Finite Group Databasebeta

← #28292693

Subgroups — #28292693

Order 13568.

7220 conjugacy classes of subgroups.

The subgroup lattice has 2042 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288826C211yesmaximal, characteristic, complemented
2#20288816C211yesmaximal, characteristic, complemented
3#20288805C211yesmaximal, characteristic, complemented
4#20288794C211yesmaximal, characteristic, complemented
5#20288785C213yesmaximal, complemented
6#20288771C213yesmaximal, complemented
7#20288754C213yesmaximal, complemented
8#20288737C213yesmaximal, complemented
9#20288726C211yesmaximal, characteristic, complemented
10#20288715C211yesmaximal, characteristic, complemented
11#20288710C211yesmaximal, characteristic, complemented
12#20288700C211yesmaximal, characteristic, complemented
13#20288683C213yesmaximal, complemented
14#20288666C213yesmaximal, complemented
15#20288657C213yesmaximal, complemented
16#20288643C213yesmaximal, complemented
17#20288308C213yesmaximal, complemented
18#41×Dic106C211yesmaximal, characteristic, complemented
19#20288279C213yesmaximal, complemented
20#20288269C213yesmaximal, complemented
21#20288269C213yesmaximal, complemented
22#41×D212C211yesmaximal, characteristic, complemented
23#41×C22⋊D53C211yesmaximal, characteristic, complemented
24#41×C22⋊D53C211yesmaximal, characteristic, complemented
25#20288105C213yesmaximal, complemented
26#20288100C213yesmaximal, complemented
27#20288008C213yesmaximal, complemented
28C2×#16811151C213yesmaximal, complemented
29#20287914C211yesmaximal, characteristic, complemented
30C4×#41×D53C211yesmaximal, characteristic, complemented
31C53×#3428C211yesmaximal, characteristic, complemented
32C2×#41×D53C2211yescharacteristic
33C2×#41×D53C2211yescharacteristic
34#16811358C2213yescomplemented
35#16811356C2213yescomplemented
36#16811356C2213yescomplemented
37Q8×Dic106C2211yescharacteristic, complemented
38#16811352C2211yescharacteristic, complemented
39#16811351C2213yescomplemented
40#16811349C2211yescharacteristic, complemented
41#16811349C2211yescharacteristic, complemented
42#16811346C2213yescomplemented
43#16811345C2213yescomplemented
44#16811345C2213yescomplemented
45#16811343C2213yescomplemented
46#16811341C2213yescomplemented
47#16811341C2213yescomplemented
48#16811338C2213yescomplemented
49#16811336C2213yescomplemented
50#16811336C2213yescomplemented
51#16811333C2213yescomplemented
52#16811332C2213yescomplemented
53#16811332C2213yescomplemented
54#16811330C2213yescomplemented
55#16811328C2213yescomplemented
56#16811328C2213yescomplemented
57#16811323C2213yescomplemented
58#16811323C2213yescomplemented
59#16811322C2216yescomplemented
60#16811322C2216yescomplemented
61#16811321C2213yescomplemented
62#16811321C2213yescomplemented
63#16811319C2216yescomplemented
64#16811317C2213yescomplemented
65#16811317C2213yescomplemented
66#16811314C2213yescomplemented
67#16811314C2213yescomplemented
68#16811313C2216yescomplemented
69#16811312C2213yescomplemented
70#16811312C2213yescomplemented
71#16811308C2213yescomplemented
72#16811308C2213yescomplemented
73#16811306C2216yescomplemented
74#16811306C2216yescomplemented
75#16811302C2216yescomplemented
76#16811302C2216yescomplemented
77#16811299C2216yescomplemented
78#16811299C2216yescomplemented
79#16811297C2216yescomplemented
80#16811297C2216yescomplemented
81#16811295C2211yescharacteristic, complemented
82#16811294C2213yescomplemented
83#16811292C2211yescharacteristic, complemented
84#16811292C2211yescharacteristic, complemented
85Q8×D212C2211yescharacteristic, complemented
86D4×Dic106C2213yescomplemented
87Q8×C22⋊D53C2211yescharacteristic, complemented
88Q8×C22⋊D53C2211yescharacteristic, complemented
89#16811285C2211yescharacteristic, complemented
90#16811285C2211yescharacteristic, complemented
91#16811284C2211yescharacteristic, complemented
92#16811284C2211yescharacteristic, complemented
93#16811282C2216yescomplemented
94#16811280C2211yescharacteristic, complemented
95#16811280C2211yescharacteristic, complemented
96#16811278C2213yescomplemented
97#16811277C2213yescomplemented
98#16811274C2213yescomplemented
99#16811274C2213yescomplemented
100#16811272C2213yescomplemented
101#16811272C2213yescomplemented
102#16811269C2216yescomplemented
103#16811268C2213yescomplemented
104#16811268C2213yescomplemented
105#16811267C2213yescomplemented
106#16811267C2213yescomplemented
107#16811263C2216yescomplemented
108#16811263C2216yescomplemented
109#16811261C2213yescomplemented
110#16811261C2213yescomplemented
111D4×D212C2213yescomplemented
112D4×C22⋊D53C2213yescomplemented
113D4×C22⋊D53C2213yescomplemented
114#16811245C2213yescomplemented
115#16811245C2213yescomplemented
116#16811244C2213yescomplemented
117#16811244C2213yescomplemented
118#16811244C2213yescomplemented
119#16811244C2213yescomplemented
120#16811238C2213yescomplemented
121#16811238C2213yescomplemented
122#16811235C2213yescomplemented
123#16811235C2213yescomplemented
124#16811231C2213yescomplemented
125#16811231C2213yescomplemented
126#16811228C2213yescomplemented
127#16811228C2213yescomplemented
128#16811224C2213yescomplemented
129#16811224C2213yescomplemented
130#16811220C2216yescomplemented
131#16811220C2216yescomplemented
132#16811215C2216yescomplemented
133#16811215C2216yescomplemented
134#16811211C2216yescomplemented
135#16811211C2216yescomplemented
136#16811206C2216yescomplemented
137#16811206C2216yescomplemented
138#16811180C2213yescomplemented
139#16811177C2213yescomplemented
140#16811177C2213yescomplemented
141#16811176C2213yescomplemented
142#16811176C2213yescomplemented
143#16811173C2213yescomplemented
144#16811170C2213yescomplemented
145#16811170C2213yescomplemented
146#16811169C2213yescomplemented
147#16811169C2213yescomplemented
148#16811160C2213yescomplemented
149#16811160C2213yescomplemented
150#16811157C2216yescomplemented
151#16811157C2216yescomplemented
152#16811155C2213yescomplemented
153#16811155C2213yescomplemented
154#16811153C2216yescomplemented
155#16811153C2216yescomplemented
156#16811151C2213yes—
157#16811151C2211yescharacteristic
158#16811151C2213yescomplemented
159#16811151C2213yescomplemented
160#16811151C2216yescomplemented
161#16811151C2216yescomplemented
162#16811151C2213yescomplemented
163#16811151C2213yescomplemented
164#16811151C2213yescomplemented
165#16811151C2213yescomplemented
166#16811151C2216yescomplemented
167#16811151C2213yescomplemented
168#16811151C2213yescomplemented
169#16811151C2213yescomplemented
170#16811151C2213yescomplemented
171#16811151C2213yescomplemented
172#16811151C2213yescomplemented
173#16811151C2213yescomplemented
174#16811151C2213yescomplemented
