Finite Group Databasebeta

← #28292717

Subgroups — #28292717

Order 13568.

8042 conjugacy classes of subgroups.

The subgroup lattice has 2268 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289026C214yesmaximal, complemented
2#20289018C214yesmaximal, complemented
3#20288945C214yesmaximal, complemented
4#20288930C214yesmaximal, complemented
5#20288901C214yesmaximal, complemented
6#20288893C214yesmaximal, complemented
7#20288736C214yesmaximal, complemented
8#20288734C214yesmaximal, complemented
9#20288552C212yesmaximal, complemented
10#20288545C212yesmaximal, complemented
11#20288476C212yesmaximal, complemented
12#20288474C212yesmaximal, complemented
13#20288437C214yesmaximal, complemented
14#20288416C212yesmaximal, complemented
15#20288402C212yesmaximal, complemented
16#20288398C212yesmaximal, complemented
17#20288375C214yesmaximal, complemented
18#20288350C211yesmaximal, characteristic, complemented
19#20288344C212yesmaximal, complemented
20#20288344C212yesmaximal, complemented
21C2×#16811129C212yesmaximal, complemented
22C22×#13133189C211yesmaximal, characteristic, complemented
23C53×#3484C211yesmaximal, characteristic, complemented
24C2×#13133262C2212yescomplemented
25C2×#13133262C2212yescomplemented
26C2×#13133262C2211yescharacteristic, complemented
27C22×#11719947C2212yescomplemented
28C23×C22⋊D53C2211yescharacteristic, complemented
29C23×C22⋊D53C2211yescharacteristic, complemented
30C24×Dic53C2211yescharacteristic, complemented
31#16811370C2214yescomplemented
32#16811368C2214yescomplemented
33#16811368C2214yescomplemented
34#16811367C2214yescomplemented
35#16811362C2214yescomplemented
36#16811361C2214yescomplemented
37#16811361C2214yescomplemented
38#16811360C2214yescomplemented
39#16811337C2214yescomplemented
40#16811335C2214yescomplemented
41#16811332C2214yescomplemented
42#16811327C2214yescomplemented
43#16811325C2214yescomplemented
44#16811322C2214yescomplemented
45#16811322C2214yescomplemented
46#16811322C2214yescomplemented
47#16811319C2214yescomplemented
48#16811318C2214yescomplemented
49#16811316C2214yescomplemented
50#16811316C2214yescomplemented
51#16811316C2214yescomplemented
52#16811316C2214yescomplemented
53#16811310C2214yescomplemented
54#16811306C2214yescomplemented
55#16811304C2214yescomplemented
56#16811304C2214yescomplemented
57#16811302C2214yescomplemented
58#16811300C2214yescomplemented
59#16811299C2214yescomplemented
60#16811299C2214yescomplemented
61#16811297C2214yescomplemented
62#16811296C2214yescomplemented
63#16811293C2214yescomplemented
64#16811291C2214yescomplemented
65#16811282C2214yescomplemented
66#16811279C2214yescomplemented
67#16811272C2214yescomplemented
68#16811272C2214yescomplemented
69#16811271C2214yescomplemented
70#16811271C2214yescomplemented
71#16811268C2214yescomplemented
72#16811267C2214yescomplemented
73#16811267C2214yescomplemented
74#16811267C2214yescomplemented
75#16811267C2214yescomplemented
76#16811267C2214yescomplemented
77#16811265C2214yescomplemented
78#16811265C2214yescomplemented
79#16811263C2214yescomplemented
80#16811263C2214yescomplemented
81#16811263C2214yescomplemented
82#16811263C2214yescomplemented
83#16811262C2214yescomplemented
84#16811262C2214yescomplemented
85#16811261C2214yescomplemented
86#16811261C2214yescomplemented
87#16811260C2214yescomplemented
88#16811260C2214yescomplemented
89#16811260C2214yescomplemented
90#16811260C2214yescomplemented
91#16811260C2214yescomplemented
92#16811260C2214yescomplemented
93#16811260C2214yescomplemented
94#16811260C2214yescomplemented
95D4×C22⋊D53C2214yescomplemented
96D4×C22⋊D53C2214yescomplemented
97D4×C22⋊D53C2214yescomplemented
98D4×C22⋊D53C2214yescomplemented
99D4×C22⋊D53C2214yescomplemented
100D4×C22⋊D53C2214yescomplemented
101D4×C22⋊D53C2214yescomplemented
102#16811255C2214yescomplemented
103#16811255C2214yescomplemented
104#16811255C2214yescomplemented
105#16811255C2214yescomplemented
106#16811255C2214yescomplemented
107#16811252C2212yescomplemented
108#16811249C2212yescomplemented
109#16811248C2212yescomplemented
110#16811241C2214yescomplemented
111#16811237C2214yescomplemented
112#16811227C2214yescomplemented
113#16811226C2214yescomplemented
114#16811225C2214yescomplemented
115#16811223C2214yescomplemented
116#16811223C2214yescomplemented
117#16811223C2214yescomplemented
118#16811222C2212yescomplemented
119#16811218C2212yescomplemented
120#16811217C2214yescomplemented
121#16811215C2214yescomplemented
122#16811215C2214yescomplemented
123#16811213C2212yescomplemented
124#16811210C2212yescomplemented
125#16811210C2214yescomplemented
126#16811208C2214yescomplemented
127#16811208C2214yescomplemented
128#16811208C2214yescomplemented
129#16811208C2214yescomplemented
130#16811207C2214yescomplemented
131#16811206C2214yescomplemented
132#16811206C2214yescomplemented
133#16811205C2214yescomplemented
134#16811202C2214yescomplemented
135#16811201C2214yescomplemented
136#16811200C2212yescomplemented
137#16811200C2214yescomplemented
138#16811200C2214yescomplemented
139#16811190C2212yescomplemented
140#16811188C2214yescomplemented
141#16811188C2214yescomplemented
142#16811188C2214yescomplemented
143#16811186C2214yescomplemented
144#16811185C2212yescomplemented
145#16811185C2212yescomplemented
146#16811183C2214yescomplemented
147#16811183C2214yescomplemented
148#16811182C2212yescomplemented
149#16811182C2212yescomplemented
150#16811182C2212yescomplemented
151#16811182C2212yescomplemented
152#16811182C2212yescomplemented
153#16811182C2214yescomplemented
154#16811181C2212yescomplemented
155#16811181C2214yescomplemented
156#16811169C2214yescomplemented
157#16811168C2214yescomplemented
158#16811153C2214yescomplemented
159#16811150C2214yescomplemented
160#16811134C2212yescomplemented
161#16811132C2214yescomplemented
162#16811129C2214yescomplemented
163#16811129C2214yescomplemented
164#16811129C2214yescomplemented
165#16811129C2214yescomplemented
166#16811129C2214yescomplemented
167#16811129C2214yescomplemented
168#16811129C2214yescomplemented
169#16811129C2214yescomplemented
170#16811129C2214yescomplemented
171#16811129C2214yescomplemented
172C2×#13133201C2212yescomplemented
173C2×#13133198C2212yescomplemented
174C2×#13133194C2212yescomplemented
175C2×#13133194C2212yescomplemented
176C2×#13133189C2212yescomplemented
177C2×#13133189C2212yescomplemented
178C2×#13133189C2212yescomplemented
179C2×#13133189C2214yescomplemented
180C2×#13133189C2214yescomplemented
181C2×#13133189C2214yescomplemented
182C2×#13133189C2214yescomplemented
183C2×#13133189C2212yescomplemented
184C2×#13133189C2212yescomplemented
185C2×#13133189C2212yescomplemented
186C2×#13133189C2214yescomplemented
187#121×D53C2214yescomplemented
188C2×#13133186C2212yescomplemented
189C2×#13133186C2212yescomplemented
190#120×D53C2214yescomplemented
191#16811102C2214yescomplemented
192#16811098C2211yescharacteristic, complemented
193#16811098C2212yescomplemented
194#16811096C2212yescomplemented
195#16811096C2212yescomplemented
196#16811096C2212yescomplemented
197#16811095C2214yescomplemented
198C2×D4×Dic53C2212yescomplemented
199C2×D4×Dic53C2212yescomplemented
200C2×#13133177C2212yescomplemented
201C2×#13133177C2212yescomplemented
202C2×#13133173C2212yescomplemented
203C22×#11719919C2211yescharacteristic, complemented
204C22×C22⋊Dic53C2211yescharacteristic, complemented
205C22×#11719921C2211yescharacteristic, complemented
206C2×H(5,𝔽2)×C53C2211yescharacteristic, complemented
207C23×D4×C53C2211yescharacteristic, complemented
208C53×#546C2214yescomplemented
209C53×#546C2214yescomplemented
210D42×C53C2214yescomplemented
211D42×C53C2214yescomplemented
212C53×#535C2212yescomplemented
213C53×#534C2212yescomplemented
214C53×#534C2212yescomplemented
215C53×#525C2212yescomplemented
216C2×#120×C53C2212yescomplemented
217C2×#120×C53C2212yescomplemented
218C53×#518C2211yescharacteristic, complemented
219C24×D53C2311yescharacteristic
220#13133262—48no—
221#13133262—44no—
222#13133262—48no—
223C2×#11719945C2312yes—
224C2×#11719945C2314yescomplemented
225C2×#11719945C2314yescomplemented
226C2×#11719947—48no—
227C2×#11719947C2314yes—
228C2×#11719947C2314yes—
