Finite Group Databasebeta

← Group #11872522

Character table — Group #11872522

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order12223344666666344666121212124444481212121212121212242424242424242422444488121212121212121212121244668121212121224242424244488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111111-11111-111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1111111-111-1-1-1-111-11-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-111-1-11-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-1111111-1-111-1-1111111-1-1-1-11-1-111-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-1-1-11-1-111111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-11-111-1-111111111-1-11-1
χ9111111111111111-1-1111111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-1-111-11-1-1-1-11111-1-111-1-11111-1-1
χ10111111111111111-1-1111111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-11111-1-1-1111-1-1-1-1-1-111-1-1-1-111
χ11111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111-1-1-1-1-11-1-1-11-1-1-11111-1-1-1-111-1-111
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1
χ13111111111111111-1-11111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-111-1-1111-1-1-111111111-1-1-1-1-11
χ14111111111111111-1-11111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11-1-1111-11111-1-1-1-111-1-1-1-111111-1
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1111-1
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111111111-1-11111-1-111-1-1-1-1-1-1-1-1111-1111-1-1-1-111-1-111-1-1-11
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000002-2002222-2-20000000000-200000000-22000000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-2000000000000-220022-2-2-2-200000000002000000002-2000000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000002-200-2-222220000000000-2000000002-2000000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-2000000000000-2200-2-2-2-2220000000000200000000-22000000
χ2122222-1222-1-12-12-122-1-1-12-1-12222222-1-122-1-1-1-1-1-122-1-1-1-122000000-1-100-1-12-1-1-1-102-1-120-1-100-1-10000000000
χ2222222-1222-1-12-12-122-1-1-12-1-122222-2-21122-1-1-1-111-2-2111122000000-1-100-1-1-2-1-1110-2-1-1-201100110000000000
χ2322222-1222-1-12-12-122-1-1-12-1-12-2-2-2-222-1-122-1-1-1-1-1-122-1-1-1-1-2-20000001100112-1-1-1-10-211-201100110000000000
χ2422222-1222-1-12-12-122-1-1-12-1-12-2-2-2-2-2-21122-1-1-1-111-2-21111-2-2000000110011-2-1-111021120-1-100-1-10000000000
χ2522222-1222-1-12-12-1-2-2-1-1-12-1-1222222-2-1-1-2-211-1-111-2-21111-2-2000000-1-100-1-1211-1-10211-20-1-100110000000000
χ2622222-1222-1-12-12-1-2-2-1-1-12-1-122222-2211-2-211-1-1-1-122-1-1-1-1-2-2000000-1-100-1-1-211110-211201100-1-10000000000
χ2722222-1222-1-12-12-1-2-2-1-1-12-1-12-2-2-2-22-2-1-1-2-211-1-111-2-2111122000000110011211-1-10-2-1-1201100-1-10000000000
χ2822222-1222-1-12-12-1-2-2-1-1-12-1-12-2-2-2-2-2211-2-211-1-1-1-122-1-1-1-122000000110011-2111102-1-1-20-1-100110000000000
χ292222-1222-122-12-1-122-1-1-1-122-100002222-1-122-1-122-1-1-1-1-1-10022222200-1-100-1-1-1-1-120000-100-1-100-1-1000000-10
