Finite Group Databasebeta

← Group #11872371

Character table — Group #11872371

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order122233446666663446661212121244442668121212121212242424242424242424444466881212121266612124481212121212121224242424224488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-111-1-1-1-1-1-1-1111111111-111-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1-1-111111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1111-1-1-111-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111111111-1-11111111-1-1-1-1111111-1-11-1-111-1-1-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-111-1111-1-1111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-1-11111111111-1-11-1
χ9111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-111-1-11111111-1-111-11-1-1-1-111-1-1-1-1-1-111-1-111
χ10111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-1-11-1-1-1-11111-1-11111-1-111-1-1
χ11111111111111111-1-111111111111-1-1-11-1-1-1-111111111111-1-11-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1
χ12111111111111111-1-111111111111-1-1-11-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-11-1-1-111-1-111-1-111-1-1-1-111
χ13111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111-1-11-11111-1-1-1-111-1-111-1-1111-1
χ14111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1111-1-1-1-11-11111-1-11111-1-111-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-11111-1-1-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000200-200220022-2-200000000-2000000000000-220000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000-200200-2-20022-2-20000000020000000000002-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000200-2002200-2-22200000000-20000000000002-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000-200200-2-200-2-222000000002000000000000-220000
χ2122222-1222-1-12-12-122-1-1-1-12-1200002222-1-122-1-122-1-1-1-1-1-1200222-1-1220000-1-1-1-1-1200-100-1-10000-1-1000000-10
χ2222222-1222-1-12-12-122-1-1-1-12-1200002222-1-122-1-122-1-1-1-1-1-1-200-2-2-211-2-20000-1-1-1-1-1-2001001100001100000010
χ2322222-1222-1-12-12-122-1-1-1-12-120000-2-2-2-2-1-122-1-1-2-2111111200222-1-1-2-20000111-1-1-200-100-1-100001100000010
χ2422222-1222-1-12-12-122-1-1-1-12-120000-2-2-2-2-1-122-1-1-2-2111111-200-2-2-211220000111-1-1200100110000-1-1000000-10
χ2522222-1222-1-12-12-1-2-2-1-1-1-12-120000222-211-2-2-1-1-2-21111112002-2-2-1-1-2-20000-1-1-111200-10011000011000000-10
χ2622222-1222-1-12-12-1-2-2-1-1-1-12-120000222-211-2-2-1-1-2-2111111-200-22211220000-1-1-111-200100-1-10000-1-100000010
χ2722222-1222-1-12-12-1-2-2-1-1-1-12-120000-2-2-2211-2-2-1-122-1-1-1-1-1-12002-2-2-1-122000011111-200-100110000-1-100000010
χ2822222-1222-1-12-12-1-2-2-1-1-1-12-120000-2-2-2211-2-2-1-122-1-1-1-1-1-1-200-22211-2-2000011111200100-1-1000011000000-10
χ292222-1222-122-12-1-122-1-1-12-12-122222-1-1222-1-1-1-1-1-122-1-1-1-10220000000-1-1-1-12-1-1-1-10220-1-100-1-1-1-10000000000
χ302222-1222-122-12-1-122-1-1-12-12-12222-211-222-1-1-1-111-2-211110220000000-1-1-1-1-211-1-10-2-20-1-10011110000000000
χ312222-1222-122-12-1-122-1-1-12-12-1-2-2-2-22-1-1222-1-1-1-1-1-122-1-1-1-10-2-2000000011112-1-1-1-10-2-20110011110000000000
