Finite Group Databasebeta

← Group #11886708

Character table — Group #11886708

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size112222222224444444444444888888888888888121212121212121212121212161616161616242424242424242424242424242436364848727272
order122334466663666688121212122424441212121212122424242424242422244466881212121212121212244668121212122424242424612888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-111111111-1-1-1111-1-111-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111111-1-1-111-1-111-1-1-1-111-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ5111111111111111111111111-1-1-1-1-1-111111111111-111-1-1-111-1-1-1-1-1-1-1-1-1-1111-1111111-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-1-1-111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111-1-1-1-111111-1-1
χ7111111111111111111111111-1-1-1-1-1-1111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-1111-1-1111111-1-11-1-1
χ8111111111111111111111111-1-1-1-1-1-1111111111-1-11-1-1111-1-111-1-1-1-1-1-111-1-1-11-1-1-1-1-1-111-1-111-111
χ91111111111111111-1-11111-1-11-111-1-111-1-1-1-1-1-1-11-111-111111111-111-1-11-1-11-1-1-1-11-111-1-1111-1-11-1
χ101111111111111111-1-11111-1-11-111-1-111-1-1-1-1-1-1-11-111-1111-1-1111-111-1-1-1111-1-1111-1-1-1-1-1-1-1-111-11
χ111111111111111111-1-11111-1-11-111-1-111-1-1-1-1-1-1-1-11-1-11-1-1-111-1-11-111-1-11-1-1-111-1-1-111111-1-11-11-11
χ121111111111111111-1-11111-1-11-111-1-111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-11-111-1-1-111-11111-11-1-11111-11-11-1
χ131111111111111111-1-11111-1-1-11-1-11111-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-11-1-111-11-11-11-1-11-11111-1-1-1111-1
χ141111111111111111-1-11111-1-1-11-1-11111-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-11-1-1111-111-11111-1-1-111111-1-1-11
χ151111111111111111-1-11111-1-1-11-1-11111-1-1-1-1-1-1-1-111-111111111-11-1-111-11-1-11-1-1-1-1111-1-111-11-1-11
χ161111111111111111-1-11111-1-1-11-1-11111-1-1-1-1-1-1-1-111-11111-1-111-11-1-1111-11-11-111-11-1-1-1-1-1-11-111-1
χ172222-122222-1-1-1-1-1-122-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1222222-1-100-1-122-1-1-1-1000-1-1200-1-100-1-10000000
χ182222-122222-1-1-1-1-1-122-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-2-2-2-2-2-211001122-1-1-1-100011-2001100110000000
χ192222-122222-1-1-1-1-1-122-122-1-1-1-2-21111-1-122-1-1-1-1-122-222-2110011-2-21111000-1-1-200-1-100110000000
χ202222-122222-1-1-1-1-1-122-122-1-1-1-2-21111-1-122-1-1-1-1-1-2-22-2-22-1-100-1-1-2-21111000112001100-1-10000000
χ212222-122222-1-1-1-1-1-1-2-2-122-1112-2-1-111-1-1-2-2111112-222-22-1-100-1-12-2-1-111000-11-200-1100110000000
χ222222-122222-1-1-1-1-1-1-2-2-122-1112-2-1-111-1-1-2-211111-22-2-22-21100112-2-1-1110001-12001-100-1-10000000
χ232222-122222-1-1-1-1-1-1-2-2-122-111-2211-1-1-1-1-2-2111112-2-22-2-2110011-2211-1-1000-11200-1100-1-10000000
