Finite Group Databasebeta

← Group #72341785

Character table — Group #72341785

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size11111111446666888812121212121212121212121212121616242424242424242424242424242432323232323232324848484848484848484848484848484848484848484864646464646464646464646496969696
order1222444424224422442222222444444444222224444444443666121212122444444444444488888888666612121212121212124444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ311111111111111-1-1-1-111111111111111-1-1111-1-1111-1-11111111111111-1-11-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ411111111111111-1-1-1-111111111111111-1-11-1-1111-1-111-1-1-1-111111111-111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111
χ511111111-1-11111111111-1-1-111111-1-1-11-1-1-11111-11111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ611111111-1-11111111111-1-1-111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-111
χ711111111-1-11111-1-1-1-111-1-1-111111-1-1-1111-111-1-1-111-1-1111111111111-111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ811111111-1-11111-1-1-1-111-1-1-111111-1-1-1111-1-1-111-1-1-111-1-1-1-1111111111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ91111-1-1-1-11-111-1-111-1-1-1-11-1-1111-1-111-111-111111-1-1-1-1-111-1-11111-1-1-1-1-11-111-11-11-11-11-111-1-111-1-1111111-1-1-1-1-1-11-11-1
χ101111-1-1-1-11-111-1-111-1-1-1-11-1-1111-1-111-111-11-1-1-1-1-11111-1-1111111-1-1-1-11-11-11-1-111-1-11-11-1-111-1-111111111-1-1-1-1-1-1-11-11
χ111111-1-1-1-11-111-1-1-1-111-1-11-1-1111-1-111-11-11111-1-1-1-1-11111-1-11111-1-1-1-1-1-111-11-11-111-1-1111-1-111-1-111-1-1-1-111-1-111-11-11
χ121111-1-1-1-11-111-1-1-1-111-1-11-1-1111-1-111-11-111-1-111-111-1-1-1-1111111-1-1-1-111-1-1-111-1-11-111-1-1-111-1-11111-1-1-1-111-1-1111-11-1
χ131111-1-1-1-1-1111-1-111-1-1-1-1-111111-1-1-1-111-11-111111-1-1-1-111-1-11111-1-1-1-11-11-1-11-111-1-111-111-1-1-1-111-1-111-1-11111-1-11-1-11
χ141111-1-1-1-1-1111-1-111-1-1-1-1-111111-1-1-1-111-11-1-1-1-1-111111-1-1111111-1-1-1-1-11-11-111-11-11-1-11-1-11111-1-1-1-111-1-11111-1-1-111-1
χ151111-1-1-1-1-1111-1-1-1-111-1-1-111111-1-1-1-1111-1-111-1-11-1-11111-1-11111-1-1-1-111-1-11-11-1-11-11-1111-1-1-1-111-1-1-1-111-1-11111-111-1
χ161111-1-1-1-1-1111-1-1-1-111-1-1-111111-1-1-1-1111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1111-1-11-111-11-1-1-11111-1-1-1-1-1-111-1-111111-1-11
χ17222222222222222222222222222222222220000200000000-1-1-1-1-1-1-1-10000220022000000000000-1-1-1-1-1-1-1-1-1-1-1-10000
χ1822222222222222-2-2-2-222222222222222-2-220000200000000-1-1-1-1-1-1-1-10000-2-200-2-2000000000000-1-1111111-1-1110000
χ1922222222-2-22222222222-2-2-222222-2-2-22-2-2-20000-200000000-1-1-1-1-1-1-1-10000-2-2002200000000000011-1-1111111-1-10000
χ2022222222-2-22222-2-2-2-222-2-2-222222-2-2-2222-20000-200000000-1-1-1-1-1-1-1-100002200-2-20000000000001111-1-1-1-111110000
χ212222-2-2-2-22-222-2-222-2-2-2-22-2-2222-2-222-222-220000-200000000-1-1-1-1111100002-2002-2000000000000-1-1-1-1-1-11111110000
