Finite Group Databasebeta

← #28293156

Subgroups — #28293156

Order 13568.

7106 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288789C214yesmaximal, complemented
2#20288777C214yesmaximal, complemented
3#20288762C214yesmaximal, complemented
4#20288759C214yesmaximal, complemented
5#20288691C214yesmaximal, complemented
6#20288688C214yesmaximal, complemented
7#20288661C214yesmaximal, complemented
8#20288649C214yesmaximal, complemented
9#20288579C212yesmaximal, complemented
10#20288550C214yesmaximal, complemented
11#20288517C211yesmaximal, characteristic, complemented
12#20288478C211yesmaximal, characteristic, complemented
13#20288425C211yesmaximal, characteristic, complemented
14#20288422C211yesmaximal, characteristic, complemented
15#20288407C214yesmaximal, complemented
16#20288358C212yesmaximal, complemented
17#20288148C211yesmaximal, characteristic, complemented
18#20288123C214yesmaximal, complemented
19#20288100C212yesmaximal, complemented
20#539×D53C214yesmaximal, complemented
21C4×#13133263C212yesmaximal, complemented
22C2×#16811105C211yesmaximal, characteristic, complemented
23C53×#3461C211yesmaximal, characteristic, complemented
24C2×#13133263C2212yes—
25C22×#11719949C2211yescharacteristic
26#16811355C2214yescomplemented
27#16811348C2214yescomplemented
28#16811347C2214yescomplemented
29#16811344C2214yescomplemented
30#16811342C2214yescomplemented
31#16811334C2214yescomplemented
32#16811334C2214yescomplemented
33#16811331C2214yescomplemented
34#16811331C2214yescomplemented
35#16811329C2214yescomplemented
36#16811329C2214yescomplemented
37#16811326C2214yescomplemented
38#16811326C2214yescomplemented
39#16811324C2218yescomplemented
40#16811323C2214yescomplemented
41#16811320C2214yescomplemented
42#16811317C2218yescomplemented
43#16811315C2214yescomplemented
44#16811314C2214yescomplemented
45#16811314C2218yescomplemented
46#16811312C2218yescomplemented
47#16811311C2214yescomplemented
48#16811311C2214yescomplemented
49#16811309C2218yescomplemented
50#16811307C2214yescomplemented
51#16811307C2214yescomplemented
52#16811305C2218yescomplemented
53#16811303C2218yescomplemented
54#16811302C2218yescomplemented
55#16811298C2218yescomplemented
56#16811298C2218yescomplemented
57#16811297C2218yescomplemented
58#16811297C2218yescomplemented
59#16811288C2214yescomplemented
60#16811285C2214yescomplemented
61#16811281C2214yescomplemented
62#16811276C2214yescomplemented
63#16811276C2214yescomplemented
64#16811276C2214yescomplemented
65#16811275C2214yescomplemented
66#16811275C2214yescomplemented
67#16811275C2214yescomplemented
68#16811273C2214yescomplemented
69#16811270C2214yescomplemented
70#16811268C2214yescomplemented
71#16811266C2214yescomplemented
72#16811266C2214yescomplemented
73#16811266C2214yescomplemented
74#16811264C2214yescomplemented
75#16811264C2214yescomplemented
76#16811264C2214yescomplemented
77#16811257C2214yescomplemented
78#16811254C2211yescharacteristic, complemented
79#16811248C2214yescomplemented
80#16811245C2212yescomplemented
81#16811245C2212yescomplemented
82#16811245C2214yescomplemented
83#16811238C2212yescomplemented
84#16811238C2212yescomplemented
85#16811231C2214yescomplemented
86#16811231C2212yescomplemented
87#16811231C2212yescomplemented
88#16811224C2212yescomplemented
89#16811224C2212yescomplemented
90#16811222C2214yescomplemented
91#16811221C2218yescomplemented
92#16811221C2218yescomplemented
93#16811220C2214yescomplemented
94#16811219C2218yescomplemented
95#16811219C2218yescomplemented
96#16811218C2214yescomplemented
97#16811217C2218yescomplemented
98#16811216C2218yescomplemented
99#16811215C2214yescomplemented
100#16811215C2214yescomplemented
101#16811214C2218yescomplemented
102#16811212C2218yescomplemented
103#16811209C2218yescomplemented
104#16811206C2214yescomplemented
105#16811206C2214yescomplemented
106#16811204C2211yescharacteristic
107#16811197C2212yescomplemented
108#16811184C2218yescomplemented
109#16811181C2214yes—
110#16811177C2214yescomplemented
111#16811176C2212yescomplemented
112#16811169C2212yes—
113#16811160C2214yescomplemented
114#16811158C2218yescomplemented
115#16811157C2214yescomplemented
116#16811157C2214yescomplemented
117#16811157C2214yescomplemented
118#16811156C2218yescomplemented
119#16811151C2214yescomplemented
120#16811151C2214yescomplemented
121#16811150C2218yescomplemented
122#126×D53C2218yescomplemented
123#125×D53C2218yescomplemented
124#16811136C2214yescomplemented
125#16811136C2218yescomplemented
126#16811135C2212yescomplemented
127#16811133C2214yescomplemented
128#16811131C2218yescomplemented
129#16811130C2212yescomplemented
130#123×D53C2218yescomplemented
131#123×D53C2218yescomplemented
