Finite Group Databasebeta

← Group #11865686

Character table — Group #11865686

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222224444444888888121212121212121222224444444488888881616161616162424242424242424333366666666121212121212122424242424243636363636363636
order12223444466641212121212122466121244448888366631212121266612121212121212612661212121212122424242422226444466641212121212122466121244448888
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
χ511111-1-111111-1-1-1-1-1111-111-1-111-1-111-1-111111-1-111111-1-1-1-1-1111-111-1-111-1-111-1-111111-1-111111-1-1-1-1-1111-111-1-111-1-111-1-1
χ611111-1-111111-1-1-1-1-1111-111-1-1-1-111-1-11111111-1-111111-1-1-1-1-1111-111-1-1-1-111-1-11111111-1-111111-1-1-1-1-1111-111-1-1-1-111-1-111
χ711111-1-111111-1-1-1-1-111-11-1-11111-1-1-1-11111111-1-111111-1-1-1-1-111-11-1-11111-1-1-1-11111111-1-111111-1-1-1-1-111-11-1-11111-1-1-1-111
χ811111-1-111111-1-1-1-1-111-11-1-111-1-11111-1-111111-1-111111-1-1-1-1-111-11-1-111-1-11111-1-111111-1-111111-1-1-1-1-111-11-1-111-1-11111-1-1
χ92222222-2-2222-222-2-2-2-2000000000000002222222-2-2222-222-2-2-2-2000000000000002222222-2-2222-222-2-2-2-200000000000000
χ1022222-2-2-2-22222-2-222-2-20000000000000022222-2-2-2-22222-2-222-2-20000000000000022222-2-2-2-22222-2-222-2-200000000000000
χ112222-12222-1-1-12-1-1-1-1-1-122-1-1-1-1000000002222-12222-1-1-12-1-1-1-1-1-122-1-1-1-1000000002222-12222-1-1-12-1-1-1-1-1-122-1-1-1-100000000
χ122222-12222-1-1-12-1-1-1-1-1-1-2-21111000000002222-12222-1-1-12-1-1-1-1-1-1-2-21111000000002222-12222-1-1-12-1-1-1-1-1-1-2-2111100000000
χ132222-122-2-2-1-1-1-2-1-1111100−i3i3−i3i3000000002222-122-2-2-1-1-1-2-1-1111100−i3i3−i3i3000000002222-122-2-2-1-1-1-2-1-1111100−i3i3−i3i300000000
χ142222-122-2-2-1-1-1-2-1-1111100i3−i3i3−i3000000002222-122-2-2-1-1-1-2-1-1111100i3−i3i3−i3000000002222-122-2-2-1-1-1-2-1-1111100i3−i3i3−i300000000
χ152222-1-2-222-1-1-1-21111-1-12-2-1-111000000002222-1-2-222-1-1-1-21111-1-12-2-1-111000000002222-1-2-222-1-1-1-21111-1-12-2-1-11100000000
χ162222-1-2-222-1-1-1-21111-1-1-2211-1-1000000002222-1-2-222-1-1-1-21111-1-1-2211-1-1000000002222-1-2-222-1-1-1-21111-1-1-2211-1-100000000
χ172222-1-2-2-2-2-1-1-1211-1-11100−i3i3i3−i3000000002222-1-2-2-2-2-1-1-1211-1-11100−i3i3i3−i3000000002222-1-2-2-2-2-1-1-1211-1-11100−i3i3i3−i300000000
χ182222-1-2-2-2-2-1-1-1211-1-11100i3−i3−i3i3000000002222-1-2-2-2-2-1-1-1211-1-11100i3−i3−i3i3000000002222-1-2-2-2-2-1-1-1211-1-11100i3−i3−i3i300000000
χ192-22-222i−2i002-2-202i−2i000000000000002−2−i2i22-22-222i−2i002-2-202i−2i000000000000002−2−i2i22-22-222i−2i002-2-202i−2i000000000000002−2−i2i2
χ202-22-222i−2i002-2-202i−2i00000000000000−22i2−i22-22-222i−2i002-2-202i−2i00000000000000−22i2−i22-22-222i−2i002-2-202i−2i00000000000000−22i2−i2
χ212-22-22−2i2i002-2-20−2i2i000000000000002−2i2−i22-22-22−2i2i002-2-20−2i2i000000000000002−2i2−i22-22-22−2i2i002-2-20−2i2i000000000000002−2i2−i2
χ222-22-22−2i2i002-2-20−2i2i00000000000000−22−i2i22-22-22−2i2i002-2-20−2i2i00000000000000−22−i2i22-22-22−2i2i002-2-20−2i2i00000000000000−22−i2i2
