Finite Group Databasebeta

← Group #11866143

Character table — Group #11866143

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order12223344666666344666121212122244444812121212121212122424242424242424224446612121212121212121244246688121212121224242424444628
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111111111111-111-1-111-1-111-1-1111-1-1-1-1-1-1111-1-1-1
χ311111111111111111111111111-1-111111111111111111111-1-111-111-1-11111111-1-1-11-1-11-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-111-1-111-111-1-1-1-11-1-1-1-11-111-1-1-1-111-1-1-1111
χ5111111111111111111111111-1-111-1-111111111111111111111-1-11-1-111-1-111111-1-11-111-111-1-1-1-1-1-111-1-1-11-1-1
χ6111111111111111111111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-11-1-111-1-1-111-1-1-1-1-11111-11-1-11111-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-11111111111-1-1
χ9111111111111111-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11-1-111-1-1-1-11-1-111-1
χ10111111111111111-1-11111111111111-11-1-1-1-1-1-11111111111-1-1-1-11111111-1-1-1-1-111-1-1-1-1111-1-1-1-111111-1-1-1-11
χ11111111111111111-1-1111111111-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-1111-1-111-1-1-1111-11-1-1-111-1-111-111-1-11
χ12111111111111111-1-1111111111-1-111-11-1-1-1-1-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-11-1111-1-1-1-1-1-111-1-1-11111-1
χ13111111111111111-1-11111111-1-111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-111-1-11-1-111-1-11-1-1-11-1111-1-111-1-1-1111-11
χ14111111111111111-1-11111111-1-111-1-1-11-1-1-1-1-1-11111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-111-111-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-11111-1-11111-111-1-111111-1-1-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-11-1-11-11
χ17222222-2-2222222200222-2-2-2-22222-2-200000000-2-2000000000000-22222-2-200000-2-2000000-200000000200000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000000000222-2-2-2-20000022000000200000000-200000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-2000000000000-2-2-222220000022000000-200000000-200000
χ20222222-2-2222222200222-2-2-2-2-2-2-2-22200000000-2-20000000000002-2-2-2-22200000-2-2000000200000000200000
χ2122222-1222-1-1-122-122-1-1-1-12-120022002222-1-122-1-122-1-1-1-1-1-12200200-1-100-1-1-1-1-10020-1-102-1000000-1-1000-100
χ2222222-1222-1-1-122-122-1-1-1-12-12002200-2-222-1-1-2-2-1-1-2-21111112200200-1-1001-1-11100-20-1-10-2-100000011000100
χ2322222-1222-1-1-122-122-1-1-1-12-1200-2-2002222-1-122-1-122-1-1-1-1-1-1-2-200-2001100-1-1-1-1-100-20110-2100000011000100
χ2422222-1222-1-1-122-122-1-1-1-12-1200-2-200-2-222-1-1-2-2-1-1-2-2111111-2-200-20011001-1-111002011021000000-1-1000-100
χ2522222-1222-1-1-122-1-2-2-1-1-1-12-120022002-2-2-21122-1-1-2-2111111-2-200200-1-100-111-1-10020110-2-100000011000-100
χ2622222-1222-1-1-122-1-2-2-1-1-1-12-12002200-22-2-211-2-2-1-122-1-1-1-1-1-1-2-200200-1-1001111100-201102-1000000-1-1000100
χ2722222-1222-1-1-122-1-2-2-1-1-1-12-1200-2-2002-2-2-21122-1-1-2-21111112200-2001100-111-1-100-20-1-1021000000-1-1000100
χ2822222-1222-1-1-122-1-2-2-1-1-1-12-1200-2-200-22-2-211-2-2-1-122-1-1-1-1-1-12200-2001100111110020-1-10-2100000011000-100
χ292222-1222-1222-1-1-122-1-1-12-12-122002222-1-122-1-1-1-1-1-122-1-1-1-100220-1-100-1-12-1-1-1-1000200200-1-1-1-1-1-100000000
