Finite Group Databasebeta

← Group #72227380

Character table — Group #72227380

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11222222222444444444444444888888888899121212121212121216161616161616161818181818242424242424242424242424364848484872721122222222244444444444444488888888889912121212121212121616161616161616181818181824242424242424242424242436484848487272
order122334466883666668121212122424242444121224242424242422161616161616161612121212121212122448822444848484848484848866121244222664466886666668121212122424242444121224242424242422161616161616161612121212121212122448822444848484848484848866121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111
χ3111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-11-11-11111-1-1-1-1-11-11-1-1-1111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-11-11-11111-1-1-1-1-11-11-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-11-11-1-1-1-11111-1-11-11-1-1111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-11-11-1-1-1-11111-1-11-11-1-1
χ511111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1
χ611111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1
χ711111111111111111111111111-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-11-111111111111111111111111111111-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-11-1111
χ811111111111111111111111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-11-11-11111111111111111111111111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-11-11-111
χ911-111-1111-1-111-1-1-1-11-1-111-1-1-1-1i−i-111111-1-111ii−i−iii−i−iiiii−i−i−i−i-11-1-1-111-1-1ii−i−iii−i−i111-1-1i−i11-111-1111-1-111-1-1-1-11-1-111-1-1-1-1i−i-111111-1-111ii−i−iii−i−iiiii−i−i−i−i-11-1-1-111-1-1ii−i−iii−i−i111-1-1i−i
χ1011-111-1111-1-111-1-1-1-11-1-111-1-1-1-1i−i-111111-1-111−i−iii−i−iiiiiii−i−i−i−i-11-1-1-1-1-111−i−iii−i−iii1-1-111i−i11-111-1111-1-111-1-1-1-11-1-111-1-1-1-1i−i-111111-1-111−i−iii−i−iiiiiii−i−i−i−i-11-1-1-1-1-111−i−iii−i−iii1-1-111i−i
χ1111-111-1111-1-111-1-1-1-11-1-111-1-1-1-1i−i-111111-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i1-11111-1-11ii−i−i−i−iii-11-1-11−ii11-111-1111-1-111-1-1-1-11-1-111-1-1-1-1i−i-111111-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i1-11111-1-11ii−i−i−i−iii-11-1-11−ii
χ1211-111-1111-1-111-1-1-1-11-1-111-1-1-1-1i−i-111111-1-1-1-1−i−iiiii−i−iiiii−i−i−i−i1-1111-111-1−i−iiiii−i−i-1-111-1−ii11-111-1111-1-111-1-1-1-11-1-111-1-1-1-1i−i-111111-1-1-1-1−i−iiiii−i−iiiii−i−i−i−i1-1111-111-1−i−iiiii−i−i-1-111-1−ii
χ1311-111-1111-1-111-1-1-1-11-1-111-1-1-1-1−ii-111111-1-111ii−i−iii−i−i−i−i−i−iiiii-11-1-1-1-1-111ii−i−iii−i−i1-1-111−ii11-111-1111-1-111-1-1-1-11-1-111-1-1-1-1−ii-111111-1-111ii−i−iii−i−i−i−i−i−iiiii-11-1-1-1-1-111ii−i−iii−i−i1-1-111−ii
χ1411-111-1111-1-111-1-1-1-11-1-111-1-1-1-1−ii-111111-1-111−i−iii−i−iii−i−i−i−iiiii-11-1-1-111-1-1−i−iii−i−iii111-1-1−ii11-111-1111-1-111-1-1-1-11-1-111-1-1-1-1−ii-111111-1-111−i−iii−i−iii−i−i−i−iiiii-11-1-1-111-1-1−i−iii−i−iii111-1-1−ii
χ1511-111-1111-1-111-1-1-1-11-1-111-1-1-1-1−ii-111111-1-1-1-1ii−i−i−i−iii−i−i−i−iiiii1-1111-111-1ii−i−i−i−iii-1-111-1i−i11-111-1111-1-111-1-1-1-11-1-111-1-1-1-1−ii-111111-1-1-1-1ii−i−i−i−iii−i−i−i−iiiii1-1111-111-1ii−i−i−i−iii-1-111-1i−i
