Finite Group Databasebeta

← Group #11889426

Character table — Group #11889426

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order12223344666666344666121212124812121212121212122424242424242424244444668888121212121212121212224441212121212121224242424412448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111111-1-1-1-11111111-1-11-1-1-11111-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-111-1-1-1-1-1-1-11111-1-111111-1-1-1111-1-1-1-111-1-111-11-1-1-1
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
χ5111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-111-1-11111-1111-1-111-1-1-1-11-11-1-1
χ6111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-111-111-1-1-1-11-11-111-1-1-1-1-1-111-11-111
χ7111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-111-111-1-111-1-111-1-1-111-1-1-1-1-11-11-1-1111111-1-1-1-1-111
χ8111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-11-1-1-111-1-11111111-1-1
χ9111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-11111-1-111-1-111-1-1-1-1-1-111-11-1
χ10111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111111-1-111-1-1111-1-111-1-1-11-1-1-1-11111-1-111-1-11-11
χ11111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-11-1-111-1-11-11111-1-1-1-111-1-1-111-11
χ12111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111111-1-111-1-11111111-1-11-1
χ13111111111111111-1-11111111-11-1-1-1-1-1-111111111111111-1-11111111111-1-1-1-1-111-1-1-11-1-1-1-1-1-111111-1-1-11
χ14111111111111111-1-11111111-11-1-1-1-1-1-111111111111-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1111-1
χ15111111111111111-1-11111111-11-1-1-1-1-1-11111111111-111-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-111-1
χ16111111111111111-1-11111111-11-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-1-1-111-1-11
χ17222222-2-2222222200222-2-2-2-200000000-2-20000000022-2-200220000-2-2-2-2000002200020000000000-20000
χ18222222-2-2222222200222-2-2-2-200000000-2-2000000002-22-20022000022-2-200000-2-2000-2000000000020000
χ19222222-2-2222222200222-2-2-2-200000000-2-200000000-22-2200-2-20000-2-22200000-2-20002000000000020000
χ20222222-2-2222222200222-2-2-2-200000000-2-200000000-2-22200-2-2000022220000022000-20000000000-20000
χ2122222-122-122-1-12-122-1-1-1-12-1222-1-122-1-1-1-122-1-1-1-1-1-1200222-1-1220000-1-12-1-1-1-1002000-1-1-1-100-1-10000000
χ2222222-122-122-1-12-122-1-1-1-12-1222-1-122-1-1-1-122-1-1-1-1-1-1-200-2-2-211-2-20000112-1-1-1-100-2000111100110000000
χ2322222-122-122-1-12-122-1-1-1-12-12-2-2-1-12211-1-1-2-21111112002-2-2-1-1-2-20000-1-1-2-1-111002000-1-11100110000000
χ2422222-122-122-1-12-122-1-1-1-12-12-2-2-1-12211-1-1-2-2111111-200-2221122000011-2-1-11100-200011-1-100-1-10000000
χ2522222-122-122-1-12-1-2-2-1-1-1-12-122-211-2-2-1-1-1-1-2-2111111200222-1-1-2-20000-1-1211-1-100-200011-1-100110000000
χ2622222-122-122-1-12-1-2-2-1-1-1-12-122-211-2-2-1-1-1-1-2-2111111-200-2-2-21122000011211-1-1002000-1-11100-1-10000000
χ2722222-122-122-1-12-1-2-2-1-1-1-12-12-2211-2-211-1-122-1-1-1-1-1-12002-2-2-1-1220000-1-1-2111100-2000111100-1-10000000
