Finite Group Databasebeta

← Group #11882264

Character table — Group #11882264

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order122233444466666634666121212121212121212122244441212121244121212121212121212121246688881212121212121212121224446612121212121224242424888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-11-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-11111-1-1-1-11111111-1-111111-1-1-1-11111-1-1-1-1-1-1
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
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ91111111-1-111111111-11111-1-1-1-1-1-11111111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-11111-1-1-1-1111-111-1-111-1-111-1-111-1-111-1-111-1-1-11
χ101111111-1-111111111-11111-1-1-1-1-1-11111111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-111-1-111-1-1111-111-1-1-11-11-1-11111-1-1-1-111-1-1111-1
χ111111111-1-111111111-11111-1-1-1-1-1-11111111-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-11111-1-1-1-111-11-1-111-1-111-1-111-1-11111-1-111-1-11-1
χ121111111-1-111111111-11111-1-1-1-1-1-11111111-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-111-1-111-1-111-11-1-1111-11-111-1-1-1-111-1-111-1-111-11
χ131111111-1-111111111-11111-1-1-1-1-1-1111-1-1-1-11111111-1-111-1-111-1-1-1-11-1-111-1-111-1-11-111-1-11-11-111-1-1-1-11111-1-1-1-1111-1
χ141111111-1-111111111-11111-1-1-1-1-1-1111-1-1-1-11111111-1-111-1-111-1-1-1-11-1-1-1-11111-1-11-111-1-1-1-111-1-111-1-111-1-11111-1-1-11
χ151111111-1-111111111-11111-1-1-1-1-1-1111-1-1-1-1111111-11-1-1-11111-1-1-1-11-1-111-1-111-1-1-11-1-111-11-11-1-11111-1-111-1-1-1-111-11
χ161111111-1-111111111-11111-1-1-1-1-1-1111-1-1-1-1111111-11-1-1-11111-1-1-1-11-1-1-1-11111-1-1-11-1-11111-1-111-1-111-1-1-1-11111-1-11-1
χ17222222-222-22222222-2222-22222-2-2-2-2-222-2-222222200-20000-2-222-2-2-2220000-2-2-2-20000000000000000000000000000
χ18222222-222-22222222-2222-22222-2-2-2-2-2-2-222-2-2-2-2-2-200-20000-2-222-2-22-2-2000022220000000000000000000000000000
χ19222222-2-2-2-222222222222-2-2-2-2-222-2-2-222-2-2-2-2-2-2-2-20020000-2-2-2-222222000022-2-20000000000000000000000000000
χ20222222-2-2-2-222222222222-2-2-2-2-222-2-2-2-2-2222222220020000-2-2-2-222-2-2-20000-2-2220000000000000000000000000000
χ2122222-12222-12-1-122-12-1-1-1-122-1-12222-1000000000022-12222-1-1-1-1-1-100022220000-1-1-1-1-1-12002-1-1-1-10000-1-1-1-1000000
χ2222222-12222-12-1-122-12-1-1-1-122-1-12222-1000000000022-12222-1-1-1-1-1-1000-2-2-2-20000-1-1-1-1-1-1-200-2111100001111000000
χ2322222-12222-12-1-122-12-1-1-1-122-1-12222-10000000000-2-2-1-2-2-2-2-1-1-1-1-1-100022220000111111-200-211110000-1-1-1-1000000
χ2422222-12222-12-1-122-12-1-1-1-122-1-12222-10000000000-2-2-1-2-2-2-2-1-1-1-1-1-1000-2-2-2-200001111112002-1-1-1-100001111000000
χ2522222-12-2-22-12-1-122-1-2-1-1-1-1-2-211-2-222-100000000002-2122-2-2-1-1111100022-2-20000-11-1-111200-2-1-1110000-1-111000000
