Finite Group Databasebeta

← Group #11920742

Character table — Group #11920742

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size112222222334466666668888121212121616161616161616161624242424242424242424242436364848484872727272
order1222236662266222666636664466366666666624446612121212121244121212124444
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111-1-1111111-1-11-1-1111111-1-1i−i-1-111-1111-1-1-1-11-11-111-1-111-1-1i−iii−i−ii−ii−i
χ6111-1-1111111-1-11-1-1111111-1-1i−i-1-111-1111-1-1-1-1-11-11-1-111-1-111i−iii−i−i−ii−ii
χ7111-1-1111111-1-11-1-1111111-1-1−ii-1-111-1111-1-1-1-11-11-111-1-111-1-1−ii−i−iii−ii−ii
χ8111-1-1111111-1-11-1-1111111-1-1−ii-1-111-1111-1-1-1-1-11-11-1-111-1-111−ii−i−iiii−ii−i
χ922222222222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000
χ1022222222222222222222-1-1-1-1-2-222-1-1-1-1-1-1-1-1-1-1000000000000-2-211110000
χ1122222-1-1-1-122-1-1222-1-1-1-1222200-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000
χ1222222-1-1-1-122-1-1222-1-1-1-1222200-1-1-122-1-1-1-1-1-1-1-2-2-2-2111111110000000000
χ13222-2-2222222-2-22-2-22222-1-1112i−2i-2-2-1-11-1-1-111110000000000002i−2i−i−iii0000
χ14222-2-2222222-2-22-2-22222-1-111−2i2i-2-2-1-11-1-1-11111000000000000−2i2iii−i−i0000
χ15222-2-2-1-1-1-122112-2-2-1-1-1-122-2-20011-12-2-1-1-111112-22-2-1-111-1-1110000000000
χ16222-2-2-1-1-1-122112-2-2-1-1-1-122-2-20011-12-2-1-1-11111-22-2211-1-111-1-10000000000
χ1722-22-22-2-22222-2-22-2-2-2222222002-22-2-22-2-222-2-20000000000000000000000
χ1822-22-22-2-22222-2-22-2-2-222-1-1-1-1002-2-111-111-1-11100000000000000−i3i3−i3i30000
χ1922-22-22-2-22222-2-22-2-2-222-1-1-1-1002-2-111-111-1-11100000000000000i3−i3i3−i30000
χ2022-22-2-111-122-11-22-211-1-1222200-11-1-2-2-111-1-1110000−i3i3−i3i3−i3i3−i3i30000000000
χ2122-22-2-111-122-11-22-211-1-1222200-11-1-2-2-111-1-1110000i3−i3i3−i3i3−i3i3−i30000000000
χ2222-2-222-2-2222-22-2-22-2-22222-2-200-222-222-2-2-2-2220000000000000000000000
χ2322-2-222-2-2222-22-2-22-2-222-1-11100-22-11-1-11111-1-1000000000000003−3−330000
χ2422-2-222-2-2222-22-2-22-2-222-1-11100-22-11-1-11111-1-100000000000000−333−30000
χ2522-2-22-111-1221-1-2-2211-1-122-2-2001-1-1-22-11111-1-10000−i3i3i3−i3−i3i3i3−i30000000000
χ2622-2-22-111-1221-1-2-2211-1-122-2-2001-1-1-22-11111-1-10000i3−i3−i3i3i3−i3−i3i30000000000
χ27333333333-1-133-1-1-1-1-1-1-1000033-1-1000000000011-1-11111-1-1-1-1-1-1000011-1-1
χ28333333333-1-133-1-1-1-1-1-1-1000033-1-10000000000-1-111-1-1-1-11111-1-10000-1-111
χ29333333333-1-133-1-1-1-1-1-1-10000-3-3-1-1000000000011-1-11111-1-1-1-1110000-1-111
χ30333333333-1-133-1-1-1-1-1-1-10000-3-3-1-10000000000-1-111-1-1-1-1111111000011-1-1
