Finite Group Databasebeta

← Group #11866138

Character table — Group #11866138

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order1222334466666634466612121212224444266812121212121224242424242424244444466121212126661212442466881212121212242424242241248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111-1-1-11111-1-1-1-1-1-111111-1-1-1-1111-1-1-1
χ311111111111111111111111111-1-111111111111111111111-111-1-111-1-11111111-1-11-1111-1-111-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-111-1-1-11-1-1-11-111-1-1-1-111-1-1-1111
χ5111111111111111111111111-1-111-1-11111111111111111111-1-111-1-111-1-111111-1-1-11-1-1-111-1-111-1-111-1-1-11-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-111-1-11-1111-11-1-11111-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111111-1-1
χ9111111111111111-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1111111-1-11-1-1-1-1-1-1-1-1-1-1111-1
χ10111111111111111-1-11111111111111-1-1-11-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-111-1-1-1-1111-1-1-1-11111-1-11-1-11
χ11111111111111111-1-1111111111-1-111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-11-111-11-1-1-111-1-11111-1-1-11
χ12111111111111111-1-1111111111-1-111-1-1-11-1-1-1-11111111111-1-1-11111-1-111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-111-111-1
χ13111111111111111-1-11111111-1-111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111-1-1-1-1-11-1-11-1111-1-111-1-111-11-11
χ14111111111111111-1-11111111-1-111-1-1-1-1-11-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-111-11111-1-1-1-11111-1-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-111-1-1-1-111-111111111-1-11-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-1-1-11-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-111-11
χ17222222-2-2222222200222-2-2-2-22222-2-200000000-2-200000000-200002222-2-200000-2-2000000-200000000002000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000002000022-2-2-2-2000002200000020000000000-2000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-200000000-20000-2-222220000022000000-20000000000-2000
χ20222222-2-2222222200222-2-2-2-2-2-2-2-22200000000-2-20000000020000-2-2-2-22200000-2-2000000200000000002000
χ2122222-122-12-12-12-122-1-1-1-12-122200222-1-12-1-122-1-122-1-1-1-1-1-102200-1-100-1-12-1-1-1-10020-1-1200-1-100-1-100000000
χ2222222-122-12-12-12-122-1-1-1-12-12220022-211-2-1-122-1-1-2-211111102200-1-100-1-1-211-1-100-2011-200-1-1001100000000
χ2322222-122-12-12-12-122-1-1-1-12-12-2-200-2-22-1-12-1-122-1-122-1-1-1-1-1-10-2-2001100112-1-1-1-100-2011-20011001100000000
χ2422222-122-12-12-12-122-1-1-1-12-12-2-200-2-2-211-2-1-122-1-1-2-21111110-2-200110011-211-1-10020-1-12001100-1-100000000
χ2522222-122-12-12-12-1-2-2-1-1-1-12-122200222-1-1-211-2-2-1-1-2-21111110-2-200-1-100-1-12-1-1110020-1-1-20011001100000000
χ2622222-122-12-12-12-1-2-2-1-1-1-12-12220022-211211-2-2-1-122-1-1-1-1-1-10-2-200-1-100-1-1-2111100-20112001100-1-100000000
χ2722222-122-12-12-12-1-2-2-1-1-1-12-12-2-200-2-22-1-1-211-2-2-1-1-2-2111111022001100112-1-11100-2011200-1-100-1-100000000
χ2822222-122-12-12-12-1-2-2-1-1-1-12-12-2-200-2-2-211211-2-2-1-122-1-1-1-1-1-102200110011-211110020-1-1-200-1-1001100000000
χ292222-12222-12-12-1-122-1-1-12-12-1002200222222-1-1-1-1-1-122-1-1-1-12002200-1-100-1-1-1-1-100020002-100-1-100-1-1000-100
