Finite Group Databasebeta

← Group #13170535

Character table — Group #13170535

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222244444444444444444488888888888888999912121212121212121212121212121818181818181818181818181818242424242424242424242424242424242424242436363636363636363636108108
order12442333466612121212121233366666612121212121212121236666661212121212121222442224446666121212122466888888881212666666666612121212121212121212612242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-111-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ511111111111111111111111111111111111111111111111111-1-1-1-11-111-1111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-11111-1-1111-11111-1-111-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-11-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-111-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1111-1-11111-1111-1-11111-1-1-1-1-1-11111-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-11-1-11-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-111-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-111
χ911-1-1-11111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111111-1-111-1-1111-1-1-11111-1-1-1-1-111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11-1
χ1011-1-1-11111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111111-1-111-1-111-1-1-111111-1-1-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-11-1-111-1-111-11
χ1111-1-1-11111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111111-1-111-1-1-1-1111-1-1-1-1-11111-1111-1-111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-11-1-111-1-1111-1
χ1211-1-1-11111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111111-1-111-1-1-1-1-1111-1-1-1-11111-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1111-1-111-1-1-11
χ1311-1-1-11111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1111-11-11-111-1-1-1-1111-1-1-111-1-1-1-111111-11111-1-111-11-1-1-1-111-1-11-111-1-1-1-111-11
χ1411-1-1-11111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1111-1-1-11111-1-1-1-1111-1-1-1-1-11111-1-1111-1-1-111-1-1-1-1-1111-1-111111-1-1-11111-1-11-1
χ1511-1-1-11111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-111-1111-1-1-1-11111-1-11-1-1-1-1-11111-1-111-1111-1-111111-1-1-111-1-1-1-11-1-1-11111-1-1-11
χ1611-1-1-11111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-111-11-11-11-1-11111-1-11-1-1-111-1-1-1-11111-11-1-1-1-111-1-11-11111-1-1111-111-1-1-1-1111-1
χ172222222-1222-12222-1-12-1-122-12-1-1-122-1-1-1-122-12-1-1-1-1-12-1-1-1-1-1-12222220220-1-1-1-1-1-1-1-122-1-100000000-1-12200-1-1-1-1002200-1-1-1-100-1-10000000000
χ182222222-1222-12222-1-12-1-122-12-1-1-122-1-1-1-122-12-1-1-1-1-12-1-1-1-1-1-12222-2-20-2-201111111122-1-100000000-1-1-2-200111100-2-200111100-1-10000000000
χ192222222-1222-12222-1-12-1-122-12-1-1-122-1-1-1-122-12-1-1-1-1-12-1-1-1-1-1-1-2-2-2-22-202-20-1-111-1-111-2-21100000000112-200-1-111002-200-1-11100110000000000
χ202222222-1222-12222-1-12-1-122-12-1-1-122-1-1-1-122-12-1-1-1-1-12-1-1-1-1-1-1-2-2-2-2-220-22011-1-111-1-1-2-2110000000011-220011-1-100-220011-1-100110000000000
χ21222222-1222-1222-1-122-12-12-12-12-12-1-122-1-12-1-1-12-1-1-1-1-12-1-1-1-1-1000002202200220022000000002222000-12-100-1-1-1-10-12-100-1-1-1-1000000-1-1-1-100
