Finite Group Databasebeta

← #28293283

Subgroups — #28293283

Order 13568.

7310 conjugacy classes of subgroups.

The subgroup lattice has 1366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288825C212yesmaximal, complemented
2#20288817C212yesmaximal, complemented
3#20288738C216yesmaximal, complemented
4#20288734C216yesmaximal, complemented
5#20288716C212yesmaximal, complemented
6#20288712C212yesmaximal, complemented
7#20288656C216yesmaximal, complemented
8#20288644C216yesmaximal, complemented
9#20288636C213yesmaximal, complemented
10#20288590C213yesmaximal, complemented
11#20288537C211yesmaximal, characteristic, complemented
12#20288489C211yesmaximal, characteristic, complemented
13#20288452C213yesmaximal, complemented
14#20288444C213yesmaximal, complemented
15#20288384C211yesmaximal, characteristic, complemented
16#20288132C213yesmaximal, complemented
17#20288128C213yesmaximal, complemented
18#20288103C213yesmaximal, complemented
19C2×#16811226C213yesmaximal, complemented
20H(5,𝔽2)×Dic53C211yesmaximal, characteristic, complemented
21#20287921C211yesmaximal, characteristic, complemented
22#20287918C211yesmaximal, characteristic, complemented
23C53×#3488C211yesmaximal, characteristic, complemented
24C2×#13133263C2211yescharacteristic
25#16811355C2216yescomplemented
26#16811355C2216yescomplemented
27#16811352C2212yescomplemented
28#16811349C2212yescomplemented
29#16811338C2216yescomplemented
30#16811337C2216yescomplemented
31#16811332C2216yescomplemented
32#16811330C2216yescomplemented
33#16811325C22112yescomplemented
34#16811325C2216yescomplemented
35#16811325C2216yescomplemented
36#16811320C2216yescomplemented
37#16811320C2216yescomplemented
38#16811319C2216yescomplemented
39#16811319C2216yescomplemented
40#16811316C22112yescomplemented
41#16811315C2216yescomplemented
42#16811307C2216yescomplemented
43#16811299C22112yescomplemented
44#16811296C22112yescomplemented
45#16811293C2216yescomplemented
46#16811293C2216yescomplemented
47#16811292C2212yescomplemented
48#16811292C2212yescomplemented
49#16811292C2212yescomplemented
50#16811284C2212yescomplemented
51#16811277C2216yescomplemented
52#16811273C2216yescomplemented
53#16811267C22112yescomplemented
54#16811261C2216yescomplemented
55#16811260C22112yescomplemented
56#16811260C22112yescomplemented
57#16811260C22112yescomplemented
58D4×C22⋊D53C2216yescomplemented
59D4×C22⋊D53C2216yescomplemented
60D4×C22⋊D53C2216yescomplemented
61#16811254C2213yescomplemented
62#16811251C2213yescomplemented
63#16811246C2216yescomplemented
64#16811246C2213yescomplemented
65#16811246C2213yescomplemented
66#16811242C2216yescomplemented
67#16811240C2213yescomplemented
68#16811240C2213yescomplemented
69#16811233C2211yescharacteristic, complemented
70#16811233C2213yescomplemented
71#16811227C2216yescomplemented
72#16811226C2216yescomplemented
73#16811226C2216yescomplemented
74#16811226C2213yescomplemented
75#16811226C2216yescomplemented
76#16811226C2216yescomplemented
77#16811226C2216yescomplemented
78#16811226C2216yescomplemented
79#16811226C2216yescomplemented
80#16811226C2213yescomplemented
81#16811226C2216yescomplemented
82#16811217C2216yescomplemented
83#16811217C2216yescomplemented
84#16811210C22112yescomplemented
85#16811208C2216yescomplemented
86#16811208C2216yescomplemented
87#16811208C22112yescomplemented
88#16811201C2213yescomplemented
89#16811190C2213yescomplemented
90#16811187C2213yescomplemented
91#16811187C2213yescomplemented
92#16811176C2213yescomplemented
93#16811171C2216yescomplemented
94#16811169C2213yescomplemented
95#16811168C2216yescomplemented
96#16811168C2216yescomplemented
97#16811168C2216yescomplemented
98C2×#13133213C2213yescomplemented
99#16811159C2216yescomplemented
100#16811159C2216yescomplemented
101#16811155C2216yescomplemented
102#16811155C2216yescomplemented
103#16811154C2216yescomplemented
104#16811153C2216yescomplemented
105#16811153C2216yescomplemented
106#16811152C2216yescomplemented
107C2×#13133208C2213yescomplemented
108#16811134C2213yescomplemented
109#16811133C22112yescomplemented
110#16811129C22112yescomplemented
111C2×#13133201C2216yescomplemented
112C2×#13133199C2216yescomplemented
113C2×#13133191C2213yescomplemented
114C2×#13133189C2216yescomplemented
115C2×#13133188C2216yescomplemented
116#16811106C2211yescharacteristic
117#16811106C2212yescomplemented
