Finite Group Databasebeta

← Group #11781586

Character table — Group #11781586

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444444466668888888121212121212121212121212121216161616161616161624242424242424242424363636364848487272
order1222334444666666346661212121212121212121288881212121212121244448824242424242424244121212121212121288121212122424242488884121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111
χ51111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111
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
χ92222222-2-222222222-222222-2-2-2-22-2-220000-222-2-2-2-222-2-200000000000000000000022-2-20000000000000
χ102222222-2-222222222-222222-2-2-2-22-2-220000-222-2-2-2-2-2-222000000000000000000000-2-2220000000000000
χ11222222-222-22222222-2222-2-222-2-2-222-22222-2-2-222-2-20000-2-22222-2-2-2-20000000000000000000000000000
χ12222222-222-22222222-2222-2-222-2-2-222-2-2-2-2-2-2-2-222-2-2000022-2-2-2-222220000000000000000000000000000
χ13222222-2-2-2-222222222222-2-2-2-222-2-2-2-200002-2-2-2-2220000000000000000000000000000000002i2i−2i−2i00000
χ14222222-2-2-2-222222222222-2-2-2-222-2-2-2-200002-2-2-2-222000000000000000000000000000000000−2i−2i2i2i00000
χ1522222-122222-12-1-12-12-1-1-122-1-122-122-10000-1-1-1-1-1-1-122220000000000222-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000
χ1622222-122222-12-1-12-12-1-1-122-1-122-122-10000-1-1-1-1-1-1-122220000000000-2-2-2111111-2-2-1-1-1-11111000000000
χ1722222-122222-12-1-12-12-1-1-122-1-122-122-10000-1-1-1-1-1-1-1-2-2-2-20000000000222-1-1-1-1-1-1-2-211111111000000000
χ1822222-122222-12-1-12-12-1-1-122-1-122-122-10000-1-1-1-1-1-1-1-2-2-2-20000000000-2-2-2111111221111-1-1-1-1000000000
χ1922222-12-2-222-12-1-12-1-2-1-1-12211-2-2-1-2-2-100001-1-1111122-2-20000000000000−i3i3−i3−i3i3i300-1-111−i3−i3i3i3000000000
χ2022222-12-2-222-12-1-12-1-2-1-1-12211-2-2-1-2-2-100001-1-1111122-2-20000000000000i3−i3i3i3−i3−i300-1-111i3i3−i3−i3000000000
χ2122222-12-2-222-12-1-12-1-2-1-1-12211-2-2-1-2-2-100001-1-11111-2-2220000000000000−i3i3−i3−i3i3i30011-1-1i3i3−i3−i3000000000
χ2222222-12-2-222-12-1-12-1-2-1-1-12211-2-2-1-2-2-100001-1-11111-2-2220000000000000i3−i3i3i3−i3−i30011-1-1−i3−i3i3i3000000000
χ232222-122222-12-122-1-12-1-1-1-1-122-1-12-1-1222222-1-1-1-1-1-1000022-1-1-1-1-1-1-1-12-1-122-1-1-1-1000000000000002-1-100
χ242222-122222-12-122-1-12-1-1-1-1-122-1-12-1-1222222-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1-211-2-2111100000000000000-21100
χ252222-122222-12-122-1-12-1-1-1-1-122-1-12-1-12-2-2-2-22-1-1-1-1-1-10000-2-2111111112-1-122-1-1-1-100000000000000-21100
χ262222-122222-12-122-1-12-1-1-1-1-122-1-12-1-12-2-2-2-22-1-1-1-1-1-10000-2-211111111-211-2-21111000000000000002-1-100
χ272222-12-222-2-12-122-1-1-2-1-1-1112211-2-1-1-22222-211-1-1110000-2-2-1-1-1-111110−i3i300−i3i3−i3i3000000000000000−i3i300
χ282222-12-222-2-12-122-1-1-2-1-1-1112211-2-1-1-22222-211-1-1110000-2-2-1-1-1-111110i3−i300i3−i3i3−i3000000000000000i3−i300
χ292222-12-222-2-12-122-1-1-2-1-1-1112211-2-1-1-2-2-2-2-2-211-1-1110000221111-1-1-1-10−i3i300−i3i3−i3i3000000000000000i3−i300
