Finite Group Databasebeta

← Group #11923045

Character table — Group #11923045

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222223333444444446666668888888888881212121212121212161616161616161616161616161616161616363636363636363672727272
order1222344666222222666612124466663336666666662266661212666666666666121212121212224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ411111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ511111-1-111111111-111-1-1-1-1-1-111111111111111111-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ611111-1-111111111-111-1-1-1-1-1-111111111111111111-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ711111-1-11111111-11-1-111-1-1-1-11111111111111111-11-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-11-11
χ811111-1-11111111-11-1-111-1-1-1-11111111111111111-11-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111-11-1
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
χ1022222222222222-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222111111111111-1-1-1-1-1-1000000000000
χ1122222-2-222222222-222-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-12-222-2-2-2-2-1-1-1-1-1-1111111111111000000000000
χ1222222-2-22222222-22-2-222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-22-2-222-2-2111111-1-1-1-1-1-1111111000000000000
χ132222-122-1-1-1222222-1-1-1-1-1-122-1-1-1-12-1-122-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1000000000000
χ142222-122-1-1-1222222-1-1-1-1-1-122-1-1-1-1-12-1-1-122-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1000000000000
χ152222-122-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-122-1-1222-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122000000000000
χ162222-122-1-1-12222-2-21111-1-122-1-1-1-12-1-122-1-1-1-12-1-1-2-21111-1-1-2-21111-2-2111122-1-1-1-1000000000000
χ172222-122-1-1-12222-2-21111-1-122-1-1-1-1-12-1-1-122-1-1-12-1-2-21111-1-111-2-21111-2-211-1-122-1-1000000000000
χ182222-122-1-1-12222-2-21111-1-122-1-1-1-1-1-12-1-1-1-122-1-12-2-21111-1-11111-2-21111-2-2-1-1-1-122000000000000
χ192222-1-2-2-1-1-122222-2-1-11111-2-2-1-1-1-12-1-122-1-1-1-12-1-12-2-1-1111122-1-1-1-1-2-21111-2-21111000000000000
χ202222-1-2-2-1-1-122222-2-1-11111-2-2-1-1-1-1-12-1-1-122-1-1-12-12-2-1-11111-1-122-1-111-2-21111-2-211000000000000
χ212222-1-2-2-1-1-122222-2-1-11111-2-2-1-1-1-1-1-12-1-1-1-122-1-122-2-1-11111-1-1-1-1221111-2-21111-2-2000000000000
χ222222-1-2-2-1-1-12222-2211-1-111-2-2-1-1-1-12-1-122-1-1-1-12-1-1-2211-1-111-2-2111122-1-1-1-1-2-21111000000000000
χ232222-1-2-2-1-1-12222-2211-1-111-2-2-1-1-1-1-12-1-1-122-1-1-12-1-2211-1-11111-2-211-1-122-1-111-2-211000000000000
χ242222-1-2-2-1-1-12222-2211-1-111-2-2-1-1-1-1-1-12-1-1-1-122-1-12-2211-1-1111111-2-2-1-1-1-1221111-2-2000000000000
χ2522-2-22002-2-222-2-2000000000022-2-22222-22-22-2-2-2-200000000000000000000000000002i−2i002i−2i0000
