Finite Group Databasebeta

← Group #11884288

Character table — Group #11884288

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121212121818242424242424242424242424242424242436363648487272
order122233446666662234466612121212121212121212121212124666666661212121212121212121212121222888844444668812122424242424242424224121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1111-1111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-111-1-1-11-1-1-1-1-1-11111-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ511111111111111111-1-1111-1-1-1-1-1-11-1-1-1-1111-111111111-1-1-1-1-111-1-1-1-1-1-111111111-11-111-1-1-1-111-1-111-1-11-1-11-1-11
χ611111111111111111-1-1111-1-1-1-1-1-11-1-1-1-1111-111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111-11-1-111-1-1-1-111-111-111-1
χ711111111111111111-1-1111-1-1-1-1-1-11-1-1-1-1111-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11-111-1-11111-1-1-1111-11-1
χ811111111111111111-1-1111-1-1-1-1-1-11-1-1-1-1111-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-11111-1-111-1-1111-1-1-11-11
χ911111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-111-1-11-1-111-1111-1-1-1-11111-1-1-1-1-111
χ1011111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111-1-1
χ1111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-111-1-111111111111-1-1-1-1
χ1211111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-11-1-1-11111-1-1-1-1-1-1-11111
χ1311111111111111-1-11-1-1111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1111111-1-111-1-1-1-11111-1-1-1-1-11111-1-1-111-11-11
χ1411111111111111-1-11-1-1111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-11-11111-1-1-1-111-1-1111-1-11-11-1
χ1511111111111111-1-11-1-1111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-11111-1-11111111-11-1-1-1-11111-1-111-1-11-1-1-111-1
χ1611111111111111-1-11-1-1111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-111-1-1-1-111111-1-1-1-111-1111-1-11
χ17222222-2-22222220022-22222222-2-2-22222-2-2-2000000000-20000-2-2-2-200000000002200000000000000000-22-20000
χ18222222-2-22222220022-22222222-2-2-22222-2-2-2000000000-20000-2-2-2-20000000000-2-2000000000000000002-220000
χ19222222-2-2222222002-22222-2-2-2-222-2-2-2-2-2-2-2-200000000020000-2-22200000000002200000000000000000-2-220000
χ20222222-2-2222222002-22222-2-2-2-222-2-2-2-2-2-2-2-200000000020000-2-2220000000000-2-20000000000000000022-20000
χ2122222-1222-12-1-1222-122-1-1-122-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-122220000200-1-120-1-1-1-1-1-100000000000
χ2222222-1222-12-1-1222-122-1-1-122-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-20011-2011111100000000000
χ2322222-1222-12-1-1222-1-2-2-1-1-1-2-2111121111-1-12-222-1-1-1-1-1-1-2-2-211-1-111111122220000-200-1-1-2011-1-11100000000000
χ2422222-1222-12-1-1222-1-2-2-1-1-1-2-2111121111-1-12-222-1-1-1-1-1-1-2-2-211-1-1111111-2-2-2-200002001120-1-111-1-100000000000
χ2522222-1222-12-1-12-2-2-122-1-1-122-1-1-1-12-1-1-1-1-1-12-2-2-21111112-2-211-1-1-1-1111122-2-20000200-1-1-20-1-1111100000000000
χ2622222-1222-12-1-12-2-2-122-1-1-122-1-1-1-12-1-1-1-1-1-12-2-2-21111112-2-211-1-1-1-11111-2-2220000-200112011-1-1-1-100000000000
χ2722222-1222-12-1-12-2-2-1-2-2-1-1-1-2-2111121111-1-122-2-2111111-222-1-1-1-111-1-1-1-122-2-20000-200-1-1201111-1-100000000000
χ2822222-1222-12-1-12-2-2-1-2-2-1-1-1-2-2111121111-1-122-2-2111111-222-1-1-1-111-1-1-1-1-2-222000020011-20-1-1-1-11100000000000
χ292222-1222-12-122-122-122-1-1-1-1-12222-1-1-1-1-122-12-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000022000220002000000-1-1-1-1000-1-100
