Finite Group Databasebeta

← Group #11872975

Character table — Group #11872975

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order1222334466666634466612121212121244442466121212121212121212121224444488121212126661212124468121212121212121212242424242244888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11-1-111111111111111-1-11111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-1-1-11-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-1111111111111111-1-1111111-1-1-1-1111111-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ711111111111111111111111111-1-1-1-1-1-1-1-11-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1111111111111-1-1-1
χ9111111111111111-1-1111-1-1111111111-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111-1-1-11-1-11-1-1-11111-1-111-1-1-1-111-1-11
χ10111111111111111-1-1111-1-1111111111-111-1-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-11-1-1-1-111-1-111-1-1-1-11111-1-111-1
χ11111111111111111-1-1111-1-111111111-11-1-1-111-1-1-1-1-1-111-1-111-1-1111111-1-1-1111-11-1-1-1-1-111-1-111-1-111-1-11111-1
χ12111111111111111-1-1111-1-111111111-11-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1111-11-11-111-1-1-1-11111-1-111-1-1-1-11
χ13111111111111111-1-1111-1-11111-1-1-1-11-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-111-1-11111-1-111-1-111-1
χ14111111111111111-1-1111-1-11111-1-1-1-11-111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-1-1-111-1111-1-1-1-111-1-111-1-111-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-11-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-11111-11-11-1-11111-1-1-1-11111-1-1-1-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-11-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-11111-111111-1-111-1-111-1-1-1-11111-1
χ17222222-2-222222222-222222-2-2-2-222-2-20000200-2-222-2-2-2-2-2200000022-2-200000000-2020000000000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2220000200-2-222-2-2-2-22-2000000-2-2220000000020-20000000000000000000
χ19222222-2-22222222-22222-2-2-2-2-2-222-2-20000-20022-2-222-2-22-200000022-2-20000000020-20000000000000000000
χ20222222-2-22222222-22222-2-2-2-2-2-2-2-2220000-20022-2-222-2-2-22000000-2-22200000000-2020000000000000000000
χ2122222-1222-1-122-1-122-1-1-122-1-122222222-1-1-1-1-12-1-1-1-1-1-1-122000000-1-1-1-12-1-12-1-122-10-10000-1-1-1-100000000000
χ2222222-1222-1-122-1-122-1-1-122-1-1222222-2-211-1112-1-1-1-1-1-1-122000000-1-1-1-1-211-211-2-2-10-10000111100000000000
χ2322222-1222-1-122-1-122-1-1-122-1-122-2-2-2-222-1-1-1-1-12-1-1-1-1-1-1-1-2-200000011112-1-12-1-1-2-21010000111100000000000
χ2422222-1222-1-122-1-122-1-1-122-1-122-2-2-2-2-2-211-1112-1-1-1-1-1-1-1-2-20000001111-211-211221010000-1-1-1-100000000000
χ2522222-1222-1-122-1-1-2-2-1-1-1-2-2-1-12222222-2-1-1111-211111-1-1-2-2000000-1-1-1-12-1-1-2112-21010000-1-11100000000000
χ2622222-1222-1-122-1-1-2-2-1-1-1-2-2-1-1222222-22111-1-1-211111-1-1-2-2000000-1-1-1-1-2112-1-1-22101000011-1-100000000000
χ2722222-1222-1-122-1-1-2-2-1-1-1-2-2-1-122-2-2-2-22-2-1-1111-211111-1-12200000011112-1-1-211-22-10-1000011-1-100000000000
χ2822222-1222-1-122-1-1-2-2-1-1-1-2-2-1-122-2-2-2-2-22111-1-1-211111-1-1220000001111-2112-1-12-2-10-10000-1-11100000000000
χ2922222-1-2-22-1-122-1-12-2-1-1-12211-2-222-2-200−i3i3-1−i3i3-21-1-11111-22000000-1-1110−i3i30−i3i30010-10000−i3i3−i3i300000000000
