Finite Group Databasebeta

← Group #11856273

Character table — Group #11856273

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order122222223344446666666666666636666666121212121212121222222222444444442466666666121212121212121212121212666666661212121212121212222244444444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ91111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1111-1
χ101111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-11
χ111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1-11
χ121111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-1111-1
χ131111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-11
χ141111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-111-1-111-1-11-1
χ151111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-11111-1-11-1
χ161111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-1111-1-1-1-111-11
χ17222222222-122222222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1222222220000222200002222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-10000000000002200-1-1-1-1000000
χ18222222222-122222222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-122222222000022220000-2-2-2-2111111-2-211-1-1-1-11111-1-1-1-10000-1-1-1-1000000000000-2-2001111000000
χ19222222222-122222222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-20000-2-2-2-200002222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1111100001111000000000000-2-2001111000000
χ20222222222-122222222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-20000-2-2-2-20000-2-2-2-2111111-2-211-1-1-1-111111111000011110000000000002200-1-1-1-1000000
χ21222222222-1-2-2-2-22222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-11111-2-2-2-222220000-2-2-2-200002-222-1-1-1-1-1-1-2-21111111111-1-1-1-1000011110000000000002-200-1-111000000
χ22222222222-1-2-2-2-22222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-11111-2-2-2-222220000-2-2-2-20000-22-2-211111122-1-11111-1-1-1-1-1-1-1-100001111000000000000-220011-1-1000000
χ23222222222-1-2-2-2-22222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-20000222200002-222-1-1-1-1-1-1-2-2111111111111110000-1-1-1-1000000000000-220011-1-1000000
χ24222222222-1-2-2-2-22222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2000022220000-22-2-211111122-1-11111-1-1-1-111110000-1-1-1-10000000000002-200-1-111000000
χ2522222222-122222-1-1-1-1222-12-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1000022220000222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-1-1-1-10000-1-1-1-10000000000220000-1-1-1-100
χ2622222222-122222-1-1-1-1222-12-1222-1-1-1-1-1-1-1-1-12222-1-1-1-10000222200002222-2-211-2-2111111-2-2-1-1-1-111110000-1-1-1-10000-1-1-1-10000000000-2-20000111100
χ2722222222-122222-1-1-1-1222-12-1222-1-1-1-1-1-1-1-1-12222-1-1-1-10000-2-2-2-20000-2-2-2-222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-100001111000011110000000000-2-20000111100
χ2822222222-122222-1-1-1-1222-12-1222-1-1-1-1-1-1-1-1-12222-1-1-1-10000-2-2-2-20000-2-2-2-2-2-211-2-2111111-2-2-1-1-1-1111100001111000011110000000000220000-1-1-1-100
χ2922222222-12-2-2-2-2-1-1-1-1222-12-1222-1-1-1-1-1-1-1-1-1-2-2-2-21111000022220000-2-2-2-22-2-1-122-1-1-1-111-2-2111111110000-1-1-1-1000011110000000000-22000011-1-100
χ3022222222-12-2-2-2-2-1-1-1-1222-12-1222-1-1-1-1-1-1-1-1-1-2-2-2-21111000022220000-2-2-2-2-2211-2-21111-1-1221111-1-1-1-10000-1-1-1-10000111100000000002-20000-1-11100
χ3122222222-12-2-2-2-2-1-1-1-1222-12-1222-1-1-1-1-1-1-1-1-1-2-2-2-211110000-2-2-2-2000022222-2-1-122-1-1-1-111-2-211111111000011110000-1-1-1-100000000002-20000-1-11100
χ3222222222-12-2-2-2-2-1-1-1-1222-12-1222-1-1-1-1-1-1-1-1-1-2-2-2-211110000-2-2-2-200002222-2211-2-21111-1-1221111-1-1-1-1000011110000-1-1-1-10000000000-22000011-1-100
χ332222-2-2-2-222000022-2-2-2-2-222-222-2-2222-2-2-22-20000000022-2-2000000002i2i−2i−2i000000000000000000000022-2-2000000002i2i−2i−2i00002i2i−2i−2i00000000000000
χ342222-2-2-2-222000022-2-2-2-2-222-222-2-2222-2-2-22-20000000022-2-200000000−2i−2i2i2i000000000000000000000022-2-200000000−2i−2i2i2i0000−2i−2i2i2i00000000000000
χ352222-2-2-2-222000022-2-2-2-2-222-222-2-2222-2-2-22-200000000-2-222000000002i2i−2i−2i0000000000000000000000-2-222000000002i2i−2i−2i0000−2i−2i2i2i00000000000000
χ362222-2-2-2-222000022-2-2-2-2-222-222-2-2222-2-2-22-200000000-2-22200000000−2i−2i2i2i0000000000000000000000-2-22200000000−2i−2i2i2i00002i2i−2i−2i00000000000000
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χ3822-2-22-2-222222-2-2-2-2-2-22-2-2222-2-2222-2-22-2-22222-2-222-2-20000-2-2220000-22-220000000000000022-2-200000000-2-2220000-22-220000000000000000000000
χ3922-2-22-2-2222-2-222-2-2-2-22-2-2222-2-2222-2-22-2-222-2-222-2-222000022-2-20000-22-2200000000000000-2-2220000000022-2-20000-22-220000000000000000000000
