Finite Group Databasebeta

← Group #11884619

Character table — Group #11884619

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444446688888888881212121212121212121212121216161616161616162424242424242424243636363636364848484872
order1222334466666636668812121212242424244444121224242424242424466881212242424241212121212121212244481212242422244461212128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1
χ3111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1-1-11
χ4111111111111111111111111111111-1-1111111111-1-11111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111-11111-1-1-1
χ51111111111111111111111111111-1-11111111111-111-1-1-1-1-1-1-1-1-1-1111111111-1-1111111-1-1-1-1-1-111-1-1-1
χ61111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ71111111111111111111111111111-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111-111-111-1-111-1
χ81111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11-1-111111
χ9111111111111111111-1-11111-1-1-1-1111-111-1-1-1-1-1-111111-1-111-1-1-1-11-11-111-1-111-1-1-111-1-11-1-11111-11-1-1
χ10111111111111111111-1-11111-1-1-1-1111-111-1-1-1-1-1-11-1-111-1-111-1-1-1-11-11-111-1-1-11-111-1-111-111-1-1-1-111-11
χ11111111111111111111-1-11111-1-1-1-111-1111-1-1-1-1-1-111111-1-111-1-1-1-1-11-11-1-111-1-111-111-1-11111-1-1-11-11-1
χ12111111111111111111-1-11111-1-1-1-111-1111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-11-11-1-1111-11-11-1-111-1-1-1-1111-1-111
χ13111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-111-1-111-1-111111-11-111-1-11-11-1-111-1-1-111-1-1-11-1-111
χ14111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-111-1-1-1-1111-1-1111-1-1111-11-11-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-11111-11-11-1-111-11-11-111-1-1-1-1-1-111-111-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-11-1-11111-1-11-1-1111111-1-11-11-1-1
χ17222222-2-2222222222200-2-2-2-200002200-2-2000000-22-2-2-20022000000000000000002-200200-20000000
χ18222222-2-2222222222200-2-2-2-200002200-2-2000000-2-22-2-2002200000000000000000-2200-20020000000
χ19222222-2-2222222222200-2-2-2-20000-2-200-2-200000022-22200-2-2000000000000000002-200-20020000000
χ20222222-2-2222222222200-2-2-2-20000-2-200-2-20000002-222200-2-200000000000000000-2200200-20000000
χ2122222-1222-1-12-12-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1022000000000022-1-1-1-1-1-120022-1-1-1-1000000-1-1000
χ2222222-1222-1-12-12-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-10-2-2000000000022-1-1-1-1-1-1-200-2-2111100000011000
χ2322222-1222-1-12-12-1-1-1-1222-1-12222200-2-2-1-1-1-1-1-1-1-10220000000000-2-2111111-200-22-1-1-1-100000011000
χ2422222-1222-1-12-12-1-1-1-1222-1-12222200-2-2-1-1-1-1-1-1-1-10-2-20000000000-2-21111112002-21111000000-1-1000
χ2522222-1222-1-12-12-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-111111102200000000002-2-11-1-111200-2-2-1-111000000-11000
χ2622222-1222-1-12-12-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-11111110-2-200000000002-2-11-1-111-2002211-1-10000001-1000
χ2722222-1222-1-12-12-1-1-1-1-2-22-1-12-2-2-2-200-22-1-11111110220000000000-221-111-1-1-2002-2-1-1110000001-1000
χ2822222-1222-1-12-12-1-1-1-1-2-22-1-12-2-2-2-200-22-1-11111110-2-20000000000-221-111-1-1200-2211-1-1000000-11000
χ292222-1222-122-12-1-1-1-1-122-122-1-1-1-1-12222-1-122-1-1-1-1200-1-122-1-1-1-1-1-1-1-122-1-1-1-102200000000000000-1-10
χ302222-1222-122-12-1-1-1-1-122-122-1-1-1-1-122-2-2-1-122-1-1-1-1200-1-122-1-1-1-1-1-111-2-211110-2-200000000000000110
χ312222-1222-122-12-1-1-1-1-122-122-1-1-1-1-1-2-222-1-122-1-1-1-1-20011-2-2111111-1-122-1-1-1-10-2-200000000000000110
χ322222-1222-122-12-1-1-1-1-122-122-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-20011-2-211111111-2-2111102200000000000000-1-10
χ332222-1222-122-12-1-1-1-1-1-2-2-122-11111222-2-1-1-2-21111200-1-1-2-2-1-11111-112-2-1-11102-200000000000000-110
χ342222-1222-122-12-1-1-1-1-1-2-2-122-1111122-22-1-1-2-21111200-1-1-2-2-1-111111-1-2211-1-10-22000000000000001-10
χ352222-1222-122-12-1-1-1-1-1-2-2-122-11111-2-22-2-1-1-2-21111-200112211-1-1-1-1-112-2-1-1110-22000000000000001-10
χ362222-1222-122-12-1-1-1-1-1-2-2-122-11111-2-2-22-1-1-2-21111-200112211-1-1-1-11-1-2211-1-102-200000000000000-110
χ372-2-2222-22-2-2-222-22-2-222-2-22-2222-2-20000-222-222-2-200000000000000000000000000000002-202-200000
χ382-2-2222-22-2-2-222-22-2-222-2-22-2222-2-20000-222-222-2-20000000000000000000000000000000-220-2200000
