Finite Group Databasebeta

← Group #11888028

Character table — Group #11888028

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222224444444444444446666666688888888888881212121212121212121212121212121212121212121216161616161624242424242424363636363636484872
order1222334444666666236666612121212121212124444888844666121212121212121224448812121212121212122424242424242424121212121212444612121222888812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1111-1-1-1-1111111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-111-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111-1-1-1-11111-1-1111-1-1-1-11111-1-11111-1-11111-1-111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11
χ71111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111111-1
χ9111111-1-111111111-11-1-111111-1-11-1-1111-1-111111-1-1-1-1-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-11-11-1111-1-111-1-1-111
χ10111111-1-111111111-11-1-111111-1-11-1-1111-1-11111-11-1-1-111-1-111-1-1-1111-1-1-1-11111111111-1-1-1-1-11-1-111-11-1-11-1-11111-1-11-1-1
χ11111111-1-111111111-11-1-111111-1-11-1-1111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-11-1-111-1-1-1-1-1-111-1-1-1-111111-111-1-111-1-111111-1-1111-1-1
χ12111111-1-111111111-11-1-111111-1-11-1-1111-1-1-1-1-1-1-11-1-1-111-1-111-1-1-111111-1-1111111-1-1-1-11111-11-1-111-1-11-11-1-1-1-1-1-111-111
χ13111111-1-111111111-11-1-111111-1-11-1-11-1-11111111-1-1-1-1-1-11111-1-11-111-1-1111111-1-11111-1-1-1-11-111-1-1-1-111-1-1-111-1-111-11-1
χ14111111-1-111111111-11-1-111111-1-11-1-11-1-1111111-11-1-1-111-1-111-1-11-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-11111-11-111-1-1-1-1111-11
χ15111111-1-111111111-11-1-111111-1-11-1-11-1-111-1-1-1-11-1-1-1-1-1-11111-1-11-11111111111-1-1-1-1-1-111111-111-1-1-11-11-1-1-1-1-111-1-11-11
χ16111111-1-111111111-11-1-111111-1-11-1-11-1-111-1-1-1-1-11-1-1-111-1-111-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1111-111-1111111-1-1-11-1
χ1722222222-2-2222222-22-2-2222-2-222-222-22222000000-2-2-20000-2-222-2-200002200002200000000000000000-2-200000000000
χ1822222222-2-2222222-22-2-2222-2-222-222-2-2-2-2-2000000-2-2-20000-2-222220000-2-20000-2-2000000000000000002200000000000
χ19222222-2-2-2-22222222222222-2-2-2-2-2-2-2-222-2-20000002220000-2-2-2-22-20000-2-2000022000000000000000002-200000000000
χ20222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2220000002220000-2-2-2-2-220000220000-2-200000000000000000-2200000000000
χ2122222-122222-12-12-12-122-1-1-1-1-1-1-122222222000022-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-1-1-1-1-10000000022-1-1-1-1200-1-1-1-1000000000
χ2222222-122222-12-12-12-122-1-1-1-1-1-1-1222222220000-2-2-1-1-11111-1-1-1-122-2-200-1-11111-1-100000000-2-21111-200-1-111000000000
χ2322222-122222-12-12-12-122-1-1-1-1-1-1-12222-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200111111110000000022-1-1-1-1-2001111000000000
χ2422222-122222-12-12-12-122-1-1-1-1-1-1-12222-2-2-2-20000-2-2-1-1-11111-1-1-1-1-2-2220011-1-1-1-11100000000-2-2111120011-1-1000000000
χ2522222-122-2-22-12-12-1-2-1-2-2-1-1-111-1-1-222-22222000000111−i3i3−i3i311-1-1-2-20000-1-1−i3−i3i3i3-1-10000000000−i3i3−i3i300011−i3i3000000000
