Finite Group Databasebeta

← Group #11781898

Character table — Group #11781898

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
χ5111111111111111111111111111111111-1-11-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111-1-11-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-11111
χ7111111111111111111111111111111111-1-11-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111
χ8111111111111111111111111111111111-1-11-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ92222222-22-22222222-2222-2-2-2-222-2-2-2-2222-2-222-2-2-222-2-222-2-22222-2-2-2-2000000000000000000000000
χ102222222-22-22222222-2222-2-2-2-222-2-2-2-222-22-2-2-222-2-2-22222-2-2-2-2-2-22222000000000000000000000000
χ11222222-22-222222222-22222222-2-22222-2-200-20000-20000-2-2-2-20000000000000000000022-2-200000000
χ12222222-22-222222222-22222222-2-22222-2-200-20000-20000-2-2-2-200000000000000000000-2-22200000000
χ13222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2002000020000-2-2220000000000000000000000000000002i−2i
χ14222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2002000020000-2-222000000000000000000000000000000−2i2i
χ1522222-122222-12-12-1-12-1-1-122-1-12-1-1-1-1-12-122-122-1-12-1-122-1-1-1-1-1-1-1-1-1-1-1-100220000-1-1-1-100000200-1-100
χ1622222-122222-12-12-1-12-1-1-122-1-12-1-1-1-1-12-122-122-1-12-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-20000111100000-2001100
χ1722222-122222-12-12-1-12-1-1-122-1-12-1-1-1-1-12-1-2-2-1-2-211211-2-2-1-1-1-11111111100220000-1-1-1-100000-2001100
χ1822222-122222-12-12-1-12-1-1-122-1-12-1-1-1-1-12-1-2-2-1-2-211211-2-2-1-1-1-11111111100-2-20000111100000200-1-100
χ1922222-12-22-22-12-12-1-1-2-1-1-1-2-2112-111112-12-212211-2-1-1-2-2-1-111-1-1-1-1111100000000−i3−i3i3i300000000−i3i300
χ2022222-12-22-22-12-12-1-1-2-1-1-1-2-2112-111112-12-212211-2-1-1-2-2-1-111-1-1-1-1111100000000i3i3−i3−i300000000i3−i300
χ2122222-12-22-22-12-12-1-1-2-1-1-1-2-2112-111112-1-221-2-2-1-1-21122-1-1111111-1-1-1-100000000−i3−i3i3i300000000i3−i300
χ2222222-12-22-22-12-12-1-1-2-1-1-1-2-2112-111112-1-221-2-2-1-1-21122-1-1111111-1-1-1-100000000i3i3−i3−i300000000−i3i300
χ232222-122222-12-12-12-12-1-1-1-1-122-12-1-1-1-1-12222-1-122-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12200-1-1-1-10000000020-1-10000
χ242222-122222-12-12-12-12-1-1-1-1-122-12-1-1-1-1-12222-1-122-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200111100000000-20110000
χ252222-122222-12-12-12-12-1-1-1-1-122-12-1-1-1-1-12-2-2211-2-2-1-2-211-1-1-1-1111111112200-1-1-1-100000000-20110000
χ262222-122222-12-12-12-12-1-1-1-1-122-12-1-1-1-1-12-2-2211-2-2-1-2-211-1-1-1-111111111-2-20011110000000020-1-10000
χ272222-122-22-2-12-12-12-1-2-1-1-111-2-2-121111-122-2-2-1-1-2-212211-1-111-1-1-1-111110000−i3−i3i3i30000000000−i3i30000
χ282222-122-22-2-12-12-12-1-2-1-1-111-2-2-121111-122-2-2-1-1-2-212211-1-111-1-1-1-111110000i3i3−i3−i30000000000i3−i30000
