Finite Group Databasebeta

← Group #11889314

Character table — Group #11889314

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order1222334466666634466612121212481212121212121212242424242424242422244488881212121212121212121212444446661212121224242424212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-11-1111-1-11111-1-111111-1-11-1-1-111-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-11-11-1-1-111-1-1-1-11111111-1-1-1111-1-111-1-1-1-111-11-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111
χ5111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1111-11-111-1-1-1-1-1-111-111-1-1-1-1-1-1111111-1-111-1-1-1-11-11
χ6111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-111-11-1-111-1-1-1-1111111-11-1
χ7111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1-1111-111-1-11111-1-1-1-11-1-11-1
χ8111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111-1-1-111-1-1-1-111-1-1-1-1-1-111-1-111-111-11
χ9111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-11111-11-1111-1-1-1-1-1-1-1-1111-1-1
χ10111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-11-1-1111111-1-11-1-111-1-1-1-11-11111-1-1-1-111-1-1-111
χ11111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1111-1-111-1-111-11-1-1-1-11111-1-1-11-111
χ12111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-111111-11-1-1-1111111111-11-1-1
χ13111111111111111-1-11111111-11-1-1-1-1-1-11111111111111-11-1-1-111-1-1-1-111-1-1-1-1-1-1-11-1-1111-1-111-1-111-1-111-1
χ14111111111111111-1-11111111-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-1-1-111-1-11
χ15111111111111111-1-11111111-11-1-1-1-1-1-11111111111-1-111111111111111-1-1-1-1-111-1-1-11-1-1-1-1-1-111111-1-1-11
χ16111111111111111-1-11111111-11-1-1-1-1-1-11111111111-1-1-11-1111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1111-1
χ17222222-2-2222222200222-2-2-2-200000000-2-2000000000022-2-20000-2-222-2-2000002200020000000000-20000
χ18222222-2-2222222200222-2-2-2-200000000-2-200000000002-2-22000022-2-2-2-200000-2-20002000000000020000
χ19222222-2-2222222200222-2-2-2-200000000-2-20000000000-222-20000-2-2222200000-2-2000-2000000000020000
χ20222222-2-2222222200222-2-2-2-200000000-2-20000000000-2-222000022-2-2220000022000-20000000000-20000
χ2122222-122-122-1-12-122-1-1-1-12-122222-1-1-1-1-1-122-1-1-1-1-1-12202022200-1-1-1-1002-1-1-1-1002000-1-100-1-1-1-10000000
χ2222222-122-122-1-12-122-1-1-1-12-122222-1-1-1-1-1-122-1-1-1-1-1-1-2-20-20-2-2-2001111002-1-1-1-100-2000110011110000000
χ2322222-122-122-1-12-122-1-1-1-12-12-2-222-1-111-1-1-2-2111111220-20-22200111100-2-1-11100-2000-1-10011-1-10000000
χ2422222-122-122-1-12-122-1-1-1-12-12-2-222-1-111-1-1-2-2111111-2-20202-2-200-1-1-1-100-2-1-1110020001100-1-1110000000
χ2522222-122-122-1-12-1-2-2-1-1-1-12-122-2-2-211-1-1-1-1-2-2111111220202-2-200-1-1-1-100211-1-100-2000-1-10011110000000
χ2622222-122-122-1-12-1-2-2-1-1-1-12-122-2-2-211-1-1-1-1-2-2111111-2-20-20-22200111100211-1-10020001100-1-1-1-10000000
χ2722222-122-122-1-12-1-2-2-1-1-1-12-12-22-2-21111-1-122-1-1-1-1-1-1220-20-2-2-200111100-21111002000-1-100-1-1110000000
χ2822222-122-122-1-12-1-2-2-1-1-1-12-12-22-2-21111-1-122-1-1-1-1-1-1-2-202022200-1-1-1-100-2111100-2000110011-1-10000000