229C2×#11719947C2314yes—
230C2×#11719947C2314yescomplemented
231C2×#11719947C2314yescomplemented
232C2×#11719947C2314yescomplemented
233C2×#11719947C2314yescomplemented
234C2×#11719947C2314yescomplemented
235C22×Dic106C2312yescomplemented
236C22×C22⋊D53—44no—
237C22×C22⋊D53—44no—
238C22×C22⋊D53C2312yes—
239C22×C22⋊D53C2312yes—
240C22×C22⋊D53C2312yes—
241C22×C22⋊D53C2312yes—
242C22×C22⋊D53C2312yes—
243C22×C22⋊D53C2312yes—
244C22×C22⋊D53C2312yes—
245C22×C22⋊D53C2312yes—
246C22×C22⋊D53C2312yes—
247C22×C22⋊D53C2312yes—
248C22×C22⋊D53C2312yes—
249C22×C22⋊D53C2314yes—
250C22×C22⋊D53C2314yes—
251C22×C22⋊D53C2314yes—
252C22×C22⋊D53C2312yes—
253C22×C22⋊D53C2312yescomplemented
254C22×C22⋊D53C2314yescomplemented
255C22×C22⋊D53C2314yescomplemented
256C2×D4×D53C2314yes—
257C2×D4×D53C2314yes—
258C2×D4×D53C2314yes—
259C2×D4×D53C2314yescomplemented
260C2×D4×D53C2314yescomplemented
261C2×D4×D53C2314yescomplemented
262C23×Dic53—44no—
263C23×Dic53C2311yescharacteristic
264C23×Dic53C2312yes—
265C23×Dic53C2311yescharacteristic
266C23×Dic53C2311yescharacteristic
267C23×Dic53C2312yes—
268C23×Dic53C2312yes—
269C23×Dic53C2312yes—
270C23×Dic53C2312yes—
271C23×Dic53C2312yes—
272C23×Dic53C2312yescomplemented
273C22×C4×D53C2312yescomplemented
274#13133216C2314yescomplemented
275#13133215C2314yescomplemented
276#13133213C2314yescomplemented
277#13133213C2314yescomplemented
278#13133213C2314yescomplemented
279#13133213C2314yescomplemented
280#13133213C2314yescomplemented
281#13133212C2314yescomplemented
282#13133212C2314yescomplemented
283#13133212C2314yescomplemented
284#13133212C2314yescomplemented
285#13133211C2314yescomplemented
286#13133211C2314yescomplemented
287#13133210C2314yescomplemented
288#13133210C2314yescomplemented
289#13133210C2314yescomplemented
290#13133210C2314yescomplemented
291#13133210C2314yescomplemented
292#13133210C2314yescomplemented
293#13133209C2314yescomplemented
294#13133208C2314yescomplemented
295#13133207C2314yescomplemented
296#13133207C2314yescomplemented
297#13133207C2314yescomplemented
298#13133207C2314yescomplemented
299#13133206C2314yescomplemented
300#13133205C2314yescomplemented
301#13133204C2314yescomplemented
302#13133204C2314yescomplemented
303#13133204C2314yescomplemented
304#13133203C2314yescomplemented
305#13133203C2314yescomplemented
306#13133203C2314yescomplemented
307#13133203C2314yescomplemented
308#13133203C2314yescomplemented
309#13133203C2314yescomplemented
310#13133203C2314yescomplemented
311#13133203C2314yescomplemented
312#13133202C2314yescomplemented
313#13133202C2314yescomplemented
314#13133202C2314yescomplemented
315#13133202C2314yescomplemented
316#13133201C2314yes—
317#13133201C2314yes—
318#13133201C2314yes—
319#13133201C2314yescomplemented
320#13133201C2314yescomplemented
321#13133201C2314yescomplemented
322#13133201C2314yescomplemented
323#13133201C2314yescomplemented
324#13133200C2314yes—
325#13133200C2314yescomplemented
326#13133200C2314yescomplemented
327#13133200C2314yescomplemented
328#13133200C2314yescomplemented
329#13133200C2314yescomplemented
330#13133199C2314yescomplemented
331#13133199C2314yescomplemented
332#13133199C2314yescomplemented
333#13133199C2314yescomplemented
334#13133199C2314yescomplemented
335#13133199C2314yescomplemented
336#13133199C2314yescomplemented
337#13133199C2314yescomplemented
338#13133198C2314yes—
339#13133198C2314yes—
340#13133198C2314yes—
341#13133198C2314yescomplemented
342#13133198C2314yescomplemented
343#13133198C2314yescomplemented
344#13133198C2314yescomplemented
345#13133198C2314yescomplemented
346#13133198C2314yescomplemented
347#13133198C2314yescomplemented
348#13133198C2314yescomplemented
349#13133197C2314yescomplemented
350#13133196C2312yes—
351#13133196C2312yes—
352#13133196C2314yescomplemented
353#13133196C2314yescomplemented
354#13133196C2314yescomplemented
355#13133195C2314yescomplemented
356#13133195C2314yescomplemented
357#13133195C2314yescomplemented
358#13133195C2314yescomplemented
359#13133194C2314yes—
360#13133194C2314yes—
361#13133194C2314yes—
362#13133194C2314yes—
363#13133194C2314yes—
364#13133194C2314yes—
365#13133194C2314yescomplemented
366#13133194C2314yescomplemented
367#13133194C2314yescomplemented
368#13133194C2314yescomplemented
369#13133194C2314yescomplemented
370#13133194C2314yescomplemented
371#13133194C2314yescomplemented
372#13133194C2314yescomplemented
373#13133193C2314yescomplemented
374#13133193C2314yescomplemented
375#13133192C2314yescomplemented
376#13133191C2312yes—
377#13133191C2312yes—
378#13133191C2314yescomplemented
379#13133191C2314yescomplemented
380#13133191C2314yescomplemented
381#13133191C2314yescomplemented
382#13133191C2314yescomplemented
383#13133190C2314yescomplemented
384#13133190C2314yescomplemented
385#13133190C2314yescomplemented
386#13133190C2314yescomplemented
387#13133190C2314yescomplemented
388#13133190C2314yescomplemented
389#13133190C2314yescomplemented
390#13133190C2314yescomplemented
391#13133190C2314yescomplemented
392#13133190C2314yescomplemented
393#13133189C2314yes—
394#13133189C2314yes—
395#13133189C2314yes—
396#13133189C2314yes—
397#13133189C2314yes—
398#13133189C2314yes—
399#13133189C2314yes—
400#13133189C2314yes—
401#13133189C2314yes—
402#13133189C2314yes—
403#13133189C2314yes—
404#13133189C2314yes—
405#13133189C2314yes—
406#13133189C2314yes—
407#13133189C2314yes—
408#13133189C2314yes—
409#13133189C2314yes—
410#13133189C2314yes—
411#13133189C2314yes—
412#13133189C2314yes—
413#13133189C2314yes—
414#13133189C2314yes—
415#13133189C2314yescomplemented
416#13133189C2314yescomplemented
417#13133189C2314yescomplemented
418#13133189C2314yescomplemented
419#13133189C2314yescomplemented
420#13133189C2314yescomplemented
421#13133189C2314yescomplemented
422#13133189C2314yescomplemented
423#13133189C2314yescomplemented
424#13133189C2314yescomplemented
425#13133189C2314yescomplemented
426#13133189C2314yescomplemented
427#13133189C2314yescomplemented
428#13133189C2314yescomplemented
429#13133189C2314yescomplemented
430#13133189C2314yescomplemented
431#13133189C2314yescomplemented
432#13133189C2314yescomplemented
433#13133189C2314yescomplemented
434#13133189C2314yescomplemented
435#13133188C2314yescomplemented
436#13133188C2314yescomplemented
437#13133188C2314yescomplemented
438#13133188C2314yescomplemented
439#13133188C2314yescomplemented
440#13133188C2314yescomplemented
441#13133188C2314yescomplemented
442#13133188C2314yescomplemented
443#13133187C2314yes—
444#13133187C2314yes—
445#13133187C2314yes—
446#13133187C2314yescomplemented
447#13133187C2314yescomplemented
448#13133187C2314yescomplemented
449#13133186C2314yes—
450#13133186C2314yes—
451#13133186C2314yes—
452#13133186C2314yes—
453#13133186C2314yes—
454#13133186C2314yes—
455#13133186C2314yes—
456#13133186C2314yescomplemented
457#13133186C2314yescomplemented
458#13133186C2314yescomplemented
459#13133185C2314yes—
460#13133185C2314yes—
461#13133185C2314yes—
462#13133185C2314yescomplemented
463#13133185C2314yescomplemented
464#13133185C2314yescomplemented
465#13133185C2314yescomplemented
466#13133185C2314yescomplemented
467#13133185C2314yescomplemented
468#13133185C2314yescomplemented
469#13133185C2314yescomplemented
470C4×Dic106C2314yescomplemented
471#13133182C2314yescomplemented
472C4×D212C2314yescomplemented
473D4×Dic53C2314yes—
474D4×Dic53C2314yes—
475D4×Dic53C2314yes—
476D4×Dic53C2314yes—
477D4×Dic53C2314yes—
478D4×Dic53C2314yes—
479D4×Dic53C2314yescomplemented
480D4×Dic53C2314yescomplemented
481D4×Dic53C2314yescomplemented
482D4×Dic53C2314yescomplemented
483D4×Dic53C2314yescomplemented
484D4×Dic53C2314yescomplemented
485D4×Dic53C2314yescomplemented
486D4×Dic53C2314yescomplemented
487#13133179C2314yescomplemented
488C4×C22⋊D53C2314yes—
489C4×C22⋊D53C2314yes—
490C4×C22⋊D53C2314yescomplemented
491C4×C22⋊D53C2314yescomplemented
492C4×C22⋊D53C2314yescomplemented
493C4×C22⋊D53C2314yescomplemented
494C4×C22⋊D53C2314yescomplemented
495C4×C22⋊D53C2314yescomplemented
496C4×C22⋊D53C2314yescomplemented
497C4×C22⋊D53C2314yescomplemented
498#13133177C2314yes—
499#13133177C2314yes—
500#13133177C2314yes—
501#13133177C2314yes—
502#13133177C2314yes—
