Finite Group Databasebeta

← #28259177

Subgroups — #28259177

Order 13568.

2796 conjugacy classes of subgroups.

The subgroup lattice has 2072 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811422C211yesmaximal, characteristic, complemented
2C2×#135×D53C211yesmaximal, characteristic, complemented
3#20288204C211yesmaximal, characteristic, complemented
4#20288202C211yesmaximal, characteristic, complemented
5#20286304C211yesmaximal, characteristic, complemented
6#20286301C211yesmaximal, characteristic, complemented
7#20286291C211yesmaximal, characteristic, complemented
8#20286288C211yesmaximal, characteristic, complemented
9#20286267C211yesmaximal, characteristic, complemented
10#20286260C211yesmaximal, characteristic, complemented
11#20286255C211yesmaximal, characteristic, complemented
12#20286244C211yesmaximal, characteristic, complemented
13#20286241C211yesmaximal, characteristic, complemented
14#20286224C211yesmaximal, characteristic, complemented
15#20286219C211yesmaximal, characteristic, complemented
16#20286217C211yesmaximal, characteristic, complemented
17#20286212C211yesmaximal, characteristic, complemented
18#20286201C211yesmaximal, characteristic, complemented
19#20286198C211yesmaximal, characteristic, complemented
20#20285159C211yesmaximal, characteristic, complemented
21#20284319C211yesmaximal, characteristic, complemented
22#20284298C211yesmaximal, characteristic, complemented
23#20284173C211yesmaximal, characteristic, complemented
24#20284167C211yesmaximal, characteristic, complemented
25#20283938C211yesmaximal, characteristic, complemented
26#20283936C211yesmaximal, characteristic, complemented
27#20283936C211yesmaximal, characteristic, complemented
28#20283930C211yesmaximal, characteristic, complemented
29#20283510C211yesmaximal, characteristic, complemented
30#435×D53C211yesmaximal, characteristic, complemented
31C53×#3269C211yesmaximal, characteristic, complemented
32C22×#11719949C2211yescharacteristic, complemented
33C2×#41×D53C2211yescharacteristic, complemented
34C2×#41×D53C2211yescharacteristic, complemented
35C2×#41×D53C2211yescharacteristic, complemented
36#16811422—28no—
37C2×#13133249C2211yescharacteristic, complemented
38C2×#13133249C2211yescharacteristic, complemented
39C2×#13133248C2211yescharacteristic, complemented
40C2×#13133245C2211yescharacteristic, complemented
41C2×#13133244C2211yescharacteristic, complemented
42C2×#13133244C2211yescharacteristic, complemented
43C2×#13133242C2211yescharacteristic, complemented
44C2×#13133240C2211yescharacteristic, complemented
45C2×#13133240C2211yescharacteristic, complemented
46C2×#13133240C2211yescharacteristic, complemented
47C2×#13133240C2211yescharacteristic, complemented
48C2×#13133239C2211yescharacteristic, complemented
49C2×#13133238C2211yescharacteristic
50C2×#13133238C2211yescharacteristic, complemented
51C2×#13133238C2211yescharacteristic, complemented
52C2×#13133238C2211yescharacteristic, complemented
53C2×#13133237C2211yescharacteristic, complemented
54C2×#13133237C2211yescharacteristic, complemented
55C2×#13133236C2211yescharacteristic, complemented
56#135×D53—28no—
57C2×Q16×D53C2211yescharacteristic, complemented
58C2×SD16×D53C2211yescharacteristic, complemented
59C2×SD16×D53C2211yescharacteristic, complemented
60C2×D8×D53C2211yescharacteristic, complemented
61C2×M16×D53C2211yescharacteristic, complemented
62C22×C8×D53C2211yescharacteristic, complemented
63#16811294C2211yescharacteristic, complemented
64#16811292C2211yescharacteristic, complemented
65#16811288C2211yescharacteristic, complemented
66Q8×C22⋊D53C2211yescharacteristic, complemented
67#16811285C2211yescharacteristic
68#16811283C2211yescharacteristic
69#16811283C2211yescharacteristic, complemented
70#16811275—21no—
71#16811275C2211yescharacteristic, complemented
72#16811274—21no—
73#16811269—21no—
74#16811269C2211yescharacteristic, complemented
75#16811266—21no—
76#16811266C2211yescharacteristic
77#16811265—21no—
78#16811265—21no—
79#16811261C2211yescharacteristic
80#16811261C2211yescharacteristic, complemented
81D4×D212C2211yescharacteristic, complemented
82#16811257—21no—
83#16811257—21no—
84#16811257C2211yescharacteristic, complemented
85#16811174C2211yescharacteristic, complemented
86#16811172—21no—
87#16811172C2211yescharacteristic, complemented
88#16811168—21no—
89#16811136—21no—
90#16811136C2211yescharacteristic, complemented
91#16811136C2211yescharacteristic, complemented
92#16811136C2211yescharacteristic, complemented
93#16811133—21no—
94#16811133C2211yescharacteristic, complemented
95#16811131—21no—
96#16811131—21no—
97C4×#11719949C2211yescharacteristic, complemented
98C4×#11719947C2211yescharacteristic, complemented
99C2×#13133179—21no—
100C4×D4×D53—21no—
101C4×D4×D53C2211yescharacteristic
102#16811016C2211yescharacteristic, complemented
103#16811016C2211yescharacteristic, complemented
104#16811015C2211yescharacteristic, complemented
105#16811013C2211yescharacteristic, complemented
106#16811012C2211yescharacteristic, complemented
107#16811009C2211yescharacteristic, complemented
108#16811009C2211yescharacteristic, complemented
109#16810880C2211yescharacteristic, complemented
110#16810879C2211yescharacteristic, complemented
111#16810875C2211yescharacteristic, complemented
112#16810874C2211yescharacteristic, complemented
113#16810870C2211yescharacteristic, complemented
114#16810869C2211yescharacteristic, complemented
115#16810866C2211yescharacteristic, complemented
116#16810861C2211yescharacteristic, complemented
117#16810860C2211yescharacteristic, complemented
118#16810859C2211yescharacteristic, complemented
119#16810855C2211yescharacteristic, complemented
120#16810855C2211yescharacteristic, complemented
121#16810854C2211yescharacteristic, complemented
122#16810854C2211yescharacteristic, complemented
123#16810847C2211yescharacteristic, complemented
124#16810847C2211yescharacteristic, complemented
125#16810846C2211yescharacteristic, complemented
126#16810842C2211yescharacteristic, complemented
127#16810841C2211yescharacteristic, complemented
128#16810841C2211yescharacteristic, complemented
129#16810838C2211yescharacteristic, complemented
130#16810832C2211yescharacteristic, complemented
131#16810826C2211yescharacteristic, complemented
132#16810825C2211yescharacteristic, complemented
133#16810823C2211yescharacteristic, complemented
134#16810822C2211yescharacteristic, complemented
135#16810819C2211yescharacteristic, complemented
136#16810816C2211yescharacteristic, complemented
137#16810787C2211yescharacteristic, complemented
138#16810785C2211yescharacteristic, complemented
139#16810784C2211yescharacteristic, complemented
140#16810784C2211yescharacteristic, complemented
141#16810783C2211yescharacteristic, complemented
142#16810783C2211yescharacteristic, complemented
143#16810780C2211yescharacteristic, complemented
144#16810777C2211yescharacteristic, complemented