χ2622-2-22002-2-222-2-2000000000022-2-22222-22-22-2-2-2-20000000000000000000000000000−2i2i00−2i2i0000
χ272-22-222-2-2-22-222-20000002-22-22-22-2222-2-2-2-2-2-22220000002-20000000000002-22-22-2000000000000
χ282-22-222-2-2-22-222-20000002-22-22-22-2-1-1-1111111-1-1-10000002-2−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-11-11-11000000000000
χ292-22-222-2-2-22-222-20000002-22-22-22-2-1-1-1111111-1-1-10000002-2i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-11-11-11000000000000
χ302-22-22-22-2-22-222-2000000-22-222-22-2222-2-2-2-2-2-2222000000-22000000000000-22-22-22000000000000
χ312-22-22-22-2-22-222-2000000-22-222-22-2-1-1-1111111-1-1-1000000-22−i3i3−i3i3−i3i3i3−i3i3−i3i3−i31-11-11-1000000000000
χ322-22-22-22-2-22-222-2000000-22-222-22-2-1-1-1111111-1-1-1000000-22i3−i3i3−i3i3−i3−i3i3−i3i3−i3i31-11-11-1000000000000
χ332-22-2-12-211-1-222-200−i3i3−i3i3-112-2-11-112-1-1-2-211112-1-100−i3i3−i3i3-1100−i3i3i3−i300−i3i3i3−i32-2-11-11000000000000
χ342-22-2-12-211-1-222-200−i3i3−i3i3-112-2-11-11-12-111-2-211-12-100−i3i3−i3i3-11i3−i300−i3i3i3−i300−i3i3-112-2-11000000000000
χ352-22-2-12-211-1-222-200−i3i3−i3i3-112-2-11-11-1-121111-2-2-1-1200−i3i3−i3i3-11−i3i3i3−i300−i3i3i3−i300-11-112-2000000000000
χ362-22-2-12-211-1-222-200i3−i3i3−i3-112-2-11-112-1-1-2-211112-1-100i3−i3i3−i3-1100i3−i3−i3i300i3−i3−i3i32-2-11-11000000000000
χ372-22-2-12-211-1-222-200i3−i3i3−i3-112-2-11-11-12-111-2-211-12-100i3−i3i3−i3-11−i3i300i3−i3−i3i300i3−i3-112-2-11000000000000
χ382-22-2-12-211-1-222-200i3−i3i3−i3-112-2-11-11-1-121111-2-2-1-1200i3−i3i3−i3-11i3−i3−i3i300i3−i3−i3i300-11-112-2000000000000
χ392-22-2-1-2211-1-222-200−i3i3i3−i31-1-22-11-112-1-1-2-211112-1-100−i3i3i3−i31-100−i3i3i3−i300i3−i3−i3i3-221-11-1000000000000
χ402-22-2-1-2211-1-222-200−i3i3i3−i31-1-22-11-11-12-111-2-211-12-100−i3i3i3−i31-1i3−i300−i3i3−i3i300i3−i31-1-221-1000000000000
χ412-22-2-1-2211-1-222-200−i3i3i3−i31-1-22-11-11-1-121111-2-2-1-1200−i3i3i3−i31-1−i3i3i3−i300i3−i3−i3i3001-11-1-22000000000000
χ422-22-2-1-2211-1-222-200i3−i3−i3i31-1-22-11-112-1-1-2-211112-1-100i3−i3−i3i31-100i3−i3−i3i300−i3i3i3−i3-221-11-1000000000000
χ432-22-2-1-2211-1-222-200i3−i3−i3i31-1-22-11-11-12-111-2-211-12-100i3−i3−i3i31-1−i3i300i3−i3i3−i300−i3i31-1-221-1000000000000
χ442-22-2-1-2211-1-222-200i3−i3−i3i31-1-22-11-11-1-121111-2-2-1-1200i3−i3−i3i31-1i3−i3−i3i300−i3i3i3−i3001-11-1-22000000000000
χ452-2-22200-22-2-22-2200000000002-2-22222-22-22-22-2-2-2000000000000000000000000002-2002-2000000
χ462-2-22200-22-2-22-2200000000002-2-22222-22-22-22-2-2-200000000000000000000000000-2200-22000000
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
χ493333333333-1-1-1-1-3-3-3-3-3-333-1-1-1-1-1-1000000000000111111-1-10000000000000000001111-1-1-1-1-1-111
χ503333333333-1-1-1-1-3-3-3-3-3-333-1-1-1-1-1-1000000000000111111-1-1000000000000000000-1-1-1-1111111-1-1
