Finite Group Databasebeta

← Group #11865788

Character table — Group #11865788

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order1222444422334466666612121212121212122234466666661212121212121212666666666612121212121212121212888888882424242424242424242424242424242444442244666612121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-11111
χ71111111111111111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-111-1-1-1-11111
χ81111111111111111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11-111-1-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-111-11-1-111
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-111-1-1-11111-1-1-11-1-111
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111111-111-1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111111-1-1-111
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-111-1-1-11111-1-1-1111-1-1
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-1111-1-1-1-111-1111-1-1
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-11-1-1-111
χ1722222222222-12222-1-12-12222-1-1-1-122-12222-1-1-1-1-12-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000020200-1-100-1-1000000
χ1822222222222-12222-1-12-12222-1-1-1-122-12222-1-1-1-1-12-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100000-20-200110011000000
χ1922222222222-12222-1-12-12222-1-1-1-1-2-2-1-2-222-1-1-1-1-12-1-1-1-1-12-1-2-211-1-11111-2-211-1-111110000222200000000-1-1-1-1-1-1-1-100000-20-200110011000000
χ2022222222222-12222-1-12-12222-1-1-1-1-2-2-1-2-222-1-1-1-1-12-1-1-1-1-12-1-2-211-1-11111-2-211-1-111110000-2-2-2-200000000111111110000020200-1-100-1-1000000
χ212222222222-1222-1-122-12-1-1-1-1222222-122-1-122-1-1-1-12-1-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000002020-1-100-1-100000000
χ222222222222-1222-1-122-12-1-1-1-1222222-122-1-122-1-1-1-12-1-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2000011111111000000000000-20-2011001100000000
χ232222222222-1222-1-122-12-1-1-1-12222-2-2-1-2-2-1-122-1-1-1-12-1-1-1-1-1211-2-2-1-1111111-2-2-1-1111122220000-1-1-1-1-1-1-1-1000000000000-20-2011001100000000
χ242222222222-1222-1-122-12-1-1-1-12222-2-2-1-2-2-1-122-1-1-1-12-1-1-1-1-1211-2-2-1-1111111-2-2-1-11111-2-2-2-20000111111110000000000002020-1-100-1-100000000
χ2522222222-2-222-2-22222222222222200200-2-2-2-2222-2-22222-2-20000-2-200000000-2-200000000000000000000000000002222000000000000-2-20000
χ2622222222-2-222-2-22222222222222200200-2-2-2-2222-2-22222-2-20000-2-200000000-2-20000000000000000000000000000-2-2-2-2000000000000220000
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2002002222222-2-2-2-2-2-2-2-200002200000000-2-2000000000000000000000000000022-2-2000000000000-220000
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2002002222222-2-2-2-2-2-2-2-200002200000000-2-20000000000000000000000000000-2-2220000000000002-20000
χ292222-2-2-2-2-2-22-12222-1-12-1-2-2-2-2111122-1-2-2-2-211-1-1-12-111112-122-1-111-1-1-1-1-2-211-1-11111000022-2-200000000-1-1-1-111110000020-200-1-10011000000
χ302222-2-2-2-2-2-22-12222-1-12-1-2-2-2-2111122-1-2-2-2-211-1-1-12-111112-122-1-111-1-1-1-1-2-211-1-111110000-2-222000000001111-1-1-1-100000-202001100-1-1000000