118#16811106C2213yescomplemented
119#16811106C2213yescomplemented
120#16811106C2213yescomplemented
121#16811106C2211yescharacteristic, complemented
122#16811106C2211yescharacteristic, complemented
123#16811105C2212yescomplemented
124#16811104C2213yescomplemented
125#16811101C2211yescharacteristic, complemented
126#16811101C2211yescharacteristic, complemented
127#16811098C2213yescomplemented
128#16811098C2216yescomplemented
129#16811098C2213yescomplemented
130#16811098C2213yescomplemented
131#16811097C2213yescomplemented
132#16811095C2216yescomplemented
133#41×Dic53C2211yescharacteristic
134#41×Dic53C2211yescharacteristic
135#41×Dic53C2212yescomplemented
136#41×Dic53C2213yescomplemented
137#41×Dic53C2213yescomplemented
138#41×Dic53C2213yescomplemented
139C4×#11719949C2212yescomplemented
140#16811091C2213yescomplemented
141C2×D4×Dic53C2213yescomplemented
142C2×D4×Dic53C2216yescomplemented
143C2×#13133179C2213yescomplemented
144C4×D4×D53C2216yescomplemented
145C2×#13133176C2213yescomplemented
146C2×#13133176C2213yescomplemented
147C2×H(5,𝔽2)×C53C2211yescharacteristic
148C22×#41×C53C2211yescharacteristic
149C53×#550C2212yescomplemented
150C53×#548C2212yescomplemented
151C53×#546C2216yescomplemented
152D42×C53C2216yescomplemented
153C53×#537C2213yescomplemented
154C53×#535C2213yescomplemented
155C53×#525C2213yescomplemented
156C2×#121×C53C2213yescomplemented
157C53×#520C2211yescharacteristic
158#13133263—28no—
159C2×#11719949C2312yes—
160C2×#11719945C2313yes—
161C2×#11719947C23112yes—
162C2×#11719947C23112yes—
163C22×D212C2313yes—
164C22×C22⋊D53C2316yes—
165C22×C22⋊D53C2316yes—
166C22×C22⋊D53C2316yes—
167C2×D4×D53C2316yes—
168C23×Dic53C2316yes—
169C22×C4×D53C2316yes—
170#13133217C2316yes—
171#13133216C2316yes—
172#13133216C2313yes—
173#13133216C2313yes—
174#13133215C2311yescharacteristic
175#13133213C2316yes—
176#13133213C2316yes—
177#13133213C2316yes—
178#13133213C2313yes—
179#13133213C2316yes—
180#13133212C2316yes—
181#13133212C23112yes—
182#13133212C2316yes—
183#13133210C2316yes—
184#13133210C23112yes—
185#13133210C2316yes—
186#13133210C2316yes—
187#13133210C2316yes—
188#13133210C2312yes—
189#13133210C2312yes—
190#13133209C2316yes—
191#13133208C2316yes—
192#13133208C2316yes—
193#13133208C2316yes—
194#13133208C2316yes—
195#13133208C2313yes—
196#13133208C2316yes—
197#13133208C2312yes—
198#13133208C2311yescharacteristic
199#13133207C2316yes—
200#13133207C2312yes—
201#13133206C2316yes—
202#13133206C2313yes—
203#13133204C2316yes—
204#13133204C2313yes—
205#13133204C2316yes—
206#13133203C23112yes—
207#13133203C23112yes—
208#13133203C2316yes—
209#13133203C2316yes—
210#13133201C23112yes—
211#13133201C23112yes—
212#13133201C23112yes—
213#13133201C2316yes—
214#13133201C2316yes—
215#13133201C23112yes—
216#13133200C2316yes—
217#13133199C23112yes—
218#13133199C23112yes—
219#13133199C2316yes—
220#13133199C2316yes—
221#13133199C2316yes—
222#13133199C23112yes—
223#13133199C2316yes—
224#13133198C2316yes—
225#13133198C23112yes—
226#13133198C2316yes—
227#13133197C2316yes—
228#13133197C2316yes—
229#13133196C23112yes—
230#13133196C2311yescharacteristic
231#13133196C2313yes—
232#13133194C2316yes—
233#13133194C23112yes—
234#13133194C2316yes—
235#13133194C2316yes—
236#13133194C2316yes—
237#13133193C2316yes—
238#13133191C2316yes—
239#13133191C2316yes—
240#13133191C2316yes—
241#13133191C2316yes—
242#13133191C2313yes—
243#13133191C2316yes—
244#13133191C2313yes—
245#13133189C23112yes—
246#13133189C23112yes—
247#13133189C2316yes—
248#13133189C23112yes—
249#13133189C23112yes—
250#13133189C2316yes—
251#13133189C23112yes—
252#13133189C2316yes—
253#13133189C2316yes—
254#13133189C23112yes—
255#13133188C23112yes—
256#13133188C2316yes—
257#13133188C2316yes—
258#13133188C2316yes—
259#13133188C2316yes—
260#13133188C23112yes—
261#13133188C2316yes—
262#13133188C23112yes—
263#13133186C2316yes—
264#13133186C23112yes—
265#13133185C23112yes—
266#13133185C23112yes—
267Q8×Dic53C2312yes—
268Q8×Dic53C2311yescharacteristic
269Q8×Dic53C2311yescharacteristic
270Q8×Dic53C2313yes—
271Q8×Dic53C2313yes—
272Q8×Dic53C2311yescharacteristic
273Q8×Dic53C2311yescharacteristic
274Q8×Dic53C2311yescharacteristic
275Q8×Dic53C2313yes—
276Q8×Dic53C2313yes—
277Q8×Dic53C2313yes—
278C4×Dic106C2316yes—
279C4×Dic106C2316yes—
280#13133182C2311yescharacteristic
281#13133182C2313yes—