χ2622222-122-2-22-12-12-1-2-1-2-2-1-1-111-1-1-222-22222000000111i3−i3i3−i311-1-1-2-20000-1-1i3i3−i3−i3-1-10000000000i3−i3i3−i300011i3−i3000000000
χ2722222-122-2-22-12-12-1-2-1-2-2-1-1-111-1-1-222-2-2-2-2-2000000111−i3i3−i3i311-1-122000011i3i3−i3−i3110000000000−i3i3−i3i3000-1-1i3−i3000000000
χ2822222-122-2-22-12-12-1-2-1-2-2-1-1-111-1-1-222-2-2-2-2-2000000111i3−i3i3−i311-1-122000011−i3−i3i3i3110000000000i3−i3i3−i3000-1-1−i3i3000000000
χ2922222-1-2-2222-12-12-1-2-1-2-2-1-1-1-1-1112-2-2222-2-200002-211111-1-1-1-111-22-2-200111111-1-1000000002-2-1-1112001-1-1-1000000000
χ3022222-1-2-2222-12-12-1-2-1-2-2-1-1-1-1-1112-2-2222-2-20000-22111-1-111-1-111-22220011-1-1-1-1-1-100000000-2211-1-1-2001-111000000000
χ3122222-1-2-2222-12-12-1-2-1-2-2-1-1-1-1-1112-2-22-2-22200002-211111-1-1-1-1112-22200-1-1-1-1-1-111000000002-2-1-111-200-1111000000000
χ3222222-1-2-2222-12-12-1-2-1-2-2-1-1-1-1-1112-2-22-2-2220000-22111-1-111-1-1112-2-2-200-1-111111100000000-2211-1-1200-11-1-1000000000
χ3322222-1-2-2-2-22-12-12-12-122-1-1-11111-2-2-2-222-2-2000000-1-1-1−i3i3i3−i311112-2000011−i3−i3i3i3-1-10000000000i3−i3−i3i3000-11i3−i3000000000
χ3422222-1-2-2-2-22-12-12-12-122-1-1-11111-2-2-2-222-2-2000000-1-1-1i3−i3−i3i311112-2000011i3i3−i3−i3-1-10000000000−i3i3i3−i3000-11−i3i3000000000
χ3522222-1-2-2-2-22-12-12-12-122-1-1-11111-2-2-2-2-2-222000000-1-1-1−i3i3i3−i31111-220000-1-1i3i3−i3−i3110000000000i3−i3−i3i30001-1−i3i3000000000
χ3622222-1-2-2-2-22-12-12-12-122-1-1-11111-2-2-2-2-2-222000000-1-1-1i3−i3−i3i31111-220000-1-1−i3−i3i3i3110000000000−i3i3i3−i30001-1i3−i3000000000
χ372222-122222-12-12-122-1-1-1-1-1-12222-1-1-1-100002222222-1-12222-1-1-1-100002200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-10220000000000-1-10
χ382222-122222-12-12-122-1-1-1-1-1-12222-1-1-1-100002222-2-22-1-1-2-2-2-2-1-1-1-100002200000000-1-1-1-1-1-1-1-11111110-2-20000000000110
χ392222-122222-12-12-122-1-1-1-1-1-12222-1-1-1-10000-2-2-2-2222-1-12222-1-1-1-10000-2-20000000011111111-1-1-1-1-1-10-2-20000000000110
χ402222-122222-12-12-122-1-1-1-1-1-12222-1-1-1-10000-2-2-2-2-2-22-1-1-2-2-2-2-1-1-1-10000-2-200000000111111111111110220000000000-1-10
χ412222-12-2-222-12-12-12-2-111-1-1-122-2-2-111-1000022222-2-211-2-222-1-1110000-2-200000000-1-1-1-11111-11-1-1110-2200000000001-10
χ422222-12-2-222-12-12-12-2-111-1-1-122-2-2-111-100002222-22-21122-2-2-1-1110000-2-200000000-1-1-1-111111-111-1-102-20000000000-110
χ432222-12-2-222-12-12-12-2-111-1-1-122-2-2-111-10000-2-2-2-22-2-211-2-222-1-111000022000000001111-1-1-1-1-11-1-11102-20000000000-110
χ442222-12-2-222-12-12-12-2-111-1-1-122-2-2-111-10000-2-2-2-2-22-21122-2-2-1-111000022000000001111-1-1-1-11-111-1-10-2200000000001-10
χ452-22-2222i−2i00-2-22-2-220200-22-2002i−2i02i−2i02-22i−2i−i2−i2i2i2000000000002i−2i00002−22i−2i00002-2−i2−i2i2i222−2−2000000000000000−i2i22−2000
χ462-22-2222i−2i00-2-22-2-220200-22-2002i−2i02i−2i02-22i−2ii2i2−i2−i2000000000002i−2i0000−222i−2i00002-2i2i2−i2−i2−2−222000000000000000i2−i2−22000
χ472-22-2222i−2i00-2-22-2-220200-22-2002i−2i02i−2i0-22−2i2i−i2−i2i2i2000000000002i−2i00002−2−2i2i0000-22−i2−i2i2i222−2−2000000000000000i2−i2−22000
