Finite Group Databasebeta

← Group #11884642

Character table — Group #11884642

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444466666688888888888888121212121212121212121212121212161616161616242424242424242424242436364848727272
order122233446666663666881212121224242424441212121224661212121224242424242422224446688242424246661212124466681212122424441212448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-111-111111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1111111111-1-11-1-1111111111-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-11
χ41111111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1
χ51111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-11-1-11-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-111-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-11111-1-11
χ9111111111111111111-1-11111-1-1-1-11111111-111-1-111-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1111-1-1-11-11-1-1-1111-1-1111-11-1-1
χ10111111111111111111-1-11111-1-1-1-11111111-111-1-111-1-1-1-1-1-11-1-1-111-111-1-1-1-1-1-1111-1-1-1-11-1-1-11-11111-1-1-11-111
χ11111111111111111111-1-11111-1-1-1-1111111-11-1-11111-1-1-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-1111-11111-11-1-1-1-111-11-11-1
χ12111111111111111111-1-11111-1-1-1-1111111-11-1-11111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1111-1-1-111-1-11-11-11
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1111-1-11-1-1111111111-1-1-11-1111-11-1-1-1-1-1-11-1-111
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-11-1111-1-1-11111-111-1-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1111-111-1-1-1111-1-1-1-1-111-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-11111-1-1-1-11-11111111-1-11-1
χ17222222-2-2222222222200-2-2-2-20000222222000000-2-2000000-200200-2-2-2000000000000002000-200002-200000
χ18222222-2-2222222222200-2-2-2-20000222222000000-2-2000000-200-2002-2-200000000000000-200020000-2200000
χ19222222-2-2222222222200-2-2-2-20000-2-2-2-2-2-2000000-2-2000000200200-222000000000000002000-20000-2200000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-2-2-2000000-2-2000000200-20022200000000000000-2000200002-200000
χ2122222-1222-1-122-1-1-1-1-1222-12-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-12220220-1-122-1-1-1-12-1-12-1-1000-1-100-1-1000000000
χ2222222-1222-1-122-1-1-1-1-1222-12-1-1-1-1-122-1-1-1-1-2-21111-1-122-1-1-1-12-2-20-2-20-1-122-1-1-1-1-211-211000110011000000000
χ2322222-1222-1-122-1-1-1-1-1222-12-1-1-1-1-1-2-2111122-1-1-1-1-1-122-1-1-1-1-2-2-20-2-2011-2-211112-1-12-1-1000110011000000000
χ2422222-1222-1-122-1-1-1-1-1222-12-1-1-1-1-1-2-21111-2-21111-1-122-1-1-1-1-222022011-2-21111-211-211000-1-100-1-1000000000
χ2522222-1222-1-122-1-1-1-1-1-2-22-12-1111122-1-1-1-12-2-1-111-1-1-2-211112-2-20220-1-1-2-211112-1-1-2110001100-1-1000000000
χ2622222-1222-1-122-1-1-1-1-1-2-22-12-1111122-1-1-1-1-2211-1-1-1-1-2-211112220-2-20-1-1-2-21111-2112-1-1000-1-10011000000000
χ2722222-1222-1-122-1-1-1-1-1-2-22-12-11111-2-211112-2-1-111-1-1-2-21111-2220-2-201122-1-1-1-12-1-1-211000-1-10011000000000
χ2822222-1222-1-122-1-1-1-1-1-2-22-12-11111-2-21111-2211-1-1-1-1-2-21111-2-2-202201122-1-1-1-1-2112-1-10001100-1-1000000000
χ292222-1222-122-1-12-1-1-1-122-12-122222000000222222-1-1-1-1-1-1-1-1000200200000000-1-1-1-1-1-122-1002-100-1-100-1-1000
