Finite Group Databasebeta

← Group #11873310

Character table — Group #11873310

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order12223344666666344666121212124444481212121212121212242424242424242424444466881212121212121212124481212121212121224242424444488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-111-1-1-1-1-1-1-1111111111-1111111-1-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-111-1-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-111-1-11-1-111-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111111111-1-11111111-1-1-1-1111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-111-1-1-111-1-11111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1111-1-111-1-1-111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-11-1-11-1-111-1-111111-1-11111-1-1-1111-1-1-1-1-1-111-1-1-1-111
χ10111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-111-11-1-1-111-111-1-111-1-11111-1-1
χ11111111111111111-1-111111111111-11-1-1-1-1-1-111111111111-1-11-1-111111111-1-1-1-1-1-1-11-1-1-1-11-1-1111111-1-111-1-1
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-111-1-111
χ13111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-1111-1111-1-11-1-111-1-1-1-111111-1
χ14111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-11-1-111-1-1111-1-1-111111111-1-1-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-111-1-111-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-111-1-1-1-111-1-1111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000200-200220022-2-2000000000000-2000000-22000000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000-200200-2-20022-2-200000000000020000002-2000000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000200-2002200-2-222000000000000-20000002-2000000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000-200200-2-200-2-2220000000000002000000-22000000
χ2122222-122-12-122-1-122-1-1-12-12-10000222222-1-1-1-122-1-1-1-1-1-1200222-1-1220000-1-1-1-1-12000000-1-1-100-1-1000000-10
χ2222222-122-12-122-1-122-1-1-12-12-10000222222-1-1-1-122-1-1-1-1-1-1-200-2-2-211-2-20000-1-1-1-1-1-2000000111001100000010
χ2322222-122-12-122-1-122-1-1-12-12-10000-2-222-2-2-1-1-1-1-2-2111111200222-1-1-2-200001-1-111-2000000-1-1-1001100000010
χ2422222-122-12-122-1-122-1-1-12-12-10000-2-222-2-2-1-1-1-1-2-2111111-200-2-2-2112200001-1-111200000011100-1-1000000-10
χ2522222-122-12-122-1-1-2-2-1-1-12-12-100002-2-2-22211-1-1-2-21111112002-2-2-1-1-2-20000-111-1-12000000-1110011000000-10
χ2622222-122-12-122-1-1-2-2-1-1-12-12-100002-2-2-22211-1-1-2-2111111-200-22211220000-111-1-1-20000001-1-100-1-100000010
χ2722222-122-12-122-1-1-2-2-1-1-12-12-10000-22-2-2-2-211-1-122-1-1-1-1-1-12002-2-2-1-122000011111-2000000-11100-1-100000010
χ2822222-122-12-122-1-1-2-2-1-1-12-12-10000-22-2-2-2-211-1-122-1-1-1-1-1-1-200-22211-2-200001111120000001-1-10011000000-10
χ292222-12222-12-1-12-122-1-1-1-12-12222222-1-1-1-122-1-1-1-122-1-1-1-10220000000-1-1-1-12-1-1-1-1022-1-1-1-1000-1-10000000000
χ302222-12222-12-1-12-122-1-1-1-12-122222-2-2-1-11122-1-111-2-211110220000000-1-1-1-1-2-1-1110-2-2-1-111000110000000000
