Finite Group Databasebeta

← Group #11898359

Character table — Group #11898359

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order12223344446666663466612121212121212124444246612121212121212121212444444888812121212121212126661212128888441212121212121212242424248824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-11-11-1-111-1-11-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11-1-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-1-1-11-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-11111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-111-1-111-11111-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1-1-1-1-11-1-11111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1111111-1-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-11-1-11111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-11111-1-111
χ9111111-1-1111111111-1111-1-1-1-1111111-1-11-111-1-1-1-1-1-1-1-111-11-1-11111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-11111-1-1111-1-111-11
χ10111111-1-1111111111-1111-1-1-1-1111111-1-11-111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1111111-1-1-111111-1-111-1-11-1
χ11111111-1-1111111111-1111-1-1-1-1111111-1-1-11-1-1-111-1-1-1-1-111-111111-1-11111-1-11111-1-1-11111111-1-1-111-1-1-1-11-1-111-1-1-11
χ12111111-1-1111111111-1111-1-1-1-1111111-1-1-11-1-1-111-1-1-1-1-111-1111-1-111-1-111-1-11111-1-1-1111-1-1-1-1-11-1-1-1-1-111111-1-1111-1
χ13111111-1-1111111111-1111-1-1-1-11111-1-1111-111-1-1-1-1-1-1-1-1111-1111111-1-1-1-1111111111-1-1-11111-1-1111-1-1-1-1-111-1-1-1-11-1
χ14111111-1-1111111111-1111-1-1-1-11111-1-1111-111-1-1-1-1-1-1-1-1111-111-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11111-11
χ15111111-1-1111111111-1111-1-1-1-11111-1-111-11-1-1-111-1-1-1-1-1111-1-1-111-1-111-1-111-1-1-1-1-1-1-1111-1-1-1-11-111111-1-1-1-1-111111-1
χ16111111-1-1111111111-1111-1-1-1-11111-1-111-11-1-1-111-1-1-1-1-1111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-11111111111-1-11111-111-1-1-1-1-11
χ1722222222-2-22222222-22222222-2-2-2-222220000-200-222-2-2-2-2-2-20000000022220000000000000000-2000000-200000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-20000-200-222-2-2-2-22200000000-2-2-2-200000000000000002000000200000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-200002002-2-222-2-22-20000000022-2-200000000000000002000000-200000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22200002002-2-222-2-2-2200000000-2-2220000000000000000-2000000200000000
χ2122222-1222222-12-1-1-12-1-1-122-1-12-1-12222222-1-12-1-1-1-1-1-1-1-1-12222000000-1-1-1-1-1-1-1-12-1-12-1-1000020-100-1-100-100000000
χ2222222-1222222-12-1-1-12-1-1-122-1-12-1-122222-2-211211-1-1-1-1-1-1-122-2-2000000-1-1-1-11111-211-2110000-20-1001100-100000000
χ2322222-1222222-12-1-1-12-1-1-122-1-12-1-12-2-2-2-222-1-12-1-1-1-1-1-1-1-1-1-2-2-2-2000000111111112-1-12-1-10000-201001100100000000
