Finite Group Databasebeta

← Group #10826895

Character table — Group #10826895

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444444444444444488888888888888888888888888888888242424242424242448484848
order122222344446662222224466666666661212121212121212224444444466666612121212121212121212121212121212444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1
χ6111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ7111111111111111111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ8111111111111111111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ911111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-111-1-1-1-11-11111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-1
χ1011111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-111-1-1-1-11-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11-11
χ1111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-11-1-111-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-11-11
χ1211111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-11-1-111-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-11-1
χ1311111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111111-1-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-1111-1-11
χ1411111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111111-1-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-111-1
χ1511111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-111-11-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-111-111-1
χ1611111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-111-11-1-1-1-1111111-1-1-1-11111-1-111-1-11111-1-11-1-11
χ172222222-2-2-2-222222-2-222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-20000002-2002200000000000022-2-20000000000000000
χ182222222-2-2-2-222222-2-2-2-222222222-2-2-2-2-2-2-2-22222000000-2200-2-2000000000000-2-2220000000000000000
χ192222222-2-2-2-2222-2-22222-2-222-2-2-2-22222-2-2-2-2-2-2-2-2000000-220022000000000000-2-2220000000000000000
χ202222222-2-2-2-2222-2-222-2-22222-2-2-2-22222-2-2-2-222220000002-200-2-200000000000022-2-20000000000000000
χ21222222-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ22222222-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-2-1-1111111111111-1-1-1-11111000000000000
χ23222222-12222-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1111122-2-2-2-2-2-22211-1-1-1-1111111111111-1-1-1-1000000000000
χ24222222-12222-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-22222-2-2-2-2111111-1-1-1-1-1-1-1-111111111000000000000
χ25222222-12222-1-1-1-2-2-2-22222-1-111111111-1-1-1-1-1-1-1-12-222-2-2-2-22-2-1-1-1-111-1-1-1-111111111-1-111000000000000
χ26222222-12222-1-1-1-2-2-2-22222-1-111111111-1-1-1-1-1-1-1-1-22-2-222-2-2-22-1-111-1-11111-1-1-1-1111111-1-1000000000000
χ27222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-111111111-1-1-1-111112-2-2-222222-211-1-1111111-1-1-1-1-1-1-1-1-1-111000000000000
χ28222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-111111111-1-1-1-11111-2222-2-222-221111-1-1-1-1-1-11111-1-1-1-111-1-1000000000000
χ29222222-1-2-2-2-2-1-1-122-2-222-2-2-1-1-1-1-1-11111111111110000002-200-1-1−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3-1-111−i3i3−i3i3000000000000
