Finite Group Databasebeta

← Group #11872778

Character table — Group #11872778

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order122233446666663446661212121244442668121212121212242424242424242422224488121212121212666121224666681212122424242424448864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111111-1111-1-11-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-111-1-11111-11-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1111-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-1111111-1-111-1-1111111-1-1-111-11-1-1-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-111-11-1-111111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11-11111111111-1-11-1
χ9111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111-1-1-11-1-111-1-111-1-111-1-11111-1-1
χ10111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-111-1-1-1-1-1111-1-1-1-111-1-1-1-111
χ11111111111111111-1-111111111111-1-1-11-1-1-1-11111111111-1-111-1-1-1-111-1-111-1-1-1-1-11-1-1-1111-1-1-111-1-1-1-111-1-111
χ12111111111111111-1-111111111111-1-1-11-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1
χ13111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111-1-1-1-111111-1-1-1111111-1-1-1-1-11
χ14111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111-1-11-111-1-111-1-111-1-1-1-111111-1
χ15111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1111-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1111111111111-1-11111-1-111-1-1-1-1-1-1-1-1111-1-1-1111-1-111-1-111-1-1-11
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000002-2002222-2-2000000000000-2000000-22000000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-2000000000000-220022-2-2-2-200000000000020000002-2000000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000002-200-2-22222000000000000-20000002-2000000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-2000000000000-2200-2-2-2-2220000000000002000000-22000000
χ2122222-1222-1-12-12-122-1-1-1-122-10000222222-1-1-1-122-1-1-1-1-1-10022222200-1-100-1-1-1-1-12000-1-10-10000-1-1000000-10
χ2222222-1222-1-12-12-122-1-1-1-122-10000222222-1-1-1-122-1-1-1-1-1-100-2-2-2-2-2-2001100-1-1-1-1-1-2000110100001100000010
χ2322222-1222-1-12-12-122-1-1-1-122-10000-2-2-2-222-1-1-1-1-2-2111111002222-2-200-1-100111-1-1-2000-1-10-100001100000010
χ2422222-1222-1-12-12-122-1-1-1-122-10000-2-2-2-222-1-1-1-1-2-211111100-2-2-2-222001100111-1-1200011010000-1-1000000-10
χ2522222-1222-1-12-12-1-2-2-1-1-1-122-10000222-2-2-211-1-1-2-21111110022-2-222001100-1-1-111-2000-1-1010000-1-100000010
χ2622222-1222-1-12-12-1-2-2-1-1-1-122-10000222-2-2-211-1-1-2-211111100-2-222-2-200-1-100-1-1-1112000110-1000011000000-10
χ2722222-1222-1-12-12-1-2-2-1-1-1-122-10000-2-2-22-2-211-1-122-1-1-1-1-1-10022-2-2-2-2001100111112000-1-101000011000000-10
χ2822222-1222-1-12-12-1-2-2-1-1-1-122-10000-2-2-22-2-211-1-122-1-1-1-1-1-100-2-2222200-1-10011111-2000110-10000-1-100000010
χ292222-1222-122-12-1-122-1-1-12-1-1222222-1-12-1-122-1-1-1-122-1-1-1-122000000-1-100-1-12-1-1-1-102-1-10020-1-1-1-10000000000
χ302222-1222-122-12-1-122-1-1-12-1-122222-211-2-1-122-1-111-2-2111122000000-1-100-1-1-211-1-10-2-1-100-2011110000000000
