Finite Group Databasebeta

← #28293063

Subgroups — #28293063

Order 13568.

6518 conjugacy classes of subgroups.

The subgroup lattice has 1844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289356C214yesmaximal, complemented
2#20289348C214yesmaximal, complemented
3#20289204C212yesmaximal, complemented
4#20289199C212yesmaximal, complemented
5#20289105C212yesmaximal, complemented
6#20289100C212yesmaximal, complemented
7#20289013C214yesmaximal, complemented
8#20289009C214yesmaximal, complemented
9#20288733C212yesmaximal, complemented
10#20288727C212yesmaximal, complemented
11#20288709C214yesmaximal, complemented
12#20288705C214yesmaximal, complemented
13#20288696C212yesmaximal, complemented
14#20288692C212yesmaximal, complemented
15#20288632C212yesmaximal, complemented
16#20288628C212yesmaximal, complemented
17#20288628C211yesmaximal, characteristic, complemented
18#20288627C212yesmaximal, complemented
19#20288626C211yesmaximal, characteristic, complemented
20#20288599C212yesmaximal, complemented
21#20288594C212yesmaximal, complemented
22#20288538C212yesmaximal, complemented
23#20288527C211yesmaximal, characteristic, complemented
24#20288436C212yesmaximal, complemented
25#20288428C212yesmaximal, complemented
26#20288012C211yesmaximal, characteristic, complemented
27#20288008C211yesmaximal, characteristic, complemented
28C2×#16811178C211yesmaximal, characteristic, complemented
29C53×#3503C211yesmaximal, characteristic, complemented
30#16811377C2218yes—
31#16811372C2218yes—
32#16811369C2218yes—
33#16811369C2218yes—
34Q8×Dic106C2212yescomplemented
35#16811351C2212yescomplemented
36#16811350C2214yescomplemented
37#16811349C2214yescomplemented
38#16811348C2214yescomplemented
39#16811348C2214yescomplemented
40#16811347C2214yes—
41#16811347C2214yes—
42#16811347C2214yes—
43#16811347C2218yescomplemented
44#16811347C2214yescomplemented
45#16811347C2212yescomplemented
46#16811346C2214yes—
47#16811346C2212yescomplemented
48#16811345C2214yescomplemented
49#16811344C2214yes—
50#16811344C2218yescomplemented
51#16811341C2214yes—
52#16811339C2214yes—
53#16811339C2214yes—
54#16811339C2212yescomplemented
55#16811338C2214yes—
56#16811338C2212yescomplemented
57#16811336C2214yes—
58#16811334C2214yescomplemented
59#16811334C2212yescomplemented
60#16811333C2212yescomplemented
61#16811333C2212yescomplemented
62#16811331C2214yes—
63#16811331C2218yes—
64#16811329C2214yescomplemented
65#16811327C2218yes—
66#16811326C2214yes—
67#16811326C2214yes—
68#16811323C2214yes—
69#16811322C2218yes—
70#16811321C2214yes—
71#16811321C2214yes—
72#16811321C2214yescomplemented
73#16811319C2214yes—
74#16811319C2218yes—
75#16811317C2214yescomplemented
76#16811314C2214yes—
77#16811314C2214yes—
78#16811312C2214yescomplemented
79#16811311C2214yes—
80#16811311C2214yes—
81#16811308C2214yes—
82#16811308C2214yes—
83#16811308C2214yescomplemented
84#16811308C2214yescomplemented
85#16811307C2218yescomplemented
86#16811307C2214yescomplemented
87#16811305C2218yescomplemented
88Q8×D212C2212yescomplemented
89#16811286C2214yes—
90#16811285C2214yes—
91#16811284C2214yes—
92#16811284C2214yes—
93#16811284C2214yescomplemented
94#16811283C2214yescomplemented
95#16811282C2214yes—
96#16811278C2212yescomplemented
97#16811276C2214yes—
98#16811276C2212yescomplemented
99#16811275C2214yes—
100#16811253C2214yescomplemented
101#16811253C2214yescomplemented
102#16811251C2212yes—
103#16811250C2214yescomplemented
104#16811247C2218yes—
105#16811247C2214yes—
106#16811247C2214yescomplemented
107#16811247C2214yescomplemented
108#16811246C2218yes—
109#16811246C2218yescomplemented
110#16811246C2214yescomplemented
111#16811245C2214yes—
112#16811244C2214yescomplemented
113#16811243C2218yescomplemented
114#16811234C2214yes—
115#16811234C2218yescomplemented
116#16811234C2214yescomplemented
117#16811233C2214yescomplemented
118#16811232C2218yescomplemented
119#16811231C2214yes—
120#16811231C2214yescomplemented
121#16811224C2214yescomplemented
122#16811221C2218yes—
123#16811219C2218yes—
124#16811213C2218yes—
125#16811206C2218yes—
126#16811204C2214yes—
127#16811204C2212yes—
128#16811203C2214yes—
129#16811201C2212yes—
130#16811197C2214yes—
131#16811196C2214yes—
132#16811180C2212yescomplemented
133#16811178C2212yes—
134#16811178C2212yes—
135#16811178C2212yes—
136#16811178C2212yes—
137#16811178C2212yes—
138#16811178C2212yes—
139#16811178C2212yes—
140#16811178C2212yes—
141#16811178C2211yescharacteristic
142#16811178C2211yescharacteristic
143#16811178C2212yescomplemented
144#16811178C2214yescomplemented
145#16811178C2212yescomplemented
146#16811177C2211yescharacteristic
147#16811177C2211yescharacteristic
148#16811176C2211yescharacteristic
149#16811174C2211yescharacteristic
150#16811174C2211yescharacteristic
151#16811174C2212yescomplemented
152#16811173C2211yescharacteristic
153#16811173C2212yescomplemented
154#16811170C2211yescharacteristic
155#16811170C2211yescharacteristic
156#16811169C2211yescharacteristic
157C2×#13133217C2211yescharacteristic
158C4⋊Q8×D53C2212yescomplemented
159#16811160C2211yescharacteristic
160#16811160C2211yescharacteristic
161#16811160C2212yes—
162#16811160C2212yes—
163#16811160C2214yescomplemented
164#16811159C2212yes—
165#16811159C2212yes—
166#16811159C2218yes—
167#16811158C2212yes—
168#16811158C2212yes—
169#16811155C2211yescharacteristic
170#16811155C2211yescharacteristic
171#16811155C2214yescomplemented
172#16811153C2212yes—
