Finite Group Databasebeta

← #28270646

Subgroups — #28270646

Order 13568.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289014C211yesmaximal, characteristic, complemented
2#20288385C211yesmaximal, characteristic, complemented
3#20287055C211yesmaximal, characteristic, complemented
4#20286980C211yesmaximal, characteristic, complemented
5#20286948C211yesmaximal, characteristic, complemented
6#20286913C211yesmaximal, characteristic, complemented
7#20286801C211yesmaximal, characteristic, complemented
8#20286786C211yesmaximal, characteristic, complemented
9#20286733C211yesmaximal, characteristic, complemented
10#20286718C211yesmaximal, characteristic, complemented
11#20286376C211yesmaximal, characteristic, complemented
12#20286371C211yesmaximal, characteristic, complemented
13#20286348C211yesmaximal, characteristic, complemented
14#20286318C211yesmaximal, characteristic, complemented
15#20286302C211yesmaximal, characteristic, complemented
16#20286265C211yesmaximal, characteristic, complemented
17#20286231C211yesmaximal, characteristic, complemented
18#20286212C211yesmaximal, characteristic, complemented
19#20285811C211yesmaximal, characteristic, complemented
20#20285781C211yesmaximal, characteristic, complemented
21#20285619C211yesmaximal, characteristic, complemented
22#20285604C211yesmaximal, characteristic, complemented
23#20285534C211yesmaximal, characteristic, complemented
24#20285520C211yesmaximal, characteristic, complemented
25#20284977C211yesmaximal, characteristic, complemented
26#20284023C211yesmaximal, characteristic, complemented
27#20283989C211yesmaximal, characteristic, complemented
28#20283972C211yesmaximal, characteristic, complemented
29#20283958C211yesmaximal, characteristic, complemented
30#20283776C211yesmaximal, characteristic, complemented
31C53×#3120C211yesmaximal, characteristic, complemented
32C2×#13133263C2211yescharacteristic
33C2×#41×D53C2211yescharacteristic
34C2×#13133249C2211yescharacteristic, complemented
35C2×#13133249C2211yescharacteristic, complemented
36C2×#13133249C2211yescharacteristic, complemented
37C2×#13133246C2211yescharacteristic, complemented
38C2×#13133244C2211yescharacteristic, complemented
39C2×#13133244C2211yescharacteristic, complemented
40C2×#13133240C2211yescharacteristic, complemented
41C2×SD16×D53C2211yescharacteristic, complemented
42#16811377—21no—
43#16811371—21no—
44#16811346C2211yescharacteristic, complemented
45#16811333C2211yescharacteristic, complemented
46#16811329—21no—
47#16811326—21no—
48#16811326C2211yescharacteristic, complemented
49#16811311C2211yescharacteristic, complemented
50#16811295C2211yescharacteristic
51#16811295C2211yescharacteristic
52#16811288C2211yescharacteristic, complemented
53#16811285C2211yescharacteristic
54#16811285C2211yescharacteristic
55#16811285C2211yescharacteristic, complemented
56#16811285C2211yescharacteristic, complemented
57#16811276C2211yescharacteristic, complemented
58#16811268—21no—
59#16811268—21no—
60#16811268C2211yescharacteristic
61#16811268C2211yescharacteristic
62D4×D212—21no—
63D4×D212—21no—
64D4×D212C2211yescharacteristic
65D4×D212C2211yescharacteristic
66#16811244C2211yescharacteristic, complemented
67#16811239—21no—
68#16811214—21no—
69#16811212—21no—
70#16811212—21no—
71#16811204—21no—
72#16811204C2211yescharacteristic
73#16811203C2211yescharacteristic, complemented
74#16811196C2211yescharacteristic, complemented
75#16811192—21no—
76#16811192C2211yescharacteristic
77#16811136C2211yescharacteristic, complemented
78#16811135—21no—
79#16811135C2211yescharacteristic
80C22⋊Q8×D53C2211yescharacteristic, complemented
81C2×#13133192—21no—
82C2×#13133192C2211yescharacteristic
83#16811015C2211yescharacteristic, complemented
84#16811012C2211yescharacteristic, complemented
85#16811007C2211yescharacteristic, complemented
86#16810997C2211yescharacteristic, complemented
87#16810989C2211yescharacteristic, complemented
88#16810983C2211yescharacteristic, complemented
89#16810980C2211yescharacteristic, complemented
90#16810970C2211yescharacteristic, complemented
91#16810967C2211yescharacteristic, complemented
92#16810960C2211yescharacteristic, complemented
93#16810958C2211yescharacteristic, complemented
94#16810949C2211yescharacteristic, complemented
95#16810949C2211yescharacteristic, complemented
96#16810949C2211yescharacteristic, complemented
97#16810938C2211yescharacteristic, complemented
98#16810938C2211yescharacteristic, complemented
99#16810938C2211yescharacteristic, complemented
100#16810936C2211yescharacteristic, complemented
101#16810918C2211yescharacteristic, complemented
102#16810903C2211yescharacteristic, complemented
103#16810882C2211yescharacteristic, complemented
104#16810877C2211yescharacteristic, complemented
105#16810877C2211yescharacteristic, complemented
106#16810872C2211yescharacteristic, complemented
107#16810872C2211yescharacteristic, complemented
108#16810872C2211yescharacteristic, complemented
109#16810872C2211yescharacteristic, complemented
110#16810872C2211yescharacteristic, complemented
111#16810872C2211yescharacteristic, complemented
112#16810870C2211yescharacteristic, complemented
113#16810870C2211yescharacteristic, complemented
114#16810870C2211yescharacteristic, complemented
115#16810863C2211yescharacteristic, complemented
116#16810863C2211yescharacteristic, complemented
117#16810860C2211yescharacteristic, complemented
118#16810853C2211yescharacteristic, complemented
119#16810846C2211yescharacteristic, complemented
120#16810845C2211yescharacteristic, complemented
121#16810845C2211yescharacteristic, complemented
122#16810845C2211yescharacteristic, complemented
123#16810839C2211yescharacteristic, complemented
124#16810838C2211yescharacteristic, complemented
125#16810824C2211yescharacteristic, complemented
126#16810823C2211yescharacteristic, complemented
127#16810823C2211yescharacteristic, complemented
128#16810819C2211yescharacteristic, complemented
129#16810788C2211yescharacteristic, complemented
