Finite Group Databasebeta

← #28293274

Subgroups — #28293274

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#20288818C214yesmaximal, complemented
2#20288745C214yesmaximal, complemented
3#20288741C218yesmaximal, complemented
4#20288717C214yesmaximal, complemented
5#20288653C214yesmaximal, complemented
6#20288647C218yesmaximal, complemented
7#20288639C211yesmaximal, characteristic, complemented
8#20288634C212yesmaximal, complemented
9#20288589C211yesmaximal, characteristic, complemented
10#20288587C212yesmaximal, complemented
11#20288539C211yesmaximal, characteristic, complemented
12#20288491C211yesmaximal, characteristic, complemented
13#20288444C212yesmaximal, complemented
14#20288442C214yesmaximal, complemented
15#20288380C212yesmaximal, complemented
16#20288137C212yesmaximal, complemented
17#20288130C214yesmaximal, complemented
18#20288105C211yesmaximal, characteristic, complemented
19#20288099C212yesmaximal, complemented
20#540×D53C212yesmaximal, complemented
21C4×#13133262C212yesmaximal, complemented
22#20287916C211yesmaximal, characteristic, complemented
23C2×C53×#540C211yesmaximal, characteristic, complemented
24C2×#13133262C2212yes—
25C22×#11719945C2211yescharacteristic
26#16811359C2214yescomplemented
27#16811357C2218yescomplemented
28#16811350C2214yescomplemented
29#16811337C2218yescomplemented
30#16811337C2214yescomplemented
31#16811329C2214yescomplemented
32#16811328C2218yescomplemented
33#16811326C2214yescomplemented
34#16811325C2214yescomplemented
35#16811321C2218yescomplemented
36#16811320C2214yescomplemented
37#16811320C2218yescomplemented
38#16811318C2218yescomplemented
39#16811318C2218yescomplemented
40#16811316C2218yescomplemented
41#16811316C2218yescomplemented
42#16811311C2214yescomplemented
43#16811310C2218yescomplemented
44#16811301C2218yescomplemented
45#16811299C2218yescomplemented
46#16811296C2218yescomplemented
47#16811293C2214yescomplemented
48#16811293C2214yescomplemented
49#16811291C2218yescomplemented
50#16811291C2214yescomplemented
51#16811279C2214yescomplemented
52#16811273C2214yescomplemented
53#16811271C2218yescomplemented
54#16811270C2214yescomplemented
55#16811270C2218yescomplemented
56#16811267C2218yescomplemented
57#16811267C2218yescomplemented
58#16811265C2218yescomplemented
59#16811263C2218yescomplemented
60#16811262C2218yescomplemented
61#16811262C2218yescomplemented
62#16811258C2214yescomplemented
63#16811257C2214yescomplemented
64D4×C22⋊D53C2218yescomplemented
65D4×C22⋊D53C2218yescomplemented
66#16811254C2212yescomplemented
67#16811253C2214yescomplemented
68#16811244C2212yescomplemented
69#16811244C2212yescomplemented
70#16811241C2218yescomplemented
71#16811240C2214yescomplemented
72#16811238C2214yescomplemented
73#16811238C2214yescomplemented
74#16811236C2212yescomplemented
75#16811235C2211yescharacteristic, complemented
76#16811235C2211yescharacteristic, complemented
77#16811229C2212yescomplemented
78#16811228C2211yescharacteristic, complemented
79#16811228C2211yescharacteristic, complemented
80#16811227C2212yescomplemented
81#16811227C2212yescomplemented
82#16811226C2214yescomplemented
83#16811225C2218yescomplemented
84#16811224C2214yescomplemented
85#16811224C2214yescomplemented
86#16811223C2218yescomplemented
87#16811223C2218yescomplemented
88#16811220C2214yescomplemented
89#16811216C2218yescomplemented
90#16811211C2214yescomplemented
91#16811211C2218yescomplemented
92#16811209C2218yescomplemented
93#16811205C2218yescomplemented
94#16811205C2218yescomplemented
95#16811204C2212yescomplemented
96#16811202C2214yescomplemented
97#16811190C2212yescomplemented
98#16811190C2212yescomplemented
99#16811189C2214yescomplemented
100#16811186C2214yescomplemented
101#16811180C2211yescharacteristic, complemented
102#16811179C2212yescomplemented
103#16811173C2211yescharacteristic, complemented
104#16811171C2214yescomplemented
105#16811171C2212yescomplemented
106#16811170C2214yescomplemented
107#16811170C2214yescomplemented
108#16811168C2214yescomplemented
109#16811168C2218yescomplemented
110#127×D53C2212yescomplemented
111#16811158C2214yescomplemented
112#16811155C2214yescomplemented
113#16811155C2214yescomplemented
114#16811154C2218yescomplemented
115#16811154C2214yescomplemented
116#16811151C2214yescomplemented
117#16811151C2214yescomplemented
118#16811150C2218yescomplemented
119#16811150C2218yescomplemented
120#125×D53C2212yescomplemented
121#16811134C2212yescomplemented
122#16811134C2218yescomplemented
123#16811133C2214yescomplemented
124#16811133C2218yescomplemented
125#16811131C2218yescomplemented
126#123×D53C2218yescomplemented
127#121×D53C2214yescomplemented
128#121×D53C2218yescomplemented
129#16811104C2212yes—
130#16811104C2212yescomplemented
131#16811104C2214yescomplemented
132#16811103C2212yescomplemented
133#16811103C2212yescomplemented