173#16811153C2212yes—
174#16811153C2218yes—
175#16811151C2212yes—
176#16811151C2212yes—
177C2×#13133208C2212yes—
178#125×D53C2214yescomplemented
179#16811136C2212yes—
180#16811136C2212yes—
181#16811135C2211yescharacteristic
182#16811135C2212yes—
183#16811132C2212yes—
184#16811132C2212yes—
185#16811130C2211yescharacteristic
186C2×#13133197C2212yes—
187C2×#13133193C2212yes—
188#16811105C2214yescomplemented
189#16811104C2212yes—
190#16811104C2214yescomplemented
191#16811103C2212yes—
192#16811103C2212yes—
193#16811101C2214yescomplemented
194#16811099C2214yescomplemented
195C4×#11719949C2212yes—
196C4×#11719949C2212yes—
197C4×#11719945C2211yescharacteristic
198C4×#11719945C2212yes—
199C4×#11719945C2212yes—
200#16811091C2212yes—
201C2×Q8×Dic53C2212yes—
202C2×#13133182C2212yes—
203C2×#13133175C2212yes—
204C2×C42×D53C2211yescharacteristic
205Q82×C53C2212yescomplemented
206C53×#557C2212yescomplemented
207C53×#554C2214yes—
208C53×#554C2212yescomplemented
209D4×Q8×C53C2214yes—
210D4×Q8×C53C2212yescomplemented
211C53×#544C2212yes—
212C53×#544C2214yescomplemented
213C53×#533C2211yescharacteristic
214C53×#533C2212yescomplemented
215C2×C4⋊Q8×C53C2211yescharacteristic
216C2×C4⋊Q8×C53C2212yescomplemented
217C53×#520C2212yes—
218C4×#41×C53C2211yescharacteristic
219C2×#11719949C2312yes—
220C2×#11719949C2312yes—
221C2×#11719949C2314yes—
222C2×#11719945C2312yes—
223C2×#11719945C2311yescharacteristic
224C2×#11719945C2314yes—
225C2×#11719945C2312yes—
226C2×#11719945C2312yes—
227C22×Dic106C2312yes—
228C2×Q8×D53C2314yes—
229C22×C4×D53C2311yescharacteristic
230C22×C4×D53C2311yescharacteristic
231C22×C4×D53C2311yescharacteristic
232#13133217C2312yes—
233#13133217C2314yes—
234#13133217C2312yes—
235#13133217C2312yes—
236#13133217C2312yes—
237#13133217C2311yescharacteristic
238#13133216C2318yes—
239#13133216C2314yes—
240#13133216C2314yes—
241#13133216C2318yes—
242#13133216C2311yescharacteristic
243#13133216C2311yescharacteristic
244#13133215C2314yes—
245#13133215C2318yes—
246#13133215C2311yescharacteristic
247#13133214C2311yescharacteristic
248#13133213C2311yescharacteristic
249#13133212C2312yes—
250#13133212C2318yes—
251#13133212C2318yes—
252#13133212C2318yes—
253#13133212C2318yes—
254#13133212C2318yes—
255#13133212C2318yes—
256#13133212C2318yes—
257#13133212C2318yes—
258#13133212C2318yes—
259#13133212C2318yes—
260#13133212C2312yes—
261#13133212C2314yes—
262#13133212C2314yes—
263#13133211C2318yes—
264#13133211C2318yes—
265#13133210C2312yes—
266#13133210C2318yes—
267#13133210C2318yes—
268#13133210C2312yes—
269#13133209C2318yes—
270#13133209C2314yes—
271#13133209C2314yes—
272#13133208C2312yes—
273#13133208C2318yes—
274#13133208C2314yes—
275#13133208C2314yes—
276#13133208C2312yes—
277#13133208C2314yes—
278#13133208C2314yes—
279#13133208C2311yescharacteristic
280#13133208C2314yes—
281#13133208C2314yes—
282#13133208C2311yescharacteristic
283#13133207C2318yes—
284#13133207C2318yes—
285#13133207C2318yes—
286#13133207C2318yes—
287#13133207C2318yes—
288#13133207C2318yes—
289#13133207C2318yes—
290#13133207C2312yes—
291#13133207C2312yes—
292#13133206C2312yes—
293#13133206C2314yes—
294#13133206C2318yes—
295#13133206C2318yes—
296#13133206C2312yes—
297#13133206C2318yes—
298#13133206C2318yes—
299#13133206C2311yescharacteristic
300#13133205C2314yes—
301#13133205C2318yes—
302#13133205C2312yes—
303#13133204C2311yescharacteristic
304#13133203C2318yes—
305#13133203C2318yes—
306#13133203C2318yes—
307#13133203C2312yes—
308#13133203C2312yes—
309#13133202C2318yes—
310#13133202C2318yes—
311#13133202C2318yes—
312#13133202C2318yes—
313#13133202C2318yes—
314#13133202C2314yes—
315#13133202C2314yes—
316#13133202C2312yes—
317#13133202C2312yes—
318#13133201C2312yes—
319#13133201C2314yes—
320#13133200C2318yes—
321#13133200C2318yes—
322#13133199C2318yes—
323#13133199C2318yes—
324#13133199C2318yes—
325#13133199C2312yes—
326#13133199C2312yes—
327#13133198C2312yes—
328#13133197C2314yes—
329#13133197C2318yes—
330#13133197C2314yes—
331#13133197C2318yes—
332#13133197C2312yes—
333#13133197C2314yes—
334#13133197C2311yescharacteristic
335#13133197C2312yes—
336#13133197C2314yes—
337#13133197C2318yes—
338#13133197C2311yescharacteristic
339#13133197C2314yes—
340#13133197C2314yes—
341#13133197C2314yes—
342#13133196C2314yes—
343#13133196C2314yes—
344#13133195C2318yes—
345#13133195C2318yes—
346#13133195C2318yes—
347#13133195C2318yes—
348#13133195C2312yes—
349#13133195C2312yes—
350#13133194C2318yes—
351#13133194C2312yes—
352#13133194C2312yes—
353#13133193C2314yes—
354#13133193C2314yes—
355#13133193C2314yes—
356#13133193C2318yes—
357#13133193C2318yes—
358#13133193C2318yes—
359#13133193C2311yescharacteristic
360#13133193C2314yes—
361#13133193C2311yescharacteristic
362#13133193C2314yes—
363#13133193C2314yes—
364#13133193C2314yes—
365#13133193C2312yes—
366#13133193C2312yes—
367#13133192C2318yes—
368#13133192C2314yes—
369#13133192C2314yes—
370#13133192C2318yes—
371#13133192C2314yes—
372#13133192C2312yes—
373#13133192C2311yescharacteristic
374#13133192C2312yes—
375#13133192C2311yescharacteristic
376#13133192C2312yes—
377#13133192C2312yes—
378#13133191C2312yes—
379#13133191C2312yes—
380#13133191C2314yes—
381#13133191C2318yes—
382#13133191C2318yes—
383#13133191C2318yes—
384#13133191C2314yes—
385#13133190C2318yes—
386#13133190C2318yes—
387#13133190C2312yes—
388#13133190C2312yes—
389#13133189C2318yes—
390#13133189C2312yes—
391#13133189C2312yes—
