Finite Group Databasebeta

← Group #11865885

Character table — Group #11865885

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order122233446666663446661212121222444426681212121212122424242424242424224446612121212666121244246688121212121224242424224648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111-1-1-11111-1-111-1-1111-1-1-1-1-1-1111-1-1-1
χ311111111111111111111111111-1-111111111111111111111-1-1-11111-1-11111111-1-1-11-1-11-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-11-1-1-1-11-111-1-1-1-111-1-1-1111
χ5111111111111111111111111-1-111-1-1111111111111111111111-1-1-1-111-1-111111-1-11-111-111-1-1-1-1-1-111-1-1-11-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-111-1-1-11111-11-1-11111-1-1-1-1-1-111
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
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11111111111-1-1
χ9111111111111111-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-11111-1-1-1-11-1-111-1-1-1-1-1-1111-1
χ10111111111111111-1-11111111111111-1-1-11-1-1-1-11111111111-1-11-1-1111111-1-1-1-1-111-1-1-1-1111-1-1-1-11111-1-11-1-11
χ11111111111111111-1-1111111111-1-111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111-1-111111-1-1-1-1-1111-11-1-1-111-1-11111-1-1-11
χ12111111111111111-1-1111111111-1-111-1-1-11-1-1-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-11-1111-1-1-1-1-1-111-1-111-111-1
χ13111111111111111-1-11111111-1-111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111-1-1-1-11-1-1-11-1111-1-111-1-111-11-11
χ14111111111111111-1-11111111-1-111-1-1-1-1-11-1-1-1-11111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-11111-1-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1111-1-111-1-11111-111-1-11111-1-11-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-111-11
χ17222222-2-2222222200222-2-2-2-22222-2-200000000-2-20000000000-2002222-2-20000022000000-20000000000-2000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000000020022-2-2-2-200000-2-2000000200000000002000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-20000000000-200-2-2222200000-2-2000000-200000000002000
χ20222222-2-2222222200222-2-2-2-2-2-2-2-22200000000-2-20000000000200-2-2-2-222000002200000020000000000-2000
χ2122222-1222-1-1-122-122-1-1-1-12-120022002222-1-122-1-122-1-1-1-1-1-12220000-1-100-1-1-1-1-10020-1-102-1000000-1-1000-100
χ2222222-1222-1-1-122-122-1-1-1-12-12002200-2-2-2-2-1-122-1-1-2-21111112220000-1-100111-1-100-20-1-10-2-100000011000100
χ2322222-1222-1-1-122-122-1-1-1-12-1200-2-2002222-1-122-1-122-1-1-1-1-1-1-2-2-200001100-1-1-1-1-100-20110-2100000011000100
χ2422222-1222-1-1-122-122-1-1-1-12-1200-2-200-2-2-2-2-1-122-1-1-2-2111111-2-2-200001100111-1-1002011021000000-1-1000-100
χ2522222-1222-1-1-122-1-2-2-1-1-1-12-12002200222-211-2-2-1-1-2-2111111-2-220000-1-100-1-1-1110020110-2-100000011000-100
χ2622222-1222-1-1-122-1-2-2-1-1-1-12-12002200-2-2-2211-2-2-1-122-1-1-1-1-1-1-2-220000-1-1001111100-201102-1000000-1-1000100
χ2722222-1222-1-1-122-1-2-2-1-1-1-12-1200-2-200222-211-2-2-1-1-2-211111122-200001100-1-1-11100-20-1-1021000000-1-1000100
χ2822222-1222-1-1-122-1-2-2-1-1-1-12-1200-2-200-2-2-2211-2-2-1-122-1-1-1-1-1-122-200001100111110020-1-10-2100000011000-100