134#16811102C2214yescomplemented
135#16811102C2214yescomplemented
136#16811100C2212yescomplemented
137#16811098C2212yescomplemented
138#16811097C2212yescomplemented
139#16811096C2218yescomplemented
140#16811096C2214yescomplemented
141#16811095C2214yescomplemented
142#16811095C2214yescomplemented
143C4×#11719945C2211yescharacteristic
144C4×#11719945C2211yescharacteristic
145C4×#11719945C2211yescharacteristic, complemented
146C4×#11719945C2212yescomplemented
147C4×#11719945C2211yescharacteristic, complemented
148#16811091C2212yescomplemented
149#16811091C2212yescomplemented
150C4×#11719947C2214yescomplemented
151C4×#11719947C2214yescomplemented
152C2×C4×C22⋊D53C2218yescomplemented
153C4×D4×D53C2214yescomplemented
154C4×D4×D53C2214yescomplemented
155C2×#13133176C2211yescharacteristic, complemented
156#117×D53C2212yescomplemented
157#117×D53C2212yescomplemented
158C53×#540C2214yescomplemented
159C53×#540C2212yescomplemented
160C53×#540C2212yescomplemented
161C53×#540C2212yescomplemented
162C53×#540C2214yescomplemented
163C53×#540C2212yescomplemented
164C2×#127×C53C2211yescharacteristic, complemented
165C2×#125×C53C2211yescharacteristic, complemented
166C2×#123×C53C2214yescomplemented
167C2×#121×C53C2212yescomplemented
168C2×#121×C53C2214yescomplemented
169C2×C4×D4×C53C2212yescomplemented
170C2×#117×C53C2211yescharacteristic, complemented
171#13133262—216no—
172C2×#11719945—28no—
173C2×#11719945C2311yescharacteristic
174C2×#11719945C2311yescharacteristic
175C2×#11719945C2312yes—
176C2×#11719945C2311yescharacteristic
177C2×#11719945C2312yes—
178C2×#11719945C2312yes—
179C2×#11719945C2318yes—
180C2×#11719945C2311yescharacteristic
181C2×#11719947C2314yes—
182C2×#11719947C2314yes—
183C2×#11719947C2318yes—
184C2×#11719947C2318yes—
185C22×Dic106C2311yescharacteristic
186C22×D212C2311yescharacteristic
187C22×C22⋊D53C2318yes—
188C22×C22⋊D53C2312yes—
189C2×D4×D53C2314yes—
190C2×D4×D53C2314yes—
191C2×D4×D53C2318yes—
192C2×D4×D53C2318yes—
193C22×C4×D53C2312yes—
194C22×C4×D53C2318yes—
195#13133217C2311yescharacteristic
196#13133217C2312yes—
197#13133216C2318yes—
198#13133216C2314yes—
199#13133216C2314yes—
200#13133214C2311yescharacteristic
201#13133213C2318yes—
202#13133213C2314yes—
203#13133213C2318yes—
204#13133213C2314yes—
205#13133212C2314yes—
206#13133212C2318yes—
207#13133212C2318yes—
208#13133212C2314yes—
209#13133210C2318yes—
210#13133210C2318yes—
211#13133210C2318yes—
212#13133210C2314yes—
213#13133210C2318yes—
214#13133210C2314yes—
215#13133209C2311yescharacteristic
216#13133209C2311yescharacteristic
217#13133208C2318yes—
218#13133208C2314yes—
219#13133208C2314yes—
220#13133207C2314yes—
221#13133207C2318yes—
222#13133207C2318yes—
223#13133207C2314yes—
224#13133205C2312yes—
225#13133204C2318yes—
226#13133204C2318yes—
227#13133204C2314yes—
228#13133204C2314yes—
229#13133203C2318yes—
230#13133203C2318yes—
231#13133203C2318yes—
232#13133203C2314yes—
233#13133203C2318yes—
234#13133203C2314yes—
235#13133202C2314yes—
236#13133202C2318yes—
237#13133202C2318yes—
238#13133202C2314yes—
239#13133201C2318yes—
240#13133200C2314yes—
241#13133200C2318yes—
242#13133200C2318yes—
243#13133199C2314yes—
244#13133199C2318yes—
245#13133199C2318yes—
246#13133199C2318yes—
247#13133199C2318yes—
248#13133199C2314yes—
249#13133198C2318yes—
250#13133198C2318yes—
251#13133198C2318yes—
252#13133198C2318yes—
253#13133197C2314yes—
254#13133197C2318yes—
255#13133197C2314yes—
256#13133196C2314yes—
257#13133196C2318yes—
258#13133196C2312yes—
259#13133196C2318yes—
260#13133196C2312yes—
261#13133195C2318yes—
262#13133195C2314yes—
263#13133195C2318yes—
264#13133195C2314yes—
265#13133194C2318yes—
266#13133194C2318yes—
267#13133192C2318yes—
268#13133192C2314yes—
269#13133192C2314yes—
270#13133191C2318yes—
271#13133191C2314yes—
272#13133191C2312yes—
273#13133191C2318yes—
274#13133191C2312yes—
275#13133190C2318yes—
276#13133190C2318yes—
277#13133190C2314yes—
278#13133190C2318yes—
279#13133190C2314yes—
280#13133190C2318yes—
281#13133189C2318yes—
282#13133189C2318yes—
283#13133189C2318yes—
284#13133189C2318yes—
285#13133189C2318yes—
286#13133189C2318yes—
287#13133189C2318yes—
288#13133189C2318yes—
289#13133188C2318yes—
290#13133188C2318yes—
291#13133188C2318yes—
292#13133188C2314yes—
293#13133188C2314yes—
294#13133188C2318yes—
295#13133188C2314yes—
296#13133188C2314yes—
297#13133187C2318yes—
298#13133186C2318yes—
299#13133186C2314yes—
300#13133186C2318yes—
301#13133185C2318yes—
302#13133185C2318yes—
303#13133185C2318yes—
304#13133185C2318yes—
305C4×Dic106C2312yes—
306C4×Dic106C2314yes—
307C4×Dic106C2312yes—
308C4×Dic106C2312yes—
309C4×Dic106C2312yes—
310C4×Dic106C2312yes—
311C4×Dic106C2312yes—
312#13133182C2314yes—
313#13133182C2318yes—
314#13133182C2314yes—
315#13133182C2314yes—
316#13133182C2314yes—
317C4×D212C2312yes—
318C4×D212C2314yes—
