Finite Group Databasebeta

← #28293297

Subgroups — #28293297

Order 13568.

6866 conjugacy classes of subgroups.

The subgroup lattice has 1486 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288607C214yesmaximal, complemented
2#20288604C214yesmaximal, complemented
3#20288597C214yesmaximal, complemented
4#20288594C214yesmaximal, complemented
5#20288575C214yesmaximal, complemented
6#20288571C214yesmaximal, complemented
7#20288465C214yesmaximal, complemented
8#20288462C214yesmaximal, complemented
9#20288459C214yesmaximal, complemented
10#20288455C214yesmaximal, complemented
11#20288409C214yesmaximal, complemented
12#20288407C214yesmaximal, complemented
13#20288149C211yesmaximal, characteristic, complemented
14#20288148C211yesmaximal, characteristic, complemented
15#20288143C211yesmaximal, characteristic, complemented
16#20288142C212yesmaximal, complemented
17#20288139C212yesmaximal, complemented
18#20288119C211yesmaximal, characteristic, complemented
19#20288043C211yesmaximal, characteristic
20#536×D53C212yesmaximal, complemented
21#20287914C212yesmaximal, complemented
22C2×#16811099C211yesmaximal, characteristic, complemented
23C53×#3461C211yesmaximal, characteristic, complemented
24C2×#41×D53C2212yes—
25C22×Q8×D53C2211yescharacteristic
26#16811357C2218yescomplemented
27#16811356C2214yescomplemented
28#16811355C2214yescomplemented
29#16811350C2214yescomplemented
30#16811350C2218yescomplemented
31#16811349C2214yescomplemented
32#16811345C2214yescomplemented
33#16811344C2218yescomplemented
34#16811342C2214yescomplemented
35#16811341C2218yescomplemented
36#16811340C2218yescomplemented
37#16811340C2218yescomplemented
38#16811340C2218yescomplemented
39#16811332C2214yescomplemented
40#16811329C2214yescomplemented
41#16811327C2218yescomplemented
42#16811314C2218yescomplemented
43#16811312C2218yescomplemented
44#16811311C2218yescomplemented
45#16811310C2218yescomplemented
46#16811309C2218yescomplemented
47#16811309C2218yescomplemented
48#16811309C2218yescomplemented
49#16811307C2218yescomplemented
50#16811306C2218yescomplemented
51#16811305C2218yescomplemented
52#16811305C2218yescomplemented
53#16811305C2218yescomplemented
54#16811303C2218yescomplemented
55#16811302C2218yescomplemented
56#16811301C2218yescomplemented
57#16811300C2218yescomplemented
58#16811298C2218yescomplemented
59#16811298C2218yescomplemented
60#16811297C2218yescomplemented
61#16811296C2218yescomplemented
62#16811254C2211yescharacteristic, complemented
63#16811253C2214yescomplemented
64#16811251C2212yescomplemented
65#16811250C2214yescomplemented
66#16811248C2214yes—
67#16811247C2214yescomplemented
68#16811246C2214yescomplemented
69#16811245C2214yescomplemented
70#16811244C2214yescomplemented
71#16811242C2214yescomplemented
72#16811240C2214yescomplemented
73#16811238C2214yescomplemented
74#16811236C2214yescomplemented
75#16811235C2214yescomplemented
76#16811234C2214yescomplemented
77#16811233C2214yescomplemented
78#16811233C2214yescomplemented
79#16811231C2214yescomplemented
80#16811231C2214yescomplemented
81#16811222C2214yescomplemented
82#16811220C2214yescomplemented
83#16811218C2214yescomplemented
84#16811217C2218yescomplemented
85#16811215C2218yescomplemented
86#16811204C2211yescharacteristic
87#16811201C2212yes—
88#16811199C2212yescomplemented
89#16811198C2214yes—
90#16811197C2212yescomplemented
91#16811196C2214yes—
92#16811196C2214yes—
93#16811196C2214yes—
94#16811195C2218yescomplemented
95#16811194C2212yescomplemented
96#16811193C2214yes—
97#16811189C2214yes—
98#16811181C2214yes—
99#16811180C2214yescomplemented
100#16811179C2214yescomplemented
101#16811178C2214yescomplemented
102#16811178C2214yescomplemented
103#16811178C2214yescomplemented
104#16811177C2214yescomplemented
105#16811177C2214yescomplemented
106#16811175C2214yescomplemented
107#16811175C2214yescomplemented
108#16811175C2214yescomplemented
109#16811168C2214yes—
110C4⋊Q8×D53C2214yescomplemented
111#16811160C2214yescomplemented
112#16811159C2214yescomplemented
113#16811159C2214yescomplemented
114#16811158C2214yescomplemented
115#16811157C2214yescomplemented
116#16811157C2214yescomplemented
117#16811155C2214yescomplemented
118#16811154C2214yescomplemented
119#16811154C2214yescomplemented
120#16811153C2218yescomplemented
121#16811152C2214yescomplemented
122#16811150C2218yescomplemented
123#124×D53C2214yescomplemented
124#16811136C2214yes—
125#16811133C2214yes—
