Finite Group Databasebeta

← #28293185

Subgroups — #28293185

Order 13568.

7066 conjugacy classes of subgroups.

The subgroup lattice has 1558 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288819C214yesmaximal, complemented
2#20288815C214yesmaximal, complemented
3#20288797C214yesmaximal, complemented
4#20288793C214yesmaximal, complemented
5#20288718C214yesmaximal, complemented
6#20288714C214yesmaximal, complemented
7#20288703C214yesmaximal, complemented
8#20288699C214yesmaximal, complemented
9#20288567C211yesmaximal, characteristic, complemented
10#20288562C214yesmaximal, complemented
11#20288520C211yesmaximal, characteristic, complemented
12#20288481C211yesmaximal, characteristic, complemented
13#20288418C212yesmaximal, complemented
14#20288416C214yesmaximal, complemented
15#20288371C212yesmaximal, complemented
16#20288133C214yesmaximal, complemented
17#20288128C212yesmaximal, complemented
18#20288107C211yesmaximal, characteristic, complemented
19#20288104C211yesmaximal, characteristic, complemented
20#20288097C214yesmaximal, complemented
21#20287926C212yesmaximal, complemented
22C2×#16811102C211yesmaximal, characteristic, complemented
23C53×#3506C211yesmaximal, characteristic, complemented
24C2×#13133264C2212yes—
25C22×#11719947C2211yescharacteristic
26#16811357C2218yescomplemented
27#16811356C2214yescomplemented
28#16811355C2218yescomplemented
29Q8×Dic106C2212yescomplemented
30#16811353C2212yescomplemented
31#16811351C2212yescomplemented
32#16811351C2214yescomplemented
33#16811350C2214yescomplemented
34#16811348C2212yescomplemented
35#16811343C2212yescomplemented
36#16811340C2218yescomplemented
37#16811338C2212yescomplemented
38#16811335C2218yescomplemented
39#16811333C2214yescomplemented
40#16811332C2218yescomplemented
41#16811328C2214yescomplemented
42#16811327C2218yescomplemented
43#16811324C2218yescomplemented
44#16811323C2214yescomplemented
45#16811323C2214yescomplemented
46#16811322C2218yescomplemented
47#16811317C2214yescomplemented
48#16811316C2218yescomplemented
49#16811316C2218yescomplemented
50#16811314C2214yescomplemented
51#16811312C2214yescomplemented
52#16811310C2218yescomplemented
53#16811306C2218yescomplemented
54#16811294C2212yescomplemented
55#16811294C2212yescomplemented
56#16811293C2214yes—
57#16811293C2214yes—
58#16811293C2212yescomplemented
59#16811291C2214yes—
60#16811291C2214yes—
61#16811291C2218yescomplemented
62D4×Dic106C2212yescomplemented
63#16811288C2212yescomplemented
64#16811282C2214yescomplemented
65#16811281C2214yes—
66#16811281C2214yes—
67#16811281C2214yescomplemented
68#16811279C2214yes—
69#16811279C2214yes—
70#16811278C2212yescomplemented
71#16811278C2214yescomplemented
72#16811274C2214yescomplemented
73#16811272C2218yescomplemented
74#16811271C2218yescomplemented
75#16811271C2218yescomplemented
76#16811252C2214yes—
77#16811251C2212yes—
78#16811247C2212yescomplemented
79#16811247C2212yescomplemented
80#16811243C2218yescomplemented
81#16811242C2212yescomplemented
82#16811242C2214yescomplemented
83#16811242C2212yescomplemented
84#16811241C2218yescomplemented
85#16811241C2218yescomplemented
86#16811240C2214yescomplemented
87#16811237C2218yescomplemented
88#16811236C2212yescomplemented
89#16811234C2212yescomplemented
90#16811230C2218yescomplemented
91#16811229C2212yescomplemented
92#16811227C2214yescomplemented
93#16811227C2212yescomplemented
94#16811226C2214yescomplemented
95#16811225C2218yescomplemented
96#16811223C2218yescomplemented
97#16811223C2218yescomplemented
98#16811222C2212yes—
99#16811222C2212yes—
100#16811218C2212yes—
101#16811218C2212yes—
102#16811215C2218yes—
103#16811213C2212yes—
104#16811213C2212yes—
105#16811211C2214yes—
106#16811210C2212yes—
107#16811210C2212yes—
108#16811208C2218yes—
109#16811201C2212yes—
110#16811200C2214yes—
111#16811190C2212yes—
112#16811188C2218yes—
113#16811180C2211yescharacteristic
114#16811175C2214yes—
115#16811173C2211yescharacteristic
116#16811171C2214yescomplemented
117#16811170C2218yescomplemented
118#16811169C2218yescomplemented
119#16811168C2214yes—
120#16811168C2214yescomplemented
121#16811160C2214yescomplemented
122#16811160C2214yescomplemented
123#16811156C2218yescomplemented
124#16811154C2214yescomplemented
125#16811154C2218yescomplemented
126#16811153C2214yescomplemented
127#16811153C2218yescomplemented
128#16811153C2214yescomplemented
129#16811152C2218yescomplemented
130#16811152C2214yescomplemented
131#16811151C2218yescomplemented
132#16811150C2218yescomplemented
133#16811135C2212yes—
134#16811134C2214yes—
135#16811132C2218yes—
136#16811130C2212yes—
137#16811129C2218yes—
138#16811129C2218yes—
139#16811104C2212yes—
