Finite Group Databasebeta

← #28292679

Subgroups — #28292679

Order 13568.

7210 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288639C211yesmaximal, characteristic, complemented
2#20288637C211yesmaximal, characteristic, complemented
3#20288635C211yesmaximal, characteristic, complemented
4#20288624C212yesmaximal, complemented
5#20288618C212yesmaximal, complemented
6#20288604C214yesmaximal, complemented
7#20288597C212yesmaximal, complemented
8#20288587C212yesmaximal, complemented
9#20288574C214yesmaximal, complemented
10#20288561C214yesmaximal, complemented
11#20288548C218yesmaximal, complemented
12#20288309C218yesmaximal, complemented
13#20288274C214yesmaximal, complemented
14#20288268C214yesmaximal, complemented
15#20288106C212yesmaximal, complemented
16#20288099C212yesmaximal, complemented
17#20288043C212yesmaximal, complemented
18#20288009C214yesmaximal, complemented
19C2×#16811179C211yesmaximal, characteristic, complemented
20#532×D53C211yesmaximal, characteristic, complemented
21#20287915C212yesmaximal, complemented
22C4×#41×D53C211yesmaximal, characteristic, complemented
23C53×#3512C211yesmaximal, characteristic, complemented
24C2×#41×D53C2211yescharacteristic
25C2×#41×D53C2212yes—
26#16811357C2218yescomplemented
27#16811357C2218yescomplemented
28#16811356C2218yescomplemented
29#16811350C2218yescomplemented
30#16811344C2214yescomplemented
31#16811341C2214yescomplemented
32#16811341C2218yescomplemented
33#16811340C2218yescomplemented
34#16811340C2218yescomplemented
35#16811337C2214yescomplemented
36#16811336C2214yescomplemented
37#16811331C2214yescomplemented
38#16811328C2214yescomplemented
39#16811326C2214yescomplemented
40#16811323C2214yescomplemented
41#16811322C2218yescomplemented
42#16811322C2218yescomplemented
43#16811321C2218yescomplemented
44#16811319C2214yescomplemented
45#16811316C2218yescomplemented
46#16811316C2218yescomplemented
47#16811314C2214yescomplemented
48#16811313C2214yescomplemented
49#16811311C2214yescomplemented
50#16811309C2218yescomplemented
51#16811305C2218yescomplemented
52#16811302C2218yescomplemented
53#16811301C2218yescomplemented
54#16811298C2218yescomplemented
55#16811297C2218yescomplemented
56#16811291C2218yescomplemented
57#16811282C2218yescomplemented
58#16811279C2218yescomplemented
59#16811274C2214yescomplemented
60#16811273C2214yescomplemented
61#16811265C2218yescomplemented
62#16811262C2218yescomplemented
63#16811246C2214yescomplemented
64#16811245C2214yescomplemented
65#16811240C2214yescomplemented
66#16811238C2214yescomplemented
67#16811236C2212yescomplemented
68#16811235C2212yescomplemented
69#16811234C2212yescomplemented
70#16811229C2212yescomplemented
71#16811228C2212yescomplemented
72#16811227C2212yescomplemented
73#16811221C2218yescomplemented
74#16811216C2218yescomplemented
75#16811212C2218yescomplemented
76#16811205C2218yescomplemented
77#16811204C2212yescomplemented
78#16811201C2212yescomplemented
79#16811201C2212yescomplemented
80#16811196C2214yes—
81#16811196C2214yescomplemented
82#16811189C2214yes—
83#16811189C2214yescomplemented
84#16811181C2218yes—
85#16811179C2212yescomplemented
86#16811179C2214yescomplemented
87#16811179C2214yescomplemented
88#16811179C2212yescomplemented
89#16811179C2212yescomplemented
90#16811179C2212yescomplemented
91#16811177C2214yescomplemented
92#16811175C2214yescomplemented
93#16811174C2211yescharacteristic
94#16811173C2211yescharacteristic, complemented
95#16811172C2212yes—
96#16811171C2211yescharacteristic
97#16811170C2214yes—
98#16811170C2214yescomplemented
99#16811169C2212yescomplemented
100#16811168C2214yescomplemented
101#16811168C2218yescomplemented
102#16811168C2214yescomplemented
103C2×#13133216C2212yescomplemented
104C4⋊Q8×D53C2211yescharacteristic, complemented
105#127×D53C2211yescharacteristic, complemented
106#16811158C2214yescomplemented
107#16811158C2218yescomplemented
108#16811157C2214yescomplemented
109#16811156C2218yescomplemented
110#16811156C2218yescomplemented
111#16811156C2218yescomplemented
112#16811154C2218yescomplemented
113#16811152C2214yescomplemented
114#16811151C2218yescomplemented
115#16811150C2218yescomplemented
116#16811150C2218yescomplemented
117C2×#13133209C2211yescharacteristic, complemented
118#124×D53C2212yescomplemented
119#16811136C2214yes—
120#16811136C2214yescomplemented
121#16811133C2214yes—
122#16811133C2214yescomplemented
123#16811132C2218yescomplemented
124#16811131C2218yescomplemented
125C2×#13133195C2214yes—
126#121×D53C2214yes—
127#16811106C2212yescomplemented
128#16811104C2214yescomplemented
129#16811104C2212yescomplemented
130#16811103C2214yescomplemented
131#16811103C2212yescomplemented
132#16811099C2214yescomplemented
133#16811095C2218yes—
