Finite Group Databasebeta

← Group #11863567

Character table — Group #11863567

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222224444444888888121212121212121222224444444488888881616161616162424242424242424333366666666121212121212122424242424243636363636363636
order122222344666466121212124412121212222288883666663121266612661212121212121212121266662424242422222264466646612121212441212121222228888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1111111-1-1-111-1-11-111-1-111-1-111-1-11111-1-1111111-1-1-111-1-11-111-1-111-1-111-1-11111-1-1111111-1-1-111-1-11-111-1-111-1-111-1-1
χ61111-1-1111111-1-1-111-1-11-111-1-1-1-111-1-1111111-1-1111111-1-1-111-1-11-111-1-1-1-111-1-1111111-1-1111111-1-1-111-1-11-111-1-1-1-111-1-111
χ71111-1-1111111-1-1-111-1-1-11-1-11111-1-1-1-1111111-1-1111111-1-1-111-1-1-11-1-11111-1-1-1-1111111-1-1111111-1-1-111-1-1-11-1-11111-1-1-1-111
χ81111-1-1111111-1-1-111-1-1-11-1-111-1-11111-1-11111-1-1111111-1-1-111-1-1-11-1-111-1-11111-1-11111-1-1111111-1-1-111-1-1-11-1-111-1-11111-1-1
χ92222222-2-2222-222-2-2-2-2000000000000002222222-2-2222-222-2-2-2-2000000000000002222222-2-2222-222-2-2-2-200000000000000
χ10222222-122-1-1-12-1-1-1-1-1-122-1-1-1-100000000222222-122-1-1-12-1-1-1-1-1-122-1-1-1-100000000222222-122-1-1-12-1-1-1-1-1-122-1-1-1-100000000
χ11222222-122-1-1-12-1-1-1-1-1-1-2-2111100000000222222-122-1-1-12-1-1-1-1-1-1-2-2111100000000222222-122-1-1-12-1-1-1-1-1-1-2-2111100000000
χ12222222-1-2-2-1-1-1-2-1-1111100−i3i3−i3i300000000222222-1-2-2-1-1-1-2-1-1111100−i3i3−i3i300000000222222-1-2-2-1-1-1-2-1-1111100−i3i3−i3i300000000
χ13222222-1-2-2-1-1-1-2-1-1111100i3−i3i3−i300000000222222-1-2-2-1-1-1-2-1-1111100i3−i3i3−i300000000222222-1-2-2-1-1-1-2-1-1111100i3−i3i3−i300000000
χ142222-2-22-2-22222-2-2-2-222000000000000002222-2-22-2-22222-2-2-2-222000000000000002222-2-22-2-22222-2-2-2-22200000000000000
χ152222-2-2-122-1-1-1-211-1-1112-2-1-111000000002222-2-2-122-1-1-1-211-1-1112-2-1-111000000002222-2-2-122-1-1-1-211-1-1112-2-1-11100000000
χ162222-2-2-122-1-1-1-211-1-111-2211-1-1000000002222-2-2-122-1-1-1-211-1-111-2211-1-1000000002222-2-2-122-1-1-1-211-1-111-2211-1-100000000
χ172222-2-2-1-2-2-1-1-121111-1-100−i3i3i3−i3000000002222-2-2-1-2-2-1-1-121111-1-100−i3i3i3−i3000000002222-2-2-1-2-2-1-1-121111-1-100−i3i3i3−i300000000
χ182222-2-2-1-2-2-1-1-121111-1-100i3−i3−i3i3000000002222-2-2-1-2-2-1-1-121111-1-100i3−i3−i3i3000000002222-2-2-1-2-2-1-1-121111-1-100i3−i3−i3i300000000
χ1922-2-22-22002-2-202-200000000000000−i2i2−i2i222-2-22-22002-2-202-200000000000000−i2i2−i2i222-2-22-22002-2-202-200000000000000−i2i2−i2i2
χ2022-2-22-22002-2-202-200000000000000i2−i2i2−i222-2-22-22002-2-202-200000000000000i2−i2i2−i222-2-22-22002-2-202-200000000000000i2−i2i2−i2
χ2122-2-2-222002-2-20-2200000000000000−i2i2i2−i222-2-2-222002-2-20-2200000000000000−i2i2i2−i222-2-2-222002-2-20-2200000000000000−i2i2i2−i2
χ2222-2-2-222002-2-20-2200000000000000i2−i2−i2i222-2-2-222002-2-20-2200000000000000i2−i2−i2i222-2-2-222002-2-20-2200000000000000i2−i2−i2i2
χ232-2-220022-2-2-220002-200000000002-200002-2-220022-2-2-220002-200000000002-200002-2-220022-2-2-220002-200000000002-20000
