Finite Group Databasebeta

← Group #11794287

Character table — Group #11794287

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order12222233444466666636666666666612121212121212124412121212121212121212121212121212121212124444888812121212121212122424242424242424444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
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
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-1-1-1-111111111-1-1
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-11111-1-1
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ922222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000002-2
χ1022222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000000000000000000000000000-22
χ112222222-122222-12-12-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10202002200-1-100-1-10000-1-1-1-1000000
χ122222222-122222-12-12-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-20-200-2-20011001100001111000000
χ132222222-122222-12-12-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-1-1-1-111111111020200-2-200-1-100-1-100001111000000
χ142222222-122222-12-12-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-1-1-1-1111111110-20-20022001100110000-1-1-1-1000000
χ15222222-122222-12-12-12-1-1-122-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-120202200-1-100-1-100-1-1-1-10000000000
χ16222222-122222-12-12-12-1-1-122-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-20-20-2-2001100110011110000000000
χ17222222-122222-12-12-12-1-1-122-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-2-1-1-1-1111111112020-2-200-1-100-1-10011110000000000
χ18222222-122222-12-12-12-1-1-122-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-2-1-1-1-111111111-20-20220011001100-1-1-1-10000000000
χ192222-2-2222-22-22222222-2-2-2-22-2-2-2-22222-22-2-2-22000000000022-2-200000000020-2000000-2-2002200000000000000
χ202222-2-2222-22-22222222-2-2-2-22-2-2-2-22222-22-2-2-22000000000022-2-2000000000-2020000002200-2-200000000000000
χ212222-2-222-22-222222222-2-2-2-22-2-2-2-222-2-22-2222-20000000000-2-2220000000020-200000-2-200220000000000000000
χ222222-2-222-22-222222222-2-2-2-22-2-2-2-222-2-22-2222-20000000000-2-22200000000-202000002200-2-20000000000000000
χ232222-2-22-12-22-22-12-12-1-1-2-211-11111-1-122-2-111-2-1000000−i3−i3i3i3-1-111−i3−i3−i3−i3i3i3i3i3020-20000001100-1-10000−i3−i3i3i3000000
χ242222-2-22-12-22-22-12-12-1-1-2-211-11111-1-122-2-111-2-1000000−i3−i3i3i3-1-111−i3−i3−i3−i3i3i3i3i30-202000000-1-100110000i3i3−i3−i3000000
χ252222-2-22-12-22-22-12-12-1-1-2-211-11111-1-122-2-111-2-1000000i3i3−i3−i3-1-111i3i3i3i3−i3−i3−i3−i3020-20000001100-1-10000i3i3−i3−i3000000
χ262222-2-22-12-22-22-12-12-1-1-2-211-11111-1-122-2-111-2-1000000i3i3−i3−i3-1-111i3i3i3i3−i3−i3−i3−i30-202000000-1-100110000−i3−i3i3i3000000
χ272222-2-2-12-22-22-12-12-12-111-2-2-11111-1-111-1-222-1-200−i3−i3i3i3000011-1-1−i3−i3i3i3−i3−i3i3i320-2000001100-1-100−i3−i3i3i30000000000
χ282222-2-2-12-22-22-12-12-12-111-2-2-11111-1-111-1-222-1-200−i3−i3i3i3000011-1-1−i3−i3i3i3−i3−i3i3i3-20200000-1-1001100i3i3−i3−i30000000000
χ292222-2-2-12-22-22-12-12-12-111-2-2-11111-1-111-1-222-1-200i3i3−i3−i3000011-1-1i3i3−i3−i3i3i3−i3−i320-2000001100-1-100i3i3−i3−i30000000000
χ302222-2-2-12-22-22-12-12-12-111-2-2-11111-1-111-1-222-1-200i3i3−i3−i3000011-1-1i3i3−i3−i3i3i3−i3−i3-20200000-1-1001100−i3−i3i3i30000000000
χ3122-2-22-2222-2-2222-2-2-2-222-22-2-222-2-22-22-2-222-22-200000000002-22-20000000000002-200000000002-22-20000000000
