Finite Group Databasebeta

← Group #11887318

Character table — Group #11887318

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444446666888888888888888812121212121212121212121212121616161616161818181818182424242424242424242424243648487272
order122233446666663666881212121244444412121212121224242424242424242224448888121212121212121212122288882466612121224242424461244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111111111111-1-11-1-111111111-1-1-1-1-1-1111111-1-1-1-11-1-1111111-1-1-1-1
χ311111111111111111111111111-1-11111111111111111-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1111-1-1-11-1-111-1-11-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-11-111
χ5111111111111111111111111-1-11111111111111111111-1-1-11111-1-111-1-1111111-1-1-1-1-1-11-1-1-1111-111-1-1-11-1-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-11111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1111-1-111-1-1-1-1-11-1-11111-1-1-1-11-111-1
χ10111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-11111-1-1-1-11-1111-1-11-1-1-1-111-1-11
χ11111111111111111111-1-1111111-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1111-1-1-1-1111111-1-1-1-1-1111-1-1-111-11
χ12111111111111111111-1-1111111-1-1-11-1-11111-1-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-111-1-11111-1-111-111111-1-1-1-1-11-1
χ13111111111111111111-1-11111-1-1111-111-1-111-1-1-1-1-1-1-1-1111-111-1-11111-1-1-1111-1-1-1-11111-1-111111-1-1-111-1-1-1-11
χ14111111111111111111-1-11111-1-111-11-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-11-1-1-111-1-1111111-1-11-1-1-1-1-111-1111-1
χ15111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1111-1-111-1-1-1-11-111-1-1-1-1111111-11-1
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-1-1-11-1-1-111-111111-11-11
χ17222222-2-2222222222200-2-2-2-22222000000-2-200000000-200-200000022220000002200000000-200-20000-20000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-200000000200-2000000-2-222000000-2-200000000200-2000020000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-200000000-200200000022-2-2000000-2-200000000-2002000020000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-2000000002002000000-2-2-2-2000000220000000020020000-20000
χ2122222-1222-1-1-122-1-1-1-1222-1-12002222-1-122-1-1-1-122-1-1-1-12000222200-1-100-12-1-1-1-10000002000-1-1-10-1-1000-1000
χ2222222-1222-1-1-122-1-1-1-1222-1-120022-2-211-2-2-1-1-1-122-1-1-1-12000-2-22200-1-1001-21111000000-2000-1110-1-10001000
χ2322222-1222-1-1-122-1-1-1-1222-1-1200-2-222-1-122-1-1-1-122-1-1-1-1-2000-2-2-2-2001100-12-1-1-1-1000000-20001110110001000
χ2422222-1222-1-1-122-1-1-1-1222-1-1200-2-2-2-211-2-2-1-1-1-122-1-1-1-1-200022-2-20011001-2111100000020001-1-1011000-1000
χ2522222-1222-1-1-122-1-1-1-1-2-22-1-1200222-2-1-1-2-2-1-111-2-21111200022-2-200-1-10012-1-111000000-2000-1-1-10110001000
χ2622222-1222-1-1-122-1-1-1-1-2-22-1-120022-221122-1-111-2-211112000-2-2-2-200-1-100-1-211-1-10000002000-111011000-1000
χ2722222-1222-1-1-122-1-1-1-1-2-22-1-1200-2-22-2-1-1-2-2-1-111-2-21111-2000-2-22200110012-1-11100000020001110-1-1000-1000
χ2822222-1222-1-1-122-1-1-1-1-2-22-1-1200-2-2-221122-1-111-2-21111-20002222001100-1-211-1-1000000-20001-1-10-1-10001000
χ292222-1222-1222-1-1-1-1-1-122-122-122002222-1-1-1-122-1-1-1-1-1-1022200002200-1-12-1-1-1-1-100000002-1-1000-100-1-100-100