145#16810777C2211yescharacteristic, complemented
146#16810775C2211yescharacteristic, complemented
147#16810773C2211yescharacteristic, complemented
148#16810772C2211yescharacteristic, complemented
149#16810772C2211yescharacteristic, complemented
150#16810771C2211yescharacteristic, complemented
151#16810771C2211yescharacteristic, complemented
152#16810770C2211yescharacteristic, complemented
153#16810770C2211yescharacteristic, complemented
154#16810768C2211yescharacteristic, complemented
155#16810768C2211yescharacteristic, complemented
156#16810766C2211yescharacteristic, complemented
157#16810763C2211yescharacteristic, complemented
158#16810763C2211yescharacteristic, complemented
159#16810762C2211yescharacteristic, complemented
160#16810760C2211yescharacteristic, complemented
161#16810759C2211yescharacteristic, complemented
162#16810758C2211yescharacteristic, complemented
163#16810758C2211yescharacteristic, complemented
164#16810755C2211yescharacteristic, complemented
165#16810733C2211yescharacteristic, complemented
166#16810732C2211yescharacteristic, complemented
167#16810728C2211yescharacteristic, complemented
168#16810727C2211yescharacteristic, complemented
169#16810725C2211yescharacteristic, complemented
170#16810724C2211yescharacteristic, complemented
171#16810722C2211yescharacteristic, complemented
172#16810697C2211yescharacteristic, complemented
173#16810696C2211yescharacteristic, complemented
174#16810695C2211yescharacteristic, complemented
175#16810694C2211yescharacteristic, complemented
176#16810693C2211yescharacteristic, complemented
177#16810692C2211yescharacteristic, complemented
178#16810691C2211yescharacteristic, complemented
179#16810660C2211yescharacteristic, complemented
180C4⋊C8×D53C2211yescharacteristic, complemented
181#16810618C2211yescharacteristic, complemented
182#16810618C2211yescharacteristic, complemented
183#16810618C2211yescharacteristic, complemented
184#16810618C2211yescharacteristic, complemented
185#16810616C2211yescharacteristic, complemented
186#16810616C2211yescharacteristic, complemented
187C22⋊C8×D53C2211yescharacteristic, complemented
188C22⋊C8×D53C2211yescharacteristic, complemented
189#97×D53C2211yescharacteristic, complemented
190C2×#137×C53C2211yescharacteristic, complemented
191C2×#135×C53C2211yescharacteristic, complemented
192C53×#548C2211yescharacteristic, complemented
193C53×#547C2211yescharacteristic, complemented
194C53×#497C2211yescharacteristic, complemented
195C53×#468C2211yescharacteristic, complemented
196C53×#467C2211yescharacteristic, complemented
197C53×#463C2211yescharacteristic, complemented
198C53×#462C2211yescharacteristic, complemented
199C53×#452C2211yescharacteristic, complemented
200C53×#452C2211yescharacteristic, complemented
201C53×#451C2211yescharacteristic, complemented
202C53×#449C2211yescharacteristic, complemented
203C53×#440C2211yescharacteristic, complemented
204C53×#435C2211yescharacteristic, complemented
205C2×#11719949—21no—
206C2×#11719949—21no—
207C2×#11719949—24no—
208C2×#11719949—42no—
209C2×#11719949C2311yescharacteristic
210C2×#11719949C2311yescharacteristic
211C2×#11719949C2311yescharacteristic
212C2×#11719949C2311yescharacteristic
213C2×#11719949C2311yescharacteristic
214C2×#11719949C2311yescharacteristic
215C2×#11719945—21no—
216C2×#11719945—21no—
217C2×#11719945—21no—
218C2×#11719945C2311yescharacteristic
219C2×#11719945C2311yescharacteristic
220C2×#11719945C2311yescharacteristic
221C2×#11719947—21no—
222C2×#11719947—21no—
223C2×#11719947—21no—
224C2×#11719947C2311yescharacteristic
225C2×#11719947C2311yescharacteristic
226#41×D53—24no—
227#41×D53—24no—
228#41×D53—24no—
229#41×D53—42no—
230#41×D53—42no—
231#41×D53—42no—
232C2×Q8×D53C2311yescharacteristic
233C2×Q8×D53C2311yescharacteristic
234C2×Q8×D53C2311yescharacteristic
235C22×D212—21no—
236C22×D212—21no—
237C22×D212C2311yescharacteristic
238C2×D4×D53—21no—
239C2×D4×D53—21no—
240C2×D4×D53—21no—
241C2×D4×D53—21no—
242C2×D4×D53D411yescharacteristic
243C2×D4×D53C2311yescharacteristic
244C2×D4×D53C2311yescharacteristic
245C2×D4×D53C2311yescharacteristic
246C22×C4×D53—21no—
247C22×C4×D53—21no—
248C22×C4×D53—21no—
249C22×C4×D53—21no—
250C22×C4×D53C2311yescharacteristic
251C22×C4×D53C2311yescharacteristic
252#13133249—24no—
253#13133249—24no—
254#13133248—24no—
255#13133245—24no—
256#13133244—24no—
257#13133244—24no—
258#13133242—24no—
259#13133240—24no—
260#13133240—24no—
261#13133240—24no—
262#13133240—42no—
263#13133239—24no—
264#13133238—24no—
265#13133238—24no—
266#13133238—42no—
267#13133238D418yescomplemented
268#13133237—24no—
269#13133237—24no—
270#13133236—24no—
271C2×Dic212C2311yescharacteristic
272C2×#11719925C2311yescharacteristic
273C2×#11719925C2311yescharacteristic
274C2×#11719925C2311yescharacteristic
275C2×#11719925C2311yescharacteristic
276Q16×D53—24no—
277C2×#11719913C2311yescharacteristic
278C2×#11719913C2311yescharacteristic
279C2×#11719913C2311yescharacteristic
280C2×#11719913C2311yescharacteristic
281C2×#11719923C2311yescharacteristic
282C2×#11719923C2311yescharacteristic
283C2×#11719924C2311yescharacteristic
284C2×#11719924C2311yescharacteristic
285C2×#11719924C2311yescharacteristic
286C2×#11719924C2311yescharacteristic
287C2×#11719924C2311yescharacteristic
288C2×#11719924C2311yescharacteristic
289C2×#11719924C2311yescharacteristic
290C2×#11719924C2311yescharacteristic
291SD16×D53—24no—
292SD16×D53—24no—
293C2×D424C2311yescharacteristic
294C2×D424C2311yescharacteristic
295C2×D424C2311yescharacteristic
296C2×D424C2311yescharacteristic
297C2×#11719922C2311yescharacteristic
298C2×#11719922C2311yescharacteristic
299C2×#11719922C2311yescharacteristic
300C2×#11719922C2311yescharacteristic
301D8×D53—24no—
302C2×#11719917C2311yescharacteristic
303C2×#11719912C2311yescharacteristic
304C2×#11719912C2311yescharacteristic
305M16×D53—24no—
306C22×#88322C2311yescharacteristic
307C2×C8×D53—24no—
308C2×C8×D53C2311yescharacteristic
309C2×C8×D53C2311yescharacteristic
310C2×C8×D53C2311yescharacteristic
311C2×C8×D53C2311yescharacteristic
312C2×C8×D53C2311yescharacteristic
313C2×C8×D53C2311yescharacteristic
314#13133216—21no—
315#13133215—21no—
316#13133215C2311yescharacteristic
317#13133214C2311yescharacteristic
318#13133213—21no—
319#13133213—21no—
320#13133213C2311yescharacteristic
321#13133206C2311yescharacteristic
322#13133206C2311yescharacteristic
323#13133205—21no—
324#13133205C2311yescharacteristic
325#13133203—21no—
326#13133203—21no—
327#13133202—21no—
328#13133202—21no—
329#13133202—21no—
330#13133202—21no—
331#13133202—21no—
332#13133200—21no—
333#13133200—21no—
334#13133199—21no—
335#13133199—21no—
336#13133199—21no—
337#13133197—21no—
338#13133197C2311yescharacteristic
339#13133196—21no—
340#13133196C2311yescharacteristic
341#13133195—21no—
342#13133195—21no—
343#13133195—21no—
344#13133195—21no—
345#13133193—21no—
346#13133193C2311yescharacteristic
347#13133193C2311yescharacteristic
