Finite Group Databasebeta

← Group #11864872

Character table — Group #11864872

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222244444888888881212121212122422444448888816161616161616162424242424244833666661212121212242424242424242436363636363672
order1223446446121288121224242424224444236631212612126121224241212242424246612121212622264464461212881212242424242244442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1
χ3111111111111-1-111-1-1-1-11111-1-1-1111111111111-1-111-1-1-1-11111-1-1-1111111111111-1-111-1-1-1-11111-1-1-1
χ4111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1111
χ51111111-1-11111-1-1-111-1-11-11-111-11111111-1-11111-1-1-111-1-11-11-111-11111111-1-11111-1-1-111-1-11-11-111-1
χ61111111-1-11111-1-1-111-1-1-11-11-1-111111111-1-11111-1-1-111-1-1-11-11-1-111111111-1-11111-1-1-111-1-1-11-11-1-11
χ71111111-1-1111-11-1-1-1-1111-11-1-1-111111111-1-1111-11-1-1-1-1111-11-1-1-111111111-1-1111-11-1-1-1-1111-11-1-1-11
χ81111111-1-1111-11-1-1-1-111-11-1111-11111111-1-1111-11-1-1-1-111-11-1111-11111111-1-1111-11-1-1-1-111-11-1111-1
χ92222-2-222-22-2-2002-2000000000002222-2-222-22-2-2002-2000000000002222-2-222-22-2-2002-200000000000
χ102222-2-22-222-2-200-22000000000002222-2-22-222-2-200-22000000000002222-2-22-222-2-200-2200000000000
χ11222-122-122-1-1-122-1-1-1-1-1-10000000222-122-122-1-1-122-1-1-1-1-1-10000000222-122-122-1-1-122-1-1-1-1-1-10000000
χ12222-122-122-1-1-1-2-2-1-111110000000222-122-122-1-1-1-2-2-1-111110000000222-122-122-1-1-1-2-2-1-111110000000
χ13222-122-1-2-2-1-1-12-211-1-1110000000222-122-1-2-2-1-1-12-211-1-1110000000222-122-1-2-2-1-1-12-211-1-1110000000
χ14222-122-1-2-2-1-1-1-221111-1-10000000222-122-1-2-2-1-1-1-221111-1-10000000222-122-1-2-2-1-1-1-221111-1-10000000
χ15222-1-2-2-12-2-11100-113−33−30000000222-1-2-2-12-2-11100-113−33−30000000222-1-2-2-12-2-11100-113−33−30000000
χ16222-1-2-2-12-2-11100-11−33−330000000222-1-2-2-12-2-11100-11−33−330000000222-1-2-2-12-2-11100-11−33−330000000
χ17222-1-2-2-1-22-111001-13−3−330000000222-1-2-2-1-22-111001-13−3−330000000222-1-2-2-1-22-111001-13−3−330000000
χ18222-1-2-2-1-22-111001-1−333−30000000222-1-2-2-1-22-111001-1−333−30000000222-1-2-2-1-22-111001-1−333−30000000
χ1922-222-2200-22-200000000020-200022-222-2200-22-200000000020-200022-222-2200-22-200000000020-2000
χ2022-222-2200-22-2000000000-20200022-222-2200-22-2000000000-20200022-222-2200-22-2000000000-202000
χ2122-22-22200-2-220000000020-2000022-22-22200-2-220000000020-2000022-22-22200-2-220000000020-20000
χ2222-22-22200-2-2200000000-202000022-22-22200-2-2200000000-202000022-22-22200-2-2200000000-2020000
χ2344-4-24-4-2002-2200000000000000044-4-24-4-2002-2200000000000000044-4-24-4-2002-22000000000000000
χ2444-4-2-44-20022-200000000000000044-4-2-44-20022-200000000000000044-4-2-44-20022-2000000000000000
χ254-40400-4000000000000000002i−2i04-40400-4000000000000000002i−2i04-40400-4000000000000000002i−2i0
χ264-40400-400000000000000000−2i2i04-40400-400000000000000000−2i2i04-40400-400000000000000000−2i2i0
χ278-80-4004000000000000000000008-80-4004000000000000000000008-80-400400000000000000000000
χ28111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2911111111111111111111-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ30111111111111-1-111-1-1-1-11111-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111
χ31111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1
χ321111111-1-11111-1-1-111-1-11-11-111-11111111-1-11111-1-1-111-1-11-11-111-1-1-1-1-1-1-1-111-1-1-1-1111-1-111-11-11-1-11
χ331111111-1-11111-1-1-111-1-1-11-11-1-111111111-1-11111-1-1-111-1-1-11-11-1-11-1-1-1-1-1-1-111-1-1-1-1111-1-1111-11-111-1
χ341111111-1-1111-11-1-1-1-1111-11-1-1-111111111-1-1111-11-1-1-1-1111-11-1-1-11-1-1-1-1-1-1-111-1-1-11-11111-1-1-11-1111-1
χ351111111-1-1111-11-1-1-1-111-11-1111-11111111-1-1111-11-1-1-1-111-11-1111-1-1-1-1-1-1-1-111-1-1-11-11111-1-11-11-1-1-11
χ362222-2-222-22-2-2002-2000000000002222-2-222-22-2-2002-200000000000-2-2-2-222-2-22-22200-2200000000000
χ372222-2-22-222-2-200-22000000000002222-2-22-222-2-200-2200000000000-2-2-2-222-22-2-222002-200000000000
χ38222-122-122-1-1-122-1-1-1-1-1-10000000222-122-122-1-1-122-1-1-1-1-1-10000000-2-2-21-2-21-2-2111-2-21111110000000
χ39222-122-122-1-1-1-2-2-1-111110000000222-122-122-1-1-1-2-2-1-111110000000-2-2-21-2-21-2-21112211-1-1-1-10000000
