Finite Group Databasebeta

← Group #11798307

Character table — Group #11798307

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112222222224444444444444888888888121216161616161616161624242424242424242424242424484848484872727272
order1223344666636666881212121224241212242424242424242441212121212121212246812161624244848484846121212241616
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1111-1-111-1-1-1-11-111-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-11-1-1111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-111
χ5111111111111111111111111111111111-1-111111111111-1-1-111-1-11111-11-1-11-1-1-1-1
χ6111111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-111
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-111-1-1
χ92222222222222222-2-22222-2-222-2-2-2-2-2-2-222000000000002-2200-2-20000000000000
χ102222222222222222-2-22222-2-222-2-2-2-2-2-2-2-2-200000000000-22-200220000000000000
χ1122222-2-222222222200-2-2-2-200-2-200000002-20000000000020-22−20022−2−200000002−2
χ1222222-2-222222222200-2-2-2-200-2-200000002-20000000000020-2−2200−2−2220000000−22
χ1322222-2-222222222200-2-2-2-200-2-20000000-2200000000000-2022−20022−2−20000000−22
χ1422222-2-222222222200-2-2-2-200-2-20000000-2200000000000-202−2200−2−22200000002−2
χ152222-122222-1-1-1-1-1-1222-1-12-1-1-1-1-122-1-1-1-100222-1-1-1-1-1-1220002200-1-1-1-10-100-10000
χ162222-122222-1-1-1-1-1-1222-1-12-1-1-1-1-122-1-1-1-100222-1-1-1-1-1-1-2-2000-2-2001111010010000
χ172222-122222-1-1-1-1-1-1222-1-12-1-1-1-1-122-1-1-1-100-2-2-211111122000-2-20011110-100-10000
χ182222-122222-1-1-1-1-1-1222-1-12-1-1-1-1-122-1-1-1-100-2-2-2111111-2-20002200-1-1-1-1010010000
χ19222-1222-1-1-12-12-1-1-122-122-122-1-12-1-1-1-1-1-1222-1-122-1-1-1-100-12-100-1-1000020-1-100000
χ20222-1222-1-1-12-12-1-1-122-122-122-1-12-1-1-1-1-1-122-211-2-2111100-12-100-1-10000-201100000
χ21222-1222-1-1-12-12-1-1-122-122-122-1-12-1-1-1-1-1-1-2-22-1-122-1-1-1-1001-2100110000-201100000
χ22222-1222-1-1-12-12-1-1-122-122-122-1-12-1-1-1-1-1-1-2-2-211-2-21111001-210011000020-1-100000
χ23222-1222-1-1-12-12-1-1-1-2-2-122-1-2-2-1-1-2111111220−i3i300−i3−i3i3i300-1-2-10011000000−i3i300000
χ24222-1222-1-1-12-12-1-1-1-2-2-122-1-2-2-1-1-2111111220i3−i300i3i3−i3−i300-1-2-10011000000i3−i300000
χ25222-1222-1-1-12-12-1-1-1-2-2-122-1-2-2-1-1-2111111-2-20−i3i300−i3−i3i3i30012100-1-1000000i3−i300000
χ26222-1222-1-1-12-12-1-1-1-2-2-122-1-2-2-1-1-2111111-2-20i3−i300i3i3−i3−i30012100-1-1000000−i3i300000
χ2722-222-22-2-2222-2-2-222-2-2-22222-22-22-222-2-2000000000002-2000000000000200-20000
χ2822-222-22-2-2222-2-2-222-2-2-22222-22-22-222-2-200000000000-22000000000000-20020000
χ2922-222-22-2-2222-2-2-22-22-2-222-2-2-222-22-2-222000000000000000000000000000002-200
χ3022-222-22-2-2222-2-2-22-22-2-222-2-2-222-22-2-22200000000000000000000000000000-2200
χ3122-22-1-22-2-22-1-1111-12-2-21-12-1-11-112-2-1-11100000−i3i3−i3i3−i3i32-20000000−i3i3−i3i30-10010000
χ3222-22-1-22-2-22-1-1111-12-2-21-12-1-11-112-2-1-11100000−i3i3−i3i3−i3i3-220000000i3−i3i3−i30100-10000
