Finite Group Databasebeta

← #28292791

Subgroups — #28292791

Order 13568.

6538 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289335C214yesmaximal, complemented
2#20289327C214yesmaximal, complemented
3#20289312C214yesmaximal, complemented
4#20289273C214yesmaximal, complemented
5#20289165C214yesmaximal, complemented
6#20289148C214yesmaximal, complemented
7#20288804C214yesmaximal, complemented
8#20288753C214yesmaximal, complemented
9#20288704C214yesmaximal, complemented
10#20288698C214yesmaximal, complemented
11#20288552C212yesmaximal, complemented
12#20288545C212yesmaximal, complemented
13#20288515C212yesmaximal, complemented
14#20288513C212yesmaximal, complemented
15#20288456C214yesmaximal, complemented
16#20288454C214yesmaximal, complemented
17#20288413C211yesmaximal, characteristic, complemented
18#20288411C212yesmaximal, complemented
19C2×#16811176C211yesmaximal, characteristic, complemented
20C2×#16811150C212yesmaximal, complemented
21C53×#3491C211yesmaximal, characteristic, complemented
22C53⋊#564C2214yescomplemented
23#16811377C2214yescomplemented
24#16811376C2214yescomplemented
25#16811375C2214yescomplemented
26#16811375C2214yescomplemented
27#16811374C2214yescomplemented
28#16811374C2214yescomplemented
29#16811370C2214yescomplemented
30#16811351C2214yescomplemented
31#16811350C2214yescomplemented
32#16811350C2214yescomplemented
33#16811346C2214yescomplemented
34#16811342C2214yescomplemented
35#16811341C2214yescomplemented
36#16811341C2214yescomplemented
37#16811340C2214yescomplemented
38#16811340C2214yescomplemented
39#16811340C2214yescomplemented
40#16811332C2214yescomplemented
41#16811332C2214yescomplemented
42#16811332C2214yescomplemented
43#16811332C2214yescomplemented
44#16811331C2214yescomplemented
45#16811331C2214yescomplemented
46#16811330C2214yescomplemented
47#16811330C2214yescomplemented
48#16811327C2214yescomplemented
49#16811327C2214yescomplemented
50#16811327C2214yescomplemented
51#16811327C2214yescomplemented
52#16811325C2214yescomplemented
53#16811322C2214yescomplemented
54#16811322C2214yescomplemented
55#16811319C2214yescomplemented
56#16811316C2214yescomplemented
57#16811316C2214yescomplemented
58#16811315C2214yescomplemented
59#16811313C2214yescomplemented
60#16811311C2214yescomplemented
61#16811311C2214yescomplemented
62#16811310C2214yescomplemented
63#16811310C2214yescomplemented
64#16811310C2214yescomplemented
65#16811310C2214yescomplemented
66#16811309C2214yescomplemented
67#16811309C2214yescomplemented
68#16811309C2214yescomplemented
69#16811308C2214yescomplemented
70#16811308C2214yescomplemented
71#16811306C2214yescomplemented
72#16811306C2214yescomplemented
73#16811306C2214yescomplemented
74#16811306C2214yescomplemented
75#16811306C2214yescomplemented
76#16811304C2214yescomplemented
77#16811299C2214yescomplemented
78#16811299C2214yescomplemented
79#16811299C2214yescomplemented
80#16811297C2214yescomplemented
81#16811297C2214yescomplemented
82#16811297C2214yescomplemented
83#16811296C2214yescomplemented
84#16811296C2214yescomplemented
85#16811296C2214yescomplemented
86D4×Dic106C2214yescomplemented
87D4×Dic106C2214yescomplemented
88#16811286C2214yescomplemented
89#16811286C2214yescomplemented
90#16811286C2214yescomplemented
91#16811282C2214yescomplemented
92#16811282C2214yescomplemented
93#16811281C2214yescomplemented
94#16811279C2214yescomplemented
95#16811271C2214yescomplemented
96#16811263C2214yescomplemented
97#16811260C2214yescomplemented
98#16811253C2214yescomplemented
99#16811252C2214yescomplemented
100#16811252C2214yescomplemented
101#16811251C2214yescomplemented
102#16811249C2211yescharacteristic
103#16811249C2212yes—
104#16811249C2214yescomplemented
105#16811248C2214yescomplemented
106#16811244C2214yescomplemented
107#16811241C2214yescomplemented
108#16811239C2214yescomplemented
109#16811239C2214yescomplemented
110#16811239C2214yescomplemented
111#16811238C2214yescomplemented
112#16811237C2214yescomplemented
113#16811237C2214yescomplemented
114#16811236C2214yescomplemented
115#16811235C2214yescomplemented
116#16811233C2214yescomplemented
117#16811232C2214yescomplemented
118#16811232C2214yescomplemented
119#16811232C2214yescomplemented
120#16811232C2214yescomplemented
121#16811231C2214yescomplemented
122#16811230C2214yescomplemented
123#16811230C2214yescomplemented
124#16811230C2214yescomplemented
125#16811230C2214yescomplemented
126#16811222C2214yescomplemented
127#16811220C2214yescomplemented
128#16811217C2214yes—
129#16811217C2214yescomplemented
130#16811217C2214yescomplemented
131#16811217C2214yescomplemented
132#16811216C2214yescomplemented
133#16811215C2214yes—
134#16811214C2214yescomplemented
135#16811208C2214yes—
136#16811206C2214yes—
137#16811196C2214yescomplemented
138#16811195C2214yescomplemented
139#16811185C2211yescharacteristic
140#16811182C2212yes—
141#16811176C2214yescomplemented
142#16811176C2214yescomplemented
143#16811176C2214yescomplemented
144#16811176C2214yescomplemented
145#16811176C2214yescomplemented
146#16811175C2214yescomplemented
147C2×#13133216C2212yescomplemented
148#16811157C2214yescomplemented
149#16811153C2214yes—
150#16811150C2214yes—
151#16811150C2214yes—
152#16811150C2214yes—
153#16811150C2214yes—
154#16811150C2214yes—
155#16811150C2214yescomplemented
156#16811150C2214yescomplemented
157#16811150C2214yescomplemented
158#16811150C2214yescomplemented
159#16811150C2214yescomplemented
160#16811150C2214yescomplemented
