Finite Group Databasebeta

← Group #11889255

Character table — Group #11889255

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222224444444444444888888888888881212121212121212121212121212121216161616161624242424242424242424242424242424363636367272
order122233444466666623666121212121212121244666612121212121212122224444412121212121212121212121212124466688121212121224242424888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11111-111-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1111111111111111111111-11-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-11111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-111-1-1-11111-1-1-1-11111-1-1
χ711111111111111111111111111111-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111111111-1-1
χ811111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1111111-1-1-1-111
χ9111111-1-111111111-1111111-1-1-1-1111-1-1-1-1-1-1-11111-1-1111-11-111111111-1-11-111-1-1-1-1111-11-1-1-1-1-111-1-111-1-11-1
χ10111111-1-111111111-1111111-1-1-1-1111-1-1-1-1-1-1-11111-1-111-11-11-1-1-1-1-1-1-1-1111-111-1-11-1-111-111-1-11111-1-1-1-111-11
χ11111111-1-111111111-1111111-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-11-11-111111111-1-11-111-1-1-111-1-11-1-111-1-1-1-111-1-111-11
χ12111111-1-111111111-1111111-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-1-1-1-1111-111-1-111-1-1-11-111111-1-11111-1-11-1
χ13111111-1-111111111-1111111-1-1-1-111-11-1-1-1-111-1-111-1-1111-11-1-1-111-1-1-1-1-1-1-11-1-1111-11111-1-1-1-111-1-111-1-1111-1
χ14111111-1-111111111-1111111-1-1-1-111-11-1-1-1-111-1-111-1-111-11-1111-1-1111111-11-1-111-1-1-1111-11-1-1-1-1-1-11111-1-1-11
χ15111111-1-111111111-1111111-1-1-1-111-11-1-1-1-111-1-111-1-1-1-11-11-1-1-111-1-1-1-1-1-1-11-1-111111-1-1-11-1111111-1-111-1-1-11
χ16111111-1-111111111-1111111-1-1-1-111-11-1-1-1-111-1-111-1-1-1-1-11-1111-1-1111111-11-1-111-11-1-1-1-11111-1-111-1-1-1-1111-1
χ1722222222-2-2222222-22222-2-22222-2-200-2-2-2-20000-2-222002-2-2200-2-20000-2-20000000020000200000000000000
χ1822222222-2-2222222-22222-2-22222-2-200-2-2-2-20000-2-22200-222-2002200002200000000-20000-200000000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022220000-2-2-2-20022-2-200-2-20000220000000020000-200000000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022220000-2-2-2-200-2-22200220000-2-200000000-20000200000000000000
χ2122222-12222-1-122-122-1-1-1-12222-1-1-1-1222-1-1-12222-1-1-1-12200000000000000-1-1-1-1-1-1020-1-1220-1-100-1-1-1-1000000
χ2222222-12222-1-122-122-1-1-1-12222-1-1-1-1222-1-1-12222-1-1-1-1-2-200000000000000-1-1-1-1-1-10-2011-2-2011001111000000
χ2322222-12222-1-122-122-1-1-1-12222-1-1-1-1-2-22-1-1-1-2-2-2-2-1-1-1-12200000000000000111111020-1-1-2-20-1-1001111000000
χ2422222-12222-1-122-122-1-1-1-12222-1-1-1-1-2-22-1-1-1-2-2-2-2-1-1-1-1-2-2000000000000001111110-20112201100-1-1-1-1000000
χ2522222-1-2-222-1-122-12-2-1-1-1-122-2-211-1-12-2-2111-2-222-1-1112200000000000000-11-1-1110-20-1-1-2201100-1-111000000
χ2622222-1-2-222-1-122-12-2-1-1-1-122-2-211-1-12-2-2111-2-222-1-111-2-200000000000000-11-1-111020112-20-1-10011-1-1000000
χ2722222-1-2-222-1-122-12-2-1-1-1-122-2-211-1-1-22-211122-2-2-1-11122000000000000001-111-1-10-20-1-12-20110011-1-1000000
χ2822222-1-2-222-1-122-12-2-1-1-1-122-2-211-1-1-22-211122-2-2-1-111-2-2000000000000001-111-1-102011-220-1-100-1-111000000
χ292222-12222222-1-12-12-1-1-1-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-100222222-1-1-1-1-1-1-1-122-1-1-1-120-10000-100-1-10000000000