503#13133177C2314yes—
504#13133177C2314yescomplemented
505#13133177C2314yescomplemented
506#13133177C2314yescomplemented
507#13133177C2314yescomplemented
508#13133177C2314yescomplemented
509#13133177C2314yescomplemented
510#13133177C2314yescomplemented
511#13133177C2314yescomplemented
512#13133177C2314yescomplemented
513#13133177C2314yescomplemented
514#13133176C2312yes—
515#13133176C2314yescomplemented
516#13133175C2314yescomplemented
517#13133174C2314yescomplemented
518#13133174C2314yescomplemented
519#13133173C2314yes—
520#13133173C2314yes—
521#13133173C2314yes—
522#13133173C2314yescomplemented
523#13133173C2314yescomplemented
524#13133173C2314yescomplemented
525#13133173C2314yescomplemented
526C2×C4⋊Dic53C2312yescomplemented
527C2×C4⋊Dic53C2312yescomplemented
528C2×#11719919C2312yes—
529C2×#11719919C2312yes—
530C2×#11719919C2314yes—
531C2×#11719919C2312yes—
532C2×#11719919C2312yes—
533C2×#11719919C2312yescomplemented
534C2×#11719919C2314yescomplemented
535C2×#11719919C2312yescomplemented
536C2×#11719919C2312yescomplemented
537C2×#11719919C2312yescomplemented
538C4⋊C4×D53C2314yescomplemented
539C2×C22⋊Dic53C2312yes—
540C2×C22⋊Dic53C2312yes—
541C2×C22⋊Dic53C2312yes—
542C2×C22⋊Dic53C2312yes—
543C2×C22⋊Dic53C2312yes—
544C2×C22⋊Dic53C2314yes—
545C2×C22⋊Dic53C2312yes—
546C2×C22⋊Dic53C2312yes—
547C2×C22⋊Dic53C2312yes—
548C2×C22⋊Dic53C2312yes—
549C2×C22⋊Dic53C2312yes—
550C2×C22⋊Dic53C2314yescomplemented
551C2×C22⋊Dic53C2312yescomplemented
552C2×C22⋊Dic53C2312yescomplemented
553C2×#11719921C2312yes—
554C2×#11719921C2314yes—
555C2×#11719921C2312yes—
556C2×#11719921C2312yes—
557C2×#11719921C2312yes—
558C2×#11719921C2312yescomplemented
559C2×#11719921C2314yescomplemented
560C2×#11719921C2312yescomplemented
561C22⋊C4×D53C2314yes—
562C22⋊C4×D53C2314yes—
563C22⋊C4×D53C2314yes—
564C22⋊C4×D53C2314yescomplemented
565C22⋊C4×D53C2314yescomplemented
566C2×C4×Dic53C2312yescomplemented
567C2×C4×Dic53C2312yescomplemented
568C25×C53C2311yescharacteristic
569C25×C53C2311yescharacteristic
570H(5,𝔽2)×C53—44no—
571C2×#41×C53C2312yes—
572C2×#41×C53C2314yescomplemented
573C22×D4×C53—44no—
574C22×D4×C53C2311yescharacteristic
575C22×D4×C53C2312yes—
576C22×D4×C53C2311yescharacteristic
577C22×D4×C53C2312yes—
578C22×D4×C53C2312yes—
579C22×D4×C53C2314yes—
580C22×D4×C53C2314yes—
581C22×D4×C53C2312yes—
582C22×D4×C53C2312yes—
583C22×D4×C53C2312yes—
584C22×D4×C53C2311yescharacteristic
585C22×D4×C53C2311yescharacteristic
586C22×D4×C53C2314yescomplemented
587C23×C4×C53C2311yescharacteristic
588#127×C53C2314yescomplemented
589#124×C53C2314yescomplemented
590#123×C53C2314yes—
591#123×C53C2314yescomplemented
592#123×C53C2314yescomplemented
593C22⋊Q8×C53C2312yes—
594C22⋊Q8×C53C2312yes—
595#121×C53C2312yes—
596#121×C53C2312yes—
597#121×C53C2314yescomplemented
598#121×C53C2314yescomplemented
599#121×C53C2314yescomplemented
600#121×C53C2314yescomplemented
601#121×C53C2314yescomplemented
602#121×C53C2314yescomplemented
603#120×C53C2314yes—
604#120×C53C2314yes—
605#120×C53C2314yes—
606#120×C53C2314yes—
607#120×C53C2314yes—
608#120×C53C2314yes—
609#120×C53C2314yes—
610#120×C53C2314yescomplemented
611#120×C53C2314yescomplemented
612C4×D4×C53C2314yes—
613C4×D4×C53C2314yes—
614C4×D4×C53C2314yescomplemented
615C4×D4×C53C2314yescomplemented
616#117×C53C2312yes—
617C2×C22⋊C4×C53C2312yes—
618C2×C22⋊C4×C53C2312yes—
619C2×C22⋊C4×C53C2312yes—
620C2×C22⋊C4×C53C2312yes—
621C2×C22⋊C4×C53C2312yes—
622C2×C22⋊C4×C53C2312yes—
623C24×C53—24no—
624C24×C53—42no—
625C24×C53—42no—
626C24×C53—42no—
627C24×C53—42no—
628C24×C53—42no—
629C24×C53C2411yescharacteristic
630C24×C53C2412yes—
631C24×C53C2412yes—
632C24×C53C2411yescharacteristic
633C24×C53C2412yes—
634C24×C53C2412yes—
635C24×C53C2411yescharacteristic
636C24×C53C2411yescharacteristic
637C24×C53C2412yes—
638C24×C53C2412yes—
639C24×C53C2411yescharacteristic
640C23×D53—42no—
641C23×D53—42no—
642C23×D53—42no—
643C23×D53C2412yes—
644C23×D53C2412yes—
645C23×D53C2412yes—
646C23×D53C2412yes—
647C23×D53C2412yes—
648C23×D53C2414yes—
649#41×C53—44no—
650#41×C53—48no—
651C2×Q8×C53C2412yes—
652C2×D4×C53—24no—
653C2×D4×C53—24no—
654C2×D4×C53—28no—
655C2×D4×C53—42no—
656C2×D4×C53—42no—
657C2×D4×C53—48no—
658C2×D4×C53—48no—
659C2×D4×C53—44no—
660C2×D4×C53—44no—
661C2×D4×C53—44no—
662C2×D4×C53—44no—
663C2×D4×C53—44no—
664C2×D4×C53—48no—
665C2×D4×C53C2414yes—
666C2×D4×C53C2414yes—
667C2×D4×C53C2414yes—
668C2×D4×C53C2414yes—
669C2×D4×C53C2414yes—
670C2×D4×C53C2414yes—
671C2×D4×C53C2414yes—
672C2×D4×C53C2414yes—
673C2×D4×C53C2414yes—
674C2×D4×C53C2414yes—
675C2×D4×C53C2414yes—
676C2×D4×C53C2414yes—
677C2×D4×C53C2412yes—
678C2×D4×C53C2414yes—
679C22×C4×C53—42no—
680C22×C4×C53C2412yes—
681C22×C4×C53C2411yescharacteristic
682C22×C4×C53C2411yescharacteristic
683C22×C4×C53C2412yes—
684C22×C4×C53C2412yes—
685C22×C4×C53C2412yes—
686C22×C4×C53C2412yes—
687C22×C4×C53C2412yes—
688C22×C4×C53C2412yes—
689C22×C4×C53C2412yes—
690C22×C4×C53C2414yes—
691C2×C22⋊D53—28no—
692C2×C22⋊D53—28no—
693C2×C22⋊D53—28no—
694C2×C22⋊D53—44no—
695C2×C22⋊D53—48no—
696C2×C22⋊D53—44no—
697C2×C22⋊D53—44no—
698C2×C22⋊D53—48no—
699C2×C22⋊D53—44no—
700C2×C22⋊D53—44no—
701C2×C22⋊D53—48no—
702C2×C22⋊D53—48no—
703C2×C22⋊D53—44no—
704C2×C22⋊D53—44no—
705C2×C22⋊D53—44no—
706C2×C22⋊D53—44no—
707C2×C22⋊D53—44no—
708C2×C22⋊D53—48no—
709C2×C22⋊D53C2414yes—
710C2×C22⋊D53C2414yes—
711C2×C22⋊D53C2414yes—
712C2×C22⋊D53C2414yes—
713C2×C22⋊D53C2414yes—
714C2×C22⋊D53C2414yes—
715C2×C22⋊D53C2414yes—
716C2×C22⋊D53C2414yes—
717C2×C22⋊D53C2414yes—
718C2×C22⋊D53C2414yes—
719C2×C22⋊D53C2414yes—
720C2×C22⋊D53C2414yes—
721C2×C22⋊D53C2414yes—
722C2×C22⋊D53C2414yes—
723C2×C22⋊D53C2414yes—
724C2×C22⋊D53C2414yes—
725C2×C22⋊D53C2414yes—
726C2×C22⋊D53C2414yes—
727C2×C22⋊D53C2414yes—
728C2×C22⋊D53C2414yes—
729C2×C22⋊D53C2414yes—
730C2×C22⋊D53C2414yes—
731C2×C22⋊D53C2414yes—
732C22×Dic53—24no—
733C22×Dic53—28no—
734C22×Dic53—44no—
735C22×Dic53—44no—
736C22×Dic53—44no—
737C22×Dic53—44no—
738C22×Dic53—44no—
739C22×Dic53—42no—
740C22×Dic53—44no—
741C22×Dic53—42no—
742C22×Dic53C2412yes—
743C22×Dic53C2412yes—
744C22×Dic53C2412yes—
745C22×Dic53C2412yes—
746C22×Dic53C2412yes—
747C22×Dic53C2412yes—
748C22×Dic53C2411yescharacteristic
749C22×Dic53C2412yes—
750C22×Dic53C2414yes—
751C22×Dic53C2412yes—
752C22×Dic53C2412yes—
753C22×Dic53C2412yes—
754C22×Dic53C2411yescharacteristic
755C22×Dic53C2412yes—
756C22×Dic53C2411yescharacteristic
757C22×Dic53C2412yes—
758C22×Dic53C2412yes—
759C22×Dic53C2414yes—
760C22×Dic53C2412yes—
761C22×Dic53C2412yes—
762C22×Dic53C2412yes—
763C22×Dic53C2412yes—
764C22×Dic53C2412yes—
765C22×Dic53C2412yes—
766C22×Dic53C2414yes—
767C22×Dic53C2412yes—
768C22×Dic53C2412yes—
769C22×Dic53C2411yescharacteristic
770#11719947—216no—
771#11719947—48no—
772#11719947—48no—
773#11719947—48no—
774#11719947—48no—
775#11719947—48no—
776#11719947—48no—
777#11719947—48no—
778D4×D53—48no—
779D4×D53—48no—
780D4×D53—48no—
781D4×D53—48no—
782D4×D53—48no—
783D4×D53—48no—
784#11719945—48no—
785#11719945—44no—
786#11719945—48no—
787C2×D212C2414yes—
788C2×D212C2414yes—
789C2×D212C2414yes—
790C2×D212C2412yes—
791C2×C4×D53—44no—
792C2×C4×D53C2414yes—
793C2×C4×D53C2414yes—
794C2×C4×D53C2414yes—
795C2×C4×D53C2414yes—
796C2×C4×D53C2414yes—
797C2×C4×D53C2414yes—
798C2×C4×D53C2414yes—
799C2×Dic106—44no—
800C2×Dic106C2414yes—
801C2×Dic106C2414yes—
802C2×Dic106C2414yes—
803C2×Dic106C2412yes—
804C4⋊C4×C53C2412yes—
805C4⋊C4×C53C2412yes—
806C4⋊C4×C53C2414yes—
807C4⋊C4×C53C2414yes—
808C22⋊C4×C53C2414yes—
809C22⋊C4×C53C2414yes—
810C22⋊C4×C53C2414yes—
811C22⋊C4×C53C2414yes—
812C22⋊C4×C53C2414yes—
813C22⋊C4×C53C2414yes—
814C22⋊C4×C53C2414yes—
815C22⋊C4×C53C2414yes—
816C22⋊C4×C53C2414yes—
817C22⋊C4×C53C2414yes—
818C22⋊C4×C53C2414yes—
819C42×C53C2414yes—
820C22⋊Dic53C2414yes—
821C22⋊Dic53C2414yes—
822C22⋊Dic53C2414yes—
823C22⋊Dic53C2414yes—
824C22⋊Dic53C2414yes—
825C22⋊Dic53C2414yes—
826C22⋊Dic53C2414yes—
827C22⋊Dic53C2414yes—
828C22⋊Dic53C2414yes—
829C22⋊Dic53C2414yes—
830C22⋊Dic53C2414yes—
831C22⋊Dic53C2414yes—
832C22⋊Dic53C2414yes—
833C22⋊Dic53C2414yes—
834C22⋊Dic53C2414yes—
835C22⋊Dic53C2414yes—
836C22⋊Dic53C2414yes—
837C22⋊Dic53C2414yes—