χ302222-1222-1222-1-1-122-1-1-12-12-1220022-2-2-1-12211-1-111-2-2111100220-1-100-1-1-2-1-111000-200-200-1-1111100000000
χ312222-1222-1222-1-1-122-1-1-12-12-1-2-200-2-222-1-122-1-1-1-1-1-122-1-1-1-100-2-201100112-1-1-1-1000-200-20011111100000000
χ322222-1222-1222-1-1-122-1-1-12-12-1-2-200-2-2-2-2-1-12211-1-111-2-2111100-2-20110011-2-1-11100020020011-1-1-1-100000000
χ332222-1222-1222-1-1-1-2-2-1-1-12-12-12200222-211-2-2-1-1-1-111-2-2111100-2-20-1-100-1-1211-1-1000200-20011-1-11100000000
χ342222-1222-1222-1-1-1-2-2-1-1-12-12-1220022-2211-2-211-1-1-1-122-1-1-1-100-2-20-1-100-1-1-21111000-2002001111-1-100000000
χ352222-1222-1222-1-1-1-2-2-1-1-12-12-1-2-200-2-22-211-2-2-1-1-1-111-2-2111100220110011211-1-1000-200200-1-111-1-100000000
χ362222-1222-1222-1-1-1-2-2-1-1-12-12-1-2-200-2-2-2211-2-211-1-1-1-122-1-1-1-100220110011-21111000200-200-1-1-1-11100000000
χ372-2-22222-2-22-2-2-2222i−2i-2-2222-2-22-2002-2002i−2i2i−2i002-200000000002i−2i02-2002-202i−2i000000000002i−2i000000000000
χ382-2-22222-2-22-2-2-2222i−2i-2-2222-2-2-2200-22002i−2i2i−2i002-20000000000−2i2i0-2200-2202i−2i00000000000−2i2i000000000000
χ392-2-22222-2-22-2-2-222−2i2i-2-2222-2-22-2002-200−2i2i−2i2i002-20000000000−2i2i02-2002-20−2i2i00000000000−2i2i000000000000
χ402-2-22222-2-22-2-2-222−2i2i-2-2222-2-2-2200-2200−2i2i−2i2i002-200000000002i−2i0-2200-220−2i2i000000000002i−2i000000000000
χ412-2-2222-22-22-2-2-22200-2-22-2-2222-200-2200000000-22000000002-20002-200-220000000002-20000000000002-2000
χ422-2-2222-22-22-2-2-22200-2-22-2-2222-200-2200000000-2200000000-220002-200-22000000000-22000000000000-22000
χ432-2-2222-22-22-2-2-22200-2-22-2-222-22002-200000000-22000000002-2000-22002-20000000002-2000000000000-22000
χ442-2-2222-22-22-2-2-22200-2-22-2-222-22002-200000000-2200000000-22000-22002-2000000000-220000000000002-2000
χ452-2-22-122-212-2-21-1-12i−2i11-12-1-212-2002-200−ii2i−2i−i3i3-113−30033−3−3002i−2i0-1100-110−ii−i3i3000000000−ii−i3i33−300000000
χ462-2-22-122-212-2-21-1-12i−2i11-12-1-212-2002-200−ii2i−2ii3−i3-11−3300−3−333002i−2i0-1100-110−iii3−i3000000000−iii3−i3−3300000000
χ472-2-22-122-212-2-21-1-12i−2i11-12-1-21-2200-2200−ii2i−2i−i3i3-113−30033−3−300−2i2i01-1001-10−ii−i3i3000000000i−ii3−i3−3300000000
χ482-2-22-122-212-2-21-1-12i−2i11-12-1-21-2200-2200−ii2i−2ii3−i3-11−3300−3−33300−2i2i01-1001-10−iii3−i3000000000i−i−i3i33−300000000
χ492-2-22-122-212-2-21-1-1−2i2i11-12-1-212-2002-200i−i−2i2i−i3i3-11−3300−3−33300−2i2i0-1100-110i−i−i3i3000000000i−i−i3i3−3300000000
χ502-2-22-122-212-2-21-1-1−2i2i11-12-1-212-2002-200i−i−2i2ii3−i3-113−30033−3−300−2i2i0-1100-110i−ii3−i3000000000i−ii3−i33−300000000
χ512-2-22-122-212-2-21-1-1−2i2i11-12-1-21-2200-2200i−i−2i2i−i3i3-11−3300−3−333002i−2i01-1001-10i−i−i3i3000000000−iii3−i33−300000000
χ522-2-22-122-212-2-21-1-1−2i2i11-12-1-21-2200-2200i−i−2i2ii3−i3-113−30033−3−3002i−2i01-1001-10i−ii3−i3000000000−ii−i3i3−3300000000
χ5344444-2-4-44-2-2-244-200-2-2-22-42-40044000000000022000000000000-400-2-2000000000000000200000000000000
χ5444444-2-4-44-2-2-244-200-2-2-22-42-400-4-400000000002200000000000040022000000000000000-200000000000000
χ554444-24-4-4-2444-2-2-200-2-2-2-42-424400-4-400000000220000000000000-2-200220000000000000000000000000000