175C2×#13133212C2213yescomplemented
176C2×#13133210C2213yescomplemented
177C2×#13133207C2213yescomplemented
178C2×#13133203C2213yescomplemented
179#16811135C2213yescomplemented
180#16811135C2213yescomplemented
181#16811134C2213yescomplemented
182#16811134C2213yescomplemented
183#16811132C2216yescomplemented
184#16811132C2216yescomplemented
185#16811130C2213yescomplemented
186#16811130C2213yescomplemented
187C2×#13133202C2213yescomplemented
188C2×#13133199C2213yescomplemented
189C2×#13133195C2213yescomplemented
190C2×#13133190C2213yes—
191#16811105C2211yescharacteristic, complemented
192#16811105C2211yescharacteristic, complemented
193#16811102C2213yescomplemented
194#16811102C2213yescomplemented
195#16811099C2211yescharacteristic, complemented
196#16811099C2211yescharacteristic, complemented
197#16811095C2213yescomplemented
198#16811095C2213yescomplemented
199#41×Dic53C2211yescharacteristic
200#41×Dic53C2211yescharacteristic
201C4×#11719949C2211yescharacteristic, complemented
202C4×#11719949C2211yescharacteristic, complemented
203C4×#11719945C2216yescomplemented
204C4×#11719945C2216yescomplemented
205C4×#11719945C2213yescomplemented
206C4×#11719945C2213yescomplemented
207#16811091C2213yescomplemented
208#16811091C2213yescomplemented
209C4×#11719947C2213yescomplemented
210C4×#11719947C2213yescomplemented
211C2×C4×Dic106C2213yescomplemented
212C4×Q8×D53C2211yescharacteristic, complemented
213C4×Q8×D53C2211yescharacteristic, complemented
214C2×C4×D212C2213yescomplemented
215C2×C4×C22⋊D53C2213yescomplemented
216C2×C4×C22⋊D53C2213yescomplemented
217C4×D4×D53C2213yescomplemented
218C4×D4×D53C2213yescomplemented
219C2×#13133174C2213yescomplemented
220#117×D53C2213yescomplemented
221#117×D53C2213yescomplemented
222C2×C42×D53C2213yescomplemented
223C22×#41×C53C2211yescharacteristic
224C53×#520C2213yescomplemented
225C53×#520C2211yescharacteristic, complemented
226C53×#520C2213yescomplemented
227C53×#520C2211yescharacteristic, complemented
228C53×#519C2211yescharacteristic, complemented
229C53×#519C2211yescharacteristic, complemented
230C53×#518C2213yescomplemented
231C53×#518C2213yescomplemented
232C4×#41×C53C2211yescharacteristic
233C4×#41×C53C2211yescharacteristic
234C4×#41×C53C2213yescomplemented
235C4×#41×C53C2213yescomplemented
236C2×#117×C53C2213yescomplemented
237C2×#117×C53C2213yescomplemented
238C2×#11719949C2311yescharacteristic
239C2×#11719949C2311yescharacteristic
240C2×#11719945C2313yes—
241C2×#11719945C2313yes—
242C2×#11719945C2316yes—
243C2×#11719945C2316yes—
244C2×#11719947C2313yes—
245C2×#11719947C2313yes—
246#41×D53—28no—
247#41×D53—28no—
248C22×Dic106C2313yes—
249C2×Q8×D53C2311yescharacteristic
250C2×Q8×D53C2311yescharacteristic
251C22×D212C2313yes—
252C22×C22⋊D53C2313yes—
253C22×C22⋊D53C2313yes—
254C2×D4×D53C2313yes—
255C2×D4×D53C2313yes—
256C22×C4×D53C2313yes—
257C22×C4×D53C2313yes—
258C22×C4×D53C2313yes—
259C22×C4×D53C2313yes—
260#13133217C2313yes—
261#13133217C2313yes—
262#13133217C2313yes—
263#13133216C2313yes—
264#13133216C2313yes—
265#13133216C2313yes—
266#13133216C2313yes—
267#13133215C2313yes—
268#13133215C2313yes—
269#13133214C2313yes—
270#13133213C2313yes—
271#13133213C2313yes—
272#13133212C2313yes—
273#13133212C2316yes—
274#13133212C2313yes—
275#13133212C2316yes—
276#13133212C2313yes—
277#13133212C2313yes—
278#13133212C2311yescharacteristic
279#13133212C2313yes—
280#13133212C2313yes—
281#13133212C2313yes—
282#13133212C2316yes—
283#13133211C2316yes—
284#13133211C2316yes—
285#13133211C2316yes—
286#13133211C2316yes—
287#13133210C2313yes—
288#13133210C2316yes—
289#13133210C2313yes—
290#13133210C2313yes—
291#13133210C2316yes—
292#13133210C2313yes—
293#13133210C2311yescharacteristic
294#13133210C2313yes—
295#13133210C2313yes—
296#13133210C2313yes—
297#13133210C2316yes—
298#13133209C2316yes—
299#13133209C2316yes—
300#13133209C2313yes—
301#13133209C2313yes—
302#13133208C2313yes—
303#13133208C2313yes—
304#13133208C2313yes—
305#13133208C2313yes—
306#13133207C2313yes—
307#13133207C2316yes—
308#13133207C2313yes—
309#13133207C2313yes—
310#13133207C2316yes—
311#13133207C2313yes—
312#13133207C2311yescharacteristic
313#13133207C2313yes—
314#13133207C2313yes—
315#13133207C2313yes—
316#13133207C2316yes—
317#13133206C2313yes—
318#13133206C2313yes—
319#13133205C2313yes—
320#13133205C2313yes—
321#13133205C2316yes—
322#13133205C2316yes—
323#13133204C2313yes—
324#13133204C2313yes—
325#13133203C2313yes—
326#13133203C2316yes—
327#13133203C2313yes—
328#13133203C2316yes—
329#13133203C2313yes—
330#13133203C2313yes—
331#13133203C2311yescharacteristic
332#13133203C2313yes—
333#13133203C2313yes—
334#13133203C2313yes—
335#13133203C2316yes—
336#13133202C2313yes—
337#13133202C2316yes—
338#13133202C2313yes—
339#13133202C2316yes—
340#13133202C2313yes—
341#13133202C2313yes—
342#13133202C2311yescharacteristic
343#13133202C2313yes—
344#13133202C2313yes—
345#13133202C2313yes—
346#13133202C2316yes—
347#13133201C2316yes—
348#13133201C2316yes—
349#13133200C2316yes—
350#13133200C2316yes—
351#13133200C2316yes—
352#13133200C2316yes—
353#13133200C2316yes—
354#13133200C2316yes—
355#13133199C2313yes—
356#13133199C2316yes—
357#13133199C2313yes—
358#13133199C2316yes—
359#13133199C2313yes—
360#13133199C2313yes—
361#13133199C2311yescharacteristic
362#13133199C2313yes—
363#13133199C2313yes—
364#13133199C2313yes—
365#13133199C2316yes—
366#13133198C2316yes—
367#13133198C2316yes—
368#13133197C2313yes—
369#13133197C2313yes—
370#13133197C2313yes—
371#13133197C2313yes—
372#13133196C2313yes—
373#13133196C2313yes—
374#13133196C2316yes—
375#13133196C2313yes—
376#13133196C2313yes—
377#13133196C2316yes—
378#13133196C2316yes—
379#13133196C2316yes—
380#13133195C2313yes—
381#13133195C2316yes—
382#13133195C2313yes—
383#13133195C2316yes—
384#13133195C2313yes—
385#13133195C2313yes—
386#13133195C2311yescharacteristic
387#13133195C2313yes—
388#13133195C2313yes—
389#13133195C2313yes—
390#13133195C2316yes—
391#13133194C2316yes—
392#13133194C2316yes—
393#13133194C2316yes—
394#13133194C2316yes—
395#13133193C2313yes—
396#13133193C2313yes—
397#13133193C2313yes—
398#13133193C2313yes—
399#13133192C2313yes—
400#13133192C2313yes—
401#13133192C2313yes—
402#13133192C2313yes—
403#13133191C2316yes—
404#13133191C2316yes—
405#13133191C2313yes—
406#13133191C2313yes—
407#13133191C2316yes—
408#13133191C2313yes—
409#13133191C2313yes—
410#13133191C2316yes—
411#13133190C2313yes—
412#13133190C2316yes—
413#13133190C2313yes—
414#13133190C2313yes—
415#13133190C2316yes—
416#13133190C2313yes—
417#13133190C2311yescharacteristic
418#13133190C2313yes—
419#13133190C2313yes—
420#13133190C2313yes—
421#13133190C2316yes—
