Finite Group Databasebeta

← #28292988

Subgroups — #28292988

Order 13568.

7900 conjugacy classes of subgroups.

The subgroup lattice has 1410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289236C214yesmaximal, complemented
2#20289227C214yesmaximal, complemented
3#20289118C212yesmaximal, complemented
4#20289109C212yesmaximal, complemented
5#20289078C218yesmaximal, complemented
6#20288954C211yesmaximal, characteristic, complemented
7#20288950C212yesmaximal, complemented
8#20288743C214yesmaximal, complemented
9#20288734C214yesmaximal, complemented
10#20288617C214yesmaximal, complemented
11#20288590C212yesmaximal, complemented
12#20288587C212yesmaximal, complemented
13#20288562C214yesmaximal, complemented
14#20288487C214yesmaximal, complemented
15#20288476C214yesmaximal, complemented
16#20288375C218yesmaximal, complemented
17#20288007C211yesmaximal, characteristic, complemented
18C2×#16811168C212yesmaximal, complemented
19C53×#3537C211yesmaximal, characteristic, complemented
20C2×#13133262C2218yescomplemented
21C22×#11719947C2214yescomplemented
22#16811370C2218yescomplemented
23#16811366C2214yescomplemented
24#16811365C2214yescomplemented
25#16811363C2214yescomplemented
26#16811361C2218yescomplemented
27#16811357C2218yescomplemented
28#16811355C2218yescomplemented
29#16811340C2218yescomplemented
30#16811337C2214yescomplemented
31#16811336C2214yescomplemented
32#16811335C2214yescomplemented
33#16811332C2214yescomplemented
34#16811329C2214yescomplemented
35#16811325C2214yescomplemented
36#16811324C2218yescomplemented
37#16811321C2214yescomplemented
38#16811319C2214yescomplemented
39#16811316C2218yescomplemented
40#16811294C2214yescomplemented
41#16811293C2218yescomplemented
42#16811293C2214yescomplemented
43#16811291C2218yescomplemented
44#16811291C2218yescomplemented
45#16811282C2218yescomplemented
46#16811279C2218yescomplemented
47#16811271C2218yescomplemented
48#16811271C2218yescomplemented
49#16811268C2218yescomplemented
50#16811267C2218yescomplemented
51#16811265C2218yescomplemented
52#16811265C2218yescomplemented
53#16811262C2218yescomplemented
54#16811262C2218yescomplemented
55#16811260C2218yescomplemented
56#16811260C2218yescomplemented
57#16811260C2218yescomplemented
58#16811260C2218yescomplemented
59D4×D212C2214yescomplemented
60#16811257C2214yescomplemented
61#16811257C2214yescomplemented
62D4×C22⋊D53C2214yescomplemented
63D4×C22⋊D53C2218yescomplemented
64D4×C22⋊D53C2218yescomplemented
65D4×C22⋊D53C2214yescomplemented
66#16811255C2218yescomplemented
67#16811255C2214yescomplemented
68#16811255C2214yescomplemented
69#16811255C2218yescomplemented
70#16811241C2218yescomplemented
71#16811239C2218yescomplemented
72#16811229C2212yescomplemented
73#16811228C2212yescomplemented
74#16811227C2212yescomplemented
75#16811226C2214yescomplemented
76#16811226C2214yescomplemented
77#16811213C2214yescomplemented
78#16811212C2218yescomplemented
79#16811211C2214yescomplemented
80#16811210C2214yescomplemented
81#16811210C2218yescomplemented
82#16811209C2218yescomplemented
83#16811208C2218yescomplemented
84#16811202C2218yescomplemented
85#16811200C2218yescomplemented
86#16811200C2218yescomplemented
87#16811189C2218yescomplemented
88#16811189C2214yescomplemented
89#16811188C2218yescomplemented
90#16811188C2218yescomplemented
91#16811188C2218yescomplemented
92#16811187C2212yescomplemented
93#16811186C2218yescomplemented
94#16811185C2214yescomplemented
95#16811181C2214yescomplemented
96#16811181C2214yescomplemented
97#16811179C2212yescomplemented
98#16811176C2211yescharacteristic, complemented
99#16811176C2212yescomplemented
100#16811175C2212yescomplemented
101#16811170C2214yescomplemented
102#16811169C2211yescharacteristic, complemented
103#16811168C2212yescomplemented
104#16811168C2214yescomplemented
105#16811168C2214yescomplemented
106#16811168C2214yescomplemented
107#16811168C2214yescomplemented
108#16811168C2214yescomplemented
109#16811168C2214yescomplemented
110#16811168C2214yescomplemented
111#16811168C2214yescomplemented
112#16811168C2214yescomplemented
113C2×#13133216C2212yescomplemented
114C2×#13133213C2212yescomplemented
115C2×#13133213C2212yescomplemented
116#127×D53C2212yescomplemented
117#16811159C2212yescomplemented
118#16811154C2212yescomplemented
119#16811153C2214yescomplemented
120#16811150C2214yescomplemented
121C2×#13133203C2214yescomplemented