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χ8044444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111222222220000000000000000-442222-1-1-1-1-2-2-2-2-1-1-1-1111100000000000000000000000000000000000000
χ814444-4-4-4-44-2000044-4-42224-2-4-2-22-4-2-2-2222-220000000044-4-40000000000000000000000000000000000-2-2220000000000000000000000000000000000
χ824444-4-4-4-44-2000044-4-42224-2-4-2-22-4-2-2-2222-2200000000-4-444000000000000000000000000000000000022-2-20000000000000000000000000000000000
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χ9244-4-4-444-44-20000-4-4442-2-24-2-4222-4-2222-2-2-220000000000000000−4i−4i4i4i00000000000000000000000000000000002i2i−2i−2i00000000000000000000000000
χ9344-4-4-444-4-24000022-2-2-444-242-4-4-42-2222-2-2-22000000000000000000004i−4i−4i4i0000000000000000000000000000000000−2i2i2i−2i0000000000000000000000
χ9444-4-4-444-4-24000022-2-2-444-242-4-4-42-2222-2-2-2200000000000000000000−4i4i4i−4i00000000000000000000000000000000002i−2i−2i2i0000000000000000000000
χ954-44-444-4-44-24i−4i4i−4i4-44-4-2-22-424-222-4-2-22-2-2222−2i2i−2i2i4i−4i4i−4i000000000000000000000000000000−2i2i−2i2i000000000000000000000000000000000000000000
χ964-44-444-4-44-2−4i4i−4i4i4-44-4-2-22-424-222-4-2-22-2-22222i−2i2i−2i−4i4i−4i4i0000000000000000000000000000002i−2i2i−2i000000000000000000000000000000000000000000
χ974-44-444-4-4-244i−4i4i−4i-22-2244-42-4-24-4-42-2-22-2-22224i−4i4i−4i−2i2i−2i2i000000000000000000000000000000−2i2i−2i2i000000000000000000000000000000000000000000
χ984-44-444-4-4-24−4i4i−4i4i-22-2244-42-4-24-4-42-2-22-2-2222−4i4i−4i4i2i−2i2i−2i0000000000000000000000000000002i−2i2i−2i000000000000000000000000000000000000000000
χ994-44-444-4-4-2-24i−4i4i−4i-22-22-2-2222-2-222211-111-1-1-1−2i2i−2i2i−2i2i−2i2i00000000000000000000003-3-330000i−ii−i3i−3i−3i3i00000000000000000000000000000000000000
χ1004-44-444-4-4-2-24i−4i4i−4i-22-22-2-2222-2-222211-111-1-1-1−2i2i−2i2i−2i2i−2i2i0000000000000000000000-333-30000i−ii−i−3i3i3i−3i00000000000000000000000000000000000000
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χ1024-44-444-4-4-2-2−4i4i−4i4i-22-22-2-2222-2-222211-111-1-1-12i−2i2i−2i2i−2i2i−2i0000000000000000000000-333-30000−ii−ii3i−3i−3i3i00000000000000000000000000000000000000
χ1034-44-4-4-4444-200004-4-4422-2-42-4-22-24-2-2222-22-200000000000000004-44-40000000000000000000000000000000000-22-2200000000000000000000000000
χ1044-44-4-4-4444-200004-4-4422-2-42-4-22-24-2-2222-22-20000000000000000-44-4400000000000000000000000000000000002-22-200000000000000000000000000
χ1054-44-4-4-444-240000-222-2-4-442-424-44-2-2-2222-22-20000000000004-44-40000000000000000000000000000000000-22-22000000000000000000000000000000
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χ1074-4-444-44-4-244i−4i−4i4i2-22-24-442-4-2-44-42-22-2-22-2224i−4i−4i4i−2i2i2i−2i000000000000000000000000000000−2i2i2i−2i000000000000000000000000000000000000000000
χ1084-4-444-44-4-24−4i4i4i−4i2-22-24-442-4-2-44-42-22-2-22-222−4i4i4i−4i2i−2i−2i2i0000000000000000000000000000002i−2i−2i2i000000000000000000000000000000000000000000
χ1094-4-444-44-4-2-24i−4i−4i4i2-22-2-22-222-22-2221-111-11-1-1−2i2i2i−2i−2i2i2i−2i00000000000000000000−2i32i3i3−i3i3−i30023−23i−i−ii−33−3300000000000000000000000000000000000000
χ1104-4-444-44-4-2-24i−4i−4i4i2-22-2-22-222-22-2221-111-11-1-1−2i2i2i−2i−2i2i2i−2i000000000000000000002i3−2i3−i3i3−i3i300−2323i−i−ii3−33−300000000000000000000000000000000000000
χ1114-4-444-44-4-2-2−4i4i4i−4i2-22-2-22-222-22-2221-111-11-1-12i−2i−2i2i2i−2i−2i2i00000000000000000000−2i32i3i3−i3i3−i300−2323−iii−i3−33−300000000000000000000000000000000000000
χ1124-4-444-44-4-2-2−4i4i4i−4i2-22-2-22-222-22-2221-111-11-1-12i−2i−2i2i2i−2i−2i2i000000000000000000002i3−2i3−i3i3−i3i30023−23−iii−i−33−3300000000000000000000000000000000000000
χ1134-4-44-44-444-20000-444-42-22-42-42-2-24-22-22-222-2000000004-4-440000000000000000000000000000000000-222-20000000000000000000000000000000000
χ1144-4-44-44-444-20000-444-42-22-42-42-2-24-22-22-222-200000000-444-400000000000000000000000000000000002-2-220000000000000000000000000000000000
χ1154-4-44-44-44-2400002-2-22-44-42-42-444-2-22-22-222-20000000000004-4-440000000000000000000000000000000000-222-2000000000000000000000000000000
χ1164-4-44-44-44-2400002-2-22-44-42-42-444-2-22-22-222-2000000000000-444-400000000000000000000000000000000002-2-22000000000000000000000000000000
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χ11888-8-8-888-8-4-4000044-4-44-4-4-4-4444442-2-2-2222-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-8-888-4-40000-444-444-4444-44-4-422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-88-88-4-400004-4-444-444444-4-4-42-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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