χ30222222-1-2-2-2-2-1-1-122-2-222-2-2-1-1-1-1-1-11111111111110000002-200-1-1i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3-1-111i3−i3i3−i3000000000000
χ31222222-1-2-2-2-2-1-1-122-2-2-2-222-1-1-1-1-1-111111111-1-1-1-1000000-220011−i3i3−i3i3i3i3−i3−i3i3i3−i3−i311-1-1−i3i3−i3i3000000000000
χ32222222-1-2-2-2-2-1-1-122-2-2-2-222-1-1-1-1-1-111111111-1-1-1-1000000-220011i3−i3i3−i3−i3−i3i3i3−i3−i3i3i311-1-1i3−i3i3−i3000000000000
χ33222222-1-2-2-2-2-1-1-1-2-22222-2-2-1-11111-1-1-1-111111111000000-2200-1-1−i3i3i3−i3−i3−i3i3i3i3i3−i3−i311-1-1−i3i3i3−i3000000000000
χ34222222-1-2-2-2-2-1-1-1-2-22222-2-2-1-11111-1-1-1-111111111000000-2200-1-1i3−i3−i3i3i3i3−i3−i3−i3−i3i3i311-1-1i3−i3−i3i3000000000000
χ35222222-1-2-2-2-2-1-1-1-2-222-2-222-1-11111-1-1-1-11111-1-1-1-10000002-20011−i3i3i3−i3i3i3−i3−i3−i3−i3i3i3-1-111−i3i3i3−i3000000000000
χ36222222-1-2-2-2-2-1-1-1-2-222-2-222-1-11111-1-1-1-11111-1-1-1-10000002-20011i3−i3−i3i3−i3−i3i3i3i3i3−i3−i3-1-111i3−i3−i3i3000000000000
χ372222-2-2222-2-222200002-22-2-2-20000000022-2-222-2-202002-2000-22-2002200002-22-2000000-2-2000000000000
χ382222-2-2222-2-222200002-22-2-2-20000000022-2-222-2-20-200-2200022-200-2-20000-22-2200000022000000000000
χ392222-2-2222-2-22220000-22-22-2-20000000022-2-2-2-2220200-22000-2-2200220000-22-22000000-2-2000000000000
χ402222-2-2222-2-22220000-22-22-2-20000000022-2-2-2-2220-2002-20002-2200-2-200002-22-200000022000000000000
χ412222-2-22-2-22222200002-2-22-2-200000000-2-222-2-222202-20000-202-222002-22-200000000-2-200000000000000
χ422222-2-22-2-22222200002-2-22-2-200000000-2-222-2-222-20-220000202-2-2-200-22-22000000002200000000000000
χ432222-2-22-2-2222220000-222-2-2-200000000-2-22222-2-220-220000-20-222200-22-2200000000-2-200000000000000
χ442222-2-22-2-2222220000-222-2-2-200000000-2-22222-2-2-202-2000020-22-2-2002-22-2000000002200000000000000
χ452222-2-2-122-2-2-1-1-100002-22-211−i3−i3i3i3−i3−i3i3i3-1-111-1-11102002-2000-2-11−i3i3-1-1−i3i3i3−i3-11-11−i3i3−i3i3i3−i311000000000000
χ462222-2-2-122-2-2-1-1-100002-22-211−i3−i3i3i3−i3−i3i3i3-1-111-1-1110-200-220002-11i3−i311i3−i3−i3i31-11-1−i3i3−i3i3−i3i3-1-1000000000000
χ472222-2-2-122-2-2-1-1-100002-22-211i3i3−i3−i3i3i3−i3−i3-1-111-1-11102002-2000-2-11i3−i3-1-1i3−i3−i3i3-11-11i3−i3i3−i3−i3i311000000000000
χ482222-2-2-122-2-2-1-1-100002-22-211i3i3−i3−i3i3i3−i3−i3-1-111-1-1110-200-220002-11−i3i311−i3i3i3−i31-11-1i3−i3i3−i3i3−i3-1-1000000000000
χ492222-2-2-122-2-2-1-1-10000-22-2211−i3−i3i3i3−i3−i3i3i3-1-11111-1-10200-22000-21-1−i3i3-1-1i3−i3−i3i31-11-1i3−i3i3−i3i3−i311000000000000
χ502222-2-2-122-2-2-1-1-10000-22-2211−i3−i3i3i3−i3−i3i3i3-1-11111-1-10-2002-200021-1i3−i311−i3i3i3−i3-11-11i3−i3i3−i3−i3i3-1-1000000000000
χ512222-2-2-122-2-2-1-1-10000-22-2211i3i3−i3−i3i3i3−i3−i3-1-11111-1-10200-22000-21-1i3−i3-1-1−i3i3i3−i31-11-1−i3i3−i3i3−i3i311000000000000
χ522222-2-2-122-2-2-1-1-10000-22-2211i3i3−i3−i3i3i3−i3−i3-1-11111-1-10-2002-200021-1−i3i311i3−i3−i3i3-11-11−i3i3−i3i3i3−i3-1-1000000000000
χ532222-2-2-1-2-222-1-1-100002-2-2211−i3−i3i3i3i3i3−i3−i311-1-111-1-1202-20000-20-11-1-1−i3i3-11-11−i3i3i3−i3−i3i3i3−i311i3−i3000000000000
χ542222-2-2-1-2-222-1-1-100002-2-2211−i3−i3i3i3i3i3−i3−i311-1-111-1-1-20-22000020-1111i3−i31-11-1i3−i3−i3i3−i3i3i3−i3-1-1−i3i3000000000000
χ552222-2-2-1-2-222-1-1-100002-2-2211i3i3−i3−i3−i3−i3i3i311-1-111-1-1202-20000-20-11-1-1i3−i3-11-11i3−i3−i3i3i3−i3−i3i311−i3i3000000000000