χ242-2-220022-2-2-220002-20000000000-2200002-2-220022-2-2-220002-20000000000-2200002-2-220022-2-2-220002-20000000000-220000
χ252-2-22002-22-2-22000-22000000002-20000002-2-22002-22-2-22000-22000000002-20000002-2-22002-22-2-22000-22000000002-2000000
χ262-2-22002-22-2-22000-2200000000-220000002-2-22002-22-2-22000-2200000000-220000002-2-22002-22-2-22000-2200000000-22000000
χ2744-4-44-4-200-2220-2200000000000000000044-4-44-4-200-2220-2200000000000000000044-4-44-4-200-2220-22000000000000000000
χ2844-4-4-44-200-22202-200000000000000000044-4-4-44-200-22202-200000000000000000044-4-4-44-200-22202-2000000000000000000
χ294-44-400400-44-40000000000000000000004-44-400400-44-40000000000000000000004-44-400400-44-4000000000000000000000
χ304-44-400-2002-220000023−23000000000000004-44-400-2002-220000023−23000000000000004-44-400-2002-220000023−2300000000000000
χ314-44-400-2002-2200000−2323000000000000004-44-400-2002-2200000−2323000000000000004-44-400-2002-2200000−232300000000000000
χ324-4-4400-24-422-2000-2200000000000000004-4-4400-24-422-2000-2200000000000000004-4-4400-24-422-2000-220000000000000000
χ334-4-4400-2-4422-20002-200000000000000004-4-4400-2-4422-20002-200000000000000004-4-4400-2-4422-20002-20000000000000000
χ34111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ351111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ361111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ371111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ381111-1-1111111-1-1-111-1-11-111-1-111-1-111-1-11111-1-1111111-1-1-111-1-11-111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111-1-111-11-1-111-1-111-1-111
χ391111-1-1111111-1-1-111-1-11-111-1-1-1-111-1-1111111-1-1111111-1-1-111-1-11-111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1111-1-111-11-1-11111-1-111-1-1
χ401111-1-1111111-1-1-111-1-1-11-1-11111-1-1-1-1111111-1-1111111-1-1-111-1-1-11-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111-1-1111-111-1-1-1-11111-1-1
χ411111-1-1111111-1-1-111-1-1-11-1-111-1-11111-1-11111-1-1111111-1-1-111-1-1-11-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1111-111-1-111-1-1-1-111
χ422222222-2-2222-222-2-2-2-2000000000000002222222-2-2222-222-2-2-2-200000000000000-2-2-2-2-2-2-222-2-2-22-2-2222200000000000000
χ43222222-122-1-1-12-1-1-1-1-1-122-1-1-1-100000000222222-122-1-1-12-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2-2-21-2-2111-2111111-2-2111100000000
χ44222222-122-1-1-12-1-1-1-1-1-1-2-2111100000000222222-122-1-1-12-1-1-1-1-1-1-2-2111100000000-2-2-2-2-2-21-2-2111-211111122-1-1-1-100000000
χ45222222-1-2-2-1-1-1-2-1-1111100−i3i3−i3i300000000222222-1-2-2-1-1-1-2-1-1111100−i3i3−i3i300000000-2-2-2-2-2-2122111211-1-1-1-100i3−i3i3−i300000000
χ46222222-1-2-2-1-1-1-2-1-1111100i3−i3i3−i300000000222222-1-2-2-1-1-1-2-1-1111100i3−i3i3−i300000000-2-2-2-2-2-2122111211-1-1-1-100−i3i3−i3i300000000
χ472222-2-22-2-22222-2-2-2-222000000000000002222-2-22-2-22222-2-2-2-22200000000000000-2-2-2-222-222-2-2-2-22222-2-200000000000000
χ482222-2-2-122-1-1-1-211-1-1112-2-1-111000000002222-2-2-122-1-1-1-211-1-1112-2-1-11100000000-2-2-2-2221-2-21112-1-111-1-1-2211-1-100000000
χ492222-2-2-122-1-1-1-211-1-111-2211-1-1000000002222-2-2-122-1-1-1-211-1-111-2211-1-100000000-2-2-2-2221-2-21112-1-111-1-12-2-1-11100000000
