Finite Group Databasebeta

← Group #11921002

Character table — Group #11921002

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122333333666666666666323232323232363636363636363611223333336666666666663232323232323636363636363636
order1236224444446612121212121212123336664444888822662244444466121212121212121266666644448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1
χ31-11-11-111-1-11-1-111111-1-1-1-1111-1-1-1i−ii−iii−i−i1-11-11-111-1-11-1-111111-1-1-1-1111-1-1-1i−ii−iii−i−i
χ41-11-11-111-1-11-1-111111-1-1-1-1111-1-1-1−ii−ii−i−iii1-11-11-111-1-11-1-111111-1-1-1-1111-1-1-1−ii−ii−i−iii
χ52222222222222222222222-1-1-1-1-1-1000000002222222222222222222222-1-1-1-1-1-100000000
χ622-1-122222222-1-1-1-1-1-1-1-1-1-12-1-12-1-10000000022-1-122222222-1-1-1-1-1-1-1-1-1-12-1-12-1-100000000
χ722-1-122222222-1-1-1-1-1-1-1-1-1-1-12-1-12-10000000022-1-122222222-1-1-1-1-1-1-1-1-1-1-12-1-12-100000000
χ822-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12-1-120000000022-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12-1-1200000000
χ92-22-22-222-2-22-2-222222-2-2-2-2-1-1-1111000000002-22-22-222-2-22-2-222222-2-2-2-2-1-1-111100000000
χ102-2-112-222-2-22-21-1-1-1-1-111112-1-1-211000000002-2-112-222-2-22-21-1-1-1-1-111112-1-1-21100000000
χ112-2-112-222-2-22-21-1-1-1-1-11111-12-11-21000000002-2-112-222-2-22-21-1-1-1-1-11111-12-11-2100000000
χ122-2-112-222-2-22-21-1-1-1-1-11111-1-1211-2000000002-2-112-222-2-22-21-1-1-1-1-11111-1-1211-200000000
χ13333333-1-1-1-1-1-133-1-1-1-1-1-1-1-10000001111-1-1-1-1333333-1-1-1-1-1-133-1-1-1-1-1-1-1-10000001111-1-1-1-1
χ14333333-1-1-1-1-1-133-1-1-1-1-1-1-1-1000000-1-1-1-11111333333-1-1-1-1-1-133-1-1-1-1-1-1-1-1000000-1-1-1-11111
χ153333-1-1−1+2i−1−2i−1+2i−1−2i11-1-111−1+2i−1−2i11−1+2i−1−2i00000011-1-1i−ii−i3333-1-1−1+2i−1−2i−1+2i−1−2i11-1-111−1+2i−1−2i11−1+2i−1−2i00000011-1-1i−ii−i
χ163333-1-1−1+2i−1−2i−1+2i−1−2i11-1-111−1+2i−1−2i11−1+2i−1−2i000000-1-111−ii−ii3333-1-1−1+2i−1−2i−1+2i−1−2i11-1-111−1+2i−1−2i11−1+2i−1−2i000000-1-111−ii−ii
χ173333-1-1−1−2i−1+2i−1−2i−1+2i11-1-111−1−2i−1+2i11−1−2i−1+2i00000011-1-1−ii−ii3333-1-1−1−2i−1+2i−1−2i−1+2i11-1-111−1−2i−1+2i11−1−2i−1+2i00000011-1-1−ii−ii
χ183333-1-1−1−2i−1+2i−1−2i−1+2i11-1-111−1−2i−1+2i11−1−2i−1+2i000000-1-111i−ii−i3333-1-1−1−2i−1+2i−1−2i−1+2i11-1-111−1−2i−1+2i11−1−2i−1+2i000000-1-111i−ii−i