319C4×D212C2312yes—
320C4×D212C2312yes—
321C4×D212C2312yes—
322C4×D212C2312yes—
323C4×D212C2312yes—
324D4×Dic53C2318yes—
325D4×Dic53C2318yes—
326D4×Dic53C2314yes—
327D4×Dic53C2318yes—
328D4×Dic53C2318yes—
329D4×Dic53C2314yes—
330D4×Dic53C2314yes—
331D4×Dic53C2314yes—
332#13133179C2314yes—
333#13133179C2318yes—
334#13133179C2314yes—
335#13133179C2314yes—
336#13133179C2314yes—
337C4×C22⋊D53C2314yes—
338C4×C22⋊D53C2318yes—
339C4×C22⋊D53C2314yes—
340C4×C22⋊D53C2318yes—
341C4×C22⋊D53C2314yes—
342C4×C22⋊D53C2318yes—
343C4×C22⋊D53C2318yes—
344C4×C22⋊D53C2318yes—
345C4×C22⋊D53C2318yes—
346C4×C22⋊D53C2314yes—
347C4×C22⋊D53C2318yes—
348C4×C22⋊D53C2318yes—
349C4×C22⋊D53C2314yes—
350C4×C22⋊D53C2314yes—
351C4×C22⋊D53C2314yes—
352C4×C22⋊D53C2314yes—
353#13133177C2318yes—
354#13133177C2318yes—
355#13133177C2318yes—
356#13133177C2314yes—
357#13133177C2318yes—
358#13133177C2314yes—
359#13133177C2318yes—
360#13133177C2318yes—
361#13133177C2314yes—
362#13133177C2314yes—
363#13133176C2318yes—
364#13133176C2312yes—
365#13133176C2312yes—
366#13133176C2312yes—
367#13133176C2311yescharacteristic
368#13133176C2311yescharacteristic
369#13133176C2312yes—
370#13133175C2314yes—
371#13133175C2318yes—
372#13133175C2314yes—
373#13133175C2314yes—
374#13133175C2314yes—
375#13133174C2312yes—
376#13133174C2312yes—
377#13133174C2312yes—
378#13133174C2312yes—
379#13133174C2314yes—
380#13133173C2318yes—
381#13133173C2318yes—
382#13133173C2314yes—
383#13133173C2314yes—
384#13133173C2318yes—
385C2×C4⋊Dic53C2312yes—
386C2×#11719919C2318yes—
387C4⋊C4×D53C2314yes—
388C4⋊C4×D53C2314yes—
389C4⋊C4×D53C2318yes—
390C4⋊C4×D53C2314yes—
391C4⋊C4×D53C2314yes—
392C2×C22⋊Dic53C2312yes—
393C2×C22⋊Dic53C2318yes—
394C2×#11719921C2318yes—
395C22⋊C4×D53C2318yes—
396C22⋊C4×D53C2314yes—
397C22⋊C4×D53C2318yes—
398C22⋊C4×D53C2314yes—
399C22⋊C4×D53C2318yes—
400C2×C4×Dic53C2312yes—
401C2×C4×Dic53C2318yes—
402C42×D53C2312yes—
403C42×D53C2312yes—
404C42×D53C2312yes—
405C42×D53C2312yes—
406C42×D53C2314yes—
407C22×D4×C53C2312yes—
408C22×D4×C53C2314yes—
409C22×D4×C53C2314yes—
410C23×C4×C53C2311yescharacteristic
411C23×C4×C53C2314yes—
412#127×C53C2314yes—
413#127×C53C2312yes—
414#127×C53C2312yes—
415#125×C53C2314yes—
416#125×C53C2312yes—
417#125×C53C2312yes—
418#123×C53C2318yes—
419#123×C53C2318yes—
420#123×C53C2318yes—
421#123×C53C2318yes—
422#121×C53C2314yes—
423#121×C53C2318yes—
424#121×C53C2314yes—
425#121×C53C2318yes—
426#121×C53C2314yes—
427#121×C53C2318yes—
428#121×C53C2318yes—
429#121×C53C2314yes—
430C4×D4×C53C2314yes—
431C4×D4×C53C2314yes—
432C4×D4×C53C2314yes—
433C4×D4×C53C2314yes—
434#117×C53C2311yescharacteristic
435#117×C53C2311yescharacteristic
436#117×C53C2311yescharacteristic
437#117×C53C2311yescharacteristic
438#117×C53C2312yes—
439#117×C53C2312yes—
440C2×C4⋊C4×C53C2312yes—
441C2×C4⋊C4×C53C2312yes—
442C2×C4⋊C4×C53C2314yes—
443C2×C22⋊C4×C53C2312yes—
444C2×C22⋊C4×C53C2314yes—
445C2×C22⋊C4×C53C2314yes—
446C2×C42×C53C2311yescharacteristic
447C2×C42×C53C2311yescharacteristic
448C24×C53C2411yescharacteristic
449C24×C53C2414yes—
450C23×D53C2412yes—
451C23×D53C2418yes—
452C2×D4×C53—28no—
453C2×D4×C53—84no—
454C2×D4×C53—84no—
455C2×D4×C53C2414yes—
456C2×D4×C53C2414yes—
457C2×D4×C53C2418yes—
458C2×D4×C53C2418yes—
459C2×D4×C53C2418yes—
460C2×D4×C53C2418yes—
461C22×C4×C53—24no—
462C22×C4×C53—84no—
463C22×C4×C53C2411yescharacteristic
464C22×C4×C53C2411yescharacteristic
465C22×C4×C53C2411yescharacteristic
466C22×C4×C53C2411yescharacteristic
467C22×C4×C53C2411yescharacteristic
468C22×C4×C53C2412yes—
469C22×C4×C53C2412yes—
470C22×C4×C53C2414yes—
471C22×C4×C53C2418yes—
472C22×C4×C53C2418yes—
473C22×C4×C53C2411yescharacteristic
474C2×C22⋊D53—28no—
475C2×C22⋊D53—232no—
476C2×C22⋊D53C2412yes—
477C2×C22⋊D53C2412yes—
478C2×C22⋊D53C2418yes—
479C2×C22⋊D53C2418yes—
480C2×C22⋊D53C2412yes—
481C2×C22⋊D53C2414yes—
482C2×C22⋊D53C2418yes—
483C2×C22⋊D53C2418yes—
484C2×C22⋊D53C2414yes—
485C2×C22⋊D53C2418yes—
486C2×C22⋊D53C2414yes—
487C2×C22⋊D53C2418yes—
488C2×C22⋊D53C2412yes—
489C22×Dic53C2418yes—
490C22×Dic53C2412yes—
491C22×Dic53C2418yes—
492C22×Dic53C2414yes—
493C22×Dic53C2418yes—
494#11719947—216no—
495#11719947—216no—
496#11719947—88no—
497#11719947—88no—
498D4×D53—216no—
499D4×D53—216no—
500D4×D53—88no—
501D4×D53—88no—
502#11719945—24no—
503#11719945—28no—
504#11719945—28no—
505#11719945—24no—
506#11719945—28no—
507#11719945—24no—
508#11719945—88no—
509#11719945#4118yescomplemented
510C2×D212—24no—
511C2×D212C2412yes—
512C2×D212C2412yes—
513C2×D212C2411yescharacteristic
514C2×D212C2418yes—
515C2×D212C2414yes—
516C2×D212C2411yescharacteristic
517C2×C4×D53—28no—
518C2×C4×D53—88no—
519C2×C4×D53C2412yes—
520C2×C4×D53C2414yes—
521C2×C4×D53C2412yes—
522C2×C4×D53C2412yes—
523C2×C4×D53C2414yes—
524C2×C4×D53C2414yes—
525C2×C4×D53C2414yes—
526C2×C4×D53C2414yes—
