Finite Group Databasebeta

← Group #11921056

Character table — Group #11921056

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222224444444466888888888888121212161616161616161616161616161616161616242424243636363672727272144
order12223446664412121212121244333666666666412121212121212121212121212121212121212124121212888888882
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ31111111111-1-111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1
χ41111111111-1-111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111
χ522222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000
χ62222222222-2-222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1111111111111-22-2-2000000000
χ722222-2-222200-2-2000022222222222222-222-2-2-2-2-2-20000000000000-200000000000
χ822222-2-222200-2-2000022-1-1-1-1-1-1-1-1-1-1-1-1-222111111−i3−i3−i3−i3−i3−i3i3i3i3i3i3i30-200000000000
χ922222-2-222200-2-2000022-1-1-1-1-1-1-1-1-1-1-1-1-222111111i3i3i3i3i3i3−i3−i3−i3−i3−i3−i30-200000000000
χ102222-122-1-1-122-1-1-1-1-1-1222-1-122-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-122-1-1-1-12-1-1-1000000000
χ112222-122-1-1-122-1-1-1-1-1-122-12-1-1-122-1-1-12-12-1-1-1-122-1-1-1-122-1-1-1-122-1-12-1-1-1000000000
χ122222-122-1-1-122-1-1-1-1-1-122-1-12-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1222-1-1-1000000000
χ132222-122-1-1-1-2-2-1-11111222-1-122-1-1-1-12-1-12-1-122-1-1-1-1-2-21111-2-21111-2-111000000000
χ142222-122-1-1-1-2-2-1-1111122-12-1-1-122-1-1-12-12-1-1-1-122-1-111-2-21111-2-211-2-111000000000
χ152222-122-1-1-1-2-2-1-1111122-1-12-1-1-1-122-1-122-1-1-1-1-1-1221111-2-21111-2-2-2-111000000000
χ162222-1-2-2-1-1-10011−i3−i3i3i3222-1-122-1-1-1-12-1-1-2-1-1-2-2111100−i3−i3i3i300i3i3−i3−i301−i3i3000000000
χ172222-1-2-2-1-1-10011−i3−i3i3i322-12-1-1-122-1-1-12-1-2-1-111-2-211i3i300−i3−i3−i3−i300i3i301−i3i3000000000
χ182222-1-2-2-1-1-10011−i3−i3i3i322-1-12-1-1-1-122-1-12-2-1-11111-2-2−i3−i3i3i300i3i3−i3−i30001−i3i3000000000
χ192222-1-2-2-1-1-10011i3i3−i3−i3222-1-122-1-1-1-12-1-1-2-1-1-2-2111100i3i3−i3−i300−i3−i3i3i301i3−i3000000000
χ202222-1-2-2-1-1-10011i3i3−i3−i322-12-1-1-122-1-1-12-1-2-1-111-2-211−i3−i300i3i3i3i300−i3−i301i3−i3000000000
χ212222-1-2-2-1-1-10011i3i3−i3−i322-1-12-1-1-1-122-1-12-2-1-11111-2-2i3i3−i3−i300−i3−i3i3i30001i3−i3000000000
χ2222-2-22002-2-200000000-222222-22-22-2-2-2-202-20000000000000000000000−i2−i2i2i2−i2i2000
χ2322-2-22002-2-200000000-222222-22-22-2-2-2-202-20000000000000000000000i2i2−i2−i2i2−i2000
χ242-22-22-22-22-22-22-22-22-200-1-1-1111111-1-1-10001-11-11-11-11-11-11-11-11-10000−i2i2−i2i200−i2i20
χ252-22-22-22-22-22-22-22-22-200-1-1-1111111-1-1-10001-11-11-11-11-11-11-11-11-10000i2−i2i2−i200i2−i20
χ262-22-22-22-22-2-222-2-22-2200-1-1-1111111-1-1-10001-11-11-1-11-11-11-11-11-110000−i2i2−i2i200i2−i20
χ272-22-22-22-22-2-222-2-22-2200-1-1-1111111-1-1-10001-11-11-1-11-11-11-11-11-110000i2−i2i2−i200−i2i20
χ28333333333333333333-1-1000000000000-1-1-1000000000000000000-1-1-1-11111-1-111-1
χ29333333333333333333-1-1000000000000-1-1-1000000000000000000-1-1-1-1-1-1-1-111-1-11
χ303333333333-3-333-3-3-3-3-1-1000000000000-1-1-10000000000000000001-1111111-1-1-1-11
χ313333333333-3-333-3-3-3-3-1-1000000000000-1-1-10000000000000000001-111-1-1-1-11111-1
