Finite Group Databasebeta

← #28293021

Subgroups — #28293021

Order 13568.

7148 conjugacy classes of subgroups.

The subgroup lattice has 1352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289285C214yesmaximal, complemented
2#20289246C214yesmaximal, complemented
3#20289188C214yesmaximal, complemented
4#20289126C212yesmaximal, complemented
5#20289113C212yesmaximal, complemented
6#20289106C214yesmaximal, complemented
7#20288942C214yesmaximal, complemented
8#20288798C214yesmaximal, complemented
9#20288766C214yesmaximal, complemented
10#20288626C212yesmaximal, complemented
11#20288626C214yesmaximal, complemented
12#20288591C212yesmaximal, complemented
13#20288582C212yesmaximal, complemented
14#20288564C212yesmaximal, complemented
15#20288534C212yesmaximal, complemented
16#20288516C212yesmaximal, complemented
17#20288500C212yesmaximal, complemented
18#20288481C212yesmaximal, complemented
19#20288452C214yesmaximal, complemented
20#20288387C214yesmaximal, complemented
21C2×#16811180C211yesmaximal, characteristic, complemented
22C2×#16811173C211yesmaximal, characteristic, complemented
23C53×#3444C211yesmaximal, characteristic, complemented
24C2×#13133264C2214yescomplemented
25C22×#11719945C2212yes—
26#16811377C2218yescomplemented
27#16811370C22116yescomplemented
28#16811367C2218yescomplemented
29#16811358C2214yescomplemented
30#16811358C2214yescomplemented
31#16811355C2218yescomplemented
32Q8×Dic106C2214yescomplemented
33#16811352C2214yescomplemented
34#16811347C2214yescomplemented
35#16811346C2218yescomplemented
36#16811346C2214yescomplemented
37#16811338C2214yescomplemented
38#16811338C2218yescomplemented
39#16811334C2214yescomplemented
40#16811333C2214yescomplemented
41#16811333C2218yescomplemented
42#16811330C2218yes—
43#16811330C2214yescomplemented
44#16811329C2218yescomplemented
45#16811319C2218yescomplemented
46#16811319C2218yescomplemented
47#16811319C2218yescomplemented
48#16811311C2218yescomplemented
49#16811296C22116yes—
50#16811294C2214yescomplemented
51#16811294C2214yescomplemented
52#16811293C2214yescomplemented
53Q8×D212C2214yescomplemented
54Q8×D212C2214yescomplemented
55D4×Dic106C2218yes—
56D4×Dic106C2214yescomplemented
57#16811288C2214yescomplemented
58#16811282C2218yescomplemented
59#16811282C2218yescomplemented
60#16811282C2218yescomplemented
61#16811281C2218yescomplemented
62#16811278C2214yescomplemented
63#16811278C2218yescomplemented
64#16811277C2218yescomplemented
65#16811277C2214yescomplemented
66#16811277C2214yescomplemented
67#16811277C2218yescomplemented
68#16811271C22116yescomplemented
69#16811269C2218yes—
70#16811269C2218yes—
71#16811260C22116yes—
72#16811251C2214yes—
73#16811251C2218yescomplemented
74#16811248C2218yes—
75#16811246C2218yescomplemented
76#16811244C2218yescomplemented
77#16811244C2218yescomplemented
78#16811244C2218yescomplemented
79#16811239C22116yescomplemented
80#16811228C2218yescomplemented
81#16811226C2218yescomplemented
82#16811222C2218yescomplemented
83#16811214C22116yescomplemented
84#16811210C2218yes—
85#16811202C2218yescomplemented
86#16811201C2218yescomplemented
87#16811201C2214yescomplemented
88#16811200C2218yescomplemented
89#16811199C2218yescomplemented
90#16811199C2214yescomplemented
91#16811196C2218yescomplemented
92#16811187C2214yes—
93#16811180C2212yes—
94#16811180C2212yes—
95#16811180C2212yes—
96#16811180C2212yes—
97#16811180C2212yescomplemented
98#16811180C2212yescomplemented
99#16811180C2212yescomplemented
100#16811180C2212yescomplemented
101#16811180C2214yescomplemented
102#16811173C2212yes—
103#16811173C2212yes—
104#16811173C2212yes—
105#16811173C2212yes—
106#16811173C2212yes—
107#16811173C2212yes—
108#16811173C2212yes—
109#16811173C2212yes—
110#16811173C2214yescomplemented
111#16811173C2214yescomplemented
112#16811168C2218yescomplemented
113C2×#13133217C2211yescharacteristic
114C2×#13133217C2211yescharacteristic, complemented
115C2×#13133217C2211yescharacteristic, complemented
116C2×#13133217C2214yescomplemented
117C2×#13133214C2211yescharacteristic
118#16811159C2218yescomplemented
119C2×#13133209C2212yescomplemented
120C2×#13133205C2212yes—
121#16811133C2218yes—
122C2×#13133196C2212yes—
123C2×#13133196C2212yes—
124C22⋊Q8×D53C2218yes—
125C2×#13133191C2212yes—
126C2×#13133191C2212yes—
127#16811106C2214yes—
128#16811103C2218yescomplemented
