Finite Group Databasebeta

← Group #10844754

Character table — Group #10844754

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222244444444444444444444444444444444444466668888121212121212121212121212121216161616161616161616242424244848
order122222223444466666668888888844448888121212121212121212121212242424242424242424242424242424244444444444444488888888441212121212121212444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1111111-1-1
χ911111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11-1
χ1011111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-11
χ1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-111-11
χ1211111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-11111-1-111-1-11-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-111111-11111-1-1-1-111-1-1-11
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-11111-11-1-1-1-11111-1-1111-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1111111-1-1-1-11-11111-1-1-1-1-1-1111-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-11-1-1-1-1111111-1-1-11
χ17222222222-2-2-2-222222220000000022-2-200002222-2-2-2-2-2-2-2-2000000000000000022220000-2-2-2-222000000000000000000000000
χ18222222222-2-2-2-222222220000000022-2-200002222-2-2-2-2-2-2-2-20000000000000000-2-2-2-200002222-2-2000000000000000000000000
χ19222222222-2-2-2-2222222200000000-2-2220000-2-2-2-2-2-22222-2-200000000000000002222000022-2-2-2-2000000000000000000000000
χ20222222222-2-2-2-2222222200000000-2-2220000-2-2-2-2-2-22222-2-20000000000000000-2-2-2-20000-2-22222000000000000000000000000
χ2122222222-12222-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000000022-1-1-1-1-1-1-1-1000000
χ2222222222-12222-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000000000-2-211111111000000
χ2322222222-12222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-21111-1-11111-1-1-1-1-1-1-1-1-1-1111111110000222200000000000000-2-2-1-111-1-111000000
χ2422222222-12222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-21111-1-11111-1-1-1-1-1-1-1-1-1-1111111110000-2-2-2-2000000000000002211-1-111-1-1000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000022-2-200000000000000-22-1-11111-1-1000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000-2-222000000000000002-211-1-1-1-111000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-222221111-1-11111-1-111111111-1-1-1-1-1-1-1-1000022-2-2000000000000002-2-1-1-1-11111000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-222221111-1-11111-1-111111111-1-1-1-1-1-1-1-10000-2-22200000000000000-221111-1-1-1-1000000
χ29222-2-2-22-222-2-222-2-22-22-22i2i2i2i−2i−2i−2i−2i0000000000002-200002-22i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000002i−2i2-200
χ30222-2-2-22-222-2-222-2-22-22-22i2i2i2i−2i−2i−2i−2i0000000000002-200002-22i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000−2i2i-2200
χ31222-2-2-22-222-2-222-2-22-22-2−2i−2i−2i−2i2i2i2i2i0000000000002-200002-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000002i−2i-2200
χ32222-2-2-22-222-2-222-2-22-22-2−2i−2i−2i−2i2i2i2i2i0000000000002-200002-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000−2i2i2-200
χ3322-2-2-22-22200002-2-2-22-22−i2−i2i2i2−i2−i2i2i2002-2−i2−i2i2i200000022-2-200−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i22i2i−2i−2i00002i−2i000022−2−222−2−20000000000000000
χ3422-2-2-22-22200002-2-2-22-22−i2−i2i2i2−i2−i2i2i2002-2−i2−i2i2i200000022-2-200−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−2i−2i2i2i0000−2i2i0000−2−222−2−2220000000000000000