χ2422222-1222222-12-1-1-12-1-1-122-1-12-1-12-2-2-2-2-2-211211-1-1-1-1-1-1-1-2-2220000001111-1-1-1-1-211-211000020100-1-100100000000
χ2522222-122-2-222-12-1-1-1-2-1-1-122-1-1-211-2222200−i3i3-2−i3i31-1-11111-2-200000000-1-1-1-1−i3−i3i3i30−i3i30−i3i3000000100−i3i300100000000
χ2622222-122-2-222-12-1-1-1-2-1-1-122-1-1-211-2222200i3−i3-2i3−i31-1-11111-2-200000000-1-1-1-1i3i3−i3−i30i3−i30i3−i3000000100i3−i300100000000
χ2722222-122-2-222-12-1-1-1-2-1-1-122-1-1-211-2-2-2-2-200−i3i3-2−i3i31-1-1111122000000001111i3i3−i3−i30−i3i30−i3i3000000-100i3−i300-100000000
χ2822222-122-2-222-12-1-1-1-2-1-1-122-1-1-211-2-2-2-2-200i3−i3-2i3−i31-1-1111122000000001111−i3−i3i3i30i3−i30i3−i3000000-100−i3i300-100000000
χ2922222-1-2-22222-12-1-1-1-2-1-1-1-2-2112-1-1222-2-22-2-1-1-21111111-1-1-22-2-2000000-1-11111112-1-1-211000020100-1-100-100000000
χ3022222-1-2-22222-12-1-1-1-2-1-1-1-2-2112-1-1222-2-2-2211-2-1-111111-1-1-2222000000-1-111-1-1-1-1-2112-1-10000-201001100-100000000
χ3122222-1-2-22222-12-1-1-1-2-1-1-1-2-2112-1-12-2-2222-2-1-1-21111111-1-12-22200000011-1-1-1-1-1-12-1-1-2110000-20-1001100100000000
χ3222222-1-2-22222-12-1-1-1-2-1-1-1-2-2112-1-12-2-222-2211-2-1-111111-1-12-2-2-200000011-1-11111-2112-1-1000020-100-1-100100000000
χ3322222-1-2-2-2-222-12-1-1-12-1-1-1-2-211-211-222-2-200−i3i32i3−i3-111-1-1112-200000000-1-111i3i3−i3−i30−i3i30i3−i3000000-100−i3i300100000000
χ3422222-1-2-2-2-222-12-1-1-12-1-1-1-2-211-211-222-2-200i3−i32−i3i3-111-1-1112-200000000-1-111−i3−i3i3i30i3−i30−i3i3000000-100i3−i300100000000
χ3522222-1-2-2-2-222-12-1-1-12-1-1-1-2-211-211-2-2-22200−i3i32i3−i3-111-1-111-220000000011-1-1−i3−i3i3i30−i3i30i3−i3000000100i3−i300-100000000
χ3622222-1-2-2-2-222-12-1-1-12-1-1-1-2-211-211-2-2-22200i3−i32−i3i3-111-1-111-220000000011-1-1i3i3−i3−i30i3−i30−i3i3000000100−i3i300-100000000
χ372222-122222-1-12-122-12-1-1-1-1-122-122-100002222-1222-1-1-1-1-1-1000022222200000000-1-1-1-1-1-10000020-1-100-1-10-1-1-1-10000
χ382222-122222-1-12-122-12-1-1-1-1-122-122-100002222-1222-1-1-1-1-1-10000-2-2-2-2-2-200000000-1-1-1-1-1-100000-20110011011110000
χ392222-122222-1-12-122-12-1-1-1-1-122-122-10000-2-2-2-2-1-2-22-1-1-1-1-1-1000022-2-2-2-2000000001111110000020-1-100-1-1011110000
χ402222-122222-1-12-122-12-1-1-1-1-122-122-10000-2-2-2-2-1-2-22-1-1-1-1-1-10000-2-222220000000011111100000-201100110-1-1-1-10000
χ412222-12-2-222-1-12-122-1-2-1-1-111-2-2-122-100002-2221-2-2-21111-1-100002222-2-200000000-1-1-111100000-20-1-100110-1-1110000
χ422222-12-2-222-1-12-122-1-2-1-1-111-2-2-122-100002-2221-2-2-21111-1-10000-2-2-2-22200000000-1-1-111100000201100-1-1011-1-10000
χ432222-12-2-222-1-12-122-1-2-1-1-111-2-2-122-10000-22-2-2122-21111-1-1000022-2-22200000000111-1-1-100000-20-1-10011011-1-10000
χ442222-12-2-222-1-12-122-1-2-1-1-111-2-2-122-10000-22-2-2122-21111-1-10000-2-222-2-200000000111-1-1-100000201100-1-10-1-1110000
χ452-22-2222i−2i00-22-2-2-22202-2-22i−2i2i−2i00002i−2i2-2000000002i−2i00000000002−2−i2i22i−2i2-2000000000022−2−200000000002−2−i2i2−i2i200
