Finite Group Databasebeta

← Group #10883505

Character table — Group #10883505

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222222222222222244444444444444444444444444444444888888888888888888888888242424242424242448484848
order122222344444444666666688881212121212121212448888881212121212121212242424242424242424242424242424244444444412121212121212121212121212121212224488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-111-1-11-11-1
χ101111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-11-1-111-11-11
χ111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111-11-111-1-1-11-11
χ121111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-1111-11-1
χ131111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-1111-1-11
χ141111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1111-1-1-111-1
χ151111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-111-111-1
χ161111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1111-1-11-1-11
χ1722222222222-2-2-2-22222222000022222222-2-2000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000002i−2i2i−2i0000
χ1822222222222-2-2-2-22222222000022222222-2-2000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000−2i2i−2i2i0000
χ192222222-2-2-2-2-2-2-2-222222220000-2-2-2-2-2-2-2-222000000-2-22222-2-2000000000000000000000000000000000000000000002i−2i−2i2i0000
χ202222222-2-2-2-2-2-2-2-222222220000-2-2-2-2-2-2-2-222000000-2-22222-2-200000000000000000000000000000000000000000000−2i2i2i−2i0000
χ21222222-122222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ22222222-122222222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ23222222-122222222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-222-2-2-1-1-1-1-1-1-1-111111111000000000000
χ24222222-122222222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222-2-22211111111-1-1-1-1-1-1-1-1000000000000
χ25222222-1-2-2-2-22222-1-1-1-1-1-1-1222211111111-2-2-2-2-2-222-1-11111-1-1-1-1-1-1-1-1-1-11111111122-2-2-2-222-1-1-1-11111-1-1-1-11111000000000000
χ26222222-1-2-2-2-22222-1-1-1-1-1-1-1222211111111-2-2-2-2-2-222-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-22222-2-21111-1-1-1-11111-1-1-1-1000000000000
χ27222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-211111111-2-22222-2-2-1-11111-1-111111111-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-111111111-1-1-1-1000000000000
χ28222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-211111111-2-22222-2-2-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-2-2-222221111-1-1-1-1-1-1-1-11111000000000000
χ292222-2-2222-2-22-2-22-2-2-2-222222222222-2-2-2-22-222-2-2-2-2-2-222-2-2222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ302222-2-2222-2-22-2-22-2-2-2-2222-2-2-2-22222-2-2-2-22-2-2-22222-2-222-2-222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ312222-2-2222-2-2-222-2-2-2-2-222200002222-2-2-2-2-2200000022-2-222-2-2000000000000000000000000000000000000000022-2-200000000
χ322222-2-2222-2-2-222-2-2-2-2-222200002222-2-2-2-2-2200000022-2-222-2-20000000000000000000000000000000000000000-2-22200000000