χ3522-2-2-22-22200002-2-2-22-22−i2−i2i2i2−i2−i2i2i200-22i2i2−i2−i2000000-2-22200−i2−i2i2i2−i2−i2i2i2i2i2i2i2−i2−i2−i2−i22i2i−2i−2i0000−2i2i000022−2−2−2−2220000000000000000
χ3622-2-2-22-22200002-2-2-22-22−i2−i2i2i2−i2−i2i2i200-22i2i2−i2−i2000000-2-22200−i2−i2i2i2−i2−i2i2i2i2i2i2i2−i2−i2−i2−i2−2i−2i2i2i00002i−2i0000−2−22222−2−20000000000000000
χ3722-2-2-22-22200002-2-2-22-22i2i2−i2−i2i2i2−i2−i2002-2i2i2−i2−i200000022-2-200i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i22i2i−2i−2i00002i−2i0000−2−222−2−2220000000000000000
χ3822-2-2-22-22200002-2-2-22-22i2i2−i2−i2i2i2−i2−i2002-2i2i2−i2−i200000022-2-200i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−2i−2i2i2i0000−2i2i000022−2−222−2−20000000000000000
χ3922-2-2-22-22200002-2-2-22-22i2i2−i2−i2i2i2−i2−i200-22−i2−i2i2i2000000-2-22200i2i2−i2−i2i2i2−i2−i2−i2−i2−i2−i2i2i2i2i22i2i−2i−2i0000−2i2i0000−2−22222−2−20000000000000000
χ4022-2-2-22-22200002-2-2-22-22i2i2−i2−i2i2i2−i2−i200-22−i2−i2i2i2000000-2-22200i2i2−i2−i2i2i2−i2−i2−i2−i2−i2−i2i2i2i2i2−2i−2i2i2i00002i−2i000022−2−2−2−2220000000000000000
χ412-222-2-2-2220000-22-22-2-222−22−22−22−22i−2i00−i2i2−i2i22i2i−2i−2i000000002−22−22−22−2−i2−i2i2i2−i2−i2i2i22i−2i2i−2i000000002-2−i2i2−i2i22−22−20000000000000000
χ422-222-2-2-2220000-22-22-2-222−22−22−22−22i−2i00−i2i2−i2i22i2i−2i−2i000000002−22−22−22−2−i2−i2i2i2−i2−i2i2i2−2i2i−2i2i00000000-22i2−i2i2−i2−22−220000000000000000
χ432-222-2-2-2220000-22-22-2-222−22−22−22−2−2i2i00i2−i2i2−i2−2i−2i2i2i000000002−22−22−22−2i2i2−i2−i2i2i2−i2−i22i−2i2i−2i00000000-22−i2i2−i2i2−22−220000000000000000
χ442-222-2-2-2220000-22-22-2-222−22−22−22−2−2i2i00i2−i2i2−i2−2i−2i2i2i000000002−22−22−22−2i2i2−i2−i2i2i2−i2−i2−2i2i−2i2i000000002-2i2−i2i2−i22−22−20000000000000000
χ452-222-2-2-2220000-22-22-2-22−22−22−22−222i−2i00i2−i2i2−i22i2i−2i−2i00000000−22−22−22−22i2i2−i2−i2i2i2−i2−i22i−2i2i−2i000000002-2i2−i2i2−i2−22−220000000000000000
χ462-222-2-2-2220000-22-22-2-22−22−22−22−222i−2i00i2−i2i2−i22i2i−2i−2i00000000−22−22−22−22i2i2−i2−i2i2i2−i2−i2−2i2i−2i2i00000000-22−i2i2−i2i22−22−20000000000000000
χ472-222-2-2-2220000-22-22-2-22−22−22−22−22−2i2i00−i2i2−i2i2−2i−2i2i2i00000000−22−22−22−22−i2−i2i2i2−i2−i2i2i22i−2i2i−2i00000000-22i2−i2i2−i22−22−20000000000000000
χ482-222-2-2-2220000-22-22-2-22−22−22−22−22−2i2i00−i2i2−i2i2−2i−2i2i2i00000000−22−22−22−22−i2−i2i2i2−i2−i2i2i2−2i2i−2i2i000000002-2−i2i2−i2i2−22−220000000000000000
χ492-2-22-222-222-22-2-22-2-222-22-2-22-222-20000000000002-20000-222-2-22-222-20000000000002i−2i2i−2i00000000000000002i−2i002i−2i00000000
χ502-2-22-222-222-22-2-22-2-222-22-2-22-222-20000000000002-20000-222-2-22-222-2000000000000−2i2i−2i2i0000000000000000−2i2i00−2i2i00000000
χ512-2-22-222-222-22-2-22-2-222-2-222-22-2-220000000000002-20000-22-222-22-2-220000000000002i−2i−2i2i00000000000000002i−2i00−2i2i00000000
χ522-2-22-222-222-22-2-22-2-222-2-222-22-2-220000000000002-20000-22-222-22-2-22000000000000−2i2i2i−2i0000000000000000−2i2i002i−2i00000000
χ532-2-22-222-2-12-22-21-111-1-112-2-22-222-2000000003−33−3-113−33−31-1-111-11-1-113−33−33−33−300002i−2i2i−2i0000000000000000−ii−i3i3−ii−i3i3000000
χ542-2-22-222-2-12-22-21-111-1-112-2-22-222-2000000003−33−3-113−33−31-1-111-11-1-113−33−33−33−30000−2i2i−2i2i0000000000000000i−ii3−i3i−ii3−i3000000
χ552-2-22-222-2-12-22-21-111-1-112-2-22-222-200000000−33−33-11−33−331-1-111-11-1-11−33−33−33−3300002i−2i2i−2i0000000000000000−iii3−i3−iii3−i3000000