134#16811095C2214yescomplemented
135#41×Dic53C2211yescharacteristic, complemented
136C4×#11719949C2212yes—
137C4×#11719949C2214yescomplemented
138C4×#11719945C2212yes—
139C4×#11719945C2211yescharacteristic, complemented
140#16811091C2212yes—
141#16811091C2218yescomplemented
142#16811091C2211yescharacteristic, complemented
143C4×#11719947C2212yes—
144C4×#11719947C2218yescomplemented
145C4×#11719947C2214yescomplemented
146C4×#11719947C2214yescomplemented
147C4×#11719947C2218yescomplemented
148C2×#13133182C2214yescomplemented
149C4×Q8×D53C2212yescomplemented
150C4×D4×D53C2214yes—
151C4×D4×D53C2214yescomplemented
152C4×D4×D53C2212yescomplemented
153C2×#13133175C2212yes—
154C2×#13133175C2214yescomplemented
155#117×D53C2211yescharacteristic
156#117×D53C2214yescomplemented
157#117×D53C2212yescomplemented
158C2×C42×D53C2211yescharacteristic
159C2×C42×D53C2212yescomplemented
160C53×#553C2214yescomplemented
161C53×#553C2218yescomplemented
162C53×#552C2214yescomplemented
163C53×#541C2212yescomplemented
164C53×#540C2212yescomplemented
165C53×#537C2212yescomplemented
166C53×#532C2211yescharacteristic, complemented
167C53×#529C2214yescomplemented
168C2×#125×C53C2211yescharacteristic, complemented
169C53×#520C2212yescomplemented
170C4×#41×C53C2211yescharacteristic, complemented
171C2×#11719949C2311yescharacteristic
172C2×#11719949C2312yes—
173C2×#11719945C2312yes—
174C2×#11719945C2311yescharacteristic
175C2×#11719945C2312yes—
176C2×#11719945C2314yes—
177C2×#11719945C2318yes—
178C2×#11719947C2311yescharacteristic
179C2×#11719947C2312yes—
180C2×#11719947C2312yes—
181C2×#11719947C2314yes—
182C2×#11719947C2318yes—
183#41×D53—28no—
184#41×D53—216no—
185C22×Dic106C2314yes—
186C2×Q8×D53C2311yescharacteristic
187C2×Q8×D53C2312yes—
188C2×D4×D53C2312yes—
189C2×D4×D53C2311yescharacteristic
190C2×D4×D53C2314yes—
191C2×D4×D53C2312yes—
192C2×D4×D53C2314yes—
193C22×C4×D53C2312yes—
194C22×C4×D53C2314yes—
195C22×C4×D53C2312yes—
196C22×C4×D53C2314yes—
197C22×C4×D53C2311yescharacteristic
198#13133217C2311yescharacteristic
199#13133216C2314yes—
200#13133216C2314yes—
201#13133216C2314yes—
202#13133216C2318yes—
203#13133216C2314yes—
204#13133216C2314yes—
205#13133215C2312yes—
206#13133214C2311yescharacteristic
207#13133213C2318yes—
208#13133213C2314yes—
209#13133213C2312yes—
210#13133212C2318yes—
211#13133212C2318yes—
212#13133212C2318yes—
213#13133212C2318yes—
214#13133211C2318yes—
215#13133211C2318yes—
216#13133210C2318yes—
217#13133210C2318yes—
218#13133210C2318yes—
219#13133210C2318yes—
220#13133209C2314yes—
221#13133209C2312yes—
222#13133209C2312yes—
223#13133208C2318yes—
224#13133207C2318yes—
225#13133207C2318yes—
226#13133207C2318yes—
227#13133207C2318yes—
228#13133206C2312yes—
229#13133205C2318yes—
230#13133205C2312yes—
231#13133204C2318yes—
232#13133204C2312yes—
233#13133203C2318yes—
234#13133203C2318yes—
235#13133203C2318yes—
236#13133203C2318yes—
237#13133203C2314yes—
238#13133203C2318yes—
239#13133203C2318yes—
240#13133203C2314yes—
241#13133202C2318yes—
242#13133202C2318yes—
243#13133202C2318yes—
244#13133202C2318yes—
245#13133202C2318yes—
246#13133202C2318yes—
247#13133200C2318yes—
248#13133200C2318yes—
249#13133199C2318yes—
250#13133199C2318yes—
251#13133199C2318yes—
252#13133199C2318yes—
253#13133198C2318yes—
254#13133198C2318yes—
255#13133197C2318yes—
256#13133197C2314yes—
257#13133197C2314yes—
258#13133196C2318yes—
259#13133196C2314yes—
260#13133196C2314yes—
261#13133195C2318yes—
262#13133195C2318yes—
263#13133195C2318yes—
264#13133195C2318yes—
265#13133195C2318yes—
266#13133195C2318yes—
267#13133194C2318yes—
268#13133194C2318yes—
269#13133193C2314yes—
270#13133193C2314yes—
271#13133192C2318yes—
272#13133192C2314yes—
273#13133192C2314yes—
274#13133192C2314yes—
275#13133191C2314yes—
276#13133191C2318yes—
277#13133191C2314yes—
278#13133191C2314yes—
279#13133190C2318yes—
280#13133190C2318yes—
281#13133190C2314yes—
282#13133190C2314yes—
283#13133189C2318yes—
284#13133189C2314yes—
285#13133189C2318yes—
286#13133189C2314yes—
287#13133189C2318yes—
288#13133189C2318yes—
289#13133188C2314yes—
290#13133188C2314yes—
291#13133188C2314yes—
292#13133187C2318yes—
293#13133187C2318yes—
294#13133185C2318yes—
295#13133185C2318yes—
296Q8×Dic53C2312yes—
297Q8×Dic53C2314yes—
298C4×Dic106C2318yes—
299C4×Dic106C2312yes—
300C4×Dic106C2314yes—
301C4×Dic106C2318yes—
302C4×Dic106C2314yes—
303#13133182C2318yes—
304#13133182C2318yes—
305#13133182C2312yes—
306#13133182C2318yes—
307#13133182C2318yes—
308#13133182C2314yes—
309#13133182C2318yes—
310#13133182C2318yes—
311#13133182C2314yes—
312C4×D212C2314yes—
313C4×D212C2314yes—
314C4×D212C2312yes—
315C4×D212C2318yes—
316C4×D212C2314yes—
317D4×Dic53C2312yes—
318D4×Dic53C2314yes—
319D4×Dic53C2318yes—