122#16811134C2211yescharacteristic, complemented
123#16811132C2218yescomplemented
124#16811129C2214yescomplemented
125#16811129C2218yescomplemented
126C2×#13133191C2212yescomplemented
127C2×#13133189C2214yescomplemented
128C2×#13133189C2218yescomplemented
129#121×D53C2218yescomplemented
130#16811102C2218yescomplemented
131#16811098C2212yescomplemented
132#16811097C2212yescomplemented
133#16811095C2214yescomplemented
134#41×Dic53C2211yescharacteristic, complemented
135#16811091C2211yescharacteristic, complemented
136C4×#11719947C2214yescomplemented
137C2×D4×Dic53C2212yescomplemented
138C2×#13133179C2212yescomplemented
139C2×#13133177C2214yescomplemented
140C22×C4×Dic53C2211yescharacteristic, complemented
141C53×#560C2214yescomplemented
142C53×#553C2214yescomplemented
143D42×C53C2214yescomplemented
144D42×C53C2214yescomplemented
145C53×#540C2212yescomplemented
146C53×#538C2214yescomplemented
147C53×#535C2212yescomplemented
148C53×#534C2214yescomplemented
149C53×#525C2211yescharacteristic, complemented
150C2×#121×C53C2212yescomplemented
151#13133262—432no—
152C2×#11719945C2318yes—
153C2×#11719945C2318yes—
154C2×#11719945C2311yescharacteristic
155C2×#11719947—416no—
156C2×#11719947C2314yes—
157C2×#11719947C2318yes—
158C2×#11719947C2318yes—
159C2×#11719947C2318yes—
160C2×#11719947C2318yes—
161C2×#11719947C2318yes—
162C2×#11719947C2318yes—
163C22×Dic106C2314yes—
164C22×D212C2312yes—
165C22×D212C2312yes—
166C22×C22⋊D53C2314yes—
167C22×C22⋊D53C2314yes—
168C22×C22⋊D53C2318yes—
169C22×C22⋊D53C2318yes—
170C22×C22⋊D53C2314yes—
171C22×C22⋊D53C2318yes—
172C2×D4×D53C2318yes—
173C2×D4×D53C2318yes—
174C2×D4×D53C2318yes—
175C2×D4×D53C2314yes—
176C2×D4×D53C2318yes—
177C23×Dic53C2312yes—
178C23×Dic53C2314yes—
179C22×C4×D53C2314yes—
180#13133216C2312yes—
181#13133216C2314yes—
182#13133216C2314yes—
183#13133216C2314yes—
184#13133216C2314yes—
185#13133215C2311yescharacteristic
186#13133214C2312yes—
187#13133213C2318yes—
188#13133213C2318yes—
189#13133213C2314yes—
190#13133213C2318yes—
191#13133213C2314yes—
192#13133213C2314yes—
193#13133213C2314yes—
194#13133213C2314yes—
195#13133213C2314yes—
196#13133213C2311yescharacteristic
197#13133212C2318yes—
198#13133212C2318yes—
199#13133212C2314yes—
200#13133210C2318yes—
201#13133210C2314yes—
202#13133209C2312yes—
203#13133208C2314yes—
204#13133208C2312yes—
205#13133207C2314yes—
206#13133206C2314yes—
207#13133206C2311yescharacteristic
208#13133205C2318yes—
209#13133204C2318yes—
210#13133204C2311yescharacteristic
211#13133203C2314yes—
212#13133203C2318yes—
213#13133203C2318yes—
214#13133203C2318yes—
215#13133203C2318yes—
216#13133203C2318yes—
217#13133203C2318yes—
218#13133203C2318yes—
219#13133203C2318yes—
220#13133203C2318yes—
221#13133202C2318yes—
222#13133202C2318yes—
223#13133202C2318yes—
224#13133201C2314yes—
225#13133201C2318yes—
226#13133201C2318yes—
227#13133201C2318yes—
228#13133200C2312yes—
229#13133199C2318yes—
230#13133199C2318yes—
231#13133199C2318yes—
232#13133198C2314yes—
233#13133198C2318yes—
234#13133197C2318yes—
235#13133196C2318yes—
236#13133196C2312yes—
237#13133195C2318yes—
238#13133195C2318yes—
239#13133195C2318yes—
240#13133194C2318yes—
241#13133194C2318yes—
242#13133194C2318yes—
243#13133194C2314yes—
244#13133194C2314yes—
245#13133192C2318yes—
246#13133192C2318yes—
247#13133192C2314yes—
248#13133191C2318yes—
249#13133191C2318yes—
250#13133191C2314yes—
251#13133191C2314yes—
252#13133191C2314yes—
253#13133191C2314yes—
254#13133191C2314yes—
255#13133191C2312yes—
256#13133190C2318yes—
257#13133190C2318yes—
258#13133190C2318yes—
259#13133190C2318yes—
260#13133190C2318yes—
261#13133190C2318yes—
262#13133190C2318yes—
263#13133189C2318yes—
264#13133189C2318yes—
265#13133189C2318yes—
266#13133189C2318yes—
267#13133189C2318yes—
268#13133189C2318yes—
269#13133189C2318yes—
270#13133189C2318yes—
271#13133189C2318yes—
272#13133189C2318yes—
273#13133189C2318yes—
274#13133189C2318yes—
275#13133189C2318yes—
276#13133189C2314yes—
277#13133189C2318yes—
278#13133189C2318yes—
279#13133189C2314yes—
280#13133188C2318yes—
281#13133188C2318yes—
282#13133188C2318yes—
283#13133188C2314yes—
284#13133187C2318yes—
285#13133187C2318yes—
286#13133187C2318yes—
287#13133187C2318yes—
288#13133187C2318yes—
289#13133186C2318yes—
290#13133186C2318yes—
291#13133186C2312yes—
292#13133185C2318yes—
293#13133185C2318yes—
294#13133185C2314yes—
