Finite Group Databasebeta

← Group #11921050

Character table — Group #11921050

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222224444444466888888888888121212161616161616161616161616161616161616242424243636363672727272144
order12223446664412121212121244333666666666412121212121212121212121212121212121212124121212888888884
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1
χ41111111111-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111
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
χ62222222222-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1111111111111-22-2-2000000000
χ722222-2-2222000000-2-222222222222222-222-2-2-2-2-2-20000000000000-200000000000
χ822222-2-2222000000-2-222-1-1-1-1-1-1-1-1-1-1-1-1-222111111−i3−i3−i3−i3−i3−i3i3i3i3i3i3i30-200000000000
χ922222-2-2222000000-2-222-1-1-1-1-1-1-1-1-1-1-1-1-222111111i3i3i3i3i3i3−i3−i3−i3−i3−i3−i30-200000000000
χ102222-122-1-1-122-1-1-1-1-1-1222-1-12-1-12-1-12-1-12-1-122-1-1-1-122-1-1-1-122-1-1-1-12-1-1-1000000000
χ112222-122-1-1-122-1-1-1-1-1-122-12-1-12-1-12-1-12-12-1-1-1-122-1-1-1-122-1-1-1-122-1-12-1-1-1000000000
χ122222-122-1-1-122-1-1-1-1-1-122-1-12-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1222-1-1-1000000000
χ132222-122-1-1-1-2-21111-1-1222-1-12-1-12-1-12-1-12-1-122-1-1-1-1-2-21111-2-21111-2-111000000000
χ142222-122-1-1-1-2-21111-1-122-12-1-12-1-12-1-12-12-1-1-1-122-1-111-2-21111-2-211-2-111000000000
χ152222-122-1-1-1-2-21111-1-122-1-12-1-12-1-12-1-122-1-1-1-1-1-1221111-2-21111-2-2-2-111000000000
χ162222-1-2-2-1-1-100−i3−i3i3i311222-1-12-1-12-1-12-1-1-2-1-1-2-2111100−i3−i3i3i300i3i3−i3−i301−i3i3000000000
χ172222-1-2-2-1-1-100−i3−i3i3i31122-12-1-12-1-12-1-12-1-2-1-111-2-211i3i300−i3−i3−i3−i300i3i301−i3i3000000000
χ182222-1-2-2-1-1-100−i3−i3i3i31122-1-12-1-12-1-12-1-12-2-1-11111-2-2−i3−i3i3i300i3i3−i3−i30001−i3i3000000000
χ192222-1-2-2-1-1-100i3i3−i3−i311222-1-12-1-12-1-12-1-1-2-1-1-2-2111100i3i3−i3−i300−i3−i3i3i301i3−i3000000000
χ202222-1-2-2-1-1-100i3i3−i3−i31122-12-1-12-1-12-1-12-1-2-1-111-2-211−i3−i300i3i3i3i300−i3−i301i3−i3000000000
χ212222-1-2-2-1-1-100i3i3−i3−i31122-1-12-1-12-1-12-1-12-2-1-11111-2-2i3i3−i3−i300−i3−i3i3i30001i3−i3000000000
χ222-22-22-22-2-222i−2i2i−2i2i−2i2-200-1-1-1111-1-1-11110001-11-11-1i−ii−ii−ii−ii−ii−i0000−i2−i2i2i2002−20
χ232-22-22-22-2-222i−2i2i−2i2i−2i2-200-1-1-1111-1-1-11110001-11-11-1i−ii−ii−ii−ii−ii−i0000i2i2−i2−i200−220
χ242-22-22-22-2-22−2i2i−2i2i−2i2i2-200-1-1-1111-1-1-11110001-11-11-1−ii−ii−ii−ii−ii−ii0000−i2−i2i2i200−220
χ252-22-22-22-2-22−2i2i−2i2i−2i2i2-200-1-1-1111-1-1-11110001-11-11-1−ii−ii−ii−ii−ii−ii0000i2i2−i2−i2002−20
χ262-2-222002-2-200000000-22222222-2-2-2-2-2-202-20000000000000000000000−i2i2−i2i2−i2i2000
χ272-2-222002-2-200000000-22222222-2-2-2-2-2-202-20000000000000000000000i2−i2i2−i2i2−i2000
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
χ303333333333-3-3-3-3-3-333-1-1000000000000-1-1-10000000000000000001-1111111-1-1-1-11
χ313333333333-3-3-3-3-3-333-1-1000000000000-1-1-10000000000000000001-111-1-1-1-11111-1
χ3244-4-4400-44-40000000000-2-2-2222222-2-2-200000000000000000000000002-2-2200000
