Finite Group Databasebeta

← Group #11897641

Character table — Group #11897641

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444444444488888888888888888888888121212121818242424242424242424242424242436363636364848484872
order12223344666666344666881212121212121212121212128121212121212242424242424242424242424242424242244444444446612121212121244488121212128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-1-1-1-111-1
χ3111111111111111111111111111111111111111111111111111111111-1-111-1-11-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11
χ511111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-11-111111111-1-1-111-1-1-1-11
χ611111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1111-1-1-1-111111-1-111-1-1-1
χ711111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-11111-1-1111-1-1-1-111-1
χ811111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-1-1-1-1-1-1-1-11111111
χ9111111111111111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-11-1-1-11111-1-1-1-1-11-1111-11-1-1
χ10111111111111111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11111-1-111-1-11-11-1-1-111-11
χ11111111111111111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-1-1-1-111-1-1111-11-1-11-1-111
χ12111111111111111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1111-1-1-1-11111-11-111-11-11-1
χ13111111111111111-1-1111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-111111-1-1-1-11-1111-11-11-1
χ14111111111111111-1-1111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1-111-111-1-111-1-1-11-1-1-11-1-111
χ15111111111111111-1-1111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-111-1-11-1-111-1-111-11-1-1-1-111-11
χ16111111111111111-1-1111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-11-1-1-1-1-111111-11111-11-1-1
χ17222222-2-222222222-222200-2-222-2-2-2-2-2-2-2-202-222-2-20000000000000000000022000000000000002-2-20000000
χ18222222-2-222222222-222200-2-222-2-2-2-2-2-2-2-202-222-2-200000000000000000000-2-200000000000000-2220000000
χ19222222-2-22222222-2222200-2-2-2-222-2-2-2-2-2-20-22-2-222000000000000000000002200000000000000-2-220000000
χ20222222-2-22222222-2222200-2-2-2-222-2-2-2-2-2-20-22-2-22200000000000000000000-2-20000000000000022-20000000
χ2122222-122-1-1222-1-122-1-1-122-1222-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000022200-1-10000-1-10000000-1-10
χ2222222-122-1-1222-1-122-1-1-122-1222-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-200000-2-2-200110000110000000110
χ2322222-122-1-1222-1-122-1-1-1-2-2-1222-1-1-1-1-12-1-1-2-12-1-1-1-1-2-2111111-2-211111122000002-2-200-1-10000-1-10000000110
χ2422222-122-1-1222-1-122-1-1-1-2-2-1222-1-1-1-1-12-1-1-2-12-1-1-1-1-2-2111111-2-2111111-2-200000-22200110000110000000-1-10
χ2522222-122-1-1222-1-1-2-2-1-1-122-12-2-211-1-1-12-1-1-21-2111122-1-1-1-1-1-1-2-21111112200000-22-200-1-10000110000000-110
χ2622222-122-1-1222-1-1-2-2-1-1-122-12-2-211-1-1-12-1-1-21-2111122-1-1-1-1-1-1-2-2111111-2-2000002-2200110000-1-100000001-10
χ2722222-122-1-1222-1-1-2-2-1-1-1-2-2-12-2-211-1-1-12-1-121-21111-2-211111122-1-1-1-1-1-12200000-2-2200-1-100001100000001-10
χ2822222-122-1-1222-1-1-2-2-1-1-1-2-2-12-2-211-1-1-12-1-121-21111-2-211111122-1-1-1-1-1-1-2-20000022-200110000-1-10000000-110
χ292222-122222-1-1-12-122-1-1-1222-1-1-122-1-12-1-1-122-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100220020002200-1-1-1-10000000-1-1000
