Finite Group Databasebeta

← Group #11884129

Character table — Group #11884129

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order122233446666662236661212121222466668121224242424242424244446688121266121212122444668121212122424242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1111-1-1-1-111111111-1-1111-11-1-111-1-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111-11111-111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-11-11-111-11111-1-1-1-111-1-1-1-1-1-11
χ411111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-11-1-1111-1-11-1-1-1-111-1-11111-11-1
χ5111111111111111111111111-1-1111111111111111111-1-1-11111111111-1-111-1-1-11-111-1-111-1-1-1-1-1-1-11-1
χ6111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ7111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-111-1-1-111-11111-1-1-1-111111-1-1
χ8111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11-11-1-11-1-1-1-1111111-1-1-1-1111
χ911111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-11111-11-11-1-1-111-1-1-1-1-1-11111-1-111-1
χ1011111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-111-1-1-1-1-1111-1-111-1-1-1-1111-11
χ1111111111111111-1-11111111111-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-111-1-1-1
χ1211111111111111-1-11111111111-1-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111111-1-1-1-111-1-1-111
χ1311111111111111-1-111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111111-1-111111-1-1-111-1-1-1-1-1-111-111
χ1411111111111111-1-111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-1111-1-11111111111-1-1-1-1-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-11111111111111-1-1-11111-1-1-1-1-1-111-1-111-11-1-1-1-1-111-1-111-1-11-11
χ1611111111111111-1-111111111-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-111-1-11111-1
χ17222222-2-2222222002222-2-2-2-222000000-2-2000000002-2-22200-2-200000000000002-20000002-20000000
χ18222222-2-2222222002222-2-2-2-222000000-2-200000000-22-22200220000000000000-2-2000000-220000000
χ19222222-2-2222222002222-2-2-2-2-2-2000000-2-2000000002-22-2-200-2-2000000000000022000000-220000000
χ20222222-2-2222222002222-2-2-2-2-2-2000000-2-200000000-222-2-200220000000000000-220000002-20000000
χ2122222-122-12-1-12222-1-1-1-12-1-1222222-1-12-1-1-1-122-1-1-1-1002-1-10000-1-1-12-1-12200-1-120-100-1-100000000-100
χ2222222-122-12-1-12222-1-1-1-12-1-1222-222-1-1-2-1-111-2-21111002-1-10000-1-11-2112-200-1-1-20-1001100000000100
χ2322222-122-12-1-12222-1-1-1-12-1-12-2-2222-1-12-1-1-1-122-1-1-1-100-2110000-1-1-12-1-1-2-20011-201001100000000100
χ2422222-122-12-1-12222-1-1-1-12-1-12-2-2-222-1-1-2-1-111-2-2111100-2110000-1-11-211-22001120100-1-100000000-100
χ2522222-122-12-1-122-2-2-1-1-1-12-1-12222-2-211-2-1-111-2-21111002-1-1000011-12-1-1-220011-20-1001100000000-100
χ2622222-122-12-1-122-2-2-1-1-1-12-1-1222-2-2-2112-1-1-1-122-1-1-1-1002-1-10000111-211-2-2001120-100-1-100000000100
χ2722222-122-12-1-122-2-2-1-1-1-12-1-12-2-22-2-211-2-1-111-2-2111100-211000011-12-1-12-200-1-120100-1-100000000100
χ2822222-122-12-1-122-2-2-1-1-1-12-1-12-2-2-2-2-2112-1-1-1-122-1-1-1-100-2110000111-2112200-1-1-201001100000000-100
χ292222-12222-122-1-122-1-1-1-1-122-1002-1-1222-1-122-1-1-1-1-1-12200022-1-1-1-12-1-1-10022000-10-1-100-1-10000000-10
χ302222-12222-122-1-122-1-1-1-1-122-1002-1-1222-1-122-1-1-1-1-1-1-2-2000-2-211-1-12-1-1-100-2-200010110011000000010
χ312222-12222-122-1-122-1-1-1-1-122-100-2-1-122-2-1-1-2-211111122000-2-2-1-1-1-1-2111002-2000-10-1-10011000000010
χ322222-12222-122-1-122-1-1-1-1-122-100-2-1-122-2-1-1-2-2111111-2-20002211-1-1-211100-22000101100-1-10000000-10
χ332222-12222-122-1-1-2-2-1-1-1-1-122-100211-2-2-2-1-1-2-211111122000-2-2-1-1112-1-1-100-22000-101100110000000-10
χ342222-12222-122-1-1-2-2-1-1-1-1-122-100211-2-2-2-1-1-2-2111111-2-20002211112-1-1-1002-200010-1-100-1-1000000010
χ352222-12222-122-1-1-2-2-1-1-1-1-122-100-211-2-22-1-122-1-1-1-1-1-12200022-1-111-211100-2-2000-101100-1-1000000010
χ362222-12222-122-1-1-2-2-1-1-1-1-122-100-211-2-22-1-122-1-1-1-1-1-1-2-2000-2-21111-2111002200010-1-100110000000-10
χ372-2-2222-22-2-22-22-22-22-2-22-22-220002-22-20-22000000000000000002-20000000000000000000002-22-2000
χ382-2-2222-22-2-22-22-22-22-2-22-22-220002-22-20-22000000000000000002-2000000000000000000000-22-22000
χ392-2-2222-22-2-22-22-2-222-2-22-22-22000-22-220-2200000000000000000-220000000000000000000002-2-22000
