Finite Group Databasebeta

← Group #11788680

Character table — Group #11788680

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
χ91-1-111-11111-1-1-1-1-11-111-111-111-1-1-1-1111-11-1-111-1-1-1111-1-11-111-1-11-11-11-111-1-1ii−i−ii−i1-1i−i1-1ii−i−i11-1-1ii−i−i11-1-1i−iii−i−i
χ101-1-111-11111-1-1-1-1-11-111-111-111-1-1-1-1111-11-1-111-1-1-1111-1-11-111-1-11-11-11-111-1-1ii−i−i−ii-11−ii-11−i−iii-1-111−i−iii-1-111i−iii−i−i
χ111-1-111-11111-1-1-1-1-11-111-111-111-1-1-1-1111-11-1-111-1-1-1111-1-11-111-1-11-11-11-111-1-1−i−iiii−i-11i−i-11ii−i−i-1-111ii−i−i-1-111−ii−i−iii
χ121-1-111-11111-1-1-1-1-11-111-111-111-1-1-1-1111-11-1-111-1-1-1111-1-11-111-1-11-11-11-111-1-1−i−iii−ii1-1−ii1-1−i−iii11-1-1−i−iii11-1-1−ii−i−iii
χ131-1-111-11111-1-1-1-1-11-11-111-1111-1-1-1-1111-11-1-111-1-1-11-1-1111-1-1-111-11-111-1-1-111ii−i−ii−i1-1−ii-11ii−i−i11-1-1−i−iii-1-111i−i−i−iii
χ141-1-111-11111-1-1-1-1-11-11-111-1111-1-1-1-1111-11-1-111-1-1-11-1-1111-1-1-111-11-111-1-1-111ii−i−i−ii-11i−i1-1−i−iii-1-111ii−i−i11-1-1i−i−i−iii
χ151-1-111-11111-1-1-1-1-11-11-111-1111-1-1-1-1111-11-1-111-1-1-11-1-1111-1-1-111-11-111-1-1-111−i−iiii−i-11−ii1-1ii−i−i-1-111−i−iii11-1-1−iiii−i−i
χ161-1-111-11111-1-1-1-1-11-11-111-1111-1-1-1-1111-11-1-111-1-1-11-1-1111-1-1-111-11-111-1-1-111−i−iii−ii1-1i−i-11−i−iii11-1-1ii−i−i-1-111−iiii−i−i
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
χ192222222-1222222-1-1-1222-1222-12-1-1-1-1-1-1-1222-1-1-1-1-122-12-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1000022002200-1-1-1-10000-1-1-1-10000000000
χ202222222-1222222-1-1-1222-1222-12-1-1-1-1-1-1-1222-1-1-1-1-122-12-1-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-200-2-2001111000011110000000000
χ212222222-1222222-1-1-12-2-2-1-2-22-12-1-1-1-1-1-1-1222-1-1-1-1-12-21-21-1-1111111-2-2-1-1111100002200-2-200-1-1-1-1000011110000000000
χ222222222-1222222-1-1-12-2-2-1-2-22-12-1-1-1-1-1-1-1222-1-1-1-1-12-21-21-1-1111111-2-2-1-111110000-2-200220011110000-1-1-1-10000000000
χ23222222-122222-1-1222-122-122-12-12-1-1-1222-1-1-1-1-1-1-12-1-12-12-1-1-1-1-1-122-1-1-1-1-1-1-1-10000002200220000-1-1-1-10000-1-1-1-1000000
χ24222222-122222-1-1222-122-122-12-12-1-1-1222-1-1-1-1-1-1-12-1-12-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000-2-200-2-20000111100001111000000
χ25222222-122222-1-1222-1-2-2-1-2-2-12-12-1-1-1222-1-1-1-1-1-1-12-11-21-2-1-11111-2-211-1-111110000002200-2-20000-1-1-1-100001111000000
χ26222222-122222-1-1222-1-2-2-1-2-2-12-12-1-1-1222-1-1-1-1-1-1-12-11-21-2-1-11111-2-211-1-11111000000-2-20022000011110000-1-1-1-1000000
χ272222-2-2222-2-2222222200200-2-2-2-22222-2222-22222-2-20000-2-200000000-2-200002222000000000000000000000000-2-20000
χ282222-2-2222-2-2222222200200-2-2-2-22222-2222-22222-2-20000-2-200000000-2-20000-2-2-2-2000000000000000000000000220000
