Finite Group Databasebeta

← Group #11871278

Character table — Group #11871278

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order122233446666662236661212121222444446666812121212242424242424242422444661212121266121212442266668812121224242424444648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11111111111111-1-1-111-1-1-1-111-1-1111-1-1-1-1111-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-111111-1-11-1-1-1111-11-1-111-1-1-1-1-11-1-1
χ411111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-1-1-111111-111-1-1-1-111-1-1-1-111
χ5111111111111111111111111-1-11111111111111111111111-1-1-111-1-1111111111-1-1-1111-1-1-11-111-1-111-1-1-1-1-1-1
χ6111111111111111111111111-1-11111-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-11-1-1-1-1-11-1-11111-1-1-1-1-1111
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
χ8111111111111111111111111-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-111-1-1-111111111-1-1
χ911111111111111-1-1111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1111111111-1-1-1-11-1-1-1-1-1-11-1-111-1
χ1011111111111111-1-111111111111111-1-1-1-1-11-1-11111111111-1-11-1-1111111-1-1-1-1-111-1-1-1-1-1-1111-1-111111-1-1-1-11
χ1111111111111111-1-11111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1-11-1-1-1-1-1-11111-1-111-1111-11
χ1211111111111111-1-11111111111-1-1-1-1-1-1-1-1-11-1-11111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-111111-1-1-111-11-1
χ1311111111111111-1-111111111-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1111-1-1-1111111-1-1-1-111-1-1-111-1-11
χ1411111111111111-1-111111111-1-11111-1-1-1-1-11-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-111-11-1-1-1-1-111-11111-1
χ1511111111111111-1-111111111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111111-1-1-1-11111-11111111-1-1-11-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-11-1-11-11
χ17222222-2-2222222002222-2-2-2-22222-2-200000000-2-20000000000-2002222-2-200000-2-200000000-2000000200000
χ18222222-2-2222222002222-2-2-2-222-2-22200000000-2-20000000000-20022-2-222000002200000000-2000000-200000
χ19222222-2-2222222002222-2-2-2-2-2-222-2-200000000-2-20000000000200-2-222-2-20000022000000002000000-200000
χ20222222-2-2222222002222-2-2-2-2-2-2-2-22200000000-2-20000000000200-2-2-2-22200000-2-2000000002000000200000
χ2122222-122-12-1-12222-1-1-1-12-12-1220000222-1-1222-1-122-1-1-1-1-1-122200-1-10000-1-1-1-1-1002000-1-120-100-1-100000-100
χ2222222-122-12-1-12222-1-1-1-12-12-1220000-222-1-1-2-2-2-1-1-2-211111122200-1-10000-1-111100-2000-1-1-20-1001100000100
χ2322222-122-12-1-12222-1-1-1-12-12-1-2-20000222-1-1222-1-122-1-1-1-1-1-1-2-2-200110000-1-1-1-1-100-200011-201001100000100
χ2422222-122-12-1-12222-1-1-1-12-12-1-2-20000-222-1-1-2-2-2-1-1-2-2111111-2-2-200110000-1-11110020001120100-1-100000-100
χ2522222-122-12-1-122-2-2-1-1-1-12-12-12200002-2-211-222-1-1-2-2111111-2-2200-1-1000011-1-1-100200011-20-1001100000-100
χ2622222-122-12-1-122-2-2-1-1-1-12-12-1220000-2-2-2112-2-2-1-122-1-1-1-1-1-1-2-2200-1-100001111100-20001120-100-1-100000100
χ2722222-122-12-1-122-2-2-1-1-1-12-12-1-2-200002-2-211-222-1-1-2-211111122-20011000011-1-1-100-2000-1-120100-1-100000100
χ2822222-122-12-1-122-2-2-1-1-1-12-12-1-2-20000-2-2-2112-2-2-1-122-1-1-1-1-1-122-20011000011111002000-1-1-201001100000-100
