Finite Group Databasebeta

← #28292824

Subgroups — #28292824

Order 13568.

6670 conjugacy classes of subgroups.

The subgroup lattice has 2002 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289341C212yesmaximal, complemented
2#20289331C214yesmaximal, complemented
3#20289329C212yesmaximal, complemented
4#20289327C214yesmaximal, complemented
5#20289269C212yesmaximal, complemented
6#20289259C214yesmaximal, complemented
7#20289257C212yesmaximal, complemented
8#20289255C214yesmaximal, complemented
9#20288780C214yesmaximal, complemented
10#20288779C214yesmaximal, complemented
11#20288776C214yesmaximal, complemented
12#20288772C214yesmaximal, complemented
13#20288771C214yesmaximal, complemented
14#20288768C214yesmaximal, complemented
15#20288421C212yesmaximal, complemented
16#20288416C212yesmaximal, complemented
17#20288416C212yesmaximal, complemented
18#20288404C211yesmaximal, characteristic, complemented
19#20288402C212yesmaximal, complemented
20#20288402C212yesmaximal, complemented
21#20288007C212yesmaximal, complemented
22C22×#13133210C211yesmaximal, characteristic, complemented
23C53×#3490C211yesmaximal, characteristic, complemented
24#16811376C2214yescomplemented
25#16811376C2214yescomplemented
26#16811375C2214yescomplemented
27#16811374C2214yescomplemented
28#16811374C2214yescomplemented
29#16811373C2214yescomplemented
30#16811362C2214yescomplemented
31#16811361C2214yescomplemented
32#16811344C2214yescomplemented
33#16811343C2214yescomplemented
34#16811342C2214yescomplemented
35#16811342C2214yescomplemented
36#16811341C2214yescomplemented
37#16811340C2214yescomplemented
38#16811332C2214yescomplemented
39#16811332C2214yescomplemented
40#16811331C2214yescomplemented
41#16811330C2214yescomplemented
42#16811327C2214yescomplemented
43#16811327C2214yescomplemented
44#16811325C2214yescomplemented
45#16811325C2214yescomplemented
46#16811323C2214yescomplemented
47#16811322C2214yescomplemented
48#16811322C2214yescomplemented
49#16811322C2214yescomplemented
50#16811320C2214yescomplemented
51#16811319C2214yescomplemented
52#16811318C2214yescomplemented
53#16811316C2214yescomplemented
54#16811316C2214yescomplemented
55#16811316C2214yescomplemented
56#16811315C2214yescomplemented
57#16811313C2214yescomplemented
58#16811313C2214yescomplemented
59#16811312C2214yescomplemented
60#16811310C2214yescomplemented
61#16811310C2214yescomplemented
62#16811310C2214yescomplemented
63#16811310C2214yescomplemented
64#16811309C2214yescomplemented
65#16811307C2214yescomplemented
66#16811306C2214yescomplemented
67#16811306C2214yescomplemented
68#16811304C2214yescomplemented
69#16811304C2214yescomplemented
70#16811304C2214yescomplemented
71#16811304C2214yescomplemented
72#16811304C2214yescomplemented
73#16811303C2214yescomplemented
74#16811301C2214yescomplemented
75#16811299C2214yescomplemented
76#16811299C2214yescomplemented
77#16811299C2214yescomplemented
78#16811299C2214yescomplemented
79#16811299C2214yescomplemented
80#16811299C2214yescomplemented
81#16811299C2214yescomplemented
82#16811299C2214yescomplemented
83#16811298C2214yescomplemented
84#16811277C2214yescomplemented
85#16811273C2214yescomplemented
86#16811272C2214yescomplemented
87#16811272C2214yescomplemented
88#16811271C2214yescomplemented
89#16811271C2214yescomplemented
90#16811267C2214yescomplemented
91#16811267C2214yescomplemented
92#16811267C2214yescomplemented
93#16811267C2214yescomplemented
94#16811263C2214yescomplemented
95#16811263C2214yescomplemented
96#16811260C2214yescomplemented
97#16811260C2214yescomplemented
98#16811260C2214yescomplemented
99#16811260C2214yescomplemented
100#16811252C2212yescomplemented
101#16811252C2212yescomplemented
102#16811251C2212yescomplemented
103#16811249C2212yescomplemented
104#16811249C2212yescomplemented
105#16811249C2211yescharacteristic, complemented
106#16811243C2214yescomplemented
107#16811242C2214yescomplemented
108#16811241C2214yescomplemented
109#16811240C2214yescomplemented
110#16811238C2214yescomplemented
111#16811237C2214yescomplemented
112#16811235C2214yescomplemented
113#16811233C2214yescomplemented
114#16811233C2214yescomplemented
115#16811230C2214yescomplemented
116#16811230C2214yescomplemented
117#16811230C2214yescomplemented
118#16811222C2212yescomplemented
119#16811222C2212yescomplemented
120#16811219C2214yescomplemented
121#16811218C2212yescomplemented
122#16811218C2212yescomplemented
123#16811218C2214yescomplemented
124#16811217C2214yescomplemented
125#16811217C2214yescomplemented
126#16811217C2214yescomplemented
127#16811216C2214yescomplemented
128#16811216C2214yescomplemented
129#16811215C2214yescomplemented
130#16811215C2214yescomplemented
131#16811215C2214yescomplemented
132#16811211C2212yes—
133#16811211C2212yes—
134#16811211C2214yescomplemented
135#16811209C2214yescomplemented
136#16811208C2214yes—
137#16811208C2214yes—
138#16811208C2214yes—
139#16811208C2214yes—
140#16811208C2214yescomplemented
141#16811208C2214yescomplemented
142#16811207C2214yescomplemented
143#16811205C2214yescomplemented
144#16811201C2212yescomplemented
145#16811200C2212yescomplemented
146#16811200C2212yescomplemented
147#16811185C2211yescharacteristic, complemented
148#16811182C2212yescomplemented
149#16811182C2212yescomplemented
150#16811176C2212yescomplemented
151#16811175C2212yescomplemented
152#16811175C2212yescomplemented
153#16811169C2212yescomplemented
154#16811168C2212yescomplemented
155#16811168C2212yescomplemented
156#16811159C2212yescomplemented
157#16811159C2212yescomplemented
158#16811155C2214yescomplemented
159#16811154C2212yescomplemented
160#16811154C2212yescomplemented
161#16811154C2214yescomplemented
162#16811153C2214yescomplemented
163#16811153C2214yescomplemented
164#16811153C2214yescomplemented
165#16811152C2214yescomplemented
166#16811151C2214yescomplemented
167#16811150C2214yescomplemented
168#16811150C2214yescomplemented
169#16811150C2214yescomplemented
170C2×#13133210C2214yescomplemented
171C2×#13133210C2212yescomplemented
172C2×#13133210C2214yescomplemented
173C2×#13133210C2212yescomplemented
174C2×#13133210C2214yescomplemented
175C2×#13133210C2212yescomplemented
176C2×#13133210C2214yescomplemented
177C2×#13133210C2212yescomplemented
178C2×#13133210C2214yescomplemented
179#126×D53C2214yescomplemented
180#16811134C2212yescomplemented
181#16811134C2212yescomplemented
182#16811129C2214yescomplemented
183#16811129C2214yescomplemented
184#16811129C2214yescomplemented
185#16811129C2214yescomplemented
186C2×#13133186C2212yes—
187#16811106C2212yescomplemented
188#16811103C2212yescomplemented
189#16811102C2214yescomplemented
190#16811102C2214yescomplemented
191#16811098C2212yescomplemented
192#16811098C2212yescomplemented
193#16811096C2212yescomplemented
194#16811096C2212yescomplemented
195#16811096C2212yescomplemented
196#41×Dic53C2212yescomplemented
