Finite Group Databasebeta

← Group #11886918

Character table — Group #11886918

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222222224444444444444446666888888888888121212121212121212121212121216161616161616242424242424242436363636484848487272
order1223344666634466661212121212121212888822661212121212121212224488242424242424242466666662266881212224466242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1111111111-11-11111111111-1-1-1-1-1-1-1-1-11-11-11-11-11-1-1-11-11-1
χ4111111111111111111111111111111-1-1-1-111111111-11-111111111111-1-1-1-1-1-1-1-1-1-11-11-11-11-11-1-1-11-11
χ511111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11-1-11-11111-1-11
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-111-11-111-111-1
χ9111111111111-1-11111-1-1-1-1111111-1-11-11111-1-1-1-1-1-111111-11111-1-1-1-1-11-111-1-11-111-1-1111-11-11-1-1-1-11
χ10111111111111-1-11111-1-1-1-1111111-1-11-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-11-111-1-11-1-1-111-1-1-11-111-1111-1
χ11111111111111-1-11111-1-1-1-1111111-1-1-11-1-111-1-1-1-1-1-11-11-11-11111-1-1-1-11-11-1-111-111-1-111-11111-11-11-1-1
χ12111111111111-1-11111-1-1-1-1111111-1-1-11-1-111-1-1-1-1-1-1-11-111-11111-1-1-1-11-11-1-111-11-111-1-11-1-1-1-1-111-111
χ13111111111111-1-11111-1-1-1-11111-1-1111-11111-1-1-1-1-1-11111-11-1-1-1-11111-11-111-1-1-1111-1-111-11-11-11-1-11-1
χ14111111111111-1-11111-1-1-1-11111-1-1111-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-11-111-1-1-11-1-111-1-11-11-1-1111-11
χ15111111111111-1-11111-1-1-1-11111-1-111-11-1-111-1-1-1-1-1-11-11-1-11-1-1-1-111111-11-1-1111-11-1-111-1-1-1-1-11-1-1111
χ16111111111111-1-11111-1-1-1-11111-1-111-11-1-111-1-1-1-1-1-1-11-11-11-1-1-1-111111-11-1-1111-1-111-1-1111111-11-1-1-1
χ172222-122-1-1-12-1222-1-1-1-1-1-1-1-1-12222222222-1-122-1-1-1-1000022-1-1-1-1-1-1-1-12-1-1-1-1-1-1220000000000-1-10000
χ182222-122-1-1-12-1222-1-1-1-1-1-1-1-1-1222222-2-2-2-2-1-122-1-1-1-1000022-1-1-1-1-1-1-1-1-2111111-2-20000000000110000
χ192222-122-1-1-12-1222-1-1-1-1-1-1-1-1-122-2-2-2-22222-1-122-1-1-1-10000-2-2111111112-1-1-1-1-1-1-2-20000000000110000
χ202222-122-1-1-12-1222-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-122-1-1-1-10000-2-211111111-2111111220000000000-1-10000
χ212222-122-1-1-12-1-2-22-1-1-11111-1-12222-2-22-222-1-1-2-2111100002-2-1-1-1-11111-2-11-1-1112-20000000000-110000
χ222222-122-1-1-12-1-2-22-1-1-11111-1-12222-2-2-22-2-2-1-1-2-2111100002-2-1-1-1-1111121-111-1-1-2200000000001-10000
χ232222-122-1-1-12-1-2-22-1-1-11111-1-122-2-2222-222-1-1-2-211110000-221111-1-1-1-1-2-11-1-111-2200000000001-10000
χ242222-122-1-1-12-1-2-22-1-1-11111-1-122-2-222-22-2-2-1-1-2-211110000-221111-1-1-1-121-111-1-12-20000000000-110000
χ25222-1222222-1-122-1-1-1-1222222-1-1000022-1-1-1-1-1-1-1-1-1-122220000000000-122-1-1-1-100-1-122-1-1000000-1-100
χ26222-1222222-1-122-1-1-1-1222222-1-1000022-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000-122-1-1-1-10011-2-2110000001100
χ27222-1222222-1-122-1-1-1-1222222-1-10000-2-211-1-1-1-1-1-1-1-12-22-200000000001-2-2111100-112-2-11000000-1100