282C4×D212C2316yes—
283C4×D212C2316yes—
284D4×Dic53C23112yes—
285D4×Dic53C2316yes—
286D4×Dic53C2313yes—
287D4×Dic53C2313yes—
288D4×Dic53C2316yes—
289D4×Dic53C23112yes—
290D4×Dic53C2316yes—
291D4×Dic53C2316yes—
292D4×Dic53C2313yes—
293D4×Dic53C2316yes—
294D4×Dic53C2313yes—
295D4×Dic53C2313yes—
296D4×Dic53C2313yes—
297D4×Dic53C2316yes—
298D4×Dic53C2313yes—
299D4×Dic53C2316yes—
300D4×Dic53C2316yes—
301D4×Dic53C2316yes—
302D4×Dic53C2316yes—
303D4×Dic53C2313yes—
304D4×Dic53C2316yes—
305D4×Dic53C2316yes—
306D4×Dic53C2313yes—
307D4×Dic53C2313yes—
308#13133179C2316yes—
309#13133179C2313yes—
310#13133179C2316yes—
311#13133179C2316yes—
312#13133179C2313yes—
313C4×C22⋊D53C23112yes—
314C4×C22⋊D53C2316yes—
315C4×C22⋊D53C2316yes—
316C4×C22⋊D53C2316yes—
317C4×C22⋊D53C2316yes—
318#13133177C23112yes—
319#13133177C23112yes—
320#13133177C23112yes—
321#13133177C2316yes—
322#13133177C2316yes—
323#13133176C2316yes—
324#13133176C2316yes—
325#13133176C2313yes—
326#13133176C2313yes—
327#13133176C2311yescharacteristic
328#13133176C2313yes—
329#13133176C2313yes—
330#13133176C2313yes—
331#13133176C2313yes—
332#13133176C2313yes—
333#13133176C2313yes—
334#13133176C2313yes—
335#13133176C2313yes—
336#13133176C2313yes—
337#13133176C2313yes—
338#13133176C2316yes—
339#13133175C23112yes—
340#13133175C2316yes—
341#13133174C2316yes—
342#13133173C23112yes—
343C2×C4⋊Dic53C2313yes—
344C2×C4⋊Dic53C2313yes—
345C2×C4⋊Dic53C2316yes—
346C2×C4⋊Dic53C2316yes—
347C2×C4⋊Dic53C2313yes—
348C2×C4⋊Dic53C2313yes—
349C2×C4⋊Dic53C2313yes—
350C2×#11719919C2316yes—
351C4⋊C4×D53C2316yes—
352C2×C22⋊Dic53C2316yes—
353C2×C22⋊Dic53C23112yes—
354C2×C22⋊Dic53C2313yes—
355C2×C22⋊Dic53C2313yes—
356C2×C22⋊Dic53C2316yes—
357C2×#11719921C2316yes—
358C2×#11719921C2316yes—
359C22⋊C4×D53C23112yes—
360C2×C4×Dic53C2313yes—
361C2×C4×Dic53C2313yes—
362C2×C4×Dic53C2316yes—
363C2×C4×Dic53C2316yes—
364C42×D53C2316yes—
365H(5,𝔽2)×C53—28no—
366C2×#41×C53—28no—
367C2×#41×C53C2312yes—
368C2×#41×C53C2311yescharacteristic
369C2×#41×C53C2313yes—
370C2×#41×C53C2313yes—
371C2×#41×C53C2313yes—
372C2×#41×C53C2311yescharacteristic
373C22×Q8×C53C2311yescharacteristic
374C22×D4×C53C2313yes—
375C22×D4×C53C2313yes—
376C22×D4×C53C2316yes—
377C22×D4×C53C2316yes—
378C23×C4×C53C2313yes—
379#127×C53C2316yes—
380#124×C53C2316yes—
381#123×C53C2316yes—
382C22⋊Q8×C53C2311yescharacteristic
383C22⋊Q8×C53C2313yes—
384C22⋊Q8×C53C2316yes—
385#121×C53C2316yes—
386#121×C53C2313yes—
387#121×C53C2316yes—
388#121×C53C2316yes—
389#121×C53C2313yes—
390#121×C53C23112yes—
391#121×C53C2316yes—
392#120×C53C2316yes—
393#120×C53C23112yes—
394C4×Q8×C53C2312yes—
395C4×D4×C53C2316yes—
396C4×D4×C53C2316yes—
397C4×D4×C53C2316yes—
398#117×C53C2313yes—
399C2×C4⋊C4×C53C2313yes—
400C2×C22⋊C4×C53C2316yes—
401C24×C53C2416yes—
402C24×C53C2413yes—
403C23×D53C2416yes—
404#41×C53—24no—
405#41×C53—28no—
406#41×C53—212no—
407#41×C53—212no—
408#41×C53—212no—
409#41×C53#4118yescomplemented
410C2×Q8×C53—24no—
411C2×Q8×C53C2411yescharacteristic
412C2×Q8×C53C2413yes—
413C2×Q8×C53C2411yescharacteristic
414C2×D4×C53—212no—
415C2×D4×C53—224no—
416C2×D4×C53—212no—
417C2×D4×C53—86no—
418C2×D4×C53C2416yes—
419C2×D4×C53C2416yes—
420C2×D4×C53C2413yes—
421C2×D4×C53C2416yes—
422C2×D4×C53C2413yes—
423C2×D4×C53C2416yes—
424C2×D4×C53C2416yes—
425C2×D4×C53C24112yes—
426C2×D4×C53C2413yes—
427C22×C4×C53—212no—
428C22×C4×C53C2413yes—
429C22×C4×C53C2413yes—
430C22×C4×C53C2413yes—
431C22×C4×C53C2416yes—
432C22×C4×C53C2411yescharacteristic
433C22×C4×C53C2413yes—
434C22×C4×C53C2416yes—
435C22×C4×C53C2413yes—
436C2×C22⋊D53—86no—
437C2×C22⋊D53—86no—
438C2×C22⋊D53—86no—
439C2×C22⋊D53C2416yes—
440C2×C22⋊D53C24112yes—
441C2×C22⋊D53C24112yes—
442C2×C22⋊D53C24112yes—
443C2×C22⋊D53C2416yes—
444C2×C22⋊D53C2416yes—
445C2×C22⋊D53C2416yes—
446C2×C22⋊D53C2416yes—
447C22×Dic53—86no—
448C22×Dic53C2413yes—
449C22×Dic53C2413yes—
450C22×Dic53C2416yes—
451C22×Dic53C2413yes—
452C22×Dic53C2413yes—
453C22×Dic53C2416yes—
454C22×Dic53C2416yes—
455C22×Dic53C2416yes—
456C22×Dic53C2416yes—
457C22×Dic53C24112yes—
458#11719949—28no—
459#11719947—812no—
460#11719947—812no—
461D4×D53—224no—
462#11719945—212no—
463C2×D212—212no—
464C2×D212C2413yes—
465C2×D212C2416yes—
466C2×C4×D53—86no—
467C2×C4×D53C2416yes—
468C2×C4×D53C2416yes—
469C2×C4×D53C2416yes—
470C2×C4×D53C24112yes—
471C2×Dic106C2411yescharacteristic
472C2×Dic106C2416yes—
