Finite Group Databasebeta

← Group #10740349

Character table — Group #10740349

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111111111111122222222222222224444444488888888888888888888888888888888888888121212121212121212121212121212122424242424242424
order122222222222222236666666666666664444444422444444446666121212121212121212121212121212121212121212121212444444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111
χ911111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ1011111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ1111111111111111111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1
χ1211111111111111111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ172222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ182222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-222-2-2-2-21111-1-1-1-1111111111111-1-1-1-1-1-1-1-1000000000000000000000000
χ192222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-222-2-2-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000000000
χ202222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-222-2-2-2-2221111-1-1-1-11111-1-1-1-1-1-1-1-111111111000000000000000000000000
χ212222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222-2-2-2-2-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-11111000000000000000000000000
χ222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-222-2-222-2-211111111-1-1-1-11111-1-1-1-1-1-1-1-11111000000000000000000000000
χ232222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222-2-2-2-2-1-1-1-1111111111111-1-1-1-11111-1-1-1-1000000000000000000000000
χ242222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-222222211111111-1-1-1-1-1-1-1-111111111-1-1-1-1000000000000000000000000
χ252222-2-2-222-22-2-2-2-22222222-2-2-2-2-222-2-2-200002i2i−2i−2i0000000000000000000000000000002i2i−2i−2i00002i2i−2i−2i00000000000000002-200
χ262222-2-2-222-22-2-2-2-22222222-2-2-2-2-222-2-2-200002i2i−2i−2i0000000000000000000000000000002i2i−2i−2i0000−2i−2i2i2i0000000000000000-2200
χ272222-2-2-222-22-2-2-2-22222222-2-2-2-2-222-2-2-20000−2i−2i2i2i000000000000000000000000000000−2i−2i2i2i00002i2i−2i−2i0000000000000000-2200
χ282222-2-2-222-22-2-2-2-22222222-2-2-2-2-222-2-2-20000−2i−2i2i2i000000000000000000000000000000−2i−2i2i2i0000−2i−2i2i2i00000000000000002-200
χ29222-22-2-22-22-22-22-2-2222-2-2-222-2-2-22-22-22000000002-20000000022-2-2000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i00000000
χ30222-22-2-22-22-22-22-2-2222-2-2-222-2-2-22-22-22000000002-20000000022-2-200000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i00000000
χ31222-22-2-22-22-22-22-2-2222-2-2-222-2-2-22-22-2200000000-2200000000-2-222000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000
χ32222-22-2-22-22-22-22-2-2222-2-2-222-2-2-22-22-2200000000-2200000000-2-22200000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000
χ3322-22-22-2-222-22-2-22-222-22-2-22-22-2-2-22-22222-2-200000000000000000022-2-20000000000000000000000002i2i−2i−2i000000002i−2i000000
