Finite Group Databasebeta

← #28293275

Subgroups — #28293275

Order 13568.

7310 conjugacy classes of subgroups.

The subgroup lattice has 1524 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288819C214yesmaximal, complemented
2#20288746C214yesmaximal, complemented
3#20288736C218yesmaximal, complemented
4#20288718C214yesmaximal, complemented
5#20288654C214yesmaximal, complemented
6#20288648C218yesmaximal, complemented
7#20288637C211yesmaximal, characteristic, complemented
8#20288634C212yesmaximal, complemented
9#20288587C212yesmaximal, complemented
10#20288536C211yesmaximal, characteristic, complemented
11#20288491C211yesmaximal, characteristic, complemented
12#20288445C214yesmaximal, complemented
13#20288440C212yesmaximal, complemented
14#20288382C212yesmaximal, complemented
15#20288129C214yesmaximal, complemented
16#20288128C212yesmaximal, complemented
17#20288107C211yesmaximal, characteristic, complemented
18#20288099C212yesmaximal, complemented
19C2×#16811227C211yesmaximal, characteristic, complemented
20#540×D53C212yesmaximal, complemented
21#20287919C212yesmaximal, complemented
22#20287914C211yesmaximal, characteristic, complemented
23C53×#3508C211yesmaximal, characteristic, complemented
24C2×#13133262C2212yes—
25C2×#41×D53C2211yescharacteristic
26#16811357C2218yescomplemented
27#16811351C2214yescomplemented
28#16811338C2214yescomplemented
29#16811335C2218yescomplemented
30#16811333C2214yescomplemented
31#16811327C2218yescomplemented
32#16811323C2214yescomplemented
33#16811323C2214yescomplemented
34#16811323C2214yescomplemented
35#16811322C2218yescomplemented
36#16811322C2218yescomplemented
37#16811320C2218yescomplemented
38#16811318C2218yescomplemented
39#16811316C2218yescomplemented
40#16811316C2218yescomplemented
41#16811314C2214yescomplemented
42#16811310C2218yescomplemented
43#16811303C2218yescomplemented
44#16811302C2218yescomplemented
45#16811299C2218yescomplemented
46#16811293C2214yescomplemented
47#16811293C2214yescomplemented
48#16811291C2218yescomplemented
49#16811281C2214yescomplemented
50#16811278C2214yescomplemented
51#16811272C2218yescomplemented
52#16811266C2214yescomplemented
53#16811265C2218yescomplemented
54#16811263C2218yescomplemented
55#16811262C2218yescomplemented
56#16811262C2218yescomplemented
57#16811261C2218yescomplemented
58#16811260C2218yescomplemented
59#16811258C2214yescomplemented
60#16811258C2214yescomplemented
61D4×C22⋊D53C2218yescomplemented
62#16811255C2218yescomplemented
63#16811251C2212yescomplemented
64#16811250C2214yescomplemented
65#16811247C2212yescomplemented
66#16811247C2212yescomplemented
67#16811242C2214yescomplemented
68#16811240C2214yescomplemented
69#16811238C2214yescomplemented
70#16811237C2218yescomplemented
71#16811236C2211yescharacteristic, complemented
72#16811236C2211yescharacteristic, complemented
73#16811235C2212yescomplemented
74#16811229C2211yescharacteristic, complemented
75#16811229C2211yescharacteristic, complemented
76#16811228C2212yescomplemented
77#16811227C2214yescomplemented
78#16811227C2212yescomplemented
79#16811227C2212yescomplemented
80#16811227C2212yescomplemented
81#16811227C2214yescomplemented
82#16811227C2212yescomplemented
83#16811227C2214yescomplemented
84#16811226C2214yescomplemented
85#16811225C2218yescomplemented
86#16811224C2214yescomplemented
87#16811223C2218yescomplemented
88#16811223C2218yescomplemented
89#16811222C2214yescomplemented
90#16811216C2218yescomplemented
91#16811213C2214yescomplemented
92#16811208C2218yescomplemented
93#16811207C2218yescomplemented
94#16811205C2218yescomplemented
95#16811205C2218yescomplemented
96#16811202C2214yescomplemented
97#16811201C2212yescomplemented
98#16811190C2212yescomplemented
99#16811189C2214yescomplemented
100#16811186C2214yescomplemented
101#16811179C2212yescomplemented
102#16811173C2211yescharacteristic, complemented
103#16811171C2212yescomplemented
104#16811171C2214yescomplemented
105#16811170C2214yescomplemented
106#16811169C2218yescomplemented
107#16811168C2214yescomplemented
108#127×D53C2212yescomplemented
109#16811160C2214yescomplemented
110#16811160C2214yescomplemented
111#16811157C2214yescomplemented
112#16811155C2214yescomplemented
113#16811154C2218yescomplemented
114#16811154C2214yescomplemented
115#16811153C2218yescomplemented
116#16811152C2214yescomplemented
117#16811150C2218yescomplemented
118C2×#13133209C2211yescharacteristic, complemented
119#125×D53C2212yescomplemented
120#16811135C2212yescomplemented
121#16811133C2214yescomplemented
122#16811132C2218yescomplemented
123#16811130C2218yescomplemented
124#16811129C2218yescomplemented
125C2×#13133198C2214yescomplemented
126#123×D53C2218yescomplemented
127C2×#13133189C2214yescomplemented
128C2×#13133188C2212yescomplemented
129#121×D53C2214yescomplemented
130#121×D53C2218yescomplemented
