Finite Group Databasebeta

← Group #11792778

Character table — Group #11792778

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order1222223344446666663666666612121212121212121212121266881212242424242424242424242424242424244444888812121212121212122424242424242424888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1
χ922222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222i−2i-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i000000000000000000000000000000
χ1022222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-222−2i2i-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i000000000000000000000000000000
χ112222222-1222222-1-12-1-122-1-1-1-1-122-1-1-1-12-1-1-12-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1002200220000-1-1-1-10000-1-1-1-1000000
χ122222222-1222222-1-12-1-122-1-1-1-1-122-1-1-1-12-1-1-12-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-100-2-200-2-20000111100001111000000
χ132222222-1222222-1-12-1-122-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-2-2-1-1-2-2111111-2-2111111002200-2-20000-1-1-1-100001111000000
χ142222222-1222222-1-12-1-122-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-2-2-1-1-2-2111111-2-211111100-2-20022000011110000-1-1-1-1000000
χ152222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-2-21111-2111-21-1-12i−2i112i2i−i−i−i−i−i−i−2i−2iiiiiii000000000000−i3−i3i3i3000033−3−3000000
χ162222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-2-21111-2111-21-1-12i−2i112i2i−i−i−i−i−i−i−2i−2iiiiiii000000000000i3i3−i3−i30000−3−333000000
χ172222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-2-21111-2111-21-1-1−2i2i11−2i−2iiiiiii2i2i−i−i−i−i−i−i000000000000−i3−i3i3i30000−3−333000000
χ182222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-2-21111-2111-21-1-1−2i2i11−2i−2iiiiiii2i2i−i−i−i−i−i−i000000000000i3i3−i3−i3000033−3−3000000
χ19222222-122222-1-122-12-1-1-122-1-1-1-1-122-1-1-12-1-1-12-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-122002200-1-1-1-10000-1-1-1-10000000000
χ20222222-122222-1-122-12-1-1-122-1-1-1-1-122-1-1-12-1-1-12-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-200-2-2001111000011110000000000
χ21222222-122222-1-122-12-1-1-122-1-1-1-1-122-1-1-12-1-1-12-1-1-2-2-1-111-2-2111111-2-211112200-2-200-1-1-1-1000011110000000000
χ22222222-122222-1-122-12-1-1-122-1-1-1-1-122-1-1-12-1-1-12-1-1-2-2-1-111-2-2111111-2-21111-2-200220011110000-1-1-1-10000000000
χ23222222-12-2-2-2-2-1-122-12-1-1-122-1-1-111-2-2111-2111-2-1-12i−2i11−i−i2i2i−i−i−i−iii−2i−2iiiii00000000−i3−i3i3i3000033−3−30000000000
χ24222222-12-2-2-2-2-1-122-12-1-1-122-1-1-111-2-2111-2111-2-1-12i−2i11−i−i2i2i−i−i−i−iii−2i−2iiiii00000000i3i3−i3−i30000−3−3330000000000
χ25222222-12-2-2-2-2-1-122-12-1-1-122-1-1-111-2-2111-2111-2-1-1−2i2i11ii−2i−2iiiii−i−i2i2i−i−i−i−i00000000−i3−i3i3i30000−3−3330000000000
χ26222222-12-2-2-2-2-1-122-12-1-1-122-1-1-111-2-2111-2111-2-1-1−2i2i11ii−2i−2iiiii−i−i2i2i−i−i−i−i00000000i3i3−i3−i3000033−3−30000000000
χ272222-2-2222-2-222222222-2-2-2-22222-22-2222222-2-2-2-200-2-2000000000000000000000000000000000000000022-2-200
χ282222-2-2222-2-222222222-2-2-2-22222-22-2222222-2-2-2-200-2-20000000000000000000000000000000000000000-2-22200
χ292222-2-222-222-22222222-2-2-2-2222-22-22-2-2-2-2-2-222-2-20022000000000000000000000000000000000000000000002-2
χ302222-2-222-222-22222222-2-2-2-2222-22-22-2-2-2-2-2-222-2-2002200000000000000000000000000000000000000000000-22
χ312-2-222-22222-2-2-2-2-2-22222-22-2-2-22-22-2-2-2-22222-222-2002-200000000000000000000002-20000000000002-22-2000000
χ322-2-222-22222-2-2-2-2-2-22222-22-2-2-22-22-2-2-2-22222-222-2002-20000000000000000000000-22000000000000-22-22000000
