Finite Group Databasebeta

← Group #11865812

Character table — Group #11865812

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order122233446666664444344666881212121224242424224412121212412121212121212122424242424242244466888812122424242412121212124422666612121224244448864
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
χ3111111111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-111-1-111-1-111-1-1111-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-11111-1-111-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-111-1-1-11111
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
χ71111111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-11-1-1111111-1-1111-1-1-1-11-1-1-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-111-1-11-1-1-111-11111-11111-1-1
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
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-1-111-1-1111111-111-1-1-1-11-1-1-111111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-11111-1-111-1-1-111111-1-11-1
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
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111-1-1-1-111-1-11111111-1-111-1-1-1111-1-11-1-1-1-1-111111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-111-1-11111-1-111111-1-11111-1-111-1-1-111111-1-1-1-1-11
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
χ2122222-122-1-122-122222-122-1-1-1222-12-1-1-1-1-12200-1-1-1-1222-1-1-1-1-1-122-1-1-1-122000-1-1220000-1-1-1-12-1-1-1-10020-1-1-1-1000000000000
χ2222222-122-1-122-122222-122-1-1-1-2-22-12-111112200-1-1-1-1-222-1-111-1-1-2-2111122000-1-1-2-200001111-2-1-11100-20-1-111000000000000
χ2322222-122-1-122-122222-1-2-2-1-1-1222-12-1-1-1-1-12200-1-1-1-1-2-2-21111-1-122-1-1-1-1-2-2000-1-1220000-1-1-1-1-2111100-201111000000000000
χ2422222-122-1-122-122222-1-2-2-1-1-1-2-22-12-111112200-1-1-1-12-2-211-1-1-1-1-2-21111-2-2000-1-1-2-200001111211-1-1002011-1-1000000000000
χ2522222-122-1-122-12-2-2-2-2-122-1-1-1222-12-1-1-1-1-1-2-2001111222-1-1-1-1-1-122-1-1-1-1-2-200011-2-2000011112-1-1-1-100-201111000000000000
χ2622222-122-1-122-12-2-2-2-2-122-1-1-1-2-22-12-11111-2-2001111-222-1-111-1-1-2-21111-2-200011220000-1-1-1-1-2-1-111002011-1-1000000000000
χ2722222-122-1-122-12-2-2-2-2-1-2-2-1-1-1222-12-1-1-1-1-1-2-2001111-2-2-21111-1-122-1-1-1-12200011-2-200001111-211110020-1-1-1-1000000000000
χ2822222-122-1-122-12-2-2-2-2-1-2-2-1-1-1-2-22-12-11111-2-20011112-2-211-1-1-1-1-2-211112200011220000-1-1-1-1211-1-100-20-1-111000000000000
χ292222-122222-1-12-10000-122-1-1-122-12-122222002200002-1-12222-1-1-1-1-1-1-1-100222000022-1-10000-1-1-1-1-100020000-1-1-1-1-100000-10
χ302222-122222-1-12-10000-122-1-1-122-12-12222200-2-200002-1-12222-1-1-1-1-1-1-1-100-2-2-20000-2-2110000-1-1-1-1-1000-20000111110000010
χ312222-122222-1-12-10000-122-1-1-1-2-2-12-12-2-2-2-200220000-2-1-122-2-2-1-1111111002220000-2-2-1-100001-1-111000-20000-1-1-1110000010
χ322222-122222-1-12-10000-122-1-1-1-2-2-12-12-2-2-2-200-2-20000-2-1-122-2-2-1-111111100-2-2-20000221100001-1-11100020000111-1-100000-10
