Finite Group Databasebeta

← Group #11781033

Character table — Group #11781033

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222222244444444444448888888812121212121212121616161616161616161818181824242424242424242424242424242424242424243636144
order12223344446666663466612121212121212121212121212121212224488884121212121212121288886688881212242424242424242424242424884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11
χ51111111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1
χ61111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111111111-1
χ922222222-2-22222222-222222-2-2-222-2-2-222-2-2-2-222-2-200000000000000000220000-2-2000000000000000
χ1022222222-2-22222222-222222-2-2-222-2-2-222-2-2-2-2-2-22200000000000000000-2-2000022000000000000000
χ11222222-2-2222222222-2222-2-2222-2-22-2-2-2-222-2-200000000000000000222200000000000000000000-2-20
χ12222222-2-2222222222-2222-2-2222-2-22-2-2-2-222-2-200000000000000000-2-2-2-200000000000000000000220
χ13222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-2-2-22200002i2i−2i−2i0000000000000000000002i2i−2i−2i00000000000
χ14222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-2-2-2220000−2i−2i2i2i000000000000000000000−2i−2i2i2i00000000000
χ1522222-1222222-12-1-1-12-1-1-12-12-1-12-122-1-1-1-1-1-1-122220000222-1-1-1-1-1-10000-1-12200-1-10000-1-1-1-10000000
χ1622222-1222222-12-1-1-12-1-1-12-12-1-12-122-1-1-1-1-1-1-122220000-2-2-21111110000-1-1-2-200-1-1000011110000000
χ1722222-1222222-12-1-1-12-1-1-12-12-1-12-122-1-1-1-1-1-1-1-2-2-2-20000222-1-1-1-1-1-1000011-2-20011000011110000000
χ1822222-1222222-12-1-1-12-1-1-12-12-1-12-122-1-1-1-1-1-1-1-2-2-2-20000-2-2-21111110000112200110000-1-1-1-10000000
χ1922222-122-2-222-12-1-1-1-2-1-1-12-1-2112-1-2-21-1-1111122-2-20000000−i3i3−i3−i3i3i30000-1-10000110000−i3−i3i3i30000000
χ2022222-122-2-222-12-1-1-1-2-1-1-12-1-2112-1-2-21-1-1111122-2-20000000i3−i3i3i3−i3−i30000-1-10000110000i3i3−i3−i30000000
χ2122222-122-2-222-12-1-1-1-2-1-1-12-1-2112-1-2-21-1-11111-2-2220000000−i3i3−i3−i3i3i30000110000-1-10000i3i3−i3−i30000000
χ2222222-122-2-222-12-1-1-1-2-1-1-12-1-2112-1-2-21-1-11111-2-2220000000i3−i3i3i3−i3−i30000110000-1-10000−i3−i3i3i30000000
χ232222-122222-1-12-122-12-1-1-1-12-122-12-1-12-1-1-1-1-1-1000022222-1-122-1-1-1-1000000002200-1-1-1-10000-1-1-1-1000
χ242222-122222-1-12-122-12-1-1-1-12-122-12-1-12-1-1-1-1-1-100002222-211-2-2111100000000-2-200-1-1-1-100001111000
χ252222-122222-1-12-122-12-1-1-1-12-122-12-1-12-1-1-1-1-1-10000-2-2-2-22-1-122-1-1-1-100000000-2-200111100001111000
χ262222-122222-1-12-122-12-1-1-1-12-122-12-1-12-1-1-1-1-1-10000-2-2-2-2-211-2-2111100000000220011110000-1-1-1-1000
χ272222-12-2-2-2-2-1-12-122-12-1-1-11-21-2-21-21-121111-1-100002i2i−2i−2i0−i3i300−i3i3−i3i3000000000000−i−iii000033−3−3000
χ282222-12-2-2-2-2-1-12-122-12-1-1-11-21-2-21-21-121111-1-100002i2i−2i−2i0i3−i300i3−i3i3−i3000000000000−i−iii0000−3−333000