χ322222-1222-122-12-1-122-1-1-12-12-1-2-2-2-2-211-222-1-1-1-111-2-211110-2-200000001111-211-1-102201100-1-1-1-10000000000
χ332222-1222-122-12-1-1-2-2-1-1-12-12-122222-1-1-2-2-211-1-111-2-211110-2-20000000-1-1-1-12-1-11102-201100-1-1110000000000
χ342222-1222-122-12-1-1-2-2-1-1-12-12-12222-2112-2-211-1-1-1-122-1-1-1-10-2-20000000-1-1-1-1-211110-220110011-1-10000000000
χ352222-1222-122-12-1-1-2-2-1-1-12-12-1-2-2-2-22-1-1-2-2-211-1-111-2-21111022000000011112-1-1110-220-1-10011-1-10000000000
χ362222-1222-122-12-1-1-2-2-1-1-12-12-1-2-2-2-2-2112-2-211-1-1-1-122-1-1-1-102200000001111-2111102-20-1-100-1-1110000000000
χ3722-2-2222-2-22-22-2-222i−2i-22-2-2-2222i−2i2i−2i00002i−2i2i−2i2-20000000002-200000002i−2i2i−2i0002i−2i00002-20000000000000000
χ3822-2-2222-2-22-22-2-222i−2i-22-2-2-222−2i2i−2i2i00002i−2i2i−2i2-2000000000-220000000−2i2i−2i2i0002i−2i0000-220000000000000000
χ3922-2-2222-2-22-22-2-22−2i2i-22-2-2-2222i−2i2i−2i0000−2i2i−2i2i2-2000000000-2200000002i−2i2i−2i000−2i2i0000-220000000000000000
χ4022-2-2222-2-22-22-2-22−2i2i-22-2-2-222−2i2i−2i2i0000−2i2i−2i2i2-20000000002-20000000−2i2i−2i2i000−2i2i00002-20000000000000000
χ4122-2-222-22-22-22-2-2200-22-222-2-22i−2i−2i2i00000000-220000000000002i−2i00002i−2i−2i2i000000000002i−2i0000002-2000000
χ4222-2-222-22-22-22-2-2200-22-222-2-22i−2i−2i2i00000000-22000000000000−2i2i00002i−2i−2i2i00000000000−2i2i000000-22000000
χ4322-2-222-22-22-22-2-2200-22-222-2-2−2i2i2i−2i00000000-220000000000002i−2i0000−2i2i2i−2i000000000002i−2i000000-22000000
χ4422-2-222-22-22-22-2-2200-22-222-2-2−2i2i2i−2i00000000-22000000000000−2i2i0000−2i2i2i−2i00000000000−2i2i0000002-2000000
χ4522-2-2-122-212-2-1-21-12i−2i1-11-212-12i−2i2i−2i0−i3i302i−2i−ii-113−30033−3−302-20000000−ii−ii0−i3i3−ii0000-11003−3−i3i30000000000
χ4622-2-2-122-212-2-1-21-12i−2i1-11-212-12i−2i2i−2i0i3−i302i−2i−ii-11−3300−3−33302-20000000−ii−ii0i3−i3−ii0000-1100−33i3−i30000000000
χ4722-2-2-122-212-2-1-21-12i−2i1-11-212-1−2i2i−2i2i0−i3i302i−2i−ii-113−30033−3−30-220000000i−ii−i0−i3i3−ii00001-100−33i3−i30000000000
χ4822-2-2-122-212-2-1-21-12i−2i1-11-212-1−2i2i−2i2i0i3−i302i−2i−ii-11−3300−3−3330-220000000i−ii−i0i3−i3−ii00001-1003−3−i3i30000000000
χ4922-2-2-122-212-2-1-21-1−2i2i1-11-212-12i−2i2i−2i0−i3i30−2i2ii−i-11−3300−3−3330-220000000−ii−ii0−i3i3i−i00001-1003−3i3−i30000000000
χ5022-2-2-122-212-2-1-21-1−2i2i1-11-212-12i−2i2i−2i0i3−i30−2i2ii−i-113−30033−3−30-220000000−ii−ii0i3−i3i−i00001-100−33−i3i30000000000
χ5122-2-2-122-212-2-1-21-1−2i2i1-11-212-1−2i2i−2i2i0−i3i30−2i2ii−i-11−3300−3−33302-20000000i−ii−i0−i3i3i−i0000-1100−33−i3i30000000000
χ5222-2-2-122-212-2-1-21-1−2i2i1-11-212-1−2i2i−2i2i0i3−i30−2i2ii−i-113−30033−3−302-20000000i−ii−i0i3−i3i−i0000-11003−3i3−i30000000000
χ5344444-2-4-44-2-24-24-200-2-2-22-42-40000000000002200000000400-400-2-2000000000000002000000000000000000
χ5444444-2-4-44-2-24-24-200-2-2-22-42-40000000000002200000000-4004002200000000000000-2000000000000000000
χ554444-24-4-4-244-24-2-200-2-2-2-42-4244-4-40000000022000000000000000000-2-222000000000000000000000000000
