Finite Group Databasebeta

← Group #13180748

Character table — Group #13180748

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122222222666889912121212121212121212121212161616161616161624242424545454727210811222222226668899121212121212121212121212121616161616161616242424245454547272108
order1233336666488364421212121224242424242424243333666666662881212422666666664886644212121212242424242424242466666666666628812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-11111111111111111111111111-1-1-1-1-1-1111111111111111-1-11111111111111111111111111-1-1-1-1-1-1
χ311111111111-1-11111-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111-111111111111-1-11111-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111-1
χ411111111111-1-111-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1111111111111-1-111-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-11
χ52222222222200-1-1220222200000000-1-1-1-1-1-1-1-10000200-1-102222222222200-1-1220222200000000-1-1-1-1-1-1-1-10000200-1-10
χ62222222222200-1-1-2-20222200000000-1-1-1-1-1-1-1-10000-2001102222222222200-1-1-2-20222200000000-1-1-1-1-1-1-1-10000-200110
χ7222-1-1-12-1-1-1222220022-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-1000000222-1-1-12-1-1-1222220022-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-1000000
χ8222-1-1-12-1-1-12-2-22200-22-1-1-1-2-21111112-1-1-12-1-1-1-2111000000222-1-1-12-1-1-12-2-22200-22-1-1-1-2-21111112-1-1-12-1-1-1-2111000000
χ922-12-1-1-12-1-122222002-12-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-100000022-12-1-1-12-1-122222002-12-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1000000
χ1022-12-1-1-12-1-12-2-22200-2-12-1-111-2-21111-12-1-1-12-1-11-21100000022-12-1-1-12-1-12-2-22200-2-12-1-111-2-21111-12-1-1-12-1-11-211000000
χ1122-1-12-1-1-12-122222002-1-12-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-100000022-1-12-1-1-12-122222002-1-12-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1000000
χ1222-1-12-1-1-12-12-2-22200-2-1-12-11111-2-211-1-12-1-1-12-111-2100000022-1-12-1-1-12-12-2-22200-2-1-12-11111-2-211-1-12-1-1-12-111-21000000
χ1322-1-1-12-1-1-1222222002-1-1-12-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1200000022-1-1-12-1-1-1222222002-1-1-12-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12000000
χ1422-1-1-12-1-1-122-2-22200-2-1-1-12111111-2-2-1-1-12-1-1-12111-200000022-1-1-12-1-1-122-2-22200-2-1-1-12111111-2-2-1-1-12-1-1-12111-2000000
χ152-22222-2-2-2-20i2−i2-112i−2i00000i2−i2i2−i2i2−i2i2−i2-1-1-1-11111000002−2i−i02-22222-2-2-2-20i2−i2-112i−2i00000i2−i2i2−i2i2−i2i2−i2-1-1-1-11111000002−2i−i0
χ162-22222-2-2-2-20i2−i2-11−2i2i00000i2−i2i2−i2i2−i2i2−i2-1-1-1-1111100000−22−ii02-22222-2-2-2-20i2−i2-11−2i2i00000i2−i2i2−i2i2−i2i2−i2-1-1-1-1111100000−22−ii0