χ28222-1222222-1-122-1-1-1-1222222-1-10000-2-211-1-1-1-1-1-1-1-1-22-2200000000001-2-21111001-1-221-10000001-100
χ29222-1222222-1-1-2-2-1-1-1-1-2-2-2-222-1-100002-2-1-1-1-11111112222000000000012-2-1-11100-1-1-2-2-1-10000001100
χ30222-1222222-1-1-2-2-1-1-1-1-2-2-2-222-1-100002-2-1-1-1-1111111-2-2-2-2000000000012-2-1-11100112211000000-1-100
χ31222-1222222-1-1-2-2-1-1-1-1-2-2-2-222-1-10000-2211-1-11111112-22-20000000000-1-2211-1-100-11-22-110000001-100
χ32222-1222222-1-1-2-2-1-1-1-1-2-2-2-222-1-10000-2211-1-1111111-22-220000000000-1-2211-1-1001-12-21-1000000-1100
χ3322-2222-22-2-22200-22-2-200002-22-2002200002-2000000020-20-2000022-2-200000000002000-2020-2000000
χ3422-2222-22-2-22200-22-2-200002-22-2002200002-20000000-2020-2000022-2-20000000000-200020-202000000
χ3522-2222-22-2-22200-22-2-200002-22-200-2-200002-2000000020-2020000-2-22200000000002000-20-202000000
χ3622-2222-22-2-22200-22-2-200002-22-200-2-200002-20000000-202020000-2-2220000000000-20002020-2000000
χ3722-222-222-2-22200-22-2-20000-22-2222000000-2200000020-20-2022-2-200000000000002000-2020-20000000
χ3822-222-222-2-22200-22-2-20000-22-2222000000-22000000-2020-2022-2-20000000000000-200020-2020000000
χ3922-222-222-2-22200-22-2-20000-22-22-2-2000000-2200000020-2020-2-22200000000000002000-20-2020000000
χ4022-222-222-2-22200-22-2-20000-22-22-2-2000000-22000000-202020-2-2220000000000000-20002020-20000000
χ4144444-4-4444440044440000-4-4-4-400000000-4-4000000000000000000000000000000000000000000000
χ424444-2-4-4-2-2-24-2004-2-2-2−2i3−2i32i32i322-4-4000000002200−2i3−2i32i32i3000000000000000000000000000000000000000
χ434444-2-4-4-2-2-24-2004-2-2-22i32i3−2i3−2i322-4-40000000022002i32i3−2i3−2i3000000000000000000000000000000000000000
χ44444-24-4-4444-2-200-2-2-2-20000-4-422000000−2i32i32200000000000000000000000−2i32i300000000000000000000
χ45444-24-4-4444-2-200-2-2-2-20000-4-4220000002i3−2i322000000000000000000000002i3−2i300000000000000000000
χ46444-2-244-2-2-2-2144-2111-2-2-2-2-2-2-2-2000044-2-211-2-2111100000000000000-2-2-21111000000000000000000
χ47444-2-244-2-2-2-2144-2111-2-2-2-2-2-2-2-20000-4-42211-2-2111100000000000000222-1-1-1-1000000000000000000
χ48444-2-244-2-2-2-21-4-4-21112222-2-2-2-200004-4-2-21122-1-1-1-1000000000000002-2211-1-1000000000000000000
χ49444-2-244-2-2-2-21-4-4-21112222-2-2-2-20000-44221122-1-1-1-100000000000000-22-2-1-111000000000000000000
χ50444-2-2-4-4-2-2-2-2100-2111−2i3−2i32i32i32222000000−2i32i3-1-100i3i3−i3−i300000000000000000i3−i33-3000000000000000000
χ51444-2-2-4-4-2-2-2-2100-2111−2i3−2i32i32i322220000002i3−2i3-1-100i3i3−i3−i300000000000000000−i3i3-33000000000000000000
χ52444-2-2-4-4-2-2-2-2100-21112i32i3−2i3−2i32222000000−2i32i3-1-100−i3−i3i3i300000000000000000i3−i3-33000000000000000000
χ53444-2-2-4-4-2-2-2-2100-21112i32i3−2i3−2i322220000002i3−2i3-1-100−i3−i3i3i300000000000000000−i3i33-3000000000000000000
χ5444-44-24-4-2224-200-4-2220000-224-400440000-2200000000000-40000-2-2220000000000000000000000000
χ5544-44-24-4-2224-200-4-2220000-224-400-4-40000-22000000000004000022-2-20000000000000000000000000
χ5644-44-2-44-2224-200-4-22200002-2-44440000002-20000000000-40-2-22200000000000000000000000000000