527C2×C4×D53C2414yes—
528C2×C4×D53C2414yes—
529C2×C4×D53C2418yes—
530C2×C4×D53C2418yes—
531C2×C4×D53C2412yes—
532C2×Dic106—24no—
533C2×Dic106C2412yes—
534C2×Dic106C2412yes—
535C2×Dic106C2411yescharacteristic
536C2×Dic106C2418yes—
537C2×Dic106C2414yes—
538C2×Dic106C2411yescharacteristic
539C4⋊C4×C53C2412yes—
540C4⋊C4×C53C2412yes—
541C4⋊C4×C53C2412yes—
542C4⋊C4×C53C2412yes—
543C4⋊C4×C53C2414yes—
544C4⋊C4×C53C2414yes—
545C4⋊C4×C53C2418yes—
546C4⋊C4×C53C2418yes—
547C22⋊C4×C53C2412yes—
548C22⋊C4×C53C2412yes—
549C22⋊C4×C53C2412yes—
550C22⋊C4×C53C2412yes—
551C22⋊C4×C53C2418yes—
552C22⋊C4×C53C2418yes—
553C22⋊C4×C53C2418yes—
554C22⋊C4×C53C2418yes—
555C42×C53C2411yescharacteristic
556C42×C53C2411yescharacteristic
557C42×C53C2412yes—
558C42×C53C2411yescharacteristic
559C42×C53C2411yescharacteristic
560C42×C53C2412yes—
561C22⋊Dic53C2414yes—
562C22⋊Dic53C2418yes—
563C22⋊Dic53C2418yes—
564C22⋊Dic53C2418yes—
565C22⋊Dic53C2412yes—
566C22⋊Dic53C2414yes—
567C22⋊Dic53C2412yes—
568C22⋊Dic53C2418yes—
569C22⋊Dic53C2414yes—
570C22⋊Dic53C2418yes—
571C22⋊Dic53C2418yes—
572C22⋊Dic53C2414yes—
573#11719921C2414yes—
574#11719921C2414yes—
575#11719921C2414yes—
576#11719921C2418yes—
577#11719921C2418yes—
578#11719921C2414yes—
579#11719921C2414yes—
580#11719921C2414yes—
581#11719921C2418yes—
582#11719921C2414yes—
583#11719921C2414yes—
584#11719921C2414yes—
585#11719921C2418yes—
586#11719921C2414yes—
587C4⋊Dic53C2412yes—
588C4⋊Dic53C2414yes—
589C4⋊Dic53C2412yes—
590C4⋊Dic53C2418yes—
591C4⋊Dic53C2412yes—
592C4⋊Dic53C2412yes—
593C4⋊Dic53C2418yes—
594C4⋊Dic53C2414yes—
595C4⋊Dic53C2414yes—
596#11719919C2414yes—
597#11719919C2414yes—
598#11719919C2418yes—
599#11719919C2418yes—
600#11719919C2414yes—
601#11719919C2414yes—
602#11719919C2414yes—
603#11719919C2418yes—
604#11719919C2414yes—
605#11719919C2414yes—
606#11719919C2414yes—
607#11719919C2414yes—
608#11719919C2418yes—
609#11719919C2414yes—
610C4×Dic53C2412yes—
611C4×Dic53C2412yes—
612C4×Dic53C2414yes—
613C4×Dic53C2414yes—
614C4×Dic53C2414yes—
615C4×Dic53C2414yes—
616C4×Dic53C2414yes—
617C4×Dic53C2414yes—
618C4×Dic53C2414yes—
619C4×Dic53C2418yes—
620C4×Dic53C2414yes—
621C4×Dic53C2418yes—
622C23×C53—22no—
623C23×C53—28no—
624C23×C53—44no—
625C23×C53—42no—
626C23×C53—44no—
627C23×C53C2511yescharacteristic
628C23×C53C2518yes—
629C23×C53C2511yescharacteristic
630C23×C53C2511yescharacteristic
631C22×D53—24no—
632C22×D53—216no—
633C22×D53—48no—
634C22×D53—44no—
635C22×D53—48no—
636C22×D53C2512yes—
637C22×D53C2514yes—
638C22×D53C2512yes—
639D4×C53—28no—
640D4×C53—28no—
641D4×C53—48no—
642D4×C53—48no—
643D4×C53—48no—
644D4×C53—48no—
645C2×C4×C53—22no—
646C2×C4×C53—22no—
647C2×C4×C53—22no—
648C2×C4×C53—22no—
649C2×C4×C53—22no—
650C2×C4×C53—48no—
651C2×C4×C53—48no—
652C2×C4×C53—42no—
653C2×C4×C53—44no—
654C2×C4×C53—42no—
655C2×C4×C53C2×#4114yes—
656C2×C4×C53C2512yes—
657C2×C4×C53C2511yescharacteristic
658C2×C4×C53C2518yes—
659C2×C4×C53C2512yes—
660C2×C4×C53C2512yes—
661C2×C4×C53C2511yescharacteristic
662C2×C4×C53C2512yes—
663C2×C4×C53C2511yescharacteristic
664C2×C4×C53C2511yescharacteristic
665C22⋊D53—24no—
666C22⋊D53—28no—
667C22⋊D53—24no—
668C22⋊D53—216no—
669C22⋊D53—24no—
670C22⋊D53—216no—
671C22⋊D53—48no—
672C22⋊D53—48no—
673C22⋊D53—44no—
674C22⋊D53—48no—
675C22⋊D53—48no—
676C22⋊D53—44no—
677C22⋊D53C2×#4118yes—
678C2×Dic53—24no—
679C2×Dic53—216no—
680C2×Dic53—48no—
681C2×Dic53—48no—
682C2×Dic53—44no—
683C2×Dic53C2514yes—
684C2×Dic53C2514yes—
685C2×Dic53C2512yes—
686C2×Dic53C2514yes—
687C2×Dic53C2514yes—
688C2×Dic53C2514yes—
689C2×Dic53C2512yes—
690D212—24no—
691D212—22no—
692D212—24no—
693D212—48no—
694D212—44no—
695D212C2×#4114yes—
696C4×D53—24no—
697C4×D53—24no—
698C4×D53—28no—
699C4×D53—24no—
700C4×D53—44no—
701C4×D53—44no—
702C4×D53—48no—
703C4×D53—48no—
704C4×D53—44no—
705C4×D53—44no—
706C4×D53—44no—
707C4×D53—44no—
708C4×D53C2×#4118yes—
709Dic106—22no—
710Dic106—24no—
711Dic106—24no—
712Dic106—48no—
713Dic106—44no—
714Dic106C2×#4114yes—
715#62858—531nomaximal, Sylow
716C22×C53—22no—
717C22×C53—21no—
718C22×C53—28no—
719C22×C53—21no—
720C22×C53—22no—
721C22×C53—28no—
722C22×C53—28no—
723C22×C53—22no—
724C22×C53—82no—
725C22×C53—88no—
726C22×C53C22×#4112yes—
727C22×C53C2611yescharacteristic
728C2×D53—24no—
729C2×D53—22no—
730C2×D53—24no—
731C2×D53—24no—
732C2×D53—24no—
733C2×D53—24no—
734C2×D53—84no—
735C2×D53—816no—
736C2×D53C22×#4114yes—
737C4×C53—21no—
738C4×C53—21no—
739C4×C53—22no—
740C4×C53—28no—
741C4×C53—22no—
742C4×C53—22no—
743C4×C53—22no—
744C4×C53C22×#4112yes—
745C4×C53C22×#4112yes—
746Dic53—22no—
747Dic53—24no—
748Dic53—24no—
749Dic53—24no—
750Dic53—24no—
751Dic53—24no—
752Dic53C22×#4114yes—
753#3524—534no—
754#3519—534no—
755#3519—538no—
756#3517—534no—
757#3513—534no—
758#3513—538no—
759#3512—532no—
760#3512—531no—
761#3508—532no—
762#3508—531no—
763#3504—531no—
