Finite Group Databasebeta

← Group #11889295

Character table — Group #11889295

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444668888888888888888812121212121212121212121212161616161616242424242424242424242424243636363648487272
order122233446666663666121212124444812121212121224242424242424242224444881212121212121212121224666812121224242424248861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-111111-1-1-111-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-11111-1-11111-1111-1-1-111-1-1-1111-1-1-1-111-1-1-111-1
χ41111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-111-1111-1-1111-1-1-1-1-1-1-1-111-1-11111-11
χ5111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-1-111-1-1111-111-1-1-111-1-111-1-11-1
χ6111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1111-1-111-1-111111-1-1-1111-1111-1-1-11-1-1-1-111-1-11-1-11
χ7111111111111111111111111-1-11-1-1-1-111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-11-11-1-1111-111-1-1-1-1-1-11-111
χ8111111111111111111111111-1-11-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-1-1111111111-1-1-1-1
χ91111111111111111111111-1-111111111111111111-1-1-111111111-1-11111111-1-1-1-1-1111-1-111-1-1-1-11-1-1-1
χ101111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ111111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1111-1-1-1-1-111111111-1-1-1-111-1-1-11
χ121111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1111-1-11-1-1111-1-1-1111111-1-11-11-1
χ131111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-1-111-11-1-1-1111-1111111-1-1-11-11
χ141111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-1-1-11111-1-1-11-1-1111-1-1-1-111111-1
χ151111111111111111111111-1-1-1-11-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-1-1-1-1111111-1-1
χ161111111111111111111111-1-1-1-11-1-1-1-11111111111-111-1-1111111-1-1-1-1-1-1-1-1-11-111-1-1-11-1-111-1-1-1-1-1111
χ17222222-2-22222222222-2-2-2-2220000000-2-200000000-200002-200222200000000-200000-20000-22000000
χ18222222-2-22222222222-2-2-2-2220000000-2-200000000-20000-2200-2-22200000000-200000200002-2000000
χ19222222-2-22222222222-2-2-2-2-2-20000000-2-200000000200002-20022-2-200000000200000-200002-2000000
χ20222222-2-22222222222-2-2-2-2-2-20000000-2-20000000020000-2200-2-2-2-20000000020000020000-22000000
χ2122222-122-122-1-12-1-1-1-12-1-122222222-1-1-1-1-1-122-1-1-1-122200000000-1-12-1-1-1-1-102-1-1-12000-1-10000000-100
χ2222222-122-122-1-12-1-1-1-12-1-12222-2-22211-1-111-2-211112-2-200000000-1-1-2-1-1-11102-111-2000110000000-100
χ2322222-122-122-1-12-1-1-1-12-1-1222-22-2-2-2-1-1-1-111-2-2111122200000000-1-12111-1-10-2-1-1-1-2000110000000100
χ2422222-122-122-1-12-1-1-1-12-1-1222-2-22-2-211-1-1-1-122-1-1-1-12-2-200000000-1-1-2111110-2-1112000-1-10000000100
χ2522222-122-122-1-12-1-1-1-12-1-12-2-222222-1-1-1-1-1-122-1-1-1-1-2-2-200000000112-1-1-1-1-10-2111-2000110000000100
χ2622222-122-122-1-12-1-1-1-12-1-12-2-22-2-22211-1-111-2-21111-2220000000011-2-1-1-1110-21-1-12000-1-10000000100
χ2722222-122-122-1-12-1-1-1-12-1-12-2-2-22-2-2-2-1-1-1-111-2-21111-2-2-200000000112111-1-1021112000-1-10000000-100
χ2822222-122-122-1-12-1-1-1-12-1-12-2-2-2-22-2-211-1-1-1-122-1-1-1-1-2220000000011-211111021-1-1-2000110000000-100
χ292222-12222-1-122-1-1-1-1-1-122-100222-1-122-1-122-1-1-1-1-1-1000222222-1-100-12-1-1-1-1200000-1-1-100-1-10000-1000
χ302222-12222-1-122-1-1-1-1-1-122-100222-1-122-1-122-1-1-1-1-1-1000-2-2-2-2-2-21100-12-1-1-1-1-200000111001100001000
χ312222-12222-1-122-1-1-1-1-1-122-1002-2-2-1-1-2-2-1-1-2-21111110002222-2-2-1-10012-1-111-200000-1-1-1001100001000
χ322222-12222-1-122-1-1-1-1-1-122-1002-2-2-1-1-2-2-1-1-2-2111111000-2-2-2-222110012-1-11120000011100-1-10000-1000
χ332222-12222-1-122-1-1-1-1-1-122-100-22-21122-1-1-2-211111100022-2-2221100-1-211-1-1-200000-1-1100-1-100001000
χ342222-12222-1-122-1-1-1-1-1-122-100-22-21122-1-1-2-2111111000-2-222-2-2-1-100-1-211-1-120000011-100110000-1000
χ352222-12222-1-122-1-1-1-1-1-122-100-2-2211-2-2-1-122-1-1-1-1-1-100022-2-2-2-211001-21111200000-1-1100110000-1000
χ362222-12222-1-122-1-1-1-1-1-122-100-2-2211-2-2-1-122-1-1-1-1-1-1000-2-22222-1-1001-21111-20000011-100-1-100001000
χ3722-2-2222-2-2-22-22-22-2-222-22-20000000002-20000000002-22i−2i000000000000000002-202i−2i00000002i−2i0000
χ3822-2-2222-2-2-22-22-22-2-222-22-20000000002-20000000002-2−2i2i000000000000000002-20−2i2i0000000−2i2i0000
χ3922-2-2222-2-2-22-22-22-2-222-22-20000000002-2000000000-222i−2i00000000000000000-2202i−2i0000000−2i2i0000
