Finite Group Databasebeta

← Group #11865772

Character table — Group #11865772

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order12223344666666444422366688121212122424242422441212121226666661212242424242424444446688881212242424246666644241212121212121224244448864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111111111111111111-1-1-1111111-1-1-1-1111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-111-1-111-1-111111-1-1-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-111-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-1-1-11-1-1-1-111-1-111-1-1-11111
χ5111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-11-1-1111111111111-1-1-1-1-111-1-11-1-1-1-1-1-1111-1-111-1-1
χ6111111111111111111-1-11111111111111111-1-11111-1-1-1-1-1-1-11111111111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-111-1-111
χ7111111111111111111-1-11111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-11-1-11111111-1-1-1-111-1-11-1-1-1-111
χ8111111111111111111-1-11111-1-11111-1-1-1-111-1-111111-1-111-1-111-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-11-1-111-1-1-11-111-1-11111-11111-1-1
χ911111111111111-1-1-1-11111111111111111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-11-1111-1-1-1-111-1-1-1-1-11-1
χ1011111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111111-11
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-1111-1-1-1-111-1-1111111-111-1-1-1-1-11111-1-111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-11111-1-1-1-1-11111111-1-11-1
χ1311111111111111-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-111-1-1-11
χ1411111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-11-1-1111-1
χ1511111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-111-1-11-11-1-111-1-1-1-1-111111-1
χ1611111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-111-111-1-11111-1-111111-1-11111-1-1-11111-1-1111-1-1-1-1-11
χ17222222-2-2222222222200222200-2-2-2-20000-2-22222220000000-2-200000000-200-2-20000220000000002200-200000000-2000000
χ18222222-2-2222222222200222200-2-2-2-20000-2-2-2-222220000000-2-200000000200-2-20000-2-2000000000-2-2002000000002000000
χ19222222-2-2222222-2-2-2-200222200-2-2-2-200002222-2-2-2-20000000-2-200000000-20022000022000000000-2-200-2000000002000000
χ20222222-2-2222222-2-2-2-200222200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000200220000-2-20000000002200200000000-2000000
χ2122222-12222-1-1-12000022-1-1-1-122-12-1222220022000022222-1-1-1-1-1-1-1-1-1-122200000022-1-10000-1-1-1-1-10020-1-1-10000-1-100000-10
χ2222222-12222-1-1-12000022-1-1-1-122-12-12222200-2-2000022222-1-1-1-1-1-1-1-1-1-1-2-2-2000000-2-2110000-1-1-1-1-100-201110000110000010
χ2322222-12222-1-1-12000022-1-1-1-1-2-2-12-12-2-2-2-200220000-222-2-2-1-1-1-1111111222000000-2-2-1-100001-1-11100-20-1-1-10000110000010
χ2422222-12222-1-1-12000022-1-1-1-1-2-2-12-12-2-2-2-200-2-20000-222-2-2-1-1-1-1111111-2-2-2000000221100001-1-11100201110000-1-100000-10
χ2522222-12222-1-1-120000-2-2-1-1-1-122-12-12222200220000-2-2-2-2-211-1-1-1-1-1-1-1-1-2-2200000022-1-100001111100-20-1110000-1-10000010
χ2622222-12222-1-1-120000-2-2-1-1-1-122-12-12222200-2-20000-2-2-2-2-211-1-1-1-1-1-1-1-122-2000000-2-21100001111100201-1-100001100000-10
