Finite Group Databasebeta

← Group #11889220

Character table — Group #11889220

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order12223344666666234446661212121212121212121212121212121244466661212121212121212121212121212121224488121212124444681212121212242424242288121228
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
χ51111111111111111-1-11111-1-1-1-111111111111111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-11
χ61111111111111111-1-11111-1-1-1-111111111111111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-11111-11-111-11-1-1-1-1-1-1-1-111-1-1111-1
χ71111111111111111-1-11111-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-1-11-11111111111-1-1-1-11-1
χ81111111111111111-1-11111-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-11
χ911111111111111-1111-11111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-11111-1-11-1-111-1-111-1-111-1-111111-1-1-1
χ1011111111111111-1111-11111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-1-1-111-1-111-1-111-111-1-1-1-111-1-1-1-1-1111
χ1111111111111111-1111-11111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-11111-1-111-1-111-1-11-1-11111-1-1-1-1-1-11-111
χ1211111111111111-1111-11111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-111-1-1-1-111-111-1-111-1-111-1-1111111-11-1-1
χ1311111111111111-11-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-111-1-11111-1-1-1-111111-1-11111-1-1-111-11-1-1-1-11111-1-1-1-111-111-1
χ1411111111111111-11-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-111-1-11111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-111-1-11111-1-11-1-11
χ1511111111111111-11-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-111-1-11-1-1-1-111-1-11111-1-1-1-11111-11111-1-11111-1-1-1-1111-1-111-1-111-1-1-11-11
χ1611111111111111-11-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-111-1-11-1-1-1-111-1-11111-1-1-1-11111-111-1-1-1-1111-1-11-11111-1-1-1-111-1-1111-11-1
χ17222222-2-22222222200-22220000-2-2-2-2-2-2-2-2-2-2-2-22202222000000-2-200000000-22-20022-2-20000-2020000000000000000
χ18222222-2-22222222200-22220000-2-2-2-2-2-2-2-2-2-2-2-2-2-202222000000-2-2000000002-2200-2-222000020-20000000000000000
χ19222222-2-2222222-22002222000022-2-2222222-2-2220-2-2-2-2000000-2-200000000-2-220022220000-20-20000000000000000
χ20222222-2-2222222-22002222000022-2-2222222-2-2-2-20-2-2-2-2000000-2-20000000022-200-2-2-2-200002020000000000000000
χ2122222-1222-122-1-12-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122200-1-1-1-12020-10-1-1-1-1-1000000000000
χ2222222-1222-122-1-12-1222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2001111-20-201011111000000000000
χ2322222-1222-122-1-12-1-2-22-1-1-1111122-1-1-1-1-1-1-1-12222-22-1-1-1-2-2-2-211-1-11111111122200-1-1-1-1-20-20-10-11111000000000000
χ2422222-1222-122-1-12-1-2-22-1-1-1111122-1-1-1-1-1-1-1-122-2-2-22-1-1-1-2-2-2-211-1-111111111-2-2-20011112020101-1-1-1-1000000000000
χ2522222-1222-122-1-1-2-122-2-1-1-1-1-1-1-1-2-2-1-11111112222-2-2111-2-22211-1-1-1-1-1-111112-2-200-1-11120-20-101-1-111000000000000
χ2622222-1222-122-1-1-2-122-2-1-1-1-1-1-1-1-2-2-1-111111122-2-2-2-2111-2-22211-1-1-1-1-1-11111-2220011-1-1-202010-111-1-1000000000000
χ2722222-1222-122-1-1-2-1-2-2-2-1-1-11111-2-2-1-111111122222-211122-2-2-1-1-1-11111-1-1-1-12-2-200-1-111-2020-10111-1-1000000000000
χ2822222-1222-122-1-1-2-1-2-2-2-1-1-11111-2-2-1-111111122-2-22-211122-2-2-1-1-1-11111-1-1-1-1-2220011-1-120-2010-1-1-111000000000000
χ2922222-1-2-22-122-1-12-100-2-1-1-1−i3−i3i3i3-2-211111111-2-22202-1-1-10000−i3i311−i3−i3i3i3−i3−i3i3i3-22-200-1-111000010-1−i3i3−i3i3000000000000
χ3022222-1-2-22-122-1-12-100-2-1-1-1−i3−i3i3i3-2-211111111-2-2-2-202-1-1-10000−i3i311−i3−i3i3i3−i3−i3i3i32-220011-1-10000-101i3−i3i3−i3000000000000
χ3122222-1-2-22-122-1-12-100-2-1-1-1i3i3−i3−i3-2-211111111-2-22202-1-1-10000i3−i311i3i3−i3−i3i3i3−i3−i3-22-200-1-111000010-1i3−i3i3−i3000000000000
