Finite Group Databasebeta

← Group #11869684

Character table — Group #11869684

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order122233446666664444344666881212121224242424222212121212412121212121212122424242424244444466668888242424241212121212444412121212121212242424488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111111111111111111-1-1-11111-1-111-1-1111111111-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-11111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-111-1-1-11111
χ51111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-11-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1
χ61111111111111111111-1-1111111111111111-1-11111-1-1-1-1-1-1-11111111111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-111
χ71111111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11-1-1111111-1-111-1-11-1-11-1-1-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-111-1-1-1-111-1-1-1-11-1-111-1-11-1-1-11111-111-11111-1-1
χ911111111111111-1-1-1-11111111111111111-1-111-1-1-1-1111111111111111111-1-1-1-111-1-111-1-1-1-111111-1-1-11-1-1-1-111111-1-1-1-1-11-1
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
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1-1-1111-1-1-1-11111-1-11111-111-1-1-1-11-1-1-111111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-11111-1-111-1-1-111111-1-11-1
χ1311111111111111-1-1-1-11-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1111-111-1-1-11
χ1411111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-11-1-1111-1
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11111-1-111111-1-111-1-1-1111-1-1-1-11-1-1-111111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-111-1-1-1-1111111111-1-11111-1-111-1-111-1111-1-1-1-1-11
χ17222222-2-2222222222220022200-2-2-2-20000-2-22222220000000-2-200000000-200-2-22200000000000002200000000-200-2000000
χ18222222-2-2222222222220022200-2-2-2-20000-2-2-2-222220000000-2-200000000200-2-2-2-20000000000000-2-2000000002002000000
χ19222222-2-2222222-2-2-2-220022200-2-2-2-200002222-2-2-2-20000000-2-200000000-20022220000000000000-2-200000000-2002000000
χ20222222-2-2222222-2-2-2-220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-20000000020022-2-200000000000002200000000200-2000000
χ2122222-1222-12-1-122222-122-1-1-122-122-1-1-1-1-12200-1-1-1-1222-1-1-1-1-1-122-1-1-1-100022-1-1002200-1-1-1-12-1-1-1-10020-1-1-1-1000000000000
χ2222222-1222-12-1-122222-122-1-1-1-2-2-122-111112200-1-1-1-1-222-1-111-1-1-2-2111100022-1-100-2-2001111-2-1-11100-20-1-111000000000000
χ2322222-1222-12-1-122222-1-2-2-1-1-122-122-1-1-1-1-12200-1-1-1-1-2-2-21111-1-122-1-1-1-1000-2-2-1-1002200-1-1-1-1-2111100-201111000000000000
χ2422222-1222-12-1-122222-1-2-2-1-1-1-2-2-122-111112200-1-1-1-12-2-211-1-1-1-1-2-21111000-2-2-1-100-2-2001111211-1-1002011-1-1000000000000
χ2522222-1222-12-1-12-2-2-2-2-122-1-1-122-122-1-1-1-1-1-2-2001111222-1-1-1-1-1-122-1-1-1-1000-2-21100-2-20011112-1-1-1-100-201111000000000000
χ2622222-1222-12-1-12-2-2-2-2-122-1-1-1-2-2-122-11111-2-2001111-222-1-111-1-1-2-21111000-2-211002200-1-1-1-1-2-1-111002011-1-1000000000000
χ2722222-1222-12-1-12-2-2-2-2-1-2-2-1-1-122-122-1-1-1-1-1-2-2001111-2-2-21111-1-122-1-1-1-1000221100-2-2001111-211110020-1-1-1-1000000000000