χ3422-22-22-2-222-22-2-22-222-22-2-22-22-2-2-22-22222-2-200000000000000000022-2-2000000000000000000000000−2i−2i2i2i00000000−2i2i000000
χ3522-22-22-2-222-22-2-22-222-22-2-22-22-2-2-22-222-2-222000000000000000000-2-2220000000000000000000000002i2i−2i−2i00000000−2i2i000000
χ3622-22-22-2-222-22-2-22-222-22-2-22-22-2-2-22-222-2-222000000000000000000-2-222000000000000000000000000−2i−2i2i2i000000002i−2i000000
χ372-222-2-2-2-2-22-2-222222-2222-2-2-2-22-2-2-222200000000000000002-200000000000022-2-200000000000000002-22-22-22-2000000000000
χ382-222-2-2-2-2-22-2-222222-2222-2-2-2-22-2-2-222200000000000000002-200000000000022-2-20000000000000000-22-22-22-22000000000000
χ392-222-2-2-2-2-22-2-222222-2222-2-2-2-22-2-2-22220000000000000000-22000000000000-2-22200000000000000002-22-2-22-22000000000000
χ402-222-2-2-2-2-22-2-222222-2222-2-2-2-22-2-2-22220000000000000000-22000000000000-2-2220000000000000000-22-222-22-2000000000000
χ412-22-22-2-2-22-2222-22-22-22-2-2222-22-2-22-22-22-22-22i−2i2i−2i00002i−2i000000002-22-20000000000002i−2i2i−2i2i2i−2i−2i000000000000000000000000
χ422-22-22-2-2-22-2222-22-22-22-2-2222-22-2-22-22-22-22-2−2i2i−2i2i0000−2i2i000000002-22-2000000000000−2i2i−2i2i−2i−2i2i2i000000000000000000000000
χ432-22-22-2-2-22-2222-22-22-22-2-2222-22-2-22-22-2-22-222i−2i2i−2i0000−2i2i00000000-22-220000000000002i−2i2i−2i−2i−2i2i2i000000000000000000000000
χ442-22-22-2-2-22-2222-22-22-22-2-2222-22-2-22-22-2-22-22−2i2i−2i2i00002i−2i00000000-22-22000000000000−2i2i−2i2i2i2i−2i−2i000000000000000000000000
χ452-22-22-2-2-22-2222-22-2-11-111-1-1-11-111-11-112-22-22i−2i2i−2i00002i−2i0000−i3i3−i3i3-11-11−i3−i3i3i33−33−333−3−3−ii−ii−i−iii000000000000000000000000
χ462-22-22-2-2-22-2222-22-2-11-111-1-1-11-111-11-112-22-22i−2i2i−2i00002i−2i0000i3−i3i3−i3-11-11i3i3−i3−i3−33−33−3−333−ii−ii−i−iii000000000000000000000000
χ472-22-22-2-2-22-2222-22-2-11-111-1-1-11-111-11-112-22-2−2i2i−2i2i0000−2i2i0000−i3i3−i3i3-11-11−i3−i3i3i3−33−33−3−333i−ii−iii−i−i000000000000000000000000
χ482-22-22-2-2-22-2222-22-2-11-111-1-1-11-111-11-112-22-2−2i2i−2i2i0000−2i2i0000i3−i3i3−i3-11-11i3i3−i3−i33−33−333−3−3i−ii−iii−i−i000000000000000000000000
χ492-22-22-2-2-22-2222-22-2-11-111-1-1-11-111-11-11-22-222i−2i2i−2i0000−2i2i0000−i3i3−i3i31-11-1i3i3−i3−i33−33−3−3−333−ii−iiii−i−i000000000000000000000000
χ502-22-22-2-2-22-2222-22-2-11-111-1-1-11-111-11-11-22-222i−2i2i−2i0000−2i2i0000i3−i3i3−i31-11-1−i3−i3i3i3−33−3333−3−3−ii−iiii−i−i000000000000000000000000
χ512-22-22-2-2-22-2222-22-2-11-111-1-1-11-111-11-11-22-22−2i2i−2i2i00002i−2i0000−i3i3−i3i31-11-1i3i3−i3−i3−33−3333−3−3i−ii−i−i−iii000000000000000000000000
χ522-22-22-2-2-22-2222-22-2-11-111-1-1-11-111-11-11-22-22−2i2i−2i2i00002i−2i0000i3−i3i3−i31-11-1−i3−i3i3i33−33−3−3−333i−ii−i−i−iii000000000000000000000000
χ532-22-2-222-2222-2-22-2-22-22-2-22-2-22-22-222-2200002-2-220000000000000000000000000000002-2-220000000000002i−2i−2i2i00000000002i−2i
χ542-22-2-222-2222-2-22-2-22-22-2-22-2-22-22-222-2200002-2-220000000000000000000000000000002-2-22000000000000−2i2i2i−2i0000000000−2i2i