129#16811103C2214yescomplemented
130#16811097C2214yes—
131C2×C4×Dic106C2212yescomplemented
132C2×C4×Dic106C2212yescomplemented
133C2×C4×D212C2212yes—
134C2×C4×D212C2212yes—
135C2×#13133176C2212yes—
136C53×#533C2211yescharacteristic
137C53×#533C2211yescharacteristic, complemented
138C53×#533C2211yescharacteristic, complemented
139C53×#532C2211yescharacteristic
140C53×#532C2211yescharacteristic, complemented
141C53×#532C2211yescharacteristic, complemented
142C53×#529C2212yes—
143C53×#529C2212yes—
144C53×#529C2212yescomplemented
145C53×#529C2212yescomplemented
146C53×#529C2212yescomplemented
147C53×#529C2212yescomplemented
148C53×#525C2212yes—
149C53×#525C2212yes—
150C53×#525C2212yes—
151C4×#41×C53C2212yes—
152C4×#41×C53C2212yescomplemented
153C4×#41×C53C2212yescomplemented
154C22×C42×C53C2211yescharacteristic
155#13133264—416no—
156C2×#11719945—48no—
157C2×#11719945C2314yes—
158C2×#11719945C2318yes—
159C2×#11719945C2318yes—
160C2×#11719945C2314yes—
161C2×#11719945C2314yes—
162C2×#11719945C2314yes—
163C2×#11719947C23116yes—
164C2×#11719947C2318yes—
165C22×Dic106C2312yes—
166C22×Dic106C2312yes—
167C22×Dic106C2318yes—
168C22×Dic106C2312yes—
169C2×Q8×D53C2318yes—
170C22×D212C2312yes—
171C22×D212C2312yes—
172C22×D212C2312yes—
173C22×C22⋊D53C2314yes—
174C22×C4×D53C2314yes—
175#13133217C2312yes—
176#13133217C2312yes—
177#13133217C2318yes—
178#13133217C2318yes—
179#13133217C2312yes—
180#13133217C2318yes—
181#13133217C2312yes—
182#13133217C2312yes—
183#13133217C2312yes—
184#13133217C2312yes—
185#13133217C2312yes—
186#13133217C2312yes—
187#13133217C2312yes—
188#13133217C2312yes—
189#13133217C2312yes—
190#13133216C23116yes—
191#13133216C2318yes—
192#13133214C2312yes—
193#13133214C2312yes—
194#13133214C2312yes—
195#13133214C2312yes—
196#13133213C2318yes—
197#13133212C23116yes—
198#13133212C23116yes—
199#13133212C23116yes—
200#13133209C2314yes—
201#13133209C2318yes—
202#13133209C2314yes—
203#13133209C2314yes—
204#13133209C2314yes—
205#13133208C23116yes—
206#13133208C2318yes—
207#13133206C2318yes—
208#13133205C2318yes—
209#13133205C2318yes—
210#13133205C2314yes—
211#13133205C2314yes—
212#13133205C2314yes—
213#13133205C2314yes—
214#13133203C23116yes—
215#13133203C23116yes—
216#13133203C23116yes—
217#13133202C23116yes—
218#13133202C23116yes—
219#13133201C23116yes—
220#13133201C23116yes—
221#13133201C23116yes—
222#13133199C23116yes—
223#13133199C23116yes—
224#13133199C23116yes—
225#13133197C23116yes—
226#13133197C2318yes—
227#13133197C2318yes—
228#13133197C23116yes—
229#13133196C2314yes—
230#13133196C2314yes—
231#13133196C2314yes—
232#13133196C2318yes—
233#13133196C2318yes—
234#13133196C2314yes—
235#13133196C2314yes—
236#13133196C2314yes—
237#13133196C2314yes—
238#13133196C2314yes—
239#13133195C23116yes—
240#13133195C23116yes—
241#13133195C23116yes—
242#13133194C23116yes—
243#13133194C23116yes—
244#13133194C23116yes—
245#13133193C2318yes—
246#13133193C23116yes—
247#13133191C2318yes—
248#13133191C2318yes—
249#13133191C2314yes—
250#13133191C2314yes—
251#13133191C2318yes—
252#13133191C2318yes—
253#13133191C2314yes—
254#13133191C2314yes—
255#13133191C2314yes—
256#13133191C2314yes—
257#13133191C2314yes—
258#13133191C2314yes—
259#13133190C23116yes—
260#13133190C23116yes—
261#13133189C23116yes—
262#13133189C23116yes—
263#13133189C23116yes—
264#13133188C2318yes—
265#13133188C23116yes—
266#13133185C23116yes—
267Q8×Dic53C2318yes—
268C4×Dic106C2314yes—
269C4×Dic106C2314yes—
270C4×Dic106C2318yes—
271C4×Dic106C2318yes—
272C4×Dic106C2314yes—
273C4×Dic106C2314yes—
274C4×Dic106C2314yes—
275C4×Dic106C2314yes—
276C4×Dic106C2314yes—
277C4×Dic106C2314yes—
278C4×D212C2318yes—
279C4×D212C2318yes—
280C4×D212C2314yes—
281C4×D212C2318yes—
282C4×D212C2314yes—
283C4×D212C2314yes—
284C4×D212C2314yes—
285C4×D212C2314yes—
286C4×D212C2318yes—
287C4×D212C2314yes—
288C4×D212C2314yes—
289C4×D212C2314yes—
290D4×Dic53C23116yes—
291D4×Dic53C2318yes—
292#13133179C2318yes—
293#13133179C2318yes—
294#13133177C23116yes—
295#13133177C23116yes—
296#13133177C23116yes—
297#13133176C2314yes—
298#13133176C2314yes—
299#13133176C2318yes—
300#13133176C2314yes—
301#13133176C2314yes—
302#13133175C23116yes—
303#13133175C2318yes—
304C2×C4⋊Dic53C2312yes—
305C2×C4⋊Dic53C2312yes—
306C2×C4⋊Dic53C2318yes—
307C2×C4⋊Dic53C2318yes—
308C2×C4⋊Dic53C2312yes—
309C2×C4⋊Dic53C2312yes—
