Finite Group Databasebeta

← Group #11870601

Character table — Group #11870601

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order122233444466666622234466612121212121212121212121266666666666612121212121212121212444488888888444424442424242424242424444446121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-1-111
χ511111111111111111-1-11-1-11111111111111111-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ611111111111111111-1-11-1-11111111111111111-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111
χ711111111111111111-1-11-1-11111111111111111-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-11111-1-111
χ811111111111111111-1-11-1-11111111111111111-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-11111-1111111-1-1
χ9111111-1-111111111-1111-1-1111-1-1-1-1-1-1-1-11111-111-111-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-11-1-1111-1-111-1-1-111-1-11-11-1
χ10111111-1-111111111-1111-1-1111-1-1-1-1-1-1-1-11111-111-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-111-1-1-111-1-111-111-1-1-11-11
χ11111111-1-111111111-1111-1-1111-1-1-1-1-1-1-1-11111-111-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-1111-1-1111-1-11
χ12111111-1-111111111-1111-1-1111-1-1-1-1-1-1-1-11111-111-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-11-1-111-111-1
χ13111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-111-111-1-111-1-1-1-1-111-11-11
χ14111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-11111-1-11-1-11-1-111-1-111-1-1-1111-11-1
χ15111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-111111-1-1-111-1
χ16111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1111-1-11-1-11
χ1722222222-2-2222222-20020022222222222-2-2-2-2-200-200-2-200000000-2-20000222200000000-2-222000000000000-200000000
χ1822222222-2-2222222-20020022222222222-2-2-2-2-200-200-2-200000000-2-20000-2-2-2-20000000022-2-2000000000000200000000
χ19222222-2-2-2-2222222200200222-2-2-2-2-2-2-2-2-2-2-2-22002002200000000-2-20000222200000000-2-2-2-2000000000000200000000
χ20222222-2-2-2-2222222200200222-2-2-2-2-2-2-2-2-2-2-2-22002002200000000-2-20000-2-2-2-2000000002222000000000000-200000000
χ2122222-122222-1-12-12222-122-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100002222000000002020-1-1-1-1000000000-1-100
χ2222222-122222-1-12-12222-122-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200000000-20-2011110000000001100
χ2322222-122222-1-12-122-2-2-1-2-2-1-1-1-1-122-1-1-1-1-1-1222-2-2-111-1-1111111-2-2-1-111110000222200000000-20-20-1-1-1-10000000001100
χ2422222-122222-1-12-122-2-2-1-2-2-1-1-1-1-122-1-1-1-1-1-1222-2-2-111-1-1111111-2-2-1-111110000-2-2-2-20000000020201111000000000-1-100
χ2522222-1-2-2222-1-12-12-222-1-2-2-1-1-111-2-21111-1-122-2221-1-111-1-1-1-111-2-2-1-11111000022-2-20000000020-20-1-111000000000-1100
χ2622222-1-2-2222-1-12-12-222-1-2-2-1-1-111-2-21111-1-122-2221-1-111-1-1-1-111-2-2-1-111110000-2-22200000000-202011-1-10000000001-100
χ2722222-1-2-2222-1-12-12-2-2-2-122-1-1-111-2-21111-1-122-2-2-2111111111-1-122-1-1-1-1-1-1000022-2-200000000-2020-1-1110000000001-100
χ2822222-1-2-2222-1-12-12-2-2-2-122-1-1-111-2-21111-1-122-2-2-2111111111-1-122-1-1-1-1-1-10000-2-2220000000020-2011-1-1000000000-1100
χ292222-122222-122-12-1222-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000002222000002020000-1-1-1-10000000-1-1
χ302222-122222-122-12-1222-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000-2-2-2-200000-20-200001111000000011
χ312222-122222-122-12-12-2-2-1-2-2-1-1-122-1-1-1-1-1-122-1-1-1112-2-2-1-11111-2-211-1-1111100000000222200000-20-20000-1-1-1-1000000011
χ322222-122222-122-12-12-2-2-1-2-2-1-1-122-1-1-1-1-1-122-1-1-1112-2-2-1-11111-2-211-1-1111100000000-2-2-2-200000202000011110000000-1-1
χ332222-12-2-222-122-12-1-222-1-2-2-1-1-1-2-211111122-1-11-1-1-22211-1-1-1-1-2-211-1-111110000000022-2-200000-2020000-1-1110000000-11
χ342222-12-2-222-122-12-1-222-1-2-2-1-1-1-2-211111122-1-11-1-1-22211-1-1-1-1-2-211-1-1111100000000-2-2220000020-2000011-1-100000001-1