422#13133189C2316yes—
423#13133189C2316yes—
424#13133189C2316yes—
425#13133189C2316yes—
426#13133188C2313yes—
427#13133188C2313yes—
428#13133188C2313yes—
429#13133188C2313yes—
430#13133187C2316yes—
431#13133187C2316yes—
432#13133186C2316yes—
433#13133186C2316yes—
434#13133185C2316yes—
435#13133185C2316yes—
436Q8×Dic53C2311yescharacteristic
437Q8×Dic53C2311yescharacteristic
438Q8×Dic53C2311yescharacteristic
439Q8×Dic53C2311yescharacteristic
440C4×Dic106C2316yes—
441C4×Dic106C2313yes—
442C4×Dic106C2313yes—
443C4×Dic106C2316yes—
444C4×Dic106C2313yes—
445C4×Dic106C2313yes—
446C4×Dic106C2313yes—
447C4×Dic106C2313yes—
448C4×Dic106C2311yescharacteristic
449C4×Dic106C2313yes—
450C4×Dic106C2313yes—
451C4×Dic106C2313yes—
452C4×Dic106C2313yes—
453C4×Dic106C2313yes—
454C4×Dic106C2316yes—
455#13133182C2313yes—
456#13133182C2313yes—
457#13133182C2313yes—
458#13133182C2313yes—
459C4×D212C2313yes—
460C4×D212C2313yes—
461C4×D212C2316yes—
462C4×D212C2313yes—
463C4×D212C2313yes—
464C4×D212C2316yes—
465C4×D212C2313yes—
466C4×D212C2313yes—
467C4×D212C2311yescharacteristic
468C4×D212C2313yes—
469C4×D212C2313yes—
470C4×D212C2313yes—
471C4×D212C2313yes—
472C4×D212C2313yes—
473C4×D212C2316yes—
474D4×Dic53C2313yes—
475D4×Dic53C2313yes—
476D4×Dic53C2313yes—
477D4×Dic53C2313yes—
478#13133179C2313yes—
479#13133179C2313yes—
480#13133179C2313yes—
481#13133179C2313yes—
482C4×C22⋊D53C2313yes—
483C4×C22⋊D53C2313yes—
484C4×C22⋊D53C2313yes—
485C4×C22⋊D53C2313yes—
486C4×C22⋊D53C2313yes—
487C4×C22⋊D53C2313yes—
488C4×C22⋊D53C2313yes—
489C4×C22⋊D53C2313yes—
490C4×C22⋊D53C2316yes—
491C4×C22⋊D53C2316yes—
492C4×C22⋊D53C2316yes—
493C4×C22⋊D53C2316yes—
494C4×C22⋊D53C2316yes—
495C4×C22⋊D53C2316yes—
496C4×C22⋊D53C2311yescharacteristic
497C4×C22⋊D53C2311yescharacteristic
498C4×C22⋊D53C2313yes—
499C4×C22⋊D53C2313yes—
500C4×C22⋊D53C2313yes—
501C4×C22⋊D53C2313yes—
502C4×C22⋊D53C2313yes—
503C4×C22⋊D53C2313yes—
504C4×C22⋊D53C2316yes—
505C4×C22⋊D53C2316yes—
506C4×C22⋊D53C2316yes—
507C4×C22⋊D53C2316yes—
508#13133177C2316yes—
509#13133177C2316yes—
510#13133177C2316yes—
511#13133177C2316yes—
512#13133176C2316yes—
513#13133176C2316yes—
514#13133176C2313yes—
515#13133176C2313yes—
516#13133175C2313yes—
517#13133175C2313yes—
518#13133175C2313yes—
519#13133175C2313yes—
520#13133174C2316yes—
521#13133174C2316yes—
522#13133174C2316yes—
523#13133174C2316yes—
524#13133174C2313yes—
525#13133174C2316yes—
526#13133174C2311yescharacteristic
527#13133174C2313yes—
528#13133174C2313yes—
529#13133174C2313yes—
530#13133174C2313yes—
531#13133174C2313yes—
532#13133174C2313yes—
533#13133173C2316yes—
534#13133173C2316yes—
535C2×C4⋊Dic53C2313yes—
536C2×C4⋊Dic53C2313yes—
537C2×#11719919C2313yes—
538C2×#11719919C2313yes—
539C2×#11719919C2313yes—
540C2×#11719919C2313yes—
541C2×#11719919C2313yes—
542C2×#11719919C2313yes—
543C4⋊C4×D53C2313yes—
544C4⋊C4×D53C2313yes—
545C4⋊C4×D53C2313yes—
546C4⋊C4×D53C2313yes—
547C2×C22⋊Dic53C2313yes—
548C2×C22⋊Dic53C2313yes—
549C2×#11719921C2313yes—
550C2×#11719921C2313yes—
551C2×#11719921C2313yes—
552C2×#11719921C2313yes—
553C2×#11719921C2313yes—
554C2×#11719921C2313yes—
555C22⋊C4×D53C2316yes—
556C22⋊C4×D53C2316yes—
557C2×C4×Dic53C2313yes—
558C2×C4×Dic53C2313yes—
559C2×C4×Dic53C2313yes—
560C2×C4×Dic53C2313yes—
561C42×D53C2311yescharacteristic
562C42×D53C2313yes—
563C42×D53C2313yes—
564C42×D53C2313yes—
565C42×D53C2313yes—
566C42×D53C2313yes—
567C42×D53C2313yes—
568C42×D53C2313yes—
569C42×D53C2316yes—
570C2×#41×C53—28no—
571C2×#41×C53C2313yes—
572C2×#41×C53C2311yescharacteristic
573C2×#41×C53C2313yes—
574C2×#41×C53C2311yescharacteristic
575C22×Q8×C53C2311yescharacteristic
576C22×D4×C53C2313yes—
577C23×C4×C53C2313yes—
578C4×Q8×C53C2311yescharacteristic
579C4×Q8×C53C2311yescharacteristic
580C4×Q8×C53C2311yescharacteristic
581C4×Q8×C53C2311yescharacteristic
582C4×Q8×C53C2313yes—
583C4×Q8×C53C2313yes—
584C4×Q8×C53C2313yes—
585C4×Q8×C53C2313yes—
586C4×D4×C53C2313yes—
587C4×D4×C53C2316yes—
588C4×D4×C53C2313yes—
589C4×D4×C53C2313yes—
590C4×D4×C53C2316yes—
591C4×D4×C53C2313yes—
592C4×D4×C53C2313yes—
593C4×D4×C53C2313yes—
594C4×D4×C53C2316yes—
595C4×D4×C53C2316yes—
596C4×D4×C53C2313yes—
597C4×D4×C53C2313yes—
598#117×C53C2311yescharacteristic
599#117×C53C2313yes—
600#117×C53C2313yes—
601#117×C53C2313yes—
602#117×C53C2313yes—
603#117×C53C2313yes—
604#117×C53C2313yes—
605#117×C53C2313yes—
606#117×C53C2313yes—
607#117×C53C2313yes—
608#117×C53C2316yes—
609#117×C53C2313yes—
610#117×C53C2313yes—
611C2×C4⋊C4×C53C2313yes—
612C2×C4⋊C4×C53C2313yes—
613C2×C4⋊C4×C53C2313yes—
614C2×C4⋊C4×C53C2313yes—
615C2×C22⋊C4×C53C2316yes—
616C2×C22⋊C4×C53C2313yes—
617C2×C22⋊C4×C53C2313yes—
618C2×C42×C53C2313yes—
619C2×C42×C53C2313yes—
620C2×C42×C53C2316yes—
621C24×C53C2413yes—
622C23×D53C2413yes—
623C23×D53C2413yes—
624#41×C53—24no—
625#41×C53—212no—
626#41×C53—212no—
627#41×C53#4118yescomplemented
628C2×Q8×C53—24no—
629C2×Q8×C53C2413yes—
630C2×Q8×C53C2411yescharacteristic
631C2×D4×C53—212no—
632C2×D4×C53C2416yes—
633C2×D4×C53C2413yes—
634C2×D4×C53C2413yes—
635C22×C4×C53—212no—
636C22×C4×C53C2413yes—
637C22×C4×C53C2413yes—
638C22×C4×C53C2413yes—
639C22×C4×C53C2411yescharacteristic
640C22×C4×C53C2413yes—
641C22×C4×C53C2413yes—
642C22×C4×C53C2413yes—
643C22×C4×C53C2413yes—
644C22×C4×C53C2413yes—
645C22×C4×C53C2416yes—
646C22×C4×C53C2416yes—
647C22×C4×C53C2413yes—
648C2×C22⋊D53—46no—
649C2×C22⋊D53—46no—
650C2×C22⋊D53C2416yes—
651C2×C22⋊D53C2416yes—
652C2×C22⋊D53C2413yes—
653C2×C22⋊D53C2413yes—
654C2×C22⋊D53C2411yescharacteristic
655C2×C22⋊D53C2411yescharacteristic
656C2×C22⋊D53C2413yes—
657C2×C22⋊D53C2416yes—
658C2×C22⋊D53C2416yes—
659C2×C22⋊D53C2413yes—
660C2×C22⋊D53C2413yes—
661C2×C22⋊D53C2413yes—
662C22×Dic53C2413yes—
663C22×Dic53C2413yes—
664C22×Dic53C2413yes—
665C22×Dic53C2413yes—
666C22×Dic53C2413yes—
667C22×Dic53C2413yes—
668#11719949—24no—
669#11719949—24no—
670Q8×D53—24no—
671Q8×D53—24no—
672#11719947—212no—
673#11719947—212no—
674D4×D53—212no—
675D4×D53—212no—
676#11719945—212no—
677#11719945—212no—
678#11719945—412no—
679#11719945—412no—
680C2×D212—46no—
681C2×D212C2413yes—
682C2×D212C2413yes—
683C2×D212C2413yes—
684C2×D212C2411yescharacteristic
685C2×D212C2413yes—
686C2×D212C2416yes—
687C2×D212C2413yes—
688C2×C4×D53—212no—
689C2×C4×D53—212no—
690C2×C4×D53—46no—
691C2×C4×D53—46no—
692C2×C4×D53C2411yescharacteristic
693C2×C4×D53C2411yescharacteristic
694C2×C4×D53C2411yescharacteristic
695C2×C4×D53C2413yes—
696C2×C4×D53C2413yes—
697C2×C4×D53C2413yes—
698C2×C4×D53C2413yes—
699C2×C4×D53C2413yes—
700C2×C4×D53C2413yes—
701C2×C4×D53C2413yes—
702C2×C4×D53C2411yescharacteristic
703C2×C4×D53C2413yes—
704C2×C4×D53C2413yes—
705C2×C4×D53C2413yes—
