Finite Group Databasebeta

← #28292327

Subgroups — #28292327

Order 13568.

7094 conjugacy classes of subgroups.

The subgroup lattice has 1506 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288807C214yesmaximal, complemented
2#20288796C214yesmaximal, complemented
3#20288706C214yesmaximal, complemented
4#20288702C214yesmaximal, complemented
5#20288579C212yesmaximal, complemented
6#20288575C214yesmaximal, complemented
7#20288523C211yesmaximal, characteristic, complemented
8#20288484C211yesmaximal, characteristic, complemented
9#20288425C211yesmaximal, characteristic, complemented
10#20288422C211yesmaximal, characteristic, complemented
11#20288420C214yesmaximal, complemented
12#20288364C212yesmaximal, complemented
13#20288333C214yesmaximal, complemented
14#20288328C214yesmaximal, complemented
15#20288306C214yesmaximal, complemented
16#20288293C214yesmaximal, complemented
17#20288148C211yesmaximal, characteristic, complemented
18#20288144C214yesmaximal, complemented
19#20288009C214yesmaximal, complemented
20#20288008C212yesmaximal, complemented
21C4×#13133264C212yesmaximal, complemented
22C2×C4×Q8×D53C211yesmaximal, characteristic, complemented
23C53×#3461C211yesmaximal, characteristic, complemented
24C2×#13133264C2212yes—
25C22×Q8×D53C2211yescharacteristic
26#16811357C2218yescomplemented
27#16811355C2214yescomplemented
28#16811353C2214yescomplemented
29#16811350C2214yescomplemented
30#16811350C2214yescomplemented
31#16811350C2218yescomplemented
32#16811348C2214yescomplemented
33#16811348C2214yescomplemented
34#16811347C2214yescomplemented
35#16811344C2214yescomplemented
36#16811344C2218yescomplemented
37#16811342C2214yescomplemented
38#16811340C2218yescomplemented
39#16811340C2218yescomplemented
40#16811334C2214yes—
41#16811331C2214yes—
42#16811331C2214yescomplemented
43#16811329C2218yes—
44#16811327C2218yes—
45#16811327C2218yescomplemented
46#16811326C2214yes—
47#16811324C2218yes—
48#16811320C2214yes—
49#16811318C2218yes—
50#16811315C2214yescomplemented
51#16811311C2214yes—
52#16811310C2218yescomplemented
53#16811309C2218yes—
54#16811307C2214yes—
55#16811307C2214yescomplemented
56#16811305C2218yes—
57#16811305C2218yescomplemented
58#16811291C2214yescomplemented
59#16811288C2214yes—
60#16811288C2214yes—
61#16811286C2214yes—
62#16811286C2214yes—
63#16811286C2214yescomplemented
64#16811283C2214yes—
65#16811283C2214yes—
66#16811283C2214yescomplemented
67#16811281C2214yes—
68#16811281C2214yes—
69#16811279C2214yescomplemented
70#16811276C2214yes—
71#16811275C2218yes—
72#16811273C2214yes—
73#16811271C2218yes—
74#16811254C2211yescharacteristic
75#16811252C2214yes—
76#16811245C2214yescomplemented
77#16811239C2218yescomplemented
78#16811237C2218yescomplemented
79#16811232C2218yescomplemented
80#16811231C2214yescomplemented
81#16811230C2218yescomplemented
82#16811222C2214yes—
83#16811220C2214yes—
84#16811218C2214yes—
85#16811217C2218yes—
86#16811204C2211yescharacteristic
87#16811200C2214yes—
88#16811197C2212yes—
89#16811195C2218yes—
90#16811179C2214yes—
91#16811177C2212yes—
92#16811177C2212yes—
93#16811177C2214yes—
94#16811177C2214yescomplemented
95#16811177C2218yescomplemented
96#16811176C2212yes—
97#16811176C2218yescomplemented
98#16811175C2214yes—
99#16811172C2214yes—
100#16811170C2212yes—
101#16811170C2212yes—
102#16811170C2214yes—
103#16811169C2212yes—
104#16811168C2214yes—
105#16811160C2212yes—
106#16811160C2212yes—
107#16811160C2214yescomplemented
108#16811158C2214yes—
109#16811157C2214yes—
110#16811156C2218yes—
111#16811156C2218yes—
112#16811155C2212yes—
113#16811155C2212yes—
114#16811153C2214yes—
115#16811153C2214yes—
116#16811153C2218yescomplemented
117#16811152C2214yes—
118#16811151C2214yes—
119#16811151C2214yes—
120#16811151C2218yes—
121#16811151C2218yescomplemented
122#16811150C2218yes—
123#16811136C2214yes—
124#16811135C2212yes—
125#16811133C2214yes—
126#16811132C2214yes—
127#16811132C2214yes—
128#16811131C2218yes—
129#16811130C2212yes—
130#16811106C2212yes—
131#16811103C2212yes—
132#16811103C2214yescomplemented
133#16811102C2218yes—
134#16811102C2214yescomplemented
135#16811100C2212yes—
136#16811100C2214yescomplemented
137#16811099C2214yescomplemented
138C4×#11719949C2214yes—
139C4×#11719945C2214yes—
140C4×#11719945C2214yes—