197#16811091C2212yescomplemented
198C4×#11719947C2214yescomplemented
199C4×#11719947C2214yescomplemented
200C22×C4⋊Dic53C2211yescharacteristic, complemented
201C22×#11719919C2211yescharacteristic, complemented
202C22×#11719919C2211yescharacteristic, complemented
203C22×C22⋊Dic53C2211yescharacteristic
204C22×C22⋊Dic53C2211yescharacteristic
205C22×C4×Dic53C2211yescharacteristic, complemented
206C53×#551C2214yescomplemented
207C53×#551C2214yescomplemented
208C53×#546C2214yescomplemented
209C53×#546C2214yescomplemented
210C53×#543C2211yescharacteristic, complemented
211C53×#538C2212yes—
212C53×#538C2212yes—
213C53×#534C2211yescharacteristic, complemented
214C53×#525C2212yescomplemented
215C53×#525C2212yescomplemented
216C2×#120×C53C2212yes—
217C53×#518C2212yescomplemented
218C22×C22⋊C4×C53C2211yescharacteristic
219C2×#11719945C2312yes—
220C2×#11719945C2312yes—
221C2×#11719947C2314yes—
222C2×#11719947C2314yes—
223C2×#11719947C2314yes—
224C2×#11719947C2314yes—
225C22×C22⋊D53C2312yes—
226C22×C22⋊D53C2312yes—
227C22×C22⋊D53C2312yes—
228C23×Dic53C2311yescharacteristic
229C23×Dic53C2311yescharacteristic
230C23×Dic53C2311yescharacteristic
231C23×Dic53C2311yescharacteristic
232#13133217C2314yescomplemented
233#13133216C2314yescomplemented
234#13133216C2314yescomplemented
235#13133216C2314yescomplemented
236#13133216C2312yescomplemented
237#13133216C2312yescomplemented
238#13133215C2314yescomplemented
239#13133215C2314yescomplemented
240#13133215C2312yescomplemented
241#13133213C2312yescomplemented
242#13133212C2314yescomplemented
243#13133212C2314yescomplemented
244#13133212C2314yescomplemented
245#13133212C2314yescomplemented
246#13133212C2314yescomplemented
247#13133212C2314yescomplemented
248#13133211C2314yescomplemented
249#13133211C2314yescomplemented
250#13133210C2314yes—
251#13133210C2314yes—
252#13133210C2314yes—
253#13133210C2314yes—
254#13133210C2314yes—
255#13133210C2314yes—
256#13133210C2314yes—
257#13133210C2314yes—
258#13133210C2314yes—
259#13133210C2314yes—
260#13133210C2314yes—
261#13133210C2314yes—
262#13133210C2314yes—
263#13133210C2314yes—
264#13133210C2314yes—
265#13133210C2314yes—
266#13133210C2314yes—
267#13133210C2314yes—
268#13133210C2314yes—
269#13133210C2314yes—
270#13133210C2314yes—
271#13133210C2314yes—
272#13133210C2314yes—
273#13133210C2314yes—
274#13133210C2314yes—
275#13133210C2314yes—
276#13133210C2314yescomplemented
277#13133210C2314yescomplemented
278#13133210C2314yescomplemented
279#13133210C2314yescomplemented
280#13133210C2314yescomplemented
281#13133210C2314yescomplemented
282#13133210C2314yescomplemented
283#13133210C2314yescomplemented
284#13133209C2314yescomplemented
285#13133209C2314yescomplemented
286#13133209C2314yescomplemented
287#13133208C2314yescomplemented
288#13133208C2314yescomplemented
289#13133208C2314yescomplemented
290#13133208C2314yescomplemented
291#13133208C2314yescomplemented
292#13133208C2312yescomplemented
293#13133208C2312yescomplemented
294#13133207C2314yescomplemented
295#13133207C2314yescomplemented
296#13133207C2314yescomplemented
297#13133207C2314yescomplemented
298#13133207C2314yescomplemented
299#13133207C2314yescomplemented
300#13133207C2314yescomplemented
301#13133207C2314yescomplemented
302#13133207C2314yescomplemented
303#13133207C2314yescomplemented
304#13133207C2314yescomplemented
305#13133207C2314yescomplemented
306#13133206C2312yescomplemented
307#13133204C2314yes—
308#13133204C2314yes—
309#13133204C2314yes—
310#13133204C2314yes—
311#13133204C2312yescomplemented
312#13133203C2314yes—
313#13133203C2314yes—
314#13133203C2314yes—
315#13133203C2314yes—
316#13133203C2314yes—
317#13133203C2314yes—
318#13133203C2314yescomplemented
319#13133203C2314yescomplemented
320#13133202C2314yescomplemented
321#13133202C2314yescomplemented
322#13133201C2314yes—
323#13133201C2314yes—
324#13133201C2314yes—
325#13133201C2314yes—
326#13133201C2314yes—
327#13133201C2314yescomplemented
328#13133201C2314yescomplemented
329#13133200C2314yes—
330#13133200C2314yes—
331#13133200C2314yes—
332#13133200C2314yes—
333#13133200C2314yescomplemented
334#13133200C2314yescomplemented
335#13133199C2314yes—
336#13133199C2314yes—
337#13133199C2314yes—
338#13133199C2314yes—
339#13133199C2314yes—
340#13133199C2314yes—
341#13133199C2314yescomplemented
342#13133199C2314yescomplemented
343#13133199C2314yescomplemented
344#13133199C2314yescomplemented
345#13133198C2314yes—
346#13133198C2314yes—
347#13133198C2314yes—
348#13133198C2314yes—
349#13133198C2314yes—
350#13133198C2314yes—
351#13133198C2314yes—
352#13133198C2314yes—
353#13133198C2314yes—
354#13133198C2314yes—
355#13133198C2314yescomplemented
356#13133198C2314yescomplemented
357#13133197C2314yescomplemented
358#13133197C2314yescomplemented
359#13133196C2314yes—
360#13133196C2314yes—
361#13133196C2314yes—
362#13133196C2314yes—
363#13133196C2312yes—
364#13133196C2312yes—
365#13133196C2312yes—
366#13133196C2312yes—
367#13133196C2314yescomplemented
368#13133196C2314yescomplemented
369#13133196C2314yescomplemented
370#13133195C2314yescomplemented
371#13133195C2314yescomplemented
372#13133195C2314yescomplemented
373#13133195C2314yescomplemented
374#13133194C2314yes—
375#13133194C2314yes—
376#13133194C2314yes—
377#13133194C2314yes—
378#13133194C2314yes—
379#13133194C2314yes—
380#13133194C2314yes—
381#13133194C2314yes—
382#13133194C2314yes—
383#13133194C2314yes—
384#13133194C2314yes—
385#13133194C2314yes—
386#13133194C2314yes—
387#13133194C2314yes—
388#13133194C2314yescomplemented
389#13133194C2314yescomplemented
390#13133194C2314yescomplemented
391#13133194C2314yescomplemented
392#13133194C2314yescomplemented
393#13133194C2314yescomplemented
394#13133193C2314yescomplemented
395#13133193C2314yescomplemented
396#13133193C2314yescomplemented
397#13133191C2312yes—
398#13133191C2312yes—
399#13133191C2312yes—
400#13133191C2312yes—
401#13133191C2314yescomplemented
402#13133190C2314yes—
403#13133190C2314yes—
404#13133190C2314yescomplemented
405#13133190C2314yescomplemented
406#13133189C2314yes—
407#13133189C2314yes—
408#13133189C2314yes—
409#13133189C2314yes—
410#13133189C2314yes—
411#13133189C2314yes—
412#13133189C2314yes—
413#13133189C2314yes—
414#13133189C2314yes—
415#13133189C2314yes—
416#13133189C2314yes—
417#13133189C2314yes—
418#13133189C2314yescomplemented
419#13133189C2314yescomplemented
420#13133188C2314yes—
421#13133188C2314yes—
422#13133188C2314yes—
423#13133188C2314yes—
424#13133188C2314yescomplemented
425#13133187C2314yes—
426#13133186C2314yes—
427#13133186C2314yes—
428#13133186C2314yes—
429#13133186C2314yes—
430#13133186C2314yes—
431#13133186C2314yes—
432#13133185C2314yes—
433#13133185C2314yes—
434Q8×Dic53C2312yescomplemented
435Q8×Dic53C2314yescomplemented
436Q8×Dic53C2312yescomplemented
437C4×Dic106C2314yescomplemented
438C4×Dic106C2314yescomplemented
439C4×Dic106C2314yescomplemented
