Finite Group Databasebeta

← Group #72227381

Character table — Group #72227381

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11222222222444444444444444888888888899121212121212121216161616161616161818181818242424242424242424242424364848484872721122222222244444444444444488888888889912121212121212121616161616161616181818181824242424242424242424242436484848487272
order122334466883666668121212122424242422121224242424242422161616161616161666666666244888888484848484848484882424242422222664466886666668121212122424242422121224242424242422161616161616161666666666244888888484848484848484882424242422
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
χ3111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1
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
χ711111111111111111111111111-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111111111111111111111111111-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111
χ811111111111111111111111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-111-1-11111111111111111111111111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-111-1-111
χ911-1111-111-1-11-1-1-1-11111-1-1-1-1-1-11-1-111111-1-111ii−i−iii−i−i11-1-111-1-1-11-1-1-1i−ii−iii−i−iii−i−i1i−ii−i1-111-1111-111-1-11-1-1-1-11111-1-1-1-1-1-11-1-111111-1-111ii−i−iii−i−i11-1-111-1-1-11-1-1-1i−ii−iii−i−iii−i−i1i−ii−i1-1
χ1011-1111-111-1-11-1-1-1-11111-1-1-1-1-1-11-1-111111-1-111−i−iii−i−iii11-1-111-1-1-11-1-1-1−ii−ii−i−iii−i−iii1−ii−ii1-111-1111-111-1-11-1-1-1-11111-1-1-1-1-1-11-1-111111-1-111−i−iii−i−iii11-1-111-1-1-11-1-1-1−ii−ii−i−iii−i−iii1−ii−ii1-1
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χ1211-1111-111-1-11-1-1-1-11111-1-1-1-1-1-11-1-111111-1-1-1-1−i−iiiii−i−i11-1-111-1-11-1111−iii−i−i−iiiii−i−i-1−iii−i-1111-1111-111-1-11-1-1-1-11111-1-1-1-1-1-11-1-111111-1-1-1-1−i−iiiii−i−i11-1-111-1-11-1111−iii−i−i−iiiii−i−i-1−iii−i-11
χ1311-1111-111-1-11-1-1-1-11111-1-1-1-1-1-1-11-111111-1-111ii−i−iii−i−i-1-111-1-111-11-1-1-1−ii−iiii−i−iii−i−i1−ii−ii-1111-1111-111-1-11-1-1-1-11111-1-1-1-1-1-1-11-111111-1-111ii−i−iii−i−i-1-111-1-111-11-1-1-1−ii−iiii−i−iii−i−i1−ii−ii-11
χ1411-1111-111-1-11-1-1-1-11111-1-1-1-1-1-1-11-111111-1-111−i−iii−i−iii-1-111-1-111-11-1-1-1i−ii−i−i−iii−i−iii1i−ii−i-1111-1111-111-1-11-1-1-1-11111-1-1-1-1-1-1-11-111111-1-111−i−iii−i−iii-1-111-1-111-11-1-1-1i−ii−i−i−iii−i−iii1i−ii−i-11
χ1511-1111-111-1-11-1-1-1-11111-1-1-1-1-1-1-11-111111-1-1-1-1ii−i−i−i−iii-1-111-1-1111-1111−iii−iii−i−i−i−iii-1−iii−i1-111-1111-111-1-11-1-1-1-11111-1-1-1-1-1-1-11-111111-1-1-1-1ii−i−i−i−iii-1-111-1-1111-1111−iii−iii−i−i−i−iii-1−iii−i1-1
χ1611-1111-111-1-11-1-1-1-11111-1-1-1-1-1-1-11-111111-1-1-1-1−i−iiiii−i−i-1-111-1-1111-1111i−i−ii−i−iiiii−i−i-1i−i−ii1-111-1111-111-1-11-1-1-1-11111-1-1-1-1-1-1-11-111111-1-1-1-1−i−iiiii−i−i-1-111-1-1111-1111i−i−ii−i−iiiii−i−i-1i−i−ii1-1
χ17222222222-2-2222222-22222-2-2-2-20022-2-2-2-2-2-2220000000000000000222-2-2000000000000-2000000222222222-2-2222222-22222-2-2-2-20022-2-2-2-2-2-2220000000000000000222-2-2000000000000-2000000
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χ2022222-2-222002222220-2-2-2-2000000-2-200000022−i2i2−i2i2−i2i2−i2i2000000002-2-2000000−i2i2−i2i2−i2i2−i2i2000000022222-2-222002222220-2-2-2-2000000-2-200000022−i2i2−i2i2−i2i2−i2i2000000002-2-2000000−i2i2−i2i2−i2i2−i2i20000000
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χ232222-1222-122-12-1-1-1-122-12-122-1-122-1-12-1-1-1-1-100000022222-12-1-1-1-1-10000000220000-1-1-1-1000-1-1002222-1222-122-12-1-1-1-122-12-122-1-122-1-12-1-1-1-1-100000022222-12-1-1-1-1-10000000220000-1-1-1-1000-1-100