χ2622222-12-2-22-12-1-122-1-2-1-1-1-1-2-211-2-222-100000000002-2122-2-2-1-11111000-2-2220000-11-1-111-200211-1-1000011-1-1000000
χ2722222-12-2-22-12-1-122-1-2-1-1-1-1-2-211-2-222-10000000000-221-2-222-1-1111100022-2-200001-111-1-1-200211-1-10000-1-111000000
χ2822222-12-2-22-12-1-122-1-2-1-1-1-1-2-211-2-222-10000000000-221-2-222-1-11111000-2-22200001-111-1-1200-2-1-111000011-1-1000000
χ292222-1222222-122-1-1-12-1-1-12-1-122-1-1-1-12222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-10000-1-1-1-122-1-1-1-102200000-1-1-1-10000000000
χ302222-1222222-122-1-1-12-1-1-12-1-122-1-1-1-12222222-1-1-1-1-2-221111-1-1-1-1-1-12-1-10000-1-1-1-1-2-211110-2-20000011110000000000
χ312222-1222222-122-1-1-12-1-1-12-1-122-1-1-1-12-2-2-2-2-2-21111222-1-1-1-1-1-1-1-1-1-1-2110000111122-1-1-1-10-2-20000011110000000000
χ322222-1222222-122-1-1-12-1-1-12-1-122-1-1-1-12-2-2-2-2-2-21111-2-221111-1-1-1-1-1-1-21100001111-2-2111102200000-1-1-1-10000000000
χ332222-122-2-222-122-1-1-1-2-1-1-1211-2-211-1-122222-2-211112-2-2-1-111-1-11111-2-1-1000011-1-12-2-1-11102-200000-1-1110000000000
χ342222-122-2-222-122-1-1-1-2-1-1-1211-2-211-1-122222-2-21111-22-211-1-1-1-11111-2-1-1000011-1-1-2211-1-10-220000011-1-10000000000
χ352222-122-2-222-122-1-1-1-2-1-1-1211-2-211-1-12-2-2-2-222-1-1-1-12-2-2-1-111-1-111112110000-1-1112-2-1-1110-220000011-1-10000000000
χ362222-122-2-222-122-1-1-1-2-1-1-1211-2-211-1-12-2-2-2-222-1-1-1-1-22-211-1-1-1-111112110000-1-111-2211-1-102-200000-1-1110000000000
χ372222-12-222-22-122-1-1-1-2-1-1-1-2-1-1221111-222-2-222-1-1-1-100-2−i3i3−i3i311-1-111-2-1-10000111100−i3i3−i3i300000000−i3i3−i3i30000000000
χ382222-12-222-22-122-1-1-1-2-1-1-1-2-1-1221111-222-2-222-1-1-1-100-2i3−i3i3−i311-1-111-2-1-10000111100i3−i3i3−i300000000i3−i3i3−i30000000000
χ392222-12-222-22-122-1-1-1-2-1-1-1-2-1-1221111-2-2-222-2-2111100-2−i3i3−i3i311-1-1112110000-1-1-1-100−i3i3−i3i300000000i3−i3i3−i30000000000
χ402222-12-222-22-122-1-1-1-2-1-1-1-2-1-1221111-2-2-222-2-2111100-2i3−i3i3−i311-1-1112110000-1-1-1-100i3−i3i3−i300000000−i3i3−i3i30000000000
χ412222-12-2-2-2-22-122-1-1-12-1-1-1-211-2-2-1-111-222-2-2-2-21111002−i3i3i3−i31111-1-12-1-10000-1-11100−i3i3i3−i300000000−i3i3i3−i30000000000
χ422222-12-2-2-2-22-122-1-1-12-1-1-1-211-2-2-1-111-222-2-2-2-21111002i3−i3−i3i31111-1-12-1-10000-1-11100i3−i3−i3i300000000i3−i3−i3i30000000000
χ432222-12-2-2-2-22-122-1-1-12-1-1-1-211-2-2-1-111-2-2-22222-1-1-1-1002−i3i3i3−i31111-1-1-211000011-1-100−i3i3i3−i300000000i3−i3−i3i30000000000
χ442222-12-2-2-2-22-122-1-1-12-1-1-1-211-2-2-1-111-2-2-22222-1-1-1-1002i3−i3−i3i31111-1-1-211000011-1-100i3−i3−i3i300000000−i3i3i3−i30000000000
χ452-2-222202-20-22-22-2-2202-2-202-22-2000002-2002-222-2-20000000002-20002-2−i2i2−i2i20000000000000000000000−i2i2−i2i2−i2i2−i2i200
χ462-2-222202-20-22-22-2-2202-2-202-22-2000002-2002-222-2-20000000002-20002-2i2−i2i2−i20000000000000000000000i2−i2i2−i2i2−i2i2−i200
