Finite Group Databasebeta

← Group #11872300

Character table — Group #11872300

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order12223344666666223666881212121246666121224242424242424242444444412121212661212121244442468812121212122424242444886122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-11-11-11-111-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-11-11-11-1-111-1-111-1-1-1-1-11-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-11-1-111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-111-111
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-1111-11
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-111-1-1-1-1-1111111-1-111-1
χ911111111111111-1-11111111111-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1
χ1011111111111111-1-11111111111-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-111-1-1-111
χ1111111111111111-1-11111111111-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-11111-1-11-11
χ1211111111111111-1-11111111111-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1
χ1311111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111
χ1411111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-1-1-111-1-11111111-1-1
χ1511111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-11111-1-111-1-11111-11-1
χ1611111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-111-111111111-1-1-1-1-1-11
χ17222222-2-222222200222200-2-2-2-200000-2-2000000002-2002-200-2-2-2-2000000-2-222002002000000000000000
χ18222222-2-222222200222200-2-2-2-200000-2-2000000002-200-2200-2-22200000022-2-200200-2000000000000000
χ19222222-2-222222200222200-2-2-2-200000-2-200000000-22002-20022-2-200000022-2-200-2002000000000000000
χ20222222-2-222222200222200-2-2-2-200000-2-200000000-2200-22002222000000-2-22200-200-2000000000000000
χ2122222-122-12-12-1222-1-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-122220000-1-100-1-1-12-1-1000020-1020-1-100-1-1000000-100
χ2222222-122-12-12-1222-1-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-2-2-2-200001100-1-1-12-1-10000-2010-20110011000000100
χ2322222-122-12-12-1222-1-1-1-1-2-22-1-12-222-1-1-1-111-2-2111122220000-1-100-1-11-2110000-20-10-20-1-10011000000100
χ2422222-122-12-12-1222-1-1-1-1-2-22-1-12-222-1-1-1-111-2-21111-2-2-2-200001100-1-11-21100002010201100-1-1000000-100
χ2522222-122-12-12-12-2-2-1-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-122-2-20000-1-100111-2110000-20-10201100-1-1000000100
χ2622222-122-12-12-12-2-2-1-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-1-2-22200001100111-21100002010-20-1-10011000000-100
χ2722222-122-12-12-12-2-2-1-1-1-1-2-22-1-122-2-211-1-111-2-2111122-2-20000-1-10011-12-1-1000020-10-20110011000000-100
χ2822222-122-12-12-12-2-2-1-1-1-1-2-22-1-122-2-211-1-111-2-21111-2-2220000110011-12-1-10000-201020-1-100-1-1000000100
χ292222-12222-12-12-122-1-1-1-122-122-12-1-122-1-122-1-1-1-1-1-10000222200-1-1-1-12-1-1-1000002020-100-1-100-1-100000-10
χ302222-12222-12-12-122-1-1-1-122-122-12-1-122-1-122-1-1-1-1-1-10000-2-2-2-20011-1-12-1-1-100000-20-201001100110000010
χ312222-12222-12-12-122-1-1-1-1-2-2-122-1-2-1-122-1-1-2-21111110000222200-1-1-1-1-211100000-20-20-100-1-100110000010
χ322222-12222-12-12-122-1-1-1-1-2-2-122-1-2-1-122-1-1-2-21111110000-2-2-2-20011-1-1-21110000020201001100-1-100000-10
χ332222-12222-12-12-1-2-2-1-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-1000022-2-200-1-111-211100000-2020-1001100-1-10000010
χ342222-12222-12-12-1-2-2-1-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-10000-2-222001111-21110000020-20100-1-1001100000-10
χ352222-12222-12-12-1-2-2-1-1-1-1-2-2-122-1211-2-2-1-1-2-2111111000022-2-200-1-1112-1-1-10000020-20-10011001100000-10
χ362222-12222-12-12-1-2-2-1-1-1-1-2-2-122-1211-2-2-1-1-2-21111110000-2-2220011112-1-1-100000-2020100-1-100-1-10000010
χ3722-2-2222-2-22-2-22-2002-22-200-22-2200000-2200000000002-2002i−2i00000000002i−2i2i−2i0000002-22i−2i00000000000
χ3822-2-2222-2-22-2-22-2002-22-200-22-2200000-2200000000002-200−2i2i0000000000−2i2i−2i2i0000002-2−2i2i00000000000
χ3922-2-2222-2-22-2-22-2002-22-200-22-2200000-220000000000-22002i−2i0000000000−2i2i−2i2i000000-222i−2i00000000000
χ4022-2-2222-2-22-2-22-2002-22-200-22-2200000-220000000000-2200−2i2i00000000002i−2i2i−2i000000-22−2i2i00000000000
χ4122-2-222-22-22-2-22-22-22-22-2002-22-202-22-22-2000000000000000000002-200002i−2i−2i2i000000000000002i−2i00000
χ4222-2-222-22-22-2-22-22-22-22-2002-22-202-22-22-2000000000000000000002-20000−2i2i2i−2i00000000000000−2i2i00000
