Finite Group Databasebeta

← Group #11882335

Character table — Group #11882335

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444448888888888121212121212121216161616161616161818181818182424242424242424242424242424242424242424367272
order12223344446666663466612121212121212122412121212121212128888888866661212121222444422446666121212122424242424242424444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11-11-111-1-111-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-1-1-1
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
χ611111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111-1-1-1-1-111
χ711111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-11111-111
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
χ91111111-1-111111111-111111-1-1-1-1111-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-11-1-1111-1-1-1-11111-1-111-1-1-1-11
χ101111111-1-111111111-111111-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111-1
χ111111111-1-111111111-111111-1-1-1-1111-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-111-1
χ121111111-1-111111111-111111-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-111-1-1-11111-1-1-1-111-1-111-1-11
χ131111111-1-111111111-111111-1-1-1-111-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-111-1-1-11111-1-111-1-111-1-1-11-1
χ141111111-1-111111111-111111-1-1-1-111-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1111-11
χ151111111-1-111111111-111111-1-1-1-111-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-11-11
χ161111111-1-111111111-111111-1-1-1-111-11-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-11-1-1111-1-1-1-111-1-111-1-111-11-1
χ17222222-222-22222222-2222-2-22222-2-200-2-222-2-2-2-2000000000000000022-2-2-2-200000000000000000000200
χ18222222-222-22222222-2222-2-22222-2-200-2-222-2-2-2-20000000000000000-2-2222200000000000000000000-200
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022-2-222-2-2000000000000000022-2-22200000000000000000000-200
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022-2-222-2-20000000000000000-2-222-2-200000000000000000000200
χ2122222-122222-12-12-1-12-1-1-12-122-1-12-1222-1-1-1-1-1-1-1000022222-1-1-12-1-1-1000000020200-1-100-1-10000-1-1-1-1000
χ2222222-122222-12-12-1-12-1-1-12-122-1-12-1222-1-1-1-1-1-1-10000-2-2-2-22-1-1-12-1-1-10000000-20-20011001100001111000
χ2322222-122222-12-12-1-12-1-1-12-122-1-12-1-2-22-1-1-1-1-1-1-100002222-2111-21110000000-20-2001100110000-1-1-1-1000
χ2422222-122222-12-12-1-12-1-1-12-122-1-12-1-2-22-1-1-1-1-1-1-10000-2-2-2-2-2111-2111000000020200-1-100-1-100001111000
χ2522222-12-2-222-12-12-1-1-2-1-1-12-1-2-2112-12-2-211111-1-1000022-2-22-1-1-1-21110000000-202001100-1-10000-1-111000
χ2622222-12-2-222-12-12-1-1-2-1-1-12-1-2-2112-12-2-211111-1-10000-2-2222-1-1-1-2111000000020-200-1-10011000011-1-1000
χ2722222-12-2-222-12-12-1-1-2-1-1-12-1-2-2112-1-22-211111-1-1000022-2-2-21112-1-1-1000000020-200-1-100110000-1-111000
χ2822222-12-2-222-12-12-1-1-2-1-1-12-1-2-2112-1-22-211111-1-10000-2-222-21112-1-1-10000000-202001100-1-1000011-1-1000
