Finite Group Databasebeta

← #28251692

Subgroups — #28251692

Order 13568.

2002 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288118C211yesmaximal, characteristic, complemented
2#20287914C211yesmaximal, characteristic
3#20284580C211yesmaximal, characteristic, complemented
4#20284578C211yesmaximal, characteristic, complemented
5#20284574C211yesmaximal, characteristic, complemented
6#20284572C211yesmaximal, characteristic, complemented
7#20284569C211yesmaximal, characteristic, complemented
8#20284567C211yesmaximal, characteristic, complemented
9#20284563C211yesmaximal, characteristic, complemented
10#20284561C211yesmaximal, characteristic, complemented
11#20284556C211yesmaximal, characteristic, complemented
12#20284554C211yesmaximal, characteristic, complemented
13#20284552C211yesmaximal, characteristic, complemented
14#20284550C211yesmaximal, characteristic, complemented
15#20284545C211yesmaximal, characteristic, complemented
16#20284543C211yesmaximal, characteristic, complemented
17#20284541C211yesmaximal, characteristic, complemented
18#20284539C211yesmaximal, characteristic, complemented
19#20284505C211yesmaximal, characteristic, complemented
20#20284503C211yesmaximal, characteristic, complemented
21#20284501C211yesmaximal, characteristic, complemented
22#20284501C211yesmaximal, characteristic, complemented
23#20284499C211yesmaximal, characteristic, complemented
24#20284499C211yesmaximal, characteristic, complemented
25#20284497C211yesmaximal, characteristic, complemented
26#20283303C211yesmaximal, characteristic, complemented
27#427×D53C211yesmaximal, characteristic, complemented
28C2×#16810648C211yesmaximal, characteristic, complemented
29#20283230C211yesmaximal, characteristic
30#416×D53C211yesmaximal, characteristic
31C53×#3076C211yesmaximal, characteristic, complemented
32C2×#41×D53C2211yescharacteristic
33C22×#11719912C2211yescharacteristic
34C22×C8×D53C2211yescharacteristic
35#16811253C2211yescharacteristic
36#16811253C2211yescharacteristic
37#16811253C2211yescharacteristic, complemented
38#16811253C2211yescharacteristic, complemented
39#16811252—21no—
40#16811252—21no—
41#16811250C2211yescharacteristic
42#16811250C2211yescharacteristic
43#16811250C2211yescharacteristic, complemented
44#16811250C2211yescharacteristic, complemented
45#16811248—21no—
46#16811248—21no—
47#16811180C2211yescharacteristic, complemented
48#16811177—21no—
49#16811177—21no—
50#16811177—21no—
51#16811177—21no—
52#16811176C2211yescharacteristic, complemented
53#16811176C2211yescharacteristic, complemented
54#16811105C2211yescharacteristic
55#16811105C2211yescharacteristic
56#16811102—21no—
57#16811102—21no—
58#16811102C2211yescharacteristic
59#16811102C2211yescharacteristic
60#16811099C2211yescharacteristic
61#16811099C2211yescharacteristic
62#16811095—21no—
63#16811095—21no—
64#16811095C2211yescharacteristic
65#16811095C2211yescharacteristic
66#41×Dic53C2211yescharacteristic
67C4×#11719945—21no—
68C4×#11719945C2211yescharacteristic
69#16811091—21no—
70#16811091C2211yescharacteristic
71C2×#13133174—21no—
72C2×#13133174C2211yescharacteristic
73#117×D53—21no—
74#117×D53C2211yescharacteristic
75#117×D53C2211yescharacteristic
76#117×D53C2211yescharacteristic
77#16810933C2211yescharacteristic, complemented
78#16810933C2211yescharacteristic, complemented
79#16810932C2211yescharacteristic, complemented
80#16810932C2211yescharacteristic, complemented
81#16810931C2211yescharacteristic, complemented
82#16810931C2211yescharacteristic, complemented
83#16810930C2211yescharacteristic, complemented
84#16810930C2211yescharacteristic, complemented
85#16810929C2211yescharacteristic, complemented
86#16810929C2211yescharacteristic, complemented
87#16810928C2211yescharacteristic, complemented
88#16810928C2211yescharacteristic, complemented
89#16810927C2211yescharacteristic, complemented
90#16810927C2211yescharacteristic, complemented
91#16810926C2211yescharacteristic, complemented
92#16810926C2211yescharacteristic, complemented
93#16810925C2211yescharacteristic, complemented
94#16810925C2211yescharacteristic, complemented
95#16810924C2211yescharacteristic, complemented
96#16810924C2211yescharacteristic, complemented
97#16810923C2211yescharacteristic, complemented
98#16810923C2211yescharacteristic, complemented
99#16810922C2211yescharacteristic, complemented
100#16810922C2211yescharacteristic, complemented
101#16810921C2211yescharacteristic, complemented
102#16810921C2211yescharacteristic, complemented
103#16810920C2211yescharacteristic, complemented
104#16810920C2211yescharacteristic, complemented
105#16810919C2211yescharacteristic, complemented
106#16810918C2211yescharacteristic, complemented
107#16810917C2211yescharacteristic, complemented
108#16810917C2211yescharacteristic, complemented
109#16810916C2211yescharacteristic, complemented
110#16810916C2211yescharacteristic, complemented
111#16810915C2211yescharacteristic, complemented
112#16810914C2211yescharacteristic, complemented
113#16810913C2211yescharacteristic, complemented
114#16810912C2211yescharacteristic, complemented
115#16810912C2211yescharacteristic, complemented
116#16810911C2211yescharacteristic, complemented
117#16810911C2211yescharacteristic, complemented
118#16810910C2211yescharacteristic, complemented
119#16810909C2211yescharacteristic, complemented
120#16810908C2211yescharacteristic, complemented
121#16810907C2211yescharacteristic, complemented
122#16810907C2211yescharacteristic, complemented
123#16810906C2211yescharacteristic, complemented
124#16810906C2211yescharacteristic, complemented
125#16810905C2211yescharacteristic, complemented
