Finite Group Databasebeta

← Group #11713800

Character table — Group #11713800

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444466668888888812121212121212121212161616161616161616161616242424242424242424244848
order12222222444444444444366666664488888888121212121212121212121212224444888824
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1
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
χ511111111-1-1-1-111-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-1111-1
χ611111111-1-1-1-111-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-111-1-1-11
χ711111111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111-1-1-11
χ811111111-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-1-1-1-1111-1
χ922222222222222222222-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-1-1-1-1-1-1-1002200000000
χ10222222222222-2-2-2-22222-1-1-1-1-1-1-1-122000000001111-1-1-1-1111100-2-200000000
χ1122222222-2-2-2-222-2-22222-1-1-1-1-1-1-1-1-2-200000000-1-1-1-111111111002-200000000
χ1222222222-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-2-20000000011111111-1-1-1-100-2200000000
χ1322-22-22-2-200000000-22-222222-2-2-2-2002i2i−2i−2i000000000000000000002i−2i000000
χ1422-22-22-2-200000000-22-222222-2-2-2-200−2i−2i2i2i00000000000000000000−2i2i000000
χ152-2222-2-2-22i2i−2i−2i00002-2-2222-2-22-22-22i−2i0000000000002i2i−2i−2i0000000000000000
χ162-2222-2-2-22i2i−2i−2i00002-2-22-1-111-11-112i−2i00000000−i3−i3i3i3−i−iii33−3−3000000000000
χ172-2222-2-2-22i2i−2i−2i00002-2-22-1-111-11-112i−2i00000000i3i3−i3−i3−i−iii−3−333000000000000
χ182-2222-2-2-2−2i−2i2i2i00002-2-2222-2-22-22-2−2i2i000000000000−2i−2i2i2i0000000000000000
χ192-2222-2-2-2−2i−2i2i2i00002-2-22-1-111-11-11−2i2i00000000−i3−i3i3i3ii−i−i−3−333000000000000
χ202-2222-2-2-2−2i−2i2i2i00002-2-22-1-111-11-11−2i2i00000000i3i3−i3−i3ii−i−i33−3−3000000000000
χ212-22-2-22-222-22-22-22-20000-111-111-1-100−i2i2−i2i2−i2−i2i2i21-11-11-11-11-11-1000000−i2i2−i2i200
χ222-22-2-22-222-22-22-22-20000-111-111-1-100i2−i2i2−i2i2i2−i2−i21-11-11-11-11-11-1000000i2−i2i2−i200
χ232-22-2-22-222-22-2-22-220000-111-111-1-100−i2i2−i2i2−i2−i2i2i2-11-111-11-1-11-11000000i2−i2i2−i200
χ242-22-2-22-222-22-2-22-220000-111-111-1-100i2−i2i2−i2i2i2−i2−i2-11-111-11-1-11-11000000−i2i2−i2i200
χ252-22-2-22-22-22-222-2-220000-111-111-1-100−i2i2−i2i2i2i2−i2−i21-11-1-11-11-11-11000000i2−i2−i2i200
χ262-22-2-22-22-22-222-2-220000-111-111-1-100i2−i2i2−i2−i2−i2i2i21-11-1-11-11-11-11000000−i2i2i2−i200
χ272-22-2-22-22-22-22-222-20000-111-111-1-100−i2i2−i2i2i2i2−i2−i2-11-11-11-111-11-1000000−i2i2i2−i200
χ282-22-2-22-22-22-22-222-20000-111-111-1-100i2−i2i2−i2−i2−i2i2i2-11-11-11-111-11-1000000i2−i2−i2i200
χ292-2-22-2-22200000000-2-22222-2-2-22-220000002-22-20000000000002-20000000000