χ2822222-1222-12-1-12-2-2-2-2-1-2-2-1-1-1-2-2-122-11111-2-20011112-2-211-1-1-1-1-2-211110002211002200-1-1-1-1211-1-100-20-1-111000000000000
χ292222-1222-12-122-10000-122-1-1-1222-1-122222002200002-1-12222-1-1-1-1-1-1-1-12220000-1-100220000-1-1-1-1-100020000-1-1-1-1-100000-10
χ302222-1222-12-122-10000-122-1-1-1222-1-12222200-2-200002-1-12222-1-1-1-1-1-1-1-1-2-2-200001100-2-20000-1-1-1-1-1000-20000111110000010
χ312222-1222-12-122-10000-122-1-1-1-2-22-1-12-2-2-2-200220000-2-1-122-2-2-1-11111112220000-1-100-2-200001-1-111000-20000-1-1-1110000010
χ322222-1222-12-122-10000-122-1-1-1-2-22-1-12-2-2-2-200-2-20000-2-1-122-2-2-1-1111111-2-2-2000011002200001-1-11100020000111-1-100000-10
χ332222-1222-12-122-10000-1-2-2-1-1-1222-1-12222200220000-211-2-2-2-2-1-1-1-1-1-1-1-1-2-220000-1-10022000011111000-2000011-1-1-10000010
χ342222-1222-12-122-10000-1-2-2-1-1-1222-1-12222200-2-20000-211-2-2-2-2-1-1-1-1-1-1-1-122-200001100-2-200001111100020000-1-111100000-10
χ352222-1222-12-122-10000-1-2-2-1-1-1-2-22-1-12-2-2-2-200220000211-2-222-1-1111111-2-220000-1-100-2-20000-111-1-10002000011-11100000-10
χ362222-1222-12-122-10000-1-2-2-1-1-1-2-22-1-12-2-2-2-200-2-20000211-2-222-1-111111122-200001100220000-111-1-1000-20000-1-11-1-10000010
χ3722-2-22200-2-222-2-22i2i−2i−2i200-22-2−i2i20000−i2−i2i2i2002-22i2i−2i−2i000000000−i2i2−i2−i2i2i200000002-22−2−i2i222−2−2000002i−2i000000000−i2i20002−200
χ3822-2-22200-2-222-2-22i2i−2i−2i200-22-2−i2i20000−i2−i2i2i200-222i2i−2i−2i000000000−i2i2−i2−i2i2i20000000-222−2i2−i222−2−200000−2i2i000000000i2−i2000−2200
χ3922-2-22200-2-222-2-22i2i−2i−2i200-22-2i2−i20000i2i2−i2−i2002-22i2i−2i−2i000000000i2−i2i2i2−i2−i200000002-2−22i2−i2−2−222000002i−2i000000000i2−i2000−2200
χ4022-2-22200-2-222-2-22i2i−2i−2i200-22-2i2−i20000i2i2−i2−i200-222i2i−2i−2i000000000i2−i2i2i2−i2−i20000000-22−22−i2i2−2−22200000−2i2i000000000−i2i20002−200
χ4122-2-22200-2-222-2-2−2i−2i2i2i200-22-2−i2i20000−i2−i2i2i2002-2−2i−2i2i2i000000000−i2i2−i2−i2i2i200000002-2−22−i2i2−2−22200000−2i2i000000000−i2i2000−2200
χ4222-2-22200-2-222-2-2−2i−2i2i2i200-22-2−i2i20000−i2−i2i2i200-22−2i−2i2i2i000000000−i2i2−i2−i2i2i20000000-22−22i2−i2−2−222000002i−2i000000000i2−i20002−200
χ4322-2-22200-2-222-2-2−2i−2i2i2i200-22-2i2−i20000i2i2−i2−i2002-2−2i−2i2i2i000000000i2−i2i2i2−i2−i200000002-22−2i2−i222−2−200000−2i2i000000000i2−i20002−200
χ4422-2-22200-2-222-2-2−2i−2i2i2i200-22-2i2−i20000i2i2−i2−i200-22−2i−2i2i2i000000000i2−i2i2i2−i2−i20000000-222−2−i2i222−2−2000002i−2i000000000−i2i2000−2200
χ452-22-2222-2-22-2-2-222-22-222i−2i2-2-200-22-2200002-2002-22-202i−2i2i−2i00-220000000002i−2i2-2000000000002i−2i0000002i−2i00000000000000
χ462-22-2222-2-22-2-2-222-22-22−2i2i2-2-200-22-2200002-2002-22-20−2i2i−2i2i00-22000000000−2i2i2-200000000000−2i2i000000−2i2i00000000000000
χ472-22-2222-2-22-2-2-22-22-2222i−2i2-2-200-22-220000-2200-22-2202i−2i2i−2i00-22000000000−2i2i-22000000000002i−2i000000−2i2i00000000000000
χ482-22-2222-2-22-2-2-22-22-222−2i2i2-2-200-22-220000-2200-22-220−2i2i−2i2i00-220000000002i−2i-2200000000000−2i2i0000002i−2i00000000000000