140#16811104C2214yescomplemented
141#16811102C2214yes—
142#16811102C2214yes—
143#16811102C2218yes—
144#16811102C2214yes—
145#16811102C2214yes—
146#16811102C2214yescomplemented
147#16811100C2212yes—
148#16811100C2214yescomplemented
149#16811099C2214yescomplemented
150#41×Dic53C2212yes—
151#16811091C2212yes—
152#16811091C2214yescomplemented
153C4×#11719947C2218yes—
154C4×#11719947C2214yescomplemented
155C2×C4×Dic106C2211yescharacteristic
156C2×#13133182C2211yescharacteristic
157C2×#13133182C2214yescomplemented
158C4×Q8×D53C2214yescomplemented
159C2×D4×Dic53C2211yescharacteristic
160C2×C4×C22⋊D53C2212yes—
161C2×#13133177C2212yes—
162C2×#13133174C2211yescharacteristic
163C2×#13133173C2212yes—
164C22×#11719919C2212yes—
165C2×C4⋊C4×D53C2211yescharacteristic
166C53×#559C2214yescomplemented
167C53×#556C2212yescomplemented
168C53×#555C2212yescomplemented
169C53×#553C2214yescomplemented
170C53×#550C2212yescomplemented
171C53×#547C2212yescomplemented
172C53×#538C2214yes—
173C53×#535C2212yes—
174C53×#533C2211yescharacteristic
175C53×#532C2211yescharacteristic
176C53×#525C2214yes—
177C53×#520C2212yes—
178C2×C4×D4×C53C2211yescharacteristic
179#13133264—216no—
180C2×#11719945C2314yes—
181C2×#11719945C2312yes—
182C2×#11719945C2314yes—
183C2×#11719945C2318yes—
184C2×#11719947—28no—
185C2×#11719947C2314yes—
186C2×#11719947C2314yes—
187C2×#11719947C2314yes—
188C2×#11719947C2318yes—
189C2×#11719947C2318yes—
190C22×Dic106C2314yes—
191C22×Dic106C2311yescharacteristic
192C2×Q8×D53C2314yes—
193C22×C22⋊D53C2312yes—
194C23×Dic53C2312yes—
195C23×Dic53C2312yes—
196C22×C4×D53C2311yescharacteristic
197C22×C4×D53C2312yes—
198#13133217C2311yescharacteristic
199#13133217C2314yes—
200#13133217C2311yescharacteristic
201#13133217C2311yescharacteristic
202#13133216C2314yes—
203#13133216C2318yes—
204#13133216C2314yes—
205#13133216C2314yes—
206#13133215C2318yes—
207#13133215C2314yes—
208#13133214C2311yescharacteristic
209#13133213C2314yes—
210#13133213C2318yes—
211#13133213C2318yes—
212#13133213C2314yes—
213#13133212C2314yes—
214#13133212C2314yes—
215#13133212C2314yes—
216#13133212C2314yes—
217#13133212C2314yes—
218#13133212C2314yes—
219#13133211C2318yes—
220#13133210C2314yes—
221#13133210C2318yes—
222#13133210C2318yes—
223#13133210C2318yes—
224#13133210C2318yes—
225#13133210C2314yes—
226#13133209C2318yes—
227#13133209C2314yes—
228#13133209C2312yes—
229#13133208C2314yes—
230#13133208C2314yes—
231#13133208C2314yes—
232#13133207C2314yes—
233#13133207C2318yes—
234#13133207C2318yes—
235#13133207C2318yes—
236#13133207C2318yes—
237#13133207C2314yes—
238#13133206C2314yes—
239#13133206C2314yes—
240#13133205C2312yes—
241#13133204C2314yes—
242#13133204C2318yes—
243#13133203C2318yes—
244#13133203C2318yes—
245#13133203C2318yes—
246#13133203C2314yes—
247#13133203C2318yes—
248#13133203C2314yes—
249#13133203C2318yes—
250#13133202C2314yes—
251#13133202C2314yes—
252#13133202C2318yes—
253#13133202C2314yes—
254#13133202C2314yes—
255#13133201C2314yes—
256#13133201C2318yes—
257#13133201C2314yes—
258#13133201C2314yes—
259#13133200C2318yes—
260#13133200C2318yes—
261#13133199C2318yes—
262#13133199C2318yes—
263#13133199C2318yes—
264#13133199C2318yes—
265#13133198C2314yes—
266#13133198C2318yes—
267#13133198C2314yes—
268#13133198C2318yes—
269#13133198C2314yes—
270#13133197C2312yes—
271#13133197C2312yes—
272#13133196C2318yes—
273#13133196C2314yes—
274#13133196C2314yes—
275#13133196C2312yes—
276#13133196C2312yes—
277#13133195C2318yes—
278#13133195C2318yes—
279#13133195C2318yes—
280#13133194C2314yes—
281#13133194C2318yes—
282#13133194C2318yes—
283#13133194C2318yes—
284#13133194C2318yes—
285#13133194C2318yes—
286#13133194C2314yes—
287#13133193C2314yes—
288#13133193C2312yes—
289#13133193C2312yes—
290#13133193C2314yes—
291#13133193C2314yes—
292#13133192C2312yes—
293#13133192C2312yes—
294#13133192C2314yes—
295#13133192C2314yes—
296#13133191C2314yes—
297#13133191C2314yes—
298#13133191C2312yes—
299#13133191C2312yes—
300#13133190C2318yes—
301#13133190C2318yes—
302#13133190C2318yes—
303#13133190C2318yes—
304#13133190C2318yes—
305#13133189C2318yes—
306#13133189C2318yes—
307#13133189C2318yes—
308#13133189C2318yes—
309#13133189C2318yes—
310#13133189C2314yes—
311#13133189C2318yes—
312#13133189C2318yes—
313#13133189C2318yes—
314#13133189C2314yes—
315#13133188C2312yes—
316#13133188C2314yes—
317#13133188C2314yes—
318#13133188C2314yes—
319#13133188C2312yes—
320#13133188C2318yes—
321#13133187C2314yes—
322#13133186C2318yes—
323#13133185C2314yes—
324Q8×Dic53C2312yes—
325Q8×Dic53C2314yes—
326Q8×Dic53C2312yes—
327C4×Dic106C2314yes—
328C4×Dic106C2314yes—
329C4×Dic106C2312yes—
330C4×Dic106C2312yes—
