Finite Group Databasebeta

← Group #11872377

Character table — Group #11872377

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order12223344666666344666121212124444481212121212121212242424242424242424444466881212121212121212122266812121212122424242422448864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-111-1-1-1-1-1-1-11111111111-1111-111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-111-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-111-1-1-11-1-1-1-111-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111111111-1-11111111-1-1-1-111111-11-1-1-11-1-111-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-111-1-11-11111-1-11111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111111-1-1-1-1-111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-11-1-11-1-111-1-111111-1-1111111-11-1-1-1-1-1-1-1-1-1-111-1-111
χ10111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1111-111-1-1-1-111-1-11111-1-111-1-1
χ11111111111111111-1-111111111111-11-1-1-1-1-1-111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-11-1-1-11111-1-111-1-1-1-111
χ13111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-111-11-1-11111-1-111-1-111-1-1111-1
χ14111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-11-1-111-1-1-1-11-111111111-1-111-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-11-111-1111-1-1-1-11111-1-1-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000200-2002200-2-2220000000000-20000000000-220000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000-200200-2-200-2-2220000000000200000000002-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000200-200220022-2-20000000000-200000000002-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000-200200-2-20022-2-2000000000020000000000-220000
χ2122222-122-12-122-1-122-1-1-1-12-120000222222-1-1-1-122-1-1-1-1-1-1200222-1-1220000-1-1-1-1-102000-100-1-100-1-1000000-10
χ2222222-122-12-122-1-122-1-1-1-12-120000222222-1-1-1-122-1-1-1-1-1-1-200-2-2-211-2-20000-1-1-1-1-10-200010011001100000010
χ2322222-122-12-122-1-122-1-1-1-12-120000-2-222-2-2-1-1-1-1-2-2111111200222-1-1-2-200001-1-1110-2000-100-1-1001100000010
χ2422222-122-12-122-1-122-1-1-1-12-120000-2-222-2-2-1-1-1-1-2-2111111-200-2-2-2112200001-1-111020001001100-1-1000000-10
χ2522222-122-12-122-1-1-2-2-1-1-1-12-1200002-2-2-22211-1-1-2-21111112002-2-2-1-1-2-20000-111-1-102000-100110011000000-10
χ2622222-122-12-122-1-1-2-2-1-1-1-12-1200002-2-2-22211-1-1-2-2111111-200-22211220000-111-1-10-2000100-1-100-1-100000010
χ2722222-122-12-122-1-1-2-2-1-1-1-12-120000-22-2-2-2-211-1-122-1-1-1-1-1-12002-2-2-1-1220000111110-2000-1001100-1-100000010
χ2822222-122-12-122-1-1-2-2-1-1-1-12-120000-22-2-2-2-211-1-122-1-1-1-1-1-1-200-22211-2-200001111102000100-1-10011000000-10
χ292222-12222-12-1-12-122-1-1-12-12-1222222-1-1-1-122-1-1-1-122-1-1-1-10220000000-1-1-1-12-1-1-1-120-1-120-1-100-1-10000000000
χ302222-12222-12-1-12-122-1-1-12-12-12222-2-2-1-11122-1-111-2-211110220000000-1-1-1-1-2-1-111-2011-20-1-100110000000000
