Finite Group Databasebeta

← Group #11780102

Character table — Group #11780102

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222222444444444444444888888812121212121212121212121212121616161616161616162424242424242424242424242436364848727272
order12223344446666663466612121212121212121212121212121212124488882424242424242424412121212121212122446688121224242424221212488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-111111-1-1
χ511111111111111111111111111111111111111-1-1111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1
χ611111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-1-1
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-111
χ92222222-22-22222222-2222222-2-2-2-2-2-22-222-2-2-2-222000000000000000000000-200-2-2002200000000000
χ102222222-22-22222222-2222222-2-2-2-2-2-22-222-2-2-2-2-2-20000000000000000000002002200-2-200000000000
χ11222222-22-222222222-2222-2-2-22222-2-2-2-2-2-2-2-2220000000000000000000000000000000000002200-200
χ12222222-22-222222222-2222-2-2-22222-2-2-2-2-2-2-2-222000000000000000000000000000000000000-2-200200
χ13222222-2-2-2-222222222222-2-2-2-2-2-2-222-22-2-222-2-20000000000000000000000002-20000000000002-2000
χ14222222-2-2-2-222222222222-2-2-2-2-2-2-222-22-2-222-2-2000000000000000000000000-22000000000000-22000
χ1522222-1222222-1-1-12-12-1-1-122-1-1-12222-1-1-1-1-1-1-1-1220000000000002-1-122-1-1-1-1200-1-122-1-1-1-1-1-10000000
χ1622222-1222222-1-1-12-12-1-1-122-1-1-12222-1-1-1-1-1-1-1-122000000000000-211-2-21111200-1-1-2-2-1-111110000000
χ1722222-1222222-1-1-12-12-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-2-20000000000002-1-122-1-1-1-1-20011-2-21111110000000
χ1822222-1222222-1-1-12-12-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-2-2000000000000-211-2-21111-200112211-1-1-1-10000000
χ1922222-12-22-222-1-1-12-1-2-1-1-122-111-2-2-2-2-11-1-11111220000000000000−i3i300−i3−i3i3i3-2001100-1-1−i3−i3i3i30000000
χ2022222-12-22-222-1-1-12-1-2-1-1-122-111-2-2-2-2-11-1-11111220000000000000i3−i300i3i3−i3−i3-2001100-1-1i3i3−i3−i30000000
χ2122222-12-22-222-1-1-12-1-2-1-1-122-111-2-2-2-2-11-1-11111-2-20000000000000−i3i300−i3−i3i3i3200-1-10011i3i3−i3−i30000000
χ2222222-12-22-222-1-1-12-1-2-1-1-122-111-2-2-2-2-11-1-11111-2-20000000000000i3−i300i3i3−i3−i3200-1-10011−i3−i3i3i30000000
χ232222-122222-1-1222-1-12-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1022000000000000-1-1000
χ242222-122222-1-1222-1-12-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1-2-2-21111110-2-200000000000011000
χ252222-122222-1-1222-1-12-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-100-2-2-2-211111111222-1-1-1-1-1-10-2-200000000000011000
χ262222-122222-1-1222-1-12-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-100-2-2-2-211111111-2-2-2111111022000000000000-1-1000
χ272222-12-2-2-2-2-1-1222-1-12-1-1-111-2-2-211-1-1-2211-1-111000000−i3−i3−i3−i3i3i3i3i3000−i3i3−i3i3−i3i302-2000000000000-11000
χ282222-12-2-2-2-2-1-1222-1-12-1-1-111-2-2-211-1-1-2211-1-111000000−i3−i3−i3−i3i3i3i3i3000i3−i3i3−i3i3−i30-220000000000001-1000
χ292222-12-2-2-2-2-1-1222-1-12-1-1-111-2-2-211-1-1-2211-1-111000000i3i3i3i3−i3−i3−i3−i3000−i3i3−i3i3−i3i30-220000000000001-1000
χ302222-12-2-2-2-2-1-1222-1-12-1-1-111-2-2-211-1-1-2211-1-111000000i3i3i3i3−i3−i3−i3−i3000i3−i3i3−i3i3−i302-2000000000000-11000
χ312-22-222-20202-22-2-2-2202-2-22-2-2000000202-200002i−2i22−2−222−2−222−2−200000000000000002i−2i000000000−i2i2
χ322-22-222-20202-22-2-2-2202-2-22-2-2000000202-200002i−2i−2−222−2−222−2−22200000000000000002i−2i000000000i2−i2
χ332-22-222-20202-22-2-2-2202-2-22-2-2000000202-20000−2i2i22−2−222−2−222−2−20000000000000000−2i2i000000000i2−i2
χ342-22-222-20202-22-2-2-2202-2-22-2-2000000202-20000−2i2i−2−222−2−222−2−2220000000000000000−2i2i000000000−i2i2
χ352-2-22220-202-2-2-2-22220-2-220002-22-2000000002-2002−22−22−22−22−22−2000000000000002−2002−22−22-200000
χ362-2-22220-202-2-2-2-22220-2-220002-22-2000000002-2002−22−22−22−22−22−200000000000000−2200−22−22-2200000
χ372-2-22220-202-2-2-2-22220-2-220002-22-2000000002-200−22−22−22−22−22−22000000000000002−2002−22−2-2200000
χ382-2-22220-202-2-2-2-22220-2-220002-22-2000000002-200−22−22−22−22−22−2200000000000000−2200−22−222-200000
χ3944444-2-44-4444-2-2-24-2-4-2-2-2-4-42-2-244-4-4222222-2-20000000000000000000000000000000000000000000
χ4044444-2-4-4-4-444-2-2-24-24-2-2-2-4-4222-4-4442-222-2-2220000000000000000000000000000000000000000000
χ414444-244-44-4-2-2444-2-2-4-2-2-2-2-24-4-422224-4-2-222220000000000000000000000000000000000000000000
