Finite Group Databasebeta

← Group #11872337

Character table — Group #11872337

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666634466612121212444448121212121212121224242424242424242224448812121212121212121212122266666812122424242444448864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-111111111-111-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-111-1-1-1-1111-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-111-11-1-1-1-1-1-111-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-111-1-111111-11-1-1111-1-1-1-1-111-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1111-1111111-1-111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-11-1-111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-11-11111-1-1-1-1-1-111-111-111-1-1
χ10111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-11111-1-11-1-1-1-1-1-1-11-1-11-1-111
χ11111111111111111-1-111111111111-11-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11-1-111-11-1-111-1-1-111-1-1-111
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1111-1-1
χ13111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-1-1-1-1-1-111-111111111-1-11-1-1-11
χ14111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1-11-1-1-1-1111111-1-1-111-1111-1
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-1-11111-1
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111-1-1111111-1-111-1-1-1-1-1-1-11-111-1-11-111-1-111-111-1-1-1-11
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000002-2000022-2-2-2-20000000000020000000-20020000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000-2200002222-2-200000000000-20000000200-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000002-20000-2-2-2-2220000000000020000000200-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000-220000-2-2222200000000000-20000000-20020000
χ2122222-122-1-122-12-122-1-1-12-12-100002222-1-122-1-122-1-1-1-1-1-12222002200-1-100-1-1-1-1-10200-1-1-100000-1-1000000-10
χ2222222-122-1-122-12-122-1-1-12-12-100002222-1-122-1-122-1-1-1-1-1-1-2-2-2-200-2-2001100-1-1-1-1-10-200111000001100000010
χ2322222-122-1-122-12-122-1-1-12-12-10000-2-222-1-1-2-2-1-1-2-2111111222200-2-200-1-100111-1-10-200-1-1-1000001100000010
χ2422222-122-1-122-12-122-1-1-12-12-10000-2-222-1-1-2-2-1-1-2-2111111-2-2-2-20022001100111-1-1020011100000-1-1000000-10
χ2522222-122-1-122-12-1-2-2-1-1-12-12-100002-2-2-21122-1-1-2-211111122-2-20022001100-1-1-1110-200-1-1100000-1-100000010
χ2622222-122-1-122-12-1-2-2-1-1-12-12-100002-2-2-21122-1-1-2-2111111-2-22200-2-200-1-100-1-1-111020011-10000011000000-10
χ2722222-122-1-122-12-1-2-2-1-1-12-12-10000-22-2-211-2-2-1-122-1-1-1-1-1-122-2-200-2-2001100111110200-1-110000011000000-10
χ2822222-122-1-122-12-1-2-2-1-1-12-12-10000-22-2-211-2-2-1-122-1-1-1-1-1-1-2-222002200-1-100111110-20011-100000-1-100000010
χ292222-122222-1-12-1-122-1-1-1-12-12222222-1-122-1-1-1-1-1-122-1-1-1-100002200-1-100-1-12-1-1-1-120-1-10002-1-1-1-10000000000
χ302222-122222-1-12-1-122-1-1-1-12-122222-2-2-1-12211-1-111-2-2111100002200-1-100-1-1-211-1-1-2011000-2-1-1110000000000
