Finite Group Databasebeta

← Group #11872527

Character table — Group #11872527

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order12223344666666344666121212124444481212121212121212242424242424242422444488121212121212121212121244668121212121224242424244488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-111-1-1-111-1-111111111-1-1-11-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1111111-111-1-1-1-111-1111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-111-11111-1-111-111-1-1-11-1-1-1-111-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111111-1-1111-1-111-1-111111-1111-11-1-1-1-1-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1-1-111-1-11-11111-1-11111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-11-1-1-11111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1-1111-111-1-1-1-111-1-111-1-11111-1-1
χ10111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111111-1-11111-1-1-11-1-111-1-1-1-111-1-1-1-111
χ11111111111111111-1-111111111111-11-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-111-1-111
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1
χ13111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-111-1-1-1-1-1-11-1-111-1-1111-111-1-1111111-1-1-1-1-11
χ14111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-111-11-1-11111-1-111-1-1-1-111111-1
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1111-1
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111-1-1111111-1-111-1-1-1-1-1-1-11-1-1-1-111111-1-111-1-111-1-1-11
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000200-200-2-2-2-2220000000000200000000-22000000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000-200200-2-222220000000000-2000000002-2000000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000200-20022-2-2-2-200000000002000000002-2000000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000-2002002222-2-20000000000-200000000-22000000
χ2122222-122-12-122-1-122-1-1-1-122-100002222-1-122-1-122-1-1-1-1-1-12220022200-1-100-1-1-1-1-102-1-10-1000000-1-1000000-10
χ2222222-122-12-122-1-122-1-1-1-122-100002222-1-122-1-122-1-1-1-1-1-1-2-2-200-2-2-2001100-1-1-1-1-10-211010000001100000010
χ2322222-122-12-122-1-122-1-1-1-122-10000-2-222-1-1-2-2-1-1-2-2111111222002-2-200-1-1001-1-1110-2-1-10-10000001100000010
χ2422222-122-12-122-1-122-1-1-1-122-10000-2-222-1-1-2-2-1-1-2-2111111-2-2-200-2220011001-1-111021101000000-1-1000000-10
χ2522222-122-12-122-1-1-2-2-1-1-1-122-100002-2-2-21122-1-1-2-211111122-200-222001100-111-1-10-2-1-101000000-1-100000010
χ2622222-122-12-122-1-1-2-2-1-1-1-122-100002-2-2-21122-1-1-2-2111111-2-22002-2-200-1-100-111-1-102110-100000011000000-10
χ2722222-122-12-122-1-1-2-2-1-1-1-122-10000-22-2-211-2-2-1-122-1-1-1-1-1-122-200-2-2-20011001111102-1-10100000011000000-10
χ2822222-122-12-122-1-1-2-2-1-1-1-122-10000-22-2-211-2-2-1-122-1-1-1-1-1-1-2-220022200-1-100111110-2110-1000000-1-100000010
χ292222-12222-12-1-12-122-1-1-12-1-12222222-1-122-1-1-1-1-1-122-1-1-1-100022000-1-100-1-12-1-1-1-1200020-1-1-1-1-1-10000000000
χ302222-12222-12-1-12-122-1-1-12-1-122222-2-2-1-12211-1-111-2-2111100022000-1-100-1-1-2-1-111-2000-20-1-111110000000000
