Finite Group Databasebeta

← #28292609

Subgroups — #28292609

Order 13568.

7220 conjugacy classes of subgroups.

The subgroup lattice has 1360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288817C212yesmaximal, complemented
2#20288772C216yesmaximal, complemented
3#20288701C212yesmaximal, complemented
4#20288644C216yesmaximal, complemented
5#20288635C213yesmaximal, complemented
6#20288609C213yesmaximal, complemented
7#20288541C211yesmaximal, characteristic, complemented
8#20288464C213yesmaximal, complemented
9#20288447C213yesmaximal, complemented
10#20288388C211yesmaximal, characteristic, complemented
11#20288377C211yesmaximal, characteristic, complemented
12#20288331C212yesmaximal, complemented
13#20288320C216yesmaximal, complemented
14#20288305C212yesmaximal, complemented
15#20288266C216yesmaximal, complemented
16#20288139C213yesmaximal, complemented
17#20288128C213yesmaximal, complemented
18#20288010C213yesmaximal, complemented
19C2×#16811152C213yesmaximal, complemented
202−1+4×Dic53C211yesmaximal, characteristic, complemented
21H(5,𝔽2)×Dic53C211yesmaximal, characteristic, complemented
22C4×#41×D53C211yesmaximal, characteristic, complemented
23C53×#3500C211yesmaximal, characteristic, complemented
24C2×#41×D53C2211yescharacteristic
25#16811355C2216yescomplemented
26#16811355C2216yescomplemented
27#16811349C2212yescomplemented
28#16811349C2212yescomplemented
29#16811344C2216yescomplemented
30#16811342C2216yescomplemented
31#16811342C2216yescomplemented
32#16811337C2216yescomplemented
33#16811332C2216yescomplemented
34#16811332C2216yescomplemented
35#16811331C2216yescomplemented
36#16811325C2216yescomplemented
37#16811320C2216yescomplemented
38#16811319C2216yescomplemented
39#16811319C2216yescomplemented
40#16811316C22112yescomplemented
41#16811316C22112yescomplemented
42#16811315C2216yescomplemented
43#16811313C2216yescomplemented
44#16811313C2216yescomplemented
45#16811310C22112yescomplemented
46#16811307C2216yescomplemented
47#16811304C22112yescomplemented
48#16811299C22112yescomplemented
49#16811299C22112yescomplemented
50#16811296C22112yescomplemented
51#16811292C2212yes—
52Q8×C22⋊D53C2212yescomplemented
53#16811284C2212yescomplemented
54#16811280C2212yes—
55#16811273C2216yescomplemented
56#16811272C2216yescomplemented
57#16811267C2216yes—
58#16811261C2216yescomplemented
59#16811260C22112yescomplemented
60D4×C22⋊D53C2216yes—
61#16811251C2213yescomplemented
62#16811251C2213yescomplemented
63#16811246C2216yescomplemented
64#16811242C2216yescomplemented
65#16811242C2216yescomplemented
66#16811240C2216yescomplemented
67#16811234C2216yescomplemented
68#16811233C2216yescomplemented
69#16811227C2216yescomplemented
70#16811226C2216yescomplemented
71#16811217C22112yescomplemented
72#16811208C22112yescomplemented
73#16811201C2213yes—
74#16811201C2213yescomplemented
75#16811197C2213yescomplemented
76#16811190C2213yes—
77#16811180C2213yescomplemented
78#16811178C2213yescomplemented
79#16811178C2213yescomplemented
80#16811175C2216yescomplemented
81#16811171C2213yescomplemented
82#16811171C2213yescomplemented
83#16811168C2216yescomplemented
84#16811159C2216yescomplemented
85#16811155C2216yescomplemented
86#16811155C2216yescomplemented
87#16811154C2216yescomplemented
88#16811154C2216yescomplemented
89#16811154C2216yescomplemented
90#16811152C2216yescomplemented
91#16811152C2211yescharacteristic, complemented
92#16811152C2213yescomplemented
93#16811152C2213yescomplemented
94#16811152C2213yescomplemented
95#16811152C2216yescomplemented
96#16811152C2216yescomplemented
97#16811152C2216yescomplemented
98#16811152C2216yescomplemented
99#16811152C2216yescomplemented
100#16811152C2216yescomplemented
101#16811150C22112yescomplemented
102C2×#13133210C2216yescomplemented
103C2×#13133209C2213yescomplemented
104#16811133C2216yescomplemented
105#16811133C2216yescomplemented
106#16811130C2213yes—
107#16811130C2213yescomplemented
108#16811129C22112yescomplemented
109C2×#13133199C2216yescomplemented
110C2×#13133193C2213yescomplemented
111C2×#13133188C2213yes—
112#16811106C2211yescharacteristic
113#16811106C2211yescharacteristic
114#16811106C2216yescomplemented
115#16811106C2212yescomplemented
116#16811106C2213yescomplemented
117#16811106C2213yescomplemented
118#16811101C2212yescomplemented
