Finite Group Databasebeta

← Group #11882338

Character table — Group #11882338

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order12223344446666663466612121212121212121212224444121212122266661212121212121246688881212121266666624446612121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-11111-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ9111111-1-1111111111-1111111-1-1-1-1-1-111111-1-1-1-1-1-11-111-1-1-111-1-1-1-1-11111-1-111-1-11-111-1-11-11-111-1-111-1-111-1-111-1-1-11
χ10111111-1-1111111111-1111111-1-1-1-1-1-111111-1-1-1-1-1-11-111-1-1-111-1-1-1-1-111-1-11111-1-11-111-1-1-111-1-1-11111-1-1-1-111-1-1111-1
χ11111111-1-1111111111-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-11-1-111-111-1-1-1-1-11111-1-111-1-1-11-1-111-11-11-1-111-1-11111-1-111-1-11-1
χ12111111-1-1111111111-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-11-1-111-111-1-1-1-1-111-1-11111-1-1-11-1-1111-1-1111-1-1-1-111-1-111-1-111-11
χ13111111-1-1111111111-1111111-1-1-1-1-1-11-1-1-1-11111111-111-1-1-111-1-1-1-11-1-111-1-1-1-1111-111-1-11-1-1111-1-1-1-11111-1-1-1-1111-1
χ14111111-1-1111111111-1111111-1-1-1-1-1-11-1-1-1-11111111-111-1-1-111-1-1-1-11-1-1-1-111-1-1111-111-1-1-11-11-1-111-1-111-1-11111-1-1-11
χ15111111-1-1111111111-1111111-1-1-1-1-1-11-1-1-1-1111111-11-1-111-111-1-1-1-11-1-111-1-1-1-111-11-1-111-111-1-1-11111-1-111-1-1-1-111-11
χ16111111-1-1111111111-1111111-1-1-1-1-1-11-1-1-1-1111111-11-1-111-111-1-1-1-11-1-1-1-111-1-111-11-1-1111-11-111-1-111-1-1-1-11111-1-11-1
χ1722222222-2-22222222-2222-2-2-22222-2-2-222-2-2-2-2-2-2-2-2000000-2-2-222-2-22220000-2-2220000000000000000000000000000
χ1822222222-2-22222222-2222-2-2-22222-2-2-2-2-222222222000000-2-2-222-2-2-2-2-2000022-2-20000000000000000000000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-222-222-2-22222220000002-2-2-2-222-2220000-2-2-2-20000000000000000000000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-222-2-2-222-2-2-2-2-2-20000002-2-2-2-2222-2-2000022220000000000000000000000000000
χ2122222-12222-1-122-12-12-1-1-1-12222-1-122-10000000000222222-1-1-1-1-1-1-100022220000-1-1-1-1-1-12200-1-1-1-10000-1-1-1-1000000
χ2222222-12222-1-122-12-12-1-1-1-12222-1-122-10000000000222222-1-1-1-1-1-1-1000-2-2-2-20000-1-1-1-1-1-1-2-200111100001111000000
χ2322222-12222-1-122-12-12-1-1-1-12222-1-122-10000000000-2-2-2-2-2-2-1-1-1-1-1-1-100022220000111111-2-20011110000-1-1-1-1000000
χ2422222-12222-1-122-12-12-1-1-1-12222-1-122-10000000000-2-2-2-2-2-2-1-1-1-1-1-1-1000-2-2-2-200001111112200-1-1-1-100001111000000
χ2522222-1-2-222-1-122-12-1-2-1-1-1-122-2-211-2-2-100000000002-222-2-21-1-1111100022-2-20000-11-1-1112-200-1-1110000-1-111000000
χ2622222-1-2-222-1-122-12-1-2-1-1-1-122-2-211-2-2-100000000002-222-2-21-1-11111000-2-2220000-11-1-111-220011-1-1000011-1-1000000