χ292222-122-22-2-12-12-12-1-2-1-1-111-2-2-121111-12-22-211221-2-2-1-1-1-1111111-1-1-1-10000−i3−i3i3i30000000000i3−i30000
χ302222-122-22-2-12-12-12-1-2-1-1-111-2-2-121111-12-22-211221-2-2-1-1-1-1111111-1-1-1-10000i3i3−i3−i30000000000−i3i30000
χ3122-2-222020-222-2-2-2-2202-2-22-22-20022-2-2000000000000000000000000002−22−22−22−22−22−22-20000000000
χ3222-2-222020-222-2-2-2-2202-2-22-22-20022-2-2000000000000000000000000002−2−222−22−2−22−22-220000000000
χ3322-2-222020-222-2-2-2-2202-2-22-22-20022-2-200000000000000000000000000−222−2−22−222−22−2-220000000000
χ3422-2-222020-222-2-2-2-2202-2-22-22-20022-2-200000000000000000000000000−22−22−22−22−22−222-20000000000
χ3544444-2-44-444-24-24-2-2-4-2-2-244-2-2-42-2-2-2-2-420020000-40000222200000000000000000000000000000000
χ3644444-2-4-4-4-44-24-24-2-24-2-2-2-4-422-422222-4200-200004000022-2-200000000000000000000000000000000
χ374444-24-44-44-24-24-24-2-4-2-2-2-2-2442-4-2-2-2-22-400-4000020000222200000000000000000000000000000000
χ384444-24-4-4-4-4-24-24-24-24-2-2-222-4-42-422222-40040000-2000022-2-200000000000000000000000000000000
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
χ404444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-21111-2-2-4-4-22222-222221111-1-1-1-1-1-1-1-1000000000000000000000000
χ414444-2-24-44-4-2-2-2-2-2-21-41112222-2-2-1-1-1-1-2-24-42-2-2222-2-22211-1-11111-1-1-1-1000000000000000000000000
χ424444-2-24-44-4-2-2-2-2-2-21-41112222-2-2-1-1-1-1-2-2-44222-2-2222-2-211-1-1-1-1-1-11111000000000000000000000000
χ434444-2-2-44-44-2-2-2-2-2-21-4111-2-2-2-222111122002000020000-1-1-1-133-3-333-3-3000000000000000000000000
χ444444-2-2-44-44-2-2-2-2-2-21-4111-2-2-2-222111122002000020000-1-1-1-1-3-333-3-333000000000000000000000000
χ454444-2-2-4-4-4-4-2-2-2-2-2-214111222222-1-1-1-12200-20000-20000-1-11133-3-3-3-333000000000000000000000000
χ464444-2-2-4-4-4-4-2-2-2-2-2-214111222222-1-1-1-12200-20000-20000-1-111-3-33333-3-3000000000000000000000000
χ4744-4-4440-40444-4-4-4-4404-4-4-44-4400-4-44400000000000000000000000000000000000000000000000000
χ4844-4-44-2040-44-2-42-42-20-2224-4-2200-2-222000000000000000000000000000022−220000−22−22000000000000
χ4944-4-44-2040-44-2-42-42-20-2224-4-2200-2-2220000000000000000000000000000−222200002−22−2000000000000
χ5044-4-44-20-4044-2-42-42-20-222-442-20022-2-20000000000000000000000000000000000i6−i6−i6i6000000000000
χ5144-4-44-20-4044-2-42-42-20-222-442-20022-2-20000000000000000000000000000000000−i6i6i6−i6000000000000
χ5244-4-4-24040-4-242-42-4-20-222-224-400-2-2220000000000000000000000000022−2200−22−220000000000000000
χ5344-4-4-24040-4-242-42-4-20-222-224-400-2-22200000000000000000000000000−2222002−22−20000000000000000
χ5444-4-4-240-404-242-42-4-20-2222-2-440022-2-2000000000000000000000000000000i6−i6−i6i60000000000000000
χ5544-4-4-240-404-242-42-4-20-2222-2-440022-2-2000000000000000000000000000000−i6i6i6−i60000000000000000