χ1611-111-1111-1-111-1-1-1-11-1-111-1-1-1-1−ii-111111-1-1-1-1−i−iiiii−i−i−i−i−i−iiiii1-11111-1-11−i−iiiii−i−i-11-1-11i−i11-111-1111-1-111-1-1-1-11-1-111-1-1-1-1−ii-111111-1-1-1-1−i−iiiii−i−i−i−i−i−iiiii1-11111-1-11−i−iiiii−i−i-11-1-11i−i
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χ18222222222-2-2222222-22222-2-2-2-20022-2-2-2-2-2-2-2-20000000000000000-2-2-2220000000000002000000222222222-2-2222222-22222-2-2-2-20022-2-2-2-2-2-2-2-20000000000000000-2-2-2220000000000002000000
χ1922222-2-222002222220-2-2-2-2000000-2-2000000222−22−22−22−2000000002-2-20000002−22−22−22−2000000022222-2-222002222220-2-2-2-2000000-2-2000000222−22−22−22−2000000002-2-20000002−22−22−22−20000000
χ2022222-2-222002222220-2-2-2-2000000-2-200000022−22−22−22−22000000002-2-2000000−22−22−22−22000000022222-2-222002222220-2-2-2-2000000-2-200000022−22−22−22−22000000002-2-2000000−22−22−22−220000000
χ2122222-2-222002222220-2-2-2-2000000-2-2000000-2-22−22−2−22−2200000000-2220000002−22−2−22−22000000022222-2-222002222220-2-2-2-2000000-2-2000000-2-22−22−2−22−2200000000-2220000002−22−2−22−220000000
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χ27222-1222-1222-1-1-12-1-12-12-12-1-12222-1-1-12-1-1-1-10022220000-12-1-1-12-1-1000002020-1-1-1-100000-10-1000222-1222-1222-1-1-12-1-12-12-12-1-12222-1-1-12-1-1-1-10022220000-12-1-1-12-1-1000002020-1-1-1-100000-10-1000
χ28222-1222-1222-1-1-12-1-12-12-12-1-12222-1-1-12-1-1-1-100-2-2-2-20000-12-1-1-12-1-100000-20-20111100000101000222-1222-1222-1-1-12-1-12-12-12-1-12222-1-1-12-1-1-1-100-2-2-2-20000-12-1-1-12-1-100000-20-20111100000101000
χ29222-1222-1222-1-1-12-1-12-12-12-1-122-2-2-1-1-12-1-1-1-100222200001-2111-21100000-20-20-1-1-1-100000101000222-1222-1222-1-1-12-1-12-12-12-1-122-2-2-1-1-12-1-1-1-100222200001-2111-21100000-20-20-1-1-1-100000101000
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χ3122-2222-2220022-2-2-2-2022-2-20000002-200000022i2−i2−i2i2i2−i2−i2i200000000-2-22000000i2−i2−i2i2i2−i2−i2i2000000022-2222-2220022-2-2-2-2022-2-20000002-200000022i2−i2−i2i2i2−i2−i2i200000000-2-22000000i2−i2−i2i2i2−i2−i2i20000000
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χ12122-2-12-22-12-2-2-1-11-21121-2-1211-2-2−2i2i1-1-12-1-111002i2i−2i−2i0000i−2iii−i2i−i−i00000-2020−i−iii0000010-1000-2-221-22-21-22211-12-1-1-2-121-2-1-1222i−2i-111-211-1-100−2i−2i2i2i0000−i2i−i−ii−2iii0000020-20ii−i−i00000-101000
χ12222-2-12-22-12-2-2-1-11-21121-2-1211-2-2−2i2i1-1-12-1-11100−2i−2i2i2i0000i−2iii−i2i−i−i0000020-20ii−i−i00000-101000-2-221-22-21-22211-12-1-1-2-121-2-1-1222i−2i-111-211-1-1002i2i−2i−2i0000−i2i−i−ii−2iii00000-2020−i−iii0000010-1000
χ1234444-2444-2-4-4-2-24-2-2-2-44-24-2-4-42200-2-2-422222000000000000000000000000000000000000000000-4-4-4-42-4-4-424422-42224-42-4244-2-200224-2-2-2-2-2000000000000000000000000000000000000000000
χ1244444-2-4-44-200-2-24-2-2-20-42-420000002200000000000022−2222−22000000000000000000000−22−220000000-4-4-4-4244-420022-422204-24-2000000-2-2000000000000−2222−22220000000000000000000002−22−20000000
χ1254444-2-4-44-200-2-24-2-2-20-42-4200000022000000000000−2222−22220000000000000000000002−22−20000000-4-4-4-4244-420022-422204-24-2000000-2-200000000000022−2222−22000000000000000000000−22−220000000