χ3344-4-4400-44-40000000000-2-2-2222222-2-2-20000000000000000000000000-222-200000
χ344-44-444-4-4-44000000-4400111-1-1-1111-1-1-10001-11-11-13−33−33−3−33−33−330000000000000
χ354-44-444-4-4-44000000-4400111-1-1-1111-1-1-10001-11-11-1−33−33−333−33−33−30000000000000
χ364-44-444-4-4-44000000-4400-2-2-2222-2-2-2222000-22-22-220000000000000000000000000
χ374-44-44-44-4-444i−4i4i−4i4i−4i4-400111-1-1-1111-1-1-1000-11-11-11−ii−ii−ii−ii−ii−ii0000000000000
χ384-44-44-44-4-44−4i4i−4i4i−4i4i4-400111-1-1-1111-1-1-1000-11-11-11i−ii−ii−ii−ii−ii−i0000000000000
χ394-44-4-24-422-20023−23−23232-20011-2-1-1211-2-1-120001-11-1-223−3−3300−333−3000000000000000
χ404-44-4-24-422-20023−23−23232-2001-21-12-11-21-12-10001-1-221-1−33003−33−300−330000000000000
χ414-44-4-24-422-20023−23−23232-200-2112-1-1-2112-1-1000-221-11-1003−3−3300−333−30000000000000
χ424-44-4-24-422-200−232323−232-20011-2-1-1211-2-1-120001-11-1-22−333−3003−3−33000000000000000
χ434-44-4-24-422-200−232323−232-2001-21-12-11-21-12-10001-1-221-13−300−33−33003−30000000000000
χ444-44-4-24-422-200−232323−232-200-2112-1-1-2112-1-1000-221-11-100−333−3003−3−330000000000000
χ454-44-4-2-4422-24i−4i−2i2i−2i2i-220011-2-1-1211-2-1-12000-11-112-2−ii−ii2i−2i−ii−ii2i−2i0000000000000
χ464-44-4-2-4422-24i−4i−2i2i−2i2i-22001-21-12-11-21-12-1000-112-2-11−ii2i−2i−ii−ii2i−2i−ii0000000000000
χ474-44-4-2-4422-24i−4i−2i2i−2i2i-2200-2112-1-1-2112-1-10002-2-11-112i−2i−ii−ii2i−2i−ii−ii0000000000000
χ484-44-4-2-4422-2−4i4i2i−2i2i−2i-220011-2-1-1211-2-1-12000-11-112-2i−ii−i−2i2ii−ii−i−2i2i0000000000000
χ494-44-4-2-4422-2−4i4i2i−2i2i−2i-22001-21-12-11-21-12-1000-112-2-11i−i−2i2ii−ii−i−2i2ii−i0000000000000
χ504-44-4-2-4422-2−4i4i2i−2i2i−2i-2200-2112-1-1-2112-1-10002-2-11-11−2i2ii−ii−i−2i2ii−ii−i0000000000000
χ514-4-444004-4-400000000-44-2-2-2-2-2-222222204-40000000000000000000000000000000
χ524-4-44-200-22200000000-444-2-24-2-2-422-4220-220000000000000000000000000000000
χ534-4-44-200-22200000000-44-24-2-24-22-422-420-220000000000000000000000000000000
χ544-4-44-200-22200000000-44-2-24-2-2422-422-40-220000000000000000000000000000000
χ5566666-6-6666000000-6-6-2-20000000000002-2-20000000000000000000200000000000
χ566666-366-3-3-366-3-3-3-3-3-3-2-2000000000000-211000000000000000000-2111000000000
χ576666-366-3-3-3-6-63333-3-3-2-2000000000000-21100000000000000000021-1-1000000000
χ586666-3-6-6-3-3-300−3i3−3i33i33i333-2-20000000000002110000000000000000000-1i3−i3000000000
χ596666-3-6-6-3-3-3003i33i3−3i3−3i333-2-20000000000002110000000000000000000-1−i3i3000000000
χ606-6-666006-6-6000000002-20000000000000-220000000000000000000000−i2i2−i2i2i2−i2000
χ616-6-666006-6-6000000002-20000000000000-220000000000000000000000i2−i2i2−i2−i2i2000
χ6288-8-8800-88-80000000000222-2-2-2-2-2-22220000000000000000000000000000000000
χ6388-8-8-4004-44000000000022-4-2-24-2-2422-40000000000000000000000000000000000
χ6488-8-8-4004-4400000000002-42-24-2-24-22-420000000000000000000000000000000000
χ6588-8-8-4004-440000000000-4224-2-24-2-2-4220000000000000000000000000000000000
χ6612-12-1212-600-666000000004-400000000000002-20000000000000000000000000000000

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