χ302222-122222-1-1-12-122-1-1-1222-1-1-122-1-12-1-1-122-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-200-2000-2-2001111000000011000
χ312222-122222-1-1-12-122-1-1-1-2-22-1-1-122-1-12-1-1-1-22-1-1-1-1-111-2-2111111-2-21111002200-20002-200-1-1-1-1000000011000
χ322222-122222-1-1-12-122-1-1-1-2-22-1-1-122-1-12-1-1-1-22-1-1-1-1-111-2-2111111-2-2111100-2-2002000-220011110000000-1-1000
χ332222-122222-1-1-12-1-2-2-1-1-1222-111-2-2-1-12-1-1-1-2-211111-1-122-1-1-1-111-2-211110022002000-2-200-1-1110000000-11000
χ342222-122222-1-1-12-1-2-2-1-1-1222-111-2-2-1-12-1-1-1-2-211111-1-122-1-1-1-111-2-2111100-2-200-2000220011-1-100000001-1000
χ352222-122222-1-1-12-1-2-2-1-1-1-2-22-111-2-2-1-12-1-1-12-21111111-2-21111-1-122-1-1-1-1002200-2000-2200-1-11100000001-1000
χ362222-122222-1-1-12-1-2-2-1-1-1-2-22-111-2-2-1-12-1-1-12-21111111-2-21111-1-122-1-1-1-100-2-20020002-20011-1-10000000-11000
χ3722-2-2222-22-22-2-2-22002-2-20022000022-2-2-2-2000000000000000000000002-22-2000000002-22-200000002-200000
χ3822-2-2222-22-22-2-2-22002-2-20022000022-2-2-2-2000000000000000000000002-2-22000000002-2-220000000-2200000
χ3922-2-2222-22-22-2-2-22002-2-20022000022-2-2-2-200000000000000000000000-222-200000000-222-20000000-2200000
χ4022-2-2222-22-22-2-2-22002-2-20022000022-2-2-2-200000000000000000000000-22-2200000000-22-2200000002-200000
χ4144444-2-4-4-2-2444-2-24-4-2-2-2002-44422222-4220-2-4-2-2220000000000000000000000000000000000000000000000
χ4244444-2-4-4-2-2444-2-2-44-2-2-2002-4-4-4-2-2222-42202422-2-20000000000000000000000000000000000000000000000
χ434444-24-4-444-2-2-24-24-4-2-2-200-42-2-2-4-422-4222042-2-2220000000000000000000000000000000000000000000000
χ444444-24-4-444-2-2-24-2-44-2-2-200-42224422-42220-4-222-2-20000000000000000000000000000000000000000000000
χ454444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-211-2-2114-2-21111-2-2-2-21111-2-2-2-21111000000000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-2-211-2-211-4-2-211112222-1-1-1-12222-1-1-1-1000000000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-411144-2-2222211-2-211-422-1-1-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2222211-2-211422-1-1-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000
χ494444-2-2-4-4-2-2-2-2-2-214-41110022-2-222-1-122-1-10-2211-1-100003i3i−3i−3i00003i3i−3i−3i000000000000000000000000000000
χ504444-2-2-4-4-2-2-2-2-2-214-41110022-2-222-1-122-1-10-2211-1-10000−3i−3i3i3i0000−3i−3i3i3i000000000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-21-44111002222-2-2-1-122-1-102-2-1-11100003i3i−3i−3i0000−3i−3i3i3i000000000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-21-44111002222-2-2-1-122-1-102-2-1-1110000−3i−3i3i3i00003i3i−3i−3i000000000000000000000000000000
χ5344-4-444-444-44-4-4-44004-4-400-4-40000-4-4444400000000000000000000000000000000000000000000000000000
χ5444-4-44-24-4-224-4-42-200-22200-240000-2-22-422000000000000000000000004-40000000000-220000000000000000
χ5544-4-44-24-4-224-4-42-200-22200-240000-2-22-42200000000000000000000000-4400000000002-20000000000000000
χ5644-4-44-2-44-224-4-42-200-222002-4000022-24-2-20000000000000000000000000000000000000000023−230000000000
χ5744-4-44-2-44-224-4-42-200-222002-4000022-24-2-200000000000000000000000000000000000000000−23230000000000
χ5844-4-4-244-44-4-222-4-200-222004-20000-2-2-422200000000000000000000000004-40000000000-2200000000000000
χ5944-4-4-244-44-4-222-4-200-222004-20000-2-2-42220000000000000000000000000-4400000000002-200000000000000