348#13133193C2311yescharacteristic
349#13133192—21no—
350#13133192—21no—
351#13133192—21no—
352#13133192C2311yescharacteristic
353#13133192C2311yescharacteristic
354#13133192C2311yescharacteristic
355#13133191—21no—
356#13133191—21no—
357#13133191C2311yescharacteristic
358#13133191C2311yescharacteristic
359#13133191C2311yescharacteristic
360#13133190—21no—
361#13133190—21no—
362#13133190—21no—
363#13133190—21no—
364#13133190—21no—
365#13133190—21no—
366#13133190—21no—
367#13133190—21no—
368#13133190—21no—
369#13133190—21no—
370#13133189—21no—
371#13133189—21no—
372#13133188—21no—
373#13133188C2311yescharacteristic
374#13133187—21no—
375#13133187—21no—
376#13133187—21no—
377#13133187—21no—
378#13133187—21no—
379#13133187—21no—
380#13133187—21no—
381#13133185—21no—
382#13133185—21no—
383#13133185—21no—
384#13133185—21no—
385#13133185—21no—
386Q8×Dic53C2311yescharacteristic
387C4×Dic106C2311yescharacteristic
388#13133182C2311yescharacteristic
389C4×D212—21no—
390C4×D212—21no—
391C4×D212C2311yescharacteristic
392C4×D212C2311yescharacteristic
393D4×Dic53—21no—
394D4×Dic53D411yescharacteristic
395D4×Dic53C2311yescharacteristic
396#13133179—21no—
397#13133179—21no—
398#13133179—21no—
399#13133179—21no—
400#13133179—21no—
401#13133179—21no—
402#13133179—21no—
403#13133179—21no—
404#13133179—21no—
405#13133179—21no—
406#13133179D411yescharacteristic
407#13133179C2311yescharacteristic
408C4×C22⋊D53—21no—
409C4×C22⋊D53—21no—
410C4×C22⋊D53—21no—
411C4×C22⋊D53C2311yescharacteristic
412C4×C22⋊D53C2311yescharacteristic
413#13133177—21no—
414#13133177—21no—
415#13133177—21no—
416#13133177—21no—
417#13133177—21no—
418#13133177—21no—
419#13133177—21no—
420#13133177D411yescharacteristic
421#13133177D411yescharacteristic
422#13133175—21no—
423#13133175C2311yescharacteristic
424#13133175C2311yescharacteristic
425#13133173—21no—
426C4⋊C4×D53—21no—
427C4⋊C4×D53D411yescharacteristic
428C2×#11719921—21no—
429C2×#11719921—21no—
430C22⋊C4×D53—21no—
431C22⋊C4×D53—21no—
432C22⋊C4×D53D411yescharacteristic
433C22⋊C4×D53D411yescharacteristic
434C2×C4×Dic53—21no—
435C42×D53—21no—
436C42×D53C2311yescharacteristic
437#13133151C2311yescharacteristic
438#13133148C2311yescharacteristic
439#13133148C2311yescharacteristic
440C4⋊#88322C2311yescharacteristic
441#13133146C2311yescharacteristic
442#13133146C2311yescharacteristic
443#13133142C2311yescharacteristic
444#13133142C2311yescharacteristic
445#13133141C2311yescharacteristic
446#13133141C2311yescharacteristic
447#13133141C2311yescharacteristic
448#13133141C2311yescharacteristic
449#13133140C2311yescharacteristic
450#13133140C2311yescharacteristic
451#13133139C2311yescharacteristic
452#13133139C2311yescharacteristic
453#13133139C2311yescharacteristic
454#13133139C2311yescharacteristic
455#13133138C2311yescharacteristic
456#13133138C2311yescharacteristic
457#13133137C2311yescharacteristic
458#13133137C2311yescharacteristic
459#13133137C2311yescharacteristic
460#13133137C2311yescharacteristic
461C22⋊#88322C2311yescharacteristic
462C22⋊#88322C2311yescharacteristic
463#13133129C2311yescharacteristic
464#13133129C2311yescharacteristic
465#13133129C2311yescharacteristic
466#13133129C2311yescharacteristic
467#13133128C2311yescharacteristic
468#13133127C2311yescharacteristic
469#13133127C2311yescharacteristic
470C2×#41×C53C2311yescharacteristic
471C2×#41×C53C2311yescharacteristic
472C2×#41×C53C2311yescharacteristic
473C22×Q8×C53C2311yescharacteristic
474#137×C53—24no—
475#135×C53—24no—
476C2×Q16×C53C2311yescharacteristic
477C2×Q16×C53C2311yescharacteristic
478C2×Q16×C53C2311yescharacteristic
479C2×Q16×C53C2311yescharacteristic
480C2×SD16×C53C2311yescharacteristic
481C2×SD16×C53C2311yescharacteristic
482C2×SD16×C53C2311yescharacteristic
483C2×SD16×C53C2311yescharacteristic
484C2×D8×C53C2311yescharacteristic
485C2×M16×C53C2311yescharacteristic
486C22×C8×C53C2311yescharacteristic
487C4⋊Q8×C53C2311yescharacteristic
488#124×C53—21no—
489#124×C53C2311yescharacteristic
490#123×C53—21no—
491#123×C53—21no—
492C22⋊Q8×C53—21no—
493C22⋊Q8×C53C2311yescharacteristic
494C22⋊Q8×C53C2311yescharacteristic
495C22⋊Q8×C53C2311yescharacteristic
496#121×C53—21no—
497#121×C53—21no—
498#121×C53C2311yescharacteristic
499C4×Q8×C53C2311yescharacteristic
500C4×D4×C53—21no—
501C4×D4×C53C2311yescharacteristic
502C4×D4×C53C2311yescharacteristic
503C2×C4⋊C4×C53—21no—
504#107×C53C2311yescharacteristic
505C4⋊C8×C53C2311yescharacteristic
506#103×C53C2311yescharacteristic
507#103×C53C2311yescharacteristic
508#103×C53C2311yescharacteristic
509#103×C53C2311yescharacteristic
510#102×C53C2311yescharacteristic
511#102×C53C2311yescharacteristic
512C22⋊C8×C53C2311yescharacteristic
513C22⋊C8×C53C2311yescharacteristic
514#97×C53C2311yescharacteristic
515C23×D53—21no—
516C23×D53—21no—
517C23×D53—21no—
518C23×D53—21no—
519C23×D53C2×D411yescharacteristic
520C23×D53C2×D411yescharacteristic
521#41×C53—22no—
522#41×C53—22no—
523#41×C53—22no—
524#41×C53—41no—
525#41×C53—41no—
526#41×C53—41no—
527C2×Q8×C53—21no—
528C2×Q8×C53—22no—
529C2×Q8×C53—41no—
530C2×Q8×C53C2411yescharacteristic
531C2×Q8×C53C2411yescharacteristic
532C2×Q8×C53C2411yescharacteristic
533C2×Q8×C53C2411yescharacteristic
534C2×D4×C53—21no—
535C2×D4×C53—21no—
536C2×D4×C53—21no—
537C2×D4×C53—21no—
538C2×D4×C53C2×D411yescharacteristic
539C2×D4×C53C2411yescharacteristic
540C2×D4×C53C2411yescharacteristic
541C22×C4×C53—21no—
542C22×C4×C53—21no—
543C22×C4×C53—21no—
544C22×C4×C53—21no—
545C22×C4×C53—21no—
546C22×C4×C53C2411yescharacteristic
547C22×C4×C53C2411yescharacteristic
548C2×C22⋊D53—21no—
549C2×C22⋊D53—21no—
550C2×C22⋊D53—21no—
551C2×C22⋊D53—21no—
552C2×C22⋊D53—21no—
553C2×C22⋊D53—21no—
554C2×C22⋊D53—21no—
555C2×C22⋊D53—21no—
556C2×C22⋊D53—21no—
557C2×C22⋊D53—21no—
558C2×C22⋊D53—21no—
559C2×C22⋊D53—21no—
560C2×C22⋊D53—21no—
561C2×C22⋊D53—21no—
562C2×C22⋊D53C2×D411yescharacteristic
563C2×C22⋊D53C2×D411yescharacteristic
564C22×Dic53—21no—
565C22×Dic53—21no—
566C22×Dic53—21no—
567C22×Dic53C2×D411yescharacteristic
568C22×Dic53C2×D411yescharacteristic
569#11719949—22no—
570#11719949—22no—
571#11719949—22no—
572#11719949—22no—
573#11719949—22no—
574#11719949—22no—
575#11719949—22no—
576#11719949—22no—
577#11719949—22no—
578#11719949—44no—
579#11719949—41no—
580#11719949—41no—
581#11719949—44no—
582#11719949C2×D414yescomplemented
583Q8×D53—22no—
584Q8×D53—22no—
585Q8×D53—22no—
586Q8×D53—41no—
587Q8×D53—41no—
588Q8×D53—41no—
589#11719947—22no—
590#11719947—22no—
591#11719947—22no—
592#11719947—44no—
593#11719947—44no—
594#11719947—44no—
595#11719947C2×D414yescomplemented
596D4×D53—22no—
597D4×D53—22no—
598D4×D53—22no—
599D4×D53—41no—
600D4×D53—41no—
601D4×D53—41no—
602D4×D53—42no—
603D4×D53—44no—
604D4×D53—44no—
605D4×D53—44no—
606D4×D53—44no—
607#11719945—22no—
608#11719945—22no—
609#11719945—22no—
610#11719945—41no—
611#11719945—41no—
612#11719945—41no—
613#11719945—44no—
614#11719945—44no—
615#11719945—44no—