131#16811105C2212yescomplemented
132#16811103C2212yes—
133#16811103C2212yescomplemented
134#16811102C2214yescomplemented
135#16811102C2214yescomplemented
136#16811102C2214yescomplemented
137#16811102C2212yescomplemented
138#16811099C2212yescomplemented
139#16811096C2218yescomplemented
140#16811095C2214yescomplemented
141#16811095C2214yescomplemented
142#16811095C2214yescomplemented
143#16811095C2212yescomplemented
144#41×Dic53C2211yescharacteristic, complemented
145C4×#11719945C2211yescharacteristic
146C4×#11719945C2212yescomplemented
147#16811091C2211yescharacteristic
148#16811091C2212yescomplemented
149#16811091C2212yescomplemented
150C4×#11719947C2214yescomplemented
151C4×#11719947C2214yescomplemented
152C2×D4×Dic53C2212yescomplemented
153C2×#13133177C2218yescomplemented
154C4×D4×D53C2214yescomplemented
155C4×D4×D53C2214yescomplemented
156C2×#13133174C2211yescharacteristic, complemented
157C2×#13133174C2212yescomplemented
158#117×D53C2212yescomplemented
159#117×D53C2211yescharacteristic, complemented
160C53×#559C2214yescomplemented
161C53×#550C2214yescomplemented
162C53×#546C2218yescomplemented
163C53×#540C2212yescomplemented
164C53×#540C2212yescomplemented
165C53×#535C2212yescomplemented
166C53×#533C2211yescharacteristic, complemented
167C53×#532C2214yescomplemented
168C2×#127×C53C2211yescharacteristic, complemented
169C53×#518C2212yescomplemented
170C4×#41×C53C2211yescharacteristic, complemented
171#13133262—216no—
172C2×#11719949C2311yescharacteristic
173C2×#11719945C2312yes—
174C2×#11719945C2312yes—
175C2×#11719945C2318yes—
176C2×#11719945C2311yescharacteristic
177C2×#11719947C2314yes—
178C2×#11719947C2311yescharacteristic
179C2×#11719947C2314yes—
180C2×#11719947C2312yes—
181C2×#11719947C2318yes—
182#41×D53—28no—
183C2×Q8×D53C2311yescharacteristic
184C22×C22⋊D53C2318yes—
185C22×C22⋊D53C2314yes—
186C2×D4×D53C2314yes—
187C2×D4×D53C2314yes—
188C2×D4×D53C2312yes—
189C2×D4×D53C2311yescharacteristic
190C2×D4×D53C2318yes—
191C2×D4×D53C2318yes—
192C23×Dic53C2314yes—
193C22×C4×D53C2312yes—
194C22×C4×D53C2311yescharacteristic
195C22×C4×D53C2318yes—
196#13133217C2314yes—
197#13133217C2311yescharacteristic
198#13133216C2314yes—
199#13133215C2318yes—
200#13133214C2311yescharacteristic
201#13133213C2318yes—
202#13133213C2318yes—
203#13133213C2314yes—
204#13133212C2314yes—
205#13133212C2314yes—
206#13133212C2314yes—
207#13133212C2314yes—
208#13133211C2318yes—
209#13133210C2318yes—
210#13133210C2318yes—
211#13133210C2318yes—
212#13133210C2318yes—
213#13133210C2318yes—
214#13133209C2314yes—
215#13133209C2314yes—
216#13133209C2312yes—
217#13133209C2312yes—
218#13133208C2314yes—
219#13133208C2314yes—
220#13133208C2314yes—
221#13133207C2318yes—
222#13133207C2318yes—
223#13133207C2318yes—
224#13133206C2314yes—
225#13133206C2314yes—
226#13133205C2312yes—
227#13133204C2314yes—
228#13133204C2318yes—
229#13133203C2318yes—
230#13133203C2318yes—
231#13133203C2318yes—
232#13133203C2318yes—
233#13133202C2318yes—
234#13133202C2314yes—
235#13133202C2314yes—
236#13133202C2314yes—
237#13133202C2314yes—
238#13133201C2314yes—
239#13133201C2318yes—
240#13133200C2318yes—
241#13133200C2318yes—
242#13133200C2318yes—
243#13133199C2318yes—
244#13133199C2318yes—
245#13133199C2318yes—
246#13133199C2318yes—
247#13133198C2318yes—
248#13133198C2318yes—
249#13133198C2318yes—
250#13133198C2318yes—
251#13133198C2318yes—
252#13133198C2318yes—
253#13133197C2312yes—
254#13133197C2312yes—
255#13133196C2318yes—
256#13133196C2314yes—
257#13133195C2318yes—
258#13133195C2318yes—
259#13133194C2318yes—
260#13133194C2318yes—
261#13133194C2318yes—
262#13133193C2314yes—
263#13133193C2314yes—
264#13133193C2318yes—
265#13133193C2314yes—
266#13133192C2314yes—
267#13133192C2312yes—
268#13133192C2314yes—
269#13133192C2312yes—
270#13133191C2314yes—
271#13133191C2318yes—
272#13133191C2314yes—
273#13133190C2318yes—
274#13133190C2318yes—
275#13133190C2318yes—
276#13133190C2318yes—
277#13133190C2318yes—
278#13133189C2318yes—
279#13133189C2318yes—
280#13133189C2318yes—
281#13133189C2318yes—
282#13133189C2318yes—
283#13133189C2318yes—
284#13133189C2318yes—
285#13133189C2318yes—
286#13133189C2318yes—
287#13133189C2318yes—
288#13133189C2318yes—
289#13133188C2314yes—
290#13133188C2314yes—
291#13133188C2314yes—
292#13133188C2314yes—
293#13133188C2314yes—
294#13133188C2318yes—
295#13133188C2318yes—
296#13133188C2314yes—
297#13133188C2318yes—
298#13133188C2314yes—
299#13133187C2318yes—
300#13133187C2314yes—
301#13133186C2318yes—
302#13133185C2318yes—
303#13133185C2318yes—
304#13133185C2318yes—
305#13133185C2318yes—
306Q8×Dic53C2312yes—
307C4×Dic106C2314yes—
308C4×Dic106C2312yes—
309C4×Dic106C2314yes—
310C4×Dic106C2314yes—
311#13133182C2318yes—
312#13133182C2314yes—
313#13133182C2312yes—
314#13133182C2312yes—
315#13133182C2312yes—