161C2×#13133212C2212yescomplemented
162C2×#13133210C2212yescomplemented
163C2×#13133208C2212yescomplemented
164C2×#13133207C2212yescomplemented
165C2×#13133203C2212yescomplemented
166#16811132C2214yes—
167#16811129C2214yes—
168C2×#13133200C2212yes—
169C2×#13133194C2212yes—
170C2×#13133194C2212yes—
171C2×#13133194C2212yes—
172C2×#13133194C2214yescomplemented
173C22⋊Q8×D53C2214yescomplemented
174C2×#13133189C2212yes—
175#16811103C2214yescomplemented
176#16811102C2214yescomplemented
177#16811100C2214yescomplemented
178#16811099C2214yescomplemented
179#16811098C2212yes—
180#16811096C2212yes—
181#16811096C2212yes—
182C2×C4×Dic106C2212yescomplemented
183C2×C4×Dic106C2212yescomplemented
184C2×#13133182C2212yescomplemented
185C2×D4×Dic53C2212yes—
186C2×#13133177C2212yes—
187C2×#13133177C2212yescomplemented
188C2×#13133176C2211yescharacteristic
189C2×#13133175C2212yescomplemented
190C2×#13133173C2212yescomplemented
191C22×C4×Dic53C2211yescharacteristic
192C53×#552C2214yescomplemented
193C53×#552C2214yescomplemented
194C53×#551C2214yescomplemented
195C53×#551C2214yescomplemented
196C53×#543C2211yescharacteristic
197C53×#539C2214yescomplemented
198C53×#534C2211yescharacteristic
199C53×#529C2214yescomplemented
200C2×#123×C53C2212yes—
201C53×#518C2212yes—
202C2×#117×C53C2211yescharacteristic
203C2×#11719945C2314yes—
204C2×#11719947C2314yes—
205C22×Dic106C2312yes—
206C22×Dic106C2312yes—
207C22×Dic106C2314yes—
208C22×Dic106C2312yes—
209C2×Q8×D53C2314yes—
210C22×C22⋊D53C2312yes—
211C22×C22⋊D53C2312yes—
212C23×Dic53C2312yes—
213C23×Dic53C2312yes—
214C22×C4×D53C2312yes—
215#13133217C2314yes—
216#13133217C2314yes—
217#13133216C2314yes—
218#13133216C2314yes—
219#13133216C2314yes—
220#13133216C2314yes—
221#13133216C2314yes—
222#13133216C2314yes—
223#13133216C2314yes—
224#13133216C2314yes—
225#13133216C2314yes—
226#13133216C2314yes—
227#13133216C2314yes—
228#13133215C2314yes—
229#13133215C2314yes—
230#13133215C2314yes—
231#13133212C2314yes—
232#13133212C2314yes—
233#13133212C2314yes—
234#13133212C2314yes—
235#13133212C2314yes—
236#13133212C2314yes—
237#13133212C2314yes—
238#13133212C2314yes—
239#13133212C2314yes—
240#13133212C2314yes—
241#13133212C2314yes—
242#13133212C2314yes—
243#13133212C2314yes—
244#13133212C2314yes—
245#13133211C2314yes—
246#13133211C2314yes—
247#13133211C2314yes—
248#13133211C2314yes—
249#13133210C2314yes—
250#13133210C2314yes—
251#13133210C2314yes—
252#13133210C2314yes—
253#13133210C2314yes—
254#13133210C2314yes—
255#13133210C2314yes—
256#13133210C2314yes—
257#13133210C2314yes—
258#13133210C2314yes—
259#13133210C2314yes—
260#13133210C2314yes—
261#13133210C2314yes—
262#13133210C2314yes—
263#13133209C2314yes—
264#13133209C2314yes—
265#13133209C2314yes—
266#13133209C2314yes—
267#13133208C2314yes—
268#13133208C2314yes—
269#13133208C2314yes—
270#13133208C2314yes—
271#13133208C2314yes—
272#13133208C2314yes—
273#13133208C2314yes—
274#13133208C2314yes—
275#13133208C2314yes—
276#13133208C2314yes—
277#13133208C2314yes—
278#13133207C2314yes—
279#13133207C2314yes—
280#13133207C2314yes—
281#13133207C2314yes—
282#13133207C2314yes—
283#13133207C2314yes—
284#13133207C2314yes—
285#13133207C2314yes—
286#13133207C2314yes—
287#13133207C2314yes—
288#13133207C2314yes—
289#13133207C2314yes—
290#13133207C2314yes—
291#13133207C2314yes—
292#13133207C2314yes—
293#13133207C2314yes—
294#13133207C2314yes—
295#13133207C2314yes—
296#13133207C2314yes—
297#13133207C2314yes—
298#13133205C2314yes—
299#13133205C2314yes—
300#13133204C2314yes—
301#13133203C2314yes—
302#13133203C2314yes—
303#13133203C2314yes—
304#13133203C2314yes—
305#13133203C2314yes—
306#13133203C2314yes—
307#13133203C2314yes—
308#13133203C2314yes—
309#13133203C2314yes—
310#13133203C2314yes—
311#13133202C2314yes—
312#13133202C2314yes—
313#13133202C2314yes—
314#13133202C2314yes—
315#13133201C2314yes—
316#13133201C2314yes—
317#13133201C2314yes—
318#13133201C2314yes—
319#13133201C2314yes—
320#13133200C2314yes—
321#13133200C2314yes—
322#13133200C2314yes—
323#13133200C2314yes—
324#13133200C2314yes—
325#13133200C2314yes—
326#13133200C2314yes—
327#13133199C2314yes—
328#13133199C2314yes—
329#13133199C2314yes—
330#13133199C2314yes—
331#13133199C2314yes—
332#13133199C2314yes—
333#13133198C2314yes—
334#13133198C2314yes—
335#13133198C2314yes—
336#13133197C2314yes—
337#13133197C2314yes—
338#13133197C2314yes—
339#13133197C2314yes—
340#13133197C2314yes—
341#13133197C2314yes—
342#13133196C2314yes—
343#13133196C2314yes—
344#13133196C2314yes—
345#13133196C2314yes—
346#13133196C2314yes—
347#13133196C2314yes—
348#13133196C2314yes—
349#13133196C2314yes—
350#13133195C2314yes—
351#13133195C2314yes—
352#13133195C2314yes—
353#13133195C2314yes—
354#13133195C2314yes—
355#13133195C2314yes—
356#13133195C2314yes—
357#13133195C2314yes—
358#13133195C2314yes—
359#13133195C2314yes—
360#13133194C2314yes—
361#13133194C2314yes—
362#13133194C2314yes—
363#13133194C2314yes—
364#13133194C2314yes—
365#13133194C2314yes—
366#13133194C2314yes—
367#13133194C2314yes—
368#13133194C2314yes—
369#13133194C2314yes—
370#13133194C2314yes—
371#13133194C2314yes—
372#13133194C2314yes—
373#13133194C2314yes—
374#13133194C2314yes—
375#13133194C2314yes—
376#13133194C2314yes—
377#13133194C2314yes—
378#13133194C2314yes—
379#13133194C2314yes—
380#13133194C2314yes—
381#13133194C2314yes—
382#13133194C2314yes—
383#13133194C2314yes—
384#13133194C2314yes—
385#13133194C2314yes—
386#13133194C2314yes—
387#13133194C2314yes—
