Finite Group Databasebeta

← Group #10833327

Character table — Group #10833327

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444444444444444444488888888888888888888888888888881212242424242424242424484848
order12222234444666222244446666668812121212121212122424242444444466888121212121212121212121212121224242424242488222444888488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1111-1-1-1
χ41111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111
χ51111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111-1-1-11-1
χ61111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1111-11
χ71111111111111111-1-111-1-1111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-11-1-11-11
χ81111111111111111-1-111-1-1111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-11-1
χ911111111111111-1-111-1-11111-1-1-1-111111-1-1-1-11111111-1-1-1-1111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111-1-11
χ1011111111111111-1-111-1-11111-1-1-1-111111-1-1-1-11111111-1-1-1-1111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-1
χ1111111111111111-1-111-1-11111-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-111-1-111-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111111-1
χ1211111111111111-1-111-1-11111-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-111-1-111-111-1-1-1-1111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-11
χ1311111111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-111111-1-11111-1-11-1-1-1-1-1-11111-1-1111111-1-1-1-111-111-1111-1-11-1-1
χ1411111111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-111111-1-11111-1-11-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11-1-11-1-1-111-111
χ1511111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-11-1-1-1-111-1-111-1-1-1111111-1-1-1-1-1-11111-1-1111111-111-1-1-11-1-1-111
χ1611111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-11-1-1-1-111-1-111-1-1-1111111-1-1-1-1-1-11111-1-11111-1-11-1-1111-1111-1-1
χ17222222-12222-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ18222222-12222-1-1-122222222-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-11111-2-2-2-222-1-1-2-2-211111111-1-1-1-1-1-111111100000000000000
χ19222222-12222-1-1-122-2-222-2-2-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21122211111111111111-1-1-1-1-1-100000000000000
χ20222222-12222-1-1-122-2-222-2-2-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-111112222-2-211-2-2-2-1-1-1-1-1-1-1-111111111111100000000000000
χ21222222-12222-1-1-1-2-222-2-222-1-1111122-1-1-11111-1-1-1-1-122-2-2-2-2-1-12-2-2-1-1-1-11111-1-11111-1-1111100000000000000
χ22222222-12222-1-1-1-2-222-2-222-1-11111-2-2-1-1-11111-11111-2-222-2-2-1-1-2221111-1-1-1-1-1-1111111-1-1-1-100000000000000
χ23222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-1111122-1-1-11111-1-1-1-1-1-2-22222112-2-21111-1-1-1-111-1-1-1-1-1-1111100000000000000
χ24222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-11111-2-2-1-1-11111-1111122-2-22211-222-1-1-1-1111111-1-1-1-111-1-1-1-100000000000000
χ252222-2-222-2-222222200-2-200-2-222220022-2-2-2-2-2-20000000000000000000000000000000000022-200200-200000
χ262222-2-222-2-222222200-2-200-2-222220022-2-2-2-2-2-200000000000000000000000000000000000-2-2200-200200000
χ272222-2-222-2-22222-2-2002200-2-2-2-2-2-20022-22222-20000000000000000000000000000000000022200-200-200000
χ282222-2-222-2-22222-2-2002200-2-2-2-2-2-20022-22222-200000000000000000000000000000000000-2-2-200200200000
χ292222-2-22-222-2222002200-2-2-2-2000022-2-220000222222-2000022-20022-2-20000-2-20000-2-2000000000000000000