χ424444-24-44-44-2-2444-2-2-4-2-2-222-444-2-222-4-42222-2-20000000000000000000000000000000000000000000
χ434444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2-2111111000000000000004-2-2-2-2111100000000000000000000
χ444444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2-211111100000000000000-42222-1-1-1-100000000000000000000
χ454444-2-24-44-4-2-2-2-2-2-21-4111-2-2-2222222-2211-1-1-1-1000000000000000−2i32i300i3i3−i3−i300000000000000000000
χ464444-2-24-44-4-2-2-2-2-2-21-4111-2-2-2222222-2211-1-1-1-10000000000000002i3−2i300−i3−i3i3i300000000000000000000
χ474444-2-2-44-44-2-2-2-2-2-21-4111222-2-2-2-22222-1-1-1-11100000000000000000003-3-3300000000000000000000
χ484444-2-2-44-44-2-2-2-2-2-21-4111222-2-2-2-22222-1-1-1-1110000000000000000000-333-300000000000000000000
χ494444-2-2-4-4-4-4-2-2-2-2-2-2141112222222-2-22-2-1-111-1-100000000000000000−2i32i3i3−i3i3−i300000000000000000000
χ504444-2-2-4-4-4-4-2-2-2-2-2-2141112222222-2-22-2-1-111-1-1000000000000000002i3−2i3−i3i3−i3i300000000000000000000
χ5144-4-4440000-44-44-4-440-44-400000000000000000002-2-222-2-222-2-2200000000000000000000000000000
χ5244-4-4440000-44-44-4-440-44-40000000000000000000-222-2-222-2-222-200000000000000000000000000000
χ5344-4-4-2400002-2-44-42-202-220000000−2i32i30000−2i32i300002-2-22−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i300000000000000000000000000000
χ5444-4-4-2400002-2-44-42-202-220000000−2i32i30000−2i32i30000-222-21+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i300000000000000000000000000000
χ5544-4-4-2400002-2-44-42-202-2200000002i3−2i300002i3−2i300002-2-22−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i300000000000000000000000000000
χ5644-4-4-2400002-2-44-42-202-2200000002i3−2i300002i3−2i30000-222-21−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i300000000000000000000000000000
χ574-44-44440-404-44-4-4-4404-4-4-444000000-40-4400000000000000000000000000000000000000000000000
χ584-44-44-240-404-4-222-4-20-222-44-2000000202-2000000000000000000000000000000−2i32i3000000000000000
χ594-44-44-240-404-4-222-4-20-222-44-2000000202-20000000000000000000000000000002i3−2i3000000000000000
χ604-44-44-2-40404-4-222-4-20-2224-42000000-20-2200004i−4i0000000000000000000000000000−2i2i00000000000
χ614-44-44-2-40404-4-222-4-20-2224-42000000-20-220000−4i4i00000000000000000000000000002i−2i00000000000
χ624-44-4-2440-40-224-4-42-20-2222-24000000-402-20000000000i6i6−i6−i6−i6−i6i6i600000000000000000000000000000
χ634-44-4-2440-40-224-4-42-20-2222-24000000-402-20000000000−i6−i6i6i6i6i6−i6−i600000000000000000000000000000
χ644-44-4-24-4040-224-4-42-20-222-22-400000040-220000002222−22−22−2−222−2−22200000000000000000000000000000
χ654-44-4-24-4040-224-4-42-20-222-22-400000040-22000000−22−22222222−2−222−2−200000000000000000000000000000
χ664-4-4444040-4-4-4-4-44440-4-44000-44-4400000000-440000000000000000000000000000000000000000000
χ674-4-444-2040-4-4-422-24-2022-20002-2-44000000002-200000000000000000000000000000000i6−i6−i6i60000000
χ684-4-444-2040-4-4-422-24-2022-20002-2-44000000002-200000000000000000000000000000000−i6i6i6−i60000000
χ694-4-444-20-404-4-422-24-2022-2000-224-400000000-22000000000000000000000000000022−2200−22−220000000
χ704-4-444-20-404-4-422-24-2022-2000-224-400000000-220000000000000000000000000000−2222002−22−20000000
χ714-4-44-24040-422-4-44-2-2022-2000-442-2000000002-2000000i6−i6i6−i6−i6i6−i6i600000000000000000000000000000
χ724-4-44-24040-422-4-44-2-2022-2000-442-2000000002-2000000−i6i6−i6i6i6−i6i6−i600000000000000000000000000000
χ734-4-44-240-40422-4-44-2-2022-20004-4-2200000000-220022−2222−22−22−22−22−2200000000000000000000000000000
χ744-4-44-240-40422-4-44-2-2022-20004-4-2200000000-2200−2222−22222−22−22−22−200000000000000000000000000000
χ7588-8-88-40000-884-44-8-404-44000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400004-44-44420-22-20000000−4i34i300002i3−2i3000000000000000000000000000000000000000000000
χ7788-8-8-4-400004-44-44420-22-200000004i3−4i30000−2i32i3000000000000000000000000000000000000000000000
χ788-88-8-4-480-80-44-4444202-2-24-4-400000040-2200000000000000000000000000000000000000000000000
χ798-88-8-4-4-8080-44-4444202-2-2-444000000-402-200000000000000000000000000000000000000000000000
χ808-8-88-4-4080-84444-4-420-2-220004-44-400000000-220000000000000000000000000000000000000000000
χ818-8-88-4-40-8084444-4-420-2-22000-44-44000000002-20000000000000000000000000000000000000000000

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