320D4×Dic53C2314yes—
321D4×Dic53C2314yes—
322D4×Dic53C2318yes—
323#13133179C2314yes—
324#13133179C2312yes—
325#13133179C2318yes—
326#13133179C2314yes—
327#13133179C2318yes—
328#13133179C2318yes—
329#13133179C2314yes—
330C4×C22⋊D53C2314yes—
331C4×C22⋊D53C2314yes—
332C4×C22⋊D53C2318yes—
333C4×C22⋊D53C2318yes—
334C4×C22⋊D53C2314yes—
335C4×C22⋊D53C2318yes—
336C4×C22⋊D53C2314yes—
337C4×C22⋊D53C2318yes—
338C4×C22⋊D53C2314yes—
339C4×C22⋊D53C2318yes—
340#13133177C2318yes—
341#13133177C2314yes—
342#13133177C2318yes—
343#13133177C2314yes—
344#13133177C2318yes—
345#13133177C2318yes—
346#13133177C2314yes—
347#13133177C2314yes—
348#13133177C2314yes—
349#13133177C2318yes—
350#13133177C2318yes—
351#13133177C2318yes—
352#13133176C2314yes—
353#13133176C2311yescharacteristic
354#13133176C2312yes—
355#13133175C2318yes—
356#13133175C2318yes—
357#13133175C2314yes—
358#13133175C2314yes—
359#13133175C2312yes—
360#13133175C2314yes—
361#13133175C2314yes—
362#13133175C2314yes—
363#13133175C2314yes—
364#13133175C2314yes—
365#13133175C2318yes—
366#13133174C2318yes—
367#13133174C2318yes—
368#13133174C2318yes—
369#13133174C2312yes—
370#13133174C2312yes—
371#13133174C2312yes—
372#13133173C2318yes—
373#13133173C2318yes—
374#13133173C2312yes—
375#13133173C2314yes—
376#13133173C2318yes—
377C2×C4⋊Dic53C2314yes—
378C2×C4⋊Dic53C2312yes—
379C2×#11719919C2314yes—
380C2×#11719919C2314yes—
381C4⋊C4×D53C2314yes—
382C4⋊C4×D53C2314yes—
383C4⋊C4×D53C2314yes—
384C4⋊C4×D53C2312yes—
385C4⋊C4×D53C2314yes—
386C2×#11719921C2318yes—
387C2×#11719921C2314yes—
388C22⋊C4×D53C2318yes—
389C22⋊C4×D53C2314yes—
390C22⋊C4×D53C2314yes—
391C22⋊C4×D53C2312yes—
392C22⋊C4×D53C2314yes—
393C2×C4×Dic53C2312yes—
394C2×C4×Dic53C2311yescharacteristic
395C2×C4×Dic53C2314yes—
396C2×C4×Dic53C2312yes—
397C2×C4×Dic53C2314yes—
398C2×C4×Dic53C2318yes—
399C42×D53C2311yescharacteristic
400C42×D53C2311yescharacteristic
401C42×D53C2312yes—
402C42×D53C2312yes—
403C42×D53C2311yescharacteristic
404C42×D53C2311yescharacteristic
405C42×D53C2312yes—
406C42×D53C2314yes—
407C42×D53C2314yes—
408C42×D53C2312yes—
409C42×D53C2312yes—
410C42×D53C2318yes—
411C2×#41×C53C2311yescharacteristic
412C2×#41×C53C2312yes—
413C4⋊Q8×C53C2311yescharacteristic
414#127×C53C2311yescharacteristic
415#126×C53C2318yes—
416#126×C53C2318yes—
417#125×C53C2318yes—
418#125×C53C2312yes—
419#125×C53C2314yes—
420#125×C53C2312yes—
421#124×C53C2312yes—
422#123×C53C2318yes—
423#123×C53C2318yes—
424C22⋊Q8×C53C2314yes—
425C22⋊Q8×C53C2314yes—
426#121×C53C2314yes—
427#121×C53C2318yes—
428#121×C53C2318yes—
429#121×C53C2314yes—
430#121×C53C2314yes—
431C4×Q8×C53C2312yes—
432C4×Q8×C53C2314yes—
433C4×D4×C53C2318yes—
434C4×D4×C53C2314yes—
435C4×D4×C53C2312yes—
436C4×D4×C53C2314yes—
437C4×D4×C53C2318yes—
438C4×D4×C53C2314yes—
439#117×C53C2311yescharacteristic
440#117×C53C2312yes—
441#117×C53C2318yes—
442#117×C53C2314yes—
443C2×C4⋊C4×C53C2314yes—
444C2×C4⋊C4×C53C2312yes—
445C2×C4⋊C4×C53C2314yes—
446C2×C42×C53C2311yescharacteristic
447C2×C42×C53C2312yes—
448C23×D53C2414yes—
449C23×D53C2412yes—
450C23×D53C2411yescharacteristic
451#41×C53—24no—
452#41×C53—28no—
453C2×Q8×C53C2411yescharacteristic
454C2×Q8×C53C2412yes—
455C2×D4×C53C2411yescharacteristic
456C2×D4×C53C2414yes—
457C2×D4×C53C2412yes—
458C2×D4×C53C2412yes—
459C2×D4×C53C2418yes—
460C2×D4×C53C2414yes—
461C22×C4×C53C2412yes—
462C22×C4×C53C2414yes—
463C22×C4×C53C2412yes—
464C22×C4×C53C2414yes—
465C22×C4×C53C2414yes—
466C22×C4×C53C2418yes—
467C22×C4×C53C2411yescharacteristic
468C2×C22⋊D53C2414yes—
469C2×C22⋊D53C2412yes—
470C2×C22⋊D53C2414yes—
471C2×C22⋊D53C2412yes—
472C2×C22⋊D53C2414yes—
473C2×C22⋊D53C2412yes—
474C2×C22⋊D53C2414yes—
475C2×C22⋊D53C2414yes—
476C2×C22⋊D53C2418yes—
477C2×C22⋊D53C2418yes—
478C22×Dic53C2412yes—
479C22×Dic53C2412yes—
480C22×Dic53C2414yes—
481C22×Dic53C2414yes—
482C22×Dic53C2414yes—
483C22×Dic53C2418yes—
484C22×Dic53C2411yescharacteristic
485#11719949—24no—
486#11719949—28no—
487Q8×D53—24no—
488Q8×D53—28no—
489#11719947—28no—
490#11719947—216no—
491#11719947—24no—
492#11719947—28no—
493#11719947—416no—
494D4×D53—28no—
495D4×D53—216no—
496D4×D53—24no—
497D4×D53—28no—
498D4×D53—48no—
499#11719945—24no—
500#11719945—28no—
501#11719945—216no—
502#11719945—28no—
503#11719945—416no—
504C2×D212C2412yes—
505C2×D212C2414yes—
506C2×D212C2411yescharacteristic
507C2×D212C2412yes—
508C2×D212C2418yes—
509C2×D212C2414yes—
510C2×C4×D53—216no—
511C2×C4×D53—28no—
512C2×C4×D53—48no—
513C2×C4×D53—44no—
514C2×C4×D53#4118yescomplemented
515C2×C4×D53C2412yes—
516C2×C4×D53C2412yes—
517C2×C4×D53C2412yes—
518C2×C4×D53C2414yes—
519C2×C4×D53C2412yes—
520C2×C4×D53C2412yes—
521C2×C4×D53C2414yes—
522C2×C4×D53C2414yes—
523C2×C4×D53C2414yes—
524C2×C4×D53C2412yes—