119#16811101C2213yescomplemented
120#16811098C2216yescomplemented
121#16811098C2213yescomplemented
122#41×Dic53C2211yescharacteristic
123#41×Dic53C2213yescomplemented
124#41×Dic53C2213yescomplemented
125#41×Dic53C2216yescomplemented
126#41×Dic53C2212yescomplemented
127C4×#11719949C2211yescharacteristic, complemented
128C4×#11719949C2211yescharacteristic, complemented
129C4×#11719945C2213yescomplemented
130#16811091C2213yescomplemented
131C4×#11719947C2213yescomplemented
132C4×#11719947C2216yescomplemented
133C4×#11719947C2216yescomplemented
134C4×#11719947C2213yescomplemented
135C2×Q8×Dic53C2212yescomplemented
136C2×Q8×Dic53C2213yescomplemented
137C4×Q8×D53C2211yescharacteristic, complemented
138C4×Q8×D53C2211yescharacteristic, complemented
139C2×D4×Dic53C2216yescomplemented
140C2×D4×Dic53C2213yescomplemented
141C2×#13133177C2216yescomplemented
142C4×D4×D53C2213yescomplemented
143C4×D4×D53C2213yescomplemented
144C2×#13133173C2216yescomplemented
145#117×D53C2213yescomplemented
146C2×C42×D53C2213yescomplemented
147C2×2−1+4×C53C2211yescharacteristic
148C2×H(5,𝔽2)×C53C2211yescharacteristic
149C53×#548C2212yescomplemented
150C53×#548C2212yescomplemented
151C53×#546C2216yescomplemented
152C53×#546C2216yescomplemented
153C53×#536C2213yescomplemented
154C53×#535C2213yescomplemented
155C53×#532C2213yescomplemented
156C2×#124×C53C2213yescomplemented
157C4×#41×C53C2211yescharacteristic
158C2×#11719949C2311yescharacteristic
159C2×#11719945C2313yes—
160C2×#11719947C2313yes—
161C2×#11719947C2316yes—
162C2×#11719947C2316yes—
163#41×D53—28no—
164C2×Q8×D53C2311yescharacteristic
165C22×C22⋊D53C2316yes—
166C2×D4×D53C2313yes—
167C23×Dic53C2316yes—
168C22×C4×D53C2313yes—
169C22×C4×D53C2313yes—
170C22×C4×D53C2313yes—
171#13133217C2313yes—
172#13133217C2313yes—
173#13133216C2316yes—
174#13133216C2316yes—
175#13133215C2316yes—
176#13133213C2316yes—
177#13133212C23112yes—
178#13133212C23112yes—
179#13133210C2316yes—
180#13133210C23112yes—
181#13133210C23112yes—
182#13133210C23112yes—
183#13133210C23112yes—
184#13133210C2316yes—
185#13133210C2316yes—
186#13133210C23112yes—
187#13133210C2312yes—
188#13133209C2316yes—
189#13133209C2316yes—
190#13133209C2313yes—
191#13133209C2316yes—
192#13133209C2311yescharacteristic
193#13133208C2316yes—
194#13133208C2316yes—
195#13133208C2316yes—
196#13133208C2316yes—
197#13133207C23112yes—
198#13133207C23112yes—
199#13133206C2316yes—
200#13133204C2316yes—
201#13133204C2316yes—
202#13133204C2316yes—
203#13133203C23112yes—
204#13133203C23112yes—
205#13133201C23112yes—
206#13133201C23112yes—
207#13133200C23112yes—
208#13133199C23112yes—
209#13133199C2316yes—
210#13133199C23112yes—
211#13133199C2316yes—
212#13133199C2316yes—
213#13133199C23112yes—
214#13133199C2312yes—
215#13133198C2316yes—
216#13133198C2316yes—
217#13133198C23112yes—
218#13133198C23112yes—
219#13133197C2316yes—
220#13133197C2316yes—
221#13133196C2316yes—
222#13133196C2316yes—
223#13133196C2316yes—
224#13133196C2316yes—
225#13133194C23112yes—
226#13133194C23112yes—
227#13133194C23112yes—
228#13133194C23112yes—
229#13133193C2316yes—
230#13133193C2316yes—
231#13133193C2313yes—
232#13133193C2316yes—
233#13133193C2311yescharacteristic
234#13133193C2313yes—
235#13133193C2313yes—
236#13133191C2316yes—
237#13133191C2316yes—
238#13133189C23112yes—
239#13133189C23112yes—
240#13133189C23112yes—
241#13133189C23112yes—
242#13133188C2316yes—
243#13133188C2316yes—
244#13133188C2316yes—
245#13133188C2313yes—
246#13133188C2316yes—
247#13133188C2313yes—
248#13133188C2311yescharacteristic
249#13133188C2313yes—
250#13133188C2316yes—
251#13133186C23112yes—
252#13133185C2316yes—
253#13133185C2316yes—
254Q8×Dic53C2312yes—
255Q8×Dic53C2312yes—
256Q8×Dic53C2316yes—
257Q8×Dic53C2316yes—
258Q8×Dic53C2311yescharacteristic
259Q8×Dic53C2311yescharacteristic
260Q8×Dic53C2313yes—
261Q8×Dic53C2316yes—
262Q8×Dic53C2316yes—
263Q8×Dic53C2316yes—
264Q8×Dic53C2311yescharacteristic
265Q8×Dic53C2313yes—
266Q8×Dic53C2313yes—
267C4×Dic106C2313yes—
268C4×Dic106C2313yes—
269C4×Dic106C2316yes—
270C4×Dic106C2316yes—
271#13133182C2316yes—
272#13133182C2313yes—
273#13133182C2313yes—
274#13133182C2316yes—
275C4×D212C2313yes—
276C4×D212C2313yes—
277D4×Dic53C2316yes—
278D4×Dic53C2316yes—
279D4×Dic53C2316yes—
280D4×Dic53C23112yes—
281D4×Dic53C2316yes—
282D4×Dic53C23112yes—
