Finite Group Databasebeta

← Group #11780253

Character table — Group #11780253

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444444444444444444444444444444444444444444444412122424242424242424242424242436364848484848727272
order12223344446666661212121234666888812121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444244668812122424242444412121212488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111
χ51111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-111-111-1-11-1-1
χ61111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-1-1-11-1-111-111
χ71111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-111-1-1-111
χ81111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1111-1-1
χ92222222-22-222222222222-2222000022-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000002200000-200
χ102222222-22-222222222222-2222000022-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000-2-200000200
χ11222222-22-22222222-2-2-2-22-22220000-2-22222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000022-200-2-2002200000000000000
χ12222222-22-22222222-2-2-2-22-22220000-2-22222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-22002200-2-200000000000000
χ13222222-2-2-2-2222222-2-2-2-2222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000002-200000000000002-200000
χ14222222-2-2-2-2222222-2-2-2-2222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000-220000000000000-2200000
χ1522222-1222222-1-1-12-1-1-1-1-12-1-1-1222222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122200-1-122-1-1-1-1-1-10000000000
χ1622222-1222222-1-1-12-1-1-1-1-12-1-1-1222222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20011-2-21111110000000000
χ1722222-1222222-1-1-12-1-1-1-1-12-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111122200-1-1-2-2-1-111110000000000
χ1822222-1222222-1-1-12-1-1-1-1-12-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-2-200112211-1-1-1-10000000000
χ1922222-1-22-2222-1-1-121111-1-2-1-1-10000-2-2-1-1221111-1-1-1-1-2-211111100000000333333333333−3−3−3−3−3−3−3−3−3−3−3−322-2001100-1-133−3−30000000000
χ2022222-1-22-2222-1-1-121111-1-2-1-1-10000-2-2-1-1221111-1-1-1-1-2-211111100000000333333333333−3−3−3−3−3−3−3−3−3−3−3−3-2-2200-1-10011−3−3330000000000
χ2122222-1-22-2222-1-1-121111-1-2-1-1-10000-2-2-1-1221111-1-1-1-1-2-211111100000000−3−3−3−3−3−3−3−3−3−3−3−333333333333322-2001100-1-1−3−3330000000000
χ2222222-1-22-2222-1-1-121111-1-2-1-1-10000-2-2-1-1221111-1-1-1-1-2-211111100000000−3−3−3−3−3−3−3−3−3−3−3−3333333333333-2-2200-1-1001133−3−30000000000
χ232222-122222-1-1222-12222-12-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000220000000000002-1-1-1-1000
χ242222-122222-1-1222-12222-12-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000-2-2000000000000-21111000
χ252222-122222-1-1222-12222-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-111111111-2-2-2-211111111-2-2-2-21111111100022000000000000-2-1-111000
χ262222-122222-1-1222-12222-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-111111111-2-2-2-211111111-2-2-2-211111111000-2-2000000000000211-1-1000
χ272222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-1000011-2-21111111111-1-122-1-1-1-1−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i30002-20000000000000-11−i3i3000
χ282222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-1000011-2-21111111111-1-122-1-1-1-1−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i3000-2200000000000001-1i3−i3000
χ292222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-1000011-2-21111111111-1-122-1-1-1-1i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i30002-20000000000000-11i3−i3000
χ302222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-1000011-2-21111111111-1-122-1-1-1-1i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i3000-2200000000000001-1−i3i3000
χ312-22-222020-2-2-22-2-220000202-2-222−2−2002-22-2000022-2-20000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−22i−2i00000−i2i22i−2i−i2i2−i2i20000000000
χ322-22-222020-2-2-22-2-220000202-2-222−2−2002-22-2000022-2-20000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2−2i2i00000i2−i2−2i2ii2−i2i2−i20000000000
χ332-22-222020-2-2-22-2-220000202-2-2−2−222002-22-2000022-2-200000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2222i−2i00000i2−i22i−2ii2−i2i2−i20000000000
χ342-22-222020-2-2-22-2-220000202-2-2−2−222002-22-2000022-2-200000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2i2i00000−i2i2−2i2i−i2i2−i2i20000000000
χ352-22-22-1020-2-2-2-11123−33−3-10-11122−2−200-112-233−3−3-1-111003−333−3−322−2−222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ232i−2i000−i3i3−i2i2−iiζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000
χ362-22-22-1020-2-2-2-11123−33−3-10-11122−2−200-112-233−3−3-1-111003−333−3−322−2−222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−2i2i000i3−i3i2−i2i−i−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000
χ372-22-22-1020-2-2-2-11123−33−3-10-111−2−22200-112-233−3−3-1-111003−333−3−3−2−222−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ232i−2i000−i3i3i2−i2−ii−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000