χ2822222-122-122-1-12-1-2-2-1-1-1-12-12-2211-2-211-1-122-1-1-1-1-1-1-200-22211-2-2000011-21111002000-1-1-1-100110000000
χ292222-12222-1-122-1-122-1-1-12-12-12222-1-122-1-1-1-122-1-1-1-1022000000022-1-100-1-1-1-1-100022-10000-1-100-1-10-1000
χ302222-12222-1-122-1-122-1-1-12-12-12222-1-122-1-1-1-122-1-1-1-10-2-20000000-2-21100-1-1-1-1-1000-2-21000011001101000
χ312222-12222-1-122-1-122-1-1-12-12-1-2-222-1-1-2-2-1-111-2-211110220000000-2-2-1-1001-1-1110002-2-10000-1-1001101000
χ322222-12222-1-122-1-122-1-1-12-12-1-2-222-1-1-2-2-1-111-2-211110-2-200000002211001-1-111000-22100001100-1-10-1000
χ332222-12222-1-122-1-1-2-2-1-1-12-12-12-2-2-21122-1-111-2-211110220000000-2-2-1-100-111-1-1000-22-100001100110-1000
χ342222-12222-1-122-1-1-2-2-1-1-12-12-12-2-2-21122-1-111-2-211110-2-20000000221100-111-1-10002-210000-1-100-1-101000
χ352222-12222-1-122-1-1-2-2-1-1-12-12-1-22-2-211-2-2-1-1-1-122-1-1-1-1022000000022-1-10011111000-2-2-100001100-1-101000
χ362222-12222-1-122-1-1-2-2-1-1-12-12-1-22-2-211-2-2-1-1-1-122-1-1-1-10-2-20000000-2-21100111110002210000-1-100110-1000
χ372-2-2222-22-2-2-2-22222i−2i-2-2222-2-2002i−2i2i−2i002-20000000000002-2002i−2i00000002i−2i00000000002-2002i−2i0000000
χ382-2-2222-22-2-2-2-22222i−2i-2-2222-2-2002i−2i2i−2i002-2000000000000-2200−2i2i00000002i−2i0000000000-2200−2i2i0000000
χ392-2-2222-22-2-2-2-2222−2i2i-2-2222-2-200−2i2i−2i2i002-20000000000002-200−2i2i0000000−2i2i00000000002-200−2i2i0000000
χ402-2-2222-22-2-2-2-2222−2i2i-2-2222-2-200−2i2i−2i2i002-2000000000000-22002i−2i0000000−2i2i0000000000-22002i−2i0000000
χ412-2-222-1-221-2-21-12-12i−2i11-1-121-200−ii2i−2i−i3i3-11003−333−3−300002-2−i3i32i−2i0000−i3i30−ii−i3i30000003−3-1100−ii0000000
χ422-2-222-1-221-2-21-12-12i−2i11-1-121-200−ii2i−2i−i3i3-11003−333−3−30000-22i3−i3−2i2i0000i3−i30−ii−i3i3000000−331-100i−i0000000
χ432-2-222-1-221-2-21-12-12i−2i11-1-121-200−ii2i−2ii3−i3-1100−33−3−33300002-2i3−i32i−2i0000i3−i30−iii3−i3000000−33-1100−ii0000000
χ442-2-222-1-221-2-21-12-12i−2i11-1-121-200−ii2i−2ii3−i3-1100−33−3−3330000-22−i3i3−2i2i0000−i3i30−iii3−i30000003−31-100i−i0000000
χ452-2-222-1-221-2-21-12-1−2i2i11-1-121-200i−i−2i2i−i3i3-1100−33−3−33300002-2−i3i3−2i2i0000−i3i30i−i−i3i3000000−33-1100i−i0000000
χ462-2-222-1-221-2-21-12-1−2i2i11-1-121-200i−i−2i2i−i3i3-1100−33−3−3330000-22i3−i32i−2i0000i3−i30i−i−i3i30000003−31-100−ii0000000
χ472-2-222-1-221-2-21-12-1−2i2i11-1-121-200i−i−2i2ii3−i3-11003−333−3−300002-2i3−i3−2i2i0000i3−i30i−ii3−i30000003−3-1100i−i0000000
χ482-2-222-1-221-2-21-12-1−2i2i11-1-121-200i−i−2i2ii3−i3-11003−333−3−30000-22−i3i32i−2i0000−i3i30i−ii3−i3000000−331-100−ii0000000
χ4944444-2-4-4-244-2-24-200-2-2-22-42-4000000002200000000400-400-2-20000002200000000000000000000000000
χ5044444-2-4-4-244-2-24-200-2-2-22-42-4000000002200000000-40040022000000-2-200000000000000000000000000
χ514444-24-4-44-2-244-2-200-2-2-2-42-4200000000220000000004-400000000022000000000000-2000000000000000
