Finite Group Databasebeta

← #28292678

Subgroups — #28292678

Order 13568.

7210 conjugacy classes of subgroups.

The subgroup lattice has 1498 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288638C212yesmaximal, complemented
2#20288634C212yesmaximal, complemented
3#20288620C214yesmaximal, complemented
4#20288607C214yesmaximal, complemented
5#20288597C212yesmaximal, complemented
6#20288587C212yesmaximal, complemented
7#20288575C214yesmaximal, complemented
8#20288562C214yesmaximal, complemented
9#20288553C214yesmaximal, complemented
10#20288547C214yesmaximal, complemented
11#20288306C218yesmaximal, complemented
12#20288267C218yesmaximal, complemented
13#20288107C211yesmaximal, characteristic, complemented
14#20288105C211yesmaximal, characteristic, complemented
15#20288104C211yesmaximal, characteristic, complemented
16#20288045C212yesmaximal, complemented
17#20288008C212yesmaximal, complemented
18#20288007C212yesmaximal, complemented
19#533×D53C211yesmaximal, characteristic, complemented
20#532×D53C211yesmaximal, characteristic, complemented
21#20287914C212yesmaximal, complemented
22C2×#16811091C211yesmaximal, characteristic, complemented
23C53×#3455C211yesmaximal, characteristic, complemented
24C22×#11719945C2211yescharacteristic
25C2×#41×D53C2212yes—
26#16811357C2218yescomplemented
27#16811357C2218yescomplemented
28#16811355C2218yescomplemented
29#16811350C2218yescomplemented
30#16811344C2218yescomplemented
31#16811340C2218yescomplemented
32#16811340C2218yescomplemented
33#16811340C2218yescomplemented
34#16811335C2218yescomplemented
35#16811327C2218yescomplemented
36#16811326C2218yescomplemented
37#16811324C2218yescomplemented
38#16811324C2218yescomplemented
39#16811324C2218yescomplemented
40#16811320C2218yescomplemented
41#16811318C2218yescomplemented
42#16811318C2218yescomplemented
43#16811316C2218yescomplemented
44#16811310C2218yescomplemented
45#16811309C2218yescomplemented
46#16811305C2218yescomplemented
47#16811305C2218yescomplemented
48#16811303C2218yescomplemented
49#16811300C2218yescomplemented
50#16811298C2218yescomplemented
51#16811296C2218yescomplemented
52#16811291C2218yescomplemented
53#16811283C2218yescomplemented
54#16811281C2218yescomplemented
55#16811271C2218yescomplemented
56#16811265C2218yescomplemented
57#16811262C2218yescomplemented
58#16811247C2214yescomplemented
59#16811244C2214yescomplemented
60#16811242C2214yescomplemented
61#16811236C2212yescomplemented
62#16811235C2212yescomplemented
63#16811234C2212yescomplemented
64#16811229C2212yescomplemented
65#16811228C2212yescomplemented
66#16811227C2212yescomplemented
67#16811222C2214yescomplemented
68#16811220C2214yescomplemented
69#16811218C2214yescomplemented
70#16811213C2214yescomplemented
71#16811211C2214yescomplemented
72#16811210C2214yescomplemented
73#16811203C2214yescomplemented
74#16811202C2214yescomplemented
75#16811196C2214yes—
76#16811195C2214yescomplemented
77#16811189C2214yes—
78#16811188C2214yescomplemented
79#16811184C2214yes—
80#16811183C2214yes—
81#16811180C2211yescharacteristic, complemented
82#16811179C2212yescomplemented
83#16811178C2212yescomplemented
84#16811177C2214yescomplemented
85#16811177C2214yescomplemented
86#16811176C2212yescomplemented
87#16811175C2214yescomplemented
88#16811175C2214yescomplemented
89#16811174C2211yescharacteristic, complemented
90#16811173C2211yescharacteristic
91#16811172C2212yescomplemented
92#16811171C2211yescharacteristic, complemented
93#16811170C2214yescomplemented
94#16811170C2218yescomplemented
95#16811170C2214yescomplemented
96#16811169C2212yes—
97#16811168C2214yes—
98#16811168C2214yescomplemented
99C4⋊Q8×D53C2212yescomplemented
100C4⋊Q8×D53C2211yescharacteristic, complemented
101#127×D53C2211yescharacteristic, complemented
102#16811160C2214yescomplemented
103#16811160C2218yescomplemented
104#16811159C2214yescomplemented
105#16811155C2214yescomplemented
106#16811154C2214yescomplemented
107#16811153C2218yescomplemented
108#16811153C2218yescomplemented
109#16811153C2218yescomplemented
110#16811151C2218yescomplemented
111#16811151C2218yescomplemented
112#16811150C2218yescomplemented
113#125×D53C2212yescomplemented
114#124×D53C2212yescomplemented
115#16811135C2212yescomplemented
116#16811134C2212yescomplemented
117#16811132C2218yes—
118#16811132C2218yescomplemented
119#16811130C2212yescomplemented
120#16811129C2218yescomplemented
121C22⋊Q8×D53C2214yes—
122#121×D53C2214yes—
123#16811105C2214yescomplemented
124#16811102C2218yescomplemented
125#16811102C2214yescomplemented
126#16811099C2214yescomplemented
127#16811095C2218yes—
128#16811095C2214yescomplemented
129#41×Dic53C2212yescomplemented