130#16810788C2211yescharacteristic, complemented
131#16810787C2211yescharacteristic, complemented
132#16810785C2211yescharacteristic
133#16810784C2211yescharacteristic, complemented
134#16810784C2211yescharacteristic, complemented
135#16810784C2211yescharacteristic, complemented
136#16810783C2211yescharacteristic, complemented
137#16810783C2211yescharacteristic, complemented
138#16810782C2211yescharacteristic, complemented
139#16810780C2211yescharacteristic, complemented
140#16810780C2211yescharacteristic, complemented
141#16810777C2211yescharacteristic, complemented
142#16810776C2211yescharacteristic, complemented
143#16810775C2211yescharacteristic, complemented
144#16810775C2211yescharacteristic, complemented
145#16810773C2211yescharacteristic, complemented
146#16810773C2211yescharacteristic, complemented
147#16810772C2211yescharacteristic, complemented
148#16810772C2211yescharacteristic, complemented
149#16810772C2211yescharacteristic, complemented
150#16810771C2211yescharacteristic, complemented
151#16810771C2211yescharacteristic, complemented
152#16810771C2211yescharacteristic, complemented
153#16810771C2211yescharacteristic, complemented
154#16810771C2211yescharacteristic, complemented
155#16810770C2211yescharacteristic, complemented
156#16810769C2211yescharacteristic, complemented
157#16810768C2211yescharacteristic
158#16810763C2211yescharacteristic, complemented
159#16810763C2211yescharacteristic, complemented
160#16810763C2211yescharacteristic, complemented
161#16810759C2211yescharacteristic, complemented
162#16810758C2211yescharacteristic, complemented
163#16810723C2211yescharacteristic, complemented
164#16810721C2211yescharacteristic, complemented
165C4×#11719925C2211yescharacteristic, complemented
166C4×#11719922C2211yescharacteristic, complemented
167#16810702C2211yescharacteristic, complemented
168#16810702C2211yescharacteristic, complemented
169#16810700C2211yescharacteristic, complemented
170#16810700C2211yescharacteristic, complemented
171#16810696C2211yescharacteristic, complemented
172#16810696C2211yescharacteristic, complemented
173#16810693C2211yescharacteristic, complemented
174#16810693C2211yescharacteristic, complemented
175#16810684C2211yescharacteristic, complemented
176#16810630C2211yescharacteristic, complemented
177#16810626C2211yescharacteristic, complemented
178#16810626C2211yescharacteristic, complemented
179#16810623C2211yescharacteristic, complemented
180#16810623C2211yescharacteristic, complemented
181#16810621C2211yescharacteristic, complemented
182#16810618C2211yescharacteristic, complemented
183#102×D53C2211yescharacteristic, complemented
184#16810588C2211yescharacteristic, complemented
185#16810588C2211yescharacteristic, complemented
186#16810585C2211yescharacteristic, complemented
187#16810585C2211yescharacteristic, complemented
188C53×#541C2211yescharacteristic, complemented
189C53×#520C2211yescharacteristic
190C53×#484C2211yescharacteristic, complemented
191C53×#483C2211yescharacteristic, complemented
192C53×#479C2211yescharacteristic, complemented
193C53×#478C2211yescharacteristic, complemented
194C53×#462C2211yescharacteristic, complemented
195C53×#461C2211yescharacteristic, complemented
196C53×#452C2211yescharacteristic
197C53×#452C2211yescharacteristic
198C53×#441C2211yescharacteristic, complemented
199C53×#440C2211yescharacteristic, complemented
200C4×Q16×C53C2211yescharacteristic, complemented
201C4×SD16×C53C2211yescharacteristic, complemented
202C53×#433C2211yescharacteristic, complemented
203#13133263—42no—
204#13133263—42no—
205C2×#11719949C2311yescharacteristic
206C2×#11719949C2311yescharacteristic
207C2×#11719949C2311yescharacteristic
208C2×#11719949C2311yescharacteristic
209C2×#11719949C2311yescharacteristic
210C2×#11719945—21no—
211C2×#11719945—21no—
212C2×#11719945C2311yescharacteristic
213C2×#11719945C2311yescharacteristic
214C2×#11719947—21no—
215C2×#11719947C2311yescharacteristic
216#41×D53—42no—
217#41×D53—42no—
218C2×Q8×D53C2311yescharacteristic
219C2×Q8×D53C2311yescharacteristic
220C2×Q8×D53C2311yescharacteristic
221C22×D212—21no—
222C22×D212—21no—
223C22×D212—21no—
224C22×D212—21no—
225C22×D212C2311yescharacteristic
226C2×D4×D53—21no—
227C2×D4×D53—21no—
228C2×D4×D53—21no—
229C2×D4×D53C2311yescharacteristic
230C2×D4×D53C2311yescharacteristic
231C2×D4×D53C2311yescharacteristic
232C22×C4×D53—21no—
233C22×C4×D53C2311yescharacteristic
234#13133249—42no—
235#13133249—42no—
236#13133249—42no—
237#13133246—42no—
238#13133244—42no—
239#13133244—42no—
240#13133240—42no—
241C2×Dic212C2311yescharacteristic
242C2×#11719925C2311yescharacteristic
243C2×#11719925C2311yescharacteristic
244C2×#11719925C2311yescharacteristic
245C2×#11719913C2311yescharacteristic
246C2×#11719913C2311yescharacteristic
247C2×#11719913C2311yescharacteristic
248C2×#11719913C2311yescharacteristic
249C2×#11719923C2311yescharacteristic
250C2×#11719924C2311yescharacteristic
251C2×#11719924C2311yescharacteristic
252C2×#11719924C2311yescharacteristic
253C2×#11719924C2311yescharacteristic
254C2×#11719924C2311yescharacteristic
255C2×#11719924C2311yescharacteristic
256C2×#11719924C2311yescharacteristic
257SD16×D53—42no—
258C2×D424C2311yescharacteristic
259C2×D424C2311yescharacteristic
260C2×D424C2311yescharacteristic
261C2×#11719922C2311yescharacteristic
262C2×#11719912C2311yescharacteristic
263C2×#11719912C2311yescharacteristic
264C2×#11719912C2311yescharacteristic
265C2×#11719912C2311yescharacteristic
266C2×#11719912C2311yescharacteristic
267C2×#11719912C2311yescharacteristic
268C2×C8×D53C2311yescharacteristic
269C2×C8×D53C2311yescharacteristic
270#13133217C2311yescharacteristic
271#13133216—21no—
272#13133216—21no—
273#13133214—21no—
274#13133214—21no—
275#13133214C2311yescharacteristic
276#13133214C2311yescharacteristic
277#13133212—21no—
278#13133212—21no—
279#13133212—21no—
280#13133212—21no—
281#13133212—21no—
282#13133209—21no—
283#13133208—21no—
284#13133205—21no—
285#13133205—21no—
286#13133205—21no—
