Finite Group Databasebeta

← Group #10733204

Character table — Group #10733204

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111111111111122222222222222224444444488888888888888888888888888888888888888121212121212121212121212121212122424242424242424
order122222222222222236666666666666662222444444444444446666121212121212121212121212121212121212121212121212222222224444444444444444
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
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ5111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ911111111111111111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ1011111111111111111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
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
χ182222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000000000
χ192222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-22222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-111111111000000000000000000000000
χ202222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000000000000000000000
χ212222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-222-2-222-2-21111-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000000000000000
χ222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-222-2-2221111-1-1-1-111111111-1-1-1-11111-1-1-1-1000000000000000000000000
χ232222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-22211111111-1-1-1-1-1-1-1-111111111-1-1-1-1000000000000000000000000
χ242222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-22222-2-211111111-1-1-1-11111-1-1-1-1-1-1-1-11111000000000000000000000000
χ252222-2-22222-2-2-2-2-2-22222-2-2-2-2-2-22222-2-222-2-20000000000000022-2-2000000000000000000000000000000002i2i−2i−2i000000002i−2i00
χ262222-2-22222-2-2-2-2-2-22222-2-2-2-2-2-22222-2-222-2-20000000000000022-2-200000000000000000000000000000000−2i−2i2i2i00000000−2i2i00
χ272222-2-22222-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2-2-22200000000000000-2-222000000000000000000000000000000002i2i−2i−2i00000000−2i2i00
χ282222-2-22222-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2-2-22200000000000000-2-22200000000000000000000000000000000−2i−2i2i2i000000002i−2i00
χ29222-22-22-2-2-2222-2-2-2222-2222-2-2-22-2-2-22-20000000000002i−2i000000000000000000002i2i−2i−2i00000000000022-2-200002i2i−2i−2i00000000
χ30222-22-22-2-2-2222-2-2-2222-2222-2-2-22-2-2-22-20000000000002i−2i000000000000000000002i2i−2i−2i000000000000-2-2220000−2i−2i2i2i00000000
χ31222-22-22-2-2-2222-2-2-2222-2222-2-2-22-2-2-22-2000000000000−2i2i00000000000000000000−2i−2i2i2i00000000000022-2-20000−2i−2i2i2i00000000
χ32222-22-22-2-2-2222-2-2-2222-2222-2-2-22-2-2-22-2000000000000−2i2i00000000000000000000−2i−2i2i2i000000000000-2-22200002i2i−2i−2i00000000
χ3322-222-2-22-2-22-2-222-222-222-2-222-2-22-2-22-200002i2i−2i−2i000000000000002i2i−2i−2i0000000000000000000022-2-20000000000000000002i−2i
χ3422-222-2-22-2-22-2-222-222-222-2-222-2-22-2-22-200002i2i−2i−2i000000000000002i2i−2i−2i00000000000000000000-2-222000000000000000000−2i2i
χ3522-222-2-22-2-22-2-222-222-222-2-222-2-22-2-22-20000−2i−2i2i2i00000000000000−2i−2i2i2i0000000000000000000022-2-2000000000000000000−2i2i
χ3622-222-2-22-2-22-2-222-222-222-2-222-2-22-2-22-20000−2i−2i2i2i00000000000000−2i−2i2i2i00000000000000000000-2-2220000000000000000002i−2i
χ372-222-22-2-22-222-22-2-22-222-22-22-22-2-22-22-200000000002i−2i0000000000000000002i2i−2i−2i0000000000002-22-2000000002i−2i2i−2i00000000
χ382-222-22-2-22-222-22-2-22-222-22-22-22-2-22-22-200000000002i−2i0000000000000000002i2i−2i−2i000000000000-22-2200000000−2i2i−2i2i00000000
χ392-222-22-2-22-222-22-2-22-222-22-22-22-2-22-22-20000000000−2i2i000000000000000000−2i−2i2i2i0000000000002-22-200000000−2i2i−2i2i00000000
χ402-222-22-2-22-222-22-2-22-222-22-22-22-2-22-22-20000000000−2i2i000000000000000000−2i−2i2i2i000000000000-22-22000000002i−2i2i−2i00000000