χ302222-1222-122-12-1-122-1-1-1-122-100002222-1-122-1-122-1-1-1-1-1-100-2-2-2-2-2-2001100-1-1-1-1-1-2000010011001100000010
χ312222-1222-122-12-1-122-1-1-1-122-10000-2-2-2-2-1-122-1-1-2-2111111002222-2-200-1-1001-1-111-20000-100-1-1001100000010
χ322222-1222-122-12-1-122-1-1-1-122-10000-2-2-2-2-1-122-1-1-2-211111100-2-2-2-2220011001-1-111200001001100-1-1000000-10
χ332222-1222-122-12-1-1-2-2-1-1-1-122-100002-22211-2-2-1-1-2-21111110022-2-222001100-111-1-1-20000100-1-100-1-100000010
χ342222-1222-122-12-1-1-2-2-1-1-1-122-100002-22211-2-2-1-1-2-211111100-2-222-2-200-1-100-111-1-120000-100110011000000-10
χ352222-1222-122-12-1-1-2-2-1-1-1-122-10000-22-2-211-2-2-1-122-1-1-1-1-1-10022-2-2-2-20011001111120000100-1-10011000000-10
χ362222-1222-122-12-1-1-2-2-1-1-1-122-10000-22-2-211-2-2-1-122-1-1-1-1-1-100-2-2222200-1-10011111-20000-1001100-1-100000010
χ3722-2-2222-2-22-2-2-22200-2-22-22-222i−2i2i−2i00000000-2200000000002-200002i−2i002i−2i00000000000002-20000002i−2i0000
χ3822-2-2222-2-22-2-2-22200-2-22-22-222i−2i2i−2i00000000-220000000000-2200002i−2i002i−2i0000000000000-22000000−2i2i0000
χ3922-2-2222-2-22-2-2-22200-2-22-22-22−2i2i−2i2i00000000-2200000000002-20000−2i2i00−2i2i00000000000002-2000000−2i2i0000
χ4022-2-2222-2-22-2-2-22200-2-22-22-22−2i2i−2i2i00000000-220000000000-220000−2i2i00−2i2i0000000000000-220000002i−2i0000
χ4122-2-222-22-22-2-2-2222i−2i-2-222-22-22i−2i−2i2i00002i−2i2i−2i2-2000000002-20000002i−2i00−2i2i02i−2i00002-2000000000000000000
χ4222-2-222-22-22-2-2-2222i−2i-2-222-22-2−2i2i2i−2i00002i−2i2i−2i2-200000000-22000000−2i2i002i−2i02i−2i0000-22000000000000000000
χ4322-2-222-22-22-2-2-222−2i2i-2-222-22-22i−2i−2i2i0000−2i2i−2i2i2-200000000-220000002i−2i00−2i2i0−2i2i0000-22000000000000000000
χ4422-2-222-22-22-2-2-222−2i2i-2-222-22-2−2i2i2i−2i0000−2i2i−2i2i2-2000000002-2000000−2i2i002i−2i0−2i2i00002-2000000000000000000
χ4522-2-22-1-22-2-11-212-12i−2i11-121-1-22i−2i−2i2i00−i3i32i−2i−ii-113−30033−3−32-2000000−ii00i−i0−ii−i3i300-11003−300−i3i30000000000
χ4622-2-22-1-22-2-11-212-12i−2i11-121-1-22i−2i−2i2i00i3−i32i−2i−ii-11−3300−3−3332-2000000−ii00i−i0−iii3−i300-1100−3300i3−i30000000000
χ4722-2-22-1-22-2-11-212-12i−2i11-121-1-2−2i2i2i−2i00−i3i32i−2i−ii-113−30033−3−3-22000000i−i00−ii0−ii−i3i3001-100−3300i3−i30000000000
χ4822-2-22-1-22-2-11-212-12i−2i11-121-1-2−2i2i2i−2i00i3−i32i−2i−ii-11−3300−3−333-22000000i−i00−ii0−iii3−i3001-1003−300−i3i30000000000
χ4922-2-22-1-22-2-11-212-1−2i2i11-121-1-22i−2i−2i2i00−i3i3−2i2ii−i-11−3300−3−333-22000000−ii00i−i0i−i−i3i3001-1003−300i3−i30000000000
χ5022-2-22-1-22-2-11-212-1−2i2i11-121-1-22i−2i−2i2i00i3−i3−2i2ii−i-113−30033−3−3-22000000−ii00i−i0i−ii3−i3001-100−3300−i3i30000000000
χ5122-2-22-1-22-2-11-212-1−2i2i11-121-1-2−2i2i2i−2i00−i3i3−2i2ii−i-11−3300−3−3332-2000000i−i00−ii0i−i−i3i300-1100−3300−i3i30000000000
χ5222-2-22-1-22-2-11-212-1−2i2i11-121-1-2−2i2i2i−2i00i3−i3−2i2ii−i-113−30033−3−32-2000000i−i00−ii0i−ii3−i300-11003−300i3−i30000000000
χ5344444-2-4-44-2-24-24-200-2-2-2-422-444-4-400000000220000000000000000-2-20022000000000000000000000000000
χ5444444-2-4-44-2-24-24-200-2-2-2-422-4-4-444000000002200000000000000002200-2-2000000000000000000000000000