473C2×Dic106C2416yes—
474C4⋊C4×C53C2413yes—
475C4⋊C4×C53C2416yes—
476C4⋊C4×C53C2411yescharacteristic
477C4⋊C4×C53C2412yes—
478C4⋊C4×C53C2416yes—
479C22⋊C4×C53C2416yes—
480C22⋊C4×C53C24112yes—
481C22⋊C4×C53C2416yes—
482C22⋊C4×C53C2412yes—
483C22⋊C4×C53C2416yes—
484C22⋊C4×C53C2416yes—
485C42×C53C2416yes—
486C22⋊Dic53C2416yes—
487C22⋊Dic53C2411yescharacteristic
488C22⋊Dic53C2413yes—
489C22⋊Dic53C2411yescharacteristic
490C22⋊Dic53C2413yes—
491C22⋊Dic53C2416yes—
492C22⋊Dic53C2416yes—
493C22⋊Dic53C24112yes—
494C22⋊Dic53C2416yes—
495C22⋊Dic53C2416yes—
496C22⋊Dic53C2413yes—
497C22⋊Dic53C2413yes—
498C22⋊Dic53C2413yes—
499C22⋊Dic53C2413yes—
500C22⋊Dic53C2416yes—
501C22⋊Dic53C2412yes—
502C22⋊Dic53C2416yes—
503C22⋊Dic53C2416yes—
504#11719921C2416yes—
505#11719921C24112yes—
506#11719921C2416yes—
507#11719921C2416yes—
508#11719921C24112yes—
509#11719921C2416yes—
510#11719921C2416yes—
511#11719921C2416yes—
512C4⋊Dic53C2413yes—
513C4⋊Dic53C2413yes—
514C4⋊Dic53C2413yes—
515C4⋊Dic53C2413yes—
516C4⋊Dic53C2411yescharacteristic
517C4⋊Dic53C2411yescharacteristic
518C4⋊Dic53C2416yes—
519C4⋊Dic53C2413yes—
520C4⋊Dic53C2416yes—
521C4⋊Dic53C2416yes—
522C4⋊Dic53C24112yes—
523C4⋊Dic53C2413yes—
524C4⋊Dic53C2413yes—
525C4⋊Dic53C2413yes—
526C4⋊Dic53C2413yes—
527C4⋊Dic53C2413yes—
528C4⋊Dic53C2413yes—
529C4⋊Dic53C2411yescharacteristic
530C4⋊Dic53C2412yes—
531C4⋊Dic53C2412yes—
532#11719919C2416yes—
533#11719919C2416yes—
534#11719919C24112yes—
535#11719919C2416yes—
536#11719919C2412yes—
537#11719919C2416yes—
538#11719919C2416yes—
539#11719919C2412yes—
540#11719919C2412yes—
541#11719919C2412yes—
542#11719919C2412yes—
543C4×Dic53C2412yes—
544C4×Dic53C2413yes—
545C4×Dic53C2416yes—
546C4×Dic53C2413yes—
547C4×Dic53C2411yescharacteristic
548C4×Dic53C2413yes—
549C4×Dic53C2413yes—
550C4×Dic53C2411yescharacteristic
551C4×Dic53C2412yes—
552C4×Dic53C2416yes—
553C4×Dic53C2416yes—
554C4×Dic53C2416yes—
555C4×Dic53C2416yes—
556C4×Dic53C2413yes—
557C4×Dic53C2413yes—
558C23×C53—26no—
559C23×C53—212no—
560C23×C53—46no—
561C23×C53—43no—
562C23×C53—46no—
563C23×C53—43no—
564C23×C53C2513yes—
565C23×C53C2516yes—
566C23×C53C2511yescharacteristic
567C23×C53C2513yes—
568C22×D53—212no—
569C22×D53—46no—
570C22×D53—46no—
571C22×D53C2516yes—
572Q8×C53—26no—
573Q8×C53—22no—
574Q8×C53C2×#4114yes—
575D4×C53—212no—
576D4×C53—212no—
577D4×C53—26no—
578D4×C53—212no—
579D4×C53—26no—
580D4×C53—46no—
581D4×C53—412no—
582D4×C53—46no—
583D4×C53C2×#41112yes—
584C2×C4×C53—26no—
585C2×C4×C53—22no—
586C2×C4×C53—26no—
587C2×C4×C53—26no—
588C2×C4×C53—26no—
589C2×C4×C53—212no—
590C2×C4×C53—46no—
591C2×C4×C53C2×#41112yes—
592C2×C4×C53C2512yes—
593C2×C4×C53C2516yes—
594C2×C4×C53C2511yescharacteristic
595C2×C4×C53C2512yes—
596C2×C4×C53C2513yes—
597C2×C4×C53C2511yescharacteristic
598C2×C4×C53C2513yes—
599C22⋊D53—212no—
600C22⋊D53—46no—
601C22⋊D53—412no—
602C22⋊D53—412no—
603C22⋊D53—412no—
604C22⋊D53—46no—
605C22⋊D53—46no—
606C22⋊D53—46no—
607C2×Dic53—43no—
608C2×Dic53—46no—
609C2×Dic53—46no—
610C2×Dic53—46no—
611C2×Dic53—412no—
612C2×Dic53—46no—
613C2×Dic53—43no—
614C2×Dic53—46no—
615C2×Dic53—43no—
616C2×Dic53—43no—
617C2×Dic53C2512yes—
618C2×Dic53C2513yes—
619C2×Dic53C2513yes—
620C2×Dic53C2512yes—
621C2×Dic53C2516yes—
622C2×Dic53C2511yescharacteristic
623C2×Dic53C2513yes—
624C2×Dic53C2513yes—
625C2×Dic53C2511yescharacteristic
626C2×Dic53C2511yescharacteristic
627C2×Dic53C2511yescharacteristic
628D212—26no—
629D212—212no—
630C4×D53—212no—
631C4×D53—46no—
632C4×D53—412no—
633C4×D53—46no—
634Dic106—22no—
635Dic106—46no—
636Dic106—46no—
637#62858—531nomaximal, Sylow
638C22×C53—23no—
639C22×C53—23no—
640C22×C53—21no—
641C22×C53—23no—
642C22×C53—26no—
643C22×C53—26no—
644C22×C53—23no—
645C22×C53—23no—
646C22×C53—26no—
647C22×C53—21no—
648C22×C53—21no—
649C22×C53—86no—
650C22×C53—812no—
651C22×C53C22×#4116yes—
652C22×C53C2611yescharacteristic
653C2×D53—26no—
654C2×D53—26no—
655C2×D53—26no—
656C2×D53—812no—
657C4×C53—21no—
658C4×C53—22no—
659C4×C53—23no—
660C4×C53—22no—
661C4×C53—26no—
662C4×C53C22×#4112yes—
663C4×C53C22×#4116yes—
664Dic53—22no—
665Dic53—22no—
666Dic53—23no—
667Dic53—23no—
668Dic53—26no—
669Dic53—21no—
670Dic53—23no—
671Dic53—23no—
672Dic53—21no—
673Dic53—21no—
674Dic53—21no—
675#3524—532no—
676#3524—532no—
677#3519—536no—
678#3519—536no—
679#3517—532no—
680#3517—532no—
681#3513—536no—
682#3513—536no—