χ412-22-222-22-22-2-222-2-22-22-22-222-22-22-22-2-22-22-22i−2i2i−2i2i−2i000000002-22-22i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ422-22-222-22-22-2-222-2-22-22-22-222-22-22-22-2-22-22-2−2i2i−2i2i−2i2i000000002-22-2−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ432-22-222-22-22-2-222-2-22-22-22-222-22-22-22-2-2-22-222i−2i2i−2i−2i2i00000000-22-222i−2i2i−2i−2i−2i2i2i0000000000000000000000000000000000000000
χ442-22-222-22-22-2-222-2-22-22-22-222-22-22-22-2-2-22-22−2i2i−2i2i2i−2i00000000-22-22−2i2i−2i2i2i2i−2i−2i0000000000000000000000000000000000000000
χ452-22-222-22-22-2-222-2-2-11-11-11-1-11-11-11-1112-22-22i−2i2i−2i2i−2i00000000-11-11−ii−ii−i−iii−i3i3−i3i3−i3i3−i3i333−3−333−3−3000000000000000000000000
χ462-22-222-22-22-2-222-2-2-11-11-11-1-11-11-11-1112-22-22i−2i2i−2i2i−2i00000000-11-11−ii−ii−i−iiii3−i3i3−i3i3−i3i3−i3−3−333−3−333000000000000000000000000
χ472-22-222-22-22-2-222-2-2-11-11-11-1-11-11-11-1112-22-2−2i2i−2i2i−2i2i00000000-11-11i−ii−iii−i−i−i3i3−i3i3−i3i3−i3i3−3−333−3−333000000000000000000000000
χ482-22-222-22-22-2-222-2-2-11-11-11-1-11-11-11-1112-22-2−2i2i−2i2i−2i2i00000000-11-11i−ii−iii−i−ii3−i3i3−i3i3−i3i3−i333−3−333−3−3000000000000000000000000
χ492-22-222-22-22-2-222-2-2-11-11-11-1-11-11-11-111-22-222i−2i2i−2i−2i2i000000001-11-1−ii−iiii−i−i−i3i3−i3i3i3−i3i3−i333−3−3−3−333000000000000000000000000
χ502-22-222-22-22-2-222-2-2-11-11-11-1-11-11-11-111-22-222i−2i2i−2i−2i2i000000001-11-1−ii−iiii−i−ii3−i3i3−i3−i3i3−i3i3−3−33333−3−3000000000000000000000000
χ512-22-222-22-22-2-222-2-2-11-11-11-1-11-11-11-111-22-22−2i2i−2i2i2i−2i000000001-11-1i−ii−i−i−iii−i3i3−i3i3i3−i3i3−i3−3−33333−3−3000000000000000000000000
χ522-22-222-22-22-2-222-2-2-11-11-11-1-11-11-11-111-22-22−2i2i−2i2i2i−2i000000001-11-1i−ii−i−i−iiii3−i3i3−i3−i3i3−i3i333−3−3−3−333000000000000000000000000
χ532-22-2-2-2-22-2222-2-2222-22-2-22-2-22-2-22-22222-2-22000000000000002-2-220000000000000000000000000000000000002-2-22002-20000
χ542-22-2-2-2-22-2222-2-2222-22-2-22-2-22-2-22-22222-2-22000000000000002-2-22000000000000000000000000000000000000-222-200-220000
χ552-22-2-2-2-22-2222-2-2222-22-2-22-2-22-2-22-2222-222-200000000000000-222-20000000000000000000000000000000000002-2-2200-220000
χ562-22-2-2-2-22-2222-2-2222-22-2-22-2-22-2-22-2222-222-200000000000000-222-2000000000000000000000000000000000000-222-2002-20000
χ572-2-22222-2-22-22-2-22-22-2-2222-2-2222-2-22-2-200000000000000002i−2i0000000000000000000000002i−2i2i−2i00002-22-22i−2i2i−2i000000000000
χ582-2-22222-2-22-22-2-22-22-2-2222-2-2222-2-22-2-200000000000000002i−2i0000000000000000000000002i−2i2i−2i0000-22-22−2i2i−2i2i000000000000
χ592-2-22222-2-22-22-2-22-22-2-2222-2-2222-2-22-2-20000000000000000−2i2i000000000000000000000000−2i2i−2i2i00002-22-2−2i2i−2i2i000000000000
χ602-2-22222-2-22-22-2-22-22-2-2222-2-2222-2-22-2-20000000000000000−2i2i000000000000000000000000−2i2i−2i2i0000-22-222i−2i2i−2i000000000000
χ612-2-22-2-22-2-222-222-222-2-22-2-222-2-22-2-2222000000000000002-200000000000000000000002-22-200002-2-2200002-2-22000000000000
χ622-2-22-2-22-2-222-222-222-2-22-2-222-2-22-2-2222000000000000002-200000000000000000000002-22-20000-222-20000-222-2000000000000
χ632-2-22-2-22-2-222-222-222-2-22-2-222-2-22-2-222200000000000000-220000000000000000000000-22-2200002-2-220000-222-2000000000000
χ642-2-22-2-22-2-222-222-222-2-22-2-222-2-22-2-222200000000000000-220000000000000000000000-22-220000-222-200002-2-22000000000000
χ652-2-2-22-2222-2-22-22-222-2-2-222-22-2-2222-2-2200002-2-22000000000000002-2-220000000000000000000000002-2-22000000002-2000000
χ662-2-2-22-2222-2-22-22-222-2-2-222-22-2-2222-2-2200002-2-22000000000000002-2-22000000000000000000000000-222-200000000-22000000
χ672-2-2-22-2222-2-22-22-222-2-2-222-22-2-2222-2-220000-222-200000000000000-222-20000000000000000000000002-2-2200000000-22000000
χ682-2-2-22-2222-2-22-22-222-2-2-222-22-2-2222-2-220000-222-200000000000000-222-2000000000000000000000000-222-2000000002-2000000
χ694444-4-44444-4-4-4-4-4-4-2-2-2-2222222-2-2-2-22244-4-400000000000000-2-222000000000000000000000000000000000000000000000000
χ704444-4-44444-4-4-4-4-4-4-2-2-2-2222222-2-2-2-222-4-4440000000000000022-2-2000000000000000000000000000000000000000000000000
