Finite Group Databasebeta

← Group #11921043

Character table — Group #11921043

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222224444444466888888888888121212161616161616161616161616161616161616242424243636363672727272144
order1222344666226666121244333666666666412126666666666661212121212124121212888888884
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1111111-1-1-1
χ41111111111-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-1-1-1111
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
χ62222222222-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1222111111111111-1-1-1-1-1-1-22-2-2000000000
χ722222-2-2222000000-2-222222222222222-222000000000000-2-2-2-2-2-20-200000000000
χ822222-2-2222000000-2-222-1-1-1-1-1-1-1-1-1-1-1-1-222−i3−i3−i3−i3−i3−i3i3i3i3i3i3i31111110-200000000000
χ922222-2-2222000000-2-222-1-1-1-1-1-1-1-1-1-1-1-1-222i3i3i3i3i3i3−i3−i3−i3−i3−i3−i31111110-200000000000
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
χ132222-122-1-1-1-2-21111-1-1222-1-122-1-1-1-12-1-12-1-1-2-21111-2-2111122-1-1-1-1-2-111000000000
χ142222-122-1-1-1-2-21111-1-122-12-1-1-122-1-1-12-12-1-111-2-21111-2-211-1-122-1-1-2-111000000000
χ152222-122-1-1-1-2-21111-1-122-1-12-1-1-1-122-1-122-1-11111-2-21111-2-2-1-1-1-122-2-111000000000
χ162222-1-2-2-1-1-100−i3−i3i3i311222-1-122-1-1-1-12-1-1-2-1-100−i3−i3i3i300i3i3−i3−i3-2-2111101−i3i3000000000
χ172222-1-2-2-1-1-100−i3−i3i3i31122-12-1-1-122-1-1-12-1-2-1-1i3i300−i3−i3−i3−i300i3i311-2-21101−i3i3000000000
χ182222-1-2-2-1-1-100−i3−i3i3i31122-1-12-1-1-1-122-1-12-2-1-1−i3−i3i3i300i3i3−i3−i3001111-2-201−i3i3000000000
χ192222-1-2-2-1-1-100i3i3−i3−i311222-1-122-1-1-1-12-1-1-2-1-100i3i3−i3−i300−i3−i3i3i3-2-2111101i3−i3000000000
χ202222-1-2-2-1-1-100i3i3−i3−i31122-12-1-1-122-1-1-12-1-2-1-1−i3−i300i3i3i3i300−i3−i311-2-21101i3−i3000000000
χ212222-1-2-2-1-1-100i3i3−i3−i31122-1-12-1-1-1-122-1-12-2-1-1i3i3−i3−i300−i3−i3i3i3001111-2-201i3−i3000000000
χ222-22-2200-2-22000000002-22222-22-22-2-2-2-202-20000000000000000000000−i2−i2i2i2−i2i2000
χ232-22-2200-2-22000000002-22222-22-22-2-2-2-202-20000000000000000000000i2i2−i2−i2i2−i2000
χ242-2-222-222-2-22-22-22-22-200-1-1-1111111-1-1-10001-11-11-11-11-11-11-11-11-10000−i2i2−i2i200−i2i20
χ252-2-222-222-2-22-22-22-22-200-1-1-1111111-1-1-10001-11-11-11-11-11-11-11-11-10000i2−i2i2−i200i2−i20
χ262-2-222-222-2-2-22-22-222-200-1-1-1111111-1-1-1000-11-11-11-11-11-111-11-11-10000−i2i2−i2i200i2−i20
χ272-2-222-222-2-2-22-22-222-200-1-1-1111111-1-1-1000-11-11-11-11-11-111-11-11-10000i2−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
χ303333333333-3-3-3-3-3-333-1-1000000000000-1-1-10000000000000000001-1111111-1-1-1-11
χ313333333333-3-3-3-3-3-333-1-1000000000000-1-1-10000000000000000001-111-1-1-1-11111-1
χ3244-4-4400-44-40000000000-2-2-22-22-22-222200000000000000000000000002-2-2200000
