Finite Group Databasebeta

← Group #11865375

Character table — Group #11865375

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1122222222244444444444666688888888888888888812121212121212121212161616161624242424242424242424242424243636363648487272
order1222233666623466666666444424666666666666121212122224441212121261212121224446666612121212122244121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-11-1-111111111111-1-1-1-111111-1-11-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-11-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1
χ411111111111111111111111111-1-11-1-11-1-111-1-1-1-1-1-1111-1-11-1-1111111-1-1-1-1-111-1-11-1-1-1-1-1-11-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111111111111111-111-111-1-1-1-111111-1-11111-1-1-1-1-111-1-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-111-111-111-1-1-1-111-1-1-111-1-111-1111111-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-11111-1-1-1111111-1-1
χ911111111111-11-11111111111111-1-111-111111111-1-1-1-1-11-1-11-11111-1-1-1-1-11-11-11-1-111-1-11-1-11-11-11-11-1
χ1011111111111-11-11111111111111-1-111-111111111-1-1-1-1-1-11-1-111111-1-1-1-1-11-1-11-11-111-1-1-11-1-11-11-11-11
χ1111111111111-11-1111111111111-11-1-1-1-1-1-111-1-1-1-111-1-1-11-1-11-11111-1-1111-11-111-1-1-1-1111-1-11-11-1-11-11
χ1211111111111-11-1111111111111-11-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-111111-1-1111-111-1-11-1-1-111-11-1-11-111-11-1
χ1311111111111-11-111111111-1-1-1-11-1-111-111111111-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-111-11-11-1-1111-11-11-111-1-11
χ1411111111111-11-111111111-1-1-1-11-1-111-111111111-1-1-1-11-111-11-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1111-11-1-111-1
χ1511111111111-11-111111111-1-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-111-111-1-1-1-1-1-1-11111-1-111-1111-1-11-11-11-11-111-1
χ1611111111111-11-111111111-1-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-11-111-11-1-1-1-1-1-11111-11-1-11111-1-1-1111-11-11-1-11
χ17222222-1-1-12-12-12-1-12-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-12-1200200-1-1-1-1-1-12-1-1220000-1-1-1-1-100-100000000
χ18222222-1-1-12-12-12-1-12-1-1-1222222-2-22-2-2-111-1-11111112-1200200-1-1-1-1-1-1-211-2-20000-1111100-100000000
χ19222222-1-1-12-12-12-1-12-1-1-122-2-2-2-222222-1-1-1-1-1-1-1-1-1-1-12-1-200-2001111-1-12-1-1-2-200001111100100000000
χ20222222-1-1-12-12-12-1-12-1-1-122-2-2-2-2-2-22-2-2-111-1-11111112-1-200-2001111-1-1-2112200001-1-1-1-100100000000
χ21222222-1-1-12-1-2-1-2-1-12-1-1-12222222-2-2221-1-1-1-1-1-1-1-111-21-200-200-1-1-1-111-2112-200001-1-11100100000000
χ22222222-1-1-12-1-2-1-2-1-12-1-1-1222222-22-2-2-2111-1-11111-1-1-21-200-200-1-1-1-1112-1-1-220000111-1-100100000000
χ23222222-1-1-12-1-2-1-2-1-12-1-1-122-2-2-2-22-2-2221-1-1-1-1-1-1-1-111-21200200111111-211-220000-111-1-100-100000000
χ24222222-1-1-12-1-2-1-2-1-12-1-1-122-2-2-2-2-22-2-2-2111-1-11111-1-1-212002001111112-1-12-20000-1-1-11100-100000000
χ2522222-1222-122-1222-1-1-1-1-1-1000022-1-1-1222-1-1-1-1-1-122-120220220000-1-1-1-1-10022-1-100000-1-100000-1-100
