Subgroups — #12985390

Order 1280.

2222 conjugacy classes of subgroups.

The subgroup lattice has 1926 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618663	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618563	C₂	1	1	yes	maximal, characteristic
3	C₅×#3266	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615718	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615713	C₂	1	1	yes	maximal, characteristic, complemented
6	SD₁₆×C₂²⋊D₅	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#65458	C₂	1	1	yes	maximal, characteristic, complemented
8	D₄×#688	C₂	1	1	yes	maximal, characteristic, complemented
9	#10615225	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613612	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613609	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612552	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612547	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612506	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612495	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612346	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612339	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612179	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612144	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611977	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611960	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611935	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611919	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611891	C₂	1	1	yes	maximal, characteristic, complemented
25	D₅×#450	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611794	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611778	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611531	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611518	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611232	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611220	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4149	C₂²	1	1	yes	characteristic
33	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
34	C₂×C₅×#137	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
36	C₅×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
37	C₅×#546	C₂²	1	1	yes	characteristic
38	#66163	C₂²	1	1	yes	characteristic
39	#66150	C₂²	1	1	yes	characteristic, complemented
40	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
41	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
42	C₂×#4092	C₂²	1	1	yes	characteristic, complemented
43	C₂²×#688	C₂²	1	1	yes	characteristic, complemented
44	C₂²×#688	C₂²	1	1	yes	characteristic, complemented
45	D₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
46	C₂×#4064	C₂²	1	1	yes	characteristic, complemented
47	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
48	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
49	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
50	#66069	—	2	1	no	—
51	#66065	C₂²	1	1	yes	characteristic, complemented
52	#66063	—	2	1	no	—
53	#66061	C₂²	1	1	yes	characteristic, complemented
54	#66010	C₂²	1	1	yes	characteristic
55	#66008	C₂²	1	1	yes	characteristic
56	#65988	—	2	1	no	—
57	#65987	—	2	1	no	—
58	#65980	—	2	1	no	—
59	#65976	C₂²	1	1	yes	characteristic, complemented
60	#65973	C₂²	1	1	yes	characteristic, complemented
61	#65972	—	2	1	no	—
62	#65971	—	2	1	no	—
63	#65964	C₂²	1	1	yes	characteristic
64	#65962	C₂²	1	1	yes	characteristic, complemented
65	#65961	C₂²	1	1	yes	characteristic
66	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
67	#65957	—	2	1	no	—
68	#65943	—	2	1	no	—
69	#65943	C₂²	1	1	yes	characteristic
70	#65941	C₂²	1	1	yes	characteristic
71	#65939	—	2	1	no	—
72	#65924	—	2	1	no	—
73	D₅×#120	—	2	1	no	—
74	#65917	C₂²	1	1	yes	characteristic, complemented
75	#65915	C₂²	1	1	yes	characteristic, complemented
76	#65898	—	2	1	no	—
77	#65890	—	2	1	no	—
78	D₄×D₂₀	C₂²	1	1	yes	characteristic
79	D₄×D₂₀	C₂²	1	1	yes	characteristic
80	#65881	C₂²	1	1	yes	characteristic
81	#65879	C₂²	1	1	yes	characteristic
82	#65875	C₂²	1	1	yes	characteristic, complemented
83	#65824	—	2	1	no	—
84	C₂×#4028	—	2	1	no	—
85	C₅×#497	C₂²	1	1	yes	characteristic, complemented
86	C₅×#468	C₂²	1	1	yes	characteristic, complemented
87	C₅×#467	C₂²	1	1	yes	characteristic, complemented
88	C₅×#464	C₂²	1	1	yes	characteristic, complemented
89	C₅×#461	C₂²	1	1	yes	characteristic, complemented
90	C₅×#452	C₂²	1	1	yes	characteristic, complemented
91	C₅×#451	C₂²	1	1	yes	characteristic, complemented
92	C₅×#450	C₂²	1	1	yes	characteristic, complemented
93	C₅×#448	C₂²	1	1	yes	characteristic, complemented
94	C₅×#440	C₂²	1	1	yes	characteristic, complemented
95	C₅×#435	C₂²	1	1	yes	characteristic, complemented
96	#65528	C₂²	1	1	yes	characteristic, complemented
97	#65522	C₂²	1	1	yes	characteristic, complemented
98	#65516	C₂²	1	1	yes	characteristic, complemented
99	#65516	C₂²	1	1	yes	characteristic, complemented
100	#65507	C₂²	1	1	yes	characteristic, complemented
101	C₂×#3964	C₂²	1	1	yes	characteristic, complemented
102	#65479	C₂²	1	1	yes	characteristic, complemented
103	#65477	C₂²	1	1	yes	characteristic, complemented
104	#65477	C₂²	1	1	yes	characteristic, complemented
105	#65476	C₂²	1	1	yes	characteristic, complemented
106	#65476	C₂²	1	1	yes	characteristic, complemented
107	#65476	C₂²	1	1	yes	characteristic, complemented
108	#65476	C₂²	1	1	yes	characteristic, complemented
109	#65476	C₂²	1	1	yes	characteristic, complemented
110	#65475	C₂²	1	1	yes	characteristic, complemented
111	#65474	C₂²	1	1	yes	characteristic, complemented
112	#65474	C₂²	1	1	yes	characteristic, complemented
113	#65464	C₂²	1	1	yes	characteristic, complemented
114	#65463	C₂²	1	1	yes	characteristic, complemented
115	#65460	C₂²	1	1	yes	characteristic, complemented
116	#65459	C₂²	1	1	yes	characteristic, complemented
117	#65458	C₂²	1	1	yes	characteristic
118	#65458	C₂²	1	1	yes	characteristic
119	#65458	C₂²	1	1	yes	characteristic
120	#65458	C₂²	1	1	yes	characteristic, complemented
121	#65458	C₂²	1	1	yes	characteristic, complemented
122	#65458	C₂²	1	1	yes	characteristic, complemented
123	#65458	C₂²	1	1	yes	characteristic, complemented
124	#65458	C₂²	1	1	yes	characteristic, complemented
125	#65458	C₂²	1	1	yes	characteristic, complemented
126	#65458	C₂²	1	1	yes	characteristic, complemented
127	#65458	C₂²	1	1	yes	characteristic, complemented
128	#65458	C₂²	1	1	yes	characteristic, complemented
129	#65453	C₂²	1	1	yes	characteristic, complemented
130	#65452	C₂²	1	1	yes	characteristic, complemented
131	#65452	C₂²	1	1	yes	characteristic, complemented
132	#65451	C₂²	1	1	yes	characteristic, complemented
133	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
134	#65423	C₂²	1	1	yes	characteristic, complemented
135	#65420	C₂²	1	1	yes	characteristic, complemented
136	#65418	C₂²	1	1	yes	characteristic, complemented
137	#65416	C₂²	1	1	yes	characteristic, complemented
138	#65403	C₂²	1	1	yes	characteristic, complemented
139	C₂×#3953	C₂²	1	1	yes	characteristic, complemented
140	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
141	C₂×#3952	C₂²	1	1	yes	characteristic, complemented
142	#65374	C₂²	1	1	yes	characteristic, complemented
143	#65372	C₂²	1	1	yes	characteristic, complemented
144	#65345	C₂²	1	1	yes	characteristic, complemented
145	#65343	C₂²	1	1	yes	characteristic, complemented
146	#65340	C₂²	1	1	yes	characteristic, complemented
147	#65337	C₂²	1	1	yes	characteristic, complemented
148	#65337	C₂²	1	1	yes	characteristic, complemented
149	#65335	C₂²	1	1	yes	characteristic, complemented
150	#65335	C₂²	1	1	yes	characteristic, complemented
151	#65332	C₂²	1	1	yes	characteristic, complemented
152	#65330	C₂²	1	1	yes	characteristic, complemented
153	#65324	C₂²	1	1	yes	characteristic, complemented
154	#65316	C₂²	1	1	yes	characteristic, complemented
155	C₄×#688	C₂²	1	1	yes	characteristic, complemented
156	C₄×#687	C₂²	1	1	yes	characteristic, complemented
157	D₄×#168	C₂²	1	1	yes	characteristic, complemented
158	#65298	C₂²	1	1	yes	characteristic, complemented
159	#65180	C₂²	1	1	yes	characteristic, complemented
160	#65177	C₂²	1	1	yes	characteristic, complemented