764#3498—531no—
765#3494—534no—
766#3494—532no—
767#3488—532no—
768#3460—534no—
769#3460—532no—
770#3455—532no—
771#3455—531no—
772C2×#540—532no—
773C2×#540D5311yescharacteristic, complemented
774C4×H(5,𝔽2)—532no—
775#3428—531no—
776C2×C53—22no—
777C2×C53—41no—
778C2×C53—48no—
779C2×C53—41no—
780C2×C53C23×#4111yescharacteristic
781C2×C53H(7,𝔽2)12yes—
782D53—24no—
783D53—42no—
784D53—44no—
785C2×H(5,𝔽2)—532no—
786C22×#41—531no—
787#559—534no—
788#559—538no—
789#557—534no—
790#555—534no—
791#555—538no—
792#554—534no—
793#554—538no—
794#553—534no—
795#553—538no—
796#553—538no—
797#553—538no—
798#553—538no—
799#553—534no—
800#553—538no—
801#553—534no—
802#553—538no—
803#552—534no—
804#552—538no—
805#551—538no—
806#551—538no—
807#551—538no—
808#550—534no—
809#550—534no—
810#550—534no—
811#550—538no—
812#548—534no—
813#547—538no—
814#547—534no—
815#546—538no—
816#546—538no—
817#546—538no—
818#546—534no—
819#546—538no—
820#546—538no—
821#546—538no—
822#546—538no—
823D42—538no—
824D42—538no—
825D42—534no—
826D42—534no—
827#544—534no—
828#544—532no—
829#542—538no—
830#542—534no—
831#542—534no—
832#542—534no—
833#542—532no—
834#542—532no—
835#541—532no—
836#541—531no—
837#541—531no—
838#540—532no—
839#540—532no—
840#540—532no—
841#540—538no—
842#540—534no—
843#540—538no—
844#540—538no—
845#540—534no—
846#540—534no—
847#540—531no—
848#540—531no—
849#540C2×D5312yescomplemented
850#540C2×D5312yescomplemented
851#540C2×D5312yescomplemented
852#540C2×D5312yescomplemented
853#540C2×D5314yescomplemented
854#540C2×D5314yescomplemented
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#537—532no—
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—538no—
874#532—534no—
875#532—534no—
876#532—531no—
877C2×#127—532no—
878C2×#127C2×D5311yescharacteristic, complemented
879#529—534no—
880#529—538no—
881#529—538no—
882#529—538no—
883#529—534no—
884#529—534no—
885#529—534no—
886#529—534no—
887#529—534no—
888C2×#125—532no—
889C2×#125C2×D5311yescharacteristic, complemented
890#525—532no—
891#525—538no—
892#525—538no—
893#525—534no—
894#525—538no—
895C2×#123—538no—
896C2×#123C2×D5314yescomplemented
897C2×#121—534no—
898C2×#121—538no—
899C2×#121C2×D5312yescomplemented
900C2×#121C2×D5314yescomplemented
901#520—534no—
902#520—534no—
903#520—532no—
904#520—532no—
905#520—532no—
906#520—534no—
907#520—532no—
908#519—532no—
909#518—532no—
910#518—534no—
911#518—534no—
912#518—532no—
913#518—534no—
914#518—538no—
915C4×#41—534no—
916C4×#41—534no—
917C4×#41—532no—
918C4×#41—532no—
919C4×#41—531no—
920C4×#41—531no—
921C4×#41—531no—
922C4×#41—531no—
923C4×#41—532no—
924C2×C4×D4—538no—
925C2×C4×D4—534no—
926C2×C4×D4—534no—
927C2×C4×D4C2×D5312yescomplemented
928C2×#117—531no—
929C2×#117—532no—
930C2×#117—532no—
931C2×#117C2×D5311yescharacteristic, complemented
932C53#6285811yescharacteristic, complemented, Sylow
933H(5,𝔽2)—10616no—
934C2×#41—534no—
935C2×#41—534no—
936C2×#41—538no—
937C2×#41—538no—
938C2×#41—531no—
939C2×#41—532no—
940C2×#41—531no—
941C2×#41—532no—
942C2×#41—531no—
943C2×#41—532no—
944C2×#41—531no—
945C2×#41—538no—
946C2×#41—1068no—
947C22×Q8—531no—
948C22×D4—538no—
949C22×D4—532no—
950C22×D4—534no—
951C22×D4—534no—
952C22×D4—538no—
953C22×D4—538no—
954C22×D4—531no—
955C22×D4C22×D5312yes—
956C22×D4C22×D5314yes—
957C22×D4C22×D5314yes—
958C23×C4—532no—
959C23×C4—538no—
960C23×C4C22×D5311yescharacteristic
961C23×C4C22×D5314yes—
962C4⋊Q8—534no—
963C4⋊Q8—538no—
964C4⋊Q8—534no—
965C4⋊Q8—531no—
966C4⋊Q8—532no—
967#127—534no—
968#127—538no—
969#127—538no—
970#127—534no—
971#127—531no—
972#127C22×D5312yes—
973#127C22×D5312yes—
974#127C22×D5314yes—
975#126—534no—
976#126—538no—
977#126—538no—
978#126—534no—
979#126—534no—
980#126—538no—
981#126—534no—
982#126—538no—
983#126—538no—
984#126—538no—
985#125—534no—
986#125—538no—
987#125—534no—
988#125—534no—
989#125—538no—
990#125—538no—
991#125—534no—
992#125—531no—
993#125—531no—
994#125C22×D5312yes—
995#125C22×D5312yes—
996#125C22×D5314yes—
997#124—534no—
998#124—534no—
999#124—538no—
1000#124—538no—
1001#124—538no—
1002#124—534no—
1003#124—538no—
1004#124—534no—
1005#124—538no—
1006#124—538no—
1007#124—532no—
1008#123—538no—
1009#123—538no—
1010#123—538no—
1011#123—538no—
1012#123—538no—
1013#123—538no—
1014#123—534no—
1015#123—534no—
1016#123—538no—
1017#123—538no—
1018#123—534no—
1019#123—538no—
1020#123—538no—
1021#123—538no—
1022#123—534no—
1023#123—538no—
1024#123—538no—
1025#123—534no—
1026#123C22×D5318yes—
1027#123C22×D5318yes—
1028#123C22×D5318yes—
1029#123C22×D5318yes—
1030C22⋊Q8—532no—
1031C22⋊Q8—538no—
1032C22⋊Q8—532no—
1033C22⋊Q8—538no—
1034C22⋊Q8—534no—
1035C22⋊Q8—534no—
1036C22⋊Q8—534no—
1037C22⋊Q8—538no—
1038C22⋊Q8—538no—
1039C22⋊Q8—534no—
1040C22⋊Q8—534no—
1041C22⋊Q8—538no—
1042C22⋊Q8—538no—
1043C22⋊Q8—538no—
1044#121—534no—
1045#121—538no—
