Finite Group Databasebeta

← Group #11779496

Character table — Group #11779496

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444448888888888888812121212121212121212121216161616161624242424242424242424242424242424242436363636144
order122233444466666634666121212121212121244121212121212121212121212444412121212121212121212121212122266668888242424242424242488884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111111111111111-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11111-1
χ611111111111111111111111111111-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-11111-1-1-1-11
χ711111111111111111111111111111-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1-1-1-11
χ811111111111111111111111111111-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111111111-1
χ92222222-22-22222222-22222-222-2-22-200-2-2000022-2-2-2-20022000022220000000-200-2-200000000000000000
χ102222222-22-22222222-22222-222-2-22-200-2-2000022-2-2-2-200-2-20000-2-2-2-200000002002200000000000000000
χ11222222-22-222222222-2222-22-2-222-2200-2-20000-2-222-2-2220022220000000000-20-2-20000000000000000000
χ12222222-22-222222222-2222-22-2-222-2200-2-20000-2-222-2-2-2-200-2-2-2-2000000000020220000000000000000000
χ13222222-2-2-2-222222222222-2-2-2-2-2-2-2-22-22222-2-2-2-2-2-2220000000000002-222-2-200000000000000000000000
χ14222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2222-2-222-2-2-2-222000000000000-22-2-22200000000000000000000000
χ1522222-12222222-1-1-1-12-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100000000000000000
χ1622222-12222222-1-1-1-12-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111122-1-1-1-1-2-2111100000000000000000
χ1722222-12222222-1-1-1-12-1-1-122-1-1-1-122-2-22-11111-1-1-1-1-1-122-2-2-1-1-1-11111-2-211112-2-1-11100000000000000000
χ1822222-12222222-1-1-1-12-1-1-122-1-1-1-122-2-22-11111-1-1-1-1-1-1-2-2221111-1-1-1-1-2-21111-2211-1-100000000000000000
χ1922222-12-22-2222-1-1-1-1-2-1-1-12-2-1-1112-200-21−i3i3−i3i3-1-111110022−i3−i3i3i3-1-1-1-100−i3i3−i3i30-2−i3i31100000000000000000
χ2022222-12-22-2222-1-1-1-1-2-1-1-12-2-1-1112-200-21−i3i3−i3i3-1-1111100-2-2i3i3−i3−i3111100−i3i3−i3i302i3−i3-1-100000000000000000
χ2122222-12-22-2222-1-1-1-1-2-1-1-12-2-1-1112-200-21i3−i3i3−i3-1-111110022i3i3−i3−i3-1-1-1-100i3−i3i3−i30-2i3−i31100000000000000000
χ2222222-12-22-2222-1-1-1-1-2-1-1-12-2-1-1112-200-21i3−i3i3−i3-1-1111100-2-2−i3−i3i3i3111100i3−i3i3−i302−i3i3-1-100000000000000000
χ2322222-1-22-22222-1-1-1-1-2-1-1-1-2211-1-1-2200-21−i3i3i3−i311-1-1112200-1-1-1-1−i3−i3i3i300−i3i3i3−i3-2011−i3i300000000000000000
χ2422222-1-22-22222-1-1-1-1-2-1-1-1-2211-1-1-2200-21−i3i3i3−i311-1-111-2-2001111i3i3−i3−i300−i3i3i3−i320-1-1i3−i300000000000000000
χ2522222-1-22-22222-1-1-1-1-2-1-1-1-2211-1-1-2200-21i3−i3−i3i311-1-1112200-1-1-1-1i3i3−i3−i300i3−i3−i3i3-2011i3−i300000000000000000
χ2622222-1-22-22222-1-1-1-1-2-1-1-1-2211-1-1-2200-21i3−i3−i3i311-1-111-2-2001111−i3−i3i3i300i3−i3−i3i320-1-1−i3i300000000000000000
χ2722222-1-2-2-2-2222-1-1-1-12-1-1-1-2-21111-2-22-22-1-1-1111111-1-10000−i3−i3i3i3−i3−i3i3i32-2-1-11100i3−i3i3−i300000000000000000