χ193-33-33-3-1-111-11-33-1-1-1-11111000000i−ii−i−i−iii3-33-33-3-1-111-11-33-1-1-1-11111000000i−ii−i−i−iii
χ203-33-33-3-1-111-11-33-1-1-1-11111000000−ii−iiii−i−i3-33-33-3-1-111-11-33-1-1-1-11111000000−ii−iiii−i−i
χ213-33-3-11−1+2i−1−2i1−2i1+2i1-11-111−1+2i−1−2i-1-11−2i1+2i000000i−i−ii-111-13-33-3-11−1+2i−1−2i1−2i1+2i1-11-111−1+2i−1−2i-1-11−2i1+2i000000i−i−ii-111-1
χ223-33-3-11−1+2i−1−2i1−2i1+2i1-11-111−1+2i−1−2i-1-11−2i1+2i000000−iii−i1-1-113-33-3-11−1+2i−1−2i1−2i1+2i1-11-111−1+2i−1−2i-1-11−2i1+2i000000−iii−i1-1-11
χ233-33-3-11−1−2i−1+2i1+2i1−2i1-11-111−1−2i−1+2i-1-11+2i1−2i000000i−i−ii1-1-113-33-3-11−1−2i−1+2i1+2i1−2i1-11-111−1−2i−1+2i-1-11+2i1−2i000000i−i−ii1-1-11
χ243-33-3-11−1−2i−1+2i1+2i1−2i1-11-111−1−2i−1+2i-1-11+2i1−2i000000−iii−i-111-13-33-3-11−1−2i−1+2i1+2i1−2i1-11-111−1−2i−1+2i-1-11+2i1−2i000000−iii−i-111-1
χ256666-2-22222-2-2-2-2-2-222-2-222000000000000006666-2-22222-2-2-2-2-2-222-2-22200000000000000
χ2666-3-366-2-2-2-2-2-2-3-3111111110000000000000066-3-366-2-2-2-2-2-2-3-31111111100000000000000
χ2766-3-3-2-22222-2-2111+231−23-1-11+231−23-1-10000000000000066-3-3-2-22222-2-2111+231−23-1-11+231−23-1-100000000000000
χ2866-3-3-2-22222-2-2111−231+23-1-11−231+23-1-10000000000000066-3-3-2-22222-2-2111−231+23-1-11−231+23-1-100000000000000
χ2966-3-3-2-2−2+4i−2−4i−2+4i−2−4i2211-1-11−2i1+2i-1-11−2i1+2i0000000000000066-3-3-2-2−2+4i−2−4i−2+4i−2−4i2211-1-11−2i1+2i-1-11−2i1+2i00000000000000
χ3066-3-3-2-2−2−4i−2+4i−2−4i−2+4i2211-1-11+2i1−2i-1-11+2i1−2i0000000000000066-3-3-2-2−2−4i−2+4i−2−4i−2+4i2211-1-11+2i1−2i-1-11+2i1−2i00000000000000
χ316-66-6-2222-2-2-222-2-2-22222-2-2000000000000006-66-6-2222-2-2-222-2-2-22222-2-200000000000000
χ326-6-336-6-2-222-223-31111-1-1-1-1000000000000006-6-336-6-2-222-223-31111-1-1-1-100000000000000
χ336-6-33-2222-2-2-22-111+231−23-1-1−1−23−1+2311000000000000006-6-33-2222-2-2-22-111+231−23-1-1−1−23−1+231100000000000000
χ346-6-33-2222-2-2-22-111−231+23-1-1−1+23−1−2311000000000000006-6-33-2222-2-2-22-111−231+23-1-1−1+23−1−231100000000000000
χ356-6-33-22−2+4i−2−4i2−4i2+4i2-2-11-1-11−2i1+2i11−1+2i−1−2i000000000000006-6-33-22−2+4i−2−4i2−4i2+4i2-2-11-1-11−2i1+2i11−1+2i−1−2i00000000000000
