Finite Group Databasebeta

← #28293157

Subgroups — #28293157

Order 13568.

7106 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#20288790C214yesmaximal, complemented
2#20288778C214yesmaximal, complemented
3#20288767C214yesmaximal, complemented
4#20288760C214yesmaximal, complemented
5#20288696C214yesmaximal, complemented
6#20288689C214yesmaximal, complemented
7#20288662C214yesmaximal, complemented
8#20288650C214yesmaximal, complemented
9#20288573C212yesmaximal, complemented
10#20288543C214yesmaximal, complemented
11#20288517C211yesmaximal, characteristic, complemented
12#20288478C211yesmaximal, characteristic, complemented
13#20288424C211yesmaximal, characteristic, complemented
14#20288409C214yesmaximal, complemented
15#20288357C212yesmaximal, complemented
16#20288149C211yesmaximal, characteristic, complemented
17#20288143C211yesmaximal, characteristic, complemented
18#20288122C214yesmaximal, complemented
19#20288103C212yesmaximal, complemented
20#539×D53C214yesmaximal, complemented
21#20287921C212yesmaximal, complemented
22C2×#16811104C211yesmaximal, characteristic, complemented
23C53×#3492C211yesmaximal, characteristic, complemented
24C2×#13133263C2212yes—
25C22×#11719945C2211yescharacteristic
26#16811356C2214yescomplemented
27#16811351C2214yescomplemented
28#16811345C2214yescomplemented
29#16811343C2214yescomplemented
30#16811341C2214yescomplemented
31#16811334C2214yescomplemented
32#16811329C2214yescomplemented
33#16811329C2214yescomplemented
34#16811328C2214yescomplemented
35#16811328C2214yescomplemented
36#16811323C2218yescomplemented
37#16811321C2214yescomplemented
38#16811320C2214yescomplemented
39#16811318C2218yescomplemented
40#16811317C2214yescomplemented
41#16811312C2214yescomplemented
42#16811312C2214yescomplemented
43#16811311C2218yescomplemented
44#16811309C2218yescomplemented
45#16811308C2214yescomplemented
46#16811308C2214yescomplemented
47#16811307C2214yescomplemented
48#16811307C2218yescomplemented
49#16811305C2218yescomplemented
50#16811302C2218yescomplemented
51#16811301C2218yescomplemented
52#16811301C2218yescomplemented
53#16811300C2218yescomplemented
54#16811298C2218yescomplemented
55#16811296C2218yescomplemented
56#16811288C2214yescomplemented
57#16811283C2214yescomplemented
58#16811280C2214yescomplemented
59#16811278C2214yescomplemented
60#16811278C2214yescomplemented
61#16811275C2214yescomplemented
62#16811275C2214yescomplemented
63#16811275C2214yescomplemented
64#16811274C2214yescomplemented
65#16811270C2214yescomplemented
66#16811270C2214yescomplemented
67#16811270C2214yescomplemented
68#16811270C2214yescomplemented
69#16811269C2214yescomplemented
70#16811269C2214yescomplemented
71#16811264C2214yescomplemented
72#16811261C2214yescomplemented
73#16811257C2214yescomplemented
74#16811254C2211yescharacteristic, complemented
75#16811248C2214yescomplemented
76#16811247C2214yescomplemented
77#16811246C2212yescomplemented
78#16811246C2212yescomplemented
79#16811240C2212yescomplemented
80#16811240C2212yescomplemented
81#16811240C2214yescomplemented
82#16811236C2214yescomplemented
83#16811233C2214yescomplemented
84#16811233C2212yescomplemented
85#16811233C2212yescomplemented
86#16811226C2212yescomplemented
87#16811226C2212yescomplemented
88#16811222C2214yescomplemented
89#16811221C2218yescomplemented
90#16811220C2214yescomplemented
91#16811219C2218yescomplemented
92#16811219C2218yescomplemented
93#16811218C2214yescomplemented
94#16811217C2214yescomplemented
95#16811217C2214yescomplemented
96#16811216C2218yescomplemented
97#16811216C2218yescomplemented
98#16811215C2218yescomplemented
99#16811214C2218yescomplemented
100#16811209C2218yescomplemented
101#16811208C2214yescomplemented
102#16811208C2214yescomplemented
103#16811205C2218yescomplemented
104#16811204C2211yescharacteristic
105#16811199C2212yescomplemented
106#16811194C2212yescomplemented
107#16811183C2218yescomplemented
108#16811181C2214yes—
109#16811178C2214yescomplemented
110#16811176C2212yescomplemented
111#16811175C2214yescomplemented
112#16811169C2212yes—
113#16811159C2214yescomplemented
114#16811158C2214yescomplemented
115#16811155C2218yescomplemented
116#16811155C2214yescomplemented
117#16811155C2214yescomplemented
118#16811154C2214yescomplemented
119#16811154C2214yescomplemented
120#16811153C2214yescomplemented
121#16811153C2218yescomplemented
122#16811153C2214yescomplemented
123#16811151C2218yescomplemented
124#126×D53C2218yescomplemented
125#125×D53C2218yescomplemented
126#16811134C2214yescomplemented
127#16811134C2212yescomplemented
128#16811132C2218yescomplemented
129#16811130C2218yescomplemented
130#123×D53C2218yescomplemented
131#123×D53C2218yescomplemented
132C22⋊Q8×D53C2214yescomplemented
133C22⋊Q8×D53C2218yescomplemented
134#121×D53C2214yes—
