Finite Group Databasebeta

← Group #11722938

Character table — Group #11722938

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222222444444444444666666888812121212121212121212121212121212121212121212121218181818181827272727363636363636
order12223336666666663336666666664444443666121212121212121212121212121212121212121212121212222244444466661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111111111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111-1-11111111111-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ51111111111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ61111111111111111111111111111-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1
χ71111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111
χ91-11-1111-111-1-1-1-1-11111111-1-1-1-1-1-1i−ii−ii−i11-1-1ii−i−ii−ii−ii−ii−iii−i−iii−i−iii−i−i1-11-11-1ii−i−i1-11-11-1
χ101-11-1111-111-1-1-1-1-11111111-1-1-1-1-1-1i−ii−i−ii11-1-1ii−i−ii−i−iii−i−iiii−i−iii−i−i−i−iii1-1-11-11−i−iii1-1-11-11
χ111-11-1111-111-1-1-1-1-11111111-1-1-1-1-1-1i−i−iii−i11-1-1ii−i−i−iii−i−iii−iii−i−i−i−iiiii−i−i-111-1-11−i−iii-111-1-11
χ121-11-1111-111-1-1-1-1-11111111-1-1-1-1-1-1i−i−ii−ii11-1-1ii−i−i−ii−ii−ii−iiii−i−i−i−iii−i−iii-11-111-1ii−i−i-11-111-1
χ131-11-1111-111-1-1-1-1-11111111-1-1-1-1-1-1−iii−ii−i11-1-1−i−iiii−ii−ii−ii−i−i−iiiii−i−iii−i−i-11-111-1−i−iii-11-111-1
χ141-11-1111-111-1-1-1-1-11111111-1-1-1-1-1-1−iii−i−ii11-1-1−i−iiii−i−iii−i−ii−i−iiiii−i−i−i−iii-111-1-11ii−i−i-111-1-11
χ151-11-1111-111-1-1-1-1-11111111-1-1-1-1-1-1−ii−iii−i11-1-1−i−iii−iii−i−iii−i−i−iii−i−iiiii−i−i1-1-11-11ii−i−i1-1-11-11
χ161-11-1111-111-1-1-1-1-11111111-1-1-1-1-1-1−ii−ii−ii11-1-1−i−iii−ii−ii−ii−ii−i−iii−i−iii−i−iii1-11-11-1−i−iii1-11-11-1
χ17222222-122-122-1-1222-1-12-1-12-1-12-1-1220022-1-1-1-12-12-100-1-10022-1-1-1-10000-1-1-1-1002200000000-1-100
χ18222222-122-122-1-1222-1-12-1-12-1-12-1-12200-2-2-1-1-1-12-12-1001100-2-2-1-1-1-10000111100-2-2000000001100
χ19222222-122-122-1-1222-1-12-1-12-1-12-1-1-2-20022-1-1-1-1-21-2100-1-1002211110000-1-1-1-100-2-2000000001100
χ20222222-122-122-1-1222-1-12-1-12-1-12-1-1-2-200-2-2-1-1-1-1-21-21001100-2-2111100001111002200000000-1-100
χ2122222-122-12-1-12222-12-1-12-1-12-1-12-1222200-1-1-1-1-12-12-1-1002200-1-1-1-1-1-1-1-100002200000000-1-10000
χ2222222-122-12-1-12222-12-1-12-1-12-1-12-122-2-200-1-1-1-1-12-121100-2-200-1-1-1-111110000-2-200000000110000
χ2322222-122-12-1-12222-12-1-12-1-12-1-12-1-2-22200-1-1-1-11-21-2-1-10022001111-1-1-1-10000-2-200000000110000
χ2422222-122-12-1-12222-12-1-12-1-12-1-12-1-2-2-2-200-1-1-1-11-21-21100-2-2001111111100002200000000-1-10000
χ252222-122-1222222-1-1-1-12-1-12-1-12-1-12002222-1-1-1-100002222-1-1-1-10000-1-1-1-1-1-1-1-100002200000000-1-1
χ262222-122-1222222-1-1-1-12-1-12-1-12-1-120022-2-2-1-1-1-1000022-2-2-1-1110000-1-1-1-111110000-2-20000000011