283D4×Dic53C2316yes—
284D4×Dic53C2313yes—
285D4×Dic53C2313yes—
286D4×Dic53C2316yes—
287D4×Dic53C2313yes—
288D4×Dic53C2316yes—
289D4×Dic53C2316yes—
290D4×Dic53C2316yes—
291D4×Dic53C2316yes—
292D4×Dic53C2316yes—
293D4×Dic53C2311yescharacteristic
294D4×Dic53C2316yes—
295D4×Dic53C2313yes—
296D4×Dic53C2316yes—
297D4×Dic53C2313yes—
298#13133179C2313yes—
299#13133179C2313yes—
300C4×C22⋊D53C2316yes—
301C4×C22⋊D53C2316yes—
302C4×C22⋊D53C2316yes—
303C4×C22⋊D53C2316yes—
304C4×C22⋊D53C2316yes—
305C4×C22⋊D53C2316yes—
306#13133177C23112yes—
307#13133177C2316yes—
308#13133177C23112yes—
309#13133177C2316yes—
310#13133177C2316yes—
311#13133177C2316yes—
312#13133177C2316yes—
313#13133177C23112yes—
314#13133177C2312yes—
315#13133176C23112yes—
316#13133176C2316yes—
317#13133176C2316yes—
318#13133176C2313yes—
319#13133176C2313yes—
320#13133176C2316yes—
321#13133176C2313yes—
322#13133176C2316yes—
323#13133175C2316yes—
324#13133175C2313yes—
325#13133175C2313yes—
326#13133175C2316yes—
327#13133174C2316yes—
328#13133173C2316yes—
329#13133173C23112yes—
330#13133173C2316yes—
331#13133173C23112yes—
332#13133173C2316yes—
333#13133173C2316yes—
334#13133173C23112yes—
335#13133173C2312yes—
336C2×C4⋊Dic53C2316yes—
337C2×C4⋊Dic53C2316yes—
338C2×C4⋊Dic53C2313yes—
339C2×C4⋊Dic53C2313yes—
340C2×C4⋊Dic53C2316yes—
341C2×#11719919C2316yes—
342C2×#11719919C2316yes—
343C2×#11719919C2316yes—
344C4⋊C4×D53C2313yes—
345C4⋊C4×D53C2313yes—
346C2×C22⋊Dic53C2316yes—
347C2×C22⋊Dic53C23112yes—
348C2×C22⋊Dic53C2316yes—
349C2×#11719921C2316yes—
350C22⋊C4×D53C2316yes—
351C2×C4×Dic53C2313yes—
352C2×C4×Dic53C2313yes—
353C2×C4×Dic53C2313yes—
354C2×C4×Dic53C2316yes—
355C2×C4×Dic53C2316yes—
356C2×C4×Dic53C2316yes—
357C42×D53C2311yescharacteristic
358C42×D53C2313yes—
359C42×D53C2313yes—
360C42×D53C2313yes—
361C42×D53C2313yes—
362C42×D53C2313yes—
363C42×D53C2313yes—
364C42×D53C2313yes—
3652−1+4×C53—28no—
366H(5,𝔽2)×C53—28no—
367C2×#41×C53C2316yes—
368C2×#41×C53C2312yes—
369C2×#41×C53C2313yes—
370C2×#41×C53C2313yes—
371C2×#41×C53C2311yescharacteristic
372C22×Q8×C53C2312yes—
373C22×Q8×C53C2313yes—
374C22×D4×C53C2316yes—
375C22×D4×C53C2313yes—
376C4⋊Q8×C53C2313yes—
377#127×C53C2313yes—
378#124×C53C2313yes—
379#124×C53C2316yes—
380#124×C53C2316yes—
381#124×C53C2316yes—
382#124×C53C2311yescharacteristic
383#123×C53C23112yes—
384C22⋊Q8×C53C2316yes—
385C22⋊Q8×C53C2316yes—
386#121×C53C2316yes—
387#121×C53C2316yes—
388#121×C53C2316yes—
389#121×C53C2316yes—
390#120×C53C23112yes—
391C4×Q8×C53C2311yescharacteristic
392C4×Q8×C53C2311yescharacteristic
393C4×D4×C53C2313yes—
394C4×D4×C53C2313yes—
395C4×D4×C53C2316yes—
396C4×D4×C53C2316yes—
397#117×C53C2313yes—
398C2×C22⋊C4×C53C2316yes—
399C2×C22⋊C4×C53C2316yes—
400C2×C42×C53C2313yes—
401C24×C53C2416yes—
402C23×D53C2413yes—
403#41×C53—28no—
404#41×C53—224no—
405#41×C53—212no—
406#41×C53—212no—
407#41×C53#4118yescomplemented
408C2×Q8×C53—28no—
409C2×Q8×C53—212no—
410C2×Q8×C53C2416yes—
411C2×Q8×C53C2413yes—
412C2×Q8×C53C2411yescharacteristic
413C2×Q8×C53C2411yescharacteristic
414C2×D4×C53—224no—
415C2×D4×C53—212no—
416C2×D4×C53C2416yes—
417C2×D4×C53C2416yes—
418C2×D4×C53C2416yes—
419C2×D4×C53C2413yes—
420C2×D4×C53C2411yescharacteristic
421C2×D4×C53C2416yes—
422C2×D4×C53C2416yes—
423C2×D4×C53C2413yes—
424C22×C4×C53C2416yes—
425C22×C4×C53C2416yes—
426C22×C4×C53C2416yes—
427C22×C4×C53C2413yes—
428C22×C4×C53C2413yes—
429C22×C4×C53C2413yes—
430C2×C22⋊D53—412no—
431C2×C22⋊D53C2416yes—
432C2×C22⋊D53C2416yes—
433C2×C22⋊D53C2412yes—
434C2×C22⋊D53C24112yes—
435C2×C22⋊D53C2416yes—
436C2×C22⋊D53C2416yes—
437C22×Dic53—412no—
438C22×Dic53C2413yes—
439C22×Dic53C2412yes—
440C22×Dic53C2413yes—
441C22×Dic53C2416yes—
442C22×Dic53C2413yes—
443C22×Dic53C2416yes—
444C22×Dic53C2416yes—
445C22×Dic53C2416yes—
446C22×Dic53C2416yes—
447C22×Dic53C24112yes—
448#11719949—24no—
449Q8×D53—24no—
450#11719947—212no—
451#11719947—412no—
452#11719947—412no—
453D4×D53—212no—
454#11719945—212no—
455C2×D212C2413yes—
456C2×C4×D53—212no—
457C2×C4×D53—46no—
458C2×C4×D53—46no—
459C2×C4×D53C2411yescharacteristic
460C2×C4×D53C2411yescharacteristic
461C2×C4×D53C2411yescharacteristic
462C2×C4×D53C2413yes—
463C2×C4×D53C2413yes—
464C2×C4×D53C2413yes—
465C2×C4×D53C2413yes—
466C2×C4×D53C2413yes—
467C2×C4×D53C2413yes—
468C2×C4×D53C2413yes—
469C2×C4×D53C2413yes—
