Finite Group Databasebeta

← Group #11887463

Character table — Group #11887463

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444666688888888812121212121212121212121212121212161616161616161618181818242424242424242424242436363636484872
order1222334444666666346661212121212121212121288882412121212121212448888882424242424242424666612121212224424466121224242424222412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-1-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111111111111-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-11
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
χ51111111111111111111111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111111111-1-1-1-1-1-1-1
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
χ81111111111111111111111111111111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111
χ9111111-1-1111111111-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11-1-11111-1-111-111-1-1
χ10111111-1-1111111111-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111-1111-1-1-1-111-1-11-11-11
χ11111111-1-1111111111-11111-1-1-1-1-1-11111111-11-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-11-1-1-111-1-111111-1-11-1
χ12111111-1-1111111111-11111-1-1-1-1-1-11111111-11-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-111-111-1-111-1-1-1-1-11-111
χ13111111-1-1111111111-11111-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-11-1-1-11111-1-1-1-11-1-111
χ14111111-1-1111111111-11111-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-111-1-111-111-1-1-1-11111-11-11-1
χ15111111-1-1111111111-11111-1-1-1-1-1-1111-1-1-1-1-11-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-111-1-111-1-1-111-11
χ16111111-1-1111111111-11111-1-1-1-1-1-1111-1-1-1-1-11-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1111-1111-1-111-1-1111-11-1-1
χ1722222222-2-22222222-2222-22222-2-2-2-2-2000000-222-2-2-2-200000000000000000000000022220000000000000-2-2000
χ1822222222-2-22222222-2222-22222-2-2-2-2-2000000-222-2-2-2-2000000000000000000000000-2-2-2-2000000000000022000
χ19222222-2-2-2-222222222222-2-2-2-2-222-2-2-20000002-2-222-2-200000000000000000000000022-2-200000000000002-2000
χ20222222-2-2-2-222222222222-2-2-2-2-222-2-2-20000002-2-222-2-2000000000000000000000000-2-2220000000000000-22000
χ2122222-12222-12-122-1-12-1-1-1-122-1-12222-1000022-1-1-1-1-1-1-122002222000000002-1-1-12-1-1-10000200-1-1-1-1-1-1-1-10000000
χ2222222-12222-12-122-1-12-1-1-1-122-1-12222-1000022-1-1-1-1-1-1-1-2-200-2-2-2-2000000002-1-1-12-1-1-10000-200111111110000000
χ2322222-12222-12-122-1-12-1-1-1-122-1-12222-10000-2-2-1-1-1-1-1-1-12200-2-2-2-200000000-2111-21110000200-1-1-1-111110000000
χ2422222-12222-12-122-1-12-1-1-1-122-1-12222-10000-2-2-1-1-1-1-1-1-1-2-200222200000000-2111-21110000-2001111-1-1-1-10000000
χ2522222-1-2-222-12-122-1-1-2-1-1-1-1-2-211-2-222-100002-211111-1-1220022-2-2000000002-1-1-1-21110000-20011-1-1-1-1110000000
χ2622222-1-2-222-12-122-1-1-2-1-1-1-1-2-211-2-222-100002-211111-1-1-2-200-2-222000000002-1-1-1-21110000200-1-11111-1-10000000
χ2722222-1-2-222-12-122-1-1-2-1-1-1-1-2-211-2-222-10000-2211111-1-12200-2-22200000000-21112-1-1-10000-20011-1-111-1-10000000
χ2822222-1-2-222-12-122-1-1-2-1-1-1-1-2-211-2-222-10000-2211111-1-1-2-20022-2-200000000-21112-1-1-10000200-1-111-1-1110000000
χ292222-1222222-12-1-12-12-1-1-12-1-122-1-1-1-122222222-1-1-1-1-1-100220000-1-1-1-1-1-1-1-1-12-1-1-12-1-10000022000000000000-1-10
χ302222-1222222-12-1-12-12-1-1-12-1-122-1-1-1-122222-2-22-1-1-1-1-1-100220000-1-1-1-1-1-1-1-11-2111-21100000-2-2000000000000110
χ312222-1222222-12-1-12-12-1-1-12-1-122-1-1-1-12-2-2-2-2222-1-1-1-1-1-100-2-2000011111111-12-1-1-12-1-100000-2-2000000000000110