χ3222222-1-2-22-122-1-12-100-2-1-1-1i3i3−i3−i3-2-211111111-2-2-2-202-1-1-10000i3−i311i3i3−i3−i3i3i3−i3−i32-220011-1-10000-101−i3i3−i3i3000000000000
χ3322222-1-2-22-122-1-1-2-1002-1-1-1−i3−i3i3i32211-1-1-1-1-1-1-2-2220-21110000i3−i311−i3−i3i3i3i3i3−i3−i3-2-2200-1-1-1-10000101−i3i3i3−i3000000000000
χ3422222-1-2-22-122-1-1-2-1002-1-1-1−i3−i3i3i32211-1-1-1-1-1-1-2-2-2-20-21110000i3−i311−i3−i3i3i3i3i3−i3−i322-20011110000-10-1i3−i3−i3i3000000000000
χ3522222-1-2-22-122-1-1-2-1002-1-1-1i3i3−i3−i32211-1-1-1-1-1-1-2-2220-21110000−i3i311i3i3−i3−i3−i3−i3i3i3-2-2200-1-1-1-10000101i3−i3−i3i3000000000000
χ3622222-1-2-22-122-1-1-2-1002-1-1-1i3i3−i3−i32211-1-1-1-1-1-1-2-2-2-20-21110000−i3i311i3i3−i3−i3−i3−i3i3i322-20011110000-10-1−i3i3i3−i3000000000000
χ372222-1222-12-1-1222-1222-1-1-12222-1-12222-1-1-1-1-1-1002-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100022000002020200000-1-1-1-10000-1-100
χ382222-1222-12-1-1222-1222-1-1-12222-1-12222-1-1-1-1-1-1002-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1000-2-200000-20-20-200000111100001100
χ392222-1222-12-1-1222-1-2-22-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-100-2-12-1-11111-2-2-1-1111111110002200000-20-20200000-1-1-1-100001100
χ402222-1222-12-1-1222-1-2-22-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-100-2-12-1-11111-2-2-1-111111111000-2-2000002020-20000011110000-1-100
χ412222-1222-12-1-122-2-122-2-1-1-122221122-2-21111-1-100-21-21111-1-1-2-2-1-1-1-1-1-111110002200000-2020-200000-1-1110000-1100
χ422222-1222-12-1-122-2-122-2-1-1-122221122-2-21111-1-100-21-21111-1-1-2-2-1-1-1-1-1-11111000-2-20000020-2020000011-1-100001-100
χ432222-1222-12-1-122-2-1-2-2-2-1-1-1-2-2-2-21122-2-21111-1-10021-211-1-11122-1-11111-1-1-1-1000220000020-20-200000-1-11100001-100
χ442222-1222-12-1-122-2-1-2-2-2-1-1-1-2-2-2-21122-2-21111-1-10021-211-1-11122-1-11111-1-1-1-1000-2-200000-202020000011-1-10000-1100
χ452-2-22222-2-2-22-22-2022i−2i02-2-22i−2i2i−2i002-20000002-20000000002i−2i002-22i−2i2i−2i00000000000000000000000000002-22i−2i0000
χ462-2-22222-2-2-22-22-2022i−2i02-2-22i−2i2i−2i002-20000002-20000000002i−2i002-22i−2i2i−2i0000000000000000000000000000-22−2i2i0000
χ472-2-22222-2-2-22-22-202−2i2i02-2-2−2i2i−2i2i002-20000002-2000000000−2i2i002-2−2i2i−2i2i00000000000000000000000000002-2−2i2i0000
χ482-2-22222-2-2-22-22-202−2i2i02-2-2−2i2i−2i2i002-20000002-2000000000−2i2i002-2−2i2i−2i2i0000000000000000000000000000-222i−2i0000
χ494444-24-4-4-24-2-2444-200-4-2-2-2000022-4-4-4-4222222000-24-2-2000000220000000000000000000000000000000000000000
χ504444-24-4-4-24-2-244-4-2004-2-2-20000-2-2-4-444-2-2-2-2220002-422000000220000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-241444111-2-2-2-2-2-2-2-2-2-21111-2-2004-2-211-2-2-2-2-2-2111111111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-241-4-441112222-2-2-2-2-2-21111-2-200-4-2-21122222211-1-1-1-1-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2-4144-4111-2-2-2-222-2-222-1-1-1-1-2-200-422-1-122-2-222111111-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-41-4-4-4111222222-2-222-1-1-1-1-2-200422-1-1-2-222-2-211-1-1-1-1111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-24100-4111−2i3−2i32i32i3222222-1-1-1-122000-2-2110000−2i32i3-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-24100-41112i32i3−2i3−2i3222222-1-1-1-122000-2-21100002i3−2i3-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-41004111−2i3−2i32i32i3-2-222-2-211112200022-1-100002i3−2i3-1-1i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-410041112i32i3−2i3−2i3-2-222-2-211112200022-1-10000−2i32i3-1-1−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000
χ5944-4-444004-4-4-4-4404000-44-400000000000000004i−4i000000000000000000000000004i−4i0000000000000000000000000
χ6044-4-444004-4-4-4-4404000-44-40000000000000000−4i4i00000000000000000000000000−4i4i0000000000000000000000000
χ6144-4-44-20042-4-42-20-20002-220000000023−232323−23−23004i−4i00000000000000000000000000−2i2i−2i32i300000000000000000000000