χ302222-12222222-1-12-12-1-1-1-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-21111111122-1-1-1-1-2010000100110000000000
χ312222-12222222-1-12-12-1-1-1-1-1-1-1-12222-2-2-12-1-11111-1-1-1-1002222-2-2-1-11111-1-1-2-21111-20-10000-100110000000000
χ322222-12222222-1-12-12-1-1-1-1-1-1-1-12222-2-2-12-1-11111-1-1-1-100-2-2-2-22211-1-1-1-111-2-211112010000100-1-10000000000
χ332222-1222-2-222-1-12-1-2-1-1-1-111-1-122-2-2001-211−i3i3−i3i311-1-1002-2-220011−i3−i3i3i31100−i3i3−i3i300-10000-100−i3i30000000000
χ342222-1222-2-222-1-12-1-2-1-1-1-111-1-122-2-2001-211−i3i3−i3i311-1-100-222-200-1-1i3i3−i3−i3-1-100−i3i3−i3i30010000100i3−i30000000000
χ352222-1222-2-222-1-12-1-2-1-1-1-111-1-122-2-2001-211i3−i3i3−i311-1-1002-2-220011i3i3−i3−i31100i3−i3i3−i300-10000-100i3−i30000000000
χ362222-1222-2-222-1-12-1-2-1-1-1-111-1-122-2-2001-211i3−i3i3−i311-1-100-222-200-1-1−i3−i3i3i3-1-100i3−i3i3−i30010000100−i3i30000000000
χ372222-12-2-22222-1-12-1-2-1-1-1-1-1-111-2-2222-21-21111-1-1-1-111002-22-222-1-1-1-1-1-1112-2-1-111-20-10000100110000000000
χ382222-12-2-22222-1-12-1-2-1-1-1-1-1-111-2-2222-21-21111-1-1-1-11100-22-22-2-2111111-1-12-2-1-1112010000-100-1-10000000000
χ392222-12-2-22222-1-12-1-2-1-1-1-1-1-111-2-222-221-211-1-111-1-111002-22-2-2-2-1-1111111-2211-1-120-10000100-1-10000000000
χ402222-12-2-22222-1-12-1-2-1-1-1-1-1-111-2-222-221-211-1-111-1-11100-22-222211-1-1-1-1-1-1-2211-1-1-2010000-100110000000000
χ412222-12-2-2-2-222-1-12-12-1-1-1-11111-2-2-2-200-12-1-1−i3i3i3−i311110022-2-20011i3i3−i3−i3-1-100i3−i3−i3i300-10000100−i3i30000000000
χ422222-12-2-2-2-222-1-12-12-1-1-1-11111-2-2-2-200-12-1-1−i3i3i3−i3111100-2-22200-1-1−i3−i3i3i31100i3−i3−i3i30010000-100i3−i30000000000
χ432222-12-2-2-2-222-1-12-12-1-1-1-11111-2-2-2-200-12-1-1i3−i3−i3i311110022-2-20011−i3−i3i3i3-1-100−i3i3i3−i300-10000100i3−i30000000000
χ442222-12-2-2-2-222-1-12-12-1-1-1-11111-2-2-2-200-12-1-1i3−i3−i3i3111100-2-22200-1-1i3i3−i3−i31100−i3i3i3−i30010000-100−i3i30000000000
χ452-22-222002-2-2-22-22-202-2-222-200002-200000000002-2002-200002i−2i002i−2i2i−2i000000000002-2000000000002i−2i0000
χ462-22-222002-2-2-22-22-202-2-222-200002-200000000002-2002-20000−2i2i00−2i2i−2i2i000000000002-200000000000−2i2i0000
χ472-22-222002-2-2-22-22-202-2-222-200002-200000000002-200-2200002i−2i002i−2i2i−2i00000000000-2200000000000−2i2i0000
χ482-22-222002-2-2-22-22-202-2-222-200002-200000000002-200-220000−2i2i00−2i2i−2i2i00000000000-22000000000002i−2i0000
χ4944444-244-4-4-2-244-24-4-2-2-2-2-4-444-2-22200-4222000022-2-200000000000000000000000000000000000000000000
χ5044444-2-4-4-4-4-2-244-244-2-2-2-2-4-4-4-42222004-2-2-20000222200000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-241111-2-2-2-2-2-2-2-244-2-211-2-2-2-211110000000000000000-2-211110000000000000000000000
χ524444-2-24444-2-2-2-2-2-241111-2-2-2-2-2-2-2-2-4-4-2-21122221111000000000000000022-1-1-1-10000000000000000000000
χ534444-2-244-4-4-2-2-2-2-2-2-4111122-2-2-2-2220022-1-1−2i32i3−2i32i3-1-111000000000000000000i3−i3i3−i30000000000000000000000
χ544444-2-244-4-4-2-2-2-2-2-2-4111122-2-2-2-2220022-1-12i3−2i32i3−2i3-1-111000000000000000000−i3i3−i3i30000000000000000000000
χ554444-2-2-4-444-2-2-2-2-2-2-41111-2-22222-2-24-422-1-122-2-211-1-10000000000000000-2211-1-10000000000000000000000
