Finite Group Databasebeta

← Group #11778024

Character table — Group #11778024

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444444444444488888888888888888888888824242424242424242424242424242424363648484848727272
order1222223366666634466666666666121212122266666666666666661212121212124444888824242424242424242212121212444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-11-111-1-11111-1-1-1-1-1-11-11-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-11-11-1-111-1-1-1-11111-1-1-11-11-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1-1-111-1-1-1-11111-1-11-11-1-111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1111-1-11111-1-1-1-1-1-1-11-11-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-11-1-1
χ9222222222222222-2-222222222222-2-2-2-2000000000000000000-2-2-2-2-2-20000000000000000220000-200
χ10222222222222222-2-222222222222-2-2-2-2000000000000000000-2-2-2-2-2-20000000000000000-2-20000200
χ112222222-12-12-12-1-12222-1-1-1-1-1-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1020200220000-1-1-1-1000-10-1000
χ122222222-12-12-12-1-12222-1-1-1-1-1-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-10-20-200-2-200001111000101000
χ132222222-12-12-12-1-12222-1-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-21111111111112-1-1-1-1-1020200-2-200001111000-10-1000
χ142222222-12-12-12-1-12222-1-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-21111111111112-1-1-1-1-10-20-200220000-1-1-1-1000101000
χ15222222-12-12-12-12-122-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-1-120202200-1-1-1-1000000-10-10000
χ16222222-12-12-12-12-122-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-1-1-20-20-2-20011110000001010000
χ17222222-12-12-12-12-122-1-122-1-1-1-1-1-1-1-1-122-2-21111-2-2-2-211111111-12-1-1-1-12020-2-2001111000000-10-10000
χ18222222-12-12-12-12-122-1-122-1-1-1-1-1-1-1-1-122-2-21111-2-2-2-211111111-12-1-1-1-1-20-202200-1-1-1-10000001010000
χ192222-2-22222222222-2-2-2-2-222-2-2-2-2222-2-2000000000000000000-2222-2-220-2000000000000000-2020000
χ202222-2-22222222222-2-2-2-2-222-2-2-2-2222-2-2000000000000000000-2222-2-2-20200000000000000020-20000
χ212222-2-2222222222-22-2-2-2-222-2-2-2-22-2-2220000000000000000002-2-2-222020-2000000000000000-202000
χ222222-2-2222222222-22-2-2-2-222-2-2-2-22-2-2220000000000000000002-2-2-2220-20200000000000000020-2000
χ232222-2-22-12-12-12-1-1-22-2-211-1-11111-1-2-2-1-1000000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i32111-1-1020-200000000−i3−i3i3i300010-1000
χ242222-2-22-12-12-12-1-1-22-2-211-1-11111-1-2-2-1-1000000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i32111-1-10-20200000000i3i3−i3−i3000-101000
χ252222-2-22-12-12-12-1-1-22-2-211-1-11111-1-2-2-1-1000000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i32111-1-1020-200000000i3i3−i3−i300010-1000
χ262222-2-22-12-12-12-1-1-22-2-211-1-11111-1-2-2-1-1000000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i32111-1-10-20200000000−i3−i3i3i3000-101000
χ272222-2-2-12-12-12-12-12-211-2-2-1-11111-1-1-1-2-200−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i312-1-11120-200000−i3−i3i3i300000010-10000
χ282222-2-2-12-12-12-12-12-211-2-2-1-11111-1-1-1-2-200−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i312-1-111-20200000i3i3−i3−i3000000-1010000
χ292222-2-2-12-12-12-12-12-211-2-2-1-11111-1-1-1-2-200i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i312-1-11120-200000i3i3−i3−i300000010-10000