χ242222-122222-1-1-1-1-1-1-2-2-122-111-2211-1-1-1-1-2-211111-222-222-1-100-1-1-2211-1-10001-1-2001-100110000000
χ25222-1222-1-1-12-12-1-1-1222-1-1222222222-1-1-1-12-1-1-1-1000000002200-1-1-1-1-1-1222000-1-100-1-10000-1-1000
χ26222-1222-1-1-12-12-1-1-1222-1-1222222222-1-1-1-12-1-1-1-100000000-2-200-1-1-1-1-1-1-2-2-2000110011000011000
χ27222-1222-1-1-12-12-1-1-1222-1-1222-2-2-2-2-2-2-1-1-1-12-1-1-1-1000000002200111111-2-22000-1-100-1-1000011000
χ28222-1222-1-1-12-12-1-1-1222-1-1222-2-2-2-2-2-2-1-1-1-12-1-1-1-100000000-2-20011111122-20001100110000-1-1000
χ29222-1222-1-1-12-12-1-1-1-2-22-1-12-2-22-222-2-2-1-111-21111000000002200-11-1-1112-2-20001100-1-10000-11000
χ30222-1222-1-1-12-12-1-1-1-2-22-1-12-2-22-222-2-2-1-111-2111100000000-2-200-11-1-111-222000-1-1001100001-1000
χ31222-1222-1-1-12-12-1-1-1-2-22-1-12-2-2-22-2-222-1-111-211110000000022001-111-1-1-22-20001100-1-100001-1000
χ32222-1222-1-1-12-12-1-1-1-2-22-1-12-2-2-22-2-222-1-111-2111100000000-2-2001-111-1-12-22000-1-100110000-11000
χ3322-2222-2-2-2222-2-2-222-2-22-2222000000-222-2-222-2-2220-2-2000000000000000022000-2-200000000000
χ3422-2222-2-2-2222-2-2-222-2-22-2222000000-222-2-222-2-2-2-20220000000000000000-2-20002200000000000
χ3522-2222-2-2-2222-2-2-22-22-22-22-2-2000000-22-222-2-2222-20-2200000000000000002-2000-2200000000000
χ3622-2222-2-2-2222-2-2-22-22-22-22-2-2000000-22-222-2-222-2202-20000000000000000-220002-200000000000
χ3722-222-22-2-2222-2-2-22002-22-2000000002-2000000000200-2222-2-2-200000000000000002-2002-200000
χ3822-222-22-2-2222-2-2-22002-22-2000000002-2000000000200-222-22-2-20000000000000000-2200-2200000
χ3922-222-22-2-2222-2-2-22002-22-2000000002-2000000000-2002-2-22-22200000000000000002-200-2200000
χ4022-222-22-2-2222-2-2-22002-22-2000000002-2000000000-2002-2-2-22220000000000000000-22002-200000
χ4122-22-12-2-2-22-1-1111-12-212-2-1-1-100−i3i3−i3i31-12-21-1-111220-2-20−i3i300−i3i300−i3i3−i3i3000-1-10001100−i3i30000000
χ4222-22-12-2-2-22-1-1111-12-212-2-1-1-100−i3i3−i3i31-12-21-1-111-2-20220i3−i300i3−i300−i3i3−i3i300011000-1-100i3−i30000000
χ4322-22-12-2-2-22-1-1111-12-212-2-1-1-100i3−i3i3−i31-12-21-1-111220-2-20i3−i300i3−i300i3−i3i3−i3000-1-10001100i3−i30000000
χ4422-22-12-2-2-22-1-1111-12-212-2-1-1-100i3−i3i3−i31-12-21-1-111-2-20220−i3i300−i3i300i3−i3i3−i300011000-1-100−i3i30000000
χ4522-22-12-2-2-22-1-1111-1-2212-2-11100−i3i3i3−i31-1-22-111-1-12-20-220−i3i300−i3i300−i3i3i3−i3000-110001-100i3−i30000000
χ4622-22-12-2-2-22-1-1111-1-2212-2-11100−i3i3i3−i31-1-22-111-1-1-2202-20i3−i300i3−i300−i3i3i3−i30001-1000-1100−i3i30000000
χ4722-22-12-2-2-22-1-1111-1-2212-2-11100i3−i3−i3i31-1-22-111-1-12-20-220i3−i300i3−i300i3−i3−i3i3000-110001-100−i3i30000000
χ4822-22-12-2-2-22-1-1111-1-2212-2-11100i3−i3−i3i31-1-22-111-1-1-2202-20−i3i300−i3i300i3−i3−i3i30001-1000-1100i3−i30000000
χ4944444-4-444444444400-4-4-4-400000000-4-40000000000000000000000000000000000000000000000
χ504444-2-4-4444-2-2-2-2-2-2002-4-4200000000220000000000000−2i32i3002i3−2i3000000000000000000000000000
