Finite Group Databasebeta

← Group #11713620

Character table — Group #11713620

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122222233336666668888881212121212121212121212121212121216161616161624243232323248484848
order122244444422224444442346668888888888888888121212121212246612122444
χ11111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ311111111111111111111-11-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ51111-1-1-1-1111111-1-1-1-11111-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111-111-1-11-11-1
χ61111-1-1-1-1111111-1-1-1-11111-1111-1-1-1-11111-1-1-1-11111-1-1-1-1111-111-1-1-11-11
χ71111-1-1-1-1111111-1-1-1-111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-111-11-11
χ81111-1-1-1-1111111-1-1-1-111-111111-1-1-1-11111-1-1-1-11111-1-1-1-111-11-1-1111-11-1
χ9222222222222222222222-12-1-1-10000000000000000-1-1-1-1-1-122-1-1-1-10000
χ1022222222222222222222-2-1-2-1-1-10000000000000000-1-1-1-1-1-1-2-211110000
χ11222222-2-2-2-2222222-2-2-2-2020222000000000000000022-2-2-2-20000000000
χ12222222-2-2-2-2222222-2-2-2-20-10-1-1-10000000000000000-1-1111100−i3i3−i3i30000
χ13222222-2-2-2-2222222-2-2-2-20-10-1-1-10000000000000000-1-1111100i3−i3i3−i30000
χ142222-2-222-2-22222-2-222-2-20202220000000000000000-2-222-2-20000000000
χ152222-2-222-2-22222-2-222-2-20-10-1-1-1000000000000000011-1-11100−i3i3i3−i30000
χ162222-2-222-2-22222-2-222-2-20-10-1-1-1000000000000000011-1-11100i3−i3−i3i30000
χ172222-2-2-2-2222222-2-2-2-2222-1-2-1-1-100000000000000001111-1-12-2-1-1110000
χ182222-2-2-2-2222222-2-2-2-222-2-12-1-1-100000000000000001111-1-1-2211-1-10000
χ1922-2-2002i−2i002-22-2002i−2i000202-2-222−2−2−i2−i2i2i222−2−2−i2−i2i2i2002i−2i000000000000
χ2022-2-2002i−2i002-22-2002i−2i000202-2-2−2−222i2i2−i2−i2−2−222i2i2−i2−i2002i−2i000000000000
χ2122-2-200−2i2i002-22-200−2i2i000202-2-222−2−2i2i2−i2−i222−2−2i2i2−i2−i200−2i2i000000000000
χ2222-2-200−2i2i002-22-200−2i2i000202-2-2−2−222−i2−i2i2i2−2−222−i2−i2i2i200−2i2i000000000000
χ232-22-22i−2i0000-222-22i−2i0000020-22-22−22−2−i2i2−i2i22−22−2−i2i2−i2i22i−2i00000000000000
χ242-22-22i−2i0000-222-22i−2i0000020-22-2−22−22i2−i2i2−i2−22−22i2−i2i2−i22i−2i00000000000000
χ252-22-2−2i2i0000-222-2−2i2i0000020-22-22−22−2i2−i2i2−i22−22−2i2−i2i2−i2−2i2i00000000000000
χ262-22-2−2i2i0000-222-2−2i2i0000020-22-2−22−22−i2i2−i2i2−22−22−i2i2−i2i2−2i2i00000000000000
χ272-2-2200002-2-2-22200002-2020-2-2200002-2-2200002-2-2200002-20000000000
χ282-2-2200002-2-2-22200002-2020-2-220000-222-20000-222-200002-20000000000
χ292-2-220000-22-2-2220000-22020-2-222-2-2200002-2-2200000000-220000000000
χ302-2-220000-22-2-2220000-22020-2-22-222-20000-222-200000000-220000000000
χ313333333333-1-1-1-1-1-1-1-1-1-130300011111111-1-1-1-1-1-1-1-1000000-1-1000011-1-1
χ323333333333-1-1-1-1-1-1-1-1-1-1303000-1-1-1-1-1-1-1-111111111000000-1-10000-1-111
χ333333333333-1-1-1-1-1-1-1-1-1-1-30-300011111111-1-1-1-1-1-1-1-1000000110000-1-111
χ343333333333-1-1-1-1-1-1-1-1-1-1-30-3000-1-1-1-1-1-1-1-11111111100000011000011-1-1
χ353333-3-3-3-333-1-1-1-11111-1-130-30001111-1-1-1-1-1-1-1-11111000000-1100001-1-11
χ363333-3-3-3-333-1-1-1-11111-1-130-3000-1-1-1-111111111-1-1-1-1000000-110000-111-1
χ373333-3-3-3-333-1-1-1-11111-1-1-3030001111-1-1-1-1-1-1-1-111110000001-10000-111-1
χ383333-3-3-3-333-1-1-1-11111-1-1-303000-1-1-1-111111111-1-1-1-10000001-100001-1-11
χ3944-4-4004i−4i004-44-4004i−4i000-20-222000000000000000000−2i2i000000000000
χ4044-4-400−4i4i004-44-400−4i4i000-20-2220000000000000000002i−2i000000000000
χ414-44-44i−4i0000-444-44i−4i00000-202-220000000000000000−2i2i00000000000000
χ424-44-4−4i4i0000-444-4−4i4i00000-202-2200000000000000002i−2i00000000000000
χ434-4-4400004-4-4-44400004-40-2022-200000000000000000000-220000000000
χ444-4-440000-44-4-4440000-440-2022-2000000000000000000002-20000000000
χ45666666-6-6-6-6-2-2-2-2-2-2222200000000000000000000000000000000000000
χ466666-6-666-6-6-2-2-2-222-2-22200000000000000000000000000000000000000
χ4766-6-6006i−6i00-22-2200−2i2i0000000022−2−2−i2−i2i2i2−2−222i2i2−i2−i20000000000000000
χ4866-6-6006i−6i00-22-2200−2i2i00000000−2−222i2i2−i2−i222−2−2−i2−i2i2i20000000000000000
χ4966-6-600−6i6i00-22-22002i−2i0000000022−2−2i2i2−i2−i2−2−222−i2−i2i2i20000000000000000
χ5066-6-600−6i6i00-22-22002i−2i00000000−2−222−i2−i2i2i222−2−2i2i2−i2−i20000000000000000
χ516-66-66i−6i00002-2-22−2i2i00000000002−22−2−i2i2−i2i2−22−22i2−i2i2−i20000000000000000
χ526-66-66i−6i00002-2-22−2i2i0000000000−22−22i2−i2i2−i22−22−2−i2i2−i2i20000000000000000
χ536-66-6−6i6i00002-2-222i−2i00000000002−22−2i2−i2i2−i2−22−22−i2i2−i2i20000000000000000
χ546-66-6−6i6i00002-2-222i−2i0000000000−22−22−i2i2−i2i22−22−2i2−i2i2−i20000000000000000
χ556-6-6600006-622-2-20000-2200000000002-2-220000-222-20000000000000000
χ566-6-6600006-622-2-20000-220000000000-222-200002-2-220000000000000000
χ576-6-660000-6622-2-200002-20000002-2-220000-222-200000000000000000000
χ586-6-660000-6622-2-200002-2000000-222-200002-2-2200000000000000000000

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