Finite Group Databasebeta

← #28292691

Subgroups — #28292691

Order 13568.

7220 conjugacy classes of subgroups.

The subgroup lattice has 2042 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288827C211yesmaximal, characteristic, complemented
2#20288817C211yesmaximal, characteristic, complemented
3#20288802C211yesmaximal, characteristic, complemented
4#20288791C211yesmaximal, characteristic, complemented
5#20288790C213yesmaximal, complemented
6#20288782C213yesmaximal, complemented
7#20288760C213yesmaximal, complemented
8#20288743C213yesmaximal, complemented
9#20288726C211yesmaximal, characteristic, complemented
10#20288715C211yesmaximal, characteristic, complemented
11#20288708C211yesmaximal, characteristic, complemented
12#20288691C213yesmaximal, complemented
13#20288674C213yesmaximal, complemented
14#20288659C213yesmaximal, complemented
15#20288649C213yesmaximal, complemented
16#20288307C213yesmaximal, complemented
17#20288297C211yesmaximal, characteristic, complemented
18#20288281C213yesmaximal, complemented
19#20288274C213yesmaximal, complemented
20#20288268C213yesmaximal, complemented
21D4×#11719949C211yesmaximal, characteristic, complemented
22#20288204C211yesmaximal, characteristic, complemented
23#20288204C211yesmaximal, characteristic, complemented
24#20288106C213yesmaximal, complemented
25#20288102C213yesmaximal, complemented
26#20288009C213yesmaximal, complemented
27#529×D53C213yesmaximal, complemented
28#20287917C211yesmaximal, characteristic, complemented
29#20287915C211yesmaximal, characteristic, complemented
30C2×C4×#11719949C211yesmaximal, characteristic, complemented
31C53×#3516C211yesmaximal, characteristic, complemented
32C22×#11719949C2211yescharacteristic
33C22×#11719949C2211yescharacteristic
34C2×#41×D53C2211yescharacteristic
35#16811358C2213yescomplemented
36#16811355C2213yescomplemented
37#16811355C2213yescomplemented
38Q8×Dic106C2211yescharacteristic, complemented
39#16811349C2211yescharacteristic, complemented
40#16811349C2211yescharacteristic, complemented
41#16811348C2213yescomplemented
42#16811346C2213yescomplemented
43#16811345C2213yescomplemented
44#16811345C2213yescomplemented
45#16811344C2213yescomplemented
46#16811341C2213yescomplemented
47#16811339C2213yescomplemented
48#16811337C2213yescomplemented
49#16811336C2213yescomplemented
50#16811333C2213yescomplemented
51#16811331C2213yescomplemented
52#16811329C2213yescomplemented
53#16811329C2213yescomplemented
54#16811328C2213yescomplemented
55#16811326C2213yescomplemented
56#16811324C2216yescomplemented
57#16811324C2216yescomplemented
58#16811323C2213yescomplemented
59#16811321C2213yescomplemented
60#16811321C2213yescomplemented
61#16811319C2213yescomplemented
62#16811317C2216yescomplemented
63#16811315C2213yescomplemented
64#16811315C2213yescomplemented
65#16811314C2213yescomplemented
66#16811313C2213yescomplemented
67#16811311C2213yescomplemented
68#16811311C2216yescomplemented
69#16811309C2216yescomplemented
70#16811305C2216yescomplemented
71#16811302C2216yescomplemented
72#16811301C2216yescomplemented
73#16811300C2216yescomplemented
74#16811300C2216yescomplemented
75#16811298C2216yescomplemented
76#16811297C2216yescomplemented
77#16811295C2211yescharacteristic, complemented
78#16811294C2213yescomplemented
79#16811292C2211yescharacteristic, complemented
80#16811292C2211yescharacteristic, complemented
81#16811288C2213yescomplemented
82Q8×C22⋊D53C2211yescharacteristic, complemented
83Q8×C22⋊D53C2211yescharacteristic, complemented
84#16811285C2211yescharacteristic, complemented
85#16811285C2211yescharacteristic, complemented
86#16811284C2211yescharacteristic, complemented
87#16811284C2211yescharacteristic, complemented
88#16811283C2216yescomplemented
89#16811277C2213yescomplemented
90#16811276C2213yescomplemented
91#16811275C2213yescomplemented
92#16811275C2213yescomplemented
93#16811274C2213yescomplemented
94#16811273C2213yescomplemented
95#16811269C2213yescomplemented
96#16811269C2213yescomplemented
97#16811268C2216yescomplemented
98#16811266C2213yescomplemented
99#16811266C2213yescomplemented
100#16811265C2216yescomplemented
101#16811264C2213yescomplemented
102#16811264C2213yescomplemented
103#16811262C2216yescomplemented
104D4×D212C2213yescomplemented
105#16811257C2213yescomplemented
106#16811257C2213yescomplemented
107#16811247C2213yescomplemented
108#16811246C2213yescomplemented
109#16811246C2213yescomplemented
110#16811245C2213yescomplemented
111#16811245C2213yescomplemented
112#16811244C2213yescomplemented
113#16811242C2213yescomplemented
114#16811234C2213yescomplemented
115#16811233C2213yescomplemented
116#16811231C2213yescomplemented
117#16811229C2213yescomplemented
118#16811228C2213yescomplemented
119#16811226C2213yescomplemented
120#16811224C2213yescomplemented
121#16811221C2216yescomplemented
122#16811221C2216yescomplemented
123#16811219C2216yescomplemented
124#16811214C2216yescomplemented
125#16811212C2216yescomplemented
126#16811212C2216yescomplemented
127#16811209C2216yescomplemented
128#16811207C2216yescomplemented
129#16811179C2213yescomplemented
130#16811179C2213yescomplemented
131#16811178C2213yescomplemented
132#16811177C2213yescomplemented
133#16811175C2213yescomplemented
134#16811174C2213yescomplemented
135#16811172C2213yescomplemented
136#16811172C2213yescomplemented
137#16811170C2213yescomplemented
138#16811168C2213yescomplemented
139#16811160C2213yescomplemented
140#16811159C2213yescomplemented
141#16811159C2216yescomplemented
142#16811158C2213yescomplemented
143#16811158C2216yescomplemented
144#16811158C2213yescomplemented
145#16811157C2213yescomplemented
146#16811157C2213yescomplemented
147#16811156C2216yescomplemented
148#16811156C2216yescomplemented
149#16811156C2213yescomplemented
150#16811156C2216yescomplemented
151#16811156C2213yescomplemented
152#16811155C2213yescomplemented
153#16811154C2213yescomplemented
154#16811153C2213yes—
155#16811153C2213yescomplemented
156#16811152C2213yescomplemented
157#16811152C2213yescomplemented
158#16811151C2216yescomplemented
159#16811151C2213yescomplemented
160#16811151C2213yescomplemented
161#16811150C2211yescharacteristic
162#16811150C2213yescomplemented
163#16811150C2216yescomplemented
164#126×D53C2213yescomplemented
165#126×D53C2213yescomplemented
166#125×D53C2213yescomplemented
167#124×D53C2213yescomplemented
168#16811136C2213yescomplemented
169#16811136C2213yescomplemented
170#16811136C2213yescomplemented
171#16811136C2213yescomplemented
172#16811133C2213yescomplemented
173#16811133C2213yescomplemented
174#16811132C2216yescomplemented
175#16811131C2216yescomplemented
