Finite Group Databasebeta

← Group #10735707

Character table — Group #10735707

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
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ5111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111
χ6111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ7111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111
χ911111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1
χ1011111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111111-1-1-1-1-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1
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
χ182222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-11111000000000000000000000000
χ192222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-222-2-222-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-1-1-1-1000000000000000000000000
χ202222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-222-2-222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-111111111000000000000000000000000
χ212222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-2-2-2-2-2-2-1-1-1-111111111-1-1-1-11111-1-1-1-11111000000000000000000000000
χ222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-22222-2-21111111111111111-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ232222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-22222-1-1-1-11111-1-1-1-11111-1-1-1-111111111000000000000000000000000
χ242222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-22222-2-22211111111-1-1-1-1-1-1-1-111111111-1-1-1-1000000000000000000000000
χ2522222-2-2-2-2-22-2-22-22222222-2-2-2-2-222-2-2-22i2i−2i−2i2i2i−2i−2i000000002-200002i2i−2i−2i22-2-2000000002i2i−2i−2i0000000000000000000000000000
χ2622222-2-2-2-2-22-2-22-22222222-2-2-2-2-222-2-2-22i2i−2i−2i−2i−2i2i2i00000000-2200002i2i−2i−2i-2-22200000000−2i−2i2i2i0000000000000000000000000000
χ2722222-2-2-2-2-22-2-22-22222222-2-2-2-2-222-2-2-2−2i−2i2i2i2i2i−2i−2i00000000-220000−2i−2i2i2i-2-222000000002i2i−2i−2i0000000000000000000000000000
χ2822222-2-2-2-2-22-2-22-22222222-2-2-2-2-222-2-2-2−2i−2i2i2i−2i−2i2i2i000000002-20000−2i−2i2i2i22-2-200000000−2i−2i2i2i0000000000000000000000000000
χ2922222-2-2-2-2-22-2-22-22-1-1-1-1-1-111111-1-11112i2i−2i−2i2i2i−2i−2i000000002-2−i3−i3i3i3−i−iii-1-11133−3−3−i3−i3i3i3−i−iii33−3−3000000000000000000000000
χ3022222-2-2-2-2-22-2-22-22-1-1-1-1-1-111111-1-11112i2i−2i−2i2i2i−2i−2i000000002-2i3i3−i3−i3−i−iii-1-111−3−333i3i3−i3−i3−i−iii−3−333000000000000000000000000
χ3122222-2-2-2-2-22-2-22-22-1-1-1-1-1-111111-1-11112i2i−2i−2i−2i−2i2i2i00000000-22−i3−i3i3i3−i−iii11-1-1−3−333i3i3−i3−i3ii−i−i33−3−3000000000000000000000000
χ3222222-2-2-2-2-22-2-22-22-1-1-1-1-1-111111-1-11112i2i−2i−2i−2i−2i2i2i00000000-22i3i3−i3−i3−i−iii11-1-133−3−3−i3−i3i3i3ii−i−i−3−333000000000000000000000000
χ3322222-2-2-2-2-22-2-22-22-1-1-1-1-1-111111-1-1111−2i−2i2i2i2i2i−2i−2i00000000-22−i3−i3i3i3ii−i−i11-1-133−3−3i3i3−i3−i3−i−iii−3−333000000000000000000000000