χ514444-2-4-4444-2-2-2-2-2-2002-4-42000000002200000000000002i3−2i300−2i32i3000000000000000000000000000
χ52444-24-4-4-2-2-24-24-2-2-200-422-400000000220000000000000000000000000000000−2i32i30000000000000
χ53444-24-4-4-2-2-24-24-2-2-200-422-4000000002200000000000000000000000000000002i3−2i30000000000000
χ54444-2-244-2-2-2-21-211144-2-2-2-2-2-244-2-2-2-211-2-2-21111000000000000-2-21111000000000000000000000
χ55444-2-244-2-2-2-21-211144-2-2-2-2-2-2-4-4222211-2-2-2111100000000000022-1-1-1-1000000000000000000000
χ56444-2-244-2-2-2-21-2111-4-4-2-2-2-2224-4-2-22211222-1-1-1-1000000000000-2211-1-1000000000000000000000
χ57444-2-244-2-2-2-21-2111-4-4-2-2-2-222-4422-2-211222-1-1-1-10000000000002-2-1-111000000000000000000000
χ5844-44-2-44-4-44-2-2222-200-2-44200000000-22000000000400-4-2-20022000000000000000000000000000
χ5944-44-2-44-4-44-2-2222-200-2-44200000000-22000000000-40042200-2-2000000000000000000000000000
χ6044-4-244-422-24-2-422-24-4-4-224440000002-2-22-4-2-222000000000000000000000000000000000000000
χ6144-4-244-422-24-2-422-2-44-4-224-4-40000002-22-2422-2-2000000000000000000000000000000000000000
χ6244-4-24-4422-24-2-422-20042-2-400000000-220000000000000004-4000000000000000000-22000000000
χ6344-4-24-4422-24-2-422-20042-2-400000000-22000000000000000-440000000000000000002-2000000000
χ6444-4-2-24-422-2-212-1-114-42-22-2-2-200−2i32i3−2i32i3-11-22211-1-100000000000000i3−i3i3−i3000000000000000000000
χ6544-4-2-24-422-2-212-1-114-42-22-2-2-2002i3−2i32i3−2i3-11-22211-1-100000000000000−i3i3−i3i3000000000000000000000
χ6644-4-2-24-422-2-212-1-11-442-22-22200−2i32i32i3−2i3-112-2-2-1-11100000000000000i3−i3−i3i3000000000000000000000
χ6744-4-2-24-422-2-212-1-11-442-22-222002i3−2i3−2i32i3-112-2-2-1-11100000000000000−i3i3i3−i3000000000000000000000
χ68888-4-4-8-8-4-4-4-42-422200444400000000-2-20000000000000000000000000000000000000000000000
χ6988-8-4-4-8844-4-424-2-2200-44-44000000002-20000000000000000000000000000000000000000000000
χ708-80880000-8-88000-800000000000000000000000000000000000000000000000000000000000000
χ718-808-40000-84-400040000002i6−2i6000000000002i6−2i600000000000000000000000000000000000000000
χ728-808-40000-84-40004000000−2i62i600000000000−2i62i600000000000000000000000000000000000000000
χ738-80-4800−4i34i34-8-40−4i34i3400000000000000000000000000000000000000000000000000000000000000
χ748-80-48004i3−4i34-8-404i3−4i3400000000000000000000000000000000000000000000000000000000000000
χ758-80-4-400−4i34i344202i3−2i3-20000002i6−2i600000000000−i6i632−32000000000000000000000000000000000000000
χ768-80-4-400−4i34i344202i3−2i3-2000000−2i62i600000000000i6−i6−3232000000000000000000000000000000000000000
χ778-80-4-4004i3−4i34420−2i32i3-20000002i6−2i600000000000−i6i6−3232000000000000000000000000000000000000000
χ788-80-4-4004i3−4i34420−2i32i3-2000000−2i62i600000000000i6−i632−32000000000000000000000000000000000000000

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