χ2722222-12222-1-1-120000-2-2-1-1-1-1-2-2-12-12-2-2-2-2002200002-2-22211-1-1111111-2-22000000-2-2-1-10000-111-1-10020-11100001100000-10
χ2822222-12222-1-1-120000-2-2-1-1-1-1-2-2-12-12-2-2-2-200-2-200002-2-22211-1-111111122-200000022110000-111-1-100-201-1-10000-1-10000010
χ292222-1222-1-1222-1222222-1-1-1-1222-12-1-1-1-1-12200-1-1-1-12-1-1-1-122-1-122-1-1-1-100022-1-1220000-1-1-1-12-1-1-1-10002000-1-1-1-1000000000
χ302222-1222-1-1222-1222222-1-1-1-1-2-22-12-111112200-1-1-1-1-2-1-11122-1-1-2-2111100022-1-1-2-200001111-2-1-111000-2000-1-111000000000
χ312222-1222-1-1222-12222-2-2-1-1-1-1222-12-1-1-1-1-12200-1-1-1-1-21111-2-2-1-122-1-1-1-1000-2-2-1-1220000-1-1-1-1-21111000-20001111000000000
χ322222-1222-1-1222-12222-2-2-1-1-1-1-2-22-12-111112200-1-1-1-1211-1-1-2-2-1-1-2-21111000-2-2-1-1-2-200001111211-1-1000200011-1-1000000000
χ332222-1222-1-1222-1-2-2-2-222-1-1-1-1222-12-1-1-1-1-1-2-20011112-1-1-1-122-1-122-1-1-1-1000-2-211-2-2000011112-1-1-1-1000-20001111000000000
χ342222-1222-1-1222-1-2-2-2-222-1-1-1-1-2-22-12-11111-2-2001111-2-1-11122-1-1-2-21111000-2-211220000-1-1-1-1-2-1-111000200011-1-1000000000
χ352222-1222-1-1222-1-2-2-2-2-2-2-1-1-1-1222-12-1-1-1-1-1-2-2001111-21111-2-2-1-122-1-1-1-10002211-2-200001111-211110002000-1-1-1-1000000000
χ362222-1222-1-1222-1-2-2-2-2-2-2-1-1-1-1-2-22-12-11111-2-2001111211-1-1-2-2-1-1-2-211110002211220000-1-1-1-1211-1-1000-2000-1-111000000000
χ3722-2-222002-2-2-22-22i2i−2i−2i0022-2-22−2000022−2−2002-22i2i−2i−2i0000000002−222−2−20000000−i2i22−22-2−i2−i2i2i2000002i−2i0000000002−2000−i2i200
χ3822-2-222002-2-2-22-22i2i−2i−2i0022-2-22−2000022−2−200-222i2i−2i−2i0000000002−222−2−20000000−i2i2−22-22−i2−i2i2i200000−2i2i000000000−22000i2−i200
χ3922-2-222002-2-2-22-22i2i−2i−2i0022-2-2−220000−2−222002-22i2i−2i−2i000000000−22−2−2220000000i2−i2−222-2i2i2−i2−i2000002i−2i000000000−22000i2−i200
χ4022-2-222002-2-2-22-22i2i−2i−2i0022-2-2−220000−2−22200-222i2i−2i−2i000000000−22−2−2220000000i2−i22−2-22i2i2−i2−i200000−2i2i0000000002−2000−i2i200
χ4122-2-222002-2-2-22-2−2i−2i2i2i0022-2-22−2000022−2−2002-2−2i−2i2i2i0000000002−222−2−20000000i2−i22−22-2i2i2−i2−i200000−2i2i0000000002−2000i2−i200
χ4222-2-222002-2-2-22-2−2i−2i2i2i0022-2-22−2000022−2−200-22−2i−2i2i2i0000000002−222−2−20000000i2−i2−22-22i2i2−i2−i2000002i−2i000000000−22000−i2i200
χ4322-2-222002-2-2-22-2−2i−2i2i2i0022-2-2−220000−2−222002-2−2i−2i2i2i000000000−22−2−2220000000−i2i2−222-2−i2−i2i2i200000−2i2i000000000−22000−i2i200
χ4422-2-222002-2-2-22-2−2i−2i2i2i0022-2-2−220000−2−22200-22−2i−2i2i2i000000000−22−2−2220000000−i2i22−2-22−i2−i2i2i2000002i−2i0000000002−2000i2−i200
χ452-2-22222-2-2-22-2-222-22-2002-2-220022-2-200002-2002-22-200000002-20000002i−2i0002-2000000000000000000002i−2i00000002i−2i0000
χ462-2-22222-2-2-22-2-222-22-2002-2-220022-2-200002-2002-22-200000002-2000000−2i2i0002-200000000000000000000−2i2i0000000−2i2i0000
χ472-2-22222-2-2-22-2-22-22-22002-2-220022-2-20000-2200-22-2200000002-20000002i−2i000-22000000000000000000002i−2i0000000−2i2i0000
χ482-2-22222-2-2-22-2-22-22-22002-2-220022-2-20000-2200-22-2200000002-2000000−2i2i000-2200000000000000000000−2i2i00000002i−2i0000
χ492-2-2222-22-2-22-2-222-22-22-22-2-2200-2-2220000-22002-22-202-2002-2-220000000002-2-22000000000002-20000000002-200000000000
χ502-2-2222-22-2-22-2-222-22-2-222-2-2200-2-2220000-22002-22-20-2200-22-22000000000-22-2200000000000-22000000000-2200000000000