331C4×Dic106C2312yes—
332C4×Dic106C2312yes—
333C4×Dic106C2312yes—
334C4×Dic106C2318yes—
335C4×Dic106C2318yes—
336C4×Dic106C2312yes—
337#13133182C2314yes—
338#13133182C2314yes—
339#13133182C2318yes—
340#13133182C2318yes—
341#13133182C2314yes—
342#13133182C2314yes—
343#13133182C2318yes—
344#13133182C2314yes—
345#13133182C2312yes—
346#13133182C2312yes—
347#13133182C2314yes—
348C4×D212C2314yes—
349C4×D212C2312yes—
350C4×D212C2314yes—
351C4×D212C2312yes—
352C4×D212C2318yes—
353D4×Dic53C2318yes—
354D4×Dic53C2318yes—
355D4×Dic53C2314yes—
356D4×Dic53C2318yes—
357D4×Dic53C2314yes—
358D4×Dic53C2314yes—
359D4×Dic53C2314yes—
360D4×Dic53C2312yes—
361D4×Dic53C2314yes—
362D4×Dic53C2312yes—
363#13133179C2314yes—
364#13133179C2314yes—
365#13133179C2312yes—
366#13133179C2312yes—
367C4×C22⋊D53C2318yes—
368C4×C22⋊D53C2314yes—
369C4×C22⋊D53C2314yes—
370C4×C22⋊D53C2318yes—
371C4×C22⋊D53C2318yes—
372C4×C22⋊D53C2318yes—
373C4×C22⋊D53C2318yes—
374C4×C22⋊D53C2318yes—
375C4×C22⋊D53C2318yes—
376#13133177C2318yes—
377#13133177C2318yes—
378#13133177C2318yes—
379#13133177C2318yes—
380#13133177C2318yes—
381#13133177C2318yes—
382#13133177C2318yes—
383#13133177C2314yes—
384#13133177C2318yes—
385#13133177C2314yes—
386#13133176C2314yes—
387#13133176C2312yes—
388#13133176C2314yes—
389#13133175C2314yes—
390#13133175C2318yes—
391#13133174C2318yes—
392#13133174C2318yes—
393#13133174C2312yes—
394#13133174C2312yes—
395#13133174C2312yes—
396#13133174C2312yes—
397#13133174C2314yes—
398#13133173C2318yes—
399#13133173C2318yes—
400#13133173C2318yes—
401#13133173C2318yes—
402#13133173C2318yes—
403#13133173C2318yes—
404C2×C4⋊Dic53C2311yescharacteristic
405C2×#11719919C2318yes—
406C2×#11719919C2318yes—
407C2×#11719919C2318yes—
408C2×#11719919C2312yes—
409C2×#11719919C2311yescharacteristic
410C2×#11719919C2312yes—
411C2×#11719919C2312yes—
412C2×#11719919C2311yescharacteristic
413C4⋊C4×D53C2318yes—
414C4⋊C4×D53C2314yes—
415C4⋊C4×D53C2314yes—
416C4⋊C4×D53C2314yes—
417C2×C22⋊Dic53C2312yes—
418C2×#11719921C2311yescharacteristic
419C2×#11719921C2311yescharacteristic
420C2×C4×Dic53C2312yes—
421C2×C4×Dic53C2312yes—
422C2×C4×Dic53C2311yescharacteristic
423C2×C4×Dic53C2318yes—
424C2×C4×Dic53C2314yes—
425C42×D53C2318yes—
426C42×D53C2314yes—
427C2×#41×C53C2312yes—
428C2×#41×C53C2314yes—
429C22×D4×C53C2311yescharacteristic
430C23×C4×C53C2312yes—
431C4⋊Q8×C53C2311yescharacteristic
432C4⋊Q8×C53C2311yescharacteristic
433C4⋊Q8×C53C2311yescharacteristic
434#127×C53C2314yes—
435#127×C53C2311yescharacteristic
436#126×C53C2318yes—
437#125×C53C2312yes—
438#124×C53C2314yes—
439#124×C53C2312yes—
440#124×C53C2318yes—
441#123×C53C2318yes—
442#123×C53C2318yes—
443C22⋊Q8×C53C2312yes—
444C22⋊Q8×C53C2314yes—
445C22⋊Q8×C53C2312yes—
446#121×C53C2314yes—
447#121×C53C2314yes—
448#121×C53C2318yes—
449#121×C53C2312yes—
450#121×C53C2314yes—
451#121×C53C2312yes—
452#120×C53C2318yes—
453C4×Q8×C53C2314yes—
454C4×Q8×C53C2312yes—
455C4×Q8×C53C2312yes—
456C4×D4×C53C2312yes—
457C4×D4×C53C2314yes—
458C4×D4×C53C2312yes—
459C4×D4×C53C2312yes—
460C4×D4×C53C2312yes—
461C4×D4×C53C2312yes—
462C4×D4×C53C2312yes—
463C4×D4×C53C2318yes—
464C4×D4×C53C2318yes—
465#117×C53C2312yes—
466#117×C53C2314yes—
467#117×C53C2314yes—
468C2×C4⋊C4×C53C2314yes—
469C2×C4⋊C4×C53C2311yescharacteristic
470C2×C22⋊C4×C53C2312yes—
471C2×C42×C53C2311yescharacteristic
472C24×C53C2412yes—
473C23×D53C2411yescharacteristic
474#41×C53—28no—
475#41×C53—84no—
476C2×Q8×C53C2412yes—
477C2×Q8×C53C2412yes—
478C2×Q8×C53C2412yes—
479C2×D4×C53—24no—
480C2×D4×C53C2414yes—
481C2×D4×C53C2412yes—
482C2×D4×C53C2412yes—
483C2×D4×C53C2412yes—
484C2×D4×C53C2418yes—
485C2×D4×C53C2412yes—
486C2×D4×C53C2412yes—
487C2×D4×C53C2418yes—
488C22×C4×C53—82no—
489C22×C4×C53C2414yes—
490C22×C4×C53C2411yescharacteristic
491C22×C4×C53C2411yescharacteristic
492C22×C4×C53C2412yes—
493C22×C4×C53C2418yes—
494C22×C4×C53C2414yes—
495C22×C4×C53C2414yes—
496C22×C4×C53C2411yescharacteristic
497C2×C22⋊D53—28no—
498C2×C22⋊D53C2414yes—
499C2×C22⋊D53C2418yes—
500C2×C22⋊D53C2418yes—
501C2×C22⋊D53C2418yes—
502C2×C22⋊D53C2418yes—
503C2×C22⋊D53C2418yes—
504C2×C22⋊D53C2414yes—
505C2×C22⋊D53C2414yes—
506C22×Dic53—28no—
507C22×Dic53—82no—
508C22×Dic53C2418yes—
509C22×Dic53C2411yescharacteristic
510C22×Dic53C2418yes—
511C22×Dic53C2411yescharacteristic
512C22×Dic53C2414yes—
513C22×Dic53C2411yescharacteristic
514C22×Dic53C2412yes—
515C22×Dic53C2414yes—
516C22×Dic53C2418yes—
517C22×Dic53C2412yes—
518Q8×D53—216no—
519#11719947—232no—
520#11719947—216no—
521#11719947—216no—
522#11719947—216no—
523#11719947—88no—
524#11719945—28no—
525#11719945—216no—
526#11719945—84no—
527#11719945—88no—
528C2×D212C2412yes—