χ3422222-2-2-2-2-22-2-22-22-1-1-1-1-1-111111-1-1111−2i−2i2i2i2i2i−2i−2i00000000-22i3i3−i3−i3ii−i−i11-1-1−3−333−i3−i3i3i3−i−iii33−3−3000000000000000000000000
χ3522222-2-2-2-2-22-2-22-22-1-1-1-1-1-111111-1-1111−2i−2i2i2i−2i−2i2i2i000000002-2−i3−i3i3i3ii−i−i-1-111−3−333−i3−i3i3i3ii−i−i−3−333000000000000000000000000
χ3622222-2-2-2-2-22-2-22-22-1-1-1-1-1-111111-1-1111−2i−2i2i2i−2i−2i2i2i000000002-2i3i3−i3−i3ii−i−i-1-11133−3−3i3i3−i3−i3ii−i−i33−3−3000000000000000000000000
χ37222-2-22-22-22-22-22-2-2222-2-2-222-2-2-22-22-2200002-22-20000000000000000000000000000002-22-20000000000002i2i−2i−2i00002i−2i000000
χ38222-2-22-22-22-22-22-2-2222-2-2-222-2-2-22-22-2200002-22-20000000000000000000000000000002-22-2000000000000−2i−2i2i2i0000−2i2i000000
χ39222-2-22-22-22-22-22-2-2222-2-2-222-2-2-22-22-220000-22-22000000000000000000000000000000-22-220000000000002i2i−2i−2i0000−2i2i000000
χ40222-2-22-22-22-22-22-2-2222-2-2-222-2-2-22-22-220000-22-22000000000000000000000000000000-22-22000000000000−2i−2i2i2i00002i−2i000000
χ41222-2-2-22-22-2-2-2222-2222-2-2-2-2-22222-2-22-200002i−2i−2i2i0000000000000000000000000000002i−2i−2i2i00002i2i−2i−2i00000000000000002-200
χ42222-2-2-22-22-2-2-2222-2222-2-2-2-2-22222-2-22-200002i−2i−2i2i0000000000000000000000000000002i−2i−2i2i0000−2i−2i2i2i0000000000000000-2200
χ43222-2-2-22-22-2-2-2222-2222-2-2-2-2-22222-2-22-20000−2i2i2i−2i000000000000000000000000000000−2i2i2i−2i00002i2i−2i−2i0000000000000000-2200
χ44222-2-2-22-22-2-2-2222-2222-2-2-2-2-22222-2-22-20000−2i2i2i−2i000000000000000000000000000000−2i2i2i−2i0000−2i−2i2i2i00000000000000002-200
χ4522-22-22-2-22-2-222-2-2222-22-2-2222-2-2-22-22-200000000002i−2i0000000000000000002i−2i2i−2i0000000000002-22-22i2i−2i−2i0000000000000000
χ4622-22-22-2-22-2-222-2-2222-22-2-2222-2-2-22-22-200000000002i−2i0000000000000000002i−2i2i−2i000000000000-22-22−2i−2i2i2i0000000000000000
χ4722-22-22-2-22-2-222-2-2222-22-2-2222-2-2-22-22-20000000000−2i2i000000000000000000−2i2i−2i2i0000000000002-22-2−2i−2i2i2i0000000000000000
χ4822-22-22-2-22-2-222-2-2222-22-2-2222-2-2-22-22-20000000000−2i2i000000000000000000−2i2i−2i2i000000000000-22-222i2i−2i−2i0000000000000000
χ4922-2-22-2-22222-22-2-2-222-2-222-2-22-2-2-2-2222000000002-2000000002-22-20000000000000000000000002i−2i−2i2i000000002i2i−2i−2i00000000
χ5022-2-22-2-22222-22-2-2-222-2-222-2-22-2-2-2-2222000000002-2000000002-22-2000000000000000000000000−2i2i2i−2i00000000−2i−2i2i2i00000000
χ5122-2-22-2-22222-22-2-2-222-2-222-2-22-2-2-2-222200000000-2200000000-22-220000000000000000000000002i−2i−2i2i00000000−2i−2i2i2i00000000
χ5222-2-22-2-22222-22-2-2-222-2-222-2-22-2-2-2-222200000000-2200000000-22-22000000000000000000000000−2i2i2i−2i000000002i2i−2i−2i00000000
χ532-22-2-2222-2-22-22-2-222-22-22-22-222-2-222-2-22i−2i2i−2i0000000000000000002i−2i2i−2i0000000000000000000000002i−2i2i−2i00000000002-20000
χ542-22-2-2222-2-22-22-2-222-22-22-22-222-2-222-2-22i−2i2i−2i0000000000000000002i−2i2i−2i000000000000000000000000−2i2i−2i2i0000000000-220000
χ552-22-2-2222-2-22-22-2-222-22-22-22-222-2-222-2-2−2i2i−2i2i000000000000000000−2i2i−2i2i0000000000000000000000002i−2i2i−2i0000000000-220000