388#13133194C2314yes—
389#13133194C2314yes—
390#13133193C2314yes—
391#13133193C2314yes—
392#13133193C2314yes—
393#13133191C2314yes—
394#13133191C2314yes—
395#13133190C2314yes—
396#13133190C2314yes—
397#13133189C2314yes—
398#13133189C2314yes—
399#13133189C2314yes—
400#13133189C2314yes—
401#13133189C2314yes—
402#13133189C2314yes—
403#13133189C2314yes—
404#13133189C2314yes—
405#13133188C2314yes—
406#13133187C2314yes—
407#13133186C2314yes—
408#13133185C2314yes—
409Q8×Dic53C2314yes—
410C4×Dic106C2314yes—
411C4×Dic106C2314yes—
412C4×Dic106C2314yes—
413C4×Dic106C2314yes—
414C4×Dic106C2314yes—
415C4×Dic106C2314yes—
416C4×Dic106C2314yes—
417C4×Dic106C2314yes—
418C4×Dic106C2314yes—
419C4×Dic106C2314yes—
420C4×Dic106C2314yes—
421C4×Dic106C2314yes—
422C4×Dic106C2314yes—
423C4×Dic106C2314yes—
424#13133182C2314yes—
425#13133182C2314yes—
426#13133182C2314yes—
427#13133182C2314yes—
428#13133182C2314yes—
429#13133182C2314yes—
430#13133182C2314yes—
431#13133182C2314yes—
432#13133182C2314yes—
433#13133182C2314yes—
434C4×D212C2314yes—
435C4×D212C2314yes—
436D4×Dic53C2314yes—
437D4×Dic53C2314yes—
438D4×Dic53C2314yes—
439D4×Dic53C2314yes—
440D4×Dic53C2314yes—
441D4×Dic53C2314yes—
442D4×Dic53C2314yes—
443D4×Dic53C2314yes—
444D4×Dic53C2314yes—
445C4×C22⋊D53C2314yes—
446C4×C22⋊D53C2314yes—
447C4×C22⋊D53C2314yes—
448C4×C22⋊D53C2314yes—
449C4×C22⋊D53C2314yes—
450C4×C22⋊D53C2314yes—
451#13133177C2314yes—
452#13133177C2314yes—
453#13133177C2314yes—
454#13133177C2314yes—
455#13133177C2314yes—
456#13133177C2314yes—
457#13133177C2314yes—
458#13133177C2314yes—
459#13133177C2314yes—
460#13133177C2314yes—
461#13133177C2314yes—
462#13133177C2314yes—
463#13133177C2314yes—
464#13133177C2314yes—
465#13133177C2314yes—
466#13133177C2314yes—
467#13133176C2314yes—
468#13133176C2314yes—
469#13133176C2314yes—
470#13133176C2314yes—
471#13133175C2314yes—
472#13133175C2314yes—
473#13133175C2314yes—
474#13133175C2314yes—
475#13133175C2314yes—
476#13133175C2314yes—
477#13133175C2314yes—
478#13133174C2314yes—
479#13133174C2314yes—
480#13133174C2314yes—
481#13133174C2314yes—
482#13133173C2314yes—
483#13133173C2314yes—
484#13133173C2314yes—
485#13133173C2314yes—
486#13133173C2314yes—
487#13133173C2314yes—
488#13133173C2314yes—
489#13133173C2314yes—
490#13133173C2314yes—
491#13133173C2314yes—
492C2×C4⋊Dic53C2314yes—
493C2×C4⋊Dic53C2312yes—
494C2×C4⋊Dic53C2312yes—
495C2×C4⋊Dic53C2312yes—
496C2×C4⋊Dic53C2312yes—
497C2×C4⋊Dic53C2312yes—
498C2×#11719919C2314yes—
499C2×#11719919C2312yes—
500C2×#11719919C2312yes—
501C2×#11719919C2312yes—
502C2×#11719919C2314yes—
503C2×#11719919C2312yes—
504C2×#11719919C2312yes—
505C2×#11719919C2312yes—
506C2×#11719919C2312yes—
507C2×#11719919C2312yes—
508C2×#11719919C2312yes—
509C2×#11719919C2312yes—
510C4⋊C4×D53C2314yes—
511C4⋊C4×D53C2314yes—
512C4⋊C4×D53C2314yes—
513C2×C22⋊Dic53C2312yes—
514C2×C22⋊Dic53C2314yes—
515C2×C22⋊Dic53C2312yes—
516C2×C22⋊Dic53C2312yes—
517C2×C22⋊Dic53C2312yes—
518C2×#11719921C2312yes—
519C2×#11719921C2312yes—
520C2×#11719921C2312yes—
521C2×#11719921C2312yes—
522C22⋊C4×D53C2314yes—
523C22⋊C4×D53C2314yes—
524C2×C4×Dic53C2312yes—
525C2×C4×Dic53C2312yes—
526C2×C4×Dic53C2312yes—
527C2×C4×Dic53C2312yes—
528C2×C4×Dic53C2311yescharacteristic
529C2×C4×Dic53C2312yes—
530C2×C4×Dic53C2311yescharacteristic
531C2×C4×Dic53C2312yes—
532C2×C4×Dic53C2312yes—
533C2×C4×Dic53C2311yescharacteristic
534C2×C4×Dic53C2311yescharacteristic
535C22×D4×C53C2312yes—
536C23×C4×C53C2311yescharacteristic
537#126×C53C2314yes—
538#126×C53C2314yes—
539#126×C53C2314yes—
540#126×C53C2314yes—
541#125×C53C2314yes—
542#125×C53C2314yes—
543#125×C53C2314yes—
544#124×C53C2314yes—
545#123×C53C2314yes—
546#123×C53C2314yes—
547#123×C53C2314yes—
548#123×C53C2314yes—
549#123×C53C2314yes—
550#123×C53C2314yes—
551#123×C53C2314yes—
552C22⋊Q8×C53C2314yes—
553C22⋊Q8×C53C2314yes—
554C22⋊Q8×C53C2314yes—
555C22⋊Q8×C53C2314yes—
556C22⋊Q8×C53C2314yes—
557#121×C53C2314yes—
558#120×C53C2314yes—
559C4×Q8×C53C2314yes—
560C4×D4×C53C2314yes—
561C4×D4×C53C2314yes—
562C4×D4×C53C2314yes—
563C4×D4×C53C2314yes—
564C4×D4×C53C2314yes—
565#117×C53C2314yes—
566#117×C53C2314yes—
567#117×C53C2314yes—
568#117×C53C2314yes—
569#117×C53C2314yes—
570C2×C4⋊C4×C53C2312yes—
571C2×C4⋊C4×C53C2312yes—
572C2×C4⋊C4×C53C2312yes—
573C2×C22⋊C4×C53C2311yescharacteristic
574C2×C22⋊C4×C53C2311yescharacteristic
575C2×C22⋊C4×C53C2314yes—
576C2×C22⋊C4×C53C2312yes—
577C2×C22⋊C4×C53C2312yes—
578C2×C22⋊C4×C53C2312yes—
579C2×C42×C53C2312yes—
580C24×C53C2412yes—
581C24×C53C2411yescharacteristic
582C23×D53C2412yes—
583C2×Q8×C53C2414yes—
584C2×D4×C53—28no—
585C2×D4×C53C2414yes—
586C2×D4×C53C2414yes—
587C2×D4×C53C2414yes—
588C22×C4×C53—24no—
589C22×C4×C53C2411yescharacteristic
590C22×C4×C53C2412yes—
591C22×C4×C53C2412yes—
592C22×C4×C53C2412yes—
593C22×C4×C53C2411yescharacteristic
594C22×C4×C53C2412yes—
595C22×C4×C53C2412yes—
596C22×C4×C53C2412yes—
597C22×C4×C53C2412yes—
598C22×C4×C53C2414yes—
599C22×C4×C53C2414yes—
600C2×C22⋊D53—28no—
601C2×C22⋊D53—44no—
602C2×C22⋊D53C2414yes—
603C2×C22⋊D53C2414yes—
604C2×C22⋊D53C2414yes—
605C2×C22⋊D53C2414yes—
606C2×C22⋊D53C2414yes—
607C2×C22⋊D53C2414yes—
608C22×Dic53—44no—
609C22×Dic53—44no—
610C22×Dic53C2412yes—
611C22×Dic53C2412yes—
612C22×Dic53C2412yes—
613C22×Dic53C2412yes—
614C22×Dic53C2414yes—
615C22×Dic53C2412yes—
616C22×Dic53C2412yes—
617C22×Dic53C2412yes—
618C22×Dic53C2412yes—
619C22×Dic53C2412yes—
620C22×Dic53C2412yes—
621C22×Dic53C2412yes—