287#13133205—21no—
288#13133205—21no—
289#13133205C2311yescharacteristic
290#13133205C2311yescharacteristic
291#13133205C2311yescharacteristic
292#13133203—21no—
293#13133203—21no—
294#13133202—21no—
295#13133202—21no—
296#13133202—21no—
297#13133202—21no—
298#13133202—21no—
299#13133202—21no—
300#13133201—21no—
301#13133201—21no—
302#13133201D411yescharacteristic
303#13133201D411yescharacteristic
304#13133199—21no—
305#13133199—21no—
306#13133197—21no—
307#13133197—21no—
308#13133197—21no—
309#13133197—21no—
310#13133197—21no—
311#13133197D411yescharacteristic
312#13133197D411yescharacteristic
313#13133197C2311yescharacteristic
314#13133197C2311yescharacteristic
315#13133197C2311yescharacteristic
316#13133197C2311yescharacteristic
317#13133196C2311yescharacteristic
318#13133195—21no—
319#13133195—21no—
320#13133195—21no—
321#13133195—21no—
322#13133195—21no—
323#13133195—21no—
324#13133195—21no—
325#13133194—21no—
326#13133193C2311yescharacteristic
327#13133193C2311yescharacteristic
328#13133193C2311yescharacteristic
329#13133193C2311yescharacteristic
330#13133192—21no—
331#13133192—21no—
332#13133192—21no—
333#13133192—21no—
334#13133192—21no—
335#13133192—21no—
336#13133192—21no—
337#13133192—21no—
338#13133192—21no—
339#13133192—21no—
340#13133192—21no—
341#13133192—21no—
342#13133192—21no—
343#13133192—21no—
344#13133192—21no—
345#13133192—21no—
346#13133192D411yescharacteristic
347#13133192D411yescharacteristic
348#13133192C2311yescharacteristic
349#13133192C2311yescharacteristic
350#13133192C2311yescharacteristic
351#13133192C2311yescharacteristic
352#13133192C2311yescharacteristic
353#13133192C2311yescharacteristic
354#13133192C2311yescharacteristic
355#13133192C2311yescharacteristic
356#13133191—21no—
357#13133191—21no—
358#13133191—21no—
359#13133191—21no—
360#13133191—21no—
361#13133191—21no—
362#13133191C2311yescharacteristic
363#13133190—21no—
364#13133190—21no—
365#13133187—21no—
366#13133187—21no—
367#13133187—21no—
368#13133187—21no—
369#13133187—21no—
370#13133187—21no—
371#13133187—21no—
372#13133187—21no—
373#13133187—21no—
374#13133187D411yescharacteristic
375#13133187D411yescharacteristic
376C4×Dic106—21no—
377C4×Dic106C2311yescharacteristic
378C4×D212—21no—
379C4×D212—21no—
380C4×D212—21no—
381C4×D212—21no—
382C4×D212—21no—
383C4×D212—21no—
384C4×D212—21no—
385C4×D212C2311yescharacteristic
386C4×D212C2311yescharacteristic
387C4×D212C2311yescharacteristic
388C4×D212C2311yescharacteristic
389C4×D212C2311yescharacteristic
390#13133179—21no—
391#13133179—21no—
392#13133179—21no—
393#13133177—21no—
394#13133175—21no—
395#13133175C2311yescharacteristic
396#13133175C2311yescharacteristic
397C4⋊C4×D53—21no—
398C4⋊C4×D53—21no—
399C4⋊C4×D53C2311yescharacteristic
400C4⋊C4×D53C2311yescharacteristic
401C2×#11719921—21no—
402C2×#11719921—21no—
403C2×#11719921—21no—
404C22⋊C4×D53—21no—
405#13133150C2311yescharacteristic
406#13133150C2311yescharacteristic
407#13133150C2311yescharacteristic
408#13133150C2311yescharacteristic
409C4⋊#88322C2311yescharacteristic
410C4⋊#88322C2311yescharacteristic
411#13133142C2311yescharacteristic
412#13133142C2311yescharacteristic
413#13133141C2311yescharacteristic
414#13133141C2311yescharacteristic
415#13133140C2311yescharacteristic
416#13133140C2311yescharacteristic
417#13133140C2311yescharacteristic
418#13133140C2311yescharacteristic
419#13133139C2311yescharacteristic
420#13133139C2311yescharacteristic
421#13133139C2311yescharacteristic
422#13133139C2311yescharacteristic
423#13133139C2311yescharacteristic
424#13133139C2311yescharacteristic
425#13133138C2311yescharacteristic
426#13133138C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429#13133137C2311yescharacteristic
430#13133137C2311yescharacteristic
431#13133137C2311yescharacteristic
432#13133137C2311yescharacteristic
433#13133137C2311yescharacteristic
434#13133137C2311yescharacteristic
435C22⋊#88322C2311yescharacteristic
436C22⋊#88322C2311yescharacteristic
437#13133129C2311yescharacteristic
438#13133129C2311yescharacteristic
439#13133129C2311yescharacteristic
440#13133129C2311yescharacteristic
441#13133129C2311yescharacteristic
442#13133129C2311yescharacteristic
443#13133129C2311yescharacteristic
444#13133129C2311yescharacteristic
445#13133128C2311yescharacteristic
446C4×#88322C2311yescharacteristic
447C2×#41×C53C2311yescharacteristic
448C2×Q16×C53C2311yescharacteristic
449C2×Q16×C53C2311yescharacteristic
450C2×SD16×C53C2311yescharacteristic
451C2×SD16×C53C2311yescharacteristic
452C4⋊Q8×C53C2311yescharacteristic
453#126×C53—21no—
454#126×C53—21no—
455#125×C53—21no—
456#125×C53—21no—
457#125×C53C2311yescharacteristic
458C22⋊Q8×C53C2311yescharacteristic
459C22⋊Q8×C53C2311yescharacteristic
460C4×Q8×C53C2311yescharacteristic
461C4×Q8×C53C2311yescharacteristic
462C4×Q8×C53C2311yescharacteristic
463C4×Q8×C53C2311yescharacteristic
464C4×D4×C53—21no—
465C4×D4×C53—21no—
466C4×D4×C53C2311yescharacteristic
467C4×D4×C53C2311yescharacteristic
468#117×C53—21no—
469#117×C53C2311yescharacteristic
470C2×C4⋊C4×C53—21no—
471C2×C4⋊C4×C53C2311yescharacteristic
472#107×C53C2311yescharacteristic
473#107×C53C2311yescharacteristic
474#106×C53C2311yescharacteristic
475#106×C53C2311yescharacteristic
476C4⋊C8×C53C2311yescharacteristic
477C4⋊C8×C53C2311yescharacteristic
478#103×C53C2311yescharacteristic
479#103×C53C2311yescharacteristic
480#103×C53C2311yescharacteristic
481#103×C53C2311yescharacteristic
482#103×C53C2311yescharacteristic
483#103×C53C2311yescharacteristic
484#102×C53C2311yescharacteristic
485#102×C53C2311yescharacteristic
486C22⋊C8×C53C2311yescharacteristic
487C22⋊C8×C53C2311yescharacteristic
488#97×C53C2311yescharacteristic
489C4×C8×C53C2311yescharacteristic
490C23×D53—21no—
491C23×D53—21no—
492C23×D53—21no—
493C23×D53—21no—
494C23×D53C2×D411yescharacteristic
495#41×C53—22no—
496#41×C53—22no—
497C2×Q8×C53C2411yescharacteristic
498C2×Q8×C53C2411yescharacteristic
499C2×Q8×C53C2411yescharacteristic
500C2×D4×C53—21no—
501C2×D4×C53C2411yescharacteristic