295#13133185C2318yes—
296#13133185C2314yes—
297#13133185C2318yes—
298#13133185C2318yes—
299Q8×Dic53C2312yes—
300C4×Dic106C2318yes—
301C4×Dic106C2314yes—
302#13133182C2318yes—
303#13133182C2314yes—
304#13133182C2312yes—
305C4×D212C2318yes—
306C4×D212C2314yes—
307D4×Dic53C2318yes—
308D4×Dic53C2314yes—
309D4×Dic53C2314yes—
310D4×Dic53C2318yes—
311D4×Dic53C2314yes—
312D4×Dic53C2314yes—
313D4×Dic53C2314yes—
314D4×Dic53C2314yes—
315D4×Dic53C2314yes—
316D4×Dic53C2312yes—
317#13133179C2312yes—
318#13133179C2314yes—
319#13133179C2314yes—
320#13133179C2314yes—
321#13133179C2314yes—
322#13133179C2314yes—
323C4×C22⋊D53C2318yes—
324C4×C22⋊D53C2318yes—
325C4×C22⋊D53C2318yes—
326C4×C22⋊D53C2314yes—
327C4×C22⋊D53C2314yes—
328#13133177C2318yes—
329#13133177C2318yes—
330#13133177C2318yes—
331#13133177C2314yes—
332#13133177C2318yes—
333#13133177C2314yes—
334#13133177C2318yes—
335#13133177C2314yes—
336#13133177C2318yes—
337#13133177C2318yes—
338#13133176C2312yes—
339#13133176C2312yes—
340#13133176C2311yescharacteristic
341#13133175C2314yes—
342#13133175C2314yes—
343#13133174C2318yes—
344#13133174C2312yes—
345#13133173C2318yes—
346#13133173C2314yes—
347#13133173C2314yes—
348C2×C4⋊Dic53C2312yes—
349C2×#11719919C2318yes—
350C2×#11719919C2314yes—
351C4⋊C4×D53C2318yes—
352C2×C22⋊Dic53C2314yes—
353C2×C22⋊Dic53C2318yes—
354C2×#11719921C2318yes—
355C2×#11719921C2314yes—
356C2×#11719921C2314yes—
357C22⋊C4×D53C2318yes—
358C22⋊C4×D53C2318yes—
359C2×C4×Dic53C2312yes—
360C2×C4×Dic53C2312yes—
361C2×C4×Dic53C2312yes—
362C2×C4×Dic53C2311yescharacteristic
363C2×C4×Dic53C2312yes—
364C2×C4×Dic53C2312yes—
365C2×C4×Dic53C2311yescharacteristic
366C2×C4×Dic53C2312yes—
367C42×D53C2312yes—
368C2×#41×C53C2311yescharacteristic
369C22×D4×C53C2318yes—
370C22×D4×C53C2312yes—
371C22×D4×C53C2314yes—
372C22×D4×C53C2312yes—
373C23×C4×C53C2311yescharacteristic
374#127×C53C2314yes—
375#127×C53C2312yes—
376#126×C53C2318yes—
377#125×C53C2312yes—
378#124×C53C2314yes—
379#123×C53C2318yes—
380#123×C53C2318yes—
381#123×C53C2312yes—
382C22⋊Q8×C53C2312yes—
383#121×C53C2318yes—
384#121×C53C2318yes—
385#121×C53C2318yes—
386#121×C53C2314yes—
387#121×C53C2314yes—
388#121×C53C2314yes—
389#121×C53C2314yes—
390#121×C53C2312yes—
391#121×C53C2314yes—
392#120×C53C2312yes—
393#120×C53C2314yes—
394#120×C53C2318yes—
395#120×C53C2314yes—
396#120×C53C2318yes—
397C4×D4×C53C2318yes—
398C4×D4×C53C2314yes—
399C4×D4×C53C2314yes—
400#117×C53C2311yescharacteristic
401#117×C53C2312yes—
402C2×C4⋊C4×C53C2312yes—
403C2×C22⋊C4×C53C2314yes—
404C24×C53C2411yescharacteristic
405C24×C53C2414yes—
406C24×C53C2414yes—
407C23×D53C2414yes—
408C23×D53C2414yes—
409C23×D53C2418yes—
410#41×C53—42no—
411C2×Q8×C53C2411yescharacteristic
412C2×D4×C53—44no—
413C2×D4×C53—44no—
414C2×D4×C53—48no—
415C2×D4×C53—416no—
416C2×D4×C53C2418yes—
417C2×D4×C53C2414yes—
418C2×D4×C53C2414yes—
419C2×D4×C53C2411yescharacteristic
420C2×D4×C53C2412yes—
421C2×D4×C53C2414yes—
422C2×D4×C53C2418yes—
423C2×D4×C53C2418yes—
424C2×D4×C53C2414yes—
425C2×D4×C53C2418yes—
426C22×C4×C53—42no—
427C22×C4×C53C2412yes—
428C22×C4×C53C2412yes—
429C22×C4×C53C2411yescharacteristic
430C22×C4×C53C2412yes—
431C22×C4×C53C2414yes—
432C22×C4×C53C2418yes—
433C22×C4×C53C2411yescharacteristic
434C2×C22⋊D53—216no—
435C2×C22⋊D53—48no—
436C2×C22⋊D53—416no—
437C2×C22⋊D53—416no—
438C2×C22⋊D53—48no—
439C2×C22⋊D53—416no—
440C2×C22⋊D53C2418yes—
441C2×C22⋊D53C2418yes—
442C2×C22⋊D53C2418yes—
443C2×C22⋊D53C2414yes—
444C2×C22⋊D53C2414yes—
445C2×C22⋊D53C2418yes—
446C2×C22⋊D53C2412yes—
447C2×C22⋊D53C2418yes—
448C2×C22⋊D53C2418yes—
449C2×C22⋊D53C2418yes—
450C2×C22⋊D53C2418yes—
451C2×C22⋊D53C2418yes—
452C2×C22⋊D53C2418yes—
453C2×C22⋊D53C2418yes—
454C22×Dic53—28no—
455C22×Dic53—48no—
456C22×Dic53C2412yes—
457C22×Dic53C2412yes—
458C22×Dic53C2412yes—
459C22×Dic53C2412yes—
460C22×Dic53C2412yes—
461C22×Dic53C2414yes—
462C22×Dic53C2418yes—
463C22×Dic53C2414yes—
464C22×Dic53C2418yes—
465C22×Dic53C2418yes—
466C22×Dic53C2412yes—
467#11719947—232no—
468#11719947—216no—
469#11719947—416no—
470#11719947—416no—
471#11719947—416no—
472#11719947—416no—
473#11719947—416no—
474D4×D53—48no—
475D4×D53—416no—
476D4×D53—416no—
477D4×D53—416no—
478D4×D53—416no—
479#11719945—416no—
480#11719945—416no—
481#11719945—42no—
482C2×D212—44no—
483C2×D212—44no—
484C2×D212C2414yes—
485C2×D212C2411yescharacteristic
486C2×D212C2414yes—
