Finite Group Databasebeta

← Group #11782400

Character table — Group #11782400

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222222444444444444444888888812121212121212121212121216161616161616161624242424242424242424242448484872727272
order1222334444666666346661212121212121212121212121212121212888824242424242424244121212121212121244881212121224242424412128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111
χ92222222-2-222222222-222222-2-2-2-2-222-2-222-2-2-2-222-2-22222-2-2-2-20000000000000000000000000000
χ102222222-2-222222222-222222-2-2-2-2-222-2-222-2-2-2-2-2-222-2-2-2-222220000000000000000000000000000
χ11222222-222-22222222-2222-2-222-2-22-2-22-2-2-222-2-20000000000000000000002-20022-2-200000000000
χ12222222-222-22222222-2222-2-222-2-22-2-22-2-2-222-2-2000000000000000000000-2200-2-22200000000000
χ13222222-2-2-2-222222222222-2-2-2-222-2-2-2-22-2-2-2-222000000000000000000000000000000000000002i−2i
χ14222222-2-2-2-222222222222-2-2-2-222-2-2-2-22-2-2-2-22200000000000000000000000000000000000000−2i2i
χ1522222-122222-12-1-12-12-1-1-1-1-12222-122-1-1-1-1-1-1-1-1000000000000222-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000
χ1622222-122222-12-1-12-12-1-1-1-1-12222-122-1-1-1-1-1-1-1-1000000000000222-1-1-1-1-1-1-2-2-2-2111111110000000
χ1722222-122222-12-1-12-12-1-1-1-1-12222-122-1-1-1-1-1-1-1-1000000000000-2-2-211111122-2-2-1-1-1-111110000000
χ1822222-122222-12-1-12-12-1-1-1-1-12222-122-1-1-1-1-1-1-1-1000000000000-2-2-2111111-2-2221111-1-1-1-10000000
χ1922222-1-222-22-12-1-12-1-2-1-1-11122-2-2-1-2-2-1111-1-111000000000000000−i3i3−i3−i3i3i32-200-1-111−i3−i3i3i30000000
χ2022222-1-222-22-12-1-12-1-2-1-1-11122-2-2-1-2-2-1111-1-111000000000000000−i3i3−i3−i3i3i3-220011-1-1i3i3−i3−i30000000
χ2122222-1-222-22-12-1-12-1-2-1-1-11122-2-2-1-2-2-1111-1-111000000000000000i3−i3i3i3−i3−i32-200-1-111i3i3−i3−i30000000
χ2222222-1-222-22-12-1-12-1-2-1-1-11122-2-2-1-2-2-1111-1-111000000000000000i3−i3i3i3−i3−i3-220011-1-1−i3−i3i3i30000000
χ232222-122222-12-122-1-12-1-1-122-1-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-10000000000002-1-10000
χ242222-122222-12-122-1-12-1-1-122-1-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-211-2-21111000000000000-2110000
χ252222-122222-12-122-1-12-1-1-122-1-1-1-12-1-122-1-1-1-1-1-1-2-2-2-2111111112-1-122-1-1-1-1000000000000-2110000
χ262222-122222-12-122-1-12-1-1-122-1-1-1-12-1-122-1-1-1-1-1-1-2-2-2-211111111-211-2-211110000000000002-1-10000
χ272222-122-2-22-12-122-1-1-2-1-1-1221111-2-1-1-2-2-1-1111122-2-2-1-1-1-111110−i3i300−i3i3−i3i30000000000000−i3i30000
χ282222-122-2-22-12-122-1-1-2-1-1-1221111-2-1-1-2-2-1-1111122-2-2-1-1-1-111110i3−i300i3−i3i3−i30000000000000i3−i30000
χ292222-122-2-22-12-122-1-1-2-1-1-1221111-2-1-1-2-2-1-11111-2-2221111-1-1-1-10−i3i300−i3i3−i3i30000000000000i3−i30000
χ302222-122-2-22-12-122-1-1-2-1-1-1221111-2-1-1-2-2-1-11111-2-2221111-1-1-1-10i3−i300i3−i3i3−i30000000000000−i3i30000
χ312-2-2222-2002-22-2-2-22202-2-22-2000002-2002-200002i−2i002i2i−2i−2i0000000000000002−200002−22−2000−i2i200
χ322-2-2222-2002-22-2-2-22202-2-22-2000002-2002-200002i−2i002i2i−2i−2i000000000000000−220000−22−22000i2−i200
χ332-2-2222-2002-22-2-2-22202-2-22-2000002-2002-20000−2i2i00−2i−2i2i2i0000000000000002−200002−22−2000i2−i200
χ342-2-2222-2002-22-2-2-22202-2-22-2000002-2002-20000−2i2i00−2i−2i2i2i000000000000000−220000−22−22000−i2i200
χ3544444-24-4-444-24-2-24-2-4-2-2-2-2-2-4-4-4-424422-2-222220000000000000000000000000000000000000000
χ3644444-2-4-4-4-44-24-2-24-24-2-2-222-4-4442-4-42-22222-2-20000000000000000000000000000000000000000
χ374444-24-444-4-24-244-2-2-4-2-2-2-4-4-2-2224224-422-2-2220000000000000000000000000000000000000000
χ384444-24-4-4-4-4-24-244-2-24-2-2-2-4-422-2-2-422-442222-2-20000000000000000000000000000000000000000
χ394444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2-21111110000000000004-2-2-2-211110000000000000000000
χ404444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2-2111111000000000000-42222-1-1-1-10000000000000000000
