Subgroups — #12976409

Order 1280.

2162 conjugacy classes of subgroups.

The subgroup lattice has 1844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅×#554	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618611	C₂	1	1	yes	maximal, characteristic
3	C₅×#3316	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615366	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615269	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613431	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613414	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613178	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613158	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613073	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613056	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612755	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612743	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612656	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612635	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612411	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612389	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612350	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612329	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611992	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611959	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611924	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611915	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611574	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611560	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611234	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611214	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610640	C₂	1	1	yes	maximal, characteristic, complemented
29	D₅×#417	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610537	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65092	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₅×#41	C₂²	1	1	yes	characteristic
33	C₂²×#713	C₂²	1	1	yes	characteristic
34	C₅×#554	C₂²	1	1	yes	characteristic, complemented
35	C₅×#548	C₂²	1	1	yes	characteristic
36	#66168	C₂²	1	1	yes	characteristic
37	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
38	C₂×#4064	C₂²	1	1	yes	characteristic
39	C₂×#4064	C₂²	1	1	yes	characteristic, complemented
40	C₂×#4061	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic, complemented
42	C₂²×#676	C₂²	1	1	yes	characteristic, complemented
43	#66064	C₂²	1	1	yes	characteristic, complemented
44	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
45	#66024	—	2	1	no	—
46	D₅×#125	—	2	1	no	—
47	#66010	—	2	1	no	—
48	#66010	C₂²	1	1	yes	characteristic
49	#66002	—	2	1	no	—
50	#66002	C₂²	1	1	yes	characteristic
51	#65970	—	2	1	no	—
52	#65970	—	2	1	no	—
53	#65969	C₂²	1	1	yes	characteristic
54	#65969	C₂²	1	1	yes	characteristic, complemented
55	#65965	—	2	1	no	—
56	#65965	C₂²	1	1	yes	characteristic
57	#65961	—	2	1	no	—
58	#65961	C₂²	1	1	yes	characteristic
59	D₅×C₂²⋊Q₈	—	2	1	no	—
60	D₅×C₂²⋊Q₈	—	2	1	no	—
61	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
62	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
63	#65943	—	2	1	no	—
64	#65943	C₂²	1	1	yes	characteristic
65	#65940	—	2	1	no	—
66	#65940	C₂²	1	1	yes	characteristic
67	#65913	C₂²	1	1	yes	characteristic, complemented
68	#65910	C₂²	1	1	yes	characteristic
69	C₄×#713	C₂²	1	1	yes	characteristic
70	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic, complemented
71	#65884	—	2	1	no	—
72	#65884	C₂²	1	1	yes	characteristic
73	C₄×D₄×D₅	—	2	1	no	—
74	C₄×D₄×D₅	—	2	1	no	—
75	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
76	#65877	C₂²	1	1	yes	characteristic, complemented
77	#65873	—	2	1	no	—
78	#65845	C₂²	1	1	yes	characteristic
79	#65845	C₂²	1	1	yes	characteristic, complemented
80	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
81	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
82	C₅×#489	C₂²	1	1	yes	characteristic, complemented
83	C₅×#483	C₂²	1	1	yes	characteristic, complemented
84	C₅×#481	C₂²	1	1	yes	characteristic, complemented
85	C₅×#475	C₂²	1	1	yes	characteristic, complemented
86	C₅×#470	C₂²	1	1	yes	characteristic, complemented
87	C₅×#465	C₂²	1	1	yes	characteristic, complemented
88	C₅×#464	C₂²	1	1	yes	characteristic, complemented
89	C₅×#452	C₂²	1	1	yes	characteristic, complemented
90	C₅×#451	C₂²	1	1	yes	characteristic, complemented
91	C₅×#441	C₂²	1	1	yes	characteristic, complemented
92	C₅×#435	C₂²	1	1	yes	characteristic, complemented
93	C₅×#417	C₂²	1	1	yes	characteristic, complemented
94	C₂×C₅×#103	C₂²	1	1	yes	characteristic, complemented
95	#65528	C₂²	1	1	yes	characteristic, complemented
96	#65521	C₂²	1	1	yes	characteristic, complemented
97	#65517	C₂²	1	1	yes	characteristic, complemented
98	C₂×#3967	C₂²	1	1	yes	characteristic, complemented
99	#65477	C₂²	1	1	yes	characteristic, complemented
100	#65476	C₂²	1	1	yes	characteristic, complemented
101	#65476	C₂²	1	1	yes	characteristic, complemented
102	#65475	C₂²	1	1	yes	characteristic, complemented
103	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
104	#65471	C₂²	1	1	yes	characteristic, complemented
105	#65463	C₂²	1	1	yes	characteristic, complemented
106	#65458	C₂²	1	1	yes	characteristic, complemented
107	#65452	C₂²	1	1	yes	characteristic, complemented
108	#65423	C₂²	1	1	yes	characteristic, complemented
109	#65422	C₂²	1	1	yes	characteristic, complemented
110	#65417	C₂²	1	1	yes	characteristic, complemented
111	#65405	C₂²	1	1	yes	characteristic, complemented
112	C₂×#3953	C₂²	1	1	yes	characteristic, complemented
113	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
114	#65378	C₂²	1	1	yes	characteristic, complemented
115	#65376	C₂²	1	1	yes	characteristic, complemented
116	#65344	C₂²	1	1	yes	characteristic, complemented
117	#65343	C₂²	1	1	yes	characteristic, complemented
118	#65341	C₂²	1	1	yes	characteristic, complemented
119	#65340	C₂²	1	1	yes	characteristic, complemented
120	#65338	C₂²	1	1	yes	characteristic, complemented
121	#65336	C₂²	1	1	yes	characteristic, complemented
122	#65335	C₂²	1	1	yes	characteristic, complemented
123	#65332	C₂²	1	1	yes	characteristic, complemented
124	#65330	C₂²	1	1	yes	characteristic, complemented
125	#65323	C₂²	1	1	yes	characteristic, complemented
126	#65319	C₂²	1	1	yes	characteristic, complemented
127	#65317	C₂²	1	1	yes	characteristic, complemented
128	#65315	C₂²	1	1	yes	characteristic, complemented
129	#65309	C₂²	1	1	yes	characteristic, complemented
130	#65300	C₂²	1	1	yes	characteristic, complemented
131	#65259	C₂²	1	1	yes	characteristic, complemented
132	#65256	C₂²	1	1	yes	characteristic, complemented
133	#65255	C₂²	1	1	yes	characteristic, complemented
134	C₂×#3941	C₂²	1	1	yes	characteristic, complemented
135	#65159	C₂²	1	1	yes	characteristic, complemented
136	#65159	C₂²	1	1	yes	characteristic, complemented
137	#65157	C₂²	1	1	yes	characteristic, complemented
138	#65153	C₂²	1	1	yes	characteristic, complemented
139	#65152	C₂²	1	1	yes	characteristic, complemented
140	#65152	C₂²	1	1	yes	characteristic, complemented
141	#65151	C₂²	1	1	yes	characteristic, complemented
142	#65151	C₂²	1	1	yes	characteristic, complemented
143	#65150	C₂²	1	1	yes	characteristic, complemented
144	#65150	C₂²	1	1	yes	characteristic, complemented