χ492-22-222-22-22-2-2-222-22-22002-2-2002-22-20000-22002-22-200000002-20000002i−2i000-22000000000000000000000002i−2i00002i−2i0000
χ502-22-222-22-22-2-2-222-22-22002-2-2002-22-20000-22002-22-200000002-2000000−2i2i000-2200000000000000000000000−2i2i0000−2i2i0000
χ512-22-222-22-22-2-2-22-22-222002-2-2002-22-200002-200-22-2200000002-20000002i−2i0002-2000000000000000000000002i−2i0000−2i2i0000
χ522-22-222-22-22-2-2-22-22-222002-2-2002-22-200002-200-22-2200000002-2000000−2i2i0002-200000000000000000000000−2i2i00002i−2i0000
χ532-22-22-12-2-2-1-21122-22-2-12i−2i-1110012-2-1−i3i3−i3i32-200-11-1102i−2i−ii3−31-100−i3i3−i3i30002i−2i-11000000−i3i3−i3i30−ii3−30000−ii3−3000000000000
χ542-22-22-12-2-2-1-21122-22-2-12i−2i-1110012-2-1i3−i3i3−i32-200-11-1102i−2i−ii−331-100i3−i3i3−i30002i−2i-11000000i3−i3i3−i30−ii−330000−ii−33000000000000
χ552-22-22-12-2-2-1-21122-22-2-1−2i2i-1110012-2-1−i3i3−i3i32-200-11-110−2i2ii−i−331-100−i3i3−i3i3000−2i2i-11000000−i3i3−i3i30i−i−330000i−i−33000000000000
χ562-22-22-12-2-2-1-21122-22-2-1−2i2i-1110012-2-1i3−i3i3−i32-200-11-110−2i2ii−i3−31-100i3−i3i3−i3000−2i2i-11000000i3−i3i3−i30i−i3−30000i−i3−3000000000000
χ572-22-22-12-2-2-1-2112-22-22-12i−2i-1110012-2-1−i3i3−i3i3-22001-11-102i−2i−ii3−31-100−i3i3−i3i3000−2i2i1-1000000i3−i3i3−i30−ii3−30000i−i−33000000000000
χ582-22-22-12-2-2-1-2112-22-22-12i−2i-1110012-2-1i3−i3i3−i3-22001-11-102i−2i−ii−331-100i3−i3i3−i3000−2i2i1-1000000−i3i3−i3i30−ii−330000i−i3−3000000000000
χ592-22-22-12-2-2-1-2112-22-22-1−2i2i-1110012-2-1−i3i3−i3i3-22001-11-10−2i2ii−i−331-100−i3i3−i3i30002i−2i1-1000000i3−i3i3−i30i−i−330000−ii3−3000000000000
χ602-22-22-12-2-2-1-2112-22-22-1−2i2i-1110012-2-1i3−i3i3−i3-22001-11-10−2i2ii−i3−31-100i3−i3i3−i30002i−2i1-1000000−i3i3−i3i30i−i3−30000−ii−33000000000000
χ6144444-2-4-44-24-2-244444-200-2-2-2002-4-420000-4-400-2-2-2-2000000022000000000002200000000000000000000000000000000000
χ6244444-2-4-44-24-2-24-4-4-4-4-200-2-2-2002-4-4200004400222200000002200000000000-2-200000000000000000000000000000000000
χ634444-24-4-4-24-244-20000-200-2-2-200-422-400000044000000000002200000000-40000-2-2000000000000000000000002000000000
χ644444-24-4-4-24-244-20000-200-2-2-200-422-4000000-4-4000000000002200000000400002200000000000000000000000-2000000000
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
χ6944-4-44-200-424-22-44i4i−4i−4i-2002-22−2i22i20000i2i2−i2−i20000−2i−2i2i2i000000000−2i22i2i2i2−i2−i200000000022−2200−2−2220000000000000000000000000
χ7044-4-44-200-424-22-44i4i−4i−4i-2002-222i2−2i20000−i2−i2i2i20000−2i−2i2i2i0000000002i2−2i2−i2−i2i2i2000000000−22220022−2−20000000000000000000000000
χ7144-4-44-200-424-22-4−4i−4i4i4i-2002-22−2i22i20000i2i2−i2−i200002i2i−2i−2i000000000−2i22i2i2i2−i2−i2000000000−22220022−2−20000000000000000000000000
χ7244-4-44-200-424-22-4−4i−4i4i4i-2002-222i2−2i20000−i2−i2i2i200002i2i−2i−2i0000000002i2−2i2−i2−i2i2i200000000022−2200−2−2220000000000000000000000000
χ7344-4-4-24002-4-24-420000-2002-22−2i22i20000−2i2−2i22i22i2004-40000000000000i2−i2i2i2−i2−i20000000-2200−2i22i200000000000000000000i2−i20000000
χ7444-4-4-24002-4-24-420000-2002-22−2i22i20000−2i2−2i22i22i200-440000000000000i2−i2i2i2−i2−i200000002-2002i2−2i200000000000000000000−i2i20000000
