Finite Group Databasebeta

← Group #11921034

Character table — Group #11921034

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444466668888888888881212121212121212121216161616161616161616161616161616161636363636727272727272
order122234466644121212121212224433366666666644661212121212121212121212121212121212121212121212124444228888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ41111111111-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51-11-111-1-11-1i−iii−i−i1-11-1-11111-1-1-1111-1-1-1i−i1-11-1ii−i−i111-1-1-1iiiiii−i−i−i−i−i−iii−i−i1-1i−i1-1
χ61-11-111-1-11-1i−iii−i−i1-11-1-11111-1-1-1111-1-1-1i−i1-11-1ii−i−i111-1-1-1iiiiii−i−i−i−i−i−i−i−iii-11−ii-11
χ71-11-111-1-11-1−ii−i−iii1-11-1-11111-1-1-1111-1-1-1−ii1-11-1−i−iii111-1-1-1−i−i−i−i−i−iiiiiiiii−i−i-11i−i-11
χ81-11-111-1-11-1−ii−i−iii1-11-1-11111-1-1-1111-1-1-1−ii1-11-1−i−iii111-1-1-1−i−i−i−i−i−iiiiiii−i−iii1-1−ii1-1
χ92222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ102222222222-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-1-1-1-1-11111111111110000000000
χ1122222-2-2222000000-2-2-2-22222222222222200-2-2220000-2-2-2-2-2-20000000000000000000000
χ1222222-2-2222000000-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-100-2-2220000111111−i3−i3−i3i3i3i3−i3−i3−i3i3i3i30000000000
χ1322222-2-2222000000-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-100-2-2220000111111i3i3i3−i3−i3−i3i3i3i3−i3−i3−i30000000000
χ142222-122-1-1-122-1-1-1-1-1-122222-1-12-1-12-1-12-1-122-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-10000000000
χ152222-122-1-1-122-1-1-1-1-1-12222-12-1-12-1-12-1-12-122-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-10000000000
χ162222-122-1-1-122-1-1-1-1-1-12222-1-12-1-12-1-12-1-1222-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-120000000000
χ172222-122-1-1-1-2-21111-1-122222-1-12-1-12-1-12-1-1-2-2-1-1-1-111112-1-12-1-1-211-211-211-2110000000000
χ182222-122-1-1-1-2-21111-1-12222-12-1-12-1-12-1-12-1-2-2-1-1-1-11111-12-1-12-11-211-211-211-210000000000
χ192222-122-1-1-1-2-21111-1-12222-1-12-1-12-1-12-1-12-2-2-1-1-1-11111-1-12-1-1211-211-211-211-20000000000
χ202222-1-2-2-1-1-100−i3i3−i3i311-2-2222-1-12-1-12-1-12-1-10011-1-1−i3i3−i3i3-211-2110−i3i30i3−i30−i3i30i3−i30000000000
χ212222-1-2-2-1-1-100−i3i3−i3i311-2-222-12-1-12-1-12-1-12-10011-1-1−i3i3−i3i31-211-21i30−i3−i30i3i30−i3−i30i30000000000
χ222222-1-2-2-1-1-100−i3i3−i3i311-2-222-1-12-1-12-1-12-1-120011-1-1−i3i3−i3i311-211-2−i3i30i3−i30−i3i30i3−i300000000000
χ232222-1-2-2-1-1-100i3−i3i3−i311-2-2222-1-12-1-12-1-12-1-10011-1-1i3−i3i3−i3-211-2110i3−i30−i3i30i3−i30−i3i30000000000
χ242222-1-2-2-1-1-100i3−i3i3−i311-2-222-12-1-12-1-12-1-12-10011-1-1i3−i3i3−i31-211-21−i30i3i30−i3−i30i3i30−i30000000000
χ252222-1-2-2-1-1-100i3−i3i3−i311-2-222-1-12-1-12-1-12-1-120011-1-1i3−i3i3−i311-211-2i3−i30−i3i30i3−i30−i3i300000000000
χ262-22-222-2-22-22i−2i2i2i−2i−2i2-22-2-22-1-1-1111-1-1-11112i−2i2-22-22i2i−2i−2i-1-1-1111−i−i−i−i−i−iiiiiii0000000000
χ272-22-222-2-22-2−2i2i−2i−2i2i2i2-22-2-22-1-1-1111-1-1-1111−2i2i2-22-2−2i−2i2i2i-1-1-1111iiiiii−i−i−i−i−i−i0000000000
χ282-22-22-22-22-2000000-22-22-22222-2-2-2222-2-2-200-222-20000-2-2-22220000000000000000000000
χ292-22-22-22-22-2000000-22-22-22-1-1-1111-1-1-111100-222-20000111-1-1-1333−3−3−3−3−3−33330000000000
χ302-22-22-22-22-2000000-22-22-22-1-1-1111-1-1-111100-222-20000111-1-1-1−3−3−3333333−3−3−30000000000
χ312-22-2-12-21-112i−2i−i−iii-112-2-222-1-1-2112-1-1-2112i−2i-11-11−i−iii2-1-1-2112i−i−i2i−i−i−2iii−2iii0000000000
χ322-22-2-12-21-112i−2i−i−iii-112-2-22-12-11-21-12-11-212i−2i-11-11−i−iii-12-11-21−i2i−i−i2i−ii−2iii−2ii0000000000
χ332-22-2-12-21-112i−2i−i−iii-112-2-22-1-1211-2-1-1211-22i−2i-11-11−i−iii-1-1211-2−i−i2i−i−i2iii−2iii−2i0000000000
χ342-22-2-12-21-11−2i2iii−i−i-112-2-222-1-1-2112-1-1-211−2i2i-11-11ii−i−i2-1-1-211−2iii−2iii2i−i−i2i−i−i0000000000