525C2×C4×D53C2414yes—
526C2×C4×D53C2412yes—
527C2×C4×D53C2414yes—
528C2×C4×D53C2418yes—
529C2×C4×D53C2418yes—
530C2×C4×D53C2411yescharacteristic
531C2×C4×D53C2411yescharacteristic
532C2×C4×D53C2411yescharacteristic
533C2×C4×D53C2411yescharacteristic
534C2×Dic106—48no—
535C2×Dic106C2418yes—
536C2×Dic106C2411yescharacteristic
537C2×Dic106C2412yes—
538C2×Dic106C2414yes—
539C2×Dic106C2412yes—
540C2×Dic106C2418yes—
541C4⋊C4×C53C2412yes—
542C4⋊C4×C53C2414yes—
543C4⋊C4×C53C2418yes—
544C4⋊C4×C53C2414yes—
545C4⋊C4×C53C2418yes—
546C4⋊C4×C53C2418yes—
547C4⋊C4×C53C2414yes—
548C4⋊C4×C53C2418yes—
549C4⋊C4×C53C2414yes—
550C22⋊C4×C53C2414yes—
551C22⋊C4×C53C2412yes—
552C22⋊C4×C53C2414yes—
553C22⋊C4×C53C2418yes—
554C22⋊C4×C53C2418yes—
555C22⋊C4×C53C2414yes—
556C22⋊C4×C53C2418yes—
557C42×C53C2411yescharacteristic
558C42×C53C2412yes—
559C42×C53C2414yes—
560C42×C53C2411yescharacteristic
561C42×C53C2412yes—
562C42×C53C2418yes—
563C22⋊Dic53C2412yes—
564C22⋊Dic53C2418yes—
565C22⋊Dic53C2414yes—
566C22⋊Dic53C2414yes—
567C22⋊Dic53C2414yes—
568C22⋊Dic53C2418yes—
569C22⋊Dic53C2418yes—
570#11719921C2414yes—
571#11719921C2418yes—
572#11719921C2414yes—
573#11719921C2414yes—
574#11719921C2414yes—
575#11719921C2414yes—
576#11719921C2414yes—
577#11719921C2414yes—
578#11719921C2418yes—
579#11719921C2418yes—
580#11719921C2418yes—
581#11719921C2418yes—
582#11719921C2418yes—
583#11719921C2418yes—
584#11719921C2418yes—
585C4⋊Dic53C2412yes—
586C4⋊Dic53C2414yes—
587C4⋊Dic53C2414yes—
588C4⋊Dic53C2414yes—
589C4⋊Dic53C2414yes—
590C4⋊Dic53C2418yes—
591C4⋊Dic53C2418yes—
592#11719919C2414yes—
593#11719919C2414yes—
594#11719919C2418yes—
595#11719919C2414yes—
596#11719919C2414yes—
597#11719919C2418yes—
598#11719919C2414yes—
599#11719919C2418yes—
600#11719919C2418yes—
601#11719919C2418yes—
602#11719919C2418yes—
603#11719919C2418yes—
604#11719919C2418yes—
605C4×Dic53C2414yes—
606C4×Dic53C2412yes—
607C4×Dic53C2411yescharacteristic
608C4×Dic53C2414yes—
609C4×Dic53C2412yes—
610C4×Dic53C2412yes—
611C4×Dic53C2411yescharacteristic
612C4×Dic53C2414yes—
613C4×Dic53C2414yes—
614C4×Dic53C2412yes—
615C4×Dic53C2412yes—
616C4×Dic53C2412yes—
617C4×Dic53C2418yes—
618C4×Dic53C2418yes—
619C4×Dic53C2418yes—
620C4×Dic53C2418yes—
621C4×Dic53C2418yes—
622C23×C53C2512yes—
623C23×C53C2514yes—
624C23×C53C2511yescharacteristic
625C22×D53—24no—
626C22×D53—28no—
627C22×D53—42no—
628C22×D53—44no—
629C22×D53—44no—
630C22×D53—44no—
631C22×D53C2×#4114yes—
632C22×D53C2512yes—
633C22×D53C2514yes—
634C22×D53C2511yescharacteristic
635C22×D53C2511yescharacteristic
636Q8×C53—24no—
637Q8×C53—22no—
638D4×C53—24no—
639D4×C53—28no—
640D4×C53—24no—
641D4×C53—22no—
642D4×C53—44no—
643D4×C53—48no—
644C2×C4×C53—24no—
645C2×C4×C53—28no—
646C2×C4×C53—44no—
647C2×C4×C53—44no—
648C2×C4×C53—42no—
649C2×C4×C53—48no—
650C2×C4×C53C2×#4114yes—
651C2×C4×C53C2518yes—
652C2×C4×C53C2512yes—
653C2×C4×C53C2514yes—
654C2×C4×C53C2512yes—
655C2×C4×C53C2514yes—
656C2×C4×C53C2512yes—
657C2×C4×C53C2511yescharacteristic
658C2×C4×C53C2511yescharacteristic
659C22⋊D53—24no—
660C22⋊D53—28no—
661C22⋊D53—24no—
662C22⋊D53—28no—
663C22⋊D53—24no—
664C22⋊D53—28no—
665C22⋊D53—28no—
666C22⋊D53—28no—
667C22⋊D53—48no—
668C22⋊D53—48no—
669C2×Dic53—24no—
670C2×Dic53—28no—
671C2×Dic53—24no—
672C2×Dic53—28no—
673C2×Dic53—44no—
674C2×Dic53—48no—
675C2×Dic53C2×#4114yes—
676C2×Dic53C2512yes—
677C2×Dic53C2512yes—
678C2×Dic53C2514yes—
679C2×Dic53C2518yes—
680C2×Dic53C2514yes—
681C2×Dic53C2511yescharacteristic
682C2×Dic53C2511yescharacteristic
683C2×Dic53C2512yes—
684D212—24no—
685D212—28no—
686D212—24no—
687D212—22no—
688D212—48no—
689D212—44no—
690C4×D53—28no—
691C4×D53—24no—
692C4×D53—24no—
693C4×D53—28no—
694C4×D53—24no—
695C4×D53—28no—
696C4×D53—24no—
697C4×D53—28no—
698C4×D53—24no—
699C4×D53—42no—
700C4×D53—42no—
701C4×D53—44no—
702C4×D53—44no—
703C4×D53—48no—
704C4×D53—48no—
705C4×D53C2×#4114yes—
706C4×D53C2×#4114yes—
707C4×D53C2×#4114yes—
708C4×D53C2×#4114yes—
709Dic106—24no—
710Dic106—22no—
711Dic106—28no—
712Dic106—24no—
713Dic106—216no—
714Dic106—48no—
715#62815—531nomaximal, Sylow
716C22×C53—22no—
717C22×C53—22no—
718C22×C53—24no—
719C22×C53—24no—
720C22×C53—24no—
721C22×C53—24no—
722C22×C53C22×#4112yes—
723C22×C53C2611yescharacteristic
724C2×D53—22no—
725C2×D53—22no—
726C2×D53—22no—
727C2×D53—24no—
728C2×D53—24no—
729C2×D53—24no—
730C2×D53—24no—
731C2×D53—44no—
732C2×D53—48no—
733C2×D53—88no—
734C2×D53C22×#4112yes—
735C2×D53C22×#4112yes—
736C4×C53—24no—
737C4×C53—22no—
738C4×C53—28no—
739C4×C53—22no—
740C4×C53—24no—
741C4×C53—22no—
742C4×C53C22×#4112yes—
743C4×C53C22×#4112yes—
744Dic53—24no—
745Dic53—22no—
746Dic53—28no—
747Dic53—22no—
748Dic53—24no—
749Dic53C22×#4112yes—
750Dic53C22×#4112yes—
751Dic53#58514yes—
752#3512—531no—
