Finite Group Databasebeta

← Group #10944151

Character table — Group #10944151

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222244444444444444444444888888888888888888888812121212121212121212121212121212161616161616242424244848
order12222222344446666666222244444444121212121212121266668888121212121212242424242424242422444444444444444412121212888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111-111-1-111-1-11-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11-111-1-1-1-111-11
χ7111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-11-1-111-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-11-1-11111-1-11-1
χ911111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1
χ1011111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111
χ1111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-11-1-11111-1-1-11
χ1411111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-11-1-111-1-1111-1
χ1511111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-11-111-1-1-1-1111-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111-111-1-111-1-1-11
χ17222222222-2-2-2-22222222000022-2-20000-2-2-2-2-2-2-2-2000000002200000000000022-2-2220000-2-20000000000000000
χ18222222222-2-2-2-22222222000022-2-20000-2-2-2-2-2-2-2-20000000022000000000000-2-222-2-20000220000000000000000
χ19222222222-2-2-2-222222220000-2-2220000-2-2-22222-200000000-2-20000000000002222-2-20000-2-20000000000000000
χ20222222222-2-2-2-222222220000-2-2220000-2-2-22222-200000000-2-2000000000000-2-2-2-2220000220000000000000000
χ2122222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-1-1-1000000
χ2222222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1111111110000000000000000-2-21111000000
χ2322222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-11111-1-1-1-1-122-2-2111111-1-1-1-1111100000000000000002-2-1-111000000
χ2422222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-2-2221111111111-1-1-1-10000000000000000-2211-1-1000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-111112222-1-11111-1-1-1-1-1-1-1-10000000000000000-2-21111000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-11111-2-2-2-2-1-1111111111111000000000000000022-1-1-1-1000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-11111-1111122-2-211-1-1-1-1-1-1-1-111110000000000000000-2211-1-1000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-11111-11111-2-22211-1-1-1-11111-1-1-1-100000000000000002-2-1-111000000
χ29222-2-2-2-2222-22-222-22-2-2-2000000002i2i−2i−2i2-2-20000200000000002i2i−2i−2i00000000002i−2i2i−2i00000022-2-2000000000000
χ30222-2-2-2-2222-22-222-22-2-2-2000000002i2i−2i−2i2-2-20000200000000002i2i−2i−2i0000000000−2i2i−2i2i000000-2-222000000000000
χ31222-2-2-2-2222-22-222-22-2-2-200000000−2i−2i2i2i2-2-2000020000000000−2i−2i2i2i00000000002i−2i2i−2i000000-2-222000000000000
χ32222-2-2-2-2222-22-222-22-2-2-200000000−2i−2i2i2i2-2-2000020000000000−2i−2i2i2i0000000000−2i2i−2i2i00000022-2-2000000000000
χ33222-2-2-2-222-22-2222-22-2-2-222-2-200000000-2220000-222-2-2000000000000000000002i−2i−2i2i2i2i−2i−2i000000000000000000
χ34222-2-2-2-222-22-2222-22-2-2-222-2-200000000-2220000-222-2-200000000000000000000−2i2i2i−2i−2i−2i2i2i000000000000000000
χ35222-2-2-2-222-22-2222-22-2-2-2-2-22200000000-2220000-2-2-222000000000000000000002i−2i−2i2i−2i−2i2i2i000000000000000000
