Finite Group Databasebeta

← Group #11873325

Character table — Group #11873325

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444444888888888812121212121212121212121216161616161616161818181824242424242424242424242424242424242436367272
order1222334466666634466612121212121212124412121212121212124444444488881212121212121212444488121212121212121224242424242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111-1-11111111111-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1111111-1-1-1-1-1-111
χ81111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1
χ9111111111111111-1-1111-1-1-1-111111-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-11-1-1-1-1111111-1-111-1-1111-1
χ10111111111111111-1-1111-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-11
χ11111111111111111-1-1111-1-1-1-111111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-111-1-11111-1-1-1-1-11
χ12111111111111111-1-1111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-11-11111-1-1-1-1-1-111-1-111111-1
χ13111111111111111-1-1111-1-1-1-11111-11-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-1-1-11-1-1-1-1-11111-1-111-1-11111-11
χ14111111111111111-1-1111-1-1-1-11111-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-11111-1-1-1-11111-1-1-1-11-1
χ15111111111111111-1-1111-1-1-1-11111-11-1-1-1-1-1-111-1-11111-1-11111-1-111-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-11-1
χ16111111111111111-1-1111-1-1-1-11111-11-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-111111-1-1-1-111-1-111-1-111-11
χ17222222-2-222222222-222222-2-2-2-2-2-2002-222-2-2-2-20000000000000000000022-2-20000000000000000002-200
χ18222222-2-222222222-222222-2-2-2-2-2-2002-222-2-2-2-200000000000000000000-2-222000000000000000000-2200
χ19222222-2-22222222-22222-2-222-2-2-2-200-22-2-222-2-20000000000000000000022-2-2000000000000000000-2200
χ20222222-2-22222222-22222-2-222-2-2-2-200-22-2-222-2-200000000000000000000-2-2220000000000000000002-200
χ2122222-1222-12-12-1-122-1-1-122-1-12-12-122-12-1-1-1-1-1-10022002200222-12-1-1-1-1-100000200-1-100-1-10000-1-1-1-10000
χ2222222-1222-12-12-1-122-1-1-122-1-12-12-122-12-1-1-1-1-1-100-2-200-2-200-2-22-12-1-1-1-1-100000-200110011000011110000
χ2322222-1222-12-12-1-122-1-1-122-1-12-12-1-2-2-12-1-1-1-1-1-10022002200-2-2-21-21111100000-200-1-100-1-1000011110000
χ2422222-1222-12-12-1-122-1-1-122-1-12-12-1-2-2-12-1-1-1-1-1-100-2-200-2-20022-21-211111000002001100110000-1-1-1-10000
χ2522222-1222-12-12-1-1-2-2-1-1-1-2-2112-12-12-21-21111-1-1002200-2-200-2-22-1-21-1-111000002001100-1-10000-1-1110000
χ2622222-1222-12-12-1-1-2-2-1-1-1-2-2112-12-12-21-21111-1-100-2-2002200222-1-21-1-11100000-200-1-10011000011-1-10000
χ2722222-1222-12-12-1-1-2-2-1-1-1-2-2112-12-1-221-21111-1-1002200-2-20022-212-111-1-100000-2001100-1-1000011-1-10000
χ2822222-1222-12-12-1-1-2-2-1-1-1-2-2112-12-1-221-21111-1-100-2-2002200-2-2-212-111-1-100000200-1-100110000-1-1110000
χ292222-1222-12-12-12-122-1-1-1-1-122-12-12222-1-1-1-1-1-1-1220022002200-12-12-1-1-1-1000020-1-100-1-100-1-1-1-100000000
χ302222-1222-12-12-12-122-1-1-1-1-122-12-12222-1-1-1-1-1-1-1-2-200-2-200-2-200-12-12-1-1-1-10000-2011001100111100000000
χ312222-1222-12-12-12-122-1-1-1-1-122-12-12-2-22-1-1-1-1-1-1-122002200-2-2001-21-211110000-20-1-100-1-100111100000000
χ322222-1222-12-12-12-122-1-1-1-1-122-12-12-2-22-1-1-1-1-1-1-1-2-200-2-20022001-21-2111100002011001100-1-1-1-100000000
χ332222-1222-12-12-12-1-2-2-1-1-111-2-2-12-122-2-211111-1-12200-2-2002200-121-2-1-1110000-201100-1-100-1-11100000000
χ342222-1222-12-12-12-1-2-2-1-1-111-2-2-12-122-2-211111-1-1-2-2002200-2-200-121-2-1-111000020-1-100110011-1-100000000
χ352222-1222-12-12-12-1-2-2-1-1-111-2-2-12-12-22-211111-1-12200-2-200-2-2001-2-1211-1-10000201100-1-10011-1-100000000
χ362222-1222-12-12-12-1-2-2-1-1-111-2-2-12-12-22-211111-1-1-2-200220022001-2-1211-1-10000-20-1-1001100-1-11100000000
χ3722-2-2222-2-2-2-2-222200-2-2200002-2-22000000002-2002-22i−2i000000000000002i−2i2i−2i002i−2i00002-2000000000000
χ3822-2-2222-2-2-2-2-222200-2-2200002-2-22000000002-2002-2−2i2i00000000000000−2i2i−2i2i00−2i2i00002-2000000000000
χ3922-2-2222-2-2-2-2-222200-2-2200002-2-22000000002-200-222i−2i00000000000000−2i2i−2i2i002i−2i0000-22000000000000
χ4022-2-2222-2-2-2-2-222200-2-2200002-2-22000000002-200-22−2i2i000000000000002i−2i2i−2i00−2i2i0000-22000000000000
χ4122-2-222-22-2-2-2-222200-2-220000-222-200000000-222-200002i−2i0000000000002i−2i−2i2i00002i−2i2-200000000000000
χ4222-2-222-22-2-2-2-222200-2-220000-222-200000000-222-20000−2i2i000000000000−2i2i2i−2i0000−2i2i2-200000000000000