χ292222-12222-1-122-1-122-1-1-12-12-122-1-12222-1-1-1-122-1-1-1-100202000220000-1-1-1-1-1-1-100022-100-1-10000-1-10-1000
χ302222-12222-1-122-1-122-1-1-12-12-122-1-12222-1-1-1-122-1-1-1-100-20-2000-2-2000011-1-1-1-1-1000-2-21001100001101000
χ312222-12222-1-122-1-122-1-1-12-12-1-2-2-1-122-2-2-1-111-2-2111100202000-2-20000-1-11-1-111000-22-100-1-100001101000
χ322222-12222-1-122-1-122-1-1-12-12-1-2-2-1-122-2-2-1-111-2-2111100-20-2000220000111-1-1110002-2100110000-1-10-1000
χ332222-12222-1-122-1-1-2-2-1-1-12-12-12-211-2-222-1-111-2-2111100202000-2-20000-1-1-111-1-10002-2-100110000110-1000
χ342222-12222-1-122-1-1-2-2-1-1-12-12-12-211-2-222-1-111-2-2111100-20-200022000011-111-1-1000-22100-1-10000-1-101000
χ352222-12222-1-122-1-1-2-2-1-1-12-12-1-2211-2-2-2-2-1-1-1-122-1-1-1-100202000220000-1-111111000-2-2-100110000-1-101000
χ362222-12222-1-122-1-1-2-2-1-1-12-12-1-2211-2-2-2-2-1-1-1-122-1-1-1-100-20-2000-2-20000111111100022100-1-10000110-1000
χ372-22-2222-2-2-2-22-2222i−2i-22-222-2-2002i−2i2i−2i00-22000000002-200002i−2i0000000002i−2i000000002-200002i−2i0000000
χ382-22-2222-2-2-2-22-2222i−2i-22-222-2-2002i−2i2i−2i00-2200000000-220000−2i2i0000000002i−2i00000000-220000−2i2i0000000
χ392-22-2222-2-2-2-22-222−2i2i-22-222-2-200−2i2i−2i2i00-22000000002-20000−2i2i000000000−2i2i000000002-20000−2i2i0000000
χ402-22-2222-2-2-2-22-222−2i2i-22-222-2-200−2i2i−2i2i00-2200000000-2200002i−2i000000000−2i2i00000000-2200002i−2i0000000
χ412-22-22-12-21-2-2-112-12i−2i1-11-121-2002i−2i−ii3−31-100−i3i3−i3−i3i3i32-200002i−2i003−33−3000−ii3−3000000-1100−i3i3−ii0000000
χ422-22-22-12-21-2-2-112-12i−2i1-11-121-2002i−2i−ii3−31-100−i3i3−i3−i3i3i3-220000−2i2i00−33−33000−ii3−30000001-100i3−i3i−i0000000
χ432-22-22-12-21-2-2-112-12i−2i1-11-121-2002i−2i−ii−331-100i3−i3i3i3−i3−i32-200002i−2i00−33−33000−ii−33000000-1100i3−i3−ii0000000
χ442-22-22-12-21-2-2-112-12i−2i1-11-121-2002i−2i−ii−331-100i3−i3i3i3−i3−i3-220000−2i2i003−33−3000−ii−330000001-100−i3i3i−i0000000
χ452-22-22-12-21-2-2-112-1−2i2i1-11-121-200−2i2ii−i3−31-100i3−i3i3i3−i3−i32-20000−2i2i003−33−3000i−i3−3000000-1100i3−i3i−i0000000
χ462-22-22-12-21-2-2-112-1−2i2i1-11-121-200−2i2ii−i3−31-100i3−i3i3i3−i3−i3-2200002i−2i00−33−33000i−i3−30000001-100−i3i3−ii0000000
χ472-22-22-12-21-2-2-112-1−2i2i1-11-121-200−2i2ii−i−331-100−i3i3−i3−i3i3i32-20000−2i2i00−33−33000i−i−33000000-1100−i3i3i−i0000000
χ482-22-22-12-21-2-2-112-1−2i2i1-11-121-200−2i2ii−i−331-100−i3i3−i3−i3i3i3-2200002i−2i003−33−3000i−i−330000001-100i3−i3−ii0000000
χ4944444-2-4-4-244-2-24-200-2-2-22-42-400000000220000000000040-4000022-2-20000000000000000000000000000
χ5044444-2-4-4-244-2-24-200-2-2-22-42-4000000002200000000000-4040000-2-2220000000000000000000000000000
χ514444-24-4-44-2-244-2-200-2-2-2-42-420000000022000000000040-4000000000220000000000-2000000000000000
χ524444-24-4-44-2-244-2-200-2-2-2-42-4200000000220000000000-404000000000-2-200000000002000000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-2-2-211-2-2-2-211110000000000000000-21111000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-2-2-222112222-1-1-1-10000000000000000211-1-1000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-42222-2-2112222-1-1-1-10000000000000000-2-1-111000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-4422222211-2-2-2-2111100000000000000002-1-1-1-1000000000000000000000
