Finite Group Databasebeta

← Group #10945110

Character table — Group #10945110

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
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1
χ911111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11-111-1-111-1-11-1
χ1011111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11-1-111-1-111-11
χ1111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-111-11
χ1211111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-1-11111-1-11-1
χ1311111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-1-11
χ1411111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111111-111-1-1-1-1111-1
χ1511111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-11-1-111-1-1111-1
χ1611111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-11-111-1-111-1-1-11
χ17222222222-2-22222-2-2222222200000000-2-22222-2-2-2-2222222220000-2-200000000000000000000-2-2-2-20000000000000000
χ18222222222-2-22222-2-2222222200000000-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000-2-20000000000000000000022220000000000000000
χ19222222222-2-2-2-2-2-2-2-222222220000000022-2-2-2-2-2-2-2-22222-2-2-2-200002200000000000000000000-2-2220000000000000000
χ20222222222-2-2-2-2-2-2-2-222222220000000022-2-2-2-2-2-2-2-2-2-2-2-222220000220000000000000000000022-2-20000000000000000
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
χ2322222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1000000002222-1-111111111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-100000000-2-2-2-2-1-1111111111111111100000000000022-1-1-1-1000000
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-12222-2-2-2-2-2-21111-1-1-1-10000000022-2-211-1-1-1-11111-1-1-1-111110000000000002-2-1-111000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-12222-2-2-2-2-2-21111-1-1-1-100000000-2-22211-1-1-1-111111111-1-1-1-1000000000000-2211-1-1000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-22222-2-21111-1-1-1-10000000022-2-2111111-1-1-1-1-1-1-1-11111000000000000-2211-1-1000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-22222-2-21111-1-1-1-100000000-2-222111111-1-1-1-11111-1-1-1-10000000000002-2-1-111000000
χ2922-222-2-2-222-200002-22-2-2-22-22000022-2-20000002-2-222i2i−2i−2i0000000000000022-2-20000000000002i−2i002i2i−2i−2i000000000000
χ3022-222-2-2-222-200002-22-2-2-22-22000022-2-20000002-2-22−2i−2i2i2i0000000000000022-2-2000000000000−2i2i00−2i−2i2i2i000000000000
χ3122-222-2-2-222-200002-22-2-2-22-220000-2-2220000002-2-222i2i−2i−2i00000000000000-2-2220000000000002i−2i00−2i−2i2i2i000000000000
χ3222-222-2-2-222-200002-22-2-2-22-220000-2-2220000002-2-22−2i−2i2i2i00000000000000-2-222000000000000−2i2i002i2i−2i−2i000000000000
χ3322-222-2-2-22-220000-222-2-2-22-222i2i−2i−2i0000000000-222-22i2i−2i−2i00000000002i2i−2i−2i00000000000022-2-2−2i2i000000000000000000
χ3422-222-2-2-22-220000-222-2-2-22-222i2i−2i−2i0000000000-222-2−2i−2i2i2i00000000002i2i−2i−2i000000000000-2-2222i−2i000000000000000000
χ3522-222-2-2-22-220000-222-2-2-22-22−2i−2i2i2i0000000000-222-22i2i−2i−2i0000000000−2i−2i2i2i000000000000-2-222−2i2i000000000000000000
χ3622-222-2-2-22-220000-222-2-2-22-22−2i−2i2i2i0000000000-222-2−2i−2i2i2i0000000000−2i−2i2i2i00000000000022-2-22i−2i000000000000000000
χ372-222-22-2-222-20000-22-22-2-2-22200002i−2i2i−2i00000022-2-200002i2i−2i−2i00000000002i−2i2i−2i000000002-22-2002i−2i0000000000000000
χ382-222-22-2-222-20000-22-22-2-2-22200002i−2i2i−2i00000022-2-20000−2i−2i2i2i00000000002i−2i2i−2i00000000-22-2200−2i2i0000000000000000
χ392-222-22-2-222-20000-22-22-2-2-2220000−2i2i−2i2i00000022-2-200002i2i−2i−2i0000000000−2i2i−2i2i00000000-22-22002i−2i0000000000000000