χ512-2-2222-22-2-22-2-22-22-222-22-2-2200-2-22200002-200-22-2202-2002-2-22000000000-222-2000000000002-2000000000-2200000000000
χ522-2-2222-22-2-22-2-22-22-22-222-2-2200-2-22200002-200-22-220-2200-22-220000000002-22-200000000000-220000000002-200000000000
χ532-2-22-12-22112-2-2-12-22-22-2-111-100-212-1−i3i3−i3i3-2200-11-110-11−i3i32-21-100−i3i3−i3i30002-21-1000000−i3i3−i3i30-11−i3i30000000-11−i3i3000000000
χ542-2-22-12-22112-2-2-12-22-22-2-111-100-212-1i3−i3i3−i3-2200-11-110-11i3−i32-21-100i3−i3i3−i30002-21-1000000i3−i3i3−i30-11i3−i30000000-11i3−i3000000000
χ552-2-22-12-22112-2-2-12-22-2-22-111-100-212-1−i3i3−i3i3-2200-11-1101-1i3−i3-221-100−i3i3−i3i3000-221-1000000−i3i3−i3i301-1i3−i300000001-1i3−i3000000000
χ562-2-22-12-22112-2-2-12-22-2-22-111-100-212-1i3−i3i3−i3-2200-11-1101-1−i3i3-221-100i3−i3i3−i3000-221-1000000i3−i3i3−i301-1−i3i300000001-1−i3i3000000000
χ572-2-22-12-22112-2-2-1-22-222-2-111-100-212-1−i3i3−i3i32-2001-11-10-11−i3i32-21-100−i3i3−i3i3000-22-11000000i3−i3i3−i30-11−i3i300000001-1i3−i3000000000
χ582-2-22-12-22112-2-2-1-22-222-2-111-100-212-1i3−i3i3−i32-2001-11-10-11i3−i32-21-100i3−i3i3−i3000-22-11000000−i3i3−i3i30-11i3−i300000001-1−i3i3000000000
χ592-2-22-12-22112-2-2-1-22-22-22-111-100-212-1−i3i3−i3i32-2001-11-101-1i3−i3-221-100−i3i3−i3i30002-2-11000000i3−i3i3−i301-1i3−i30000000-11−i3i3000000000
χ602-2-22-12-22112-2-2-1-22-22-22-111-100-212-1i3−i3i3−i32-2001-11-101-1−i3i3-221-100i3−i3i3−i30002-2-11000000−i3i3−i3i301-1−i3i30000000-11i3−i3000000000
χ6144444-2-4-444-2-2-24000000-2-2-2-2002-42-400000044000000000002200000000-400000000-2-200000000000002000000000000000
χ6244444-2-4-444-2-2-24000000-2-2-2-2002-42-4000000-4-4000000000002200000000400000000220000000000000-2000000000000000
χ634444-24-4-4-2-2444-2444400-2-2-2-200-42-420000-4-400-2-2-2-2000000022000000000002200000000000000000000000000000000000
χ644444-24-4-4-2-2444-2-4-4-4-400-2-2-2-200-42-4200004400222200000002200000000000-2-200000000000000000000000000000000000
χ654444-2-244-2-2-2-2-2-2000044111144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-2111100000000000000000-2111100000000000000000000
χ664444-2-244-2-2-2-2-2-20000441111-4-4-2-2-2-2222200000000-4-2-222-2-21122-1-1-1-100000000000000000211-1-100000000000000000000
χ674444-2-244-2-2-2-2-2-20000-4-4111144-2-2-2-2-2-2-2-200000000-422222211-2-21111000000000000000002-1-1-1-100000000000000000000
χ684444-2-244-2-2-2-2-2-20000-4-41111-4-4-2-2-2-2222200000000422-2-2221122-1-1-1-100000000000000000-2-1-11100000000000000000000
χ6944-4-44-2004-422-2-4000000-2-22222−2200002222−22−22004-40000000000000−22−2−22200000000022−22-2200000000000000000000−220000000
χ7044-4-44-2004-422-2-4000000-2-22222−2200002222−22−2200-440000000000000−22−2−222000000000−22222-2000000000000000000002−20000000
χ7144-4-44-2004-422-2-4000000-2-222−22220000−22−222222004-400000000000002−222−2−2000000000−2222-22000000000000000000002−20000000
χ7244-4-44-2004-422-2-4000000-2-222−22220000−22−22222200-4400000000000002−222−2−200000000022−222-200000000000000000000−220000000
χ7344-4-4-2400-22-4-4424i4i−4i−4i00-2-22222−220000−2−2220000−2i−2i2i2i00000000022−22−2−2220000000−2i22i20000i2i2−i2−i20000000000000000000000000