χ22222222-1222-1222-1-122-12-12-12-12-12-1-122-1-12-1-1-12-1-1-1-1-12-1-1-1-1-1000002-202-20022002200000000-2-2-2-2000-1-2100-1-1110-1-2100-1-111000000111100
χ23222222-1222-1222-1-122-12-12-12-12-12-1-122-1-12-1-1-12-1-1-1-1-12-1-1-1-1-100000-220-2200-2-200-2-200000000-2-2-2-200012-10011-1-1012-10011-1-1000000111100
χ24222222-1222-1222-1-122-12-12-12-12-12-1-122-1-12-1-1-12-1-1-1-1-12-1-1-1-1-100000-2-20-2-200-2-200-2-20000000022220001-2100111101-21001111000000-1-1-1-100
χ2522222-1222-122-1-12222-1-12-122-1-122-1-1-1-122-12-1-1-12-1-1-1-1-12-1-1-1-100002022022200220000002222000000-10-12-1-100-1-1-10-12-1-100-1-100-1-1-1-1000000
χ2622222-1222-122-1-12222-1-12-122-1-122-1-1-1-122-12-1-1-12-1-1-1-1-12-1-1-1-1000020-220-2220022000000-2-2-2-2000000-101-2-1-10011-101-2-1-10011001111000000
χ2722222-1222-122-1-12222-1-12-122-1-122-1-1-1-122-12-1-1-12-1-1-1-1-12-1-1-1-10000-202-202-2-200-2-2000000-2-2-2-200000010-121100-1-110-121100-1-1001111000000
χ2822222-1222-122-1-12222-1-12-122-1-122-1-1-1-122-12-1-1-12-1-1-1-1-12-1-1-1-10000-20-2-20-2-2-200-2-20000002222000000101-2110011101-211001100-1-1-1-1000000
χ292222-2222-2222222222222-2-2-2222-2222222-2-22-2-2-2-2-22-2-2-2-2-222222200000000000000-2-222000000002200000000000000000000-2-20000000000
χ302222-2222-2222222222222-2-2-2222-2222222-2-22-2-2-2-2-22-2-2-2-2-222-2-2-2-20000000000000022-2-200000000-2-200000000000000000000220000000000
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χ332222-222-1-222-12222-1-12-1-1-2-212-1-1122-1-1-1-1-2-2-1-21111-1-21111-1-1-2-2-2-2000000−i3i3i3−i3−i3i3i3−i3221100000000110000−i3i3i3−i3000000−i3i3i3−i300-1-10000000000
χ342222-222-1-222-12222-1-12-1-1-2-212-1-1122-1-1-1-1-2-2-1-21111-1-21111-1-1-2-2-2-2000000i3−i3−i3i3i3−i3−i3i3221100000000110000i3−i3−i3i3000000i3−i3−i3i300-1-10000000000
χ3522-2-22222-2222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-222-2-2000000000000002-22200000000-2-2000000000000000000002-20000000000
χ3622-2-22222-2222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-22200000000000000-22-2-2000000002200000000000000000000-220000000000
χ3722-2-2222-1-222-1-2-2-2-2112-1-122-12-1-11-2-21111-2-2-12-1-1-1-1-1-211111122-2-2000000−i3i3−i3i3i3−i3i3−i32-2-1-100000000110000−i3i3−i3i3000000i3−i3i3−i300-110000000000
χ3822-2-2222-1-222-1-2-2-2-2112-1-122-12-1-11-2-21111-2-2-12-1-1-1-1-1-211111122-2-2000000i3−i3i3−i3−i3i3−i3i32-2-1-100000000110000i3−i3i3−i3000000−i3i3−i3i300-110000000000
χ3922-2-2222-1-222-1-2-2-2-2112-1-122-12-1-11-2-21111-2-2-12-1-1-1-1-1-2111111-2-222000000−i3i3i3−i3i3−i3−i3i3-221100000000-1-10000−i3i3i3−i3000000i3−i3−i3i3001-10000000000
χ4022-2-2222-1-222-1-2-2-2-2112-1-122-12-1-11-2-21111-2-2-12-1-1-1-1-1-2111111-2-222000000i3−i3−i3i3−i3i3i3−i3-221100000000-1-10000i3−i3−i3i3000000−i3i3i3−i3001-10000000000
χ4122-2-2-222-1222-1-2-2-2-2112-1-1-2-212-1-1-1-2-2111122-1-21111-12-1-1-1-11122-2-2220-2-20-1-1-1-11111-22-1-100000000112200-1-1-1-100-2-2001111001-10000000000
χ4222-2-2-222-1222-1-2-2-2-2112-1-1-2-212-1-1-1-2-2111122-1-21111-12-1-1-1-11122-2-2-2-202201111-1-1-1-1-22-1-10000000011-2-2001111002200-1-1-1-1001-10000000000