χ292222-1222-1222-1-1-122-1-1-12-12-12200222-1-1222-1-1-1-1-1-122-1-1-1-100022-1-100-1-12-1-1-1-1000200200-1-1-1-1-1-100000000
χ302222-1222-1222-1-1-122-1-1-12-12-1220022-211-222-1-1-1-111-2-2111100022-1-100-1-1-211-1-1000-200-200-1-1111100000000
χ312222-1222-1222-1-1-122-1-1-12-12-1-2-200-2-22-1-1222-1-1-1-1-1-122-1-1-1-1000-2-21100112-1-1-1-1000-200-20011111100000000
χ322222-1222-1222-1-1-122-1-1-12-12-1-2-200-2-2-211-222-1-1-1-111-2-21111000-2-2110011-211-1-100020020011-1-1-1-100000000
χ332222-1222-1222-1-1-1-2-2-1-1-12-12-12200222-1-1-2-2-211-1-111-2-21111000-2-2-1-100-1-12-1-111000200-20011-1-11100000000
χ342222-1222-1222-1-1-1-2-2-1-1-12-12-1220022-2112-2-211-1-1-1-122-1-1-1-1000-2-2-1-100-1-1-21111000-2002001111-1-100000000
χ352222-1222-1222-1-1-1-2-2-1-1-12-12-1-2-200-2-22-1-1-2-2-211-1-111-2-21111000221100112-1-111000-200200-1-111-1-100000000
χ362222-1222-1222-1-1-1-2-2-1-1-12-12-1-2-200-2-2-2112-2-211-1-1-1-122-1-1-1-100022110011-21111000200-200-1-1-1-11100000000
χ372-2-22222-2-22-2-2-2222i−2i-22-222-2-22-2002-200002i−2i2i−2i2-2000000000002i−2i2-2002-20002i−2i0000000002i−2i000000000000
χ382-2-22222-2-22-2-2-2222i−2i-22-222-2-2-2200-2200002i−2i2i−2i2-200000000000−2i2i-2200-220002i−2i000000000−2i2i000000000000
χ392-2-22222-2-22-2-2-222−2i2i-22-222-2-22-2002-20000−2i2i−2i2i2-200000000000−2i2i2-2002-2000−2i2i000000000−2i2i000000000000
χ402-2-22222-2-22-2-2-222−2i2i-22-222-2-2-2200-220000−2i2i−2i2i2-2000000000002i−2i-2200-22000−2i2i0000000002i−2i000000000000
χ412-2-2222-22-22-2-2-22200-22-2-2-2222-200-2200000000-22000000002-20002-200-220000000002-2000000000002-20000
χ422-2-2222-22-22-2-2-22200-22-2-2-2222-200-2200000000-2200000000-220002-200-22000000000-2200000000000-220000
χ432-2-2222-22-22-2-2-22200-22-2-2-222-22002-200000000-22000000002-2000-22002-20000000002-200000000000-220000
χ442-2-2222-22-22-2-2-22200-22-2-2-222-22002-200000000-2200000000-22000-22002-2000000000-22000000000002-20000
χ452-2-22-122-212-2-21-1-12i−2i1-112-1-212-2002-20−i3i302i−2i−ii-113−30033−3−30002i−2i-1100-110−i3i3−ii000000000−ii−i3i33−300000000
χ462-2-22-122-212-2-21-1-12i−2i1-112-1-212-2002-20i3−i302i−2i−ii-11−3300−3−3330002i−2i-1100-110i3−i3−ii000000000−iii3−i3−3300000000
χ472-2-22-122-212-2-21-1-12i−2i1-112-1-21-2200-220−i3i302i−2i−ii-113−30033−3−3000−2i2i1-1001-10−i3i3−ii000000000i−ii3−i3−3300000000
χ482-2-22-122-212-2-21-1-12i−2i1-112-1-21-2200-220i3−i302i−2i−ii-11−3300−3−333000−2i2i1-1001-10i3−i3−ii000000000i−i−i3i33−300000000
χ492-2-22-122-212-2-21-1-1−2i2i1-112-1-212-2002-20−i3i30−2i2ii−i-11−3300−3−333000−2i2i-1100-110−i3i3i−i000000000i−i−i3i3−3300000000
χ502-2-22-122-212-2-21-1-1−2i2i1-112-1-212-2002-20i3−i30−2i2ii−i-113−30033−3−3000−2i2i-1100-110i3−i3i−i000000000i−ii3−i33−300000000
χ512-2-22-122-212-2-21-1-1−2i2i1-112-1-21-2200-220−i3i30−2i2ii−i-11−3300−3−3330002i−2i1-1001-10−i3i3i−i000000000−iii3−i33−300000000
χ522-2-22-122-212-2-21-1-1−2i2i1-112-1-21-2200-220i3−i30−2i2ii−i-113−30033−3−30002i−2i1-1001-10i3−i3i−i000000000−ii−i3i3−3300000000
χ5344444-2-4-44-2-2-244-200-2-2-22-42-400440000000000220000000000-40000-2-2000000000000000200000000000000
χ5444444-2-4-44-2-2-244-200-2-2-22-42-400-4-400000000002200000000004000022000000000000000-200000000000000
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
