Finite Group Databasebeta

← #28293316

Subgroups — #28293316

Order 13568.

6854 conjugacy classes of subgroups.

The subgroup lattice has 1464 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288809C214yesmaximal, complemented
2#20288787C214yesmaximal, complemented
3#20288779C218yesmaximal, complemented
4#20288704C214yesmaximal, complemented
5#20288695C214yesmaximal, complemented
6#20288685C218yesmaximal, complemented
7#20288635C211yesmaximal, characteristic, complemented
8#20288634C212yesmaximal, complemented
9#20288602C211yesmaximal, characteristic, complemented
10#20288597C212yesmaximal, complemented
11#20288536C211yesmaximal, characteristic, complemented
12#20288495C211yesmaximal, characteristic, complemented
13#20288469C212yesmaximal, complemented
14#20288465C214yesmaximal, complemented
15#20288387C212yesmaximal, complemented
16#20288142C212yesmaximal, complemented
17#20288141C214yesmaximal, complemented
18#20288099C212yesmaximal, complemented
19C2×#16811235C211yesmaximal, characteristic, complemented
20#541×D53C212yesmaximal, complemented
21C4×#13133264C212yesmaximal, complemented
22#20287916C211yesmaximal, characteristic, complemented
23C53×#3455C211yesmaximal, characteristic, complemented
24C2×#13133264C2212yes—
25C22×#11719945C2211yescharacteristic
26#16811352C2214yescomplemented
27#16811351C2214yescomplemented
28#16811350C2218yescomplemented
29#16811346C2214yescomplemented
30#16811343C2214yes—
31#16811342C2218yes—
32#16811340C2218yescomplemented
33#16811333C2214yescomplemented
34#16811330C2214yescomplemented
35#16811327C2218yescomplemented
36#16811327C2218yescomplemented
37#16811320C2218yescomplemented
38#16811319C2214yescomplemented
39#16811318C2218yescomplemented
40#16811316C2218yescomplemented
41#16811316C2218yescomplemented
42#16811315C2218yescomplemented
43#16811313C2214yes—
44#16811313C2214yescomplemented
45#16811313C2214yescomplemented
46#16811310C2218yes—
47#16811310C2218yescomplemented
48#16811310C2218yescomplemented
49#16811309C2218yescomplemented
50#16811309C2218yescomplemented
51#16811309C2218yescomplemented
52#16811307C2218yescomplemented
53#16811305C2218yescomplemented
54#16811304C2218yes—
55#16811303C2218yes—
56#16811301C2218yes—
57D4×Dic106C2214yes—
58D4×Dic106C2214yescomplemented
59#16811282C2214yes—
60#16811278C2214yes—
61#16811278C2214yescomplemented
62#16811273C2218yescomplemented
63#16811271C2218yes—
64#16811269C2214yes—
65#16811260C2218yes—
66#16811251C2212yescomplemented
67#16811250C2214yescomplemented
68#16811244C2214yescomplemented
69#16811240C2214yes—
70#16811238C2214yescomplemented
71#16811237C2218yescomplemented
72#16811236C2212yescomplemented
73#16811236C2212yescomplemented
74#16811235C2214yes—
75#16811235C2212yes—
76#16811235C2212yes—
77#16811235C2214yescomplemented
78#16811235C2212yescomplemented
79#16811235C2212yescomplemented
80#16811235C2214yescomplemented
81#16811234C2212yescomplemented
82#16811233C2214yes—
83#16811232C2218yescomplemented
84#16811231C2214yescomplemented
85#16811230C2218yes—
86#16811230C2218yescomplemented
87#16811227C2212yescomplemented
88#16811219C2218yescomplemented
89#16811216C2218yescomplemented
90#16811216C2218yescomplemented
91#16811215C2218yescomplemented
92#16811205C2218yes—
93#16811202C2214yes—
94#16811201C2212yes—
95#16811199C2212yes—
96#16811196C2214yes—
97#16811194C2212yescomplemented
98#16811193C2214yescomplemented
99#16811180C2214yescomplemented
100#16811179C2212yescomplemented
101#16811178C2214yescomplemented
102#16811177C2214yescomplemented
103#16811175C2218yescomplemented
104#16811175C2214yescomplemented
105#16811171C2212yescomplemented
106C2×#13133217C2211yescharacteristic, complemented
107C4⋊Q8×D53C2212yescomplemented
108#16811157C2214yescomplemented
109#16811156C2218yescomplemented
110#16811155C2214yescomplemented
111#16811154C2218yes—
112#16811154C2214yescomplemented
113#16811153C2218yescomplemented
114#16811152C2218yescomplemented
115#16811152C2214yescomplemented
116#16811150C2218yescomplemented
117#16811150C2218yescomplemented
118C2×#13133210C2214yes—
119#126×D53C2218yes—
120C2×#13133209C2211yescharacteristic, complemented
121C2×#13133207C2214yescomplemented
122#125×D53C2212yescomplemented
123#125×D53C2218yescomplemented
124#16811133C2214yes—
125C2×#13133196C2212yes—
126C22⋊Q8×D53C2214yes—
127#16811106C2212yescomplemented
128#16811104C2214yes—
129#16811103C2212yes—
130#16811103C2212yes—
131#16811103C2212yes—
132#16811103C2214yescomplemented
133#16811102C2218yescomplemented
