Finite Group Databasebeta

← Group #11895640

Character table — Group #11895640

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order122233444466666634666121212121212121244442466121212121212121212124444448888121212121212121266612121288882466121212121212242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111111111-1-1-1-11-1111-1-1-1-11-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111111-1-1
χ511111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-11111-11111-1-1-1-1
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
χ711111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-11111-1-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-111
χ9111111-1-1111111111-1111-1-1111-1-1111-1-11-111-1-1-1-1-1-1-1-111111-11111-1-1-1-1111111111-1-1-11111-1-1-1-11-1-111-111-1-1-1-11-1
χ10111111-1-1111111111-1111-1-1111-1-1111-1-11-111-1-1-1-1-1-1-1-111-1-11-111-1-111-1-1111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-11111-11
χ11111111-1-1111111111-1111-1-1111-1-1111-1-1-11-1-111-1-1-1-1-1-111111-1-1-1-1-111-1-111-1-1-1-1-1-1-1111-1-1-1-11-1111-1-111-1-1-111111-1
χ12111111-1-1111111111-1111-1-1111-1-1111-1-1-11-1-111-1-1-1-1-1-111-1-11-1-1-111-1-1-1-111-1-1-1-1-1-1-111111111111111-1-1-111-1-1-1-1-11
χ13111111-1-1111111111-1111-1-1111-1-11-1-1111-111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-11-111-1-1-111111-1-111-11
χ14111111-1-1111111111-1111-1-1111-1-11-1-1111-111-1-1-1-1-1-1-1-111-1-1-11-1-1-1-11111-1-1-1-1-1-1111-1-1-111111111-111-1-11-1-111-1-11-1
χ15111111-1-1111111111-1111-1-1111-1-11-1-111-11-1-111-1-1-1-1-1-11111-1111-1-11111-1-11111-1-1-11111111-1-1-1-1-1-1-1111-1-111-1-1-11
χ16111111-1-1111111111-1111-1-1111-1-11-1-111-11-1-111-1-1-1-1-1-111-1-1-111111-1-111-1-11111-1-1-1111-1-1-1-1-11-1-1-111-1-1111-1-1111-1
χ1722222222-2-22222222-222222-2-2-222-22222000000-2-222-2-2-2-200-2-20000002222000000000000000000-20000-200000000
χ1822222222-2-22222222-222222-2-2-222-2-2-2-2-2000000-2-222-2-2-2-20022000000-2-2-2-200000000000000000020000200000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-200000022-2-222-2-200-22000000-2-222000000000000000000-20000200000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22200000022-2-222-2-2002-200000022-2-200000000000000000020000-200000000
χ2122222-122222-12-12-1-12-1-1-122-1-12-1-12222222-1-1-1-12-1-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-12-1-12-1-1000020-1-1-10000-100000000
χ2222222-122222-12-12-1-12-1-1-122-1-12-1-122222-2-211112-1-1-1-1-1-1-10022-2-20000-1-1-1-11111-211-2110000-2011-10000-100000000
χ2322222-122222-12-12-1-12-1-1-122-1-12-1-12-2-2-2-222-1-1-1-12-1-1-1-1-1-1-100-2-2-2-20000111111112-1-12-1-10000-201110000100000000
χ2422222-122222-12-12-1-12-1-1-122-1-12-1-12-2-2-2-2-2-211112-1-1-1-1-1-1-100-2-22200001111-1-1-1-1-211-211000020-1-110000100000000