χ292222-12-2-2-2-2-1-12-122-12-1-1-11-21-2-21-21-121111-1-10000−2i−2i2i2i0−i3i300−i3i3−i3i3000000000000ii−i−i0000−3−333000
χ302222-12-2-2-2-2-1-12-122-12-1-1-11-21-2-21-21-121111-1-10000−2i−2i2i2i0i3−i300i3−i3i3−i3000000000000ii−i−i000033−3−3000
χ312-22-22200-222-2-2-2-22202-2-200-22-200200002-2000000000000000000022-2-200−i2i2−i2i2000000−i2i2−i2i2−i2i2−i2i2000
χ322-22-22200-222-2-2-2-22202-2-200-22-200200002-2000000000000000000022-2-200i2−i2i2−i2000000i2−i2i2−i2i2−i2i2−i2000
χ332-22-22200-222-2-2-2-22202-2-200-22-200200002-20000000000000000000-2-22200−i2i2i2−i2000000−i2i2−i2i2i2−i2i2−i2000
χ342-22-22200-222-2-2-2-22202-2-200-22-200200002-20000000000000000000-2-22200i2−i2−i2i2000000i2−i2i2−i2−i2i2−i2i2000
χ352-2-22222-200-222-2-2-220-22-22-2000-220002-20000002i−2i2−22−2000000000−i2i2−i2i20000002i−2i2−22−200000000−i2i20
χ362-2-22222-200-222-2-2-220-22-22-2000-220002-20000002i−2i−22−22000000000i2−i2i2−i20000002i−2i−22−2200000000i2−i20
χ372-2-22222-200-222-2-2-220-22-22-2000-220002-2000000−2i2i2−22−2000000000i2−i2i2−i2000000−2i2i2−22−200000000i2−i20
χ382-2-22222-200-222-2-2-220-22-22-2000-220002-2000000−2i2i−22−22000000000−i2i2−i2i2000000−2i2i−22−2200000000−i2i20
χ392-2-2222-2200-222-2-2-220-22-2-220002-2000-2200002-200−i2i2i2−i2000000000−i2i2−i2i22-2000000−i2i2i2−i200000000i2−i20
χ402-2-2222-2200-222-2-2-220-22-2-220002-2000-2200002-200i2−i2−i2i2000000000i2−i2i2−i22-2000000i2−i2−i2i200000000−i2i20
χ412-2-2222-2200-222-2-2-220-22-2-220002-2000-220000-2200−i2i2i2−i2000000000i2−i2i2−i2-22000000−i2i2i2−i200000000−i2i20
χ422-2-2222-2200-222-2-2-220-22-2-220002-2000-220000-2200i2−i2−i2i2000000000−i2i2−i2i2-22000000i2−i2−i2i200000000i2−i20
χ4344444-2-4-44444-24-2-2-2-4-2-2-2-424-2-2-424-4222-2-22200000000000000000000000000000000000000000000
χ4444444-2-4-4-4-444-24-2-2-24-2-2-2-42-422-42-44-22222-2-200000000000000000000000000000000000000000000
χ454444-2444-4-4-2-24-244-2-4-2-2-2-242-4-4-2422-4-2-2222200000000000000000000000000000000000000000000
χ464444-24-4-444-2-24-244-2-4-2-2-22-4-2442-4-22-422-2-22200000000000000000000000000000000000000000000
χ474444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2111111000000004-2-2-2-21111000000000000000000000000000
χ484444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-211111100000000-42222-1-1-1-1000000000000000000000000000
χ494444-2-244-4-4-2-2-2-2-2-21-4111-2-2222-2-222211-1-1-1-100000000000−2i32i3i3i3−i3−i3000000000000000000000000000
χ504444-2-244-4-4-2-2-2-2-2-21-4111-2-2222-2-222211-1-1-1-1000000000002i3−2i3−i3−i3i3i3000000000000000000000000000
χ514444-2-2-4-444-2-2-2-2-2-21-411122-2-2-222-222-1-111-1-100000000000003-3-33000000000000000000000000000
χ524444-2-2-4-444-2-2-2-2-2-21-411122-2-2-222-222-1-111-1-10000000000000-333-3000000000000000000000000000
χ534444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-2-2-1-1-1-111000000000−2i32i300i3−i3i3−i3000000000000000000000000000