χ292222-12222-122-1-122-1-1-1-1-12-120022222-1-1222-1-1-1-1-1-122-1-1-1-10002200-1-1-1-1-1-12-1-10002-1-100020-1-100-1-1000000
χ302222-12222-122-1-122-1-1-1-1-12-12002222-2-1-122-211-1-111-2-211110002200-1-1-1-1-1-1-211000-211000-20-1-10011000000
χ312222-12222-122-1-122-1-1-1-1-12-1200-2-2-2-22-1-1222-1-1-1-1-1-122-1-1-1-1000-2-2001111-1-12-1-1000-211000-20110011000000
χ322222-12222-122-1-122-1-1-1-1-12-1200-2-2-2-2-2-1-122-211-1-111-2-21111000-2-2001111-1-1-2110002-1-1000201100-1-1000000
χ332222-12222-122-1-1-2-2-1-1-1-1-12-12002222211-2-2-2-1-1-1-111-2-21111000-2-200-1-1-1-1112-1-10002-1-1000-20110011000000
χ342222-12222-122-1-1-2-2-1-1-1-1-12-12002222-211-2-2211-1-1-1-122-1-1-1-1000-2-200-1-1-1-111-211000-211000201100-1-1000000
χ352222-12222-122-1-1-2-2-1-1-1-1-12-1200-2-2-2-2211-2-2-2-1-1-1-111-2-2111100022001111112-1-1000-21100020-1-100-1-1000000
χ362222-12222-122-1-1-2-2-1-1-1-1-12-1200-2-2-2-2-211-2-2211-1-1-1-122-1-1-1-10002200111111-2110002-1-1000-20-1-10011000000
χ3722-2-2222-2-22-22-2-22-22-22-2-2-222002i−2i2i−2i02-22-20002-2000000000002i−2i002i−2i2i−2i2-2000000000000002i−2i0000000000
χ3822-2-2222-2-22-22-2-22-22-22-2-2-22200−2i2i−2i2i02-22-20002-200000000000−2i2i00−2i2i−2i2i2-200000000000000−2i2i0000000000
χ3922-2-2222-2-22-22-2-2-222-22-2-2-222002i−2i2i−2i0-22-220002-200000000000−2i2i002i−2i2i−2i-2200000000000000−2i2i0000000000
χ4022-2-2222-2-22-22-2-2-222-22-2-2-22200−2i2i−2i2i0-22-220002-2000000000002i−2i00−2i2i−2i2i-22000000000000002i−2i0000000000
χ4122-2-222-22-22-22-2-2002-22-222-2-2002i−2i−2i2i00000000-22000000002-2000002i−2i−2i2i000000000002-200000000002i−2i000
χ4222-2-222-22-22-22-2-2002-22-222-2-2002i−2i−2i2i00000000-2200000000-22000002i−2i−2i2i00000000000-220000000000−2i2i000
χ4322-2-222-22-22-22-2-2002-22-222-2-200−2i2i2i−2i00000000-22000000002-200000−2i2i2i−2i000000000002-20000000000−2i2i000
χ4422-2-222-22-22-22-2-2002-22-222-2-200−2i2i2i−2i00000000-2200000000-2200000−2i2i2i−2i00000000000-2200000000002i−2i000
χ4522-2-2-122-2-2-1-22112-2-11-111-2-12002i−2i2i−2i0-112-203−3-113−30033−3−30002i−2i00−ii−ii-1103−30000−i3i300000−ii00−i3i3000000
χ4622-2-2-122-2-2-1-22112-2-11-111-2-12002i−2i2i−2i0-112-20−33-11−3300−3−3330002i−2i00−ii−ii-110−330000i3−i300000−ii00i3−i3000000
χ4722-2-2-122-2-2-1-22112-2-11-111-2-1200−2i2i−2i2i0-112-203−3-113−30033−3−3000−2i2i00i−ii−i-1103−30000i3−i300000i−i00i3−i3000000
χ4822-2-2-122-2-2-1-22112-2-11-111-2-1200−2i2i−2i2i0-112-20−33-11−3300−3−333000−2i2i00i−ii−i-110−330000−i3i300000i−i00−i3i3000000
χ4922-2-2-122-2-2-1-2211-22-11-111-2-12002i−2i2i−2i01-1-2203−3-11−3300−3−333000−2i2i00−ii−ii1-103−30000−i3i300000i−i00i3−i3000000
χ5022-2-2-122-2-2-1-2211-22-11-111-2-12002i−2i2i−2i01-1-220−33-113−30033−3−3000−2i2i00−ii−ii1-10−330000i3−i300000i−i00−i3i3000000
χ5122-2-2-122-2-2-1-2211-22-11-111-2-1200−2i2i−2i2i01-1-2203−3-11−3300−3−3330002i−2i00i−ii−i1-103−30000i3−i300000−ii00−i3i3000000
χ5222-2-2-122-2-2-1-2211-22-11-111-2-1200−2i2i−2i2i01-1-220−33-113−30033−3−30002i−2i00i−ii−i1-10−330000−i3i300000−ii00i3−i3000000
χ5344444-2-4-4-24-2-24400-2-2-2-2-42-4244000000000000220000000000-400-2-200000000000000000002000000000000
χ5444444-2-4-4-24-2-24400-2-2-2-2-42-42-4-4000000000000220000000000400220000000000000000000-2000000000000
χ554444-24-4-44-244-2-200-2-2-2-22-42-40044-4-40000000022000000000000000-2-2220000000000000000000000000000