χ382-22-22-1020-2-2-2-11123−33−3-10-111−2−22200-112-233−3−3-1-111003−333−3−3−2−222−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−2i2i000i3−i3−i2i2i−iζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000
χ392-22-22-1020-2-2-2-1112−33−33-10-11122−2−200-112-2−3−333-1-11100−33−3−33322−2−222−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ72i−2i000i3−i3−i2i2−iiζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000
χ402-22-22-1020-2-2-2-1112−33−33-10-11122−2−200-112-2−3−333-1-11100−33−3−33322−2−222−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−2i2i000−i3i3i2−i2i−i−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000
χ412-22-22-1020-2-2-2-1112−33−33-10-111−2−22200-112-2−3−333-1-11100−33−3−333−2−222−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ72i−2i000i3−i3i2−i2−ii−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000
χ422-22-22-1020-2-2-2-1112−33−33-10-111−2−22200-112-2−3−333-1-11100−33−3−333−2−222−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−2i2i000−i3i3−i2i2i−iζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000
χ432-2-2222-20202-2-2-22-2-2-22220-22-22−22−22-200002-22-20000000000002−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−20000000000000002i−2i000000−i2i2
χ442-2-2222-20202-2-2-22-2-2-22220-22-22−22−22-200002-22-20000000000002−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−2000000000000000−2i2i000000i2−i2
χ452-2-2222-20202-2-2-22-2-2-22220-22-2−22−222-200002-22-2000000000000−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−220000000000000002i−2i000000i2−i2
χ462-2-2222-20202-2-2-22-2-2-22220-22-2−22−222-200002-22-2000000000000−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22000000000000000−2i2i000000−i2i2
χ4744444-24-44-444-2-2-24-2-2-2-2-2-4-2-2-200004422-4-4-2-2-2-22222-4-4222222000000000000000000000000000000000000000000000000000000000
χ4844444-2-4-4-4-444-2-2-242222-24-2-2-20000-4-422-4-42222222244-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000
χ494444-244-44-4-2-2444-24444-2-4-2-2-20000-2-2-4-422-2-2-2-2222222-4-42222000000000000000000000000000000000000000000000000000000000
χ504444-24-44-44-2-2444-2-4-4-4-4-2-4-2-2-200002244-2-22222-2-2-2-222-4-42222000000000000000000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-2-2-2-2-2141114444-2-2-2-2-2-211111111-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2111111110000000000000000000000000
χ524444-2-24444-2-2-2-2-2-2-2-2-2-214111-4-4-4-4-2-2-2-2-2-211111111-2-2-2-21111222222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000000
χ534444-2-24-44-4-2-2-2-2-2-2-2-2-2-21-41110000-2-222221111-1-1-1-12222-1-1-1-10000000000003i3i3i3i−3i−3i−3i−3i0000−3i−3i−3i−3i3i3i3i3i0000000000000000000000000
χ544444-2-24-44-4-2-2-2-2-2-2-2-2-2-21-41110000-2-222221111-1-1-1-12222-1-1-1-1000000000000−3i−3i−3i−3i3i3i3i3i00003i3i3i3i−3i−3i−3i−3i0000000000000000000000000
χ554444-2-2-44-44-2-2-2-2-2-222221-4111000022-2-2-2-2-1-1-1-111112222-1-1-1-10000000023232323−3−3−3−3−3−3−3−3−23−23−23−23333333330000000000000000000000000
χ564444-2-2-44-44-2-2-2-2-2-222221-4111000022-2-2-2-2-1-1-1-111112222-1-1-1-100000000−23−23−23−233333333323232323−3−3−3−3−3−3−3−30000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-22222141110000222222-1-1-1-1-1-1-1-1-2-2-2-21111−2i3−2i3−2i3−2i32i32i32i32i30000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-22222141110000222222-1-1-1-1-1-1-1-1-2-2-2-211112i32i32i32i3−2i3−2i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i30000000000000000000000000
χ5944-4-4440000-44-44-4-4000040-4-442-2-2200000000000000000000002-2-222-2-222-2-222-2-222-2-222-2-222-2-222-2-220000000000000000000000000
χ6044-4-4440000-44-44-4-4000040-4-44-222-20000000000000000000000-222-2-222-2-222-2-222-2-222-2-222-2-222-2-222-20000000000000000000000000
χ6144-4-44-20000-442-22-423−23−2323-2022-22-2-22000000−232323−230000000000002-2-222-2-22−1−31+31+3−1−3−1−31+31+3−1−3−1−31+31+3−1−3−1+31−31−3−1+3−1+31−31−3−1+3−1+31−31−3−1+30000000000000000000000000
χ6244-4-44-20000-442-22-423−23−2323-2022-2-222-2000000−232323−23000000000000-222-2-222-21+3−1−3−1−31+31+3−1−3−1−31+31+3−1−3−1−31+31−3−1+3−1+31−31−3−1+3−1+31−31−3−1+3−1+31−30000000000000000000000000
χ6344-4-44-20000-442-22-4−232323−23-2022-22-2-2200000023−23−23230000000000002-2-222-2-22−1+31−31−3−1+3−1+31−31−3−1+3−1+31−31−3−1+3−1−31+31+3−1−3−1−31+31+3−1−3−1−31+31+3−1−30000000000000000000000000
χ6444-4-44-20000-442-22-4−232323−23-2022-2-222-200000023−23−2323000000000000-222-2-222-21−3−1+3−1+31−31−3−1+3−1+31−31−3−1+3−1+31−31+3−1−3−1−31+31+3−1−3−1−31+31+3−1−3−1−31+30000000000000000000000000
χ6544-4-4-2400002-2-44-420000-2022-22-2-2200000000000000−2i32i300−2i32i3−2i32i3−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i32-2-22−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i32-2-22−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i30000000000000000000000000
χ6644-4-4-2400002-2-44-420000-2022-22-2-22000000000000002i3−2i3002i3−2i32i3−2i3−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i32-2-22−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i32-2-22−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i30000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.