Finite Group Databasebeta

← Group #11889155

Character table — Group #11889155

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444668888888888888888812121212121212121212121212161616161616242424242424242424242424243636363648487272
order12223344666666366612121212224481212121212122424242424242424224444466881212121212121212246681212121224242424248861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-111-1111-1-1-1-11111111-1-1-111-11111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1111-1-11111-1-111-1111-1-11-111-111-1-1-1-1-1-111-1-11-11-1
χ41111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111-1-111-1-1-11-1-1-1-1-111-1-11111-11
χ5111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111-111-111111-1-11-1-1-111-1-111-11-111-1-111-1-111-1-11-1
χ6111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-1-111-11-1-1-11111-1-1-1-111-1-1-11-11
χ7111111111111111111111111-1-11-1-1-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-1-1111
χ8111111111111111111111111-1-11-1-1-1-11111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-1
χ91111111111111111111111-1-111111111111111111111-1-11-1-1-11111111111-1111-1-11-1-1-1-111-1-1-1-1-11-1-1
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
χ111111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1111-1-1-1-1111-111111-1-1-1-111-1-1-11
χ121111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1111-1-1-11-1-11-1-111111111-1-1-111-1
χ131111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11-1-1-1111-1111-1-1-1-1111111-1-11-1-11
χ141111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1111-1-1-11111-1-11-11-1-111-1-1-1-111111-1
χ151111111111111111111111-1-1-1-11-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1
χ161111111111111111111111-1-1-1-11-1-1-1-11111111111-1-11111-1-1-11111-1-1-1-1-1-11-1-1-1-1-1111-1-111-1-1-1-11-111
χ17222222-2-22222222222-2-2-2-2220000000-2-20000000000200-2-22200-2-200000000000-22000000-22000000
χ18222222-2-22222222222-2-2-2-2220000000-2-20000000000-2002-222002200000000000-2-20000002-2000000
χ19222222-2-22222222222-2-2-2-2-2-20000000-2-20000000000200-22-2-200-2-200000000000220000002-2000000
χ20222222-2-22222222222-2-2-2-2-2-20000000-2-20000000000-20022-2-20022000000000002-2000000-22000000
χ2122222-122-12-122-1-1-1-1-12-1-122222222-1-1-1-1-1-122-1-1-1-10002202-1-100002-1-1-1-1-120002-10-1-1-1-1000000-1000
χ2222222-122-12-122-1-1-1-1-12-1-12222-2-22211-1-111-2-21111000-2-202-1-10000-2-1-1-1112000-2-101111000000-1000
χ2322222-122-12-122-1-1-1-1-12-1-1222-22-2-2-2-1-1-1-111-2-211110002202-1-100002111-1-1-2000-2-10-1-1110000001000
χ2422222-122-12-122-1-1-1-1-12-1-1222-2-22-2-211-1-1-1-122-1-1-1-1000-2-202-1-10000-211111-20002-1011-1-10000001000
χ2522222-122-12-122-1-1-1-1-12-1-12-2-222222-1-1-1-1-1-122-1-1-1-1000-2-20-21100002-1-1-1-1-1-2000-21011110000001000
χ2622222-122-12-122-1-1-1-1-12-1-12-2-22-2-22211-1-111-2-21111000220-2110000-2-1-1-111-2000210-1-1-1-10000001000
χ2722222-122-12-122-1-1-1-1-12-1-12-2-2-22-2-2-2-1-1-1-111-2-21111000-2-20-21100002111-1-1200021011-1-1000000-1000
χ2822222-122-12-122-1-1-1-1-12-1-12-2-2-2-22-2-211-1-1-1-122-1-1-1-1000220-2110000-2111112000-210-1-111000000-1000
χ292222-12222-12-1-12-1-1-1-1-122-100222-1-122-1-122-1-1-1-1-1-122200200022-1-1-12-1-1-1-102-1-100-10000-1-100000-100
χ302222-12222-12-1-12-1-1-1-1-122-100222-1-122-1-122-1-1-1-1-1-1-2-2-200-2000-2-211-12-1-1-1-10-21100100001100000100
χ312222-12222-12-1-12-1-1-1-1-122-1002-2-2-1-1-2-2-1-1-2-2111111222002000-2-2-1-112-1-1110-2-1-100-100001100000100
χ322222-12222-12-1-12-1-1-1-1-122-1002-2-2-1-1-2-2-1-1-2-2111111-2-2-200-2000221112-1-11102110010000-1-100000-100
χ332222-12222-12-1-12-1-1-1-1-122-100-22-21122-1-1-2-211111122-200-20002211-1-211-1-10-2-1-10010000-1-100000100
χ342222-12222-12-1-12-1-1-1-1-122-100-22-21122-1-1-2-2111111-2-22002000-2-2-1-1-1-211-1-1021100-100001100000-100
χ352222-12222-12-1-12-1-1-1-1-122-100-2-2211-2-2-1-122-1-1-1-1-1-122-200-2000-2-2111-2111102-1-100100001100000-100
χ362222-12222-12-1-12-1-1-1-1-122-100-2-2211-2-2-1-122-1-1-1-1-1-1-2-2200200022-1-11-211110-21100-10000-1-100000100
χ372-2-22222-2-222-2-2-22-22-22-22-20000000002-2000000002-202i−2i00000000000000002-20002i−2i0000002i−2i0000
