Finite Group Databasebeta

← Group #11781971

Character table — Group #11781971

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222222244444444444444444888888888888888888888888242424242424242424242424363636364848484848487272
order1222334444666666346661212121212121212121212124412121212121212121212121212121212121212121212888824242424242424248888441212121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-11-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-11111
χ7111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111
χ8111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ922222222-2-22222222-2222-2-2-2-222-2-2-2-2222-2-2-22222-2-2-2-222-2-22222-2-2-2-2000000000000000000000000
χ1022222222-2-22222222-2222-2-2-2-222-2-2-2-222-22-2-2-2-2-2-2222222-2-2-2-2-2-22222000000000000000000000000
χ11222222-2-2222222222-22222222-2-22222-2-200-2-200000000-2-2-2-20000000000000000000022-2-200000000
χ12222222-2-2222222222-22222222-2-22222-2-200-2-200000000-2-2-2-200000000000000000000-2-22200000000
χ13222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2002200000000-2-2220000000000000000000000000000002i−2i
χ14222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2002200000000-2-222000000000000000000000000000000−2i2i
χ1522222-122222-12-12-1-12-1-1-122-1-12-1-1-1-1-12-1222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100220000-1-1-1-100000200-1-100
χ1622222-122222-12-12-1-12-1-1-122-1-12-1-1-1-1-12-1222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20000111100000-2001100
χ1722222-122222-12-12-1-12-1-1-122-1-12-1-1-1-1-12-1-2-22-1-2-211-2-211-1-1-1-11111111100220000-1-1-1-100000-2001100
χ1822222-122222-12-12-1-12-1-1-122-1-12-1-1-1-1-12-1-2-22-1-2-211-2-211-1-1-1-11111111100-2-20000111100000200-1-100
χ1922222-122-2-22-12-12-1-1-2-1-1-1-2-2112-111112-12-2-2122-1-1-2-211-1-111-1-1-1-1111100000000−i3−i3i3i300000000−i3i300
χ2022222-122-2-22-12-12-1-1-2-1-1-1-2-2112-111112-12-2-2122-1-1-2-211-1-111-1-1-1-1111100000000i3i3−i3−i300000000i3−i300
χ2122222-122-2-22-12-12-1-1-2-1-1-1-2-2112-111112-1-22-21-2-21122-1-1-1-1111111-1-1-1-100000000−i3−i3i3i300000000i3−i300
χ2222222-122-2-22-12-12-1-1-2-1-1-1-2-2112-111112-1-22-21-2-21122-1-1-1-1111111-1-1-1-100000000i3i3−i3−i300000000−i3i300
χ232222-122222-12-12-12-12-1-1-1-1-122-12-1-1-1-1-1222-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12200-1-1-1-10000000020-1-10000
χ242222-122222-12-12-12-12-1-1-1-1-122-12-1-1-1-1-1222-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200111100000000-20110000
χ252222-122222-12-12-12-12-1-1-1-1-122-12-1-1-1-1-12-2-2-1211-2-211-2-2-1-1-1-1111111112200-1-1-1-100000000-20110000
χ262222-122222-12-12-12-12-1-1-1-1-122-12-1-1-1-1-12-2-2-1211-2-211-2-2-1-1-1-111111111-2-20011110000000020-1-10000
χ272222-1222-2-2-12-12-12-1-2-1-1-111-2-2-121111-122-21-2-1-12211-2-2-1-111-1-1-1-111110000−i3−i3i3i30000000000−i3i30000
