Finite Group Databasebeta

← Group #11884252

Character table — Group #11884252

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order1222334466666622234666666612121212121212121212121244466666666661212121212121212121224488121212124444681212121212242424242288121228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111111-11-11-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1-1-1-11-11-11-1-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111-11-11111111-1-111-1-1-1-1-1-11111-111-1-11111-1-1-1-1-1-111-1-1-1-11-1-111-1-111-1-1111-1-1-1-11111-1-11111-11-1-1
χ61111111111111111-11-11111111-1-111-1-1-1-1-1-11111-111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-111-111-111-1-1-111-1-111-1-1-1-11-111
χ71111111111111111-11-11111111-1-111-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1111111-1-11-1-11-1-1111-1-111-1-1-1-1-1-1-1111
χ81111111111111111-11-11111111-1-111-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-111-1-111-1-1-11111-1-1-1-11111111-1-1-1
χ911111111111111-1-1111-1-1-1-111111111111111111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-11
χ1011111111111111-1-1111-1-1-1-111111111111111111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111-1-11111-11-111-11-1-1-1-1-1-1-1-111-1-1111-1
χ1111111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11-11-1-11-11111111111-1-1-1-11-1
χ1211111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-11
χ1311111111111111-1-1-11-1-1-1-1-1111-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111111-1-111-1-11111-1-11-1-111-1-111-1-1-1-1111-11-1
χ1411111111111111-1-1-11-1-1-1-1-1111-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1111-1-1111-111-1-1-1-11111-1-1-11-11
χ1511111111111111-1-1-11-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-11111111111-1111111-1-1-111-1-1-11-1-11111-1-111-1-11-1-11
χ1611111111111111-1-1-11-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-11111111111-111-1-111-1-1-1-111-111-1-111-1-111-1-111-111-1
χ17222222-2-22222220022-20000222-2-2-2-2-2-2-2-2-2-2-2-222000220000220000-2-20000-22-200-2-2220000-2020000000000000000
χ18222222-2-22222220022-20000222-2-2-2-2-2-2-2-2-2-2-2-2-2-2000220000220000-2-200002-220022-2-2000020-20000000000000000
χ19222222-2-222222200-222000022222-2-2222222-2-222000-2-20000-2-20000-2-20000-2-220022220000-20-20000000000000000
χ20222222-2-222222200-222000022222-2-2222222-2-2-2-2000-2-20000-2-20000-2-2000022-200-2-2-2-200002020000000000000000
χ2122222-1222-12-12-1222-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122200-1-1-1-12020-10-1-1-1-1-1000000000000
χ2222222-1222-12-12-1222-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-22222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2001111-20-201011111000000000000
χ2322222-1222-12-12-122-2-1-2-1-1-1-1-1-1-1-2-2-1-11111112222-222-21-1-1-1-111-2-211-1-111112-2-20011-1-1-2020-10111-1-1000000000000
χ2422222-1222-12-12-122-2-1-2-1-1-1-1-1-1-1-2-2-1-111111122-2-2-222-21-1-1-1-111-2-211-1-11111-22200-1-11120-2010-1-1-111000000000000
χ2522222-1222-12-12-1-2-22-121111-1-1-122-1-1-1-1-1-1-1-12222-2-2-22-11111-1-1-2-211-1-1111122200-1-1-1-1-20-20-10-11111000000000000
χ2622222-1222-12-12-1-2-22-121111-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2-22-11111-1-1-2-211-1-11111-2-2-20011112020101-1-1-1-1000000000000
χ2722222-1222-12-12-1-2-2-2-1-21111-1-1-1-2-2-1-111111122222-2-2-2111111122-1-1-1-1-1-1-1-12-2-20011-1-120-20-101-1-111000000000000
χ2822222-1222-12-12-1-2-2-2-1-21111-1-1-1-2-2-1-111111122-2-22-2-2-2111111122-1-1-1-1-1-1-1-1-22200-1-111-202010-111-1-1000000000000
χ2922222-1-2-22-12-12-1002-1-2−i3−i3i3i3-1-1-1-2-211111111-2-2220002-1−i3−i3i3i3-1-100−i3i311−i3−i3i3i3-22-20011-1-1000010-1−i3i3−i3i3000000000000
χ3022222-1-2-22-12-12-1002-1-2−i3−i3i3i3-1-1-1-2-211111111-2-2-2-20002-1−i3−i3i3i3-1-100−i3i311−i3−i3i3i32-2200-1-1110000-101i3−i3i3−i3000000000000
