Finite Group Databasebeta

← #28293281

Subgroups — #28293281

Order 13568.

7310 conjugacy classes of subgroups.

The subgroup lattice has 1524 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288821C214yesmaximal, complemented
2#20288743C214yesmaximal, complemented
3#20288740C218yesmaximal, complemented
4#20288714C214yesmaximal, complemented
5#20288660C214yesmaximal, complemented
6#20288646C218yesmaximal, complemented
7#20288638C212yesmaximal, complemented
8#20288591C211yesmaximal, characteristic, complemented
9#20288587C212yesmaximal, complemented
10#20288539C211yesmaximal, characteristic, complemented
11#20288488C211yesmaximal, characteristic, complemented
12#20288451C212yesmaximal, complemented
13#20288438C214yesmaximal, complemented
14#20288379C212yesmaximal, complemented
15#20288136C214yesmaximal, complemented
16#20288132C212yesmaximal, complemented
17#20288106C212yesmaximal, complemented
18#20288104C211yesmaximal, characteristic, complemented
19C2×#16811229C211yesmaximal, characteristic, complemented
20#540×D53C212yesmaximal, complemented
21#20287921C212yesmaximal, complemented
22#20287914C211yesmaximal, characteristic, complemented
23C53×#3512C211yesmaximal, characteristic, complemented
24C2×#13133263C2212yes—
25C2×#41×D53C2211yescharacteristic
26#16811358C2214yescomplemented
27#16811357C2218yescomplemented
28#16811350C2214yescomplemented
29#16811336C2218yescomplemented
30#16811336C2214yescomplemented
31#16811329C2214yescomplemented
32#16811328C2218yescomplemented
33#16811326C2218yescomplemented
34#16811324C2218yescomplemented
35#16811324C2218yescomplemented
36#16811324C2218yescomplemented
37#16811322C2218yescomplemented
38#16811321C2214yescomplemented
39#16811317C2214yescomplemented
40#16811305C2218yescomplemented
41#16811302C2218yescomplemented
42#16811298C2218yescomplemented
43#16811297C2218yescomplemented
44#16811294C2214yescomplemented
45#16811294C2214yescomplemented
46#16811291C2218yescomplemented
47#16811291C2214yescomplemented
48#16811283C2214yescomplemented
49#16811274C2214yescomplemented
50#16811271C2218yescomplemented
51#16811269C2218yescomplemented
52#16811269C2218yescomplemented
53#16811268C2218yescomplemented
54#16811265C2218yescomplemented
55#16811265C2218yescomplemented
56#16811264C2214yescomplemented
57#16811262C2218yescomplemented
58#16811262C2218yescomplemented
59D4×D212C2214yescomplemented
60#16811257C2218yescomplemented
61#16811257C2214yescomplemented
62#16811257C2218yescomplemented
63#16811254C2212yescomplemented
64#16811253C2214yescomplemented
65#16811246C2214yescomplemented
66#16811246C2214yescomplemented
67#16811245C2214yescomplemented
68#16811242C2212yescomplemented
69#16811242C2212yescomplemented
70#16811239C2218yescomplemented
71#16811234C2211yescharacteristic, complemented
72#16811234C2211yescharacteristic, complemented
73#16811229C2214yescomplemented
74#16811229C2212yescomplemented
75#16811229C2212yescomplemented
76#16811229C2212yescomplemented
77#16811229C2214yescomplemented
78#16811229C2212yescomplemented
79#16811228C2212yescomplemented
80#16811228C2212yescomplemented
81#16811227C2211yescharacteristic, complemented
82#16811227C2211yescharacteristic, complemented
83#16811226C2214yescomplemented
84#16811226C2214yescomplemented
85#16811225C2218yescomplemented
86#16811225C2218yescomplemented
87#16811224C2214yescomplemented
88#16811223C2218yescomplemented
89#16811221C2218yescomplemented
90#16811218C2214yescomplemented
91#16811212C2218yescomplemented
92#16811212C2218yescomplemented
93#16811210C2214yescomplemented
94#16811210C2218yescomplemented
95#16811209C2218yescomplemented
96#16811203C2214yescomplemented
97#16811191C2214yescomplemented
98#16811189C2214yescomplemented
99#16811187C2212yescomplemented
100#16811187C2212yescomplemented
101#16811180C2211yescharacteristic, complemented
102#16811179C2212yescomplemented
103#16811174C2212yescomplemented
104#16811173C2214yescomplemented
105#16811170C2214yescomplemented
106#16811170C2218yescomplemented
107#16811168C2214yescomplemented
108#16811168C2214yescomplemented
109C2×#13133214C2211yescharacteristic, complemented
110#127×D53C2212yescomplemented
111#16811160C2214yescomplemented
112#16811159C2214yescomplemented
113#16811159C2214yescomplemented
114#16811158C2218yescomplemented
115#16811156C2218yescomplemented
116#16811153C2214yescomplemented
117#16811153C2214yescomplemented
118#16811151C2218yescomplemented
119#125×D53C2212yescomplemented
120#16811136C2214yescomplemented
121#16811135C2218yescomplemented
122#16811133C2218yescomplemented
123#16811132C2218yescomplemented
124#16811130C2212yescomplemented
125C2×#13133202C2214yescomplemented
126#123×D53C2218yescomplemented
127C2×#13133192C2212yescomplemented
128C2×#13133192C2214yescomplemented
129#121×D53C2214yescomplemented
130#121×D53C2218yescomplemented