310C2×C4⋊Dic53C2312yes—
311C2×C4⋊Dic53C2312yes—
312C2×#11719919C2314yes—
313C2×#11719919C2314yes—
314C4⋊C4×D53C23116yes—
315C4⋊C4×D53C2318yes—
316C2×C22⋊Dic53C2314yes—
317C2×#11719921C2314yes—
318C2×#11719921C2314yes—
319C22⋊C4×D53C23116yes—
320C2×C4×Dic53C2314yes—
321C2×#41×C53C2312yes—
322C2×#41×C53C2312yes—
323C2×#41×C53C2312yes—
324C23×C4×C53C2311yescharacteristic
325C23×C4×C53C2311yescharacteristic
326C23×C4×C53C2311yescharacteristic
327C4⋊Q8×C53C2311yescharacteristic
328C4⋊Q8×C53C2311yescharacteristic
329C4⋊Q8×C53C2311yescharacteristic
330#127×C53C2311yescharacteristic
331#126×C53C2314yes—
332#126×C53C2314yes—
333#125×C53C2312yes—
334#125×C53C2312yes—
335#125×C53C2312yes—
336#124×C53C2312yes—
337#124×C53C2312yes—
338#124×C53C2312yes—
339#123×C53C2314yes—
340#123×C53C2314yes—
341#123×C53C2314yes—
342C22⋊Q8×C53C2312yes—
343C22⋊Q8×C53C2312yes—
344C22⋊Q8×C53C2312yes—
345C22⋊Q8×C53C2312yes—
346C22⋊Q8×C53C2312yes—
347C22⋊Q8×C53C2312yes—
348#121×C53C2312yes—
349#121×C53C2312yes—
350#121×C53C2312yes—
351#121×C53C2312yes—
352#121×C53C2312yes—
353#121×C53C2312yes—
354#120×C53C2314yes—
355C4×Q8×C53C2312yes—
356C4×Q8×C53C2312yes—
357C4×Q8×C53C2312yes—
358C4×Q8×C53C2312yes—
359C4×Q8×C53C2312yes—
360C4×Q8×C53C2312yes—
361C4×D4×C53C2314yes—
362C4×D4×C53C2314yes—
363C4×D4×C53C2312yes—
364C4×D4×C53C2314yes—
365C4×D4×C53C2314yes—
366C4×D4×C53C2312yes—
367C4×D4×C53C2314yes—
368C4×D4×C53C2312yes—
369C4×D4×C53C2312yes—
370C4×D4×C53C2312yes—
371C4×D4×C53C2314yes—
372C4×D4×C53C2312yes—
373#117×C53C2312yes—
374#117×C53C2314yes—
375#117×C53C2312yes—
376#117×C53C2312yes—
377#117×C53C2314yes—
378#117×C53C2314yes—
379C2×C42×C53C2311yescharacteristic
380C2×C42×C53C2311yescharacteristic
381C2×C42×C53C2311yescharacteristic
382C2×C42×C53C2311yescharacteristic
383C2×C42×C53C2311yescharacteristic
384C2×C42×C53C2311yescharacteristic
385C2×C42×C53C2311yescharacteristic
386C2×C42×C53C2311yescharacteristic
387C2×C42×C53C2311yescharacteristic
388C2×C42×C53C2311yescharacteristic
389C2×C42×C53C2311yescharacteristic
390C2×C42×C53C2311yescharacteristic
391C2×C42×C53C2314yes—
392C24×C53C2411yescharacteristic
393C23×D53C2414yes—
394#41×C53—28no—
395#41×C53—28no—
396#41×C53—44no—
397C2×Q8×C53C2412yes—
398C2×Q8×C53C2412yes—
399C2×Q8×C53C2412yes—
400C2×D4×C53C2414yes—
401C2×D4×C53C2414yes—
402C2×D4×C53C2412yes—
403C2×D4×C53C2412yes—
404C2×D4×C53C2414yes—
405C2×D4×C53C2412yes—
406C22×C4×C53—24no—
407C22×C4×C53—24no—
408C22×C4×C53—42no—
409C22×C4×C53C2411yescharacteristic
410C22×C4×C53C2411yescharacteristic
411C22×C4×C53C2411yescharacteristic
412C22×C4×C53C2411yescharacteristic
413C22×C4×C53C2411yescharacteristic
414C22×C4×C53C2411yescharacteristic
415C22×C4×C53C2411yescharacteristic
416C22×C4×C53C2411yescharacteristic
417C22×C4×C53C2411yescharacteristic
418C22×C4×C53C2411yescharacteristic
419C22×C4×C53C2411yescharacteristic
420C22×C4×C53C2411yescharacteristic
421C22×C4×C53C2411yescharacteristic
422C22×C4×C53C2414yes—
423C22×C4×C53C2414yes—
424C22×C4×C53C2414yes—
425C22×C4×C53C2411yescharacteristic
426C22×C4×C53C2411yescharacteristic
427C22×C4×C53C2411yescharacteristic
428C22×C4×C53C2411yescharacteristic
429C22×C4×C53C2411yescharacteristic
430C2×C22⋊D53—48no—
431C2×C22⋊D53C2418yes—
432C2×C22⋊D53C24116yes—
433C2×C22⋊D53C24116yes—
434C2×C22⋊D53C2418yes—
435C22×Dic53C2414yes—
436C22×Dic53C2414yes—
437C22×Dic53C2414yes—
438C22×Dic53C24116yes—
439Q8×D53—416no—
440#11719947—416no—
441#11719947—432no—
442#11719945—216no—
443#11719945—48no—
444#11719945—416no—
445#11719945—416no—
446#11719945—48no—
447#11719945—48no—
448C2×D212—28no—
449C2×D212—44no—
450C2×D212—44no—
451C2×D212C2414yes—
452C2×D212C2414yes—
453C2×D212C2414yes—
454C2×D212C2414yes—
455C2×D212C2414yes—
456C2×D212C2414yes—
457C2×C4×D53—48no—
458C2×C4×D53C2418yes—
459C2×C4×D53C24116yes—
460C2×C4×D53C24116yes—
461C2×C4×D53C2418yes—
462C2×Dic106—28no—
463C2×Dic106—44no—
464C2×Dic106—44no—
465C2×Dic106—416no—
466C2×Dic106C2414yes—
467C2×Dic106C2414yes—
468C2×Dic106C2414yes—
469C2×Dic106C2414yes—
470C2×Dic106C2414yes—
471C2×Dic106C2414yes—
472C2×Dic106C24116yes—
473C4⋊C4×C53C2412yes—
474C4⋊C4×C53C2412yes—
475C4⋊C4×C53C2412yes—
476C4⋊C4×C53C2412yes—
477C4⋊C4×C53C2412yes—
478C4⋊C4×C53C2412yes—
479C4⋊C4×C53C2414yes—
480C4⋊C4×C53C2414yes—
481C4⋊C4×C53C2414yes—
482C4⋊C4×C53C2414yes—
483C4⋊C4×C53C2414yes—
