Finite Group Databasebeta

← Group #11889775

Character table — Group #11889775

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order12223344666666344666121212122248121212121212242424242424242424466668812121212121224448121212121212242424242244886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-111-1-1-1-1111111-11-111-1111-1-111-1-1-1-1-1-1-1-1-11-1
χ311111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-11
χ411111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-11-111-1-111-1-111-1-111-1-1-1-1111-1-1-1-11111-1-1111-1-1
χ5111111111111111111111111-1-111111111111111111-11-1-111111111111-11-1-11-1-1-111-1-111-1-1-1-1-1-11-1-1
χ6111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111-1-1-1-11111-1-1-11111-1-111-1-111-11-1
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-1-111-1-1-1-1-1-11111-1-111-1-1111
χ9111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-111-1-1111-1-11-111-1-1-1-1-1-1-1-11111-1-111-1
χ10111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-11-111-1-11111-1-111-1-111-1-11-1-111-1-111-1-1-1-111-111
χ11111111111111111-1-1111111111-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11111-1-1-1
χ12111111111111111-1-1111111111-11-1-1-1-11111111111-11-111-1-1-1-1-1-1-1-1-1-11-11-11-11-1-11111-1-111-1-1-1-11-11
χ13111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11-11-1-111-1-111-1-11111-1-111-111-1-111-1-1-1-1-1-1111-11
χ14111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-11-1-1111111111111-1-1-1-1-1
χ15111111111111111-1-11111111-1-1-11-1-1-1-111111111111-11-1-11111-1-1-1-1-1-1-11-11-11-111-1-1-1-11111-1-1-1-1-111
χ16111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1111111-1
χ17222222-2-2222222200222-2-2-2-222000000-2-2000000002-2-222220000000000000-2-200000000002-200000
χ18222222-2-2222222200222-2-2-2-222000000-2-200000000-2-2222-2-200000000000002-20000000000-2200000
χ19222222-2-2222222200222-2-2-2-2-2-2000000-2-20000000022-2-2-2220000000000000-220000000000-2200000
χ20222222-2-2222222200222-2-2-2-2-2-2000000-2-200000000-222-2-2-2-200000000000002200000000002-200000
χ2122222-1222-1-122-1-122-1-1-1-12-12002222-1-1-1-122-1-1-1-1-1-120200-1-1222-1-1-1-1-120200-1000-1-100-1-1000000-100
χ2222222-1222-1-122-1-122-1-1-1-12-12002222-1-1-1-122-1-1-1-1-1-1-20-20011-2-22-1-1-1-1-1-20-2001000110011000000100
χ2322222-1222-1-122-1-122-1-1-1-12-1200-2-222-1-1-1-1-2-211111120200-1-1-2-2-21-1-111-20200-1000-1-10011000000100
χ2422222-1222-1-122-1-122-1-1-1-12-1200-2-222-1-1-1-1-2-2111111-20-2001122-21-1-11120-20010001100-1-1000000-100
χ2522222-1222-1-122-1-1-2-2-1-1-1-12-12002-2-2-211-1-1-2-211111120200-1-1-2-22-111-1-120-200-1000110011000000-100
χ2622222-1222-1-122-1-1-2-2-1-1-1-12-12002-2-2-211-1-1-2-2111111-20-20011222-111-1-1-202001000-1-100-1-1000000100
χ2722222-1222-1-122-1-1-2-2-1-1-1-12-1200-22-2-211-1-122-1-1-1-1-1-120200-1-122-211111-20-200-10001100-1-1000000100
χ2822222-1222-1-122-1-1-2-2-1-1-1-12-1200-22-2-211-1-122-1-1-1-1-1-1-20-20011-2-2-211111202001000-1-10011000000-100
χ292222-1222-122-1-12-122-1-1-12-12-12222-1-122-1-1-1-122-1-1-1-1020-1-10000-12-1-1-1-1020220-1-1-100-1-1000000000-10
χ302222-1222-122-1-12-122-1-1-12-12-122-2-2-1-122-1-111-2-21111020-1-100001-2-1-111020-2-20-1-1-1001100000000010
χ312222-1222-122-1-12-122-1-1-12-12-1-2-222-1-122-1-1-1-122-1-1-1-10-20110000-12-1-1-1-10-20-2-20111001100000000010
χ322222-1222-122-1-12-122-1-1-12-12-1-2-2-2-2-1-122-1-111-2-211110-201100001-2-1-1110-2022011100-1-1000000000-10
χ332222-1222-122-1-12-1-2-2-1-1-12-12-1222-211-2-2-1-111-2-21111020-1-10000-1211-1-10-202-20-1110011000000000-10
χ342222-1222-122-1-12-1-2-2-1-1-12-12-122-2211-2-2-1-1-1-122-1-1-1-1020-1-100001-211110-20-220-11100-1-100000000010
χ352222-1222-122-1-12-1-2-2-1-1-12-12-1-2-22-211-2-2-1-111-2-211110-20110000-1211-1-1020-2201-1-100-1-100000000010
χ362222-1222-122-1-12-1-2-2-1-1-12-12-1-2-2-2211-2-2-1-1-1-122-1-1-1-10-201100001-211110202-201-1-10011000000000-10
χ372-2-22222-2-2-222-2-222i−2i-22-222-2-200002i−2i2i−2i-2200000000000000000002i−2i000000000000000002-2002i−2i000
χ382-2-22222-2-2-222-2-222i−2i-22-222-2-200002i−2i2i−2i-2200000000000000000002i−2i00000000000000000-2200−2i2i000
χ392-2-22222-2-2-222-2-22−2i2i-22-222-2-20000−2i2i−2i2i-220000000000000000000−2i2i000000000000000002-200−2i2i000