χ71444-44-44-4-4-4444-4-4-4-2-2-22-2-2-2222-2222-220000000000004i−4i00000000000000000000−2i−2i2i2i00000000000000000000000000000000
χ72444-44-44-4-4-4444-4-4-4-2-2-22-2-2-2222-2222-22000000000000−4i4i000000000000000000002i2i−2i−2i00000000000000000000000000000000
χ73444-4-444-4-4-4-4-4-4444444-4-4-4-44444-4-4-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ74444-4-444-4-4-4-4-4-4444-2-2-22222-2-2-2-22222-200000000000000000000000000000023−23−2323000000000000000000000000000000000000
χ75444-4-444-4-4-4-4-4-4444-2-2-22222-2-2-2-22222-2000000000000000000000000000000−232323−23000000000000000000000000000000000000
χ7644-444-4-44-4-44-4-444-4-2-22-2-222-2-222-222-2200004i4i−4i−4i00000000000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ7744-444-4-44-4-44-4-444-4-2-22-2-222-2-222-222-220000−4i−4i4i4i000000000000002i2i−2i−2i00000000000000000000000000000000000000000000
χ7844-44-44-44-4-4-444-4-4444-44-444-4-44-44-4-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ7944-44-44-44-4-4-444-4-44-2-22-22-2-222-22-2222-20000000000000000000000000023−2323−230000000000000000000000000000000000000000
χ8044-44-44-44-4-4-444-4-44-2-22-22-2-222-22-2222-200000000000000000000000000−2323−23230000000000000000000000000000000000000000
χ8144-4-444-4-4444-4-4-4-4444-4-44-4-4-4-44-4-444440000000000000000000000000000000000000000000000000000000000000000000000
χ8244-4-444-4-4444-4-4-4-44-2-222-22222-222-2-2-2-2000000000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000
χ8344-4-444-4-4444-4-4-4-44-2-222-22222-222-2-2-2-20000000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ8444-4-4-4-4-4-444-44444-444-4-4-44444-4-4-444-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ8544-4-4-4-4-4-444-44444-4-2-2222-2-2-2-2222-2-2220000000000000000000000000000000000000023−23−23230000000000000000000000000000
χ8644-4-4-4-4-4-444-44444-4-2-2222-2-2-2-2222-2-22200000000000000000000000000000000000000−232323−230000000000000000000000000000
χ874-4444-4-4-44-4-4-44-4444-4444-44-44-4-4-44-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ884-4444-4-4-44-4-4-44-444-22-2-2-22-22-2222-222-2000000000000000000000000000000000023−23−232300000000000000000000000000000000
χ894-4444-4-4-44-4-4-44-444-22-2-2-22-22-2222-222-20000000000000000000000000000000000−232323−2300000000000000000000000000000000
χ904-444-44-4-44-444-44-4-4-22-2-22-22-22-222-22-2200000000004i−4i000000000000000000−2i−2i2i2i000000000000000000000000000000000000
χ914-444-44-4-44-444-44-4-4-22-2-22-22-22-222-22-220000000000−4i4i0000000000000000002i2i−2i−2i000000000000000000000000000000000000
χ924-44-4-4-4-44-4444-4-444-22-222-222-222-22-2-2-24-4-4400000000000000-222-2000000000000000000000000000000000000000000000000
χ934-44-4-4-4-44-4444-4-444-22-222-222-222-22-2-2-2-444-4000000000000002-2-22000000000000000000000000000000000000000000000000
χ944-4-44444-4-44-44-4-44-4-222-2-2-222-2-2-222-22200000000000000004i−4i000000000000000000000000−2i2i−2i2i000000000000000000000000
χ954-4-44444-4-44-44-4-44-4-222-2-2-222-2-2-222-2220000000000000000−4i4i0000000000000000000000002i−2i2i−2i000000000000000000000000
χ964-4-44-4-44-4-444-444-44-222-222-2-222-222-2-2-2000000000000004-40000000000000000000000-22-220000000000000000000000000000
χ974-4-44-4-44-4-444-444-44-222-222-2-222-222-2-2-200000000000000-4400000000000000000000002-22-20000000000000000000000000000
χ984-4-4-44-4444-4-44-44-44-2222-2-22-222-2-2-222-200004-4-4400000000000000-222-200000000000000000000000000000000000000000000
χ994-4-4-44-4444-4-44-44-44-2222-2-22-222-2-2-222-20000-444-4000000000000002-2-2200000000000000000000000000000000000000000000
χ1004-4-4-4-44444-44-44-44-44-4-4-4-4-44-444444-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-4-44444-44-44-44-4-222222-22-2-2-2-2-22-2200000000000000000000000000−2i32i32i3−2i30000000000000000000000000000000000000000
χ1024-4-4-4-44444-44-44-44-4-222222-22-2-2-2-2-22-22000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000000000000

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