χ312222-122222-1-12-1-122-1-1-1-12-12-2-2-2-222-1-122-1-1-1-1-1-122-1-1-1-10000-2-2001100112-1-1-1-1-2011000-211110000000000
χ322222-122222-1-12-1-122-1-1-1-12-12-2-2-2-2-2-2-1-12211-1-111-2-211110000-2-200110011-211-1-120-1-1000211-1-10000000000
χ332222-122222-1-12-1-1-2-2-1-1-1-12-1222222-211-2-2-1-1-1-111-2-211110000-2-200-1-100-1-12-1-11120-1-1000-211110000000000
χ342222-122222-1-12-1-1-2-2-1-1-1-12-122222-2211-2-211-1-1-1-122-1-1-1-10000-2-200-1-100-1-1-21111-2011000211-1-10000000000
χ352222-122222-1-12-1-1-2-2-1-1-1-12-12-2-2-2-22-211-2-2-1-1-1-111-2-21111000022001100112-1-111-20110002-1-1-1-10000000000
χ362222-122222-1-12-1-1-2-2-1-1-1-12-12-2-2-2-2-2211-2-211-1-1-1-122-1-1-1-100002200110011-2111120-1-1000-2-1-1110000000000
χ3722-2-2222-2-2-22-22-222-2-2-22-2-2222i−2i2i−2i002-22-2002-20000000000002i−2i002i−2i002i−2i0002-2000000002i−2i000000000000
χ3822-2-2222-2-2-22-22-222-2-2-22-2-222−2i2i−2i2i002-22-2002-2000000000000−2i2i00−2i2i00−2i2i0002-200000000−2i2i000000000000
χ3922-2-2222-2-2-22-22-22-22-2-22-2-2222i−2i2i−2i00-22-22002-2000000000000−2i2i002i−2i002i−2i000-2200000000−2i2i000000000000
χ4022-2-2222-2-2-22-22-22-22-2-22-2-222−2i2i−2i2i00-22-22002-20000000000002i−2i00−2i2i00−2i2i000-22000000002i−2i000000000000
χ4122-2-222-22-2-22-22-2200-2-2222-2-22i−2i−2i2i00000000-22000000002-20000002i−2i00−2i2i0000000002-20000000002i−2i00000
χ4222-2-222-22-2-22-22-2200-2-2222-2-22i−2i−2i2i00000000-2200000000-220000002i−2i00−2i2i000000000-22000000000−2i2i00000
χ4322-2-222-22-2-22-22-2200-2-2222-2-2−2i2i2i−2i00000000-22000000002-2000000−2i2i002i−2i0000000002-2000000000−2i2i00000
χ4422-2-222-22-2-22-22-2200-2-2222-2-2−2i2i2i−2i00000000-2200000000-22000000−2i2i002i−2i000000000-220000000002i−2i00000
χ4522-2-2-122-2-2-2-1121-12-211-11-2-122i−2i2i−2i00-112-23−3-113−30033−3−300002i−2i00−ii00−ii03−3-1100−i3i30000−ii−i3i30000000000
χ4622-2-2-122-2-2-2-1121-12-211-11-2-122i−2i2i−2i00-112-2−33-11−3300−3−33300002i−2i00−ii00−ii0−33-1100i3−i30000−iii3−i30000000000
χ4722-2-2-122-2-2-2-1121-12-211-11-2-12−2i2i−2i2i00-112-23−3-113−30033−3−30000−2i2i00i−i00i−i03−3-1100i3−i30000i−ii3−i30000000000
χ4822-2-2-122-2-2-2-1121-12-211-11-2-12−2i2i−2i2i00-112-2−33-11−3300−3−3330000−2i2i00i−i00i−i0−33-1100−i3i30000i−i−i3i30000000000
χ4922-2-2-122-2-2-2-1121-1-2211-11-2-122i−2i2i−2i001-1-223−3-11−3300−3−3330000−2i2i00−ii00−ii03−31-100−i3i30000i−ii3−i30000000000
χ5022-2-2-122-2-2-2-1121-1-2211-11-2-122i−2i2i−2i001-1-22−33-113−30033−3−30000−2i2i00−ii00−ii0−331-100i3−i30000i−i−i3i30000000000
χ5122-2-2-122-2-2-2-1121-1-2211-11-2-12−2i2i−2i2i001-1-223−3-11−3300−3−33300002i−2i00i−i00i−i03−31-100i3−i30000−ii−i3i30000000000
χ5222-2-2-122-2-2-2-1121-1-2211-11-2-12−2i2i−2i2i001-1-22−33-113−30033−3−300002i−2i00i−i00i−i0−331-100−i3i30000−iii3−i30000000000
χ5344444-2-4-4-2-244-24-200-2-2-2-42-420000000000002200000000004-4000000220000000000000-2000000000000000
χ5444444-2-4-4-2-244-24-200-2-2-2-42-42000000000000220000000000-44000000-2-200000000000002000000000000000
χ554444-24-4-444-2-24-2-200-2-2-22-42-444-4-400000000220000000000000000-2-20022000000000000000000000000000
