Finite Group Databasebeta

← Group #10592447

Character table — Group #10592447

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1122222222222444444444444448888888888888888888888888818183636367272
order122333344666666668812121212121212122666666668242424242424242424242424242424248824848
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1
χ611111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11
χ711111111111111111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-11-11
χ811111111111111111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-11-1
χ92222222-2-2222222222i−2i-2-2-2-2-2-2-2-200000000002i2i2i2i−2i−2i−2i−2i000000000000000
χ102222222-2-222222222−2i2i-2-2-2-2-2-2-2-20000000000−2i−2i−2i−2i2i2i2i2i000000000000000
χ112222-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-10000000
χ122222-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-2-2-2111111-22-1-1-12-1-1-1-2-21111110000000
χ132222-1-1-1222-1-1-12-1-1-1-2-222-1-1-1-1-1-1222-1-1-1-1-1-1-2-2111-2111-2-21111110000000
χ142222-1-1-1222-1-1-12-1-1-1-2-222-1-1-1-1-1-1-2-2-21111112-2111-211122-1-1-1-1-1-10000000
χ152222-1-1-1-2-22-1-1-12-1-1-12i−2i-2-2111111000−i3−i3−i3i3i3i302i−i−i−i−2iiii00333−3−3−30000000
χ162222-1-1-1-2-22-1-1-12-1-1-12i−2i-2-2111111000i3i3i3−i3−i3−i302i−i−i−i−2iiii00−3−3−33330000000
χ172222-1-1-1-2-22-1-1-12-1-1-1−2i2i-2-2111111000−i3−i3−i3i3i3i30−2iiii2i−i−i−i00−3−3−33330000000
χ182222-1-1-1-2-22-1-1-12-1-1-1−2i2i-2-2111111000i3i3i3−i3−i3−i30−2iiii2i−i−i−i00333−3−3−30000000
χ19222-12-1-122-12-1-1-12-1-122-1-122-1-1-1-12-1-12-1-12-1-12-12-1-1-12-1-1-1-12-1-12-1-10000000
χ20222-12-1-122-12-1-1-12-1-122-1-122-1-1-1-1-211-211-211-2-12-1-1-12-1-111-211-2110000000
χ21222-12-1-122-12-1-1-12-1-1-2-2-1-122-1-1-1-12-1-12-1-12-1-1-21-2111-21111-211-2110000000
χ22222-12-1-122-12-1-1-12-1-1-2-2-1-122-1-1-1-1-211-211-21121-2111-211-1-12-1-12-1-10000000
χ23222-12-1-1-2-2-12-1-1-12-1-12i−2i11-2-211110−i3i30−i3i30−i3i30−i2i−i−ii−2iii3−303−303−30000000
χ24222-12-1-1-2-2-12-1-1-12-1-12i−2i11-2-211110i3−i30i3−i30i3−i30−i2i−i−ii−2iii−330−330−330000000
χ25222-12-1-1-2-2-12-1-1-12-1-1−2i2i11-2-211110−i3i30−i3i30−i3i30i−2iii−i2i−i−i−330−330−330000000
χ26222-12-1-1-2-2-12-1-1-12-1-1−2i2i11-2-211110i3−i30i3−i30i3−i30i−2iii−i2i−i−i3−303−303−30000000
χ27222-1-12-122-1-12-1-1-12-122-1-1-1-122-1-12-1-1-12-1-1-122-1-12-1-1-12-1-1-1-12-1-1-120000000
χ28222-1-12-122-1-12-1-1-12-122-1-1-1-122-1-1-2111-2111-2-2-1-12-1-1-12-1111-2111-20000000
χ29222-1-12-122-1-12-1-1-12-1-2-2-1-1-1-122-1-12-1-1-12-1-1-12-211-2111-21111-2111-20000000
χ30222-1-12-122-1-12-1-1-12-1-2-2-1-1-1-122-1-1-2111-2111-2211-2111-21-1-1-12-1-1-120000000