χ3022222-1-2-22-1-122-1-12-2-1-1-12211-2-222-2-200i3−i3-1i3−i3-21-1-11111-22000000-1-1110i3−i30i3−i30010-10000i3−i3i3−i300000000000
χ3122222-1-2-22-1-122-1-12-2-1-1-12211-2-2-2-22200−i3i3-1−i3i3-21-1-111112-200000011-1-10−i3i30−i3i300-1010000i3−i3i3−i300000000000
χ3222222-1-2-22-1-122-1-12-2-1-1-12211-2-2-2-22200i3−i3-1i3−i3-21-1-111112-200000011-1-10i3−i30i3−i300-1010000−i3i3−i3i300000000000
χ3322222-1-2-22-1-122-1-1-22-1-1-1-2-211-2-222-2-200−i3i31i3−i32-111-1-1112-2000000-1-1110−i3i30i3−i300-1010000−i3i3i3−i300000000000
χ3422222-1-2-22-1-122-1-1-22-1-1-1-2-211-2-222-2-200i3−i31−i3i32-111-1-1112-2000000-1-1110i3−i30−i3i300-1010000i3−i3−i3i300000000000
χ3522222-1-2-22-1-122-1-1-22-1-1-1-2-211-2-2-2-22200−i3i31i3−i32-111-1-111-2200000011-1-10−i3i30i3−i30010-10000i3−i3−i3i300000000000
χ3622222-1-2-22-1-122-1-1-22-1-1-1-2-211-2-2-2-22200i3−i31−i3i32-111-1-111-2200000011-1-10i3−i30−i3i30010-10000−i3i3i3−i300000000000
χ372222-1222-122-1-12-122-1-1-1-1-122-1-100002222222-12-1-1-1-1-1-1002222220000-1-1-1-1-1-100020-1-1-1-10000-1-1-1-10000000
χ382222-1222-122-1-12-122-1-1-1-1-122-1-100002222222-12-1-1-1-1-1-100-2-2-2-2-2-20000-1-1-1-1-1-1000-201111000011110000000
χ392222-1222-122-1-12-122-1-1-1-1-122-1-10000-2-2-2-22-2-2-12-1-1-1-1-1-1002222-2-20000111111000-20-1-1-1-1000011110000000
χ402222-1222-122-1-12-122-1-1-1-1-122-1-10000-2-2-2-22-2-2-12-1-1-1-1-1-100-2-2-2-22200001111110002011110000-1-1-1-10000000
χ412222-1222-122-1-12-1-2-2-1-1-11122-1-100002-222-2-2-21-21111-1-10022-2-2-2-20000-1-1-11110002011-1-10000-1-1110000000
χ422222-1222-122-1-12-1-2-2-1-1-11122-1-100002-222-2-2-21-21111-1-100-2-222220000-1-1-1111000-20-1-111000011-1-10000000
χ432222-1222-122-1-12-1-2-2-1-1-11122-1-10000-22-2-2-2221-21111-1-10022-2-2220000111-1-1-1000-2011-1-1000011-1-10000000
χ442222-1222-122-1-12-1-2-2-1-1-11122-1-10000-22-2-2-2221-21111-1-100-2-222-2-20000111-1-1-100020-1-1110000-1-1110000000
χ452-22-2222-2-2-22-22-2200-2-22002-2-222i−2i2i−2i00000000000002-2002-200002i−2i2i−2i00000000000002-200000000002i−2i000
χ462-22-2222-2-2-22-22-2200-2-22002-2-222i−2i2i−2i00000000000002-200-2200002i−2i2i−2i0000000000000-220000000000−2i2i000
χ472-22-2222-2-2-22-22-2200-2-22002-2-22−2i2i−2i2i00000000000002-2002-20000−2i2i−2i2i00000000000002-20000000000−2i2i000
χ482-22-2222-2-2-22-22-2200-2-22002-2-22−2i2i−2i2i00000000000002-200-220000−2i2i−2i2i0000000000000-2200000000002i−2i000
χ492-22-222-22-2-22-22-2200-2-2200-222-22i−2i−2i2i0000000000000-2200002i−2i002i−2i−2i2i000000000002i−2i00000000002-200000
χ502-22-222-22-2-22-22-2200-2-2200-222-22i−2i−2i2i0000000000000-220000−2i2i002i−2i−2i2i00000000000−2i2i0000000000-2200000
χ512-22-222-22-2-22-22-2200-2-2200-222-2−2i2i2i−2i0000000000000-2200002i−2i00−2i2i2i−2i000000000002i−2i0000000000-2200000
χ522-22-222-22-2-22-22-2200-2-2200-222-2−2i2i2i−2i0000000000000-220000−2i2i00−2i2i2i−2i00000000000−2i2i00000000002-200000
χ534444-24-4-4-244-2-24-24-4-2-2-2-2-2-4-422000000004002-4-2-22222000000000000000000000000000000000000000000
χ544444-24-4-4-244-2-24-2-44-2-2-222-4-42200000000-400-2422-2-222000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2000044-2-2-2-2-2-2-2111111000000000000-211-211000000000000000000000000