126#16810904C2211yescharacteristic, complemented
127#16810903C2211yescharacteristic, complemented
128#16810902C2211yescharacteristic, complemented
129#16810902C2211yescharacteristic, complemented
130#16810901C2211yescharacteristic, complemented
131#16810901C2211yescharacteristic, complemented
132#16810900C2211yescharacteristic, complemented
133#16810664C2211yescharacteristic
134#16810664C2211yescharacteristic
135#16810664C2211yescharacteristic, complemented
136#16810664C2211yescharacteristic, complemented
137#16810662C2211yescharacteristic
138#16810662C2211yescharacteristic
139#16810662C2211yescharacteristic, complemented
140#16810662C2211yescharacteristic, complemented
141#16810661C2211yescharacteristic, complemented
142#16810661C2211yescharacteristic, complemented
143#16810660C2211yescharacteristic
144#16810660C2211yescharacteristic
145#16810659C2211yescharacteristic, complemented
146#16810659C2211yescharacteristic, complemented
147#16810659C2211yescharacteristic, complemented
148#16810659C2211yescharacteristic, complemented
149#16810658C2211yescharacteristic
150#16810658C2211yescharacteristic
151#107×D53C2211yescharacteristic, complemented
152#107×D53C2211yescharacteristic, complemented
153#106×D53C2211yescharacteristic, complemented
154#106×D53C2211yescharacteristic, complemented
155#16810648C2211yescharacteristic
156#16810648C2211yescharacteristic
157#16810648C2211yescharacteristic
158#16810648C2211yescharacteristic
159#16810648C2211yescharacteristic, complemented
160#16810648C2211yescharacteristic, complemented
161#16810648C2211yescharacteristic, complemented
162#16810648C2211yescharacteristic, complemented
163C2×C4⋊#88322C2211yescharacteristic, complemented
164C2×#13133146C2211yescharacteristic, complemented
165C2×#13133146C2211yescharacteristic, complemented
166#16810630C2211yescharacteristic
167#16810630C2211yescharacteristic
168#16810626C2211yescharacteristic
169#16810626C2211yescharacteristic
170#16810623C2211yescharacteristic
171#16810623C2211yescharacteristic
172#16810621C2211yescharacteristic
173#16810621C2211yescharacteristic
174#16810620C2211yescharacteristic
175#16810620C2211yescharacteristic
176#16810619C2211yescharacteristic
177#16810619C2211yescharacteristic
178#16810618C2211yescharacteristic
179#16810618C2211yescharacteristic
180#16810617C2211yescharacteristic
181#16810617C2211yescharacteristic
182#16810616C2211yescharacteristic
183#16810616C2211yescharacteristic
184#103×D53C2211yescharacteristic
185#103×D53C2211yescharacteristic
186#102×D53C2211yescharacteristic
187#102×D53C2211yescharacteristic
188C53×#533C2211yescharacteristic, complemented
189C4×#41×C53C2211yescharacteristic
190C53×#479C2211yescharacteristic, complemented
191C53×#479C2211yescharacteristic, complemented
192C53×#478C2211yescharacteristic, complemented
193C53×#478C2211yescharacteristic, complemented
194C53×#477C2211yescharacteristic, complemented
195C53×#476C2211yescharacteristic, complemented
196C53×#475C2211yescharacteristic, complemented
197C53×#474C2211yescharacteristic, complemented
198C53×#427C2211yescharacteristic, complemented
199C53×#427C2211yescharacteristic, complemented
200C2×C4⋊C8×C53C2211yescharacteristic, complemented
201C53×#416C2211yescharacteristic
202C53×#416C2211yescharacteristic
203C2×#11719949C2311yescharacteristic
204C2×#11719945—21no—
205C2×#11719945C2311yescharacteristic
206C2×#11719947—21no—
207C2×#11719947C2311yescharacteristic
208#41×D53—24no—
209#41×D53Q818yescomplemented
210C2×Q8×D53C2311yescharacteristic
211C2×D4×D53—21no—
212C2×D4×D53C2311yescharacteristic
213C22×C4×D53—21no—
214C22×C4×D53C2311yescharacteristic
215C2×#11719912—24no—
216C2×#11719912C2311yescharacteristic
217C2×#11719912C2311yescharacteristic
218C2×#11719912C2311yescharacteristic
219C2×#11719912C2311yescharacteristic
220C22×#88322C2311yescharacteristic
221C22×#88322C2311yescharacteristic
222C2×C8×D53—24no—
223C2×C8×D53C2311yescharacteristic
224C2×C8×D53C2311yescharacteristic
225C2×C8×D53C2311yescharacteristic
226C2×C8×D53C2311yescharacteristic
227#13133217C2311yescharacteristic
228#13133217C2311yescharacteristic
229#13133216—21no—
230#13133216—21no—
231#13133216—21no—
232#13133216—21no—
233#13133216C2311yescharacteristic
234#13133216C2311yescharacteristic
235#13133216C2311yescharacteristic
236#13133216C2311yescharacteristic
237#13133215—21no—
238#13133215—21no—
239#13133215—21no—
240#13133215—21no—
241#13133209C2311yescharacteristic
242#13133209C2311yescharacteristic
243#13133208C2311yescharacteristic
244#13133208C2311yescharacteristic
245#13133208C2311yescharacteristic
246#13133208C2311yescharacteristic
247#13133207—21no—
248#13133207—21no—
249#13133207—21no—
250#13133207—21no—
251#13133207—21no—
252#13133207—21no—
253#13133207—21no—
254#13133207—21no—
255#13133197—21no—
256#13133197—21no—
257#13133197—21no—
258#13133197—21no—
259#13133196—21no—
260#13133196—21no—
261#13133195—21no—
262#13133195—21no—
263#13133195—21no—
264#13133195—21no—
265#13133195—21no—
266#13133195—21no—
267#13133195—21no—
268#13133195—21no—
269#13133194—21no—
270#13133194—21no—
271#13133194—21no—
272#13133194—21no—
273#13133193—21no—
274#13133193—21no—
275#13133193—21no—
276#13133193—21no—
277Q8×Dic53C2311yescharacteristic
278Q8×Dic53C2311yescharacteristic
279C4×Dic106—21no—
280C4×Dic106—21no—
281C4×Dic106—21no—
282C4×Dic106—21no—
283C4×Dic106—21no—
284C4×Dic106—21no—
285C4×Dic106—21no—
286C4×Dic106—21no—
287C4×Dic106C2311yescharacteristic
288C4×Dic106C2311yescharacteristic
289#13133182—21no—
290#13133182—21no—
291#13133182C2311yescharacteristic
292#13133182C2311yescharacteristic