χ36222-2-2-2-222-22-2222-22-2-2-2-2-22200000000-2220000-2-2-22200000000000000000000−2i2i2i−2i2i2i−2i−2i000000000000000000
χ372-2-222-2-22222-2-2-2-222-2-22000000002i−2i2i−2i22-20000-200000000002i−2i2i−2i000000002-200002i−2i2i−2i2-20000000000000000
χ382-2-222-2-22222-2-2-2-222-2-22000000002i−2i2i−2i22-20000-200000000002i−2i2i−2i00000000-220000−2i2i−2i2i-220000000000000000
χ392-2-222-2-22222-2-2-2-222-2-2200000000−2i2i−2i2i22-20000-20000000000−2i2i−2i2i000000002-20000−2i2i−2i2i2-20000000000000000
χ402-2-222-2-22222-2-2-2-222-2-2200000000−2i2i−2i2i22-20000-20000000000−2i2i−2i2i00000000-2200002i−2i2i−2i-220000000000000000
χ412-2-222-2-222-2-222-2-222-2-222-22-200000000-2-22000022-22-20000000000000000002-200000000-222-22-2000000000000
χ422-2-222-2-222-2-222-2-222-2-222-22-200000000-2-22000022-22-2000000000000000000-22000000002-2-22-22000000000000
χ432-2-222-2-222-2-222-2-222-2-22-22-2200000000-2-2200002-22-220000000000000000002-200000000-22-22-22000000000000
χ442-2-222-2-222-2-222-2-222-2-22-22-2200000000-2-2200002-22-22000000000000000000-22000000002-22-22-2000000000000
χ452-2-2-2-222222-2-22-2-2-2222-22-2-222-22-22-2-222-2222-2-2-22-2-2200002-22-2-22000000000000000000000000000000000000
χ462-2-2-2-222222-2-22-2-2-2222-22-2-22-22-22-222-22-22-2-222-22-2-220000-22-222-2000000000000000000000000000000000000
χ472-2-2-2-222222-2-22-2-2-2222-2-222-22-22-2-222-22-2222-2-2-2-222-200002-2-222-2000000000000000000000000000000000000
χ482-2-2-2-222222-2-22-2-2-2222-2-222-2-22-222-2-222-22-2-222-2-222-20000-222-2-22000000000000000000000000000000000000
χ492-2-2-2-22222-222-2-2-2-2222-200002-2-220000-22-2-2-2222000000002-20000000000000000002-2-2200-222-2000000000000
χ502-2-2-2-22222-222-2-2-2-2222-200002-2-220000-22-2-2-2222000000002-2000000000000000000-222-2002-2-22000000000000
χ512-2-2-2-22222-222-2-2-2-2222-20000-222-20000-22-222-2-2200000000-220000000000000000002-2-22002-2-22000000000000
χ522-2-2-2-22222-222-2-2-2-2222-20000-222-20000-22-222-2-2200000000-22000000000000000000-222-200-222-2000000000000
χ532-2-2-2-2222-12-2-22111-1-1-112-2-222-22-22-2-22-11-1-1-1111-111-10000-11-111-133−3−333−3−30000000000000000003−33−3000000
χ542-2-2-2-2222-12-2-22111-1-1-112-2-222-22-22-2-22-11-1-1-1111-111-10000-11-111-1−3−333−3−333000000000000000000−33−33000000
χ552-2-2-2-2222-12-2-22111-1-1-112-2-22-22-22-222-2-11-111-1-11-111-100001-11-1-1133−3−3−3−3330000000000000000003−3−33000000
χ562-2-2-2-2222-12-2-22111-1-1-112-2-22-22-22-222-2-11-111-1-11-111-100001-11-1-11−3−33333−3−3000000000000000000−333−3000000
χ572-2-2-2-2222-12-2-22111-1-1-11-222-22-22-2-222-2-11-1-1-11111-1-110000-111-1-1133−3−333−3−3000000000000000000−33−33000000
χ582-2-2-2-2222-12-2-22111-1-1-11-222-22-22-2-222-2-11-1-1-11111-1-110000-111-1-11−3−333−3−3330000000000000000003−33−3000000
χ592-2-2-2-2222-12-2-22111-1-1-11-222-2-22-222-2-22-11-111-1-111-1-1100001-1-111-133−3−3−3−333000000000000000000−333−3000000
χ602-2-2-2-2222-12-2-22111-1-1-11-222-2-22-222-2-22-11-111-1-111-1-1100001-1-111-1−3−33333−3−30000000000000000003−3−33000000
χ6144444444-2-4-4-4-4-2-2-2-2-2-2-2000044-4-400002222222200000000-2-20000000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-2-2-2-2-2-2-20000-4-4440000222-2-2-2-2200000000220000000000000000000000000000000000000000
