Finite Group Databasebeta

← Group #11870458

Character table — Group #11870458

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order122233446666664444344666881212121224242424444412121212266121212121212242424242424222248888121212122424242466612122224666612121224244448864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-11111-1-1111111111-1-1-1111-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-11111-1-111111-1-1-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1111111-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1-111-1-1-11111
χ51111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1-1-11-1-1111-1-111-1-1
χ61111111111111111111-1-1111111111111111-1-11111-1-1-1-1-1-1-111111111-1-111-1-1-11111-1-11111-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1-111
χ71111111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111-1-11111-1-1-1-1111-1-11-1-1-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1111-1-1-1-1-11-1-111-11111-11111-1-1
χ911111111111111-1-1-1-11111111111111111-1-111-1-1-1-1111111111111111-1-111111-1-1-1-111-1-1-1-111111-1-11-1-1-1111-1-111-1-1-1-1-11-1
χ1011111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111111-11
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-111-1-1111111-1-1-111-1-1-11-1-111111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1111111-1-1-1-1-11111111-1-11-1
χ1311111111111111-1-1-1-11-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111-111-1-1-11
χ1411111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-11-1-1111-1
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-1-1-111-1-11-1-111-1-1111111111-1-1-1-11-111-1-11-1-1-1-1-111111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-11111-1-1-1-11111111-1-111-1-11111-1-1-1111-1-1-1-1-11
χ17222222-2-2222222222220022200-2-2-2-20000-2-22222220000000-2-20000000000-20000-2-22200000000022000000-20000-2000000
χ18222222-2-2222222222220022200-2-2-2-20000-2-2-2-222220000000-2-2000000000020000-2-2-2-2000000000-2-2000000200002000000
χ19222222-2-2222222-2-2-2-220022200-2-2-2-200002222-2-2-2-20000000-2-20000000000-200002222000000000-2-2000000-200002000000
χ20222222-2-2222222-2-2-2-220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000002000022-2-20000000002200000020000-2000000
χ2122222-1222-12-1-120000-122-1-1-122-122-1222200220000222-1-122-1-1-1-1-1-1-1-100222220000-1-10000-1-1-1-1-1002000-1-1-100-1-100000-10
χ2222222-1222-12-1-120000-122-1-1-122-122-1222200-2-20000222-1-122-1-1-1-1-1-1-1-100-2-2-2-2-20000110000-1-1-1-1-100-200011100110000010
χ2322222-1222-12-1-120000-122-1-1-1-2-2-122-1-2-2-2-200220000-2-2-2-1-122-1-111111100222-2-20000-1-10000111-1-100-2000-1-1-100110000010
χ2422222-1222-12-1-120000-122-1-1-1-2-2-122-1-2-2-2-200-2-20000-2-2-2-1-122-1-111111100-2-2-2220000110000111-1-100200011100-1-100000-10
χ2522222-1222-12-1-120000-1-2-2-1-1-122-122-1222200220000-2-2-211-2-2-1-1-1-1-1-1-1-100-2-22220000-1-100001111100-200011-100-1-10000010
χ2622222-1222-12-1-120000-1-2-2-1-1-122-122-1222200-2-20000-2-2-211-2-2-1-1-1-1-1-1-1-10022-2-2-2000011000011111002000-1-11001100000-10
χ2722222-1222-12-1-120000-1-2-2-1-1-1-2-2-122-1-2-2-2-20022000022211-2-2-1-111111100-2-22-2-20000-1-10000-1-1-11100200011-1001100000-10