χ366-6-33-22−2−4i−2+4i2+4i2−4i2-2-11-1-11+2i1−2i11−1−2i−1+2i000000000000006-6-33-22−2−4i−2+4i2+4i2−4i2-2-11-1-11+2i1−2i11−1−2i−1+2i00000000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ381111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ391-11-11-111-1-11-1-111111-1-1-1-1111-1-1-1i−ii−iii−i−i-11-11-11-1-111-111-1-1-1-1-11111-1-1-1111−ii−ii−i−iii
χ401-11-11-111-1-11-1-111111-1-1-1-1111-1-1-1−ii−ii−i−iii-11-11-11-1-111-111-1-1-1-1-11111-1-1-1111i−ii−iii−i−i
χ412222222222222222222222-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111100000000
χ4222-1-122222222-1-1-1-1-1-1-1-1-1-12-1-12-1-100000000-2-211-2-2-2-2-2-2-2-21111111111-211-21100000000
χ4322-1-122222222-1-1-1-1-1-1-1-1-1-1-12-1-12-100000000-2-211-2-2-2-2-2-2-2-211111111111-211-2100000000
χ4422-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12-1-1200000000-2-211-2-2-2-2-2-2-2-2111111111111-211-200000000
χ452-22-22-222-2-22-2-222222-2-2-2-2-1-1-111100000000-22-22-22-2-222-222-2-2-2-2-22222111-1-1-100000000
χ462-2-112-222-2-22-21-1-1-1-1-111112-1-1-21100000000-221-1-22-2-222-22-111111-1-1-1-1-2112-1-100000000
χ472-2-112-222-2-22-21-1-1-1-1-11111-12-11-2100000000-221-1-22-2-222-22-111111-1-1-1-11-21-12-100000000
χ482-2-112-222-2-22-21-1-1-1-1-11111-1-1211-200000000-221-1-22-2-222-22-111111-1-1-1-111-2-1-1200000000
χ49333333-1-1-1-1-1-133-1-1-1-1-1-1-1-10000001111-1-1-1-1-3-3-3-3-3-3111111-3-311111111000000-1-1-1-11111
χ50333333-1-1-1-1-1-133-1-1-1-1-1-1-1-1000000-1-1-1-11111-3-3-3-3-3-3111111-3-3111111110000001111-1-1-1-1
χ513333-1-1−1+2i−1−2i−1+2i−1−2i11-1-111−1+2i−1−2i11−1+2i−1−2i00000011-1-1i−ii−i-3-3-3-3111−2i1+2i1−2i1+2i-1-111-1-11−2i1+2i-1-11−2i1+2i000000-1-111−ii−ii
χ523333-1-1−1+2i−1−2i−1+2i−1−2i11-1-111−1+2i−1−2i11−1+2i−1−2i000000-1-111−ii−ii-3-3-3-3111−2i1+2i1−2i1+2i-1-111-1-11−2i1+2i-1-11−2i1+2i00000011-1-1i−ii−i
χ533333-1-1−1−2i−1+2i−1−2i−1+2i11-1-111−1−2i−1+2i11−1−2i−1+2i00000011-1-1−ii−ii-3-3-3-3111+2i1−2i1+2i1−2i-1-111-1-11+2i1−2i-1-11+2i1−2i000000-1-111i−ii−i
χ543333-1-1−1−2i−1+2i−1−2i−1+2i11-1-111−1−2i−1+2i11−1−2i−1+2i000000-1-111i−ii−i-3-3-3-3111+2i1−2i1+2i1−2i-1-111-1-11+2i1−2i-1-11+2i1−2i00000011-1-1−ii−ii
χ553-33-33-3-1-111-11-33-1-1-1-11111000000i−ii−i−i−iii-33-33-3311-1-11-13-31111-1-1-1-1000000−ii−iiii−i−i
