Finite Group Databasebeta

← Group #11781266

Character table — Group #11781266

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444444444444666666666666888888888888888881212121212121212121212121212121212122424242424244848487272144
order1222334444666666121212123466688881212121212121212121212122424242424242424888824242424242424241212121212242424242424242424242424224466668812121212242424248824242424266884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-111-1
χ61111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-11
χ71111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111111-1-1-1-1-11
χ81111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111111-1
χ922222222-2-222222222222-222200002-2-2-2-2-222222-200000000222222222222-2-2-2-2-200000000000000000000-2-20000-2-2-2-2000000000000
χ1022222222-2-222222222222-222200002-2-2-2-2-222222-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000002200002222000000000000
χ11222222-2-222222222-2-2-2-22-22220000-2222-2-2-2-2-2-2-2200000000000000000000-222-2-200000000000022-2-2222200-2-2-2-20000000000000000
χ12222222-2-222222222-2-2-2-22-22220000-2222-2-2-2-2-2-2-2200000000000000000000-222-2-2000000000000-2-222-2-2-2-20022220000000000000000
χ13222222-2-2-2-2222222-2-2-2-2222222i2i−2i−2i-2-2-2-222-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000000002-2-2222i2i2i2i2i2i−2i−2i−2i−2i−2i−2i000000000000000000000000000000
χ14222222-2-2-2-2222222-2-2-2-222222−2i−2i2i2i-2-2-2-222-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000002-2-222−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i000000000000000000000000000000
χ1522222-1222222-1-1-122222-12-1-1-12222-122-122-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-12-1-1000
χ1622222-1222222-1-1-122222-12-1-1-12222-122-122-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-21111-211000
χ1722222-1222222-1-1-122222-12-1-1-1-2-2-2-2-122-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-111111111111100000000000000000022-1-1-1-1-211000
χ1822222-1222222-1-1-122222-12-1-1-1-2-2-2-2-122-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1111111111111000000000000000000-2-211112-1-1000
χ1922222-1-2-2-2-222-1-1-12-2-2-2-2-12-1-1-12i2i−2i−2i1-2-21221111112i2i2i2i−2i−2i−2i−2i000000000000-111-1-1−i−i−i−i−i−iiiiiii0000000000000000000033−3−30−i3i3000
χ2022222-1-2-2-2-222-1-1-12-2-2-2-2-12-1-1-12i2i−2i−2i1-2-21221111112i2i2i2i−2i−2i−2i−2i000000000000-111-1-1−i−i−i−i−i−iiiiiii00000000000000000000−3−3330i3−i3000
χ2122222-1-2-2-2-222-1-1-12-2-2-2-2-12-1-1-1−2i−2i2i2i1-2-2122111111−2i−2i−2i−2i2i2i2i2i000000000000-111-1-1iiiiii−i−i−i−i−i−i0000000000000000000033−3−30i3−i3000
χ2222222-1-2-2-2-222-1-1-12-2-2-2-2-12-1-1-1−2i−2i2i2i1-2-2122111111−2i−2i−2i−2i2i2i2i2i000000000000-111-1-1iiiiii−i−i−i−i−i−i00000000000000000000−3−3330−i3i3000
χ232222-122222-1-1222-1-1-1-1-1-12-1-1-122222-1-12-1-1-1-12-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1000000000000
χ242222-122222-1-1222-1-1-1-1-1-12-1-1-122222-1-12-1-1-1-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2111111112-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-21111-2-211111111000000000000
χ252222-122222-1-1222-1-1-1-1-1-12-1-1-1-2-2-2-22-1-12-1-1-1-12-1-12111111112222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-2-21111-2-2-2-21111221111-1-1-1-1000000000000
