Finite Group Databasebeta

← Group #10848648

Character table — Group #10848648

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444444444444444488888888888888888888888888888888242424242424242448484848
order122222344446664444444466121212121212121212121212121212122444444444661212121212121212121212121212121212121212444488882488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-11111111111-1-1-1-11111-111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-11-1
χ6111111111111111111-1-1-1-11111111111-1-1-1-11111-111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-11-11
χ7111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-11-11
χ8111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111-11-1
χ911111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ1011111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ1111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1
χ1211111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111
χ1311111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-11111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111-111-1
χ1411111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-11-1-11
χ1511111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1111-1-11
χ1611111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-111-1
χ172222222-2-2-2-2222000022-2-2220000000022-2-2-2-2-2-20000002-22-2002-2000000000022-2-222-2-2000000000000
χ182222222-2-2-2-2222000022-2-2220000000022-2-2-2-2-2-2000000-22-22002-20000000000-2-222-2-222000000000000
χ192222222-2-2-2-22220000-2-2222200000000-2-222-2-2-2-20000002-2-2200-22000000000022-2-2-2-222000000000000
χ202222222-2-2-2-22220000-2-2222200000000-2-222-2-2-2-2000000-222-200-220000000000-2-22222-2-2000000000000
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
χ22222222-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-22-2-2-2-2-1-1-1-111111111-1-111111111000000000000
χ23222222-12222-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-222-2-2-222-2-21111-1-1-1-1111111-1-1-1-11111000000000000
χ24222222-12222-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-2-2-222-2-2-22211111111-1-1-1-1111111-1-1-1-1000000000000
χ25222222-12222-1-1-1-2-2-2-22222-1-111111111-1-1-1-1-1-1-1-1-22222-2-2-2-2-211-1-1-1-1-1-1-1-1-1-11111111111000000000000
χ26222222-12222-1-1-1-2-2-2-22222-1-111111111-1-1-1-1-1-1-1-1-2-2-2-2-2-2222211-1-11111111111-1-1-1-1-1-1-1-1000000000000
χ27222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-1111111111111-1-1-1-1222-2-22-2-222-1-111-1-1-1-11111-1-11111-1-1-1-1000000000000
χ28222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-1111111111111-1-1-1-12-2-222222-2-2-1-1111111-1-1-1-1-1-1-1-1-1-11111000000000000
χ29222222-1-2-2-2-2-1-1-1000022-2-2-1-1−i3−i3−i3−i3i3i3i3i3-1-11111110000002-22-2−i3i3-11−i3−i3i3i3−i3−i3i3i3−i3i3-1-111-1-111000000000000
χ30222222-1-2-2-2-2-1-1-1000022-2-2-1-1−i3−i3−i3−i3i3i3i3i3-1-1111111000000-22-22−i3i3-11i3i3−i3−i3i3i3−i3−i3−i3i311-1-111-1-1000000000000
χ31222222-1-2-2-2-2-1-1-1000022-2-2-1-1i3i3i3i3−i3−i3−i3−i3-1-11111110000002-22-2i3−i3-11i3i3−i3−i3i3i3−i3−i3i3−i3-1-111-1-111000000000000
χ32222222-1-2-2-2-2-1-1-1000022-2-2-1-1i3i3i3i3−i3−i3−i3−i3-1-1111111000000-22-22i3−i3-11−i3−i3i3i3−i3−i3i3i3i3−i311-1-111-1-1000000000000
