Finite Group Databasebeta

← Group #11800025

Character table — Group #11800025

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1122222224444444444444444888888888816161616161616162424242424242424242424243636484848484848727272
order12233446636668812121212121224242424688122424242424242424242424242424161616164848484848484848244412121212888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-11-1-111-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ511111111111111111111111111-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11-1-1
χ611111111111111111111111111-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-111
χ711111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-111-1-1-111
χ811111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1
χ92222222222222-2-2222222-2-2-2-22002-2-2-2-2-2-20000000000000000000022000000-200
χ102222222222222-2-2222222-2-2-2-22002-2-2-2-2-2-200000000000000000000-2-2000000200
χ1122222-2-222222200-2-2-2-2-2-20000200-200000000000000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i22-2000000000
χ1222222-2-222222200-2-2-2-2-2-20000200-200000000000000−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2-22000000000
χ1322222-2-222222200-2-2-2-2-2-20000200-200000000000000i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2-22000000000
χ1422222-2-222222200-2-2-2-2-2-20000200-200000000000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i22-2000000000
χ152222-1222-1-1-1-12222-12-1-1-122-1-1-122-12-1-1-1-1-122-1-1-1-1-1-12200-1-1-1-100000020-1-100000
χ162222-1222-1-1-1-12222-12-1-1-122-1-1-122-12-1-1-1-1-122-1-1-1-1-1-1-2-2001111000000-201100000
χ172222-1222-1-1-1-12222-12-1-1-122-1-1-1-2-2-12-1-1-1-1-1-2-21111112200-1-1-1-1000000-201100000
χ182222-1222-1-1-1-12222-12-1-1-122-1-1-1-2-2-12-1-1-1-1-1-2-2111111-2-200111100000020-1-100000
χ19222-1222-12-12-1-122-12-12-1-1-1-122-122-1-12-1-1-1-1-1-122-1-1-1-100220000-1-1-1-1000200-1-1000
χ20222-1222-12-12-1-122-12-12-1-1-1-122-122-1-12-1-1-1-1-1-122-1-1-1-100-2-200001111000-20011000
χ21222-1222-12-12-1-122-12-12-1-1-1-122-1-2-2-1-12-1-1-1-111-2-2111100220000-1-1-1-1000-20011000
χ22222-1222-12-12-1-122-12-12-1-1-1-122-1-2-2-1-12-1-1-1-111-2-2111100-2-200001111000200-1-1000
χ2322-2222-2222-22-22-222-2-2-2-222-2-2-22i−2i2-2222-2-22i−2i2i−2i2i2i−2i−2i00000000000000000000000
χ2422-2222-2222-22-22-222-2-2-2-222-2-2-2−2i2i2-2222-2-2−2i2i−2i2i−2i−2i2i2i00000000000000000000000
χ2522-2222-2222-22-2-2222-2-2-2-2-2-222-20022-2-2-222000000000000000000000000000002i−2i
χ2622-2222-2222-22-2-2222-2-2-2-2-2-222-20022-2-2-22200000000000000000000000000000−2i2i
χ2722-22-12-22-1-11-1-22-22-1-2111221112i−2i-1-2-1-1-1112i−2i−ii−i−iii00003−33−300000000−i3i300000
χ2822-22-12-22-1-11-1-22-22-1-2111221112i−2i-1-2-1-1-1112i−2i−ii−i−iii0000−33−3300000000i3−i300000
χ2922-22-12-22-1-11-1-22-22-1-211122111−2i2i-1-2-1-1-111−2i2ii−iii−i−i00003−33−300000000i3−i300000
χ3022-22-12-22-1-11-1-22-22-1-211122111−2i2i-1-2-1-1-111−2i2ii−iii−i−i0000−33−3300000000−i3i300000
χ3122-2-122-2-12-1-2-112-2-121-211-1-1-2-212i−2i-112-1-111−ii2i−2i−i−iii00000000−i3i3−i3i30000003−3000
