Finite Group Databasebeta

← Group #11884033

Character table — Group #11884033

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466888888888888121212121212121212121212121212121216161616161616242424242424242424363636364848487272
order1222334466666636668812121212242424242224121212122424242424242244466881212121224242424666612121224466812242424446121228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1
χ3111111111111111111111111111111-1-1-1-11111111111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-11-11-1
χ4111111111111111111111111111111-1-1-1-111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-11
χ51111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-111-1-1-1-11111111-1-11111111-1-1-1-1-11-1-1-1
χ61111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-1-11111-11
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-111-11-111-1
χ9111111111111111111-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-111-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11-1111-111-1-1-1-1-1-1111
χ10111111111111111111-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-111-1-1-11-1-11111-111-1-1
χ11111111111111111111-1-11111-1-1-1-111-111111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111-1-111-11-1-11-1-111-1-11-1
χ12111111111111111111-1-11111-1-1-1-111-111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-11-111-111-111-1-11
χ13111111111111111111-1-11111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111111111-1-1-11-1-1111-11111111-1-1-1-1
χ14111111111111111111-1-11111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-111-1-1-111-1-11111111111-1-1-11-11-1-1-11-1-1-1-1-1-111-111
χ15111111111111111111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-111-1-1111111-1-1-1-1111-11-111-11-1-1-111-1-1-11-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-111-1-11-1111-1-11-1111-1
χ17222222-2-2222222222200-2-2-2-20000220000-2-2000000002-2-22200-2-2-2-200000000000000000200-200200000
χ18222222-2-2222222222200-2-2-2-20000220000-2-200000000-22-22200-2-22200000000000000000-200200-200000
χ19222222-2-2222222222200-2-2-2-20000-2-20000-2-2000000002-22-2-20022-2-200000000000000000200200-200000
χ20222222-2-2222222222200-2-2-2-20000-2-20000-2-200000000-222-2-200222200000000000000000-200-200200000
χ2122222-122-12-122-1-1-1-1-122-12-12-1-1-1-1222222-1-122-1-1-1-100002-1-122-1-100-1-1-1-12-1-1-1-1-1-12200000000000-10-100
χ2222222-122-12-122-1-1-1-1-122-12-12-1-1-1-122-2-2-2-2-1-122-1-1-1-100002-1-122-1-100-1-1-1-1-2111111-2-20000000000010100
χ2322222-122-12-122-1-1-1-1-122-12-12-1-1-1-1-2-22222-1-122-1-1-1-10000-211-2-2110011112-1-1-1-1-1-1-2-20000000000010100
χ2422222-122-12-122-1-1-1-1-122-12-12-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-10000-211-2-211001111-21111112200000000000-10-100
χ2522222-122-12-122-1-1-1-1-1-2-2-12-121111222-2-2-2-1-1-2-2111100002-1-1-2-2-1-10011112-1-1-1111-220000000000010-100
χ2622222-122-12-122-1-1-1-1-1-2-2-12-12111122-2222-1-1-2-2111100002-1-1-2-2-1-1001111-2111-1-1-12-200000000000-10100
χ2722222-122-12-122-1-1-1-1-1-2-2-12-121111-2-22-2-2-2-1-1-2-211110000-211221100-1-1-1-12-1-1-11112-200000000000-10100
χ2822222-122-12-122-1-1-1-1-1-2-2-12-121111-2-2-2222-1-1-2-211110000-211221100-1-1-1-1-2111-1-1-1-220000000000010-100
χ292222-12222-12-1-12-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-1-1-122220000000-1-10000-12-1-12-1-1002-1-12-1-1-100000-1000
χ302222-12222-12-1-12-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000110000-12-1-12-1-100-211-2111000001000
χ312222-12222-12-1-12-1-1-1-1222-12-1222200-2-211-1-1-1-1-1-1-1-122-2-200000001100001-211-211002-1-1-211100000-1000
χ322222-12222-12-1-12-1-1-1-1222-12-1222200-2-211-1-1-1-1-1-1-1-1-2-2220000000-1-100001-211-21100-2112-1-1-1000001000
χ332222-12222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-2002-211-1-111111122-2-20000000110000-12-1-1-21100-2-1-121-1-1000001000
χ342222-12222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-2002-211-1-1111111-2-2220000000-1-10000-12-1-1-21100211-2-11100000-1000
χ352222-12222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-200-22-1-1-1-111111122220000000-1-100001-2112-1-100-2-1-1-2-111000001000
χ362222-12222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-200-22-1-1-1-1111111-2-2-2-200000001100001-2112-1-10021121-1-100000-1000
χ372-2-22222-2-2-22-22-22-22-200-2-2220000000000-220000002-2000002-2000022-2-200000000002-2000002-2000000
χ382-2-22222-2-2-22-22-22-22-200-2-2220000000000-220000002-200000-220000-2-22200000000002-200000-22000000
χ392-2-22222-2-2-22-22-22-22-200-2-2220000000000-22000000-22000002-2000022-2-20000000000-2200000-22000000
χ402-2-22222-2-2-22-22-22-22-200-2-2220000000000-22000000-2200000-220000-2-2220000000000-22000002-2000000
χ4144444-2-4-4-24-244-2-2-2-2-2002-42-40000440000220000000000-4-2-200220000000000000000000000000000000