χ242222-1222-122-12-1-1-1-122-12-122-1-122-1-12-1-1-1-1-1000000-2-2-2-22-12-1-1-1-1-10000000-2-20000111100011002222-1222-122-12-1-1-1-122-12-122-1-122-1-12-1-1-1-1-1000000-2-2-2-22-12-1-1-1-1-10000000-2-2000011110001100
χ252222-1222-122-12-1-1-1-122-12-122-1-1-2-2-1-12-1-1-1-1-10000002222-21-2111110000000-2-20000-1-1-1-100011002222-1222-122-12-1-1-1-122-12-122-1-1-2-2-1-12-1-1-1-1-10000002222-21-2111110000000-2-20000-1-1-1-10001100
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χ27222-1222-1222-1-12-1-1-12-12-12-1-12222-1-1-12-1-1-1-10022220000-12-12-1-1-1-1000002200-1-1-1-100000-1-10000222-1222-1222-1-12-1-1-12-12-12-1-12222-1-1-12-1-1-1-10022220000-12-12-1-1-1-1000002200-1-1-1-100000-1-10000
χ28222-1222-1222-1-12-1-1-12-12-12-1-12222-1-1-12-1-1-1-100-2-2-2-20000-12-12-1-1-1-100000-2-200111100000110000222-1222-1222-1-12-1-1-12-12-12-1-12222-1-1-12-1-1-1-100-2-2-2-20000-12-12-1-1-1-100000-2-200111100000110000
χ29222-1222-1222-1-12-1-1-12-12-12-1-122-2-2-1-1-12-1-1-1-100222200001-21-2111100000-2-200-1-1-1-100000110000222-1222-1222-1-12-1-1-12-12-12-1-122-2-2-1-1-12-1-1-1-100222200001-21-2111100000-2-200-1-1-1-100000110000
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χ3122-2222-222222-2-2-2-22-222-2-2222200-22-2-2-2-222220000000000000000-22-222000000000000-200000022-2222-222222-2-2-2-22-222-2-2222200-22-2-2-2-222220000000000000000-22-222000000000000-2000000
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χ128444-24-4-4-2400-2-24-2-2-202-42-40000002200000000−2i22i2−2i22i2000000000000000000000i2−i2i2−i200000000000-4-4-42-4442-40022-42220-24-24000000-2-2000000002i2−2i22i2−2i2000000000000000000000−i2i2−i2i200000000000
χ129444-2-244-2-2441-2-21114-2-2-2-2-2-2-2-24411-2-211110000000000-2-2-2-21111000000000000000000000000-4-4-422-4-422-4-4-122-1-1-1-422222222-4-4-1-122-1-1-1-100000000002222-1-1-1-1000000000000000000000000
χ130444-2-244-2-2441-2-21114-2-2-2-2-2-2-2-2-4-411-2-2111100000000002222-1-1-1-1000000000000000000000000-4-4-422-4-422-4-4-122-1-1-1-42222222244-1-122-1-1-1-10000000000-2-2-2-21111000000000000000000000000
χ131444-2-244-2-2-4-41-2-2111-4-2-2-2-22222001122-1-1-1-1000000000000003-33-3000000000000000000000000-4-4-422-4-42244-122-1-1-142222-2-2-2-200-1-1-2-2111100000000000000-33-33000000000000000000000000
χ132444-2-244-2-2-4-41-2-2111-4-2-2-2-22222001122-1-1-1-100000000000000-33-33000000000000000000000000-4-4-422-4-42244-122-1-1-142222-2-2-2-200-1-1-2-21111000000000000003-33-3000000000000000000000000
χ13344-44-24-44-244-2-4222-2-44-2-4244-2-2002-2-4222-2-2000000000000000000000000000000000000000000-4-44-42-44-42-4-424-2-2-224-424-2-4-42200-224-2-2-222000000000000000000000000000000000000000000
χ13444-44-2-444-200-2-4222-20-424-2000000-2200000000000022−22−2222000000000000000000000−222−20000000-4-44-424-4-420024-2-2-2204-2-420000002-2000000000000−222222−220000000000000000000002−2−220000000
χ13544-44-2-444-200-2-4222-20-424-2000000-22000000000000−222222−220000000000000000000002−2−220000000-4-44-424-4-420024-2-2-2204-2-420000002-200000000000022−22−2222000000000000000000000−222−20000000
χ13644-4-244-4-2444-22-422-2-4-242-4-2-244002-22-422-2-2000000000000000000000000000000000000000000-4-442-4-442-4-4-42-24-2-2242-4-2422-4-400-22-24-2-222000000000000000000000000000000000000000000
χ13744-4-24-44-2400-22-422-202-4-24000000-220000000022−22−2222000000000000000000000−222−200000000000-4-442-44-42-4002-24-2-220-242-40000002-200000000−222222−220000000000000000000002−2−2200000000000
χ13844-4-24-44-2400-22-422-202-4-24000000-2200000000−222222−220000000000000000000002−2−2200000000000-4-442-44-42-4002-24-2-220-242-40000002-20000000022−22−2222000000000000000000000−222−200000000000