χ312222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-2-2-122-2-211-1-1-12-111112-1-2-21111111122-1-1-1-1-1-1-1-1000022-2-200000000-1-1-1-1111100000-202001100-1-1000000
χ322222-2-2-2-2-2-22-12222-1-12-1-2-2-2-21111-2-2-122-2-211-1-1-12-111112-1-2-21111111122-1-1-1-1-1-1-1-10000-2-222000000001111-1-1-1-10000020-200-1-10011000000
χ332222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-222-1-2-211-2-2-1-1-1-121111-12-1-12211-1-1-1-111-2-2-1-1111122-2-20000-1-1-1-1111100000000000020-20-1-1001100000000
χ342222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-222-1-2-211-2-2-1-1-1-121111-12-1-12211-1-1-1-111-2-2-1-11111-2-22200001111-1-1-1-1000000000000-20201100-1-100000000
χ352222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-2-2-12211-2-2-1-1-1-121111-1211-2-2111111-1-122-1-1-1-1-1-122-2-20000-1-1-1-11111000000000000-20201100-1-100000000
χ362222-2-2-2-2-2-2-1222-1-122-121111-2-2-2-2-2-2-12211-2-2-1-1-1-121111-1211-2-2111111-1-122-1-1-1-1-1-1-2-22200001111-1-1-1-100000000000020-20-1-1001100000000
χ3722-2-222-2-22-2222-2-2-2-2-22222-2-222-2-2002002-22-2-2-222222-2-2-2-200002-2000000002-200000000000000000000000000000000000000000000002i−2i2i−2i
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χ3922-2-222-2-2-2222-22-2-2-2-22222-2-222-2-22-222-2-22-22-2-22-2-222-2-2222-22-2-2222-2-22-22-2-2222-2-20000000000000000000000000000000000000000000000
χ4022-2-222-2-2-2222-22-2-2-2-22222-2-222-2-2-222-22-22-22-2-22-2-222-2-222-22-22-22-2-222-22-22-22-2-2220000000000000000000000000000000000000000000000
χ4122-2-222-2-2-222-1-22-2-2112-122-2-2-1-1112-2-12-2-221-111-1-21-1-1112-12-2-111-1-1-1112-2-111-1-1-1110000000000000000−i3−i3i3i3−i3−i3i3i30000000000−i3i300−i3i3000000
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χ4322-2-222-2-2-222-1-22-2-2112-122-2-2-1-111-22-1-22-221-111-1-21-1-1112-1-221-11-111-1-1-221-11-111-1-10000000000000000−i3−i3i3i3−i3−i3i3i30000000000i3−i300i3−i3000000
χ4422-2-222-2-2-222-1-22-2-2112-122-2-2-1-111-22-1-22-221-111-1-21-1-1112-1-221-11-111-1-1-221-11-111-1-10000000000000000i3i3−i3−i3i3i3−i3−i30000000000−i3i300−i3i3000000
χ4522-2-222-2-2-22-12-2211-2-2-12-1-11122-2-22-2-12-21-1-2211-11-2-1-111-12-112-21-1-1-111-112-21-1-1-11100000000−i3−i3i3i3−i3−i3i3i30000000000000000−i3i300−i3i300000000
χ4622-2-222-2-2-22-12-2211-2-2-12-1-11122-2-22-2-12-21-1-2211-11-2-1-111-12-112-21-1-1-111-112-21-1-1-11100000000i3i3−i3−i3i3i3−i3−i30000000000000000i3−i300i3−i300000000
χ4722-2-222-2-2-22-12-2211-2-2-12-1-11122-2-2-22-1-221-1-2211-11-2-1-111-121-1-221-111-1-11-1-221-111-1-100000000−i3−i3i3i3−i3−i3i3i30000000000000000i3−i300i3−i300000000
χ4822-2-222-2-2-22-12-2211-2-2-12-1-11122-2-2-22-1-221-1-2211-11-2-1-111-121-1-221-111-1-11-1-221-111-1-100000000i3i3−i3−i3i3i3−i3−i30000000000000000−i3i300−i3i300000000
χ4922-2-2-2-2222-222-22-2-2-2-222-2-222-2-2222-22-222-22-2-2-22-2-2-2-222222-22-22-222-2-2-22-22-22-2-2220000000000000000000000000000000000000000000000
χ5022-2-2-2-2222-222-22-2-2-2-222-2-222-2-222-2222-22-22-2-2-22-2-2-2-22222-22-222-2-2-2222-22-2-2222-2-20000000000000000000000000000000000000000000000
χ5122-2-2-2-2222-22-1-22-2-2112-1-2-22211-1-12-2-1-222-2-1111-1-2111-1-12-12-2-11-11-1-111-221-11-111-1-10000000000000000−i3−i3i3i3i3i3−i3−i30000000000−i3i300i3−i3000000