126#123×D53C2218yes—
127C22⋊Q8×D53C2214yescomplemented
128C22⋊Q8×D53C2214yescomplemented
129#16811105C2212yes—
130#16811105C2212yes—
131#16811102C2212yes—
132#16811102C2212yes—
133#16811102C2214yescomplemented
134#16811102C2214yescomplemented
135#16811099C2212yescomplemented
136#16811099C2214yescomplemented
137#16811099C2212yescomplemented
138#16811099C2214yescomplemented
139#16811099C2214yescomplemented
140#16811099C2214yescomplemented
141#16811095C2214yes—
142#16811095C2214yes—
143#16811095C2212yescomplemented
144#16811095C2212yescomplemented
145#41×Dic53C2212yescomplemented
146C4×#11719945C2214yes—
147C4×#11719945C2212yescomplemented
148#16811091C2214yes—
149#16811091C2212yescomplemented
150C2×Q8×Dic53C2211yescharacteristic, complemented
151C2×C4×Dic106C2212yescomplemented
152C2×C4×Dic106C2211yescharacteristic, complemented
153C2×#13133182C2212yescomplemented
154C2×#13133182C2211yescharacteristic, complemented
155C2×#13133175C2211yescharacteristic
156C2×#13133175C2212yes—
157C2×#13133174C2212yes—
158C2×#13133174C2211yescharacteristic
159C2×#13133174C2214yescomplemented
160#117×D53C2212yes—
161#117×D53C2214yescomplemented
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
173C2×#11719949C2312yes—
174C2×#11719945C2314yes—
175C2×#11719945C2312yes—
176C2×#11719947C2312yes—
177C2×#11719947C2314yes—
178#41×D53—216no—
179C22×Dic106C2311yescharacteristic
180C22×Dic106C2312yes—
181C2×Q8×D53—28no—
182C2×Q8×D53C2314yes—
183C2×Q8×D53C2314yes—
184C2×Q8×D53C2312yes—
185C2×D4×D53C2314yes—
186C2×D4×D53C2312yes—
187C22×C4×D53C2314yes—
188C22×C4×D53C2312yes—
189C22×C4×D53C2311yescharacteristic
190#13133217C2314yes—
191#13133217C2314yes—
192#13133216C2314yes—
193#13133216C2318yes—
194#13133216C2318yes—
195#13133216C2314yes—
196#13133216C2314yes—
197#13133216C2314yes—
198#13133215C2314yes—
199#13133215C2314yes—
200#13133215C2314yes—
201#13133213C2314yes—
202#13133212C2318yes—
203#13133212C2318yes—
204#13133212C2318yes—
205#13133212C2318yes—
206#13133212C2318yes—
207#13133212C2318yes—
208#13133211C2318yes—
209#13133211C2318yes—
210#13133210C2318yes—
211#13133210C2318yes—
212#13133210C2318yes—
213#13133210C2318yes—
214#13133210C2318yes—
215#13133210C2318yes—
216#13133209C2318yes—
217#13133209C2314yes—
218#13133209C2314yes—
219#13133208C2318yes—
220#13133208C2314yes—
221#13133208C2318yes—
222#13133208C2314yes—
223#13133208C2314yes—
224#13133208C2314yes—
225#13133207C2318yes—
226#13133207C2318yes—
227#13133207C2318yes—
228#13133207C2318yes—
229#13133207C2318yes—
230#13133207C2318yes—
231#13133207C2318yes—
232#13133206C2314yes—
233#13133206C2314yes—
234#13133205C2314yes—
235#13133205C2314yes—
236#13133204C2314yes—
237#13133204C2314yes—
238#13133203C2318yes—
239#13133203C2318yes—
240#13133203C2318yes—
241#13133203C2318yes—
242#13133203C2318yes—
243#13133202C2318yes—
244#13133202C2318yes—
245#13133202C2318yes—
246#13133202C2318yes—
247#13133202C2318yes—
248#13133201C2318yes—
249#13133201C2318yes—
250#13133200C2318yes—
251#13133200C2318yes—
252#13133199C2318yes—
253#13133199C2318yes—
254#13133199C2318yes—
255#13133199C2318yes—
256#13133199C2318yes—
257#13133198C2318yes—
258#13133198C2318yes—
259#13133197C2318yes—
260#13133197C2318yes—
261#13133197C2314yes—
262#13133197C2314yes—
263#13133197C2314yes—
264#13133196C2318yes—
265#13133196C2314yes—
266#13133196C2314yes—
267#13133196C2314yes—
268#13133196C2314yes—
269#13133195C2318yes—
270#13133195C2318yes—
271#13133195C2318yes—
272#13133195C2318yes—
273#13133195C2318yes—
274#13133195C2318yes—
275#13133194C2318yes—
276#13133194C2318yes—
277#13133194C2318yes—
278#13133194C2318yes—
279#13133194C2318yes—
280#13133193C2318yes—
281#13133193C2318yes—
282#13133193C2314yes—
283#13133193C2314yes—
284#13133193C2314yes—
285#13133192C2314yes—
286#13133191C2314yes—
287#13133191C2314yes—
288#13133189C2318yes—
289#13133188C2314yes—
290#13133187C2318yes—
291#13133185C2318yes—
292Q8×Dic53C2314yes—
293Q8×Dic53C2314yes—
294Q8×Dic53C2314yes—
295Q8×Dic53C2314yes—
296Q8×Dic53C2312yes—
297Q8×Dic53C2312yes—
298C4×Dic106C2314yes—
299C4×Dic106C2314yes—
300C4×Dic106C2314yes—
301C4×Dic106C2318yes—
302C4×Dic106C2314yes—
303C4×Dic106C2314yes—
304C4×Dic106C2314yes—
305C4×Dic106C2314yes—
306C4×Dic106C2314yes—
307C4×Dic106C2314yes—
308C4×Dic106C2312yes—
309C4×Dic106C2312yes—
310#13133182C2314yes—
311#13133182C2318yes—
312#13133182C2318yes—
313#13133182C2314yes—
314#13133182C2314yes—
315#13133182C2318yes—