145	#65150	C₂²	1	1	yes	characteristic, complemented
146	#65141	C₂²	1	1	yes	characteristic, complemented
147	#65135	C₂²	1	1	yes	characteristic, complemented
148	#65134	C₂²	1	1	yes	characteristic, complemented
149	#65126	C₂²	1	1	yes	characteristic, complemented
150	#65125	C₂²	1	1	yes	characteristic, complemented
151	#65105	C₂²	1	1	yes	characteristic, complemented
152	#65102	C₂²	1	1	yes	characteristic, complemented
153	#65099	C₂²	1	1	yes	characteristic, complemented
154	#65099	C₂²	1	1	yes	characteristic, complemented
155	#65098	C₂²	1	1	yes	characteristic, complemented
156	#65098	C₂²	1	1	yes	characteristic, complemented
157	#65097	C₂²	1	1	yes	characteristic, complemented
158	#65096	C₂²	1	1	yes	characteristic, complemented
159	#65092	C₂²	1	1	yes	characteristic
160	#65092	C₂²	1	1	yes	characteristic
161	#65092	C₂²	1	1	yes	characteristic
162	#65092	C₂²	1	1	yes	characteristic, complemented
163	#65092	C₂²	1	1	yes	characteristic, complemented
164	#65092	C₂²	1	1	yes	characteristic, complemented
165	#65092	C₂²	1	1	yes	characteristic, complemented
166	#65092	C₂²	1	1	yes	characteristic, complemented
167	#65092	C₂²	1	1	yes	characteristic, complemented
168	#65092	C₂²	1	1	yes	characteristic, complemented
169	#65091	C₂²	1	1	yes	characteristic, complemented
170	D₅×#103	C₂²	1	1	yes	characteristic, complemented
171	D₅×#103	C₂²	1	1	yes	characteristic, complemented
172	#65083	C₂²	1	1	yes	characteristic, complemented
173	#65083	C₂²	1	1	yes	characteristic, complemented
174	#65082	C₂²	1	1	yes	characteristic, complemented
175	#65081	C₂²	1	1	yes	characteristic, complemented
176	#65081	C₂²	1	1	yes	characteristic, complemented
177	#65079	C₂²	1	1	yes	characteristic, complemented
178	#65077	C₂²	1	1	yes	characteristic, complemented
179	#65069	C₂²	1	1	yes	characteristic, complemented
180	#65065	C₂²	1	1	yes	characteristic, complemented
181	#65063	C₂²	1	1	yes	characteristic, complemented
182	#65063	C₂²	1	1	yes	characteristic, complemented
183	#65060	C₂²	1	1	yes	characteristic, complemented
184	#65060	C₂²	1	1	yes	characteristic, complemented
185	#65060	C₂²	1	1	yes	characteristic, complemented
186	D₅×#102	C₂²	1	1	yes	characteristic, complemented
187	D₅×#102	C₂²	1	1	yes	characteristic, complemented
188	#65051	C₂²	1	1	yes	characteristic, complemented
189	#65049	C₂²	1	1	yes	characteristic, complemented
190	#65049	C₂²	1	1	yes	characteristic, complemented
191	#65025	C₂²	1	1	yes	characteristic, complemented
192	#65022	C₂²	1	1	yes	characteristic, complemented
193	#65020	C₂²	1	1	yes	characteristic, complemented
194	#65018	C₂²	1	1	yes	characteristic, complemented
195	#65015	C₂²	1	1	yes	characteristic, complemented
196	#65015	C₂²	1	1	yes	characteristic, complemented
197	#65014	C₂²	1	1	yes	characteristic
198	#65011	C₂²	1	1	yes	characteristic, complemented
199	#65003	C₂²	1	1	yes	characteristic, complemented
200	#64999	C₂²	1	1	yes	characteristic, complemented
201	#64996	C₂²	1	1	yes	characteristic, complemented
202	#64995	C₂²	1	1	yes	characteristic, complemented
203	#61162	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
206	D₅×#41	—	2	4	no	—
207	D₅×#41	—	4	2	no	—
208	C₂×#713	—	2	1	no	—
209	C₂×#713	—	2	1	no	—
210	C₂×#713	—	2	4	no	—
211	C₂×#713	—	4	2	no	—
212	C₂×#713	C₂³	1	1	yes	characteristic
213	C₂×#713	C₂³	1	1	yes	characteristic
214	C₂×#713	C₂³	1	1	yes	characteristic
215	C₂×#713	C₂³	1	1	yes	characteristic
216	C₂×Q₈×D₅	—	2	1	no	—
217	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
218	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
219	C₂×#711	—	2	1	no	—
220	C₂×#711	C₂³	1	1	yes	characteristic
221	C₂×D₄×D₅	—	2	1	no	—
222	C₂×D₄×D₅	—	2	1	no	—
223	C₂×D₄×D₅	D₄	1	1	yes	characteristic
224	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
225	C₂×#709	—	2	1	no	—
226	C₂×#709	C₂³	1	1	yes	characteristic
227	C₂²×D₂₀	—	2	1	no	—
228	C₂²×D₂₀	C₂³	1	1	yes	characteristic
229	C₂²×C₄×D₅	—	2	1	no	—
230	C₂²×C₄×D₅	—	2	1	no	—
231	C₂²×C₄×D₅	—	2	1	no	—
232	C₂²×C₄×D₅	—	2	1	no	—
233	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
234	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
235	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
239	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
240	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
241	C₅×#125	—	2	1	no	—
242	C₅×#124	—	2	1	no	—
243	C₅×#124	C₂³	1	1	yes	characteristic
244	C₅×C₂²⋊Q₈	—	2	1	no	—
245	C₅×C₂²⋊Q₈	—	2	1	no	—
246	C₅×C₂²⋊Q₈	—	2	1	no	—
247	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
249	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
250	C₅×#121	—	2	1	no	—
251	C₅×#121	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×D₄	—	2	1	no	—
255	C₄×C₅×D₄	—	2	1	no	—
256	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
257	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	#4092	—	2	1	no	—
260	#4092	—	2	1	no	—
261	#4092	—	2	1	no	—
262	#4092	C₂³	1	1	yes	characteristic
263	#4092	C₂³	1	1	yes	characteristic
264	#4092	C₂³	1	1	yes	characteristic
265	Q₈×Dic₅	C₂³	1	1	yes	characteristic
266	Q₈×Dic₅	C₂³	1	1	yes	characteristic
267	#4090	—	2	1	no	—
268	#4090	—	2	1	no	—
269	#4090	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	#4086	—	2	1	no	—
276	#4086	C₂³	1	1	yes	characteristic
277	#4084	—	2	1	no	—
278	#4084	C₂³	1	1	yes	characteristic
279	#4083	—	2	1	no	—
280	#4083	—	2	1	no	—
281	#4083	—	2	1	no	—
282	D₄×Dic₅	—	2	1	no	—
283	D₄×Dic₅	—	2	1	no	—
284	D₄×Dic₅	D₄	1	1	yes	characteristic
285	C₂×#687	C₂³	1	1	yes	characteristic
286	#4076	—	2	1	no	—
287	#4076	C₂³	1	1	yes	characteristic
288	C₄×C₂²⋊D₅	—	2	1	no	—
289	C₄×C₂²⋊D₅	—	2	1	no	—
290	C₄×C₂²⋊D₅	—	2	1	no	—
291	C₄×C₂²⋊D₅	—	2	1	no	—
292	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
293	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
296	#4070	—	2	1	no	—
297	#4070	—	2	1	no	—
298	#4070	—	2	1	no	—
299	#4070	C₂³	1	1	yes	characteristic
300	#4070	C₂³	1	1	yes	characteristic
301	#4070	C₂³	1	1	yes	characteristic
302	C₂×#683	—	2	1	no	—
303	C₂×#683	—	2	1	no	—
304	C₂×#681	C₂³	1	1	yes	characteristic
305	C₂²×#168	C₂³	1	1	yes	characteristic
306	#4064	—	2	4	no	—
307	#4064	—	4	2	no	—
308	#4061	—	4	2	no	—
309	D₅×M₁₆	—	4	2	no	—
310	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
311	C₂×#677	C₂³	1	1	yes	characteristic
312	C₂×#677	C₂³	1	1	yes	characteristic
313	C₂×#676	—	4	2	no	—
314	C₂×#676	C₂³	1	1	yes	characteristic
315	C₂×#676	C₂³	1	1	yes	characteristic
316	C₂×#676	C₂³	1	1	yes	characteristic
317	C₂×#676	C₂³	1	1	yes	characteristic
318	C₂×#676	C₂³	1	1	yes	characteristic
319	C₂×#676	C₂³	1	1	yes	characteristic
320	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
321	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
322	#4043	—	2	1	no	—
323	#4043	—	2	1	no	—
324	#4043	—	2	1	no	—
325	#4043	C₂³	1	1	yes	characteristic
326	#4043	C₂³	1	1	yes	characteristic
327	#4043	C₂³	1	1	yes	characteristic
328	#4042	—	2	1	no	—
329	#4042	—	2	1	no	—
330	#4042	—	2	1	no	—
331	#4042	—	2	1	no	—
332	#4042	—	2	1	no	—
333	#4042	—	2	1	no	—
334	#4041	—	2	1	no	—
335	#4041	C₂³	1	1	yes	characteristic
336	#4040	—	2	1	no	—
337	#4040	—	2	1	no	—
338	#4040	—	2	1	no	—
339	#4039	—	2	1	no	—
340	#4039	—	2	1	no	—
341	#4039	—	2	1	no	—
342	#4039	D₄	1	1	yes	characteristic
343	#4039	C₂³	1	1	yes	characteristic
344	#4038	—	2	1	no	—
345	#4038	C₂³	1	1	yes	characteristic
346	D₅×C₄⋊C₄	—	2	1	no	—
347	D₅×C₄⋊C₄	—	2	1	no	—
348	D₅×C₄⋊C₄	—	2	1	no	—
349	D₅×C₄⋊C₄	—	2	1	no	—
350	D₅×C₄⋊C₄	—	2	1	no	—