131#16811105C2214yescomplemented
132#16811105C2212yescomplemented
133#16811104C2212yes—
134#16811104C2214yescomplemented
135#16811102C2214yescomplemented
136#16811102C2212yescomplemented
137#16811099C2212yescomplemented
138#16811097C2212yescomplemented
139#16811097C2214yescomplemented
140#16811095C2214yescomplemented
141#16811095C2218yescomplemented
142#16811095C2214yescomplemented
143#16811095C2212yescomplemented
144#41×Dic53C2212yescomplemented
145#41×Dic53C2211yescharacteristic, complemented
146C4×#11719949C2214yescomplemented
147C4×#11719945C2211yescharacteristic
148C4×#11719945C2212yescomplemented
149#16811091C2211yescharacteristic
150#16811091C2214yescomplemented
151#16811091C2212yescomplemented
152C2×#13133179C2212yescomplemented
153C2×#13133179C2214yescomplemented
154C4×D4×D53C2214yescomplemented
155C4×D4×D53C2218yescomplemented
156C2×#13133174C2211yescharacteristic, complemented
157C2×#13133174C2212yescomplemented
158#117×D53C2212yescomplemented
159#117×D53C2211yescharacteristic, complemented
160C53×#553C2218yescomplemented
161C53×#553C2214yescomplemented
162C53×#552C2214yescomplemented
163C53×#541C2212yescomplemented
164C53×#540C2212yescomplemented
165C53×#537C2212yescomplemented
166C53×#532C2211yescharacteristic, complemented
167C53×#529C2214yescomplemented
168C2×#125×C53C2211yescharacteristic, complemented
169C53×#520C2212yescomplemented
170C4×#41×C53C2211yescharacteristic, complemented
171#13133263—216no—
172C2×#11719949C2311yescharacteristic
173C2×#11719949C2314yes—
174C2×#11719945C2314yes—
175C2×#11719945C2312yes—
176C2×#11719945C2318yes—
177C2×#11719945C2318yes—
178C2×#11719945C2311yescharacteristic
179C2×#11719947C2311yescharacteristic
180C2×#11719947C2312yes—
181C2×#11719947C2318yes—
182#41×D53—28no—
183C2×Q8×D53C2311yescharacteristic
184C22×D212C2314yes—
185C22×D212C2312yes—
186C22×D212C2314yes—
187C22×D212C2314yes—
188C2×D4×D53C2314yes—
189C2×D4×D53C2318yes—
190C2×D4×D53C2311yescharacteristic
191C2×D4×D53C2312yes—
192C2×D4×D53C2318yes—
193C2×D4×D53C2318yes—
194C22×C4×D53C2312yes—
195C22×C4×D53C2311yescharacteristic
196C22×C4×D53C2318yes—
197C22×C4×D53C2314yes—
198#13133217C2312yes—
199#13133216C2318yes—
200#13133216C2314yes—
201#13133216C2314yes—
202#13133214C2314yes—
203#13133214C2312yes—
204#13133214C2312yes—
205#13133213C2318yes—
206#13133213C2314yes—
207#13133213C2318yes—
208#13133213C2314yes—
209#13133212C2318yes—
210#13133212C2318yes—
211#13133212C2314yes—
212#13133212C2318yes—
213#13133212C2314yes—
214#13133211C2318yes—
215#13133210C2314yes—
216#13133210C2314yes—
217#13133209C2311yescharacteristic
218#13133209C2311yescharacteristic
219#13133208C2314yes—
220#13133208C2314yes—
221#13133207C2314yes—
222#13133207C2318yes—
223#13133207C2318yes—
224#13133207C2314yes—
225#13133206C2314yes—
226#13133206C2314yes—
227#13133205C2318yes—
228#13133205C2318yes—
229#13133203C2314yes—
230#13133203C2318yes—
231#13133203C2318yes—
232#13133203C2318yes—
233#13133203C2314yes—
234#13133203C2318yes—
235#13133202C2318yes—
236#13133202C2318yes—
237#13133202C2318yes—
238#13133202C2318yes—
239#13133202C2318yes—
240#13133202C2318yes—
241#13133202C2318yes—
242#13133202C2318yes—
243#13133202C2318yes—
244#13133201C2314yes—
245#13133201C2318yes—
246#13133201C2318yes—
247#13133201C2314yes—
248#13133200C2318yes—
249#13133199C2318yes—
250#13133199C2318yes—
251#13133199C2318yes—
252#13133198C2314yes—
253#13133198C2314yes—
254#13133198C2314yes—
255#13133197C2318yes—
256#13133197C2318yes—
257#13133196C2314yes—
258#13133196C2318yes—
259#13133195C2318yes—
260#13133195C2318yes—
261#13133195C2318yes—
262#13133195C2318yes—
263#13133194C2314yes—
264#13133194C2314yes—
265#13133193C2312yes—
266#13133193C2312yes—
267#13133192C2314yes—
268#13133192C2318yes—
269#13133192C2318yes—
270#13133192C2318yes—
271#13133192C2314yes—
272#13133192C2318yes—
273#13133192C2314yes—
274#13133192C2318yes—
275#13133192C2318yes—
276#13133192C2314yes—
277#13133191C2318yes—
278#13133191C2318yes—
279#13133191C2314yes—
280#13133191C2314yes—
281#13133191C2314yes—
282#13133191C2314yes—
283#13133190C2318yes—
284#13133190C2318yes—
285#13133190C2318yes—
286#13133190C2318yes—
287#13133190C2318yes—
288#13133190C2318yes—
289#13133190C2318yes—
290#13133190C2318yes—
291#13133190C2318yes—
292#13133189C2314yes—
293#13133189C2318yes—
294#13133189C2318yes—
295#13133189C2314yes—
296#13133189C2318yes—
297#13133188C2312yes—
298#13133188C2318yes—
299#13133188C2312yes—
300#13133187C2318yes—
301#13133187C2318yes—
302#13133187C2318yes—
303#13133187C2318yes—
304#13133185C2314yes—
305#13133185C2318yes—
306#13133185C2318yes—
307#13133185C2318yes—
308Q8×Dic53C2312yes—
309Q8×Dic53C2312yes—
310Q8×Dic53C2312yes—
311C4×Dic106C2312yes—
312C4×Dic106C2314yes—
313C4×Dic106C2314yes—
314#13133182C2314yes—
315#13133182C2318yes—