134#16811102C2214yescomplemented
135#16811100C2212yes—
136#16811100C2214yescomplemented
137#16811100C2212yescomplemented
138#16811099C2214yescomplemented
139#16811097C2212yes—
140#16811096C2214yes—
141C4×#11719945C2211yescharacteristic
142C4×#11719945C2211yescharacteristic
143C4×#11719945C2211yescharacteristic
144C4×#11719945C2211yescharacteristic
145C4×#11719945C2214yescomplemented
146#16811091C2212yes—
147#16811091C2212yes—
148C4×#11719947C2218yescomplemented
149C4×#11719947C2214yescomplemented
150C2×C4×Dic106C2214yescomplemented
151C2×C4×Dic106C2212yescomplemented
152C4×Q8×D53C2214yescomplemented
153C2×#13133176C2211yescharacteristic
154#117×D53C2212yes—
155#117×D53C2212yes—
156C53×#542C2212yes—
157C53×#542C2212yescomplemented
158C53×#541C2211yescharacteristic
159C53×#541C2211yescharacteristic, complemented
160C53×#540C2211yescharacteristic
161C53×#540C2211yescharacteristic, complemented
162C53×#539C2214yescomplemented
163C53×#538C2214yes—
164C53×#533C2211yescharacteristic, complemented
165C53×#532C2211yescharacteristic, complemented
166C53×#529C2214yes—
167C53×#529C2214yescomplemented
168C53×#525C2212yes—
169C4×#41×C53C2212yescomplemented
170C2×#117×C53C2211yescharacteristic
171#13133264—216no—
172C2×#11719945—28no—
173C2×#11719945C2314yes—
174C2×#11719945C2312yes—
175C2×#11719945C2311yescharacteristic
176C2×#11719945C2311yescharacteristic
177C2×#11719945C2312yes—
178C2×#11719945C2311yescharacteristic
179C2×#11719945C2311yescharacteristic
180C2×#11719947C2318yes—
181C2×#11719947C2314yes—
182C22×Dic106C2314yes—
183C22×Dic106C2311yescharacteristic
184C22×Dic106C2312yes—
185C2×Q8×D53C2314yes—
186C22×D212C2311yescharacteristic
187C22×C22⋊D53C2312yes—
188C22×C4×D53C2312yes—
189#13133217C2314yes—
190#13133217C2314yes—
191#13133217C2314yes—
192#13133217C2312yes—
193#13133217C2312yes—
194#13133216C2318yes—
195#13133216C2318yes—
196#13133216C2314yes—
197#13133215C2318yes—
198#13133215C2314yes—
199#13133212C2318yes—
200#13133212C2318yes—
201#13133212C2318yes—
202#13133212C2318yes—
203#13133211C2318yes—
204#13133210C2318yes—
205#13133210C2318yes—
206#13133210C2318yes—
207#13133210C2318yes—
208#13133210C2318yes—
209#13133210C2318yes—
210#13133210C2318yes—
211#13133210C2318yes—
212#13133210C2318yes—
213#13133210C2318yes—
214#13133210C2318yes—
215#13133209C2314yes—
216#13133209C2314yes—
217#13133209C2312yes—
218#13133209C2318yes—
219#13133209C2312yes—
220#13133208C2318yes—
221#13133208C2318yes—
222#13133208C2318yes—
223#13133208C2318yes—
224#13133208C2314yes—
225#13133207C2318yes—
226#13133207C2318yes—
227#13133207C2318yes—
228#13133207C2318yes—
229#13133207C2318yes—
230#13133207C2318yes—
231#13133207C2318yes—
232#13133207C2318yes—
233#13133207C2318yes—
234#13133207C2318yes—
235#13133207C2318yes—
236#13133205C2314yes—
237#13133204C2318yes—
238#13133204C2314yes—
239#13133203C2318yes—
240#13133203C2318yes—
241#13133202C2318yes—
242#13133201C2318yes—
243#13133200C2318yes—
244#13133199C2318yes—
245#13133199C2318yes—
246#13133199C2318yes—
247#13133199C2318yes—
248#13133199C2318yes—
249#13133199C2318yes—
250#13133198C2318yes—
251#13133198C2318yes—
252#13133198C2318yes—
253#13133198C2318yes—
254#13133197C2314yes—
255#13133197C2314yes—
256#13133196C2314yes—
257#13133196C2314yes—
258#13133196C2314yes—
259#13133196C2314yes—
260#13133196C2314yes—
261#13133196C2314yes—
262#13133196C2314yes—
263#13133196C2318yes—
264#13133195C2318yes—
265#13133195C2318yes—
266#13133195C2318yes—
267#13133195C2318yes—
268#13133194C2318yes—
269#13133194C2318yes—
270#13133194C2318yes—
271#13133194C2318yes—
272#13133194C2318yes—
273#13133194C2318yes—
274#13133194C2318yes—
275#13133193C2318yes—
276#13133193C2318yes—
277#13133193C2314yes—
278#13133191C2314yes—
279#13133190C2318yes—
280#13133189C2318yes—
281#13133189C2318yes—
282#13133189C2318yes—
283#13133188C2318yes—
284#13133188C2318yes—
285#13133188C2314yes—
286#13133185C2318yes—
287Q8×Dic53C2318yes—
288Q8×Dic53C2314yes—
289C4×Dic106C2314yes—
290C4×Dic106C2312yes—
291C4×Dic106C2318yes—
292C4×Dic106C2318yes—
293C4×Dic106C2314yes—
294C4×Dic106C2312yes—
295C4×Dic106C2314yes—
296C4×Dic106C2318yes—
297C4×Dic106C2314yes—
298C4×Dic106C2312yes—
299C4×Dic106C2314yes—
300C4×Dic106C2314yes—
301C4×Dic106C2314yes—
302C4×Dic106C2312yes—
303#13133182C2318yes—
304#13133182C2318yes—
305#13133182C2314yes—
306#13133182C2318yes—
307#13133182C2318yes—
308#13133182C2314yes—
309#13133182C2314yes—
310#13133182C2314yes—
311C4×D212C2314yes—
312C4×D212C2312yes—