χ33222222-1-2-2-2-2-1-1-10000-2-222-1-1−i3−i3−i3−i3i3i3i3i311-1-111110000002-2-22i3−i31-1−i3−i3i3i3i3i3−i3−i3i3−i3-1-11111-1-1000000000000
χ34222222-1-2-2-2-2-1-1-10000-2-222-1-1−i3−i3−i3−i3i3i3i3i311-1-11111000000-222-2i3−i31-1i3i3−i3−i3−i3−i3i3i3i3−i311-1-1-1-111000000000000
χ35222222-1-2-2-2-2-1-1-10000-2-222-1-1i3i3i3i3−i3−i3−i3−i311-1-111110000002-2-22−i3i31-1i3i3−i3−i3−i3−i3i3i3−i3i3-1-11111-1-1000000000000
χ36222222-1-2-2-2-2-1-1-10000-2-222-1-1i3i3i3i3−i3−i3−i3−i311-1-11111000000-222-2−i3i31-1−i3−i3i3i3i3i3−i3−i3−i3i311-1-1-1-111000000000000
χ372222-2-222-2-2222222-2-22-22-2-2-222-2-222-2-222-2-222-2-220000-2000022-2200000000-2-200000000000000000000
χ382222-2-222-2-2222222-2-2-22-22-2-222-2-222-2-2-2-22222-2-2-2000020000-2-22-2000000002200000000000000000000
χ392222-2-222-2-22222-2-2222-22-2-2-2-2-222-2-22222-2-222-2-2-2000020000-2-2-22000000002200000000000000000000
χ402222-2-222-2-22222-2-222-22-22-2-2-2-222-2-222-2-22222-2-220000-20000222-200000000-2-200000000000000000000
χ412222-2-22-222-222200002-2-22-2-2000000002222-2-22202-22-20000000-2-22-22-22-22-20000000000000000000000
χ422222-2-22-222-222200002-2-22-2-2000000002222-2-2220-22-220000000-2-2-22-22-22-220000000000000000000000
χ432222-2-22-222-22220000-222-2-2-200000000-2-2-2-2-2-22202-2-220000000222-22-2-22-220000000000000000000000
χ442222-2-22-222-22220000-222-2-2-200000000-2-2-2-2-2-2220-222-2000000022-22-222-22-20000000000000000000000
χ452222-2-2-12-2-22-1-1-122-2-22-22-211-1-111-1-111-1-111-1-11120000-20000-1-11-1−i3i3i3−i3−i3i3i3−i311−i3i3−i3i3−i3i3−i3i3000000000000
χ462222-2-2-12-2-22-1-1-122-2-22-22-211-1-111-1-111-1-111-1-11120000-20000-1-11-1i3−i3−i3i3i3−i3−i3i311i3−i3i3−i3i3−i3i3−i3000000000000
χ472222-2-2-12-2-22-1-1-122-2-2-22-2211-1-111-1-11111-1-1-1-111-200002000011-11−i3i3i3−i3i3−i3−i3i3-1-1−i3i3−i3i3i3−i3i3−i3000000000000
χ482222-2-2-12-2-22-1-1-122-2-2-22-2211-1-111-1-11111-1-1-1-111-200002000011-11i3−i3−i3i3−i3i3i3−i3-1-1i3−i3i3−i3−i3i3−i3i3000000000000
χ492222-2-2-12-2-22-1-1-1-2-2222-22-21111-1-111-1-1-1-111-1-111-2000020000111-1−i3i3i3−i3−i3i3i3−i3-1-1i3−i3i3−i3i3−i3i3−i3000000000000
χ502222-2-2-12-2-22-1-1-1-2-2222-22-21111-1-111-1-1-1-111-1-111-2000020000111-1i3−i3−i3i3i3−i3−i3i3-1-1−i3i3−i3i3−i3i3−i3i3000000000000
χ512222-2-2-12-2-22-1-1-1-2-222-22-221111-1-111-1-111-1-1-1-11120000-20000-1-1-11−i3i3i3−i3i3−i3−i3i311i3−i3i3−i3−i3i3−i3i3000000000000
χ522222-2-2-12-2-22-1-1-1-2-222-22-221111-1-111-1-111-1-1-1-11120000-20000-1-1-11i3−i3−i3i3−i3i3i3−i311−i3i3−i3i3i3−i3i3−i3000000000000
χ532222-2-2-1-222-2-1-1-100002-2-2211−i3−i3i3i3i3i3−i3−i3-1-1-1-111-1-102-22-200000−i3i311-11-11-11-11i3−i3−i3i3i3−i3−i3i3i3−i3000000000000
χ542222-2-2-1-222-2-1-1-100002-2-2211−i3−i3i3i3i3i3−i3−i3-1-1-1-111-1-10-22-2200000−i3i3111-11-11-11-1i3−i3i3−i3−i3i3i3−i3−i3i3000000000000
χ552222-2-2-1-222-2-1-1-100002-2-2211i3i3−i3−i3−i3−i3i3i3-1-1-1-111-1-102-22-200000i3−i311-11-11-11-11−i3i3i3−i3−i3i3i3−i3−i3i3000000000000
χ562222-2-2-1-222-2-1-1-100002-2-2211i3i3−i3−i3−i3−i3i3i3-1-1-1-111-1-10-22-2200000i3−i3111-11-11-11-1−i3i3−i3i3i3−i3−i3i3i3−i3000000000000
