Finite Group Databasebeta

← Group #11781025

Character table — Group #11781025

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444444466668888888121212121212121212121212121216161616161616161624242424242424242424363636364848487272
order1222334444666666346661212121212121212121288881212121212121288888824242424242424244121212121212121288242424242424242422444121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111
χ51111111111111111111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ81111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1
χ92222222-22-22222222-22222-2-2-2-2-2222-22222-222-2-2-2-2-2-200002222-2-2-2-20000000000000000000000000000
χ102222222-22-22222222-22222-2-2-2-2-2222-2-2-2-2-2-222-2-2-2-2220000-2-2-2-222220000000000000000000000000000
χ11222222-22-222222222-2222-2222-2-2-2-2-220000-2-2-2-2-22200000000000000000000000000000000022-2-200000
χ12222222-22-222222222-2222-2222-2-2-2-2-220000-2-2-2-2-222000000000000000000000000000000000-2-22200000
χ13222222-2-2-2-222222222222-2-2-2-222-2-2-2-200002-2-222-2-2002i2i−2i−2i00000000000000000002i2i−2i−2i0000000000000
χ14222222-2-2-2-222222222222-2-2-2-222-2-2-2-200002-2-222-2-200−2i−2i2i2i0000000000000000000−2i−2i2i2i0000000000000
χ1522222-1222222-12-1-1-12-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-1220000-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000000002-1-100
χ1622222-1222222-12-1-1-12-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-1220000-1-1-1-1-1-1-1-1-2-2-211111100000000000000-21100
χ1722222-1222222-12-1-1-12-1-1-122-1-1-1-1-1-122-2-2-2-22-1-1-1-1-1-1-2-2000011111111222-1-1-1-1-1-100000000000000-21100
χ1822222-1222222-12-1-1-12-1-1-122-1-1-1-1-1-122-2-2-2-22-1-1-1-1-1-1-2-2000011111111-2-2-2111111000000000000002-1-100
χ1922222-12-22-222-12-1-1-1-2-1-1-12-21111-1-12-22222-2-1-11111-2-20000-1-1-1-11111000−i3i3−i3−i3i3i3000000000000000−i3i300
χ2022222-12-22-222-12-1-1-1-2-1-1-12-21111-1-12-22222-2-1-11111-2-20000-1-1-1-11111000i3−i3i3i3−i3−i3000000000000000i3−i300
χ2122222-12-22-222-12-1-1-1-2-1-1-12-21111-1-12-2-2-2-2-2-2-1-111112200001111-1-1-1-1000−i3i3−i3−i3i3i3000000000000000i3−i300
χ2222222-12-22-222-12-1-1-1-2-1-1-12-21111-1-12-2-2-2-2-2-2-1-111112200001111-1-1-1-1000i3−i3i3i3−i3−i3000000000000000−i3i300
χ232222-122222-1-12-122-12-1-1-1-1-1222222-1-10000-1-1-1-1-1-1-1002222000000002-1-122-1-1-1-122-1-1-1-1-1-1-1-1000000000
χ242222-122222-1-12-122-12-1-1-1-1-1222222-1-10000-1-1-1-1-1-1-100222200000000-211-2-21111-2-2-1-1-1-11111000000000
χ252222-122222-1-12-122-12-1-1-1-1-1222222-1-10000-1-1-1-1-1-1-100-2-2-2-2000000002-1-122-1-1-1-1-2-211111111000000000
χ262222-122222-1-12-122-12-1-1-1-1-1222222-1-10000-1-1-1-1-1-1-100-2-2-2-200000000-211-2-21111221111-1-1-1-1000000000
χ272222-12-2-2-2-2-1-12-122-12-1-1-111-2-222-2-2110000-111-1-111002i2i−2i−2i000000000−i3i300−i3i3−i3i300−i−iii33−3−3000000000
χ282222-12-2-2-2-2-1-12-122-12-1-1-111-2-222-2-2110000-111-1-111002i2i−2i−2i000000000i3−i300i3−i3i3−i300−i−iii−3−333000000000
χ292222-12-2-2-2-2-1-12-122-12-1-1-111-2-222-2-2110000-111-1-11100−2i−2i2i2i000000000−i3i300−i3i3−i3i300ii−i−i−3−333000000000
χ302222-12-2-2-2-2-1-12-122-12-1-1-111-2-222-2-2110000-111-1-11100−2i−2i2i2i000000000i3−i300i3−i3i3−i300ii−i−i33−3−3000000000