χ292222-2-222-222-2222222222-2-2-2-2-2-2222-22-2-2-22-2-2-2-2222222-2-22222-2-2-2-222-2-2-2-20000000000000000000000000000000000
χ302222-2-222-222-2222222-2-2222-2-2-2-2222-22-2-2-22-2-2-2-222-2-2-2-2-2-2-2-2-2-222222222220000000000000000000000000000000000
χ312222-2-22-1-222-222-1-1-1222-1-2-2-21-21-1-1-11-11-2-221111-122-12-111-1-1-1-111-2-2-1-11111000000000000−i3i3−i3i30000−i3i3−i3i30000000000
χ322222-2-22-1-222-222-1-1-1222-1-2-2-21-21-1-1-11-11-2-221111-122-12-111-1-1-1-111-2-2-1-11111000000000000i3−i3i3−i30000i3−i3i3−i30000000000
χ332222-2-22-1-222-222-1-1-12-2-2-122-21-21-1-1-11-11-2-221111-12-21-21111111-1-122-1-1-1-1-1-1000000000000−i3i3−i3i30000i3−i3i3−i30000000000
χ342222-2-22-1-222-222-1-1-12-2-2-122-21-21-1-1-11-11-2-221111-12-21-21111111-1-122-1-1-1-1-1-1000000000000i3−i3i3−i30000−i3i3−i3i30000000000
χ352222-2-2-12-222-2-1-1222-122-1-2-21-21-2-1-1-1-22-211-111112-1-12-1211-1-1-1-1-2-211-1-111110000000000000000−i3i3−i3i30000−i3i3−i3i3000000
χ362222-2-2-12-222-2-1-1222-122-1-2-21-21-2-1-1-1-22-211-111112-1-12-1211-1-1-1-1-2-211-1-111110000000000000000i3−i3i3−i30000i3−i3i3−i3000000
χ372222-2-2-12-222-2-1-1222-1-2-2-1221-21-2-1-1-1-22-211-111112-11-21-211111122-1-1-1-1-1-1-1-10000000000000000−i3i3−i3i30000i3−i3i3−i3000000
χ382222-2-2-12-222-2-1-1222-1-2-2-1221-21-2-1-1-1-22-211-111112-11-21-211111122-1-1-1-1-1-1-1-10000000000000000i3−i3i3−i30000−i3i3−i3i3000000
χ392-2-222-222-2-222-2-2-22-220020022-2-2-2-22-2-22-222-2-2222-200002-200000000-2200000000000000000000000000000000002-2-22
χ402-2-222-222-2-222-2-2-22-220020022-2-2-2-22-2-22-222-2-2222-200002-200000000-220000000000000000000000000000000000-222-2
χ412-2-222-22-122-2-2-2-21-1122-2-12-22-1-2111-1-1-112-2-2-1-111122-1-21-11-1-111-112-2-11-1-11100002i−2i002i−2i00−i−iii0000−i−iii0000000000
χ422-2-222-22-122-2-2-2-21-1122-2-12-22-1-2111-1-1-112-2-2-1-111122-1-21-11-1-111-112-2-11-1-1110000−2i2i00−2i2i00ii−i−i0000ii−i−i0000000000
χ432-2-222-22-122-2-2-2-21-112-22-1-222-1-2111-1-1-112-2-2-1-11112-212-1-1111-1-11-1-22-1111-1-100002i−2i00−2i2i00−i−iii0000ii−i−i0000000000
χ442-2-222-22-122-2-2-2-21-112-22-1-222-1-2111-1-1-112-2-2-1-11112-212-1-1111-1-11-1-22-1111-1-10000−2i2i002i−2i00ii−i−i0000−i−iii0000000000
χ452-2-222-2-1222-2-211-22-2-12-2-12-2-121-211-122-2-111-1-111-2-1-121-2-11-1-1112-2-11-11-1-1110000002-2002-20000-1-1110000-1-111000000
χ462-2-222-2-1222-2-211-22-2-12-2-12-2-121-211-122-2-111-1-111-2-1-121-2-11-1-1112-2-11-11-1-111000000-2200-22000011-1-1000011-1-1000000
χ472-2-222-2-1222-2-211-22-2-1-22-1-22-121-211-122-2-111-1-111-2-11-2-12-1111-1-1-221-1-1111-1-10000002-200-220000-1-111000011-1-1000000