392#13133188C2314yes—
393#13133188C2311yescharacteristic
394#13133188C2311yescharacteristic
395#13133187C2312yes—
396#13133187C2314yes—
397#13133185C2312yes—
398Q8×Dic53C2314yes—
399Q8×Dic53C2314yes—
400Q8×Dic53C2314yes—
401Q8×Dic53C2314yes—
402Q8×Dic53C2318yes—
403Q8×Dic53C2318yes—
404Q8×Dic53C2314yes—
405Q8×Dic53C2314yes—
406Q8×Dic53C2312yes—
407Q8×Dic53C2312yes—
408C4×Dic106C2314yes—
409C4×Dic106C2314yes—
410C4×Dic106C2314yes—
411C4×Dic106C2312yes—
412C4×Dic106C2312yes—
413C4×Dic106C2311yescharacteristic
414C4×Dic106C2318yes—
415C4×Dic106C2312yes—
416C4×Dic106C2312yes—
417C4×Dic106C2311yescharacteristic
418#13133182C2314yes—
419#13133182C2314yes—
420#13133182C2314yes—
421#13133182C2314yes—
422#13133182C2312yes—
423#13133182C2312yes—
424#13133182C2318yes—
425#13133182C2314yes—
426#13133182C2314yes—
427C4×D212C2312yes—
428C4×D212C2314yes—
429C4×D212C2311yescharacteristic
430C4×D212C2312yes—
431C4×D212C2312yes—
432C4×D212C2312yes—
433C4×D212C2318yes—
434C4×D212C2311yescharacteristic
435C4×D212C2314yes—
436C4×D212C2312yes—
437C4×D212C2314yes—
438C4×D212C2314yes—
439C4×D212C2312yes—
440C4×D212C2314yes—
441#13133179C2314yes—
442#13133179C2318yes—
443#13133179C2312yes—
444#13133179C2314yes—
445#13133179C2312yes—
446#13133179C2312yes—
447#13133179C2312yes—
448#13133179C2314yes—
449#13133179C2314yes—
450C4×C22⋊D53C2312yes—
451C4×C22⋊D53C2312yes—
452C4×C22⋊D53C2312yes—
453C4×C22⋊D53C2312yes—
454C4×C22⋊D53C2318yes—
455C4×C22⋊D53C2318yes—
456C4×C22⋊D53C2312yes—
457C4×C22⋊D53C2318yes—
458C4×C22⋊D53C2312yes—
459C4×C22⋊D53C2312yes—
460C4×C22⋊D53C2312yes—
461C4×C22⋊D53C2312yes—
462C4×C22⋊D53C2312yes—
463#13133177C2318yes—
464#13133177C2318yes—
465#13133177C2314yes—
466#13133177C2314yes—
467#13133176C2318yes—
468#13133176C2314yes—
469#13133176C2318yes—
470#13133176C2312yes—
471#13133176C2311yescharacteristic
472#13133176C2312yes—
473#13133175C2314yes—
474#13133175C2314yes—
475#13133175C2318yes—
476#13133175C2318yes—
477#13133175C2312yes—
478#13133175C2314yes—
479#13133175C2314yes—
480#13133175C2314yes—
481#13133175C2314yes—
482#13133175C2314yes—
483#13133175C2312yes—
484#13133175C2314yes—
485#13133175C2314yes—
486#13133175C2314yes—
487#13133174C2318yes—
488#13133174C2318yes—
489#13133174C2314yes—
490#13133174C2312yes—
491#13133174C2312yes—
492#13133174C2312yes—
493#13133174C2312yes—
494#13133174C2312yes—
495C2×C4⋊Dic53C2312yes—
496C2×C4⋊Dic53C2314yes—
497C2×C4⋊Dic53C2312yes—
498C2×#11719919C2314yes—
499C4⋊C4×D53C2318yes—
500C4⋊C4×D53C2318yes—
501C4⋊C4×D53C2314yes—
502C4⋊C4×D53C2314yes—
503C4⋊C4×D53C2314yes—
504C4⋊C4×D53C2314yes—
505C2×#11719921C2314yes—
506C2×C4×Dic53C2311yescharacteristic
507C2×C4×Dic53C2311yescharacteristic
508C2×C4×Dic53C2311yescharacteristic
509C2×C4×Dic53C2314yes—
510C42×D53C2311yescharacteristic
511C42×D53C2311yescharacteristic
512C42×D53C2311yescharacteristic
513C42×D53C2311yescharacteristic
514C42×D53C2311yescharacteristic
515C42×D53C2311yescharacteristic
516C42×D53C2311yescharacteristic
517C42×D53C2311yescharacteristic
518C42×D53C2314yes—
519C42×D53C2312yes—
520C2×#41×C53C2311yescharacteristic
521C22×Q8×C53C2312yes—
522C22×Q8×C53C2314yes—
523C4⋊Q8×C53C2314yes—
524C4⋊Q8×C53C2312yes—
525C4⋊Q8×C53C2312yes—
526C4⋊Q8×C53C2312yes—
527C4⋊Q8×C53C2312yes—
528C4⋊Q8×C53C2311yescharacteristic
529C4⋊Q8×C53C2314yes—
530C4⋊Q8×C53C2314yes—
531C4⋊Q8×C53C2311yescharacteristic
532C4⋊Q8×C53C2314yes—
533C4⋊Q8×C53C2318yes—
534#125×C53C2318yes—
535#125×C53C2314yes—
536#125×C53C2314yes—
537#125×C53C2312yes—
538C22⋊Q8×C53C2314yes—
539C22⋊Q8×C53C2312yes—
540C22⋊Q8×C53C2314yes—
541C22⋊Q8×C53C2318yes—
542C22⋊Q8×C53C2312yes—
543C22⋊Q8×C53C2318yes—
544C22⋊Q8×C53C2318yes—
545C4×Q8×C53C2314yes—
546C4×Q8×C53C2312yes—
547C4×Q8×C53C2311yescharacteristic
548C4×Q8×C53C2311yescharacteristic
549C4×Q8×C53C2314yes—
550C4×Q8×C53C2312yes—
551C4×Q8×C53C2314yes—
552C4×D4×C53C2311yescharacteristic
553C4×D4×C53C2312yes—
554C4×D4×C53C2312yes—
555C4×D4×C53C2311yescharacteristic
556C4×D4×C53C2318yes—
557C4×D4×C53C2314yes—
558#117×C53C2311yescharacteristic
559#117×C53C2312yes—
560#117×C53C2312yes—
561#117×C53C2314yes—
562C2×C4⋊C4×C53C2314yes—
563C2×C4⋊C4×C53C2312yes—
564C2×C4⋊C4×C53C2314yes—
565C2×C4⋊C4×C53C2312yes—
566C2×C42×C53C2311yescharacteristic
567C2×C42×C53C2312yes—
568C23×D53C2411yescharacteristic
569#41×C53—24no—
570C2×Q8×C53—44no—
571C2×Q8×C53—48no—
572C2×Q8×C53C2411yescharacteristic
573C2×Q8×C53C2412yes—
574C2×Q8×C53C2412yes—
575C2×Q8×C53C2414yes—
576C2×Q8×C53C2414yes—
577C2×Q8×C53C2418yes—
578C2×D4×C53C2412yes—
579C2×D4×C53C2411yescharacteristic
580C22×C4×C53C2412yes—
581C22×C4×C53C2411yescharacteristic
582C22×C4×C53C2412yes—
583C22×C4×C53C2411yescharacteristic
584C22×C4×C53C2412yes—
585C22×C4×C53C2414yes—
586C22×C4×C53C2418yes—
587C22×C4×C53C2411yescharacteristic
588C2×C22⋊D53C2414yes—
589C2×C22⋊D53C2412yes—
590C2×C22⋊D53C2412yes—
591C2×C22⋊D53C2412yes—
592C2×C22⋊D53C2418yes—
593C2×C22⋊D53C2412yes—
594C2×C22⋊D53C2412yes—
595C22×Dic53C2411yescharacteristic
596C22×Dic53C2411yescharacteristic
597C22×Dic53C2411yescharacteristic
598C22×Dic53C2414yes—
599#11719949—44no—
600#11719949—44no—
601#11719949—48no—
602Q8×D53—48no—
603#11719945—28no—
604#11719945—24no—
605#11719945—48no—
606#11719945—44no—
607#11719945—44no—
608C2×D212C2412yes—
609C2×D212C2412yes—
610C2×D212C2412yes—
611C2×D212C2411yescharacteristic
612C2×D212C2414yes—
613C2×D212C2414yes—
614C2×D212C2418yes—
615C2×D212C2412yes—
