Finite Group Databasebeta

← Group #11882336

Character table — Group #11882336

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444448888888888121212121212121216161616161616161818181818182424242424242424242424242424242424242424367272
order122233444466666634666121212121212121222121212121212121288888888666666662244442444661212121212122424242424242424444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1
χ611111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111
χ711111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-111
χ811111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-1
χ91111111-1-111111111-11111-1-11-1-1111-1-1-111-1-1-1-111-1-111-1-11-11-111-1-11111-1-11-1-1111-1-111-1-111-1-111-1-1-11-1
χ101111111-1-111111111-11111-1-11-1-1111-1-1-111-1-1-1-111-1-1-1-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-11111-1-1-1-1111-11
χ111111111-1-111111111-11111-1-11-1-1111-1-1-111-1-1-1-1-1-11111-1-11-11-111-1-1-1-1-1-111-11-11-1-11111-1-1-1-11111-1-11-11
χ121111111-1-111111111-11111-1-11-1-1111-1-1-111-1-1-1-1-1-111-1-1111-11-111-1-11111-1-1-111-1-1-111-1-111-1-111-1-111-11-1
χ131111111-1-111111111-11111-1-11-1-111-11-1-111-1-1-1-111-1-111-1-1-11-11-1-1111111-1-1-111-1-1-111-1-11111-1-111-1-1-1-11
χ141111111-1-111111111-11111-1-11-1-111-11-1-111-1-1-1-111-1-1-1-111-11-11-1-111-1-1-1-111-11-11-1-11111-1-111-1-1-1-11111-1
χ151111111-1-111111111-11111-1-11-1-111-11-1-111-1-1-1-1-1-11111-1-1-11-11-1-111-1-1-1-1111-11-111-1-1-1-111-1-11111-1-111-1
χ161111111-1-111111111-11111-1-11-1-111-11-1-111-1-1-1-1-1-111-1-111-11-11-1-1111111-1-11-1-1111-1-111-1-1-1-111-1-111-1-11
χ17222222-222-22222222-2222-222-222-2-200-2-2-2-222-2-2000000000000000022-2-2-2-200000000000000000000200
χ18222222-222-22222222-2222-222-222-2-200-2-2-2-222-2-20000000000000000-2-2222200000000000000000000-200
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022-2-2-2-222000000000000000022-2-22200000000000000000000-200
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022-2-2-2-2220000000000000000-2-222-2-200000000000000000000200
χ2122222-122222-1-122-1-12-1-1-1-1222-1-1-1222-12-1-1-1-1-1-12222000022-1-1-1-1-1-10000002200-1-1-1-10000-1-1-1-10000000
χ2222222-122222-1-122-1-12-1-1-1-1222-1-1-1222-12-1-1-1-1-1-1-2-2-2-2000022-1-1-1-1-1-1000000-2-2001111000011110000000
χ2322222-122222-1-122-1-12-1-1-1-1222-1-1-12-2-2-12-1-1-1-1-1-122220000-2-2111111000000-2-20011110000-1-1-1-10000000
χ2422222-122222-1-122-1-12-1-1-1-1222-1-1-12-2-2-12-1-1-1-1-1-1-2-2-2-20000-2-21111110000002200-1-1-1-1000011110000000
χ2522222-12-2-222-1-122-1-1-2-1-1-1-1-2-2211-122-21-2-1-1111122-2-200002-2-11-1-1110000002-200-1-1110000-1-1110000000
χ2622222-12-2-222-1-122-1-1-2-1-1-1-1-2-2211-122-21-2-1-11111-2-22200002-2-11-1-111000000-220011-1-1000011-1-10000000
χ2722222-12-2-222-1-122-1-1-2-1-1-1-1-2-2211-12-221-2-1-1111122-2-20000-221-111-1-1000000-220011-1-10000-1-1110000000
χ2822222-12-2-222-1-122-1-1-2-1-1-1-1-2-2211-12-221-2-1-11111-2-2220000-221-111-1-10000002-200-1-111000011-1-10000000