753#3512—531no—
754#3512—531no—
755#3512D5311yescharacteristic, complemented
756#3511—532no—
757#3511—532no—
758#3510—534no—
759#3509—532no—
760#3508—532no—
761#3507—534no—
762#3506—534no—
763#3505—538no—
764#3480—538no—
765#3475—534no—
766#3475—534no—
767#3455—532no—
768#3455—532no—
769#3449—532no—
770#3444—534no—
771C2×#533—531no—
772C2×#532—531no—
773#3428—532no—
774C2×C4×#41—531no—
775C2×C53—22no—
776C2×C53—42no—
777C2×C53—44no—
778C2×C53C23×#4111yescharacteristic
779C2×C53C2×#58512yes—
780D53—22no—
781D53—22no—
782D53—42no—
783D53—44no—
784C22×#41—531no—
785C22×#41—532no—
786#559—538no—
787#559—538no—
788#559—538no—
789#557—538no—
790#556—538no—
791#556—538no—
792#556—534no—
793#556—534no—
794#556—538no—
795#555—534no—
796#555—534no—
797#554—534no—
798#554—534no—
799#553—534no—
800#553—538no—
801#553—538no—
802#553—534no—
803#553—538no—
804#553—538no—
805#553—534no—
806#553—538no—
807#553C2×D5314yescomplemented
808#553C2×D5318yescomplemented
809#552—538no—
810#552—538no—
811#552—534no—
812#552—534no—
813#552—534no—
814#552C2×D5314yescomplemented
815#551—538no—
816#551—538no—
817#551—538no—
818#551—538no—
819#550—538no—
820#548—538no—
821#548—538no—
822#547—534no—
823#547—534no—
824#546—538no—
825#546—538no—
826#542—534no—
827#542—534no—
828#542—534no—
829#542—534no—
830#541—532no—
831#541—532no—
832#541—532no—
833#541C2×D5312yescomplemented
834#540—532no—
835#540—532no—
836#540—532no—
837#540C2×D5312yescomplemented
838#539—538no—
839#539—538no—
840#538—538no—
841#538—538no—
842#537—532no—
843#537—532no—
844#537—532no—
845#537C2×D5312yescomplemented
846#536—534no—
847#536—534no—
848#535—534no—
849#535—534no—
850#534—538no—
851#533—532no—
852#533—532no—
853#533—534no—
854#533—534no—
855#533—532no—
856#533—532no—
857#533—534no—
858#533—534no—
859#532—532no—
860#532—531no—
861#532—531no—
862#532—532no—
863#532—534no—
864#532—534no—
865#532—538no—
866#532—534no—
867#532—534no—
868#532—531no—
869#532C2×D5311yescharacteristic, complemented
870C2×C4⋊Q8—531no—
871C2×C4⋊Q8—532no—
872C2×#127—531no—
873#529—538no—
874#529—538no—
875#529—538no—
876#529—534no—
877#529—538no—
878#529—534no—
879#529—538no—
880#529—538no—
881#529—538no—
882#529—538no—
883#529—534no—
884#529C2×D5314yescomplemented
885C2×#125—531no—
886C2×#125C2×D5311yescharacteristic, complemented
887C2×#124—532no—
888#525—538no—
889#525—534no—
890#525—534no—
891#525—534no—
892#525—534no—
893#525—538no—
894C2×C22⋊Q8—534no—
895C2×#121—534no—
896#520—532no—
897#520—534no—
898#520—532no—
899#520—534no—
900#520—532no—
901#520C2×D5312yescomplemented
902#519—534no—
903#518—538no—
904#518—534no—
905C4×#41—531no—
906C4×#41—532no—
907C4×#41—534no—
908C4×#41—532no—
909C4×#41—534no—
910C4×#41—534no—
911C4×#41—538no—
912C4×#41—538no—
913C4×#41—532no—
914C4×#41—531no—
915C4×#41—538no—
916C4×#41—532no—
917C4×#41—531no—
918C4×#41C2×D5311yescharacteristic, complemented
919C2×C4×Q8—532no—
920C2×C4×Q8—534no—
921C2×C4×D4—534no—
922C2×C4×D4—532no—
923C2×C4×D4—534no—
924C2×#117—531no—
925C2×#117—532no—
926C2×#117—534no—
927C2×#117—532no—
928C2×#117—534no—
929C22×C42—531no—
930C22×C42—532no—
931C53#6281511yescharacteristic, complemented, Sylow
932C2×#41—531no—
933C2×#41—532no—
934C2×#41—531no—
935C2×#41—532no—
936C2×#41—532no—
937C2×#41—534no—
938C2×#41—538no—
939C2×#41—532no—
940C2×#41—531no—
941C2×#41—534no—
942C2×#41—532no—
943C2×#41—538no—
944C2×#41—1068no—
945C2×#41—10616no—
946C2×#41C22×D5311yescharacteristic
947C2×#41C22×D5312yes—
948C22×Q8—531no—
949C22×Q8—532no—
950C22×Q8—534no—
951C22×D4—532no—
952C22×D4—531no—
953C22×D4—534no—
954C22×D4—532no—
955C22×D4—534no—
956C23×C4—531no—
957C23×C4—534no—
958C23×C4—532no—
959C23×C4—532no—
960C23×C4—534no—
961C4⋊Q8—532no—
962C4⋊Q8—534no—
963C4⋊Q8—534no—
964C4⋊Q8—534no—
965C4⋊Q8—534no—
966C4⋊Q8—534no—
967C4⋊Q8—538no—
968C4⋊Q8—531no—
969C4⋊Q8C22×D5311yescharacteristic
970#127—532no—
971#127—534no—
972#127—538no—
973#127—531no—
974#127C22×D5311yescharacteristic
975#126—538no—
976#126—538no—
977#126—538no—
978#126—538no—
979#126—538no—
980#126—538no—
981#126—538no—
982#126—538no—
983#126—538no—
984#126—538no—
985#126C22×D5318yes—
986#126C22×D5318yes—
987#125—538no—
988#125—538no—
989#125—538no—
990#125—538no—
991#125—538no—
992#125—532no—
993#125—532no—
994#125—534no—
995#125C22×D5312yes—
996#125C22×D5312yes—
997#125C22×D5314yes—
998#125C22×D5318yes—
999#124—532no—
1000#124—532no—
1001#124—538no—
1002#124—534no—
1003#124—534no—
1004#124—538no—
1005#124—538no—
1006#124—538no—
1007#124—538no—
1008#124—538no—
1009#124—538no—
1010#124—532no—
1011#124—538no—
1012#124C22×D5312yes—
1013#123—538no—
1014#123—538no—
1015#123—538no—
1016#123—538no—
1017#123—538no—
1018#123—538no—
1019#123—538no—
1020#123—538no—