135#16811105C2214yescomplemented
136#16811104C2214yescomplemented
137#16811104C2214yescomplemented
138#16811104C2212yescomplemented
139#16811104C2214yescomplemented
140#16811104C2214yescomplemented
141#16811104C2214yescomplemented
142#16811097C2212yes—
143#16811097C2214yescomplemented
144#16811095C2214yescomplemented
145#16811095C2218yescomplemented
146#41×Dic53C2212yescomplemented
147C4×#11719949C2214yescomplemented
148#16811091C2214yescomplemented
149#16811091C2212yescomplemented
150C2×#13133182C2211yescharacteristic, complemented
151C2×#13133182C2211yescharacteristic, complemented
152C2×#13133179C2211yescharacteristic
153C2×#13133179C2211yescharacteristic
154C2×#13133179C2214yescomplemented
155C2×C4×C22⋊D53C2212yescomplemented
156C2×C4×C22⋊D53C2212yescomplemented
157C4×D4×D53C2218yescomplemented
158C4×D4×D53C2214yescomplemented
159C2×#13133176C2211yescharacteristic, complemented
160C2×#13133175C2212yescomplemented
161C2×C4⋊C4×D53C2212yescomplemented
162C53×#554C2214yescomplemented
163C53×#553C2214yescomplemented
164C53×#552C2214yescomplemented
165C53×#547C2214yescomplemented
166C53×#544C2211yescharacteristic, complemented
167C53×#539C2214yescomplemented
168C53×#537C2211yescharacteristic
169C53×#525C2214yescomplemented
170C53×#525C2212yescomplemented
171C53×#520C2212yescomplemented
172C22×C4⋊C4×C53C2211yescharacteristic, complemented
173#13133263—216no—
174C2×#11719949C2314yes—
175C2×#11719945—28no—
176C2×#11719945C2314yes—
177C2×#11719945C2314yes—
178C2×#11719945C2314yes—
179C2×#11719945C2312yes—
180C2×#11719945C2314yes—
181C22×Dic106C2311yescharacteristic
182C2×Q8×D53C2314yes—
183C22×D212C2314yes—
184C22×D212C2311yescharacteristic
185C22×C22⋊D53C2312yes—
186C2×D4×D53C2314yes—
187C2×D4×D53C2318yes—
188C2×D4×D53C2314yes—
189C22×C4×D53C2312yes—
190C22×C4×D53C2312yes—
191C22×C4×D53C2312yes—
192C22×C4×D53C2318yes—
193#13133217C2314yes—
194#13133216C2314yes—
195#13133216C2312yes—
196#13133216C2312yes—
197#13133215C2314yes—
198#13133215C2312yes—
199#13133213C2312yes—
200#13133212C2318yes—
201#13133212C2318yes—
202#13133212C2314yes—
203#13133212C2318yes—
204#13133212C2314yes—
205#13133212C2318yes—
206#13133211C2318yes—
207#13133210C2318yes—
208#13133210C2314yes—
209#13133210C2318yes—
210#13133210C2318yes—
211#13133210C2314yes—
212#13133210C2314yes—
213#13133210C2314yes—
214#13133210C2318yes—
215#13133210C2314yes—
216#13133210C2314yes—
217#13133209C2318yes—
218#13133208C2314yes—
219#13133208C2314yes—
220#13133208C2312yes—
221#13133208C2314yes—
222#13133208C2314yes—
223#13133208C2312yes—
224#13133208C2314yes—
225#13133208C2318yes—
226#13133207C2314yes—
227#13133207C2318yes—
228#13133207C2318yes—
229#13133207C2318yes—
230#13133207C2314yes—
231#13133207C2318yes—
232#13133206C2312yes—
233#13133206C2314yes—
234#13133205C2314yes—
235#13133204C2312yes—
236#13133204C2314yes—
237#13133204C2314yes—
238#13133204C2314yes—
239#13133204C2314yes—
240#13133203C2314yes—
241#13133203C2318yes—
242#13133203C2314yes—
243#13133202C2318yes—
244#13133202C2318yes—
245#13133202C2318yes—
246#13133202C2318yes—
247#13133202C2318yes—
248#13133201C2314yes—
249#13133201C2314yes—
250#13133201C2318yes—
251#13133200C2318yes—
252#13133200C2318yes—
253#13133200C2314yes—
254#13133199C2318yes—
255#13133199C2318yes—
256#13133199C2318yes—
257#13133199C2318yes—
258#13133199C2318yes—
259#13133199C2318yes—
260#13133199C2314yes—
261#13133199C2314yes—
262#13133199C2314yes—
263#13133199C2314yes—
264#13133198C2314yes—
265#13133198C2318yes—
266#13133198C2318yes—
267#13133198C2314yes—
268#13133197C2314yes—
269#13133197C2314yes—
270#13133197C2314yes—
271#13133197C2314yes—
272#13133197C2318yes—
273#13133197C2314yes—
274#13133197C2314yes—
275#13133196C2314yes—
276#13133196C2314yes—
277#13133196C2312yes—
278#13133196C2312yes—
279#13133196C2318yes—
280#13133196C2314yes—
281#13133196C2314yes—
282#13133195C2318yes—
283#13133195C2318yes—
284#13133195C2318yes—
285#13133195C2318yes—
286#13133195C2318yes—
287#13133194C2314yes—
288#13133194C2314yes—
289#13133194C2314yes—
290#13133194C2318yes—
291#13133194C2314yes—
292#13133193C2318yes—
293#13133193C2314yes—
294#13133193C2318yes—
295#13133192C2314yes—
296#13133192C2314yes—
297#13133191C2312yes—
298#13133191C2312yes—
299#13133191C2314yes—
300#13133191C2314yes—
301#13133190C2318yes—
302#13133190C2318yes—
303#13133190C2318yes—
304#13133189C2314yes—
305#13133189C2314yes—
306#13133189C2314yes—
307#13133189C2314yes—
308#13133188C2314yes—
309#13133188C2314yes—
310#13133188C2318yes—
311#13133188C2318yes—
312#13133188C2314yes—
313#13133187C2318yes—
314#13133186C2314yes—
315#13133185C2318yes—
316#13133185C2318yes—
317#13133185C2318yes—
318Q8×Dic53C2314yes—
319Q8×Dic53C2312yes—
320Q8×Dic53C2312yes—
321C4×Dic106C2314yes—
322C4×Dic106C2318yes—