χ302222-2-2-12-12-12-12-12-211-2-2-1-11111-1-1-1-2-200i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i312-1-111-20200000−i3−i3i3i3000000-1010000
χ3122-2-2-222222-2-2-2-22002-22-22-222-2-2-200000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-20000000
χ3222-2-2-222222-2-2-2-22002-22-22-222-2-2-200000000000000000000000000000000−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2-220000000
χ3322-2-2-222222-2-2-2-22002-22-22-222-2-2-200000000000000000000000000000000i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2-220000000
χ3422-2-2-222222-2-2-2-22002-22-22-222-2-2-200000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-20000000
χ354444444-24-24-24-2-2-4-444-2-2-2-2-2-2-2-2-2-4-422000000000000000000-4222220000000000000000000000000
χ36444444-24-24-24-24-2-4-4-2-244-2-2-2-2-2-2-222-4-40000000000000000002-422220000000000000000000000000
χ37444444-2-2-2-2-2-2-2-2144-2-2-2-21111111-2-2-2-244-2-2-2-2-2-2-2-211111111-2-211110000000000000000000000000
χ38444444-2-2-2-2-2-2-2-2144-2-2-2-21111111-2-2-2-2-4-422222222-1-1-1-1-1-1-1-1-2-211110000000000000000000000000
χ39444444-2-2-2-2-2-2-2-21-4-4-2-2-2-211111112222000000000033-3-3-3-33322-1-1-1-10000000000000000000000000
χ40444444-2-2-2-2-2-2-2-21-4-4-2-2-2-2111111122220000000000-3-33333-3-322-1-1-1-10000000000000000000000000
χ414444-4-44-24-24-24-2-24-4-4-422-2-22222-24422000000000000000000-4-2-2-2220000000000000000000000000
χ424444-4-4-24-24-24-24-2-4422-4-4-2-22222-22244000000000000000000-2-422-2-20000000000000000000000000
χ434444-4-4-2-2-2-2-2-2-2-214-4222211-1-1-1-11-2-22200−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i32-211-1-10000000000000000000000000
χ444444-4-4-2-2-2-2-2-2-2-214-4222211-1-1-1-11-2-222002i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i32-211-1-10000000000000000000000000
χ454444-4-4-2-2-2-2-2-2-2-21-44222211-1-1-1-1122-2-2000000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i3-22-1-1110000000000000000000000000
χ464444-4-4-2-2-2-2-2-2-2-21-44222211-1-1-1-1122-2-20000002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i3-22-1-1110000000000000000000000000
χ4744-4-44-44444-4-4-4-4400-44-444-4-4-444-400000000000000000000000000000000000000000000000000000
χ4844-4-44-44-24-2-42-42-200-442-2-2222-2-2200000000000000000000000000000000000000006−6−66000000000
χ4944-4-44-44-24-2-42-42-200-442-2-2222-2-220000000000000000000000000000000000000000−666−6000000000
χ5044-4-44-4-24-242-42-4-2002-2-44-2222-2-220000000000000000000000000000000000006−6−660000000000000
χ5144-4-44-4-24-242-42-4-2002-2-44-2222-2-22000000000000000000000000000000000000−666−60000000000000
χ5244-4-4-444-24-2-42-42-2004-4-22-22-2-22220000000000000000000000000000000000−2i22i20000i2−i2i2−i2000000000
χ5344-4-4-444-24-2-42-42-2004-4-22-22-2-222200000000000000000000000000000000002i2−2i20000−i2i2−i2i2000000000
χ5444-4-4-44-24-242-42-4-200-224-4-22-2-222200000000000000000000000000000000−2i22i200i2−i2i2−i20000000000000
χ5544-4-4-44-24-242-42-4-200-224-4-22-2-2222000000000000000000000000000000002i2−2i200−i2i2−i2i20000000000000
χ564-44-40044-4-4-4-4444000000-4-40000400002-22-22-22-22-22-22-22-22-20000000000000000000000000000000
χ574-44-40044-4-4-4-4444000000-4-4000040000-22-22-22-22-22-22-22-22-220000000000000000000000000000000
χ584-44-4004-2-42-424-2-2000000220000-200−2i32i32-22-22-2−1−i31+i3−1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i30000−2i32i30000000000000000000000000