470C2×C4×D53C2413yes—
471C2×Dic106C2413yes—
472C2×Dic106C2416yes—
473C2×Dic106C2416yes—
474C4⋊C4×C53C2413yes—
475C4⋊C4×C53C2413yes—
476C4⋊C4×C53C2416yes—
477C4⋊C4×C53C2416yes—
478C22⋊C4×C53C2416yes—
479C22⋊C4×C53C2416yes—
480C22⋊C4×C53C24112yes—
481C22⋊C4×C53C24112yes—
482C22⋊C4×C53C2416yes—
483C22⋊C4×C53C2412yes—
484C22⋊C4×C53C2412yes—
485C42×C53C2411yescharacteristic
486C42×C53C2413yes—
487C42×C53C2413yes—
488C42×C53C2413yes—
489C22⋊Dic53C2416yes—
490C22⋊Dic53C2416yes—
491C22⋊Dic53C2416yes—
492C22⋊Dic53C2416yes—
493C22⋊Dic53C2416yes—
494C22⋊Dic53C24112yes—
495C22⋊Dic53C24112yes—
496C22⋊Dic53C2412yes—
497C22⋊Dic53C2416yes—
498C22⋊Dic53C2416yes—
499C22⋊Dic53C2416yes—
500C22⋊Dic53C2412yes—
501C22⋊Dic53C2416yes—
502#11719921C2416yes—
503#11719921C2416yes—
504#11719921C2416yes—
505#11719921C24112yes—
506#11719921C2412yes—
507#11719921C2416yes—
508#11719921C2416yes—
509C4⋊Dic53C2413yes—
510C4⋊Dic53C2413yes—
511C4⋊Dic53C2413yes—
512C4⋊Dic53C2416yes—
513C4⋊Dic53C2416yes—
514C4⋊Dic53C2413yes—
515C4⋊Dic53C2416yes—
516C4⋊Dic53C24112yes—
517C4⋊Dic53C2416yes—
518C4⋊Dic53C2416yes—
519C4⋊Dic53C2416yes—
520C4⋊Dic53C2411yescharacteristic
521C4⋊Dic53C2412yes—
522C4⋊Dic53C2411yescharacteristic
523C4⋊Dic53C2416yes—
524#11719919C2416yes—
525#11719919C2416yes—
526#11719919C2416yes—
527#11719919C2416yes—
528#11719919C2416yes—
529#11719919C24112yes—
530#11719919C24112yes—
531#11719919C24112yes—
532#11719919C2412yes—
533#11719919C2412yes—
534#11719919C2412yes—
535#11719919C2416yes—
536#11719919C2416yes—
537C4×Dic53C2411yescharacteristic
538C4×Dic53C2411yescharacteristic
539C4×Dic53C2411yescharacteristic
540C4×Dic53C2413yes—
541C4×Dic53C2413yes—
542C4×Dic53C2413yes—
543C4×Dic53C2413yes—
544C4×Dic53C2413yes—
545C4×Dic53C2413yes—
546C4×Dic53C2413yes—
547C4×Dic53C2413yes—
548C4×Dic53C2413yes—
549C4×Dic53C2416yes—
550C4×Dic53C2412yes—
551C4×Dic53C24112yes—
552C4×Dic53C2416yes—
553C4×Dic53C2416yes—
554C4×Dic53C2416yes—
555C4×Dic53C2416yes—
556C23×C53—212no—
557C23×C53—46no—
558C23×C53—46no—
559C23×C53C2512yes—
560C23×C53C2516yes—
561C23×C53C2513yes—
562C22×D53—26no—
563C22×D53—26no—
564C22×D53—43no—
565C22×D53C2513yes—
566C22×D53C2511yescharacteristic
567Q8×C53—212no—
568Q8×C53—26no—
569Q8×C53—22no—
570Q8×C53C2×#4114yes—
571D4×C53—212no—
572D4×C53—212no—
573D4×C53—212no—
574D4×C53—26no—
575D4×C53—22no—
576D4×C53—46no—
577D4×C53—46no—
578D4×C53C2×#41112yes—
579C2×C4×C53—212no—
580C2×C4×C53—212no—
581C2×C4×C53—212no—
582C2×C4×C53—43no—
583C2×C4×C53—43no—
584C2×C4×C53C2×#41112yes—
585C2×C4×C53C2513yes—
586C2×C4×C53C2513yes—
587C2×C4×C53C2511yescharacteristic
588C2×C4×C53C2511yescharacteristic
589C2×C4×C53C2512yes—
590C2×C4×C53C2516yes—
591C2×C4×C53C2513yes—
592C2×C4×C53C2511yescharacteristic
593C22⋊D53—212no—
594C22⋊D53—24no—
595C22⋊D53—212no—
596C22⋊D53—46no—
597C22⋊D53—46no—
598C22⋊D53—412no—
599C2×Dic53—26no—
600C2×Dic53—26no—
601C2×Dic53—24no—
602C2×Dic53—212no—
603C2×Dic53—43no—
604C2×Dic53—46no—
605C2×Dic53—46no—
606C2×Dic53—46no—
607C2×Dic53—412no—
608C2×Dic53—46no—
609C2×Dic53C2512yes—
610C2×Dic53C2512yes—
611C2×Dic53C2513yes—
612C2×Dic53C2516yes—
613C2×Dic53C2516yes—
614C2×Dic53C2511yescharacteristic
615C2×Dic53C2511yescharacteristic
616C2×Dic53C2513yes—
617C2×Dic53C2513yes—
618C2×Dic53C2511yescharacteristic
619D212—26no—
620C4×D53—22no—
621C4×D53—26no—
622C4×D53—22no—
623C4×D53—26no—
624C4×D53—26no—
625C4×D53—26no—
626C4×D53—22no—
627C4×D53—26no—
628C4×D53—43no—
629C4×D53—43no—
630C4×D53—43no—
631C4×D53—43no—
632Dic106—26no—
633Dic106—46no—
634Dic106—46no—
635#62810—531nomaximal, Sylow
636C22×C53—23no—
637C22×C53—23no—
638C22×C53—22no—
639C22×C53—26no—
640C22×C53—26no—
641C22×C53—22no—
642C22×C53—22no—
643C22×C53—26no—
644C22×C53—812no—
645C22×C53C22×#4116yes—
646C22×C53C2611yescharacteristic
647C2×D53—21no—
648C2×D53—21no—
649C2×D53—23no—
650C2×D53—23no—
651C2×D53—23no—
652C2×D53—412no—
653C2×D53#58512yes—
654C4×C53—22no—
655C4×C53—26no—
656C4×C53—23no—
657C4×C53—23no—
658C4×C53—21no—
659C4×C53—21no—
660C4×C53C22×#4116yes—
661C4×C53C22×#4112yes—
662Dic53—23no—
663Dic53—21no—
664Dic53—22no—
665Dic53—22no—
666Dic53—26no—
667Dic53—26no—
668Dic53—21no—
669Dic53—23no—
670Dic53—23no—
671Dic53#58512yes—
672#3524—532no—
673#3521—536no—
674#3516—532no—
675#3513—536no—
676#3512—533no—
677#3510—533no—
678#3504—531no—
