Finite Group Databasebeta

← Group #11868829

Character table — Group #11868829

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order12223344666666344666121212124444481212121212122424242424242424224444121212121212121212122244446688121212122424242444121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-11111111111111111-1-111-1111-1-1111111-1-1-1-11-1-1-11-1-111111-1-1-1-11-1-1-1
χ411111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-111-1-1-1-1-1-1-11-1-1-11-1111-1-111-1-1-1111
χ5111111111111111111111111-1-111111111111111111111-1-11-1-1-111111111-1-1-1-1-1111-111-1-1-1-1-111-1-1-11-1-1
χ6111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-11-1-1-111-1-111-1-1-1-1-1-11-1111-11-1-1-111-1-1-1-11-111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-111111111-1-1
χ9111111111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-11-1-11-1-1-1-1-1-1111-1
χ10111111111111111-1-111111111111-11-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-111111-1-1-1-1-11
χ11111111111111111-1-1111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-111-1-1-1-11-111-11-1-1-11-1-111111-1-11
χ12111111111111111-1-1111111111-1-1-11-1-1-1-1111111111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-111-111-1
χ13111111111111111-1-11111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-111-1-1-1-1-11-1-11-1111-111-1-111-11-11
χ14111111111111111-1-11111111-1-111-11-1-1-1-11111111111-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-111111-11-1
χ15111111111111111-1-11111111-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-11111-111-11111-1-1-1-11-1
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-111-11
χ17222222-2-2222222200222-2-2-2-22222000000-2-2000000000000-2-22222000000-2-222000000-200-20000000000
χ18222222-2-2222222200222-2-2-2-222-2-2000000-2-20000000000002-222-2-200000022-2-2000000200-20000000000
χ19222222-2-2222222200222-2-2-2-2-2-222000000-2-2000000000000-22-2-22200000022-2-2000000-20020000000000
χ20222222-2-2222222200222-2-2-2-2-2-2-2-2000000-2-200000000000022-2-2-2-2000000-2-22200000020020000000000
χ2122222-122-12-122-1-122-1-1-1-12-1200222222-1-1-1-122-1-1-1-1-1-122002000-1-12-1-1-1-1-1000002-1-102-100000-1-1000-100
χ2222222-122-12-122-1-122-1-1-1-12-120022-2-222-1-1-1-1-2-211111122002000-1-1-21-1-11100000-2-1-10-2-10000011000100
χ2322222-122-12-122-1-122-1-1-1-12-1200-2-22222-1-1-1-122-1-1-1-1-1-1-2-200-2000112-1-1-1-1-100000-2110-210000011000100
χ2422222-122-12-122-1-122-1-1-1-12-1200-2-2-2-222-1-1-1-1-2-2111111-2-200-200011-21-1-1110000021102100000-1-1000-100
χ2522222-122-12-122-1-1-2-2-1-1-1-12-1200222-2-2-211-1-1-2-2111111-2-2002000-1-12-111-1-1000002110-2-10000011000-100
χ2622222-122-12-122-1-1-2-2-1-1-1-12-120022-22-2-211-1-122-1-1-1-1-1-1-2-2002000-1-1-21111100000-21102-100000-1-1000100
χ2722222-122-12-122-1-1-2-2-1-1-1-12-1200-2-22-2-2-211-1-1-2-21111112200-2000112-111-1-100000-2-1-102100000-1-1000100
χ2822222-122-12-122-1-1-2-2-1-1-1-12-1200-2-2-22-2-211-1-122-1-1-1-1-1-12200-200011-211111000002-1-10-210000011000-100
