Finite Group Databasebeta

← Group #11723561

Character table — Group #11723561

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size112222222222244444444444444446688888888888888889912121212121212121218181824242424363636365454108
order1233333466666233336666661212121212886666666666661212121244424242424242424242121212121212461212882
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1111111111-1-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1
χ411111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111-11111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111111111111-1-1-1-1-11-1-111-1
χ61111111111111-11111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1-1-1-11-111-1-11
χ71111111111111-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111-11-1-1-1-11
χ81111111111111-11111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-111111-11111-1
χ92222222-22222202222002222-2-2-2-2-200000000000000-2-2-2-222000000000-22200000-200000
χ102222222-22222202222002222-2-2-2-2-200000000000000-2-2-2-2-2-20000000002-2-200000200000
χ11222222-122222-12-1-1-1-1-1-1-1-1-1-1-12222002222-1-1-1-1-1-1-1-1-1-1-1-1220000000002-1-100002-1-1-1000
χ12222222-122222-12-1-1-1-1-1-1-1-1-1-1-12222002222-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000000-2110000-2111000
χ13222222-122222-1-2-1-1-1-111-1-1-1-1-1222200-2-2-2-211111111-1-1-1-1220000000002-1-10000-2-111000
χ14222222-122222-1-2-1-1-1-111-1-1-1-1-1222200-2-2-2-211111111-1-1-1-1-2-2000000000-211000021-1-1000
χ15222222-1-22222-10-1-1-1-1−i3i3-1-1-1-11-2-2-2-2000000−i3−i3−i3−i3i3i3i3i3111122000000000-2-1-1000001−i3i3000
χ16222222-1-22222-10-1-1-1-1−i3i3-1-1-1-11-2-2-2-2000000−i3−i3−i3−i3i3i3i3i31111-2-200000000021100000-1i3−i3000
χ17222222-1-22222-10-1-1-1-1i3−i3-1-1-1-11-2-2-2-2000000i3i3i3i3−i3−i3−i3−i3111122000000000-2-1-1000001i3−i3000
χ18222222-1-22222-10-1-1-1-1i3−i3-1-1-1-11-2-2-2-2000000i3i3i3i3−i3−i3−i3−i31111-2-200000000021100000-1−i3i3000
χ19222-1-1-1222-1-1-1222-1-1-1222-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-100222-1-1-1-1-1-10002-1-1-10000000
χ20222-1-1-1222-1-1-1222-1-1-1222-1-1-122-1-1-1-2-22-1-1-12-1-1-12-1-1-12-1-1-100-2-2-2111111000-21110000000
χ21222-1-1-1222-1-1-12-22-1-1-1-2-22-1-1-122-1-1-122-2111-2111-21112-1-1-100-222-1-1-1-1-1-1000-21110000000
χ22222-1-1-1222-1-1-12-22-1-1-1-2-22-1-1-122-1-1-1-2-2-2111-2111-21112-1-1-1002-2-21111110002-1-1-10000000
χ2322-12-1-122-12-1-122-12-1-122-12-1-12-12-1-122-12-1-1-12-1-1-12-1-1-12-1-1002-1-122-1-1-1-1000-12-1-10000000
χ2422-12-1-122-12-1-122-12-1-122-12-1-12-12-1-1-2-2-12-1-1-12-1-1-12-1-1-12-1-100-211-2-211110001-2110000000
χ2522-12-1-122-12-1-12-2-12-1-1-2-2-12-1-12-12-1-1221-2111-2111-211-12-1-100-2-1-122-1-1-1-10001-2110000000
χ2622-12-1-122-12-1-12-2-12-1-1-2-2-12-1-12-12-1-1-2-21-2111-2111-211-12-1-100211-2-21111000-12-1-10000000
χ2722-1-12-122-1-12-122-1-12-122-1-12-12-1-12-122-1-12-1-1-12-1-1-12-1-1-12-1002-1-1-1-122-1-1000-1-12-10000000
χ2822-1-12-122-1-12-122-1-12-122-1-12-12-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-12-100-21111-2-21100011-210000000
χ2922-1-12-122-1-12-12-2-1-12-1-2-2-1-12-12-1-12-12211-2111-2111-21-1-12-100-2-1-1-1-122-1-100011-210000000
χ3022-1-12-122-1-12-12-2-1-12-1-2-2-1-12-12-1-12-1-2-211-2111-2111-21-1-12-10021111-2-211000-1-12-10000000
χ3122-1-1-1222-1-1-1222-1-1-1222-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12002-1-1-1-1-1-122000-1-1-120000000
χ3222-1-1-1222-1-1-1222-1-1-1222-1-1-122-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-1200-2111111-2-2000111-20000000
χ3322-1-1-1222-1-1-122-2-1-1-12-2-2-1-1-122-1-1-1222111-2111-2111-2-1-1-1200-2-1-1-1-1-1-122000111-20000000
χ3422-1-1-1222-1-1-122-2-1-1-12-2-2-1-1-122-1-1-12-2-2111-2111-2111-2-1-1-12002111111-2-2000-1-1-120000000
χ352-2222220-2-2-2-2-20222200-2-2-2-200000−i2i200000000000000002i−2i0−i2i2−i2i2−i2i2−i2i202i−2i000000002−20