130C4×#11719945C2218yescomplemented
131C4×#11719945C2212yescomplemented
132C4×#11719945C2214yescomplemented
133#16811091C2214yes—
134#16811091C2212yes—
135#16811091C2212yes—
136#16811091C2212yescomplemented
137#16811091C2214yescomplemented
138#16811091C2214yescomplemented
139#16811091C2212yescomplemented
140#16811091C2212yescomplemented
141C4×#11719947C2218yescomplemented
142C2×#13133182C2212yescomplemented
143C4×Q8×D53C2214yescomplemented
144C2×#13133179C2212yes—
145C2×#13133177C2212yes—
146C2×#13133177C2212yescomplemented
147C4×D4×D53C2214yescomplemented
148C2×#13133174C2211yescharacteristic
149C2×#13133174C2214yescomplemented
150C2×#13133174C2211yescharacteristic, complemented
151#117×D53C2212yes—
152#117×D53C2214yescomplemented
153C22×C4×Dic53C2211yescharacteristic, complemented
154C2×C42×D53C2211yescharacteristic
155C2×C42×D53C2211yescharacteristic, complemented
156C53×#542C2214yescomplemented
157C53×#541C2212yescomplemented
158C53×#540C2212yescomplemented
159C53×#539C2214yescomplemented
160C53×#538C2214yescomplemented
161C53×#533C2211yescharacteristic, complemented
162C53×#532C2211yescharacteristic
163C53×#529C2218yescomplemented
164C53×#525C2212yescomplemented
165C4×#41×C53C2212yescomplemented
166C2×#117×C53C2211yescharacteristic, complemented
167C2×#11719949C2312yes—
168C2×#11719945—28no—
169C2×#11719945C2312yes—
170C2×#11719945C2312yes—
171C2×#11719945C2312yes—
172C2×#11719945C2312yes—
173C2×#11719945C2312yes—
174C2×#11719945C2314yes—
175C2×#11719945C2318yes—
176C2×#11719947C2314yes—
177C2×#11719947C2312yes—
178C2×#11719947C2318yes—
179#41×D53—216no—
180C22×Dic106C2311yescharacteristic
181C2×Q8×D53C2312yes—
182C2×Q8×D53C2314yes—
183C22×D212C2311yescharacteristic
184C22×C22⋊D53C2311yescharacteristic
185C22×C22⋊D53C2311yescharacteristic
186C2×D4×D53C2314yes—
187C2×D4×D53C2312yes—
188C2×D4×D53C2314yes—
189C23×Dic53C2312yes—
190C22×C4×D53C2311yescharacteristic
191C22×C4×D53C2314yes—
192C22×C4×D53C2312yes—
193C22×C4×D53C2312yes—
194C22×C4×D53C2311yescharacteristic
195#13133217C2311yescharacteristic
196#13133217C2312yes—
197#13133216C2314yes—
198#13133216C2314yes—
199#13133216C2318yes—
200#13133216C2314yes—
201#13133215C2314yes—
202#13133215C2312yes—
203#13133214C2311yescharacteristic
204#13133213C2318yes—
205#13133213C2314yes—
206#13133213C2312yes—
207#13133212C2318yes—
208#13133212C2318yes—
209#13133212C2318yes—
210#13133212C2318yes—
211#13133212C2318yes—
212#13133212C2318yes—
213#13133210C2318yes—
214#13133210C2318yes—
215#13133210C2318yes—
216#13133210C2318yes—
217#13133209C2312yes—
218#13133208C2318yes—
219#13133208C2314yes—
220#13133207C2318yes—
221#13133207C2318yes—
222#13133207C2318yes—
223#13133207C2318yes—
224#13133207C2318yes—
225#13133206C2318yes—
226#13133206C2312yes—
227#13133205C2312yes—
228#13133204C2312yes—
229#13133203C2318yes—
230#13133203C2318yes—
231#13133203C2318yes—
232#13133203C2318yes—
233#13133203C2318yes—
234#13133203C2318yes—
235#13133203C2318yes—
236#13133202C2318yes—
237#13133202C2318yes—
238#13133202C2318yes—
239#13133202C2318yes—
240#13133202C2318yes—
241#13133201C2318yes—
242#13133201C2318yes—
243#13133201C2314yes—
244#13133200C2314yes—
245#13133199C2318yes—
246#13133199C2318yes—
247#13133199C2318yes—
248#13133198C2318yes—
249#13133198C2318yes—
250#13133198C2314yes—
251#13133197C2314yes—
252#13133197C2314yes—
253#13133196C2314yes—
254#13133196C2314yes—
255#13133195C2318yes—
256#13133195C2318yes—
257#13133195C2318yes—
258#13133195C2318yes—
259#13133194C2318yes—
260#13133194C2318yes—
261#13133194C2318yes—
262#13133194C2318yes—
263#13133193C2318yes—
264#13133193C2314yes—
265#13133193C2314yes—
266#13133192C2318yes—
267#13133192C2318yes—
268#13133192C2314yes—
269#13133192C2314yes—
270#13133191C2314yes—
271#13133191C2314yes—
272#13133190C2318yes—
273#13133190C2318yes—
274#13133190C2318yes—
275#13133190C2318yes—
276#13133190C2318yes—
277#13133190C2318yes—
278#13133189C2318yes—
279#13133189C2318yes—
280#13133189C2318yes—
281#13133189C2318yes—
282#13133188C2318yes—
283#13133188C2314yes—
284#13133188C2314yes—
285#13133187C2318yes—
286#13133187C2314yes—
287#13133186C2314yes—
288#13133185C2318yes—
289#13133185C2314yes—
290Q8×Dic53C2314yes—
291Q8×Dic53C2314yes—
292C4×Dic106C2318yes—
293C4×Dic106C2318yes—
294C4×Dic106C2318yes—
295C4×Dic106C2314yes—
296C4×Dic106C2314yes—
297#13133182C2318yes—
298#13133182C2318yes—
299#13133182C2314yes—
300#13133182C2314yes—
301#13133182C2314yes—
302#13133182C2314yes—
303#13133182C2318yes—
304#13133182C2314yes—
305#13133182C2314yes—
306C4×D212C2318yes—
307C4×D212C2318yes—
308C4×D212C2314yes—
309C4×D212C2314yes—
310C4×D212C2318yes—
311D4×Dic53C2318yes—