χ554444-24-4-4-244-24-2-200-2-2-22-4-42000000000000220000000000004-40000-2-200000000000020000000000000000
χ564444-24-4-4-244-24-2-200-2-2-22-4-4200000000000022000000000000-44000022000000000000-20000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-422-2-2-2-2112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-4-2-22222112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44-24-4-4-22-424-20022-2-4-2244i−4i4i−4i000000002-20000000000000000−2i2i00−2i2i000000000000000000000000000
χ6244-4-44-24-4-4-22-424-20022-2-4-224−4i4i−4i4i000000002-200000000000000002i−2i002i−2i000000000000000000000000000
χ6344-4-4-244-424-42-4-2-20022-224-4-20000000000002-200000000004-400000000000000000000000-22000000000000
χ6444-4-4-244-424-42-4-2-20022-224-4-20000000000002-20000000000-44000000000000000000000002-2000000000000
χ6544-4-4-24-4424-42-4-2-24i−4i22-2-2-44200000000−2i2i4i−4i-2200000000000000000000000−2i2i000000000000000000000000
χ6644-4-4-24-4424-42-4-2-2−4i4i22-2-2-442000000002i−2i−4i4i-22000000000000000000000002i−2i000000000000000000000000
χ6744-4-4-2-2-442-2222-214i−4i-1-11-22-22000000−2i32i3−2i2i−2i2i1-123−2300−3−333000000000000000i−ii3−i30000000000000000000000
χ6844-4-4-2-2-442-2222-214i−4i-1-11-22-220000002i3−2i3−2i2i−2i2i1-1−23230033−3−3000000000000000i−i−i3i30000000000000000000000
χ6944-4-4-2-2-442-2222-21−4i4i-1-11-22-22000000−2i32i32i−2i2i−2i1-1−23230033−3−3000000000000000−iii3−i30000000000000000000000
χ7044-4-4-2-2-442-2222-21−4i4i-1-11-22-220000002i3−2i32i−2i2i−2i1-123−2300−3−333000000000000000−ii−i3i30000000000000000000000
χ714-44-444004-44-4-4-44004-4-40000000000000000000000000000000022−220000000000000000000000022−2200000000
χ724-44-444004-44-4-4-44004-4-400000000000000000000000000000000−222200000000000000000000000−222200000000
χ734-44-4-2400-2-442-42-200-22200000000000000000000i6−i6i6−i6i6−i600000022−2200−2i32i30000000000000000000−2200000000
χ744-44-4-2400-2-442-42-200-22200000000000000000000i6−i6i6−i6i6−i6000000−2222002i3−2i300000000000000000002−200000000
χ754-44-4-2400-2-442-42-200-22200000000000000000000−i6i6−i6i6−i6i600000022−22002i3−2i30000000000000000000−2200000000
χ764-44-4-2400-2-442-42-200-22200000000000000000000−i6i6−i6i6−i6i6000000−222200−2i32i300000000000000000002−200000000
χ774-4-444400-4-4-444-4400-44-4000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ784-4-444400-4-4-444-4400-44-40000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4-48-84-4444-4200-2-224-44-4000000000000-220000000000000000000000000000000000000000000000000
χ818-88-88-40084-4-84-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400-44-44442002-2-2000000000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000
χ838-88-8-4-400-44-44442002-2-200000000000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000
χ848-8-888-400-8448-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48004-8-8-484-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-4-44200-22-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ878-8-88-4-400444-4-44200-22-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000

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