χ312222-1222-122-12-1-122-1-1-12-1-12-2-2-2-22-1-12-1-122-1-1-1-122-1-1-1-1-2-20000001100112-1-1-1-10-21100-2011110000000000
χ322222-1222-122-12-1-122-1-1-12-1-12-2-2-2-2-211-2-1-122-1-111-2-21111-2-2000000110011-211-1-102110020-1-1-1-10000000000
χ332222-1222-122-12-1-1-2-2-1-1-12-1-1222222-1-1-211-2-2-1-111-2-21111-2-2000000-1-100-1-12-1-111021100-20-1-1110000000000
χ342222-1222-122-12-1-1-2-2-1-1-12-1-122222-211211-2-2-1-1-1-122-1-1-1-1-2-2000000-1-100-1-1-211110-211002011-1-10000000000
χ352222-1222-122-12-1-1-2-2-1-1-12-1-12-2-2-2-22-1-1-211-2-2-1-111-2-21111220000001100112-1-1110-2-1-1002011-1-10000000000
χ362222-1222-122-12-1-1-2-2-1-1-12-1-12-2-2-2-2-211211-2-2-1-1-1-122-1-1-1-122000000110011-2111102-1-100-20-1-1110000000000
χ3722-2-2222-222-2-2-2-2200-22-2-22-222i−2i2i−2i00000000-2200000000002-200002i−2i002i−2i0000000002-200000000002i−2i0000
χ3822-2-2222-222-2-2-2-2200-22-2-22-222i−2i2i−2i00000000-220000000000-2200002i−2i002i−2i000000000-220000000000−2i2i0000
χ3922-2-2222-222-2-2-2-2200-22-2-22-22−2i2i−2i2i00000000-2200000000002-20000−2i2i00−2i2i0000000002-20000000000−2i2i0000
χ4022-2-2222-222-2-2-2-2200-22-2-22-22−2i2i−2i2i00000000-220000000000-220000−2i2i00−2i2i000000000-2200000000002i−2i0000
χ4122-2-222-2222-2-2-2-222i−2i-22-22-22-22i−2i−2i2i00002i−2i2i−2i2-2000000002-20000002i−2i00−2i2i0002i−2i002-2000000000000000000
χ4222-2-222-2222-2-2-2-222i−2i-22-22-22-2−2i2i2i−2i00002i−2i2i−2i2-200000000-22000000−2i2i002i−2i0002i−2i00-22000000000000000000
χ4322-2-222-2222-2-2-2-22−2i2i-22-22-22-22i−2i−2i2i0000−2i2i−2i2i2-200000000-220000002i−2i00−2i2i000−2i2i00-22000000000000000000
χ4422-2-222-2222-2-2-2-22−2i2i-22-22-22-2−2i2i2i−2i0000−2i2i−2i2i2-2000000002-2000000−2i2i002i−2i000−2i2i002-2000000000000000000
χ4522-2-2-12-22-12-21-21-12i−2i1-1121-1-22i−2i−2i2i0−i3i30−ii2i−2i-113−30033−3−32-2000000−ii00i−i0−i3i3−ii00-1100003−3−i3i30000000000
χ4622-2-2-12-22-12-21-21-12i−2i1-1121-1-22i−2i−2i2i0i3−i30−ii2i−2i-11−3300−3−3332-2000000−ii00i−i0i3−i3−ii00-110000−33i3−i30000000000
χ4722-2-2-12-22-12-21-21-12i−2i1-1121-1-2−2i2i2i−2i0−i3i30−ii2i−2i-113−30033−3−3-22000000i−i00−ii0−i3i3−ii001-10000−33i3−i30000000000
χ4822-2-2-12-22-12-21-21-12i−2i1-1121-1-2−2i2i2i−2i0i3−i30−ii2i−2i-11−3300−3−333-22000000i−i00−ii0i3−i3−ii001-100003−3−i3i30000000000
χ4922-2-2-12-22-12-21-21-1−2i2i1-1121-1-22i−2i−2i2i0−i3i30i−i−2i2i-11−3300−3−333-22000000−ii00i−i0−i3i3i−i001-100003−3i3−i30000000000
χ5022-2-2-12-22-12-21-21-1−2i2i1-1121-1-22i−2i−2i2i0i3−i30i−i−2i2i-113−30033−3−3-22000000−ii00i−i0i3−i3i−i001-10000−33−i3i30000000000
χ5122-2-2-12-22-12-21-21-1−2i2i1-1121-1-2−2i2i2i−2i0−i3i30i−i−2i2i-11−3300−3−3332-2000000i−i00−ii0−i3i3i−i00-110000−33−i3i30000000000
χ5222-2-2-12-22-12-21-21-1−2i2i1-1121-1-2−2i2i2i−2i0i3−i30i−i−2i2i-113−30033−3−32-2000000i−i00−ii0i3−i3i−i00-1100003−3i3−i30000000000
χ5344444-2-4-44-2-24-24-200-2-2-22-4-42000000000000220000000000004-40000-2-200000000000000200000000000000
χ5444444-2-4-44-2-24-24-200-2-2-22-4-4200000000000022000000000000-4400002200000000000000-200000000000000
χ554444-24-4-4-244-24-2-200-2-2-2-422-444-4-400000000220000000000000000-2-20022000000000000000000000000000