312D4×Dic53C2314yes—
313D4×Dic53C2318yes—
314D4×Dic53C2314yes—
315#13133179C2314yes—
316#13133179C2314yes—
317#13133179C2318yes—
318#13133179C2314yes—
319#13133179C2314yes—
320#13133179C2314yes—
321#13133179C2314yes—
322C4×C22⋊D53C2318yes—
323C4×C22⋊D53C2318yes—
324C4×C22⋊D53C2318yes—
325C4×C22⋊D53C2318yes—
326C4×C22⋊D53C2318yes—
327C4×C22⋊D53C2318yes—
328C4×C22⋊D53C2318yes—
329C4×C22⋊D53C2318yes—
330#13133177C2318yes—
331#13133177C2314yes—
332#13133177C2318yes—
333#13133177C2314yes—
334#13133177C2318yes—
335#13133177C2314yes—
336#13133177C2318yes—
337#13133177C2314yes—
338#13133177C2318yes—
339#13133177C2314yes—
340#13133177C2314yes—
341#13133177C2314yes—
342#13133177C2314yes—
343#13133177C2318yes—
344#13133176C2318yes—
345#13133176C2312yes—
346#13133176C2314yes—
347#13133175C2318yes—
348#13133175C2318yes—
349#13133175C2314yes—
350#13133174C2318yes—
351#13133174C2318yes—
352#13133174C2318yes—
353#13133174C2318yes—
354#13133174C2314yes—
355#13133174C2312yes—
356#13133174C2312yes—
357#13133174C2312yes—
358#13133174C2312yes—
359#13133174C2314yes—
360#13133174C2312yes—
361#13133174C2312yes—
362#13133174C2314yes—
363#13133174C2314yes—
364#13133173C2318yes—
365#13133173C2318yes—
366#13133173C2318yes—
367#13133173C2314yes—
368C2×#11719919C2318yes—
369C2×#11719919C2312yes—
370C2×#11719919C2312yes—
371C4⋊C4×D53C2318yes—
372C4⋊C4×D53C2314yes—
373C4⋊C4×D53C2314yes—
374C4⋊C4×D53C2318yes—
375C4⋊C4×D53C2314yes—
376C2×#11719921C2318yes—
377C2×#11719921C2312yes—
378C2×#11719921C2312yes—
379C22⋊C4×D53C2318yes—
380C22⋊C4×D53C2318yes—
381C22⋊C4×D53C2314yes—
382C2×C4×Dic53C2311yescharacteristic
383C2×C4×Dic53C2312yes—
384C2×C4×Dic53C2312yes—
385C2×C4×Dic53C2311yescharacteristic
386C2×C4×Dic53C2312yes—
387C2×C4×Dic53C2314yes—
388C2×C4×Dic53C2312yes—
389C2×C4×Dic53C2312yes—
390C2×C4×Dic53C2314yes—
391C42×D53C2312yes—
392C42×D53C2312yes—
393C42×D53C2311yescharacteristic
394C42×D53C2311yescharacteristic
395C42×D53C2311yescharacteristic
396C42×D53C2311yescharacteristic
397C42×D53C2314yes—
398C42×D53C2312yes—
399C42×D53C2312yes—
400C42×D53C2314yes—
401C42×D53C2314yes—
402C42×D53C2314yes—
403C2×#41×C53C2312yes—
404C23×C4×C53C2311yescharacteristic
405C4⋊Q8×C53C2311yescharacteristic
406C4⋊Q8×C53C2312yes—
407#127×C53C2311yescharacteristic
408#126×C53C2318yes—
409#126×C53C2318yes—
410#125×C53C2318yes—
411#125×C53C2312yes—
412#124×C53C2318yes—
413#124×C53C2312yes—
414#123×C53C2318yes—
415#123×C53C2318yes—
416#123×C53C2314yes—
417C22⋊Q8×C53C2318yes—
418C22⋊Q8×C53C2314yes—
419C22⋊Q8×C53C2314yes—
420#121×C53C2318yes—
421#121×C53C2314yes—
422#121×C53C2314yes—
423#120×C53C2314yes—
424C4×Q8×C53C2314yes—
425C4×Q8×C53C2314yes—
426C4×D4×C53C2318yes—
427C4×D4×C53C2314yes—
428C4×D4×C53C2318yes—
429C4×D4×C53C2314yes—
430#117×C53C2314yes—
431#117×C53C2312yes—
432#117×C53C2312yes—
433#117×C53C2312yes—
434#117×C53C2314yes—
435C2×C4⋊C4×C53C2312yes—
436C2×C22⋊C4×C53C2312yes—
437C2×C42×C53C2311yescharacteristic
438C2×C42×C53C2311yescharacteristic
439C2×C42×C53C2314yes—
440C24×C53C2411yescharacteristic
441C23×D53C2414yes—
442C23×D53C2411yescharacteristic
443C23×D53C2411yescharacteristic
444#41×C53—28no—
445C2×Q8×C53C2412yes—
446C2×Q8×C53C2414yes—
447C2×D4×C53C2414yes—
448C2×D4×C53C2412yes—
449C2×D4×C53C2418yes—
450C2×D4×C53C2414yes—
451C22×C4×C53—24no—
452C22×C4×C53C2414yes—
453C22×C4×C53C2411yescharacteristic
454C22×C4×C53C2412yes—
455C22×C4×C53C2412yes—
456C22×C4×C53C2412yes—
457C22×C4×C53C2412yes—
458C22×C4×C53C2418yes—
459C22×C4×C53C2411yescharacteristic
460C2×C22⋊D53—24no—
461C2×C22⋊D53—24no—
462C2×C22⋊D53C2412yes—
463C2×C22⋊D53C2412yes—
464C2×C22⋊D53C2412yes—
465C2×C22⋊D53C2412yes—
466C2×C22⋊D53C2414yes—
467C2×C22⋊D53C2414yes—
468C2×C22⋊D53C2418yes—
469C2×C22⋊D53C2414yes—
470C2×C22⋊D53C2418yes—
471C2×C22⋊D53C2418yes—
472C22×Dic53—44no—
473C22×Dic53C2412yes—
474C22×Dic53C2411yescharacteristic
475C22×Dic53C2414yes—
476C22×Dic53C2414yes—
477C22×Dic53C2412yes—
478C22×Dic53C2414yes—
479C22×Dic53C2418yes—
480C22×Dic53C2411yescharacteristic
481#11719949—28no—
482Q8×D53—28no—
483Q8×D53—48no—
484#11719947—216no—
485#11719947—28no—
486#11719947—416no—
487D4×D53—216no—
488D4×D53—28no—
489D4×D53—48no—
490#11719945—28no—
491#11719945—216no—
492#11719945—28no—
493#11719945—28no—
494#11719945—28no—
495#11719945—28no—
496#11719945—416no—
497C2×D212—24no—
498C2×D212C2412yes—
499C2×D212C2412yes—
500C2×D212C2414yes—
501C2×D212C2412yes—
502C2×D212C2414yes—
503C2×D212C2418yes—
504C2×C4×D53—24no—
505C2×C4×D53—216no—
506C2×C4×D53—44no—
507C2×C4×D53—44no—
508C2×C4×D53#4118yescomplemented
509C2×C4×D53C2412yes—
510C2×C4×D53C2412yes—
511C2×C4×D53C2414yes—
512C2×C4×D53C2412yes—