176#123×D53C2213yescomplemented
177#123×D53C2213yescomplemented
178C22⋊Q8×D53C2213yescomplemented
179#121×D53C2213yes—
180#16811106C2211yescharacteristic, complemented
181#16811105C2213yescomplemented
182#16811105C2211yescharacteristic, complemented
183#16811105C2213yescomplemented
184#16811105C2211yescharacteristic, complemented
185#16811104C2213yescomplemented
186#16811103C2213yescomplemented
187#16811101C2211yescharacteristic, complemented
188#16811099C2211yescharacteristic, complemented
189#16811099C2211yescharacteristic, complemented
190#16811097C2213yescomplemented
191#16811097C2213yescomplemented
192#16811095C2213yescomplemented
193#16811095C2213yescomplemented
194C4×#11719949C2211yescharacteristic
195C4×#11719949C2211yescharacteristic
196C4×#11719949C2211yescharacteristic
197C4×#11719949C2211yescharacteristic
198C4×#11719949C2213yescomplemented
199C4×#11719949C2213yescomplemented
200C4×#11719949C2213yescomplemented
201C4×#11719949C2213yescomplemented
202C4×#11719949C2211yescharacteristic, complemented
203C4×#11719949C2213yescomplemented
204C4×#11719949C2213yescomplemented
205C4×#11719949C2211yescharacteristic, complemented
206#16811091C2216yescomplemented
207C4×#11719947C2216yescomplemented
208C4×#11719947C2213yescomplemented
209C4×#11719947C2213yescomplemented
210C2×Q8×Dic53C2211yescharacteristic, complemented
211C4×Q8×D53C2213yescomplemented
212C2×C4×D212C2213yescomplemented
213C2×#13133179C2213yescomplemented
214C4×D4×D53C2213yescomplemented
215C4×D4×D53C2213yescomplemented
216C4×D4×D53C2213yescomplemented
217C2×#13133175C2213yescomplemented
218C2×#13133175C2213yescomplemented
219#117×D53C2213yescomplemented
220#117×D53C2213yescomplemented
221#117×D53C2213yescomplemented
222C2×C42×D53C2213yescomplemented
223C53×#557C2211yescharacteristic, complemented
224C53×#556C2213yescomplemented
225C53×#554C2213yescomplemented
226C53×#553C2213yescomplemented
227C53×#552C2213yescomplemented
228D4×Q8×C53C2211yescharacteristic, complemented
229C53×#548C2211yescharacteristic, complemented
230C53×#548C2211yescharacteristic, complemented
231C53×#542C2213yescomplemented
232C53×#541C2213yescomplemented
233C53×#529C2213yescomplemented
234C53×#529C2213yescomplemented
235C53×#520C2211yescharacteristic, complemented
236C53×#519C2211yescharacteristic, complemented
237C2×C4×Q8×C53C2211yescharacteristic, complemented
238C2×#11719949—28no—
239C2×#11719949—28no—
240C2×#11719949C2313yes—
241C2×#11719949C2313yes—
242C2×#11719949C2311yescharacteristic
243C2×#11719949C2311yescharacteristic
244C2×#11719949C2313yes—
245C2×#11719949C2313yes—
246C2×#11719949C2311yescharacteristic
247C2×#11719945C2313yes—
248C2×#11719945C2316yes—
249C2×#11719947C2313yes—
250C2×#11719947C2316yes—
251#41×D53—28no—
252C2×Q8×D53C2311yescharacteristic
253C2×Q8×D53C2313yes—
254C22×D212C2313yes—
255C22×D212C2313yes—
256C2×D4×D53C2313yes—
257C2×D4×D53C2313yes—
258C2×D4×D53C2313yes—
259C2×D4×D53C2313yes—
260C22×C4×D53C2313yes—
261C22×C4×D53C2313yes—
262C22×C4×D53C2313yes—
263C22×C4×D53C2313yes—
264C22×C4×D53C2313yes—
265#13133217C2313yes—
266#13133216C2313yes—
267#13133216C2313yes—
268#13133216C2313yes—
269#13133216C2313yes—
270#13133215C2313yes—
271#13133215C2313yes—
272#13133214C2313yes—
273#13133213C2313yes—
274#13133213C2313yes—
275#13133212C2316yes—
276#13133212C2313yes—
277#13133212C2316yes—
278#13133212C2316yes—
279#13133212C2316yes—
280#13133212C2313yes—
281#13133212C2316yes—
282#13133212C2311yescharacteristic
283#13133212C2313yes—
284#13133212C2313yes—
285#13133212C2313yes—
286#13133211C2313yes—
287#13133211C2316yes—
288#13133211C2313yes—
289#13133211C2316yes—
290#13133210C2316yes—
291#13133210C2313yes—
292#13133210C2313yes—
293#13133210C2311yescharacteristic
294#13133210C2313yes—
295#13133210C2313yes—
296#13133210C2313yes—
297#13133209C2313yes—
298#13133209C2313yes—
299#13133209C2313yes—
300#13133208C2313yes—
301#13133208C2313yes—
302#13133208C2316yes—
303#13133208C2313yes—
304#13133208C2313yes—
305#13133207C2313yes—
306#13133207C2316yes—
307#13133207C2316yes—
308#13133207C2313yes—
309#13133207C2311yescharacteristic
310#13133207C2313yes—
311#13133207C2316yes—
312#13133206C2313yes—
313#13133206C2313yes—
314#13133206C2316yes—
315#13133206C2313yes—
316#13133205C2316yes—
317#13133205C2313yes—
318#13133205C2313yes—
319#13133205C2313yes—
320#13133204C2313yes—
321#13133203C2313yes—
322#13133203C2313yes—
323#13133203C2316yes—
324#13133203C2316yes—
325#13133203C2311yescharacteristic
326#13133203C2313yes—
327#13133203C2316yes—
328#13133202C2316yes—
329#13133202C2316yes—
330#13133202C2316yes—
331#13133202C2316yes—
332#13133202C2316yes—
333#13133202C2316yes—
334#13133202C2313yes—
335#13133202C2316yes—
336#13133202C2313yes—
337#13133202C2313yes—
338#13133202C2313yes—
339#13133202C2316yes—
340#13133201C2313yes—
341#13133201C2316yes—
342#13133201C2313yes—
343#13133201C2316yes—
344#13133200C2316yes—
345#13133200C2311yescharacteristic
346#13133200C2313yes—
347#13133199C2316yes—
348#13133199C2316yes—
349#13133199C2316yes—
350#13133199C2313yes—
351#13133199C2313yes—
352#13133199C2313yes—
353#13133199C2313yes—
354#13133199C2316yes—
355#13133198C2313yes—
356#13133198C2313yes—
357#13133197C2316yes—
358#13133197C2313yes—
359#13133197C2313yes—
360#13133197C2316yes—
361#13133197C2313yes—
362#13133196C2313yes—
363#13133196C2313yes—
364#13133196C2313yes—
365#13133195C2316yes—
366#13133195C2313yes—
367#13133195C2313yes—
368#13133195C2316yes—
369#13133195C2316yes—
370#13133195C2316yes—
371#13133195C2316yes—
372#13133195C2316yes—
373#13133194C2316yes—
374#13133194C2311yescharacteristic
375#13133194C2313yes—
376#13133193C2313yes—
377#13133193C2313yes—
378#13133193C2313yes—
379#13133193C2313yes—
380#13133193C2316yes—
381#13133193C2313yes—
382#13133192C2316yes—
383#13133192C2313yes—
384#13133192C2313yes—
385#13133192C2316yes—
386#13133192C2316yes—
387#13133192C2313yes—
388#13133192C2313yes—
389#13133192C2313yes—
390#13133191C2313yes—
391#13133191C2316yes—
392#13133191C2313yes—
393#13133191C2313yes—
394#13133191C2313yes—
395#13133191C2313yes—
396#13133190C2313yes—
397#13133190C2316yes—
398#13133190C2316yes—
399#13133190C2316yes—
400#13133190C2316yes—
401#13133190C2313yes—
402#13133190C2316yes—
403#13133190C2316yes—
404#13133189C2316yes—
405#13133189C2311yescharacteristic
406#13133189C2313yes—
407#13133188C2313yes—
408#13133188C2313yes—
409#13133188C2313yes—
410#13133187C2316yes—
411#13133187C2316yes—
412#13133187C2316yes—
413#13133187C2316yes—
414#13133185C2316yes—
415#13133185C2316yes—
416Q8×Dic53C2311yescharacteristic
417Q8×Dic53C2311yescharacteristic
418Q8×Dic53C2311yescharacteristic
419Q8×Dic53C2313yes—
