Finite Group Databasebeta

← Group #11923040

Character table — Group #11923040

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222223333444444446666668888888888881212121212121212161616161616161616161616161616161616363636363636363672727272
order1222223666222224666612122266663336666666662466661212666666666666121212121212444444442444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111-1-111-1-1-1-1111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111-1-111-1-1-1-1111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1111111111-1-1-111-1-1-1-111111111111111111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11-11-1
χ61111-1-1111111111-1-1-111-1-1-1-111111111111111111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-11-11
χ71111-1-111111111-11-1-1-1-111-1-11111111111111111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-11-11
χ81111-1-111111111-11-1-1-1-111-1-11111111111111111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1111-11-1
χ92222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1022222222222222-2-222-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-1-1-1111111111111000000000000
χ11222222-1-1-1-1222222-1-1-1-1-1-122-1-1-1-12-1-122-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1000000000000
χ12222222-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-12-1-1-122-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1000000000000
χ13222222-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-122-1-1222-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122000000000000
χ14222222-1-1-1-12222-2-2-1-1111122-1-1-1-12-1-122-1-1-1-12-1-1-2-2-1-1111122-1-1-1-1-2-21111-2-21111000000000000
χ15222222-1-1-1-12222-2-2-1-1111122-1-1-1-1-12-1-1-122-1-1-12-1-2-2-1-11111-1-122-1-111-2-21111-2-211000000000000
χ16222222-1-1-1-12222-2-2-1-1111122-1-1-1-1-1-12-1-1-1-122-1-12-2-2-1-11111-1-1-1-1221111-2-21111-2-2000000000000
χ172222-2-2222222222-2-2-222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-222-2-2111111-1-1-1-1-1-1111111000000000000
χ182222-2-222222222-22-2-2-2-222-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-22-2-2-2-222111111111111-1-1-1-1-1-1000000000000
χ192222-2-2-1-1-1-122222-211-1-111-2-2-1-1-1-12-1-122-1-1-1-12-1-12-211-1-111-2-2111122-1-1-1-1-2-21111000000000000
χ202222-2-2-1-1-1-122222-211-1-111-2-2-1-1-1-1-12-1-1-122-1-1-12-12-211-1-11111-2-211-1-122-1-111-2-211000000000000
χ212222-2-2-1-1-1-122222-211-1-111-2-2-1-1-1-1-1-12-1-1-1-122-1-122-211-1-1111111-2-2-1-1-1-1221111-2-2000000000000
χ222222-2-2-1-1-1-12222-221111-1-1-2-2-1-1-1-12-1-122-1-1-1-12-1-1-221111-1-1-2-21111-2-2111122-1-1-1-1000000000000
χ232222-2-2-1-1-1-12222-221111-1-1-2-2-1-1-1-1-12-1-1-122-1-1-12-1-221111-1-111-2-21111-2-211-1-122-1-1000000000000
χ242222-2-2-1-1-1-12222-221111-1-1-2-2-1-1-1-1-1-12-1-1-1-122-1-12-221111-1-11111-2-21111-2-2-1-1-1-122000000000000
χ2522-2-20022-2-222-2-2000000000022-2-22222-22-22-2-2-2-200000000000000000000000000002i−2i002i−2i0000
