Finite Group Databasebeta

← Group #72228310

Character table — Group #72228310

Order 4608.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111223333333366668888888899991212121212121212121212121212121216161616181824242424242424243636363636363636363636363636363636363636363636363636363636363636484848486464646464646464727272727272727296969696969696969696969696969696
order124424222244442244336612121212224422224444444444446612122466661212121222222244444444444444444444444444661212366612121212244444446666121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-11111-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ3111111111111111111111111111111-1-111-1-111-1-1-1-1111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ51111-1-111111111-1-1-1-11111111111111-11-11-11-111-1-111-1-1-1-1-1-1-1-1111111111-11-1111-11-11111-1-111-1-1111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-1
χ61111-1-111111111-1-1-1-11111111111111-1-111-1-1111-1-1-1-111-1-1-1-1-1-1111111111-1-11-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1111111111-1-111-1-1111-1-1-1-111
χ71111-1-111111111-1-1-1-1111111111111-111-1-111-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111111111-111-1-111-1-1-11111-1-1
χ81111-1-111111111-1-1-1-1111111111111-11-11-11-11-1-111-1-111-1-1-1-1-1-111111111-11-1111-11-1111-1-111-1-111111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-111
χ911-1-11-11111-1-1-1-111-1-11111-1-1-1-111-1-11-11-1-11-111-11-11-11-111-1-11-11111-1-1-1-11-11-111-11-11-1-11-11-11-11-11111-1-1-1-111-1-111-1-11111-1-1-1-11-111-1-11-11-11-1-11-111-11-11-11-1
χ1011-1-11-11111-1-1-1-111-1-11111-1-1-1-111-1-11-1-11-111-11-11-1-11-1111-1-11-11111-1-1-1-11-1-11-1-1-111-1111-11-1-11-11-1-1-1-11111-1-11111-1-11111-1-1-1-1-11-1-111-111-1-11-111-11-11-1-11-11
χ1111-1-11-11111-1-1-1-111-1-11111-1-1-1-111-1-1-111-11-1-11-11-111-11-111-1-11-11111-1-1-1-1-111-1-1-11-1-1111-11-111-11-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-11-1-111-11-111-11-1-11-11-111-11-1
χ1211-1-11-11111-1-1-1-111-1-11111-1-1-1-111-1-1-11-111-11-1-11-11-11-1111-1-11-11111-1-1-1-1-11-11111-11-1-1-1-11-11-11-111111-1-1-1-111-1-111-1-11111-1-1-1-11-111-1-11-1-11-111-11-1-11-11-11-11
χ1311-1-1-111111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11-1-111-1-11-1-111-111111-1-1-1-1111111-1-1-1-1-1-11-1-111-1-111111-1-1-1-111-1-1-1-1111-1-11-1-111-11-1-111-111111-1-1-1-11-1-111-1-11
χ1411-1-1-111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1111-1-11-111-1-1-111-111111-1-1-1-111-1-1-1-1-1-111111-1-11-111-1-1-1-1-11111-1-111-1-1111-1-11-1-1111-111-1-11-111-1-1-1-1111-1-11-111-1
χ1511-1-1-111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-111-11-1-11-1-111-111111-1-1-1-1-1-111-1-111-1-111-111-11-1-11-1-1-1-11111-1-111-1-1111-1-11-1-1111-111-1-11-1-1-11111-1-1-111-11-1-11
χ1611-1-1-111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-111-1-111-1-1-111-111111-1-1-1-1-1-1-1-1111111-1-1-111-1-111-11111-1-1-1-111-1-1-1-1111-1-11-1-111-11-1-111-11-1-1-1-11111-111-1-111-1