316#13133182C2314yes—
317#13133182C2312yes—
318C4×D212C2318yes—
319C4×D212C2318yes—
320C4×D212C2318yes—
321C4×D212C2312yes—
322C4×D212C2314yes—
323C4×D212C2314yes—
324C4×D212C2318yes—
325C4×D212C2314yes—
326D4×Dic53C2314yes—
327D4×Dic53C2312yes—
328D4×Dic53C2314yes—
329D4×Dic53C2312yes—
330D4×Dic53C2314yes—
331D4×Dic53C2312yes—
332#13133179C2314yes—
333#13133179C2314yes—
334#13133179C2318yes—
335#13133179C2314yes—
336#13133179C2318yes—
337#13133179C2318yes—
338#13133179C2314yes—
339#13133179C2318yes—
340#13133179C2314yes—
341#13133179C2312yes—
342#13133179C2314yes—
343#13133179C2314yes—
344#13133179C2314yes—
345C4×C22⋊D53C2314yes—
346C4×C22⋊D53C2314yes—
347C4×C22⋊D53C2318yes—
348C4×C22⋊D53C2318yes—
349C4×C22⋊D53C2318yes—
350C4×C22⋊D53C2314yes—
351C4×C22⋊D53C2318yes—
352C4×C22⋊D53C2314yes—
353C4×C22⋊D53C2314yes—
354#13133177C2318yes—
355#13133177C2318yes—
356#13133177C2318yes—
357#13133177C2318yes—
358#13133177C2314yes—
359#13133177C2314yes—
360#13133177C2314yes—
361#13133177C2318yes—
362#13133176C2311yescharacteristic
363#13133176C2312yes—
364#13133176C2312yes—
365#13133176C2314yes—
366#13133175C2318yes—
367#13133175C2312yes—
368#13133175C2314yes—
369#13133175C2314yes—
370#13133175C2318yes—
371#13133174C2314yes—
372#13133174C2318yes—
373#13133174C2318yes—
374#13133174C2314yes—
375#13133174C2312yes—
376#13133174C2311yescharacteristic
377#13133174C2311yescharacteristic
378#13133174C2312yes—
379#13133174C2311yescharacteristic
380#13133174C2312yes—
381#13133174C2311yescharacteristic
382#13133174C2312yes—
383#13133174C2312yes—
384#13133173C2312yes—
385#13133173C2314yes—
386C2×#11719919C2314yes—
387C2×#11719919C2312yes—
388C4⋊C4×D53C2318yes—
389C4⋊C4×D53C2312yes—
390C4⋊C4×D53C2318yes—
391C4⋊C4×D53C2314yes—
392C4⋊C4×D53C2314yes—
393C2×#11719921C2314yes—
394C2×#11719921C2318yes—
395C2×#11719921C2314yes—
396C2×#11719921C2312yes—
397C2×#11719921C2314yes—
398C22⋊C4×D53C2318yes—
399C22⋊C4×D53C2318yes—
400C22⋊C4×D53C2312yes—
401C22⋊C4×D53C2318yes—
402C22⋊C4×D53C2314yes—
403C22⋊C4×D53C2318yes—
404C2×C4×Dic53C2311yescharacteristic
405C2×C4×Dic53C2312yes—
406C2×C4×Dic53C2314yes—
407C42×D53C2312yes—
408C42×D53C2312yes—
409C42×D53C2312yes—
410C42×D53C2318yes—
411C2×#41×C53C2311yescharacteristic
412C2×#41×C53C2312yes—
413C4⋊Q8×C53C2311yescharacteristic
414#127×C53C2311yescharacteristic
415#126×C53C2318yes—
416#126×C53C2318yes—
417#125×C53C2318yes—
418#125×C53C2312yes—
419#125×C53C2312yes—
420#125×C53C2314yes—
421#124×C53C2312yes—
422#123×C53C2318yes—
423#123×C53C2318yes—
424C22⋊Q8×C53C2314yes—
425C22⋊Q8×C53C2314yes—
426#121×C53C2314yes—
427#121×C53C2318yes—
428#121×C53C2314yes—
429#121×C53C2314yes—
430#121×C53C2318yes—
431C4×Q8×C53C2312yes—
432C4×Q8×C53C2314yes—
433C4×D4×C53C2318yes—
434C4×D4×C53C2314yes—
435C4×D4×C53C2318yes—
436C4×D4×C53C2312yes—
437C4×D4×C53C2314yes—
438C4×D4×C53C2314yes—
439#117×C53C2311yescharacteristic
440#117×C53C2312yes—
441#117×C53C2318yes—
442#117×C53C2314yes—
443C2×C4⋊C4×C53C2314yes—
444C2×C4⋊C4×C53C2312yes—
445C2×C4⋊C4×C53C2314yes—
446C2×C42×C53C2311yescharacteristic
447C2×C42×C53C2312yes—
448C23×D53C2418yes—
449C23×D53C2411yescharacteristic
450C23×D53C2414yes—
451C23×D53C2412yes—
452#41×C53—24no—
453#41×C53—28no—
454C2×Q8×C53C2411yescharacteristic
455C2×Q8×C53C2412yes—
456C2×D4×C53C2412yes—
457C2×D4×C53C2414yes—
458C2×D4×C53C2411yescharacteristic
459C2×D4×C53C2412yes—
460C2×D4×C53C2418yes—
461C2×D4×C53C2414yes—
462C22×C4×C53C2412yes—
463C22×C4×C53C2414yes—
464C22×C4×C53C2412yes—
465C22×C4×C53C2414yes—
466C22×C4×C53C2414yes—
467C22×C4×C53C2418yes—
468C22×C4×C53C2411yescharacteristic
469C2×C22⋊D53C2412yes—
470C2×C22⋊D53C2418yes—
471C2×C22⋊D53C2412yes—
472C2×C22⋊D53C2418yes—
473C2×C22⋊D53C2418yes—
474C2×C22⋊D53C2418yes—
475C2×C22⋊D53C2414yes—
476C2×C22⋊D53C2418yes—
477C2×C22⋊D53C2414yes—
478C2×C22⋊D53C2412yes—
479C22×Dic53C2411yescharacteristic
480C22×Dic53C2412yes—
481C22×Dic53C2412yes—
482C22×Dic53C2414yes—
483C22×Dic53C2414yes—
484C22×Dic53C2414yes—
485#11719949—24no—
486#11719949—216no—
487Q8×D53—24no—
488#11719947—28no—
489#11719947—24no—
490#11719947—88no—
491D4×D53—28no—
492D4×D53—232no—
493D4×D53—24no—
494D4×D53—216no—
495D4×D53—88no—
496D4×D53—88no—
497#11719945—28no—
498#11719945—216no—
499#11719945—88no—
500#11719945—88no—
501#11719945#4118yescomplemented
502C2×D212—28no—
503C2×D212—216no—
504C2×D212—84no—
505C2×D212—84no—
506C2×D212C2414yes—
507C2×D212C2412yes—
508C2×D212C2418yes—
509C2×D212C2414yes—
510C2×D212C2418yes—
511C2×D212C2418yes—
512C2×D212C2418yes—
513C2×D212C2418yes—
514C2×D212C2411yescharacteristic
515C2×C4×D53—24no—
516C2×C4×D53—28no—
517C2×C4×D53—88no—
518C2×C4×D53—84no—
519C2×C4×D53C2411yescharacteristic
520C2×C4×D53C2418yes—
521C2×C4×D53C2412yes—
522C2×C4×D53C2411yescharacteristic
523C2×C4×D53C2411yescharacteristic
524C2×C4×D53C2411yescharacteristic