χ562-2-22-222-2-12-22-21-111-1-112-2-22-222-200000000−33−33-11−33−331-1-111-11-1-11−33−33−33−330000−2i2i−2i2i0000000000000000i−i−i3i3i−i−i3i3000000
χ572-2-22-222-2-12-22-21-111-1-11-222-22-2-22000000003−33−3-113−33−31-11-1-11-111-1−33−33−33−3300002i−2i−2i2i0000000000000000−iii3−i3i−i−i3i3000000
χ582-2-22-222-2-12-22-21-111-1-11-222-22-2-22000000003−33−3-113−33−31-11-1-11-111-1−33−33−33−330000−2i2i2i−2i0000000000000000i−i−i3i3−iii3−i3000000
χ592-2-22-222-2-12-22-21-111-1-11-222-22-2-2200000000−33−33-11−33−331-11-1-11-111-13−33−33−33−300002i−2i−2i2i0000000000000000−ii−i3i3i−ii3−i3000000
χ602-2-22-222-2-12-22-21-111-1-11-222-22-2-2200000000−33−33-11−33−331-11-1-11-111-13−33−33−33−30000−2i2i2i−2i0000000000000000i−ii3−i3−ii−i3i3000000
χ612-2-2-22-222222-2-2-2-22-2-2222i−2i−2i2i2i−2i−2i2i000000000000220000-2-22i−2i−2i2i2i−2i−2i2i000000002-2-220000002-200−2i2i2i−2i00000000000000000000
χ622-2-2-22-222222-2-2-2-22-2-2222i−2i−2i2i2i−2i−2i2i000000000000220000-2-22i−2i−2i2i2i−2i−2i2i00000000-222-2000000-22002i−2i−2i2i00000000000000000000
χ632-2-2-22-222222-2-2-2-22-2-222−2i2i2i−2i−2i2i2i−2i000000000000220000-2-2−2i2i2i−2i−2i2i2i−2i000000002-2-220000002-2002i−2i−2i2i00000000000000000000
χ642-2-2-22-222222-2-2-2-22-2-222−2i2i2i−2i−2i2i2i−2i000000000000220000-2-2−2i2i2i−2i−2i2i2i−2i00000000-222-2000000-2200−2i2i2i−2i00000000000000000000
χ652-2-2-22-2222-2-222-2-22-2-2220000000000002-2-220000-2-20000220000000022-2-2-2-2222-2-22000000-220000002-2-220000000000000000
χ662-2-2-22-2222-2-222-2-22-2-2220000000000002-2-220000-2-20000220000000022-2-2-2-222-222-20000002-2000000-222-20000000000000000
χ672-2-2-22-2222-2-222-2-22-2-222000000000000-222-20000-2-200002200000000-2-22222-2-22-2-22000000-22000000-222-20000000000000000
χ682-2-2-22-2222-2-222-2-22-2-222000000000000-222-20000-2-200002200000000-2-22222-2-2-222-20000002-20000002-2-220000000000000000
χ6944444444-2-4-4-4-4-2-2-2-2-2-2-20000000044-4-40000-2-2-2-222222222000000000000000000000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-2-2-2-2-2-2-200000000-4-4440000222222-2-2-2-222000000000000000000000000000000000000000000000000000000
χ71444-4-4-44-44-444-44-4-44-44-400000000000000000000-440000-44000000000000000000000000000000000000000000000000000000
χ72444-4-4-44-4-24-4-44-222-22-224i4i4i4i−4i−4i−4i−4i000000000000-220000-22−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000000000
χ73444-4-4-44-4-24-4-44-222-22-22−4i−4i−4i−4i4i4i4i4i000000000000-220000-222i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000000000
χ74444-4-4-44-4-2-444-4-222-22-22000000000000000000002-200002-20000000023−23−2323−232323−2300000000000000000000000000000000000000
χ75444-4-4-44-4-2-444-4-222-22-22000000000000000000002-200002-200000000−232323−2323−23−232300000000000000000000000000000000000000
χ7644-444-4-4-440000444-4-4-4-42222−22−22−22−222222000000000000000000002222−22−22−22−2222220000000000000000000000000000000000000000000000
χ7744-444-4-4-440000444-4-4-4-4−22−2222222222−22−2200000000000000000000−22−2222222222−22−220000000000000000000000000000000000000000000000
χ7844-444-4-4-4-20000-2-2-222222222−22−22−22−22222200000000−2i32i32i3−2i300000000−2−22222−2−2i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000000000
χ7944-444-4-4-4-20000-2-2-222222222−22−22−22−222222000000002i3−2i3−2i32i300000000−2−22222−2−2−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000000000