χ312222-12222-12-1-12-122-1-1-1-12-12-2-2-2-222-1-1-1-122-1-1-1-122-1-1-1-10-2-2000000011112-1-1-1-10-2-21111000110000000000
χ322222-12222-12-1-12-122-1-1-1-12-12-2-2-2-2-2-2-1-11122-1-111-2-211110-2-200000001111-2-1-11102211-1-1000-1-10000000000
χ332222-12222-12-1-12-1-2-2-1-1-1-12-1222222-211-1-1-2-2-1-111-2-211110-2-20000000-1-1-1-1211-1-102-211-1-1000110000000000
χ342222-12222-12-1-12-1-2-2-1-1-1-12-122222-221111-2-2-1-1-1-122-1-1-1-10-2-20000000-1-1-1-1-211110-221111000-1-10000000000
χ352222-12222-12-1-12-1-2-2-1-1-1-12-12-2-2-2-22-211-1-1-2-2-1-111-2-2111102200000001111211-1-10-22-1-111000-1-10000000000
χ362222-12222-12-1-12-1-2-2-1-1-1-12-12-2-2-2-2-221111-2-2-1-1-1-122-1-1-1-102200000001111-2111102-2-1-1-1-1000110000000000
χ372-22-2222-2-22-2-2-22200-2-22-2-2222i−2i2i−2i000000002-20000000000002-200002i−2i2i−2i00000000000002-20000002i−2i0000
χ382-22-2222-2-22-2-2-22200-2-22-2-2222i−2i2i−2i000000002-2000000000000-2200002i−2i2i−2i0000000000000-22000000−2i2i0000
χ392-22-2222-2-22-2-2-22200-2-22-2-222−2i2i−2i2i000000002-20000000000002-20000−2i2i−2i2i00000000000002-2000000−2i2i0000
χ402-22-2222-2-22-2-2-22200-2-22-2-222−2i2i−2i2i000000002-2000000000000-220000−2i2i−2i2i0000000000000-220000002i−2i0000
χ412-22-222-22-22-2-2-2222-2-2-2222-2-22i−2i−2i2i002-2002-2-220000000002i−2i00000002i−2i−2i2i02-2000002i−2i00000000000000000
χ422-22-222-22-22-2-2-2222-2-2-2222-2-2−2i2i2i−2i002-2002-2-22000000000−2i2i0000000−2i2i2i−2i02-200000−2i2i00000000000000000
χ432-22-222-22-22-2-2-222-22-2-2222-2-22i−2i−2i2i00-2200-22-22000000000−2i2i00000002i−2i−2i2i0-2200000−2i2i00000000000000000
χ442-22-222-22-22-2-2-222-22-2-2222-2-2−2i2i2i−2i00-2200-22-220000000002i−2i0000000−2i2i2i−2i0-22000002i−2i00000000000000000
χ452-22-2-12-22-2-1-2112-12-211-1-121-22i−2i−2i2i00-11−i3i32-21-1−i3i300−i3−i3i3i302i−2i0000000−iii−i0-11−i3i3000−ii3−30003−30000000000
χ462-22-2-12-22-2-1-2112-12-211-1-121-22i−2i−2i2i00-11i3−i32-21-1i3−i300i3i3−i3−i302i−2i0000000−iii−i0-11i3−i3000−ii−33000−330000000000
χ472-22-2-12-22-2-1-2112-12-211-1-121-2−2i2i2i−2i00-11−i3i32-21-1−i3i300−i3−i3i3i30−2i2i0000000i−i−ii0-11−i3i3000i−i−33000−330000000000
χ482-22-2-12-22-2-1-2112-12-211-1-121-2−2i2i2i−2i00-11i3−i32-21-1i3−i300i3i3−i3−i30−2i2i0000000i−i−ii0-11i3−i3000i−i3−30003−30000000000
χ492-22-2-12-22-2-1-2112-1-2211-1-121-22i−2i−2i2i001-1−i3i3-221-1i3−i300i3i3−i3−i30−2i2i0000000−iii−i01-1−i3i3000i−i3−3000−330000000000
χ502-22-2-12-22-2-1-2112-1-2211-1-121-22i−2i−2i2i001-1i3−i3-221-1−i3i300−i3−i3i3i30−2i2i0000000−iii−i01-1i3−i3000i−i−330003−30000000000
χ512-22-2-12-22-2-1-2112-1-2211-1-121-2−2i2i2i−2i001-1−i3i3-221-1i3−i300i3i3−i3−i302i−2i0000000i−i−ii01-1−i3i3000−ii−330003−30000000000
χ522-22-2-12-22-2-1-2112-1-2211-1-121-2−2i2i2i−2i001-1i3−i3-221-1−i3i300−i3−i3i3i302i−2i0000000i−i−ii01-1i3−i3000−ii3−3000−330000000000
χ5344444-2-4-4-24-244-2-200-2-2-2-42-420000000000002200000000400-400-2-2000000000000000000200000000000000
χ5444444-2-4-4-24-244-2-200-2-2-2-42-420000000000002200000000-40040022000000000000000000-200000000000000
χ554444-24-4-44-24-2-24-200-2-2-22-42-444-4-40000000022000000000000000000-2-222000000000000000000000000000