χ482-22-2222i−2i00-2-22-2-220200-22-2002i−2i02i−2i0-22−2i2ii2i2−i2−i2000000000002i−2i0000−22−2i2i0000-22i2i2−i2−i2−2−222000000000000000−i2i22−2000
χ492-22-222−2i2i00-2-22-2-220200-22-200−2i2i0−2i2i02-2−2i2i−i2−i2i2i200000000000−2i2i0000−22−2i2i00002-2−i2−i2i2i2−2−222000000000000000−i2i2−22000
χ502-22-222−2i2i00-2-22-2-220200-22-200−2i2i0−2i2i02-2−2i2ii2i2−i2−i200000000000−2i2i00002−2−2i2i00002-2i2i2−i2−i222−2−2000000000000000i2−i22−2000
χ512-22-222−2i2i00-2-22-2-220200-22-200−2i2i0−2i2i0-222i−2i−i2−i2i2i200000000000−2i2i0000−222i−2i0000-22−i2−i2i2i2−2−222000000000000000i2−i22−2000
χ522-22-222−2i2i00-2-22-2-220200-22-200−2i2i0−2i2i0-222i−2ii2i2−i2−i200000000000−2i2i00002−22i−2i0000-22i2i2−i2−i222−2−2000000000000000−i2i2−22000
χ532-2-2222002-2-22-2-22-20200-2-222-200200-200002i−2i2i−2i0000000002-200002i−2i00002i−2i2i−2i002i−2i2i−2i000000000000000002-20000000
χ542-2-2222002-2-22-2-22-20200-2-222-200200-200002i−2i2i−2i0000000002-20000−2i2i0000−2i2i−2i2i002i−2i2i−2i00000000000000000-220000000
χ552-2-2222002-2-22-2-22-20200-2-222-200200-20000−2i2i−2i2i0000000002-200002i−2i00002i−2i2i−2i00−2i2i−2i2i00000000000000000-220000000
χ562-2-2222002-2-22-2-22-20200-2-222-200200-20000−2i2i−2i2i0000000002-20000−2i2i0000−2i2i−2i2i00−2i2i−2i2i000000000000000002-20000000
χ574444-2444-4-4-24-24-24-4-222-2-2-2-4-4442-2-220000000000-422000022-2-200000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-24-24-244-2-2-2-2-2-2-4-4-4-4222200000000004-2-20000222200000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-241-2-2111-2-2-2-2-2-2-2-20000000044-211-2-2-2-211110000000000000000000000-2-211110000000000000000
χ604444-2-24444-2-2-2-2-2-241-2-2111-2-2-2-2-2-2-2-200000000-4-4-21122221111000000000000000000000022-1-1-1-10000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2-412211122-2-22-2-2200000000002-1-1−2i32i3−2i32i3-1-111000000000000000000000000i3−i3i3−i30000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2-412211122-2-22-2-2200000000002-1-12i3−2i32i3−2i3-1-111000000000000000000000000−i3i3−i3i30000000000000000
χ634444-2-2-4-444-2-2-2-2-2-2-4122111-2-222-222-2000000004-42-1-122-2-211-1-10000000000000000000000-2211-1-10000000000000000
χ644444-2-2-4-444-2-2-2-2-2-2-4122111-2-222-222-200000000-442-1-1-2-22211-1-100000000000000000000002-2-1-1110000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-241-2-2111222222220000000000-211−2i32i32i3−2i3-1-1-1-1000000000000000000000000−i3i3i3−i30000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-241-2-2111222222220000000000-2112i3−2i3−2i32i3-1-1-1-1000000000000000000000000i3−i3−i3i30000000000000000
χ6744-4-44400004-4-44-4-404004-4-400000000000022−22−222200000000000000000000000000022−22−222200000000000000000000000000
χ6844-4-44400004-4-44-4-404004-4-4000000000000−222222−22000000000000000000000000000−222222−2200000000000000000000000000
χ6944-4-4-240000-2-4242-40-2−2i32i3-22200000000000022−22−2222000−2i32i30000000000000000000000−222−2i6−i6i6−i60000000000000000000000
χ7044-4-4-240000-2-4242-40-2−2i32i3-222000000000000−222222−22000−2i32i300000000000000000000002−2−22−i6i6−i6i60000000000000000000000
χ7144-4-4-240000-2-4242-40-22i3−2i3-22200000000000022−22−22220002i3−2i30000000000000000000000−222−2−i6i6−i6i60000000000000000000000