χ31333-3-33333-1-1-3-3-111-1-1-1-100003i−3i1100000000001-1-1111-1-1-1-111−ii0000i−i−ii
χ32333-3-33333-1-1-3-3-111-1-1-1-100003i−3i110000000000-111-1-1-11111-1-1−ii0000−iii−i
χ33333-3-33333-1-1-3-3-111-1-1-1-10000−3i3i1100000000001-1-1111-1-1-1-111i−i0000−iii−i
χ34333-3-33333-1-1-3-3-111-1-1-1-10000−3i3i110000000000-111-1-1-11111-1-1i−i0000i−i−ii
χ3544444-2-2-2-244-2-2444-2-2-2-2-2-2-2-200-2-21-2-211111110000000000000000000000
χ36444-4-4-2-2-2-244224-4-4-2-2-2-2-2-22200221-22111-1-1-1-10000000000000000000000
χ3744-44-4-222-244-22-44-422-2-2-2-2-2-200-221221-1-111-1-10000000000000000000000
χ3844-4-44-222-2442-2-4-4422-2-2-2-222002-212-21-1-1-1-1110000000000000000000000
χ394-4000400-44-400000004-44-4000000400-40000000000000000000000000000
χ404-4000400-44-400000004-4-22−2i32i30000-200200−2i32i3000000000000000000000000
χ414-4000400-44-400000004-4-222i3−2i30000-2002002i3−2i3000000000000000000000000
χ424-4000-2−2i32i324-400000−2i32i3-224-4000000-2002−2i32i300000000000000000000000000
χ434-4000-2−2i32i324-400000−2i32i3-22-22−2i32i30000100-1i3−i3i3−i33-30000000000000000000000
χ444-4000-2−2i32i324-400000−2i32i3-22-222i3−2i30000100-1i3−i3−i3i3-330000000000000000000000
χ454-4000-22i3−2i324-4000002i3−2i3-224-4000000-20022i3−2i300000000000000000000000000
χ464-4000-22i3−2i324-4000002i3−2i3-22-22−2i32i30000100-1−i3i3i3−i3-330000000000000000000000
χ474-4000-22i3−2i324-4000002i3−2i3-22-222i3−2i30000100-1−i3i3−i3i33-30000000000000000000000
χ4866666-3-3-3-3-2-2-3-3-2-2-2111100000011000000000022-2-2-1-1-1-111110000000000
χ4966666-3-3-3-3-2-2-3-3-2-2-21111000000110000000000-2-2221111-1-1-1-10000000000
χ50666-6-6-3-3-3-3-2-233-2221111000000-1-100000000002-2-22-1-11111-1-10000000000
χ51666-6-6-3-3-3-3-2-233-2221111000000-1-10000000000-222-211-1-1-1-1110000000000
χ5266-66-66-6-66-2-26-62-2222-2-2000000-2200000000000000000000000000000000
χ5366-66-6-333-3-2-2-332-22-1-1110000001-100000000000000−i3i3−i3i3i3−i3i3−i30000000000
χ5466-66-6-333-3-2-2-332-22-1-1110000001-100000000000000i3−i3i3−i3−i3i3−i3i30000000000
χ5566-6-666-6-66-2-2-6622-222-2-20000002-200000000000000000000000000000000
χ5666-6-66-333-3-2-23-322-2-1-111000000-1100000000000000−i3i3i3−i3i3−i3−i3i30000000000
χ5766-6-66-333-3-2-23-322-2-1-111000000-1100000000000000i3−i3−i3i3−i3i3i3−i30000000000
χ5812-120001200-12-440000000-440000000000000000000000000000000000000000
χ5912-12000-6−6i36i36-44000002i3−2i32-20000000000000000000000000000000000000000
χ6012-12000-66i3−6i36-4400000−2i32i32-20000000000000000000000000000000000000000

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