χ3122222-1-2-22-12-12-1002-1-2i3i3−i3−i3-1-1-1-2-211111111-2-2220002-1i3i3−i3−i3-1-100i3−i311i3i3−i3−i3-22-20011-1-1000010-1i3−i3i3−i3000000000000
χ3222222-1-2-22-12-12-1002-1-2i3i3−i3−i3-1-1-1-2-211111111-2-2-2-20002-1i3i3−i3−i3-1-100i3−i311i3i3−i3−i32-2200-1-1110000-101−i3i3−i3i3000000000000
χ3322222-1-2-22-12-12-100-2-12−i3−i3i3i3-1-1-12211-1-1-1-1-1-1-2-222000-21−i3−i3i3i31100i3−i311i3i3−i3−i3-2-2200-1-1-1-10000101i3−i3−i3i3000000000000
χ3422222-1-2-22-12-12-100-2-12−i3−i3i3i3-1-1-12211-1-1-1-1-1-1-2-2-2-2000-21−i3−i3i3i31100i3−i311i3i3−i3−i322-20011110000-10-1−i3i3i3−i3000000000000
χ3522222-1-2-22-12-12-100-2-12i3i3−i3−i3-1-1-12211-1-1-1-1-1-1-2-222000-21i3i3−i3−i31100−i3i311−i3−i3i3i3-2-2200-1-1-1-10000101−i3i3i3−i3000000000000
χ3622222-1-2-22-12-12-100-2-12i3i3−i3−i3-1-1-12211-1-1-1-1-1-1-2-2-2-2000-21i3i3−i3−i31100−i3i311−i3−i3i3i322-20011110000-10-1i3−i3−i3i3000000000000
χ372222-1222-12-12-12222-122222-1-1-1-1-12222-1-1-1-1-1-1002-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-100022000002020200000-1-1-1-10000-1-100
χ382222-1222-12-12-12222-122222-1-1-1-1-12222-1-1-1-1-1-1002-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-1000-2-200000-20-20-200000111100001100
χ392222-1222-12-12-1222-2-1-22222-1-1-11122-2-21111-1-100-2-1-11-2-1-1-1-11111-2-2-1-111110002200000-2020-200000-1-11100001-100
χ402222-1222-12-12-1222-2-1-22222-1-1-11122-2-21111-1-100-2-1-11-2-1-1-1-11111-2-2-1-11111000-2-20000020-2020000011-1-10000-1100
χ412222-1222-12-12-12-2-22-12-2-2-2-2-1-1-1-1-12222-1-1-1-1-1-100-211-121111-1-111-2-2-1-111110002200000-20-20200000-1-1-1-100001100
χ422222-1222-12-12-12-2-22-12-2-2-2-2-1-1-1-1-12222-1-1-1-1-1-100-211-121111-1-111-2-2-1-11111000-2-2000002020-20000011110000-1-100
χ432222-1222-12-12-12-2-2-2-1-2-2-2-2-2-1-1-11122-2-21111-1-1002111-2111111-1-122-1-1-1-1-1-1000220000020-20-200000-1-1110000-1100
χ442222-1222-12-12-12-2-2-2-1-2-2-2-2-2-1-1-11122-2-21111-1-1002111-2111111-1-122-1-1-1-1-1-1000-2-200000-202020000011-1-100001-100
χ452-2-2222-22-2-2-2-2222-20202-22-2-2-22002-20000002-20002-2002-22-20000002-200000000000000000000000000002-22-20000
χ462-2-2222-22-2-2-2-2222-20202-22-2-2-22002-20000002-20002-2002-22-20000002-20000000000000000000000000000-22-220000
χ472-2-2222-22-2-2-2-222-22020-22-22-2-22002-20000002-2000-2200-22-220000002-200000000000000000000000000002-2-220000
χ482-2-2222-22-2-2-2-222-22020-22-22-2-22002-20000002-2000-2200-22-220000002-20000000000000000000000000000-222-20000
χ494444-24-4-4-24-24-24004-2-40000-2-2-222-4-4-4-422222200000-240000-2-2000022000000000000000000000000000000000000
χ504444-24-4-4-24-24-2400-4-240000-2-2-2-2-2-4-444-2-2-2-222000002-4000022000022000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-244414-2-2-2-2111-2-2-2-2-2-21111-2-2004-2-2-2-2111111-2-2-2-211111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-244-41-4-2-2-2-211122-2-222-1-1-1-1-2-200-4-2-2221111-1-1222211-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2-4-44142222111-2-2-2-2-2-21111-2-200-422-2-2-1-1-1-111222211-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-4-4-41-4222211122-2-222-1-1-1-1-2-20042222-1-1-1-1-1-1-2-2-2-211111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-20041-4−2i3−2i32i32i3111222222-1-1-1-12200000-2-2i3i3−i3−i31100−2i32i3-1-1i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-20041-42i32i3−2i3−2i3111222222-1-1-1-12200000-2-2−i3−i3i3i311002i3−2i3-1-1−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-200-414−2i3−2i32i32i3111-2-222-2-21111220000022i3i3−i3−i3-1-1002i3−2i3-1-1−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-200-4142i32i3−2i3−2i3111-2-222-2-21111220000022−i3−i3i3i3-1-100−2i32i3-1-1i3i3−i3−i300000000000000000000000000000000
χ5944-4-444004-4-44-4-40004000004-4-40000000000004i−4i00000000000000000000000000004i−4i00000000000000000000000
χ6044-4-444004-4-44-4-40004000004-4-4000000000000−4i4i0000000000000000000000000000−4i4i00000000000000000000000
χ6144-4-44-20042-4-2-42000-200000-222000023−232323−23−23004i−4i00000000000000000000000000−2i32i3−2i2i00000000000000000000000
