Finite Group Databasebeta

← Group #10592899

Character table — Group #10592899

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1122222222222444444444444448888888888888888888888888818183636367272
order12233334466662466661212121212121212266666666666681212121224242424242424248888848
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1
χ3111111111111111111111111111-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1
χ4111111111111111111111111111-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111-1-11111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1
χ61111111111111-1-11111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11
χ71111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-11
χ81111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1111-1
χ92222222-2-22222002222-2-2-2-2-2-2-2-2000000000000000000000000000002i−2i00
χ102222222-2-22222002222-2-2-2-2-2-2-2-200000000000000000000000000000−2i2i00
χ112222-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-10000000
χ122222-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-1-22-1-1-1-2-2111111-22-1-1-1-2-21111110000000
χ132222-1-1-1222-1-1-1-2-22-1-1-12-1-1-12-1-1-12-211122-1-1-1-1-1-1-2-2111-2-21111110000000
χ142222-1-1-1222-1-1-1-2-22-1-1-12-1-1-12-1-1-1-2-2111-2-21111112-211122-1-1-1-1-1-10000000
χ15222-12-1-122-12-1-122-12-1-1-12-1-1-12-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-10000000
χ16222-12-1-122-12-1-122-12-1-1-12-1-1-12-1-1-2-12-1-111-2-21111-2-12-1-111-2-211110000000
χ17222-12-1-122-12-1-1-2-2-12-1-1-12-1-1-12-1-121-211-1-122-1-1-1-1-21-21111-2-211110000000
χ18222-12-1-122-12-1-1-2-2-12-1-1-12-1-1-12-1-1-21-21111-2-2111121-211-1-122-1-1-1-10000000
χ19222-1-12-122-1-12-122-1-12-1-1-12-1-1-12-12-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-10000000
χ20222-1-12-122-1-12-122-1-12-1-1-12-1-1-12-1-2-1-12-11111-2-211-2-1-12-11111-2-2110000000
χ21222-1-12-122-1-12-1-2-2-1-12-1-1-12-1-1-12-1211-21-1-1-1-122-1-1-211-211111-2-2110000000
χ22222-1-12-122-1-12-1-2-2-1-12-1-1-12-1-1-12-1-211-211111-2-211211-21-1-1-1-122-1-10000000
χ23222-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-1220000000
χ24222-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-12-2-1-1-12111111-2-2-2-1-1-12111111-2-20000000
χ25222-1-1-1222-1-1-12-2-2-1-1-12-1-1-12-1-1-122111-2-1-1-1-1-1-122-2111-2111111-2-20000000
χ26222-1-1-1222-1-1-12-2-2-1-1-12-1-1-12-1-1-12-2111-2111111-2-22111-2-1-1-1-1-1-1220000000
χ2722-222222-222222-2-2-2-2-2-2-2-2-2222202222000000000-2-2-2-2000000000000000
χ2822-222222-22222-22-2-2-2-2-2-2-2-222220-2-2-2-20000000002222000000000000000
χ2922-22222-22222200-2-2-2-22222-2-2-2-20000000000000000000000000022-20000
χ3022-22222-22222200-2-2-2-22222-2-2-2-200000000000000000000000000-2-220000
χ3122-22-1-1-12-22-1-1-12-2-2111-21112-1-1-102-1-1-100−i3i3−i3i3−i3i30-211100−i3i3−i3i3−i3i30000000
χ3222-22-1-1-12-22-1-1-12-2-2111-21112-1-1-102-1-1-100i3−i3i3−i3i3−i30-211100i3−i3i3−i3i3−i30000000
χ3322-22-1-1-12-22-1-1-1-22-2111-21112-1-1-10-211100−i3i3−i3i3−i3i302-1-1-100i3−i3i3−i3i3−i30000000
χ3422-22-1-1-12-22-1-1-1-22-2111-21112-1-1-10-211100i3−i3i3−i3i3−i302-1-1-100−i3i3−i3i3−i3i30000000
χ3522-2-12-1-12-2-12-1-12-21-2111-211-12-1-10-12-1-1−i3i300−i3i3i3−i301-211−i3i300−i3i3i3−i30000000
χ3622-2-12-1-12-2-12-1-12-21-2111-211-12-1-10-12-1-1i3−i300i3−i3−i3i301-211i3−i300i3−i3−i3i30000000
χ3722-2-12-1-12-2-12-1-1-221-2111-211-12-1-101-211−i3i300−i3i3i3−i30-12-1-1i3−i300i3−i3−i3i30000000
χ3822-2-12-1-12-2-12-1-1-221-2111-211-12-1-101-211i3−i300i3−i3−i3i30-12-1-1−i3i300−i3i3i3−i30000000
χ3922-2-1-12-12-2-1-12-12-211-2111-21-1-12-10-1-12-1−i3i3i3−i300−i3i3011-21−i3i3i3−i300−i3i30000000
χ4022-2-1-12-12-2-1-12-12-211-2111-21-1-12-10-1-12-1i3−i3−i3i300i3−i3011-21i3−i3−i3i300i3−i30000000
χ4122-2-1-12-12-2-1-12-1-2211-2111-21-1-12-1011-21−i3i3i3−i300−i3i30-1-12-1i3−i3−i3i300i3−i30000000
χ4222-2-1-12-12-2-1-12-1-2211-2111-21-1-12-1011-21i3−i3−i3i300i3−i30-1-12-1−i3i3i3−i300−i3i30000000
χ4322-2-1-1-122-2-1-1-122-2111-2111-2-1-1-120-1-1-12−i3i3−i3i3i3−i3000111-2−i3i3−i3i3i3−i3000000000
χ4422-2-1-1-122-2-1-1-122-2111-2111-2-1-1-120-1-1-12i3−i3i3−i3−i3i3000111-2i3−i3i3−i3−i3i3000000000
χ4522-2-1-1-122-2-1-1-12-22111-2111-2-1-1-120111-2−i3i3−i3i3i3−i3000-1-1-12i3−i3i3−i3−i3i3000000000
χ4622-2-1-1-122-2-1-1-12-22111-2111-2-1-1-120111-2i3−i3i3−i3−i3i3000-1-1-12−i3i3−i3i3i3−i3000000000
χ474444-2-2-2-4-44-2-2-2004-2-2-2-4222-4222000000000000000000000000000000000
χ48444-24-2-2-4-4-24-2-200-24-2-22-4222-422000000000000000000000000000000000
χ49444-2-24-2-4-4-2-24-200-2-24-222-4222-42000000000000000000000000000000000
χ50444-2-2-24-4-4-2-2-2400-2-2-24222-4222-4000000000000000000000000000000000
χ5144-44-2-2-2-444-2-2-200-42224-2-2-2-4222000000000000000000000000000000000
χ5244-4-24-2-2-44-24-2-2002-422-24-2-22-422000000000000000000000000000000000
χ5344-4-2-24-2-44-2-24-20022-42-2-24-222-42000000000000000000000000000000000
χ5444-4-2-2-24-44-2-2-2400222-4-2-2-24222-4000000000000000000000000000000000
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).