χ4322-2-222-22-2-2-2-222200-2-220000-222-200000000-22-2200002i−2i000000000000−2i2i2i−2i00002i−2i-2200000000000000
χ4422-2-222-22-2-2-2-222200-2-220000-222-200000000-22-220000−2i2i0000000000002i−2i−2i2i0000−2i2i-2200000000000000
χ4544444-2-4-44-24-24-2-24-4-2-2-24422-42-4200-2-4-2-222220000000000000000000000000000000000000000000000
χ4644444-2-4-44-24-24-2-2-44-2-2-2-4-4-2-2-42-42002422-2-2220000000000000000000000000000000000000000000000
χ474444-24-4-4-24-24-24-24-4-2-2-2-2-2-4-42-42-40042-2-222220000000000000000000000000000000000000000000000
χ484444-24-4-4-24-24-24-2-44-2-2-222442-42-400-4-222-2-2220000000000000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-244-2-2111111000000000000-2-2-2-2111100000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2-4-4-2-21111110000000000002222-1-1-1-100000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-41112222-2-2-2-24-422-1-1-1-111000000000000-2-22211-1-100000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-41112222-2-2-2-2-4422-1-1-1-11100000000000022-2-2-1-11100000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-214-4111-2-222222200-2211-1-1-1-100000000000000003-33-300000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-214-4111-2-222222200-2211-1-1-1-10000000000000000-33-3300000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-21-4411122-2-22222002-2-1-111-1-100000000000000003-3-3300000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-21-4411122-2-22222002-2-1-111-1-10000000000000000-333-300000000000000000000000000
χ5744-4-44-24-4-42-424-2-20022-2000042-4-200000000-22004-40000000000000000000000000000-22000000000000
χ5844-4-44-24-4-42-424-2-20022-2000042-4-200000000-2200-4400000000000000000000000000002-2000000000000
χ5944-4-44-2-44-42-424-2-20022-20000-4-242000000002-20000004i−4i00000000000000000000−2i2i0000000000000000
χ6044-4-44-2-44-42-424-2-20022-20000-4-242000000002-2000000−4i4i000000000000000000002i−2i0000000000000000
χ6144-4-4-244-42-42-4-24-20022-20000-2-42400000000-2200004i−4i00000000000000000000−2i2i000000000000000000
χ6244-4-4-244-42-42-4-24-20022-20000-2-42400000000-220000−4i4i000000000000000000002i−2i000000000000000000
χ6344-4-4-24-442-42-4-24-20022-2000024-2-4000000002-24-40000000000000000000000000000-2200000000000000
χ6444-4-4-24-442-42-4-24-20022-2000024-2-4000000002-2-4400000000000000000000000000002-200000000000000
χ654-44-444004-4-44-4-44004-4-40000000000000000000000000022−2200000000000000000000000022−220000000000
χ664-44-444004-4-44-4-44004-4-400000000000000000000000000−2222000000000000000000000000−22220000000000
χ674-44-4-2400-2-4242-4-200-222−2i32i30000000000−2i32i300000000000022−22000000000000000000000000−22i6−i600000000
χ684-44-4-2400-2-4242-4-200-222−2i32i30000000000−2i32i3000000000000−22220000000000000000000000002−2−i6i600000000
χ694-44-4-2400-2-4242-4-200-2222i3−2i300000000002i3−2i300000000000022−22000000000000000000000000−22−i6i600000000
χ704-44-4-2400-2-4242-4-200-2222i3−2i300000000002i3−2i3000000000000−22220000000000000000000000002−2i6−i600000000
χ714-4-444400-444-4-4-4400-44-4000000000000000000000000000022−22000000000000000000000000000022−220000
χ724-4-444400-444-4-4-4400-44-40000000000000000000000000000−22220000000000000000000000000000−22220000
χ734-4-444-200-4-242-42-2002-2200−2i32i30000000000−2i32i300000000000022−2200000000000000000000000000i6−i6−220000
χ744-4-444-200-4-242-42-2002-2200−2i32i30000000000−2i32i3000000000000−222200000000000000000000000000−i6i62−20000
χ754-4-444-200-4-242-42-2002-22002i3−2i300000000002i3−2i300000000000022−2200000000000000000000000000−i6i6−220000
χ764-4-444-200-4-242-42-2002-22002i3−2i300000000002i3−2i3000000000000−222200000000000000000000000000i6−i62−20000
χ7788-8-8-4-48-84444-4-4200-2-220000-444-4000000002-20000000000000000000000000000000000000000000000
χ7888-8-8-4-4-884444-4-4200-2-2200004-4-4400000000-220000000000000000000000000000000000000000000000
χ798-88-88-40084-8-4-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-400-444-4442002-2-2−4i34i300000000002i3−2i300000000000000000000000000000000000000000000000000
χ818-88-8-4-400-444-4442002-2-24i3−4i30000000000−2i32i300000000000000000000000000000000000000000000000000
χ828-8-88-480048-4-84-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004-4-4444200-22-200−4i34i300000000002i3−2i3000000000000000000000000000000000000000000000000
χ848-8-88-4-4004-4-4444200-22-2004i3−4i30000000000−2i32i3000000000000000000000000000000000000000000000000

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