616C2×D212—21no—
617C2×D212—22no—
618C2×D212—21no—
619C2×D212—21no—
620C2×D212—21no—
621C2×D212—21no—
622C2×D212—21no—
623C2×D212—21no—
624C2×D212—21no—
625C2×D212—21no—
626C2×D212—21no—
627C2×D212—21no—
628C2×D212—21no—
629C2×D212—41no—
630C2×D212—44no—
631C2×D212—44no—
632C2×D212C2×D411yescharacteristic
633C2×D212C2411yescharacteristic
634C2×D212C2411yescharacteristic
635C2×D212C2411yescharacteristic
636C2×D212C2411yescharacteristic
637C2×C4×D53—21no—
638C2×C4×D53—22no—
639C2×C4×D53—22no—
640C2×C4×D53—22no—
641C2×C4×D53—22no—
642C2×C4×D53—21no—
643C2×C4×D53—21no—
644C2×C4×D53—21no—
645C2×C4×D53—21no—
646C2×C4×D53—21no—
647C2×C4×D53—21no—
648C2×C4×D53—21no—
649C2×C4×D53—21no—
650C2×C4×D53—21no—
651C2×C4×D53—21no—
652C2×C4×D53—21no—
653C2×C4×D53—21no—
654C2×C4×D53—21no—
655C2×C4×D53—44no—
656C2×C4×D53—44no—
657C2×C4×D53—44no—
658C2×C4×D53—44no—
659C2×C4×D53C2×D411yescharacteristic
660C2×C4×D53C2×D411yescharacteristic
661C2×C4×D53C2×D411yescharacteristic
662C2×C4×D53C2×D411yescharacteristic
663C2×C4×D53C2×D411yescharacteristic
664C2×C4×D53C2×D411yescharacteristic
665C2×C4×D53C2411yescharacteristic
666C2×C4×D53C2411yescharacteristic
667C2×C4×D53C2411yescharacteristic
668C2×Dic106—21no—
669C2×Dic106—21no—
670C2×Dic106—21no—
671C2×Dic106C2411yescharacteristic
672C2×Dic106C2411yescharacteristic
673Q16×C53—22no—
674Q16×C53—22no—
675Q16×C53—22no—
676Q16×C53—41no—
677SD16×C53—22no—
678SD16×C53—22no—
679SD16×C53—41no—
680SD16×C53C2×D414yescomplemented
681D8×C53—22no—
682M16×C53—22no—
683C2×C8×C53—22no—
684C2×C8×C53C2411yescharacteristic
685C2×C8×C53C2411yescharacteristic
686C2×C8×C53C2411yescharacteristic
687C2×C8×C53C2411yescharacteristic
688C4⋊C4×C53—21no—
689C4⋊C4×C53—21no—
690C4⋊C4×C53—21no—
691C4⋊C4×C53—21no—
692C4⋊C4×C53—21no—
693C4⋊C4×C53—21no—
694C4⋊C4×C53C2×D411yescharacteristic
695C4⋊C4×C53C2411yescharacteristic
696C4⋊C4×C53C2411yescharacteristic
697C22⋊C4×C53—21no—
698C22⋊C4×C53—21no—
699C22⋊C4×C53—21no—
700C22⋊C4×C53—21no—
701C22⋊C4×C53—21no—
702C22⋊C4×C53—21no—
703C22⋊C4×C53—21no—
704C22⋊C4×C53C2×D411yescharacteristic
705C22⋊C4×C53C2×D411yescharacteristic
706C42×C53—21no—
707C42×C53C2411yescharacteristic
708C22⋊Dic53—21no—
709C22⋊Dic53—21no—
710C22⋊Dic53—21no—
711C22⋊Dic53C2×D411yescharacteristic
712C22⋊Dic53C2×D411yescharacteristic
713#11719925—22no—
714#11719925—22no—
715#11719925—41no—
716#11719925C2×D414yescomplemented
717#11719924—22no—
718#11719924—22no—
719#11719924—22no—
720#11719924—22no—
721#11719924—22no—
722#11719924—22no—
723#11719924—41no—
724#11719924—41no—
725#11719923—22no—
726#11719923—22no—
727#11719922—22no—
728#11719922—22no—
729#11719922—41no—
730#11719922C2×D414yescomplemented
731#11719921—21no—
732#11719921—21no—
733#11719921—21no—
734#11719921—21no—
735#11719921—21no—
736#11719921—21no—
737#11719921—21no—
738#11719921—21no—
739#11719921—21no—
740#11719921—21no—
741#11719921—21no—
742#11719921—21no—
743#11719921—21no—
744#11719921—21no—
745#11719921—21no—
746#11719921—21no—
747#11719921—21no—
748#11719921—21no—
749#11719921—21no—
750#11719921—21no—
751#11719921C2×D411yescharacteristic
752#11719921C2×D411yescharacteristic
753#11719921C2×D411yescharacteristic
754#11719921C2×D411yescharacteristic
755C4⋊Dic53—21no—
756C4⋊Dic53—21no—
757C4⋊Dic53C2×D411yescharacteristic
758C4⋊Dic53C2411yescharacteristic
759C4⋊Dic53C2411yescharacteristic
760#11719919—21no—
761#11719919—21no—
762#11719919—21no—
763#11719919—21no—
764#11719919—21no—
765#11719919—21no—
766#11719919—21no—
767#11719919—21no—
768#11719919C2×D411yescharacteristic
769#11719919C2×D411yescharacteristic
770C4×Dic53—21no—
771C4×Dic53—21no—
772C4×Dic53—21no—
773C4×Dic53—21no—
774C4×Dic53—21no—
775C4×Dic53C2×D411yescharacteristic
776C4×Dic53C2×D411yescharacteristic
777C4×Dic53C2411yescharacteristic
778#11719917—22no—
779C2×#88322—22no—
780C2×#88322C2411yescharacteristic
781C2×#88322C2411yescharacteristic
782C2×#88322C2411yescharacteristic
783C2×#88322C2411yescharacteristic
784Dic212—22no—
785D424—22no—
786D424—22no—
787D424—22no—
788D424—41no—
789#11719913—22no—
790#11719913—22no—
791#11719913—41no—
792#11719913C2×D414yescomplemented
793#11719912—22no—
794#11719912—22no—
795C8×D53—22no—
796C8×D53—22no—
797C8×D53—22no—
798C8×D53—22no—
799C8×D53—22no—
800C8×D53C2×D414yescomplemented
801C23×C53—21no—
802C23×C53—21no—
803C23×C53C22×D411yescharacteristic
804C23×C53C22×D411yescharacteristic
805C22×D53—21no—
806C22×D53—22no—
807C22×D53—22no—
808C22×D53—22no—
809C22×D53—21no—
810C22×D53—21no—
811C22×D53—21no—
812C22×D53—41no—
813C22×D53—41no—
814C22×D53—41no—
815C22×D53—42no—
816C22×D53—42no—
817C22×D53—42no—
818C22×D53—42no—
819C22×D53—42no—
820C22×D53—42no—
821C22×D53—42no—
822C22×D53—42no—
823C22×D53—81no—
824C22×D53—81no—
825C22×D53—81no—
826C22×D53—81no—
827C22×D53C22×D411yescharacteristic
828C22×D53C22×D411yescharacteristic
829C22×D53C22×D411yescharacteristic
830Q8×C53—21no—
831Q8×C53—21no—
832Q8×C53—21no—
833Q8×C53—21no—
834Q8×C53—21no—
835Q8×C53—21no—
836Q8×C53—21no—
837Q8×C53—42no—
838Q8×C53C22×D412yes—
839D4×C53—21no—
840D4×C53—21no—
841D4×C53—21no—
842D4×C53—41no—
843D4×C53—42no—
844D4×C53—42no—
845D4×C53—42no—
846D4×C53—42no—
847D4×C53C22×D412yes—
848C2×C4×C53—21no—
849C2×C4×C53—21no—
850C2×C4×C53—21no—
851C2×C4×C53—21no—
852C2×C4×C53—21no—
853C2×C4×C53—21no—
854C2×C4×C53—21no—
855C2×C4×C53—21no—
856C2×C4×C53—21no—
857C2×C4×C53—21no—
858C2×C4×C53—42no—
859C2×C4×C53—42no—
860C2×C4×C53—42no—
861C2×C4×C53—42no—
862C2×C4×C53—42no—
863C2×C4×C53C22×D411yescharacteristic
864C2×C4×C53C22×D411yescharacteristic
865C2×C4×C53C22×D411yescharacteristic
866C2×C4×C53C22×D411yescharacteristic
867C2×C4×C53C2511yescharacteristic
868C22⋊D53—24no—
869C22⋊D53—22no—
870C22⋊D53—41no—
871C22⋊D53—42no—
872C22⋊D53—42no—
873C22⋊D53—42no—
874C22⋊D53—42no—
875C22⋊D53—42no—
876C22⋊D53—42no—
877C22⋊D53—42no—
878C22⋊D53—42no—
879C22⋊D53—81no—
880C22⋊D53—81no—
881C22⋊D53—81no—
882C22⋊D53—81no—
883C22⋊D53—81no—
884C2×Dic53—21no—
885C2×Dic53—22no—
886C2×Dic53—22no—
887C2×Dic53—24no—
888C2×Dic53—21no—
889C2×Dic53—21no—
890C2×Dic53—21no—
891C2×Dic53—42no—
892C2×Dic53—81no—
893C2×Dic53C22×D411yescharacteristic
894C2×Dic53C22×D411yescharacteristic
895C2×Dic53C22×D411yescharacteristic
896C2×Dic53C22×D411yescharacteristic
897C2×Dic53C22×D411yescharacteristic
898D212—24no—
899D212—22no—
900D212—21no—
901D212—21no—
902D212—21no—
903D212—21no—
904D212—21no—
905D212—21no—
906D212—21no—
907D212—42no—
908D212—42no—
909D212—42no—
910D212—42no—
911D212—42no—
912D212—42no—
913D212—42no—
914D212—42no—
915D212—42no—
916D212—42no—
917D212—81no—
918D212C22×D412yes—
919C4×D53—22no—
920C4×D53—22no—
921C4×D53—21no—
922C4×D53—21no—
923C4×D53—21no—
924C4×D53—21no—
925C4×D53—22no—
926C4×D53—22no—
927C4×D53—24no—
928C4×D53—41no—
929C4×D53—41no—
930C4×D53—42no—
931C4×D53—42no—
932C4×D53—42no—
933C4×D53—42no—
934C4×D53—42no—
935C4×D53—42no—
936C4×D53—42no—
937C4×D53—42no—
938C4×D53—42no—
939C4×D53—42no—
940C4×D53—42no—