502C22×C4×C53—21no—
503C22×C4×C53—21no—
504C22×C4×C53—21no—
505C22×C4×C53—21no—
506C22×C4×C53C2411yescharacteristic
507C2×C22⋊D53—21no—
508C2×C22⋊D53—21no—
509C2×C22⋊D53—21no—
510C2×C22⋊D53—21no—
511C2×C22⋊D53—21no—
512C2×C22⋊D53—21no—
513C2×C22⋊D53C2×D411yescharacteristic
514C2×C22⋊D53C2×D411yescharacteristic
515C22×Dic53—21no—
516C22×Dic53C2×D411yescharacteristic
517#11719949—22no—
518#11719949—22no—
519#11719949—22no—
520#11719949—41no—
521#11719949—41no—
522#11719949—41no—
523#11719949—41no—
524#11719949—41no—
525#11719949—41no—
526#11719949—41no—
527Q8×D53—22no—
528Q8×D53—41no—
529Q8×D53—41no—
530Q8×D53—41no—
531Q8×D53—41no—
532Q8×D53—41no—
533#11719947—22no—
534#11719947—41no—
535#11719947—44no—
536D4×D53—22no—
537D4×D53—22no—
538D4×D53—22no—
539D4×D53—41no—
540D4×D53—41no—
541D4×D53—41no—
542D4×D53—44no—
543D4×D53—44no—
544D4×D53—44no—
545#11719945—41no—
546#11719945—41no—
547#11719945—41no—
548#11719945—41no—
549#11719945—44no—
550#11719945—44no—
551C2×D212—21no—
552C2×D212—21no—
553C2×D212—21no—
554C2×D212—21no—
555C2×D212—21no—
556C2×D212—21no—
557C2×D212—21no—
558C2×D212—21no—
559C2×D212—21no—
560C2×D212—21no—
561C2×D212—21no—
562C2×D212—21no—
563C2×D212—21no—
564C2×D212—21no—
565C2×D212—21no—
566C2×D212—21no—
567C2×D212—21no—
568C2×D212—21no—
569C2×D212—41no—
570C2×D212—41no—
571C2×D212—44no—
572C2×D212—82no—
573C2×D212—82no—
574C2×D212—82no—
575C2×D212C2×D411yescharacteristic
576C2×D212C2×D411yescharacteristic
577C2×D212C2×D411yescharacteristic
578C2×D212C2×D411yescharacteristic
579C2×D212C2×D411yescharacteristic
580C2×D212C2411yescharacteristic
581C2×D212C2411yescharacteristic
582C2×D212C2411yescharacteristic
583C2×D212C2411yescharacteristic
584C2×C4×D53—21no—
585C2×C4×D53—21no—
586C2×C4×D53—21no—
587C2×C4×D53—21no—
588C2×C4×D53—21no—
589C2×C4×D53—21no—
590C2×C4×D53—21no—
591C2×C4×D53—21no—
592C2×C4×D53—21no—
593C2×C4×D53—21no—
594C2×C4×D53—21no—
595C2×C4×D53—21no—
596C2×C4×D53—41no—
597C2×C4×D53—41no—
598C2×C4×D53—44no—
599C2×C4×D53C2×D411yescharacteristic
600C2×C4×D53C2×D411yescharacteristic
601C2×C4×D53C2411yescharacteristic
602C2×C4×D53C2411yescharacteristic
603C2×C4×D53C2411yescharacteristic
604C2×C4×D53C2411yescharacteristic
605C2×Dic106—21no—
606C2×Dic106—21no—
607C2×Dic106—21no—
608C2×Dic106—21no—
609C2×Dic106C2×D411yescharacteristic
610C2×Dic106C2411yescharacteristic
611C2×Dic106C2411yescharacteristic
612Q16×C53—22no—
613Q16×C53—22no—
614SD16×C53—22no—
615SD16×C53—22no—
616C2×C8×C53C2411yescharacteristic
617C2×C8×C53C2411yescharacteristic
618C2×C8×C53C2411yescharacteristic
619C2×C8×C53C2411yescharacteristic
620C4⋊C4×C53—21no—
621C4⋊C4×C53—21no—
622C4⋊C4×C53—21no—
623C4⋊C4×C53—21no—
624C4⋊C4×C53—21no—
625C4⋊C4×C53—21no—
626C4⋊C4×C53—21no—
627C4⋊C4×C53—21no—
628C4⋊C4×C53—21no—
629C4⋊C4×C53—21no—
630C4⋊C4×C53—21no—
631C4⋊C4×C53C2×D411yescharacteristic
632C4⋊C4×C53C2×D411yescharacteristic
633C4⋊C4×C53C2411yescharacteristic
634C4⋊C4×C53C2411yescharacteristic
635C4⋊C4×C53C2411yescharacteristic
636C4⋊C4×C53C2411yescharacteristic
637C22⋊C4×C53—21no—
638C22⋊C4×C53—21no—
639C22⋊C4×C53—21no—
640C22⋊C4×C53—21no—
641C22⋊C4×C53C2×D411yescharacteristic
642C22⋊C4×C53C2×D411yescharacteristic
643C42×C53—21no—
644C42×C53—21no—
645C42×C53—21no—
646C42×C53—21no—
647C42×C53C2411yescharacteristic
648C42×C53C2411yescharacteristic
649C22⋊Dic53—21no—
650#11719925—22no—
651#11719925—41no—
652#11719925—41no—
653#11719924—22no—
654#11719924—41no—
655#11719924—41no—
656#11719924—41no—
657#11719924—41no—
658#11719924—41no—
659#11719924—41no—
660#11719923—22no—
661#11719922—22no—
662#11719921—21no—
663#11719921—21no—
664#11719921—21no—
665#11719921—21no—
666#11719921—21no—
667#11719921—21no—
668#11719921—21no—
669#11719921—21no—
670#11719921—21no—
671#11719921—21no—
672#11719921—21no—
673#11719921—21no—
674#11719921—21no—
675#11719921—21no—
676#11719921—21no—
677#11719921—21no—
678#11719921—21no—
679#11719921—21no—
680#11719921—21no—
681#11719921—21no—
682#11719921—21no—
683#11719921—21no—
684#11719921—21no—
685#11719921—21no—
686#11719921—21no—
687#11719921—21no—
688#11719921C2×D411yescharacteristic
689#11719921C2×D411yescharacteristic
690#11719921C2×D411yescharacteristic
691#11719921C2×D411yescharacteristic
692#11719921C2×D411yescharacteristic
693#11719921C2×D411yescharacteristic
694#11719921C2×D411yescharacteristic
695#11719921C2×D411yescharacteristic
696C4⋊Dic53—21no—
697C4⋊Dic53—21no—
698C4⋊Dic53—21no—
699C4⋊Dic53—21no—
700C4⋊Dic53—21no—
701C4⋊Dic53C2×D411yescharacteristic
702C4⋊Dic53C2×D411yescharacteristic
703C4⋊Dic53C2×D411yescharacteristic
704C4⋊Dic53C2×D411yescharacteristic
705C4⋊Dic53C2411yescharacteristic
706C4⋊Dic53C2411yescharacteristic
707#11719919—21no—
708#11719919—21no—
709#11719919—21no—
710#11719919—21no—
711#11719919—21no—
712#11719919—21no—
713#11719919—21no—
714#11719919—21no—
715C4×Dic53—21no—
716C4×Dic53—21no—
717C4×Dic53—21no—
718C2×#88322C2411yescharacteristic
719C2×#88322C2411yescharacteristic
720C2×#88322C2411yescharacteristic
721C2×#88322C2411yescharacteristic
722Dic212—41no—
723D424—41no—
724D424—41no—
725D424—41no—
726#11719913—41no—
727#11719913—41no—
728#11719913—41no—
729#11719913—41no—
730#11719912—41no—
731#11719912—41no—
732#11719912—41no—
733#11719912—41no—
734#11719912—41no—
735#11719912—41no—
736C8×D53—41no—
737C8×D53—41no—
738C23×C53—21no—
739C23×C53C22×D411yescharacteristic
740C22×D53—21no—
741C22×D53—21no—
742C22×D53—21no—
743C22×D53—21no—
744C22×D53—41no—
745C22×D53—41no—
746C22×D53—41no—
747C22×D53—42no—
748C22×D53—42no—
749C22×D53—42no—
750C22×D53—42no—
751C22×D53—42no—
752C22×D53—81no—
753C22×D53—81no—
754C22×D53—81no—
755C22×D53—81no—
756C22×D53—81no—
757C22×D53—81no—
758C22×D53—81no—
759C22×D53C22×D411yescharacteristic
760C22×D53C22×D411yescharacteristic
761C22×D53C22×D411yescharacteristic
762C22×D53C22×D411yescharacteristic
763Q8×C53—21no—
764Q8×C53—21no—
765Q8×C53—21no—
766Q8×C53—21no—
767Q8×C53—21no—
768Q8×C53H(5,𝔽2)12yes—
769D4×C53—24no—
770D4×C53—21no—
771D4×C53H(5,𝔽2)12yes—