χ502222-2-2-1-2-2-1-1-121111-1-100−i3i3i3−i3000000002222-2-2-1-2-2-1-1-121111-1-100−i3i3i3−i300000000-2-2-2-222122111-2-1-1-1-11100i3−i3−i3i300000000
χ512222-2-2-1-2-2-1-1-121111-1-100i3−i3−i3i3000000002222-2-2-1-2-2-1-1-121111-1-100i3−i3−i3i300000000-2-2-2-222122111-2-1-1-1-11100−i3i3i3−i300000000
χ5222-2-22-22002-2-202-200000000000000−i2i2−i2i222-2-22-22002-2-202-200000000000000−i2i2−i2i2-2-222-22-200-2220-2200000000000000i2−i2i2−i2
χ5322-2-22-22002-2-202-200000000000000i2−i2i2−i222-2-22-22002-2-202-200000000000000i2−i2i2−i2-2-222-22-200-2220-2200000000000000−i2i2−i2i2
χ5422-2-2-222002-2-20-2200000000000000−i2i2i2−i222-2-2-222002-2-20-2200000000000000−i2i2i2−i2-2-2222-2-200-22202-200000000000000i2−i2−i2i2
χ5522-2-2-222002-2-20-2200000000000000i2−i2−i2i222-2-2-222002-2-20-2200000000000000i2−i2−i2i2-2-2222-2-200-22202-200000000000000−i2i2i2−i2
χ562-2-220022-2-2-220002-200000000002-200002-2-220022-2-2-220002-200000000002-20000-222-200-2-2222-2000-220000000000-220000
χ572-2-220022-2-2-220002-20000000000-2200002-2-220022-2-2-220002-20000000000-220000-222-200-2-2222-2000-2200000000002-20000
χ582-2-22002-22-2-22000-22000000002-20000002-2-22002-22-2-22000-22000000002-2000000-222-200-22-222-20002-200000000-22000000
χ592-2-22002-22-2-22000-2200000000-220000002-2-22002-22-2-22000-2200000000-22000000-222-200-22-222-20002-2000000002-2000000
χ6044-4-44-4-200-2220-2200000000000000000044-4-44-4-200-2220-22000000000000000000-4-444-442002-2-202-2000000000000000000
χ6144-4-4-44-200-22202-200000000000000000044-4-4-44-200-22202-2000000000000000000-4-4444-42002-2-20-22000000000000000000
χ624-44-400400-44-40000000000000000000004-44-400400-44-4000000000000000000000-44-4400-4004-44000000000000000000000
χ634-44-400-2002-220000023−23000000000000004-44-400-2002-220000023−2300000000000000-44-4400200-22-200000−232300000000000000
χ644-44-400-2002-2200000−2323000000000000004-44-400-2002-2200000−232300000000000000-44-4400200-22-20000023−2300000000000000
χ654-4-4400-24-422-2000-2200000000000000004-4-4400-24-422-2000-220000000000000000-444-4002-44-2-220002-20000000000000000
χ664-4-4400-2-4422-20002-200000000000000004-4-4400-2-4422-20002-20000000000000000-444-40024-4-2-22000-220000000000000000
χ67222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ682222222222222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000000000000000000
χ692222222222222222222-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111000000000000000000000000000000000
χ702222222222222222222-2-2-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1000000000000000000000000000000000
χ712222-2-2222222-2-2-222-2-22-222-2-222-2-222-2-2-1-1-1-111-1-1-1-1-1-1111-1-111-11-1-111-1-111-1-111000000000000000000000000000000000
χ722222-2-2222222-2-2-222-2-22-222-2-2-2-222-2-222-1-1-1-111-1-1-1-1-1-1111-1-111-11-1-11111-1-111-1-1000000000000000000000000000000000
χ732222-2-2222222-2-2-222-2-2-22-2-22222-2-2-2-222-1-1-1-111-1-1-1-1-1-1111-1-1111-111-1-1-1-11111-1-1000000000000000000000000000000000
χ742222-2-2222222-2-2-222-2-2-22-2-222-2-22222-2-2-1-1-1-111-1-1-1-1-1-1111-1-1111-111-1-111-1-1-1-111000000000000000000000000000000000
