Finite Group Databasebeta

← Group #11713922

Character table — Group #11713922

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444466668888888812121212121212121212161616161616161616161616242424242424242424244848
order12222222444444444444366666664488888888121212121212121212121212444444888824
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
χ511111111-1-1-1-111-1-1111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-111-11
χ611111111-1-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-11111-1-11-1
χ711111111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-111-1-11-1
χ811111111-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-111-11
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
χ1122222222-2-2-2-222-2-22222-1-1-1-1-1-1-1-1-2-2000000001111-1-1-1-11111-220000000000
χ1222222222-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-2-20000000011111111-1-1-1-12-20000000000
χ1322-22-2-2-2200000000-22-222222-2-2-2-2002i2i−2i−2i0000000000000000002i−2i00000000
χ1422-22-2-2-2200000000-22-222222-2-2-2-200−2i−2i2i2i000000000000000000−2i2i00000000
χ1522-2-22-22-22i2i−2i−2i2i−2i2-20000-111-1-111-100−i2i2−i2i222−2−2ii−i−iii−i−i11-1-1000000−i2i22−200
χ1622-2-22-22-22i2i−2i−2i2i−2i2-20000-111-1-111-100i2−i2i2−i2−2−222ii−i−iii−i−i11-1-1000000i2−i2−2200
χ1722-2-22-22-22i2i−2i−2i−2i2i-220000-111-1-111-100−i2i2−i2i222−2−2ii−i−i−i−iii-1-111000000i2−i2−2200
χ1822-2-22-22-22i2i−2i−2i−2i2i-220000-111-1-111-100i2−i2i2−i2−2−222ii−i−i−i−iii-1-111000000−i2i22−200
χ1922-2-22-22-2−2i−2i2i2i2i−2i-220000-111-1-111-100−i2i2−i2i2−2−222−i−iiiii−i−i-1-111000000i2−i22−200
χ2022-2-22-22-2−2i−2i2i2i2i−2i-220000-111-1-111-100i2−i2i2−i222−2−2−i−iiiii−i−i-1-111000000−i2i2−2200
χ2122-2-22-22-2−2i−2i2i2i−2i2i2-20000-111-1-111-100−i2i2−i2i2−2−222−i−iii−i−iii11-1-1000000−i2i2−2200
χ2222-2-22-22-2−2i−2i2i2i−2i2i2-20000-111-1-111-100i2−i2i2−i222−2−2−i−iii−i−iii11-1-1000000i2−i22−200
χ232-222-2-22-22i−2i2i−2i0000-222-222-2-222-2-22i−2i000000002i−2i2i−2i00000000000000000000
χ242-222-2-22-22i−2i2i−2i0000-222-2-1-111-1-1112i−2i00000000−ii−ii−i3i3−i3i33−33−3000000000000
χ252-222-2-22-22i−2i2i−2i0000-222-2-1-111-1-1112i−2i00000000−ii−iii3−i3i3−i3−33−33000000000000
χ262-222-2-22-2−2i2i−2i2i0000-222-222-2-222-2-2−2i2i00000000−2i2i−2i2i00000000000000000000
χ272-222-2-22-2−2i2i−2i2i0000-222-2-1-111-1-111−2i2i00000000i−ii−i−i3i3−i3i3−33−33000000000000
χ282-222-2-22-2−2i2i−2i2i0000-222-2-1-111-1-111−2i2i00000000i−ii−ii3−i3i3−i33−33−3000000000000
χ292-2-2222-2-20000000022-2-222-2-2-2-2220000002i−2i2i−2i00000000000000002i−2i000000
χ302-2-2222-2-20000000022-2-222-2-2-2-222000000−2i2i−2i2i0000000000000000−2i2i000000
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
χ3533333333-3-3-3-333-3-3-1-1-1-100000000111111-1-1-1-10000000000001-1-1-111-1-1111-1
χ3633333333-3-3-3-333-3-3-1-1-1-10000000011-1-1-1-111110000000000001-111-1-111-1-1-11
χ3733333333-3-3-3-3-3-333-1-1-1-100000000111111-1-1-1-1000000000000-11-1-11111-1-1-11
χ3833333333-3-3-3-3-3-333-1-1-1-10000000011-1-1-1-11111000000000000-1111-1-1-1-1111-1
χ39444-4-44-4-4000000000000-222-22-2-220022−22−22220000000000000000000000000000
χ40444-4-44-4-4000000000000-222-22-2-2200−222222−220000000000000000000000000000
χ4144-44-4-4-4400000000-44-44-2-2-2-222220000000000000000000000000000000000
χ4244-4-44-44-44i4i−4i−4i4i−4i4-400001-1-111-1-110000000000−i−iii−i−iii-1-111000000000000
χ4344-4-44-44-44i4i−4i−4i−4i4i-4400001-1-111-1-110000000000−i−iiiii−i−i11-1-1000000000000
χ4444-4-44-44-4−4i−4i4i4i4i−4i-4400001-1-111-1-110000000000ii−i−i−i−iii11-1-1000000000000
χ4544-4-44-44-4−4i−4i4i4i−4i4i4-400001-1-111-1-110000000000ii−i−iii−i−i-1-111000000000000
χ464-44-44-4-44000000000000-22-222-22-2000000−2i22i22i2−2i2000000000000000000000000
χ474-44-44-4-44000000000000-22-222-22-20000002i2−2i2−2i22i2000000000000000000000000
χ484-4-4444-4-40000000044-4-4-2-22222-2-20000000000000000000000000000000000
χ494-4-4-4-44444-4-44000000001-11-11-11-10000000000-111-13−3−33−333−3000000000000
χ504-4-4-4-44444-4-44000000001-11-11-11-10000000000-111-1−333−33−3−33000000000000
χ514-4-4-4-44444-4-4400000000-22-22-22-2200000000002-2-2200000000000000000000
χ524-4-4-4-4444-444-4000000001-11-11-11-100000000001-1-113−3−333−3−33000000000000
χ534-4-4-4-4444-444-4000000001-11-11-11-100000000001-1-11−333−3−333−3000000000000
χ544-4-4-4-4444-444-400000000-22-22-22-220000000000-222-200000000000000000000
χ5566-66-6-6-66000000002-22-200000000002i2i−2i−2i000000000000000000−2i2i00000000
χ5666-66-6-6-66000000002-22-20000000000−2i−2i2i2i0000000000000000002i−2i00000000
χ576-666-6-66-66i−6i6i−6i00002-2-2200000000−2i2i00000000000000000000000000000000
χ586-666-6-66-6−6i6i−6i6i00002-2-22000000002i−2i00000000000000000000000000000000
χ596-6-6666-6-600000000-2-222000000000000002i−2i2i−2i0000000000000000−2i2i000000
χ606-6-6666-6-600000000-2-22200000000000000−2i2i−2i2i00000000000000002i−2i000000
χ61888-8-88-8-80000000000002-2-22-222-20000000000000000000000000000000000
χ628-88-88-8-880000000000002-22-2-22-220000000000000000000000000000000000

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