χ482-2-222-2-1222-2-211-22-2-1-22-1-22-121-211-122-2-111-1-111-2-11-2-12-1111-1-1-221-1-1111-1-1000000-22002-2000011-1-10000-1-111000000
χ492-2-22-22222-22-2-2-2-22-2200200-2-222-2-222-2-22-2222-2-22-20000-2200000000-2200002i2i−2i−2i000000000000000000000000−2i2i0000
χ502-2-22-22222-22-2-2-2-22-2200200-2-222-2-222-2-22-2222-2-22-20000-2200000000-220000−2i−2i2i2i0000000000000000000000002i−2i0000
χ512-2-22-2222-22-22-2-2-22-222-22-22-2-222-2-22-222-22-2-2-222-2222-2-2-2222-2-2-22-222-2-2-2220000000000000000000000000000000000
χ522-2-22-2222-22-22-2-2-22-22-2222-2-2-222-2-22-222-22-2-2-222-22-2-222-22-2-2222-22-22-222-2-20000000000000000000000000000000000
χ532-2-22-222-1-22-22-2-21-1122-2-1-22-212-111-11-1-1-22-211-1-1122-1-211-1-1-1111-1-22-1111-1-10000000000003−3−3300003−3−330000000000
χ542-2-22-222-1-22-22-2-21-1122-2-1-22-212-111-11-1-1-22-211-1-1122-1-211-1-1-1111-1-22-1111-1-1000000000000−333−30000−333−30000000000
χ552-2-22-222-1-22-22-2-21-112-22-12-2-212-111-11-1-1-22-211-1-112-212-11-111-1-1-112-2-11-1-1110000000000003−3−330000−333−30000000000
χ562-2-22-222-1-22-22-2-21-112-22-12-2-212-111-11-1-1-22-211-1-112-212-11-111-1-1-112-2-11-1-111000000000000−333−300003−3−330000000000
χ572-2-22-22-12-22-2211-22-2-12-2-1-221-2-1211-1-2221-1111-1-1-2-1-121-21-1-1-111-221-1-1111-1-10000000000000000−i3i3i3−i30000−i3i3i3−i3000000
χ582-2-22-22-12-22-2211-22-2-12-2-1-221-2-1211-1-2221-1111-1-1-2-1-121-21-1-1-111-221-1-1111-1-10000000000000000i3−i3−i3i30000i3−i3−i3i3000000
χ592-2-22-22-12-22-2211-22-2-1-22-12-21-2-1211-1-2221-1111-1-1-2-11-2-121-111-1-12-2-11-11-1-1110000000000000000−i3i3i3−i30000i3−i3−i3i3000000
χ602-2-22-22-12-22-2211-22-2-1-22-12-21-2-1211-1-2221-1111-1-1-2-11-2-121-111-1-12-2-11-11-1-1110000000000000000i3−i3−i3i30000−i3i3i3−i3000000
χ614444444-2-4-4-4-444-2-2-2400-2004-24-2-2-2-2222-4-4-422222-40000-2-2000000002200000000000000000000000000000000000000
χ62444444-24-4-4-4-4-2-2444-200-200-24-24-2-2-2-4-4-42222222-420000-2-2000000002200000000000000000000000000000000000000
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
χ674444-4-44-24-4-4444-2-2-2400-200-42-42-2-2-2-22-244-4-2-2-2-22-4000022000000002200000000000000000000000000000000000000
χ684444-4-4-244-4-44-2-2444-200-2002-42-4-2-2-24-44-2-22-2-2-2-2-42000022000000002200000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-2001002222111-22-2-2-221111220000-1-13-33-30000-1-1-33-330000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-2001002222111-22-2-2-221111220000-1-1-33-330000-1-13-33-30000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-2441-4-422221112-2222-2-1-1-1-1-2-2-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-2-4-414422221112-2222-2-1-1-1-1-2-22222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000