χ232-2-222002-2-2-22000002-20000002i−2i0000002-2-222002-2-2-22000002-20000002i−2i0000002-2-222002-2-2-22000002-20000002i−2i000000
χ242-2-222002-2-2-22000002-2000000−2i2i0000002-2-222002-2-2-22000002-2000000−2i2i0000002-2-222002-2-2-22000002-2000000−2i2i000000
χ252-2-22200-22-2-2200000-22000000002-200002-2-22200-22-2-2200000-22000000002-200002-2-22200-22-2-2200000-22000000002-20000
χ262-2-22200-22-2-2200000-2200000000-2200002-2-22200-22-2-2200000-2200000000-2200002-2-22200-22-2-2200000-2200000000-220000
χ2744-4-440000-44-400000000000000000000044-4-440000-44-400000000000000000000044-4-440000-44-4000000000000000000000
χ2844-4-4-200002-2200023−23000000000000000044-4-4-200002-2200023−23000000000000000044-4-4-200002-2200023−230000000000000000
χ2944-4-4-200002-22000−2323000000000000000044-4-4-200002-22000−2323000000000000000044-4-4-200002-22000−23230000000000000000
χ304-44-4-24i−4i00-2220−2i2i0000000000000000004-44-4-24i−4i00-2220−2i2i0000000000000000004-44-4-24i−4i00-2220−2i2i000000000000000000
χ314-44-4-2−4i4i00-22202i−2i0000000000000000004-44-4-2−4i4i00-22202i−2i0000000000000000004-44-4-2−4i4i00-22202i−2i000000000000000000
χ324-4-44-2004-422-200000-22000000000000004-4-44-2004-422-200000-22000000000000004-4-44-2004-422-200000-2200000000000000
χ334-4-44-200-4422-2000002-2000000000000004-4-44-200-4422-2000002-2000000000000004-4-44-200-4422-2000002-200000000000000
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
χ3811111-1-111111-1-1-1-1-1111-111-1-111-1-111-1-111111-1-111111-1-1-1-1-1111-111-1-111-1-111-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-11-1-111-1-111-1-111
χ3911111-1-111111-1-1-1-1-1111-111-1-1-1-111-1-11111111-1-111111-1-1-1-1-1111-111-1-1-1-111-1-111-1-1-1-1-111-1-1-1-1-111111-1-1-11-1-11111-1-111-1-1
χ4011111-1-111111-1-1-1-1-111-11-1-11111-1-1-1-11111111-1-111111-1-1-1-1-111-11-1-11111-1-1-1-111-1-1-1-1-111-1-1-1-1-111111-1-11-111-1-1-1-11111-1-1
χ4111111-1-111111-1-1-1-1-111-11-1-111-1-11111-1-111111-1-111111-1-1-1-1-111-11-1-111-1-11111-1-1-1-1-1-1-111-1-1-1-1-111111-1-11-111-1-111-1-1-1-111
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
χ4322222-2-2-2-22222-2-222-2-20000000000000022222-2-2-2-22222-2-222-2-200000000000000-2-2-2-2-22222-2-2-2-222-2-22200000000000000
χ442222-12222-1-1-12-1-1-1-1-1-122-1-1-1-1000000002222-12222-1-1-12-1-1-1-1-1-122-1-1-1-100000000-2-2-2-21-2-2-2-2111-2111111-2-2111100000000
χ452222-12222-1-1-12-1-1-1-1-1-1-2-21111000000002222-12222-1-1-12-1-1-1-1-1-1-2-2111100000000-2-2-2-21-2-2-2-2111-211111122-1-1-1-100000000
χ462222-122-2-2-1-1-1-2-1-1111100−i3i3−i3i3000000002222-122-2-2-1-1-1-2-1-1111100−i3i3−i3i300000000-2-2-2-21-2-222111211-1-1-1-100i3−i3i3−i300000000
χ472222-122-2-2-1-1-1-2-1-1111100i3−i3i3−i3000000002222-122-2-2-1-1-1-2-1-1111100i3−i3i3−i300000000-2-2-2-21-2-222111211-1-1-1-100−i3i3−i3i300000000
χ482222-1-2-222-1-1-1-21111-1-12-2-1-111000000002222-1-2-222-1-1-1-21111-1-12-2-1-11100000000-2-2-2-2122-2-21112-1-1-1-111-2211-1-100000000
χ492222-1-2-222-1-1-1-21111-1-1-2211-1-1000000002222-1-2-222-1-1-1-21111-1-1-2211-1-100000000-2-2-2-2122-2-21112-1-1-1-1112-2-1-11100000000