χ312222-12222-12-1-12-122-1-1-12-12-1-2-2-2-222-1-1-1-122-1-1-1-122-1-1-1-10-2-2000000011112-1-1-1-1-2011-201100110000000000
χ322222-12222-12-1-12-122-1-1-12-12-1-2-2-2-2-2-2-1-11122-1-111-2-211110-2-200000001111-2-1-11120-1-1201100-1-10000000000
χ332222-12222-12-1-12-1-2-2-1-1-12-12-122222-211-1-1-2-2-1-111-2-211110-2-20000000-1-1-1-1211-1-120-1-1-201100110000000000
χ342222-12222-12-1-12-1-2-2-1-1-12-12-12222-221111-2-2-1-1-1-122-1-1-1-10-2-20000000-1-1-1-1-21111-2011201100-1-10000000000
χ352222-12222-12-1-12-1-2-2-1-1-12-12-1-2-2-2-22-211-1-1-2-2-1-111-2-2111102200000001111211-1-1-201120-1-100-1-10000000000
χ362222-12222-12-1-12-1-2-2-1-1-12-12-1-2-2-2-2-221111-2-2-1-1-1-122-1-1-1-102200000001111-2111120-1-1-20-1-100110000000000
χ3722-2-2222-2-2-222-2-2200-22-2-2-2222i−2i2i−2i000000002-20000000000002i−2i00002i−2i2i−2i00000000000002i−2i00002-2000000
χ3822-2-2222-2-2-222-2-2200-22-2-2-2222i−2i2i−2i000000002-2000000000000−2i2i00002i−2i2i−2i0000000000000−2i2i0000-22000000
χ3922-2-2222-2-2-222-2-2200-22-2-2-222−2i2i−2i2i000000002-20000000000002i−2i0000−2i2i−2i2i00000000000002i−2i0000-22000000
χ4022-2-2222-2-2-222-2-2200-22-2-2-222−2i2i−2i2i000000002-2000000000000−2i2i0000−2i2i−2i2i0000000000000−2i2i00002-2000000
χ4122-2-222-22-2-222-2-222i−2i-22-222-2-22i−2i−2i2i002i−2i002i−2i-220000000002-20000000−2i2i2i−2i02i−2i000000002-200000000000000
χ4222-2-222-22-2-222-2-222i−2i-22-222-2-2−2i2i2i−2i002i−2i002i−2i-22000000000-2200000002i−2i−2i2i02i−2i00000000-2200000000000000
χ4322-2-222-22-2-222-2-22−2i2i-22-222-2-22i−2i−2i2i00−2i2i00−2i2i-22000000000-220000000−2i2i2i−2i0−2i2i00000000-2200000000000000
χ4422-2-222-22-2-222-2-22−2i2i-22-222-2-2−2i2i2i−2i00−2i2i00−2i2i-220000000002-200000002i−2i−2i2i0−2i2i000000002-200000000000000
χ4522-2-2-12-22-212-11-2-12i−2i1-112-1-212i−2i−2i2i00−ii3−32i−2i1-1−i3i300−i3−i3i3i302-20000000i−i−ii0−ii3−300−i3i300-11003−30000000000
χ4622-2-2-12-22-212-11-2-12i−2i1-112-1-212i−2i−2i2i00−ii−332i−2i1-1i3−i300i3i3−i3−i302-20000000i−i−ii0−ii−3300i3−i300-1100−330000000000
χ4722-2-2-12-22-212-11-2-12i−2i1-112-1-21−2i2i2i−2i00−ii3−32i−2i1-1−i3i300−i3−i3i3i30-220000000−iii−i0−ii3−300i3−i3001-100−330000000000
χ4822-2-2-12-22-212-11-2-12i−2i1-112-1-21−2i2i2i−2i00−ii−332i−2i1-1i3−i300i3i3−i3−i30-220000000−iii−i0−ii−3300−i3i3001-1003−30000000000
χ4922-2-2-12-22-212-11-2-1−2i2i1-112-1-212i−2i−2i2i00i−i3−3−2i2i1-1i3−i300i3i3−i3−i30-220000000i−i−ii0i−i3−300−i3i3001-100−330000000000
χ5022-2-2-12-22-212-11-2-1−2i2i1-112-1-212i−2i−2i2i00i−i−33−2i2i1-1−i3i300−i3−i3i3i30-220000000i−i−ii0i−i−3300i3−i3001-1003−30000000000
χ5122-2-2-12-22-212-11-2-1−2i2i1-112-1-21−2i2i2i−2i00i−i3−3−2i2i1-1i3−i300i3i3−i3−i302-20000000−iii−i0i−i3−300i3−i300-11003−30000000000
χ5222-2-2-12-22-212-11-2-1−2i2i1-112-1-21−2i2i2i−2i00i−i−33−2i2i1-1−i3i300−i3−i3i3i302-20000000−iii−i0i−i−3300−i3i300-1100−330000000000
χ5344444-2-4-4-24-244-2-200-2-2-22-42-40000000000002200000000400-400-2-2000000000000000020000000000000000
χ5444444-2-4-4-24-244-2-200-2-2-22-42-40000000000002200000000-400400220000000000000000-20000000000000000