χ2822222-1222-12-1-120000-1-2-2-1-1-1-2-2-122-1-2-2-2-200-2-2000022211-2-2-1-11111110022-2220000110000-1-1-11100-2000-1-1100-1-10000010
χ292222-1222-12-122-12222-122-1-1-1222-1-12-1-1-1-12200-1-1-1-12-1-122-1-1-1-122-1-1-1-1220000022-1-100-1-1-1-12-1-1-1-10002-1-1000-1-1000000000
χ302222-1222-12-122-12222-122-1-1-1-2-22-1-1211112200-1-1-1-1-21122-1-1-1-1-2-211112200000-2-2-1-1001111-211-1-1000-2-1-100011000000000
χ312222-1222-12-122-12222-1-2-2-1-1-1222-1-12-1-1-1-12200-1-1-1-1-211-2-211-1-122-1-1-1-1-2-20000022-1-100-1-1-1-1-21111000-21100011000000000
χ322222-1222-12-122-12222-1-2-2-1-1-1-2-22-1-1211112200-1-1-1-12-1-1-2-211-1-1-2-21111-2-200000-2-2-1-10011112-1-111000211000-1-1000000000
χ332222-1222-12-122-1-2-2-2-2-122-1-1-1222-1-12-1-1-1-1-2-20011112-1-122-1-1-1-122-1-1-1-1-2-200000-2-2110011112-1-1-1-1000-21100011000000000
χ342222-1222-12-122-1-2-2-2-2-122-1-1-1-2-22-1-121111-2-2001111-21122-1-1-1-1-2-21111-2-200000221100-1-1-1-1-211-1-1000211000-1-1000000000
χ352222-1222-12-122-1-2-2-2-2-1-2-2-1-1-1222-1-12-1-1-1-1-2-2001111-211-2-211-1-122-1-1-1-12200000-2-211001111-211110002-1-1000-1-1000000000
χ362222-1222-12-122-1-2-2-2-2-1-2-2-1-1-1-2-22-1-121111-2-20011112-1-1-2-211-1-1-2-211112200000221100-1-1-1-12-1-111000-2-1-100011000000000
χ372-22-2222-222-2-2-2-22i2i−2i−2i200-22-200-22-2200002i−2i002i2i−2i−2i0000000-22000000002-2000002i−2i000000000000000002-20000002i−2i0000
χ382-22-2222-222-2-2-2-22i2i−2i−2i200-22-200-22-2200002i−2i002i2i−2i−2i0000000-2200000000-22000002i−2i00000000000000000-22000000−2i2i0000
χ392-22-2222-222-2-2-2-2−2i−2i2i2i200-22-200-22-220000−2i2i00−2i−2i2i2i0000000-22000000002-200000−2i2i000000000000000002-2000000−2i2i0000
χ402-22-2222-222-2-2-2-2−2i−2i2i2i200-22-200-22-220000−2i2i00−2i−2i2i2i0000000-2200000000-2200000−2i2i00000000000000000-220000002i−2i0000
χ412-22-222-2222-2-2-2-22i2i−2i−2i22i−2i-22-2002-22-20000−2i2i002i2i−2i−2i0002i−2i2i−2i2-20000002-20000000−2i2i0000000002i−2i00002-200000000000000
χ422-22-222-2222-2-2-2-22i2i−2i−2i2−2i2i-22-2002-22-20000−2i2i002i2i−2i−2i000−2i2i−2i2i2-2000000-220000000−2i2i000000000−2i2i0000-2200000000000000
χ432-22-222-2222-2-2-2-2−2i−2i2i2i22i−2i-22-2002-22-200002i−2i00−2i−2i2i2i0002i−2i2i−2i2-2000000-2200000002i−2i0000000002i−2i0000-2200000000000000
χ442-22-222-2222-2-2-2-2−2i−2i2i2i2−2i2i-22-2002-22-200002i−2i00−2i−2i2i2i000−2i2i−2i2i2-20000002-200000002i−2i000000000−2i2i00002-200000000000000
χ452-22-2-12-22-121-2-212i2i−2i−2i-12i−2i1-110021-1-233−3−3−2i2i00−i−iii0−i3i32i−2i−ii-110033−3−32-20000000i−i00−i3−i3i3i30−i3i3−ii0000-110003−3000000000
χ462-22-2-12-22-121-2-212i2i−2i−2i-12i−2i1-110021-1-2−3−333−2i2i00−i−iii0i3−i32i−2i−ii-1100−3−3332-20000000i−i00i3i3−i3−i30i3−i3−ii0000-11000−33000000000
χ472-22-2-12-22-121-2-212i2i−2i−2i-1−2i2i1-110021-1-233−3−3−2i2i00−i−iii0i3−i3−2i2ii−i-110033−3−3-220000000i−i00−i3−i3i3i30i3−i3i−i00001-1000−33000000000
χ482-22-2-12-22-121-2-212i2i−2i−2i-1−2i2i1-110021-1-2−3−333−2i2i00−i−iii0−i3i3−2i2ii−i-1100−3−333-220000000i−i00i3i3−i3−i30−i3i3i−i00001-10003−3000000000
χ492-22-2-12-22-121-2-21−2i−2i2i2i-12i−2i1-110021-1-233−3−32i−2i00ii−i−i0−i3i32i−2i−ii-110033−3−3-220000000−ii00i3i3−i3−i30−i3i3−ii00001-1000−33000000000