706C2×C4×D53C2413yes—
707C2×C4×D53C2413yes—
708C2×C4×D53C2416yes—
709C2×C4×D53C2416yes—
710C2×Dic106—46no—
711C2×Dic106C2413yes—
712C2×Dic106C2413yes—
713C2×Dic106C2413yes—
714C2×Dic106C2411yescharacteristic
715C2×Dic106C2413yes—
716C2×Dic106C2416yes—
717C2×Dic106C2413yes—
718C4⋊C4×C53C2411yescharacteristic
719C4⋊C4×C53C2413yes—
720C4⋊C4×C53C2413yes—
721C4⋊C4×C53C2411yescharacteristic
722C4⋊C4×C53C2413yes—
723C4⋊C4×C53C2413yes—
724C4⋊C4×C53C2413yes—
725C4⋊C4×C53C2413yes—
726C4⋊C4×C53C2413yes—
727C4⋊C4×C53C2413yes—
728C4⋊C4×C53C2413yes—
729C4⋊C4×C53C2413yes—
730C22⋊C4×C53C2411yescharacteristic
731C22⋊C4×C53C2413yes—
732C22⋊C4×C53C2413yes—
733C22⋊C4×C53C2411yescharacteristic
734C22⋊C4×C53C2416yes—
735C22⋊C4×C53C2416yes—
736C22⋊C4×C53C2413yes—
737C22⋊C4×C53C2413yes—
738C22⋊C4×C53C2413yes—
739C22⋊C4×C53C2413yes—
740C42×C53C2411yescharacteristic
741C42×C53C2413yes—
742C42×C53C2411yescharacteristic
743C42×C53C2413yes—
744C42×C53C2413yes—
745C42×C53C2413yes—
746C42×C53C2416yes—
747C42×C53C2416yes—
748C42×C53C2413yes—
749C42×C53C2413yes—
750C22⋊Dic53C2416yes—
751C22⋊Dic53C2416yes—
752C22⋊Dic53C2411yescharacteristic
753C22⋊Dic53C2411yescharacteristic
754C22⋊Dic53C2413yes—
755C22⋊Dic53C2413yes—
756C22⋊Dic53C2413yes—
757C22⋊Dic53C2413yes—
758C22⋊Dic53C2413yes—
759C22⋊Dic53C2413yes—
760C22⋊Dic53C2416yes—
761C22⋊Dic53C2416yes—
762#11719921C2413yes—
763#11719921C2413yes—
764#11719921C2416yes—
765#11719921C2416yes—
766#11719921C2411yescharacteristic
767#11719921C2411yescharacteristic
768#11719921C2411yescharacteristic
769#11719921C2411yescharacteristic
770#11719921C2411yescharacteristic
771#11719921C2411yescharacteristic
772#11719921C2413yes—
773#11719921C2413yes—
774#11719921C2413yes—
775#11719921C2413yes—
776#11719921C2413yes—
777#11719921C2413yes—
778#11719921C2413yes—
779#11719921C2413yes—
780#11719921C2413yes—
781#11719921C2413yes—
782#11719921C2413yes—
783#11719921C2413yes—
784#11719921C2413yes—
785#11719921C2413yes—
786#11719921C2413yes—
787#11719921C2413yes—
788#11719921C2416yes—
789#11719921C2416yes—
790#11719921C2416yes—
791#11719921C2416yes—
792C4⋊Dic53C2413yes—
793C4⋊Dic53C2413yes—
794C4⋊Dic53C2413yes—
795C4⋊Dic53C2413yes—
796C4⋊Dic53C2411yescharacteristic
797C4⋊Dic53C2411yescharacteristic
798C4⋊Dic53C2413yes—
799C4⋊Dic53C2413yes—
800C4⋊Dic53C2413yes—
801C4⋊Dic53C2413yes—
802C4⋊Dic53C2413yes—
803C4⋊Dic53C2413yes—
804C4⋊Dic53C2416yes—
805C4⋊Dic53C2416yes—
806#11719919C2413yes—
807#11719919C2413yes—
808#11719919C2416yes—
809#11719919C2416yes—
810#11719919C2411yescharacteristic
811#11719919C2411yescharacteristic
812#11719919C2411yescharacteristic
813#11719919C2411yescharacteristic
814#11719919C2411yescharacteristic
815#11719919C2411yescharacteristic
816#11719919C2413yes—
817#11719919C2413yes—
818#11719919C2413yes—
819#11719919C2413yes—
820#11719919C2413yes—
821#11719919C2413yes—
822#11719919C2413yes—
823#11719919C2413yes—
824#11719919C2413yes—
825#11719919C2413yes—
826#11719919C2413yes—
827#11719919C2413yes—
828#11719919C2413yes—
829#11719919C2413yes—
830#11719919C2413yes—
831#11719919C2413yes—
832#11719919C2416yes—
833#11719919C2416yes—
834#11719919C2416yes—
835#11719919C2416yes—
836C4×Dic53C2411yescharacteristic
837C4×Dic53C2411yescharacteristic
838C4×Dic53C2411yescharacteristic
839C4×Dic53C2413yes—
840C4×Dic53C2413yes—
841C4×Dic53C2413yes—
842C4×Dic53C2413yes—
843C4×Dic53C2413yes—
844C4×Dic53C2413yes—
845C4×Dic53C2413yes—
846C4×Dic53C2413yes—
847C4×Dic53C2413yes—
848C4×Dic53C2413yes—
849C4×Dic53C2416yes—
850C4×Dic53C2416yes—
851C4×Dic53C2411yescharacteristic
852C4×Dic53C2413yes—
853C4×Dic53C2413yes—
854C23×C53—26no—
855C23×C53—43no—
856C23×C53—43no—
857C23×C53C2513yes—
858C23×C53C2511yescharacteristic
859C23×C53C2513yes—
860C22×D53—26no—
861C22×D53—26no—
862C22×D53—26no—
863C22×D53—43no—
864C22×D53—43no—
865C22×D53—43no—
866C22×D53C2513yes—
867C22×D53C2513yes—
868C22×D53C2511yescharacteristic
869C22×D53C2511yescharacteristic
870Q8×C53—26no—
871Q8×C53C2×#4114yes—
872D4×C53—212no—
873D4×C53—26no—
874D4×C53C2×#41112yes—
875C2×C4×C53—26no—
876C2×C4×C53—22no—
877C2×C4×C53—26no—
878C2×C4×C53—26no—
879C2×C4×C53—26no—
880C2×C4×C53—43no—
881C2×C4×C53—43no—
882C2×C4×C53—43no—
883C2×C4×C53—43no—
884C2×C4×C53—46no—
885C2×C4×C53—46no—
886C2×C4×C53C2×#41112yes—
887C2×C4×C53C2511yescharacteristic
888C2×C4×C53C2513yes—
889C2×C4×C53C2513yes—
890C2×C4×C53C2511yescharacteristic
891C2×C4×C53C2511yescharacteristic
892C2×C4×C53C2513yes—
893C2×C4×C53C2513yes—
894C2×C4×C53C2511yescharacteristic
895C2×C4×C53C2511yescharacteristic
896C2×C4×C53C2513yes—
897C2×C4×C53C2513yes—
898C2×C4×C53C2511yescharacteristic
899C22⋊D53—212no—
900C22⋊D53—212no—
901C22⋊D53—26no—
902C22⋊D53—22no—
903C22⋊D53—26no—
904C22⋊D53—22no—
905C22⋊D53—46no—
906C22⋊D53—46no—
907C22⋊D53—43no—
908C22⋊D53—43no—
909C22⋊D53—43no—
910C22⋊D53—43no—
911C2×Dic53—26no—
912C2×Dic53—26no—
913C2×Dic53—26no—
914C2×Dic53—43no—
915C2×Dic53—43no—
916C2×Dic53—43no—
917C2×Dic53C2511yescharacteristic
918C2×Dic53C2513yes—
919C2×Dic53C2513yes—
920C2×Dic53C2513yes—
921C2×Dic53C2513yes—
922C2×Dic53C2513yes—
923C2×Dic53C2513yes—
924C2×Dic53C2511yescharacteristic
925C2×Dic53C2511yescharacteristic
926C2×Dic53C2511yescharacteristic
927C2×Dic53C2511yescharacteristic
928C2×Dic53C2511yescharacteristic
929D212—22no—
930D212—26no—
931D212—26no—
932D212—26no—
933D212—43no—
934D212—43no—
935D212—46no—
936C4×D53—22no—
937C4×D53—26no—
938C4×D53—22no—
939C4×D53—22no—
940C4×D53—26no—
941C4×D53—26no—
942C4×D53—26no—
943C4×D53—26no—
944C4×D53—26no—
945C4×D53—26no—
946C4×D53—22no—
947C4×D53—26no—
948C4×D53—43no—
949C4×D53—43no—
950C4×D53—43no—
951C4×D53—43no—
952C4×D53—46no—
953C4×D53—46no—
954Dic106—26no—
955Dic106—26no—
956Dic106—22no—
957Dic106—26no—
958Dic106—43no—
959Dic106—43no—
960Dic106—46no—
961#62816—531nomaximal, Sylow
962C22×C53—23no—
963C22×C53—23no—
964C22×C53—21no—
965C22×C53—23no—
966C22×C53—23no—
967C22×C53—23no—
968C22×C53—21no—
969C22×C53—21no—
970C22×C53—86no—
971C22×C53C22×#4116yes—
972C22×C53C2611yescharacteristic
973C2×D53—21no—
974C2×D53—21no—
975C2×D53—21no—
976C2×D53—23no—
977C2×D53—23no—
978C2×D53—23no—
979C2×D53—23no—
980C2×D53—23no—
981C2×D53—23no—
982C2×D53—21no—
983C2×D53—21no—
984C2×D53—412no—
985C2×D53—86no—
986C2×D53#58512yes—
987C4×C53—21no—
988C4×C53—23no—
989C4×C53—21no—
990C4×C53—23no—
991C4×C53—23no—
992C4×C53—21no—
993C4×C53—23no—
994C4×C53—21no—
995C4×C53—23no—
996C4×C53—21no—
997C4×C53C22×#4116yes—
998C4×C53C22×#4112yes—
999Dic53—23no—
1000Dic53—23no—
1001Dic53—21no—
1002Dic53—21no—
1003Dic53—21no—
1004Dic53—23no—
1005Dic53—23no—
1006Dic53—23no—
1007Dic53—23no—
1008Dic53—21no—
1009Dic53—21no—
