Finite Group Databasebeta

← Group #11713874

Character table — Group #11713874

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111122333344668888881212161616161616242424242424242424243232323248484848
order122244222288442346668812122424242424444488886612124444
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-11-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111-11-111111111111-11-11111111-1-1-1-1-1-1-1-1
χ411111111111111-11-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-11111-1111-1-111-1-1-1-111-1111-1-1-1-111-1-11-11-1
χ61111111111-1-11111-1111-1-111-1-1-1-11-1-1-1-1-1111111-1-1-11-11
χ71111111111-1-111-111111-1-111-1-1-1-1-111111-1-1-1-1-1-111-11-11
χ81111111111-1-111-111111-1-111-1-1-1-1-1-11-1-1-11111-1-1111-11-1
χ9222222222222222-12-1-1-122-1-1-1-1-1-12020000000-1-1-1-10000
χ1022222222222222-2-1-2-1-1-122-1-1-1-1-1-1-20-2000000011110000
χ112222222222-2-2222-1-2-1-1-1-2-2-1-1111120-20000000-1-1110000
χ122222222222-2-222-2-12-1-1-1-2-2-1-11111-202000000011-1-10000
χ132222-2-2222200-2-202022200-2-20000020-22-2000000000000
χ142222-2-2222200-2-202022200-2-200000-202-22000000000000
χ152-22-22-22-22-2002-2020-22-200-2200000000002i−2i2i−2i00000000
χ162-22-22-22-22-2002-2020-22-200-220000000000−2i2i−2i2i00000000
χ172-22-2-222-22-22i−2i-22020-22-22i−2i2-22i2i−2i−2i000000000000000000
χ182-22-2-222-22-22i−2i-220-101-112i−2i-11−i−iii0000000000−i3i33−30000
χ192-22-2-222-22-22i−2i-220-101-112i−2i-11−i−iii0000000000i3−i3−330000
χ202-22-2-222-22-2−2i2i-22020-22-2−2i2i2-2−2i−2i2i2i000000000000000000
χ212-22-2-222-22-2−2i2i-220-101-11−2i2i-11ii−i−i0000000000−i3i3−330000
χ222-22-2-222-22-2−2i2i-220-101-11−2i2i-11ii−i−i0000000000i3−i33−30000
χ23333333-1-1-1-133-1-1303000-1-1000000-11-11-1-111-1-1000011-1-1
χ24333333-1-1-1-133-1-1303000-1-1000000-1-1-1-111-1-1110000-1-111
χ25333333-1-1-1-133-1-1-30-3000-1-10000001111-1-111-1-10000-1-111
χ26333333-1-1-1-133-1-1-30-3000-1-10000001-11-111-1-111000011-1-1
χ27333333-1-1-1-1-3-3-1-130-300011000000-1111-1-1-1-11100001-1-11
χ28333333-1-1-1-1-3-3-1-130-300011000000-1-11-11111-1-10000-111-1
χ29333333-1-1-1-1-3-3-1-1-3030001100000011-11-1-1-1-1110000-111-1
χ30333333-1-1-1-1-3-3-1-1-303000110000001-1-1-11111-1-100001-1-11
χ314444-4-4444400-4-40-20-2-2-200220000000000000000000000
χ3244-4-40044-4-400000404-4-400000000000000000000000000
χ3344-4-40044-4-400000-20-22200006−66−6000000000000000000
χ3444-4-40044-4-400000-20-2220000−66−66000000000000000000
χ354-44-44-44-44-4004-40-202-22002-20000000000000000000000
χ364-4-44004-4-440000040-4-4400000000000000000000000000
χ374-4-44004-4-4400000-2022-20000i6−i6−i6i6000000000000000000
χ384-4-44004-4-4400000-2022-20000−i6i6i6−i6000000000000000000
χ396666-6-6-2-2-2-2002200000000000000020-2-22000000000000
χ406666-6-6-2-2-2-20022000000000000000-2022-2000000000000
χ416-66-66-6-22-2200-22000000000000000000002i−2i−2i2i00000000
χ426-66-66-6-22-2200-2200000000000000000000−2i2i2i−2i00000000
χ436-66-6-66-22-226i−6i2-2000000−2i2i000000000000000000000000
χ446-66-6-66-22-22−6i6i2-20000002i−2i000000000000000000000000
χ451212-12-1200-4-444000000000000000000000000000000000000
χ4612-12-121200-444-4000000000000000000000000000000000000

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