χ292222-122222-122-1-12-12-1-1-12-1-1-1222-1222-1-1-1-1-1-1-100002222-1-122-1-1-1-100000000220000-1-1-1-10000-1-1-1-1000
χ302222-122222-122-1-12-12-1-1-12-1-1-1222-1222-1-1-1-1-1-1-10000-2-2-2-2-1-122-1-1-1-100000000-2-20000111100001111000
χ312222-122222-122-1-12-12-1-1-12-1-1-1222-1-2-22-1-1-1-1-1-1-10000222211-2-2111100000000-2-2000011110000-1-1-1-1000
χ322222-122222-122-1-12-12-1-1-12-1-1-1222-1-2-22-1-1-1-1-1-1-10000-2-2-2-211-2-2111100000000220000-1-1-1-100001111000
χ332222-122-2-22-122-1-12-1-2-1-1-1211-1-2-22-12-2-21-1-11111000022-2-2-112-2-1-11100000000-220000-1-1110000-1-111000
χ342222-122-2-22-122-1-12-1-2-1-1-1211-1-2-22-12-2-21-1-111110000-2-222-112-2-1-111000000002-2000011-1-1000011-1-1000
χ352222-122-2-22-122-1-12-1-2-1-1-1211-1-2-22-1-22-21-1-11111000022-2-21-1-2211-1-1000000002-2000011-1-10000-1-111000
χ362222-122-2-22-122-1-12-1-2-1-1-1211-1-2-22-1-22-21-1-111110000-2-2221-1-2211-1-100000000-220000-1-111000011-1-1000
χ3722-2-22202-202-2-2-2-22202-2-202-202-2000000002-2002−22−2−i2i2−i2i200000000002i−2i2i−2i0000000000002−22−2−i2i2−i2i2000
χ3822-2-22202-202-2-2-2-22202-2-202-202-2000000002-2002−22−2i2−i2i2−i20000000000−2i2i−2i2i0000000000002−22−2i2−i2i2−i2000
χ3922-2-22202-202-2-2-2-22202-2-202-202-2000000002-200−22−22−i2i2−i2i20000000000−2i2i−2i2i000000000000−22−22−i2i2−i2i2000
χ4022-2-22202-202-2-2-2-22202-2-202-202-2000000002-200−22−22i2−i2i2−i200000000002i−2i2i−2i000000000000−22−22i2−i2i2−i2000
χ4122-2-2220-2202-2-2-2-22202-2-20-220-2200000000-22002−2−22−i2i2i2−i200000000002i−2i−2i2i0000000000002−2−22−i2i2i2−i2000
χ4222-2-2220-2202-2-2-2-22202-2-20-220-2200000000-22002−2−22i2−i2−i2i20000000000−2i2i2i−2i0000000000002−2−22i2−i2−i2i2000
χ4322-2-2220-2202-2-2-2-22202-2-20-220-2200000000-2200−222−2−i2i2i2−i20000000000−2i2i2i−2i000000000000−222−2−i2i2i2−i2000
χ4422-2-2220-2202-2-2-2-22202-2-20-220-2200000000-2200−222−2i2−i2−i2i200000000002i−2i−2i2i000000000000−222−2i2−i2−i2i2000
χ4544444-2-444-44-2-244-2-2-4-2-2-2244-4-2-22-4002-422-2-222000000000000000000000000000000000000000000000
χ4644444-2-4-4-4-44-2-244-2-24-2-2-22-4-4-4222-400-242222-2-2000000000000000000000000000000000000000000000
χ474444-24-444-4-244-2-24-2-4-2-2-2-4-2-2244-4200-4222-2-222000000000000000000000000000000000000000000000
χ484444-24-4-4-4-4-244-2-24-24-2-2-2-4222-4-4-42004-22222-2-2000000000000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-244-2-211111100000000-2-2-2-2111100000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-4-2-2111111000000002222-1-1-1-100000000000000000000000000000
χ514444-2-24-4-44-2-2-2-2-2-21-4111-222-222-2-24-42211-1-1-1-100000000-22-2211-1-100000000000000000000000000000
χ524444-2-24-4-44-2-2-2-2-2-21-4111-222-222-2-2-442211-1-1-1-1000000002-22-2-1-11100000000000000000000000000000
χ534444-2-2-444-4-2-2-2-2-2-21-41112-2-22-2-2220022-1-111-1-10000000000003-33-300000000000000000000000000000
χ544444-2-2-444-4-2-2-2-2-2-21-41112-2-22-2-2220022-1-111-1-1000000000000-33-3300000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2-1-1-1-1110000000000003-3-3300000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2-1-1-1-111000000000000-333-300000000000000000000000000000
