Finite Group Databasebeta

← Group #11713666

Character table — Group #11713666

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122222233336666668888881212121212121212121212121212121216161616161624243232323248484848
order12224444442222444444344666888888888888888812121212121244121212124444
χ11111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ3111111111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ51111-1-1-1-1111111-1-1-1-11111-11111111-1-1-1-11111-1-1-1-111-1-1-1-11-111-1-11-11-1
χ61111-1-1-1-1111111-1-1-1-11111-1111-1-1-1-11111-1-1-1-1111111-1-1-1-11-111-1-1-11-11
χ71111-1-1-1-1111111-1-1-1-1111-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-111-11-11
χ81111-1-1-1-1111111-1-1-1-1111-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-11-1-1111-11-1
χ922222222222222222222-122-1-1-10000000000000000-1-1-1-1-1-122-1-1-1-10000
χ1022222222222222222222-1-2-2-1-1-10000000000000000-1-1-1-1-1-1-2-211110000
χ11222222-2-2-2-2222222-2-2-2-22002220000000000000000-2-222-2-20000000000
χ12222222-2-2-2-2222222-2-2-2-2-100-1-1-1000000000000000011-1-11100−i3i3−i3i30000
χ13222222-2-2-2-2222222-2-2-2-2-100-1-1-1000000000000000011-1-11100i3−i3i3−i30000
χ142222-2-222-2-22222-2-222-2-22002220000000000000000-2-2-2-2220000000000
χ152222-2-222-2-22222-2-222-2-2-100-1-1-100000000000000001111-1-100−i3i3i3−i30000
χ162222-2-222-2-22222-2-222-2-2-100-1-1-100000000000000001111-1-100i3−i3−i3i30000
χ172222-2-2-2-2222222-2-2-2-222-12-2-1-1-10000000000000000-1-111112-2-1-1110000
χ182222-2-2-2-2222222-2-2-2-222-1-22-1-1-10000000000000000-1-11111-2211-1-10000
χ1922-2-200002-222-2-200002-22002-2-2000022-2-2000022-2-22-200000000000000
χ2022-2-200002-222-2-200002-22002-2-20000-2-2220000-2-2222-200000000000000
χ2122-2-20000-2222-2-20000-222002-2-222-2-2000022-2-20000-2200000000000000
χ2222-2-20000-2222-2-20000-222002-2-2-2-2220000-2-2220000-2200000000000000
χ232-22-2002i−2i002-22-2002i−2i00200-22-22−22−2−i2i2−i2i22−22−2−i2i2−i2i200002i−2i0000000000
χ242-22-2002i−2i002-22-2002i−2i00200-22-2−22−22i2−i2i2−i2−22−22i2−i2i2−i200002i−2i0000000000
χ252-22-200−2i2i002-22-200−2i2i00200-22-22−22−2i2−i2i2−i22−22−2i2−i2i2−i20000−2i2i0000000000
χ262-22-200−2i2i002-22-200−2i2i00200-22-2−22−22−i2i2−i2i2−22−22−i2i2−i2i20000−2i2i0000000000
χ272-2-222i−2i00002-2-222i−2i0000200-2-222−2−22−i2i2i2−i22−2−22−i2i2i2−i2002i−2i000000000000
χ282-2-222i−2i00002-2-222i−2i0000200-2-22−222−2i2−i2−i2i2−222−2i2−i2−i2i2002i−2i000000000000
χ292-2-22−2i2i00002-2-22−2i2i0000200-2-222−2−22i2−i2−i2i22−2−22i2−i2−i2i200−2i2i000000000000
χ302-2-22−2i2i00002-2-22−2i2i0000200-2-22−222−2−i2i2i2−i2−222−2−i2i2i2−i200−2i2i000000000000
χ313333333333-1-1-1-1-1-1-1-1-1-103300011111111-1-1-1-1-1-1-1-1000000-1-1000011-1-1
χ323333333333-1-1-1-1-1-1-1-1-1-1033000-1-1-1-1-1-1-1-111111111000000-1-10000-1-111
χ333333333333-1-1-1-1-1-1-1-1-1-10-3-300011111111-1-1-1-1-1-1-1-1000000110000-1-111
χ343333333333-1-1-1-1-1-1-1-1-1-10-3-3000-1-1-1-1-1-1-1-11111111100000011000011-1-1
χ353333-3-3-3-333-1-1-1-11111-1-103-30001111-1-1-1-1-1-1-1-11111000000-1100001-1-11
χ363333-3-3-3-333-1-1-1-11111-1-103-3000-1-1-1-111111111-1-1-1-1000000-110000-111-1
χ373333-3-3-3-333-1-1-1-11111-1-10-330001111-1-1-1-1-1-1-1-111110000001-10000-111-1
χ383333-3-3-3-333-1-1-1-11111-1-10-33000-1-1-1-111111111-1-1-1-10000001-100001-1-11
χ3944-4-400004-444-4-400004-4-200-2220000000000000000-2200000000000000
χ4044-4-40000-4444-4-40000-44-200-22200000000000000002-200000000000000
χ414-44-4004i−4i004-44-4004i−4i00-2002-2200000000000000000000−2i2i0000000000
χ424-44-400−4i4i004-44-400−4i4i00-2002-22000000000000000000002i−2i0000000000
χ434-4-444i−4i00004-4-444i−4i0000-20022-2000000000000000000−2i2i000000000000
χ444-4-44−4i4i00004-4-44−4i4i0000-20022-20000000000000000002i−2i000000000000
χ45666666-6-6-6-6-2-2-2-2-2-2222200000000000000000000000000000000000000
χ466666-6-666-6-6-2-2-2-222-2-22200000000000000000000000000000000000000
χ4766-6-600006-6-2-2220000-22000000000022-2-20000-2-2220000000000000000
χ4866-6-600006-6-2-2220000-220000000000-2-222000022-2-20000000000000000
χ4966-6-60000-66-2-22200002-200000022-2-20000-2-22200000000000000000000
χ5066-6-60000-66-2-22200002-2000000-2-222000022-2-200000000000000000000
χ516-66-6006i−6i00-22-2200−2i2i000000002−22−2−i2i2−i2i2−22−22i2−i2i2−i20000000000000000
χ526-66-6006i−6i00-22-2200−2i2i00000000−22−22i2−i2i2−i22−22−2−i2i2−i2i20000000000000000
χ536-66-600−6i6i00-22-22002i−2i000000002−22−2i2−i2i2−i2−22−22−i2i2−i2i20000000000000000
χ546-66-600−6i6i00-22-22002i−2i00000000−22−22−i2i2−i2i22−22−2i2−i2i2−i20000000000000000
χ556-6-666i−6i0000-222-2−2i2i00000000002−2−22−i2i2i2−i2−222−2i2−i2−i2i20000000000000000
χ566-6-666i−6i0000-222-2−2i2i0000000000−222−2i2−i2−i2i22−2−22−i2i2i2−i20000000000000000
χ576-6-66−6i6i0000-222-22i−2i00000000002−2−22i2−i2−i2i2−222−2−i2i2i2−i20000000000000000
χ586-6-66−6i6i0000-222-22i−2i0000000000−222−2−i2i2i2−i22−2−22i2−i2−i2i20000000000000000

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