141C4×#11719945C2212yes—
142C4×#11719945C2214yescomplemented
143#16811091C2218yes—
144C4×#11719947C2214yes—
145C4×#11719947C2218yes—
146C4×#11719947C2214yescomplemented
147C2×Q8×Dic53C2211yescharacteristic
148C2×C4×Dic106C2212yes—
149C2×C4×Dic106C2211yescharacteristic
150C2×C4×Dic106C2214yescomplemented
151C2×#13133182C2211yescharacteristic
152C2×#13133182C2212yes—
153C4×Q8×D53C2214yes—
154C4×Q8×D53C2214yes—
155C4×Q8×D53C2214yes—
156C4×Q8×D53C2214yes—
157C4×Q8×D53C2214yescomplemented
158C2×C4⋊C4×D53C2212yes—
159C2×C4⋊C4×D53C2211yescharacteristic
160C2×C42×D53C2211yescharacteristic
161C2×C42×D53C2212yes—
162C53×#544C2211yescharacteristic
163C53×#542C2214yescomplemented
164C53×#541C2214yescomplemented
165C53×#539C2214yes—
166C53×#537C2211yescharacteristic
167C53×#536C2212yes—
168C53×#533C2214yescomplemented
169C53×#529C2214yes—
170C53×#529C2214yescomplemented
171C4×#41×C53C2212yes—
172C2×C4×Q8×C53C2211yescharacteristic
173#13133264—216no—
174C2×#11719949C2314yes—
175C2×#11719945C2314yes—
176C2×#11719945C2314yes—
177C2×#11719945C2312yes—
178C2×#11719945C2314yes—
179C2×#11719947C2314yes—
180C2×#11719947C2318yes—
181C2×#11719947C2314yes—
182C22×Dic106C2314yes—
183C22×Dic106C2312yes—
184C22×Dic106C2311yescharacteristic
185C2×Q8×D53—28no—
186C2×Q8×D53C2314yes—
187C2×Q8×D53C2314yes—
188C2×Q8×D53C2314yes—
189C22×C4×D53C2311yescharacteristic
190C22×C4×D53C2311yescharacteristic
191C22×C4×D53C2312yes—
192C22×C4×D53C2311yescharacteristic
193C22×C4×D53C2312yes—
194#13133216C2318yes—
195#13133216C2314yes—
196#13133216C2318yes—
197#13133216C2318yes—
198#13133216C2314yes—
199#13133216C2312yes—
200#13133216C2314yes—
201#13133216C2312yes—
202#13133215C2318yes—
203#13133215C2314yes—
204#13133215C2312yes—
205#13133215C2314yes—
206#13133213C2312yes—
207#13133213C2314yes—
208#13133212C2318yes—
209#13133212C2318yes—
210#13133212C2314yes—
211#13133212C2318yes—
212#13133212C2318yes—
213#13133212C2314yes—
214#13133211C2318yes—
215#13133210C2318yes—
216#13133210C2318yes—
217#13133210C2318yes—
218#13133210C2314yes—
219#13133210C2314yes—
220#13133209C2314yes—
221#13133208C2314yes—
222#13133208C2312yes—
223#13133208C2318yes—
224#13133208C2318yes—
225#13133208C2312yes—
226#13133207C2318yes—
227#13133207C2318yes—
228#13133207C2318yes—
229#13133207C2318yes—
230#13133207C2318yes—
231#13133207C2318yes—
232#13133207C2314yes—
233#13133207C2318yes—
234#13133207C2314yes—
235#13133206C2314yes—
236#13133206C2312yes—
237#13133205C2314yes—
238#13133204C2312yes—
239#13133203C2318yes—
240#13133203C2318yes—
241#13133203C2318yes—
242#13133203C2314yes—
243#13133203C2318yes—
244#13133203C2314yes—
245#13133202C2318yes—
246#13133202C2314yes—
247#13133202C2318yes—
248#13133202C2318yes—
249#13133202C2314yes—
250#13133201C2318yes—
251#13133201C2314yes—
252#13133200C2318yes—
253#13133199C2314yes—
254#13133199C2318yes—
255#13133199C2318yes—
256#13133199C2314yes—
257#13133198C2318yes—
258#13133198C2314yes—
259#13133197C2318yes—
260#13133197C2314yes—
261#13133197C2312yes—
262#13133197C2312yes—
263#13133197C2314yes—
264#13133196C2314yes—
265#13133195C2318yes—
266#13133195C2318yes—
267#13133195C2318yes—
268#13133195C2318yes—
269#13133195C2318yes—
270#13133195C2318yes—
271#13133195C2314yes—
272#13133195C2314yes—
273#13133194C2318yes—
274#13133194C2318yes—
275#13133194C2318yes—
276#13133194C2318yes—
277#13133194C2318yes—
278#13133194C2314yes—
279#13133194C2314yes—
280#13133193C2318yes—
281#13133193C2314yes—
282#13133193C2314yes—
283#13133193C2312yes—
284#13133193C2312yes—
285#13133193C2314yes—
286#13133192C2312yes—
287#13133192C2314yes—
288#13133192C2312yes—
289#13133192C2314yes—
290#13133191C2314yes—
291#13133190C2318yes—
292#13133190C2318yes—
293#13133190C2318yes—
294#13133190C2314yes—
295#13133190C2314yes—
296#13133189C2318yes—
297#13133189C2314yes—
298#13133189C2314yes—
299#13133188C2312yes—
300#13133188C2312yes—
301#13133188C2314yes—
302#13133187C2314yes—
303#13133185C2314yes—
304Q8×Dic53C2314yes—
305Q8×Dic53C2314yes—
306Q8×Dic53C2314yes—
307Q8×Dic53C2314yes—
308C4×Dic106C2314yes—
309C4×Dic106C2314yes—
310C4×Dic106C2318yes—
311C4×Dic106C2314yes—
312C4×Dic106C2314yes—
313C4×Dic106C2314yes—
314C4×Dic106C2314yes—
315C4×Dic106C2318yes—
316C4×Dic106C2318yes—
317C4×Dic106C2318yes—