440C4×Dic106C2314yescomplemented
441C4×Dic106C2314yescomplemented
442#13133182C2312yescomplemented
443#13133182C2314yescomplemented
444#13133182C2314yescomplemented
445#13133182C2314yescomplemented
446#13133182C2314yescomplemented
447#13133182C2312yescomplemented
448C4×D212C2314yescomplemented
449D4×Dic53C2314yes—
450D4×Dic53C2314yes—
451D4×Dic53C2314yes—
452D4×Dic53C2314yes—
453D4×Dic53C2314yes—
454D4×Dic53C2314yes—
455D4×Dic53C2314yes—
456D4×Dic53C2314yes—
457D4×Dic53C2314yes—
458D4×Dic53C2314yes—
459D4×Dic53C2314yes—
460D4×Dic53C2314yes—
461D4×Dic53C2314yescomplemented
462D4×Dic53C2312yescomplemented
463D4×Dic53C2312yescomplemented
464#13133179C2312yescomplemented
465#13133179C2312yescomplemented
466C4×C22⋊D53C2314yes—
467C4×C22⋊D53C2314yes—
468C4×C22⋊D53C2314yes—
469C4×C22⋊D53C2314yes—
470C4×C22⋊D53C2314yes—
471C4×C22⋊D53C2314yes—
472C4×C22⋊D53C2314yes—
473C4×C22⋊D53C2314yes—
474C4×C22⋊D53C2314yescomplemented
475C4×C22⋊D53C2314yescomplemented
476C4×C22⋊D53C2314yescomplemented
477C4×C22⋊D53C2314yescomplemented
478#13133177C2314yes—
479#13133177C2314yes—
480#13133177C2314yes—
481#13133177C2314yes—
482#13133177C2314yes—
483#13133177C2314yes—
484#13133177C2314yes—
485#13133177C2314yes—
486#13133177C2314yes—
487#13133177C2314yes—
488#13133177C2314yescomplemented
489#13133177C2314yescomplemented
490#13133177C2314yescomplemented
491#13133177C2314yescomplemented
492#13133176C2314yes—
493#13133176C2312yes—
494#13133176C2312yes—
495#13133176C2314yes—
496#13133176C2314yescomplemented
497#13133176C2314yescomplemented
498#13133175C2314yescomplemented
499#13133175C2314yescomplemented
500#13133175C2314yescomplemented
501#13133174C2314yescomplemented
502#13133174C2314yescomplemented
503#13133174C2314yescomplemented
504#13133173C2314yes—
505#13133173C2314yes—
506#13133173C2314yes—
507#13133173C2314yes—
508#13133173C2314yes—
509#13133173C2314yes—
510#13133173C2314yes—
511#13133173C2314yescomplemented
512#13133173C2314yescomplemented
513#13133173C2314yescomplemented
514#13133173C2314yescomplemented
515C2×C4⋊Dic53C2312yes—
516C2×C4⋊Dic53C2312yes—
517C2×C4⋊Dic53C2314yes—
518C2×C4⋊Dic53C2312yes—
519C2×C4⋊Dic53C2312yes—
520C2×C4⋊Dic53C2314yescomplemented
521C2×#11719919C2314yes—
522C2×#11719919C2314yes—
523C2×#11719919C2312yes—
524C2×#11719919C2314yes—
525C2×#11719919C2312yes—
526C2×#11719919C2312yes—
527C2×#11719919C2312yes—
528C2×#11719919C2312yes—
529C2×#11719919C2312yes—
530C2×#11719919C2314yescomplemented
531C2×#11719919C2314yescomplemented
532C4⋊C4×D53C2314yescomplemented
533C4⋊C4×D53C2314yescomplemented
534C4⋊C4×D53C2314yescomplemented
535C2×C22⋊Dic53C2312yes—
536C2×C22⋊Dic53C2312yes—
537C2×C22⋊Dic53C2314yes—
538C2×C22⋊Dic53C2314yes—
539C2×C22⋊Dic53C2314yes—
540C2×C22⋊Dic53C2314yes—
541C2×C22⋊Dic53C2312yes—
542C2×C22⋊Dic53C2312yes—
543C2×C22⋊Dic53C2312yes—
544C2×C22⋊Dic53C2312yes—
545C2×C22⋊Dic53C2312yes—
546C2×C22⋊Dic53C2312yes—
547C2×C22⋊Dic53C2312yes—
548C2×C22⋊Dic53C2312yes—
549C2×C22⋊Dic53C2312yes—
550C22⋊C4×D53C2314yes—
551C22⋊C4×D53C2314yes—
552C22⋊C4×D53C2314yes—
553C2×C4×Dic53C2312yes—
554C2×C4×Dic53C2312yes—
555C2×C4×Dic53C2312yes—
556C2×C4×Dic53C2312yes—
557C2×C4×Dic53C2312yes—
558C2×C4×Dic53C2312yes—
559C2×C4×Dic53C2314yescomplemented
560C42×D53C2314yescomplemented
561C25×C53C2311yescharacteristic
562C2×#41×C53C2312yes—
563C2×#41×C53C2312yes—
564C22×D4×C53C2312yes—
565C22×D4×C53C2312yes—
566C22×D4×C53C2312yes—
567C23×C4×C53C2311yescharacteristic
568C23×C4×C53C2311yescharacteristic
569#126×C53C2314yes—
570#126×C53C2314yes—
571#124×C53C2314yes—
572#124×C53C2314yes—
573#123×C53C2314yes—
574#123×C53C2314yes—
575#123×C53C2314yes—
576#123×C53C2314yes—
577#123×C53C2314yes—
578C22⋊Q8×C53C2312yes—
579C22⋊Q8×C53C2312yes—
580C22⋊Q8×C53C2312yes—
581C22⋊Q8×C53C2312yes—
582C22⋊Q8×C53C2314yes—
583C22⋊Q8×C53C2314yes—
584#121×C53C2312yes—
585#121×C53C2312yes—
586#121×C53C2312yes—
587#121×C53C2312yes—
588#121×C53C2314yes—
589#121×C53C2314yes—
590#120×C53C2314yes—
591#120×C53C2314yes—
592#120×C53C2314yes—
593#120×C53C2314yes—
594#120×C53C2314yes—
595C4×D4×C53C2314yes—
596C4×D4×C53C2314yes—
597C4×D4×C53C2314yes—
598C4×D4×C53C2314yes—
599C4×D4×C53C2314yes—
600C4×D4×C53C2314yes—
601#117×C53C2314yes—
602#117×C53C2312yes—
603#117×C53C2312yes—
604C2×C22⋊C4×C53C2311yescharacteristic
605C2×C22⋊C4×C53C2314yes—
606C2×C22⋊C4×C53C2314yes—
607C2×C22⋊C4×C53C2311yescharacteristic
608C2×C22⋊C4×C53C2311yescharacteristic
609C2×C22⋊C4×C53C2311yescharacteristic
610C2×C22⋊C4×C53C2312yes—
611C2×C22⋊C4×C53C2314yes—
612C2×C22⋊C4×C53C2312yes—
613C2×C22⋊C4×C53C2312yes—
614C24×C53—42no—
615C24×C53—42no—
616C24×C53—42no—
617C24×C53C2411yescharacteristic
618C24×C53C2411yescharacteristic
619C24×C53C2412yes—
620C24×C53C2412yes—
621C24×C53C2411yescharacteristic
622C24×C53C2412yes—
623C23×D53C2412yes—
624#41×C53—44no—
625#41×C53—44no—
626C2×Q8×C53C2412yes—
627C2×Q8×C53C2412yes—
628C2×D4×C53—44no—
629C2×D4×C53—44no—
630C2×D4×C53—44no—
631C2×D4×C53C2414yes—
632C2×D4×C53C2414yes—
633C2×D4×C53C2414yes—
634C2×D4×C53C2414yes—
635C2×D4×C53C2412yes—
636C2×D4×C53C2412yes—
637C2×D4×C53C2414yes—
638C2×D4×C53C2414yes—
639C22×C4×C53—42no—
640C22×C4×C53—42no—
641C22×C4×C53C2412yes—
642C22×C4×C53C2412yes—
643C22×C4×C53C2412yes—
644C22×C4×C53C2411yescharacteristic
645C22×C4×C53C2411yescharacteristic
646C22×C4×C53C2412yes—
647C22×C4×C53C2412yes—
648C22×C4×C53C2412yes—
649C22×C4×C53C2412yes—
650C22×C4×C53C2411yescharacteristic
651C22×C4×C53C2411yescharacteristic
652C22×C4×C53C2414yes—
653C22×C4×C53C2414yes—
654C2×C22⋊D53—44no—
655C2×C22⋊D53—44no—
656C2×C22⋊D53—44no—
657C2×C22⋊D53C2414yes—
658C2×C22⋊D53C2414yes—
659C2×C22⋊D53C2414yes—
660C2×C22⋊D53C2414yes—
661C2×C22⋊D53C2414yes—
662C2×C22⋊D53C2414yes—
663C2×C22⋊D53C2414yes—
664C2×C22⋊D53C2414yes—
665C2×C22⋊D53C2414yes—
666C2×C22⋊D53C2414yes—
667C22×Dic53—42no—
668C22×Dic53—42no—
669C22×Dic53—42no—
670C22×Dic53—42no—
671C22×Dic53C2412yes—
672C22×Dic53C2412yes—
673C22×Dic53C2412yes—
674C22×Dic53C2412yes—
675C22×Dic53C2411yescharacteristic
676C22×Dic53C2412yes—
677C22×Dic53C2411yescharacteristic
678C22×Dic53C2411yescharacteristic
679C22×Dic53C2412yes—
680C22×Dic53C2411yescharacteristic
681C22×Dic53C2414yes—
682C22×Dic53C2414yes—
683C22×Dic53C2412yes—
684C22×Dic53C2412yes—
685C22×Dic53C2412yes—
686C22×Dic53C2412yes—
687C22×Dic53C2412yes—
688C22×Dic53C2412yes—
689C22×Dic53C2412yes—
690C22×Dic53C2414yes—
691C22×Dic53C2414yes—
692#11719947—48no—
693#11719947—48no—
694#11719947—48no—
695#11719947—48no—
696#11719945—44no—
697#11719945—44no—
698C2×D212C2412yes—
699C2×D212C2412yes—
700C2×C4×D53C2414yes—
701C2×C4×D53C2414yes—
702C2×C4×D53C2414yes—
703C2×C4×D53C2414yes—
704C2×C4×D53C2414yes—
705C2×C4×D53C2414yes—
706C2×Dic106C2412yes—
707C2×Dic106C2414yes—
708C2×Dic106C2414yes—
709C2×Dic106C2414yes—
710C2×Dic106C2414yes—
711C2×Dic106C2412yes—
712C4⋊C4×C53C2414yes—
713C4⋊C4×C53C2414yes—
714C4⋊C4×C53C2412yes—