622C22×Dic53C2414yes—
623C22×Dic53C2414yes—
624C22×Dic53C2414yes—
625Q8×D53—48no—
626#11719947—48no—
627#11719945—48no—
628C2×D212C2414yes—
629C2×C4×D53—44no—
630C2×C4×D53C2414yes—
631C2×C4×D53C2414yes—
632C2×C4×D53C2414yes—
633C2×C4×D53C2414yes—
634C2×C4×D53C2414yes—
635C2×C4×D53C2414yes—
636C2×Dic106—44no—
637C2×Dic106—48no—
638C2×Dic106—44no—
639C2×Dic106—44no—
640C2×Dic106C2414yes—
641C2×Dic106C2414yes—
642C2×Dic106C2414yes—
643C2×Dic106C2414yes—
644C2×Dic106C2414yes—
645C2×Dic106C2414yes—
646C2×Dic106C2414yes—
647C2×Dic106C2414yes—
648C2×Dic106C2414yes—
649C4⋊C4×C53C2414yes—
650C4⋊C4×C53C2414yes—
651C4⋊C4×C53C2414yes—
652C4⋊C4×C53C2414yes—
653C4⋊C4×C53C2414yes—
654C4⋊C4×C53C2414yes—
655C4⋊C4×C53C2414yes—
656C4⋊C4×C53C2414yes—
657C4⋊C4×C53C2414yes—
658C4⋊C4×C53C2414yes—
659C4⋊C4×C53C2414yes—
660C4⋊C4×C53C2414yes—
661C22⋊C4×C53C2414yes—
662C22⋊C4×C53C2414yes—
663C22⋊C4×C53C2414yes—
664C22⋊C4×C53C2414yes—
665C22⋊C4×C53C2414yes—
666C22⋊C4×C53C2414yes—
667C22⋊C4×C53C2414yes—
668C22⋊C4×C53C2414yes—
669C22⋊C4×C53C2414yes—
670C22⋊C4×C53C2414yes—
671C22⋊C4×C53C2414yes—
672C22⋊C4×C53C2414yes—
673C42×C53C2414yes—
674C42×C53C2414yes—
675C42×C53C2414yes—
676C42×C53C2414yes—
677C22⋊Dic53C2414yes—
678C22⋊Dic53C2414yes—
679C22⋊Dic53C2414yes—
680C22⋊Dic53C2414yes—
681C22⋊Dic53C2414yes—
682C22⋊Dic53C2414yes—
683C22⋊Dic53C2414yes—
684C22⋊Dic53C2414yes—
685C22⋊Dic53C2414yes—
686C22⋊Dic53C2414yes—
687C22⋊Dic53C2414yes—
688C22⋊Dic53C2414yes—
689#11719921C2414yes—
690#11719921C2414yes—
691#11719921C2414yes—
692#11719921C2414yes—
693#11719921C2414yes—
694#11719921C2414yes—
695#11719921C2414yes—
696#11719921C2414yes—
697#11719921C2414yes—
698#11719921C2414yes—
699#11719921C2414yes—
700#11719921C2414yes—
701#11719921C2414yes—
702#11719921C2414yes—
703#11719921C2414yes—
704#11719921C2414yes—
705C4⋊Dic53C2414yes—
706C4⋊Dic53C2414yes—
707C4⋊Dic53C2414yes—
708C4⋊Dic53C2414yes—
709C4⋊Dic53C2414yes—
710C4⋊Dic53C2414yes—
711C4⋊Dic53C2414yes—
712C4⋊Dic53C2414yes—
713C4⋊Dic53C2414yes—
714C4⋊Dic53C2414yes—
715C4⋊Dic53C2414yes—
716C4⋊Dic53C2414yes—
717C4⋊Dic53C2414yes—
718C4⋊Dic53C2414yes—
719C4⋊Dic53C2414yes—
720C4⋊Dic53C2414yes—
721#11719919C2414yes—
722#11719919C2414yes—
723#11719919C2414yes—
724#11719919C2414yes—
725#11719919C2414yes—
726#11719919C2414yes—
727#11719919C2414yes—
728#11719919C2414yes—
729#11719919C2414yes—
730#11719919C2414yes—
731#11719919C2414yes—
732#11719919C2414yes—
733#11719919C2414yes—
734#11719919C2414yes—
735#11719919C2414yes—
736#11719919C2414yes—
737#11719919C2414yes—
738#11719919C2414yes—
739#11719919C2414yes—
740#11719919C2414yes—
741#11719919C2414yes—
742#11719919C2414yes—
743#11719919C2414yes—
744#11719919C2414yes—
745#11719919C2414yes—
746#11719919C2414yes—
747#11719919C2414yes—
748#11719919C2414yes—
749#11719919C2414yes—
750#11719919C2414yes—
751#11719919C2414yes—
752#11719919C2414yes—
753C4×Dic53C2411yescharacteristic
754C4×Dic53C2412yes—
755C4×Dic53C2412yes—
756C4×Dic53C2412yes—
757C4×Dic53C2411yescharacteristic
758C4×Dic53C2412yes—
759C4×Dic53C2412yes—
760C4×Dic53C2412yes—
761C4×Dic53C2411yescharacteristic
762C4×Dic53C2411yescharacteristic
763C4×Dic53C2414yes—
764C4×Dic53C2414yes—
765C4×Dic53C2414yes—
766C4×Dic53C2414yes—
767C4×Dic53C2414yes—
768C4×Dic53C2414yes—
769C4×Dic53C2414yes—
770C4×Dic53C2414yes—
771C4×Dic53C2414yes—
772C4×Dic53C2414yes—
773C4×Dic53C2414yes—
774C4×Dic53C2414yes—
775C23×C53—24no—
776C23×C53—42no—
777C23×C53—42no—
778C23×C53—42no—
779C23×C532−1+414yes—
780C23×C53C2514yes—
781C23×C53C2511yescharacteristic
782C23×C53C2512yes—
783C22×D53—24no—
784C22×D53—42no—
785C22×D53—42no—
786C22×D53C2514yes—
787Q8×C53—44no—
788D4×C53—28no—
789D4×C53—28no—
790D4×C53—44no—
791C2×C4×C53—24no—
792C2×C4×C53—24no—
793C2×C4×C53—22no—
794C2×C4×C53—22no—
795C2×C4×C53—24no—
796C2×C4×C53—42no—
797C2×C4×C53—44no—
798C2×C4×C53—42no—
799C2×C4×C53—42no—
800C2×C4×C53—42no—
801C2×C4×C53—44no—
802C2×C4×C53C2514yes—
803C2×C4×C53C2514yes—
804C2×C4×C53C2514yes—
805C2×C4×C53C2514yes—
806C2×C4×C53C2512yes—
807C2×C4×C53C2511yescharacteristic
808C2×C4×C53C2511yescharacteristic
809C2×C4×C53C2514yes—
810C22⋊D53—28no—
811C22⋊D53—28no—
812C22⋊D53—28no—
813C22⋊D53—44no—
814C22⋊D53—44no—
815C22⋊D53—44no—
816C2×Dic53—24no—
817C2×Dic53—24no—
818C2×Dic53—28no—
819C2×Dic53—24no—
820C2×Dic53—24no—
821C2×Dic53—42no—
822C2×Dic53—44no—
823C2×Dic53—42no—
824C2×Dic53—42no—
825C2×Dic53—44no—
826C2×Dic53—42no—
827C2×Dic53—42no—
828C2×Dic53—42no—
829C2×Dic53—44no—
830C2×Dic53—42no—
831C2×Dic53C2514yes—
832C2×Dic53C2512yes—
833C2×Dic53C2514yes—
834C2×Dic53C2514yes—
835C2×Dic53C2514yes—
836C2×Dic53C2512yes—
837C2×Dic53C2512yes—
838C2×Dic53C2514yes—
839C2×Dic53C2512yes—
840D212—44no—
841C4×D53—28no—
842C4×D53—44no—
843C4×D53—44no—
844C4×D53—44no—
845C4×D53—44no—
846C4×D53—44no—
847Dic106—28no—
848Dic106—28no—
849Dic106—28no—
850Dic106—44no—
851Dic106—44no—
852Dic106—44no—
853Dic106—44no—
854Dic106—44no—
855Dic106—44no—
856#62823—531nomaximal, Sylow
857C22×C53—22no—
858C22×C53—22no—
859C22×C53—22no—
860C22×C53—24no—
861C22×C53—24no—
862C22×C53—24no—
863C22×C53—44no—
864C22×C53—84no—
865C22×C53C2×2−1+414yes—
866C22×C53C2×2−1+412yes—
867C22×C53C2611yescharacteristic
868C2×D53—24no—
869C2×D53—24no—
870C2×D53—24no—
871C2×D53—84no—
872C4×C53—22no—
873C4×C53—21no—
874C4×C53—21no—
875C4×C53—24no—
876C4×C53—24no—
877C4×C53—24no—
878C4×C53—24no—
879C4×C53—24no—
880Dic53—24no—
881Dic53—24no—
882Dic53—24no—
883Dic53—24no—
884Dic53—22no—