χ564444-24-4-44-244-2-200-2-2-2-22-42-400-4-444000000002200000000000000022-2-20000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2441111-2-2-2-20000004-2-2-2-24-2-211-2-2-2-211110000000000011-21100000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-2-2-2-2000000-4-2-2-2-2-422112222-1-1-1-100000000000112-1-100000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-41111-2-2-2-200000042222-4-2-2112222-1-1-1-100000000000-1-1-21100000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000000-4222242211-2-2-2-2111100000000000-1-12-1-100000000000000000000000
χ6144-4-44-24-4242-2-4-44-4-22-22-424-200000004-4-22000-220000000000000000000-2200000000000000000000000000
χ6244-4-44-24-4242-2-4-4-44-22-22-424-20000000-442-2000-2200000000000000000002-200000000000000000000000000
χ6344-4-44-2-44242-2-4-400-22-224-2-42000000000000002-2000000004-400000000000000000000-22000000000000000
χ6444-4-44-2-44242-2-4-400-22-224-2-42000000000000002-200000000-44000000000000000000002-2000000000000000
χ6544-4-4-24-44-4-2-442200-22-22-242-4004i−4i−4i4i000000002-2000000000000000−2i2i2i−2i0000000000000000000000000000
χ6644-4-4-24-44-4-2-442200-22-22-242-400−4i4i4i−4i000000002-20000000000000002i−2i−2i2i0000000000000000000000000000
χ6744-4-4-2-24-42-22-2224-41-11-122-2-20000000-22-22023−231-123−2300−3−333000000000001-10−3300000000000000000000000
χ6844-4-4-2-24-42-22-2224-41-11-122-2-20000000-22-220−23231-1−23230033−3−3000000000001-103−300000000000000000000000
χ6944-4-4-2-24-42-22-222-441-11-122-2-200000002-22-2023−231-1−23230033−3−300000000000-110−3300000000000000000000000
χ7044-4-4-2-24-42-22-222-441-11-122-2-200000002-22-20−23231-123−2300−3−33300000000000-1103−300000000000000000000000
χ714-44-44400-4-44-44-4004-4-4400004-40000000000000000000000000004-400000000000000000000000000000000
χ724-44-44400-4-44-44-4004-4-440000-44000000000000000000000000000-4400000000000000000000000000000000
χ734-44-44-2002-4-224-400-222-200004-40000000000000000i6−i6i6−i6i6−i600000-220000000000000000000000i6−i600000000
χ744-44-44-2002-4-224-400-222-200004-40000000000000000−i6i6−i6i6−i6i600000-220000000000000000000000−i6i600000000
χ754-44-44-2002-4-224-400-222-20000-440000000000000000i6−i6i6−i6i6−i6000002-20000000000000000000000−i6i600000000
χ764-44-44-2002-4-224-400-222-20000-440000000000000000−i6i6−i6i6−i6i6000002-20000000000000000000000i6−i600000000
χ774-4-4444004-4-4-4-440044-4-4000000000000000000000000000000000000000000004-4000000000000000000000
χ784-4-4444004-4-4-4-440044-4-400000000000000000000000000000000000000000000-44000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4002222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-8-4-4-884-44-444002-22-2-4-44400000000000000-2200000000000000000000000000000000000000000000000
χ818-88-8-4800-848-8-4400-444-40000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-40044-44-44002-2-2200000000000000000000002i6−2i6−i6i6−i6i6000000000000000000000000000000000000000
χ838-88-8-4-40044-44-44002-2-220000000000000000000000−2i62i6i6−i6i6−i6000000000000000000000000000000000000000
χ848-8-888-400-4-844-8800-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-480084-8-84-400-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-44444-40022-2-2000000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ878-8-88-4-400-44444-40022-2-20000000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000

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