Finite Group Databasebeta

← Group #11876926

Character table — Group #11876926

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466668888888888121212121212121212121212121216161616161616161818181824242424242424243636484848487272
order1222334466666636668812121212242424244444441212242424242424248888121212122424242412121212121212124444224461224248866121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-11-1-11-1-1-1-1-1-11-1-11-1-1
χ311111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111
χ51111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-11111-1-1-111-1-1-1
χ61111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-11-1-1111
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-111111-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-1111-1-11111-11-1111-1-1-1-1-11-111-1
χ10111111111111111111-1-11111-1-1-1-111111-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1111-1-1-1-1-1-1-1-111-1-11111-1-111-11
χ11111111111111111111-1-11111-1-1-1-11111-1111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-11-1-1-11111111-11-111-1-1-1-11-11-1-11
χ12111111111111111111-1-11111-1-1-1-11111-1111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-1-1-111-1-1-1-111-1-1-1-1111111-1-11-1
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-111-1-111-1-1-1-11111-11-1111-1-1-1-1-1-111-1-111-1-11111-1-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-111111-11-1-1-111-1-11-11-11-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-111111-11-1-1-111-1-1-1-1-1-11111-1-111-1-1111-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-1-1111111-11-11-1-111-1-1-11-11-11
χ17222222-2-2222222222200-2-2-2-2000022-2-200-2-20000002-2000022-2-200000000000022-2-200002-20000000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200-2-2000000-22000022-2-2000000000000-2-2220000-220000000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200-2-20000002-20000-2-222000000000000-2-22200002-20000000000
χ20222222-2-2222222222200-2-2-2-20000-2-22200-2-2000000-220000-2-22200000000000022-2-20000-220000000000
χ2122222-122-122-1-12-1-1-1-122-122-12222000022-1-1-1-1-1-1-1-12222000000000022-1-1-1-1-1-100000220-1-1-1-1000-1-1000
χ2222222-122-122-1-12-1-1-1-122-122-12222000022-1-1-1-1-1-1-1-1-2-2-2-2000000000022-1-1-1-1-1-100000-2-20111100011000
χ2322222-122-122-1-12-1-1-1-122-122-122220000-2-2-1-1-1-1-1-1-1-122220000000000-2-211111100000-2-20-1-1-1-100011000
χ2422222-122-122-1-12-1-1-1-122-122-122220000-2-2-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-2111111000002201111000-1-1000
χ2522222-122-122-1-12-1-1-1-1-2-2-122-1-2-2-2-200002-2-1-111111122-2-20000000000-221-1-1-111000002-20-1-111000-11000
χ2622222-122-122-1-12-1-1-1-1-2-2-122-1-2-2-2-200002-2-1-1111111-2-2220000000000-221-1-1-11100000-22011-1-10001-1000
χ2722222-122-122-1-12-1-1-1-1-2-2-122-1-2-2-2-20000-22-1-111111122-2-200000000002-2-1111-1-100000-220-1-1110001-1000
χ2822222-122-122-1-12-1-1-1-1-2-2-122-1-2-2-2-20000-22-1-1111111-2-22200000000002-2-1111-1-1000002-2011-1-1000-11000
χ292222-12222-1-122-1-1-1-1-1222-1-12-1-1-1-1222222-1-122-1-1-1-1000022-1-1-1-1-1-1-1-1-1-122-1-1-1-100002002000000-100-100