679#3500D5311yescharacteristic, complemented
680#3495—533no—
681#3494—533no—
682#3489—531no—
683#3488—531no—
684#3482—532no—
685#3481—536no—
686#3480—532no—
687#3475—536no—
688#3461—533no—
689#3460—533no—
690#3444—533no—
691C2×#529—533no—
692C4×2−1+4—531no—
693C4×H(5,𝔽2)—531no—
694C2×C4×#41—531no—
695C2×C53—26no—
696C2×C53—42no—
697C2×C53—46no—
698C2×C53C23×#4111yescharacteristic
699C2×C53C2×#58511yescharacteristic
700C2×C53C2×#58511yescharacteristic
701D53—22no—
702D53—43no—
703C2×2−1+4C2×D5311yescharacteristic
704C2×H(5,𝔽2)C2×D5311yescharacteristic
705C22×#41—531no—
706#559—536no—
707#559—536no—
708#557—532no—
709#557—532no—
710#556—536no—
711#556—536no—
712#556—536no—
713#555—536no—
714#554—536no—
715#554—536no—
716#554—536no—
717#553—5312no—
718#553—5312no—
719#553—536no—
720#553—536no—
721#553—536no—
722#553—536no—
723#552—5312no—
724#552—536no—
725#552—536no—
726#552—536no—
727#552—536no—
728#551—5312no—
729#551—5312no—
730#551—5312no—
731#551—5312no—
732#550—532no—
733D4×Q8—532no—
734#548—532no—
735#548—532no—
736#548C2×D5312yescomplemented
737#548C2×D5312yescomplemented
738#547—536no—
739#547—536no—
740#546—536no—
741#546—536no—
742#546—5312no—
743#546C2×D5316yescomplemented
744#546C2×D5316yescomplemented
745D42—536no—
746#544—533no—
747#544—533no—
748#542—536no—
749#542—536no—
750#542—536no—
751#542—536no—
752#541—536no—
753#541—536no—
754#540—536no—
755#540—536no—
756#539—5312no—
757#538—5312no—
758#537—533no—
759#537—533no—
760#536—533no—
761#536C2×D5313yescomplemented
762#535—533no—
763#535C2×D5313yescomplemented
764#533—533no—
765#533—533no—
766#533—536no—
767#533—533no—
768#532—533no—
769#532—533no—
770#532—536no—
771#532C2×D5313yescomplemented
772#529—533no—
773#529—536no—
774#529—536no—
775#529—536no—
776#529—536no—
777#529—536no—
778#529—536no—
779#529—536no—
780#529—531no—
781#529—533no—
782#529—533no—
783#529—5312no—
784#529—536no—
785#529—536no—
786#529—536no—
787#529—536no—
788#529—536no—
789#529—536no—
790C2×#126—536no—
791C2×#125—533no—
792C2×#124C2×D5313yescomplemented
793#525—533no—
794#525—533no—
795#525—536no—
796#525—536no—
797#525—5312no—
798C2×#123—536no—
799C2×C22⋊Q8—533no—
800C2×#121—533no—
801#520—531no—
802#520—531no—
803#520—533no—
804#520—532no—
805#520—533no—
806#520—536no—
807#519—533no—
808#519—532no—
809#518—533no—
810#518—536no—
811C4×#41—531no—
812C4×#41—533no—
813C4×#41—532no—
814C4×#41—533no—
815C4×#41—536no—
816C4×#41—531no—
817C4×#41—531no—
818C4×#41—533no—
819C4×#41—533no—
820C4×#41—536no—
821C4×#41—536no—
822C4×#41—533no—
823C4×#41—533no—
824C4×#41C2×D5311yescharacteristic
825C2×C4×Q8—533no—
826C2×C4×Q8—532no—
827C2×C4×Q8—531no—
828C2×C4×Q8—531no—
829C2×C4×D4—533no—
830C2×C4×D4—536no—
831C2×C4×D4—533no—
832C2×C4×D4—533no—
833C2×C4×D4—536no—
834C2×#117—533no—
835C2×#117—536no—
836C22×C42—533no—
837C53#6281011yescharacteristic, complemented, Sylow
8382−1+4—28no—
839H(5,𝔽2)—28no—
840C2×#41—531no—
841C2×#41—533no—
842C2×#41—536no—
843C2×#41—536no—
844C2×#41—533no—
845C2×#41—1068no—
846C2×#41C22×D5313yes—
847C2×#41C22×D5313yes—
848C2×#41C22×D5316yes—
849C2×#41C22×D5312yes—
850C2×#41C22×D5311yescharacteristic
851C22×Q8—531no—
852C22×Q8C22×D5313yes—
853C22×Q8C22×D5312yes—
854C22×D4—536no—
855C22×D4—533no—
856C22×D4C22×D5313yes—
857C22×D4C22×D5316yes—
858C23×C4—536no—
859C23×C4—533no—
860C23×C4—533no—
861C23×C4—533no—
862C4⋊Q8—536no—
863C4⋊Q8—536no—
864C4⋊Q8—536no—
865C4⋊Q8—533no—
866C4⋊Q8—533no—
867C4⋊Q8C22×D5313yes—
868#127—536no—
869#127C22×D5313yes—
870#126—5312no—
871#126—5312no—
872#126—536no—
873#126—5312no—
874#126—5312no—
875#126—5312no—
876#126—532no—
877#126—536no—
878#126—536no—
879#126—5312no—
880#126—5312no—
881#125—536no—
882#125—536no—
883#125—536no—
884#125—5312no—
885#125—536no—
886#125—5312no—
887#125—533no—
888#125—536no—
889#125—536no—
890#125—536no—
891#125—531no—
892#124—536no—
893#124—536no—
894#124—536no—
895#124—536no—
896#124—5312no—
897#124—5312no—
898#124C22×D5313yes—
899#124C22×D5316yes—
900#124C22×D5316yes—
901#124C22×D5316yes—
902#124C22×D5311yescharacteristic
903#123—536no—
904#123—536no—
905#123—5312no—
906#123—5312no—
907#123—5312no—
908#123—536no—
909#123—5312no—
910#123—5312no—
911#123—5312no—
912#123—532no—
913#123—536no—
914#123—536no—
915#123—5312no—
916#123—5312no—
917#123C22×D53112yes—
918C22⋊Q8—533no—