χ7244-4-4-240000-2-4242-40-22i3−2i3-222000000000000−222222−220002i3−2i300000000000000000000002−2−22i6−i6i6−i60000000000000000000000
χ734-44-44-24i−4i00-4242-4-20-2002-2200−2i2i04i−4i04-44i−4i000000000000000−2i2i000000−2i2i0000-22000000000000000000000000000000
χ744-44-44-24i−4i00-4242-4-20-2002-2200−2i2i04i−4i0-44−4i4i000000000000000−2i2i0000002i−2i00002-2000000000000000000000000000000
χ754-44-44-2−4i4i00-4242-4-20-2002-22002i−2i0−4i4i04-4−4i4i0000000000000002i−2i0000002i−2i0000-22000000000000000000000000000000
χ764-44-44-2−4i4i00-4242-4-20-2002-22002i−2i0−4i4i0-444i−4i0000000000000002i−2i000000−2i2i00002-2000000000000000000000000000000
χ774-44-4-244i−4i002-4-2-4240-2002-22004i−4i0−2i2i00000−2i2−2i22i22i200000000000−2i2i000022−2200000000i2i2−i2−i2−2−2220000000000000000000000
χ784-44-4-244i−4i002-4-2-4240-2002-22004i−4i0−2i2i000002i22i2−2i2−2i200000000000−2i2i0000−222200000000−i2−i2i2i222−2−20000000000000000000000
χ794-44-4-24−4i4i002-4-2-4240-2002-2200−4i4i02i−2i00000−2i2−2i22i22i2000000000002i−2i0000−222200000000i2i2−i2−i222−2−20000000000000000000000
χ804-44-4-24−4i4i002-4-2-4240-2002-2200−4i4i02i−2i000002i22i2−2i2−2i2000000000002i−2i000022−2200000000−i2−i2i2i2−2−2220000000000000000000000
χ814-4-444400-44-44-4-44-40400-4-44-4400-400400000000000000000-440000000000000000000000000000000000000000000000
χ824-4-444-2004-4-4-2-42420-20022-2-2200400-400000000000000000-2200004i−4i0000−2i2i−2i2i00000000000000000000000000000000
χ834-4-444-2004-4-4-2-42420-20022-2-2200400-400000000000000000-220000−4i4i00002i−2i2i−2i00000000000000000000000000000000
χ844-4-444-200-44-4-2-42420-20022-22-200-4004000000000000000002-2000000000023−23−232300000000000000000000000000000000
χ854-4-444-200-44-4-2-42420-20022-22-200-4004000000000000000002-20000000000−232323−2300000000000000000000000000000000
χ864-4-44-24004-4242-4-2-40-20022-24-400-200200004i−4i4i−4i000000000-220000000000000000−2i2i−2i2i00000000000000000000000000
χ874-4-44-24004-4242-4-2-40-20022-24-400-20020000−4i4i−4i4i000000000-2200000000000000002i−2i2i−2i00000000000000000000000000
χ884-4-44-2400-44242-4-2-40-20022-2-4400200-2000000000000000002-200000000000000000000−2i32i32i3−2i30000000000000000000000
χ894-4-44-2400-44242-4-2-40-20022-2-4400200-2000000000000000002-2000000000000000000002i3−2i3−2i32i30000000000000000000000
χ9088-8-88-4000084-8-4-840-400-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-40000-444-44402−4i34i32-2-200000000000000000002i3−2i30000000000000000000000000000000000000000000000000000
χ9288-8-8-4-40000-444-444024i3−4i32-2-20000000000000000000−2i32i30000000000000000000000000000000000000000000000000000
χ938-88-8-4-48i−8i0044-444-40200-22-200−4i4i0−4i4i000000000000000000002i−2i00000000000000000000000000000000000000000000
χ948-88-8-4-4−8i8i0044-444-40200-22-2004i−4i04i−4i00000000000000000000−2i2i00000000000000000000000000000000000000000000
χ958-8-88-4-4008-84-444-440200-2-22-4400-4004000000000000000002-20000000000000000000000000000000000000000000000
χ968-8-88-4-400-884-444-440200-2-224-400400-400000000000000000-220000000000000000000000000000000000000000000000

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