Finite Group Databasebeta

← Group #11781463

Character table — Group #11781463

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222222222222244444444444444444444444444444444444444444444444444444444444161616161616161616161616161616161616363636363636363672727272
order1222333344446666666666668888488121212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242424666666661212121212121212444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9222222222-2-222222222222220000-200-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000022-2-200000000
χ10222222222-2-222222222222220000-200-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000-2-22200000000
χ1122222222-222-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000
χ1222222222-222-2222222222222-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222000000000000000000000000000000
χ1322222222-2-2-2-2222222222222000020022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000002i2i−2i−2i0000
χ1422222222-2-2-2-2222222222222000020022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000−2i−2i2i2i0000
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χ1622222-1-1-1222222-1-1-1-1-1-12-1-1-1222222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-2111111000000000000
χ1722222-1-1-1222222-1-1-1-1-1-12-1-1-1-2-2-2-22-2-222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112-222-1-1-1-1-1-1-2-2111111000000000000
χ1822222-1-1-1222222-1-1-1-1-1-12-1-1-1-2-2-2-22-2-222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-22-2-211111122-1-1-1-1-1-1000000000000
χ1922222-1-1-1-222-222-1-1-1-1-1-12-1-1-12222-2-2-2-2-2111111-2-211111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000000000
χ2022222-1-1-1-222-222-1-1-1-1-1-12-1-1-12222-2-2-2-2-2111111-2-211111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3000000000000
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χ252222-12-1-12222-1-122-1-1-1-1-12-1-1-2-2-2-22-2-2-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111112-2-1-12-1-12-1-111-211-211000000000000
χ262222-12-1-12222-1-122-1-1-1-1-12-1-1-2-2-2-22-2-2-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2211-211-211-1-12-1-12-1-1000000000000
χ272222-12-1-1-222-2-1-122-1-1-1-1-12-1-12222-2-2-211-2-2111111-2-21111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3000000000000
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χ7844-4-4-2-24-20-440-22-224-4-2222-424i4i−4i−4i0000000000000000000-22-224-4-22−2i−2i2i2i−2i−2i2i2i4i4i−4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ7944-4-4-2-24-20-440-22-224-4-2222-42−4i−4i4i4i0000000000000000000-22-224-4-222i2i−2i−2i2i2i−2i−2i−4i−4i4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ8044-4-4-2-2-2404-40-22-22-224-4222-4000000000000000000000002-22-22-2-44000000000000000023−2323−2323−2323−23−2323−23230000000000000000000000000000000000
χ8144-4-4-2-2-2404-40-22-22-224-4222-4000000000000000000000002-22-22-2-440000000000000000−2323−2323−2323−232323−2323−230000000000000000000000000000000000
χ8244-4-4-2-2-240-440-22-22-224-4222-44i4i−4i−4i0000000000000000000-22-22-224-4−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i4i4i−4i−4i0000000000000000000000000000000000000000000000