420Q8×Dic53C2313yes—
421Q8×Dic53C2313yes—
422Q8×Dic53C2311yescharacteristic
423Q8×Dic53C2313yes—
424Q8×Dic53C2313yes—
425C4×Dic106C2313yes—
426C4×Dic106C2313yes—
427C4×Dic106C2316yes—
428C4×Dic106C2313yes—
429C4×Dic106C2313yes—
430C4×Dic106C2313yes—
431#13133182C2316yes—
432#13133182C2313yes—
433#13133182C2311yescharacteristic
434#13133182C2313yes—
435#13133182C2313yes—
436#13133182C2313yes—
437#13133182C2316yes—
438C4×D212C2313yes—
439C4×D212C2313yes—
440C4×D212C2313yes—
441C4×D212C2313yes—
442C4×D212C2316yes—
443C4×D212C2313yes—
444C4×D212C2313yes—
445C4×D212C2313yes—
446C4×D212C2316yes—
447C4×D212C2313yes—
448C4×D212C2313yes—
449C4×D212C2316yes—
450C4×D212C2313yes—
451C4×D212C2316yes—
452C4×D212C2313yes—
453D4×Dic53C2313yes—
454D4×Dic53C2311yescharacteristic
455D4×Dic53C2313yes—
456D4×Dic53C2313yes—
457D4×Dic53C2313yes—
458#13133179C2313yes—
459#13133179C2316yes—
460#13133179C2313yes—
461#13133179C2313yes—
462#13133179C2313yes—
463#13133179C2316yes—
464#13133179C2313yes—
465#13133179C2316yes—
466#13133179C2313yes—
467#13133179C2313yes—
468#13133179C2313yes—
469#13133179C2313yes—
470#13133179C2316yes—
471#13133179C2313yes—
472#13133179C2316yes—
473#13133179C2316yes—
474#13133179C2313yes—
475C4×C22⋊D53C2313yes—
476C4×C22⋊D53C2313yes—
477C4×C22⋊D53C2313yes—
478C4×C22⋊D53C2313yes—
479C4×C22⋊D53C2316yes—
480C4×C22⋊D53C2313yes—
481C4×C22⋊D53C2313yes—
482C4×C22⋊D53C2316yes—
483C4×C22⋊D53C2316yes—
484C4×C22⋊D53C2316yes—
485#13133177C2316yes—
486#13133177C2316yes—
487#13133177C2316yes—
488#13133177C2311yescharacteristic
489#13133177C2311yescharacteristic
490#13133177C2313yes—
491#13133177C2313yes—
492#13133177C2313yes—
493#13133177C2313yes—
494#13133177C2316yes—
495#13133177C2316yes—
496#13133177C2316yes—
497#13133176C2313yes—
498#13133176C2313yes—
499#13133176C2313yes—
500#13133175C2316yes—
501#13133175C2316yes—
502#13133175C2316yes—
503#13133175C2313yes—
504#13133175C2313yes—
505#13133175C2313yes—
506#13133175C2313yes—
507#13133175C2311yescharacteristic
508#13133175C2313yes—
509#13133175C2313yes—
510#13133175C2313yes—
511#13133175C2313yes—
512#13133175C2313yes—
513#13133175C2313yes—
514#13133175C2313yes—
515#13133175C2316yes—
516#13133174C2316yes—
517#13133174C2316yes—
518#13133174C2316yes—
519#13133174C2313yes—
520#13133174C2313yes—
521#13133174C2313yes—
522#13133174C2313yes—
523#13133173C2316yes—
524#13133173C2316yes—
525#13133173C2311yescharacteristic
526#13133173C2313yes—
527#13133173C2313yes—
528#13133173C2313yes—
529C2×C4⋊Dic53C2313yes—
530C2×C4⋊Dic53C2313yes—
531C4⋊C4×D53C2313yes—
532C4⋊C4×D53C2313yes—
533C4⋊C4×D53C2313yes—
534C4⋊C4×D53C2313yes—
535C4⋊C4×D53C2313yes—
536C4⋊C4×D53C2313yes—
537C4⋊C4×D53C2313yes—
538C4⋊C4×D53C2313yes—
539C4⋊C4×D53C2313yes—
540C4⋊C4×D53C2313yes—
541C4⋊C4×D53C2313yes—
542C4⋊C4×D53C2313yes—
543C2×#11719921C2316yes—
544C2×#11719921C2316yes—
545C22⋊C4×D53C2313yes—
546C22⋊C4×D53C2313yes—
547C22⋊C4×D53C2316yes—
548C22⋊C4×D53C2313yes—
549C22⋊C4×D53C2313yes—
550C22⋊C4×D53C2313yes—
551C22⋊C4×D53C2313yes—
552C22⋊C4×D53C2313yes—
553C22⋊C4×D53C2313yes—
554C22⋊C4×D53C2313yes—
555C22⋊C4×D53C2313yes—
556C2×C4×Dic53C2311yescharacteristic
557C2×C4×Dic53C2313yes—
558C2×C4×Dic53C2313yes—
559C2×C4×Dic53C2316yes—
560C42×D53C2313yes—
561C42×D53C2313yes—
562C42×D53C2313yes—
563C42×D53C2313yes—
564C42×D53C2313yes—
565C42×D53C2313yes—
566C42×D53C2313yes—
567C42×D53C2313yes—
568C42×D53C2313yes—
569C42×D53C2313yes—
570C42×D53C2316yes—
571C2×#41×C53C2311yescharacteristic
572C22×Q8×C53C2311yescharacteristic
573C22×Q8×C53C2311yescharacteristic
574C4⋊Q8×C53C2313yes—
575C4⋊Q8×C53C2313yes—
576#126×C53C2313yes—
577#126×C53C2316yes—
578#126×C53C2313yes—
579#126×C53C2316yes—
580#125×C53C2316yes—
581#125×C53C2313yes—
582#125×C53C2313yes—
583#125×C53C2313yes—
584#124×C53C2313yes—
585#124×C53C2313yes—
586#124×C53C2313yes—
587#123×C53C2316yes—
588#123×C53C2311yescharacteristic
589#123×C53C2313yes—
590C22⋊Q8×C53C2313yes—
591C22⋊Q8×C53C2313yes—
592C22⋊Q8×C53C2313yes—
593C22⋊Q8×C53C2313yes—
594C22⋊Q8×C53C2316yes—
595C22⋊Q8×C53C2313yes—
596#121×C53C2313yes—
597#121×C53C2313yes—
598#121×C53C2313yes—
599C4×Q8×C53C2311yescharacteristic
600C4×Q8×C53C2311yescharacteristic
601C4×Q8×C53C2311yescharacteristic
602C4×Q8×C53C2313yes—
603C4×Q8×C53C2313yes—
604C4×Q8×C53C2311yescharacteristic
605C4×Q8×C53C2313yes—
606C4×Q8×C53C2313yes—
607C4×Q8×C53C2313yes—
608C4×D4×C53C2316yes—
609C4×D4×C53C2313yes—
610C4×D4×C53C2313yes—
611C4×D4×C53C2313yes—
612C4×D4×C53C2313yes—
613C4×D4×C53C2313yes—
614#117×C53C2316yes—
615#117×C53C2313yes—
616#117×C53C2313yes—
617#117×C53C2313yes—
618C2×C4⋊C4×C53C2313yes—
619C2×C4⋊C4×C53C2313yes—
620C2×C42×C53C2313yes—
621C23×D53C2413yes—
622C23×D53C2413yes—
623C23×D53C2413yes—
624#41×C53—24no—
625C2×Q8×C53—24no—
626C2×Q8×C53—24no—
627C2×Q8×C53C2413yes—
628C2×Q8×C53C2413yes—
629C2×Q8×C53C2413yes—
630C2×Q8×C53C2411yescharacteristic
631C2×D4×C53C2413yes—
632C2×D4×C53C2411yescharacteristic
633C2×D4×C53C2413yes—
634C2×D4×C53C2413yes—
635C22×C4×C53C2411yescharacteristic
636C22×C4×C53C2413yes—
637C22×C4×C53C2413yes—
638C22×C4×C53C2413yes—
639C22×C4×C53C2413yes—
640C22×C4×C53C2416yes—
641C2×C22⋊D53C2413yes—
642C2×C22⋊D53C2416yes—
643C2×C22⋊D53C2413yes—
644C2×C22⋊D53C2411yescharacteristic
645C2×C22⋊D53C2411yescharacteristic
646C2×C22⋊D53C2416yes—
647C2×C22⋊D53C2416yes—
648C2×C22⋊D53C2413yes—
649C2×C22⋊D53C2413yes—
650C22×Dic53C2411yescharacteristic
651C22×Dic53C2411yescharacteristic
652C22×Dic53C2413yes—
653C22×Dic53C2413yes—
654C22×Dic53C2411yescharacteristic
655C22×Dic53C2416yes—
656#11719949—24no—
657#11719949—24no—
658#11719949—212no—
659#11719949—212no—
660#11719949—212no—
661#11719949—212no—
662#11719949#4118yescomplemented
663Q8×D53—24no—
664Q8×D53—46no—
665#11719947—212no—
666#11719947—412no—
667D4×D53—212no—
668D4×D53—46no—
669D4×D53—46no—
670D4×D53—46no—
671#11719945—212no—
672#11719945—412no—
673C2×D212—212no—
674C2×D212—212no—
675C2×D212C2416yes—
676C2×D212C2416yes—
677C2×D212C2413yes—
678C2×D212C2413yes—
679C2×D212C2416yes—
680C2×D212C2413yes—
681C2×D212C2413yes—
682C2×D212C2413yes—
683C2×D212C2413yes—
684C2×C4×D53—212no—
685C2×C4×D53—212no—
686C2×C4×D53—212no—
687C2×C4×D53—46no—
688C2×C4×D53—46no—
689C2×C4×D53C2413yes—
690C2×C4×D53C2413yes—
691C2×C4×D53C2413yes—
692C2×C4×D53C2413yes—
693C2×C4×D53C2413yes—
694C2×C4×D53C2413yes—
695C2×C4×D53C2413yes—
696C2×C4×D53C2413yes—
697C2×C4×D53C2413yes—
698C2×C4×D53C2413yes—
699C2×C4×D53C2411yescharacteristic
700C2×C4×D53C2413yes—
701C2×C4×D53C2413yes—
702C2×C4×D53C2413yes—
703C2×C4×D53C2413yes—
704C2×C4×D53C2413yes—
705C2×C4×D53C2413yes—
706C2×C4×D53C2413yes—
707C2×C4×D53C2413yes—