715C4⋊C4×C53C2412yes—
716C4⋊C4×C53C2412yes—
717C4⋊C4×C53C2412yes—
718C4⋊C4×C53C2414yes—
719C4⋊C4×C53C2414yes—
720C22⋊C4×C53C2414yes—
721C22⋊C4×C53C2414yes—
722C22⋊C4×C53C2414yes—
723C22⋊C4×C53C2414yes—
724C22⋊C4×C53C2414yes—
725C22⋊C4×C53C2414yes—
726C22⋊C4×C53C2414yes—
727C22⋊C4×C53C2414yes—
728C22⋊C4×C53C2414yes—
729C22⋊C4×C53C2414yes—
730C22⋊C4×C53C2414yes—
731C22⋊C4×C53C2414yes—
732C22⋊C4×C53C2414yes—
733C22⋊C4×C53C2414yes—
734C42×C53C2414yes—
735C42×C53C2414yes—
736C22⋊Dic53C2414yes—
737C22⋊Dic53C2414yes—
738C22⋊Dic53C2414yes—
739C22⋊Dic53C2414yes—
740C22⋊Dic53C2414yes—
741C22⋊Dic53C2414yes—
742C22⋊Dic53C2414yes—
743C22⋊Dic53C2414yes—
744C22⋊Dic53C2414yes—
745C22⋊Dic53C2414yes—
746C22⋊Dic53C2414yes—
747C22⋊Dic53C2414yes—
748C22⋊Dic53C2414yes—
749C22⋊Dic53C2414yes—
750C22⋊Dic53C2414yes—
751C22⋊Dic53C2414yes—
752C22⋊Dic53C2414yes—
753C22⋊Dic53C2414yes—
754C22⋊Dic53C2414yes—
755C22⋊Dic53C2414yes—
756C22⋊Dic53C2414yes—
757C22⋊Dic53C2414yes—
758#11719921C2414yes—
759#11719921C2414yes—
760#11719921C2414yes—
761#11719921C2414yes—
762#11719921C2414yes—
763#11719921C2414yes—
764#11719921C2414yes—
765#11719921C2414yes—
766#11719921C2414yes—
767#11719921C2414yes—
768#11719921C2414yes—
769#11719921C2414yes—
770C4⋊Dic53C2414yes—
771C4⋊Dic53C2414yes—
772C4⋊Dic53C2414yes—
773C4⋊Dic53C2414yes—
774C4⋊Dic53C2414yes—
775C4⋊Dic53C2414yes—
776C4⋊Dic53C2412yes—
777C4⋊Dic53C2414yes—
778C4⋊Dic53C2414yes—
779C4⋊Dic53C2414yes—
780C4⋊Dic53C2412yes—
781C4⋊Dic53C2414yes—
782C4⋊Dic53C2414yes—
783C4⋊Dic53C2412yes—
784C4⋊Dic53C2412yes—
785C4⋊Dic53C2414yes—
786#11719919C2414yes—
787#11719919C2414yes—
788#11719919C2414yes—
789#11719919C2414yes—
790#11719919C2414yes—
791#11719919C2414yes—
792#11719919C2414yes—
793#11719919C2414yes—
794#11719919C2414yes—
795#11719919C2414yes—
796#11719919C2414yes—
797#11719919C2414yes—
798#11719919C2414yes—
799#11719919C2414yes—
800#11719919C2414yes—
801#11719919C2414yes—
802#11719919C2414yes—
803#11719919C2414yes—
804#11719919C2414yes—
805#11719919C2414yes—
806#11719919C2414yes—
807#11719919C2414yes—
808#11719919C2414yes—
809#11719919C2414yes—
810#11719919C2414yes—
811#11719919C2414yes—
812#11719919C2414yes—
813#11719919C2414yes—
814C4×Dic53C2412yes—
815C4×Dic53C2414yes—
816C4×Dic53C2414yes—
817C4×Dic53C2412yes—
818C4×Dic53C2412yes—
819C4×Dic53C2412yes—
820C4×Dic53C2412yes—
821C4×Dic53C2412yes—
822C4×Dic53C2412yes—
823C4×Dic53C2412yes—
824C4×Dic53C2414yes—
825C4×Dic53C2414yes—
826C4×Dic53C2414yes—
827C4×Dic53C2414yes—
828C4×Dic53C2414yes—
829C4×Dic53C2414yes—
830C4×Dic53C2414yes—
831C4×Dic53C2414yes—
832C23×C53—22no—
833C23×C53—22no—
834C23×C53—22no—
835C23×C53—22no—
836C23×C53—24no—
837C23×C53—24no—
838C23×C53—22no—
839C23×C53—42no—
840C23×C53—42no—
841C23×C53—41no—
842C23×C53—41no—
843C23×C53—42no—
844C23×C53—42no—
845C23×C53—41no—
846C23×C53—41no—
847C23×C53—42no—
848C23×C53—42no—
849C23×C53—42no—
850C23×C53—88no—
851C23×C53C2514yes—
852C23×C53C2512yes—
853C23×C53C2512yes—
854C23×C53C2511yescharacteristic
855C23×C53C2511yescharacteristic
856C23×C53C2511yescharacteristic
857C22×D53—42no—
858C22×D53—42no—
859C22×D53—42no—
860C22×D53C2514yes—
861Q8×C53—42no—
862Q8×C53—42no—
863D4×C53—28no—
864D4×C53—28no—
865D4×C53—28no—
866D4×C53—44no—
867D4×C53—44no—
868D4×C53—44no—
869D4×C53—42no—
870D4×C53—42no—
871C2×C4×C53—24no—
872C2×C4×C53—24no—
873C2×C4×C53—41no—
874C2×C4×C53—42no—
875C2×C4×C53—41no—
876C2×C4×C53—42no—
877C2×C4×C53—41no—
878C2×C4×C53—41no—
879C2×C4×C53—42no—
880C2×C4×C53—42no—
881C2×C4×C53—42no—
882C2×C4×C53—44no—
883C2×C4×C53—44no—
884C2×C4×C53C2514yes—
885C2×C4×C53C2514yes—
886C2×C4×C53C2514yes—
887C2×C4×C53C2512yes—
888C2×C4×C53C2512yes—
889C2×C4×C53C2512yes—
890C2×C4×C53C2512yes—
891C22⋊D53—28no—
892C22⋊D53—28no—
893C22⋊D53—28no—
894C22⋊D53—44no—
895C22⋊D53—44no—
896C22⋊D53—44no—
897C22⋊D53—44no—
898C22⋊D53—44no—
899C22⋊D53—44no—
900C22⋊D53—44no—
901C2×Dic53—24no—
902C2×Dic53—24no—
903C2×Dic53—24no—
904C2×Dic53—24no—
905C2×Dic53—44no—
906C2×Dic53—44no—
907C2×Dic53—44no—
908C2×Dic53—44no—
909C2×Dic53—41no—
910C2×Dic53—41no—
911C2×Dic53—42no—
912C2×Dic53—42no—
913C2×Dic53—42no—
914C2×Dic53—42no—
915C2×Dic53—42no—
916C2×Dic53—42no—
917C2×Dic53—41no—
918C2×Dic53—41no—
919C2×Dic53—42no—
920C2×Dic53—42no—
921C2×Dic53—42no—
922C2×Dic53C2514yes—
923C2×Dic53C2514yes—
924C2×Dic53C2512yes—
925C2×Dic53C2512yes—
926C2×Dic53C2514yes—
927C2×Dic53C2514yes—
928C2×Dic53C2514yes—
929C2×Dic53C2512yes—
930C2×Dic53C2512yes—
931D212—42no—
932D212—42no—
933C4×D53—44no—
934C4×D53—44no—
935C4×D53—44no—
936C4×D53—44no—
937C4×D53—44no—
938C4×D53—44no—
939Dic106—42no—
940Dic106—42no—
941Dic106—44no—
942Dic106—44no—
943Dic106—44no—
944Dic106—44no—
945#62826—531nomaximal, Sylow
946C22×C53—28no—
947C22×C53—21no—
948C22×C53—21no—
949C22×C53—21no—
950C22×C53—21no—
951C22×C53—21no—
952C22×C53—21no—
953C22×C53—24no—
954C22×C53—22no—
955C22×C53—24no—
956C22×C53—24no—
957C22×C53—22no—
958C22×C53—22no—
959C22×C53—22no—
960C22×C53—22no—
961C22×C53—22no—
962C22×C53—82no—
963C22×C53—84no—
964C22×C53—84no—
965C22×C53—82no—
966C22×C53—162no—
967C22×C53#58512yes—
968C22×C53#58512yes—
969C22×C53#58512yes—
970C22×C53C2611yescharacteristic
971C2×D53—24no—
972C2×D53—24no—
973C2×D53—24no—
974C2×D53—162no—
975C4×C53—24no—
976C4×C53—24no—
977C4×C53—24no—
978C4×C53—22no—
979C4×C53—22no—
980C4×C53—22no—
981C4×C53—22no—
982Dic53—24no—
983Dic53—24no—
984Dic53—22no—
985Dic53—22no—
986Dic53—24no—
987Dic53—24no—
988Dic53—24no—
989Dic53—22no—
990Dic53—22no—
991#3564—534no—
992#3564—534no—
993#3564—532no—
994#3564—532no—
995#3560—534no—
996#3560—534no—
997#3560—532no—
998#3560—532no—
999#3521—534no—
1000#3521—534no—
1001#3521—534no—
1002#3521—534no—
1003#3521—534no—
1004#3521—534no—
1005#3492—532no—
1006#3492—532no—
1007#3492—532no—
1008#3490—532no—
1009#3490—532no—
1010#3490—531no—
1011#3490D5311yescharacteristic, complemented
1012#3444—532no—
1013C22×#126—531no—
1014C2×C53—22no—
1015C2×C53—22no—
1016C2×C53—22no—
1017C2×C53—42no—
1018C2×C53—42no—
1019C2×C53—44no—
1020C2×C53C2×#58511yescharacteristic
1021C2×C53C2×#58511yescharacteristic
1022C2×C53C2×#58511yescharacteristic
1023D53—44no—
1024#563—534no—
1025#563—534no—
1026#563—534no—
1027#563—534no—
1028#563—534no—
1029#563—534no—
1030#560—534no—
1031#560—534no—
1032#556—534no—
1033#556—534no—
1034#556—534no—
1035#556—534no—
1036#556—534no—
1037#556—534no—
1038#554—534no—
1039#554—534no—
1040#554—534no—
1041#554—534no—
1042#554—534no—
1043#554—534no—
1044#553—534no—
1045#553—534no—
1046#553—534no—
1047#553—534no—
1048#553—534no—
1049#553—534no—
1050#553—534no—
1051#553—534no—
1052#553—534no—
1053#553—534no—
1054#553—534no—
1055#553—534no—
1056#552—534no—
1057#552—534no—
1058#552—534no—
1059#552—534no—
1060#552—534no—
1061#552—534no—
1062#552—534no—
1063#552—534no—
1064#552—534no—
1065#552—534no—
1066#552—534no—
1067#552—534no—
1068#551—534no—