316#13133182C2318yes—
317#13133182C2314yes—
318#13133182C2314yes—
319#13133182C2314yes—
320#13133182C2312yes—
321#13133182C2312yes—
322C4×D212C2314yes—
323C4×D212C2314yes—
324C4×D212C2314yes—
325C4×D212C2312yes—
326C4×D212C2312yes—
327D4×Dic53C2314yes—
328D4×Dic53C2314yes—
329D4×Dic53C2314yes—
330D4×Dic53C2314yes—
331D4×Dic53C2312yes—
332D4×Dic53C2312yes—
333#13133179C2314yes—
334#13133179C2314yes—
335#13133179C2314yes—
336#13133179C2314yes—
337#13133179C2312yes—
338#13133179C2312yes—
339C4×C22⋊D53C2318yes—
340C4×C22⋊D53C2314yes—
341C4×C22⋊D53C2314yes—
342C4×C22⋊D53C2314yes—
343C4×C22⋊D53C2314yes—
344C4×C22⋊D53C2314yes—
345C4×C22⋊D53C2314yes—
346#13133177C2314yes—
347#13133177C2318yes—
348#13133177C2314yes—
349#13133177C2318yes—
350#13133177C2314yes—
351#13133177C2314yes—
352#13133177C2314yes—
353#13133177C2314yes—
354#13133176C2318yes—
355#13133176C2312yes—
356#13133176C2314yes—
357#13133175C2318yes—
358#13133175C2318yes—
359#13133175C2318yes—
360#13133175C2318yes—
361#13133175C2314yes—
362#13133175C2314yes—
363#13133175C2312yes—
364#13133175C2312yes—
365#13133175C2314yes—
366#13133175C2314yes—
367#13133174C2318yes—
368#13133174C2318yes—
369#13133174C2318yes—
370#13133174C2318yes—
371#13133174C2314yes—
372#13133174C2314yes—
373#13133174C2314yes—
374#13133174C2314yes—
375#13133174C2314yes—
376#13133174C2312yes—
377#13133174C2312yes—
378#13133174C2312yes—
379#13133174C2312yes—
380#13133174C2314yes—
381#13133174C2314yes—
382#13133173C2318yes—
383#13133173C2318yes—
384#13133173C2314yes—
385#13133173C2314yes—
386#13133173C2314yes—
387C2×C4⋊Dic53C2311yescharacteristic
388C2×C4⋊Dic53C2312yes—
389C2×#11719919C2314yes—
390C2×#11719919C2314yes—
391C2×#11719919C2311yescharacteristic
392C2×#11719919C2312yes—
393C2×#11719919C2311yescharacteristic
394C2×#11719919C2312yes—
395C4⋊C4×D53C2314yes—
396C4⋊C4×D53C2318yes—
397C4⋊C4×D53C2318yes—
398C4⋊C4×D53C2314yes—
399C4⋊C4×D53C2312yes—
400C4⋊C4×D53C2312yes—
401C2×#11719921C2314yes—
402C2×#11719921C2314yes—
403C2×#11719921C2311yescharacteristic
404C2×#11719921C2311yescharacteristic
405C2×#11719921C2312yes—
406C22⋊C4×D53C2318yes—
407C22⋊C4×D53C2318yes—
408C22⋊C4×D53C2314yes—
409C22⋊C4×D53C2314yes—
410C22⋊C4×D53C2314yes—
411C2×C4×Dic53C2311yescharacteristic
412C2×C4×Dic53C2312yes—
413C2×C4×Dic53C2314yes—
414C2×C4×Dic53C2312yes—
415C2×C4×Dic53C2312yes—
416C2×C4×Dic53C2312yes—
417C42×D53C2314yes—
418C42×D53C2314yes—
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×C53C2318yes—
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×D53C2414yes—
459C23×D53C2411yescharacteristic
460#41×C53—28no—
461C2×Q8×C53—24no—
462C2×Q8×C53C2414yes—
463C2×Q8×C53C2412yes—
464C2×Q8×C53C2414yes—
465C2×D4×C53C2414yes—
466C2×D4×C53C2412yes—
467C2×D4×C53C2414yes—
468C22×C4×C53C2412yes—
469C22×C4×C53C2414yes—
470C22×C4×C53C2411yescharacteristic
471C22×C4×C53C2411yescharacteristic
472C22×C4×C53C2412yes—
473C22×C4×C53C2414yes—
474C22×C4×C53C2414yes—
475C22×C4×C53C2411yescharacteristic
476C2×C22⋊D53C2414yes—
477C2×C22⋊D53C2414yes—
478C2×C22⋊D53C2414yes—
479C2×C22⋊D53C2418yes—
480C22×Dic53C2412yes—
481C22×Dic53C2414yes—
482C22×Dic53C2411yescharacteristic
483C22×Dic53C2411yescharacteristic
484C22×Dic53C2412yes—
485C22×Dic53C2414yes—
486C22×Dic53C2414yes—
487C22×Dic53C2411yescharacteristic
488#11719949—28no—
489Q8×D53—216no—
490Q8×D53—216no—
491Q8×D53—28no—
492#11719947—216no—
493#11719947—28no—
494D4×D53—216no—
495D4×D53—28no—
496#11719945—28no—
497#11719945—216no—
498C2×D212C2414yes—
499C2×D212C2412yes—
500C2×D212C2414yes—
501C2×C4×D53—28no—
502C2×C4×D53—216no—
503C2×C4×D53#4118yes—
504C2×C4×D53C2414yes—
505C2×C4×D53C2418yes—
506C2×C4×D53C2414yes—
507C2×C4×D53C2414yes—
508C2×C4×D53C2414yes—
509C2×C4×D53C2414yes—
510C2×C4×D53C2414yes—
511C2×C4×D53C2414yes—
512C2×C4×D53C2414yes—
513C2×C4×D53C2414yes—
514C2×C4×D53C2412yes—
515C2×C4×D53C2412yes—
516C2×Dic106—24no—
517C2×Dic106—28no—
518C2×Dic106C2414yes—
519C2×Dic106C2414yes—
520C2×Dic106C2412yes—
521C2×Dic106C2414yes—
522C2×Dic106C2414yes—
523C2×Dic106C2414yes—
524C2×Dic106C2418yes—
525C4⋊C4×C53C2414yes—
526C4⋊C4×C53C2418yes—
527C4⋊C4×C53C2412yes—
528C4⋊C4×C53C2414yes—
529C4⋊C4×C53C2412yes—
530C4⋊C4×C53C2414yes—
531C4⋊C4×C53C2418yes—
532C4⋊C4×C53C2418yes—
533C4⋊C4×C53C2414yes—
534C4⋊C4×C53C2414yes—
535C4⋊C4×C53C2418yes—
536C22⋊C4×C53C2414yes—
537C22⋊C4×C53C2414yes—
538C22⋊C4×C53C2414yes—
539C22⋊C4×C53C2418yes—
540C22⋊C4×C53C2418yes—