708C2×C4×D53C2413yes—
709C2×C4×D53C2413yes—
710C2×C4×D53C2416yes—
711C2×C4×D53C2416yes—
712C2×C4×D53C2413yes—
713C2×Dic106C2413yes—
714C2×Dic106C2413yes—
715C2×Dic106C2411yescharacteristic
716C2×Dic106C2416yes—
717C2×Dic106C2413yes—
718C4⋊C4×C53C2413yes—
719C4⋊C4×C53C2413yes—
720C4⋊C4×C53C2413yes—
721C4⋊C4×C53C2413yes—
722C4⋊C4×C53C2416yes—
723C4⋊C4×C53C2411yescharacteristic
724C4⋊C4×C53C2413yes—
725C4⋊C4×C53C2413yes—
726C4⋊C4×C53C2413yes—
727C4⋊C4×C53C2413yes—
728C4⋊C4×C53C2416yes—
729C4⋊C4×C53C2413yes—
730C4⋊C4×C53C2413yes—
731C4⋊C4×C53C2416yes—
732C4⋊C4×C53C2413yes—
733C4⋊C4×C53C2411yescharacteristic
734C4⋊C4×C53C2413yes—
735C22⋊C4×C53C2413yes—
736C22⋊C4×C53C2411yescharacteristic
737C22⋊C4×C53C2413yes—
738C22⋊C4×C53C2413yes—
739C22⋊C4×C53C2413yes—
740C22⋊C4×C53C2416yes—
741C22⋊C4×C53C2411yescharacteristic
742C22⋊C4×C53C2413yes—
743C22⋊C4×C53C2411yescharacteristic
744C22⋊C4×C53C2416yes—
745C22⋊C4×C53C2413yes—
746C22⋊C4×C53C2413yes—
747C42×C53C2413yes—
748C42×C53C2413yes—
749C42×C53C2413yes—
750C42×C53C2413yes—
751C42×C53C2416yes—
752C42×C53C2413yes—
753C42×C53C2413yes—
754C22⋊Dic53C2411yescharacteristic
755C22⋊Dic53C2413yes—
756C22⋊Dic53C2411yescharacteristic
757C22⋊Dic53C2411yescharacteristic
758C22⋊Dic53C2413yes—
759C22⋊Dic53C2413yes—
760C22⋊Dic53C2413yes—
761C22⋊Dic53C2413yes—
762C22⋊Dic53C2413yes—
763C22⋊Dic53C2413yes—
764#11719921C2411yescharacteristic
765#11719921C2411yescharacteristic
766#11719921C2411yescharacteristic
767#11719921C2411yescharacteristic
768#11719921C2416yes—
769#11719921C2413yes—
770#11719921C2413yes—
771#11719921C2413yes—
772#11719921C2416yes—
773#11719921C2413yes—
774#11719921C2413yes—
775#11719921C2413yes—
776#11719921C2413yes—
777#11719921C2413yes—
778#11719921C2413yes—
779#11719921C2413yes—
780#11719921C2413yes—
781#11719921C2413yes—
782#11719921C2413yes—
783#11719921C2413yes—
784#11719921C2413yes—
785#11719921C2413yes—
786#11719921C2416yes—
787#11719921C2416yes—
788#11719921C2416yes—
789#11719921C2416yes—
790#11719921C2416yes—
791#11719921C2416yes—
792#11719921C2416yes—
793#11719921C2416yes—
794C4⋊Dic53C2411yescharacteristic
795C4⋊Dic53C2411yescharacteristic
796C4⋊Dic53C2413yes—
797C4⋊Dic53C2413yes—
798C4⋊Dic53C2413yes—
799C4⋊Dic53C2413yes—
800C4⋊Dic53C2413yes—
801C4⋊Dic53C2413yes—
802C4⋊Dic53C2413yes—
803C4⋊Dic53C2413yes—
804C4⋊Dic53C2413yes—
805C4⋊Dic53C2413yes—
806C4⋊Dic53C2413yes—
807C4⋊Dic53C2413yes—
808C4⋊Dic53C2416yes—
809#11719919C2411yescharacteristic
810#11719919C2413yes—
811#11719919C2413yes—
812#11719919C2411yescharacteristic
813#11719919C2411yescharacteristic
814#11719919C2411yescharacteristic
815#11719919C2411yescharacteristic
816#11719919C2411yescharacteristic
817#11719919C2413yes—
818#11719919C2413yes—
819#11719919C2413yes—
820#11719919C2413yes—
821#11719919C2413yes—
822#11719919C2413yes—
823#11719919C2413yes—
824#11719919C2413yes—
825#11719919C2413yes—
826#11719919C2413yes—
827#11719919C2413yes—
828#11719919C2413yes—
829#11719919C2416yes—
830#11719919C2416yes—
831#11719919C2416yes—
832#11719919C2416yes—
833C4×Dic53C2411yescharacteristic
834C4×Dic53C2411yescharacteristic
835C4×Dic53C2411yescharacteristic
836C4×Dic53C2411yescharacteristic
837C4×Dic53C2413yes—
838C4×Dic53C2411yescharacteristic
839C4×Dic53C2411yescharacteristic
840C4×Dic53C2413yes—
841C4×Dic53C2413yes—
842C4×Dic53C2413yes—
843C4×Dic53C2413yes—
844C4×Dic53C2413yes—
845C4×Dic53C2413yes—
846C4×Dic53C2413yes—
847C4×Dic53C2413yes—
848C4×Dic53C2413yes—
849C4×Dic53C2416yes—
850C4×Dic53C2413yes—
851C4×Dic53C2413yes—
852C4×Dic53C2416yes—
853C4×Dic53C2416yes—
854C23×C53C2513yes—
855C23×C53C2511yescharacteristic
856C23×C53C2511yescharacteristic
857C22×D53—26no—
858C22×D53—26no—
859C22×D53—26no—
860C22×D53—26no—
861C22×D53—43no—
862C22×D53—43no—
863C22×D53—43no—
864C22×D53—43no—
865C22×D53—43no—
866C22×D53C2513yes—
867C22×D53C2513yes—
868C22×D53C2511yescharacteristic
869C22×D53C2513yes—
870Q8×C53—26no—
871Q8×C53—26no—
872Q8×C53—43no—
873Q8×C53C2×#4114yes—
874D4×C53—22no—
875D4×C53—26no—
876D4×C53—26no—
877D4×C53—43no—
878C2×C4×C53—22no—
879C2×C4×C53—26no—
880C2×C4×C53—26no—
881C2×C4×C53—26no—
882C2×C4×C53—43no—
883C2×C4×C53—46no—
884C2×C4×C53C2513yes—
885C2×C4×C53C2511yescharacteristic
886C2×C4×C53C2513yes—
887C2×C4×C53C2513yes—
888C2×C4×C53C2511yescharacteristic
889C2×C4×C53C2511yescharacteristic
890C2×C4×C53C2513yes—
891C2×C4×C53C2511yescharacteristic
892C2×C4×C53C2511yescharacteristic
893C2×C4×C53C2513yes—
894C2×C4×C53C2513yes—
895C2×C4×C53C2513yes—
896C22⋊D53—22no—
897C22⋊D53—26no—
898C22⋊D53—212no—
899C22⋊D53—26no—
900C22⋊D53—22no—
901C22⋊D53—46no—
902C22⋊D53—43no—
903C22⋊D53—43no—
904C22⋊D53—46no—
905C2×Dic53—26no—
906C2×Dic53—22no—
907C2×Dic53—22no—
908C2×Dic53—26no—
909C2×Dic53—22no—
910C2×Dic53—46no—
911C2×Dic53C2511yescharacteristic
912C2×Dic53C2513yes—
913C2×Dic53C2513yes—
914C2×Dic53C2513yes—
915C2×Dic53C2513yes—
916C2×Dic53C2511yescharacteristic
917C2×Dic53C2511yescharacteristic
918C2×Dic53C2511yescharacteristic
919C2×Dic53C2513yes—
920C2×Dic53C2511yescharacteristic
921C2×Dic53C2511yescharacteristic
922C2×Dic53C2511yescharacteristic
923D212—212no—
924D212—212no—
925D212—26no—
926D212—26no—
927D212—46no—
928D212—43no—
929D212—43no—
930D212—43no—
931D212C2×#41112yes—
932C4×D53—26no—
933C4×D53—26no—
934C4×D53—26no—
935C4×D53—26no—
936C4×D53—26no—
937C4×D53—26no—
938C4×D53—22no—
939C4×D53—26no—
940C4×D53—26no—
941C4×D53—26no—
942C4×D53—26no—
943C4×D53—43no—
944C4×D53—43no—
945C4×D53—43no—
946C4×D53—43no—
947C4×D53—43no—
948C4×D53—43no—
949C4×D53—46no—
950C4×D53—43no—
951C4×D53—43no—
952C4×D53—46no—
953C4×D53—43no—
954C4×D53—43no—
955C4×D53C2×#41112yes—
956Dic106—26no—
957Dic106—26no—
958Dic106—22no—
959Dic106—46no—
960Dic106—43no—
961#62816—531nomaximal, Sylow
962C22×C53—21no—
963C22×C53—21no—
964C22×C53—23no—
965C22×C53—21no—
966C22×C53—23no—
967C22×C53—23no—
968C22×C53—21no—
969C22×C53—21no—
970C22×C53#58512yes—
971C22×C53C2611yescharacteristic
972C2×D53—23no—
973C2×D53—23no—
974C2×D53—21no—
975C2×D53—23no—
976C2×D53—23no—
977C2×D53—23no—
978C2×D53—23no—
979C2×D53—23no—
980C2×D53—23no—
981C2×D53—21no—
982C2×D53—21no—
983C2×D53—412no—
984C2×D53—86no—
985C2×D53—86no—
986C2×D53C22×#4116yes—
987C4×C53—21no—
988C4×C53—23no—
989C4×C53—23no—
990C4×C53—21no—
991C4×C53—23no—
992C4×C53—23no—
993C4×C53—23no—
994C4×C53—23no—
995C4×C53—21no—
996C4×C53—21no—
997C4×C53—21no—
998C4×C53C22×#4116yes—
999Dic53—23no—
1000Dic53—21no—
1001Dic53—21no—
1002Dic53—21no—
1003Dic53—23no—
1004Dic53—23no—
1005Dic53—23no—
1006Dic53—21no—
1007Dic53—23no—
1008Dic53—21no—
1009Dic53C22×#4112yes—
1010Dic53#58512yes—
1011#3524—531no—
1012#3524—531no—