1010Dic53#58512yes—
1011#3524—531no—
1012#3524—531no—
1013#3523—531no—
1014#3522—531no—
1015#3521—533no—
1016#3521—533no—
1017#3520—533no—
1018#3519—533no—
1019#3518—531no—
1020#3517—531no—
1021#3516—531no—
1022#3516—531no—
1023#3515—533no—
1024#3514—533no—
1025#3513—533no—
1026#3513—533no—
1027#3480—533no—
1028Q8×#41—531no—
1029#3475—533no—
1030#3475—533no—
1031#3475—533no—
1032D4×#41—531no—
1033D4×#41—531no—
1034D4×#41—531no—
1035#3455—533no—
1036#3455—533no—
1037#3444—533no—
1038C2×#529—533no—
1039#3428—531no—
1040#3428D5311yescharacteristic, complemented
1041C2×C4×#41—531no—
1042C2×C53—26no—
1043C2×C53—43no—
1044C2×C53—41no—
1045C2×C53C23×#4111yescharacteristic
1046C2×C53C2×#58511yescharacteristic
1047C2×C53C2×#58511yescharacteristic
1048D53—22no—
1049D53—43no—
1050D53—43no—
1051D53—41no—
1052C22×#41—531no—
1053C22×#41—531no—
1054C22×#41C2×D5311yescharacteristic
1055#559—533no—
1056#559—533no—
1057#559—533no—
1058Q82—531no—
1059#557—531no—
1060#557—531no—
1061#557—533no—
1062#557—531no—
1063#556—533no—
1064#556—533no—
1065#556—533no—
1066#556—533no—
1067#556—533no—
1068#556—533no—
1069#555—533no—
1070#555—533no—
1071#555—533no—
1072#554—533no—
1073#554—533no—
1074#554—533no—
1075#554—533no—
1076#554—533no—
1077#554—533no—
1078#553—536no—
1079#553—536no—
1080#553—536no—
1081#553—533no—
1082#553—533no—
1083#553—533no—
1084#553—533no—
1085#553—533no—
1086#553—533no—
1087#552—533no—
1088#552—533no—
1089#552—536no—
1090#552—536no—
1091#552—536no—
1092#552—533no—
1093#552—533no—
1094#552—533no—
1095#552—533no—
1096#551—536no—
1097#551—536no—
1098#551—536no—
1099#551—536no—
1100#551—536no—
1101#551—536no—
1102#550—531no—
1103#550—531no—
1104#550—531no—
1105#550—533no—
1106D4×Q8—531no—
1107D4×Q8—531no—
1108D4×Q8—531no—
1109D4×Q8—533no—
1110#548—531no—
1111#548—531no—
1112#548—531no—
1113#548—531no—
1114#548—531no—
1115#548—531no—
1116#548—536no—
1117#547—533no—
1118#547—533no—
1119#547—533no—
1120#547—533no—
1121#547—533no—
1122#547—533no—
1123#546—533no—
1124#546—533no—
1125#546—533no—
1126#546—533no—
1127#546—533no—
1128#546—533no—
1129#546—536no—
1130#546—536no—
1131#546—536no—
1132D42—533no—
1133D42—533no—
1134D42—533no—
1135#542—533no—
1136#542—533no—
1137#542—533no—
1138#542—533no—
1139#542—533no—
1140#542—533no—
1141#542—533no—
1142#542—533no—
1143#541—533no—
1144#541—533no—
1145#541—533no—
1146#541—533no—
1147#540—533no—
1148#540—533no—
1149#540—533no—
1150#540—533no—
1151#539—536no—
1152#539—536no—
1153#539—536no—
1154#539—536no—
1155#538—536no—
1156#538—536no—
1157#538—536no—
1158#538—536no—
1159#533—533no—
1160#533—533no—
1161#533—533no—
1162#533—533no—
1163#533—533no—
1164#532—533no—
1165#532—533no—
1166#532—533no—
1167#532—533no—
1168#532—533no—
1169#529—533no—
1170#529—533no—
1171#529—536no—
1172#529—536no—
1173#529—533no—
1174#529—533no—
1175#529—531no—
1176#529—533no—
1177#529—533no—
1178#529—533no—
1179#529—533no—
1180#529—533no—
1181#529—533no—
1182#529—533no—
1183#529—533no—
1184#529—533no—
1185#529—533no—
1186#529—533no—
1187#529—533no—
1188#529—533no—
1189#529—533no—
1190#529—533no—
1191#529—536no—
1192#529—536no—
1193#529—536no—
1194#529—536no—
1195#529—536no—
1196C2×#126—533no—
1197C2×#126—533no—
1198C2×#125—533no—
1199C2×#124—533no—
1200#525—533no—
1201#525—533no—
1202#525—533no—
1203#525—533no—
1204#525—536no—
1205#525—536no—
1206#525—533no—
1207#525—533no—
1208C2×#123—533no—
1209C2×#123—533no—
1210C2×C22⋊Q8—533no—
1211C2×#121—533no—
1212#520—531no—
1213#520—531no—
1214#520—533no—
1215#520—533no—
1216#520C2×D5313yescomplemented
1217#520C2×D5311yescharacteristic, complemented
1218#520C2×D5313yescomplemented
1219#520C2×D5311yescharacteristic, complemented
1220#519—531no—
1221#519—531no—
1222#519C2×D5311yescharacteristic, complemented
1223#519C2×D5311yescharacteristic, complemented
1224#518—533no—
1225#518—533no—
1226#518C2×D5313yescomplemented
1227#518C2×D5313yescomplemented
1228C4×#41—531no—
1229C4×#41—531no—
1230C4×#41—531no—
1231C4×#41—531no—
1232C4×#41—533no—
1233C4×#41—533no—
1234C4×#41—533no—
1235C4×#41—533no—
1236C4×#41—533no—
1237C4×#41—533no—
1238C4×#41—536no—
1239C4×#41—536no—
1240C4×#41C2×D5311yescharacteristic
1241C4×#41C2×D5311yescharacteristic
1242C4×#41C2×D5313yescomplemented
1243C4×#41C2×D5313yescomplemented
1244C2×C4×Q8—531no—
1245C2×C4×Q8—531no—
1246C2×C4×Q8—533no—
1247C2×C4×D4—533no—
1248C2×C4×D4—533no—
1249C2×C4×D4—533no—
1250C2×C4×D4—533no—
1251C2×C4×D4—533no—
1252C2×#117—533no—
1253C2×#117—533no—
1254C2×#117—533no—
1255C2×#117C2×D5313yescomplemented
1256C2×#117C2×D5313yescomplemented
1257C22×C42—533no—
1258C53#6281611yescharacteristic, complemented, Sylow
1259C2×#41—28no—
1260C2×#41—531no—
1261C2×#41—531no—
1262C2×#41—533no—
1263C2×#41—533no—
1264C2×#41—533no—
1265C2×#41—533no—
1266C2×#41—536no—
1267C2×#41—536no—
1268C2×#41—1068no—
1269C2×#41—1068no—
1270C2×#41C22×D5313yes—
1271C2×#41C22×D5313yes—
1272C2×#41C22×D5311yescharacteristic
1273C2×#41C22×D5311yescharacteristic
1274C22×Q8—531no—
1275C22×Q8—531no—
1276C22×Q8—533no—
1277C22×Q8C22×D5311yescharacteristic
1278C22×D4—533no—
1279C22×D4—533no—
1280C22×D4—533no—
1281C22×D4—533no—
1282C22×D4—533no—
1283C22×D4C22×D5313yes—
1284C23×C4—533no—
1285C23×C4—533no—
1286C23×C4—533no—
1287C23×C4—533no—
1288C23×C4C22×D5313yes—
1289C4⋊Q8—533no—
1290C4⋊Q8—533no—
1291C4⋊Q8—533no—
1292C4⋊Q8—533no—
1293C4⋊Q8—533no—
1294C4⋊Q8—533no—
1295C4⋊Q8—533no—
1296C4⋊Q8—533no—
1297C4⋊Q8—533no—
1298#127—533no—
1299#127—533no—
1300#127—533no—
1301#126—531no—
1302#126—533no—
1303#126—533no—
1304#126—533no—
1305#126—533no—
1306#126—533no—
1307#126—533no—
1308#126—533no—
1309#126—536no—
1310#126—536no—
1311#126—536no—
1312#126—531no—
1313#126—533no—
1314#126—533no—
1315#126—533no—
1316#126—533no—
1317#126—533no—
1318#126—533no—
1319#126—533no—
1320#126—536no—
1321#126—536no—
1322#126—536no—
1323#126—536no—
1324#126—536no—
1325#126—536no—
1326#126—536no—
1327#125—531no—
1328#125—533no—
1329#125—533no—
1330#125—533no—
1331#125—533no—
1332#125—533no—
1333#125—533no—
1334#125—533no—
1335#125—536no—
1336#125—533no—
1337#125—533no—
1338#125—536no—
1339#125—536no—
1340#125—533no—
1341#125—533no—
1342#125—536no—
1343#125—536no—
1344#125—533no—
1345#125—533no—
1346#124—533no—
1347#124—533no—
1348#124—533no—
1349#124—533no—
1350#124—531no—
1351#124—533no—
1352#124—533no—
1353#124—533no—
1354#124—533no—
1355#124—533no—
1356#124—533no—
1357#124—533no—
1358#124—536no—
1359#124—536no—
1360#124—536no—
1361#124—536no—
1362#124—536no—
1363#124—533no—
1364#124—533no—
1365#123—536no—
1366#123—536no—
1367#123—536no—
1368#123—536no—
1369#123—536no—
1370#123—536no—
1371#123—536no—
1372#123—536no—
1373#123—531no—
1374#123—533no—