525C2×C4×D53C2412yes—
526C2×C4×D53C2414yes—
527C2×C4×D53C2418yes—
528C2×C4×D53C2414yes—
529C2×C4×D53C2414yes—
530C2×C4×D53C2418yes—
531C2×C4×D53C2418yes—
532C2×C4×D53C2418yes—
533C2×C4×D53C2418yes—
534C2×C4×D53C2412yes—
535C2×Dic106C2412yes—
536C2×Dic106C2418yes—
537C2×Dic106C2414yes—
538C2×Dic106C2411yescharacteristic
539C4⋊C4×C53C2412yes—
540C4⋊C4×C53C2414yes—
541C4⋊C4×C53C2418yes—
542C4⋊C4×C53C2414yes—
543C4⋊C4×C53C2418yes—
544C4⋊C4×C53C2418yes—
545C4⋊C4×C53C2414yes—
546C4⋊C4×C53C2418yes—
547C4⋊C4×C53C2414yes—
548C22⋊C4×C53C2414yes—
549C22⋊C4×C53C2412yes—
550C22⋊C4×C53C2414yes—
551C22⋊C4×C53C2418yes—
552C22⋊C4×C53C2418yes—
553C22⋊C4×C53C2414yes—
554C22⋊C4×C53C2418yes—
555C42×C53C2411yescharacteristic
556C42×C53C2412yes—
557C42×C53C2414yes—
558C42×C53C2411yescharacteristic
559C42×C53C2412yes—
560C42×C53C2418yes—
561C22⋊Dic53C2414yes—
562C22⋊Dic53C2414yes—
563C22⋊Dic53C2414yes—
564C22⋊Dic53C2414yes—
565C22⋊Dic53C2412yes—
566C22⋊Dic53C2414yes—
567C22⋊Dic53C2414yes—
568#11719921C2414yes—
569#11719921C2412yes—
570#11719921C2414yes—
571#11719921C2418yes—
572#11719921C2418yes—
573#11719921C2418yes—
574#11719921C2418yes—
575#11719921C2418yes—
576#11719921C2418yes—
577#11719921C2412yes—
578#11719921C2418yes—
579#11719921C2412yes—
580#11719921C2414yes—
581#11719921C2412yes—
582#11719921C2418yes—
583#11719921C2418yes—
584#11719921C2418yes—
585#11719921C2418yes—
586#11719921C2414yes—
587#11719921C2414yes—
588C4⋊Dic53C2412yes—
589C4⋊Dic53C2414yes—
590C4⋊Dic53C2412yes—
591C4⋊Dic53C2414yes—
592C4⋊Dic53C2418yes—
593C4⋊Dic53C2412yes—
594C4⋊Dic53C2414yes—
595C4⋊Dic53C2414yes—
596#11719919C2414yes—
597#11719919C2412yes—
598#11719919C2414yes—
599#11719919C2418yes—
600#11719919C2414yes—
601#11719919C2418yes—
602#11719919C2412yes—
603#11719919C2412yes—
604#11719919C2414yes—
605#11719919C2412yes—
606#11719919C2414yes—
607#11719919C2414yes—
608#11719919C2418yes—
609#11719919C2414yes—
610C4×Dic53C2414yes—
611C4×Dic53C2411yescharacteristic
612C4×Dic53C2412yes—
613C4×Dic53C2414yes—
614C4×Dic53C2414yes—
615C4×Dic53C2414yes—
616C4×Dic53C2418yes—
617C4×Dic53C2411yescharacteristic
618C4×Dic53C2412yes—
619C4×Dic53C2414yes—
620C4×Dic53C2414yes—
621C4×Dic53C2414yes—
622C23×C53C2512yes—
623C23×C53C2514yes—
624C23×C53C2511yescharacteristic
625C22×D53—22no—
626C22×D53—28no—
627C22×D53—24no—
628C22×D53—216no—
629C22×D53—44no—
630C22×D53—48no—
631C22×D53—42no—
632C22×D53—44no—
633C22×D53—48no—
634C22×D53—44no—
635C22×D53C2511yescharacteristic
636C22×D53C2518yes—
637C22×D53C2511yescharacteristic
638C22×D53C2512yes—
639Q8×C53—22no—
640Q8×C53—24no—
641D4×C53—28no—
642D4×C53—24no—
643D4×C53—24no—
644D4×C53—22no—
645D4×C53—44no—
646D4×C53—48no—
647C2×C4×C53—24no—
648C2×C4×C53—28no—
649C2×C4×C53—44no—
650C2×C4×C53—48no—
651C2×C4×C53—42no—
652C2×C4×C53—44no—
653C2×C4×C53C2×#4114yes—
654C2×C4×C53C2512yes—
655C2×C4×C53C2518yes—
656C2×C4×C53C2512yes—
657C2×C4×C53C2514yes—
658C2×C4×C53C2512yes—
659C2×C4×C53C2514yes—
660C2×C4×C53C2511yescharacteristic
661C2×C4×C53C2511yescharacteristic
662C22⋊D53—24no—
663C22⋊D53—216no—
664C22⋊D53—24no—
665C22⋊D53—44no—
666C22⋊D53—48no—
667C22⋊D53—48no—
668C22⋊D53—48no—
669C22⋊D53—44no—
670C22⋊D53—48no—
671C22⋊D53C2×#4118yes—
672C2×Dic53—22no—
673C2×Dic53—24no—
674C2×Dic53—44no—
675C2×Dic53—42no—
676C2×Dic53—44no—
677C2×Dic53—44no—
678C2×Dic53C2514yes—
679C2×Dic53C2514yes—
680C2×Dic53C2511yescharacteristic
681C2×Dic53C2514yes—
682C2×Dic53C2512yes—
683C2×Dic53C2512yes—
684C2×Dic53C2511yescharacteristic
685C2×Dic53C2512yes—
686D212—216no—
687D212—24no—
688D212—28no—
689D212—28no—
690D212—48no—
691D212—48no—
692D212—48no—
693D212—48no—
694D212C2×#4114yes—
695C4×D53—24no—
696C4×D53—22no—
697C4×D53—22no—
698C4×D53—22no—
699C4×D53—22no—
700C4×D53—24no—
701C4×D53—216no—
702C4×D53—48no—
703C4×D53—44no—
704C4×D53—48no—
705C4×D53—48no—
706C4×D53—48no—
707C4×D53—48no—
708C4×D53—44no—
709C4×D53—44no—
710C4×D53C2×#4118yes—
711Dic106—24no—
712Dic106—44no—
713Dic106—48no—
714Dic106C2×#4114yes—
715#62858—531nomaximal, Sylow
716C22×C53—22no—
717C22×C53—22no—
718C22×C53—24no—
719C22×C53—24no—
720C22×C53—24no—
721C22×C53—24no—
722C22×C53C22×#4112yes—
723C22×C53C2611yescharacteristic
724C2×D53—24no—
725C2×D53—21no—
726C2×D53—21no—
727C2×D53—28no—
728C2×D53—28no—
729C2×D53—22no—
730C2×D53—28no—
731C2×D53—22no—
732C2×D53—816no—
733C2×D53—84no—
734C2×D53—82no—
735C2×D53—88no—
736C2×D53C22×#4114yes—
737C4×C53—22no—
738C4×C53—24no—
739C4×C53—22no—
740C4×C53—28no—
741C4×C53—24no—
742C4×C53—22no—
743C4×C53C22×#4112yes—
744C4×C53C22×#4112yes—
745Dic53—21no—
746Dic53—21no—
747Dic53—24no—
748Dic53—24no—
749Dic53—24no—
750Dic53—22no—
751Dic53—22no—
752Dic53C22×#4114yes—
753#3524—534no—
754#3519—538no—
755#3519—534no—
756#3517—534no—
757#3513—538no—
758#3513—534no—
759#3512—532no—