χ222222-2-2-2-22-222-2-2-2-222-2-22-2-2222-2-222-22-2220000-200000000-1-1-1-111110000-2200-22000000000000-1-11111-1-111-1-10000
χ232222-2-2-2-2-2222-2-222-2-2-2-2-222222-2-2-2-222-22-20000200000000-1-1-1-111110000-22002-200000000000011-1-111-1-1-1-1110000
χ242222-2-2-2-2-2222-2-2-2-222-2-2-222222-2-2-2-2222-2-20000200000000-1-1-1-1111100002-200-220000000000001111-1-111-1-1-1-10000
χ252-2-2222-2-200-222-200002-20002-2-22-200020002-20002-2002-22-22-2-2222-2-2000000000000002-22-200000000000000000000
χ262-2-2222-2-200-222-200002-20002-2-22-20002000-22000-2200-22-222-2-2222-2-200000000000000-22-2200000000000000000000
χ272-2-22-2-22200-22-220000-220002-2-2-2200020002-2000-22002-2-222-2-22-2-222000000000000002-2-2200000000000000000000
χ282-2-22-2-22200-22-220000-220002-2-2-220002000-220002-200-222-22-2-22-2-22200000000000000-222-200000000000000000000
χ29333333333333333333-1-13-1-1-1-1-1-1-1-1-13-133-11111-111111111000000001111-1-111-1-11111-1-1-1-1-1-1-1-1000000000000-1-1-1-1
χ30333333333333333333-1-13-1-1-1-1-1-1-1-1-13-133-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000001111
χ3133333333333333-3-3-3-3-1-13-1-1-1-1-1-1-1-1-13-1-3-3-111-1-1-111-1-11111000000001-1-1111-1-11111-1-1-1-1-1-1-1-1-1-10000000000001111
χ3233333333333333-3-3-3-3-1-13-1-1-1-1-1-1-1-1-13-1-3-3-1-1-111-1-1-111-1-1-1-100000000-111-1111111-1-11111111111000000000000-1-1-1-1
χ3333333333-3-333333333-1-1-311-1-1-1-1-111-3-1-3-31111111111111100000000-1-1-1-111-1-1-1-1-1-111-1-1-1-11111000000000000-1-111
χ3433333333-3-333333333-1-1-311-1-1-1-1-111-3-1-3-31-1-1-1-11-1-1-1-1-1-1-1-10000000011111111-1-111-1-11111-1-1-1-100000000000011-1-1
χ3533333333-3-33333-3-3-3-3-1-1-311-1-1-1-1-111-3-133111-1-1111-1-1111100000000-111-1-1-11111-1-1-1-1-1-1-1-1111100000000000011-1-1
χ3633333333-3-33333-3-3-3-3-1-1-311-1-1-1-1-111-3-1331-1-1111-1-111-1-1-1-1000000001-1-11-1-1-1-11111111111-1-1-1-1000000000000-1-111
χ373333-3-3-3-33-333-3-333-3-311311-1-1-111-1-1-3-13-3-111111-1-1-1-111-1-100000000-11-11-111-1-111-11-1-1-111-1-111000000000000-11-11
χ383333-3-3-3-33-333-3-333-3-311311-1-1-111-1-1-3-13-3-1-1-1-1-111111-1-111000000001-11-1-11-11-11-11-1111-1-111-1-10000000000001-11-1
χ393333-3-3-3-33-333-3-3-3-33311311-1-1-111-1-1-3-1-33-111-1-11-1-11111-1-100000000-1-1111-1-111-11-1-11-1-111-1-1110000000000001-11-1
χ403333-3-3-3-33-333-3-3-3-33311311-1-1-111-1-1-3-1-33-1-1-111111-1-1-1-1110000000011-1-11-11-11-1-111-111-1-111-1-1000000000000-11-11
χ413333-3-3-3-3-3333-3-333-3-311-3-1-1-1-1-111113-1-3311111-1-1-1-1-111-1-1000000001-11-11-1-11-11-111-1-1-11111-1-1000000000000-111-1
χ423333-3-3-3-3-3333-3-333-3-311-3-1-1-1-1-111113-1-331-1-1-1-1-11111-1-11100000000-11-111-11-1-111-1-1111-1-1-1-1110000000000001-1-11
χ433333-3-3-3-3-3333-3-3-3-33311-3-1-1-1-1-111113-13-3111-1-1-1-1-11111-1-10000000011-1-1-111-11-1-11-11-1-11111-1-10000000000001-1-11
χ443333-3-3-3-3-3333-3-3-3-33311-3-1-1-1-1-111113-13-31-1-111-111-1-1-1-11100000000-1-111-11-111-11-11-111-1-1-1-111000000000000-111-1