132C22⋊Q8×D53C2214yescomplemented
133C22⋊Q8×D53C2218yescomplemented
134#121×D53C2214yes—
135#16811106C2212yescomplemented
136#16811105C2214yescomplemented
137#16811105C2214yescomplemented
138#16811105C2214yescomplemented
139#16811105C2214yescomplemented
140#16811105C2214yescomplemented
141#16811103C2212yescomplemented
142#16811103C2214yescomplemented
143#16811097C2212yes—
144#16811097C2214yescomplemented
145#16811095C2214yescomplemented
146#16811095C2218yescomplemented
147C4×#11719949C2214yescomplemented
148C4×#11719945C2214yescomplemented
149C4×#11719945C2212yescomplemented
150C2×Q8×Dic53C2211yescharacteristic, complemented
151C2×C4×D212C2211yescharacteristic
152C2×C4×D212C2212yescomplemented
153C2×C4×D212C2214yescomplemented
154C2×#13133179C2211yescharacteristic
155C2×#13133179C2212yescomplemented
156C4×D4×D53C2218yescomplemented
157C4×D4×D53C2214yescomplemented
158C2×#13133174C2211yescharacteristic, complemented
159C2×#13133174C2212yescomplemented
160C2×C4⋊C4×D53C2212yescomplemented
161C2×C4⋊C4×D53C2211yescharacteristic, complemented
162C53×#544C2211yescharacteristic, complemented
163C53×#542C2214yescomplemented
164C53×#541C2214yescomplemented
165C53×#539C2214yescomplemented
166C53×#537C2211yescharacteristic
167C53×#536C2212yescomplemented
168C53×#533C2214yescomplemented
169C53×#529C2214yescomplemented
170C53×#529C2214yescomplemented
171C4×#41×C53C2212yescomplemented
172C2×C4×Q8×C53C2211yescharacteristic, complemented
173#13133263—216no—
174C2×#11719949—28no—
175C2×#11719949C2314yes—
176C2×#11719949C2314yes—
177C2×#11719949C2314yes—
178C2×#11719949C2314yes—
179C2×#11719945C2314yes—
180C2×#11719945C2312yes—
181C2×#11719947C2314yes—
182C2×Q8×D53C2314yes—
183C22×D212C2314yes—
184C22×D212C2312yes—
185C22×D212C2311yescharacteristic
186C2×D4×D53C2314yes—
187C2×D4×D53C2318yes—
188C2×D4×D53C2314yes—
189C22×C4×D53C2312yes—
190C22×C4×D53C2311yescharacteristic
191C22×C4×D53C2312yes—
192C22×C4×D53C2312yes—
193C22×C4×D53C2312yes—
194C22×C4×D53C2318yes—
195#13133216C2314yes—
196#13133216C2312yes—
197#13133216C2312yes—
198#13133215C2314yes—
199#13133215C2312yes—
200#13133213C2312yes—
201#13133212C2318yes—
202#13133212C2318yes—
203#13133212C2318yes—
204#13133212C2314yes—
205#13133212C2318yes—
206#13133212C2314yes—
207#13133211C2314yes—
208#13133211C2318yes—
209#13133211C2314yes—
210#13133211C2314yes—
211#13133211C2314yes—
212#13133210C2318yes—
213#13133210C2318yes—
214#13133210C2314yes—
215#13133210C2318yes—
216#13133210C2314yes—
217#13133209C2314yes—
218#13133209C2314yes—
219#13133209C2314yes—
220#13133208C2312yes—
221#13133208C2314yes—
222#13133208C2318yes—
223#13133208C2318yes—
224#13133208C2312yes—
225#13133207C2314yes—
226#13133207C2318yes—
227#13133207C2318yes—
228#13133207C2318yes—
229#13133207C2314yes—
230#13133207C2318yes—
231#13133206C2312yes—
232#13133206C2314yes—
233#13133205C2314yes—
234#13133205C2314yes—
235#13133205C2314yes—
236#13133204C2312yes—
237#13133203C2314yes—
238#13133203C2318yes—
239#13133203C2314yes—
240#13133202C2318yes—
241#13133202C2318yes—
242#13133202C2318yes—
243#13133202C2318yes—
244#13133202C2318yes—
245#13133202C2318yes—
246#13133202C2318yes—
247#13133202C2314yes—
248#13133202C2318yes—
249#13133202C2314yes—
250#13133201C2318yes—
251#13133201C2314yes—
252#13133200C2314yes—
253#13133200C2314yes—
254#13133200C2314yes—
255#13133200C2318yes—
256#13133200C2314yes—
257#13133199C2318yes—
258#13133199C2318yes—
259#13133199C2318yes—
260#13133199C2318yes—
261#13133199C2318yes—
262#13133199C2314yes—
263#13133199C2314yes—
264#13133198C2318yes—
265#13133198C2314yes—
266#13133197C2314yes—
267#13133197C2314yes—
268#13133197C2312yes—
269#13133197C2312yes—
270#13133197C2318yes—
271#13133197C2314yes—
272#13133197C2318yes—
273#13133196C2314yes—
274#13133196C2314yes—
275#13133196C2314yes—
276#13133195C2318yes—
277#13133195C2318yes—
278#13133195C2314yes—
279#13133195C2318yes—
280#13133195C2314yes—
281#13133195C2318yes—
282#13133194C2318yes—
283#13133194C2318yes—
284#13133194C2314yes—
285#13133194C2314yes—
286#13133193C2314yes—
287#13133193C2314yes—
288#13133193C2314yes—
289#13133193C2312yes—
290#13133193C2312yes—
291#13133193C2318yes—
292#13133193C2314yes—
293#13133193C2318yes—
294#13133192C2312yes—
295#13133192C2314yes—
296#13133192C2312yes—
297#13133192C2318yes—
298#13133192C2318yes—
299#13133192C2314yes—
300#13133192C2314yes—
301#13133191C2314yes—
302#13133191C2314yes—
303#13133191C2314yes—
304#13133190C2314yes—
305#13133190C2318yes—
306#13133190C2318yes—
307#13133190C2318yes—
308#13133190C2314yes—
309#13133189C2314yes—
310#13133189C2314yes—
311#13133188C2312yes—
312#13133188C2312yes—
313#13133188C2314yes—
314#13133188C2314yes—
315#13133187C2318yes—
316#13133187C2318yes—