161	#65174	C₂²	1	1	yes	characteristic, complemented
162	#65171	C₂²	1	1	yes	characteristic, complemented
163	#65137	C₂²	1	1	yes	characteristic, complemented
164	#65136	C₂²	1	1	yes	characteristic, complemented
165	#65129	C₂²	1	1	yes	characteristic, complemented
166	#65123	C₂²	1	1	yes	characteristic, complemented
167	#65107	C₂²	1	1	yes	characteristic, complemented
168	#65106	C₂²	1	1	yes	characteristic, complemented
169	#65104	C₂²	1	1	yes	characteristic, complemented
170	#65103	C₂²	1	1	yes	characteristic, complemented
171	#65103	C₂²	1	1	yes	characteristic, complemented
172	#65101	C₂²	1	1	yes	characteristic, complemented
173	#65099	C₂²	1	1	yes	characteristic, complemented
174	#65096	C₂²	1	1	yes	characteristic, complemented
175	#65096	C₂²	1	1	yes	characteristic, complemented
176	#65096	C₂²	1	1	yes	characteristic, complemented
177	#65095	C₂²	1	1	yes	characteristic, complemented
178	#65095	C₂²	1	1	yes	characteristic, complemented
179	#65094	C₂²	1	1	yes	characteristic, complemented
180	#65093	C₂²	1	1	yes	characteristic, complemented
181	#65089	C₂²	1	1	yes	characteristic, complemented
182	#65077	C₂²	1	1	yes	characteristic, complemented
183	#65073	C₂²	1	1	yes	characteristic, complemented
184	#65065	C₂²	1	1	yes	characteristic
185	#65065	C₂²	1	1	yes	characteristic, complemented
186	#65059	C₂²	1	1	yes	characteristic, complemented
187	D₅×#102	C₂²	1	1	yes	characteristic, complemented
188	D₅×#102	C₂²	1	1	yes	characteristic, complemented
189	#65055	C₂²	1	1	yes	characteristic, complemented
190	#65053	C₂²	1	1	yes	characteristic, complemented
191	#65026	C₂²	1	1	yes	characteristic, complemented
192	#65025	C₂²	1	1	yes	characteristic, complemented
193	#65020	C₂²	1	1	yes	characteristic, complemented
194	#65020	C₂²	1	1	yes	characteristic, complemented
195	#65019	C₂²	1	1	yes	characteristic, complemented
196	#65016	C₂²	1	1	yes	characteristic, complemented
197	#65014	C₂²	1	1	yes	characteristic, complemented
198	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
199	#65002	C₂²	1	1	yes	characteristic, complemented
200	#64999	C₂²	1	1	yes	characteristic, complemented
201	#64998	C₂²	1	1	yes	characteristic, complemented
202	#64995	C₂²	1	1	yes	characteristic, complemented
203	#61631	—	5	1	no	maximal, Sylow
204	C₂⁴×D₅	—	2	1	no	—
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
207	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic, complemented
208	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
209	C₂²×C₂²⋊D₅	—	2	1	no	—
210	C₂²×C₂²⋊D₅	—	2	1	no	—
211	#4149	—	4	2	no	—
212	#4149	—	4	2	no	—
213	C₂×#713	C₂³	1	1	yes	characteristic
214	C₂×#713	C₂³	1	1	yes	characteristic
215	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
216	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic, complemented
217	C₂×D₄×D₅	—	2	1	no	—
218	C₂×D₄×D₅	—	2	1	no	—
219	C₂×D₄×D₅	—	2	1	no	—
220	C₂×D₄×D₅	—	2	1	no	—
221	C₂×D₄×D₅	—	2	1	no	—
222	C₂×D₄×D₅	—	2	1	no	—
223	C₂×D₄×D₅	—	4	2	no	—
224	C₂×D₄×D₅	—	4	2	no	—
225	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
228	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
229	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
230	C₂×#709	—	2	1	no	—
231	C₂×#709	C₂³	1	1	yes	characteristic
232	C₂²×D₂₀	—	2	1	no	—
233	C₂²×D₂₀	—	2	1	no	—
234	C₂²×D₂₀	C₂³	1	1	yes	characteristic
235	C₂²×D₂₀	C₂³	1	1	yes	characteristic
236	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
237	C₅×#137	—	4	2	no	—
238	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic, complemented
239	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic, complemented
240	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic, complemented
241	C₂×C₅×SD₁₆	—	4	2	no	—
242	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
245	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
246	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
247	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
248	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic, complemented
249	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
250	C₅×C₄⋊Q₈	—	2	1	no	—
251	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
252	C₅×#124	C₂³	1	1	yes	characteristic
253	C₅×#123	—	2	1	no	—
254	C₅×C₂²⋊Q₈	—	2	1	no	—
255	C₅×C₂²⋊Q₈	—	2	1	no	—
256	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
257	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
258	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
259	C₅×#121	—	2	1	no	—
260	C₅×#121	C₂³	1	1	yes	characteristic
261	C₅×#120	—	2	1	no	—
262	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic, complemented
263	C₄×C₅×D₄	—	2	1	no	—
264	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
265	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
266	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
267	#4099	—	2	1	no	—
268	#4093	—	2	1	no	—
269	#4093	C₂³	1	1	yes	characteristic
270	#4092	—	2	1	no	—
271	#4092	—	2	1	no	—
272	#4092	—	2	1	no	—
273	#4092	—	2	1	no	—
274	#4092	C₂³	1	1	yes	characteristic
275	#4092	C₂³	1	1	yes	characteristic
276	#4092	C₂³	1	1	yes	characteristic
277	#4092	C₂³	1	1	yes	characteristic
278	#4092	C₂³	1	1	yes	characteristic
279	#4092	C₂³	1	1	yes	characteristic
280	#4092	C₂³	1	1	yes	characteristic, complemented
281	#4092	C₂³	1	1	yes	characteristic, complemented
282	Q₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
283	Q₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
284	#4090	—	2	1	no	—
285	#4090	—	2	1	no	—
286	#4090	—	2	1	no	—
287	#4090	C₂³	1	1	yes	characteristic, complemented
288	C₂×#689	C₂³	1	1	yes	characteristic, complemented
289	C₂×#688	—	4	2	no	—
290	C₂×#688	—	4	2	no	—
291	C₂×#688	C₂³	1	1	yes	characteristic
292	C₂×#688	C₂³	1	1	yes	characteristic
293	C₂×#688	C₂³	1	1	yes	characteristic
294	C₂×#688	C₂³	1	1	yes	characteristic
295	C₂×#688	C₂³	1	1	yes	characteristic
296	C₂×#688	C₂³	1	1	yes	characteristic
297	C₂×#688	C₂³	1	1	yes	characteristic, complemented
298	C₂×#688	C₂³	1	1	yes	characteristic, complemented
299	C₂×#688	C₂³	1	1	yes	characteristic, complemented
300	#4086	—	2	1	no	—
301	#4086	C₂³	1	1	yes	characteristic
302	#4085	—	2	1	no	—
303	#4085	—	2	1	no	—
304	#4085	D₄	1	1	yes	characteristic
305	#4084	C₂³	1	1	yes	characteristic
306	#4083	—	2	1	no	—
307	#4083	—	2	1	no	—
308	#4083	—	2	1	no	—
309	#4083	—	2	1	no	—
310	#4083	D₄	1	1	yes	characteristic
311	#4081	—	2	1	no	—
312	D₄×Dic₅	C₂³	1	1	yes	characteristic
313	C₂×#687	C₂³	1	1	yes	characteristic
314	C₂×#687	C₂³	1	1	yes	characteristic
315	#4076	—	2	1	no	—
316	#4076	C₂³	1	1	yes	characteristic
317	#4076	C₂³	1	1	yes	characteristic
318	#4075	—	2	1	no	—
319	#4075	—	2	1	no	—
320	#4075	—	2	1	no	—
321	C₄×C₂²⋊D₅	—	2	1	no	—
322	C₄×C₂²⋊D₅	—	2	1	no	—
323	C₄×C₂²⋊D₅	—	2	1	no	—
324	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
325	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
326	C₂×#685	—	2	1	no	—
327	C₂×#685	—	2	1	no	—
328	C₂×#685	—	2	1	no	—
329	#4072	C₂³	1	1	yes	characteristic, complemented
330	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
331	#4070	—	2	1	no	—
332	#4070	—	2	1	no	—
333	#4070	C₂³	1	1	yes	characteristic
334	#4070	C₂³	1	1	yes	characteristic, complemented
335	C₂×#683	—	2	1	no	—
336	C₂²×#168	C₂³	1	1	yes	characteristic
337	C₂²×#168	C₂³	1	1	yes	characteristic, complemented
338	#4064	—	4	2	no	—
339	D₅×SD₁₆	—	4	2	no	—
340	D₅×SD₁₆	—	4	2	no	—
341	D₅×SD₁₆	—	4	2	no	—
342	C₂×#677	C₂³	1	1	yes	characteristic
343	C₂×#677	C₂³	1	1	yes	characteristic
344	C₂×#677	C₂³	1	1	yes	characteristic, complemented
345	C₂×#676	C₂³	1	1	yes	characteristic, complemented
346	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
347	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
348	C₂×C₈×D₅	C₂³	1	1	yes	characteristic, complemented
349	#4044	—	2	1	no	—
350	#4044	—	2	1	no	—
351	#4044	—	2	1	no	—
352	#4044	—	2	1	no	—
353	#4043	C₂³	1	1	yes	characteristic
354	#4042	—	2	1	no	—
355	#4042	—	2	1	no	—
356	#4042	—	2	1	no	—
357	#4042	D₄	1	1	yes	characteristic
358	#4041	—	2	1	no	—
359	#4041	—	2	1	no	—
360	#4041	C₂³	1	1	yes	characteristic
361	#4041	C₂³	1	1	yes	characteristic
362	#4040	—	2	1	no	—
363	#4040	—	2	1	no	—
364	#4040	—	2	1	no	—
365	#4040	—	2	1	no	—
366	#4040	D₄	1	1	yes	characteristic
367	#4039	—	2	1	no	—