313C4×D212C2312yes—
314C4×D212C2312yes—
315C4×D212C2312yes—
316D4×Dic53C2318yes—
317D4×Dic53C2318yes—
318D4×Dic53C2318yes—
319D4×Dic53C2318yes—
320D4×Dic53C2314yes—
321#13133179C2314yes—
322#13133179C2314yes—
323C4×C22⋊D53C2314yes—
324C4×C22⋊D53C2318yes—
325C4×C22⋊D53C2318yes—
326C4×C22⋊D53C2314yes—
327C4×C22⋊D53C2314yes—
328C4×C22⋊D53C2318yes—
329C4×C22⋊D53C2314yes—
330#13133177C2318yes—
331#13133177C2318yes—
332#13133177C2318yes—
333#13133177C2318yes—
334#13133177C2314yes—
335#13133177C2314yes—
336#13133177C2318yes—
337#13133177C2314yes—
338#13133177C2314yes—
339#13133176C2318yes—
340#13133176C2312yes—
341#13133176C2312yes—
342#13133176C2314yes—
343#13133176C2312yes—
344#13133176C2311yescharacteristic
345#13133176C2311yescharacteristic
346#13133175C2318yes—
347#13133175C2318yes—
348#13133175C2314yes—
349#13133175C2314yes—
350#13133175C2314yes—
351#13133174C2318yes—
352#13133174C2318yes—
353#13133174C2312yes—
354#13133174C2312yes—
355#13133174C2312yes—
356#13133174C2312yes—
357#13133173C2318yes—
358#13133173C2318yes—
359#13133173C2318yes—
360#13133173C2318yes—
361#13133173C2314yes—
362#13133173C2318yes—
363#13133173C2314yes—
364#13133173C2318yes—
365C2×C4⋊Dic53C2314yes—
366C2×C4⋊Dic53C2314yes—
367C2×C4⋊Dic53C2312yes—
368C2×C4⋊Dic53C2312yes—
369C2×#11719919C2314yes—
370C2×#11719919C2318yes—
371C2×#11719919C2314yes—
372C2×#11719919C2314yes—
373C4⋊C4×D53C2318yes—
374C4⋊C4×D53C2318yes—
375C4⋊C4×D53C2314yes—
376C4⋊C4×D53C2318yes—
377C4⋊C4×D53C2314yes—
378C4⋊C4×D53C2314yes—
379C4⋊C4×D53C2318yes—
380C2×C22⋊Dic53C2312yes—
381C2×C22⋊Dic53C2314yes—
382C22⋊C4×D53C2318yes—
383C22⋊C4×D53C2314yes—
384C22⋊C4×D53C2314yes—
385C2×C4×Dic53C2312yes—
386C2×C4×Dic53C2314yes—
387C2×C4×Dic53C2318yes—
388C42×D53C2312yes—
389C42×D53C2312yes—
390C42×D53C2312yes—
391C42×D53C2312yes—
392C42×D53C2318yes—
393C2×#41×C53C2312yes—
394C23×C4×C53C2311yescharacteristic
395C4⋊Q8×C53C2311yescharacteristic
396C4⋊Q8×C53C2312yes—
397#127×C53C2311yescharacteristic
398#126×C53C2314yes—
399#126×C53C2314yes—
400#126×C53C2314yes—
401#126×C53C2314yes—
402#125×C53C2314yes—
403#125×C53C2314yes—
404#125×C53C2311yescharacteristic
405#125×C53C2311yescharacteristic
406#124×C53C2314yes—
407#124×C53C2314yes—
408#124×C53C2312yes—
409#123×C53C2314yes—
410#123×C53C2314yes—
411#123×C53C2314yes—
412#123×C53C2314yes—
413#123×C53C2314yes—
414C22⋊Q8×C53C2312yes—
415C22⋊Q8×C53C2312yes—
416C22⋊Q8×C53C2314yes—
417C22⋊Q8×C53C2314yes—
418C22⋊Q8×C53C2314yes—
419#121×C53C2314yes—
420#121×C53C2312yes—
421#121×C53C2312yes—
422#121×C53C2314yes—
423#121×C53C2314yes—
424#120×C53C2314yes—
425C4×Q8×C53C2312yes—
426C4×Q8×C53C2312yes—
427C4×Q8×C53C2314yes—
428C4×D4×C53C2314yes—
429C4×D4×C53C2314yes—
430C4×D4×C53C2314yes—
431C4×D4×C53C2314yes—
432C4×D4×C53C2314yes—
433C4×D4×C53C2312yes—
434C4×D4×C53C2312yes—
435#117×C53C2312yes—
436#117×C53C2312yes—
437#117×C53C2311yescharacteristic
438#117×C53C2311yescharacteristic
439#117×C53C2311yescharacteristic
440#117×C53C2311yescharacteristic
441#117×C53C2312yes—
442#117×C53C2314yes—
443C2×C4⋊C4×C53C2312yes—
444C2×C22⋊C4×C53C2312yes—
445C2×C42×C53C2311yescharacteristic
446C2×C42×C53C2311yescharacteristic
447C2×C42×C53C2314yes—
448C24×C53C2411yescharacteristic
449C23×D53C2412yes—
450#41×C53—28no—
451C2×Q8×C53C2412yes—
452C2×Q8×C53C2414yes—
453C2×D4×C53C2414yes—
454C2×D4×C53C2412yes—
455C2×D4×C53C2414yes—
456C2×D4×C53C2414yes—
457C2×D4×C53C2414yes—
458C22×C4×C53—24no—
459C22×C4×C53C2414yes—
460C22×C4×C53C2411yescharacteristic
461C22×C4×C53C2411yescharacteristic
462C22×C4×C53C2411yescharacteristic
463C22×C4×C53C2411yescharacteristic
464C22×C4×C53C2411yescharacteristic
465C22×C4×C53C2412yes—
466C22×C4×C53C2412yes—
467C22×C4×C53C2414yes—
468C22×C4×C53C2414yes—
469C22×C4×C53C2411yescharacteristic
470C2×C22⋊D53—28no—
471C2×C22⋊D53C2412yes—
472C2×C22⋊D53C2412yes—
473C2×C22⋊D53C2418yes—
474C2×C22⋊D53C2412yes—
475C2×C22⋊D53C2418yes—
476C2×C22⋊D53C2412yes—
477C22×Dic53C2414yes—
478C22×Dic53C2418yes—
479C22×Dic53C2412yes—
480C22×Dic53C2414yes—
481C22×Dic53C2414yes—
482C22×Dic53C2418yes—
483Q8×D53—216no—
484#11719947—232no—
485#11719947—216no—
486#11719945—24no—
487#11719945—28no—
488#11719945—24no—
489#11719945—216no—
490#11719945—28no—
491#11719945—24no—
492#11719945#4118yes—
493C2×D212—24no—
494C2×D212C2412yes—
495C2×D212C2411yescharacteristic
496C2×D212C2411yescharacteristic
497C2×C4×D53—28no—
498C2×C4×D53C2412yes—
499C2×C4×D53C2418yes—
500C2×C4×D53C2412yes—
501C2×C4×D53C2412yes—
502C2×C4×D53C2414yes—
