Finite Group Databasebeta

← Group #10827325

Character table — Group #10827325

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222222222444444444444444444488888888888888888888888888888888882424242424242424242424244848
order122222344444466612121212224444466666612121212121222444466668888121212121212121212121212242424242424242424444444444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1
χ71111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-11111-1-1
χ81111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-111-1-1-1-111
χ911111111-1-1111111-1-1-1-1-1-11111-111-1-1-1-1111-1-1111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-111-1-11-1
χ1011111111-1-1111111-1-1-1-1-1-11111-111-1-1-1-1111-1-1111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-111-1-111-11
χ1111111111-1-1111111-1-1-1-1-1-11111-111-1-1-1-1111-1-11-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-111-11
χ1211111111-1-1111111-1-1-1-1-1-11111-111-1-1-1-1111-1-11-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-11-1
χ1311111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1111-1
χ1411111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-11111-1-1-111-1-1-11
χ1511111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-11-1-11111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-11-1-1-1-111111-1-1-11
χ1611111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-11-1-11111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-11111-1-1-1-1-1111-1
χ172222222-222-2-2-22222222-2-20000222-2-2-2-2-2-2-222-200000000000000000000000000000000000002-202-2000000
χ182222222-222-2-2-22222222-2-20000222-2-2-2-2-2-2-222-20000000000000000000000000000000000000-220-22000000
χ192222222-2-2-2-2-2-2222-2-2-2-2220000-2222222-2-2-2-2-2-200000000000000000000000000000000000002-20-22000000
χ202222222-2-2-2-2-2-2222-2-2-2-2220000-2222222-2-2-2-2-2-20000000000000000000000000000000000000-2202-2000000
χ21222222-1222222-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ22222222-1222222-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-21111-2-2-2-2-1-1-1-1-1-1-1-111111111111100000000000000
χ23222222-1222222-1-1-1-1-1-1-122-2-2-2-22-1-1-1-1-1-1-1-1-1-1-1-122-2-222-1-1-1-1-2-2-2-211111111-1-1-1-11111111100000000000000
χ24222222-1222222-1-1-1-1-1-1-122-2-2-2-22-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211112222111111111111-1-1-1-1-1-1-1-100000000000000
χ25222222-12-2-2222-1-1-11111-2-22222-2-1-11111-1-1-111-122-2-2-2-2-1-1-1-122-2-2-1-1-1-111111111-1-1-1-1111100000000000000
χ26222222-12-2-2222-1-1-11111-2-22222-2-1-11111-1-1-111-1-2-2-2-2221111-2-222-1-1-1-11111-1-1-1-11111-1-1-1-100000000000000
χ27222222-12-2-2222-1-1-11111-2-2-2-2-2-2-2-1-11111-1-1-111-12222-2-2-1-1-1-1-2-2221111-1-1-1-111111111-1-1-1-100000000000000
χ28222222-12-2-2222-1-1-11111-2-2-2-2-2-2-2-1-11111-1-1-111-1-2-22222111122-2-21111-1-1-1-1-1-1-1-1-1-1-1-1111100000000000000
χ292222-2-222222-2-222222222-222-2-2-2-2-222-2-22-2-2-2-2200-22000000000022-2-222-2-200000000000000000000000000
χ302222-2-222222-2-222222222-2-2-222-2-2-222-2-22-2-2-2-22002-20000000000-2-222-2-22200000000000000000000000000
χ312222-2-222-2-22-2-2222-2-2-2-2-2222-2-22-2-2-2-2222-2-2222002-2000000000022-2-2-2-22200000000000000000000000000
χ322222-2-222-2-22-2-2222-2-2-2-2-22-2-2222-2-2-2-2222-2-222200-220000000000-2-22222-2-200000000000000000000000000
χ332222-2-22-222-2222222222-220000-2-2-2-2-222-222-2-2-2000000000000000000000000000000000022-200-200000000