χ472-2-222202-20-22-22-2-2202-2-202-22-200000-2200-22-2-2220000000002-2000-22−i2i2−i2i20000000000000000000000−i2i2−i2i2i2−i2i2−i200
χ482-2-222202-20-22-22-2-2202-2-202-22-200000-2200-22-2-2220000000002-2000-22i2−i2i2−i20000000000000000000000i2−i2i2−i2−i2i2−i2i200
χ492-2-22220-220-22-22-2-2202-2-20-22-22000002-200-22-2-222000000000-220002-2−i2i2i2−i20000000000000000000000−i2i2i2−i2−i2i2i2−i200
χ502-2-22220-220-22-22-2-2202-2-20-22-22000002-200-22-2-222000000000-220002-2i2−i2−i2i20000000000000000000000i2−i2−i2i2i2−i2−i2i200
χ512-2-22220-220-22-22-2-2202-2-20-22-2200000-22002-222-2-2000000000-22000-22−i2i2i2−i20000000000000000000000−i2i2i2−i2i2−i2−i2i200
χ522-2-22220-220-22-22-2-2202-2-20-22-2200000-22002-222-2-2000000000-22000-22i2−i2−i2i20000000000000000000000i2−i2−i2i2−i2i2i2−i200
χ5344444-2-444-4-24-2-244-2-4-2-2-2244-2-2-4-4-4-420000000000002000022-2-222000000000000000000000000000000000000000
χ5444444-2-4-4-4-4-24-2-244-24-2-2-22-4-42244-4-42000000000000-200002222-2-2000000000000000000000000000000000000000
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
χ564444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000000000-4-4-222221111110000000000022-1-1-1-10000000000000000000000
χ574444-2-24-4-44-2-2-2-2-2-21-4111-2222222-2-2-200000000004-42-2-22211-1-1-1-100000000000-2211-1-10000000000000000000000
χ584444-2-24-4-44-2-2-2-2-2-21-4111-2222222-2-2-20000000000-44222-2-211-1-1-1-1000000000002-2-1-1110000000000000000000000
χ594444-2-2-444-4-2-2-2-2-2-21-41112-2-2-2-2222220000000000002−2i32i3−2i32i3-1-111-1-10000000000000i3−i3i3−i30000000000000000000000
χ604444-2-2-444-4-2-2-2-2-2-21-41112-2-2-2-22222200000000000022i3−2i32i3−2i3-1-111-1-10000000000000−i3i3−i3i30000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-21411122222-2-2222000000000000-2−2i32i32i3−2i3-1-1-1-1110000000000000i3−i3−i3i30000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-21411122222-2-2222000000000000-22i3−2i3−2i32i3-1-1-1-1110000000000000−i3i3i3−i30000000000000000000000
χ6344-4-4440000-4-44-44-440-4-440000000000004i−4i00000000000000000000000000004i−4i0000000000000000000000000000
χ6444-4-4440000-4-44-44-440-4-44000000000000−4i4i0000000000000000000000000000−4i4i0000000000000000000000000000
χ6544-4-4-240000-424-4-22-2022-200000−2i32i3000004i−4i0023−2323−2300000000000−2i32i3000000000−2i2i0000000000000000000000000000
χ6644-4-4-240000-424-4-22-2022-200000−2i32i300000−4i4i00−2323−232300000000000−2i32i30000000002i−2i0000000000000000000000000000
χ6744-4-4-240000-424-4-22-2022-2000002i3−2i3000004i−4i00−2323−2323000000000002i3−2i3000000000−2i2i0000000000000000000000000000
χ6844-4-4-240000-424-4-22-2022-2000002i3−2i300000−4i4i0023−2323−23000000000002i3−2i30000000002i−2i0000000000000000000000000000