317#13133187C2318yes—
318#13133187C2314yes—
319#13133185C2318yes—
320#13133185C2314yes—
321Q8×Dic53C2314yes—
322Q8×Dic53C2314yes—
323Q8×Dic53C2314yes—
324C4×Dic106C2314yes—
325C4×Dic106C2314yes—
326C4×Dic106C2314yes—
327C4×Dic106C2314yes—
328C4×Dic106C2312yes—
329C4×Dic106C2312yes—
330#13133182C2318yes—
331C4×D212C2314yes—
332C4×D212C2314yes—
333C4×D212C2314yes—
334C4×D212C2314yes—
335C4×D212C2314yes—
336C4×D212C2314yes—
337C4×D212C2314yes—
338C4×D212C2314yes—
339C4×D212C2314yes—
340C4×D212C2314yes—
341C4×D212C2318yes—
342C4×D212C2314yes—
343C4×D212C2318yes—
344C4×D212C2314yes—
345C4×D212C2312yes—
346C4×D212C2312yes—
347D4×Dic53C2314yes—
348D4×Dic53C2318yes—
349#13133179C2314yes—
350#13133179C2314yes—
351#13133179C2314yes—
352#13133179C2314yes—
353#13133179C2318yes—
354#13133179C2318yes—
355#13133179C2318yes—
356#13133179C2318yes—
357#13133179C2318yes—
358C4×C22⋊D53C2314yes—
359C4×C22⋊D53C2314yes—
360C4×C22⋊D53C2314yes—
361C4×C22⋊D53C2314yes—
362C4×C22⋊D53C2318yes—
363C4×C22⋊D53C2314yes—
364C4×C22⋊D53C2318yes—
365C4×C22⋊D53C2314yes—
366#13133177C2318yes—
367#13133177C2318yes—
368#13133177C2318yes—
369#13133177C2318yes—
370#13133177C2318yes—
371#13133176C2314yes—
372#13133176C2312yes—
373#13133175C2318yes—
374#13133175C2318yes—
375#13133175C2314yes—
376#13133175C2314yes—
377#13133175C2314yes—
378#13133174C2318yes—
379#13133174C2318yes—
380#13133174C2318yes—
381#13133174C2318yes—
382#13133174C2312yes—
383#13133174C2312yes—
384#13133174C2312yes—
385#13133174C2312yes—
386#13133174C2314yes—
387#13133173C2318yes—
388C2×C4⋊Dic53C2314yes—
389C2×C4⋊Dic53C2311yescharacteristic
390C2×C4⋊Dic53C2312yes—
391C2×#11719919C2311yescharacteristic
392C2×#11719919C2312yes—
393C2×#11719919C2311yescharacteristic
394C4⋊C4×D53C2314yes—
395C4⋊C4×D53C2314yes—
396C4⋊C4×D53C2318yes—
397C4⋊C4×D53C2318yes—
398C4⋊C4×D53C2314yes—
399C4⋊C4×D53C2314yes—
400C4⋊C4×D53C2318yes—
401C4⋊C4×D53C2314yes—
402C4⋊C4×D53C2318yes—
403C4⋊C4×D53C2318yes—
404C4⋊C4×D53C2318yes—
405C2×#11719921C2318yes—
406C2×#11719921C2312yes—
407C2×#11719921C2311yescharacteristic
408C2×#11719921C2312yes—
409C2×#11719921C2311yescharacteristic
410C22⋊C4×D53C2318yes—
411C22⋊C4×D53C2318yes—
412C22⋊C4×D53C2318yes—
413C22⋊C4×D53C2318yes—
414C22⋊C4×D53C2318yes—
415C22⋊C4×D53C2318yes—
416C2×C4×Dic53C2311yescharacteristic
417C2×C4×Dic53C2312yes—
418C42×D53C2318yes—
419C42×D53C2314yes—
420C2×#41×C53C2312yes—
421C22×Q8×C53C2311yescharacteristic
422C4⋊Q8×C53C2314yes—
423C4⋊Q8×C53C2314yes—
424#126×C53C2318yes—
425#126×C53C2318yes—
426#125×C53C2314yes—
427#125×C53C2314yes—
428#125×C53C2318yes—
429#124×C53C2314yes—
430#124×C53C2314yes—
431#123×C53C2318yes—
432#123×C53C2318yes—
433C22⋊Q8×C53C2314yes—
434C22⋊Q8×C53C2314yes—
435C22⋊Q8×C53C2314yes—
436C22⋊Q8×C53C2314yes—
437C22⋊Q8×C53C2318yes—
438#121×C53C2314yes—
439#121×C53C2314yes—
440C4×Q8×C53C2314yes—
441C4×Q8×C53C2314yes—
442C4×Q8×C53C2314yes—
443C4×Q8×C53C2312yes—
444C4×Q8×C53C2312yes—
445C4×D4×C53C2314yes—
446C4×D4×C53C2314yes—
447C4×D4×C53C2312yes—
448C4×D4×C53C2314yes—
449C4×D4×C53C2312yes—
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×D53C2418yes—
459C23×D53C2411yescharacteristic
460C23×D53C2412yes—
461#41×C53—28no—
462C2×Q8×C53—24no—
463C2×Q8×C53C2414yes—
464C2×Q8×C53C2412yes—
465C2×Q8×C53C2414yes—
466C2×D4×C53C2414yes—
467C2×D4×C53C2412yes—
468C2×D4×C53C2414yes—
469C22×C4×C53C2412yes—
470C22×C4×C53C2414yes—
471C22×C4×C53C2411yescharacteristic
472C22×C4×C53C2411yescharacteristic
473C22×C4×C53C2412yes—
474C22×C4×C53C2414yes—
475C22×C4×C53C2414yes—
476C22×C4×C53C2411yescharacteristic
477C2×C22⋊D53C2418yes—
478C2×C22⋊D53C2414yes—
479C2×C22⋊D53C2414yes—
480C2×C22⋊D53C2414yes—
481C2×C22⋊D53C2414yes—
482C2×C22⋊D53C2414yes—
483C22×Dic53C2411yescharacteristic
484C22×Dic53C2411yescharacteristic
485C22×Dic53C2412yes—
486C22×Dic53C2411yescharacteristic
487C22×Dic53C2418yes—
488#11719949—216no—
489#11719949—216no—
490#11719949—216no—
491#11719949—84no—
492Q8×D53—84no—
493#11719947—84no—
494D4×D53—232no—
495D4×D53—216no—
496D4×D53—84no—
497#11719945—28no—
498#11719945—216no—
499C2×D212—28no—
500C2×D212—216no—
501C2×D212#4118yescomplemented
502C2×D212C2414yes—
503C2×D212C2414yes—
504C2×D212C2418yes—
505C2×D212C2412yes—
506C2×D212C2414yes—
507C2×D212C2414yes—
508C2×D212C2414yes—
509C2×D212C2414yes—
510C2×C4×D53—28no—
511C2×C4×D53—24no—
512C2×C4×D53—82no—
513C2×C4×D53—88no—
514C2×C4×D53—82no—
515C2×C4×D53—82no—
516C2×C4×D53C2418yes—
517C2×C4×D53C2414yes—
518C2×C4×D53C2418yes—
519C2×C4×D53C2412yes—
520C2×C4×D53C2412yes—
521C2×C4×D53C2418yes—
522C2×C4×D53C2414yes—
523C2×C4×D53C2418yes—
524C2×C4×D53C2414yes—
525C2×C4×D53C2418yes—
526C2×C4×D53C2414yes—
527C2×C4×D53C2418yes—
528C2×C4×D53C2414yes—