χ302222-1222-122-1-12-1-1-1-122-12-122222000000222222-1-1-1-1-1-1-1-1000-200-200000000-1-1-1-1-1-1-2-2100-2100110011000
χ312222-1222-122-1-12-1-1-1-122-12-122222000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1000200200000000111111-2-2-1002-100-1-10011000
χ322222-1222-122-1-12-1-1-1-122-12-122222000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1000-200-20000000011111122100-21001100-1-1000
χ332222-1222-122-1-12-1-1-1-1-2-2-12-12-2-2-2-20000002-222-2-2-1-1111111000200200000000-1-1-11112-2-100-2-1001100-11000
χ342222-1222-122-1-12-1-1-1-1-2-2-12-12-2-2-2-20000002-222-2-2-1-1111111000-200-200000000-1-1-1111-221002100-1-1001-1000
χ352222-1222-122-1-12-1-1-1-1-2-2-12-12-2-2-2-2000000-22-2-222-1-1111111000200200000000111-1-1-1-22-100-2-10011001-1000
χ362222-1222-122-1-12-1-1-1-1-2-2-12-12-2-2-2-2000000-22-2-222-1-1111111000-200-200000000111-1-1-12-21002100-1-100-11000
χ372-2-22222-2-2-2-22-222-2-222-2-2-22222-2-2000000000000-222-222-2-202-202-20000000000000000002-2002-2000000000
χ382-2-22222-2-2-2-22-222-2-222-2-2-22222-2-2000000000000-222-222-2-20-220-22000000000000000000-2200-22000000000
χ392-2-22222-2-2-2-22-222-2-22-22-2-222-2-222000000000000-22-22-2-22202-20-220000000000000000002-200-22000000000
χ402-2-22222-2-2-2-22-222-2-22-22-2-222-2-222000000000000-22-22-2-2220-2202-2000000000000000000-22002-2000000000
χ412-2-222-12-2-2112-2-1-111-12-2-212-1-1-11100−i3−i3i3i300−i3i3−i3i31-12-2-1-11102-202-20−i3i300−i3−i3i3i30−i3i30−i3i3000-1100-11000000000
χ422-2-222-12-2-2112-2-1-111-12-2-212-1-1-11100−i3−i3i3i300i3−i3i3−i31-12-2-1-1110-220-220−i3i300−i3−i3i3i30i3−i30i3−i30001-1001-1000000000
χ432-2-222-12-2-2112-2-1-111-12-2-212-1-1-11100i3i3−i3−i300−i3i3−i3i31-12-2-1-1110-220-220i3−i300i3i3−i3−i30−i3i30−i3i30001-1001-1000000000
χ442-2-222-12-2-2112-2-1-111-12-2-212-1-1-11100i3i3−i3−i300i3−i3i3−i31-12-2-1-11102-202-20i3−i300i3i3−i3−i30i3−i30i3−i3000-1100-11000000000
χ452-2-222-12-2-2112-2-1-111-1-22-212-111-1-100−i3−i3i3i300−i3i3i3−i31-1-2211-1-10-2202-20−i3i300i3i3−i3−i30−i3i30i3−i30001-100-11000000000
χ462-2-222-12-2-2112-2-1-111-1-22-212-111-1-100−i3−i3i3i300i3−i3−i3i31-1-2211-1-102-20-220−i3i300i3i3−i3−i30i3−i30−i3i3000-11001-1000000000
χ472-2-222-12-2-2112-2-1-111-1-22-212-111-1-100i3i3−i3−i300−i3i3i3−i31-1-2211-1-102-20-220i3−i300−i3−i3i3i30−i3i30i3−i3000-11001-1000000000
χ482-2-222-12-2-2112-2-1-111-1-22-212-111-1-100i3i3−i3−i300i3−i3−i3i31-1-2211-1-10-2202-20i3−i300−i3−i3i3i30i3−i30−i3i30001-100-11000000000
χ4944444-2-4-44-2-244-2-2-2-2-200-42-42000044-2-2-2-200000022000000-400000022000000000000000000000000000000
χ5044444-2-4-44-2-244-2-2-2-2-200-42-420000-4-42222000000220000004000000-2-2000000000000000000000000000000
χ514444-24-4-4-244-2-24-2-2-2-2002-42-4000000000000000022000000000400-40000000000000000-2000200000000000
χ524444-24-4-4-244-2-24-2-2-2-2002-42-4000000000000000022000000000-400400000000000000002000-200000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000044-2-2-2-211-2-21111000000000000000-211-211000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000-4-4222211-2-211110000000000000002-1-12-1-1000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-4-2-2221122-1-1-1-1000000000000000-2112-1-1000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-4422-2-21122-1-1-1-10000000000000002-1-1-211000000000000000000