919C22⋊Q8—536no—
920C22⋊Q8—536no—
921C22⋊Q8—536no—
922C22⋊Q8—531no—
923C22⋊Q8—533no—
924C22⋊Q8—533no—
925C22⋊Q8—536no—
926C22⋊Q8—536no—
927C22⋊Q8—536no—
928C22⋊Q8—536no—
929C22⋊Q8—536no—
930C22⋊Q8—536no—
931C22⋊Q8—5312no—
932C22⋊Q8—5312no—
933C22⋊Q8—5312no—
934C22⋊Q8—5312no—
935C22⋊Q8C22×D5316yes—
936C22⋊Q8C22×D5316yes—
937#121—533no—
938#121—536no—
939#121—536no—
940#121—536no—
941#121—531no—
942#121—533no—
943#121—533no—
944#121—536no—
945#121—536no—
946#121—5312no—
947#121—5312no—
948#121—5312no—
949#121—5312no—
950#121—536no—
951#121—536no—
952#121C22×D5316yes—
953#121C22×D5316yes—
954#121C22×D5316yes—
955#121C22×D5316yes—
956#120—5312no—
957#120—536no—
958#120—536no—
959#120C22×D53112yes—
960C4×Q8—531no—
961C4×Q8—533no—
962C4×Q8—536no—
963C4×Q8—531no—
964C4×Q8—536no—
965C4×Q8—536no—
966C4×Q8—532no—
967C4×Q8—536no—
968C4×Q8—531no—
969C4×Q8—533no—
970C4×Q8—536no—
971C4×Q8—533no—
972C4×Q8—532no—
973C4×Q8—533no—
974C4×Q8—533no—
975C4×Q8—536no—
976C4×Q8—536no—
977C4×Q8—533no—
978C4×Q8—533no—
979C4×Q8—536no—
980C4×Q8—536no—
981C4×Q8C22×D5311yescharacteristic
982C4×Q8C22×D5311yescharacteristic
983C4×D4—533no—
984C4×D4—536no—
985C4×D4—533no—
986C4×D4—536no—
987C4×D4—533no—
988C4×D4—536no—
989C4×D4—536no—
990C4×D4—536no—
991C4×D4—5312no—
992C4×D4—536no—
993C4×D4—536no—
994C4×D4—531no—
995C4×D4—536no—
996C4×D4—533no—
997C4×D4—536no—
998C4×D4—536no—
999C4×D4—533no—
1000C4×D4—536no—
1001C4×D4—5312no—
1002C4×D4—536no—
1003C4×D4—536no—
1004C4×D4—536no—
1005C4×D4—536no—
1006C4×D4—536no—
1007C4×D4—536no—
1008C4×D4—536no—
1009C4×D4—536no—
1010C4×D4—533no—
1011C4×D4—533no—
1012C4×D4—536no—
1013C4×D4—536no—
1014C4×D4—536no—
1015C4×D4—5312no—
1016C4×D4—5312no—
1017C4×D4—5312no—
1018C4×D4—532no—
1019C4×D4—536no—
1020C4×D4—536no—
1021C4×D4—533no—
1022C4×D4—533no—
1023C4×D4C22×D5313yes—
1024C4×D4C22×D5313yes—
1025C4×D4C22×D5316yes—
1026C4×D4C22×D5316yes—
1027#117—533no—
1028#117—533no—
1029#117—536no—
1030#117—536no—
1031#117—533no—
1032#117—536no—
1033#117—5312no—
1034#117—536no—
1035#117—533no—
1036#117—533no—
1037#117—536no—
1038#117—536no—
1039#117—536no—
1040#117—536no—
1041#117—5312no—
1042#117—5312no—
1043#117—5312no—
1044#117—532no—
1045#117—536no—
1046#117—536no—
1047#117—536no—
1048#117C22×D5313yes—
1049C2×C4⋊C4—536no—
1050C2×C4⋊C4—536no—
1051C2×C4⋊C4—533no—
1052C2×C4⋊C4—536no—
1053C2×C4⋊C4—536no—
1054C2×C4⋊C4—533no—
1055C2×C4⋊C4—536no—
1056C2×C4⋊C4—536no—
1057C2×C4⋊C4—533no—
1058C2×C4⋊C4—533no—
1059C2×C22⋊C4—536no—
1060C2×C22⋊C4—536no—
1061C2×C22⋊C4—5312no—
1062C2×C22⋊C4—536no—
1063C2×C22⋊C4—536no—
1064C2×C22⋊C4C22×D5316yes—
1065C2×C22⋊C4C22×D5316yes—
1066C2×C42—533no—
1067C2×C42—536no—
1068C2×C42—533no—
1069C2×C42—536no—
1070C2×C42—536no—
1071C2×C42—533no—
1072C2×C42—533no—
1073C2×C42—533no—
1074C2×C42—533no—
1075C2×C42—533no—
1076C2×C42—533no—
1077C2×C42—533no—
1078C2×C42—533no—
1079C2×C42—531no—
1080C2×C42C22×D5313yes—
1081C24—533no—
1082C24C23×D5316yes—
1083#41—28no—
1084#41—224no—
1085#41—212no—
1086#41—212no—
1087#41—1064no—
1088#41—10612no—
1089#41—10612no—
1090#41—21212no—
1091#41—21212no—
1092#41#1171994718yescomplemented
1093C2×Q8—28no—
1094C2×Q8—212no—
1095C2×Q8—533no—
1096C2×Q8—536no—
1097C2×Q8—536no—
1098C2×Q8—1064no—
1099C2×Q8C23×D5313yes—
1100C2×Q8C23×D5311yescharacteristic
1101C2×Q8C23×D5316yes—
1102C2×Q8C23×D5311yescharacteristic
1103C2×D4—224no—
1104C2×D4—212no—
1105C2×D4—532no—
1106C2×D4—536no—
1107C2×D4—536no—
1108C2×D4—536no—
1109C2×D4—536no—
1110C2×D4—5312no—
1111C2×D4—533no—
1112C2×D4—10612no—
1113C2×D4—21212no—
1114C2×D4C23×D5316yes—
1115C2×D4C23×D5316yes—
1116C2×D4C23×D5313yes—
1117C2×D4C23×D5311yescharacteristic
1118C2×D4C23×D5316yes—
1119C2×D4C23×D5316yes—
1120C2×D4C23×D5316yes—
1121C2×D4C23×D5313yes—
1122C22×C4—533no—
1123C22×C4—532no—
1124C22×C4—533no—
1125C22×C4—536no—
1126C22×C4—533no—
1127C22×C4—536no—
1128C22×C4—536no—
1129C22×C4—536no—
1130C22×C4—536no—
1131C22×C4—5312no—
1132C22×C4—531no—
1133C22×C4—531no—
1134C22×C4—531no—
1135C22×C4—533no—
1136C22×C4—533no—
1137C22×C4—533no—
1138C22×C4—533no—
1139C22×C4—533no—
1140C22×C4—533no—
1141C22×C4—533no—
1142C22×C4—533no—
1143C22×C4—533no—
1144C22×C4—10612no—
1145C22×C4—2126no—
1146C22×C4—2126no—
1147C22×C4—21212no—
1148C22×C4C23×D5316yes—
1149C22×C4C23×D5316yes—
1150C22×C4C23×D5316yes—
1151C22×C4C23×D5313yes—
