Finite Group Databasebeta

← Group #11865886

Character table — Group #11865886

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order122233446666663446661212121222444448121212121212121224242424242424242244466121212121212121212442266668812121224242424224648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111111-111-1-111-1-1-1-111-1-1111-1-1-1-1111-1-1-1
χ311111111111111111111111111-1-111111111111111111111-1-1-11111-1-11111111-1-11-111-1-11-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-1-11-1-1-1-1-11-111-1-111-1-1-1111
χ5111111111111111111111111-1-111-1-1111111111111111111111-1-1-1-111-1-111111-1-1-11-1-111-111-1-1-1-111-1-1-11-1-1
χ6111111111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-111-1-1-1-11-111111-11-1-111-1-1-1-1-1-111
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
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-111111111-1-1
χ9111111111111111-1-111111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1
χ10111111111111111-1-11111111111111-11-1-1-1-1-1-11111111111-1-11-1-1111111-1-1-1-1-111-1-1-1-1-1-1111-1-11111-1-11-1-11
χ11111111111111111-1-1111111111-1-1111-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-111-1-1111-1-111-1-11-11111-11-1-1-1-1-11111-1-1-11
χ12111111111111111-1-1111111111-1-111-11-1-1-1-1-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-111-111-1
χ13111111111111111-1-11111111-1-111-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111-1-111-1-11-1-111-1-1-11-1-1-1-11-111111-1-111-11-11
χ14111111111111111-1-11111111-1-111-1-1-11-1-1-1-1-1-11111111111-1-1111-1-111-1-1-1-1-1-1-1-1-11-111-1-1-11111-1-11111-1-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-11-1-11111-1-1-1-11111-1111111-1-11-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-111-11
χ17222222-2-2222222200222-2-2-2-22222-2-200000000-2-20000000000-2002222-2-2000002200000000-200000000-2000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000000020022-2-2-2-200000-2-2000000002000000002000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-20000000000-200-2-2222200000-2-200000000-2000000002000
χ20222222-2-2222222200222-2-2-2-2-2-2-2-22200000000-2-20000000000200-2-2-2-222000002200000000200000000-2000
χ2122222-1222-1-1-122-122-1-1-1-12-1200220022-1-12222-1-122-1-1-1-1-1-12220000-1-100-1-1-1-1-1000200-1-102-10000-1-1000-100
χ2222222-1222-1-1-122-122-1-1-1-12-12002200-2-2-1-1-2-222-1-1-2-21111112220000-1-1001-1-111000-200-1-10-2-1000011000100
χ2322222-1222-1-1-122-122-1-1-1-12-1200-2-20022-1-12222-1-122-1-1-1-1-1-1-2-2-200001100-1-1-1-1-1000-200110-21000011000100
χ2422222-1222-1-1-122-122-1-1-1-12-1200-2-200-2-2-1-1-2-222-1-1-2-2111111-2-2-2000011001-1-111000200110210000-1-1000-100
χ2522222-1222-1-1-122-1-2-2-1-1-1-12-120022002-21122-2-2-1-1-2-2111111-2-220000-1-100-111-1-1000200110-2-1000011000-100
χ2622222-1222-1-1-122-1-2-2-1-1-1-12-12002200-2211-2-2-2-2-1-122-1-1-1-1-1-1-2-220000-1-10011111000-2001102-10000-1-1000100
χ2722222-1222-1-1-122-1-2-2-1-1-1-12-1200-2-2002-21122-2-2-1-1-2-211111122-200001100-111-1-1000-200-1-10210000-1-1000100
χ2822222-1222-1-1-122-1-2-2-1-1-1-12-1200-2-200-2211-2-2-2-2-1-122-1-1-1-1-1-122-20000110011111000200-1-10-21000011000-100
χ292222-1222-1222-1-1-122-1-1-12-12-12200222222-1-1-1-1-1-1-1-122-1-1-1-100022-1-100-1-12-1-1-1-10020-1-100200-1-1-1-100000000