χ564444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20000-4-422-222-2-21111110000000000002-1-12-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-21-4-411122-2-2-2-200004-4-2-222222-1-1-1-111000000000000-2112-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-21-4-411122-2-2-2-20000-44222-2-222-1-1-1-1110000000000002-1-1-211000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-214-4111-2-22222000000−2i32i3-2−2i32i32211-1-1-1-10000000000000i3−i30i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-214-4111-2-222220000002i3−2i3-22i3−2i32211-1-1-1-10000000000000−i3i30−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-21-44111222222000000−2i32i322i3−2i3-2-2-1-111-1-10000000000000i3−i30−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-21-441112222220000002i3−2i32−2i32i3-2-2-1-111-1-10000000000000−i3i30i3−i3000000000000000000000000
χ6344-4-4440044-4-4-4-44004-4-4000000000000000000000000000000000000000000000000000000000000000022−220
χ6444-4-4440044-4-4-4-44004-4-40000000000000000000000000000000000000000000000000000000000000000−22220
χ654-44-44-24-4-42-2-442-20022-200-22-444i−4i4i−4i0000000000000-2200000000−2i2i−2i2i000000000000000000000000000000
χ664-44-44-24-4-42-2-442-20022-200-22-44−4i4i−4i4i0000000000000-22000000002i−2i2i−2i000000000000000000000000000000
χ674-44-44-2-44-42-2-442-20022-2002-24-44i−4i−4i4i00000000000002-200000000−2i2i2i−2i000000000000000000000000000000
χ684-44-44-2-44-42-2-442-20022-2002-24-4−4i4i4i−4i00000000000002-2000000002i−2i−2i2i000000000000000000000000000000
χ694-44-4-244-42-442-2-4-20022-2004-42-200000000000000000-22004-4000000000000000000000-22000000000000000
χ704-44-4-244-42-442-2-4-20022-2004-42-200000000000000000-2200-440000000000000000000002-2000000000000000
χ714-44-4-24-442-442-2-4-20022-200-44-22000000000000000002-200004i−4i00000000000000000−2i2i00000000000000000
χ724-44-4-24-442-442-2-4-20022-200-44-22000000000000000002-20000−4i4i000000000000000002i−2i00000000000000000
χ734-4-444400-4-4-44-44400-44-4000000000000000000000000000000022−22000000000000000000000000022−220000000
χ744-4-444400-4-4-44-44400-44-40000000000000000000000000000000−22220000000000000000000000000−22220000000
χ754-4-44-24002-4-4-224-2002-2223−230000000000000000023−23000000000022−22000000000000000000000006−6−220000000
χ764-4-44-24002-4-4-224-2002-2223−230000000000000000023−230000000000−222200000000000000000000000−662−20000000
χ774-4-44-24002-4-4-224-2002-22−232300000000000000000−2323000000000022−2200000000000000000000000−66−220000000
χ784-4-44-24002-4-4-224-2002-22−232300000000000000000−23230000000000−2222000000000000000000000006−62−20000000
χ7988-8-88-4008-44-8-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4800-48-844-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-444442002-2-20000000000000000000006i−6i00000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-444442002-2-2000000000000000000000−6i6i00000000000000000000000000000000000000000000
χ838-88-8-4-48-844-44-44200-2-2200-444-4000000000000000002-2000000000000000000000000000000000000000000
χ848-88-8-4-4-8844-44-44200-2-22004-4-4400000000000000000-22000000000000000000000000000000000000000000
χ858-8-888-400-8448-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-44-4200-22-243−4300000000000000000−23230000000000000000000000000000000000000000000000
χ878-8-88-4-400444-44-4200-22-2−43430000000000000000023−230000000000000000000000000000000000000000000000

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