χ502-22-2-12-22-121-2-21−2i−2i2i2i-12i−2i1-110021-1-2−3−3332i−2i00ii−i−i0i3−i32i−2i−ii-1100−3−333-220000000−ii00−i3−i3i3i30i3−i3−ii00001-10003−3000000000
χ512-22-2-12-22-121-2-21−2i−2i2i2i-1−2i2i1-110021-1-233−3−32i−2i00ii−i−i0i3−i3−2i2ii−i-110033−3−32-20000000−ii00i3i3−i3−i30i3−i3i−i0000-110003−3000000000
χ522-22-2-12-22-121-2-21−2i−2i2i2i-1−2i2i1-110021-1-2−3−3332i−2i00ii−i−i0−i3i3−2i2ii−i-1100−3−3332-20000000−ii00−i3−i3i3i30−i3i3i−i0000-11000−33000000000
χ532-2-222200-2-2-2-2222-22-2200-2-222−200002−22−2002-22-22-20000000002−22−22−2000002−22−2002-22−22−2000002-20000000002−20002−200
χ542-2-222200-2-2-2-2222-22-2200-2-222−200002−22−200-222-22-20000000002−22−22−200000−222−200-222−22−200000-22000000000−22000−2200
χ552-2-222200-2-2-2-2222-22-2200-2-22−220000−22−22002-22-22-2000000000−22−22−2200000−22−22002-2−22−22000002-2000000000−22000−2200
χ562-2-222200-2-2-2-2222-22-2200-2-22−220000−22−2200-222-22-2000000000−22−22−22000002−2−2200-22−22−2200000-220000000002−20002−200
χ572-2-222200-2-2-2-222-22-22200-2-222−200002−22−2002-2-22-220000000002−22−22−2000002−2−22002-2−22−2200000-220000000002−2000−2200
χ582-2-222200-2-2-2-222-22-22200-2-222−200002−22−200-22-22-220000000002−22−22−200000−22−2200-22−22−22000002-2000000000−220002−200
χ592-2-222200-2-2-2-222-22-22200-2-22−220000−22−22002-2-22-22000000000−22−22−2200000−222−2002-22−22−200000-22000000000−220002−200
χ602-2-222200-2-2-2-222-22-22200-2-22−220000−22−2200-22-22-22000000000−22−22−22000002−22−200-222−22−2000002-20000000002−2000−2200
χ6144444-2-4-44-24-2-240000-200-2-2-2002-4-420000004400000000000220000000000-4000000-2-200000000000000000200000000000
χ6244444-2-4-44-24-2-240000-200-2-2-2002-4-42000000-4-40000000000022000000000040000002200000000000000000-200000000000
χ634444-24-4-4-24-244-24444-200-2-2-200-422-40000-4-400-2-2-2-2000000022000000000000000220000000000000000000000000000000
χ644444-24-4-4-24-244-2-4-4-4-4-200-2-2-200-422-4000044002222000000022000000000000000-2-20000000000000000000000000000000
χ654444-2-244-2-2-2-2-2-2000014411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-2111100000000000000000-2111100000000000000000000
χ664444-2-244-2-2-2-2-2-20000144111-4-4-2-2-2-2222200000000-422-2-2-2-21122-1-1-1-1000000000000000002-1-11100000000000000000000
χ674444-2-244-2-2-2-2-2-200001-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-21111000000000000000002-1-1-1-100000000000000000000
χ684444-2-244-2-2-2-2-2-200001-4-4111-4-4-2-2-2-22222000000004-2-222221122-1-1-1-100000000000000000-211-1-100000000000000000000
χ6944-4-44400-4-444-4-44i−4i−4i4i4004-4-4000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ7044-4-44400-4-444-4-4−4i4i4i−4i4004-4-400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ7144-4-4-24002-4-24-424i−4i−4i4i-200-2220000006−6−660000−2i2i2i−2i000000000006−6−660000000000000−i6i6i6−i60000000000000000000000000
χ7244-4-4-24002-4-24-424i−4i−4i4i-200-222000000−666−60000−2i2i2i−2i00000000000−666−60000000000000i6−i6−i6i60000000000000000000000000
χ7344-4-4-24002-4-24-42−4i4i4i−4i-200-2220000006−6−6600002i−2i−2i2i000000000006−6−660000000000000i6−i6−i6i60000000000000000000000000
χ7444-4-4-24002-4-24-42−4i4i4i−4i-200-222000000−666−600002i−2i−2i2i00000000000−666−60000000000000−i6i6i6−i60000000000000000000000000
