Finite Group Databasebeta

← Group #11872452

Character table — Group #11872452

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order122233446666662236661212121244444666681212121224242424242424242444448812121212121266121212446812121212121224242424444488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1111111-1-111111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-1-1-11111111-111-1-1-1-1-111-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11-11111-1-11111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-111-1111-1-1-1-111111111-1-11-1
χ911111111111111-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1111111-111-1-1-1-1-1-1-1-111-1-1-1-111
χ1011111111111111-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-111-1-111-1-111-1-11111-1-1
χ1111111111111111-1-1111111111111-1-1-1-1-11-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1
χ1211111111111111-1-1111111111111-1-1-1-1-11-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-111-1-111
χ1311111111111111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1111-1111-1-111-1-111-1-1-1-111111-1
χ1411111111111111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-11-1-11111111111-1-1-1-1-11
χ1511111111111111-1-111111111-1-1-1-1-1-1-1-1-11-1-1111111111111-1-11111-1-1-1-111-1-1-1-1-11-11-11111-1-1-1-111-1-111-1-1-11
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-11-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1111-1
χ17222222-2-2222222002222-2-2-2-222-2-200000000-2-2000000002-200000022-2-2-2-20000000200000000000-22000000
χ18222222-2-2222222002222-2-2-2-222-2-200000000-2-200000000-2200000022-2-2220000000-2000000000002-2000000
χ19222222-2-2222222002222-2-2-2-2-2-22200000000-2-2000000002-2000000-2-222-2-200000002000000000002-2000000
χ20222222-2-2222222002222-2-2-2-2-2-22200000000-2-200000000-22000000-2-222220000000-200000000000-22000000
χ2122222-122-1-1222-122-1-1-1-12-12-10000222-1-1222-1-122-1-1-1-1-1-1222200220000-1-1-1-1-1-1-102-100000-1-100-1-1000000-10
χ2222222-122-1-1222-122-1-1-1-12-12-10000222-1-1222-1-122-1-1-1-1-1-1-2-2-2-200-2-2000011-1-1-1-1-10-210000011001100000010
χ2322222-122-1-1222-122-1-1-1-12-12-10000-222-1-1-2-2-2-1-1-2-2111111222200-2-20000-1-1-1-11110-2-100000-1-1001100000010
χ2422222-122-1-1222-122-1-1-1-12-12-10000-222-1-1-2-2-2-1-1-2-2111111-2-2-2-20022000011-1-1111021000001100-1-1000000-10
χ2522222-122-1-1222-1-2-2-1-1-1-12-12-100002-2-211-222-1-1-2-211111122-2-200-2-20000-1-111-1-1-102-100000110011000000-10
χ2622222-122-1-1222-1-2-2-1-1-1-12-12-100002-2-211-222-1-1-2-2111111-2-222002200001111-1-1-10-2100000-1-100-1-100000010
χ2722222-122-1-1222-1-2-2-1-1-1-12-12-10000-2-2-2112-2-2-1-122-1-1-1-1-1-122-2-200220000-1-1111110-2-1000001100-1-100000010
χ2822222-122-1-1222-1-2-2-1-1-1-12-12-10000-2-2-2112-2-2-1-122-1-1-1-1-1-1-2-22200-2-20000111111102100000-1-10011000000-10
χ292222-122222-1-1-1222-1-1-1-1-12-1222222-1-1222-1-1-1-1-1-122-1-1-1-100002200-1-1-1-100-1-12-1-12002-1-1-1-100-1-10000000000
χ302222-122222-1-1-1222-1-1-1-1-12-122222-2-1-122-211-1-111-2-2111100002200-1-1-1-100-1-1-211-200-211-1-100110000000000
χ312222-122222-1-1-1222-1-1-1-1-12-12-2-2-2-22-1-1222-1-1-1-1-1-122-1-1-1-10000-2-200111100-1-12-1-1-200-2111100110000000000