351	D₅×C₄⋊C₄	—	2	1	no	—
352	D₅×C₄⋊C₄	—	2	1	no	—
353	D₅×C₄⋊C₄	—	2	1	no	—
354	D₅×C₄⋊C₄	—	2	1	no	—
355	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
356	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
357	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
358	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
359	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
360	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
361	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
362	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
363	#4036	—	2	1	no	—
364	#4036	—	2	1	no	—
365	#4035	—	2	1	no	—
366	#4035	—	2	1	no	—
367	#4035	—	2	1	no	—
368	#4035	—	2	1	no	—
369	#4034	—	2	1	no	—
370	#4034	C₂³	1	1	yes	characteristic
371	#4034	C₂³	1	1	yes	characteristic
372	#4033	—	2	1	no	—
373	#4033	C₂³	1	1	yes	characteristic
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	#4030	—	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	#4027	—	2	1	no	—
387	#4027	—	2	1	no	—
388	#4027	—	2	1	no	—
389	#4027	—	2	1	no	—
390	#4027	—	2	1	no	—
391	#4027	—	2	1	no	—
392	#4027	D₄	1	1	yes	characteristic
393	#4027	D₄	1	1	yes	characteristic
394	D₅×C₂²⋊C₄	—	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	D₄	1	1	yes	characteristic
399	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
400	#4024	—	2	1	no	—
401	#4024	—	2	1	no	—
402	#4024	—	2	1	no	—
403	#4024	—	2	1	no	—
404	#4024	—	2	1	no	—
405	#4024	—	2	1	no	—
406	#4021	—	2	1	no	—
407	#4021	C₂³	1	1	yes	characteristic
408	C₄×D₂₀	—	2	1	no	—
409	C₄×D₂₀	—	2	1	no	—
410	C₄×D₂₀	—	2	1	no	—
411	C₄×D₂₀	C₂³	1	1	yes	characteristic
412	C₄×D₂₀	C₂³	1	1	yes	characteristic
413	C₄²×D₅	—	2	1	no	—
414	C₄²×D₅	—	2	1	no	—
415	C₄²×D₅	C₂³	1	1	yes	characteristic
416	#4016	—	2	1	no	—
417	#4015	C₂³	1	1	yes	characteristic
418	C₄×Dic₁₀	—	2	1	no	—
419	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
420	C₅×#106	C₂³	1	1	yes	characteristic
421	C₅×#106	C₂³	1	1	yes	characteristic
422	C₅×#106	C₂³	1	1	yes	characteristic
423	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₅×#103	C₂³	1	1	yes	characteristic
425	C₅×#103	C₂³	1	1	yes	characteristic
426	C₅×#103	C₂³	1	1	yes	characteristic
427	C₅×#103	C₂³	1	1	yes	characteristic
428	C₅×#103	C₂³	1	1	yes	characteristic
429	C₅×#103	C₂³	1	1	yes	characteristic
430	C₅×#103	C₂³	1	1	yes	characteristic
431	C₅×#102	C₂³	1	1	yes	characteristic
432	C₅×#102	C₂³	1	1	yes	characteristic
433	C₅×#102	C₂³	1	1	yes	characteristic
434	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
436	C₅×#97	C₂³	1	1	yes	characteristic
437	#3967	C₂³	1	1	yes	characteristic
438	#3967	C₂³	1	1	yes	characteristic
439	#3967	C₂³	1	1	yes	characteristic
440	#3967	C₂³	1	1	yes	characteristic
441	#3967	C₂³	1	1	yes	characteristic
442	#3967	C₂³	1	1	yes	characteristic
443	#3967	C₂³	1	1	yes	characteristic
444	#3964	C₂³	1	1	yes	characteristic
445	#3964	C₂³	1	1	yes	characteristic
446	#3964	C₂³	1	1	yes	characteristic
447	C₂²⋊#168	C₂³	1	1	yes	characteristic
448	C₂²⋊#168	C₂³	1	1	yes	characteristic
449	#3953	C₂³	1	1	yes	characteristic
450	#3953	C₂³	1	1	yes	characteristic
451	#3953	C₂³	1	1	yes	characteristic
452	#3953	C₂³	1	1	yes	characteristic
453	#3953	C₂³	1	1	yes	characteristic
454	#3953	C₂³	1	1	yes	characteristic
455	#3952	C₂³	1	1	yes	characteristic
456	#3952	C₂³	1	1	yes	characteristic
457	#3952	C₂³	1	1	yes	characteristic
458	#3952	C₂³	1	1	yes	characteristic
459	#3950	C₂³	1	1	yes	characteristic
460	#3950	C₂³	1	1	yes	characteristic
461	#3950	C₂³	1	1	yes	characteristic
462	#3948	C₂³	1	1	yes	characteristic
463	#3948	C₂³	1	1	yes	characteristic
464	#3948	C₂³	1	1	yes	characteristic
465	#3948	C₂³	1	1	yes	characteristic
466	#3946	C₂³	1	1	yes	characteristic
467	#3946	C₂³	1	1	yes	characteristic
468	C₈×Dic₅	C₂³	1	1	yes	characteristic
469	C₈×Dic₅	C₂³	1	1	yes	characteristic
470	#3942	C₂³	1	1	yes	characteristic
471	#3942	C₂³	1	1	yes	characteristic
472	#3942	C₂³	1	1	yes	characteristic
473	#3942	C₂³	1	1	yes	characteristic
474	#3941	C₂³	1	1	yes	characteristic
475	#3941	C₂³	1	1	yes	characteristic
476	#3941	C₂³	1	1	yes	characteristic
477	#3941	C₂³	1	1	yes	characteristic
478	#3941	C₂³	1	1	yes	characteristic
479	#3941	C₂³	1	1	yes	characteristic
480	#3940	C₂³	1	1	yes	characteristic
481	#3940	C₂³	1	1	yes	characteristic
482	#3940	C₂³	1	1	yes	characteristic
483	#3939	C₂³	1	1	yes	characteristic
484	#3939	C₂³	1	1	yes	characteristic
485	#3939	C₂³	1	1	yes	characteristic
486	C₄⋊#168	C₂³	1	1	yes	characteristic
487	#3935	C₂³	1	1	yes	characteristic
488	C₂×#554	—	5	1	no	—
489	D₄×#41	—	5	1	no	—
490	#3333	—	5	1	no	—
491	#3333	—	5	1	no	—
492	#3331	—	5	1	no	—
493	#3331	—	5	1	no	—
494	#3316	—	5	1	no	—
495	#3316	—	5	1	no	—
496	#3316	—	5	1	no	—
497	#3316	D₅	1	1	yes	characteristic, complemented
498	#3314	—	5	1	no	—
499	#3314	—	5	1	no	—
500	#3314	—	5	1	no	—
501	#3314	—	5	1	no	—
502	#3299	—	5	1	no	—
503	#3299	—	5	1	no	—
504	#3295	—	5	1	no	—
505	#3295	—	5	1	no	—
506	#3141	—	5	1	no	—
507	#3092	—	5	1	no	—
508	#3092	—	5	1	no	—
509	#3079	—	5	1	no	—
510	#3056	—	5	1	no	—
511	#3056	—	5	1	no	—
512	#3037	—	5	1	no	—
513	#3007	—	5	1	no	—
514	#3007	—	5	1	no	—
515	C₄×#137	—	5	1	no	—
516	D₄×M₁₆	—	5	1	no	—
517	C₂×#417	—	5	1	no	—
518	C₂×#417	—	5	1	no	—
519	C₂³×D₅	—	2	1	no	—
520	C₂³×D₅	—	2	1	no	—
521	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
522	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
523	C₅×#41	—	2	2	no	—
524	C₅×#41	—	4	1	no	—
525	C₂×C₅×Q₈	—	2	1	no	—
526	C₂×C₅×Q₈	—	2	1	no	—
527	C₂×C₅×Q₈	—	2	2	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	C₂×D₄	1	1	yes	characteristic
535	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
536	C₂²×C₄×C₅	—	2	1	no	—
537	C₂²×C₄×C₅	—	2	1	no	—
538	C₂²×C₄×C₅	—	2	1	no	—
539	C₂²×C₄×C₅	—	2	1	no	—
540	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
541	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
542	C₂×C₂²⋊D₅	—	2	1	no	—
543	C₂×C₂²⋊D₅	—	2	1	no	—
544	C₂×C₂²⋊D₅	—	2	1	no	—
545	C₂×C₂²⋊D₅	—	2	1	no	—
546	C₂×C₂²⋊D₅	—	2	1	no	—
547	C₂×C₂²⋊D₅	—	2	1	no	—
548	C₂×C₂²⋊D₅	—	2	1	no	—
549	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
550	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
551	C₂²×Dic₅	—	2	1	no	—
552	C₂²×Dic₅	—	2	1	no	—
553	C₂²×Dic₅	—	2	1	no	—
554	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
555	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
556	#713	—	2	2	no	—
557	#713	—	2	2	no	—
558	#713	—	2	2	no	—
559	#713	—	2	2	no	—
560	#713	—	2	2	no	—
561	#713	—	4	4	no	—
562	#713	—	4	1	no	—
563	#713	—	4	1	no	—
564	#713	—	4	4	no	—
565	#713	#41	1	4	yes	—
566	Q₈×D₅	—	2	2	no	—
567	Q₈×D₅	—	2	2	no	—
568	Q₈×D₅	—	2	2	no	—
569	Q₈×D₅	—	4	1	no	—
570	Q₈×D₅	—	8	2	no	—
571	#711	—	2	2	no	—
572	#711	—	2	2	no	—
573	#711	—	4	4	no	—
574	D₄×D₅	—	2	4	no	—
575	D₄×D₅	—	2	2	no	—
576	D₄×D₅	—	4	1	no	—
577	D₄×D₅	—	4	4	no	—
578	D₄×D₅	—	4	4	no	—
579	#709	—	2	2	no	—
580	#709	—	4	1	no	—
581	#709	—	4	4	no	—
582	C₂×D₂₀	—	2	1	no	—
583	C₂×D₂₀	—	2	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	—	4	1	no	—
590	C₂×D₂₀	—	4	4	no	—
591	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
592	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
593	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
594	C₂×C₄×D₅	—	2	1	no	—
595	C₂×C₄×D₅	—	2	2	no	—
596	C₂×C₄×D₅	—	2	2	no	—
597	C₂×C₄×D₅	—	2	2	no	—
598	C₂×C₄×D₅	—	2	2	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	4	no	—