χ172222222222222222222-12-122-1-1222200220022000022222-12-12222-1-122-1-1002200002200000022220000000000002-12-1-1-1-1-1-1-1-1-10000000000-1-100-1-10000-1-1-1-1
χ182222222222222222222-12-122-1-1222200-2-200-2-20000-2-2-2-22-12-12222-1-122-1-100-2-20000-2-2000000-2-2-2-20000000000002-12-1-1-1-1-1-1-1-1-1000000000011001100001111
χ19222222222222222222-12-12-1-12222222200220022220000-12-1222-1-122-1-12222000022000022220000000000000000-12-12-1-1-1-1-1-1-1-100000000-1-100-1-100-1-1-1-10000
χ20222222222222222222-12-12-1-1222222-2-200-2-200-2-2-2-20000-12-1222-1-122-1-122-2-20000-2-20000-2-2-2-20000000000000000-12-12-1-1-1-1-1-1-1-1000000001100110011110000
χ212222-2-222222222-2-2-2-22-12-122-1-12222002-2002-2000022-2-2-21-21-2-222-1-122-1-1002-200002-200000022-2-2000000000000-21-21-111-1-1-1110000000000-1100-110000-1-111
χ222222-2-222222222-2-2-2-22-12-122-1-1222200-2200-220000-2-222-21-21-2-222-1-122-1-100-220000-22000000-2-222000000000000-21-21-111-1-1-11100000000001-1001-1000011-1-1
χ232222-2-222222222-2-2-2-2-12-12-1-12222222-2002-20022-2-200001-21-2-2-2-1-122-1-1222-200002-2000022-2-200000000000000001-21-2-111-1-1-11100000000-1100-1100-1-1110000
χ242222-2-222222222-2-2-2-2-12-12-1-1222222-2200-2200-2-22200001-21-2-2-2-1-122-1-122-220000-220000-2-22200000000000000001-21-2-111-1-1-111000000001-1001-10011-1-10000
χ2522-2-22-22222-2-2-2-222-2-22-12-1-2-21122-2-2002-200-2200002-22-22-1-212-222-1-1-2-211002-20000-220000002-22-20000000000002-1-21-1-1-1-111110000000000-11001-10000-11-11
χ2622-2-22-22222-2-2-2-222-2-22-12-1-2-21122-2-200-22002-20000-22-222-1-212-222-1-1-2-21100-2200002-2000000-22-220000000000002-1-21-1-1-1-1111100000000001-100-1100001-11-1
χ2722-2-22-22222-2-2-2-222-2-2-12-1211-2-222-2-22-200-22002-22-20000-121-22-2-1-12211-2-22-20000-2200002-22-20000000000000000-121-2-1-1-1-1111100000000-11001-100-11-110000
χ2822-2-22-22222-2-2-2-222-2-2-12-1211-2-222-2-2-22002-200-22-220000-121-22-2-1-12211-2-2-2200002-20000-22-220000000000000000-121-2-1-1-1-11111000000001-100-11001-11-10000
χ2922-2-2-222222-2-2-2-2-2-2222-12-1-2-21122-2-2002200-2-200002-2-22-212-1-2222-1-1-2-21100220000-2-20000002-2-22000000000000-212-1-111-111-1-10000000000-1-100110000-111-1
χ3022-2-2-222222-2-2-2-2-2-2222-12-1-2-21122-2-200-2-200220000-222-2-212-1-2222-1-1-2-21100-2-2000022000000-222-2000000000000-212-1-111-111-1-100000000001100-1-100001-1-11
χ3122-2-2-222222-2-2-2-2-2-222-12-1211-2-222-2-22200-2-2002-2-2200001-2-12-22-1-12211-2-2220000-2-200002-2-2200000000000000001-2-12-111-111-1-100000000-1-1001100-111-10000
χ3222-2-2-222222-2-2-2-2-2-222-12-1211-2-222-2-2-2-2002200-222-200001-2-12-22-1-12211-2-2-2-20000220000-222-200000000000000001-2-12-111-111-1-1000000001100-1-1001-1-110000
χ332-22i−2i0022-2-22i2i−2i−2i000022-2-22i−2i2i−2i2-22i−2i00000000000000000000002-22-22i−2i2i−2i00002-200002i−2i0000000022-2-22i2i−2i−2i2-22i−2i0000200-22i−2i00000000000000000000000000