χ302222-12-222-2-12-122-1-1-2-1-1-1112211-2-1-1-2-2-2-2-2-211-1-1110000221111-1-1-1-10i3−i300i3−i3i3−i3000000000000000−i3i300
χ3122-2-222200-22-2-22-2-2202-2-22-20000200-222−2−202-200002-2002−222−2−222−2−2000000000002-20000002−22−200000
χ3222-2-222200-22-2-22-2-2202-2-22-20000200-222−2−202-20000-22002−222−2−222−2−200000000000-22000000−22−2200000
χ3322-2-222200-22-2-22-2-2202-2-22-20000200-2−2−22202-200002-200−22−2−222−2−222000000000002-2000000−22−2200000
χ3422-2-222200-22-2-22-2-2202-2-22-20000200-2−2−22202-20000-2200−22−2−222−2−22200000000000-220000002−22−200000
χ3522-2-222-20022-2-22-2-2202-2-2-220000-200222−2−20-220000002i−2i−2222−2−2−2−22200000000000002i−2i0000−i2i2i2−i200000
χ3622-2-222-20022-2-22-2-2202-2-2-220000-200222−2−20-22000000−2i2i−2222−2−2−2−2220000000000000−2i2i0000i2−i2−i2i200000
χ3722-2-222-20022-2-22-2-2202-2-2-220000-2002−2−2220-220000002i−2i2−2−2−22222−2−200000000000002i−2i0000i2−i2−i2i200000
χ3822-2-222-20022-2-22-2-2202-2-2-220000-2002−2−2220-22000000−2i2i2−2−2−22222−2−20000000000000−2i2i0000−i2i2i2−i200000
χ392-2-22220-220-22-2-2-2220-22-2002-20002-202i−2i2i−2i0002-2000000002i−2i2i−2i00000000000002−200002−22−20000000−i2i2
χ402-2-22220-220-22-2-2-2220-22-2002-20002-202i−2i2i−2i0002-2000000002i−2i2i−2i0000000000000−220000−22−220000000i2−i2
χ412-2-22220-220-22-2-2-2220-22-2002-20002-20−2i2i−2i2i0002-200000000−2i2i−2i2i00000000000002−200002−22−20000000i2−i2
χ422-2-22220-220-22-2-2-2220-22-2002-20002-20−2i2i−2i2i0002-200000000−2i2i−2i2i0000000000000−220000−22−220000000−i2i2
χ4344444-2-444-44-24-2-24-2-4-2-2-2-4-4-2-2-4-424420000222-2-222000000000000000000000000000000000000000000
χ4444444-2-4-4-4-44-24-2-24-24-2-2-2-4-422442-4-420000-22222-2-2000000000000000000000000000000000000000000
χ454444-244-4-44-24-244-2-2-4-2-2-2-2-2-4-42242240000-4-2-22222000000000000000000000000000000000000000000
χ464444-24-4-4-4-4-24-244-2-24-2-2-222-4-4-2-2-422-4000042222-2-2000000000000000000000000000000000000000000
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
χ494444-2-24-4-44-2-2-2-2-2-21-4111-2-22222-222-20000211-1-1-1-100000000000000000−2i32i3i3i3−i3−i30000000000000000000
χ504444-2-24-4-44-2-2-2-2-2-21-4111-2-22222-222-20000211-1-1-1-1000000000000000002i3−2i3−i3−i3i3i30000000000000000000
χ514444-2-2-444-4-2-2-2-2-2-21-411122-2-2222-2-2200002-1-111-1-1000000000000000−2i32i300i3−i3i3−i30000000000000000000
χ524444-2-2-444-4-2-2-2-2-2-21-411122-2-2222-2-2200002-1-111-1-10000000000000002i3−2i300−i3i3−i3i30000000000000000000
χ534444-2-2-4-4-4-4-2-2-2-2-2-2141112222-2-222220000-2-1-1-1-11100000000000000000003-3-330000000000000000000
χ544444-2-2-4-4-4-4-2-2-2-2-2-2141112222-2-222220000-2-1-1-1-1110000000000000000000-333-30000000000000000000
χ5544-4-44-2400-442-4-22-4-20-2224-40000-200200000-2200004-400000000000000000000000-22000000000000000
χ5644-4-44-2400-442-4-22-4-20-2224-40000-200200000-220000-44000000000000000000000002-2000000000000000
χ5744-4-44-2-400442-4-22-4-20-222-440000200-2000002-20000004i−4i00000000000000000000000−2i2i0000000000000