χ754444444-4-4444-444-4-4-4-400000000000000-2-2-2-2-2-2-222-2-2-22-2-2222200000000000000000000000000000000000000000000000
χ76444444-244-2-2-24-2-2-2-2-2-244-2-2-2-200000000-2-2-2-2-2-21-2-2111-2111111-2-2111100000000000000000000000000000000000000000
χ77444444-244-2-2-24-2-2-2-2-2-2-4-4222200000000-2-2-2-2-2-21-2-2111-211111122-1-1-1-100000000000000000000000000000000000000000
χ78444444-2-4-4-2-2-2-4-2-2222200−2i32i3−2i32i300000000-2-2-2-2-2-2122111211-1-1-1-100i3−i3i3−i300000000000000000000000000000000000000000
χ79444444-2-4-4-2-2-2-4-2-22222002i3−2i32i3−2i300000000-2-2-2-2-2-2122111211-1-1-1-100−i3i3−i3i300000000000000000000000000000000000000000
χ804444-4-44-4-44444-4-4-4-44400000000000000-2-2-2-222-222-2-2-2-22222-2-200000000000000000000000000000000000000000000000
χ814444-4-4-244-2-2-2-422-2-2224-4-2-22200000000-2-2-2-2221-2-21112-1-111-1-1-2211-1-100000000000000000000000000000000000000000
χ824444-4-4-244-2-2-2-422-2-222-4422-2-200000000-2-2-2-2221-2-21112-1-111-1-12-2-1-11100000000000000000000000000000000000000000
χ834444-4-4-2-4-4-2-2-242222-2-200−2i32i32i3−2i300000000-2-2-2-222122111-2-1-1-1-11100i3−i3−i3i300000000000000000000000000000000000000000
χ844444-4-4-2-4-4-2-2-242222-2-2002i3−2i3−2i32i300000000-2-2-2-222122111-2-1-1-1-11100−i3i3i3−i300000000000000000000000000000000000000000
χ8544-4-44-44004-4-404-400000000000000−2i22i2−2i22i2-2-222-22-200-2220-2200000000000000i2−i2i2−i2000000000000000000000000000000000
χ8644-4-44-44004-4-404-4000000000000002i2−2i22i2−2i2-2-222-22-200-2220-2200000000000000−i2i2−i2i2000000000000000000000000000000000
χ8744-4-4-444004-4-40-4400000000000000−2i22i22i2−2i2-2-2222-2-200-22202-200000000000000i2−i2−i2i2000000000000000000000000000000000
χ8844-4-4-444004-4-40-44000000000000002i2−2i2−2i22i2-2-2222-2-200-22202-200000000000000−i2i2i2−i2000000000000000000000000000000000
χ894-4-440044-4-4-440004-400000000004-40000-222-200-2-2222-2000-220000000000-220000000000000000000000000000000000000
χ904-4-440044-4-4-440004-40000000000-440000-222-200-2-2222-2000-2200000000002-20000000000000000000000000000000000000
χ914-4-44004-44-4-44000-44000000004-4000000-222-200-22-222-20002-200000000-22000000000000000000000000000000000000000
χ924-4-44004-44-4-44000-4400000000-44000000-222-200-22-222-20002-2000000002-2000000000000000000000000000000000000000
χ9388-8-88-8-400-4440-44000000000000000000-4-444-442002-2-202-2000000000000000000000000000000000000000000000000000
χ9488-8-8-88-400-44404-4000000000000000000-4-4444-42002-2-20-22000000000000000000000000000000000000000000000000000
χ958-88-800800-88-8000000000000000000000-44-4400-4004-44000000000000000000000000000000000000000000000000000000
χ968-88-800-4004-440000043−4300000000000000-44-4400200-22-200000−232300000000000000000000000000000000000000000000000
χ978-88-800-4004-4400000−434300000000000000-44-4400200-22-20000023−2300000000000000000000000000000000000000000000000
χ988-8-8800-48-844-4000-440000000000000000-444-4002-44-2-220002-20000000000000000000000000000000000000000000000000
χ998-8-8800-4-8844-40004-40000000000000000-444-40024-4-2-22000-220000000000000000000000000000000000000000000000000

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