χ352222-12-2-222-122-12-1-2-2-2-122-1-1-1-2-211111122-1-1111-2-2-211111122-1-1-1-1-1-1-1-10000000022-2-20000020-20000-1-11100000001-1
χ362222-12-2-222-122-12-1-2-2-2-122-1-1-1-2-211111122-1-1111-2-2-211111122-1-1-1-1-1-1-1-100000000-2-22200000-202000011-1-10000000-11
χ3722-2-222002-2-2-22-2-2200022-2-2-22000000002-22-20000000000002-22-22-222-2-22i2i−2i−2i000000002i−2i000000000000000002i−2i0000
χ3822-2-222002-2-2-22-2-2200022-2-2-22000000002-22-20000000000002-22-22-222-2-2−2i−2i2i2i00000000−2i2i00000000000000000−2i2i0000
χ3922-2-222002-2-2-22-2-220002-22-2-22000000002-22-2000000000000-22-222-2-2-2222i2i−2i−2i000000002i−2i00000000000000000−2i2i0000
χ4022-2-222002-2-2-22-2-220002-22-2-22000000002-22-2000000000000-22-222-2-2-222−2i−2i2i2i00000000−2i2i000000000000000002i−2i0000
χ4122-2-22200-22-2-22-2-2202-2200-2-2200000000-22-2202-202-20022-2-20000-2200002i2i−2i−2i00000000−2i2i0000000000000002i−2i000000
χ4222-2-22200-22-2-22-2-2202-2200-2-2200000000-22-2202-202-20022-2-20000-220000−2i−2i2i2i000000002i−2i000000000000000−2i2i000000
χ4322-2-22200-22-2-22-2-220-22200-2-2200000000-22-220-220-2200-2-2220000-2200002i2i−2i−2i00000000−2i2i000000000000000−2i2i000000
χ4422-2-22200-22-2-22-2-220-22200-2-2200000000-22-220-220-2200-2-2220000-220000−2i−2i2i2i000000002i−2i0000000000000002i−2i000000
χ452-22-2222i−2i00-22-22-2-20002002-2-22i−2i2i−2i2i2i−2i−2i000000000000000000000000002-22-22−2i2−i22−2i2−i2002i−2i00002−2i2−i22−2i2−i2000000000
χ462-22-2222i−2i00-22-22-2-20002002-2-22i−2i2i−2i2i2i−2i−2i000000000000000000000000002-22-2−22−i2i2−22−i2i2002i−2i0000−22−i2i2−22−i2i2000000000
χ472-22-2222i−2i00-22-22-2-20002002-2-22i−2i2i−2i2i2i−2i−2i00000000000000000000000000-22-222−2i2−i2−22−i2i200−2i2i00002−2i2−i2−22−i2i2000000000
χ482-22-2222i−2i00-22-22-2-20002002-2-22i−2i2i−2i2i2i−2i−2i00000000000000000000000000-22-22−22−i2i22−2i2−i200−2i2i0000−22−i2i22−2i2−i2000000000
χ492-22-222−2i2i00-22-22-2-20002002-2-2−2i2i−2i2i−2i−2i2i2i000000000000000000000000002-22-22−2−i2i22−2−i2i200−2i2i00002−2−i2i22−2−i2i2000000000
χ502-22-222−2i2i00-22-22-2-20002002-2-2−2i2i−2i2i−2i−2i2i2i000000000000000000000000002-22-2−22i2−i2−22i2−i200−2i2i0000−22i2−i2−22i2−i2000000000
χ512-22-222−2i2i00-22-22-2-20002002-2-2−2i2i−2i2i−2i−2i2i2i00000000000000000000000000-22-222−2−i2i2−22i2−i2002i−2i00002−2−i2i2−22i2−i2000000000
χ522-22-222−2i2i00-22-22-2-20002002-2-2−2i2i−2i2i−2i−2i2i2i00000000000000000000000000-22-22−22i2−i22−2−i2i2002i−2i0000−22i2−i22−2−i2i2000000000
χ5344444-244-4-44-2-24-24-400-200-2-2-2-2-244-2-2-2-222-4-4-40020022000000002200000000000000000000000000000000000000000
χ5444444-2-4-4-4-44-2-24-24400-200-2-2-222-4-4222222-4-4400-200-2-2000000002200000000000000000000000000000000000000000
χ554444-2444-4-4-244-24-2-400-200-2-2-244-2-2-2-2-2-2-4-422200-40022000000002200000000000000000000000000000000000000000
χ564444-24-4-4-4-4-244-24-2400-200-2-2-2-4-4222222-4-422-200400-2-2000000002200000000000000000000000000000000000000000
χ574444-2-24444-2-2-2-2-2-2444144111-2-2-2-21111-2-2-2-2-2-2-2-2-2-2111111-2-2-2-21111110000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-24-4-41-4-4111-2-2-2-21111-2-2-2-2-222-22211-1-1-1-1222211-1-1-1-10000000000000000000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-2-400100111-2-2-2-211112222200200-1-13-33-30000-1-13-33-30000000000000000000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-2-400100111-2-2-2-211112222200200-1-1-33-330000-1-1-33-330000000000000000000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-2-4441-4-41112222-1-1-1-1-2-2-2-22-2-22-2-2-1-11111222211-1-1-1-10000000000000000000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-2-4-4-41441112222-1-1-1-1-2-2-2-2222222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-24001001112222-1-1-1-12222-200-200113-33-30000-1-1-33-330000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-24001001112222-1-1-1-12222-200-20011-33-330000-1-13-33-30000000000000000000000000000000000000