541C22⋊C4×C53C2418yes—
542C42×C53C2412yes—
543C42×C53C2412yes—
544C42×C53C2414yes—
545C42×C53C2414yes—
546C42×C53C2414yes—
547C42×C53C2414yes—
548C42×C53C2414yes—
549C22⋊Dic53C2414yes—
550C22⋊Dic53C2414yes—
551C22⋊Dic53C2414yes—
552C22⋊Dic53C2418yes—
553C22⋊Dic53C2418yes—
554C22⋊Dic53C2418yes—
555#11719921C2412yes—
556#11719921C2412yes—
557#11719921C2414yes—
558#11719921C2414yes—
559#11719921C2418yes—
560#11719921C2418yes—
561#11719921C2418yes—
562#11719921C2418yes—
563#11719921C2412yes—
564#11719921C2412yes—
565#11719921C2418yes—
566#11719921C2414yes—
567#11719921C2414yes—
568#11719921C2414yes—
569#11719921C2414yes—
570#11719921C2418yes—
571#11719921C2418yes—
572C4⋊Dic53C2412yes—
573C4⋊Dic53C2412yes—
574C4⋊Dic53C2414yes—
575C4⋊Dic53C2414yes—
576C4⋊Dic53C2418yes—
577C4⋊Dic53C2418yes—
578C4⋊Dic53C2414yes—
579C4⋊Dic53C2414yes—
580C4⋊Dic53C2414yes—
581C4⋊Dic53C2418yes—
582C4⋊Dic53C2414yes—
583C4⋊Dic53C2414yes—
584#11719919C2411yescharacteristic
585#11719919C2412yes—
586#11719919C2414yes—
587#11719919C2414yes—
588#11719919C2418yes—
589#11719919C2418yes—
590#11719919C2418yes—
591#11719919C2418yes—
592#11719919C2411yescharacteristic
593#11719919C2411yescharacteristic
594#11719919C2412yes—
595#11719919C2414yes—
596#11719919C2414yes—
597#11719919C2411yescharacteristic
598#11719919C2414yes—
599#11719919C2414yes—
600#11719919C2418yes—
601#11719919C2414yes—
602#11719919C2414yes—
603#11719919C2418yes—
604#11719919C2418yes—
605#11719919C2418yes—
606#11719919C2418yes—
607C4×Dic53C2412yes—
608C4×Dic53C2414yes—
609C4×Dic53C2414yes—
610C4×Dic53C2414yes—
611C4×Dic53C2414yes—
612C4×Dic53C2414yes—
613C4×Dic53C2414yes—
614C4×Dic53C2414yes—
615C4×Dic53C2412yes—
616C4×Dic53C2414yes—
617C4×Dic53C2414yes—
618C4×Dic53C2418yes—
619C4×Dic53C2414yes—
620C4×Dic53C2418yes—
621C4×Dic53C2414yes—
622C4×Dic53C2414yes—
623C4×Dic53C2414yes—
624C23×C53C2514yes—
625C23×C53C2511yescharacteristic
626C22×D53—28no—
627C22×D53—41no—
628C22×D53—41no—
629C22×D53—44no—
630C22×D53—44no—
631C22×D53C2×#4114yes—
632C22×D53C2514yes—
633C22×D53C2512yes—
634Q8×C53—28no—
635Q8×C53—24no—
636Q8×C53—44no—
637D4×C53—28no—
638D4×C53—24no—
639D4×C53—44no—
640C2×C4×C53—24no—
641C2×C4×C53—28no—
642C2×C4×C53—44no—
643C2×C4×C53—42no—
644C2×C4×C53—41no—
645C2×C4×C53—41no—
646C2×C4×C53—44no—
647C2×C4×C53C2×#4114yes—
648C2×C4×C53C2514yes—
649C2×C4×C53C2514yes—
650C2×C4×C53C2514yes—
651C2×C4×C53C2514yes—
652C2×C4×C53C2511yescharacteristic
653C2×C4×C53C2512yes—
654C2×C4×C53C2514yes—
655C2×C4×C53C2511yescharacteristic
656C2×C4×C53C2512yes—
657C22⋊D53—28no—
658C22⋊D53—28no—
659C22⋊D53—28no—
660C22⋊D53—48no—
661C2×Dic53—24no—
662C2×Dic53—28no—
663C2×Dic53—44no—
664C2×Dic53—44no—
665C2×Dic53—42no—
666C2×Dic53—41no—
667C2×Dic53—41no—
668C2×Dic53C2×#4114yes—
669C2×Dic53C2514yes—
670C2×Dic53C2514yes—
671C2×Dic53C2514yes—
672C2×Dic53C2514yes—
673C2×Dic53C2514yes—
674C2×Dic53C2511yescharacteristic
675C2×Dic53C2512yes—
676C2×Dic53C2511yescharacteristic
677C2×Dic53C2511yescharacteristic
678C2×Dic53C2511yescharacteristic
679D212—28no—
680D212—24no—
681D212—44no—
682C4×D53—28no—
683C4×D53—216no—
684C4×D53—28no—
685C4×D53—28no—
686C4×D53—44no—
687C4×D53—44no—
688C4×D53—44no—
689C4×D53—44no—
690C4×D53—44no—
691C4×D53—44no—
692C4×D53C2×#4118yes—
693C4×D53C2×#4118yes—
694Dic106—28no—
695Dic106—24no—
696Dic106—28no—
697Dic106—28no—
698Dic106—28no—
699Dic106—44no—
700Dic106—48no—
701#62860—531nomaximal, Sylow
702C22×C53—21no—
703C22×C53—21no—
704C22×C53—24no—
705C22×C53—24no—
706C22×C53—24no—
707C22×C53C22×#4112yes—
708C22×C53C2611yescharacteristic
709C2×D53—22no—
710C2×D53—22no—
711C2×D53—24no—
712C2×D53—24no—
713C2×D53—24no—
714C2×D53—44no—
715C2×D53—88no—
716C2×D53C22×#4114yes—
717C4×C53—24no—
718C4×C53—24no—
719C4×C53—24no—
720C4×C53—24no—
721C4×C53—21no—
722C4×C53—22no—
723C4×C53—24no—
724C4×C53—21no—
725C4×C53C22×#4114yes—
726Dic53—24no—
727Dic53—24no—
728Dic53—24no—
729Dic53—24no—
730Dic53—24no—
731Dic53—21no—
732Dic53—22no—
733Dic53—21no—
734Dic53C22×#4112yes—
735Dic53C22×#4112yes—
736#3510—534no—
737#3510—534no—
738#3509—534no—
739#3509—534no—
740#3507—534no—
741#3507—534no—
742#3495—534no—
743#3495—534no—
744#3495—534no—
745#3495—534no—
746#3491—534no—
747#3491—534no—
748#3461—531no—
749#3461—531no—
750#3461—532no—
751#3461—532no—
752#3461—531no—
753#3461D5311yescharacteristic, complemented
754#3458—531no—
755#3449—531no—
756C2×#536—532no—
757#3428—532no—
758C2×#519—531no—