χ352-22-2-12-21-11−2i2iii−i−i-112-2-22-12-11-21-12-11-21−2i2i-11-11ii−i−i-12-11-21i−2iii−2ii−i2i−i−i2i−i0000000000
χ362-22-2-12-21-11−2i2iii−i−i-112-2-22-1-1211-2-1-1211-2−2i2i-11-11ii−i−i-1-1211-2ii−2iii−2i−i−i2i−i−i2i0000000000
χ372-22-2-1-221-11003−3−331-1-22-222-1-1-2112-1-1-211001-1-113−3−33-2112-1-103−30−330−3303−30000000000
χ382-22-2-1-221-11003−3−331-1-22-22-12-11-21-12-11-21001-1-113−3−331-21-12-1−30330−330−3−3030000000000
χ392-22-2-1-221-11003−3−331-1-22-22-1-1211-2-1-1211-2001-1-113−3−3311-2-1-123−30−330−3303−300000000000
χ402-22-2-1-221-1100−333−31-1-22-222-1-1-2112-1-1-211001-1-11−333−3-2112-1-10−3303−303−30−330000000000
χ412-22-2-1-221-1100−333−31-1-22-22-12-11-21-12-11-21001-1-11−333−31-21-12-130−3−303−30330−30000000000
χ422-22-2-1-221-1100−333−31-1-22-22-1-1211-2-1-1211-2001-1-11−333−311-2-1-12−3303−303−30−3300000000000
χ43333333333333333333-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-10000000000000000001111-1-1-1-111
χ44333333333333333333-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1000000000000000000-1-1-1-11111-1-1
χ453333333333-3-3-3-3-3-333-1-1-1-100000000000011-1-1-1-11111000000000000000000111111-1-1-1-1
χ463333333333-3-3-3-3-3-333-1-1-1-100000000000011-1-1-1-11111000000000000000000-1-1-1-1-1-11111
χ473-33-333-3-33-33i−3i3i3i−3i−3i3-3-111-1000000000000−ii-11-11−i−iii000000000000000000ii−i−i-11−ii1-1
χ483-33-333-3-33-33i−3i3i3i−3i−3i3-3-111-1000000000000−ii-11-11−i−iii000000000000000000−i−iii1-1i−i-11
χ493-33-333-3-33-3−3i3i−3i−3i3i3i3-3-111-1000000000000i−i-11-11ii−i−i000000000000000000ii−i−i1-1−ii-11
χ503-33-333-3-33-3−3i3i−3i−3i3i3i3-3-111-1000000000000i−i-11-11ii−i−i000000000000000000−i−iii-11i−i1-1
χ5144-4-44004-4-4000000000000-2-2-2222222-2-2-200000000000000000000000000002i−2i2i−2i000000
χ5244-4-44004-4-4000000000000-2-2-2222222-2-2-20000000000000000000000000000−2i2i−2i2i000000
χ534-4-44400-4-44000000000000-2-2-2-2-2-222222200000000000000000000000000002-2-22000000
χ544-4-44400-4-44000000000000-2-2-2-2-2-22222220000000000000000000000000000-222-2000000
χ5566666-6-6666000000-6-622-2-20000000000000022-2-200000000000000000000000000000000
χ566666-366-3-3-366-3-3-3-3-3-3-2-2-2-2000000000000-2-2111111110000000000000000000000000000
χ576666-366-3-3-3-6-63333-3-3-2-2-2-2000000000000221111-1-1-1-10000000000000000000000000000
χ586666-3-6-6-3-3-300−3i33i3−3i33i33322-2-200000000000000-1-111i3−i3i3−i30000000000000000000000000000
χ596666-3-6-6-3-3-3003i3−3i33i3−3i33322-2-200000000000000-1-111−i3i3−i3i30000000000000000000000000000
χ606-66-66-66-66-6000000-662-22-2000000000000002-2-2200000000000000000000000000000000
χ616-66-6-36-63-336i−6i−3i−3i3i3i-33-222-2000000000000−2i2i1-11-1ii−i−i0000000000000000000000000000
χ626-66-6-36-63-33−6i6i3i3i−3i−3i-33-222-20000000000002i−2i1-11-1−i−iii0000000000000000000000000000
χ636-66-6-3-663-330033−33−33333-32-22-200000000000000-111-1−333−30000000000000000000000000000
χ646-66-6-3-663-3300−333333−333-32-22-200000000000000-111-13−3−330000000000000000000000000000
χ6588-8-88008-8-8000000000000222-2-2-2-2-2-222200000000000000000000000000000000000000
χ6688-8-8-400-44400000000000022-4-2-24-2-2422-400000000000000000000000000000000000000
χ6788-8-8-400-4440000000000002-42-24-2-24-22-4200000000000000000000000000000000000000
χ6888-8-8-400-444000000000000-4224-2-24-2-2-42200000000000000000000000000000000000000
χ698-8-88800-8-88000000000000222222-2-2-2-2-2-200000000000000000000000000000000000000
χ708-8-88-40044-400000000000022-422-4-2-24-2-2400000000000000000000000000000000000000
χ718-8-88-40044-40000000000002-422-42-24-2-24-200000000000000000000000000000000000000
χ728-8-88-40044-4000000000000-422-4224-2-24-2-200000000000000000000000000000000000000

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