Finite Group Databasebeta

← Group #11884644

Character table — Group #11884644

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444466666688888888888888121212121212121212121212121212161616161616242424242424242424242436364848727272
order1222334466666636668812121212242424244412121212246612121212242424242424222444466882424242466612121244668121212122424241212448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-111-111111111111111-1-111-1-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11
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
χ51111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-11-1-11-1-1-1-1-1-1-1-111111111-1-1111-1-111-1-111-1-1-1
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
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-11
χ9111111111111111111-1-11111-1-1-1-11111111-111-1-111-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1111-1-1-11-1-1-1-11111-1-1111-11-1-1
χ10111111111111111111-1-11111-1-1-1-11111111-111-1-111-1-1-1-1-1-11-1-1-111-111-1-1-1-1-1-1111-1-1-1-11-1-11-1-11111-1-1-11-111
χ11111111111111111111-1-11111-1-1-1-1111111-11-1-11111-1-1-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-1111-1111-111-1-1-1-111-11-11-1
χ12111111111111111111-1-11111-1-1-1-1111111-11-1-11111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-11-11-11
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1111-1-11-1-1111111111-1-1-11-111-111-1-1-1-1-1-11-1-111
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-11111-111-1-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1111-11-1-1-11111-1-1-1-1-111-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-11111-1-1-11-1-11111111-1-11-1
χ17222222-2-2222222222200-2-2-2-20000222222000000-2-2000000-200200-2-2-2000000000000000002-200002-200000
χ18222222-2-2222222222200-2-2-2-20000222222000000-2-2000000-200-2002-2-200000000000000000-220000-2200000
χ19222222-2-2222222222200-2-2-2-20000-2-2-2-2-2-2000000-2-2000000200200-222000000000000000002-20000-2200000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-2-2-2000000-2-2000000200-20022200000000000000000-2200002-200000
χ2122222-122-1-122-12-1-1-1-122-122-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-12220220-1-122-1-1-1-12-1-12-1-100-1-1000-1-1000000000
χ2222222-122-1-122-12-1-1-1-122-122-1-1-1-1-122-1-1-1-1-2-21111-1-122-1-1-1-12-2-20-2-20-1-122-1-1-1-1-211-211001100011000000000
χ2322222-122-1-122-12-1-1-1-122-122-1-1-1-1-1-2-2111122-1-1-1-1-1-122-1-1-1-1-2-2-20-2-2011-2-211112-1-12-1-1001100011000000000
χ2422222-122-1-122-12-1-1-1-122-122-1-1-1-1-1-2-21111-2-21111-1-122-1-1-1-1-222022011-2-21111-211-21100-1-1000-1-1000000000
χ2522222-122-1-122-12-1-1-1-1-2-2-122-1111122-1-1-1-12-2-1-111-1-1-2-211112-2-20220-1-1-2-211112-1-1-2110011000-1-1000000000
χ2622222-122-1-122-12-1-1-1-1-2-2-122-1111122-1-1-1-1-2211-1-1-1-1-2-211112220-2-20-1-1-2-21111-2112-1-100-1-100011000000000
χ2722222-122-1-122-12-1-1-1-1-2-2-122-11111-2-211112-2-1-111-1-1-2-21111-2220-2-201122-1-1-1-12-1-1-21100-1-100011000000000
χ2822222-122-1-122-12-1-1-1-1-2-2-122-11111-2-21111-2211-1-1-1-1-2-21111-2-2-202201122-1-1-1-1-2112-1-10011000-1-1000000000