1013#3523—531no—
1014#3522—531no—
1015#3521—533no—
1016#3521—533no—
1017#3520—533no—
1018#3519—533no—
1019#3518—531no—
1020#3517—531no—
1021#3516—531no—
1022#3516D5311yescharacteristic, complemented
1023#3515—533no—
1024#3514—533no—
1025#3513—533no—
1026#3513—533no—
1027#3480—533no—
1028Q8×#41—531no—
1029#3475—533no—
1030#3475—533no—
1031#3475—533no—
1032D4×#41—531no—
1033D4×#41—531no—
1034D4×#41—531no—
1035#3455—533no—
1036#3455—533no—
1037#3444—533no—
1038C2×#529—533no—
1039#3428—531no—
1040#3428—531no—
1041C2×C4×#41—531no—
1042C2×C53—22no—
1043C2×C53—41no—
1044C2×C53—43no—
1045C2×C53C23×#4111yescharacteristic
1046C2×C53C2×#58511yescharacteristic
1047C2×C53C2×#58511yescharacteristic
1048D53—26no—
1049D53—43no—
1050D53—43no—
1051D53—41no—
1052C22×#41—531no—
1053C22×#41—531no—
1054C22×#41—531no—
1055#559—533no—
1056#559—533no—
1057#559—533no—
1058Q82—531no—
1059#557—533no—
1060#557—531no—
1061#557—531no—
1062#557C2×D5311yescharacteristic, complemented
1063#556—533no—
1064#556—533no—
1065#556—533no—
1066#556—533no—
1067#556—533no—
1068#556C2×D5313yescomplemented
1069#555—533no—
1070#555—533no—
1071#555—533no—
1072#554—533no—
1073#554—533no—
1074#554—533no—
1075#554—533no—
1076#554—533no—
1077#554C2×D5313yescomplemented
1078#553—536no—
1079#553—536no—
1080#553—533no—
1081#553—533no—
1082#553—533no—
1083#553—536no—
1084#553—533no—
1085#553—533no—
1086#553C2×D5313yescomplemented
1087#552—536no—
1088#552—536no—
1089#552—536no—
1090#552—533no—
1091#552—533no—
1092#552—533no—
1093#552—533no—
1094#552—533no—
1095#552C2×D5313yescomplemented
1096#551—536no—
1097#551—536no—
1098#551—536no—
1099#551—536no—
1100#551—536no—
1101#551—536no—
1102#550—531no—
1103#550—531no—
1104#550—531no—
1105#550—533no—
1106D4×Q8—531no—
1107D4×Q8—531no—
1108D4×Q8—533no—
1109D4×Q8C2×D5311yescharacteristic, complemented
1110#548—531no—
1111#548—531no—
1112#548—536no—
1113#548—531no—
1114#548—531no—
1115#548C2×D5311yescharacteristic, complemented
1116#548C2×D5311yescharacteristic, complemented
1117#547—533no—
1118#547—533no—
1119#547—533no—
1120#547—533no—
1121#547—533no—
1122#547—533no—
1123#546—533no—
1124#546—533no—
1125#546—536no—
1126#546—533no—
1127#546—533no—
1128#546—536no—
1129#546—536no—
1130#546—533no—
1131#546—533no—
1132D42—533no—
1133D42—533no—
1134D42—533no—
1135#542—533no—
1136#542—533no—
1137#542—533no—
1138#542—533no—
1139#542—533no—
1140#542—533no—
1141#542—533no—
1142#542C2×D5313yescomplemented
1143#541—533no—
1144#541—533no—
1145#541—533no—
1146#541C2×D5313yescomplemented
1147#540—533no—
1148#540—533no—
1149#540—533no—
1150#540—533no—
1151#539—536no—
1152#539—536no—
1153#539—536no—
1154#539—536no—
1155#538—536no—
1156#538—536no—
1157#538—536no—
1158#538—536no—
1159#533—533no—
1160#533—533no—
1161#533—533no—
1162#533—533no—
1163#533—533no—
1164#532—533no—
1165#532—533no—
1166#532—533no—
1167#532—533no—
1168#532—533no—
1169#529—533no—
1170#529—533no—
1171#529—536no—
1172#529—536no—
1173#529—536no—
1174#529—533no—
1175#529—533no—
1176#529—536no—
1177#529—533no—
1178#529—533no—
1179#529—531no—
1180#529—533no—
1181#529—536no—
1182#529—533no—
1183#529—536no—
1184#529—533no—
1185#529—533no—
1186#529—533no—
1187#529—533no—
1188#529—533no—
1189#529—533no—
1190#529—533no—
1191#529—536no—
1192#529—533no—
1193#529—533no—
1194#529C2×D5313yescomplemented
1195#529C2×D5313yescomplemented
1196C2×#126—533no—
1197C2×#126—533no—
1198C2×#125—533no—
1199C2×#124—533no—
1200#525—536no—
1201#525—533no—
1202#525—533no—
1203#525—533no—
1204#525—533no—
1205#525—533no—
1206#525—533no—
1207#525—536no—
1208C2×#123—533no—
1209C2×#123—533no—
1210C2×C22⋊Q8—533no—
1211C2×#121—533no—
1212#520—531no—
1213#520—533no—
1214#520—531no—
1215#520—533no—
1216#520—531no—
1217#520—533no—
1218#520—533no—
1219#520C2×D5311yescharacteristic, complemented
1220#519—531no—
1221#519—531no—
1222#519—531no—
1223#519C2×D5311yescharacteristic, complemented
1224#518—533no—
1225#518—533no—
1226#518—533no—
1227#518—533no—
1228C4×#41—531no—
1229C4×#41—531no—
1230C4×#41—531no—
1231C4×#41—531no—
1232C4×#41—533no—
1233C4×#41—533no—
1234C4×#41—533no—
1235C4×#41—531no—
1236C4×#41—533no—
1237C4×#41—531no—
1238C4×#41—533no—
1239C4×#41—533no—
1240C4×#41—533no—
1241C4×#41—533no—
1242C4×#41—536no—
1243C4×#41—536no—
1244C2×C4×Q8—531no—
1245C2×C4×Q8—533no—
1246C2×C4×Q8C2×D5311yescharacteristic, complemented
1247C2×C4×D4—533no—
1248C2×C4×D4—533no—
1249C2×C4×D4—533no—
1250C2×C4×D4—533no—
1251C2×C4×D4—533no—
1252C2×#117—533no—
1253C2×#117—533no—
1254C2×#117—533no—
1255C2×#117—533no—
1256C2×#117—533no—
1257C22×C42—533no—
1258C53#6281611yescharacteristic, complemented, Sylow
1259C2×#41—531no—
1260C2×#41—533no—
1261C2×#41—533no—
1262C2×#41—533no—
1263C2×#41—531no—
1264C2×#41—533no—
1265C2×#41—531no—
1266C2×#41—533no—
1267C2×#41—536no—
1268C2×#41—533no—
1269C2×#41—536no—
1270C2×#41—1068no—
1271C2×#41—1068no—
1272C2×#41—1068no—
1273C2×#41C22×D5311yescharacteristic
1274C22×Q8—531no—
1275C22×Q8—533no—
1276C22×Q8C22×D5311yescharacteristic
1277C22×Q8C22×D5311yescharacteristic
1278C22×D4—533no—
1279C22×D4—533no—
1280C22×D4—533no—
1281C22×D4—533no—
1282C22×D4—533no—
1283C22×D4—533no—
1284C23×C4—533no—
1285C23×C4—533no—
1286C23×C4—533no—
1287C23×C4—533no—
1288C23×C4—533no—
1289C4⋊Q8—533no—
1290C4⋊Q8—533no—
1291C4⋊Q8—533no—
1292C4⋊Q8—533no—
1293C4⋊Q8—533no—
1294C4⋊Q8—533no—
1295C4⋊Q8—533no—
1296C4⋊Q8C22×D5313yes—
1297C4⋊Q8C22×D5313yes—
1298#127—533no—
1299#127—533no—
1300#127—533no—
1301#126—531no—
1302#126—533no—
1303#126—533no—
1304#126—533no—
1305#126—533no—
1306#126—533no—
1307#126—536no—
1308#126—536no—
1309#126—536no—
1310#126—536no—
1311#126—536no—
1312#126—531no—
1313#126—533no—
1314#126—533no—
1315#126—533no—
1316#126—533no—
1317#126—533no—
1318#126—536no—
1319#126—533no—
1320#126—533no—
1321#126—536no—
1322#126—536no—
1323#126C22×D5313yes—
1324#126C22×D5313yes—
1325#126C22×D5316yes—
1326#126C22×D5316yes—
1327#125—531no—
1328#125—533no—
1329#125—533no—
1330#125—533no—
1331#125—533no—
1332#125—533no—
1333#125—536no—
1334#125—536no—
1335#125—536no—
1336#125—536no—
1337#125—533no—
1338#125—533no—
1339#125—533no—
1340#125—533no—
1341#125—533no—
1342#125C22×D5313yes—
1343#125C22×D5313yes—
1344#125C22×D5316yes—
1345#125C22×D5313yes—
1346#124—533no—
1347#124—536no—
1348#124—533no—
1349#124—533no—
1350#124—533no—
1351#124—531no—
1352#124—533no—
1353#124—533no—
1354#124—533no—
1355#124—536no—
1356#124—536no—
1357#124—536no—
1358#124—533no—
1359#124—533no—
1360#124—536no—
1361#124—533no—
1362#124C22×D5313yes—
1363#124C22×D5313yes—
1364#124C22×D5313yes—
1365#123—533no—
1366#123—533no—
1367#123—531no—
1368#123—533no—
1369#123—536no—
