Finite Group Databasebeta

← Group #11868608

Character table — Group #11868608

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222224444444444444888888888899991212121212121212121212121212121216161616161616161818181824242424242424242424242424242424367272
order12223344446666663466612121212121212124412121212121212124444224444448888888812121212121212122244661212121212122424242424242424444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ3111111111111111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1
χ511111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1
χ611111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1
χ711111111111111111111111111111-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-111
χ811111111111111111111111111111-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-111
χ91111111-1-111111111-11111-1-11-1-1111-1-1-111-1-1-1-111111111-1-1-1-111-1-111-1-11-11-111-1-111-1-11111-1-1-1-111-1-111-1-1-11-1
χ101111111-1-111111111-11111-1-11-1-1111-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1111-11-111-1-111-1-1-1-1-1-11111-1-111-1-111-11-1
χ111111111-1-111111111-11111-1-11-1-1111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-11-111-1-1-1-11111-1-1-1-11111-1-1-1-1111-11
χ121111111-1-111111111-11111-1-11-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-11-111-1-1-1-111-1-11111-1-1-1-11111-1-11-11
χ131111111-1-111111111-11111-1-11-1-111-11-1-111-1-1-1-111111111-1-1-1-1-1-111-1-111-11-11-1-11111-1-11111-1-1-1-1-1-111-1-111-1-11
χ141111111-1-111111111-11111-1-11-1-111-11-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-11-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11
χ151111111-1-111111111-11111-1-11-1-111-11-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-11-11-1-111-1-11111-1-1-1-111-1-11111-1-111-1
χ161111111-1-111111111-11111-1-11-1-111-11-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-11-11-1-111-1-111-1-11111-1-111-1-1-1-11111-1
χ17222222-222-22222222-2222-222-222-2-200-2-2-2-222-2-22222000000000000000000000000-2-2220000000000000000-200
χ18222222-222-22222222-2222-222-222-2-200-2-2-2-222-2-2-2-2-2-200000000000000000000000022-2-20000000000000000200
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022-2-2-2-2222222000000000000000000000000-2-2-2-20000000000000000200
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022-2-2-2-222-2-2-2-200000000000000000000000022220000000000000000-200
χ2122222-12222-12-122-1-12-1-1-1-1222-1-1-1222-12-1-1-1-1-1-1000022002200222200002-1-12-1-1-1-10000-1-100-1-100-1-1-1-10000000
χ2222222-12222-12-122-1-12-1-1-1-1222-1-1-1222-12-1-1-1-1-1-10000-2-200-2-200-2-2-2-200002-1-12-1-1-1-100001100110011110000000
χ2322222-12222-12-122-1-12-1-1-1-1222-1-1-12-2-2-12-1-1-1-1-1-1000022002200-2-2-2-20000-211-211110000-1-100-1-10011110000000
χ2422222-12222-12-122-1-12-1-1-1-1222-1-1-12-2-2-12-1-1-1-1-1-10000-2-200-2-20022220000-211-21111000011001100-1-1-1-10000000
χ2522222-12-2-22-12-122-1-1-2-1-1-1-1-2-2211-122-21-2-1-1111100002200-2-20022-2-2000021-1-2-1-1110000-1-1001100-1-1110000000
χ2622222-12-2-22-12-122-1-1-2-1-1-1-1-2-2211-122-21-2-1-111110000-2-2002200-2-222000021-1-2-1-11100001100-1-10011-1-10000000
χ2722222-12-2-22-12-122-1-1-2-1-1-1-1-2-2211-12-221-2-1-1111100002200-2-200-2-2220000-2-11211-1-10000-1-100110011-1-10000000
χ2822222-12-2-22-12-122-1-1-2-1-1-1-1-2-2211-12-221-2-1-111110000-2-200220022-2-20000-2-11211-1-100001100-1-100-1-1110000000
χ292222-1222222-12-1-12-12-1-1-12-1-1-1222-1222-1-1-1-1-1-1-100000022002200002222-122-1-1-1-1-1000000-1-100-1-10000-1-1-1-1000