1375#123—533no—
1376#123—533no—
1377#123—533no—
1378#123—533no—
1379#123—533no—
1380#123—533no—
1381#123—536no—
1382#123—536no—
1383#123—536no—
1384#123—531no—
1385#123—533no—
1386#123—533no—
1387#123—533no—
1388#123—533no—
1389#123—533no—
1390#123—533no—
1391#123—533no—
1392#123—536no—
1393#123—536no—
1394#123—536no—
1395#123—536no—
1396#123—536no—
1397C22⋊Q8—533no—
1398C22⋊Q8—533no—
1399C22⋊Q8—533no—
1400C22⋊Q8—533no—
1401C22⋊Q8—533no—
1402C22⋊Q8—533no—
1403C22⋊Q8—533no—
1404C22⋊Q8—533no—
1405C22⋊Q8—536no—
1406C22⋊Q8—536no—
1407C22⋊Q8—536no—
1408C22⋊Q8—536no—
1409C22⋊Q8—531no—
1410C22⋊Q8—533no—
1411C22⋊Q8—533no—
1412C22⋊Q8—533no—
1413C22⋊Q8—533no—
1414C22⋊Q8—533no—
1415C22⋊Q8—533no—
1416C22⋊Q8—533no—
1417C22⋊Q8—536no—
1418C22⋊Q8—533no—
1419C22⋊Q8—533no—
1420C22⋊Q8—533no—
1421C22⋊Q8—533no—
1422C22⋊Q8—536no—
1423C22⋊Q8—536no—
1424C22⋊Q8—536no—
1425C22⋊Q8—536no—
1426C22⋊Q8—536no—
1427C22⋊Q8—536no—
1428#121—533no—
1429#121—536no—
1430#121—536no—
1431#121—533no—
1432#121—533no—
1433#121—533no—
1434#121—536no—
1435#121—536no—
1436#121—533no—
1437#121—533no—
1438#121—533no—
1439#121—533no—
1440#121—536no—
1441#121—536no—
1442#121—536no—
1443#121—536no—
1444#121—533no—
1445#121—533no—
1446#121—533no—
1447#121—533no—
1448#121—531no—
1449#121—533no—
1450#121—533no—
1451#121—533no—
1452#121—533no—
1453#121—533no—
1454#121—533no—
1455#121—533no—
1456#121—536no—
1457#121—536no—
1458#121—536no—
1459#120—536no—
1460#120—536no—
1461#120—536no—
1462#120—536no—
1463#120—536no—
1464#120—536no—
1465C4×Q8—531no—
1466C4×Q8—531no—
1467C4×Q8—531no—
1468C4×Q8—531no—
1469C4×Q8—533no—
1470C4×Q8—533no—
1471C4×Q8—533no—
1472C4×Q8—533no—
1473C4×Q8—531no—
1474C4×Q8—533no—
1475C4×Q8—533no—
1476C4×Q8—533no—
1477C4×Q8—533no—
1478C4×Q8—533no—
1479C4×Q8—533no—
1480C4×Q8—533no—
1481C4×Q8—533no—
1482C4×Q8—533no—
1483C4×Q8—533no—
1484C4×Q8—533no—
1485C4×Q8—536no—
1486C4×Q8—536no—
1487C4×Q8—536no—
1488C4×Q8C22×D5311yescharacteristic
1489C4×Q8C22×D5311yescharacteristic
1490C4×Q8C22×D5311yescharacteristic
1491C4×Q8C22×D5311yescharacteristic
1492C4×Q8C22×D5313yes—
1493C4×Q8C22×D5313yes—
1494C4×Q8C22×D5313yes—
1495C4×Q8C22×D5313yes—
1496C4×D4—533no—
1497C4×D4—533no—
1498C4×D4—533no—
1499C4×D4—533no—
1500C4×D4—531no—
1501C4×D4—531no—
1502C4×D4—533no—
1503C4×D4—533no—
1504C4×D4—536no—
1505C4×D4—536no—
1506C4×D4—533no—
1507C4×D4—533no—
1508C4×D4—533no—
1509C4×D4—533no—
1510C4×D4—533no—
1511C4×D4—533no—
1512C4×D4—533no—
1513C4×D4—533no—
1514C4×D4—533no—
1515C4×D4—533no—
1516C4×D4—533no—
1517C4×D4—533no—
1518C4×D4—536no—
1519C4×D4—536no—
1520C4×D4—536no—
1521C4×D4—536no—
1522C4×D4—536no—
1523C4×D4—536no—
1524C4×D4—536no—
1525C4×D4—536no—
1526C4×D4—533no—
1527C4×D4—533no—
1528C4×D4—533no—
1529C4×D4—533no—
1530C4×D4—536no—
1531C4×D4—536no—
1532C4×D4—536no—
1533C4×D4—536no—
1534C4×D4—531no—
1535C4×D4—533no—
1536C4×D4—533no—
1537C4×D4—533no—
1538C4×D4—533no—
1539C4×D4—533no—
1540C4×D4—533no—
1541C4×D4—533no—
1542C4×D4—533no—
1543C4×D4—533no—
1544C4×D4—533no—
1545C4×D4—533no—
1546C4×D4—536no—
1547C4×D4—536no—
1548C4×D4—536no—
1549C4×D4C22×D5313yes—
1550C4×D4C22×D5313yes—
1551C4×D4C22×D5313yes—
1552C4×D4C22×D5313yes—
1553C4×D4C22×D5316yes—
1554C4×D4C22×D5316yes—
1555C4×D4C22×D5313yes—
1556C4×D4C22×D5313yes—
1557C4×D4C22×D5316yes—
1558C4×D4C22×D5313yes—
1559C4×D4C22×D5316yes—
1560C4×D4C22×D5313yes—
1561#117—533no—
1562#117—533no—
1563#117—536no—
1564#117—536no—
1565#117—533no—
1566#117—533no—
1567#117—533no—
1568#117—533no—
1569#117—536no—
1570#117—536no—
1571#117—531no—
1572#117—533no—
1573#117—533no—
1574#117—536no—
1575#117—533no—
1576#117—533no—
1577#117—533no—
1578#117—533no—
1579#117—533no—
1580#117—536no—
1581#117—536no—
1582#117—536no—
1583#117—536no—
1584#117C22×D5313yes—
1585#117C22×D5311yescharacteristic
1586#117C22×D5313yes—
1587#117C22×D5313yes—
1588#117C22×D5313yes—
1589#117C22×D5313yes—
1590#117C22×D5313yes—
1591#117C22×D5313yes—
1592#117C22×D5313yes—
1593#117C22×D5313yes—
1594#117C22×D5313yes—
1595#117C22×D5313yes—
1596#117C22×D5316yes—
1597C2×C4⋊C4—533no—
1598C2×C4⋊C4—533no—
1599C2×C4⋊C4—533no—
1600C2×C4⋊C4—533no—
1601C2×C4⋊C4—533no—
1602C2×C4⋊C4—533no—
1603C2×C4⋊C4—533no—
1604C2×C4⋊C4—533no—
1605C2×C4⋊C4—533no—
1606C2×C4⋊C4—533no—
1607C2×C4⋊C4—533no—
1608C2×C4⋊C4—533no—
1609C2×C4⋊C4C22×D5313yes—
1610C2×C4⋊C4C22×D5313yes—
1611C2×C4⋊C4C22×D5313yes—
1612C2×C4⋊C4C22×D5313yes—
1613C2×C22⋊C4—533no—
1614C2×C22⋊C4—533no—
1615C2×C22⋊C4—533no—
1616C2×C22⋊C4—533no—
1617C2×C22⋊C4—533no—
1618C2×C22⋊C4—533no—
1619C2×C22⋊C4—533no—
1620C2×C22⋊C4—533no—
1621C2×C22⋊C4—536no—
1622C2×C22⋊C4—536no—
1623C2×C22⋊C4C22×D5313yes—
1624C2×C22⋊C4C22×D5313yes—
1625C2×C22⋊C4C22×D5316yes—
1626C2×C42—533no—
1627C2×C42—533no—
1628C2×C42—533no—
1629C2×C42—533no—
1630C2×C42—533no—
1631C2×C42—536no—
1632C2×C42—533no—
1633C2×C42—533no—
1634C2×C42—533no—
1635C2×C42—533no—
1636C2×C42—533no—
1637C2×C42—533no—
1638C2×C42—531no—
1639C2×C42C22×D5313yes—
1640C2×C42C22×D5313yes—
1641C2×C42C22×D5316yes—
1642C24—533no—
1643C24—533no—
1644C24C23×D5313yes—
1645#41—24no—
1646#41—212no—
1647#41—212no—
1648#41—1064no—
1649#41—1064no—
1650#41—10612no—
1651#41—10612no—
1652#41—10612no—
1653#41—10612no—
1654#41—21212no—
1655#41—21212no—
1656#41#1171994518yescomplemented
1657C2×Q8—24no—
1658C2×Q8—531no—
1659C2×Q8—533no—
1660C2×Q8—533no—
1661C2×Q8—533no—
1662C2×Q8—533no—
1663C2×Q8—533no—
1664C2×Q8—536no—
1665C2×Q8—1064no—
1666C2×Q8—1064no—
1667C2×Q8—2126no—
1668C2×Q8C23×D5313yes—
1669C2×Q8C23×D5311yescharacteristic
1670C2×D4—212no—
1671C2×D4—533no—
1672C2×D4—536no—
1673C2×D4—536no—
1674C2×D4—531no—
1675C2×D4—531no—
1676C2×D4—533no—
1677C2×D4—533no—
1678C2×D4—533no—
1679C2×D4—533no—
1680C2×D4—536no—
1681C2×D4—536no—
1682C2×D4—533no—
1683C2×D4—533no—
1684C2×D4—531no—
1685C2×D4—533no—
1686C2×D4—533no—
1687C2×D4—533no—
1688C2×D4—536no—
1689C2×D4—533no—
1690C2×D4—10612no—
1691C2×D4—10612no—
1692C2×D4—2126no—
1693C2×D4—2126no—
1694C2×D4—2126no—
1695C2×D4C23×D5316yes—
1696C2×D4C23×D5313yes—
1697C2×D4C23×D5313yes—
1698C22×C4—212no—
1699C22×C4—533no—
1700C22×C4—533no—
1701C22×C4—533no—
1702C22×C4—533no—
1703C22×C4—533no—
1704C22×C4—533no—
1705C22×C4—531no—
1706C22×C4—531no—
1707C22×C4—533no—
1708C22×C4—533no—
1709C22×C4—533no—
1710C22×C4—533no—
1711C22×C4—533no—
1712C22×C4—533no—
1713C22×C4—531no—
1714C22×C4—533no—
1715C22×C4—533no—
1716C22×C4—531no—
1717C22×C4—533no—
1718C22×C4—533no—
1719C22×C4—533no—
1720C22×C4—533no—
1721C22×C4—536no—
1722C22×C4—536no—
1723C22×C4—10612no—
1724C22×C4—10612no—
1725C22×C4—2126no—
1726C22×C4—2126no—
1727C22×C4C23×D5313yes—
1728C22×C4C23×D5313yes—
1729C22×C4C23×D5313yes—
1730C22×C4C23×D5313yes—