529C2×D212C2412yes—
530C2×D212C2414yes—
531C2×D212C2414yes—
532C2×D212C2412yes—
533C2×C4×D53—24no—
534C2×C4×D53—82no—
535C2×C4×D53C2418yes—
536C2×C4×D53C2414yes—
537C2×C4×D53C2412yes—
538C2×C4×D53C2412yes—
539C2×C4×D53C2414yes—
540C2×C4×D53C2414yes—
541C2×C4×D53C2418yes—
542C2×C4×D53C2418yes—
543C2×Dic106—216no—
544C2×Dic106#4118yescomplemented
545C2×Dic106C2412yes—
546C2×Dic106C2418yes—
547C2×Dic106C2412yes—
548C2×Dic106C2418yes—
549C2×Dic106C2412yes—
550C2×Dic106C2412yes—
551C2×Dic106C2412yes—
552C4⋊C4×C53C2412yes—
553C4⋊C4×C53C2412yes—
554C4⋊C4×C53C2412yes—
555C4⋊C4×C53C2418yes—
556C4⋊C4×C53C2412yes—
557C4⋊C4×C53C2412yes—
558C4⋊C4×C53C2412yes—
559C4⋊C4×C53C2414yes—
560C4⋊C4×C53C2412yes—
561C4⋊C4×C53C2414yes—
562C4⋊C4×C53C2412yes—
563C22⋊C4×C53C2414yes—
564C22⋊C4×C53C2414yes—
565C22⋊C4×C53C2414yes—
566C22⋊C4×C53C2418yes—
567C22⋊C4×C53C2418yes—
568C22⋊C4×C53C2414yes—
569C22⋊C4×C53C2418yes—
570C22⋊C4×C53C2414yes—
571C42×C53C2411yescharacteristic
572C42×C53C2411yescharacteristic
573C42×C53C2411yescharacteristic
574C42×C53C2411yescharacteristic
575C42×C53C2418yes—
576C42×C53C2414yes—
577C22⋊Dic53C2418yes—
578C22⋊Dic53C2414yes—
579C22⋊Dic53C2414yes—
580C22⋊Dic53C2414yes—
581C22⋊Dic53C2418yes—
582C22⋊Dic53C2418yes—
583C22⋊Dic53C2414yes—
584C22⋊Dic53C2418yes—
585C22⋊Dic53C2414yes—
586#11719921C2412yes—
587#11719921C2412yes—
588#11719921C2412yes—
589#11719921C2412yes—
590#11719921C2414yes—
591#11719921C2414yes—
592#11719921C2414yes—
593#11719921C2414yes—
594#11719921C2418yes—
595#11719921C2414yes—
596#11719921C2414yes—
597#11719921C2414yes—
598#11719921C2418yes—
599#11719921C2414yes—
600#11719921C2414yes—
601#11719921C2414yes—
602C4⋊Dic53C2412yes—
603C4⋊Dic53C2412yes—
604C4⋊Dic53C2412yes—
605C4⋊Dic53C2414yes—
606C4⋊Dic53C2412yes—
607C4⋊Dic53C2414yes—
608C4⋊Dic53C2412yes—
609C4⋊Dic53C2412yes—
610C4⋊Dic53C2412yes—
611C4⋊Dic53C2414yes—
612C4⋊Dic53C2414yes—
613C4⋊Dic53C2418yes—
614C4⋊Dic53C2412yes—
615#11719919C2418yes—
616#11719919C2418yes—
617#11719919C2418yes—
618#11719919C2418yes—
619#11719919C2412yes—
620#11719919C2412yes—
621#11719919C2414yes—
622#11719919C2414yes—
623#11719919C2414yes—
624#11719919C2412yes—
625#11719919C2412yes—
626#11719919C2418yes—
627#11719919C2414yes—
628#11719919C2418yes—
629#11719919C2418yes—
630#11719919C2414yes—
631#11719919C2414yes—
632#11719919C2418yes—
633#11719919C2414yes—
634#11719919C2414yes—
635C4×Dic53C2412yes—
636C4×Dic53C2414yes—
637C4×Dic53C2418yes—
638C4×Dic53C2414yes—
639C4×Dic53C2414yes—
640C4×Dic53C2418yes—
641C4×Dic53C2412yes—
642C4×Dic53C2414yes—
643C4×Dic53C2414yes—
644C4×Dic53C2414yes—
645C4×Dic53C2418yes—
646C4×Dic53C2418yes—
647C4×Dic53C2414yes—
648C23×C53—24no—
649C23×C53—42no—
650C23×C53—42no—
651C23×C53C2514yes—
652C23×C53C2514yes—
653C23×C53C2511yescharacteristic
654C22×D53—22no—
655C22×D53—41no—
656C22×D53—41no—
657C22×D53C2514yes—
658C22×D53C2512yes—
659Q8×C53—24no—
660Q8×C53—42no—
661Q8×C53—42no—
662D4×C53—28no—
663D4×C53—24no—
664D4×C53—24no—
665D4×C53—24no—
666D4×C53—48no—
667D4×C53—48no—
668D4×C53—42no—
669D4×C53—42no—
670C2×C4×C53—28no—
671C2×C4×C53—42no—
672C2×C4×C53—44no—
673C2×C4×C53—48no—
674C2×C4×C53—41no—
675C2×C4×C53—44no—
676C2×C4×C53—41no—
677C2×C4×C53C2×#4114yes—
678C2×C4×C53C2514yes—
679C2×C4×C53C2514yes—
680C2×C4×C53C2511yescharacteristic
681C2×C4×C53C2511yescharacteristic
682C2×C4×C53C2514yes—
683C2×C4×C53C2514yes—
684C2×C4×C53C2511yescharacteristic
685C2×C4×C53C2511yescharacteristic
686C2×C4×C53C2511yescharacteristic
687C2×C4×C53C2511yescharacteristic
688C22⋊D53—28no—
689C22⋊D53—216no—
690C22⋊D53—216no—
691C22⋊D53—44no—
692C22⋊D53—48no—
693C22⋊D53—48no—
694C22⋊D53—48no—
695C22⋊D53—44no—
696C2×Dic53—22no—
697C2×Dic53—216no—
698C2×Dic53—216no—
699C2×Dic53—42no—
700C2×Dic53—44no—
701C2×Dic53—48no—
702C2×Dic53—41no—
703C2×Dic53—44no—
704C2×Dic53—41no—
705C2×Dic53C2×#4118yes—
706C2×Dic53C2514yes—
707C2×Dic53C2514yes—
708C2×Dic53C2514yes—
709C2×Dic53C2514yes—
710C2×Dic53C2512yes—
711C2×Dic53C2512yes—
712C2×Dic53C2512yes—
713C2×Dic53C2514yes—
714D212—24no—
715D212—44no—
716D212—42no—
717D212—44no—
718D212—42no—
719C4×D53—24no—
720C4×D53—24no—
721C4×D53—28no—
722C4×D53—216no—
723C4×D53—48no—
724C4×D53—44no—
725C4×D53—48no—
726C4×D53—44no—
727Dic106—24no—
728Dic106—216no—
729Dic106—42no—
730Dic106—42no—
731Dic106—48no—
732Dic106C2×#4118yes—
733Dic106C2×#4118yes—
734#62851—531nomaximal, Sylow
735C22×C53—21no—
736C22×C53—21no—
737C22×C53—24no—
738C22×C53—24no—
739C22×C53—24no—
740C22×C53—24no—
741C22×C53—24no—
742C22×C53—24no—
743C22×C53—48no—
744C22×C53C22×#4112yes—
745C22×C53C2611yescharacteristic
746C2×D53—24no—
747C2×D53—22no—
748C2×D53—22no—
749C2×D53—24no—