χ302222-1222222-12-1-12-12-1-1-12-1-1-1222-1222-1-1-1-1-1-1-1000000-2-200-2-20000-2-2-2-2-122-1-1-1-1-100000011001100001111000
χ312222-1222222-12-1-12-12-1-1-12-1-1-1222-1-2-22-1-1-1-1-1-1-10000002200220000-2-2-2-21-2-211111000000-1-100-1-100001111000
χ322222-1222222-12-1-12-12-1-1-12-1-1-1222-1-2-22-1-1-1-1-1-1-1000000-2-200-2-2000022221-2-2111110000001100110000-1-1-1-1000
χ332222-122-2-222-12-1-12-1-2-1-1-1211-1-2-22-12-2-21-1-111110000002200-2-2000022-2-2-1-221-1-111000000-1-100110000-1-111000
χ342222-122-2-222-12-1-12-1-2-1-1-1211-1-2-22-12-2-21-1-11111000000-2-200220000-2-222-1-221-1-1110000001100-1-1000011-1-1000
χ352222-122-2-222-12-1-12-1-2-1-1-1211-1-2-22-1-22-21-1-111110000002200-2-20000-2-22212-2-111-1-1000000-1-10011000011-1-1000
χ362222-122-2-222-12-1-12-1-2-1-1-1211-1-2-22-1-22-21-1-11111000000-2-20022000022-2-212-2-111-1-10000001100-1-10000-1-111000
χ3722-2-222200-22-2-22-2-2202-2-2200200-2-200002-2000022-2-22-22-2000000000000000000002-2002-22-2000000000000000
χ3822-2-222200-22-2-22-2-2202-2-2200200-2-200002-2000022-2-2-22-22000000000000000000002-200-22-22000000000000000
χ3922-2-222200-22-2-22-2-2202-2-2200200-2-200002-20000-2-2222-2-2200000000000000000000-22002-2-22000000000000000
χ4022-2-222200-22-2-22-2-2202-2-2200200-2-200002-20000-2-222-222-200000000000000000000-2200-222-2000000000000000
χ4122-2-222-20022-2-22-2-2202-2-2-200-200220000-22000022-2-200002i−2i2i−2i0000000000000000-220000002i−2i2i−2i00000000000
χ4222-2-222-20022-2-22-2-2202-2-2-200-200220000-22000022-2-20000−2i2i−2i2i0000000000000000-22000000−2i2i−2i2i00000000000
χ4322-2-222-20022-2-22-2-2202-2-2-200-200220000-220000-2-22200002i−2i−2i2i00000000000000002-20000002i−2i−2i2i00000000000
χ4422-2-222-20022-2-22-2-2202-2-2-200-200220000-220000-2-2220000−2i2i2i−2i00000000000000002-2000000−2i2i2i−2i00000000000
χ452-22-22202i−2i0-2-22-22-220-22-202i−2i02i−2i000000002i−2i002i−2i2i−2i00000000i2−i22−22−2i2−i200000000002-200000000i2−i22−22−2i2−i2000
χ462-22-22202i−2i0-2-22-22-220-22-202i−2i02i−2i000000002i−2i002i−2i2i−2i00000000−i2i2−22−22−i2i200000000002-200000000−i2i2−22−22−i2i2000
χ472-22-22202i−2i0-2-22-22-220-22-202i−2i02i−2i000000002i−2i00−2i2i−2i2i00000000i2−i22−2−22−i2i20000000000-2200000000i2−i22−2−22−i2i2000
χ482-22-22202i−2i0-2-22-22-220-22-202i−2i02i−2i000000002i−2i00−2i2i−2i2i00000000−i2i2−222−2i2−i20000000000-2200000000−i2i2−222−2i2−i2000
χ492-22-2220−2i2i0-2-22-22-220-22-20−2i2i0−2i2i00000000−2i2i002i−2i2i−2i00000000i2−i2−222−2−i2i20000000000-2200000000i2−i2−222−2−i2i2000
χ502-22-2220−2i2i0-2-22-22-220-22-20−2i2i0−2i2i00000000−2i2i002i−2i2i−2i00000000−i2i22−2−22i2−i20000000000-2200000000−i2i22−2−22i2−i2000
χ512-22-2220−2i2i0-2-22-22-220-22-20−2i2i0−2i2i00000000−2i2i00−2i2i−2i2i00000000i2−i2−22−22i2−i200000000002-200000000i2−i2−22−22i2−i2000
χ522-22-2220−2i2i0-2-22-22-220-22-20−2i2i0−2i2i00000000−2i2i00−2i2i−2i2i00000000−i2i22−22−2−i2i200000000002-200000000−i2i22−22−2−i2i2000
χ5344444-2-444-4-24-244-2-2-4-2-2-2244-4-2-22-4002-422-2-222000000000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-4-24-244-2-24-2-2-22-4-4-4222-400-242222-2-2000000000000000000000000000000000000000000000000000
χ554444-24-444-44-24-2-24-2-4-2-2-2-4-2-2244-4200-4222-2-222000000000000000000000000000000000000000000000000000
χ564444-24-4-4-4-44-24-2-24-24-2-2-2-4222-4-4-42004-22222-2-2000000000000000000000000000000000000000000000000000
χ574444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-244-2-211111100000000000000000000-2-2-2-2111100000000000000000000000
χ584444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-4-2-2111111000000000000000000002222-1-1-1-100000000000000000000000