616C2×D212C2412yes—
617C2×C4×D53—24no—
618C2×C4×D53—42no—
619C2×C4×D53—42no—
620C2×C4×D53C2411yescharacteristic
621C2×C4×D53C2411yescharacteristic
622C2×C4×D53C2411yescharacteristic
623C2×C4×D53C2411yescharacteristic
624C2×C4×D53C2411yescharacteristic
625C2×C4×D53C2411yescharacteristic
626C2×C4×D53C2411yescharacteristic
627C2×C4×D53C2411yescharacteristic
628C2×C4×D53C2412yes—
629C2×C4×D53C2414yes—
630C2×C4×D53C2412yes—
631C2×C4×D53C2412yes—
632C2×C4×D53C2411yescharacteristic
633C2×C4×D53C2411yescharacteristic
634C2×C4×D53C2411yescharacteristic
635C2×C4×D53C2411yescharacteristic
636C2×C4×D53C2414yes—
637C2×C4×D53C2414yes—
638C2×C4×D53C2418yes—
639C2×C4×D53C2418yes—
640C2×C4×D53C2418yes—
641C2×Dic106—44no—
642C2×Dic106C2412yes—
643C2×Dic106C2414yes—
644C2×Dic106C2411yescharacteristic
645C2×Dic106C2414yes—
646C2×Dic106C2418yes—
647C2×Dic106C2412yes—
648C2×Dic106C2412yes—
649C4⋊C4×C53C2412yes—
650C4⋊C4×C53C2414yes—
651C4⋊C4×C53C2412yes—
652C4⋊C4×C53C2414yes—
653C4⋊C4×C53C2414yes—
654C4⋊C4×C53C2418yes—
655C4⋊C4×C53C2418yes—
656C4⋊C4×C53C2414yes—
657C4⋊C4×C53C2412yes—
658C4⋊C4×C53C2411yescharacteristic
659C4⋊C4×C53C2412yes—
660C4⋊C4×C53C2411yescharacteristic
661C4⋊C4×C53C2412yes—
662C4⋊C4×C53C2412yes—
663C4⋊C4×C53C2418yes—
664C4⋊C4×C53C2414yes—
665C4⋊C4×C53C2414yes—
666C4⋊C4×C53C2418yes—
667C22⋊C4×C53C2414yes—
668C22⋊C4×C53C2412yes—
669C22⋊C4×C53C2418yes—
670C22⋊C4×C53C2412yes—
671C22⋊C4×C53C2412yes—
672C42×C53C2411yescharacteristic
673C42×C53C2411yescharacteristic
674C42×C53C2412yes—
675C42×C53C2411yescharacteristic
676C42×C53C2411yescharacteristic
677C42×C53C2412yes—
678C42×C53C2412yes—
679C42×C53C2414yes—
680C42×C53C2418yes—
681C22⋊Dic53C2412yes—
682C22⋊Dic53C2412yes—
683C22⋊Dic53C2418yes—
684C22⋊Dic53C2412yes—
685C22⋊Dic53C2412yes—
686C22⋊Dic53C2412yes—
687#11719921C2418yes—
688#11719921C2418yes—
689#11719921C2412yes—
690#11719921C2414yes—
691#11719921C2412yes—
692#11719921C2418yes—
693#11719921C2414yes—
694#11719921C2414yes—
695#11719921C2412yes—
696#11719921C2412yes—
697#11719921C2412yes—
698#11719921C2412yes—
699#11719921C2412yes—
700#11719921C2412yes—
701#11719921C2412yes—
702#11719921C2412yes—
703#11719921C2418yes—
704#11719921C2414yes—
705#11719921C2418yes—
706#11719921C2418yes—
707#11719921C2418yes—
708#11719921C2418yes—
709#11719921C2414yes—
710#11719921C2414yes—
711#11719921C2414yes—
712#11719921C2414yes—
713C4⋊Dic53C2411yescharacteristic
714C4⋊Dic53C2412yes—
715C4⋊Dic53C2414yes—
716C4⋊Dic53C2414yes—
717C4⋊Dic53C2414yes—
718C4⋊Dic53C2418yes—
719C4⋊Dic53C2418yes—
720C4⋊Dic53C2414yes—
721C4⋊Dic53C2411yescharacteristic
722C4⋊Dic53C2412yes—
723C4⋊Dic53C2412yes—
724C4⋊Dic53C2414yes—
725C4⋊Dic53C2412yes—
726C4⋊Dic53C2414yes—
727C4⋊Dic53C2412yes—
728C4⋊Dic53C2412yes—
729C4⋊Dic53C2418yes—
730C4⋊Dic53C2418yes—
731#11719919C2412yes—
732#11719919C2418yes—
733#11719919C2418yes—
734#11719919C2418yes—
735#11719919C2418yes—
736#11719919C2418yes—
737#11719919C2418yes—
738#11719919C2418yes—
739#11719919C2412yes—
740#11719919C2414yes—
741#11719919C2414yes—
742#11719919C2412yes—
743#11719919C2412yes—
744#11719919C2412yes—
745#11719919C2412yes—
746#11719919C2412yes—
747#11719919C2412yes—
748#11719919C2412yes—
749#11719919C2412yes—
750#11719919C2418yes—
751C4×Dic53C2411yescharacteristic
752C4×Dic53C2411yescharacteristic
753C4×Dic53C2411yescharacteristic
754C4×Dic53C2411yescharacteristic
755C4×Dic53C2411yescharacteristic
756C4×Dic53C2411yescharacteristic
757C4×Dic53C2411yescharacteristic
758C4×Dic53C2411yescharacteristic
759C4×Dic53C2411yescharacteristic
760C4×Dic53C2411yescharacteristic
761C4×Dic53C2411yescharacteristic
762C4×Dic53C2411yescharacteristic
763C4×Dic53C2414yes—
764C4×Dic53C2412yes—
765C4×Dic53C2412yes—
766C4×Dic53C2412yes—
767C4×Dic53C2414yes—
768C4×Dic53C2418yes—
769C4×Dic53C2418yes—
770C4×Dic53C2418yes—
771C4×Dic53C2418yes—
772C4×Dic53C2418yes—
773C23×C53C2512yes—
774C23×C53C2511yescharacteristic
775C22×D53—22no—
776C22×D53—41no—
777C22×D53—41no—
778C22×D53C2512yes—
779C22×D53C2514yes—
780C22×D53C2511yescharacteristic
781C22×D53C2511yescharacteristic
782Q8×C53—22no—
783Q8×C53—24no—
784Q8×C53—24no—
785Q8×C53—28no—
786Q8×C53—48no—
787Q8×C53—44no—
788D4×C53—24no—
789D4×C53—22no—
790C2×C4×C53—24no—
791C2×C4×C53—22no—
792C2×C4×C53—22no—
793C2×C4×C53—24no—
794C2×C4×C53—24no—
795C2×C4×C53—44no—
796C2×C4×C53—48no—
797C2×C4×C532−1+414yes—
798C2×C4×C53C2511yescharacteristic
799C2×C4×C53C2514yes—
800C2×C4×C53C2512yes—
801C2×C4×C53C2512yes—
802C2×C4×C53C2511yescharacteristic
803C2×C4×C53C2514yes—
804C2×C4×C53C2518yes—
805C2×C4×C53C2512yes—
806C2×C4×C53C2511yescharacteristic
807C2×C4×C53C2511yescharacteristic
808C2×C4×C53C2511yescharacteristic
809C2×C4×C53C2511yescharacteristic
810C22⋊D53—28no—
811C22⋊D53—24no—
812C22⋊D53—48no—
813C22⋊D53—42no—
814C22⋊D53—42no—
815C22⋊D53—42no—
816C22⋊D53—42no—
817C2×Dic53—22no—
818C2×Dic53—44no—
819C2×Dic53—41no—
820C2×Dic53—41no—
821C2×Dic53C2512yes—
822C2×Dic53C2518yes—
823C2×Dic53C2511yescharacteristic
824C2×Dic53C2511yescharacteristic
825C2×Dic53C2512yes—
826C2×Dic53C2514yes—
827C2×Dic53C2512yes—
828C2×Dic53C2511yescharacteristic
829C2×Dic53C2511yescharacteristic
830C2×Dic53C2511yescharacteristic
831C2×Dic53C2511yescharacteristic
832D212—24no—
833D212—22no—
834D212—24no—
835D212—24no—
836D212—42no—
837D212—42no—
838D212—44no—
839D212—44no—
840D212—48no—
841C4×D53—22no—
842C4×D53—22no—
843C4×D53—22no—
844C4×D53—22no—
845C4×D53—24no—