χ562-22-2-2222-2-22-22-2-222-22-22-22-222-2-222-2-2−2i2i−2i2i000000000000000000−2i2i−2i2i000000000000000000000000−2i2i−2i2i00000000002-20000
χ572-22-2-2-2-2-22222-2-2222-22-22-2-22-2-22-22-2222-2-220000000000000000002-2-22000000000000000000000000000000002-22-20000002-2
χ582-22-2-2-2-2-22222-2-2222-22-22-2-22-2-22-22-2222-2-220000000000000000002-2-2200000000000000000000000000000000-22-22000000-22
χ592-22-2-2-2-2-22222-2-2222-22-22-2-22-2-22-22-222-222-2000000000000000000-222-2000000000000000000000000000000002-22-2000000-22
χ602-22-2-2-2-2-22222-2-2222-22-22-2-22-2-22-22-222-222-2000000000000000000-222-200000000000000000000000000000000-22-220000002-2
χ612-2-22-222-2222-2-22-2-22-2-222-22-2-22-22-2-2220000000000002-200000000000000000000000000002-22-2000000002i−2i2i−2i2i−2i−2i2i00000000
χ622-2-22-222-2222-2-22-2-22-2-222-22-2-22-22-2-2220000000000002-200000000000000000000000000002-22-200000000−2i2i−2i2i−2i2i2i−2i00000000
χ632-2-22-222-2222-2-22-2-22-2-222-22-2-22-22-2-222000000000000-220000000000000000000000000000-22-22000000002i−2i2i−2i−2i2i2i−2i00000000
χ642-2-22-222-2222-2-22-2-22-2-222-22-2-22-22-2-222000000000000-220000000000000000000000000000-22-2200000000−2i2i−2i2i2i−2i−2i2i00000000
χ652-2-2-222-2-2-22-2-222222-2-2-2-222-22-2222-2-22000000000000002-20000000000000000002-22-20000000000002-2-222-2-22000000000000
χ662-2-2-222-2-2-22-2-222222-2-2-2-222-22-2222-2-22000000000000002-20000000000000000002-22-2000000000000-222-2-222-2000000000000
χ672-2-2-222-2-2-22-2-222222-2-2-2-222-22-2222-2-2200000000000000-22000000000000000000-22-220000000000002-2-22-222-2000000000000
χ682-2-2-222-2-2-22-2-222222-2-2-2-222-22-2222-2-2200000000000000-22000000000000000000-22-22000000000000-222-22-2-22000000000000
χ69444-4-44-44-44-44-44-4-4-2-2-2222-2-2222-22-22-200004-44-4000000000000000000000000000000-22-220000000000000000000000000000
χ70444-4-44-44-44-44-44-4-4-2-2-2222-2-2222-22-22-20000-44-440000000000000000000000000000002-22-20000000000000000000000000000
χ71444-4-4-44-44-4-4-4444-4-2-2-222222-2-2-2-222-2200004i−4i−4i4i000000000000000000000000000000−2i2i2i−2i0000000000000000000000000000
χ72444-4-4-44-44-4-4-4444-4-2-2-222222-2-2-2-222-220000−4i4i4i−4i0000000000000000000000000000002i−2i−2i2i0000000000000000000000000000
χ7344-44-44-4-44-4-444-4-44-2-22-222-2-2-2222-22-2200000000004i−4i000000000000000000−2i2i−2i2i000000000000000000000000000000000000
χ7444-44-44-4-44-4-444-4-44-2-22-222-2-2-2222-22-220000000000−4i4i0000000000000000002i−2i2i−2i000000000000000000000000000000000000
χ7544-44-4-444-44-4-4-4-44444-44-4-4-4-4-444-444-440000000000000000000000000000000000000000000000000000000000000000000000
χ7644-44-4-444-44-4-4-4-444-2-22-222222-2-22-2-22-2000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000000000000000