529C2×C4×D53C2414yes—
530C2×C4×D53C2414yes—
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×C53C2412yes—
554C42×C53C2414yes—
555C42×C53C2414yes—
556C42×C53C2414yes—
557C42×C53C2414yes—
558C42×C53C2414yes—
559C22⋊Dic53C2414yes—
560C22⋊Dic53C2418yes—
561C22⋊Dic53C2414yes—
562C22⋊Dic53C2414yes—
563C22⋊Dic53C2414yes—
564C22⋊Dic53C2414yes—
565#11719921C2414yes—
566#11719921C2418yes—
567#11719921C2414yes—
568#11719921C2414yes—
569#11719921C2414yes—
570#11719921C2414yes—
571#11719921C2418yes—
572#11719921C2418yes—
573#11719921C2418yes—
574#11719921C2418yes—
575#11719921C2418yes—
576#11719921C2414yes—
577#11719921C2414yes—
578#11719921C2418yes—
579#11719921C2412yes—
580#11719921C2412yes—
581#11719921C2411yescharacteristic
582#11719921C2411yescharacteristic
583#11719921C2411yescharacteristic
584#11719921C2411yescharacteristic
585#11719921C2414yes—
586#11719921C2414yes—
587#11719921C2414yes—
588#11719921C2414yes—
589#11719921C2414yes—
590C4⋊Dic53C2414yes—
591C4⋊Dic53C2414yes—
592C4⋊Dic53C2414yes—
593C4⋊Dic53C2414yes—
594C4⋊Dic53C2414yes—
595C4⋊Dic53C2414yes—
596C4⋊Dic53C2418yes—
597C4⋊Dic53C2414yes—
598C4⋊Dic53C2414yes—
599C4⋊Dic53C2412yes—
600C4⋊Dic53C2414yes—
601C4⋊Dic53C2412yes—
602#11719919C2418yes—
603#11719919C2412yes—
604#11719919C2412yes—
605#11719919C2418yes—
606#11719919C2414yes—
607#11719919C2414yes—
608#11719919C2414yes—
609#11719919C2414yes—
610#11719919C2414yes—
611#11719919C2414yes—
612#11719919C2418yes—
613#11719919C2418yes—
614#11719919C2418yes—
615#11719919C2412yes—
616#11719919C2412yes—
617#11719919C2414yes—
618#11719919C2414yes—
619#11719919C2414yes—
620#11719919C2414yes—
621C4×Dic53C2414yes—
622C4×Dic53C2418yes—
623C4×Dic53C2414yes—
624C4×Dic53C2418yes—
625C4×Dic53C2414yes—
626C4×Dic53C2418yes—
627C4×Dic53C2412yes—
628C4×Dic53C2412yes—
629C23×C53C2514yes—
630C23×C53C2511yescharacteristic
631C22×D53—22no—
632C22×D53—216no—
633C22×D53—42no—
634C22×D53—41no—
635C22×D53—42no—
636C22×D53—41no—
637C22×D53—48no—
638C22×D53—48no—
639C22×D53C2×#4118yes—
640C22×D53C2511yescharacteristic
641C22×D53C2511yescharacteristic
642C22×D53C2514yes—
643C22×D53C2514yes—
644Q8×C53—28no—
645Q8×C53—24no—
646Q8×C53—44no—
647D4×C53—28no—
648D4×C53—24no—
649D4×C53—44no—
650C2×C4×C53—24no—
651C2×C4×C53—28no—
652C2×C4×C53—42no—
653C2×C4×C53—44no—
654C2×C4×C53—41no—
655C2×C4×C53—44no—
656C2×C4×C53—41no—
657C2×C4×C53C2×#4114yes—
658C2×C4×C53C2514yes—
659C2×C4×C53C2514yes—
660C2×C4×C53C2514yes—
661C2×C4×C53C2512yes—
662C2×C4×C53C2511yescharacteristic
663C2×C4×C53C2514yes—
664C2×C4×C53C2514yes—
665C2×C4×C53C2511yescharacteristic
666C2×C4×C53C2512yes—
667C22⋊D53—28no—
668C22⋊D53—216no—
669C22⋊D53—44no—
670C22⋊D53—44no—
671C22⋊D53—44no—
672C22⋊D53—44no—
673C2×Dic53—22no—
674C2×Dic53—41no—
675C2×Dic53—42no—
676C2×Dic53—48no—
677C2×Dic53—41no—
678C2×Dic53C2511yescharacteristic
679C2×Dic53C2514yes—
680C2×Dic53C2512yes—
681C2×Dic53C2514yes—
682C2×Dic53C2514yes—
683C2×Dic53C2514yes—
684C2×Dic53C2512yes—
685C2×Dic53C2511yescharacteristic
686D212—216no—
687D212—28no—
688D212—28no—
689D212—24no—
690D212—44no—
691D212—44no—
692D212—44no—
693D212C2×#41116yes—
694C4×D53—216no—
695C4×D53—216no—
696C4×D53—24no—
697C4×D53—24no—
698C4×D53—28no—
699C4×D53—44no—
700C4×D53—48no—
701C4×D53—44no—
702C4×D53—44no—
703C4×D53—44no—
704C4×D53—48no—
705C4×D53—44no—
706C4×D53—48no—
707C4×D53—48no—
708C4×D53—44no—
709Dic106—24no—
710Dic106—44no—
711Dic106—44no—
712Dic106—44no—
713#62847—531nomaximal, Sylow
714C22×C53—21no—
715C22×C53—21no—
716C22×C53—24no—
717C22×C53—24no—
718C22×C53—24no—
719C22×C53C22×#4112yes—
720C22×C53C2611yescharacteristic
721C2×D53—24no—
722C2×D53—24no—
723C2×D53—21no—
724C2×D53—21no—
725C2×D53—24no—
726C2×D53—21no—
727C2×D53—21no—
728C2×D53—24no—
729C2×D53—24no—
730C2×D53—21no—
731C2×D53—21no—
732C2×D53—48no—
733C2×D53—44no—
734C2×D53—816no—
735C2×D53C22×#4118yes—
736C4×C53—24no—
737C4×C53—24no—
738C4×C53—24no—
739C4×C53—24no—
740C4×C53—22no—
741C4×C53—24no—
742C4×C53—21no—
743C4×C53—21no—
744C4×C53C22×#4114yes—
745Dic53—24no—
746Dic53—22no—
747Dic53—21no—
748Dic53—24no—
749Dic53—24no—
750Dic53—21no—
751Dic53—22no—
752Dic53—24no—
753#3521—534no—
754#3521—534no—
755#3520—534no—
756#3520—534no—
757#3515—534no—
758#3515—534no—
759#3513—534no—
760#3513—534no—
761#3507—532no—
762#3505—534no—
763#3501—531no—
764#3496—531no—
765#3492—531no—
766#3492—531no—
767#3491—534no—
768#3485—532no—
769#3461—531no—
770#3461D5311yescharacteristic, complemented
771#3459—534no—
772#3455—532no—
773C2×#539—534no—
774C4×H(5,𝔽2)—532no—
775C2×#520—531no—
776C2×C53—22no—
777C2×C53—44no—
778C2×C53C23×#4111yescharacteristic
779C2×C53H(7,𝔽2)11yescharacteristic
780C2×C532−1+611yescharacteristic
781D53—28no—
