Finite Group Databasebeta

← Group #11895385

Character table — Group #11895385

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444666688888888812121212121212121212121212121212161616161616161618181818242424242424242424242436363636484872
order1222334444666666346661212121212121212121288884412121212121212448888882424242424242424121212121212121244442246612122424242422446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-1-1-11111111111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111111111111-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-11
χ411111111111111111111111111111111111-1-11111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-111-1-1-1
χ51111111111111111111111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-111111111-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ71111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11111-1
χ81111111111111111111111111111111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111-1-1111
χ9111111-1-1111111111-11111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-11-1-11111-1-111-11-11-1
χ10111111-1-1111111111-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-11111-1-1-1-111-1-11-1-111
χ11111111-1-1111111111-11111-1-1-1-1-1-11111111-11-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111-1-1-1-111-1-111111-11-1-1
χ12111111-1-1111111111-11111-1-1-1-1-1-11111111-11-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-111-111-1-111-1-1-1-1-111-11
χ13111111-1-1111111111-11111-1-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-1-1-11111-1-1-1-11-11-11
χ14111111-1-1111111111-11111-1-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-111-1-111-111-1-1-1-11111-111-1-1
χ15111111-1-1111111111-11111-1-1-1-1-1-1111-1-1-1-1-11-111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11-1-111-1-111-1-1-11-111
χ16111111-1-1111111111-11111-1-1-1-1-1-1111-1-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111-11111-1-111-1-1111-1-11-1
χ1722222222-2-22222222-2222-222-2-222-2-2-2000000-2-2-222-2-200000000000000000000000022220000000000000-2-2000
χ1822222222-2-22222222-2222-222-2-222-2-2-2000000-2-2-222-2-2000000000000000000000000-2-2-2-2000000000000022000
χ19222222-2-2-2-222222222222-2-2-222-2-2-2-2-20000002-2-2-2-22200000000000000000000000022-2-200000000000002-2000
χ20222222-2-2-2-222222222222-2-2-222-2-2-2-2-20000002-2-2-2-222000000000000000000000000-2-2220000000000000-22000
χ2122222-1222222-1-1-12-12-1-1-12-1-1-1-122-1-122222222-1-1-1-1-1-100220000-1-1-1-1-1-1-1-12-1-12-1-1-1-10000202000000000000-1-10
χ2222222-1222222-1-1-12-12-1-1-12-1-1-1-122-1-122222-2-22-1-1-1-1-1-100220000-1-1-1-1-1-1-1-1-211-211110000-20-2000000000000110
χ2322222-1222222-1-1-12-12-1-1-12-1-1-1-122-1-12-2-2-2-2222-1-1-1-1-1-100-2-20000111111112-1-12-1-1-1-10000-20-2000000000000110
χ2422222-1222222-1-1-12-12-1-1-12-1-1-1-122-1-12-2-2-2-2-2-22-1-1-1-1-1-100-2-2000011111111-211-211110000202000000000000-1-10
χ2522222-1-2-22222-1-1-12-1-2-1-1-121111-2-2-1-1222222-2-2-1-1111100-2-20000-1-1-1-111112-11-2-1-1110000-2020000000000001-10
χ2622222-1-2-22222-1-1-12-1-2-1-1-121111-2-2-1-122222-22-2-1-1111100-2-20000-1-1-1-11111-21-1211-1-1000020-2000000000000-110
χ2722222-1-2-22222-1-1-12-1-2-1-1-121111-2-2-1-12-2-2-2-22-2-2-1-11111002200001111-1-1-1-12-11-2-1-111000020-2000000000000-110
χ2822222-1-2-22222-1-1-12-1-2-1-1-121111-2-2-1-12-2-2-2-2-22-2-1-11111002200001111-1-1-1-1-21-1211-1-10000-2020000000000001-10
χ292222-122222-1-1222-1-12-1-1-1-12222-1-122-1000022-1-1-1-1-1-1-12200222200000000-122-1-1-1-1-10000020-1-1-1-1-1-1-1-10000000
χ302222-122222-1-1222-1-12-1-1-1-12222-1-122-1000022-1-1-1-1-1-1-1-2-200-2-2-2-200000000-122-1-1-1-1-100000-20111111110000000