χ4322-2-222-22-22-2-22-2-222-22-2002-22-20-22-222-200000000000000000000-2200002i−2i−2i2i00000000000000−2i2i00000
χ4422-2-222-22-22-2-22-2-222-22-2002-22-20-22-222-200000000000000000000-220000−2i2i2i−2i000000000000002i−2i00000
χ4544444-2-4-4-24-24-2400-2-2-2-200-422-40000022000000004-40000002200000000000000-2000000000000000000
χ4644444-2-4-4-24-24-2400-2-2-2-200-422-4000002200000000-44000000-2-2000000000000002000000000000000000
χ474444-24-4-44-24-24-200-2-2-2-2002-4-4200000220000000000004-4000022000000000000000-2000000000000000
χ484444-24-4-44-24-24-200-2-2-2-2002-4-420000022000000000000-440000-2-20000000000000002000000000000000
χ494444-2-244-2-2-2-2-2-244111144-2-2-2-24-2-2-2-211-2-2-2-2111100000000000011-2-2110000000000000000000000000
χ504444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-10000000000001122-1-10000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-4222211-2-2-2-21111000000000000-1-122-1-10000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-242222112222-1-1-1-1000000000000-1-1-2-2110000000000000000000000000
χ5344-4-44-24-4242-4-2-400-22-2200-4-224000002-200000000004-4000000000000000000000000-220000000000000
χ5444-4-44-24-4242-4-2-400-22-2200-4-224000002-20000000000-440000000000000000000000002-20000000000000
χ5544-4-44-2-44242-4-2-44-4-22-220042-2-404-4-22-2200000000000000000000-2200000000000000000000000000000
χ5644-4-44-2-44242-4-2-4-44-22-220042-2-40-442-2-22000000000000000000002-200000000000000000000000000000
χ5744-4-4-244-4-4-2-424200-22-220024-4-2000002-2000000000000004i−4i0000000000000000000000−2i2i00000000000
χ5844-4-4-244-4-4-2-424200-22-220024-4-2000002-200000000000000−4i4i00000000000000000000002i−2i00000000000
χ5944-4-4-24-44-4-2-42424-4-22-2200-2-4420-224-4-2200000000000000000000-2200000000000000000000000000000
χ6044-4-4-24-44-4-2-4242-44-22-2200-2-44202-2-44-22000000000000000000002-200000000000000000000000000000
χ6144-4-4-2-2-442-222-224-41-11-100-22-220-22-221-100003i3i−3i−3i0000000000001-1003i−3i0000000000000000000000000
χ6244-4-4-2-2-442-222-224-41-11-100-22-220-22-221-10000−3i−3i3i3i0000000000001-100−3i3i0000000000000000000000000
χ6344-4-4-2-2-442-222-22-441-11-100-22-2202-22-21-100003i3i−3i−3i000000000000-1100−3i3i0000000000000000000000000
χ6444-4-4-2-2-442-222-22-441-11-100-22-2202-22-21-10000−3i−3i3i3i000000000000-11003i−3i0000000000000000000000000
χ654-44-444004-4-44-4-40044-4-4−2i22i200000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000000
χ664-44-444004-4-44-4-40044-4-42i2−2i2000000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000000
χ674-44-44-200-2-4242-400-2-222−2i22i200000000000i2−i2−2i22i2i2−i2i2−i20000000023−230000000000000000000000i6−i6000000000
χ684-44-44-200-2-4242-400-2-222−2i22i200000000000i2−i2−2i22i2i2−i2i2−i200000000−23230000000000000000000000−i6i6000000000
χ694-44-44-200-2-4242-400-2-2222i2−2i200000000000−i2i22i2−2i2−i2i2−i2i20000000023−230000000000000000000000−i6i6000000000
χ704-44-44-200-2-4242-400-2-2222i2−2i200000000000−i2i22i2−2i2−i2i2−i2i200000000−23230000000000000000000000i6−i6000000000
χ714-44-4-240042-4-2-4200-2-222−2i22i200000000000−2i22i2i2−i2i2−i2i2−i2000000000023−230000000000000000000000i6−i60000000
χ724-44-4-240042-4-2-4200-2-222−2i22i200000000000−2i22i2i2−i2i2−i2i2−i20000000000−23230000000000000000000000−i6i60000000
χ734-44-4-240042-4-2-4200-2-2222i2−2i2000000000002i2−2i2−i2i2−i2i2−i2i2000000000023−230000000000000000000000−i6i60000000
χ744-44-4-240042-4-2-4200-2-2222i2−2i2000000000002i2−2i2−i2i2−i2i2−i2i20000000000−23230000000000000000000000i6−i60000000
χ754-4-444400-4-44-4-44004-4-440000000000000000000000000000000000000000000000000000000000022−22000
χ764-4-444400-4-44-4-44004-4-4400000000000000000000000000000000000000000000000000000000000−2222000
χ778888-4-4-8-8-4-4-4-4-4-400222200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-8-4-48-84-444-44002-22-2004-44-400000-22000000000000000000000000000000000000000000000000000
χ798-88-8-4-400-444-4440022-2-2−4i24i2000000000002i2−2i22i2−2i2−i2i2−i2i20000000000000000000000000000000000000000000
χ808-88-8-4-400-444-4440022-2-24i2−4i200000000000−2i22i2−2i22i2i2−i2i2−i20000000000000000000000000000000000000000000
χ818-8-888-4004-8-4-84800-444-40000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-4800-8484-8-400-444-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-444-4002-2-220000000000000000032−32−32320000000000000000000000000000000000000000000
χ848-8-88-4-40044-444-4002-2-2200000000000000000−323232−320000000000000000000000000000000000000000000

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