772C2×C4×C53—24no—
773C2×C4×C53—21no—
774C2×C4×C53—21no—
775C2×C4×C53—21no—
776C2×C4×C53—21no—
777C2×C4×C53—21no—
778C2×C4×C53—21no—
779C2×C4×C53—21no—
780C2×C4×C53—21no—
781C2×C4×C53—21no—
782C2×C4×C53—81no—
783C2×C4×C53—81no—
784C2×C4×C53—81no—
785C2×C4×C53C22×D411yescharacteristic
786C2×C4×C53C22×D411yescharacteristic
787C2×C4×C53C22×D411yescharacteristic
788C2×C4×C53C22×D411yescharacteristic
789C2×C4×C53C22×D411yescharacteristic
790C2×C4×C53C2511yescharacteristic
791C22⋊D53—41no—
792C22⋊D53—41no—
793C22⋊D53—42no—
794C22⋊D53—42no—
795C22⋊D53—42no—
796C22⋊D53—42no—
797C22⋊D53—42no—
798C22⋊D53—81no—
799C2×Dic53—21no—
800C2×Dic53—21no—
801C2×Dic53—21no—
802C2×Dic53—21no—
803C2×Dic53—41no—
804C2×Dic53—42no—
805C2×Dic53C22×D411yescharacteristic
806C2×Dic53C22×D411yescharacteristic
807C2×Dic53C22×D411yescharacteristic
808C2×Dic53C22×D411yescharacteristic
809D212—21no—
810D212—21no—
811D212—21no—
812D212—21no—
813D212—21no—
814D212—21no—
815D212—21no—
816D212—21no—
817D212—41no—
818D212—41no—
819D212—41no—
820D212—41no—
821D212—41no—
822D212—42no—
823D212—42no—
824D212—42no—
825D212—42no—
826D212—42no—
827D212—42no—
828D212—42no—
829D212—81no—
830D212—81no—
831D212—81no—
832D212—81no—
833D212—81no—
834D212—81no—
835D212—81no—
836D212—81no—
837D212—81no—
838D212—81no—
839D212—81no—
840C4×D53—21no—
841C4×D53—21no—
842C4×D53—21no—
843C4×D53—21no—
844C4×D53—21no—
845C4×D53—21no—
846C4×D53—21no—
847C4×D53—21no—
848C4×D53—41no—
849C4×D53—41no—
850C4×D53—42no—
851C4×D53—42no—
852C4×D53—42no—
853C4×D53—42no—
854C4×D53—42no—
855C4×D53—81no—
856C4×D53—81no—
857C4×D53—81no—
858C4×D53—81no—
859C4×D53—81no—
860C4×D53—81no—
861C4×D53—81no—
862Dic106—21no—
863Dic106—21no—
864Dic106—21no—
865Dic106—21no—
866Dic106—41no—
867Dic106—42no—
868Dic106—81no—
869Dic106—81no—
870Dic106—81no—
871C8×C53—21no—
872C8×C53—21no—
873C8×C53—21no—
874C8×C53—21no—
875#88322—21no—
876#88322—21no—
877#88322—21no—
878#88322—21no—
879#61654—531nomaximal, Sylow
880C22×C53—21no—
881C22×C53—21no—
882C22×C53—21no—
883C22×C53—22no—
884C22×C53—41no—
885C22×C53—41no—
886C22×C53C23×D411yescharacteristic
887C2×D53—21no—
888C2×D53—21no—
889C2×D53—21no—
890C2×D53—21no—
891C2×D53—21no—
892C2×D53—21no—
893C2×D53—21no—
894C2×D53—21no—
895C2×D53—21no—
896C2×D53—21no—
897C2×D53—21no—
898C2×D53—21no—
899C2×D53—41no—
900C2×D53—41no—
901C2×D53—41no—
902C2×D53—41no—
903C2×D53—41no—
904C2×D53—41no—
905C2×D53—41no—
906C2×D53—41no—
907C2×D53—41no—
908C2×D53—41no—
909C2×D53—41no—
910C2×D53—41no—
911C2×D53—82no—
912C2×D53—84no—
913C2×D53—162no—
914C2×D53—162no—
915C2×D53—162no—
916C4×C53—21no—
917C4×C53—21no—
918C4×C53—21no—
919C4×C53—21no—
920C4×C53—21no—
921C4×C53—22no—
922C4×C53—41no—
923C4×C53—41no—
924C4×C53—41no—
925C4×C53—41no—
926C4×C53—41no—
927C4×C53—41no—
928C4×C53C2×H(5,𝔽2)11yescharacteristic
929C4×C53C2×H(5,𝔽2)11yescharacteristic
930Dic53—21no—
931Dic53—21no—
932Dic53—21no—
933Dic53—21no—
934Dic53—41no—
935Dic53—41no—
936Dic53—41no—
937Dic53—41no—
938#3541—531no—
939#3488—531no—
940#3333—531no—
941#3327—531no—
942#3324—531no—
943#3322—531no—
944#3314—531no—
945#3313—531no—
946#3310—531no—
947#3309—531no—
948#3278—531no—
949#3277—531no—
950#3275—531no—
951#3272—531no—
952#3271—531no—
953#3269—531no—
954#3266—531no—
955#3265—531no—
956#3224—531no—
957#3222—531no—
958#3203—531no—
959#3201—531no—
960#3194—531no—
961#3193—531no—
962#3124—531no—
963#3120D5311yescharacteristic, complemented
964#3012—531no—
965#3009—531no—
966#3007—531no—
967#3005—531no—
968#2978—531no—
969C2×C53—41no—
970C2×C53—42no—
971C2×C53#348411yescharacteristic
972C2×C53#358511yescharacteristic
973C2×C53#358611yescharacteristic
974D53—41no—
975D53—41no—
976D53—41no—
977D53—41no—
978D53—81no—
979D53—81no—
980D53—81no—
981D53—81no—
982C2×H(5,𝔽2)—531no—
983C22×#41—531no—
984C2×#137—531no—
985C2×#137—531no—
986C2×#137—531no—
987C2×#137—531no—
988C2×AGL(1,ℤ/8)—531no—
989C2×AGL(1,ℤ/8)—531no—
990C2×#135—531no—
991C22×SD16—531no—
992#563—1061no—
993#562—1061no—
994#556—531no—
995#554—531no—
996#554—1061no—
997#553—531no—
998#553—1061no—
999#552—531no—
1000#550—531no—
1001#550—531no—
1002D4×Q8—531no—
1003#548—531no—
1004#548—531no—
1005#548—531no—
1006#548—531no—
1007#547—531no—
1008#546—531no—
1009#546—531no—
1010#546—1061no—
1011#546—1061no—
1012D42—531no—
1013D42—531no—
1014D42—1061no—
1015D42—1061no—
1016#542—531no—
1017#542—1061no—
1018#541C2×D5311yescharacteristic, complemented
1019#539—1061no—
1020#538—1061no—
1021#538—1061no—
1022#537—531no—
1023#537—531no—
1024#537—1061no—
1025#536—531no—
1026#535—531no—
1027#535—1061no—
1028#525—531no—
1029#525—531no—
1030#525—1061no—
1031C2×C22⋊Q8—531no—
1032C2×#121—531no—
1033C2×#121—1061no—
1034#520C2×D5311yescharacteristic
1035#497—531no—
1036#496—531no—
1037#495—531no—
1038#492—531no—
1039#490—531no—
1040#489—531no—
1041#488—531no—
1042#486—531no—
1043#485—531no—
1044#484—531no—
1045#484—531no—
1046#484C2×D5311yescharacteristic, complemented
1047#483C2×D5311yescharacteristic, complemented
1048#482—531no—
1049#482—531no—
1050#482—531no—
1051#480—531no—
1052#480—531no—
1053#480—531no—
1054#480—531no—
1055#479C2×D5311yescharacteristic, complemented
1056#478C2×D5311yescharacteristic, complemented
1057#477—531no—
1058#474—531no—
1059#470—531no—
1060#469—531no—
1061#469—531no—
1062#468—531no—
1063#468—531no—
1064#468—531no—
1065#468—531no—
1066#468—531no—
1067#468—531no—
1068#468—531no—
1069#468—531no—
1070#468—531no—
1071#467—531no—
1072#467—531no—
1073#466—531no—
1074#465—531no—
1075#464—531no—
1076#464—531no—
1077#464—531no—
1078#464—531no—
1079#463—531no—
1080#463—531no—
1081#462C2×D5311yescharacteristic, complemented
1082#461C2×D5311yescharacteristic, complemented
1083#460—531no—
1084#460—531no—
1085#460—531no—
1086#459—531no—
1087#452—531no—
1088#452—531no—
1089#452—531no—
1090#452—531no—
1091#452—531no—
1092#452—531no—
1093#452—531no—
1094#452—531no—
1095#452—531no—
1096#452—531no—
1097#452C2×D5311yescharacteristic
1098#452C2×D5311yescharacteristic
1099#451—531no—