χ5744-44-2-44-2224-200-4-22200002-2-44-4-40000002-200000000004022-2-200000000000000000000000000000
χ5844-4-244-44-4-4-2-2002-22200004-4-2200000000-22000000040-400000000000000000000-200020000000000
χ5944-4-244-44-4-4-2-2002-22200004-4-2200000000-220000000-404000000000000000000002000-20000000000
χ6044-4-24-444-4-4-2-2002-2220000-442-2000000002-200000040-400000000000000000000-2000200000000000
χ6144-4-24-444-4-4-2-2002-2220000-442-2000000002-2000000-404000000000000000000002000-200000000000
χ624-404400-400-442-20-4002-22-2000022−2222−220000002-22-22-200000022−220022−22000000000000000000000000000
χ634-404400-400-442-20-4002-22-20000−2222−22220000002-22-22-2000000−222200−2222000000000000000000000000000
χ644-404400-400-44-220-400-22-22000022−22−2222000000-22-22-2200000022−2200−2222000000000000000000000000000
χ654-404400-400-44-220-400-22-220000−222222−22000000-22-22-22000000−22220022−22000000000000000000000000000
χ664-404-2002−2i32i3-4-22-202−2i32i3−1−i31+i3−1+i31−i3000022−2222−220000002-2−1−i31+i3−1+i31−i3000000−22i6−i6−22i6−i60000000000000000000000000
χ674-404-2002−2i32i3-4-22-202−2i32i3−1−i31+i3−1+i31−i30000−2222−22220000002-2−1−i31+i3−1+i31−i30000002−2−i6i62−2−i6i60000000000000000000000000
χ684-404-2002−2i32i3-4-2-2202−2i32i31+i3−1−i31−i3−1+i3000022−22−2222000000-221+i3−1−i31−i3−1+i3000000−22i6−i62−2−i6i60000000000000000000000000
χ694-404-2002−2i32i3-4-2-2202−2i32i31+i3−1−i31−i3−1+i30000−222222−22000000-221+i3−1−i31−i3−1+i30000002−2−i6i6−22i6−i60000000000000000000000000
χ704-404-20022i3−2i3-4-22-2022i3−2i3−1+i31−i3−1−i31+i3000022−2222−220000002-2−1+i31−i3−1−i31+i3000000−22−i6i6−22−i6i60000000000000000000000000
χ714-404-20022i3−2i3-4-22-2022i3−2i3−1+i31−i3−1−i31+i30000−2222−22220000002-2−1+i31−i3−1−i31+i30000002−2i6−i62−2i6−i60000000000000000000000000
χ724-404-20022i3−2i3-4-2-22022i3−2i31−i3−1+i31+i3−1−i3000022−22−2222000000-221−i3−1+i31+i3−1−i3000000−22−i6i62−2i6−i60000000000000000000000000
χ734-404-20022i3−2i3-4-2-22022i3−2i31−i3−1+i31+i3−1−i30000−222222−22000000-221−i3−1+i31+i3−1−i30000002−2i6−i6−22−i6i60000000000000000000000000
χ7488-8-4-48-8-444-420042-2-20000-44-44000000002-2000000000000000000000000000000000000000000000
χ7588-8-4-4-88-444-420042-2-200004-44-400000000-22000000000000000000000000000000000000000000000
χ768-80-4800-8004-44-404004-44-400000000000000-22-22-22000000000000000000000000000000000000000
χ778-80-4800-8004-4-440400-44-44000000000000002-22-22-2000000000000000000000000000000000000000
χ788-80-4-4004−4i34i3424-40-22i3−2i3−2−2i32+2i3−2+2i32−2i300000000000000-221+i3−1−i31−i3−1+i3000000000000000000000000000000000000000
χ798-80-4-4004−4i34i342-440-22i3−2i32+2i3−2−2i32−2i3−2+2i3000000000000002-2−1−i31+i3−1+i31−i3000000000000000000000000000000000000000
χ808-80-4-40044i3−4i3424-40-2−2i32i3−2+2i32−2i3−2−2i32+2i300000000000000-221−i3−1+i31+i3−1−i3000000000000000000000000000000000000000
χ818-80-4-40044i3−4i342-440-2−2i32i32−2i3−2+2i32+2i3−2−2i3000000000000002-2−1+i31−i3−1−i31+i3000000000000000000000000000000000000000

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