750C2×D53—24no—
751C2×D53—22no—
752C2×D53—44no—
753C4×C53—24no—
754C4×C53—24no—
755C4×C53—21no—
756C4×C53—24no—
757C4×C53—21no—
758C4×C53—21no—
759C4×C53—24no—
760C4×C53—21no—
761C4×C53C22×#4112yes—
762C4×C53C22×#4112yes—
763Dic53—24no—
764Dic53—22no—
765Dic53—24no—
766Dic53—24no—
767Dic53—22no—
768Dic53—24no—
769Dic53—22no—
770Dic53C22×#4118yes—
771#3524—534no—
772#3524—534no—
773#3522—534no—
774#3522—534no—
775#3517—534no—
776#3517—534no—
777#3516—534no—
778#3516—534no—
779#3506—534no—
780#3506—531no—
781#3506D5311yescharacteristic, complemented
782#3502—531no—
783#3497—531no—
784#3492—534no—
785#3492—532no—
786#3487—532no—
787#3460—532no—
788#3460—534no—
789#3455—534no—
790#3455—531no—
791#3455—531no—
792C4×2−1+4—532no—
793C2×#520—531no—
794C2×C53—22no—
795C2×C53—44no—
796C2×C53—44no—
797C2×C53C23×#4111yescharacteristic
798C2×C53H(7,𝔽2)11yescharacteristic
799C2×C532−1+611yescharacteristic
800D53—44no—
801D53—42no—
802C2×2−1+4—532no—
803C22×#41—531no—
804#559—538no—
805#559—538no—
806#559—534no—
807#559C2×D5314yescomplemented
808Q82—532no—
809Q82—532no—
810#557—532no—
811#557—534no—
812#557—534no—
813#557—532no—
814#556—538no—
815#556—532no—
816#556C2×D5312yescomplemented
817#555—538no—
818#555—532no—
819#555C2×D5312yescomplemented
820#554—538no—
821#554—534no—
822#554—538no—
823#554—534no—
824#553—538no—
825#553—538no—
826#553—538no—
827#553—538no—
828#553—534no—
829#553—534no—
830#553—534no—
831#553C2×D5314yescomplemented
832#552—538no—
833#552—534no—
834#552—538no—
835#552—534no—
836#550—534no—
837#550—534no—
838#550—532no—
839#550—534no—
840#550—534no—
841#550—538no—
842#550—532no—
843#550—532no—
844#550C2×D5312yescomplemented
845D4×Q8—532no—
846D4×Q8—532no—
847#548—534no—
848#548—534no—
849#548—534no—
850#548—534no—
851#548—534no—
852#548—534no—
853#547—538no—
854#547—538no—
855#547—538no—
856#547—534no—
857#547—532no—
858#547—534no—
859#547C2×D5312yescomplemented
860#544—534no—
861#544—532no—
862#542—532no—
863#542—532no—
864#542—532no—
865#542—538no—
866#542—532no—
867#542—534no—
868#542—538no—
869#542—538no—
870#542—538no—
871#542—534no—
872#541—532no—
873#541—538no—
874#541—532no—
875#540—532no—
876#540—534no—
877#540—532no—
878#540—538no—
879#540—538no—
880#540—538no—
881#540—534no—
882#539—532no—
883#539—532no—
884#539—532no—
885#539—532no—
886#539—538no—
887#538—532no—
888#538—532no—
889#538—532no—
890#538—532no—
891#538—538no—
892#538—534no—
893#538C2×D5314yes—
894#537—532no—
895#537—534no—
896#535—532no—
897#535—538no—
898#535C2×D5312yes—
899#533—534no—
900#533—531no—
901#533C2×D5311yescharacteristic
902#532—538no—
903#532—534no—
904#532—534no—
905#532—534no—
906#532—538no—
907#532—531no—
908#532C2×D5311yescharacteristic
909#529—538no—
910#529—538no—
911#529—534no—
912#529—538no—
913#529—538no—
914#529—534no—
915#529—534no—
916#529—534no—
917#529—534no—
918#529—534no—
919#529—538no—
920#529—538no—
921#525—532no—
922#525—534no—
923#525—538no—
924#525—538no—
925#525—538no—
926#525—532no—
927#525C2×D5314yes—
928#520—534no—
929#520—534no—
930#520—534no—
931#520—534no—
932#520—538no—
933#520—534no—
934#520—532no—
935#520—534no—
936#520C2×D5312yes—
937#519—534no—
938#519—532no—
939#519—534no—
940C4×#41—532no—
941C4×#41—538no—
942C4×#41—534no—
943C4×#41—532no—
944C4×#41—534no—
945C2×C4×Q8—534no—
946C2×C4×Q8—531no—
947C2×C4×Q8—534no—
948C2×C4×Q8—531no—
949C2×C4×D4—531no—
950C2×C4×D4—532no—
951C2×C4×D4—532no—
952C2×C4×D4C2×D5311yescharacteristic
953C2×#117—532no—
954C2×#117—531no—
955C22×C4⋊C4—532no—
956C22×C4⋊C4—531no—
957C53#6285111yescharacteristic, complemented, Sylow
9582−1+4—10616no—
959C2×#41—538no—
960C2×#41—534no—
961C2×#41—534no—
962C2×#41—534no—
963C2×#41—538no—
964C2×#41—532no—
965C2×#41—534no—
966C2×#41—534no—
967C2×#41—538no—
968C2×#41—1068no—
969C2×#41C22×D5312yes—
970C2×#41C22×D5314yes—
971C22×Q8—534no—
972C22×Q8—531no—
973C22×Q8—534no—
974C22×D4—532no—
975C22×D4C22×D5311yescharacteristic
976C23×C4—532no—
977C23×C4—532no—
978C23×C4—531no—
979C23×C4—532no—
980C23×C4C22×D5312yes—
981C4⋊Q8—538no—
982C4⋊Q8—534no—
983C4⋊Q8—534no—
984C4⋊Q8—538no—
985C4⋊Q8—534no—
986C4⋊Q8—534no—
987C4⋊Q8—531no—
988C4⋊Q8—534no—
989C4⋊Q8—531no—
990C4⋊Q8—531no—
991C4⋊Q8C22×D5311yescharacteristic
992C4⋊Q8C22×D5311yescharacteristic
993C4⋊Q8C22×D5311yescharacteristic
994#127—538no—
995#127—538no—
996#127—534no—
997#127—534no—
998#127—531no—
999#127C22×D5314yes—
1000#127C22×D5311yescharacteristic
1001#126—534no—
1002#126—534no—
1003#126—534no—
1004#126—534no—
1005#126—534no—
1006#126—534no—
1007#126—538no—
1008#126—538no—
1009#126—534no—
1010#126—538no—
1011#126—534no—
1012#126—538no—
1013#126—538no—
1014#126C22×D5318yes—