615	C₂×C₄×D₅	—	4	4	no	—
616	C₂×C₄×D₅	—	8	2	no	—
617	C₂×C₄×D₅	—	8	2	no	—
618	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
619	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
620	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
621	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
622	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
623	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
624	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
625	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
626	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
633	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
634	C₅×Q₁₆	—	2	2	no	—
635	C₅×Q₁₆	—	4	1	no	—
636	C₅×SD₁₆	—	4	1	no	—
637	C₅×M₁₆	—	4	1	no	—
638	C₂×C₅×C₈	—	4	1	no	—
639	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
640	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
641	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
642	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
643	C₅×C₄⋊C₄	—	2	1	no	—
644	C₅×C₄⋊C₄	—	2	1	no	—
645	C₅×C₄⋊C₄	—	2	1	no	—
646	C₅×C₄⋊C₄	—	2	1	no	—
647	C₅×C₄⋊C₄	—	2	1	no	—
648	C₅×C₄⋊C₄	—	2	1	no	—
649	C₅×C₄⋊C₄	—	2	1	no	—
650	C₅×C₄⋊C₄	—	2	1	no	—
651	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
652	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
653	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
654	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
655	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
656	C₅×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	C₅×C₂²⋊C₄	—	2	1	no	—
661	C₅×C₂²⋊C₄	—	2	1	no	—
662	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
663	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
664	C₄²×C₅	—	2	1	no	—
665	C₄²×C₅	—	2	1	no	—
666	C₄²×C₅	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
672	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
673	#689	—	2	2	no	—
674	#689	—	4	1	no	—
675	#689	—	4	1	no	—
676	#688	—	2	2	no	—
677	#688	—	4	1	no	—
678	#687	—	4	1	no	—
679	#685	—	2	1	no	—
680	#685	—	2	1	no	—
681	#685	—	2	1	no	—
682	#685	—	2	1	no	—
683	#685	—	2	1	no	—
684	#685	—	2	1	no	—
685	#685	—	2	1	no	—
686	#685	—	2	1	no	—
687	#685	—	2	1	no	—
688	#685	—	2	1	no	—
689	#685	—	2	1	no	—
690	#685	—	2	1	no	—
691	#685	—	2	1	no	—
692	#685	C₂×D₄	1	1	yes	characteristic
693	#685	C₂×D₄	1	1	yes	characteristic
694	#685	C₂×D₄	1	1	yes	characteristic
695	#685	C₂×D₄	1	1	yes	characteristic
696	C₄⋊Dic₅	—	2	1	no	—
697	C₄⋊Dic₅	—	2	1	no	—
698	C₄⋊Dic₅	—	2	1	no	—
699	C₄⋊Dic₅	—	2	1	no	—
700	C₄⋊Dic₅	—	2	1	no	—
701	C₄⋊Dic₅	—	2	1	no	—
702	C₄⋊Dic₅	—	2	1	no	—
703	C₄⋊Dic₅	—	2	1	no	—
704	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
705	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
706	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
707	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
708	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
709	#683	—	2	1	no	—
710	#683	—	2	1	no	—
711	#683	—	2	1	no	—
712	#683	—	2	1	no	—
713	#683	—	2	1	no	—
714	#683	—	2	1	no	—
715	#683	—	2	1	no	—
716	#683	—	2	1	no	—
717	#683	—	2	1	no	—
718	#683	—	2	1	no	—
719	#683	—	2	1	no	—
720	#683	—	2	1	no	—
721	#683	—	2	1	no	—
722	#683	—	2	1	no	—
723	#683	—	2	1	no	—
724	#683	—	2	1	no	—
725	#683	—	2	1	no	—
726	#683	—	2	1	no	—
727	#683	—	2	1	no	—
728	#683	C₂×D₄	1	1	yes	characteristic
729	#683	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
738	#681	—	4	1	no	—
739	C₂×#168	—	4	1	no	—
740	C₂×#168	C₂⁴	1	1	yes	characteristic
741	C₂×#168	C₂⁴	1	1	yes	characteristic
742	C₂×#168	C₂⁴	1	1	yes	characteristic
743	C₂×#168	C₂⁴	1	1	yes	characteristic
744	Dic₂₀	—	4	1	no	—
745	#677	—	2	2	no	—
746	#677	—	4	1	no	—
747	#676	—	2	2	no	—
748	#676	—	2	2	no	—
749	#676	—	2	2	no	—
750	#676	—	2	2	no	—
751	#676	—	4	1	no	—
752	#676	—	4	1	no	—
753	C₈×D₅	—	4	1	no	—
754	C₈×D₅	—	4	1	no	—
755	C₂²×#41	—	5	1	no	—
756	C₂²×#41	—	5	1	no	—
757	C₂×#137	—	5	1	no	—
758	C₂×#137	—	5	1	no	—
759	C₂×#137	—	5	1	no	—
760	C₂²×M₁₆	—	5	1	no	—
761	C₂²×M₁₆	—	5	1	no	—
762	#554	—	5	1	no	—
763	#554	—	5	1	no	—
764	#554	—	5	1	no	—
765	#554	—	5	1	no	—
766	#554	—	5	1	no	—
767	#554	—	5	1	no	—
768	#554	—	5	1	no	—
769	#554	—	10	1	no	—
770	#554	—	10	1	no	—
771	#554	—	10	1	no	—
772	#554	—	10	1	no	—
773	#554	C₂×D₅	1	1	yes	characteristic, complemented
774	#550	—	5	1	no	—
775	D₄×Q₈	—	5	1	no	—
776	#548	—	5	1	no	—
777	#548	C₂×D₅	1	1	yes	characteristic
778	#547	—	5	1	no	—
779	#547	—	10	1	no	—
780	#546	—	5	1	no	—
781	#546	—	5	1	no	—
782	#546	—	10	1	no	—
783	#546	—	10	1	no	—
784	D₄²	—	5	1	no	—
785	D₄²	—	10	1	no	—
786	#532	—	5	1	no	—
787	#532	—	10	1	no	—
788	C₂×C₄⋊Q₈	—	5	1	no	—
789	C₂×#125	—	10	1	no	—
790	#525	—	5	1	no	—
791	#525	—	5	1	no	—
792	#525	—	10	1	no	—
793	#525	—	10	1	no	—
794	C₂×C₂²⋊Q₈	—	5	1	no	—
795	C₂×C₂²⋊Q₈	—	5	1	no	—
796	C₂×C₂²⋊Q₈	—	10	1	no	—
797	C₂×C₂²⋊Q₈	—	10	1	no	—
798	C₄×#41	—	5	1	no	—
799	C₂×C₄×Q₈	—	5	1	no	—
800	C₂×C₄×D₄	—	5	1	no	—
801	C₂×C₄×D₄	—	10	1	no	—
802	C₂×C₄×D₄	—	10	1	no	—
803	C₂²×C₄⋊C₄	—	5	1	no	—
804	C₂²×C₄⋊C₄	—	5	1	no	—
805	#489	—	5	1	no	—
806	#489	—	5	1	no	—
807	#489	—	5	1	no	—
808	#489	C₂×D₅	1	1	yes	characteristic, complemented
809	#487	—	5	1	no	—
810	#487	—	5	1	no	—
811	#486	—	5	1	no	—
812	#486	—	5	1	no	—
813	#484	—	5	1	no	—
814	#484	—	5	1	no	—
815	#484	—	5	1	no	—
816	#484	—	5	1	no	—
817	#483	—	5	1	no	—
818	#483	—	5	1	no	—
819	#483	—	5	1	no	—
820	#483	C₂×D₅	1	1	yes	characteristic, complemented
821	#481	—	5	1	no	—
822	#481	—	5	1	no	—
823	#481	—	5	1	no	—
824	#481	C₂×D₅	1	1	yes	characteristic, complemented
825	#480	—	5	1	no	—
826	#480	—	5	1	no	—
827	#480	—	5	1	no	—
828	#480	—	5	1	no	—
829	#477	—	5	1	no	—
830	#477	—	5	1	no	—
831	#476	—	5	1	no	—
832	#476	—	5	1	no	—
833	#475	—	5	1	no	—
834	#475	C₂×D₅	1	1	yes	characteristic, complemented
835	#474	—	5	1	no	—
836	#474	—	5	1	no	—
837	#470	—	5	1	no	—
838	#470	—	5	1	no	—
839	#470	—	5	1	no	—
840	#470	C₂×D₅	1	1	yes	characteristic, complemented
841	#468	—	5	1	no	—
842	#468	—	5	1	no	—
843	#468	—	5	1	no	—
844	#468	—	5	1	no	—
845	#467	—	5	1	no	—
846	#467	—	5	1	no	—
847	#467	—	5	1	no	—
848	#467	—	5	1	no	—
849	#465	—	5	1	no	—
850	#465	—	5	1	no	—
851	#465	—	5	1	no	—
852	#465	C₂×D₅	1	1	yes	characteristic, complemented
853	#464	—	5	1	no	—
854	#464	—	5	1	no	—
855	#464	—	5	1	no	—
856	#464	C₂×D₅	1	1	yes	characteristic, complemented
857	#462	—	5	1	no	—
858	#462	—	5	1	no	—
859	#460	—	5	1	no	—
860	#460	—	5	1	no	—
861	#452	—	5	1	no	—
862	#452	—	5	1	no	—
863	#452	—	5	1	no	—
864	#452	—	5	1	no	—
865	#452	—	5	1	no	—
866	#452	—	5	1	no	—
867	#452	—	5	1	no	—
868	#452	C₂×D₅	1	1	yes	characteristic, complemented
869	#451	—	5	1	no	—
870	#451	—	5	1	no	—
871	#451	—	5	1	no	—
872	#451	C₂×D₅	1	1	yes	characteristic, complemented
873	#450	—	5	1	no	—
874	#450	—	5	1	no	—
875	#450	—	5	1	no	—
876	#450	—	5	1	no	—
877	#441	—	5	1	no	—
878	#441	C₂×D₅	1	1	yes	characteristic, complemented
879	#440	—	5	1	no	—
880	#440	—	5	1	no	—
881	C₄×Q₁₆	—	5	1	no	—
882	C₄×Q₁₆	—	5	1	no	—
883	C₄×SD₁₆	—	5	1	no	—
884	C₄×SD₁₆	—	5	1	no	—
885	#436	—	5	1	no	—
886	#436	—	5	1	no	—
887	#435	—	5	1	no	—
888	#435	—	5	1	no	—
889	#435	—	5	1	no	—
890	#435	C₂×D₅	1	1	yes	characteristic, complemented
891	C₈×D₄	—	5	1	no	—
892	C₈×D₄	—	5	1	no	—
893	#428	—	5	1	no	—
894	#428	—	5	1	no	—
895	#428	—	5	1	no	—
896	#423	—	5	1	no	—
897	#419	—	5	1	no	—
898	#417	—	5	1	no	—
899	#417	—	5	1	no	—
900	#417	—	5	1	no	—
901	#417	—	5	1	no	—