846C4×D53—28no—
847C4×D53—22no—
848C4×D53—22no—
849C4×D53—22no—
850C4×D53—22no—
851C4×D53—24no—
852C4×D53—24no—
853C4×D53—41no—
854C4×D53—41no—
855C4×D53—41no—
856C4×D53—41no—
857C4×D53—48no—
858C4×D53—48no—
859C4×D53—48no—
860C4×D53—44no—
861C4×D53—44no—
862Dic106—24no—
863Dic106—22no—
864Dic106—28no—
865Dic106—44no—
866Dic106—42no—
867Dic106—42no—
868Dic106—48no—
869#62838—531nomaximal, Sylow
870C22×C53—21no—
871C22×C53—21no—
872C22×C53—22no—
873C22×C53—22no—
874C22×C53—22no—
875C22×C53C2×2−1+412yes—
876C22×C53C2611yescharacteristic
877C2×D53—21no—
878C2×D53—21no—
879C2×D53—22no—
880C2×D53—24no—
881C2×D53—22no—
882C2×D53—21no—
883C2×D53—21no—
884C2×D53—21no—
885C2×D53—21no—
886C2×D53—22no—
887C2×D53—24no—
888C2×D53—24no—
889C2×D53—44no—
890C4×C53—22no—
891C4×C53—21no—
892C4×C53—24no—
893C4×C53—22no—
894C4×C53—22no—
895C4×C53—21no—
896C4×C53—28no—
897C4×C53—24no—
898C4×C53C2×2−1+412yes—
899C4×C53C2×2−1+412yes—
900C4×C53#58512yes—
901C4×C53#58512yes—
902Dic53—24no—
903Dic53—22no—
904Dic53—21no—
905Dic53—21no—
906Dic53—28no—
907Dic53—22no—
908Dic53—21no—
909Dic53—21no—
910Dic53—22no—
911Dic53—21no—
912Dic53—21no—
913#3565—534no—
914#3565—534no—
915#3555—532no—
916#3555—532no—
917#3547—532no—
918#3547—532no—
919#3541—534no—
920#3541—534no—
921#3518—532no—
922#3518—532no—
923#3516—534no—
924#3516—534no—
925#3515—532no—
926#3515—532no—
927#3512—532no—
928#3511—532no—
929#3511—531no—
930#3511—532no—
931#3511—531no—
932#3509—532no—
933#3509—532no—
934#3504—532no—
935#3503—531no—
936#3503D5311yescharacteristic, complemented
937#3493—532no—
938#3493—532no—
939#3444—531no—
940#3444—531no—
941C2×#533—531no—
942C2×C53—22no—
943C2×C53—42no—
944C2×C53C22×2−1+411yescharacteristic
945C2×C53C2×#58511yescharacteristic
946C2×C53C2×#58511yescharacteristic
947D53—42no—
948D53—44no—
949D53—41no—
950D53—41no—
951#563—538no—
952#563—538no—
953#562—538no—
954#562—538no—
955Q82—532no—
956Q82C2×D5312yescomplemented
957#557—534no—
958#557—534no—
959#557—534no—
960#557—534no—
961#557—532no—
962#557C2×D5312yescomplemented
963#556—534no—
964#556—534no—
965#556—534no—
966#556—534no—
967#556—532no—
968#556—538no—
969#556—534no—
970#556—538no—
971#556—534no—
972#556—534no—
973#556—532no—
974#556—534no—
975#555—534no—
976#555—534no—
977#555—532no—
978#555—534no—
979#555—532no—
980#555—534no—
981#554—534no—
982#554—532no—
983#554—534no—
984#554—538no—
985#554—534no—
986#554—538no—
987#554—532no—
988#554—532no—
989#554C2×D5314yes—
990#554C2×D5312yescomplemented
991#553—534no—
992#553—534no—
993#553—534no—
994#553—538no—
995#553—538no—
996#553—534no—
997#553—534no—
998#553—534no—
999#553—534no—
1000#553—534no—
1001#552—538no—
1002#552—534no—
1003#552—534no—
1004#552—534no—
1005#552—538no—
1006#552—534no—
1007#552—534no—
1008#552—534no—
1009#552—534no—
1010#552—534no—
1011#552—534no—
1012#552—534no—
1013D4×Q8—534no—
1014D4×Q8—532no—
1015D4×Q8C2×D5314yes—
1016D4×Q8C2×D5312yescomplemented
1017#548—534no—
1018#548—534no—
1019#548—534no—
1020#548—534no—
1021#548—534no—
1022#548—534no—
1023#547—534no—
1024#547—532no—
1025#547—534no—
1026#547—532no—
1027#544—534no—
1028#544—534no—
1029#544—534no—
1030#544—532no—
1031#544C2×D5312yes—
1032#544C2×D5314yescomplemented
1033#542—534no—
1034#542—534no—
1035#542—534no—
1036#542—538no—
1037#542—534no—
1038#542—538no—
1039#542—538no—
1040#542—538no—
1041#542—534no—
1042#542—534no—
1043#541—534no—
1044#541—534no—
1045#541—538no—
1046#541—538no—
1047#541—534no—
1048#541—534no—
1049#541—534no—
1050#540—534no—
1051#539—538no—
1052#539—538no—
1053#538—538no—
1054#538—538no—
1055#537—532no—
1056#537—534no—
1057#537—532no—
1058#537—534no—
1059#536—534no—
1060#536—534no—
1061#533—532no—
1062#533—532no—
1063#533—532no—
1064#533—532no—
1065#533—532no—
1066#533—532no—
1067#533—532no—
1068#533—532no—
1069#533—531no—
1070#533—531no—
1071#533—532no—
1072#533—534no—
1073#533—532no—
1074#533—531no—
1075#533—531no—
1076#533—531no—
1077#533—532no—
1078#533C2×D5311yescharacteristic
1079#533C2×D5312yescomplemented
1080#532—531no—
1081#532—531no—
1082#532—531no—
1083#532—532no—
1084#532—531no—
1085#532—531no—
1086#532—531no—
1087#532—532no—
1088C2×C4⋊Q8—532no—
1089C2×C4⋊Q8—531no—
1090C2×C4⋊Q8C2×D5311yescharacteristic
1091C2×C4⋊Q8C2×D5312yescomplemented
1092#529—532no—
1093#529—532no—
1094#529—532no—
1095#529—532no—
1096#529—538no—
1097#529—531no—
1098#529—531no—
1099#529—532no—
1100#529—532no—
1101#529—534no—
1102#529—532no—
1103#529—532no—
1104#529—531no—
1105#529—531no—
1106#529—538no—
1107#529—534no—
1108#529—532no—
1109#529—532no—
1110C2×#125—534no—
1111C2×#125—532no—
1112#525—531no—
1113#525—532no—
1114#525—532no—
1115#525—532no—
1116#525—532no—
1117#525—532no—
1118#525—531no—
1119C2×C22⋊Q8—532no—
1120C2×C22⋊Q8—532no—
1121#520—534no—
1122#520—532no—
1123#520—532no—
1124#520—532no—
1125#520—534no—
1126#520C2×D5312yes—
1127#519—534no—
1128#519—534no—
1129C4×#41—532no—
1130C4×#41—532no—
1131C4×#41—532no—
1132C4×#41—531no—
1133C4×#41—532no—
1134C4×#41—532no—
1135C4×#41C2×D5311yescharacteristic
1136C2×C4×Q8—532no—
1137C2×C4×Q8—532no—
1138C2×#117—532no—
1139C22×C42—531no—
1140C53#6283811yescharacteristic, complemented, Sylow
1141C2×#41—532no—
1142C2×#41—532no—
1143C2×#41—534no—
1144C2×#41—532no—
1145C2×#41—531no—
1146C2×#41—532no—
1147C2×#41—532no—
1148C2×#41—534no—
1149C2×#41C22×D5311yescharacteristic
1150C22×Q8—534no—
1151C22×Q8—532no—
1152C22×Q8C22×D5312yes—
1153C22×Q8C22×D5314yes—