760#3512D5311yescharacteristic, complemented
761#3508—532no—
762#3508—531no—
763#3504—531no—
764#3498—531no—
765#3494—534no—
766#3494—532no—
767#3488—532no—
768#3460—532no—
769#3460—534no—
770#3455—532no—
771#3455—531no—
772C2×#540—532no—
773C2×#540—531no—
774C4×H(5,𝔽2)—532no—
775#3428—531no—
776C2×C53—22no—
777C2×C53—44no—
778C2×C53—42no—
779C2×C53C23×#4111yescharacteristic
780C2×C53H(7,𝔽2)12yes—
781D53—24no—
782D53—41no—
783D53—48no—
784D53—41no—
785C2×H(5,𝔽2)—532no—
786C22×#41—531no—
787#559—538no—
788#559—534no—
789#557—534no—
790#555—534no—
791#555—538no—
792#554—534no—
793#554—538no—
794#553—538no—
795#553—538no—
796#553—538no—
797#553—538no—
798#553—538no—
799#553—534no—
800#553—534no—
801#553C2×D5318yescomplemented
802#553C2×D5314yescomplemented
803#552—538no—
804#552C2×D5314yescomplemented
805#551—538no—
806#551—538no—
807#551—538no—
808#550—534no—
809#550—538no—
810#550—534no—
811#550—534no—
812#548—534no—
813#547—538no—
814#547—534no—
815#546—538no—
816#546—538no—
817#546—534no—
818#546—538no—
819#546—538no—
820#546—538no—
821#546—538no—
822#546—538no—
823D42—538no—
824D42—534no—
825D42—538no—
826D42—534no—
827#544—534no—
828#544—532no—
829#542—538no—
830#542—532no—
831#542—532no—
832#542—534no—
833#542—534no—
834#542—534no—
835#541—531no—
836#541—531no—
837#541C2×D5312yescomplemented
838#540—531no—
839#540—531no—
840#540—532no—
841#540—532no—
842#540—532no—
843#540—532no—
844#540—534no—
845#540—534no—
846#540—538no—
847#540—538no—
848#540—534no—
849#540—538no—
850#540—534no—
851#540—534no—
852#540—532no—
853#540—532no—
854#540C2×D5312yescomplemented
855#539—538no—
856#539—534no—
857#538—538no—
858#538—538no—
859#538—538no—
860#538—534no—
861#538—538no—
862#537—534no—
863#537C2×D5312yescomplemented
864#535—532no—
865#535—532no—
866#535—534no—
867#535—534no—
868#533—532no—
869#533—531no—
870#532—532no—
871#532—534no—
872#532—534no—
873#532—534no—
874#532—538no—
875#532—534no—
876#532C2×D5311yescharacteristic, complemented
877C2×#127—532no—
878C2×#127—531no—
879#529—538no—
880#529—538no—
881#529—534no—
882#529—534no—
883#529—534no—
884#529—534no—
885#529—534no—
886#529—538no—
887#529C2×D5314yescomplemented
888C2×#125—532no—
889C2×#125C2×D5311yescharacteristic, complemented
890#525—532no—
891#525—534no—
892#525—538no—
893#525—538no—
894#525—538no—
895C2×#123—538no—
896C2×#123—534no—
897C2×#121—534no—
898C2×#121—538no—
899C2×#121—532no—
900C2×#121—534no—
901#520—532no—
902#520—534no—
903#520—534no—
904#520—532no—
905#520—532no—
906#520—534no—
907#520C2×D5312yescomplemented
908#519—532no—
909#518—534no—
910#518—532no—
911#518—534no—
912#518—538no—
913#518—532no—
914#518—534no—
915C4×#41—531no—
916C4×#41—532no—
917C4×#41—534no—
918C4×#41—531no—
919C4×#41—532no—
920C4×#41—534no—
921C4×#41—531no—
922C4×#41—532no—
923C4×#41C2×D5311yescharacteristic, complemented
924C2×C4×D4—534no—
925C2×C4×D4—538no—
926C2×C4×D4—532no—
927C2×C4×D4—534no—
928C2×#117—532no—
929C2×#117—531no—
930C2×#117—531no—
931C2×#117—532no—
932C53#6285811yescharacteristic, complemented, Sylow
933H(5,𝔽2)—10616no—
934C2×#41—534no—
935C2×#41—531no—
936C2×#41—532no—
937C2×#41—531no—
938C2×#41—538no—
939C2×#41—531no—
940C2×#41—532no—
941C2×#41—534no—
942C2×#41—538no—
943C2×#41—538no—
944C2×#41—1068no—
945C2×#41C22×D5311yescharacteristic
946C2×#41C22×D5312yes—
947C22×Q8—531no—
948C22×D4—534no—
949C22×D4—538no—
950C22×D4—532no—
951C22×D4—531no—
952C22×D4—538no—
953C22×D4—538no—
954C22×D4—532no—
955C22×D4—534no—
956C22×D4—534no—
957C22×D4—534no—
958C23×C4—532no—
959C23×C4—531no—
960C23×C4—534no—
961C23×C4—538no—
962C4⋊Q8—534no—
963C4⋊Q8—538no—
964C4⋊Q8—534no—
965C4⋊Q8—532no—
966C4⋊Q8C22×D5311yescharacteristic
967#127—534no—
968#127—538no—
969#127—538no—
970#127—534no—
971#127—532no—
972#127—532no—
973#127—534no—
974#127C22×D5311yescharacteristic
975#126—534no—
976#126—538no—
977#126—534no—
978#126—538no—
979#126—538no—
980#126—534no—
981#126—534no—
982#126—538no—
983#126C22×D5318yes—
984#126C22×D5318yes—
985#125—534no—
986#125—538no—
987#125—534no—
988#125—534no—
989#125—538no—
990#125—534no—
991#125—531no—
992#125—531no—
993#125C22×D5312yes—
994#125C22×D5312yes—
995#125C22×D5314yes—
996#125C22×D5318yes—
997#124—534no—
998#124—534no—
999#124—534no—
1000#124—538no—
1001#124—538no—
1002#124—534no—
1003#124—538no—
1004#124—538no—
1005#124—538no—
1006#124—538no—
1007#124C22×D5312yes—
1008#123—534no—
1009#123—534no—
1010#123—534no—
1011#123—538no—
1012#123—538no—
1013#123—538no—
1014#123—538no—
1015#123—538no—
1016#123—538no—
1017#123—538no—
1018#123—538no—
1019#123—538no—
1020#123—538no—
1021#123—538no—
1022#123—538no—
1023#123—538no—
1024#123—538no—
1025#123—534no—
1026#123—538no—
1027#123—534no—
1028#123C22×D5318yes—
1029#123C22×D5318yes—
1030C22⋊Q8—532no—
1031C22⋊Q8—532no—
1032C22⋊Q8—538no—
1033C22⋊Q8—534no—
1034C22⋊Q8—538no—