χ382-2-22222-2-222-2-2-22-22-22-22-20000000002-2000000002-20−2i2i00000000000000002-2000−2i2i000000−2i2i0000
χ392-2-22222-2-222-2-2-22-22-22-22-20000000002-200000000-2202i−2i0000000000000000-220002i−2i000000−2i2i0000
χ402-2-22222-2-222-2-2-22-22-22-22-20000000002-200000000-220−2i2i0000000000000000-22000−2i2i0000002i−2i0000
χ4144444-2-4-4-24-244-2-2-2-2-2-422-44400000002200000000000000-4-2-20000000000000002000000000000000
χ4244444-2-4-4-24-244-2-2-2-2-2-422-4-4-400000002200000000000000422000000000000000-2000000000000000
χ434444-24-4-44-24-2-24-2-2-2-22-4-42000000000220000000000400-40000022000000000000-200000000000000
χ444444-24-4-44-24-2-24-2-2-2-22-4-42000000000220000000000-400400000-2-2000000000000200000000000000
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
χ4944-4-444004-4-4-44-444-4-400000000000000000000000000000000−2i22i20000000000000000000−2i22i200000000
χ5044-4-444004-4-4-44-444-4-4000000000000000000000000000000002i2−2i200000000000000000002i2−2i200000000
χ5144-4-4-240042-42-2-4-2-22200000000000000000i6−i6i6i6−i6−i6000000000−2i22i223−2300000000000000000i2−i200000000
χ5244-4-4-240042-42-2-4-2-22200000000000000000i6−i6i6i6−i6−i60000000002i2−2i2−232300000000000000000−i2i200000000
χ5344-4-4-240042-42-2-4-2-22200000000000000000−i6i6−i6−i6i6i6000000000−2i22i2−232300000000000000000i2−i200000000
χ5444-4-4-240042-42-2-4-2-22200000000000000000−i6i6−i6−i6i6i60000000002i2−2i223−2300000000000000000−i2i200000000
χ554-44-44400-4-4-44-444-4-4400004-40000000000000000000000004-40000000000000000000000000000000
χ564-44-44400-4-4-44-444-4-440000-44000000000000000000000000-440000000000000000000000000000000
χ574-44-44-2002-424-4-2-222-200004-4000000000i6−i600i6−i6i6−i60000000-220000000000000000000i6−i60000000000
χ584-44-44-2002-424-4-2-222-200004-4000000000−i6i600−i6i6−i6i60000000-220000000000000000000−i6i60000000000
χ594-44-44-2002-424-4-2-222-20000-44000000000i6−i600i6−i6i6−i600000002-20000000000000000000−i6i60000000000
χ604-44-44-2002-424-4-2-222-20000-44000000000−i6i600−i6i6−i6i600000002-20000000000000000000i6−i60000000000
χ614-4-4444-44-444-4-4-44-44-4-44-44000000000-44000000000000000000000000000000000000000000000000
χ624-4-444-24-424-2-4-42-22-2242-2-4000000000-22000000000004i−4i000000000000000000000−2i2i000000000000
χ634-4-444-24-424-2-4-42-22-2242-2-4000000000-2200000000000−4i4i0000000000000000000002i−2i000000000000
χ644-4-444-2-4424-2-4-42-22-22-4-224000000023−232-2000000000000000000000000023−23000000000000000000000
χ654-4-444-2-4424-2-4-42-22-22-4-2240000000−23232-20000000000000000000000000−2323000000000000000000000
χ664-4-44-244-4-4-2422-4-22-22-2-442000000000-22000000004-40000000000000000000-2200000000000000000
χ674-4-44-244-4-4-2422-4-22-22-2-442000000000-2200000000-4400000000000000000002-200000000000000000
χ684-4-44-24-44-4-2422-4-22-2224-4-20000023−23002-20000000000000000000000023−2300000000000000000000000
χ694-4-44-24-44-4-2422-4-22-2224-4-200000−2323002-200000000000000000000000−232300000000000000000000000
χ704-4-44-2-2-442-2-22221-11-12-22-20000023−2323−23-1100003-3-33000000000000000−33−33000000000000000000000
χ714-4-44-2-2-442-2-22221-11-12-22-20000023−23−2323-110000-333-3000000000000000−333−3000000000000000000000
χ724-4-44-2-2-442-2-22221-11-12-22-200000−232323−23-110000-333-30000000000000003−3−33000000000000000000000
χ734-4-44-2-2-442-2-22221-11-12-22-200000−2323−2323-1100003-3-330000000000000003−33−3000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-422224444000000000-2-2000000000000000000000000000000000000000000000000
χ7588-8-88-400-4-84-884-4-444000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-4444-4422-2-2000000000000000002i6−2i6−i6−i6i6i60000000000000000000000000000000000000000
χ7788-8-8-4-400-4444-4422-2-200000000000000000−2i62i6i6i6−i6−i60000000000000000000000000000000000000000
χ788-88-8-4800-84-8-448-444-4000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-400444-44-42-2-220000000000000002i6−2i600−i6i6−i6i60000000000000000000000000000000000000000
χ808-88-8-4-400444-44-42-2-22000000000000000−2i62i600i6−i6i6−i60000000000000000000000000000000000000000
χ818-8-88-4-48-84-4-44442-22-2-44-440000000002-2000000000000000000000000000000000000000000000000

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