838C22⋊Dic53C2414yes—
839#11719921C2414yes—
840#11719921C2414yes—
841#11719921C2414yes—
842#11719921C2414yes—
843#11719921C2414yes—
844#11719921C2414yes—
845#11719921C2414yes—
846#11719921C2414yes—
847#11719921C2414yes—
848#11719921C2414yes—
849#11719921C2414yes—
850#11719921C2414yes—
851#11719921C2414yes—
852#11719921C2414yes—
853#11719921C2414yes—
854#11719921C2414yes—
855#11719921C2414yes—
856#11719921C2414yes—
857C4⋊Dic53C2414yes—
858C4⋊Dic53C2414yes—
859C4⋊Dic53C2414yes—
860C4⋊Dic53C2414yes—
861C4⋊Dic53C2414yes—
862C4⋊Dic53C2412yes—
863C4⋊Dic53C2412yes—
864C4⋊Dic53C2414yes—
865#11719919C2414yes—
866#11719919C2414yes—
867#11719919C2414yes—
868#11719919C2414yes—
869#11719919C2414yes—
870#11719919C2414yes—
871#11719919C2414yes—
872#11719919C2414yes—
873#11719919C2414yes—
874#11719919C2414yes—
875#11719919C2414yes—
876#11719919C2414yes—
877#11719919C2414yes—
878#11719919C2414yes—
879#11719919C2414yes—
880#11719919C2414yes—
881#11719919C2414yes—
882#11719919C2414yes—
883C4×Dic53C2414yes—
884C4×Dic53C2414yes—
885C4×Dic53C2414yes—
886C4×Dic53C2414yes—
887C4×Dic53C2414yes—
888C4×Dic53C2414yes—
889C4×Dic53C2414yes—
890C23×C53—22no—
891C23×C53—22no—
892C23×C53—22no—
893C23×C53—24no—
894C23×C53—24no—
895C23×C53—24no—
896C23×C53—22no—
897C23×C53—24no—
898C23×C53—24no—
899C23×C53—24no—
900C23×C53—22no—
901C23×C53—22no—
902C23×C53—24no—
903C23×C53—41no—
904C23×C53—42no—
905C23×C53—41no—
906C23×C53—41no—
907C23×C53—42no—
908C23×C53—41no—
909C23×C53—42no—
910C23×C53—41no—
911C23×C53—42no—
912C23×C53—41no—
913C23×C53—42no—
914C23×C53—42no—
915C23×C53—42no—
916C23×C53—41no—
917C23×C53—42no—
918C23×C53—41no—
919C23×C53—42no—
920C23×C53—42no—
921C23×C53—42no—
922C23×C53—416no—
923C23×C53—88no—
924C23×C53H(5,𝔽2)14yescomplemented
925C23×C53C2512yes—
926C23×C53C2514yes—
927C23×C53C2512yes—
928C23×C53C2512yes—
929C23×C53C2512yes—
930C23×C53C2511yescharacteristic
931C23×C53C2511yescharacteristic
932C23×C53C2511yescharacteristic
933C22×D53—24no—
934C22×D53—24no—
935C22×D53—24no—
936C22×D53—24no—
937C22×D53—42no—
938C22×D53—42no—
939C22×D53—42no—
940C22×D53—42no—
941C22×D53—42no—
942C22×D53—42no—
943C22×D53—42no—
944C22×D53—42no—
945C22×D53—42no—
946C22×D53—44no—
947C22×D53—42no—
948C22×D53—44no—
949C22×D53—44no—
950C22×D53—42no—
951C22×D53—88no—
952C22×D53C2514yes—
953C22×D53C2514yes—
954Q8×C53—42no—
955D4×C53—28no—
956D4×C53—28no—
957D4×C53—28no—
958D4×C53—28no—
959D4×C53—28no—
960D4×C53—28no—
961D4×C53—44no—
962D4×C53—44no—
963D4×C53—44no—
964D4×C53—44no—
965D4×C53—44no—
966D4×C53—42no—
967D4×C53—44no—
968D4×C53—44no—
969C2×C4×C53—22no—
970C2×C4×C53—24no—
971C2×C4×C53—22no—
972C2×C4×C53—42no—
973C2×C4×C53—42no—
974C2×C4×C53—42no—
975C2×C4×C53—42no—
976C2×C4×C53—42no—
977C2×C4×C53—42no—
978C2×C4×C53—42no—
979C2×C4×C53—44no—
980C2×C4×C53C2514yes—
981C2×C4×C53C2512yes—
982C2×C4×C53C2514yes—
983C2×C4×C53C2514yes—
984C2×C4×C53C2512yes—
985C22⋊D53—28no—
986C22⋊D53—28no—
987C22⋊D53—28no—
988C22⋊D53—28no—
989C22⋊D53—28no—
990C22⋊D53—28no—
991C22⋊D53—28no—
992C22⋊D53—28no—
993C22⋊D53—28no—
994C22⋊D53—44no—
995C22⋊D53—44no—
996C22⋊D53—44no—
997C22⋊D53—44no—
998C22⋊D53—44no—
999C22⋊D53—44no—
1000C22⋊D53—44no—
1001C22⋊D53—44no—
1002C22⋊D53—44no—
1003C22⋊D53—44no—
1004C22⋊D53—44no—
1005C22⋊D53—44no—
1006C22⋊D53—44no—
1007C22⋊D53—44no—
1008C2×Dic53—24no—
1009C2×Dic53—24no—
1010C2×Dic53—24no—
1011C2×Dic53—22no—
1012C2×Dic53—24no—
1013C2×Dic53—24no—
1014C2×Dic53—28no—
1015C2×Dic53—24no—
1016C2×Dic53—24no—
1017C2×Dic53—24no—
1018C2×Dic53—24no—
1019C2×Dic53—42no—
1020C2×Dic53—44no—
1021C2×Dic53—42no—
1022C2×Dic53—42no—
1023C2×Dic53—44no—
1024C2×Dic53—41no—
1025C2×Dic53—42no—
1026C2×Dic53—42no—
1027C2×Dic53—42no—
1028C2×Dic53—41no—
1029C2×Dic53—42no—
1030C2×Dic53—42no—
1031C2×Dic53—42no—
1032C2×Dic53—42no—
1033C2×Dic53—42no—
1034C2×Dic53—42no—
1035C2×Dic53H(5,𝔽2)14yescomplemented
1036C2×Dic53C2514yes—
1037C2×Dic53C2514yes—
1038C2×Dic53C2512yes—
1039C2×Dic53C2514yes—
1040C2×Dic53C2512yes—
1041C2×Dic53C2514yes—
1042C2×Dic53C2512yes—
1043C2×Dic53C2512yes—
1044D212—44no—
1045D212—42no—
1046D212—44no—
1047D212—44no—
1048C4×D53—28no—
1049C4×D53—44no—
1050C4×D53—44no—
1051C4×D53—44no—
1052C4×D53—44no—
1053C4×D53—44no—
1054C4×D53—44no—
1055Dic106—28no—
1056Dic106—44no—
1057Dic106—42no—
1058Dic106—44no—
1059#62818—531nomaximal, Sylow
1060C22×C53—28no—
1061C22×C53—22no—
1062C22×C53—21no—
1063C22×C53—21no—
1064C22×C53—21no—
1065C22×C53—21no—
1066C22×C53—22no—
1067C22×C53—21no—
1068C22×C53—21no—
1069C22×C53—22no—
1070C22×C53—24no—
1071C22×C53—22no—
1072C22×C53—24no—
1073C22×C53—22no—
1074C22×C53—22no—
1075C22×C53—22no—
1076C22×C53—22no—
1077C22×C53—22no—
1078C22×C53—22no—
1079C22×C53—22no—
1080C22×C53—24no—
1081C22×C53—44no—
1082C22×C53—48no—
1083C22×C53—48no—
1084C22×C53—44no—
1085C22×C53—84no—
1086C22×C53—82no—
1087C22×C53—84no—
1088C22×C53—82no—
1089C22×C53—84no—
1090C22×C53—162no—
1091C22×C53C2×H(5,𝔽2)12yes—
1092C22×C53C2×H(5,𝔽2)12yes—
1093C22×C53C2×H(5,𝔽2)14yes—
1094C22×C53#58512yes—
1095C22×C53C2611yescharacteristic
1096C2×D53—24no—
1097C2×D53—24no—
1098C2×D53—24no—
1099C2×D53—24no—
1100C2×D53—24no—
1101C2×D53—24no—
1102C2×D53—84no—
1103C2×D53—84no—
1104C2×D53—84no—
1105C2×D53—84no—
1106C2×D53—164no—
1107C2×D53—162no—
1108C4×C53—24no—
1109C4×C53—22no—
1110C4×C53—24no—
1111C4×C53—22no—
1112C4×C53—24no—
1113Dic53—24no—
1114Dic53—24no—
1115Dic53—22no—
1116Dic53—24no—
1117Dic53—22no—
1118Dic53—22no—
1119Dic53—24no—
1120Dic53C2×H(5,𝔽2)14yes—
1121#3542—534no—
1122#3542—534no—
1123#3537—534no—
1124#3536—534no—
1125#3534—534no—
1126#3534—534no—
1127#3519—534no—
1128#3519—534no—
1129#3505—532no—
1130#3505—532no—
1131#3496—532no—
1132#3496—532no—
1133#3494—534no—
1134#3492—532no—
1135#3490—532no—
1136#3490—532no—
1137#3488—534no—
1138#3484—531no—
1139#3484—532no—
1140#3484—532no—
1141#3484D5311yescharacteristic, complemented
1142C2×#525—532no—
1143C22×#121—531no—
1144C2×C53—22no—
1145C2×C53—22no—
1146C2×C53—22no—
1147C2×C53—24no—
1148C2×C53—42no—
1149C2×C53—44no—
1150C2×C53—42no—
1151C2×C53—42no—
1152C2×C53C22×H(5,𝔽2)11yescharacteristic
1153C2×C53C22×H(5,𝔽2)11yescharacteristic
1154C2×C53C2×#58511yescharacteristic
1155D53—44no—
1156D53—44no—
1157C2×H(5,𝔽2)—532no—
1158C2×H(5,𝔽2)—531no—
1159C2×H(5,𝔽2)—532no—
1160C2×H(5,𝔽2)C2×D5311yescharacteristic, complemented
1161C22×#41—532no—
1162C23×D4—531no—
1163C23×D4—531no—
1164C23×D4C2×D5311yescharacteristic, complemented
1165C24×C4—531no—
1166#562—534no—
1167#562—534no—
1168#562—534no—
1169#562—534no—
1170#560—534no—
1171#560—534no—
1172#560—534no—
1173#560—534no—
1174#555—534no—
1175#555—534no—
1176#554—534no—
1177#554—534no—
1178#553—534no—
1179#553—534no—
1180#553—534no—
1181#553—534no—
1182#553—534no—
1183#553—534no—
1184#553—534no—
1185#553—534no—
1186#553—534no—
1187#553—534no—
1188#552—534no—
1189#552—534no—
1190#551—534no—
1191#551—534no—
1192#551—534no—
1193#551—534no—
1194#551—534no—
1195#551—534no—
1196#551—534no—
1197#551—534no—
1198#550—534no—
1199#550—534no—
1200#548—534no—
1201#548—534no—
1202#547—534no—
1203#547—534no—
1204#547—534no—
1205#547—534no—
1206#546—534no—
1207#546—534no—
1208#546—534no—
1209#546—534no—
1210#546—534no—
1211#546—534no—
1212#546—534no—
1213#546—534no—
1214#546—534no—
1215#546—534no—
1216#546—534no—
1217#546—534no—
1218#546—534no—
1219#546—534no—
1220#546—534no—
1221#546—534no—
1222#546—534no—
1223#546—534no—
1224#546—534no—
1225#546—534no—
1226#546—534no—
1227#546—534no—
1228#546—534no—
1229#546—534no—
1230#546C2×D5314yescomplemented
1231#546C2×D5314yescomplemented
1232D42—534no—
1233D42—534no—
1234D42—534no—
1235D42—534no—
1236D42—534no—
1237D42—534no—
1238D42—534no—
1239D42—534no—
1240D42—534no—
1241D42—534no—
1242D42—534no—
1243D42—534no—
1244D42C2×D5314yescomplemented
1245D42C2×D5314yescomplemented
1246#544—532no—
1247#543—532no—
1248#543—532no—
1249#542—534no—
1250#542—534no—
1251#540—534no—
1252#540—534no—
1253#540—534no—
1254#540—534no—
1255#540—534no—
1256#540—534no—
1257#539—534no—
1258#539—532no—
1259#539—532no—
1260#539—534no—
1261#539—534no—
1262#538—534no—
1263#538—532no—
1264#538—532no—
1265#538—534no—
1266#538—534no—
1267#538—534no—
1268#538—534no—
1269#538—534no—
