Finite Group Databasebeta

← Group #11794346

Character table — Group #11794346

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order122222334444666666366666661212121212121212121212126688121224242424242424242424242424242424224444666688121212121212121224242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1
χ922222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000002i−2i000000002i2i−2i−2i000000
χ1022222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000−2i2i00000000−2i−2i2i2i000000
χ112222222-1222222-1-1-12-122-1-1-1-1-122-1-1-1-1-12-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-100-1-1-1-100000000000000
χ122222222-1222222-1-1-12-122-1-1-1-1-122-1-1-1-1-12-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200111100111100000000000000
χ132222222-1222222-1-1-12-122-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-1-1-2-2-2-211111111111122-2-200-1-1-1-100111100000000000000
χ142222222-1222222-1-1-12-122-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-1-1-2-2-2-2111111111111-2-22200111100-1-1-1-100000000000000
χ15222222-122222-1-1222-1-1-1-122-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000220000220000-1-1-1-1-1-1-1-1000000
χ16222222-122222-1-1222-1-1-1-122-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-20000-2-2000011111111000000
χ17222222-122222-1-1222-1-1-1-122-1-1-1-1-1222-1-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-2111111110000220000-2-20000-1-1-1-11111000000
χ18222222-122222-1-1222-1-1-1-122-1-1-1-1-1222-1-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-2111111110000-2-200002200001111-1-1-1-1000000
χ19222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-111-2-2-2111-2111-1-1001133−3−300003333−3−3−3−300000000002i−2i0000−i3−i3i3i3−i−iii000000
χ20222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-111-2-2-2111-2111-1-1001133−3−300003333−3−3−3−30000000000−2i2i0000i3i3−i3−i3ii−i−i000000
χ21222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-111-2-2-2111-2111-1-10011−3−3330000−3−3−3−3333300000000002i−2i0000i3i3−i3−i3−i−iii000000
χ22222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-111-2-2-2111-2111-1-10011−3−3330000−3−3−3−333330000000000−2i2i0000−i3−i3i3i3ii−i−i000000
χ232222-2-2222-22-22222222-2-2-2-22222-22-2-2222222-2-2-200-2-20000000000000000002-20000000022-2-200000000000000
χ242222-2-2222-22-22222222-2-2-2-22222-22-2-2222222-2-2-200-2-2000000000000000000-2200000000-2-22200000000000000
χ252222-2-222-22-222222222-2-2-2-2222-22-222-2-2-2-2-2-22-2-20022000000000000000000000000000000000000000022-2-200
χ262222-2-222-22-222222222-2-2-2-2222-22-222-2-2-2-2-2-22-2-200220000000000000000000000000000000000000000-2-22200
χ272222-2-22-12-22-222-1-1-12-1-2-211-1-1-12-2-111-1-12-1-1-1-21100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3002-200−i3−i3i3i300-1-11100000000000000
χ282222-2-22-12-22-222-1-1-12-1-2-211-1-1-12-2-111-1-12-1-1-1-21100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300-2200i3i3−i3−i30011-1-100000000000000
χ292222-2-22-12-22-222-1-1-12-1-2-211-1-1-12-2-111-1-12-1-1-1-21100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3002-200i3i3−i3−i300-1-11100000000000000
χ302222-2-22-12-22-222-1-1-12-1-2-211-1-1-12-2-111-1-12-1-1-1-21100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300-2200−i3−i3i3i30011-1-100000000000000
χ3122-2-22-22222-2-2-222-2-2-222-22-2-2-222222-222-2-2-2-2-22-2002-200000000000000002-200002-22-200000000000000000000
χ3222-2-22-22222-2-2-222-2-2-222-22-2-2-222222-222-2-2-2-2-22-2002-20000000000000000-220000-22-2200000000000000000000