χ3322-22-1-22-2-22-1-1111-12-2-21-12-1-11-112-2-1-11100000i3−i3i3−i3i3−i32-20000000i3−i3i3−i30-10010000
χ3422-22-1-22-2-22-1-1111-12-2-21-12-1-11-112-2-1-11100000i3−i3i3−i3i3−i3-220000000−i3i3−i3i30100-10000
χ354444-244444-2-2-2-2-2-2-4-44-2-2422-2-22-4-42222000000000000000000000000000000000
χ364444-2-4-4444-2-2-2-2-2-200-422-400220000000000000000000000022−2200−2−222000000000
χ374444-2-4-4444-2-2-2-2-2-200-422-4002200000000000000000000000−22220022−2−2000000000
χ38444-24-4-4-2-2-24-24-2-2-2002-4-42002200000004-400000000000-20200000000000000000
χ39444-24-4-4-2-2-24-24-2-2-2002-4-4200220000000-440000000000020-200000000000000000
χ40444-2-244-2-2-2-21-211144-2-2-2-2-2-211-2-2-21111004-2-2-2-211110000000000000000000000
χ41444-2-244-2-2-2-21-211144-2-2-2-2-2-211-2-2-2111100-42222-1-1-1-10000000000000000000000
χ42444-2-244-2-2-2-21-2111-4-4-2-2-2-22211222-1-1-1-1000−2i32i300i3i3−i3−i30000000000000000000000
χ43444-2-244-2-2-2-21-2111-4-4-2-2-2-22211222-1-1-1-10002i3−2i300−i3−i3i3i30000000000000000000000
χ4444-4444-4-4-4444-4-4-440044-4-4004-40000000000000000000000000000000000000000
χ4544-44-24-4-4-44-2-2222-2004-22-400-22000000000000000000000000000i6−i6−i6i6000000000
χ4644-44-24-4-4-44-2-2222-2004-22-400-22000000000000000000000000000−i6i6i6−i6000000000
χ4744-44-2-44-4-44-2-2222-2-44-42-24222-2-2-4422-2-2000000000000000000000000000000000
χ4844-4-244-422-24-2-422-200-24-4200-22000000000000000000000000023−230000000000000
χ4944-4-244-422-24-2-422-200-24-4200-220000000000000000000000000−23230000000000000
χ5044-4-24-4422-24-2-422-24-42-44-2442-2-4-22-2-222000000000000000000000000000000000
χ5144-4-24-4422-24-2-422-2-442-44-2-4-42-242-222-2-2000000000000000000000000000000000
χ5244-4-2-2-4422-2-212-1-114-422-2-2-2-2-112-2211-1-100000−2i32i3i3−i3i3−i30000000000000000000000
χ5344-4-2-2-4422-2-212-1-114-422-2-2-2-2-112-2211-1-1000002i3−2i3−i3i3−i3i30000000000000000000000
χ5444-4-2-2-4422-2-212-1-11-4422-2-222-11-22-2-1-11100000003-3-330000000000000000000000
χ5544-4-2-2-4422-2-212-1-11-4422-2-222-11-22-2-1-1110000000-333-30000000000000000000000
χ56888-4-4-8-8-4-4-4-42-422200444400-2-20000000000000000000000000000000000000000
χ5788-8-4-48-844-4-424-2-2200-4-444002-20000000000000000000000000000000000000000
χ588-80880000-8-88000-800000000000000000000000000000000000000000000000000
χ598-808-40000-84-400040000002i6−2i6000002i6−2i600000000000000000000000000000000000
χ608-808-40000-84-40004000000−2i62i600000−2i62i600000000000000000000000000000000000
χ618-80-4800−4i34i34-8-40−4i34i3400000000000000000000000000000000000000000000000000
χ628-80-48004i3−4i34-8-404i3−4i3400000000000000000000000000000000000000000000000000
χ638-80-4-400−4i34i344202i3−2i3-20000002i6−2i600000−i6i632−32000000000000000000000000000000000
χ648-80-4-400−4i34i344202i3−2i3-2000000−2i62i600000i6−i6−3232000000000000000000000000000000000
χ658-80-4-4004i3−4i34420−2i32i3-20000002i6−2i600000−i6i6−3232000000000000000000000000000000000
χ668-80-4-4004i3−4i34420−2i32i3-2000000−2i62i600000i6−i632−32000000000000000000000000000000000

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