χ2622222-1222-122-1222-1-1-1-1-1-1000022-1-1-1222-1-1-1-1-1-122-120-2-20-2-20000-1-1-1-1-100-2-2110000011000001100
χ2722222-1222-122-1222-1-1-1-1-1-10000-2-2-1112-2-2-1-11111-2-2-120220220000-1-111100-2-2-1-100000-1-1000001100
χ2822222-1222-122-1222-1-1-1-1-1-10000-2-2-1112-2-2-1-11111-2-2-120-2-20-2-20000-1-1111002211000001100000-1-100
χ2922222-1222-12-2-1-222-1-1-1-1-1-100002-21-1-1-222-1-1-1-1-1-1-2-21-202-202-2000011111002-2-1100000-1100000-1100
χ3022222-1222-12-2-1-222-1-1-1-1-1-100002-21-1-1-222-1-1-1-1-1-1-2-21-20-220-2200001111100-221-1000001-1000001-100
χ3122222-1222-12-2-1-222-1-1-1-1-1-10000-22111-2-2-2-1-11111221-202-202-2000011-1-1-100-22-1100000-11000001-100
χ3222222-1222-12-2-1-222-1-1-1-1-1-10000-22111-2-2-2-1-11111221-20-220-22000011-1-1-1002-21-1000001-100000-1100
χ33222-2-222222222-2-2-22222-2-222-2-200200200-2-2000000-2-2200-20022-2-22-20000000002000000-200000000
χ34222-2-222222222-2-2-22222-2-2-2-22200200200-2-2000000-2-2-200200-2-2222-2000000000-2000000200000000
χ35222-2-2222222-222-2-22222-2-222-2-200-200-200-2-200000022-20020022-2-2-22000000000-2000000200000000
χ36222-2-2222222-222-2-22222-2-2-2-22200-200-200-2-200000022200-200-2-222-220000000002000000-200000000
χ37222-2-22-1-1-12-12-1-2112-1-1-1-2-222-2-200200-1i3−i311i3i3−i3−i3i3−i3-21200-200-1-111-110i3−i3000000-1i3−i3i3−i300100000000
χ38222-2-22-1-1-12-12-1-2112-1-1-1-2-222-2-200200-1−i3i311−i3−i3i3i3−i3i3-21200-200-1-111-110−i3i3000000-1−i3i3−i3i300100000000
χ39222-2-22-1-1-12-12-1-2112-1-1-1-2-2-2-22200200-1i3−i311i3i3−i3−i3i3−i3-21-20020011-1-1-110i3−i30000001−i3i3−i3i300-100000000
χ40222-2-22-1-1-12-12-1-2112-1-1-1-2-2-2-22200200-1−i3i311−i3−i3i3i3−i3i3-21-20020011-1-1-110−i3i30000001i3−i3i3−i300-100000000
χ41222-2-22-1-1-12-1-2-12112-1-1-1-2-222-2-200-2001i3−i311i3i3−i3−i3−i3i32-1-200200-1-1111-10−i3i30000001i3−i3−i3i300-100000000
χ42222-2-22-1-1-12-1-2-12112-1-1-1-2-222-2-200-2001−i3i311−i3−i3i3i3i3−i32-1-200200-1-1111-10i3−i30000001−i3i3i3−i300-100000000
χ43222-2-22-1-1-12-1-2-12112-1-1-1-2-2-2-22200-2001i3−i311i3i3−i3−i3−i3i32-1200-20011-1-11-10−i3i3000000-1−i3i3i3−i300100000000
χ44222-2-22-1-1-12-1-2-12112-1-1-1-2-2-2-22200-2001−i3i311−i3−i3i3i3i3−i32-1200-20011-1-11-10i3−i3000000-1i3−i3−i3i300100000000
χ4522-22-222-2-2220202-2-22-2-22-22-22-2000000002-20000000000200-22-22-200000000002000000-20020-20000
χ4622-22-222-2-2220202-2-22-2-22-22-22-2000000002-20000000000-20022-22-20000000000-2000000200-2020000
χ4722-22-222-2-2220202-2-22-2-22-2-22-22000000002-20000000000200-2-22-2200000000002000000-200-2020000
χ4822-22-222-2-2220202-2-22-2-22-2-22-22000000002-20000000000-2002-22-220000000000-200000020020-20000
χ4922-2-2222-2-222020-22-22-2-2-222-2-2200000000-22000000000200-202-2-220000000002000000-200-20200000
χ5022-2-2222-2-222020-22-22-2-2-222-2-2200000000-22000000000-200202-2-22000000000-200000020020-200000
χ5122-2-2222-2-222020-22-22-2-2-22-222-200000000-22000000000200-20-222-20000000002000000-20020-200000
χ5222-2-2222-2-222020-22-22-2-2-22-222-200000000-22000000000-20020-222-2000000000-2000000200-20200000