χ3322-2-22-222-2-222-222-2-2-222-22-2-2-22-2-2-2-22-2-2222222-200-22000000000000000000000000000000000000000000002-2
χ3422-2-22-222-2-222-222-2-2-222-22-2-2-22-2-2-2-22-2-2222222-200-2200000000000000000000000000000000000000000000-22
χ3522-2-22-22-122-2-2-22-111-2-12-2-1111-122-1-11-1-1-2111-2-1100-1100003−33−33−33−33−33−32-20000-11-11003−33−300000000000000
χ3622-2-22-22-122-2-2-22-111-2-12-2-1111-122-1-11-1-1-2111-2-1100-1100003−33−33−33−33−33−3-2200001-11-100−33−3300000000000000
χ3722-2-22-22-122-2-2-22-111-2-12-2-1111-122-1-11-1-1-2111-2-1100-110000−33−33−33−33−33−332-20000-11-1100−33−3300000000000000
χ3822-2-22-22-122-2-2-22-111-2-12-2-1111-122-1-11-1-1-2111-2-1100-110000−33−33−33−33−33−33-2200001-11-1003−33−300000000000000
χ3922-2-2-22222-2-22-222-2-2-22-22-22-2-222-22-2222-2-2-2-22-222i−2i-222i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ4022-2-2-22222-2-22-222-2-2-22-22-22-2-222-22-2222-2-2-2-22-22−2i2i-22−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ4122-2-2-2222-222-2-222-2-2-22-22-22-2-22-22-22-2-2-22222-2-22002-2000000000000000000002i−2i00000000002i−2i2i−2i0000000000
χ4222-2-2-2222-222-2-222-2-2-22-22-22-2-22-22-22-2-2-22222-2-22002-200000000000000000000−2i2i0000000000−2i2i−2i2i0000000000
χ4322-2-2-222-12-2-22-22-111-2-1-221-111-12-2-11-1-1-1-211121-12i−2i1-12i−2i2i−2i−iii−i−iii−i−iii−i000000−i3i3i3−i3003−3−3300000000000000
χ4422-2-2-222-12-2-22-22-111-2-1-221-111-12-2-11-1-1-1-211121-12i−2i1-12i−2i2i−2i−iii−i−iii−i−iii−i000000i3−i3−i3i300−333−300000000000000
χ4522-2-2-222-12-2-22-22-111-2-1-221-111-12-2-11-1-1-1-211121-1−2i2i1-1−2i2i−2i2ii−i−iii−i−iii−i−ii000000−i3i3i3−i300−333−300000000000000
χ4622-2-2-222-12-2-22-22-111-2-1-221-111-12-2-11-1-1-1-211121-1−2i2i1-1−2i2i−2i2ii−i−iii−i−iii−i−ii000000i3−i3−i3i3003−3−3300000000000000
χ4722-2-2-22-122-2-221-12-2-21-11-1-2211-1-112-22-1-11-211-11-12i−2i1-1−ii−ii2i−2i−2i2i−iii−i−iii−i00000000000000003−3−33−i3i3−i3i3000000
χ4822-2-2-22-122-2-221-12-2-21-11-1-2211-1-112-22-1-11-211-11-12i−2i1-1−ii−ii2i−2i−2i2i−iii−i−iii−i0000000000000000−333−3i3−i3i3−i3000000
χ4922-2-2-22-122-2-221-12-2-21-11-1-2211-1-112-22-1-11-211-11-1−2i2i1-1i−ii−i−2i2i2i−2ii−i−iii−i−ii00000000000000003−3−33i3−i3i3−i3000000
χ5022-2-2-22-122-2-221-12-2-21-11-1-2211-1-112-22-1-11-211-11-1−2i2i1-1i−ii−i−2i2i2i−2ii−i−iii−i−ii0000000000000000−333−3−i3i3−i3i3000000
χ5122-2-2-22-12-222-21-12-2-21-11-1-2211-11-1-22-211-12-1-111-100-11−i3i3i3−i30000−i3i3i3−i3i3−i3−i3i300002i−2i0000000000−ii−ii−333−3000000
χ5222-2-2-22-12-222-21-12-2-21-11-1-2211-11-1-22-211-12-1-111-100-11−i3i3i3−i30000−i3i3i3−i3i3−i3−i3i30000−2i2i0000000000i−ii−i3−3−33000000
χ5322-2-2-22-12-222-21-12-2-21-11-1-2211-11-1-22-211-12-1-111-100-11i3−i3−i3i30000i3−i3−i3i3−i3i3i3−i300002i−2i0000000000−ii−ii3−3−33000000
χ5422-2-2-22-12-222-21-12-2-21-11-1-2211-11-1-22-211-12-1-111-100-11i3−i3−i3i30000i3−i3−i3i3−i3i3i3−i30000−2i2i0000000000i−ii−i−333−3000000
χ554444444-2-4-4-4-444-2-2-24-244-2-2-2-2-2-4-422222-4222-4-2-200220000000000000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-2-211-2114411-2-2-2-2-2-2-2-211111111000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-2-211-211-4-41122222222-1-1-1-1-1-1-1-1000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211122222-1-122-1-121100-1-12323−23−230000−3−3−3−33333000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211122222-1-122-1-121100-1-1−23−23232300003333−3−3−3−3000000000000000000000000000000
χ604444-4-44-2-44-4444-2-2-24-2-4-422-2-2-2-442-2-222-422242200-2-20000000000000000000000000000000000000000000000