χ312222-12222-12-1-12-122-1-1-12-1-12-2-2-2-222-1-122-1-1-1-1-1-122-1-1-1-1000-2-20001100112-1-1-1-1-2000-201111110000000000
χ322222-12222-12-1-12-122-1-1-12-1-12-2-2-2-2-2-2-1-12211-1-111-2-21111000-2-2000110011-2-1-11120002011-1-1-1-10000000000
χ332222-12222-12-1-12-1-2-2-1-1-12-1-1222222-211-2-2-1-1-1-111-2-21111000-2-2000-1-100-1-1211-1-12000-2011-1-1110000000000
χ342222-12222-12-1-12-1-2-2-1-1-12-1-122222-2211-2-211-1-1-1-122-1-1-1-1000-2-2000-1-100-1-1-21111-2000201111-1-10000000000
χ352222-12222-12-1-12-1-2-2-1-1-12-1-12-2-2-2-22-211-2-2-1-1-1-111-2-2111100022000110011211-1-1-200020-1-111-1-10000000000
χ362222-12222-12-1-12-1-2-2-1-1-12-1-12-2-2-2-2-2211-2-211-1-1-1-122-1-1-1-100022000110011-211112000-20-1-1-1-1110000000000
χ372-22-2222-2-2-2-22-22200-2-22-22-222i−2i2i−2i00000000-22000000002-20000002i−2i002i−2i00000002-20000000000002i−2i0000
χ382-22-2222-2-2-2-22-22200-2-22-22-222i−2i2i−2i00000000-2200000000-220000002i−2i002i−2i0000000-22000000000000−2i2i0000
χ392-22-2222-2-2-2-22-22200-2-22-22-22−2i2i−2i2i00000000-22000000002-2000000−2i2i00−2i2i00000002-2000000000000−2i2i0000
χ402-22-2222-2-2-2-22-22200-2-22-22-22−2i2i−2i2i00000000-2200000000-22000000−2i2i00−2i2i0000000-220000000000002i−2i0000
χ412-22-222-22-2-2-22-2222i−2i-2-222-22-22i−2i−2i2i002i−2i2i−2i002-2000000000002-2000−2i2i002i−2i02i−2i000000002-200000000000000
χ422-22-222-22-2-2-22-2222i−2i-2-222-22-2−2i2i2i−2i002i−2i2i−2i002-200000000000-220002i−2i00−2i2i02i−2i00000000-2200000000000000
χ432-22-222-22-2-2-22-222−2i2i-2-222-22-22i−2i−2i2i00−2i2i−2i2i002-200000000000-22000−2i2i002i−2i0−2i2i00000000-2200000000000000
χ442-22-222-22-2-2-22-222−2i2i-2-222-22-2−2i2i2i−2i00−2i2i−2i2i002-2000000000002-20002i−2i00−2i2i0−2i2i000000002-200000000000000
χ452-22-2-12-22-21-2-112-12i−2i11-121-1-22i−2i−2i2i00−ii2i−2i−i3i3-113−30033−3−30002-2000i−i00−ii0−ii−i3i3000000-113−3−i3i30000000000
χ462-22-2-12-22-21-2-112-12i−2i11-121-1-22i−2i−2i2i00−ii2i−2ii3−i3-11−3300−3−3330002-2000i−i00−ii0−iii3−i3000000-11−33i3−i30000000000
χ472-22-2-12-22-21-2-112-12i−2i11-121-1-2−2i2i2i−2i00−ii2i−2i−i3i3-113−30033−3−3000-22000−ii00i−i0−ii−i3i30000001-1−33i3−i30000000000
χ482-22-2-12-22-21-2-112-12i−2i11-121-1-2−2i2i2i−2i00−ii2i−2ii3−i3-11−3300−3−333000-22000−ii00i−i0−iii3−i30000001-13−3−i3i30000000000
χ492-22-2-12-22-21-2-112-1−2i2i11-121-1-22i−2i−2i2i00i−i−2i2i−i3i3-11−3300−3−333000-22000i−i00−ii0i−i−i3i30000001-13−3i3−i30000000000
χ502-22-2-12-22-21-2-112-1−2i2i11-121-1-22i−2i−2i2i00i−i−2i2ii3−i3-113−30033−3−3000-22000i−i00−ii0i−ii3−i30000001-1−33−i3i30000000000
χ512-22-2-12-22-21-2-112-1−2i2i11-121-1-2−2i2i2i−2i00i−i−2i2i−i3i3-11−3300−3−3330002-2000−ii00i−i0i−i−i3i3000000-11−33−i3i30000000000
χ522-22-2-12-22-21-2-112-1−2i2i11-121-1-2−2i2i2i−2i00i−i−2i2ii3−i3-113−30033−3−30002-2000−ii00i−i0i−ii3−i3000000-113−3i3−i30000000000
χ5344444-2-4-4-24-244-2-200-2-2-22-4-42000000000000220000000000400-4000022000000000000-20000000000000000
χ5444444-2-4-4-24-244-2-200-2-2-22-4-42000000000000220000000000-40040000-2-200000000000020000000000000000
χ554444-24-4-44-24-2-24-200-2-2-2-422-444-4-4000000002200000000000000002200-2-2000000000000000000000000000