318C4×Dic106C2314yes—
319C4×Dic106C2312yes—
320C4×Dic106C2314yes—
321C4×Dic106C2314yes—
322C4×Dic106C2312yes—
323C4×Dic106C2314yes—
324#13133182C2314yes—
325#13133182C2314yes—
326#13133182C2314yes—
327#13133182C2314yes—
328#13133182C2318yes—
329#13133182C2318yes—
330#13133182C2318yes—
331#13133182C2314yes—
332#13133182C2318yes—
333#13133182C2318yes—
334#13133182C2318yes—
335C4×D212C2314yes—
336C4×D212C2314yes—
337C4×D212C2314yes—
338C4×D212C2314yes—
339C4×D212C2312yes—
340C4×D212C2314yes—
341C4×D212C2312yes—
342C4×D212C2314yes—
343D4×Dic53C2314yes—
344D4×Dic53C2314yes—
345D4×Dic53C2318yes—
346#13133179C2318yes—
347#13133179C2318yes—
348#13133179C2314yes—
349#13133179C2318yes—
350C4×C22⋊D53C2314yes—
351C4×C22⋊D53C2318yes—
352C4×C22⋊D53C2314yes—
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⋊D53C2314yes—
362#13133177C2318yes—
363#13133177C2318yes—
364#13133177C2318yes—
365#13133177C2318yes—
366#13133177C2318yes—
367#13133177C2318yes—
368#13133177C2318yes—
369#13133177C2318yes—
370#13133176C2314yes—
371#13133176C2314yes—
372#13133176C2312yes—
373#13133176C2314yes—
374#13133175C2314yes—
375#13133175C2318yes—
376#13133175C2314yes—
377#13133175C2314yes—
378#13133175C2318yes—
379#13133174C2314yes—
380#13133174C2318yes—
381#13133174C2314yes—
382#13133174C2314yes—
383#13133174C2318yes—
384#13133174C2314yes—
385#13133174C2314yes—
386#13133173C2318yes—
387#13133173C2318yes—
388#13133173C2318yes—
389#13133173C2318yes—
390C2×C4⋊Dic53C2314yes—
391C2×C4⋊Dic53C2311yescharacteristic
392C2×C4⋊Dic53C2312yes—
393C2×#11719919C2318yes—
394C2×#11719919C2312yes—
395C2×#11719919C2312yes—
396C2×#11719919C2312yes—
397C4⋊C4×D53C2318yes—
398C4⋊C4×D53C2314yes—
399C4⋊C4×D53C2318yes—
400C4⋊C4×D53C2314yes—
401C4⋊C4×D53C2318yes—
402C4⋊C4×D53C2314yes—
403C2×C4×Dic53C2311yescharacteristic
404C2×C4×Dic53C2312yes—
405C2×C4×Dic53C2312yes—
406C2×C4×Dic53C2311yescharacteristic
407C2×C4×Dic53C2312yes—
408C2×C4×Dic53C2311yescharacteristic
409C2×C4×Dic53C2318yes—
410C42×D53C2314yes—
411C42×D53C2314yes—
412C42×D53C2312yes—
413C42×D53C2312yes—
414C42×D53C2312yes—
415C42×D53C2312yes—
416C42×D53C2314yes—
417C42×D53C2314yes—
418C42×D53C2318yes—
419C42×D53C2314yes—
420C2×#41×C53C2312yes—
421C22×Q8×C53C2311yescharacteristic
422C4⋊Q8×C53C2314yes—
423C4⋊Q8×C53C2314yes—
424#126×C53C2318yes—
425#126×C53C2318yes—
426#125×C53C2318yes—
427#125×C53C2314yes—
428#125×C53C2314yes—
429#124×C53C2314yes—
430#124×C53C2314yes—
431#123×C53C2318yes—
432#123×C53C2318yes—
433C22⋊Q8×C53C2318yes—
434C22⋊Q8×C53C2314yes—
435C22⋊Q8×C53C2314yes—
436C22⋊Q8×C53C2314yes—
437C22⋊Q8×C53C2314yes—
438#121×C53C2314yes—
439#121×C53C2314yes—
440C4×Q8×C53C2314yes—
441C4×Q8×C53C2314yes—
442C4×Q8×C53C2312yes—
443C4×Q8×C53C2312yes—
444C4×Q8×C53C2314yes—
445C4×D4×C53C2314yes—
446C4×D4×C53C2312yes—
447C4×D4×C53C2314yes—
448C4×D4×C53C2312yes—
449C4×D4×C53C2314yes—
450#117×C53C2312yes—
451#117×C53C2314yes—
452#117×C53C2318yes—
453C2×C4⋊C4×C53C2311yescharacteristic
454C2×C4⋊C4×C53C2312yes—
455C2×C42×C53C2311yescharacteristic
456C2×C42×C53C2312yes—
457C2×C42×C53C2314yes—
458C23×D53C2411yescharacteristic
459#41×C53—28no—
460C2×Q8×C53—24no—
461C2×Q8×C53C2414yes—
462C2×Q8×C53C2412yes—
463C2×Q8×C53C2414yes—
464C2×D4×C53C2414yes—
465C2×D4×C53C2412yes—
466C2×D4×C53C2414yes—
467C22×C4×C53C2411yescharacteristic
468C22×C4×C53C2412yes—
469C22×C4×C53C2414yes—
470C22×C4×C53C2414yes—
471C22×C4×C53C2411yescharacteristic
472C22×C4×C53C2412yes—
473C22×C4×C53C2414yes—
474C22×C4×C53C2411yescharacteristic
475C2×C22⋊D53C2414yes—
476C2×C22⋊D53C2414yes—
477C2×C22⋊D53C2414yes—
478C2×C22⋊D53C2414yes—
479C2×C22⋊D53C2418yes—
480C2×C22⋊D53C2414yes—
481C22×Dic53C2411yescharacteristic
482C22×Dic53C2411yescharacteristic
483C22×Dic53C2418yes—
484C22×Dic53C2412yes—
485C22×Dic53C2411yescharacteristic
486C22×Dic53C2418yes—
487C22×Dic53C2412yes—
488#11719949—48no—
489Q8×D53—216no—
490Q8×D53—216no—
491Q8×D53—216no—
492#11719947—232no—
493#11719947—216no—
494#11719947—48no—
495#11719945—28no—
496#11719945—216no—
497#11719945—216no—
498#11719945—48no—
499C2×D212C2414yes—
500C2×D212C2414yes—
501C2×D212C2412yes—
502C2×D212C2414yes—
503C2×C4×D53—24no—
504C2×C4×D53—28no—
505C2×C4×D53—24no—
506C2×C4×D53—42no—
507C2×C4×D53—44no—
508C2×C4×D53C2411yescharacteristic