χ7344-4-4004400004-44-4-4-40040000004-4-40000000000000000000000000000000022−2222−22000000000000000000000000000000
χ7444-4-4004400004-44-4-4-40040000004-4-400000000000000000000000000000000−2222−2222000000000000000000000000000000
χ754-44-400440000-44-4-44-4004000000-44-400000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000000000
χ764-44-400440000-44-4-44-4004000000-44-4000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000000000
χ774-4-444-44-2-4-444-4-42-22400-2004-2-4222-222-2-44422-2-2-2-40000-22000000002-200000000000000000000000000000000000000
χ784-4-444-4-24-4-44422-44-4-200-200-242-422-2-4-442-2-222-2-2420000-22000000002-200000000000000000000000000000000000000
χ794-4-444-4-2-244-4-4222-22-24-414-4-2-222-1-11-2-22-22211-1-12-2-2-2221-111-1-1-22-221-111-1-10000000000000000000000000000000000
χ804-4-444-4-2-244-4-4222-22-2-441-44-2-222-1-11-2-22-22211-1-12-222-2-21-1-1-1112-22-21-1-1-1110000000000000000000000000000000000
χ814-4-444-4-2-2-4-444222-22-200100-2-222-1-1122-22-2-2-1-111-2200001-13-3-330000-113-3-330000000000000000000000000000000000
χ824-4-444-4-2-2-4-444222-22-200100-2-222-1-1122-22-2-2-1-111-2200001-1-333-30000-11-333-30000000000000000000000000000000000
χ834-4-44-444-24-44-4-4-42-22400-200-424-222-2-2224-44-2-222-2-400002-2000000002-200000000000000000000000000000000000000
χ844-4-44-44-244-44-422-44-4-200-2002-4-2422-24-4-4-22-2-2-2224200002-2000000002-200000000000000000000000000000000000000
χ854-4-44-44-2-24-44-4222-22-20010022-2-2-1-11-222-22-211-1-1-220000-113-3-330000-11-333-30000000000000000000000000000000000
χ864-4-44-44-2-24-44-4222-22-20010022-2-2-1-11-222-22-211-1-1-220000-11-333-30000-113-3-330000000000000000000000000000000000
χ874-4-44-44-2-2-44-44222-22-24-41-4422-2-2-1-112-2-22-22-1-1112-2-2-222-1111-1-12-22-21-1-1-1110000000000000000000000000000000000
χ884-4-44-44-2-2-44-44222-22-2-4414-422-2-2-1-112-2-22-22-1-1112-222-2-2-11-1-111-22-221-111-1-10000000000000000000000000000000000
χ8988-8-8008-400008-8-444-800-4000000-444000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-448-8-8400-4000000-444000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-44-44440020000002-2-20000006i−6i6i−6i00000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-44-44440020000002-2-2000000−6i6i−6i6i00000000000000000000000000000000000000000000000000000000
χ938-88-8008-40000-8844-4-800-40000004-44000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-4800004-4-8-88400-40000004-44000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004-444-44002000000-22-20000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000
χ968-88-800-4-400004-444-44002000000-22-2000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000

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