χ126444-2444-24-4-4-2-2-24-2-2-4-24-2422-4-400-2-22-42222000000000000000000000000000000000000000000-4-4-42-4-4-42-444222-42242-42-4-2-2440022-24-2-2-2-2000000000000000000000000000000000000000000
χ127444-24-4-4-2400-2-2-24-2-202-42-4000000220000000022−2222−22000000000000000000000−22−2200000000000-4-4-42-4442-400222-4220-24-24000000-2-200000000−2222−22220000000000000000000002−22−200000000000
χ128444-24-4-4-2400-2-2-24-2-202-42-40000002200000000−2222−22220000000000000000000002−22−200000000000-4-4-42-4442-400222-4220-24-24000000-2-20000000022−2222−22000000000000000000000−22−2200000000000
χ129444-2-244-2-24411-2-2114-2-2-2-2-2-2-2-24411-2-211110000000000-2-211-2-211000000000000000000000000-4-4-422-4-422-4-4-1-122-1-1-422222222-4-4-1-122-1-1-1-1000000000022-1-122-1-1000000000000000000000000
χ130444-2-244-2-24411-2-2114-2-2-2-2-2-2-2-2-4-411-2-21111000000000022-1-122-1-1000000000000000000000000-4-4-422-4-422-4-4-1-122-1-1-42222222244-1-122-1-1-1-10000000000-2-211-2-211000000000000000000000000
χ131444-2-244-2-2-4-411-2-211-4-2-2-2-22222001122-1-1-1-10000000000003-3003-3000000000000000000000000-4-4-422-4-42244-1-122-1-142222-2-2-2-200-1-1-2-21111000000000000-3300-33000000000000000000000000
χ132444-2-244-2-2-4-411-2-211-4-2-2-2-22222001122-1-1-1-1000000000000-3300-33000000000000000000000000-4-4-422-4-42244-1-122-1-142222-2-2-2-200-1-1-2-211110000000000003-3003-3000000000000000000000000
χ13344-44-24-44-200-2-2-422204-2-42000000-220000000000002i2−2i2−2i22i2000000000000000000000−i2i2i2−i20000000-4-44-42-44-4200224-2-2-20-424-20000002-2000000000000−2i22i22i2−2i2000000000000000000000i2−i2−i2i20000000
χ13444-44-24-44-200-2-2-422204-2-42000000-22000000000000−2i22i22i2−2i2000000000000000000000i2−i2−i2i20000000-4-44-42-44-4200224-2-2-20-424-20000002-20000000000002i2−2i2−2i22i2000000000000000000000−i2i2i2−i20000000
χ13544-44-2-444-244-2-2-4222-4-424-244-2-2002-2-4222-2-2000000000000000000000000000000000000000000-4-44-424-4-42-4-4224-2-2-244-2-42-4-42200-224-2-2-222000000000000000000000000000000000000000000
χ13644-4-244-4-2400-2-22-4220-242-4000000-22000000002i2−2i2−2i22i2000000000000000000000−i2i2i2−i200000000000-4-442-4-442-40022-24-2-202-4-240000002-200000000−2i22i22i2−2i2000000000000000000000i2−i2−i2i200000000000
χ13744-4-244-4-2400-2-22-4220-242-4000000-2200000000−2i22i22i2−2i2000000000000000000000i2−i2−i2i200000000000-4-442-4-442-40022-24-2-202-4-240000002-2000000002i2−2i2−2i22i2000000000000000000000−i2i2i2−i200000000000
χ13844-4-24-44-2444-2-22-422-42-4-24-2-244002-22-422-2-2000000000000000000000000000000000000000000-4-442-44-42-4-4-422-24-2-24-242-422-4-400-22-24-2-222000000000000000000000000000000000000000000
χ13944-4-2-2-44-2-2441122-1-1-422-2-2-2-2-2-200-1122-1-1110000000000003i−3i00−3i3i000000000000000000000000-4-44224-422-4-4-1-1-2-2114-2-2222222001-1-2-211-1-1000000000000−3i3i003i−3i000000000000000000000000
χ14044-4-2-2-44-2-2441122-1-1-422-2-2-2-2-2-200-1122-1-111000000000000−3i3i003i−3i000000000000000000000000-4-44224-422-4-4-1-1-2-2114-2-2222222001-1-2-211-1-10000000000003i−3i00−3i3i000000000000000000000000
χ14144-4-2-2-44-2-2-4-41122-1-1422-2-222224i−4i-11-2-211-1-10000000000−2i−2iii2i2i−i−i000000000000000000000000-4-44224-42244-1-1-2-211-4-2-222-2-2-2-2−4i4i1-122-1-11100000000002i2i−i−i−2i−2iii000000000000000000000000
