Finite Group Databasebeta

← Group #11889121

Character table — Group #11889121

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order122233446666663666881212121224661212121224242424242424242224444466121266612121222246688121212122424242448861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1111-11111111111-1-1-1-111-11-111-1-1-111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-11-1-1-11-1-1-1-1111111-1-111-1-11-11-1-1111-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ5111111111111111111111111-1-1-1-1-1-1111111111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111111-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-111111-1-1
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-1111-1-111111-1-1-1-1-1-111-1-1-1-1111-1-111111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-11-11-1-1-11111-1-1-1-1-1-1-1-111-1-1-11-1-1-1-1-1-111-1-1-11111
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111111-1-111111111-1-1-1111-111-1-11-1-11-1-1-1-11-1-11-1-11
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1111-11-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-111-111-1
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1111-1-1-1-1-11-1-1-1-111111-1-111-1111-11-1
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-111-11-1-111-111-111111-1-1-11-11
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-11-1-1-11-1-1-1-1-1-1-1111-1-1-1111-111-1-11-1-111-111-11-11
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-1-1-111111-1-11-11-1
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-111111-11-1-1-1-11111-1-1-1-11-1-1-111-1
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-11-1111-11111-1-1-1111-1-11-1-1-11-1-111-111-1-1-1111-1-11
χ17222222-2-2222222222200-2-2-2-2000000-2-2000000000022-200-222-2-2000000-2-2000000200-200002000000
χ18222222-2-2222222222200-2-2-2-2000000-2-200000000002-2-200222-2-200000022000000-20020000-2000000
χ19222222-2-2222222222200-2-2-2-2000000-2-20000000000-22200-2-2-22200000022000000200-20000-2000000
χ20222222-2-2222222222200-2-2-2-2000000-2-20000000000-2-22002-2-222000000-2-2000000-200200002000000
χ2122222-1222-1-12-12-1-1-1-122-122-122-1-1-1-1-1-122-1-1-1-1-1-122202220-1-1-1-12-1-12-1-10000-1-1020-1-1000-1-10000000
χ2222222-1222-1-12-12-1-1-1-122-122-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-20-2-2-2011112-1-12-1-10000110-2011000110000000
χ2322222-1222-1-12-12-1-1-1-122-122-1-2-21111-1-122-1-1-1-1-1-122-20-22201111-211-2110000-1-10-20-1-1000110000000
χ2422222-1222-1-12-12-1-1-1-122-122-1-2-21111-1-122-1-1-1-1-1-1-2-2202-2-20-1-1-1-1-211-21100001102011000-1-10000000
χ2522222-1222-1-12-12-1-1-1-1-2-2-122-12-2-1-111-1-1-2-211111122202-2-20-1-1-1-12-1-1-2110000-1-10-2011000110000000
χ2622222-1222-1-12-12-1-1-1-1-2-2-122-12-2-1-111-1-1-2-2111111-2-2-20-222011112-1-1-211000011020-1-1000-1-10000000
χ2722222-1222-1-12-12-1-1-1-1-2-2-122-1-2211-1-1-1-1-2-211111122-20-2-2-201111-2112-1-10000-1-102011000-1-10000000
χ2822222-1222-1-12-12-1-1-1-1-2-2-122-1-2211-1-1-1-1-2-2111111-2-2202220-1-1-1-1-2112-1-10000110-20-1-1000110000000
χ292222-1222-122-12-1-1-1-1-1222-1-12222222-1-1-1-122-1-1-1-1000200020000-1-1-1-1-1-100220020-100-1-1-100000-1-100
χ302222-1222-122-12-1-1-1-1-1222-1-12222222-1-1-1-122-1-1-1-1000-2000-20000-1-1-1-1-1-100-2-200-20100111000001100
χ312222-1222-122-12-1-1-1-1-1222-1-12-2-2-2-2-2-2-1-1-1-122-1-1-1-100020002000011111100-2-20020-100-1-1-1000001100
χ322222-1222-122-12-1-1-1-1-1222-1-12-2-2-2-2-2-2-1-1-1-122-1-1-1-1000-2000-20000111111002200-2010011100000-1-100
χ332222-1222-122-12-1-1-1-1-1-2-22-1-122-222-2-2-1-111-2-21111000200020000-1-1-1111002-200-20-100-11100000-1100
χ342222-1222-122-12-1-1-1-1-1-2-22-1-122-222-2-2-1-111-2-21111000-2000-20000-1-1-111100-2200201001-1-1000001-100
χ352222-1222-122-12-1-1-1-1-1-2-22-1-12-22-2-222-1-111-2-21111000200020000111-1-1-100-2200-20-100-111000001-100
χ362222-1222-122-12-1-1-1-1-1-2-22-1-12-22-2-222-1-111-2-21111000-2000-20000111-1-1-1002-200201001-1-100000-1100
χ372-22-2222-22-22-2-2-22-22-22i−2i2-22-20000002-22i−2i2i−2i2i2i−2i−2i2-20002i−2i0000000000000002-20002i−2i000000000000
χ382-22-2222-22-22-2-2-22-22-22i−2i2-22-20000002-22i−2i2i−2i2i2i−2i−2i-22000−2i2i000000000000000-22000−2i2i000000000000
χ392-22-2222-22-22-2-2-22-22-2−2i2i2-22-20000002-2−2i2i−2i2i−2i−2i2i2i2-2000−2i2i0000000000000002-2000−2i2i000000000000