χ302222-1222-1222-1-1-1-1-1-122-122-12200-2-2-2-211-1-122-1-1-1-1-1-10-2-2200002200-1-1-2111110000000-211000-100-1-100100
χ312222-1222-1222-1-1-1-1-1-122-122-1-2-2002222-1-1-1-122-1-1-1-1-1-10-2-2-20000-2-200112-1-1-1-1-10000000-2110001001100100
χ322222-1222-1222-1-1-1-1-1-122-122-1-2-200-2-2-2-211-1-122-1-1-1-1-1-1022-20000-2-20011-21111100000002-1-10001001100-100
χ332222-1222-1222-1-1-1-1-1-1-2-2-122-122002-22211-1-1-2-21111110-2-220000-2-200-1-1-2-1-1-1110000000211000-1001100-100
χ342222-1222-1222-1-1-1-1-1-1-2-2-122-12200-22-2-2-1-1-1-1-2-211111102220000-2-200-1-12111-1-10000000-2-1-1000-1001100100
χ352222-1222-1222-1-1-1-1-1-1-2-2-122-1-2-2002-22211-1-1-2-2111111022-20000220011-2-1-1-1110000000-2-1-1000100-1-100100
χ362222-1222-1222-1-1-1-1-1-1-2-2-122-1-2-200-22-2-2-1-1-1-1-2-21111110-2-2-200002200112111-1-10000000211000100-1-100-100
χ372-22-22200-2-2-22-2222-2-22−200002i−2i2i−2i000000002−22−222−2−2000000−i2i2−i2i22i−2i2i−2i0000002-222−2−200000000−i2i2−i2i200000
χ382-22-22200-2-2-22-2222-2-22−200002i−2i−2i2i000000002−22−222−2−2000000i2−i2−i2i2−2i2i2i−2i000000-22−2−22200000000i2−i2−i2i200000
χ392-22-22200-2-2-22-2222-2-22−20000−2i2i2i−2i000000002−22−222−2−2000000−i2i2i2−i22i−2i−2i2i000000-22−2−22200000000−i2i2i2−i200000
χ402-22-22200-2-2-22-2222-2-22−20000−2i2i−2i2i000000002−22−222−2−2000000i2−i2i2−i2−2i2i−2i2i0000002-222−2−200000000i2−i2i2−i200000
χ412-22-22200-2-2-22-2222-2-2−2200002i−2i2i−2i00000000−22−22−2−222000000i2−i2i2−i22i−2i2i−2i0000002-2−2−22200000000i2−i2i2−i200000
χ422-22-22200-2-2-22-2222-2-2−2200002i−2i−2i2i00000000−22−22−2−222000000−i2i2i2−i2−2i2i2i−2i000000-2222−2−200000000−i2i2i2−i200000
χ432-22-22200-2-2-22-2222-2-2−220000−2i2i2i−2i00000000−22−22−2−222000000i2−i2−i2i22i−2i−2i2i000000-2222−2−200000000i2−i2−i2i200000
χ442-22-22200-2-2-22-2222-2-2−220000−2i2i−2i2i00000000−22−22−2−222000000−i2i2−i2i2−2i2i−2i2i0000002-2−2−22200000000−i2i2−i2i200000
χ452-2-22222-222-2-2-2-22-22-2002-22-200000000002-20000000002-202i−2i00000000000000002i−2i2i−2i002-202i−2i0000000000
χ462-2-22222-222-2-2-2-22-22-2002-22-200000000002-20000000002-20−2i2i0000000000000000−2i2i−2i2i002-20−2i2i0000000000
χ472-2-22222-222-2-2-2-22-22-2002-22-200000000002-2000000000-2202i−2i0000000000000000−2i2i−2i2i00-2202i−2i0000000000
χ482-2-22222-222-2-2-2-22-22-2002-22-200000000002-2000000000-220−2i2i00000000000000002i−2i2i−2i00-220−2i2i0000000000
χ4944444-2-4-44-2-2-244-2-2-2-200-422-400440000002200000000-4000000000-2-20000000000000000002000000000000
χ5044444-2-4-44-2-2-244-2-2-2-200-422-400-4-40000002200000000400000000022000000000000000000-2000000000000
χ514444-24-4-4-2444-2-2-2-2-2-2002-4-4244000000002200000000000-400000000-2-200000000000000000002000000000
χ524444-24-4-4-2444-2-2-2-2-2-2002-4-42-4-4000000002200000000000400000000220000000000000000000-2000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-2111100000000000000-2-2111100000000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-211110000000000000022-1-1-1-100000000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-1000000000000002-211-1-100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-100000000000000-22-1-11100000000000000000000000