1046#121—538no—
1047#121—538no—
1048#121—538no—
1049#121—534no—
1050#121—538no—
1051#121—534no—
1052#121—538no—
1053#121—538no—
1054#121—534no—
1055#121—538no—
1056#121—538no—
1057#121—538no—
1058#121—538no—
1059#121—538no—
1060#121—532no—
1061#121—538no—
1062#121—532no—
1063#121—538no—
1064#121—534no—
1065#121—534no—
1066#121—538no—
1067#121—534no—
1068#121—534no—
1069#121—538no—
1070#121—538no—
1071#121—538no—
1072#121—534no—
1073#121—538no—
1074#121C22×D5314yes—
1075#121C22×D5318yes—
1076#121C22×D5318yes—
1077#121C22×D5314yes—
1078#121C22×D5314yes—
1079#121C22×D5318yes—
1080#121C22×D5314yes—
1081#121C22×D5318yes—
1082#120—538no—
1083#120—538no—
1084#120—534no—
1085#120—538no—
1086#120—538no—
1087#120—538no—
1088#120—538no—
1089#120—538no—
1090C4×Q8—534no—
1091C4×Q8—534no—
1092C4×Q8—534no—
1093C4×Q8—534no—
1094C4×Q8—538no—
1095C4×Q8—532no—
1096C4×Q8—532no—
1097C4×Q8—532no—
1098C4×Q8—532no—
1099C4×Q8—532no—
1100C4×Q8—532no—
1101C4×Q8—534no—
1102C4×D4—534no—
1103C4×D4—534no—
1104C4×D4—534no—
1105C4×D4—534no—
1106C4×D4—538no—
1107C4×D4—538no—
1108C4×D4—538no—
1109C4×D4—538no—
1110C4×D4—534no—
1111C4×D4—534no—
1112C4×D4—538no—
1113C4×D4—538no—
1114C4×D4—538no—
1115C4×D4—538no—
1116C4×D4—538no—
1117C4×D4—538no—
1118C4×D4—534no—
1119C4×D4—534no—
1120C4×D4—534no—
1121C4×D4—534no—
1122C4×D4—534no—
1123C4×D4—534no—
1124C4×D4—538no—
1125C4×D4—538no—
1126C4×D4—534no—
1127C4×D4—534no—
1128C4×D4—534no—
1129C4×D4—534no—
1130C4×D4—538no—
1131C4×D4—538no—
1132C4×D4—538no—
1133C4×D4—538no—
1134C4×D4—538no—
1135C4×D4—534no—
1136C4×D4—534no—
1137C4×D4—534no—
1138C4×D4—534no—
1139C4×D4—538no—
1140C4×D4—538no—
1141C4×D4—532no—
1142C4×D4—532no—
1143C4×D4—532no—
1144C4×D4—532no—
1145C4×D4—532no—
1146C4×D4—532no—
1147C4×D4—534no—
1148C4×D4C22×D5314yes—
1149C4×D4C22×D5314yes—
1150C4×D4C22×D5314yes—
1151C4×D4C22×D5314yes—
1152#117—532no—
1153#117—531no—
1154#117—531no—
1155#117—532no—
1156#117—532no—
1157#117—532no—
1158#117—538no—
1159#117—534no—
1160#117—534no—
1161#117—534no—
1162#117—534no—
1163#117—538no—
1164#117—534no—
1165#117—534no—
1166#117—538no—
1167#117—538no—
1168#117—538no—
1169#117—532no—
1170#117—532no—
1171#117—532no—
1172#117—532no—
1173#117—534no—
1174#117C22×D5311yescharacteristic
1175#117C22×D5311yescharacteristic
1176#117C22×D5311yescharacteristic
1177#117C22×D5311yescharacteristic
1178#117C22×D5312yes—
1179#117C22×D5312yes—
1180C2×C4⋊C4—532no—
1181C2×C4⋊C4—538no—
1182C2×C4⋊C4—534no—
1183C2×C4⋊C4—534no—
1184C2×C4⋊C4—534no—
1185C2×C4⋊C4—534no—
1186C2×C4⋊C4—538no—
1187C2×C4⋊C4C22×D5312yes—
1188C2×C4⋊C4C22×D5312yes—
1189C2×C4⋊C4C22×D5314yes—
1190C2×C22⋊C4—532no—
1191C2×C22⋊C4—538no—
1192C2×C22⋊C4—538no—
1193C2×C22⋊C4—534no—
1194C2×C22⋊C4—534no—
1195C2×C22⋊C4—538no—
1196C2×C22⋊C4—538no—
1197C2×C22⋊C4—538no—
1198C2×C22⋊C4C22×D5312yes—
1199C2×C22⋊C4C22×D5314yes—
1200C2×C22⋊C4C22×D5314yes—
1201C2×C42—532no—
1202C2×C42—538no—
1203C2×C42—532no—
1204C2×C42—532no—
1205C2×C42—532no—
1206C2×C42—532no—
1207C2×C42—534no—
1208C2×C42C22×D5311yescharacteristic
1209C2×C42C22×D5311yescharacteristic
1210C24—538no—
1211C24—532no—
1212C24C23×D5311yescharacteristic
1213C24C23×D5314yes—
1214#41—538no—
1215#41—1068no—
1216#41—1068no—
1217#41—1064no—
1218#41—1064no—
1219#41—10616no—
1220#41—10616no—
1221#41—1064no—
1222#41—1068no—
1223#41—4248no—
1224#41—4248no—
1225#41—4248no—
1226C2×Q8—531no—
1227C2×Q8—532no—
1228C2×Q8—531no—
1229C2×Q8—532no—
1230C2×Q8—538no—
1231C2×Q8—534no—
1232C2×Q8—1064no—
1233C2×D4—28no—
1234C2×D4—84no—
1235C2×D4—84no—
1236C2×D4—532no—
1237C2×D4—532no—
1238C2×D4—532no—
1239C2×D4—538no—
1240C2×D4—534no—
1241C2×D4—538no—
1242C2×D4—532no—
1243C2×D4—534no—
1244C2×D4—538no—
1245C2×D4—538no—
1246C2×D4—538no—
1247C2×D4—534no—
1248C2×D4—538no—
1249C2×D4—531no—
1250C2×D4—532no—
1251C2×D4—532no—
1252C2×D4—531no—
1253C2×D4—538no—
1254C2×D4—534no—
1255C2×D4—1064no—
1256C2×D4—10616no—
1257C2×D4—10616no—
1258C2×D4—1068no—
1259C2×D4—10632no—
1260C2×D4—4248no—
1261C2×D4—4248no—
1262C2×D4C23×D5314yes—
1263C2×D4C23×D5314yes—
1264C2×D4C23×D5318yes—
1265C2×D4C23×D5318yes—
1266C2×D4C23×D5318yes—
1267C2×D4C23×D5318yes—
1268C22×C4—24no—
1269C22×C4—84no—
1270C22×C4—532no—
1271C22×C4—538no—
1272C22×C4—532no—
1273C22×C4—538no—
1274C22×C4—534no—
1275C22×C4—538no—
1276C22×C4—532no—
1277C22×C4—534no—
1278C22×C4—532no—
1279C22×C4—532no—
1280C22×C4—534no—
1281C22×C4—534no—
1282C22×C4—534no—
1283C22×C4—534no—
1284C22×C4—534no—
1285C22×C4—534no—
1286C22×C4—538no—
1287C22×C4—538no—
1288C22×C4—1068no—
1289C22×C4—4248no—
1290C22×C4C23×D5311yescharacteristic
1291C22×C4C23×D5311yescharacteristic
1292C22×C4C23×D5311yescharacteristic
1293C22×C4C23×D5311yescharacteristic
1294C22×C4C23×D5311yescharacteristic
1295C22×C4C23×D5318yes—
1296C22×C4C23×D5312yes—
1297C22×C4C23×D5312yes—
1298C22×C4C23×D5318yes—
1299C22×C4C23×D5314yes—