χ572222-2-2-1-222-2-1-1-10000-222-211−i3−i3i3i3i3i3−i3−i3111111-1-102-2-2200000i3−i3-1-1-11-111-11-1−i3i3−i3i3i3−i3i3−i3−i3i3000000000000
χ582222-2-2-1-222-2-1-1-10000-222-211−i3−i3i3i3i3i3−i3−i3111111-1-10-222-200000i3−i3-1-11-11-1-11-11−i3i3i3−i3−i3i3−i3i3i3−i3000000000000
χ592222-2-2-1-222-2-1-1-10000-222-211i3i3−i3−i3−i3−i3i3i3111111-1-102-2-2200000−i3i3-1-1-11-111-11-1i3−i3i3−i3−i3i3−i3i3i3−i3000000000000
χ602222-2-2-1-222-2-1-1-10000-222-211i3i3−i3−i3−i3−i3i3i3111111-1-10-222-200000−i3i3-1-11-11-1-11-11i3−i3−i3i3i3−i3i3−i3−i3i3000000000000
χ612-2-222-2222-2-2-2-222i−2i2i−2i00002-22i−2i2i−2i2i−2i2i−2i00002-22-200000000000000000000000000000000002-2002i−2i0000
χ622-2-222-2222-2-2-2-222i−2i2i−2i00002-22i−2i2i−2i2i−2i2i−2i00002-22-20000000000000000000000000000000000-2200−2i2i0000
χ632-2-222-2222-2-2-2-22−2i2i−2i2i00002-2−2i2i−2i2i−2i2i−2i2i00002-22-200000000000000000000000000000000002-200−2i2i0000
χ642-2-222-2222-2-2-2-22−2i2i−2i2i00002-2−2i2i−2i2i−2i2i−2i2i00002-22-20000000000000000000000000000000000-22002i−2i0000
χ652-2-22-2222-22-2-2-222i−2i−2i2i0000-222i−2i−2i2i2i−2i−2i2i00002-2-22000000000000000000000000000000002-2002i−2i000000
χ662-2-22-2222-22-2-2-222i−2i−2i2i0000-222i−2i−2i2i2i−2i−2i2i00002-2-2200000000000000000000000000000000-2200−2i2i000000
χ672-2-22-2222-22-2-2-22−2i2i2i−2i0000-22−2i2i2i−2i−2i2i2i−2i00002-2-22000000000000000000000000000000002-200−2i2i000000
χ682-2-22-2222-22-2-2-22−2i2i2i−2i0000-22−2i2i2i−2i−2i2i2i−2i00002-2-2200000000000000000000000000000000-22002i−2i000000
χ694-4-444-44-4-444-4-44000000004-4000000000000-44-4400000000000000000000000000000000000000000000
χ704-4-444-4-244-4-422-24i−4i4i−4i0000-22−2i2i−2i2i−2i2i−2i2i0000-22-2200000000000000000000000000000000000000000000
χ714-4-444-4-244-4-422-2−4i4i−4i4i0000-222i−2i2i−2i2i−2i2i−2i0000-22-2200000000000000000000000000000000000000000000
χ724-4-444-4-2-4-44422-200000000-2223−2323−23−2323−232300002-22-200000000000000000000000000000000000000000000
χ734-4-444-4-2-4-44422-200000000-22−2323−232323−2323−2300002-22-200000000000000000000000000000000000000000000
χ744-4-44-444-44-44-4-4400000000-44000000000000-444-400000000000000000000000000000000000000000000
χ754-4-44-44-24-44-422-24i−4i−4i4i00002-2−2i2i2i−2i−2i2i2i−2i0000-222-200000000000000000000000000000000000000000000
χ764-4-44-44-24-44-422-2−4i4i4i−4i00002-22i−2i−2i2i2i−2i−2i2i0000-222-200000000000000000000000000000000000000000000
χ774-4-44-44-2-44-4422-2000000002-223−23−2323−232323−2300002-2-2200000000000000000000000000000000000000000000
χ784-4-44-44-2-44-4422-2000000002-2−232323−2323−23−232300002-2-2200000000000000000000000000000000000000000000
χ7988-8-800800008-8-80000000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-800-40000-444000000000000000000−4i34i300000000000000000000000000000000000000000000000000
χ8188-8-800-40000-4440000000000000000004i3−4i300000000000000000000000000000000000000000000000000
χ828-88-80080000-88-80000000000000000000000000000000000000000000000000000000000000000000000
χ838-88-800-400004-4400000000000000000000−4i34i3000000000000000000000000000000000000000000000000
χ848-88-800-400004-44000000000000000000004i3−4i3000000000000000000000000000000000000000000000000

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