χ2522222-122-2-22-12-12-1-1-2-1-1-12211-2-1-1-2222200−i3i3−i3i3-21-1-1111100-2-2000000-1-1-1-1−i3−i3i3i30−i3i30−i3i3000000−i3i310000100000000
χ2622222-122-2-22-12-12-1-1-2-1-1-12211-2-1-1-2222200i3−i3i3−i3-21-1-1111100-2-2000000-1-1-1-1i3i3−i3−i30i3−i30i3−i3000000i3−i310000100000000
χ2722222-122-2-22-12-12-1-1-2-1-1-12211-2-1-1-2-2-2-2-200−i3i3−i3i3-21-1-1111100220000001111i3i3−i3−i30−i3i30−i3i3000000i3−i3-10000-100000000
χ2822222-122-2-22-12-12-1-1-2-1-1-12211-2-1-1-2-2-2-2-200i3−i3i3−i3-21-1-1111100220000001111−i3−i3i3i30i3−i30i3−i3000000−i3i3-10000-100000000
χ2922222-1-2-2222-12-12-1-1-2-1-1-1-2-2-1-1211222-2-22-2-1-111-211111-1-1002-222000011-1-1-1-1-1-12-1-1-2110000-2011-10000100000000
χ3022222-1-2-2222-12-12-1-1-2-1-1-1-2-2-1-1211222-2-2-2211-1-1-211111-1-1002-2-2-2000011-1-11111-2112-1-1000020-1-1-10000100000000
χ3122222-1-2-2222-12-12-1-1-2-1-1-1-2-2-1-12112-2-2222-2-1-111-211111-1-100-22-2-20000-1-11111112-1-1-211000020-1-110000-100000000
χ3222222-1-2-2222-12-12-1-1-2-1-1-1-2-2-1-12112-2-222-2211-1-1-211111-1-100-22220000-1-111-1-1-1-1-2112-1-10000-201110000-100000000
χ3322222-1-2-2-2-22-12-12-1-12-1-1-1-2-211-211-222-2-200−i3i3i3−i32-111-1-11100-2200000011-1-1−i3−i3i3i30−i3i30i3−i3000000i3−i310000-100000000
χ3422222-1-2-2-2-22-12-12-1-12-1-1-1-2-211-211-222-2-200i3−i3−i3i32-111-1-11100-2200000011-1-1i3i3−i3−i30i3−i30−i3i3000000−i3i310000-100000000
χ3522222-1-2-2-2-22-12-12-1-12-1-1-1-2-211-211-2-2-22200−i3i3i3−i32-111-1-111002-2000000-1-111i3i3−i3−i30−i3i30i3−i3000000−i3i3-10000100000000
χ3622222-1-2-2-2-22-12-12-1-12-1-1-1-2-211-211-2-2-22200i3−i3−i3i32-111-1-111002-2000000-1-111−i3−i3i3i30i3−i30−i3i3000000i3−i3-10000100000000
χ372222-122222-12-12-12-12-1-1-1-1-122-122-10000222222-12-1-1-1-1-1-1220000222200000000-1-1-1-1-1-1000002000-1-1-1-10-1-1-1-10000
χ382222-122222-12-12-12-12-1-1-1-1-122-122-10000222222-12-1-1-1-1-1-1-2-20000-2-2-2-200000000-1-1-1-1-1-100000-20001111011110000
χ392222-122222-12-12-12-12-1-1-1-1-122-122-10000-2-2-2-2-2-2-12-1-1-1-1-1-1220000-2-2-2-200000000111111000002000-1-1-1-1011110000
χ402222-122222-12-12-12-12-1-1-1-1-122-122-10000-2-2-2-2-2-2-12-1-1-1-1-1-1-2-2000022220000000011111100000-200011110-1-1-1-10000
χ412222-12-2-222-12-12-12-1-2-1-1-11122-1-2-2-100002-222-2-21-21111-1-122000022-2-200000000-1-1-111100000-200011-1-10-1-1110000
χ422222-12-2-222-12-12-12-1-2-1-1-11122-1-2-2-100002-222-2-21-21111-1-1-2-20000-2-22200000000-1-1-1111000002000-1-111011-1-10000
χ432222-12-2-222-12-12-12-1-2-1-1-11122-1-2-2-10000-22-2-2221-21111-1-1220000-2-22200000000111-1-1-100000-200011-1-1011-1-10000
χ442222-12-2-222-12-12-12-1-2-1-1-11122-1-2-2-10000-22-2-2221-21111-1-1-2-2000022-2-200000000111-1-1-1000002000-1-1110-1-1110000
χ4522-2-22200-22-22-2-22-220-2-22002-2-200200000000000000002-22-2002i−2i000000002i−2i2i−2i0000002i2i−2i−2i00000002-2000000000