1300C22×C4C23×D5311yescharacteristic
1301C4⋊C4—534no—
1302C4⋊C4—532no—
1303C4⋊C4—534no—
1304C4⋊C4—538no—
1305C4⋊C4—532no—
1306C4⋊C4—538no—
1307C4⋊C4—534no—
1308C4⋊C4—534no—
1309C4⋊C4—534no—
1310C4⋊C4—532no—
1311C4⋊C4—534no—
1312C4⋊C4—534no—
1313C4⋊C4—538no—
1314C4⋊C4—538no—
1315C4⋊C4—532no—
1316C4⋊C4—534no—
1317C4⋊C4—534no—
1318C4⋊C4—538no—
1319C4⋊C4—534no—
1320C4⋊C4—534no—
1321C4⋊C4—538no—
1322C4⋊C4—534no—
1323C4⋊C4—534no—
1324C4⋊C4C23×D5312yes—
1325C4⋊C4C23×D5312yes—
1326C4⋊C4C23×D5314yes—
1327C4⋊C4C23×D5314yes—
1328C4⋊C4C23×D5318yes—
1329C4⋊C4C23×D5318yes—
1330C4⋊C4C23×D5312yes—
1331C4⋊C4C23×D5312yes—
1332C22⋊C4—532no—
1333C22⋊C4—534no—
1334C22⋊C4—534no—
1335C22⋊C4—538no—
1336C22⋊C4—538no—
1337C22⋊C4—532no—
1338C22⋊C4—538no—
1339C22⋊C4—538no—
1340C22⋊C4—534no—
1341C22⋊C4—538no—
1342C22⋊C4—538no—
1343C22⋊C4—534no—
1344C22⋊C4—534no—
1345C22⋊C4—538no—
1346C22⋊C4—538no—
1347C22⋊C4—534no—
1348C22⋊C4—534no—
1349C22⋊C4—534no—
1350C22⋊C4—534no—
1351C22⋊C4—534no—
1352C22⋊C4—534no—
1353C22⋊C4—538no—
1354C22⋊C4—534no—
1355C22⋊C4—534no—
1356C22⋊C4—534no—
1357C22⋊C4—538no—
1358C22⋊C4C23×D5312yes—
1359C22⋊C4C23×D5312yes—
1360C22⋊C4C23×D5318yes—
1361C22⋊C4C23×D5318yes—
1362C22⋊C4C23×D5318yes—
1363C22⋊C4C23×D5318yes—
1364C22⋊C4C23×D5312yes—
1365C22⋊C4C23×D5312yes—
1366C42—534no—
1367C42—532no—
1368C42—532no—
1369C42—534no—
1370C42—538no—
1371C42—534no—
1372C42—534no—
1373C42—534no—
1374C42—534no—
1375C42—538no—
1376C42—534no—
1377C42—534no—
1378C42C23×D5311yescharacteristic
1379C42C23×D5311yescharacteristic
1380C42C23×D5312yes—
1381C42C23×D5311yescharacteristic
1382C42C23×D5311yescharacteristic
1383C42C23×D5312yes—
1384C23—22no—
1385C23—28no—
1386C23—44no—
1387C23—42no—
1388C23—44no—
1389C23—532no—
1390C23—534no—
1391C23—532no—
1392C23—1064no—
1393C23—10616no—
1394C23—2128no—
1395C23—2128no—
1396C23—2124no—
1397C23C24×D5311yescharacteristic
1398C23C24×D5318yes—
1399C23C24×D5311yescharacteristic
1400C23C24×D5311yescharacteristic
1401Q8—534no—
1402Q8—1064no—
1403Q8—1062no—
1404Q8—1064no—
1405Q8—2128no—
1406Q8—2124no—
1407D4—28no—
1408D4—28no—
1409D4—48no—
1410D4—48no—
1411D4—48no—
1412D4—48no—
1413D4—538no—
1414D4—534no—
1415D4—1064no—
1416D4—10616no—
1417D4—1064no—
1418D4—10616no—
1419D4—1064no—
1420D4—1068no—
1421D4—1064no—
1422D4—1064no—
1423D4—1062no—
1424D4—2124no—
1425D4—2128no—
1426D4—2124no—
1427D4—2128no—
1428D4—2128no—
1429D4—2128no—
1430D4—2128no—
1431D4—2124no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—42no—
1438C2×C4—48no—
1439C2×C4—44no—
1440C2×C4—48no—
1441C2×C4—42no—
1442C2×C4—532no—
1443C2×C4—538no—
1444C2×C4—534no—
1445C2×C4—532no—
1446C2×C4—534no—
1447C2×C4—534no—
1448C2×C4—534no—
1449C2×C4—534no—
1450C2×C4—1064no—
1451C2×C4—1064no—
1452C2×C4—1064no—
1453C2×C4—10616no—
1454C2×C4—1064no—
1455C2×C4—1068no—
1456C2×C4—2124no—
1457C2×C4—2124no—
1458C2×C4—2128no—
1459C2×C4—2128no—
1460C2×C4—2124no—
1461C2×C4—2124no—
1462C2×C4—2124no—
1463C2×C4—2124no—
1464C2×C4—2128no—
1465C2×C4—2124no—
1466C2×C4—2128no—
1467C2×C4#41×D5314yes—
1468C2×C4C24×D5312yes—
1469C2×C4C24×D5312yes—
1470C2×C4C24×D5311yescharacteristic
1471C2×C4C24×D5312yes—
1472C2×C4C24×D5312yes—
1473C2×C4C24×D5318yes—
1474C2×C4C24×D5311yescharacteristic
1475C2×C4C24×D5311yescharacteristic
1476C2×C4C24×D5311yescharacteristic
1477C22—22no—
1478C22—21no—
1479C22—21no—
1480C22—28no—
1481C22—28no—
1482C22—22no—
1483C22—28no—
1484C22—22no—
1485C22—82no—
1486C22—88no—
1487C22—534no—
1488C22—1064no—
1489C22—1062no—
1490C22—1064no—
1491C22—1064no—
1492C22—1064no—
1493C22—1064no—
1494C22—4244no—
1495C22—42416no—
1496C22C2×#41×D5312yes—
1497C22C25×D5311yescharacteristic
1498C4—21no—
1499C4—21no—
1500C4—22no—
1501C4—22no—
1502C4—28no—
1503C4—22no—
1504C4—22no—
1505C4—534no—
1506C4—1064no—
1507C4—1062no—
1508C4—1064no—
1509C4—1064no—
1510C4—1064no—
1511C4—1064no—
1512C4C2×#41×D5312yes—
1513C4C2×#41×D5312yes—
1514C2—22no—
1515C2—41no—
1516C2—48no—
1517C2—41no—
1518C2—1064no—
1519C2—2124no—
1520C2—2122no—
1521C2C22×#41×D5311yescharacteristic
1522C2#2028952512yes—
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC2×C53×#540C2
hypercenterC2×#540D53
hypocenterC53#62858
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ C2×#540

Complements

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

NH ≅ G/Ntype
1. #20288818C2semidirect
2. #20288745C2semidirect
3. #20288741C2semidirect
4. #20288717C2semidirect
5. #20288653C2semidirect
6. #20288647C2semidirect
7. #20288639C2semidirect
8. #20288634C2semidirect
9. #20288589C2semidirect
10. #20288587C2semidirect
11. #20288539C2semidirect
12. #20288491C2semidirect
13. #20288444C2semidirect
14. #20288442C2semidirect
15. #20288380C2semidirect
16. #20288137C2semidirect
17. #20288130C2semidirect
18. #20288105C2semidirect
19. #20288099C2semidirect
20. #540×D53C2semidirect
21. C4×#13133262C2semidirect