χ272222-122-1222222-1-1-1-12-1-12-1-12-1-1200-2-222-1-1-1-10000-2-22211-1-100001111-1-1-1-10000-2-20000000011
χ282222-122-1222222-1-1-1-12-1-12-1-12-1-1200-2-2-2-2-1-1-1-10000-2-2-2-2111100001111111100002200000000-1-1
χ2922-2-22222-2-22-22-2-2-2222-2-2-222-2-2-220000002-22-20000000000000000000000000000002i−2i2i−2i000000
χ3022-2-22222-2-22-22-2-2-2222-2-2-222-2-2-220000002-22-2000000000000000000000000000000−2i2i−2i2i000000
χ312-22-222-1-22-1-2-211-222-1-12-1-1-211-2112i−2i002i−2i-1-1112i−i−2ii00−ii002i−2i−i−iii0000−i−iii002-200000000-1100
χ322-22-222-1-22-1-2-211-222-1-12-1-1-211-2112i−2i00−2i2i-1-1112i−i−2ii00i−i00−2i2i−i−iii0000ii−i−i00-22000000001-100
χ332-22-222-1-22-1-2-211-222-1-12-1-1-211-211−2i2i002i−2i-1-111−2ii2i−i00−ii002i−2iii−i−i0000−i−iii00-22000000001-100
χ342-22-222-1-22-1-2-211-222-1-12-1-1-211-211−2i2i00−2i2i-1-111−2ii2i−i00i−i00−2i2iii−i−i0000ii−i−i002-200000000-1100
χ352-22-22-12-2-1211-2-2-22-12-1-12-11-211-212i−2i2i−2i00-1-111−i2ii−2i−ii002i−2i00−i−iii−i−iii00002-200000000-110000
χ362-22-22-12-2-1211-2-2-22-12-1-12-11-211-212i−2i−2i2i00-1-111−i2ii−2ii−i00−2i2i00−i−iiiii−i−i0000-22000000001-10000
χ372-22-22-12-2-1211-2-2-22-12-1-12-11-211-21−2i2i2i−2i00-1-111i−2i−i2i−ii002i−2i00ii−i−i−i−iii0000-22000000001-10000
χ382-22-22-12-2-1211-2-2-22-12-1-12-11-211-21−2i2i−2i2i00-1-111i−2i−i2ii−i00−2i2i00ii−i−iii−i−i00002-200000000-110000
χ392-22-2-122122-2-2-2-21-1-1-12-1-1211-211-2002i−2i2i−2i-1-11100002i−2i2i−2i−ii−ii0000−i−iii−i−iii00002-200000000-11
χ402-22-2-122122-2-2-2-21-1-1-12-1-1211-211-2002i−2i−2i2i-1-11100002i−2i−2i2i−iii−i0000−i−iiiii−i−i0000-22000000001-1
χ412-22-2-122122-2-2-2-21-1-1-12-1-1211-211-200−2i2i2i−2i-1-1110000−2i2i2i−2ii−i−ii0000ii−i−i−i−iii0000-22000000001-1
χ422-22-2-122122-2-2-2-21-1-1-12-1-1211-211-200−2i2i−2i2i-1-1110000−2i2i−2i2ii−ii−i0000ii−i−iii−i−i00002-200000000-11
χ432-2-22222-2-2-2-22-222-2222-2-2-2-2-2222-20000002-2-220000000000000000000000000000002-2-22000000
χ442-2-22222-2-2-2-22-222-2222-2-2-2-2-2222-20000002-2-22000000000000000000000000000000-222-2000000
χ4544444-2-24-2-2-2-2-2-244-2-21-2-21-2-21-2-214400001111-2-2-2-2000000001111000000000000000000000000
χ4644444-2-24-2-2-2-2-2-244-2-21-2-21-2-21-2-21-4-400001111222200000000-1-1-1-1000000000000000000000000
χ474444-24-2-24-244-2-2-2-2-21-2-21-2-21-2-21-20000441111000000-2-200-2-20000000011110000000000000000
χ484444-24-2-24-244-2-2-2-2-21-2-21-2-21-2-21-20000-4-4111100000022002200000000-1-1-1-10000000000000000
χ494444-2-24-2-24-2-244-2-21-2-21-2-21-2-21-2-200440011110000-2-200-2-2000000111100000000000000000000
χ504444-2-24-2-24-2-244-2-21-2-21-2-21-2-21-2-200-4-40011110000220022000000-1-1-1-100000000000000000000
χ5144-4-444-24-424-4-22-4-44-2-2-4224-22-42-2000000-22-220000000000000000000000000000000000000000