χ594444-2-24-4-44-2-2-2-2-2-21-4111-222-222-2-24-42211-1-1-1-100000000000000000000-22-2211-1-100000000000000000000000
χ604444-2-24-4-44-2-2-2-2-2-21-4111-222-222-2-2-442211-1-1-1-1000000000000000000002-22-2-1-11100000000000000000000000
χ614444-2-2-444-4-2-2-2-2-2-21-41112-2-22-2-2220022-1-111-1-10000000000000000000000003-33-300000000000000000000000
χ624444-2-2-444-4-2-2-2-2-2-21-41112-2-22-2-2220022-1-111-1-1000000000000000000000000-33-3300000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2-1-1-1-1110000000000000000000000003-3-3300000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2-1-1-1-111000000000000000000000000-333-300000000000000000000000
χ6544-4-44-2400-4-2-424-42-20-222-2004002-40000-22000000004-400000000000000000000000000-2200000000000000000
χ6644-4-44-2400-4-2-424-42-20-222-2004002-40000-2200000000-44000000000000000000000000002-200000000000000000
χ6744-4-44-2-4004-2-424-42-20-222200-400-2400002-20000000000004i−4i00000000000000000000000000−2i2i0000000000000
χ6844-4-44-2-4004-2-424-42-20-222200-400-2400002-2000000000000−4i4i000000000000000000000000002i−2i0000000000000
χ6944-4-4-24400-442-4-22-4-20-222400-200-420000-2200000000004-400000000000000000000000000-22000000000000000
χ7044-4-4-24400-442-4-22-4-20-222400-200-420000-220000000000-44000000000000000000000000002-2000000000000000
χ7144-4-4-24-400442-4-22-4-20-222-4002004-200002-2000000000000004i−4i00000000000000000000000000−2i2i00000000000
χ7244-4-4-24-400442-4-22-4-20-222-4002004-200002-200000000000000−4i4i000000000000000000000000002i−2i00000000000
χ734-44-44-204i−4i02-4-2-442-202-2204i−4i0−2i2i00000000−2i2i000000000000002i2−2i222−22000000000000000000000000−i2i2−220000000
χ744-44-44-204i−4i02-4-2-442-202-2204i−4i0−2i2i00000000−2i2i00000000000000−2i22i2−2222000000000000000000000000i2−i22−20000000
χ754-44-44-20−4i4i02-4-2-442-202-220−4i4i02i−2i000000002i−2i000000000000002i2−2i2−2222000000000000000000000000−i2i22−20000000
χ764-44-44-20−4i4i02-4-2-442-202-220−4i4i02i−2i000000002i−2i00000000000000−2i22i222−22000000000000000000000000i2−i2−220000000
χ774-44-4-2404i−4i0-4242-2-4-202-220−2i2i04i−4i00000000−2i2i00000000000000000022−222i2−2i2000000000000000000000000−22−i2i2000
χ784-44-4-2404i−4i0-4242-2-4-202-220−2i2i04i−4i00000000−2i2i000000000000000000−2222−2i22i20000000000000000000000002−2i2−i2000
χ794-44-4-240−4i4i0-4242-2-4-202-2202i−2i0−4i4i000000002i−2i00000000000000000022−22−2i22i2000000000000000000000000−22i2−i2000
χ804-44-4-240−4i4i0-4242-2-4-202-2202i−2i0−4i4i000000002i−2i000000000000000000−22222i2−2i20000000000000000000000002−2−i2i2000
χ814-4-44440000-44-4-4-4440-4-440000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000
χ824-4-44440000-44-4-4-4440-4-44000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000
χ8388-8-8-4-4800-8-444-444202-2-2-400-4004400002-20000000000000000000000000000000000000000000000000000000
χ8488-8-8-4-4-8008-444-444202-2-2400400-4-40000-220000000000000000000000000000000000000000000000000000000
χ858-88-8-4-408i−8i044-44-4420-22-20−4i4i0−4i4i000000002i−2i00000000000000000000000000000000000000000000000000000
χ868-88-8-4-40−8i8i044-44-4420-22-204i−4i04i−4i00000000−2i2i00000000000000000000000000000000000000000000000000000
χ878-8-888-40000484-8-8-4-4044-4000000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-480000-8-4-8448-4044-4000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400004-4444-420-2-2200000000000000006i−6i000000000000000000000000000000000000000000000000000
χ908-8-88-4-400004-4444-420-2-220000000000000000−6i6i000000000000000000000000000000000000000000000000000

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