χ2822222-1-2-2-2-2222-1-1-1-12-1-1-1-2-21111-2-22-22-1-1-1111111-1-10000i3i3−i3−i3i3i3−i3−i32-2-1-11100−i3i3−i3i300000000000000000
χ2922222-1-2-2-2-2222-1-1-1-12-1-1-1-2-21111-2-2-222-111-1-11111-1-10000−i3−i3i3i3i3i3−i3−i3-2211-1-100i3−i3−i3i300000000000000000
χ3022222-1-2-2-2-2222-1-1-1-12-1-1-1-2-21111-2-2-222-111-1-11111-1-10000i3i3−i3−i3−i3−i3i3i3-2211-1-100−i3i3i3−i300000000000000000
χ312222-122222-1-1-1222-12-1-1-1-1-12222-1-122-122222-1-1-1-1-1-1000000000000-1-1-1-1-1-10000002222-1-1-1-1-1-1-1-100000
χ322222-122222-1-1-1222-12-1-1-1-1-12222-1-122-122222-1-1-1-1-1-1000000000000-1-1-1-1-1-1000000-2-2-2-21111111100000
χ332222-122222-1-1-1222-12-1-1-1-1-12222-1-1-2-2-12-2-2-2-2-1-1-1-1-1-100000000000011111100000022-2-2-1-1-1-1111100000
χ342222-122222-1-1-1222-12-1-1-1-1-12222-1-1-2-2-12-2-2-2-2-1-1-1-1-1-1000000000000111111000000-2-2221111-1-1-1-100000
χ352222-12-2-2-2-2-1-1-1222-12-1-1-111-2-2-2-2112-2-1222-2-21111-1-1000000000000-11-1-111000000000033−3−333−3−300000
χ362222-12-2-2-2-2-1-1-1222-12-1-1-111-2-2-2-2112-2-1222-2-21111-1-1000000000000-11-1-1110000000000−3−333−3−33300000
χ372222-12-2-2-2-2-1-1-1222-12-1-1-111-2-2-2-211-22-12-2-2221111-1-10000000000001-111-1-1000000000033−3−3−3−33300000
χ382222-12-2-2-2-2-1-1-1222-12-1-1-111-2-2-2-211-22-12-2-2221111-1-10000000000001-111-1-10000000000−3−33333−3−300000
χ3922-2-2220-2022-2-2-22-2202-2-20-2002-20200000000002-2002i−2i002i−2i2i−2i0000000000000000−i2i200−i2i2−i2i2000022−2−20
χ4022-2-2220-2022-2-2-22-2202-2-20-2002-20200000000002-2002i−2i002i−2i2i−2i0000000000000000i2−i200i2−i2i2−i20000−2−2220
χ4122-2-2220-2022-2-2-22-2202-2-20-2002-20200000000002-200−2i2i00−2i2i−2i2i0000000000000000−i2i200−i2i2−i2i20000−2−2220
χ4222-2-2220-2022-2-2-22-2202-2-20-2002-20200000000002-200−2i2i00−2i2i−2i2i0000000000000000i2−i200i2−i2i2−i2000022−2−20
χ432-22-222-2020-22-2-2-2220-22-2-202-20020000000002-20000002i−2i00002i−2i2i−2i00000000000000−i2i20000−i2i2−i2i22−22−20
χ442-22-222-2020-22-2-2-2220-22-2-202-20020000000002-20000002i−2i00002i−2i2i−2i00000000000000i2−i20000i2−i2i2−i2−22−220
χ452-22-222-2020-22-2-2-2220-22-2-202-20020000000002-2000000−2i2i0000−2i2i−2i2i00000000000000−i2i20000−i2i2−i2i2−22−220
χ462-22-222-2020-22-2-2-2220-22-2-202-20020000000002-2000000−2i2i0000−2i2i−2i2i00000000000000i2−i20000i2−i2i2−i22−22−20
χ474444-244-44-4-2-2-2444-2-4-2-2-2-2244-4-4-22002-40000-2-2222200000000000000000000000000000000000000000
χ484444-24-44-44-2-2-2444-2-4-2-2-22-2-4-4442-2002-4000022-2-22200000000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-244-2-2-2-2-2-2111111000000000000-2-2111100000000000000000000000
χ504444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-4-2-2222211111100000000000022-1-1-1-100000000000000000000000
χ514444-2-24-44-4-2-2-2-2-2-21-4111-22-2-222-220022−2i32i3−2i32i311-1-1-1-100000000000000i3−i3i3−i300000000000000000000000
χ524444-2-24-44-4-2-2-2-2-2-21-4111-22-2-222-2200222i3−2i32i3−2i311-1-1-1-100000000000000−i3i3−i3i300000000000000000000000
χ534444-2-2-44-44-2-2-2-2-2-21-41112-222-2-22-20022−2i32i32i3−2i3-1-111-1-100000000000000i3−i3−i3i300000000000000000000000