χ6244-4-44-20042-4-2-42000-200000-222000023−232323−23−2300−4i4i000000000000000000000000002i3−2i32i−2i00000000000000000000000
χ6344-4-44-20042-4-2-42000-200000-2220000−2323−23−232323004i−4i000000000000000000000000002i3−2i3−2i2i00000000000000000000000
χ6444-4-44-20042-4-2-42000-200000-2220000−2323−23−23232300−4i4i00000000000000000000000000−2i32i32i−2i00000000000000000000000
χ654-44-44400-444-4-4-4000400000-44-400000000000000000000000000000000000000−2i22i2000000000000000−2i22i20000000000
χ664-44-44400-444-4-4-4000400000-44-4000000000000000000000000000000000000002i2−2i20000000000000002i2−2i20000000000
χ674-44-4-240024-2-42-4000-2000002-2223−23000023−2323−230000000000000000000000000000−2i22i2000000000000000i2−i2i6−i600000000
χ684-44-4-240024-2-42-4000-2000002-2223−23000023−2323−2300000000000000000000000000002i2−2i2000000000000000−i2i2−i6i600000000
χ694-44-4-240024-2-42-4000-2000002-22−23230000−2323−23230000000000000000000000000000−2i22i2000000000000000i2−i2−i6i600000000
χ704-44-4-240024-2-42-4000-2000002-22−23230000−2323−232300000000000000000000000000002i2−2i2000000000000000−i2i2i6−i600000000
χ714-4-44444-4-4-4-4-444000400000-4-4400-44000000-4400000000000000000-44000000000000000000000000000000000000
χ724-4-444-24-4-42-424-2000-20−2i32i32i3−2i322-2002-2000000-440000000−2i32i32i3−2i30000002-2000000000000000000000000000000000000
χ734-4-444-24-4-42-424-2000-202i3−2i3−2i32i322-2002-2000000-4400000002i3−2i3−2i32i30000002-2000000000000000000000000000000000000
χ744-4-444-2-44-42-424-24-40-20-22-2222-200-220000004-40004-400-22-22000000-22000000000000000000000000000000000000
χ754-4-444-2-44-42-424-2-440-202-22-222-200-220000004-4000-44002-22-2000000-22000000000000000000000000000000000000
χ764-4-44-244-42-42-4-24000-20000022-200-440000002-20000000000000−2i32i3002-2−2i32i3−2i32i300000000000000000000000000000000
χ774-4-44-244-42-42-4-24000-20000022-200-440000002-200000000000002i3−2i3002-22i3−2i32i3−2i300000000000000000000000000000000
χ784-4-44-24-442-42-4-244-40-204-44-422-2004-4000000-22000-2200-22-22000000-22000000000000000000000000000000000000
χ794-4-44-24-442-42-4-24-440-20-44-4422-2004-4000000-220002-2002-22-2000000-22000000000000000000000000000000000000
χ804-4-44-2-24-42222-2-200010−2i32i32i3−2i3-1-11002-2003-3-332-20000000i3−i3−i3i33-3−2i32i300-11i3−i3i3−i300000000000000000000000000000000
χ814-4-44-2-24-42222-2-200010−2i32i32i3−2i3-1-11002-200-333-32-20000000i3−i3−i3i3-332i3−2i300-11−i3i3−i3i300000000000000000000000000000000
χ824-4-44-2-24-42222-2-2000102i3−2i3−2i32i3-1-11002-2003-3-332-20000000−i3i3i3−i33-32i3−2i300-11−i3i3−i3i300000000000000000000000000000000
χ834-4-44-2-24-42222-2-2000102i3−2i3−2i32i3-1-11002-200-333-32-20000000−i3i3i3−i3-33−2i32i300-11i3−i3i3−i300000000000000000000000000000000
χ844-4-44-2-2-442222-2-24-4010-22-22-1-1100-22003-3-33-22000-22001-11-1-3300001-13-3-3300000000000000000000000000000000
χ854-4-44-2-2-442222-2-24-4010-22-22-1-1100-2200-333-3-22000-22001-11-13-300001-1-333-300000000000000000000000000000000
χ864-4-44-2-2-442222-2-2-440102-22-2-1-1100-22003-3-33-220002-200-11-11-3300001-1-333-300000000000000000000000000000000
χ874-4-44-2-2-442222-2-2-440102-22-2-1-1100-2200-333-3-220002-200-11-113-300001-13-3-3300000000000000000000000000000000
χ8888-8-8-4800-4-8484-8000-400000-4440000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-444-4440002000002-2-2000043−43−23−232323000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400-444-4440002000002-2-20000−43432323−23−23000000000000000000000000000000000000000000000000000000000
χ918-88-88-400-8-484-84000-4000004-440000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-4004-4-4444000200000-22-243−430000−2323−2323000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4004-4-4444000200000-22-2−4343000023−2323−23000000000000000000000000000000000000000000000000000000000

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