509C2×C4×D53C2411yescharacteristic
510C2×C4×D53C2411yescharacteristic
511C2×C4×D53C2414yes—
512C2×C4×D53C2412yes—
513C2×C4×D53C2414yes—
514C2×C4×D53C2414yes—
515C2×C4×D53C2414yes—
516C2×C4×D53C2412yes—
517C2×C4×D53C2412yes—
518C2×C4×D53C2418yes—
519C2×C4×D53C2414yes—
520C2×C4×D53C2414yes—
521C2×C4×D53C2412yes—
522C2×C4×D53C2414yes—
523C2×C4×D53C2418yes—
524C2×C4×D53C2411yescharacteristic
525C2×Dic106—28no—
526C2×Dic106—216no—
527C2×Dic106#4118yescomplemented
528C2×Dic106C2414yes—
529C2×Dic106C2418yes—
530C2×Dic106C2418yes—
531C2×Dic106C2412yes—
532C2×Dic106C2414yes—
533C2×Dic106C2414yes—
534C2×Dic106C2414yes—
535C4⋊C4×C53C2414yes—
536C4⋊C4×C53C2418yes—
537C4⋊C4×C53C2414yes—
538C4⋊C4×C53C2412yes—
539C4⋊C4×C53C2412yes—
540C4⋊C4×C53C2414yes—
541C4⋊C4×C53C2418yes—
542C4⋊C4×C53C2418yes—
543C4⋊C4×C53C2414yes—
544C4⋊C4×C53C2414yes—
545C4⋊C4×C53C2418yes—
546C22⋊C4×C53C2414yes—
547C22⋊C4×C53C2414yes—
548C22⋊C4×C53C2414yes—
549C22⋊C4×C53C2418yes—
550C22⋊C4×C53C2418yes—
551C22⋊C4×C53C2418yes—
552C42×C53C2412yes—
553C42×C53C2414yes—
554C42×C53C2414yes—
555C42×C53C2412yes—
556C42×C53C2414yes—
557C42×C53C2414yes—
558C42×C53C2414yes—
559C22⋊Dic53C2414yes—
560C22⋊Dic53C2418yes—
561C22⋊Dic53C2414yes—
562C22⋊Dic53C2414yes—
563C22⋊Dic53C2414yes—
564C22⋊Dic53C2414yes—
565#11719921C2414yes—
566#11719921C2414yes—
567#11719921C2414yes—
568#11719921C2418yes—
569#11719921C2414yes—
570#11719921C2414yes—
571#11719921C2414yes—
572#11719921C2414yes—
573#11719921C2418yes—
574#11719921C2418yes—
575#11719921C2414yes—
576#11719921C2414yes—
577#11719921C2414yes—
578#11719921C2418yes—
579C4⋊Dic53C2414yes—
580C4⋊Dic53C2418yes—
581C4⋊Dic53C2418yes—
582C4⋊Dic53C2412yes—
583C4⋊Dic53C2414yes—
584C4⋊Dic53C2414yes—
585C4⋊Dic53C2414yes—
586C4⋊Dic53C2412yes—
587C4⋊Dic53C2414yes—
588C4⋊Dic53C2414yes—
589C4⋊Dic53C2414yes—
590#11719919C2418yes—
591#11719919C2418yes—
592#11719919C2418yes—
593#11719919C2418yes—
594#11719919C2418yes—
595#11719919C2414yes—
596#11719919C2418yes—
597#11719919C2414yes—
598#11719919C2414yes—
599#11719919C2418yes—
600#11719919C2414yes—
601#11719919C2414yes—
602#11719919C2418yes—
603#11719919C2418yes—
604#11719919C2414yes—
605#11719919C2414yes—
606#11719919C2414yes—
607#11719919C2414yes—
608#11719919C2414yes—
609C4×Dic53C2414yes—
610C4×Dic53C2414yes—
611C4×Dic53C2414yes—
612C4×Dic53C2412yes—
613C4×Dic53C2412yes—
614C4×Dic53C2414yes—
615C4×Dic53C2414yes—
616C4×Dic53C2412yes—
617C4×Dic53C2412yes—
618C4×Dic53C2412yes—
619C4×Dic53C2414yes—
620C4×Dic53C2412yes—
621C4×Dic53C2414yes—
622C4×Dic53C2414yes—
623C4×Dic53C2418yes—
624C4×Dic53C2418yes—
625C4×Dic53C2414yes—
626C4×Dic53C2418yes—
627C4×Dic53C2418yes—
628C23×C53C2514yes—
629C23×C53C2511yescharacteristic
630C22×D53—22no—
631C22×D53—22no—
632C22×D53—22no—
633C22×D53C2514yes—
634C22×D53C2511yescharacteristic
635C22×D53C2511yescharacteristic
636Q8×C53—28no—
637Q8×C53—24no—
638Q8×C53—44no—
639D4×C53—28no—
640D4×C53—24no—
641D4×C53—44no—
642C2×C4×C53—24no—
643C2×C4×C53—28no—
644C2×C4×C53—22no—
645C2×C4×C53—28no—
646C2×C4×C53—42no—
647C2×C4×C53—41no—
648C2×C4×C53—44no—
649C2×C4×C53C2×#4114yes—
650C2×C4×C53C2514yes—
651C2×C4×C53C2514yes—
652C2×C4×C53C2514yes—
653C2×C4×C53C2514yes—
654C2×C4×C53C2514yes—
655C2×C4×C53C2512yes—
656C2×C4×C53C2511yescharacteristic
657C2×C4×C53C2512yes—
658C2×C4×C53C2511yescharacteristic
659C22⋊D53—28no—
660C22⋊D53—28no—
661C22⋊D53—28no—
662C22⋊D53—216no—
663C22⋊D53—28no—
664C22⋊D53—44no—
665C2×Dic53—22no—
666C2×Dic53—216no—
667C2×Dic53—22no—
668C2×Dic53—41no—
669C2×Dic53—42no—
670C2×Dic53—48no—
671C2×Dic53C2×#4118yes—
672C2×Dic53C2512yes—
673C2×Dic53C2514yes—
674C2×Dic53C2514yes—
675C2×Dic53C2512yes—
676C2×Dic53C2514yes—
677C2×Dic53C2514yes—
678C2×Dic53C2511yescharacteristic
679C2×Dic53C2514yes—
680C2×Dic53C2511yescharacteristic
681D212—28no—
682D212—28no—
683D212—24no—
684D212—44no—
685C4×D53—22no—
686C4×D53—24no—
687C4×D53—28no—
688C4×D53—24no—
689C4×D53—24no—
690C4×D53—28no—
691C4×D53—22no—
692C4×D53—28no—
693C4×D53—28no—
694C4×D53—28no—
695C4×D53—216no—
696C4×D53—22no—
697C4×D53—42no—
698C4×D53—44no—
699C4×D53—44no—
700C4×D53—48no—
701C4×D532−1+414yescomplemented
702Dic106—24no—
703Dic106—216no—
704Dic106—216no—
705Dic106—28no—
706Dic106—44no—
707Dic106—44no—
708Dic106C2×#41116yes—