1731C22×C4C23×D5311yescharacteristic
1732C22×C4C23×D5313yes—
1733C22×C4C23×D5313yes—
1734C22×C4C23×D5313yes—
1735C22×C4C23×D5313yes—
1736C22×C4C23×D5316yes—
1737C22×C4C23×D5316yes—
1738C22×C4C23×D5313yes—
1739C4⋊C4—531no—
1740C4⋊C4—533no—
1741C4⋊C4—533no—
1742C4⋊C4—531no—
1743C4⋊C4—531no—
1744C4⋊C4—531no—
1745C4⋊C4—531no—
1746C4⋊C4—531no—
1747C4⋊C4—531no—
1748C4⋊C4—531no—
1749C4⋊C4—533no—
1750C4⋊C4—533no—
1751C4⋊C4—533no—
1752C4⋊C4—533no—
1753C4⋊C4—533no—
1754C4⋊C4—533no—
1755C4⋊C4—533no—
1756C4⋊C4—533no—
1757C4⋊C4—533no—
1758C4⋊C4—533no—
1759C4⋊C4—533no—
1760C4⋊C4—536no—
1761C4⋊C4—536no—
1762C4⋊C4—533no—
1763C4⋊C4—533no—
1764C4⋊C4—533no—
1765C4⋊C4—533no—
1766C4⋊C4—533no—
1767C4⋊C4—533no—
1768C4⋊C4—533no—
1769C4⋊C4—533no—
1770C4⋊C4—533no—
1771C4⋊C4—533no—
1772C4⋊C4—533no—
1773C4⋊C4—533no—
1774C4⋊C4—533no—
1775C4⋊C4—533no—
1776C4⋊C4—533no—
1777C4⋊C4—536no—
1778C4⋊C4—536no—
1779C4⋊C4—536no—
1780C4⋊C4—536no—
1781C4⋊C4—536no—
1782C4⋊C4—536no—
1783C4⋊C4C23×D5313yes—
1784C4⋊C4C23×D5313yes—
1785C4⋊C4C23×D5311yescharacteristic
1786C4⋊C4C23×D5313yes—
1787C4⋊C4C23×D5313yes—
1788C4⋊C4C23×D5311yescharacteristic
1789C4⋊C4C23×D5313yes—
1790C4⋊C4C23×D5313yes—
1791C4⋊C4C23×D5313yes—
1792C4⋊C4C23×D5313yes—
1793C4⋊C4C23×D5313yes—
1794C4⋊C4C23×D5313yes—
1795C22⋊C4—531no—
1796C22⋊C4—531no—
1797C22⋊C4—536no—
1798C22⋊C4—536no—
1799C22⋊C4—533no—
1800C22⋊C4—533no—
1801C22⋊C4—533no—
1802C22⋊C4—533no—
1803C22⋊C4—533no—
1804C22⋊C4—533no—
1805C22⋊C4—536no—
1806C22⋊C4—536no—
1807C22⋊C4—531no—
1808C22⋊C4—533no—
1809C22⋊C4—533no—
1810C22⋊C4—531no—
1811C22⋊C4—531no—
1812C22⋊C4—531no—
1813C22⋊C4—531no—
1814C22⋊C4—531no—
1815C22⋊C4—533no—
1816C22⋊C4—533no—
1817C22⋊C4—533no—
1818C22⋊C4—533no—
1819C22⋊C4—533no—
1820C22⋊C4—533no—
1821C22⋊C4—533no—
1822C22⋊C4—536no—
1823C22⋊C4—536no—
1824C22⋊C4—533no—
1825C22⋊C4—533no—
1826C22⋊C4—533no—
1827C22⋊C4—533no—
1828C22⋊C4—533no—
1829C22⋊C4—533no—
1830C22⋊C4—533no—
1831C22⋊C4—533no—
1832C22⋊C4—533no—
1833C22⋊C4—536no—
1834C22⋊C4—536no—
1835C22⋊C4—536no—
1836C22⋊C4—536no—
1837C22⋊C4C23×D5316yes—
1838C22⋊C4C23×D5311yescharacteristic
1839C22⋊C4C23×D5313yes—
1840C22⋊C4C23×D5313yes—
1841C22⋊C4C23×D5311yescharacteristic
1842C22⋊C4C23×D5316yes—
1843C22⋊C4C23×D5313yes—
1844C22⋊C4C23×D5313yes—
1845C22⋊C4C23×D5313yes—
1846C22⋊C4C23×D5313yes—
1847C42—531no—
1848C42—531no—
1849C42—533no—
1850C42—533no—
1851C42—533no—
1852C42—533no—
1853C42—533no—
1854C42—533no—
1855C42—533no—
1856C42—533no—
1857C42—536no—
1858C42—536no—
1859C42—533no—
1860C42—533no—
1861C42—531no—
1862C42—531no—
1863C42—533no—
1864C42—533no—
1865C42C23×D5313yes—
1866C42C23×D5313yes—
1867C42C23×D5316yes—
1868C42C23×D5316yes—
1869C42C23×D5313yes—
1870C42C23×D5313yes—
1871C42C23×D5313yes—
1872C42C23×D5311yescharacteristic
1873C42C23×D5311yescharacteristic
1874C42C23×D5313yes—
1875C23—26no—
1876C23—43no—
1877C23—43no—
1878C23—531no—
1879C23—531no—
1880C23—533no—
1881C23—533no—
1882C23—1066no—
1883C23—1066no—
1884C23—1066no—
1885C23—2123no—
1886C23—2123no—
1887C23—2123no—
1888C23C24×D5311yescharacteristic
1889C23C24×D5313yes—
1890C23C24×D5313yes—
1891Q8—26no—
1892Q8—1062no—
1893Q8—1066no—
1894Q8—1066no—
1895Q8—1066no—
1896Q8—2123no—
1897Q8—2123no—
1898Q8—2126no—
1899Q8C2×#1171994514yes—
1900D4—212no—
1901D4—26no—
1902D4—1062no—
1903D4—1066no—
1904D4—1062no—
1905D4—1066no—
1906D4—1062no—
1907D4—1066no—
1908D4—10612no—
1909D4—10612no—
1910D4—1066no—
1911D4—1066no—
1912D4—2123no—
1913D4—2123no—
1914D4—2126no—
1915D4—2123no—
1916D4—2123no—
1917D4—2123no—
1918D4—2123no—
1919D4—2126no—
1920D4—2126no—
1921D4C2×#11719945112yes—
1922C2×C4—26no—
1923C2×C4—22no—
1924C2×C4—26no—
1925C2×C4—26no—
1926C2×C4—26no—
1927C2×C4—43no—
1928C2×C4—43no—
1929C2×C4—43no—
1930C2×C4—43no—
1931C2×C4—46no—
1932C2×C4—46no—
1933C2×C4—531no—
1934C2×C4—531no—
1935C2×C4—531no—
1936C2×C4—531no—
1937C2×C4—533no—
1938C2×C4—533no—
1939C2×C4—533no—
1940C2×C4—533no—
1941C2×C4—533no—
1942C2×C4—533no—
1943C2×C4—531no—
1944C2×C4—531no—
1945C2×C4—1062no—
1946C2×C4—1066no—
1947C2×C4—1062no—
1948C2×C4—1066no—
1949C2×C4—1066no—
1950C2×C4—1066no—
1951C2×C4—1066no—
1952C2×C4—1062no—
1953C2×C4—1062no—
1954C2×C4—1066no—
1955C2×C4—1066no—
1956C2×C4—1066no—
1957C2×C4—1066no—
1958C2×C4—1066no—
1959C2×C4—1066no—
1960C2×C4—2123no—
1961C2×C4—2123no—
1962C2×C4—2123no—
1963C2×C4—2123no—
1964C2×C4—2126no—
1965C2×C4—2126no—
1966C2×C4—2123no—
1967C2×C4—2123no—
1968C2×C4—2123no—
1969C2×C4C2×#11719945112yes—
1970C2×C4C24×D5311yescharacteristic
1971C2×C4C24×D5311yescharacteristic
1972C2×C4C24×D5313yes—
1973C2×C4C24×D5313yes—
1974C2×C4C24×D5311yescharacteristic
1975C2×C4C24×D5313yes—
1976C2×C4C24×D5313yes—
1977C2×C4C24×D5313yes—
1978C2×C4C24×D5311yescharacteristic
1979C2×C4C24×D5311yescharacteristic
1980C2×C4C24×D5313yes—
1981C2×C4C24×D5311yescharacteristic
1982C22—23no—
1983C22—23no—
1984C22—21no—
1985C22—23no—
1986C22—23no—
1987C22—23no—
1988C22—21no—
1989C22—21no—
1990C22—86no—
1991C22—532no—
1992C22—1061no—
1993C22—1061no—
1994C22—1061no—
1995C22—1063no—
1996C22—1063no—
1997C22—1063no—
1998C22—1063no—
1999C22—1063no—
2000C22—1063no—
2001C22—1061no—
2002C22—1061no—
2003C22—4246no—
2004C22—21212no—
2005C22C22×#1171994516yes—
2006C22C25×D5311yescharacteristic
2007C4—21no—
2008C4—23no—
2009C4—21no—
2010C4—23no—
2011C4—21no—
2012C4—23no—
2013C4—21no—
2014C4—23no—
2015C4—23no—
2016C4—21no—
2017C4—532no—
2018C4—1061no—
2019C4—1061no—
2020C4—1063no—
2021C4—1063no—
2022C4—1061no—
2023C4—1063no—
2024C4—1063no—
2025C4—1061no—
2026C4—1063no—
2027C4—1063no—
2028C4—1061no—
2029C4C22×#1171994512yes—
2030C4C22×#1171994516yes—
2031C2—26no—
2032C2—41no—
2033C2—43no—
2034C2—1062no—
2035C2—2121no—
2036C2—2123no—
2037C2—2123no—
2038C2C23×#1171994511yescharacteristic
2039C2#585×D5311yescharacteristic
2040C2#585×D5311yescharacteristic
subgroupG/H
centerC2×C4C24×D53
commutator, socle, cosocleC22×C53C26
FrattiniC22C25×D53
FittingC53×#3428C2
hypercenter#3428D53
hypocenterC53#62816
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C2×C4 ◁ #3428

Complements

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

NH ≅ G/Ntype
1. #20288826C2semidirect
2. #20288816C2semidirect
3. #20288805C2semidirect
4. #20288794C2semidirect
5. #20288785C2semidirect
6. #20288771C2semidirect
7. #20288754C2semidirect
8. #20288737C2semidirect
9. #20288726C2semidirect
10. #20288715C2semidirect
11. #20288710C2semidirect
12. #20288700C2semidirect
13. #20288683C2semidirect
14. #20288666C2semidirect
15. #20288657C2semidirect
16. #20288643C2semidirect
17. #20288308C2semidirect
18. #41×Dic106C2semidirect
19. #20288279C2semidirect
20. #20288269C2semidirect
21. #20288269C2semidirect
22. #41×D212C2semidirect