χ332222-122222-1-12-10000-1-2-2-1-1-122-12-12222200220000-211-2-2-2-2-1-1-1-1-1-1-1-1002-2-2000022-1-1000011111000-20000-111-1-10000010
χ342222-122222-1-12-10000-1-2-2-1-1-122-12-12222200-2-20000-211-2-2-2-2-1-1-1-1-1-1-1-100-2220000-2-211000011111000200001-1-11100000-10
χ352222-122222-1-12-10000-1-2-2-1-1-1-2-2-12-12-2-2-2-200220000211-2-222-1-1111111002-2-20000-2-2-1-10000-111-1-100020000-1111100000-10
χ362222-122222-1-12-10000-1-2-2-1-1-1-2-2-12-12-2-2-2-200-2-20000211-2-222-1-111111100-222000022110000-111-1-1000-200001-1-1-1-10000010
χ3722-2-222002-2-2-2-222i2i−2i−2i2002-2-22−2000022−2−2002i−2i2i2i−2i−2i0000000002−222−2−20000000−i2i2−i2i22i−2i−i2−i2i2i2000002-2000000000−i2i20002−200
χ3822-2-222002-2-2-2-222i2i−2i−2i2002-2-22−2000022−2−200−2i2i2i2i−2i−2i0000000002−222−2−20000000−i2i2i2−i2−2i2i−i2−i2i2i200000-22000000000i2−i2000−2200
χ3922-2-222002-2-2-2-222i2i−2i−2i2002-2-2−220000−2−222002i−2i2i2i−2i−2i000000000−22−2−2220000000i2−i2i2−i22i−2ii2i2−i2−i2000002-2000000000i2−i2000−2200
χ4022-2-222002-2-2-2-222i2i−2i−2i2002-2-2−220000−2−22200−2i2i2i2i−2i−2i000000000−22−2−2220000000i2−i2−i2i2−2i2ii2i2−i2−i200000-22000000000−i2i20002−200
χ4122-2-222002-2-2-2-22−2i−2i2i2i2002-2-22−2000022−2−2002i−2i−2i−2i2i2i0000000002−222−2−20000000i2−i2−i2i22i−2ii2i2−i2−i200000-22000000000−i2i2000−2200
χ4222-2-222002-2-2-2-22−2i−2i2i2i2002-2-22−2000022−2−200−2i2i−2i−2i2i2i0000000002−222−2−20000000i2−i2i2−i2−2i2ii2i2−i2−i2000002-2000000000i2−i20002−200
χ4322-2-222002-2-2-2-22−2i−2i2i2i2002-2-2−220000−2−222002i−2i−2i−2i2i2i000000000−22−2−2220000000−i2i2i2−i22i−2i−i2−i2i2i200000-22000000000i2−i20002−200
χ4422-2-222002-2-2-2-22−2i−2i2i2i2002-2-2−220000−2−22200−2i2i−2i−2i2i2i000000000−22−2−2220000000−i2i2−i2i2−2i2i−i2−i2i2i2000002-2000000000−i2i2000−2200
χ452-22-2222-2-2-2-222-22-22-2200-2-220022-2-200002-2002-22-200000002-20000000002i−2i2-20000000000000000000000002i−2i0002i−2i0000
χ462-22-2222-2-2-2-222-22-22-2200-2-220022-2-200002-2002-22-200000002-2000000000−2i2i2-2000000000000000000000000−2i2i000−2i2i0000
χ472-22-2222-2-2-2-222-2-22-22200-2-220022-2-20000-2200-22-2200000002-20000000002i−2i-220000000000000000000000002i−2i000−2i2i0000
χ482-22-2222-2-2-2-222-2-22-22200-2-220022-2-20000-2200-22-2200000002-2000000000−2i2i-22000000000000000000000000−2i2i0002i−2i0000
χ492-22-222-22-2-2-222-22-22-222-2-2-2200-2-2220000-22002-22-202-22-200-220000002-2000-22000000000002-20000002-200000000000000
χ502-22-222-22-2-2-222-22-22-22-22-2-2200-2-2220000-22002-22-20-22-2200-22000000-22000-2200000000000-22000000-2200000000000000
χ512-22-222-22-2-2-222-2-22-2222-2-2-2200-2-22200002-200-22-2202-22-200-22000000-220002-2000000000002-2000000-2200000000000000
χ522-22-222-22-2-2-222-2-22-222-22-2-2200-2-22200002-200-22-220-22-2200-220000002-20002-200000000000-220000002-200000000000000
χ532-22-22-1-2211-22-1-22-22-2-12-211-100-212-1−i3i3−i3i3-2200-11-1102-2-11−i3i31-100−i3i3−i3i32-20001-1000000−i3i3−i3i30-11−i3i30000-11−i3i3000000000000