χ322222-122222-1-1-1222-1-1-1-1-12-12-2-2-2-2-2-1-122-211-1-111-2-211110000-2-200111100-1-1-2112002-1-11100-1-10000000000
χ332222-122222-1-1-12-2-2-1-1-1-1-12-122222211-2-2-2-1-1-1-111-2-211110000-2-200-1-1-1-100112-1-1200-2-1-11100110000000000
χ342222-122222-1-1-12-2-2-1-1-1-1-12-122222-211-2-2211-1-1-1-122-1-1-1-10000-2-200-1-1-1-10011-211-2002111100-1-10000000000
χ352222-122222-1-1-12-2-2-1-1-1-1-12-12-2-2-2-2211-2-2-2-1-1-1-111-2-2111100002200111100112-1-1-200211-1-100-1-10000000000
χ362222-122222-1-1-12-2-2-1-1-1-1-12-12-2-2-2-2-211-2-2211-1-1-1-122-1-1-1-10000220011110011-211200-2-1-1-1-100110000000000
χ3722-2-2222-2-2-2-22-222-22-22-2-2-2222i−2i2i−2i02-22-20002-20000000000002i−2i002i−2i2i−2i002-20000000002i−2i00000000000000
χ3822-2-2222-2-2-2-22-222-22-22-2-2-222−2i2i−2i2i02-22-20002-2000000000000−2i2i00−2i2i−2i2i002-2000000000−2i2i00000000000000
χ3922-2-2222-2-2-2-22-22-222-22-2-2-2222i−2i2i−2i0-22-220002-2000000000000−2i2i002i−2i2i−2i00-22000000000−2i2i00000000000000
χ4022-2-2222-2-2-2-22-22-222-22-2-2-222−2i2i−2i2i0-22-220002-20000000000002i−2i00−2i2i−2i2i00-220000000002i−2i00000000000000
χ4122-2-222-22-2-2-22-22002-22-222-2-22i−2i−2i2i00000000-2200000000002-200002i−2i−2i2i0000000000000002-20000002i−2i0000
χ4222-2-222-22-2-2-22-22002-22-222-2-22i−2i−2i2i00000000-220000000000-2200002i−2i−2i2i000000000000000-22000000−2i2i0000
χ4322-2-222-22-2-2-22-22002-22-222-2-2−2i2i2i−2i00000000-2200000000002-20000−2i2i2i−2i0000000000000002-2000000−2i2i0000
χ4422-2-222-22-2-2-22-22002-22-222-2-2−2i2i2i−2i00000000-220000000000-220000−2i2i2i−2i000000000000000-220000002i−2i0000
χ4522-2-2-122-2-2-21-1122-2-11-111-2-122i−2i2i−2i0-112-203−3-113−30033−3−300002i−2i00−ii−ii00-1103−30000−i3i3−ii00−i3i30000000000
χ4622-2-2-122-2-2-21-1122-2-11-111-2-122i−2i2i−2i0-112-20−33-11−3300−3−33300002i−2i00−ii−ii00-110−330000i3−i3−ii00i3−i30000000000
χ4722-2-2-122-2-2-21-1122-2-11-111-2-12−2i2i−2i2i0-112-203−3-113−30033−3−30000−2i2i00i−ii−i00-1103−30000i3−i3i−i00i3−i30000000000
χ4822-2-2-122-2-2-21-1122-2-11-111-2-12−2i2i−2i2i0-112-20−33-11−3300−3−3330000−2i2i00i−ii−i00-110−330000−i3i3i−i00−i3i30000000000
χ4922-2-2-122-2-2-21-112-22-11-111-2-122i−2i2i−2i01-1-2203−3-11−3300−3−3330000−2i2i00−ii−ii001-103−30000−i3i3i−i00i3−i30000000000
χ5022-2-2-122-2-2-21-112-22-11-111-2-122i−2i2i−2i01-1-220−33-113−30033−3−30000−2i2i00−ii−ii001-10−330000i3−i3i−i00−i3i30000000000
χ5122-2-2-122-2-2-21-112-22-11-111-2-12−2i2i−2i2i01-1-2203−3-11−3300−3−33300002i−2i00i−ii−i001-103−30000i3−i3−ii00−i3i30000000000
χ5222-2-2-122-2-2-21-112-22-11-111-2-12−2i2i−2i2i01-1-220−33-113−30033−3−300002i−2i00i−ii−i001-10−330000−i3i3−ii00i3−i30000000000
χ5344444-2-4-4-2-2444-200-2-2-2-2-42-4200000000000022000000004-40000000000220000000-20000000000000000000
χ5444444-2-4-4-2-2444-200-2-2-2-2-42-420000000000002200000000-440000000000-2-2000000020000000000000000000
χ554444-24-4-444-2-2-2400-2-2-2-22-42-444-4-400000000220000000000000000-2-22200000000000000000000000000000
