Finite Group Databasebeta

← Group #11865814

Character table — Group #11865814

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order1222334466666644443446668812121212242424242244121212124121212121212121224242424242422444668888121224242424121212121244246666121212242444488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1111111111111111111111-1-1-11111-1-1-1-1111111111-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-111-1-111-1-111-1-1111-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-111-1-11111-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-111-1-1-11111
χ51111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-11-1-1111111111111-1-1-1-1-111-1-1-1-1-1-11-1-1111-1-111-1-1
χ61111111111111111111-1-1111111111111111-1-11111-1-1-1-1-1-1-111111111-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-111-1-111
χ71111111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-11-1-1111111-1-1111-1-1-1-11-1-1-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-111-1-111111-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-111-1-11-1-1-111-11111-11111-1-1
χ911111111111111-1-1-1-11111111111111111-1-111-1-1-1-1111111111111111-1-1111-1-1-1-11111-1-1-1-111111-1-1-11-1-1-1-111111-1-1-1-1-11-1
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
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-1-111-1-1111111-111-1-1-1-11-1-1-111111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-11111-1-111-1-1-111111-1-11-1
χ1311111111111111-1-1-1-11-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-111-1-1-11
χ1411111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-11-1-1111-1
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-1-1-1111-1-1-1-111-1-11111111-1-111-1-1-1111-1-11-1-1-1-1-111111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-111-111-1-11111-1-111111-1-11111-1-111-1-1-111111-1-1-1-1-11
χ17222222-2-2222222222220022200-2-2-2-20000-2-22222220000000-2-200000000-200-2-200002200000000022000000-20000-2000000
χ18222222-2-2222222222220022200-2-2-2-20000-2-2-2-222220000000-2-200000000200-2-20000-2-2000000000-2-2000000200002000000
χ19222222-2-2222222-2-2-2-220022200-2-2-2-200002222-2-2-2-20000000-2-200000000-20022000022000000000-2-2000000-200002000000
χ20222222-2-2222222-2-2-2-220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000200220000-2-20000000002200000020000-2000000
χ2122222-122-1-12-1222222-122-1-1-122-12-12-1-1-1-12200-1-1-1-12-1-1-1-122-1-122-1-1-1-122000-1-1220000-1-1-1-12-1-1-1-10020-1-1-1-1000000000000
χ2222222-122-1-12-1222222-122-1-1-1-2-2-12-1211112200-1-1-1-1-2-1-11122-1-1-2-2111122000-1-1-2-200001111-2-1-11100-20-1-111000000000000
χ2322222-122-1-12-1222222-1-2-2-1-1-122-12-12-1-1-1-12200-1-1-1-1-21111-2-2-1-122-1-1-1-1-2-2000-1-1220000-1-1-1-1-2111100-201111000000000000
χ2422222-122-1-12-1222222-1-2-2-1-1-1-2-2-12-1211112200-1-1-1-1211-1-1-2-2-1-1-2-21111-2-2000-1-1-2-200001111211-1-1002011-1-1000000000000
χ2522222-122-1-12-122-2-2-2-2-122-1-1-122-12-12-1-1-1-1-2-20011112-1-1-1-122-1-122-1-1-1-1-2-200011-2-2000011112-1-1-1-100-201111000000000000
χ2622222-122-1-12-122-2-2-2-2-122-1-1-1-2-2-12-121111-2-2001111-2-1-11122-1-1-2-21111-2-200011220000-1-1-1-1-2-1-111002011-1-1000000000000