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-20000004-2-24-2-2-2-211-2-2-2-2111100000000000-2111100000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-2000000-422-4-2-2-2-2112222-1-1-1-1000000000002-1-11100000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000004-2-2-42222112222-1-1-1-100000000000-211-1-100000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2000000-4224222211-2-2-2-21111000000000002-1-1-1-100000000000000000000000
χ6144-4-444004-44-4-4-44004-4-4000000000000000000000000000000000000000000004i−4i000000000000000000000
χ6244-4-444004-44-4-4-44004-4-400000000000000000000000000000000000000000000−4i4i000000000000000000000
χ634-44-44400-4-4-444-4400-4-440000004-40000000000000000000000000004-4000000000000000000000000000000
χ644-44-44400-4-4-444-4400-4-44000000-44000000000000000000000000000-44000000000000000000000000000000
χ654-44-44-200-422-24-4-20022-20000004-400000000000000i6−i6i6−i6i6−i60000000-220000000000000000000000i6−i6000000
χ664-44-44-200-422-24-4-20022-20000004-400000000000000−i6i6−i6i6−i6i60000000-220000000000000000000000−i6i6000000
χ674-44-44-200-422-24-4-20022-2000000-4400000000000000i6−i6i6−i6i6−i600000002-20000000000000000000000−i6i6000000
χ684-44-44-200-422-24-4-20022-2000000-4400000000000000−i6i6−i6i6−i6i600000002-20000000000000000000000i6−i6000000
χ694-4-444-24-4-4-222-44-24i−4i2-22-242-40000000000−2i2i4i−4i-220000000000000000000000−2i2i00000000000000000000000
χ704-4-444-24-4-4-222-44-2−4i4i2-22-242-400000000002i−2i−4i4i-2200000000000000000000002i−2i00000000000000000000000
χ714-4-444-2-44-4-222-44-2002-222-4-24000000000000002-2000000004-4000000000000000000-2200000000000000000
χ724-4-444-2-44-4-222-44-2002-222-4-24000000000000002-200000000-440000000000000000002-200000000000000000
χ734-4-44-24-4424-4-42-2-2002-22-424-24-400-44000000002-20000000000000-22002-20000000000000000000000000000
χ744-4-44-24-4424-4-42-2-2002-22-424-2-44004-4000000002-200000000000002-200-220000000000000000000000000000
χ754-4-44-2-24-42-2222-214i−4i-11-1-2-2220000000−2i32i30−2i2i−2i2i1-123−2300−3−333000000000000i3−i3i−i00000000000000000000000
χ764-4-44-2-24-42-2222-214i−4i-11-1-2-22200000002i3−2i30−2i2i−2i2i1-1−23230033−3−3000000000000−i3i3i−i00000000000000000000000
χ774-4-44-2-24-42-2222-21−4i4i-11-1-2-2220000000−2i32i302i−2i2i−2i1-1−23230033−3−3000000000000i3−i3−ii00000000000000000000000
χ784-4-44-2-24-42-2222-21−4i4i-11-1-2-22200000002i3−2i302i−2i2i−2i1-123−2300−3−333000000000000−i3i3−ii00000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-88-40084-44-8-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4800-4-88-844-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44-44442002-2-2000000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ8388-8-8-4-400-44-44442002-2-20000000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ848-88-8-48004-8-88-44-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-400444-4-44200-2-2200000000000000000000002i6−2i6−i6i6−i6i6000000000000000000000000000000000000000
χ868-88-8-4-400444-4-44200-2-220000000000000000000000−2i62i6i6−i6i6−i6000000000000000000000000000000000000000
χ878-8-88-4-4-884-4444-4200-22-244-4-400000000000000-2200000000000000000000000000000000000000000000000

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