368	#4039	—	2	1	no	—
369	#4039	C₂³	1	1	yes	characteristic
370	#4038	—	2	1	no	—
371	#4038	C₂³	1	1	yes	characteristic
372	#4038	C₂³	1	1	yes	characteristic, complemented
373	D₅×C₄⋊C₄	—	2	1	no	—
374	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
375	#4036	—	2	1	no	—
376	#4036	C₂³	1	1	yes	characteristic, complemented
377	#4035	—	2	1	no	—
378	#4035	—	2	1	no	—
379	#4035	—	2	1	no	—
380	#4035	—	2	1	no	—
381	#4035	—	2	1	no	—
382	#4035	—	2	1	no	—
383	#4034	—	2	1	no	—
384	#4034	—	2	1	no	—
385	#4032	—	2	1	no	—
386	#4031	—	2	1	no	—
387	#4031	—	2	1	no	—
388	#4030	—	2	1	no	—
389	#4030	—	2	1	no	—
390	#4030	—	2	1	no	—
391	#4030	—	2	1	no	—
392	#4030	D₄	1	1	yes	characteristic
393	#4029	—	2	1	no	—
394	#4029	—	2	1	no	—
395	#4029	—	2	1	no	—
396	#4029	D₄	1	1	yes	characteristic
397	#4028	—	2	1	no	—
398	#4028	—	2	1	no	—
399	#4028	—	2	1	no	—
400	#4028	—	2	1	no	—
401	#4028	—	2	1	no	—
402	#4028	—	2	1	no	—
403	#4028	—	2	1	no	—
404	#4028	—	2	1	no	—
405	#4028	—	2	1	no	—
406	#4028	—	2	1	no	—
407	#4028	—	2	1	no	—
408	#4028	D₄	1	1	yes	characteristic
409	#4027	—	2	1	no	—
410	#4027	—	2	1	no	—
411	D₅×C₂²⋊C₄	—	2	1	no	—
412	D₅×C₂²⋊C₄	—	2	1	no	—
413	D₅×C₂²⋊C₄	—	2	1	no	—
414	D₅×C₂²⋊C₄	—	2	1	no	—
415	#4025	—	2	1	no	—
416	#4025	—	2	1	no	—
417	#4024	—	2	1	no	—
418	#4024	D₄	1	1	yes	characteristic
419	#4023	—	2	1	no	—
420	#4023	—	2	1	no	—
421	#4022	—	2	1	no	—
422	#4022	—	2	1	no	—
423	#4020	C₂³	1	1	yes	characteristic
424	C₄×D₂₀	C₂³	1	1	yes	characteristic
425	C₄×D₂₀	C₂³	1	1	yes	characteristic
426	#4018	—	2	1	no	—
427	#4018	C₂³	1	1	yes	characteristic
428	#4016	—	2	1	no	—
429	#4016	C₂³	1	1	yes	characteristic, complemented
430	C₄×Dic₁₀	C₂³	1	1	yes	characteristic, complemented
431	C₅×#107	C₂³	1	1	yes	characteristic, complemented
432	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
433	C₅×#103	C₂³	1	1	yes	characteristic, complemented
434	C₅×#103	C₂³	1	1	yes	characteristic, complemented
435	C₅×#103	C₂³	1	1	yes	characteristic, complemented
436	C₅×#103	C₂³	1	1	yes	characteristic, complemented
437	C₅×#102	C₂³	1	1	yes	characteristic
438	C₅×#102	C₂³	1	1	yes	characteristic
439	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
441	C₅×#97	C₂³	1	1	yes	characteristic, complemented
442	#3967	C₂³	1	1	yes	characteristic, complemented
443	#3967	C₂³	1	1	yes	characteristic, complemented
444	#3967	C₂³	1	1	yes	characteristic, complemented
445	#3967	C₂³	1	1	yes	characteristic, complemented
446	#3967	C₂³	1	1	yes	characteristic, complemented
447	#3967	C₂³	1	1	yes	characteristic, complemented
448	#3964	C₂³	1	1	yes	characteristic
449	#3964	C₂³	1	1	yes	characteristic
450	#3964	C₂³	1	1	yes	characteristic
451	#3964	C₂³	1	1	yes	characteristic
452	#3964	C₂³	1	1	yes	characteristic
453	#3964	C₂³	1	1	yes	characteristic
454	C₂²⋊#168	C₂³	1	1	yes	characteristic
455	C₂²⋊#168	C₂³	1	1	yes	characteristic, complemented
456	#3953	C₂³	1	1	yes	characteristic
457	#3953	C₂³	1	1	yes	characteristic
458	#3953	C₂³	1	1	yes	characteristic
459	#3953	C₂³	1	1	yes	characteristic
460	#3953	C₂³	1	1	yes	characteristic
461	#3953	C₂³	1	1	yes	characteristic
462	#3953	C₂³	1	1	yes	characteristic, complemented
463	#3953	C₂³	1	1	yes	characteristic, complemented
464	#3953	C₂³	1	1	yes	characteristic, complemented
465	#3952	C₂³	1	1	yes	characteristic
466	#3952	C₂³	1	1	yes	characteristic
467	#3952	C₂³	1	1	yes	characteristic
468	#3952	C₂³	1	1	yes	characteristic
469	#3952	C₂³	1	1	yes	characteristic
470	#3952	C₂³	1	1	yes	characteristic
471	#3952	C₂³	1	1	yes	characteristic, complemented
472	#3952	C₂³	1	1	yes	characteristic, complemented
473	#3950	C₂³	1	1	yes	characteristic, complemented
474	#3950	C₂³	1	1	yes	characteristic, complemented
475	#3949	C₂³	1	1	yes	characteristic, complemented
476	#3948	C₂³	1	1	yes	characteristic, complemented
477	#3947	C₂³	1	1	yes	characteristic, complemented
478	#3946	C₂³	1	1	yes	characteristic, complemented
479	#3946	C₂³	1	1	yes	characteristic, complemented
480	C₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
481	#3942	C₂³	1	1	yes	characteristic, complemented
482	#3941	C₂³	1	1	yes	characteristic
483	#3941	C₂³	1	1	yes	characteristic
484	#3941	C₂³	1	1	yes	characteristic, complemented
485	#3940	C₂³	1	1	yes	characteristic, complemented
486	#3940	C₂³	1	1	yes	characteristic, complemented
487	#3940	C₂³	1	1	yes	characteristic, complemented
488	#3939	C₂³	1	1	yes	characteristic, complemented
489	C₄⋊#168	C₂³	1	1	yes	characteristic, complemented
490	C₄×#168	C₂³	1	1	yes	characteristic, complemented
491	#3538	—	5	1	no	—
492	#3484	—	5	1	no	—
493	#3310	—	5	1	no	—
494	#3310	—	5	1	no	—
495	#3310	—	5	1	no	—
496	#3310	—	5	1	no	—
497	#3296	—	5	1	no	—
498	#3296	—	5	1	no	—
499	#3296	—	5	1	no	—
500	#3296	—	5	1	no	—
501	D₄×SD₁₆	—	5	1	no	—
502	D₄×SD₁₆	—	5	1	no	—
503	D₄×SD₁₆	—	5	1	no	—
504	D₄×SD₁₆	—	5	1	no	—
505	#3266	—	5	1	no	—
506	#3266	—	5	1	no	—
507	#3266	—	5	1	no	—
508	#3266	D₅	1	1	yes	characteristic, complemented
509	#3222	—	5	1	no	—
510	#3222	—	5	1	no	—
511	#3200	—	5	1	no	—
512	#3200	—	5	1	no	—
513	#3190	—	5	1	no	—
514	#3190	—	5	1	no	—
515	#3123	—	5	1	no	—
516	#3123	—	5	1	no	—
517	#3009	—	5	1	no	—
518	#3009	—	5	1	no	—
519	C₂×#450	—	5	1	no	—
520	C₂×#450	—	5	1	no	—
521	#2977	—	5	1	no	—
522	C₂⁴×C₅	—	2	1	no	—
523	C₂³×D₅	—	2	1	no	—
524	C₂³×D₅	—	2	1	no	—
525	C₂³×D₅	—	2	1	no	—
526	C₂³×D₅	—	2	1	no	—
527	C₂³×D₅	—	2	1	no	—
528	C₂³×D₅	—	2	1	no	—
529	C₂³×D₅	—	2	1	no	—
530	C₂³×D₅	—	4	4	no	—
531	C₂³×D₅	—	8	2	no	—
532	C₂³×D₅	—	8	2	no	—
533	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
534	C₅×#41	—	2	2	no	—
535	C₅×#41	—	4	1	no	—
536	C₂×C₅×Q₈	—	2	1	no	—
537	C₂×C₅×Q₈	—	2	1	no	—
538	C₂×C₅×Q₈	—	4	1	no	—
539	C₂×C₅×Q₈	—	4	1	no	—
540	C₂×C₅×Q₈	—	4	1	no	—
541	C₂×C₅×Q₈	—	4	1	no	—
542	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
543	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
544	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
545	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
546	C₂×C₅×D₄	—	2	2	no	—
547	C₂×C₅×D₄	—	2	1	no	—
548	C₂×C₅×D₄	—	2	1	no	—
549	C₂×C₅×D₄	—	2	1	no	—
550	C₂×C₅×D₄	—	4	1	no	—
551	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
552	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
553	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₅	—	2	1	no	—
555	C₂²×C₄×C₅	—	2	1	no	—
556	C₂²×C₄×C₅	—	2	1	no	—
557	C₂²×C₄×C₅	—	2	1	no	—
558	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
559	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
560	C₂×C₂²⋊D₅	—	2	1	no	—
561	C₂×C₂²⋊D₅	—	2	1	no	—
562	C₂×C₂²⋊D₅	—	2	1	no	—
563	C₂×C₂²⋊D₅	—	2	1	no	—
564	C₂×C₂²⋊D₅	—	2	1	no	—
565	C₂×C₂²⋊D₅	—	2	1	no	—
566	C₂×C₂²⋊D₅	—	2	1	no	—
567	C₂×C₂²⋊D₅	—	2	1	no	—
568	C₂×C₂²⋊D₅	—	2	1	no	—
569	C₂×C₂²⋊D₅	—	2	1	no	—
570	C₂×C₂²⋊D₅	—	4	4	no	—
571	C₂×C₂²⋊D₅	—	8	2	no	—
572	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
573	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
574	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
575	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
576	C₂²×Dic₅	—	2	1	no	—
577	C₂²×Dic₅	—	2	1	no	—
578	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
579	#713	—	2	2	no	—
580	#713	—	4	1	no	—
581	#713	—	4	1	no	—
582	#713	—	4	1	no	—
583	Q₈×D₅	—	4	1	no	—
584	Q₈×D₅	—	4	1	no	—
585	Q₈×D₅	—	4	1	no	—
586	Q₈×D₅	—	4	1	no	—
587	D₄×D₅	—	2	2	no	—
588	D₄×D₅	—	2	2	no	—
589	D₄×D₅	—	2	2	no	—
590	D₄×D₅	—	2	2	no	—
591	D₄×D₅	—	2	2	no	—
592	D₄×D₅	—	4	1	no	—
593	D₄×D₅	—	4	1	no	—
594	D₄×D₅	—	4	1	no	—
595	D₄×D₅	—	4	1	no	—
596	D₄×D₅	—	4	1	no	—
597	D₄×D₅	—	4	4	no	—
598	D₄×D₅	—	4	4	no	—
599	D₄×D₅	—	4	4	no	—
600	D₄×D₅	—	4	4	no	—
601	D₄×D₅	—	8	2	no	—
602	D₄×D₅	—	8	2	no	—
603	#709	—	4	1	no	—
604	#709	—	4	1	no	—
605	#709	—	4	4	no	—
606	C₂×D₂₀	—	2	2	no	—
607	C₂×D₂₀	—	2	2	no	—
608	C₂×D₂₀	—	2	1	no	—
609	C₂×D₂₀	—	2	1	no	—
610	C₂×D₂₀	—	2	1	no	—
611	C₂×D₂₀	—	2	1	no	—
612	C₂×D₂₀	—	2	1	no	—
613	C₂×D₂₀	—	2	1	no	—
614	C₂×D₂₀	—	2	1	no	—
615	C₂×D₂₀	—	2	1	no	—
616	C₂×D₂₀	—	4	1	no	—
617	C₂×D₂₀	—	4	1	no	—
618	C₂×D₂₀	—	4	4	no	—
619	C₂×D₂₀	—	8	2	no	—
620	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
621	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
622	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
623	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