χ462-22-2222i−2i00-22-2-2-22202-2-22i−2i2i−2i00002i−2i2-2000000002i−2i0000000000−22i2−i22i−2i2-20000000000−2−2220000000000−22i2−i2i2−i200
χ472-22-2222i−2i00-22-2-2-22202-2-22i−2i2i−2i0000−2i2i-22000000002i−2i00000000002−2−i2i2−2i2i-220000000000−2−22200000000002−2−i2i2i2−i200
χ482-22-2222i−2i00-22-2-2-22202-2-22i−2i2i−2i0000−2i2i-22000000002i−2i0000000000−22i2−i2−2i2i-22000000000022−2−20000000000−22i2−i2−i2i200
χ492-22-222−2i2i00-22-2-2-22202-2-2−2i2i−2i2i00002i−2i-2200000000−2i2i00000000002−2i2−i22i−2i-220000000000−2−22200000000002−2i2−i2−i2i200
χ502-22-222−2i2i00-22-2-2-22202-2-2−2i2i−2i2i00002i−2i-2200000000−2i2i0000000000−22−i2i22i−2i-22000000000022−2−20000000000−22−i2i2i2−i200
χ512-22-222−2i2i00-22-2-2-22202-2-2−2i2i−2i2i0000−2i2i2-200000000−2i2i00000000002−2i2−i2−2i2i2-2000000000022−2−200000000002−2i2−i2i2−i200
χ522-22-222−2i2i00-22-2-2-22202-2-2−2i2i−2i2i0000−2i2i2-200000000−2i2i0000000000−22−i2i2−2i2i2-20000000000−2−2220000000000−22−i2i2−i2i200
χ532-2-2222002-2-2-2-222-220-2-22000022-2-200000000000000002-2002i−2i2i−2i000000002i−2i2i−2i0000002-22-20002i−2i0000000000000
χ542-2-2222002-2-2-2-222-220-2-22000022-2-200000000000000002-2002i−2i−2i2i000000002i−2i2i−2i000000-22-22000−2i2i0000000000000
χ552-2-2222002-2-2-2-222-220-2-22000022-2-200000000000000002-200−2i2i2i−2i00000000−2i2i−2i2i000000-22-220002i−2i0000000000000
χ562-2-2222002-2-2-2-222-220-2-22000022-2-200000000000000002-200−2i2i−2i2i00000000−2i2i−2i2i0000002-22-2000−2i2i0000000000000
χ574444-2444-4-4-2-24-244-2-4-2-2-2-2-2442-4-4200000000200-4-2-222220000000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-24-244-24-2-2-222-4-42-4-4200000000-200422-2-2220000000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2000044-2-2-2-2-2-2111111000000000000000000-211-2110000000000000000000000
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-20000-4-422-222-21111110000000000000000002-1-12-1-10000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-22222000000−2i32i32−2i32i3211-1-1-1-10000000000000000000i3−i30i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-222220000002i3−2i322i3−2i3211-1-1-1-10000000000000000000−i3i30−i3i30000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-41112222-2-2-2-200004-4-2-22222-1-1-1-111000000000000000000-2112-1-10000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-41112222-2-2-2-20000-44222-2-22-1-1-1-1110000000000000000002-1-1-2110000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000−2i32i3-22i3−2i3-2-1-111-1-10000000000000000000i3−i30−i3i30000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-214111222222220000002i3−2i3-2−2i32i3-2-1-111-1-10000000000000000000−i3i30i3−i30000000000000000000000
χ6744-4-44400004-44-4-4-440-44-40000000000000000000000000000000000000000000000000022−22−2222000000000000000000
χ6844-4-44400004-44-4-4-440-44-400000000000000000000000000000000000000000000000000−222222−22000000000000000000