709#62788—531nomaximal, Sylow
710C22×C53—21no—
711C22×C53—21no—
712C22×C53—24no—
713C22×C53—24no—
714C22×C53—24no—
715C22×C53C22×#4112yes—
716C22×C53C2611yescharacteristic
717C2×D53—28no—
718C2×D53—21no—
719C2×D53—21no—
720C2×D53—21no—
721C2×D53—21no—
722C2×D53—24no—
723C2×D53—24no—
724C2×D53—24no—
725C2×D53C2×2−1+412yes—
726C2×D53#58512yes—
727C4×C53—24no—
728C4×C53—24no—
729C4×C53—24no—
730C4×C53—21no—
731C4×C53—24no—
732C4×C53—24no—
733C4×C53—22no—
734C4×C53C22×#4114yes—
735C4×C53C2×2−1+412yes—
736Dic53—22no—
737Dic53—24no—
738Dic53—24no—
739Dic53—21no—
740Dic53—24no—
741Dic53—22no—
742Dic53—24no—
743Dic53C22×#4118yes—
744Dic53C2×2−1+412yes—
745#3523—534no—
746#3522—534no—
747#3516—534no—
748#3516—534no—
749#3507—534no—
750#3507—532no—
751#3502—531no—
752#3497—531no—
753#3492—531no—
754#3492—534no—
755#3492—531no—
756#3486—532no—
757#3482—534no—
758#3482—534no—
759#3480—534no—
760Q8×#41—534no—
761#3461—534no—
762#3461—531no—
763#3461D5311yescharacteristic, complemented
764#3444—534no—
765#3444—532no—
766C4×2−1+4—532no—
767C22×C4×Q8—531no—
768C2×C53—22no—
769C2×C53—44no—
770C2×C53C23×#4111yescharacteristic
771C2×C53C22×2−1+411yescharacteristic
772C2×C53C2×#58511yescharacteristic
773D53—22no—
774D53—22no—
775D53—44no—
776C2×2−1+4—532no—
777C23×Q8—531no—
778#559—534no—
779#559—538no—
780Q82—534no—
781#557—534no—
782#557—534no—
783#557—538no—
784#557—534no—
785#557—534no—
786#556—534no—
787#556—538no—
788#556—538no—
789#556—534no—
790#556—534no—
791#556—538no—
792#554—534no—
793#554—538no—
794#554—538no—
795#554—538no—
796#554—534no—
797#554—534no—
798#553—538no—
799#553—534no—
800#553—538no—
801#553—534no—
802#552—538no—
803#552—538no—
804#552—538no—
805#552—534no—
806#552—538no—
807#552—534no—
808#552—534no—
809#552—534no—
810#550—534no—
811D4×Q8—534no—
812D4×Q8—534no—
813D4×Q8—534no—
814D4×Q8—534no—
815D4×Q8—534no—
816#548—534no—
817#548—534no—
818#548—534no—
819#548—534no—
820#548—534no—
821#548—534no—
822#547—534no—
823#547—538no—
824#547—538no—
825#547—534no—
826#544—534no—
827#544—531no—
828#544C2×D5311yescharacteristic
829#542—538no—
830#542—538no—
831#542—534no—
832#542C2×D5314yescomplemented
833#541—538no—
834#541—538no—
835#541—534no—
836#541C2×D5314yescomplemented
837#539—538no—
838#539—534no—
839#539—534no—
840#539—534no—
841#539C2×D5314yes—
842#537—534no—
843#537—531no—
844#537C2×D5311yescharacteristic
845#536—532no—
846#536—538no—
847#536C2×D5312yes—
848#533—534no—
849#533—534no—
850#533—534no—
851#533—532no—
852#533—532no—
853#533—538no—
854#533—534no—
855#533—532no—
856#533—538no—
857#533C2×D5314yescomplemented
858#532—532no—
859#532—534no—
860#532—534no—
861#532—534no—
862#532—532no—
863#532—532no—
864#529—538no—
865#529—538no—
866#529—534no—
867#529—534no—
868#529—538no—
869#529—532no—
870#529—532no—
871#529—534no—
872#529—534no—
873#529—534no—
874#529—532no—
875#529—532no—
876#529—538no—
877#529—538no—
878#529—534no—
879#529—534no—
880#529—538no—
881#529—534no—
882#529C2×D5314yes—
883#529C2×D5314yescomplemented
884#525—532no—
885#525—538no—
886#525—534no—
887#525—534no—
888#525—534no—
889#525—534no—
890#525—532no—
891#520—532no—
892#520—538no—
893#520—534no—
894#520—532no—
895#520—534no—
896#519—534no—
897#519—532no—
898#519—534no—
899C4×#41—534no—
900C4×#41—538no—
901C4×#41—534no—
902C4×#41—534no—
903C4×#41—538no—
904C4×#41—532no—
905C4×#41—534no—
906C4×#41—534no—
907C4×#41—534no—
908C4×#41C2×D5312yes—
909C2×C4×Q8—531no—
910C2×C4×Q8—534no—
911C2×C4×Q8—534no—
912C2×C4×Q8—534no—
913C2×C4×Q8—534no—
914C2×C4×Q8—534no—
915C2×C4×Q8—531no—
916C2×C4×Q8—532no—
917C2×C4×Q8—531no—
918C2×C4×Q8—532no—
919C2×C4×Q8—534no—
920C2×C4×Q8C2×D5311yescharacteristic
921C22×C4⋊C4—532no—
922C22×C4⋊C4—531no—
923C22×C42—532no—
924C22×C42—531no—
925C53#6278811yescharacteristic, complemented, Sylow
9262−1+4—10616no—
927C2×#41—534no—
928C2×#41—538no—
929C2×#41—534no—
930C2×#41—534no—
931C2×#41—534no—
932C2×#41—532no—
933C2×#41—534no—
934C2×#41—534no—
935C2×#41C22×D5312yes—
936C22×Q8—534no—
937C22×Q8—534no—
938C22×Q8—534no—
939C22×Q8—531no—
940C22×Q8—532no—
941C22×Q8—534no—
942C22×Q8—1068no—
943C22×Q8C22×D5311yescharacteristic
944C23×C4—532no—
945C23×C4—531no—
946C23×C4—531no—
947C23×C4—532no—
948C23×C4—531no—
949C4⋊Q8—532no—
950C4⋊Q8—534no—