χ563-33-33-3-1-111-11-33-1-1-1-11111000000−ii−iiii−i−i-33-33-3311-1-11-13-31111-1-1-1-1000000i−ii−i−i−iii
χ573-33-3-11−1+2i−1−2i1−2i1+2i1-11-111−1+2i−1−2i-1-11−2i1+2i000000i−i−ii-111-1-33-331-11−2i1+2i−1+2i−1−2i-11-11-1-11−2i1+2i11−1+2i−1−2i000000−iii−i1-1-11
χ583-33-3-11−1+2i−1−2i1−2i1+2i1-11-111−1+2i−1−2i-1-11−2i1+2i000000−iii−i1-1-11-33-331-11−2i1+2i−1+2i−1−2i-11-11-1-11−2i1+2i11−1+2i−1−2i000000i−i−ii-111-1
χ593-33-3-11−1−2i−1+2i1+2i1−2i1-11-111−1−2i−1+2i-1-11+2i1−2i000000i−i−ii1-1-11-33-331-11+2i1−2i−1−2i−1+2i-11-11-1-11+2i1−2i11−1−2i−1+2i000000−iii−i-111-1
χ603-33-3-11−1−2i−1+2i1+2i1−2i1-11-111−1−2i−1+2i-1-11+2i1−2i000000−iii−i-111-1-33-331-11+2i1−2i−1−2i−1+2i-11-11-1-11+2i1−2i11−1−2i−1+2i000000i−i−ii1-1-11
χ616666-2-22222-2-2-2-2-2-222-2-22200000000000000-6-6-6-622-2-2-2-2222222-2-222-2-200000000000000
χ6266-3-366-2-2-2-2-2-2-3-31111111100000000000000-6-633-6-622222233-1-1-1-1-1-1-1-100000000000000
χ6366-3-3-2-22222-2-2111+231−23-1-11+231−23-1-100000000000000-6-63322-2-2-2-222-1-1−1−23−1+2311−1−23−1+231100000000000000
χ6466-3-3-2-22222-2-2111−231+23-1-11−231+23-1-100000000000000-6-63322-2-2-2-222-1-1−1+23−1−2311−1+23−1−231100000000000000
χ6566-3-3-2-2−2+4i−2−4i−2+4i−2−4i2211-1-11−2i1+2i-1-11−2i1+2i00000000000000-6-633222−4i2+4i2−4i2+4i-2-2-1-111−1+2i−1−2i11−1+2i−1−2i00000000000000
χ6666-3-3-2-2−2−4i−2+4i−2−4i−2+4i2211-1-11+2i1−2i-1-11+2i1−2i00000000000000-6-633222+4i2−4i2+4i2−4i-2-2-1-111−1−2i−1+2i11−1−2i−1+2i00000000000000
χ676-66-6-2222-2-2-222-2-2-22222-2-200000000000000-66-662-2-2-2222-2-2222-2-2-2-22200000000000000
χ686-6-336-6-2-222-223-31111-1-1-1-100000000000000-663-3-6622-2-22-2-33-1-1-1-1111100000000000000
χ696-6-33-2222-2-2-22-111+231−23-1-1−1−23−1+231100000000000000-663-32-2-2-2222-21-1−1−23−1+23111+231−23-1-100000000000000
χ706-6-33-2222-2-2-22-111−231+23-1-1−1+23−1−231100000000000000-663-32-2-2-2222-21-1−1+23−1−23111−231+23-1-100000000000000
χ716-6-33-22−2+4i−2−4i2−4i2+4i2-2-11-1-11−2i1+2i11−1+2i−1−2i00000000000000-663-32-22−4i2+4i−2+4i−2−4i-221-111−1+2i−1−2i-1-11−2i1+2i00000000000000
χ726-6-33-22−2−4i−2+4i2+4i2−4i2-2-11-1-11+2i1−2i11−1−2i−1+2i00000000000000-663-32-22+4i2−4i−2−4i−2+4i-221-111−1−2i−1+2i-1-11+2i1−2i00000000000000

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