1370#123—533no—
1371#123—533no—
1372#123—533no—
1373#123—533no—
1374#123—536no—
1375#123—536no—
1376#123—536no—
1377#123—536no—
1378#123—536no—
1379#123—536no—
1380#123—536no—
1381#123—536no—
1382#123—533no—
1383#123—533no—
1384#123—533no—
1385#123—533no—
1386#123—533no—
1387#123—533no—
1388#123—536no—
1389#123—536no—
1390#123—536no—
1391#123—536no—
1392#123—536no—
1393#123—536no—
1394#123C22×D5311yescharacteristic
1395#123C22×D5313yes—
1396#123C22×D5316yes—
1397C22⋊Q8—533no—
1398C22⋊Q8—533no—
1399C22⋊Q8—533no—
1400C22⋊Q8—533no—
1401C22⋊Q8—533no—
1402C22⋊Q8—536no—
1403C22⋊Q8—533no—
1404C22⋊Q8—533no—
1405C22⋊Q8—533no—
1406C22⋊Q8—533no—
1407C22⋊Q8—533no—
1408C22⋊Q8—533no—
1409C22⋊Q8—536no—
1410C22⋊Q8—536no—
1411C22⋊Q8—533no—
1412C22⋊Q8—536no—
1413C22⋊Q8—533no—
1414C22⋊Q8—536no—
1415C22⋊Q8—536no—
1416C22⋊Q8—536no—
1417C22⋊Q8—536no—
1418C22⋊Q8—536no—
1419C22⋊Q8—531no—
1420C22⋊Q8—533no—
1421C22⋊Q8—536no—
1422C22⋊Q8C22×D5313yes—
1423C22⋊Q8C22×D5313yes—
1424C22⋊Q8C22×D5313yes—
1425C22⋊Q8C22×D5313yes—
1426C22⋊Q8C22×D5313yes—
1427C22⋊Q8C22×D5316yes—
1428#121—531no—
1429#121—533no—
1430#121—533no—
1431#121—533no—
1432#121—533no—
1433#121—536no—
1434#121—533no—
1435#121—533no—
1436#121—533no—
1437#121—533no—
1438#121—533no—
1439#121—536no—
1440#121—533no—
1441#121—533no—
1442#121—533no—
1443#121—533no—
1444#121—533no—
1445#121—536no—
1446#121—536no—
1447#121—536no—
1448#121—533no—
1449#121—533no—
1450#121—536no—
1451#121—536no—
1452#121—536no—
1453#121—536no—
1454#121—536no—
1455#121—536no—
1456#121C22×D5313yes—
1457#121C22×D5313yes—
1458#121C22×D5313yes—
1459#120—536no—
1460#120—536no—
1461#120—536no—
1462#120—536no—
1463#120—536no—
1464#120—536no—
1465C4×Q8—531no—
1466C4×Q8—533no—
1467C4×Q8—531no—
1468C4×Q8—533no—
1469C4×Q8—533no—
1470C4×Q8—533no—
1471C4×Q8—531no—
1472C4×Q8—531no—
1473C4×Q8—533no—
1474C4×Q8—531no—
1475C4×Q8—533no—
1476C4×Q8—533no—
1477C4×Q8—533no—
1478C4×Q8—533no—
1479C4×Q8—536no—
1480C4×Q8—536no—
1481C4×Q8—533no—
1482C4×Q8—533no—
1483C4×Q8—533no—
1484C4×Q8—533no—
1485C4×Q8—533no—
1486C4×Q8—536no—
1487C4×Q8C22×D5313yes—
1488C4×Q8C22×D5311yescharacteristic
1489C4×Q8C22×D5313yes—
1490C4×Q8C22×D5311yescharacteristic
1491C4×Q8C22×D5313yes—
1492C4×Q8C22×D5311yescharacteristic
1493C4×Q8C22×D5313yes—
1494C4×Q8C22×D5311yescharacteristic
1495C4×Q8C22×D5313yes—
1496C4×D4—531no—
1497C4×D4—533no—
1498C4×D4—533no—
1499C4×D4—533no—
1500C4×D4—533no—
1501C4×D4—533no—
1502C4×D4—533no—
1503C4×D4—533no—
1504C4×D4—533no—
1505C4×D4—533no—
1506C4×D4—533no—
1507C4×D4—536no—
1508C4×D4—536no—
1509C4×D4—536no—
1510C4×D4—536no—
1511C4×D4—533no—
1512C4×D4—536no—
1513C4×D4—533no—
1514C4×D4—533no—
1515C4×D4—536no—
1516C4×D4—533no—
1517C4×D4—533no—
1518C4×D4—533no—
1519C4×D4—533no—
1520C4×D4—536no—
1521C4×D4—533no—
1522C4×D4—533no—
1523C4×D4—533no—
1524C4×D4—536no—
1525C4×D4—533no—
1526C4×D4—536no—
1527C4×D4—536no—
1528C4×D4—531no—
1529C4×D4—531no—
1530C4×D4—533no—
1531C4×D4—533no—
1532C4×D4—533no—
1533C4×D4—533no—
1534C4×D4—536no—
1535C4×D4—536no—
1536C4×D4—536no—
1537C4×D4—536no—
1538C4×D4—536no—
1539C4×D4—536no—
1540C4×D4—533no—
1541C4×D4—536no—
1542C4×D4—533no—
1543C4×D4—533no—
1544C4×D4—536no—
1545C4×D4—533no—
1546C4×D4—533no—
1547C4×D4—533no—
1548C4×D4—533no—
1549C4×D4—536no—
1550C4×D4—533no—
1551C4×D4—533no—
1552C4×D4—533no—
1553C4×D4—536no—
1554C4×D4—533no—
1555C4×D4C22×D5313yes—
1556C4×D4C22×D5313yes—
1557C4×D4C22×D5313yes—
1558C4×D4C22×D5313yes—
1559C4×D4C22×D5313yes—
1560C4×D4C22×D5316yes—
1561#117—533no—
1562#117—533no—
1563#117—533no—
1564#117—533no—
1565#117—531no—
1566#117—533no—
1567#117—533no—
1568#117—533no—
1569#117—533no—
1570#117—533no—
1571#117—533no—
1572#117—536no—
1573#117—536no—
1574#117—533no—
1575#117—533no—
1576#117—533no—
1577#117—533no—
1578#117—536no—
1579#117—536no—
1580#117—531no—
1581#117—533no—
1582#117—533no—
1583#117—533no—
1584#117—536no—
1585#117—536no—
1586#117—533no—
1587#117—533no—
1588#117—533no—
1589#117—533no—
1590#117—536no—
1591#117—536no—
1592#117—536no—
1593#117C22×D5313yes—
1594#117C22×D5313yes—
1595#117C22×D5313yes—
1596#117C22×D5316yes—
1597C2×C4⋊C4—533no—
1598C2×C4⋊C4—533no—
1599C2×C4⋊C4—533no—
1600C2×C4⋊C4—533no—
1601C2×C4⋊C4—533no—
1602C2×C4⋊C4—533no—
1603C2×C4⋊C4—533no—
1604C2×C4⋊C4—533no—
1605C2×C4⋊C4—533no—
1606C2×C4⋊C4—533no—
1607C2×C4⋊C4—533no—
1608C2×C4⋊C4—533no—
1609C2×C4⋊C4—533no—
1610C2×C4⋊C4—533no—
1611C2×C4⋊C4C22×D5313yes—
1612C2×C4⋊C4C22×D5313yes—
1613C2×C22⋊C4—536no—
1614C2×C22⋊C4—536no—
1615C2×C22⋊C4—533no—
1616C2×C22⋊C4—533no—
1617C2×C22⋊C4—533no—
1618C2×C22⋊C4—533no—
1619C2×C22⋊C4—536no—
1620C2×C22⋊C4—533no—
1621C2×C22⋊C4—533no—
1622C2×C22⋊C4—533no—
1623C2×C22⋊C4—533no—
1624C2×C22⋊C4—533no—
1625C2×C22⋊C4—533no—
1626C2×C42—533no—
1627C2×C42—536no—
1628C2×C42—533no—
1629C2×C42—531no—
1630C2×C42—533no—
1631C2×C42—533no—
1632C2×C42—533no—
1633C2×C42—536no—
1634C2×C42—533no—
1635C2×C42—533no—
1636C2×C42—533no—
1637C2×C42—533no—
1638C2×C42—533no—
1639C2×C42—533no—
1640C2×C42—533no—
1641C2×C42C22×D5313yes—
1642C24—533no—
1643C24—533no—
1644C24—533no—
1645#41—24no—
1646#41—538no—
1647#41—10612no—
1648#41—10612no—
1649#41—10612no—
1650#41—10612no—
1651#41—10612no—
1652#41—10612no—
1653#41—1064no—
1654#41—1064no—
1655#41—21212no—
1656#41—21212no—
1657C2×Q8—24no—
1658C2×Q8—24no—
1659C2×Q8—531no—
1660C2×Q8—533no—
1661C2×Q8—533no—
1662C2×Q8—533no—
1663C2×Q8—536no—
1664C2×Q8—1064no—
1665C2×Q8—2126no—
1666C2×Q8C23×D5313yes—
1667C2×Q8C23×D5313yes—
1668C2×Q8C23×D5313yes—
1669C2×Q8C23×D5311yescharacteristic
1670C2×D4—536no—
1671C2×D4—533no—
1672C2×D4—531no—
1673C2×D4—531no—
1674C2×D4—533no—
1675C2×D4—533no—
1676C2×D4—536no—
1677C2×D4—536no—
1678C2×D4—533no—
1679C2×D4—533no—
1680C2×D4—536no—
1681C2×D4—536no—
1682C2×D4—533no—
1683C2×D4—533no—
1684C2×D4—533no—
1685C2×D4—533no—
1686C2×D4—536no—
1687C2×D4—533no—
1688C2×D4—10612no—
1689C2×D4—10612no—
1690C2×D4—10612no—
1691C2×D4—2126no—
1692C2×D4—2126no—
1693C2×D4—2126no—
1694C2×D4C23×D5313yes—
1695C2×D4C23×D5313yes—
1696C2×D4C23×D5311yescharacteristic
1697C2×D4C23×D5313yes—
1698C22×C4—533no—
1699C22×C4—531no—
1700C22×C4—531no—
1701C22×C4—533no—
1702C22×C4—533no—
1703C22×C4—531no—
1704C22×C4—536no—
1705C22×C4—533no—
1706C22×C4—533no—
1707C22×C4—533no—
1708C22×C4—533no—
1709C22×C4—533no—
1710C22×C4—533no—
1711C22×C4—533no—
1712C22×C4—533no—
1713C22×C4—533no—
1714C22×C4—531no—
1715C22×C4—533no—
1716C22×C4—533no—
1717C22×C4—533no—
1718C22×C4—533no—
1719C22×C4—533no—
1720C22×C4—533no—
1721C22×C4—533no—
1722C22×C4—533no—
1723C22×C4—533no—
1724C22×C4—533no—
1725C22×C4—533no—
1726C22×C4—536no—
1727C22×C4—536no—
1728C22×C4—10612no—
1729C22×C4—10612no—