941C4×D53—42no—
942C4×D53—81no—
943C4×D53C22×D412yes—
944C4×D53H(5,𝔽2)12yes—
945Dic106—21no—
946Dic106—21no—
947Dic106—21no—
948Dic106—42no—
949Dic106—42no—
950Dic106—42no—
951Dic106C22×D412yes—
952C8×C53—21no—
953C8×C53—21no—
954C8×C53—21no—
955C8×C53C22×D412yes—
956#88322—21no—
957#88322—21no—
958#88322—21no—
959#88322C22×D412yes—
960#61030—531nomaximal, Sylow
961C22×C53—21no—
962C22×C53—21no—
963C22×C53—22no—
964C22×C53—21no—
965C22×C53—21no—
966C22×C53—21no—
967C22×C53—21no—
968C22×C53—41no—
969C22×C53—41no—
970C22×C53—41no—
971C22×C53—41no—
972C22×C53—41no—
973C22×C53C23×D411yescharacteristic
974C2×D53—21no—
975C2×D53—21no—
976C2×D53—21no—
977C2×D53—21no—
978C2×D53—21no—
979C2×D53—21no—
980C2×D53—22no—
981C2×D53—21no—
982C2×D53—44no—
983C2×D53—41no—
984C2×D53—41no—
985C2×D53—41no—
986C2×D53—41no—
987C2×D53—41no—
988C2×D53—41no—
989C2×D53—41no—
990C2×D53—41no—
991C2×D53—41no—
992C2×D53—41no—
993C2×D53—41no—
994C2×D53—82no—
995C2×D53—84no—
996C2×D53—84no—
997C2×D53—84no—
998C2×D53—84no—
999C2×D53D4212yes—
1000C2×D53#57512yescomplemented
1001C4×C53—21no—
1002C4×C53—22no—
1003C4×C53—21no—
1004C4×C53—21no—
1005C4×C53—21no—
1006C4×C53—41no—
1007C4×C53—41no—
1008C4×C53—41no—
1009C4×C53—41no—
1010C4×C53—41no—
1011C4×C53C23×D411yescharacteristic
1012C4×C53C2×H(5,𝔽2)11yescharacteristic
1013Dic53—21no—
1014Dic53—22no—
1015Dic53—21no—
1016Dic53—21no—
1017Dic53—21no—
1018Dic53—41no—
1019Dic53—41no—
1020Dic53—41no—
1021Dic53D4212yes—
1022C2×#575—531no—
1023C22×#135—531no—
1024D4×#41—531no—
1025D4×#41—531no—
1026#3271—531no—
1027#3271—531no—
1028#3270—531no—
1029#3270—531no—
1030#3269—531no—
1031#3269D5311yescharacteristic, complemented
1032#3268—531no—
1033#3268—531no—
1034#3267—531no—
1035#3267—531no—
1036#3266—531no—
1037#3266—531no—
1038#3265—531no—
1039#3265—531no—
1040#3264—531no—
1041#3264—531no—
1042#3150—531no—
1043#3054—531no—
1044#3050—531no—
1045#3035—531no—
1046#3035—531no—
1047#3002—531no—
1048#3002—531no—
1049#3002—531no—
1050#3002—531no—
1051#2943—531no—
1052C2×#435—531no—
1053C2×C53—41no—
1054C2×C53—41no—
1055C2×C53—42no—
1056C2×C53—81no—
1057C2×C53C2×D4211yescharacteristic
1058C2×C53C2×#57511yescharacteristic
1059C2×C53#358411yescharacteristic
1060D53—22no—
1061D53—22no—
1062D53—41no—
1063D53—42no—
1064D53—81no—
1065D53—81no—
1066D53—81no—
1067C22×#41—531no—
1068C22×#41—531no—
1069C22×#41—531no—
1070C22×#41—531no—
1071#575—1068no—
1072C2×#137—531no—
1073C2×#137—531no—
1074C2×#137—531no—
1075C2×#137C2×D5311yescharacteristic, complemented
1076C2×AGL(1,ℤ/8)—531no—
1077C2×AGL(1,ℤ/8)—531no—
1078C2×AGL(1,ℤ/8)—531no—
1079C2×AGL(1,ℤ/8)—531no—
1080C2×#135—531no—
1081C2×#135—531no—
1082C2×#135—531no—
1083C2×#135—531no—
1084C2×#135—531no—
1085C2×#135—531no—
1086C2×#135—531no—
1087C2×#135—531no—
1088C2×#135—531no—
1089C2×#135—531no—
1090C2×#135—531no—
1091C2×#135—531no—
1092C2×#135—1068no—
1093C2×#135C2×D5311yescharacteristic, complemented
1094C22×Q16—531no—
1095C22×SD16—531no—
1096C22×SD16—531no—
1097C22×D8—531no—
1098C22×M16—531no—
1099C23×C8—531no—
1100#550—531no—
1101#550—531no—
1102D4×Q8—531no—
1103D4×Q8—531no—
1104#548—531no—
1105#548—531no—
1106#548—531no—
1107#548C2×D5311yescharacteristic, complemented
1108#547—531no—
1109#547—1061no—
1110#547—1061no—
1111#547C2×D5311yescharacteristic, complemented
1112#546—531no—
1113#546—531no—
1114#546—531no—
1115#546—531no—
1116#546—1061no—
1117#546—1061no—
1118#546—1061no—
1119#546—1061no—
1120D42—531no—
1121D42—531no—
1122D42—1061no—
1123D42—1061no—
1124#532—531no—
1125#532—531no—
1126#532—1061no—
1127#532—1061no—
1128#525—531no—
1129#525—531no—
1130#525—531no—
1131#525—531no—
1132#525—1061no—
1133#525—1061no—
1134#525—1061no—
1135#525—1061no—
1136C4×#41—531no—
1137C4×#41—531no—
1138C2×C4×D4—531no—
1139C2×C4×D4—1061no—
1140C2×C4×D4—1061no—
1141#497—531no—
1142#497—531no—
1143#497—531no—
1144#497C2×D5311yescharacteristic, complemented
1145#496—531no—
1146#496—531no—
1147#496—531no—
1148#496—531no—
1149#470—531no—
1150#470—531no—
1151#469—531no—
1152#469—531no—
1153#468—531no—
1154#468—531no—
1155#468—531no—
1156#468C2×D5311yescharacteristic, complemented
1157#467—531no—
1158#467C2×D5311yescharacteristic, complemented
1159#466—531no—
1160#466—531no—
1161#465—531no—
1162#465—531no—
1163#465—531no—
1164#465—531no—
1165#464—531no—
1166#464—531no—
1167#464—531no—
1168#464—531no—
1169#463—531no—
1170#463—531no—
1171#463—531no—
1172#463C2×D5311yescharacteristic, complemented
1173#462—531no—
1174#462C2×D5311yescharacteristic, complemented
1175#461—531no—
1176#461—531no—
1177#460—531no—
1178#460—531no—
1179#459—531no—
1180#459—531no—
1181#452—531no—
1182#452—531no—
1183#452—531no—
1184#452—531no—
1185#452—531no—
1186#452—531no—
1187#452C2×D5311yescharacteristic, complemented
1188#452C2×D5311yescharacteristic, complemented
1189#451—531no—
1190#451—531no—
1191#451—531no—
1192#451C2×D5311yescharacteristic, complemented
1193#450—531no—
1194#450—531no—
1195#450—531no—
1196#450—531no—
1197#449—531no—
1198#449—531no—
1199#449—531no—
1200#449—531no—
1201#449—531no—
1202#449—531no—
1203#449—531no—
1204#449C2×D5311yescharacteristic, complemented
1205#448—531no—
1206#448—531no—
1207#448—531no—
1208#448—531no—
1209#447—531no—
1210#447—531no—
1211#447—531no—
1212#447—531no—
1213#442—531no—
1214#442—531no—
1215#441—531no—
1216#441—531no—
1217#440—531no—
1218#440—531no—
1219#440—531no—
1220#440C2×D5311yescharacteristic, complemented
1221#435—531no—
1222#435—531no—
1223#435—531no—
1224#435—531no—
1225#435—531no—
1226#435—531no—
1227#435—531no—
1228#435C2×D5311yescharacteristic, complemented
1229#427—531no—
1230C2×C4⋊C8—531no—
1231#416—531no—
1232#416—531no—
1233#416—531no—
1234#416—531no—
1235#416—531no—
1236#416—531no—
1237C2×C22⋊C8—531no—
1238C2×C22⋊C8—531no—
1239C2×#97—531no—
1240C53#6103011yescharacteristic, complemented, Sylow
1241C2×#41—531no—
1242C2×#41—531no—
1243C2×#41—531no—
1244C2×#41—531no—
1245C2×#41—531no—
1246C2×#41—531no—
1247C2×#41—531no—
1248C2×#41—531no—
1249C2×#41—531no—
1250C2×#41—531no—
1251C2×#41—531no—
1252C2×#41—1061no—
1253C2×#41—1061no—
1254C2×#41—1061no—
1255C2×#41—1061no—
1256C2×#41—1061no—
1257C2×#41—1061no—
1258C2×#41—1061no—
1259C2×#41—1061no—
1260C2×#41—1064no—
1261C2×#41—1064no—
1262C2×#41—1064no—
1263C2×#41—1064no—
1264C2×#41—2122no—
1265C2×#41—2122no—
1266C2×#41—2122no—
1267C2×#41—2122no—
1268C2×#41C22×D5311yescharacteristic
1269C2×#41C22×D5311yescharacteristic
1270C2×#41C22×D5311yescharacteristic
1271C22×Q8—531no—
1272C22×Q8—531no—
1273C22×Q8—531no—
1274C22×Q8C22×D5311yescharacteristic
1275C22×D4—531no—
1276C22×D4—531no—
1277C22×D4—531no—
1278C22×D4—531no—
1279C22×D4—531no—
1280C22×D4—1061no—
1281C22×D4—1061no—
1282C22×D4—1061no—
1283C22×D4—1061no—
1284C22×D4—1061no—
1285C22×D4—1061no—
1286C23×C4—531no—
1287C23×C4—531no—
1288C23×C4—1061no—
1289C23×C4—1061no—
1290C23×C4—1061no—
1291C23×C4—1061no—
1292#137—24no—
1293#137—1064no—
1294#137—1064no—
1295#137—1064no—