χ6044-4-4-24-444-4-222-4-200-22200-420000224-2-2-200000000000000000000000000000000000000023−23000000000000
χ6144-4-4-24-444-4-222-4-200-22200-420000224-2-2-2000000000000000000000000000000000000000−2323000000000000
χ624-44-44400-44-44-4-4400-44-4000000000000000000000000000000000000000004-4000000000000000000000000
χ634-44-44400-44-44-4-4400-44-400000000000000000000000000000000000000000-44000000000000000000000000
χ644-4-444400-4-4-4-444400-4-4422−22000000000000000000022−2222−2222−2222−2200000000000000000000000000000000000000
χ654-4-444400-4-4-4-444400-4-44−22220000000000000000000−2222−2222−2222−222200000000000000000000000000000000000000
χ664-4-444-20022-4-44-2-20022-222−220000−2i32i300000000000−2i32i322−22−22−22−2200i6−i6i6−i6i6−i6000000000000000000000000000000
χ674-4-444-20022-4-44-2-20022-222−2200002i3−2i3000000000002i3−2i322−22−22−22−2200−i6i6−i6i6−i6i6000000000000000000000000000000
χ684-4-444-20022-4-44-2-20022-2−22220000−2i32i300000000000−2i32i3−22222−22−22−200−i6i6−i6i6−i6i6000000000000000000000000000000
χ694-4-444-20022-4-44-2-20022-2−222200002i3−2i3000000000002i3−2i3−22222−22−22−200i6−i6i6−i6i6−i6000000000000000000000000000000
χ704-4-44-2400-4-422-24-20022-222−220023−230000000000023−2300−2222−22−22−226−6006−6−66000000000000000000000000000000
χ714-4-44-2400-4-422-24-20022-222−2200−232300000000000−232300−2222−22−22−22−6600−666−6000000000000000000000000000000
χ724-4-44-2400-4-422-24-20022-2−22220023−230000000000023−23002−2−22222−22−2−6600−666−6000000000000000000000000000000
χ734-4-44-2400-4-422-24-20022-2−222200−232300000000000−2323002−2−22222−22−26−6006−6−66000000000000000000000000000000
χ744-4-44-2-2002222-2-2100-1-1122−220023−23−2i32i33i−3i003i−3i000−33i3−i3−22−22−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ236−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000
χ754-4-44-2-2002222-2-2100-1-1122−220023−232i3−2i3−3i3i00−3i3i000−33−i3i3−22−22ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ236−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000
χ764-4-44-2-2002222-2-2100-1-1122−2200−2323−2i32i3−3i3i00−3i3i0003−3i3−i3−22−22ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000
χ774-4-44-2-2002222-2-2100-1-1122−2200−23232i3−2i33i−3i003i−3i0003−3−i3i3−22−22−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000
χ784-4-44-2-2002222-2-2100-1-11−22220023−23−2i32i33i−3i003i−3i000−33i3−i32−22−22ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000
χ794-4-44-2-2002222-2-2100-1-11−22220023−232i3−2i3−3i3i00−3i3i000−33−i3i32−22−2−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000
χ804-4-44-2-2002222-2-2100-1-11−222200−2323−2i32i3−3i3i00−3i3i0003−3i3−i32−22−2−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ236−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000
χ814-4-44-2-2002222-2-2100-1-11−222200−23232i3−2i33i−3i003i−3i0003−3−i3i32−22−22ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ236−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000
χ8288-8-8-4-48-8-44-44442002-2-200-4-400002244-2-200000000000000000000000000000000000000000000000000000
χ8388-8-8-4-4-88-44-44442002-2-200440000-2-2-4-42200000000000000000000000000000000000000000000000000000
χ848-88-88-4004-4-88-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4800-884-44-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-4004-44-444200-22-2000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000
χ878-88-8-4-4004-44-444200-22-200000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.