χ594-44-4004-2-42-424-2-2000000220000-200−2i32i3-22-22-221+i3−1−i31−i3−1+i31+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i30000−2i32i30000000000000000000000000
χ604-44-4004-2-42-424-2-2000000220000-2002i3−2i32-22-22-2−1+i31−i3−1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i300002i3−2i30000000000000000000000000
χ614-44-4004-2-42-424-2-2000000220000-2002i3−2i3-22-22-221−i3−1+i31+i3−1−i31−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i300002i3−2i30000000000000000000000000
χ624-44-400-242-42-4-24-2000000220000-2−2i32i3002-2−1−i31+i3−1+i31−i32-22-2−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i300−2i32i3000000000000000000000000000
χ634-44-400-242-42-4-24-2000000220000-2−2i32i300-221+i3−1−i31−i3−1+i3-22-221+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i300−2i32i3000000000000000000000000000
χ644-44-400-242-42-4-24-2000000220000-22i3−2i3002-2−1+i31−i3−1−i31+i32-22-2−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3002i3−2i3000000000000000000000000000
χ654-44-400-242-42-4-24-2000000220000-22i3−2i300-221−i3−1+i31+i3−1−i3-22-221−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i3002i3−2i3000000000000000000000000000
χ664-44-400-2-22222-2-21000000-1-13-33-31−2i32i3−2i32i32-2−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i32+i3−2−i3-11-112−i3−2+i300i3−i3i3−i30000000000000000000000000
χ674-44-400-2-22222-2-21000000-1-13-33-31−2i32i3−2i32i3-221+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i3−2−i32+i31-11-1−2+i32−i300i3−i3i3−i30000000000000000000000000
χ684-44-400-2-22222-2-21000000-1-13-33-312i3−2i32i3−2i32-2−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i32−i3−2+i3-11-112+i3−2−i300−i3i3−i3i30000000000000000000000000
χ694-44-400-2-22222-2-21000000-1-13-33-312i3−2i32i3−2i3-221−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i3−2+i32−i31-11-1−2−i32+i300−i3i3−i3i30000000000000000000000000
χ704-44-400-2-22222-2-21000000-1-1-33-331−2i32i32i3−2i32-2−1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i3-112−i3−2+i32+i3−2−i3-1100i3−i3−i3i30000000000000000000000000
χ714-44-400-2-22222-2-21000000-1-1-33-331−2i32i32i3−2i3-221+i3−1−i31−i3−1+i31−i3−1+i31+i3−1−i31-1−2+i32−i3−2−i32+i31-100i3−i3−i3i30000000000000000000000000
χ724-44-400-2-22222-2-21000000-1-1-33-3312i3−2i3−2i32i32-2−1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i3-112+i3−2−i32−i3−2+i3-1100−i3i3i3−i30000000000000000000000000
χ734-44-400-2-22222-2-21000000-1-1-33-3312i3−2i3−2i32i3-221−i3−1+i31+i3−1−i31+i3−1−i31−i3−1+i31-1−2−i32+i3−2+i32−i31-100−i3i3i3−i30000000000000000000000000
χ744-4-440044-4-444-4-44000000-440000-40000000000000000000000000000000000000000000000000002-2
χ754-4-440044-4-444-4-44000000-440000-4000000000000000000000000000000000000000000000000000-22
χ7688-8-88-8-4-4-4-444442004-44-42-2-2-222-200000000000000000000000000000000000000000000000000000
χ7788-8-8-88-4-4-4-44444200-44-442-222-2-2-200000000000000000000000000000000000000000000000000000
χ788-8-88008-4-848-4-84-40000004-40000400000000000000000000000000000000000000000000000000000
χ798-8-8800-484-8-484-8-40000004-40000400000000000000000000000000000000000000000000000000000
χ808-8-8800-4-444-4-4442000000-226-6-66-200000000000000000000000000000000000000000000000000000
χ818-8-8800-4-444-4-4442000000-22-666-6-200000000000000000000000000000000000000000000000000000

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