23. #41×C22⋊D53C2semidirect
24. #41×C22⋊D53C2semidirect
25. #20288105C2semidirect
26. #20288100C2semidirect
27. #20288008C2semidirect
28. C2×#16811151C2semidirect
29. #20287914C2semidirect
30. C4×#41×D53C2semidirect
31. C53×#3428C2semidirect
34. #16811358C22semidirect
35. #16811356C22semidirect
36. #16811356C22semidirect
37. Q8×Dic106C22semidirect
38. #16811352C22semidirect
39. #16811351C22semidirect
40. #16811349C22semidirect
41. #16811349C22semidirect
42. #16811346C22semidirect
43. #16811345C22semidirect
44. #16811345C22semidirect
45. #16811343C22semidirect
46. #16811341C22semidirect
47. #16811341C22semidirect
48. #16811338C22semidirect
49. #16811336C22semidirect
50. #16811336C22semidirect
51. #16811333C22semidirect
52. #16811332C22semidirect
53. #16811332C22semidirect
54. #16811330C22semidirect
55. #16811328C22semidirect
56. #16811328C22semidirect
57. #16811323C22semidirect
58. #16811323C22semidirect
59. #16811322C22semidirect
60. #16811322C22semidirect
61. #16811321C22semidirect
62. #16811321C22semidirect
63. #16811319C22semidirect
64. #16811317C22semidirect
65. #16811317C22semidirect
66. #16811314C22semidirect
67. #16811314C22semidirect
68. #16811313C22semidirect
69. #16811312C22semidirect
70. #16811312C22semidirect
71. #16811308C22semidirect
72. #16811308C22semidirect
73. #16811306C22semidirect
74. #16811306C22semidirect
75. #16811302C22semidirect
76. #16811302C22semidirect
77. #16811299C22semidirect
78. #16811299C22semidirect
79. #16811297C22semidirect
80. #16811297C22semidirect
81. #16811295C22semidirect
82. #16811294C22semidirect
83. #16811292C22semidirect
84. #16811292C22semidirect
85. Q8×D212C22semidirect
86. D4×Dic106C22semidirect
87. Q8×C22⋊D53C22semidirect
88. Q8×C22⋊D53C22semidirect
89. #16811285C22semidirect
90. #16811285C22semidirect
91. #16811284C22semidirect
92. #16811284C22semidirect
93. #16811282C22semidirect
94. #16811280C22semidirect
95. #16811280C22semidirect
96. #16811278C22semidirect
97. #16811277C22semidirect
98. #16811274C22semidirect
99. #16811274C22semidirect
100. #16811272C22semidirect
101. #16811272C22semidirect
102. #16811269C22semidirect
103. #16811268C22semidirect
104. #16811268C22semidirect
105. #16811267C22semidirect
106. #16811267C22semidirect
107. #16811263C22semidirect
108. #16811263C22semidirect
109. #16811261C22semidirect
110. #16811261C22semidirect
111. D4×D212C22semidirect
112. D4×C22⋊D53C22semidirect
113. D4×C22⋊D53C22semidirect
114. #16811245C22semidirect
115. #16811245C22semidirect
116. #16811244C22semidirect
117. #16811244C22semidirect
118. #16811244C22semidirect
119. #16811244C22semidirect
120. #16811238C22semidirect
121. #16811238C22semidirect
122. #16811235C22semidirect
123. #16811235C22semidirect
124. #16811231C22semidirect
125. #16811231C22semidirect
126. #16811228C22semidirect
127. #16811228C22semidirect
128. #16811224C22semidirect
129. #16811224C22semidirect
130. #16811220C22semidirect
131. #16811220C22semidirect
132. #16811215C22semidirect
133. #16811215C22semidirect
134. #16811211C22semidirect
135. #16811211C22semidirect
136. #16811206C22semidirect
137. #16811206C22semidirect
138. #16811180C22semidirect
139. #16811177C22semidirect
140. #16811177C22semidirect
141. #16811176C22semidirect
142. #16811176C22semidirect
143. #16811173C22semidirect
144. #16811170C22semidirect
145. #16811170C22semidirect
146. #16811169C22semidirect
147. #16811169C22semidirect
148. #16811160C22semidirect
149. #16811160C22semidirect
150. #16811157C22semidirect
151. #16811157C22semidirect
152. #16811155C22semidirect
153. #16811155C22semidirect
154. #16811153C22semidirect
155. #16811153C22semidirect
158. #16811151C22semidirect
159. #16811151C22semidirect
160. #16811151C22semidirect
161. #16811151C22semidirect
162. #16811151C22semidirect
163. #16811151C22semidirect
164. #16811151C22semidirect
165. #16811151C22semidirect
166. #16811151C22semidirect
167. #16811151C22semidirect
168. #16811151C22semidirect
169. #16811151C22semidirect
170. #16811151C22semidirect
171. #16811151C22semidirect
172. #16811151C22semidirect
173. #16811151C22semidirect
174. #16811151C22semidirect
175. C2×#13133212C22semidirect
176. C2×#13133210C22semidirect
177. C2×#13133207C22semidirect
178. C2×#13133203C22semidirect
179. #16811135C22semidirect
180. #16811135C22semidirect
181. #16811134C22semidirect
182. #16811134C22semidirect
183. #16811132C22semidirect
184. #16811132C22semidirect
185. #16811130C22semidirect
186. #16811130C22semidirect
187. C2×#13133202C22semidirect
188. C2×#13133199C22semidirect
189. C2×#13133195C22semidirect
191. #16811105C22semidirect
192. #16811105C22semidirect
193. #16811102C22semidirect
194. #16811102C22semidirect
195. #16811099C22semidirect
196. #16811099C22semidirect
197. #16811095C22semidirect
198. #16811095C22semidirect
201. C4×#11719949C22semidirect
202. C4×#11719949C22semidirect
203. C4×#11719945C22semidirect
204. C4×#11719945C22semidirect
205. C4×#11719945C22semidirect
206. C4×#11719945C22semidirect
207. #16811091C22semidirect
208. #16811091C22semidirect
209. C4×#11719947C22semidirect
210. C4×#11719947C22semidirect
211. C2×C4×Dic106C22semidirect
212. C4×Q8×D53C22semidirect
213. C4×Q8×D53C22semidirect
214. C2×C4×D212C22semidirect
215. C2×C4×C22⋊D53C22semidirect
216. C2×C4×C22⋊D53C22semidirect
217. C4×D4×D53C22semidirect
218. C4×D4×D53C22semidirect
219. C2×#13133174C22semidirect
220. #117×D53C22semidirect
221. #117×D53C22semidirect
222. C2×C42×D53C22semidirect
224. C53×#520C22semidirect
225. C53×#520C22semidirect
226. C53×#520C22semidirect
227. C53×#520C22semidirect
228. C53×#519C22semidirect
229. C53×#519C22semidirect
230. C53×#518C22semidirect
231. C53×#518C22semidirect
234. C4×#41×C53C22semidirect
235. C4×#41×C53C22semidirect
236. C2×#117×C53C22semidirect
237. C2×#117×C53C22semidirect
627. #41×C53#41semidirect
1040. #3428D53semidirect
1216. #520C2×D53semidirect
1217. #520C2×D53semidirect
1218. #520C2×D53semidirect
1219. #520C2×D53semidirect
1222. #519C2×D53semidirect
1223. #519C2×D53semidirect
1226. #518C2×D53semidirect
1227. #518C2×D53semidirect
1242. C4×#41C2×D53semidirect
1243. C4×#41C2×D53semidirect
1255. C2×#117C2×D53semidirect
1256. C2×#117C2×D53semidirect
1258. C53#62816semidirect
1656. #41#11719945semidirect

Maximal subgroups

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

subgroupindex
#202888262
#202888162
#202888052
#202887942
#202887852
#202887712
#202887542
#202887372
#202887262
#202887152
#202887102
#202887002
#202886832
#202886662
#202886572
#202886432
#202883082
#41×Dic1062
#202882792
#202882692
#41×D2122
#41×C22⋊D532
#202881052
#202881002
#202880082
C2×#168111512
#202879142
C4×#41×D532
C53×#34282
#6281653