χ454-4-4444-4-400-444-400004-40004-4-44-400040000000000000000-222-2-2-22200000000000000000000000000000000000000
χ464-4-44-4-44400-44-440000-440004-4-4-4400040000000000000000-222-222-2-200000000000000000000000000000000000000
χ476666666666-2-2-2-2000022-222-2-22-2-222-2200-22200-22200-2-2-2-2000000002002000000-2-200000000000000000000000000
χ486666666666-2-2-2-2000022-222-2-22-2-222-2200-2-2-200-2-2-200222200000000-200-20000002200000000000000000000000000
χ496666666666-2-2-2-20000-2-2-2-2-222-222-2-2-2-2002002220022000000000000022000-2-20000-2-2000000000000000000000000
χ506666666666-2-2-2-20000-2-2-2-2-222-222-2-2-2-200200-2-2200-2-20000000000000-2-200022000022000000000000000000000000
χ5166666666-6-6-2-2-2-20000222-2-2-2-22-2-2-2-222002220022200-2-2-2-200000000-200-20000002200000000000000000000000000
χ5266666666-6-6-2-2-2-20000222-2-2-2-22-2-2-2-222002-2-2002-2-2002222000000002002000000-2-200000000000000000000000000
χ5366666666-6-6-2-2-2-20000-2-222222-222222-200-20022-200220000000000000-2-2000220000-2-2000000000000000000000000
χ5466666666-6-6-2-2-2-20000-2-222222-222222-200-200-2-2-200-2-2000000000000022000-2-2000022000000000000000000000000
χ556666-6-6-6-66-6-2-222000022-22222-2-2-2-2-22-20020022-200-2-200000000000002-2000-220000-22000000000000000000000000
χ566666-6-6-6-66-6-2-222000022-22222-2-2-2-2-22-200200-2-2-200220000000000000-220002-200002-2000000000000000000000000
χ576666-6-6-6-66-6-2-2220000-2-2-2-2-2-2-2222222200-222002-2-200-2-22200000000-2002000000-2200000000000000000000000000
χ586666-6-6-6-66-6-2-2220000-2-2-2-2-2-2-2222222200-2-2-2002220022-2-200000000200-20000002-200000000000000000000000000
χ596666-6-6-6-6-66-2-2220000222-2-222-2-2-222-2-200-20022200-2-20000000000000-220002-20000-22000000000000000000000000
χ606666-6-6-6-6-66-2-2220000222-2-222-2-2-222-2-200-200-2-22002200000000000002-2000-2200002-2000000000000000000000000
χ616666-6-6-6-6-66-2-2220000-2-2222-2-2222-2-2-220022200-2-2-200-2-22200000000200-20000002-200000000000000000000000000
χ626666-6-6-6-6-66-2-2220000-2-2222-2-2222-2-2-22002-2-200-2220022-2-200000000-2002000000-2200000000000000000000000000
χ636-6-6666-6-6002-2-2200002-204-4-22-2-224-4020002-20002-200-22-22000000000000000000000000002-22-20000000000000000
χ646-6-6666-6-6002-2-2200002-204-4-22-2-224-402000-22000-22002-22-200000000000000000000000000-22-220000000000000000
χ656-6-6666-6-6002-2-2200002-20-44-22-2-22-44020002-20002-200-22-2200000000000000000000000000-22-220000000000000000
χ666-6-6666-6-6002-2-2200002-20-44-22-2-22-4402000-22000-22002-22-2000000000000000000000000002-22-20000000000000000
χ676-6-6666-6-600-666-60000-22000-222-22000-20002-20002-2002-22-20000000000000000000000-22-2200000000000000000000
χ686-6-6666-6-600-666-60000-22000-222-22000-2000-22000-2200-22-2200000000000000000000002-22-200000000000000000000
χ696-6-66-6-666002-22-20000-2204-4-22-22-2-44020002-2000-2200-222-200000000000000000000000000-222-20000000000000000
χ706-6-66-6-666002-22-20000-2204-4-22-22-2-4402000-220002-2002-2-22000000000000000000000000002-2-220000000000000000