885Dic53—24no—
886Dic53—22no—
887Dic53—22no—
888Dic53#58514yes—
889#3564—534no—
890#3564—534no—
891#3563—534no—
892#3561—534no—
893#3553—534no—
894#3552—534no—
895#3523—534no—
896#3520—534no—
897#3516—534no—
898#3516—534no—
899#3505—532no—
900#3505—532no—
901#3501—532no—
902#3501—532no—
903#3495—534no—
904#3495—534no—
905#3491—532no—
906#3491—531no—
907#3491D5311yescharacteristic, complemented
908C2×#533—531no—
909C2×#529—532no—
910C2×C53—24no—
911C2×C53—22no—
912C2×C53—44no—
913C2×C53C22×2−1+411yescharacteristic
914C2×C53C2×#58512yes—
915D53—44no—
916#564—534no—
917#563—534no—
918#563—534no—
919#563—534no—
920#563—534no—
921#563—534no—
922#563—534no—
923#562—534no—
924#557—534no—
925#557—534no—
926#557—534no—
927#556—534no—
928#556—534no—
929#556—534no—
930#556—534no—
931#556—534no—
932#556—534no—
933#556—534no—
934#554—534no—
935#554—534no—
936#554—534no—
937#554—534no—
938#554—534no—
939#554—534no—
940#554—534no—
941#554—534no—
942#554—534no—
943#554—534no—
944#554—534no—
945#554—534no—
946#553—534no—
947#553—534no—
948#553—534no—
949#553—534no—
950#553—534no—
951#553—534no—
952#552—534no—
953#552—534no—
954#552—534no—
955#552—534no—
956#552—534no—
957#552—534no—
958#552—534no—
959#552—534no—
960#552—534no—
961#552—534no—
962#552—534no—
963#552—534no—
964#552—534no—
965#552—534no—
966#552—534no—
967#552—534no—
968#552—534no—
969#552—534no—
970#552C2×D5314yescomplemented
971#552C2×D5314yescomplemented
972#551—534no—
973#551—534no—
974#551—534no—
975#551—534no—
976#551—534no—
977#551—534no—
978#551—534no—
979#551—534no—
980#551—534no—
981#551—534no—
982#551C2×D5314yescomplemented
983#551C2×D5314yescomplemented
984D4×Q8—534no—
985D4×Q8—534no—
986D4×Q8—534no—
987D4×Q8—534no—
988D4×Q8—534no—
989#548—534no—
990#548—534no—
991#548—534no—
992#548—534no—
993#547—534no—
994#546—534no—
995#546—534no—
996#544—534no—
997#544—534no—
998#544—534no—
999#544—534no—
1000#543—534no—
1001#543—532no—
1002#543—531no—
1003#543—534no—
1004#543C2×D5311yescharacteristic
1005#542—534no—
1006#542—534no—
1007#542—534no—
1008#542—534no—
1009#542—534no—
1010#542—534no—
1011#542—534no—
1012#542—534no—
1013#541—534no—
1014#541—534no—
1015#541—534no—
1016#541—534no—
1017#541—534no—
1018#541—534no—
1019#541—534no—
1020#541—534no—
1021#541—534no—
1022#541—534no—
1023#541—534no—
1024#541—534no—
1025#539—534no—
1026#539—534no—
1027#539—534no—
1028#539—534no—
1029#539—534no—
1030#539—534no—
1031#539—534no—
1032#539—534no—
1033#539—534no—
1034#539C2×D5314yescomplemented
1035#538—534no—
1036#538—534no—
1037#536—534no—
1038#536—534no—
1039#534—532no—
1040#534—531no—
1041#534C2×D5311yescharacteristic
1042#533—534no—
1043#533—534no—
1044#533—534no—
1045#533—534no—
1046#533—534no—
1047#533—534no—
1048C2×C4⋊Q8—532no—
1049#529—534no—
1050#529—534no—
1051#529—534no—
1052#529—534no—
1053#529—534no—
1054#529—534no—
1055#529—534no—
1056#529—534no—
1057#529—534no—
1058#529—534no—
1059#529—534no—
1060#529—534no—
1061#529—534no—
1062#529C2×D5314yescomplemented
1063C2×#126—532no—
1064C2×#126—532no—
1065C2×#125—532no—
1066C2×#125—532no—
1067C2×#124—532no—
1068#525—534no—
1069#525—534no—
1070C2×#123—532no—
1071C2×#123C2×D5312yes—
1072C2×C22⋊Q8—534no—
1073C2×C22⋊Q8—532no—
1074C2×C22⋊Q8—532no—
1075C2×C22⋊Q8—532no—
1076C2×C22⋊Q8—534no—
1077C2×#121—532no—
1078#520—534no—
1079#520—534no—
1080#519—534no—
1081#519—534no—
1082#518—532no—
1083#518—532no—
1084#518—532no—
1085#518C2×D5312yes—
1086C2×C4×Q8—532no—
1087C2×C4×Q8—532no—
1088C2×C4×Q8—532no—
1089C2×C4×D4—532no—
1090C2×C4×D4—532no—
1091C2×C4×D4—532no—
1092C2×#117—531no—
1093C2×#117—532no—
1094C2×#117—532no—
1095C2×#117C2×D5311yescharacteristic
1096C22×C42—531no—
1097C53#6282311yescharacteristic, complemented, Sylow
1098C2×#41—534no—
1099C2×#41—534no—
1100C22×Q8—534no—
1101C22×Q8—532no—
1102C22×Q8—532no—
1103C22×Q8—532no—
1104C22×Q8—534no—
1105C22×D4—532no—
1106C22×D4—532no—
1107C22×D4C22×D5312yes—
1108C23×C4—532no—
1109C23×C4—532no—
1110C23×C4—532no—
1111C23×C4C22×D5311yescharacteristic
1112C4⋊Q8—534no—
1113C4⋊Q8—534no—
1114C4⋊Q8—534no—
1115C4⋊Q8—534no—
1116C4⋊Q8—534no—
1117C4⋊Q8—534no—
1118C4⋊Q8—534no—
1119C4⋊Q8—534no—
1120C4⋊Q8—534no—
1121C4⋊Q8—534no—
1122C4⋊Q8—534no—
1123C4⋊Q8—534no—
1124C4⋊Q8—534no—
1125C4⋊Q8—534no—
1126C4⋊Q8—534no—
1127C4⋊Q8—534no—
1128#126—534no—
1129#126—534no—
1130#126—534no—
1131#126—534no—
1132#126—534no—
1133#126—534no—
1134#126—534no—
1135#126—534no—
1136#126—534no—
1137#126—534no—
1138#126—534no—
1139#126—534no—
1140#126—534no—
1141#126—534no—
1142#126—534no—
1143#126—534no—
1144#126—534no—
1145#126—534no—
1146#126—534no—
1147#126—534no—
1148#126—534no—
1149#126—534no—
1150#126—534no—
1151#126—534no—
1152#126—534no—
1153#126—534no—
1154#126—534no—
1155#126—534no—
1156#126—534no—
1157#126—534no—
1158#126—534no—
1159#126—534no—
1160#126C22×D5314yes—
1161#126C22×D5314yes—
1162#126C22×D5314yes—
1163#126C22×D5314yes—
1164#125—534no—
1165#125—534no—
1166#125—534no—
1167#125—534no—
1168#125—534no—
1169#125—534no—
1170#125—534no—
1171#125—534no—
1172#125—534no—
1173#125—534no—
1174#125—534no—
1175#125—534no—
1176#125—534no—
1177#125—534no—
1178#125—534no—
1179#125—534no—
1180#125—534no—
1181#125—534no—
1182#125—534no—
1183#125—534no—
1184#125—534no—
1185#125—534no—
1186#125—534no—
1187#125—534no—
1188#125—534no—
1189#125—534no—
1190#125—534no—
1191#125—534no—
1192#125—534no—
1193#125—534no—
1194#125—534no—
1195#125—534no—
1196#125—534no—
1197#125—534no—
1198#125—534no—