χ302222-2-22-222-2222002200-2-2-2-20000-2-2-2-2200002-2-2-2-2-22000022200-2-2220000-2-2000022000000000000000000
χ312222-2-22-222-222200-2-20022-2-2000022-2-22000022222-220000-2-2-200-2-2220000220000-2-2000000000000000000
χ322222-2-22-222-222200-2-20022-2-20000-2-2-2-2200002-2-2-2-22-20000-2-220022-2-2000022000022000000000000000000
χ332222-2-2-1-222-2-1-1-1002200-2-211−i3−i3i3i32211-1−i3−i3i3i3-1-1-1-1-12-20000-1-1-200-1-111−i3−i3i3i311−i3−i3i3i311−i3−i3i3i300000000000000
χ342222-2-2-1-222-2-1-1-1002200-2-211−i3−i3i3i3-2-211-1−i3−i3i3i3-11111-220000-1-120011-1-1i3i3−i3−i311−i3−i3i3i3-1-1i3i3−i3−i300000000000000
χ352222-2-2-1-222-2-1-1-1002200-2-211i3i3−i3−i32211-1i3i3−i3−i3-1-1-1-1-12-20000-1-1-200-1-111i3i3−i3−i311i3i3−i3−i311i3i3−i3−i300000000000000
χ362222-2-2-1-222-2-1-1-1002200-2-211i3i3−i3−i3-2-211-1i3i3−i3−i3-11111-220000-1-120011-1-1−i3−i3i3i311i3i3−i3−i3-1-1−i3−i3i3i300000000000000
χ372222-2-2-1-222-2-1-1-100-2-2002211−i3−i3i3i32211-1−i3−i3i3i3-1-1-1-1-1-22000011-20011-1-1i3i3−i3−i3-1-1i3i3−i3−i311−i3−i3i3i300000000000000
χ382222-2-2-1-222-2-1-1-100-2-2002211−i3−i3i3i3-2-211-1−i3−i3i3i3-111112-2000011200-1-111−i3−i3i3i3-1-1i3i3−i3−i3-1-1i3i3−i3−i300000000000000
χ392222-2-2-1-222-2-1-1-100-2-2002211i3i3−i3−i32211-1i3i3−i3−i3-1-1-1-1-1-22000011-20011-1-1−i3−i3i3i3-1-1−i3−i3i3i311i3i3−i3−i300000000000000
χ402222-2-2-1-222-2-1-1-100-2-2002211i3i3−i3−i3-2-211-1i3i3−i3−i3-111112-2000011200-1-111i3i3−i3−i3-1-1−i3−i3i3i3-1-1−i3−i3i3i300000000000000
χ412-2-222-222-22-2-2-22002-2002-22-20000002-220000-20000002i−2i002-202i−2i00002i−2i2i−2i2-20000002i−2i2i−2i00000000000000
χ422-2-222-222-22-2-2-22002-2002-22-20000002-220000-2000000−2i2i002-20−2i2i0000−2i2i−2i2i2-2000000−2i2i−2i2i00000000000000
χ432-2-222-222-22-2-2-2200-2200-222-20000002-220000-20000002i−2i00-220−2i2i00002i−2i2i−2i-22000000−2i2i−2i2i00000000000000
χ442-2-222-222-22-2-2-2200-2200-222-20000002-220000-2000000−2i2i00-2202i−2i0000−2i2i−2i2i-220000002i−2i2i−2i00000000000000
χ452-2-222-22-22-22-2-222-2002-2002-22-22-200-22-22-22-22000000000000000000000000000000000000002-200002-2000
χ462-2-222-22-22-22-2-222-2002-2002-22-22-200-22-22-22-2200000000000000000000000000000000000000-220000-22000
χ472-2-222-22-22-22-2-22-2200-22002-2-22-2200-22-2-22-222000000000000000000000000000000000000002-20000-22000
χ482-2-222-22-22-22-2-22-2200-22002-2-22-2200-22-2-22-22200000000000000000000000000000000000000-2200002-2000
χ492-2-222-2-12-22-211-1002-2002-2-11−i3i3i3−i300-11-1i3−i3−i3i3133−3−3002i−2i00-1102i−2i3−33−3−ii−ii-11−i3i3−i3i33−3−ii−ii00000000000000
χ502-2-222-2-12-22-211-1002-2002-2-11−i3i3i3−i300-11-1i3−i3−i3i31−3−33300−2i2i00-110−2i2i−33−33i−ii−i-11−i3i3−i3i3−33i−ii−i00000000000000
χ512-2-222-2-12-22-211-1002-2002-2-11i3−i3−i3i300-11-1−i3i3i3−i3133−3−300−2i2i00-110−2i2i3−33−3i−ii−i-11i3−i3i3−i33−3i−ii−i00000000000000
χ522-2-222-2-12-22-211-1002-2002-2-11i3−i3−i3i300-11-1−i3i3i3−i31−3−333002i−2i00-1102i−2i−33−33−ii−ii-11i3−i3i3−i3−33−ii−ii00000000000000
χ532-2-222-2-12-22-211-100-2200-22-11−i3i3i3−i300-11-1i3−i3−i3i3133−3−300−2i2i001-102i−2i−33−33i−ii−i1-1i3−i3i3−i33−3−ii−ii00000000000000
χ542-2-222-2-12-22-211-100-2200-22-11−i3i3i3−i300-11-1i3−i3−i3i31−3−333002i−2i001-10−2i2i3−33−3−ii−ii1-1i3−i3i3−i3−33i−ii−i00000000000000
χ552-2-222-2-12-22-211-100-2200-22-11i3−i3−i3i300-11-1−i3i3i3−i3133−3−3002i−2i001-10−2i2i−33−33−ii−ii1-1−i3i3−i3i33−3i−ii−i00000000000000
χ562-2-222-2-12-22-211-100-2200-22-11i3−i3−i3i300-11-1−i3i3i3−i31−3−33300−2i2i001-102i−2i3−33−3i−ii−i1-1−i3i3−i3i3−33−ii−ii00000000000000