316C4×D212C2314yes—
317C4×D212C2314yes—
318C4×D212C2314yes—
319C4×D212C2314yes—
320C4×D212C2312yes—
321C4×D212C2314yes—
322C4×D212C2314yes—
323D4×Dic53C2318yes—
324D4×Dic53C2318yes—
325D4×Dic53C2318yes—
326D4×Dic53C2314yes—
327D4×Dic53C2314yes—
328D4×Dic53C2314yes—
329D4×Dic53C2314yes—
330D4×Dic53C2314yes—
331D4×Dic53C2312yes—
332#13133179C2314yes—
333#13133179C2312yes—
334#13133179C2312yes—
335#13133179C2312yes—
336C4×C22⋊D53C2318yes—
337C4×C22⋊D53C2318yes—
338C4×C22⋊D53C2318yes—
339C4×C22⋊D53C2318yes—
340C4×C22⋊D53C2318yes—
341C4×C22⋊D53C2314yes—
342C4×C22⋊D53C2318yes—
343C4×C22⋊D53C2318yes—
344C4×C22⋊D53C2314yes—
345C4×C22⋊D53C2314yes—
346#13133177C2318yes—
347#13133177C2318yes—
348#13133177C2314yes—
349#13133177C2318yes—
350#13133177C2318yes—
351#13133177C2318yes—
352#13133177C2314yes—
353#13133177C2318yes—
354#13133177C2318yes—
355#13133177C2318yes—
356#13133177C2314yes—
357#13133177C2314yes—
358#13133177C2314yes—
359#13133176C2318yes—
360#13133176C2311yescharacteristic
361#13133176C2312yes—
362#13133175C2314yes—
363#13133175C2312yes—
364#13133175C2314yes—
365#13133175C2314yes—
366#13133174C2314yes—
367#13133174C2318yes—
368#13133174C2314yes—
369#13133174C2312yes—
370#13133174C2311yescharacteristic
371#13133174C2311yescharacteristic
372#13133174C2312yes—
373#13133174C2311yescharacteristic
374#13133174C2312yes—
375#13133174C2311yescharacteristic
376#13133174C2312yes—
377#13133174C2312yes—
378#13133174C2314yes—
379#13133173C2312yes—
380#13133173C2318yes—
381#13133173C2318yes—
382#13133173C2314yes—
383#13133173C2318yes—
384C2×C4⋊Dic53C2312yes—
385C2×#11719919C2314yes—
386C2×#11719919C2318yes—
387C2×#11719919C2314yes—
388C2×#11719919C2312yes—
389C4⋊C4×D53C2312yes—
390C4⋊C4×D53C2314yes—
391C4⋊C4×D53C2318yes—
392C4⋊C4×D53C2314yes—
393C4⋊C4×D53C2314yes—
394C2×C22⋊Dic53C2314yes—
395C2×C22⋊Dic53C2314yes—
396C2×#11719921C2318yes—
397C2×#11719921C2312yes—
398C2×#11719921C2314yes—
399C22⋊C4×D53C2318yes—
400C22⋊C4×D53C2318yes—
401C22⋊C4×D53C2314yes—
402C22⋊C4×D53C2312yes—
403C22⋊C4×D53C2318yes—
404C2×C4×Dic53C2311yescharacteristic
405C2×C4×Dic53C2312yes—
406C2×C4×Dic53C2318yes—
407C42×D53C2312yes—
408C42×D53C2312yes—
409C42×D53C2312yes—
410C42×D53C2314yes—
411C2×#41×C53C2311yescharacteristic
412C2×#41×C53C2318yes—
413C22×D4×C53C2312yes—
414C22×D4×C53C2314yes—
415C4⋊Q8×C53C2312yes—
416#127×C53C2314yes—
417#127×C53C2314yes—
418#127×C53C2312yes—
419#127×C53C2312yes—
420#125×C53C2311yescharacteristic
421#125×C53C2311yescharacteristic
422#124×C53C2314yes—
423#124×C53C2318yes—
424#123×C53C2318yes—
425#123×C53C2318yes—
426C22⋊Q8×C53C2314yes—
427#121×C53C2318yes—
428#121×C53C2314yes—
429#121×C53C2314yes—
430#121×C53C2318yes—
431#121×C53C2318yes—
432#120×C53C2318yes—
433C4×Q8×C53C2312yes—
434C4×Q8×C53C2314yes—
435C4×D4×C53C2314yes—
436C4×D4×C53C2314yes—
437C4×D4×C53C2312yes—
438C4×D4×C53C2314yes—
439C4×D4×C53C2314yes—
440C4×D4×C53C2314yes—
441C4×D4×C53C2318yes—
442#117×C53C2311yescharacteristic
443#117×C53C2312yes—
444#117×C53C2312yes—
445C2×C22⋊C4×C53C2318yes—
446C2×C42×C53C2311yescharacteristic
447C2×C42×C53C2312yes—
448C24×C53C2414yes—
449C23×D53C2418yes—
450C23×D53C2412yes—
451C23×D53C2411yescharacteristic
452#41×C53—24no—
453#41×C53—88no—
454C2×Q8×C53C2411yescharacteristic
455C2×Q8×C53C2414yes—
456C2×D4×C53—28no—
457C2×D4×C53—84no—
458C2×D4×C53C2412yes—
459C2×D4×C53C2414yes—
460C2×D4×C53C2414yes—
461C2×D4×C53C2411yescharacteristic
462C2×D4×C53C2418yes—
463C2×D4×C53C2418yes—
464C2×D4×C53C2418yes—
465C2×D4×C53C2418yes—
466C22×C4×C53C2412yes—
467C22×C4×C53C2414yes—
468C22×C4×C53C2412yes—
469C22×C4×C53C2418yes—
470C22×C4×C53C2418yes—
471C22×C4×C53C2411yescharacteristic
472C2×C22⋊D53—232no—
473C2×C22⋊D53—84no—
474C2×C22⋊D53C2414yes—
475C2×C22⋊D53C2412yes—
476C2×C22⋊D53C2418yes—
477C2×C22⋊D53C2412yes—
478C2×C22⋊D53C2418yes—
479C2×C22⋊D53C2418yes—
480C2×C22⋊D53C2418yes—
481C2×C22⋊D53C2418yes—
482C2×C22⋊D53C2418yes—
483C2×C22⋊D53C2418yes—
484C2×C22⋊D53C2412yes—
485C22×Dic53—84no—
486C22×Dic53C2418yes—
487C22×Dic53C2411yescharacteristic
488C22×Dic53C2412yes—
489C22×Dic53C2412yes—
490C22×Dic53C2414yes—
491C22×Dic53C2418yes—
492C22×Dic53C2418yes—
493C22×Dic53C2414yes—
494#11719949—24no—
495Q8×D53—24no—
496#11719947—28no—
497#11719947—216no—
498#11719947—24no—
499#11719947—216no—
500#11719947—88no—
501D4×D53—28no—
502D4×D53—24no—
503D4×D53—216no—
504D4×D53—216no—
505D4×D53—88no—
506D4×D53—88no—
507#11719945—28no—
508#11719945—28no—
509#11719945—88no—
510#11719945#4118yescomplemented
511C2×D212C2412yes—
512C2×D212C2412yes—
513C2×D212C2414yes—
514C2×D212C2414yes—
515C2×D212C2414yes—
516C2×D212C2411yescharacteristic
517C2×C4×D53—24no—
518C2×C4×D53—28no—
519C2×C4×D53—88no—
520C2×C4×D53C2411yescharacteristic
521C2×C4×D53C2414yes—
522C2×C4×D53C2412yes—
523C2×C4×D53C2411yescharacteristic