293C4×D212—21no—
294C4×D212—21no—
295C4×D212C2311yescharacteristic
296C4×D212C2311yescharacteristic
297D4×Dic53—21no—
298D4×Dic53—21no—
299D4×Dic53C2311yescharacteristic
300D4×Dic53C2311yescharacteristic
301#13133179—21no—
302#13133179—21no—
303#13133179C2311yescharacteristic
304#13133179C2311yescharacteristic
305C4×C22⋊D53—21no—
306C4×C22⋊D53—21no—
307C4×C22⋊D53—21no—
308C4×C22⋊D53—21no—
309C4×C22⋊D53—21no—
310C4×C22⋊D53—21no—
311#13133177—21no—
312#13133177—21no—
313#13133177—21no—
314#13133177—21no—
315#13133177—21no—
316#13133177—21no—
317#13133176—21no—
318#13133176C2311yescharacteristic
319#13133176C2311yescharacteristic
320#13133176C2311yescharacteristic
321#13133175—21no—
322#13133175—21no—
323#13133175C2311yescharacteristic
324#13133175C2311yescharacteristic
325#13133175C2311yescharacteristic
326#13133175C2311yescharacteristic
327#13133175C2311yescharacteristic
328#13133175C2311yescharacteristic
329#13133174—21no—
330#13133174—21no—
331#13133174—21no—
332#13133174—21no—
333#13133174—21no—
334#13133174—21no—
335#13133174—21no—
336#13133174—21no—
337#13133174—21no—
338#13133174D411yescharacteristic
339#13133174D411yescharacteristic
340#13133174D411yescharacteristic
341#13133174D411yescharacteristic
342#13133174C2311yescharacteristic
343#13133174C2311yescharacteristic
344#13133174C2311yescharacteristic
345#13133174C2311yescharacteristic
346#13133173—21no—
347#13133173—21no—
348#13133173—21no—
349#13133173—21no—
350#13133173—21no—
351C2×#11719919—21no—
352C2×#11719919—21no—
353C2×#11719919D411yescharacteristic
354C2×#11719919D411yescharacteristic
355C4⋊C4×D53—21no—
356C4⋊C4×D53—21no—
357C4⋊C4×D53C2311yescharacteristic
358C4⋊C4×D53C2311yescharacteristic
359C4⋊C4×D53C2311yescharacteristic
360C4⋊C4×D53C2311yescharacteristic
361C4⋊C4×D53C2311yescharacteristic
362C4⋊C4×D53C2311yescharacteristic
363C2×#11719921—21no—
364C2×#11719921—21no—
365C2×#11719921D411yescharacteristic
366C2×#11719921D411yescharacteristic
367C22⋊C4×D53—21no—
368C22⋊C4×D53—21no—
369C22⋊C4×D53—21no—
370C22⋊C4×D53—21no—
371C22⋊C4×D53—21no—
372C2×C4×Dic53—21no—
373C2×C4×Dic53C2311yescharacteristic
374C42×D53—21no—
375C42×D53—21no—
376C42×D53—21no—
377C42×D53—21no—
378C42×D53—21no—
379#13133151C2311yescharacteristic
380#13133151C2311yescharacteristic
381#13133151C2311yescharacteristic
382#13133151C2311yescharacteristic
383#13133150C2311yescharacteristic
384#13133150C2311yescharacteristic
385#13133150C2311yescharacteristic
386#13133150C2311yescharacteristic
387#13133150C2311yescharacteristic
388#13133150C2311yescharacteristic
389#13133150C2311yescharacteristic
390#13133150C2311yescharacteristic
391#13133149C2311yescharacteristic
392#13133149C2311yescharacteristic
393#13133149C2311yescharacteristic
394#13133149C2311yescharacteristic
395#13133148C2311yescharacteristic
396#13133148C2311yescharacteristic
397#13133148C2311yescharacteristic
398#13133148C2311yescharacteristic
399#13133148C2311yescharacteristic
400#13133148C2311yescharacteristic
401#13133148C2311yescharacteristic
402#13133148C2311yescharacteristic
403C4⋊#88322C2311yescharacteristic
404C4⋊#88322C2311yescharacteristic
405C4⋊#88322C2311yescharacteristic
406C4⋊#88322C2311yescharacteristic
407#13133146C2311yescharacteristic
408#13133146C2311yescharacteristic
409#13133146C2311yescharacteristic
410#13133146C2311yescharacteristic
411#13133146C2311yescharacteristic
412#13133146C2311yescharacteristic
413#13133146C2311yescharacteristic
414#13133146C2311yescharacteristic
415#13133142C2311yescharacteristic
416#13133142C2311yescharacteristic
417#13133142C2311yescharacteristic
418#13133142C2311yescharacteristic
419#13133141C2311yescharacteristic
420#13133141C2311yescharacteristic
421#13133141C2311yescharacteristic
422#13133141C2311yescharacteristic
423#13133140C2311yescharacteristic
424#13133140C2311yescharacteristic
425#13133140C2311yescharacteristic
426#13133140C2311yescharacteristic
427#13133139C2311yescharacteristic
428#13133139C2311yescharacteristic
429#13133139C2311yescharacteristic
430#13133139C2311yescharacteristic
431#13133138C2311yescharacteristic
432#13133138C2311yescharacteristic
433#13133138C2311yescharacteristic
434#13133138C2311yescharacteristic
435#13133137C2311yescharacteristic
436#13133137C2311yescharacteristic
437#13133137C2311yescharacteristic
438#13133137C2311yescharacteristic
439C2×#41×C53C2311yescharacteristic
440C22×C8×C53C2311yescharacteristic
441C22×C8×C53C2311yescharacteristic
442C4⋊Q8×C53C2311yescharacteristic
443C4⋊Q8×C53C2311yescharacteristic
444#125×C53C2311yescharacteristic
445#125×C53C2311yescharacteristic
446C22⋊Q8×C53—21no—
447C22⋊Q8×C53—21no—
448C4×Q8×C53—21no—
449C4×Q8×C53—21no—
450C4×Q8×C53C2311yescharacteristic
451C4×Q8×C53C2311yescharacteristic
452C4×D4×C53—21no—
453C4×D4×C53—21no—
454C4×D4×C53C2311yescharacteristic
455C4×D4×C53C2311yescharacteristic
456#117×C53—21no—
457#117×C53C2311yescharacteristic
458#117×C53C2311yescharacteristic
459#117×C53C2311yescharacteristic
460C2×C42×C53—21no—
461C2×C42×C53C2311yescharacteristic
462#107×C53C2311yescharacteristic
463#107×C53C2311yescharacteristic
464#107×C53C2311yescharacteristic
465#107×C53C2311yescharacteristic
466#106×C53C2311yescharacteristic
467#106×C53C2311yescharacteristic
468#106×C53C2311yescharacteristic
469#106×C53C2311yescharacteristic
470C4⋊C8×C53C2311yescharacteristic
471C4⋊C8×C53C2311yescharacteristic
472C4⋊C8×C53C2311yescharacteristic
473C4⋊C8×C53C2311yescharacteristic
474#103×C53C2311yescharacteristic
475#103×C53C2311yescharacteristic
476#103×C53C2311yescharacteristic
477#103×C53C2311yescharacteristic
478#102×C53C2311yescharacteristic