683#3512—533no—
684#3508—533no—
685#3504—531no—
686#3498—531no—
687#3494—533no—
688#3494—533no—
689#3488—531no—
690#3488D5311yescharacteristic, complemented
691#3460—533no—
692#3460—533no—
693#3455—533no—
694C2×#540—533no—
695C4×H(5,𝔽2)—531no—
696C4×H(5,𝔽2)—531no—
697#3428—531no—
698C2×C53—26no—
699C2×C53—43no—
700C2×C53—46no—
701C2×C53—41no—
702C2×C53C23×#4111yescharacteristic
703C2×C53H(7,𝔽2)11yescharacteristic
704C2×C53H(7,𝔽2)11yescharacteristic
705D53—46no—
706C2×H(5,𝔽2)—531no—
707C2×H(5,𝔽2)C2×D5311yescharacteristic
708C22×#41C2×D5311yescharacteristic
709#559—536no—
710#559—536no—
711#557—532no—
712#557—532no—
713#555—536no—
714#555—536no—
715#554—536no—
716#554—536no—
717#553—5312no—
718#553—536no—
719#553—536no—
720#553—536no—
721#553—5312no—
722#553—536no—
723#553—536no—
724#553—536no—
725#552—536no—
726#552—536no—
727#551—5312no—
728#551—5312no—
729#550—532no—
730#550—532no—
731#550—532no—
732#550—536no—
733#550—536no—
734#550C2×D5312yescomplemented
735#548—532no—
736#548C2×D5312yescomplemented
737#547—536no—
738#547—536no—
739#546—536no—
740#546—5312no—
741#546—5312no—
742#546—5312no—
743#546—5312no—
744#546C2×D5316yescomplemented
745D42—536no—
746D42—536no—
747D42—536no—
748D42C2×D5316yescomplemented
749#544—533no—
750#544—533no—
751#542—536no—
752#542—533no—
753#542—533no—
754#542—536no—
755#542—533no—
756#542—533no—
757#541—531no—
758#541—533no—
759#540—536no—
760#540—533no—
761#540—536no—
762#540—536no—
763#540—536no—
764#540—536no—
765#540—536no—
766#540—536no—
767#540—536no—
768#540—533no—
769#540—536no—
770#539—536no—
771#539—536no—
772#538—5312no—
773#538—536no—
774#538—536no—
775#538—5312no—
776#537—533no—
777#537C2×D5313yescomplemented
778#535—533no—
779#535—533no—
780#535—533no—
781#535C2×D5313yescomplemented
782#533—533no—
783#532—533no—
784#532—536no—
785#532—536no—
786#532—536no—
787#532—536no—
788C2×#127—533no—
789#529—536no—
790#529—536no—
791#529—536no—
792#529—536no—
793#529—536no—
794#529—536no—
795#529—536no—
796#529—536no—
797C2×#125—533no—
798#525—533no—
799#525—5312no—
800#525—5312no—
801#525C2×D5313yescomplemented
802C2×#123—536no—
803C2×#123—536no—
804C2×#121—536no—
805C2×#121—536no—
806C2×#121—533no—
807C2×#121C2×D5313yescomplemented
808#520—531no—
809#520—533no—
810#520—533no—
811#520—531no—
812#520—531no—
813#520—533no—
814#520—532no—
815#520—532no—
816#520—533no—
817#520C2×D5311yescharacteristic
818#519—531no—
819#519—531no—
820#518—533no—
821#518—533no—
822#518—533no—
823#518—536no—
824#518—536no—
825#518—533no—
826C4×#41—531no—
827C4×#41—531no—
828C4×#41—533no—
829C4×#41—533no—
830C4×#41—533no—
831C4×#41—532no—
832C4×#41—532no—
833C4×#41—533no—
834C2×C4×D4—533no—
835C2×C4×D4—536no—
836C2×C4×D4—536no—
837C2×C4×D4—533no—
838C2×#117—533no—
839C2×#117—533no—
840C53#6285811yescharacteristic, complemented, Sylow
841H(5,𝔽2)—28no—
842H(5,𝔽2)—1068no—
843C2×#41—28no—
844C2×#41—532no—
845C2×#41—5312no—
846C2×#41—5312no—
847C2×#41—533no—
848C2×#41C22×D5313yes—
849C2×#41C22×D5313yes—
850C2×#41C22×D5312yes—
851C2×#41C22×D5313yes—
852C2×#41C22×D5311yescharacteristic
853C2×#41C22×D5311yescharacteristic
854C22×Q8C22×D5311yescharacteristic
855C22×D4—536no—
856C22×D4—536no—
857C22×D4—536no—
858C22×D4—536no—
859C22×D4—533no—
860C22×D4C22×D5313yes—
861C22×D4C22×D5316yes—
862C22×D4C22×D5313yes—
863C22×D4C22×D5316yes—
864C23×C4—536no—
865C23×C4—536no—
866C23×C4C22×D5313yes—
867C4⋊Q8—531no—
868C4⋊Q8—533no—
869C4⋊Q8—533no—
870C4⋊Q8—536no—
871C4⋊Q8—536no—
872#127—533no—
873#127—536no—
874#127—536no—
875#127—536no—
876#127—536no—
877#127C22×D5316yes—
878#126—536no—
879#126—5312no—
880#126—536no—
881#126—532no—
882#126—532no—
883#126—536no—
884#126—536no—
885#126—536no—
886#126—5312no—
887#126—536no—
888#125—533no—
889#125—536no—
890#125—536no—
891#125—536no—
892#125—532no—
893#125—532no—
894#125—536no—
895#125—536no—
896#125—536no—
897#125—531no—
898#125—536no—
899#124—533no—
900#124—536no—
901#124—533no—
902#124—536no—
903#124—536no—
904#124—536no—
905#124—536no—
906#124—5312no—
907#124—5312no—
908#124C22×D5316yes—
909#123—536no—
910#123—5312no—
911#123—536no—
912#123—536no—
913#123—536no—
914#123—536no—
915#123—5312no—
916#123—5312no—
917#123—5312no—
918#123—5312no—
919#123—5312no—
920#123—5312no—
921#123—536no—
922#123—5312no—
923#123—536no—
924#123—536no—
925#123—536no—
926#123C22×D5316yes—