484C4⋊C4×C53C2414yes—
485C22⋊C4×C53C2414yes—
486C22⋊C4×C53C2414yes—
487C22⋊C4×C53C2414yes—
488C22⋊C4×C53C2414yes—
489C22⋊C4×C53C2414yes—
490C22⋊C4×C53C2414yes—
491C22⋊C4×C53C2414yes—
492C22⋊C4×C53C2414yes—
493C22⋊C4×C53C2414yes—
494C42×C53C2411yescharacteristic
495C42×C53C2411yescharacteristic
496C42×C53C2411yescharacteristic
497C42×C53C2411yescharacteristic
498C42×C53C2411yescharacteristic
499C42×C53C2411yescharacteristic
500C42×C53C2411yescharacteristic
501C42×C53C2411yescharacteristic
502C42×C53C2411yescharacteristic
503C42×C53C2411yescharacteristic
504C42×C53C2411yescharacteristic
505C42×C53C2411yescharacteristic
506C42×C53C2411yescharacteristic
507C42×C53C2411yescharacteristic
508C42×C53C2411yescharacteristic
509C42×C53C2411yescharacteristic
510C42×C53C2414yes—
511C42×C53C2414yes—
512C42×C53C2414yes—
513C22⋊Dic53C2418yes—
514C22⋊Dic53C2418yes—
515C22⋊Dic53C24116yes—
516#11719921C24116yes—
517#11719921C24116yes—
518#11719921C2418yes—
519#11719921C2418yes—
520#11719921C2418yes—
521#11719921C2418yes—
522#11719921C24116yes—
523#11719921C24116yes—
524C4⋊Dic53C2414yes—
525C4⋊Dic53C24116yes—
526C4⋊Dic53C2414yes—
527C4⋊Dic53C2414yes—
528C4⋊Dic53C2414yes—
529C4⋊Dic53C2414yes—
530C4⋊Dic53C2414yes—
531C4⋊Dic53C2414yes—
532C4⋊Dic53C2414yes—
533C4⋊Dic53C2414yes—
534C4⋊Dic53C24116yes—
535C4⋊Dic53C2414yes—
536C4⋊Dic53C2414yes—
537C4⋊Dic53C2414yes—
538#11719919C2418yes—
539#11719919C24116yes—
540#11719919C24116yes—
541#11719919C2418yes—
542#11719919C2418yes—
543#11719919C2418yes—
544C4×Dic53C2418yes—
545C4×Dic53C2418yes—
546C4×Dic53C24116yes—
547C23×C53—22no—
548C23×C53—22no—
549C23×C53—41no—
550C23×C53C2514yes—
551C23×C53C2511yescharacteristic
552C23×C53C2511yescharacteristic
553C23×C53C2511yescharacteristic
554C22×D53—28no—
555C22×D53—44no—
556C22×D53—44no—
557C22×D53C2518yes—
558Q8×C53—24no—
559Q8×C53—24no—
560Q8×C53—42no—
561D4×C53—28no—
562D4×C53—28no—
563D4×C53—24no—
564D4×C53—24no—
565D4×C53—44no—
566D4×C53—42no—
567C2×C4×C53—22no—
568C2×C4×C53—22no—
569C2×C4×C53—22no—
570C2×C4×C53—28no—
571C2×C4×C53—22no—
572C2×C4×C53—22no—
573C2×C4×C53—22no—
574C2×C4×C53—22no—
575C2×C4×C53—22no—
576C2×C4×C53—22no—
577C2×C4×C53—22no—
578C2×C4×C53—28no—
579C2×C4×C53—22no—
580C2×C4×C53—22no—
581C2×C4×C53—28no—
582C2×C4×C53—22no—
583C2×C4×C53—41no—
584C2×C4×C53—41no—
585C2×C4×C53—41no—
586C2×C4×C53H(5,𝔽2)14yes—
587C2×C4×C532−1+414yescomplemented
588C2×C4×C53C2514yes—
589C2×C4×C53C2511yescharacteristic
590C2×C4×C53C2511yescharacteristic
591C2×C4×C53C2511yescharacteristic
592C2×C4×C53C2514yes—
593C2×C4×C53C2511yescharacteristic
594C2×C4×C53C2511yescharacteristic
595C2×C4×C53C2511yescharacteristic
596C2×C4×C53C2511yescharacteristic
597C2×C4×C53C2514yes—
598C2×C4×C53C2511yescharacteristic
599C2×C4×C53C2511yescharacteristic
600C2×C4×C53C2511yescharacteristic
601C2×C4×C53C2511yescharacteristic
602C2×C4×C53C2511yescharacteristic
603C22⋊D53—216no—
604C22⋊D53—48no—
605C22⋊D53—416no—
606C22⋊D53—416no—
607C2×Dic53—28no—
608C2×Dic53—44no—
609C2×Dic53—416no—
610C2×Dic53—44no—
611C2×Dic53C2518yes—
612C2×Dic53C2518yes—
613C2×Dic53C2518yes—
614D212—28no—
615D212—28no—
616D212—28no—
617D212—28no—
618D212—44no—
619D212—44no—
620C4×D53—216no—
621C4×D53—48no—
622C4×D53—416no—
623C4×D53—416no—
624Dic106—28no—
625Dic106—28no—
626Dic106—28no—
627Dic106—28no—
628Dic106—44no—
629Dic106—44no—
630Dic106—416no—
631#62835—531nomaximal, Sylow
632C22×C53—21no—
633C22×C53—21no—
634C22×C53—21no—
635C22×C53—21no—
636C22×C53—24no—
637C22×C53—21no—
638C22×C53—21no—
639C22×C53—24no—
640C22×C53—24no—
641C22×C53—21no—
642C22×C53—44no—
643C22×C53C2×H(5,𝔽2)12yes—
644C22×C53C2×2−1+412yes—
645C22×C53C2611yescharacteristic
646C2×D53—28no—
647C2×D53—28no—
648C2×D53—28no—
649C2×D53—88no—
650C4×C53—24no—
651C4×C53—21no—
652C4×C53—21no—
653C4×C53—21no—
654C4×C53—21no—
655C4×C53—24no—
656C4×C53—21no—
657C4×C53—24no—
658C4×C53—21no—
659C4×C53—21no—
660C4×C53C2×H(5,𝔽2)12yes—
661C4×C53C2×H(5,𝔽2)12yes—
662C4×C53C2×2−1+412yes—
663C4×C53C2×2−1+412yes—
664C4×C53#58512yes—
665Dic53—28no—
666Dic53—28no—
667Dic53—28no—
668#3561—534no—
669#3559—534no—
670#3554—534no—
671#3550—532no—
672#3548—532no—
673#3547—534no—
674#3536—534no—
675#3522—534no—
676#3520—534no—
677#3511—532no—
678#3511—534no—
679#3508—532no—
680#3507—532no—
681#3506—532no—
682#3503—532no—
683#3501—532no—