1100#451—531no—
1101#451—531no—
1102#450—531no—
1103#450—531no—
1104#450—531no—
1105#450—531no—
1106#450—531no—
1107#450—531no—
1108#450—531no—
1109#450—531no—
1110#449—531no—
1111#449—531no—
1112#449—531no—
1113#449—531no—
1114#449—531no—
1115#449—531no—
1116#449—531no—
1117#449—531no—
1118#448—531no—
1119#448—531no—
1120#448—531no—
1121#447—531no—
1122#447—531no—
1123#441C2×D5311yescharacteristic, complemented
1124#440—531no—
1125#440—531no—
1126#440C2×D5311yescharacteristic, complemented
1127C4×Q16—531no—
1128C4×Q16C2×D5311yescharacteristic, complemented
1129C4×SD16C2×D5311yescharacteristic, complemented
1130C4×D8—531no—
1131#436—531no—
1132#436—531no—
1133#436—531no—
1134#436—531no—
1135#435—531no—
1136#435—531no—
1137#435—531no—
1138#435—531no—
1139#433—531no—
1140#433C2×D5311yescharacteristic, complemented
1141#419—531no—
1142#418—531no—
1143#418—531no—
1144#417—531no—
1145#417—531no—
1146#417—531no—
1147#416—531no—
1148C2×#102—531no—
1149#408—531no—
1150#408—531no—
1151#407—531no—
1152#407—531no—
1153C53#6165411yescharacteristic, complemented, Sylow
1154H(5,𝔽2)—2122no—
1155H(5,𝔽2)—2122no—
1156C2×#41—531no—
1157C2×#41—531no—
1158C2×#41—531no—
1159C2×#41—531no—
1160C2×#41—531no—
1161C2×#41—531no—
1162C2×#41—531no—
1163C2×#41—531no—
1164C2×#41—1061no—
1165C2×#41—1061no—
1166C2×#41—1061no—
1167C2×#41—2122no—
1168C2×#41—2122no—
1169C2×#41C22×D5311yescharacteristic
1170C22×Q8—531no—
1171C22×Q8—531no—
1172C22×Q8—531no—
1173C22×D4—531no—
1174C22×D4—531no—
1175C22×D4—531no—
1176C22×D4—531no—
1177C22×D4—1061no—
1178C22×D4—1061no—
1179C22×D4—1061no—
1180C22×D4—1061no—
1181C22×D4—1061no—
1182C22×D4—1061no—
1183C22×D4—1061no—
1184C23×C4—531no—
1185C23×C4—1061no—
1186#137—2122no—
1187#137—2122no—
1188#137—2122no—
1189#137—2122no—
1190AGL(1,ℤ/8)—2122no—
1191AGL(1,ℤ/8)—2122no—
1192#135—2122no—
1193C2×Q16—531no—
1194C2×Q16—531no—
1195C2×Q16—531no—
1196C2×Q16—531no—
1197C2×Q16C22×D5311yescharacteristic
1198C2×Q16C22×D5311yescharacteristic
1199C2×SD16—531no—
1200C2×SD16—531no—
1201C2×SD16—531no—
1202C2×SD16—531no—
1203C2×SD16—531no—
1204C2×SD16—531no—
1205C2×SD16—531no—
1206C2×SD16—531no—
1207C2×SD16—531no—
1208C2×SD16—531no—
1209C2×SD16—531no—
1210C2×SD16—531no—
1211C2×SD16—2122no—
1212C2×SD16C22×D5311yescharacteristic
1213C2×SD16C22×D5311yescharacteristic
1214C2×D8—531no—
1215C2×D8—531no—
1216C2×D8—531no—
1217C2×D8—531no—
1218C2×M16—531no—
1219C2×M16—531no—
1220C2×M16—531no—
1221C2×M16—531no—
1222C2×M16—531no—
1223C2×M16—531no—
1224C22×C8—531no—
1225C22×C8—531no—
1226C4⋊Q8—531no—
1227C4⋊Q8—1061no—
1228C4⋊Q8—1061no—
1229C4⋊Q8C22×D5311yescharacteristic
1230#127—531no—
1231#127—531no—
1232#127—1061no—
1233#127—1061no—
1234#126—21no—
1235#126—21no—
1236#126—1061no—
1237#126—1061no—
1238#126—1061no—
1239#126—1061no—
1240#126—1061no—
1241#125—21no—
1242#125—21no—
1243#125—1061no—
1244#125—1061no—
1245#125C22×D5311yescharacteristic
1246#124—531no—
1247#124—531no—
1248#124—531no—
1249#124—1061no—
1250#124—1061no—
1251#124—1061no—
1252#124—1061no—
1253#124—1061no—
1254#124—1061no—
1255#124—1061no—
1256#123—531no—
1257#123—531no—
1258#123—1061no—
1259#123—1061no—
1260#123—1061no—
1261#123—1061no—
1262#123—1061no—
1263#123—1061no—
1264#123—1061no—
1265#123—1061no—
1266#123—1061no—
1267#123—1061no—
1268C22⋊Q8—531no—
1269C22⋊Q8—531no—
1270C22⋊Q8—531no—
1271C22⋊Q8—531no—
1272C22⋊Q8—531no—
1273C22⋊Q8—531no—
1274C22⋊Q8—531no—
1275C22⋊Q8—531no—
1276C22⋊Q8—531no—
1277C22⋊Q8—531no—
1278C22⋊Q8—531no—
1279C22⋊Q8—1061no—
1280C22⋊Q8—1061no—
1281C22⋊Q8—1061no—
1282C22⋊Q8—1061no—
1283C22⋊Q8—1061no—
1284C22⋊Q8—1061no—
1285C22⋊Q8—1061no—
1286C22⋊Q8—1061no—
1287C22⋊Q8—1061no—
1288C22⋊Q8—1061no—
1289C22⋊Q8—1061no—
1290C22⋊Q8—1061no—
1291C22⋊Q8—1061no—
1292C22⋊Q8C22×D5311yescharacteristic
1293C22⋊Q8C22×D5311yescharacteristic
1294#121—531no—
1295#121—531no—
1296#121—531no—
1297#121—531no—
1298#121—531no—
1299#121—531no—
1300#121—531no—
1301#121—531no—
1302#121—531no—
1303#121—531no—
1304#121—531no—
1305#121—1061no—
1306#121—1061no—
1307#121—1061no—
1308#121—1061no—
1309#121—1061no—
1310#121—1061no—
1311#121—1061no—
1312#121—1061no—
1313#121—1061no—
1314#121—1061no—
1315#121—1061no—
1316#121—1061no—
1317#121—1061no—
1318#121—1061no—
1319#121—1061no—
1320#121—1061no—
1321#121—1061no—
1322#121—1061no—
1323#121—1061no—
1324#121—1061no—
1325#121—1061no—
1326#121—1061no—
1327#121—1061no—
1328#121—1061no—
1329#120—531no—
1330#120—531no—
1331#120—1061no—
1332#120—1061no—
1333#120—1061no—
1334#120—1061no—
1335#120—1061no—
1336#120—1061no—
1337#120—1061no—
1338#120—1061no—
1339#120—1061no—
1340C4×Q8—531no—
1341C4×Q8—1061no—
1342C4×Q8C22×D5311yescharacteristic
1343C4×Q8C22×D5311yescharacteristic
1344C4×Q8C22×D5311yescharacteristic
1345C4×Q8C22×D5311yescharacteristic
1346C4×D4—21no—
1347C4×D4—21no—
1348C4×D4—531no—
1349C4×D4—531no—
1350C4×D4—531no—
1351C4×D4—531no—
1352C4×D4—531no—
1353C4×D4—1061no—
1354C4×D4—1061no—
1355C4×D4—1061no—
1356C4×D4—1061no—
1357C4×D4—1061no—
1358C4×D4—1061no—
1359C4×D4—1061no—
1360C4×D4—1061no—
1361C4×D4—1061no—
1362C4×D4—1061no—
1363C4×D4—1061no—
1364C4×D4C22×D5311yescharacteristic
1365C4×D4C22×D5311yescharacteristic
1366#117—21no—
1367#117—531no—
1368#117—531no—
1369#117—1061no—
1370#117C22×D5311yescharacteristic
1371C2×C4⋊C4—21no—
1372C2×C4⋊C4—531no—
1373C2×C4⋊C4—531no—
1374C2×C4⋊C4—1061no—
1375C2×C4⋊C4—1061no—
1376C2×C4⋊C4C22×D5311yescharacteristic
1377C2×C22⋊C4—1061no—
1378C2×C22⋊C4—1061no—
1379C2×C22⋊C4—1061no—
1380C2×C22⋊C4—1061no—
1381#107—531no—
1382#107—531no—
1383#107—531no—
1384#107—531no—
1385#107C22×D5311yescharacteristic
1386#107C22×D5311yescharacteristic
1387#106C22×D5311yescharacteristic
1388#106C22×D5311yescharacteristic
1389C4⋊C8—531no—
1390C4⋊C8—531no—
1391C4⋊C8C22×D5311yescharacteristic
1392C4⋊C8C22×D5311yescharacteristic
1393#103—531no—
1394#103—531no—
1395#103—531no—
1396#103—531no—
1397#103—531no—
1398#103—531no—
1399#103—531no—
1400#103—531no—
1401#103C22×D5311yescharacteristic
1402#103C22×D5311yescharacteristic
1403#103C22×D5311yescharacteristic