624	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
625	C₂×C₄×D₅	—	2	1	no	—
626	C₂×C₄×D₅	—	2	1	no	—
627	C₂×C₄×D₅	—	2	1	no	—
628	C₂×C₄×D₅	—	2	1	no	—
629	C₂×C₄×D₅	—	2	1	no	—
630	C₂×C₄×D₅	—	2	1	no	—
631	C₂×C₄×D₅	—	2	1	no	—
632	C₂×C₄×D₅	—	4	1	no	—
633	C₂×C₄×D₅	—	4	1	no	—
634	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
635	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
636	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
637	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
638	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
639	C₂×Dic₁₀	—	2	1	no	—
640	C₂×Dic₁₀	—	2	1	no	—
641	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
642	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
643	C₅×Q₁₆	—	4	1	no	—
644	C₅×Q₁₆	—	4	1	no	—
645	C₅×Q₁₆	—	4	1	no	—
646	C₅×SD₁₆	—	2	2	no	—
647	C₅×SD₁₆	—	2	2	no	—
648	C₅×SD₁₆	—	2	2	no	—
649	C₅×SD₁₆	—	4	1	no	—
650	C₅×SD₁₆	—	4	1	no	—
651	C₅×SD₁₆	—	4	1	no	—
652	C₅×M₁₆	—	4	1	no	—
653	C₂×C₅×C₈	—	4	1	no	—
654	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
655	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
656	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
657	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
658	C₅×C₄⋊C₄	—	2	1	no	—
659	C₅×C₄⋊C₄	—	2	1	no	—
660	C₅×C₄⋊C₄	—	2	1	no	—
661	C₅×C₄⋊C₄	—	2	1	no	—
662	C₅×C₄⋊C₄	—	2	1	no	—
663	C₅×C₄⋊C₄	—	2	1	no	—
664	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
665	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
666	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
667	C₅×C₂²⋊C₄	—	2	1	no	—
668	C₅×C₂²⋊C₄	—	2	1	no	—
669	C₅×C₂²⋊C₄	—	2	1	no	—
670	C₅×C₂²⋊C₄	—	2	1	no	—
671	C₅×C₂²⋊C₄	—	2	1	no	—
672	C₅×C₂²⋊C₄	—	2	1	no	—
673	C₅×C₂²⋊C₄	—	2	1	no	—
674	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
675	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
676	C₄²×C₅	—	2	1	no	—
677	C₄²×C₅	C₂⁴	1	1	yes	characteristic
678	C₂²⋊Dic₅	—	2	1	no	—
679	C₂²⋊Dic₅	—	2	1	no	—
680	C₂²⋊Dic₅	—	2	1	no	—
681	C₂²⋊Dic₅	—	2	1	no	—
682	C₂²⋊Dic₅	—	2	1	no	—
683	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
684	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
685	#689	—	4	1	no	—
686	#688	—	2	2	no	—
687	#688	—	2	2	no	—
688	#688	—	2	2	no	—
689	#688	—	4	1	no	—
690	#688	—	4	1	no	—
691	#688	—	4	1	no	—
692	#688	—	4	1	no	—
693	#688	—	4	1	no	—
694	#688	—	4	1	no	—
695	#687	—	2	2	no	—
696	#687	—	4	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	—	2	1	no	—
715	#685	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
728	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
729	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
730	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
731	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
732	#683	—	2	1	no	—
733	#683	—	2	1	no	—
734	#683	—	2	1	no	—
735	#683	—	2	1	no	—
736	#683	—	2	1	no	—
737	#683	—	2	1	no	—
738	#683	—	2	1	no	—
739	#683	—	2	1	no	—
740	#683	—	2	1	no	—
741	#683	—	2	1	no	—
742	#683	—	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	#683	C₂×D₄	1	1	yes	characteristic
750	#683	C₂×D₄	1	1	yes	characteristic
751	#683	C₂×D₄	1	1	yes	characteristic
752	#683	C₂×D₄	1	1	yes	characteristic
753	C₄×Dic₅	—	2	1	no	—
754	C₄×Dic₅	—	2	1	no	—
755	C₄×Dic₅	—	2	1	no	—
756	C₄×Dic₅	—	2	1	no	—
757	C₄×Dic₅	—	2	1	no	—
758	C₄×Dic₅	—	2	1	no	—
759	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
760	C₂×#168	—	4	1	no	—
761	C₂×#168	—	4	1	no	—
762	C₂×#168	C₂⁴	1	1	yes	characteristic
763	C₂×#168	C₂⁴	1	1	yes	characteristic
764	C₂×#168	C₂⁴	1	1	yes	characteristic
765	C₂×#168	C₂⁴	1	1	yes	characteristic
766	#677	—	2	2	no	—
767	#677	—	4	1	no	—
768	#677	—	4	1	no	—
769	#676	—	4	1	no	—
770	C₈×D₅	—	4	1	no	—
771	C₈×D₅	—	4	1	no	—
772	C₈×D₅	—	4	1	no	—
773	C₂×H(5,𝔽₂)	—	5	1	no	—
774	C₂³×D₄	—	5	1	no	—
775	C₂×#137	—	5	1	no	—
776	C₂×#137	C₂×D₅	1	1	yes	characteristic, complemented
777	C₂²×SD₁₆	—	5	1	no	—
778	C₂²×SD₁₆	—	5	1	no	—
779	C₂²×SD₁₆	—	5	1	no	—
780	C₂²×SD₁₆	—	5	1	no	—
781	C₂²×SD₁₆	—	5	1	no	—
782	C₂²×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
783	#563	—	10	1	no	—
784	#563	—	10	1	no	—
785	#552	—	5	1	no	—
786	#552	—	5	1	no	—
787	#552	—	5	1	no	—
788	#552	—	5	1	no	—
789	#551	—	10	1	no	—
790	#551	—	10	1	no	—
791	D₄×Q₈	—	5	1	no	—
792	D₄×Q₈	—	5	1	no	—
793	D₄×Q₈	—	5	1	no	—
794	D₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
795	#546	—	5	1	no	—
796	#546	—	5	1	no	—
797	#546	—	5	1	no	—
798	#546	—	10	1	no	—
799	#546	—	10	1	no	—
800	#546	C₂×D₅	1	1	yes	characteristic
801	D₄²	—	5	1	no	—
802	D₄²	—	5	1	no	—
803	D₄²	—	5	1	no	—
804	D₄²	—	5	1	no	—
805	D₄²	—	10	1	no	—
806	D₄²	—	10	1	no	—
807	#544	—	10	1	no	—
808	#544	—	10	1	no	—
809	#541	—	5	1	no	—
810	#541	—	5	1	no	—
811	#539	—	10	1	no	—
812	#539	—	10	1	no	—
813	#536	—	5	1	no	—
814	#536	—	5	1	no	—
815	#535	—	5	1	no	—
816	#535	—	5	1	no	—
817	#534	—	10	1	no	—
818	#534	—	10	1	no	—
819	#525	—	5	1	no	—
820	#525	—	5	1	no	—
821	C₂×C₂²⋊Q₈	—	5	1	no	—
822	C₂×C₂²⋊Q₈	—	5	1	no	—
823	C₂×#120	—	10	1	no	—
824	C₂×#120	—	10	1	no	—
825	#518	—	5	1	no	—
826	#497	—	5	1	no	—
827	#497	C₂×D₅	1	1	yes	characteristic, complemented
828	#492	—	5	1	no	—
829	#492	—	5	1	no	—
830	#490	—	5	1	no	—
831	#490	—	5	1	no	—
832	#488	—	5	1	no	—
833	#488	—	5	1	no	—
834	#485	—	5	1	no	—
835	#485	—	5	1	no	—
836	#485	—	5	1	no	—
837	#485	—	5	1	no	—
838	#483	—	5	1	no	—
839	#483	—	5	1	no	—
840	#482	—	5	1	no	—
841	#482	—	5	1	no	—
842	#482	—	5	1	no	—
843	#482	—	5	1	no	—
844	#480	—	5	1	no	—
845	#480	—	5	1	no	—
846	#478	—	5	1	no	—
847	#478	—	5	1	no	—
848	#478	—	5	1	no	—
849	#478	—	5	1	no	—
850	#468	—	5	1	no	—
851	#468	—	5	1	no	—
852	#468	—	5	1	no	—
853	#468	C₂×D₅	1	1	yes	characteristic, complemented
854	#467	—	5	1	no	—
855	#467	—	5	1	no	—
856	#467	—	5	1	no	—
857	#467	C₂×D₅	1	1	yes	characteristic, complemented
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	#465	—	5	1	no	—
864	#465	—	5	1	no	—
865	#465	—	5	1	no	—
866	#464	—	5	1	no	—
867	#464	—	5	1	no	—
868	#464	—	5	1	no	—
869	#464	C₂×D₅	1	1	yes	characteristic, complemented
870	#461	—	5	1	no	—
871	#461	—	5	1	no	—
872	#461	—	5	1	no	—
873	#461	C₂×D₅	1	1	yes	characteristic, complemented
874	#460	—	5	1	no	—
875	#460	—	5	1	no	—
876	#460	—	5	1	no	—
877	#460	—	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	#452	—	5	1	no	—
884	#452	—	5	1	no	—
885	#452	C₂×D₅	1	1	yes	characteristic, complemented
886	#451	—	5	1	no	—
887	#451	C₂×D₅	1	1	yes	characteristic, complemented
888	#450	—	5	1	no	—
889	#450	—	5	1	no	—
890	#450	—	5	1	no	—
891	#450	—	5	1	no	—
892	#450	—	5	1	no	—
893	#450	—	5	1	no	—
894	#450	—	5	1	no	—
895	#450	—	5	1	no	—
896	#450	—	5	1	no	—
897	#450	—	5	1	no	—
898	#450	—	5	1	no	—
899	#450	—	5	1	no	—
900	#450	—	5	1	no	—
901	#450	—	5	1	no	—
902	#450	—	5	1	no	—
903	#450	—	5	1	no	—
904	#450	—	5	1	no	—
905	#450	—	5	1	no	—
906	#450	—	5	1	no	—
907	#450	C₂×D₅	1	1	yes	characteristic, complemented
908	#448	—	5	1	no	—
909	#448	—	5	1	no	—
910	#448	—	5	1	no	—
911	#448	—	5	1	no	—
912	#448	—	5	1	no	—
913	#448	C₂×D₅	1	1	yes	characteristic, complemented
914	#440	—	5	1	no	—
915	#440	—	5	1	no	—
916	#440	—	5	1	no	—
917	#440	C₂×D₅	1	1	yes	characteristic, complemented
918	C₄×SD₁₆	—	5	1	no	—
919	C₄×SD₁₆	—	5	1	no	—
920	C₄×SD₁₆	—	5	1	no	—
921	C₄×SD₁₆	—	5	1	no	—
922	#435	—	5	1	no	—
923	#435	—	5	1	no	—
924	#435	—	5	1	no	—
925	#435	C₂×D₅	1	1	yes	characteristic, complemented
926	C₈×D₄	—	5	1	no	—
927	C₈×D₄	—	5	1	no	—
928	C₈×D₄	—	5	1	no	—
929	C₈×D₄	—	5	1	no	—
930	#433	—	5	1	no	—
931	#433	—	5	1	no	—
932	#418	—	5	1	no	—
933	#418	—	5	1	no	—
934	#416	—	5	1	no	—
935	#416	—	5	1	no	—
936	C₂×#102	—	5	1	no	—
937	C₂×#102	—	5	1	no	—
938	C₂×#102	—	5	1	no	—
939	C₂×#102	—	5	1	no	—
940	#408	—	5	1	no	—
941	#408	—	5	1	no	—
942	C₂×C₂²⋊C₈	—	5	1	no	—
943	C₂×C₂²⋊C₈	—	5	1	no	—
944	C₂³×C₅	—	2	1	no	—
945	C₂³×C₅	—	2	1	no	—
946	C₂³×C₅	—	4	2	no	—
947	C₂³×C₅	—	4	2	no	—
948	C₂³×C₅	—	8	1	no	—
949	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
950	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
951	C₂²×D₅	—	2	2	no	—
952	C₂²×D₅	—	2	1	no	—
953	C₂²×D₅	—	2	4	no	—
954	C₂²×D₅	—	2	2	no	—
955	C₂²×D₅	—	2	1	no	—
956	C₂²×D₅	—	2	1	no	—
957	C₂²×D₅	—	4	1	no	—
958	C₂²×D₅	—	4	2	no	—
959	C₂²×D₅	—	4	2	no	—
960	C₂²×D₅	—	4	2	no	—