χ564444-24-4-444-2-24-2-200-2-2-22-42-4-4-444000000002200000000000000002200-2-2000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-2-2-222112222-1-1-1-1000000000000002-1-1110000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-42222-2-2112222-1-1-1-100000000000000-211-1-10000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44-24-4224-4-2-4-24-422-2-424-20000004-4-2200-220000000000000000000000000-220000000000000000000000
χ6244-4-44-24-4224-4-2-4-2-4422-2-424-2000000-442-200-2200000000000000000000000002-20000000000000000000000
χ6344-4-44-2-44224-4-2-4-20022-24-2-420000000000002-2000000004-4000000000000000000000-220000000000000000
χ6444-4-44-2-44224-4-2-4-20022-24-2-420000000000002-200000000-440000000000000000000002-20000000000000000
χ6544-4-4-24-44-4-4-2242-20022-2-242-44i−4i−4i4i000000002-20000000000000000−2i2i002i−2i000000000000000000000000000
χ6644-4-4-24-44-4-4-2242-20022-2-242-4−4i4i4i−4i000000002-200000000000000002i−2i00−2i2i000000000000000000000000000
χ6744-4-4-2-24-422-22-2214-4-1-1122-2-2000000-22-2223−231-123−2300−3−333000000000000000−331-10000000000000000000000
χ6844-4-4-2-24-422-22-2214-4-1-1122-2-2000000-22-22−23231-1−23230033−3−30000000000000003−31-10000000000000000000000
χ6944-4-4-2-24-422-22-221-44-1-1122-2-20000002-22-223−231-1−23230033−3−3000000000000000−33-110000000000000000000000
χ7044-4-4-2-24-422-22-221-44-1-1122-2-20000002-22-2−23231-123−2300−3−3330000000000000003−3-110000000000000000000000
χ714-44-444004-4-44-4-44004-4-400000000000000000000000000000000−2i22i200000000000000000000000−2i22i200000000
χ724-44-444004-4-44-4-44004-4-4000000000000000000000000000000002i2−2i2000000000000000000000002i2−2i200000000
χ734-44-44-200-22-442-4-200-22200000000000000000000i6−i6i6−i6i6−i6000000−2i22i20023−230000000000000000000i2−i200000000
χ744-44-44-200-22-442-4-200-22200000000000000000000i6−i6i6−i6i6−i60000002i2−2i200−23230000000000000000000−i2i200000000
χ754-44-44-200-22-442-4-200-22200000000000000000000−i6i6−i6i6−i6i6000000−2i22i200−23230000000000000000000i2−i200000000
χ764-44-44-200-22-442-4-200-22200000000000000000000−i6i6−i6i6−i6i60000002i2−2i20023−230000000000000000000−i2i200000000
χ774-4-444400-44-4-4-44400-44-400000000000000000000000000000000000000000000000000000000000000022−2200
χ784-4-444400-44-4-4-44400-44-4000000000000000000000000000000000000000000000000000000000000000−222200
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4-4-8844-44-44200-2-22-4-444000000000000-220000000000000000000000000000000000000000000000000
χ818-88-8-48008-84-4-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400-444-4442002-2-2000000000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000
χ838-88-8-4-400-444-4442002-2-200000000000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000
χ848-8-888-4004-4-8-848-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800-8844-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-4444-4200-22-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ878-8-88-4-4004-4444-4200-22-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000

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