χ3222-2-122-2-12-1-2-112-2-121-211-1-1-2-212i−2i-112-1-111−ii2i−2i−i−iii00000000i3−i3i3−i3000000−33000
χ3322-2-122-2-12-1-2-112-2-121-211-1-1-2-21−2i2i-112-1-111i−i−2i2iii−i−i00000000−i3i3−i3i3000000−33000
χ3422-2-122-2-12-1-2-112-2-121-211-1-1-2-21−2i2i-112-1-111i−i−2i2iii−i−i00000000i3−i3i3−i30000003−3000
χ354444-2444-2-2-2-24-4-44-24-2-2-2-4-422-200-2-4222220000000000000000000000000000000
χ364444-2-4-44-2-2-2-2400-42-42220000-200200000000000000−2i22i200i2i2−i2−i2000000000000000
χ374444-2-4-44-2-2-2-2400-42-42220000-2002000000000000002i2−2i200−i2−i2i2i2000000000000000
χ38444-2444-24-24-2-2-4-4-24-24-2-222-4-4-200-22-422220000000000000000000000000000000
χ39444-24-4-4-24-24-2-2002-42-4220000-20020000000000000000−2i22i20000i2i2−i2−i200000000000
χ40444-24-4-4-24-24-2-2002-42-4220000-200200000000000000002i2−2i20000−i2−i2i2i200000000000
χ41444-2-244-2-21-21-244-2-2-2-211-2-2-2-21441-2-21111-2-2-2-2111100000000000000000000000
χ42444-2-244-2-21-21-244-2-2-2-211-2-2-2-21-4-41-2-211112222-1-1-1-100000000000000000000000
χ43444-2-244-2-21-21-2-4-4-2-2-2-2112222100122-1-1-1-100003-33-300000000000000000000000
χ44444-2-244-2-21-21-2-4-4-2-2-2-2112222100122-1-1-1-10000-33-3300000000000000000000000
χ4544-444-44444-44-400-4-444440000-400-40000000000000000000000000000000000000
χ4644-44-24-44-2-22-2-4-444-2-4222-4-4-2-2200-24222-2-20000000000000000000000000000000
χ4744-44-2-444-2-22-2-400-424-2-2-200002002000000000000000000i6−i6−i6i6000000000000000
χ4844-44-2-444-2-22-2-400-424-2-2-200002002000000000000000000−i6i6i6−i6000000000000000
χ4944-4-244-4-24-2-4-22-44-242-4222244200-2-2-422-2-20000000000000000000000000000000
χ5044-4-24-44-24-2-4-22002-4-24-2-20000200200000000000000000000006−6−6600000000000
χ5144-4-24-44-24-2-4-22002-4-24-2-2000020020000000000000000000000−666−600000000000
χ5244-4-2-24-4-2-212124-4-2-222-1-1-2-222-14i−4i12-211-1-1−2i2i−2i2iii−i−i00000000000000000000000
χ5344-4-2-24-4-2-212124-4-2-222-1-1-2-222-1−4i4i12-211-1-12i−2i2i−2i−i−iii00000000000000000000000
χ5444-4-2-24-4-2-21212-44-2-222-1-122-2-2-1001-22-1-11100003i−3i−3i3i00000000000000000000000
χ5544-4-2-24-4-2-21212-44-2-222-1-122-2-2-1001-22-1-1110000−3i3i3i−3i00000000000000000000000
χ56888-4-4-8-8-4-42-42-4004444-2-20000200-20000000000000000000000000000000000000
χ5788-8-4-4-88-4-424240044-4-4220000-200-20000000000000000000000000000000000000
χ588-808800-8-880-8000000000000000000000000000000000000000000000000000000
χ598-808-400-84-404000000000002i6−2i6000000002i6−2i60000000000000000000000000000000
χ608-808-400-84-40400000000000−2i62i600000000−2i62i60000000000000000000000000000000
χ618-80-48004-8-40400000000026−260000000026−26000000000000000000000000000000000
χ628-80-48004-8-404000000000−262600000000−2626000000000000000000000000000000000
χ638-80-4-4004420-200000006i−6i26−262i6−2i6000000−66−i6i60000000000000000000000000000000
χ648-80-4-4004420-200000006i−6i−2626−2i62i60000006−6i6−i60000000000000000000000000000000
χ658-80-4-4004420-20000000−6i6i26−26−2i62i6000000−66i6−i60000000000000000000000000000000
χ668-80-4-4004420-20000000−6i6i−26262i6−2i60000006−6−i6i60000000000000000000000000000000

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