961	C₂²×D₅	—	4	2	no	—
962	C₂²×D₅	—	4	2	no	—
963	C₂²×D₅	—	4	2	no	—
964	C₂²×D₅	—	4	2	no	—
965	C₂²×D₅	—	4	2	no	—
966	C₂²×D₅	—	4	2	no	—
967	C₂²×D₅	—	8	1	no	—
968	C₂²×D₅	—	8	1	no	—
969	C₂²×D₅	—	8	1	no	—
970	C₂²×D₅	—	8	1	no	—
971	C₂²×D₅	—	8	1	no	—
972	C₂²×D₅	—	8	1	no	—
973	C₂²×D₅	—	8	1	no	—
974	C₂²×D₅	—	8	1	no	—
975	C₂²×D₅	—	8	1	no	—
976	C₂²×D₅	—	8	1	no	—
977	C₂²×D₅	—	8	1	no	—
978	C₂²×D₅	—	8	16	no	—
979	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
980	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
981	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
982	C₅×Q₈	—	2	1	no	—
983	C₅×Q₈	—	2	1	no	—
984	C₅×Q₈	—	2	1	no	—
985	C₅×Q₈	—	2	1	no	—
986	C₅×Q₈	—	2	1	no	—
987	C₅×Q₈	—	2	1	no	—
988	C₅×Q₈	—	2	1	no	—
989	C₅×Q₈	—	2	1	no	—
990	C₅×Q₈	—	8	1	no	—
991	C₅×Q₈	—	8	1	no	—
992	C₅×D₄	—	2	2	no	—
993	C₅×D₄	—	2	1	no	—
994	C₅×D₄	—	2	1	no	—
995	C₅×D₄	—	2	1	no	—
996	C₅×D₄	—	4	2	no	—
997	C₅×D₄	—	4	2	no	—
998	C₅×D₄	—	8	1	no	—
999	C₅×D₄	H(5,𝔽₂)	1	2	yes	—
1000	C₂×C₄×C₅	—	2	1	no	—
1001	C₂×C₄×C₅	—	2	1	no	—
1002	C₂×C₄×C₅	—	2	1	no	—
1003	C₂×C₄×C₅	—	2	1	no	—
1004	C₂×C₄×C₅	—	2	1	no	—
1005	C₂×C₄×C₅	—	2	1	no	—
1006	C₂×C₄×C₅	—	2	1	no	—
1007	C₂×C₄×C₅	—	2	1	no	—
1008	C₂×C₄×C₅	—	2	1	no	—
1009	C₂×C₄×C₅	—	2	1	no	—
1010	C₂×C₄×C₅	—	4	2	no	—
1011	C₂×C₄×C₅	—	8	1	no	—
1012	C₂×C₄×C₅	—	8	1	no	—
1013	C₂×C₄×C₅	—	8	1	no	—
1014	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1015	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1016	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1017	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1018	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1019	C₂²⋊D₅	—	2	4	no	—
1020	C₂²⋊D₅	—	2	2	no	—
1021	C₂²⋊D₅	—	2	2	no	—
1022	C₂²⋊D₅	—	4	1	no	—
1023	C₂²⋊D₅	—	4	1	no	—
1024	C₂²⋊D₅	—	4	2	no	—
1025	C₂²⋊D₅	—	4	2	no	—
1026	C₂²⋊D₅	—	4	2	no	—
1027	C₂²⋊D₅	—	4	2	no	—
1028	C₂²⋊D₅	—	4	2	no	—
1029	C₂²⋊D₅	—	8	1	no	—
1030	C₂²⋊D₅	—	8	1	no	—
1031	C₂²⋊D₅	—	8	1	no	—
1032	C₂²⋊D₅	—	8	1	no	—
1033	C₂×Dic₅	—	2	1	no	—
1034	C₂×Dic₅	—	2	1	no	—
1035	C₂×Dic₅	—	2	1	no	—
1036	C₂×Dic₅	—	2	1	no	—
1037	C₂×Dic₅	—	2	1	no	—
1038	C₂×Dic₅	—	4	1	no	—
1039	C₂×Dic₅	—	4	2	no	—
1040	C₂×Dic₅	—	8	1	no	—
1041	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1042	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1043	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1044	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1045	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1046	D₂₀	—	2	2	no	—
1047	D₂₀	—	2	1	no	—
1048	D₂₀	—	2	1	no	—
1049	D₂₀	—	2	1	no	—
1050	D₂₀	—	2	1	no	—
1051	D₂₀	—	2	1	no	—
1052	D₂₀	—	4	1	no	—
1053	D₂₀	—	4	2	no	—
1054	D₂₀	—	4	2	no	—
1055	D₂₀	—	4	2	no	—
1056	D₂₀	—	4	2	no	—
1057	D₂₀	—	4	2	no	—
1058	D₂₀	—	8	1	no	—
1059	D₂₀	—	8	1	no	—
1060	D₂₀	—	8	1	no	—
1061	D₂₀	H(5,𝔽₂)	1	2	yes	—
1062	C₄×D₅	—	2	1	no	—
1063	C₄×D₅	—	2	1	no	—
1064	C₄×D₅	—	2	1	no	—
1065	C₄×D₅	—	2	1	no	—
1066	C₄×D₅	—	2	1	no	—
1067	C₄×D₅	—	2	1	no	—
1068	C₄×D₅	—	4	1	no	—
1069	C₄×D₅	—	4	1	no	—
1070	C₄×D₅	—	4	2	no	—
1071	C₄×D₅	—	4	2	no	—
1072	C₄×D₅	—	4	2	no	—
1073	C₄×D₅	—	8	1	no	—
1074	C₄×D₅	—	8	1	no	—
1075	C₄×D₅	—	8	1	no	—
1076	C₄×D₅	—	8	1	no	—
1077	Dic₁₀	—	2	1	no	—
1078	Dic₁₀	—	2	1	no	—
1079	Dic₁₀	—	4	1	no	—
1080	Dic₁₀	—	8	1	no	—
1081	Dic₁₀	—	8	1	no	—
1082	C₅×C₈	—	2	1	no	—
1083	C₅×C₈	—	2	1	no	—
1084	C₅×C₈	—	2	1	no	—
1085	C₅×C₈	—	2	1	no	—
1086	#168	—	2	1	no	—
1087	#168	—	2	1	no	—
1088	#168	—	2	1	no	—
1089	#168	—	2	1	no	—
1090	C₂⁵	—	10	1	no	—
1091	H(5,𝔽₂)	—	20	2	no	—
1092	H(5,𝔽₂)	—	20	2	no	—
1093	C₂×#41	—	5	1	no	—
1094	C₂×#41	—	5	1	no	—
1095	C₂×#41	—	5	1	no	—
1096	C₂×#41	—	10	1	no	—
1097	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1098	C₂²×Q₈	—	5	1	no	—
1099	C₂²×Q₈	—	5	1	no	—
1100	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1101	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1102	C₂²×D₄	—	5	1	no	—
1103	C₂²×D₄	—	5	1	no	—
1104	C₂²×D₄	—	5	1	no	—
1105	C₂²×D₄	—	5	1	no	—
1106	C₂²×D₄	—	5	1	no	—
1107	C₂²×D₄	—	5	1	no	—
1108	C₂²×D₄	—	5	1	no	—
1109	C₂²×D₄	—	10	1	no	—
1110	C₂²×D₄	—	10	1	no	—
1111	C₂²×D₄	—	10	1	no	—
1112	C₂²×D₄	—	10	1	no	—
1113	C₂²×D₄	—	10	1	no	—
1114	C₂²×D₄	—	10	1	no	—
1115	C₂²×D₄	—	10	1	no	—
1116	C₂²×D₄	—	10	1	no	—
1117	C₂²×D₄	—	10	1	no	—
1118	C₂²×D₄	—	10	1	no	—
1119	C₂²×D₄	—	20	2	no	—
1120	C₂²×D₄	—	20	2	no	—
1121	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1122	C₂³×C₄	—	5	1	no	—
1123	#137	—	4	2	no	—
1124	#137	—	20	2	no	—
1125	C₂×Q₁₆	—	5	1	no	—
1126	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1127	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1128	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1129	C₂×SD₁₆	—	4	2	no	—
1130	C₂×SD₁₆	—	5	1	no	—
1131	C₂×SD₁₆	—	5	1	no	—
1132	C₂×SD₁₆	—	5	1	no	—
1133	C₂×SD₁₆	—	5	1	no	—
1134	C₂×SD₁₆	—	5	1	no	—
1135	C₂×SD₁₆	—	5	1	no	—
1136	C₂×SD₁₆	—	5	1	no	—
1137	C₂×SD₁₆	—	5	1	no	—
1138	C₂×SD₁₆	—	5	1	no	—
1139	C₂×SD₁₆	—	5	1	no	—
1140	C₂×SD₁₆	—	5	1	no	—
1141	C₂×SD₁₆	—	5	1	no	—
1142	C₂×SD₁₆	—	5	1	no	—
1143	C₂×SD₁₆	—	5	1	no	—
1144	C₂×SD₁₆	—	20	2	no	—
1145	C₂×SD₁₆	—	20	2	no	—
1146	C₂×SD₁₆	—	20	2	no	—
1147	C₂×SD₁₆	—	20	2	no	—
1148	C₂×SD₁₆	—	20	2	no	—
1149	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1150	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1151	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1152	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1153	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1154	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1155	C₂×M₁₆	—	5	1	no	—
1156	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1157	C₂²×C₈	—	5	1	no	—
1158	C₂²×C₈	—	5	1	no	—
1159	C₂²×C₈	—	5	1	no	—
1160	C₂²×C₈	—	5	1	no	—
1161	C₂²×C₈	—	5	1	no	—
1162	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1163	C₄⋊Q₈	—	2	1	no	—
1164	C₄⋊Q₈	—	5	1	no	—
1165	C₄⋊Q₈	—	10	1	no	—
1166	C₄⋊Q₈	—	10	1	no	—
1167	C₄⋊Q₈	—	10	1	no	—
1168	C₄⋊Q₈	—	10	1	no	—
1169	C₄⋊Q₈	—	10	1	no	—
1170	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1171	#127	—	5	1	no	—
1172	#127	—	5	1	no	—
1173	#127	—	10	1	no	—
1174	#126	—	10	1	no	—
1175	#126	—	10	1	no	—
1176	#126	—	10	1	no	—
1177	#126	—	10	1	no	—
1178	#126	—	10	1	no	—
1179	#126	—	10	1	no	—
1180	#126	—	10	1	no	—
1181	#126	—	10	1	no	—
1182	#125	—	5	1	no	—
1183	#125	—	5	1	no	—
1184	#125	—	10	1	no	—
1185	#125	—	10	1	no	—
1186	#125	—	10	1	no	—
1187	#125	—	10	1	no	—
1188	#125	—	10	1	no	—
1189	#125	—	10	1	no	—
1190	#125	—	10	1	no	—
1191	#125	—	10	1	no	—
1192	#124	—	5	1	no	—
1193	#124	—	10	1	no	—
1194	#124	—	10	1	no	—
1195	#124	—	10	1	no	—
1196	#124	C₂²×D₅	1	1	yes	characteristic
1197	#123	—	2	1	no	—
1198	#123	—	5	1	no	—
1199	#123	—	5	1	no	—
1200	#123	—	10	1	no	—
1201	#123	—	10	1	no	—
1202	#123	—	10	1	no	—
1203	#123	—	10	1	no	—
1204	#123	—	10	1	no	—
1205	#123	—	10	1	no	—
1206	#123	—	10	1	no	—
1207	#123	—	10	1	no	—
1208	#123	—	10	1	no	—
1209	#123	—	10	1	no	—
1210	#123	—	10	1	no	—
1211	#123	—	10	1	no	—
1212	C₂²⋊Q₈	—	2	1	no	—
1213	C₂²⋊Q₈	—	2	1	no	—
1214	C₂²⋊Q₈	—	5	1	no	—
1215	C₂²⋊Q₈	—	5	1	no	—
1216	C₂²⋊Q₈	—	5	1	no	—
1217	C₂²⋊Q₈	—	5	1	no	—
1218	C₂²⋊Q₈	—	5	1	no	—
1219	C₂²⋊Q₈	—	5	1	no	—
1220	C₂²⋊Q₈	—	5	1	no	—
1221	C₂²⋊Q₈	—	5	1	no	—
1222	C₂²⋊Q₈	—	5	1	no	—
1223	C₂²⋊Q₈	—	5	1	no	—
1224	C₂²⋊Q₈	—	5	1	no	—
1225	C₂²⋊Q₈	—	5	1	no	—
1226	C₂²⋊Q₈	—	5	1	no	—
1227	C₂²⋊Q₈	—	10	1	no	—
1228	C₂²⋊Q₈	—	10	1	no	—
1229	C₂²⋊Q₈	—	10	1	no	—
1230	C₂²⋊Q₈	—	10	1	no	—
1231	C₂²⋊Q₈	—	10	1	no	—
1232	C₂²⋊Q₈	—	10	1	no	—
1233	C₂²⋊Q₈	—	10	1	no	—
1234	C₂²⋊Q₈	—	10	1	no	—
1235	C₂²⋊Q₈	—	10	1	no	—
1236	C₂²⋊Q₈	—	10	1	no	—
1237	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1238	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1239	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1240	#121	—	2	1	no	—
1241	#121	—	5	1	no	—
1242	#121	—	5	1	no	—
1243	#121	—	5	1	no	—
1244	#121	—	5	1	no	—
1245	#121	—	5	1	no	—
1246	#121	—	5	1	no	—
1247	#121	—	5	1	no	—
1248	#121	—	10	1	no	—
1249	#121	—	10	1	no	—
1250	#121	—	10	1	no	—
1251	#121	—	10	1	no	—
1252	#121	—	10	1	no	—
1253	#121	—	10	1	no	—
1254	#121	—	10	1	no	—
1255	#121	—	10	1	no	—
1256	#121	—	10	1	no	—
1257	#121	C₂²×D₅	1	1	yes	characteristic
1258	#120	—	2	1	no	—
1259	#120	—	5	1	no	—
1260	#120	—	5	1	no	—
1261	#120	—	10	1	no	—
1262	#120	—	10	1	no	—
1263	#120	—	10	1	no	—
1264	#120	—	10	1	no	—