χ292222-12222-12-1-12-122-1-1-12-12-1220022-1-122-1-1-1-122-1-1-1-1002202-1-100-12-1-1-1-100002000200-1-1-1-1-10000-1000
χ302222-12222-12-1-12-122-1-1-12-12-12200-2-2-1-122-1-111-2-21111002202-1-1001-2-1-1110000-2000-200-1-1-11100001000
χ312222-12222-12-1-12-122-1-1-12-12-1-2-20022-1-122-1-1-1-122-1-1-1-100-2-20-21100-12-1-1-1-10000-2000-2001111100001000
χ322222-12222-12-1-12-122-1-1-12-12-1-2-200-2-2-1-122-1-111-2-2111100-2-20-211001-2-1-11100002000200111-1-10000-1000
χ332222-12222-12-1-12-1-2-2-1-1-12-12-122002-211-2-2-1-111-2-2111100-2-202-1-100-1211-1-100002000-20011-1110000-1000
χ342222-12222-12-1-12-1-2-2-1-1-12-12-12200-2211-2-2-1-1-1-122-1-1-1-100-2-202-1-1001-211110000-200020011-1-1-100001000
χ352222-12222-12-1-12-1-2-2-1-1-12-12-1-2-2002-211-2-2-1-111-2-2111100220-21100-1211-1-10000-2000200-1-11-1-100001000
χ362222-12222-12-1-12-1-2-2-1-1-12-12-1-2-200-2211-2-2-1-1-1-122-1-1-1-100220-211001-2111100002000-200-1-11110000-1000
χ3722-2-2222-22-2-22-2-2200-22-222-2-200000000002-2000000002-22-20000000000002-22-2002-20002-200000000000
χ3822-2-2222-22-2-22-2-2200-22-222-2-200000000002-2000000002-2-22000000000000-22-22002-2000-2200000000000
χ3922-2-2222-22-2-22-2-2200-22-222-2-200000000002-200000000-222-2000000000000-22-2200-220002-200000000000
χ4022-2-2222-22-2-22-2-2200-22-222-2-200000000002-200000000-22-220000000000002-22-200-22000-2200000000000
χ4122-2-222-222-2-22-2-222i−2i-22-2-2-2220000002i−2i2i−2i-22000000000000000000002i−2i002-2-22000000000000002i−2i0000
χ4222-2-222-222-2-22-2-222i−2i-22-2-2-2220000002i−2i2i−2i-22000000000000000000002i−2i00-222-200000000000000−2i2i0000
χ4322-2-222-222-2-22-2-22−2i2i-22-2-2-222000000−2i2i−2i2i-2200000000000000000000−2i2i002-2-2200000000000000−2i2i0000
χ4422-2-222-222-2-22-2-22−2i2i-22-2-2-222000000−2i2i−2i2i-2200000000000000000000−2i2i00-222-2000000000000002i−2i0000
χ4544444-2-4-4-24-244-2-200-2-2-22-42-4004400000022000000000000-4000-2-2000000000000000020000000000000
χ4644444-2-4-4-24-244-2-200-2-2-22-42-400-4-4000000220000000000004000220000000000000000-20000000000000
χ474444-24-4-44-24-2-24-200-2-2-2-42-424400000000220000000000000-4-2-200000000000000000000020000000000
χ484444-24-4-44-24-2-24-200-2-2-2-42-42-4-400000000220000000000000422000000000000000000000-20000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-211-2-2-2-211110000000000-2-21111000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-2-2-2112222-1-1-1-100000000002211-1-1000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-42222112222-1-1-1-10000000000-2-2-1-111000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-44222211-2-2-2-21111000000000022-1-1-1-1000000000000000000000000
χ5344-4-44-24-4-2-424-42-2002-22-242-40000000000-22000000004-400000000000000000000-220000000000000000
χ5444-4-44-24-4-2-424-42-2002-22-242-40000000000-2200000000-44000000000000000000002-20000000000000000
χ5544-4-44-2-44-2-424-42-24i−4i2-222-4-240000004i−4i−2i2i2-200000000000000000000−2i2i00000000000000000000000000
