Finite Group Databasebeta

← Group #11785592

Character table — Group #11785592

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order12222233444466666622344666666612121212121212121212121266666666661212121212121212121288884444888812121212121212122424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ5111111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ6111111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ7111111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111
χ8111111111111111111-1-11-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ911-1-11-1111-1-11-1-111-1-11-111-111-1-1-1-111111-1-111-1-1-1-111-1-11-111-1-111-1-11-111-1-111-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-111-1-1
χ1011-1-11-1111-1-11-1-111-1-11-111-111-1-1-1-111111-1-111-1-1-1-111-1-11-111-1-111-1-11-111-1-111-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii1-111-1-1
χ1111-1-11-1111-1-11-1-111-1-11-111-111-1-1-1-111111-1-111-1-1-1-111-1-11-111-1-111-1-11-111-1-1-1-111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-11-1-111
χ1211-1-11-1111-1-11-1-111-1-11-111-111-1-1-1-111111-1-111-1-1-1-111-1-11-111-1-111-1-11-111-1-1-1-111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-11-1-111
χ1311-1-11-1111-1-11-1-111-1-1-111-1111-1-1-1-111111-1-111-1-1-1-1-1-1111-1-1-111-1-1111-1-1-11111-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii1-1-1-111
χ1411-1-11-1111-1-11-1-111-1-1-111-1111-1-1-1-111111-1-111-1-1-1-1-1-1111-1-1-111-1-1111-1-1-11111-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i1-1-1-111
χ1511-1-11-1111-1-11-1-111-1-1-111-1111-1-1-1-111111-1-111-1-1-1-1-1-1111-1-1-111-1-1111-1-1-111-1-111i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i-1111-1-1
χ1611-1-11-1111-1-11-1-111-1-1-111-1111-1-1-1-111111-1-111-1-1-1-1-1-1111-1-1-111-1-1111-1-1-111-1-111−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-1111-1-1
χ1722222222-2-2-2-2222222002002222222-2-2-2-2-2-2-2-2-2-2-2-200002200000000-2-200000000000000000000000000000000002i−2i2i−2i
χ1822222222-2-2-2-2222222002002222222-2-2-2-2-2-2-2-2-2-2-2-200002200000000-2-20000000000000000000000000000000000−2i2i−2i2i
χ192222222-122222-12-12-122-1222-12-1-1-1-122-1-12-1-1-1-1-12-12-12-1-1-1-1-1-1-12-12-1-1-1-1-1-1-10000002200220000-1-1-1-10000-1-1-1-1000000
χ202222222-122222-12-12-122-1222-12-1-1-1-122-1-12-1-1-1-1-12-12-12-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1000000-2-200-2-20000111100001111000000
χ212222222-122222-12-12-1-2-2-1-2-22-12-1-1-1-122-1-12-1-1-1-1-12-1-21-21-1-11111-21-21-1-111110000002200-2-20000-1-1-1-100001111000000
χ222222222-122222-12-12-1-2-2-1-2-22-12-1-1-1-122-1-12-1-1-1-1-12-1-21-21-1-11111-21-21-1-11111000000-2-20022000011110000-1-1-1-1000000
χ23222222-122222-12-12-1222-122-12-12-1-1-1-1-122-12-1-1-1-1-12-12-12-1-1-1-1-1-1-12-12-1-1-1-1-1-1000022002200-1-1-1-10000-1-1-1-10000000000
χ24222222-122222-12-12-1222-122-12-12-1-1-1-1-122-12-1-1-1-1-12-12-12-1-1-1-1-1-1-12-12-1-1-1-1-1-10000-2-200-2-2001111000011110000000000