χ542-22-22-1-2211-22-1-22-22-2-12-211-100-212-1i3−i3i3−i3-2200-11-1102-2-11i3−i31-100i3−i3i3−i32-20001-1000000i3−i3i3−i30-11i3−i30000-11i3−i3000000000000
χ552-22-22-1-2211-22-1-22-22-2-1-2211-100-212-1−i3i3−i3i3-2200-11-110-221-1i3−i31-100−i3i3−i3i3-220001-1000000−i3i3−i3i301-1i3−i300001-1i3−i3000000000000
χ562-22-22-1-2211-22-1-22-22-2-1-2211-100-212-1i3−i3i3−i3-2200-11-110-221-1−i3i31-100i3−i3i3−i3-220001-1000000i3−i3i3−i301-1−i3i300001-1−i3i3000000000000
χ572-22-22-1-2211-22-1-2-22-22-12-211-100-212-1−i3i3−i3i32-2001-11-102-2-11−i3i31-100−i3i3−i3i3-22000-11000000i3−i3i3−i30-11−i3i300001-1i3−i3000000000000
χ582-22-22-1-2211-22-1-2-22-22-12-211-100-212-1i3−i3i3−i32-2001-11-102-2-11i3−i31-100i3−i3i3−i3-22000-11000000−i3i3−i3i30-11i3−i300001-1−i3i3000000000000
χ592-22-22-1-2211-22-1-2-22-22-1-2211-100-212-1−i3i3−i3i32-2001-11-10-221-1i3−i31-100−i3i3−i3i32-2000-11000000i3−i3i3−i301-1i3−i30000-11−i3i3000000000000
χ602-22-22-1-2211-22-1-2-22-22-1-2211-100-212-1i3−i3i3−i32-2001-11-10-221-1−i3i31-100i3−i3i3−i32-2000-11000000−i3i3−i3i301-1−i3i30000-11i3−i3000000000000
χ6144444-2-4-4-2-244-244444-200-2-2-200-42-420000-4-400-2-2-2-2000000022000000000002200000000000000000000000000000000000
χ6244444-2-4-4-2-244-24-4-4-4-4-200-2-2-200-42-4200004400222200000002200000000000-2-200000000000000000000000000000000000
χ634444-24-4-444-2-24-20000-200-2-2-2002-42-400000044000000000002200000000-400000000-2-200000000000000000200000000000
χ644444-24-4-444-2-24-20000-200-2-2-2002-42-4000000-4-40000000000022000000004000000002200000000000000000-200000000000
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
χ664444-2-244-2-2-2-2-2-20000144111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-100000000000000000211-1-100000000000000000000
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
χ684444-2-244-2-2-2-2-2-200001-4-4111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-100000000000000000-2-1-11100000000000000000000
χ6944-4-44-200-22-4-4244i4i−4i−4i-200-22222−220000−2−2220000−2i−2i2i2i00000000022−22−2−2220000000−2i22i20000i2i2−i2−i20000000000000000000000000
χ7044-4-44-200-22-4-4244i4i−4i−4i-200-222−2222000022−2−20000−2i−2i2i2i000000000−222222−2−200000002i2−2i20000−i2−i2i2i20000000000000000000000000
χ7144-4-44-200-22-4-424−4i−4i4i4i-200-22222−220000−2−22200002i2i−2i−2i00000000022−22−2−22200000002i2−2i20000−i2−i2i2i20000000000000000000000000
χ7244-4-44-200-22-4-424−4i−4i4i4i-200-222−2222000022−2−200002i2i−2i−2i000000000−222222−2−20000000−2i22i20000i2i2−i2−i20000000000000000000000000
χ7344-4-4-24004-422-4-20000-200-22222−2200002222−22−22004i−4i0000000000000−22−2−222000000000−2i22i2−2i2i00000000000000000000i2−i20000000
χ7444-4-4-24004-422-4-20000-200-22222−2200002222−22−2200−4i4i0000000000000−22−2−2220000000002i2−2i22i−2i00000000000000000000−i2i20000000
χ7544-4-4-24004-422-4-20000-200-222−22220000−22−222222004i−4i00000000000002−222−2−20000000002i2−2i2−2i2i00000000000000000000−i2i20000000