χ2722222-122-1-12-122-2-2-2-2-1-2-2-1-1-122-12-12-1-1-1-1-2-2001111-21111-2-2-1-122-1-1-1-12200011-2-200001111-211110020-1-1-1-1000000000000
χ2822222-122-1-12-122-2-2-2-2-1-2-2-1-1-1-2-2-12-121111-2-2001111211-1-1-2-2-1-1-2-211112200011220000-1-1-1-1211-1-100-20-1-111000000000000
χ292222-122222-12-1-10000-122-1-1-1222-12-122220022000022222-1-1-1-1-1-1-1-1-1-100222000022-1-10000-1-1-1-1-100020000-1-1-1-1-100000-10
χ302222-122222-12-1-10000-122-1-1-1222-12-1222200-2-2000022222-1-1-1-1-1-1-1-1-1-100-2-2-20000-2-2110000-1-1-1-1-1000-20000111110000010
χ312222-122222-12-1-10000-122-1-1-1-2-22-12-1-2-2-2-200220000-222-2-2-1-1-1-1111111002220000-2-2-1-100001-1-111000-20000-1-1-1110000010
χ322222-122222-12-1-10000-122-1-1-1-2-22-12-1-2-2-2-200-2-20000-222-2-2-1-1-1-111111100-2-2-20000221100001-1-11100020000111-1-100000-10
χ332222-122222-12-1-10000-1-2-2-1-1-1222-12-1222200220000-2-2-2-2-211-1-1-1-1-1-1-1-1002-2-2000022-1-1000011111000-20000-111-1-10000010
χ342222-122222-12-1-10000-1-2-2-1-1-1222-12-1222200-2-20000-2-2-2-2-211-1-1-1-1-1-1-1-100-2220000-2-211000011111000200001-1-11100000-10
χ352222-122222-12-1-10000-1-2-2-1-1-1-2-22-12-1-2-2-2-2002200002-2-22211-1-1111111002-2-20000-2-2-1-10000-111-1-100020000-1111100000-10
χ362222-122222-12-1-10000-1-2-2-1-1-1-2-22-12-1-2-2-2-200-2-200002-2-22211-1-111111100-222000022110000-111-1-1000-200001-1-1-1-10000010
χ3722-2-2222-2-2-2-22-2222-2-2200-2-220022-2-200002-20022-2-200000002-20000000002i−2i2-20000000000000000000000002i−2i0002i−2i0000
χ3822-2-2222-2-2-2-22-2222-2-2200-2-220022-2-200002-20022-2-200000002-2000000000−2i2i2-2000000000000000000000000−2i2i000−2i2i0000
χ3922-2-2222-2-2-2-22-22-2-222200-2-220022-2-20000-2200-2-22200000002-20000000002i−2i-220000000000000000000000002i−2i000−2i2i0000
χ4022-2-2222-2-2-2-22-22-2-222200-2-220022-2-20000-2200-2-22200000002-2000000000−2i2i-22000000000000000000000000−2i2i0002i−2i0000
χ4122-2-222-22-2-2-22-2222-2-222-2-2-2200-2-2220000-220022-2-202-2002-2-220000002-2000-22000000000002-20000002-200000000000000
χ4222-2-222-22-2-2-22-2222-2-22-22-2-2200-2-2220000-220022-2-20-2200-22-22000000-22000-2200000000000-22000000-2200000000000000
χ4322-2-222-22-2-2-22-22-2-22222-2-2-2200-2-22200002-200-2-22202-2002-2-22000000-220002-2000000000002-2000000-2200000000000000
χ4422-2-222-22-2-2-22-22-2-2222-22-2-2200-2-22200002-200-2-2220-2200-22-220000002-20002-200000000000-220000002-200000000000000
χ4522-2-22-1-2211-2-1-2222-2-2-12-211-1001-2-12−i3−i3i3i3-2200-1-1110-11−i3i32-21-100−i3−i3i3i32-20001-1000000−i3−i3i3i30-11−i3i30000-11−i3i3000000000000
χ4622-2-22-1-2211-2-1-2222-2-2-12-211-1001-2-12i3i3−i3−i3-2200-1-1110-11i3−i32-21-100i3i3−i3−i32-20001-1000000i3i3−i3−i30-11i3−i30000-11i3−i3000000000000
χ4722-2-22-1-2211-2-1-2222-2-2-1-2211-1001-2-12−i3−i3i3i3-2200-1-11101-1i3−i3-221-100−i3−i3i3i3-220001-1000000−i3−i3i3i301-1i3−i300001-1i3−i3000000000000
χ4822-2-22-1-2211-2-1-2222-2-2-1-2211-1001-2-12i3i3−i3−i3-2200-1-11101-1−i3i3-221-100i3i3−i3−i3-220001-1000000i3i3−i3−i301-1−i3i300001-1−i3i3000000000000
χ4922-2-22-1-2211-2-1-22-2-222-12-211-1001-2-12−i3−i3i3i32-20011-1-10-11−i3i32-21-100−i3−i3i3i3-22000-11000000i3i3−i3−i30-11−i3i300001-1i3−i3000000000000
χ5022-2-22-1-2211-2-1-22-2-222-12-211-1001-2-12i3i3−i3−i32-20011-1-10-11i3−i32-21-100i3i3−i3−i3-22000-11000000−i3−i3i3i30-11i3−i300001-1−i3i3000000000000