1270#538—534no—
1271#538—534no—
1272#538—534no—
1273#537—534no—
1274#537—532no—
1275#537—534no—
1276#537—534no—
1277#537—534no—
1278#535—532no—
1279#535—534no—
1280#535—534no—
1281#535—534no—
1282#535—534no—
1283#535C2×D5312yescomplemented
1284#534—532no—
1285#534—532no—
1286#534—532no—
1287#534—532no—
1288#534—532no—
1289#534—534no—
1290#534—532no—
1291#534—534no—
1292#534—534no—
1293#534—534no—
1294#534—532no—
1295#534—532no—
1296#534C2×D5312yescomplemented
1297#534C2×D5312yescomplemented
1298#532—534no—
1299#532—534no—
1300#529—534no—
1301#529—534no—
1302#525—532no—
1303#525—534no—
1304#525—534no—
1305#525—534no—
1306#525—534no—
1307#525—534no—
1308#525—534no—
1309#525—534no—
1310#525—534no—
1311#525—534no—
1312#525—534no—
1313#525—534no—
1314#525C2×D5312yescomplemented
1315C2×#123—532no—
1316C2×#123—532no—
1317C2×C22⋊Q8—532no—
1318C2×C22⋊Q8—532no—
1319C2×#121—534no—
1320C2×#121—532no—
1321C2×#121—532no—
1322C2×#121—534no—
1323C2×#121—534no—
1324C2×#121—534no—
1325C2×#121—532no—
1326C2×#121—532no—
1327C2×#121—532no—
1328C2×#121—532no—
1329C2×#121—534no—
1330C2×#121—534no—
1331C2×#120—532no—
1332C2×#120—532no—
1333C2×#120—534no—
1334C2×#120C2×D5312yescomplemented
1335C2×#120C2×D5312yescomplemented
1336#520—534no—
1337#518—531no—
1338#518—532no—
1339#518—534no—
1340#518—532no—
1341#518—532no—
1342#518—532no—
1343#518C2×D5311yescharacteristic, complemented
1344C2×C4×D4—532no—
1345C2×C4×D4—532no—
1346C2×C4×D4—532no—
1347C2×C4×D4—532no—
1348C2×#117—532no—
1349C22×C4⋊C4—531no—
1350C22×C22⋊C4—531no—
1351C22×C22⋊C4—531no—
1352C53#6281811yescharacteristic, complemented, Sylow
1353C25—531no—
1354C25C22×D5311yescharacteristic
1355C25C22×D5311yescharacteristic
1356H(5,𝔽2)—44no—
1357H(5,𝔽2)—2124no—
1358H(5,𝔽2)—2128no—
1359H(5,𝔽2)—2128no—
1360C2×#41—534no—
1361C2×#41—534no—
1362C2×#41—534no—
1363C2×#41—534no—
1364C2×#41—534no—
1365C2×#41—534no—
1366C2×#41—534no—
1367C2×#41—534no—
1368C2×#41—532no—
1369C2×#41—534no—
1370C2×#41—534no—
1371C2×#41—2128no—
1372C2×#41C22×D5312yes—
1373C2×#41C22×D5314yescomplemented
1374C22×Q8—532no—
1375C22×D4—44no—
1376C22×D4—532no—
1377C22×D4—532no—
1378C22×D4—532no—
1379C22×D4—532no—
1380C22×D4—532no—
1381C22×D4—532no—
1382C22×D4—532no—
1383C22×D4—532no—
1384C22×D4—532no—
1385C22×D4—532no—
1386C22×D4—532no—
1387C22×D4—532no—
1388C22×D4—534no—
1389C22×D4—532no—
1390C22×D4—534no—
1391C22×D4—534no—
1392C22×D4—534no—
1393C22×D4—534no—
1394C22×D4—534no—
1395C22×D4—534no—
1396C22×D4—534no—
1397C22×D4—534no—
1398C22×D4—534no—
1399C22×D4—534no—
1400C22×D4—2124no—
1401C22×D4—2124no—
1402C22×D4C22×D5312yes—
1403C22×D4C22×D5311yescharacteristic
1404C22×D4C22×D5311yescharacteristic
1405C22×D4C22×D5312yes—
1406C22×D4C22×D5312yes—
1407C22×D4C22×D5312yes—
1408C22×D4C22×D5312yes—
1409C22×D4C22×D5312yes—
1410C22×D4C22×D5311yescharacteristic
1411C22×D4C22×D5311yescharacteristic
1412C22×D4C22×D5314yes—
1413C22×D4C22×D5314yes—
1414C22×D4C22×D5314yescomplemented
1415C23×C4—531no—
1416C23×C4—532no—
1417C23×C4—531no—
1418C23×C4—531no—
1419C23×C4—532no—
1420C23×C4—532no—
1421C23×C4—532no—
1422C23×C4—532no—
1423C23×C4—532no—
1424C23×C4—532no—
1425C23×C4—532no—
1426C23×C4—2124no—
1427C23×C4C22×D5311yescharacteristic
1428C4⋊Q8—534no—
1429C4⋊Q8—534no—
1430#127—534no—
1431#127—534no—
1432#127—534no—
1433#127—534no—
1434#127—534no—
1435#127C22×D5314yescomplemented
1436#126—534no—
1437#126—534no—
1438#126—534no—
1439#126—534no—
1440#126—534no—
1441#126—534no—
1442#126—534no—
1443#126—534no—
1444#126—534no—
1445#126—534no—
1446#126—534no—
1447#126—534no—
1448#125—534no—
1449#125—534no—
1450#125—534no—
1451#125—534no—
1452#125—534no—
1453#125—534no—
1454#124—534no—
1455#124—534no—
1456#124—534no—
1457#124—534no—
1458#124—534no—
1459#124—534no—
1460#124—534no—
1461#124—534no—
1462#124—534no—
1463#124—534no—
1464#124—534no—
1465#124—534no—
1466#124—534no—
1467#124C22×D5314yescomplemented
1468#123—534no—
1469#123—534no—
1470#123—534no—
1471#123—534no—
1472#123—534no—
1473#123—534no—
1474#123—534no—
1475#123—534no—
1476#123—534no—
1477#123—534no—
1478#123—534no—
1479#123—534no—
1480#123—534no—
1481#123—534no—
1482#123—534no—
1483#123—534no—
1484#123—534no—
1485#123—534no—
1486#123—534no—
1487#123—534no—
1488#123—534no—
1489#123—534no—
1490#123—534no—
1491#123—534no—
1492#123—534no—
1493#123—534no—
1494#123—534no—
1495#123—534no—
1496#123—534no—
1497#123—534no—
1498#123—534no—
1499#123—534no—
1500#123—534no—
1501#123—534no—
1502#123—534no—
1503#123—534no—
1504#123—534no—
1505#123C22×D5314yes—
1506#123C22×D5314yescomplemented
1507#123C22×D5314yescomplemented
1508C22⋊Q8—534no—
1509C22⋊Q8—534no—
1510C22⋊Q8—532no—
1511C22⋊Q8—532no—
1512C22⋊Q8—534no—
1513C22⋊Q8—534no—
1514C22⋊Q8—534no—
1515C22⋊Q8—534no—
1516C22⋊Q8—534no—
1517C22⋊Q8—534no—
1518C22⋊Q8—534no—
1519C22⋊Q8—534no—
1520C22⋊Q8—534no—
1521C22⋊Q8—534no—
1522C22⋊Q8—534no—
1523C22⋊Q8—534no—
1524C22⋊Q8—534no—
1525C22⋊Q8—534no—
1526C22⋊Q8—534no—
1527C22⋊Q8—534no—
1528C22⋊Q8—534no—
1529C22⋊Q8—534no—
1530C22⋊Q8—534no—
1531C22⋊Q8—534no—
1532C22⋊Q8—534no—
1533C22⋊Q8—534no—
1534C22⋊Q8C22×D5312yes—
1535C22⋊Q8C22×D5312yes—
1536#121—534no—
1537#121—534no—
1538#121—534no—
1539#121—534no—
1540#121—534no—
1541#121—534no—
1542#121—534no—
1543#121—534no—
1544#121—534no—
1545#121—534no—
1546#121—534no—
1547#121—534no—
1548#121—534no—
1549#121—534no—
1550#121—534no—
1551#121—534no—
1552#121—534no—
1553#121—534no—
1554#121—534no—
1555#121—534no—
1556#121—534no—
1557#121—534no—
1558#121—534no—
1559#121—534no—
1560#121—534no—
1561#121—534no—
1562#121—534no—
1563#121—534no—
1564#121—534no—
1565#121—534no—
1566#121—534no—
1567#121—534no—
1568#121—534no—
1569#121—534no—
1570#121—534no—
1571#121—534no—
1572#121—534no—
1573#121—534no—
1574#121—534no—
1575#121—534no—
1576#121—534no—
1577#121—534no—
1578#121—534no—
1579#121—534no—
1580#121—534no—
1581#121—534no—
1582#121—534no—
1583#121—534no—
1584#121—534no—
1585#121—534no—
1586#121—534no—
1587#121—532no—
1588#121—532no—
1589#121—534no—
1590#121—534no—
1591#121—534no—
1592#121—534no—
1593#121—534no—
1594#121—534no—
1595#121—534no—
1596#121—534no—
1597#121—534no—
1598#121—534no—
1599#121—534no—
1600#121—534no—
1601#121—534no—
1602#121—534no—
1603#121—534no—
1604#121C22×D5312yes—
1605#121C22×D5312yes—
1606#121C22×D5314yescomplemented
1607#121C22×D5314yescomplemented
1608#121C22×D5314yescomplemented
1609#121C22×D5314yescomplemented
1610#121C22×D5314yescomplemented
1611#121C22×D5314yescomplemented
1612#120—534no—
1613#120—534no—
1614#120—534no—
1615#120—534no—
1616#120—534no—
1617#120—534no—
1618#120—534no—
1619#120—534no—
1620#120—534no—
1621#120—534no—
1622#120—534no—
1623#120—534no—
1624#120—534no—
1625#120—534no—
1626#120—534no—
1627#120—534no—
1628#120—534no—
1629#120—534no—
1630#120—534no—
1631#120—534no—
1632#120—534no—
1633#120—534no—
1634#120—534no—
1635#120—534no—
1636#120—534no—
1637#120—534no—
1638#120—534no—
1639#120C22×D5314yes—
1640#120C22×D5314yes—
1641#120C22×D5314yes—
1642#120C22×D5314yes—
1643#120C22×D5314yes—
1644#120C22×D5314yes—
1645#120C22×D5314yes—
1646#120C22×D5314yescomplemented
1647#120C22×D5314yescomplemented
1648C4×Q8—534no—
1649C4×Q8—534no—
1650C4×D4—534no—
1651C4×D4—534no—
1652C4×D4—534no—
1653C4×D4—534no—
1654C4×D4—534no—
1655C4×D4—534no—
1656C4×D4—534no—
1657C4×D4—534no—
1658C4×D4—534no—
1659C4×D4—534no—
1660C4×D4—534no—
1661C4×D4—534no—
1662C4×D4—534no—
1663C4×D4—534no—
1664C4×D4—534no—
1665C4×D4—534no—
1666C4×D4—534no—
1667C4×D4—534no—
1668C4×D4—534no—
1669C4×D4—534no—
1670C4×D4—534no—
1671C4×D4—534no—
1672C4×D4—534no—
1673C4×D4—534no—
1674C4×D4—534no—
1675C4×D4—534no—
1676C4×D4—534no—
1677C4×D4—534no—
1678C4×D4—534no—
1679C4×D4—534no—
1680C4×D4—534no—
1681C4×D4—534no—
1682C4×D4—534no—
1683C4×D4—534no—
1684C4×D4—534no—
1685C4×D4—534no—
1686C4×D4—534no—
1687C4×D4—534no—
1688C4×D4—534no—
1689C4×D4—534no—
1690C4×D4—534no—
1691C4×D4—534no—
1692C4×D4C22×D5314yes—
1693C4×D4C22×D5314yes—
1694C4×D4C22×D5314yescomplemented
1695C4×D4C22×D5314yescomplemented
1696#117—532no—
1697#117—534no—
1698#117—534no—
1699#117—534no—
1700#117—534no—
1701#117—534no—
1702#117—534no—
1703#117—534no—
1704#117—534no—
1705#117—534no—
1706#117—534no—