487C2×D212C2414yes—
488C2×D212C2418yes—
489C2×D212C2418yes—
490C2×C4×D53—48no—
491C2×C4×D53C2412yes—
492C2×C4×D53C2414yes—
493C2×C4×D53C2418yes—
494C2×C4×D53C2418yes—
495C2×C4×D53C2418yes—
496C2×C4×D53C2418yes—
497C2×Dic106—48no—
498C2×Dic106C2414yes—
499C2×Dic106C2418yes—
500C2×Dic106C2411yescharacteristic
501C2×Dic106C2418yes—
502C4⋊C4×C53C2414yes—
503C4⋊C4×C53C2414yes—
504C4⋊C4×C53C2412yes—
505C4⋊C4×C53C2414yes—
506C4⋊C4×C53C2418yes—
507C22⋊C4×C53C2418yes—
508C22⋊C4×C53C2418yes—
509C22⋊C4×C53C2414yes—
510C22⋊C4×C53C2412yes—
511C22⋊C4×C53C2414yes—
512C22⋊C4×C53C2418yes—
513C22⋊C4×C53C2418yes—
514C22⋊C4×C53C2414yes—
515C42×C53C2412yes—
516C42×C53C2414yes—
517C22⋊Dic53C2414yes—
518C22⋊Dic53C2418yes—
519C22⋊Dic53C2414yes—
520C22⋊Dic53C2418yes—
521C22⋊Dic53C2418yes—
522C22⋊Dic53C2414yes—
523C22⋊Dic53C2414yes—
524C22⋊Dic53C2418yes—
525C22⋊Dic53C2412yes—
526#11719921C2414yes—
527#11719921C2418yes—
528#11719921C2418yes—
529#11719921C2418yes—
530#11719921C2418yes—
531#11719921C2418yes—
532#11719921C2418yes—
533#11719921C2418yes—
534#11719921C2418yes—
535#11719921C2418yes—
536#11719921C2414yes—
537#11719921C2414yes—
538C4⋊Dic53C2418yes—
539C4⋊Dic53C2414yes—
540C4⋊Dic53C2414yes—
541C4⋊Dic53C2414yes—
542C4⋊Dic53C2414yes—
543C4⋊Dic53C2412yes—
544#11719919C2414yes—
545#11719919C2418yes—
546#11719919C2418yes—
547#11719919C2418yes—
548#11719919C2418yes—
549#11719919C2414yes—
550#11719919C2414yes—
551#11719919C2414yes—
552#11719919C2414yes—
553C4×Dic53C2411yescharacteristic
554C4×Dic53C2414yes—
555C4×Dic53C2412yes—
556C4×Dic53C2411yescharacteristic
557C4×Dic53C2411yescharacteristic
558C4×Dic53C2412yes—
559C4×Dic53C2412yes—
560C4×Dic53C2412yes—
561C4×Dic53C2412yes—
562C4×Dic53C2412yes—
563C4×Dic53C2411yescharacteristic
564C4×Dic53C2414yes—
565C4×Dic53C2412yes—
566C4×Dic53C2414yes—
567C4×Dic53C2418yes—
568C23×C53—24no—
569C23×C53—28no—
570C23×C53—41no—
571C23×C53—44no—
572C23×C53—44no—
573C23×C53—48no—
574C23×C53—44no—
575C23×C53C2511yescharacteristic
576C23×C53C2518yes—
577C23×C53C2512yes—
578C23×C53C2512yes—
579C22×D53—28no—
580C22×D53—44no—
581C22×D53—44no—
582C22×D53—44no—
583C22×D53—48no—
584C22×D53—48no—
585C22×D53—48no—
586C22×D53—48no—
587C22×D53C2518yes—
588C22×D53C2512yes—
589Q8×C53—41no—
590D4×C53—28no—
591D4×C53—216no—
592D4×C53—28no—
593D4×C53—48no—
594D4×C53—48no—
595D4×C53—48no—
596D4×C53—44no—
597D4×C53—44no—
598D4×C53—41no—
599D4×C53—42no—
600C2×C4×C53—24no—
601C2×C4×C53—24no—
602C2×C4×C53—22no—
603C2×C4×C53—44no—
604C2×C4×C53—48no—
605C2×C4×C53—42no—
606C2×C4×C53—41no—
607C2×C4×C53C2518yes—
608C2×C4×C53C2514yes—
609C2×C4×C53C2511yescharacteristic
610C2×C4×C53C2512yes—
611C2×C4×C53C2512yes—
612C2×C4×C53C2511yescharacteristic
613C22⋊D53—28no—
614C22⋊D53—216no—
615C22⋊D53—216no—
616C22⋊D53—216no—
617C22⋊D53—28no—
618C22⋊D53—216no—
619C22⋊D53—48no—
620C22⋊D53—48no—
621C22⋊D53—42no—
622C22⋊D53—48no—
623C22⋊D53—48no—
624C22⋊D53—48no—
625C22⋊D53—48no—
626C22⋊D53—48no—
627C2×Dic53—24no—
628C2×Dic53—24no—
629C2×Dic53—24no—
630C2×Dic53—216no—
631C2×Dic53—28no—
632C2×Dic53—24no—
633C2×Dic53—24no—
634C2×Dic53—44no—
635C2×Dic53—48no—
636C2×Dic53—48no—
637C2×Dic53H(5,𝔽2)18yescomplemented
638C2×Dic53C2512yes—
639C2×Dic53C2518yes—
640C2×Dic53C2514yes—
641C2×Dic53C2512yes—
642C2×Dic53C2512yes—
643C2×Dic53C2512yes—
644C2×Dic53C2512yes—
645D212—28no—
646D212—44no—
647D212—44no—
648D212—41no—
649D212—48no—
650D212—48no—
651C4×D53—24no—
652C4×D53—216no—
653C4×D53—28no—
654C4×D53—48no—
655C4×D53—48no—
656C4×D53—48no—
657Dic106—216no—
658Dic106—28no—
659Dic106—48no—
660Dic106—41no—
661#62834—531nomaximal, Sylow
662C22×C53—22no—
663C22×C53—22no—
664C22×C53—22no—
665C22×C53—28no—
666C22×C53—24no—
667C22×C53—28no—
668C22×C53—21no—
669C22×C53—28no—
670C22×C53—22no—
671C22×C53—44no—
672C22×C53—88no—
673C22×C53—164no—
674C22×C53C2×H(5,𝔽2)14yes—
675C22×C53C2611yescharacteristic
676C2×D53—28no—
677C2×D53—24no—
678C2×D53—28no—
679C2×D53—22no—
680C2×D53—28no—
681C2×D53—88no—
682C2×D53—164no—
683C2×D53—168no—
684C4×C53—28no—
685C4×C53—24no—
686C4×C53—21no—
687C4×C53—22no—
688C4×C53—22no—
689C4×C53#58512yes—
690Dic53—28no—
691Dic53—24no—
692Dic53—22no—
693Dic53—22no—
694Dic53—22no—
695Dic53C2×H(5,𝔽2)14yes—
696Dic53C2×H(5,𝔽2)14yes—
697#3558—534no—
698#3558—534no—
699#3549—532no—
700#3548—532no—
701#3546—538no—
702#3537—531no—
703#3537—532no—
704#3537D5311yescharacteristic, complemented