503C2×C4×D53C2418yes—
504C2×C4×D53C2414yes—
505C2×C4×D53C2414yes—
506C2×C4×D53C2414yes—
507C2×C4×D53C2412yes—
508C2×Dic106—28no—
509C2×Dic106—24no—
510C2×Dic106—216no—
511C2×Dic106C2412yes—
512C2×Dic106C2418yes—
513C2×Dic106C2414yes—
514C2×Dic106C2414yes—
515C2×Dic106C2411yescharacteristic
516C2×Dic106C2418yes—
517C2×Dic106C2411yescharacteristic
518C4⋊C4×C53C2412yes—
519C4⋊C4×C53C2412yes—
520C4⋊C4×C53C2412yes—
521C4⋊C4×C53C2412yes—
522C4⋊C4×C53C2412yes—
523C4⋊C4×C53C2412yes—
524C4⋊C4×C53C2414yes—
525C4⋊C4×C53C2414yes—
526C4⋊C4×C53C2414yes—
527C4⋊C4×C53C2414yes—
528C4⋊C4×C53C2414yes—
529C4⋊C4×C53C2414yes—
530C4⋊C4×C53C2414yes—
531C4⋊C4×C53C2414yes—
532C22⋊C4×C53C2412yes—
533C22⋊C4×C53C2412yes—
534C22⋊C4×C53C2412yes—
535C22⋊C4×C53C2412yes—
536C22⋊C4×C53C2414yes—
537C22⋊C4×C53C2414yes—
538C22⋊C4×C53C2414yes—
539C22⋊C4×C53C2414yes—
540C22⋊C4×C53C2414yes—
541C22⋊C4×C53C2414yes—
542C22⋊C4×C53C2414yes—
543C22⋊C4×C53C2414yes—
544C22⋊C4×C53C2414yes—
545C42×C53C2412yes—
546C42×C53C2411yescharacteristic
547C42×C53C2411yescharacteristic
548C42×C53C2412yes—
549C42×C53C2414yes—
550C42×C53C2411yescharacteristic
551C42×C53C2411yescharacteristic
552C42×C53C2414yes—
553C42×C53C2414yes—
554C22⋊Dic53C2414yes—
555C22⋊Dic53C2418yes—
556C22⋊Dic53C2412yes—
557C22⋊Dic53C2418yes—
558C22⋊Dic53C2412yes—
559C22⋊Dic53C2418yes—
560C22⋊Dic53C2418yes—
561C22⋊Dic53C2418yes—
562C22⋊Dic53C2418yes—
563#11719921C2414yes—
564#11719921C2414yes—
565#11719921C2414yes—
566#11719921C2414yes—
567#11719921C2418yes—
568#11719921C2418yes—
569#11719921C2418yes—
570#11719921C2418yes—
571C4⋊Dic53C2414yes—
572C4⋊Dic53C2414yes—
573C4⋊Dic53C2418yes—
574C4⋊Dic53C2418yes—
575C4⋊Dic53C2418yes—
576C4⋊Dic53C2418yes—
577C4⋊Dic53C2412yes—
578C4⋊Dic53C2414yes—
579C4⋊Dic53C2418yes—
580C4⋊Dic53C2412yes—
581C4⋊Dic53C2418yes—
582#11719919C2414yes—
583#11719919C2418yes—
584#11719919C2418yes—
585#11719919C2418yes—
586#11719919C2418yes—
587#11719919C2418yes—
588#11719919C2414yes—
589#11719919C2414yes—
590#11719919C2414yes—
591#11719919C2418yes—
592#11719919C2418yes—
593#11719919C2418yes—
594#11719919C2418yes—
595#11719919C2418yes—
596#11719919C2418yes—
597#11719919C2418yes—
598#11719919C2418yes—
599#11719919C2418yes—
600C4×Dic53C2412yes—
601C4×Dic53C2412yes—
602C4×Dic53C2414yes—
603C4×Dic53C2418yes—
604C4×Dic53C2414yes—
605C4×Dic53C2418yes—
606C4×Dic53C2418yes—
607C4×Dic53C2414yes—
608C4×Dic53C2414yes—
609C4×Dic53C2418yes—
610C4×Dic53C2414yes—
611C4×Dic53C2418yes—
612C4×Dic53C2418yes—
613C23×C53—22no—
614C23×C53—42no—
615C23×C53C2514yes—
616C23×C53C2511yescharacteristic
617C23×C53C2511yescharacteristic
618C23×C53C2511yescharacteristic
619C22×D53—24no—
620C22×D53—44no—
621C22×D53C2512yes—
622C22×D53C2512yes—
623Q8×C53—24no—
624Q8×C53—44no—
625D4×C53—28no—
626D4×C53—24no—
627D4×C53—44no—
628D4×C53—44no—
629D4×C53—44no—
630C2×C4×C53—22no—
631C2×C4×C53—22no—
632C2×C4×C53—28no—
633C2×C4×C53—22no—
634C2×C4×C53—22no—
635C2×C4×C53—22no—
636C2×C4×C53—44no—
637C2×C4×C53—42no—
638C2×C4×C53—44no—
639C2×C4×C53—42no—
640C2×C4×C53C2×#4114yes—
641C2×C4×C53C2514yes—
642C2×C4×C53C2511yescharacteristic
643C2×C4×C53C2514yes—
644C2×C4×C53C2511yescharacteristic
645C2×C4×C53C2512yes—
646C2×C4×C53C2512yes—
647C2×C4×C53C2512yes—
648C2×C4×C53C2514yes—
649C2×C4×C53C2512yes—
650C2×C4×C53C2511yescharacteristic
651C2×C4×C53C2511yescharacteristic
652C22⋊D53—24no—
653C22⋊D53—24no—
654C22⋊D53—216no—
655C22⋊D53—24no—
656C22⋊D53—48no—
657C22⋊D53C2×#4118yes—
658C2×Dic53—28no—
659C2×Dic53—24no—
660C2×Dic53—216no—
661C2×Dic53—44no—
662C2×Dic53—44no—
663C2×Dic53—48no—
664C2×Dic53C2518yes—
665C2×Dic53C2512yes—
666C2×Dic53C2514yes—
667C2×Dic53C2518yes—
668C2×Dic53C2514yes—
669C2×Dic53C2512yes—
670D212—24no—
671D212—22no—
672D212C2×#4114yes—
673C4×D53—24no—
674C4×D53—216no—
675C4×D53—24no—
676C4×D53—24no—
677C4×D53—44no—
678C4×D53—44no—
679C4×D53—48no—
680C4×D53—44no—
681C4×D53—44no—
682C4×D53C2×#4118yes—
683Dic106—28no—
684Dic106—22no—
685Dic106—28no—
686Dic106—24no—
687Dic106—216no—
688Dic106—48no—
689Dic106C2×#4114yes—
690#62861—531nomaximal, Sylow
691C22×C53—22no—
692C22×C53—24no—
693C22×C53—21no—
694C22×C53—21no—
695C22×C53—24no—
696C22×C53—22no—
697C22×C53—24no—
698C22×C53—22no—
699C22×C53—82no—
700C22×C53C22×#4112yes—
701C22×C53C2611yescharacteristic
702C2×D53—24no—
703C2×D53—22no—
704C2×D53—24no—
705C2×D53—84no—
706C2×D53C22×#4114yes—
707C4×C53—24no—
708C4×C53—21no—
709C4×C53—21no—
710C4×C53—24no—
711C4×C53—22no—
712C4×C53—22no—
713C4×C53—22no—
714C4×C53—24no—