479#102×C53C2311yescharacteristic
480#102×C53C2311yescharacteristic
481#102×C53C2311yescharacteristic
482C23×D53—21no—
483C23×D53C2×D411yescharacteristic
484#41×C53—22no—
485#41×C53C2×Q814yes—
486C2×Q8×C53—21no—
487C2×Q8×C53—21no—
488C2×Q8×C53C2411yescharacteristic
489C2×D4×C53—21no—
490C2×D4×C53C2411yescharacteristic
491C22×C4×C53—21no—
492C22×C4×C53—21no—
493C22×C4×C53—21no—
494C22×C4×C53C2×D411yescharacteristic
495C22×C4×C53C2×D411yescharacteristic
496C22×C4×C53C2411yescharacteristic
497C2×C22⋊D53—21no—
498C2×C22⋊D53—21no—
499C2×C22⋊D53—21no—
500C22×Dic53—21no—
501C22×Dic53—21no—
502C22×Dic53—21no—
503C22×Dic53C2×D411yescharacteristic
504C22×Dic53C2×D411yescharacteristic
505C22×Dic53C2×D411yescharacteristic
506#11719949—22no—
507#11719949C2×Q814yes—
508Q8×D53—22no—
509Q8×D53C2×Q814yes—
510#11719947—28no—
511#11719947—22no—
512#11719947C2×Q814yes—
513D4×D53—28no—
514D4×D53—22no—
515D4×D53C2×Q814yes—
516#11719945—22no—
517#11719945—28no—
518#11719945C2×Q814yes—
519C2×D212—21no—
520C2×D212C2411yescharacteristic
521C2×C4×D53—21no—
522C2×C4×D53—21no—
523C2×C4×D53—21no—
524C2×C4×D53—28no—
525C2×C4×D53—21no—
526C2×C4×D53—21no—
527C2×C4×D53—21no—
528C2×C4×D53—21no—
529C2×C4×D53—21no—
530C2×C4×D53—21no—
531C2×C4×D53—21no—
532C2×C4×D53—21no—
533C2×C4×D53—21no—
534C2×C4×D53—21no—
535C2×C4×D53C2×D411yescharacteristic
536C2×C4×D53C2×D411yescharacteristic
537C2×C4×D53C2×Q814yes—
538C2×C4×D53#4114yes—
539C2×C4×D53C2411yescharacteristic
540C2×C4×D53C2411yescharacteristic
541C2×Dic106—21no—
542C2×Dic106—21no—
543C2×Dic106—21no—
544C2×Dic106—21no—
545C2×Dic106—21no—
546C2×Dic106—21no—
547C2×Dic106—21no—
548C2×Dic106C2411yescharacteristic
549C2×C8×C53—22no—
550C2×C8×C53—22no—
551C2×C8×C53C2411yescharacteristic
552C2×C8×C53C2411yescharacteristic
553C2×C8×C53C2411yescharacteristic
554C2×C8×C53C2411yescharacteristic
555C4⋊C4×C53—21no—
556C4⋊C4×C53—21no—
557C4⋊C4×C53—21no—
558C4⋊C4×C53—21no—
559C4⋊C4×C53—21no—
560C4⋊C4×C53—21no—
561C4⋊C4×C53—21no—
562C4⋊C4×C53—21no—
563C4⋊C4×C53C2411yescharacteristic
564C4⋊C4×C53C2411yescharacteristic
565C4⋊C4×C53C2411yescharacteristic
566C4⋊C4×C53C2411yescharacteristic
567C4⋊C4×C53C2411yescharacteristic
568C4⋊C4×C53C2411yescharacteristic
569C22⋊C4×C53—21no—
570C22⋊C4×C53—21no—
571C22⋊C4×C53—21no—
572C22⋊C4×C53—21no—
573C22⋊C4×C53—21no—
574C42×C53—21no—
575C42×C53—21no—
576C42×C53—21no—
577C42×C53—21no—
578C42×C53—21no—
579C42×C53C2×D411yescharacteristic
580C42×C53C2×D411yescharacteristic
581C42×C53C2411yescharacteristic
582C42×C53C2411yescharacteristic
583C22⋊Dic53—21no—
584C22⋊Dic53—21no—
585C22⋊Dic53—21no—
586C22⋊Dic53—21no—
587C22⋊Dic53—21no—
588#11719921—21no—
589#11719921—21no—
590#11719921—21no—
591#11719921—21no—
592#11719921—21no—
593#11719921—21no—
594#11719921—21no—
595#11719921—21no—
596#11719921—21no—
597#11719921—21no—
598#11719921C2×D411yescharacteristic
599#11719921C2×D411yescharacteristic
600#11719921C2×D411yescharacteristic
601#11719921C2×D411yescharacteristic
602#11719921C2×D411yescharacteristic
603#11719921C2×D411yescharacteristic
604#11719921C2×D411yescharacteristic
605#11719921C2×D411yescharacteristic
606C4⋊Dic53—21no—
607C4⋊Dic53—21no—
608C4⋊Dic53—21no—
609C4⋊Dic53—21no—
610C4⋊Dic53—21no—
611C4⋊Dic53—21no—
612C4⋊Dic53—21no—
613C4⋊Dic53—21no—
614C4⋊Dic53C2411yescharacteristic
615C4⋊Dic53C2411yescharacteristic
616C4⋊Dic53C2411yescharacteristic
617C4⋊Dic53C2411yescharacteristic
618C4⋊Dic53C2411yescharacteristic
619C4⋊Dic53C2411yescharacteristic
620#11719919—21no—
621#11719919—21no—
622#11719919—21no—
623#11719919—21no—
624#11719919—21no—
625#11719919—21no—
626#11719919—21no—
627#11719919—21no—
628#11719919—21no—
629#11719919—21no—
630#11719919—21no—
631#11719919—21no—
632#11719919—21no—
633#11719919—21no—
634#11719919—21no—
635#11719919—21no—
636#11719919—21no—
637#11719919—21no—
638#11719919—21no—
639#11719919—21no—
640#11719919—21no—
641#11719919—21no—
642#11719919C2×D411yescharacteristic
643#11719919C2×D411yescharacteristic
644#11719919C2×D411yescharacteristic
645#11719919C2×D411yescharacteristic
646#11719919C2×D411yescharacteristic
647#11719919C2×D411yescharacteristic
648#11719919C2×D411yescharacteristic
649#11719919C2×D411yescharacteristic
650C4×Dic53—21no—
651C4×Dic53—21no—
652C4×Dic53—21no—
653C4×Dic53—21no—
654C4×Dic53—21no—
655C4×Dic53—21no—
656C4×Dic53—21no—
657C4×Dic53—21no—
658C4×Dic53—21no—
659C4×Dic53—21no—
660C4×Dic53—21no—
661C4×Dic53—21no—
662C4×Dic53—21no—
663C4×Dic53—21no—
664C4×Dic53—21no—
665C4×Dic53C2×D411yescharacteristic
666C4×Dic53C2×D411yescharacteristic
667C4×Dic53C2411yescharacteristic
668C4×Dic53C2411yescharacteristic
669C2×#88322—22no—
670C2×#88322—22no—
671C2×#88322C2411yescharacteristic
672C2×#88322C2411yescharacteristic
673C2×#88322C2411yescharacteristic
674C2×#88322C2411yescharacteristic
675#11719912—22no—
676#11719912—22no—
677#11719912—22no—
678#11719912—22no—
679C8×D53—22no—
680C8×D53—22no—
681C8×D53—22no—
682C8×D53—22no—
683C23×C53—21no—
684C23×C53C22×D411yescharacteristic
685C22×D53—21no—
686C22×D53—24no—
687C22×D53—41no—
688C22×D53—41no—
689C22×D53—81no—
690C22×D53—81no—
691C22×D53C22⋊Q814yes—
692C22×D53C22×D411yescharacteristic
693C22×D53C22×D411yescharacteristic
694Q8×C53—21no—
695Q8×C53—81no—
696Q8×C53—81no—
697Q8×C53C22×Q812yes—
698D4×C53—24no—
699D4×C53—21no—
700D4×C53C22×Q812yes—
701C2×C4×C53—21no—
702C2×C4×C53—24no—
703C2×C4×C53—21no—
704C2×C4×C53—21no—
705C2×C4×C53—21no—
706C2×C4×C53—21no—
707C2×C4×C53—21no—
708C2×C4×C53—21no—
709C2×C4×C53—41no—
710C2×C4×C53—41no—
711C2×C4×C53—81no—
712C2×C4×C53—81no—
713C2×C4×C53C22×D411yescharacteristic
714C2×C4×C53C22×D411yescharacteristic