705#3519—534no—
706#3519—534no—
707#3511—534no—
708#3508—532no—
709#3508—532no—
710#3506—534no—
711#3498—534no—
712#3496—534no—
713#3488—538no—
714#3444—531no—
715C2×#532—532no—
716C2×C53—24no—
717C2×C53—42no—
718C2×C53—48no—
719C2×C53—41no—
720C2×C53C22×H(5,𝔽2)12yes—
721C2×C53C2×#58511yescharacteristic
722D53—48no—
723D53—42no—
724C2×H(5,𝔽2)—538no—
725C22×#41—534no—
726#562—538no—
727H(3,𝔽4)—534no—
728H(3,𝔽4)—534no—
729#560—534no—
730#560—538no—
731#560C2×D5314yescomplemented
732#559—538no—
733#559—538no—
734#556—538no—
735#555—534no—
736#555—534no—
737#555—534no—
738#554—534no—
739#554—534no—
740#553—538no—
741#553—538no—
742#553—534no—
743#553—534no—
744#553—534no—
745#553C2×D5314yescomplemented
746#550—538no—
747#550—534no—
748#550—538no—
749#550—538no—
750#550—534no—
751#548—538no—
752#548—538no—
753#547—538no—
754#547—538no—
755#546—538no—
756#546—538no—
757#546—538no—
758#546—538no—
759#546—538no—
760#546—538no—
761#546—538no—
762#546—538no—
763#546—538no—
764#546—538no—
765D42—538no—
766D42—538no—
767D42—534no—
768D42—534no—
769D42—534no—
770D42—534no—
771D42—534no—
772D42—538no—
773D42—534no—
774D42—538no—
775D42—534no—
776D42C2×D5314yescomplemented
777D42C2×D5314yescomplemented
778#542—538no—
779#542—538no—
780#540—532no—
781#540—532no—
782#540—534no—
783#540—534no—
784#540—532no—
785#540C2×D5312yescomplemented
786#538—538no—
787#538—538no—
788#538—534no—
789#538—534no—
790#538—538no—
791#538—538no—
792#538—534no—
793#538C2×D5314yescomplemented
794#537—538no—
795#537—538no—
796#537—538no—
797#535—532no—
798#535—538no—
799#535—538no—
800#535—534no—
801#535—538no—
802#535—538no—
803#535—538no—
804#535C2×D5312yescomplemented
805#534—534no—
806#534—534no—
807#534—534no—
808#534C2×D5314yescomplemented
809#533—532no—
810#533—532no—
811#533—531no—
812#533—532no—
813#532—531no—
814#532—534no—
815#532—534no—
816#532—534no—
817#532—534no—
818#532—534no—
819#532—534no—
820#532—534no—
821#532—534no—
822#532—532no—
823#532—534no—
824#532—534no—
825C2×C4⋊Q8—532no—
826C2×#127—532no—
827C2×#127—532no—
828C2×#127—532no—
829#529—534no—
830#529—532no—
831#529—532no—
832#529—534no—
833C2×#124—534no—
834#525—531no—
835#525—534no—
836#525—538no—
837#525—538no—
838#525C2×D5311yescharacteristic, complemented
839C2×#121—534no—
840C2×#121—538no—
841C2×#121—532no—
842C2×#121—538no—
843C2×#121C2×D5312yescomplemented
844#520—538no—
845#518—532no—
846#518—534no—
847#518—532no—
848C4×#41—531no—
849C4×#41—534no—
850C4×#41—531no—
851C2×C4×D4—532no—
852C2×C4×D4—532no—
853C2×C4×D4—534no—
854C22×C42—531no—
855C53#6283411yescharacteristic, complemented, Sylow
856H(5,𝔽2)—21232no—
857C2×#41—534no—
858C2×#41—538no—
859C2×#41—538no—
860C2×#41—538no—
861C2×#41—538no—
862C2×#41—538no—
863C2×#41—538no—
864C2×#41—531no—
865C2×#41—538no—
866C2×#41—538no—
867C2×#41—21216no—
868C2×#41C22×D5311yescharacteristic
869C22×Q8—534no—
870C22×D4—534no—
871C22×D4—534no—
872C22×D4—538no—
873C22×D4—538no—
874C22×D4—534no—
875C22×D4—538no—
876C22×D4—534no—
877C22×D4—538no—
878C22×D4—538no—
879C22×D4—538no—
880C22×D4—538no—
881C22×D4—532no—
882C22×D4—532no—
883C22×D4C22×D5312yes—
884C22×D4C22×D5312yes—
885C22×D4C22×D5314yes—
886C22×D4C22×D5318yes—
887C23×C4—532no—
888C23×C4—534no—
889C23×C4—534no—
890C23×C4C22×D5311yescharacteristic
891C4⋊Q8—531no—
892C4⋊Q8—534no—
893C4⋊Q8—534no—
894C4⋊Q8—534no—
895C4⋊Q8—534no—
896C4⋊Q8—532no—
897#127—534no—
898#127—534no—
899#127—534no—
900#127—534no—
901#127—538no—
902#127—538no—
903#127—534no—
904#127—531no—
905#127—538no—
906#127—534no—
907#127—532no—
908#127C22×D5312yes—
909#127C22×D5314yes—
910#126—534no—
911#126—538no—
912#126—538no—
913#126—534no—
914#126—538no—
915#126C22×D5318yes—
916#125—534no—
917#125—532no—
918#125—534no—
919#125—532no—
920#125C22×D5312yes—
921#124—531no—
922#124—534no—
923#124—531no—
924#124—538no—
925#124—538no—
926#124—538no—
927#124—538no—
928#124—538no—
929#124—534no—
930#124—538no—
931#124—538no—
932#124—538no—
933#124—538no—
934#124—538no—
935#124—538no—
936#124C22×D5314yes—
937#123—534no—
938#123—538no—
939#123—532no—
940#123—538no—
941#123—538no—
942#123—538no—
943#123—534no—
944#123—538no—
945#123—538no—
946#123—538no—
947#123—538no—
948#123—538no—
949#123—538no—
950#123C22×D5312yes—
951#123C22×D5318yes—
952#123C22×D5318yes—
953C22⋊Q8—532no—
954C22⋊Q8—538no—
955C22⋊Q8—538no—
956C22⋊Q8—538no—
957C22⋊Q8—538no—
958C22⋊Q8—538no—