χ302222-12222-1-122-1-1-1-1-1222-1-12-1-1-1-12222-2-2-1-122-1-1-1-1000022-1-1-1-1-1-1-1-111-2-211110000-200-2000000100100
χ312222-12222-1-122-1-1-1-1-1222-1-12-1-1-1-1-2-2-2-222-1-122-1-1-1-10000-2-211111111-1-122-1-1-1-10000-200-2000000100100
χ322222-12222-1-122-1-1-1-1-1222-1-12-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-10000-2-21111111111-2-2111100002002000000-100-100
χ332222-12222-1-122-1-1-1-1-1-2-22-1-12111122222-2-1-1-2-211110000-2-2-1-1-1-111111-1-22-1-1110000-2002000000100-100
χ342222-12222-1-122-1-1-1-1-1-2-22-1-1211112222-22-1-1-2-211110000-2-2-1-1-1-11111-112-211-1-10000200-2000000-100100
χ352222-12222-1-122-1-1-1-1-1-2-22-1-121111-2-2-2-22-2-1-1-2-211110000221111-1-1-1-11-1-22-1-1110000200-2000000-100100
χ362222-12222-1-122-1-1-1-1-1-2-22-1-121111-2-2-2-2-22-1-1-2-211110000221111-1-1-1-1-112-211-1-10000-2002000000100-100
χ372-22-2222-2-22-22-2-22-2-2200-22-220000000000-22000000002-22i−2i00002i2i−2i−2i000000002i−2i2i−2i0000002-200000000
χ382-22-2222-2-22-22-2-22-2-2200-22-220000000000-22000000002-2−2i2i0000−2i−2i2i2i00000000−2i2i−2i2i0000002-200000000
χ392-22-2222-2-22-22-2-22-2-2200-22-220000000000-2200000000-222i−2i00002i2i−2i−2i00000000−2i2i−2i2i000000-2200000000
χ402-22-2222-2-22-22-2-22-2-2200-22-220000000000-2200000000-22−2i2i0000−2i−2i2i2i000000002i−2i2i−2i000000-2200000000
χ412-22-222-22-22-22-2-22-2-222i−2i2-22-22i2i−2i−2i0000002-22i−2i2i2i−2i−2i00000000000000000000002i−2i−2i2i000000002-2000000
χ422-22-222-22-22-22-2-22-2-222i−2i2-22-22i2i−2i−2i0000002-22i−2i2i2i−2i−2i0000000000000000000000−2i2i2i−2i00000000-22000000
χ432-22-222-22-22-22-2-22-2-22−2i2i2-22-2−2i−2i2i2i0000002-2−2i2i−2i−2i2i2i00000000000000000000002i−2i−2i2i00000000-22000000
χ442-22-222-22-22-22-2-22-2-22−2i2i2-22-2−2i−2i2i2i0000002-2−2i2i−2i−2i2i2i0000000000000000000000−2i2i2i−2i000000002-2000000
χ4544444-2-4-4-244-2-24-2-2-2-2002-4-420000000000220000004-40000000000000000000000000000-220000000000
χ4644444-2-4-4-244-2-24-2-2-2-2002-4-42000000000022000000-4400000000000000000000000000002-20000000000
χ474444-24-4-44-2-244-2-2-2-2-200-422-4000044-4-40022000000000000-2-22200000000000000000000000000000000
χ484444-24-4-44-2-244-2-2-2-2-200-422-40000-4-444002200000000000022-2-200000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200004411-2-2111100000000000000-2-2-2-2111100000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000-4-411-2-21111000000000000002222-1-1-1-100000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200004-41122-1-1-1-1000000000000002-22-211-1-100000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000-441122-1-1-1-100000000000000-22-22-1-11100000000000000000000
χ5344-4-44400-4-44-44-44-44-40000000000004i−4i0000000000000000004i−4i00000000000000000000000000000000
χ5444-4-44400-4-44-44-44-44-4000000000000−4i4i000000000000000000−4i4i00000000000000000000000000000000
χ5544-4-4-2400-42-2-442-22-220000006−66−6004i−4i0000006−66−600000000−2i2ii6−i6i6−i60000000000000000000000000000
χ5644-4-4-2400-42-2-442-22-220000006−66−600−4i4i0000006−66−6000000002i−2i−i6i6−i6i60000000000000000000000000000