1730C22×C4—10612no—
1731C22×C4—2126no—
1732C22×C4—2126no—
1733C22×C4C23×D5311yescharacteristic
1734C22×C4C23×D5313yes—
1735C22×C4C23×D5313yes—
1736C22×C4C23×D5313yes—
1737C22×C4C23×D5313yes—
1738C22×C4C23×D5316yes—
1739C4⋊C4—533no—
1740C4⋊C4—531no—
1741C4⋊C4—531no—
1742C4⋊C4—533no—
1743C4⋊C4—533no—
1744C4⋊C4—533no—
1745C4⋊C4—531no—
1746C4⋊C4—531no—
1747C4⋊C4—531no—
1748C4⋊C4—531no—
1749C4⋊C4—531no—
1750C4⋊C4—531no—
1751C4⋊C4—533no—
1752C4⋊C4—533no—
1753C4⋊C4—533no—
1754C4⋊C4—533no—
1755C4⋊C4—533no—
1756C4⋊C4—533no—
1757C4⋊C4—533no—
1758C4⋊C4—533no—
1759C4⋊C4—533no—
1760C4⋊C4—533no—
1761C4⋊C4—536no—
1762C4⋊C4—533no—
1763C4⋊C4—533no—
1764C4⋊C4—533no—
1765C4⋊C4—533no—
1766C4⋊C4—533no—
1767C4⋊C4—533no—
1768C4⋊C4—533no—
1769C4⋊C4—533no—
1770C4⋊C4—533no—
1771C4⋊C4—533no—
1772C4⋊C4—533no—
1773C4⋊C4—533no—
1774C4⋊C4—536no—
1775C4⋊C4—536no—
1776C4⋊C4—536no—
1777C4⋊C4—536no—
1778C4⋊C4C23×D5311yescharacteristic
1779C4⋊C4C23×D5311yescharacteristic
1780C4⋊C4C23×D5313yes—
1781C4⋊C4C23×D5313yes—
1782C4⋊C4C23×D5313yes—
1783C4⋊C4C23×D5313yes—
1784C4⋊C4C23×D5313yes—
1785C4⋊C4C23×D5313yes—
1786C4⋊C4C23×D5313yes—
1787C4⋊C4C23×D5313yes—
1788C4⋊C4C23×D5313yes—
1789C4⋊C4C23×D5313yes—
1790C4⋊C4C23×D5313yes—
1791C4⋊C4C23×D5316yes—
1792C4⋊C4C23×D5313yes—
1793C4⋊C4C23×D5316yes—
1794C4⋊C4C23×D5316yes—
1795C22⋊C4—531no—
1796C22⋊C4—533no—
1797C22⋊C4—531no—
1798C22⋊C4—531no—
1799C22⋊C4—533no—
1800C22⋊C4—533no—
1801C22⋊C4—533no—
1802C22⋊C4—533no—
1803C22⋊C4—533no—
1804C22⋊C4—533no—
1805C22⋊C4—536no—
1806C22⋊C4—531no—
1807C22⋊C4—533no—
1808C22⋊C4—533no—
1809C22⋊C4—531no—
1810C22⋊C4—531no—
1811C22⋊C4—531no—
1812C22⋊C4—536no—
1813C22⋊C4—536no—
1814C22⋊C4—536no—
1815C22⋊C4—533no—
1816C22⋊C4—533no—
1817C22⋊C4—536no—
1818C22⋊C4—533no—
1819C22⋊C4—536no—
1820C22⋊C4—533no—
1821C22⋊C4—533no—
1822C22⋊C4—533no—
1823C22⋊C4—533no—
1824C22⋊C4—533no—
1825C22⋊C4—533no—
1826C22⋊C4—533no—
1827C22⋊C4—533no—
1828C22⋊C4—533no—
1829C22⋊C4—533no—
1830C22⋊C4—533no—
1831C22⋊C4—536no—
1832C22⋊C4—536no—
1833C22⋊C4—536no—
1834C22⋊C4—536no—
1835C22⋊C4C23×D5313yes—
1836C22⋊C4C23×D5311yescharacteristic
1837C22⋊C4C23×D5311yescharacteristic
1838C22⋊C4C23×D5311yescharacteristic
1839C22⋊C4C23×D5313yes—
1840C22⋊C4C23×D5313yes—
1841C22⋊C4C23×D5313yes—
1842C22⋊C4C23×D5313yes—
1843C22⋊C4C23×D5313yes—
1844C22⋊C4C23×D5313yes—
1845C22⋊C4C23×D5316yes—
1846C22⋊C4C23×D5316yes—
1847C42—533no—
1848C42—531no—
1849C42—531no—
1850C42—531no—
1851C42—531no—
1852C42—533no—
1853C42—531no—
1854C42—533no—
1855C42—533no—
1856C42—533no—
1857C42—531no—
1858C42—533no—
1859C42—533no—
1860C42—533no—
1861C42—533no—
1862C42—533no—
1863C42—536no—
1864C42—536no—
1865C42—536no—
1866C42—533no—
1867C42—533no—
1868C42C23×D5313yes—
1869C42C23×D5313yes—
1870C42C23×D5313yes—
1871C42C23×D5313yes—
1872C42C23×D5316yes—
1873C42C23×D5313yes—
1874C42C23×D5313yes—
1875C23—533no—
1876C23—531no—
1877C23—533no—
1878C23—533no—
1879C23—1066no—
1880C23—1066no—
1881C23—1066no—
1882C23—1066no—
1883C23—2123no—
1884C23—2123no—
1885C23—2123no—
1886C23—2123no—
1887C23—2123no—
1888C23C24×D5311yescharacteristic
1889C23C24×D5313yes—
1890C23C24×D5311yescharacteristic
1891Q8—26no—
1892Q8—26no—
1893Q8—43no—
1894Q8—1062no—
1895Q8—1066no—
1896Q8—1066no—
1897Q8—2123no—
1898Q8—2126no—
1899Q8#41×D5314yes—
1900D4—22no—
1901D4—26no—
1902D4—26no—
1903D4—43no—
1904D4—5312no—
1905D4—10612no—
1906D4—10612no—
1907D4—1062no—
1908D4—1066no—
1909D4—10612no—
1910D4—1062no—
1911D4—1066no—
1912D4—1066no—
1913D4—1066no—
1914D4—2123no—
1915D4—2123no—
1916D4—2123no—
1917D4—2126no—
1918D4—2123no—
1919D4—2123no—
1920D4—2126no—
1921D4—2126no—
1922C2×C4—22no—
1923C2×C4—26no—
1924C2×C4—26no—
1925C2×C4—26no—
1926C2×C4—43no—
1927C2×C4—46no—
1928C2×C4—531no—
1929C2×C4—531no—
1930C2×C4—5312no—
1931C2×C4—531no—
1932C2×C4—531no—
1933C2×C4—533no—
1934C2×C4—531no—
1935C2×C4—533no—
1936C2×C4—533no—
1937C2×C4—533no—
1938C2×C4—533no—
1939C2×C4—531no—
1940C2×C4—531no—
1941C2×C4—1062no—
1942C2×C4—1066no—
1943C2×C4—1066no—
1944C2×C4—1066no—
1945C2×C4—1066no—
1946C2×C4—1066no—
1947C2×C4—1066no—
1948C2×C4—1066no—
1949C2×C4—1062no—
1950C2×C4—1062no—
1951C2×C4—1066no—
1952C2×C4—1062no—
1953C2×C4—1066no—
1954C2×C4—1066no—
1955C2×C4—1066no—
1956C2×C4—1066no—
1957C2×C4—2123no—
1958C2×C4—2123no—
1959C2×C4—2123no—
1960C2×C4—2123no—
1961C2×C4—2123no—
1962C2×C4—2123no—
1963C2×C4—2123no—
1964C2×C4—2123no—
1965C2×C4—2123no—
1966C2×C4—2123no—
1967C2×C4—2126no—
1968C2×C4—2126no—
1969C2×C4—2126no—
1970C2×C4C24×D5313yes—
1971C2×C4C24×D5313yes—
1972C2×C4C24×D5311yescharacteristic
1973C2×C4C24×D5311yescharacteristic
1974C2×C4C24×D5313yes—
1975C2×C4C24×D5313yes—
1976C2×C4C24×D5313yes—
1977C2×C4C24×D5311yescharacteristic
1978C2×C4C24×D5313yes—
1979C2×C4C24×D5311yescharacteristic
1980C2×C4C24×D5311yescharacteristic
1981C2×C4C24×D5313yes—
1982C22—21no—
1983C22—21no—
1984C22—21no—
1985C22—23no—
1986C22—23no—
1987C22—21no—
1988C22—23no—
1989C22—21no—
1990C22—536no—
1991C22—1063no—
1992C22—1063no—
1993C22—1061no—
1994C22—1063no—
1995C22—1063no—
1996C22—1063no—
1997C22—1063no—
1998C22—1061no—
1999C22—1063no—
2000C22—1063no—
2001C22—1061no—
2002C22—4246no—
2003C22—4246no—
2004C22—21212no—
2005C22#1681146012yes—
2006C22C25×D5311yescharacteristic
2007C4—21no—
2008C4—23no—
2009C4—23no—
2010C4—23no—
2011C4—23no—
2012C4—23no—
2013C4—21no—
2014C4—21no—
2015C4—21no—
2016C4—21no—
2017C4—23no—
2018C4—532no—
2019C4—532no—
2020C4—1061no—
2021C4—1061no—
2022C4—1063no—
2023C4—1061no—
2024C4—1063no—
2025C4—1061no—
2026C4—1063no—
2027C4—1063no—
2028C4—1061no—
2029C4—1063no—
2030C4C2×#41×D5316yes—
2031C2—22no—
2032C2—41no—
2033C2—43no—
2034C2—1066no—
2035C2—2121no—
2036C2—2123no—
2037C2—2123no—
2038C2C22×#41×D5311yescharacteristic
2039C2#585×D5311yescharacteristic
2040C2C2×#1681146011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3516C2
hypercenter#3516D53
hypocenterC53#62816
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3516

Complements

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

NH ≅ G/Ntype
1. #20288827C2semidirect
2. #20288817C2semidirect
3. #20288802C2semidirect
4. #20288791C2semidirect
5. #20288790C2semidirect
6. #20288782C2semidirect
7. #20288760C2semidirect
8. #20288743C2semidirect
9. #20288726C2semidirect
10. #20288715C2semidirect
11. #20288708C2semidirect
12. #20288691C2semidirect
13. #20288674C2semidirect
14. #20288659C2semidirect
15. #20288649C2semidirect
16. #20288307C2semidirect
17. #20288297C2semidirect
18. #20288281C2semidirect
19. #20288274C2semidirect
20. #20288268C2semidirect
21. D4×#11719949C2semidirect
22. #20288204C2semidirect
23. #20288204C2semidirect
24. #20288106C2semidirect