χ2722222-1-2-222-1-122-12-1-2-1-1-1-122-2-211-2-2-10000000000-22-2-2221-1-1111100022-2-200001-111-1-1-220011-1-10000-1-111000000
χ2822222-1-2-222-1-122-12-1-2-1-1-1-122-2-211-2-2-10000000000-22-2-2221-1-11111000-2-22200001-111-1-12-200-1-111000011-1-1000000
χ292222-12222222-1-12-1-12-1-1-12-1-1-1-122-1-12222222-1-1-1-122-1-1-1-12-1-1-1-1-1-12-1-10000-1-1-1-122-1-1-1-100220000-1-1-1-10000000000
χ302222-12222222-1-12-1-12-1-1-12-1-1-1-122-1-12222222-1-1-1-1-2-211112-1-1-1-1-1-12-1-10000-1-1-1-1-2-2111100-2-2000011110000000000
χ312222-12222222-1-12-1-12-1-1-12-1-1-1-122-1-12-2-2-2-2-2-2111122-1-1-1-12-1-1-1-1-1-1-2110000111122-1-1-1-100-2-2000011110000000000
χ322222-12222222-1-12-1-12-1-1-12-1-1-1-122-1-12-2-2-2-2-2-21111-2-211112-1-1-1-1-1-1-21100001111-2-2111100220000-1-1-1-10000000000
χ332222-1222-2-222-1-12-1-1-2-1-1-1-211-1-12211-222-2-2-2-2111100−i3i3−i3i3-211-1-1112-1-1000011-1-100−i3i3−i3i300000000−i3i3−i3i30000000000
χ342222-1222-2-222-1-12-1-1-2-1-1-1-211-1-12211-222-2-2-2-2111100i3−i3i3−i3-211-1-1112-1-1000011-1-100i3−i3i3−i300000000i3−i3i3−i30000000000
χ352222-1222-2-222-1-12-1-1-2-1-1-1-211-1-12211-2-2-22222-1-1-1-100−i3i3−i3i3-211-1-111-2110000-1-11100−i3i3−i3i300000000i3−i3i3−i30000000000
χ362222-1222-2-222-1-12-1-1-2-1-1-1-211-1-12211-2-2-22222-1-1-1-100i3−i3i3−i3-211-1-111-2110000-1-11100i3−i3i3−i300000000−i3i3−i3i30000000000
χ372222-12-2-22222-1-12-1-1-2-1-1-12-1-111-2-21122222-2-211112-2-1-111-2-1-11111-2-1-10000-1-1112-2-1-111002-20000-1-1110000000000
χ382222-12-2-22222-1-12-1-1-2-1-1-12-1-111-2-21122222-2-21111-2211-1-1-2-1-11111-2-1-10000-1-111-2211-1-100-22000011-1-10000000000
χ392222-12-2-22222-1-12-1-1-2-1-1-12-1-111-2-2112-2-2-2-222-1-1-1-12-2-1-111-2-1-11111211000011-1-12-2-1-11100-22000011-1-10000000000
χ402222-12-2-22222-1-12-1-1-2-1-1-12-1-111-2-2112-2-2-2-222-1-1-1-1-2211-1-1-2-1-11111211000011-1-1-2211-1-1002-20000-1-1110000000000
χ412222-12-2-2-2-222-1-12-1-12-1-1-1-21111-2-2-1-1-222-2-222-1-1-1-100−i3i3i3−i321111-1-1-2-1-10000111100−i3i3i3−i300000000−i3i3i3−i30000000000
χ422222-12-2-2-2-222-1-12-1-12-1-1-1-21111-2-2-1-1-222-2-222-1-1-1-100i3−i3−i3i321111-1-1-2-1-10000111100i3−i3−i3i300000000i3−i3−i3i30000000000
χ432222-12-2-2-2-222-1-12-1-12-1-1-1-21111-2-2-1-1-2-2-222-2-2111100−i3i3i3−i321111-1-12110000-1-1-1-100−i3i3i3−i300000000i3−i3−i3i30000000000
χ442222-12-2-2-2-222-1-12-1-12-1-1-1-21111-2-2-1-1-2-2-222-2-2111100i3−i3−i3i321111-1-12110000-1-1-1-100i3−i3−i3i300000000−i3i3i3−i30000000000
χ4522-2-2222-200-2-22-22-2202-2-20002-22-2000002i−2i2i−2i2i2i−2i−2i0000000002-2000002−22−22i−2i000000000000000000002−22−2−i2i2−i2i200
χ4622-2-2222-200-2-22-22-2202-2-20002-22-2000002i−2i2i−2i2i2i−2i−2i0000000002-200000−22−222i−2i00000000000000000000−22−22i2−i2i2−i200
χ4722-2-2222-200-2-22-22-2202-2-20002-22-200000−2i2i−2i2i−2i−2i2i2i0000000002-2000002−22−2−2i2i000000000000000000002−22−2i2−i2i2−i200