χ502222-1-2-2-2-2-1-1-1211-1-11100−i3i3i3−i3000000002222-1-2-2-2-2-1-1-1211-1-11100−i3i3i3−i300000000-2-2-2-212222111-2-1-111-1-100i3−i3−i3i300000000
χ512222-1-2-2-2-2-1-1-1211-1-11100i3−i3−i3i3000000002222-1-2-2-2-2-1-1-1211-1-11100i3−i3−i3i300000000-2-2-2-212222111-2-1-111-1-100−i3i3i3−i300000000
χ522-22-222i−2i002-2-202i−2i000000000000002−2−i2i22-22-222i−2i002-2-202i−2i000000000000002−2−i2i2-22-22-2−2i2i00-2220−2i2i00000000000000−22i2−i2
χ532-22-222i−2i002-2-202i−2i00000000000000−22i2−i22-22-222i−2i002-2-202i−2i00000000000000−22i2−i2-22-22-2−2i2i00-2220−2i2i000000000000002−2−i2i2
χ542-22-22−2i2i002-2-20−2i2i000000000000002−2i2−i22-22-22−2i2i002-2-20−2i2i000000000000002−2i2−i2-22-22-22i−2i00-22202i−2i00000000000000−22−i2i2
χ552-22-22−2i2i002-2-20−2i2i00000000000000−22−i2i22-22-22−2i2i002-2-20−2i2i00000000000000−22−i2i2-22-22-22i−2i00-22202i−2i000000000000002−2i2−i2
χ562-2-222002-2-2-22000002-20000002i−2i0000002-2-222002-2-2-22000002-20000002i−2i000000-222-2-200-2222-200000-22000000−2i2i000000
χ572-2-222002-2-2-22000002-2000000−2i2i0000002-2-222002-2-2-22000002-2000000−2i2i000000-222-2-200-2222-200000-220000002i−2i000000
χ582-2-22200-22-2-2200000-22000000002-200002-2-22200-22-2-2200000-22000000002-20000-222-2-2002-222-2000002-200000000-220000
χ592-2-22200-22-2-2200000-2200000000-2200002-2-22200-22-2-2200000-2200000000-220000-222-2-2002-222-2000002-2000000002-20000
χ6044-4-440000-44-400000000000000000000044-4-440000-44-4000000000000000000000-4-444-400004-44000000000000000000000
χ6144-4-4-200002-2200023−23000000000000000044-4-4-200002-2200023−230000000000000000-4-44420000-22-2000−23230000000000000000
χ6244-4-4-200002-22000−2323000000000000000044-4-4-200002-22000−23230000000000000000-4-44420000-22-200023−230000000000000000
χ634-44-4-24i−4i00-2220−2i2i0000000000000000004-44-4-24i−4i00-2220−2i2i000000000000000000-44-442−4i4i002-2-202i−2i000000000000000000
χ644-44-4-2−4i4i00-22202i−2i0000000000000000004-44-4-2−4i4i00-22202i−2i000000000000000000-44-4424i−4i002-2-20−2i2i000000000000000000
χ654-4-44-2004-422-200000-22000000000000004-4-44-2004-422-200000-2200000000000000-444-4200-44-2-22000002-200000000000000
χ664-4-44-200-4422-2000002-2000000000000004-4-44-200-4422-2000002-200000000000000-444-42004-4-2-2200000-2200000000000000
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
χ7122222-2-222222-2-2-2-2-2222-222-2-222-2-222-2-2-1-1-1-1-111-1-1-1-1-111111-1-1-11-1-111-1-111-1-111000000000000000000000000000000000
χ7222222-2-222222-2-2-2-2-2222-222-2-2-2-222-2-222-1-1-1-1-111-1-1-1-1-111111-1-1-11-1-11111-1-111-1-1000000000000000000000000000000000
χ7322222-2-222222-2-2-2-2-222-22-2-22222-2-2-2-222-1-1-1-1-111-1-1-1-1-111111-1-11-111-1-1-1-11111-1-1000000000000000000000000000000000
χ7422222-2-222222-2-2-2-2-222-22-2-222-2-22222-2-2-1-1-1-1-111-1-1-1-1-111111-1-11-111-1-111-1-1-1-111000000000000000000000000000000000
χ754444444-4-4444-444-4-4-4-400000000000000-2-2-2-2-2-2-222-2-2-22-2-2222200000000000000000000000000000000000000000000000