χ4622-2-22200-22-22-2-22-220-2-22002-2-200200000000000000002-22-200−2i2i00000000−2i2i−2i2i000000−2i−2i2i2i00000002-2000000000
χ4722-2-22200-22-22-2-22-220-2-22002-2-200200000000000000002-2-22002i−2i000000002i−2i2i−2i000000−2i−2i2i2i0000000-22000000000
χ4822-2-22200-22-22-2-22-220-2-22002-2-200200000000000000002-2-2200−2i2i00000000−2i2i−2i2i0000002i2i−2i−2i0000000-22000000000
χ492-22-2222i−2i00-2-222-2-2202-2-22i−2i0002i−2i02i−2i2-2000000002i−2i0000000000−i2i22−22-22i−2i00000000002−22−20000000000−i2i22−2−i2i200
χ502-22-2222i−2i00-2-222-2-2202-2-22i−2i0002i−2i02i−2i2-2000000002i−2i0000000000i2−i2−222-22i−2i0000000000−22−220000000000i2−i2−22i2−i200
χ512-22-2222i−2i00-2-222-2-2202-2-22i−2i0002i−2i0−2i2i-22000000002i−2i0000000000−i2i22−2-22−2i2i0000000000−22−220000000000−i2i22−2i2−i200
χ522-22-2222i−2i00-2-222-2-2202-2-22i−2i0002i−2i0−2i2i-22000000002i−2i0000000000i2−i2−22-22−2i2i00000000002−22−20000000000i2−i2−22−i2i200
χ532-22-222−2i2i00-2-222-2-2202-2-2−2i2i000−2i2i02i−2i-2200000000−2i2i0000000000−i2i2−22-222i−2i00000000002−22−20000000000−i2i2−22i2−i200
χ542-22-222−2i2i00-2-222-2-2202-2-2−2i2i000−2i2i02i−2i-2200000000−2i2i0000000000i2−i22−2-222i−2i0000000000−22−220000000000i2−i22−2−i2i200
χ552-22-222−2i2i00-2-222-2-2202-2-2−2i2i000−2i2i0−2i2i2-200000000−2i2i0000000000−i2i2−222-2−2i2i0000000000−22−220000000000−i2i2−22−i2i200
χ562-22-222−2i2i00-2-222-2-2202-2-2−2i2i000−2i2i0−2i2i2-200000000−2i2i0000000000i2−i22−22-2−2i2i00000000002−22−20000000000i2−i22−2i2−i200
χ574444-2444-4-4-24-24-24-2-4-2-2-2-2-2-4-4244200000000002-4-2-222220000000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-24-24-24-24-2-2-222-4-42-4-420000000000-2422-2-2220000000000000000000000000000000000000000000000
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
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-20000-4-42222-2-21111110000000000000000002-1-12-1-10000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4111-2-2222-2-22000000−2i32i3−2i32i32211-1-1-1-10000000000000000000i3−i30i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111-2-2222-2-220000002i3−2i32i3−2i32211-1-1-1-10000000000000000000−i3i30−i3i30000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-411122-2-2-222-200004-4-2-22222-1-1-1-111000000000000000000-2112-1-10000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-411122-2-2-222-20000-4422-2-222-1-1-1-1110000000000000000002-1-1-2110000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000−2i32i32i3−2i3-2-2-1-111-1-10000000000000000000i3−i30−i3i30000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-214111222222220000002i3−2i3−2i32i3-2-2-1-111-1-10000000000000000000−i3i30i3−i30000000000000000000000
χ6744-4-444004-4-44-4-44-440-4-4400-44400-40000000000000000-440000000000000000000000000000000000000000000000
χ6844-4-44-2004-4-4-2-4242-2022-2002-2400-400000000000000002-20000000000000023−23−23230000000000000000000000000000
