Finite Group Databasebeta

← Group #11872329

Character table — Group #11872329

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666634466612121212444426681212121212122424242424242424444444881212121212126661212248121212121212122424242422248864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111111-111-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-111-1-1-111111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1111-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-1111111-1-111-1-1111111-1-1111-1-1-1-1-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-111-111111-1-11111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111111111-1-11-1
χ9111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111-1-1-11-111-1-1-111-1-11111-1-111-1-1
χ10111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-111-1-1-11-1-111-1-1-1-1-1-111-1-111
χ11111111111111111-1-111111111111-1-1-11-1-1-1-11111111111-1-111-1-1-1-111-1-111-1-1-1-1-11-1111-1-1-1-1-111-1-111-1-1-1-111
χ12111111111111111-1-111111111111-1-1-11-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-11111-1-1
χ13111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111-1-1-1-1111-111-1-11111-1-111-1-1-11
χ14111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111-1-11-11-1-1111-1-111-1-111-1-1111-1
χ15111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-1-1-111111-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1111111111111-1-11111-1-111-1-1-1-1-1-1-1-11-1-1-111111-1-11111-1-1-1-1-11
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000002-2002222-2-20000000000-20000000000-220000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-2000000000000-220022-2-2-2-20000000000200000000002-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000002-200-2-222220000000000-200000000002-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-2000000000000-2200-2-2-2-222000000000020000000000-220000
χ2122222-12222-1-1-12-122-1-1-1-122-10000222222-1-1-1-122-1-1-1-1-1-10022222200-1-100-1-1-1-1-1200-1-1-1000000-1-1000000-10
χ2222222-12222-1-1-12-122-1-1-1-122-10000222222-1-1-1-122-1-1-1-1-1-100-2-2-2-2-2-2001100-1-1-1-1-1-2001110000001100000010
χ2322222-12222-1-1-12-122-1-1-1-122-10000-2-2-2-222-1-1-1-1-2-2111111002222-2-200-1-100111-1-1-200-1-1-10000001100000010
χ2422222-12222-1-1-12-122-1-1-1-122-10000-2-2-2-222-1-1-1-1-2-211111100-2-2-2-222001100111-1-1200111000000-1-1000000-10
χ2522222-12222-1-1-12-1-2-2-1-1-1-122-10000222-2-2-211-1-1-2-21111110022-2-222001100-1-1-111-200-1-11000000-1-100000010
χ2622222-12222-1-1-12-1-2-2-1-1-1-122-10000222-2-2-211-1-1-2-211111100-2-222-2-200-1-100-1-1-11120011-100000011000000-10
χ2722222-12222-1-1-12-1-2-2-1-1-1-122-10000-2-2-22-2-211-1-122-1-1-1-1-1-10022-2-2-2-200110011111200-1-1100000011000000-10
χ2822222-12222-1-1-12-1-2-2-1-1-1-122-10000-2-2-22-2-211-1-122-1-1-1-1-1-100-2-2222200-1-10011111-20011-1000000-1-100000010
χ292222-1222-1-1222-1-122-1-1-12-1-1222222-1-12-1-122-1-1-1-122-1-1-1-122000000-1-100-1-12-1-1-1-1022000-1-1-1-1-1-10000000000
χ302222-1222-1-1222-1-122-1-1-12-1-122222-211-2-1-122-1-111-2-2111122000000-1-100-1-1-211-1-10-2-2000-1-111110000000000