χ282222-1222-2-2-12-12-12-1-2-1-1-111-2-2-121111-122-21-2-1-12211-2-2-1-111-1-1-1-111110000i3i3−i3−i30000000000i3−i30000
χ292222-1222-2-2-12-12-12-1-2-1-1-111-2-2-121111-12-221-211-2-2-1-122-1-1111111-1-1-1-10000−i3−i3i3i30000000000i3−i30000
χ302222-1222-2-2-12-12-12-1-2-1-1-111-2-2-121111-12-221-211-2-2-1-122-1-1111111-1-1-1-10000i3i3−i3−i30000000000−i3i30000
χ3122-2-222002-222-2-2-2-2202-2-22-22-20022-2-2000000000000000000000000002−22−22−22−22−22−22-20000000000
χ3222-2-222002-222-2-2-2-2202-2-22-22-20022-2-2000000000000000000000000002−2−222−22−2−22−22-220000000000
χ3322-2-222002-222-2-2-2-2202-2-22-22-20022-2-200000000000000000000000000−222−2−22−222−22−2-220000000000
χ3422-2-222002-222-2-2-2-2202-2-22-22-20022-2-200000000000000000000000000−22−22−22−22−22−222-20000000000
χ3544444-2-4-4444-24-24-2-2-4-2-2-244-2-2-42-2-2-2-2-4200-4200000000222200000000000000000000000000000000
χ3644444-2-4-4-4-44-24-24-2-24-2-2-2-4-422-422222-42004-20000000022-2-200000000000000000000000000000000
χ374444-24-4-444-24-24-24-2-4-2-2-2-2-2442-4-2-2-2-22-4002-400000000222200000000000000000000000000000000
χ384444-24-4-4-4-4-24-24-24-24-2-2-222-4-42-422222-400-240000000022-2-200000000000000000000000000000000
χ394444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-21111-2-244-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000
χ404444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-21111-2-2-4-4-2-2222222221111-1-1-1-1-1-1-1-1000000000000000000000000
χ414444-2-244-4-4-2-2-2-2-2-21-41112222-2-2-1-1-1-1-2-24-422-2-2-2-2222211-1-11111-1-1-1-1000000000000000000000000
χ424444-2-244-4-4-2-2-2-2-2-21-41112222-2-2-1-1-1-1-2-2-44222222-2-2-2-211-1-1-1-1-1-11111000000000000000000000000
χ434444-2-2-4-444-2-2-2-2-2-21-4111-2-2-2-222111122002200000000-1-1-1-133-3-333-3-3000000000000000000000000
χ444444-2-2-4-444-2-2-2-2-2-21-4111-2-2-2-222111122002200000000-1-1-1-1-3-333-3-333000000000000000000000000
χ454444-2-2-4-4-4-4-2-2-2-2-2-214111222222-1-1-1-12200-2-200000000-1-11133-3-3-3-333000000000000000000000000
χ464444-2-2-4-4-4-4-2-2-2-2-2-214111222222-1-1-1-12200-2-200000000-1-111-3-33333-3-3000000000000000000000000
χ4744-4-44400-4444-4-4-4-4404-4-4-44-4400-4-44400000000000000000000000000000000000000000000000000
χ4844-4-44-2004-44-2-42-42-20-2224-4-2200-2-222000000000000000000000000000022−220000−22−22000000000000
χ4944-4-44-2004-44-2-42-42-20-2224-4-2200-2-2220000000000000000000000000000−222200002−22−2000000000000
χ5044-4-44-200-444-2-42-42-20-222-442-20022-2-20000000000000000000000000000000000i6−i6−i6i6000000000000
χ5144-4-44-200-444-2-42-42-20-222-442-20022-2-20000000000000000000000000000000000−i6i6i6−i6000000000000
χ5244-4-4-24004-4-242-42-4-20-222-224-400-2-2220000000000000000000000000022−2200−22−220000000000000000
χ5344-4-4-24004-4-242-42-4-20-222-224-400-2-22200000000000000000000000000−2222002−22−20000000000000000
χ5444-4-4-2400-44-242-42-4-20-2222-2-440022-2-2000000000000000000000000000000i6−i6−i6i60000000000000000