782D53—41no—
783D53—41no—
784D53—44no—
785C2×H(5,𝔽2)—532no—
786C22×#41—531no—
787#559—534no—
788#557—534no—
789#556—534no—
790#556—534no—
791#556—534no—
792#554—534no—
793#554—534no—
794#554—534no—
795#554—534no—
796#554—534no—
797#554—534no—
798#553—538no—
799#553—534no—
800#553—534no—
801#553—534no—
802#553—534no—
803#553—538no—
804#552—538no—
805#552—538no—
806#552—534no—
807#552—534no—
808#552—534no—
809#552—534no—
810#552—534no—
811#552—538no—
812#552—534no—
813#552—538no—
814#551—538no—
815#551—538no—
816#551—538no—
817#551—538no—
818#551—538no—
819#551—538no—
820D4×Q8—534no—
821#548—534no—
822#548—534no—
823#547—534no—
824#547—534no—
825#547—534no—
826#547—534no—
827#547—534no—
828#547—534no—
829#547—534no—
830#546—534no—
831#546—534no—
832#546—534no—
833#546—534no—
834#546—534no—
835#546—534no—
836#546—534no—
837#546—534no—
838D42—534no—
839#544—531no—
840#544C2×D5311yescharacteristic, complemented
841#543—534no—
842#542—532no—
843#542—532no—
844#542—534no—
845#542—532no—
846#542—532no—
847#542C2×D5314yescomplemented
848#541—532no—
849#541—532no—
850#541—534no—
851#541C2×D5314yescomplemented
852#540—532no—
853#540—532no—
854#539—538no—
855#539—538no—
856#539—538no—
857#539—538no—
858#539—538no—
859#539—534no—
860#539—538no—
861#539—538no—
862#539—534no—
863#539—534no—
864#539—534no—
865#539—534no—
866#539C2×D5314yescomplemented
867#538—538no—
868#538—538no—
869#538—534no—
870#538—534no—
871#537—531no—
872#537C2×D5311yescharacteristic
873#536—532no—
874#536C2×D5312yescomplemented
875#534—538no—
876#534—534no—
877#533—534no—
878#533—532no—
879#533C2×D5314yescomplemented
880#532—532no—
881#529—538no—
882#529—538no—
883#529—538no—
884#529—534no—
885#529—534no—
886#529—534no—
887#529—534no—
888#529—534no—
889#529—534no—
890#529C2×D5314yescomplemented
891#529C2×D5314yescomplemented
892C2×#126—538no—
893C2×#125—538no—
894#525—532no—
895#525—538no—
896#525—534no—
897#525—538no—
898#525—534no—
899#525—532no—
900C2×#123—538no—
901C2×#123—538no—
902C2×C22⋊Q8—534no—
903C2×C22⋊Q8—538no—
904C2×#121—534no—
905#520—532no—
906#520—534no—
907#520—534no—
908#520—534no—
909#520—534no—
910#520—534no—
911#520—532no—
912#520—534no—
913#518—538no—
914#518—534no—
915#518—532no—
916#518—534no—
917C4×#41—534no—
918C4×#41—532no—
919C4×#41—534no—
920C4×#41C2×D5312yescomplemented
921C2×C4×Q8—531no—
922C2×C4×Q8C2×D5311yescharacteristic, complemented
923C2×C4×D4—538no—
924C2×C4×D4—534no—
925C2×C4×D4—531no—
926C2×C4×D4—532no—
927C2×C4×D4—531no—
928C2×C4×D4—532no—
929C2×C4×D4—534no—
930C2×#117—531no—
931C2×#117—532no—
932C22×C4⋊C4—532no—
933C22×C4⋊C4—531no—
934C53#6284711yescharacteristic, complemented, Sylow
935H(5,𝔽2)—10616no—
936C2×#41—534no—
937C2×#41—534no—
938C2×#41—534no—
939C2×#41—534no—
940C2×#41—534no—
941C2×#41—532no—
942C2×#41—534no—
943C2×#41—1068no—
944C2×#41C22×D5312yes—
945C22×Q8—534no—
946C22×Q8C22×D5311yescharacteristic
947C22×D4—538no—
948C22×D4—534no—
949C22×D4—534no—
950C22×D4—531no—
951C22×D4—532no—
952C22×D4—534no—
953C23×C4—532no—
954C23×C4—531no—
955C23×C4—532no—
956C23×C4—532no—
957C23×C4—532no—
958C23×C4—538no—
959C4⋊Q8—532no—
960C4⋊Q8—534no—
961C4⋊Q8—532no—
962C4⋊Q8—532no—
963C4⋊Q8—534no—
964C4⋊Q8C22×D5314yes—
965C4⋊Q8C22×D5314yes—
966#127—532no—
967#126—538no—
968#126—538no—
969#126—538no—
970#126—534no—
971#126—538no—
972#126—534no—
973#126—534no—
974#126—538no—
975#126—538no—
976#126—538no—
977#126—534no—
978#126—534no—
979#126—534no—
980#126—534no—
981#126—534no—
982#126—538no—
983#126C22×D5318yes—
984#126C22×D5318yes—
985#125—534no—
986#125—538no—
987#125—538no—
988#125—538no—
989#125—538no—
990#125—538no—
991#125—538no—
992#125—534no—
993#125—534no—
994#125—532no—
995#125—532no—
996#125—534no—
997#125—534no—
998#125—534no—
999#125C22×D5318yes—
1000#125C22×D5314yes—
1001#125C22×D5314yes—
1002#124—534no—
1003#124—532no—
1004#124—532no—
1005#124—534no—
1006#124—538no—
1007#124—534no—
1008#124—534no—
1009#124—534no—
1010#124—534no—
1011#124C22×D5314yes—
1012#124C22×D5314yes—
1013#123—534no—
1014#123—538no—
1015#123—534no—
1016#123—538no—
1017#123—534no—
1018#123—534no—
1019#123—534no—
1020#123—538no—
1021#123—538no—
1022#123—538no—
1023#123—538no—
1024#123—534no—
1025#123—538no—
1026#123—538no—
1027#123—538no—
1028#123—538no—
1029#123—534no—
1030#123—534no—
1031#123—534no—
1032#123—538no—
1033#123—538no—
1034#123—538no—
1035#123—538no—
1036#123—538no—
1037#123—538no—
1038#123—534no—
1039#123C22×D5318yes—
1040#123C22×D5318yes—
1041C22⋊Q8—534no—
1042C22⋊Q8—538no—
1043C22⋊Q8—534no—
1044C22⋊Q8—538no—
1045C22⋊Q8—532no—
1046C22⋊Q8—532no—
1047C22⋊Q8—534no—
1048C22⋊Q8—534no—
1049C22⋊Q8—534no—
1050C22⋊Q8—534no—
1051C22⋊Q8—534no—
1052C22⋊Q8—534no—
1053C22⋊Q8—538no—
