Finite Group Databasebeta

← Group #10945149

Character table — Group #10945149

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order122222223444444446666666444444444412121212121212124444444488881212121212121212121224242424242424244444444444444412121212888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ7111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ9111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111-1-1-11111-1-11-1
χ10111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1111-1-1-1-111-11
χ11111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11-1-1-111-1-111-11
χ12111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1111-1-111-1-11-1
χ13111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1111-1-111-1-1-11
χ14111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11-1-1-111-1-1111-1
χ15111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1111-1-1-1-1111-1
χ16111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111-1-1-11111-1-1-11
χ172222222222222-2-2-2-222222220000-2-200002222-2-2-2-2222222220000-2-20000000000000000-2-2-2-200000000000000000000
χ182222222222222-2-2-2-222222220000-2-200002222-2-2-2-2-2-2-2-2-2-2-2-20000-2-20000000000000000222200000000000000000000
χ19222222222-2-2-2-2-2-2-2-222222220000220000-2-2-2-2-2-2-2-22222-2-2-2-20000220000000000000000-2-22200000000000000000000
χ20222222222-2-2-2-2-2-2-2-222222220000220000-2-2-2-2-2-2-2-2-2-2-2-22222000022000000000000000022-2-200000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000000
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111000000000000-2-21111000000
χ2322222222-122222222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1000000002222-1-111111111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-100000000-2-2-2-2-1-1111111111111111100000000000022-1-1-1-1000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-12222-2-2-2-2-2-21111-1-1-1-10000000022-2-211-1-1-1-11111-1-1-1-111110000000000002-211-1-1000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-12222-2-2-2-2-2-21111-1-1-1-100000000-2-22211-1-1-1-111111111-1-1-1-1000000000000-22-1-111000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-222221111-1-1-1-10000000022-2-2111111-1-1-1-1-1-1-1-11111000000000000-22-1-111000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-222221111-1-1-1-100000000-2-222111111-1-1-1-11111-1-1-1-10000000000002-211-1-1000000
χ2922-2-22-22-2200002-22-2-2-222-22-20000002i2i−2i−2i00002-22-22i2i−2i−2i000000000000002i2i−2i−2i000000002i−2i0022-2-20000000000000000
χ3022-2-22-22-2200002-22-2-2-222-22-20000002i2i−2i−2i00002-22-2−2i−2i2i2i000000000000002i2i−2i−2i00000000−2i2i00-2-2220000000000000000
χ3122-2-22-22-2200002-22-2-2-222-22-2000000−2i−2i2i2i00002-22-22i2i−2i−2i00000000000000−2i−2i2i2i000000002i−2i00-2-2220000000000000000
χ3222-2-22-22-2200002-22-2-2-222-22-2000000−2i−2i2i2i00002-22-2−2i−2i2i2i00000000000000−2i−2i2i2i00000000−2i2i0022-2-20000000000000000
χ3322-2-22-22-220000-22-22-2-222-22-22i2i−2i−2i0000000000-22-222i2i−2i−2i00000000002i2i−2i−2i000000000000−2i2i00000022-2-2000000000000
χ3422-2-22-22-220000-22-22-2-222-22-22i2i−2i−2i0000000000-22-22−2i−2i2i2i00000000002i2i−2i−2i0000000000002i−2i000000-2-222000000000000
χ3522-2-22-22-220000-22-22-2-222-22-2−2i−2i2i2i0000000000-22-222i2i−2i−2i0000000000−2i−2i2i2i000000000000−2i2i000000-2-222000000000000
χ3622-2-22-22-220000-22-22-2-222-22-2−2i−2i2i2i0000000000-22-22−2i−2i2i2i0000000000−2i−2i2i2i0000000000002i−2i00000022-2-2000000000000
χ372-222-2-22-222i2i−2i−2i2-2-222-2-2-222-200002i−2i00002i2i−2i−2i2-2-220000000000002i−2i000000000000000000002i−2i2i−2i2-22-2000000000000
χ382-222-2-22-222i2i−2i−2i2-2-222-2-2-222-200002i−2i00002i2i−2i−2i2-2-220000000000002i−2i00000000000000000000−2i2i−2i2i-22-22000000000000