759C2×C53—22no—
760C2×C53—44no—
761C2×C53C23×#4111yescharacteristic
762C2×C532−1+611yescharacteristic
763C2×C532−1+611yescharacteristic
764D53—24no—
765D53—44no—
766C22×#41—532no—
767C23×Q8—531no—
768#559—534no—
769#559—538no—
770#559—534no—
771#557—538no—
772#557—534no—
773#557—534no—
774#556—538no—
775#556—538no—
776#556—538no—
777#556—534no—
778#556—538no—
779#556—534no—
780#556—538no—
781#554—534no—
782#554—538no—
783#554—534no—
784#552—538no—
785#552—538no—
786#552—538no—
787#552—538no—
788#552—538no—
789#552—538no—
790#552—538no—
791#552—538no—
792#552—538no—
793#552—538no—
794#552—538no—
795#552—538no—
796#551—538no—
797#551—538no—
798#551—538no—
799#551—538no—
800#551—538no—
801#551—538no—
802#551—538no—
803#551—538no—
804#544—534no—
805#544—534no—
806#544—532no—
807#544—531no—
808#544C2×D5311yescharacteristic, complemented
809#543—534no—
810#542—534no—
811#542—534no—
812#542—534no—
813#542—534no—
814#542—534no—
815#542—534no—
816#542—534no—
817#542C2×D5314yescomplemented
818#541—534no—
819#541—534no—
820#541—534no—
821#541—534no—
822#541—534no—
823#541—534no—
824#541—534no—
825#541C2×D5314yescomplemented
826#539—538no—
827#539—534no—
828#539—534no—
829#539—538no—
830#539—534no—
831#539C2×D5314yescomplemented
832#537—532no—
833#537—531no—
834#537C2×D5311yescharacteristic
835#536—532no—
836#536—532no—
837#536—534no—
838#536—534no—
839#536—538no—
840#536—534no—
841#536—534no—
842#536—534no—
843#536—532no—
844#536C2×D5312yescomplemented
845#535—534no—
846#534—534no—
847#533—534no—
848#533—534no—
849#533—534no—
850#533—534no—
851#533—534no—
852#533—534no—
853#533—534no—
854#533—534no—
855#533—534no—
856#533—534no—
857#533C2×D5314yescomplemented
858#532—534no—
859C2×C4⋊Q8—534no—
860#529—534no—
861#529—534no—
862#529—538no—
863#529—534no—
864#529—534no—
865#529—534no—
866#529—534no—
867#529—534no—
868#529—538no—
869#529—534no—
870#529—534no—
871#529—534no—
872#529C2×D5314yescomplemented
873#529C2×D5314yescomplemented
874C2×#124—534no—
875#525—534no—
876#525—534no—
877C2×#123—538no—
878C2×C22⋊Q8—534no—
879C2×C22⋊Q8—534no—
880#520—532no—
881#520—532no—
882#520—532no—
883#520—532no—
884#520—534no—
885#520—534no—
886#519—534no—
887#519—534no—
888#519—534no—
889#519—534no—
890#519—532no—
891#519—532no—
892#518—534no—
893#518—534no—
894#518—532no—
895#518—532no—
896C4×#41—532no—
897C4×#41—534no—
898C4×#41—532no—
899C4×#41—534no—
900C4×#41—532no—
901C4×#41C2×D5312yescomplemented
902C2×C4×Q8—531no—
903C2×C4×Q8—531no—
904C2×C4×Q8—532no—
905C2×C4×Q8—531no—
906C2×C4×Q8—532no—
907C2×C4×Q8C2×D5311yescharacteristic, complemented
908C2×#117—532no—
909C2×#117—534no—
910C2×#117—531no—
911C2×#117—532no—
912C2×#117—531no—
913C2×#117—532no—
914C2×#117—534no—
915C53#6286011yescharacteristic, complemented, Sylow
916C2×#41—532no—
917C2×#41—532no—
918C2×#41—534no—
919C2×#41—534no—
920C2×#41—532no—
921C2×#41—10616no—
922C2×#41C22×D5312yes—
923C22×Q8—534no—
924C22×Q8—534no—
925C22×Q8—532no—
926C22×Q8—532no—
927C22×Q8—531no—
928C22×Q8—1068no—
929C22×Q8C22×D5311yescharacteristic
930C22×D4—534no—
931C22×D4—532no—
932C23×C4—531no—
933C23×C4—534no—
934C23×C4—532no—
935C4⋊Q8—534no—
936C4⋊Q8—534no—
937C4⋊Q8—534no—
938C4⋊Q8—538no—
939C4⋊Q8—538no—
940C4⋊Q8—534no—
941C4⋊Q8—534no—
942C4⋊Q8—534no—
943C4⋊Q8—534no—
944C4⋊Q8—534no—
945C4⋊Q8—534no—
946C4⋊Q8C22×D5314yes—
947C4⋊Q8C22×D5314yes—
948#127—534no—
949#126—538no—
950#126—538no—
951#126—538no—
952#126—538no—
953#126—538no—
954#126—538no—
955#126—538no—
956#126—538no—
957#126—538no—
958#126—538no—
959#126—538no—
960#126—538no—
961#126—538no—
962#126—538no—
963#126C22×D5318yes—
964#126C22×D5318yes—
965#125—534no—
966#125—534no—
967#125—538no—
968#125—538no—
969#125—534no—
970#125—534no—
971#125—538no—
972#125—538no—
973#125—538no—
974#125—538no—
975#125—538no—
976#125—538no—
977#125—538no—
978#125—534no—
979#125—534no—
980#125—538no—
981#125C22×D5314yes—
982#125C22×D5314yes—
983#125C22×D5318yes—
984#124—534no—
985#124—534no—
986#124—534no—
987#124—534no—
988#124—538no—
989#124—538no—
990#124—538no—
991#124—538no—
992#124—538no—
993#124—534no—
994#124—534no—
995#124C22×D5314yes—
996#124C22×D5314yes—
997#123—538no—
998#123—538no—
999#123—538no—
1000#123—538no—
1001#123—538no—
1002#123—538no—
1003#123—538no—
1004#123—538no—
1005#123—538no—
1006#123—538no—
1007#123—538no—
1008#123—538no—
1009#123—538no—
1010#123—538no—
1011#123—538no—
1012#123—538no—
1013#123C22×D5318yes—