χ342222-2-22-222-2222222222-220000-2-2-2-2-222-222-2-2-20000000000000000000000000000000000-2-2200200000000
χ352222-2-22-2-2-2-222222-2-2-2-22-200002-2-222-2-2-22222-200000000000000000000000000000000002-2200-200000000
χ362222-2-22-2-2-2-222222-2-2-2-22-200002-2-222-2-2-22222-20000000000000000000000000000000000-22-200200000000
χ372222-2-2-12222-2-2-1-1-1-1-1-1-12-222-2-2-211-1-111-11111-100-2200−i3−i3i3i30000-1-111-1-111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000
χ382222-2-2-12222-2-2-1-1-1-1-1-1-12-222-2-2-211-1-111-11111-100-2200i3i3−i3−i30000-1-111-1-111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000
χ392222-2-2-12222-2-2-1-1-1-1-1-1-12-2-2-222-211-1-111-11111-1002-200−i3−i3i3i3000011-1-111-1-1−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000
χ402222-2-2-12222-2-2-1-1-1-1-1-1-12-2-2-222-211-1-111-11111-1002-200i3i3−i3−i3000011-1-111-1-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000
χ412222-2-2-12-2-22-2-2-1-1-11111-2222-2-221111-1-1-111-1-1-1002-200−i3−i3i3i30000-1-11111-1-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i300000000000000
χ422222-2-2-12-2-22-2-2-1-1-11111-2222-2-221111-1-1-111-1-1-1002-200i3i3−i3−i30000-1-11111-1-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i300000000000000
χ432222-2-2-12-2-22-2-2-1-1-11111-22-2-22221111-1-1-111-1-1-100-2200−i3−i3i3i3000011-1-1-1-111i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000000000
χ442222-2-2-12-2-22-2-2-1-1-11111-22-2-22221111-1-1-111-1-1-100-2200i3i3−i3−i3000011-1-1-1-111−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000000000
χ452-2-222-22200-22-2-2-220000002i−2i2i−2i02-2000022-200-200002-20000002i−2i2i−2i2i−2i00002-22-200002i−2i2i−2i00000000000000
χ462-2-222-22200-22-2-2-220000002i−2i2i−2i02-2000022-200-20000-22000000−2i2i2i−2i2i−2i0000-22-220000−2i2i−2i2i00000000000000
χ472-2-222-22200-22-2-2-22000000−2i2i−2i2i02-2000022-200-200002-2000000−2i2i−2i2i−2i2i00002-22-20000−2i2i−2i2i00000000000000
χ482-2-222-22200-22-2-2-22000000−2i2i−2i2i02-2000022-200-20000-220000002i−2i−2i2i−2i2i0000-22-2200002i−2i2i−2i00000000000000
χ492-2-222-2-1200-22-211-1−i3−i3i3i3002i−2i2i−2i0-11−i3i3−i3i3-1-11−i3i3100002-2−i3i3−i3i3002i−2i−ii−ii3−33−3-11-113−33−3−ii−ii00000000000000
χ502-2-222-2-1200-22-211-1−i3−i3i3i3002i−2i2i−2i0-11−i3i3−i3i3-1-11−i3i310000-22i3−i3i3−i300−2i2i−ii−ii3−33−31-11-1−33−33i−ii−i00000000000000
χ512-2-222-2-1200-22-211-1−i3−i3i3i300−2i2i−2i2i0-11−i3i3−i3i3-1-11−i3i3100002-2−i3i3−i3i300−2i2ii−ii−i−33−33-11-11−33−33i−ii−i00000000000000
χ522-2-222-2-1200-22-211-1−i3−i3i3i300−2i2i−2i2i0-11−i3i3−i3i3-1-11−i3i310000-22i3−i3i3−i3002i−2ii−ii−i−33−331-11-13−33−3−ii−ii00000000000000
χ532-2-222-2-1200-22-211-1i3i3−i3−i3002i−2i2i−2i0-11i3−i3i3−i3-1-11i3−i3100002-2i3−i3i3−i3002i−2i−ii−ii−33−33-11-11−33−33−ii−ii00000000000000
χ542-2-222-2-1200-22-211-1i3i3−i3−i3002i−2i2i−2i0-11i3−i3i3−i3-1-11i3−i310000-22−i3i3−i3i300−2i2i−ii−ii−33−331-11-13−33−3i−ii−i00000000000000
χ552-2-222-2-1200-22-211-1i3i3−i3−i300−2i2i−2i2i0-11i3−i3i3−i3-1-11i3−i3100002-2i3−i3i3−i300−2i2ii−ii−i3−33−3-11-113−33−3i−ii−i00000000000000
χ562-2-222-2-1200-22-211-1i3i3−i3−i300−2i2i−2i2i0-11i3−i3i3−i3-1-11i3−i310000-22−i3i3−i3i3002i−2ii−ii−i3−33−31-11-1−33−33−ii−ii00000000000000
χ572-2-22-222200-2-22-2-220000002i−2i−2i2i0-2200002-2200-22-200002-2-222i−2i002i−2i−2i2i000000002i−2i−2i2i000000000000000000
χ582-2-22-222200-2-22-2-220000002i−2i−2i2i0-2200002-2200-2-220000-222-2−2i2i002i−2i−2i2i00000000−2i2i2i−2i000000000000000000