1021#123—538no—
1022#123—538no—
1023#123—538no—
1024#123—538no—
1025#123—538no—
1026#123—538no—
1027#123C22×D5318yes—
1028#123C22×D5318yes—
1029C22⋊Q8—534no—
1030C22⋊Q8—534no—
1031C22⋊Q8—534no—
1032C22⋊Q8—534no—
1033C22⋊Q8—538no—
1034C22⋊Q8—538no—
1035C22⋊Q8—538no—
1036C22⋊Q8—538no—
1037C22⋊Q8—538no—
1038C22⋊Q8—534no—
1039C22⋊Q8—538no—
1040C22⋊Q8—534no—
1041C22⋊Q8—538no—
1042C22⋊Q8—538no—
1043C22⋊Q8—538no—
1044C22⋊Q8—538no—
1045C22⋊Q8C22×D5314yes—
1046C22⋊Q8C22×D5314yes—
1047#121—534no—
1048#121—534no—
1049#121—534no—
1050#121—534no—
1051#121—538no—
1052#121—534no—
1053#121—538no—
1054#121—538no—
1055#121—538no—
1056#121—534no—
1057#121—534no—
1058#121—534no—
1059#121—538no—
1060#121—534no—
1061#121—534no—
1062#121—534no—
1063#121—538no—
1064#121—534no—
1065#121—534no—
1066#121—538no—
1067#121—538no—
1068#121C22×D5314yes—
1069#121C22×D5314yes—
1070#121C22×D5314yes—
1071#121C22×D5318yes—
1072#121C22×D5318yes—
1073#120—538no—
1074#120—538no—
1075#120—538no—
1076#120—538no—
1077C4×Q8—532no—
1078C4×Q8—534no—
1079C4×Q8—538no—
1080C4×Q8—532no—
1081C4×Q8—534no—
1082C4×Q8—538no—
1083C4×Q8—538no—
1084C4×Q8—538no—
1085C4×Q8—534no—
1086C4×Q8—538no—
1087C4×Q8—538no—
1088C4×Q8—532no—
1089C4×Q8—534no—
1090C4×Q8—534no—
1091C4×Q8—538no—
1092C4×Q8—538no—
1093C4×Q8C22×D5312yes—
1094C4×Q8C22×D5314yes—
1095C4×D4—532no—
1096C4×D4—534no—
1097C4×D4—534no—
1098C4×D4—534no—
1099C4×D4—538no—
1100C4×D4—538no—
1101C4×D4—534no—
1102C4×D4—534no—
1103C4×D4—534no—
1104C4×D4—534no—
1105C4×D4—534no—
1106C4×D4—538no—
1107C4×D4—538no—
1108C4×D4—538no—
1109C4×D4—538no—
1110C4×D4—538no—
1111C4×D4—534no—
1112C4×D4—532no—
1113C4×D4—534no—
1114C4×D4—538no—
1115C4×D4—534no—
1116C4×D4—538no—
1117C4×D4—538no—
1118C4×D4—534no—
1119C4×D4—534no—
1120C4×D4—534no—
1121C4×D4—534no—
1122C4×D4—534no—
1123C4×D4—538no—
1124C4×D4—538no—
1125C4×D4—538no—
1126C4×D4—538no—
1127C4×D4—538no—
1128C4×D4—538no—
1129C4×D4—538no—
1130C4×D4—534no—
1131C4×D4—532no—
1132C4×D4—534no—
1133C4×D4—538no—
1134C4×D4—534no—
1135C4×D4C22×D5314yes—
1136C4×D4C22×D5312yes—
1137C4×D4C22×D5314yes—
1138C4×D4C22×D5314yes—
1139C4×D4C22×D5318yes—
1140C4×D4C22×D5318yes—
1141#117—531no—
1142#117—532no—
1143#117—534no—
1144#117—532no—
1145#117—534no—
1146#117—534no—
1147#117—534no—
1148#117—538no—
1149#117—534no—
1150#117—538no—
1151#117—534no—
1152#117—534no—
1153#117—534no—
1154#117—538no—
1155#117—532no—
1156#117—538no—
1157#117—534no—
1158#117—538no—
1159#117—538no—
1160#117—532no—
1161#117—532no—
1162#117—532no—
1163#117—538no—
1164#117—538no—
1165#117—538no—
1166#117C22×D5311yescharacteristic
1167#117C22×D5312yes—
1168#117C22×D5314yes—
1169#117C22×D5318yes—
1170C2×C4⋊C4—532no—
1171C2×C4⋊C4—534no—
1172C2×C4⋊C4—534no—
1173C2×C4⋊C4—534no—
1174C2×C4⋊C4—532no—
1175C2×C4⋊C4—534no—
1176C2×C4⋊C4—534no—
1177C2×C4⋊C4—534no—
1178C2×C4⋊C4—534no—
1179C2×C4⋊C4C22×D5312yes—
1180C2×C4⋊C4C22×D5314yes—
1181C2×C4⋊C4C22×D5314yes—
1182C2×C22⋊C4—534no—
1183C2×C22⋊C4—538no—
1184C2×C22⋊C4—532no—
1185C2×C22⋊C4—534no—
1186C2×C22⋊C4—538no—
1187C2×C22⋊C4—534no—
1188C2×C22⋊C4—534no—
1189C2×C42—534no—
1190C2×C42—538no—
1191C2×C42—532no—
1192C2×C42—534no—
1193C2×C42—531no—
1194C2×C42—532no—
1195C2×C42—532no—
1196C2×C42—531no—
1197C2×C42—538no—
1198C2×C42—532no—
1199C2×C42—534no—
1200C2×C42—532no—
1201C2×C42—534no—
1202C2×C42—531no—
1203C2×C42—532no—
1204C2×C42—531no—
1205C2×C42—532no—
1206C2×C42—531no—
1207C2×C42C22×D5311yescharacteristic
1208C2×C42C22×D5312yes—
1209C24—531no—
1210C24—534no—
1211C24—532no—
1212#41—24no—
1213#41—28no—
1214#41—1068no—
1215#41—10616no—
1216#41—1068no—
1217#41—10616no—
1218#41—1064no—
1219#41—1068no—
1220#41—1064no—
1221#41—1068no—
1222#41—1064no—
1223#41—1068no—
1224#41—21216no—
1225#41—21216no—
1226C2×Q8—531no—
1227C2×Q8—538no—
1228C2×Q8—532no—
1229C2×Q8—532no—
1230C2×Q8—534no—
1231C2×Q8—538no—
1232C2×Q8—1068no—
1233C2×Q8—1064no—
1234C2×Q8—2128no—
1235C2×Q8C23×D5311yescharacteristic
1236C2×Q8C23×D5312yes—
1237C2×D4—532no—
1238C2×D4—534no—
1239C2×D4—532no—
1240C2×D4—534no—
1241C2×D4—534no—
1242C2×D4—534no—
1243C2×D4—532no—
1244C2×D4—534no—
1245C2×D4—538no—
1246C2×D4—538no—
1247C2×D4—532no—
1248C2×D4—534no—
1249C2×D4—531no—
1250C2×D4—532no—
1251C2×D4—538no—
1252C2×D4—534no—
1253C2×D4—1068no—
1254C2×D4—1064no—
1255C2×D4—10616no—
1256C2×D4—1068no—
1257C2×D4—2128no—
1258C2×D4C23×D5312yes—
1259C2×D4C23×D5314yes—
1260C2×D4C23×D5311yescharacteristic
1261C2×D4C23×D5312yes—
1262C2×D4C23×D5318yes—
1263C2×D4C23×D5314yes—
1264C22×C4—531no—
1265C22×C4—538no—
1266C22×C4—531no—
1267C22×C4—531no—
1268C22×C4—531no—
1269C22×C4—531no—
1270C22×C4—532no—
1271C22×C4—534no—
1272C22×C4—532no—
1273C22×C4—534no—
1274C22×C4—534no—
1275C22×C4—538no—
1276C22×C4—532no—
1277C22×C4—532no—
1278C22×C4—532no—