χ322222-1222222-12-1-12-12-1-1-12-1-122-1-1-1-12-2-2-2-2-2-22-1-1-1-1-1-100-2-20000111111111-2111-2110000022000000000000-1-10
χ332222-12-2-2222-12-1-12-1-2-1-1-1211-2-211-1-1222222-2-21111-1-100-2-20000-1-1-1-11111-12-1-11-21100000-22000000000000-110
χ342222-12-2-2222-12-1-12-1-2-1-1-1211-2-211-1-122222-22-21111-1-100-2-20000-1-1-1-111111-211-12-1-1000002-20000000000001-10
χ352222-12-2-2222-12-1-12-1-2-1-1-1211-2-211-1-12-2-2-2-22-2-21111-1-1002200001111-1-1-1-1-12-1-11-211000002-20000000000001-10
χ362222-12-2-2222-12-1-12-1-2-1-1-1211-2-211-1-12-2-2-2-2-22-21111-1-1002200001111-1-1-1-11-211-12-1-100000-22000000000000-110
χ3722-2-2222i−2i002-2-22-2-2202-2-202i−2i2i−2i00000−i2−i2i2i20002i−2i0000002−2−i2i22−2−i2−i2i2i222−2−2000000002-22i−2i0000000−i2i22−20000000
χ3822-2-2222i−2i002-2-22-2-2202-2-202i−2i2i−2i00000−i2−i2i2i20002i−2i0000002−2i2−i2−22−i2−i2i2i222−2−200000000-22−2i2i0000000i2−i2−220000000
χ3922-2-2222i−2i002-2-22-2-2202-2-202i−2i2i−2i00000i2i2−i2−i20002i−2i000000−22−i2i22−2i2i2−i2−i2−2−22200000000-22−2i2i0000000−i2i22−20000000
χ4022-2-2222i−2i002-2-22-2-2202-2-202i−2i2i−2i00000i2i2−i2−i20002i−2i000000−22i2−i2−22i2i2−i2−i2−2−222000000002-22i−2i0000000i2−i2−220000000
χ4122-2-222−2i2i002-2-22-2-2202-2-20−2i2i−2i2i00000−i2−i2i2i2000−2i2i000000−22−i2i2−22−i2−i2i2i2−2−222000000002-2−2i2i0000000−i2i2−220000000
χ4222-2-222−2i2i002-2-22-2-2202-2-20−2i2i−2i2i00000−i2−i2i2i2000−2i2i000000−22i2−i22−2−i2−i2i2i2−2−22200000000-222i−2i0000000i2−i22−20000000
χ4322-2-222−2i2i002-2-22-2-2202-2-20−2i2i−2i2i00000i2i2−i2−i2000−2i2i0000002−2−i2i2−22i2i2−i2−i222−2−200000000-222i−2i0000000−i2i2−220000000
χ4422-2-222−2i2i002-2-22-2-2202-2-20−2i2i−2i2i00000i2i2−i2−i2000−2i2i0000002−2i2−i22−2i2i2−i2−i222−2−2000000002-2−2i2i0000000i2−i22−20000000
χ452-22-222002-2-222-2-2-220-2-2220000002-2-22i−2i2i−2i00000002-22i−2i0000002i−2i2i−2i0000000000000000000002i−2i00002-200000
χ462-22-222002-2-222-2-2-220-2-2220000002-2-22i−2i2i−2i00000002-2−2i2i0000002i−2i2i−2i000000000000000000000−2i2i0000-2200000
χ472-22-222002-2-222-2-2-220-2-2220000002-2-2−2i2i−2i2i00000002-22i−2i000000−2i2i−2i2i0000000000000000000002i−2i0000-2200000
χ482-22-222002-2-222-2-2-220-2-2220000002-2-2−2i2i−2i2i00000002-2−2i2i000000−2i2i−2i2i000000000000000000000−2i2i00002-200000
χ4944444-244-4-4-24-244-2-2-4-2-2-2244-2-2-4-4-4-420000002-2-222220000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-4-24-244-2-24-2-2-22-4-42244-4-42000000-222-2-2220000000000000000000000000000000000000000000000
χ514444-2444-4-44-24-2-24-2-4-2-2-2-4-2-2442222-4000000-4-2-222220000000000000000000000000000000000000000000000
χ524444-24-4-4-4-44-24-2-24-24-2-2-2-422-4-4-2-222-4000000422-2-2220000000000000000000000000000000000000000000000
χ534444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2000044-21111110000000000000000-2-211-2-2110000000000000000000000
χ544444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000-4-4-2111111000000000000000022-1-122-1-10000000000000000000000
χ554444-2-244-4-4-2-2-2-2-2-21-41112-2-2-2-222222000000211-1-1-1-10000000000000000003-3003-30000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-21-41112-2-2-2-222222000000211-1-1-1-1000000000000000000-3300-330000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-21-4111-2222222-2-2-200004-42-1-1-1-1110000000000000000-2-21122-1-10000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-21-4111-2222222-2-2-20000-442-1-1-1-111000000000000000022-1-1-2-2110000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-21411122222-2-2222000000-2-1-111-1-10000000000000000003-300-330000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-21411122222-2-2222000000-2-1-111-1-1000000000000000000-33003-30000000000000000000000