χ5744-4-44400-44-4-44-4400-4-44000000000000000000000000000000−2i22i20000000000000000000000000−2i22i200000
χ5844-4-44400-44-4-44-4400-4-440000000000000000000000000000002i2−2i200000000000000000000000002i2−2i200000
χ5944-4-4-2400-4-22-442-20022-200000000000000i6−i600i6−i6i6−i600000000−2i22i2000023−230000000000000000000i2−i200000
χ6044-4-4-2400-4-22-442-20022-200000000000000i6−i600i6−i6i6−i6000000002i2−2i20000−23230000000000000000000−i2i200000
χ6144-4-4-2400-4-22-442-20022-200000000000000−i6i600−i6i6−i6i600000000−2i22i20000−23230000000000000000000i2−i200000
χ6244-4-4-2400-4-22-442-20022-200000000000000−i6i600−i6i6−i6i6000000002i2−2i2000023−230000000000000000000−i2i200000
χ634-44-444-44-4-4-44-44400-44-4-4-444000000004-400000000000000000000000000000000000000000000000000
χ644-44-44-2-442-4-4-224-2002-222-4-2400000000-2200000000000000000023−23−23230000000000000000000000000000
χ654-44-44-2-442-4-4-224-2002-222-4-2400000000-22000000000000000000−232323−230000000000000000000000000000
χ664-44-4-244-4-4224-4-2-24i−4i2-224-2-4200−2i2i4i−4i002-20000000000000000000000000−2i2i00000000000000000000000
χ674-44-4-244-4-4224-4-2-2−4i4i2-224-2-42002i−2i−4i4i002-200000000000000000000000002i−2i00000000000000000000000
χ684-44-4-24-44-4224-4-2-2002-22-424-200000000-22000000000000000000000000000000000000023−2300000000000
χ694-44-4-24-44-4224-4-2-2002-22-424-200000000-220000000000000000000000000000000000000−232300000000000
χ704-44-4-2-24-4222-22-214i−4i-11-1-2-22200−2i2i−2i2i23−23-1100−2i32i3i3i3−i3−i300000000000000000i−i−33000000000000000000000
χ714-44-4-2-24-4222-22-214i−4i-11-1-2-22200−2i2i−2i2i−2323-11002i3−2i3−i3−i3i3i300000000000000000i−i3−3000000000000000000000
χ724-44-4-2-24-4222-22-21−4i4i-11-1-2-222002i−2i2i−2i23−23-11002i3−2i3−i3−i3i3i300000000000000000−ii−33000000000000000000000
χ734-44-4-2-24-4222-22-21−4i4i-11-1-2-222002i−2i2i−2i−2323-1100−2i32i3i3i3−i3−i300000000000000000−ii3−3000000000000000000000
χ744-4-4444004-44-4-4-44004-4-400000000000000000000000000000000000000000004i−4i0000000000000000000
χ754-4-4444004-44-4-4-44004-4-40000000000000000000000000000000000000000000−4i4i0000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-88-40048-84-4-8-40044-40000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-4004-444-44200-2-22000000000000002i6−2i600−i6i6−i6i6000000000000000000000000000000000000000000
χ7988-8-8-4-4004-444-44200-2-2200000000000000−2i62i600i6−i6i6−i6000000000000000000000000000000000000000000
χ808-88-8-4-4-88444-44-4200-22-244-4-4000000002-200000000000000000000000000000000000000000000000000
χ818-8-888-400-4-8844-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-480084-4-8-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-44-44442002-2-200000000000000000032−32−3232000000000000000000000000000000000000000000
χ848-8-88-4-400-44-44442002-2-2000000000000000000−323232−32000000000000000000000000000000000000000000

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