1035C22⋊Q8—538no—
1036C22⋊Q8—538no—
1037C22⋊Q8—538no—
1038C22⋊Q8—538no—
1039C22⋊Q8—538no—
1040C22⋊Q8—534no—
1041C22⋊Q8—534no—
1042C22⋊Q8C22×D5314yes—
1043C22⋊Q8C22×D5314yes—
1044#121—532no—
1045#121—534no—
1046#121—538no—
1047#121—538no—
1048#121—538no—
1049#121—532no—
1050#121—534no—
1051#121—538no—
1052#121—534no—
1053#121—538no—
1054#121—534no—
1055#121—534no—
1056#121—534no—
1057#121—538no—
1058#121—534no—
1059#121—538no—
1060#121—538no—
1061#121—534no—
1062#121—534no—
1063#121—538no—
1064#121—534no—
1065#121—538no—
1066#121—538no—
1067#121—538no—
1068#121—538no—
1069#121—538no—
1070#121—538no—
1071#121—538no—
1072#121—538no—
1073#121—538no—
1074#121—538no—
1075#121—538no—
1076#121—538no—
1077#121C22×D5314yes—
1078#121C22×D5318yes—
1079#121C22×D5318yes—
1080#121C22×D5314yes—
1081#121C22×D5314yes—
1082#120—538no—
1083#120—538no—
1084#120—538no—
1085#120—534no—
1086#120—538no—
1087#120—538no—
1088#120—538no—
1089#120—538no—
1090C4×Q8—532no—
1091C4×Q8—532no—
1092C4×Q8—532no—
1093C4×Q8—532no—
1094C4×Q8—534no—
1095C4×Q8—534no—
1096C4×Q8—538no—
1097C4×Q8—534no—
1098C4×Q8—532no—
1099C4×Q8—534no—
1100C4×Q8C22×D5314yes—
1101C4×Q8C22×D5312yes—
1102C4×D4—534no—
1103C4×D4—532no—
1104C4×D4—534no—
1105C4×D4—532no—
1106C4×D4—534no—
1107C4×D4—532no—
1108C4×D4—538no—
1109C4×D4—538no—
1110C4×D4—538no—
1111C4×D4—534no—
1112C4×D4—534no—
1113C4×D4—534no—
1114C4×D4—534no—
1115C4×D4—534no—
1116C4×D4—538no—
1117C4×D4—532no—
1118C4×D4—538no—
1119C4×D4—534no—
1120C4×D4—534no—
1121C4×D4—534no—
1122C4×D4—534no—
1123C4×D4—534no—
1124C4×D4—538no—
1125C4×D4—534no—
1126C4×D4—534no—
1127C4×D4—534no—
1128C4×D4—538no—
1129C4×D4—538no—
1130C4×D4—534no—
1131C4×D4—538no—
1132C4×D4—538no—
1133C4×D4—534no—
1134C4×D4—534no—
1135C4×D4—538no—
1136C4×D4—538no—
1137C4×D4—538no—
1138C4×D4—534no—
1139C4×D4—538no—
1140C4×D4—538no—
1141C4×D4—534no—
1142C4×D4—534no—
1143C4×D4—532no—
1144C4×D4—538no—
1145C4×D4—538no—
1146C4×D4C22×D5314yes—
1147C4×D4C22×D5318yes—
1148C4×D4C22×D5314yes—
1149C4×D4C22×D5312yes—
1150C4×D4C22×D5318yes—
1151C4×D4C22×D5314yes—
1152#117—531no—
1153#117—532no—
1154#117—532no—
1155#117—534no—
1156#117—534no—
1157#117—532no—
1158#117—534no—
1159#117—538no—
1160#117—538no—
1161#117—534no—
1162#117—532no—
1163#117—531no—
1164#117—531no—
1165#117—532no—
1166#117—532no—
1167#117—532no—
1168#117—531no—
1169#117—531no—
1170#117—532no—
1171#117—534no—
1172#117—532no—
1173#117—534no—
1174#117—538no—
1175#117—538no—
1176#117C22×D5311yescharacteristic
1177#117C22×D5312yes—
1178#117C22×D5314yes—
1179#117C22×D5318yes—
1180C2×C4⋊C4—532no—
1181C2×C4⋊C4—534no—
1182C2×C4⋊C4—534no—
1183C2×C4⋊C4—532no—
1184C2×C4⋊C4—534no—
1185C2×C4⋊C4—538no—
1186C2×C4⋊C4—538no—
1187C2×C4⋊C4C22×D5312yes—
1188C2×C4⋊C4C22×D5314yes—
1189C2×C4⋊C4C22×D5314yes—
1190C2×C22⋊C4—532no—
1191C2×C22⋊C4—534no—
1192C2×C22⋊C4—534no—
1193C2×C22⋊C4—538no—
1194C2×C22⋊C4—534no—
1195C2×C22⋊C4—534no—
1196C2×C22⋊C4—532no—
1197C2×C22⋊C4—538no—
1198C2×C22⋊C4—538no—
1199C2×C22⋊C4—538no—
1200C2×C22⋊C4—538no—
1201C2×C42—531no—
1202C2×C42—532no—
1203C2×C42—534no—
1204C2×C42—532no—
1205C2×C42—532no—
1206C2×C42—532no—
1207C2×C42—538no—
1208C2×C42C22×D5311yescharacteristic
1209C2×C42C22×D5312yes—
1210C24—532no—
1211C24—538no—
1212C24—531no—
1213C24—534no—
1214#41—24no—
1215#41—28no—
1216#41—538no—
1217#41—1068no—
1218#41—10616no—
1219#41—10616no—
1220#41—1068no—
1221#41—1064no—
1222#41—1064no—
1223#41—4248no—
1224#41—4248no—
1225#41—4248no—
1226C2×Q8—531no—
1227C2×Q8—532no—
1228C2×Q8—538no—
1229C2×Q8—534no—
1230C2×Q8—1064no—
1231C2×Q8C23×D5312yes—
1232C2×Q8C23×D5311yescharacteristic
1233C2×D4—532no—
1234C2×D4—532no—
1235C2×D4—538no—
1236C2×D4—532no—
1237C2×D4—538no—
1238C2×D4—534no—
1239C2×D4—538no—
1240C2×D4—538no—
1241C2×D4—534no—
1242C2×D4—538no—
1243C2×D4—531no—
1244C2×D4—532no—
1245C2×D4—538no—
1246C2×D4—534no—
1247C2×D4—534no—
1248C2×D4—538no—
1249C2×D4—538no—
1250C2×D4—538no—
1251C2×D4—538no—
1252C2×D4—10616no—
1253C2×D4—10616no—
1254C2×D4—1068no—
1255C2×D4—1064no—
1256C2×D4—10632no—
1257C2×D4—1068no—
1258C2×D4—4244no—
1259C2×D4—4244no—
1260C2×D4—4248no—
1261C2×D4—4248no—
1262C2×D4C23×D5312yes—
1263C2×D4C23×D5314yes—
1264C2×D4C23×D5312yes—
1265C2×D4C23×D5311yescharacteristic
1266C2×D4C23×D5318yes—
1267C2×D4C23×D5314yes—
1268C22×C4—532no—
1269C22×C4—531no—
1270C22×C4—532no—
1271C22×C4—532no—
1272C22×C4—534no—
1273C22×C4—534no—
1274C22×C4—534no—
1275C22×C4—531no—
1276C22×C4—538no—
1277C22×C4—532no—
1278C22×C4—531no—
1279C22×C4—532no—
1280C22×C4—531no—
1281C22×C4—531no—
1282C22×C4—534no—
1283C22×C4—538no—
1284C22×C4—534no—
1285C22×C4—534no—
1286C22×C4—538no—
1287C22×C4—538no—
1288C22×C4—538no—
1289C22×C4—538no—
1290C22×C4—1068no—
1291C22×C4—1064no—
1292C22×C4—4244no—
1293C22×C4—4248no—
1294C22×C4C23×D5312yes—
1295C22×C4C23×D5314yes—
1296C22×C4C23×D5312yes—