χ552-22-2-222-2222-2-22-2-22-22-2-22-2-22-22-222-220000-222-2000000000000000000000000000000-222-20000000000002i−2i−2i2i0000000000−2i2i
χ562-22-2-222-2222-2-22-2-22-22-2-22-2-22-22-222-220000-222-2000000000000000000000000000000-222-2000000000000−2i2i2i−2i00000000002i−2i
χ572-2-222-222-222-2-2-22-22-2-22-22-22-2-222-2-22200000000002-200000000000000000000002-22-2000000002i−2i2i−2i2i−2i−2i2i0000000000000000
χ582-2-222-222-222-2-2-22-22-2-22-22-22-2-222-2-22200000000002-200000000000000000000002-22-200000000−2i2i−2i2i−2i2i2i−2i0000000000000000
χ592-2-222-222-222-2-2-22-22-2-22-22-22-2-222-2-2220000000000-220000000000000000000000-22-22000000002i−2i2i−2i−2i2i2i−2i0000000000000000
χ602-2-222-222-222-2-2-22-22-2-22-22-22-2-222-2-2220000000000-220000000000000000000000-22-2200000000−2i2i−2i2i2i−2i−2i2i0000000000000000
χ612-2-22-22-22-2-22222-2-22-2-22-222-222-22-22-2-2000000000000002i−2i00000000002i−2i2i−2i00000000000000002-2-22000000002i−2i2i−2i00000000
χ622-2-22-22-22-2-22222-2-22-2-22-222-222-22-22-2-2000000000000002i−2i00000000002i−2i2i−2i0000000000000000-222-200000000−2i2i−2i2i00000000
χ632-2-22-22-22-2-22222-2-22-2-22-222-222-22-22-2-200000000000000−2i2i0000000000−2i2i−2i2i00000000000000002-2-2200000000−2i2i−2i2i00000000
χ642-2-22-22-22-2-22222-2-22-2-22-222-222-22-22-2-200000000000000−2i2i0000000000−2i2i−2i2i0000000000000000-222-2000000002i−2i2i−2i00000000
χ652-2-2-2-2-2222-2-22-22222-2-2-22-22-2-2-222222-22-2-220000000000000000002-2-22000000000000000000000000000000002-2-22002-20000
χ662-2-2-2-2-2222-2-22-22222-2-2-22-22-2-2-222222-22-2-220000000000000000002-2-2200000000000000000000000000000000-222-200-220000
χ672-2-2-2-2-2222-2-22-22222-2-2-22-22-2-2-222222-2-222-2000000000000000000-222-2000000000000000000000000000000002-2-2200-220000
χ682-2-2-2-2-2222-2-22-22222-2-2-22-22-2-2-222222-2-222-2000000000000000000-222-200000000000000000000000000000000-222-2002-20000
χ694444-4-4-444-44-4-4-4-44-2-2-2-2-2-222222-2-222200004i4i−4i−4i000000000000000000000000000000−2i−2i2i2i0000000000000000000000000000
χ704444-4-4-444-44-4-4-4-44-2-2-2-2-2-222222-2-22220000−4i−4i4i4i0000000000000000000000000000002i2i−2i−2i0000000000000000000000000000
χ71444-44-4-44-44-44-44-4-4-2-2-2222-2-2222-22-22-2000000004-400000000-2-222000000000000000000000000000000000000000000000000
χ72444-44-4-44-44-44-44-4-4-2-2-2222-2-2222-22-22-200000000-440000000022-2-2000000000000000000000000000000000000000000000000
χ73444-4-4444-4-4-4-44-44-4444-4-4-4-4-44444-4-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ74444-4-4444-4-4-4-44-44-4-2-2-222222-2-2-2-222-2200000000000000000000000000000023−23−2323000000000000000000000000000000000000
χ75444-4-4444-4-4-4-44-44-4-2-2-222222-2-2-2-222-22000000000000000000000000000000−232323−23000000000000000000000000000000000000
χ7644-444-44-44-4-4-444-4-444-44-4-4-44-444-444-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ7744-444-44-44-4-4-444-4-4-2-22-2222-22-2-22-2-22200000000000000000000000000000000000000000023−2323−23000000000000000000000000