χ172-22222-2-2-2-20−i2i2-112i−2i00000−i2i2−i2i2−i2i2−i2i2-1-1-1-1111100000−22i−i02-22222-2-2-2-20−i2i2-112i−2i00000−i2i2−i2i2−i2i2−i2i2-1-1-1-1111100000−22i−i0
χ182-22222-2-2-2-20−i2i2-11−2i2i00000−i2i2−i2i2−i2i2−i2i2-1-1-1-11111000002−2−ii02-22222-2-2-2-20−i2i2-11−2i2i00000−i2i2−i2i2−i2i2−i2i2-1-1-1-11111000002−2−ii0
χ193333333333-1110033-1-1-1-1-11111111100000000-1-1-1-1-11100-13333333333-1110033-1-1-1-1-11111111100000000-1-1-1-1-11100-1
χ203333333333-11100-3-3-1-1-1-1-11111111100000000-1-1-1-11-1-10013333333333-11100-3-3-1-1-1-1-11111111100000000-1-1-1-11-1-1001
χ213333333333-1-1-100331-1-1-1-1-1-1-1-1-1-1-1-1000000001111-1-1-10013333333333-1-1-100331-1-1-1-1-1-1-1-1-1-1-1-1000000001111-1-1-1001
χ223333333333-1-1-100-3-31-1-1-1-1-1-1-1-1-1-1-1-100000000111111100-13333333333-1-1-100-3-31-1-1-1-1-1-1-1-1-1-1-1-100000000111111100-1
χ23444-2-2-24-2-2-2400-2-20004-2-2-200000000-2111-21110000000000444-2-2-24-2-2-2400-2-20004-2-2-200000000-2111-21110000000000
χ2444-24-2-2-24-2-2400-2-2000-24-2-2000000001-2111-211000000000044-24-2-2-24-2-2400-2-2000-24-2-2000000001-2111-2110000000000
χ2544-2-24-2-2-24-2400-2-2000-2-24-20000000011-2111-21000000000044-2-24-2-2-24-2400-2-2000-2-24-20000000011-2111-210000000000
χ2644-2-2-24-2-2-24400-2-2000-2-2-2400000000111-2111-2000000000044-2-2-24-2-2-24400-2-2000-2-2-2400000000111-2111-20000000000
χ274-44444-4-4-4-40001-14i−4i00000000000001111-1-1-1-10000000−ii04-44444-4-4-4-40001-14i−4i00000000000001111-1-1-1-10000000−ii0
χ284-44444-4-4-4-40001-1−4i4i00000000000001111-1-1-1-10000000i−i04-44444-4-4-4-40001-1−4i4i00000000000001111-1-1-1-10000000i−i0
χ294-44-2-2-2-422202i2−2i2-2200000002i2−2i2−i2i2−i2i2−i2i2-21112-1-1-100000000004-44-2-2-2-422202i2−2i2-2200000002i2−2i2−i2i2−i2i2−i2i2-21112-1-1-10000000000
χ304-44-2-2-2-42220−2i22i2-220000000−2i22i2i2−i2i2−i2i2−i2-21112-1-1-100000000004-44-2-2-2-42220−2i22i2-220000000−2i22i2i2−i2i2−i2i2−i2-21112-1-1-10000000000
χ314-4-24-2-22-42202i2−2i2-220000000−i2i22i2−2i2−i2i2−i2i21-211-12-1-100000000004-4-24-2-22-42202i2−2i2-220000000−i2i22i2−2i2−i2i2−i2i21-211-12-1-10000000000
χ324-4-24-2-22-4220−2i22i2-220000000i2−i2−2i22i2i2−i2i2−i21-211-12-1-100000000004-4-24-2-22-4220−2i22i2-220000000i2−i2−2i22i2i2−i2i2−i21-211-12-1-10000000000
χ334-4-2-24-222-4202i2−2i2-220000000−i2i2−i2i22i2−2i2−i2i211-21-1-12-100000000004-4-2-24-222-4202i2−2i2-220000000−i2i2−i2i22i2−2i2−i2i211-21-1-12-10000000000
χ344-4-2-24-222-420−2i22i2-220000000i2−i2i2−i2−2i22i2i2−i211-21-1-12-100000000004-4-2-24-222-420−2i22i2-220000000i2−i2i2−i2−2i22i2i2−i211-21-1-12-10000000000
χ354-4-2-2-24222-402i2−2i2-220000000−i2i2−i2i2−i2i22i2−2i2111-2-1-1-1200000000004-4-2-2-24222-402i2−2i2-220000000−i2i2−i2i2−i2i22i2−2i2111-2-1-1-120000000000