χ25222222-122222-12-12-12-2-2-1-2-2-12-12-1-1-1-1-122-12-1-1-1-1-121-21-2-1-111111-21-2-1-1111100002200-2-200-1-1-1-1000011110000000000
χ26222222-122222-12-12-12-2-2-1-2-2-12-12-1-1-1-1-122-12-1-1-1-1-121-21-2-1-111111-21-2-1-111110000-2-200220011110000-1-1-1-10000000000
χ272222-2-2222-22-2222222222-2-2-2-2-2-22222-22-2-2-2-2-2-2-2222222-2-22222-2-2-2-222-2-2-2-20000000000000000000000000000000000
χ282222-2-2222-22-2222222-2-2222-2-2-2-22222-22-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-222222222220000000000000000000000000000000000
χ292222-2-222-22-2222222200200-2-2-2-2222-22-22222222-2-20000-2-200000000-2-200002222000000000000000000000000-2-20000
χ302222-2-222-22-2222222200200-2-2-2-2222-22-22222222-2-20000-2-200000000-2-20000-2-2-2-2000000000000000000000000220000
χ312222-2-22-12-22-22-12-12-122-1-2-2-21-21-1-1-12-2-11-2111112-12-12-111-1-1-1-1-21-21-1-111110000000000000000−i3i3−i3i30000−i3i3−i3i3000000
χ322222-2-22-12-22-22-12-12-122-1-2-2-21-21-1-1-12-2-11-2111112-12-12-111-1-1-1-1-21-21-1-111110000000000000000i3−i3i3−i30000i3−i3i3−i3000000
χ332222-2-22-12-22-22-12-12-1-2-2-122-21-21-1-1-12-2-11-2111112-1-21-211111112-12-1-1-1-1-1-1-10000000000000000−i3i3−i3i30000i3−i3i3−i3000000
χ342222-2-22-12-22-22-12-12-1-2-2-122-21-21-1-1-12-2-11-2111112-1-21-211111112-12-1-1-1-1-1-1-10000000000000000i3−i3i3−i30000−i3i3−i3i3000000
χ352222-2-2-122-22-2-12-12-1222-1-2-21-21-2-1-1-1-112-21-21111-12-12-1211-1-1-1-11-21-2-1-11111000000000000−i3i3−i3i30000−i3i3−i3i30000000000
χ362222-2-2-122-22-2-12-12-1222-1-2-21-21-2-1-1-1-112-21-21111-12-12-1211-1-1-1-11-21-2-1-11111000000000000i3−i3i3−i30000i3−i3i3−i30000000000
χ372222-2-2-122-22-2-12-12-12-2-2-1221-21-2-1-1-1-112-21-21111-121-21-2111111-12-12-1-1-1-1-1-1000000000000−i3i3−i3i30000i3−i3i3−i30000000000
χ382222-2-2-122-22-2-12-12-12-2-2-1221-21-2-1-1-1-112-21-21111-121-21-2111111-12-12-1-1-1-1-1-1000000000000i3−i3i3−i30000−i3i3−i3i30000000000
χ3922-2-22-222-222-2-2-222-2-20020022-2-2-2-22-2-2-2-222-2-2222200002-200000000-2200000000000000000000000000000000002i−2i−2i2i
χ4022-2-22-222-222-2-2-222-2-20020022-2-2-2-22-2-2-2-222-2-2222200002-200000000-220000000000000000000000000000000000−2i2i2i−2i
χ4122-2-22-22-12-2-22-212-1-212-2-12-22-1-2111-122-1-1-21-1-111-212-1-21-11-1-1112-1-21-11-1-1110000002i−2i002i−2i0000−i−iii0000−i−iii000000
χ4222-2-22-22-12-2-22-212-1-212-2-12-22-1-2111-122-1-1-21-1-111-212-1-21-11-1-1112-1-21-11-1-111000000−2i2i00−2i2i0000ii−i−i0000ii−i−i000000
χ4322-2-22-22-12-2-22-212-1-21-22-1-222-1-2111-122-1-1-21-1-111-21-212-1-1111-1-1-212-1-1111-1-10000002i−2i00−2i2i0000−i−iii0000ii−i−i000000
χ4422-2-22-22-12-2-22-212-1-21-22-1-222-1-2111-122-1-1-21-1-111-21-212-1-1111-1-1-212-1-1111-1-1000000−2i2i002i−2i0000ii−i−i0000−i−iii000000
χ4522-2-22-2-122-2-221-2-121-22-2-12-2-121-211-1-1-1221-2-1-1111-2-121-2-11-1-111-121-2-11-1-11100002i−2i002i−2i00−i−iii0000−i−iii0000000000
χ4622-2-22-2-122-2-221-2-121-22-2-12-2-121-211-1-1-1221-2-1-1111-2-121-2-11-1-111-121-2-11-1-1110000−2i2i00−2i2i00ii−i−i0000ii−i−i0000000000
