Finite Group Databasebeta

← Group #11713918

Character table — Group #11713918

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444466668888888812121212121212121212161616161616161616161616242424242424242424244848
order12222222444444444444366666664488888888121212121212121212121212444444888844
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ511111111-1-1-1-111-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-1-11
χ611111111-1-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-1-1-1-1111-1
χ711111111-1-1-1-1-1-111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-1111-1
χ811111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-1-11
χ922222222222222222222-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-1-1-1-1-1-1-1220000000000
χ10222222222222-2-2-2-22222-1-1-1-1-1-1-1-122000000001111-1-1-1-11111-2-20000000000
χ1122222222-2-2-2-222-2-22222-1-1-1-1-1-1-1-1-2-20000000011111111-1-1-1-1-220000000000
χ1222222222-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-2-200000000-1-1-1-1111111112-20000000000
χ1322-22-2-2-220000000022-2-2222-2-2-2-220000002i2i−2i−2i000000000000002i−2i00000000
χ1422-22-2-2-220000000022-2-2222-2-2-2-22000000−2i−2i2i2i00000000000000−2i2i00000000
χ152-22-2-2-2222i2i−2i−2i0000-222-222-22-2-22-22i−2i0000000000002i2i−2i−2i0000000000000000
χ162-22-2-2-2222i2i−2i−2i0000-222-2-1-11-111-112i−2i00000000−i3−i3i3i3−i−iii33−3−3000000000000
χ172-22-2-2-2222i2i−2i−2i0000-222-2-1-11-111-112i−2i00000000i3i3−i3−i3−i−iii−3−333000000000000
χ182-22-2-2-222−2i−2i2i2i0000-222-222-22-2-22-2−2i2i000000000000−2i−2i2i2i0000000000000000
χ192-22-2-2-222−2i−2i2i2i0000-222-2-1-11-111-11−2i2i00000000−i3−i3i3i3ii−i−i−3−333000000000000
χ202-22-2-2-222−2i−2i2i2i0000-222-2-1-11-111-11−2i2i00000000i3i3−i3−i3ii−i−i33−3−3000000000000
χ212-2-222-22-22i−2i2i−2i2i−2i2-20000-11-111-1-1100−i2−i2i2i22−22−21-11-1i−ii−ii−ii−i0000002−2−i2i200
χ222-2-222-22-22i−2i2i−2i2i−2i2-20000-11-111-1-1100i2i2−i2−i2−22−221-11-1i−ii−ii−ii−i000000−22i2−i200
χ232-2-222-22-22i−2i2i−2i−2i2i-220000-11-111-1-1100−i2−i2i2i22−22−2-11-11i−ii−i−ii−ii000000−22i2−i200
χ242-2-222-22-22i−2i2i−2i−2i2i-220000-11-111-1-1100i2i2−i2−i2−22−22-11-11i−ii−i−ii−ii0000002−2−i2i200
χ252-2-222-22-2−2i2i−2i2i2i−2i-220000-11-111-1-1100−i2−i2i2i2−22−22-11-11−ii−iii−ii−i0000002−2i2−i200
χ262-2-222-22-2−2i2i−2i2i2i−2i-220000-11-111-1-1100i2i2−i2−i22−22−2-11-11−ii−iii−ii−i000000−22−i2i200
χ272-2-222-22-2−2i2i−2i2i−2i2i2-20000-11-111-1-1100−i2−i2i2i2−22−221-11-1−ii−ii−ii−ii000000−22−i2i200
χ282-2-222-22-2−2i2i−2i2i−2i2i2-20000-11-111-1-1100i2i2−i2−i22−22−21-11-1−ii−ii−ii−ii0000002−2i2−i200
χ292-2-2-222-2200000000-22-2222-2-222-2-2002i−2i2i−2i000000000000000000002i−2i000000
χ302-2-2-222-2200000000-22-2222-2-222-2-200−2i2i−2i2i00000000000000000000−2i2i000000
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
χ3533333333-3-3-3-333-3-3-1-1-1-100000000111111-1-1-1-10000000000001-111-1-111-1-11-1
χ3633333333-3-3-3-333-3-3-1-1-1-10000000011-1-1-1-111110000000000001-1-1-111-1-111-11
χ3733333333-3-3-3-3-3-333-1-1-1-100000000111111-1-1-1-1000000000000-1111-1-1-1-111-11
χ3833333333-3-3-3-3-3-333-1-1-1-10000000011-1-1-1-11111000000000000-11-1-11111-1-11-1
χ39444-44-4-4-4000000000000-222-22-22-20022−22−22220000000000000000000000000000
χ40444-44-4-4-4000000000000-222-22-22-200−222222−220000000000000000000000000000
χ4144-44-4-4-440000000044-4-4-2-2-22222-20000000000000000000000000000000000
χ4244-4-4-444-44-4-44000000001-1-1-11-1110000000000−i3i3i3−i3-111-1−i3i3i3−i3000000000000
χ4344-4-4-444-44-4-44000000001-1-1-11-1110000000000i3−i3−i3i3-111-1i3−i3−i3i3000000000000
χ4444-4-4-444-44-4-4400000000-2222-22-2-2000000000000002-2-220000000000000000
χ4544-4-4-444-4-444-4000000001-1-1-11-1110000000000−i3i3i3−i31-1-11i3−i3−i3i3000000000000
χ4644-4-4-444-4-444-4000000001-1-1-11-1110000000000i3−i3−i3i31-1-11−i3i3i3−i3000000000000
χ4744-4-4-444-4-444-400000000-2222-22-2-200000000000000-222-20000000000000000
χ484-444-44-4-4000000000000-22-2-2-2222000000−2i22i22i2−2i2000000000000000000000000
χ494-444-44-4-4000000000000-22-2-2-22220000002i2−2i2−2i22i2000000000000000000000000
χ504-4-444-44-44i−4i4i−4i4i−4i4-400001-11-1-111-10000000000-11-11−ii−ii−ii−ii000000000000
χ514-4-444-44-44i−4i4i−4i−4i4i-4400001-11-1-111-100000000001-11-1−ii−iii−ii−i000000000000
χ524-4-444-44-4−4i4i−4i4i4i−4i-4400001-11-1-111-100000000001-11-1i−ii−i−ii−ii000000000000
χ534-4-444-44-4−4i4i−4i4i−4i4i4-400001-11-1-111-10000000000-11-11i−ii−ii−ii−i000000000000
χ544-4-4-444-4400000000-44-44-2-222-2-2220000000000000000000000000000000000
χ5566-66-6-6-6600000000-2-222000000000000002i2i−2i−2i00000000000000−2i2i00000000
χ5666-66-6-6-6600000000-2-22200000000000000−2i−2i2i2i000000000000002i−2i00000000
χ576-66-6-6-6666i6i−6i−6i00002-2-2200000000−2i2i00000000000000000000000000000000
χ586-66-6-6-666−6i−6i6i6i00002-2-22000000002i−2i00000000000000000000000000000000
χ596-6-6-666-66000000002-22-200000000002i−2i2i−2i00000000000000000000−2i2i000000
χ606-6-6-666-66000000002-22-20000000000−2i2i−2i2i000000000000000000002i−2i000000
χ61888-88-8-8-80000000000002-2-22-22-220000000000000000000000000000000000
χ628-888-88-8-80000000000002-2222-2-2-20000000000000000000000000000000000

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