Finite Group Databasebeta

← Group #10945115

Character table — Group #10945115

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order122222223444444444444444466666664444441212121212121212121212121212121212121212121212121212121244444444444444444444121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ71111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1
χ9111111111-1-1-1-11111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-111-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-11111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-111-1-111
χ11111111111-1-1-1-11111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-111-1-1-1-111-1-111
χ12111111111-1-1-1-11111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-111-1-11111-1-111-1-1
χ13111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1-1-111
χ14111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1
χ15111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-11111-1-1
χ16111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-111-1-1-1-111
χ17222222222222222222222-2-2-2-22222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2-2-2-2-22222222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ19222222222-2-2-2-22222-2-2-2-2-2-2-2-2222222222-2-222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-22222-2-2-2-222222222222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ2122222222-12222222222222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-100000000
χ2222222222-12222222222222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-21111111100000000
χ2322222222-1222222222222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111111100000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ2422222222-1222222222222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111111100000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ2522222222-12222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1111111111111-1-1-1-11111000000000000000022-2-2-1-1-1-1111100000000
χ2622222222-12222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1111111111111-1-1-1-111110000000000000000-2-2221111-1-1-1-100000000
χ2722222222-12222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-22222-1-1-1-111111111-1-1-1-111111111-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ2822222222-12222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-22222-1-1-1-111111111-1-1-1-111111111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ2922222222-1-2-2-2-22222-2-2-2-22222-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-1-1-1-1-11111-1-1-1-1111100000000000000002-22-2-1-111-1-11100000000
χ3022222222-1-2-2-2-22222-2-2-2-22222-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-1-1-1-1-11111-1-1-1-111110000000000000000-22-2211-1-111-1-100000000
χ3122222222-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-2221111-1-1-1-1-1-1-1-1111111111111-1-1-1-100000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ3222222222-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-2221111-1-1-1-1-1-1-1-1111111111111-1-1-1-100000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ3322222222-1-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-2-2-2-2221111111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000002-2-22-1-11111-1-100000000
χ3422222222-1-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-2-2-2-2221111111111111111-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-222-211-1-1-1-11100000000
χ3522222222-1-2-2-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-12222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-11111111100000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ3622222222-1-2-2-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-12222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-11111111100000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ372222-2-2-2-2222-2-222-2-222-2-20000222-2-2-2-200000022-2-2000022-2-2000022-2-20000000000000000000000000000000000002−22−22−22−2
χ382222-2-2-2-2222-2-222-2-222-2-20000222-2-2-2-200000022-2-2000022-2-2000022-2-2000000000000000000000000000000000000−22−22−22−22
χ392222-2-2-2-2222-2-2-2-222-2-2220000222-2-2-2-200000022-2-20000-2-2220000-2-2220000000000000000000000000000000000002−22−2−22−22