χ392-222-2-22-222i2i−2i−2i-222-22-2-2-222-22-22-2−2i2i2i−2i2i−2i2i2i−2i−2i-222-2000000000000−2i2i2-22-22i−2i2i−2i00000000000000000000000000000000
χ402-222-2-22-222i2i−2i−2i-222-22-2-2-222-2-22-22−2i2i−2i2i−2i2i2i2i−2i−2i-222-2000000000000−2i2i-22-22−2i2i−2i2i00000000000000000000000000000000
χ412-222-2-22-22−2i−2i2i2i2-2-222-2-2-222-20000−2i2i0000−2i−2i2i2i2-2-22000000000000−2i2i000000000000000000002i−2i2i−2i-22-22000000000000
χ422-222-2-22-22−2i−2i2i2i2-2-222-2-2-222-20000−2i2i0000−2i−2i2i2i2-2-22000000000000−2i2i00000000000000000000−2i2i−2i2i2-22-2000000000000
χ432-222-2-22-22−2i−2i2i2i-222-22-2-2-222-22-22-22i−2i−2i2i−2i2i−2i−2i2i2i-222-20000000000002i−2i2-22-2−2i2i−2i2i00000000000000000000000000000000
χ442-222-2-22-22−2i−2i2i2i-222-22-2-2-222-2-22-222i−2i2i−2i2i−2i−2i−2i2i2i-222-20000000000002i−2i-22-222i−2i2i−2i00000000000000000000000000000000
χ452-222-2-22-2-12i2i−2i−2i-222-2-1111-1-112-22-2−2i2i2i−2i2i−2i−i−iii1-1-11000000000000i−i-11-11−ii−ii33−3−3−i3−i3i3i300000000000000−i3i33−3000000
χ462-222-2-22-2-12i2i−2i−2i-222-2-1111-1-112-22-2−2i2i2i−2i2i−2i−i−iii1-1-11000000000000i−i-11-11−ii−ii−3−333i3i3−i3−i300000000000000i3−i3−33000000
χ472-222-2-22-2-12i2i−2i−2i-222-2-1111-1-11-22-22−2i2i−2i2i−2i2i−i−iii1-1-11000000000000i−i1-11-1i−ii−i33−3−3−i3−i3i3i300000000000000i3−i3−33000000
χ482-222-2-22-2-12i2i−2i−2i-222-2-1111-1-11-22-22−2i2i−2i2i−2i2i−i−iii1-1-11000000000000i−i1-11-1i−ii−i−3−333i3i3−i3−i300000000000000−i3i33−3000000
χ492-222-2-22-2-1−2i−2i2i2i-222-2-1111-1-112-22-22i−2i−2i2i−2i2iii−i−i1-1-11000000000000−ii-11-11i−ii−i33−3−3i3i3−i3−i300000000000000i3−i33−3000000
χ502-222-2-22-2-1−2i−2i2i2i-222-2-1111-1-112-22-22i−2i−2i2i−2i2iii−i−i1-1-11000000000000−ii-11-11i−ii−i−3−333−i3−i3i3i300000000000000−i3i3−33000000
χ512-222-2-22-2-1−2i−2i2i2i-222-2-1111-1-11-22-222i−2i2i−2i2i−2iii−i−i1-1-11000000000000−ii1-11-1−ii−ii33−3−3i3i3−i3−i300000000000000−i3i3−33000000
χ522-222-2-22-2-1−2i−2i2i2i-222-2-1111-1-11-22-222i−2i2i−2i2i−2iii−i−i1-1-11000000000000−ii1-11-1−ii−ii−3−333−i3−i3i3i300000000000000i3−i33−3000000
χ532-22-222-2-222i−2i2i−2i00002-22-2-2-2200000000002i−2i2i−2i00002-22-22i2i−2i−2i−i2i22−20000000000−i2i2−i2i22−22−2000000000000000000−i2i22−200
χ542-22-222-2-222i−2i2i−2i00002-22-2-2-2200000000002i−2i2i−2i00002-22-22i2i−2i−2ii2−i2−220000000000i2−i2i2−i2−22−22000000000000000000i2−i2−2200
χ552-22-222-2-222i−2i2i−2i00002-22-2-2-2200000000002i−2i2i−2i0000-22-22−2i−2i2i2i−i2i22−20000000000−i2i2−i2i22−22−2000000000000000000i2−i2−2200
χ562-22-222-2-222i−2i2i−2i00002-22-2-2-2200000000002i−2i2i−2i0000-22-22−2i−2i2i2ii2−i2−220000000000i2−i2i2−i2−22−22000000000000000000−i2i22−200
χ572-22-222-2-22−2i2i−2i2i00002-22-2-2-220000000000−2i2i−2i2i00002-22-2−2i−2i2i2i−i2i2−220000000000−i2i2−i2i2−22−22000000000000000000−i2i2−2200
χ582-22-222-2-22−2i2i−2i2i00002-22-2-2-220000000000−2i2i−2i2i00002-22-2−2i−2i2i2ii2−i22−20000000000i2−i2i2−i22−22−2000000000000000000i2−i22−200
χ592-22-222-2-22−2i2i−2i2i00002-22-2-2-220000000000−2i2i−2i2i0000-22-222i2i−2i−2i−i2i2−220000000000−i2i2−i2i2−22−22000000000000000000i2−i22−200
χ602-22-222-2-22−2i2i−2i2i00002-22-2-2-220000000000−2i2i−2i2i0000-22-222i2i−2i−2ii2−i22−20000000000i2−i2i2−i22−22−2000000000000000000−i2i2−2200
χ612-2-2-2-22222000022-2-2-22-2-2-2222i−2i−2i2i000000000022-2-200002-22-20000002i−2i−2i2i000000000000002-22i−2i−2i2i0000000000000000
χ622-2-2-2-22222000022-2-2-22-2-2-2222i−2i−2i2i000000000022-2-20000-22-220000002i−2i−2i2i00000000000000-22−2i2i2i−2i0000000000000000
χ632-2-2-2-22222000022-2-2-22-2-2-222−2i2i2i−2i000000000022-2-200002-22-2000000−2i2i2i−2i000000000000002-2−2i2i2i−2i0000000000000000
χ642-2-2-2-22222000022-2-2-22-2-2-222−2i2i2i−2i000000000022-2-20000-22-22000000−2i2i2i−2i00000000000000-222i−2i−2i2i0000000000000000