1154C23×C4—531no—
1155C23×C4—531no—
1156C23×C4—531no—
1157C4⋊Q8—534no—
1158C4⋊Q8—531no—
1159C4⋊Q8—538no—
1160C4⋊Q8—534no—
1161C4⋊Q8—534no—
1162C4⋊Q8—531no—
1163C4⋊Q8—531no—
1164C4⋊Q8—538no—
1165C4⋊Q8—538no—
1166C4⋊Q8—532no—
1167C4⋊Q8—532no—
1168C4⋊Q8—532no—
1169C4⋊Q8—532no—
1170C4⋊Q8—531no—
1171C4⋊Q8—534no—
1172C4⋊Q8C22×D5311yescharacteristic
1173C4⋊Q8C22×D5312yes—
1174C4⋊Q8C22×D5312yes—
1175C4⋊Q8C22×D5312yes—
1176C4⋊Q8C22×D5312yes—
1177C4⋊Q8C22×D5311yescharacteristic
1178C4⋊Q8C22×D5314yes—
1179C4⋊Q8C22×D5314yes—
1180C4⋊Q8C22×D5314yes—
1181C4⋊Q8C22×D5314yes—
1182C4⋊Q8C22×D5318yes—
1183#127—531no—
1184#127—531no—
1185#126—534no—
1186#126—534no—
1187#126—532no—
1188#126—532no—
1189#126—538no—
1190#126—538no—
1191#126—538no—
1192#126—538no—
1193#126—538no—
1194#126—538no—
1195#126—538no—
1196#126—538no—
1197#126—538no—
1198#126—538no—
1199#126—532no—
1200#126—532no—
1201#126—538no—
1202#126—538no—
1203#126—538no—
1204#126—538no—
1205#125—531no—
1206#125—534no—
1207#125—534no—
1208#125—534no—
1209#125—534no—
1210#125—538no—
1211#125—538no—
1212#125—531no—
1213#125—532no—
1214#125—532no—
1215#125—532no—
1216#125—532no—
1217#125—538no—
1218#125—538no—
1219#125—534no—
1220#125—534no—
1221#125—538no—
1222#125—538no—
1223#125—538no—
1224#125—538no—
1225#125—534no—
1226#125—534no—
1227#125—538no—
1228#125C22×D5314yes—
1229#125C22×D5312yes—
1230#125C22×D5314yes—
1231#125C22×D5318yes—
1232#124—531no—
1233#124—532no—
1234#124—532no—
1235#124—538no—
1236#124—534no—
1237#124—538no—
1238#124—538no—
1239#124—538no—
1240#124—531no—
1241#124—532no—
1242#124—532no—
1243#124—538no—
1244#124—538no—
1245#124—538no—
1246#124—532no—
1247#124—534no—
1248#124—538no—
1249#123—532no—
1250#123—538no—
1251#123—538no—
1252#123—532no—
1253#123—532no—
1254#123—534no—
1255#123—534no—
1256#123—538no—
1257#123—538no—
1258#123—538no—
1259#123—538no—
1260#123—538no—
1261#123—532no—
1262#123—534no—
1263#123—532no—
1264#123—532no—
1265#123—538no—
1266#123—538no—
1267#123—538no—
1268C22⋊Q8—534no—
1269C22⋊Q8—534no—
1270C22⋊Q8—534no—
1271C22⋊Q8—534no—
1272C22⋊Q8—532no—
1273C22⋊Q8—532no—
1274C22⋊Q8—531no—
1275C22⋊Q8—531no—
1276C22⋊Q8—534no—
1277C22⋊Q8—534no—
1278C22⋊Q8—534no—
1279C22⋊Q8—538no—
1280C22⋊Q8—538no—
1281C22⋊Q8—538no—
1282C22⋊Q8—534no—
1283C22⋊Q8—534no—
1284C22⋊Q8—534no—
1285C22⋊Q8—534no—
1286C22⋊Q8—534no—
1287C22⋊Q8—534no—
1288C22⋊Q8—531no—
1289C22⋊Q8—532no—
1290C22⋊Q8—532no—
1291C22⋊Q8—531no—
1292C22⋊Q8—532no—
1293C22⋊Q8—532no—
1294C22⋊Q8—534no—
1295C22⋊Q8—534no—
1296C22⋊Q8—534no—
1297C22⋊Q8—538no—
1298C22⋊Q8—538no—
1299C22⋊Q8—538no—
1300C22⋊Q8—538no—
1301C22⋊Q8—538no—
1302C22⋊Q8—538no—
1303C22⋊Q8—538no—
1304C22⋊Q8—532no—
1305C22⋊Q8—532no—
1306C22⋊Q8—538no—
1307C22⋊Q8C22×D5312yes—
1308C22⋊Q8C22×D5312yes—
1309C22⋊Q8C22×D5318yes—
1310C22⋊Q8C22×D5314yes—
1311C22⋊Q8C22×D5314yes—
1312C22⋊Q8C22×D5318yes—
1313C22⋊Q8C22×D5318yes—
1314#121—531no—
1315#121—532no—
1316#121—532no—
1317#121—531no—
1318#121—538no—
1319#121—534no—
1320#121—532no—
1321#121—532no—
1322#121—538no—
1323#121—534no—
1324#121—534no—
1325#121—538no—
1326#121—538no—
1327#121—532no—
1328#121—532no—
1329#121—531no—
1330#121—532no—
1331#121—532no—
1332#121—531no—
1333#121—534no—
1334#121—534no—
1335#121—534no—
1336#121—538no—
1337#121—538no—
1338#121—532no—
1339#121—532no—
1340#121—538no—
1341#121—538no—
1342#120—532no—
1343#120—532no—
1344#120—534no—
1345C4×Q8—534no—
1346C4×Q8—534no—
1347C4×Q8—534no—
1348C4×Q8—534no—
1349C4×Q8—532no—
1350C4×Q8—532no—
1351C4×Q8—538no—
1352C4×Q8—534no—
1353C4×Q8—534no—
1354C4×Q8—538no—
1355C4×Q8—534no—
1356C4×Q8—534no—
1357C4×Q8—534no—
1358C4×Q8—534no—
1359C4×Q8—532no—
1360C4×Q8—532no—
1361C4×Q8—538no—
1362C4×Q8—534no—
1363C4×Q8—534no—
1364C4×Q8—532no—
1365C4×Q8—532no—
1366C4×Q8—531no—
1367C4×Q8—532no—
1368C4×Q8—532no—
1369C4×Q8—531no—
1370C4×Q8—538no—
1371C4×Q8—534no—
1372C4×Q8—534no—
1373C4×Q8—534no—
1374C4×Q8C22×D5312yes—
1375C4×Q8C22×D5312yes—
1376C4×Q8C22×D5311yescharacteristic
1377C4×Q8C22×D5311yescharacteristic
1378C4×Q8C22×D5314yes—
1379C4×Q8C22×D5314yes—
1380C4×Q8C22×D5314yes—
1381C4×D4—532no—
1382C4×D4—532no—
1383C4×D4—532no—
1384C4×D4—532no—
1385C4×D4—532no—
1386C4×D4—532no—
1387C4×D4—532no—
1388C4×D4—532no—
1389C4×D4—532no—
1390C4×D4—532no—
1391C4×D4—538no—
1392C4×D4—538no—
1393C4×D4—538no—
1394C4×D4—532no—
1395C4×D4—532no—
1396C4×D4—534no—
1397C4×D4—534no—
1398C4×D4—532no—
1399C4×D4—532no—
1400C4×D4—538no—
1401C4×D4—534no—
1402C4×D4—534no—
1403C4×D4—534no—
1404C4×D4—534no—
1405C4×D4—538no—
1406C4×D4—538no—
1407C4×D4—532no—
1408C4×D4—532no—
1409C4×D4—532no—
1410C4×D4—534no—
1411C4×D4—534no—
1412C4×D4—532no—
1413C4×D4—531no—
1414C4×D4—532no—
1415C4×D4—532no—
1416C4×D4—531no—
1417C4×D4—538no—
1418C4×D4—534no—
1419C4×D4—534no—
1420C4×D4—534no—
1421C4×D4C22×D5312yes—
1422C4×D4C22×D5312yes—
1423C4×D4C22×D5311yescharacteristic
1424C4×D4C22×D5311yescharacteristic
1425C4×D4C22×D5318yes—
1426C4×D4C22×D5314yes—
1427#117—532no—
1428#117—531no—
1429#117—532no—
1430#117—538no—
1431#117—538no—
1432#117—534no—
1433#117—534no—
1434#117—534no—
1435#117—534no—
1436#117—534no—
1437#117—532no—
1438#117—532no—
1439#117—534no—
1440#117—534no—
1441#117—538no—
1442#117—534no—
1443#117—538no—
1444#117—534no—
1445#117—534no—
1446#117—534no—
1447#117—532no—
1448#117—532no—
1449#117—532no—
1450#117—532no—
1451#117—534no—
1452#117—532no—
1453#117—538no—
1454#117—538no—
1455#117C22×D5312yes—
1456#117C22×D5311yescharacteristic