χ402222-2-2-2-2222-2-2-2-222-2-2220000222-2-2-2-200000022-2-20000-2-2220000-2-222000000000000000000000000000000000000−22−222−22−2
χ412222-2-2-2-22-2-22222-2-2-2-2220000222-2-2-2-2000000-2-222000022-2-20000-2-2220000000000000000000000000000000000002−2−222−2−22
χ422222-2-2-2-22-2-22222-2-2-2-2220000222-2-2-2-2000000-2-222000022-2-20000-2-222000000000000000000000000000000000000−222−2−222−2
χ432222-2-2-2-22-2-222-2-22222-2-20000222-2-2-2-2000000-2-2220000-2-222000022-2-20000000000000000000000000000000000002−2−22−222−2
χ442222-2-2-2-22-2-222-2-22222-2-20000222-2-2-2-2000000-2-2220000-2-222000022-2-2000000000000000000000000000000000000−222−22−2−22
χ4522-2-22-22-2200002i−2i2i−2i00002-22-22-2-22-22-2002i−2i00000000002i−2i2i−2i2i2i−2i−2i000022-2-2000000002i2i−2i−2i22-2-2000000000000000000000000
χ4622-2-22-22-2200002i−2i2i−2i00002-22-22-2-22-22-2002i−2i00000000002i−2i2i−2i2i2i−2i−2i000022-2-200000000−2i−2i2i2i-2-222000000000000000000000000
χ4722-2-22-22-2200002i−2i2i−2i0000-22-222-2-22-22-200−2i2i00000000002i−2i2i−2i−2i−2i2i2i0000-2-222000022-2-2000000002i2i−2i−2i00000000000000000000
χ4822-2-22-22-2200002i−2i2i−2i0000-22-222-2-22-22-200−2i2i00000000002i−2i2i−2i−2i−2i2i2i0000-2-2220000-2-22200000000−2i−2i2i2i00000000000000000000
χ4922-2-22-22-220000−2i2i−2i2i00002-22-22-2-22-22-200−2i2i0000000000−2i2i−2i2i−2i−2i2i2i000022-2-2000000002i2i−2i−2i-2-222000000000000000000000000
χ5022-2-22-22-220000−2i2i−2i2i00002-22-22-2-22-22-200−2i2i0000000000−2i2i−2i2i−2i−2i2i2i000022-2-200000000−2i−2i2i2i22-2-2000000000000000000000000
χ5122-2-22-22-220000−2i2i−2i2i0000-22-222-2-22-22-2002i−2i0000000000−2i2i−2i2i2i2i−2i−2i0000-2-222000022-2-200000000−2i−2i2i2i00000000000000000000
χ5222-2-22-22-220000−2i2i−2i2i0000-22-222-2-22-22-2002i−2i0000000000−2i2i−2i2i2i2i−2i−2i0000-2-2220000-2-222000000002i2i−2i−2i00000000000000000000
χ532-22-2-222-222i−2i2i−2i000000002-2-22-22-2-222-22i−2i00002i−2i2i−2i2i2i−2i−2i0000000000002-22-2000000002-22-200002i−2i2i−2i00000000000000000000
χ542-22-2-222-222i−2i2i−2i000000002-2-22-22-2-222-22i−2i00002i−2i2i−2i2i2i−2i−2i0000000000002-22-200000000-22-220000−2i2i−2i2i00000000000000000000
χ552-22-2-222-222i−2i2i−2i00000000-222-2-22-2-222-2−2i2i00002i−2i2i−2i−2i−2i2i2i000000000000-22-2200002i−2i2i−2i00002-22-2000000000000000000000000
χ562-22-2-222-222i−2i2i−2i00000000-222-2-22-2-222-2−2i2i00002i−2i2i−2i−2i−2i2i2i000000000000-22-220000−2i2i−2i2i0000-22-22000000000000000000000000
χ572-22-2-222-22−2i2i−2i2i000000002-2-22-22-2-222-2−2i2i0000−2i2i−2i2i−2i−2i2i2i0000000000002-22-2000000002-22-20000−2i2i−2i2i00000000000000000000
χ582-22-2-222-22−2i2i−2i2i000000002-2-22-22-2-222-2−2i2i0000−2i2i−2i2i−2i−2i2i2i0000000000002-22-200000000-22-2200002i−2i2i−2i00000000000000000000
χ592-22-2-222-22−2i2i−2i2i00000000-222-2-22-2-222-22i−2i0000−2i2i−2i2i2i2i−2i−2i000000000000-22-2200002i−2i2i−2i0000-22-22000000000000000000000000
χ602-22-2-222-22−2i2i−2i2i00000000-222-2-22-2-222-22i−2i0000−2i2i−2i2i2i2i−2i−2i000000000000-22-220000−2i2i−2i2i00002-22-2000000000000000000000000
χ612-2-22-2-2222000000002-22-222-2-2-2-22-2-22200002-200000000000000002-22-22-2-2222-2-22i−2i−2i2i2i−2i−2i2i0000000000000000000000000000
χ622-2-22-2-2222000000002-22-222-2-2-2-22-2-22200002-200000000000000002-22-22-2-2222-2-2−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000
χ632-2-22-2-2222000000002-22-2-2-222-2-22-2-2220000-2200000000000000002-22-2-222-2-2-222000000002-2-22-222-200000000000000000000
χ642-2-22-2-2222000000002-22-2-2-222-2-22-2-2220000-2200000000000000002-22-2-222-2-2-22200000000-222-22-2-2200000000000000000000
χ652-2-22-2-222200000000-22-2222-2-2-2-22-2-2220000-220000000000000000-22-222-2-22-2-2222i−2i−2i2i−2i2i2i−2i0000000000000000000000000000
χ662-2-22-2-222200000000-22-2222-2-2-2-22-2-2220000-220000000000000000-22-222-2-22-2-222−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000
χ672-2-22-2-222200000000-22-22-2-222-2-22-2-22200002-20000000000000000-22-22-222-222-2-2000000002-2-222-2-2200000000000000000000
χ682-2-22-2-222200000000-22-22-2-222-2-22-2-22200002-20000000000000000-22-22-222-222-2-200000000-222-2-222-200000000000000000000
χ694444-4-4-4-4-244-4-444-4-444-4-40000-2-2-22222000000-2-2220000-2-2220000-2-22200000000000000000000000000000000000000000000
χ704444-4-4-4-4-244-4-4-4-444-4-4440000-2-2-22222000000-2-222000022-2-2000022-2-200000000000000000000000000000000000000000000