χ302222-12222-12-12-1-122-1-1-12-12-1002200-2-2-2-222-1-1-1-111-2-211112002200-1-100111-1-1000-2000-2-100-1-10011000100
χ312222-12222-12-12-1-122-1-1-12-12-100-2-200222222-1-1-1-1-1-122-1-1-1-1-200-2-2001100-1-1-1-1-1000-2000-2100110011000100
χ322222-12222-12-12-1-122-1-1-12-12-100-2-200-2-2-2-222-1-1-1-111-2-21111-200-2-2001100111-1-1000200021001100-1-1000-100
χ332222-12222-12-12-1-1-2-2-1-1-12-12-1002200222-2-2-211-1-111-2-21111200-2-200-1-100-1-1-1110002000-2-100110011000-100
χ342222-12222-12-12-1-1-2-2-1-1-12-12-1002200-2-2-22-2-211-1-1-1-122-1-1-1-1200-2-200-1-10011111000-20002-1001100-1-1000100
χ352222-12222-12-12-1-1-2-2-1-1-12-12-100-2-200222-2-2-211-1-111-2-21111-20022001100-1-1-111000-20002100-1-100-1-1000100
χ362222-12222-12-12-1-1-2-2-1-1-12-12-100-2-200-2-2-22-2-211-1-1-1-122-1-1-1-1-20022001100111110002000-2100-1-10011000-100
χ372-2-22222-2-2-22-2-2222i−2i-22-222-2-22-2002-200002i−2i2i−2i2-20000000002i−2i002-2002-20002i−2i0000000002i−2i000000000000
χ382-2-22222-2-2-22-2-2222i−2i-22-222-2-2-2200-2200002i−2i2i−2i2-2000000000−2i2i00-2200-220002i−2i000000000−2i2i000000000000
χ392-2-22222-2-2-22-2-222−2i2i-22-222-2-22-2002-20000−2i2i−2i2i2-2000000000−2i2i002-2002-2000−2i2i000000000−2i2i000000000000
χ402-2-22222-2-2-22-2-222−2i2i-22-222-2-2-2200-220000−2i2i−2i2i2-20000000002i−2i00-2200-22000−2i2i0000000002i−2i000000000000
χ412-2-2222-22-2-22-2-22200-22-2-2-2222-200-2200000000-22000000000002-22-200-2200000000000000002-200002-20000
χ422-2-2222-22-2-22-2-22200-22-2-2-2222-200-2200000000-2200000000000-222-200-220000000000000000-220000-220000
χ432-2-2222-22-2-22-2-22200-22-2-2-222-22002-200000000-22000000000002-2-22002-200000000000000002-20000-220000
χ442-2-2222-22-2-22-2-22200-22-2-2-222-22002-200000000-2200000000000-22-22002-20000000000000000-2200002-20000
χ452-2-222-12-21-2-1-212-12i−2i1-11-121-22-2002-20−i3i30−ii2i−2i-11003−333−3−302i−2i00-1100-110−i3i3−ii0000−i3i3000−ii003−300000000
χ462-2-222-12-21-2-1-212-12i−2i1-11-121-22-2002-20i3−i30−ii2i−2i-1100−33−3−33302i−2i00-1100-110i3−i3−ii0000i3−i3000−ii00−3300000000
χ472-2-222-12-21-2-1-212-12i−2i1-11-121-2-2200-220−i3i30−ii2i−2i-11003−333−3−30−2i2i001-1001-10−i3i3−ii0000i3−i3000i−i00−3300000000
χ482-2-222-12-21-2-1-212-12i−2i1-11-121-2-2200-220i3−i30−ii2i−2i-1100−33−3−3330−2i2i001-1001-10i3−i3−ii0000−i3i3000i−i003−300000000
χ492-2-222-12-21-2-1-212-1−2i2i1-11-121-22-2002-20−i3i30i−i−2i2i-1100−33−3−3330−2i2i00-1100-110−i3i3i−i0000−i3i3000i−i00−3300000000
χ502-2-222-12-21-2-1-212-1−2i2i1-11-121-22-2002-20i3−i30i−i−2i2i-11003−333−3−30−2i2i00-1100-110i3−i3i−i0000i3−i3000i−i003−300000000
χ512-2-222-12-21-2-1-212-1−2i2i1-11-121-2-2200-220−i3i30i−i−2i2i-1100−33−3−33302i−2i001-1001-10−i3i3i−i0000i3−i3000−ii003−300000000
χ522-2-222-12-21-2-1-212-1−2i2i1-11-121-2-2200-220i3−i30i−i−2i2i-11003−333−3−302i−2i001-1001-10i3−i3i−i0000−i3i3000−ii00−3300000000
χ5344444-2-4-4-24-24-24-200-2-2-22-42-44400-4-400000000220000000000000-2-200220000000000000000000000000000
χ5444444-2-4-4-24-24-24-200-2-2-22-42-4-4-40044000000002200000000000002200-2-20000000000000000000000000000
χ554444-24-4-44-24-24-2-200-2-2-2-42-42004400000000002200000000-4000000-2-2000000000000000200000000000000