1296AGL(1,ℤ/8)—1064no—
1297AGL(1,ℤ/8)—1064no—
1298AGL(1,ℤ/8)—1064no—
1299AGL(1,ℤ/8)—1064no—
1300#135—24no—
1301#135—538no—
1302#135—1064no—
1303#135—1064no—
1304#135—1064no—
1305#135—1064no—
1306#135—1064no—
1307#135—1064no—
1308#135—1064no—
1309#135—1064no—
1310#135—1064no—
1311#135—2122no—
1312#135—2122no—
1313C2×Q16—531no—
1314C2×Q16—531no—
1315C2×Q16—531no—
1316C2×Q16—531no—
1317C2×Q16—531no—
1318C2×Q16—1064no—
1319C2×Q16C22×D5311yescharacteristic
1320C2×Q16C22×D5311yescharacteristic
1321C2×Q16C22×D5311yescharacteristic
1322C2×Q16C22×D5311yescharacteristic
1323C2×SD16—531no—
1324C2×SD16—531no—
1325C2×SD16—531no—
1326C2×SD16—531no—
1327C2×SD16—531no—
1328C2×SD16—531no—
1329C2×SD16—531no—
1330C2×SD16—531no—
1331C2×SD16—531no—
1332C2×SD16—531no—
1333C2×SD16—531no—
1334C2×SD16—531no—
1335C2×SD16—531no—
1336C2×SD16—531no—
1337C2×SD16—1064no—
1338C2×SD16—1064no—
1339C2×SD16C22×D5311yescharacteristic
1340C2×SD16C22×D5311yescharacteristic
1341C2×SD16C22×D5311yescharacteristic
1342C2×SD16C22×D5311yescharacteristic
1343C2×D8—531no—
1344C2×D8—531no—
1345C2×D8—531no—
1346C2×D8—531no—
1347C2×D8—531no—
1348C2×D8—531no—
1349C2×D8—531no—
1350C2×D8—531no—
1351C2×D8—1064no—
1352C2×D8C22×D5311yescharacteristic
1353C2×M16—531no—
1354C2×M16—531no—
1355C2×M16—531no—
1356C2×M16—1064no—
1357C2×M16C22×D5311yescharacteristic
1358C22×C8—531no—
1359C22×C8—531no—
1360C22×C8—531no—
1361C22×C8—531no—
1362C22×C8—531no—
1363C22×C8—531no—
1364C22×C8—531no—
1365C22×C8—1064no—
1366C22×C8C22×D5311yescharacteristic
1367C4⋊Q8—531no—
1368C4⋊Q8—1061no—
1369C4⋊Q8—1061no—
1370C4⋊Q8C22×D5311yescharacteristic
1371#127—531no—
1372#127—531no—
1373#127—1061no—
1374#127—1061no—
1375#124—21no—
1376#124—531no—
1377#124—531no—
1378#124—531no—
1379#124—1061no—
1380#124—1061no—
1381#124—1061no—
1382#124C22×D5311yescharacteristic
1383#123—21no—
1384#123—21no—
1385#123—1061no—
1386#123—1061no—
1387#123—1061no—
1388#123—1061no—
1389#123—1061no—
1390#123—1061no—
1391#123—1061no—
1392#123—1061no—
1393#123—1061no—
1394#123—1061no—
1395C22⋊Q8—21no—
1396C22⋊Q8—531no—
1397C22⋊Q8—531no—
1398C22⋊Q8—531no—
1399C22⋊Q8—531no—
1400C22⋊Q8—531no—
1401C22⋊Q8—1061no—
1402C22⋊Q8—1061no—
1403C22⋊Q8—1061no—
1404C22⋊Q8—1061no—
1405C22⋊Q8—1061no—
1406C22⋊Q8—1061no—
1407C22⋊Q8—1061no—
1408C22⋊Q8C22×D5311yescharacteristic
1409C22⋊Q8C22×D5311yescharacteristic
1410C22⋊Q8C22×D5311yescharacteristic
1411#121—21no—
1412#121—21no—
1413#121—531no—
1414#121—531no—
1415#121—531no—
1416#121—531no—
1417#121—531no—
1418#121—531no—
1419#121—531no—
1420#121—1061no—
1421#121—1061no—
1422#121—1061no—
1423#121—1061no—
1424#121—1061no—
1425#121—1061no—
1426#121—1061no—
1427#121—1061no—
1428#121—1061no—
1429#121—1061no—
1430#121—1061no—
1431#121—1061no—
1432#121—1061no—
1433#121—1061no—
1434#121—1061no—
1435#121—1061no—
1436#121—1061no—
1437#121—1061no—
1438#121C22×D5311yescharacteristic
1439#120—1061no—
1440#120—1061no—
1441#120—1061no—
1442#120—1061no—
1443#120—1061no—
1444#120—1061no—
1445#120—1061no—
1446#120—1061no—
1447#120—1061no—
1448#120—1061no—
1449#120—1061no—
1450#120—1061no—
1451C4×Q8—531no—
1452C4×Q8—531no—
1453C4×Q8—531no—
1454C4×Q8C22×D5311yescharacteristic
1455C4×D4—21no—
1456C4×D4—531no—
1457C4×D4—531no—
1458C4×D4—531no—
1459C4×D4—531no—
1460C4×D4—531no—
1461C4×D4—531no—
1462C4×D4—531no—
1463C4×D4—531no—
1464C4×D4—531no—
1465C4×D4—531no—
1466C4×D4—1061no—
1467C4×D4—1061no—
1468C4×D4—1061no—
1469C4×D4—1061no—
1470C4×D4—1061no—
1471C4×D4—1061no—
1472C4×D4—1061no—
1473C4×D4—1061no—
1474C4×D4—1061no—
1475C4×D4—1061no—
1476C4×D4—1061no—
1477C4×D4—1061no—
1478C4×D4—1061no—
1479C4×D4—1061no—
1480C4×D4—1061no—
1481C4×D4—1061no—
1482C4×D4—1061no—
1483C4×D4—1061no—
1484C4×D4—1061no—
1485C4×D4—1061no—
1486C4×D4—1061no—
1487C4×D4—1061no—
1488C4×D4—1061no—
1489C4×D4C22×D5311yescharacteristic
1490C4×D4C22×D5311yescharacteristic
1491#117—531no—
1492#117—531no—
1493#117—1061no—
1494#117—1061no—
1495C2×C4⋊C4—21no—
1496C2×C4⋊C4—531no—
1497C2×C4⋊C4—1061no—
1498C2×C22⋊C4—531no—
1499C2×C22⋊C4—531no—
1500C2×C22⋊C4—1061no—
1501C2×C22⋊C4—1061no—
1502C2×C22⋊C4—1061no—
1503C2×C22⋊C4—1061no—
1504C2×C42—531no—
1505C2×C42—1061no—
1506C2×C42—1061no—
1507#107—531no—
1508#107C22×D5311yescharacteristic
1509#106—531no—
1510#106—531no—
1511C4⋊C8—531no—
1512C4⋊C8—531no—
1513C4⋊C8—531no—
1514C4⋊C8C22×D5311yescharacteristic
1515#103—531no—
1516#103—531no—
1517#103—531no—
1518#103—531no—
1519#103—531no—
1520#103—531no—
1521#103—531no—
1522#103—531no—
1523#103C22×D5311yescharacteristic
1524#103C22×D5311yescharacteristic
1525#103C22×D5311yescharacteristic
1526#103C22×D5311yescharacteristic
1527#102—531no—
1528#102—531no—
1529#102—531no—
1530#102—531no—
1531#102—531no—
1532#102—531no—
1533#102—531no—
1534#102—531no—
1535#102—531no—
1536#102—531no—
1537#102C22×D5311yescharacteristic
1538#102C22×D5311yescharacteristic
1539C22⋊C8—531no—
1540C22⋊C8—531no—
1541C22⋊C8—531no—
1542C22⋊C8—531no—
1543C22⋊C8—531no—
1544C22⋊C8—531no—
1545C22⋊C8C22×D5311yescharacteristic
1546C22⋊C8C22×D5311yescharacteristic
1547#97—531no—
1548#97—531no—
1549#97—531no—
1550#97C22×D5311yescharacteristic
1551C24—531no—
1552C24—531no—
1553C24—1061no—
1554C24—1061no—
1555C24—1061no—
1556C24—1061no—
1557#41—22no—
1558#41—22no—
1559#41—22no—
1560#41—41no—
1561#41—41no—
1562#41—41no—
1563#41—534no—
1564#41—534no—
1565#41—1062no—
1566#41—1062no—
1567#41—1062no—
1568#41—1062no—
1569#41—1062no—
1570#41—1062no—
1571#41—1062no—
1572#41—1062no—
1573#41—1062no—
1574#41—1062no—
1575#41—1062no—
1576#41—1062no—
1577#41—1062no—
1578#41—1062no—
1579#41—1062no—
1580#41—2121no—
1581#41—2121no—
1582#41—2121no—
1583#41—2124no—
1584#41—2124no—
1585#41—2124no—
1586#41—2124no—
1587#41—2124no—
1588#41—2124no—
1589#41—2124no—
1590#41—2121no—
1591#41—2121no—
1592#41—2124no—
1593C2×Q8—21no—
1594C2×Q8—22no—
1595C2×Q8—41no—
1596C2×Q8—531no—
1597C2×Q8—531no—
1598C2×Q8—1061no—
1599C2×Q8—1061no—
1600C2×Q8—1061no—
1601C2×Q8—1062no—
1602C2×Q8—1062no—
1603C2×Q8—1062no—
1604C2×Q8—2121no—
1605C2×Q8—2121no—
1606C2×Q8—2121no—
1607C2×Q8C23×D5311yescharacteristic
1608C2×Q8C23×D5311yescharacteristic
1609C2×Q8C23×D5311yescharacteristic
1610C2×Q8C23×D5311yescharacteristic
1611C2×D4—21no—
1612C2×D4—21no—
1613C2×D4—21no—
1614C2×D4—21no—
1615C2×D4—531no—
1616C2×D4—531no—
1617C2×D4—531no—
1618C2×D4—531no—
1619C2×D4—531no—
1620C2×D4—531no—
1621C2×D4—531no—
1622C2×D4—1062no—
1623C2×D4—1061no—
1624C2×D4—1061no—
1625C2×D4—1061no—
1626C2×D4—1061no—
1627C2×D4—1061no—
1628C2×D4—1061no—
1629C2×D4—1061no—
1630C2×D4—1061no—
1631C2×D4—1061no—
1632C2×D4—1061no—
1633C2×D4—1061no—
1634C2×D4—1061no—
1635C2×D4—1061no—
1636C2×D4—1061no—
1637C2×D4—1062no—
1638C2×D4—1061no—
1639C2×D4—1062no—
1640C2×D4—1062no—
1641C2×D4—1061no—
1642C2×D4—1061no—
1643C2×D4—1061no—
1644C2×D4—1061no—
1645C2×D4—1061no—
1646C2×D4—1061no—
1647C2×D4—1061no—
1648C2×D4—1061no—
1649C2×D4—1061no—
1650C2×D4—1061no—
1651C2×D4—1061no—
1652C2×D4—2121no—
1653C2×D4—2124no—