χ716-6-66-6-666002-22-20000-220-44-22-22-24-4020002-2000-2200-222-2000000000000000000000000002-2-220000000000000000
χ726-6-66-6-666002-22-20000-220-44-22-22-24-402000-220002-2002-2-2200000000000000000000000000-222-20000000000000000
χ736-6-66-6-66600-66-6600002-2000-2222-2000-20002-2000-22002-2-220000000000000000000000-222-200000000000000000000
χ746-6-66-6-66600-66-6600002-2000-2222-2000-2000-220002-200-222-200000000000000000000002-2-2200000000000000000000
χ7588-8-88i−8i8i−8i000000000000000000000000000004-40004i−4i000022-2-22i−2i2i−2i00000000000000000000000000000000000000
χ7688-8-88i−8i8i−8i00000000000000000000000000000-44000−4i4i000022-2-22i−2i2i−2i00000000000000000000000000000000000000
χ7788-8-8−8i8i−8i8i000000000000000000000000000004-4000−4i4i000022-2-2−2i2i−2i2i00000000000000000000000000000000000000
χ7888-8-8−8i8i−8i8i00000000000000000000000000000-440004i−4i000022-2-2−2i2i−2i2i00000000000000000000000000000000000000
χ798-88-88i−8i−8i8i0000004-44i−4i0000000000000000000000000000002-22-22i−2i−2i2i0000000000000000000000002-20000002i−2i0000
χ808-88-88i−8i−8i8i0000004-44i−4i000000000000000000000000000000-11-11−iii−i0000000000000000000000−i3i3-11−i3i33−33−3−ii0000
χ818-88-88i−8i−8i8i0000004-44i−4i000000000000000000000000000000-11-11−iii−i0000000000000000000000i3−i3-11i3−i3−33−33−ii0000
χ828-88-88i−8i−8i8i000000-44−4i4i0000000000000000000000000000002-22-22i−2i−2i2i000000000000000000000000-22000000−2i2i0000
χ838-88-88i−8i−8i8i000000-44−4i4i000000000000000000000000000000-11-11−iii−i0000000000000000000000−i3i31-1i3−i3−333−3i−i0000
χ848-88-88i−8i−8i8i000000-44−4i4i000000000000000000000000000000-11-11−iii−i0000000000000000000000i3−i31-1−i3i33−3−33i−i0000
χ858-88-8−8i8i8i−8i0000004-4−4i4i0000000000000000000000000000002-22-2−2i2i2i−2i0000000000000000000000002-2000000−2i2i0000
χ868-88-8−8i8i8i−8i0000004-4−4i4i000000000000000000000000000000-11-11i−i−ii0000000000000000000000−i3i3-11−i3i3−33−33i−i0000
χ878-88-8−8i8i8i−8i0000004-4−4i4i000000000000000000000000000000-11-11i−i−ii0000000000000000000000i3−i3-11i3−i33−33−3i−i0000
χ888-88-8−8i8i8i−8i000000-444i−4i0000000000000000000000000000002-22-2−2i2i2i−2i000000000000000000000000-220000002i−2i0000
χ898-88-8−8i8i8i−8i000000-444i−4i000000000000000000000000000000-11-11i−i−ii0000000000000000000000−i3i31-1i3−i33−3−33−ii0000
χ908-88-8−8i8i8i−8i000000-444i−4i000000000000000000000000000000-11-11i−i−ii0000000000000000000000i3−i31-1−i3i3−333−3−ii0000
χ9112-12-12121212-12-12004-4-440000-440004-444-4000-400000000000000000000000000000000000000000000000000000000000000
χ9212-12-1212-12-121212004-44-400004-40004-44-44000-400000000000000000000000000000000000000000000000000000000000000
χ931616-16-1616i−16i16i−16i0000000000000000000000000000000000000000-2-222−2i2i−2i2i00000000000000000000000000000000000000
χ941616-16-16−16i16i−16i16i0000000000000000000000000000000000000000-2-2222i−2i2i−2i00000000000000000000000000000000000000

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