χ292222-122222-1-12-1-1-1-1-1222-1-122222000000222222-1-1-1-1-1-1-1-1000200200000000-1-1-1-1-1-122002-1-100-1-100-1-1000
χ302222-122222-1-12-1-1-1-1-1222-1-122222000000222222-1-1-1-1-1-1-1-1000-200-200000000-1-1-1-1-1-1-2-200-21100110011000
χ312222-122222-1-12-1-1-1-1-1222-1-122222000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1000200200000000111111-2-2002-1-100-1-10011000
χ322222-122222-1-12-1-1-1-1-1222-1-122222000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1000-200-2000000001111112200-211001100-1-1000
χ332222-122222-1-12-1-1-1-1-1-2-22-1-12-2-2-2-20000002-222-2-2-1-1111111000200200000000-1-1-11112-200-2-1-1001100-11000
χ342222-122222-1-12-1-1-1-1-1-2-22-1-12-2-2-2-20000002-222-2-2-1-1111111000-200-200000000-1-1-1111-220021100-1-1001-1000
χ352222-122222-1-12-1-1-1-1-1-2-22-1-12-2-2-2-2000000-22-2-222-1-1111111000200200000000111-1-1-1-2200-2-1-10011001-1000
χ362222-122222-1-12-1-1-1-1-1-2-22-1-12-2-2-2-2000000-22-2-222-1-1111111000-200-200000000111-1-1-12-20021100-1-100-11000
χ372-22-222-22-2-2-2-2222-2-222-2-22-2222-2-2000000000000-222-222-2-202-202-2000000000000000002-20002-2000000000
χ382-22-222-22-2-2-2-2222-2-222-2-22-2222-2-2000000000000-222-222-2-20-220-2200000000000000000-22000-22000000000
χ392-22-222-22-2-2-2-2222-2-22-22-22-22-2-222000000000000-22-22-2-22202-20-22000000000000000002-2000-22000000000
χ402-22-222-22-2-2-2-2222-2-22-22-22-22-2-222000000000000-22-22-2-2220-2202-200000000000000000-220002-2000000000
χ412-22-22-1-2211-2-2-12-111-12-212-2-1-1-11100−i3−i3i3i300−i3i3−i3i31-12-2-1-11102-202-20−i3i300−i3−i3i3i30−i3i30−i3i300-11000-11000000000
χ422-22-22-1-2211-2-2-12-111-12-212-2-1-1-11100−i3−i3i3i300i3−i3i3−i31-12-2-1-1110-220-220−i3i300−i3−i3i3i30i3−i30i3−i3001-10001-1000000000
χ432-22-22-1-2211-2-2-12-111-12-212-2-1-1-11100i3i3−i3−i300−i3i3−i3i31-12-2-1-1110-220-220i3−i300i3i3−i3−i30−i3i30−i3i3001-10001-1000000000
χ442-22-22-1-2211-2-2-12-111-12-212-2-1-1-11100i3i3−i3−i300i3−i3i3−i31-12-2-1-11102-202-20i3−i300i3i3−i3−i30i3−i30i3−i300-11000-11000000000
χ452-22-22-1-2211-2-2-12-111-1-2212-2-111-1-100−i3−i3i3i300−i3i3i3−i31-1-2211-1-10-2202-20−i3i300i3i3−i3−i30−i3i30i3−i3001-1000-11000000000
χ462-22-22-1-2211-2-2-12-111-1-2212-2-111-1-100−i3−i3i3i300i3−i3−i3i31-1-2211-1-102-20-220−i3i300i3i3−i3−i30i3−i30−i3i300-110001-1000000000
χ472-22-22-1-2211-2-2-12-111-1-2212-2-111-1-100i3i3−i3−i300−i3i3i3−i31-1-2211-1-102-20-220i3−i300−i3−i3i3i30−i3i30i3−i300-110001-1000000000
χ482-22-22-1-2211-2-2-12-111-1-2212-2-111-1-100i3i3−i3−i300i3−i3−i3i31-1-2211-1-10-2202-20i3−i300−i3−i3i3i30i3−i30−i3i3001-1000-11000000000
χ4944444-2-4-4-2-244-24-2-2-2-2002-4-42000044-2-2-2-200000022000000-400000022000000000000000000000000000000
χ5044444-2-4-4-2-244-24-2-2-2-2002-4-420000-4-42222000000220000004000000-2-2000000000000000000000000000000
χ514444-24-4-444-2-24-2-2-2-2-200-422-4000000000000000022000000000400-40000000000000000000-2200000000000
χ524444-24-4-444-2-24-2-2-2-2-200-422-4000000000000000022000000000-400400000000000000000002-200000000000
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
χ5744-4-444004-44-4-4-444-4-400000000000000000000000000000000000000022−2222−2222−22000000000000000000000000
χ5844-4-444004-44-4-4-444-4-4000000000000000000000000000000000000000−2222−2222−2222000000000000000000000000