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χ5522-2-2-2-2222-2-12-2211-2-2-1211-1-1-2-2222-2-1-22-112-211-11-211-1-1-12-112-2-11-1-1111-1-221-111-1-100000000−i3−i3i3i3i3i3−i3−i30000000000000000−i3i300i3−i300000000
χ5622-2-2-2-2222-2-12-2211-2-2-1211-1-1-2-2222-2-1-22-112-211-11-211-1-1-12-112-2-11-1-1111-1-221-111-1-100000000i3i3−i3−i3−i3−i3i3i30000000000000000i3−i300−i3i300000000
χ5722-2-2-2-2222-2-12-2211-2-2-1211-1-1-2-222-22-12-2-112-211-11-211-1-1-121-1-22-1111-1-1-112-21-1-1-11100000000−i3−i3i3i3i3i3−i3−i30000000000000000i3−i300−i3i300000000
χ5822-2-2-2-2222-2-12-2211-2-2-1211-1-1-2-222-22-12-2-112-211-11-211-1-1-121-1-22-1111-1-1-112-21-1-1-11100000000i3i3−i3−i3−i3−i3i3i30000000000000000−i3i300i3−i300000000
χ5922-2-2-2-222-22222-2-2-2-2-222-2-222-2-22200200-22-22-2-2222-2-222-2-20000-22000000002-200000000000000000000000000000000000000000000002i−2i−2i2i
χ6022-2-2-2-222-22222-2-2-2-2-222-2-222-2-22200200-22-22-2-2222-2-222-2-20000-22000000002-20000000000000000000000000000000000000000000000−2i2i2i−2i
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χ794444-4-4-4-4-4-4-2-244-2-2-2-2-2-222222222441-4-42222111-2-2-1-1-1-1-2-2-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000000000000000000000
χ804444-4-4-4-4-4-4-2-244-2-2-2-2-2-222222222-4-41442222111-2-2-1-1-1-1-2-22222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000000000000000
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χ8244-4-444-4-44-4-244-422-4-4-24-2-22244-4-400-200-224-422-2-24-2-2222-40000-2200000000-2200000000000000000000000000000000000000000000000000
χ8344-4-444-4-44-4-2-24-42222-2-2-2-222-2-22200100-22-22-1-11-2-211-1-12200001-13-3-3300001-13-3-330000000000000000000000000000000000000000000000
χ8444-4-444-4-44-4-2-24-42222-2-2-2-222-2-22200100-22-22-1-11-2-211-1-12200001-1-333-300001-1-333-30000000000000000000000000000000000000000000000
χ8544-4-444-4-4-44-2-2-442222-2-2-2-222-2-2224-414-42-22-2-1-112211-1-1-2-2-22-22-1111-1-1-22-22-1111-1-10000000000000000000000000000000000000000000000
χ8644-4-444-4-4-44-2-2-442222-2-2-2-222-2-222-441-442-22-2-1-112211-1-1-2-22-22-2-11-1-1112-22-2-11-1-1110000000000000000000000000000000000000000000000
χ8744-4-4-4-4444-4-2-2-442222-2-222-2-222-2-24-41-44-22-22-1-1122-1-111-2-2-22-221-111-1-12-22-2-11-1-1110000000000000000000000000000000000000000000000
χ8844-4-4-4-4444-4-2-2-442222-2-222-2-222-2-2-4414-4-22-22-1-1122-1-111-2-22-22-21-1-1-111-22-22-1111-1-10000000000000000000000000000000000000000000000
χ8944-4-4-4-444-444-24-4-4-4224-2-4-44422-2-200-200-442-222-24-222-2-2-4200002-200000000-2200000000000000000000000000000000000000000000000000
χ9044-4-4-4-444-44-244-422-4-4-2422-2-2-4-44400-2002-2-4422-2-2422-2-22-400002-200000000-2200000000000000000000000000000000000000000000000000
χ9144-4-4-4-444-44-2-24-42222-2-222-2-222-2-2001002-22-2-1-11-2-2-1-111220000-113-3-3300001-1-333-30000000000000000000000000000000000000000000000
χ9244-4-4-4-444-44-2-24-42222-2-222-2-222-2-2001002-22-2-1-11-2-2-1-111220000-11-333-300001-13-3-330000000000000000000000000000000000000000000000
χ934-44-44i−4i4i−4i004-2004-4-22-424i−4i4i−4i−2i2i−2i2i00-2000000-22200−2i2i−2i2i0000000000000000000000000022−22−2i22i200000000−22−22i2−i2i2−i20000000000000000000000