χ694-44-444400-44-4-4-4-4440-44-440000004-4-4000000000000000004-40000000000000000000000000000000000000000000
χ704-44-444-40044-4-4-4-4440-44-4-4000000-44400000000000000000-440000000000000000000000000000000000000000000
χ714-44-44-2400-4-2-422-44-202-22-20000004-4200000000000000000-220000000000000000000000000−2i32i30000000000000000
χ724-44-44-2400-4-2-422-44-202-22-20000004-4200000000000000000-2200000000000000000000000002i3−2i30000000000000000
χ734-44-44-2-4004-2-422-44-202-222000000-44-2000000000000000002-200000000000000000000000000023−2300000000000000
χ744-44-44-2-4004-2-422-44-202-222000000-44-2000000000000000002-2000000000000000000000000000−232300000000000000
χ754-44-4-24400-442-4-42-2-202-224000000-22-400000023−23−23230000000-220000000000023−23000000000000000000000000000000
χ764-44-4-24400-442-4-42-2-202-224000000-22-4000000−232323−230000000-2200000000000−2323000000000000000000000000000000
χ774-44-4-24-400442-4-42-2-202-22-40000002-2400000023−23−232300000002-200000000000−2323000000000000000000000000000000
χ784-44-4-24-400442-4-42-2-202-22-40000002-24000000−232323−2300000002-20000000000023−23000000000000000000000000000000
χ794-4-444-204-40242-2-4-4-20-22204-4-22000000000000000000000000-2200000−2i22i2−2i22i20000000000000000000000i2−i2i2−i2000000
χ804-4-444-204-40242-2-4-4-20-22204-4-22000000000000000000000000-22000002i2−2i22i2−2i20000000000000000000000−i2i2−i2i2000000
χ814-4-444-20-440242-2-4-4-20-2220-442-20000000000000000000000002-200000−2i22i22i2−2i20000000000000000000000i2−i2−i2i2000000
χ824-4-444-20-440242-2-4-4-20-2220-442-20000000000000000000000002-2000002i2−2i2−2i22i20000000000000000000000−i2i2i2−i2000000
χ834-4-44-2404-40-4-2-4422-20-2220-224-4000004-4004-4-2-222000000000-22000-22000000000000000000000000000000000000
χ844-4-44-2404-40-4-2-4422-20-2220-224-400000-4400-4422-2-2000000000-220002-2000000000000000000000000000000000000
χ854-4-44-240-440-4-2-4422-20-22202-2-44000004-400-4422-2-20000000002-2000-22000000000000000000000000000000000000
χ864-4-44-240-440-4-2-4422-20-22202-2-4400000-44004-4-2-2220000000002-20002-2000000000000000000000000000000000000
χ8788-8-88-400004-8-448-8-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8-4-4000044-44-4420-2-2200000−4i34i30000000000000000000000002i3−2i3000000000000000000000000000000000000000
χ8988-8-8-4-4000044-44-4420-2-22000004i3−4i3000000000000000000000000−2i32i3000000000000000000000000000000000000000
χ908-88-8-4-4800-8-44444-420-22-2-4000000-444000000000000000002-20000000000000000000000000000000000000000000
χ918-88-8-4-4-8008-44444-420-22-240000004-4-400000000000000000-220000000000000000000000000000000000000000000
χ928-8-88-4-408-804-44-444202-2-20-44-440000000000000000000000002-200000000000000000000000000000000000000000
χ938-8-88-4-40-8804-44-444202-2-204-44-4000000000000000000000000-2200000000000000000000000000000000000000000

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