χ332222-2-22-2-2222-2-22-2-2-2-22222222-2-2-2-22222-22-2-222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ342222-2-22-2-2222-2-22-2-2-2-2222-2-2-2-2-2-2-2-22222-2222-2-222-2-2-2-22222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ352222-2-22-2-222-222-2-2-2-2-22220000-2-2-2-222222-20000002222-2-2-2-200000000000000000000000000000000000000002-2-2200000000
χ362222-2-22-2-222-222-2-2-2-2-22220000-2-2-2-222222-20000002222-2-2-2-20000000000000000000000000000000000000000-222-200000000
χ372222-2-2-122-2-22-2-221111-1-1-12222-1-1-1-111112-222-2-2-2-211-1-111-1-1-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000
χ382222-2-2-122-2-22-2-221111-1-1-12222-1-1-1-111112-222-2-2-2-211-1-111-1-1-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000
χ392222-2-2-122-2-22-2-221111-1-1-1-2-2-2-2-1-1-1-111112-2-2-2222211-1-111-1-11111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000
χ402222-2-2-122-2-22-2-221111-1-1-1-2-2-2-2-1-1-1-111112-2-2-2222211-1-111-1-11111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000
χ412222-2-2-1-2-2222-2-221111-1-1-122221111-1-1-1-1-22-2-222-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000
χ422222-2-2-1-2-2222-2-221111-1-1-122221111-1-1-1-1-22-2-222-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000000000
χ432222-2-2-1-2-2222-2-221111-1-1-1-2-2-2-21111-1-1-1-1-2222-2-2221111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000
χ442222-2-2-1-2-2222-2-221111-1-1-1-2-2-2-21111-1-1-1-1-2222-2-2221111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000
χ452-2-222-22000022-2-222-2-2-22-22i2i−2i−2i000000000000002i−2i2-200002-22i2i−2i−2i2i2i−2i−2i00000000002i−2i2-20000002-22-200002i−2i2i−2i000000000000
χ462-2-222-22000022-2-222-2-2-22-22i2i−2i−2i000000000000002i−2i2-200002-22i2i−2i−2i2i2i−2i−2i0000000000−2i2i-22000000-22-220000−2i2i−2i2i000000000000
χ472-2-222-22000022-2-222-2-2-22-2−2i−2i2i2i00000000000000−2i2i2-200002-2−2i−2i2i2i−2i−2i2i2i00000000002i−2i-22000000-22-2200002i−2i2i−2i000000000000
χ482-2-222-22000022-2-222-2-2-22-2−2i−2i2i2i00000000000000−2i2i2-200002-2−2i−2i2i2i−2i−2i2i2i0000000000−2i2i2-20000002-22-20000−2i2i−2i2i000000000000
χ492-2-222-2-1000022-2-2-1-1111-112i2i−2i−2i33−3−333−3−30000002i−2i-113−33−3-11−i−iii−i−iii−i3−i3i3i3−i3−i3i3i3002i−2i2-2003−33−3-11-11−i3i3−i3i3−ii−ii000000000000
χ502-2-222-2-1000022-2-2-1-1111-112i2i−2i−2i33−3−333−3−30000002i−2i-113−33−3-11−i−iii−i−iii−i3−i3i3i3−i3−i3i3i300−2i2i-2200−33−331-11-1i3−i3i3−i3i−ii−i000000000000
χ512-2-222-2-1000022-2-2-1-1111-112i2i−2i−2i−3−333−3−3330000002i−2i-11−33−33-11−i−iii−i−iiii3i3−i3−i3i3i3−i3−i3002i−2i2-200−33−33-11-11i3−i3i3−i3−ii−ii000000000000
χ522-2-222-2-1000022-2-2-1-1111-112i2i−2i−2i−3−333−3−3330000002i−2i-11−33−33-11−i−iii−i−iiii3i3−i3−i3i3i3−i3−i300−2i2i-22003−33−31-11-1−i3i3−i3i3i−ii−i000000000000
χ532-2-222-2-1000022-2-2-1-1111-11−2i−2i2i2i33−3−333−3−3000000−2i2i-113−33−3-11ii−i−iii−i−ii3i3−i3−i3i3i3−i3−i3002i−2i-2200−33−331-11-1−i3i3−i3i3−ii−ii000000000000
χ542-2-222-2-1000022-2-2-1-1111-11−2i−2i2i2i33−3−333−3−3000000−2i2i-113−33−3-11ii−i−iii−i−ii3i3−i3−i3i3i3−i3−i300−2i2i2-2003−33−3-11-11i3−i3i3−i3i−ii−i000000000000
χ552-2-222-2-1000022-2-2-1-1111-11−2i−2i2i2i−3−333−3−333000000−2i2i-11−33−33-11ii−i−iii−i−i−i3−i3i3i3−i3−i3i3i3002i−2i-22003−33−31-11-1i3−i3i3−i3−ii−ii000000000000