χ694-44-44-24i−4i00-442-42-2-20-2224i−4i−2i2i00004i−4i4-400000000−2i2i00000000000000−2i2i-2200000000000000000000000000000000
χ704-44-44-24i−4i00-442-42-2-20-2224i−4i−2i2i0000−4i4i-4400000000−2i2i000000000000002i−2i2-200000000000000000000000000000000
χ714-44-44-2−4i4i00-442-42-2-20-222−4i4i2i−2i00004i−4i-44000000002i−2i00000000000000−2i2i2-200000000000000000000000000000000
χ724-44-44-2−4i4i00-442-42-2-20-222−4i4i2i−2i0000−4i4i4-4000000002i−2i000000000000002i−2i-2200000000000000000000000000000000
χ734-44-4-244i−4i002-2-42-44-20-222−2i2i4i−4i0000000000000000−2i2i000000000022−22−2i22i20000000000000000000000000000−22i2−i20000
χ744-44-4-244i−4i002-2-42-44-20-222−2i2i4i−4i0000000000000000−2i2i0000000000−22222i2−2i200000000000000000000000000002−2−i2i20000
χ754-44-4-24−4i4i002-2-42-44-20-2222i−2i−4i4i00000000000000002i−2i000000000022−222i2−2i20000000000000000000000000000−22−i2i20000
χ764-44-4-24−4i4i002-2-42-44-20-2222i−2i−4i4i00000000000000002i−2i0000000000−2222−2i22i200000000000000000000000000002−2i2−i20000
χ774-4-444400-44-4-4-444-440-4-440000-4-4440000000000000000-440000000000000000000000000000000000000000000000
χ784-4-444-2004-4-4-424-22-2022-200004-22-40000000000000000-22004i−4i0000000000−2i2i−2i2i0000000000000000000000000000
χ794-4-444-2004-4-4-424-22-2022-200004-22-40000000000000000-2200−4i4i00000000002i−2i2i−2i0000000000000000000000000000
χ804-4-444-200-44-4-424-22-2022-20000-42-2400000000000000002-20000000000000023−23−23230000000000000000000000000000
χ814-4-444-200-44-4-424-22-2022-20000-42-2400000000000000002-200000000000000−232323−230000000000000000000000000000
χ824-4-44-24004-422-4-24-4-2022-20000-24-420000000000000000-2200004i−4i0000000000000000000000000−2i2i0000000000000
χ834-4-44-24004-422-4-24-4-2022-20000-24-420000000000000000-220000−4i4i00000000000000000000000002i−2i0000000000000
χ844-4-44-2400-4422-4-24-4-2022-200002-44-200000000000000002-200000000000000000000000000000000000−2i32i3000000000
χ854-4-44-2400-4422-4-24-4-2022-200002-44-200000000000000002-2000000000000000000000000000000000002i3−2i3000000000
χ8688-8-88-400008-8-4-844-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-480000-4484-8-8-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8-4-40000-44-444420-22-200000000000000000000006i−6i000000000000000000000000000000000000000000000000
χ8988-8-8-4-40000-44-444420-22-20000000000000000000000−6i6i000000000000000000000000000000000000000000000000
χ908-88-8-4-48i−8i004-4444-4202-2-2−4i4i−4i4i00000000000000002i−2i00000000000000000000000000000000000000000000000000
χ918-88-8-4-4−8i8i004-4444-4202-2-24i−4i4i−4i0000000000000000−2i2i00000000000000000000000000000000000000000000000000
χ928-8-88-4-4008-8444-4-4420-2-220000-4-44400000000000000002-20000000000000000000000000000000000000000000000
χ938-8-88-4-400-88444-4-4420-2-22000044-4-40000000000000000-220000000000000000000000000000000000000000000000

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