Finite Group Databasebeta

← Group #11792444

Character table — Group #11792444

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order12222222334444666666666666663666666612121212121212122266666666666666661212121288888888242424242424242424242424242424242244666612121212444422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ92222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-200000000000000000000000000000000000022-2-200
χ102222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-2000000000000000000000000000000000000-2-22200
χ11222222222-1222222222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ12222222222-1222222222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ13222222222-1222222222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-2111111111111-1-1-1-122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ14222222222-1222222222-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-2111111111111-1-1-1-1-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ1522222222-122222-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ1622222222-122222-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ1722222222-122222-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-211111111-1-1-1-10000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
χ1822222222-122222-1-1-1-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-211111111-1-1-1-10000-2-2-2-2000000001111111100220000-1-1-1-1000000
χ19222-22-2-2-22222-2-222-2-2-222-2-2-2-222-2222-2-2-2-2222-222-2-2-200000000000000000022-2-2000000000000000000000000002i−2i00002i2i−2i−2i000000
χ20222-22-2-2-22222-2-222-2-2-222-2-2-2-222-2222-2-2-2-2222-222-2-2-200000000000000000022-2-200000000000000000000000000−2i2i0000−2i−2i2i2i000000
χ21222-22-2-2-222-2-22222-2-2-222-2-2-2-222-2222-2-2-2-22-2-22-2-2222000000000000000000-2-2220000000000000000000000002-20022-2-20000000000
χ22222-22-2-2-222-2-22222-2-2-222-2-2-2-222-2222-2-2-2-22-2-22-2-2222000000000000000000-2-222000000000000000000000000-2200-2-2220000000000
χ23222-22-2-2-22-1-2-22222-2-2-2-1-111112-1-2-1-1-11111-1-2-2211-12-1000000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i311-1-100000000−i3−i3−i3−i3i3i3i3i3000000002-200-1-1110000000000
χ24222-22-2-2-22-1-2-22222-2-2-2-1-111112-1-2-1-1-11111-1-2-2211-12-1000000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i311-1-100000000i3i3i3i3−i3−i3−i3−i300000000-220011-1-10000000000
χ25222-22-2-2-22-1-2-22222-2-2-2-1-111112-1-2-1-1-11111-1-2-2211-12-1000000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i311-1-100000000−i3−i3−i3−i3i3i3i3i300000000-220011-1-10000000000
χ26222-22-2-2-22-1-2-22222-2-2-2-1-111112-1-2-1-1-11111-1-2-2211-12-1000000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i311-1-100000000i3i3i3i3−i3−i3−i3−i3000000002-200-1-1110000000000
χ27222-22-2-2-2-1222-2-2-1-111122-2-2-2-2-121-1-1-11111-1-1-1122-21-200−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3-1-11100000000000000003333−3−3−3−3002i−2i0000−i−iii000000
χ28222-22-2-2-2-1222-2-2-1-111122-2-2-2-2-121-1-1-11111-1-1-1122-21-200−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3-1-1110000000000000000−3−3−3−3333300−2i2i0000ii−i−i000000
χ29222-22-2-2-2-1222-2-2-1-111122-2-2-2-2-121-1-1-11111-1-1-1122-21-200i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3-1-11100000000000000003333−3−3−3−300−2i2i0000ii−i−i000000
χ30222-22-2-2-2-1222-2-2-1-111122-2-2-2-2-121-1-1-11111-1-1-1122-21-200i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3-1-1110000000000000000−3−3−3−33333002i−2i0000−i−iii000000
χ3122-2-2-222-22200002-22-2-22-222-2-2-2-2222-222-2-2-200000000000000000000000000000022−2−222−2−222−2−222−2−222−2−222−2−2000000000000002-200
