Finite Group Databasebeta

← Group #10945108

Character table — Group #10945108

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order122222223444444446666666444444444412121212121212124444444488881212121212121212121224242424242424242222444444444412121212888844
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
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111111111-1-1
χ9111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11-1-1-11111-1-1-11
χ10111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1111-1-1-1-1111-1
χ11111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-1111-1
χ12111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1111-1-111-1-1-11
χ13111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1111-1-111-1-11-1
χ14111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11-1-1-111-1-111-11
χ15111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1111-1-1-1-111-11
χ16111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111-1-1-11111-1-11-1
χ172222222222222-2-2-2-22222222-2-2000000002222-2-2-2-2222222220000-2-200000000000000000000-2-20000-2-2000000000000
χ182222222222222-2-2-2-22222222-2-2000000002222-2-2-2-2-2-2-2-2-2-2-2-20000-2-20000000000000000000022000022000000000000
χ19222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-22222-2-2-2-200002200000000000000000000-2-2000022000000000000
χ20222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-2-2-2-2-2222200002200000000000000000000220000-2-2000000000000
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
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1000000002222-1-111111111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000-2-2-2-2-1-1111111111111111100000000000022-1-1-1-1000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-22222-2-2-2-21111-1-1-1-10000000022-2-211-1-1-1-11111-1-1-1-111110000000000002-211-1-1000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-22222-2-2-2-21111-1-1-1-100000000-2-22211-1-1-1-111111111-1-1-1-1000000000000-22-1-111000000
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
χ2922-2-2-222-2200002-22-2-222-2-2-220000002i2i−2i−2i00002-22-22i2i−2i−2i000000000000002i2i−2i−2i0000000000002i−2i22-2-200000000000000
χ3022-2-2-222-2200002-22-2-222-2-2-220000002i2i−2i−2i00002-22-2−2i−2i2i2i000000000000002i2i−2i−2i000000000000−2i2i-2-22200000000000000
χ3122-2-2-222-2200002-22-2-222-2-2-22000000−2i−2i2i2i00002-22-22i2i−2i−2i00000000000000−2i−2i2i2i0000000000002i−2i-2-22200000000000000
χ3222-2-2-222-2200002-22-2-222-2-2-22000000−2i−2i2i2i00002-22-2−2i−2i2i2i00000000000000−2i−2i2i2i000000000000−2i2i22-2-200000000000000
χ3322-2-2-222-220000-22-22-222-2-2-22002i2i−2i−2i00000000-22-222i2i−2i−2i00000000002i2i−2i−2i00000000000022-2-2−2i2i000000000000000000
χ3422-2-2-222-220000-22-22-222-2-2-22002i2i−2i−2i00000000-22-22−2i−2i2i2i00000000002i2i−2i−2i000000000000-2-2222i−2i000000000000000000
χ3522-2-2-222-220000-22-22-222-2-2-2200−2i−2i2i2i00000000-22-222i2i−2i−2i0000000000−2i−2i2i2i000000000000-2-222−2i2i000000000000000000
χ3622-2-2-222-220000-22-22-222-2-2-2200−2i−2i2i2i00000000-22-22−2i−2i2i2i0000000000−2i−2i2i2i00000000000022-2-22i−2i000000000000000000
χ372-222-2-22-222i2i−2i−2i2-2-222-2-22-2-222i−2i000000002i2i−2i−2i2-2-220000000000002i−2i00000000000000002-22-2002i−2i2i−2i00000000000000
χ382-222-2-22-222i2i−2i−2i2-2-222-2-22-2-222i−2i000000002i2i−2i−2i2-2-220000000000002i−2i0000000000000000-22-2200−2i2i−2i2i00000000000000
χ392-222-2-22-222i2i−2i−2i-222-22-2-22-2-22−2i2i2-22-22i−2i2i−2i2i2i−2i−2i-222-2000000000000−2i2i2-22-22i−2i2i−2i00000000000000000000000000000000
χ402-222-2-22-222i2i−2i−2i-222-22-2-22-2-22−2i2i-22-22−2i2i−2i2i2i2i−2i−2i-222-2000000000000−2i2i-22-22−2i2i−2i2i00000000000000000000000000000000