1069#551—534no—
1070#551—534no—
1071#551—534no—
1072#551—534no—
1073#551—534no—
1074#551—534no—
1075#551—534no—
1076#551—534no—
1077#551—534no—
1078#551—534no—
1079#551—534no—
1080#551—534no—
1081#551—534no—
1082#551—534no—
1083#551—534no—
1084#551C2×D5314yescomplemented
1085#551C2×D5314yescomplemented
1086#547—534no—
1087#547—534no—
1088#547—534no—
1089#547—534no—
1090#547—534no—
1091#547—534no—
1092#546—534no—
1093#546—534no—
1094#546—534no—
1095#546—534no—
1096#546—534no—
1097#546—534no—
1098#546—534no—
1099#546—534no—
1100#546—534no—
1101#546—534no—
1102#546C2×D5314yescomplemented
1103#546C2×D5314yescomplemented
1104#544—532no—
1105#544—532no—
1106#544—532no—
1107#543—532no—
1108#543—532no—
1109#543—531no—
1110#543C2×D5311yescharacteristic, complemented
1111#542—534no—
1112#542—534no—
1113#542—534no—
1114#542—534no—
1115#542—534no—
1116#542—534no—
1117#541—534no—
1118#541—534no—
1119#541—534no—
1120#541—534no—
1121#541—534no—
1122#541—534no—
1123#539—534no—
1124#539—534no—
1125#539—534no—
1126#539—534no—
1127#539—534no—
1128#539—532no—
1129#539—532no—
1130#539—534no—
1131#539—532no—
1132#539—532no—
1133#539—534no—
1134#539—534no—
1135#539—534no—
1136#539—534no—
1137#538—534no—
1138#538—534no—
1139#538—534no—
1140#538—534no—
1141#538—534no—
1142#538—534no—
1143#538—534no—
1144#538—534no—
1145#538—534no—
1146#538—532no—
1147#538—532no—
1148#538—534no—
1149#538C2×D5312yes—
1150#538C2×D5312yes—
1151#537—532no—
1152#537—532no—
1153#537—532no—
1154#534—532no—
1155#534—532no—
1156#534—531no—
1157#534C2×D5311yescharacteristic, complemented
1158#533—532no—
1159#533—532no—
1160#533—532no—
1161#532—532no—
1162#532—532no—
1163#532—532no—
1164#529—534no—
1165#529—534no—
1166#529—534no—
1167#529—534no—
1168#529—532no—
1169#529—532no—
1170#529—532no—
1171#529—532no—
1172#529—534no—
1173#529—534no—
1174#529—534no—
1175#529—534no—
1176#529—534no—
1177#529—534no—
1178C2×#126—534no—
1179C2×#126—534no—
1180C2×#126—534no—
1181C2×#126—532no—
1182C2×#126—532no—
1183C2×#126—534no—
1184C2×#126—534no—
1185C2×#126—532no—
1186C2×#126—532no—
1187C2×#126—534no—
1188#525—532no—
1189#525—532no—
1190#525—534no—
1191#525—534no—
1192#525—534no—
1193#525—534no—
1194#525C2×D5312yescomplemented
1195#525C2×D5312yescomplemented
1196C2×#120—532no—
1197C2×#120C2×D5312yes—
1198#520—532no—
1199#520—534no—
1200#520—534no—
1201#520—532no—
1202#518—532no—
1203#518—532no—
1204#518—532no—
1205#518—532no—
1206#518—532no—
1207#518C2×D5312yescomplemented
1208C4×#41—532no—
1209C4×#41—534no—
1210C4×#41—534no—
1211C4×#41—532no—
1212C22×C4⋊C4—531no—
1213C22×C4⋊C4—531no—
1214C22×C4⋊C4—531no—
1215C22×C22⋊C4—531no—
1216C22×C22⋊C4—531no—
1217C22×C22⋊C4C2×D5311yescharacteristic
1218C22×C42—531no—
1219C53#6282611yescharacteristic, complemented, Sylow
1220C25C22×D5311yescharacteristic
1221C2×#41—534no—
1222C2×#41—534no—
1223C2×#41—534no—
1224C2×#41—534no—
1225C2×#41—532no—
1226C2×#41—532no—
1227C2×#41C22×D5312yes—
1228C2×#41C22×D5312yes—
1229C22×D4—532no—
1230C22×D4—532no—
1231C22×D4—532no—
1232C22×D4C22×D5312yes—
1233C22×D4C22×D5312yes—
1234C22×D4C22×D5312yes—
1235C23×C4—531no—
1236C23×C4—531no—
1237C23×C4—531no—
1238C23×C4—531no—
1239C23×C4C22×D5311yescharacteristic
1240C23×C4C22×D5311yescharacteristic
1241C4⋊Q8—532no—
1242C4⋊Q8—534no—
1243C4⋊Q8—534no—
1244C4⋊Q8—532no—
1245C4⋊Q8—532no—
1246C4⋊Q8—534no—
1247C4⋊Q8—534no—
1248C4⋊Q8—534no—
1249C4⋊Q8—534no—
1250#127—532no—
1251#126—534no—
1252#126—534no—
1253#126—534no—
1254#126—534no—
1255#126—534no—
1256#126—534no—
1257#126—534no—
1258#126—534no—
1259#126—534no—
1260#126—534no—
1261#126—534no—
1262#126—534no—
1263#126—534no—
1264#126—534no—
1265#126—534no—
1266#126—534no—
1267#126—534no—
1268#126—534no—
1269#126—534no—
1270#126—534no—
1271#126—534no—
1272#126—534no—
1273#126—534no—
1274#126—534no—
1275#126—534no—
1276#126—534no—
1277#126—534no—
1278#126—534no—
1279#126—534no—
1280#126—534no—
1281#126—534no—
1282#126—534no—
1283#126—534no—
1284#126—534no—
1285#126—534no—
1286#126—534no—
1287#126—534no—
1288#126—534no—
1289#126—534no—
1290#126—534no—
1291#126—534no—
1292#126—534no—
1293#126C22×D5314yes—
1294#126C22×D5314yes—
1295#125—534no—
1296#125—534no—
1297#125—532no—
1298#125—532no—
1299#125—534no—
1300#125—534no—
1301#125—534no—
1302#125—534no—
1303#125—534no—
1304#125—534no—
1305#125—534no—
1306#125—534no—
1307#125—534no—
1308#125—534no—
1309#125—534no—
1310#125—534no—
1311#125—534no—
1312#125—534no—
1313#125—534no—
1314#125—534no—
1315#125—534no—
1316#125—534no—
1317#124—532no—
1318#124—532no—
1319#124—534no—
1320#124—534no—
1321#124—534no—
1322#124—534no—
1323#124—534no—
1324#124—534no—
1325#124—534no—
1326#124—534no—
1327#124—534no—
1328#124—534no—
1329#124—534no—
1330#124—534no—
1331#124C22×D5314yes—
1332#124C22×D5314yes—
1333#123—534no—
1334#123—534no—
1335#123—534no—
1336#123—534no—
1337#123—534no—
1338#123—534no—
1339#123—534no—
1340#123—534no—
1341#123—534no—
1342#123—534no—
1343#123—534no—
1344#123—534no—
1345#123—534no—
1346#123—534no—
1347#123—534no—
1348#123—534no—
1349#123—534no—
1350#123—534no—
1351#123—534no—
1352#123—534no—
1353#123—534no—
1354#123—534no—
1355#123—534no—
1356#123—534no—
1357#123—534no—
1358#123—534no—
1359#123—534no—
1360#123—534no—
1361#123—534no—
1362#123—534no—
1363#123—534no—
1364#123—534no—
1365#123—534no—
1366#123—534no—
1367#123—534no—
1368#123—534no—
1369#123—534no—
1370#123C22×D5314yes—
1371#123C22×D5314yes—
1372#123C22×D5314yes—
1373#123C22×D5314yes—
1374#123C22×D5314yes—
1375C22⋊Q8—534no—
1376C22⋊Q8—534no—
1377C22⋊Q8—534no—
1378C22⋊Q8—532no—
1379C22⋊Q8—532no—
1380C22⋊Q8—532no—
1381C22⋊Q8—532no—
1382C22⋊Q8—534no—
1383C22⋊Q8—534no—
1384C22⋊Q8—534no—
1385C22⋊Q8—534no—
1386C22⋊Q8—534no—
1387C22⋊Q8—534no—
1388C22⋊Q8—534no—
1389C22⋊Q8—534no—
1390C22⋊Q8—534no—
1391C22⋊Q8—534no—
1392C22⋊Q8—534no—
1393C22⋊Q8—534no—
1394C22⋊Q8—534no—
1395C22⋊Q8—534no—
1396C22⋊Q8—534no—
1397C22⋊Q8—534no—
1398C22⋊Q8—534no—
1399C22⋊Q8—534no—
1400C22⋊Q8—534no—
1401C22⋊Q8—534no—
1402C22⋊Q8—534no—
1403C22⋊Q8—534no—
1404C22⋊Q8—534no—
1405C22⋊Q8—534no—
1406C22⋊Q8—534no—
1407C22⋊Q8—534no—
1408C22⋊Q8—534no—
1409C22⋊Q8—534no—
1410C22⋊Q8—534no—
1411C22⋊Q8—534no—
1412C22⋊Q8—534no—
1413C22⋊Q8—534no—
1414C22⋊Q8—534no—
1415C22⋊Q8C22×D5312yes—
1416C22⋊Q8C22×D5312yes—
1417C22⋊Q8C22×D5312yes—
1418C22⋊Q8C22×D5312yes—
1419C22⋊Q8C22×D5314yes—
1420C22⋊Q8C22×D5314yes—
1421#121—534no—
1422#121—534no—
1423#121—534no—
1424#121—534no—
1425#121—534no—
1426#121—534no—
1427#121—534no—
1428#121—534no—
1429#121—534no—
1430#121—534no—
1431#121—534no—
1432#121—534no—
1433#121—534no—
1434#121—534no—
1435#121—534no—
1436#121—534no—
1437#121—534no—
1438#121—534no—
1439#121—534no—
1440#121—532no—
1441#121—532no—
1442#121—532no—
1443#121—532no—
1444#121—534no—
1445#121—534no—
1446#121—534no—
1447#121—534no—
1448#121—534no—
1449#121C22×D5312yes—
1450#121C22×D5312yes—
1451#121C22×D5312yes—