χ8344-4-4-2-2-240-440-22-22-224-4222-4−4i−4i4i4i0000000000000000000-22-22-224-42i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−4i−4i4i4i0000000000000000000000000000000000000000000000
χ844-44-444440000-44-44-44-44-4-4-4-4−2i22i22i2−2i2000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000000000
χ854-44-444440000-44-44-44-44-4-4-4-42i2−2i2−2i22i20000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000000000
χ864-44-44-2-2-20000-442-22-22-2-4222−2i22i22i2−2i200000−2i32i3−2i32i3−2i32i30000000000000000−2i22i22i2−2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i200006−6−666−6−666−6−66000000000000000000000000000000
χ874-44-44-2-2-20000-442-22-22-2-4222−2i22i22i2−2i2000002i3−2i32i3−2i32i3−2i30000000000000000−2i22i22i2−2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000−666−6−666−6−666−6000000000000000000000000000000
χ884-44-44-2-2-20000-442-22-22-2-42222i2−2i2−2i22i200000−2i32i3−2i32i3−2i32i300000000000000002i2−2i2−2i22i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000−666−6−666−6−666−6000000000000000000000000000000
χ894-44-44-2-2-20000-442-22-22-2-42222i2−2i2−2i22i2000002i3−2i32i3−2i32i3−2i300000000000000002i2−2i2−2i22i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200006−6−666−6−666−6−66000000000000000000000000000000
χ904-44-4-24-2-200002-2-442-22-22-422−2i22i22i2−2i2000−2i32i300−2i32i32i3−2i30000000000000000i2−i2−i2i2−2i22i22i2−2i2i2−i2−i2i2i2−i2−i2i26−6−6600006−6−66−666−6000000000000000000000000000000
χ914-44-4-24-2-200002-2-442-22-22-422−2i22i22i2−2i20002i3−2i3002i3−2i3−2i32i30000000000000000i2−i2−i2i2−2i22i22i2−2i2i2−i2−i2i2i2−i2−i2i2−666−60000−666−66−6−66000000000000000000000000000000
χ924-44-4-24-2-200002-2-442-22-22-4222i2−2i2−2i22i2000−2i32i300−2i32i32i3−2i30000000000000000−i2i2i2−i22i2−2i2−2i22i2−i2i2i2−i2−i2i2i2−i2−666−60000−666−66−6−66000000000000000000000000000000
χ934-44-4-24-2-200002-2-442-22-22-4222i2−2i2−2i22i20002i3−2i3002i3−2i3−2i32i30000000000000000−i2i2i2−i22i2−2i2−2i22i2−i2i2i2−i2−i2i2i2−i26−6−6600006−6−66−666−6000000000000000000000000000000
χ944-44-4-2-24-200002-22-2-442-222-42−2i22i22i2−2i2000−2i32i32i3−2i300−2i32i30000000000000000i2−i2−i2i2i2−i2−i2i2−2i22i22i2−2i2i2−i2−i2i26−6−66−666−600006−6−66000000000000000000000000000000
χ954-44-4-2-24-200002-22-2-442-222-42−2i22i22i2−2i20002i3−2i3−2i32i3002i3−2i30000000000000000i2−i2−i2i2i2−i2−i2i2−2i22i22i2−2i2i2−i2−i2i2−666−66−6−660000−666−6000000000000000000000000000000
χ964-44-4-2-24-200002-22-2-442-222-422i2−2i2−2i22i2000−2i32i32i3−2i300−2i32i30000000000000000−i2i2i2−i2−i2i2i2−i22i2−2i2−2i22i2−i2i2i2−i2−666−66−6−660000−666−6000000000000000000000000000000
χ974-44-4-2-24-200002-22-2-442-222-422i2−2i2−2i22i20002i3−2i3−2i32i3002i3−2i30000000000000000−i2i2i2−i2−i2i2i2−i22i2−2i2−2i22i2−i2i2i2−i26−6−66−666−600006−6−66000000000000000000000000000000
χ984-44-4-2-2-2400002-22-22-2-44222-4−2i22i22i2−2i2000−2i32i3−2i32i32i3−2i3000000000000000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−2i22i22i2−2i26−6−666−6−66−666−60000000000000000000000000000000000
χ994-44-4-2-2-2400002-22-22-2-44222-4−2i22i22i2−2i20002i3−2i32i3−2i3−2i32i3000000000000000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−2i22i22i2−2i2−666−6−666−66−6−660000000000000000000000000000000000