χ562-2-222-2-1000022-2-2-1-1111-11−2i−2i2i2i−3−333−3−333000000−2i2i-11−33−33-11ii−i−iii−i−i−i3−i3i3i3−i3−i3i3i300−2i2i2-200−33−33-11-11−i3i3−i3i3i−ii−i000000000000
χ572-2-22-22200002-22-2-2-222-22-22i2i−2i−2i00000000000000−2i2i-2200002-22i2i−2i−2i−2i−2i2i2i000000002i−2i00002-22i−2i−2i2i00002-2-220000000000000000
χ582-2-22-22200002-22-2-2-222-22-22i2i−2i−2i00000000000000−2i2i-2200002-22i2i−2i−2i−2i−2i2i2i00000000−2i2i0000-22−2i2i2i−2i0000-222-20000000000000000
χ592-2-22-22200002-22-2-2-222-22-2−2i−2i2i2i000000000000002i−2i-2200002-2−2i−2i2i2i2i2i−2i−2i000000002i−2i0000-222i−2i−2i2i0000-222-20000000000000000
χ602-2-22-22200002-22-2-2-222-22-2−2i−2i2i2i000000000000002i−2i-2200002-2−2i−2i2i2i2i2i−2i−2i00000000−2i2i00002-2−2i2i2i−2i00002-2-220000000000000000
χ612-2-22-22-100002-22-211-1-11-112i2i−2i−2i33−3−3−3−333000000−2i2i1-13−3−33-11−i−iiiii−i−i−i3−i3i3i3i3i3−i3−i32i−2i00002-2−iii−i−i3i3i3−i3-111-13−3−33000000000000
χ622-2-22-22-100002-22-211-1-11-112i2i−2i−2i33−3−3−3−333000000−2i2i1-13−3−33-11−i−iiiii−i−i−i3−i3i3i3i3i3−i3−i3−2i2i0000-22i−i−iii3−i3−i3i31-1-11−333−3000000000000
χ632-2-22-22-100002-22-211-1-11-112i2i−2i−2i−3−33333−3−3000000−2i2i1-1−333−3-11−i−iiiii−i−ii3i3−i3−i3−i3−i3i3i32i−2i00002-2−iii−ii3−i3−i3i3-111-1−333−3000000000000
χ642-2-22-22-100002-22-211-1-11-112i2i−2i−2i−3−33333−3−3000000−2i2i1-1−333−3-11−i−iiiii−i−ii3i3−i3−i3−i3−i3i3i3−2i2i0000-22i−i−ii−i3i3i3−i31-1-113−3−33000000000000
χ652-2-22-22-100002-22-211-1-11-11−2i−2i2i2i33−3−3−3−3330000002i−2i1-13−3−33-11ii−i−i−i−iiii3i3−i3−i3−i3−i3i3i32i−2i0000-22−iii−i−i3i3i3−i31-1-11−333−3000000000000
χ662-2-22-22-100002-22-211-1-11-11−2i−2i2i2i33−3−3−3−3330000002i−2i1-13−3−33-11ii−i−i−i−iiii3i3−i3−i3−i3−i3i3i3−2i2i00002-2i−i−iii3−i3−i3i3-111-13−3−33000000000000
χ672-2-22-22-100002-22-211-1-11-11−2i−2i2i2i−3−33333−3−30000002i−2i1-1−333−3-11ii−i−i−i−iii−i3−i3i3i3i3i3−i3−i32i−2i0000-22−iii−ii3−i3−i3i31-1-113−3−33000000000000
χ682-2-22-22-100002-22-211-1-11-11−2i−2i2i2i−3−33333−3−30000002i−2i1-1−333−3-11ii−i−i−i−iii−i3−i3i3i3i3i3−i3−i3−2i2i00002-2i−i−ii−i3i3i3−i3-111-1−333−3000000000000
χ69444444-24444-4-4-4-4-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-2-4-4000000222222220000000000000000000000000000000000000000000000000000
χ70444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-20000222222224400000022-2-2-2-2220000000000000000000000000000000000000000000000000000
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χ7844-4-400-24-4000000−2i32i3−2i32i3-222−2222−2222-22-22−2i32i3−2i32i300−22220000000000002−22−2−i6i6−i6i62−22−2−i6i6−i6i6000000000000000000000000000000000000
χ7944-4-400-24-40000002i3−2i32i3−2i3-22222−2222−22-22-222i3−2i32i3−2i30022−22000000000000−22−22−i6i6−i6i6−22−22−i6i6−i6i6000000000000000000000000000000000000
χ8044-4-400-24-40000002i3−2i32i3−2i3-222−2222−2222-22-222i3−2i32i3−2i300−22220000000000002−22−2i6−i6i6−i62−22−2i6−i6i6−i6000000000000000000000000000000000000
χ8144-4-400-2-44000000−2i32i3−2i32i3-22222−2222−222-22-22i3−2i32i3−2i300−2222000000000000−22−22i6−i6i6−i62−22−2−i6i6−i6i6000000000000000000000000000000000000