1199#125C22×D5314yes—
1200#125C22×D5314yes—
1201#125C22×D5314yes—
1202#124—534no—
1203#124—534no—
1204#124—534no—
1205#124—534no—
1206#124—534no—
1207#124—534no—
1208#124—534no—
1209#124—534no—
1210#124—534no—
1211#124—534no—
1212#124—534no—
1213#124—534no—
1214#124—534no—
1215#124C22×D5314yes—
1216#123—534no—
1217#123—534no—
1218#123—534no—
1219#123—534no—
1220#123—534no—
1221#123—534no—
1222#123—534no—
1223#123—534no—
1224#123—534no—
1225#123—534no—
1226#123—534no—
1227#123—534no—
1228#123—534no—
1229#123—534no—
1230#123—534no—
1231#123—534no—
1232#123—534no—
1233#123—534no—
1234#123—534no—
1235#123—534no—
1236#123—534no—
1237#123—534no—
1238#123—534no—
1239#123—534no—
1240#123—534no—
1241#123C22×D5314yes—
1242#123C22×D5314yes—
1243#123C22×D5314yes—
1244#123C22×D5314yes—
1245#123C22×D5314yes—
1246#123C22×D5314yes—
1247#123C22×D5314yes—
1248C22⋊Q8—534no—
1249C22⋊Q8—534no—
1250C22⋊Q8—534no—
1251C22⋊Q8—534no—
1252C22⋊Q8—534no—
1253C22⋊Q8—534no—
1254C22⋊Q8—534no—
1255C22⋊Q8—534no—
1256C22⋊Q8—534no—
1257C22⋊Q8—534no—
1258C22⋊Q8—534no—
1259C22⋊Q8—534no—
1260C22⋊Q8—534no—
1261C22⋊Q8—534no—
1262C22⋊Q8—534no—
1263C22⋊Q8—534no—
1264C22⋊Q8—534no—
1265C22⋊Q8—534no—
1266C22⋊Q8—534no—
1267C22⋊Q8—534no—
1268C22⋊Q8—534no—
1269C22⋊Q8—534no—
1270C22⋊Q8—534no—
1271C22⋊Q8—534no—
1272C22⋊Q8—534no—
1273C22⋊Q8—534no—
1274C22⋊Q8—534no—
1275C22⋊Q8—534no—
1276C22⋊Q8—534no—
1277C22⋊Q8—534no—
1278C22⋊Q8—534no—
1279C22⋊Q8—534no—
1280C22⋊Q8—534no—
1281C22⋊Q8—534no—
1282C22⋊Q8—534no—
1283C22⋊Q8—534no—
1284C22⋊Q8—534no—
1285C22⋊Q8—534no—
1286C22⋊Q8—534no—
1287C22⋊Q8—534no—
1288C22⋊Q8—534no—
1289C22⋊Q8—534no—
1290C22⋊Q8—534no—
1291C22⋊Q8—534no—
1292C22⋊Q8—534no—
1293C22⋊Q8—534no—
1294C22⋊Q8—534no—
1295C22⋊Q8—534no—
1296C22⋊Q8—534no—
1297C22⋊Q8—534no—
1298C22⋊Q8—534no—
1299C22⋊Q8—534no—
1300C22⋊Q8—534no—
1301C22⋊Q8—534no—
1302C22⋊Q8—534no—
1303C22⋊Q8—534no—
1304C22⋊Q8—534no—
1305C22⋊Q8C22×D5314yes—
1306C22⋊Q8C22×D5314yes—
1307C22⋊Q8C22×D5314yes—
1308C22⋊Q8C22×D5314yes—
1309C22⋊Q8C22×D5314yes—
1310#121—534no—
1311#121—534no—
1312#121—534no—
1313#121—534no—
1314#121—534no—
1315#121—534no—
1316#121—534no—
1317#121—534no—
1318#121—534no—
1319#121—534no—
1320#121—534no—
1321#121—534no—
1322#121—534no—
1323#121C22×D5314yes—
1324#120—534no—
1325#120—534no—
1326#120—534no—
1327#120C22×D5314yes—
1328C4×Q8—534no—
1329C4×Q8—534no—
1330C4×Q8—534no—
1331C4×Q8—534no—
1332C4×Q8—534no—
1333C4×Q8—534no—
1334C4×Q8—534no—
1335C4×Q8—534no—
1336C4×Q8—534no—
1337C4×Q8—534no—
1338C4×Q8—534no—
1339C4×Q8—534no—
1340C4×Q8—534no—
1341C4×Q8—534no—
1342C4×Q8—534no—
1343C4×Q8—534no—
1344C4×Q8—534no—
1345C4×Q8—534no—
1346C4×Q8—534no—
1347C4×Q8—534no—
1348C4×Q8—534no—
1349C4×Q8—534no—
1350C4×Q8—534no—
1351C4×Q8—534no—
1352C4×Q8—534no—
1353C4×Q8C22×D5314yes—
1354C4×D4—534no—
1355C4×D4—534no—
1356C4×D4—534no—
1357C4×D4—534no—
1358C4×D4—534no—
1359C4×D4—534no—
1360C4×D4—534no—
1361C4×D4—534no—
1362C4×D4—534no—
1363C4×D4—534no—
1364C4×D4—534no—
1365C4×D4—534no—
1366C4×D4—534no—
1367C4×D4—534no—
1368C4×D4—534no—
1369C4×D4—534no—
1370C4×D4—534no—
1371C4×D4—534no—
1372C4×D4—534no—
1373C4×D4—534no—
1374C4×D4—534no—
1375C4×D4—534no—
1376C4×D4—534no—
1377C4×D4—534no—
1378C4×D4—534no—
1379C4×D4—534no—
1380C4×D4—534no—
1381C4×D4—534no—
1382C4×D4—534no—
1383C4×D4—534no—
1384C4×D4—534no—
1385C4×D4—534no—
1386C4×D4—534no—
1387C4×D4C22×D5314yes—
1388C4×D4C22×D5314yes—
1389C4×D4C22×D5314yes—
1390C4×D4C22×D5314yes—
1391C4×D4C22×D5314yes—
1392#117—534no—
1393#117—534no—
1394#117—534no—
1395#117—534no—
1396#117—534no—
1397#117—534no—
1398#117—534no—
1399#117—534no—
1400#117—534no—
1401#117—534no—
1402#117—534no—
1403#117—534no—
1404#117—534no—
1405#117—534no—
1406#117—534no—
1407#117—534no—
1408#117—534no—
1409#117—534no—
1410#117—534no—
1411#117—534no—
1412#117—534no—
1413#117—534no—
1414#117—534no—
1415#117—534no—
1416#117—534no—
1417#117C22×D5314yes—
1418#117C22×D5314yes—
1419#117C22×D5314yes—
1420#117C22×D5314yes—
1421#117C22×D5314yes—
1422C2×C4⋊C4—532no—
1423C2×C4⋊C4—532no—
1424C2×C4⋊C4—532no—
1425C2×C4⋊C4—532no—
1426C2×C4⋊C4—532no—
1427C2×C4⋊C4—532no—
1428C2×C4⋊C4—532no—
1429C2×C4⋊C4—532no—
1430C2×C4⋊C4—532no—
1431C2×C4⋊C4—532no—
1432C2×C4⋊C4—532no—
1433C2×C4⋊C4—532no—
1434C2×C4⋊C4—532no—
1435C2×C4⋊C4—532no—
1436C2×C4⋊C4—532no—
1437C2×C4⋊C4—534no—
1438C2×C4⋊C4—534no—
1439C2×C4⋊C4—534no—
1440C2×C4⋊C4—534no—
1441C2×C4⋊C4—534no—
1442C2×C4⋊C4—534no—
1443C2×C4⋊C4C22×D5312yes—
1444C2×C4⋊C4C22×D5312yes—
1445C2×C4⋊C4C22×D5312yes—
1446C2×C22⋊C4—532no—
1447C2×C22⋊C4—532no—
1448C2×C22⋊C4—532no—
1449C2×C22⋊C4—532no—
1450C2×C22⋊C4—534no—
1451C2×C22⋊C4—532no—
1452C2×C22⋊C4—532no—
1453C2×C22⋊C4—532no—
1454C2×C22⋊C4—532no—
1455C2×C22⋊C4—534no—
1456C2×C22⋊C4—534no—
1457C2×C22⋊C4C22×D5312yes—
1458C2×C22⋊C4C22×D5311yescharacteristic
1459C2×C22⋊C4C22×D5311yescharacteristic
1460C2×C22⋊C4C22×D5312yes—
1461C2×C22⋊C4C22×D5312yes—
1462C2×C22⋊C4C22×D5314yes—
1463C2×C42—532no—
1464C2×C42—532no—
1465C2×C42—532no—
1466C2×C42—531no—
1467C2×C42—531no—
1468C2×C42—532no—
1469C2×C42—532no—
1470C2×C42—532no—
1471C2×C42—531no—
1472C2×C42—532no—
1473C2×C42—531no—
1474C2×C42C22×D5312yes—
1475C24—532no—
1476C24C23×D5312yes—
1477C24C23×D5311yescharacteristic
1478#41—2128no—
1479#41—2128no—
1480C2×Q8—534no—
1481C2×Q8—534no—
1482C2×Q8—534no—
1483C2×Q8—534no—
1484C2×Q8—534no—
1485C2×Q8—534no—
1486C2×Q8—534no—
1487C2×Q8—534no—
1488C2×Q8—534no—
1489C2×Q8—2124no—
1490C2×Q8—2124no—
1491C2×Q8—2124no—
1492C2×Q8—2128no—