715C4×C53—22no—
716C4×C53C22×#4112yes—
717C4×C53C22×#4112yes—
718Dic53—28no—
719Dic53—22no—
720Dic53—24no—
721Dic53—28no—
722Dic53—24no—
723Dic53C22×#4114yes—
724#3523—534no—
725#3521—538no—
726#3521—534no—
727#3516—534no—
728#3515—538no—
729#3515—534no—
730#3512—532no—
731#3512—531no—
732#3509—532no—
733#3509—531no—
734#3504—531no—
735#3499—531no—
736#3495—534no—
737#3495—532no—
738#3489—532no—
739#3461—534no—
740#3461—532no—
741#3455—532no—
742#3455D5311yescharacteristic, complemented
743C2×#541—532no—
744C2×#541—531no—
745C4×2−1+4—532no—
746#3428—531no—
747C2×C53—22no—
748C2×C53—41no—
749C2×C53—44no—
750C2×C53—41no—
751C2×C53C23×#4111yescharacteristic
752C2×C532−1+612yes—
753D53—24no—
754D53—42no—
755C2×2−1+4—532no—
756C22×#41—531no—
757#557—538no—
758#557—534no—
759#557—534no—
760#556—538no—
761#556—538no—
762#556—534no—
763#556—534no—
764#554—538no—
765#554—538no—
766#554—534no—
767#554—534no—
768#553—538no—
769#553—538no—
770#553—538no—
771#553—538no—
772#553—534no—
773#552—538no—
774#552—538no—
775#552—538no—
776#552—538no—
777#552—538no—
778#552—538no—
779#552—538no—
780#552—538no—
781#552—538no—
782#552—534no—
783#552—534no—
784#552—534no—
785#551—538no—
786#551—538no—
787#551—538no—
788D4×Q8—534no—
789D4×Q8—534no—
790#548—534no—
791#547—538no—
792#547—538no—
793#547—534no—
794#547—534no—
795#546—538no—
796#546—534no—
797#544—534no—
798#544—532no—
799#542—538no—
800#542—534no—
801#542—534no—
802#542—534no—
803#542C2×D5312yes—
804#542C2×D5312yescomplemented
805#541—532no—
806#541—538no—
807#541—538no—
808#541—532no—
809#541—538no—
810#541—532no—
811#541—534no—
812#541—534no—
813#541—532no—
814#541—532no—
815#541—532no—
816#541—532no—
817#541—534no—
818#541—534no—
819#541—534no—
820#541C2×D5311yescharacteristic
821#541C2×D5311yescharacteristic, complemented
822#540—532no—
823#540C2×D5311yescharacteristic
824#540C2×D5311yescharacteristic, complemented
825#539—538no—
826#539—538no—
827#539—538no—
828#539—538no—
829#539C2×D5314yescomplemented
830#538—538no—
831#538C2×D5314yes—
832#537—532no—
833#537—534no—
834#536—532no—
835#536—534no—
836#536—534no—
837#536—532no—
838#533—534no—
839#533—532no—
840#533—534no—
841#533—538no—
842#533—534no—
843#533—534no—
844#533C2×D5311yescharacteristic, complemented
845#532—532no—
846#532C2×D5311yescharacteristic, complemented
847C2×C4⋊Q8—532no—
848C2×C4⋊Q8—531no—
849#529—538no—
850#529—534no—
851#529—538no—
852#529—538no—
853#529—538no—
854#529—538no—
855#529—534no—
856#529—538no—
857#529—534no—
858#529—534no—
859#529C2×D5314yes—
860#529C2×D5314yescomplemented
861C2×#126—538no—
862C2×#126—534no—
863C2×#125—532no—
864C2×#125—538no—
865C2×#125—534no—
866C2×#125—531no—
867#525—534no—
868#525C2×D5312yes—
869C2×C22⋊Q8—532no—
870C2×C22⋊Q8—534no—
871#520—532no—
872#520—534no—
873#520—538no—
874#520—532no—
875#520—532no—
876#520—532no—
877#520—534no—
878#520—534no—
879#519—534no—
880#519—532no—
881#519—532no—
882#519—534no—
883#518—532no—
884#518—534no—
885C4×#41—534no—
886C4×#41—538no—
887C4×#41—532no—
888C4×#41—532no—
889C4×#41—531no—
890C4×#41—531no—
891C4×#41—531no—
892C4×#41—531no—
893C4×#41—534no—
894C4×#41C2×D5312yescomplemented
895C2×C4×Q8—534no—
896C2×C4×Q8—532no—
897C2×C4×Q8—534no—
898C2×#117—531no—
899C2×#117—532no—
900C2×#117—532no—
901C2×#117C2×D5311yescharacteristic
902C53#6286111yescharacteristic, complemented, Sylow
9032−1+4—10616no—
904C2×#41—534no—
905C2×#41—538no—
906C2×#41—531no—
907C2×#41—532no—
908C2×#41—531no—
909C2×#41—534no—
910C2×#41—531no—
911C2×#41—532no—
912C2×#41—531no—
913C2×#41—1068no—
914C2×#41C22×D5312yes—
915C22×Q8—534no—
916C22×Q8—532no—
917C22×Q8—534no—
918C22×Q8—531no—
919C22×D4—532no—
920C22×D4—531no—
921C23×C4—532no—
922C23×C4C22×D5311yescharacteristic
923C4⋊Q8—534no—
924C4⋊Q8—538no—
925C4⋊Q8—538no—
926C4⋊Q8—534no—
927C4⋊Q8—538no—
928C4⋊Q8—532no—
929C4⋊Q8—532no—
930C4⋊Q8—534no—
931C4⋊Q8—534no—
932C4⋊Q8—534no—
933C4⋊Q8C22×D5311yescharacteristic
934C4⋊Q8C22×D5312yes—
935#127C22×D5311yescharacteristic
936#126—538no—
937#126—538no—
938#126—538no—
939#126—538no—
940#126—538no—
941#126—538no—
942#126—538no—
943#126—538no—
944#126—538no—
945#126—538no—
946#126—538no—
947#126—538no—
948#126—538no—
949#126—538no—
950#126—538no—
951#126—538no—
952#126C22×D5314yes—
953#126C22×D5314yes—
954#126C22×D5314yes—
955#126C22×D5314yes—
956#125—538no—
957#125—534no—
958#125—538no—
959#125—538no—
960#125—538no—
961#125—538no—
962#125—538no—
963#125—538no—
964#125—538no—
965#125—538no—
966#125—538no—