χ342-22i−2i0022-2-22i2i−2i−2i000022-2-22i−2i2i−2i2-22i−2i00000000000000000000002-22-22i−2i2i−2i0000-220000−2i2i00000000-2-222−2i−2i2i2i-22−2i2i0000200-22i−2i00000000000000000000000000
χ352-2−2i2i0022-2-2−2i−2i2i2i000022-2-2−2i2i−2i2i2-2−2i2i00000000000000000000002-22-2−2i2i−2i2i00002-20000−2i2i0000000022-2-2−2i−2i2i2i2-2−2i2i0000200-2−2i2i00000000000000000000000000
χ362-2−2i2i0022-2-2−2i−2i2i2i000022-2-2−2i2i−2i2i2-2−2i2i00000000000000000000002-22-2−2i2i−2i2i0000-2200002i−2i00000000-2-2222i2i−2i−2i-222i−2i0000200-2−2i2i00000000000000000000000000
χ373333333-13-13-13-13-13-103030033-1-1-1-1331133113333-1-1-1-10303-1-100-1-100-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-11-11-11-1-1-1-1-10-10-100000000111-11-1-1-1001100110000-1-1-1-1
χ383333333-13-13-13-13-13-103030033-1-1-1-133-1-133-1-1333311110303-1-100-1-100-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11-1111110-10-100000000-1-1-11-111100-1-100-1-100001111
χ393333333-13-13-13-13-13-103030033-1-1-1-1-3-311-3-311-3-3-3-3-1-1-1-10303-1-100-1-100-1-11111-1-11111-1-11111-1-1-1-1-11-11-11-1111110-10-100000000-1-1-11-1111001100110000-1-1-1-1
χ403333333-13-13-13-13-13-103030033-1-1-1-1-3-3-1-1-3-3-1-1-3-3-3-311110303-1-100-1-100-1-111-1-11111-1-111111111111-11-11-11-1-1-1-1-10-10-100000000111-11-1-1-100-1-100-1-100001111
χ41333333-13-13-13-13-13-1330303300-1-1-1-111331133-1-1-1-133333030-1-1-1-100-1-10011-1-11111-1-111-1-1-1-1-1-1-1-1-11-11-11-11-1-1-1-1-10-100000000011-11-11-1-111001100-1-1-1-10000
χ42333333-13-13-13-13-13-1330303300-1-1-1-111-3-311-3-3-1-1-1-1-3-3-3-33030-1-1-1-100-1-1001111-1-11111-1-1-1-1-1-111111-11-11-11-11111-10-1000000000-1-11-11-11111001100-1-1-1-10000
χ43333333-13-13-13-13-13-1330303300-1-1-1-1-1-133-1-133111133333030-1-1-1-100-1-100-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-11-11-11111-10-1000000000-1-11-11-111-1-100-1-10011110000
χ44333333-13-13-13-13-13-1330303300-1-1-1-1-1-1-3-3-1-1-3-31111-3-3-3-33030-1-1-1-100-1-100-1-11111-1-1111111111111-11-11-11-11-1-1-1-1-10-100000000011-11-11-1-1-1-100-1-10011110000
χ453333-3-33-13-13-13-1-31-3103030033-1-1-1-13-31-13-31-133-3-3-1-1110-30-31100-1-100-1-1-111-111-111-111-1-111-1-1111-11-11-11-1-1-1-1-1010100000000-1-1-11-1111001-1001-10000-1-111
χ463333-3-33-13-13-13-1-31-3103030033-1-1-1-13-3-113-3-1133-3-311-1-10-30-31100-1-100-1-1-11-11-1-1-11-11-1-1-1-11111-1-1-11-11-11-111111010100000000111-11-1-1-100-1100-11000011-1-1
χ473333-3-33-13-13-13-1-31-3103030033-1-1-1-1-331-1-331-1-3-333-1-1110-30-31100-1-100-1-11-11-1-1-11-11-1-1-111-1-1-1-111-11-11-11-111111010100000000111-11-1-1-1001-1001-10000-1-111
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χ493333-3-3-13-13-13-131-31-330303300-1-1-1-11-13-31-13-3-1-11133-3-3-30-3011-1-100-1-1001-1-11111-1-1111-1-111-1-111-11-11-11-11-1-1-1-1101000000000-1-11-11-1111-1001-100-1-1110000
χ503333-3-3-13-13-13-131-31-330303300-1-1-1-11-1-331-1-33-1-111-3-333-30-3011-1-100-1-1001-11-1-1-11-11-1-1-1-1-11111-1-11-11-11-11-1111110100000000011-11-11-1-11-1001-100-1-1110000