1493C2×Q8—2128no—
1494C2×Q8C23×D5314yes—
1495C2×D4—28no—
1496C2×D4—534no—
1497C2×D4—534no—
1498C2×D4—534no—
1499C2×D4—534no—
1500C2×D4—534no—
1501C2×D4—534no—
1502C2×D4—534no—
1503C2×D4—1068no—
1504C2×D4—2124no—
1505C2×D4C23×D5314yes—
1506C2×D4C23×D5314yes—
1507C2×D4C23×D5314yes—
1508C22×C4—24no—
1509C22×C4—532no—
1510C22×C4—532no—
1511C22×C4—532no—
1512C22×C4—532no—
1513C22×C4—534no—
1514C22×C4—532no—
1515C22×C4—532no—
1516C22×C4—532no—
1517C22×C4—532no—
1518C22×C4—532no—
1519C22×C4—532no—
1520C22×C4—532no—
1521C22×C4—534no—
1522C22×C4—534no—
1523C22×C4—534no—
1524C22×C4—534no—
1525C22×C4—534no—
1526C22×C4—534no—
1527C22×C4—534no—
1528C22×C4—534no—
1529C22×C4—534no—
1530C22×C4—2124no—
1531C22×C4—2124no—
1532C22×C4—2124no—
1533C22×C4C23×D5311yescharacteristic
1534C22×C4C23×D5312yes—
1535C22×C4C23×D5312yes—
1536C22×C4C23×D5311yescharacteristic
1537C22×C4C23×D5312yes—
1538C22×C4C23×D5312yes—
1539C22×C4C23×D5312yes—
1540C22×C4C23×D5312yes—
1541C22×C4C23×D5312yes—
1542C22×C4C23×D5314yes—
1543C22×C4C23×D5314yes—
1544C4⋊C4—534no—
1545C4⋊C4—534no—
1546C4⋊C4—534no—
1547C4⋊C4—534no—
1548C4⋊C4—534no—
1549C4⋊C4—534no—
1550C4⋊C4—534no—
1551C4⋊C4—534no—
1552C4⋊C4—534no—
1553C4⋊C4—534no—
1554C4⋊C4—534no—
1555C4⋊C4—534no—
1556C4⋊C4—534no—
1557C4⋊C4—534no—
1558C4⋊C4—534no—
1559C4⋊C4—534no—
1560C4⋊C4—534no—
1561C4⋊C4—534no—
1562C4⋊C4—534no—
1563C4⋊C4—534no—
1564C4⋊C4—534no—
1565C4⋊C4—534no—
1566C4⋊C4—534no—
1567C4⋊C4—534no—
1568C4⋊C4—534no—
1569C4⋊C4—534no—
1570C4⋊C4—534no—
1571C4⋊C4—534no—
1572C4⋊C4—534no—
1573C4⋊C4—534no—
1574C4⋊C4—534no—
1575C4⋊C4—534no—
1576C4⋊C4—534no—
1577C4⋊C4—534no—
1578C4⋊C4—534no—
1579C4⋊C4—534no—
1580C4⋊C4—534no—
1581C4⋊C4—534no—
1582C4⋊C4—534no—
1583C4⋊C4—534no—
1584C4⋊C4—534no—
1585C4⋊C4—534no—
1586C4⋊C4—534no—
1587C4⋊C4—534no—
1588C4⋊C4—534no—
1589C4⋊C4—534no—
1590C4⋊C4—534no—
1591C4⋊C4—534no—
1592C4⋊C4C23×D5314yes—
1593C4⋊C4C23×D5314yes—
1594C4⋊C4C23×D5314yes—
1595C4⋊C4C23×D5314yes—
1596C4⋊C4C23×D5314yes—
1597C4⋊C4C23×D5314yes—
1598C4⋊C4C23×D5314yes—
1599C4⋊C4C23×D5314yes—
1600C4⋊C4C23×D5314yes—
1601C4⋊C4C23×D5314yes—
1602C4⋊C4C23×D5314yes—
1603C4⋊C4C23×D5314yes—
1604C22⋊C4—534no—
1605C22⋊C4—534no—
1606C22⋊C4—534no—
1607C22⋊C4—534no—
1608C22⋊C4—534no—
1609C22⋊C4—534no—
1610C22⋊C4—534no—
1611C22⋊C4—534no—
1612C22⋊C4—534no—
1613C22⋊C4—534no—
1614C22⋊C4—534no—
1615C22⋊C4—534no—
1616C22⋊C4—534no—
1617C22⋊C4—534no—
1618C22⋊C4—534no—
1619C22⋊C4—534no—
1620C22⋊C4—534no—
1621C22⋊C4—534no—
1622C22⋊C4—534no—
1623C22⋊C4—534no—
1624C22⋊C4—534no—
1625C22⋊C4—534no—
1626C22⋊C4—534no—
1627C22⋊C4—534no—
1628C22⋊C4—534no—
1629C22⋊C4—534no—
1630C22⋊C4—534no—
1631C22⋊C4—534no—
1632C22⋊C4C23×D5314yes—
1633C22⋊C4C23×D5314yes—
1634C22⋊C4C23×D5314yes—
1635C22⋊C4C23×D5314yes—
1636C22⋊C4C23×D5314yes—
1637C22⋊C4C23×D5314yes—
1638C22⋊C4C23×D5314yes—
1639C22⋊C4C23×D5314yes—
1640C22⋊C4C23×D5314yes—
1641C22⋊C4C23×D5314yes—
1642C22⋊C4C23×D5314yes—
1643C22⋊C4C23×D5314yes—
1644C42—531no—
1645C42—532no—
1646C42—532no—
1647C42—532no—
1648C42—531no—
1649C42—532no—
1650C42—532no—
1651C42—532no—
1652C42—531no—
1653C42—531no—
1654C42—534no—
1655C42—534no—
1656C42—534no—
1657C42—534no—
1658C42—534no—
1659C42—534no—
1660C42—534no—
1661C42—534no—
1662C42—534no—
1663C42—534no—
1664C42—534no—
1665C42—534no—
1666C42C23×D5314yes—
1667C42C23×D5314yes—
1668C42C23×D5314yes—
1669C42C23×D5314yes—
1670C23—24no—
1671C23—42no—
1672C23—42no—
1673C23—42no—
1674C23—534no—
1675C23—1064no—
1676C23—2122no—
1677C23—2122no—
1678C23#1313326414yes—
1679C23C24×D5314yes—
1680C23C24×D5312yes—
1681C23C24×D5311yescharacteristic
1682Q8—44no—
1683Q8—1068no—
1684Q8—1068no—
1685Q8—1068no—
1686Q8—2124no—
1687Q8—2124no—
1688Q8—2124no—
1689Q8—2124no—
1690Q8—2124no—
1691Q8—2124no—
1692D4—28no—
1693D4—28no—
1694D4—44no—
1695D4—1068no—
1696D4—1068no—
1697D4—1068no—
1698D4—2124no—
1699D4—2124no—
1700D4—2124no—
1701D4—2124no—
1702C2×C4—24no—
1703C2×C4—24no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—42no—
1708C2×C4—42no—
1709C2×C4—44no—
1710C2×C4—42no—
1711C2×C4—42no—
1712C2×C4—44no—
1713C2×C4—532no—
1714C2×C4—532no—
1715C2×C4—534no—
1716C2×C4—532no—
1717C2×C4—534no—
1718C2×C4—534no—
1719C2×C4—534no—
1720C2×C4—532no—
1721C2×C4—534no—
1722C2×C4—1068no—
1723C2×C4—1064no—
1724C2×C4—1064no—
1725C2×C4—1064no—
1726C2×C4—1068no—
1727C2×C4—1064no—
1728C2×C4—2124no—
1729C2×C4—2124no—
1730C2×C4—2124no—
1731C2×C4—2124no—
1732C2×C4—2124no—
1733C2×C4—2124no—
1734C2×C4—2122no—
1735C2×C4—2122no—
1736C2×C4—2122no—
1737C2×C4—2122no—
1738C2×C4—2122no—
1739C2×C4—2122no—
1740C2×C4—2124no—
1741C2×C4—2122no—
1742C2×C4—2124no—
1743C2×C4C24×D5312yes—
1744C2×C4C24×D5314yes—
1745C2×C4C24×D5311yescharacteristic
1746C2×C4C24×D5311yescharacteristic
1747C2×C4C24×D5314yes—
1748C2×C4C24×D5314yes—
1749C2×C4C24×D5314yes—
1750C2×C4C24×D5314yes—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—24no—
1755C22—24no—
1756C22—24no—
1757C22—44no—
1758C22—84no—
1759C22—1064no—
1760C22—1064no—
1761C22—1064no—
1762C22—4244no—
1763C22C2×#1313326414yes—
1764C22C2×#1313326412yes—
1765C22C25×D5311yescharacteristic
1766C4—22no—
1767C4—21no—
1768C4—21no—
1769C4—24no—
1770C4—24no—
1771C4—24no—
1772C4—24no—
1773C4—24no—
1774C4—534no—
1775C4—1064no—
1776C4—1062no—
1777C4—1064no—
1778C4—1062no—
1779C4—1062no—
1780C4—1064no—
1781C4—1064no—
1782C4—1064no—
1783C2—24no—
1784C2—22no—
1785C2—44no—
1786C2—2124no—
1787C2C22×#1313326411yescharacteristic
1788C2#585×D5312yes—
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3491C2