1265	#120	—	10	1	no	—
1266	#120	—	10	1	no	—
1267	#120	—	10	1	no	—
1268	#120	—	10	1	no	—
1269	#120	—	10	1	no	—
1270	#120	—	10	1	no	—
1271	#120	—	10	1	no	—
1272	#120	—	10	1	no	—
1273	#120	—	10	1	no	—
1274	#120	—	10	1	no	—
1275	#120	—	10	1	no	—
1276	#120	—	10	1	no	—
1277	C₄×Q₈	—	5	1	no	—
1278	C₄×Q₈	—	5	1	no	—
1279	C₄×Q₈	—	5	1	no	—
1280	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1281	C₄×D₄	—	2	1	no	—
1282	C₄×D₄	—	5	1	no	—
1283	C₄×D₄	—	5	1	no	—
1284	C₄×D₄	—	5	1	no	—
1285	C₄×D₄	—	5	1	no	—
1286	C₄×D₄	—	5	1	no	—
1287	C₄×D₄	—	5	1	no	—
1288	C₄×D₄	—	10	1	no	—
1289	C₄×D₄	—	10	1	no	—
1290	C₄×D₄	—	10	1	no	—
1291	C₄×D₄	—	10	1	no	—
1292	C₄×D₄	—	10	1	no	—
1293	C₄×D₄	—	10	1	no	—
1294	C₄×D₄	—	10	1	no	—
1295	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1296	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1297	#117	—	5	1	no	—
1298	#117	—	5	1	no	—
1299	#117	—	5	1	no	—
1300	#117	—	5	1	no	—
1301	#117	—	10	1	no	—
1302	#117	—	10	1	no	—
1303	#117	—	10	1	no	—
1304	#117	—	10	1	no	—
1305	C₂×C₄⋊C₄	—	5	1	no	—
1306	C₂×C₄⋊C₄	—	5	1	no	—
1307	C₂×C₄⋊C₄	—	10	1	no	—
1308	C₂×C₄⋊C₄	—	10	1	no	—
1309	C₂×C₂²⋊C₄	—	2	1	no	—
1310	C₂×C₂²⋊C₄	—	10	1	no	—
1311	C₂×C₂²⋊C₄	—	10	1	no	—
1312	C₂×C₂²⋊C₄	—	10	1	no	—
1313	C₂×C₂²⋊C₄	—	10	1	no	—
1314	C₂×C₂²⋊C₄	—	10	1	no	—
1315	C₂×C₂²⋊C₄	—	10	1	no	—
1316	C₂×C₂²⋊C₄	—	10	1	no	—
1317	#107	—	5	1	no	—
1318	#107	—	5	1	no	—
1319	#107	—	5	1	no	—
1320	#107	C₂²×D₅	1	1	yes	characteristic, complemented
1321	#106	—	5	1	no	—
1322	#106	—	5	1	no	—
1323	#106	—	5	1	no	—
1324	#106	—	5	1	no	—
1325	C₄⋊C₈	—	5	1	no	—
1326	C₄⋊C₈	—	5	1	no	—
1327	C₄⋊C₈	—	5	1	no	—
1328	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1329	#103	—	5	1	no	—
1330	#103	—	5	1	no	—
1331	#103	—	5	1	no	—
1332	#103	—	5	1	no	—
1333	#103	—	5	1	no	—
1334	#103	—	5	1	no	—
1335	#103	—	5	1	no	—
1336	#103	—	5	1	no	—
1337	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1338	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1339	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1340	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1341	#102	—	5	1	no	—
1342	#102	—	5	1	no	—
1343	#102	—	5	1	no	—
1344	#102	—	5	1	no	—
1345	#102	—	5	1	no	—
1346	#102	—	5	1	no	—
1347	#102	—	5	1	no	—
1348	#102	—	5	1	no	—
1349	#102	—	5	1	no	—
1350	#102	—	5	1	no	—
1351	#102	—	5	1	no	—
1352	#102	—	5	1	no	—
1353	#102	—	5	1	no	—
1354	#102	—	5	1	no	—
1355	#102	—	5	1	no	—
1356	#102	—	5	1	no	—
1357	#102	—	5	1	no	—
1358	#102	—	5	1	no	—
1359	#102	C₂²×D₅	1	1	yes	characteristic
1360	#102	C₂²×D₅	1	1	yes	characteristic
1361	C₂²⋊C₈	—	5	1	no	—
1362	C₂²⋊C₈	—	5	1	no	—
1363	C₂²⋊C₈	—	5	1	no	—
1364	C₂²⋊C₈	—	5	1	no	—
1365	C₂²⋊C₈	—	5	1	no	—
1366	C₂²⋊C₈	—	5	1	no	—
1367	C₂²⋊C₈	—	5	1	no	—
1368	C₂²⋊C₈	—	5	1	no	—
1369	C₂²⋊C₈	—	5	1	no	—
1370	C₂²⋊C₈	—	5	1	no	—
1371	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1372	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1373	#97	—	5	1	no	—
1374	#97	C₂²×D₅	1	1	yes	characteristic, complemented
1375	C₄×C₈	—	5	1	no	—
1376	C₄×C₈	—	5	1	no	—
1377	C₂²×C₅	—	2	1	no	—
1378	C₂²×C₅	—	2	1	no	—
1379	C₂²×C₅	—	2	2	no	—
1380	C₂²×C₅	—	2	1	no	—
1381	C₂²×C₅	—	2	1	no	—
1382	C₂²×C₅	—	2	1	no	—
1383	C₂²×C₅	—	4	1	no	—
1384	C₂²×C₅	—	4	1	no	—
1385	C₂²×C₅	—	4	1	no	—
1386	C₂²×C₅	—	4	1	no	—
1387	C₂²×C₅	—	4	1	no	—
1388	C₂²×C₅	—	8	4	no	—
1389	C₂²×C₅	#577	1	2	yes	—
1390	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1391	C₂×D₅	—	2	1	no	—
1392	C₂×D₅	—	2	1	no	—
1393	C₂×D₅	—	2	1	no	—
1394	C₂×D₅	—	2	1	no	—
1395	C₂×D₅	—	2	2	no	—
1396	C₂×D₅	—	2	1	no	—
1397	C₂×D₅	—	2	1	no	—
1398	C₂×D₅	—	2	1	no	—
1399	C₂×D₅	—	2	1	no	—
1400	C₂×D₅	—	4	4	no	—
1401	C₂×D₅	—	4	1	no	—
1402	C₂×D₅	—	4	1	no	—
1403	C₂×D₅	—	4	1	no	—
1404	C₂×D₅	—	4	1	no	—
1405	C₂×D₅	—	4	1	no	—
1406	C₂×D₅	—	4	1	no	—
1407	C₂×D₅	—	4	1	no	—
1408	C₂×D₅	—	4	1	no	—
1409	C₂×D₅	—	8	4	no	—
1410	C₂×D₅	—	8	4	no	—
1411	C₂×D₅	—	8	4	no	—
1412	C₂×D₅	—	8	4	no	—
1413	C₂×D₅	—	8	4	no	—
1414	C₂×D₅	—	16	2	no	—
1415	C₂×D₅	—	16	2	no	—
1416	C₂×D₅	#577	1	2	yes	—
1417	C₄×C₅	—	2	1	no	—
1418	C₄×C₅	—	2	1	no	—
1419	C₄×C₅	—	2	1	no	—
1420	C₄×C₅	—	2	1	no	—
1421	C₄×C₅	—	4	1	no	—
1422	C₄×C₅	—	4	1	no	—
1423	C₄×C₅	—	4	1	no	—
1424	C₄×C₅	—	4	1	no	—
1425	C₄×C₅	—	4	1	no	—
1426	C₄×C₅	—	4	1	no	—
1427	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1428	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1429	Dic₅	—	2	1	no	—
1430	Dic₅	—	2	1	no	—
1431	Dic₅	—	2	1	no	—
1432	Dic₅	—	2	1	no	—
1433	Dic₅	—	2	1	no	—
1434	Dic₅	—	4	1	no	—
1435	Dic₅	—	4	1	no	—
1436	Dic₅	—	4	1	no	—
1437	Dic₅	—	4	1	no	—
1438	Dic₅	—	4	1	no	—
1439	C₂⁴	—	2	1	no	—
1440	C₂⁴	—	5	1	no	—
1441	C₂⁴	—	10	1	no	—
1442	C₂⁴	—	10	1	no	—
1443	C₂⁴	—	10	1	no	—
1444	C₂⁴	—	10	1	no	—
1445	C₂⁴	—	10	1	no	—
1446	C₂⁴	—	10	1	no	—
1447	C₂⁴	—	10	1	no	—
1448	C₂⁴	—	20	4	no	—
1449	C₂⁴	—	40	2	no	—
1450	C₂⁴	—	40	2	no	—
1451	#41	—	2	2	no	—
1452	#41	—	4	1	no	—
1453	#41	—	10	2	no	—
1454	#41	—	20	1	no	—
1455	#41	—	20	1	no	—
1456	#41	—	20	4	no	—
1457	#41	—	20	1	no	—
1458	#41	—	20	1	no	—
1459	#41	—	20	1	no	—
1460	C₂×Q₈	—	2	1	no	—
1461	C₂×Q₈	—	2	1	no	—
1462	C₂×Q₈	—	4	1	no	—
1463	C₂×Q₈	—	4	1	no	—
1464	C₂×Q₈	—	4	1	no	—
1465	C₂×Q₈	—	4	1	no	—
1466	C₂×Q₈	—	5	1	no	—
1467	C₂×Q₈	—	5	1	no	—
1468	C₂×Q₈	—	10	1	no	—
1469	C₂×Q₈	—	10	1	no	—
1470	C₂×Q₈	—	20	1	no	—
1471	C₂×Q₈	—	20	1	no	—
1472	C₂×Q₈	—	20	1	no	—
1473	C₂×Q₈	—	20	1	no	—
1474	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1475	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1476	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1477	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1478	C₂×D₄	—	2	2	no	—
1479	C₂×D₄	—	2	1	no	—
1480	C₂×D₄	—	2	1	no	—
1481	C₂×D₄	—	2	1	no	—
1482	C₂×D₄	—	4	1	no	—
1483	C₂×D₄	—	5	1	no	—
1484	C₂×D₄	—	5	1	no	—
1485	C₂×D₄	—	5	1	no	—
1486	C₂×D₄	—	5	1	no	—
1487	C₂×D₄	—	5	1	no	—
1488	C₂×D₄	—	5	1	no	—
1489	C₂×D₄	—	5	1	no	—
1490	C₂×D₄	—	5	1	no	—
1491	C₂×D₄	—	5	1	no	—
1492	C₂×D₄	—	10	2	no	—
1493	C₂×D₄	—	10	2	no	—
1494	C₂×D₄	—	10	1	no	—
1495	C₂×D₄	—	10	1	no	—
1496	C₂×D₄	—	10	1	no	—
1497	C₂×D₄	—	10	1	no	—
1498	C₂×D₄	—	10	1	no	—
1499	C₂×D₄	—	10	1	no	—
1500	C₂×D₄	—	10	1	no	—
1501	C₂×D₄	—	10	1	no	—
1502	C₂×D₄	—	10	1	no	—
1503	C₂×D₄	—	10	1	no	—
1504	C₂×D₄	—	10	1	no	—
1505	C₂×D₄	—	10	2	no	—
1506	C₂×D₄	—	10	2	no	—
1507	C₂×D₄	—	10	2	no	—
1508	C₂×D₄	—	10	2	no	—
1509	C₂×D₄	—	10	2	no	—
1510	C₂×D₄	—	10	1	no	—
1511	C₂×D₄	—	10	1	no	—
1512	C₂×D₄	—	10	1	no	—
1513	C₂×D₄	—	10	1	no	—
1514	C₂×D₄	—	10	1	no	—
1515	C₂×D₄	—	10	1	no	—
1516	C₂×D₄	—	10	1	no	—
1517	C₂×D₄	—	20	1	no	—
1518	C₂×D₄	—	20	1	no	—
1519	C₂×D₄	—	20	4	no	—
1520	C₂×D₄	—	20	1	no	—
1521	C₂×D₄	—	20	1	no	—
1522	C₂×D₄	—	20	1	no	—
1523	C₂×D₄	—	20	1	no	—
1524	C₂×D₄	—	20	1	no	—
1525	C₂×D₄	—	20	4	no	—
1526	C₂×D₄	—	20	4	no	—
1527	C₂×D₄	—	20	4	no	—
1528	C₂×D₄	—	20	4	no	—
1529	C₂×D₄	—	20	4	no	—
1530	C₂×D₄	—	40	2	no	—
1531	C₂×D₄	—	40	2	no	—
1532	C₂×D₄	—	40	2	no	—
1533	C₂×D₄	—	40	2	no	—
1534	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1535	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1536	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1537	C₂²×C₄	—	2	1	no	—
1538	C₂²×C₄	—	2	1	no	—
1539	C₂²×C₄	—	2	1	no	—
1540	C₂²×C₄	—	2	1	no	—
1541	C₂²×C₄	—	5	1	no	—
1542	C₂²×C₄	—	5	1	no	—
1543	C₂²×C₄	—	5	1	no	—
1544	C₂²×C₄	—	5	1	no	—
1545	C₂²×C₄	—	5	1	no	—
1546	C₂²×C₄	—	5	1	no	—
1547	C₂²×C₄	—	10	1	no	—
1548	C₂²×C₄	—	10	1	no	—
1549	C₂²×C₄	—	10	1	no	—
1550	C₂²×C₄	—	10	1	no	—
1551	C₂²×C₄	—	10	1	no	—
1552	C₂²×C₄	—	10	1	no	—
1553	C₂²×C₄	—	10	1	no	—
1554	C₂²×C₄	—	10	1	no	—
1555	C₂²×C₄	—	10	1	no	—
1556	C₂²×C₄	—	20	1	no	—
1557	C₂²×C₄	—	20	1	no	—
1558	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1559	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1560	Q₁₆	—	4	1	no	—
1561	Q₁₆	—	4	1	no	—
1562	Q₁₆	—	4	1	no	—
1563	Q₁₆	—	20	1	no	—
1564	SD₁₆	—	2	2	no	—
1565	SD₁₆	—	2	2	no	—
1566	SD₁₆	—	2	2	no	—
1567	SD₁₆	—	4	1	no	—
1568	SD₁₆	—	4	1	no	—
1569	SD₁₆	—	4	1	no	—
1570	SD₁₆	—	10	2	no	—
1571	SD₁₆	—	10	2	no	—
1572	SD₁₆	—	10	2	no	—
1573	SD₁₆	—	10	2	no	—
1574	SD₁₆	—	10	2	no	—
1575	SD₁₆	—	20	1	no	—
1576	SD₁₆	—	20	1	no	—
1577	SD₁₆	—	20	1	no	—
1578	SD₁₆	—	20	1	no	—
1579	SD₁₆	—	20	1	no	—
1580	SD₁₆	—	20	1	no	—
1581	SD₁₆	—	20	1	no	—
1582	SD₁₆	—	20	1	no	—
1583	SD₁₆	—	20	1	no	—
1584	M₁₆	—	4	1	no	—