χ564444-24-4-44-24-2-24-200-2-2-22-42-4-4-444000000002200000000000000000022-2-2000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-222-2-2112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-422-2-222112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44400-4-444-4-44004-4-400000000000000000000000000000000000000000000000000000000000000022−2200
χ6244-4-44400-4-444-4-44004-4-4000000000000000000000000000000000000000000000000000000000000000−222200
χ634-44-44-24-4242-4-4-2-20022-2-424-2000000000000-220000000000004-4000000000000000000000-22000000000000
χ644-44-44-24-4242-4-4-2-20022-2-424-2000000000000-22000000000000-440000000000000000000002-2000000000000
χ654-44-44-2-44242-4-4-2-24-422-24-2-420000004-400-222-200000000000000000000000-22000000000000000000000000
χ664-44-44-2-44242-4-4-2-2-4422-24-2-42000000-44002-22-2000000000000000000000002-2000000000000000000000000
χ674-44-4-244-4-4-2-4224-20022-22-4-244i−4i4i−4i00000000-22000000000000000000−2i2i−2i2i000000000000000000000000000
χ684-44-4-244-4-4-2-4224-20022-22-4-24−4i4i−4i4i00000000-220000000000000000002i−2i2i−2i000000000000000000000000000
χ694-44-4-2-2-442-2222-214-4-1-11-2-222000000-22−2i32i3-22-11−2i32i300i3i3−i3−i30000000000000001-1i3−i30000000000000000000000
χ704-44-4-2-2-442-2222-214-4-1-11-2-222000000-222i3−2i3-22-112i3−2i300−i3−i3i3i30000000000000001-1−i3i30000000000000000000000
χ714-44-4-2-2-442-2222-21-44-1-11-2-2220000002-2−2i32i32-2-112i3−2i300−i3−i3i3i3000000000000000-11i3−i30000000000000000000000
χ724-44-4-2-2-442-2222-21-44-1-11-2-2220000002-22i3−2i32-2-11−2i32i300i3i3−i3−i3000000000000000-11−i3i30000000000000000000000
χ734-4-4444004-4-4-44-4400-44-4000000000000000000000000000000000022−2200000000000000000000022−2200000000
χ744-4-4444004-4-4-44-4400-44-40000000000000000000000000000000000−2222000000000000000000000−222200000000
χ754-4-444-200-2-42-442-2002-2200000000000000000000i6−i6i6−i6i6−i6000000−2i32i322−22000000000000000000000−2200000000
χ764-4-444-200-2-42-442-2002-2200000000000000000000i6−i6i6−i6i6−i60000002i3−2i3−22220000000000000000000002−200000000
χ774-4-444-200-2-42-442-2002-2200000000000000000000−i6i6−i6i6−i6i6000000−2i32i3−22220000000000000000000002−200000000
χ784-4-444-200-2-42-442-2002-2200000000000000000000−i6i6−i6i6−i6i60000002i3−2i322−22000000000000000000000−2200000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-4004-8-48-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4800-848-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-40044-4-4442002-2-2000000000000000000000032−32−323200000000000000000000000000000000000000000
χ8388-8-8-4-40044-4-4442002-2-20000000000000000000000−323232−3200000000000000000000000000000000000000000
χ848-88-8-4-48-84-4444-4200-2-2244-4-40000000000002-20000000000000000000000000000000000000000000000000
χ858-8-88-480084-84-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-4444-44200-22-2000000000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000
χ878-8-88-4-400-4444-44200-22-200000000000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000

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