hypercenter#3491D53
hypocenterC53#62823
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3491

Complements

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

NH ≅ G/Ntype
1. #20289335C2semidirect
2. #20289327C2semidirect
3. #20289312C2semidirect
4. #20289273C2semidirect
5. #20289165C2semidirect
6. #20289148C2semidirect
7. #20288804C2semidirect
8. #20288753C2semidirect
9. #20288704C2semidirect
10. #20288698C2semidirect
11. #20288552C2semidirect
12. #20288545C2semidirect
13. #20288515C2semidirect
14. #20288513C2semidirect
15. #20288456C2semidirect
16. #20288454C2semidirect
17. #20288413C2semidirect
18. #20288411C2semidirect
19. C2×#16811176C2semidirect
20. C2×#16811150C2semidirect
21. C53×#3491C2semidirect
22. C53⋊#564C22semidirect
23. #16811377C22semidirect
24. #16811376C22semidirect
25. #16811375C22semidirect
26. #16811375C22semidirect
27. #16811374C22semidirect
28. #16811374C22semidirect
29. #16811370C22semidirect
30. #16811351C22semidirect
31. #16811350C22semidirect
32. #16811350C22semidirect
33. #16811346C22semidirect
34. #16811342C22semidirect
35. #16811341C22semidirect
36. #16811341C22semidirect
37. #16811340C22semidirect
38. #16811340C22semidirect
39. #16811340C22semidirect
40. #16811332C22semidirect
41. #16811332C22semidirect
42. #16811332C22semidirect
43. #16811332C22semidirect
44. #16811331C22semidirect
45. #16811331C22semidirect
46. #16811330C22semidirect
47. #16811330C22semidirect
48. #16811327C22semidirect
49. #16811327C22semidirect
50. #16811327C22semidirect
51. #16811327C22semidirect
52. #16811325C22semidirect
53. #16811322C22semidirect
54. #16811322C22semidirect
55. #16811319C22semidirect
56. #16811316C22semidirect
57. #16811316C22semidirect
58. #16811315C22semidirect
59. #16811313C22semidirect
60. #16811311C22semidirect
61. #16811311C22semidirect
62. #16811310C22semidirect
63. #16811310C22semidirect
64. #16811310C22semidirect
65. #16811310C22semidirect
66. #16811309C22semidirect
67. #16811309C22semidirect
68. #16811309C22semidirect
69. #16811308C22semidirect
70. #16811308C22semidirect
71. #16811306C22semidirect
72. #16811306C22semidirect
73. #16811306C22semidirect
74. #16811306C22semidirect
75. #16811306C22semidirect
76. #16811304C22semidirect
77. #16811299C22semidirect
78. #16811299C22semidirect
79. #16811299C22semidirect
80. #16811297C22semidirect
81. #16811297C22semidirect
82. #16811297C22semidirect
83. #16811296C22semidirect
84. #16811296C22semidirect
85. #16811296C22semidirect
86. D4×Dic106C22semidirect
87. D4×Dic106C22semidirect
88. #16811286C22semidirect
89. #16811286C22semidirect
90. #16811286C22semidirect
91. #16811282C22semidirect
92. #16811282C22semidirect
93. #16811281C22semidirect
94. #16811279C22semidirect
95. #16811271C22semidirect
96. #16811263C22semidirect
97. #16811260C22semidirect
98. #16811253C22semidirect
99. #16811252C22semidirect
100. #16811252C22semidirect
101. #16811251C22semidirect
104. #16811249C22semidirect
105. #16811248C22semidirect
106. #16811244C22semidirect
107. #16811241C22semidirect
108. #16811239C22semidirect
109. #16811239C22semidirect
110. #16811239C22semidirect
111. #16811238C22semidirect
112. #16811237C22semidirect
113. #16811237C22semidirect
114. #16811236C22semidirect
115. #16811235C22semidirect
116. #16811233C22semidirect
117. #16811232C22semidirect
118. #16811232C22semidirect
119. #16811232C22semidirect
120. #16811232C22semidirect
121. #16811231C22semidirect
122. #16811230C22semidirect
123. #16811230C22semidirect
124. #16811230C22semidirect
125. #16811230C22semidirect
126. #16811222C22semidirect
127. #16811220C22semidirect
129. #16811217C22semidirect
130. #16811217C22semidirect
131. #16811217C22semidirect
132. #16811216C22semidirect
134. #16811214C22semidirect
137. #16811196C22semidirect
138. #16811195C22semidirect
141. #16811176C22semidirect
142. #16811176C22semidirect
143. #16811176C22semidirect
144. #16811176C22semidirect
145. #16811176C22semidirect
146. #16811175C22semidirect
147. C2×#13133216C22semidirect
148. #16811157C22semidirect
155. #16811150C22semidirect
156. #16811150C22semidirect
157. #16811150C22semidirect
158. #16811150C22semidirect
159. #16811150C22semidirect
160. #16811150C22semidirect
161. C2×#13133212C22semidirect
162. C2×#13133210C22semidirect
163. C2×#13133208C22semidirect
164. C2×#13133207C22semidirect
165. C2×#13133203C22semidirect
172. C2×#13133194C22semidirect
173. C22⋊Q8×D53C22semidirect
175. #16811103C22semidirect
176. #16811102C22semidirect
177. #16811100C22semidirect
178. #16811099C22semidirect
182. C2×C4×Dic106C22semidirect
183. C2×C4×Dic106C22semidirect
184. C2×#13133182C22semidirect
187. C2×#13133177C22semidirect
189. C2×#13133175C22semidirect
190. C2×#13133173C22semidirect
192. C53×#552C22semidirect
193. C53×#552C22semidirect
194. C53×#551C22semidirect
195. C53×#551C22semidirect
197. C53×#539C22semidirect
199. C53×#529C22semidirect
907. #3491D53semidirect
970. #552C2×D53semidirect
971. #552C2×D53semidirect
982. #551C2×D53semidirect
983. #551C2×D53semidirect
1034. #539C2×D53semidirect
1062. #529C2×D53semidirect
1097. C53#62823semidirect

Maximal subgroups

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

subgroupindex
#202893352
#202893272
#202893122
#202892732
#202891652
#202891482
#202888042
#202887532
#202887042
#202886982
#202885522
#202885452
#202885152
#202885132
#202884562
#202884542
#202884132
#202884112
C2×#168111762
C2×#168111502
C53×#34912
#6282353