χ402-222-22-2-222-20000-22-22-2-2-2220000−2i2i−2i2i00000022-2-20000−2i−2i2i2i0000000000−2i2i−2i2i000000002-22-200−2i2i0000000000000000
χ412-222-22-2-22-2200002-2-22-2-2-2222-22-20000000000-2-22200002i2i−2i−2i0000002-22-2000000000000000000−2i2i2i−2i2i−2i000000000000
χ422-222-22-2-22-2200002-2-22-2-2-2222-22-20000000000-2-2220000−2i−2i2i2i0000002-22-20000000000000000002i−2i−2i2i−2i2i000000000000
χ432-222-22-2-22-2200002-2-22-2-2-222-22-220000000000-2-22200002i2i−2i−2i000000-22-22000000000000000000−2i2i−2i2i−2i2i000000000000
χ442-222-22-2-22-2200002-2-22-2-2-222-22-220000000000-2-2220000−2i−2i2i2i000000-22-220000000000000000002i−2i2i−2i2i−2i000000000000
χ452-2-22-2-22222222-2-2-2-2-2-222-2-222i−2i−2i2i2i−2i−2i2i2-222-2-22-22-20000000000002-22i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ462-2-22-2-22222222-2-2-2-2-2-222-2-22−2i2i2i−2i−2i2i2i−2i2-222-2-22-22-20000000000002-2−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ472-2-22-2-222222-2-222-2-2-2-222-2-222i−2i−2i2i−2i2i2i−2i-22-2-2222-22-2000000000000-222i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ482-2-22-2-222222-2-222-2-2-2-222-2-22−2i2i2i−2i2i−2i−2i2i-22-2-2222-22-2000000000000-22−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ492-2-22-2-2222-2-222-2-222-2-222-2-2200000000-2222-2-2-22-22000000000000-2200000000000000002-2-220000-222-2000000000000
χ502-2-22-2-2222-2-222-2-222-2-222-2-2200000000-2222-2-2-22-22000000000000-220000000000000000-222-200002-2-22000000000000
χ512-2-22-2-2222-2-2-2-22222-2-222-2-22000000002-2-2-222-22-220000000000002-200000000000000002-2-2200002-2-22000000000000
χ522-2-22-2-2222-2-2-2-22222-2-222-2-22000000002-2-2-222-22-220000000000002-20000000000000000-222-20000-222-2000000000000
χ532-2-22-2-222-12222-2-2-2-211-1-111-12i−2i−2i2i2i−2i−2i2i2-2-1-111-11-11000000000000-11−iii−i−iii−i33−3−333−3−300000000000000−i3i3−i3i3000000
χ542-2-22-2-222-12222-2-2-2-211-1-111-12i−2i−2i2i2i−2i−2i2i2-2-1-111-11-11000000000000-11−iii−i−iii−i−3−333−3−33300000000000000i3−i3i3−i3000000
χ552-2-22-2-222-12222-2-2-2-211-1-111-1−2i2i2i−2i−2i2i2i−2i2-2-1-111-11-11000000000000-11i−i−iii−i−ii33−3−333−3−300000000000000i3−i3i3−i3000000
χ562-2-22-2-222-12222-2-2-2-211-1-111-1−2i2i2i−2i−2i2i2i−2i2-2-1-111-11-11000000000000-11i−i−iii−i−ii−3−333−3−33300000000000000−i3i3−i3i3000000
χ572-2-22-2-222-122-2-222-2-211-1-111-12i−2i−2i2i−2i2i2i−2i-2211-1-1-11-110000000000001-1−iii−ii−i−ii33−3−3−3−33300000000000000−i3i3i3−i3000000
χ582-2-22-2-222-122-2-222-2-211-1-111-12i−2i−2i2i−2i2i2i−2i-2211-1-1-11-110000000000001-1−iii−ii−i−ii−3−33333−3−300000000000000i3−i3−i3i3000000
χ592-2-22-2-222-122-2-222-2-211-1-111-1−2i2i2i−2i2i−2i−2i2i-2211-1-1-11-110000000000001-1i−i−ii−iii−i33−3−3−3−33300000000000000i3−i3−i3i3000000
χ602-2-22-2-222-122-2-222-2-211-1-111-1−2i2i2i−2i2i−2i−2i2i-2211-1-1-11-110000000000001-1i−i−ii−iii−i−3−33333−3−300000000000000−i3i3i3−i3000000
χ612-2-2-2222-22002-22-200-2-22-222-200000000002-22-200002-22-22-22-2−i2i2−i2i20000000000−i2i2−i2i2−i2i2−i2i2000000000000000000−i2i2−i2i200
χ622-2-2-2222-22002-22-200-2-22-222-200000000002-22-200002-22-22-22-2i2−i2i2−i20000000000i2−i2i2−i2i2−i2i2−i2000000000000000000i2−i2i2−i200
χ632-2-2-2222-22002-22-200-2-22-222-200000000002-22-20000-22-22-22-22−i2i2−i2i20000000000−i2i2−i2i2−i2i2−i2i2000000000000000000i2−i2i2−i200
χ642-2-2-2222-22002-22-200-2-22-222-200000000002-22-20000-22-22-22-22i2−i2i2−i20000000000i2−i2i2−i2i2−i2i2−i2000000000000000000−i2i2−i2i200
χ652-2-2-2222-2200-22-2200-2-22-222-20000000000-22-2200002-22-2-22-22−i2i2i2−i20000000000−i2i2−i2i2i2−i2i2−i2000000000000000000−i2i2i2−i200