902	#417	—	5	1	no	—
903	#417	—	5	1	no	—
904	#417	—	5	1	no	—
905	#417	—	5	1	no	—
906	#417	—	5	1	no	—
907	#417	—	5	1	no	—
908	#417	—	5	1	no	—
909	#417	—	5	1	no	—
910	#417	—	5	1	no	—
911	#417	—	5	1	no	—
912	#417	—	5	1	no	—
913	#417	—	5	1	no	—
914	#417	C₂×D₅	1	1	yes	characteristic, complemented
915	C₂×#103	—	5	1	no	—
916	C₂×#103	—	5	1	no	—
917	C₂×#103	—	5	1	no	—
918	C₂×#103	C₂×D₅	1	1	yes	characteristic, complemented
919	C₂×#102	—	5	1	no	—
920	C₂×#102	—	5	1	no	—
921	C₂×#102	—	5	1	no	—
922	C₂×#102	—	5	1	no	—
923	#407	—	5	1	no	—
924	#407	—	5	1	no	—
925	C₄×M₁₆	—	5	1	no	—
926	C₂³×C₅	—	2	1	no	—
927	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
928	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
929	C₂²×D₅	—	2	2	no	—
930	C₂²×D₅	—	2	1	no	—
931	C₂²×D₅	—	2	2	no	—
932	C₂²×D₅	—	2	2	no	—
933	C₂²×D₅	—	2	2	no	—
934	C₂²×D₅	—	2	1	no	—
935	C₂²×D₅	—	4	1	no	—
936	C₂²×D₅	—	4	1	no	—
937	C₂²×D₅	—	4	2	no	—
938	C₂²×D₅	—	4	2	no	—
939	C₂²×D₅	—	4	2	no	—
940	C₂²×D₅	—	4	2	no	—
941	C₂²×D₅	—	8	1	no	—
942	C₂²×D₅	—	8	1	no	—
943	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
944	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
945	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
946	C₅×Q₈	—	2	1	no	—
947	C₅×Q₈	—	2	1	no	—
948	C₅×Q₈	—	2	1	no	—
949	C₅×Q₈	—	2	1	no	—
950	C₅×Q₈	—	2	1	no	—
951	C₅×Q₈	—	4	2	no	—
952	C₅×Q₈	—	8	1	no	—
953	C₅×Q₈	C₂×#41	1	2	yes	—
954	C₅×D₄	—	2	2	no	—
955	C₅×D₄	—	2	1	no	—
956	C₅×D₄	—	2	1	no	—
957	C₅×D₄	—	4	2	no	—
958	C₅×D₄	—	4	2	no	—
959	C₂×C₄×C₅	—	2	1	no	—
960	C₂×C₄×C₅	—	2	1	no	—
961	C₂×C₄×C₅	—	2	1	no	—
962	C₂×C₄×C₅	—	2	1	no	—
963	C₂×C₄×C₅	—	2	1	no	—
964	C₂×C₄×C₅	—	2	1	no	—
965	C₂×C₄×C₅	—	2	1	no	—
966	C₂×C₄×C₅	—	2	1	no	—
967	C₂×C₄×C₅	—	2	1	no	—
968	C₂×C₄×C₅	—	2	1	no	—
969	C₂×C₄×C₅	—	2	1	no	—
970	C₂×C₄×C₅	—	4	2	no	—
971	C₂×C₄×C₅	—	4	2	no	—
972	C₂×C₄×C₅	—	8	1	no	—
973	C₂×C₄×C₅	—	8	1	no	—
974	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
975	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
976	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
977	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
978	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
979	C₂²⋊D₅	—	2	2	no	—
980	C₂²⋊D₅	—	4	2	no	—
981	C₂²⋊D₅	—	4	2	no	—
982	C₂²⋊D₅	—	4	2	no	—
983	C₂²⋊D₅	—	4	2	no	—
984	C₂²⋊D₅	—	8	1	no	—
985	C₂²⋊D₅	—	8	1	no	—
986	C₂²⋊D₅	—	8	1	no	—
987	C₂²⋊D₅	#137	1	4	yes	complemented
988	C₂×Dic₅	—	2	2	no	—
989	C₂×Dic₅	—	2	2	no	—
990	C₂×Dic₅	—	2	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	—	4	2	no	—
997	C₂×Dic₅	—	8	1	no	—
998	C₂×Dic₅	—	8	1	no	—
999	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
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	4	no	—
1005	D₂₀	—	2	2	no	—
1006	D₂₀	—	2	1	no	—
1007	D₂₀	—	2	1	no	—
1008	D₂₀	—	2	1	no	—
1009	D₂₀	—	4	2	no	—
1010	D₂₀	—	4	2	no	—
1011	D₂₀	—	4	2	no	—
1012	D₂₀	—	4	2	no	—
1013	D₂₀	—	4	2	no	—
1014	D₂₀	C₂×#41	1	2	yes	—
1015	C₄×D₅	—	2	2	no	—
1016	C₄×D₅	—	2	2	no	—
1017	C₄×D₅	—	2	1	no	—
1018	C₄×D₅	—	2	1	no	—
1019	C₄×D₅	—	2	1	no	—
1020	C₄×D₅	—	2	1	no	—
1021	C₄×D₅	—	2	2	no	—
1022	C₄×D₅	—	2	2	no	—
1023	C₄×D₅	—	2	4	no	—
1024	C₄×D₅	—	2	2	no	—
1025	C₄×D₅	—	4	1	no	—
1026	C₄×D₅	—	4	2	no	—
1027	C₄×D₅	—	4	2	no	—
1028	C₄×D₅	—	4	2	no	—
1029	C₄×D₅	—	4	2	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	—	8	1	no	—
1037	C₄×D₅	—	8	1	no	—
1038	C₄×D₅	—	8	1	no	—
1039	C₄×D₅	—	8	1	no	—
1040	C₄×D₅	—	8	1	no	—
1041	C₄×D₅	C₂×#41	1	2	yes	—
1042	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1043	Dic₁₀	—	2	1	no	—
1044	Dic₁₀	—	2	1	no	—
1045	Dic₁₀	—	2	1	no	—
1046	Dic₁₀	—	2	1	no	—
1047	Dic₁₀	—	4	2	no	—
1048	Dic₁₀	—	4	2	no	—
1049	Dic₁₀	—	8	1	no	—
1050	Dic₁₀	—	8	1	no	—
1051	Dic₁₀	—	8	1	no	—
1052	C₅×C₈	—	2	1	no	—
1053	C₅×C₈	—	2	1	no	—
1054	C₅×C₈	—	2	1	no	—
1055	C₅×C₈	—	2	1	no	—
1056	#168	—	2	1	no	—
1057	#168	—	2	1	no	—
1058	#168	—	2	1	no	—
1059	#168	—	2	1	no	—
1060	C₂×#41	—	5	1	no	—
1061	C₂×#41	—	5	1	no	—
1062	C₂×#41	—	5	1	no	—
1063	C₂×#41	—	5	1	no	—
1064	C₂×#41	—	5	1	no	—
1065	C₂×#41	—	5	1	no	—
1066	C₂×#41	—	10	1	no	—
1067	C₂×#41	—	10	1	no	—
1068	C₂×#41	—	10	1	no	—
1069	C₂×#41	—	10	1	no	—
1070	C₂×#41	—	10	4	no	—
1071	C₂×#41	—	10	4	no	—
1072	C₂×#41	—	20	2	no	—
1073	C₂×#41	—	20	2	no	—
1074	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1075	C₂²×Q₈	—	5	1	no	—
1076	C₂²×Q₈	—	5	1	no	—
1077	C₂²×Q₈	—	10	1	no	—
1078	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1079	C₂²×D₄	—	5	1	no	—
1080	C₂²×D₄	—	5	1	no	—
1081	C₂²×D₄	—	5	1	no	—
1082	C₂²×D₄	—	10	1	no	—
1083	C₂²×D₄	—	10	1	no	—
1084	C₂²×D₄	—	10	1	no	—
1085	C₂³×C₄	—	5	1	no	—
1086	C₂³×C₄	—	5	1	no	—
1087	C₂³×C₄	—	10	1	no	—
1088	C₂³×C₄	—	10	1	no	—
1089	C₂³×C₄	—	10	1	no	—
1090	C₂³×C₄	—	10	1	no	—
1091	#137	—	10	4	no	—
1092	#137	—	20	2	no	—
1093	#137	—	20	2	no	—
1094	C₂×Q₁₆	—	5	1	no	—
1095	C₂×Q₁₆	—	5	1	no	—
1096	C₂×Q₁₆	—	5	1	no	—
1097	C₂×Q₁₆	—	5	1	no	—
1098	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1099	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1100	C₂×SD₁₆	—	5	1	no	—
1101	C₂×SD₁₆	—	5	1	no	—
1102	C₂×SD₁₆	—	5	1	no	—
1103	C₂×SD₁₆	—	5	1	no	—
1104	C₂×SD₁₆	—	5	1	no	—
1105	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1106	C₂×M₁₆	—	5	1	no	—
1107	C₂×M₁₆	—	5	1	no	—
1108	C₂×M₁₆	—	5	1	no	—
1109	C₂×M₁₆	—	5	1	no	—
1110	C₂×M₁₆	—	5	1	no	—
1111	C₂×M₁₆	—	5	1	no	—
1112	C₂×M₁₆	—	5	1	no	—
1113	C₂×M₁₆	—	20	2	no	—
1114	C₂×M₁₆	—	20	2	no	—
1115	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1116	C₂²×C₈	—	5	1	no	—
1117	C₂²×C₈	—	5	1	no	—
1118	C₂²×C₈	—	5	1	no	—
1119	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1120	C₄⋊Q₈	—	5	1	no	—
1121	C₄⋊Q₈	—	5	1	no	—
1122	C₄⋊Q₈	—	5	1	no	—
1123	C₄⋊Q₈	—	5	1	no	—
1124	C₄⋊Q₈	—	10	1	no	—
1125	C₄⋊Q₈	—	10	1	no	—
1126	C₄⋊Q₈	—	10	1	no	—
1127	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1128	#127	—	5	1	no	—
1129	#127	—	10	1	no	—
1130	#125	—	2	1	no	—
1131	#125	—	10	1	no	—
1132	#125	—	10	1	no	—
1133	#125	—	10	1	no	—
1134	#125	—	10	1	no	—
1135	#125	—	10	1	no	—
1136	#125	—	10	1	no	—
1137	#125	—	10	1	no	—
1138	#124	—	2	1	no	—
1139	#124	—	5	1	no	—
1140	#124	—	10	1	no	—
1141	#124	C₂²×D₅	1	1	yes	characteristic
1142	#123	—	10	1	no	—
1143	#123	—	10	1	no	—
1144	#123	—	10	1	no	—
1145	#123	—	10	1	no	—
1146	#123	—	10	1	no	—
1147	#123	—	10	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	—	2	1	no	—
1151	C₂²⋊Q₈	—	5	1	no	—
1152	C₂²⋊Q₈	—	5	1	no	—
1153	C₂²⋊Q₈	—	5	1	no	—
1154	C₂²⋊Q₈	—	5	1	no	—
1155	C₂²⋊Q₈	—	5	1	no	—
1156	C₂²⋊Q₈	—	5	1	no	—
1157	C₂²⋊Q₈	—	5	1	no	—
1158	C₂²⋊Q₈	—	5	1	no	—
1159	C₂²⋊Q₈	—	5	1	no	—
1160	C₂²⋊Q₈	—	10	1	no	—
1161	C₂²⋊Q₈	—	10	1	no	—
1162	C₂²⋊Q₈	—	10	1	no	—
1163	C₂²⋊Q₈	—	10	1	no	—
1164	C₂²⋊Q₈	—	10	1	no	—
1165	C₂²⋊Q₈	—	10	1	no	—
1166	C₂²⋊Q₈	—	10	1	no	—
1167	C₂²⋊Q₈	—	10	1	no	—
1168	C₂²⋊Q₈	—	10	1	no	—
1169	C₂²⋊Q₈	—	10	1	no	—
1170	C₂²⋊Q₈	—	10	1	no	—
1171	C₂²⋊Q₈	—	10	1	no	—
1172	C₂²⋊Q₈	—	10	1	no	—
1173	C₂²⋊Q₈	—	10	1	no	—
1174	C₂²⋊Q₈	—	10	1	no	—
1175	C₂²⋊Q₈	—	10	1	no	—
1176	C₂²⋊Q₈	—	10	1	no	—
1177	C₂²⋊Q₈	—	10	1	no	—
1178	C₂²⋊Q₈	—	10	1	no	—
1179	C₂²⋊Q₈	—	10	1	no	—
1180	C₂²⋊Q₈	—	10	1	no	—
1181	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1182	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1183	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1184	#121	—	2	1	no	—
1185	#121	—	5	1	no	—
1186	#121	—	5	1	no	—
1187	#121	—	5	1	no	—
1188	#121	—	10	1	no	—
1189	#121	—	10	1	no	—
1190	#121	—	10	1	no	—
1191	#121	—	10	1	no	—
1192	#121	—	10	1	no	—
1193	#121	—	10	1	no	—