χ312222-122222-1-1222-1-12-1-1-1-12222-1-122-10000-2-2-1-1-1-1-1-1-12200-2-2-2-2000000001-2-2111110000020-1-1-1-111110000000
χ322222-122222-1-1222-1-12-1-1-1-12222-1-122-10000-2-2-1-1-1-1-1-1-1-2-2002222000000001-2-21111100000-201111-1-1-1-10000000
χ332222-12-2-222-1-1222-1-1-2-1-1-1-1-2-2-2-21122-100002-21-1-11111220022-2-200000000-12-21-1-11100000-2011-1-1-1-1110000000
χ342222-12-2-222-1-1222-1-1-2-1-1-1-1-2-2-2-21122-100002-21-1-11111-2-200-2-22200000000-12-21-1-1110000020-1-11111-1-10000000
χ352222-12-2-222-1-1222-1-1-2-1-1-1-1-2-2-2-21122-10000-221-1-111112200-2-222000000001-22-111-1-100000-2011-1-111-1-10000000
χ362222-12-2-222-1-1222-1-1-2-1-1-1-1-2-2-2-21122-10000-221-1-11111-2-20022-2-2000000001-22-111-1-10000020-1-111-1-1110000000
χ3722-2-22200-222-2-2-22-2202-2-2-20000002-222i2i−2i−2i0002-200002i−2i0000002i2i−2i−2i0000000000000000000002i−2i00002-200000
χ3822-2-22200-222-2-2-22-2202-2-2-20000002-222i2i−2i−2i0002-20000−2i2i0000002i2i−2i−2i000000000000000000000−2i2i0000-2200000
χ3922-2-22200-222-2-2-22-2202-2-2-20000002-22−2i−2i2i2i0002-200002i−2i000000−2i−2i2i2i0000000000000000000002i−2i0000-2200000
χ4022-2-22200-222-2-2-22-2202-2-2-20000002-22−2i−2i2i2i0002-20000−2i2i000000−2i−2i2i2i000000000000000000000−2i2i00002-200000
χ412-22-2222i−2i00-222-2-2-220-22-202i−2i002i−2i000−i2i2−i2i2000002i−2i00002−2−i2i22−2−i2i2−i2i222−2−2000000002-22i−2i0000000−i2i22−20000000
χ422-22-2222i−2i00-222-2-2-220-22-202i−2i002i−2i000−i2i2−i2i2000002i−2i00002−2i2−i2−22−i2i2−i2i222−2−200000000-22−2i2i0000000i2−i2−220000000
χ432-22-2222i−2i00-222-2-2-220-22-202i−2i002i−2i000i2−i2i2−i2000002i−2i0000−22−i2i22−2i2−i2i2−i2−2−22200000000-22−2i2i0000000−i2i22−20000000
χ442-22-2222i−2i00-222-2-2-220-22-202i−2i002i−2i000i2−i2i2−i2000002i−2i0000−22i2−i2−22i2−i2i2−i2−2−222000000002-22i−2i0000000i2−i2−220000000
χ452-22-222−2i2i00-222-2-2-220-22-20−2i2i00−2i2i000−i2i2−i2i200000−2i2i0000−22−i2i2−22−i2i2−i2i2−2−222000000002-2−2i2i0000000−i2i2−220000000
χ462-22-222−2i2i00-222-2-2-220-22-20−2i2i00−2i2i000−i2i2−i2i200000−2i2i0000−22i2−i22−2−i2i2−i2i2−2−22200000000-222i−2i0000000i2−i22−20000000
χ472-22-222−2i2i00-222-2-2-220-22-20−2i2i00−2i2i000i2−i2i2−i200000−2i2i00002−2−i2i2−22i2−i2i2−i222−2−200000000-222i−2i0000000−i2i2−220000000
χ482-22-222−2i2i00-222-2-2-220-22-20−2i2i00−2i2i000i2−i2i2−i200000−2i2i00002−2i2−i22−2i2−i2i2−i222−2−2000000002-2−2i2i0000000i2−i22−20000000
χ4944444-244-4-444-2-2-24-2-4-2-2-2-4-2-2224422-4000000-422-2-2220000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-444-2-2-24-24-2-2-2-422-2-2-4-422-400000042222-2-20000000000000000000000000000000000000000000000
χ514444-2444-4-4-2-2444-2-2-4-2-2-2244-4-4-2-2-4-42000000222-2-2220000000000000000000000000000000000000000000000
χ524444-24-4-4-4-4-2-2444-2-24-2-2-22-4-44422-4-42000000-22222-2-20000000000000000000000000000000000000000000000
χ534444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2000044-21111110000000000000000-2-2-2-211110000000000000000000000
χ544444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000-4-4-211111100000000000000002222-1-1-1-10000000000000000000000
χ554444-2-244-4-4-2-2-2-2-2-21-41112-2-222-2-22220000002-1-111-1-1000000000000000000003-33-30000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-21-41112-2-222-2-22220000002-1-111-1-100000000000000000000-33-330000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-21-4111-2222222-2-2-200004-4211-1-1-1-10000000000000000-2-22211-1-10000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-21-4111-2222222-2-2-20000-44211-1-1-1-1000000000000000022-2-2-1-1110000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-214111222-2-222222000000-2-1-1-1-111000000000000000000003-3-330000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-214111222-2-222222000000-2-1-1-1-11100000000000000000000-333-30000000000000000000000