1404#103C22×D5311yescharacteristic
1405#103C22×D5311yescharacteristic
1406#103C22×D5311yescharacteristic
1407#102—531no—
1408#102—531no—
1409#102—531no—
1410#102—531no—
1411#102—531no—
1412#102—531no—
1413#102—531no—
1414#102—531no—
1415#102—531no—
1416#102—531no—
1417#102—531no—
1418#102—531no—
1419#102—531no—
1420#102—531no—
1421#102—531no—
1422#102—531no—
1423#102C22×D5311yescharacteristic
1424#102C22×D5311yescharacteristic
1425C22⋊C8—531no—
1426C22⋊C8—531no—
1427C22⋊C8—531no—
1428C22⋊C8—531no—
1429C22⋊C8—531no—
1430C22⋊C8—531no—
1431C22⋊C8—531no—
1432C22⋊C8—531no—
1433C22⋊C8—531no—
1434C22⋊C8—531no—
1435C22⋊C8C22×D5311yescharacteristic
1436C22⋊C8C22×D5311yescharacteristic
1437#97—531no—
1438#97C22×D5311yescharacteristic
1439C4×C8—531no—
1440C4×C8C22×D5311yescharacteristic
1441C24—531no—
1442C24—1061no—
1443C24—1061no—
1444C24—1061no—
1445C24—1061no—
1446#41—22no—
1447#41—22no—
1448#41—1062no—
1449#41—1062no—
1450#41—1062no—
1451#41—1062no—
1452#41—2121no—
1453#41—2121no—
1454#41—2121no—
1455#41—2121no—
1456#41—2124no—
1457#41—2124no—
1458#41—2121no—
1459#41—2121no—
1460#41—2121no—
1461#41—2121no—
1462#41—2121no—
1463#41—2121no—
1464#41—2121no—
1465#41—2121no—
1466#41—2124no—
1467C2×Q8—531no—
1468C2×Q8—531no—
1469C2×Q8—531no—
1470C2×Q8—1061no—
1471C2×Q8—1061no—
1472C2×Q8—1061no—
1473C2×Q8—1061no—
1474C2×Q8—1062no—
1475C2×Q8—2121no—
1476C2×Q8—2121no—
1477C2×Q8—2121no—
1478C2×Q8—2121no—
1479C2×Q8—2121no—
1480C2×Q8C23×D5311yescharacteristic
1481C2×Q8C23×D5311yescharacteristic
1482C2×Q8C23×D5311yescharacteristic
1483C2×D4—21no—
1484C2×D4—531no—
1485C2×D4—531no—
1486C2×D4—531no—
1487C2×D4—531no—
1488C2×D4—531no—
1489C2×D4—531no—
1490C2×D4—531no—
1491C2×D4—531no—
1492C2×D4—531no—
1493C2×D4—531no—
1494C2×D4—531no—
1495C2×D4—1061no—
1496C2×D4—1061no—
1497C2×D4—1061no—
1498C2×D4—1061no—
1499C2×D4—1061no—
1500C2×D4—1061no—
1501C2×D4—1061no—
1502C2×D4—1061no—
1503C2×D4—1061no—
1504C2×D4—1061no—
1505C2×D4—1061no—
1506C2×D4—1061no—
1507C2×D4—1061no—
1508C2×D4—1061no—
1509C2×D4—1061no—
1510C2×D4—1061no—
1511C2×D4—1062no—
1512C2×D4—1062no—
1513C2×D4—1062no—
1514C2×D4—1061no—
1515C2×D4—1061no—
1516C2×D4—1061no—
1517C2×D4—1061no—
1518C2×D4—1061no—
1519C2×D4—1061no—
1520C2×D4—1061no—
1521C2×D4—1061no—
1522C2×D4—4242no—
1523C2×D4—4242no—
1524C2×D4—4242no—
1525C2×D4—2121no—
1526C2×D4—2121no—
1527C2×D4—2124no—
1528C2×D4—2121no—
1529C2×D4—2121no—
1530C2×D4—2121no—
1531C2×D4—2124no—
1532C2×D4—2124no—
1533C2×D4—2124no—
1534C2×D4C23×D5311yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—531no—
1540C22×C4—531no—
1541C22×C4—531no—
1542C22×C4—531no—
1543C22×C4—531no—
1544C22×C4—531no—
1545C22×C4—531no—
1546C22×C4—1061no—
1547C22×C4—1061no—
1548C22×C4—1061no—
1549C22×C4—1061no—
1550C22×C4—1061no—
1551C22×C4—1061no—
1552C22×C4—1061no—
1553C22×C4—1061no—
1554C22×C4—1061no—
1555C22×C4—1061no—
1556C22×C4—1061no—
1557C22×C4—1061no—
1558C22×C4—1061no—
1559C22×C4—2121no—
1560C22×C4—2121no—
1561C22×C4—2124no—
1562C22×C4C23×D5311yescharacteristic
1563Q16—22no—
1564Q16—22no—
1565Q16—1062no—
1566Q16—2121no—
1567Q16—2121no—
1568Q16—2121no—
1569SD16—22no—
1570SD16—22no—
1571SD16—1062no—
1572SD16—1062no—
1573SD16—2121no—
1574SD16—2121no—
1575SD16—2121no—
1576SD16—2121no—
1577SD16—2121no—
1578SD16—2121no—
1579SD16—2121no—
1580SD16—2121no—
1581SD16—2121no—
1582SD16—2121no—
1583D8—1062no—
1584D8—2121no—
1585D8—2121no—
1586D8—2121no—
1587M16—2121no—
1588M16—2121no—
1589M16—2121no—
1590M16—2121no—
1591M16—2121no—
1592M16—2121no—
1593C2×C8—531no—
1594C2×C8—531no—
1595C2×C8—531no—
1596C2×C8—531no—
1597C2×C8—2121no—
1598C2×C8—2121no—
1599C2×C8C23×D5311yescharacteristic
1600C2×C8C23×D5311yescharacteristic
1601C2×C8C23×D5311yescharacteristic
1602C2×C8C23×D5311yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—21no—
1611C4⋊C4—21no—
1612C4⋊C4—21no—
1613C4⋊C4—21no—
1614C4⋊C4—531no—
1615C4⋊C4—531no—
1616C4⋊C4—531no—
1617C4⋊C4—531no—
1618C4⋊C4—531no—
1619C4⋊C4—531no—
1620C4⋊C4—1061no—
1621C4⋊C4—1061no—
1622C4⋊C4—1061no—
1623C4⋊C4—1061no—
1624C4⋊C4—1061no—
1625C4⋊C4—1061no—
1626C4⋊C4—1061no—
1627C4⋊C4—1061no—
1628C4⋊C4—1061no—
1629C4⋊C4—1061no—
1630C4⋊C4—1061no—
1631C4⋊C4—1061no—
1632C4⋊C4—1061no—
1633C4⋊C4D4×D5311yescharacteristic
1634C4⋊C4D4×D5311yescharacteristic
1635C4⋊C4C23×D5311yescharacteristic
1636C4⋊C4C23×D5311yescharacteristic
1637C4⋊C4C23×D5311yescharacteristic
1638C4⋊C4C23×D5311yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—531no—
1644C22⋊C4—531no—
1645C22⋊C4—531no—
1646C22⋊C4—531no—
1647C22⋊C4—531no—
1648C22⋊C4—531no—
1649C22⋊C4—531no—
1650C22⋊C4—531no—
1651C22⋊C4—1061no—
1652C22⋊C4—1061no—
1653C22⋊C4—1061no—
1654C22⋊C4—1061no—
1655C22⋊C4—1061no—
1656C22⋊C4—1061no—
1657C22⋊C4—1061no—
1658C22⋊C4—1061no—
1659C22⋊C4—1061no—
1660C22⋊C4—1061no—
1661C22⋊C4—1061no—
1662C22⋊C4—1061no—
1663C22⋊C4—1061no—
1664C22⋊C4—1061no—
1665C22⋊C4—1061no—
1666C22⋊C4—1061no—
1667C22⋊C4—1061no—
1668C22⋊C4—1061no—
1669C22⋊C4—1061no—
1670C22⋊C4—1061no—
1671C22⋊C4—1061no—
1672C22⋊C4—1061no—
1673C22⋊C4—1061no—
1674C22⋊C4—1061no—
1675C22⋊C4—1061no—
1676C22⋊C4—1061no—
1677C22⋊C4—1061no—
1678C22⋊C4D4×D5311yescharacteristic
1679C22⋊C4D4×D5311yescharacteristic
1680C42—21no—
1681C42—21no—
1682C42—21no—
1683C42—21no—
1684C42—1061no—
1685C42—1061no—
1686C42—1061no—
1687C42C23×D5311yescharacteristic
1688C42C23×D5311yescharacteristic
1689C23—21no—
1690C23—531no—
1691C23—531no—
1692C23—531no—
1693C23—531no—
1694C23—1061no—
1695C23—1061no—
1696C23—1061no—
1697C23—1061no—
1698C23—4241no—
1699C23—4241no—
1700C23—4241no—
1701C23—4241no—
1702C23—4241no—
1703C23—4241no—
1704C23—4241no—
1705C23—2122no—
1706C23—2122no—
1707C23—2122no—
1708C23—2121no—
1709C23—2121no—
1710C23—2121no—
1711C23—2122no—
1712C23—2122no—
1713C23C2×D4×D5311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—1061no—
1720Q8—1061no—
1721Q8—1061no—
1722Q8—1061no—
1723Q8—4241no—
1724Q8—4241no—
1725Q8—4241no—
1726Q8—2121no—
1727Q8—2122no—
1728Q8#1313326312yes—
1729D4—24no—
1730D4—21no—
1731D4—1061no—
1732D4—1061no—