χ5844-4-44-2-400442-4-22-4-20-222-440000200-2000002-2000000−4i4i000000000000000000000002i−2i0000000000000
χ5944-4-4-24400-4-2-424-42-20-222-220000400-42222−22−220-220000000022−22−2−222−2−2220000000000000000000000000000
χ6044-4-4-24400-4-2-424-42-20-222-220000400-4−22−2222220-2200000000−222222−2−222−2−20000000000000000000000000000
χ6144-4-4-24-4004-2-424-42-20-2222-20000-40042222−22−2202-200000000−2222−2−22222−2−20000000000000000000000000000
χ6244-4-4-24-4004-2-424-42-20-2222-20000-4004−22−22222202-20000000022−2222−2−2−2−2220000000000000000000000000000
χ634-44-4440000-4-44-44-440-4-440000000000−2i22i22i2−2i20000000000000−2i22i22i2−2i200000000000000000000000000000000
χ644-44-4440000-4-44-44-440-4-4400000000002i2−2i2−2i22i200000000000002i2−2i2−2i22i200000000000000000000000000000000
χ654-44-4-2400002-4-2-442-2022-20000−2i32i30000−2i22i22i2−2i200000−2i32i3000000i2−i2−i2i26−66−60000000000000000000000000000
χ664-44-4-2400002-4-2-442-2022-20000−2i32i300002i2−2i2−2i22i200000−2i32i3000000−i2i2i2−i2−66−660000000000000000000000000000
χ674-44-4-2400002-4-2-442-2022-200002i3−2i30000−2i22i22i2−2i2000002i3−2i3000000i2−i2−i2i2−66−660000000000000000000000000000
χ684-44-4-2400002-4-2-442-2022-200002i3−2i300002i2−2i2−2i22i2000002i3−2i3000000−i2i2i2−i26−66−60000000000000000000000000000
χ694-4-444404-40-44-4-4-4440-44-400-44000-4400000000-4400000000000000000000000000000000000000000000
χ704-4-444-204-40-4-2-4224-202-22002-2000-44000000002-20000000000000000000000000000000i6−i6−i6i6000000000
χ714-4-444-204-40-4-2-4224-202-22002-2000-44000000002-20000000000000000000000000000000−i6i6i6−i6000000000
χ724-4-444-20-440-4-2-4224-202-2200-220004-400000000-22000000000000000000000000022−220000−22−22000000000
χ734-4-444-20-440-4-2-4224-202-2200-220004-400000000-220000000000000000000000000−222200002−22−2000000000
χ744-4-44-2404-40242-4-4-2-202-2200-440002-2000000002-200000000000023−23−23230000000000000000000000000000
χ754-4-44-2404-40242-4-4-2-202-2200-440002-2000000002-2000000000000−232323−230000000000000000000000000000
χ764-4-44-240-440242-4-4-2-202-22004-4000-2204i−4i4i−4i000-2200000000−2i2i−2i2i00000000000000000000000000000000
χ774-4-44-240-440242-4-4-2-202-22004-4000-220−4i4i−4i4i000-22000000002i−2i2i−2i00000000000000000000000000000000
χ7888-8-8-4-4800-8-444-444202-2-2-440000-4004000002-20000000000000000000000000000000000000000000000
χ7988-8-8-4-4-8008-444-444202-2-24-40000400-400000-220000000000000000000000000000000000000000000000
χ808-88-88-40000-8484-4-8-4044-4000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-4000044-44-4420-2-220000−4i34i300000000000002i3−2i3000000000000000000000000000000000000000000
χ828-88-8-4-4000044-44-4420-2-2200004i3−4i30000000000000−2i32i3000000000000000000000000000000000000000000
χ838-8-88-4-408-804-4444-420-22-2004-40004-400000000-2200000000000000000000000000000000000000000000
χ848-8-88-4-40-8804-4444-420-22-200-44000-44000000002-200000000000000000000000000000000000000000000

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