χ5744-4-4440044-4-4-4-444-4-400000000000000000000000000000000000000022−2222−2222−22000000000000000000000000
χ5844-4-4440044-4-4-4-444-4-4000000000000000000000000000000000000000−2222−2222−2222000000000000000000000000
χ5944-4-44-2004-22-4-42-2-2220000006−66−60023−2323−2300000000006−66−600000000022−22−22−22000000000000000000000000
χ6044-4-44-2004-22-4-42-2-2220000006−66−600−2323−232300000000006−66−6000000000−22222−22−2000000000000000000000000
χ6144-4-44-2004-22-4-42-2-222000000−66−660023−2323−230000000000−66−66000000000−22222−22−2000000000000000000000000
χ6244-4-44-2004-22-4-42-2-222000000−66−6600−2323−23230000000000−66−6600000000022−22−22−22000000000000000000000000
χ634-44-44400-4-44-44-44-44-400000000004i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000
χ644-44-44400-4-44-44-44-44-40000000000−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000
χ654-44-44-200-42-2-442-22-220000006−6−664i−4i−2i2i2i−2i00000000006−6−6600000000000−i6i6i6−i6000000000000000000000000
χ664-44-44-200-42-2-442-22-220000006−6−66−4i4i2i−2i−2i2i00000000006−6−6600000000000i6−i6−i6i6000000000000000000000000
χ674-44-44-200-42-2-442-22-22000000−666−64i−4i−2i2i2i−2i0000000000−666−600000000000i6−i6−i6i6000000000000000000000000
χ684-44-44-200-42-2-442-22-22000000−666−6−4i4i2i−2i−2i2i0000000000−666−600000000000−i6i6i6−i6000000000000000000000000
χ694-4-4444-44-4-4-44-444-4-440044-4-400000000000000004-4000000000000000000000000000000000000000000000
χ704-4-444-2-44-4224-4-2-222-2004-2-42000000−2i3−2i32i32i3000000-2200000000000002i3−2i3000000000000000000000000000000
χ714-4-444-2-44-4224-4-2-222-2004-2-420000002i32i3−2i3−2i3000000-220000000000000−2i32i3000000000000000000000000000000
χ724-4-44-244-42-4-4-224-222-24-42-4-2444-4-40000000000002-2-22-2-222000000000000000000000000000000000000000
χ734-4-44-244-42-4-4-224-222-2-442-4-24-4-4440000000000002-22-222-2-2000000000000000000000000000000000000000
χ744-4-44-24-442-4-4-224-222-200-242-40000000000000000-2200000000000000000000000000000000000023−230000000
χ754-4-44-24-442-4-4-224-222-200-242-40000000000000000-22000000000000000000000000000000000000−23230000000
χ764-4-44-2-24-4222-22-21-1-114-422-2-2-2-22200000000−2i32i3−2i32i3-11-2211-1-10000000000000000i3−i30i3−i3000000000000000000
χ774-4-44-2-24-4222-22-21-1-114-422-2-2-2-222000000002i3−2i32i3−2i3-11-2211-1-10000000000000000−i3i30−i3i3000000000000000000
χ784-4-44-2-24-4222-22-21-1-11-4422-2-222-2-200000000−2i32i32i3−2i3-112-2-1-1110000000000000000i3−i30−i3i3000000000000000000
χ794-4-44-2-24-4222-22-21-1-11-4422-2-222-2-2000000002i3−2i3−2i32i3-112-2-1-1110000000000000000−i3i30i3−i3000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000
χ8188-8-8-4800-48-844-8-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-4444422-2-200000026−2626−260000000000000000−66−66000000000000000000000000000000000000000
χ8388-8-8-4-400-4-4444422-2-2000000−2626−262600000000000000006−66−6000000000000000000000000000000000000000
χ848-88-8-48004-884-4-8-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-44-442-22-200000026−26−26260000000000000000−666−6000000000000000000000000000000000000000
χ868-88-8-4-40044-44-442-22-2000000−262626−2600000000000000006−6−66000000000000000000000000000000000000000
χ878-8-88-4-4-88444-44-42-2-2200-4-44400000000000000002-2000000000000000000000000000000000000000000000

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