χ4244444-2-4-4-24-244-2-2-2-2-2002-42-40000-4-4000022000000000042200-2-20000000000000000000000000000000
χ434444-24-4-44-24-2-24-2-2-2-200-42-42000000000022000000004-400000002200000000000000000-200000000000
χ444444-24-4-44-24-2-24-2-2-2-200-42-4200000000002200000000-440000000-2-200000000000000000200000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-211-2-2111100000000000000000-2-211-211000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-42211-2-211110000000000000000022-1-12-1-1000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4221122-1-1-1-100000000000000000-2-2112-1-1000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-44-2-21122-1-1-1-10000000000000000022-1-1-211000000000000000000
χ4944-4-4440044-4-4-4-444-4-4−2i22i20000−2i2−2i22i22i200000000−2i22i2−2i2−2i22i22i2000000000000000000000000000000000000000000
χ5044-4-4440044-4-4-4-444-4-42i2−2i200002i22i2−2i2−2i2000000002i2−2i22i22i2−2i2−2i2000000000000000000000000000000000000000000
χ5144-4-44-200-242-4-42-2-222−2i22i20000i2i2−i2−i200000000−2i22i2i2i2−i2−i200000000023−2300i6−i6i6−i60000000000000000000000000
χ5244-4-44-200-242-4-42-2-222−2i22i20000i2i2−i2−i200000000−2i22i2i2i2−i2−i2000000000−232300−i6i6−i6i60000000000000000000000000
χ5344-4-44-200-242-4-42-2-2222i2−2i20000−i2−i2i2i2000000002i2−2i2−i2−i2i2i200000000023−2300−i6i6−i6i60000000000000000000000000
χ5444-4-44-200-242-4-42-2-2222i2−2i20000−i2−i2i2i2000000002i2−2i2−i2−i2i2i2000000000−232300i6−i6i6−i60000000000000000000000000
χ5544-4-4-24004-2-422-4-2-222−2i22i20000−2i2−2i22i22i200000000i2−i2i2i2−i2−i20000000000023−23000000000000000000i6−i6000000000
χ5644-4-4-24004-2-422-4-2-222−2i22i20000−2i2−2i22i22i200000000i2−i2i2i2−i2−i200000000000−2323000000000000000000−i6i6000000000
χ5744-4-4-24004-2-422-4-2-2222i2−2i200002i22i2−2i2−2i200000000−i2i2−i2−i2i2i20000000000023−23000000000000000000−i6i6000000000
χ5844-4-4-24004-2-422-4-2-2222i2−2i200002i22i2−2i2−2i200000000−i2i2−i2−i2i2i200000000000−2323000000000000000000i6−i6000000000
χ594-44-44400-4-4-44-444-4-4400000000004-4000000000000000004-400000000000000000000000000000000000
χ604-44-44400-4-4-44-444-4-440000000000-4400000000000000000-4400000000000000000000000000000000000
χ614-44-44-2002-424-4-2-222-2000000i6−i6i6−i64-400000000i6−i6i6−i600000-22000000i6−i6−i6i60000000000000000000000000
χ624-44-44-2002-424-4-2-222-2000000i6−i6i6−i6-4400000000i6−i6i6−i6000002-2000000−i6i6i6−i60000000000000000000000000
χ634-44-44-2002-424-4-2-222-2000000−i6i6−i6i64-400000000−i6i6−i6i600000-22000000−i6i6i6−i60000000000000000000000000
χ644-44-44-2002-424-4-2-222-2000000−i6i6−i6i6-4400000000−i6i6−i6i6000002-2000000i6−i6−i6i60000000000000000000000000
χ654-4-4444-44-4-44-44-44-44-40044-4-400000000004-4000000000000000000000000000000000000000000000000
χ664-4-444-24-42-4-2-442-22-22002-4-2400000000002-200000000000004-40000-2-2220000000000000000000000000
χ674-4-444-24-42-4-2-442-22-22002-4-2400000000002-20000000000000-44000022-2-20000000000000000000000000
χ684-4-444-2-442-4-2-442-22-2200-242-423−23−2323000000-220023−23−2323000000000000000000000000000000000000000000
χ694-4-444-2-442-4-2-442-22-2200-242-4−232323−23000000-2200−232323−23000000000000000000000000000000000000000000
χ704-4-44-244-4-4242-2-4-22-2200-424-200000000002-20000004-40000000000000000000000000-220000000000000
χ714-4-44-244-4-4242-2-4-22-2200-424-200000000002-2000000-4400000000000000000000000002-20000000000000
χ724-4-44-24-44-4242-2-4-22-22004-2-420000000023−23-22000000000000000000000000000023−23000000000000000000
χ734-4-44-24-44-4242-2-4-22-22004-2-4200000000−2323-220000000000000000000000000000−2323000000000000000000
χ744-4-44-2-2-4422-22-221-11-100-2-22223−23−2323000023−231-100−333−300000000000000000003-30−33000000000000000000
χ754-4-44-2-2-4422-22-221-11-100-2-22223−23−23230000−23231-100−333−30000000000000000000-3303−3000000000000000000
χ764-4-44-2-2-4422-22-221-11-100-2-222−232323−23000023−231-1003−3−330000000000000000000-330−33000000000000000000
χ774-4-44-2-2-4422-22-221-11-100-2-222−232323−230000−23231-1003−3−3300000000000000000003-303−3000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-4-4444422-2-2−4i24i200002i22i2−2i2−2i2000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ8088-8-8-4-400-4-4444422-2-24i2−4i20000−2i2−2i22i22i200000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ818-88-8-4800-84-8-448-444-4000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400444-44-42-2-220000002i6−2i62i6−2i60000000000−i6i6−i6i6000000000000000000000000000000000000000000
χ838-88-8-4-400444-44-42-2-22000000−2i62i6−2i62i60000000000i6−i6i6−i6000000000000000000000000000000000000000000
χ848-8-88-4-48-844-44-442-22-20044-4-40000000000-22000000000000000000000000000000000000000000000000

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