χ7644444-4-4-4-44444-4-444-4-400000000000000-2-2-2-2-22222-2-2-2-222-2-22200000000000000000000000000000000000000000000000
χ774444-24444-2-2-24-2-2-2-2-2-244-2-2-2-200000000-2-2-2-21-2-2-2-2111-2111111-2-2111100000000000000000000000000000000000000000
χ784444-24444-2-2-24-2-2-2-2-2-2-4-4222200000000-2-2-2-21-2-2-2-2111-211111122-1-1-1-100000000000000000000000000000000000000000
χ794444-244-4-4-2-2-2-4-2-2222200−2i32i3−2i32i300000000-2-2-2-21-2-222111211-1-1-1-100i3−i3i3−i300000000000000000000000000000000000000000
χ804444-244-4-4-2-2-2-4-2-22222002i3−2i32i3−2i300000000-2-2-2-21-2-222111211-1-1-1-100−i3i3−i3i300000000000000000000000000000000000000000
χ814444-2-4-444-2-2-2-42222-2-24-4-2-22200000000-2-2-2-2122-2-21112-1-1-1-111-2211-1-100000000000000000000000000000000000000000
χ824444-2-4-444-2-2-2-42222-2-2-4422-2-200000000-2-2-2-2122-2-21112-1-1-1-1112-2-1-11100000000000000000000000000000000000000000
χ834444-2-4-4-4-4-2-2-2422-2-22200−2i32i32i3−2i300000000-2-2-2-212222111-2-1-111-1-100i3−i3−i3i300000000000000000000000000000000000000000
χ844444-2-4-4-4-4-2-2-2422-2-222002i3−2i3−2i32i300000000-2-2-2-212222111-2-1-111-1-100−i3i3i3−i300000000000000000000000000000000000000000
χ854-44-444i−4i004-4-404i−4i0000000000000022−22−2i22i2-22-22-2−2i2i00-2220−2i2i00000000000000−22i2−i2000000000000000000000000000000000
χ864-44-444i−4i004-4-404i−4i00000000000000−22222i2−2i2-22-22-2−2i2i00-2220−2i2i000000000000002−2−i2i2000000000000000000000000000000000
χ874-44-44−4i4i004-4-40−4i4i0000000000000022−222i2−2i2-22-22-22i−2i00-22202i−2i00000000000000−22−i2i2000000000000000000000000000000000
χ884-44-44−4i4i004-4-40−4i4i00000000000000−2222−2i22i2-22-22-22i−2i00-22202i−2i000000000000002−2i2−i2000000000000000000000000000000000
χ894-4-444004-4-4-44000004-40000004i−4i000000-222-2-200-2222-200000-22000000−2i2i000000000000000000000000000000000000000
χ904-4-444004-4-4-44000004-4000000−4i4i000000-222-2-200-2222-200000-220000002i−2i000000000000000000000000000000000000000
χ914-4-44400-44-4-4400000-44000000004-40000-222-2-2002-222-2000002-200000000-220000000000000000000000000000000000000
χ924-4-44400-44-4-4400000-4400000000-440000-222-2-2002-222-2000002-2000000002-20000000000000000000000000000000000000
χ9388-8-880000-88-8000000000000000000000-4-444-400004-44000000000000000000000000000000000000000000000000000000
χ9488-8-8-400004-4400043−430000000000000000-4-44420000-22-2000−23230000000000000000000000000000000000000000000000000
χ9588-8-8-400004-44000−43430000000000000000-4-44420000-22-200023−230000000000000000000000000000000000000000000000000
χ968-88-8-48i−8i00-4440−4i4i000000000000000000-44-442−4i4i002-2-202i−2i000000000000000000000000000000000000000000000000000
χ978-88-8-4−8i8i00-44404i−4i000000000000000000-44-4424i−4i002-2-20−2i2i000000000000000000000000000000000000000000000000000
χ988-8-88-4008-844-400000-4400000000000000-444-4200-44-2-22000002-200000000000000000000000000000000000000000000000
χ998-8-88-400-8844-4000004-400000000000000-444-42004-4-2-2200000-2200000000000000000000000000000000000000000000000

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