χ5944-4-44-200-224-42-4-2-2220000006−66−60023−2323−2300000000006−66−600000000022−22−22−22000000000000000000000000
χ6044-4-44-200-224-42-4-2-2220000006−66−600−2323−232300000000006−66−6000000000−22222−22−2000000000000000000000000
χ6144-4-44-200-224-42-4-2-222000000−66−660023−2323−230000000000−66−66000000000−22222−22−2000000000000000000000000
χ6244-4-44-200-224-42-4-2-222000000−66−6600−2323−23230000000000−66−6600000000022−22−22−22000000000000000000000000
χ634-44-4444-4-4-4-4-4444-4-44004-44-400000000000000004-4000000000000000000000000000000000000000000000
χ644-44-44-24-422-4-4-24-222-200-2-442000000−2i3−2i32i32i3000000-2200000000000002i3−2i3000000000000000000000000000000
χ654-44-44-24-422-4-4-24-222-200-2-4420000002i32i3−2i3−2i3000000-220000000000000−2i32i3000000000000000000000000000000
χ664-44-4-244-4-4-4224-2-222-20042-2-40000000000000000-22000000000000000000000000000000000000−2i32i30000000
χ674-44-4-244-4-4-4224-2-222-20042-2-40000000000000000-220000000000000000000000000000000000002i3−2i30000000
χ684-44-4-24-44-4-4224-2-222-24-4-4-22444-4-40000000000002-2-22-2-222000000000000000000000000000000000000000
χ694-44-4-24-44-4-4224-2-222-2-44-4-224-4-4440000000000002-22-222-2-2000000000000000000000000000000000000000
χ704-44-4-2-2-442222-2-21-1-114-42-22-2-2-22200000000−2i32i3−2i32i3-11-2211-1-10000000000000000i3−i30i3−i3000000000000000000
χ714-44-4-2-2-442222-2-21-1-114-42-22-2-2-222000000002i3−2i32i3−2i3-11-2211-1-10000000000000000−i3i30−i3i3000000000000000000
χ724-44-4-2-2-442222-2-21-1-11-442-22-222-2-200000000−2i32i32i3−2i3-112-2-1-1110000000000000000i3−i30−i3i3000000000000000000
χ734-44-4-2-2-442222-2-21-1-11-442-22-222-2-2000000002i3−2i3−2i32i3-112-2-1-1110000000000000000−i3i30i3−i3000000000000000000
χ744-4-444400-44-44-4-44-44-400000000004i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000
χ754-4-444400-44-44-4-44-44-40000000000−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000
χ764-4-444-2002-2-442-4-22-220000006−6−664i−4i−2i2i2i−2i00000000006−6−6600000000000−i6i6i6−i6000000000000000000000000
χ774-4-444-2002-2-442-4-22-220000006−6−66−4i4i2i−2i−2i2i00000000006−6−6600000000000i6−i6−i6i6000000000000000000000000
χ784-4-444-2002-2-442-4-22-22000000−666−64i−4i−2i2i2i−2i0000000000−666−600000000000i6−i6−i6i6000000000000000000000000
χ794-4-444-2002-2-442-4-22-22000000−666−6−4i4i2i−2i−2i2i0000000000−666−600000000000−i6i6i6−i6000000000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000
χ8188-8-8-48008-8-44-84-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44-444422-2-200000026−2626−260000000000000000−66−66000000000000000000000000000000000000000
χ8388-8-8-4-400-44-444422-2-2000000−2626−262600000000000000006−66−6000000000000000000000000000000000000000
χ848-88-8-4-48-84444-4-42-2-2200-44-4400000000000000002-2000000000000000000000000000000000000000000000
χ858-8-88-4800-884-4-84-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-44-4442-22-200000026−26−26260000000000000000−666−6000000000000000000000000000000000000000
χ878-8-88-4-4004-44-4442-22-2000000−262626−2600000000000000006−6−66000000000000000000000000000000000000000

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