Finite Group Databasebeta

← Group #11713635

Character table — Group #11713635

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444466668888888812121212121212121212161616161616161616161616242424242424242424244848
order12222222444444444444366666664488888888121212121212121212121212224444888844
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111-1-1-1-111-1-1111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-11-1
χ611111111-1-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-111-1-111-11
χ711111111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-111-11
χ811111111-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-11111-1-11-1
χ922222222222222222222-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-1-1-1-1-1-1-1220000000000
χ10222222222222-2-2-2-22222-1-1-1-1-1-1-1-12200000000-1-1-1-111111111-2-20000000000
χ1122222222-2-2-2-222-2-22222-1-1-1-1-1-1-1-1-2-2000000001111-1-1-1-111112-20000000000
χ1222222222-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-2-20000000011111111-1-1-1-1-220000000000
χ1322-2-2-22-2200000000-22-22222-2-2-2-2200000022-2-200000000000000002-2000000
χ1422-2-2-22-2200000000-22-22222-2-2-2-22000000-2-2220000000000000000-22000000
χ152-22-2-2-22200000000-2-2222-2-222-2-220022-2-20000000000000000002-200000000
χ162-22-2-2-22200000000-2-2222-2-222-2-2200-2-222000000000000000000-2200000000
χ172-2-222-2-2222-2-200002-2-222-2-2-2-22222-20000000022-2-200000000000000000000
χ182-2-222-2-2222-2-200002-2-22-11111-1-1-12-200000000-1-111−i3−i3i3i3−i3−i3i3i3000000000000
χ192-2-222-2-2222-2-200002-2-22-11111-1-1-12-200000000-1-111i3i3−i3−i3i3i3−i3−i3000000000000
χ202-2-222-2-22-2-22200002-2-222-2-2-2-2222-2200000000-2-22200000000000000000000
χ212-2-222-2-22-2-22200002-2-22-11111-1-1-1-220000000011-1-1−i3−i3i3i3i3i3−i3−i3000000000000
χ222-2-222-2-22-2-22200002-2-22-11111-1-1-1-220000000011-1-1i3i3−i3−i3−i3−i3i3i3000000000000
χ232-2-22-222-22-22-22i−2i2i−2i0000-11-11-11-1100−i2i2−i2i2−i2i2−i2i21-11-1i−ii−ii−ii−i0000002−22−200
χ242-2-22-222-22-22-22i−2i2i−2i0000-11-11-11-1100i2−i2i2−i2i2−i2i2−i21-11-1i−ii−ii−ii−i000000−22−2200
χ252-2-22-222-22-22-2−2i2i−2i2i0000-11-11-11-1100−i2i2−i2i2−i2i2−i2i21-11-1−ii−ii−ii−ii000000−22−2200
χ262-2-22-222-22-22-2−2i2i−2i2i0000-11-11-11-1100i2−i2i2−i2i2−i2i2−i21-11-1−ii−ii−ii−ii0000002−22−200
χ272-2-22-222-2-22-222i−2i−2i2i0000-11-11-11-1100−i2i2−i2i2i2−i2i2−i2-11-11i−ii−i−ii−ii0000002−2−2200
χ282-2-22-222-2-22-222i−2i−2i2i0000-11-11-11-1100i2−i2i2−i2−i2i2−i2i2-11-11i−ii−i−ii−ii000000−222−200
χ292-2-22-222-2-22-22−2i2i2i−2i0000-11-11-11-1100−i2i2−i2i2i2−i2i2−i2-11-11−ii−iii−ii−i000000−222−200
χ302-2-22-222-2-22-22−2i2i2i−2i0000-11-11-11-1100i2−i2i2−i2−i2i2−i2i2-11-11−ii−iii−ii−i0000002−2−2200
χ313333333333333333-1-1-1-100000000-1-111111111000000000000-1-1-1-1-1-11111-1-1
χ323333333333333333-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1000000000000-1-11111-1-1-1-111
χ33333333333333-3-3-3-3-1-1-1-100000000-1-11111111100000000000011-1-1-1-1-1-1-1-111
χ34333333333333-3-3-3-3-1-1-1-100000000-1-1-1-1-1-1-1-1-1-10000000000001111111111-1-1
χ3533333333-3-3-3-333-3-3-1-1-1-100000000111111-1-1-1-1000000000000-11-1-11111-1-1-11
χ3633333333-3-3-3-333-3-3-1-1-1-10000000011-1-1-1-11111000000000000-1111-1-1-1-1111-1
χ3733333333-3-3-3-3-3-333-1-1-1-100000000111111-1-1-1-10000000000001-1-1-111-1-1111-1
χ3833333333-3-3-3-3-3-333-1-1-1-10000000011-1-1-1-111110000000000001-111-1-111-1-1-11
χ394444-4-4-4-44-4-440000000011-11-1-11-10000000000-111-13−3−333−3−33000000000000
χ404444-4-4-4-44-4-440000000011-11-1-11-10000000000-111-1−333−3−333−3000000000000
χ414444-4-4-4-44-4-4400000000-2-22-222-2200000000002-2-2200000000000000000000
χ424444-4-4-4-4-444-40000000011-11-1-11-100000000001-1-113−3−33−333−3000000000000
χ434444-4-4-4-4-444-40000000011-11-1-11-100000000001-1-11−333−33−3−33000000000000
χ444444-4-4-4-4-444-400000000-2-22-222-220000000000-222-200000000000000000000
χ4544-4-44-44-4000000000000-2-222-2-22200−2i22i22i2−2i20000000000000000000000000000
χ4644-4-44-44-4000000000000-2-222-2-222002i2−2i2−2i22i20000000000000000000000000000
χ4744-4-4-44-4400000000-44-44-2-2-22222-20000000000000000000000000000000000
χ484-44-444-4-4000000000000-22-2-22-222000000−2i22i22i2−2i2000000000000000000000000
χ494-44-444-4-4000000000000-22-2-22-2220000002i2−2i2−2i22i2000000000000000000000000
χ504-44-4-4-44400000000-4-444-222-2-222-20000000000000000000000000000000000
χ514-4-44-444-44-44-44i−4i4i−4i00001-11-11-11-10000000000-11-11−ii−ii−ii−ii000000000000
χ524-4-44-444-44-44-4−4i4i−4i4i00001-11-11-11-10000000000-11-11i−ii−ii−ii−i000000000000
χ534-4-44-444-4-44-444i−4i−4i4i00001-11-11-11-100000000001-11-1−ii−iii−ii−i000000000000
χ544-4-44-444-4-44-44−4i4i4i−4i00001-11-11-11-100000000001-11-1i−ii−i−ii−ii000000000000
χ5566-6-6-66-66000000002-22-20000000000000022-2-20000000000000000-22000000
χ5666-6-6-66-66000000002-22-200000000000000-2-22200000000000000002-2000000
χ576-66-6-6-6660000000022-2-2000000000022-2-2000000000000000000-2200000000
χ586-66-6-6-6660000000022-2-20000000000-2-2220000000000000000002-200000000
χ596-6-666-6-6666-6-60000-222-200000000-2200000000000000000000000000000000
χ606-6-666-6-66-6-6660000-222-2000000002-200000000000000000000000000000000
χ6188-8-88-88-800000000000022-2-222-2-20000000000000000000000000000000000
χ628-88-888-8-80000000000002-222-22-2-20000000000000000000000000000000000

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