χ3222-2-2-222-22200002-22-2-22-222-2-2-2-2222-222-2-2-200000000000000000000000000000022−2−2−2−22222−2−222−2−2−2−222−2−22200000000000000-2200
χ3322-2-2-222-22200002-22-2-22-222-2-2-2-2222-222-2-2-2000000000000000000000000000000−2−22222−2−2−2−222−2−22222−2−222−2−200000000000000-2200
χ3422-2-2-222-22200002-22-2-22-222-2-2-2-2222-222-2-2-2000000000000000000000000000000−2−222−2−222−2−222−2−222−2−222−2−222000000000000002-200
χ352-22-2-22-22220000-22-22-2-222-22-2-2-222-222-22-2-20000000000000000000000000000002−22−22−22−22−22−22−22−22−22−22−22−20000000000002-20000
χ362-22-2-22-22220000-22-22-2-222-22-2-2-222-222-22-2-20000000000000000000000000000002−22−2−22−222−22−22−22−2−22−22−22−22000000000000-220000
χ372-22-2-22-22220000-22-22-2-222-22-2-2-222-222-22-2-2000000000000000000000000000000−22−222−22−2−22−22−22−222−22−22−22−2000000000000-220000
χ382-22-2-22-22220000-22-22-2-222-22-2-2-222-222-22-2-2000000000000000000000000000000−22−22−22−22−22−22−22−22−22−22−22−220000000000002-20000
χ392-2-2222-2-2222-22-2-2-2-2-22-2-22-2-222222-2-22-2-2222-222-2-2-220000000000000000002-22-22-2-2200002-2-222-2-2200000000000000000000000000
χ402-2-2222-2-2222-22-2-2-2-2-22-2-22-2-222222-2-22-2-2222-222-2-2-220000000000000000002-22-2-222-20000-222-2-222-200000000000000000000000000
χ412-2-2222-2-222-22-22-2-2-2-22-2-22-2-222222-2-22-2-222-22-2-2222-2000000000000000000-22-2200002-2-22000000002-2-222-2-22000000000000000000
χ422-2-2222-2-222-22-22-2-2-2-22-2-22-2-222222-2-22-2-222-22-2-2222-2000000000000000000-22-220000-222-200000000-222-2-222-2000000000000000000
χ432-2-2222-2-22-12-22-2-2-2-2-2211-111-12-12-111-111-1-12-22-111-2-1000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-11-112-2-220000-111-1-111-1000000000000−i3i3−i3i30000000000
χ442-2-2222-2-22-12-22-2-2-2-2-2211-111-12-12-111-111-1-12-22-111-2-1000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-11-11-222-200001-1-111-1-11000000000000i3−i3i3−i30000000000
χ452-2-2222-2-22-12-22-2-2-2-2-2211-111-12-12-111-111-1-12-22-111-2-1000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-11-112-2-220000-111-1-111-1000000000000i3−i3i3−i30000000000
χ462-2-2222-2-22-12-22-2-2-2-2-2211-111-12-12-111-111-1-12-22-111-2-1000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-11-11-222-200001-1-111-1-11000000000000−i3i3−i3i30000000000
χ472-2-2222-2-2-12-22-221111-1-2-22-2-22-12-1-111-111-1-11-11-222-1-200−i3i3−i3i30000−i3i3i3−i3i3−i3−i3i31-11-100002-2-2200000000-111-1-111-100000000−i3i3−i3i3000000
χ482-2-2222-2-2-12-22-221111-1-2-22-2-22-12-1-111-111-1-11-11-222-1-200−i3i3−i3i30000−i3i3i3−i3i3−i3−i3i31-11-10000-222-2000000001-1-111-1-1100000000i3−i3i3−i3000000
χ492-2-2222-2-2-12-22-221111-1-2-22-2-22-12-1-111-111-1-11-11-222-1-200i3−i3i3−i30000i3−i3−i3i3−i3i3i3−i31-11-100002-2-2200000000-111-1-111-100000000i3−i3i3−i3000000
χ502-2-2222-2-2-12-22-221111-1-2-22-2-22-12-1-111-111-1-11-11-222-1-200i3−i3i3−i30000i3−i3−i3i3−i3i3i3−i31-11-10000-222-2000000001-1-111-1-1100000000−i3i3−i3i3000000
χ512-2-2-22-222222-2-22-2-222-2-2-2-222-222-22-2-2-222-222-2-22-222-20000000000000000002-2-2200000000000000000000000000000000000000002-2
χ522-2-2-22-222222-2-22-2-222-2-2-2-222-222-22-2-2-222-222-2-22-222-20000000000000000002-2-220000000000000000000000000000000000000000-22
χ532-2-2-22-22222-222-2-2-222-2-2-2-222-222-22-2-2-222-22-222-22-2-222-22-2-222-2-222-22-2-22-22-222-2000000000000000000000000000000000000000000
χ542-2-2-22-22222-222-2-2-222-2-2-2-222-222-22-2-2-222-22-222-22-2-22-22-222-2-222-2-22-222-22-2-222-2000000000000000000000000000000000000000000
χ552-2-2-22-2222-1-222-2-2-222-2111-1-112-1-2-1111-1-11-1-2221-11-2-12-22-2-22-111-1-11-111-11-11-1-1100000000−i3i3i3−i3i3−i3−i3i3000000000000−i3i3i3−i30000000000