1014#123C22×D5318yes—
1015C22⋊Q8—534no—
1016C22⋊Q8—534no—
1017C22⋊Q8—534no—
1018C22⋊Q8—538no—
1019C22⋊Q8—538no—
1020C22⋊Q8—534no—
1021C22⋊Q8—534no—
1022C22⋊Q8—534no—
1023C22⋊Q8—534no—
1024C22⋊Q8—538no—
1025C22⋊Q8—534no—
1026C22⋊Q8—534no—
1027C22⋊Q8—538no—
1028C22⋊Q8—538no—
1029C22⋊Q8—534no—
1030C22⋊Q8—538no—
1031C22⋊Q8—538no—
1032C22⋊Q8—538no—
1033C22⋊Q8—538no—
1034C22⋊Q8—538no—
1035C22⋊Q8—538no—
1036C22⋊Q8—538no—
1037C22⋊Q8—538no—
1038C22⋊Q8—538no—
1039C22⋊Q8—538no—
1040C22⋊Q8—538no—
1041C22⋊Q8C22×D5314yes—
1042C22⋊Q8C22×D5314yes—
1043C22⋊Q8C22×D5314yes—
1044C22⋊Q8C22×D5314yes—
1045C22⋊Q8C22×D5318yes—
1046#121—534no—
1047#121—538no—
1048#121—534no—
1049#121—534no—
1050#121—534no—
1051#121C22×D5314yes—
1052#121C22×D5314yes—
1053#120—538no—
1054#120—538no—
1055C4×Q8—534no—
1056C4×Q8—534no—
1057C4×Q8—532no—
1058C4×Q8—532no—
1059C4×Q8—534no—
1060C4×Q8—534no—
1061C4×Q8—534no—
1062C4×Q8—534no—
1063C4×Q8—538no—
1064C4×Q8—538no—
1065C4×Q8—532no—
1066C4×Q8—532no—
1067C4×Q8—534no—
1068C4×Q8—534no—
1069C4×Q8—534no—
1070C4×Q8—538no—
1071C4×Q8—534no—
1072C4×Q8—538no—
1073C4×Q8—534no—
1074C4×Q8—534no—
1075C4×Q8—534no—
1076C4×Q8—534no—
1077C4×Q8—534no—
1078C4×Q8—534no—
1079C4×Q8—532no—
1080C4×Q8—532no—
1081C4×Q8—534no—
1082C4×Q8—534no—
1083C4×Q8—534no—
1084C4×Q8—538no—
1085C4×Q8C22×D5314yes—
1086C4×Q8C22×D5314yes—
1087C4×Q8C22×D5312yes—
1088C4×Q8C22×D5312yes—
1089C4×Q8C22×D5314yes—
1090C4×D4—534no—
1091C4×D4—534no—
1092C4×D4—532no—
1093C4×D4—532no—
1094C4×D4—534no—
1095C4×D4—534no—
1096C4×D4—534no—
1097C4×D4—534no—
1098C4×D4—534no—
1099C4×D4—534no—
1100C4×D4—534no—
1101C4×D4—534no—
1102C4×D4—538no—
1103C4×D4—532no—
1104C4×D4—532no—
1105C4×D4—534no—
1106C4×D4—534no—
1107C4×D4—534no—
1108C4×D4—534no—
1109C4×D4—534no—
1110C4×D4—534no—
1111C4×D4—534no—
1112C4×D4—534no—
1113C4×D4—534no—
1114C4×D4—534no—
1115C4×D4—538no—
1116C4×D4—538no—
1117C4×D4—532no—
1118C4×D4—532no—
1119C4×D4—534no—
1120C4×D4—534no—
1121C4×D4—534no—
1122C4×D4C22×D5314yes—
1123C4×D4C22×D5312yes—
1124C4×D4C22×D5314yes—
1125C4×D4C22×D5312yes—
1126C4×D4C22×D5314yes—
1127#117—532no—
1128#117—534no—
1129#117—538no—
1130#117—532no—
1131#117—532no—
1132#117—534no—
1133#117—534no—
1134#117—534no—
1135#117—534no—
1136#117—538no—
1137#117—538no—
1138#117—538no—
1139#117—538no—
1140#117—534no—
1141#117—534no—
1142#117—534no—
1143#117—538no—
1144#117—538no—
1145#117—532no—
1146#117—532no—
1147#117—534no—
1148#117—532no—
1149#117—532no—
1150#117—534no—
1151#117—534no—
1152#117—534no—
1153#117—534no—
1154#117—538no—
1155#117—538no—
1156#117—534no—
1157#117—534no—
1158#117—538no—
1159#117—538no—
1160#117C22×D5312yes—
1161#117C22×D5314yes—
1162#117C22×D5318yes—
1163C2×C4⋊C4—531no—
1164C2×C4⋊C4—531no—
1165C2×C4⋊C4—531no—
1166C2×C4⋊C4—532no—
1167C2×C4⋊C4—532no—
1168C2×C4⋊C4—532no—
1169C2×C4⋊C4—534no—
1170C2×C4⋊C4—534no—
1171C2×C4⋊C4—532no—
1172C2×C4⋊C4—532no—
1173C2×C4⋊C4—534no—
1174C2×C4⋊C4—534no—
1175C2×C4⋊C4—538no—
1176C2×C4⋊C4—538no—
1177C2×C4⋊C4C22×D5311yescharacteristic
1178C2×C4⋊C4C22×D5312yes—
1179C2×C22⋊C4—531no—
1180C2×C22⋊C4—531no—
1181C2×C22⋊C4—532no—
1182C2×C22⋊C4—534no—
1183C2×C22⋊C4—534no—
1184C2×C22⋊C4—534no—
1185C2×C22⋊C4—534no—
1186C2×C22⋊C4—534no—
1187C2×C22⋊C4—538no—
1188C2×C22⋊C4—538no—
1189C2×C42—531no—
1190C2×C42—532no—
1191C2×C42—532no—
1192C2×C42—532no—
1193C2×C42—532no—
1194C2×C42—534no—
1195C2×C42—534no—
1196C2×C42—534no—
1197C2×C42—534no—
1198C2×C42C22×D5311yescharacteristic
1199C2×C42C22×D5312yes—
1200C2×C42C22×D5314yes—
1201C24—531no—
1202C24—534no—
1203#41—28no—
1204#41—10616no—
1205#41—10616no—
1206#41—1068no—
1207#41—1068no—
1208#41—1068no—
1209C2×Q8—24no—
1210C2×Q8—534no—
1211C2×Q8—534no—
1212C2×Q8—532no—
1213C2×Q8—534no—
1214C2×Q8—534no—
1215C2×Q8—538no—
1216C2×Q8—534no—
1217C2×Q8—1068no—
1218C2×Q8—10616no—
1219C2×Q8—10616no—
1220C2×Q8—1068no—
1221C2×Q8—1064no—
1222C2×Q8C23×D5314yes—
1223C2×Q8C23×D5312yes—
1224C2×Q8C23×D5314yes—
1225C2×D4—534no—
1226C2×D4—534no—
1227C2×D4—534no—
1228C2×D4—538no—
1229C2×D4—534no—
1230C2×D4—532no—
1231C2×D4—534no—
1232C2×D4—1068no—
1233C2×D4—10616no—
1234C2×D4C23×D5314yes—
1235C2×D4C23×D5312yes—
1236C2×D4C23×D5314yes—
1237C22×C4—531no—
1238C22×C4—538no—
1239C22×C4—532no—
1240C22×C4—532no—
1241C22×C4—532no—
1242C22×C4—534no—
1243C22×C4—531no—
1244C22×C4—531no—
1245C22×C4—532no—
1246C22×C4—534no—
1247C22×C4—534no—
1248C22×C4—534no—
1249C22×C4—538no—
1250C22×C4—534no—
1251C22×C4—534no—
1252C22×C4—534no—