χ3344-4-4400-44-40000000000-2-2-22-22-22-22220000000000000000000000000-222-200000
χ344-44-4400-4-44000000004-4-2-2-2-22-22-2222204-40000000000000000000000000000000
χ354-44-4-20022-2000000004-44-2-24-4-22-22-4220-220000000000000000000000000000000
χ364-44-4-20022-2000000004-4-24-2-224-4-222-420-220000000000000000000000000000000
χ374-44-4-20022-2000000004-4-2-24-22-224-422-40-220000000000000000000000000000000
χ384-4-4444-44-4-4000000-4400111-1-1-1-1-1-1111000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i31-11-11-10000000000000
χ394-4-4444-44-4-4000000-4400111-1-1-1-1-1-1111000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i31-11-11-10000000000000
χ404-4-4444-44-4-4000000-4400-2-2-2222222-2-2-2000000000000000-22-22-220000000000000
χ414-4-444-444-4-44-44-44-44-400111-1-1-1-1-1-1111000-11-11-11-11-11-11-11-11-110000000000000
χ424-4-444-444-4-4-44-44-444-400111-1-1-1-1-1-11110001-11-11-11-11-11-1-11-11-110000000000000
χ434-4-44-24-4-22200−2i32i32i3−2i32-20011-2-1-1-1-12211-2000−i3i3i3−i300i3−i3−i3i3001-11-1-220000000000000
χ444-4-44-24-4-22200−2i32i32i3−2i32-2001-21-1-122-1-11-21000i3−i300−i3i3−i3i300i3−i31-1-221-10000000000000
χ454-4-44-24-4-22200−2i32i32i3−2i32-200-21122-1-1-1-1-21100000−i3i3i3−i300i3−i3−i3i3-221-11-10000000000000
χ464-4-44-24-4-222002i3−2i3−2i32i32-20011-2-1-1-1-12211-2000i3−i3−i3i300−i3i3i3−i3001-11-1-220000000000000
χ474-4-44-24-4-222002i3−2i3−2i32i32-2001-21-1-122-1-11-21000−i3i300i3−i3i3−i300−i3i31-1-221-10000000000000
χ484-4-44-24-4-222002i3−2i3−2i32i32-200-21122-1-1-1-1-21100000i3−i3−i3i300−i3i3i3−i3-221-11-10000000000000
χ494-4-44-2-44-2224-4-22-22-220011-2-1-1-1-12211-2000-11-112-2-11-112-2-11-112-20000000000000
χ504-4-44-2-44-2224-4-22-22-22001-21-1-122-1-11-21000-112-2-11-112-2-11-112-2-110000000000000
χ514-4-44-2-44-2224-4-22-22-2200-21122-1-1-1-1-2110002-2-11-112-2-11-112-2-11-110000000000000
χ524-4-44-2-44-222-442-22-2-220011-2-1-1-1-12211-20001-11-1-221-11-1-22-11-112-20000000000000
χ534-4-44-2-44-222-442-22-2-22001-21-1-122-1-11-210001-1-221-11-1-221-1-112-2-110000000000000
χ544-4-44-2-44-222-442-22-2-2200-21122-1-1-1-1-211000-221-11-1-221-11-12-2-11-110000000000000
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
χ606-66-6600-6-6600000000-220000000000000-220000000000000000000000−i2−i2i2i2i2−i2000
χ616-66-6600-6-6600000000-220000000000000-220000000000000000000000i2i2−i2−i2−i2i2000
χ6288-8-8800-88-80000000000222-22-22-22-2-2-20000000000000000000000000000000000
χ6388-8-8-4004-44000000000022-4-22-224-4-2-240000000000000000000000000000000000
χ6488-8-8-4004-4400000000002-42-224-4-22-24-20000000000000000000000000000000000
χ6588-8-8-4004-440000000000-4224-4-22-224-2-20000000000000000000000000000000000
χ6612-1212-12-60066-600000000-4400000000000002-20000000000000000000000000000000

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