1654C2×D4—2124no—
1655C2×D4—2121no—
1656C2×D4—2121no—
1657C2×D4—2121no—
1658C2×D4—2122no—
1659C2×D4—2124no—
1660C2×D4—2124no—
1661C2×D4—2124no—
1662C2×D4—2124no—
1663C2×D4D4×D5311yescharacteristic
1664C2×D4C23×D5311yescharacteristic
1665C2×D4C23×D5311yescharacteristic
1666C22×C4—21no—
1667C22×C4—21no—
1668C22×C4—21no—
1669C22×C4—21no—
1670C22×C4—21no—
1671C22×C4—531no—
1672C22×C4—531no—
1673C22×C4—531no—
1674C22×C4—531no—
1675C22×C4—531no—
1676C22×C4—531no—
1677C22×C4—531no—
1678C22×C4—531no—
1679C22×C4—531no—
1680C22×C4—531no—
1681C22×C4—531no—
1682C22×C4—1061no—
1683C22×C4—1062no—
1684C22×C4—1062no—
1685C22×C4—1062no—
1686C22×C4—1062no—
1687C22×C4—1061no—
1688C22×C4—1061no—
1689C22×C4—1061no—
1690C22×C4—1061no—
1691C22×C4—1061no—
1692C22×C4—1061no—
1693C22×C4—1061no—
1694C22×C4—1061no—
1695C22×C4—1061no—
1696C22×C4—1061no—
1697C22×C4—1061no—
1698C22×C4—1061no—
1699C22×C4—1061no—
1700C22×C4—1061no—
1701C22×C4—1061no—
1702C22×C4—1061no—
1703C22×C4—2124no—
1704C22×C4—2124no—
1705C22×C4—2124no—
1706C22×C4—2124no—
1707C22×C4C23×D5311yescharacteristic
1708C22×C4C23×D5311yescharacteristic
1709Q16—22no—
1710Q16—22no—
1711Q16—22no—
1712Q16—41no—
1713Q16—534no—
1714Q16—1062no—
1715Q16—1062no—
1716Q16—1062no—
1717Q16—2121no—
1718SD16—22no—
1719SD16—22no—
1720SD16—41no—
1721SD16—534no—
1722SD16—1062no—
1723SD16—1062no—
1724SD16—1062no—
1725SD16—1062no—
1726SD16—1062no—
1727SD16—1062no—
1728SD16—1062no—
1729SD16—1062no—
1730SD16—1062no—
1731SD16—1062no—
1732SD16—2121no—
1733SD16—2121no—
1734SD16—2121no—
1735SD16D4×D5314yescomplemented
1736D8—22no—
1737D8—534no—
1738D8—1062no—
1739D8—1062no—
1740D8—1062no—
1741D8—1062no—
1742D8—1062no—
1743D8—2121no—
1744D8—2121no—
1745M16—22no—
1746M16—1062no—
1747M16—1062no—
1748M16—1062no—
1749C2×C8—22no—
1750C2×C8—531no—
1751C2×C8—534no—
1752C2×C8—531no—
1753C2×C8—531no—
1754C2×C8—531no—
1755C2×C8—1062no—
1756C2×C8—1062no—
1757C2×C8—1062no—
1758C2×C8—1062no—
1759C2×C8—1062no—
1760C2×C8—1062no—
1761C2×C8C23×D5311yescharacteristic
1762C2×C8C23×D5311yescharacteristic
1763C2×C8C23×D5311yescharacteristic
1764C2×C8C23×D5311yescharacteristic
1765C4⋊C4—21no—
1766C4⋊C4—21no—
1767C4⋊C4—21no—
1768C4⋊C4—21no—
1769C4⋊C4—21no—
1770C4⋊C4—21no—
1771C4⋊C4—531no—
1772C4⋊C4—531no—
1773C4⋊C4—531no—
1774C4⋊C4—531no—
1775C4⋊C4—531no—
1776C4⋊C4—1061no—
1777C4⋊C4—1061no—
1778C4⋊C4—1061no—
1779C4⋊C4—1061no—
1780C4⋊C4—1061no—
1781C4⋊C4—1061no—
1782C4⋊C4—1061no—
1783C4⋊C4—1061no—
1784C4⋊C4—1061no—
1785C4⋊C4—1061no—
1786C4⋊C4D4×D5311yescharacteristic
1787C4⋊C4C23×D5311yescharacteristic
1788C4⋊C4C23×D5311yescharacteristic
1789C22⋊C4—21no—
1790C22⋊C4—21no—
1791C22⋊C4—21no—
1792C22⋊C4—21no—
1793C22⋊C4—21no—
1794C22⋊C4—21no—
1795C22⋊C4—21no—
1796C22⋊C4—531no—
1797C22⋊C4—531no—
1798C22⋊C4—531no—
1799C22⋊C4—531no—
1800C22⋊C4—531no—
1801C22⋊C4—531no—
1802C22⋊C4—1061no—
1803C22⋊C4—1061no—
1804C22⋊C4—1061no—
1805C22⋊C4—1061no—
1806C22⋊C4—1061no—
1807C22⋊C4—1061no—
1808C22⋊C4—1061no—
1809C22⋊C4—1061no—
1810C22⋊C4—1061no—
1811C22⋊C4—1061no—
1812C22⋊C4—1061no—
1813C22⋊C4—1061no—
1814C22⋊C4—1061no—
1815C22⋊C4—1061no—
1816C22⋊C4—1061no—
1817C22⋊C4—1061no—
1818C22⋊C4—1061no—
1819C22⋊C4—1061no—
1820C22⋊C4—1061no—
1821C22⋊C4—1061no—
1822C22⋊C4—1061no—
1823C22⋊C4—1061no—
1824C22⋊C4—1061no—
1825C22⋊C4D4×D5311yescharacteristic
1826C22⋊C4D4×D5311yescharacteristic
1827C42—21no—
1828C42—531no—
1829C42—531no—
1830C42—531no—
1831C42—1061no—
1832C42—1061no—
1833C42—1061no—
1834C42—1061no—
1835C42—1061no—
1836C42C23×D5311yescharacteristic
1837C23—21no—
1838C23—21no—
1839C23—531no—
1840C23—531no—
1841C23—531no—
1842C23—1062no—
1843C23—1062no—
1844C23—1062no—
1845C23—1061no—
1846C23—1061no—
1847C23—1061no—
1848C23—1061no—
1849C23—4241no—
1850C23—4241no—
1851C23—4241no—
1852C23—4241no—
1853C23—2121no—
1854C23—2121no—
1855C23—2121no—
1856C23—2122no—
1857C23—2122no—
1858C23—2122no—
1859C23—2122no—
1860C23—2122no—
1861C23—2122no—
1862C23—2122no—
1863C23—2122no—
1864C23C2×D4×D5311yescharacteristic
1865C23C2×D4×D5311yescharacteristic
1866Q8—21no—
1867Q8—21no—
1868Q8—21no—
1869Q8—21no—
1870Q8—21no—
1871Q8—21no—
1872Q8—21no—
1873Q8—42no—
1874Q8—532no—
1875Q8—1061no—
1876Q8—1061no—
1877Q8—1061no—
1878Q8—2122no—
1879Q8—2122no—
1880Q8—2122no—
1881Q8C2×D4×D5312yes—
1882D4—21no—
1883D4—21no—
1884D4—21no—
1885D4—41no—
1886D4—42no—
1887D4—42no—
1888D4—42no—
1889D4—42no—
1890D4—532no—
1891D4—1062no—
1892D4—1064no—
1893D4—1062no—
1894D4—1064no—
1895D4—1061no—
1896D4—1061no—
1897D4—1061no—
1898D4—1061no—
1899D4—1061no—
1900D4—1061no—
1901D4—1061no—
1902D4—4241no—
1903D4—4241no—
1904D4—4241no—
1905D4—4241no—
1906D4—4241no—
1907D4—4241no—
1908D4—2122no—
1909D4—2122no—
1910D4—2122no—
1911D4—2122no—
1912D4—2122no—
1913D4—2122no—
1914D4—2122no—
1915D4—2122no—
1916D4—2122no—
1917D4—2122no—
1918D4—2121no—
1919D4—2122no—
1920D4—2122no—
1921D4—2122no—
1922D4—2122no—
1923D4—2122no—
1924D4—2122no—
1925D4—2122no—
1926D4—2122no—
1927D4C2×D4×D5312yes—
1928C2×C4—21no—
1929C2×C4—21no—
1930C2×C4—21no—
1931C2×C4—21no—
1932C2×C4—21no—
1933C2×C4—21no—
1934C2×C4—21no—
1935C2×C4—21no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—42no—
1939C2×C4—42no—
1940C2×C4—42no—
1941C2×C4—42no—
1942C2×C4—42no—
1943C2×C4—531no—
1944C2×C4—532no—
1945C2×C4—532no—
1946C2×C4—531no—
1947C2×C4—531no—
1948C2×C4—531no—
1949C2×C4—531no—
1950C2×C4—1062no—
1951C2×C4—1062no—
1952C2×C4—1064no—
1953C2×C4—1062no—
1954C2×C4—1062no—
1955C2×C4—1062no—
1956C2×C4—1062no—
1957C2×C4—1064no—
1958C2×C4—1061no—
1959C2×C4—1061no—
1960C2×C4—1061no—
1961C2×C4—1061no—
1962C2×C4—1061no—
1963C2×C4—1061no—
1964C2×C4—1061no—
1965C2×C4—1061no—
1966C2×C4—4241no—
1967C2×C4—4241no—
1968C2×C4—2121no—
1969C2×C4—2121no—
1970C2×C4—2122no—
1971C2×C4—2122no—
1972C2×C4—2122no—
1973C2×C4—2122no—
1974C2×C4—2122no—
1975C2×C4—2122no—
1976C2×C4—2122no—
1977C2×C4—2122no—
1978C2×C4—2122no—
1979C2×C4—2122no—
1980C2×C4—2122no—
1981C2×C4—2122no—
1982C2×C4—2122no—
1983C2×C4C2×D4×D5311yescharacteristic
1984C2×C4C2×D4×D5311yescharacteristic
1985C2×C4C2×D4×D5311yescharacteristic
1986C2×C4C2×D4×D5311yescharacteristic
1987C2×C4C24×D5311yescharacteristic
1988C8—21no—
1989C8—21no—
1990C8—21no—
1991C8—532no—
1992C8—1061no—
1993C8—1061no—
1994C8—1061no—
1995C8C2×D4×D5312yes—
1996C22—21no—
1997C22—21no—
1998C22—22no—
1999C22—21no—
2000C22—21no—
2001C22—21no—
2002C22—21no—
2003C22—41no—
2004C22—41no—
2005C22—41no—
2006C22—41no—
2007C22—41no—
2008C22—532no—
2009C22—532no—
2010C22—1061no—
2011C22—1061no—
2012C22—1061no—
2013C22—1061no—
2014C22—1061no—
2015C22—1062no—
2016C22—1061no—
2017C22—1061no—
2018C22—4244no—
2019C22—4242no—
2020C22—4244no—
2021C22—4244no—
2022C22—4244no—
2023C22—2124no—
2024C22—2121no—
2025C22—2121no—
2026C22—2121no—
2027C22—2121no—
2028C22—2121no—
2029C22—2121no—
2030C22—2121no—
2031C22—2121no—
2032C22—2121no—
2033C22—2121no—
2034C22—2121no—
2035C22C22×D4×D5311yescharacteristic
2036C4—21no—
2037C4—21no—
2038C4—22no—
2039C4—21no—
2040C4—21no—
2041C4—41no—