χ592-2-22-222200-2-22-2-22000000−2i2i2i−2i0-2200002-2200-22-200002-2-22−2i2i00−2i2i2i−2i00000000−2i2i2i−2i000000000000000000
χ602-2-22-222200-2-22-2-22000000−2i2i2i−2i0-2200002-2200-2-220000-222-22i−2i00−2i2i2i−2i000000002i−2i−2i2i000000000000000000
χ612-2-22-22-1200-2-2211-1−i3−i3i3i3002i−2i−2i2i01-1−i3i3i3−i3-11-1i3−i312-20000-111-12i−2i00−iii−i3−3−33−i3i3i3−i3−iii−i3−3−3300000000000000
χ622-2-22-22-1200-2-2211-1−i3−i3i3i3002i−2i−2i2i01-1−i3i3i3−i3-11-1i3−i31-2200001-1-11−2i2i00−iii−i3−3−33i3−i3−i3i3i−i−ii−333−300000000000000
χ632-2-22-22-1200-2-2211-1−i3−i3i3i300−2i2i2i−2i01-1−i3i3i3−i3-11-1i3−i312-20000-111-1−2i2i00i−i−ii−333−3−i3i3i3−i3i−i−ii−333−300000000000000
χ642-2-22-22-1200-2-2211-1−i3−i3i3i300−2i2i2i−2i01-1−i3i3i3−i3-11-1i3−i31-2200001-1-112i−2i00i−i−ii−333−3i3−i3−i3i3−iii−i3−3−3300000000000000
χ652-2-22-22-1200-2-2211-1i3i3−i3−i3002i−2i−2i2i01-1i3−i3−i3i3-11-1−i3i312-20000-111-12i−2i00−iii−i−333−3i3−i3−i3i3−iii−i−333−300000000000000
χ662-2-22-22-1200-2-2211-1i3i3−i3−i3002i−2i−2i2i01-1i3−i3−i3i3-11-1−i3i31-2200001-1-11−2i2i00−iii−i−333−3−i3i3i3−i3i−i−ii3−3−3300000000000000
χ672-2-22-22-1200-2-2211-1i3i3−i3−i300−2i2i2i−2i01-1i3−i3−i3i3-11-1−i3i312-20000-111-1−2i2i00i−i−ii3−3−33i3−i3−i3i3i−i−ii3−3−3300000000000000
χ682-2-22-22-1200-2-2211-1i3i3−i3−i300−2i2i2i−2i01-1i3−i3−i3i3-11-1−i3i31-2200001-1-112i−2i00i−i−ii3−3−33−i3i3i3−i3−iii−i−333−300000000000000
χ69444444-2-444-4-4-4-2-2-2-2-2-2-2-4-400004-2-22222222-2-22000000000000000000000000000000000000000000000000
χ70444444-2-4-4-4-4-4-4-2-2-22222440000-4-2-2-2-2-2-2222222000000000000000000000000000000000000000000000000
χ714444-4-4-2-444-444-2-2-2-2-2-2-2-440000-42222-2-22-2-2222000000000000000000000000000000000000000000000000
χ724444-4-4-2-4-4-4-444-2-2-222224-40000422-2-2222-2-2-2-22000000000000000000000000000000000000000000000000
χ734-44-400404i−4i0004-4-44i−4i4i−4i00000000000000000000000000000000000000000000000000000000000002-22i−2i00
χ744-44-400404i−4i0004-4-44i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000-22−2i2i00
χ754-44-40040−4i4i0004-4-4−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000002-2−2i2i00
χ764-44-40040−4i4i0004-4-4−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000-222i−2i00
χ774-4-444-44-4004-44-4-44000000000004-40000-4-44004000000000000000000000000000000000000000000000000
χ784-4-444-4-2-4004-4422-2−2i3−2i32i32i30000000-222i3−2i32i3−2i322-2−2i32i3-2000000000000000000000000000000000000000000000000
χ794-4-444-4-2-4004-4422-22i32i3−2i3−2i30000000-22−2i32i3−2i32i322-22i3−2i3-2000000000000000000000000000000000000000000000000
χ804-4-44-444-40044-4-4-4400000000000-440000-44-4004000000000000000000000000000000000000000000000000
χ814-4-44-44-2-40044-422-2−2i3−2i32i32i300000002-22i3−2i3−2i32i32-222i3−2i3-2000000000000000000000000000000000000000000000000
χ824-4-44-44-2-40044-422-22i32i3−2i3−2i300000002-2−2i32i32i3−2i32-22−2i32i3-2000000000000000000000000000000000000000000000000
χ8388-8-8008000000-88-800000000000000000000000000000000000000000000000000000000000000000000000
χ8488-8-800-40000004-4443−43−43430000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-800-40000004-44−434343−430000000000000000000000000000000000000000000000000000000000000000000
χ868-88-800-408i−8i000-444−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000
χ878-88-800-40−8i8i000-4444i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000

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