χ5122-2-22-1-2211-2-1-22-2-222-1-2211-1001-2-12−i3−i3i3i32-20011-1-101-1i3−i3-221-100−i3−i3i3i32-2000-11000000i3i3−i3−i301-1i3−i30000-11−i3i3000000000000
χ5222-2-22-1-2211-2-1-22-2-222-1-2211-1001-2-12i3i3−i3−i32-20011-1-101-1−i3i3-221-100i3i3−i3−i32-2000-11000000−i3−i3i3i301-1−i3i30000-11i3−i3000000000000
χ532-2-2222002-22-2-2-22i−2i2i−2i2002-2-22−200002−22−2002-22i−2i2i−2i0000000002−22−22−20000000−i2i22−22-2−i2i2−i2i2000002i−2i0000000002−2000−i2i200
χ542-2-2222002-22-2-2-22i−2i2i−2i2002-2-22−200002−22−200-222i−2i2i−2i0000000002−22−22−20000000−i2i2−22-22−i2i2−i2i200000−2i2i000000000−22000i2−i200
χ552-2-2222002-22-2-2-22i−2i2i−2i2002-2-2−220000−22−22002-22i−2i2i−2i000000000−22−22−220000000i2−i2−222-2i2−i2i2−i2000002i−2i000000000−22000i2−i200
χ562-2-2222002-22-2-2-22i−2i2i−2i2002-2-2−220000−22−2200-222i−2i2i−2i000000000−22−22−220000000i2−i22−2-22i2−i2i2−i200000−2i2i0000000002−2000−i2i200
χ572-2-2222002-22-2-2-2−2i2i−2i2i2002-2-22−200002−22−2002-2−2i2i−2i2i0000000002−22−22−20000000i2−i22−22-2i2−i2i2−i200000−2i2i0000000002−2000i2−i200
χ582-2-2222002-22-2-2-2−2i2i−2i2i2002-2-22−200002−22−200-22−2i2i−2i2i0000000002−22−22−20000000i2−i2−22-22i2−i2i2−i2000002i−2i000000000−22000−i2i200
χ592-2-2222002-22-2-2-2−2i2i−2i2i2002-2-2−220000−22−22002-2−2i2i−2i2i000000000−22−22−220000000−i2i2−222-2−i2i2−i2i200000−2i2i000000000−22000−i2i200
χ602-2-2222002-22-2-2-2−2i2i−2i2i2002-2-2−220000−22−2200-22−2i2i−2i2i000000000−22−22−220000000−i2i22−2-22−i2i2−i2i2000002i−2i0000000002−2000i2−i200
χ6144444-2-4-4-2-24-2444444-200-2-2-2002-42-40000-4-400-2-2-2-2000000022000000000002200000000000000000000000000000000000
χ6244444-2-4-4-2-24-244-4-4-4-4-200-2-2-2002-42-400004400222200000002200000000000-2-200000000000000000000000000000000000
χ634444-24-4-444-24-2-20000-200-2-2-200-42-4200000044000000000002200000000-400000000-2-200000000000000000200000000000
χ644444-24-4-444-24-2-20000-200-2-2-200-42-42000000-4-40000000000022000000004000000002200000000000000000-200000000000
χ654444-2-244-2-2-2-2-2-2000014411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-2111100000000000000000-2111100000000000000000000
χ664444-2-244-2-2-2-2-2-20000144111-4-4-2-2-2-2222200000000-4-2-222-2-21122-1-1-1-100000000000000000211-1-100000000000000000000
χ674444-2-244-2-2-2-2-2-200001-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-21111000000000000000002-1-1-1-100000000000000000000
χ684444-2-244-2-2-2-2-2-200001-4-4111-4-4-2-2-2-2222200000000422-2-2221122-1-1-1-100000000000000000-2-1-11100000000000000000000
χ6944-4-44-24-422-4-2-4444-4-4-20022-200-242-400004-400-2-2220000000-2200000000000-2200000000000000000000000000000000000
χ7044-4-44-24-422-4-2-44-4-444-20022-200-242-40000-440022-2-20000000-22000000000002-200000000000000000000000000000000000
χ7144-4-4-244-4-4-4242-20000-20022-2004-2-420000000000000000000-220000000004i−4i00000000000000000000000000−2i2i000000000
χ7244-4-4-244-4-4-4242-20000-20022-2004-2-420000000000000000000-22000000000−4i4i000000000000000000000000002i−2i000000000
χ7344-4-4-24-44-4-4242-20000-24-422-200-424-200000000000004-400-222-2000000000000000000000000-220000000000000000000000
χ7444-4-4-24-44-4-4242-20000-2-4422-200-424-20000000000000-44002-22-20000000000000000000000002-20000000000000000000000