χ4722-2-22-2-122-2-221-2-121-2-22-1-22-121-211-1-1-1221-2-1-1111-21-2-12-1111-1-11-2-12-1111-1-100002i−2i00−2i2i00−i−iii0000ii−i−i0000000000
χ4822-2-22-2-122-2-221-2-121-2-22-1-22-121-211-1-1-1221-2-1-1111-21-2-12-1111-1-11-2-12-1111-1-10000−2i2i002i−2i00ii−i−i0000−i−iii0000000000
χ4922-2-2-222222-2-2-2-222-2-22-22-22-2-222-2-222-22-222-2-222-2-222-2-2-2222-2-2-2-2222-2-2-2220000000000000000000000000000000000
χ5022-2-2-222222-2-2-2-222-2-2-2222-2-2-222-2-222-22-222-2-222-2-2-2-222-22-2-22222-2-22-222-2-20000000000000000000000000000000000
χ5122-2-2-2222-2-222-2-222-2-200200-2-222-2-22-22-22-2-222-2-2220000-2200000000-22000022-2-2000000000000000000000000-220000
χ5222-2-2-2222-2-222-2-222-2-200200-2-222-2-22-22-22-2-222-2-2220000-2200000000-220000-2-2220000000000000000000000002-20000
χ5322-2-2-222-122-2-2-212-1-212-2-1-22-212-111-12-2-112-111-1-1-212-1-211-1-1-111-212-1-1111-1-100000000000000003−3−3300003−3−33000000
χ5422-2-2-222-122-2-2-212-1-212-2-1-22-212-111-12-2-112-111-1-1-212-1-211-1-1-111-212-1-1111-1-10000000000000000−333−30000−333−3000000
χ5522-2-2-222-122-2-2-212-1-21-22-12-2-212-111-12-2-112-111-1-1-21-212-11-111-1-12-1-21-11-1-11100000000000000003−3−330000−333−3000000
χ5622-2-2-222-122-2-2-212-1-21-22-12-2-212-111-12-2-112-111-1-1-21-212-11-111-1-12-1-21-11-1-1110000000000000000−333−300003−3−33000000
χ5722-2-2-22-1222-2-21-2-121-22-2-1-221-2-1211-1-112-2-1211-1-11-2-121-21-1-1-1111-2-12-1111-1-10000000000003−3−3300003−3−330000000000
χ5822-2-2-22-1222-2-21-2-121-22-2-1-221-2-1211-1-112-2-1211-1-11-2-121-21-1-1-1111-2-12-1111-1-1000000000000−333−30000−333−30000000000
χ5922-2-2-22-1222-2-21-2-121-2-22-12-21-2-1211-1-112-2-1211-1-11-21-2-121-111-1-1-121-2-11-1-1110000000000003−3−330000−333−30000000000
χ6022-2-2-22-1222-2-21-2-121-2-22-12-21-2-1211-1-112-2-1211-1-11-21-2-121-111-1-1-121-2-11-1-111000000000000−333−300003−3−330000000000
χ614444444-2-4-4-4-44-24-24-200-2004-24-2-2-2-2-4-422-422222-420000-2-2000000002200000000000000000000000000000000000000
χ62444444-24-4-4-4-4-24-24-2400-200-24-24-2-2-222-4-42-422222-40000-2-2000000002200000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-244144-2-2-2-2111-2-2-2-2-2-21111-2-2-2-2-2-2111111-2-2-2-21111110000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-2-4-41-4-4-2-2-2-2111-2-2-2-2-2-21111-2-2222211-1-1-1-1222211-1-1-1-10000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-200100-2-2-2-2111222222-1-1-1-1220000113-33-30000-1-13-33-30000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-200100-2-2-2-2111222222-1-1-1-122000011-33-330000-1-1-33-330000000000000000000000000000000000
χ674444-4-44-2-44-444-24-24-200-200-42-42-2-2-2-442-24-2-2-2-2-2-42000022000000002200000000000000000000000000000000000000
χ684444-4-4-24-44-44-24-24-2400-2002-42-4-2-2-22-2-44-24-2-2-2-22-4000022000000002200000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-2-2-2-2-2-2441-4-42222111-22-2222-1-1-1-1-2-2-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000000000
χ704444-4-4-2-24-44-4-2-2-2-2-2-2-4-41442222111-22-2222-1-1-1-1-2-22222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000