χ3122-2-222020-2-2-2-222-220-2-220-22-2000002−i2−i2i2i2000002-2−i2i22−22−2−i2−i2i2i2−i2−i2i2i2000000000002−22−20000002i−2i00000
χ3222-2-222020-2-2-2-222-220-2-220-22-2000002−i2−i2i2i2000002-2−i2i2−22−22−i2−i2i2i2−i2−i2i2i200000000000−22−22000000−2i2i00000
χ3322-2-222020-2-2-2-222-220-2-220-22-2000002i2i2−i2−i2000002-2i2−i22−22−2i2i2−i2−i2i2i2−i2−i2000000000002−22−2000000−2i2i00000
χ3422-2-222020-2-2-2-222-220-2-220-22-2000002i2i2−i2−i2000002-2i2−i2−22−22i2i2−i2−i2i2i2−i2−i200000000000−22−220000002i−2i00000
χ3522-2-2220-202-2-2-222-220-2-2202-2200000-2−i2−i2i2i200000-22i2−i2−i2i2i2−i2−i2−i2i2i2i2i2−i2−i200000000000−i2i2i2−i200002-20000000
χ3622-2-2220-202-2-2-222-220-2-2202-2200000-2−i2−i2i2i200000-22i2−i2i2−i2−i2i2−i2−i2i2i2i2i2−i2−i200000000000i2−i2−i2i20000-220000000
χ3722-2-2220-202-2-2-222-220-2-2202-2200000-2i2i2−i2−i200000-22−i2i2−i2i2i2−i2i2i2−i2−i2−i2−i2i2i200000000000−i2i2i2−i20000-220000000
χ3822-2-2220-202-2-2-222-220-2-2202-2200000-2i2i2−i2−i200000-22−i2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i200000000000i2−i2−i2i200002-20000000
χ392-2-2222-20202-22-2-2-2202-2-2-2000002-2202-22-202-200000000002-22-20000000000000−i2i20000−i2i2−i2i20000000−i2i2
χ402-2-2222-20202-22-2-2-2202-2-2-2000002-2202-22-202-200000000002-22-20000000000000i2−i20000i2−i2i2−i20000000i2−i2
χ412-2-2222-20202-22-2-2-2202-2-2-2000002-220-22-2202-20000000000-22-220000000000000−i2i20000−i2i2−i2i20000000i2−i2
χ422-2-2222-20202-22-2-2-2202-2-2-2000002-220-22-2202-20000000000-22-220000000000000i2−i20000i2−i2i2−i20000000−i2i2
χ4344444-2-44-4444-24-2-2-2-4-2-2-2-44-2-22222-440000-42222-2-2000000000000000000000000000000000000000000
χ4444444-2-4-4-4-444-24-2-2-24-2-2-2-4-422-2-222-4-40000422-2-222000000000000000000000000000000000000000000
χ454444-244-44-4-2-24-244-2-4-2-2-2-22-4-4-4-444-2200002-2-22222000000000000000000000000000000000000000000
χ464444-24-44-44-2-24-244-2-4-2-2-22-244-4-4-4-42-2000022222-2-2000000000000000000000000000000000000000000
χ474444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000-2111111000000000000004-2-2-2-211110000000000000000000
χ484444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000-211111100000000000000-42222-1-1-1-10000000000000000000
χ494444-2-24-44-4-2-2-2-2-2-21-4111-222222-2-2-220000211-1-1-1-100000000000000000−2i32i3i3i3−i3−i30000000000000000000
χ504444-2-24-44-4-2-2-2-2-2-21-4111-222222-2-2-220000211-1-1-1-1000000000000000002i3−2i3−i3−i3i3i30000000000000000000
χ514444-2-2-44-44-2-2-2-2-2-21-41112-2-2-222222-200002-1-1-1-11100000000000000000003-3-330000000000000000000
χ524444-2-2-44-44-2-2-2-2-2-21-41112-2-2-222222-200002-1-1-1-1110000000000000000000-333-30000000000000000000
χ534444-2-2-4-4-4-4-2-2-2-2-2-2141112222-2-222220000-2-1-111-1-1000000000000000−2i32i300i3−i3i3−i30000000000000000000
χ544444-2-2-4-4-4-4-2-2-2-2-2-2141112222-2-222220000-2-1-111-1-10000000000000002i3−2i300−i3i3−i3i30000000000000000000
χ5544-4-44-2040-4-4-424-22-2022-20-4-22000004−2i2−2i22i22i200000-22−2i22i20000i2i2−i2−i2i2i2−i2−i20000000000000000000000000000
χ5644-4-44-2040-4-4-424-22-2022-20-4-220000042i22i2−2i2−2i200000-222i2−2i20000−i2−i2i2i2−i2−i2i2i20000000000000000000000000000