χ3222-2-22-2222-2-2222-2-2-2-222-22-2-222-2-22-22-2-222-22-200000000002-22-2000000000000-220000000000-22-220000000000
χ3322-2-22-222-222-222-2-2-2-222-22-2-222-2-22-2-222-2-22-220000000000-22-22000000000000002-20000000000002-22-2000000
χ3422-2-22-222-222-222-2-2-2-222-22-2-222-2-22-2-222-2-22-220000000000-22-2200000000000000-22000000000000-22-22000000
χ3522-2-22-22-1-222-22-1-21-21-12-2-111-1-111-11-22211-1-2-10000003−33−31-11-13−33−33−33−30000002-2003−3003−30000-11-11000000
χ3622-2-22-22-1-222-22-1-21-21-12-2-111-1-111-11-22211-1-2-10000003−33−31-11-13−33−33−33−3000000-2200−3300−3300001-11-1000000
χ3722-2-22-22-1-222-22-1-21-21-12-2-111-1-111-11-22211-1-2-1000000−33−331-11-1−33−33−33−330000002-200−3300−330000-11-11000000
χ3822-2-22-22-1-222-22-1-21-21-12-2-111-1-111-11-22211-1-2-1000000−33−331-11-1−33−33−33−33000000-22003−3003−300001-11-1000000
χ3922-2-22-2-122-2-22-121-21-2-1-112-21-1-111-11-11122-2-1-2003−33−30000-11-113−3−33−333−300002-2003−3003−300-11-110000000000
χ4022-2-22-2-122-2-22-121-21-2-1-112-21-1-111-11-11122-2-1-2003−33−30000-11-113−3−33−333−30000-2200−3300−33001-11-10000000000
χ4122-2-22-2-122-2-22-121-21-2-1-112-21-1-111-11-11122-2-1-200−33−330000-11-11−333−33−3−3300002-200−3300−3300-11-110000000000
χ4222-2-22-2-122-2-22-121-21-2-1-112-21-1-111-11-11122-2-1-200−33−330000-11-11−333−33−3−330000-22003−3003−3001-11-10000000000
χ4322-2-2-222222-2-222-2-2-2-22-22-22-2-2-2222-22-222-22-2-200000000002-2-220000000000000000000000000000000022-2-200
χ4422-2-2-222222-2-222-2-2-2-22-22-22-2-2-2222-22-222-22-2-200000000002-2-2200000000000000000000000000000000-2-22200
χ4522-2-2-2222-2-22222-2-2-2-22-22-22-2-2-2222-2-22-2-22-2222i−2i2i−2i−2i2i2i−2i−2i2i-222-22i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ4622-2-2-2222-2-22222-2-2-2-22-22-22-2-2-2222-2-22-2-22-222−2i2i−2i2i2i−2i−2i2i2i−2i-222-2−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ4722-2-2-222-1-2-2222-1-21-21-1-221-1111-1-1-11-22-21-112-12i−2i2i−2i−2i2i−iii−i1-1-11−ii−iii−ii−i00000000003−300−330000i3−i3−i3i3000000
χ4822-2-2-222-1-2-2222-1-21-21-1-221-1111-1-1-11-22-21-112-12i−2i2i−2i−2i2i−iii−i1-1-11−ii−iii−ii−i0000000000−33003−30000−i3i3i3−i3000000
χ4922-2-2-222-1-2-2222-1-21-21-1-221-1111-1-1-11-22-21-112-1−2i2i−2i2i2i−2ii−i−ii1-1-11i−ii−i−ii−ii00000000003−300−330000−i3i3i3−i3000000
χ5022-2-2-222-1-2-2222-1-21-21-1-221-1111-1-1-11-22-21-112-1−2i2i−2i2i2i−2ii−i−ii1-1-11i−ii−i−ii−ii0000000000−33003−30000i3−i3−i3i3000000
χ5122-2-2-22-12-2-222-121-21-2-11-1-22111-1-1-111-11-22-2-122i−2i−iii−i2i−2i−2i2i1-1-11−ii−iii−ii−i000000003−300−3300i3−i3−i3i30000000000
χ5222-2-2-22-12-2-222-121-21-2-11-1-22111-1-1-111-11-22-2-122i−2i−iii−i2i−2i−2i2i1-1-11−ii−iii−ii−i00000000−33003−300−i3i3i3−i30000000000
χ5322-2-2-22-12-2-222-121-21-2-11-1-22111-1-1-111-11-22-2-12−2i2ii−i−ii−2i2i2i−2i1-1-11i−ii−i−ii−ii000000003−300−3300−i3i3i3−i30000000000
χ5422-2-2-22-12-2-222-121-21-2-11-1-22111-1-1-111-11-22-2-12−2i2ii−i−ii−2i2i2i−2i1-1-11i−ii−i−ii−ii00000000−33003−300i3−i3−i3i30000000000
χ554444444-2-4-4-4-44-24-24-2-244-2-2-2-2-2-2-2-2-2-4-4-4222-420000000000222200000000000000000000000000000000000000
χ56444444-24-4-4-4-4-24-24-24-2-2-244-2-2-2-2-2-2-2222-4-4-42-40000000000222200000000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ58444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000000000-1-1-1-133-3-3-3-333000000000000000000000000000000
χ60444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000000000-1-1-1-1-3-33333-3-3000000000000000000000000000000
χ614444-4-44-2-44-444-24-24-2-2-4-422-22222-2-2-4-442-2-242000000000022-2-200000000000000000000000000000000000000
