Finite Group Databasebeta

← Group #11797920

Character table — Group #11797920

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size112222222224444444444444888888888888888121212121212121216161616161624242424242424242424242424242424484872727272
order122334466663666688121212122424441212121212122424242424242444881212121212121212121244881212121216162424484848482424241616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1111111-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-111-1-1
χ911-1111-11-1-1111-1-1-11-111-1-111i−iii−i−i-111-1-111-1-1i−ii−iii−i−iiii−i−i−i1-1i−i11-1-11-1i−i11-1-1i−i1-1i−i
χ1011-1111-11-1-1111-1-1-11-111-1-111i−iii−i−i-111-1-111-1-1i−ii−iii−i−iiii−i−i−i1-1−ii11-1-1-11i−i-1-111−ii-11−ii
χ1111-1111-11-1-1111-1-1-11-111-1-111i−iii−i−i-111-1-111-1-1−ii−ii−i−iiiiii−i−i−i-11i−i-1-1111-1−ii11-1-1i−i-11−ii
χ1211-1111-11-1-1111-1-1-11-111-1-111i−iii−i−i-111-1-111-1-1−ii−ii−i−iiiiii−i−i−i-11−ii-1-111-11−ii-1-111−ii1-1i−i
χ1311-1111-11-1-1111-1-1-11-111-1-111−ii−i−iii-111-1-111-1-1i−ii−iii−i−i−i−i−iiii-11i−i-1-111-11i−i-1-111i−i1-1−ii
χ1411-1111-11-1-1111-1-1-11-111-1-111−ii−i−iii-111-1-111-1-1i−ii−iii−i−i−i−i−iiii-11−ii-1-1111-1i−i11-1-1−ii-11i−i
χ1511-1111-11-1-1111-1-1-11-111-1-111−ii−i−iii-111-1-111-1-1−ii−ii−i−iii−i−i−iiii1-1i−i11-1-1-11−ii-1-111i−i-11i−i
χ1611-1111-11-1-1111-1-1-11-111-1-111−ii−i−iii-111-1-111-1-1−ii−ii−i−iii−i−i−iiii1-1−ii11-1-11-1−ii11-1-1−ii1-1−ii
χ172222222222222222-2-22222-2-200000022-2-2-2-2-2-2-222-2-222220000000000000000-2-20000000000
χ182222222222222222-2-22222-2-200000022-2-2-2-2-2-2-2-2-222-2-2-2-20000000000000000220000000000
χ192222-1222-1-1-1-1-12-1-1222-1-122222-1-1-1-1-1-1-12-1-1-1-1-12222-1-1-1-12-1-12-1-12200-1-1-1-100-1-10000000000
χ202222-1222-1-1-1-1-12-1-1222-1-122222-1-1-1-1-1-1-12-1-1-1-1-1-2-2-2-211112-1-12-1-1-2-200111100110000000000
χ212222-1222-1-1-1-1-12-1-1222-1-1222-2-21111-1-1-12-1-1-1-1-12222-1-1-1-1-211-211-2-200111100-1-10000000000
χ222222-1222-1-1-1-1-12-1-1222-1-1222-2-21111-1-1-12-1-1-1-1-1-2-2-2-21111-211-2112200-1-1-1-100110000000000
χ232222-1222-1-1-1-1-12-1-1-2-22-1-12-2-200−i3i3−i3i3-1-11-21111122-2-2-1-1-1-10−i3i30−i3i30000−i3i3−i3i300110000000000
χ242222-1222-1-1-1-1-12-1-1-2-22-1-12-2-200−i3i3−i3i3-1-11-211111-2-22211110−i3i30−i3i30000i3−i3i3−i300-1-10000000000
χ252222-1222-1-1-1-1-12-1-1-2-22-1-12-2-200i3−i3i3−i3-1-11-21111122-2-2-1-1-1-10i3−i30i3−i30000i3−i3i3−i300110000000000
χ262222-1222-1-1-1-1-12-1-1-2-22-1-12-2-200i3−i3i3−i3-1-11-211111-2-22211110i3−i30i3−i30000−i3i3−i3i300-1-10000000000