χ2622-2-20022-2-222-2-2000000000022-2-22222-22-22-2-2-2-20000000000000000000000000000−2i2i00−2i2i0000
χ272-22-22-22-2-22-222-2002-200002-22-22-2222-2-2-2-2-2-2222002-200002-22-22-2000000000000000000000000
χ282-22-22-22-2-22-222-2002-200002-22-22-2-1-1-1111111-1-1-1002-20000-11-11-11−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000
χ292-22-22-22-2-22-222-2002-200002-22-22-2-1-1-1111111-1-1-1002-20000-11-11-11i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000
χ302-22-22-2-111-1-222-200-11−i3i3−i3i32-2-11-112-1-1-2-211112-1-100-11−i3i3−i3i32-2-11-1100−i3i3i3−i300−i3i3i3−i3000000000000
χ312-22-22-2-111-1-222-200-11−i3i3−i3i32-2-11-11-12-111-2-211-12-100-11−i3i3−i3i3-112-2-11i3−i300−i3i3i3−i300−i3i3000000000000
χ322-22-22-2-111-1-222-200-11−i3i3−i3i32-2-11-11-1-121111-2-2-1-1200-11−i3i3−i3i3-11-112-2−i3i3i3−i300−i3i3i3−i300000000000000
χ332-22-22-2-111-1-222-200-11i3−i3i3−i32-2-11-112-1-1-2-211112-1-100-11i3−i3i3−i32-2-11-1100i3−i3−i3i300i3−i3−i3i3000000000000
χ342-22-22-2-111-1-222-200-11i3−i3i3−i32-2-11-11-12-111-2-211-12-100-11i3−i3i3−i3-112-2-11−i3i300i3−i3−i3i300i3−i3000000000000
χ352-22-22-2-111-1-222-200-11i3−i3i3−i32-2-11-11-1-121111-2-2-1-1200-11i3−i3i3−i3-11-112-2i3−i3−i3i300i3−i3−i3i300000000000000
χ362-22-2-222-2-22-222-200-220000-222-22-2222-2-2-2-2-2-222200-220000-22-22-22000000000000000000000000
χ372-22-2-222-2-22-222-200-220000-222-22-2-1-1-1111111-1-1-100-2200001-11-11-1−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3000000000000
χ382-22-2-222-2-22-222-200-220000-222-22-2-1-1-1111111-1-1-100-2200001-11-11-1i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3000000000000
χ392-22-2-22-111-1-222-2001-1−i3i3i3−i3-22-11-112-1-1-2-211112-1-1001-1−i3i3i3−i3-221-11-100−i3i3i3−i300i3−i3−i3i3000000000000
χ402-22-2-22-111-1-222-2001-1−i3i3i3−i3-22-11-11-12-111-2-211-12-1001-1−i3i3i3−i31-1-221-1i3−i300−i3i3−i3i300i3−i3000000000000
χ412-22-2-22-111-1-222-2001-1−i3i3i3−i3-22-11-11-1-121111-2-2-1-12001-1−i3i3i3−i31-11-1-22−i3i3i3−i300i3−i3−i3i300000000000000
χ422-22-2-22-111-1-222-2001-1i3−i3−i3i3-22-11-112-1-1-2-211112-1-1001-1i3−i3−i3i3-221-11-100i3−i3−i3i300−i3i3i3−i3000000000000
χ432-22-2-22-111-1-222-2001-1i3−i3−i3i3-22-11-11-12-111-2-211-12-1001-1i3−i3−i3i31-1-221-1−i3i300i3−i3i3−i300−i3i3000000000000
χ442-22-2-22-111-1-222-2001-1i3−i3−i3i3-22-11-11-1-121111-2-2-1-12001-1i3−i3−i3i31-11-1-22i3−i3−i3i300−i3i3i3−i300000000000000
χ452-2-22002-22-2-22-2200000000002-2-22222-22-22-22-2-2-2000000000000000000000000002-2002-2000000
χ462-2-22002-22-2-22-2200000000002-2-22222-22-22-22-2-2-200000000000000000000000000-2200-22000000
χ473333333333-1-1-1-133333333-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-10000000000000000001111-1-1-1-111-1-1
χ483333333333-1-1-1-133333333-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1000000000000000000-1-1-1-11111-1-111
χ493333333333-1-1-1-1-3-333-3-3-3-3-1-1-1-1-1-100000000000011-1-111110000000000000000001111-1-1-1-1-1-111