χ40222-122-1-2-2-1-1-12-211-1-1110000000222-122-1-2-2-1-1-12-211-1-1110000000-2-2-21-2-2122111-22-1-111-1-10000000
χ41222-122-1-2-2-1-1-1-221111-1-10000000222-122-1-2-2-1-1-1-221111-1-10000000-2-2-21-2-21221112-2-1-1-1-1110000000
χ42222-1-2-2-12-2-11100-113−33−30000000222-1-2-2-12-2-11100-113−33−30000000-2-2-21221-221-1-1001-1−33−330000000
χ43222-1-2-2-12-2-11100-11−33−330000000222-1-2-2-12-2-11100-11−33−330000000-2-2-21221-221-1-1001-13−33−30000000
χ44222-1-2-2-1-22-111001-13−3−330000000222-1-2-2-1-22-111001-13−3−330000000-2-2-212212-21-1-100-11−333−30000000
χ45222-1-2-2-1-22-111001-1−333−30000000222-1-2-2-1-22-111001-1−333−30000000-2-2-212212-21-1-100-113−3−330000000
χ4622-222-2200-22-200000000020-200022-222-2200-22-200000000020-2000-2-22-2-22-2002-22000000000-202000
χ4722-222-2200-22-2000000000-20200022-222-2200-22-2000000000-202000-2-22-2-22-2002-2200000000020-2000
χ4822-22-22200-2-220000000020-2000022-22-22200-2-220000000020-20000-2-22-22-2-20022-200000000-2020000
χ4922-22-22200-2-2200000000-202000022-22-22200-2-2200000000-2020000-2-22-22-2-20022-20000000020-20000
χ5044-4-24-4-2002-2200000000000000044-4-24-4-2002-22000000000000000-4-442-44200-22-2000000000000000
χ5144-4-2-44-20022-200000000000000044-4-2-44-20022-2000000000000000-4-4424-4200-2-22000000000000000
χ524-40400-4000000000000000002i−2i04-40400-4000000000000000002i−2i0-440-400400000000000000000−2i2i0
χ534-40400-400000000000000000−2i2i04-40400-400000000000000000−2i2i0-440-4004000000000000000002i−2i0
χ548-80-4004000000000000000000008-80-400400000000000000000000-880400-400000000000000000000
χ55222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000
χ5622222222222222222222-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111000000000000000000000000000
χ57222222222222-2-222-2-2-2-22222-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111000000000000000000000000000
χ58222222222222-2-222-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1000000000000000000000000000
χ592222222-2-22222-2-2-222-2-22-22-222-2-1-1-1-1-1-1-111-1-1-1-1111-1-111-11-11-1-11000000000000000000000000000
χ602222222-2-22222-2-2-222-2-2-22-22-2-22-1-1-1-1-1-1-111-1-1-1-1111-1-1111-11-111-1000000000000000000000000000
χ612222222-2-2222-22-2-2-2-2222-22-2-2-22-1-1-1-1-1-1-111-1-1-11-11111-1-1-11-1111-1000000000000000000000000000
χ622222222-2-2222-22-2-2-2-222-22-2222-2-1-1-1-1-1-1-111-1-1-11-11111-1-11-11-1-1-11000000000000000000000000000
χ634444-4-444-44-4-4004-400000000000-2-2-2-222-2-22-22200-2200000000000000000000000000000000000000
χ644444-4-44-444-4-400-4400000000000-2-2-2-222-22-2-222002-200000000000000000000000000000000000000
χ65444-244-244-2-2-244-2-2-2-2-2-20000000-2-2-21-2-21-2-2111-2-21111110000000000000000000000000000000000
χ66444-244-244-2-2-2-4-4-2-222220000000-2-2-21-2-21-2-21112211-1-1-1-10000000000000000000000000000000000
χ67444-244-2-4-4-2-2-24-422-2-2220000000-2-2-21-2-2122111-22-1-111-1-10000000000000000000000000000000000
χ68444-244-2-4-4-2-2-2-442222-2-20000000-2-2-21-2-21221112-2-1-1-1-1110000000000000000000000000000000000
χ69444-2-4-4-24-4-22200-2223−2323−230000000-2-2-21221-221-1-1001-1−33−330000000000000000000000000000000000
χ70444-2-4-4-24-4-22200-22−2323−23230000000-2-2-21221-221-1-1001-13−33−30000000000000000000000000000000000
χ71444-2-4-4-2-44-222002-223−23−23230000000-2-2-212212-21-1-100-11−333−30000000000000000000000000000000000
χ72444-2-4-4-2-44-222002-2−232323−230000000-2-2-212212-21-1-100-113−3−330000000000000000000000000000000000
χ7344-444-4400-44-400000000040-4000-2-22-2-22-2002-22000000000-202000000000000000000000000000000
χ7444-444-4400-44-4000000000-404000-2-22-2-22-2002-2200000000020-2000000000000000000000000000000
χ7544-44-44400-4-440000000040-40000-2-22-22-2-20022-200000000-2020000000000000000000000000000000
χ7644-44-44400-4-4400000000-4040000-2-22-22-2-20022-20000000020-20000000000000000000000000000000
χ7788-8-48-8-4004-44000000000000000-4-442-44200-22-2000000000000000000000000000000000000000000
χ7888-8-4-88-40044-4000000000000000-4-4424-4200-2-22000000000000000000000000000000000000000000
χ798-80800-8000000000000000004i−4i0-440-400400000000000000000−2i2i0000000000000000000000000000
χ808-80800-800000000000000000−4i4i0-440-4004000000000000000002i−2i0000000000000000000000000000
χ8116-160-800800000000000000000000-880400-400000000000000000000000000000000000000000000000

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