1152C22×C4C23×D5313yes—
1153C22×C4C23×D5313yes—
1154C4⋊C4—533no—
1155C4⋊C4—533no—
1156C4⋊C4—536no—
1157C4⋊C4—536no—
1158C4⋊C4—536no—
1159C4⋊C4—533no—
1160C4⋊C4—536no—
1161C4⋊C4—536no—
1162C4⋊C4—536no—
1163C4⋊C4—533no—
1164C4⋊C4—536no—
1165C4⋊C4—5312no—
1166C4⋊C4—536no—
1167C4⋊C4—536no—
1168C4⋊C4—5312no—
1169C4⋊C4—5312no—
1170C4⋊C4—5312no—
1171C4⋊C4—531no—
1172C4⋊C4—532no—
1173C4⋊C4—531no—
1174C4⋊C4—532no—
1175C4⋊C4—536no—
1176C4⋊C4—532no—
1177C4⋊C4—532no—
1178C4⋊C4—536no—
1179C4⋊C4—536no—
1180C4⋊C4—536no—
1181C4⋊C4—536no—
1182C4⋊C4C23×D5313yes—
1183C4⋊C4C23×D5313yes—
1184C4⋊C4C23×D5316yes—
1185C4⋊C4C23×D5316yes—
1186C22⋊C4—536no—
1187C22⋊C4—536no—
1188C22⋊C4—536no—
1189C22⋊C4—536no—
1190C22⋊C4—5312no—
1191C22⋊C4—536no—
1192C22⋊C4—5312no—
1193C22⋊C4—536no—
1194C22⋊C4—536no—
1195C22⋊C4—532no—
1196C22⋊C4—532no—
1197C22⋊C4—536no—
1198C22⋊C4—536no—
1199C22⋊C4—536no—
1200C22⋊C4—536no—
1201C22⋊C4—536no—
1202C22⋊C4—5312no—
1203C22⋊C4—532no—
1204C22⋊C4—536no—
1205C22⋊C4—536no—
1206C22⋊C4C23×D5316yes—
1207C22⋊C4C23×D5316yes—
1208C22⋊C4C23×D5316yes—
1209C22⋊C4C23×D53112yes—
1210C22⋊C4C23×D53112yes—
1211C22⋊C4C23×D5312yes—
1212C22⋊C4C23×D5312yes—
1213C42—531no—
1214C42—533no—
1215C42—531no—
1216C42—531no—
1217C42—533no—
1218C42—532no—
1219C42—533no—
1220C42—536no—
1221C42—533no—
1222C42—533no—
1223C42—533no—
1224C42—533no—
1225C42—533no—
1226C42—533no—
1227C42—536no—
1228C42—5312no—
1229C42—536no—
1230C42—536no—
1231C42—536no—
1232C42C23×D5311yescharacteristic
1233C42C23×D5313yes—
1234C42C23×D5313yes—
1235C42C23×D5313yes—
1236C23—212no—
1237C23—46no—
1238C23—46no—
1239C23—531no—
1240C23—533no—
1241C23—1066no—
1242C23—1066no—
1243C23—2123no—
1244C23C24×D5316yes—
1245C23C24×D5312yes—
1246C23C24×D5313yes—
1247Q8—212no—
1248Q8—26no—
1249Q8—22no—
1250Q8—1066no—
1251Q8—2126no—
1252Q8—2126no—
1253Q8C2×#1171994714yes—
1254D4—212no—
1255D4—212no—
1256D4—212no—
1257D4—26no—
1258D4—22no—
1259D4—46no—
1260D4—46no—
1261D4—10612no—
1262D4—1064no—
1263D4—10612no—
1264D4—1066no—
1265D4—21212no—
1266D4—2126no—
1267D4—2126no—
1268D4C2×#11719947112yes—
1269C2×C4—212no—
1270C2×C4—212no—
1271C2×C4—212no—
1272C2×C4—43no—
1273C2×C4—43no—
1274C2×C4—531no—
1275C2×C4—531no—
1276C2×C4—531no—
1277C2×C4—533no—
1278C2×C4—533no—
1279C2×C4—532no—
1280C2×C4—532no—
1281C2×C4—533no—
1282C2×C4—536no—
1283C2×C4—536no—
1284C2×C4—1062no—
1285C2×C4—1066no—
1286C2×C4—1062no—
1287C2×C4—1066no—
1288C2×C4—1066no—
1289C2×C4—10612no—
1290C2×C4—1064no—
1291C2×C4—1066no—
1292C2×C4—1062no—
1293C2×C4—1066no—
1294C2×C4—1066no—
1295C2×C4—1066no—
1296C2×C4—2123no—
1297C2×C4—2123no—
1298C2×C4—2123no—
1299C2×C4—2123no—
1300C2×C4—2123no—
1301C2×C4—21212no—
1302C2×C4—2126no—
1303C2×C4—2126no—
1304C2×C4—2126no—
1305C2×C4—2126no—
1306C2×C4C2×#11719947112yes—
1307C2×C4C24×D5311yescharacteristic
1308C2×C4C24×D5311yescharacteristic
1309C2×C4C24×D5316yes—
1310C2×C4C24×D5312yes—
1311C2×C4C24×D5313yes—
1312C2×C4C24×D5313yes—
1313C2×C4C24×D5313yes—
1314C2×C4C24×D5311yescharacteristic
1315C22—23no—
1316C22—23no—
1317C22—22no—
1318C22—26no—
1319C22—26no—
1320C22—22no—
1321C22—22no—
1322C22—26no—
1323C22—812no—
1324C22—532no—
1325C22—1061no—
1326C22—1061no—
1327C22—1063no—
1328C22—1063no—
1329C22—1063no—
1330C22—21212no—
1331C22C22×#1171994716yes—
1332C22C25×D5311yescharacteristic
1333C4—22no—
1334C4—26no—
1335C4—21no—
1336C4—21no—
1337C4—23no—
1338C4—23no—
1339C4—532no—
1340C4—1061no—
1341C4—1063no—
1342C4—1063no—
1343C4—1061no—
1344C4—1063no—
1345C4—1066no—
1346C4—1062no—
1347C4—1066no—
1348C4—1062no—
1349C4C22×#1171994716yes—
1350C4C22×#1171994712yes—
1351C2—26no—
1352C2—46no—
1353C2—42no—
1354C2—1062no—
1355C2—2123no—
1356C2C23×#1171994711yescharacteristic
1357C2#585×D5311yescharacteristic
1358C2#585×D5311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3500C2
hypercenter#3500D53
hypocenterC53#62810
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3500

Complements

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

NH ≅ G/Ntype
1. #20288817C2semidirect
2. #20288772C2semidirect
3. #20288701C2semidirect
4. #20288644C2semidirect
5. #20288635C2semidirect
6. #20288609C2semidirect
7. #20288541C2semidirect
8. #20288464C2semidirect
9. #20288447C2semidirect
10. #20288388C2semidirect
11. #20288377C2semidirect
12. #20288331C2semidirect
13. #20288320C2semidirect