χ5744-4-44-20-404-4-424-22-2022-2042-200000-4−2i2−2i22i22i2000002-22i2−2i20000i2i2−i2−i2−i2−i2i2i20000000000000000000000000000
χ5844-4-44-20-404-4-424-22-2022-2042-200000-42i22i2−2i2−2i2000002-2−2i22i20000−i2−i2i2i2i2i2−i2−i20000000000000000000000000000
χ5944-4-4-24040-422-4-24-4-2022-2024-400000-2000000000-220022−2222−220000000000000000000−22−220000000000000
χ6044-4-4-24040-422-4-24-4-2022-2024-400000-2000000000-2200−2222−222200000000000000000002−22−20000000000000
χ6144-4-4-240-40422-4-24-4-2022-20-2-440000020000000002-200−2i22i22i2−2i20000000000000000000i2−i2−i2i20000000000000
χ6244-4-4-240-40422-4-24-4-2022-20-2-440000020000000002-2002i2−2i2−2i22i20000000000000000000−i2i2i2−i20000000000000
χ634-44-4440000-44-4-4-4440-44-40000000000−2i22i22i2−2i20000000000000−2i22i22i2−2i200000000000000000000000000000000
χ644-44-4440000-44-4-4-4440-44-400000000002i2−2i2−2i22i200000000000002i2−2i2−2i22i200000000000000000000000000000000
χ654-44-44-20000-442-42-2-202-220000−2i32i30000−2i22i22i2−2i2000−2i32i300000000i2−i2−i2i26−66−60000000000000000000000000000
χ664-44-44-20000-442-42-2-202-220000−2i32i300002i2−2i2−2i22i2000−2i32i300000000−i2i2i2−i2−66−660000000000000000000000000000
χ674-44-44-20000-442-42-2-202-2200002i3−2i30000−2i22i22i2−2i20002i3−2i300000000i2−i2−i2i2−66−660000000000000000000000000000
χ684-44-44-20000-442-42-2-202-2200002i3−2i300002i2−2i2−2i22i20002i3−2i300000000−i2i2i2−i26−66−60000000000000000000000000000
χ694-4-444440-404-44-4-4-4404-4-4400000-44-4000000-440000000000000000000000000000000000000000000000
χ704-4-444-240-404-4-2-422-20-2224000002-2-40000002-200000000000000−2i32i32i3−2i30000000000000000000000000000
χ714-4-444-240-404-4-2-422-20-2224000002-2-40000002-2000000000000002i3−2i3−2i32i30000000000000000000000000000
χ724-4-444-2-40404-4-2-422-20-222-400000-22404-44-40-220000000000-22-2200000000000000000000000000000000
χ734-4-444-2-40404-4-2-422-20-222-400000-2240-44-440-2200000000002-22-200000000000000000000000000000000
χ744-4-44-2440-40-2242-4-4-20-222-200000-4420000002-2000000000000000000000000000000000i6−i6−i6i6000000000
χ754-4-44-2440-40-2242-4-4-20-222-200000-4420000002-2000000000000000000000000000000000−i6i6i6−i6000000000
χ764-4-44-24-4040-2242-4-4-20-2222000004-4-2000000-22000000000000000000000000000−2i22i20000i2−i2i2−i2000000000
χ774-4-44-24-4040-2242-4-4-20-2222000004-4-2000000-220000000000000000000000000002i2−2i20000−i2i2−i2i2000000000
χ7888-8-8-4-4080-8444-4-4420-2-2204-4400000-40000000002-2000000000000000000000000000000000000000000
χ7988-8-8-4-40-808444-4-4420-2-220-44-4000004000000000-22000000000000000000000000000000000000000000
χ808-88-8-4800004-4-84-88-404-44000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-400004-4444-420-22-20000−4i34i3000000000002i3−2i300000000000000000000000000000000000000000000
χ828-88-8-4-400004-4444-420-22-200004i3−4i300000000000−2i32i300000000000000000000000000000000000000000000
χ838-8-88-4-480-80-44-4444202-2-2-4000004-44000000-220000000000000000000000000000000000000000000000
χ848-8-88-4-4-8080-44-4444202-2-2400000-44-40000002-20000000000000000000000000000000000000000000000

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