927C22⋊Q8—536no—
928C22⋊Q8—531no—
929C22⋊Q8—533no—
930C22⋊Q8—5312no—
931C22⋊Q8—536no—
932C22⋊Q8—536no—
933C22⋊Q8—536no—
934C22⋊Q8—5312no—
935C22⋊Q8—536no—
936C22⋊Q8—536no—
937C22⋊Q8—536no—
938C22⋊Q8C22×D5311yescharacteristic
939C22⋊Q8C22×D5313yes—
940C22⋊Q8C22×D5316yes—
941#121—536no—
942#121—536no—
943#121—5312no—
944#121—5312no—
945#121—5312no—
946#121—5312no—
947#121—5312no—
948#121—5312no—
949#121—5312no—
950#121—536no—
951#121—536no—
952#121—536no—
953#121—536no—
954#121—536no—
955#121—536no—
956#121—536no—
957#121—5312no—
958#121—5312no—
959#121—533no—
960#121—536no—
961#121—536no—
962#121—536no—
963#121—533no—
964#121—536no—
965#121—536no—
966#121C22×D5313yes—
967#121C22×D5316yes—
968#121C22×D5316yes—
969#121C22×D5316yes—
970#121C22×D53112yes—
971#121C22×D5313yes—
972#121C22×D5316yes—
973#120—5312no—
974#120—536no—
975#120—5312no—
976#120—5312no—
977#120C22×D53112yes—
978#120C22×D5316yes—
979C4×Q8—531no—
980C4×Q8—531no—
981C4×Q8—531no—
982C4×Q8—533no—
983C4×Q8—533no—
984C4×Q8—531no—
985C4×Q8—531no—
986C4×Q8—533no—
987C4×Q8—533no—
988C4×Q8—533no—
989C4×Q8—532no—
990C4×Q8—531no—
991C4×Q8—533no—
992C4×Q8—536no—
993C4×Q8—536no—
994C4×Q8C22×D5312yes—
995C4×D4—533no—
996C4×D4—533no—
997C4×D4—536no—
998C4×D4—536no—
999C4×D4—533no—
1000C4×D4—536no—
1001C4×D4—536no—
1002C4×D4—536no—
1003C4×D4—5312no—
1004C4×D4—536no—
1005C4×D4—536no—
1006C4×D4—533no—
1007C4×D4—536no—
1008C4×D4—536no—
1009C4×D4—536no—
1010C4×D4—533no—
1011C4×D4—533no—
1012C4×D4—533no—
1013C4×D4—533no—
1014C4×D4—536no—
1015C4×D4—536no—
1016C4×D4—533no—
1017C4×D4—533no—
1018C4×D4—5312no—
1019C4×D4—5312no—
1020C4×D4—536no—
1021C4×D4—536no—
1022C4×D4—536no—
1023C4×D4—536no—
1024C4×D4—536no—
1025C4×D4—533no—
1026C4×D4—536no—
1027C4×D4—536no—
1028C4×D4—533no—
1029C4×D4—536no—
1030C4×D4—536no—
1031C4×D4—5312no—
1032C4×D4—5312no—
1033C4×D4—5312no—
1034C4×D4—536no—
1035C4×D4—536no—
1036C4×D4C22×D5316yes—
1037C4×D4C22×D5316yes—
1038C4×D4C22×D5316yes—
1039#117—531no—
1040#117—533no—
1041#117—533no—
1042#117—533no—
1043#117—533no—
1044#117—533no—
1045#117—533no—
1046#117—533no—
1047#117—533no—
1048#117—533no—
1049#117—533no—
1050#117—533no—
1051#117—536no—
1052#117—533no—
1053#117—536no—
1054#117—536no—
1055#117—536no—
1056#117—5312no—
1057#117—5312no—
1058#117—536no—
1059#117C22×D5313yes—
1060C2×C4⋊C4—533no—
1061C2×C4⋊C4—533no—
1062C2×C4⋊C4—533no—
1063C2×C4⋊C4—533no—
1064C2×C4⋊C4—533no—
1065C2×C4⋊C4—536no—
1066C2×C4⋊C4—536no—
1067C2×C4⋊C4—536no—
1068C2×C4⋊C4—536no—
1069C2×C4⋊C4C22×D5313yes—
1070C2×C22⋊C4—533no—
1071C2×C22⋊C4—533no—
1072C2×C22⋊C4—536no—
1073C2×C22⋊C4—536no—
1074C2×C22⋊C4—5312no—
1075C2×C22⋊C4—536no—
1076C2×C22⋊C4—536no—
1077C2×C22⋊C4—5312no—
1078C2×C22⋊C4C22×D5316yes—
1079C2×C42—533no—
1080C2×C42—533no—
1081C2×C42—536no—
1082C2×C42—536no—
1083C2×C42—536no—
1084C24—536no—
1085C24C23×D5313yes—
1086C24C23×D5316yes—
1087#41—24no—
1088#41—28no—
1089#41—212no—
1090#41—212no—
1091#41—212no—
1092#41—1068no—
1093#41—10612no—
1094#41—42412no—
1095#41—42412no—
1096#41#1171994718yescomplemented
1097C2×Q8—24no—
1098C2×Q8—531no—
1099C2×Q8—536no—
1100C2×Q8—536no—
1101C2×Q8C23×D5313yes—
1102C2×Q8C23×D5311yescharacteristic
1103C2×Q8C23×D5311yescharacteristic
1104C2×D4—212no—
1105C2×D4—224no—
1106C2×D4—212no—
1107C2×D4—86no—
1108C2×D4—536no—
1109C2×D4—536no—
1110C2×D4—5312no—
1111C2×D4—5312no—
1112C2×D4—536no—
1113C2×D4—5312no—
1114C2×D4—536no—
1115C2×D4—536no—
1116C2×D4—533no—
1117C2×D4—536no—
1118C2×D4—10624no—
1119C2×D4—10612no—
1120C2×D4—4246no—
1121C2×D4—4246no—
1122C2×D4—4246no—
1123C2×D4C23×D5316yes—
1124C2×D4C23×D5316yes—
1125C2×D4C23×D5316yes—
1126C2×D4C23×D5313yes—
1127C2×D4C23×D5313yes—
1128C2×D4C23×D53112yes—
1129C2×D4C23×D5316yes—
1130C2×D4C23×D5316yes—
1131C2×D4C23×D5313yes—
1132C22×C4—212no—
1133C22×C4—533no—
1134C22×C4—533no—
1135C22×C4—536no—
1136C22×C4—533no—
1137C22×C4—533no—
1138C22×C4—536no—
1139C22×C4—536no—
1140C22×C4—536no—
1141C22×C4—536no—
1142C22×C4—5312no—
1143C22×C4—536no—
1144C22×C4—536no—
1145C22×C4—536no—
1146C22×C4—5312no—
1147C22×C4—4246no—
1148C22×C4—4246no—
1149C22×C4C23×D5313yes—
1150C22×C4C23×D5316yes—
1151C22×C4C23×D5313yes—
1152C22×C4C23×D5313yes—
1153C22×C4C23×D5313yes—
1154C22×C4C23×D5311yescharacteristic
1155C22×C4C23×D5316yes—
1156C22×C4C23×D5313yes—
1157C4⋊C4—533no—
1158C4⋊C4—533no—
1159C4⋊C4—533no—
1160C4⋊C4—533no—
1161C4⋊C4—531no—