χ364-4-2-2-24222-40−2i22i2-220000000i2−i2i2−i2i2−i2−2i22i2111-2-1-1-1200000000004-4-2-2-24222-40−2i22i2-220000000i2−i2i2−i2i2−i2−2i22i2111-2-1-1-120000000000
χ37666-3-3-36-3-3-3-2220000-2-211122-1-1-1-1-1-100000000-2111000000666-3-3-36-3-3-3-2220000-2-211122-1-1-1-1-1-100000000-2111000000
χ38666-3-3-36-3-3-3-2-2-200002-2111-2-2111111000000002-1-1-1000000666-3-3-36-3-3-3-2-2-200002-2111-2-2111111000000002-1-1-1000000
χ3966-36-3-3-36-3-3-2220000-21-211-1-122-1-1-1-1000000001-21100000066-36-3-3-36-3-3-2220000-21-211-1-122-1-1-1-1000000001-211000000
χ4066-36-3-3-36-3-3-2-2-2000021-21111-2-2111100000000-12-1-100000066-36-3-3-36-3-3-2-2-2000021-21111-2-2111100000000-12-1-1000000
χ4166-3-36-3-3-36-3-2220000-211-21-1-1-1-122-1-10000000011-2100000066-3-36-3-3-36-3-2220000-211-21-1-1-1-122-1-10000000011-21000000
χ4266-3-36-3-3-36-3-2-2-20000211-211111-2-21100000000-1-12-100000066-3-36-3-3-36-3-2-2-20000211-211111-2-21100000000-1-12-1000000
χ4366-3-3-36-3-3-36-2220000-2111-2-1-1-1-1-1-12200000000111-200000066-3-3-36-3-3-36-2220000-2111-2-1-1-1-1-1-12200000000111-2000000
χ4466-3-3-36-3-3-36-2-2-200002111-2111111-2-200000000-1-1-1200000066-3-3-36-3-3-36-2-2-200002111-2111111-2-200000000-1-1-12000000
χ458-88-4-4-4-84440002-20000000000000002-1-1-1-211100000000008-88-4-4-4-84440002-20000000000000002-1-1-1-21110000000000
χ468-8-48-4-44-8440002-2000000000000000-12-1-11-21100000000008-8-48-4-44-8440002-2000000000000000-12-1-11-2110000000000
χ478-8-4-48-444-840002-2000000000000000-1-12-111-2100000000008-8-4-48-444-840002-2000000000000000-1-12-111-210000000000
χ488-8-4-4-48444-80002-2000000000000000-1-1-12111-200000000008-8-4-4-48444-80002-2000000000000000-1-1-12111-20000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ50111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111-1-11111-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-11
χ5211111111111-1-111-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1
χ532222222222200-1-1220222200000000-1-1-1-1-1-1-1-10000200-1-10-2-2-2-2-2-2-2-2-2-2-20011-2-20-2-2-2-200000000111111110000-200110
χ542222222222200-1-1-2-20222200000000-1-1-1-1-1-1-1-10000-200110-2-2-2-2-2-2-2-2-2-2-20011220-2-2-2-200000000111111110000200-1-10
χ55222-1-1-12-1-1-1222220022-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-1000000-2-2-2111-2111-2-2-2-2-200-2-2111-2-2111111-2111-2111-2111000000
χ56222-1-1-12-1-1-12-2-22200-22-1-1-1-2-21111112-1-1-12-1-1-1-2111000000-2-2-2111-2111-222-2-2002-211122-1-1-1-1-1-1-2111-21112-1-1-1000000
χ5722-12-1-1-12-1-122222002-12-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1000000-2-21-2111-211-2-2-2-2-200-21-21111-2-211111-2111-2111-211000000