967#125—538no—
968#125—538no—
969#125—538no—
970#125—538no—
971#125—538no—
972#125—532no—
973#125—532no—
974#125—538no—
975#125—534no—
976#125—534no—
977#125C22×D5314yes—
978#125C22×D5311yescharacteristic
979#125C22×D5314yes—
980#125C22×D5311yescharacteristic
981#124—534no—
982#124—538no—
983#124—538no—
984#124—538no—
985#124—534no—
986#124C22×D5314yes—
987#124C22×D5312yes—
988#124C22×D5314yes—
989#123—538no—
990#123—538no—
991#123—538no—
992#123—538no—
993#123—538no—
994#123—538no—
995#123—538no—
996#123—538no—
997#123—538no—
998#123—538no—
999#123—538no—
1000#123—538no—
1001#123—538no—
1002#123C22×D5314yes—
1003#123C22×D5314yes—
1004#123C22×D5314yes—
1005#123C22×D5314yes—
1006#123C22×D5314yes—
1007C22⋊Q8—534no—
1008C22⋊Q8—538no—
1009C22⋊Q8—538no—
1010C22⋊Q8—534no—
1011C22⋊Q8—534no—
1012C22⋊Q8—534no—
1013C22⋊Q8—534no—
1014C22⋊Q8—538no—
1015C22⋊Q8—534no—
1016C22⋊Q8—534no—
1017C22⋊Q8—534no—
1018C22⋊Q8—534no—
1019C22⋊Q8—538no—
1020C22⋊Q8—534no—
1021C22⋊Q8—538no—
1022C22⋊Q8—538no—
1023C22⋊Q8—538no—
1024C22⋊Q8—538no—
1025C22⋊Q8—538no—
1026C22⋊Q8—538no—
1027C22⋊Q8—538no—
1028C22⋊Q8—538no—
1029C22⋊Q8—538no—
1030C22⋊Q8—538no—
1031C22⋊Q8C22×D5312yes—
1032C22⋊Q8C22×D5312yes—
1033C22⋊Q8C22×D5314yes—
1034C22⋊Q8C22×D5314yes—
1035C22⋊Q8C22×D5314yes—
1036#121—534no—
1037#121—538no—
1038#121—538no—
1039#121—538no—
1040#121—538no—
1041#121—538no—
1042#121—534no—
1043#121—538no—
1044#121C22×D5312yes—
1045#121C22×D5312yes—
1046#121C22×D5314yes—
1047#121C22×D5314yes—
1048#121C22×D5314yes—
1049#120—538no—
1050#120C22×D5314yes—
1051C4×Q8—534no—
1052C4×Q8—538no—
1053C4×Q8—538no—
1054C4×Q8—534no—
1055C4×Q8—534no—
1056C4×Q8—538no—
1057C4×Q8—534no—
1058C4×Q8—534no—
1059C4×Q8—538no—
1060C4×Q8—538no—
1061C4×Q8—532no—
1062C4×Q8—538no—
1063C4×Q8—534no—
1064C4×Q8—534no—
1065C4×Q8—534no—
1066C4×Q8—534no—
1067C4×Q8—534no—
1068C4×Q8—534no—
1069C4×Q8—538no—
1070C4×Q8—534no—
1071C4×Q8—532no—
1072C4×Q8—532no—
1073C4×Q8—532no—
1074C4×Q8—538no—
1075C4×Q8C22×D5312yes—
1076C4×Q8C22×D5312yes—
1077C4×Q8C22×D5314yes—
1078C4×D4—534no—
1079C4×D4—538no—
1080C4×D4—538no—
1081C4×D4—538no—
1082C4×D4—538no—
1083C4×D4—534no—
1084C4×D4—538no—
1085C4×D4—534no—
1086C4×D4—534no—
1087C4×D4—534no—
1088C4×D4—538no—
1089C4×D4—538no—
1090C4×D4—534no—
1091C4×D4—534no—
1092C4×D4—534no—
1093C4×D4—534no—
1094C4×D4—534no—
1095C4×D4—534no—
1096C4×D4—538no—
1097C4×D4—538no—
1098C4×D4—538no—
1099C4×D4—538no—
1100C4×D4—538no—
1101C4×D4—532no—
1102C4×D4—532no—
1103C4×D4—532no—
1104C4×D4—532no—
1105C4×D4—534no—
1106C4×D4C22×D5314yes—
1107C4×D4C22×D5312yes—
1108C4×D4C22×D5314yes—
1109C4×D4C22×D5312yes—
1110C4×D4C22×D5314yes—
1111C4×D4C22×D5314yes—
1112C4×D4C22×D5314yes—
1113#117—532no—
1114#117—531no—
1115#117—531no—
1116#117—532no—
1117#117—532no—
1118#117—534no—
1119#117—538no—
1120#117—534no—
1121#117—534no—
1122#117—534no—
1123#117—538no—
1124#117—538no—
1125#117—534no—
1126#117—534no—
1127#117—538no—
1128#117—538no—
1129#117—538no—
1130#117—538no—
1131#117—538no—
1132#117—538no—
1133#117—532no—
1134#117—532no—
1135#117—532no—
1136#117—532no—
1137#117—538no—
1138#117—538no—
1139#117C22×D5311yescharacteristic
1140#117C22×D5311yescharacteristic
1141#117C22×D5311yescharacteristic
1142#117C22×D5311yescharacteristic
1143#117C22×D5312yes—
1144#117C22×D5312yes—
1145#117C22×D5312yes—
1146#117C22×D5314yes—
1147C2×C4⋊C4—532no—
1148C2×C4⋊C4—532no—
1149C2×C4⋊C4—534no—
1150C2×C4⋊C4—538no—
1151C2×C4⋊C4—534no—
1152C2×C4⋊C4—534no—
1153C2×C4⋊C4—534no—
1154C2×C4⋊C4—534no—
1155C2×C4⋊C4—534no—
1156C2×C4⋊C4—534no—
1157C2×C4⋊C4—534no—
1158C2×C4⋊C4—538no—
1159C2×C4⋊C4—538no—
1160C2×C4⋊C4—538no—
1161C2×C4⋊C4—538no—
1162C2×C4⋊C4C22×D5312yes—
1163C2×C22⋊C4—532no—
1164C2×C22⋊C4—534no—
1165C2×C22⋊C4—534no—
1166C2×C22⋊C4—534no—
1167C2×C22⋊C4—538no—
1168C2×C22⋊C4C22×D5312yes—
1169C2×C42—532no—
1170C2×C42—534no—
1171C2×C42—538no—
1172C2×C42—532no—
1173C2×C42—532no—
1174C2×C42—532no—
1175C2×C42—532no—
1176C2×C42—538no—
1177C2×C42C22×D5311yescharacteristic
1178C2×C42C22×D5311yescharacteristic
1179C2×C42C22×D5314yes—
1180C24—532no—
1181C24C23×D5311yescharacteristic
1182#41—28no—
1183#41—538no—
1184#41—1068no—
1185#41—1068no—
1186#41—1064no—
1187#41—10616no—
1188#41—1064no—
1189#41—10616no—
1190#41—10632no—
1191#41—1064no—
1192C2×Q8—531no—
1193C2×Q8—538no—
1194C2×Q8—534no—
1195C2×Q8—534no—
1196C2×Q8—532no—
1197C2×Q8—531no—
1198C2×Q8—538no—
1199C2×Q8—1064no—
1200C2×Q8—10616no—
1201C2×Q8—10616no—
1202C2×Q8—1068no—
1203C2×Q8C23×D5312yes—
1204C2×Q8C23×D5314yes—