524C2×C4×D53C2411yescharacteristic
525C2×C4×D53C2412yes—
526C2×C4×D53C2411yescharacteristic
527C2×C4×D53C2414yes—
528C2×C4×D53C2414yes—
529C2×C4×D53C2414yes—
530C2×C4×D53C2414yes—
531C2×C4×D53C2414yes—
532C2×C4×D53C2418yes—
533C2×C4×D53C2418yes—
534C2×C4×D53C2412yes—
535C2×Dic106C2412yes—
536C2×Dic106C2412yes—
537C2×Dic106C2418yes—
538C2×Dic106C2411yescharacteristic
539C4⋊C4×C53C2412yes—
540C4⋊C4×C53C2412yes—
541C4⋊C4×C53C2412yes—
542C4⋊C4×C53C2414yes—
543C4⋊C4×C53C2414yes—
544C4⋊C4×C53C2414yes—
545C4⋊C4×C53C2414yes—
546C22⋊C4×C53C2412yes—
547C22⋊C4×C53C2414yes—
548C22⋊C4×C53C2418yes—
549C22⋊C4×C53C2418yes—
550C22⋊C4×C53C2414yes—
551C22⋊C4×C53C2418yes—
552C22⋊C4×C53C2418yes—
553C42×C53C2411yescharacteristic
554C42×C53C2412yes—
555C42×C53C2411yescharacteristic
556C42×C53C2414yes—
557C42×C53C2412yes—
558C42×C53C2414yes—
559C22⋊Dic53C2418yes—
560C22⋊Dic53C2418yes—
561C22⋊Dic53C2418yes—
562C22⋊Dic53C2412yes—
563C22⋊Dic53C2414yes—
564C22⋊Dic53C2418yes—
565C22⋊Dic53C2418yes—
566C22⋊Dic53C2418yes—
567C22⋊Dic53C2418yes—
568#11719921C2414yes—
569#11719921C2412yes—
570#11719921C2414yes—
571#11719921C2414yes—
572#11719921C2414yes—
573#11719921C2418yes—
574#11719921C2418yes—
575#11719921C2418yes—
576#11719921C2412yes—
577#11719921C2414yes—
578#11719921C2412yes—
579#11719921C2414yes—
580#11719921C2412yes—
581#11719921C2414yes—
582#11719921C2414yes—
583#11719921C2414yes—
584#11719921C2414yes—
585#11719921C2414yes—
586C4⋊Dic53C2414yes—
587C4⋊Dic53C2414yes—
588C4⋊Dic53C2412yes—
589C4⋊Dic53C2414yes—
590C4⋊Dic53C2418yes—
591C4⋊Dic53C2414yes—
592C4⋊Dic53C2414yes—
593C4⋊Dic53C2414yes—
594#11719919C2414yes—
595#11719919C2412yes—
596#11719919C2418yes—
597#11719919C2418yes—
598#11719919C2418yes—
599#11719919C2418yes—
600#11719919C2414yes—
601#11719919C2412yes—
602#11719919C2414yes—
603#11719919C2412yes—
604#11719919C2414yes—
605#11719919C2412yes—
606#11719919C2418yes—
607#11719919C2414yes—
608#11719919C2418yes—
609#11719919C2418yes—
610C4×Dic53C2412yes—
611C4×Dic53C2411yescharacteristic
612C4×Dic53C2412yes—
613C4×Dic53C2414yes—
614C4×Dic53C2414yes—
615C4×Dic53C2414yes—
616C4×Dic53C2414yes—
617C4×Dic53C2414yes—
618C4×Dic53C2411yescharacteristic
619C4×Dic53C2414yes—
620C4×Dic53C2418yes—
621C4×Dic53C2418yes—
622C23×C53—28no—
623C23×C53—44no—
624C23×C53—44no—
625C23×C53C2512yes—
626C23×C53C2518yes—
627C23×C53C2511yescharacteristic
628C22×D53—22no—
629C22×D53—24no—
630C22×D53—216no—
631C22×D53—48no—
632C22×D53—48no—
633C22×D53—44no—
634C22×D53—42no—
635C22×D53C2511yescharacteristic
636C22×D53C2514yes—
637C22×D53C2511yescharacteristic
638C22×D53C2512yes—
639Q8×C53—22no—
640Q8×C53—44no—
641D4×C53—24no—
642D4×C53—28no—
643D4×C53—28no—
644D4×C53—22no—
645D4×C53—48no—
646D4×C53—48no—
647D4×C53—48no—
648D4×C53—48no—
649C2×C4×C53—24no—
650C2×C4×C53—48no—
651C2×C4×C53—48no—
652C2×C4×C53—42no—
653C2×C4×C53—44no—
654C2×C4×C53C2×#4114yes—
655C2×C4×C53C2514yes—
656C2×C4×C53C2512yes—
657C2×C4×C53C2514yes—
658C2×C4×C53C2514yes—
659C2×C4×C53C2512yes—
660C2×C4×C53C2512yes—
661C2×C4×C53C2511yescharacteristic
662C2×C4×C53C2511yescharacteristic
663C22⋊D53—28no—
664C22⋊D53—24no—
665C22⋊D53—216no—
666C22⋊D53—24no—
667C22⋊D53—216no—
668C22⋊D53—48no—
669C22⋊D53—48no—
670C22⋊D53—48no—
671C22⋊D53—48no—
672C22⋊D53—48no—
673C22⋊D53C2×#4118yes—
674C2×Dic53—22no—
675C2×Dic53—24no—
676C2×Dic53—216no—
677C2×Dic53—48no—
678C2×Dic53—44no—
679C2×Dic53—48no—
680C2×Dic53—42no—
681C2×Dic53—44no—
682C2×Dic53C2514yes—
683C2×Dic53C2511yescharacteristic
684C2×Dic53C2518yes—
685C2×Dic53C2514yes—
686C2×Dic53C2512yes—
687C2×Dic53C2511yescharacteristic
688C2×Dic53C2512yes—
689C2×Dic53C2512yes—
690D212—24no—
691D212—24no—
692D212—44no—
693D212—44no—
694D212—44no—
695D212C2×#4114yes—
696C4×D53—24no—
697C4×D53—22no—
698C4×D53—22no—
699C4×D53—22no—
700C4×D53—22no—
701C4×D53—28no—
702C4×D53—24no—
703C4×D53—44no—
704C4×D53—44no—
705C4×D53—48no—
706C4×D53—48no—
707C4×D53—44no—
708C4×D53—44no—
709C4×D53—44no—
710C4×D53C2×#4118yes—
711Dic106—24no—
712Dic106—24no—
713Dic106—48no—
714Dic106C2×#4114yes—
715#62858—531nomaximal, Sylow
716C22×C53—22no—
717C22×C53—22no—
718C22×C53—28no—
719C22×C53—28no—
720C22×C53—24no—
721C22×C53—28no—
722C22×C53—88no—
723C22×C53C22×#4112yes—
724C22×C53C2611yescharacteristic
725C2×D53—24no—
726C2×D53—21no—
727C2×D53—21no—
728C2×D53—24no—
729C2×D53—24no—
730C2×D53—22no—
731C2×D53—24no—
732C2×D53—22no—
733C2×D53—816no—
734C2×D53—84no—
735C2×D53—82no—
736C2×D53C22×#4114yes—
737C4×C53—22no—
738C4×C53—24no—
739C4×C53—24no—
740C4×C53—24no—
741C4×C53—22no—
742C4×C53—22no—
743C4×C53C22×#4112yes—
744C4×C53C22×#4112yes—
745Dic53—21no—
746Dic53—24no—
747Dic53—21no—
748Dic53—24no—
749Dic53—28no—
750Dic53—22no—
751Dic53—22no—
752Dic53C22×#4114yes—
753#3524—534no—
754#3519—534no—
755#3519—538no—
756#3517—534no—
757#3513—534no—
758#3513—538no—