χ6944-4-44-2004-4-4-2-4242-2022-2002-2400-400000000000000002-200000000000000−232323−230000000000000000000000000000
χ7044-4-44-200-44-4-2-4242-2022-200-22-40040000000000000000-2200004i−4i00000000−2i2i−2i2i0000000000000000000000000000
χ7144-4-44-200-44-4-2-4242-2022-200-22-40040000000000000000-220000−4i4i000000002i−2i2i−2i0000000000000000000000000000
χ7244-4-4-24004-4242-4-2-4-2022-200-44-200200000000000000002-200000000000000000000000000000000023−2300000000000
χ7344-4-4-24004-4242-4-2-4-2022-200-44-200200000000000000002-2000000000000000000000000000000000−232300000000000
χ7444-4-4-2400-44242-4-2-4-2022-2004-4200-20000000000000000-224-4000000000000000000000000000000000-22000000000
χ7544-4-4-2400-44242-4-2-4-2022-2004-4200-20000000000000000-22-440000000000000000000000000000000002-2000000000
χ764-44-44-24i−4i00-424-2-42-20-2224i−4i000−2i2i04i−4i4-400000000−2i2i00000000000000-22−2i2i00000000000000000000000000000000
χ774-44-44-24i−4i00-424-2-42-20-2224i−4i000−2i2i0−4i4i-4400000000−2i2i000000000000002-22i−2i00000000000000000000000000000000
χ784-44-44-2−4i4i00-424-2-42-20-222−4i4i0002i−2i04i−4i-44000000002i−2i000000000000002-2−2i2i00000000000000000000000000000000
χ794-44-44-2−4i4i00-424-2-42-20-222−4i4i0002i−2i0−4i4i4-4000000002i−2i00000000000000-222i−2i00000000000000000000000000000000
χ804-44-4-244i−4i002-4-242-4-20-222−2i2i0004i−4i0000000000000−2i2i0000000000−2i22i222−220000000000000000000000000000i2−i2−220000
χ814-44-4-244i−4i002-4-242-4-20-222−2i2i0004i−4i0000000000000−2i2i00000000002i2−2i2−22220000000000000000000000000000−i2i22−20000
χ824-44-4-24−4i4i002-4-242-4-20-2222i−2i000−4i4i00000000000002i−2i0000000000−2i22i2−22220000000000000000000000000000i2−i22−20000
χ834-44-4-24−4i4i002-4-242-4-20-2222i−2i000−4i4i00000000000002i−2i00000000002i2−2i222−220000000000000000000000000000−i2i2−220000
χ844-4-444400004-4-4-4-4440-44-400000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ854-4-444400004-4-4-4-4440-44-4000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ8688-8-8-4-4008-84-444-4420-2-22004-4-40040000000000000000-220000000000000000000000000000000000000000000000
χ8788-8-8-4-400-884-444-4420-2-2200-44400-400000000000000002-20000000000000000000000000000000000000000000000
χ888-88-8-4-48i−8i0044-4-444202-2-2−4i4i000−4i4i00000000000002i−2i00000000000000000000000000000000000000000000000000
χ898-88-8-4-4−8i8i0044-4-444202-2-24i−4i0004i−4i0000000000000−2i2i00000000000000000000000000000000000000000000000000
χ908-8-888-4000084-84-8-4-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-88-480000-4-84-848-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40000-44444-420-22-200000000000000000000006i−6i000000000000000000000000000000000000000000000000
χ938-8-88-4-40000-44444-420-22-20000000000000000000000−6i6i000000000000000000000000000000000000000000000000

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