χ513333-3-3-13-13-13-131-31-330303300-1-1-1-1-113-3-113-311-1-133-3-3-30-3011-1-100-1-100-11-11-1-1-11-11-1-111-1-1-1-1111-11-11-11-1111110100000000011-11-11-1-1-1100-110011-1-10000
χ523333-3-3-13-13-13-131-31-330303300-1-1-1-1-11-33-11-3311-1-1-3-333-30-3011-1-100-1-100-111-111-111-11111-1-111-1-1-11-11-11-11-1-1-1-1101000000000-1-11-11-111-1100-110011-1-10000
χ5333-3-33-33-13-1-31-313-1-31030300-3-3-1-1113-31-1-33-113-33-3-11-11030-3-1100-1-10011-111-1111-1-11-1-1-11-11-11-111-11-1-11-11-1-1110-101000000001-11-1-11-11001-100-110000-11-11
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χ5533-3-33-33-13-1-31-313-1-31030300-3-3-1-111-331-13-3-11-33-33-11-11030-3-1100-1-100111-11-1-1-1-11-11111-11-1-11-11-11-111-11-111-1-10-10100000000-11-111-11-1001-100-110000-11-11
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χ5733-3-33-3-13-131-31-3-131-33030-3-300-1-1111-13-3-11-33-11-113-33-330-30-11-1-10011001-1-1111-111-1-1-1-11-11-11-11-11-111-11-1-1-111-1010000000001-1-111-1-111-100-1100-11-110000
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χ5933-3-33-3-13-131-31-3-131-33030-3-300-1-111-113-31-1-331-11-13-33-330-30-11-1-1001100-11-11-1-11-11-1111-11-1-11-111-11-1-11-1111-1-1-101000000000-111-1-111-1-11001-1001-11-10000
χ6033-3-33-3-13-131-31-3-131-33030-3-300-1-111-11-331-13-31-11-1-33-3330-30-11-1-1001100-111-1111-1-11-1-11-11-11-11-1-11-111-11-1-1-111-1010000000001-1-111-1-11-11001-1001-11-10000
χ6133-3-3-333-13-1-31-31-313-1030300-3-3-1-1113311-3-3-1-13-3-33-111-10-3031-100-1-10011-1-1111111-1-1-1-1-111-1-111-11-11-1-11-11-1-111010-100000000-11-111-11-1001100-1-10000-111-1
χ6233-3-3-333-13-1-31-31-313-1030300-3-3-1-11133-1-1-3-3113-3-331-1-110-3031-100-1-10011-1-1-1-1-1-1111111-111-11-1-11-11-111-11-111-1-1010-1000000001-11-1-11-1100-1-1001100001-1-11
χ6333-3-3-333-13-1-31-31-313-1030300-3-3-1-111-3-31133-1-1-333-3-111-10-3031-100-1-100111111-1-1-1-1-1-1111-1-11-111-1-11-111-11-111-1-1010-1000000001-11-1-11-11001100-1-10000-111-1
χ6433-3-3-333-13-1-31-31-313-1030300-3-3-1-111-3-3-1-13311-333-31-1-110-3031-100-1-1001111-1-111-1-111-1-11-1-111-1-111-11-1-11-11-1-111010-100000000-11-111-11-100-1-1001100001-1-11
χ6533-3-3-33-13-131-31-31-3-133030-3-300-1-1111133-1-1-3-3-111-13-3-33-30301-1-1-100110011-1-111-1-111-1-1-111-1-111-1-11-111-11-1-1-11110-1000000000-111-1-111-11100-1-100-111-10000
χ6633-3-3-33-13-131-31-31-3-133030-3-300-1-11111-3-3-1-133-111-1-333-3-30301-1-1-10011001111-1-1-1-1-1-111-111-11-1-111-11-1-11-1111-1-110-10000000001-1-111-1-111100-1-100-111-10000
χ6733-3-3-33-13-131-31-31-3-133030-3-300-1-111-1-13311-3-31-1-113-3-33-30301-1-1-1001100-1-1-1-1-1-11111111-1-11-111-11-11-1-11-1111-1-110-10000000001-1-111-1-11-1-10011001-1-110000
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χ12818-18−18i18i00-6-6666i6i−6i−6i0000000000002-2−2i2i0000000000000000000000000000000000-2200002i−2i0000000022-2-2−2i−2i2i2i-222i−2i000000000000000000000000000000000000

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