χ402-2-2222-22-2-22-22-2-222-2-22-22-22000-22-220-2200000000000000000-22000000000000000000000-222-2000
χ4144444-2-4-4-24-2-24400-2-2-2-2-422-444000000220000000000-4-2-20000000000000000002000000000000000
χ4244444-2-4-4-24-2-24400-2-2-2-2-422-4-4-4000000220000000000422000000000000000000-2000000000000000
χ434444-24-4-44-244-2-200-2-2-2-22-4-420000000022000000004-400000220000000000000-20000000000000000
χ444444-24-4-44-244-2-200-2-2-2-22-4-42000000002200000000-4400000-2-2000000000000020000000000000000
χ454444-2-244-2-2-2-2-2-2441111-2-2-2-2004-2-2-2-2411-2-2-2-2111100000000011-2-211000000000000000000000000
χ464444-2-244-2-2-2-2-2-2441111-2-2-2-200-4-2-2-2-2-4112222-1-1-1-10000000001122-1-1000000000000000000000000
χ474444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20042222-4112222-1-1-1-1000000000-1-1-2-211000000000000000000000000
χ484444-2-244-2-2-2-2-2-2-4-41111-2-2-2-200-42222411-2-2-2-21111000000000-1-122-1-1000000000000000000000000
χ4944-4-4440044-4-4-4-40044-4-400004-400000000000000000004-40000000000000000000000000000000000
χ5044-4-4440044-4-4-4-40044-4-40000-440000000000000000000-440000000000000000000000000000000000
χ5144-4-44-200-2422-4-400-2-22200004-4000000006−60066−6−6000-220000000000000000000006−600000000000
χ5244-4-44-200-2422-4-400-2-22200004-400000000−6600−6−666000-22000000000000000000000−6600000000000
χ5344-4-44-200-2422-4-400-2-2220000-44000000006−60066−6−60002-2000000000000000000000−6600000000000
χ5444-4-44-200-2422-4-400-2-2220000-4400000000−6600−6−6660002-20000000000000000000006−600000000000
χ554-44-44400-4-4-44-44004-44-4000000000000000000000000000−2i22i2000000000000000000000−2i22i2000000000
χ564-44-44400-4-4-44-44004-44-40000000000000000000000000002i2−2i20000000000000000000002i2−2i2000000000
χ574-44-4-2400-42-442-200-22-2200000000000000006−66−66−600000−2i22i2−2i32i30000000000000000000i2−i2000000000
χ584-44-4-2400-42-442-200-22-2200000000000000006−66−66−6000002i2−2i22i3−2i30000000000000000000−i2i2000000000
χ594-44-4-2400-42-442-200-22-220000000000000000−66−66−6600000−2i22i22i3−2i30000000000000000000i2−i2000000000
χ604-44-4-2400-42-442-200-22-220000000000000000−66−66−66000002i2−2i2−2i32i30000000000000000000−i2i2000000000
χ614-4-44444-4-4-44-44-4004-4-444-44-4000000004-400000000000000000000000000000000000000000000000
χ624-4-444-24-42-4-224-400-222-242-2-400000000-22000000000000000000000000000−2i32i3000000000000000000
χ634-4-444-24-42-4-224-400-222-242-2-400000000-220000000000000000000000000002i3−2i3000000000000000000
χ644-4-444-2-442-4-224-44-4-222-2-4-2240004-4-2202-200000000000000000-220000000000000000000000000000
χ654-4-444-2-442-4-224-4-44-222-2-4-224000-442-202-2000000000000000002-20000000000000000000000000000
χ664-4-44-244-4-424-4-2200-222-2-2-44200000000-220000000000000000000000000000000023−230000000000000
χ674-4-44-244-4-424-4-2200-222-2-2-44200000000-2200000000000000000000000000000000−23230000000000000
χ684-4-44-24-44-424-4-224-4-222-224-4-2000-224-402-200000000000000000-220000000000000000000000000000
χ694-4-44-24-44-424-4-22-44-222-224-4-20002-2-4402-2000000000000000002-20000000000000000000000000000
χ704-4-44-2-2-4422-22-224-41-1-112-22-2000-22-220-1100003-3-330000000001-1003-3000000000000000000000000
χ714-4-44-2-2-4422-22-224-41-1-112-22-2000-22-220-110000-333-30000000001-100-33000000000000000000000000
χ724-4-44-2-2-4422-22-22-441-1-112-22-20002-22-20-1100003-3-33000000000-1100-33000000000000000000000000
χ734-4-44-2-2-4422-22-22-441-1-112-22-20002-22-20-110000-333-3000000000-11003-3000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-4002222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-48008-4-8-84400-4-4440000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-4-444440022-2-20000000000000026−2600−6−666000000000000000000000000000000000000000
χ7788-8-8-4-400-4-444440022-2-200000000000000−26260066−6−6000000000000000000000000000000000000000
χ788-88-88-4004-84-4-8800-44-440000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-400444-44-4002-22-2000000000000000026−26−66−66000000000000000000000000000000000000000
χ808-88-8-4-400444-44-4002-22-20000000000000000−26266−66−6000000000000000000000000000000000000000
χ818-8-88-4-48-844-44-44002-2-22-44-44000000002-200000000000000000000000000000000000000000000000

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