χ292222-122222-12-12-12-12-1-1-1-12-1-122-1222-12-1-1-1-1-1-122220000-12-1-1-12-1-10000002020-1-100-1-100-1-1-1-10000000
χ302222-122222-12-12-12-12-1-1-1-12-1-122-1222-12-1-1-1-1-1-1-2-2-2-20000-12-1-1-12-1-1000000-20-201100110011110000000
χ312222-122222-12-12-12-12-1-1-1-12-1-122-12-2-2-12-1-1-1-1-1-1222200001-2111-211000000-20-2011001100-1-1-1-10000000
χ322222-122222-12-12-12-12-1-1-1-12-1-122-12-2-2-12-1-1-1-1-1-1-2-2-2-200001-2111-2110000002020-1-100-1-10011110000000
χ332222-122-2-22-12-12-12-1-2-1-1-1-1211-2-2-122-21-21111-1-122-2-20000-12-1-11-21100000020-20-1-1001100-1-1110000000
χ342222-122-2-22-12-12-12-1-2-1-1-1-1211-2-2-122-21-21111-1-1-2-2220000-12-1-11-211000000-20201100-1-10011-1-10000000
χ352222-122-2-22-12-12-12-1-2-1-1-1-1211-2-2-12-221-21111-1-122-2-200001-211-12-1-1000000-20201100-1-100-1-1110000000
χ362222-122-2-22-12-12-12-1-2-1-1-1-1211-2-2-12-221-21111-1-1-2-22200001-211-12-1-100000020-20-1-100110011-1-10000000
χ372-22-22202i−2i022-2-2-2-2202-2-2002i−2i2i−2i0000002i−2i00002−2−i2i2−i2i22−200000000002i−2i2-20000000000002−2−i2i2−i2i22−2000
χ382-22-22202i−2i022-2-2-2-2202-2-2002i−2i2i−2i0000002i−2i00002−2−i2i2i2−i2−220000000000−2i2i-220000000000002−2−i2i2i2−i2−22000
χ392-22-22202i−2i022-2-2-2-2202-2-2002i−2i2i−2i0000002i−2i0000−22i2−i2−i2i22−20000000000−2i2i-22000000000000−22i2−i2−i2i22−2000
χ402-22-22202i−2i022-2-2-2-2202-2-2002i−2i2i−2i0000002i−2i0000−22i2−i2i2−i2−2200000000002i−2i2-2000000000000−22i2−i2i2−i2−22000
χ412-22-2220−2i2i022-2-2-2-2202-2-200−2i2i−2i2i000000−2i2i00002−2i2−i2−i2i2−2200000000002i−2i-220000000000002−2i2−i2−i2i2−22000
χ422-22-2220−2i2i022-2-2-2-2202-2-200−2i2i−2i2i000000−2i2i00002−2i2−i2i2−i22−20000000000−2i2i2-20000000000002−2i2−i2i2−i22−2000
χ432-22-2220−2i2i022-2-2-2-2202-2-200−2i2i−2i2i000000−2i2i0000−22−i2i2−i2i2−220000000000−2i2i2-2000000000000−22−i2i2−i2i2−22000
χ442-22-2220−2i2i022-2-2-2-2202-2-200−2i2i−2i2i000000−2i2i0000−22−i2i2i2−i22−200000000002i−2i-22000000000000−22−i2i2i2−i22−2000
χ4544444-2-444-44-24-24-2-2-4-2-2-2-4244-2-2-4200-42-2-22222000000000000000000000000000000000000000000000
χ4644444-2-4-4-4-44-24-24-2-24-2-2-2-42-4-422-42004-222-2-222000000000000000000000000000000000000000000000
χ474444-24-444-4-24-24-24-2-4-2-2-22-4-2-2442-4002-4-2-22222000000000000000000000000000000000000000000000
χ484444-24-4-4-4-4-24-24-24-24-2-2-22-422-4-42-400-2422-2-222000000000000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-244-2-211111100000000-2-211-2-21100000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-4-2-21111110000000022-1-122-1-100000000000000000000000000000
χ514444-2-24-4-44-2-2-2-2-2-21-4111-2-22222-2-24-422-1-1-1-11100000000-2-21122-1-100000000000000000000000000000
χ524444-2-24-4-44-2-2-2-2-2-21-4111-2-22222-2-2-4422-1-1-1-1110000000022-1-1-2-21100000000000000000000000000000
χ534444-2-2-444-4-2-2-2-2-2-21-411122-2-2-2-222002211-1-1-1-100000000003-3003-300000000000000000000000000000
χ544444-2-2-444-4-2-2-2-2-2-21-411122-2-2-2-222002211-1-1-1-10000000000-3300-3300000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2-1-111-1-100000000003-300-3300000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2141112222222200-2-2-1-111-1-10000000000-33003-300000000000000000000000000000