χ5744-4-44-204-40422-4-4-2-20-22204-40-2200000000-220022−2222−22000000000000000000000000000000−22−220000000
χ5844-4-44-204-40422-4-4-2-20-22204-40-2200000000-2200−2222−22220000000000000000000000000000002−22−20000000
χ5944-4-44-20-440422-4-4-2-20-2220-4402-2000000002-20022−22−2222000000000000000000000000000000−222−20000000
χ6044-4-44-20-440422-4-4-2-20-2220-4402-2000000002-200−222222−220000000000000000000000000000002−2−220000000
χ6144-4-4-2404-40-2-4-4224-20-2220-2204-400000000-22000000−2i22i2−2i22i2000000000000000000000000000000i2−i2i2−i2000
χ6244-4-4-2404-40-2-4-4224-20-2220-2204-400000000-220000002i2−2i22i2−2i2000000000000000000000000000000−i2i2−i2i2000
χ6344-4-4-240-440-2-4-4224-20-22202-20-44000000002-2000000−2i22i22i2−2i2000000000000000000000000000000i2−i2−i2i2000
χ6444-4-4-240-440-2-4-4224-20-22202-20-44000000002-20000002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i2000
χ654-44-444400-4-44-44-4-440-44-4400400-4-400004-40000000000000000000000000000000000000000000000000
χ664-44-444-4004-44-44-4-440-44-4-400-400440000-440000000000000000000000000000000000000000000000000
χ674-44-44-2400-4-4-224-42-202-22-2004002-40000-220000000000000000000000000000000023−23000000000000000
χ684-44-44-2400-4-4-224-42-202-22-2004002-40000-2200000000000000000000000000000000−2323000000000000000
χ694-44-44-2-4004-4-224-42-202-22200-400-2400002-2000000000000000000000000000000−2i32i300000000000000000
χ704-44-44-2-4004-4-224-42-202-22200-400-2400002-20000000000000000000000000000002i3−2i300000000000000000
χ714-44-4-24400-424-4-22-4-202-22400-200-420000-22000000000000000000000000000000000023−230000000000000
χ724-44-4-24400-424-4-22-4-202-22400-200-420000-220000000000000000000000000000000000−23230000000000000
χ734-44-4-24-400424-4-22-4-202-22-4002004-200002-2000000000000000000000000000000000000−2i32i300000000000
χ744-44-4-24-400424-4-22-4-202-22-4002004-200002-20000000000000000000000000000000000002i3−2i300000000000
χ754-4-44440000-4-44-44-440-4-4400000000000000000000000000000000004-4000000000000000000000000000
χ764-4-44440000-4-44-44-440-4-440000000000000000000000000000000000-44000000000000000000000000000
χ7788-8-8-4-408-80-44444-4202-2-20-440-44000000002-200000000000000000000000000000000000000000000000
χ7888-8-8-4-40-880-44444-4202-2-204-404-400000000-2200000000000000000000000000000000000000000000000
χ798-88-8-4-4800-84-44-44420-22-2-400-4004400002-20000000000000000000000000000000000000000000000000
χ808-88-8-4-4-80084-44-44420-22-2400400-4-40000-220000000000000000000000000000000000000000000000000
χ818-8-888-40000-84-4-884-4044-4000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-4800004-884-4-8-4044-4000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4000044-44-4420-2-2200000000000000006-6000000000000000000000000000000000000000000000
χ848-8-88-4-4000044-44-4420-2-220000000000000000-66000000000000000000000000000000000000000000000

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