χ5744-4-44400-4-44-44-44-4-44000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ5844-4-44400-4-44-44-44-4-440000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ594-44-44-200-422-2-44-2-22222−220000004i−4i00000000−2222−22−2−222000000−2i22i200−2i2i0000000000000000000000i2−i20000000
χ604-44-44-200-422-2-44-2-22222−22000000−4i4i00000000−2222−22−2−2220000002i2−2i2002i−2i0000000000000000000000−i2i20000000
χ614-44-44-200-422-2-44-2-222−22220000004i−4i000000002−2−222222−2−20000002i2−2i200−2i2i0000000000000000000000−i2i20000000
χ624-44-44-200-422-2-44-2-222−2222000000−4i4i000000002−2−222222−2−2000000−2i22i2002i−2i0000000000000000000000i2−i20000000
χ634-44-4-24002-4-442-2-2-22222−2200004i−4i000000000022−22−22−2−22200000000−2i22i200−2i2i0000000000000000000000i2−i200000
χ644-44-4-24002-4-442-2-2-22222−220000−4i4i000000000022−22−22−2−222000000002i2−2i2002i−2i0000000000000000000000−i2i200000
χ654-44-4-24002-4-442-2-2-222−222200004i−4i0000000000−22222−222−2−2000000002i2−2i200−2i2i0000000000000000000000−i2i200000
χ664-44-4-24002-4-442-2-2-222−22220000−4i4i0000000000−22222−222−2−200000000−2i22i2002i−2i0000000000000000000000i2−i200000
χ674-4-4444-4444-4-4-4-44-44-400-44-440000000000-44000000000000000000000000000000000000000000000000000
χ684-4-444-24-44-222-4-4-22-220042-2-40000000000-220000000000004i−4i0000000000000000000000000−2i2i0000000000
χ694-4-444-24-44-222-4-4-22-220042-2-40000000000-22000000000000−4i4i00000000000000000000000002i−2i0000000000
χ704-4-444-2-444-222-4-4-22-2200-4-22400000023−23002-200000000000000000000000023−230000000000000000000000000
χ714-4-444-2-444-222-4-4-22-2200-4-224000000−2323002-2000000000000000000000000−23230000000000000000000000000
χ724-4-44-244-4-24-4-422-22-2200-2-4420000000000-220000000004-40000000000000000000000000-220000000000000
χ734-4-44-244-4-24-4-422-22-2200-2-4420000000000-22000000000-4400000000000000000000000002-20000000000000
χ744-4-44-24-44-24-4-422-22-220024-4-20000000023−232-20000000000000000000000000023−2300000000000000000000000
χ754-4-44-24-44-24-4-422-22-220024-4-200000000−23232-200000000000000000000000000−232300000000000000000000000
χ764-4-44-2-2-44-2-222221-11-1002-22-200000023−2323−23-1100003-33-30000000000000000−33−3300000000000000000000000
χ774-4-44-2-2-44-2-222221-11-1002-22-200000023−23−2323-110000-33-330000000000000000−333−300000000000000000000000
χ784-4-44-2-2-44-2-222221-11-1002-22-2000000−232323−23-110000-33-3300000000000000003−3−3300000000000000000000000
χ794-4-44-2-2-44-2-222221-11-1002-22-2000000−2323−2323-1100003-33-300000000000000003−33−300000000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000000
χ8188-8-88-400-84-448-8-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-48004-88-8-44-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-4-40044-44-442-2-22000000000000000000000032−32−32320000000000000000000000000000000000000000000
χ8488-8-8-4-40044-44-442-2-220000000000000000000000−323232−320000000000000000000000000000000000000000000
χ858-88-8-4-400444-44-422-2-242−420000000000000000−2222−222222−2−20000000000000000000000000000000000000000000
χ868-88-8-4-400444-44-422-2-2−4242000000000000000022−2222−22−2−2220000000000000000000000000000000000000000000
χ878-8-88-4-48-8-4-444442-22-200-44-4400000000002-2000000000000000000000000000000000000000000000000000

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