1457#117C22×D5312yes—
1458#117C22×D5314yes—
1459C2×C4⋊C4—532no—
1460C2×C4⋊C4—534no—
1461C2×C4⋊C4—534no—
1462C2×C4⋊C4—532no—
1463C2×C4⋊C4—538no—
1464C2×C4⋊C4—538no—
1465C2×C4⋊C4—534no—
1466C2×C4⋊C4—534no—
1467C2×C4⋊C4—534no—
1468C2×C4⋊C4—534no—
1469C2×C4⋊C4C22×D5312yes—
1470C2×C4⋊C4C22×D5312yes—
1471C2×C4⋊C4C22×D5314yes—
1472C2×C4⋊C4C22×D5314yes—
1473C2×C22⋊C4—534no—
1474C2×C42—534no—
1475C2×C42—531no—
1476C2×C42—531no—
1477C2×C42—531no—
1478C2×C42—534no—
1479C2×C42—532no—
1480C2×C42—531no—
1481C2×C42—531no—
1482C2×C42—531no—
1483C2×C42—531no—
1484C2×C42—531no—
1485C2×C42—531no—
1486C2×C42—531no—
1487C2×C42—531no—
1488C2×C42C22×D5312yes—
1489C2×C42C22×D5311yescharacteristic
1490C24—531no—
1491#41—24no—
1492#41—1064no—
1493#41—1068no—
1494#41—2124no—
1495#41—2124no—
1496#41—2128no—
1497#41—2124no—
1498#41—2128no—
1499#41—2124no—
1500C2×Q8—44no—
1501C2×Q8—48no—
1502C2×Q8—532no—
1503C2×Q8—531no—
1504C2×Q8—534no—
1505C2×Q8—534no—
1506C2×Q8—532no—
1507C2×Q8—532no—
1508C2×Q8—538no—
1509C2×Q8—2124no—
1510C2×Q8—2128no—
1511C2×Q8C23×D5314yes—
1512C2×Q8C23×D5312yes—
1513C2×Q8C23×D5312yes—
1514C2×Q8C23×D5311yescharacteristic
1515C2×Q8C23×D5314yes—
1516C2×Q8C23×D5318yes—
1517C2×D4—532no—
1518C2×D4—534no—
1519C2×D4—532no—
1520C2×D4—532no—
1521C2×D4—538no—
1522C2×D4—532no—
1523C2×D4—532no—
1524C2×D4—532no—
1525C2×D4—531no—
1526C2×D4—532no—
1527C2×D4—532no—
1528C2×D4—532no—
1529C2×D4—534no—
1530C2×D4—534no—
1531C2×D4—532no—
1532C2×D4—538no—
1533C2×D4C23×D5312yes—
1534C2×D4C23×D5311yescharacteristic
1535C22×C4—531no—
1536C22×C4—531no—
1537C22×C4—531no—
1538C22×C4—534no—
1539C22×C4—531no—
1540C22×C4—531no—
1541C22×C4—531no—
1542C22×C4—531no—
1543C22×C4—531no—
1544C22×C4—531no—
1545C22×C4—531no—
1546C22×C4—531no—
1547C22×C4—532no—
1548C22×C4—534no—
1549C22×C4—532no—
1550C22×C4—532no—
1551C22×C4—531no—
1552C22×C4—531no—
1553C22×C4—531no—
1554C22×C4—531no—
1555C22×C4—534no—
1556C22×C4—534no—
1557C22×C4—538no—
1558C22×C4—538no—
1559C22×C4—538no—
1560C22×C4—1064no—
1561C22×C4—2122no—
1562C22×C4—2122no—
1563C22×C4C23×D5311yescharacteristic
1564C22×C4C23×D5311yescharacteristic
1565C22×C4C23×D5312yes—
1566C22×C4C23×D5312yes—
1567C22×C4C23×D5312yes—
1568C22×C4C23×D5314yes—
1569C22×C4C23×D5318yes—
1570C22×C4C23×D5311yescharacteristic
1571C4⋊C4—531no—
1572C4⋊C4—532no—
1573C4⋊C4—532no—
1574C4⋊C4—534no—
1575C4⋊C4—534no—
1576C4⋊C4—534no—
1577C4⋊C4—538no—
1578C4⋊C4—538no—
1579C4⋊C4—538no—
1580C4⋊C4—538no—
1581C4⋊C4—538no—
1582C4⋊C4—538no—
1583C4⋊C4—538no—
1584C4⋊C4—538no—
1585C4⋊C4—538no—
1586C4⋊C4—534no—
1587C4⋊C4—531no—
1588C4⋊C4—532no—
1589C4⋊C4—532no—
1590C4⋊C4—532no—
1591C4⋊C4—532no—
1592C4⋊C4—534no—
1593C4⋊C4—534no—
1594C4⋊C4—532no—
1595C4⋊C4—532no—
1596C4⋊C4—532no—
1597C4⋊C4—532no—
1598C4⋊C4—532no—
1599C4⋊C4—532no—
1600C4⋊C4—532no—
1601C4⋊C4—532no—
1602C4⋊C4—532no—
1603C4⋊C4—534no—
1604C4⋊C4—534no—
1605C4⋊C4—532no—
1606C4⋊C4—538no—
1607C4⋊C4—538no—
1608C4⋊C4—538no—
1609C4⋊C4C23×D5311yescharacteristic
1610C4⋊C4C23×D5312yes—
1611C4⋊C4C23×D5312yes—
1612C4⋊C4C23×D5314yes—
1613C4⋊C4C23×D5318yes—
1614C4⋊C4C23×D5318yes—
1615C4⋊C4C23×D5314yes—
1616C4⋊C4C23×D5312yes—
1617C4⋊C4C23×D5314yes—
1618C4⋊C4C23×D5312yes—
1619C4⋊C4C23×D5318yes—
1620C4⋊C4C23×D5314yes—
1621C4⋊C4C23×D5311yescharacteristic
1622C4⋊C4C23×D5314yes—
1623C4⋊C4C23×D5314yes—
1624C4⋊C4C23×D5318yes—
1625C4⋊C4C23×D5312yes—
1626C4⋊C4C23×D5312yes—
1627C22⋊C4—532no—
1628C22⋊C4—532no—
1629C22⋊C4—538no—
1630C22⋊C4—532no—
1631C22⋊C4—532no—
1632C22⋊C4—532no—
1633C22⋊C4—538no—
1634C22⋊C4—538no—
1635C22⋊C4—532no—
1636C22⋊C4—532no—
1637C22⋊C4—534no—
1638C22⋊C4—534no—
1639C22⋊C4—538no—
1640C22⋊C4—532no—
1641C22⋊C4—532no—
1642C22⋊C4—532no—
1643C22⋊C4—532no—
1644C22⋊C4—534no—
1645C22⋊C4—534no—
1646C22⋊C4—532no—
1647C22⋊C4—532no—
1648C22⋊C4—534no—
1649C22⋊C4—534no—
1650C22⋊C4—538no—
1651C22⋊C4—538no—
1652C22⋊C4—538no—
1653C22⋊C4—538no—
1654C22⋊C4—538no—
1655C22⋊C4—532no—
1656C22⋊C4—532no—
1657C22⋊C4—534no—
1658C22⋊C4—534no—
1659C22⋊C4C23×D5312yes—
1660C22⋊C4C23×D5314yes—
1661C22⋊C4C23×D5318yes—
1662C22⋊C4C23×D5312yes—
1663C22⋊C4C23×D5312yes—
1664C42—531no—
1665C42—531no—
1666C42—531no—
1667C42—531no—
1668C42—531no—
1669C42—531no—
1670C42—531no—
1671C42—531no—
1672C42—531no—
1673C42—531no—
1674C42—531no—
1675C42—531no—
1676C42—534no—
1677C42—534no—
1678C42—538no—
1679C42—538no—
1680C42—532no—
1681C42—532no—
1682C42—532no—
1683C42—538no—
1684C42—538no—
1685C42—538no—
1686C42C23×D5311yescharacteristic
1687C42C23×D5311yescharacteristic
1688C42C23×D5311yescharacteristic
1689C42C23×D5311yescharacteristic
1690C42C23×D5314yes—
1691C42C23×D5312yes—
1692C42C23×D5312yes—
1693C42C23×D5312yes—
1694C42C23×D5318yes—
1695C23—531no—
1696C23—531no—
1697C23—532no—
1698C23—534no—
1699C23—1062no—
1700C23—2121no—
1701C23—2121no—
1702C23C24×D5312yes—
1703C23C24×D5311yescharacteristic
1704Q8—22no—
1705Q8—28no—
1706Q8—24no—
1707Q8—24no—
1708Q8—44no—
1709Q8—48no—
1710Q8—1064no—
1711Q8—1062no—
1712Q8—1068no—
1713Q8—2124no—
1714Q8—2128no—
1715Q8—2122no—
1716Q8—2122no—
1717D4—24no—
1718D4—22no—
1719D4—1064no—
1720D4—1068no—
1721D4—1064no—
1722D4—1062no—
1723D4—1064no—
1724D4—1064no—
1725D4—2122no—
1726D4—2124no—
1727D4—2128no—
1728D4—2122no—
1729D4—2124no—
1730D4—2122no—
1731D4—2122no—
1732D4—2122no—
1733D4—2122no—
1734D4—2128no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—22no—
1739C2×C4—24no—
1740C2×C4—44no—
1741C2×C4—48no—
1742C2×C4—531no—
1743C2×C4—531no—