χ4322-2-2-222-1222-1-2-2-2-2112-1-1-2-212-1-1-1-2-2111122-1-21111-12-1-1-1-111-2-2222-20-220-1-11111-1-12-21100000000-1-12-200-1-11100-220011-1-100-110000000000
χ4422-2-2-222-1222-1-2-2-2-2112-1-1-2-212-1-1-1-2-2111122-1-21111-12-1-1-1-111-2-222-2202-2011-1-1-1-1112-21100000000-1-1-220011-1-1002-200-1-11100-110000000000
χ4522-2-2-22-1222-12-2-211-2-2-12-1-21-2-12-1211-2-2112-1-11-2111-1-12-1-1-11100000220-2-2002200-2-20000000022-2-2000-12-100-1-1-1-101-21001111000000-1-11100
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χ4722-2-2-22-1222-12-2-211-2-2-12-1-21-2-12-1211-2-2112-1-11-2111-1-12-1-1-11100000-2202-200-2-2002200000000-2-22200012-10011-1-10-1-2100-1-11100000011-1-100
χ4822-2-2-22-1222-12-2-211-2-2-12-1-21-2-12-1211-2-2112-1-11-2111-1-12-1-1-11100000-2-202200-2-200220000000022-2-20001-210011110-12-100-1-1-1-1000000-1-11100
χ4922-2-2-2-1222-12211-2-2-2-2-1-121-2-2-1-1221111-2-2-12-111-211-1-1-12-1-1110000202-20-22200-2-200000022-2-2000000-10-12-1-100-1-1101-211001100-1-111000000
χ5022-2-2-2-1222-12211-2-2-2-2-1-121-2-2-1-1221111-2-2-12-111-211-1-1-12-1-111000020-2-2022200-2-2000000-2-222000000-101-2-1-1001110-121100-1-10011-1-1000000
χ5122-2-2-2-1222-12211-2-2-2-2-1-121-2-2-1-1221111-2-2-12-111-211-1-1-12-1-1110000-20220-2-2-20022000000-2-22200000010-121100-1-1-101-2-1-100110011-1-1000000
χ5222-2-2-2-1222-12211-2-2-2-2-1-121-2-2-1-1221111-2-2-12-111-211-1-1-12-1-1110000-20-2202-2-2002200000022-2-2000000101-2110011-10-12-1-100-1-100-1-111000000
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χ552-22i−2i02220-2-2-22i−2i2i−2i2i−2i222000-2-2-202i−2i2i−2i2i−2i00200000-2000002i−2i-22−2i2i0000000000000000-222−2−i2i2−22i2−i2−2i2i00000000000000000000002−2−i2i2−22i2−i200
χ562-22i−2i02220-2-2-22i−2i2i−2i2i−2i222000-2-2-202i−2i2i−2i2i−2i00200000-2000002i−2i-22−2i2i0000000000000000-22−22i2−i22−2−i2i2−2i2i0000000000000000000000−22i2−i22−2−i2i200
χ572-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i222000-2-2-20−2i2i−2i2i−2i2i00200000-200000−2i2i2-2−2i2i00000000000000002-22−2i2−i22−2i2−i2−2i2i00000000000000000000002−2i2−i22−2i2−i200
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χ8544-4-4-4-24-24-24-222-4-422-21-22-42-21-2-222-1-122-2412-12-1-11-21-211-1-10000400-400-2-200220000000000000000-20001100002000-1-10000000000000000
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χ8744-4-4-4-2-244-2-242222-4-41-2-222-41-2-24-1-12222-2-21-122-1-111-2-211-1-1000000400-4000000000000000000000000-2-200001100220000-1-1000000000000
χ8844-4-4-4-2-244-2-242222-4-41-2-222-41-2-24-1-12222-2-21-122-1-111-2-211-1-1000000-4004000000000000000000000000220000-1-100-2-2000011000000000000
χ894-44i−4i044-20-4-424i−4i4i−4i−2i2i4-2-2000-42204i−4i−2i2i−2i2i00-200000200000−2i2i4-44i−4i0000000000000000-2200000000−2i2i00000000000000000000000000000000
χ904-44i−4i044-20-4-424i−4i4i−4i−2i2i4-2-2000-42204i−4i−2i2i−2i2i00-200000200000−2i2i-44−4i4i00000000000000002-2000000002i−2i00000000000000000000000000000000
χ914-44i−4i04-240-42-44i−4i−2i2i4i−4i-24-20002-420−2i2i4i−4i−2i2i00-200000200000−2i2i0000000000000000000000000022−22−2i22i20000000000000000000000000000−22i2−i200
χ924-44i−4i04-240-42-44i−4i−2i2i4i−4i-24-20002-420−2i2i4i−4i−2i2i00-200000200000−2i2i00000000000000000000000000−22222i2−2i200000000000000000000000000002−2−i2i200