1253C22×C4—534no—
1254C22×C4—534no—
1255C22×C4—534no—
1256C22×C4—534no—
1257C22×C4—534no—
1258C22×C4—10616no—
1259C22×C4—1068no—
1260C22×C4C23×D5312yes—
1261C22×C4C23×D5314yes—
1262C22×C4C23×D5311yescharacteristic
1263C22×C4C23×D5312yes—
1264C22×C4C23×D5311yescharacteristic
1265C22×C4C23×D5314yes—
1266C22×C4C23×D5314yes—
1267C22×C4C23×D5311yescharacteristic
1268C4⋊C4—532no—
1269C4⋊C4—531no—
1270C4⋊C4—531no—
1271C4⋊C4—534no—
1272C4⋊C4—534no—
1273C4⋊C4—532no—
1274C4⋊C4—531no—
1275C4⋊C4—531no—
1276C4⋊C4—532no—
1277C4⋊C4—532no—
1278C4⋊C4—534no—
1279C4⋊C4—534no—
1280C4⋊C4—534no—
1281C4⋊C4—534no—
1282C4⋊C4—534no—
1283C4⋊C4—534no—
1284C4⋊C4—534no—
1285C4⋊C4—538no—
1286C4⋊C4—534no—
1287C4⋊C4—534no—
1288C4⋊C4—534no—
1289C4⋊C4—534no—
1290C4⋊C4—538no—
1291C4⋊C4—538no—
1292C4⋊C4—538no—
1293C4⋊C4—538no—
1294C4⋊C4—538no—
1295C4⋊C4—538no—
1296C4⋊C4—538no—
1297C4⋊C4—538no—
1298C4⋊C4—538no—
1299C4⋊C4—538no—
1300C4⋊C4—534no—
1301C4⋊C4—538no—
1302C4⋊C4—534no—
1303C4⋊C4C23×D5312yes—
1304C4⋊C4C23×D5312yes—
1305C4⋊C4C23×D5314yes—
1306C4⋊C4C23×D5314yes—
1307C4⋊C4C23×D5318yes—
1308C4⋊C4C23×D5318yes—
1309C4⋊C4C23×D5314yes—
1310C4⋊C4C23×D5318yes—
1311C4⋊C4C23×D5318yes—
1312C4⋊C4C23×D5314yes—
1313C4⋊C4C23×D5314yes—
1314C22⋊C4—534no—
1315C22⋊C4—534no—
1316C22⋊C4—534no—
1317C22⋊C4—538no—
1318C22⋊C4—538no—
1319C22⋊C4—538no—
1320C22⋊C4—532no—
1321C22⋊C4—532no—
1322C22⋊C4—532no—
1323C22⋊C4—532no—
1324C22⋊C4—534no—
1325C22⋊C4—534no—
1326C22⋊C4—538no—
1327C22⋊C4—534no—
1328C22⋊C4—534no—
1329C22⋊C4—534no—
1330C22⋊C4—534no—
1331C22⋊C4—538no—
1332C22⋊C4—538no—
1333C22⋊C4—538no—
1334C22⋊C4—538no—
1335C22⋊C4—538no—
1336C22⋊C4—538no—
1337C22⋊C4C23×D5314yes—
1338C22⋊C4C23×D5314yes—
1339C22⋊C4C23×D5314yes—
1340C22⋊C4C23×D5318yes—
1341C22⋊C4C23×D5318yes—
1342C22⋊C4C23×D5318yes—
1343C42—532no—
1344C42—532no—
1345C42—534no—
1346C42—534no—
1347C42—534no—
1348C42—534no—
1349C42—534no—
1350C42—534no—
1351C42—534no—
1352C42—538no—
1353C42—534no—
1354C42—534no—
1355C42—538no—
1356C42—534no—
1357C42—534no—
1358C42—534no—
1359C42—534no—
1360C42C23×D5312yes—
1361C42C23×D5314yes—
1362C42C23×D5312yes—
1363C42C23×D5314yes—
1364C42C23×D5314yes—
1365C42C23×D5314yes—
1366C42C23×D5314yes—
1367C23—532no—
1368C23—534no—
1369C23—534no—
1370C23—1068no—
1371C23—2124no—
1372C23—2124no—
1373C23—2121no—
1374C23—2121no—
1375C23C24×D5314yes—
1376C23C24×D5311yescharacteristic
1377Q8—28no—
1378Q8—24no—
1379Q8—44no—
1380Q8—1068no—
1381Q8—1068no—
1382Q8—1068no—
1383Q8—1068no—
1384Q8—1064no—
1385Q8—2128no—
1386Q8—2124no—
1387D4—28no—
1388D4—24no—
1389D4—44no—
1390D4—1068no—
1391D4—1068no—
1392D4—1068no—
1393D4—1068no—
1394D4—1064no—
1395D4—2124no—
1396D4—2128no—
1397C2×C4—24no—
1398C2×C4—28no—
1399C2×C4—41no—
1400C2×C4—44no—
1401C2×C4—41no—
1402C2×C4—44no—
1403C2×C4—42no—
1404C2×C4—534no—
1405C2×C4—531no—
1406C2×C4—531no—
1407C2×C4—538no—
1408C2×C4—538no—
1409C2×C4—531no—
1410C2×C4—531no—
1411C2×C4—532no—
1412C2×C4—534no—
1413C2×C4—534no—
1414C2×C4—534no—
1415C2×C4—534no—
1416C2×C4—534no—
1417C2×C4—1068no—
1418C2×C4—1068no—
1419C2×C4—10616no—
1420C2×C4—1068no—
1421C2×C4—1064no—
1422C2×C4—1068no—
1423C2×C4—2124no—
1424C2×C4—2124no—
1425C2×C4—2124no—
1426C2×C4—2124no—
1427C2×C4—2124no—
1428C2×C4—2124no—
1429C2×C4—2121no—
1430C2×C4—2124no—
1431C2×C4—2122no—
1432C2×C4—2121no—
1433C2×C4—2124no—
1434C2×C4#41×D5314yes—
1435C2×C4C24×D5312yes—
1436C2×C4C24×D5311yescharacteristic
1437C2×C4C24×D5314yes—
1438C2×C4C24×D5314yes—
1439C2×C4C24×D5314yes—
1440C2×C4C24×D5314yes—
1441C2×C4C24×D5314yes—
1442C2×C4C24×D5311yescharacteristic
1443C2×C4C24×D5312yes—
1444C22—21no—
1445C22—21no—
1446C22—24no—
1447C22—24no—
1448C22—24no—
1449C22—534no—
1450C22—1062no—
1451C22—1062no—
1452C22—1064no—
1453C22—1064no—
1454C22—1064no—
1455C22—4248no—
1456C22—2124no—
1457C22C2×#41×D5312yes—
1458C22C25×D5311yescharacteristic
1459C4—24no—
1460C4—24no—
1461C4—21no—
1462C4—21no—
1463C4—24no—
1464C4—22no—
1465C4—24no—
1466C4—24no—
1467C4—532no—
1468C4—532no—
1469C4—1064no—
1470C4—1064no—
1471C4—1061no—
1472C4—1061no—
1473C4—1064no—
1474C4—1064no—
1475C4—1062no—
1476C4—1064no—
1477C4C2×#41×D5314yes—
1478C2—22no—
1479C2—44no—
1480C2—1064no—
1481C2—2124no—
1482C2C22×#41×D5311yescharacteristic
1483C2#2028952711yescharacteristic
1484C2#2028952811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3461C2
prime radical#20288043C2
hypercenter#3461D53
hypocenterC53#62860
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3461