χ5344444-2-2-2-2-2-2414-2-2-2111-2-2000044-2-2-2-2-2-2111111-2-2-2-2000000000011-2110000000000000000000000
χ5444444-2-2-2-2-2-2414-2-2-2111-2-20000-4-4-222-22211-1-1-1-122-2-20000000000112-1-10000000000000000000000
χ5544444-2-2-2-2-2-2-41-4-2-2-2111-2-200004-42-2-22-2-211111122220000000000-1-12-1-10000000000000000000000
χ5644444-2-2-2-2-2-2-41-4-2-2-2111-2-20000-4422222211-1-1-1-1-2-2220000000000-1-1-2110000000000000000000000
χ57444-4-4-2444-244-2-4-4-4-2-2-2-222000000-200400220000002-40000000000-220000000000000000000000000
χ58444-4-4-2444-24-4-24-4-4-2-2-2-222000000200-40022000000-2400000000002-20000000000000000000000000
χ59444-4-4-2-2-2-2-2-241-422-211122000000-200-22i3−2i3-1-1−i3−i3i3i32i3−2i32200000000001-10−i3i30000000000000000000000
χ60444-4-4-2-2-2-2-2-241-422-211122000000-200-2−2i32i3-1-1i3i3−i3−i3−2i32i32200000000001-10i3−i30000000000000000000000
χ61444-4-4-2-2-2-2-2-2-41422-21112200000020022i3−2i3-1-1−i3−i3i3i3−2i32i3-2-20000000000-110i3−i30000000000000000000000
χ62444-4-4-2-2-2-2-2-2-41422-2111220000002002−2i32i3-1-1i3i3−i3−i32i3−2i3-2-20000000000-110−i3i30000000000000000000000
χ6344-44-44-2224-20-20-22-4-2224-44-44-400000000-2200000000000000-22-22000000000000000000000000000
χ6444-44-44-2224-20-20-22-4-2224-4-44-4400000000-22000000000000002-22-2000000000000000000000000000
χ6544-44-4-24-4-4-240-204-42-222-22000000000000-220000000000400-400000000000000-20000002000000000
χ6644-44-4-24-4-4-240-204-42-222-22000000000000-220000000000-4004000000000000002000000-2000000000
χ6744-4-444-2224-20-202-2-4-222-444-4-44000000002-200000000000000-222-2000000000000000000000000000
χ6844-4-444-2224-20-202-2-4-222-44-444-4000000002-2000000000000002-2-22000000000000000000000000000
χ6944-4-44-24-4-4-240-20-442-2222-20000000000002-2000000000400-400000000000000-200000020000000000
χ7044-4-44-24-4-4-240-20-442-2222-20000000000002-2000000000-4004000000000000002000000-20000000000
χ7188-88-8-4-444-4-4020-4442-2-2-440000000000002-2000000000000000000000000000000000000000000000
χ7288-8-88-4-444-4-40204-442-2-24-4000000000000-22000000000000000000000000000000000000000000000
χ738-80008800-8-8080000-8000000000000000000000000000000000000000000000000000000000000000
χ748-80008-44i3−4i3-840-4000044i3−4i30000000000000000000000000000000000000000000000000000000000000
χ758-80008-4−4i34i3-840-400004−4i34i30000000000000000000000000000000000000000000000000000000000000
χ768-8000-48004-80-400004000000000002i3−2i3000002i3−2i32i3−2i300000000000000000000000000000000000000000
χ778-8000-48004-80-40000400000000000−2i32i300000−2i32i3−2i32i300000000000000000000000000000000000000000
χ788-8000-4-44i3−4i344020000-2−2i32i30000000002i3−2i3000003−i3−3+i3−3−i33+i300000000000000000000000000000000000000000
χ798-8000-4-44i3−4i344020000-2−2i32i3000000000−2i32i300000−3+i33−i33+i3−3−i300000000000000000000000000000000000000000
χ808-8000-4-4−4i34i344020000-22i3−2i30000000002i3−2i300000−3−i33+i33−i3−3+i300000000000000000000000000000000000000000
χ818-8000-4-4−4i34i344020000-22i3−2i3000000000−2i32i3000003+i3−3−i3−3+i33−i300000000000000000000000000000000000000000

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