χ524444-24-4-44-2-244-2-200-2-2-2-42-420000000022000000000-44000000000-2-20000000000002000000000000000
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
χ5744-4-444004-44-4-4-4400-44-400000000000000000000000000000000000000000004-40000000000000000000
χ5844-4-444004-44-4-4-4400-44-40000000000000000000000000000000000000000000-440000000000000000000
χ594-44-44400-44-44-4-44004-4-40000000000000000000000000000000022−220000000000000000000000022−2200000
χ604-44-44400-44-44-4-44004-4-400000000000000000000000000000000−222200000000000000000000000−222200000
χ614-44-4-2400-4-224-42-200-22200000000000000i6−i600i6−i6i6−i6000000000022−22−2i32i3000000000000000000000−2200000
χ624-44-4-2400-4-224-42-200-22200000000000000i6−i600i6−i6i6−i60000000000−22222i3−2i30000000000000000000002−200000
χ634-44-4-2400-4-224-42-200-22200000000000000−i6i600−i6i6−i6i6000000000022−222i3−2i3000000000000000000000−2200000
χ644-44-4-2400-4-224-42-200-22200000000000000−i6i600−i6i6−i6i60000000000−2222−2i32i30000000000000000000002−200000
χ654-4-44444-4-4-4-4-444400-4-44-4-44400000000-4400000000000000000000000000000000000000000000000000
χ664-4-444-24-42-4-42-24-20022-22-4-24000000002-200000000000000−2i32i30000002i3−2i300000000000000000000000000
χ674-4-444-24-42-4-42-24-20022-22-4-24000000002-2000000000000002i3−2i3000000−2i32i300000000000000000000000000
χ684-4-44-244-4-422-44-2-20022-2-424-2000000002-2000000000000000000000000000000000000000−2i32i3000000000
χ694-4-44-244-4-422-44-2-20022-2-424-2000000002-20000000000000000000000000000000000000002i3−2i3000000000
χ704-4-44-24-44-422-44-2-24i−4i22-24-2-42004i−4i−2i2i00-220000000000000000000000000−2i2i00000000000000000000000
χ714-4-44-24-44-422-44-2-2−4i4i22-24-2-4200−4i4i2i−2i00-2200000000000000000000000002i−2i00000000000000000000000
χ724-4-44-2-2-442222-2-214i−4i-1-11-2-22200−2i2i−2i2i−2i32i31-10023−23−3−33300000000000000000i−ii3−i3000000000000000000000
χ734-4-44-2-2-442222-2-214i−4i-1-11-2-22200−2i2i−2i2i2i3−2i31-100−232333−3−300000000000000000i−i−i3i3000000000000000000000
χ744-4-44-2-2-442222-2-21−4i4i-1-11-2-222002i−2i2i−2i−2i32i31-100−232333−3−300000000000000000−iii3−i3000000000000000000000
χ754-4-44-2-2-442222-2-21−4i4i-1-11-2-222002i−2i2i−2i2i3−2i31-10023−23−3−33300000000000000000−ii−i3i3000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-88-400-4-8844-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-480084-4-8-84-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-44-4444200-22-2000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000
χ8088-8-8-4-400-44-4444200-22-20000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000
χ818-88-88-40048-8-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-44-4442002-2-2000000000000002i6−2i600−i6i6−i6i6000000000000000000000000000000000000000000
χ838-88-8-4-4004-44-4442002-2-200000000000000−2i62i600i6−i6i6−i6000000000000000000000000000000000000000000
χ848-8-88-4-48-84444-4-4200-2-2244-4-400000000-2200000000000000000000000000000000000000000000000000

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