513C2×C4×D53C2414yes—
514C2×C4×D53C2412yes—
515C2×C4×D53C2414yes—
516C2×C4×D53C2414yes—
517C2×C4×D53C2412yes—
518C2×C4×D53C2412yes—
519C2×C4×D53C2414yes—
520C2×C4×D53C2418yes—
521C2×C4×D53C2418yes—
522C2×C4×D53C2418yes—
523C2×C4×D53C2411yescharacteristic
524C2×C4×D53C2411yescharacteristic
525C2×C4×D53C2411yescharacteristic
526C2×C4×D53C2411yescharacteristic
527C2×Dic106—24no—
528C2×Dic106C2412yes—
529C2×Dic106C2412yes—
530C2×Dic106C2418yes—
531C2×Dic106C2412yes—
532C2×Dic106C2414yes—
533C2×Dic106C2414yes—
534C4⋊C4×C53C2414yes—
535C4⋊C4×C53C2414yes—
536C4⋊C4×C53C2414yes—
537C4⋊C4×C53C2418yes—
538C4⋊C4×C53C2414yes—
539C4⋊C4×C53C2418yes—
540C4⋊C4×C53C2418yes—
541C4⋊C4×C53C2414yes—
542C22⋊C4×C53C2414yes—
543C22⋊C4×C53C2414yes—
544C22⋊C4×C53C2414yes—
545C22⋊C4×C53C2418yes—
546C22⋊C4×C53C2418yes—
547C22⋊C4×C53C2418yes—
548C22⋊C4×C53C2418yes—
549C42×C53C2412yes—
550C42×C53C2412yes—
551C42×C53C2414yes—
552C42×C53C2412yes—
553C42×C53C2411yescharacteristic
554C42×C53C2411yescharacteristic
555C42×C53C2418yes—
556C22⋊Dic53C2414yes—
557C22⋊Dic53C2418yes—
558C22⋊Dic53C2418yes—
559C22⋊Dic53C2418yes—
560C22⋊Dic53C2418yes—
561#11719921C2414yes—
562#11719921C2418yes—
563#11719921C2418yes—
564#11719921C2418yes—
565#11719921C2414yes—
566#11719921C2414yes—
567#11719921C2418yes—
568#11719921C2414yes—
569#11719921C2418yes—
570#11719921C2418yes—
571#11719921C2418yes—
572#11719921C2418yes—
573#11719921C2418yes—
574C4⋊Dic53C2414yes—
575C4⋊Dic53C2418yes—
576C4⋊Dic53C2418yes—
577C4⋊Dic53C2414yes—
578C4⋊Dic53C2414yes—
579C4⋊Dic53C2418yes—
580#11719919C2414yes—
581#11719919C2418yes—
582#11719919C2418yes—
583#11719919C2418yes—
584#11719919C2418yes—
585#11719919C2418yes—
586#11719919C2414yes—
587#11719919C2414yes—
588#11719919C2418yes—
589#11719919C2414yes—
590#11719919C2418yes—
591#11719919C2418yes—
592#11719919C2418yes—
593C4×Dic53C2412yes—
594C4×Dic53C2411yescharacteristic
595C4×Dic53C2411yescharacteristic
596C4×Dic53C2412yes—
597C4×Dic53C2414yes—
598C4×Dic53C2414yes—
599C4×Dic53C2412yes—
600C4×Dic53C2414yes—
601C4×Dic53C2412yes—
602C4×Dic53C2412yes—
603C4×Dic53C2412yes—
604C4×Dic53C2418yes—
605C4×Dic53C2418yes—
606C4×Dic53C2418yes—
607C4×Dic53C2414yes—
608C4×Dic53C2412yes—
609C4×Dic53C2414yes—
610C4×Dic53C2418yes—
611C23×C53—22no—
612C23×C53—42no—
613C23×C53C2512yes—
614C23×C53C2514yes—
615C23×C53C2511yescharacteristic
616C22×D53—22no—
617C22×D53—28no—
618C22×D53—42no—
619C22×D53—42no—
620C22×D53—48no—
621C22×D53C2×#4114yes—
622C22×D53C2512yes—
623C22×D53C2514yes—
624C22×D53C2511yescharacteristic
625C22×D53C2511yescharacteristic
626Q8×C53—24no—
627Q8×C53—44no—
628D4×C53—28no—
629D4×C53—24no—
630D4×C53—44no—
631D4×C53—48no—
632C2×C4×C53—22no—
633C2×C4×C53—28no—
634C2×C4×C53—24no—
635C2×C4×C53—24no—
636C2×C4×C53—42no—
637C2×C4×C53—42no—
638C2×C4×C53—48no—
639C2×C4×C53C2×#4114yes—
640C2×C4×C53C2512yes—
641C2×C4×C53C2512yes—
642C2×C4×C53C2514yes—
643C2×C4×C53C2518yes—
644C2×C4×C53C2514yes—
645C2×C4×C53C2512yes—
646C2×C4×C53C2511yescharacteristic
647C2×C4×C53C2511yescharacteristic
648C22⋊D53—28no—
649C22⋊D53—24no—
650C22⋊D53—24no—
651C22⋊D53—28no—
652C22⋊D53—24no—
653C22⋊D53—24no—
654C22⋊D53—28no—
655C22⋊D53—216no—
656C22⋊D53—48no—
657C22⋊D53—48no—
658C2×Dic53—22no—
659C2×Dic53—28no—
660C2×Dic53—24no—
661C2×Dic53—28no—
662C2×Dic53—48no—
663C2×Dic53—44no—
664C2×Dic53—42no—
665C2×Dic53C2×#4114yes—
666C2×Dic53C2512yes—
667C2×Dic53C2514yes—
668C2×Dic53C2518yes—
669C2×Dic53C2512yes—
670C2×Dic53C2514yes—
671C2×Dic53C2511yescharacteristic
672C2×Dic53C2511yescharacteristic
673C2×Dic53C2512yes—
674D212—24no—
675D212—24no—
676D212—28no—
677D212—24no—
678D212—48no—
679D212—44no—
680C4×D53—28no—
681C4×D53—24no—
682C4×D53—24no—
683C4×D53—28no—
684C4×D53—28no—
685C4×D53—28no—
686C4×D53—24no—
687C4×D53—24no—
688C4×D53—42no—
689C4×D53—44no—
690C4×D53—42no—
691C4×D53—48no—
692C4×D53—48no—
693C4×D53—48no—
694C4×D53C2×#4114yes—
695C4×D53C2×#4114yes—
696C4×D53C2×#4114yes—
697C4×D53C2×#4114yes—
698Dic106—24no—
699Dic106—24no—
700Dic106—24no—
701Dic106—28no—
702Dic106—216no—
703Dic106—44no—
704#62815—531nomaximal, Sylow
705C22×C53—22no—
706C22×C53—24no—
707C22×C53—22no—
708C22×C53—24no—
709C22×C53—28no—
710C22×C53—44no—
711C22×C53C22×#4112yes—
712C22×C53C2611yescharacteristic
713C2×D53—22no—
714C2×D53—22no—
715C2×D53—22no—
716C2×D53—24no—
717C2×D53—24no—
718C2×D53—28no—
719C2×D53—44no—
720C2×D53—44no—
721C2×D53—88no—
722C2×D53C22×#4112yes—
723C2×D53C22×#4112yes—
724C4×C53—22no—
725C4×C53—24no—
726C4×C53—28no—
727C4×C53—22no—
728C4×C53—24no—
729C4×C53—22no—
730C4×C53C22×#4112yes—
731C4×C53C22×#4112yes—
732Dic53—24no—
733Dic53—22no—
734Dic53—28no—
