Finite Group Databasebeta

← Group #11895883

Character table — Group #11895883

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444466888888888888888121212121212121212161616161616162424242424242424242424242436363636363648484872
order12223344666666366612121212442466812122424242424242424444448812126661212121244481212121212242424242244881212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-111-1-1-1111111111-11-111-1-111-1-111-1-1-1-1-1-1-1-11-1
χ31111111111111111111111111-111-111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-11-1-1-111111-1-1-1-1-1-111-1-11-1-11
χ41111111111111111111111111-111-111-1-1-1-1-1-1-1-11-111-11111111-1-1-1-1-1-11-11-1-11111-1-111-1-111-11-1-1
χ5111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-111-1-11-1-111-1-1-11111-111-1111-1-1-1-1-1-11111-1-1-111-1
χ6111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1111-111
χ7111111111111111111111111-1-1-1-11111111111111-1-111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1
χ8111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1111-1-1-1-1-1-11111-1-1-1-111-11
χ91111111111111111111111-1-1111111111111111-11-1-1111-1-111111111-11-1-111-1-111-1-1-1-1-1-1-1-111-1-1
χ101111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11
χ111111111111111111111111-1-11-111-111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111-1-1-1-111-11-111-1-1-1-11111-1-1111-11-1
χ121111111111111111111111-1-11-111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1111-1-1-1-1-11111-1-111-1-1-1111
χ131111111111111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-111-11111-1-111-1-1-1-111-11-11
χ141111111111111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-111111-1-11-1-1-11111111111-1-11-1-1-1
χ151111111111111111111111-1-1-1-1-1-111111111111-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-111-1-1-1-1-1-111
χ161111111111111111111111-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111111-1
χ17222222-2-22222222222-2-2-2-22200000-2-200000000-2200-2002200000000000-22-2000000002-2000000
χ18222222-2-22222222222-2-2-2-22200000-2-200000000-2-2002002200000000000-2-2200000000-22000000
χ19222222-2-22222222222-2-2-2-2-2-200000-2-2000000002200-200-2-20000000000022-200000000-22000000
χ20222222-2-22222222222-2-2-2-2-2-200000-2-2000000002-200200-2-2000000000002-22000000002-2000000
χ2122222-12222-1-1-12-1-1-1-12-1-120022222-1-1-1-122-1-1-1-1020022200-1-1-1-12-1-120200-1-100-1-100000000-1-100
χ2222222-12222-1-1-12-1-1-1-12-1-120022222-1-1-1-122-1-1-1-10-200-2-2-200-1-1-1-12-1-1-20-200110011000000001100
χ2322222-12222-1-1-12-1-1-1-12-1-12002-222-2-1-111-2-2111102002-2-200-1-1-11-21120-200-1-1001100000000-1100
χ2422222-12222-1-1-12-1-1-1-12-1-12002-222-2-1-111-2-211110-200-22200-1-1-11-211-202001100-1-1000000001-100
χ2522222-12222-1-1-12-1-1-1-12-1-1200-22-2-2-2-1-111-2-2111102002-2-200111-12-1-1-20200-1-10011000000001-100
χ2622222-12222-1-1-12-1-1-1-12-1-1200-22-2-2-2-1-111-2-211110-200-22200111-12-1-120-2001100-1-100000000-1100
χ2722222-12222-1-1-12-1-1-1-12-1-1200-2-2-2-22-1-1-1-122-1-1-1-10200222001111-211-20-200-1-100-1-1000000001100
χ2822222-12222-1-1-12-1-1-1-12-1-1200-2-2-2-22-1-1-1-122-1-1-1-10-200-2-2-2001111-2112020011001100000000-1-100
χ292222-1222-1-1222-1-1-1-1-1-122-12222-1-12-1-122-1-1-1-1-1-12022000-1-12-1-12-1-1-10202-100-1-100-1-100000000-10
χ302222-1222-1-1222-1-1-1-1-1-122-1222-2-1-1-2-1-1-2-21111112022000-1-12-1-1-21110-20-2-100-1-100110000000010
χ312222-1222-1-1222-1-1-1-1-1-122-122-2211-2-1-1-2-211111120-2-2000-1-1-2112-1-1-1020-2-10011001100000000-10
χ322222-1222-1-1222-1-1-1-1-1-122-122-2-2112-1-122-1-1-1-1-1-120-2-2000-1-1-211-21110-202-1001100-1-10000000010
χ332222-1222-1-1222-1-1-1-1-1-122-1-2-222-1-12-1-122-1-1-1-1-1-1-20-2-2000112-1-12-1-1-10-20-21001100110000000010
χ342222-1222-1-1222-1-1-1-1-1-122-1-2-22-2-1-1-2-1-1-2-2111111-20-2-2000112-1-1-211102021001100-1-100000000-10
χ352222-1222-1-1222-1-1-1-1-1-122-1-2-2-2211-2-1-1-2-2111111-202200011-2112-1-1-10-202100-1-100-1-10000000010
χ362222-1222-1-1222-1-1-1-1-1-122-1-2-2-2-2112-1-122-1-1-1-1-1-1-202200011-211-2111020-2100-1-1001100000000-10