1279C22×C4—534no—
1280C22×C4—532no—
1281C22×C4—534no—
1282C22×C4—532no—
1283C22×C4—534no—
1284C22×C4—534no—
1285C22×C4—532no—
1286C22×C4—534no—
1287C22×C4—532no—
1288C22×C4—534no—
1289C22×C4—538no—
1290C22×C4—538no—
1291C22×C4—10616no—
1292C22×C4—1068no—
1293C22×C4—2124no—
1294C22×C4—2128no—
1295C22×C4C23×D5312yes—
1296C22×C4C23×D5314yes—
1297C22×C4C23×D5312yes—
1298C22×C4C23×D5314yes—
1299C22×C4C23×D5314yes—
1300C22×C4C23×D5318yes—
1301C22×C4C23×D5311yescharacteristic
1302C4⋊C4—532no—
1303C4⋊C4—534no—
1304C4⋊C4—534no—
1305C4⋊C4—538no—
1306C4⋊C4—534no—
1307C4⋊C4—534no—
1308C4⋊C4—534no—
1309C4⋊C4—534no—
1310C4⋊C4—534no—
1311C4⋊C4—538no—
1312C4⋊C4—538no—
1313C4⋊C4—538no—
1314C4⋊C4—538no—
1315C4⋊C4—534no—
1316C4⋊C4—534no—
1317C4⋊C4—538no—
1318C4⋊C4—538no—
1319C4⋊C4—538no—
1320C4⋊C4—538no—
1321C4⋊C4—538no—
1322C4⋊C4C23×D5312yes—
1323C4⋊C4C23×D5314yes—
1324C4⋊C4C23×D5314yes—
1325C4⋊C4C23×D5314yes—
1326C4⋊C4C23×D5314yes—
1327C4⋊C4C23×D5318yes—
1328C4⋊C4C23×D5318yes—
1329C4⋊C4C23×D5318yes—
1330C4⋊C4C23×D5318yes—
1331C22⋊C4—532no—
1332C22⋊C4—538no—
1333C22⋊C4—534no—
1334C22⋊C4—534no—
1335C22⋊C4—534no—
1336C22⋊C4—538no—
1337C22⋊C4—538no—
1338C22⋊C4—534no—
1339C22⋊C4—538no—
1340C22⋊C4—538no—
1341C22⋊C4—534no—
1342C22⋊C4—538no—
1343C22⋊C4—538no—
1344C22⋊C4—534no—
1345C22⋊C4—534no—
1346C22⋊C4—534no—
1347C22⋊C4—534no—
1348C22⋊C4—534no—
1349C22⋊C4—538no—
1350C22⋊C4—538no—
1351C22⋊C4—538no—
1352C22⋊C4—538no—
1353C22⋊C4C23×D5314yes—
1354C22⋊C4C23×D5312yes—
1355C22⋊C4C23×D5314yes—
1356C22⋊C4C23×D5318yes—
1357C22⋊C4C23×D5314yes—
1358C22⋊C4C23×D5318yes—
1359C22⋊C4C23×D5318yes—
1360C42—534no—
1361C42—532no—
1362C42—531no—
1363C42—532no—
1364C42—538no—
1365C42—532no—
1366C42—534no—
1367C42—531no—
1368C42—532no—
1369C42—534no—
1370C42—534no—
1371C42—532no—
1372C42—532no—
1373C42—538no—
1374C42—538no—
1375C42—538no—
1376C42—538no—
1377C42C23×D5311yescharacteristic
1378C42C23×D5312yes—
1379C42C23×D5314yes—
1380C42C23×D5311yescharacteristic
1381C42C23×D5312yes—
1382C42C23×D5318yes—
1383C23—531no—
1384C23—531no—
1385C23—534no—
1386C23—532no—
1387C23—534no—
1388C23—1068no—
1389C23—1064no—
1390C23—2124no—
1391C23—2124no—
1392C23—2122no—
1393C23—2124no—
1394C23C24×D5314yes—
1395C23C24×D5312yes—
1396C23C24×D5311yescharacteristic
1397Q8—22no—
1398Q8—24no—
1399Q8—1064no—
1400Q8—1068no—
1401Q8—10616no—
1402Q8—1062no—
1403Q8—1064no—
1404Q8—2128no—
1405D4—28no—
1406D4—24no—
1407D4—22no—
1408D4—24no—
1409D4—44no—
1410D4—48no—
1411D4—1064no—
1412D4—1068no—
1413D4—1068no—
1414D4—1064no—
1415D4—1068no—
1416D4—1068no—
1417D4—1064no—
1418D4—1068no—
1419D4—1068no—
1420D4—1064no—
1421D4—1062no—
1422D4—1064no—
1423D4—2124no—
1424D4—2128no—
1425D4—2128no—
1426D4—2128no—
1427C2×C4—28no—
1428C2×C4—24no—
1429C2×C4—44no—
1430C2×C4—42no—
1431C2×C4—44no—
1432C2×C4—48no—
1433C2×C4—534no—
1434C2×C4—531no—
1435C2×C4—531no—
1436C2×C4—532no—
1437C2×C4—534no—
1438C2×C4—534no—
1439C2×C4—534no—
1440C2×C4—534no—
1441C2×C4—534no—
1442C2×C4—532no—
1443C2×C4—532no—
1444C2×C4—534no—
1445C2×C4—538no—
1446C2×C4—1068no—
1447C2×C4—1064no—
1448C2×C4—1064no—
1449C2×C4—1064no—
1450C2×C4—1068no—
1451C2×C4—1068no—
1452C2×C4—1064no—
1453C2×C4—1068no—
1454C2×C4—1064no—
1455C2×C4—1064no—
1456C2×C4—1068no—
1457C2×C4—1068no—
1458C2×C4—1064no—
1459C2×C4—2124no—
1460C2×C4—2124no—
1461C2×C4—2122no—
1462C2×C4—2122no—
1463C2×C4—2128no—
1464C2×C4—2128no—
1465C2×C4—2124no—
1466C2×C4—2128no—
1467C2×C4#41×D5314yes—
1468C2×C4C24×D5314yes—
1469C2×C4C24×D5312yes—
1470C2×C4C24×D5318yes—
1471C2×C4C24×D5312yes—
1472C2×C4C24×D5314yes—
1473C2×C4C24×D5312yes—
1474C2×C4C24×D5311yescharacteristic
1475C2×C4C24×D5311yescharacteristic
1476C22—22no—
1477C22—24no—
1478C22—22no—
1479C22—24no—
1480C22—24no—
1481C22—24no—
1482C22—532no—
1483C22—532no—
1484C22—1062no—
1485C22—1062no—
1486C22—1064no—
1487C22—1062no—
1488C22—1064no—
1489C22—1064no—
1490C22—1064no—
1491C22—4248no—
1492C22—2124no—
1493C22—2128no—
1494C22C2×#41×D5312yes—
1495C22C25×D5311yescharacteristic
1496C4—24no—
1497C4—22no—
1498C4—22no—
1499C4—24no—
1500C4—28no—
1501C4—22no—
1502C4—532no—
1503C4—532no—
1504C4—534no—
1505C4—1062no—
1506C4—1064no—
1507C4—1064no—
1508C4—1062no—
1509C4—1068no—
1510C4C2×#41×D5312yes—
1511C4C2×#41×D5312yes—
1512C2—22no—
1513C2—44no—
1514C2—42no—
1515C2—1062no—
1516C2—1062no—
1517C2—2124no—
1518C2—2122no—
1519C2C22×#41×D5311yescharacteristic
1520C2#585×D5312yes—
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3512C2
hypercenter#3512D53
hypocenterC53#62815
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3512

Complements

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

NH ≅ G/Ntype
1. #20288639C2semidirect
2. #20288637C2semidirect
3. #20288635C2semidirect
4. #20288624C2semidirect