χ402-2-22222-2-2-222-2-22−2i2i-22-222-2-20000−2i2i−2i2i-220000000000000000000−2i2i00000000000000000-22002i−2i000
χ4144444-2-4-44-2-244-2-200-2-2-22-42-400000000220000000040-400-2-200000000000002000000000000000000
χ4244444-2-4-44-2-244-2-200-2-2-22-42-4000000002200000000-40400220000000000000-2000000000000000000
χ434444-24-4-4-244-2-24-200-2-2-2-42-424400000022000000000-40-2-20000000000000000200000000000000000
χ444444-24-4-4-244-2-24-200-2-2-2-42-42-4-40000002200000000040220000000000000000-200000000000000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-211-2-2-2-21111000000000-2-21111000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-4-2-2-2-2112222-1-1-1-10000000002211-1-1000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-42222112222-1-1-1-1000000000-2-2-1-111000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-44222211-2-2-2-2111100000000022-1-1-1-1000000000000000000000000
χ4944-4-4440044-4-4-4-44004-4-400004-400000000000000000004-40000000000000000000000000000000000
χ5044-4-4440044-4-4-4-44004-4-40000-440000000000000000000-440000000000000000000000000000000000
χ5144-4-4-2400-24-422-4-200-22200004-400000000i6−i600i6i6−i6−i6000-22000000000000000000000i6−i600000000000
χ5244-4-4-2400-24-422-4-200-22200004-400000000−i6i600−i6−i6i6i6000-22000000000000000000000−i6i600000000000
χ5344-4-4-2400-24-422-4-200-2220000-4400000000i6−i600i6i6−i6−i60002-2000000000000000000000−i6i600000000000
χ5444-4-4-2400-24-422-4-200-2220000-4400000000−i6i600−i6−i6i6i60002-2000000000000000000000i6−i600000000000
χ554-44-44400-4-4-4-444400-4-440000000000000000000000000000022−22000000000000000000022−22000000000
χ564-44-44400-4-4-4-444400-4-4400000000000000000000000000000−22220000000000000000000−2222000000000
χ574-44-44-200-422-44-2-20022-20000000000000000i6−i6i6−i6i6−i600000−2i32i322−220000000000000000000−22000000000
χ584-44-44-200-422-44-2-20022-20000000000000000i6−i6i6−i6i6−i6000002i3−2i3−222200000000000000000002−2000000000
χ594-44-44-200-422-44-2-20022-20000000000000000−i6i6−i6i6−i6i600000−2i32i3−222200000000000000000002−2000000000
χ604-44-44-200-422-44-2-20022-20000000000000000−i6i6−i6i6−i6i6000002i3−2i322−220000000000000000000−22000000000
χ614-4-4444-44-4-444-4-4400-44-4-4-444000000004-400000000000000000000000000000000000000000000000
χ624-4-444-24-4-42-24-42-24i−4i2-22-242-400004i−4i−2i2i2-20000000000000000000−2i2i00000000000000000000000000
χ634-4-444-24-4-42-24-42-2−4i4i2-22-242-40000−4i4i2i−2i2-200000000000000000002i−2i00000000000000000000000000
χ644-4-444-2-44-42-24-42-2002-222-4-2400000000-220000000000000000000000000000000023−230000000000000
χ654-4-444-2-44-42-24-42-2002-222-4-2400000000-2200000000000000000000000000000000−23230000000000000
χ664-4-44-244-42-44-22-4-24i−4i2-224-2-420000−2i2i4i−4i2-20000000000000000000−2i2i00000000000000000000000000
χ674-4-44-244-42-44-22-4-2−4i4i2-224-2-4200002i−2i−4i4i2-200000000000000000002i−2i00000000000000000000000000
χ684-4-44-24-442-44-22-4-2002-22-424-200000000-2200000000000000000000000000000023−23000000000000000
χ694-4-44-24-442-44-22-4-2002-22-424-200000000-22000000000000000000000000000000−2323000000000000000
χ704-4-44-2-24-422-2-22214i−4i-11-1-2-2220000−2i2i−2i2i-1100003-3-3300000000000i−i3i−3i000000000000000000000000
χ714-4-44-2-24-422-2-22214i−4i-11-1-2-2220000−2i2i−2i2i-110000-333-300000000000i−i−3i3i000000000000000000000000
χ724-4-44-2-24-422-2-2221−4i4i-11-1-2-22200002i−2i2i−2i-1100003-3-3300000000000−ii−3i3i000000000000000000000000
χ734-4-44-2-24-422-2-2221−4i4i-11-1-2-22200002i−2i2i−2i-110000-333-300000000000−ii3i−3i000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-88-4008-44-8-84-400-4440000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-4-444442002-2-2000000000000002i6−2i600−i6−i6i6i6000000000000000000000000000000000000000
χ7788-8-8-4-400-4-444442002-2-200000000000000−2i62i600i6i6−i6−i6000000000000000000000000000000000000000
χ788-88-8-48004-8-84-48-40044-40000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004444-4-4200-2-2200000000000000002i6−2i6−i6i6−i6i6000000000000000000000000000000000000000
χ808-88-8-4-4004444-4-4200-2-220000000000000000−2i62i6i6−i6i6−i6000000000000000000000000000000000000000
χ818-8-88-4-4-8844-4-444200-22-244-4-4000000002-200000000000000000000000000000000000000000000000

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