χ3244-4-44004-4-400000000-44-2-2-2-22-22-2222204-40000000000000000000000000000000
χ3344-4-4-200-22200000000-444-2-24-4-22-22-4220-220000000000000000000000000000000
χ3444-4-4-200-22200000000-44-24-2-224-4-222-420-220000000000000000000000000000000
χ3544-4-4-200-22200000000-44-2-24-22-224-422-40-220000000000000000000000000000000
χ364-44-444-4-44-400-44000000111-1-1-1-1-1-11110001-11-11-1−i3i3−i3i3−i3i3i3−i3i3−i3i3−i30000000000000
χ374-44-444-4-44-400-44000000111-1-1-1-1-1-11110001-11-11-1i3−i3i3−i3i3−i3−i3i3−i3i3−i3i30000000000000
χ384-44-444-4-44-400-44000000-2-2-2222222-2-2-2000-22-22-220000000000000000000000000
χ394-44-44-44-44-44-44-44-44-400111-1-1-1-1-1-1111000-11-11-11-11-11-11-11-11-110000000000000
χ404-44-44-44-44-4-444-4-44-4400111-1-1-1-1-1-1111000-11-11-111-11-11-11-11-11-10000000000000
χ414-44-4-24-42-22002-2−2i32i32i3−2i30011-2-1-1-1-12211-20001-11-1-22−i3i3i3−i300i3−i3−i3i3000000000000000
χ424-44-4-24-42-22002-2−2i32i32i3−2i3001-21-1-122-1-11-210001-1-221-1i3−i300−i3i3−i3i300i3−i30000000000000
χ434-44-4-24-42-22002-2−2i32i32i3−2i300-21122-1-1-1-1-211000-221-11-100−i3i3i3−i300i3−i3−i3i30000000000000
χ444-44-4-24-42-22002-22i3−2i3−2i32i30011-2-1-1-1-12211-20001-11-1-22i3−i3−i3i300−i3i3i3−i3000000000000000
χ454-44-4-24-42-22002-22i3−2i3−2i32i3001-21-1-122-1-11-210001-1-221-1−i3i300i3−i3i3−i300−i3i30000000000000
χ464-44-4-24-42-22002-22i3−2i3−2i32i300-21122-1-1-1-1-211000-221-11-100i3−i3−i3i300−i3i3i3−i30000000000000
χ474-44-4-2-442-224-4-22-22-220011-2-1-1-1-12211-2000-11-112-2-11-112-2-11-112-20000000000000
χ484-44-4-2-442-224-4-22-22-22001-21-1-122-1-11-21000-112-2-11-112-2-11-112-2-110000000000000
χ494-44-4-2-442-224-4-22-22-2200-21122-1-1-1-1-2110002-2-11-112-2-11-112-2-11-110000000000000
χ504-44-4-2-442-22-44-222-22-20011-2-1-1-1-12211-2000-11-112-21-11-1-221-11-1-220000000000000
χ514-44-4-2-442-22-44-222-22-2001-21-1-122-1-11-21000-112-2-111-1-221-11-1-221-10000000000000
χ524-44-4-2-442-22-44-222-22-200-21122-1-1-1-1-2110002-2-11-11-221-11-1-221-11-10000000000000
χ534-4-44400-4-440000000000-2-2-22-22-22-222200000000000000000000000002-2-2200000
χ544-4-44400-4-440000000000-2-2-22-22-22-22220000000000000000000000000-222-200000
χ5566666-6-666600-6-60000-2-20000000000002-2-20000000000000000000200000000000
χ566666-366-3-3-366-3-3-3-3-3-3-2-2000000000000-211000000000000000000-2111000000000
χ576666-366-3-3-3-6-6-3-33333-2-2000000000000-21100000000000000000021-1-1000000000
χ586666-3-6-6-3-3-30033−3i3−3i33i33i3-2-20000000000002110000000000000000000-1i3−i3000000000
χ596666-3-6-6-3-3-300333i33i3−3i3−3i3-2-20000000000002110000000000000000000-1−i3i3000000000
χ6066-6-66006-6-6000000002-20000000000000-220000000000000000000000−i2−i2i2i2i2−i2000
χ6166-6-66006-6-6000000002-20000000000000-220000000000000000000000i2i2−i2−i2−i2i2000
χ628-8-88800-8-880000000000222-22-22-22-2-2-20000000000000000000000000000000000
χ638-8-88-40044-4000000000022-4-22-224-4-2-240000000000000000000000000000000000
χ648-8-88-40044-400000000002-42-224-4-22-24-20000000000000000000000000000000000
χ658-8-88-40044-40000000000-4224-4-22-224-2-20000000000000000000000000000000000
χ661212-12-12-600-666000000004-400000000000002-20000000000000000000000000000000

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