χ31222-1-12-1-2-2-1-12-1-1-12-12i−2i1111-2-2110−i3i3i30−i3−i3i300−i−i2i−iii−2ii3−3−3033−300000000
χ32222-1-12-1-2-2-1-12-1-1-12-12i−2i1111-2-2110i3−i3−i30i3i3−i300−i−i2i−iii−2ii−3330−3−3300000000
χ33222-1-12-1-2-2-1-12-1-1-12-1−2i2i1111-2-2110−i3i3i30−i3−i3i300ii−2ii−i−i2i−i−3330−3−3300000000
χ34222-1-12-1-2-2-1-12-1-1-12-1−2i2i1111-2-2110i3−i3−i30i3i3−i300ii−2ii−i−i2i−i3−3−3033−300000000
χ35222-1-1-1222-1-1-12-1-1-1222-1-1-1-1-1-1222-1-1-1-12-12-12-1-1-12-1-1-12-1-1-1-12-12-10000000
χ36222-1-1-1222-1-1-12-1-1-1222-1-1-1-1-1-122-21111-21-21-2-1-1-12-1-1-121111-21-210000000
χ37222-1-1-1222-1-1-12-1-1-12-2-2-1-1-1-1-1-1222-1-1-1-12-12-1-2111-2111-21111-21-210000000
χ38222-1-1-1222-1-1-12-1-1-12-2-2-1-1-1-1-1-122-21111-21-212111-2111-2-1-1-1-12-12-10000000
χ39222-1-1-12-2-2-1-1-12-1-1-122i−2i111111-2-20−i3i3−i3i30i30−i30−i−i−i2iiii−2i3−33−30−3030000000
χ40222-1-1-12-2-2-1-1-12-1-1-122i−2i111111-2-20i3−i3i3−i30−i30i30−i−i−i2iiii−2i−33−33030−30000000
χ41222-1-1-12-2-2-1-1-12-1-1-12−2i2i111111-2-20−i3i3−i3i30i30−i30iii−2i−i−i−i2i−33−33030−30000000
χ42222-1-1-12-2-2-1-1-12-1-1-12−2i2i111111-2-20i3−i3i3−i30−i30i30iii−2i−i−i−i2i3−33−30−3030000000
χ4322-222222-22222-2-2-2-2002-22-22-22-2000000000000000000000000002200-200
χ4422-222222-22222-2-2-2-2002-22-22-22-200000000000000000000000000-2-200200
χ4522-22222-222222-2-2-2-200-22-22-22-2200000000000000000000000000002-2000
χ4622-22222-222222-2-2-2-200-22-22-22-220000000000000000000000000000-22000
χ4744-44-2-2-24-44-2-2-2-4222004-4-22-22-22000000000000000000000000000000000
χ4844-44-2-2-2-444-2-2-2-422200-442-22-22-2000000000000000000000000000000000
χ4944-4-24-2-24-4-24-2-22-42200-224-4-22-22000000000000000000000000000000000
χ5044-4-24-2-2-44-24-2-22-422002-2-442-22-2000000000000000000000000000000000
χ5144-4-2-24-24-4-2-24-222-4200-22-224-4-22000000000000000000000000000000000
χ5244-4-2-24-2-44-2-24-222-42002-22-2-442-2000000000000000000000000000000000
χ5344-4-2-2-244-4-2-2-24222-400-22-22-224-4000000000000000000000000000000000
χ5444-4-2-2-24-44-2-2-24222-4002-22-22-2-44000000000000000000000000000000000
χ554-40444400-4-4-4-40000000000000000000000000000000000000000−2i22i200000
χ564-40444400-4-4-4-400000000000000000000000000000000000000002i2−2i200000
χ578-808-4-4-400-844400000000000000000000000000000000000000000000000
χ588-80-48-4-4004-84400000000000000000000000000000000000000000000000
χ598-80-4-48-40044-8400000000000000000000000000000000000000000000000
χ608-80-4-4-4800444-800000000000000000000000000000000000000000000000

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