759#3512—532no—
760#3512—531no—
761#3508—532no—
762#3508D5311yescharacteristic, complemented
763#3504—531no—
764#3498—531no—
765#3494—534no—
766#3494—532no—
767#3488—532no—
768#3460—532no—
769#3460—534no—
770#3455—532no—
771#3455—531no—
772C2×#540—532no—
773C2×#540—531no—
774C4×H(5,𝔽2)—532no—
775#3428—531no—
776C2×C53—22no—
777C2×C53—42no—
778C2×C53—48no—
779C2×C53C23×#4111yescharacteristic
780C2×C53H(7,𝔽2)12yes—
781D53—24no—
782D53—41no—
783D53—44no—
784D53—41no—
785C2×H(5,𝔽2)—532no—
786C22×#41—531no—
787#559—538no—
788#559C2×D5314yescomplemented
789#557—534no—
790#555—538no—
791#555—534no—
792#554—538no—
793#554—534no—
794#553—538no—
795#553—538no—
796#553—538no—
797#553—538no—
798#553—538no—
799#553—538no—
800#553—534no—
801#553—534no—
802#553—534no—
803#552—538no—
804#552—534no—
805#551—538no—
806#551—538no—
807#551—538no—
808#550—534no—
809#550—534no—
810#550—538no—
811#550C2×D5314yescomplemented
812#548—534no—
813#547—538no—
814#547—534no—
815#546—538no—
816#546—534no—
817#546—538no—
818#546—538no—
819#546—538no—
820#546—538no—
821#546—538no—
822#546C2×D5318yescomplemented
823D42—538no—
824D42—534no—
825D42—534no—
826D42—538no—
827#544—534no—
828#544—532no—
829#542—532no—
830#542—532no—
831#542—538no—
832#542—534no—
833#542—534no—
834#542—534no—
835#541—531no—
836#541—531no—
837#541—532no—
838#540—532no—
839#540—532no—
840#540—532no—
841#540—532no—
842#540—534no—
843#540—534no—
844#540—534no—
845#540—531no—
846#540—531no—
847#540—538no—
848#540—534no—
849#540—538no—
850#540—538no—
851#540—534no—
852#540—532no—
853#540C2×D5312yescomplemented
854#540C2×D5312yescomplemented
855#539—538no—
856#539—534no—
857#538—538no—
858#538—534no—
859#538—538no—
860#538—538no—
861#538—538no—
862#537—532no—
863#537—534no—
864#535—532no—
865#535—534no—
866#535—534no—
867#535C2×D5312yescomplemented
868#533—532no—
869#533C2×D5311yescharacteristic, complemented
870#532—538no—
871#532—532no—
872#532—534no—
873#532—534no—
874#532—534no—
875#532—531no—
876#532C2×D5314yescomplemented
877C2×#127—532no—
878C2×#127C2×D5311yescharacteristic, complemented
879#529—534no—
880#529—538no—
881#529—538no—
882#529—534no—
883#529—534no—
884#529—534no—
885#529—538no—
886#529—534no—
887#529—534no—
888C2×#125—532no—
889C2×#125—531no—
890#525—538no—
891#525—534no—
892#525—538no—
893#525—538no—
894#525—532no—
895C2×#123—534no—
896C2×#123—538no—
897C2×#121—532no—
898C2×#121—534no—
899C2×#121—534no—
900C2×#121—538no—
901#520—532no—
902#520—534no—
903#520—532no—
904#520—534no—
905#520—534no—
906#520—532no—
907#520—532no—
908#519—532no—
909#518—534no—
910#518—532no—
911#518—534no—
912#518—534no—
913#518—538no—
914#518C2×D5312yescomplemented
915C4×#41—531no—
916C4×#41—534no—
917C4×#41—534no—
918C4×#41—531no—
919C4×#41—532no—
920C4×#41—532no—
921C4×#41—531no—
922C4×#41—532no—
923C4×#41C2×D5311yescharacteristic, complemented
924C2×C4×D4—532no—
925C2×C4×D4—534no—
926C2×C4×D4—534no—
927C2×C4×D4—538no—
928C2×#117—532no—
929C2×#117—531no—
930C2×#117—531no—
931C2×#117—532no—
932C53#6285811yescharacteristic, complemented, Sylow
933H(5,𝔽2)—10616no—
934C2×#41—531no—
935C2×#41—534no—
936C2×#41—534no—
937C2×#41—532no—
938C2×#41—531no—
939C2×#41—538no—
940C2×#41—531no—
941C2×#41—532no—
942C2×#41—532no—
943C2×#41—538no—
944C2×#41—1068no—
945C2×#41C22×D5311yescharacteristic
946C2×#41C22×D5318yes—
947C22×Q8—531no—
948C22×D4—538no—
949C22×D4—534no—
950C22×D4—534no—
951C22×D4—534no—
952C22×D4—532no—
953C22×D4—531no—
954C22×D4—538no—
955C22×D4—538no—
956C22×D4C22×D5312yes—
957C22×D4C22×D5314yes—
958C23×C4—534no—
959C23×C4—532no—
960C23×C4—531no—
961C23×C4—538no—
962C4⋊Q8—538no—
963C4⋊Q8—534no—
964C4⋊Q8—531no—
965C4⋊Q8—534no—
966C4⋊Q8C22×D5312yes—
967#127—534no—
968#127—538no—
969#127—538no—
970#127—531no—
971#127C22×D5312yes—
972#127C22×D5312yes—
973#127C22×D5314yes—
974#127C22×D5314yes—
975#126—534no—
976#126—534no—
977#126—534no—
978#126—534no—
979#126—538no—
980#126—538no—
981#126—538no—
982#126—538no—
983#126—538no—
984#126—538no—
985#125—534no—
986#125—538no—
987#125—534no—
988#125—538no—
989#125—534no—
990#125—538no—
991#125—532no—
992#125—532no—
993#125—534no—
994#125—534no—
995#125C22×D5311yescharacteristic
996#125C22×D5311yescharacteristic
997#124—534no—
998#124—534no—
999#124—534no—
1000#124—538no—
1001#124—538no—
1002#124—538no—
1003#124—538no—
1004#124—538no—
1005#124—532no—
1006#124C22×D5314yes—
1007#124C22×D5318yes—
1008#123—538no—
1009#123—538no—
1010#123—538no—
1011#123—538no—
1012#123—538no—
1013#123—538no—
1014#123—538no—
1015#123—538no—
1016#123—538no—
1017#123—534no—
1018#123—538no—
1019#123—534no—
1020#123—534no—
1021#123—534no—
1022#123—538no—
1023#123—538no—
1024#123—538no—
1025#123—538no—
1026#123—534no—
1027#123—538no—
1028#123C22×D5318yes—
1029#123C22×D5318yes—
1030C22⋊Q8—534no—
1031C22⋊Q8—538no—
1032C22⋊Q8—534no—