χ544444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-2-2-1-1-1-1110000000002i3−2i300−i3i3−i3i3000000000000000000000000000
χ5544-4-4440000-4-4-444-440-4-44000000000000000000000000000000000−2i22i22i2−2i200000000000000000000000
χ5644-4-4440000-4-4-444-440-4-440000000000000000000000000000000002i2−2i2−2i22i200000000000000000000000
χ574-44-444004-44-4-4-4-44404-4-4004-4400-40000-440000000000000000000000000000000000000000000000
χ584-44-44-2004-44-42-42-2-20-2220042-200-400002-2000000000000000000000000000000000006−6−660000000
χ594-44-44-2004-44-42-42-2-20-2220042-200-400002-200000000000000000000000000000000000−666−60000000
χ604-44-44-200-444-42-42-2-20-22200-4-220040000-220000000000000000000000000−2i22i200000000i2−i2i2−i20000000
χ614-44-44-200-444-42-42-2-20-22200-4-220040000-2200000000000000000000000002i2−2i200000000−i2i2−i2i20000000
χ624-44-4-24004-4-22-42-44-20-22200-2-4400200002-2000000000000000000000000000000000000000i6−i6−i6i6000
χ634-44-4-24004-4-22-42-44-20-22200-2-4400200002-2000000000000000000000000000000000000000−i6i6i6−i6000
χ644-44-4-2400-44-22-42-44-20-2220024-400-20000-22000000000000000000000000000−2i22i20000000000i2−i2i2−i2000
χ654-44-4-2400-44-22-42-44-20-2220024-400-20000-220000000000000000000000000002i2−2i20000000000−i2i2−i2i2000
χ664-4-444-24-400-44-2-422-202-2242000-4-2000-220000004i−4i00000000000000000000000−2i2i000000000000000
χ674-4-444-24-400-44-2-422-202-2242000-4-2000-22000000−4i4i000000000000000000000002i−2i000000000000000
χ684-4-444-2-4400-44-2-422-202-22-4-2000420002-200004-40000000000000000000-22000000000000000000000
χ694-4-444-2-4400-44-2-422-202-22-4-2000420002-20000-4400000000000000000002-2000000000000000000000
χ704-4-44-244-4002-242-4-4-202-22-2-400024000-220000000022−2222−22000000000000000000000−22−2200000000000
χ714-4-44-244-4002-242-4-4-202-22-2-400024000-2200000000−2222−22220000000000000000000002−22−200000000000
χ724-4-44-24-44002-242-4-4-202-2224000-2-40002-200000000−2i22i22i2−2i2000000000000000000000i2−i2−i2i200000000000
χ734-4-44-24-44002-242-4-4-202-2224000-2-40002-2000000002i2−2i2−2i22i2000000000000000000000−i2i2i2−i200000000000
χ7488-8-88-40000-8-848-44-4044-4000000000000000000000000000000000000000000000000000000000000
χ7588-8-8-48000044-8-48-8-4044-4000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-40000444-4-4420-2-22000000000000006-600000000000000000000000000000000000000000000
χ7788-8-8-4-40000444-4-4420-2-2200000000000000-6600000000000000000000000000000000000000000000
χ788-88-8-4-4008-8-44444-4202-2-200-44-40040000-220000000000000000000000000000000000000000000000
χ798-88-8-4-400-88-44444-4202-2-2004-4400-400002-20000000000000000000000000000000000000000000000
χ808-8-88-4-48-8004-4-444420-22-2-440004-40002-2000000000000000000000000000000000000000000000000
χ818-8-88-4-4-88004-4-444420-22-24-4000-44000-22000000000000000000000000000000000000000000000000

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