χ4822-2-2222-200-2-22-22-2202-2-20002-22-200000−2i2i−2i2i−2i−2i2i2i0000000002-200000−22−22−2i2i00000000000000000000−22−22−i2i2−i2i200
χ4922-2-222-2200-2-22-22-2202-2-2000-22-22000002i−2i−2i2i−2i−2i2i2i000000000-22000002−2−222i−2i000000000000000000002−2−22−i2i2i2−i200
χ5022-2-222-2200-2-22-22-2202-2-2000-22-22000002i−2i−2i2i−2i−2i2i2i000000000-2200000−222−22i−2i00000000000000000000−222−2i2−i2−i2i200
χ5122-2-222-2200-2-22-22-2202-2-2000-22-2200000−2i2i2i−2i2i2i−2i−2i000000000-22000002−2−22−2i2i000000000000000000002−2−22i2−i2−i2i200
χ5222-2-222-2200-2-22-22-2202-2-2000-22-2200000−2i2i2i−2i2i2i−2i−2i000000000-2200000−222−2−2i2i00000000000000000000−222−2−i2i2i2−i200
χ5344444-244-4-4-2-244-24-2-4-2-2-22-4-444-2-2-4-420000000000000000222-2-222000000000000000000000000000000000000000
χ5444444-2-4-4-4-4-2-244-24-24-2-2-22-4-4-4-4224420000000000000000-22222-2-2000000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2000000000044-2-2-2-2-211111100000000000-2-211110000000000000000000000
χ564444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000000000-4-42222-21111110000000000022-1-1-1-10000000000000000000000
χ574444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-2222000000000000−2i32i3−2i32i32-1-111-1-10000000000000i3−i3i3−i30000000000000000000000
χ584444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-22220000000000002i3−2i32i3−2i32-1-111-1-10000000000000−i3i3−i3i30000000000000000000000
χ594444-2-2-4-444-2-2-2-2-2-21-4111-2-2-2222222-200000000004-4-2-222211-1-1-1-100000000000-2211-1-10000000000000000000000
χ604444-2-2-4-444-2-2-2-2-2-21-4111-2-2-2222222-20000000000-4422-2-2211-1-1-1-1000000000002-2-1-1110000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-2141112222222-2-22000000000000−2i32i32i3−2i3-2-1-1-1-1110000000000000i3−i3−i3i30000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-2141112222222-2-220000000000002i3−2i3−2i32i3-2-1-1-1-1110000000000000−i3i3i3−i30000000000000000000000
χ6344-4-44-24-400224-4-2-4-20-2220004-4-220000000000000000000000-220000022−2222−220000000000000000000000−22−22000000
χ6444-4-44-24-400224-4-2-4-20-2220004-4-220000000000000000000000-2200000−2222−222200000000000000000000002−22−2000000
χ6544-4-44-2-4400224-4-2-4-20-222000-442-200000000000000000000002-20000022−22−22220000000000000000000000−222−2000000
χ6644-4-44-2-4400224-4-2-4-20-222000-442-200000000000000000000002-200000−222222−2200000000000000000000002−2−22000000
χ6744-4-4-244-400-4-4-2242-20-222000-224-4000004i−4i4i−4i−2i−2i2i2i000000000-22000000000−2i2i000000000000000000000000000000
χ6844-4-4-244-400-4-4-2242-20-222000-224-400000−4i4i−4i4i2i2i−2i−2i000000000-220000000002i−2i000000000000000000000000000000
χ6944-4-4-24-4400-4-4-2242-20-2220002-2-44000004i−4i−4i4i2i2i−2i−2i0000000002-2000000000−2i2i000000000000000000000000000000