1162C4⋊C4—531no—
1163C4⋊C4—533no—
1164C4⋊C4—536no—
1165C4⋊C4—536no—
1166C4⋊C4—536no—
1167C4⋊C4—536no—
1168C4⋊C4—536no—
1169C4⋊C4—533no—
1170C4⋊C4—533no—
1171C4⋊C4—533no—
1172C4⋊C4—533no—
1173C4⋊C4—533no—
1174C4⋊C4—533no—
1175C4⋊C4—5312no—
1176C4⋊C4—5312no—
1177C4⋊C4—531no—
1178C4⋊C4—532no—
1179C4⋊C4—532no—
1180C4⋊C4—536no—
1181C4⋊C4—532no—
1182C4⋊C4—532no—
1183C4⋊C4—532no—
1184C4⋊C4—536no—
1185C4⋊C4—536no—
1186C4⋊C4—532no—
1187C4⋊C4—532no—
1188C4⋊C4C23×D5316yes—
1189C4⋊C4C23×D5313yes—
1190C4⋊C4C23×D5316yes—
1191C4⋊C4C23×D5311yescharacteristic
1192C4⋊C4C23×D5312yes—
1193C22⋊C4—536no—
1194C22⋊C4—531no—
1195C22⋊C4—531no—
1196C22⋊C4—533no—
1197C22⋊C4—533no—
1198C22⋊C4—536no—
1199C22⋊C4—536no—
1200C22⋊C4—5312no—
1201C22⋊C4—536no—
1202C22⋊C4—536no—
1203C22⋊C4—533no—
1204C22⋊C4—533no—
1205C22⋊C4—533no—
1206C22⋊C4—533no—
1207C22⋊C4—536no—
1208C22⋊C4—532no—
1209C22⋊C4—536no—
1210C22⋊C4—536no—
1211C22⋊C4—536no—
1212C22⋊C4—5312no—
1213C22⋊C4—536no—
1214C22⋊C4—536no—
1215C22⋊C4—5312no—
1216C22⋊C4—536no—
1217C22⋊C4—536no—
1218C22⋊C4—536no—
1219C22⋊C4C23×D5316yes—
1220C22⋊C4C23×D5316yes—
1221C22⋊C4C23×D53112yes—
1222C22⋊C4C23×D5316yes—
1223C22⋊C4C23×D5316yes—
1224C22⋊C4C23×D5312yes—
1225C42—531no—
1226C42—533no—
1227C42—533no—
1228C42—533no—
1229C42—533no—
1230C42—531no—
1231C42—532no—
1232C42—532no—
1233C42—536no—
1234C42—536no—
1235C42—536no—
1236C42—536no—
1237C42—536no—
1238C42—533no—
1239C42—533no—
1240C42C23×D5316yes—
1241C23—26no—
1242C23—212no—
1243C23—46no—
1244C23—43no—
1245C23—46no—
1246C23—43no—
1247C23—536no—
1248C23—10612no—
1249C23—2126no—
1250C23—2126no—
1251C23C24×D5311yescharacteristic
1252C23C24×D5316yes—
1253C23C24×D5313yes—
1254C23C24×D5313yes—
1255Q8—26no—
1256Q8—22no—
1257Q8—1062no—
1258Q8—2126no—
1259Q8—2126no—
1260Q8C2×#1171994714yes—
1261D4—212no—
1262D4—212no—
1263D4—212no—
1264D4—26no—
1265D4—26no—
1266D4—46no—
1267D4—412no—
1268D4—46no—
1269D4—10612no—
1270D4—10612no—
1271D4—1066no—
1272D4—2126no—
1273D4—2126no—
1274D4—2126no—
1275D4—21212no—
1276D4—21212no—
1277D4—21212no—
1278D4—2126no—
1279D4C2×#11719947112yes—
1280C2×C4—26no—
1281C2×C4—22no—
1282C2×C4—26no—
1283C2×C4—26no—
1284C2×C4—26no—
1285C2×C4—212no—
1286C2×C4—46no—
1287C2×C4—531no—
1288C2×C4—533no—
1289C2×C4—533no—
1290C2×C4—531no—
1291C2×C4—532no—
1292C2×C4—532no—
1293C2×C4—533no—
1294C2×C4—533no—
1295C2×C4—531no—
1296C2×C4—531no—
1297C2×C4—536no—
1298C2×C4—10612no—
1299C2×C4—2126no—
1300C2×C4—21212no—
1301C2×C4—2126no—
1302C2×C4—2123no—
1303C2×C4—2123no—
1304C2×C4—2126no—
1305C2×C4—2126no—
1306C2×C4—21212no—
1307C2×C4—2123no—
1308C2×C4—2123no—
1309C2×C4—2126no—
1310C2×C4—2126no—
1311C2×C4—2126no—
1312C2×C4C2×#11719947112yes—
1313C2×C4C24×D5313yes—
1314C2×C4C24×D5312yes—
1315C2×C4C24×D5312yes—
1316C2×C4C24×D5316yes—
1317C2×C4C24×D5311yescharacteristic
1318C2×C4C24×D5311yescharacteristic
1319C2×C4C24×D5313yes—
1320C22—23no—
1321C22—23no—
1322C22—21no—
1323C22—23no—
1324C22—26no—
1325C22—23no—
1326C22—26no—
1327C22—21no—
1328C22—26no—
1329C22—23no—
1330C22—21no—
1331C22—86no—
1332C22—812no—
1333C22—1066no—
1334C22—1066no—
1335C22—1066no—
1336C22—42412no—
1337C22C22×#1171994716yes—
1338C22C25×D5311yescharacteristic
1339C4—21no—
1340C4—22no—
1341C4—23no—
1342C4—26no—
1343C4—22no—
1344C4—1062no—
1345C4—1061no—
1346C4—1063no—
1347C4—1061no—
1348C4—1063no—
1349C4—1062no—
1350C4—1063no—
1351C4—1061no—
1352C4—1066no—
1353C4—1061no—
1354C4—1063no—
1355C4C22×#1171994716yes—
1356C4C22×#1171994712yes—
1357C2—26no—
1358C2—41no—
1359C2—46no—
1360C2—43no—
1361C2—2126no—
1362C2C23×#1171994711yescharacteristic
1363C2#2028952511yescharacteristic
1364C2#2028952611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3488C2
hypercenter#3488D53
hypocenterC53#62858
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3488

Complements

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

NH ≅ G/Ntype
1. #20288825C2semidirect
2. #20288817C2semidirect
3. #20288738C2semidirect
4. #20288734C2semidirect
5. #20288716C2semidirect
6. #20288712C2semidirect
7. #20288656C2semidirect
8. #20288644C2semidirect
9. #20288636C2semidirect
10. #20288590C2semidirect
11. #20288537C2semidirect
12. #20288489C2semidirect
13. #20288452C2semidirect
14. #20288444C2semidirect
15. #20288384C2semidirect
16. #20288132C2semidirect
17. #20288128C2semidirect
18. #20288103C2semidirect
19. C2×#16811226C2semidirect