χ714444-4-4-2-2-44-44-2-2-2-2-2-20010022221112-22-2-2-21111220000-1-13-33-30000-1-1-33-330000000000000000000000000000000000
χ724444-4-4-2-2-44-44-2-2-2-2-2-20010022221112-22-2-2-21111220000-1-1-33-330000-1-13-33-30000000000000000000000000000000000
χ7344-4-44-44-2-444-4-424-2-4200-2004-2-4222-2-4-4224-222-2-24-20000-22000000002-200000000000000000000000000000000000000
χ7444-4-44-4-24-444-42-4-242-400-200-242-422-222-4-4-2422-2-2-240000-22000000002-200000000000000000000000000000000000000
χ7544-4-44-4-2-24-4-4422-2-2224-414-4-2-222-1-11-2-2-2-22211-1-122-2-2221-111-1-1-2-2221-111-1-10000000000000000000000000000000000
χ7644-4-44-4-2-24-4-4422-2-222-441-44-2-222-1-11-2-2-2-22211-1-12222-2-21-1-1-11122-2-21-1-1-1110000000000000000000000000000000000
χ7744-4-44-4-2-2-444-422-2-22200100-2-222-1-112222-2-2-1-111-2-200001-13-3-330000-113-3-330000000000000000000000000000000000
χ7844-4-44-4-2-2-444-422-2-22200100-2-222-1-112222-2-2-1-111-2-200001-1-333-30000-11-333-30000000000000000000000000000000000
χ7944-4-4-444-2-4-444-424-2-4200-200-424-222-2-442-2-42-2-2224-200002-2000000002-200000000000000000000000000000000000000
χ8044-4-4-44-24-4-4442-4-242-400-2002-4-2422-22-2-442-4-2-222-2400002-2000000002-200000000000000000000000000000000000000
χ8144-4-4-44-2-244-4-422-2-2224-41-4422-2-2-1-11-22-22-2-2-1-11122-2-222-1111-1-122-2-21-1-1-1110000000000000000000000000000000000
χ8244-4-4-44-2-244-4-422-2-222-4414-422-2-2-1-11-22-22-2-2-1-1112222-2-2-11-1-111-2-2221-111-1-10000000000000000000000000000000000
χ8344-4-4-44-2-2-4-44422-2-2220010022-2-2-1-112-22-22211-1-1-2-20000-113-3-330000-11-333-30000000000000000000000000000000000
χ8444-4-4-44-2-2-4-44422-2-2220010022-2-2-1-112-22-22211-1-1-2-20000-11-333-30000-113-3-330000000000000000000000000000000000
χ854-44-4004400004-4-4-4-440040000004-4-400000000000000000000000000000000−2i22i2−2i22i2000000000000000000000000000000
χ864-44-4004400004-4-4-4-440040000004-4-4000000000000000000000000000000002i2−2i22i2−2i2000000000000000000000000000000
χ874-4-4400440000-44-4-44-4004000000-44-400000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000000000
χ884-4-4400440000-44-4-44-4004000000-44-4000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000000000
χ898-88-8008-4000084-84-8-400-4000000-444000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-480000-4-84-84800-4000000-444000000000000000000000000000000000000000000000000000000000000000000
χ918-88-800-4-40000-44444-40020000002-2-20000006i−6i6i−6i00000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000-44444-40020000002-2-2000000−6i6i−6i6i00000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-8-4-848400-40000004-44000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-480000484-8-4-800-40000004-44000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004-444-44002000000-22-20000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004-444-44002000000-22-2000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000

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