Finite Group Databasebeta

← Group #11723585

Character table — Group #11723585

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size112222222222244444444444444446688888888888888889912121212121212121218181824242424363636365454108
order1233333466666333346666121212121212128812121212121212121212121212121212444242424242424242421212121212122666882
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
χ511111111111111111-111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-111111111111-1-1-1-1-11-1-111-1
χ611111111111111111-111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-111-1-11
χ711111111111111111-111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111-11-1-1-1-11
χ811111111111111111-111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111111-11111-1
χ92222222-222222222202222-200-2-2-2-2000000-2-2-2-20000000022000000000-22200000-200000
χ102222222-222222222202222-200-2-2-2-2000000-2-2-2-200000000-2-20000000002-2-200000200000
χ11222222-122222-1-1-1-1-12-1-1-1-1-1-1-12222002222-1-1-1-1-1-1-1-1-1-1-1-1220000000002-1-100002-1-1-1000
χ12222222-122222-1-1-1-1-12-1-1-1-1-1-1-12222002222-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000000-2110000-2111000
χ13222222-122222-1-1-1-1-1-2-1-1-1-1-111222200-2-2-2-2-1-1-1-111111111220000000002-1-10000-2-111000
χ14222222-122222-1-1-1-1-1-2-1-1-1-1-111222200-2-2-2-2-1-1-1-111111111-2-2000000000-211000021-1-1000
χ15222222-1-22222-1-1-1-1-10-1-1-1-11−i3i3-2-2-2-20000001111−i3−i3−i3−i3i3i3i3i322000000000-2-1-1000001−i3i3000
χ16222222-1-22222-1-1-1-1-10-1-1-1-11−i3i3-2-2-2-20000001111−i3−i3−i3−i3i3i3i3i3-2-200000000021100000-1i3−i3000
χ17222222-1-22222-1-1-1-1-10-1-1-1-11i3−i3-2-2-2-20000001111i3i3i3i3−i3−i3−i3−i322000000000-2-1-1000001i3−i3000
χ18222222-1-22222-1-1-1-1-10-1-1-1-11i3−i3-2-2-2-20000001111i3i3i3i3−i3−i3−i3−i3-2-200000000021100000-1−i3i3000
χ19222-1-1-1222-1-1-122-1-1-122-1-1-12222-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-100222-1-1-1-1-1-10002-1-1-10000000
χ20222-1-1-1222-1-1-122-1-1-122-1-1-12222-1-1-1-2-22-1-1-12-1-1-12-1-1-12-1-1-100-2-2-2111111000-21110000000
χ21222-1-1-1222-1-1-122-1-1-1-22-1-1-12-2-22-1-1-122-21112-1-1-1-2111-211100-222-1-1-1-1-1-1000-21110000000
χ22222-1-1-1222-1-1-122-1-1-1-22-1-1-12-2-22-1-1-1-2-2-21112-1-1-1-2111-2111002-2-21111110002-1-1-10000000
χ2322-12-1-122-12-1-12-12-1-12-12-1-1222-12-1-122-12-1-1-12-1-1-12-1-1-12-1-1002-1-122-1-1-1-1000-12-1-10000000
χ2422-12-1-122-12-1-12-12-1-12-12-1-1222-12-1-1-2-2-12-1-1-12-1-1-12-1-1-12-1-100-211-2-211110001-2110000000
χ2522-12-1-122-12-1-12-12-1-1-2-12-1-12-2-2-12-1-1221-211-12-1-11-2111-21100-2-1-122-1-1-1-10001-2110000000
χ2622-12-1-122-12-1-12-12-1-1-2-12-1-12-2-2-12-1-1-2-21-211-12-1-11-2111-21100211-2-21111000-12-1-10000000
χ2722-1-12-122-1-12-12-1-12-12-1-12-1222-1-12-122-1-12-1-1-12-1-1-12-1-1-12-1002-1-1-1-122-1-1000-1-12-10000000
χ2822-1-12-122-1-12-12-1-12-12-1-12-1222-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-12-100-21111-2-21100011-210000000
χ2922-1-12-122-1-12-12-1-12-1-2-1-12-12-2-2-1-12-12211-21-1-12-111-2111-2100-2-1-1-1-122-1-100011-210000000
χ3022-1-12-122-1-12-12-1-12-1-2-1-12-12-2-2-1-12-1-2-211-21-1-12-111-2111-210021111-2-211000-1-12-10000000
χ3122-1-1-1222-1-1-122-1-1-122-1-1-12222-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12002-1-1-1-1-1-122000-1-1-120000000
χ3222-1-1-1222-1-1-122-1-1-122-1-1-12222-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-1200-2111111-2-2000111-20000000
χ3322-1-1-1222-1-1-122-1-1-12-2-1-1-122-2-2-1-1-1222111-2-1-1-12111-2111-200-2-1-1-1-1-1-122000111-20000000
χ3422-1-1-1222-1-1-122-1-1-12-2-1-1-122-2-2-1-1-12-2-2111-2-1-1-12111-2111-2002111111-2-2000-1-1-120000000
χ352-2222220-2-2-2-2-222220-2-2-2-200000002−200000000000000002i−2i02−22−22−22−202i−2i00000000−i2i20