χ7544-4-4-24002-4-24-420000-2002-222i2−2i200002i22i2−2i2−2i2004-40000000000000−i2i2−i2−i2i2i20000000-22002i2−2i200000000000000000000−i2i20000000
χ7644-4-4-24002-4-24-420000-2002-222i2−2i200002i22i2−2i2−2i200-440000000000000−i2i2−i2−i2i2i200000002-200−2i22i200000000000000000000i2−i20000000
χ774-44-44-2-44-4-2-42244-44-4-200-22200-2-4420000-4400-22-220000000-22000000000002-200000000000000000000000000000000000
χ784-44-44-2-44-4-2-4224-44-44-200-22200-2-44200004-4002-22-20000000-2200000000000-2200000000000000000000000000000000000
χ794-44-4-244-4242-4-4-20000-24i−4i-22200-4-2240000000000000−2i2i4i−4i002-2000000000000000000000000−2i2i0000000000000000000000
χ804-44-4-244-4242-4-4-20000-2−4i4i-22200-4-22400000000000002i−2i−4i4i002-20000000000000000000000002i−2i0000000000000000000000
χ814-44-4-24-44242-4-4-20000-200-2220042-2-40000000000000000000-220000004i−4i0000000000000000000000000000−2i2i0000000000
χ824-44-4-24-44242-4-4-20000-200-2220042-2-40000000000000000000-22000000−4i4i00000000000000000000000000002i−2i0000000000
χ834-44-4-2-24-42-2222-2000014i−4i1-1-1002-22-2−2i32i3−2i32i3000000000−2i2i−2i2i23−23-1100i3−i3i3−i3000000000000000000i−i−3300000000000000000000
χ844-44-4-2-24-42-2222-2000014i−4i1-1-1002-22-22i3−2i32i3−2i3000000000−2i2i−2i2i−2323-1100−i3i3−i3i3000000000000000000i−i3−300000000000000000000
χ854-44-4-2-24-42-2222-200001−4i4i1-1-1002-22-2−2i32i3−2i32i30000000002i−2i2i−2i−2323-1100i3−i3i3−i3000000000000000000−ii3−300000000000000000000
χ864-44-4-2-24-42-2222-200001−4i4i1-1-1002-22-22i3−2i32i3−2i30000000002i−2i2i−2i23−23-1100−i3i3−i3i3000000000000000000−ii−3300000000000000000000
χ874-4-4444004-4-4-44-44i−4i−4i4i400-4-44000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ884-4-4444004-4-4-44-4−4i4i4i−4i400-4-4400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ894-4-444-20042-42-2-44i−4i−4i4i-20022-20000006−6−660000−2i2i2i−2i000000000006−6−660000000000000i6−i6−i6i60000000000000000000000000
χ904-4-444-20042-42-2-44i−4i−4i4i-20022-2000000−666−60000−2i2i2i−2i00000000000−666−60000000000000−i6i6i6−i60000000000000000000000000
χ914-4-444-20042-42-2-4−4i4i4i−4i-20022-20000006−6−6600002i−2i−2i2i000000000006−6−660000000000000−i6i6i6−i60000000000000000000000000
χ924-4-444-20042-42-2-4−4i4i4i−4i-20022-2000000−666−600002i−2i−2i2i00000000000−666−60000000000000i6−i6−i6i60000000000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400002002220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-4-40044-4-4440000200-22-2−4i24i200002i22i2−2i2−2i2000000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ9588-8-8-4-40044-4-4440000200-22-24i2−4i20000−2i2−2i22i22i200000000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ968-88-8-4-4-884-4444-400002002-2-200-44-4400000000000000000002-2000000000000000000000000000000000000000000000000
χ978-8-88-4800-4-84-8840000-40044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-400-4444-440000200-2-2200000026−26−26260000000000000000000−666−6000000000000000000000000000000000000000000
χ998-8-88-4-400-4444-440000200-2-22000000−262626−2600000000000000000006−6−66000000000000000000000000000000000000000000

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