χ714444-4-4-4-4-2-4-44444-4-4-4-4440000-2-2-2222200000022-2-20000-2-222000022-2-200000000000000000000000000000000000000000000
χ724444-4-4-4-4-2-4-444-4-44444-4-40000-2-2-2222200000022-2-2000022-2-20000-2-22200000000000000000000000000000000000000000000
χ7344-4-44-44-4-200004i−4i4i−4i00004-44-4-222-22-22004i−4i0000000000−2i2i−2i2i−2i−2i2i2i0000-2-2220000000000000000000000000000000000000000
χ7444-4-44-44-4-200004i−4i4i−4i0000-44-44-222-22-2200−4i4i0000000000−2i2i−2i2i2i2i−2i−2i000022-2-20000000000000000000000000000000000000000
χ7544-4-44-44-4-20000−4i4i−4i4i00004-44-4-222-22-2200−4i4i00000000002i−2i2i−2i2i2i−2i−2i0000-2-2220000000000000000000000000000000000000000
χ7644-4-44-44-4-20000−4i4i−4i4i0000-44-44-222-22-22004i−4i00000000002i−2i2i−2i−2i−2i2i2i000022-2-20000000000000000000000000000000000000000
χ7744-4-4-44-44400004i−4i−4i4i000000004-4-4-44-44000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000
χ7844-4-4-44-4440000−4i4i4i−4i000000004-4-4-44-4400000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000
χ7944-4-4-44-44-200004i−4i−4i4i00000000-2222-22-2000000000023−2323−23−2i2i2i−2i000000000000−2i32i3−2i32i3000000000000000000000000000000000000
χ8044-4-4-44-44-200004i−4i−4i4i00000000-2222-22-20000000000−2323−2323−2i2i2i−2i0000000000002i3−2i32i3−2i3000000000000000000000000000000000000
χ8144-4-4-44-44-20000−4i4i4i−4i00000000-2222-22-2000000000023−2323−232i−2i−2i2i0000000000002i3−2i32i3−2i3000000000000000000000000000000000000
χ8244-4-4-44-44-20000−4i4i4i−4i00000000-2222-22-20000000000−2323−23232i−2i−2i2i000000000000−2i32i3−2i32i3000000000000000000000000000000000000
χ834-44-44-4-4444i−4i−4i4i000000000000-44-44-4-440000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ844-44-44-4-444−4i4i4i−4i000000000000-44-44-4-44000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ854-44-44-4-44-24i−4i−4i4i0000000000002-22-222-2000000−2i2i2i−2i0000000023−2323−2300000000−2i32i32i3−2i3000000000000000000000000000000000000
χ864-44-44-4-44-24i−4i−4i4i0000000000002-22-222-2000000−2i2i2i−2i00000000−2323−2323000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ874-44-44-4-44-2−4i4i4i−4i0000000000002-22-222-20000002i−2i−2i2i0000000023−2323−23000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ884-44-44-4-44-2−4i4i4i−4i0000000000002-22-222-20000002i−2i−2i2i00000000−2323−232300000000−2i32i32i3−2i3000000000000000000000000000000000000
χ894-44-4-444-4-24i−4i4i−4i000000004-4-442-222-2-224i−4i0000−2i2i−2i2i−2i−2i2i2i000000000000-22-220000000000000000000000000000000000000000
χ904-44-4-444-4-24i−4i4i−4i00000000-444-42-222-2-22−4i4i0000−2i2i−2i2i2i2i−2i−2i0000000000002-22-20000000000000000000000000000000000000000
χ914-44-4-444-4-2−4i4i−4i4i000000004-4-442-222-2-22−4i4i00002i−2i2i−2i2i2i−2i−2i000000000000-22-220000000000000000000000000000000000000000
χ924-44-4-444-4-2−4i4i−4i4i00000000-444-42-222-2-224i−4i00002i−2i2i−2i−2i−2i2i2i0000000000002-22-20000000000000000000000000000000000000000
χ934-4-4444-4-44000000004-4-440000-4-4444-4-400000000000000000000004-4-4400000000000000000000000000000000000000000000
χ944-4-4444-4-4400000000-444-40000-4-4444-4-40000000000000000000000-444-400000000000000000000000000000000000000000000
χ954-4-4444-4-4-2000000004-4-44000022-2-2-2220000000000−2i32i32i3−2i300002i3−2i3−2i32i3-222-200000000000000000000000000000000000000000000
χ964-4-4444-4-4-2000000004-4-44000022-2-2-22200000000002i3−2i3−2i32i30000−2i32i32i3−2i3-222-200000000000000000000000000000000000000000000
χ974-4-4444-4-4-200000000-444-4000022-2-2-2220000000000−2i32i32i3−2i30000−2i32i32i3−2i32-2-2200000000000000000000000000000000000000000000
χ984-4-4444-4-4-200000000-444-4000022-2-2-22200000000002i3−2i3−2i32i300002i3−2i3−2i32i32-2-2200000000000000000000000000000000000000000000
χ994-4-44-4-444-2000000004-44-444-4-422-222-2-200004-40000000000000000-22-22-222-2-2-222000000000000000000000000000000000000
χ1004-4-44-4-444-2000000004-44-4-4-44422-222-2-20000-440000000000000000-22-222-2-2222-2-2000000000000000000000000000000000000
χ1014-4-44-4-444-200000000-44-4444-4-422-222-2-20000-4400000000000000002-22-2-222-222-2-2000000000000000000000000000000000000
χ1024-4-44-4-444-200000000-44-44-4-44422-222-2-200004-400000000000000002-22-22-2-22-2-222000000000000000000000000000000000000

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