323C4×Dic106C2314yes—
324#13133182C2314yes—
325#13133182C2314yes—
326#13133182C2314yes—
327#13133182C2314yes—
328#13133182C2314yes—
329#13133182C2314yes—
330#13133182C2312yes—
331#13133182C2312yes—
332C4×D212C2314yes—
333C4×D212C2314yes—
334C4×D212C2318yes—
335C4×D212C2318yes—
336D4×Dic53C2314yes—
337D4×Dic53C2314yes—
338D4×Dic53C2312yes—
339D4×Dic53C2314yes—
340D4×Dic53C2312yes—
341#13133179C2314yes—
342#13133179C2314yes—
343#13133179C2314yes—
344#13133179C2314yes—
345#13133179C2314yes—
346#13133179C2314yes—
347#13133179C2318yes—
348#13133179C2314yes—
349#13133179C2318yes—
350#13133179C2314yes—
351#13133179C2312yes—
352#13133179C2312yes—
353C4×C22⋊D53C2314yes—
354C4×C22⋊D53C2314yes—
355C4×C22⋊D53C2314yes—
356C4×C22⋊D53C2314yes—
357C4×C22⋊D53C2314yes—
358C4×C22⋊D53C2314yes—
359C4×C22⋊D53C2318yes—
360C4×C22⋊D53C2314yes—
361C4×C22⋊D53C2318yes—
362C4×C22⋊D53C2318yes—
363C4×C22⋊D53C2314yes—
364C4×C22⋊D53C2318yes—
365C4×C22⋊D53C2318yes—
366C4×C22⋊D53C2318yes—
367C4×C22⋊D53C2318yes—
368#13133177C2318yes—
369#13133177C2318yes—
370#13133177C2314yes—
371#13133177C2314yes—
372#13133176C2318yes—
373#13133176C2314yes—
374#13133176C2312yes—
375#13133176C2312yes—
376#13133176C2312yes—
377#13133176C2312yes—
378#13133176C2312yes—
379#13133176C2314yes—
380#13133175C2318yes—
381#13133175C2318yes—
382#13133175C2318yes—
383#13133175C2318yes—
384#13133175C2314yes—
385#13133174C2318yes—
386#13133174C2318yes—
387#13133174C2314yes—
388#13133173C2318yes—
389C2×C4⋊Dic53C2311yescharacteristic
390C2×C4⋊Dic53C2311yescharacteristic
391C2×#11719919C2312yes—
392C2×#11719919C2312yes—
393C4⋊C4×D53C2314yes—
394C4⋊C4×D53C2314yes—
395C4⋊C4×D53C2318yes—
396C4⋊C4×D53C2318yes—
397C4⋊C4×D53C2314yes—
398C4⋊C4×D53C2318yes—
399C4⋊C4×D53C2318yes—
400C4⋊C4×D53C2318yes—
401C4⋊C4×D53C2318yes—
402C2×C22⋊Dic53C2311yescharacteristic
403C2×C22⋊Dic53C2311yescharacteristic
404C2×#11719921C2318yes—
405C2×#11719921C2312yes—
406C2×#11719921C2312yes—
407C22⋊C4×D53C2318yes—
408C22⋊C4×D53C2318yes—
409C22⋊C4×D53C2318yes—
410C22⋊C4×D53C2318yes—
411C22⋊C4×D53C2318yes—
412C22⋊C4×D53C2318yes—
413C2×C4×Dic53C2312yes—
414C2×C4×Dic53C2312yes—
415C2×C4×Dic53C2311yescharacteristic
416C2×C4×Dic53C2311yescharacteristic
417C2×C4×Dic53C2314yes—
418C42×D53C2318yes—
419C42×D53C2314yes—
420C2×#41×C53C2312yes—
421C2×#41×C53C2314yes—
422C23×C4×C53C2311yescharacteristic
423C23×C4×C53C2312yes—
424C4⋊Q8×C53C2314yes—
425#126×C53C2318yes—
426#125×C53C2318yes—
427#125×C53C2314yes—
428#123×C53C2318yes—
429#123×C53C2318yes—
430#123×C53C2314yes—
431C22⋊Q8×C53C2314yes—
432C22⋊Q8×C53C2312yes—
433C22⋊Q8×C53C2312yes—
434C22⋊Q8×C53C2314yes—
435C22⋊Q8×C53C2318yes—
436C22⋊Q8×C53C2314yes—
437#121×C53C2312yes—
438#121×C53C2312yes—
439#121×C53C2314yes—
440#121×C53C2314yes—
441#121×C53C2314yes—
442#120×C53C2314yes—
443C4×Q8×C53C2314yes—
444C4×D4×C53C2314yes—
445C4×D4×C53C2314yes—
446C4×D4×C53C2318yes—
447C4×D4×C53C2314yes—
448C4×D4×C53C2318yes—
449#117×C53C2312yes—
450#117×C53C2314yes—
451#117×C53C2314yes—
452C2×C4⋊C4×C53C2314yes—
453C2×C4⋊C4×C53C2311yescharacteristic
454C2×C4⋊C4×C53C2311yescharacteristic
455C2×C4⋊C4×C53C2312yes—
456C2×C4⋊C4×C53C2314yes—
457C2×C4⋊C4×C53C2314yes—
458C24×C53C2411yescharacteristic
459C23×D53C2418yes—
460C23×D53C2412yes—
461#41×C53—28no—
462#41×C53—84no—
463C2×Q8×C53C2412yes—
464C2×Q8×C53C2414yes—
465C2×D4×C53C2414yes—
466C2×D4×C53C2412yes—
467C2×D4×C53C2414yes—
468C2×D4×C53C2414yes—
469C2×D4×C53C2414yes—
470C22×C4×C53—24no—
471C22×C4×C53—82no—
472C22×C4×C53C2412yes—
473C22×C4×C53C2412yes—
474C22×C4×C53C2411yescharacteristic
475C22×C4×C53C2414yes—
476C22×C4×C53C2414yes—
477C22×C4×C53C2412yes—
478C22×C4×C53C2414yes—
479C22×C4×C53C2412yes—
480C22×C4×C53C2418yes—
481C22×C4×C53C2411yescharacteristic
482C2×C22⋊D53—28no—
483C2×C22⋊D53C2418yes—
484C2×C22⋊D53C2414yes—
485C2×C22⋊D53C2414yes—
486C2×C22⋊D53C2414yes—
487C2×C22⋊D53C2414yes—
488C2×C22⋊D53C2414yes—
489C2×C22⋊D53C2414yes—
490C2×C22⋊D53C2414yes—
491C22×Dic53C2412yes—
492C22×Dic53C2411yescharacteristic
493C22×Dic53C2411yescharacteristic
494C22×Dic53C2414yes—
495C22×Dic53C2411yescharacteristic
496C22×Dic53C2411yescharacteristic
497C22×Dic53C2414yes—
498#11719949—216no—
499Q8×D53—84no—
500D4×D53—232no—
501D4×D53—216no—
502D4×D53—84no—
503#11719945—28no—
504#11719945—216no—
505#11719945—216no—
506#11719945—216no—
507#11719945—84no—
508C2×D212—216no—
509C2×D212#4118yescomplemented
510C2×D212C2412yes—
511C2×D212C2418yes—
512C2×D212C2414yes—
513C2×D212C2414yes—
514C2×C4×D53—28no—
515C2×C4×D53—82no—
516C2×C4×D53—88no—
517C2×C4×D53—82no—
518C2×C4×D53C2418yes—
519C2×C4×D53C2414yes—
520C2×C4×D53C2418yes—
521C2×C4×D53C2418yes—
522C2×C4×D53C2414yes—
523C2×C4×D53C2418yes—
524C2×C4×D53C2414yes—
525C2×C4×D53C2414yes—
526C2×C4×D53C2418yes—
527C2×C4×D53C2418yes—