χ624444-4-4-244-44-4-24-24-24-222-4-4-22222-2-2-2-224-4-4240000000000-2-22200000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-2-2-2-2-2-2122221-1-1-1-111-2-22-2222-2000000−2i3−2i32i32i311-1-1i3i3i3i3−i3−i3−i3−i3000000000000000000000000000000
χ644444-4-4-2-24-44-4-2-2-2-2-2-2122221-1-1-1-111-2-22-2222-20000002i32i3−2i3−2i311-1-1−i3−i3−i3−i3i3i3i3i3000000000000000000000000000000
χ654444-4-4-2-2-44-44-2-2-2-2-2-2122221-1-1-1-11122-22-2-2-2200−2i3−2i32i32i30000-1-111i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ664444-4-4-2-2-44-44-2-2-2-2-2-2122221-1-1-1-11122-22-2-2-22002i32i3−2i3−2i30000-1-111−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ6744-4-44-44-24-4-444-2-42-42-24-4-222-2-222-224-4-4-2-22420000000000-22-2200000000000000000000000000000000000000
χ6844-4-44-4-24-444-4-242-42-4-2-224-42-2-222-222-2-2-4-442400000000002-22-200000000000000000000000000000000000000
χ6944-4-44-4-2-24-4-44-2-222221-22-22-111-1-11-1-222-2-22-220023−2323−2300001-11-1−333−33−3−33000000000000000000000000000000
χ7044-4-44-4-2-24-4-44-2-222221-22-22-111-1-11-1-222-2-22-2200−2323−232300001-11-13−3−33−333−3000000000000000000000000000000
χ7144-4-44-4-2-2-444-4-2-222221-22-22-111-1-11-12-2-222-22-200000023−2323−23-11-11−33−33−33−33000000000000000000000000000000
χ7244-4-44-4-2-2-444-4-2-222221-22-22-111-1-11-12-2-222-22-2000000−2323−2323-11-113−33−33−33−3000000000000000000000000000000
χ7344-4-4-444-244-4-44-2-42-42-2-442-2222-2-2-224-44-22-2-420000000000-222-200000000000000000000000000000000000000
χ7444-4-4-44-2444-4-4-242-42-4-22-2-44222-2-2-22-22-24-442-40000000000-222-200000000000000000000000000000000000000
χ7544-4-4-44-2-244-4-4-2-2222212-22-2-1-1-1111-1-22-2-22-22200000000001-1-113i−3i−3i3i3i−3i−3i3i000000000000000000000000000000
χ7644-4-4-44-2-244-4-4-2-2222212-22-2-1-1-1111-1-22-2-22-22200000000001-1-11−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000
χ7744-4-4-44-2-2-4-444-2-2222212-22-2-1-1-1111-12-222-22-2-24i−4i−2i2i2i−2i−2i2i2i−2i-111-1i−ii−i−ii−ii000000000000000000000000000000
χ7844-4-4-44-2-2-4-444-2-2222212-22-2-1-1-1111-12-222-22-2-2−4i4i2i−2i−2i2i2i−2i−2i2i-111-1−ii−iii−ii−i000000000000000000000000000000
χ794-44-400440000-4-4-4-44440000-40000-440000000000000000000000000000000000000000000000000000002i−2i2i−2i00
χ804-44-400440000-4-4-4-44440000-40000-44000000000000000000000000000000000000000000000000000000−2i2i−2i2i00
χ814-4-4400440000-4-444-4-44000040000-4-40000000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ824-4-4400440000-4-444-4-44000040000-4-4000000000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ838-88-8008-40000-84-848-4-40000400004-4000000000000000000000000000000000000000000000000000000000000
χ848-88-800-4800004-84-8-48-40000400004-4000000000000000000000000000000000000000000000000000000000000
χ858-88-800-4-400004444-4-420000-26-66-6-22000000000000000000000000000000000000000000000000000000000000
χ868-88-800-4-400004444-4-420000-2-66-66-22000000000000000000000000000000000000000000000000000000000000
χ878-8-88008-40000-848-4-84-40000-4000044000000000000000000000000000000000000000000000000000000000000
χ888-8-8800-4800004-8-484-8-40000-4000044000000000000000000000000000000000000000000000000000000000000
χ898-8-8800-4-4000044-4-4442000026-6-66-2-2000000000000000000000000000000000000000000000000000000000000
χ908-8-8800-4-4000044-4-444200002-666-6-2-2000000000000000000000000000000000000000000000000000000000000

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