χ503333333333-1-1-1-1-3-333-3-3-3-3-1-1-1-1-1-100000000000011-1-11111000000000000000000-1-1-1-1111111-1-1
χ513333-3-33333-1-1-1-13-3-3-333-3-311-1-1-1-1000000000000-1111-1-11100000000000000000011-1-1-1-1111-1-11
χ523333-3-33333-1-1-1-13-3-3-333-3-311-1-1-1-1000000000000-1111-1-111000000000000000000-1-11111-1-1-111-1
χ533333-3-33333-1-1-1-1-33-3-3-3-33311-1-1-1-10000000000001-11111-1-100000000000000000011-1-1-1-111-111-1
χ543333-3-33333-1-1-1-1-33-3-3-3-33311-1-1-1-10000000000001-11111-1-1000000000000000000-1-11111-1-11-1-11
χ5544-4-40044-4-444-4-4000000000044-4-4-2-2-2-22-22-2222200000000000000000000000000000000000000
χ5644-4-400-2-22244-4-40000000000-2-2224-2-24-4-22-22-42200000000000000000000000000000000000000
χ5744-4-400-2-22244-4-40000000000-2-222-24-2-224-4-222-4200000000000000000000000000000000000000
χ5844-4-400-2-22244-4-40000000000-2-222-2-24-22-224-422-400000000000000000000000000000000000000
χ594-4-44004-44-4-44-4400000000004-4-44-2-2-22-22-22-222200000000000000000000000000000000000000
χ604-4-4400-22-22-44-440000000000-222-24-2-2-442-22-2-42200000000000000000000000000000000000000
χ614-4-4400-22-22-44-440000000000-222-2-24-22-2-442-22-4200000000000000000000000000000000000000
χ624-4-4400-22-22-44-440000000000-222-2-2-242-22-2-4422-400000000000000000000000000000000000000
χ63666666-3-3-3-3-2-2-2-266-3-3-3-3-3-3-2-21111000000000000-2-2111111000000000000000000000000000000
χ64666666-3-3-3-3-2-2-2-2-6-6-3-33333-2-211110000000000002211-1-1-1-1000000000000000000000000000000
χ656666-6-6-3-3-3-3-2-2-2-26-633-3-333221111000000000000-22-1-111-1-1000000000000000000000000000000
χ666666-6-6-3-3-3-3-2-2-2-2-663333-3-32211110000000000002-2-1-1-1-111000000000000000000000000000000
χ6766-6-60066-6-6-2-2220000000000-2-22200000000000000000000000000000000000000002i−2i00−2i2i0000
χ6866-6-60066-6-6-2-2220000000000-2-2220000000000000000000000000000000000000000−2i2i002i−2i0000
χ696-66-66-66-6-662-2-22006-60000-22-22-2200000000000000-220000000000000000000000000000000000
χ706-66-66-6-333-32-2-2200-33−3i33i3−3i33i3-221-11-1000000000000001-1i3−i3i3−i3000000000000000000000000000000
χ716-66-66-6-333-32-2-2200-333i3−3i33i3−3i3-221-11-1000000000000001-1−i3i3−i3i3000000000000000000000000000000
χ726-66-6-666-6-662-2-2200-6600002-2-22-22000000000000002-20000000000000000000000000000000000
χ736-66-6-66-333-32-2-22003-3−3i33i33i3−3i32-21-11-100000000000000-11i3−i3−i3i3000000000000000000000000000000
χ746-66-6-66-333-32-2-22003-33i3−3i3−3i33i32-21-11-100000000000000-11−i3i3i3−i3000000000000000000000000000000
χ756-6-66006-66-62-22-20000000000-222-2000000000000000000000000000000000000002-200-22000000
χ766-6-66006-66-62-22-20000000000-222-200000000000000000000000000000000000000-22002-2000000
χ771212-12-1200-6-666-4-444000000000022-2-200000000000000000000000000000000000000000000000000
χ7812-12-121200-66-664-44-400000000002-2-2200000000000000000000000000000000000000000000000000

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