684#3499—532no—
685#3497—532no—
686#3494—534no—
687#3489—534no—
688#3444D5311yescharacteristic, complemented
689C2×#533—531no—
690C2×#532—531no—
691C2×C53—22no—
692C2×C53—22no—
693C2×C53—44no—
694C2×C53—41no—
695C2×C53C22×H(5,𝔽2)11yescharacteristic
696C2×C53C22×2−1+411yescharacteristic
697C2×C53C2×#58511yescharacteristic
698D53—48no—
699C2×2−1+4—534no—
700C22×#41—532no—
701#563—538no—
702#562—538no—
703#562—5316no—
704#559—538no—
705#559—534no—
706#559—534no—
707Q82—534no—
708#557—534no—
709#556—534no—
710#556—538no—
711#556—534no—
712#555—538no—
713#555—534no—
714#554—534no—
715#554—538no—
716#554—534no—
717#554—538no—
718#554—538no—
719#554—534no—
720#553—538no—
721#553—538no—
722#553—538no—
723#552—538no—
724#551—5316no—
725#550—534no—
726#550—534no—
727#550—534no—
728D4×Q8—534no—
729D4×Q8—534no—
730D4×Q8—534no—
731D4×Q8—538no—
732D4×Q8—534no—
733#548—538no—
734#548—538no—
735#548—538no—
736#548—538no—
737#547—5316no—
738#547—538no—
739#547—534no—
740#547—534no—
741#547—538no—
742#547—538no—
743#547—534no—
744#546—5316no—
745#546—538no—
746#546—538no—
747#544—534no—
748#544—538no—
749#543—538no—
750#542—5316no—
751#542—538no—
752#542—538no—
753#542—538no—
754#542—538no—
755#540—538no—
756#540—538no—
757#539—5316no—
758#539—538no—
759#538—538no—
760#537—534no—
761#537—538no—
762#537—538no—
763#537—538no—
764#536—538no—
765#536—534no—
766#536—538no—
767#535—534no—
768#533—532no—
769#533—532no—
770#533—532no—
771#533—532no—
772#533—532no—
773#533—532no—
774#533—532no—
775#533—532no—
776#533—534no—
777#533C2×D5311yescharacteristic
778#533C2×D5311yescharacteristic, complemented
779#533C2×D5311yescharacteristic, complemented
780#532—538no—
781#532—532no—
782#532—532no—
783#532—532no—
784#532—532no—
785#532—532no—
786#532—532no—
787#532—532no—
788#532—532no—
789#532—534no—
790#532—534no—
791#532C2×D5311yescharacteristic
792#532C2×D5311yescharacteristic, complemented
793#532C2×D5311yescharacteristic, complemented
794C2×C4⋊Q8—531no—
795C2×C4⋊Q8—531no—
796C2×C4⋊Q8—531no—
797C2×C4⋊Q8—534no—
798C2×#127—531no—
799#529—538no—
800#529C2×D5312yes—
801#529C2×D5312yes—
802#529C2×D5312yescomplemented
803#529C2×D5312yescomplemented
804#529C2×D5312yescomplemented
805#529C2×D5312yescomplemented
806C2×#125—532no—
807C2×#124—532no—
808#525—538no—
809#525C2×D5312yes—
810#525C2×D5312yes—
811#525C2×D5312yes—
812C2×C22⋊Q8—532no—
813C2×C22⋊Q8—532no—
814C2×C22⋊Q8—538no—
815C2×#121—532no—
816C2×#121—532no—
817#520—534no—
818#520—534no—
819#520—538no—
820#518—534no—
821C4×#41C2×D5312yes—
822C4×#41C2×D5312yescomplemented
823C4×#41C2×D5312yescomplemented
824C2×C4×Q8—532no—
825C2×C4×Q8—532no—
826C2×C4×D4—532no—
827C2×C4×D4—532no—
828C2×#117—532no—
829C22×C42C2×D5311yescharacteristic
830C53#6283511yescharacteristic, complemented, Sylow
8312−1+4—21216no—
832C2×#41—538no—
833C2×#41—5316no—
834C2×#41—534no—
835C2×#41—538no—
836C2×#41—534no—
837C2×#41—534no—
838C2×#41—534no—
839C2×#41—538no—
840C2×#41—2128no—
841C2×#41C22×D5312yes—
842C2×#41C22×D5312yes—
843C2×#41C22×D5312yes—
844C22×Q8—538no—
845C22×Q8—532no—
846C22×Q8—532no—
847C22×Q8—532no—
848C22×Q8—538no—
849C22×D4—534no—
850C22×D4—532no—
851C22×D4—532no—
852C22×D4—532no—
853C23×C4—534no—
854C23×C4C22×D5311yescharacteristic
855C23×C4C22×D5311yescharacteristic
856C23×C4C22×D5311yescharacteristic
857C4⋊Q8—538no—
858C4⋊Q8—5316no—
859C4⋊Q8—532no—
860C4⋊Q8—532no—
861C4⋊Q8—532no—
862C4⋊Q8—532no—
863C4⋊Q8—532no—
864C4⋊Q8—532no—
865C4⋊Q8—532no—
866C4⋊Q8—532no—
867C4⋊Q8—532no—
868C4⋊Q8—532no—
869C4⋊Q8—532no—
870C4⋊Q8—532no—
871C4⋊Q8—538no—
872C4⋊Q8—538no—
873C4⋊Q8—538no—
874C4⋊Q8C22×D5311yescharacteristic
875C4⋊Q8C22×D5311yescharacteristic
876C4⋊Q8C22×D5311yescharacteristic
877#127—538no—
878#127—532no—
879#127—532no—
880#127—532no—
881#127—532no—
882#127C22×D5311yescharacteristic
883#126—5316no—
884#126—5316no—
885#126—5316no—
886#126C22×D5314yes—
887#126C22×D5314yes—
888#125—538no—
889#125—5316no—
890#125—534no—
891#125—534no—
892#125—534no—
893#125—534no—
894#125—538no—
895#125C22×D5312yes—
896#125C22×D5312yes—
897#125C22×D5312yes—
898#124—538no—
899#124—5316no—
900#124—5316no—
901#124—5316no—
902#124—534no—
903#124—534no—
904#124—534no—
905#124—534no—
906#124—538no—
907#124—538no—
908#124C22×D5312yes—
909#124C22×D5312yes—
910#124C22×D5312yes—
911#123—5316no—
912#123—5316no—
913#123—5316no—