528C2×C4×D53C2414yes—
529C2×Dic106—24no—
530C2×Dic106C2414yes—
531C2×Dic106C2412yes—
532C2×Dic106C2414yes—
533C2×Dic106C2414yes—
534C2×Dic106C2414yes—
535C4⋊C4×C53C2414yes—
536C4⋊C4×C53C2414yes—
537C4⋊C4×C53C2418yes—
538C4⋊C4×C53C2412yes—
539C4⋊C4×C53C2418yes—
540C4⋊C4×C53C2412yes—
541C4⋊C4×C53C2414yes—
542C4⋊C4×C53C2414yes—
543C4⋊C4×C53C2414yes—
544C4⋊C4×C53C2418yes—
545C4⋊C4×C53C2414yes—
546C22⋊C4×C53C2414yes—
547C22⋊C4×C53C2414yes—
548C22⋊C4×C53C2418yes—
549C22⋊C4×C53C2414yes—
550C22⋊C4×C53C2418yes—
551C22⋊C4×C53C2414yes—
552C22⋊C4×C53C2414yes—
553C42×C53C2418yes—
554C42×C53C2414yes—
555C22⋊Dic53C2414yes—
556C22⋊Dic53C2414yes—
557C22⋊Dic53C2414yes—
558C22⋊Dic53C2414yes—
559C22⋊Dic53C2418yes—
560C22⋊Dic53C2418yes—
561C22⋊Dic53C2411yescharacteristic
562C22⋊Dic53C2412yes—
563C22⋊Dic53C2411yescharacteristic
564C22⋊Dic53C2412yes—
565C22⋊Dic53C2411yescharacteristic
566C22⋊Dic53C2411yescharacteristic
567C22⋊Dic53C2414yes—
568C22⋊Dic53C2414yes—
569C22⋊Dic53C2414yes—
570#11719921C2414yes—
571#11719921C2418yes—
572#11719921C2414yes—
573#11719921C2414yes—
574#11719921C2414yes—
575#11719921C2414yes—
576#11719921C2418yes—
577#11719921C2418yes—
578#11719921C2418yes—
579#11719921C2418yes—
580#11719921C2418yes—
581#11719921C2414yes—
582#11719921C2414yes—
583#11719921C2418yes—
584#11719921C2414yes—
585C4⋊Dic53C2412yes—
586C4⋊Dic53C2412yes—
587C4⋊Dic53C2412yes—
588C4⋊Dic53C2414yes—
589C4⋊Dic53C2414yes—
590C4⋊Dic53C2418yes—
591C4⋊Dic53C2414yes—
592C4⋊Dic53C2414yes—
593C4⋊Dic53C2418yes—
594C4⋊Dic53C2412yes—
595C4⋊Dic53C2412yes—
596C4⋊Dic53C2412yes—
597C4⋊Dic53C2414yes—
598C4⋊Dic53C2414yes—
599#11719919C2418yes—
600#11719919C2414yes—
601#11719919C2414yes—
602#11719919C2414yes—
603#11719919C2418yes—
604#11719919C2414yes—
605#11719919C2414yes—
606#11719919C2414yes—
607#11719919C2414yes—
608#11719919C2414yes—
609#11719919C2418yes—
610#11719919C2418yes—
611#11719919C2418yes—
612#11719919C2414yes—
613#11719919C2414yes—
614#11719919C2414yes—
615#11719919C2414yes—
616C4×Dic53C2414yes—
617C4×Dic53C2412yes—
618C4×Dic53C2414yes—
619C4×Dic53C2414yes—
620C4×Dic53C2418yes—
621C4×Dic53C2412yes—
622C4×Dic53C2414yes—
623C4×Dic53C2414yes—
624C4×Dic53C2418yes—
625C4×Dic53C2414yes—
626C4×Dic53C2414yes—
627C4×Dic53C2412yes—
628C4×Dic53C2412yes—
629C23×C53—22no—
630C23×C53—41no—
631C23×C53—41no—
632C23×C53C2514yes—
633C23×C53C2511yescharacteristic
634C23×C53C2511yescharacteristic
635C23×C53C2511yescharacteristic
636C22×D53—216no—
637C22×D53—42no—
638C22×D53—42no—
639C22×D53—48no—
640C22×D53—48no—
641C22×D53C2×#4118yes—
642C22×D53C2514yes—
643C22×D53C2514yes—
644Q8×C53—24no—
645Q8×C53—44no—
646D4×C53—28no—
647D4×C53—24no—
648D4×C53—44no—
649D4×C53—44no—
650D4×C53—44no—
651C2×C4×C53—22no—
652C2×C4×C53—28no—
653C2×C4×C53—24no—
654C2×C4×C53—24no—
655C2×C4×C53—42no—
656C2×C4×C53—42no—
657C2×C4×C53—48no—
658C2×C4×C53—44no—
659C2×C4×C53—44no—
660C2×C4×C53C2×#4114yes—
661C2×C4×C53C2514yes—
662C2×C4×C53C2514yes—
663C2×C4×C53C2514yes—
664C2×C4×C53C2514yes—
665C2×C4×C53C2512yes—
666C2×C4×C53C2514yes—
667C2×C4×C53C2512yes—
668C22⋊D53—28no—
669C22⋊D53—28no—
670C22⋊D53—28no—
671C22⋊D53—216no—
672C22⋊D53—44no—
673C22⋊D53—44no—
674C22⋊D53—44no—
675C22⋊D53—44no—
676C2×Dic53—24no—
677C2×Dic53—41no—
678C2×Dic53—44no—
679C2×Dic53—41no—
680C2×Dic53—41no—
681C2×Dic53—44no—
682C2×Dic53—41no—
683C2×Dic53C2511yescharacteristic
684C2×Dic53C2514yes—
685C2×Dic53C2514yes—
686C2×Dic53C2512yes—
687C2×Dic53C2514yes—
688C2×Dic53C2514yes—
689C2×Dic53C2512yes—
690C2×Dic53C2511yescharacteristic
691C2×Dic53C2511yescharacteristic
692C2×Dic53C2511yescharacteristic
693D212—216no—
694D212—24no—
695D212—44no—
696D212C2×#41116yes—
697C4×D53—216no—
698C4×D53—216no—
699C4×D53—28no—
700C4×D53—44no—
701C4×D53—48no—
702C4×D53—48no—
703C4×D53—44no—
704C4×D53—44no—
705C4×D53—48no—
706C4×D53—48no—
707C4×D53—44no—
708Dic106—28no—
709Dic106—24no—
710Dic106—44no—
711Dic106—44no—
712Dic106—44no—
713#62847—531nomaximal, Sylow
714C22×C53—21no—
715C22×C53—21no—
716C22×C53—21no—
717C22×C53—21no—
718C22×C53—24no—
719C22×C53—24no—
720C22×C53—21no—
721C22×C53—21no—
722C22×C53—24no—
723C22×C53—21no—
724C22×C53—21no—
725C22×C53—44no—
726C22×C53C22×#4112yes—
727C22×C53C2611yescharacteristic
728C2×D53—24no—
729C2×D53—24no—
730C2×D53—24no—
731C2×D53—24no—
732C2×D53—24no—
733C2×D53—48no—
734C2×D53—816no—
735C2×D53C22×#4118yes—
736C4×C53—22no—
737C4×C53—24no—
738C4×C53—24no—
739C4×C53—24no—
740C4×C53—24no—
741C4×C53—24no—
742C4×C53C22×#4114yes—
743Dic53—24no—
744Dic53—24no—
745Dic53—21no—
746Dic53—24no—
747Dic53—22no—
748Dic53—21no—
749Dic53—22no—
750Dic53—24no—
751Dic53—21no—
752Dic53—21no—
753#3521—534no—
754#3521—534no—
755#3520—534no—
756#3520—534no—
757#3515—534no—
758#3515—534no—
759#3513—534no—
760#3513—534no—
761#3507—532no—