χ302-2-22-2-22200000000-2-22222-2-2-22-22000000-22-22000000000000-220000000000
χ313333333333333333-1-1-1-100000000-1-111111111000000000000-1-1-1-1-1-11111-1-1
χ323333333333333333-1-1-1-100000000-1-1-1-1-1-1-1-1-1-100000000000011-1-111-1-1-1-111
χ33333333333333-3-3-3-3-1-1-1-100000000-1-111111111000000000000-1-111-1-1-1-1-1-111
χ34333333333333-3-3-3-3-1-1-1-100000000-1-1-1-1-1-1-1-1-1-10000000000001111111111-1-1
χ3533333333-3-3-3-333-3-3-1-1-1-100000000111111-1-1-1-100000000000011-11-1-1-1-111-11
χ3633333333-3-3-3-333-3-3-1-1-1-10000000011-1-1-1-11111000000000000-1-1-111111-1-11-1
χ3733333333-3-3-3-3-3-333-1-1-1-100000000111111-1-1-1-1000000000000111-1-1-111-1-11-1
χ3833333333-3-3-3-3-3-333-1-1-1-10000000011-1-1-1-11111000000000000-1-11-111-1-111-11
χ39444-4-4-44-44i−4i−4i4i000000001-11-1-111-10000000000−i3i3i3−i3−iii−i3−3−33000000000000
χ40444-4-4-44-44i−4i−4i4i000000001-11-1-111-10000000000i3−i3−i3i3−iii−i−333−3000000000000
χ41444-4-4-44-44i−4i−4i4i00000000-22-222-2-22000000000000002i−2i−2i2i0000000000000000
χ42444-4-4-44-4−4i4i4i−4i000000001-11-1-111-10000000000−i3i3i3−i3i−i−ii−333−3000000000000
χ43444-4-4-44-4−4i4i4i−4i000000001-11-1-111-10000000000i3−i3−i3i3i−i−ii3−3−33000000000000
χ44444-4-4-44-4−4i4i4i−4i00000000-22-222-2-2200000000000000−2i2i2i−2i0000000000000000
χ4544-44-44-4-400000000-44-44-2-2-2-222220000000000000000000000000000000000
χ4644-4-44-4-44000000000000-22-22-222-2000000−2i22i22i2−2i2000000000000000000000000
χ4744-4-44-4-44000000000000-22-22-222-20000002i2−2i2−2i22i2000000000000000000000000
χ484-44-4-44-444-44-44-44-400001-1-11-1-1110000000000-11-11-11-11-11-11000000000000
χ494-44-4-44-444-44-4-44-4400001-1-11-1-11100000000001-11-1-11-111-11-1000000000000
χ504-44-4-44-44-44-444-4-4400001-1-11-1-1110000000000-11-111-11-11-11-1000000000000
χ514-44-4-44-44-44-44-444-400001-1-11-1-11100000000001-11-11-11-1-11-11000000000000
χ524-4-44-4-44400000000-4-444-2-2222-22-20000000000000000000000000000000000
χ534-4-4-4444-4000000000000-222-2-2-2220022−22−22220000000000000000000000000000
χ544-4-4-4444-4000000000000-222-2-2-22200−222222−220000000000000000000000000000
χ5566-66-66-6-6000000002-22-200000000002i2i−2i−2i00000000000000000000−2i2i000000
χ5666-66-66-6-6000000002-22-20000000000−2i−2i2i2i000000000000000000002i−2i000000
χ576-6666-6-6-66i6i−6i−6i0000-222-200000000−2i2i00000000000000000000000000000000
χ586-6666-6-6-6−6i−6i6i6i0000-222-2000000002i−2i00000000000000000000000000000000
χ596-6-66-6-6660000000022-2-2000000000000002-22-2000000000000-220000000000
χ606-6-66-6-6660000000022-2-200000000000000-22-220000000000002-20000000000
χ6188-8-88-8-880000000000002-22-22-2-220000000000000000000000000000000000
χ628-8-8-8888-80000000000002-2-2222-2-20000000000000000000000000000000000

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