χ7644-4-4-24004-422-4-20000-200-222−22220000−22−22222200−4i4i00000000000002−222−2−2000000000−2i22i22i−2i00000000000000000000i2−i20000000
χ774-44-44-24-422-44-2-44-44-4-20022-2004-2-4200004-400-22-220000000-2200000000000-2200000000000000000000000000000000000
χ784-44-44-24-422-44-2-4-44-44-20022-2004-2-420000-44002-22-20000000-22000000000002-200000000000000000000000000000000000
χ794-44-4-244-4-4-42-2420000-20022-200-242-40000000000000000000-220000000004i−4i00000000000000000000000000−2i2i000000000
χ804-44-4-244-4-4-42-2420000-20022-200-242-40000000000000000000-22000000000−4i4i000000000000000000000000002i−2i000000000
χ814-44-4-24-44-4-42-2420000-24-422-2002-4-240000000000000-224-4002-2000000000000000000000000-220000000000000000000000
χ824-44-4-24-44-4-42-2420000-2-4422-2002-4-2400000000000002-2-44002-20000000000000000000000002-20000000000000000000000
χ834-44-4-2-2-44222-2-22000014-4-1-110022-2-2−2i32i3−2i32i3000000000-22-22−2i32i3-1100i3−i3i3−i30000000000000000001-1i3−i300000000000000000000
χ844-44-4-2-2-44222-2-22000014-4-1-110022-2-22i3−2i32i3−2i3000000000-22-222i3−2i3-1100−i3i3−i3i30000000000000000001-1−i3i300000000000000000000
χ854-44-4-2-2-44222-2-2200001-44-1-110022-2-2−2i32i3−2i32i30000000002-22-22i3−2i3-1100i3−i3i3−i3000000000000000000-11−i3i300000000000000000000
χ864-44-4-2-2-44222-2-2200001-44-1-110022-2-22i3−2i32i3−2i30000000002-22-2−2i32i3-1100−i3i3−i3i3000000000000000000-11i3−i300000000000000000000
χ874-4-444400-444-4-4-44i−4i−4i4i400-44-4000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ884-4-444400-444-4-4-4−4i4i4i−4i400-44-400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ894-4-444-2002-24-42-44i−4i−4i4i-2002-22000000i6−i6−i6i60000−2i2i2i−2i00000000000i6−i6−i6i600000000000006−6−660000000000000000000000000
χ904-4-444-2002-24-42-44i−4i−4i4i-2002-22000000−i6i6i6−i60000−2i2i2i−2i00000000000−i6i6i6−i60000000000000−666−60000000000000000000000000
χ914-4-444-2002-24-42-4−4i4i4i−4i-2002-22000000i6−i6−i6i600002i−2i−2i2i00000000000i6−i6−i6i60000000000000−666−60000000000000000000000000
χ924-4-444-2002-24-42-4−4i4i4i−4i-2002-22000000−i6i6i6−i600002i−2i−2i2i00000000000−i6i6i6−i600000000000006−6−660000000000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400002002220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-4-400-44444-400002002-2-242−420000−22−22222200000000000000000−222222−2−2000000000000000000000000000000000000000000
χ9588-8-8-4-400-44444-400002002-2-2−424200002222−22−220000000000000000022−22−2−222000000000000000000000000000000000000000000
χ968-88-8-4-48-8444-4-440000200-2-2200-4-44400000000000000000002-2000000000000000000000000000000000000000000000000
χ978-8-88-4800-88-44-840000-4004-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-4004-4-44440000200-22-20000002i6−2i6−2i62i60000000000000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ998-8-88-4-4004-4-44440000200-22-2000000−2i62i62i6−2i60000000000000000000i6−i6−i6i6000000000000000000000000000000000000000000

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