762#3505—534no—
763#3501—531no—
764#3496—531no—
765#3492—531no—
766#3492D5311yescharacteristic, complemented
767#3491—534no—
768#3485—532no—
769#3461—531no—
770#3461—531no—
771#3459—534no—
772#3455—532no—
773C2×#539—534no—
774C4×H(5,𝔽2)—532no—
775C2×#520—531no—
776C2×C53—22no—
777C2×C53—44no—
778C2×C53—41no—
779C2×C53—41no—
780C2×C53C23×#4111yescharacteristic
781C2×C53H(7,𝔽2)11yescharacteristic
782C2×C532−1+611yescharacteristic
783D53—28no—
784D53—44no—
785C2×H(5,𝔽2)—532no—
786C22×#41—531no—
787#559—534no—
788#557—534no—
789#556—534no—
790#556—534no—
791#556—534no—
792#554—534no—
793#554—534no—
794#554—534no—
795#554—534no—
796#554—534no—
797#554C2×D5314yescomplemented
798#553—538no—
799#553—534no—
800#553—538no—
801#553—534no—
802#553—534no—
803#553C2×D5314yescomplemented
804#552—538no—
805#552—538no—
806#552—538no—
807#552—538no—
808#552—534no—
809#552—534no—
810#552—534no—
811#552—534no—
812#552—534no—
813#552C2×D5314yescomplemented
814#551—538no—
815#551—538no—
816#551—538no—
817#551—538no—
818#551—538no—
819#551—538no—
820D4×Q8—534no—
821#548—534no—
822#548—534no—
823#547—534no—
824#547—534no—
825#547—534no—
826#547—534no—
827#547—534no—
828#547—534no—
829#547C2×D5314yescomplemented
830#546—534no—
831#546—534no—
832#546—534no—
833#546—534no—
834#546—534no—
835#546—534no—
836#546—534no—
837#546—534no—
838D42—534no—
839#544—531no—
840#544C2×D5311yescharacteristic, complemented
841#543—534no—
842#542—534no—
843#542—532no—
844#542—532no—
845#542—532no—
846#542—532no—
847#542—534no—
848#541—534no—
849#541—532no—
850#541—532no—
851#541—534no—
852#540—532no—
853#540—532no—
854#539—538no—
855#539—538no—
856#539—534no—
857#539—538no—
858#539—534no—
859#539—538no—
860#539—534no—
861#539—538no—
862#539—538no—
863#539—534no—
864#539—538no—
865#539—534no—
866#539C2×D5314yescomplemented
867#538—538no—
868#538—538no—
869#538—534no—
870#538—534no—
871#537—531no—
872#537C2×D5311yescharacteristic
873#536—532no—
874#536—532no—
875#534—534no—
876#534—538no—
877#533—534no—
878#533—534no—
879#533—532no—
880#532—532no—
881#529—534no—
882#529—534no—
883#529—534no—
884#529—534no—
885#529—534no—
886#529—534no—
887#529—534no—
888#529—534no—
889#529—538no—
890#529—538no—
891#529—538no—
892C2×#126—538no—
893C2×#125—538no—
894#525—538no—
895#525—532no—
896#525—534no—
897#525—538no—
898#525C2×D5312yescomplemented
899#525C2×D5314yescomplemented
900C2×#123—538no—
901C2×#123—538no—
902C2×C22⋊Q8—534no—
903C2×C22⋊Q8—538no—
904C2×#121—534no—
905#520—534no—
906#520—534no—
907#520—534no—
908#520—534no—
909#520—534no—
910#520—532no—
911#520—534no—
912#520C2×D5312yescomplemented
913#518—538no—
914#518—534no—
915#518—532no—
916#518—534no—
917C4×#41—532no—
918C4×#41—534no—
919C4×#41—532no—
920C4×#41—534no—
921C2×C4×Q8—531no—
922C2×C4×Q8—531no—
923C2×C4×D4—532no—
924C2×C4×D4—532no—
925C2×C4×D4—538no—
926C2×C4×D4—534no—
927C2×C4×D4—531no—
928C2×C4×D4—531no—
929C2×C4×D4—534no—
930C2×#117—531no—
931C2×#117—532no—
932C22×C4⋊C4—532no—
933C22×C4⋊C4C2×D5311yescharacteristic, complemented
934C53#6284711yescharacteristic, complemented, Sylow
935H(5,𝔽2)—10616no—
936C2×#41—534no—
937C2×#41—532no—
938C2×#41—534no—
939C2×#41—534no—
940C2×#41—534no—
941C2×#41—534no—
942C2×#41—1068no—
943C2×#41C22×D5312yes—
944C2×#41C22×D5314yes—
945C22×Q8—534no—
946C22×Q8—531no—
947C22×D4—532no—
948C22×D4—538no—
949C22×D4—534no—
950C22×D4—534no—
951C22×D4—531no—
952C22×D4—534no—
953C23×C4—532no—
954C23×C4—532no—
955C23×C4—532no—
956C23×C4—538no—
957C23×C4C22×D5311yescharacteristic
958C23×C4C22×D5312yes—
959C4⋊Q8—532no—
960C4⋊Q8—534no—
961C4⋊Q8—532no—
962C4⋊Q8—532no—
963C4⋊Q8—534no—
964C4⋊Q8—534no—
965C4⋊Q8C22×D5314yes—
966#127—532no—
967#126—534no—
968#126—538no—
969#126—538no—
970#126—538no—
971#126—534no—
972#126—538no—
973#126—534no—
974#126—538no—
975#126—538no—
976#126—534no—
977#126—534no—
978#126—538no—
979#126—534no—
980#126—534no—
981#126—534no—
982#126—538no—
983#126—538no—
984#126C22×D5318yes—
985#125—534no—
986#125—534no—
987#125—538no—
988#125—538no—
989#125—538no—
990#125—538no—
991#125—538no—
992#125—534no—
993#125—534no—
994#125—534no—
995#125—534no—
996#125—534no—
997#125—532no—
998#125—532no—
999#125—538no—
1000#125C22×D5318yes—
1001#125C22×D5314yes—
1002#124—534no—
1003#124—532no—
1004#124—534no—
1005#124—534no—
1006#124—534no—
1007#124—534no—
1008#124—532no—
1009#124—534no—
1010#124—538no—
1011#124—534no—
1012#124—534no—
1013#123—538no—
1014#123—538no—
1015#123—534no—
1016#123—534no—
1017#123—534no—
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—534no—
1027#123—538no—
1028#123—538no—
1029#123—538no—
1030#123—538no—
1031#123—534no—
1032#123—538no—
1033#123—538no—
1034#123—538no—
1035#123—534no—
1036#123—534no—
1037#123—534no—
1038#123C22×D5314yes—
1039#123C22×D5318yes—