1015#125—534no—
1016#125—534no—
1017#125—534no—
1018#125—538no—
1019#125—534no—
1020#125—538no—
1021#125—538no—
1022#125—534no—
1023#125—538no—
1024#125—538no—
1025#125—534no—
1026#125—532no—
1027#125C22×D5312yes—
1028#124—534no—
1029#124—534no—
1030#124—538no—
1031#124—534no—
1032#124—538no—
1033#124—534no—
1034#124—538no—
1035#124—538no—
1036#124—534no—
1037#124—538no—
1038#124—538no—
1039#124—532no—
1040#124C22×D5314yes—
1041#124C22×D5318yes—
1042#124C22×D5312yes—
1043#123—534no—
1044#123—538no—
1045#123—538no—
1046#123—534no—
1047#123—534no—
1048#123—538no—
1049#123—538no—
1050#123—538no—
1051#123—534no—
1052#123—534no—
1053#123—534no—
1054#123—534no—
1055#123—534no—
1056#123—538no—
1057#123—538no—
1058#123—538no—
1059#123—534no—
1060#123—538no—
1061#123—534no—
1062#123—538no—
1063#123C22×D5318yes—
1064#123C22×D5318yes—
1065C22⋊Q8—532no—
1066C22⋊Q8—532no—
1067C22⋊Q8—534no—
1068C22⋊Q8—534no—
1069C22⋊Q8—534no—
1070C22⋊Q8—532no—
1071C22⋊Q8—534no—
1072C22⋊Q8—534no—
1073C22⋊Q8—538no—
1074C22⋊Q8—532no—
1075C22⋊Q8—532no—
1076C22⋊Q8—532no—
1077C22⋊Q8—538no—
1078C22⋊Q8—538no—
1079C22⋊Q8—538no—
1080C22⋊Q8—538no—
1081C22⋊Q8—538no—
1082C22⋊Q8—538no—
1083C22⋊Q8—538no—
1084C22⋊Q8—534no—
1085C22⋊Q8—538no—
1086C22⋊Q8—534no—
1087C22⋊Q8C22×D5312yes—
1088C22⋊Q8C22×D5314yes—
1089C22⋊Q8C22×D5312yes—
1090#121—538no—
1091#121—538no—
1092#121—532no—
1093#121—538no—
1094#121—532no—
1095#121—538no—
1096#121—538no—
1097#121—538no—
1098#121—534no—
1099#121—534no—
1100#121—538no—
1101#121—534no—
1102#121—534no—
1103#121—538no—
1104#121—534no—
1105#121—538no—
1106#121—532no—
1107#121—534no—
1108#121—532no—
1109#121—534no—
1110#121—532no—
1111#121—532no—
1112#121—534no—
1113#121—534no—
1114#121—538no—
1115#121—538no—
1116#121—538no—
1117#121—538no—
1118#121—538no—
1119#121C22×D5312yes—
1120#121C22×D5314yes—
1121#121C22×D5314yes—
1122#121C22×D5318yes—
1123#121C22×D5312yes—
1124#121C22×D5314yes—
1125#120—538no—
1126#120—534no—
1127#120—534no—
1128#120C22×D5318yes—
1129C4×Q8—532no—
1130C4×Q8—532no—
1131C4×Q8—534no—
1132C4×Q8—534no—
1133C4×Q8—534no—
1134C4×Q8—538no—
1135C4×Q8—532no—
1136C4×Q8—534no—
1137C4×Q8—538no—
1138C4×Q8—534no—
1139C4×Q8—532no—
1140C4×Q8—534no—
1141C4×Q8—538no—
1142C4×Q8—534no—
1143C4×Q8—534no—
1144C4×Q8—538no—
1145C4×Q8—532no—
1146C4×Q8—532no—
1147C4×Q8—532no—
1148C4×Q8—532no—
1149C4×Q8—538no—
1150C4×Q8—534no—
1151C4×Q8—532no—
1152C4×Q8—532no—
1153C4×Q8C22×D5314yes—
1154C4×Q8C22×D5312yes—
1155C4×Q8C22×D5312yes—
1156C4×D4—534no—
1157C4×D4—534no—
1158C4×D4—534no—
1159C4×D4—532no—
1160C4×D4—534no—
1161C4×D4—532no—
1162C4×D4—538no—
1163C4×D4—538no—
1164C4×D4—538no—
1165C4×D4—534no—
1166C4×D4—538no—
1167C4×D4—538no—
1168C4×D4—538no—
1169C4×D4—538no—
1170C4×D4—538no—
1171C4×D4—534no—
1172C4×D4—534no—
1173C4×D4—538no—
1174C4×D4—538no—
1175C4×D4—532no—
1176C4×D4—532no—
1177C4×D4—534no—
1178C4×D4—534no—
1179C4×D4—538no—
1180C4×D4—538no—
1181C4×D4—534no—
1182C4×D4—538no—
1183C4×D4—534no—
1184C4×D4—538no—
1185C4×D4—538no—
1186C4×D4—538no—
1187C4×D4—538no—
1188C4×D4—538no—
1189C4×D4—534no—
1190C4×D4—534no—
1191C4×D4—538no—
1192C4×D4—532no—
1193C4×D4—532no—
1194C4×D4C22×D5312yes—
1195C4×D4C22×D5312yes—
1196C4×D4C22×D5312yes—
1197C4×D4C22×D5312yes—
1198C4×D4C22×D5318yes—
1199C4×D4C22×D5314yes—
1200C4×D4C22×D5318yes—
1201C4×D4C22×D5312yes—
1202C4×D4C22×D5312yes—
1203#117—532no—
1204#117—534no—
1205#117—534no—
1206#117—538no—
1207#117—534no—
1208#117—538no—
1209#117—538no—
1210#117—538no—
1211#117—538no—
1212#117—538no—
1213#117—538no—
1214#117—532no—
1215#117—532no—
1216#117—532no—
1217#117—532no—
1218#117—534no—
1219#117—538no—
1220#117—538no—
1221#117C22×D5312yes—
1222#117C22×D5314yes—
1223#117C22×D5314yes—
1224C2×C4⋊C4—531no—
1225C2×C4⋊C4—532no—
1226C2×C4⋊C4—532no—
1227C2×C4⋊C4—532no—
1228C2×C4⋊C4—531no—
1229C2×C4⋊C4—538no—
1230C2×C4⋊C4—538no—
1231C2×C4⋊C4—531no—
1232C2×C4⋊C4—538no—
1233C2×C4⋊C4—534no—
1234C2×C4⋊C4—534no—
1235C2×C4⋊C4—538no—
1236C2×C4⋊C4—534no—
1237C2×C4⋊C4C22×D5311yescharacteristic
1238C2×C4⋊C4C22×D5314yes—
1239C2×C22⋊C4—532no—
1240C2×C22⋊C4—531no—
1241C2×C22⋊C4—531no—
1242C2×C22⋊C4C22×D5312yes—
1243C2×C42—532no—
1244C2×C42—531no—
1245C2×C42—532no—
1246C2×C42—538no—
1247C2×C42—534no—
1248C2×C42—534no—
1249C2×C42—538no—
1250C2×C42C22×D5311yescharacteristic
1251C24—531no—
1252C24C23×D5312yes—
1253#41—28no—
1254#41—84no—
1255#41—10616no—
1256#41—10632no—
1257#41—10616no—
1258#41—10616no—
1259#41—10616no—
1260#41—1068no—
1261#41—4244no—
1262#41—4248no—
1263#41—4248no—
1264C2×Q8—538no—
1265C2×Q8—532no—
1266C2×Q8—532no—
1267C2×Q8—538no—
1268C2×Q8—532no—
1269C2×Q8—532no—
1270C2×Q8—532no—
1271C2×Q8—538no—
1272C2×Q8—10616no—