χ7544-4-4-2-2-44222-22-2000014-4-1-110022-2-2−2i3−2i32i32i3000000000-22−2i32i3-22-1100i3i3−i3−i30000000000000000001-1i3−i300000000000000000000
χ7644-4-4-2-2-44222-22-2000014-4-1-110022-2-22i32i3−2i3−2i3000000000-222i3−2i3-22-1100−i3−i3i3i30000000000000000001-1−i3i300000000000000000000
χ7744-4-4-2-2-44222-22-200001-44-1-110022-2-2−2i3−2i32i32i30000000002-22i3−2i32-2-1100i3i3−i3−i3000000000000000000-11−i3i300000000000000000000
χ7844-4-4-2-2-44222-22-200001-44-1-110022-2-22i32i3−2i3−2i30000000002-2−2i32i32-2-1100−i3−i3i3i3000000000000000000-11i3−i300000000000000000000
χ794-44-44400-44-4-44-44i−4i−4i4i400-44-4000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ804-44-44400-44-4-44-4−4i4i4i−4i400-44-400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ814-44-44-2002-2-424-44i−4i−4i4i-2002-22000000i6−i6−i6i60000−2i2i2i−2i00000000000i6−i6−i6i600000000000006−6−660000000000000000000000000
χ824-44-44-2002-2-424-44i−4i−4i4i-2002-22000000−i6i6i6−i60000−2i2i2i−2i00000000000−i6i6i6−i60000000000000−666−60000000000000000000000000
χ834-44-44-2002-2-424-4−4i4i4i−4i-2002-22000000i6−i6−i6i600002i−2i−2i2i00000000000i6−i6−i6i60000000000000−666−60000000000000000000000000
χ844-44-44-2002-2-424-4−4i4i4i−4i-2002-22000000−i6i6i6−i600002i−2i−2i2i00000000000−i6i6i6−i600000000000006−6−660000000000000000000000000
χ854-4-444-200-2242-4-44i−4i4i−4i-200-22222−220000−22−220000−2i2i−2i2i00000000022−22−22−220000000−2i22i20000i2−i2i2−i20000000000000000000000000
χ864-4-444-200-2242-4-44i−4i4i−4i-200-222−222200002−22−20000−2i2i−2i2i000000000−22222−22−200000002i2−2i20000−i2i2−i2i20000000000000000000000000
χ874-4-444-200-2242-4-4−4i4i−4i4i-200-22222−220000−22−2200002i−2i2i−2i00000000022−22−22−2200000002i2−2i20000−i2i2−i2i20000000000000000000000000
χ884-4-444-200-2242-4-4−4i4i−4i4i-200-222−222200002−22−200002i−2i2i−2i000000000−22222−22−20000000−2i22i20000i2−i2i2−i20000000000000000000000000
χ894-4-44-24004-4-2-4220000-200-22222−22000022−2222−22004-40000000000000−22−22−2200000000022−22-2200000000000000000000−220000000
χ904-4-44-24004-4-2-4220000-200-22222−22000022−2222−2200-440000000000000−22−22−22000000000−22222-2000000000000000000002−20000000
χ914-4-44-24004-4-2-4220000-200-222−22220000−2222−2222004-400000000000002−22−22−2000000000−2222-22000000000000000000002−20000000
χ924-4-44-24004-4-2-4220000-200-222−22220000−2222−222200-4400000000000002−22−22−200000000022−222-200000000000000000000−220000000
χ938888-4-4-8-8-4-4-4-4-4-400002002220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-4-48-8444-44-40000200-2-2200-4-44400000000000000000002-2000000000000000000000000000000000000000000000000
χ958-88-8-4800-884-8-440000-4004-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-4004-444-440000200-22-20000002i6−2i6−2i62i60000000000000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ978-88-8-4-4004-444-440000200-22-2000000−2i62i62i6−2i60000000000000000000i6−i6−i6i6000000000000000000000000000000000000000000
χ988-8-88-4-400-44-444400002002-2-242−420000−2222−222200000000000000000−22222−22−2000000000000000000000000000000000000000000
χ998-8-88-4-400-44-444400002002-2-2−4242000022−2222−220000000000000000022−22−22−22000000000000000000000000000000000000000000

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