1707#117—534no—
1708#117C22×D5312yes—
1709C2×C4⋊C4—532no—
1710C2×C4⋊C4—532no—
1711C2×C4⋊C4—532no—
1712C2×C4⋊C4—532no—
1713C2×C4⋊C4—534no—
1714C2×C4⋊C4—532no—
1715C2×C4⋊C4—532no—
1716C2×C4⋊C4—532no—
1717C2×C4⋊C4—532no—
1718C2×C4⋊C4—532no—
1719C2×C4⋊C4—532no—
1720C2×C4⋊C4—534no—
1721C2×C4⋊C4—534no—
1722C2×C22⋊C4—532no—
1723C2×C22⋊C4—532no—
1724C2×C22⋊C4—534no—
1725C2×C22⋊C4—532no—
1726C2×C22⋊C4—532no—
1727C2×C22⋊C4—532no—
1728C2×C22⋊C4—532no—
1729C2×C22⋊C4—532no—
1730C2×C22⋊C4—532no—
1731C2×C22⋊C4—532no—
1732C2×C22⋊C4—532no—
1733C2×C22⋊C4—532no—
1734C2×C22⋊C4—532no—
1735C2×C22⋊C4—534no—
1736C2×C22⋊C4—532no—
1737C2×C22⋊C4—532no—
1738C2×C22⋊C4—534no—
1739C2×C22⋊C4—532no—
1740C2×C22⋊C4—532no—
1741C2×C22⋊C4—532no—
1742C2×C22⋊C4—532no—
1743C2×C22⋊C4—534no—
1744C2×C22⋊C4—534no—
1745C2×C22⋊C4—534no—
1746C2×C22⋊C4—534no—
1747C2×C22⋊C4—534no—
1748C2×C22⋊C4—534no—
1749C2×C22⋊C4C22×D5312yes—
1750C2×C22⋊C4C22×D5312yes—
1751C2×C22⋊C4C22×D5312yes—
1752C2×C22⋊C4C22×D5312yes—
1753C2×C22⋊C4C22×D5312yes—
1754C2×C22⋊C4C22×D5312yes—
1755C2×C42—532no—
1756C2×C42—532no—
1757C24—24no—
1758C24—42no—
1759C24—42no—
1760C24—42no—
1761C24—42no—
1762C24—42no—
1763C24—532no—
1764C24—532no—
1765C24—532no—
1766C24—532no—
1767C24—534no—
1768C24—532no—
1769C24—2122no—
1770C24—2122no—
1771C24—2122no—
1772C24C23×D5311yescharacteristic
1773C24C23×D5312yes—
1774C24C23×D5312yes—
1775C24C23×D5311yescharacteristic
1776C24C23×D5312yes—
1777C24C23×D5312yes—
1778C24C23×D5311yescharacteristic
1779C24C23×D5312yes—
1780C24C23×D5311yescharacteristic
1781C24C23×D5312yes—
1782C24C23×D5311yescharacteristic
1783#41—44no—
1784#41—48no—
1785#41—10616no—
1786#41—2124no—
1787#41—2128no—
1788#41—2128no—
1789#41—2128no—
1790#41—2128no—
1791#41—2128no—
1792#41—2128no—
1793#41—2128no—
1794#41—2128no—
1795#41—2128no—
1796C2×Q8—534no—
1797C2×Q8—534no—
1798C2×Q8—532no—
1799C2×Q8—534no—
1800C2×Q8—2124no—
1801C2×Q8C23×D5312yes—
1802C2×D4—24no—
1803C2×D4—24no—
1804C2×D4—28no—
1805C2×D4—42no—
1806C2×D4—42no—
1807C2×D4—48no—
1808C2×D4—48no—
1809C2×D4—44no—
1810C2×D4—44no—
1811C2×D4—44no—
1812C2×D4—44no—
1813C2×D4—44no—
1814C2×D4—48no—
1815C2×D4—534no—
1816C2×D4—534no—
1817C2×D4—534no—
1818C2×D4—534no—
1819C2×D4—534no—
1820C2×D4—534no—
1821C2×D4—534no—
1822C2×D4—534no—
1823C2×D4—534no—
1824C2×D4—534no—
1825C2×D4—534no—
1826C2×D4—534no—
1827C2×D4—534no—
1828C2×D4—534no—
1829C2×D4—534no—
1830C2×D4—534no—
1831C2×D4—534no—
1832C2×D4—534no—
1833C2×D4—534no—
1834C2×D4—534no—
1835C2×D4—534no—
1836C2×D4—534no—
1837C2×D4—534no—
1838C2×D4—534no—
1839C2×D4—534no—
1840C2×D4—534no—
1841C2×D4—532no—
1842C2×D4—1068no—
1843C2×D4—1068no—
1844C2×D4—1068no—
1845C2×D4—2128no—
1846C2×D4—2124no—
1847C2×D4—2128no—
1848C2×D4—2124no—
1849C2×D4—2124no—
1850C2×D4—2128no—
1851C2×D4—2124no—
1852C2×D4—2124no—
1853C2×D4—2128no—
1854C2×D4—2128no—
1855C2×D4—2128no—
1856C2×D4—2128no—
1857C2×D4—2128no—
1858C2×D4—2124no—
1859C2×D4—2124no—
1860C2×D4—2128no—
1861C2×D4—2128no—
1862C2×D4—2124no—
1863C2×D4—2124no—
1864C2×D4—2128no—
1865C2×D4—2124no—
1866C2×D4C23×D5314yes—
1867C2×D4C23×D5314yes—
1868C2×D4C23×D5314yes—
1869C2×D4C23×D5314yes—
1870C2×D4C23×D5314yes—
1871C2×D4C23×D5314yes—
1872C2×D4C23×D5314yes—
1873C2×D4C23×D5314yes—
1874C2×D4C23×D5312yes—
1875C2×D4C23×D5314yes—
1876C2×D4C23×D5314yes—
1877C2×D4C23×D5314yes—
1878C2×D4C23×D5314yes—
1879C2×D4C23×D5314yes—
1880C22×C4—42no—
1881C22×C4—531no—
1882C22×C4—532no—
1883C22×C4—532no—
1884C22×C4—532no—
1885C22×C4—532no—
1886C22×C4—532no—
1887C22×C4—532no—
1888C22×C4—532no—
1889C22×C4—531no—
1890C22×C4—534no—
1891C22×C4—532no—
1892C22×C4—532no—
1893C22×C4—532no—
1894C22×C4—531no—
1895C22×C4—532no—
1896C22×C4—531no—
1897C22×C4—532no—
1898C22×C4—532no—
1899C22×C4—532no—
1900C22×C4—532no—
1901C22×C4—532no—
1902C22×C4—532no—
1903C22×C4—534no—
1904C22×C4—532no—
1905C22×C4—532no—
1906C22×C4—534no—
1907C22×C4—532no—
1908C22×C4—532no—
1909C22×C4—534no—
1910C22×C4—534no—
1911C22×C4—534no—
1912C22×C4—534no—
1913C22×C4—534no—
1914C22×C4—534no—
1915C22×C4—534no—
1916C22×C4—1064no—
1917C22×C4—1068no—
1918C22×C4—2124no—
1919C22×C4—2124no—
1920C22×C4—2124no—
1921C22×C4—2124no—
1922C22×C4—2124no—
1923C22×C4—2124no—
1924C22×C4—2124no—
1925C22×C4—2122no—
1926C22×C4—2122no—
1927C22×C4C23×D5312yes—
1928C22×C4C23×D5311yescharacteristic
1929C22×C4C23×D5311yescharacteristic
1930C22×C4C23×D5312yes—
1931C22×C4C23×D5312yes—
1932C22×C4C23×D5312yes—
1933C22×C4C23×D5314yes—
1934C22×C4C23×D5312yes—
1935C22×C4C23×D5312yes—
1936C22×C4C23×D5312yes—
1937C22×C4C23×D5312yes—
1938C4⋊C4—534no—
1939C4⋊C4—534no—
1940C4⋊C4—534no—
1941C4⋊C4—534no—
1942C4⋊C4—534no—
1943C4⋊C4—534no—
1944C4⋊C4—534no—
1945C4⋊C4—534no—
1946C4⋊C4—534no—
1947C4⋊C4—534no—
1948C4⋊C4—534no—
1949C4⋊C4—534no—
1950C4⋊C4—534no—
1951C4⋊C4—534no—
1952C4⋊C4—534no—
1953C4⋊C4—534no—
1954C4⋊C4—534no—
1955C4⋊C4—534no—
1956C4⋊C4—534no—
1957C4⋊C4—534no—
1958C4⋊C4—532no—
1959C4⋊C4—534no—
1960C4⋊C4—532no—
1961C4⋊C4—534no—
1962C4⋊C4—534no—
1963C4⋊C4—534no—
1964C4⋊C4C23×D5314yes—
1965C4⋊C4C23×D5314yes—
1966C4⋊C4C23×D5312yes—
1967C4⋊C4C23×D5312yes—
1968C22⋊C4—534no—
1969C22⋊C4—534no—
1970C22⋊C4—534no—
1971C22⋊C4—534no—
1972C22⋊C4—534no—
1973C22⋊C4—534no—
1974C22⋊C4—534no—
1975C22⋊C4—534no—
1976C22⋊C4—534no—
1977C22⋊C4—534no—
1978C22⋊C4—534no—
1979C22⋊C4—534no—
1980C22⋊C4—534no—
1981C22⋊C4—534no—
1982C22⋊C4—534no—
1983C22⋊C4—534no—
1984C22⋊C4—534no—
1985C22⋊C4—534no—
1986C22⋊C4—534no—
1987C22⋊C4—534no—
1988C22⋊C4—534no—
1989C22⋊C4—534no—
1990C22⋊C4—534no—
1991C22⋊C4—534no—
1992C22⋊C4—534no—
1993C22⋊C4—534no—
1994C22⋊C4—534no—
1995C22⋊C4—534no—
1996C22⋊C4—534no—
1997C22⋊C4—534no—
1998C22⋊C4—534no—
1999C22⋊C4—534no—
2000C22⋊C4—534no—
2001C22⋊C4—534no—
2002C22⋊C4—534no—
2003C22⋊C4—534no—
2004C22⋊C4—534no—
2005C22⋊C4C23×D5314yes—
2006C22⋊C4C23×D5314yes—
2007C22⋊C4C23×D5314yes—
2008C22⋊C4C23×D5314yes—
2009C22⋊C4C23×D5314yes—
2010C22⋊C4C23×D5314yes—
2011C22⋊C4C23×D5314yes—
2012C22⋊C4C23×D5314yes—
2013C22⋊C4C23×D5314yes—
2014C22⋊C4C23×D5314yes—
2015C22⋊C4C23×D5314yes—
2016C42—534no—
2017C42—534no—
2018C42—534no—
2019C42—534no—
2020C42—534no—
2021C42—534no—
2022C42—534no—
2023C42C23×D5314yes—
2024C23—22no—
2025C23—22no—
2026C23—22no—
2027C23—24no—
2028C23—24no—
2029C23—24no—
2030C23—22no—
2031C23—24no—
2032C23—24no—
2033C23—22no—
2034C23—24no—
2035C23—22no—
2036C23—24no—
2037C23—41no—
2038C23—42no—
2039C23—41no—
2040C23—41no—
2041C23—42no—
2042C23—41no—
2043C23—42no—
2044C23—42no—
2045C23—42no—
2046C23—42no—
2047C23—41no—
2048C23—42no—
2049C23—41no—
2050C23—41no—
2051C23—42no—
2052C23—41no—
2053C23—42no—
2054C23—42no—
2055C23—42no—
2056C23—416no—
2057C23—88no—
2058C23—534no—
2059C23—534no—
2060C23—1064no—
2061C23—1064no—
2062C23—1064no—
2063C23—1064no—
2064C23—4248no—
2065C23—2124no—
2066C23—2122no—
2067C23—2124no—
2068C23—2122no—
2069C23—2122no—
2070C23—2124no—
2071C23—2122no—
2072C23—2122no—
2073C23—2122no—
2074C23—2122no—
2075C23—2122no—
2076C23—2122no—
2077C23—2122no—
2078C23—2122no—
2079C23#1313326214yescomplemented
2080C23C24×D5312yes—
2081C23C24×D5312yes—
2082C23C24×D5314yes—
2083C23C24×D5312yes—
2084C23C24×D5311yescharacteristic
2085C23C24×D5311yescharacteristic
2086C23C24×D5312yes—
2087C23C24×D5311yescharacteristic
2088Q8—42no—
2089Q8—1068no—
2090Q8—2124no—
2091Q8—2122no—
2092Q8—2124no—
2093D4—28no—
2094D4—28no—
2095D4—28no—
2096D4—28no—
2097D4—28no—
2098D4—28no—
2099D4—44no—
2100D4—44no—
2101D4—42no—
2102D4—44no—
2103D4—44no—
2104D4—44no—
2105D4—44no—
2106D4—44no—
2107D4—1068no—
2108D4—1068no—
2109D4—1068no—
2110D4—1068no—
2111D4—1068no—
2112D4—1068no—
2113D4—1068no—
2114D4—1068no—
2115D4—1068no—
2116D4—2124no—
2117D4—2124no—
2118D4—2122no—
2119D4—2124no—
2120D4—2124no—
2121D4—2124no—
2122D4—2124no—
2123D4—2124no—
2124D4—2124no—
2125D4—2124no—
2126D4—2124no—
2127D4—2124no—
2128D4—2124no—
2129D4—2124no—
2130D4—2124no—
2131D4—2124no—
2132D4—2124no—
2133D4—2124no—
2134C2×C4—22no—
2135C2×C4—22no—
2136C2×C4—24no—
2137C2×C4—42no—
2138C2×C4—42no—
2139C2×C4—42no—
2140C2×C4—42no—
2141C2×C4—42no—
2142C2×C4—44no—
2143C2×C4—42no—
2144C2×C4—42no—
2145C2×C4—534no—
2146C2×C4—532no—
2147C2×C4—534no—
2148C2×C4—532no—
2149C2×C4—534no—
2150C2×C4—534no—
2151C2×C4—534no—