χ27222-1222-1222-1-1-1-1-122-122-1-1-1222222-1-12-12-1-1-1-100000000-1-1-1-1-1-1002200002200-1-1-1-1-1-10000
χ28222-1222-1222-1-1-1-1-122-122-1-1-1222222-1-12-12-1-1-1-100000000-1-1-1-1-1-100-2-20000-2-2001111110000
χ29222-1222-1222-1-1-1-1-122-122-1-1-1-2-2-2-2-2-2-1-12-12-1-1-1-10000000011111100220000-2-2001111-1-10000
χ30222-1222-1222-1-1-1-1-122-122-1-1-1-2-2-2-2-2-2-1-12-12-1-1-1-10000000011111100-2-200002200-1-1-1-1110000
χ3122-2222-22-2-2222-2-2-2-2222-2-2-2-2000000-22-222-2-2222i−2i−2i2i2i2i−2i−2i0000000000000000−2i2i0000000000
χ3222-2222-22-2-2222-2-2-2-2222-2-2-2-2000000-22-222-2-222−2i2i2i−2i−2i−2i2i2i00000000000000002i−2i0000000000
χ3322-22-12-2211-1-1-1-2112-22-11-2222i−2i−i−iii1-1-1-21-1-1112i−2i2i−2i−i−iii2i−i−i−2iii2-200-1-11100−ii0000000000
χ3422-22-12-2211-1-1-1-2112-22-11-2222i−2i−i−iii1-1-1-21-1-111−2i2i−2i2iii−i−i2i−i−i−2iii-220011-1-100i−i0000000000
χ3522-22-12-2211-1-1-1-2112-22-11-222−2i2iii−i−i1-1-1-21-1-1112i−2i2i−2i−i−iii−2iii2i−i−i-220011-1-100−ii0000000000
χ3622-22-12-2211-1-1-1-2112-22-11-222−2i2iii−i−i1-1-1-21-1-111−2i2i−2i2iii−i−i−2iii2i−i−i2-200-1-11100i−i0000000000
χ3722-22-12-2211-1-1-1-211-222-11-2-2-2003−3−331-112-111-1-12i−2i−2i2i−i−iii03−30−330000−i3i3i3−i300i−i0000000000
χ3822-22-12-2211-1-1-1-211-222-11-2-2-2003−3−331-112-111-1-1−2i2i2i−2iii−i−i03−30−330000i3−i3−i3i300−ii0000000000
χ3922-22-12-2211-1-1-1-211-222-11-2-2-200−333−31-112-111-1-12i−2i−2i2i−i−iii0−3303−30000i3−i3−i3i300i−i0000000000
χ4022-22-12-2211-1-1-1-211-222-11-2-2-200−333−31-112-111-1-1−2i2i2i−2iii−i−i0−3303−30000−i3i3i3−i300−ii0000000000
χ4122-2-122-2-1-2-22-1-11112-2-12-21-1-12i−2i2i2i−2i−2i1-121-2-1-11100000000−i−i−iiii002i−2i00002-200-1-111−ii0000
χ4222-2-122-2-1-2-22-1-11112-2-12-21-1-12i−2i2i2i−2i−2i1-121-2-1-11100000000−i−i−iiii00−2i2i0000-220011-1-1i−i0000
χ4322-2-122-2-1-2-22-1-11112-2-12-21-1-1−2i2i−2i−2i2i2i1-121-2-1-11100000000iii−i−i−i002i−2i0000-220011-1-1−ii0000
χ4422-2-122-2-1-2-22-1-11112-2-12-21-1-1−2i2i−2i−2i2i2i1-121-2-1-11100000000iii−i−i−i00−2i2i00002-200-1-111i−i0000
χ4544444-4-444444444400-4-4-4-400000000-4-40000000000000000000000000000000000000000000
χ464444-2-4-44-2-2-2-2-24-2-200-422-4000000002200000000000−2i32i3−2i32i30000000000000000000000000000
χ474444-2-4-44-2-2-2-2-24-2-200-422-40000000022000000000002i3−2i32i3−2i30000000000000000000000000000
χ48444-2444-2444-2-2-2-2-2-4-4-244-222000000-2-2-42-42222000000000000000000000000000000000000
χ49444-24-4-4-2444-2-2-2-2-2002-4-4200000000220000000000000000000000000000000006−66−6000000
χ50444-24-4-4-2444-2-2-2-2-2002-4-420000000022000000000000000000000000000000000−66−66000000