χ7844-444-44-44-4-4-444-4-4-2-22-2222-22-2-22-2-222000000000000000000000000000000000000000000−2323−2323000000000000000000000000
χ7944-44-44-4-444-44-4-44-4-2-22-222-22-2222-22-2-244-4-4000000000000000000-2-22200000000000000000000000000000000000000000000
χ8044-44-44-4-444-44-4-44-4-2-22-222-22-2222-22-2-2-4-44400000000000000000022-2-200000000000000000000000000000000000000000000
χ8144-4-444-4-4-4-44-4-444444-4-444-444-4-4-4-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ8244-4-444-4-4-4-44-4-4444-2-222-2-22-2-22222-2-22000000000000000000000000000000000023−23−232300000000000000000000000000000000
χ8344-4-444-4-4-4-44-4-4444-2-222-2-22-2-22222-2-220000000000000000000000000000000000−232323−2300000000000000000000000000000000
χ8444-4-4-4-44-4-44444-4-4444-4-4444-4-444-4-4-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ8544-4-4-4-44-4-44444-4-44-2-222-2-2-222-2-22222-20000000000000000000000000023−23−23230000000000000000000000000000000000000000
χ8644-4-4-4-44-4-44444-4-44-2-222-2-2-222-2-22222-200000000000000000000000000−232323−230000000000000000000000000000000000000000
χ874-444444-4-4-4-44-4-4-444-4444-4444-44-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ884-444444-4-4-4-44-4-4-44-22-2-2-22-2-2-22-222222000000000000000000−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ894-444444-4-4-4-44-4-4-44-22-2-2-22-2-2-22-2222220000000000000000002i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ904-444-4-4-4-4-44-4-44444-22-2-2-22222-2222-2-2-200000000000000004-4000000000000-2-222000000000000000000000000000000000000
χ914-444-4-4-4-4-44-4-44444-22-2-2-22222-2222-2-2-20000000000000000-4400000000000022-2-2000000000000000000000000000000000000
χ924-44-4-444-4444-4-44-4-4-22-222-222-22-22-2-22-200004-4-44000000000000000000000000000000-222-20000000000000000000000000000
χ934-44-4-444-4444-4-44-4-4-22-222-222-22-22-2-22-20000-444-40000000000000000000000000000002-2-220000000000000000000000000000
χ944-4-444-444-444-4-4-44-4-222-22-22-222-2-222-2-200000000004-40000000000000000000000-22-2200000000000000000000000000000000
χ954-4-444-444-444-4-4-44-4-222-22-22-222-2-222-2-20000000000-4400000000000000000000002-22-200000000000000000000000000000000
χ964-4-44-44-44-4-44444-4-4-222-22-2-22-2-22-22-222000000000000004i−4i0000000000−2i2i−2i2i0000000000000000000000000000000000000000
χ974-4-44-44-44-4-44444-4-4-222-22-2-22-2-22-22-22200000000000000−4i4i00000000002i−2i2i−2i0000000000000000000000000000000000000000
χ984-4-4-444-4444-4-44-4-444-4-4-44-4-4444-444-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-4-444-4444-4-44-4-44-2222-222-2-2-22-2-222-2000000000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000
χ1004-4-4-444-4444-4-44-4-44-2222-222-2-2-22-2-222-20000000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ1014-4-4-4-4-4444-4-44-4444-2222-22-2222-2-2-2-2-224-4-44000000000000000000-222-200000000000000000000000000000000000000000000
χ1024-4-4-4-4-4444-4-44-4444-2222-22-2222-2-2-2-2-22-444-40000000000000000002-2-2200000000000000000000000000000000000000000000

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