χ362-2222220-2-2-2-2-222220-2-2-2-200000002−20000000000000000−2i2i02−22−22−22−20−2i2i00000000i2−i20
χ372-2222220-2-2-2-2-222220-2-2-2-20000000−2200000000000000002i−2i0−22−22−22−2202i−2i00000000i2−i20
χ382-2222220-2-2-2-2-222220-2-2-2-20000000−220000000000000000−2i2i0−22−22−22−220−2i2i00000000−i2i20
χ39444-2-2-24-44-2-2-244-2-2-204-2-2-2-400-4222000000-4222000000000000000000000000000000000
χ40444-2-2-2-244-2-2-2-2-21114-2111-2-2-24-2-2-2004-2-2-2-2111-2111-21110000000000000000000000000
χ41444-2-2-2-244-2-2-2-2-2111-4-2111-2224-2-2-200-4222-21112-1-1-12-1-1-10000000000000000000000000
χ42444-2-2-2-2-44-2-2-2-2-21110-21112−2i32i3-42220000002-1-1-1−2i3i3i3i32i3−i3−i3−i30000000000000000000000000
χ43444-2-2-2-2-44-2-2-2-2-21110-211122i3−2i3-42220000002-1-1-12i3−i3−i3−i3−2i3i3i3i30000000000000000000000000
χ4444-24-2-24-4-24-2-24-24-2-20-24-2-2-4002-4220000002-422000000000000000000000000000000000
χ4544-24-2-2-24-24-2-2-21-21141-211-2-2-2-24-2-200-24-2-21-2111-2111-2110000000000000000000000000
χ4644-24-2-2-24-24-2-2-21-211-41-211-222-24-2-2002-4221-211-12-1-1-12-1-10000000000000000000000000
χ4744-24-2-2-2-4-24-2-2-21-21101-2112−2i32i32-422000000-12-1-1i3−2i3i3i3−i32i3−i3−i30000000000000000000000000
χ4844-24-2-2-2-4-24-2-2-21-21101-21122i3−2i32-422000000-12-1-1−i32i3−i3−i3i3−2i3i3i30000000000000000000000000
χ4944-2-24-24-4-2-24-24-2-24-20-2-24-2-40022-4200000022-42000000000000000000000000000000000
χ5044-2-24-2-24-2-24-2-211-21411-21-2-2-2-2-24-200-2-24-211-2111-2111-210000000000000000000000000
χ5144-2-24-2-24-2-24-2-211-21-411-21-222-2-24-20022-4211-21-1-12-1-1-12-10000000000000000000000000
χ5244-2-24-2-2-4-2-24-2-211-21011-212−2i32i322-42000000-1-12-1i3i3−2i3i3−i3−i32i3−i30000000000000000000000000
χ5344-2-24-2-2-4-2-24-2-211-21011-2122i3−2i322-42000000-1-12-1−i3−i32i3−i3i3i3−2i3i30000000000000000000000000
χ5444-2-2-244-4-2-2-244-2-2-240-2-2-24-400222-4000000222-4000000000000000000000000000000000
χ5544-2-2-24-24-2-2-24-2111-24111-2-2-2-2-2-2-2400-2-2-24111-2111-2111-20000000000000000000000000
χ5644-2-2-24-24-2-2-24-2111-2-4111-2-222-2-2-2400222-4111-2-1-1-12-1-1-120000000000000000000000000
χ5744-2-2-24-2-4-2-2-24-2111-20111-22−2i32i3222-4000000-1-1-12i3i3i3−2i3−i3−i3−i32i30000000000000000000000000
χ5844-2-2-24-2-4-2-2-24-2111-20111-222i3−2i3222-4000000-1-1-12−i3−i3−i32i3i3i3i3−2i30000000000000000000000000
χ594-44444-20-4-4-4-42-2-2-2-20222200000000000000000000000004i−4i0000000000−2i2i00000000000
χ604-44444-20-4-4-4-42-2-2-2-2022220000000000000000000000000−4i4i00000000002i−2i00000000000
χ614-44-2-2-240-4222-44-2-2-20-4222000000022−22000000000000000000022−22−22−22−2200000000000000
χ624-44-2-2-240-4222-44-2-2-20-42220000000−22220000000000000000000−22222−22−22−200000000000000
χ634-4-24-2-2402-422-4-24-2-202-422000000022−220000000000000000000−2222−22−22−2200000000000000
χ644-4-24-2-2402-422-4-24-2-202-4220000000−222200000000000000000002−2−22222−22−200000000000000
χ654-4-2-24-24022-42-4-2-24-2022-42000000022−220000000000000000000−22−2222−22−2200000000000000
χ664-4-2-24-24022-42-4-2-24-2022-420000000−222200000000000000000002−22−2−22222−200000000000000
χ674-4-2-2-2440222-4-4-2-2-240222-4000000022−220000000000000000000−22−22−2222−2200000000000000
χ684-4-2-2-2440222-4-4-2-2-240222-40000000−222200000000000000000002−22−22−2−222200000000000000
χ698-88-4-4-4-40-84444-422204-2-2-200000000000000000000000000000000000000000000000000
χ708-8-48-4-4-404-84442-4220-24-2-200000000000000000000000000000000000000000000000000
χ718-8-4-48-4-4044-84422-420-2-24-200000000000000000000000000000000000000000000000000
χ728-8-4-4-48-40444-84222-40-2-2-2400000000000000000000000000000000000000000000000000

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