1033C22⋊Q8—534no—
1034C22⋊Q8—534no—
1035C22⋊Q8—538no—
1036C22⋊Q8—532no—
1037C22⋊Q8—532no—
1038C22⋊Q8—538no—
1039C22⋊Q8—538no—
1040C22⋊Q8—538no—
1041C22⋊Q8—538no—
1042C22⋊Q8—538no—
1043C22⋊Q8C22×D5314yes—
1044#121—534no—
1045#121—538no—
1046#121—538no—
1047#121—538no—
1048#121—538no—
1049#121—534no—
1050#121—534no—
1051#121—538no—
1052#121—534no—
1053#121—538no—
1054#121—538no—
1055#121—538no—
1056#121—538no—
1057#121—534no—
1058#121—538no—
1059#121—534no—
1060#121—538no—
1061#121—534no—
1062#121—538no—
1063#121—538no—
1064#121—538no—
1065#121—534no—
1066#121—538no—
1067#121—534no—
1068#121—532no—
1069#121—534no—
1070#121—532no—
1071#121—534no—
1072#121—538no—
1073#121—538no—
1074#121—538no—
1075#121—538no—
1076#121—538no—
1077#121C22×D5314yes—
1078#121C22×D5318yes—
1079#121C22×D5314yes—
1080#121C22×D5318yes—
1081#121C22×D5318yes—
1082#120—538no—
1083#120—538no—
1084#120—538no—
1085#120—538no—
1086#120—538no—
1087#120—538no—
1088#120—534no—
1089#120C22×D5318yes—
1090C4×Q8—532no—
1091C4×Q8—532no—
1092C4×Q8—532no—
1093C4×Q8—534no—
1094C4×Q8—532no—
1095C4×Q8—538no—
1096C4×Q8—534no—
1097C4×Q8—532no—
1098C4×Q8—534no—
1099C4×Q8—534no—
1100C4×Q8C22×D5312yes—
1101C4×Q8C22×D5314yes—
1102C4×D4—534no—
1103C4×D4—534no—
1104C4×D4—534no—
1105C4×D4—534no—
1106C4×D4—534no—
1107C4×D4—532no—
1108C4×D4—538no—
1109C4×D4—538no—
1110C4×D4—538no—
1111C4×D4—538no—
1112C4×D4—538no—
1113C4×D4—538no—
1114C4×D4—538no—
1115C4×D4—534no—
1116C4×D4—534no—
1117C4×D4—534no—
1118C4×D4—538no—
1119C4×D4—538no—
1120C4×D4—538no—
1121C4×D4—532no—
1122C4×D4—532no—
1123C4×D4—532no—
1124C4×D4—534no—
1125C4×D4—534no—
1126C4×D4—538no—
1127C4×D4—534no—
1128C4×D4—538no—
1129C4×D4—538no—
1130C4×D4—538no—
1131C4×D4—538no—
1132C4×D4—538no—
1133C4×D4—534no—
1134C4×D4—534no—
1135C4×D4—534no—
1136C4×D4—538no—
1137C4×D4—538no—
1138C4×D4—534no—
1139C4×D4—534no—
1140C4×D4—534no—
1141C4×D4—532no—
1142C4×D4—534no—
1143C4×D4—534no—
1144C4×D4—534no—
1145C4×D4C22×D5314yes—
1146C4×D4C22×D5314yes—
1147C4×D4C22×D5314yes—
1148C4×D4C22×D5314yes—
1149C4×D4C22×D5314yes—
1150C4×D4C22×D5312yes—
1151C4×D4C22×D5318yes—
1152#117—531no—
1153#117—532no—
1154#117—538no—
1155#117—534no—
1156#117—532no—
1157#117—534no—
1158#117—534no—
1159#117—534no—
1160#117—532no—
1161#117—538no—
1162#117—538no—
1163#117—538no—
1164#117—531no—
1165#117—531no—
1166#117—532no—
1167#117—532no—
1168#117—532no—
1169#117—531no—
1170#117—531no—
1171#117—532no—
1172#117—534no—
1173#117—532no—
1174#117—534no—
1175#117—534no—
1176#117—538no—
1177#117C22×D5311yescharacteristic
1178#117C22×D5312yes—
1179#117C22×D5312yes—
1180C2×C4⋊C4—532no—
1181C2×C4⋊C4—534no—
1182C2×C4⋊C4—532no—
1183C2×C4⋊C4—538no—
1184C2×C4⋊C4—534no—
1185C2×C4⋊C4—534no—
1186C2×C4⋊C4—532no—
1187C2×C4⋊C4—534no—
1188C2×C4⋊C4—534no—
1189C2×C4⋊C4—538no—
1190C2×C22⋊C4—534no—
1191C2×C22⋊C4—534no—
1192C2×C22⋊C4—532no—
1193C2×C22⋊C4—534no—
1194C2×C22⋊C4—538no—
1195C2×C22⋊C4—534no—
1196C2×C22⋊C4—532no—
1197C2×C22⋊C4—538no—
1198C2×C22⋊C4—538no—
1199C2×C22⋊C4—538no—
1200C2×C22⋊C4C22×D5318yes—
1201C2×C42—531no—
1202C2×C42—532no—
1203C2×C42—538no—
1204C2×C42—532no—
1205C2×C42—532no—
1206C2×C42—532no—
1207C2×C42—534no—
1208C2×C42C22×D5311yescharacteristic
1209C2×C42C22×D5312yes—
1210C24—532no—
1211C24—538no—
1212C24—531no—
1213C24C23×D5314yes—
1214#41—24no—
1215#41—88no—
1216#41—538no—
1217#41—1068no—
1218#41—10616no—
1219#41—1068no—
1220#41—1064no—
1221#41—10616no—
1222#41—1064no—
1223#41—1068no—
1224#41—4248no—
1225#41—4248no—
1226C2×Q8—531no—
1227C2×Q8—532no—
1228C2×Q8—532no—
1229C2×Q8—538no—
1230C2×Q8—1064no—
1231C2×Q8C23×D5311yescharacteristic
1232C2×Q8C23×D5314yes—
1233C2×D4—28no—
1234C2×D4—84no—
1235C2×D4—532no—
1236C2×D4—532no—
1237C2×D4—538no—
1238C2×D4—534no—
1239C2×D4—538no—
1240C2×D4—532no—
1241C2×D4—538no—
1242C2×D4—538no—
1243C2×D4—538no—
1244C2×D4—538no—
1245C2×D4—538no—
1246C2×D4—531no—
1247C2×D4—532no—
1248C2×D4—532no—
1249C2×D4—534no—
1250C2×D4—534no—
1251C2×D4—534no—
1252C2×D4—10616no—
1253C2×D4—1068no—
1254C2×D4—1064no—
1255C2×D4—10616no—
1256C2×D4—10632no—
1257C2×D4—4248no—
1258C2×D4—4248no—
1259C2×D4—4244no—
1260C2×D4C23×D5312yes—
1261C2×D4C23×D5314yes—
1262C2×D4C23×D5311yescharacteristic
1263C2×D4C23×D5314yes—
1264C2×D4C23×D5318yes—
1265C2×D4C23×D5318yes—
1266C2×D4C23×D5318yes—
1267C2×D4C23×D5318yes—
1268C22×C4—532no—
1269C22×C4—538no—
1270C22×C4—531no—
1271C22×C4—532no—
1272C22×C4—532no—
1273C22×C4—534no—
1274C22×C4—538no—
1275C22×C4—534no—
1276C22×C4—538no—
1277C22×C4—531no—
1278C22×C4—534no—
1279C22×C4—532no—
1280C22×C4—531no—
1281C22×C4—532no—
1282C22×C4—531no—
1283C22×C4—531no—
1284C22×C4—534no—
1285C22×C4—534no—
1286C22×C4—534no—
1287C22×C4—534no—
1288C22×C4—534no—
1289C22×C4—538no—
1290C22×C4—538no—
1291C22×C4—1068no—
1292C22×C4—1064no—
1293C22×C4—4248no—
1294C22×C4—4244no—
1295C22×C4C23×D5312yes—