1452#121C22×D5312yes—
1453#121C22×D5314yes—
1454#121C22×D5314yes—
1455#120—534no—
1456#120—534no—
1457#120—534no—
1458#120—534no—
1459#120—534no—
1460#120—534no—
1461#120—534no—
1462#120—534no—
1463#120—534no—
1464#120C22×D5314yes—
1465#120C22×D5314yes—
1466#120C22×D5314yes—
1467#120C22×D5314yes—
1468#120C22×D5314yes—
1469C4×Q8—532no—
1470C4×Q8—532no—
1471C4×Q8—534no—
1472C4×Q8—534no—
1473C4×Q8—532no—
1474C4×Q8—532no—
1475C4×Q8—534no—
1476C4×Q8—534no—
1477C4×Q8—534no—
1478C4×Q8—534no—
1479C4×Q8—534no—
1480C4×Q8—534no—
1481C4×Q8—534no—
1482C4×Q8—534no—
1483C4×D4—534no—
1484C4×D4—534no—
1485C4×D4—534no—
1486C4×D4—534no—
1487C4×D4—532no—
1488C4×D4—532no—
1489C4×D4—534no—
1490C4×D4—534no—
1491C4×D4—534no—
1492C4×D4—534no—
1493C4×D4—534no—
1494C4×D4—534no—
1495C4×D4—534no—
1496C4×D4—534no—
1497C4×D4—534no—
1498C4×D4—534no—
1499C4×D4—534no—
1500C4×D4—534no—
1501C4×D4—534no—
1502C4×D4—534no—
1503C4×D4—534no—
1504C4×D4—534no—
1505C4×D4—534no—
1506C4×D4—534no—
1507C4×D4—534no—
1508C4×D4—534no—
1509C4×D4—534no—
1510C4×D4—532no—
1511C4×D4—532no—
1512C4×D4—534no—
1513C4×D4—534no—
1514C4×D4—534no—
1515C4×D4—534no—
1516C4×D4—534no—
1517C4×D4—534no—
1518C4×D4—534no—
1519C4×D4—534no—
1520C4×D4—534no—
1521C4×D4—534no—
1522C4×D4—534no—
1523C4×D4—534no—
1524C4×D4—534no—
1525C4×D4—534no—
1526C4×D4—534no—
1527C4×D4C22×D5314yes—
1528C4×D4C22×D5314yes—
1529C4×D4C22×D5314yes—
1530C4×D4C22×D5314yes—
1531C4×D4C22×D5314yes—
1532C4×D4C22×D5314yes—
1533#117—532no—
1534#117—534no—
1535#117—534no—
1536#117—534no—
1537#117—532no—
1538#117—534no—
1539#117—534no—
1540#117—534no—
1541#117—534no—
1542#117—534no—
1543#117—534no—
1544#117—534no—
1545#117—534no—
1546#117—534no—
1547#117—534no—
1548#117—534no—
1549#117—534no—
1550#117—534no—
1551#117—534no—
1552#117—534no—
1553#117—534no—
1554#117—534no—
1555#117—534no—
1556#117C22×D5312yes—
1557#117C22×D5314yes—
1558#117C22×D5312yes—
1559C2×C4⋊C4—532no—
1560C2×C4⋊C4—532no—
1561C2×C4⋊C4—532no—
1562C2×C4⋊C4—532no—
1563C2×C4⋊C4—532no—
1564C2×C4⋊C4—532no—
1565C2×C4⋊C4—534no—
1566C2×C4⋊C4—534no—
1567C2×C4⋊C4—532no—
1568C2×C4⋊C4—532no—
1569C2×C4⋊C4—532no—
1570C2×C4⋊C4—532no—
1571C2×C4⋊C4—534no—
1572C2×C4⋊C4—534no—
1573C2×C4⋊C4—534no—
1574C2×C4⋊C4—534no—
1575C2×C4⋊C4—534no—
1576C2×C4⋊C4—534no—
1577C2×C4⋊C4—534no—
1578C2×C4⋊C4—534no—
1579C2×C22⋊C4—532no—
1580C2×C22⋊C4—532no—
1581C2×C22⋊C4—532no—
1582C2×C22⋊C4—532no—
1583C2×C22⋊C4—532no—
1584C2×C22⋊C4—534no—
1585C2×C22⋊C4—532no—
1586C2×C22⋊C4—532no—
1587C2×C22⋊C4—534no—
1588C2×C22⋊C4—532no—
1589C2×C22⋊C4—532no—
1590C2×C22⋊C4—532no—
1591C2×C22⋊C4—532no—
1592C2×C22⋊C4—534no—
1593C2×C22⋊C4—534no—
1594C2×C22⋊C4—534no—
1595C2×C22⋊C4—534no—
1596C2×C22⋊C4—534no—
1597C2×C22⋊C4C22×D5311yescharacteristic
1598C2×C22⋊C4C22×D5311yescharacteristic
1599C2×C22⋊C4C22×D5311yescharacteristic
1600C2×C22⋊C4C22×D5311yescharacteristic
1601C2×C22⋊C4C22×D5314yes—
1602C2×C22⋊C4C22×D5314yes—
1603C2×C22⋊C4C22×D5312yes—
1604C2×C22⋊C4C22×D5312yes—
1605C2×C22⋊C4C22×D5312yes—
1606C2×C22⋊C4C22×D5314yes—
1607C2×C42—534no—
1608C2×C42—532no—
1609C2×C42—532no—
1610C2×C42—532no—
1611C2×C42—532no—
1612C2×C42—532no—
1613C2×C42—532no—
1614C2×C42—534no—
1615C24—42no—
1616C24—42no—
1617C24—42no—
1618C24—532no—
1619C24C23×D5311yescharacteristic
1620C24C23×D5311yescharacteristic
1621C24C23×D5312yes—
1622C24C23×D5312yes—
1623C24C23×D5311yescharacteristic
1624C24C23×D5312yes—
1625#41—44no—
1626#41—44no—
1627#41—2124no—
1628#41—2124no—
1629#41—2128no—
1630#41—2128no—
1631#41—2128no—
1632#41—2128no—
1633C2×Q8—532no—
1634C2×Q8—534no—
1635C2×Q8—534no—
1636C2×Q8—532no—
1637C2×Q8—534no—
1638C2×Q8—534no—
1639C2×Q8C23×D5312yes—
1640C2×Q8C23×D5312yes—
1641C2×D4—44no—
1642C2×D4—44no—
1643C2×D4—44no—
1644C2×D4—534no—
1645C2×D4—534no—
1646C2×D4—534no—
1647C2×D4—534no—
1648C2×D4—534no—
1649C2×D4—534no—
1650C2×D4—534no—
1651C2×D4—534no—
1652C2×D4—534no—
1653C2×D4—534no—
1654C2×D4—532no—
1655C2×D4—532no—
1656C2×D4—2124no—
1657C2×D4—2124no—
1658C2×D4—2124no—
1659C2×D4C23×D5314yes—
1660C2×D4C23×D5314yes—
1661C2×D4C23×D5314yes—
1662C2×D4C23×D5314yes—
1663C2×D4C23×D5314yes—
1664C2×D4C23×D5312yes—
1665C2×D4C23×D5312yes—
1666C2×D4C23×D5314yes—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—532no—
1670C22×C4—532no—
1671C22×C4—532no—
1672C22×C4—532no—
1673C22×C4—531no—
1674C22×C4—531no—
1675C22×C4—532no—
1676C22×C4—532no—
1677C22×C4—531no—
1678C22×C4—531no—
1679C22×C4—534no—
1680C22×C4—534no—
1681C22×C4—532no—
1682C22×C4—532no—
1683C22×C4—532no—
1684C22×C4—532no—
1685C22×C4—532no—
1686C22×C4—532no—
1687C22×C4—532no—
1688C22×C4—534no—
1689C22×C4—534no—
1690C22×C4—534no—
1691C22×C4—534no—
1692C22×C4—534no—
1693C22×C4—534no—
1694C22×C4—534no—
1695C22×C4—534no—
1696C22×C4—2122no—
1697C22×C4—2122no—
1698C22×C4—2122no—
1699C22×C4—2122no—
1700C22×C4C23×D5312yes—
1701C22×C4C23×D5312yes—
1702C22×C4C23×D5311yescharacteristic
1703C22×C4C23×D5312yes—
1704C22×C4C23×D5311yescharacteristic
1705C22×C4C23×D5314yes—
1706C22×C4C23×D5311yescharacteristic
1707C22×C4C23×D5312yes—
1708C22×C4C23×D5311yescharacteristic
1709C22×C4C23×D5312yes—
1710C22×C4C23×D5312yes—
1711C22×C4C23×D5312yes—
1712C22×C4C23×D5314yes—
1713C4⋊C4—534no—
1714C4⋊C4—534no—
1715C4⋊C4—534no—
1716C4⋊C4—534no—
1717C4⋊C4—534no—
1718C4⋊C4—534no—
1719C4⋊C4—534no—
1720C4⋊C4—534no—
1721C4⋊C4—534no—
1722C4⋊C4—534no—
1723C4⋊C4—534no—
1724C4⋊C4—534no—
1725C4⋊C4—534no—
1726C4⋊C4—534no—
1727C4⋊C4—532no—
1728C4⋊C4—534no—
1729C4⋊C4—534no—
1730C4⋊C4—534no—
1731C4⋊C4—534no—
1732C4⋊C4—534no—
1733C4⋊C4—534no—
1734C4⋊C4—534no—
1735C4⋊C4—534no—
1736C4⋊C4—534no—
1737C4⋊C4—534no—
1738C4⋊C4—534no—
1739C4⋊C4—534no—
1740C4⋊C4—532no—
1741C4⋊C4—534no—
1742C4⋊C4—534no—
1743C4⋊C4—534no—
1744C4⋊C4—534no—
1745C4⋊C4—534no—
1746C4⋊C4—534no—
1747C4⋊C4—534no—
1748C4⋊C4—534no—
1749C4⋊C4—534no—
1750C4⋊C4—534no—
1751C4⋊C4—534no—
1752C4⋊C4—534no—
1753C4⋊C4—532no—
1754C4⋊C4—532no—
1755C4⋊C4—534no—
1756C4⋊C4—534no—
1757C4⋊C4C23×D5312yes—
1758C4⋊C4C23×D5314yes—
1759C4⋊C4C23×D5314yes—
1760C4⋊C4C23×D5312yes—
1761C4⋊C4C23×D5314yes—
1762C4⋊C4C23×D5312yes—
1763C4⋊C4C23×D5312yes—
1764C4⋊C4C23×D5314yes—
1765C22⋊C4—534no—
1766C22⋊C4—534no—
1767C22⋊C4—534no—
1768C22⋊C4—534no—
1769C22⋊C4—534no—
1770C22⋊C4—534no—
1771C22⋊C4—534no—
1772C22⋊C4—534no—
1773C22⋊C4—534no—
1774C22⋊C4—534no—
1775C22⋊C4—534no—
1776C22⋊C4—534no—
1777C22⋊C4—534no—
1778C22⋊C4—534no—
1779C22⋊C4—534no—
1780C22⋊C4—534no—
1781C22⋊C4—534no—
1782C22⋊C4—534no—
1783C22⋊C4—534no—
1784C22⋊C4—534no—
1785C22⋊C4—534no—
1786C22⋊C4—534no—
1787C22⋊C4—534no—
1788C22⋊C4—534no—
1789C22⋊C4—534no—
1790C22⋊C4—534no—
1791C22⋊C4—534no—
1792C22⋊C4—534no—
1793C22⋊C4—534no—
1794C22⋊C4—534no—
1795C22⋊C4—534no—
1796C22⋊C4—534no—
1797C22⋊C4—534no—
1798C22⋊C4—534no—
1799C22⋊C4C23×D5314yes—
1800C22⋊C4C23×D5314yes—
1801C22⋊C4C23×D5314yes—
1802C22⋊C4C23×D5314yes—
1803C22⋊C4C23×D5314yes—
1804C22⋊C4C23×D5314yes—
1805C22⋊C4C23×D5314yes—