951C4⋊Q8—534no—
952C4⋊Q8—538no—
953C4⋊Q8—534no—
954C4⋊Q8—532no—
955C4⋊Q8—534no—
956C4⋊Q8—532no—
957C4⋊Q8—538no—
958C4⋊Q8—538no—
959C4⋊Q8—538no—
960C4⋊Q8—534no—
961C4⋊Q8C22×D5314yes—
962C4⋊Q8C22×D5314yes—
963#127—534no—
964#127—532no—
965#126—534no—
966#126—538no—
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—538no—
977#126C22×D5318yes—
978#126C22×D5318yes—
979#125—534no—
980#125—538no—
981#125—532no—
982#125—532no—
983#125—538no—
984#125—534no—
985#125—538no—
986#125—538no—
987#125—534no—
988#125—538no—
989#125—538no—
990#125—538no—
991#125—538no—
992#125—538no—
993#125—534no—
994#125C22×D5314yes—
995#125C22×D5314yes—
996#125C22×D5318yes—
997#124—532no—
998#124—534no—
999#124—532no—
1000#124—534no—
1001#124—538no—
1002#124—538no—
1003#124—534no—
1004#124—538no—
1005#124—538no—
1006#124—534no—
1007#124C22×D5314yes—
1008#124C22×D5314yes—
1009#123—534no—
1010#123—538no—
1011#123—538no—
1012#123—534no—
1013#123—538no—
1014#123—534no—
1015#123—538no—
1016#123—538no—
1017#123—534no—
1018#123—534no—
1019#123—538no—
1020#123—534no—
1021#123—538no—
1022#123—538no—
1023#123C22×D5318yes—
1024#123C22×D5318yes—
1025C22⋊Q8—532no—
1026C22⋊Q8—532no—
1027C22⋊Q8—534no—
1028C22⋊Q8—534no—
1029C22⋊Q8—534no—
1030C22⋊Q8—538no—
1031C22⋊Q8—534no—
1032C22⋊Q8—534no—
1033C22⋊Q8—538no—
1034C22⋊Q8—532no—
1035C22⋊Q8—538no—
1036C22⋊Q8—532no—
1037C22⋊Q8—534no—
1038C22⋊Q8—534no—
1039C22⋊Q8—538no—
1040C22⋊Q8—538no—
1041C22⋊Q8—538no—
1042C22⋊Q8—534no—
1043C22⋊Q8—538no—
1044C22⋊Q8—538no—
1045C22⋊Q8—534no—
1046C22⋊Q8—534no—
1047C22⋊Q8—538no—
1048C22⋊Q8—538no—
1049C22⋊Q8—538no—
1050C22⋊Q8—538no—
1051C22⋊Q8—538no—
1052C22⋊Q8C22×D5314yes—
1053C22⋊Q8C22×D5314yes—
1054C22⋊Q8C22×D5314yes—
1055C22⋊Q8C22×D5314yes—
1056C22⋊Q8C22×D5318yes—
1057#121—534no—
1058#121—534no—
1059#121—532no—
1060#121—532no—
1061#121—534no—
1062#121—538no—
1063#121—534no—
1064#121—532no—
1065#121—532no—
1066#121—534no—
1067#121—534no—
1068#121—534no—
1069#121—538no—
1070#121—538no—
1071#121—534no—
1072#121—538no—
1073#121C22×D5314yes—
1074#121C22×D5314yes—
1075#120—534no—
1076#120—534no—
1077C4×Q8—534no—
1078C4×Q8—534no—
1079C4×Q8—534no—
1080C4×Q8—534no—
1081C4×Q8—534no—
1082C4×Q8—534no—
1083C4×Q8—538no—
1084C4×Q8—538no—
1085C4×Q8—534no—
1086C4×Q8—538no—
1087C4×Q8—538no—
1088C4×Q8—534no—
1089C4×Q8—538no—
1090C4×Q8—534no—
1091C4×Q8—538no—
1092C4×Q8—534no—
1093C4×Q8—534no—
1094C4×Q8—538no—
1095C4×Q8—538no—
1096C4×Q8—538no—
1097C4×Q8—532no—
1098C4×Q8—534no—
1099C4×Q8—534no—
1100C4×Q8—538no—
1101C4×Q8—532no—
1102C4×Q8—534no—
1103C4×Q8—534no—
1104C4×Q8—534no—
1105C4×Q8—534no—
1106C4×Q8—534no—
1107C4×Q8—534no—
1108C4×Q8C22×D5314yes—
1109C4×Q8C22×D5314yes—
1110C4×Q8C22×D5312yes—
1111C4×Q8C22×D5314yes—
1112C4×Q8C22×D5312yes—
1113C4×D4—538no—
1114C4×D4—534no—
1115C4×D4—534no—
1116C4×D4—534no—
1117C4×D4—534no—
1118C4×D4—538no—
1119C4×D4—534no—
1120C4×D4—538no—
1121C4×D4—534no—
1122C4×D4—534no—
1123C4×D4—534no—
1124C4×D4—534no—
1125C4×D4—534no—
1126C4×D4—534no—
1127C4×D4—534no—
1128C4×D4—538no—
1129C4×D4—538no—
1130C4×D4—538no—
1131C4×D4—534no—
1132C4×D4—538no—
1133C4×D4—538no—
1134C4×D4—538no—
1135C4×D4—538no—
1136C4×D4—538no—
1137C4×D4—538no—
1138C4×D4—538no—
1139C4×D4—538no—
1140C4×D4—534no—
1141C4×D4—532no—
1142C4×D4—532no—
1143C4×D4—534no—
1144C4×D4—534no—
1145C4×D4—534no—
1146C4×D4—534no—
1147C4×D4—534no—
1148C4×D4C22×D5314yes—
1149C4×D4C22×D5312yes—
1150C4×D4C22×D5314yes—
1151C4×D4C22×D5314yes—
1152C4×D4C22×D5312yes—
1153#117—532no—
1154#117—534no—
1155#117—534no—
1156#117—534no—
1157#117—538no—
1158#117—534no—
1159#117—534no—
1160#117—534no—
1161#117—538no—
1162#117—538no—
1163#117—538no—
1164#117—538no—
1165#117—538no—
1166#117—534no—
1167#117—534no—
1168#117—538no—
1169#117—534no—
1170#117—538no—
1171#117—534no—
1172#117—534no—
1173#117C22×D5318yes—
1174#117C22×D5312yes—
1175#117C22×D5314yes—
1176C2×C4⋊C4—532no—
1177C2×C4⋊C4—531no—
1178C2×C4⋊C4—532no—
1179C2×C4⋊C4—532no—
1180C2×C4⋊C4—532no—
1181C2×C4⋊C4—538no—
1182C2×C4⋊C4—534no—
1183C2×C4⋊C4—538no—
1184C2×C4⋊C4—534no—
1185C2×C4⋊C4—538no—
1186C2×C4⋊C4—534no—
1187C2×C4⋊C4—538no—
1188C2×C4⋊C4—534no—
1189C2×C4⋊C4C22×D5311yescharacteristic
1190C2×C4⋊C4C22×D5312yes—
1191C2×C42—532no—
1192C2×C42—531no—
1193C2×C42—532no—
1194C2×C42—531no—
1195C2×C42—532no—