χ13944-4-2-24-4-2-244122-1-11-4-2-222-2-2-2-200-1122-1-111000000000000003-3-33000000000000000000000000-4-4422-4422-4-4-1-2-211-1422-2-22222001-1-2-211-1-100000000000000-333-3000000000000000000000000
χ14044-4-2-24-4-2-244122-1-11-4-2-222-2-2-2-200-1122-1-11100000000000000-333-3000000000000000000000000-4-4422-4422-4-4-1-2-211-1422-2-22222001-1-2-211-1-1000000000000003-3-33000000000000000000000000
χ14144-4-2-24-4-2-2-4-4122-1-114-2-22222224-4-11-2-211-1-10000000000-2-22211-1-1000000000000000000000000-4-4422-442244-1-2-211-1-422-2-2-2-2-2-2-441-122-1-111000000000022-2-2-1-111000000000000000000000000
χ14244-4-2-24-4-2-2-4-4122-1-114-2-2222222-44-11-2-211-1-1000000000022-2-2-1-111000000000000000000000000-4-4422-442244-1-2-211-1-422-2-2-2-2-2-24-41-122-1-1110000000000-2-22211-1-1000000000000000000000000
χ1434-404400-4-422−2240000-40000022−2222−220000000022−224-4000000000000000000022−220000000000000000000-440-4-40044−2222-40000400000−2222−222200000000−2222-440000000000000000000−22220000000000000000000
χ1444-404400-4-422−2240000-40000022−2222−220000000022−22-440000000000000000000−22220000000000000000000-440-4-40044−2222-40000400000−2222−222200000000−22224-4000000000000000000022−220000000000000000000
χ1454-404400-4-4−222240000-400000−2222−222200000000−22224-40000000000000000000−22220000000000000000000-440-4-4004422−22-4000040000022−2222−220000000022−22-44000000000000000000022−220000000000000000000
χ1464-404400-4-4−222240000-400000−2222−222200000000−2222-44000000000000000000022−220000000000000000000-440-4-4004422−22-4000040000022−2222−220000000022−224-40000000000000000000−22220000000000000000000
χ147888-4-4-8-8-4-4002-4-422204444000000-2-2000000000000000000000000000000000000000000000000-8-8-844884400-244-2-2-20-4-4-4-400000022000000000000000000000000000000000000000000000000
χ14888-8-4-4-88-4-400244-2-22044-4-40000002-2000000000000000000000000000000000000000000000000-8-88448-84400-2-4-422-20-4-444000000-22000000000000000000000000000000000000000000000000
χ1498-808-400-8442−42-4000040000042−42−222200000000−2222000000000000000000000000000000000000000000-880-84008-4−424240000-400000−424222−220000000022−22000000000000000000000000000000000000000000
χ1508-808-400-84−4242-40000400000−424222−220000000022−22000000000000000000000000000000000000000000-880-84008-442−4240000-40000042−42−222200000000−2222000000000000000000000000000000000000000000
χ1518-80-48004-842−42-40000400000−222242−4200000000−2222000000000000000000000000000000000000000000-8804-800-48−424240000-40000022−22−42420000000022−22000000000000000000000000000000000000000000
χ1528-80-48004-8−4242-4000040000022−22−42420000000022−22000000000000000000000000000000000000000000-8804-800-4842−4240000-400000−222242−4200000000−2222000000000000000000000000000000000000000000
χ1538-80-4-4004442−422006-6-200000−2222−222200000032−322−2000000000000000000000000000000000000000000-8804400-4-4−4242-200-6620000022−2222−22000000−3232−22000000000000000000000000000000000000000000
χ1548-80-4-4004442−42200-66-200000−2222−2222000000−32322−2000000000000000000000000000000000000000000-8804400-4-4−4242-2006-620000022−2222−2200000032−32−22000000000000000000000000000000000000000000
χ1558-80-4-40044−42422006-6-20000022−2222−22000000−3232−22000000000000000000000000000000000000000000-8804400-4-442−42-200-66200000−2222−222200000032−322−2000000000000000000000000000000000000000000
χ1568-80-4-40044−4242200-66-20000022−2222−2200000032−32−22000000000000000000000000000000000000000000-8804400-4-442−42-2006-6200000−2222−2222000000−32322−2000000000000000000000000000000000000000000

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