1054C22⋊Q8—534no—
1055C22⋊Q8—538no—
1056C22⋊Q8—538no—
1057C22⋊Q8—534no—
1058C22⋊Q8—538no—
1059C22⋊Q8—532no—
1060C22⋊Q8—532no—
1061C22⋊Q8—538no—
1062C22⋊Q8—538no—
1063C22⋊Q8—534no—
1064C22⋊Q8—534no—
1065C22⋊Q8—534no—
1066C22⋊Q8—538no—
1067C22⋊Q8—538no—
1068C22⋊Q8—534no—
1069C22⋊Q8C22×D5314yes—
1070C22⋊Q8C22×D5318yes—
1071C22⋊Q8C22×D5314yes—
1072C22⋊Q8C22×D5314yes—
1073C22⋊Q8C22×D5314yes—
1074#121—534no—
1075#121—534no—
1076#121—534no—
1077#121—532no—
1078#121—532no—
1079#121—534no—
1080#121—534no—
1081#121—534no—
1082#121—534no—
1083#121—534no—
1084#121—538no—
1085#121—534no—
1086#121—532no—
1087#121—532no—
1088#121—538no—
1089#121—534no—
1090#121—538no—
1091#121—534no—
1092#121—538no—
1093#121—538no—
1094#121—534no—
1095#121C22×D5314yes—
1096#121C22×D5314yes—
1097#120—534no—
1098#120—538no—
1099#120—534no—
1100#120—538no—
1101#120—538no—
1102#120—538no—
1103C4×Q8—534no—
1104C4×Q8—534no—
1105C4×Q8—534no—
1106C4×Q8—538no—
1107C4×Q8—532no—
1108C4×Q8—532no—
1109C4×Q8—534no—
1110C4×Q8—534no—
1111C4×Q8—534no—
1112C4×Q8—534no—
1113C4×Q8C22×D5314yes—
1114C4×Q8C22×D5314yes—
1115C4×Q8C22×D5312yes—
1116C4×Q8C22×D5312yes—
1117C4×Q8C22×D5314yes—
1118C4×D4—538no—
1119C4×D4—534no—
1120C4×D4—534no—
1121C4×D4—538no—
1122C4×D4—534no—
1123C4×D4—538no—
1124C4×D4—534no—
1125C4×D4—534no—
1126C4×D4—534no—
1127C4×D4—534no—
1128C4×D4—538no—
1129C4×D4—534no—
1130C4×D4—538no—
1131C4×D4—538no—
1132C4×D4—534no—
1133C4×D4—534no—
1134C4×D4—534no—
1135C4×D4—538no—
1136C4×D4—538no—
1137C4×D4—538no—
1138C4×D4—538no—
1139C4×D4—538no—
1140C4×D4—538no—
1141C4×D4—538no—
1142C4×D4—534no—
1143C4×D4—534no—
1144C4×D4—538no—
1145C4×D4—532no—
1146C4×D4—534no—
1147C4×D4—534no—
1148C4×D4—538no—
1149C4×D4—534no—
1150C4×D4—534no—
1151C4×D4—534no—
1152C4×D4—534no—
1153C4×D4—532no—
1154C4×D4—534no—
1155C4×D4—534no—
1156C4×D4—534no—
1157C4×D4—534no—
1158C4×D4C22×D5314yes—
1159C4×D4C22×D5312yes—
1160C4×D4C22×D5314yes—
1161C4×D4C22×D5312yes—
1162C4×D4C22×D5314yes—
1163#117—532no—
1164#117—534no—
1165#117—538no—
1166#117—534no—
1167#117—538no—
1168#117—534no—
1169#117—534no—
1170#117—538no—
1171#117—532no—
1172#117—532no—
1173#117—532no—
1174#117—532no—
1175#117—538no—
1176#117—538no—
1177#117—534no—
1178#117—538no—
1179#117—538no—
1180#117C22×D5312yes—
1181#117C22×D5314yes—
1182#117C22×D5318yes—
1183C2×C4⋊C4—531no—
1184C2×C4⋊C4—532no—
1185C2×C4⋊C4—531no—
1186C2×C4⋊C4—532no—
1187C2×C4⋊C4—531no—
1188C2×C4⋊C4—534no—
1189C2×C4⋊C4—538no—
1190C2×C4⋊C4—538no—
1191C2×C4⋊C4—534no—
1192C2×C4⋊C4—534no—
1193C2×C4⋊C4—538no—
1194C2×C4⋊C4—534no—
1195C2×C4⋊C4—534no—
1196C2×C4⋊C4—538no—
1197C2×C4⋊C4—538no—
1198C2×C4⋊C4—534no—
1199C2×C4⋊C4—538no—
1200C2×C4⋊C4C22×D5311yescharacteristic
1201C2×C4⋊C4C22×D5312yes—
1202C2×C22⋊C4—532no—
1203C2×C22⋊C4—532no—
1204C2×C22⋊C4—531no—
1205C2×C22⋊C4—531no—
1206C2×C22⋊C4—538no—
1207C2×C22⋊C4—538no—
1208C2×C22⋊C4—538no—
1209C2×C22⋊C4—538no—
1210C2×C22⋊C4—538no—
1211C2×C22⋊C4—538no—
1212C2×C22⋊C4—538no—
1213C2×C42—532no—
1214C2×C42—531no—
1215C2×C42—538no—
1216C2×C42—534no—
1217C2×C42C22×D5311yescharacteristic
1218C2×C42C22×D5312yes—
1219C2×C42C22×D5314yes—
1220C24—532no—
1221C24—538no—
1222C24—531no—
1223#41—28no—
1224#41—10616no—
1225#41—10616no—
1226#41—10616no—
1227#41—10616no—
1228#41—1068no—
1229#41—4244no—
1230#41—4244no—
1231C2×Q8—24no—
1232C2×Q8—532no—
1233C2×Q8—534no—
1234C2×Q8—534no—
1235C2×Q8—534no—
1236C2×Q8—4244no—
1237C2×Q8C23×D5314yes—
1238C2×Q8C23×D5312yes—
1239C2×Q8C23×D5314yes—
1240C2×D4—538no—
1241C2×D4—534no—
1242C2×D4—534no—
1243C2×D4—534no—
1244C2×D4—534no—
1245C2×D4—534no—
1246C2×D4—538no—
1247C2×D4—534no—
1248C2×D4—534no—
1249C2×D4—534no—
1250C2×D4—538no—
1251C2×D4—532no—
1252C2×D4—534no—
1253C2×D4—534no—
1254C2×D4—534no—
1255C2×D4—10616no—
1256C2×D4—1068no—
1257C2×D4—10616no—
1258C2×D4—10632no—
1259C2×D4—4244no—
1260C2×D4C23×D5314yes—
1261C2×D4C23×D5312yes—
1262C2×D4C23×D5314yes—
1263C22×C4—531no—
1264C22×C4—531no—
1265C22×C4—532no—
1266C22×C4—531no—
1267C22×C4—538no—
1268C22×C4—538no—
1269C22×C4—534no—
1270C22×C4—538no—
1271C22×C4—532no—
1272C22×C4—532no—
1273C22×C4—538no—
1274C22×C4—534no—
1275C22×C4—538no—
1276C22×C4—534no—
1277C22×C4—534no—
1278C22×C4—538no—
1279C22×C4—538no—
1280C22×C4—534no—
1281C22×C4—534no—
1282C22×C4—534no—
1283C22×C4—1068no—
1284C22×C4—1064no—
1285C22×C4—4242no—
1286C22×C4—4248no—
1287C22×C4—4242no—
1288C22×C4—4242no—
1289C22×C4C23×D5312yes—
1290C22×C4C23×D5314yes—
1291C22×C4C23×D5311yescharacteristic
1292C22×C4C23×D5314yes—
1293C22×C4C23×D5311yescharacteristic
1294C22×C4C23×D5312yes—
1295C22×C4C23×D5314yes—
1296C22×C4C23×D5311yescharacteristic
1297C4⋊C4—534no—
1298C4⋊C4—532no—
1299C4⋊C4—538no—
1300C4⋊C4—532no—
1301C4⋊C4—534no—
1302C4⋊C4—534no—