χ6244-4-44-20042-4-42-20-20002-220000000023−232323−23−2300−4i4i000000000000000000000000002i−2i2i3−2i300000000000000000000000
χ6344-4-44-20042-4-42-20-20002-2200000000−2323−23−232323004i−4i00000000000000000000000000−2i2i2i3−2i300000000000000000000000
χ6444-4-44-20042-4-42-20-20002-2200000000−2323−23−23232300−4i4i000000000000000000000000002i−2i−2i32i300000000000000000000000
χ654-44-44400-44-44-4-404000-4-44000000000000000000000000000000000000000000−2i22i2000000000000000−2i22i20000000000
χ664-44-44400-44-44-4-404000-4-440000000000000000000000000000000000000000002i2−2i20000000000000002i2−2i20000000000
χ674-44-4-2400242-2-4-40-200022-2000023−23000023−2323−230000000000000000000000000000−2i22i2000000000000000i2−i2i6−i600000000
χ684-44-4-2400242-2-4-40-200022-2000023−23000023−2323−2300000000000000000000000000002i2−2i2000000000000000−i2i2−i6i600000000
χ694-44-4-2400242-2-4-40-200022-20000−23230000−2323−23230000000000000000000000000000−2i22i2000000000000000i2−i2−i6i600000000
χ704-44-4-2400242-2-4-40-200022-20000−23230000−2323−232300000000000000000000000000002i2−2i2000000000000000−i2i2i6−i600000000
χ714-4-4444-44-4-44-44-4040004-4-4000000-44000000-440000000000000-440000000000000000000000000000000000000000
χ724-4-444-24-4-424-4-220-24i−4i0-222−2i2i−2i2i00-220000004-40000000004i−4i00-22−2i2i−2i2i000000000000000000000000000000000000
χ734-4-444-24-4-424-4-220-2−4i4i0-2222i−2i2i−2i00-220000004-4000000000−4i4i00-222i−2i2i−2i000000000000000000000000000000000000
χ744-4-444-2-44-424-4-220-2000-22223−23−2323002-2000000-4400000000000002-223−23−2323000000000000000000000000000000000000
χ754-4-444-2-44-424-4-220-2000-222−232323−23002-2000000-4400000000000002-2−232323−23000000000000000000000000000000000000
χ764-4-44-244-42-4-224-40-24i−4i0-2224i−4i4i−4i004-4000000-22000000000−2i2i00-22−2i2i−2i2i000000000000000000000000000000000000
χ774-4-44-244-42-4-224-40-2−4i4i0-222−4i4i−4i4i004-4000000-220000000002i−2i00-222i−2i2i−2i000000000000000000000000000000000000
χ784-4-44-24-442-4-224-40-2000-222000000-440000002-2000000023−2300002-2000023−2323−2300000000000000000000000000000000
χ794-4-44-24-442-4-224-40-2000-222000000-440000002-20000000−232300002-20000−2323−232300000000000000000000000000000000
χ804-4-44-2-24-422-22-22014i−4i01-1-1−2i2i−2i2i00-22003-3-33-22000003-300−2i2i001-1i−ii−i3i−3i−3i3i00000000000000000000000000000000
χ814-4-44-2-24-422-22-22014i−4i01-1-1−2i2i−2i2i00-2200-333-3-2200000-3300−2i2i001-1i−ii−i−3i3i3i−3i00000000000000000000000000000000
χ824-4-44-2-24-422-22-2201−4i4i01-1-12i−2i2i−2i00-22003-3-33-22000003-3002i−2i001-1−ii−ii−3i3i3i−3i00000000000000000000000000000000
χ834-4-44-2-24-422-22-2201−4i4i01-1-12i−2i2i−2i00-2200-333-3-2200000-33002i−2i001-1−ii−ii3i−3i−3i3i00000000000000000000000000000000
χ844-4-44-2-2-4422-22-22010001-1-123−23−2323002-2003-3-332-200000-3323−230000-11−333−3−33−3300000000000000000000000000000000
χ854-4-44-2-2-4422-22-22010001-1-123−23−2323002-200-333-32-2000003-3−23230000-11−333−33−33−300000000000000000000000000000000
χ864-4-44-2-2-4422-22-22010001-1-1−232323−23002-2003-3-332-200000-33−23230000-113−3−333−33−300000000000000000000000000000000
χ874-4-44-2-2-4422-22-22010001-1-1−232323−23002-200-333-32-2000003-323−230000-113−3−33−33−3300000000000000000000000000000000
χ8888-8-8-4800-4-844-880-40004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-44444-402000-22-20000000043−43−23−232323000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400-44444-402000-22-200000000−43432323−23−23000000000000000000000000000000000000000000000000000000000
χ918-88-88-400-8-4-88440-400044-400000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-4004-44-44402000-2-22000043−430000−2323−2323000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4004-44-44402000-2-220000−4343000023−2323−23000000000000000000000000000000000000000000000000000000000

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