χ412-222-2-22-22−2i−2i2i2i2-2-222-2-22-2-22−2i2i00000000−2i−2i2i2i2-2-22000000000000−2i2i00000000000000002-22-200−2i2i−2i2i00000000000000
χ422-222-2-22-22−2i−2i2i2i2-2-222-2-22-2-22−2i2i00000000−2i−2i2i2i2-2-22000000000000−2i2i0000000000000000-22-22002i−2i2i−2i00000000000000
χ432-222-2-22-22−2i−2i2i2i-222-22-2-22-2-222i−2i2-22-2−2i2i−2i2i−2i−2i2i2i-222-20000000000002i−2i2-22-2−2i2i−2i2i00000000000000000000000000000000
χ442-222-2-22-22−2i−2i2i2i-222-22-2-22-2-222i−2i-22-222i−2i2i−2i−2i−2i2i2i-222-20000000000002i−2i-22-222i−2i2i−2i00000000000000000000000000000000
χ452-222-2-22-2-12i2i−2i−2i-222-2-111-111-1−2i2i2-22-22i−2i2i−2i−i−iii1-1-11000000000000i−i-11-11−ii−ii−i3−i3i3i333−3−3000000000000003−3−i3i3000000
χ462-222-2-22-2-12i2i−2i−2i-222-2-111-111-1−2i2i2-22-22i−2i2i−2i−i−iii1-1-11000000000000i−i-11-11−ii−iii3i3−i3−i3−3−33300000000000000−33i3−i3000000
χ472-222-2-22-2-12i2i−2i−2i-222-2-111-111-1−2i2i-22-22−2i2i−2i2i−i−iii1-1-11000000000000i−i1-11-1i−ii−i−i3−i3i3i333−3−300000000000000−33i3−i3000000
χ482-222-2-22-2-12i2i−2i−2i-222-2-111-111-1−2i2i-22-22−2i2i−2i2i−i−iii1-1-11000000000000i−i1-11-1i−ii−ii3i3−i3−i3−3−333000000000000003−3−i3i3000000
χ492-222-2-22-2-1−2i−2i2i2i-222-2-111-111-12i−2i2-22-2−2i2i−2i2iii−i−i1-1-11000000000000−ii-11-11i−ii−i−i3−i3i3i3−3−33300000000000000−33−i3i3000000
χ502-222-2-22-2-1−2i−2i2i2i-222-2-111-111-12i−2i2-22-2−2i2i−2i2iii−i−i1-1-11000000000000−ii-11-11i−ii−ii3i3−i3−i333−3−3000000000000003−3i3−i3000000
χ512-222-2-22-2-1−2i−2i2i2i-222-2-111-111-12i−2i-22-222i−2i2i−2iii−i−i1-1-11000000000000−ii1-11-1−ii−ii−i3−i3i3i3−3−333000000000000003−3i3−i3000000
χ522-222-2-22-2-1−2i−2i2i2i-222-2-111-111-12i−2i-22-222i−2i2i−2iii−i−i1-1-11000000000000−ii1-11-1−ii−iii3i3−i3−i333−3−300000000000000−33−i3i3000000
χ532-2-2222-2-222-22-20000-22-222-2-200000000002-22-200002-22-222-2-2−i2i2−i2i20000000000−i2i2−i2i2−i2i2−i2i2000000000000000000−i2i2−i2i200
χ542-2-2222-2-222-22-20000-22-222-2-200000000002-22-200002-22-222-2-2i2−i2i2−i20000000000i2−i2i2−i2i2−i2i2−i2000000000000000000i2−i2i2−i200
χ552-2-2222-2-222-22-20000-22-222-2-200000000002-22-20000-22-22-2-222−i2i2−i2i20000000000−i2i2−i2i2−i2i2−i2i2000000000000000000i2−i2i2−i200
χ562-2-2222-2-222-22-20000-22-222-2-200000000002-22-20000-22-22-2-222i2−i2i2−i20000000000i2−i2i2−i2i2−i2i2−i2000000000000000000−i2i2−i2i200
χ572-2-2222-2-22-22-220000-22-222-2-20000000000-22-2200002-22-2-2-222−i2i2i2−i20000000000−i2i2−i2i2i2−i2i2−i2000000000000000000−i2i2i2−i200
χ582-2-2222-2-22-22-220000-22-222-2-20000000000-22-2200002-22-2-2-222i2−i2−i2i20000000000i2−i2i2−i2−i2i2−i2i2000000000000000000i2−i2−i2i200
χ592-2-2222-2-22-22-220000-22-222-2-20000000000-22-220000-22-2222-2-2−i2i2i2−i20000000000−i2i2−i2i2i2−i2i2−i2000000000000000000i2−i2−i2i200
χ602-2-2222-2-22-22-220000-22-222-2-20000000000-22-220000-22-2222-2-2i2−i2−i2i20000000000i2−i2i2−i2−i2i2−i2i2000000000000000000−i2i2i2−i200
χ612-2-2-22-2222000022-2-2-2-2-2-2222002i−2i−2i2i0000000022-2-200002-22-20000002i−2i−2i2i0000000000000000002i−2i−2i2i2-2000000000000
χ622-2-2-22-2222000022-2-2-2-2-2-2222002i−2i−2i2i0000000022-2-20000-22-220000002i−2i−2i2i000000000000000000−2i2i2i−2i-22000000000000
χ632-2-2-22-2222000022-2-2-2-2-2-222200−2i2i2i−2i0000000022-2-200002-22-2000000−2i2i2i−2i000000000000000000−2i2i2i−2i2-2000000000000
χ642-2-2-22-2222000022-2-2-2-2-2-222200−2i2i2i−2i0000000022-2-20000-22-22000000−2i2i2i−2i0000000000000000002i−2i−2i2i-22000000000000
χ652-2-2-22-22220000-2-222-2-2-2-22220000002-2-220000-2-22200002-22-200000000002-2-2200000000-222-2000000-22000000000000
χ662-2-2-22-22220000-2-222-2-2-2-22220000002-2-220000-2-2220000-22-2200000000002-2-22000000002-2-220000002-2000000000000