χ5744-4-444400-4-4-444-4-440-4-44440000-4-4000000004-4000000000000000000000000000000000000000000000
χ5844-4-444-4004-4-444-4-440-4-44-4-400004400000000-44000000000000000000000000000000000000000000000
χ5944-4-44-2400-4-424-2-42-2022-24-20000-4200000000-220000000000000000000000000000000023−2300000000000
χ6044-4-44-2400-4-424-2-42-2022-24-20000-4200000000-2200000000000000000000000000000000−232300000000000
χ6144-4-44-2-4004-424-2-42-2022-2-4200004-2000000002-20000000000000000000000000000−2i32i3000000000000000
χ6244-4-44-2-4004-424-2-42-2022-2-4200004-2000000002-200000000000000000000000000002i3−2i3000000000000000
χ6344-4-4-24400-42-4-242-4-2022-2-2400002-400000000-2200000000000000000000000000000023−230000000000000
χ6444-4-4-24400-42-4-242-4-2022-2-2400002-400000000-22000000000000000000000000000000−23230000000000000
χ6544-4-4-24-40042-4-242-4-2022-22-40000-24000000002-200000000000000000000000000−2i32i300000000000000000
χ6644-4-4-24-40042-4-242-4-2022-22-40000-24000000002-2000000000000000000000000002i3−2i300000000000000000
χ674-44-44-204i−4i04-2-42-42-20-222004i−4i−2i2i000000−2i2i00000000−2i22i222−22000000000000000000000000000000i2−i2−22000
χ684-44-44-204i−4i04-2-42-42-20-222004i−4i−2i2i000000−2i2i000000002i2−2i2−2222000000000000000000000000000000−i2i22−2000
χ694-44-44-20−4i4i04-2-42-42-20-22200−4i4i2i−2i0000002i−2i00000000−2i22i2−2222000000000000000000000000000000i2−i22−2000
χ704-44-44-20−4i4i04-2-42-42-20-22200−4i4i2i−2i0000002i−2i000000002i2−2i222−22000000000000000000000000000000−i2i2−22000
χ714-44-4-2404i−4i0-242-42-4-20-22200−2i2i4i−4i000000−2i2i000022−22−2i22i2000000000000000000000000000000−22i2−i20000000
χ724-44-4-2404i−4i0-242-42-4-20-22200−2i2i4i−4i000000−2i2i0000−22222i2−2i20000000000000000000000000000002−2−i2i20000000
χ734-44-4-240−4i4i0-242-42-4-20-222002i−2i−4i4i0000002i−2i000022−222i2−2i2000000000000000000000000000000−22−i2i20000000
χ744-44-4-240−4i4i0-242-42-4-20-222002i−2i−4i4i0000002i−2i0000−2222−2i22i20000000000000000000000000000002−2i2−i20000000
χ754-4-44440000-4-4-4-44440-44-400000000000000000000000000000000004-4000000000000000000000000000
χ764-4-44440000-4-4-4-44440-44-40000000000000000000000000000000000-44000000000000000000000000000
χ7788-8-8-4-4800-844-4-44420-2-22-4-4000044000000002-2000000000000000000000000000000000000000000000
χ7888-8-8-4-4-800844-4-44420-2-22440000-4-400000000-22000000000000000000000000000000000000000000000
χ798-88-8-4-408i−8i0-4-44444202-2-200−4i4i−4i4i0000002i−2i0000000000000000000000000000000000000000000000000
χ808-88-8-4-40−8i8i0-4-44444202-2-2004i−4i4i−4i000000−2i2i0000000000000000000000000000000000000000000000000
χ818-8-888-40000-84-848-4-404-44000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-4800004-84-8-48-404-44000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400004444-4-420-22-2000000000000006i−6i00000000000000000000000000000000000000000000000
χ848-8-88-4-400004444-4-420-22-200000000000000−6i6i00000000000000000000000000000000000000000000000

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