χ662-2-2-2222-2200-22-2200-2-22-222-20000000000-22-2200002-22-2-22-22i2−i2−i2i20000000000i2−i2i2−i2−i2i2−i2i2000000000000000000i2−i2−i2i200
χ672-2-2-2222-2200-22-2200-2-22-222-20000000000-22-220000-22-222-22-2−i2i2i2−i20000000000−i2i2−i2i2i2−i2i2−i2000000000000000000i2−i2−i2i200
χ682-2-2-2222-2200-22-2200-2-22-222-20000000000-22-220000-22-222-22-2i2−i2−i2i20000000000i2−i2i2−i2−i2i2−i2i2000000000000000000−i2i2i2−i200
χ6944444444-2-4-44444-4-4-2-2-2-2-2-2-200000000-4-4-2-2-2-22222000000000000220000000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2000000004422222222000000000000-2-20000000000000000000000000000000000000000
χ71444-4-4-44-44004-4-4400444-4-4-4-400000000004-4-440000000000000000000000000000000000000000000000000000000000
χ72444-4-4-44-4400-444-400444-4-4-4-40000000000-444-40000000000000000000000000000000000000000000000000000000000
χ73444-4-4-44-4-2004-4-4400-2-2-222220000000000-222-200000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000
χ74444-4-4-44-4-2004-4-4400-2-2-222220000000000-222-200000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000
χ75444-4-4-44-4-200-444-400-2-2-2222200000000002-2-2200000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ76444-4-4-44-4-200-444-400-2-2-2222200000000002-2-2200000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
χ7744-444-4-4-4-24-400004-4-2222-22-2000044-4-4000000-222-2000000000000000000-2-22200000000000000000000000000000000
χ7844-444-4-4-4-24-400004-4-2222-22-20000-4-444000000-222-200000000000000000022-2-200000000000000000000000000000000
χ7944-444-4-4-4-2-440000-44-2222-22-24i4i−4i−4i00000000002-2-2200000000000000−2i−2i2i2i000000000000000000000000000000000000
χ8044-444-4-4-4-2-440000-44-2222-22-2−4i−4i4i4i00000000002-2-22000000000000002i2i−2i−2i000000000000000000000000000000000000
χ8144-4-4-44-444000000004-4-44-44-400000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ8244-4-4-44-444000000004-4-44-44-40000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ834-444-44-4-4-24-40000-442-2222-2-200004i−4i4i−4i000000-2-222000000000000000000−2i2i−2i2i00000000000000000000000000000000
χ844-444-44-4-4-24-40000-442-2222-2-20000−4i4i−4i4i000000-2-2220000000000000000002i−2i2i−2i00000000000000000000000000000000
χ854-444-44-4-4-2-4400004-42-2222-2-24-44-4000000000022-2-200000000000000-22-22000000000000000000000000000000000000
χ864-444-44-4-4-2-4400004-42-2222-2-2-44-44000000000022-2-2000000000000002-22-2000000000000000000000000000000000000
χ874-44-44-4-44400000000-44-444-4-40000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000
χ884-44-44-4-44400000000-44-444-4-4000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ894-4-44-4-444-2-4-444-4-44422-2-222-200000000-44-2-2222-22-20000000000002-20000000000000000000000000000000000000000
χ904-4-44-4-444-2-4-4-4-4444422-2-222-2000000004-422-2-22-22-2000000000000-220000000000000000000000000000000000000000
χ914-4-4-4444-4-2004-44-40022-22-2-220000000000-22-22000000000000−2i22i2−2i22i20000000000i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ924-4-4-4444-4-2004-44-40022-22-2-220000000000-22-220000000000002i2−2i22i2−2i20000000000−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ934-4-4-4444-4-200-44-440022-22-2-2200000000002-22-2000000000000−2i22i22i2−2i20000000000i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ944-4-4-4444-4-200-44-440022-22-2-2200000000002-22-20000000000002i2−2i2−2i22i20000000000−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ9588-8-8-88-88-400000000-444-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-88-8-88-4000000004-44-4-444000000000000000000000000000000000000000000000000000000000000000000000000

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