1196C2×C42—531no—
1197C2×C42—538no—
1198C2×C42—534no—
1199C2×C42—532no—
1200C2×C42—534no—
1201C2×C42—532no—
1202C2×C42—534no—
1203C2×C42—532no—
1204C2×C42—534no—
1205C2×C42—532no—
1206C2×C42—538no—
1207C2×C42—534no—
1208C2×C42C22×D5311yescharacteristic
1209C2×C42C22×D5312yes—
1210C2×C42C22×D5314yes—
1211C24—531no—
1212#41—28no—
1213#41—10616no—
1214#41—10616no—
1215#41—10632no—
1216#41—10616no—
1217#41—1068no—
1218#41—2128no—
1219#41—2128no—
1220#41—2128no—
1221C2×Q8—24no—
1222C2×Q8—538no—
1223C2×Q8—534no—
1224C2×Q8—534no—
1225C2×Q8—538no—
1226C2×Q8—538no—
1227C2×Q8—532no—
1228C2×Q8—534no—
1229C2×Q8—534no—
1230C2×Q8—1068no—
1231C2×Q8—10616no—
1232C2×Q8—10616no—
1233C2×Q8—10616no—
1234C2×Q8—10616no—
1235C2×Q8C23×D5314yes—
1236C2×Q8C23×D5312yes—
1237C2×Q8C23×D5314yes—
1238C2×D4—534no—
1239C2×D4—534no—
1240C2×D4—534no—
1241C2×D4—534no—
1242C2×D4—538no—
1243C2×D4—534no—
1244C2×D4—534no—
1245C2×D4—534no—
1246C2×D4—532no—
1247C2×D4—534no—
1248C2×D4C23×D5314yes—
1249C2×D4C23×D5312yes—
1250C2×D4C23×D5314yes—
1251C22×C4—532no—
1252C22×C4—531no—
1253C22×C4—531no—
1254C22×C4—531no—
1255C22×C4—538no—
1256C22×C4—532no—
1257C22×C4—531no—
1258C22×C4—538no—
1259C22×C4—531no—
1260C22×C4—531no—
1261C22×C4—534no—
1262C22×C4—532no—
1263C22×C4—534no—
1264C22×C4—534no—
1265C22×C4—532no—
1266C22×C4—532no—
1267C22×C4—538no—
1268C22×C4—534no—
1269C22×C4—531no—
1270C22×C4—534no—
1271C22×C4—534no—
1272C22×C4—532no—
1273C22×C4—538no—
1274C22×C4—534no—
1275C22×C4—1064no—
1276C22×C4—1068no—
1277C22×C4—1064no—
1278C22×C4—2122no—
1279C22×C4—2124no—
1280C22×C4C23×D5312yes—
1281C22×C4C23×D5314yes—
1282C22×C4C23×D5311yescharacteristic
1283C22×C4C23×D5314yes—
1284C22×C4C23×D5311yescharacteristic
1285C22×C4C23×D5312yes—
1286C22×C4C23×D5314yes—
1287C22×C4C23×D5311yescharacteristic
1288C4⋊C4—538no—
1289C4⋊C4—534no—
1290C4⋊C4—538no—
1291C4⋊C4—538no—
1292C4⋊C4—538no—
1293C4⋊C4—538no—
1294C4⋊C4—532no—
1295C4⋊C4—538no—
1296C4⋊C4—534no—
1297C4⋊C4—538no—
1298C4⋊C4—538no—
1299C4⋊C4—532no—
1300C4⋊C4—534no—
1301C4⋊C4—534no—
1302C4⋊C4—534no—
1303C4⋊C4—534no—
1304C4⋊C4—534no—
1305C4⋊C4—534no—
1306C4⋊C4—534no—
1307C4⋊C4—534no—
1308C4⋊C4—534no—
1309C4⋊C4—534no—
1310C4⋊C4—538no—
1311C4⋊C4—534no—
1312C4⋊C4—534no—
1313C4⋊C4—538no—
1314C4⋊C4—534no—
1315C4⋊C4—538no—
1316C4⋊C4—534no—
1317C4⋊C4—534no—
1318C4⋊C4C23×D5314yes—
1319C4⋊C4C23×D5318yes—
1320C4⋊C4C23×D5312yes—
1321C4⋊C4C23×D5314yes—
1322C4⋊C4C23×D5312yes—
1323C4⋊C4C23×D5314yes—
1324C4⋊C4C23×D5314yes—
1325C4⋊C4C23×D5318yes—
1326C4⋊C4C23×D5314yes—
1327C4⋊C4C23×D5318yes—
1328C4⋊C4C23×D5318yes—
1329C22⋊C4—534no—
1330C22⋊C4—538no—
1331C22⋊C4—534no—
1332C22⋊C4—534no—
1333C22⋊C4—534no—
1334C22⋊C4—534no—
1335C22⋊C4—534no—
1336C22⋊C4—534no—
1337C22⋊C4—538no—
1338C22⋊C4—534no—
1339C22⋊C4—534no—
1340C22⋊C4—534no—
1341C22⋊C4—534no—
1342C22⋊C4—534no—
1343C22⋊C4—538no—
1344C22⋊C4—534no—
1345C22⋊C4—534no—
1346C22⋊C4—538no—
1347C22⋊C4—538no—
1348C22⋊C4—534no—
1349C22⋊C4C23×D5314yes—
1350C22⋊C4C23×D5314yes—
1351C22⋊C4C23×D5314yes—
1352C22⋊C4C23×D5318yes—
1353C22⋊C4C23×D5318yes—
1354C22⋊C4C23×D5318yes—
1355C42—534no—
1356C42—534no—
1357C42—532no—
1358C42—534no—
1359C42—532no—
1360C42—534no—
1361C42—532no—
1362C42—534no—
1363C42—532no—
1364C42—532no—
1365C42—538no—
1366C42—538no—
1367C42—534no—
1368C42—538no—
1369C42—538no—
1370C42—534no—
1371C42—534no—
1372C42—532no—
1373C42—534no—
1374C42C23×D5312yes—
1375C42C23×D5314yes—
1376C42C23×D5314yes—
1377C42C23×D5314yes—
1378C42C23×D5312yes—
1379C42C23×D5314yes—
1380C42C23×D5314yes—
1381C23—531no—
1382C23—531no—
1383C23—534no—
1384C23—1062no—
1385C23—1062no—
1386C23—1062no—
1387C23C24×D5314yes—
1388C23C24×D5311yescharacteristic
1389Q8—28no—
1390Q8—24no—
1391Q8—44no—
1392Q8—5316no—
1393Q8—10616no—
1394Q8—10616no—
1395Q8—1068no—
1396Q8—1064no—
1397Q8—2124no—
1398Q8—2124no—
1399D4—28no—
1400D4—24no—
1401D4—44no—
1402D4—1068no—
1403D4—1068no—
1404D4—1068no—
1405D4—10616no—
1406D4—1068no—
1407D4—1068no—
1408D4—1068no—
1409D4—1064no—
1410D4—2124no—
1411D4—2124no—
1412C2×C4—24no—
1413C2×C4—28no—
1414C2×C4—22no—
1415C2×C4—28no—
1416C2×C4—41no—
1417C2×C4—42no—
1418C2×C4—44no—
1419C2×C4—538no—
1420C2×C4—531no—
1421C2×C4—534no—
1422C2×C4—534no—
1423C2×C4—531no—
1424C2×C4—534no—
1425C2×C4—534no—
1426C2×C4—532no—