χ5744-4-4-2400-42-2-442-22-22000000−66−66004i−4i000000−66−6600000000−2i2i−i6i6−i6i60000000000000000000000000000
χ5844-4-4-2400-42-2-442-22-22000000−66−6600−4i4i000000−66−66000000002i−2ii6−i6i6−i60000000000000000000000000000
χ594-44-44-24-424-4-22-4-222-20024-4-200000000002-2000000004-40000000000000000000000000000-2200000000
χ604-44-44-24-424-4-22-4-222-20024-4-200000000002-200000000-4400000000000000000000000000002-200000000
χ614-44-44-2-4424-4-22-4-222-24i−4i-2-4424i4i−4i−4i000000-22−2i2i−2i−2i2i2i000000000000000000000000000000000000000000
χ624-44-44-2-4424-4-22-4-222-2−4i4i-2-442−4i−4i4i4i000000-222i−2i2i2i−2i−2i000000000000000000000000000000000000000000
χ634-44-4-244-4-4-224-42-222-200-4-22400000000002-200000000004i−4i0000−2i−2i2i2i0000000000000000000000000000
χ644-44-4-244-4-4-224-42-222-200-4-22400000000002-20000000000−4i4i00002i2i−2i−2i0000000000000000000000000000
χ654-44-4-24-44-4-224-42-222-24i−4i42-2-4−2i−2i2i2i000000-224i−4i−2i−2i2i2i000000000000000000000000000000000000000000
χ664-44-4-24-44-4-224-42-222-2−4i4i42-2-42i2i−2i−2i000000-22−4i4i2i2i−2i−2i000000000000000000000000000000000000000000
χ674-44-4-2-2-442-22-2221-1-114i−4i-22-22−2i−2i2i2i0000001-1−2i2iii−i−i0000000000000000003i−3i3-300000000000000000000
χ684-44-4-2-2-442-22-2221-1-114i−4i-22-22−2i−2i2i2i0000001-1−2i2iii−i−i000000000000000000−3i3i-3300000000000000000000
χ694-44-4-2-2-442-22-2221-1-11−4i4i-22-222i2i−2i−2i0000001-12i−2i−i−iii0000000000000000003i−3i-3300000000000000000000
χ704-44-4-2-2-442-22-2221-1-11−4i4i-22-222i2i−2i−2i0000001-12i−2i−i−iii000000000000000000−3i3i3-300000000000000000000
χ714-4-4444004-4-4-4-4444-4-400000000004i−4i0000000000000000004i−4i0000000000000000000000000000000000
χ724-4-4444004-4-4-4-4444-4-40000000000−4i4i000000000000000000−4i4i0000000000000000000000000000000000
χ734-4-44-2400422-4-4-2-2-222000000i6−i6−i6i64i−4i00000000i6−i6−i6i6000000−2i2i006−6−660000000000000000000000000000
χ744-4-44-2400422-4-4-2-2-222000000i6−i6−i6i6−4i4i00000000i6−i6−i6i60000002i−2i00−666−60000000000000000000000000000
χ754-4-44-2400422-4-4-2-2-222000000−i6i6i6−i64i−4i00000000−i6i6i6−i6000000−2i2i00−666−60000000000000000000000000000
χ764-4-44-2400422-4-4-2-2-222000000−i6i6i6−i6−4i4i00000000−i6i6i6−i60000002i−2i006−6−660000000000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-88-4004-884-4-8-44-44000000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-40044-44-442-22-200000026−2626−260000000000−66−66000000000000000000000000000000000000000000
χ8088-8-8-4-40044-44-442-22-2000000−2626−262600000000006−66−6000000000000000000000000000000000000000000
χ818-88-8-4-48-84-44-4442-2-22004-44-40000000000-22000000000000000000000000000000000000000000000000
χ828-8-888-400-4-8-8448-4-444000000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-44444-422-2-20000002i6−2i6−2i62i60000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ848-8-88-4-400-44444-422-2-2000000−2i62i62i6−2i60000000000i6−i6−i6i6000000000000000000000000000000000000000000

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