χ7044-4-4-24-4400-4-4-2242-20-2220002-2-4400000−4i4i4i−4i−2i−2i2i2i0000000002-20000000002i−2i000000000000000000000000000000
χ714-44-444004-44-4-44-4-440-44-444-4000000-4000000000000000004-40000000000000000000000000000000000000000000
χ724-44-44400-444-4-44-4-440-44-4-4-44000000400000000000000000-440000000000000000000000000000000000000000000
χ734-44-44-2004-4-22-442-4-202-22-24-4000000200000000000000000-2200000000000000000000000000023−2300000000000000
χ744-44-44-2004-4-22-442-4-202-22-24-4000000200000000000000000-22000000000000000000000000000−232300000000000000
χ754-44-44-200-44-22-442-4-202-222-44000000-2000000000000000002-20000000000000000000000000−2i32i30000000000000000
χ764-44-44-200-44-22-442-4-202-222-44000000-2000000000000000002-200000000000000000000000002i3−2i30000000000000000
χ774-44-4-24004-44-42-2-42-202-224-22000000-400000023−2323−230000000-22000000000000023−230000000000000000000000000000
χ784-44-4-24004-44-42-2-42-202-224-22000000-4000000−2323−23230000000-220000000000000−23230000000000000000000000000000
χ794-44-4-2400-444-42-2-42-202-22-42-2000000400000023−2323−2300000002-20000000000000−23230000000000000000000000000000
χ804-44-4-2400-444-42-2-42-202-22-42-20000004000000−2323−232300000002-2000000000000023−230000000000000000000000000000
χ814-4-44440000-44-4-4-4440-4-4400000000004-400000000000000000000004-4000000000000000000000000000000000000
χ824-4-44440000-44-4-4-4440-4-440000000000-440000000000000000000000-44000000000000000000000000000000000000
χ834-4-44-240000-4422-4-2-2022-20000000−2i32i304-40000−2i32i32i3−2i300000000000−2i32i30-22000000000000000000000000000000000000
χ844-4-44-240000-4422-4-2-2022-20000000−2i32i30-4400002i3−2i3−2i32i300000000000−2i32i302-2000000000000000000000000000000000000
χ854-4-44-240000-4422-4-2-2022-200000002i3−2i304-400002i3−2i3−2i32i3000000000002i3−2i30-22000000000000000000000000000000000000
χ864-4-44-240000-4422-4-2-2022-200000002i3−2i30-440000−2i32i32i3−2i3000000000002i3−2i302-2000000000000000000000000000000000000
χ8788-8-8-4-48-80044-44-44202-2-2000-44-4400000000000000000000002-200000000000000000000000000000000000000000
χ8888-8-8-4-4-880044-44-44202-2-20004-44-40000000000000000000000-2200000000000000000000000000000000000000000
χ898-88-8-4-4008-8-444-44420-22-2-4-440000004000000000000000002-20000000000000000000000000000000000000000000
χ908-88-8-4-400-88-444-44420-22-244-4000000-400000000000000000-220000000000000000000000000000000000000000000
χ918-8-888-400004-4-8-848-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400004-4444-420-2-220000000−4i34i300000000000000000000002i3−2i3000000000000000000000000000000000000000
χ938-8-88-4-400004-4444-420-2-2200000004i3−4i30000000000000000000000−2i32i3000000000000000000000000000000000000000

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