χ564-44-4440000-4-4-444-440-44-400000000000000000000000000000000000000000000000000−2i22i200000000
χ574-44-4440000-4-4-444-440-44-4000000000000000000000000000000000000000000000000002i2−2i200000000
χ584-4-444440-40-4-44-4-4440-4-440000440000-4-40000000000004-40000000000000000000000000000000000
χ594-4-4444-4040-4-44-4-4440-4-440000-4-4000044000000000000-440000000000000000000000000000000000
χ604-4-444-240-40-4242-4-2-2022-200004-20000-420000023−2300000-2200000023−2323−23000000000000000000000000
χ614-4-444-240-40-4242-4-2-2022-200004-20000-4200000−232300000-22000000−2323−2323000000000000000000000000
χ624-4-444-2-4040-4242-4-2-2022-20000-4200004-200000000−2i32i3002-200−2i32i3−2i32i30000000000000000000000000000
χ634-4-444-2-4040-4242-4-2-2022-20000-4200004-2000000002i3−2i3002-2002i3−2i32i3−2i30000000000000000000000000000
χ644-4-44-2440-402-4-2-424-2022-20000-2400002-4000−2i32i30000000-2200−2i32i32i3−2i30000000000000000000000000000
χ654-4-44-2440-402-4-2-424-2022-20000-2400002-40002i3−2i30000000-22002i3−2i3−2i32i30000000000000000000000000000
χ664-4-44-24-40402-4-2-424-2022-200002-40000-24000000000023−232-200000023−23−2323000000000000000000000000
χ674-4-44-24-40402-4-2-424-2022-200002-40000-240000000000−23232-2000000−232323−23000000000000000000000000
χ684-4-44-2-240-4022-222-210-1-110000-2-23i−3i3i−3i22000−2i32i323−23000001-13i−3ii3−i3−i3i3−33−33000000000000000000000000
χ694-4-44-2-240-4022-222-210-1-110000-2-23i−3i3i−3i220002i3−2i3−2323000001-13i−3i−i3i3i3−i33−33−3000000000000000000000000
χ704-4-44-2-240-4022-222-210-1-110000-2-2−3i3i−3i3i22000−2i32i3−2323000001-1−3i3ii3−i3−i3i33−33−3000000000000000000000000
χ714-4-44-2-240-4022-222-210-1-110000-2-2−3i3i−3i3i220002i3−2i323−23000001-1−3i3i−i3i3i3−i3−33−33000000000000000000000000
χ724-4-44-2-2-404022-222-210-1-110000223i−3i3i−3i-2-200000000−2i32i323−23-11−3i3ii3−i3i3−i3−333−3000000000000000000000000
χ734-4-44-2-2-404022-222-210-1-110000223i−3i3i−3i-2-2000000002i3−2i3−2323-11−3i3i−i3i3−i3i33−3−33000000000000000000000000
χ744-4-44-2-2-404022-222-210-1-11000022−3i3i−3i3i-2-200000000−2i32i3−2323-113i−3ii3−i3i3−i33−3−33000000000000000000000000
χ754-4-44-2-2-404022-222-210-1-11000022−3i3i−3i3i-2-2000000002i3−2i323−23-113i−3i−i3i3−i3i3−333−3000000000000000000000000
χ7688-8-8-4-4080-8-4-44444202-2-2-44-440022-2-200000000000000000000000000000000000000000000000000
χ7788-8-8-4-40-808-4-44444202-2-24-44-400-2-22200000000000000000000000000000000000000000000000000
χ788-88-88-40000-84-8-484-404-44000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4800004-848-4-8-404-44000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-40000444-4-4420-22-20000006i−6i−6i6i00000000000000000000000000000000000000000000000000
χ818-88-8-4-40000444-4-4420-22-2000000−6i6i6i−6i00000000000000000000000000000000000000000000000000

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