914#123—5316no—
915#123—5316no—
916#123—5316no—
917#123—5316no—
918#123—5316no—
919#123C22×D5314yes—
920#123C22×D5314yes—
921#123C22×D5314yes—
922C22⋊Q8—538no—
923C22⋊Q8—5316no—
924C22⋊Q8—534no—
925C22⋊Q8—534no—
926C22⋊Q8—534no—
927C22⋊Q8—534no—
928C22⋊Q8—534no—
929C22⋊Q8—534no—
930C22⋊Q8—534no—
931C22⋊Q8—534no—
932C22⋊Q8—538no—
933C22⋊Q8—538no—
934C22⋊Q8—538no—
935C22⋊Q8—5316no—
936C22⋊Q8—538no—
937C22⋊Q8—5316no—
938C22⋊Q8—5316no—
939C22⋊Q8—5316no—
940C22⋊Q8—5316no—
941C22⋊Q8—5316no—
942C22⋊Q8—5316no—
943C22⋊Q8—5316no—
944C22⋊Q8C22×D5312yes—
945C22⋊Q8C22×D5312yes—
946C22⋊Q8C22×D5312yes—
947C22⋊Q8C22×D5312yes—
948C22⋊Q8C22×D5312yes—
949C22⋊Q8C22×D5312yes—
950#121—538no—
951#121—5316no—
952#121—5316no—
953#121—5316no—
954#121—5316no—
955#121—534no—
956#121—534no—
957#121—534no—
958#121—534no—
959#121—534no—
960#121—534no—
961#121—534no—
962#121—534no—
963#121—538no—
964#121—538no—
965#121—538no—
966#121—538no—
967#121—5316no—
968#121—5316no—
969#121C22×D5312yes—
970#121C22×D5312yes—
971#121C22×D5312yes—
972#121C22×D5312yes—
973#121C22×D5312yes—
974#121C22×D5312yes—
975#120—5316no—
976#120C22×D5314yes—
977C4×Q8—538no—
978C4×Q8—534no—
979C4×Q8—534no—
980C4×Q8—534no—
981C4×Q8—534no—
982C4×Q8—534no—
983C4×Q8—534no—
984C4×Q8—534no—
985C4×Q8—534no—
986C4×Q8—538no—
987C4×Q8—538no—
988C4×Q8C22×D5312yes—
989C4×Q8C22×D5312yes—
990C4×Q8C22×D5312yes—
991C4×Q8C22×D5312yes—
992C4×Q8C22×D5312yes—
993C4×Q8C22×D5312yes—
994C4×D4—5316no—
995C4×D4—538no—
996C4×D4—538no—
997C4×D4—538no—
998C4×D4—5316no—
999C4×D4—5316no—
1000C4×D4—5316no—
1001C4×D4—534no—
1002C4×D4—534no—
1003C4×D4—534no—
1004C4×D4—534no—
1005C4×D4—534no—
1006C4×D4—534no—
1007C4×D4—534no—
1008C4×D4—534no—
1009C4×D4—538no—
1010C4×D4—538no—
1011C4×D4—538no—
1012C4×D4—538no—
1013C4×D4C22×D5314yes—
1014C4×D4C22×D5314yes—
1015C4×D4C22×D5312yes—
1016C4×D4C22×D5312yes—
1017C4×D4C22×D5314yes—
1018C4×D4C22×D5314yes—
1019C4×D4C22×D5314yes—
1020C4×D4C22×D5314yes—
1021C4×D4C22×D5312yes—
1022C4×D4C22×D5312yes—
1023C4×D4C22×D5312yes—
1024C4×D4C22×D5312yes—
1025#117—534no—
1026#117—534no—
1027#117—534no—
1028#117—534no—
1029#117—538no—
1030#117—538no—
1031#117—5316no—
1032#117C22×D5312yes—
1033#117C22×D5314yes—
1034#117C22×D5312yes—
1035#117C22×D5314yes—
1036#117C22×D5312yes—
1037#117C22×D5314yes—
1038C2×C4⋊C4—532no—
1039C2×C4⋊C4—532no—
1040C2×C4⋊C4—532no—
1041C2×C4⋊C4—532no—
1042C2×C4⋊C4—532no—
1043C2×C4⋊C4—534no—
1044C2×C4⋊C4—534no—
1045C2×C4⋊C4—532no—
1046C2×C4⋊C4—538no—
1047C2×C4⋊C4—538no—
1048C2×C4⋊C4—538no—
1049C2×C4⋊C4—5316no—
1050C2×C22⋊C4—534no—
1051C2×C22⋊C4—534no—
1052C2×C22⋊C4—534no—
1053C2×C22⋊C4—5316no—
1054C2×C42—534no—
1055C2×C42C22×D5311yescharacteristic
1056C2×C42C22×D5311yescharacteristic
1057C2×C42C22×D5311yescharacteristic
1058C2×C42C22×D5311yescharacteristic
1059C2×C42C22×D5311yescharacteristic
1060C2×C42C22×D5314yes—
1061C2×C42C22×D5311yescharacteristic
1062C2×C42C22×D5311yescharacteristic
1063C2×C42C22×D5311yescharacteristic
1064C2×C42C22×D5311yescharacteristic
1065C2×C42C22×D5311yescharacteristic
1066C2×C42C22×D5311yescharacteristic
1067C2×C42C22×D5311yescharacteristic
1068C24—534no—
1069C24C23×D5311yescharacteristic
1070#41—28no—
1071#41—28no—
1072#41—44no—
1073#41—10616no—
1074#41—2128no—
1075#41—2128no—
1076#41—21216no—
1077#41—2128no—
1078#41—21216no—
1079#41—21232no—
1080#41—21216no—
1081C2×Q8—534no—
1082C2×Q8—534no—
1083C2×Q8—534no—
1084C2×Q8—534no—
1085C2×Q8—534no—
1086C2×Q8—5316no—
1087C2×Q8—534no—
1088C2×Q8—1068no—
1089C2×Q8—2124no—
1090C2×Q8—2124no—
1091C2×Q8—21216no—
1092C2×Q8—21216no—
1093C2×Q8C23×D5312yes—
1094C2×Q8C23×D5312yes—
1095C2×Q8C23×D5312yes—
1096C2×D4—538no—
1097C2×D4—5316no—
1098C2×D4—5316no—
1099C2×D4—538no—
1100C2×D4—534no—
1101C2×D4—534no—
1102C2×D4—534no—
1103C2×D4—534no—
1104C2×D4—534no—
1105C2×D4—534no—
1106C2×D4—1068no—
1107C2×D4—2124no—
1108C2×D4—2124no—
1109C2×D4—2128no—
1110C2×D4C23×D5314yes—
1111C2×D4C23×D5312yes—
1112C2×D4C23×D5314yes—
1113C2×D4C23×D5312yes—
1114C2×D4C23×D5314yes—
1115C2×D4C23×D5312yes—
1116C22×C4—24no—
1117C22×C4—24no—
1118C22×C4—42no—
1119C22×C4—534no—
1120C22×C4—534no—
1121C22×C4—534no—
1122C22×C4—5316no—
1123C22×C4—538no—
1124C22×C4—5316no—
1125C22×C4—5316no—
1126C22×C4—538no—
1127C22×C4—2128no—
1128C22×C4C23×D5311yescharacteristic
1129C22×C4C23×D5311yescharacteristic
1130C22×C4C23×D5311yescharacteristic