715C2×C4×C53C22×D411yescharacteristic
716C2×C4×C53C22×D411yescharacteristic
717C2×C4×C53C22×D411yescharacteristic
718C2×C4×C53C22×Q812yes—
719C2×C4×C53C2×#4112yes—
720C2×C4×C53C2511yescharacteristic
721C22⋊D53—24no—
722C22⋊D53—24no—
723C22⋊D53—24no—
724C2×Dic53—21no—
725C2×Dic53—24no—
726C2×Dic53—21no—
727C2×Dic53—21no—
728C2×Dic53—21no—
729C2×Dic53—21no—
730C2×Dic53—21no—
731C2×Dic53—21no—
732C2×Dic53—41no—
733C2×Dic53—41no—
734C2×Dic53—81no—
735C2×Dic53—81no—
736C2×Dic53C22⋊Q814yes—
737C2×Dic53C22×D411yescharacteristic
738C2×Dic53C22×D411yescharacteristic
739C2×Dic53C22×D411yescharacteristic
740C2×Dic53C22×D411yescharacteristic
741C2×Dic53C22×D411yescharacteristic
742C2×Dic53C22×D411yescharacteristic
743D212—24no—
744D212—21no—
745D212C22×Q812yes—
746C4×D53—24no—
747C4×D53—24no—
748C4×D53—24no—
749C4×D53—81no—
750C4×D53—81no—
751C4×D53—81no—
752C4×D53—81no—
753C4×D53—81no—
754C4×D53—81no—
755C4×D53—81no—
756C4×D53—81no—
757C4×D53—81no—
758C4×D53—81no—
759C4×D53C22⋊Q814yes—
760C4×D53C22⋊Q814yes—
761C4×D53C22×Q812yes—
762C4×D53C22×Q812yes—
763C4×D53C2×#4112yes—
764C4×D53C2×#4112yes—
765Dic106—21no—
766Dic106—24no—
767Dic106—81no—
768Dic106—81no—
769Dic106—81no—
770Dic106—81no—
771Dic106—81no—
772Dic106—81no—
773Dic106C22×Q812yes—
774C8×C53—21no—
775C8×C53—21no—
776C8×C53—21no—
777C8×C53—21no—
778#88322—21no—
779#88322—21no—
780#88322—21no—
781#88322—21no—
782#60489—531nomaximal, Sylow
783C22×C53—21no—
784C22×C53—21no—
785C22×C53—22no—
786C22×C53—41no—
787C22×C53—41no—
788C22×C53C2×C22⋊Q812yes—
789C22×C53C23×D411yescharacteristic
790C2×D53—21no—
791C2×D53—21no—
792C2×D53—21no—
793C2×D53—21no—
794C2×D53—22no—
795C2×D53—44no—
796C2×D53—41no—
797C2×D53—41no—
798C2×D53—84no—
799C2×D53C2×C22⋊Q812yes—
800C2×D53C2×C22⋊Q812yes—
801C4×C53—21no—
802C4×C53—21no—
803C4×C53—21no—
804C4×C53—21no—
805C4×C53—22no—
806C4×C53—41no—
807C4×C53—41no—
808C4×C53—41no—
809C4×C53—41no—
810C4×C53—41no—
811C4×C53—41no—
812C4×C53C2×C22⋊Q812yes—
813C4×C53C23×Q811yescharacteristic
814C4×C53C22×#4111yescharacteristic
815Dic53—21no—
816Dic53—21no—
817Dic53—21no—
818Dic53—21no—
819Dic53—22no—
820Dic53—41no—
821Dic53—41no—
822Dic53—41no—
823Dic53—41no—
824Dic53—41no—
825Dic53—41no—
826Dic53C2×C22⋊Q812yes—
827Dic53C2×C22⋊Q812yes—
828#3458—531no—
829#3428—531no—
830#3084—531no—
831#3084—531no—
832#3084—531no—
833#3084—531no—
834#3083—531no—
835#3083—531no—
836#3083—531no—
837#3083—531no—
838#3082—531no—
839#3082—531no—
840#3082—531no—
841#3082—531no—
842#3081—531no—
843#3081—531no—
844#3081—531no—
845#3081—531no—
846#3076—531no—
847#3076—531no—
848#3076—531no—
849#3076—531no—
850#3076—531no—
851#3076—531no—
852#3076—531no—
853#3076D5311yescharacteristic, complemented
854#2911—531no—
855C2×#427—531no—
856C2×#424—531no—
857#2896—531no—
858C2×#416—531no—
859C2×C53—22no—
860C2×C53—42no—
861C2×C53C22×C22⋊Q811yescharacteristic
862C2×C53#358411yescharacteristic
863C2×C53#358411yescharacteristic
864D53—22no—
865D53—22no—
866D53—42no—
867C22×#41—531no—
868C22×M16—531no—
869C23×C8—531no—
870#544—531no—
871#544—531no—
872#544—531no—
873#544—531no—
874#544—531no—
875#544—531no—
876#544—531no—
877#544—531no—
878#544—1061no—
879#544—1061no—
880#543—1061no—
881#543—1061no—
882#533—531no—
883#533—531no—
884#533—531no—
885#533—1061no—
886#533—1061no—
887#533—1061no—
888#533—1061no—
889#533C2×D5311yescharacteristic, complemented
890#520—531no—
891#520—531no—
892#520—531no—
893#520—531no—
894#520—1061no—
895#520—1061no—
896#519—531no—
897#519—531no—
898#518—531no—
899#518—531no—
900#518—1061no—
901#518—1061no—
902C4×#41—531no—
903C4×#41—531no—
904C4×#41—531no—
905C4×#41—1061no—
906C4×#41—1061no—
907C4×#41C2×D5311yescharacteristic
908C2×#117—531no—
909C2×#117—531no—
910C2×#117—531no—
911C2×#117—531no—
912C2×#117—1061no—
913C2×#117—1061no—
914#479—531no—
915#479—531no—
916#479—531no—
917#479—531no—
918#479—531no—
919#479—531no—
920#479—531no—
921#479—531no—
922#479—531no—
923#479—531no—
924#479—531no—
925#479—531no—
926#479—531no—
927#479—531no—
928#479C2×D5311yescharacteristic, complemented
929#479C2×D5311yescharacteristic, complemented
930#478—531no—
931#478—531no—
932#478—531no—
933#478—531no—
934#478—531no—
935#478—531no—
936#478—531no—
937#478—531no—
938#478—531no—
939#478—531no—
940#478—531no—
941#478—531no—
942#478—531no—
943#478—531no—
944#478C2×D5311yescharacteristic, complemented
945#478C2×D5311yescharacteristic, complemented
946#477—531no—
947#477—531no—
948#477—531no—
949#477—531no—
950#477—531no—
951#477—531no—
952#477—531no—
953#477C2×D5311yescharacteristic, complemented
954#476—531no—
955#476—531no—
956#476—531no—
957#476—531no—
958#476—531no—
959#476—531no—
960#476—531no—
961#476C2×D5311yescharacteristic, complemented
962#475—531no—
963#475—531no—
964#475—531no—
965#475—531no—
966#475—531no—
967#475—531no—
968#475—531no—
969#475C2×D5311yescharacteristic, complemented
970#474—531no—
971#474—531no—
972#474—531no—
973#474—531no—
974#474—531no—
975#474—531no—
976#474—531no—
977#474C2×D5311yescharacteristic, complemented
978#428—531no—
979#428—531no—
980#428—531no—
981#428—531no—
982#428—531no—
983#428—531no—
984#428—531no—
985#428—531no—
986#427—531no—
987#427—531no—
988#427—531no—
989#427—531no—
990#427—531no—
991#427—531no—
992#427—531no—
993#427—531no—
994#427—531no—
995#427—531no—
996#427C2×D5311yescharacteristic, complemented
997#427C2×D5311yescharacteristic, complemented
998C2×#107—531no—
999C2×#107—531no—
1000C2×#106—531no—
1001C2×#106—531no—
1002#424—531no—
1003#424—531no—
1004#424—531no—
1005#424—531no—
1006#424—531no—
1007#424—531no—
1008#424—531no—
1009#424—531no—
1010C2×C4⋊C8—531no—
1011C2×C4⋊C8—531no—