1303C4⋊C4—532no—
1304C4⋊C4—538no—
1305C4⋊C4—534no—
1306C4⋊C4—538no—
1307C4⋊C4—534no—
1308C4⋊C4—534no—
1309C4⋊C4—534no—
1310C4⋊C4—534no—
1311C4⋊C4—534no—
1312C4⋊C4—534no—
1313C4⋊C4—534no—
1314C4⋊C4—534no—
1315C4⋊C4—532no—
1316C4⋊C4—532no—
1317C4⋊C4—534no—
1318C4⋊C4—538no—
1319C4⋊C4—534no—
1320C4⋊C4—538no—
1321C4⋊C4—538no—
1322C4⋊C4—532no—
1323C4⋊C4—534no—
1324C4⋊C4—534no—
1325C4⋊C4—534no—
1326C4⋊C4—534no—
1327C4⋊C4—534no—
1328C4⋊C4C23×D5314yes—
1329C4⋊C4C23×D5318yes—
1330C4⋊C4C23×D5312yes—
1331C4⋊C4C23×D5314yes—
1332C4⋊C4C23×D5314yes—
1333C4⋊C4C23×D5314yes—
1334C4⋊C4C23×D5318yes—
1335C4⋊C4C23×D5318yes—
1336C4⋊C4C23×D5318yes—
1337C4⋊C4C23×D5312yes—
1338C4⋊C4C23×D5314yes—
1339C22⋊C4—534no—
1340C22⋊C4—538no—
1341C22⋊C4—534no—
1342C22⋊C4—534no—
1343C22⋊C4—534no—
1344C22⋊C4—534no—
1345C22⋊C4—534no—
1346C22⋊C4—534no—
1347C22⋊C4—538no—
1348C22⋊C4—538no—
1349C22⋊C4—538no—
1350C22⋊C4—534no—
1351C22⋊C4—534no—
1352C22⋊C4—534no—
1353C22⋊C4—534no—
1354C22⋊C4—534no—
1355C22⋊C4—538no—
1356C22⋊C4—531no—
1357C22⋊C4—531no—
1358C22⋊C4—532no—
1359C22⋊C4—532no—
1360C22⋊C4—531no—
1361C22⋊C4—531no—
1362C22⋊C4—538no—
1363C22⋊C4—538no—
1364C22⋊C4—538no—
1365C22⋊C4—534no—
1366C22⋊C4—534no—
1367C22⋊C4—534no—
1368C22⋊C4—534no—
1369C22⋊C4—534no—
1370C22⋊C4C23×D5314yes—
1371C22⋊C4C23×D5314yes—
1372C22⋊C4C23×D5314yes—
1373C22⋊C4C23×D5318yes—
1374C22⋊C4C23×D5318yes—
1375C22⋊C4C23×D5318yes—
1376C42—534no—
1377C42—538no—
1378C42—538no—
1379C42—538no—
1380C42—534no—
1381C42—534no—
1382C42—532no—
1383C42—532no—
1384C42C23×D5312yes—
1385C42C23×D5314yes—
1386C42C23×D5312yes—
1387C42C23×D5314yes—
1388C42C23×D5314yes—
1389C42C23×D5314yes—
1390C42C23×D5314yes—
1391C23—534no—
1392C23—538no—
1393C23—534no—
1394C23—531no—
1395C23—531no—
1396C23—10616no—
1397C23—1062no—
1398C23—2128no—
1399C23—2128no—
1400C23—2122no—
1401C23—2121no—
1402C23—2122no—
1403C23—2121no—
1404C23C24×D5314yes—
1405C23C24×D5311yescharacteristic
1406Q8—28no—
1407Q8—24no—
1408Q8—44no—
1409Q8—1064no—
1410Q8—2124no—
1411Q8—2124no—
1412Q8—2124no—
1413D4—28no—
1414D4—24no—
1415D4—44no—
1416D4—5316no—
1417D4—10616no—
1418D4—1068no—
1419D4—1068no—
1420D4—10616no—
1421D4—1068no—
1422D4—1064no—
1423D4—2124no—
1424D4—2124no—
1425D4—2124no—
1426D4—2124no—
1427D4—2124no—
1428D4—2124no—
1429D4—2124no—
1430C2×C4—24no—
1431C2×C4—28no—
1432C2×C4—41no—
1433C2×C4—44no—
1434C2×C4—42no—
1435C2×C4—41no—
1436C2×C4—44no—
1437C2×C4—532no—
1438C2×C4—534no—
1439C2×C4—534no—
1440C2×C4—534no—
1441C2×C4—531no—
1442C2×C4—534no—
1443C2×C4—531no—
1444C2×C4—532no—
1445C2×C4—10616no—
1446C2×C4—10616no—
1447C2×C4—1062no—
1448C2×C4—1064no—
1449C2×C4—1064no—
1450C2×C4—1068no—
1451C2×C4—2124no—
1452C2×C4—2128no—
1453C2×C4—2128no—
1454C2×C4—2124no—
1455C2×C4—2124no—
1456C2×C4—2124no—
1457C2×C4—2128no—
1458C2×C4—2124no—
1459C2×C4—2124no—
1460C2×C4—2128no—
1461C2×C4—2121no—
1462C2×C4—2122no—
1463C2×C4—2121no—
1464C2×C4—2128no—
1465C2×C4#41×D5314yes—
1466C2×C4C24×D5311yescharacteristic
1467C2×C4C24×D5312yes—
1468C2×C4C24×D5314yes—
1469C2×C4C24×D5314yes—
1470C2×C4C24×D5314yes—
1471C2×C4C24×D5311yescharacteristic
1472C2×C4C24×D5314yes—
1473C2×C4C24×D5314yes—
1474C2×C4C24×D5312yes—
1475C22—21no—
1476C22—21no—
1477C22—24no—
1478C22—24no—
1479C22—24no—
1480C22—538no—
1481C22—1064no—
1482C22—1064no—
1483C22—1061no—
1484C22—1061no—
1485C22—1064no—
1486C22—1061no—
1487C22—1061no—
1488C22—1064no—
1489C22—1064no—
1490C22—1061no—
1491C22—1061no—
1492C22—42416no—
1493C22—2128no—
1494C22—2124no—
1495C22C2×#41×D5312yes—
1496C22C25×D5311yescharacteristic
1497C4—24no—
1498C4—24no—
1499C4—22no—
1500C4—24no—
1501C4—24no—
1502C4—21no—
1503C4—21no—
1504C4—24no—
1505C4—1062no—
1506C4—1064no—
1507C4—1064no—
1508C4—1061no—
1509C4—1064no—
1510C4—1061no—
1511C4—1064no—
1512C4—1062no—
1513C4C2×#41×D5314yes—
1514C2—22no—
1515C2—44no—
1516C2—1068no—
1517C2—2124no—
1518C2—2121no—
1519C2—2121no—
1520C2C22×#41×D5311yescharacteristic
1521C2#2028952611yescharacteristic
1522C2#2028952711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3461C2
hypercenter#3461D53
hypocenterC53#62847
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3461

Complements

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

NH ≅ G/Ntype
1. #20288789C2semidirect
2. #20288777C2semidirect
3. #20288762C2semidirect
4. #20288759C2semidirect
5. #20288691C2semidirect
6. #20288688C2semidirect
7. #20288661C2semidirect
8. #20288649C2semidirect
9. #20288579C2semidirect
10. #20288550C2semidirect
11. #20288517C2semidirect
12. #20288478C2semidirect
13. #20288425C2semidirect
14. #20288422C2semidirect
15. #20288407C2semidirect
16. #20288358C2semidirect
17. #20288148C2semidirect
18. #20288123C2semidirect
19. #20288100C2semidirect