χ14244-4-2-2-44-2-2-4-41122-1-1422-2-22222−4i4i-11-2-211-1-100000000002i2i−i−i−2i−2iii000000000000000000000000-4-44224-42244-1-1-2-211-4-2-222-2-2-2-24i−4i1-122-1-1110000000000−2i−2iii2i2i−i−i000000000000000000000000
χ1434-404400-4-42i2−2i24-40000000002i2−2i22i2−2i2000000002i2−2i24-400000000000000000002i2−2i20000000000000000000-440-4-40044−2i22i2-44000000000−2i22i2−2i22i200000000−2i22i2-440000000000000000000−2i22i20000000000000000000
χ1444-404400-4-42i2−2i24-40000000002i2−2i22i2−2i2000000002i2−2i2-440000000000000000000−2i22i20000000000000000000-440-4-40044−2i22i2-44000000000−2i22i2−2i22i200000000−2i22i24-400000000000000000002i2−2i20000000000000000000
χ1454-404400-4-4−2i22i24-4000000000−2i22i2−2i22i200000000−2i22i24-40000000000000000000−2i22i20000000000000000000-440-4-400442i2−2i2-440000000002i2−2i22i2−2i2000000002i2−2i2-4400000000000000000002i2−2i20000000000000000000
χ1464-404400-4-4−2i22i24-4000000000−2i22i2−2i22i200000000−2i22i2-4400000000000000000002i2−2i20000000000000000000-440-4-400442i2−2i2-440000000002i2−2i22i2−2i2000000002i2−2i24-40000000000000000000−2i22i20000000000000000000
χ147888-4-4-8-8-4-40022-4-42204444000000-2-2000000000000000000000000000000000000000000000000-8-8-844884400-2-244-2-20-4-4-4-400000022000000000000000000000000000000000000000000000000
χ14888-8-4-48-8-4-4002244-2-20-4-4440000002-2000000000000000000000000000000000000000000000000-8-8844-884400-2-2-4-422044-4-4000000-22000000000000000000000000000000000000000000000000
χ1498-808-400-844i2−4i2-440000000004i2−4i2−2i22i200000000−2i22i2000000000000000000000000000000000000000000-880-84008-4−4i24i24-4000000000−4i24i22i2−2i2000000002i2−2i2000000000000000000000000000000000000000000
χ1508-808-400-84−4i24i2-44000000000−4i24i22i2−2i2000000002i2−2i2000000000000000000000000000000000000000000-880-84008-44i2−4i24-40000000004i2−4i2−2i22i200000000−2i22i2000000000000000000000000000000000000000000
χ1518-80-48004-84i2−4i2-44000000000−2i22i24i2−4i200000000−2i22i2000000000000000000000000000000000000000000-8804-800-48−4i24i24-40000000002i2−2i2−4i24i2000000002i2−2i2000000000000000000000000000000000000000000
χ1528-80-48004-8−4i24i2-440000000002i2−2i2−4i24i2000000002i2−2i2000000000000000000000000000000000000000000-8804-800-484i2−4i24-4000000000−2i22i24i2−4i200000000−2i22i2000000000000000000000000000000000000000000
χ1538-80-4-400444i2−4i22-2006-600000−2i22i2−2i22i20000003i2−3i2i2−i2000000000000000000000000000000000000000000-8804400-4-4−4i24i2-2200-66000002i2−2i22i2−2i2000000−3i23i2−i2i2000000000000000000000000000000000000000000
χ1548-80-4-400444i2−4i22-200-6600000−2i22i2−2i22i2000000−3i23i2i2−i2000000000000000000000000000000000000000000-8804400-4-4−4i24i2-22006-6000002i2−2i22i2−2i20000003i2−3i2−i2i2000000000000000000000000000000000000000000
χ1558-80-4-40044−4i24i22-2006-6000002i2−2i22i2−2i2000000−3i23i2−i2i2000000000000000000000000000000000000000000-8804400-4-44i2−4i2-2200-6600000−2i22i2−2i22i20000003i2−3i2i2−i2000000000000000000000000000000000000000000
χ1568-80-4-40044−4i24i22-200-66000002i2−2i22i2−2i20000003i2−3i2−i2i2000000000000000000000000000000000000000000-8804400-4-44i2−4i2-22006-600000−2i22i2−2i22i2000000−3i23i2i2−i2000000000000000000000000000000000000000000

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