χ754-44-44-24-44-2-422-40000-2002-220024-4-200000000000000000002-2000000004-4000000000000000000000000-22000000000000
χ764-44-44-24-44-2-422-40000-2002-220024-4-200000000000000000002-200000000-440000000000000000000000002-2000000000000
χ774-44-44-2-444-2-422-40000-24i−4i2-2200-2-442000000000000000−2i2i4i−4i-2200000000000000000000000000−2i2i00000000000000000000
χ784-44-44-2-444-2-422-40000-2−4i4i2-2200-2-4420000000000000002i−2i−4i4i-22000000000000000000000000002i−2i00000000000000000000
χ794-44-4-244-4-242-4-424i4i−4i−4i-2002-2200-4-22400004i−4i00−2i−2i2i2i00000002-2000000000000000−2i2i0000000000000000000000000000000
χ804-44-4-244-4-242-4-42−4i−4i4i4i-2002-2200-4-2240000−4i4i002i2i−2i−2i00000002-20000000000000002i−2i0000000000000000000000000000000
χ814-44-4-2-2-44-2-22222000014i−4i-11-100-22-222323−23−23000000000−2i32i3−2i2i−2i2i1-100−3−333000000000000000000i3−i3i−i00000000000000000000
χ824-44-4-2-2-44-2-22222000014i−4i-11-100-22-22−23−2323230000000002i3−2i3−2i2i−2i2i1-10033−3−3000000000000000000−i3i3i−i00000000000000000000
χ834-44-4-2-2-44-2-2222200001−4i4i-11-100-22-222323−23−230000000002i3−2i32i−2i2i−2i1-100−3−333000000000000000000−i3i3−ii00000000000000000000
χ844-44-4-2-2-44-2-2222200001−4i4i-11-100-22-22−23−232323000000000−2i32i32i−2i2i−2i1-10033−3−3000000000000000000i3−i3−ii00000000000000000000
χ854-4-444-200-42-42-240000-20022-222−22000022−2222−22004-40000000000000−22−22−220000022−220000-2200000000000000000000−220000000
χ864-4-444-200-42-42-240000-20022-222−22000022−2222−2200-440000000000000−22−22−2200000−222200002-2000000000000000000002−20000000
χ874-4-444-200-42-42-240000-20022-2−22220000−2222−2222004-400000000000002−22−22−200000−22220000-22000000000000000000002−20000000
χ884-4-444-200-42-42-240000-20022-2−22220000−2222−222200-4400000000000002−22−22−20000022−2200002-200000000000000000000−220000000
χ894-4-44-24002-42-44-24-44-4-20022-222−220000−22−220000-22-2200000000022−22−22−22000000022−220000−22−220000000000000000000000000
χ904-4-44-24002-42-44-24-44-4-20022-2−222200002−22−20000-22-22000000000−22222−22−20000000−222200002−22−20000000000000000000000000
χ914-4-44-24002-42-44-2-44-44-20022-222−220000−22−2200002-22-200000000022−22−22−220000000−222200002−22−20000000000000000000000000
χ924-4-44-24002-42-44-2-44-44-20022-2−222200002−22−200002-22-2000000000−22222−22−2000000022−220000−22−220000000000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400002002220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-88-400-848-44-80000-400-444000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-40044-4-44400002002-2-200000026−26−26260000000000000000000−666−6000000000000000000000000000000000000000000
χ9688-8-8-4-40044-4-44400002002-2-2000000−262626−2600000000000000000006−6−66000000000000000000000000000000000000000000
χ978-88-8-4-48-8-4-444440000200-22-2004-44-40000000000000000000-22000000000000000000000000000000000000000000000000
χ988-8-88-4-4004444-4-40000200-2-2242−420000−2222−222200000000000000000−22222−22−2000000000000000000000000000000000000000000
χ998-8-88-4-4004444-4-40000200-2-22−4242000022−2222−220000000000000000022−22−22−22000000000000000000000000000000000000000000

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