1131C22×C4C23×D5311yescharacteristic
1132C22×C4C23×D5311yescharacteristic
1133C22×C4C23×D5311yescharacteristic
1134C22×C4C23×D5311yescharacteristic
1135C22×C4C23×D5311yescharacteristic
1136C22×C4C23×D5311yescharacteristic
1137C22×C4C23×D5311yescharacteristic
1138C22×C4C23×D5311yescharacteristic
1139C22×C4C23×D5311yescharacteristic
1140C22×C4C23×D5311yescharacteristic
1141C22×C4C23×D5314yes—
1142C22×C4C23×D5314yes—
1143C22×C4C23×D5314yes—
1144C22×C4C23×D5311yescharacteristic
1145C22×C4C23×D5311yescharacteristic
1146C22×C4C23×D5311yescharacteristic
1147C22×C4C23×D5311yescharacteristic
1148C22×C4C23×D5311yescharacteristic
1149C4⋊C4—534no—
1150C4⋊C4—534no—
1151C4⋊C4—534no—
1152C4⋊C4—534no—
1153C4⋊C4—534no—
1154C4⋊C4—538no—
1155C4⋊C4—5316no—
1156C4⋊C4—534no—
1157C4⋊C4—534no—
1158C4⋊C4—534no—
1159C4⋊C4—534no—
1160C4⋊C4—534no—
1161C4⋊C4—534no—
1162C4⋊C4—5316no—
1163C4⋊C4—5316no—
1164C4⋊C4—5316no—
1165C4⋊C4—538no—
1166C4⋊C4—538no—
1167C4⋊C4—538no—
1168C4⋊C4—534no—
1169C4⋊C4C23×D5312yes—
1170C4⋊C4C23×D5314yes—
1171C4⋊C4C23×D5312yes—
1172C4⋊C4C23×D5314yes—
1173C4⋊C4C23×D5312yes—
1174C4⋊C4C23×D5312yes—
1175C4⋊C4C23×D5312yes—
1176C4⋊C4C23×D5312yes—
1177C4⋊C4C23×D5314yes—
1178C4⋊C4C23×D5314yes—
1179C4⋊C4C23×D5314yes—
1180C4⋊C4C23×D5314yes—
1181C22⋊C4—538no—
1182C22⋊C4—538no—
1183C22⋊C4—5316no—
1184C22⋊C4—538no—
1185C22⋊C4—538no—
1186C22⋊C4—5316no—
1187C22⋊C4—5316no—
1188C22⋊C4—538no—
1189C22⋊C4—538no—
1190C22⋊C4—5316no—
1191C22⋊C4—5316no—
1192C22⋊C4C23×D5314yes—
1193C22⋊C4C23×D5314yes—
1194C22⋊C4C23×D5314yes—
1195C22⋊C4C23×D5314yes—
1196C22⋊C4C23×D5314yes—
1197C22⋊C4C23×D5314yes—
1198C22⋊C4C23×D5314yes—
1199C22⋊C4C23×D5314yes—
1200C22⋊C4C23×D5314yes—
1201C42—538no—
1202C42—538no—
1203C42—5316no—
1204C42C23×D5311yescharacteristic
1205C42C23×D5311yescharacteristic
1206C42C23×D5311yescharacteristic
1207C42C23×D5311yescharacteristic
1208C42C23×D5311yescharacteristic
1209C42C23×D5311yescharacteristic
1210C42C23×D5311yescharacteristic
1211C42C23×D5311yescharacteristic
1212C42C23×D5311yescharacteristic
1213C42C23×D5311yescharacteristic
1214C42C23×D5311yescharacteristic
1215C42C23×D5311yescharacteristic
1216C42C23×D5311yescharacteristic
1217C42C23×D5311yescharacteristic
1218C42C23×D5311yescharacteristic
1219C42C23×D5311yescharacteristic
1220C42C23×D5314yes—
1221C42C23×D5314yes—
1222C42C23×D5314yes—
1223C23—22no—
1224C23—22no—
1225C23—41no—
1226C23—538no—
1227C23—1068no—
1228C23—2124no—
1229C23—2124no—
1230C23C24×D5311yescharacteristic
1231C23C24×D5314yes—
1232C23C24×D5311yescharacteristic
1233C23C24×D5311yescharacteristic
1234Q8—24no—
1235Q8—24no—
1236Q8—42no—
1237Q8—1068no—
1238Q8—1068no—
1239Q8—1068no—
1240Q8—1068no—
1241Q8—2124no—
1242Q8—21216no—
1243Q8—2124no—
1244D4—28no—
1245D4—28no—
1246D4—24no—
1247D4—24no—
1248D4—42no—
1249D4—44no—
1250D4—10616no—
1251D4—1068no—
1252D4—1068no—
1253D4—1068no—
1254D4—1068no—
1255D4—2124no—
1256D4—2124no—
1257D4—2128no—
1258D4—21216no—
1259D4—21216no—
1260C2×C4—22no—
1261C2×C4—22no—
1262C2×C4—22no—
1263C2×C4—22no—
1264C2×C4—22no—
1265C2×C4—22no—
1266C2×C4—28no—
1267C2×C4—22no—
1268C2×C4—22no—
1269C2×C4—22no—
1270C2×C4—22no—
1271C2×C4—28no—
1272C2×C4—22no—
1273C2×C4—22no—
1274C2×C4—22no—
1275C2×C4—28no—
1276C2×C4—41no—
1277C2×C4—41no—
1278C2×C4—41no—
1279C2×C4—538no—
1280C2×C4—538no—
1281C2×C4—538no—
1282C2×C4—1068no—
1283C2×C4—10616no—
1284C2×C4—2128no—
1285C2×C4—21216no—
1286C2×C4—21216no—
1287C2×C4—2124no—
1288C2×C4—2124no—
1289C2×C4—21216no—
1290C2×C4#1313326314yes—
1291C2×C4#1313326414yescomplemented
1292C2×C4C24×D5311yescharacteristic
1293C2×C4C24×D5314yes—
1294C2×C4C24×D5311yescharacteristic
1295C2×C4C24×D5311yescharacteristic
1296C2×C4C24×D5311yescharacteristic
1297C2×C4C24×D5311yescharacteristic
1298C2×C4C24×D5311yescharacteristic
1299C2×C4C24×D5311yescharacteristic
1300C2×C4C24×D5314yes—
1301C2×C4C24×D5314yes—
1302C2×C4C24×D5311yescharacteristic
1303C2×C4C24×D5311yescharacteristic
1304C2×C4C24×D5311yescharacteristic
1305C2×C4C24×D5311yescharacteristic
1306C2×C4C24×D5311yescharacteristic
1307C22—21no—
1308C22—21no—
1309C22—21no—
1310C22—21no—
1311C22—21no—
1312C22—24no—
1313C22—21no—
1314C22—24no—
1315C22—21no—
1316C22—24no—
1317C22—44no—
1318C22—1068no—
1319C22—1068no—
1320C22—1068no—
1321C22—4248no—
1322C22C2×#1313326312yes—
1323C22C2×#1313326412yes—