1806C22⋊C4C23×D5314yes—
1807C22⋊C4C23×D5314yes—
1808C22⋊C4C23×D5314yes—
1809C22⋊C4C23×D5314yes—
1810C22⋊C4C23×D5314yes—
1811C22⋊C4C23×D5314yes—
1812C22⋊C4C23×D5314yes—
1813C42—532no—
1814C42—532no—
1815C42—532no—
1816C42—532no—
1817C42—532no—
1818C42—532no—
1819C42—532no—
1820C42—532no—
1821C42—534no—
1822C42—534no—
1823C42—534no—
1824C42—534no—
1825C42—534no—
1826C42—534no—
1827C42—534no—
1828C42—534no—
1829C42—534no—
1830C42—534no—
1831C42C23×D5314yes—
1832C42C23×D5314yes—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—24no—
1837C23—24no—
1838C23—22no—
1839C23—22no—
1840C23—41no—
1841C23—41no—
1842C23—42no—
1843C23—42no—
1844C23—41no—
1845C23—41no—
1846C23—42no—
1847C23—42no—
1848C23—42no—
1849C23—42no—
1850C23—42no—
1851C23—88no—
1852C23—534no—
1853C23—2122no—
1854C23—2122no—
1855C23—2122no—
1856C23C24×D5312yes—
1857C23C24×D5312yes—
1858C23C24×D5314yes—
1859C23C24×D5311yescharacteristic
1860C23C24×D5311yescharacteristic
1861C23C24×D5311yescharacteristic
1862Q8—42no—
1863Q8—42no—
1864Q8—2122no—
1865Q8—2122no—
1866Q8—2124no—
1867Q8—2124no—
1868Q8—2124no—
1869Q8—2124no—
1870D4—28no—
1871D4—28no—
1872D4—28no—
1873D4—44no—
1874D4—44no—
1875D4—44no—
1876D4—42no—
1877D4—42no—
1878D4—1068no—
1879D4—1068no—
1880D4—1068no—
1881D4—2122no—
1882D4—2122no—
1883D4—2124no—
1884D4—2124no—
1885D4—2124no—
1886D4—2124no—
1887D4—2124no—
1888D4—2124no—
1889D4—2124no—
1890C2×C4—24no—
1891C2×C4—24no—
1892C2×C4—41no—
1893C2×C4—42no—
1894C2×C4—41no—
1895C2×C4—42no—
1896C2×C4—41no—
1897C2×C4—41no—
1898C2×C4—42no—
1899C2×C4—42no—
1900C2×C4—42no—
1901C2×C4—44no—
1902C2×C4—44no—
1903C2×C4—532no—
1904C2×C4—532no—
1905C2×C4—532no—
1906C2×C4—534no—
1907C2×C4—534no—
1908C2×C4—532no—
1909C2×C4—534no—
1910C2×C4—534no—
1911C2×C4—534no—
1912C2×C4—1064no—
1913C2×C4—1064no—
1914C2×C4—1064no—
1915C2×C4—1064no—
1916C2×C4—2124no—
1917C2×C4—2124no—
1918C2×C4—2124no—
1919C2×C4—2124no—
1920C2×C4—2124no—
1921C2×C4—2124no—
1922C2×C4—2121no—
1923C2×C4—2122no—
1924C2×C4—2122no—
1925C2×C4—2122no—
1926C2×C4—2121no—
1927C2×C4—2121no—
1928C2×C4—2122no—
1929C2×C4—2122no—
1930C2×C4—2122no—
1931C2×C4—2121no—
1932C2×C4—2122no—
1933C2×C4—2122no—
1934C2×C4—2122no—
1935C2×C4—2124no—
1936C2×C4—2124no—
1937C2×C4—2124no—
1938C2×C4—2124no—
1939C2×C4C24×D5312yes—
1940C2×C4C24×D5312yes—
1941C2×C4C24×D5314yes—
1942C2×C4C24×D5314yes—
1943C2×C4C24×D5314yes—
1944C2×C4C24×D5312yes—
1945C2×C4C24×D5312yes—
1946C22—28no—
1947C22—21no—
1948C22—21no—
1949C22—21no—
1950C22—21no—
1951C22—21no—
1952C22—21no—
1953C22—24no—
1954C22—24no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—24no—
1961C22—22no—
1962C22—84no—
1963C22—84no—
1964C22—82no—
1965C22—82no—
1966C22—162no—
1967C22—8482no—
1968C22—1064no—
1969C22—1064no—
1970C22—1064no—
1971C22#1681145812yes—
1972C22#1681145812yes—
1973C22#1681145912yes—
1974C22C25×D5311yescharacteristic
1975C4—22no—
1976C4—22no—
1977C4—22no—
1978C4—22no—
1979C4—24no—
1980C4—24no—
1981C4—24no—
1982C4—1062no—
1983C4—1064no—
1984C4—1062no—
1985C4—1064no—
1986C4—1064no—
1987C4—1062no—
1988C4—1064no—
1989C4—1062no—
1990C4—1064no—
1991C2—22no—
1992C2—22no—
1993C2—22no—
1994C2—42no—
1995C2—42no—
1996C2—44no—
1997C2—2124no—
1998C2C2×#1681145811yescharacteristic
1999C2C2×#1681145811yescharacteristic
2000C2C2×#1681145911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3490C2
hypercenter#3490D53
hypocenterC53#62826
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3490

Complements

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

NH ≅ G/Ntype
1. #20289341C2semidirect
2. #20289331C2semidirect
3. #20289329C2semidirect
4. #20289327C2semidirect
5. #20289269C2semidirect
6. #20289259C2semidirect
7. #20289257C2semidirect
8. #20289255C2semidirect
9. #20288780C2semidirect
10. #20288779C2semidirect
11. #20288776C2semidirect
12. #20288772C2semidirect
13. #20288771C2semidirect
14. #20288768C2semidirect
15. #20288421C2semidirect
16. #20288416C2semidirect
17. #20288416C2semidirect
18. #20288404C2semidirect
19. #20288402C2semidirect
20. #20288402C2semidirect
21. #20288007C2semidirect
22. C22×#13133210C2semidirect
23. C53×#3490C2semidirect
24. #16811376C22semidirect
25. #16811376C22semidirect
26. #16811375C22semidirect
27. #16811374C22semidirect
28. #16811374C22semidirect
29. #16811373C22semidirect
30. #16811362C22semidirect
31. #16811361C22semidirect
32. #16811344C22semidirect
33. #16811343C22semidirect
34. #16811342C22semidirect
35. #16811342C22semidirect
36. #16811341C22semidirect
37. #16811340C22semidirect
38. #16811332C22semidirect
39. #16811332C22semidirect
40. #16811331C22semidirect
41. #16811330C22semidirect
42. #16811327C22semidirect
43. #16811327C22semidirect
44. #16811325C22semidirect
45. #16811325C22semidirect
46. #16811323C22semidirect
47. #16811322C22semidirect
48. #16811322C22semidirect
49. #16811322C22semidirect
50. #16811320C22semidirect
51. #16811319C22semidirect
52. #16811318C22semidirect
53. #16811316C22semidirect
54. #16811316C22semidirect
55. #16811316C22semidirect
56. #16811315C22semidirect
57. #16811313C22semidirect
58. #16811313C22semidirect
59. #16811312C22semidirect
60. #16811310C22semidirect
61. #16811310C22semidirect
62. #16811310C22semidirect
63. #16811310C22semidirect
64. #16811309C22semidirect
65. #16811307C22semidirect
66. #16811306C22semidirect
67. #16811306C22semidirect
68. #16811304C22semidirect
69. #16811304C22semidirect
70. #16811304C22semidirect
71. #16811304C22semidirect
72. #16811304C22semidirect
73. #16811303C22semidirect
74. #16811301C22semidirect
75. #16811299C22semidirect
76. #16811299C22semidirect
77. #16811299C22semidirect
78. #16811299C22semidirect
79. #16811299C22semidirect
80. #16811299C22semidirect
81. #16811299C22semidirect
82. #16811299C22semidirect
83. #16811298C22semidirect
84. #16811277C22semidirect
85. #16811273C22semidirect
86. #16811272C22semidirect
87. #16811272C22semidirect
88. #16811271C22semidirect
89. #16811271C22semidirect
90. #16811267C22semidirect
91. #16811267C22semidirect
92. #16811267C22semidirect
93. #16811267C22semidirect
94. #16811263C22semidirect
95. #16811263C22semidirect
96. #16811260C22semidirect
97. #16811260C22semidirect
98. #16811260C22semidirect
99. #16811260C22semidirect
100. #16811252C22semidirect
101. #16811252C22semidirect
102. #16811251C22semidirect
103. #16811249C22semidirect
104. #16811249C22semidirect
105. #16811249C22semidirect
106. #16811243C22semidirect
107. #16811242C22semidirect
108. #16811241C22semidirect
109. #16811240C22semidirect
110. #16811238C22semidirect
111. #16811237C22semidirect
112. #16811235C22semidirect
113. #16811233C22semidirect
114. #16811233C22semidirect
115. #16811230C22semidirect
116. #16811230C22semidirect
117. #16811230C22semidirect
118. #16811222C22semidirect
119. #16811222C22semidirect
120. #16811219C22semidirect
121. #16811218C22semidirect
122. #16811218C22semidirect