χ564444-24-4-4-244-24-2-200-2-2-2-42-42-4-444000000002200000000000000000022-2-2000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-200004-2-24-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-422-4-2-2-2-2112222-1-1-1-1000000000000002-1-1110000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-2-2-42222112222-1-1-1-100000000000000-211-1-10000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4224222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44-24-4-4-2242-4-24i−4i2-222-4-2400000000−2i2i4i−4i-220000000000000000000000000−2i2i0000000000000000000000
χ6244-4-44-24-4-4-2242-4-2−4i4i2-222-4-24000000002i−2i−4i4i-2200000000000000000000000002i−2i0000000000000000000000
χ6344-4-44-2-44-4-2242-4-2002-22-242-40000000000002-20000000000004i−4i0000000000000000000−2i2i00000000000000
χ6444-4-44-2-44-4-2242-4-2002-22-242-40000000000002-2000000000000−4i4i00000000000000000002i−2i00000000000000
χ6544-4-4-24-4424-4-2-42-2002-224-2-424i−4i−4i4i000000002-2000000000000000000−2i2i2i−2i000000000000000000000000000
χ6644-4-4-24-4424-4-2-42-2002-224-2-42−4i4i4i−4i000000002-20000000000000000002i−2i−2i2i000000000000000000000000000
χ6744-4-4-2-24-42-22-22214i−4i-11-122-2-200000−2i32i30−2i2i−2i2i1-123−2300−3−333000000000000000i3−i3i−i0000000000000000000000
χ6844-4-4-2-24-42-22-22214i−4i-11-122-2-2000002i3−2i30−2i2i−2i2i1-1−23230033−3−3000000000000000−i3i3i−i0000000000000000000000
χ6944-4-4-2-24-42-22-2221−4i4i-11-122-2-200000−2i32i302i−2i2i−2i1-1−23230033−3−3000000000000000i3−i3−ii0000000000000000000000
χ7044-4-4-2-24-42-22-2221−4i4i-11-122-2-2000002i3−2i302i−2i2i−2i1-123−2300−3−333000000000000000−i3i3−ii0000000000000000000000
χ714-44-444004-44-4-4-44004-4-40000000000000000000000000000000000−2i22i2000000000000000000000−2i22i200000000
χ724-44-444004-44-4-4-44004-4-400000000000000000000000000000000002i2−2i20000000000000000000002i2−2i200000000
χ734-44-44-20042-2-42-4-200-222000000000000000000006−66−66−6000000−2i32i3−2i22i2000000000000000000000i2−i200000000
χ744-44-44-20042-2-42-4-200-222000000000000000000006−66−66−60000002i3−2i32i2−2i2000000000000000000000−i2i200000000
χ754-44-44-20042-2-42-4-200-22200000000000000000000−66−66−66000000−2i32i32i2−2i2000000000000000000000−i2i200000000
χ764-44-44-20042-2-42-4-200-22200000000000000000000−66−66−660000002i3−2i3−2i22i2000000000000000000000i2−i200000000
χ774-4-444400-4-4-4-444400-4-4400000000000000000000000000000000000000000000000000000000000000022−2200
χ784-4-444400-4-4-4-444400-4-44000000000000000000000000000000000000000000000000000000000000000−222200
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4-4-884-44-444200-22-2-4-444000000000000-220000000000000000000000000000000000000000000000000
χ818-88-8-4800-4-884-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400-44-44442002-2-20000000000000000000026−26−66−6600000000000000000000000000000000000000000
χ838-88-8-4-400-44-44442002-2-200000000000000000000−26266−66−600000000000000000000000000000000000000000
χ848-8-888-400-844-8-48-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48004-8-848-4-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004444-4-4200-2-22000000000000000000000032−32−323200000000000000000000000000000000000000000
χ878-8-88-4-4004444-4-4200-2-220000000000000000000000−323232−3200000000000000000000000000000000000000000

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