1273C2×Q8—10616no—
1274C2×Q8C23×D5312yes—
1275C2×Q8C23×D5312yes—
1276C2×Q8C23×D5312yes—
1277C2×D4—24no—
1278C2×D4—534no—
1279C2×D4—538no—
1280C2×D4—538no—
1281C2×D4—534no—
1282C2×D4—538no—
1283C2×D4—534no—
1284C2×D4—538no—
1285C2×D4—538no—
1286C2×D4—532no—
1287C2×D4—534no—
1288C2×D4—532no—
1289C2×D4—534no—
1290C2×D4—532no—
1291C2×D4—1068no—
1292C2×D4C23×D5314yes—
1293C2×D4C23×D5312yes—
1294C2×D4C23×D5312yes—
1295C2×D4C23×D5312yes—
1296C2×D4C23×D5318yes—
1297C2×D4C23×D5312yes—
1298C2×D4C23×D5318yes—
1299C2×D4C23×D5312yes—
1300C22×C4—82no—
1301C22×C4—532no—
1302C22×C4—538no—
1303C22×C4—531no—
1304C22×C4—538no—
1305C22×C4—531no—
1306C22×C4—534no—
1307C22×C4—531no—
1308C22×C4—532no—
1309C22×C4—534no—
1310C22×C4—538no—
1311C22×C4—538no—
1312C22×C4—534no—
1313C22×C4—532no—
1314C22×C4—532no—
1315C22×C4—534no—
1316C22×C4—534no—
1317C22×C4—538no—
1318C22×C4—538no—
1319C22×C4—1068no—
1320C22×C4—1064no—
1321C22×C4—4242no—
1322C22×C4—4242no—
1323C22×C4C23×D5314yes—
1324C22×C4C23×D5311yescharacteristic
1325C22×C4C23×D5312yes—
1326C22×C4C23×D5318yes—
1327C22×C4C23×D5311yescharacteristic
1328C22×C4C23×D5314yes—
1329C22×C4C23×D5314yes—
1330C22×C4C23×D5311yescharacteristic
1331C4⋊C4—538no—
1332C4⋊C4—532no—
1333C4⋊C4—532no—
1334C4⋊C4—538no—
1335C4⋊C4—534no—
1336C4⋊C4—534no—
1337C4⋊C4—532no—
1338C4⋊C4—532no—
1339C4⋊C4—538no—
1340C4⋊C4—532no—
1341C4⋊C4—534no—
1342C4⋊C4—538no—
1343C4⋊C4—534no—
1344C4⋊C4—532no—
1345C4⋊C4—532no—
1346C4⋊C4—538no—
1347C4⋊C4—532no—
1348C4⋊C4—534no—
1349C4⋊C4—534no—
1350C4⋊C4—538no—
1351C4⋊C4—532no—
1352C4⋊C4—538no—
1353C4⋊C4—532no—
1354C4⋊C4—532no—
1355C4⋊C4—534no—
1356C4⋊C4—534no—
1357C4⋊C4—534no—
1358C4⋊C4—534no—
1359C4⋊C4—534no—
1360C4⋊C4—538no—
1361C4⋊C4—538no—
1362C4⋊C4—534no—
1363C4⋊C4—532no—
1364C4⋊C4C23×D5312yes—
1365C4⋊C4C23×D5312yes—
1366C4⋊C4C23×D5318yes—
1367C4⋊C4C23×D5312yes—
1368C4⋊C4C23×D5312yes—
1369C4⋊C4C23×D5312yes—
1370C4⋊C4C23×D5312yes—
1371C4⋊C4C23×D5312yes—
1372C4⋊C4C23×D5314yes—
1373C4⋊C4C23×D5314yes—
1374C4⋊C4C23×D5312yes—
1375C22⋊C4—538no—
1376C22⋊C4—534no—
1377C22⋊C4—534no—
1378C22⋊C4—534no—
1379C22⋊C4—538no—
1380C22⋊C4—538no—
1381C22⋊C4—534no—
1382C22⋊C4—538no—
1383C22⋊C4—534no—
1384C22⋊C4—532no—
1385C22⋊C4—532no—
1386C22⋊C4—532no—
1387C22⋊C4—532no—
1388C22⋊C4—538no—
1389C22⋊C4—534no—
1390C22⋊C4—534no—
1391C22⋊C4—534no—
1392C22⋊C4—534no—
1393C22⋊C4—534no—
1394C22⋊C4—534no—
1395C22⋊C4—534no—
1396C22⋊C4—534no—
1397C22⋊C4—538no—
1398C22⋊C4—534no—
1399C22⋊C4—534no—
1400C22⋊C4C23×D5314yes—
1401C22⋊C4C23×D5314yes—
1402C22⋊C4C23×D5314yes—
1403C22⋊C4C23×D5318yes—
1404C22⋊C4C23×D5318yes—
1405C22⋊C4C23×D5318yes—
1406C22⋊C4C23×D5314yes—
1407C22⋊C4C23×D5314yes—
1408C42—538no—
1409C42—532no—
1410C42—532no—
1411C42—534no—
1412C42—534no—
1413C42—534no—
1414C42—538no—
1415C42—534no—
1416C42—534no—
1417C42—534no—
1418C42—538no—
1419C42—538no—
1420C42—534no—
1421C42C23×D5318yes—
1422C42C23×D5314yes—
1423C42C23×D5311yescharacteristic
1424C42C23×D5311yescharacteristic
1425C42C23×D5311yescharacteristic
1426C42C23×D5311yescharacteristic
1427C23—24no—
1428C23—42no—
1429C23—42no—
1430C23—532no—
1431C23—534no—
1432C23—1062no—
1433C23—2121no—
1434C23—2121no—
1435C23C24×D5314yes—
1436C23C24×D5314yes—
1437C23C24×D5311yescharacteristic
1438Q8—24no—
1439Q8—42no—
1440Q8—42no—
1441Q8—538no—
1442Q8—538no—
1443Q8—10616no—
1444Q8—1064no—
1445Q8—2122no—
1446Q8—2122no—
1447Q8—2128no—
1448D4—28no—
1449D4—24no—
1450D4—24no—
1451D4—24no—
1452D4—42no—
1453D4—48no—
1454D4—42no—
1455D4—48no—
1456D4—10616no—
1457D4—10616no—
1458D4—1068no—
1459D4—1064no—
1460D4—2122no—
1461D4—2124no—
1462D4—2122no—
1463D4—2124no—
1464D4—2124no—
1465D4—2128no—
1466D4—2128no—
1467D4—2128no—
1468D4—2124no—
1469C2×C4—28no—
1470C2×C4—41no—
1471C2×C4—42no—
1472C2×C4—44no—
1473C2×C4—44no—
1474C2×C4—41no—
1475C2×C4—48no—
1476C2×C4—538no—
1477C2×C4—534no—
1478C2×C4—532no—
1479C2×C4—534no—
1480C2×C4—532no—
1481C2×C4—534no—
1482C2×C4—534no—
1483C2×C4—534no—
1484C2×C4—532no—
1485C2×C4—10616no—
1486C2×C4—10616no—
1487C2×C4—10616no—
1488C2×C4—1062no—
1489C2×C4—1064no—
1490C2×C4—1064no—
1491C2×C4—1068no—
1492C2×C4—2124no—
1493C2×C4—2128no—
1494C2×C4—2128no—
1495C2×C4—2124no—
1496C2×C4—2121no—
1497C2×C4—2124no—
1498C2×C4—2121no—
1499C2×C4—2122no—
1500C2×C4—2128no—
1501C2×C4—2124no—
1502C2×C4#41×D5314yes—
1503C2×C4C24×D5311yescharacteristic
1504C2×C4C24×D5311yescharacteristic
1505C2×C4C24×D5314yes—
1506C2×C4C24×D5314yes—
1507C2×C4C24×D5314yes—
1508C2×C4C24×D5314yes—
1509C2×C4C24×D5311yescharacteristic
1510C2×C4C24×D5311yescharacteristic
1511C2×C4C24×D5311yescharacteristic
1512C2×C4C24×D5311yescharacteristic
1513C22—21no—
1514C22—21no—
1515C22—24no—
1516C22—24no—