χ652-2-2-2-222220000-2-222-22-2-2-2220000002-2-220000-2-22200002-22-200000000002-2-220000000000-220000-222-2000000000000
χ662-2-2-2-222220000-2-222-22-2-2-2220000002-2-220000-2-2220000-22-2200000000002-2-2200000000002-200002-2-22000000000000
χ672-2-2-2-222220000-2-222-22-2-2-222000000-222-20000-2-22200002-22-20000000000-222-20000000000-2200002-2-22000000000000
χ682-2-2-2-222220000-2-222-22-2-2-222000000-222-20000-2-2220000-22-220000000000-222-200000000002-20000-222-2000000000000
χ6944444444-24444-4-4-4-4-2-2-2-2-2-2-20000-4-40000-2-2-2-22222000000000000220000000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2000044000022222222000000000000-2-20000000000000000000000000000000000000000
χ71444-4-4-4-4444-4-44000044-44-4-4-400000000004-4-440000000000000000000000000000000000000000000000000000000000
χ72444-4-4-4-444-444-4000044-44-4-4-40000000000-444-40000000000000000000000000000000000000000000000000000000000
χ73444-4-4-4-44-24-4-440000-2-22-22220000000000-222-200000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ74444-4-4-4-44-24-4-440000-2-22-22220000000000-222-200000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
χ75444-4-4-4-44-2-444-40000-2-22-222200000000002-2-2200000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000
χ76444-4-4-4-44-2-444-40000-2-22-222200000000002-2-2200000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000
χ7744-44-44-4-4400000000-4-4-444-4400000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ7844-44-44-4-4400000000-4-4-444-440000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ7944-4-44-44-4-200004-44-422-2-22-220000004i4i−4i−4i0000-22-22000000000000000000−2i−2i2i2i00000000000000000000000000000000
χ8044-4-44-44-4-200004-44-422-2-22-22000000−4i−4i4i4i0000-22-220000000000000000002i2i−2i−2i00000000000000000000000000000000
χ8144-4-44-44-4-20000-44-4422-2-22-224i4i−4i−4i00000000002-22-200000000000000−2i−2i2i2i000000000000000000000000000000000000
χ8244-4-44-44-4-20000-44-4422-2-22-22−4i−4i4i4i00000000002-22-2000000000000002i2i−2i−2i000000000000000000000000000000000000
χ834-444-4-44-4-24i4i−4i−4i4-4-44-2222-2-2200004i−4i0000−2i−2i2i2i-222-2000000000000−2i2i0000000000000000000000000000000000000000
χ844-444-4-44-4-2−4i−4i4i4i4-4-44-2222-2-220000−4i4i00002i2i−2i−2i-222-20000000000002i−2i0000000000000000000000000000000000000000
χ854-44-444-4-4-24i−4i4i−4i0000-22-2222-20000000000−2i2i−2i2i000000000000−2i22i222−220000000000i2−i2i2−i2−22−22000000000000000000000000
χ864-44-444-4-4-24i−4i4i−4i0000-22-2222-20000000000−2i2i−2i2i0000000000002i2−2i2−22220000000000−i2i2−i2i22−22−2000000000000000000000000
χ874-44-444-4-4-2−4i4i−4i4i0000-22-2222-200000000002i−2i2i−2i000000000000−2i22i2−22220000000000i2−i2i2−i22−22−2000000000000000000000000
χ884-44-444-4-4-2−4i4i−4i4i0000-22-2222-200000000002i−2i2i−2i0000000000002i2−2i222−220000000000−i2i2−i2i2−22−22000000000000000000000000
χ894-4-444-4-44400000000-444-44-4-40000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000
χ904-4-444-4-44400000000-444-44-4-4000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ914-4-4-4-4444-2000044-4-42-2222-2-24i−4i−4i4i0000000000-2-22200000000000000−2i2i2i−2i000000000000000000000000000000000000
χ924-4-4-4-4444-2000044-4-42-2222-2-2−4i4i4i−4i0000000000-2-222000000000000002i−2i−2i2i000000000000000000000000000000000000
χ934-4-4-4-4444-20000-4-4442-2222-2-20000004-4-44000022-2-2000000000000000000-222-200000000000000000000000000000000
χ944-4-4-4-4444-20000-4-4442-2222-2-2000000-444-4000022-2-20000000000000000002-2-2200000000000000000000000000000000
χ9588-88-88-8-8-400000000444-4-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-888-8-88-4000000004-4-44-444000000000000000000000000000000000000000000000000000000000000000000000000

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