χ362-2222220-2-2-2-2-20222200-2-2-2-200000−i2i20000000000000000−2i2i0−i2i2−i2i2−i2i2−i2i20−2i2i00000000−220
χ372-2222220-2-2-2-2-20222200-2-2-2-200000i2−i200000000000000002i−2i0i2−i2i2−i2i2−i2i2−i202i−2i00000000−220
χ382-2222220-2-2-2-2-20222200-2-2-2-200000i2−i20000000000000000−2i2i0i2−i2i2−i2i2−i2i2−i20−2i2i000000002−20
χ39444-2-2-24-44-2-2-2404-2-2-2004-2-2-2-4-422200000000000000-42220000000000000000000000000
χ40444-2-2-2-244-2-2-2-24-2111-2-2-2111-24-2-2-2004-2-2-2-2111-2111-21110000000000000000000000000
χ41444-2-2-2-244-2-2-2-2-4-211122-2111-24-2-2-200-42222-1-1-12-1-1-1-21110000000000000000000000000
χ42444-2-2-2-2-44-2-2-2-20-2111−2i32i3-21112-4222000000−2i3i3i3i32i3−i3−i3−i32-1-1-10000000000000000000000000
χ43444-2-2-2-2-44-2-2-2-20-21112i3−2i3-21112-42220000002i3−i3−i3−i3−2i3i3i3i32-1-1-10000000000000000000000000
χ4444-24-2-24-4-24-2-240-24-2-200-24-2-2-42-422000000000000002-4220000000000000000000000000
χ4544-24-2-2-24-24-2-2-241-211-2-21-211-2-24-2-200-24-2-21-2111-2111-2110000000000000000000000000
χ4644-24-2-2-24-24-2-2-2-41-211221-211-2-24-2-2002-422-12-1-1-12-1-11-2110000000000000000000000000
χ4744-24-2-2-2-4-24-2-2-201-211−2i32i31-21122-422000000i3−2i3i3i3−i32i3−i3−i3-12-1-10000000000000000000000000
χ4844-24-2-2-2-4-24-2-2-201-2112i3−2i31-21122-422000000−i32i3−i3−i3i3−2i3i3i3-12-1-10000000000000000000000000
χ4944-2-24-24-4-2-24-240-2-24-200-2-24-2-422-420000000000000022-420000000000000000000000000
χ5044-2-24-2-24-2-24-2-2411-21-2-211-21-2-2-24-200-2-24-211-2111-2111-210000000000000000000000000
χ5144-2-24-2-24-2-24-2-2-411-212211-21-2-2-24-20022-42-1-12-1-1-12-111-210000000000000000000000000
χ5244-2-24-2-2-4-2-24-2-2011-21−2i32i311-21222-42000000i3i3−2i3i3−i3−i32i3−i3-1-12-10000000000000000000000000
χ5344-2-24-2-2-4-2-24-2-2011-212i3−2i311-21222-42000000−i3−i32i3−i3i3i3−2i3i3-1-12-10000000000000000000000000
χ5444-2-2-244-4-2-2-2440-2-2-2400-2-2-24-4222-400000000000000222-40000000000000000000000000
χ5544-2-2-24-24-2-2-24-24111-2-2-2111-2-2-2-2-2400-2-2-24111-2111-2111-20000000000000000000000000
χ5644-2-2-24-24-2-2-24-2-4111-222111-2-2-2-2-2400222-4-1-1-12-1-1-12111-20000000000000000000000000
χ5744-2-2-24-2-4-2-2-24-20111-2−2i32i3111-22222-4000000i3i3i3−2i3−i3−i3−i32i3-1-1-120000000000000000000000000
χ5844-2-2-24-2-4-2-2-24-20111-22i3−2i3111-22222-4000000−i3−i3−i32i3i3i3i3−2i3-1-1-120000000000000000000000000
χ594-44444-20-4-4-4-420-2-2-2-2002222000000000000000000000004i−4i0000000000−2i2i00000000000
χ604-44444-20-4-4-4-420-2-2-2-200222200000000000000000000000−4i4i00000000002i−2i00000000000
χ614-44-2-2-240-4222-404-2-2-200-422200000−2i22i20000000000000000000−2i22i2i2−i2i2−i2i2−i200000000000000
χ624-44-2-2-240-4222-404-2-2-200-4222000002i2−2i200000000000000000002i2−2i2−i2i2−i2i2−i2i200000000000000
χ634-4-24-2-2402-422-40-24-2-2002-42200000−2i22i20000000000000000000i2−i2−2i22i2i2−i2i2−i200000000000000
χ644-4-24-2-2402-422-40-24-2-2002-422000002i2−2i20000000000000000000−i2i22i2−2i2−i2i2−i2i200000000000000
χ654-4-2-24-24022-42-40-2-24-20022-4200000−2i22i20000000000000000000i2−i2i2−i2−2i22i2i2−i200000000000000
χ664-4-2-24-24022-42-40-2-24-20022-42000002i2−2i20000000000000000000−i2i2−i2i22i2−2i2−i2i200000000000000
χ674-4-2-2-2440222-4-40-2-2-2400222-400000−2i22i20000000000000000000i2−i2i2−i2i2−i2−2i22i200000000000000
χ684-4-2-2-2440222-4-40-2-2-2400222-4000002i2−2i20000000000000000000−i2i2−i2i2−i2i22i2−2i200000000000000
χ698-88-4-4-4-40-844440-4222004-2-2-2000000000000000000000000000000000000000000000000
χ708-8-48-4-4-404-844402-42200-24-2-2000000000000000000000000000000000000000000000000
χ718-8-4-48-4-4044-844022-4200-2-24-2000000000000000000000000000000000000000000000000
χ728-8-4-4-48-40444-840222-400-2-2-24000000000000000000000000000000000000000000000000

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