1194	#121	—	10	1	no	—
1195	#121	—	10	1	no	—
1196	#121	—	10	1	no	—
1197	#121	C₂²×D₅	1	1	yes	characteristic
1198	#120	—	10	1	no	—
1199	#120	—	10	1	no	—
1200	#120	—	10	1	no	—
1201	#120	—	10	1	no	—
1202	#120	—	10	1	no	—
1203	#120	—	10	1	no	—
1204	C₄×Q₈	—	5	1	no	—
1205	C₄×Q₈	—	5	1	no	—
1206	C₄×Q₈	—	5	1	no	—
1207	C₄×Q₈	—	5	1	no	—
1208	C₄×Q₈	—	10	1	no	—
1209	C₄×Q₈	—	10	1	no	—
1210	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1211	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1212	C₄×D₄	—	2	1	no	—
1213	C₄×D₄	—	2	1	no	—
1214	C₄×D₄	—	5	1	no	—
1215	C₄×D₄	—	5	1	no	—
1216	C₄×D₄	—	5	1	no	—
1217	C₄×D₄	—	5	1	no	—
1218	C₄×D₄	—	5	1	no	—
1219	C₄×D₄	—	5	1	no	—
1220	C₄×D₄	—	5	1	no	—
1221	C₄×D₄	—	5	1	no	—
1222	C₄×D₄	—	5	1	no	—
1223	C₄×D₄	—	10	1	no	—
1224	C₄×D₄	—	10	1	no	—
1225	C₄×D₄	—	10	1	no	—
1226	C₄×D₄	—	10	1	no	—
1227	C₄×D₄	—	10	1	no	—
1228	C₄×D₄	—	10	1	no	—
1229	C₄×D₄	—	10	1	no	—
1230	C₄×D₄	—	10	1	no	—
1231	C₄×D₄	—	10	1	no	—
1232	C₄×D₄	—	10	1	no	—
1233	C₄×D₄	—	10	1	no	—
1234	C₄×D₄	—	10	1	no	—
1235	C₄×D₄	—	10	1	no	—
1236	C₄×D₄	—	10	1	no	—
1237	C₄×D₄	—	10	1	no	—
1238	C₄×D₄	—	10	1	no	—
1239	C₄×D₄	—	10	1	no	—
1240	C₄×D₄	—	10	1	no	—
1241	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1242	#117	—	5	1	no	—
1243	#117	—	10	1	no	—
1244	C₂×C₄⋊C₄	—	5	1	no	—
1245	C₂×C₄⋊C₄	—	5	1	no	—
1246	C₂×C₄⋊C₄	—	5	1	no	—
1247	C₂×C₄⋊C₄	—	5	1	no	—
1248	C₂×C₄⋊C₄	—	5	1	no	—
1249	C₂×C₄⋊C₄	—	5	1	no	—
1250	C₂×C₄⋊C₄	—	5	1	no	—
1251	C₂×C₄⋊C₄	—	5	1	no	—
1252	C₂×C₄⋊C₄	—	5	1	no	—
1253	C₂×C₄⋊C₄	—	5	1	no	—
1254	C₂×C₄⋊C₄	—	10	1	no	—
1255	C₂×C₄⋊C₄	—	10	1	no	—
1256	C₂×C₄⋊C₄	—	10	1	no	—
1257	C₂×C₄⋊C₄	—	10	1	no	—
1258	C₂×C₄⋊C₄	—	10	1	no	—
1259	C₂×C₄⋊C₄	—	10	1	no	—
1260	C₂×C₄⋊C₄	—	10	1	no	—
1261	C₂×C₄⋊C₄	—	10	1	no	—
1262	C₂×C₄⋊C₄	—	10	1	no	—
1263	C₂×C₄⋊C₄	—	10	1	no	—
1264	C₂×C₄⋊C₄	—	10	1	no	—
1265	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1266	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1267	C₂×C₂²⋊C₄	—	5	1	no	—
1268	C₂×C₂²⋊C₄	—	5	1	no	—
1269	C₂×C₂²⋊C₄	—	10	1	no	—
1270	C₂×C₂²⋊C₄	—	10	1	no	—
1271	C₂×C₂²⋊C₄	—	10	1	no	—
1272	C₂×C₂²⋊C₄	—	10	1	no	—
1273	C₂×C₄²	—	5	1	no	—
1274	C₂×C₄²	—	10	1	no	—
1275	C₂×C₄²	—	10	1	no	—
1276	#107	—	5	1	no	—
1277	#107	—	5	1	no	—
1278	#107	—	5	1	no	—
1279	#107	—	5	1	no	—
1280	#107	—	5	1	no	—
1281	#107	—	5	1	no	—
1282	#106	—	5	1	no	—
1283	#106	—	5	1	no	—
1284	#106	—	5	1	no	—
1285	#106	C₂²×D₅	1	1	yes	characteristic
1286	#106	C₂²×D₅	1	1	yes	characteristic
1287	#106	C₂²×D₅	1	1	yes	characteristic
1288	C₄⋊C₈	—	5	1	no	—
1289	C₄⋊C₈	—	5	1	no	—
1290	C₄⋊C₈	—	5	1	no	—
1291	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1292	#103	—	5	1	no	—
1293	#103	—	5	1	no	—
1294	#103	—	5	1	no	—
1295	#103	—	5	1	no	—
1296	#103	—	5	1	no	—
1297	#103	—	5	1	no	—
1298	#103	—	5	1	no	—
1299	#103	—	5	1	no	—
1300	#103	—	5	1	no	—
1301	#103	—	5	1	no	—
1302	#103	—	5	1	no	—
1303	#103	—	5	1	no	—
1304	#103	—	5	1	no	—
1305	#103	—	5	1	no	—
1306	#103	—	5	1	no	—
1307	#103	C₂²×D₅	1	1	yes	characteristic
1308	#103	C₂²×D₅	1	1	yes	characteristic
1309	#103	C₂²×D₅	1	1	yes	characteristic
1310	#103	C₂²×D₅	1	1	yes	characteristic
1311	#103	C₂²×D₅	1	1	yes	characteristic
1312	#103	C₂²×D₅	1	1	yes	characteristic
1313	#103	C₂²×D₅	1	1	yes	characteristic
1314	#102	—	5	1	no	—
1315	#102	—	5	1	no	—
1316	#102	—	5	1	no	—
1317	#102	—	5	1	no	—
1318	#102	—	5	1	no	—
1319	#102	—	5	1	no	—
1320	#102	—	5	1	no	—
1321	#102	—	5	1	no	—
1322	#102	—	5	1	no	—
1323	#102	—	5	1	no	—
1324	#102	—	5	1	no	—
1325	#102	—	5	1	no	—
1326	#102	—	5	1	no	—
1327	#102	—	5	1	no	—
1328	#102	—	5	1	no	—
1329	#102	C₂²×D₅	1	1	yes	characteristic
1330	#102	C₂²×D₅	1	1	yes	characteristic
1331	#102	C₂²×D₅	1	1	yes	characteristic
1332	C₂²⋊C₈	—	5	1	no	—
1333	C₂²⋊C₈	—	5	1	no	—
1334	C₂²⋊C₈	—	5	1	no	—
1335	C₂²⋊C₈	—	5	1	no	—
1336	C₂²⋊C₈	—	5	1	no	—
1337	C₂²⋊C₈	—	5	1	no	—
1338	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1339	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1340	#97	—	5	1	no	—
1341	#97	C₂²×D₅	1	1	yes	characteristic
1342	C₄×C₈	—	5	1	no	—
1343	C₄×C₈	—	5	1	no	—
1344	C₂²×C₅	—	2	1	no	—
1345	C₂²×C₅	—	2	1	no	—
1346	C₂²×C₅	—	2	1	no	—
1347	C₂²×C₅	—	2	1	no	—
1348	C₂²×C₅	—	2	1	no	—
1349	C₂²×C₅	—	4	1	no	—
1350	C₂²×C₅	—	4	1	no	—
1351	C₂²×C₅	—	4	1	no	—
1352	C₂²×C₅	C₂×#137	1	2	yes	—
1353	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1354	C₂×D₅	—	2	1	no	—
1355	C₂×D₅	—	2	1	no	—
1356	C₂×D₅	—	2	1	no	—
1357	C₂×D₅	—	2	1	no	—
1358	C₂×D₅	—	2	1	no	—
1359	C₂×D₅	—	2	1	no	—
1360	C₂×D₅	—	2	2	no	—
1361	C₂×D₅	—	2	1	no	—
1362	C₂×D₅	—	4	4	no	—
1363	C₂×D₅	—	4	4	no	—
1364	C₂×D₅	—	4	1	no	—
1365	C₂×D₅	—	4	1	no	—
1366	C₂×D₅	—	4	1	no	—
1367	C₂×D₅	—	4	1	no	—
1368	C₂×D₅	—	4	1	no	—
1369	C₂×D₅	—	8	4	no	—
1370	C₂×D₅	—	8	4	no	—
1371	C₂×D₅	#546	1	2	yes	—
1372	C₂×D₅	C₂×#137	1	2	yes	—
1373	C₄×C₅	—	2	1	no	—
1374	C₄×C₅	—	2	2	no	—
1375	C₄×C₅	—	2	1	no	—
1376	C₄×C₅	—	2	1	no	—
1377	C₄×C₅	—	2	1	no	—
1378	C₄×C₅	—	4	1	no	—
1379	C₄×C₅	—	4	1	no	—
1380	C₄×C₅	—	4	1	no	—
1381	C₄×C₅	—	4	1	no	—
1382	C₄×C₅	—	4	1	no	—
1383	C₄×C₅	—	4	1	no	—
1384	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1385	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1386	Dic₅	—	2	1	no	—
1387	Dic₅	—	2	1	no	—
1388	Dic₅	—	2	1	no	—
1389	Dic₅	—	4	1	no	—
1390	Dic₅	—	4	1	no	—
1391	Dic₅	—	4	1	no	—
1392	Dic₅	—	4	1	no	—
1393	Dic₅	—	4	1	no	—
1394	Dic₅	—	4	1	no	—
1395	Dic₅	#546	1	2	yes	—
1396	Dic₅	C₂×#137	1	2	yes	—
1397	C₂⁴	—	5	1	no	—
1398	C₂⁴	—	5	1	no	—
1399	C₂⁴	—	10	1	no	—
1400	C₂⁴	—	10	1	no	—
1401	#41	—	2	2	no	—
1402	#41	—	4	1	no	—
1403	#41	—	5	4	no	—
1404	#41	—	10	2	no	—
1405	#41	—	10	2	no	—
1406	#41	—	10	2	no	—
1407	#41	—	10	2	no	—
1408	#41	—	10	2	no	—
1409	#41	—	10	2	no	—
1410	#41	—	10	2	no	—
1411	#41	—	10	2	no	—
1412	#41	—	20	1	no	—
1413	#41	—	20	4	no	—
1414	#41	—	20	4	no	—
1415	#41	—	20	4	no	—
1416	#41	—	20	1	no	—
1417	#41	—	20	1	no	—
1418	#41	—	20	4	no	—
1419	C₂×Q₈	—	2	1	no	—
1420	C₂×Q₈	—	2	1	no	—
1421	C₂×Q₈	—	2	2	no	—
1422	C₂×Q₈	—	4	1	no	—
1423	C₂×Q₈	—	5	1	no	—
1424	C₂×Q₈	—	5	1	no	—
1425	C₂×Q₈	—	10	1	no	—
1426	C₂×Q₈	—	10	1	no	—
1427	C₂×Q₈	—	10	1	no	—
1428	C₂×Q₈	—	10	1	no	—
1429	C₂×Q₈	—	10	2	no	—
1430	C₂×Q₈	—	10	2	no	—
1431	C₂×Q₈	—	10	1	no	—
1432	C₂×Q₈	—	10	2	no	—
1433	C₂×Q₈	—	20	1	no	—
1434	C₂×Q₈	—	40	2	no	—
1435	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1436	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1437	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1438	C₂×D₄	—	2	1	no	—
1439	C₂×D₄	—	2	1	no	—
1440	C₂×D₄	—	5	1	no	—
1441	C₂×D₄	—	5	1	no	—
1442	C₂×D₄	—	5	1	no	—
1443	C₂×D₄	—	5	1	no	—
1444	C₂×D₄	—	5	1	no	—
1445	C₂×D₄	—	10	2	no	—
1446	C₂×D₄	—	10	1	no	—
1447	C₂×D₄	—	10	1	no	—
1448	C₂×D₄	—	10	1	no	—
1449	C₂×D₄	—	10	1	no	—
1450	C₂×D₄	—	10	1	no	—
1451	C₂×D₄	—	10	1	no	—
1452	C₂×D₄	—	10	1	no	—
1453	C₂×D₄	—	10	1	no	—
1454	C₂×D₄	—	10	4	no	—
1455	C₂×D₄	—	10	2	no	—
1456	C₂×D₄	—	10	1	no	—
1457	C₂×D₄	—	10	1	no	—
1458	C₂×D₄	—	10	1	no	—
1459	C₂×D₄	—	10	1	no	—
1460	C₂×D₄	—	10	1	no	—
1461	C₂×D₄	—	20	1	no	—
1462	C₂×D₄	—	20	4	no	—
1463	C₂×D₄	—	20	1	no	—
1464	C₂×D₄	—	20	4	no	—
1465	C₂×D₄	—	20	4	no	—
1466	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1467	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1468	C₂²×C₄	—	2	1	no	—
1469	C₂²×C₄	—	2	1	no	—
1470	C₂²×C₄	—	2	1	no	—
1471	C₂²×C₄	—	2	1	no	—
1472	C₂²×C₄	—	5	1	no	—
1473	C₂²×C₄	—	5	1	no	—
1474	C₂²×C₄	—	5	1	no	—
1475	C₂²×C₄	—	5	1	no	—
1476	C₂²×C₄	—	5	1	no	—
1477	C₂²×C₄	—	5	1	no	—