959C22⋊Q8—534no—
960C22⋊Q8—534no—
961C22⋊Q8—538no—
962C22⋊Q8—538no—
963C22⋊Q8—538no—
964C22⋊Q8C22×D5312yes—
965#121—534no—
966#121—538no—
967#121—538no—
968#121—538no—
969#121—538no—
970#121—538no—
971#121—538no—
972#121—538no—
973#121—538no—
974#121—538no—
975#121—538no—
976#121—538no—
977#121—534no—
978#121—538no—
979#121—534no—
980#121—538no—
981#121—538no—
982#121—538no—
983#121—538no—
984#121—538no—
985#121—538no—
986#121—534no—
987#121—534no—
988#121—534no—
989#121—534no—
990#121—538no—
991#121—532no—
992#121—534no—
993#121—538no—
994#121—538no—
995#121—534no—
996#121—538no—
997#121—538no—
998#121—538no—
999#121—538no—
1000#121—538no—
1001#121—538no—
1002#121—538no—
1003#121—538no—
1004#121C22×D5318yes—
1005#121C22×D5314yes—
1006#121C22×D5314yes—
1007#121C22×D5314yes—
1008#121C22×D5314yes—
1009#121C22×D5312yes—
1010#121C22×D5314yes—
1011#121C22×D5318yes—
1012#121C22×D5318yes—
1013#120—532no—
1014#120—538no—
1015#120—538no—
1016#120—538no—
1017#120—534no—
1018#120—538no—
1019#120—534no—
1020#120—538no—
1021#120—538no—
1022#120—538no—
1023#120—538no—
1024#120—538no—
1025#120—538no—
1026#120—538no—
1027#120—538no—
1028#120C22×D5312yes—
1029#120C22×D5318yes—
1030#120C22×D5314yes—
1031#120C22×D5318yes—
1032#120C22×D5314yes—
1033C4×Q8—532no—
1034C4×Q8—534no—
1035C4×Q8—532no—
1036C4×Q8—538no—
1037C4×Q8—534no—
1038C4×Q8—538no—
1039C4×D4—534no—
1040C4×D4—534no—
1041C4×D4—534no—
1042C4×D4—534no—
1043C4×D4—534no—
1044C4×D4—534no—
1045C4×D4—532no—
1046C4×D4—538no—
1047C4×D4—534no—
1048C4×D4—538no—
1049C4×D4—534no—
1050C4×D4—534no—
1051C4×D4—538no—
1052C4×D4—538no—
1053C4×D4—538no—
1054C4×D4—534no—
1055C4×D4—534no—
1056C4×D4—534no—
1057C4×D4—534no—
1058C4×D4—532no—
1059C4×D4—534no—
1060C4×D4—538no—
1061C4×D4—538no—
1062C4×D4—538no—
1063C4×D4—538no—
1064C4×D4—534no—
1065C4×D4—534no—
1066C4×D4—534no—
1067C4×D4—538no—
1068C4×D4—538no—
1069C4×D4—538no—
1070C4×D4—538no—
1071C4×D4—534no—
1072C4×D4C22×D5314yes—
1073C4×D4C22×D5314yes—
1074C4×D4C22×D5318yes—
1075#117—532no—
1076#117—531no—
1077#117—532no—
1078#117—534no—
1079#117—534no—
1080#117—534no—
1081#117—534no—
1082#117—538no—
1083#117—532no—
1084#117—538no—
1085#117C22×D5311yescharacteristic
1086#117C22×D5312yes—
1087C2×C4⋊C4—534no—
1088C2×C4⋊C4—532no—
1089C2×C4⋊C4—538no—
1090C2×C4⋊C4—538no—
1091C2×C4⋊C4C22×D5312yes—
1092C2×C22⋊C4—534no—
1093C2×C22⋊C4—538no—
1094C2×C22⋊C4—534no—
1095C2×C22⋊C4—534no—
1096C2×C22⋊C4—538no—
1097C2×C22⋊C4—538no—
1098C2×C22⋊C4—538no—
1099C2×C22⋊C4C22×D5314yes—
1100C2×C42—532no—
1101C2×C42—532no—
1102C2×C42—532no—
1103C2×C42—532no—
1104C2×C42—531no—
1105C2×C42—532no—
1106C2×C42—532no—
1107C2×C42—531no—
1108C2×C42—532no—
1109C24—534no—
1110C24—538no—
1111C24—534no—
1112C24C23×D5311yescharacteristic
1113C24C23×D5314yes—
1114C24C23×D5314yes—
1115#41—42no—
1116#41—10632no—
1117#41—10616no—
1118#41—2122no—
1119#41—21216no—
1120#41—21216no—
1121#41—21216no—
1122#41—21216no—
1123#41—21216no—
1124#41—21216no—
1125#41—21216no—
1126C2×Q8—534no—
1127C2×Q8—538no—
1128C2×Q8—531no—
1129C2×Q8—538no—
1130C2×Q8—2128no—
1131C2×Q8C23×D5311yescharacteristic
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—48no—
1135C2×D4—416no—
1136C2×D4—538no—
1137C2×D4—534no—
1138C2×D4—534no—
1139C2×D4—538no—
1140C2×D4—538no—
1141C2×D4—538no—
1142C2×D4—532no—
1143C2×D4—538no—
1144C2×D4—538no—
1145C2×D4—538no—
1146C2×D4—538no—
1147C2×D4—538no—
1148C2×D4—538no—
1149C2×D4—538no—
1150C2×D4—534no—
1151C2×D4—531no—
1152C2×D4—534no—
1153C2×D4—534no—
1154C2×D4—538no—
1155C2×D4—538no—
1156C2×D4—10616no—
1157C2×D4—2124no—
1158C2×D4—2124no—
1159C2×D4—2128no—
1160C2×D4—21216no—
1161C2×D4—21216no—
1162C2×D4—2128no—
1163C2×D4—21216no—
1164C2×D4—21216no—
1165C2×D4—21216no—
1166C2×D4—21216no—
1167C2×D4—2128no—
1168C2×D4—21216no—
1169C2×D4C23×D5314yes—
1170C2×D4C23×D5318yes—
1171C2×D4C23×D5314yes—
1172C2×D4C23×D5311yescharacteristic
1173C2×D4C23×D5312yes—
1174C2×D4C23×D5314yes—
1175C2×D4C23×D5314yes—
1176C2×D4C23×D5318yes—
1177C2×D4C23×D5318yes—
1178C2×D4C23×D5318yes—
1179C22×C4—42no—
1180C22×C4—532no—
1181C22×C4—532no—
1182C22×C4—532no—
1183C22×C4—532no—
1184C22×C4—532no—
1185C22×C4—532no—
1186C22×C4—534no—
1187C22×C4—538no—
1188C22×C4—534no—
1189C22×C4—538no—
1190C22×C4—538no—
1191C22×C4—532no—
1192C22×C4—534no—
1193C22×C4—538no—
1194C22×C4—538no—
1195C22×C4—538no—
1196C22×C4—538no—
1197C22×C4—1068no—
1198C22×C4—2128no—
