Finite Group Databasebeta

← Group #11713925

Character table — Group #11713925

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
χ511111111-1-1-1-111-1-1111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-11-1
χ611111111-1-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-1-1-111-11
χ711111111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-111-11
χ811111111-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-11-1
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
χ1122222222-2-2-2-222-2-22222-1-1-1-1-1-1-1-1-2-2000000001111-1-1-1-11111-220000000000
χ1222222222-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-2-20000000011111111-1-1-1-12-20000000000
χ13222-2-2-2-222i2i−2i−2i0000-222-2222-2-22-2-22i−2i000000002i2i−2i−2i00000000000000000000
χ14222-2-2-2-222i2i−2i−2i0000-222-2-1-1-111-1112i−2i00000000−i−iii33−3−3−i3−i3i3i3000000000000
χ15222-2-2-2-222i2i−2i−2i0000-222-2-1-1-111-1112i−2i00000000−i−iii−3−333i3i3−i3−i3000000000000
χ16222-2-2-2-22−2i−2i2i2i0000-222-2222-2-22-2-2−2i2i00000000−2i−2i2i2i00000000000000000000
χ17222-2-2-2-22−2i−2i2i2i0000-222-2-1-1-111-111−2i2i00000000ii−i−i33−3−3i3i3−i3−i3000000000000
χ18222-2-2-2-22−2i−2i2i2i0000-222-2-1-1-111-111−2i2i00000000ii−i−i−3−333−i3−i3i3i3000000000000
χ1922-222-2-2-20000000022-2-222-2-2-2-2220000002i2i−2i−2i000000000000002i−2i00000000
χ2022-222-2-2-20000000022-2-222-2-2-2-222000000−2i−2i2i2i00000000000000−2i2i00000000
χ2122-2-2-222-200000000-22-2222-222-2-2-2002i2i−2i−2i000000000000000000002i−2i000000
χ2222-2-2-222-200000000-22-2222-222-2-2-200−2i−2i2i2i00000000000000000000−2i2i000000
χ232-222-22-2-22-22-22i−2i2i−2i0000-11-11-111-1002−22−22−22−21-11-1i−ii−ii−ii−i000000−i2i2−i2i200
χ242-222-22-2-22-22-22i−2i2i−2i0000-11-11-111-100−22−22−22−221-11-1i−ii−ii−ii−i000000i2−i2i2−i200
χ252-222-22-2-22-22-2−2i2i−2i2i0000-11-11-111-1002−22−22−22−21-11-1−ii−ii−ii−ii000000i2−i2i2−i200
χ262-222-22-2-22-22-2−2i2i−2i2i0000-11-11-111-100−22−22−22−221-11-1−ii−ii−ii−ii000000−i2i2−i2i200
χ272-222-22-2-2-22-222i−2i−2i2i0000-11-11-111-1002−22−2−22−22-11-11i−ii−i−ii−ii000000−i2i2i2−i200
χ282-222-22-2-2-22-222i−2i−2i2i0000-11-11-111-100−22−222−22−2-11-11i−ii−i−ii−ii000000i2−i2−i2i200
χ292-222-22-2-2-22-22−2i2i2i−2i0000-11-11-111-1002−22−2−22−22-11-11−ii−iii−ii−i000000i2−i2−i2i200
χ302-222-22-2-2-22-22−2i2i2i−2i0000-11-11-111-100−22−222−22−2-11-11−ii−iii−ii−i000000−i2i2i2−i200
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
χ3533333333-3-3-3-333-3-3-1-1-1-100000000111111-1-1-1-10000000000001-111-1-111-1-1-11
χ3633333333-3-3-3-333-3-3-1-1-1-10000000011-1-1-1-111110000000000001-1-1-111-1-1111-1
χ3733333333-3-3-3-3-3-333-1-1-1-100000000111111-1-1-1-1000000000000-1111-1-1-1-1111-1
χ3833333333-3-3-3-3-3-333-1-1-1-10000000011-1-1-1-11111000000000000-11-1-11111-1-1-11
χ3944-444-4-4-40000000044-4-4-2-22222-2-20000000000000000000000000000000000
χ4044-4-4-444-400000000-44-44-2-22-2-22220000000000000000000000000000000000
χ414-444-44-4-44-44-44i−4i4i−4i00001-11-11-1-110000000000-11-11−ii−ii−ii−ii000000000000
χ424-444-44-4-44-44-4−4i4i−4i4i00001-11-11-1-110000000000-11-11i−ii−ii−ii−i000000000000
χ434-444-44-4-4-44-444i−4i−4i4i00001-11-11-1-1100000000001-11-1−ii−iii−ii−i000000000000
χ444-444-44-4-4-44-44−4i4i4i−4i00001-11-11-1-1100000000001-11-1i−ii−i−ii−ii000000000000
χ454-44-44-44-44i−4i−4i4i000000001-111-1-11-10000000000−iii−i−i3i3i3−i3−333−3000000000000
χ464-44-44-44-44i−4i−4i4i000000001-111-1-11-10000000000−iii−ii3−i3−i3i33−3−33000000000000
χ474-44-44-44-44i−4i−4i4i00000000-22-2-222-2200000000002i−2i−2i2i00000000000000000000
χ484-44-44-44-4−4i4i4i−4i000000001-111-1-11-10000000000i−i−ii−i3i3i3−i33−3−33000000000000
χ494-44-44-44-4−4i4i4i−4i000000001-111-1-11-10000000000i−i−iii3−i3−i3i3−333−3000000000000
χ504-44-44-44-4−4i4i4i−4i00000000-22-2-222-220000000000−2i2i2i−2i00000000000000000000
χ514-4-44-4-444000000000000-222-22-22-2000000−2i22i22i2−2i2000000000000000000000000
χ524-4-44-4-444000000000000-222-22-22-20000002i2−2i2−2i22i2000000000000000000000000
χ534-4-4-444-44000000000000-2222-2-2-2200−2i22i22i2−2i20000000000000000000000000000
χ544-4-4-444-44000000000000-2222-2-2-22002i2−2i2−2i22i20000000000000000000000000000
χ55666-6-6-6-666i6i−6i−6i00002-2-2200000000−2i2i00000000000000000000000000000000
χ56666-6-6-6-66−6i−6i6i6i00002-2-22000000002i−2i00000000000000000000000000000000
χ5766-666-6-6-600000000-2-222000000000000002i2i−2i−2i00000000000000−2i2i00000000
χ5866-666-6-6-600000000-2-22200000000000000−2i−2i2i2i000000000000002i−2i00000000
χ5966-6-6-666-6000000002-22-200000000002i2i−2i−2i00000000000000000000−2i2i000000
χ6066-6-6-666-6000000002-22-20000000000−2i−2i2i2i000000000000000000002i−2i000000
χ618-8-88-8-8880000000000002-2-22-22-220000000000000000000000000000000000
χ628-8-8-888-880000000000002-2-2-2222-20000000000000000000000000000000000

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