1296C22×C4C23×D5318yes—
1297C22×C4C23×D5312yes—
1298C22×C4C23×D5314yes—
1299C22×C4C23×D5318yes—
1300C22×C4C23×D5311yescharacteristic
1301C4⋊C4—534no—
1302C4⋊C4—532no—
1303C4⋊C4—534no—
1304C4⋊C4—532no—
1305C4⋊C4—538no—
1306C4⋊C4—534no—
1307C4⋊C4—534no—
1308C4⋊C4—534no—
1309C4⋊C4—538no—
1310C4⋊C4—538no—
1311C4⋊C4—534no—
1312C4⋊C4—532no—
1313C4⋊C4—532no—
1314C4⋊C4—534no—
1315C4⋊C4—532no—
1316C4⋊C4—538no—
1317C4⋊C4—538no—
1318C4⋊C4—538no—
1319C4⋊C4—534no—
1320C4⋊C4—538no—
1321C4⋊C4—534no—
1322C4⋊C4—534no—
1323C4⋊C4—534no—
1324C4⋊C4—538no—
1325C4⋊C4C23×D5312yes—
1326C4⋊C4C23×D5312yes—
1327C4⋊C4C23×D5314yes—
1328C4⋊C4C23×D5314yes—
1329C4⋊C4C23×D5312yes—
1330C4⋊C4C23×D5314yes—
1331C4⋊C4C23×D5314yes—
1332C22⋊C4—538no—
1333C22⋊C4—538no—
1334C22⋊C4—538no—
1335C22⋊C4—532no—
1336C22⋊C4—534no—
1337C22⋊C4—538no—
1338C22⋊C4—538no—
1339C22⋊C4—538no—
1340C22⋊C4—538no—
1341C22⋊C4—534no—
1342C22⋊C4—532no—
1343C22⋊C4—532no—
1344C22⋊C4—534no—
1345C22⋊C4—538no—
1346C22⋊C4—534no—
1347C22⋊C4—538no—
1348C22⋊C4—534no—
1349C22⋊C4—534no—
1350C22⋊C4—534no—
1351C22⋊C4—532no—
1352C22⋊C4—532no—
1353C22⋊C4—538no—
1354C22⋊C4—534no—
1355C22⋊C4—534no—
1356C22⋊C4—534no—
1357C22⋊C4—534no—
1358C22⋊C4—534no—
1359C22⋊C4C23×D5312yes—
1360C22⋊C4C23×D5318yes—
1361C22⋊C4C23×D5318yes—
1362C22⋊C4C23×D5314yes—
1363C22⋊C4C23×D5318yes—
1364C22⋊C4C23×D5314yes—
1365C22⋊C4C23×D5318yes—
1366C42—534no—
1367C42—531no—
1368C42—531no—
1369C42—532no—
1370C42—532no—
1371C42—534no—
1372C42—534no—
1373C42—538no—
1374C42—534no—
1375C42—534no—
1376C42—538no—
1377C42—534no—
1378C42C23×D5312yes—
1379C42C23×D5311yescharacteristic
1380C42C23×D5314yes—
1381C42C23×D5311yescharacteristic
1382C42C23×D5314yes—
1383C42C23×D5312yes—
1384C23—28no—
1385C23—44no—
1386C23—44no—
1387C23—532no—
1388C23—531no—
1389C23—534no—
1390C23—531no—
1391C23—1064no—
1392C23—10616no—
1393C23—1062no—
1394C23—2128no—
1395C23—2122no—
1396C23—2124no—
1397C23—2128no—
1398C23C24×D5318yes—
1399C23C24×D5312yes—
1400C23C24×D5311yescharacteristic
1401Q8—22no—
1402Q8—44no—
1403Q8—534no—
1404Q8—1064no—
1405Q8—1064no—
1406Q8—2128no—
1407D4—24no—
1408D4—28no—
1409D4—28no—
1410D4—22no—
1411D4—48no—
1412D4—48no—
1413D4—48no—
1414D4—48no—
1415D4—538no—
1416D4—534no—
1417D4—1064no—
1418D4—10616no—
1419D4—1064no—
1420D4—10616no—
1421D4—1064no—
1422D4—1068no—
1423D4—1064no—
1424D4—2124no—
1425D4—2124no—
1426D4—2124no—
1427D4—2128no—
1428D4—2128no—
1429D4—2128no—
1430D4—2128no—
1431D4—2128no—
1432C2×C4—24no—
1433C2×C4—48no—
1434C2×C4—42no—
1435C2×C4—44no—
1436C2×C4—48no—
1437C2×C4—532no—
1438C2×C4—538no—
1439C2×C4—532no—
1440C2×C4—532no—
1441C2×C4—531no—
1442C2×C4—534no—
1443C2×C4—534no—
1444C2×C4—538no—
1445C2×C4—531no—
1446C2×C4—1064no—
1447C2×C4—1064no—
1448C2×C4—1064no—
1449C2×C4—10616no—
1450C2×C4—1062no—
1451C2×C4—1062no—
1452C2×C4—1062no—
1453C2×C4—1062no—
1454C2×C4—1062no—
1455C2×C4—1068no—
1456C2×C4—2124no—
1457C2×C4—2124no—
1458C2×C4—2128no—
1459C2×C4—2128no—
1460C2×C4—2124no—
1461C2×C4—2124no—
1462C2×C4—2124no—
1463C2×C4—2122no—
1464C2×C4—2128no—
1465C2×C4—2124no—
1466C2×C4—2128no—
1467C2×C4—2124no—
1468C2×C4#41×D5314yes—
1469C2×C4C24×D5314yes—
1470C2×C4C24×D5314yes—
1471C2×C4C24×D5312yes—
1472C2×C4C24×D5312yes—
1473C2×C4C24×D5314yes—
1474C2×C4C24×D5312yes—
1475C2×C4C24×D5311yescharacteristic
1476C2×C4C24×D5311yescharacteristic
1477C22—22no—
1478C22—22no—
1479C22—28no—
1480C22—28no—
1481C22—24no—
1482C22—28no—
1483C22—88no—
1484C22—534no—
1485C22—1064no—
1486C22—1061no—
1487C22—1061no—
1488C22—1064no—
1489C22—1064no—
1490C22—1062no—
1491C22—1064no—
1492C22—1062no—
1493C22—4242no—
1494C22—42416no—
1495C22—4244no—
1496C22C2×#41×D5312yes—
1497C22C25×D5311yescharacteristic
1498C4—22no—
1499C4—24no—
1500C4—22no—
1501C4—24no—
1502C4—24no—
1503C4—22no—
1504C4—534no—
1505C4—1061no—
1506C4—1064no—
1507C4—1061no—
1508C4—1062no—
1509C4—1062no—
1510C4—1068no—
1511C4—1064no—
1512C4C2×#41×D5312yes—
1513C4C2×#41×D5312yes—
1514C2—22no—
1515C2—48no—
1516C2—42no—
1517C2—1064no—
1518C2—2121no—
1519C2—2124no—
1520C2—2121no—
1521C2C22×#41×D5311yescharacteristic
1522C2#2028952512yes—
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3508C2
hypercenter#3508D53
hypocenterC53#62858
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3508

Complements

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

NH ≅ G/Ntype
1. #20288819C2semidirect
2. #20288746C2semidirect
3. #20288736C2semidirect
4. #20288718C2semidirect
5. #20288654C2semidirect
6. #20288648C2semidirect
7. #20288637C2semidirect
8. #20288634C2semidirect
9. #20288587C2semidirect
10. #20288536C2semidirect
11. #20288491C2semidirect
12. #20288445C2semidirect
13. #20288440C2semidirect
14. #20288382C2semidirect
15. #20288129C2semidirect
16. #20288128C2semidirect
17. #20288107C2semidirect
18. #20288099C2semidirect
19. C2×#16811227C2semidirect