χ562222-2-2-1-2-222-1-1-100002-2-2211i3i3−i3−i3−i3−i3i3i311-1-111-1-1-20-22000020-1111−i3i31-11-1−i3i3i3−i3i3−i3−i3i3-1-1i3−i3000000000000
χ572222-2-2-1-2-222-1-1-10000-222-211−i3−i3i3i3i3i3−i3−i311-1-1-1-11120-220000-201-1-1-1−i3i31-11-1i3−i3−i3i3i3−i3−i3i311i3−i3000000000000
χ582222-2-2-1-2-222-1-1-10000-222-211−i3−i3i3i3i3i3−i3−i311-1-1-1-111-202-20000201-111i3−i3-11-11−i3i3i3−i3i3−i3−i3i3-1-1−i3i3000000000000
χ592222-2-2-1-2-222-1-1-10000-222-211i3i3−i3−i3−i3−i3i3i311-1-1-1-11120-220000-201-1-1-1i3−i31-11-1−i3i3i3−i3−i3i3i3−i311−i3i3000000000000
χ602222-2-2-1-2-222-1-1-10000-222-211i3i3−i3−i3−i3−i3i3i311-1-1-1-111-202-20000201-111−i3i3-11-11i3−i3−i3i3−i3i3i3−i3-1-1i3−i3000000000000
χ612-2-22-2222-22-2-2-222-22-200002-22-22-22-22-22-22-2000000000000000000000000000000000000002-2002-20000
χ622-2-22-2222-22-2-2-222-22-200002-22-22-22-22-22-22-200000000000000000000000000000000000000-2200-220000
χ632-2-22-2222-22-2-2-22-22-2200002-2-22-22-22-222-22-2000000000000000000000000000000000000002-200-220000
χ642-2-22-2222-22-2-2-22-22-2200002-2-22-22-22-222-22-200000000000000000000000000000000000000-22002-20000
χ652-2-22-222-22-22-2-222-2-2200002-22-22-2-22-22-22-220000000000000000000000000000000000002-2002-2000000
χ662-2-22-222-22-22-2-222-2-2200002-22-22-2-22-22-22-22000000000000000000000000000000000000-2200-22000000
χ672-2-22-222-22-22-2-22-222-200002-2-22-222-22-2-22-220000000000000000000000000000000000002-200-22000000
χ682-2-22-222-22-22-2-22-222-200002-2-22-222-22-2-22-22000000000000000000000000000000000000-22002-2000000
χ694-4-444-444-4-44-4-4400000000-44000000004-4-44000000000000000000000000000000000000000000000000
χ704-4-444-44-444-4-4-4400000000-4400000000-444-4000000000000000000000000000000000000000000000000
χ714-4-444-4-24-4-4422-2000000002-2−2i32i32i3−2i3−2i32i32i3−2i3-222-2000000000000000000000000000000000000000000000000
χ724-4-444-4-24-4-4422-2000000002-22i3−2i3−2i32i32i3−2i3−2i32i3-222-2000000000000000000000000000000000000000000000000
χ734-4-444-4-2-444-422-2000000002-2−2i32i32i3−2i32i3−2i3−2i32i32-2-22000000000000000000000000000000000000000000000000
χ744-4-444-4-2-444-422-2000000002-22i3−2i3−2i32i3−2i32i32i3−2i32-2-22000000000000000000000000000000000000000000000000
χ754-4-44-44-24-44-422-24-44-40000-22-22-22-22-22-22-22000000000000000000000000000000000000000000000000
χ764-4-44-44-24-44-422-2-44-440000-222-22-22-22-2-22-22000000000000000000000000000000000000000000000000
χ774-4-44-44-2-44-4422-24-4-440000-22-22-222-22-22-22-2000000000000000000000000000000000000000000000000
χ784-4-44-44-2-44-4422-2-444-40000-222-22-2-22-222-22-2000000000000000000000000000000000000000000000000
χ7988-8-800800008-8-80000000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-800-40000-444000000000000000000000043−430000000000000000000000000000000000000000000000
χ8188-8-800-40000-4440000000000000000000000−43430000000000000000000000000000000000000000000000
χ828-88-80080000-88-80000000000000000000000000000000000000000000000000000000000000000000000
χ838-88-800-400004-4400000000000000000000000043−4300000000000000000000000000000000000000000000
χ848-88-800-400004-44000000000000000000000000−434300000000000000000000000000000000000000000000

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