14. #20288305C2semidirect
15. #20288266C2semidirect
16. #20288139C2semidirect
17. #20288128C2semidirect
18. #20288010C2semidirect
19. C2×#16811152C2semidirect
20. 2−1+4×Dic53C2semidirect
21. H(5,𝔽2)×Dic53C2semidirect
22. C4×#41×D53C2semidirect
23. C53×#3500C2semidirect
25. #16811355C22semidirect
26. #16811355C22semidirect
27. #16811349C22semidirect
28. #16811349C22semidirect
29. #16811344C22semidirect
30. #16811342C22semidirect
31. #16811342C22semidirect
32. #16811337C22semidirect
33. #16811332C22semidirect
34. #16811332C22semidirect
35. #16811331C22semidirect
36. #16811325C22semidirect
37. #16811320C22semidirect
38. #16811319C22semidirect
39. #16811319C22semidirect
40. #16811316C22semidirect
41. #16811316C22semidirect
42. #16811315C22semidirect
43. #16811313C22semidirect
44. #16811313C22semidirect
45. #16811310C22semidirect
46. #16811307C22semidirect
47. #16811304C22semidirect
48. #16811299C22semidirect
49. #16811299C22semidirect
50. #16811296C22semidirect
52. Q8×C22⋊D53C22semidirect
53. #16811284C22semidirect
55. #16811273C22semidirect
56. #16811272C22semidirect
58. #16811261C22semidirect
59. #16811260C22semidirect
61. #16811251C22semidirect
62. #16811251C22semidirect
63. #16811246C22semidirect
64. #16811242C22semidirect
65. #16811242C22semidirect
66. #16811240C22semidirect
67. #16811234C22semidirect
68. #16811233C22semidirect
69. #16811227C22semidirect
70. #16811226C22semidirect
71. #16811217C22semidirect
72. #16811208C22semidirect
74. #16811201C22semidirect
75. #16811197C22semidirect
77. #16811180C22semidirect
78. #16811178C22semidirect
79. #16811178C22semidirect
80. #16811175C22semidirect
81. #16811171C22semidirect
82. #16811171C22semidirect
83. #16811168C22semidirect
84. #16811159C22semidirect
85. #16811155C22semidirect
86. #16811155C22semidirect
87. #16811154C22semidirect
88. #16811154C22semidirect
89. #16811154C22semidirect
90. #16811152C22semidirect
91. #16811152C22semidirect
92. #16811152C22semidirect
93. #16811152C22semidirect
94. #16811152C22semidirect
95. #16811152C22semidirect
96. #16811152C22semidirect
97. #16811152C22semidirect
98. #16811152C22semidirect
99. #16811152C22semidirect
100. #16811152C22semidirect
101. #16811150C22semidirect
102. C2×#13133210C22semidirect
103. C2×#13133209C22semidirect
104. #16811133C22semidirect
105. #16811133C22semidirect
107. #16811130C22semidirect
108. #16811129C22semidirect
109. C2×#13133199C22semidirect
110. C2×#13133193C22semidirect
114. #16811106C22semidirect
115. #16811106C22semidirect
116. #16811106C22semidirect
117. #16811106C22semidirect
118. #16811101C22semidirect
119. #16811101C22semidirect
120. #16811098C22semidirect
121. #16811098C22semidirect
123. #41×Dic53C22semidirect
124. #41×Dic53C22semidirect
125. #41×Dic53C22semidirect
126. #41×Dic53C22semidirect
127. C4×#11719949C22semidirect
128. C4×#11719949C22semidirect
129. C4×#11719945C22semidirect
130. #16811091C22semidirect
131. C4×#11719947C22semidirect
132. C4×#11719947C22semidirect
133. C4×#11719947C22semidirect
134. C4×#11719947C22semidirect
135. C2×Q8×Dic53C22semidirect
136. C2×Q8×Dic53C22semidirect
137. C4×Q8×D53C22semidirect
138. C4×Q8×D53C22semidirect
139. C2×D4×Dic53C22semidirect
140. C2×D4×Dic53C22semidirect
141. C2×#13133177C22semidirect
142. C4×D4×D53C22semidirect
143. C4×D4×D53C22semidirect
144. C2×#13133173C22semidirect
145. #117×D53C22semidirect
146. C2×C42×D53C22semidirect
149. C53×#548C22semidirect
150. C53×#548C22semidirect
151. C53×#546C22semidirect
152. C53×#546C22semidirect
153. C53×#536C22semidirect
154. C53×#535C22semidirect
155. C53×#532C22semidirect
156. C2×#124×C53C22semidirect
407. #41×C53#41semidirect
679. #3500D53semidirect
736. #548C2×D53semidirect
737. #548C2×D53semidirect
743. #546C2×D53semidirect
744. #546C2×D53semidirect
761. #536C2×D53semidirect
763. #535C2×D53semidirect
771. #532C2×D53semidirect
792. C2×#124C2×D53semidirect
837. C53#62810semidirect
1092. #41#11719947semidirect

Maximal subgroups

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

subgroupindex
#202888172
#202887722
#202887012
#202886442
#202886352
#202886092
#202885412
#202884642
#202884472
#202883882
#202883772
#202883312
#202883202
#202883052
#202882662
#202881392
#202881282
#202880102
C2×#168111522
2−1+4×Dic532
H(5,𝔽2)×Dic532
C4×#41×D532
C53×#35002
#6281053