20. #540×D53C2semidirect
21. #20287919C2semidirect
22. #20287914C2semidirect
23. C53×#3508C2semidirect
26. #16811357C22semidirect
27. #16811351C22semidirect
28. #16811338C22semidirect
29. #16811335C22semidirect
30. #16811333C22semidirect
31. #16811327C22semidirect
32. #16811323C22semidirect
33. #16811323C22semidirect
34. #16811323C22semidirect
35. #16811322C22semidirect
36. #16811322C22semidirect
37. #16811320C22semidirect
38. #16811318C22semidirect
39. #16811316C22semidirect
40. #16811316C22semidirect
41. #16811314C22semidirect
42. #16811310C22semidirect
43. #16811303C22semidirect
44. #16811302C22semidirect
45. #16811299C22semidirect
46. #16811293C22semidirect
47. #16811293C22semidirect
48. #16811291C22semidirect
49. #16811281C22semidirect
50. #16811278C22semidirect
51. #16811272C22semidirect
52. #16811266C22semidirect
53. #16811265C22semidirect
54. #16811263C22semidirect
55. #16811262C22semidirect
56. #16811262C22semidirect
57. #16811261C22semidirect
58. #16811260C22semidirect
59. #16811258C22semidirect
60. #16811258C22semidirect
61. D4×C22⋊D53C22semidirect
62. #16811255C22semidirect
63. #16811251C22semidirect
64. #16811250C22semidirect
65. #16811247C22semidirect
66. #16811247C22semidirect
67. #16811242C22semidirect
68. #16811240C22semidirect
69. #16811238C22semidirect
70. #16811237C22semidirect
71. #16811236C22semidirect
72. #16811236C22semidirect
73. #16811235C22semidirect
74. #16811229C22semidirect
75. #16811229C22semidirect
76. #16811228C22semidirect
77. #16811227C22semidirect
78. #16811227C22semidirect
79. #16811227C22semidirect
80. #16811227C22semidirect
81. #16811227C22semidirect
82. #16811227C22semidirect
83. #16811227C22semidirect
84. #16811226C22semidirect
85. #16811225C22semidirect
86. #16811224C22semidirect
87. #16811223C22semidirect
88. #16811223C22semidirect
89. #16811222C22semidirect
90. #16811216C22semidirect
91. #16811213C22semidirect
92. #16811208C22semidirect
93. #16811207C22semidirect
94. #16811205C22semidirect
95. #16811205C22semidirect
96. #16811202C22semidirect
97. #16811201C22semidirect
98. #16811190C22semidirect
99. #16811189C22semidirect
100. #16811186C22semidirect
101. #16811179C22semidirect
102. #16811173C22semidirect
103. #16811171C22semidirect
104. #16811171C22semidirect
105. #16811170C22semidirect
106. #16811169C22semidirect
107. #16811168C22semidirect
108. #127×D53C22semidirect
109. #16811160C22semidirect
110. #16811160C22semidirect
111. #16811157C22semidirect
112. #16811155C22semidirect
113. #16811154C22semidirect
114. #16811154C22semidirect
115. #16811153C22semidirect
116. #16811152C22semidirect
117. #16811150C22semidirect
118. C2×#13133209C22semidirect
119. #125×D53C22semidirect
120. #16811135C22semidirect
121. #16811133C22semidirect
122. #16811132C22semidirect
123. #16811130C22semidirect
124. #16811129C22semidirect
125. C2×#13133198C22semidirect
126. #123×D53C22semidirect
127. C2×#13133189C22semidirect
128. C2×#13133188C22semidirect
129. #121×D53C22semidirect
130. #121×D53C22semidirect
131. #16811105C22semidirect
133. #16811103C22semidirect
134. #16811102C22semidirect
135. #16811102C22semidirect
136. #16811102C22semidirect
137. #16811102C22semidirect
138. #16811099C22semidirect
139. #16811096C22semidirect
140. #16811095C22semidirect
141. #16811095C22semidirect
142. #16811095C22semidirect
143. #16811095C22semidirect
144. #41×Dic53C22semidirect
146. C4×#11719945C22semidirect
148. #16811091C22semidirect
149. #16811091C22semidirect
150. C4×#11719947C22semidirect
151. C4×#11719947C22semidirect
152. C2×D4×Dic53C22semidirect
153. C2×#13133177C22semidirect
154. C4×D4×D53C22semidirect
155. C4×D4×D53C22semidirect
156. C2×#13133174C22semidirect
157. C2×#13133174C22semidirect
158. #117×D53C22semidirect
159. #117×D53C22semidirect
160. C53×#559C22semidirect
161. C53×#550C22semidirect
162. C53×#546C22semidirect
163. C53×#540C22semidirect
164. C53×#540C22semidirect
165. C53×#535C22semidirect
166. C53×#533C22semidirect
167. C53×#532C22semidirect
168. C2×#127×C53C22semidirect
169. C53×#518C22semidirect
170. C4×#41×C53C22semidirect
510. #11719945#41semidirect
762. #3508D53semidirect
788. #559C2×D53semidirect
811. #550C2×D53semidirect
822. #546C2×D53semidirect
853. #540C2×D53semidirect
854. #540C2×D53semidirect
867. #535C2×D53semidirect
869. #533C2×D53semidirect
876. #532C2×D53semidirect
878. C2×#127C2×D53semidirect
914. #518C2×D53semidirect
923. C4×#41C2×D53semidirect
932. C53#62858semidirect

Maximal subgroups

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

subgroupindex
#202888192
#202887462
#202887362
#202887182
#202886542
#202886482
#202886372
#202886342
#202885872
#202885362
#202884912
#202884452
#202884402
#202883822
#202881292
#202881282
#202881072
#202880992
C2×#168112272
#540×D532
#202879192
#202879142
C53×#35082
#6285853