χ5244-4-44-2442-4-224-4-4-4-24-22-42-2422-4-2000000-22-220000000000000000000000000000000000000000
χ5344-4-44-2-2422-22-22-4-4-2-2122-1-2-2-12210000001-11-10000000000003-33-3000000000000000000000000
χ5444-4-44-2-2422-22-22-4-4-2-2122-1-2-2-12210000001-11-1000000000000-33-33000000000000000000000000
χ5544-4-4-244-2-4-44-44-422-2-2422-4-2-2-4224000000-22-220000000000000000000000000000000000000000
χ5644-4-4-24-2-2-424-4-2222-21-22-12-2122-1-20000001-11-1000000000000000000003i−3i3i−3i0000000000000000
χ5744-4-4-24-2-2-424-4-2222-21-22-12-2122-1-20000001-11-100000000000000000000−3i3i−3i3i0000000000000000
χ5844-4-4-2-24-22-4-224-4221-2-2-1221-22-12-20000001-11-100000000000000003i−3i3i−3i00000000000000000000
χ5944-4-4-2-24-22-4-224-4221-2-2-1221-22-12-20000001-11-10000000000000000−3i3i−3i3i00000000000000000000
χ604-44-44-2-2-4-2-22222-44-2-21-2-2122-122-14i−4i000011-1-1−2i−2i2i2i00000000ii−i−i000000000000000000000000
χ614-44-44-2-2-4-2-22222-44-2-21-2-2122-122-1−4i4i000011-1-12i2i−2i−2i00000000−i−iii000000000000000000000000
χ624-44-4-24-224-2-4-4222-2-21-2-21-22-122-1200004i−4i11-1-1000000−2i2i00−2i2i00000000ii−i−i0000000000000000
χ634-44-4-24-224-2-4-4222-2-21-2-21-22-122-120000−4i4i11-1-10000002i−2i002i−2i00000000−i−iii0000000000000000
χ644-44-4-2-242-2422-4-42-21-2-21-2-2-122-122004i−4i0011-1-10000−2i2i00−2i2i000000ii−i−i00000000000000000000
χ654-44-4-2-242-2422-4-42-21-2-21-2-2-122-12200−4i4i0011-1-100002i−2i002i−2i000000−i−iii00000000000000000000
χ664-4-4444-2-4-42-442-24-44-2-2-422-42-24-22000000-222-20000000000000000000000000000000000000000
χ674-4-444-24-42-42-2-444-4-24-22-422-4-2-242000000-222-20000000000000000000000000000000000000000
χ684-4-444-2-2-4222-22-24-4-2-2122-1221-2-2-10000001-1-110000000000003i−3i−3i3i000000000000000000000000
χ694-4-444-2-2-4222-22-24-4-2-2122-1221-2-2-10000001-1-11000000000000−3i3i3i−3i000000000000000000000000
χ704-4-44-2442-4-4-44-44-22-2-2422-4224-2-2-4000000-222-20000000000000000000000000000000000000000
χ714-4-44-24-22-42-442-2-22-21-22-122-1-2-2120000001-1-11000000000000000000003-3-330000000000000000
χ724-4-44-24-22-42-442-2-22-21-22-122-1-2-2120000001-1-1100000000000000000000-333-30000000000000000
χ734-4-44-2-2422-42-2-44-221-2-2-122-12-21-220000001-1-1100000000000000003-3-3300000000000000000000
χ744-4-44-2-2422-42-2-44-221-2-2-122-12-21-220000001-1-110000000000000000-333-300000000000000000000
χ758888-4-4-4-4-4-4-4-4-4-4-4-4222222222222000000-1-1-1-10000000000000000000000000000000000000000
χ7688-8-8-4-4-4-444-44-4444222-2-2-222-2-2-22000000-11-110000000000000000000000000000000000000000
χ778-88-8-4-4-44-4-444444-4222222-2-2-2-2-2-2000000-1-1110000000000000000000000000000000000000000
χ788-8-88-4-4-44444-44-4-44222-2-2-2-2-2222-2000000-111-10000000000000000000000000000000000000000

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