1585	M₁₆	—	20	1	no	—
1586	C₂×C₈	—	4	1	no	—
1587	C₂×C₈	—	5	1	no	—
1588	C₂×C₈	—	5	1	no	—
1589	C₂×C₈	—	5	1	no	—
1590	C₂×C₈	—	5	1	no	—
1591	C₂×C₈	—	20	1	no	—
1592	C₂×C₈	—	20	1	no	—
1593	C₂×C₈	—	20	1	no	—
1594	C₂×C₈	—	20	1	no	—
1595	C₂×C₈	—	20	1	no	—
1596	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1597	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1598	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1599	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1600	C₄⋊C₄	—	2	1	no	—
1601	C₄⋊C₄	—	2	1	no	—
1602	C₄⋊C₄	—	2	1	no	—
1603	C₄⋊C₄	—	2	1	no	—
1604	C₄⋊C₄	—	2	1	no	—
1605	C₄⋊C₄	—	2	1	no	—
1606	C₄⋊C₄	—	5	1	no	—
1607	C₄⋊C₄	—	5	1	no	—
1608	C₄⋊C₄	—	5	1	no	—
1609	C₄⋊C₄	—	5	1	no	—
1610	C₄⋊C₄	—	5	1	no	—
1611	C₄⋊C₄	—	5	1	no	—
1612	C₄⋊C₄	—	5	1	no	—
1613	C₄⋊C₄	—	5	1	no	—
1614	C₄⋊C₄	—	5	1	no	—
1615	C₄⋊C₄	—	10	1	no	—
1616	C₄⋊C₄	—	10	1	no	—
1617	C₄⋊C₄	—	10	1	no	—
1618	C₄⋊C₄	—	10	1	no	—
1619	C₄⋊C₄	—	10	1	no	—
1620	C₄⋊C₄	—	10	1	no	—
1621	C₄⋊C₄	—	10	1	no	—
1622	C₄⋊C₄	—	10	1	no	—
1623	C₄⋊C₄	—	10	1	no	—
1624	C₄⋊C₄	—	10	1	no	—
1625	C₄⋊C₄	—	10	1	no	—
1626	C₄⋊C₄	—	10	1	no	—
1627	C₄⋊C₄	—	10	1	no	—
1628	C₄⋊C₄	—	10	1	no	—
1629	C₄⋊C₄	—	10	1	no	—
1630	C₄⋊C₄	—	10	1	no	—
1631	C₄⋊C₄	—	10	1	no	—
1632	C₄⋊C₄	—	10	1	no	—
1633	C₄⋊C₄	—	10	1	no	—
1634	C₄⋊C₄	—	10	1	no	—
1635	C₄⋊C₄	—	10	1	no	—
1636	C₄⋊C₄	—	10	1	no	—
1637	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1638	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1639	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1640	C₂²⋊C₄	—	2	1	no	—
1641	C₂²⋊C₄	—	2	1	no	—
1642	C₂²⋊C₄	—	2	1	no	—
1643	C₂²⋊C₄	—	2	1	no	—
1644	C₂²⋊C₄	—	2	1	no	—
1645	C₂²⋊C₄	—	2	1	no	—
1646	C₂²⋊C₄	—	2	1	no	—
1647	C₂²⋊C₄	—	5	1	no	—
1648	C₂²⋊C₄	—	5	1	no	—
1649	C₂²⋊C₄	—	5	1	no	—
1650	C₂²⋊C₄	—	5	1	no	—
1651	C₂²⋊C₄	—	5	1	no	—
1652	C₂²⋊C₄	—	5	1	no	—
1653	C₂²⋊C₄	—	5	1	no	—
1654	C₂²⋊C₄	—	5	1	no	—
1655	C₂²⋊C₄	—	10	1	no	—
1656	C₂²⋊C₄	—	10	1	no	—
1657	C₂²⋊C₄	—	10	1	no	—
1658	C₂²⋊C₄	—	10	1	no	—
1659	C₂²⋊C₄	—	10	1	no	—
1660	C₂²⋊C₄	—	10	1	no	—
1661	C₂²⋊C₄	—	10	1	no	—
1662	C₂²⋊C₄	—	10	1	no	—
1663	C₂²⋊C₄	—	10	1	no	—
1664	C₂²⋊C₄	—	10	1	no	—
1665	C₂²⋊C₄	—	10	1	no	—
1666	C₂²⋊C₄	—	10	1	no	—
1667	C₂²⋊C₄	—	10	1	no	—
1668	C₂²⋊C₄	—	10	1	no	—
1669	C₂²⋊C₄	—	10	1	no	—
1670	C₂²⋊C₄	—	10	1	no	—
1671	C₂²⋊C₄	—	10	1	no	—
1672	C₂²⋊C₄	—	10	1	no	—
1673	C₂²⋊C₄	—	10	1	no	—
1674	C₂²⋊C₄	—	10	1	no	—
1675	C₂²⋊C₄	—	10	1	no	—
1676	C₂²⋊C₄	—	10	1	no	—
1677	C₂²⋊C₄	—	10	1	no	—
1678	C₂²⋊C₄	—	10	1	no	—
1679	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1680	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1681	C₄²	—	2	1	no	—
1682	C₄²	—	5	1	no	—
1683	C₄²	—	10	1	no	—
1684	C₄²	—	10	1	no	—
1685	C₄²	—	10	1	no	—
1686	C₄²	—	10	1	no	—
1687	C₄²	—	10	1	no	—
1688	C₄²	—	10	1	no	—
1689	C₄²	C₂³×D₅	1	1	yes	characteristic
1690	C₂×C₅	—	2	2	no	—
1691	C₂×C₅	—	4	2	no	—
1692	C₂×C₅	—	4	1	no	—
1693	C₂×C₅	—	8	1	no	—
1694	C₂×C₅	#3484	1	1	yes	characteristic
1695	C₂×C₅	C₂×#577	1	1	yes	characteristic
1696	C₂×C₅	C₂×#577	1	1	yes	characteristic
1697	D₅	—	2	2	no	—
1698	D₅	—	4	1	no	—
1699	D₅	—	4	1	no	—
1700	D₅	—	4	2	no	—
1701	D₅	—	8	1	no	—
1702	D₅	—	8	1	no	—
1703	C₂³	—	2	1	no	—
1704	C₂³	—	2	1	no	—
1705	C₂³	—	4	2	no	—
1706	C₂³	—	4	2	no	—
1707	C₂³	—	5	1	no	—
1708	C₂³	—	5	1	no	—
1709	C₂³	—	5	1	no	—
1710	C₂³	—	8	1	no	—
1711	C₂³	—	10	2	no	—
1712	C₂³	—	10	4	no	—
1713	C₂³	—	10	2	no	—
1714	C₂³	—	10	1	no	—
1715	C₂³	—	10	1	no	—
1716	C₂³	—	10	1	no	—
1717	C₂³	—	20	1	no	—
1718	C₂³	—	20	2	no	—
1719	C₂³	—	20	2	no	—
1720	C₂³	—	20	2	no	—
1721	C₂³	—	20	2	no	—
1722	C₂³	—	20	2	no	—
1723	C₂³	—	20	2	no	—
1724	C₂³	—	20	2	no	—
1725	C₂³	—	20	2	no	—
1726	C₂³	—	20	2	no	—
1727	C₂³	—	40	1	no	—
1728	C₂³	—	40	1	no	—
1729	C₂³	—	40	1	no	—
1730	C₂³	—	40	1	no	—
1731	C₂³	—	40	1	no	—
1732	C₂³	—	40	1	no	—
1733	C₂³	—	40	1	no	—
1734	C₂³	—	40	1	no	—
1735	C₂³	—	40	1	no	—
1736	C₂³	—	40	1	no	—
1737	C₂³	—	40	1	no	—
1738	C₂³	—	40	16	no	—
1739	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1740	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1741	Q₈	—	2	1	no	—
1742	Q₈	—	2	1	no	—
1743	Q₈	—	2	1	no	—
1744	Q₈	—	2	1	no	—
1745	Q₈	—	2	1	no	—
1746	Q₈	—	2	1	no	—
1747	Q₈	—	2	1	no	—
1748	Q₈	—	2	1	no	—
1749	Q₈	—	8	1	no	—
1750	Q₈	—	8	1	no	—
1751	Q₈	—	10	1	no	—
1752	Q₈	—	10	1	no	—
1753	Q₈	—	20	1	no	—
1754	Q₈	—	40	1	no	—
1755	Q₈	—	40	1	no	—
1756	D₄	—	2	2	no	—
1757	D₄	—	2	1	no	—
1758	D₄	—	2	1	no	—
1759	D₄	—	2	1	no	—
1760	D₄	—	4	2	no	—
1761	D₄	—	4	2	no	—
1762	D₄	—	5	2	no	—
1763	D₄	—	8	1	no	—
1764	D₄	—	10	2	no	—
1765	D₄	—	10	2	no	—
1766	D₄	—	10	4	no	—
1767	D₄	—	10	2	no	—
1768	D₄	—	10	1	no	—
1769	D₄	—	10	1	no	—
1770	D₄	—	10	1	no	—
1771	D₄	—	10	1	no	—
1772	D₄	—	10	1	no	—
1773	D₄	—	20	1	no	—
1774	D₄	—	20	2	no	—
1775	D₄	—	20	2	no	—
1776	D₄	—	20	2	no	—
1777	D₄	—	20	2	no	—
1778	D₄	—	20	2	no	—
1779	D₄	—	20	1	no	—
1780	D₄	—	20	1	no	—
1781	D₄	—	20	2	no	—
1782	D₄	—	20	2	no	—
1783	D₄	—	20	2	no	—
1784	D₄	—	20	2	no	—
1785	D₄	—	20	2	no	—
1786	D₄	—	40	1	no	—
1787	D₄	—	40	1	no	—
1788	D₄	—	40	1	no	—
1789	D₄	—	40	1	no	—
1790	D₄	—	40	1	no	—
1791	D₄	—	40	1	no	—
1792	D₄	—	40	1	no	—
1793	D₄	#4144	1	2	yes	—
1794	C₂×C₄	—	2	1	no	—
1795	C₂×C₄	—	2	1	no	—
1796	C₂×C₄	—	2	1	no	—
1797	C₂×C₄	—	2	1	no	—
1798	C₂×C₄	—	2	1	no	—
1799	C₂×C₄	—	2	1	no	—
1800	C₂×C₄	—	2	1	no	—
1801	C₂×C₄	—	2	1	no	—
1802	C₂×C₄	—	2	1	no	—
1803	C₂×C₄	—	2	1	no	—
1804	C₂×C₄	—	4	2	no	—
1805	C₂×C₄	—	5	1	no	—
1806	C₂×C₄	—	5	1	no	—
1807	C₂×C₄	—	5	1	no	—
1808	C₂×C₄	—	5	1	no	—
1809	C₂×C₄	—	5	1	no	—
1810	C₂×C₄	—	8	1	no	—
1811	C₂×C₄	—	8	1	no	—
1812	C₂×C₄	—	8	1	no	—
1813	C₂×C₄	—	10	1	no	—
1814	C₂×C₄	—	10	1	no	—
1815	C₂×C₄	—	10	1	no	—
1816	C₂×C₄	—	10	1	no	—
1817	C₂×C₄	—	10	1	no	—
1818	C₂×C₄	—	10	1	no	—
1819	C₂×C₄	—	10	1	no	—
1820	C₂×C₄	—	10	1	no	—
1821	C₂×C₄	—	10	1	no	—
1822	C₂×C₄	—	10	1	no	—
1823	C₂×C₄	—	10	1	no	—
1824	C₂×C₄	—	20	1	no	—
1825	C₂×C₄	—	20	1	no	—
1826	C₂×C₄	—	20	2	no	—
1827	C₂×C₄	—	20	2	no	—
1828	C₂×C₄	—	20	2	no	—
1829	C₂×C₄	—	20	1	no	—
1830	C₂×C₄	—	20	2	no	—
1831	C₂×C₄	—	40	1	no	—
1832	C₂×C₄	—	40	1	no	—
1833	C₂×C₄	—	40	1	no	—
1834	C₂×C₄	—	40	1	no	—
1835	C₂×C₄	—	40	1	no	—
1836	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1837	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1838	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1839	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1840	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1841	C₈	—	2	1	no	—
1842	C₈	—	2	1	no	—
1843	C₈	—	2	1	no	—
1844	C₈	—	2	1	no	—
1845	C₈	—	10	1	no	—
1846	C₈	—	10	1	no	—
1847	C₈	—	10	1	no	—
1848	C₈	—	10	1	no	—
1849	C₅	#61631	1	1	yes	characteristic, complemented, Sylow
1850	C₂²	—	2	1	no	—
1851	C₂²	—	2	1	no	—
1852	C₂²	—	2	1	no	—
1853	C₂²	—	2	2	no	—
1854	C₂²	—	2	1	no	—
1855	C₂²	—	2	1	no	—
1856	C₂²	—	4	1	no	—
1857	C₂²	—	4	1	no	—
1858	C₂²	—	4	1	no	—
1859	C₂²	—	4	1	no	—
1860	C₂²	—	4	1	no	—
1861	C₂²	—	5	2	no	—
1862	C₂²	—	8	4	no	—
1863	C₂²	—	10	1	no	—
1864	C₂²	—	10	1	no	—
1865	C₂²	—	10	1	no	—
1866	C₂²	—	10	1	no	—
1867	C₂²	—	10	2	no	—
1868	C₂²	—	10	1	no	—
1869	C₂²	—	10	1	no	—
1870	C₂²	—	10	1	no	—
1871	C₂²	—	10	1	no	—
1872	C₂²	—	20	4	no	—
1873	C₂²	—	20	1	no	—
1874	C₂²	—	20	1	no	—
1875	C₂²	—	20	1	no	—
1876	C₂²	—	20	1	no	—
1877	C₂²	—	20	1	no	—
1878	C₂²	—	20	1	no	—
1879	C₂²	—	20	1	no	—
1880	C₂²	—	20	1	no	—
1881	C₂²	—	40	4	no	—
1882	C₂²	—	40	4	no	—
1883	C₂²	—	40	4	no	—
1884	C₂²	—	40	4	no	—
1885	C₂²	—	40	4	no	—
1886	C₂²	—	80	2	no	—
1887	C₂²	—	80	2	no	—
1888	C₂²	#66112	1	2	yes	—
1889	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1890	C₄	—	2	1	no	—
1891	C₄	—	2	1	no	—
1892	C₄	—	2	1	no	—
1893	C₄	—	2	1	no	—
1894	C₄	—	4	1	no	—
1895	C₄	—	4	1	no	—
1896	C₄	—	4	1	no	—
1897	C₄	—	4	1	no	—
1898	C₄	—	4	1	no	—
1899	C₄	—	4	1	no	—
1900	C₄	—	10	1	no	—
1901	C₄	—	10	1	no	—
1902	C₄	—	10	1	no	—
1903	C₄	—	10	1	no	—
1904	C₄	—	10	1	no	—
1905	C₄	—	20	1	no	—
1906	C₄	—	20	1	no	—
1907	C₄	—	20	1	no	—
1908	C₄	—	20	1	no	—
1909	C₄	—	20	1	no	—
1910	C₄	C₂×#4144	1	1	yes	characteristic
1911	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1912	C₂	—	2	2	no	—
1913	C₂	—	4	1	no	—
1914	C₂	—	4	2	no	—
1915	C₂	—	8	1	no	—
1916	C₂	—	10	2	no	—
1917	C₂	—	20	1	no	—
1918	C₂	—	20	1	no	—
1919	C₂	—	20	2	no	—
1920	C₂	—	40	1	no	—
1921	C₂	—	40	1	no	—
1922	C₂	#10618521	1	1	yes	characteristic