χ564444-24-4-44-24-24-2-200-2-2-2-42-4200-4-400000000002200000000400000022000000000000000-200000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-20000004-2-24-2-2-2-211-2-2-2-2111100000000000-2111100000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-2000000-422-4-2-2-2-2112222-1-1-1-1000000000002-1-11100000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000004-2-2-42222112222-1-1-1-100000000000-211-1-100000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2000000-4224222211-2-2-2-21111000000000002-1-1-1-100000000000000000000000
χ6144-4-444004-4-44-4-4400-4-440000004i−4i0000000000000000000000000004i−4i000000000000000000000000000000
χ6244-4-444004-4-44-4-4400-4-44000000−4i4i000000000000000000000000000−4i4i000000000000000000000000000000
χ6344-4-4-240042-4-2-42-20022-20000004i−4i000000000000i6−i600i6−i6i6−i60000000−2i2i00000000000000000000006−6000000
χ6444-4-4-240042-4-2-42-20022-20000004i−4i000000000000−i6i600−i6i6−i6i60000000−2i2i0000000000000000000000−66000000
χ6544-4-4-240042-4-2-42-20022-2000000−4i4i000000000000i6−i600i6−i6i6−i600000002i−2i0000000000000000000000−66000000
χ6644-4-4-240042-4-2-42-20022-2000000−4i4i000000000000−i6i600−i6i6−i6i600000002i−2i00000000000000000000006−6000000
χ674-44-44400-44-4-44-44004-4-4000000000000000000000000000000000000000000004i−4i000000000000000000000
χ684-44-44400-44-4-44-44004-4-400000000000000000000000000000000000000000000−4i4i000000000000000000000
χ694-4-444-2-442-4-2-424-2002-222-4-244-400-44000000002-20000000000000-22002-20000000000000000000000000000
χ704-4-444-2-442-4-2-424-2002-222-4-24-44004-4000000002-200000000000002-200-220000000000000000000000000000
χ714-4-44-244-4-4242-4-2-24i−4i2-224-2-4200000000004i−4i−2i2i-220000000000000000000000−2i2i00000000000000000000000
χ724-4-44-244-4-4242-4-2-2−4i4i2-224-2-420000000000−4i4i2i−2i-2200000000000000000000002i−2i00000000000000000000000
χ734-4-44-24-44-4242-4-2-2002-22-424-2000000000000002-2000000000004-40000000000000000000000-220000000000
χ744-4-44-24-44-4242-4-2-2002-22-424-2000000000000002-200000000000-4400000000000000000000002-20000000000
χ754-4-44-2-24-422-222-214i−4i-11-1-2-2220000000−2i32i30−2i2i−2i2i1-10023−23−3−333000000000000i3−i3i−i00000000000000000000000
χ764-4-44-2-24-422-222-214i−4i-11-1-2-22200000002i3−2i30−2i2i−2i2i1-100−232333−3−3000000000000−i3i3i−i00000000000000000000000
χ774-4-44-2-24-422-222-21−4i4i-11-1-2-2220000000−2i32i302i−2i2i−2i1-100−232333−3−3000000000000i3−i3−ii00000000000000000000000
χ784-4-44-2-24-422-222-21−4i4i-11-1-2-22200000002i3−2i302i−2i2i−2i1-10023−23−3−333000000000000−i3i3−ii00000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-88-400-4-8484-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-444-444200-2-22000000000000000000002i6−2i600−i6i6−i6i6000000000000000000000000000000000000000
χ8288-8-8-4-400-444-444200-2-2200000000000000000000−2i62i600i6−i6i6−i6000000000000000000000000000000000000000
χ838-88-88-400484-8-4-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4800-8-4-8484-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004-444-442002-2-2000000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ868-88-8-4-4004-444-442002-2-20000000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ878-8-88-4-4-8844-444-4200-22-244-4-400000000000000-2200000000000000000000000000000000000000000000000

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