22. #20287916C2semidirect
23. C2×C53×#540C2semidirect
26. #16811359C22semidirect
27. #16811357C22semidirect
28. #16811350C22semidirect
29. #16811337C22semidirect
30. #16811337C22semidirect
31. #16811329C22semidirect
32. #16811328C22semidirect
33. #16811326C22semidirect
34. #16811325C22semidirect
35. #16811321C22semidirect
36. #16811320C22semidirect
37. #16811320C22semidirect
38. #16811318C22semidirect
39. #16811318C22semidirect
40. #16811316C22semidirect
41. #16811316C22semidirect
42. #16811311C22semidirect
43. #16811310C22semidirect
44. #16811301C22semidirect
45. #16811299C22semidirect
46. #16811296C22semidirect
47. #16811293C22semidirect
48. #16811293C22semidirect
49. #16811291C22semidirect
50. #16811291C22semidirect
51. #16811279C22semidirect
52. #16811273C22semidirect
53. #16811271C22semidirect
54. #16811270C22semidirect
55. #16811270C22semidirect
56. #16811267C22semidirect
57. #16811267C22semidirect
58. #16811265C22semidirect
59. #16811263C22semidirect
60. #16811262C22semidirect
61. #16811262C22semidirect
62. #16811258C22semidirect
63. #16811257C22semidirect
64. D4×C22⋊D53C22semidirect
65. D4×C22⋊D53C22semidirect
66. #16811254C22semidirect
67. #16811253C22semidirect
68. #16811244C22semidirect
69. #16811244C22semidirect
70. #16811241C22semidirect
71. #16811240C22semidirect
72. #16811238C22semidirect
73. #16811238C22semidirect
74. #16811236C22semidirect
75. #16811235C22semidirect
76. #16811235C22semidirect
77. #16811229C22semidirect
78. #16811228C22semidirect
79. #16811228C22semidirect
80. #16811227C22semidirect
81. #16811227C22semidirect
82. #16811226C22semidirect
83. #16811225C22semidirect
84. #16811224C22semidirect
85. #16811224C22semidirect
86. #16811223C22semidirect
87. #16811223C22semidirect
88. #16811220C22semidirect
89. #16811216C22semidirect
90. #16811211C22semidirect
91. #16811211C22semidirect
92. #16811209C22semidirect
93. #16811205C22semidirect
94. #16811205C22semidirect
95. #16811204C22semidirect
96. #16811202C22semidirect
97. #16811190C22semidirect
98. #16811190C22semidirect
99. #16811189C22semidirect
100. #16811186C22semidirect
101. #16811180C22semidirect
102. #16811179C22semidirect
103. #16811173C22semidirect
104. #16811171C22semidirect
105. #16811171C22semidirect
106. #16811170C22semidirect
107. #16811170C22semidirect
108. #16811168C22semidirect
109. #16811168C22semidirect
110. #127×D53C22semidirect
111. #16811158C22semidirect
112. #16811155C22semidirect
113. #16811155C22semidirect
114. #16811154C22semidirect
115. #16811154C22semidirect
116. #16811151C22semidirect
117. #16811151C22semidirect
118. #16811150C22semidirect
119. #16811150C22semidirect
120. #125×D53C22semidirect
121. #16811134C22semidirect
122. #16811134C22semidirect
123. #16811133C22semidirect
124. #16811133C22semidirect
125. #16811131C22semidirect
126. #123×D53C22semidirect
127. #121×D53C22semidirect
128. #121×D53C22semidirect
130. #16811104C22semidirect
131. #16811104C22semidirect
132. #16811103C22semidirect
133. #16811103C22semidirect
134. #16811102C22semidirect
135. #16811102C22semidirect
136. #16811100C22semidirect
137. #16811098C22semidirect
138. #16811097C22semidirect
139. #16811096C22semidirect
140. #16811096C22semidirect
141. #16811095C22semidirect
142. #16811095C22semidirect
145. C4×#11719945C22semidirect
146. C4×#11719945C22semidirect
147. C4×#11719945C22semidirect
148. #16811091C22semidirect
149. #16811091C22semidirect
150. C4×#11719947C22semidirect
151. C4×#11719947C22semidirect
152. C2×C4×C22⋊D53C22semidirect
153. C4×D4×D53C22semidirect
154. C4×D4×D53C22semidirect
155. C2×#13133176C22semidirect
156. #117×D53C22semidirect
157. #117×D53C22semidirect
158. C53×#540C22semidirect
159. C53×#540C22semidirect
160. C53×#540C22semidirect
161. C53×#540C22semidirect
162. C53×#540C22semidirect
163. C53×#540C22semidirect
164. C2×#127×C53C22semidirect
165. C2×#125×C53C22semidirect
166. C2×#123×C53C22semidirect
167. C2×#121×C53C22semidirect
168. C2×#121×C53C22semidirect
169. C2×C4×D4×C53C22semidirect
170. C2×#117×C53C22semidirect
509. #11719945#41semidirect
773. C2×#540D53semidirect
849. #540C2×D53semidirect
850. #540C2×D53semidirect
851. #540C2×D53semidirect
852. #540C2×D53semidirect
853. #540C2×D53semidirect
854. #540C2×D53semidirect
878. C2×#127C2×D53semidirect
889. C2×#125C2×D53semidirect
896. C2×#123C2×D53semidirect
899. C2×#121C2×D53semidirect
900. C2×#121C2×D53semidirect
927. C2×C4×D4C2×D53semidirect
931. C2×#117C2×D53semidirect
932. C53#62858semidirect

Maximal subgroups

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

subgroupindex
#202888182
#202887452
#202887412
#202887172
#202886532
#202886472
#202886392
#202886342
#202885892
#202885872
#202885392
#202884912
#202884442
#202884422
#202883802
#202881372
#202881302
#202881052
#202880992
#540×D532
C4×#131332622
#202879162
C2×C53×#5402
#6285853