χ8044-444-4-4-4-20000-2-2-22222−22−2222222222−22−2200000000−2i32i32i3−2i30000000022−2−2−2−222−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000000000
χ8144-444-4-4-4-20000-2-2-22222−22−2222222222−22−22000000002i3−2i3−2i32i30000000022−2−2−2−222i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000000000
χ8244-4-4-44-44-20000-2222-22-2−2i2−2i22i22i2−2i2−2i22i22i2004-4−2i2−2i22i22i2000000-2-22200i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000000000000000000000000000000000
χ8344-4-4-44-44-20000-2222-22-2−2i2−2i22i22i2−2i2−2i22i22i200-442i22i2−2i2−2i200000022-2-200i2i2−i2−i2i2i2−i2−i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000000000000000
χ8444-4-4-44-44-20000-2222-22-22i22i2−2i2−2i22i22i2−2i2−2i2004-42i22i2−2i2−2i2000000-2-22200−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000000000000000
χ8544-4-4-44-44-20000-2222-22-22i22i2−2i2−2i22i22i2−2i2−2i200-44−2i2−2i22i22i200000022-2-200−i2−i2i2i2−i2−i2i2i2i2i2i2i2−i2−i2−i2−i200000000000000000000000000000000000000
χ864-444-4-4-44-200002-22-222-222−2222−2222−2222−224i−4i00−2i22i2−2i22i2−2i−2i2i2i00000000−22−22−22−22i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000000000
χ874-444-4-4-44-200002-22-222-222−2222−2222−2222−22−4i4i002i2−2i22i2−2i22i2i−2i−2i00000000−22−22−22−22−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000000000
χ884-444-4-4-44-200002-22-222-2−2222−2222−2222−22224i−4i002i2−2i22i2−2i2−2i−2i2i2i000000002−22−22−22−2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000000000
χ894-444-4-4-44-200002-22-222-2−2222−2222−2222−2222−4i4i00−2i22i2−2i22i22i2i−2i−2i000000002−22−22−22−2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000000000
χ904-44-444-4-440000-4-4444-4-4−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000000000
χ914-44-444-4-440000-4-4444-4-42i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000000000
χ924-44-444-4-4-2000022-2-2-222−2i22i2−2i22i22i2−2i22i2−2i20000000000000023−23−232300i2−i2i2−i2−i2i2−i2i2−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000000000
χ934-44-444-4-4-2000022-2-2-222−2i22i2−2i22i22i2−2i22i2−2i200000000000000−232323−2300i2−i2i2−i2−i2i2−i2i2i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000000000
χ944-44-444-4-4-2000022-2-2-2222i2−2i22i2−2i2−2i22i2−2i22i20000000000000023−23−232300−i2i2−i2i2i2−i2i2−i2i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000000000
χ954-44-444-4-4-2000022-2-2-2222i2−2i22i2−2i2−2i22i2−2i22i200000000000000−232323−2300−i2i2−i2i2i2−i2i2−i2−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000000000
χ964-4-44-444-44-44-44-44-4-444-400000000000000000000-4400004-4000000000000000000000000000000000000000000000000000000
χ974-4-44-444-4-2-44-442-222-2-22000000000000000023−2323−232-2−2323−2323-22000000000000000000000000000000000000000000000000000000
χ984-4-44-444-4-2-44-442-222-2-220000000000000000−2323−23232-223−2323−23-22000000000000000000000000000000000000000000000000000000
χ994-4-4-44-444-244-4-422-222-2-24i−4i−4i4i4i−4i−4i4i000000000000-2-2000022−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000000000
χ1004-4-4-44-444-244-4-422-222-2-2−4i4i4i−4i−4i4i4i−4i000000000000-2-20000222i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000000000
χ1014-4-4-44-444-2-4-44422-222-2-20000000000004-4-440000220000-2-200000000-2-22222-2-200000000000000000000000000000000000000
χ1024-4-4-44-444-2-4-44422-222-2-2000000000000-444-40000220000-2-20000000022-2-2-2-22200000000000000000000000000000000000000

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