χ302222-1222-12-122-122-122-1-1-1-1-12222-1-1-1-1-122-12-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2000-2-2000-200000011110001100
χ312222-1222-12-122-122-1-2-2-1-1-111-2-2-2-2-1111122-1-2-1-122-1-1-1-1111-2-2-1-11111110000220002-2000-2000000-1-111000-1100
χ322222-1222-12-122-122-1-2-2-1-1-111-2-2-2-2-1111122-1-2-1-122-1-1-1-1111-2-2-1-11111110000-2-2000-22000200000011-1-10001-100
χ332222-1222-12-122-1-2-2-122-1-1-1-1-12222-1-1-1-1-122-1-211-2-21111-111-2-2-1-1-1-11111000022000-2-20002000000-1-1-1-10001100
χ342222-1222-12-122-1-2-2-122-1-1-1-1-12222-1-1-1-1-122-1-211-2-21111-111-2-2-1-1-1-111110000-2-200022000-20000001111000-1-100
χ352222-1222-12-122-1-2-2-1-2-2-1-1-111-2-2-2-2-1111122-1211-2-211111-1-122-1-111-1-1-1-1000022000-22000-2000000-1-1110001-100
χ362222-1222-12-122-1-2-2-1-2-2-1-1-111-2-2-2-2-1111122-1211-2-211111-1-122-1-111-1-1-1-10000-2-20002-2000200000011-1-1000-1100
χ372-2-2222-22-22-2-2-222-22002-2-2000000-200002-2202-22-222-2-2000002-20000002-22-200000002-200002-20000000000000
χ382-2-2222-22-22-2-2-222-22002-2-2000000-200002-2202-22-222-2-2000002-2000000-22-220000000-220000-220000000000000
χ392-2-2222-22-22-2-2-22-222002-2-2000000-200002-220-22-22-2-222000002-20000002-2-2200000002-20000-220000000000000
χ402-2-2222-22-22-2-2-22-222002-2-2000000-200002-220-22-22-2-222000002-2000000-222-20000000-2200002-20000000000000
χ412-2-222-1-22-2-1-21122-2-100-111003−33−3-233−3−3-11202-2-11-1-1110003−3-113−333−3−32-22-20000000-11003−3-113−300000000000
χ422-2-222-1-22-2-1-21122-2-100-111003−33−3-233−3−3-11202-2-11-1-1110003−3-113−333−3−3-22-2200000001-100−331-1−3300000000000
χ432-2-222-1-22-2-1-21122-2-100-11100−33−33-2−3−333-11202-2-11-1-111000−33-11−33−3−3332-22-20000000-1100−33-11−3300000000000
χ442-2-222-1-22-2-1-21122-2-100-11100−33−33-2−3−333-11202-2-11-1-111000−33-11−33−3−333-22-2200000001-1003−31-13−300000000000
χ452-2-222-1-22-2-1-2112-22-100-111003−33−3-233−3−3-1120-221-111-1-1000−33-113−3−3−3332-2-220000000-11003−31-1−3300000000000
χ462-2-222-1-22-2-1-2112-22-100-111003−33−3-233−3−3-1120-221-111-1-1000−33-113−3−3−333-222-200000001-100−33-113−300000000000
χ472-2-222-1-22-2-1-2112-22-100-11100−33−33-2−3−333-1120-221-111-1-10003−3-11−3333−3−32-2-220000000-1100−331-13−300000000000
χ482-2-222-1-22-2-1-2112-22-100-11100−33−33-2−3−333-1120-221-111-1-10003−3-11−3333−3−3-222-200000001-1003−3-11−3300000000000
χ4944444-2-4-44-24-2-2400-24-4-2-2-244-2-222-4-2-2-2-222-4000000000-400002222000000000000000000000000000000000000
χ5044444-2-4-44-24-2-2400-2-44-2-2-2-4-422-2-2-4222222-40000000004000022-2-2000000000000000000000000000000000000
χ514444-24-4-4-24-244-200-24-4-2-2-2-2-244-4-42-2-2-2-2-4-42000000000200002222000000000000000000000000000000000000
χ524444-24-4-4-24-244-200-2-44-2-2-222-4-44422222-4-42000000000-2000022-2-2000000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-244144111-2-2-2-2-2-2-21111-2-2-24-2-2-2-21111-2-2-2-2-21111111100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2441-4-4111222222-2-1-1-1-1-2-2-2-4-2-2-2-211112222211-1-1-1-1-1-100000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-4144111-2-2-2-2-2-2-21111-2-2-2-42222-1-1-1-1-222221111-1-1-1-100000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41-4-4111222222-2-1-1-1-1-2-2-242222-1-1-1-12-2-2-2-211-1-1111100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-20014-4111-2-2-2-22221111222000003-33-320000-1-1-1-13-33-300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-20014-4111-2-2-2-2222111122200000-33-3320000-1-1-1-1-33-3300000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2001-441112222-2-22-1-1-1-1222000003-33-3-20000-1-111-33-3300000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2001-441112222-2-22-1-1-1-122200000-33-33-20000-1-1113-33-300000000000000000000000000000000