123. #16811218C22semidirect
124. #16811217C22semidirect
125. #16811217C22semidirect
126. #16811217C22semidirect
127. #16811216C22semidirect
128. #16811216C22semidirect
129. #16811215C22semidirect
130. #16811215C22semidirect
131. #16811215C22semidirect
134. #16811211C22semidirect
135. #16811209C22semidirect
140. #16811208C22semidirect
141. #16811208C22semidirect
142. #16811207C22semidirect
143. #16811205C22semidirect
144. #16811201C22semidirect
145. #16811200C22semidirect
146. #16811200C22semidirect
147. #16811185C22semidirect
148. #16811182C22semidirect
149. #16811182C22semidirect
150. #16811176C22semidirect
151. #16811175C22semidirect
152. #16811175C22semidirect
153. #16811169C22semidirect
154. #16811168C22semidirect
155. #16811168C22semidirect
156. #16811159C22semidirect
157. #16811159C22semidirect
158. #16811155C22semidirect
159. #16811154C22semidirect
160. #16811154C22semidirect
161. #16811154C22semidirect
162. #16811153C22semidirect
163. #16811153C22semidirect
164. #16811153C22semidirect
165. #16811152C22semidirect
166. #16811151C22semidirect
167. #16811150C22semidirect
168. #16811150C22semidirect
169. #16811150C22semidirect
170. C2×#13133210C22semidirect
171. C2×#13133210C22semidirect
172. C2×#13133210C22semidirect
173. C2×#13133210C22semidirect
174. C2×#13133210C22semidirect
175. C2×#13133210C22semidirect
176. C2×#13133210C22semidirect
177. C2×#13133210C22semidirect
178. C2×#13133210C22semidirect
179. #126×D53C22semidirect
180. #16811134C22semidirect
181. #16811134C22semidirect
182. #16811129C22semidirect
183. #16811129C22semidirect
184. #16811129C22semidirect
185. #16811129C22semidirect
187. #16811106C22semidirect
188. #16811103C22semidirect
189. #16811102C22semidirect
190. #16811102C22semidirect
191. #16811098C22semidirect
192. #16811098C22semidirect
193. #16811096C22semidirect
194. #16811096C22semidirect
195. #16811096C22semidirect
196. #41×Dic53C22semidirect
197. #16811091C22semidirect
198. C4×#11719947C22semidirect
199. C4×#11719947C22semidirect
200. C22×C4⋊Dic53C22semidirect
201. C22×#11719919C22semidirect
202. C22×#11719919C22semidirect
205. C22×C4×Dic53C22semidirect
206. C53×#551C22semidirect
207. C53×#551C22semidirect
208. C53×#546C22semidirect
209. C53×#546C22semidirect
210. C53×#543C22semidirect
213. C53×#534C22semidirect
214. C53×#525C22semidirect
215. C53×#525C22semidirect
217. C53×#518C22semidirect
232. #13133217C23semidirect
233. #13133216C23semidirect
234. #13133216C23semidirect
235. #13133216C23semidirect
236. #13133216C23semidirect
237. #13133216C23semidirect
238. #13133215C23semidirect
239. #13133215C23semidirect
240. #13133215C23semidirect
241. #13133213C23semidirect
242. #13133212C23semidirect
243. #13133212C23semidirect
244. #13133212C23semidirect
245. #13133212C23semidirect
246. #13133212C23semidirect
247. #13133212C23semidirect
248. #13133211C23semidirect
249. #13133211C23semidirect
276. #13133210C23semidirect
277. #13133210C23semidirect
278. #13133210C23semidirect
279. #13133210C23semidirect
280. #13133210C23semidirect
281. #13133210C23semidirect
282. #13133210C23semidirect
283. #13133210C23semidirect
284. #13133209C23semidirect
285. #13133209C23semidirect
286. #13133209C23semidirect
287. #13133208C23semidirect
288. #13133208C23semidirect
289. #13133208C23semidirect
290. #13133208C23semidirect
291. #13133208C23semidirect
292. #13133208C23semidirect
293. #13133208C23semidirect
294. #13133207C23semidirect
295. #13133207C23semidirect
296. #13133207C23semidirect
297. #13133207C23semidirect
298. #13133207C23semidirect
299. #13133207C23semidirect
300. #13133207C23semidirect
301. #13133207C23semidirect
302. #13133207C23semidirect
303. #13133207C23semidirect
304. #13133207C23semidirect
305. #13133207C23semidirect
306. #13133206C23semidirect
311. #13133204C23semidirect
318. #13133203C23semidirect
319. #13133203C23semidirect
320. #13133202C23semidirect
321. #13133202C23semidirect
327. #13133201C23semidirect
328. #13133201C23semidirect
333. #13133200C23semidirect
334. #13133200C23semidirect
341. #13133199C23semidirect
342. #13133199C23semidirect
343. #13133199C23semidirect
344. #13133199C23semidirect
355. #13133198C23semidirect
356. #13133198C23semidirect
357. #13133197C23semidirect
358. #13133197C23semidirect
367. #13133196C23semidirect
368. #13133196C23semidirect
369. #13133196C23semidirect
370. #13133195C23semidirect
371. #13133195C23semidirect
372. #13133195C23semidirect
373. #13133195C23semidirect
388. #13133194C23semidirect
389. #13133194C23semidirect
390. #13133194C23semidirect
391. #13133194C23semidirect
392. #13133194C23semidirect
393. #13133194C23semidirect
394. #13133193C23semidirect
395. #13133193C23semidirect
396. #13133193C23semidirect
401. #13133191C23semidirect
404. #13133190C23semidirect
405. #13133190C23semidirect
418. #13133189C23semidirect
419. #13133189C23semidirect
424. #13133188C23semidirect
434. Q8×Dic53C23semidirect
435. Q8×Dic53C23semidirect
436. Q8×Dic53C23semidirect
437. C4×Dic106C23semidirect
438. C4×Dic106C23semidirect
439. C4×Dic106C23semidirect
440. C4×Dic106C23semidirect
441. C4×Dic106C23semidirect
442. #13133182C23semidirect
443. #13133182C23semidirect
444. #13133182C23semidirect
445. #13133182C23semidirect
446. #13133182C23semidirect
447. #13133182C23semidirect
448. C4×D212C23semidirect
461. D4×Dic53C23semidirect
462. D4×Dic53C23semidirect
463. D4×Dic53C23semidirect
464. #13133179C23semidirect
465. #13133179C23semidirect
474. C4×C22⋊D53C23semidirect
475. C4×C22⋊D53C23semidirect
476. C4×C22⋊D53C23semidirect
477. C4×C22⋊D53C23semidirect
488. #13133177C23semidirect
489. #13133177C23semidirect
490. #13133177C23semidirect
491. #13133177C23semidirect
496. #13133176C23semidirect
497. #13133176C23semidirect
498. #13133175C23semidirect
499. #13133175C23semidirect
500. #13133175C23semidirect
501. #13133174C23semidirect
502. #13133174C23semidirect
503. #13133174C23semidirect
511. #13133173C23semidirect
512. #13133173C23semidirect
513. #13133173C23semidirect
514. #13133173C23semidirect
520. C2×C4⋊Dic53C23semidirect
530. C2×#11719919C23semidirect
531. C2×#11719919C23semidirect
532. C4⋊C4×D53C23semidirect
533. C4⋊C4×D53C23semidirect
534. C4⋊C4×D53C23semidirect
559. C2×C4×Dic53C23semidirect
560. C42×D53C23semidirect
1011. #3490D53semidirect
1084. #551C2×D53semidirect
1085. #551C2×D53semidirect
1102. #546C2×D53semidirect
1103. #546C2×D53semidirect
1110. #543C2×D53semidirect
1157. #534C2×D53semidirect
1194. #525C2×D53semidirect
1195. #525C2×D53semidirect
1207. #518C2×D53semidirect
1219. C53#62826semidirect

Maximal subgroups

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

subgroupindex
#202893412
#202893312
#202893292
#202893272
#202892692
#202892592
#202892572
#202892552
#202887802
#202887792
#202887762
#202887722
#202887712
#202887682
#202884212
#202884162
#202884042
#202884022
#202880072
C22×#131332102
C53×#34902
#6282653