χ302222-1222-1222-1-1-122-1-1-12-12-1220022-2-22211-1-1-1-111-2-2111100022-1-100-1-1-2-1-11100-201100-200-1-11100000000
χ312222-1222-1222-1-1-122-1-1-12-12-1-2-200-2-22222-1-1-1-1-1-1-1-122-1-1-1-1000-2-21100112-1-1-1-100-201100-200111100000000
χ322222-1222-1222-1-1-122-1-1-12-12-1-2-200-2-2-2-22211-1-1-1-111-2-21111000-2-2110011-2-1-1110020-1-10020011-1-100000000
χ332222-1222-1222-1-1-1-2-2-1-1-12-12-12200222-2-2-2-1-111-1-111-2-21111000-2-2-1-100-1-1211-1-10020-1-100-200111100000000
χ342222-1222-1222-1-1-1-2-2-1-1-12-12-1220022-22-2-21111-1-1-1-122-1-1-1-1000-2-2-1-100-1-1-2111100-20110020011-1-100000000
χ352222-1222-1222-1-1-1-2-2-1-1-12-12-1-2-200-2-22-2-2-2-1-111-1-111-2-2111100022110011211-1-100-201100200-1-1-1-100000000
χ362222-1222-1222-1-1-1-2-2-1-1-12-12-1-2-200-2-2-22-2-21111-1-1-1-122-1-1-1-100022110011-211110020-1-100-200-1-11100000000
χ372-2-22222-2-22-2-22-222i−2i-2-2222-2-22-2002-2002i−2i002i−2i2-2000000000002i−2i2-2002-202i−2i00000000000002i−2i0000000000
χ382-2-22222-2-22-2-22-222i−2i-2-2222-2-2-2200-22002i−2i002i−2i2-200000000000−2i2i-2200-2202i−2i0000000000000−2i2i0000000000
χ392-2-22222-2-22-2-22-22−2i2i-2-2222-2-22-2002-200−2i2i00−2i2i2-200000000000−2i2i2-2002-20−2i2i0000000000000−2i2i0000000000
χ402-2-22222-2-22-2-22-22−2i2i-2-2222-2-2-2200-2200−2i2i00−2i2i2-2000000000002i−2i-2200-220−2i2i00000000000002i−2i0000000000
χ412-2-2222-22-22-2-22-2200-2-22-2-2222-200-2200000000-22000000002-20002-200-22000000000002-20000000002-20000
χ422-2-2222-22-22-2-22-2200-2-22-2-2222-200-2200000000-2200000000-220002-200-2200000000000-22000000000-220000
χ432-2-2222-22-22-2-22-2200-2-22-2-222-22002-200000000-22000000002-2000-22002-2000000000002-2000000000-220000
χ442-2-2222-22-22-2-22-2200-2-22-2-222-22002-200000000-2200000000-22000-22002-200000000000-220000000002-20000
χ452-2-22-122-212-2-2-11-12i−2i11-12-1-212-2002-2002i−2i−i3i3−ii-113−30033−3−30002i−2i-1100-110−ii−i3i30000−i3i300000−ii3−300000000
χ462-2-22-122-212-2-2-11-12i−2i11-12-1-212-2002-2002i−2ii3−i3−ii-11−3300−3−3330002i−2i-1100-110−iii3−i30000i3−i300000−ii−3300000000
χ472-2-22-122-212-2-2-11-12i−2i11-12-1-21-2200-22002i−2i−i3i3−ii-113−30033−3−3000−2i2i1-1001-10−ii−i3i30000i3−i300000i−i−3300000000
χ482-2-22-122-212-2-2-11-12i−2i11-12-1-21-2200-22002i−2ii3−i3−ii-11−3300−3−333000−2i2i1-1001-10−iii3−i30000−i3i300000i−i3−300000000
χ492-2-22-122-212-2-2-11-1−2i2i11-12-1-212-2002-200−2i2i−i3i3i−i-11−3300−3−333000−2i2i-1100-110i−i−i3i30000−i3i300000i−i−3300000000
χ502-2-22-122-212-2-2-11-1−2i2i11-12-1-212-2002-200−2i2ii3−i3i−i-113−30033−3−3000−2i2i-1100-110i−ii3−i30000i3−i300000i−i3−300000000
χ512-2-22-122-212-2-2-11-1−2i2i11-12-1-21-2200-2200−2i2i−i3i3i−i-11−3300−3−3330002i−2i1-1001-10i−i−i3i30000i3−i300000−ii3−300000000
χ522-2-22-122-212-2-2-11-1−2i2i11-12-1-21-2200-2200−2i2ii3−i3i−i-113−30033−3−30002i−2i1-1001-10i−ii3−i30000−i3i300000−ii−3300000000
χ5344444-2-4-44-2-2-244-200-2-2-22-42-400440000000000220000000000-40000-2-2000000000000000002000000000000
χ5444444-2-4-44-2-2-244-200-2-2-22-42-400-4-40000000000220000000000400002200000000000000000-2000000000000
χ554444-24-4-4-2444-2-2-200-2-2-2-42-424400-4-400000000220000000000000-2-200220000000000000000000000000000