1427C2×C4—534no—
1428C2×C4—534no—
1429C2×C4—532no—
1430C2×C4—1062no—
1431C2×C4—1068no—
1432C2×C4—1068no—
1433C2×C4—10616no—
1434C2×C4—1062no—
1435C2×C4—1064no—
1436C2×C4—1068no—
1437C2×C4—1062no—
1438C2×C4—10616no—
1439C2×C4—1062no—
1440C2×C4—1064no—
1441C2×C4—1064no—
1442C2×C4—1068no—
1443C2×C4—1062no—
1444C2×C4—1068no—
1445C2×C4—2122no—
1446C2×C4—2124no—
1447C2×C4—2124no—
1448C2×C4—2128no—
1449C2×C4—2122no—
1450C2×C4—2121no—
1451C2×C4—2128no—
1452C2×C4#41×D5314yes—
1453C2×C4C24×D5311yescharacteristic
1454C2×C4C24×D5312yes—
1455C2×C4C24×D5314yes—
1456C2×C4C24×D5314yes—
1457C2×C4C24×D5314yes—
1458C2×C4C24×D5314yes—
1459C2×C4C24×D5314yes—
1460C2×C4C24×D5312yes—
1461C2×C4C24×D5311yescharacteristic
1462C22—21no—
1463C22—21no—
1464C22—24no—
1465C22—24no—
1466C22—24no—
1467C22—532no—
1468C22—532no—
1469C22—1068no—
1470C22—1061no—
1471C22—1061no—
1472C22—1061no—
1473C22—1061no—
1474C22—1064no—
1475C22—1064no—
1476C22—1064no—
1477C22C2×#41×D5312yes—
1478C22C25×D5311yescharacteristic
1479C4—24no—
1480C4—24no—
1481C4—21no—
1482C4—24no—
1483C4—22no—
1484C4—24no—
1485C4—24no—
1486C4—538no—
1487C4—532no—
1488C4—1064no—
1489C4—1062no—
1490C4—1061no—
1491C4—1064no—
1492C4—1064no—
1493C4—1062no—
1494C4—1064no—
1495C4C2×#41×D5314yes—
1496C42−1+4×D5312yes—
1497C2—22no—
1498C2—44no—
1499C2—1062no—
1500C2—1062no—
1501C2—2124no—
1502C2C22×#41×D5311yescharacteristic
1503C2C2×2−1+4×D5311yescharacteristic
1504C2#585×D5311yescharacteristic
subgroupG/H
centerC2×C4C24×D53
commutator, socle, cosocleC22×C53C26
FrattiniC22C25×D53
FittingC53×#3461C2
hypercenter#3461D53
hypocenterC53#62788
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C2×C4 ◁ #3461

Complements

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

NH ≅ G/Ntype
1. #20288807C2semidirect
2. #20288796C2semidirect
3. #20288706C2semidirect
4. #20288702C2semidirect
5. #20288579C2semidirect
6. #20288575C2semidirect
7. #20288523C2semidirect
8. #20288484C2semidirect
9. #20288425C2semidirect
10. #20288422C2semidirect
11. #20288420C2semidirect
12. #20288364C2semidirect
13. #20288333C2semidirect
14. #20288328C2semidirect
15. #20288306C2semidirect
16. #20288293C2semidirect
17. #20288148C2semidirect
18. #20288144C2semidirect
19. #20288009C2semidirect
20. #20288008C2semidirect
21. C4×#13133264C2semidirect
22. C2×C4×Q8×D53C2semidirect
23. C53×#3461C2semidirect
26. #16811357C22semidirect
27. #16811355C22semidirect
28. #16811353C22semidirect
29. #16811350C22semidirect
30. #16811350C22semidirect
31. #16811350C22semidirect
32. #16811348C22semidirect
33. #16811348C22semidirect
34. #16811347C22semidirect
35. #16811344C22semidirect
36. #16811344C22semidirect
37. #16811342C22semidirect
38. #16811340C22semidirect
39. #16811340C22semidirect
42. #16811331C22semidirect
45. #16811327C22semidirect
50. #16811315C22semidirect
52. #16811310C22semidirect
55. #16811307C22semidirect
57. #16811305C22semidirect
58. #16811291C22semidirect
63. #16811286C22semidirect
66. #16811283C22semidirect
69. #16811279C22semidirect
76. #16811245C22semidirect
77. #16811239C22semidirect
78. #16811237C22semidirect
79. #16811232C22semidirect
80. #16811231C22semidirect
81. #16811230C22semidirect
94. #16811177C22semidirect
95. #16811177C22semidirect
97. #16811176C22semidirect
107. #16811160C22semidirect
116. #16811153C22semidirect
121. #16811151C22semidirect
132. #16811103C22semidirect
134. #16811102C22semidirect
136. #16811100C22semidirect
137. #16811099C22semidirect
142. C4×#11719945C22semidirect
146. C4×#11719947C22semidirect
150. C2×C4×Dic106C22semidirect
157. C4×Q8×D53C22semidirect
163. C53×#542C22semidirect
164. C53×#541C22semidirect
168. C53×#533C22semidirect
170. C53×#529C22semidirect
527. C2×Dic106#41semidirect
701. C4×D532−1+4semidirect
763. #3461D53semidirect
832. #542C2×D53semidirect
836. #541C2×D53semidirect
857. #533C2×D53semidirect
883. #529C2×D53semidirect
925. C53#62788semidirect

Maximal subgroups

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

subgroupindex
#202888072
#202887962
#202887062
#202887022
#202885792
#202885752
#202885232
#202884842
#202884252
#202884222
#202884202
#202883642
#202883332
#202883282
#202883062
#202882932
#202881482
#202881442
#202880092
#202880082
C4×#131332642
C2×C4×Q8×D532
C53×#34612
#6278853