χ5822-12-1-1-12-1-12-2-22200-2-12-1-111-2-21111-12-1-1-12-1-11-211000000-2-21-2111-211-222-2-20021-211-1-122-1-1-1-11-2111-211-12-1-1000000
χ5922-1-12-1-1-12-122222002-1-12-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1000000-2-211-2111-21-2-2-2-2-200-211-211111-2-21111-2111-2111-21000000
χ6022-1-12-1-1-12-12-2-22200-2-1-12-11111-2-211-1-12-1-1-12-111-21000000-2-211-2111-21-222-2-200211-21-1-1-1-122-1-111-2111-21-1-12-1000000
χ6122-1-1-12-1-1-1222222002-1-1-12-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12000000-2-2111-2111-2-2-2-2-2-200-2111-2111111-2-2111-2111-2111-2000000
χ6222-1-1-12-1-1-122-2-22200-2-1-1-12111111-2-2-1-1-12-1-1-12111-2000000-2-2111-2111-2-222-2-2002111-2-1-1-1-1-1-122111-2111-2-1-1-12000000
χ632-22222-2-2-2-20i2−i2-112i−2i00000i2−i2i2−i2i2−i2i2−i2-1-1-1-11111000002−2i−i0-22-2-2-2-222220−i2i21-1−2i2i00000−i2i2−i2i2−i2i2−i2i21111-1-1-1-100000−22−ii0
χ642-22222-2-2-2-20i2−i2-11−2i2i00000i2−i2i2−i2i2−i2i2−i2-1-1-1-1111100000−22−ii0-22-2-2-2-222220−i2i21-12i−2i00000−i2i2−i2i2−i2i2−i2i21111-1-1-1-1000002−2i−i0
χ652-22222-2-2-2-20−i2i2-112i−2i00000−i2i2−i2i2−i2i2−i2i2-1-1-1-1111100000−22i−i0-22-2-2-2-222220i2−i21-1−2i2i00000i2−i2i2−i2i2−i2i2−i21111-1-1-1-1000002−2−ii0
χ662-22222-2-2-2-20−i2i2-11−2i2i00000−i2i2−i2i2−i2i2−i2i2-1-1-1-11111000002−2−ii0-22-2-2-2-222220i2−i21-12i−2i00000i2−i2i2−i2i2−i2i2−i21111-1-1-1-100000−22i−i0
χ673333333333-1110033-1-1-1-1-11111111100000000-1-1-1-1-11100-1-3-3-3-3-3-3-3-3-3-31-1-100-3-311111-1-1-1-1-1-1-1-10000000011111-1-1001
χ683333333333-11100-3-3-1-1-1-1-11111111100000000-1-1-1-11-1-1001-3-3-3-3-3-3-3-3-3-31-1-1003311111-1-1-1-1-1-1-1-1000000001111-11100-1
χ693333333333-1-1-100331-1-1-1-1-1-1-1-1-1-1-1-1000000001111-1-1-1001-3-3-3-3-3-3-3-3-3-311100-3-3-111111111111100000000-1-1-1-111100-1
χ703333333333-1-1-100-3-31-1-1-1-1-1-1-1-1-1-1-1-100000000111111100-1-3-3-3-3-3-3-3-3-3-31110033-111111111111100000000-1-1-1-1-1-1-1001
χ71444-2-2-24-2-2-2400-2-20004-2-2-200000000-2111-21110000000000-4-4-4222-4222-40022000-4222000000002-1-1-12-1-1-10000000000
χ7244-24-2-2-24-2-2400-2-2000-24-2-2000000001-2111-2110000000000-4-42-4222-422-400220002-42200000000-12-1-1-12-1-10000000000
χ7344-2-24-2-2-24-2400-2-2000-2-24-20000000011-2111-210000000000-4-422-4222-42-4002200022-4200000000-1-12-1-1-12-10000000000
χ7444-2-2-24-2-2-24400-2-2000-2-2-2400000000111-2111-20000000000-4-4222-4222-4-40022000222-400000000-1-1-12-1-1-120000000000
χ754-44444-4-4-4-40001-14i−4i00000000000001111-1-1-1-10000000−ii0-44-4-4-4-44444000-11−4i4i0000000000000-1-1-1-111110000000i−i0
χ764-44444-4-4-4-40001-1−4i4i00000000000001111-1-1-1-10000000i−i0-44-4-4-4-44444000-114i−4i0000000000000-1-1-1-111110000000−ii0
χ774-44-2-2-2-422202i2−2i2-2200000002i2−2i2−i2i2−i2i2−i2i2-21112-1-1-10000000000-44-42224-2-2-20−2i22i22-20000000−2i22i2i2−i2i2−i2i2−i22-1-1-1-21110000000000