χ262222-122222-1-1222-1-1-1-1-1-12-1-1-1-2-2-2-22-1-12-1-1-1-12-1-1211111111-2-2-2-2111111112-1-1-1-1-2-21111-2-211112222-1-1-1-1-2-2-1-1-1-11111000000000000
χ272222-1222-2-2-1-1222-1-1-1-1-1-1-2-1-1-10000211-211-1-12-1-1-2−i3−i3i3i3−i3−i3i3i32222-1-1-1-1-1-1-1-1-2111100−i3−i3i3i300−i3−i3i3i30000−i3−i3i3i3-2-2−i3−i3i3i31111000000000000
χ282222-1222-2-2-1-1222-1-1-1-1-1-1-2-1-1-10000211-211-1-12-1-1-2−i3−i3i3i3−i3−i3i3i3-2-2-2-211111111-2111100−i3−i3i3i300−i3−i3i3i30000i3i3−i3−i322i3i3−i3−i3-1-1-1-1000000000000
χ292222-1222-2-2-1-1222-1-1-1-1-1-1-2-1-1-10000211-211-1-12-1-1-2i3i3−i3−i3i3i3−i3−i32222-1-1-1-1-1-1-1-1-2111100i3i3−i3−i300i3i3−i3−i30000i3i3−i3−i3-2-2i3i3−i3−i31111000000000000
χ302222-1222-2-2-1-1222-1-1-1-1-1-1-2-1-1-10000211-211-1-12-1-1-2i3i3−i3−i3i3i3−i3−i3-2-2-2-211111111-2111100i3i3−i3−i300i3i3−i3−i30000−i3−i3i3i322−i3−i3i3i3-1-1-1-1000000000000
χ312222-12-2-222-1-1222-11111-1-2-1-1-10000-2-1-121111-211233−3−3−3−33300003333−3−3−3−3-2-1-1110033−3−300−3−33322-2-2-1-1-1-100111133−3−3000000000000
χ322222-12-2-222-1-1222-11111-1-2-1-1-10000-2-1-121111-211233−3−3−3−3330000−3−3−3−33333-2-1-1110033−3−300−3−333-2-222111100-1-1-1-1−3−333000000000000
χ332222-12-2-222-1-1222-11111-1-2-1-1-10000-2-1-121111-2112−3−33333−3−300003333−3−3−3−3-2-1-11100−3−3330033−3−3-2-222111100-1-1-1-133−3−3000000000000
χ342222-12-2-222-1-1222-11111-1-2-1-1-10000-2-1-121111-2112−3−33333−3−30000−3−3−3−33333-2-1-11100−3−3330033−3−322-2-2-1-1-1-1001111−3−333000000000000
χ352222-12-2-2-2-2-1-1222-11111-12-1-1-12i2i−2i−2i-211-2-1-111-211-2−i−i−i−iiiii00003333−3−3−3−3211-1-12i2i−i−i−i−i−2i−2iiiii0000−i3−i3i3i300i3i3−i3−i3−3−333000000000000
χ362222-12-2-2-2-2-1-1222-11111-12-1-1-12i2i−2i−2i-211-2-1-111-211-2−i−i−i−iiiii0000−3−3−3−33333211-1-12i2i−i−i−i−i−2i−2iiiii0000i3i3−i3−i300−i3−i3i3i333−3−3000000000000
χ372222-12-2-2-2-2-1-1222-11111-12-1-1-1−2i−2i2i2i-211-2-1-111-211-2iiii−i−i−i−i00003333−3−3−3−3211-1-1−2i−2iiiii2i2i−i−i−i−i0000i3i3−i3−i300−i3−i3i3i3−3−333000000000000
χ382222-12-2-2-2-2-1-1222-11111-12-1-1-1−2i−2i2i2i-211-2-1-111-211-2iiii−i−i−i−i0000−3−3−3−33333211-1-1−2i−2iiiii2i2i−i−i−i−i0000−i3−i3i3i300i3i3−i3−i333−3−3000000000000
χ3922-2-222002-22-22-2-2-20000202-2-22−22−202-2-2000000022−22−22−22−2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i202-2002−22−22−22−22−22−2002i−2i0000−i2i22i−2i2i−2i−i2i2−i2i2000000000000
χ4022-2-222002-22-22-2-2-20000202-2-22−22−202-2-2000000022−22−22−22−2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i202-2002−22−22−22−22−22−200−2i2i0000i2−i2−2i2i−2i2ii2−i2i2−i2000000000000
χ4122-2-222002-22-22-2-2-20000202-2-2−22−2202-2-200000002−22−22−22−22−i2−i2i2i2−i2−i2i2i2−i2−i2i2i202-200−22−22−22−22−22−2200−2i2i0000−i2i2−2i2i−2i2i−i2i2−i2i2000000000000
χ4222-2-222002-22-22-2-2-20000202-2-2−22−2202-2-200000002−22−22−22−22i2i2−i2−i2i2i2−i2−i2i2i2−i2−i202-200−22−22−22−22−22−22002i−2i0000i2−i22i−2i2i−2ii2−i2i2−i2000000000000
χ4322-2-22200-222-22-2-2-20000202-2-2−i2i2i2−i20-2220000000-2−i2i2−i2i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20-2200−i2i2−i2i2−i2i2i2−i2i2−i2i2−i22-2002-22-2i2−i20000i2−i2i2−i2000000000000
χ4422-2-22200-222-22-2-2-20000202-2-2−i2i2i2−i20-2220000000-2−i2i2−i2i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20-2200−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2-2200-22-22−i2i20000−i2i2−i2i2000000000000