1012C2×C4⋊C8—531no—
1013C2×C4⋊C8C2×D5311yescharacteristic, complemented
1014#419—531no—
1015#419—531no—
1016#418—531no—
1017#418—531no—
1018#417—531no—
1019#417—531no—
1020#417—531no—
1021#417—531no—
1022#416—531no—
1023#416—531no—
1024#416—531no—
1025#416—531no—
1026#416—531no—
1027#416—531no—
1028#416—531no—
1029#416—531no—
1030#416—531no—
1031#416—531no—
1032#416C2×D5311yescharacteristic
1033#416C2×D5311yescharacteristic
1034C2×#103—531no—
1035C2×#103—531no—
1036C2×#102—531no—
1037C2×#102—531no—
1038C53#6048911yescharacteristic, complemented, Sylow
1039C2×#41—538no—
1040C2×#41—531no—
1041C2×#41—531no—
1042C2×#41—531no—
1043C2×#41—1061no—
1044C2×#41—1061no—
1045C2×#41—1064no—
1046C2×#41C22×D5311yescharacteristic
1047C22×Q8—531no—
1048C22×D4—531no—
1049C22×D4—1061no—
1050C23×C4—531no—
1051C23×C4—1061no—
1052C2×M16—531no—
1053C2×M16—531no—
1054C2×M16—531no—
1055C2×M16—531no—
1056C2×M16—1064no—
1057C22×C8—531no—
1058C22×C8—531no—
1059C22×C8—531no—
1060C22×C8—531no—
1061C22×C8—531no—
1062C22×C8—531no—
1063C22×C8—1064no—
1064C22×C8C22×D5311yescharacteristic
1065C22×C8C22×D5311yescharacteristic
1066C4⋊Q8—531no—
1067C4⋊Q8—531no—
1068C4⋊Q8—531no—
1069C4⋊Q8—531no—
1070C4⋊Q8—531no—
1071C4⋊Q8—531no—
1072C4⋊Q8—1061no—
1073C4⋊Q8—1061no—
1074C4⋊Q8—1061no—
1075C4⋊Q8—1061no—
1076C4⋊Q8—1061no—
1077C4⋊Q8—1061no—
1078C4⋊Q8—1061no—
1079C4⋊Q8—1061no—
1080C4⋊Q8C22×D5311yescharacteristic
1081C4⋊Q8C22×D5311yescharacteristic
1082#125—531no—
1083#125—531no—
1084#125—531no—
1085#125—531no—
1086#125—531no—
1087#125—531no—
1088#125—1061no—
1089#125—1061no—
1090#125—1061no—
1091#125—1061no—
1092#125—1061no—
1093#125—1061no—
1094#125—1061no—
1095#125—1061no—
1096#125C22×D5311yescharacteristic
1097#125C22×D5311yescharacteristic
1098C22⋊Q8—21no—
1099C22⋊Q8—21no—
1100C22⋊Q8—1061no—
1101C22⋊Q8—1061no—
1102C22⋊Q8—1061no—
1103C22⋊Q8—1061no—
1104C22⋊Q8—1061no—
1105C22⋊Q8—1061no—
1106C22⋊Q8—1061no—
1107C22⋊Q8—1061no—
1108C22⋊Q8—1061no—
1109C22⋊Q8—1061no—
1110C22⋊Q8—1061no—
1111C22⋊Q8—1061no—
1112C22⋊Q8—1061no—
1113C22⋊Q8—1061no—
1114C22⋊Q8—1061no—
1115C22⋊Q8—1061no—
1116C22⋊Q8—1061no—
1117C22⋊Q8—1061no—
1118C22⋊Q8—1061no—
1119C22⋊Q8—1061no—
1120C22⋊Q8—1061no—
1121C22⋊Q8—1061no—
1122C4×Q8—21no—
1123C4×Q8—21no—
1124C4×Q8—531no—
1125C4×Q8—531no—
1126C4×Q8—531no—
1127C4×Q8—531no—
1128C4×Q8—531no—
1129C4×Q8—531no—
1130C4×Q8—1061no—
1131C4×Q8—1061no—
1132C4×Q8—1061no—
1133C4×Q8—1061no—
1134C4×Q8—1061no—
1135C4×Q8—1061no—
1136C4×Q8—1061no—
1137C4×Q8—1061no—
1138C4×Q8—1061no—
1139C4×Q8—1061no—
1140C4×Q8C22×D5311yescharacteristic
1141C4×Q8C22×D5311yescharacteristic
1142C4×D4—21no—
1143C4×D4—21no—
1144C4×D4—531no—
1145C4×D4—531no—
1146C4×D4—531no—
1147C4×D4—531no—
1148C4×D4—531no—
1149C4×D4—531no—
1150C4×D4—1061no—
1151C4×D4—1061no—
1152C4×D4—1061no—
1153C4×D4—1061no—
1154C4×D4—1061no—
1155C4×D4—1061no—
1156C4×D4—1061no—
1157C4×D4—1061no—
1158C4×D4—1061no—
1159C4×D4—1061no—
1160C4×D4—1061no—
1161C4×D4—1061no—
1162C4×D4—1061no—
1163C4×D4—1061no—
1164C4×D4—1061no—
1165C4×D4—1061no—
1166C4×D4—1061no—
1167C4×D4—1061no—
1168C4×D4C22×D5311yescharacteristic
1169C4×D4C22×D5311yescharacteristic
1170#117—21no—
1171#117—531no—
1172#117—531no—
1173#117—531no—
1174#117—531no—
1175#117—531no—
1176#117—531no—
1177#117—531no—
1178#117—531no—
1179#117—531no—
1180#117—531no—
1181#117—531no—
1182#117—531no—
1183#117—531no—
1184#117—531no—
1185#117—531no—
1186#117—531no—
1187#117—531no—
1188#117—1061no—
1189#117—1061no—
1190#117—1061no—
1191#117—1061no—
1192#117—1061no—
1193#117—1061no—
1194#117—1061no—
1195#117—1061no—
1196#117—1061no—
1197#117—1061no—
1198#117—1061no—
1199#117—1061no—
1200#117—1061no—
1201#117—1061no—
1202#117—1061no—
1203#117—1061no—
1204#117—1061no—
1205#117C22×D5311yescharacteristic
1206#117C22×D5311yescharacteristic
1207#117C22×D5311yescharacteristic
1208C2×C4⋊C4—531no—
1209C2×C4⋊C4—531no—
1210C2×C4⋊C4—531no—
1211C2×C4⋊C4—531no—
1212C2×C4⋊C4—531no—
1213C2×C4⋊C4—531no—
1214C2×C4⋊C4—531no—
1215C2×C4⋊C4—531no—
1216C2×C4⋊C4—1061no—
1217C2×C4⋊C4—1061no—
1218C2×C4⋊C4—1061no—
1219C2×C4⋊C4—1061no—
1220C2×C22⋊C4—531no—
1221C2×C22⋊C4—531no—
1222C2×C22⋊C4—1061no—
1223C2×C22⋊C4—1061no—
1224C2×C22⋊C4—1061no—
1225C2×C22⋊C4—1061no—
1226C2×C22⋊C4—1061no—
1227C2×C22⋊C4—1061no—
1228C2×C22⋊C4—1061no—
1229C2×C42—21no—
1230C2×C42—531no—
1231C2×C42—1061no—
1232C2×C42—1061no—
1233C2×C42—1061no—
1234C2×C42—1061no—
1235C2×C42—1061no—
1236C2×C42—1061no—
1237C2×C42C22×D5311yescharacteristic
1238#107—531no—
1239#107—531no—
1240#107—531no—
1241#107—531no—
1242#107—531no—
1243#107—531no—
1244#107—531no—
1245#107—531no—
1246#107—531no—
1247#107—531no—
1248#107—531no—
1249#107—531no—
1250#107C22×D5311yescharacteristic
1251#107C22×D5311yescharacteristic
1252#107C22×D5311yescharacteristic
1253#107C22×D5311yescharacteristic
1254#106—531no—
1255#106—531no—
1256#106—531no—
1257#106—531no—
1258#106—531no—
1259#106—531no—
1260#106—531no—
1261#106—531no—
1262#106—531no—
1263#106—531no—
1264#106—531no—
1265#106—531no—
1266#106C22×D5311yescharacteristic
1267#106C22×D5311yescharacteristic
1268#106C22×D5311yescharacteristic
1269#106C22×D5311yescharacteristic
1270C4⋊C8—531no—
1271C4⋊C8—531no—
1272C4⋊C8—531no—
1273C4⋊C8—531no—
1274C4⋊C8—531no—
1275C4⋊C8—531no—
1276C4⋊C8—531no—
1277C4⋊C8—531no—
1278C4⋊C8—531no—
1279C4⋊C8—531no—
1280C4⋊C8—531no—
1281C4⋊C8—531no—
1282C4⋊C8C22×D5311yescharacteristic
1283C4⋊C8C22×D5311yescharacteristic
1284C4⋊C8C22×D5311yescharacteristic
1285C4⋊C8C22×D5311yescharacteristic
1286#103—531no—
1287#103—531no—
1288#103—531no—
1289#103—531no—
1290#103—531no—
1291#103—531no—
1292#103—531no—
1293#103—531no—
1294#103—531no—