χ572-2-22-222-2-222-2-222-22-2-22-22-222-22-200-222-22-22-2000000002-22-200000000000-222-2-2200000000000000000000
χ582-2-22-222-2-222-2-222-2-22-222-2-222-22-200-222-22-22-200000000-22-22000000000002-2-222-200000000000000000000
χ592-2-22-222-2-222-2-22-222-22-2-22-22-22-2200-2222-22-2-200000000-222-200000000000-22-222-200000000000000000000
χ602-2-22-222-2-222-2-22-22-222-22-2-22-22-2200-2222-22-2-2000000002-2-22000000000002-22-2-2200000000000000000000
χ612-2-22-22-1-2-22211-12-22-2-22-221-1-11-11001-1-11-11-1133−3−300002-2-110003−3−333−3−331-1-111-1−333−3−3300000000000000
χ622-2-22-22-1-2-22211-12-22-2-22-221-1-11-11001-1-11-11-11−3−33300002-2-11000−333−3−333−31-1-111-13−3−333−300000000000000
χ632-2-22-22-1-2-22211-12-2-22-222-21-1-11-11001-1-11-11-1133−3−30000-221-1000−333−3−333−3-111-1-11−333−3−3300000000000000
χ642-2-22-22-1-2-22211-12-2-22-222-21-1-11-11001-1-11-11-11−3−3330000-221-10003−3−333−3−33-111-1-113−3−333−300000000000000
χ652-2-22-22-1-2-22211-1-222-22-2-221-11-11-1001-1-1-11-11133−3−30000-22-110003−3−33−333−31-11-1-11−33−333−300000000000000
χ662-2-22-22-1-2-22211-1-222-22-2-221-11-11-1001-1-1-11-111−3−3330000-22-11000−333−33−3−331-11-1-113−33−3−3300000000000000
χ672-2-22-22-1-2-22211-1-22-222-22-21-11-11-1001-1-1-11-11133−3−300002-21-1000−333−33−3−33-11-111-1−33−333−300000000000000
χ682-2-22-22-1-2-22211-1-22-222-22-21-11-11-1001-1-1-11-111−3−33300002-21-10003−3−33−333−3-11-111-13−33−3−3300000000000000
χ694444444-4-4-4-44440000000044000000-4-4-40000-40000000000000000000000000000000000000000000000000
χ70444444-2-4-4-4-4-2-2-200000000-2-2−2i3−2i32i32i3002222i32i3−2i3−2i320000000000000000000000000000000000000000000000000
χ71444444-2-4-4-4-4-2-2-200000000-2-22i32i3−2i3−2i300222−2i3−2i32i32i320000000000000000000000000000000000000000000000000
χ724444-4-4-24-4-44-2-2-24400-4-40022-2-2-2-200-2-22222220000000000000000000000000000000000000000000000000
χ734444-4-4-24-4-44-2-2-2-4-400440022222200-2-22-2-2-2-220000000000000000000000000000000000000000000000000
χ744-44-40040000-44-400000000000000−2i22i200000000−2i22i2−2i22i20000000000000000000000000000000−2i22i200002-2000000
χ754-44-40040000-44-400000000000000−2i22i200000000−2i22i2−2i22i200000000000000000000000000000002i2−2i20000-22000000
χ764-44-40040000-44-4000000000000002i2−2i2000000002i2−2i22i2−2i20000000000000000000000000000000−2i22i20000-22000000
χ774-44-40040000-44-4000000000000002i2−2i2000000002i2−2i22i2−2i200000000000000000000000000000002i2−2i200002-2000000
χ784-4-444-4-2-44-4422-24-4004-400-22-22-22002-22-22-22-20000000000000000000000000000000000000000000000000
χ794-4-444-4-2-44-4422-2-4400-4400-222-22-2002-222-22-2-20000000000000000000000000000000000000000000000000
χ804-4-44-44444-4-4-4-4400000000-440000004-4-4000040000000000000000000000000000000000000000000000000
χ814-4-44-44-244-4-422-2000000002-2−2i32i32i3−2i300-222−2i32i32i3−2i3-20000000000000000000000000000000000000000000000000
χ824-4-44-44-244-4-422-2000000002-22i3−2i3−2i32i300-2222i3−2i3−2i32i3-20000000000000000000000000000000000000000000000000
χ8388-8-800800008-8-80000000000000000000000000000000000000000000000000000000000000000000000000
χ8488-8-800-40000-4440000000000000000000000002i6−2i6−2i62i6000000000000000000000000000000000000000000000
χ8588-8-800-40000-444000000000000000000000000−2i62i62i6−2i6000000000000000000000000000000000000000000000
χ868-88-800-400004-4400000000000000−4i24i2000000002i2−2i22i2−2i2000000000000000000000000000000000000000000000
χ878-88-800-400004-44000000000000004i2−4i200000000−2i22i2−2i22i2000000000000000000000000000000000000000000000

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