χ6544-4-44-2004-4-42-2-424000-24-422-200000000-224-4000000000000-224-4-22-2-2220000000000000000000000000000000000000
χ6644-4-44-2004-4-42-2-424000-2-4422-200000000-224-40000000000002-2-44-2222-2-20000000000000000000000000000000000000
χ6744-4-44-200-44-42-2-42404-4-20022-2000000002-2-4404-40-2200-2-22200002-200000000000000000000000000000000000000000
χ6844-4-44-200-44-42-2-4240-44-20022-2000000002-2-440-4402-20022-2-200002-200000000000000000000000000000000000000000
χ6944-4-4-24004-42-442-4-2000-24-422-2000000004-4-220000000000004-4-22-22-2-2220000000000000000000000000000000000000
χ7044-4-4-24004-42-442-4-2000-2-4422-2000000004-4-22000000000000-442-2-2222-2-20000000000000000000000000000000000000
χ7144-4-4-2400-442-442-4-204-4-20022-200000000-442-20-2204-400-2-22200002-200000000000000000000000000000000000000000
χ7244-4-4-2400-442-442-4-20-44-20022-200000000-442-202-20-440022-2-200002-200000000000000000000000000000000000000000
χ7344-4-4-2-2004-422-222-200014-4-1-1100003-33-3-22-220000003-33-3-33-22-221-111-1-10000000000000000000000000000000000000
χ7444-4-4-2-2004-422-222-200014-4-1-110000-33-33-22-22000000-33-333-3-22-221-111-1-10000000000000000000000000000000000000
χ7544-4-4-2-2004-422-222-20001-44-1-1100003-33-3-22-220000003-3-333-32-22-21-1-1-1110000000000000000000000000000000000000
χ7644-4-4-2-2004-422-222-20001-44-1-110000-33-33-22-22000000-333-3-332-22-21-1-1-1110000000000000000000000000000000000000
χ7744-4-4-2-200-4422-222-204-4100-1-1100003-33-32-22-20-220-22-3311-1-10000-113-3-330000000000000000000000000000000000000
χ7844-4-4-2-200-4422-222-204-4100-1-110000-33-332-22-20-220-223-311-1-10000-11-333-30000000000000000000000000000000000000
χ7944-4-4-2-200-4422-222-20-44100-1-1100003-33-32-22-202-202-2-33-1-1110000-11-333-30000000000000000000000000000000000000
χ8044-4-4-2-200-4422-222-20-44100-1-110000-33-332-22-202-202-23-3-1-1110000-113-3-330000000000000000000000000000000000000
χ814-44-44-24i−4i00-4-2242-4000-200-222−2i2i4i−4i−2i−2i2i2i00000000000000000000000000000022−222i2−2i2000000000000−22−i2i20000000000000
χ824-44-44-24i−4i00-4-2242-4000-200-222−2i2i4i−4i−2i−2i2i2i000000000000000000000000000000−2222−2i22i20000000000002−2i2−i20000000000000
χ834-44-44-2−4i4i00-4-2242-4000-200-2222i−2i−4i4i2i2i−2i−2i00000000000000000000000000000022−22−2i22i2000000000000−22i2−i20000000000000
χ844-44-44-2−4i4i00-4-2242-4000-200-2222i−2i−4i4i2i2i−2i−2i000000000000000000000000000000−22222i2−2i20000000000002−2−i2i20000000000000
χ854-44-4-244i−4i0024-4-2-42000-200-2224i−4i−2i2i−2i−2i2i2i000000000000000000000000000000000022−222i2−2i2000000000000−22−i2i2000000000
χ864-44-4-244i−4i0024-4-2-42000-200-2224i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000000−2222−2i22i20000000000002−2i2−i2000000000
χ874-44-4-24−4i4i0024-4-2-42000-200-222−4i4i2i−2i2i2i−2i−2i000000000000000000000000000000000022−22−2i22i2000000000000−22i2−i2000000000
χ884-44-4-24−4i4i0024-4-2-42000-200-222−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000000000−22222i2−2i20000000000002−2−i2i2000000000
χ894-4-444400004-4-4-44-4000400-44-400000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000
χ904-4-444400004-4-4-44-4000400-44-40000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000
χ918-88-8-4-48i−8i004-44-4440002002-2-2−4i4i−4i4i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-4−8i8i004-44-4440002002-2-24i−4i4i−4i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000
χ938-8-888-40000844-8-4-8000-4004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-480000-4-8-8484000-4004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-40000-4444-44000200-22-200006i−6i−6i6i000000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-40000-4444-44000200-22-20000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000000000

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