χ7744-44-4-444-44-4-4-4-444-2-22-222222-2-22-2-22-20000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ7844-4-4444-4-4-444-4-44-444-4-44444-444-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ7944-4-4444-4-4-444-4-44-4-2-222-2-2-2-22-2-222222000000000000000000−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ8044-4-4444-4-4-444-4-44-4-2-222-2-2-2-22-2-2222220000000000000000002i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ8144-4-44-4-44444-44-4-4-4-2-222-2-222-22222-2-2-2000000004-400000000-22-22000000000000000000000000000000000000000000000000
χ8244-4-44-4-44444-44-4-4-4-2-222-2-222-22222-2-2-200000000-44000000002-22-2000000000000000000000000000000000000000000000000
χ834-44444-444-4-4-4-4-44-44-444-444-4-4-44-4-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ844-44444-444-4-4-4-4-44-4-22-2-22-2-2222-222-2-220000000000000000000000000023−2323−230000000000000000000000000000000000000000
χ854-44444-444-4-4-4-4-44-4-22-2-22-2-2222-222-2-2200000000000000000000000000−2323−23230000000000000000000000000000000000000000
χ864-4444-44-4-44-444-4-4-44-444-44-4444-4-4-4-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ874-4444-44-4-44-444-4-4-4-22-2-22-22-2-2-222222-20000000000000000000000000023−23−23230000000000000000000000000000000000000000
χ884-4444-44-4-44-444-4-4-4-22-2-22-22-2-2-222222-200000000000000000000000000−232323−230000000000000000000000000000000000000000
χ894-44-4-4444-4-44-44-4-44-22-22-22-22-2-222-2-2224i−4i4i−4i000000000000000000−2i2i−2i2i00000000000000000000000000000000000000000000
χ904-44-4-4444-4-44-44-4-44-22-22-22-22-2-222-2-222−4i4i−4i4i0000000000000000002i−2i2i−2i00000000000000000000000000000000000000000000
χ914-44-4-4-4-4-44444-4-444-22-22-222-222-22-22-2-24-4-44000000000000000000-222-200000000000000000000000000000000000000000000
χ924-44-4-4-4-4-44444-4-444-22-22-222-222-22-22-2-2-444-40000000000000000002-2-2200000000000000000000000000000000000000000000
χ934-4-44-444-4444-4-44-4-4-222-2-22-222-22-222-2-20000000000004-40000000000000000000000000000-22-22000000000000000000000000
χ944-4-44-444-4444-4-44-4-4-222-2-22-222-22-222-2-2000000000000-4400000000000000000000000000002-22-2000000000000000000000000
χ954-4-44-4-4-44-4-444444-44-4-444-4-444-444-44-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ964-4-44-4-4-44-4-444444-4-222-2-222-2-22-2-22-22200000000000000000000000000000000000000000023−23−2323000000000000000000000000
χ974-4-44-4-4-44-4-444444-4-222-2-222-2-22-2-22-222000000000000000000000000000000000000000000−232323−23000000000000000000000000
χ984-4-4-444-4-4-44-4-44444-22222-2-22-22-2-2-222-2000000000000004-4000000000000000000-22-2200000000000000000000000000000000
χ994-4-4-444-4-4-44-4-44444-22222-2-22-22-2-2-222-200000000000000-440000000000000000002-22-200000000000000000000000000000000
χ1004-4-4-44-4444-4-44-44-444-4-4-4-44-44-44-44444-40000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-44-4444-4-44-44-44-22222-22-22-22-2-2-2-220000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000000000
χ1024-4-4-44-4444-4-44-44-44-22222-22-22-22-2-2-2-2200000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000000000

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