χ6144-4-44-24i−4i00-2-424-42-20-22204i−4i−2i2i000000000000−2i2i00000000−2i22i222−22000000000000000000000000000i2−i2−220000000
χ6244-4-44-24i−4i00-2-424-42-20-22204i−4i−2i2i000000000000−2i2i000000002i2−2i2−2222000000000000000000000000000−i2i22−20000000
χ6344-4-44-2−4i4i00-2-424-42-20-2220−4i4i2i−2i0000000000002i−2i00000000−2i22i2−2222000000000000000000000000000i2−i22−20000000
χ6444-4-44-2−4i4i00-2-424-42-20-2220−4i4i2i−2i0000000000002i−2i000000002i2−2i222−22000000000000000000000000000−i2i2−220000000
χ6544-4-4-244i−4i0042-4-22-4-20-2220−2i2i4i−4i00000−2i2−2i22i22i2000−2i2i00000022−220000i2i2−i2−i2−2−222000000000000000000000000000000
χ6644-4-4-244i−4i0042-4-22-4-20-2220−2i2i4i−4i000002i22i2−2i2−2i2000−2i2i000000−22220000−i2−i2i2i222−2−2000000000000000000000000000000
χ6744-4-4-24−4i4i0042-4-22-4-20-22202i−2i−4i4i00000−2i2−2i22i22i20002i−2i000000−22220000i2i2−i2−i222−2−2000000000000000000000000000000
χ6844-4-4-24−4i4i0042-4-22-4-20-22202i−2i−4i4i000002i22i2−2i2−2i20002i−2i00000022−220000−i2−i2i2i2−2−222000000000000000000000000000000
χ694-44-44400-44-444-4-4-440-4-44-4000000-44400000000000-440000000000000000000000000000000000000000000000
χ704-44-44-2004-424-2-4-42-2022-2-20000004-4200000000000-224i−4i0000000000000000000000000000000−2i2i00000000000
χ714-44-44-2004-424-2-4-42-2022-2-20000004-4200000000000-22−4i4i00000000000000000000000000000002i−2i00000000000
χ724-44-44-200-4424-2-4-42-2022-22000000-44-2000000000002-20000000000000000000000000000000−2i32i30000000000000
χ734-44-44-200-4424-2-4-42-2022-22000000-44-2000000000002-200000000000000000000000000000002i3−2i30000000000000
χ744-44-4-24004-4-4-2422-4-2022-24000000-22-44i−4i4i−4i0000000-2200000000−2i2i−2i2i0000000000000000000000000000000000
χ754-44-4-24004-4-4-2422-4-2022-24000000-22-4−4i4i−4i4i0000000-22000000002i−2i2i−2i0000000000000000000000000000000000
χ764-44-4-2400-44-4-2422-4-2022-2-40000002-24000000000002-200000000000023−2323−23000000000000000000000000000000
χ774-44-4-2400-44-4-2422-4-2022-2-40000002-24000000000002-2000000000000−2323−2323000000000000000000000000000000
χ784-4-44440000-4-4-4-44440-44-4000000000022−22−22220000000000000000022−22−22220000000000000000000000000000000000
χ794-4-44440000-4-4-4-44440-44-40000000000−222222−2200000000000000000−222222−220000000000000000000000000000000000
χ804-4-44-240000-42-42-24-202-220000023−2300022−22−22220000023−230000000000−222−26−6−66000000000000000000000000000000
χ814-4-44-240000-42-42-24-202-220000023−23000−222222−220000023−2300000000002−2−22−666−6000000000000000000000000000000
χ824-4-44-240000-42-42-24-202-2200000−232300022−22−222200000−23230000000000−222−2−666−6000000000000000000000000000000
χ834-4-44-240000-42-42-24-202-2200000−2323000−222222−2200000−232300000000002−2−226−6−66000000000000000000000000000000
χ8488-8-8-4-48i−8i00-444-444202-2-20−4i4i−4i4i0000000000002i−2i00000000000000000000000000000000000000000000000000
χ8588-8-8-4-4−8i8i00-444-444202-2-204i−4i4i−4i000000000000−2i2i00000000000000000000000000000000000000000000000000
χ868-88-8-4-4008-84-4-444420-2-22-4000000-444000000000002-20000000000000000000000000000000000000000000000
χ878-88-8-4-400-884-4-444420-2-2240000004-4-400000000000-220000000000000000000000000000000000000000000000
χ888-8-888-400004-84-88-4-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400004444-4-420-22-20000043−43000000000000−2323000000000000000000000000000000000000000000000000
χ908-8-88-4-400004444-4-420-22-200000−434300000000000023−23000000000000000000000000000000000000000000000000

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