χ564444-24-4-4-244-24-2-200-2-2-2-422-4-4-444000000002200000000000000002200-2-2000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-200004-2-24-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-422-4-2-2-2-2112222-1-1-1-1000000000000002-1-1110000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-2-2-42222112222-1-1-1-100000000000000-211-1-10000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4224222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44-24-44-22-42-4-2002-2224-4-20000000000002-200000000004-40000000000000000000-220000000000000000
χ6244-4-44-24-44-22-42-4-2002-2224-4-20000000000002-20000000000-4400000000000000000002-20000000000000000
χ6344-4-44-2-444-22-42-4-24i−4i2-22-2-442000000004i−4i−2i2i-220000000000000000000000000−2i2i0000000000000000000000
χ6444-4-44-2-444-22-42-4-2−4i4i2-22-2-44200000000−4i4i2i−2i-2200000000000000000000000002i−2i0000000000000000000000
χ6544-4-4-244-4-24-42-42-2002-22-4-2244i−4i4i−4i000000002-20000000000000000−2i2i00−2i2i000000000000000000000000000
χ6644-4-4-244-4-24-42-42-2002-22-4-224−4i4i−4i4i000000002-200000000000000002i−2i002i−2i000000000000000000000000000
χ6744-4-4-2-2-44-2-2222214i−4i-11-1-22-2200000−2i32i30−2i2i−2i2i1-123−2300−3−333000000000000000i3−i3i−i0000000000000000000000
χ6844-4-4-2-2-44-2-2222214i−4i-11-1-22-22000002i3−2i30−2i2i−2i2i1-1−23230033−3−3000000000000000−i3i3i−i0000000000000000000000
χ6944-4-4-2-2-44-2-222221−4i4i-11-1-22-2200000−2i32i302i−2i2i−2i1-1−23230033−3−3000000000000000i3−i3−ii0000000000000000000000
χ7044-4-4-2-2-44-2-222221−4i4i-11-1-22-22000002i3−2i302i−2i2i−2i1-123−2300−3−333000000000000000−i3i3−ii0000000000000000000000
χ714-44-44400-4-4-444-4400-4-440000000000000000000000000000000022−220000000000000000000000022−2200000000
χ724-44-44400-4-4-444-4400-4-4400000000000000000000000000000000−222200000000000000000000000−222200000000
χ734-44-44-200-4224-2-4-20022-200000000000000000000i6−i6i6−i6i6−i600000022−2200−2i32i30000000000000000000−2200000000
χ744-44-44-200-4224-2-4-20022-200000000000000000000i6−i6i6−i6i6−i6000000−2222002i3−2i300000000000000000002−200000000
χ754-44-44-200-4224-2-4-20022-200000000000000000000−i6i6−i6i6−i6i600000022−22002i3−2i30000000000000000000−2200000000
χ764-44-44-200-4224-2-4-20022-200000000000000000000−i6i6−i6i6−i6i6000000−222200−2i32i300000000000000000002−200000000
χ774-4-444400-4-44-4-444004-4-400000000000000000000000000000000000000000000000000000000000000022−2200
χ784-4-444400-4-44-4-444004-4-4000000000000000000000000000000000000000000000000000000000000000−222200
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4-48-8-4-44444200-22-24-44-4000000000000-220000000000000000000000000000000000000000000000000
χ818-88-8-48004-8-8-484-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400444-4-44200-2-22000000000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000
χ838-88-8-4-400444-4-44200-2-2200000000000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000
χ848-8-888-400-84-4-848-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48004-884-8-4-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-444-42002-2-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ878-8-88-4-40044-444-42002-2-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000

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