χ63444-4-4-4-44-24-44-4-2-22-2222000000004i4i−4i−4i-2220000-20000000000−2i−2i2i2i000000000000000000000000000000000000
χ64444-4-4-4-44-24-44-4-2-22-222200000000−4i−4i4i4i-2220000-200000000002i2i−2i−2i000000000000000000000000000000000000
χ65444-4-4-4-44-2-44-44-2-22-222244-4-4000000002-2-200002-2-2220000000000000000000000000000000000000000000000
χ66444-4-4-4-44-2-44-44-2-22-2222-4-444000000002-2-20000222-2-20000000000000000000000000000000000000000000000
χ6744-44-44-4-4400004-44-44-4-4000000000000000000000000000000000000000000000000000000000000000022−220000
χ6844-44-44-4-4400004-44-44-4-40000000000000000000000000000000000000000000000000000000000000000−22220000
χ6944-4-44-44-4400004-4-4-4-4440000000000000000000000000022−22000000000022−2222−220000000000000000000000000000
χ7044-4-44-44-4400004-4-4-4-44400000000000000000000000000−22220000000000−2222−22220000000000000000000000000000
χ7144-4-44-44-4-20000-22222-2-2000000000000000−2i32i3−2i32i3000000022−22000000i6−i6i6−i6−22−220000000000000000000000000000
χ7244-4-44-44-4-20000-22222-2-2000000000000000−2i32i3−2i32i30000000−2222000000−i6i6−i6i62−22−20000000000000000000000000000
χ7344-4-44-44-4-20000-22222-2-20000000000000002i3−2i32i3−2i3000000022−22000000−i6i6−i6i6−22−220000000000000000000000000000
χ7444-4-44-44-4-20000-22222-2-20000000000000002i3−2i32i3−2i30000000−2222000000i6−i6i6−i62−22−20000000000000000000000000000
χ754-444-4-44-440000-444-4-44-4000000000000000000000000−2i22i200000000−2i22i22i2−2i200000000000000000000000000000000
χ764-444-4-44-440000-444-4-44-40000000000000000000000002i2−2i2000000002i2−2i2−2i22i200000000000000000000000000000000
χ774-444-4-44-4-200002-2-222-22000000000000000−2i32i32i3−2i300000−2i22i200000000i2−i2−i2i26−6−660000000000000000000000000000
χ784-444-4-44-4-200002-2-222-22000000000000000−2i32i32i3−2i3000002i2−2i200000000−i2i2i2−i2−666−60000000000000000000000000000
χ794-444-4-44-4-200002-2-222-220000000000000002i3−2i3−2i32i300000−2i22i200000000i2−i2−i2i2−666−60000000000000000000000000000
χ804-444-4-44-4-200002-2-222-220000000000000002i3−2i3−2i32i3000002i2−2i200000000−i2i2i2−i26−6−660000000000000000000000000000
χ814-44-444-4-440000-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ824-44-444-4-440000-44-4-44-440000000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ834-4-444-4-44-244-4-422-2-222-2000000004i−4i4i−4i-2-22000020000000000−2i2i−2i2i000000000000000000000000000000000000
χ844-4-444-4-44-244-4-422-2-222-200000000−4i4i−4i4i-2-220000200000000002i−2i2i−2i000000000000000000000000000000000000
χ854-4-444-4-44-2-4-44422-2-222-24-44-40000000022-20000-2-22-220000000000000000000000000000000000000000000000
χ864-4-444-4-44-2-4-44422-2-222-2-44-440000000022-20000-22-22-20000000000000000000000000000000000000000000000
χ874-4-4-4-4444-2-444-4222-2-2-2200004-4-4400002-2222-2-2-200000000-220000000000000000000000000000000000000000
χ884-4-4-4-4444-2-444-4222-2-2-220000-444-400002-22-2-222-2000000002-20000000000000000000000000000000000000000
χ8988-88-88-8-8-40000-44-44-4440000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-888-8-8-400004-444-44-40000000000000000000000000000000000000000000000000000000000000000000000

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