χ672-2-2-22-22220000-2-222-2-2-2-2222000000-222-20000-2-22200002-22-20000000000-222-2000000002-2-22000000-22000000000000
χ682-2-2-22-22220000-2-222-2-2-2-2222000000-222-20000-2-2220000-22-220000000000-222-200000000-222-20000002-2000000000000
χ6944444444-24444-4-4-4-4-2-2-2-2-2-2-2-4-400000000-2-2-2-22222000000000000220000000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2440000000022222222000000000000-2-20000000000000000000000000000000000000000
χ71444-44-4-4-44000000004-44-44-4-400000000000000000000004-4-440000000000000000000000000000000000000000000000
χ72444-44-4-4-44000000004-44-44-4-40000000000000000000000-444-40000000000000000000000000000000000000000000000
χ7344-44-4-4-4444i−4i−4i4i0000-4-444-44-400000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000
χ7444-44-4-4-444−4i4i4i−4i0000-4-444-44-40000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000
χ7544-44-4-4-44-24i−4i−4i4i000022-2-22-220000000000−2i2i2i−2i000000000000000000000000006−6−66i6−i6−i6i6000000000000000000000000
χ7644-44-4-4-44-24i−4i−4i4i000022-2-22-220000000000−2i2i2i−2i00000000000000000000000000−666−6−i6i6i6−i6000000000000000000000000
χ7744-44-4-4-44-2−4i4i4i−4i000022-2-22-2200000000002i−2i−2i2i000000000000000000000000006−6−66−i6i6i6−i6000000000000000000000000
χ7844-44-4-4-44-2−4i4i4i−4i000022-2-22-2200000000002i−2i−2i2i00000000000000000000000000−666−6i6−i6−i6i6000000000000000000000000
χ7944-4-4-444-4-200004-44-42-2-2222-20000004i4i−4i−4i0000-22-22000000000000000000−2i−2i2i2i00000000000000000000000000000000
χ8044-4-4-444-4-200004-44-42-2-2222-2000000−4i−4i4i4i0000-22-220000000000000000002i2i−2i−2i00000000000000000000000000000000
χ8144-4-4-444-4-20000-44-442-2-2222-2004i4i−4i−4i000000002-22-200000000000000−2i−2i2i2i000000000000000000000000000000000000
χ8244-4-4-444-4-20000-44-442-2-2222-200−4i−4i4i4i000000002-22-2000000000000002i2i−2i−2i000000000000000000000000000000000000
χ834-444-4-44-4-24i4i−4i−4i4-4-44-222-222-24i−4i00000000−2i−2i2i2i-222-2000000000000−2i2i0000000000000000000000000000000000000000
χ844-444-4-44-4-2−4i−4i4i4i4-4-44-222-222-2−4i4i000000002i2i−2i−2i-222-20000000000002i−2i0000000000000000000000000000000000000000
χ854-44-4-44-4440000000044-4-4-44-40000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000
χ864-44-4-44-4440000000044-4-4-44-4000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ874-4-4444-4-4-24-44-400002-22-2-2220000000000-22-22000000000000−2i22i2−2i22i20000000000i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ884-4-4444-4-4-24-44-400002-22-2-2220000000000-22-220000000000002i2−2i22i2−2i20000000000−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ894-4-4444-4-4-2-44-4400002-22-2-22200000000002-22-2000000000000−2i22i22i2−2i20000000000i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ904-4-4444-4-4-2-44-4400002-22-2-22200000000002-22-20000000000002i2−2i2−2i22i20000000000−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ914-4-4-44-444-2000044-4-42222-2-2-2004i−4i−4i4i00000000-2-22200000000000000−2i2i2i−2i000000000000000000000000000000000000
χ924-4-4-44-444-2000044-4-42222-2-2-200−4i4i4i−4i00000000-2-222000000000000002i−2i−2i2i000000000000000000000000000000000000
χ934-4-4-44-444-20000-4-4442222-2-2-20000004-4-44000022-2-2000000000000000000-222-200000000000000000000000000000000
χ944-4-4-44-444-20000-4-4442222-2-2-2000000-444-4000022-2-20000000000000000002-2-2200000000000000000000000000000000
χ95888-88-8-8-8-400000000-44-44-444000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-88-88-400000000-4-4444-44000000000000000000000000000000000000000000000000000000000000000000000000

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