χ784-44-2-2-2-42220−2i22i2-220000000−2i22i2i2−i2i2−i2i2−i2-21112-1-1-10000000000-44-42224-2-2-202i2−2i22-200000002i2−2i2−i2i2−i2i2−i2i22-1-1-1-21110000000000
χ794-4-24-2-22-42202i2−2i2-220000000−i2i22i2−2i2−i2i2−i2i21-211-12-1-10000000000-442-422-24-2-20−2i22i22-20000000i2−i2−2i22i2i2−i2i2−i2-12-1-11-2110000000000
χ804-4-24-2-22-4220−2i22i2-220000000i2−i2−2i22i2i2−i2i2−i21-211-12-1-10000000000-442-422-24-2-202i2−2i22-20000000−i2i22i2−2i2−i2i2−i2i2-12-1-11-2110000000000
χ814-4-2-24-222-4202i2−2i2-220000000−i2i2−i2i22i2−2i2−i2i211-21-1-12-10000000000-4422-42-2-24-20−2i22i22-20000000i2−i2i2−i2−2i22i2i2−i2-1-12-111-210000000000
χ824-4-2-24-222-420−2i22i2-220000000i2−i2i2−i2−2i22i2i2−i211-21-1-12-10000000000-4422-42-2-24-202i2−2i22-20000000−i2i2−i2i22i2−2i2−i2i2-1-12-111-210000000000
χ834-4-2-2-24222-402i2−2i2-220000000−i2i2−i2i2−i2i22i2−2i2111-2-1-1-120000000000-44222-4-2-2-240−2i22i22-20000000i2−i2i2−i2i2−i2−2i22i2-1-1-12111-20000000000
χ844-4-2-2-24222-40−2i22i2-220000000i2−i2i2−i2i2−i2−2i22i2111-2-1-1-120000000000-44222-4-2-2-2402i2−2i22-20000000−i2i2−i2i2−i2i22i2−2i2-1-1-12111-20000000000
χ85666-3-3-36-3-3-3-2220000-2-211122-1-1-1-1-1-100000000-2111000000-6-6-6333-63332-2-2000022-1-1-1-2-2111111000000002-1-1-1000000
χ86666-3-3-36-3-3-3-2-2-200002-2111-2-2111111000000002-1-1-1000000-6-6-6333-63332220000-22-1-1-122-1-1-1-1-1-100000000-2111000000
χ8766-36-3-3-36-3-3-2220000-21-211-1-122-1-1-1-1000000001-211000000-6-63-6333-6332-2-200002-12-1-111-2-2111100000000-12-1-1000000
χ8866-36-3-3-36-3-3-2-2-2000021-21111-2-2111100000000-12-1-1000000-6-63-6333-6332220000-2-12-1-1-1-122-1-1-1-1000000001-211000000
χ8966-3-36-3-3-36-3-2220000-211-21-1-1-1-122-1-10000000011-21000000-6-633-6333-632-2-200002-1-12-11111-2-21100000000-1-12-1000000
χ9066-3-36-3-3-36-3-2-2-20000211-211111-2-21100000000-1-12-1000000-6-633-6333-632220000-2-1-12-1-1-1-1-122-1-10000000011-21000000
χ9166-3-3-36-3-3-36-2220000-2111-2-1-1-1-1-1-12200000000111-2000000-6-6333-6333-62-2-200002-1-1-12111111-2-200000000-1-1-12000000
χ9266-3-3-36-3-3-36-2-2-200002111-2111111-2-200000000-1-1-12000000-6-6333-6333-62220000-2-1-1-12-1-1-1-1-1-12200000000111-2000000
χ938-88-4-4-4-84440002-20000000000000002-1-1-1-21110000000000-88-84448-4-4-4000-22000000000000000-21112-1-1-10000000000
χ948-8-48-4-44-8440002-2000000000000000-12-1-11-2110000000000-884-844-48-4-4000-220000000000000001-211-12-1-10000000000
χ958-8-4-48-444-840002-2000000000000000-1-12-111-210000000000-8844-84-4-48-4000-2200000000000000011-21-1-12-10000000000
χ968-8-4-4-48444-80002-2000000000000000-1-1-12111-20000000000-88444-8-4-4-48000-22000000000000000111-2-1-1-120000000000

Here i is the imaginary unit (i² = −1).