1297C22×C4C23×D5314yes—
1298C22×C4C23×D5314yes—
1299C22×C4C23×D5318yes—
1300C22×C4C23×D5311yescharacteristic
1301C4⋊C4—534no—
1302C4⋊C4—532no—
1303C4⋊C4—534no—
1304C4⋊C4—532no—
1305C4⋊C4—538no—
1306C4⋊C4—532no—
1307C4⋊C4—534no—
1308C4⋊C4—534no—
1309C4⋊C4—534no—
1310C4⋊C4—532no—
1311C4⋊C4—532no—
1312C4⋊C4—534no—
1313C4⋊C4—532no—
1314C4⋊C4—538no—
1315C4⋊C4—538no—
1316C4⋊C4—532no—
1317C4⋊C4—534no—
1318C4⋊C4—534no—
1319C4⋊C4—534no—
1320C4⋊C4—538no—
1321C4⋊C4—534no—
1322C4⋊C4—534no—
1323C4⋊C4C23×D5312yes—
1324C4⋊C4C23×D5314yes—
1325C4⋊C4C23×D5318yes—
1326C4⋊C4C23×D5318yes—
1327C4⋊C4C23×D5314yes—
1328C4⋊C4C23×D5314yes—
1329C4⋊C4C23×D5318yes—
1330C4⋊C4C23×D5318yes—
1331C4⋊C4C23×D5314yes—
1332C22⋊C4—534no—
1333C22⋊C4—534no—
1334C22⋊C4—534no—
1335C22⋊C4—534no—
1336C22⋊C4—532no—
1337C22⋊C4—534no—
1338C22⋊C4—534no—
1339C22⋊C4—534no—
1340C22⋊C4—532no—
1341C22⋊C4—532no—
1342C22⋊C4—534no—
1343C22⋊C4—538no—
1344C22⋊C4—538no—
1345C22⋊C4—538no—
1346C22⋊C4—538no—
1347C22⋊C4—538no—
1348C22⋊C4—538no—
1349C22⋊C4—534no—
1350C22⋊C4—532no—
1351C22⋊C4—532no—
1352C22⋊C4—538no—
1353C22⋊C4—538no—
1354C22⋊C4—538no—
1355C22⋊C4—534no—
1356C22⋊C4—538no—
1357C22⋊C4—538no—
1358C22⋊C4—534no—
1359C22⋊C4C23×D5312yes—
1360C22⋊C4C23×D5318yes—
1361C22⋊C4C23×D5314yes—
1362C22⋊C4C23×D5318yes—
1363C22⋊C4C23×D5314yes—
1364C22⋊C4C23×D5318yes—
1365C22⋊C4C23×D5314yes—
1366C42—534no—
1367C42—532no—
1368C42—531no—
1369C42—531no—
1370C42—532no—
1371C42—534no—
1372C42—534no—
1373C42—534no—
1374C42—534no—
1375C42—538no—
1376C42—534no—
1377C42—534no—
1378C42C23×D5312yes—
1379C42C23×D5311yescharacteristic
1380C42C23×D5318yes—
1381C42C23×D5311yescharacteristic
1382C42C23×D5314yes—
1383C42C23×D5312yes—
1384C23—532no—
1385C23—531no—
1386C23—538no—
1387C23—531no—
1388C23—1064no—
1389C23—10616no—
1390C23—1062no—
1391C23—1068no—
1392C23—2124no—
1393C23—2128no—
1394C23—2122no—
1395C23—2124no—
1396C23—2124no—
1397C23—2128no—
1398C23C24×D5314yes—
1399C23C24×D5312yes—
1400C23C24×D5311yescharacteristic
1401Q8—22no—
1402Q8—24no—
1403Q8—534no—
1404Q8—1064no—
1405Q8—2124no—
1406Q8—2128no—
1407D4—28no—
1408D4—24no—
1409D4—24no—
1410D4—22no—
1411D4—44no—
1412D4—48no—
1413D4—538no—
1414D4—534no—
1415D4—10616no—
1416D4—1064no—
1417D4—10616no—
1418D4—1064no—
1419D4—1064no—
1420D4—1068no—
1421D4—1068no—
1422D4—2128no—
1423D4—2128no—
1424D4—2128no—
1425D4—2128no—
1426D4—2124no—
1427D4—2128no—
1428D4—2128no—
1429D4—2128no—
1430D4—2124no—
1431D4—2128no—
1432C2×C4—24no—
1433C2×C4—28no—
1434C2×C4—44no—
1435C2×C4—48no—
1436C2×C4—42no—
1437C2×C4—44no—
1438C2×C4—532no—
1439C2×C4—538no—
1440C2×C4—532no—
1441C2×C4—532no—
1442C2×C4—531no—
1443C2×C4—534no—
1444C2×C4—534no—
1445C2×C4—534no—
1446C2×C4—531no—
1447C2×C4—1064no—
1448C2×C4—10616no—
1449C2×C4—1064no—
1450C2×C4—1064no—
1451C2×C4—1062no—
1452C2×C4—1062no—
1453C2×C4—1062no—
1454C2×C4—1062no—
1455C2×C4—1062no—
1456C2×C4—2124no—
1457C2×C4—2128no—
1458C2×C4—2128no—
1459C2×C4—2128no—
1460C2×C4—2128no—
1461C2×C4—2124no—
1462C2×C4—2124no—
1463C2×C4—2128no—
1464C2×C4—2122no—
1465C2×C4—2124no—
1466C2×C4—2124no—
1467C2×C4—2124no—
1468C2×C4#41×D5314yes—
1469C2×C4C24×D5314yes—
1470C2×C4C24×D5312yes—
1471C2×C4C24×D5314yes—
1472C2×C4C24×D5312yes—
1473C2×C4C24×D5318yes—
1474C2×C4C24×D5312yes—
1475C2×C4C24×D5311yescharacteristic
1476C2×C4C24×D5311yescharacteristic
1477C22—22no—
1478C22—22no—
1479C22—24no—
1480C22—24no—
1481C22—24no—
1482C22—24no—
1483C22—534no—
1484C22—1064no—
1485C22—1061no—
1486C22—1061no—
1487C22—1068no—
1488C22—1068no—
1489C22—1062no—
1490C22—1068no—
1491C22—1062no—
1492C22—4242no—
1493C22—4248no—
1494C22—42416no—
1495C22—4244no—
1496C22C2×#41×D5312yes—
1497C22C25×D5311yescharacteristic
1498C4—24no—
1499C4—22no—
1500C4—24no—
1501C4—22no—
1502C4—28no—
1503C4—22no—
1504C4—534no—
1505C4—1061no—
1506C4—1061no—
1507C4—1062no—
1508C4—1062no—
1509C4—1064no—
1510C4—1064no—
1511C4—1064no—
1512C4C2×#41×D5312yes—
1513C4C2×#41×D5312yes—
1514C2—22no—
1515C2—44no—
1516C2—42no—
1517C2—1064no—
1518C2—2121no—
1519C2—2128no—
1520C2—2121no—
1521C2C22×#41×D5311yescharacteristic
1522C2#2028952612yes—
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3512C2
hypercenter#3512D53
hypocenterC53#62858
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3512

Complements

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

NH ≅ G/Ntype
1. #20288821C2semidirect
2. #20288743C2semidirect
3. #20288740C2semidirect
4. #20288714C2semidirect
5. #20288660C2semidirect
6. #20288646C2semidirect
7. #20288638C2semidirect
8. #20288591C2semidirect
9. #20288587C2semidirect
10. #20288539C2semidirect
11. #20288488C2semidirect
12. #20288451C2semidirect
13. #20288438C2semidirect
14. #20288379C2semidirect
15. #20288136C2semidirect
16. #20288132C2semidirect
17. #20288106C2semidirect
18. #20288104C2semidirect