χ8244-4-400-2-44000000−2i32i3−2i32i3-222−2222−22222-22-22i3−2i32i3−2i30022−220000000000002−22−2−i6i6−i6i6−22−22i6−i6i6−i6000000000000000000000000000000000000
χ8344-4-400-2-440000002i3−2i32i3−2i3-22222−2222−222-22-2−2i32i3−2i32i300−2222000000000000−22−22−i6i6−i6i62−22−2i6−i6i6−i6000000000000000000000000000000000000
χ8444-4-400-2-440000002i3−2i32i3−2i3-222−2222−22222-22-2−2i32i3−2i32i30022−220000000000002−22−2i6−i6i6−i6−22−22−i6i6−i6i6000000000000000000000000000000000000
χ854-44-4004004i−4i00000000-4-44−2i22i22i2−2i200004i−4i−4i4i000022−220000000000−2i22i22i2−2i20000000022−22−2222000000000000000000000000000000000000
χ864-44-4004004i−4i00000000-4-442i2−2i2−2i22i200004i−4i−4i4i0000−222200000000002i2−2i2−2i22i200000000−222222−22000000000000000000000000000000000000
χ874-44-400400−4i4i00000000-4-44−2i22i22i2−2i20000−4i4i4i−4i0000−22220000000000−2i22i22i2−2i200000000−222222−22000000000000000000000000000000000000
χ884-44-400400−4i4i00000000-4-442i2−2i2−2i22i20000−4i4i4i−4i000022−2200000000002i2−2i2−2i22i20000000022−22−2222000000000000000000000000000000000000
χ894-44-400-2004i−4i0000−2i32i32i3−2i322-2−2i22i22i2−2i223−23−2323−2i2i2i−2i000022−220000000000i2−i2−i2i26−6−66i6−i6−i6i6−222−2000000000000000000000000000000000000
χ904-44-400-2004i−4i0000−2i32i32i3−2i322-22i2−2i2−2i22i223−23−2323−2i2i2i−2i0000−22220000000000−i2i2i2−i2−666−6−i6i6i6−i62−2−22000000000000000000000000000000000000
χ914-44-400-2004i−4i00002i3−2i3−2i32i322-2−2i22i22i2−2i2−232323−23−2i2i2i−2i000022−220000000000i2−i2−i2i2−666−6−i6i6i6−i6−222−2000000000000000000000000000000000000
χ924-44-400-2004i−4i00002i3−2i3−2i32i322-22i2−2i2−2i22i2−232323−23−2i2i2i−2i0000−22220000000000−i2i2i2−i26−6−66i6−i6−i6i62−2−22000000000000000000000000000000000000
χ934-44-400-200−4i4i0000−2i32i32i3−2i322-2−2i22i22i2−2i2−232323−232i−2i−2i2i0000−22220000000000i2−i2−i2i26−6−66−i6i6i6−i62−2−22000000000000000000000000000000000000
χ944-44-400-200−4i4i0000−2i32i32i3−2i322-22i2−2i2−2i22i2−232323−232i−2i−2i2i000022−220000000000−i2i2i2−i2−666−6i6−i6−i6i6−222−2000000000000000000000000000000000000
χ954-44-400-200−4i4i00002i3−2i3−2i32i322-2−2i22i22i2−2i223−23−23232i−2i−2i2i0000−22220000000000i2−i2−i2i2−666−6i6−i6−i6i62−2−22000000000000000000000000000000000000
χ964-44-400-200−4i4i00002i3−2i3−2i32i322-22i2−2i2−2i22i223−23−23232i−2i−2i2i000022−220000000000−i2i2i2−i26−6−66−i6i6i6−i6−222−2000000000000000000000000000000000000
χ974-4-444-440000-4-44444-4-4-44-400000000000000000000-440000-440000000000000000000000000000000000000000000000000000
χ984-4-444-4-20000-4-444-2-2222-2200002323−23−232323−23−23000000002-2−2323−23232-20000000000000000000000000000000000000000000000000000
χ994-4-444-4-20000-4-444-2-2222-220000−23−232323−23−232323000000002-223−2323−232-20000000000000000000000000000000000000000000000000000
χ1004-4-44-4440000-44-44-4-444-44-4000000000000000000004-40000-440000000000000000000000000000000000000000000000000000
χ1014-4-44-44-20000-44-4422-2-22-2200002323−23−23−23−23232300000000-22−232323−232-20000000000000000000000000000000000000000000000000000
χ1024-4-44-44-20000-44-4422-2-22-220000−23−2323232323−23−2300000000-2223−23−23232-20000000000000000000000000000000000000000000000000000

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