5. #20288618C2semidirect
6. #20288604C2semidirect
7. #20288597C2semidirect
8. #20288587C2semidirect
9. #20288574C2semidirect
10. #20288561C2semidirect
11. #20288548C2semidirect
12. #20288309C2semidirect
13. #20288274C2semidirect
14. #20288268C2semidirect
15. #20288106C2semidirect
16. #20288099C2semidirect
17. #20288043C2semidirect
18. #20288009C2semidirect
19. C2×#16811179C2semidirect
20. #532×D53C2semidirect
21. #20287915C2semidirect
22. C4×#41×D53C2semidirect
23. C53×#3512C2semidirect
26. #16811357C22semidirect
27. #16811357C22semidirect
28. #16811356C22semidirect
29. #16811350C22semidirect
30. #16811344C22semidirect
31. #16811341C22semidirect
32. #16811341C22semidirect
33. #16811340C22semidirect
34. #16811340C22semidirect
35. #16811337C22semidirect
36. #16811336C22semidirect
37. #16811331C22semidirect
38. #16811328C22semidirect
39. #16811326C22semidirect
40. #16811323C22semidirect
41. #16811322C22semidirect
42. #16811322C22semidirect
43. #16811321C22semidirect
44. #16811319C22semidirect
45. #16811316C22semidirect
46. #16811316C22semidirect
47. #16811314C22semidirect
48. #16811313C22semidirect
49. #16811311C22semidirect
50. #16811309C22semidirect
51. #16811305C22semidirect
52. #16811302C22semidirect
53. #16811301C22semidirect
54. #16811298C22semidirect
55. #16811297C22semidirect
56. #16811291C22semidirect
57. #16811282C22semidirect
58. #16811279C22semidirect
59. #16811274C22semidirect
60. #16811273C22semidirect
61. #16811265C22semidirect
62. #16811262C22semidirect
63. #16811246C22semidirect
64. #16811245C22semidirect
65. #16811240C22semidirect
66. #16811238C22semidirect
67. #16811236C22semidirect
68. #16811235C22semidirect
69. #16811234C22semidirect
70. #16811229C22semidirect
71. #16811228C22semidirect
72. #16811227C22semidirect
73. #16811221C22semidirect
74. #16811216C22semidirect
75. #16811212C22semidirect
76. #16811205C22semidirect
77. #16811204C22semidirect
78. #16811201C22semidirect
79. #16811201C22semidirect
81. #16811196C22semidirect
83. #16811189C22semidirect
85. #16811179C22semidirect
86. #16811179C22semidirect
87. #16811179C22semidirect
88. #16811179C22semidirect
89. #16811179C22semidirect
90. #16811179C22semidirect
91. #16811177C22semidirect
92. #16811175C22semidirect
94. #16811173C22semidirect
98. #16811170C22semidirect
99. #16811169C22semidirect
100. #16811168C22semidirect
101. #16811168C22semidirect
102. #16811168C22semidirect
103. C2×#13133216C22semidirect
104. C4⋊Q8×D53C22semidirect
105. #127×D53C22semidirect
106. #16811158C22semidirect
107. #16811158C22semidirect
108. #16811157C22semidirect
109. #16811156C22semidirect
110. #16811156C22semidirect
111. #16811156C22semidirect
112. #16811154C22semidirect
113. #16811152C22semidirect
114. #16811151C22semidirect
115. #16811150C22semidirect
116. #16811150C22semidirect
117. C2×#13133209C22semidirect
118. #124×D53C22semidirect
120. #16811136C22semidirect
122. #16811133C22semidirect
123. #16811132C22semidirect
124. #16811131C22semidirect
127. #16811106C22semidirect
128. #16811104C22semidirect
129. #16811104C22semidirect
130. #16811103C22semidirect
131. #16811103C22semidirect
132. #16811099C22semidirect
134. #16811095C22semidirect
135. #41×Dic53C22semidirect
137. C4×#11719949C22semidirect
139. C4×#11719945C22semidirect
141. #16811091C22semidirect
142. #16811091C22semidirect
144. C4×#11719947C22semidirect
145. C4×#11719947C22semidirect
146. C4×#11719947C22semidirect
147. C4×#11719947C22semidirect
148. C2×#13133182C22semidirect
149. C4×Q8×D53C22semidirect
151. C4×D4×D53C22semidirect
152. C4×D4×D53C22semidirect
154. C2×#13133175C22semidirect
156. #117×D53C22semidirect
157. #117×D53C22semidirect
159. C2×C42×D53C22semidirect
160. C53×#553C22semidirect
161. C53×#553C22semidirect
162. C53×#552C22semidirect
163. C53×#541C22semidirect
164. C53×#540C22semidirect
165. C53×#537C22semidirect
166. C53×#532C22semidirect
167. C53×#529C22semidirect
168. C2×#125×C53C22semidirect
169. C53×#520C22semidirect
170. C4×#41×C53C22semidirect
514. C2×C4×D53#41semidirect
755. #3512D53semidirect
807. #553C2×D53semidirect
808. #553C2×D53semidirect
814. #552C2×D53semidirect
833. #541C2×D53semidirect
837. #540C2×D53semidirect
845. #537C2×D53semidirect
869. #532C2×D53semidirect
884. #529C2×D53semidirect
886. C2×#125C2×D53semidirect
901. #520C2×D53semidirect
918. C4×#41C2×D53semidirect
931. C53#62815semidirect

Maximal subgroups

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

subgroupindex
#202886392
#202886372
#202886352
#202886242
#202886182
#202886042
#202885972
#202885872
#202885742
#202885612
#202885482
#202883092
#202882742
#202882682
#202881062
#202880992
#202880432
#202880092
C2×#168111792
#532×D532
#202879152
C4×#41×D532
C53×#35122
#6281553