χ5644-4-44-2-44-2-424-42-2−4i4i2-222-4-24000000−4i4i2i−2i2-2000000000000000000002i−2i00000000000000000000000000
χ5744-4-4-244-442-4-22-4-2002-224-2-420000000000-2200000000004-400000000000000000000000-2200000000000
χ5844-4-4-244-442-4-22-4-2002-224-2-420000000000-220000000000-44000000000000000000000002-200000000000
χ5944-4-4-24-4442-4-22-4-24i−4i2-22-424-2000000−2i2i4i−4i2-200000000000000000000−2i2i00000000000000000000000000
χ6044-4-4-24-4442-4-22-4-2−4i4i2-22-424-20000002i−2i−4i4i2-2000000000000000000002i−2i00000000000000000000000000
χ6144-4-4-2-2-44-222-22214i−4i-11-122-2-2000000−2i2i−2i2i-11000033-3-3000000000000i−i3i−3i000000000000000000000000
χ6244-4-4-2-2-44-222-22214i−4i-11-122-2-2000000−2i2i−2i2i-110000-3-333000000000000i−i−3i3i000000000000000000000000
χ6344-4-4-2-2-44-222-2221−4i4i-11-122-2-20000002i−2i2i−2i-11000033-3-3000000000000−ii−3i3i000000000000000000000000
χ6444-4-4-2-2-44-222-2221−4i4i-11-122-2-20000002i−2i2i−2i-110000-3-333000000000000−ii3i−3i000000000000000000000000
χ654-44-44400-444-4-4-44004-4-400004-40000000000000000000000004-400000000000000000000000000000000
χ664-44-44400-444-4-4-44004-4-40000-44000000000000000000000000-4400000000000000000000000000000000
χ674-44-4-2400-4-2422-4-200-22200004-40000000000i6−i600i6−i6i6−i6000000-220000000000000000000000i6−i600000000
χ684-44-4-2400-4-2422-4-200-22200004-40000000000−i6i600−i6i6−i6i6000000-220000000000000000000000−i6i600000000
χ694-44-4-2400-4-2422-4-200-2220000-440000000000i6−i600i6−i6i6−i60000002-20000000000000000000000−i6i600000000
χ704-44-4-2400-4-2422-4-200-2220000-440000000000−i6i600−i6i6−i6i60000002-20000000000000000000000i6−i600000000
χ714-4-444400-4-4-4-444400-4-440000004-40000000000000000000000004-4000000000000000000000000000000
χ724-4-444400-4-4-4-444400-4-44000000-44000000000000000000000000-44000000000000000000000000000000
χ734-4-444-2002-42-44-2-20022-20000004-40000000000i6−i6i6−i6−i6i600000000-220000000000000000000000i6−i6000000
χ744-4-444-2002-42-44-2-20022-20000004-40000000000−i6i6−i6i6i6−i600000000-220000000000000000000000−i6i6000000
χ754-4-444-2002-42-44-2-20022-2000000-440000000000i6−i6i6−i6−i6i6000000002-20000000000000000000000−i6i6000000
χ764-4-444-2002-42-44-2-20022-2000000-440000000000−i6i6−i6i6i6−i6000000002-20000000000000000000000i6−i6000000
χ778888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-8-4-48-8-444-444200-22-2-4-44400000000002-2000000000000000000000000000000000000000000000000
χ798-88-88-40048-4-8-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-4004-4-44442002-2-200000000000000002i6−2i600−i6i6−i6i60000000000000000000000000000000000000000
χ818-88-8-4-4004-4-44442002-2-20000000000000000−2i62i600i6−i6i6−i60000000000000000000000000000000000000000
χ828-8-88-4800-84-84-48-40044-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004444-4-4200-2-220000000000000000002i6−2i6−i6i6i6−i60000000000000000000000000000000000000000
χ848-8-88-4-4004444-4-4200-2-22000000000000000000−2i62i6i6−i6−i6i60000000000000000000000000000000000000000

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