Finite Group Databasebeta

← Group #11798318

Character table — Group #11798318

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112222222224444444444444888888888121216161616161616161624242424242424242424242424484848484872727272
order1223344666636666881212121224241212242424242424242441212121212121212246812161624244848484846121212241616
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1111-1-111-1-1-1-11-1-111-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-111
χ5111111111111111111111111111111111-1-111111111111-1-1-111-1-11111-111-1-1-1-1-1-1
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
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-11111-1-1
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
χ152222-12222-12-1-1-1-1-122-12-12-1-1-1-1-122-1-1-1-100222-1-1-1-1-1-1220002200-1-1-1-10-1-1000000
χ162222-12222-12-1-1-1-1-122-12-12-1-1-1-1-122-1-1-1-100222-1-1-1-1-1-1-2-2000-2-2001111011000000
χ172222-12222-12-1-1-1-1-122-12-12-1-1-1-1-122-1-1-1-100-2-2-211111122000-2-20011110-1-1000000
χ182222-12222-12-1-1-1-1-122-12-12-1-1-1-1-122-1-1-1-100-2-2-2111111-2-20002200-1-1-1-1011000000
χ19222-1222-1-12-1-1-12-1-1222-12-122-1-12-1-1-1-1-1-1222-1-122-1-1-1-100-12-100-1-10000200-1-10000
χ20222-1222-1-12-1-1-12-1-1222-12-122-1-12-1-1-1-1-1-122-211-2-2111100-12-100-1-10000-200110000
χ21222-1222-1-12-1-1-12-1-1222-12-122-1-12-1-1-1-1-1-1-2-22-1-122-1-1-1-1001-2100110000-200110000
χ22222-1222-1-12-1-1-12-1-1222-12-122-1-12-1-1-1-1-1-1-2-2-211-2-21111001-2100110000200-1-10000
χ23222-1222-1-12-1-1-12-1-1-2-22-12-1-2-2-1-1-2111111220−i3i300−i3−i3i3i300-1-2-100110000000−i3i30000
χ24222-1222-1-12-1-1-12-1-1-2-22-12-1-2-2-1-1-2111111220i3−i300i3i3−i3−i300-1-2-100110000000i3−i30000
χ25222-1222-1-12-1-1-12-1-1-2-22-12-1-2-2-1-1-2111111-2-20−i3i300−i3−i3i3i30012100-1-10000000i3−i30000
χ26222-1222-1-12-1-1-12-1-1-2-22-12-1-2-2-1-1-2111111-2-20i3−i300i3i3−i3−i30012100-1-10000000−i3i30000
χ2722-222-22-2-22222-2-2-22-2-2-22222-22-22-222-2-2000000000000000000000000000002-200
χ2822-222-22-2-22222-2-2-22-2-2-22222-22-22-222-2-200000000000000000000000000000-2200
χ2922-222-22-2-22222-2-2-2-22-2-222-2-2-222-22-2-222000000000002-20000000000002-2000000
χ3022-222-22-2-22222-2-2-2-22-2-222-2-2-222-22-2-22200000000000-22000000000000-22000000
χ3122-22-1-22-2-2-12-1-1111-221-2-12111-1-1-2211-1-1000003−33−33−32-200000003−33−30-11000000
χ3222-22-1-22-2-2-12-1-1111-221-2-12111-1-1-2211-1-1000003−33−33−3-220000000−33−3301-1000000
χ3322-22-1-22-2-2-12-1-1111-221-2-12111-1-1-2211-1-100000−33−33−332-20000000−33−330-11000000
χ3422-22-1-22-2-2-12-1-1111-221-2-12111-1-1-2211-1-100000−33−33−33-2200000003−33−301-1000000
χ354444-24444-24-2-2-2-2-2-4-4-24-2422-2-22-4-42222000000000000000000000000000000000
χ364444-2-4-444-24-2-2-2-2-2002-42-400220000000000000000000000022−2200−2−222000000000
χ374444-2-4-444-24-2-2-2-2-2002-42-4002200000000000000000000000−22220022−2−2000000000
χ38444-24-4-4-2-24-2-2-24-2-200-42-42002200000004-400000000000-20200000000000000000
χ39444-24-4-4-2-24-2-2-24-2-200-42-4200220000000-440000000000020-200000000000000000
χ40444-2-244-2-2-2-211-21144-2-2-2-2-2-211-2-2-21111004-2-2-2-211110000000000000000000000
χ41444-2-244-2-2-2-211-21144-2-2-2-2-2-211-2-2-2111100-42222-1-1-1-10000000000000000000000
χ42444-2-244-2-2-2-211-211-4-4-2-2-2-22211222-1-1-1-1000−2i32i300i3i3−i3−i30000000000000000000000
χ43444-2-244-2-2-2-211-211-4-4-2-2-2-22211222-1-1-1-10002i3−2i300−i3−i3i3i30000000000000000000000
χ4444-4444-4-4-44444-4-4-40044-4-4004-40000000000000000000000000000000000000000
χ4544-44-24-4-4-4-24-2-222200-242-400-220000000000000000000000000006−6−66000000000
χ4644-44-24-4-4-4-24-2-222200-242-400-22000000000000000000000000000−666−6000000000
χ4744-44-2-44-4-4-24-2-22224-42-4-24-2-22-224-4-2-222000000000000000000000000000000000
χ4844-4-244-4224-2-2-2-422004-2-4200-22000000000000000000000000023−230000000000000
χ4944-4-244-4224-2-2-2-422004-2-4200-220000000000000000000000000−23230000000000000
χ5044-4-24-44224-2-2-2-4224-4-424-2442-2-4-22-2-222000000000000000000000000000000000
χ5144-4-24-44224-2-2-2-422-44-424-2-4-42-242-222-2-2000000000000000000000000000000000
χ5244-4-2-2-4422-2-2112-1-14-422-2-2-2-2-112-2211-1-100000003i−3i−3i3i0000000000000000000000
χ5344-4-2-2-4422-2-2112-1-14-422-2-2-2-2-112-2211-1-10000000−3i3i3i−3i0000000000000000000000
χ5444-4-2-2-4422-2-2112-1-1-4422-2-222-11-22-2-1-1110000023−23−33−330000000000000000000000
χ5544-4-2-2-4422-2-2112-1-1-4422-2-222-11-22-2-1-11100000−23233−33−30000000000000000000000
χ56888-4-4-8-8-4-4-4-422-42200444400-2-20000000000000000000000000000000000000000
χ5788-8-4-48-844-4-4224-2-200-4-444002-20000000000000000000000000000000000000000
χ588-80880000-8-88-800000000000000000000000000000000000000000000000000000
χ598-808-400004-8-4400000000026−260000026−2600000000000000000000000000000000000
χ608-808-400004-8-44000000000−262600000−262600000000000000000000000000000000000
χ618-80-4800−4i34i3-84-440−4i34i300000000000000000000000000000000000000000000000000
χ628-80-48004i3−4i3-84-4404i3−4i300000000000000000000000000000000000000000000000000
χ638-80-4-400−4i34i3442-202i3−2i300000026−2600000−66−3i23i2000000000000000000000000000000000
χ648-80-4-400−4i34i3442-202i3−2i3000000−2626000006−63i2−3i2000000000000000000000000000000000
χ658-80-4-4004i3−4i3442-20−2i32i300000026−2600000−663i2−3i2000000000000000000000000000000000
χ668-80-4-4004i3−4i3442-20−2i32i3000000−2626000006−6−3i23i2000000000000000000000000000000000

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