χ564444-24-4-44-24-2-24-200-2-2-2-422-4-4-44400000000220000000000000000-2-20022000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-2-2-222112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-42222-2-2112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-444004-4-4-44-44004-4-400000000000000000000000000000000000000000000000000000000000000022−2200
χ6244-4-444004-4-4-44-44004-4-4000000000000000000000000000000000000000000000000000000000000000−222200
χ634-44-44-24-42-424-4-2-20022-224-4-20000000000002-2000000004-40000000000000000000-22000000000000000000
χ644-44-44-24-42-424-4-2-20022-224-4-20000000000002-200000000-4400000000000000000002-2000000000000000000
χ654-44-44-2-442-424-4-2-24i−4i22-2-2-4420000004i−4i−2i2i00-2200000000000000000000000−2i2i000000000000000000000000
χ664-44-44-2-442-424-4-2-2−4i4i22-2-2-442000000−4i4i2i−2i00-22000000000000000000000002i−2i000000000000000000000000
χ674-44-4-244-4-42-4-224-20022-2-4-2244i−4i4i−4i000000002-20000000000000000−2i2i00−2i2i000000000000000000000000000
χ684-44-4-244-4-42-4-224-20022-2-4-224−4i4i−4i4i000000002-200000000000000002i−2i002i−2i000000000000000000000000000
χ694-44-4-2-2-44222-22-214i−4i-1-11-22-22000000−2i2i−2i2i−2i32i31-123−2300−3−333000000000000000i−ii3−i30000000000000000000000
χ704-44-4-2-2-44222-22-214i−4i-1-11-22-22000000−2i2i−2i2i2i3−2i31-1−23230033−3−3000000000000000i−i−i3i30000000000000000000000
χ714-44-4-2-2-44222-22-21−4i4i-1-11-22-220000002i−2i2i−2i−2i32i31-1−23230033−3−3000000000000000−iii3−i30000000000000000000000
χ724-44-4-2-2-44222-22-21−4i4i-1-11-22-220000002i−2i2i−2i2i3−2i31-123−2300−3−333000000000000000−ii−i3i30000000000000000000000
χ734-4-444400-444-4-4-4400-44-400000000000000000000000000000000−2i22i200000000000000000000000−2i22i200000000
χ744-4-444400-444-4-4-4400-44-4000000000000000000000000000000002i2−2i2000000000000000000000002i2−2i200000000
χ754-4-444-20024-2-4-42-2002-22000000000000000000006−66−66−6000000−2i22i200−2i32i30000000000000000000i2−i200000000
χ764-4-444-20024-2-4-42-2002-22000000000000000000006−66−66−60000002i2−2i2002i3−2i30000000000000000000−i2i200000000
χ774-4-444-20024-2-4-42-2002-2200000000000000000000−66−66−66000000−2i22i2002i3−2i30000000000000000000i2−i200000000
χ784-4-444-20024-2-4-42-2002-2200000000000000000000−66−66−660000002i2−2i200−2i32i30000000000000000000−i2i200000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-400-4-84-884-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-480084-84-4-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4444-442002-2-2000000000000000000000032−32−323200000000000000000000000000000000000000000
χ8388-8-8-4-400-4444-442002-2-20000000000000000000000−323232−3200000000000000000000000000000000000000000
χ848-88-8-4-48-8444-44-4200-2-224-44-4000000000000-220000000000000000000000000000000000000000000000000
χ858-8-88-4800-8-4844-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-4-4444200-22-20000000000000000000026−26−66−6600000000000000000000000000000000000000000
χ878-8-88-4-4004-4-4444200-22-200000000000000000000−26266−66−600000000000000000000000000000000000000000

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