Complements

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

NH ≅ G/Ntype
1. #20288607C2semidirect
2. #20288604C2semidirect
3. #20288597C2semidirect
4. #20288594C2semidirect
5. #20288575C2semidirect
6. #20288571C2semidirect
7. #20288465C2semidirect
8. #20288462C2semidirect
9. #20288459C2semidirect
10. #20288455C2semidirect
11. #20288409C2semidirect
12. #20288407C2semidirect
13. #20288149C2semidirect
14. #20288148C2semidirect
15. #20288143C2semidirect
16. #20288142C2semidirect
17. #20288139C2semidirect
18. #20288119C2semidirect
20. #536×D53C2semidirect
21. #20287914C2semidirect
22. C2×#16811099C2semidirect
23. C53×#3461C2semidirect
26. #16811357C22semidirect
27. #16811356C22semidirect
28. #16811355C22semidirect
29. #16811350C22semidirect
30. #16811350C22semidirect
31. #16811349C22semidirect
32. #16811345C22semidirect
33. #16811344C22semidirect
34. #16811342C22semidirect
35. #16811341C22semidirect
36. #16811340C22semidirect
37. #16811340C22semidirect
38. #16811340C22semidirect
39. #16811332C22semidirect
40. #16811329C22semidirect
41. #16811327C22semidirect
42. #16811314C22semidirect
43. #16811312C22semidirect
44. #16811311C22semidirect
45. #16811310C22semidirect
46. #16811309C22semidirect
47. #16811309C22semidirect
48. #16811309C22semidirect
49. #16811307C22semidirect
50. #16811306C22semidirect
51. #16811305C22semidirect
52. #16811305C22semidirect
53. #16811305C22semidirect
54. #16811303C22semidirect
55. #16811302C22semidirect
56. #16811301C22semidirect
57. #16811300C22semidirect
58. #16811298C22semidirect
59. #16811298C22semidirect
60. #16811297C22semidirect
61. #16811296C22semidirect
62. #16811254C22semidirect
63. #16811253C22semidirect
64. #16811251C22semidirect
65. #16811250C22semidirect
67. #16811247C22semidirect
68. #16811246C22semidirect
69. #16811245C22semidirect
70. #16811244C22semidirect
71. #16811242C22semidirect
72. #16811240C22semidirect
73. #16811238C22semidirect
74. #16811236C22semidirect
75. #16811235C22semidirect
76. #16811234C22semidirect
77. #16811233C22semidirect
78. #16811233C22semidirect
79. #16811231C22semidirect
80. #16811231C22semidirect
81. #16811222C22semidirect
82. #16811220C22semidirect
83. #16811218C22semidirect
84. #16811217C22semidirect
85. #16811215C22semidirect
88. #16811199C22semidirect
90. #16811197C22semidirect
94. #16811195C22semidirect
95. #16811194C22semidirect
99. #16811180C22semidirect
100. #16811179C22semidirect
101. #16811178C22semidirect
102. #16811178C22semidirect
103. #16811178C22semidirect
104. #16811177C22semidirect
105. #16811177C22semidirect
106. #16811175C22semidirect
107. #16811175C22semidirect
108. #16811175C22semidirect
110. C4⋊Q8×D53C22semidirect
111. #16811160C22semidirect
112. #16811159C22semidirect
113. #16811159C22semidirect
114. #16811158C22semidirect
115. #16811157C22semidirect
116. #16811157C22semidirect
117. #16811155C22semidirect
118. #16811154C22semidirect
119. #16811154C22semidirect
120. #16811153C22semidirect
121. #16811152C22semidirect
122. #16811150C22semidirect
123. #124×D53C22semidirect
127. C22⋊Q8×D53C22semidirect
128. C22⋊Q8×D53C22semidirect
133. #16811102C22semidirect
134. #16811102C22semidirect
135. #16811099C22semidirect
136. #16811099C22semidirect
137. #16811099C22semidirect
138. #16811099C22semidirect
139. #16811099C22semidirect
140. #16811099C22semidirect
143. #16811095C22semidirect
144. #16811095C22semidirect
145. #41×Dic53C22semidirect
147. C4×#11719945C22semidirect
149. #16811091C22semidirect
150. C2×Q8×Dic53C22semidirect
151. C2×C4×Dic106C22semidirect
152. C2×C4×Dic106C22semidirect
153. C2×#13133182C22semidirect
154. C2×#13133182C22semidirect
159. C2×#13133174C22semidirect
161. #117×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
753. #3461D53semidirect
808. #544C2×D53semidirect
817. #542C2×D53semidirect
825. #541C2×D53semidirect
831. #539C2×D53semidirect
844. #536C2×D53semidirect
857. #533C2×D53semidirect
872. #529C2×D53semidirect
873. #529C2×D53semidirect
901. C4×#41C2×D53semidirect
907. C2×C4×Q8C2×D53semidirect
915. C53#62860semidirect

Maximal subgroups

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

subgroupindex
#202886072
#202886042
#202885972
#202885942
#202885752
#202885712
#202884652
#202884622
#202884592
#202884552
#202884092
#202884072
#202881492
#202881482
#202881432
#202881422
#202881392
#202881192
#202880432
#536×D532
#202879142
C2×#168110992
C53×#34612
#6286053