χ562-2-2-22-2222-1-222-2-2-222-2111-1-112-1-2-1111-1-11-1-2221-11-2-12-22-2-22-111-1-11-111-11-11-1-1100000000i3−i3−i3i3−i3i3i3−i3000000000000i3−i3−i3i30000000000
χ572-2-2-22-2222-1-222-2-2-222-2111-1-112-1-2-1111-1-11-1-2221-11-2-1-22-222-21-1-111-11-1-11-111-1-1100000000−i3i3i3−i3i3−i3−i3i3000000000000i3−i3−i3i30000000000
χ582-2-2-22-2222-1-222-2-2-222-2111-1-112-1-2-1111-1-11-1-2221-11-2-1-22-222-21-1-111-11-1-11-111-1-1100000000i3−i3−i3i3−i3i3i3−i3000000000000−i3i3i3−i30000000000
χ592-2-2-22-222-12-222-211-1-11-2-2-222-2-121-1111-1-11-11-1-1-22-2122-2-111-12-2-22-11-111-11-11-1-1100000000000000003−3−33−333−3000000003−3−33000000
χ602-2-2-22-222-12-222-211-1-11-2-2-222-2-121-1111-1-11-11-1-1-22-2122-2-111-12-2-22-11-111-11-11-1-110000000000000000−333−33−3−3300000000−333−3000000
χ612-2-2-22-222-12-222-211-1-11-2-2-222-2-121-1111-1-11-11-1-1-22-212-221-1-11-222-21-11-1-11-111-1-1100000000000000003−3−33−333−300000000−333−3000000
χ622-2-2-22-222-12-222-211-1-11-2-2-222-2-121-1111-1-11-11-1-1-22-212-221-1-11-222-21-11-1-11-111-1-110000000000000000−333−33−3−33000000003−3−33000000
χ63444444444-2-4-4-4-444444-2-2-2-2-2-24-24-2-2-2-2-2-2-2-2-4-4-4222-420000000000000000002222000000000000000000000000000000000000000000
χ6444444444-24-4-4-4-4-2-2-2-2-2444444-24-2-2-2-2-2-2-2-2-2222-4-4-42-40000000000000000002222000000000000000000000000000000000000000000
χ6544444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000000000
χ6644444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2-4-422222222-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ6744444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111122222222000000000033-3-3-3-333-1-1-1-1000000000000000000000000000000000000000000
χ6844444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111222222220000000000-3-33333-3-3-1-1-1-1000000000000000000000000000000000000000000
χ69444-44-4-4-44-244-4-444-4-4-4-2-222224-2-4-2-2-22222-244-4-2-22-42000000000000000000-2-222000000000000000000000000000000000000000000
χ70444-44-4-4-4-24-4-444-2-222244-4-4-4-4-242-2-2-22222-222-2-4-44-2400000000000000000022-2-2000000000000000000000000000000000000000000
χ71444-44-4-4-4-2-244-4-4-2-2222-2-22222-2-22111-1-1-1-11-2-22-2-222200−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i311-1-1000000000000000000000000000000000000000000
χ72444-44-4-4-4-2-244-4-4-2-2222-2-22222-2-22111-1-1-1-11-2-22-2-2222002i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i311-1-1000000000000000000000000000000000000000000
χ73444-44-4-4-4-2-2-4-444-2-2222-2-22222-2-22111-1-1-1-1122-222-2-2-2000000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i3-1-111000000000000000000000000000000000000000000
χ74444-44-4-4-4-2-2-4-444-2-2222-2-22222-2-22111-1-1-1-1122-222-2-2-20000002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i3-1-111000000000000000000000000000000000000000000
χ7544-44-4-4-444400004-4-4444-4-4-444-4-4-444-4-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ7644-44-4-4-444-200004-4-444-2222-2-2-42-4-2-2222-2-2200000000000000000000000000000000000000i6i6−i6−i6−i6−i6i6i600000000000000000000000000
χ7744-44-4-4-444-200004-4-444-2222-2-2-42-4-2-2222-2-2200000000000000000000000000000000000000−i6−i6i6i6i6i6−i6−i600000000000000000000000000
χ7844-44-4-4-44-240000-222-2-24-4-4-4442-42-2-2222-2-22000000000000000000000000000000000000000000000066−6−6−6−666000000000000000000
χ7944-44-4-4-44-240000-222-2-24-4-4-4442-42-2-2222-2-220000000000000000000000000000000000000000000000−6−66666−6−6000000000000000000
χ8044-4-4-444-44-200004-44-4-4-22-2-222-424-2-22-2-22220000000000000000000000000000002222−22−220000−2−222−2−22200000000000000000000000000
χ8144-4-4-444-44-200004-44-4-4-22-2-222-424-2-22-2-2222000000000000000000000000000000−22−222222000022−2−222−2−200000000000000000000000000