1295#103—531no—
1296#103—531no—
1297#103—531no—
1298#103C22×D5311yescharacteristic
1299#103C22×D5311yescharacteristic
1300#103C22×D5311yescharacteristic
1301#103C22×D5311yescharacteristic
1302#102—531no—
1303#102—531no—
1304#102—531no—
1305#102—531no—
1306#102—531no—
1307#102—531no—
1308#102—531no—
1309#102—531no—
1310#102—531no—
1311#102—531no—
1312#102—531no—
1313#102—531no—
1314#102C22×D5311yescharacteristic
1315#102C22×D5311yescharacteristic
1316#102C22×D5311yescharacteristic
1317#102C22×D5311yescharacteristic
1318C24—531no—
1319C24—1061no—
1320#41—22no—
1321#41—534no—
1322#41—534no—
1323#41—534no—
1324#41—1068no—
1325#41—1068no—
1326#41—1062no—
1327#41—1062no—
1328#41—1062no—
1329#41Q8×D5314yes—
1330C2×Q8—21no—
1331C2×Q8—21no—
1332C2×Q8—534no—
1333C2×Q8—531no—
1334C2×Q8—1061no—
1335C2×Q8—1061no—
1336C2×Q8—1061no—
1337C2×Q8—1061no—
1338C2×Q8—1061no—
1339C2×Q8—1062no—
1340C2×Q8—1061no—
1341C2×Q8—1061no—
1342C2×Q8C23×D5311yescharacteristic
1343C2×D4—21no—
1344C2×D4—534no—
1345C2×D4—531no—
1346C2×D4—1061no—
1347C2×D4—1062no—
1348C2×D4—1061no—
1349C2×D4—1068no—
1350C2×D4—1061no—
1351C2×D4—1061no—
1352C2×D4C23×D5311yescharacteristic
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—531no—
1357C22×C4—531no—
1358C22×C4—531no—
1359C22×C4—534no—
1360C22×C4—534no—
1361C22×C4—531no—
1362C22×C4—531no—
1363C22×C4—531no—
1364C22×C4—531no—
1365C22×C4—1061no—
1366C22×C4—1068no—
1367C22×C4—1061no—
1368C22×C4—1061no—
1369C22×C4—1061no—
1370C22×C4—1061no—
1371C22×C4—1061no—
1372C22×C4—1061no—
1373C22×C4—1061no—
1374C22×C4—1061no—
1375C22×C4—1061no—
1376C22×C4—1061no—
1377C22×C4—1061no—
1378C22×C4—1061no—
1379C22×C4—1061no—
1380C22×C4—1061no—
1381C22×C4—1061no—
1382C22×C4D4×D5311yescharacteristic
1383C22×C4D4×D5311yescharacteristic
1384C22×C4C23×D5311yescharacteristic
1385M16—1062no—
1386M16—1062no—
1387M16—1062no—
1388M16—1062no—
1389C2×C8—22no—
1390C2×C8—22no—
1391C2×C8—531no—
1392C2×C8—531no—
1393C2×C8—531no—
1394C2×C8—531no—
1395C2×C8—1062no—
1396C2×C8—1062no—
1397C2×C8—1062no—
1398C2×C8—1062no—
1399C2×C8—1062no—
1400C2×C8—1062no—
1401C2×C8C23×D5311yescharacteristic
1402C2×C8C23×D5311yescharacteristic
1403C2×C8C23×D5311yescharacteristic
1404C2×C8C23×D5311yescharacteristic
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—531no—
1414C4⋊C4—531no—
1415C4⋊C4—531no—
1416C4⋊C4—531no—
1417C4⋊C4—531no—
1418C4⋊C4—531no—
1419C4⋊C4—531no—
1420C4⋊C4—531no—
1421C4⋊C4—531no—
1422C4⋊C4—531no—
1423C4⋊C4—531no—
1424C4⋊C4—531no—
1425C4⋊C4—531no—
1426C4⋊C4—531no—
1427C4⋊C4—1061no—
1428C4⋊C4—1061no—
1429C4⋊C4—1061no—
1430C4⋊C4—1061no—
1431C4⋊C4—1061no—
1432C4⋊C4—1061no—
1433C4⋊C4—1061no—
1434C4⋊C4—1061no—
1435C4⋊C4—1061no—
1436C4⋊C4—1061no—
1437C4⋊C4—1061no—
1438C4⋊C4—1061no—
1439C4⋊C4—1061no—
1440C4⋊C4—1061no—
1441C4⋊C4—1061no—
1442C4⋊C4—1061no—
1443C4⋊C4—1061no—
1444C4⋊C4—1061no—
1445C4⋊C4—1061no—
1446C4⋊C4—1061no—
1447C4⋊C4—1061no—
1448C4⋊C4—1061no—
1449C4⋊C4—1061no—
1450C4⋊C4—1061no—
1451C4⋊C4—1061no—
1452C4⋊C4—1061no—
1453C4⋊C4—1061no—
1454C4⋊C4—1061no—
1455C4⋊C4—1061no—
1456C4⋊C4—1061no—
1457C4⋊C4C23×D5311yescharacteristic
1458C4⋊C4C23×D5311yescharacteristic
1459C4⋊C4C23×D5311yescharacteristic
1460C4⋊C4C23×D5311yescharacteristic
1461C4⋊C4C23×D5311yescharacteristic
1462C4⋊C4C23×D5311yescharacteristic
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—531no—
1469C22⋊C4—531no—
1470C22⋊C4—531no—
1471C22⋊C4—531no—
1472C22⋊C4—531no—
1473C22⋊C4—531no—
1474C22⋊C4—531no—
1475C22⋊C4—531no—
1476C22⋊C4—1061no—
1477C22⋊C4—1061no—
1478C22⋊C4—1061no—
1479C22⋊C4—1061no—
1480C22⋊C4—1061no—
1481C22⋊C4—1061no—
1482C22⋊C4—1061no—
1483C22⋊C4—1061no—
1484C22⋊C4—1061no—
1485C22⋊C4—1061no—
1486C22⋊C4—1061no—
1487C22⋊C4—1061no—
1488C22⋊C4—1061no—
1489C22⋊C4—1061no—
1490C22⋊C4—1061no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—531no—
1497C42—531no—
1498C42—531no—
1499C42—531no—
1500C42—1061no—
1501C42—1061no—
1502C42—1061no—
1503C42—1061no—
1504C42—1061no—
1505C42—1061no—
1506C42—1061no—
1507C42—1061no—
1508C42—1061no—
1509C42—1061no—
1510C42—1061no—
1511C42—1061no—
1512C42—1061no—
1513C42—1061no—
1514C42—1061no—
1515C42D4×D5311yescharacteristic
1516C42D4×D5311yescharacteristic
1517C42C23×D5311yescharacteristic
1518C42C23×D5311yescharacteristic
1519C23—21no—
1520C23—531no—
1521C23—531no—
1522C23—534no—
1523C23—1064no—
1524C23—1061no—
1525C23—4241no—
1526C23—4241no—
1527C23—2121no—
1528C23—2121no—
1529C23C2×D4×D5311yescharacteristic
1530Q8—21no—
1531Q8—81no—
1532Q8—81no—
1533Q8—532no—
1534Q8—1064no—
1535Q8—1061no—
1536Q8—4241no—
1537Q8—4241no—
1538Q8—4241no—
1539Q8—4241no—
1540Q8—4241no—
1541Q8—4241no—
1542Q8C2×Q8×D5312yes—
1543D4—24no—
1544D4—21no—
1545D4—532no—
1546D4—1064no—
1547D4—1064no—
1548D4—1064no—
1549D4—1064no—
1550D4—1061no—
1551D4C2×Q8×D5312yes—
1552C2×C4—21no—
1553C2×C4—24no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—534no—
1565C2×C4—531no—
1566C2×C4—531no—
1567C2×C4—534no—
1568C2×C4—534no—
1569C2×C4—532no—
1570C2×C4—532no—
1571C2×C4—532no—
1572C2×C4—532no—
1573C2×C4—531no—
1574C2×C4—531no—
1575C2×C4—531no—
1576C2×C4—531no—
1577C2×C4—1064no—
1578C2×C4—1064no—
1579C2×C4—1064no—
1580C2×C4—1061no—
1581C2×C4—1064no—
1582C2×C4—1061no—
1583C2×C4—1061no—
1584C2×C4—1061no—
1585C2×C4—1061no—
1586C2×C4—1061no—
1587C2×C4—1061no—
1588C2×C4—4241no—
1589C2×C4—4241no—
1590C2×C4—4241no—
1591C2×C4—4241no—
1592C2×C4—4241no—
1593C2×C4—4241no—
1594C2×C4—4241no—
1595C2×C4—4241no—
1596C2×C4—4241no—
1597C2×C4—4241no—
1598C2×C4—4241no—
1599C2×C4—4241no—
1600C2×C4—2121no—
1601C2×C4—2121no—
1602C2×C4C2×D4×D5311yescharacteristic
1603C2×C4C2×D4×D5311yescharacteristic
1604C2×C4C2×D4×D5311yescharacteristic