1040#123C22×D5318yes—
1041C22⋊Q8—538no—
1042C22⋊Q8—534no—
1043C22⋊Q8—538no—
1044C22⋊Q8—534no—
1045C22⋊Q8—538no—
1046C22⋊Q8—534no—
1047C22⋊Q8—532no—
1048C22⋊Q8—532no—
1049C22⋊Q8—534no—
1050C22⋊Q8—534no—
1051C22⋊Q8—534no—
1052C22⋊Q8—534no—
1053C22⋊Q8—538no—
1054C22⋊Q8—538no—
1055C22⋊Q8—538no—
1056C22⋊Q8—538no—
1057C22⋊Q8—534no—
1058C22⋊Q8—538no—
1059C22⋊Q8—538no—
1060C22⋊Q8—534no—
1061C22⋊Q8—534no—
1062C22⋊Q8—534no—
1063C22⋊Q8—534no—
1064C22⋊Q8—534no—
1065C22⋊Q8—538no—
1066C22⋊Q8—534no—
1067C22⋊Q8—534no—
1068C22⋊Q8C22×D5314yes—
1069C22⋊Q8C22×D5318yes—
1070C22⋊Q8C22×D5314yes—
1071C22⋊Q8C22×D5312yes—
1072C22⋊Q8C22×D5312yes—
1073C22⋊Q8C22×D5314yes—
1074#121—534no—
1075#121—534no—
1076#121—534no—
1077#121—534no—
1078#121—538no—
1079#121—534no—
1080#121—538no—
1081#121—534no—
1082#121—534no—
1083#121—534no—
1084#121—534no—
1085#121—532no—
1086#121—532no—
1087#121—534no—
1088#121—534no—
1089#121—538no—
1090#121—538no—
1091#121—538no—
1092#121C22×D5314yes—
1093#121C22×D5314yes—
1094#121C22×D5312yes—
1095#121C22×D5312yes—
1096#121C22×D5314yes—
1097#120—534no—
1098#120—538no—
1099#120—538no—
1100#120—538no—
1101#120—538no—
1102#120C22×D5314yes—
1103C4×Q8—532no—
1104C4×Q8—532no—
1105C4×Q8—534no—
1106C4×Q8—534no—
1107C4×Q8—534no—
1108C4×Q8—534no—
1109C4×Q8—534no—
1110C4×Q8—532no—
1111C4×Q8—532no—
1112C4×Q8—534no—
1113C4×Q8—534no—
1114C4×Q8—538no—
1115C4×Q8—534no—
1116C4×Q8—534no—
1117C4×Q8C22×D5314yes—
1118C4×D4—534no—
1119C4×D4—532no—
1120C4×D4—534no—
1121C4×D4—532no—
1122C4×D4—534no—
1123C4×D4—538no—
1124C4×D4—538no—
1125C4×D4—538no—
1126C4×D4—538no—
1127C4×D4—538no—
1128C4×D4—534no—
1129C4×D4—534no—
1130C4×D4—534no—
1131C4×D4—534no—
1132C4×D4—538no—
1133C4×D4—538no—
1134C4×D4—534no—
1135C4×D4—534no—
1136C4×D4—534no—
1137C4×D4—534no—
1138C4×D4—534no—
1139C4×D4—534no—
1140C4×D4—538no—
1141C4×D4—532no—
1142C4×D4—534no—
1143C4×D4—534no—
1144C4×D4—538no—
1145C4×D4—534no—
1146C4×D4—534no—
1147C4×D4—532no—
1148C4×D4—534no—
1149C4×D4—534no—
1150C4×D4—538no—
1151C4×D4—534no—
1152C4×D4—534no—
1153C4×D4—538no—
1154C4×D4—538no—
1155C4×D4—534no—
1156C4×D4—534no—
1157C4×D4—538no—
1158C4×D4C22×D5318yes—
1159C4×D4C22×D5314yes—
1160C4×D4C22×D5318yes—
1161C4×D4C22×D5314yes—
1162C4×D4C22×D5314yes—
1163#117—532no—
1164#117—532no—
1165#117—532no—
1166#117—532no—
1167#117—532no—
1168#117—534no—
1169#117—538no—
1170#117—534no—
1171#117—538no—
1172#117—538no—
1173#117—538no—
1174#117—534no—
1175#117—538no—
1176#117—538no—
1177#117—534no—
1178#117—538no—
1179#117—538no—
1180#117C22×D5312yes—
1181#117C22×D5314yes—
1182#117C22×D5314yes—
1183C2×C4⋊C4—531no—
1184C2×C4⋊C4—532no—
1185C2×C4⋊C4—532no—
1186C2×C4⋊C4—531no—
1187C2×C4⋊C4—538no—
1188C2×C4⋊C4—538no—
1189C2×C4⋊C4—538no—
1190C2×C4⋊C4—534no—
1191C2×C4⋊C4—534no—
1192C2×C4⋊C4—538no—
1193C2×C4⋊C4—538no—
1194C2×C4⋊C4—534no—
1195C2×C4⋊C4—538no—
1196C2×C4⋊C4C22×D5312yes—
1197C2×C4⋊C4C22×D5311yescharacteristic
1198C2×C4⋊C4C22×D5311yescharacteristic
1199C2×C4⋊C4C22×D5314yes—
1200C2×C4⋊C4C22×D5314yes—
1201C2×C4⋊C4C22×D5314yes—
1202C2×C22⋊C4—531no—
1203C2×C22⋊C4—531no—
1204C2×C22⋊C4—532no—
1205C2×C22⋊C4—532no—
1206C2×C22⋊C4—538no—
1207C2×C22⋊C4—538no—
1208C2×C22⋊C4—538no—
1209C2×C22⋊C4—538no—
1210C2×C22⋊C4—538no—
1211C2×C22⋊C4—538no—
1212C2×C22⋊C4—538no—
1213C2×C42—531no—
1214C2×C42—532no—
1215C2×C42—532no—
1216C2×C42—531no—
1217C2×C42—534no—
1218C2×C42—538no—
1219C2×C42—534no—
1220C24—532no—
1221C24—538no—
1222C24C23×D5311yescharacteristic
1223#41—28no—
1224#41—84no—
1225#41—10616no—
1226#41—10616no—
1227#41—10616no—
1228#41—10616no—
1229#41—1068no—
1230#41—4244no—
1231C2×Q8—534no—
1232C2×Q8—532no—
1233C2×Q8—534no—
1234C2×Q8—534no—
1235C2×Q8—534no—
1236C2×Q8—1064no—
1237C2×Q8—4244no—
1238C2×Q8C23×D5312yes—
1239C2×Q8C23×D5314yes—
1240C2×D4—534no—
1241C2×D4—534no—
1242C2×D4—538no—
1243C2×D4—534no—
1244C2×D4—534no—
1245C2×D4—534no—
1246C2×D4—534no—
1247C2×D4—534no—
1248C2×D4—538no—
1249C2×D4—534no—
1250C2×D4—538no—
1251C2×D4—532no—
1252C2×D4—534no—
1253C2×D4—10616no—
1254C2×D4—10616no—
1255C2×D4—10632no—
1256C2×D4—1068no—
1257C2×D4—4244no—
1258C2×D4C23×D5314yes—
1259C2×D4C23×D5312yes—
1260C2×D4C23×D5314yes—
1261C2×D4C23×D5314yes—
1262C2×D4C23×D5314yes—
1263C22×C4—24no—
1264C22×C4—82no—
1265C22×C4—532no—
1266C22×C4—531no—
1267C22×C4—531no—
1268C22×C4—534no—
1269C22×C4—531no—
1270C22×C4—531no—
1271C22×C4—534no—
1272C22×C4—538no—
1273C22×C4—534no—
1274C22×C4—538no—
1275C22×C4—538no—
1276C22×C4—534no—
1277C22×C4—538no—
1278C22×C4—534no—
1279C22×C4—534no—
1280C22×C4—538no—
1281C22×C4—538no—
1282C22×C4—534no—
1283C22×C4—1068no—
1284C22×C4—4242no—
1285C22×C4—4242no—
1286C22×C4—4248no—
1287C22×C4C23×D5314yes—
1288C22×C4C23×D5311yescharacteristic
1289C22×C4C23×D5312yes—
1290C22×C4C23×D5312yes—
1291C22×C4C23×D5312yes—
1292C22×C4C23×D5312yes—