1744C2×C4—531no—
1745C2×C4—531no—
1746C2×C4—534no—
1747C2×C4—532no—
1748C2×C4—532no—
1749C2×C4—538no—
1750C2×C4—531no—
1751C2×C4—531no—
1752C2×C4—532no—
1753C2×C4—1062no—
1754C2×C4—1062no—
1755C2×C4—1062no—
1756C2×C4—1062no—
1757C2×C4—1062no—
1758C2×C4—1064no—
1759C2×C4—1068no—
1760C2×C4—1062no—
1761C2×C4—1062no—
1762C2×C4—1064no—
1763C2×C4—1062no—
1764C2×C4—1062no—
1765C2×C4—1064no—
1766C2×C4—2121no—
1767C2×C4—2121no—
1768C2×C4—2121no—
1769C2×C4—2121no—
1770C2×C4—2128no—
1771C2×C4—2124no—
1772C2×C4—2128no—
1773C2×C4—2128no—
1774C2×C4—2124no—
1775C2×C4—2121no—
1776C2×C4—2121no—
1777C2×C4—2124no—
1778C2×C4#1313326514yes—
1779C2×C4C24×D5312yes—
1780C2×C4C24×D5314yes—
1781C2×C4C24×D5318yes—
1782C2×C4C24×D5311yescharacteristic
1783C2×C4C24×D5311yescharacteristic
1784C2×C4C24×D5314yes—
1785C2×C4C24×D5312yes—
1786C2×C4C24×D5312yes—
1787C2×C4C24×D5311yescharacteristic
1788C2×C4C24×D5311yescharacteristic
1789C2×C4C24×D5311yescharacteristic
1790C2×C4C24×D5311yescharacteristic
1791C22—21no—
1792C22—21no—
1793C22—22no—
1794C22—22no—
1795C22—22no—
1796C22—1061no—
1797C22—1061no—
1798C22—1062no—
1799C22—1064no—
1800C22—1061no—
1801C22—1061no—
1802C22—1062no—
1803C22—1064no—
1804C22—1062no—
1805C22—1061no—
1806C22—1061no—
1807C22—1064no—
1808C22—2124no—
1809C22C2×#1313326512yes—
1810C22C25×D5311yescharacteristic
1811C4—22no—
1812C4—21no—
1813C4—22no—
1814C4—28no—
1815C4—24no—
1816C4—22no—
1817C4—21no—
1818C4—24no—
1819C4—1061no—
1820C4—1061no—
1821C4—1064no—
1822C4—1062no—
1823C4—1061no—
1824C4—1062no—
1825C4—1061no—
1826C4—1061no—
1827C4—1061no—
1828C4—1062no—
1829C4—1068no—
1830C4C2×#1313326512yes—
1831C4C2×#1313326512yes—
1832C4#1681145812yes—
1833C4#1681146012yes—
1834C2—22no—
1835C2—42no—
1836C2—2121no—
1837C2—2121no—
1838C2—2122no—
1839C2—2124no—
1840C2C22×#1313326511yescharacteristic
1841C2C2×#1681145811yescharacteristic
1842C2C2×#1681146011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3503C2
hypercenter#3503D53
hypocenterC53#62838
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3503

Complements

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

NH ≅ G/Ntype
1. #20289356C2semidirect
2. #20289348C2semidirect
3. #20289204C2semidirect
4. #20289199C2semidirect
5. #20289105C2semidirect
6. #20289100C2semidirect
7. #20289013C2semidirect
8. #20289009C2semidirect
9. #20288733C2semidirect
10. #20288727C2semidirect
11. #20288709C2semidirect
12. #20288705C2semidirect
13. #20288696C2semidirect
14. #20288692C2semidirect
15. #20288632C2semidirect
16. #20288628C2semidirect
17. #20288628C2semidirect
18. #20288627C2semidirect
19. #20288626C2semidirect
20. #20288599C2semidirect
21. #20288594C2semidirect
22. #20288538C2semidirect
23. #20288527C2semidirect
24. #20288436C2semidirect
25. #20288428C2semidirect
26. #20288012C2semidirect
27. #20288008C2semidirect
28. C2×#16811178C2semidirect
29. C53×#3503C2semidirect
34. Q8×Dic106C22semidirect
35. #16811351C22semidirect
36. #16811350C22semidirect
37. #16811349C22semidirect
38. #16811348C22semidirect
39. #16811348C22semidirect
43. #16811347C22semidirect
44. #16811347C22semidirect
45. #16811347C22semidirect
47. #16811346C22semidirect
48. #16811345C22semidirect
50. #16811344C22semidirect
54. #16811339C22semidirect
56. #16811338C22semidirect
58. #16811334C22semidirect
59. #16811334C22semidirect
60. #16811333C22semidirect
61. #16811333C22semidirect
64. #16811329C22semidirect
72. #16811321C22semidirect
75. #16811317C22semidirect
78. #16811312C22semidirect
83. #16811308C22semidirect
84. #16811308C22semidirect
85. #16811307C22semidirect
86. #16811307C22semidirect
87. #16811305C22semidirect
88. Q8×D212C22semidirect
93. #16811284C22semidirect
94. #16811283C22semidirect
96. #16811278C22semidirect
98. #16811276C22semidirect
100. #16811253C22semidirect
101. #16811253C22semidirect
103. #16811250C22semidirect
106. #16811247C22semidirect
107. #16811247C22semidirect
109. #16811246C22semidirect
110. #16811246C22semidirect
112. #16811244C22semidirect
113. #16811243C22semidirect
115. #16811234C22semidirect
116. #16811234C22semidirect
117. #16811233C22semidirect
118. #16811232C22semidirect
120. #16811231C22semidirect
121. #16811224C22semidirect
132. #16811180C22semidirect
143. #16811178C22semidirect
144. #16811178C22semidirect
145. #16811178C22semidirect
151. #16811174C22semidirect
153. #16811173C22semidirect
158. C4⋊Q8×D53C22semidirect
163. #16811160C22semidirect
171. #16811155C22semidirect
178. #125×D53C22semidirect
188. #16811105C22semidirect
190. #16811104C22semidirect
193. #16811101C22semidirect
194. #16811099C22semidirect
205. Q82×C53C22semidirect
206. C53×#557C22semidirect
208. C53×#554C22semidirect
210. D4×Q8×C53C22semidirect
212. C53×#544C22semidirect
214. C53×#533C22semidirect
216. C2×C4⋊Q8×C53C22semidirect
936. #3503D53semidirect
956. Q82C2×D53semidirect
962. #557C2×D53semidirect
990. #554C2×D53semidirect
1016. D4×Q8C2×D53semidirect
1032. #544C2×D53semidirect
1079. #533C2×D53semidirect
1091. C2×C4⋊Q8C2×D53semidirect
1140. C53#62838semidirect

Maximal subgroups

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

subgroupindex
#202893562
#202893482
#202892042
#202891992
#202891052
#202891002
#202890132
#202890092
#202887332
#202887272
#202887092
#202887052
#202886962
#202886922
#202886322
#202886282
#202886272
#202886262
#202885992
#202885942
#202885382
#202885272
#202884362
#202884282
#202880122
#202880082
C2×#168111782
C53×#35032
#6283853