735Dic53—22no—
736Dic53—24no—
737Dic53C22×#4112yes—
738Dic53C22×#4112yes—
739Dic53#58514yes—
740#3512—532no—
741#3512—532no—
742#3511—534no—
743#3510—534no—
744#3509—532no—
745#3508—532no—
746#3507—534no—
747#3506—534no—
748#3505—534no—
749#3505—534no—
750#3480—538no—
751#3475—538no—
752#3455—531no—
753#3455—531no—
754#3455—531no—
755#3455D5311yescharacteristic, complemented
756#3449—532no—
757#3444—532no—
758#3444—532no—
759C2×#533—531no—
760C2×#532—531no—
761#3428—532no—
762C2×C4×#41—531no—
763C2×C53—22no—
764C2×C53—44no—
765C2×C53—42no—
766C2×C53C23×#4111yescharacteristic
767C2×C53C2×#58512yes—
768D53—22no—
769D53—22no—
770D53—42no—
771D53—44no—
772C22×#41—532no—
773C22×#41—531no—
774#559—538no—
775#559—538no—
776#559—538no—
777#557—538no—
778#556—538no—
779#556—538no—
780#556—538no—
781#556—538no—
782#555—538no—
783#554—538no—
784#553—538no—
785#553—538no—
786#553—538no—
787#553—538no—
788#553—538no—
789#553—538no—
790#553—538no—
791#553—538no—
792#552—538no—
793#552—538no—
794#552—538no—
795#552—538no—
796#551—538no—
797#551—538no—
798#551—538no—
799#551—538no—
800#550—538no—
801#548—538no—
802#548—538no—
803#547—538no—
804#546—538no—
805#546—538no—
806#542—534no—
807#542—534no—
808#542—534no—
809#542C2×D5314yescomplemented
810#541—532no—
811#541—532no—
812#541—532no—
813#541C2×D5312yescomplemented
814#540—532no—
815#540—532no—
816#540—532no—
817#540C2×D5312yescomplemented
818#539—534no—
819#539—534no—
820#539—534no—
821#539C2×D5314yescomplemented
822#538—534no—
823#538—534no—
824#538—534no—
825#538C2×D5314yescomplemented
826#537—534no—
827#537—534no—
828#536—534no—
829#536—534no—
830#535—534no—
831#535—534no—
832#534—534no—
833#534—534no—
834#533—532no—
835#533—532no—
836#533—534no—
837#533—534no—
838#533—534no—
839#533—534no—
840#533—532no—
841#533—531no—
842#533C2×D5311yescharacteristic, complemented
843#532—532no—
844#532—531no—
845#532—531no—
846#532—532no—
847#532—534no—
848#532—534no—
849#532—534no—
850#532—534no—
851#532—538no—
852#532—531no—
853#532C2×D5311yescharacteristic
854C2×C4⋊Q8—531no—
855C2×C4⋊Q8—532no—
856C2×#127—531no—
857#529—538no—
858#529—534no—
859#529—534no—
860#529—534no—
861#529—538no—
862#529—538no—
863#529—538no—
864#529—534no—
865#529—538no—
866#529—538no—
867#529—538no—
868#529C2×D5318yescomplemented
869C2×#125—532no—
870C2×#124—532no—
871#525—532no—
872#525—532no—
873#525—538no—
874#525—538no—
875#525—538no—
876#525—532no—
877#525C2×D5312yescomplemented
878C2×C22⋊Q8—534no—
879C2×#121—534no—
880#520—534no—
881#520—538no—
882#520—534no—
883#519—534no—
884#518—538no—
885#518—534no—
886C4×#41—532no—
887C4×#41—538no—
888C4×#41—534no—
889C4×#41—532no—
890C4×#41—532no—
891C4×#41—534no—
892C4×#41—532no—
893C4×#41—532no—
894C4×#41—532no—
895C4×#41—534no—
896C4×#41—532no—
897C4×#41—534no—
898C4×#41—538no—
899C4×#41C2×D5312yescomplemented
900C2×C4×Q8—534no—
901C2×C4×Q8—532no—
902C2×C4×D4—534no—
903C2×C4×D4—532no—
904C2×C4×D4—532no—
905C2×C4×D4—532no—
906C2×#117—532no—
907C2×#117—534no—
908C2×#117—531no—
909C2×#117—531no—
910C2×#117—534no—
911C2×#117C2×D5311yescharacteristic, complemented
912C22×C42—531no—
913C22×C42—531no—
914C22×C42—531no—
915C53#6281511yescharacteristic, complemented, Sylow
916C2×#41—532no—
917C2×#41—534no—
918C2×#41—532no—
919C2×#41—538no—
920C2×#41—532no—
921C2×#41—532no—
922C2×#41—532no—
923C2×#41—534no—
924C2×#41—532no—
925C2×#41—532no—
926C2×#41—538no—
927C2×#41—1068no—
928C2×#41—10616no—
929C2×#41C22×D5312yes—
930C22×Q8—532no—
931C22×Q8—534no—
932C22×Q8—531no—
933C22×D4—531no—
934C22×D4—531no—
935C22×D4—534no—
936C22×D4—532no—
937C22×D4—534no—
938C22×D4—531no—
939C23×C4—531no—
940C23×C4—532no—
941C23×C4—534no—
942C23×C4—531no—
943C23×C4—532no—
944C23×C4—532no—
945C23×C4C22×D5311yescharacteristic
946C4⋊Q8—532no—
947C4⋊Q8—534no—
948C4⋊Q8—534no—
949C4⋊Q8—534no—
950C4⋊Q8—534no—
951C4⋊Q8—538no—
952C4⋊Q8—531no—
953C4⋊Q8—532no—
954C4⋊Q8C22×D5311yescharacteristic
955C4⋊Q8C22×D5312yes—
956#127—532no—
957#127—534no—
958#127—538no—
959#127—531no—
960#127C22×D5311yescharacteristic
961#126—538no—
962#126—538no—
963#126—538no—
964#126—538no—
965#126—538no—
966#126—538no—
967#126—538no—
968#126—538no—
969#126—538no—
970#126—538no—
971#126C22×D5318yes—
972#126C22×D5318yes—
973#125—534no—
974#125—538no—
975#125—538no—
976#125—538no—
977#125—538no—
978#125—538no—
979#125—538no—
980#125—532no—
981#125C22×D5312yes—
982#125C22×D5318yes—
983#124—532no—
984#124—538no—
985#124—532no—
986#124—538no—
987#124—538no—
988#124—538no—
989#124—538no—
990#124—538no—
991#124—538no—
992#124—538no—
993#124—532no—
994#124C22×D5312yes—
995#124C22×D5318yes—
996#123—534no—
997#123—538no—
998#123—538no—