1293C22×C4C23×D5318yes—
1294C22×C4C23×D5314yes—
1295C22×C4C23×D5314yes—
1296C22×C4C23×D5311yescharacteristic
1297C4⋊C4—532no—
1298C4⋊C4—532no—
1299C4⋊C4—534no—
1300C4⋊C4—538no—
1301C4⋊C4—534no—
1302C4⋊C4—532no—
1303C4⋊C4—534no—
1304C4⋊C4—538no—
1305C4⋊C4—534no—
1306C4⋊C4—534no—
1307C4⋊C4—534no—
1308C4⋊C4—534no—
1309C4⋊C4—534no—
1310C4⋊C4—534no—
1311C4⋊C4—534no—
1312C4⋊C4—532no—
1313C4⋊C4—532no—
1314C4⋊C4—534no—
1315C4⋊C4—538no—
1316C4⋊C4—534no—
1317C4⋊C4—538no—
1318C4⋊C4—538no—
1319C4⋊C4—538no—
1320C4⋊C4—538no—
1321C4⋊C4—532no—
1322C4⋊C4—534no—
1323C4⋊C4—534no—
1324C4⋊C4—534no—
1325C4⋊C4—534no—
1326C4⋊C4—534no—
1327C4⋊C4—534no—
1328C4⋊C4C23×D5318yes—
1329C4⋊C4C23×D5314yes—
1330C4⋊C4C23×D5314yes—
1331C4⋊C4C23×D5314yes—
1332C4⋊C4C23×D5318yes—
1333C4⋊C4C23×D5318yes—
1334C4⋊C4C23×D5314yes—
1335C4⋊C4C23×D5314yes—
1336C4⋊C4C23×D5314yes—
1337C4⋊C4C23×D5312yes—
1338C4⋊C4C23×D5312yes—
1339C22⋊C4—534no—
1340C22⋊C4—534no—
1341C22⋊C4—534no—
1342C22⋊C4—534no—
1343C22⋊C4—531no—
1344C22⋊C4—531no—
1345C22⋊C4—532no—
1346C22⋊C4—532no—
1347C22⋊C4—531no—
1348C22⋊C4—531no—
1349C22⋊C4—538no—
1350C22⋊C4—538no—
1351C22⋊C4—534no—
1352C22⋊C4—534no—
1353C22⋊C4—534no—
1354C22⋊C4—534no—
1355C22⋊C4—534no—
1356C22⋊C4—538no—
1357C22⋊C4—538no—
1358C22⋊C4—534no—
1359C22⋊C4—538no—
1360C22⋊C4—534no—
1361C22⋊C4—534no—
1362C22⋊C4—534no—
1363C22⋊C4—534no—
1364C22⋊C4—538no—
1365C22⋊C4—538no—
1366C22⋊C4—538no—
1367C22⋊C4—538no—
1368C22⋊C4—534no—
1369C22⋊C4C23×D5314yes—
1370C22⋊C4C23×D5318yes—
1371C22⋊C4C23×D5314yes—
1372C22⋊C4C23×D5314yes—
1373C22⋊C4C23×D5318yes—
1374C22⋊C4C23×D5314yes—
1375C22⋊C4C23×D5314yes—
1376C42—532no—
1377C42—532no—
1378C42—534no—
1379C42—534no—
1380C42—538no—
1381C42—534no—
1382C42—534no—
1383C42—534no—
1384C42—534no—
1385C42—538no—
1386C42—534no—
1387C42—532no—
1388C42—532no—
1389C42C23×D5318yes—
1390C42C23×D5314yes—
1391C23—22no—
1392C23—41no—
1393C23—41no—
1394C23—534no—
1395C23—538no—
1396C23—534no—
1397C23—10616no—
1398C23—2128no—
1399C23—2128no—
1400C23—2122no—
1401C23—2122no—
1402C23C24×D5314yes—
1403C23C24×D5311yescharacteristic
1404C23C24×D5311yescharacteristic
1405C23C24×D5311yescharacteristic
1406Q8—24no—
1407Q8—44no—
1408Q8—1068no—
1409Q8—1064no—
1410Q8—2124no—
1411Q8—2124no—
1412Q8—2124no—
1413D4—28no—
1414D4—24no—
1415D4—44no—
1416D4—44no—
1417D4—44no—
1418D4—5316no—
1419D4—10616no—
1420D4—10616no—
1421D4—1068no—
1422D4—1068no—
1423D4—1068no—
1424D4—1064no—
1425D4—2124no—
1426D4—2124no—
1427D4—2124no—
1428D4—2124no—
1429D4—2124no—
1430C2×C4—22no—
1431C2×C4—24no—
1432C2×C4—24no—
1433C2×C4—28no—
1434C2×C4—42no—
1435C2×C4—42no—
1436C2×C4—44no—
1437C2×C4—44no—
1438C2×C4—48no—
1439C2×C4—531no—
1440C2×C4—531no—
1441C2×C4—532no—
1442C2×C4—532no—
1443C2×C4—534no—
1444C2×C4—534no—
1445C2×C4—534no—
1446C2×C4—531no—
1447C2×C4—534no—
1448C2×C4—531no—
1449C2×C4—10616no—
1450C2×C4—10616no—
1451C2×C4—1064no—
1452C2×C4—1068no—
1453C2×C4—2124no—
1454C2×C4—2128no—
1455C2×C4—2128no—
1456C2×C4—2124no—
1457C2×C4—2124no—
1458C2×C4—2124no—
1459C2×C4—2128no—
1460C2×C4—2128no—
1461C2×C4—2121no—
1462C2×C4—2124no—
1463C2×C4—2121no—
1464C2×C4—2121no—
1465C2×C4—2124no—
1466C2×C4—2121no—
1467C2×C4#41×D5314yes—
1468C2×C4C24×D5314yes—
1469C2×C4C24×D5314yes—
1470C2×C4C24×D5314yes—
1471C2×C4C24×D5314yes—
1472C2×C4C24×D5314yes—
1473C2×C4C24×D5312yes—
1474C2×C4C24×D5312yes—
1475C22—21no—
1476C22—21no—
1477C22—21no—
1478C22—21no—
1479C22—24no—
1480C22—21no—
1481C22—21no—
1482C22—24no—
1483C22—24no—
1484C22—21no—
1485C22—21no—
1486C22—44no—
1487C22—538no—
1488C22—1064no—
1489C22—1064no—
1490C22—1064no—
1491C22—1064no—
1492C22—1064no—
1493C22—42416no—
1494C22—2128no—
1495C22C2×#41×D5312yes—
1496C22C25×D5311yescharacteristic
1497C4—22no—
1498C4—24no—
1499C4—24no—
1500C4—24no—
1501C4—24no—
1502C4—24no—
1503C4—1064no—
1504C4—1064no—
1505C4—1062no—
1506C4—1061no—
1507C4—1064no—
1508C4—1061no—
1509C4—1061no—
1510C4—1061no—
1511C4—1064no—
1512C4—1062no—
1513C4C2×#41×D5314yes—
1514C2—22no—
1515C2—41no—
1516C2—41no—
1517C2—44no—
1518C2—1068no—
1519C2—2124no—
1520C2C22×#41×D5311yescharacteristic
1521C2#2028952511yescharacteristic
1522C2#2028952711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3492C2
hypercenter#3492D53
hypocenterC53#62847
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3492

Complements

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

NH ≅ G/Ntype
1. #20288790C2semidirect
2. #20288778C2semidirect
3. #20288767C2semidirect
4. #20288760C2semidirect
5. #20288696C2semidirect
6. #20288689C2semidirect
7. #20288662C2semidirect
8. #20288650C2semidirect
9. #20288573C2semidirect
10. #20288543C2semidirect
11. #20288517C2semidirect
12. #20288478C2semidirect
13. #20288424C2semidirect
14. #20288409C2semidirect
15. #20288357C2semidirect
16. #20288149C2semidirect