χ6144-4-44400-4-444-4-400400-4-440000000000000000000000000000000000000000−2i22i2000000000000000−2i22i2000000000
χ6244-4-44400-4-444-4-400400-4-4400000000000000000000000000000000000000002i2−2i20000000000000002i2−2i2000000000
χ6344-4-4-24002-4-24-4200-20022-2−2i32i300000−2i32i3−2i32i300000000000000000000000000000−2i22i2000000000000000i2−i26−60000000
χ6444-4-4-24002-4-24-4200-20022-2−2i32i300000−2i32i3−2i32i3000000000000000000000000000002i2−2i2000000000000000−i2i2−660000000
χ6544-4-4-24002-4-24-4200-20022-22i3−2i3000002i3−2i32i3−2i300000000000000000000000000000−2i22i2000000000000000i2−i2−660000000
χ6644-4-4-24002-4-24-4200-20022-22i3−2i3000002i3−2i32i3−2i3000000000000000000000000000002i2−2i2000000000000000−i2i26−60000000
χ674-44-444004-4-4-44-400400-44-40000000000000000000000000000000000000000004i−4i000000000000000000000000
χ684-44-444004-4-4-44-400400-44-4000000000000000000000000000000000000000000−4i4i000000000000000000000000
χ694-4-44444-4-44-4-4-44004004-4-400000040000-44-400000000000000-4400000000000000000000000000000000000000
χ704-4-444-24-4-4-2-422400-200-2220023−23−232342323−23−232-2-4000000000000002-2−2323000000000000000000000000000000000000
χ714-4-444-24-4-4-2-422400-200-22200−232323−234−23−2323232-2-4000000000000002-223−23000000000000000000000000000000000000
χ724-4-44-244-4242-4-4-200-200-222000000-20000-442000000000023−23002-20023−23−232300000000000000000000000000000000
χ734-4-44-244-4242-4-4-200-200-222000000-20000-4420000000000−2323002-200−232323−2300000000000000000000000000000000
χ744-4-44-24-44242-4-4-24-4-200-222000000200004-4-20-224-4-2-22200000-2200000000000000000000000000000000000000
χ754-4-44-24-44242-4-4-2-44-200-222000000200004-4-202-2-4422-2-200000-2200000000000000000000000000000000000000
χ764-4-44-2-24-42-2222-2001001-1-10023−23−2323-2−3−3332-22000003-3-330−232300-113−33−3−3300000000000000000000000000000000
χ774-4-44-2-24-42-2222-2001001-1-10023−23−2323-2−3−3332-2200000-333-3023−2300-113−3−333−300000000000000000000000000000000
χ784-4-44-2-24-42-2222-2001001-1-100−232323−23-233−3−32-22000003-3-33023−2300-11−33−333−300000000000000000000000000000000
χ794-4-44-2-24-42-2222-2001001-1-100−232323−23-233−3−32-2200000-333-30−232300-11−333−3−3300000000000000000000000000000000
χ804-4-44-2-2-442-2222-24-41001-1-10023−2323−232−3−333-22-20-22-2211-1-100023−231-1−33−3−33300000000000000000000000000000000
χ814-4-44-2-2-442-2222-24-41001-1-100−2323−2323233−3−3-22-20-22-2211-1-1000−23231-13−333−3−300000000000000000000000000000000
χ824-4-44-2-2-442-2222-2-441001-1-10023−2323−232−3−333-22-202-22-2-1-111000−23231-1−3333−3−300000000000000000000000000000000
χ834-4-44-2-2-442-2222-2-441001-1-100−2323−2323233−3−3-22-202-22-2-1-11100023−231-13−3−3−33300000000000000000000000000000000
χ8488-8-88-400-848-44-800-40044-400000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-40044-4-44400200-2-22−4i34i3000002i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-40044-4-44400200-2-224i3−4i300000−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000
χ878-88-88-40084-84-4-800-4004-4400000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4800-4-84-88400-4004-4400000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-400-4444-4400200-22-200000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400-4444-4400200-22-20000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000

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