20. H(5,𝔽2)×Dic53C2semidirect
21. #20287921C2semidirect
22. #20287918C2semidirect
23. C53×#3488C2semidirect
25. #16811355C22semidirect
26. #16811355C22semidirect
27. #16811352C22semidirect
28. #16811349C22semidirect
29. #16811338C22semidirect
30. #16811337C22semidirect
31. #16811332C22semidirect
32. #16811330C22semidirect
33. #16811325C22semidirect
34. #16811325C22semidirect
35. #16811325C22semidirect
36. #16811320C22semidirect
37. #16811320C22semidirect
38. #16811319C22semidirect
39. #16811319C22semidirect
40. #16811316C22semidirect
41. #16811315C22semidirect
42. #16811307C22semidirect
43. #16811299C22semidirect
44. #16811296C22semidirect
45. #16811293C22semidirect
46. #16811293C22semidirect
47. #16811292C22semidirect
48. #16811292C22semidirect
49. #16811292C22semidirect
50. #16811284C22semidirect
51. #16811277C22semidirect
52. #16811273C22semidirect
53. #16811267C22semidirect
54. #16811261C22semidirect
55. #16811260C22semidirect
56. #16811260C22semidirect
57. #16811260C22semidirect
58. D4×C22⋊D53C22semidirect
59. D4×C22⋊D53C22semidirect
60. D4×C22⋊D53C22semidirect
61. #16811254C22semidirect
62. #16811251C22semidirect
63. #16811246C22semidirect
64. #16811246C22semidirect
65. #16811246C22semidirect
66. #16811242C22semidirect
67. #16811240C22semidirect
68. #16811240C22semidirect
69. #16811233C22semidirect
70. #16811233C22semidirect
71. #16811227C22semidirect
72. #16811226C22semidirect
73. #16811226C22semidirect
74. #16811226C22semidirect
75. #16811226C22semidirect
76. #16811226C22semidirect
77. #16811226C22semidirect
78. #16811226C22semidirect
79. #16811226C22semidirect
80. #16811226C22semidirect
81. #16811226C22semidirect
82. #16811217C22semidirect
83. #16811217C22semidirect
84. #16811210C22semidirect
85. #16811208C22semidirect
86. #16811208C22semidirect
87. #16811208C22semidirect
88. #16811201C22semidirect
89. #16811190C22semidirect
90. #16811187C22semidirect
91. #16811187C22semidirect
92. #16811176C22semidirect
93. #16811171C22semidirect
94. #16811169C22semidirect
95. #16811168C22semidirect
96. #16811168C22semidirect
97. #16811168C22semidirect
98. C2×#13133213C22semidirect
99. #16811159C22semidirect
100. #16811159C22semidirect
101. #16811155C22semidirect
102. #16811155C22semidirect
103. #16811154C22semidirect
104. #16811153C22semidirect
105. #16811153C22semidirect
106. #16811152C22semidirect
107. C2×#13133208C22semidirect
108. #16811134C22semidirect
109. #16811133C22semidirect
110. #16811129C22semidirect
111. C2×#13133201C22semidirect
112. C2×#13133199C22semidirect
113. C2×#13133191C22semidirect
114. C2×#13133189C22semidirect
115. C2×#13133188C22semidirect
117. #16811106C22semidirect
118. #16811106C22semidirect
119. #16811106C22semidirect
120. #16811106C22semidirect
121. #16811106C22semidirect
122. #16811106C22semidirect
123. #16811105C22semidirect
124. #16811104C22semidirect
125. #16811101C22semidirect
126. #16811101C22semidirect
127. #16811098C22semidirect
128. #16811098C22semidirect
129. #16811098C22semidirect
130. #16811098C22semidirect
131. #16811097C22semidirect
132. #16811095C22semidirect
135. #41×Dic53C22semidirect
136. #41×Dic53C22semidirect
137. #41×Dic53C22semidirect
138. #41×Dic53C22semidirect
139. C4×#11719949C22semidirect
140. #16811091C22semidirect
141. C2×D4×Dic53C22semidirect
142. C2×D4×Dic53C22semidirect
143. C2×#13133179C22semidirect
144. C4×D4×D53C22semidirect
145. C2×#13133176C22semidirect
146. C2×#13133176C22semidirect
149. C53×#550C22semidirect
150. C53×#548C22semidirect
151. C53×#546C22semidirect
152. D42×C53C22semidirect
153. C53×#537C22semidirect
154. C53×#535C22semidirect
155. C53×#525C22semidirect
156. C2×#121×C53C22semidirect
409. #41×C53#41semidirect
690. #3488D53semidirect
734. #550C2×D53semidirect
736. #548C2×D53semidirect
744. #546C2×D53semidirect
748. D42C2×D53semidirect
777. #537C2×D53semidirect
781. #535C2×D53semidirect
801. #525C2×D53semidirect
807. C2×#121C2×D53semidirect
840. C53#62858semidirect
1096. #41#11719947semidirect

Maximal subgroups

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

subgroupindex
#202888252
#202888172
#202887382
#202887342
#202887162
#202887122
#202886562
#202886442
#202886362
#202885902
#202885372
#202884892
#202884522
#202884442
#202883842
#202881322
#202881282
#202881032
C2×#168112262
H(5,𝔽2)×Dic532
#202879212
#202879182
C53×#34882
#6285853