χ332-2-222-222-2-222-2-2-2-22222-22-2-2-222-22222-2-2-2-22-22-200-220000000000000000002-2000000002-22-200000000000000
χ342-2-222-222-2-222-2-2-2-22222-22-2-2-222-22222-2-2-2-22-22-200-22000000000000000000-2200000000-22-2200000000000000
χ352-2-222-22-122-2-2-2-2112-1-12-2-1111-1-2211112-1-1-1-2-1-1100-1100−i3i3−i3−i3i3i300−i3i3−i3−i3i3i30000002-20000−i3i3i3−i30000-11-11000000
χ362-2-222-22-122-2-2-2-2112-1-12-2-1111-1-2211112-1-1-1-2-1-1100-1100−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3000000-220000i3−i3−i3i300001-11-1000000
χ372-2-222-22-122-2-2-2-2112-1-12-2-1111-1-2211112-1-1-1-2-1-1100-1100i3−i3i3i3−i3−i300i3−i3i3i3−i3−i30000002-20000i3−i3−i3i30000-11-11000000
χ382-2-222-22-122-2-2-2-2112-1-12-2-1111-1-2211112-1-1-1-2-1-1100-1100i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3000000-220000−i3i3i3−i300001-11-1000000
χ392-2-222-22-1-2-222-2-2112-1-12-2-1111-12-2-1-1-1-1-211121-11001-1003−333−3−300−33−3−333002-200000000-11-1100003−3−33000000
χ402-2-222-22-1-2-222-2-2112-1-12-2-1111-12-2-1-1-1-1-211121-11001-1003−333−3−300−33−3−33300-22000000001-11-10000−333−3000000
χ412-2-222-22-1-2-222-2-2112-1-12-2-1111-12-2-1-1-1-1-211121-11001-100−33−3−333003−333−3−3002-200000000-11-110000−333−3000000
χ422-2-222-22-1-2-222-2-2112-1-12-2-1111-12-2-1-1-1-1-211121-11001-100−33−3−333003−333−3−300-22000000001-11-100003−3−33000000
χ432-2-22-22222-22-2-2-2-2-2222-22-22-2-22-2-2-22-2-222222-2-2200-22000000000000000000002-200000000002-22-20000000000
χ442-2-22-22222-22-2-2-2-2-2222-22-22-2-22-2-2-22-2-222222-2-2200-2200000000000000000000-220000000000-22-220000000000
χ452-2-22-2222-22-22-2-2-2-2222-22-22-2-22222-222-2-2-2-2-22-22002-200000000000000002-20000002-22-2000000000000000000
χ462-2-22-2222-22-22-2-2-2-2222-22-22-2-22222-222-2-2-2-2-22-22002-20000000000000000-22000000-22-22000000000000000000
χ472-2-22-22-122-22-211-2-2-12-11-1-2211-111-2211-12-1-1-1-21-1001-1−i3i300−i3i3−i3i3−i3i300−i3i3−i3i300002-200−i3i3i3−i30000-11-110000000000
χ482-2-22-22-122-22-211-2-2-12-11-1-2211-111-2211-12-1-1-1-21-1001-1−i3i300−i3i3−i3i3−i3i300−i3i3−i3i30000-2200i3−i3−i3i300001-11-10000000000
χ492-2-22-22-122-22-211-2-2-12-11-1-2211-111-2211-12-1-1-1-21-1001-1i3−i300i3−i3i3−i3i3−i300i3−i3i3−i300002-200i3−i3−i3i30000-11-110000000000
χ502-2-22-22-122-22-211-2-2-12-11-1-2211-111-2211-12-1-1-1-21-1001-1i3−i300i3−i3i3−i3i3−i300i3−i3i3−i30000-2200−i3i3i3−i300001-11-10000000000
χ512-2-22-22-12-22-2211-2-2-12-11-1-2211-1-1-12-2-1-11-211121-100-113−3003−33−3−3300−33−332-2000000-11-1100003−3−330000000000
χ522-2-22-22-12-22-2211-2-2-12-11-1-2211-1-1-12-2-1-11-211121-100-113−3003−33−3−3300−33−33-220000001-11-10000−333−30000000000
χ532-2-22-22-12-22-2211-2-2-12-11-1-2211-1-1-12-2-1-11-211121-100-11−3300−33−333−3003−33−32-2000000-11-110000−333−30000000000
χ542-2-22-22-12-22-2211-2-2-12-11-1-2211-1-1-12-2-1-11-211121-100-11−3300−33−333−3003−33−3-220000001-11-100003−3−330000000000
χ55444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-2-211-2-2114411-2-2-2-21111-2-2-2-21111000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-2-211-2-211-4-4112222-1-1-1-12222-1-1-1-1000000000000000000000000000000
χ57444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222-1-122-1-122114i−4i-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222-1-122-1-12211−4i4i-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii000000000000000000000000000000
χ594444-4-44-24-4-4444-2-24-2-2-4-422-2-2-24-4-22-2-24-2-2-2-422200220000000000000000000000000000000000000000000000