1478	C₂²×C₄	—	5	1	no	—
1479	C₂²×C₄	—	5	1	no	—
1480	C₂²×C₄	—	5	1	no	—
1481	C₂²×C₄	—	5	1	no	—
1482	C₂²×C₄	—	5	1	no	—
1483	C₂²×C₄	—	10	1	no	—
1484	C₂²×C₄	—	10	2	no	—
1485	C₂²×C₄	—	10	2	no	—
1486	C₂²×C₄	—	10	2	no	—
1487	C₂²×C₄	—	10	2	no	—
1488	C₂²×C₄	—	10	1	no	—
1489	C₂²×C₄	—	10	1	no	—
1490	C₂²×C₄	—	10	1	no	—
1491	C₂²×C₄	—	10	1	no	—
1492	C₂²×C₄	—	10	1	no	—
1493	C₂²×C₄	—	10	1	no	—
1494	C₂²×C₄	—	10	1	no	—
1495	C₂²×C₄	—	10	1	no	—
1496	C₂²×C₄	—	10	1	no	—
1497	C₂²×C₄	—	10	1	no	—
1498	C₂²×C₄	—	10	1	no	—
1499	C₂²×C₄	—	10	1	no	—
1500	C₂²×C₄	—	10	1	no	—
1501	C₂²×C₄	—	10	1	no	—
1502	C₂²×C₄	—	10	1	no	—
1503	C₂²×C₄	—	10	1	no	—
1504	C₂²×C₄	—	10	1	no	—
1505	C₂²×C₄	—	10	1	no	—
1506	C₂²×C₄	—	20	4	no	—
1507	C₂²×C₄	—	20	4	no	—
1508	C₂²×C₄	—	40	2	no	—
1509	C₂²×C₄	—	40	2	no	—
1510	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1511	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1512	Q₁₆	—	2	2	no	—
1513	Q₁₆	—	4	1	no	—
1514	Q₁₆	—	10	2	no	—
1515	Q₁₆	—	20	1	no	—
1516	Q₁₆	—	20	1	no	—
1517	Q₁₆	—	20	1	no	—
1518	SD₁₆	—	4	1	no	—
1519	SD₁₆	—	10	2	no	—
1520	SD₁₆	—	10	2	no	—
1521	SD₁₆	—	20	1	no	—
1522	SD₁₆	—	20	1	no	—
1523	SD₁₆	—	20	1	no	—
1524	M₁₆	—	4	1	no	—
1525	M₁₆	—	10	2	no	—
1526	M₁₆	—	10	2	no	—
1527	M₁₆	—	10	2	no	—
1528	M₁₆	—	10	2	no	—
1529	M₁₆	—	20	1	no	—
1530	M₁₆	—	20	1	no	—
1531	M₁₆	—	20	1	no	—
1532	C₂×C₈	—	4	1	no	—
1533	C₂×C₈	—	5	1	no	—
1534	C₂×C₈	—	5	1	no	—
1535	C₂×C₈	—	5	1	no	—
1536	C₂×C₈	—	5	1	no	—
1537	C₂×C₈	—	20	1	no	—
1538	C₂×C₈	—	20	1	no	—
1539	C₂×C₈	—	20	1	no	—
1540	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1541	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1542	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1543	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1544	C₄⋊C₄	—	2	1	no	—
1545	C₄⋊C₄	—	2	1	no	—
1546	C₄⋊C₄	—	2	1	no	—
1547	C₄⋊C₄	—	2	1	no	—
1548	C₄⋊C₄	—	2	1	no	—
1549	C₄⋊C₄	—	2	1	no	—
1550	C₄⋊C₄	—	2	1	no	—
1551	C₄⋊C₄	—	2	1	no	—
1552	C₄⋊C₄	—	5	1	no	—
1553	C₄⋊C₄	—	5	1	no	—
1554	C₄⋊C₄	—	5	1	no	—
1555	C₄⋊C₄	—	5	1	no	—
1556	C₄⋊C₄	—	5	1	no	—
1557	C₄⋊C₄	—	5	1	no	—
1558	C₄⋊C₄	—	5	1	no	—
1559	C₄⋊C₄	—	10	1	no	—
1560	C₄⋊C₄	—	10	1	no	—
1561	C₄⋊C₄	—	10	1	no	—
1562	C₄⋊C₄	—	10	1	no	—
1563	C₄⋊C₄	—	10	1	no	—
1564	C₄⋊C₄	—	10	1	no	—
1565	C₄⋊C₄	—	10	1	no	—
1566	C₄⋊C₄	—	10	1	no	—
1567	C₄⋊C₄	—	10	1	no	—
1568	C₄⋊C₄	—	10	1	no	—
1569	C₄⋊C₄	—	10	1	no	—
1570	C₄⋊C₄	—	10	1	no	—
1571	C₄⋊C₄	—	10	1	no	—
1572	C₄⋊C₄	—	10	1	no	—
1573	C₄⋊C₄	—	10	1	no	—
1574	C₄⋊C₄	—	10	1	no	—
1575	C₄⋊C₄	—	10	1	no	—
1576	C₄⋊C₄	—	10	1	no	—
1577	C₄⋊C₄	—	10	1	no	—
1578	C₄⋊C₄	—	10	1	no	—
1579	C₄⋊C₄	—	10	1	no	—
1580	C₄⋊C₄	—	10	1	no	—
1581	C₄⋊C₄	—	10	1	no	—
1582	C₄⋊C₄	—	10	1	no	—
1583	C₄⋊C₄	—	10	1	no	—
1584	C₄⋊C₄	—	10	1	no	—
1585	C₄⋊C₄	—	10	1	no	—
1586	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1587	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1588	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1589	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1590	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1591	C₂²⋊C₄	—	2	1	no	—
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	—	5	1	no	—
1598	C₂²⋊C₄	—	5	1	no	—
1599	C₂²⋊C₄	—	5	1	no	—
1600	C₂²⋊C₄	—	5	1	no	—
1601	C₂²⋊C₄	—	5	1	no	—
1602	C₂²⋊C₄	—	5	1	no	—
1603	C₂²⋊C₄	—	10	1	no	—
1604	C₂²⋊C₄	—	10	1	no	—
1605	C₂²⋊C₄	—	10	1	no	—
1606	C₂²⋊C₄	—	10	1	no	—
1607	C₂²⋊C₄	—	10	1	no	—
1608	C₂²⋊C₄	—	10	1	no	—
1609	C₂²⋊C₄	—	10	1	no	—
1610	C₂²⋊C₄	—	10	1	no	—
1611	C₂²⋊C₄	—	10	1	no	—
1612	C₂²⋊C₄	—	10	1	no	—
1613	C₂²⋊C₄	—	10	1	no	—
1614	C₂²⋊C₄	—	10	1	no	—
1615	C₂²⋊C₄	—	10	1	no	—
1616	C₂²⋊C₄	—	10	1	no	—
1617	C₂²⋊C₄	—	10	1	no	—
1618	C₂²⋊C₄	—	10	1	no	—
1619	C₂²⋊C₄	—	10	1	no	—
1620	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1621	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1622	C₄²	—	2	1	no	—
1623	C₄²	—	2	1	no	—
1624	C₄²	—	5	1	no	—
1625	C₄²	—	5	1	no	—
1626	C₄²	—	5	1	no	—
1627	C₄²	—	10	1	no	—
1628	C₄²	—	10	1	no	—
1629	C₄²	—	10	1	no	—
1630	C₄²	—	10	1	no	—
1631	C₄²	—	10	1	no	—
1632	C₄²	C₂³×D₅	1	1	yes	characteristic
1633	C₂×C₅	—	2	2	no	—
1634	C₂×C₅	—	4	1	no	—
1635	C₂×C₅	—	8	1	no	—
1636	C₂×C₅	C₂×#546	1	1	yes	characteristic
1637	C₂×C₅	C₂²×#137	1	1	yes	characteristic
1638	C₂×C₅	#3585	1	1	yes	characteristic
1639	D₅	—	2	2	no	—
1640	D₅	—	2	2	no	—
1641	D₅	—	4	1	no	—
1642	D₅	—	4	2	no	—
1643	D₅	—	8	1	no	—
1644	C₂³	—	2	1	no	—
1645	C₂³	—	5	1	no	—
1646	C₂³	—	5	1	no	—
1647	C₂³	—	5	1	no	—
1648	C₂³	—	10	2	no	—
1649	C₂³	—	10	2	no	—
1650	C₂³	—	10	2	no	—
1651	C₂³	—	10	2	no	—
1652	C₂³	—	10	1	no	—
1653	C₂³	—	10	1	no	—
1654	C₂³	—	20	1	no	—
1655	C₂³	—	20	1	no	—
1656	C₂³	—	20	2	no	—
1657	C₂³	—	20	2	no	—
1658	C₂³	—	20	2	no	—
1659	C₂³	—	20	2	no	—
1660	C₂³	—	40	1	no	—
1661	C₂³	—	40	1	no	—
1662	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1663	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1664	Q₈	—	2	1	no	—
1665	Q₈	—	2	1	no	—
1666	Q₈	—	2	1	no	—
1667	Q₈	—	2	1	no	—
1668	Q₈	—	2	1	no	—
1669	Q₈	—	4	2	no	—
1670	Q₈	—	8	1	no	—
1671	Q₈	—	10	1	no	—
1672	Q₈	—	10	1	no	—
1673	Q₈	—	10	1	no	—
1674	Q₈	—	10	1	no	—
1675	Q₈	—	20	2	no	—
1676	Q₈	—	20	2	no	—
1677	Q₈	—	40	1	no	—
1678	Q₈	—	40	1	no	—
1679	Q₈	—	40	1	no	—
1680	Q₈	D₅×#41	1	2	yes	—
1681	D₄	—	2	2	no	—
1682	D₄	—	2	1	no	—
1683	D₄	—	2	1	no	—
1684	D₄	—	4	2	no	—
1685	D₄	—	4	2	no	—
1686	D₄	—	5	4	no	—
1687	D₄	—	5	2	no	—
1688	D₄	—	10	2	no	—
1689	D₄	—	10	4	no	—
1690	D₄	—	10	2	no	—
1691	D₄	—	10	1	no	—
1692	D₄	—	10	1	no	—
1693	D₄	—	10	1	no	—
1694	D₄	—	20	2	no	—
1695	D₄	—	20	2	no	—
1696	D₄	—	20	2	no	—
1697	D₄	—	20	2	no	—
1698	D₄	—	20	2	no	—
1699	D₄	—	20	2	no	—
1700	D₄	—	20	2	no	—
1701	D₄	—	20	2	no	—
1702	D₄	—	20	2	no	—
1703	D₄	—	40	1	no	—
1704	D₄	—	40	1	no	—
1705	D₄	—	40	1	no	—
1706	C₂×C₄	—	2	1	no	—
1707	C₂×C₄	—	2	1	no	—
1708	C₂×C₄	—	2	1	no	—
1709	C₂×C₄	—	2	1	no	—
1710	C₂×C₄	—	2	1	no	—
1711	C₂×C₄	—	2	1	no	—
1712	C₂×C₄	—	2	1	no	—
1713	C₂×C₄	—	2	1	no	—
1714	C₂×C₄	—	2	1	no	—
1715	C₂×C₄	—	2	1	no	—
1716	C₂×C₄	—	2	1	no	—
1717	C₂×C₄	—	4	2	no	—
1718	C₂×C₄	—	4	2	no	—
1719	C₂×C₄	—	5	1	no	—
1720	C₂×C₄	—	5	1	no	—
1721	C₂×C₄	—	5	2	no	—
1722	C₂×C₄	—	5	2	no	—
1723	C₂×C₄	—	5	1	no	—
1724	C₂×C₄	—	5	1	no	—
1725	C₂×C₄	—	5	1	no	—
1726	C₂×C₄	—	8	1	no	—
1727	C₂×C₄	—	8	1	no	—
1728	C₂×C₄	—	10	2	no	—
1729	C₂×C₄	—	10	2	no	—
1730	C₂×C₄	—	10	2	no	—
1731	C₂×C₄	—	10	4	no	—
1732	C₂×C₄	—	10	2	no	—
1733	C₂×C₄	—	10	2	no	—
1734	C₂×C₄	—	10	2	no	—
1735	C₂×C₄	—	10	2	no	—
1736	C₂×C₄	—	10	1	no	—
1737	C₂×C₄	—	10	1	no	—
1738	C₂×C₄	—	10	1	no	—
1739	C₂×C₄	—	10	1	no	—
1740	C₂×C₄	—	10	1	no	—
1741	C₂×C₄	—	10	1	no	—
1742	C₂×C₄	—	10	1	no	—
1743	C₂×C₄	—	10	1	no	—
1744	C₂×C₄	—	10	1	no	—
1745	C₂×C₄	—	10	1	no	—
1746	C₂×C₄	—	20	1	no	—
1747	C₂×C₄	—	20	2	no	—
1748	C₂×C₄	—	20	2	no	—
1749	C₂×C₄	—	20	2	no	—
1750	C₂×C₄	—	20	2	no	—
1751	C₂×C₄	—	20	2	no	—
1752	C₂×C₄	—	20	2	no	—
1753	C₂×C₄	—	20	2	no	—
1754	C₂×C₄	—	20	2	no	—
1755	C₂×C₄	—	20	2	no	—
1756	C₂×C₄	—	20	2	no	—
1757	C₂×C₄	—	20	2	no	—
1758	C₂×C₄	—	40	1	no	—
1759	C₂×C₄	—	40	1	no	—
1760	C₂×C₄	—	40	1	no	—
1761	C₂×C₄	—	40	1	no	—
1762	C₂×C₄	—	40	1	no	—
1763	C₂×C₄	—	40	1	no	—
1764	C₂×C₄	—	40	1	no	—
1765	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1766	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1767	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1768	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1769	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1770	C₈	—	2	1	no	—
1771	C₈	—	2	1	no	—
1772	C₈	—	2	1	no	—