2152C2×C4—532no—
2153C2×C4—532no—
2154C2×C4—1068no—
2155C2×C4—1064no—
2156C2×C4—1064no—
2157C2×C4—1064no—
2158C2×C4—1064no—
2159C2×C4—1064no—
2160C2×C4—1064no—
2161C2×C4—1068no—
2162C2×C4—1062no—
2163C2×C4—1064no—
2164C2×C4—1064no—
2165C2×C4—1064no—
2166C2×C4—2124no—
2167C2×C4—2124no—
2168C2×C4—2124no—
2169C2×C4—2124no—
2170C2×C4—2124no—
2171C2×C4—2124no—
2172C2×C4—2121no—
2173C2×C4—2122no—
2174C2×C4—2122no—
2175C2×C4—2122no—
2176C2×C4—2122no—
2177C2×C4—2122no—
2178C2×C4—2121no—
2179C2×C4—2122no—
2180C2×C4—2122no—
2181C2×C4—2122no—
2182C2×C4—2124no—
2183C2×C4—2122no—
2184C2×C4—2122no—
2185C2×C4—2122no—
2186C2×C4—2124no—
2187C2×C4—2122no—
2188C2×C4C24×D5314yes—
2189C2×C4C24×D5314yes—
2190C2×C4C24×D5312yes—
2191C2×C4C24×D5314yes—
2192C2×C4C24×D5312yes—
2193C22—28no—
2194C22—22no—
2195C22—21no—
2196C22—21no—
2197C22—21no—
2198C22—21no—
2199C22—22no—
2200C22—21no—
2201C22—21no—
2202C22—22no—
2203C22—22no—
2204C22—24no—
2205C22—22no—
2206C22—24no—
2207C22—22no—
2208C22—22no—
2209C22—22no—
2210C22—22no—
2211C22—22no—
2212C22—24no—
2213C22—22no—
2214C22—44no—
2215C22—48no—
2216C22—48no—
2217C22—44no—
2218C22—84no—
2219C22—82no—
2220C22—82no—
2221C22—84no—
2222C22—84no—
2223C22—162no—
2224C22—8482no—
2225C22—8484no—
2226C22—1064no—
2227C22—1064no—
2228C22—1064no—
2229C22—1064no—
2230C22—1064no—
2231C22—1064no—
2232C22—4244no—
2233C22—4244no—
2234C22—4244no—
2235C22—4244no—
2236C22H(5,𝔽2)×D5312yes—
2237C22C2×#1313326212yes—
2238C22C2×#1313326214yes—
2239C22#1681145812yes—
2240C22C25×D5311yescharacteristic
2241C4—24no—
2242C4—22no—
2243C4—22no—
2244C4—24no—
2245C4—24no—
2246C4—534no—
2247C4—1062no—
2248C4—1062no—
2249C4—1062no—
2250C4—1064no—
2251C4—1064no—
2252C4—1064no—
2253C4—1064no—
2254C2—22no—
2255C2—22no—
2256C2—22no—
2257C2—24no—
2258C2—42no—
2259C2—42no—
2260C2—42no—
2261C2—44no—
2262C2—2124no—
2263C2—2124no—
2264C2C2×H(5,𝔽2)×D5311yescharacteristic
2265C2C22×#1313326211yescharacteristic
2266C2C2×#1681145811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3484C2
hypercenter#3484D53
hypocenterC53#62818
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3484

Complements

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

NH ≅ G/Ntype
1. #20289026C2semidirect
2. #20289018C2semidirect
3. #20288945C2semidirect
4. #20288930C2semidirect
5. #20288901C2semidirect
6. #20288893C2semidirect
7. #20288736C2semidirect
8. #20288734C2semidirect
9. #20288552C2semidirect
10. #20288545C2semidirect
11. #20288476C2semidirect
12. #20288474C2semidirect
13. #20288437C2semidirect
14. #20288416C2semidirect
15. #20288402C2semidirect
16. #20288398C2semidirect
17. #20288375C2semidirect
18. #20288350C2semidirect
19. #20288344C2semidirect
20. #20288344C2semidirect
21. C2×#16811129C2semidirect
22. C22×#13133189C2semidirect
23. C53×#3484C2semidirect
24. C2×#13133262C22semidirect
25. C2×#13133262C22semidirect
26. C2×#13133262C22semidirect
27. C22×#11719947C22semidirect
28. C23×C22⋊D53C22semidirect
29. C23×C22⋊D53C22semidirect
30. C24×Dic53C22semidirect
31. #16811370C22semidirect
32. #16811368C22semidirect
33. #16811368C22semidirect
34. #16811367C22semidirect
35. #16811362C22semidirect
36. #16811361C22semidirect
37. #16811361C22semidirect
38. #16811360C22semidirect
39. #16811337C22semidirect
40. #16811335C22semidirect
41. #16811332C22semidirect
42. #16811327C22semidirect
43. #16811325C22semidirect
44. #16811322C22semidirect
45. #16811322C22semidirect
46. #16811322C22semidirect
47. #16811319C22semidirect
48. #16811318C22semidirect
49. #16811316C22semidirect
50. #16811316C22semidirect
51. #16811316C22semidirect
52. #16811316C22semidirect
53. #16811310C22semidirect
54. #16811306C22semidirect
55. #16811304C22semidirect
56. #16811304C22semidirect
57. #16811302C22semidirect
58. #16811300C22semidirect
59. #16811299C22semidirect
60. #16811299C22semidirect
61. #16811297C22semidirect
62. #16811296C22semidirect
63. #16811293C22semidirect
64. #16811291C22semidirect
65. #16811282C22semidirect
66. #16811279C22semidirect
67. #16811272C22semidirect
68. #16811272C22semidirect
69. #16811271C22semidirect
70. #16811271C22semidirect
71. #16811268C22semidirect
72. #16811267C22semidirect
73. #16811267C22semidirect
74. #16811267C22semidirect
75. #16811267C22semidirect
76. #16811267C22semidirect
77. #16811265C22semidirect
78. #16811265C22semidirect
79. #16811263C22semidirect
80. #16811263C22semidirect
81. #16811263C22semidirect
82. #16811263C22semidirect
83. #16811262C22semidirect
84. #16811262C22semidirect
85. #16811261C22semidirect
86. #16811261C22semidirect
87. #16811260C22semidirect
88. #16811260C22semidirect
89. #16811260C22semidirect
90. #16811260C22semidirect
91. #16811260C22semidirect
92. #16811260C22semidirect
93. #16811260C22semidirect
94. #16811260C22semidirect
95. D4×C22⋊D53C22semidirect
96. D4×C22⋊D53C22semidirect
97. D4×C22⋊D53C22semidirect
98. D4×C22⋊D53C22semidirect
99. D4×C22⋊D53C22semidirect
100. D4×C22⋊D53C22semidirect
101. D4×C22⋊D53C22semidirect
102. #16811255C22semidirect
103. #16811255C22semidirect
104. #16811255C22semidirect
105. #16811255C22semidirect
106. #16811255C22semidirect
107. #16811252C22semidirect
108. #16811249C22semidirect
109. #16811248C22semidirect
110. #16811241C22semidirect
111. #16811237C22semidirect
112. #16811227C22semidirect
113. #16811226C22semidirect
114. #16811225C22semidirect
115. #16811223C22semidirect
116. #16811223C22semidirect
117. #16811223C22semidirect
118. #16811222C22semidirect
119. #16811218C22semidirect
120. #16811217C22semidirect
121. #16811215C22semidirect
122. #16811215C22semidirect
123. #16811213C22semidirect
124. #16811210C22semidirect
125. #16811210C22semidirect
126. #16811208C22semidirect
127. #16811208C22semidirect
128. #16811208C22semidirect
129. #16811208C22semidirect
130. #16811207C22semidirect
131. #16811206C22semidirect
132. #16811206C22semidirect
133. #16811205C22semidirect
134. #16811202C22semidirect
135. #16811201C22semidirect
136. #16811200C22semidirect
137. #16811200C22semidirect
138. #16811200C22semidirect
139. #16811190C22semidirect
140. #16811188C22semidirect
141. #16811188C22semidirect
142. #16811188C22semidirect
143. #16811186C22semidirect
144. #16811185C22semidirect
145. #16811185C22semidirect
146. #16811183C22semidirect
147. #16811183C22semidirect
148. #16811182C22semidirect
149. #16811182C22semidirect
150. #16811182C22semidirect
151. #16811182C22semidirect
152. #16811182C22semidirect
153. #16811182C22semidirect
154. #16811181C22semidirect
155. #16811181C22semidirect
156. #16811169C22semidirect
157. #16811168C22semidirect
158. #16811153C22semidirect
159. #16811150C22semidirect
160. #16811134C22semidirect
161. #16811132C22semidirect
162. #16811129C22semidirect
163. #16811129C22semidirect
164. #16811129C22semidirect
165. #16811129C22semidirect
166. #16811129C22semidirect
167. #16811129C22semidirect
168. #16811129C22semidirect
169. #16811129C22semidirect
170. #16811129C22semidirect
171. #16811129C22semidirect
172. C2×#13133201C22semidirect
173. C2×#13133198C22semidirect
174. C2×#13133194C22semidirect
175. C2×#13133194C22semidirect
176. C2×#13133189C22semidirect
177. C2×#13133189C22semidirect
178. C2×#13133189C22semidirect
179. C2×#13133189C22semidirect
180. C2×#13133189C22semidirect
181. C2×#13133189C22semidirect
182. C2×#13133189C22semidirect
183. C2×#13133189C22semidirect
184. C2×#13133189C22semidirect
185. C2×#13133189C22semidirect
186. C2×#13133189C22semidirect
187. #121×D53C22semidirect
188. C2×#13133186C22semidirect
189. C2×#13133186C22semidirect
190. #120×D53C22semidirect
191. #16811102C22semidirect
192. #16811098C22semidirect
193. #16811098C22semidirect
194. #16811096C22semidirect
195. #16811096C22semidirect
196. #16811096C22semidirect
197. #16811095C22semidirect
198. C2×D4×Dic53C22semidirect
199. C2×D4×Dic53C22semidirect
200. C2×#13133177C22semidirect
201. C2×#13133177C22semidirect
202. C2×#13133173C22semidirect
203. C22×#11719919C22semidirect
204. C22×C22⋊Dic53C22semidirect
205. C22×#11719921C22semidirect
206. C2×H(5,𝔽2)×C53C22semidirect
207. C23×D4×C53C22semidirect
208. C53×#546C22semidirect
209. C53×#546C22semidirect
210. D42×C53C22semidirect
211. D42×C53C22semidirect