χ604444-4-44-2-444-444-2-24-2-2-4-422-2-2-2-442-222-42224-22200-2-20000000000000000000000000000000000000000000000
χ614444-4-4-244-4-44-2-244-24-222-4-4-2-2-2-224-4-2-2-24-2-22-42200220000000000000000000000000000000000000000000000
χ624444-4-4-24-444-4-2-244-24-222-4-4-2-2-22-2-44222-422-242200-2-20000000000000000000000000000000000000000000000
χ634444-4-4-2-24-4-44-2-2-2-2-2-212222111-22-2211-2-21122-1-100-1-100003-3-3300003-3-33000000000000000000000000000000
χ644444-4-4-2-24-4-44-2-2-2-2-2-212222111-22-2211-2-21122-1-100-1-10000-333-30000-333-3000000000000000000000000000000
χ654444-4-4-2-2-444-4-2-2-2-2-2-2122221112-22-2-1-122-1-1-2-2-1-1001100003i−3i−3i3i0000−3i3i3i−3i000000000000000000000000000000
χ664444-4-4-2-2-444-4-2-2-2-2-2-2122221112-22-2-1-122-1-1-2-2-1-100110000−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000
χ6744-4-4004400004-44-4-4-4400004-4-400000000000000000000000000000000000000000000000000000000000022−2200
χ6844-4-4004400004-44-4-4-4400004-4-4000000000000000000000000000000000000000000000000000000000000−222200
χ694-44-400440000-44-44-4-440000-44-4000000000000000000000000000000000000000000000000000000000022−220000
χ704-44-400440000-44-44-4-440000-44-40000000000000000000000000000000000000000000000000000000000−22220000
χ714-4-444-4-2444-4-422-4-4-24-2-224-422-22-2-4-422-24-2-224-2200-220000000000000000000000000000000000000000000000
χ724-4-444-4-24-4-44422-4-4-24-2-224-422-2-2244-2-22-422-2-4-22002-20000000000000000000000000000000000000000000000
χ734-4-444-4-2-244-4-42222-2-21-22-22-1-112-222-1-1-2-2112-21-1001-100−2i32i3i3i3−i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000000
χ744-4-444-4-2-244-4-42222-2-21-22-22-1-112-222-1-1-2-2112-21-1001-1002i3−2i3−i3−i3i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000000
χ754-4-444-4-2-2-4-4442222-2-21-22-22-1-11-22-2-21122-1-1-221-100-110023−23−3−33300−232333−3−3000000000000000000000000000000
χ764-4-444-4-2-2-4-4442222-2-21-22-22-1-11-22-2-21122-1-1-221-100-1100−232333−3−30023−23−3−333000000000000000000000000000000
χ774-4-44-444-24-44-4-4-4224-2-2-442-222-2-4-42-2224-2-2-2422-2002-20000000000000000000000000000000000000000000000
χ784-4-44-444-2-44-44-4-4224-2-2-442-222-244-22-2-2-4222-4-22-200-220000000000000000000000000000000000000000000000
χ794-4-44-44-2-24-44-42222-2-212-22-2-1-11222-2-1-1-2-211-22-1100-11−2i32i300i3−i3i3−i3−2i32i300i3−i3i3−i3000000000000000000000000000000
χ804-4-44-44-2-24-44-42222-2-212-22-2-1-11222-2-1-1-2-211-22-1100-112i3−2i300−i3i3−i3i32i3−2i300−i3i3−i3i3000000000000000000000000000000
χ814-4-44-44-2-2-44-442222-2-212-22-2-1-11-2-2-221122-1-12-2-11001-123−2300−33−33−2323003−33−3000000000000000000000000000000
χ824-4-44-44-2-2-44-442222-2-212-22-2-1-11-2-2-221122-1-12-2-11001-1−2323003−33−323−2300−33−33000000000000000000000000000000
χ8388-8-8008-400008-8-44-84-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ8488-8-800-480000-448-84-8-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ8588-8-800-4-40000-44-4444200002-2-200006i−6i006i−6i000000000000000000000000000000000000000000000000000000
χ8688-8-800-4-40000-44-4444200002-2-20000−6i6i00−6i6i000000000000000000000000000000000000000000000000000000
χ878-88-8008-40000-884-4-84-400004-440000000000000000000000000000000000000000000000000000000000000000
χ888-88-800-4800004-4-884-8-400004-440000000000000000000000000000000000000000000000000000000000000000
χ898-88-800-4-400004-44-44420000-22-200006i−6i00−6i6i000000000000000000000000000000000000000000000000000000
χ908-88-800-4-400004-44-44420000-22-20000−6i6i006i−6i000000000000000000000000000000000000000000000000000000

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