χ564444-24-4-4-2444-2-2-200-2-2-2-42-42-4-40044000000002200000000000002200-2-20000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-200000044-2-2-2-2-2-211-2-2-2-2111100000000000-2111100000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-2000000-4-4-2-222-2-2112222-1-1-1-100000000000211-1-100000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000004-422-2-222112222-1-1-1-100000000000-2-1-11100000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2000000-4422222211-2-2-2-21111000000000002-1-1-1-100000000000000000000000
χ6144-4-444004-44-4-4-44004-4-40000004i−4i0000000000000000000000000004i−4i000000000000000000000000000000
χ6244-4-444004-44-4-4-44004-4-4000000−4i4i000000000000000000000000000−4i4i000000000000000000000000000000
χ6344-4-44-20042-22-4-4-200-2220000004i−4i00000000000000i6−i6i6−i6i6−i60000000−2i2i00000000000000000000006−6000000
χ6444-4-44-20042-22-4-4-200-2220000004i−4i00000000000000−i6i6−i6i6−i6i60000000−2i2i0000000000000000000000−66000000
χ6544-4-44-20042-22-4-4-200-222000000−4i4i00000000000000i6−i6i6−i6i6−i600000002i−2i0000000000000000000000−66000000
χ6644-4-44-20042-22-4-4-200-222000000−4i4i00000000000000−i6i6−i6i6−i6i600000002i−2i00000000000000000000006−6000000
χ674-44-44400-4-4-44-44400-44-4000000000000000000000000000000000000000000004-4000000000000000000000
χ684-44-44400-4-4-44-44400-44-400000000000000000000000000000000000000000000-44000000000000000000000
χ694-4-444-24-4-4-2224-4-24i−4i22-2-242-400000000−2i2i004i−4i-2200000000000000000000−2i2i0000000000000000000000000
χ704-4-444-24-4-4-2224-4-2−4i4i22-2-242-4000000002i−2i00−4i4i-22000000000000000000002i−2i0000000000000000000000000
χ714-4-444-2-44-4-2224-4-20022-22-4-24000000000000002-2000000004-400000000000000000000-22000000000000000
χ724-4-444-2-44-4-2224-4-20022-22-4-24000000000000002-200000000-44000000000000000000002-2000000000000000
χ734-4-44-24-4424-4-4-22-20022-2-424-24-400-44000000002-20000000000000-22002-20000000000000000000000000000
χ744-4-44-24-4424-4-4-22-20022-2-424-2-44004-4000000002-200000000000002-200-220000000000000000000000000000
χ754-4-44-2-24-42-222-2214i−4i-1-11-2-22200000000−2i2i−2i32i3−2i2i1-123−2300−3−333000000000000i−ii3−i300000000000000000000000
χ764-4-44-2-24-42-222-2214i−4i-1-11-2-22200000000−2i2i2i3−2i3−2i2i1-1−23230033−3−3000000000000i−i−i3i300000000000000000000000
χ774-4-44-2-24-42-222-221−4i4i-1-11-2-222000000002i−2i−2i32i32i−2i1-1−23230033−3−3000000000000−iii3−i300000000000000000000000
χ784-4-44-2-24-42-222-221−4i4i-1-11-2-222000000002i−2i2i3−2i32i−2i1-123−2300−3−333000000000000−ii−i3i300000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-8-4800-4-88-844-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-44-44442002-2-200000000000000000000002i6−2i6−i6i6−i6i6000000000000000000000000000000000000000
χ8288-8-8-4-400-44-44442002-2-20000000000000000000000−2i62i6i6−i6i6−i6000000000000000000000000000000000000000
χ838-88-88-400-844-4-88-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-48004-8-884-4-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-400444-44-4200-22-2000000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ868-88-8-4-400444-44-4200-22-20000000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ878-8-88-4-4-884-444-44200-2-2244-4-400000000000000-2200000000000000000000000000000000000000000000000

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