χ402-22-2222-22-22-2-2-22-22-2−2i2i2-22-20000002-2−2i2i−2i2i−2i−2i2i2i-220002i−2i000000000000000-220002i−2i000000000000
χ412-22-22-12-221-1-21-2-11-112i−2i-1-22100−i3i33−3-112i−2i−ii−i−iii2-20002i−2i0−i3i3−i3i30−i3i303−30000-11000−ii0003−30000000
χ422-22-22-12-221-1-21-2-11-112i−2i-1-22100−i3i33−3-112i−2i−ii−i−iii-22000−2i2i0i3−i3i3−i30−i3i303−300001-1000i−i000−330000000
χ432-22-22-12-221-1-21-2-11-112i−2i-1-22100i3−i3−33-112i−2i−ii−i−iii2-20002i−2i0i3−i3i3−i30i3−i30−330000-11000−ii000−330000000
χ442-22-22-12-221-1-21-2-11-112i−2i-1-22100i3−i3−33-112i−2i−ii−i−iii-22000−2i2i0−i3i3−i3i30i3−i30−3300001-1000i−i0003−30000000
χ452-22-22-12-221-1-21-2-11-11−2i2i-1-22100−i3i3−33-11−2i2ii−iii−i−i2-2000−2i2i0−i3i3−i3i30−i3i30−330000-11000i−i000−330000000
χ462-22-22-12-221-1-21-2-11-11−2i2i-1-22100−i3i3−33-11−2i2ii−iii−i−i-220002i−2i0i3−i3i3−i30−i3i30−3300001-1000−ii0003−30000000
χ472-22-22-12-221-1-21-2-11-11−2i2i-1-22100i3−i33−3-11−2i2ii−iii−i−i2-2000−2i2i0i3−i3i3−i30i3−i303−30000-11000i−i0003−30000000
χ482-22-22-12-221-1-21-2-11-11−2i2i-1-22100i3−i33−3-11−2i2ii−iii−i−i-220002i−2i0−i3i3−i3i30i3−i303−300001-1000−ii000−330000000
χ4944444-2-4-44-2-24-24-2-2-2-2002-4-4200000022000000000040-4000-2-22200000000000000000000000000000
χ5044444-2-4-44-2-24-24-2-2-2-2002-4-42000000220000000000-40400022-2-200000000000000000000000000000
χ514444-24-4-4-244-24-2-2-2-2-200-422-400000022000000000004000-4000000000000000000-200200000000000
χ524444-24-4-4-244-24-2-2-2-2-200-422-40000002200000000000-40004000000000000000000200-200000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-21111000000000000-211-21100000000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-211110000000000002-1-12-1-100000000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-1000000000000-2112-1-100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-10000000000002-1-1-21100000000000000000000000
χ5744-4-44400-44-44-4-44-4-44000000000000000000000000000000000000000000000000000000000−2i22i20000
χ5844-4-44400-44-44-4-44-4-440000000000000000000000000000000000000000000000000000000002i2−2i20000
χ594-44-444-444-44-4-4-44-44-400-44-44000000-440000000000000000000000000000000000000000000000000
χ604-44-44-2-4442-2-42-4-22-220024-4-20000002-20000000000000000−2i32i32i3−2i300000000000000000000000000000
χ614-44-44-2-4442-2-42-4-22-220024-4-20000002-200000000000000002i3−2i3−2i32i300000000000000000000000000000
χ624-44-4-244-4-2-442-42-22-224i−4i42-2-4000000-22−2i2i4i−4i−2i−2i2i2i00000000000000000000000000000000000000000
χ634-44-4-244-4-2-442-42-22-22−4i4i42-2-4000000-222i−2i−4i4i2i2i−2i−2i00000000000000000000000000000000000000000
χ644-44-4-24-44-2-442-42-22-2200-4-2240000002-20000000000000000000000000000000000000023−23000000000
χ654-44-4-24-44-2-442-42-22-2200-4-2240000002-200000000000000000000000000000000000000−2323000000000
χ664-44-4-2-24-4-22-22221-11-14i−4i-22-2200−2i32i323−231-1−2i2i−2i2iii−i−i0000000000000i3−i30−3300000000000000000000000
χ674-44-4-2-24-4-22-22221-11-14i−4i-22-22002i3−2i3−23231-1−2i2i−2i2iii−i−i0000000000000−i3i303−300000000000000000000000
χ684-44-4-2-24-4-22-22221-11-1−4i4i-22-2200−2i32i3−23231-12i−2i2i−2i−i−iii0000000000000i3−i303−300000000000000000000000
χ694-44-4-2-24-4-22-22221-11-1−4i4i-22-22002i3−2i323−231-12i−2i2i−2i−i−iii0000000000000−i3i30−3300000000000000000000000
χ704-4-444400-4-4-4-44444-4-400000000000000000000000000000000000000004-4000000000000000000000
χ714-4-444400-4-4-4-44444-4-40000000000000000000000000000000000000000-44000000000000000000000
χ728888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7388-8-88-400-8-4484-8-444-4000000000000000000000000000000000000000000000000000000000000000
χ7488-8-8-480048-8-4-84-444-4000000000000000000000000000000000000000000000000000000000000000
χ7588-8-8-4-4004-44-4442-2-2200000000000000000032−3232−3200000000000000000000000000000000000000000
χ7688-8-8-4-4004-44-4442-2-22000000000000000000−3232−323200000000000000000000000000000000000000000
χ778-88-8-4-4-88-44-44442-22-2004-44-4000000-220000000000000000000000000000000000000000000000000
χ788-8-888-400-844-8-48-4-444000000000000000000000000000000000000000000000000000000000000000
χ798-8-88-48004-8-848-4-4-444000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-4004444-4-422-2-2000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ818-8-88-4-4004444-4-422-2-20000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000

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