19. C2×#16811229C2semidirect
20. #540×D53C2semidirect
21. #20287921C2semidirect
22. #20287914C2semidirect
23. C53×#3512C2semidirect
26. #16811358C22semidirect
27. #16811357C22semidirect
28. #16811350C22semidirect
29. #16811336C22semidirect
30. #16811336C22semidirect
31. #16811329C22semidirect
32. #16811328C22semidirect
33. #16811326C22semidirect
34. #16811324C22semidirect
35. #16811324C22semidirect
36. #16811324C22semidirect
37. #16811322C22semidirect
38. #16811321C22semidirect
39. #16811317C22semidirect
40. #16811305C22semidirect
41. #16811302C22semidirect
42. #16811298C22semidirect
43. #16811297C22semidirect
44. #16811294C22semidirect
45. #16811294C22semidirect
46. #16811291C22semidirect
47. #16811291C22semidirect
48. #16811283C22semidirect
49. #16811274C22semidirect
50. #16811271C22semidirect
51. #16811269C22semidirect
52. #16811269C22semidirect
53. #16811268C22semidirect
54. #16811265C22semidirect
55. #16811265C22semidirect
56. #16811264C22semidirect
57. #16811262C22semidirect
58. #16811262C22semidirect
59. D4×D212C22semidirect
60. #16811257C22semidirect
61. #16811257C22semidirect
62. #16811257C22semidirect
63. #16811254C22semidirect
64. #16811253C22semidirect
65. #16811246C22semidirect
66. #16811246C22semidirect
67. #16811245C22semidirect
68. #16811242C22semidirect
69. #16811242C22semidirect
70. #16811239C22semidirect
71. #16811234C22semidirect
72. #16811234C22semidirect
73. #16811229C22semidirect
74. #16811229C22semidirect
75. #16811229C22semidirect
76. #16811229C22semidirect
77. #16811229C22semidirect
78. #16811229C22semidirect
79. #16811228C22semidirect
80. #16811228C22semidirect
81. #16811227C22semidirect
82. #16811227C22semidirect
83. #16811226C22semidirect
84. #16811226C22semidirect
85. #16811225C22semidirect
86. #16811225C22semidirect
87. #16811224C22semidirect
88. #16811223C22semidirect
89. #16811221C22semidirect
90. #16811218C22semidirect
91. #16811212C22semidirect
92. #16811212C22semidirect
93. #16811210C22semidirect
94. #16811210C22semidirect
95. #16811209C22semidirect
96. #16811203C22semidirect
97. #16811191C22semidirect
98. #16811189C22semidirect
99. #16811187C22semidirect
100. #16811187C22semidirect
101. #16811180C22semidirect
102. #16811179C22semidirect
103. #16811174C22semidirect
104. #16811173C22semidirect
105. #16811170C22semidirect
106. #16811170C22semidirect
107. #16811168C22semidirect
108. #16811168C22semidirect
109. C2×#13133214C22semidirect
110. #127×D53C22semidirect
111. #16811160C22semidirect
112. #16811159C22semidirect
113. #16811159C22semidirect
114. #16811158C22semidirect
115. #16811156C22semidirect
116. #16811153C22semidirect
117. #16811153C22semidirect
118. #16811151C22semidirect
119. #125×D53C22semidirect
120. #16811136C22semidirect
121. #16811135C22semidirect
122. #16811133C22semidirect
123. #16811132C22semidirect
124. #16811130C22semidirect
125. C2×#13133202C22semidirect
126. #123×D53C22semidirect
127. C2×#13133192C22semidirect
128. C2×#13133192C22semidirect
129. #121×D53C22semidirect
130. #121×D53C22semidirect
131. #16811105C22semidirect
132. #16811105C22semidirect
134. #16811104C22semidirect
135. #16811102C22semidirect
136. #16811102C22semidirect
137. #16811099C22semidirect
138. #16811097C22semidirect
139. #16811097C22semidirect
140. #16811095C22semidirect
141. #16811095C22semidirect
142. #16811095C22semidirect
143. #16811095C22semidirect
144. #41×Dic53C22semidirect
145. #41×Dic53C22semidirect
146. C4×#11719949C22semidirect
148. C4×#11719945C22semidirect
150. #16811091C22semidirect
151. #16811091C22semidirect
152. C2×#13133179C22semidirect
153. C2×#13133179C22semidirect
154. C4×D4×D53C22semidirect
155. C4×D4×D53C22semidirect
156. C2×#13133174C22semidirect
157. C2×#13133174C22semidirect
158. #117×D53C22semidirect
159. #117×D53C22semidirect
160. C53×#553C22semidirect
161. C53×#553C22semidirect
162. C53×#552C22semidirect
163. C53×#541C22semidirect
164. C53×#540C22semidirect
165. C53×#537C22semidirect
166. C53×#532C22semidirect
167. C53×#529C22semidirect
168. C2×#125×C53C22semidirect
169. C53×#520C22semidirect
170. C4×#41×C53C22semidirect
501. #11719945#41semidirect
760. #3512D53semidirect
801. #553C2×D53semidirect
802. #553C2×D53semidirect
804. #552C2×D53semidirect
837. #541C2×D53semidirect
854. #540C2×D53semidirect
863. #537C2×D53semidirect
876. #532C2×D53semidirect
887. #529C2×D53semidirect
889. C2×#125C2×D53semidirect
907. #520C2×D53semidirect
923. C4×#41C2×D53semidirect
932. C53#62858semidirect

Maximal subgroups

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

subgroupindex
#202888212
#202887432
#202887402
#202887142
#202886602
#202886462
#202886382
#202885912
#202885872
#202885392
#202884882
#202884512
#202884382
#202883792
#202881362
#202881322
#202881062
#202881042
C2×#168112292
#540×D532
#202879212
#202879142
C53×#35122
#6285853