1199C22×C4—2128no—
1200C22×C4C23×D5312yes—
1201C22×C4C23×D5311yescharacteristic
1202C22×C4C23×D5312yes—
1203C22×C4C23×D5312yes—
1204C22×C4C23×D5311yescharacteristic
1205C22×C4C23×D5314yes—
1206C22×C4C23×D5318yes—
1207C4⋊C4—534no—
1208C4⋊C4—538no—
1209C4⋊C4—534no—
1210C4⋊C4—538no—
1211C4⋊C4—534no—
1212C4⋊C4—538no—
1213C4⋊C4—538no—
1214C4⋊C4—538no—
1215C4⋊C4—534no—
1216C4⋊C4—534no—
1217C4⋊C4—534no—
1218C4⋊C4—534no—
1219C4⋊C4—534no—
1220C4⋊C4—534no—
1221C4⋊C4—532no—
1222C4⋊C4C23×D5318yes—
1223C4⋊C4C23×D5314yes—
1224C4⋊C4C23×D5314yes—
1225C4⋊C4C23×D5314yes—
1226C4⋊C4C23×D5312yes—
1227C22⋊C4—534no—
1228C22⋊C4—538no—
1229C22⋊C4—534no—
1230C22⋊C4—538no—
1231C22⋊C4—538no—
1232C22⋊C4—534no—
1233C22⋊C4—534no—
1234C22⋊C4—538no—
1235C22⋊C4—532no—
1236C22⋊C4—534no—
1237C22⋊C4—538no—
1238C22⋊C4—538no—
1239C22⋊C4—538no—
1240C22⋊C4—538no—
1241C22⋊C4—538no—
1242C22⋊C4—538no—
1243C22⋊C4—538no—
1244C22⋊C4—534no—
1245C22⋊C4—534no—
1246C22⋊C4—538no—
1247C22⋊C4—538no—
1248C22⋊C4C23×D5314yes—
1249C22⋊C4C23×D5318yes—
1250C22⋊C4C23×D5318yes—
1251C22⋊C4C23×D5318yes—
1252C22⋊C4C23×D5314yes—
1253C22⋊C4C23×D5314yes—
1254C22⋊C4C23×D5318yes—
1255C22⋊C4C23×D5312yes—
1256C42—531no—
1257C42—531no—
1258C42—532no—
1259C42—532no—
1260C42—531no—
1261C42—532no—
1262C42—532no—
1263C42—532no—
1264C42—532no—
1265C42—531no—
1266C42—532no—
1267C42—534no—
1268C42—534no—
1269C42—538no—
1270C42—534no—
1271C42C23×D5312yes—
1272C42C23×D5314yes—
1273C23—24no—
1274C23—28no—
1275C23—41no—
1276C23—44no—
1277C23—44no—
1278C23—48no—
1279C23—44no—
1280C23—532no—
1281C23—538no—
1282C23—1068no—
1283C23—2128no—
1284C23—2128no—
1285C23—2128no—
1286C23—2124no—
1287C23—2128no—
1288C23—2124no—
1289C23—2124no—
1290C23C24×D5312yes—
1291C23C24×D5318yes—
1292C23C24×D5311yescharacteristic
1293C23C24×D5312yes—
1294Q8—41no—
1295Q8—10616no—
1296Q8—1068no—
1297Q8—2128no—
1298Q8—2121no—
1299D4—28no—
1300D4—216no—
1301D4—28no—
1302D4—48no—
1303D4—48no—
1304D4—44no—
1305D4—44no—
1306D4—48no—
1307D4—41no—
1308D4—42no—
1309D4—10616no—
1310D4—10616no—
1311D4—1068no—
1312D4—10616no—
1313D4—1068no—
1314D4—10616no—
1315D4—1068no—
1316D4—2124no—
1317D4—2124no—
1318D4—2128no—
1319D4—2128no—
1320D4—2121no—
1321D4—2128no—
1322D4—2128no—
1323D4—2128no—
1324D4—2128no—
1325D4—2128no—
1326D4—2128no—
1327D4—2128no—
1328D4—2122no—
1329C2×C4—24no—
1330C2×C4—22no—
1331C2×C4—24no—
1332C2×C4—41no—
1333C2×C4—42no—
1334C2×C4—44no—
1335C2×C4—48no—
1336C2×C4—538no—
1337C2×C4—532no—
1338C2×C4—532no—
1339C2×C4—532no—
1340C2×C4—532no—
1341C2×C4—532no—
1342C2×C4—538no—
1343C2×C4—534no—
1344C2×C4—10616no—
1345C2×C4—1068no—
1346C2×C4—1064no—
1347C2×C4—1064no—
1348C2×C4—1064no—
1349C2×C4—1064no—
1350C2×C4—10616no—
1351C2×C4—1068no—
1352C2×C4—1064no—
1353C2×C4—1064no—
1354C2×C4—2128no—
1355C2×C4—2128no—
1356C2×C4—2128no—
1357C2×C4—2124no—
1358C2×C4—2128no—
1359C2×C4—2128no—
1360C2×C4C24×D5312yes—
1361C2×C4C24×D5311yescharacteristic
1362C2×C4C24×D5312yes—
1363C2×C4C24×D5318yes—
1364C2×C4C24×D5314yes—
1365C2×C4C24×D5311yescharacteristic
1366C22—22no—
1367C22—22no—
1368C22—28no—
1369C22—22no—
1370C22—28no—
1371C22—24no—
1372C22—21no—
1373C22—22no—
1374C22—28no—
1375C22—44no—
1376C22—88no—
1377C22—164no—
1378C22—8488no—
1379C22—8484no—
1380C22—1068no—
1381C22—1064no—
1382C22—1068no—
1383C22—1062no—
1384C22—1068no—
1385C22—4248no—
1386C22H(5,𝔽2)×D5314yes—
1387C22C25×D5311yescharacteristic
1388C4—24no—
1389C4—28no—
1390C4—22no—
1391C4—21no—
1392C4—22no—
1393C4—534no—
1394C4—534no—
1395C4—1062no—
1396C4—1062no—
1397C4—1064no—
1398C4—1068no—
1399C4—1062no—
1400C4#1681145812yes—
1401C2—24no—
1402C2—41no—
1403C2—48no—
1404C2—42no—
1405C2—2122no—
1406C2—2128no—
1407C2C2×H(5,𝔽2)×D5312yes—
1408C2C2×#1681145811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3537C2
hypercenter#3537D53
hypocenterC53#62834
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3537

Complements

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

NH ≅ G/Ntype
1. #20289236C2semidirect
2. #20289227C2semidirect
3. #20289118C2semidirect
4. #20289109C2semidirect
5. #20289078C2semidirect
6. #20288954C2semidirect
7. #20288950C2semidirect
8. #20288743C2semidirect
9. #20288734C2semidirect
10. #20288617C2semidirect
11. #20288590C2semidirect
12. #20288587C2semidirect
13. #20288562C2semidirect
14. #20288487C2semidirect
15. #20288476C2semidirect
16. #20288375C2semidirect
17. #20288007C2semidirect