1205C2×D4—532no—
1206C2×D4—538no—
1207C2×D4—532no—
1208C2×D4—532no—
1209C2×D4—532no—
1210C2×D4—538no—
1211C2×D4—531no—
1212C2×D4—532no—
1213C2×D4—531no—
1214C2×D4—1064no—
1215C2×D4—1068no—
1216C2×D4C23×D5314yes—
1217C2×D4C23×D5312yes—
1218C2×D4C23×D5314yes—
1219C2×D4C23×D5314yes—
1220C2×D4C23×D5314yes—
1221C22×C4—24no—
1222C22×C4—532no—
1223C22×C4—534no—
1224C22×C4—538no—
1225C22×C4—532no—
1226C22×C4—534no—
1227C22×C4—534no—
1228C22×C4—538no—
1229C22×C4—532no—
1230C22×C4—538no—
1231C22×C4—532no—
1232C22×C4—532no—
1233C22×C4—534no—
1234C22×C4—534no—
1235C22×C4—538no—
1236C22×C4—534no—
1237C22×C4—534no—
1238C22×C4—1068no—
1239C22×C4C23×D5311yescharacteristic
1240C22×C4C23×D5314yes—
1241C22×C4C23×D5311yescharacteristic
1242C22×C4C23×D5311yescharacteristic
1243C22×C4C23×D5311yescharacteristic
1244C22×C4C23×D5311yescharacteristic
1245C22×C4C23×D5312yes—
1246C22×C4C23×D5314yes—
1247C22×C4C23×D5312yes—
1248C22×C4C23×D5314yes—
1249C22×C4C23×D5311yescharacteristic
1250C4⋊C4—534no—
1251C4⋊C4—532no—
1252C4⋊C4—534no—
1253C4⋊C4—538no—
1254C4⋊C4—534no—
1255C4⋊C4—534no—
1256C4⋊C4—538no—
1257C4⋊C4—538no—
1258C4⋊C4—538no—
1259C4⋊C4—538no—
1260C4⋊C4—538no—
1261C4⋊C4—538no—
1262C4⋊C4—538no—
1263C4⋊C4—534no—
1264C4⋊C4—532no—
1265C4⋊C4—534no—
1266C4⋊C4—534no—
1267C4⋊C4—538no—
1268C4⋊C4—538no—
1269C4⋊C4—538no—
1270C4⋊C4—538no—
1271C4⋊C4—538no—
1272C4⋊C4—538no—
1273C4⋊C4—538no—
1274C4⋊C4—538no—
1275C4⋊C4—538no—
1276C4⋊C4—538no—
1277C4⋊C4—538no—
1278C4⋊C4—538no—
1279C4⋊C4C23×D5312yes—
1280C4⋊C4C23×D5312yes—
1281C4⋊C4C23×D5312yes—
1282C4⋊C4C23×D5314yes—
1283C4⋊C4C23×D5314yes—
1284C4⋊C4C23×D5314yes—
1285C4⋊C4C23×D5314yes—
1286C4⋊C4C23×D5312yes—
1287C4⋊C4C23×D5312yes—
1288C4⋊C4C23×D5312yes—
1289C4⋊C4C23×D5314yes—
1290C4⋊C4C23×D5314yes—
1291C4⋊C4C23×D5314yes—
1292C4⋊C4C23×D5314yes—
1293C22⋊C4—534no—
1294C22⋊C4—538no—
1295C22⋊C4—532no—
1296C22⋊C4—532no—
1297C22⋊C4—538no—
1298C22⋊C4—538no—
1299C22⋊C4—538no—
1300C22⋊C4—538no—
1301C22⋊C4—538no—
1302C22⋊C4—534no—
1303C22⋊C4—534no—
1304C22⋊C4—534no—
1305C22⋊C4—534no—
1306C22⋊C4—538no—
1307C22⋊C4—538no—
1308C22⋊C4—538no—
1309C22⋊C4—538no—
1310C22⋊C4C23×D5312yes—
1311C22⋊C4C23×D5312yes—
1312C22⋊C4C23×D5314yes—
1313C22⋊C4C23×D5312yes—
1314C22⋊C4C23×D5312yes—
1315C22⋊C4C23×D5314yes—
1316C22⋊C4C23×D5314yes—
1317C22⋊C4C23×D5314yes—
1318C22⋊C4C23×D5314yes—
1319C22⋊C4C23×D5314yes—
1320C22⋊C4C23×D5314yes—
1321C22⋊C4C23×D5314yes—
1322C22⋊C4C23×D5314yes—
1323C42—534no—
1324C42—532no—
1325C42—532no—
1326C42—538no—
1327C42—534no—
1328C42—538no—
1329C42—538no—
1330C42—534no—
1331C42—534no—
1332C42—538no—
1333C42—538no—
1334C42—534no—
1335C42—538no—
1336C42C23×D5311yescharacteristic
1337C42C23×D5311yescharacteristic
1338C42C23×D5311yescharacteristic
1339C42C23×D5311yescharacteristic
1340C42C23×D5314yes—
1341C42C23×D5312yes—
1342C42C23×D5314yes—
1343C42C23×D5312yes—
1344C42C23×D5314yes—
1345C23—22no—
1346C23—42no—
1347C23—532no—
1348C23—532no—
1349C23—1064no—
1350C23—2124no—
1351C23C24×D5311yescharacteristic
1352C23C24×D5311yescharacteristic
1353C23C24×D5314yes—
1354C23C24×D5311yescharacteristic
1355Q8—24no—
1356Q8—44no—
1357Q8—534no—
1358Q8—10616no—
1359Q8—1064no—
1360Q8—1068no—
1361Q8—1068no—
1362Q8—1062no—
1363Q8—2128no—
1364D4—28no—
1365D4—24no—
1366D4—44no—
1367D4—44no—
1368D4—44no—
1369D4—538no—
1370D4—534no—
1371D4—1064no—
1372D4—1064no—
1373D4—1064no—
1374D4—10616no—
1375D4—1064no—
1376D4—1062no—
1377D4—2128no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—28no—
1384C2×C4—42no—
1385C2×C4—44no—
1386C2×C4—44no—
1387C2×C4—42no—
1388C2×C4—532no—
1389C2×C4—538no—
1390C2×C4—534no—
1391C2×C4—534no—
1392C2×C4—538no—
1393C2×C4—538no—
1394C2×C4—532no—
1395C2×C4—1064no—
1396C2×C4—1064no—
1397C2×C4—10616no—
1398C2×C4—1064no—
1399C2×C4—10616no—
1400C2×C4—1068no—
1401C2×C4—1064no—
1402C2×C4—2124no—
1403C2×C4—2124no—
1404C2×C4—2124no—
1405C2×C4—2128no—
1406C2×C4—2124no—
1407C2×C4—2128no—
1408C2×C4—2124no—
1409C2×C4—2124no—
1410C2×C4#41×D5314yes—
1411C2×C4C24×D5312yes—
1412C2×C4C24×D5312yes—
1413C2×C4C24×D5314yes—
1414C2×C4C24×D5311yescharacteristic
1415C2×C4C24×D5312yes—
1416C2×C4C24×D5314yes—
1417C2×C4C24×D5314yes—
1418C2×C4C24×D5312yes—
1419C2×C4C24×D5311yescharacteristic
1420C2×C4C24×D5311yescharacteristic
1421C2×C4C24×D5311yescharacteristic
1422C22—22no—
1423C22—21no—
1424C22—21no—
1425C22—24no—
1426C22—24no—
1427C22—24no—
1428C22—22no—
1429C22—22no—
1430C22—82no—
1431C22—534no—
1432C22—1064no—
1433C22—1062no—
1434C22—1064no—
1435C22—4244no—