999#123—534no—
1000#123—538no—
1001#123—538no—
1002#123—538no—
1003#123—538no—
1004#123—538no—
1005#123—534no—
1006#123—538no—
1007#123—538no—
1008#123—538no—
1009#123—538no—
1010#123—538no—
1011#123C22×D5314yes—
1012#123C22×D5318yes—
1013#123C22×D5318yes—
1014C22⋊Q8—534no—
1015C22⋊Q8—534no—
1016C22⋊Q8—538no—
1017C22⋊Q8—534no—
1018C22⋊Q8—534no—
1019C22⋊Q8—538no—
1020C22⋊Q8—534no—
1021C22⋊Q8—534no—
1022C22⋊Q8—538no—
1023C22⋊Q8—538no—
1024C22⋊Q8—538no—
1025C22⋊Q8—538no—
1026C22⋊Q8—538no—
1027C22⋊Q8—538no—
1028C22⋊Q8—538no—
1029C22⋊Q8C22×D5314yes—
1030C22⋊Q8C22×D5314yes—
1031C22⋊Q8C22×D5318yes—
1032#121—538no—
1033#121—534no—
1034#121—534no—
1035#121—538no—
1036#121—538no—
1037#121—538no—
1038#121—538no—
1039#121—534no—
1040#121—534no—
1041#121—534no—
1042#121—534no—
1043#121—538no—
1044#121—538no—
1045#121—538no—
1046#121—538no—
1047#121—538no—
1048#121—538no—
1049#121—538no—
1050#121—538no—
1051#121C22×D5314yes—
1052#121C22×D5314yes—
1053#121C22×D5318yes—
1054#120—534no—
1055#120—534no—
1056#120—538no—
1057#120—534no—
1058#120—538no—
1059#120C22×D5314yes—
1060C4×Q8—534no—
1061C4×Q8—534no—
1062C4×Q8—534no—
1063C4×Q8—534no—
1064C4×Q8—534no—
1065C4×Q8—534no—
1066C4×Q8—538no—
1067C4×Q8—534no—
1068C4×Q8—534no—
1069C4×Q8—538no—
1070C4×Q8—538no—
1071C4×Q8—538no—
1072C4×Q8—534no—
1073C4×Q8—534no—
1074C4×Q8—538no—
1075C4×Q8—538no—
1076C4×Q8C22×D5314yes—
1077C4×Q8C22×D5314yes—
1078C4×D4—534no—
1079C4×D4—538no—
1080C4×D4—534no—
1081C4×D4—538no—
1082C4×D4—538no—
1083C4×D4—538no—
1084C4×D4—538no—
1085C4×D4—538no—
1086C4×D4—538no—
1087C4×D4—538no—
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—534no—
1098C4×D4—534no—
1099C4×D4—534no—
1100C4×D4—534no—
1101C4×D4—534no—
1102C4×D4—534no—
1103C4×D4—534no—
1104C4×D4—534no—
1105C4×D4—538no—
1106C4×D4—538no—
1107C4×D4—538no—
1108C4×D4—538no—
1109C4×D4—538no—
1110C4×D4—538no—
1111C4×D4—534no—
1112C4×D4—534no—
1113C4×D4—538no—
1114C4×D4—538no—
1115C4×D4—538no—
1116C4×D4C22×D5314yes—
1117C4×D4C22×D5318yes—
1118C4×D4C22×D5318yes—
1119C4×D4C22×D5314yes—
1120#117—532no—
1121#117—534no—
1122#117—538no—
1123#117—534no—
1124#117—538no—
1125#117—538no—
1126#117—534no—
1127#117—538no—
1128#117—538no—
1129#117—538no—
1130#117—532no—
1131#117—534no—
1132#117—532no—
1133#117—532no—
1134#117—532no—
1135#117—534no—
1136#117—534no—
1137#117—534no—
1138#117—532no—
1139#117—532no—
1140#117—538no—
1141#117—538no—
1142#117—538no—
1143#117—538no—
1144#117C22×D5312yes—
1145#117C22×D5314yes—
1146#117C22×D5314yes—
1147#117C22×D5312yes—
1148#117C22×D5312yes—
1149C2×C4⋊C4—532no—
1150C2×C4⋊C4—532no—
1151C2×C4⋊C4—538no—
1152C2×C4⋊C4—534no—
1153C2×C4⋊C4—538no—
1154C2×C4⋊C4—534no—
1155C2×C4⋊C4—538no—
1156C2×C4⋊C4—534no—
1157C2×C4⋊C4C22×D5312yes—
1158C2×C22⋊C4—532no—
1159C2×C22⋊C4—532no—
1160C2×C22⋊C4—538no—
1161C2×C22⋊C4—534no—
1162C2×C22⋊C4—538no—
1163C2×C22⋊C4—538no—
1164C2×C22⋊C4C22×D5312yes—
1165C2×C42—531no—
1166C2×C42—534no—
1167C2×C42—532no—
1168C2×C42—532no—
1169C2×C42—532no—
1170C2×C42—534no—
1171C2×C42—532no—
1172C2×C42—532no—
1173C2×C42—531no—
1174C2×C42—534no—
1175C2×C42—534no—
1176C2×C42—534no—
1177C2×C42—532no—
1178C2×C42—532no—
1179C2×C42—534no—
1180C2×C42—531no—
1181C2×C42—531no—
1182C2×C42—532no—
1183C2×C42—531no—
1184C2×C42—531no—
1185C2×C42—532no—
1186C2×C42C22×D5311yescharacteristic
1187C2×C42C22×D5311yescharacteristic
1188C2×C42C22×D5314yes—
1189C24—531no—
1190C24—534no—
1191C24—531no—
1192C24C23×D5311yescharacteristic
1193#41—28no—
1194#41—1068no—
1195#41—1068no—
1196#41—1068no—
1197#41—1068no—
1198#41—10616no—
1199#41—10616no—
1200#41—1068no—
1201#41—1068no—
1202#41—1068no—
1203#41—21216no—
1204#41—21216no—
1205C2×Q8—532no—
1206C2×Q8—538no—
1207C2×Q8—532no—
1208C2×Q8—532no—
1209C2×Q8—534no—
1210C2×Q8—534no—
1211C2×Q8—1064no—
1212C2×Q8—1068no—
1213C2×Q8—2128no—
1214C2×Q8C23×D5312yes—
1215C2×Q8C23×D5314yes—
1216C2×D4—532no—
1217C2×D4—534no—
1218C2×D4—532no—
1219C2×D4—534no—
1220C2×D4—532no—
1221C2×D4—538no—
1222C2×D4—534no—
1223C2×D4—532no—
1224C2×D4—538no—
1225C2×D4—538no—
1226C2×D4—532no—
1227C2×D4—532no—
1228C2×D4—534no—
1229C2×D4—532no—
1230C2×D4—538no—
1231C2×D4—534no—
1232C2×D4—1064no—
1233C2×D4—1068no—
1234C2×D4—1064no—
1235C2×D4—10616no—
1236C2×D4—1064no—
1237C2×D4—2128no—
1238C2×D4C23×D5314yes—
1239C2×D4C23×D5312yes—
1240C2×D4C23×D5318yes—
1241C2×D4C23×D5314yes—
1242C22×C4—24no—
1243C22×C4—531no—
1244C22×C4—538no—
1245C22×C4—531no—
1246C22×C4—531no—
1247C22×C4—531no—
1248C22×C4—531no—
1249C22×C4—532no—
1250C22×C4—531no—
1251C22×C4—534no—
1252C22×C4—534no—
1253C22×C4—532no—
1254C22×C4—534no—
1255C22×C4—538no—
1256C22×C4—532no—
1257C22×C4—532no—
1258C22×C4—534no—
1259C22×C4—532no—