25. #20288102C2semidirect
26. #20288009C2semidirect
27. #529×D53C2semidirect
28. #20287917C2semidirect
29. #20287915C2semidirect
30. C2×C4×#11719949C2semidirect
31. C53×#3516C2semidirect
35. #16811358C22semidirect
36. #16811355C22semidirect
37. #16811355C22semidirect
38. Q8×Dic106C22semidirect
39. #16811349C22semidirect
40. #16811349C22semidirect
41. #16811348C22semidirect
42. #16811346C22semidirect
43. #16811345C22semidirect
44. #16811345C22semidirect
45. #16811344C22semidirect
46. #16811341C22semidirect
47. #16811339C22semidirect
48. #16811337C22semidirect
49. #16811336C22semidirect
50. #16811333C22semidirect
51. #16811331C22semidirect
52. #16811329C22semidirect
53. #16811329C22semidirect
54. #16811328C22semidirect
55. #16811326C22semidirect
56. #16811324C22semidirect
57. #16811324C22semidirect
58. #16811323C22semidirect
59. #16811321C22semidirect
60. #16811321C22semidirect
61. #16811319C22semidirect
62. #16811317C22semidirect
63. #16811315C22semidirect
64. #16811315C22semidirect
65. #16811314C22semidirect
66. #16811313C22semidirect
67. #16811311C22semidirect
68. #16811311C22semidirect
69. #16811309C22semidirect
70. #16811305C22semidirect
71. #16811302C22semidirect
72. #16811301C22semidirect
73. #16811300C22semidirect
74. #16811300C22semidirect
75. #16811298C22semidirect
76. #16811297C22semidirect
77. #16811295C22semidirect
78. #16811294C22semidirect
79. #16811292C22semidirect
80. #16811292C22semidirect
81. #16811288C22semidirect
82. Q8×C22⋊D53C22semidirect
83. Q8×C22⋊D53C22semidirect
84. #16811285C22semidirect
85. #16811285C22semidirect
86. #16811284C22semidirect
87. #16811284C22semidirect
88. #16811283C22semidirect
89. #16811277C22semidirect
90. #16811276C22semidirect
91. #16811275C22semidirect
92. #16811275C22semidirect
93. #16811274C22semidirect
94. #16811273C22semidirect
95. #16811269C22semidirect
96. #16811269C22semidirect
97. #16811268C22semidirect
98. #16811266C22semidirect
99. #16811266C22semidirect
100. #16811265C22semidirect
101. #16811264C22semidirect
102. #16811264C22semidirect
103. #16811262C22semidirect
104. D4×D212C22semidirect
105. #16811257C22semidirect
106. #16811257C22semidirect
107. #16811247C22semidirect
108. #16811246C22semidirect
109. #16811246C22semidirect
110. #16811245C22semidirect
111. #16811245C22semidirect
112. #16811244C22semidirect
113. #16811242C22semidirect
114. #16811234C22semidirect
115. #16811233C22semidirect
116. #16811231C22semidirect
117. #16811229C22semidirect
118. #16811228C22semidirect
119. #16811226C22semidirect
120. #16811224C22semidirect
121. #16811221C22semidirect
122. #16811221C22semidirect
123. #16811219C22semidirect
124. #16811214C22semidirect
125. #16811212C22semidirect
126. #16811212C22semidirect
127. #16811209C22semidirect
128. #16811207C22semidirect
129. #16811179C22semidirect
130. #16811179C22semidirect
131. #16811178C22semidirect
132. #16811177C22semidirect
133. #16811175C22semidirect
134. #16811174C22semidirect
135. #16811172C22semidirect
136. #16811172C22semidirect
137. #16811170C22semidirect
138. #16811168C22semidirect
139. #16811160C22semidirect
140. #16811159C22semidirect
141. #16811159C22semidirect
142. #16811158C22semidirect
143. #16811158C22semidirect
144. #16811158C22semidirect
145. #16811157C22semidirect
146. #16811157C22semidirect
147. #16811156C22semidirect
148. #16811156C22semidirect
149. #16811156C22semidirect
150. #16811156C22semidirect
151. #16811156C22semidirect
152. #16811155C22semidirect
153. #16811154C22semidirect
155. #16811153C22semidirect
156. #16811152C22semidirect
157. #16811152C22semidirect
158. #16811151C22semidirect
159. #16811151C22semidirect
160. #16811151C22semidirect
162. #16811150C22semidirect
163. #16811150C22semidirect
164. #126×D53C22semidirect
165. #126×D53C22semidirect
166. #125×D53C22semidirect
167. #124×D53C22semidirect
168. #16811136C22semidirect
169. #16811136C22semidirect
170. #16811136C22semidirect
171. #16811136C22semidirect
172. #16811133C22semidirect
173. #16811133C22semidirect
174. #16811132C22semidirect
175. #16811131C22semidirect
176. #123×D53C22semidirect
177. #123×D53C22semidirect
178. C22⋊Q8×D53C22semidirect
180. #16811106C22semidirect
181. #16811105C22semidirect
182. #16811105C22semidirect
183. #16811105C22semidirect
184. #16811105C22semidirect
185. #16811104C22semidirect
186. #16811103C22semidirect
187. #16811101C22semidirect
188. #16811099C22semidirect
189. #16811099C22semidirect
190. #16811097C22semidirect
191. #16811097C22semidirect
192. #16811095C22semidirect
193. #16811095C22semidirect
198. C4×#11719949C22semidirect
199. C4×#11719949C22semidirect
200. C4×#11719949C22semidirect
201. C4×#11719949C22semidirect
202. C4×#11719949C22semidirect
203. C4×#11719949C22semidirect
204. C4×#11719949C22semidirect
205. C4×#11719949C22semidirect
206. #16811091C22semidirect
207. C4×#11719947C22semidirect
208. C4×#11719947C22semidirect
209. C4×#11719947C22semidirect
210. C2×Q8×Dic53C22semidirect
211. C4×Q8×D53C22semidirect
212. C2×C4×D212C22semidirect
213. C2×#13133179C22semidirect
214. C4×D4×D53C22semidirect
215. C4×D4×D53C22semidirect
216. C4×D4×D53C22semidirect
217. C2×#13133175C22semidirect
218. C2×#13133175C22semidirect
219. #117×D53C22semidirect
220. #117×D53C22semidirect
221. #117×D53C22semidirect
222. C2×C42×D53C22semidirect
223. C53×#557C22semidirect
224. C53×#556C22semidirect
225. C53×#554C22semidirect
226. C53×#553C22semidirect
227. C53×#552C22semidirect
228. D4×Q8×C53C22semidirect
229. C53×#548C22semidirect
230. C53×#548C22semidirect
231. C53×#542C22semidirect
232. C53×#541C22semidirect
233. C53×#529C22semidirect
234. C53×#529C22semidirect
235. C53×#520C22semidirect
236. C53×#519C22semidirect
237. C2×C4×Q8×C53C22semidirect
662. #11719949#41semidirect
1022. #3516D53semidirect
1062. #557C2×D53semidirect
1068. #556C2×D53semidirect
1077. #554C2×D53semidirect
1086. #553C2×D53semidirect
1095. #552C2×D53semidirect
1109. D4×Q8C2×D53semidirect
1115. #548C2×D53semidirect
1116. #548C2×D53semidirect
1142. #542C2×D53semidirect
1146. #541C2×D53semidirect
1194. #529C2×D53semidirect
1195. #529C2×D53semidirect
1219. #520C2×D53semidirect
1223. #519C2×D53semidirect
1246. C2×C4×Q8C2×D53semidirect
1258. C53#62816semidirect

Maximal subgroups

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

subgroupindex
#202888272
#202888172
#202888022
#202887912
#202887902
#202887822
#202887602
#202887432
#202887262
#202887152
#202887082
#202886912
#202886742
#202886592
#202886492
#202883072
#202882972
#202882812
#202882742
#202882682
D4×#117199492
#202882042
#202881062
#202881022
#202880092
#529×D532
#202879172
#202879152
C2×C4×#117199492
C53×#35162
#6281653