χ5133333-3-3333-1-1-1-13-333-3-3-3-311-1-1-1-1000000000000-11-1-1111100000000000000000011-1-1-1-1111-1-11
χ5233333-3-3333-1-1-1-13-333-3-3-3-311-1-1-1-1000000000000-11-1-11111000000000000000000-1-11111-1-1-111-1
χ5333333-3-3333-1-1-1-1-33-3-333-3-311-1-1-1-10000000000001-111-1-11100000000000000000011-1-1-1-111-111-1
χ5433333-3-3333-1-1-1-1-33-3-333-3-311-1-1-1-10000000000001-111-1-111000000000000000000-1-11111-1-11-1-11
χ5544-4-44004-4-444-4-4000000000044-4-4-2-2-2-22-22-2222200000000000000000000000000000000000000
χ5644-4-4-200-22244-4-40000000000-2-2224-2-24-4-22-22-42200000000000000000000000000000000000000
χ5744-4-4-200-22244-4-40000000000-2-222-24-2-224-4-222-4200000000000000000000000000000000000000
χ5844-4-4-200-22244-4-40000000000-2-222-2-24-22-224-422-400000000000000000000000000000000000000
χ594-4-44400-44-4-44-4400000000004-4-44-2-2-22-22-22-222200000000000000000000000000000000000000
χ604-4-44-2002-22-44-440000000000-222-24-2-2-442-22-2-42200000000000000000000000000000000000000
χ614-4-44-2002-22-44-440000000000-222-2-24-22-2-442-22-4200000000000000000000000000000000000000
χ624-4-44-2002-22-44-440000000000-222-2-2-242-22-2-4422-400000000000000000000000000000000000000
χ636666-366-3-3-3-2-2-2-266-3-3-3-3-3-3-2-21111000000000000-2-2111111000000000000000000000000000000
χ646666-366-3-3-3-2-2-2-2-6-63333-3-3-2-2111100000000000022-1-1-1-111000000000000000000000000000000
χ656666-3-6-6-3-3-3-2-2-2-26-6-3-33333221111000000000000-2211-1-1-1-1000000000000000000000000000000
χ666666-3-6-6-3-3-3-2-2-2-2-6633-3-3332211110000000000002-2-1-111-1-1000000000000000000000000000000
χ6766-6-66006-6-6-2-2220000000000-2-22200000000000000000000000000000000000000002i−2i00−2i2i0000
χ6866-6-66006-6-6-2-2220000000000-2-2220000000000000000000000000000000000000000−2i2i002i−2i0000
χ696-66-666-6-6-662-2-220000006-6-22-22-22000000000000000000-22000000000000000000000000000000
χ706-66-66-66-6-662-2-22000000-662-2-22-220000000000000000002-2000000000000000000000000000000
χ716-66-6-36-633-32-2-2200−3i33i3−3i33i3-33-221-11-100000000000000i3−i3i3−i31-1000000000000000000000000000000
χ726-66-6-36-633-32-2-22003i3−3i33i3−3i3-33-221-11-100000000000000−i3i3−i3i31-1000000000000000000000000000000
χ736-66-6-3-6633-32-2-2200−3i33i33i3−3i33-32-21-11-100000000000000i3−i3−i3i3-11000000000000000000000000000000
χ746-66-6-3-6633-32-2-22003i3−3i3−3i33i33-32-21-11-100000000000000−i3i3i3−i3-11000000000000000000000000000000
χ756-6-66600-66-62-22-20000000000-222-2000000000000000000000000000000000000002-200-22000000
χ766-6-66600-66-62-22-20000000000-222-200000000000000000000000000000000000000-22002-2000000
χ771212-12-12-600-666-4-444000000000022-2-200000000000000000000000000000000000000000000000000
χ7812-12-1212-6006-664-44-400000000002-2-2200000000000000000000000000000000000000000000000000

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