χ934-44i−4i0-24402-4-4−2i2i4i−4i4i−4i-2-2400022-40−2i2i−2i2i4i−4i00-200000200000−2i2i000000000000000000000022−22−2i22i20000000000000000000000000000−22i2−i2000000
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χ954-4−4i4i044-20-4-42−4i4i−4i4i2i−2i4-2-2000-4220−4i4i2i−2i2i−2i00-2000002000002i−2i4-4−4i4i0000000000000000-22000000002i−2i00000000000000000000000000000000
χ964-4−4i4i044-20-4-42−4i4i−4i4i2i−2i4-2-2000-4220−4i4i2i−2i2i−2i00-2000002000002i−2i-444i−4i00000000000000002-200000000−2i2i00000000000000000000000000000000
χ974-4−4i4i04-240-42-4−4i4i2i−2i−4i4i-24-20002-4202i−2i−4i4i2i−2i00-2000002000002i−2i0000000000000000000000000022−222i2−2i20000000000000000000000000000−22−i2i200
χ984-4−4i4i04-240-42-4−4i4i2i−2i−4i4i-24-20002-4202i−2i−4i4i2i−2i00-2000002000002i−2i00000000000000000000000000−2222−2i22i200000000000000000000000000002−2i2−i200
χ994-4−4i4i0-24402-4-42i−2i−4i4i−4i4i-2-2400022-402i−2i2i−2i−4i4i00-2000002000002i−2i000000000000000000000022−222i2−2i20000000000000000000000000000−22−i2i2000000
χ1004-4−4i4i0-24402-4-42i−2i−4i4i−4i4i-2-2400022-402i−2i2i−2i−4i4i00-2000002000002i−2i0000000000000000000000−2222−2i22i200000000000000000000000000002−2i2−i2000000
χ10188888-4-4-48-4-4-4-4-4-4-4-4-4222-4-4-4222-4222222-4-4-1222-1-1-1222-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1028888-8-4-4-4-8-4-4-4-4-4-4-4-4-4222444222422222244-1-2-2-211-1-2-2-211-1-10000000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-4-4-8-4-4-4444444222-4-4-42224-2-2-2-2-2-244-1222-1-1-1-2-2-211110000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-8-4-4-48-4-4-4444444222444222-4-2-2-2-2-2-2-4-4-1-2-2-211-1222-1-1110000000000000000000000000000000000000000000000000000000000000000
χ1058-88i−8i08-4-40-8448i−8i−4i4i−4i4i-4-4200044-20−4i4i−4i4i2i−2i00200000-2000002i−2i0000000000000000000000000000000000000000000000000000000000000000
χ1068-88i−8i0-48-404-84−4i4i8i−8i−4i4i-42-40004-240−4i4i2i−2i−4i4i00200000-2000002i−2i0000000000000000000000000000000000000000000000000000000000000000
χ1078-88i−8i0-4-48044-8−4i4i−4i4i8i−8i2-4-4000-24402i−2i−4i4i−4i4i00200000-2000002i−2i0000000000000000000000000000000000000000000000000000000000000000
χ1088-88i−8i0-4-4-40444−4i4i−4i4i−4i4i222000-2-2-202i−2i2i−2i2i−2i00-1000−3i33i3100033−33−ii0000000000000000000000000000000000000000000000000000000000000000
χ1098-88i−8i0-4-4-40444−4i4i−4i4i−4i4i222000-2-2-202i−2i2i−2i2i−2i00-10003i3−3i31000−3333−ii0000000000000000000000000000000000000000000000000000000000000000
χ1108-8−8i8i08-4-40-844−8i8i4i−4i4i−4i-4-4200044-204i−4i4i−4i−2i2i00200000-200000−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ1118-8−8i8i0-48-404-844i−4i−8i8i4i−4i-42-40004-2404i−4i−2i2i4i−4i00200000-200000−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ1128-8−8i8i0-4-48044-84i−4i4i−4i−8i8i2-4-4000-2440−2i2i4i−4i4i−4i00200000-200000−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ1138-8−8i8i0-4-4-404444i−4i4i−4i4i−4i222000-2-2-20−2i2i−2i2i−2i2i00-1000−3i33i31000−3333i−i0000000000000000000000000000000000000000000000000000000000000000
χ1148-8−8i8i0-4-4-404444i−4i4i−4i4i−4i222000-2-2-20−2i2i−2i2i−2i2i00-10003i3−3i3100033−33i−i0000000000000000000000000000000000000000000000000000000000000000

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