χ554444-24-4-44-24-2-24-200-2-2-2-42-4244-4-4000000002200000000000000000022-2-2000000000000000000000000000
χ564444-24-4-44-24-2-24-200-2-2-2-42-42-4-4440000000022000000000000000000-2-222000000000000000000000000000
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
χ6144-4-44-24-42-4-24-42-2002-222-4-24000000000000-220000000000004i−4i000000000000000000000−2i2i000000000000
χ6244-4-44-24-42-4-24-42-2002-222-4-24000000000000-22000000000000−4i4i0000000000000000000002i−2i000000000000
χ6344-4-44-2-442-4-24-42-24i−4i2-22-242-40000004i−4i00−2i2i2-200000000000000000000000−2i2i000000000000000000000000
χ6444-4-44-2-442-4-24-42-2−4i4i2-22-242-4000000−4i4i002i−2i2-2000000000000000000000002i−2i000000000000000000000000
χ6544-4-4-244-4-424-22-4-2002-22-424-24i−4i4i−4i00000000-22000000000000000000−2i2i−2i2i000000000000000000000000000
χ6644-4-4-244-4-424-22-4-2002-22-424-2−4i4i−4i4i00000000-220000000000000000002i−2i2i−2i000000000000000000000000000
χ6744-4-4-2-2-4422-2-22214i−4i-11-1-2-222000000−2i2i23−23−2i2i-11−2i32i300i3i3−i3−i3000000000000000i−i−330000000000000000000000
χ6844-4-4-2-2-4422-2-22214i−4i-11-1-2-222000000−2i2i−2323−2i2i-112i3−2i300−i3−i3i3i3000000000000000i−i3−30000000000000000000000
χ6944-4-4-2-2-4422-2-2221−4i4i-11-1-2-2220000002i−2i23−232i−2i-112i3−2i300−i3−i3i3i3000000000000000−ii−330000000000000000000000
χ7044-4-4-2-2-4422-2-2221−4i4i-11-1-2-2220000002i−2i−23232i−2i-11−2i32i300i3i3−i3−i3000000000000000−ii3−30000000000000000000000
χ714-44-44400-4-4-4-444400-4-44000000000000000000000000000000000022−2200000000000000000000022−2200000000
χ724-44-44400-4-4-4-444400-4-440000000000000000000000000000000000−2222000000000000000000000−222200000000
χ734-44-44-2002-42-44-2-20022-200000000000000000000i6−i6i6−i6i6−i6000000−2i32i322−22000000000000000000000−2200000000
χ744-44-44-2002-42-44-2-20022-200000000000000000000i6−i6i6−i6i6−i60000002i3−2i3−22220000000000000000000002−200000000
χ754-44-44-2002-42-44-2-20022-200000000000000000000−i6i6−i6i6−i6i6000000−2i32i3−22220000000000000000000002−200000000
χ764-44-44-2002-42-44-2-20022-200000000000000000000−i6i6−i6i6−i6i60000002i3−2i322−22000000000000000000000−2200000000
χ774-4-44440044-4-4-4-44004-4-4000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ784-4-44440044-4-4-4-44004-4-40000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4-48-844-4-444200-22-244-4-40000000000002-20000000000000000000000000000000000000000000000000
χ818-88-8-4800-84-84-48-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004444-4-4200-2-22000000000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000
χ838-88-8-4-4004444-4-4200-2-2200000000000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000
χ848-8-888-400-484-8-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48008-4-844-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-4-444442002-2-2000000000000000000000032−32−323200000000000000000000000000000000000000000
χ878-8-88-4-400-4-444442002-2-20000000000000000000000−323232−3200000000000000000000000000000000000000000

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