χ564444-24-4-444-2-2-2400-2-2-2-22-42-4-4-4440000000022000000000000000022-2-200000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2441111-2-2-2-200004-2-2-2-24-2-211-2-2-2-211110000000000000011-2110000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-2-2-2-20000-4-2-2-2-2-422112222-1-1-1-100000000000000112-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000042222-4-2-2112222-1-1-1-100000000000000-1-1-2110000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20000-4222242211-2-2-2-2111100000000000000-1-12-1-10000000000000000000000
χ6144-4-44-24-422-44-4-24-4-22-22-424-2000004-4-22000-220000000000000000000000-220000000000000000000000000
χ6244-4-44-24-422-44-4-2-44-22-22-424-200000-442-2000-2200000000000000000000002-20000000000000000000000000
χ6344-4-44-2-4422-44-4-200-22-224-2-420000000000002-200000000004-400000000000000000000000-22000000000000
χ6444-4-44-2-4422-44-4-200-22-224-2-420000000000002-20000000000-44000000000000000000000002-2000000000000
χ6544-4-4-24-44-4-42-22400-22-22-242-44i−4i−4i4i000000002-20000000000000000−2i2i2i−2i00000000000000000000000000000
χ6644-4-4-24-44-4-42-22400-22-22-242-4−4i4i4i−4i000000002-200000000000000002i−2i−2i2i00000000000000000000000000000
χ6744-4-4-2-24-4222-22-24-41-11-122-2-200000-22-22023−231-123−2300−3−333000000000000001-10−330000000000000000000000
χ6844-4-4-2-24-4222-22-24-41-11-122-2-200000-22-220−23231-1−23230033−3−3000000000000001-103−30000000000000000000000
χ6944-4-4-2-24-4222-22-2-441-11-122-2-2000002-22-2023−231-1−23230033−3−300000000000000-110−330000000000000000000000
χ7044-4-4-2-24-4222-22-2-441-11-122-2-2000002-22-20−23231-123−2300−3−33300000000000000-1103−30000000000000000000000
χ714-44-444004-44-4-4-40044-4-400000000000000000000000000000000000000000000000000000000000000022−2200
χ724-44-444004-44-4-4-40044-4-4000000000000000000000000000000000000000000000000000000000000000−222200
χ734-4-444400-44-4-44-4004-4-4400000000000000000000000000000000−2i22i200000000000000000000000−2i22i200000000
χ744-4-444400-44-4-44-4004-4-44000000000000000000000000000000002i2−2i2000000000000000000000002i2−2i200000000
χ754-4-444-2002-2-4-44200-222-200000000000000000000i6−i6i6−i6i6−i6000000−2i22i2000023−2300000000000000000i2−i200000000
χ764-4-444-2002-2-4-44200-222-200000000000000000000i6−i6i6−i6i6−i60000002i2−2i20000−232300000000000000000−i2i200000000
χ774-4-444-2002-2-4-44200-222-200000000000000000000−i6i6−i6i6−i6i6000000−2i22i20000−232300000000000000000i2−i200000000
χ784-4-444-2002-2-4-44200-222-200000000000000000000−i6i6−i6i6−i6i60000002i2−2i2000023−2300000000000000000−i2i200000000
χ798888-4-4-8-8-4-4-4-4-4-40022224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4-4-88444-44-4002-22-2-4-444000000000000-220000000000000000000000000000000000000000000000000
χ818-88-88-400-448-8-8400-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-48008-8-444-800-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-400-44-44440022-2-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ848-88-8-4-400-44-44440022-2-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ858-8-88-4800-8844-4-800-444-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-444-44002-2-22000000000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000
χ878-8-88-4-4004-444-44002-2-2200000000000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000

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