17. #20288143C2semidirect
18. #20288122C2semidirect
19. #20288103C2semidirect
20. #539×D53C2semidirect
21. #20287921C2semidirect
22. C2×#16811104C2semidirect
23. C53×#3492C2semidirect
26. #16811356C22semidirect
27. #16811351C22semidirect
28. #16811345C22semidirect
29. #16811343C22semidirect
30. #16811341C22semidirect
31. #16811334C22semidirect
32. #16811329C22semidirect
33. #16811329C22semidirect
34. #16811328C22semidirect
35. #16811328C22semidirect
36. #16811323C22semidirect
37. #16811321C22semidirect
38. #16811320C22semidirect
39. #16811318C22semidirect
40. #16811317C22semidirect
41. #16811312C22semidirect
42. #16811312C22semidirect
43. #16811311C22semidirect
44. #16811309C22semidirect
45. #16811308C22semidirect
46. #16811308C22semidirect
47. #16811307C22semidirect
48. #16811307C22semidirect
49. #16811305C22semidirect
50. #16811302C22semidirect
51. #16811301C22semidirect
52. #16811301C22semidirect
53. #16811300C22semidirect
54. #16811298C22semidirect
55. #16811296C22semidirect
56. #16811288C22semidirect
57. #16811283C22semidirect
58. #16811280C22semidirect
59. #16811278C22semidirect
60. #16811278C22semidirect
61. #16811275C22semidirect
62. #16811275C22semidirect
63. #16811275C22semidirect
64. #16811274C22semidirect
65. #16811270C22semidirect
66. #16811270C22semidirect
67. #16811270C22semidirect
68. #16811270C22semidirect
69. #16811269C22semidirect
70. #16811269C22semidirect
71. #16811264C22semidirect
72. #16811261C22semidirect
73. #16811257C22semidirect
74. #16811254C22semidirect
75. #16811248C22semidirect
76. #16811247C22semidirect
77. #16811246C22semidirect
78. #16811246C22semidirect
79. #16811240C22semidirect
80. #16811240C22semidirect
81. #16811240C22semidirect
82. #16811236C22semidirect
83. #16811233C22semidirect
84. #16811233C22semidirect
85. #16811233C22semidirect
86. #16811226C22semidirect
87. #16811226C22semidirect
88. #16811222C22semidirect
89. #16811221C22semidirect
90. #16811220C22semidirect
91. #16811219C22semidirect
92. #16811219C22semidirect
93. #16811218C22semidirect
94. #16811217C22semidirect
95. #16811217C22semidirect
96. #16811216C22semidirect
97. #16811216C22semidirect
98. #16811215C22semidirect
99. #16811214C22semidirect
100. #16811209C22semidirect
101. #16811208C22semidirect
102. #16811208C22semidirect
103. #16811205C22semidirect
105. #16811199C22semidirect
106. #16811194C22semidirect
107. #16811183C22semidirect
109. #16811178C22semidirect
110. #16811176C22semidirect
111. #16811175C22semidirect
113. #16811159C22semidirect
114. #16811158C22semidirect
115. #16811155C22semidirect
116. #16811155C22semidirect
117. #16811155C22semidirect
118. #16811154C22semidirect
119. #16811154C22semidirect
120. #16811153C22semidirect
121. #16811153C22semidirect
122. #16811153C22semidirect
123. #16811151C22semidirect
124. #126×D53C22semidirect
125. #125×D53C22semidirect
126. #16811134C22semidirect
127. #16811134C22semidirect
128. #16811132C22semidirect
129. #16811130C22semidirect
130. #123×D53C22semidirect
131. #123×D53C22semidirect
132. C22⋊Q8×D53C22semidirect
133. C22⋊Q8×D53C22semidirect
135. #16811105C22semidirect
136. #16811104C22semidirect
137. #16811104C22semidirect
138. #16811104C22semidirect
139. #16811104C22semidirect
140. #16811104C22semidirect
141. #16811104C22semidirect
143. #16811097C22semidirect
144. #16811095C22semidirect
145. #16811095C22semidirect
146. #41×Dic53C22semidirect
147. C4×#11719949C22semidirect
148. #16811091C22semidirect
149. #16811091C22semidirect
150. C2×#13133182C22semidirect
151. C2×#13133182C22semidirect
154. C2×#13133179C22semidirect
155. C2×C4×C22⋊D53C22semidirect
156. C2×C4×C22⋊D53C22semidirect
157. C4×D4×D53C22semidirect
158. C4×D4×D53C22semidirect
159. C2×#13133176C22semidirect
160. C2×#13133175C22semidirect
161. C2×C4⋊C4×D53C22semidirect
162. C53×#554C22semidirect
163. C53×#553C22semidirect
164. C53×#552C22semidirect
165. C53×#547C22semidirect
166. C53×#544C22semidirect
167. C53×#539C22semidirect
169. C53×#525C22semidirect
170. C53×#525C22semidirect
171. C53×#520C22semidirect
172. C22×C4⋊C4×C53C22semidirect
509. C2×D212#41semidirect
766. #3492D53semidirect
797. #554C2×D53semidirect
803. #553C2×D53semidirect
813. #552C2×D53semidirect
829. #547C2×D53semidirect
840. #544C2×D53semidirect
866. #539C2×D53semidirect
898. #525C2×D53semidirect
899. #525C2×D53semidirect
912. #520C2×D53semidirect
933. C22×C4⋊C4C2×D53semidirect
934. C53#62847semidirect

Maximal subgroups

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

subgroupindex
#202887902
#202887782
#202887672
#202887602
#202886962
#202886892
#202886622
#202886502
#202885732
#202885432
#202885172
#202884782
#202884242
#202884092
#202883572
#202881492
#202881432
#202881222
#202881032
#539×D532
#202879212
C2×#168111042
C53×#34922
#6284753