χ544444-2-2-44-44-2-2-2-2-2-21-41112-222-2-22-200222i3−2i3−2i32i3-1-111-1-100000000000000−i3i3i3−i300000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-214111222222224-4-2-2-2-222-1-1-1-111000000000000-2211-1-100000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-44-2-222-2-2-1-1-1-1110000000000002-2-1-11100000000000000000000000
χ5744-4-444040-44-4-4-44-4404-4-40400-440-40000000000-440000000000000000000000000000000000000000000
χ5844-4-44-2040-44-4-42-22-20-22204002-20-400000000002-200000023−23−2323000000000000000000000000000000000
χ5944-4-44-2040-44-4-42-22-20-22204002-20-400000000002-2000000−232323−23000000000000000000000000000000000
χ6044-4-44-20-4044-4-42-22-20-2220-400-22040000000000-22004i−4i00−2i2i−2i2i000000000000000000000000000000000
χ6144-4-44-20-4044-4-42-22-20-2220-400-22040000000000-2200−4i4i002i−2i2i−2i000000000000000000000000000000000
χ6244-4-4-24040-4-222-44-4-20-2220-200-440200000000002-2000000000000000000000000000000i6−i6−i6i6000000000
χ6344-4-4-24040-4-222-44-4-20-2220-200-440200000000002-2000000000000000000000000000000−i6i6i6−i6000000000
χ6444-4-4-240-404-222-44-4-20-22202004-40-20000000000-2200000000000000000000000000−2i22i200i2−i2i2−i2000000000
χ6544-4-4-240-404-222-44-4-20-22202004-40-20000000000-22000000000000000000000000002i2−2i200−i2i2−i2i2000000000
χ664-44-44440-40-44-4-4-4440-44-440-4400-4000000000-44000000000000000000000000000000000000000000000
χ674-44-44-240-40-44-422-2-202-22402-200-40000000002-200000000000023−23−232300000000000000000000000000000
χ684-44-44-240-40-44-422-2-202-22402-200-40000000002-2000000000000−232323−2300000000000000000000000000000
χ694-44-44-2-4040-44-422-2-202-22-40-22004000000000-220000004i−4i0000−2i2i−2i2i00000000000000000000000000000
χ704-44-44-2-4040-44-422-2-202-22-40-22004000000000-22000000−4i4i00002i−2i2i−2i00000000000000000000000000000
χ714-44-4-2440-402-22-4-44-202-22-20-440020000000002-2000000000000000000000000000000000000i6−i6−i6i600000
χ724-44-4-2440-402-22-4-44-202-22-20-440020000000002-2000000000000000000000000000000000000−i6i6i6−i600000
χ734-44-4-24-40402-22-4-44-202-22204-400-2000000000-22000000000000000000000000000000−2i22i20000i2−i2i2−i200000
χ744-44-4-24-40402-22-4-44-202-22204-400-2000000000-220000000000000000000000000000002i2−2i20000−i2i2−i2i200000
χ754-4-44440000-4-444-4-440-4-4400000000000000000000000000000000000000000000000000000000002-2-220
χ764-4-44440000-4-444-4-440-4-440000000000000000000000000000000000000000000000000000000000-222-20
χ7788-8-8-4-4080-8-4444-44202-2-20-4004-4040000000000-220000000000000000000000000000000000000000000
χ7888-8-8-4-40-808-4444-44202-2-20400-440-400000000002-20000000000000000000000000000000000000000000
χ798-88-8-4-480-804-4444-420-22-2-404-4004000000000-22000000000000000000000000000000000000000000000
χ808-88-8-4-4-80804-4444-420-22-240-4400-40000000002-2000000000000000000000000000000000000000000000
χ818-8-888-40000-8-88-444-4044-4000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48000044-48-8-8-4044-4000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4000044-4-44420-2-22000000000000000000006-600000000000000000000000000000000000000000
χ848-8-88-4-4000044-4-44420-2-2200000000000000000000-6600000000000000000000000000000000000000000

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