1324C22C25×D5311yescharacteristic
1325C4—21no—
1326C4—21no—
1327C4—24no—
1328C4—21no—
1329C4—21no—
1330C4—24no—
1331C4—21no—
1332C4—21no—
1333C4—21no—
1334C4—24no—
1335C4—1068no—
1336C4—1068no—
1337C4—1068no—
1338C4C2×#1313326312yes—
1339C4C2×#1313326312yes—
1340C4C2×#1313326412yes—
1341C4C2×#1313326412yes—
1342C4#1681145912yes—
1343C2—22no—
1344C2—22no—
1345C2—41no—
1346C2—44no—
1347C2—2128no—
1348C2C22×#1313326311yescharacteristic
1349C2C22×#1313326411yescharacteristic
1350C2C2×#1681145911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3444C2
hypercenter#3444D53
hypocenterC53#62835
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #20289285C2semidirect
2. #20289246C2semidirect
3. #20289188C2semidirect
4. #20289126C2semidirect
5. #20289113C2semidirect
6. #20289106C2semidirect
7. #20288942C2semidirect
8. #20288798C2semidirect
9. #20288766C2semidirect
10. #20288626C2semidirect
11. #20288626C2semidirect
12. #20288591C2semidirect
13. #20288582C2semidirect
14. #20288564C2semidirect
15. #20288534C2semidirect
16. #20288516C2semidirect
17. #20288500C2semidirect
18. #20288481C2semidirect
19. #20288452C2semidirect
20. #20288387C2semidirect
21. C2×#16811180C2semidirect
22. C2×#16811173C2semidirect
23. C53×#3444C2semidirect
24. C2×#13133264C22semidirect
26. #16811377C22semidirect
27. #16811370C22semidirect
28. #16811367C22semidirect
29. #16811358C22semidirect
30. #16811358C22semidirect
31. #16811355C22semidirect
32. Q8×Dic106C22semidirect
33. #16811352C22semidirect
34. #16811347C22semidirect
35. #16811346C22semidirect
36. #16811346C22semidirect
37. #16811338C22semidirect
38. #16811338C22semidirect
39. #16811334C22semidirect
40. #16811333C22semidirect
41. #16811333C22semidirect
43. #16811330C22semidirect
44. #16811329C22semidirect
45. #16811319C22semidirect
46. #16811319C22semidirect
47. #16811319C22semidirect
48. #16811311C22semidirect
50. #16811294C22semidirect
51. #16811294C22semidirect
52. #16811293C22semidirect
53. Q8×D212C22semidirect
54. Q8×D212C22semidirect
56. D4×Dic106C22semidirect
57. #16811288C22semidirect
58. #16811282C22semidirect
59. #16811282C22semidirect
60. #16811282C22semidirect
61. #16811281C22semidirect
62. #16811278C22semidirect
63. #16811278C22semidirect
64. #16811277C22semidirect
65. #16811277C22semidirect
66. #16811277C22semidirect
67. #16811277C22semidirect
68. #16811271C22semidirect
73. #16811251C22semidirect
75. #16811246C22semidirect
76. #16811244C22semidirect
77. #16811244C22semidirect
78. #16811244C22semidirect
79. #16811239C22semidirect
80. #16811228C22semidirect
81. #16811226C22semidirect
82. #16811222C22semidirect
83. #16811214C22semidirect
85. #16811202C22semidirect
86. #16811201C22semidirect
87. #16811201C22semidirect
88. #16811200C22semidirect
89. #16811199C22semidirect
90. #16811199C22semidirect
91. #16811196C22semidirect
97. #16811180C22semidirect
98. #16811180C22semidirect
99. #16811180C22semidirect
100. #16811180C22semidirect
101. #16811180C22semidirect
110. #16811173C22semidirect
111. #16811173C22semidirect
112. #16811168C22semidirect
114. C2×#13133217C22semidirect
115. C2×#13133217C22semidirect
116. C2×#13133217C22semidirect
118. #16811159C22semidirect
119. C2×#13133209C22semidirect
128. #16811103C22semidirect
129. #16811103C22semidirect
131. C2×C4×Dic106C22semidirect
132. C2×C4×Dic106C22semidirect
137. C53×#533C22semidirect
138. C53×#533C22semidirect
140. C53×#532C22semidirect
141. C53×#532C22semidirect
144. C53×#529C22semidirect
145. C53×#529C22semidirect
146. C53×#529C22semidirect
147. C53×#529C22semidirect
152. C4×#41×C53C22semidirect
153. C4×#41×C53C22semidirect
587. C2×C4×C532−1+4semidirect
688. #3444D53semidirect
778. #533C2×D53semidirect
779. #533C2×D53semidirect
792. #532C2×D53semidirect
793. #532C2×D53semidirect
802. #529C2×D53semidirect
803. #529C2×D53semidirect
804. #529C2×D53semidirect
805. #529C2×D53semidirect
822. C4×#41C2×D53semidirect
823. C4×#41C2×D53semidirect
830. C53#62835semidirect
1291. C2×C4#13133264semidirect

Maximal subgroups

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

subgroupindex
#202892852
#202892462
#202891882
#202891262
#202891132
#202891062
#202889422
#202887982
#202887662
#202886262
#202885912
#202885822
#202885642
#202885342
#202885162
#202885002
#202884812
#202884522
#202883872
C2×#168111802
C2×#168111732
C53×#34442
#6283553