1260C22×C4—534no—
1261C22×C4—534no—
1262C22×C4—534no—
1263C22×C4—532no—
1264C22×C4—532no—
1265C22×C4—532no—
1266C22×C4—534no—
1267C22×C4—538no—
1268C22×C4—538no—
1269C22×C4—538no—
1270C22×C4—10616no—
1271C22×C4—1064no—
1272C22×C4—2124no—
1273C22×C4—2124no—
1274C22×C4—2124no—
1275C22×C4C23×D5311yescharacteristic
1276C22×C4C23×D5312yes—
1277C22×C4C23×D5312yes—
1278C22×C4C23×D5314yes—
1279C22×C4C23×D5312yes—
1280C22×C4C23×D5312yes—
1281C22×C4C23×D5318yes—
1282C22×C4C23×D5311yescharacteristic
1283C4⋊C4—534no—
1284C4⋊C4—538no—
1285C4⋊C4—534no—
1286C4⋊C4—538no—
1287C4⋊C4—538no—
1288C4⋊C4—534no—
1289C4⋊C4—534no—
1290C4⋊C4—538no—
1291C4⋊C4—538no—
1292C4⋊C4—538no—
1293C4⋊C4—538no—
1294C4⋊C4—538no—
1295C4⋊C4—534no—
1296C4⋊C4—534no—
1297C4⋊C4—538no—
1298C4⋊C4—534no—
1299C4⋊C4—538no—
1300C4⋊C4—538no—
1301C4⋊C4—538no—
1302C4⋊C4C23×D5314yes—
1303C4⋊C4C23×D5318yes—
1304C4⋊C4C23×D5314yes—
1305C4⋊C4C23×D5318yes—
1306C4⋊C4C23×D5314yes—
1307C4⋊C4C23×D5314yes—
1308C4⋊C4C23×D5314yes—
1309C4⋊C4C23×D5318yes—
1310C22⋊C4—534no—
1311C22⋊C4—538no—
1312C22⋊C4—538no—
1313C22⋊C4—538no—
1314C22⋊C4—538no—
1315C22⋊C4—534no—
1316C22⋊C4—538no—
1317C22⋊C4—534no—
1318C22⋊C4—534no—
1319C22⋊C4—538no—
1320C22⋊C4—538no—
1321C22⋊C4—538no—
1322C22⋊C4—534no—
1323C22⋊C4—538no—
1324C22⋊C4—538no—
1325C22⋊C4—538no—
1326C22⋊C4—538no—
1327C22⋊C4—538no—
1328C22⋊C4C23×D5314yes—
1329C22⋊C4C23×D5318yes—
1330C22⋊C4C23×D5318yes—
1331C22⋊C4C23×D5314yes—
1332C22⋊C4C23×D5314yes—
1333C22⋊C4C23×D5318yes—
1334C22⋊C4C23×D5318yes—
1335C42—531no—
1336C42—531no—
1337C42—532no—
1338C42—534no—
1339C42—534no—
1340C42—532no—
1341C42—532no—
1342C42—534no—
1343C42—534no—
1344C42—532no—
1345C42—532no—
1346C42—538no—
1347C42—538no—
1348C42—538no—
1349C42—538no—
1350C42—532no—
1351C42—532no—
1352C42—534no—
1353C42C23×D5312yes—
1354C42C23×D5311yescharacteristic
1355C42C23×D5311yescharacteristic
1356C42C23×D5318yes—
1357C42C23×D5312yes—
1358C42C23×D5312yes—
1359C42C23×D5314yes—
1360C23—22no—
1361C23—42no—
1362C23—531no—
1363C23—531no—
1364C23—534no—
1365C23—532no—
1366C23—534no—
1367C23—1068no—
1368C23—1062no—
1369C23—2128no—
1370C23—2122no—
1371C23—2122no—
1372C23C24×D5314yes—
1373C23C24×D5312yes—
1374C23C24×D5311yescharacteristic
1375Q8—24no—
1376Q8—44no—
1377Q8—1064no—
1378Q8—1064no—
1379Q8—1068no—
1380Q8—10616no—
1381Q8—1064no—
1382Q8—2124no—
1383D4—28no—
1384D4—24no—
1385D4—44no—
1386D4—48no—
1387D4—1064no—
1388D4—1064no—
1389D4—1068no—
1390D4—1064no—
1391D4—1064no—
1392D4—1068no—
1393D4—10616no—
1394D4—1064no—
1395D4—1064no—
1396D4—1068no—
1397D4—1068no—
1398D4—1064no—
1399D4—2124no—
1400D4—2128no—
1401D4—2128no—
1402D4—2128no—
1403C2×C4—22no—
1404C2×C4—24no—
1405C2×C4—24no—
1406C2×C4—28no—
1407C2×C4—42no—
1408C2×C4—42no—
1409C2×C4—48no—
1410C2×C4—534no—
1411C2×C4—531no—
1412C2×C4—532no—
1413C2×C4—531no—
1414C2×C4—534no—
1415C2×C4—534no—
1416C2×C4—534no—
1417C2×C4—534no—
1418C2×C4—532no—
1419C2×C4—534no—
1420C2×C4—532no—
1421C2×C4—534no—
1422C2×C4—538no—
1423C2×C4—1068no—
1424C2×C4—1064no—
1425C2×C4—1064no—
1426C2×C4—1068no—
1427C2×C4—1068no—
1428C2×C4—1068no—
1429C2×C4—1064no—
1430C2×C4—1068no—
1431C2×C4—1062no—
1432C2×C4—1068no—
1433C2×C4—1064no—
1434C2×C4—1064no—
1435C2×C4—2124no—
1436C2×C4—2122no—
1437C2×C4—2122no—
1438C2×C4—2128no—
1439C2×C4—2128no—
1440C2×C4—2128no—
1441C2×C4—2122no—
1442C2×C4—2124no—
1443C2×C4—2128no—
1444C2×C4#41×D5314yes—
1445C2×C4C24×D5314yes—
1446C2×C4C24×D5312yes—
1447C2×C4C24×D5312yes—
1448C2×C4C24×D5314yes—
1449C2×C4C24×D5318yes—
1450C2×C4C24×D5312yes—
1451C2×C4C24×D5311yescharacteristic
1452C2×C4C24×D5311yescharacteristic
1453C22—22no—
1454C22—22no—
1455C22—24no—
1456C22—28no—
1457C22—24no—
1458C22—44no—
1459C22—532no—
1460C22—532no—
1461C22—1062no—
1462C22—1062no—
1463C22—1064no—
1464C22—1062no—
1465C22—1064no—
1466C22—1068no—
1467C22—4248no—
1468C22—2124no—
1469C22—2124no—
1470C22C2×#41×D5312yes—
1471C22C25×D5311yescharacteristic
1472C4—22no—
1473C4—24no—
1474C4—24no—
1475C4—22no—
1476C4—22no—
1477C4—28no—
1478C4—532no—
1479C4—532no—
1480C4—534no—
1481C4—1064no—
1482C4—1062no—
1483C4—1062no—
1484C4—1064no—
1485C4—1068no—
1486C4C2×#41×D5312yes—
1487C4C2×#41×D5312yes—
1488C2—22no—
1489C2—42no—
1490C2—44no—
1491C2—1062no—
1492C2—1062no—
1493C2—2124no—
1494C2—2122no—
1495C2C22×#41×D5311yescharacteristic
1496C2#585×D5312yes—
subgroupG/H
centerC2×C4C24×D53
commutator, socle, cosocleC22×C53C26
FrattiniC22C25×D53
FittingC53×#3455C2
hypercenter#3455D53
hypocenterC53#62815
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C2×C4 ◁ #3455

Complements

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

NH ≅ G/Ntype
1. #20288638C2semidirect