χ392-2-2222-22-2-2-222-22-2-22-22-22-22-2-2220000-22-22-2-22200000000000000000000000000000002-20-2200000
χ402-2-2222-22-2-2-222-22-2-22-22-22-22-2-2220000-22-22-2-2220000000000000000000000000000000-2202-200000
χ4144444-2-4-44-2-24-24-2-2-2-200-422-4000000002200000004-400000000000000000000000-220000000000000
χ4244444-2-4-44-2-24-24-2-2-2-200-422-400000000220000000-44000000000000000000000002-20000000000000
χ434444-24-4-4-244-24-2-2-2-2-2002-4-420000440022000000-4002200-2-200000000000000000000000000000000
χ444444-24-4-4-244-24-2-2-2-2-2002-4-420000-4-40022000000400-2-2002200000000000000000000000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2004411-2-211110000000000000-2-2-2-2111100000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-411-2-2111100000000000002222-1-1-1-100000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-41122-1-1-1-10000000000000-22-2211-1-100000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-441122-1-1-1-100000000000002-22-2-1-11100000000000000000000
χ4944-4-4440044-4-4-4-444-4-400000000000000000000000000022−22002222−22−220000000000000000000000000000
χ5044-4-4440044-4-4-4-444-4-4000000000000000000000000000−222200−22−2222220000000000000000000000000000
χ5144-4-4-2400-24-42-42-2-222000000i6−i6i6−i600000000i6−i6i6−i6000−2i32i322−2200−2−2220000000000000000000000000000
χ5244-4-4-2400-24-42-42-2-222000000i6−i6i6−i600000000i6−i6i6−i60002i3−2i3−22220022−2−20000000000000000000000000000
χ5344-4-4-2400-24-42-42-2-222000000−i6i6−i6i600000000−i6i6−i6i6000−2i32i3−22220022−2−20000000000000000000000000000
χ5444-4-4-2400-24-42-42-2-222000000−i6i6−i6i600000000−i6i6−i6i60002i3−2i322−2200−2−2220000000000000000000000000000
χ554-44-44400-4-44-4-444-44-400000000004i−4i000000000000000004i−4i00000000000000000000000000000000
χ564-44-44400-4-44-4-444-44-40000000000−4i4i00000000000000000−4i4i00000000000000000000000000000000
χ574-44-4-24002-442-4-2-22-22000000i6−i6−i6i64i−4i000000i6−i6−i6i60000000−2i2i6−66−60000000000000000000000000000
χ584-44-4-24002-442-4-2-22-22000000i6−i6−i6i6−4i4i000000i6−i6−i6i600000002i−2i−66−660000000000000000000000000000
χ594-44-4-24002-442-4-2-22-22000000−i6i6i6−i64i−4i000000−i6i6i6−i60000000−2i2i−66−660000000000000000000000000000
χ604-44-4-24002-442-4-2-22-22000000−i6i6i6−i6−4i4i000000−i6i6i6−i600000002i−2i6−66−60000000000000000000000000000
χ614-4-44444-4-4-4-444-44-4-44004-44-4000000004-400000000000000000000000000000000000000000000000
χ624-4-444-24-4-4224-2-4-222-20042-2-400000000-220000000000000000000000000000000000−2i32i300000000000
χ634-4-444-24-4-4224-2-4-222-20042-2-400000000-2200000000000000000000000000000000002i3−2i300000000000
χ644-4-444-2-44-4224-2-4-222-24-4-4-22444-4-400002-2-22-2-22200000000000000000000000000000000000000000
χ654-4-444-2-44-4224-2-4-222-2-44-4-224-4-44400002-22-222-2-200000000000000000000000000000000000000000
χ664-4-44-244-42-4-4-242-222-200-2-44200000000-2200000000000000023−23−23230000000000000000000000000000
χ674-4-44-244-42-4-4-242-222-200-2-44200000000-22000000000000000−232323−230000000000000000000000000000
χ684-4-44-24-442-4-4-242-222-24-424-4-2-2-22200002-24-4-2-22200000000000000000000000000000000000000000
χ694-4-44-24-442-4-4-242-222-2-4424-4-222-2-200002-2-4422-2-200000000000000000000000000000000000000000
χ704-4-44-2-2-44222-2-221-1-114-42-22-2-2-2220000-11-2211-1-1000000000000000003-33-300000000000000000000
χ714-4-44-2-2-44222-2-221-1-114-42-22-2-2-2220000-11-2211-1-100000000000000000-33-3300000000000000000000
χ724-4-44-2-2-44222-2-221-1-11-442-22-222-2-20000-112-2-1-111000000000000000003-3-3300000000000000000000
χ734-4-44-2-2-44222-2-221-1-11-442-22-222-2-20000-112-2-1-11100000000000000000-333-300000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-4222200444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-88-4008-44-84-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-4-4444422-2-20000002i6−2i62i6−2i600000000−i6i6−i6i600000000000000000000000000000000000000000
χ7788-8-8-4-400-4-4444422-2-2000000−2i62i6−2i62i600000000i6−i6i6−i600000000000000000000000000000000000000000
χ788-88-88-400-84-4-848-44-44000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-40044-444-42-22-20000002i6−2i6−2i62i600000000−i6i6i6−i600000000000000000000000000000000000000000
χ808-88-8-4-40044-444-42-22-2000000−2i62i62i6−2i600000000i6−i6−i6i600000000000000000000000000000000000000000
χ818-8-88-4-48-8444-4-442-2-2200-44-44000000002-200000000000000000000000000000000000000000000000

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