20. #539×D53C2semidirect
21. C4×#13133263C2semidirect
22. C2×#16811105C2semidirect
23. C53×#3461C2semidirect
26. #16811355C22semidirect
27. #16811348C22semidirect
28. #16811347C22semidirect
29. #16811344C22semidirect
30. #16811342C22semidirect
31. #16811334C22semidirect
32. #16811334C22semidirect
33. #16811331C22semidirect
34. #16811331C22semidirect
35. #16811329C22semidirect
36. #16811329C22semidirect
37. #16811326C22semidirect
38. #16811326C22semidirect
39. #16811324C22semidirect
40. #16811323C22semidirect
41. #16811320C22semidirect
42. #16811317C22semidirect
43. #16811315C22semidirect
44. #16811314C22semidirect
45. #16811314C22semidirect
46. #16811312C22semidirect
47. #16811311C22semidirect
48. #16811311C22semidirect
49. #16811309C22semidirect
50. #16811307C22semidirect
51. #16811307C22semidirect
52. #16811305C22semidirect
53. #16811303C22semidirect
54. #16811302C22semidirect
55. #16811298C22semidirect
56. #16811298C22semidirect
57. #16811297C22semidirect
58. #16811297C22semidirect
59. #16811288C22semidirect
60. #16811285C22semidirect
61. #16811281C22semidirect
62. #16811276C22semidirect
63. #16811276C22semidirect
64. #16811276C22semidirect
65. #16811275C22semidirect
66. #16811275C22semidirect
67. #16811275C22semidirect
68. #16811273C22semidirect
69. #16811270C22semidirect
70. #16811268C22semidirect
71. #16811266C22semidirect
72. #16811266C22semidirect
73. #16811266C22semidirect
74. #16811264C22semidirect
75. #16811264C22semidirect
76. #16811264C22semidirect
77. #16811257C22semidirect
78. #16811254C22semidirect
79. #16811248C22semidirect
80. #16811245C22semidirect
81. #16811245C22semidirect
82. #16811245C22semidirect
83. #16811238C22semidirect
84. #16811238C22semidirect
85. #16811231C22semidirect
86. #16811231C22semidirect
87. #16811231C22semidirect
88. #16811224C22semidirect
89. #16811224C22semidirect
90. #16811222C22semidirect
91. #16811221C22semidirect
92. #16811221C22semidirect
93. #16811220C22semidirect
94. #16811219C22semidirect
95. #16811219C22semidirect
96. #16811218C22semidirect
97. #16811217C22semidirect
98. #16811216C22semidirect
99. #16811215C22semidirect
100. #16811215C22semidirect
101. #16811214C22semidirect
102. #16811212C22semidirect
103. #16811209C22semidirect
104. #16811206C22semidirect
105. #16811206C22semidirect
107. #16811197C22semidirect
108. #16811184C22semidirect
110. #16811177C22semidirect
111. #16811176C22semidirect
113. #16811160C22semidirect
114. #16811158C22semidirect
115. #16811157C22semidirect
116. #16811157C22semidirect
117. #16811157C22semidirect
118. #16811156C22semidirect
119. #16811151C22semidirect
120. #16811151C22semidirect
121. #16811150C22semidirect
122. #126×D53C22semidirect
123. #125×D53C22semidirect
124. #16811136C22semidirect
125. #16811136C22semidirect
126. #16811135C22semidirect
127. #16811133C22semidirect
128. #16811131C22semidirect
129. #16811130C22semidirect
130. #123×D53C22semidirect
131. #123×D53C22semidirect
132. C22⋊Q8×D53C22semidirect
133. C22⋊Q8×D53C22semidirect
135. #16811106C22semidirect
136. #16811105C22semidirect
137. #16811105C22semidirect
138. #16811105C22semidirect
139. #16811105C22semidirect
140. #16811105C22semidirect
141. #16811103C22semidirect
142. #16811103C22semidirect
144. #16811097C22semidirect
145. #16811095C22semidirect
146. #16811095C22semidirect
147. C4×#11719949C22semidirect
148. C4×#11719945C22semidirect
149. C4×#11719945C22semidirect
150. C2×Q8×Dic53C22semidirect
152. C2×C4×D212C22semidirect
153. C2×C4×D212C22semidirect
155. C2×#13133179C22semidirect
156. C4×D4×D53C22semidirect
157. C4×D4×D53C22semidirect
158. C2×#13133174C22semidirect
159. C2×#13133174C22semidirect
160. C2×C4⋊C4×D53C22semidirect
161. C2×C4⋊C4×D53C22semidirect
162. C53×#544C22semidirect
163. C53×#542C22semidirect
164. C53×#541C22semidirect
165. C53×#539C22semidirect
167. C53×#536C22semidirect
168. C53×#533C22semidirect
169. C53×#529C22semidirect
170. C53×#529C22semidirect
171. C4×#41×C53C22semidirect
172. C2×C4×Q8×C53C22semidirect
501. C2×D212#41semidirect
770. #3461D53semidirect
840. #544C2×D53semidirect
847. #542C2×D53semidirect
851. #541C2×D53semidirect
866. #539C2×D53semidirect
874. #536C2×D53semidirect
879. #533C2×D53semidirect
890. #529C2×D53semidirect
891. #529C2×D53semidirect
920. C4×#41C2×D53semidirect
922. C2×C4×Q8C2×D53semidirect
934. C53#62847semidirect

Maximal subgroups

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

subgroupindex
#202887892
#202887772
#202887622
#202887592
#202886912
#202886882
#202886612
#202886492
#202885792
#202885502
#202885172
#202884782
#202884252
#202884222
#202884072
#202883582
#202881482
#202881232
#202881002
#539×D532
C4×#131332632
C2×#168111052
C53×#34612
#6284753