χ564444-2-2-4-444-2-2-2-2-2-2-41111-2-22222-2-2-4422-1-1-2-22211-1-100000000000000002-2-1-1110000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-2411112222222200-2-211−2i32i32i3−2i3-1-1-1-1000000000000000000−i3i3i3−i30000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-2411112222222200-2-2112i3−2i3−2i32i3-1-1-1-1000000000000000000i3−i3−i3i30000000000000000000000
χ5944-4-4444i−4i00-44-4-4-4404-44-4004i−4i4i−4i000000000000004i−4i00000000000000000000000000000000000000000000
χ6044-4-444−4i4i00-44-4-4-4404-44-400−4i4i−4i4i00000000000000−4i4i00000000000000000000000000000000000000000000
χ6144-4-44-24i−4i002-2-4-4240-22-22004i−4i−2i2i00000000000000−2i2i0000000000000000000000000000000000i6−i66−6000000
χ6244-4-44-24i−4i002-2-4-4240-22-22004i−4i−2i2i00000000000000−2i2i0000000000000000000000000000000000−i6i6−66000000
χ6344-4-44-2−4i4i002-2-4-4240-22-2200−4i4i2i−2i000000000000002i−2i0000000000000000000000000000000000i6−i6−66000000
χ6444-4-44-2−4i4i002-2-4-4240-22-2200−4i4i2i−2i000000000000002i−2i0000000000000000000000000000000000−i6i66−6000000
χ6544-4-4-244i−4i00-4422-4-20-22-2200−2i2i4i−4i00000000000000−2i2i0000000023−230000−2i32i30000000000000000000000000000
χ6644-4-4-244i−4i00-4422-4-20-22-2200−2i2i4i−4i00000000000000−2i2i00000000−232300002i3−2i30000000000000000000000000000
χ6744-4-4-24−4i4i00-4422-4-20-22-22002i−2i−4i4i000000000000002i−2i0000000023−2300002i3−2i30000000000000000000000000000
χ6844-4-4-24−4i4i00-4422-4-20-22-22002i−2i−4i4i000000000000002i−2i00000000−23230000−2i32i30000000000000000000000000000
χ694-44-44400-44-4-44-44-404-4-44-440000-440000000000-440000000000000000000000000000000000000000000000
χ704-44-44-2004-4224-4-2-40-222-24-40000-220000000000-22004-400000000000000000000000-2200000000000000000
χ714-44-44-2004-4224-4-2-40-222-24-40000-220000000000-2200-44000000000000000000000002-200000000000000000
χ724-44-44-200-44224-4-2-40-222-2-4400002-200000000002-200000000000000000000000000000000−2i32i3000000000000
χ734-44-44-200-44224-4-2-40-222-2-4400002-200000000002-2000000000000000000000000000000002i3−2i3000000000000
χ744-44-4-24004-4-4-4-22420-222-2-2200004-40000000000-22000000004i−4i00−2i2i−2i2i000000000000000000000000000000
χ754-44-4-24004-4-4-4-22420-222-2-2200004-40000000000-2200000000−4i4i002i−2i2i−2i000000000000000000000000000000
χ764-44-4-2400-44-4-4-22420-222-22-20000-4400000000002-200000000000023−23−2323000000000000000000000000000000
χ774-44-4-2400-44-4-4-22420-222-22-20000-4400000000002-2000000000000−232323−23000000000000000000000000000000
χ784-4-444400004-4-44-4-4044-4-400000000000000000000000000000000000000000000000000000000000000−2i22i200
χ794-4-444400004-4-44-4-4044-4-4000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ8088-8-8-4-48i−8i004-4444-402-22-200−4i4i−4i4i000000000000002i−2i00000000000000000000000000000000000000000000
χ8188-8-8-4-4−8i8i004-4444-402-22-2004i−4i4i−4i00000000000000−2i2i00000000000000000000000000000000000000000000
χ828-88-8-4-4008-844-44-4402-2-22-440000-4400000000002-20000000000000000000000000000000000000000000000
χ838-88-8-4-400-8844-44-4402-2-224-400004-40000000000-220000000000000000000000000000000000000000000000
χ848-8-888-40000-44-884-80-4-444000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800008-84-4-840-4-444000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40000-444-444022-2-20000000000006-60000000000000000000000000000000000000000000000000000
χ878-8-88-4-40000-444-444022-2-2000000000000-660000000000000000000000000000000000000000000000000000

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