1923	C₂	C₂×#66112	1	1	yes	characteristic
1924	C₂	D₅×#577	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3266	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10618563	C₂
hypercenter	#3266	D₅
hypocenter	C₅	#61631
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3266

Complements

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

N	H ≅ G/N	type
1. #10618663	C₂	semidirect
3. C₅×#3266	C₂	semidirect
4. #10615718	C₂	semidirect
5. #10615713	C₂	semidirect
6. SD₁₆×C₂²⋊D₅	C₂	semidirect
7. C₂×#65458	C₂	semidirect
8. D₄×#688	C₂	semidirect
9. #10615225	C₂	semidirect
10. #10613612	C₂	semidirect
11. #10613609	C₂	semidirect
12. #10612552	C₂	semidirect
13. #10612547	C₂	semidirect
14. #10612506	C₂	semidirect
15. #10612495	C₂	semidirect
16. #10612346	C₂	semidirect
17. #10612339	C₂	semidirect
18. #10612179	C₂	semidirect
19. #10612144	C₂	semidirect
20. #10611977	C₂	semidirect
21. #10611960	C₂	semidirect
22. #10611935	C₂	semidirect
23. #10611919	C₂	semidirect
24. #10611891	C₂	semidirect
25. D₅×#450	C₂	semidirect
26. #10611794	C₂	semidirect
27. #10611778	C₂	semidirect
28. #10611531	C₂	semidirect
29. #10611518	C₂	semidirect
30. #10611232	C₂	semidirect
31. #10611220	C₂	semidirect
34. C₂×C₅×#137	C₂²	semidirect
35. C₂²×C₅×SD₁₆	C₂²	semidirect
36. C₅×D₄×Q₈	C₂²	semidirect
39. #66150	C₂²	semidirect
40. Q₈×C₂²⋊D₅	C₂²	semidirect
41. Q₈×C₂²⋊D₅	C₂²	semidirect
42. C₂×#4092	C₂²	semidirect
43. C₂²×#688	C₂²	semidirect
44. C₂²×#688	C₂²	semidirect
46. C₂×#4064	C₂²	semidirect
47. C₂×D₅×SD₁₆	C₂²	semidirect
48. C₂×D₅×SD₁₆	C₂²	semidirect
49. C₂×D₅×SD₁₆	C₂²	semidirect
51. #66065	C₂²	semidirect
53. #66061	C₂²	semidirect
59. #65976	C₂²	semidirect
60. #65973	C₂²	semidirect
64. #65962	C₂²	semidirect
66. D₅×C₂²⋊Q₈	C₂²	semidirect
74. #65917	C₂²	semidirect
75. #65915	C₂²	semidirect
82. #65875	C₂²	semidirect
85. C₅×#497	C₂²	semidirect
86. C₅×#468	C₂²	semidirect
87. C₅×#467	C₂²	semidirect
88. C₅×#464	C₂²	semidirect
89. C₅×#461	C₂²	semidirect
90. C₅×#452	C₂²	semidirect
91. C₅×#451	C₂²	semidirect
92. C₅×#450	C₂²	semidirect
93. C₅×#448	C₂²	semidirect
94. C₅×#440	C₂²	semidirect
95. C₅×#435	C₂²	semidirect
96. #65528	C₂²	semidirect
97. #65522	C₂²	semidirect
98. #65516	C₂²	semidirect
99. #65516	C₂²	semidirect
100. #65507	C₂²	semidirect
101. C₂×#3964	C₂²	semidirect
102. #65479	C₂²	semidirect
103. #65477	C₂²	semidirect
104. #65477	C₂²	semidirect
105. #65476	C₂²	semidirect
106. #65476	C₂²	semidirect
107. #65476	C₂²	semidirect
108. #65476	C₂²	semidirect
109. #65476	C₂²	semidirect
110. #65475	C₂²	semidirect
111. #65474	C₂²	semidirect
112. #65474	C₂²	semidirect
113. #65464	C₂²	semidirect
114. #65463	C₂²	semidirect
115. #65460	C₂²	semidirect
116. #65459	C₂²	semidirect
120. #65458	C₂²	semidirect
121. #65458	C₂²	semidirect
122. #65458	C₂²	semidirect
123. #65458	C₂²	semidirect
124. #65458	C₂²	semidirect
125. #65458	C₂²	semidirect
126. #65458	C₂²	semidirect
127. #65458	C₂²	semidirect
128. #65458	C₂²	semidirect
129. #65453	C₂²	semidirect
130. #65452	C₂²	semidirect
131. #65452	C₂²	semidirect
132. #65451	C₂²	semidirect
133. SD₁₆×Dic₅	C₂²	semidirect
134. #65423	C₂²	semidirect
135. #65420	C₂²	semidirect
136. #65418	C₂²	semidirect
137. #65416	C₂²	semidirect
138. #65403	C₂²	semidirect
139. C₂×#3953	C₂²	semidirect
140. C₈×C₂²⋊D₅	C₂²	semidirect
141. C₂×#3952	C₂²	semidirect
142. #65374	C₂²	semidirect
143. #65372	C₂²	semidirect
144. #65345	C₂²	semidirect
145. #65343	C₂²	semidirect
146. #65340	C₂²	semidirect
147. #65337	C₂²	semidirect
148. #65337	C₂²	semidirect
149. #65335	C₂²	semidirect
150. #65335	C₂²	semidirect
151. #65332	C₂²	semidirect
152. #65330	C₂²	semidirect
153. #65324	C₂²	semidirect
154. #65316	C₂²	semidirect
155. C₄×#688	C₂²	semidirect
156. C₄×#687	C₂²	semidirect
157. D₄×#168	C₂²	semidirect
158. #65298	C₂²	semidirect
159. #65180	C₂²	semidirect
160. #65177	C₂²	semidirect
161. #65174	C₂²	semidirect
162. #65171	C₂²	semidirect
163. #65137	C₂²	semidirect
164. #65136	C₂²	semidirect
165. #65129	C₂²	semidirect
166. #65123	C₂²	semidirect
167. #65107	C₂²	semidirect
168. #65106	C₂²	semidirect
169. #65104	C₂²	semidirect
170. #65103	C₂²	semidirect
171. #65103	C₂²	semidirect
172. #65101	C₂²	semidirect
173. #65099	C₂²	semidirect
174. #65096	C₂²	semidirect
175. #65096	C₂²	semidirect
176. #65096	C₂²	semidirect
177. #65095	C₂²	semidirect
178. #65095	C₂²	semidirect
179. #65094	C₂²	semidirect
180. #65093	C₂²	semidirect
181. #65089	C₂²	semidirect
182. #65077	C₂²	semidirect
183. #65073	C₂²	semidirect
185. #65065	C₂²	semidirect
186. #65059	C₂²	semidirect
187. D₅×#102	C₂²	semidirect
188. D₅×#102	C₂²	semidirect
189. #65055	C₂²	semidirect
190. #65053	C₂²	semidirect
191. #65026	C₂²	semidirect
192. #65025	C₂²	semidirect
193. #65020	C₂²	semidirect
194. #65020	C₂²	semidirect
195. #65019	C₂²	semidirect
196. #65016	C₂²	semidirect
197. #65014	C₂²	semidirect
198. D₅×C₂²⋊C₈	C₂²	semidirect
199. #65002	C₂²	semidirect
200. #64999	C₂²	semidirect
201. #64998	C₂²	semidirect
202. #64995	C₂²	semidirect
207. C₂²×C₅×Q₈	C₂³	semidirect
216. C₂×Q₈×D₅	C₂³	semidirect
238. C₂×C₅×Q₁₆	C₂³	semidirect
239. C₂×C₅×Q₁₆	C₂³	semidirect
240. C₂×C₅×Q₁₆	C₂³	semidirect
248. C₂×C₅×M₁₆	C₂³	semidirect
251. C₅×C₄⋊Q₈	C₂³	semidirect
258. C₅×C₂²⋊Q₈	C₂³	semidirect
262. C₄×C₅×Q₈	C₂³	semidirect
280. #4092	C₂³	semidirect
281. #4092	C₂³	semidirect
282. Q₈×Dic₅	C₂³	semidirect
283. Q₈×Dic₅	C₂³	semidirect
287. #4090	C₂³	semidirect
288. C₂×#689	C₂³	semidirect
297. C₂×#688	C₂³	semidirect
298. C₂×#688	C₂³	semidirect
299. C₂×#688	C₂³	semidirect
329. #4072	C₂³	semidirect
334. #4070	C₂³	semidirect
337. C₂²×#168	C₂³	semidirect
344. C₂×#677	C₂³	semidirect
345. C₂×#676	C₂³	semidirect
348. C₂×C₈×D₅	C₂³	semidirect
372. #4038	C₂³	semidirect
376. #4036	C₂³	semidirect
429. #4016	C₂³	semidirect
430. C₄×Dic₁₀	C₂³	semidirect
431. C₅×#107	C₂³	semidirect
432. C₅×C₄⋊C₈	C₂³	semidirect
433. C₅×#103	C₂³	semidirect
434. C₅×#103	C₂³	semidirect
435. C₅×#103	C₂³	semidirect
436. C₅×#103	C₂³	semidirect
440. C₅×C₂²⋊C₈	C₂³	semidirect
441. C₅×#97	C₂³	semidirect
442. #3967	C₂³	semidirect
443. #3967	C₂³	semidirect
444. #3967	C₂³	semidirect
445. #3967	C₂³	semidirect
446. #3967	C₂³	semidirect
447. #3967	C₂³	semidirect
455. C₂²⋊#168	C₂³	semidirect
462. #3953	C₂³	semidirect
463. #3953	C₂³	semidirect
464. #3953	C₂³	semidirect
471. #3952	C₂³	semidirect
472. #3952	C₂³	semidirect
473. #3950	C₂³	semidirect
474. #3950	C₂³	semidirect
475. #3949	C₂³	semidirect
476. #3948	C₂³	semidirect
477. #3947	C₂³	semidirect
478. #3946	C₂³	semidirect
479. #3946	C₂³	semidirect
480. C₈×Dic₅	C₂³	semidirect
481. #3942	C₂³	semidirect
484. #3941	C₂³	semidirect
485. #3940	C₂³	semidirect
486. #3940	C₂³	semidirect
487. #3940	C₂³	semidirect
488. #3939	C₂³	semidirect
489. C₄⋊#168	C₂³	semidirect
490. C₄×#168	C₂³	semidirect
508. #3266	D₅	semidirect
776. C₂×#137	C₂×D₅	semidirect
782. C₂²×SD₁₆	C₂×D₅	semidirect
794. D₄×Q₈	C₂×D₅	semidirect
827. #497	C₂×D₅	semidirect
853. #468	C₂×D₅	semidirect
857. #467	C₂×D₅	semidirect
869. #464	C₂×D₅	semidirect
873. #461	C₂×D₅	semidirect
885. #452	C₂×D₅	semidirect
887. #451	C₂×D₅	semidirect
907. #450	C₂×D₅	semidirect
913. #448	C₂×D₅	semidirect
917. #440	C₂×D₅	semidirect
925. #435	C₂×D₅	semidirect
1101. C₂²×Q₈	C₂²×D₅	semidirect
1126. C₂×Q₁₆	C₂²×D₅	semidirect
1127. C₂×Q₁₆	C₂²×D₅	semidirect
1128. C₂×Q₁₆	C₂²×D₅	semidirect
1156. C₂×M₁₆	C₂²×D₅	semidirect
1170. C₄⋊Q₈	C₂²×D₅	semidirect
1239. C₂²⋊Q₈	C₂²×D₅	semidirect
1280. C₄×Q₈	C₂²×D₅	semidirect
1320. #107	C₂²×D₅	semidirect
1328. C₄⋊C₈	C₂²×D₅	semidirect
1337. #103	C₂²×D₅	semidirect
1338. #103	C₂²×D₅	semidirect
1339. #103	C₂²×D₅	semidirect
1340. #103	C₂²×D₅	semidirect
1372. C₂²⋊C₈	C₂²×D₅	semidirect
1374. #97	C₂²×D₅	semidirect
1849. C₅	#61631	semidirect

Maximal subgroups

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

subgroup	index
#10618663	2
#10618563	2
C₅×#3266	2
#10615718	2
#10615713	2
SD₁₆×C₂²⋊D₅	2
C₂×#65458	2
D₄×#688	2
#10615225	2
#10613612	2
#10613609	2
#10612552	2
#10612547	2
#10612506	2
#10612495	2
#10612346	2
#10612339	2
#10612179	2
#10612144	2
#10611977	2
#10611960	2
#10611935	2
#10611919	2
#10611891	2
D₅×#450	2
#10611794	2
#10611778	2
#10611531	2
#10611518	2
#10611232	2
#10611220	2
#61631	5