2042C4—41no—
2043C4—41no—
2044C4—41no—
2045C4—41no—
2046C4—532no—
2047C4—1061no—
2048C4—1061no—
2049C4—1062no—
2050C4—1061no—
2051C4—1061no—
2052C4—2121no—
2053C4—2121no—
2054C4—2121no—
2055C4C22×D4×D5311yescharacteristic
2056C4H(5,𝔽2)×D5311yescharacteristic
2057C2—41no—
2058C2—41no—
2059C2—42no—
2060C2—81no—
2061C2—1062no—
2062C2—1062no—
2063C2—4241no—
2064C2—4241no—
2065C2—4241no—
2066C2—2121no—
2067C2—2122no—
2068C2D42×D5311yescharacteristic
2069C2#575×D5311yescharacteristic
2070C2#2028948511yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3269C2
socleC22×C53C23×D4
hypercenter#3269D53
hypocenterC53#61030
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3269

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#16811422C2semidirect
2. C2×#135×D53C2semidirect
3. #20288204C2semidirect
4. #20288202C2semidirect
5. #20286304C2semidirect
6. #20286301C2semidirect
7. #20286291C2semidirect
8. #20286288C2semidirect
9. #20286267C2semidirect
10. #20286260C2semidirect
11. #20286255C2semidirect
12. #20286244C2semidirect
13. #20286241C2semidirect
14. #20286224C2semidirect
15. #20286219C2semidirect
16. #20286217C2semidirect
17. #20286212C2semidirect
18. #20286201C2semidirect
19. #20286198C2semidirect
20. #20285159C2semidirect
21. #20284319C2semidirect
22. #20284298C2semidirect
23. #20284173C2semidirect
24. #20284167C2semidirect
25. #20283938C2semidirect
26. #20283936C2semidirect
27. #20283936C2semidirect
28. #20283930C2semidirect
29. #20283510C2semidirect
30. #435×D53C2semidirect
31. C53×#3269C2semidirect
32. C22×#11719949C22semidirect
33. C2×#41×D53C22semidirect
34. C2×#41×D53C22semidirect
35. C2×#41×D53C22semidirect
37. C2×#13133249C22semidirect
38. C2×#13133249C22semidirect
39. C2×#13133248C22semidirect
40. C2×#13133245C22semidirect
41. C2×#13133244C22semidirect
42. C2×#13133244C22semidirect
43. C2×#13133242C22semidirect
44. C2×#13133240C22semidirect
45. C2×#13133240C22semidirect
46. C2×#13133240C22semidirect
47. C2×#13133240C22semidirect
48. C2×#13133239C22semidirect
50. C2×#13133238C22semidirect
51. C2×#13133238C22semidirect
52. C2×#13133238C22semidirect
53. C2×#13133237C22semidirect
54. C2×#13133237C22semidirect
55. C2×#13133236C22semidirect
57. C2×Q16×D53C22semidirect
58. C2×SD16×D53C22semidirect
59. C2×SD16×D53C22semidirect
60. C2×D8×D53C22semidirect
61. C2×M16×D53C22semidirect
62. C22×C8×D53C22semidirect
63. #16811294C22semidirect
64. #16811292C22semidirect
65. #16811288C22semidirect
66. Q8×C22⋊D53C22semidirect
69. #16811283C22semidirect
71. #16811275C22semidirect
74. #16811269C22semidirect
80. #16811261C22semidirect
81. D4×D212C22semidirect
84. #16811257C22semidirect
85. #16811174C22semidirect
87. #16811172C22semidirect
90. #16811136C22semidirect
91. #16811136C22semidirect
92. #16811136C22semidirect
94. #16811133C22semidirect
97. C4×#11719949C22semidirect
98. C4×#11719947C22semidirect
102. #16811016C22semidirect
103. #16811016C22semidirect
104. #16811015C22semidirect
105. #16811013C22semidirect
106. #16811012C22semidirect
107. #16811009C22semidirect
108. #16811009C22semidirect
109. #16810880C22semidirect
110. #16810879C22semidirect
111. #16810875C22semidirect
112. #16810874C22semidirect
113. #16810870C22semidirect
114. #16810869C22semidirect
115. #16810866C22semidirect
116. #16810861C22semidirect
117. #16810860C22semidirect
118. #16810859C22semidirect
119. #16810855C22semidirect
120. #16810855C22semidirect
121. #16810854C22semidirect
122. #16810854C22semidirect
123. #16810847C22semidirect
124. #16810847C22semidirect
125. #16810846C22semidirect
126. #16810842C22semidirect
127. #16810841C22semidirect
128. #16810841C22semidirect
129. #16810838C22semidirect
130. #16810832C22semidirect
131. #16810826C22semidirect
132. #16810825C22semidirect
133. #16810823C22semidirect
134. #16810822C22semidirect
135. #16810819C22semidirect
136. #16810816C22semidirect
137. #16810787C22semidirect
138. #16810785C22semidirect
139. #16810784C22semidirect
140. #16810784C22semidirect
141. #16810783C22semidirect
142. #16810783C22semidirect
143. #16810780C22semidirect
144. #16810777C22semidirect
145. #16810777C22semidirect
146. #16810775C22semidirect
147. #16810773C22semidirect
148. #16810772C22semidirect
149. #16810772C22semidirect
150. #16810771C22semidirect
151. #16810771C22semidirect
152. #16810770C22semidirect
153. #16810770C22semidirect
154. #16810768C22semidirect
155. #16810768C22semidirect
156. #16810766C22semidirect
157. #16810763C22semidirect
158. #16810763C22semidirect
159. #16810762C22semidirect
160. #16810760C22semidirect
161. #16810759C22semidirect
162. #16810758C22semidirect
163. #16810758C22semidirect
164. #16810755C22semidirect
165. #16810733C22semidirect
166. #16810732C22semidirect
167. #16810728C22semidirect
168. #16810727C22semidirect
169. #16810725C22semidirect
170. #16810724C22semidirect
171. #16810722C22semidirect
172. #16810697C22semidirect
173. #16810696C22semidirect
174. #16810695C22semidirect
175. #16810694C22semidirect
176. #16810693C22semidirect
177. #16810692C22semidirect
178. #16810691C22semidirect
179. #16810660C22semidirect
180. C4⋊C8×D53C22semidirect
181. #16810618C22semidirect
182. #16810618C22semidirect
183. #16810618C22semidirect
184. #16810618C22semidirect
185. #16810616C22semidirect
186. #16810616C22semidirect
187. C22⋊C8×D53C22semidirect
188. C22⋊C8×D53C22semidirect
189. #97×D53C22semidirect
190. C2×#137×C53C22semidirect
191. C2×#135×C53C22semidirect
192. C53×#548C22semidirect
193. C53×#547C22semidirect
194. C53×#497C22semidirect
195. C53×#468C22semidirect
196. C53×#467C22semidirect
197. C53×#463C22semidirect
198. C53×#462C22semidirect
199. C53×#452C22semidirect
200. C53×#452C22semidirect
201. C53×#451C22semidirect
202. C53×#449C22semidirect
203. C53×#440C22semidirect
204. C53×#435C22semidirect
267. #13133238D4semidirect
582. #11719949C2×D4semidirect
595. #11719947C2×D4semidirect
680. SD16×C53C2×D4semidirect
716. #11719925C2×D4semidirect
730. #11719922C2×D4semidirect
792. #11719913C2×D4semidirect
800. C8×D53C2×D4semidirect
1000. C2×D53#575semidirect
1031. #3269D53semidirect
1075. C2×#137C2×D53semidirect
1093. C2×#135C2×D53semidirect
1107. #548C2×D53semidirect
1111. #547C2×D53semidirect
1144. #497C2×D53semidirect
1156. #468C2×D53semidirect
1158. #467C2×D53semidirect
1172. #463C2×D53semidirect
1174. #462C2×D53semidirect
1187. #452C2×D53semidirect
1188. #452C2×D53semidirect
1192. #451C2×D53semidirect
1204. #449C2×D53semidirect
1220. #440C2×D53semidirect
1228. #435C2×D53semidirect
1240. C53#61030semidirect
1735. SD16D4×D53semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#168114222
C2×#135×D532
#202882042
#202882022
#202863042
#202863012
#202862912
#202862882
#202862672
#202862602
#202862552
#202862442
#202862412
#202862242
#202862192
#202862172
#202862122
#202862012
#202861982
#202851592
#202843192
#202842982
#202841732
#202841672
#202839382
#202839362
#202839302
#202835102
#435×D532
C53×#32692
#6103053