χ312222-1222-1-1222-1-122-1-1-12-1-12-2-2-2-22-1-12-1-122-1-1-1-122-1-1-1-1-2-20000001100112-1-1-1-10-2-20001111110000000000
χ322222-1222-1-1222-1-122-1-1-12-1-12-2-2-2-2-211-2-1-122-1-111-2-21111-2-2000000110011-211-1-102200011-1-1-1-10000000000
χ332222-1222-1-1222-1-1-2-2-1-1-12-1-1222222-1-1-211-2-2-1-111-2-21111-2-2000000-1-100-1-12-1-11102-200011-1-1110000000000
χ342222-1222-1-1222-1-1-2-2-1-1-12-1-122222-211211-2-2-1-1-1-122-1-1-1-1-2-2000000-1-100-1-1-211110-220001111-1-10000000000
χ352222-1222-1-1222-1-1-2-2-1-1-12-1-12-2-2-2-22-1-1-211-2-2-1-111-2-21111220000001100112-1-1110-22000-1-111-1-10000000000
χ362222-1222-1-1222-1-1-2-2-1-1-12-1-12-2-2-2-2-211211-2-2-1-1-1-122-1-1-1-122000000110011-2111102-2000-1-1-1-1110000000000
χ3722-2-2222-22-22-2-2-222-2-2-22-22-222i−2i2i−2i00002-22-2-22000000002i−2i0000002i−2i002i−2i0002-20000002i−2i00000000000000
χ3822-2-2222-22-22-2-2-222-2-2-22-22-22−2i2i−2i2i00002-22-2-2200000000−2i2i000000−2i2i00−2i2i0002-2000000−2i2i00000000000000
χ3922-2-2222-22-22-2-2-22-22-2-22-22-222i−2i2i−2i0000-22-22-2200000000−2i2i0000002i−2i002i−2i000-22000000−2i2i00000000000000
χ4022-2-2222-22-22-2-2-22-22-2-22-22-22−2i2i−2i2i0000-22-22-22000000002i−2i000000−2i2i00−2i2i000-220000002i−2i00000000000000
χ4122-2-222-222-22-2-2-2200-2-222-22-22i−2i−2i2i000000002-200000000002i−2i00002i−2i00−2i2i000000002i−2i0000000002-2000000
χ4222-2-222-222-22-2-2-2200-2-222-22-22i−2i−2i2i000000002-20000000000−2i2i00002i−2i00−2i2i00000000−2i2i000000000-22000000
χ4322-2-222-222-22-2-2-2200-2-222-22-2−2i2i2i−2i000000002-200000000002i−2i0000−2i2i002i−2i000000002i−2i000000000-22000000
χ4422-2-222-222-22-2-2-2200-2-222-22-2−2i2i2i−2i000000002-20000000000−2i2i0000−2i2i002i−2i00000000−2i2i0000000002-2000000
χ4522-2-2-122-2-112-2-21-12-211-1-2-1122i−2i2i−2i0−i3i30-112-21-1−i3i300−i3−i3i3i32i−2i000000−ii00−ii0−i3i3-11000000−ii3−33−30000000000
χ4622-2-2-122-2-112-2-21-12-211-1-2-1122i−2i2i−2i0i3−i30-112-21-1i3−i300i3i3−i3−i32i−2i000000−ii00−ii0i3−i3-11000000−ii−33−330000000000
χ4722-2-2-122-2-112-2-21-12-211-1-2-112−2i2i−2i2i0−i3i30-112-21-1−i3i300−i3−i3i3i3−2i2i000000i−i00i−i0−i3i3-11000000i−i−33−330000000000
χ4822-2-2-122-2-112-2-21-12-211-1-2-112−2i2i−2i2i0i3−i30-112-21-1i3−i300i3i3−i3−i3−2i2i000000i−i00i−i0i3−i3-11000000i−i3−33−30000000000
χ4922-2-2-122-2-112-2-21-1-2211-1-2-1122i−2i2i−2i0−i3i301-1-221-1i3−i300i3i3−i3−i3−2i2i000000−ii00−ii0−i3i31-1000000i−i3−3−330000000000
χ5022-2-2-122-2-112-2-21-1-2211-1-2-1122i−2i2i−2i0i3−i301-1-221-1−i3i300−i3−i3i3i3−2i2i000000−ii00−ii0i3−i31-1000000i−i−333−30000000000
χ5122-2-2-122-2-112-2-21-1-2211-1-2-112−2i2i−2i2i0−i3i301-1-221-1i3−i300i3i3−i3−i32i−2i000000i−i00i−i0−i3i31-1000000−ii−333−30000000000
χ5222-2-2-122-2-112-2-21-1-2211-1-2-112−2i2i−2i2i0i3−i301-1-221-1−i3i300−i3−i3i3i32i−2i000000i−i00i−i0i3−i31-1000000−ii3−3−330000000000
χ5344444-2-4-444-2-2-24-200-2-2-22-4-42000000000000220000000000004-40000-2-200000000000020000000000000000
χ5444444-2-4-444-2-2-24-200-2-2-22-4-4200000000000022000000000000-44000022000000000000-20000000000000000