χ51444-2-244-2-2-2-211-21144-2-2-2-2-2-244-2-2-2-211-2-2-2111100000000-211-2110000000000000000000000
χ52444-2-244-2-2-2-211-21144-2-2-2-2-2-2-4-4222211-2-2-21111000000002-1-12-1-10000000000000000000000
χ53444-2-244-2-2-2-211-211-4-4-2-2-2-22200−2i32i3−2i32i311222-1-1-1-1000000000i3−i30i3−i30000000000000000000000
χ54444-2-244-2-2-2-211-211-4-4-2-2-2-222002i3−2i32i3−2i311222-1-1-1-1000000000−i3i30−i3i30000000000000000000000
χ5544-444-444-4-4444-4-4-400-4-444000000004-40000000000000000000000000000000000000000000
χ5644-44-2-44422-2-2-2-42200-42-2400000000-220000000000023−23−23230000000000000000000000000000
χ5744-44-2-44422-2-2-2-42200-42-2400000000-2200000000000−232323−230000000000000000000000000000
χ5844-4-244-4-2-4-44-2-2222-44-24-42220000002-2-4-2422-2-2000000000000000000000000000000000000
χ5944-4-24-44-2-4-44-2-2222002-44-200000000-220000000000000000000000000000000006−6−66000000
χ6044-4-24-44-2-4-44-2-2222002-44-200000000-22000000000000000000000000000000000−666−6000000
χ6144-4-2-24-4-222-2112-1-14-4-2-222-2-24i−4i−2i−2i2i2i-11-22211-1-100000000−2iii2i−i−i0000000000000000000000
χ6244-4-2-24-4-222-2112-1-14-4-2-222-2-2−4i4i2i2i−2i−2i-11-22211-1-1000000002i−i−i−2iii0000000000000000000000
χ6344-4-2-24-4-222-2112-1-1-44-2-222220023−23−2323-112-2-2-1-111000000000−3303−30000000000000000000000
χ6444-4-2-24-4-222-2112-1-1-44-2-2222200−232323−23-112-2-2-1-1110000000003−30−330000000000000000000000
χ65888-4-4-8-8-4-4-4-422-42200444400000000-2-20000000000000000000000000000000000000000000
χ6688-8-4-4-88-444-4224-2-20044-4-4000000002-20000000000000000000000000000000000000000000
χ678-808800-800-88-800000000000000000000000000000000000000000000000000000000000000
χ688-808-400-8−4i34i34-440−4i34i300000000000000000000000000000000000000000000000000000000000
χ698-808-400-84i3−4i34-4404i3−4i300000000000000000000000000000000000000000000000000000000000
χ708-80-4800400-8-4400000000026−260000000000026−2600000000000000000000000000000000000000
χ718-80-4800400-8-44000000000−262600000000000−262600000000000000000000000000000000000000
χ728-80-4-4004−4i34i342-202i3−2i300000026−2600000000000−66−3i23i2000000000000000000000000000000000000
χ738-80-4-4004−4i34i342-202i3−2i3000000−2626000000000006−63i2−3i2000000000000000000000000000000000000
χ748-80-4-40044i3−4i342-20−2i32i300000026−2600000000000−663i2−3i2000000000000000000000000000000000000
χ758-80-4-40044i3−4i342-20−2i32i3000000−2626000000000006−6−3i23i2000000000000000000000000000000000000

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