χ6144-4-444004-44-4-4-44-4404-4-44000000-44-40000000-4400000000000000000000000000000000000000000000000000
χ6244-4-44-2004-44-422-2-4-20-22240000002-2-400000002-2000000000000000023−2323−23000000000000000000000000000000
χ6344-4-44-2004-44-422-2-4-20-22240000002-2-400000002-20000000000000000−2323−2323000000000000000000000000000000
χ6444-4-44-200-444-422-2-4-20-222-4000000-2244i4i−4i−4i000-22000000000000−2i−2i2i2i0000000000000000000000000000000000
χ6544-4-44-200-444-422-2-4-20-222-4000000-224−4i−4i4i4i000-220000000000002i2i−2i−2i0000000000000000000000000000000000
χ6644-4-4-24004-4-22-4-442-20-222-2000000-44200000002-200000000000000000000000000000000000−2i32i30000000000000
χ6744-4-4-24004-4-22-4-442-20-222-2000000-44200000002-2000000000000000000000000000000000002i3−2i30000000000000
χ6844-4-4-2400-44-22-4-442-20-22220000004-4-20000000-2200004i−4i0000000000000000000000000000000−2i2i00000000000
χ6944-4-4-2400-44-22-4-442-20-22220000004-4-20000000-220000−4i4i00000000000000000000000000000002i−2i00000000000
χ704-44-44-24i−4i00-44-222-4-202-220−2i2i004i−4i000−2i22i2−2i22i200000−2i2i000022−220000i2−i2i2−i2−2−222000000000000000000000000000000
χ714-44-44-24i−4i00-44-222-4-202-220−2i2i004i−4i0002i2−2i22i2−2i200000−2i2i0000−22220000−i2i2−i2i222−2−2000000000000000000000000000000
χ724-44-44-2−4i4i00-44-222-4-202-2202i−2i00−4i4i000−2i22i2−2i22i2000002i−2i0000−22220000i2−i2i2−i222−2−2000000000000000000000000000000
χ734-44-44-2−4i4i00-44-222-4-202-2202i−2i00−4i4i0002i2−2i22i2−2i2000002i−2i000022−220000−i2i2−i2i2−2−222000000000000000000000000000000
χ744-44-4-244i−4i002-24-4-42-202-2204i−4i00−2i2i000000000000−2i2i000000−2i22i222−22000000000000000000000000000i2−i2−220000000
χ754-44-4-244i−4i002-24-4-42-202-2204i−4i00−2i2i000000000000−2i2i0000002i2−2i2−2222000000000000000000000000000−i2i22−20000000
χ764-44-4-24−4i4i002-24-4-42-202-220−4i4i002i−2i0000000000002i−2i000000−2i22i2−2222000000000000000000000000000i2−i22−20000000
χ774-44-4-24−4i4i002-24-4-42-202-220−4i4i002i−2i0000000000002i−2i0000002i2−2i222−22000000000000000000000000000−i2i2−220000000
χ784-4-44440000-4-4-44-4440-4-44000000000022−22−22220000000000000000022−22−22220000000000000000000000000000000000
χ794-4-44440000-4-4-44-4440-4-440000000000−222222−2200000000000000000−222222−220000000000000000000000000000000000
χ804-4-444-20000-4-42-224-2022-200023−230000022−22−2222000000023−2300000000−222−26−6−66000000000000000000000000000000
χ814-4-444-20000-4-42-224-2022-200023−2300000−222222−22000000023−23000000002−2−22−666−6000000000000000000000000000000
χ824-4-444-20000-4-42-224-2022-2000−23230000022−22−22220000000−232300000000−222−2−666−6000000000000000000000000000000
χ834-4-444-20000-4-42-224-2022-2000−232300000−222222−220000000−2323000000002−2−226−6−66000000000000000000000000000000
χ8488-8-8-4-4008-8-4444-44202-2-2-40000004-440000000-2200000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-88-4444-44202-2-24000000-44-400000002-200000000000000000000000000000000000000000000000000
χ868-88-8-4-48i−8i004-4-444420-22-20−4i4i00−4i4i0000000000002i−2i000000000000000000000000000000000000000000000000
χ878-88-8-4-4−8i8i004-4-444420-22-204i−4i004i−4i000000000000−2i2i000000000000000000000000000000000000000000000000
χ888-8-88-48000044-88-8-4-4044-4000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-40000444-44-420-2-2200043−430000000000000000−23230000000000000000000000000000000000000000000000
χ908-8-88-4-40000444-44-420-2-22000−4343000000000000000023−230000000000000000000000000000000000000000000000

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