χ5544-4-4-2400-44-242-42-4-20-2222-2-440022-2-2000000000000000000000000000000−i6i6i6−i60000000000000000
χ564-44-4440000-4-444-4-440-44-40000000000000000000000000000000000000000000000000022−2200000000
χ574-44-4440000-4-444-4-440-44-400000000000000000000000000000000000000000000000000−222200000000
χ584-4-44444-400-4-4-4-44440-4-4400004-40000-440000000000004-40000000000000000000000000000000000
χ594-4-4444-4400-4-4-4-44440-4-440000-4400004-4000000000000-440000000000000000000000000000000000
χ604-4-444-24-400-42-424-2-2022-20000420000-4-20000000000−2i32i3-22000000−2i32i3−2i32i3000000000000000000000000
χ614-4-444-24-400-42-424-2-2022-20000420000-4-200000000002i3−2i3-220000002i3−2i32i3−2i3000000000000000000000000
χ624-4-444-2-4400-42-424-2-2022-20000-4-200004200000023−2300002-20023−2323−230000000000000000000000000000
χ634-4-444-2-4400-42-424-2-2022-20000-4-2000042000000−232300002-200−2323−23230000000000000000000000000000
χ644-4-44-244-4002-42-4-24-2022-20000-2-4000024000023−23000000-220023−23−23230000000000000000000000000000
χ654-4-44-244-4002-42-4-24-2022-20000-2-40000240000−2323000000-2200−232323−230000000000000000000000000000
χ664-4-44-24-44002-42-4-24-2022-20000240000-2-400000000−2i32i3002-2000000−2i32i32i3−2i3000000000000000000000000
χ674-4-44-24-44002-42-4-24-2022-20000240000-2-4000000002i3−2i3002-20000002i3−2i3−2i32i3000000000000000000000000
χ684-4-44-2-24-4002222-2-210-1-110000-223i−3i3i−3i2-2000023−230000−2i32i31-13i−3i−333−3i3−i3i3−i3000000000000000000000000
χ694-4-44-2-24-4002222-2-210-1-110000-223i−3i3i−3i2-20000−232300002i3−2i31-13i−3i3−3−33−i3i3−i3i3000000000000000000000000
χ704-4-44-2-24-4002222-2-210-1-110000-22−3i3i−3i3i2-2000023−2300002i3−2i31-1−3i3i−333−3−i3i3−i3i3000000000000000000000000
χ714-4-44-2-24-4002222-2-210-1-110000-22−3i3i−3i3i2-20000−23230000−2i32i31-1−3i3i3−3−33i3−i3i3−i3000000000000000000000000
χ724-4-44-2-2-44002222-2-210-1-1100002-23i−3i3i−3i-2200000023−23−2i32i300-11−3i3i−33−33i3−i3−i3i3000000000000000000000000
χ734-4-44-2-2-44002222-2-210-1-1100002-23i−3i3i−3i-22000000−23232i3−2i300-11−3i3i3−33−3−i3i3i3−i3000000000000000000000000
χ744-4-44-2-2-44002222-2-210-1-1100002-2−3i3i−3i3i-2200000023−232i3−2i300-113i−3i−33−33−i3i3i3−i3000000000000000000000000
χ754-4-44-2-2-44002222-2-210-1-1100002-2−3i3i−3i3i-22000000−2323−2i32i300-113i−3i3−33−3i3−i3−i3i3000000000000000000000000
χ7688-8-8-4-4008-8-4-44444202-2-2-44-440022-2-200000000000000000000000000000000000000000000000000
χ7788-8-8-4-400-88-4-44444202-2-24-44-400-2-22200000000000000000000000000000000000000000000000000
χ788-88-88-40000-848-4-84-404-44000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4800004-8-484-8-404-44000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-4000044-4-44420-22-20000006i−6i−6i6i00000000000000000000000000000000000000000000000000
χ818-88-8-4-4000044-4-44420-22-2000000−6i6i6i−6i00000000000000000000000000000000000000000000000000

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