1773	C₈	—	2	1	no	—
1774	C₈	—	10	1	no	—
1775	C₈	—	10	1	no	—
1776	C₈	—	10	1	no	—
1777	C₈	—	10	1	no	—
1778	C₅	#61162	1	1	yes	characteristic, complemented, Sylow
1779	C₂²	—	2	1	no	—
1780	C₂²	—	2	1	no	—
1781	C₂²	—	2	1	no	—
1782	C₂²	—	2	1	no	—
1783	C₂²	—	2	1	no	—
1784	C₂²	—	4	1	no	—
1785	C₂²	—	4	1	no	—
1786	C₂²	—	4	1	no	—
1787	C₂²	—	5	2	no	—
1788	C₂²	—	5	2	no	—
1789	C₂²	—	10	1	no	—
1790	C₂²	—	10	1	no	—
1791	C₂²	—	10	1	no	—
1792	C₂²	—	10	1	no	—
1793	C₂²	—	10	1	no	—
1794	C₂²	—	10	2	no	—
1795	C₂²	—	10	1	no	—
1796	C₂²	—	10	1	no	—
1797	C₂²	—	20	4	no	—
1798	C₂²	—	20	4	no	—
1799	C₂²	—	20	1	no	—
1800	C₂²	—	20	1	no	—
1801	C₂²	—	20	1	no	—
1802	C₂²	—	20	1	no	—
1803	C₂²	—	20	1	no	—
1804	C₂²	—	40	4	no	—
1805	C₂²	—	40	4	no	—
1806	C₂²	D₅×#137	1	2	yes	—
1807	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1808	C₄	—	2	1	no	—
1809	C₄	—	2	1	no	—
1810	C₄	—	2	2	no	—
1811	C₄	—	2	1	no	—
1812	C₄	—	2	1	no	—
1813	C₄	—	4	1	no	—
1814	C₄	—	4	1	no	—
1815	C₄	—	4	1	no	—
1816	C₄	—	4	1	no	—
1817	C₄	—	4	1	no	—
1818	C₄	—	4	1	no	—
1819	C₄	—	5	2	no	—
1820	C₄	—	5	2	no	—
1821	C₄	—	10	1	no	—
1822	C₄	—	10	1	no	—
1823	C₄	—	10	1	no	—
1824	C₄	—	20	1	no	—
1825	C₄	—	20	1	no	—
1826	C₄	—	20	1	no	—
1827	C₄	—	20	1	no	—
1828	C₄	—	20	1	no	—
1829	C₄	—	20	1	no	—
1830	C₄	C₂×D₅×#41	1	1	yes	characteristic
1831	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1832	C₂	—	2	2	no	—
1833	C₂	—	4	1	no	—
1834	C₂	—	8	1	no	—
1835	C₂	—	10	2	no	—
1836	C₂	—	10	2	no	—
1837	C₂	—	20	1	no	—
1838	C₂	—	20	2	no	—
1839	C₂	—	40	1	no	—
1840	C₂	D₅×#546	1	1	yes	characteristic
1841	C₂	C₂×D₅×#137	1	1	yes	characteristic
1842	C₂	#10619108	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×#3316	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10618611	C₂
hypercenter	#3316	D₅
hypocenter	C₅	#61162
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3316

Complements

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

N	H ≅ G/N	type
1. D₅×#554	C₂	semidirect
3. C₅×#3316	C₂	semidirect
4. #10615366	C₂	semidirect
5. #10615269	C₂	semidirect
6. #10613431	C₂	semidirect
7. #10613414	C₂	semidirect
8. #10613178	C₂	semidirect
9. #10613158	C₂	semidirect
10. #10613073	C₂	semidirect
11. #10613056	C₂	semidirect
12. #10612755	C₂	semidirect
13. #10612743	C₂	semidirect
14. #10612656	C₂	semidirect
15. #10612635	C₂	semidirect
16. #10612411	C₂	semidirect
17. #10612389	C₂	semidirect
18. #10612350	C₂	semidirect
19. #10612329	C₂	semidirect
20. #10611992	C₂	semidirect
21. #10611959	C₂	semidirect
22. #10611924	C₂	semidirect
23. #10611915	C₂	semidirect
24. #10611574	C₂	semidirect
25. #10611560	C₂	semidirect
26. #10611234	C₂	semidirect
27. #10611214	C₂	semidirect
28. #10610640	C₂	semidirect
29. D₅×#417	C₂	semidirect
30. #10610537	C₂	semidirect
31. C₂×#65092	C₂	semidirect
34. C₅×#554	C₂²	semidirect
39. C₂×#4064	C₂²	semidirect
40. C₂×#4061	C₂²	semidirect
41. C₂×D₅×M₁₆	C₂²	semidirect
42. C₂²×#676	C₂²	semidirect
43. #66064	C₂²	semidirect
44. D₅×C₄⋊Q₈	C₂²	semidirect
54. #65969	C₂²	semidirect
61. D₅×C₂²⋊Q₈	C₂²	semidirect
62. D₅×C₂²⋊Q₈	C₂²	semidirect
67. #65913	C₂²	semidirect
70. C₄×Q₈×D₅	C₂²	semidirect
76. #65877	C₂²	semidirect
79. #65845	C₂²	semidirect
80. C₂×D₅×C₄⋊C₄	C₂²	semidirect
81. C₂×D₅×C₄⋊C₄	C₂²	semidirect
82. C₅×#489	C₂²	semidirect
83. C₅×#483	C₂²	semidirect
84. C₅×#481	C₂²	semidirect
85. C₅×#475	C₂²	semidirect
86. C₅×#470	C₂²	semidirect
87. C₅×#465	C₂²	semidirect
88. C₅×#464	C₂²	semidirect
89. C₅×#452	C₂²	semidirect
90. C₅×#451	C₂²	semidirect
91. C₅×#441	C₂²	semidirect
92. C₅×#435	C₂²	semidirect
93. C₅×#417	C₂²	semidirect
94. C₂×C₅×#103	C₂²	semidirect
95. #65528	C₂²	semidirect
96. #65521	C₂²	semidirect
97. #65517	C₂²	semidirect
98. C₂×#3967	C₂²	semidirect
99. #65477	C₂²	semidirect
100. #65476	C₂²	semidirect
101. #65476	C₂²	semidirect
102. #65475	C₂²	semidirect
103. Q₁₆×Dic₅	C₂²	semidirect
104. #65471	C₂²	semidirect
105. #65463	C₂²	semidirect
106. #65458	C₂²	semidirect
107. #65452	C₂²	semidirect
108. #65423	C₂²	semidirect
109. #65422	C₂²	semidirect
110. #65417	C₂²	semidirect
111. #65405	C₂²	semidirect
112. C₂×#3953	C₂²	semidirect
114. #65378	C₂²	semidirect
115. #65376	C₂²	semidirect
116. #65344	C₂²	semidirect
117. #65343	C₂²	semidirect
118. #65341	C₂²	semidirect
119. #65340	C₂²	semidirect
120. #65338	C₂²	semidirect
121. #65336	C₂²	semidirect
122. #65335	C₂²	semidirect
123. #65332	C₂²	semidirect
124. #65330	C₂²	semidirect
125. #65323	C₂²	semidirect
126. #65319	C₂²	semidirect
127. #65317	C₂²	semidirect
128. #65315	C₂²	semidirect
129. #65309	C₂²	semidirect
130. #65300	C₂²	semidirect
131. #65259	C₂²	semidirect
132. #65256	C₂²	semidirect
133. #65255	C₂²	semidirect
134. C₂×#3941	C₂²	semidirect
135. #65159	C₂²	semidirect
136. #65159	C₂²	semidirect
137. #65157	C₂²	semidirect
138. #65153	C₂²	semidirect
139. #65152	C₂²	semidirect
140. #65152	C₂²	semidirect
141. #65151	C₂²	semidirect
142. #65151	C₂²	semidirect
143. #65150	C₂²	semidirect
144. #65150	C₂²	semidirect
145. #65150	C₂²	semidirect
146. #65141	C₂²	semidirect
147. #65135	C₂²	semidirect
148. #65134	C₂²	semidirect
149. #65126	C₂²	semidirect
150. #65125	C₂²	semidirect
151. #65105	C₂²	semidirect
152. #65102	C₂²	semidirect
153. #65099	C₂²	semidirect
154. #65099	C₂²	semidirect
155. #65098	C₂²	semidirect
156. #65098	C₂²	semidirect
157. #65097	C₂²	semidirect
158. #65096	C₂²	semidirect
162. #65092	C₂²	semidirect
163. #65092	C₂²	semidirect
164. #65092	C₂²	semidirect
165. #65092	C₂²	semidirect
166. #65092	C₂²	semidirect
167. #65092	C₂²	semidirect
168. #65092	C₂²	semidirect
169. #65091	C₂²	semidirect
170. D₅×#103	C₂²	semidirect
171. D₅×#103	C₂²	semidirect
172. #65083	C₂²	semidirect
173. #65083	C₂²	semidirect
174. #65082	C₂²	semidirect
175. #65081	C₂²	semidirect
176. #65081	C₂²	semidirect
177. #65079	C₂²	semidirect
178. #65077	C₂²	semidirect
179. #65069	C₂²	semidirect
180. #65065	C₂²	semidirect
181. #65063	C₂²	semidirect
182. #65063	C₂²	semidirect
183. #65060	C₂²	semidirect
184. #65060	C₂²	semidirect
185. #65060	C₂²	semidirect
186. D₅×#102	C₂²	semidirect
187. D₅×#102	C₂²	semidirect
188. #65051	C₂²	semidirect
189. #65049	C₂²	semidirect
190. #65049	C₂²	semidirect
191. #65025	C₂²	semidirect
192. #65022	C₂²	semidirect
193. #65020	C₂²	semidirect
194. #65018	C₂²	semidirect
195. #65015	C₂²	semidirect
196. #65015	C₂²	semidirect
198. #65011	C₂²	semidirect
199. #65003	C₂²	semidirect
200. #64999	C₂²	semidirect
201. #64996	C₂²	semidirect
202. #64995	C₂²	semidirect
497. #3316	D₅	semidirect
773. #554	C₂×D₅	semidirect
808. #489	C₂×D₅	semidirect
820. #483	C₂×D₅	semidirect
824. #481	C₂×D₅	semidirect
834. #475	C₂×D₅	semidirect
840. #470	C₂×D₅	semidirect
852. #465	C₂×D₅	semidirect
856. #464	C₂×D₅	semidirect
868. #452	C₂×D₅	semidirect
872. #451	C₂×D₅	semidirect
878. #441	C₂×D₅	semidirect
890. #435	C₂×D₅	semidirect
914. #417	C₂×D₅	semidirect
918. C₂×#103	C₂×D₅	semidirect
987. C₂²⋊D₅	#137	semidirect
1778. C₅	#61162	semidirect

Maximal subgroups

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

subgroup	index
D₅×#554	2
#10618611	2
C₅×#3316	2
#10615366	2
#10615269	2
#10613431	2
#10613414	2
#10613178	2
#10613158	2
#10613073	2
#10613056	2
#10612755	2
#10612743	2
#10612656	2
#10612635	2
#10612411	2
#10612389	2
#10612350	2
#10612329	2
#10611992	2
#10611959	2
#10611924	2
#10611915	2
#10611574	2
#10611560	2
#10611234	2
#10611214	2
#10610640	2
D₅×#417	2
#10610537	2
C₂×#65092	2
#61162	5