212. C53×#535C22semidirect
213. C53×#534C22semidirect
214. C53×#534C22semidirect
215. C53×#525C22semidirect
216. C2×#120×C53C22semidirect
217. C2×#120×C53C22semidirect
218. C53×#518C22semidirect
224. C2×#11719945C23semidirect
225. C2×#11719945C23semidirect
230. C2×#11719947C23semidirect
231. C2×#11719947C23semidirect
232. C2×#11719947C23semidirect
233. C2×#11719947C23semidirect
234. C2×#11719947C23semidirect
235. C22×Dic106C23semidirect
253. C22×C22⋊D53C23semidirect
254. C22×C22⋊D53C23semidirect
255. C22×C22⋊D53C23semidirect
259. C2×D4×D53C23semidirect
260. C2×D4×D53C23semidirect
261. C2×D4×D53C23semidirect
272. C23×Dic53C23semidirect
273. C22×C4×D53C23semidirect
274. #13133216C23semidirect
275. #13133215C23semidirect
276. #13133213C23semidirect
277. #13133213C23semidirect
278. #13133213C23semidirect
279. #13133213C23semidirect
280. #13133213C23semidirect
281. #13133212C23semidirect
282. #13133212C23semidirect
283. #13133212C23semidirect
284. #13133212C23semidirect
285. #13133211C23semidirect
286. #13133211C23semidirect
287. #13133210C23semidirect
288. #13133210C23semidirect
289. #13133210C23semidirect
290. #13133210C23semidirect
291. #13133210C23semidirect
292. #13133210C23semidirect
293. #13133209C23semidirect
294. #13133208C23semidirect
295. #13133207C23semidirect
296. #13133207C23semidirect
297. #13133207C23semidirect
298. #13133207C23semidirect
299. #13133206C23semidirect
300. #13133205C23semidirect
301. #13133204C23semidirect
302. #13133204C23semidirect
303. #13133204C23semidirect
304. #13133203C23semidirect
305. #13133203C23semidirect
306. #13133203C23semidirect
307. #13133203C23semidirect
308. #13133203C23semidirect
309. #13133203C23semidirect
310. #13133203C23semidirect
311. #13133203C23semidirect
312. #13133202C23semidirect
313. #13133202C23semidirect
314. #13133202C23semidirect
315. #13133202C23semidirect
319. #13133201C23semidirect
320. #13133201C23semidirect
321. #13133201C23semidirect
322. #13133201C23semidirect
323. #13133201C23semidirect
325. #13133200C23semidirect
326. #13133200C23semidirect
327. #13133200C23semidirect
328. #13133200C23semidirect
329. #13133200C23semidirect
330. #13133199C23semidirect
331. #13133199C23semidirect
332. #13133199C23semidirect
333. #13133199C23semidirect
334. #13133199C23semidirect
335. #13133199C23semidirect
336. #13133199C23semidirect
337. #13133199C23semidirect
341. #13133198C23semidirect
342. #13133198C23semidirect
343. #13133198C23semidirect
344. #13133198C23semidirect
345. #13133198C23semidirect
346. #13133198C23semidirect
347. #13133198C23semidirect
348. #13133198C23semidirect
349. #13133197C23semidirect
352. #13133196C23semidirect
353. #13133196C23semidirect
354. #13133196C23semidirect
355. #13133195C23semidirect
356. #13133195C23semidirect
357. #13133195C23semidirect
358. #13133195C23semidirect
365. #13133194C23semidirect
366. #13133194C23semidirect
367. #13133194C23semidirect
368. #13133194C23semidirect
369. #13133194C23semidirect
370. #13133194C23semidirect
371. #13133194C23semidirect
372. #13133194C23semidirect
373. #13133193C23semidirect
374. #13133193C23semidirect
375. #13133192C23semidirect
378. #13133191C23semidirect
379. #13133191C23semidirect
380. #13133191C23semidirect
381. #13133191C23semidirect
382. #13133191C23semidirect
383. #13133190C23semidirect
384. #13133190C23semidirect
385. #13133190C23semidirect
386. #13133190C23semidirect
387. #13133190C23semidirect
388. #13133190C23semidirect
389. #13133190C23semidirect
390. #13133190C23semidirect
391. #13133190C23semidirect
392. #13133190C23semidirect
415. #13133189C23semidirect
416. #13133189C23semidirect
417. #13133189C23semidirect
418. #13133189C23semidirect
419. #13133189C23semidirect
420. #13133189C23semidirect
421. #13133189C23semidirect
422. #13133189C23semidirect
423. #13133189C23semidirect
424. #13133189C23semidirect
425. #13133189C23semidirect
426. #13133189C23semidirect
427. #13133189C23semidirect
428. #13133189C23semidirect
429. #13133189C23semidirect
430. #13133189C23semidirect
431. #13133189C23semidirect
432. #13133189C23semidirect
433. #13133189C23semidirect
434. #13133189C23semidirect
435. #13133188C23semidirect
436. #13133188C23semidirect
437. #13133188C23semidirect
438. #13133188C23semidirect
439. #13133188C23semidirect
440. #13133188C23semidirect
441. #13133188C23semidirect
442. #13133188C23semidirect
446. #13133187C23semidirect
447. #13133187C23semidirect
448. #13133187C23semidirect
456. #13133186C23semidirect
457. #13133186C23semidirect
458. #13133186C23semidirect
462. #13133185C23semidirect
463. #13133185C23semidirect
464. #13133185C23semidirect
465. #13133185C23semidirect
466. #13133185C23semidirect
467. #13133185C23semidirect
468. #13133185C23semidirect
469. #13133185C23semidirect
470. C4×Dic106C23semidirect
471. #13133182C23semidirect
472. C4×D212C23semidirect
479. D4×Dic53C23semidirect
480. D4×Dic53C23semidirect
481. D4×Dic53C23semidirect
482. D4×Dic53C23semidirect
483. D4×Dic53C23semidirect
484. D4×Dic53C23semidirect
485. D4×Dic53C23semidirect
486. D4×Dic53C23semidirect
487. #13133179C23semidirect
490. C4×C22⋊D53C23semidirect
491. C4×C22⋊D53C23semidirect
492. C4×C22⋊D53C23semidirect
493. C4×C22⋊D53C23semidirect
494. C4×C22⋊D53C23semidirect
495. C4×C22⋊D53C23semidirect
496. C4×C22⋊D53C23semidirect
497. C4×C22⋊D53C23semidirect
504. #13133177C23semidirect
505. #13133177C23semidirect
506. #13133177C23semidirect
507. #13133177C23semidirect
508. #13133177C23semidirect
509. #13133177C23semidirect
510. #13133177C23semidirect
511. #13133177C23semidirect
512. #13133177C23semidirect
513. #13133177C23semidirect
515. #13133176C23semidirect
516. #13133175C23semidirect
517. #13133174C23semidirect
518. #13133174C23semidirect
522. #13133173C23semidirect
523. #13133173C23semidirect
524. #13133173C23semidirect
525. #13133173C23semidirect
526. C2×C4⋊Dic53C23semidirect
527. C2×C4⋊Dic53C23semidirect
533. C2×#11719919C23semidirect
534. C2×#11719919C23semidirect
535. C2×#11719919C23semidirect
536. C2×#11719919C23semidirect
537. C2×#11719919C23semidirect
538. C4⋊C4×D53C23semidirect
550. C2×C22⋊Dic53C23semidirect
551. C2×C22⋊Dic53C23semidirect
552. C2×C22⋊Dic53C23semidirect
558. C2×#11719921C23semidirect
559. C2×#11719921C23semidirect
560. C2×#11719921C23semidirect
564. C22⋊C4×D53C23semidirect
565. C22⋊C4×D53C23semidirect
566. C2×C4×Dic53C23semidirect
567. C2×C4×Dic53C23semidirect
572. C2×#41×C53C23semidirect
586. C22×D4×C53C23semidirect
588. #127×C53C23semidirect
589. #124×C53C23semidirect
591. #123×C53C23semidirect
592. #123×C53C23semidirect
597. #121×C53C23semidirect
598. #121×C53C23semidirect
599. #121×C53C23semidirect
600. #121×C53C23semidirect
601. #121×C53C23semidirect
602. #121×C53C23semidirect
610. #120×C53C23semidirect
611. #120×C53C23semidirect
614. C4×D4×C53C23semidirect
615. C4×D4×C53C23semidirect
924. C23×C53H(5,𝔽2)semidirect
1035. C2×Dic53H(5,𝔽2)semidirect
1141. #3484D53semidirect
1160. C2×H(5,𝔽2)C2×D53semidirect
1164. C23×D4C2×D53semidirect
1230. #546C2×D53semidirect
1231. #546C2×D53semidirect
1244. D42C2×D53semidirect
1245. D42C2×D53semidirect
1283. #535C2×D53semidirect
1296. #534C2×D53semidirect
1297. #534C2×D53semidirect
1314. #525C2×D53semidirect
1334. C2×#120C2×D53semidirect
1335. C2×#120C2×D53semidirect
1343. #518C2×D53semidirect
1352. C53#62818semidirect
1373. C2×#41C22×D53semidirect
1414. C22×D4C22×D53semidirect
1435. #127C22×D53semidirect
1467. #124C22×D53semidirect
1506. #123C22×D53semidirect
1507. #123C22×D53semidirect
1606. #121C22×D53semidirect
1607. #121C22×D53semidirect
1608. #121C22×D53semidirect
1609. #121C22×D53semidirect
1610. #121C22×D53semidirect
1611. #121C22×D53semidirect
1646. #120C22×D53semidirect
1647. #120C22×D53semidirect
1694. C4×D4C22×D53semidirect
1695. C4×D4C22×D53semidirect
2079. C23#13133262semidirect

Maximal subgroups

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

subgroupindex
#202890262
#202890182
#202889452
#202889302
#202889012
#202888932
#202887362
#202887342
#202885522
#202885452
#202884762
#202884742
#202884372
#202884162
#202884022
#202883982
#202883752
#202883502
#202883442
C2×#168111292
C22×#131331892
C53×#34842
#6281853