χ372-22-222-222-2-22-2-22-22-2-22-220000000-2200000000002i−2i02i−2i00000000000000002i−2i2i−2i002-200000000
χ382-22-222-222-2-22-2-22-22-2-22-220000000-2200000000002i−2i0−2i2i00000000000000002i−2i−2i2i00-2200000000
χ392-22-222-222-2-22-2-22-22-2-22-220000000-220000000000−2i2i02i−2i0000000000000000−2i2i2i−2i00-2200000000
χ402-22-222-222-2-22-2-22-22-2-22-220000000-220000000000−2i2i0−2i2i0000000000000000−2i2i−2i2i002-200000000
χ4144444-2-4-444-2-2-24-2-2-2-2-422-4000000022000000000400-40000000000000000-220000000000000000
χ4244444-2-4-444-2-2-24-2-2-2-2-422-4000000022000000000-400400000000000000002-20000000000000000
χ434444-24-4-4-2-2444-2-2-2-2-22-4-4244000002200000000-4000000-2-2000000000002000000000000000000
χ444444-24-4-4-2-2444-2-2-2-2-22-4-42-4-400000220000000040000002200000000000-2000000000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-20044-2-2411-2-2-2-21111000000000-211-2-21100000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-2-2-4112222-1-1-1-1000000000-21122-1-100000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-4422-4112222-1-1-1-10000000002-1-1-2-21100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-422411-2-2-2-211110000000002-1-122-1-100000000000000000000000
χ4944-4-44400-444-4-4-444-4-400000000000000000000000000000000000000000000000000000022−220000
χ5044-4-44400-444-4-4-444-4-4000000000000000000000000000000000000000000000000000000−22220000
χ514-44-4444-44-4-44-4-44-44-44-44-400000004-400000000000000000000000000000000000000000000000
χ524-44-44-24-44-42-22-4-22-2242-2-40000000-2223−23002323−23−23000000000000000000000000000000000000000
χ534-44-44-24-44-42-22-4-22-2242-2-40000000-22−232300−23−232323000000000000000000000000000000000000000
χ544-44-44-2-444-42-22-4-22-22-4-22400000002-200000000000004i−4i000000000000000000−2i2i000000000000
χ554-44-44-2-444-42-22-4-22-22-4-22400000002-20000000000000−4i4i0000000000000000002i−2i000000000000
χ564-44-4-244-4-22-44-42-22-22-2-4420000−2i32i30-22000000000000000000−2i32i3000000000000000000000000000
χ574-44-4-244-4-22-44-42-22-22-2-44200002i3−2i30-220000000000000000002i3−2i3000000000000000000000000000
χ584-44-4-24-44-22-44-42-22-2224-4-200000002-200000000004i−4i0000000000000000000−2i2i00000000000000
χ594-44-4-24-44-22-44-42-22-2224-4-200000002-20000000000−4i4i00000000000000000002i−2i00000000000000
χ604-44-4-2-24-4-222-2221-11-1-22-220000−2i32i301-123−2300−3−3330000000000i3−i3003i−3i00000000000000000000000
χ614-44-4-2-24-4-222-2221-11-1-22-220000−2i32i301-1−23230033−3−30000000000i3−i300−3i3i00000000000000000000000
χ624-44-4-2-24-4-222-2221-11-1-22-2200002i3−2i301-123−2300−3−3330000000000−i3i300−3i3i00000000000000000000000
χ634-44-4-2-24-4-222-2221-11-1-22-2200002i3−2i301-1−23230033−3−30000000000−i3i3003i−3i00000000000000000000000
χ644-4-444400-4-4-4-4444-4-4400004-400000000000000000000004-4000000000000000000000000000000
χ654-4-444400-4-4-4-4444-4-440000-440000000000000000000000-44000000000000000000000000000000
χ664-4-44-240022-4-44-2-222-200004-4000000000i6−i6i6−i6i6−i60000000-22000000000000000000i6−i60000000000
χ674-4-44-240022-4-44-2-222-200004-4000000000−i6i6−i6i6−i6i60000000-22000000000000000000−i6i60000000000
χ684-4-44-240022-4-44-2-222-20000-44000000000i6−i6i6−i6i6−i600000002-2000000000000000000−i6i60000000000
χ694-4-44-240022-4-44-2-222-20000-44000000000−i6i6−i6i6−i6i600000002-2000000000000000000i6−i60000000000
χ708888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7188-8-88-400-88-444-8-4-444000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-48004-48-8-84-4-444000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-4004-4-444422-2-200000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ7488-8-8-4-4004-4-444422-2-2000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ758-88-8-4-4-88-444-4442-22-24-44-40000000-2200000000000000000000000000000000000000000000000
χ768-8-888-400-8-844-48-444-4000000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-4004444-4-42-2-220000000000000002i6−2i6−i6i6−i6i6000000000000000000000000000000000000000
χ788-8-88-4-4004444-4-42-2-22000000000000000−2i62i6i6−i6i6−i6000000000000000000000000000000000000000

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