χ614444-4-4-244-44-4-2-2444-2-222-4-4-2-2-2-224-4-4-2-2-24-2-222200220000000000000000000000000000000000000000000000
χ624444-4-4-24-44-44-2-2444-2-222-4-4-2-2-22-2-444222-422-22200-2-20000000000000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-2-2-2-2-2-212222111-22-22211-2-2112-1-100-1-10000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ644444-4-4-2-24-44-4-2-2-2-2-2-212222111-22-22211-2-2112-1-100-1-100002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ654444-4-4-2-2-44-44-2-2-2-2-2-2122221112-22-2-2-1-122-1-1-2-1-10011000000003i3i−3i−3i−3i−3i3i3i000000000000000000000000000000
χ664444-4-4-2-2-44-44-2-2-2-2-2-2122221112-22-2-2-1-122-1-1-2-1-1001100000000−3i−3i3i3i3i3i−3i−3i000000000000000000000000000000
χ6744-4-44-44-2-4-444-44-222-4-24-4-2222-2-4-422-2224-2-2-24-22002-20000000000000000000000000000000000000000000000
χ6844-4-44-4-2444-4-42-24-4-42-2-224-422-2-2-244-4-2-22-4222-2200-220000000000000000000000000000000000000000000000
χ6944-4-44-4-24-4-4442-24-4-42-2-224-422-222-4-4422-24-2-2-2-22002-20000000000000000000000000000000000000000000000
χ7044-4-44-4-2-244-4-42-2-22221-22-22-1-11-2-2-2-221122-1-121-1001-1000023−2323−23−33−33−33−33000000000000000000000000000000
χ7144-4-44-4-2-244-4-42-2-22221-22-22-1-11-2-2-2-221122-1-121-1001-10000−2323−23233−33−33−33−3000000000000000000000000000000
χ7244-4-44-4-2-2-4-4442-2-22221-22-22-1-112222-2-1-1-2-211-21-100-11000000003-33-3-33-33000000000000000000000000000000
χ7344-4-44-4-2-2-4-4442-2-22221-22-22-1-112222-2-1-1-2-211-21-100-1100000000-33-333-33-3000000000000000000000000000000
χ7444-4-4-444-2-444-4-44-222-4-2-442-222-2-442-22224-2-2-2-42-200-220000000000000000000000000000000000000000000000
χ7544-4-4-44-2-24-4-442-2-222212-22-2-1-11-22-22-21122-1-1-2-114i−4i-11−2i2i−2i2i−2i2i2i−2ii−i−iii−i−ii000000000000000000000000000000
χ7644-4-4-44-2-24-4-442-2-222212-22-2-1-11-22-22-21122-1-1-2-11−4i4i-112i−2i2i−2i2i−2i−2i2i−iii−i−iii−i000000000000000000000000000000
χ7744-4-4-44-2-2-444-42-2-222212-22-2-1-112-22-22-1-1-2-2112-11001-1−2i32i32i3−2i30000i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000
χ7844-4-4-44-2-2-444-42-2-222212-22-2-1-112-22-22-1-1-2-2112-11001-12i3−2i3−2i32i30000−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000
χ794-44-4004400004-4-44-4-4400004-4-4000000000000000000000000000000000000000000000000000000000000−2i22i200
χ804-44-4004400004-4-44-4-4400004-4-40000000000000000000000000000000000000000000000000000000000002i2−2i200
χ814-4-4400440000-4-4-4-44440000-44-4000000000000000000000000000000000000000000000000000000000022−220000
χ824-4-4400440000-4-4-4-44440000-44-40000000000000000000000000000000000000000000000000000000000−22220000
χ838-88-8008-400008-84-44-8-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ848-88-800-480000-44-88-84-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ858-88-800-4-40000-444-444200002-2-2000006i−6i006i−6i00000000000000000000000000000000000000000000000000000
χ868-88-800-4-40000-444-444200002-2-200000−6i6i00−6i6i00000000000000000000000000000000000000000000000000000
χ878-8-88008-40000-8-844-48-400004-440000000000000000000000000000000000000000000000000000000000000000
χ888-8-8800-48000044-8-88-4-400004-440000000000000000000000000000000000000000000000000000000000000000
χ898-8-8800-4-400004444-4-420000-22-2000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000
χ908-8-8800-4-400004444-4-420000-22-200000−6i6i006i−6i00000000000000000000000000000000000000000000000000000

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