1517C22—24no—
1518C22—24no—
1519C22—24no—
1520C22—24no—
1521C22—48no—
1522C22—1064no—
1523C22—1062no—
1524C22—1062no—
1525C22—1064no—
1526C22—1064no—
1527C22—1062no—
1528C22—2124no—
1529C22C2×#41×D5312yes—
1530C22C25×D5311yescharacteristic
1531C4—24no—
1532C4—24no—
1533C4—21no—
1534C4—21no—
1535C4—24no—
1536C4—21no—
1537C4—21no—
1538C4—24no—
1539C4—538no—
1540C4—1062no—
1541C4—1064no—
1542C4—1062no—
1543C4—1064no—
1544C4—1064no—
1545C4—1062no—
1546C4—1064no—
1547C4C2×#41×D5312yes—
1548C4C2×#41×D5312yes—
1549C2—22no—
1550C2—44no—
1551C2—44no—
1552C2—2122no—
1553C2—2124no—
1554C2C22×#41×D5311yescharacteristic
1555C2#2028952511yescharacteristic
1556C2#2028952811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3506C2
hypercenter#3506D53
hypocenterC53#62851
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3506

Complements

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

NH ≅ G/Ntype
1. #20288819C2semidirect
2. #20288815C2semidirect
3. #20288797C2semidirect
4. #20288793C2semidirect
5. #20288718C2semidirect
6. #20288714C2semidirect
7. #20288703C2semidirect
8. #20288699C2semidirect
9. #20288567C2semidirect
10. #20288562C2semidirect
11. #20288520C2semidirect
12. #20288481C2semidirect
13. #20288418C2semidirect
14. #20288416C2semidirect
15. #20288371C2semidirect
16. #20288133C2semidirect
17. #20288128C2semidirect
18. #20288107C2semidirect
19. #20288104C2semidirect
20. #20288097C2semidirect
21. #20287926C2semidirect
22. C2×#16811102C2semidirect
23. C53×#3506C2semidirect
26. #16811357C22semidirect
27. #16811356C22semidirect
28. #16811355C22semidirect
29. Q8×Dic106C22semidirect
30. #16811353C22semidirect
31. #16811351C22semidirect
32. #16811351C22semidirect
33. #16811350C22semidirect
34. #16811348C22semidirect
35. #16811343C22semidirect
36. #16811340C22semidirect
37. #16811338C22semidirect
38. #16811335C22semidirect
39. #16811333C22semidirect
40. #16811332C22semidirect
41. #16811328C22semidirect
42. #16811327C22semidirect
43. #16811324C22semidirect
44. #16811323C22semidirect
45. #16811323C22semidirect
46. #16811322C22semidirect
47. #16811317C22semidirect
48. #16811316C22semidirect
49. #16811316C22semidirect
50. #16811314C22semidirect
51. #16811312C22semidirect
52. #16811310C22semidirect
53. #16811306C22semidirect
54. #16811294C22semidirect
55. #16811294C22semidirect
58. #16811293C22semidirect
61. #16811291C22semidirect
62. D4×Dic106C22semidirect
63. #16811288C22semidirect
64. #16811282C22semidirect
67. #16811281C22semidirect
70. #16811278C22semidirect
71. #16811278C22semidirect
72. #16811274C22semidirect
73. #16811272C22semidirect
74. #16811271C22semidirect
75. #16811271C22semidirect
78. #16811247C22semidirect
79. #16811247C22semidirect
80. #16811243C22semidirect
81. #16811242C22semidirect
82. #16811242C22semidirect
83. #16811242C22semidirect
84. #16811241C22semidirect
85. #16811241C22semidirect
86. #16811240C22semidirect
87. #16811237C22semidirect
88. #16811236C22semidirect
89. #16811234C22semidirect
90. #16811230C22semidirect
91. #16811229C22semidirect
92. #16811227C22semidirect
93. #16811227C22semidirect
94. #16811226C22semidirect
95. #16811225C22semidirect
96. #16811223C22semidirect
97. #16811223C22semidirect
116. #16811171C22semidirect
117. #16811170C22semidirect
118. #16811169C22semidirect
120. #16811168C22semidirect
121. #16811160C22semidirect
122. #16811160C22semidirect
123. #16811156C22semidirect
124. #16811154C22semidirect
125. #16811154C22semidirect
126. #16811153C22semidirect
127. #16811153C22semidirect
128. #16811153C22semidirect
129. #16811152C22semidirect
130. #16811152C22semidirect
131. #16811151C22semidirect
132. #16811150C22semidirect
140. #16811104C22semidirect
146. #16811102C22semidirect
148. #16811100C22semidirect
149. #16811099C22semidirect
152. #16811091C22semidirect
154. C4×#11719947C22semidirect
157. C2×#13133182C22semidirect
158. C4×Q8×D53C22semidirect
166. C53×#559C22semidirect
167. C53×#556C22semidirect
168. C53×#555C22semidirect
169. C53×#553C22semidirect
170. C53×#550C22semidirect
171. C53×#547C22semidirect
544. C2×Dic106#41semidirect
781. #3506D53semidirect
807. #559C2×D53semidirect
816. #556C2×D53semidirect
819. #555C2×D53semidirect
831. #553C2×D53semidirect
844. #550C2×D53semidirect
859. #547C2×D53semidirect
957. C53#62851semidirect

Maximal subgroups

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

subgroupindex
#202888192
#202888152
#202887972
#202887932
#202887182
#202887142
#202887032
#202886992
#202885672
#202885622
#202885202
#202884812
#202884182
#202884162
#202883712
#202881332
#202881282
#202881072
#202881042
#202880972
#202879262
C2×#168111022
C53×#35062
#6285153