χ4522-2-22200-222-22-2-2-20000202-2-2i2−i2−i2i20-2220000000-2i2−i2i2−i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20-2200i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2-2200-22-22i2−i20000i2−i2i2−i2000000000000
χ4622-2-22200-222-22-2-2-20000202-2-2i2−i2−i2i20-2220000000-2i2−i2i2−i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20-2200i2−i2i2−i2i2−i2−i2i2−i2i2−i2i22-2002-22-2−i2i20000−i2i2−i2i2000000000000
χ4722-2-2-12002-2-112-2-213−33−3-10-1112−22−20-11-23−33−303−32ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230-113−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7002i−2ii3−i3−i3i3−i2i2−ii−iiζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ4822-2-2-12002-2-112-2-213−33−3-10-1112−22−20-11-23−33−303−32ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230-113−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700−2i2i−i3i3i3−i3i2−i2i−ii−i−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ4922-2-2-12002-2-112-2-213−33−3-10-111−22−220-11-23−33−303−32−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230-113−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700−2i2i−i3i3i3−i3−i2i2i−ii−iζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ5022-2-2-12002-2-112-2-213−33−3-10-111−22−220-11-23−33−303−32−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230-113−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7002i−2ii3−i3−i3i3i2−i2−ii−ii−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ5122-2-2-12002-2-112-2-21−33−33-10-1112−22−20-11-2−33−330−332ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70-11−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23002i−2i−i3i3i3−i3−i2i2−ii−iiζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ5222-2-2-12002-2-112-2-21−33−33-10-1112−22−20-11-2−33−330−332ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70-11−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300−2i2ii3−i3−i3i3i2−i2i−ii−i−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ5322-2-2-12002-2-112-2-21−33−33-10-111−22−220-11-2−33−330−332−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70-11−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300−2i2ii3−i3−i3i3−i2i2i−ii−iζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ5422-2-2-12002-2-112-2-21−33−33-10-111−22−220-11-2−33−330−332−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70-11−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23002i−2i−i3i3i3−i3i2−i2−ii−ii−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ5522-2-2-1200-22-112-2-213−33−3-10-111−i2i2i2−i201-12−333−303−3-2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2301-1−33−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ72-200-11-11i2−i2−333−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ5622-2-2-1200-22-112-2-213−33−3-10-111−i2i2i2−i201-12−333−303−3-2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2301-1−33−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7-22001-11-1−i2i23−3−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ5722-2-2-1200-22-112-2-213−33−3-10-111i2−i2−i2i201-12−333−303−3-2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2301-1−33i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7-22001-11-1i2−i23−3−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.