χ564444-24-4-4-2444-2-2-200-2-2-2-42-42-4-40044000000002200000000000002200-2-20000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-200000044-2-2-2-2-2-211-2-2-2-2111100000000000-2111100000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-2000000-4-4-2-2-2-222112222-1-1-1-100000000000211-1-100000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000004-42222-2-2112222-1-1-1-100000000000-2-1-11100000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2000000-4422222211-2-2-2-21111000000000002-1-1-1-100000000000000000000000
χ6144-4-444004-4-44-4-4400-44-4000000000000000000000000000000000000000000004i−4i000000000000000000000
χ6244-4-444004-4-44-4-4400-44-400000000000000000000000000000000000000000000−4i4i000000000000000000000
χ634-44-44400-4-44-44-44004-4-40000004i−4i0000000000000000000000000004i−4i000000000000000000000000000000
χ644-44-44400-4-44-44-44004-4-4000000−4i4i000000000000000000000000000−4i4i000000000000000000000000000000
χ654-44-44-200-42-224-4-200-2220000004i−4i00000000000000i6−i6i6−i6i6−i60000000−2i2i00000000000000000000006−6000000
χ664-44-44-200-42-224-4-200-2220000004i−4i00000000000000−i6i6−i6i6−i6i60000000−2i2i0000000000000000000000−66000000
χ674-44-44-200-42-224-4-200-222000000−4i4i00000000000000i6−i6i6−i6i6−i600000002i−2i0000000000000000000000−66000000
χ684-44-44-200-42-224-4-200-222000000−4i4i00000000000000−i6i6−i6i6−i6i600000002i−2i00000000000000000000006−6000000
χ694-4-444-24-4-4-222-44-24i−4i22-2-242-4000000004i−4i−2i2i00-2200000000000000000000−2i2i0000000000000000000000000
χ704-4-444-24-4-4-222-44-2−4i4i22-2-242-400000000−4i4i2i−2i00-22000000000000000000002i−2i0000000000000000000000000
χ714-4-444-2-44-4-222-44-20022-22-4-24000000000000002-2000000004-4000000000000000000-2200000000000000000
χ724-4-444-2-44-4-222-44-20022-22-4-24000000000000002-200000000-440000000000000000002-200000000000000000
χ734-4-44-24-4424-4-42-2-20022-2-424-24-400-44000000002-20000000000000-22002-20000000000000000000000000000
χ744-4-44-24-4424-4-42-2-20022-2-424-2-44004-4000000002-200000000000002-200-220000000000000000000000000000
χ754-4-44-2-24-42-2222-214i−4i-1-11-2-22200000000−2i2i−2i2i−2i32i31-123−2300−3−333000000000000i−ii3−i300000000000000000000000
χ764-4-44-2-24-42-2222-214i−4i-1-11-2-22200000000−2i2i−2i2i2i3−2i31-1−23230033−3−3000000000000i−i−i3i300000000000000000000000
χ774-4-44-2-24-42-2222-21−4i4i-1-11-2-222000000002i−2i2i−2i−2i32i31-1−23230033−3−3000000000000−iii3−i300000000000000000000000
χ784-4-44-2-24-42-2222-21−4i4i-1-11-2-222000000002i−2i2i−2i2i3−2i31-123−2300−3−333000000000000−ii−i3i300000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-88-400844-4-8-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4800-4-8-8844-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-444-444200-22-2000000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ8388-8-8-4-400-444-444200-22-20000000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ848-88-8-48004-88-8-44-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-44-442002-2-200000000000000000000002i6−2i6−i6i6−i6i6000000000000000000000000000000000000000
χ868-88-8-4-40044-44-442002-2-20000000000000000000000−2i62i6i6−i6i6−i6000000000000000000000000000000000000000
χ878-8-88-4-4-884-4444-4200-2-2244-4-400000000000000-2200000000000000000000000000000000000000000000000

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