1605C2×C4C2×D4×D5311yescharacteristic
1606C2×C4C2×D4×D5311yescharacteristic
1607C2×C4C2×Q8×D5312yes—
1608C2×C4#41×D5312yes—
1609C2×C4C24×D5311yescharacteristic
1610C8—21no—
1611C8—21no—
1612C8—21no—
1613C8—21no—
1614C8—1061no—
1615C8—1061no—
1616C8—1061no—
1617C8—1061no—
1618C22—21no—
1619C22—21no—
1620C22—22no—
1621C22—41no—
1622C22—41no—
1623C22—532no—
1624C22—532no—
1625C22—1061no—
1626C22—1061no—
1627C22—1061no—
1628C22—1061no—
1629C22—1062no—
1630C22—4244no—
1631C22—2124no—
1632C22—2121no—
1633C22—2121no—
1634C22C22⋊Q8×D5312yes—
1635C22C22×D4×D5311yescharacteristic
1636C4—22no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—532no—
1648C4—532no—
1649C4—1062no—
1650C4—1061no—
1651C4—1061no—
1652C4—1061no—
1653C4—1061no—
1654C4—2121no—
1655C4—2121no—
1656C4—2121no—
1657C4—2121no—
1658C4—2121no—
1659C4—2121no—
1660C4C22⋊Q8×D5312yes—
1661C4C22×Q8×D5311yescharacteristic
1662C4C2×#41×D5311yescharacteristic
1663C2—22no—
1664C2—42no—
1665C2—1062no—
1666C2—1062no—
1667C2—2122no—
1668C2C2×C22⋊Q8×D5311yescharacteristic
1669C2#2028948411yescharacteristic
1670C2#2028948811yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3076C2
socleC22×C53C23×D4
prime radicalC2×#41×D53C22
hypercenter#3076D53
hypocenterC53#60489
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3076

Complements

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

NH ≅ G/Ntype
1. #20288118C2semidirect
3. #20284580C2semidirect
4. #20284578C2semidirect
5. #20284574C2semidirect
6. #20284572C2semidirect
7. #20284569C2semidirect
8. #20284567C2semidirect
9. #20284563C2semidirect
10. #20284561C2semidirect
11. #20284556C2semidirect
12. #20284554C2semidirect
13. #20284552C2semidirect
14. #20284550C2semidirect
15. #20284545C2semidirect
16. #20284543C2semidirect
17. #20284541C2semidirect
18. #20284539C2semidirect
19. #20284505C2semidirect
20. #20284503C2semidirect
21. #20284501C2semidirect
22. #20284501C2semidirect
23. #20284499C2semidirect
24. #20284499C2semidirect
25. #20284497C2semidirect
26. #20283303C2semidirect
27. #427×D53C2semidirect
28. C2×#16810648C2semidirect
31. C53×#3076C2semidirect
37. #16811253C22semidirect
38. #16811253C22semidirect
43. #16811250C22semidirect
44. #16811250C22semidirect
47. #16811180C22semidirect
52. #16811176C22semidirect
53. #16811176C22semidirect
77. #16810933C22semidirect
78. #16810933C22semidirect
79. #16810932C22semidirect
80. #16810932C22semidirect
81. #16810931C22semidirect
82. #16810931C22semidirect
83. #16810930C22semidirect
84. #16810930C22semidirect
85. #16810929C22semidirect
86. #16810929C22semidirect
87. #16810928C22semidirect
88. #16810928C22semidirect
89. #16810927C22semidirect
90. #16810927C22semidirect
91. #16810926C22semidirect
92. #16810926C22semidirect
93. #16810925C22semidirect
94. #16810925C22semidirect
95. #16810924C22semidirect
96. #16810924C22semidirect
97. #16810923C22semidirect
98. #16810923C22semidirect
99. #16810922C22semidirect
100. #16810922C22semidirect
101. #16810921C22semidirect
102. #16810921C22semidirect
103. #16810920C22semidirect
104. #16810920C22semidirect
105. #16810919C22semidirect
106. #16810918C22semidirect
107. #16810917C22semidirect
108. #16810917C22semidirect
109. #16810916C22semidirect
110. #16810916C22semidirect
111. #16810915C22semidirect
112. #16810914C22semidirect
113. #16810913C22semidirect
114. #16810912C22semidirect
115. #16810912C22semidirect
116. #16810911C22semidirect
117. #16810911C22semidirect
118. #16810910C22semidirect
119. #16810909C22semidirect
120. #16810908C22semidirect
121. #16810907C22semidirect
122. #16810907C22semidirect
123. #16810906C22semidirect
124. #16810906C22semidirect
125. #16810905C22semidirect
126. #16810904C22semidirect
127. #16810903C22semidirect
128. #16810902C22semidirect
129. #16810902C22semidirect
130. #16810901C22semidirect
131. #16810901C22semidirect
132. #16810900C22semidirect
135. #16810664C22semidirect
136. #16810664C22semidirect
139. #16810662C22semidirect
140. #16810662C22semidirect
141. #16810661C22semidirect
142. #16810661C22semidirect
145. #16810659C22semidirect
146. #16810659C22semidirect
147. #16810659C22semidirect
148. #16810659C22semidirect
151. #107×D53C22semidirect
152. #107×D53C22semidirect
153. #106×D53C22semidirect
154. #106×D53C22semidirect
159. #16810648C22semidirect
160. #16810648C22semidirect
161. #16810648C22semidirect
162. #16810648C22semidirect
163. C2×C4⋊#88322C22semidirect
164. C2×#13133146C22semidirect
165. C2×#13133146C22semidirect
188. C53×#533C22semidirect
190. C53×#479C22semidirect
191. C53×#479C22semidirect
192. C53×#478C22semidirect
193. C53×#478C22semidirect
194. C53×#477C22semidirect
195. C53×#476C22semidirect
196. C53×#475C22semidirect
197. C53×#474C22semidirect
198. C53×#427C22semidirect
199. C53×#427C22semidirect
200. C2×C4⋊C8×C53C22semidirect
209. #41×D53Q8semidirect
853. #3076D53semidirect
889. #533C2×D53semidirect
928. #479C2×D53semidirect
929. #479C2×D53semidirect
944. #478C2×D53semidirect
945. #478C2×D53semidirect
953. #477C2×D53semidirect
961. #476C2×D53semidirect
969. #475C2×D53semidirect
977. #474C2×D53semidirect
996. #427C2×D53semidirect
997. #427C2×D53semidirect
1013. C2×C4⋊C8C2×D53semidirect
1038. C53#60489semidirect

Maximal subgroups

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

subgroupindex
#202881182
#202879142
#202845802
#202845782
#202845742
#202845722
#202845692
#202845672
#202845632
#202845612
#202845562
#202845542
#202845522
#202845502
#202845452
#202845432
#202845412
#202845392
#202845052
#202845032
#202845012
#202844992
#202844972
#202833032
#427×D532
C2×#168106482
#202832302
#416×D532
C53×#30762
#6048953