2. #20288634C2semidirect
3. #20288620C2semidirect
4. #20288607C2semidirect
5. #20288597C2semidirect
6. #20288587C2semidirect
7. #20288575C2semidirect
8. #20288562C2semidirect
9. #20288553C2semidirect
10. #20288547C2semidirect
11. #20288306C2semidirect
12. #20288267C2semidirect
13. #20288107C2semidirect
14. #20288105C2semidirect
15. #20288104C2semidirect
16. #20288045C2semidirect
17. #20288008C2semidirect
18. #20288007C2semidirect
19. #533×D53C2semidirect
20. #532×D53C2semidirect
21. #20287914C2semidirect
22. C2×#16811091C2semidirect
23. C53×#3455C2semidirect
26. #16811357C22semidirect
27. #16811357C22semidirect
28. #16811355C22semidirect
29. #16811350C22semidirect
30. #16811344C22semidirect
31. #16811340C22semidirect
32. #16811340C22semidirect
33. #16811340C22semidirect
34. #16811335C22semidirect
35. #16811327C22semidirect
36. #16811326C22semidirect
37. #16811324C22semidirect
38. #16811324C22semidirect
39. #16811324C22semidirect
40. #16811320C22semidirect
41. #16811318C22semidirect
42. #16811318C22semidirect
43. #16811316C22semidirect
44. #16811310C22semidirect
45. #16811309C22semidirect
46. #16811305C22semidirect
47. #16811305C22semidirect
48. #16811303C22semidirect
49. #16811300C22semidirect
50. #16811298C22semidirect
51. #16811296C22semidirect
52. #16811291C22semidirect
53. #16811283C22semidirect
54. #16811281C22semidirect
55. #16811271C22semidirect
56. #16811265C22semidirect
57. #16811262C22semidirect
58. #16811247C22semidirect
59. #16811244C22semidirect
60. #16811242C22semidirect
61. #16811236C22semidirect
62. #16811235C22semidirect
63. #16811234C22semidirect
64. #16811229C22semidirect
65. #16811228C22semidirect
66. #16811227C22semidirect
67. #16811222C22semidirect
68. #16811220C22semidirect
69. #16811218C22semidirect
70. #16811213C22semidirect
71. #16811211C22semidirect
72. #16811210C22semidirect
73. #16811203C22semidirect
74. #16811202C22semidirect
76. #16811195C22semidirect
78. #16811188C22semidirect
81. #16811180C22semidirect
82. #16811179C22semidirect
83. #16811178C22semidirect
84. #16811177C22semidirect
85. #16811177C22semidirect
86. #16811176C22semidirect
87. #16811175C22semidirect
88. #16811175C22semidirect
89. #16811174C22semidirect
91. #16811172C22semidirect
92. #16811171C22semidirect
93. #16811170C22semidirect
94. #16811170C22semidirect
95. #16811170C22semidirect
98. #16811168C22semidirect
99. C4⋊Q8×D53C22semidirect
100. C4⋊Q8×D53C22semidirect
101. #127×D53C22semidirect
102. #16811160C22semidirect
103. #16811160C22semidirect
104. #16811159C22semidirect
105. #16811155C22semidirect
106. #16811154C22semidirect
107. #16811153C22semidirect
108. #16811153C22semidirect
109. #16811153C22semidirect
110. #16811151C22semidirect
111. #16811151C22semidirect
112. #16811150C22semidirect
113. #125×D53C22semidirect
114. #124×D53C22semidirect
115. #16811135C22semidirect
116. #16811134C22semidirect
118. #16811132C22semidirect
119. #16811130C22semidirect
120. #16811129C22semidirect
123. #16811105C22semidirect
124. #16811102C22semidirect
125. #16811102C22semidirect
126. #16811099C22semidirect
128. #16811095C22semidirect
129. #41×Dic53C22semidirect
130. C4×#11719945C22semidirect
131. C4×#11719945C22semidirect
132. C4×#11719945C22semidirect
136. #16811091C22semidirect
137. #16811091C22semidirect
138. #16811091C22semidirect
139. #16811091C22semidirect
140. #16811091C22semidirect
141. C4×#11719947C22semidirect
142. C2×#13133182C22semidirect
143. C4×Q8×D53C22semidirect
146. C2×#13133177C22semidirect
147. C4×D4×D53C22semidirect
149. C2×#13133174C22semidirect
150. C2×#13133174C22semidirect
152. #117×D53C22semidirect
153. C22×C4×Dic53C22semidirect
155. C2×C42×D53C22semidirect
156. C53×#542C22semidirect
157. C53×#541C22semidirect
158. C53×#540C22semidirect
159. C53×#539C22semidirect
160. C53×#538C22semidirect
161. C53×#533C22semidirect
163. C53×#529C22semidirect
164. C53×#525C22semidirect
165. C4×#41×C53C22semidirect
166. C2×#117×C53C22semidirect
508. C2×C4×D53#41semidirect
755. #3455D53semidirect
809. #542C2×D53semidirect
813. #541C2×D53semidirect
817. #540C2×D53semidirect
821. #539C2×D53semidirect
825. #538C2×D53semidirect
842. #533C2×D53semidirect
868. #529C2×D53semidirect
877. #525C2×D53semidirect
899. C4×#41C2×D53semidirect
911. C2×#117C2×D53semidirect
915. C53#62815semidirect

Maximal subgroups

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

subgroupindex
#202886382
#202886342
#202886202
#202886072
#202885972
#202885872
#202885752
#202885622
#202885532
#202885472
#202883062
#202882672
#202881072
#202881052
#202881042
#202880452
#202880082
#202880072
#533×D532
#532×D532
#202879142
C2×#168110912
C53×#34552
#6281553