χ554444-24-4-4-2-2444-2-200-2-2-2-422-444-4-400000000220000000000000000-2-20022000000000000000000000000000
χ564444-24-4-4-2-2444-2-200-2-2-2-422-4-4-444000000002200000000000000002200-2-2000000000000000000000000000
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
χ6144-4-44-24-44-4-222-4-24-422-224-4-2000000004-4-222-20000000000000000000000000-220000000000000000000000
χ6244-4-44-24-44-4-222-4-2-4422-224-4-200000000-442-22-200000000000000000000000002-20000000000000000000000
χ6344-4-44-2-444-4-222-4-20022-2-2-442000000000000-2200000000004i−4i000000000000000000−2i2i00000000000000000
χ6444-4-44-2-444-4-222-4-20022-2-2-442000000000000-220000000000−4i4i0000000000000000002i−2i00000000000000000
χ6544-4-4-24-44-224-4-42-20022-242-2-44i−4i−4i4i00000000-220000000000000000−2i2i002i−2i000000000000000000000000000
χ6644-4-4-24-44-224-4-42-20022-242-2-4−4i4i4i−4i00000000-2200000000000000002i−2i00−2i2i000000000000000000000000000
χ6744-4-4-2-24-4-22-222214-4-1-112-22-200000−2i32i30-22-22-11−2i32i300i3i3−i3−i3000000000000000i3−i31-10000000000000000000000
χ6844-4-4-2-24-4-22-222214-4-1-112-22-2000002i3−2i30-22-22-112i3−2i300−i3−i3i3i3000000000000000−i3i31-10000000000000000000000
χ6944-4-4-2-24-4-22-22221-44-1-112-22-200000−2i32i302-22-2-112i3−2i300−i3−i3i3i3000000000000000i3−i3-110000000000000000000000
χ7044-4-4-2-24-4-22-22221-44-1-112-22-2000002i3−2i302-22-2-11−2i32i300i3i3−i3−i3000000000000000−i3i3-110000000000000000000000
χ714-44-44400-44-44-4-44004-4-400000000000000000000000000000000−2i22i200000000000000000000000−2i22i200000000
χ724-44-44400-44-44-4-44004-4-4000000000000000000000000000000002i2−2i2000000000000000000000002i2−2i200000000
χ734-44-44-200-442-22-4-200-222000000000000000000006−66−66−6000000−2i22i200−2i32i30000000000000000000i2−i200000000
χ744-44-44-200-442-22-4-200-222000000000000000000006−66−66−60000002i2−2i2002i3−2i30000000000000000000−i2i200000000
χ754-44-44-200-442-22-4-200-22200000000000000000000−66−66−66000000−2i22i2002i3−2i30000000000000000000i2−i200000000
χ764-44-44-200-442-22-4-200-22200000000000000000000−66−66−660000002i2−2i200−2i32i30000000000000000000−i2i200000000
χ774-4-444400-4-4-4-444400-44-400000000000000000000000000000000000000000000000000000000000000022−2200
χ784-4-444400-4-4-4-444400-44-4000000000000000000000000000000000000000000000000000000000000000−222200
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4-4-88-44-4444200-2-22-44-440000000000002-20000000000000000000000000000000000000000000000000
χ818-88-8-48004-4-88-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-44-4442002-2-20000000000000000000026−26−66−6600000000000000000000000000000000000000000
χ838-88-8-4-4004-44-4442002-2-200000000000000000000−26266−66−600000000000000000000000000000000000000000
χ848-8-888-400-8-844-48-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-480044-8-88-4-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004444-4-4200-22-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ878-8-88-4-4004444-4-4200-22-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000

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