χ8244-4-4-444-4-240000-22-2224-444-4-42-4-2-2-22-2-222200000000000000000000000000000000002222−22−2200000000−2−222−2−222000000000000000000
χ8344-4-4-444-4-240000-22-2224-444-4-42-4-2-2-22-2-22220000000000000000000000000000000000−22−2222220000000022−2−222−2−2000000000000000000
χ844-444-4-44-4440000-444-44-44-44-44-4-4-44-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ854-444-4-44-44-20000-444-442-22-22-2-42-4-22-22-22-2200000000000000000000000000000000000000i6−i6i6−i6−i6i6−i6i600000000000000000000000000
χ864-444-4-44-44-20000-444-442-22-22-2-42-4-22-22-22-2200000000000000000000000000000000000000−i6i6−i6i6i6−i6i6−i600000000000000000000000000
χ874-444-4-44-4-2400002-2-22-2-44-44-442-42-22-22-22-2200000000000000000000000000000000000000000000006−66−6−66−66000000000000000000
χ884-444-4-44-4-2400002-2-22-2-44-44-442-42-22-22-22-220000000000000000000000000000000000000000000000−66−666−66−6000000000000000000
χ894-44-4-44-444-20000-44-44-42-2-22-22-424-22-2-22-22200000000000000000000000000000022−2222−220000−22−22−22−2200000000000000000000000000
χ904-44-4-44-444-20000-44-44-42-2-22-22-424-22-2-22-222000000000000000000000000000000−2222−222200002−22−22−22−200000000000000000000000000
χ914-44-4-44-44-2400002-22-22-444-44-42-4-2-22-2-22-222000000000000000000000000000000000022−2222−2200000000−22−22−22−22000000000000000000
χ924-44-4-44-44-2400002-22-22-444-44-42-4-2-22-2-22-2220000000000000000000000000000000000−2222−2222000000002−22−22−22−2000000000000000000
χ934-4-4444-4-44-2-44-44-4-4-4-4422-222-24-24-222-222-2-2-44-42-2-2420000000000000000002-22-2000000000000000000000000000000000000000000
χ944-4-4444-4-4-244-44-42222-2-4-44-4-44-24-2-222-222-2-2-22-24-4-424000000000000000000-22-22000000000000000000000000000000000000000000
χ954-4-4444-4-4-2-24-44-42222-222-222-2-2-2-21-1-11-1-111-22-2-2222-2000000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i31-11-1000000000000000000000000000000000000000000
χ964-4-4444-4-4-2-24-44-42222-222-222-2-2-2-21-1-11-1-111-22-2-2222-20000002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i31-11-1000000000000000000000000000000000000000000
χ974-4-4444-4-4-2-2-44-442222-222-222-2-2-2-21-1-11-1-1112-222-2-2-2200−2i32i3−2i32i30000i3−i3−i3i3−i3i3i3−i3-11-11000000000000000000000000000000000000000000
χ984-4-4444-4-4-2-2-44-442222-222-222-2-2-2-21-1-11-1-1112-222-2-2-22002i3−2i32i3−2i30000−i3i3i3−i3i3−i3−i3i3-11-11000000000000000000000000000000000000000000
χ994-4-4-44-4444-24-4-44-4-444-4222-2-224-2-4-2222-2-22-24-4-4-22-242000000000000000000-222-2000000000000000000000000000000000000000000
χ1004-4-4-44-444-244-4-4422-2-22-4-4-444-4-242-2222-2-22-2-2224-44-2-4000000000000000000-222-2000000000000000000000000000000000000000000
χ1014-4-4-44-444-2-24-4-4422-2-22222-2-22-2-221-1-1-111-11-222-22-2-2200000000003-3-333-3-331-1-11000000000000000000000000000000000000000000
χ1024-4-4-44-444-2-24-4-4422-2-22222-2-22-2-221-1-1-111-11-222-22-2-220000000000-333-3-333-31-1-11000000000000000000000000000000000000000000
χ1034-4-4-44-444-2-2-444-422-2-22222-2-22-2-221-1-1-111-112-2-22-222-24-4-222-2-222-21-11-1-11-11-111-1000000000000000000000000000000000000000000
χ1044-4-4-44-444-2-2-444-422-2-22222-2-22-2-221-1-1-111-112-2-22-222-2-442-2-222-2-22-11-111-11-1-111-1000000000000000000000000000000000000000000
χ10588-88-8-8-88-4-40000-444-4-4-4444-4-444422-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-888-8-4-40000-44-444-44-4-44444-422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-88-8-4-400004-4-44-44-44-44-44442-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-88-88-4-400004-44-444-4-44-4444-42-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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