χ414444-2-24-4-44-2-2-2-2-2-21-4111-2-222222-2-22211-1-1-1-10000000000000−2i32i300i3−i3i3−i30000000000000000000
χ424444-2-24-4-44-2-2-2-2-2-21-4111-2-222222-2-22211-1-1-1-100000000000002i3−2i300−i3i3−i3i30000000000000000000
χ434444-2-2-444-4-2-2-2-2-2-21-411122-2-222-222-22-1-111-1-1000000000000000−2i32i3i3i3−i3−i30000000000000000000
χ444444-2-2-444-4-2-2-2-2-2-21-411122-2-222-222-22-1-111-1-10000000000000002i3−2i3−i3−i3i3i30000000000000000000
χ454444-2-2-4-4-4-4-2-2-2-2-2-2141112222-2-22222-2-1-1-1-111000000000000000003-3-330000000000000000000
χ464444-2-2-4-4-4-4-2-2-2-2-2-2141112222-2-22222-2-1-1-1-11100000000000000000-333-30000000000000000000
χ4744-4-44404-404-4-44-4-440-44-4004-400-40040004-4000000000000000000000000000000000000000000
χ4844-4-4440-4404-4-44-4-440-44-400-4400400-4000-44000000000000000000000000000000000000000000
χ4944-4-44-204-4042-4-22-4-202-22004-400200-2000-220000000000000000000000000000023−2300000000000
χ5044-4-44-204-4042-4-22-4-202-22004-400200-2000-2200000000000000000000000000000−232300000000000
χ5144-4-44-20-44042-4-22-4-202-2200-4400-20020002-2000000000000000000000000000−2i32i30000000000000
χ5244-4-44-20-44042-4-22-4-202-2200-4400-20020002-20000000000000000000000000002i3−2i30000000000000
χ5344-4-4-2404-40-2-424-42-202-2200-2200-4004000-22000000i6−i6i6−i6i6i6−i6−i60000000000000000000000000000
χ5444-4-4-2404-40-2-424-42-202-2200-2200-4004000-22000000−i6i6−i6i6−i6−i6i6i60000000000000000000000000000
χ5544-4-4-240-440-2-424-42-202-22002-200400-40002-2000000i6−i6i6−i6−i6−i6i6i60000000000000000000000000000
χ5644-4-4-240-440-2-424-42-202-22002-200400-40002-2000000−i6i6−i6i6i6i6−i6−i60000000000000000000000000000
χ574-44-4440000-4-44-44-440-4-440000000000000000000−2i22i20000−2i22i2−2i22i20000000000000000000000000000
χ584-44-4440000-4-44-44-440-4-4400000000000000000002i2−2i200002i2−2i22i2−2i20000000000000000000000000000
χ594-44-4-2400002-4-2-442-2022-20000−2i32i3000000000−2i32i300−2i22i26−6−66i2−i2i2−i20000000000000000000000000000
χ604-44-4-2400002-4-2-442-2022-20000−2i32i3000000000−2i32i3002i2−2i2−666−6−i2i2−i2i20000000000000000000000000000
χ614-44-4-2400002-4-2-442-2022-200002i3−2i30000000002i3−2i300−2i22i2−666−6i2−i2i2−i20000000000000000000000000000
χ624-44-4-2400002-4-2-442-2022-200002i3−2i30000000002i3−2i3002i2−2i26−6−66−i2i2−i2i20000000000000000000000000000
χ634-4-4444400-4-44-4-4-44404-4-4-4400000-4400-4400000000000000000000000000000000000000000000
χ644-4-444-2400-4-4-2-4224-20-2222-200000-44002-2000000000000000000000000000000000i6−i6−i6i60000000
χ654-4-444-2400-4-4-2-4224-20-2222-200000-44002-2000000000000000000000000000000000−i6i6i6−i60000000
χ664-4-444-2-4004-4-2-4224-20-222-22000004-400-2200000000000000000000000000022−220000−22−220000000
χ674-4-444-2-4004-4-2-4224-20-222-22000004-400-22000000000000000000000000000−222200002−22−20000000
χ684-4-44-24400-4242-4-4-2-20-222-44000002-2002-200000000000023−23−23230000000000000000000000000000
χ694-4-44-24400-4242-4-4-2-20-222-44000002-2002-2000000000000−232323−230000000000000000000000000000
χ704-4-44-24-4004242-4-4-2-20-2224-400000-2200-2200004i−4i00−2i−2i2i2i00000000000000000000000000000000
χ714-4-44-24-4004242-4-4-2-20-2224-400000-2200-220000−4i4i002i2i−2i−2i00000000000000000000000000000000
χ7288-8-8-4-408-80-444-44420-22-200-4400400-40002-2000000000000000000000000000000000000000000
χ7388-8-8-4-40-880-444-44420-22-2004-400-4004000-22000000000000000000000000000000000000000000
χ748-88-88-40000-8484-4-8-4044-4000000000000000000000000000000000000000000000000000000000
χ758-88-8-4-4000044-44-4420-2-220000−4i34i30000000002i3−2i30000000000000000000000000000000000000000
χ768-88-8-4-4000044-44-4420-2-2200004i3−4i3000000000−2i32i30000000000000000000000000000000000000000
χ778-8-88-4-4800-84-4444-4202-2-24-4000004-400-2200000000000000000000000000000000000000000000
χ788-8-88-4-4-80084-4444-4202-2-2-4400000-44002-200000000000000000000000000000000000000000000

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