χ7444-4-4-2400-22-4-4424i4i−4i−4i00-2-222−2222000022−2−20000−2i−2i2i2i000000000−222222−2−200000002i2−2i20000−i2−i2i2i20000000000000000000000000
χ7544-4-4-2400-22-4-442−4i−4i4i4i00-2-22222−220000−2−22200002i2i−2i−2i00000000022−22−2−22200000002i2−2i20000−i2−i2i2i20000000000000000000000000
χ7644-4-4-2400-22-4-442−4i−4i4i4i00-2-222−2222000022−2−200002i2i−2i−2i000000000−222222−2−20000000−2i22i20000i2i2−i2−i20000000000000000000000000
χ774-44-44400-44-44-4-44i−4i−4i4i004-44-4000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ784-44-44400-44-44-4-4−4i4i4i−4i004-44-400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ794-44-4-24002-2-44-424i−4i−4i4i00-22-22000000i6−i6−i6i60000−2i2i2i−2i00000000000i6−i6−i6i600000000000006−6−660000000000000000000000000
χ804-44-4-24002-2-44-424i−4i−4i4i00-22-22000000−i6i6i6−i60000−2i2i2i−2i00000000000−i6i6i6−i60000000000000−666−60000000000000000000000000
χ814-44-4-24002-2-44-42−4i4i4i−4i00-22-22000000i6−i6−i6i600002i−2i−2i2i00000000000i6−i6−i6i60000000000000−666−60000000000000000000000000
χ824-44-4-24002-2-44-42−4i4i4i−4i00-22-22000000−i6i6i6−i600002i−2i−2i2i00000000000−i6i6i6−i600000000000006−6−660000000000000000000000000
χ834-4-444-24-4-4-4-2224000000-222-200-242-40000000000000000000-220000004i−4i0000000000000000000000000−2i2i0000000000000
χ844-4-444-24-4-4-4-2224000000-222-200-242-40000000000000000000-22000000−4i4i00000000000000000000000002i−2i0000000000000
χ854-4-444-2-44-4-4-222400004-4-222-2002-4-2400000000000004-400-222-2000000000000000000000000-220000000000000000000000
χ864-4-444-2-44-4-4-22240000-44-222-2002-4-240000000000000-44002-22-20000000000000000000000002-20000000000000000000000
χ874-4-44-244-4224-4-4-24-44-400-222-2004-2-4200004-400-22-220000000-2200000000000-2200000000000000000000000000000000000
χ884-4-44-244-4224-4-4-2-44-4400-222-2004-2-420000-44002-22-20000000-22000000000002-200000000000000000000000000000000000
χ894-4-44-2-2-4422-222-200004-41-1-110022-2-2−2i32i3−2i32i3000000000-22−2i32i3-22-1100i3−i3i3−i30000000000000000001-1i3−i300000000000000000000
χ904-4-44-2-2-4422-222-200004-41-1-110022-2-22i3−2i32i3−2i3000000000-222i3−2i3-22-1100−i3i3−i3i30000000000000000001-1−i3i300000000000000000000
χ914-4-44-2-2-4422-222-20000-441-1-110022-2-2−2i32i3−2i32i30000000002-22i3−2i32-2-1100i3−i3i3−i3000000000000000000-11−i3i300000000000000000000
χ924-4-44-2-2-4422-222-20000-441-1-110022-2-22i3−2i32i3−2i30000000002-2−2i32i32-2-1100−i3i3−i3i3000000000000000000-11i3−i300000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400000022220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-4-400-4444-4400000022-2-242−420000−22−22222200000000000000000−222222−2−2000000000000000000000000000000000000000000
χ9588-8-8-4-400-4444-4400000022-2-2−424200002222−22−220000000000000000022−22−2−222000000000000000000000000000000000000000000
χ968-88-88-400-884-44-8000000-44-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4004-44-4440000002-22-20000002i6−2i6−2i62i60000000000000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ988-88-8-4-4004-44-4440000002-22-2000000−2i62i62i6−2i60000000000000000000i6−i6−i6i6000000000000000000000000000000000000000000
χ998-8-88-4-48-844-444-40000002-2-2200-4-44400000000000000000002-2000000000000000000000000000000000000000000000000

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