18. C2×#16811168C2semidirect
19. C53×#3537C2semidirect
20. C2×#13133262C22semidirect
21. C22×#11719947C22semidirect
22. #16811370C22semidirect
23. #16811366C22semidirect
24. #16811365C22semidirect
25. #16811363C22semidirect
26. #16811361C22semidirect
27. #16811357C22semidirect
28. #16811355C22semidirect
29. #16811340C22semidirect
30. #16811337C22semidirect
31. #16811336C22semidirect
32. #16811335C22semidirect
33. #16811332C22semidirect
34. #16811329C22semidirect
35. #16811325C22semidirect
36. #16811324C22semidirect
37. #16811321C22semidirect
38. #16811319C22semidirect
39. #16811316C22semidirect
40. #16811294C22semidirect
41. #16811293C22semidirect
42. #16811293C22semidirect
43. #16811291C22semidirect
44. #16811291C22semidirect
45. #16811282C22semidirect
46. #16811279C22semidirect
47. #16811271C22semidirect
48. #16811271C22semidirect
49. #16811268C22semidirect
50. #16811267C22semidirect
51. #16811265C22semidirect
52. #16811265C22semidirect
53. #16811262C22semidirect
54. #16811262C22semidirect
55. #16811260C22semidirect
56. #16811260C22semidirect
57. #16811260C22semidirect
58. #16811260C22semidirect
59. D4×D212C22semidirect
60. #16811257C22semidirect
61. #16811257C22semidirect
62. D4×C22⋊D53C22semidirect
63. D4×C22⋊D53C22semidirect
64. D4×C22⋊D53C22semidirect
65. D4×C22⋊D53C22semidirect
66. #16811255C22semidirect
67. #16811255C22semidirect
68. #16811255C22semidirect
69. #16811255C22semidirect
70. #16811241C22semidirect
71. #16811239C22semidirect
72. #16811229C22semidirect
73. #16811228C22semidirect
74. #16811227C22semidirect
75. #16811226C22semidirect
76. #16811226C22semidirect
77. #16811213C22semidirect
78. #16811212C22semidirect
79. #16811211C22semidirect
80. #16811210C22semidirect
81. #16811210C22semidirect
82. #16811209C22semidirect
83. #16811208C22semidirect
84. #16811202C22semidirect
85. #16811200C22semidirect
86. #16811200C22semidirect
87. #16811189C22semidirect
88. #16811189C22semidirect
89. #16811188C22semidirect
90. #16811188C22semidirect
91. #16811188C22semidirect
92. #16811187C22semidirect
93. #16811186C22semidirect
94. #16811185C22semidirect
95. #16811181C22semidirect
96. #16811181C22semidirect
97. #16811179C22semidirect
98. #16811176C22semidirect
99. #16811176C22semidirect
100. #16811175C22semidirect
101. #16811170C22semidirect
102. #16811169C22semidirect
103. #16811168C22semidirect
104. #16811168C22semidirect
105. #16811168C22semidirect
106. #16811168C22semidirect
107. #16811168C22semidirect
108. #16811168C22semidirect
109. #16811168C22semidirect
110. #16811168C22semidirect
111. #16811168C22semidirect
112. #16811168C22semidirect
113. C2×#13133216C22semidirect
114. C2×#13133213C22semidirect
115. C2×#13133213C22semidirect
116. #127×D53C22semidirect
117. #16811159C22semidirect
118. #16811154C22semidirect
119. #16811153C22semidirect
120. #16811150C22semidirect
121. C2×#13133203C22semidirect
122. #16811134C22semidirect
123. #16811132C22semidirect
124. #16811129C22semidirect
125. #16811129C22semidirect
126. C2×#13133191C22semidirect
127. C2×#13133189C22semidirect
128. C2×#13133189C22semidirect
129. #121×D53C22semidirect
130. #16811102C22semidirect
131. #16811098C22semidirect
132. #16811097C22semidirect
133. #16811095C22semidirect
134. #41×Dic53C22semidirect
135. #16811091C22semidirect
136. C4×#11719947C22semidirect
137. C2×D4×Dic53C22semidirect
138. C2×#13133179C22semidirect
139. C2×#13133177C22semidirect
140. C22×C4×Dic53C22semidirect
141. C53×#560C22semidirect
142. C53×#553C22semidirect
143. D42×C53C22semidirect
144. D42×C53C22semidirect
145. C53×#540C22semidirect
146. C53×#538C22semidirect
147. C53×#535C22semidirect
148. C53×#534C22semidirect
149. C53×#525C22semidirect
150. C2×#121×C53C22semidirect
637. C2×Dic53H(5,𝔽2)semidirect
704. #3537D53semidirect
731. #560C2×D53semidirect
745. #553C2×D53semidirect
776. D42C2×D53semidirect
777. D42C2×D53semidirect
785. #540C2×D53semidirect
793. #538C2×D53semidirect
804. #535C2×D53semidirect
808. #534C2×D53semidirect
838. #525C2×D53semidirect
843. C2×#121C2×D53semidirect
855. C53#62834semidirect

Maximal subgroups

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

subgroupindex
#202892362
#202892272
#202891182
#202891092
#202890782
#202889542
#202889502
#202887432
#202887342
#202886172
#202885902
#202885872
#202885622
#202884872
#202884762
#202883752
#202880072
C2×#168111682
C53×#35372
#6283453