χ1004-44-4-2-2-2400002-22-22-2-44222-42i2−2i2−2i22i2000−2i32i3−2i32i32i3−2i3000000000000000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i22i2−2i2−2i22i2−666−6−666−66−6−660000000000000000000000000000000000
χ1014-44-4-2-2-2400002-22-22-2-44222-42i2−2i2−2i22i20002i3−2i32i3−2i3−2i32i3000000000000000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i22i2−2i2−2i22i26−6−666−6−66−666−60000000000000000000000000000000000
χ1024-4-444-2-2-2400-4-4-42222224-2-2-222−2222−22022−22000000004-4-22-22-220000000022−2222−22−22−22−22−22−22−222222−22−22−2−222−2−222−2−222000000000000000000000000000000
χ1034-4-444-2-2-2400-4-4-42222224-2-2-2−2222−22220−2222000000004-4-22-22-2200000000−2222−22222−22−22−22−22−22−2−22−22222222−2−222−2−222−2−2000000000000000000000000000000
χ1044-4-444-2-2-2-4004-4-42222224-2-2-222−2222−220−222200000000-442-22-22-20000000022−2222−22−22−22−22−22−22−22−22−22222222−2−222−2−222−2−2000000000000000000000000000000
χ1054-4-444-2-2-2-4004-4-42222224-2-2-2−2222−2222022−2200000000-442-22-22-200000000−2222−22222−22−22−22−22−22−22222−22−22−2−222−2−222−2−222000000000000000000000000000000
χ1064-4-44-24-2-2400-422-4-42222-24-2-222−2222−22022−2200000000-224-4-22-2200000000−22−2222−2222−22−22−22−22−22−2−2222222−22−22−2−222−2−222000000000000000000000000000000
χ1074-4-44-24-2-2400-422-4-42222-24-2-2−2222−22220−222200000000-224-4-22-22000000002−22−2−2222−22222−22−22−22−222−2−2−22−22222222−2−222−2−2000000000000000000000000000000
χ1084-4-44-24-2-2-400422-4-42222-24-2-222−2222−220−2222000000002-2-442-22-200000000−22−2222−2222−22−22−22−22−2222−2−2−22−22222222−2−222−2−2000000000000000000000000000000
χ1094-4-44-24-2-2-400422-4-42222-24-2-2−2222−2222022−22000000002-2-442-22-2000000002−22−2−2222−22222−22−22−22−2−2−2222222−22−22−2−222−2−222000000000000000000000000000000
χ1104-4-44-2-24-2400-42222-4-422-2-24-222−2222−22022−2200000000-22-224-4-2200000000−22−22−22−2222−2222−22−22−22−2−222−2−2222222−22−22−2−222000000000000000000000000000000
χ1114-4-44-2-24-2400-42222-4-422-2-24-2−2222−22220−222200000000-22-224-4-22000000002−22−22−22−2−2222−22222−22−222−2−222−2−2−22−22222222−2−2000000000000000000000000000000
χ1124-4-44-2-24-2-40042222-4-422-2-24-222−2222−220−2222000000002-22-2-442-200000000−22−22−22−2222−2222−22−22−2222−2−222−2−2−22−22222222−2−2000000000000000000000000000000
χ1134-4-44-2-24-2-40042222-4-422-2-24-2−2222−2222022−22000000002-22-2-442-2000000002−22−22−22−2−2222−22222−22−2−2−222−2−2222222−22−22−2−222000000000000000000000000000000
χ1144-4-44-2-2-24400-4222222-4-4-2-2-2422−2222−22022−2200000000-22-22-224-400000000−22−22−22−22−22−2222−2222−22−2−222−2−222−2−2222222−22−22000000000000000000000000000000
χ1154-4-44-2-2-24400-4222222-4-4-2-2-24−2222−22220−222200000000-22-22-224-4000000002−22−22−22−22−22−2−2222−222222−2−222−2−222−2−2−22−222222000000000000000000000000000000
χ1164-4-44-2-2-24-4004222222-4-4-2-2-2422−2222−220−2222000000002-22-22-2-4400000000−22−22−22−22−22−2222−2222−2222−2−222−2−222−2−2−22−222222000000000000000000000000000000
χ1174-4-44-2-2-24-4004222222-4-4-2-2-24−2222−2222022−22000000002-22-22-2-44000000002−22−22−22−22−22−2−2222−2222−2−222−2−222−2−2222222−22−22000000000000000000000000000000

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