Finite Group Databasebeta

← Group #11713637

Character table — Group #11713637

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444466668888888812121212121212121212161616161616161616161616242424242424242424244848
order12222222444444444444366666664488888888121212121212121212121212224444888822
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
χ132222-2-2-2-222-2-22i−2i2i−2i0000-1111-1-1-110022−2−222−2−211-1-1ii−i−iii−i−i000000−i2i2−i2i200
χ142222-2-2-2-222-2-22i−2i2i−2i0000-1111-1-1-1100−2−222−2−22211-1-1ii−i−iii−i−i000000i2−i2i2−i200
χ152222-2-2-2-222-2-2−2i2i−2i2i0000-1111-1-1-110022−2−222−2−211-1-1−i−iii−i−iii000000i2−i2i2−i200
χ162222-2-2-2-222-2-2−2i2i−2i2i0000-1111-1-1-1100−2−222−2−22211-1-1−i−iii−i−iii000000−i2i2−i2i200
χ172222-2-2-2-2-2-2222i−2i−2i2i0000-1111-1-1-110022−2−2−2−222-1-111ii−i−i−i−iii000000−i2i2i2−i200
χ182222-2-2-2-2-2-2222i−2i−2i2i0000-1111-1-1-1100−2−22222−2−2-1-111ii−i−i−i−iii000000i2−i2−i2i200
χ192222-2-2-2-2-2-222−2i2i2i−2i0000-1111-1-1-110022−2−2−2−222-1-111−i−iiiii−i−i000000i2−i2−i2i200
χ202222-2-2-2-2-2-222−2i2i2i−2i0000-1111-1-1-1100−2−22222−2−2-1-111−i−iiiii−i−i000000−i2i2i2−i200
χ2122-2-2-222-200000000-22-2222-2-22-2-220000002-22-200000000000000002-2000000
χ2222-2-2-222-200000000-22-2222-2-22-2-22000000-22-220000000000000000-22000000
χ232-22-2-22-2200000000-2-2222-22-2-22-22002-22-20000000000000000002-200000000
χ242-22-2-22-2200000000-2-2222-22-2-22-2200-22-22000000000000000000-2200000000
χ252-2-2222-2-22-22-200002-2-222-2-22-2-2222-2000000002-22-200000000000000000000
χ262-2-2222-2-22-22-200002-2-22-111-111-1-12-200000000-11-11−i3i3−i3i3−i3i3−i3i3000000000000
χ272-2-2222-2-22-22-200002-2-22-111-111-1-12-200000000-11-11i3−i3i3−i3i3−i3i3−i3000000000000
χ282-2-2222-2-2-22-2200002-2-222-2-22-2-222-2200000000-22-2200000000000000000000
χ292-2-2222-2-2-22-2200002-2-22-111-111-1-1-22000000001-11-1−i3i3−i3i3i3−i3i3−i3000000000000
χ302-2-2222-2-2-22-2200002-2-22-111-111-1-1-22000000001-11-1i3−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
χ394444-4-4-4-444-4-44i−4i4i−4i00001-1-1-1111-10000000000-1-111−i−iii−i−iii000000000000
χ404444-4-4-4-444-4-4−4i4i−4i4i00001-1-1-1111-10000000000-1-111ii−i−iii−i−i000000000000
χ414444-4-4-4-4-4-4444i−4i−4i4i00001-1-1-1111-1000000000011-1-1−i−iiiii−i−i000000000000
χ424444-4-4-4-4-4-444−4i4i4i−4i00001-1-1-1111-1000000000011-1-1ii−i−i−i−iii000000000000
χ4344-4-44-4-44000000000000-22-2-2-222200000022−22−2222000000000000000000000000
χ4444-4-44-4-44000000000000-22-2-2-2222000000−222222−22000000000000000000000000
χ4544-4-4-444-400000000-44-44-2-222-222-20000000000000000000000000000000000
χ464-44-44-44-4000000000000-2-22-22-2220022−22−22220000000000000000000000000000
χ474-44-44-44-4000000000000-2-22-22-22200−222222−220000000000000000000000000000
χ484-44-4-44-4400000000-4-444-22-222-22-20000000000000000000000000000000000
χ494-4-44-4-4444-4-4400000000111-1-1-11-10000000000-111-13−3−333−3−33000000000000
χ504-4-44-4-4444-4-4400000000111-1-1-11-10000000000-111-1−333−3−333−3000000000000
χ514-4-44-4-4444-4-4400000000-2-2-2222-2200000000002-2-2200000000000000000000
χ524-4-44-4-444-444-400000000111-1-1-11-100000000001-1-113−3−33−333−3000000000000
χ534-4-44-4-444-444-400000000111-1-1-11-100000000001-1-11−333−33−3−33000000000000
χ544-4-44-4-444-444-400000000-2-2-2222-220000000000-222-200000000000000000000
χ5566-6-6-666-6000000002-22-2000000000000002-22-20000000000000000-22000000
χ5666-6-6-666-6000000002-22-200000000000000-22-2200000000000000002-2000000
χ576-66-6-66-660000000022-2-200000000002-22-2000000000000000000-2200000000
χ586-66-6-66-660000000022-2-20000000000-22-220000000000000000002-200000000
χ596-6-6666-6-66-66-60000-222-200000000-2200000000000000000000000000000000
χ606-6-6666-6-6-66-660000-222-2000000002-200000000000000000000000000000000
χ6188-8-88-8-880000000000002-2222-2-2-20000000000000000000000000000000000
χ628-88-88-88-800000000000022-22-22-2-20000000000000000000000000000000000

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