χ4022-2-2222-2-2-22-22-22-2-222-22-20000000002-2000000000-22−2i2i00000000000000000-220−2i2i00000002i−2i0000
χ4144444-2-4-4-244-2-24-2-2-2-2-422-44400000002200000000-40000000000-2-2000000002000000000000000000
χ4244444-2-4-4-244-2-24-2-2-2-2-422-4-4-400000002200000000400000000002200000000-2000000000000000000
χ434444-24-4-44-2-244-2-2-2-2-22-4-420000000002200000000000004-400-2-200000000000000002000000000000
χ444444-24-4-44-2-244-2-2-2-2-22-4-42000000000220000000000000-4400220000000000000000-2000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-200444-2-2-2-211-2-2-2-211110000000000000-2-21111000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-4-2-222112222-1-1-1-100000000000002-211-1-1000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-44-422-2-2112222-1-1-1-10000000000000-22-1-111000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-44222211-2-2-2-21111000000000000022-1-1-1-1000000000000000000000
χ4944-4-444-44-4-44-44-44-4-44-44-44000000000-44000000000000000000000000000000000000000000000000
χ5044-4-44-24-42-442-2-4-222-242-2-4000000000-220000000004-40000000000000000000-220000000000000000
χ5144-4-44-24-42-442-2-4-222-242-2-4000000000-22000000000-4400000000000000000002-20000000000000000
χ5244-4-44-2-442-442-2-4-222-2-4-2240000000−2i32i32-20000000000000000000000000−2i32i3000000000000000000000
χ5344-4-44-2-442-442-2-4-222-2-4-22400000002i3−2i32-200000000000000000000000002i3−2i3000000000000000000000
χ5444-4-4-244-4-42-2-442-222-2-2-442000000000-22000000000004i−4i00000000000000000000−2i2i0000000000000
χ5544-4-4-244-4-42-2-442-222-2-2-442000000000-2200000000000−4i4i000000000000000000002i−2i0000000000000
χ5644-4-4-24-44-42-2-442-222-224-4-200000−2i32i3002-200000000000000000000000−2i32i300000000000000000000000
χ5744-4-4-24-44-42-2-442-222-224-4-2000002i3−2i3002-2000000000000000000000002i3−2i300000000000000000000000
χ5844-4-4-2-2-4422-22-221-1-112-22-200000−2i32i3−2i32i3-11000033-3-3000000000000000i3−i3i3−i3000000000000000000000
χ5944-4-4-2-2-4422-22-221-1-112-22-200000−2i32i32i3−2i3-110000-3-333000000000000000i3−i3−i3i3000000000000000000000
χ6044-4-4-2-2-4422-22-221-1-112-22-2000002i3−2i3−2i32i3-110000-3-333000000000000000−i3i3i3−i3000000000000000000000
χ6144-4-4-2-2-4422-22-221-1-112-22-2000002i3−2i32i3−2i3-11000033-3-3000000000000000−i3i3−i3i3000000000000000000000
χ624-44-444004-4-4-4-4444-4-4000000000000000000000000000000−2i22i2000000000000000000000−2i22i200000000
χ634-44-444004-4-4-4-4444-4-40000000000000000000000000000002i2−2i20000000000000000000002i2−2i200000000
χ644-44-4-2400422-4-4-2-2-22200000000000000000i6−i6i6−i6i6−i60000000−2i22i223−230000000000000000000i2−i200000000
χ654-44-4-2400422-4-4-2-2-22200000000000000000i6−i6i6−i6i6−i600000002i2−2i2−23230000000000000000000−i2i200000000
χ664-44-4-2400422-4-4-2-2-22200000000000000000−i6i6−i6i6−i6i60000000−2i22i2−23230000000000000000000i2−i200000000
χ674-44-4-2400422-4-4-2-2-22200000000000000000−i6i6−i6i6−i6i600000002i2−2i223−230000000000000000000−i2i200000000
χ684-4-444400-44-44-4-44-44-400004i−4i00000000000000000000000000004i−4i000000000000000000000000000
χ694-4-444400-44-44-4-44-44-40000−4i4i0000000000000000000000000000−4i4i000000000000000000000000000
χ704-4-444-20024-4-22-4-22-2200004i−4i000000000i6−i600i6−i6−i6i600000000000−2i2i0000000000000006−60000000000
χ714-4-444-20024-4-22-4-22-2200004i−4i000000000−i6i600−i6i6i6−i600000000000−2i2i000000000000000−660000000000
χ724-4-444-20024-4-22-4-22-220000−4i4i000000000i6−i600i6−i6−i6i6000000000002i−2i000000000000000−660000000000
χ734-4-444-20024-4-22-4-22-220000−4i4i000000000−i6i600−i6i6i6−i6000000000002i−2i0000000000000006−60000000000
χ748888-4-4-8-8-4-4-4-4-4-422224444000000000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-4-48-844-44-442-2-22-44-440000000002-2000000000000000000000000000000000000000000000000
χ768-88-88-400-4-8-8448-4-444000000000000000000000000000000000000000000000000000000000000000
χ778-88-8-4-400-44444-422-2-2000000000000000002i6−2i6−i6i6−i6i60000000000000000000000000000000000000000
χ788-88-8-4-400-44444-422-2-200000000000000000−2i62i6i6−i6i6−i60000000000000000000000000000000000000000
χ798-8-88-4800-8-448-84-44-44000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-4004-44-4442-22-20000000000000002i6−2i600−i6i6i6−i60000000000000000000000000000000000000000
χ818-8-88-4-4004-44-4442-22-2000000000000000−2i62i600i6−i6−i6i60000000000000000000000000000000000000000

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