Finite Group Databasebeta

← Group #11713231

Character table — Group #11713231

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444466668888888812121212121212121212161616161616161616161616242424242424242424244848
order1222222222224444444436666666448888888866661212121212121212244444888844
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
χ1322-2-22-22-20000000022-2-2222-2-2-22-20000002i2i−2i−2i00000000000000002i−2i000000
χ1422-2-22-22-20000000022-2-2222-2-2-22-2000000−2i−2i2i2i0000000000000000−2i2i000000
χ152-22-2-222-2000000002-22-22-2-222-22-2002i2i−2i−2i0000000000000000002i−2i00000000
χ162-22-2-222-2000000002-22-22-2-222-22-200−2i−2i2i2i000000000000000000−2i2i00000000
χ172-2-2222-2-222-2-22i−2i2i−2i0000-11-11-1-111002−22−22−22−211-1-1ii−i−iii−i−i000000−i2i2−i2i200
χ182-2-2222-2-222-2-22i−2i2i−2i0000-11-11-1-11100−22−22−22−2211-1-1ii−i−iii−i−i000000i2−i2i2−i200
χ192-2-2222-2-222-2-2−2i2i−2i2i0000-11-11-1-111002−22−22−22−211-1-1−i−iii−i−iii000000i2−i2i2−i200
χ202-2-2222-2-222-2-2−2i2i−2i2i0000-11-11-1-11100−22−22−22−2211-1-1−i−iii−i−iii000000−i2i2−i2i200
χ212-2-2222-2-2-2-2222i−2i−2i2i0000-11-11-1-111002−22−2−22−22-1-111ii−i−i−i−iii000000−i2i2i2−i200
χ222-2-2222-2-2-2-2222i−2i−2i2i0000-11-11-1-11100−22−222−22−2-1-111ii−i−i−i−iii000000i2−i2−i2i200
χ232-2-2222-2-2-2-222−2i2i2i−2i0000-11-11-1-111002−22−2−22−22-1-111−i−iiiii−i−i000000i2−i2−i2i200
χ242-2-2222-2-2-2-222−2i2i2i−2i0000-11-11-1-11100−22−222−22−2-1-111−i−iiiii−i−i000000−i2i2i2−i200
χ252-2-22-2-2222-22-200002-2-222-2-2-2-22222-2000000002-22-200000000000000000000
χ262-2-22-2-2222-22-200002-2-22-11111-1-1-12-200000000-11-11−i3i3−i3i3−i3i3−i3i3000000000000
χ272-2-22-2-2222-22-200002-2-22-11111-1-1-12-200000000-11-11i3−i3i3−i3i3−i3i3−i3000000000000
χ282-2-22-2-222-22-2200002-2-222-2-2-2-2222-2200000000-22-2200000000000000000000
χ292-2-22-2-222-22-2200002-2-22-11111-1-1-1-22000000001-11-1−i3i3−i3i3i3−i3i3−i3000000000000
χ302-2-22-2-222-22-2200002-2-22-11111-1-1-1-22000000001-11-1i3−i3i3−i3−i3i3−i3i3000000000000
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
χ394444-4-4-4-44-4-440000000011-11-11-1-10000000000-111-13−3−333−3−33000000000000
χ404444-4-4-4-44-4-440000000011-11-11-1-10000000000-111-1−333−3−333−3000000000000
χ414444-4-4-4-44-4-4400000000-2-22-22-22200000000002-2-2200000000000000000000
χ424444-4-4-4-4-444-40000000011-11-11-1-100000000001-1-113−3−33−333−3000000000000
χ434444-4-4-4-4-444-40000000011-11-11-1-100000000001-1-11−333−33−3−33000000000000
χ444444-4-4-4-4-444-400000000-2-22-22-2220000000000-222-200000000000000000000
χ4544-4-44-44-40000000044-4-4-2-2-2222-220000000000000000000000000000000000
χ4644-4-4-44-44000000000000-2-222-222-200−2i22i22i2−2i20000000000000000000000000000
χ4744-4-4-44-44000000000000-2-222-222-2002i2−2i2−2i22i20000000000000000000000000000
χ484-44-44-4-44000000000000-22-2-2222-2000000−2i22i22i2−2i2000000000000000000000000
χ494-44-44-4-44000000000000-22-2-2222-20000002i2−2i2−2i22i2000000000000000000000000
χ504-44-4-444-4000000004-44-4-222-2-22-220000000000000000000000000000000000
χ514-4-4444-4-444-4-44i−4i4i−4i00001-11-111-1-10000000000-1-111−i−iii−i−iii000000000000
χ524-4-4444-4-444-4-4−4i4i−4i4i00001-11-111-1-10000000000-1-111ii−i−iii−i−i000000000000
χ534-4-4444-4-4-4-4444i−4i−4i4i00001-11-111-1-1000000000011-1-1−i−iiiii−i−i000000000000
χ544-4-4444-4-4-4-444−4i4i4i−4i00001-11-111-1-1000000000011-1-1ii−i−i−i−iii000000000000
χ5566-6-66-66-600000000-2-222000000000000002i2i−2i−2i0000000000000000−2i2i000000
χ5666-6-66-66-600000000-2-22200000000000000−2i−2i2i2i00000000000000002i−2i000000
χ576-66-6-666-600000000-22-2200000000002i2i−2i−2i000000000000000000−2i2i00000000
χ586-66-6-666-600000000-22-220000000000−2i−2i2i2i0000000000000000002i−2i00000000
χ596-6-66-6-6666-66-60000-222-200000000-2200000000000000000000000000000000
χ606-6-66-6-666-66-660000-222-2000000002-200000000000000000000000000000000
χ6188-8-8-88-8800000000000022-2-22-2-220000000000000000000000000000000000
χ628-88-88-8-880000000000002-222-2-2-220000000000000000000000000000000000

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