1436C22C2×#41×D5312yes—
1437C22C25×D5311yescharacteristic
1438C4—21no—
1439C4—21no—
1440C4—24no—
1441C4—22no—
1442C4—22no—
1443C4—22no—
1444C4—24no—
1445C4—22no—
1446C4—24no—
1447C4—534no—
1448C4—1062no—
1449C4—1068no—
1450C4—1064no—
1451C4—1068no—
1452C4—1064no—
1453C4C2×#41×D5312yes—
1454C4C2×#41×D5312yes—
1455C2—22no—
1456C2—41no—
1457C2—41no—
1458C2—44no—
1459C2—1064no—
1460C2—2122no—
1461C2C22×#41×D5311yescharacteristic
1462C2#2028952812yes—
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3455C2
hypercenter#3455D53
hypocenterC53#62861
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3455

Complements

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

NH ≅ G/Ntype
1. #20288809C2semidirect
2. #20288787C2semidirect
3. #20288779C2semidirect
4. #20288704C2semidirect
5. #20288695C2semidirect
6. #20288685C2semidirect
7. #20288635C2semidirect
8. #20288634C2semidirect
9. #20288602C2semidirect
10. #20288597C2semidirect
11. #20288536C2semidirect
12. #20288495C2semidirect
13. #20288469C2semidirect
14. #20288465C2semidirect
15. #20288387C2semidirect
16. #20288142C2semidirect
17. #20288141C2semidirect
18. #20288099C2semidirect
19. C2×#16811235C2semidirect
20. #541×D53C2semidirect
21. C4×#13133264C2semidirect
22. #20287916C2semidirect
23. C53×#3455C2semidirect
26. #16811352C22semidirect
27. #16811351C22semidirect
28. #16811350C22semidirect
29. #16811346C22semidirect
32. #16811340C22semidirect
33. #16811333C22semidirect
34. #16811330C22semidirect
35. #16811327C22semidirect
36. #16811327C22semidirect
37. #16811320C22semidirect
38. #16811319C22semidirect
39. #16811318C22semidirect
40. #16811316C22semidirect
41. #16811316C22semidirect
42. #16811315C22semidirect
44. #16811313C22semidirect
45. #16811313C22semidirect
47. #16811310C22semidirect
48. #16811310C22semidirect
49. #16811309C22semidirect
50. #16811309C22semidirect
51. #16811309C22semidirect
52. #16811307C22semidirect
53. #16811305C22semidirect
58. D4×Dic106C22semidirect
61. #16811278C22semidirect
62. #16811273C22semidirect
66. #16811251C22semidirect
67. #16811250C22semidirect
68. #16811244C22semidirect
70. #16811238C22semidirect
71. #16811237C22semidirect
72. #16811236C22semidirect
73. #16811236C22semidirect
77. #16811235C22semidirect
78. #16811235C22semidirect
79. #16811235C22semidirect
80. #16811235C22semidirect
81. #16811234C22semidirect
83. #16811232C22semidirect
84. #16811231C22semidirect
86. #16811230C22semidirect
87. #16811227C22semidirect
88. #16811219C22semidirect
89. #16811216C22semidirect
90. #16811216C22semidirect
91. #16811215C22semidirect
97. #16811194C22semidirect
98. #16811193C22semidirect
99. #16811180C22semidirect
100. #16811179C22semidirect
101. #16811178C22semidirect
102. #16811177C22semidirect
103. #16811175C22semidirect
104. #16811175C22semidirect
105. #16811171C22semidirect
106. C2×#13133217C22semidirect
107. C4⋊Q8×D53C22semidirect
108. #16811157C22semidirect
109. #16811156C22semidirect
110. #16811155C22semidirect
112. #16811154C22semidirect
113. #16811153C22semidirect
114. #16811152C22semidirect
115. #16811152C22semidirect
116. #16811150C22semidirect
117. #16811150C22semidirect
120. C2×#13133209C22semidirect
121. C2×#13133207C22semidirect
122. #125×D53C22semidirect
123. #125×D53C22semidirect
127. #16811106C22semidirect
132. #16811103C22semidirect
133. #16811102C22semidirect
134. #16811102C22semidirect
136. #16811100C22semidirect
137. #16811100C22semidirect
138. #16811099C22semidirect
145. C4×#11719945C22semidirect
148. C4×#11719947C22semidirect
149. C4×#11719947C22semidirect
150. C2×C4×Dic106C22semidirect
151. C2×C4×Dic106C22semidirect
152. C4×Q8×D53C22semidirect
157. C53×#542C22semidirect
159. C53×#541C22semidirect
161. C53×#540C22semidirect
162. C53×#539C22semidirect
164. C53×#533C22semidirect
165. C53×#532C22semidirect
167. C53×#529C22semidirect
169. C4×#41×C53C22semidirect
742. #3455D53semidirect
804. #542C2×D53semidirect
821. #541C2×D53semidirect
824. #540C2×D53semidirect
829. #539C2×D53semidirect
844. #533C2×D53semidirect
846. #532C2×D53semidirect
860. #529C2×D53semidirect
894. C4×#41C2×D53semidirect
902. C53#62861semidirect

Maximal subgroups

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

subgroupindex
#202888092
#202887872
#202887792
#202887042
#202886952
#202886852
#202886352
#202886342
#202886022
#202885972
#202885362
#202884952
#202884692
#202884652
#202883872
#202881422
#202881412
#202880992
C2×#168112352
#541×D532
C4×#131332642
#202879162
C53×#34552
#6286153