χ944-44-44i−4i4i−4i004-2004-4-22-424i−4i4i−4i−2i2i−2i2i00-2000000-22200−2i2i−2i2i00000000000000000000000000−22222i2−2i2000000002−22−2−i2i2−i2i20000000000000000000000
χ954-44-44i−4i4i−4i00-2400-224-42-4−2i2i−2i2i4i−4i4i−4i00-2000000-22200−2i2i−2i2i000000000000000000000022−22−2i22i20000−22−22i2−i2i2−i2000000000000000000000000000000
χ964-44-44i−4i4i−4i00-2400-224-42-4−2i2i−2i2i4i−4i4i−4i00-2000000-22200−2i2i−2i2i0000000000000000000000−22222i2−2i200002−22−2−i2i2−i2i2000000000000000000000000000000
χ974-44-4−4i4i−4i4i004-2004-4-22-42−4i4i−4i4i2i−2i2i−2i00-2000000-222002i−2i2i−2i0000000000000000000000000022−222i2−2i200000000−22−22−i2i2−i2i20000000000000000000000
χ984-44-4−4i4i−4i4i004-2004-4-22-42−4i4i−4i4i2i−2i2i−2i00-2000000-222002i−2i2i−2i00000000000000000000000000−2222−2i22i2000000002−22−2i2−i2i2−i20000000000000000000000
χ994-44-4−4i4i−4i4i00-2400-224-42-42i−2i2i−2i−4i4i−4i4i00-2000000-222002i−2i2i−2i000000000000000000000022−222i2−2i20000−22−22−i2i2−i2i2000000000000000000000000000000
χ1004-44-4−4i4i−4i4i00-2400-224-42-42i−2i2i−2i−4i4i−4i4i00-2000000-222002i−2i2i−2i0000000000000000000000−2222−2i22i200002−22−2i2−i2i2−i2000000000000000000000000000000
χ1014-4-444i−4i−4i4i004400-44-44-4-44i−4i−4i4i4i−4i−4i4i004000000-44-4004i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-444i−4i−4i4i004-200-442-2-424i−4i−4i4i−2i2i2i−2i00-20000002-2200−2i2i2i−2i00000000000000000000000000000000000000i6−i6−i6i66−6−660000000000000000000000
χ1034-4-444i−4i−4i4i004-200-442-2-424i−4i−4i4i−2i2i2i−2i00-20000002-2200−2i2i2i−2i00000000000000000000000000000000000000−i6i6i6−i6−666−60000000000000000000000
χ1044-4-444i−4i−4i4i00-24002-2-442-4−2i2i2i−2i4i−4i−4i4i00-20000002-2200−2i2i2i−2i000000000000000000000000000000i6−i6−i6i66−6−66000000000000000000000000000000
χ1054-4-444i−4i−4i4i00-24002-2-442-4−2i2i2i−2i4i−4i−4i4i00-20000002-2200−2i2i2i−2i000000000000000000000000000000−i6i6i6−i6−666−6000000000000000000000000000000
χ1064-4-44−4i4i4i−4i004400-44-44-4-4−4i4i4i−4i−4i4i4i−4i004000000-44-400−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-44−4i4i4i−4i004-200-442-2-42−4i4i4i−4i2i−2i−2i2i00-20000002-22002i−2i−2i2i00000000000000000000000000000000000000i6−i6−i6i6−666−60000000000000000000000
χ1084-4-44−4i4i4i−4i004-200-442-2-42−4i4i4i−4i2i−2i−2i2i00-20000002-22002i−2i−2i2i00000000000000000000000000000000000000−i6i6i6−i66−6−660000000000000000000000
χ1094-4-44−4i4i4i−4i00-24002-2-442-42i−2i−2i2i−4i4i4i−4i00-20000002-22002i−2i−2i2i000000000000000000000000000000i6−i6−i6i6−666−6000000000000000000000000000000
χ1104-4-44−4i4i4i−4i00-24002-2-442-42i−2i−2i2i−4i4i4i−4i00-20000002-22002i−2i−2i2i000000000000000000000000000000−i6i6i6−i66−6−66000000000000000000000000000000
χ1118-88-88i−8i8i−8i00-4-400-44-4444−4i4i−4i4i−4i4i−4i4i0020000002-2-2002i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8−8i8i−8i8i00-4-400-44-44444i−4i4i−4i4i−4i4i−4i0020000002-2-200−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-888i−8i−8i8i00-4-4004-44-444−4i4i4i−4i−4i4i4i−4i002000000-22-2002i−2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88−8i8i8i−8i00-4-4004-44-4444i−4i−4i4i4i−4i−4i4i002000000-22-200−2i2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000

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