1733D4—1061no—
1734D4—1061no—
1735D4—1061no—
1736D4—1061no—
1737D4—1061no—
1738D4—1061no—
1739D4—4241no—
1740D4—4241no—
1741D4—4241no—
1742D4—4241no—
1743D4—4241no—
1744D4—4241no—
1745D4—4241no—
1746D4—4241no—
1747D4—4241no—
1748D4—4241no—
1749D4—4241no—
1750D4—4241no—
1751D4—2121no—
1752D4—2121no—
1753D4—2121no—
1754D4—2121no—
1755D4—2121no—
1756D4—2122no—
1757D4—2122no—
1758D4—2122no—
1759D4—2122no—
1760D4—2122no—
1761D4—2122no—
1762D4—2122no—
1763D4—2121no—
1764D4—2121no—
1765D4—2122no—
1766D4—2122no—
1767D4—2122no—
1768D4—2122no—
1769D4—2122no—
1770D4#1313326312yes—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—81no—
1782C2×C4—81no—
1783C2×C4—81no—
1784C2×C4—531no—
1785C2×C4—531no—
1786C2×C4—531no—
1787C2×C4—531no—
1788C2×C4—1061no—
1789C2×C4—1061no—
1790C2×C4—1061no—
1791C2×C4—1061no—
1792C2×C4—1061no—
1793C2×C4—1061no—
1794C2×C4—1061no—
1795C2×C4—1061no—
1796C2×C4—1061no—
1797C2×C4—1061no—
1798C2×C4—1061no—
1799C2×C4—1061no—
1800C2×C4—4241no—
1801C2×C4—4241no—
1802C2×C4—4241no—
1803C2×C4—4241no—
1804C2×C4—4241no—
1805C2×C4—4241no—
1806C2×C4—4241no—
1807C2×C4—2121no—
1808C2×C4—2121no—
1809C2×C4—2122no—
1810C2×C4—2122no—
1811C2×C4—2122no—
1812C2×C4—2122no—
1813C2×C4—2122no—
1814C2×C4—2121no—
1815C2×C4—2122no—
1816C2×C4C2×D4×D5311yescharacteristic
1817C2×C4C2×D4×D5311yescharacteristic
1818C2×C4C2×D4×D5311yescharacteristic
1819C2×C4C2×D4×D5311yescharacteristic
1820C2×C4C2×D4×D5311yescharacteristic
1821C2×C4C24×D5311yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1061no—
1827C8—1061no—
1828C8—1061no—
1829C8—1061no—
1830C22—21no—
1831C22—22no—
1832C22—21no—
1833C22—21no—
1834C22—41no—
1835C22—41no—
1836C22—8482no—
1837C22—8482no—
1838C22—8482no—
1839C22—1061no—
1840C22—1061no—
1841C22—1061no—
1842C22—1061no—
1843C22—1061no—
1844C22—1061no—
1845C22—1061no—
1846C22—1061no—
1847C22—1061no—
1848C22—1061no—
1849C22—1061no—
1850C22—1061no—
1851C22—4244no—
1852C22—4242no—
1853C22—2121no—
1854C22—2121no—
1855C22—2121no—
1856C22—2121no—
1857C22—2121no—
1858C22—2121no—
1859C22—2121no—
1860C22—2121no—
1861C22—2121no—
1862C22—2121no—
1863C22—2121no—
1864C22—2121no—
1865C22C22×D4×D5311yescharacteristic
1866C4—21no—
1867C4—22no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—21no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—1061no—
1879C4—1061no—
1880C4—1061no—
1881C4—1061no—
1882C4—2121no—
1883C4—2121no—
1884C4—2121no—
1885C4—2121no—
1886C4C2×#1313326311yescharacteristic
1887C4C2×#1313326311yescharacteristic
1888C2—41no—
1889C2—42no—
1890C2—4241no—
1891C2—4241no—
1892C2—4241no—
1893C2—4241no—
1894C2—2121no—
1895C2—2121no—
1896C2—2121no—
1897C2—2121no—
1898C2#2028834811yescharacteristic
1899C2#2028949311yescharacteristic
1900C2#2028950011yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3120C2
socleC22×C53C23×D4
hypercenter#3120D53
hypocenterC53#61654
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #117 ◁ #3120

Complements

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

NH ≅ G/Ntype
1. #20289014C2semidirect
2. #20288385C2semidirect
3. #20287055C2semidirect
4. #20286980C2semidirect
5. #20286948C2semidirect
6. #20286913C2semidirect
7. #20286801C2semidirect
8. #20286786C2semidirect
9. #20286733C2semidirect
10. #20286718C2semidirect
11. #20286376C2semidirect
12. #20286371C2semidirect
13. #20286348C2semidirect
14. #20286318C2semidirect
15. #20286302C2semidirect
16. #20286265C2semidirect
17. #20286231C2semidirect
18. #20286212C2semidirect
19. #20285811C2semidirect
20. #20285781C2semidirect
21. #20285619C2semidirect
22. #20285604C2semidirect
23. #20285534C2semidirect
24. #20285520C2semidirect
25. #20284977C2semidirect
26. #20284023C2semidirect
27. #20283989C2semidirect
28. #20283972C2semidirect
29. #20283958C2semidirect
30. #20283776C2semidirect
31. C53×#3120C2semidirect
34. C2×#13133249C22semidirect
35. C2×#13133249C22semidirect
36. C2×#13133249C22semidirect
37. C2×#13133246C22semidirect
38. C2×#13133244C22semidirect
39. C2×#13133244C22semidirect
40. C2×#13133240C22semidirect
41. C2×SD16×D53C22semidirect
44. #16811346C22semidirect
45. #16811333C22semidirect
48. #16811326C22semidirect
49. #16811311C22semidirect
52. #16811288C22semidirect
55. #16811285C22semidirect
56. #16811285C22semidirect
57. #16811276C22semidirect
66. #16811244C22semidirect
73. #16811203C22semidirect
74. #16811196C22semidirect
77. #16811136C22semidirect
80. C22⋊Q8×D53C22semidirect
83. #16811015C22semidirect
84. #16811012C22semidirect
85. #16811007C22semidirect
86. #16810997C22semidirect
87. #16810989C22semidirect
88. #16810983C22semidirect
89. #16810980C22semidirect
90. #16810970C22semidirect
91. #16810967C22semidirect
92. #16810960C22semidirect
93. #16810958C22semidirect
94. #16810949C22semidirect
95. #16810949C22semidirect
96. #16810949C22semidirect
97. #16810938C22semidirect
98. #16810938C22semidirect
99. #16810938C22semidirect
100. #16810936C22semidirect
101. #16810918C22semidirect
102. #16810903C22semidirect
103. #16810882C22semidirect
104. #16810877C22semidirect
105. #16810877C22semidirect
106. #16810872C22semidirect
107. #16810872C22semidirect
108. #16810872C22semidirect
109. #16810872C22semidirect
110. #16810872C22semidirect
111. #16810872C22semidirect
112. #16810870C22semidirect
113. #16810870C22semidirect
114. #16810870C22semidirect
115. #16810863C22semidirect
116. #16810863C22semidirect
117. #16810860C22semidirect
118. #16810853C22semidirect
119. #16810846C22semidirect
120. #16810845C22semidirect
121. #16810845C22semidirect
122. #16810845C22semidirect
123. #16810839C22semidirect
124. #16810838C22semidirect
125. #16810824C22semidirect
126. #16810823C22semidirect
127. #16810823C22semidirect
128. #16810819C22semidirect
129. #16810788C22semidirect
130. #16810788C22semidirect
131. #16810787C22semidirect
133. #16810784C22semidirect
134. #16810784C22semidirect
135. #16810784C22semidirect
136. #16810783C22semidirect
137. #16810783C22semidirect
138. #16810782C22semidirect
139. #16810780C22semidirect
140. #16810780C22semidirect
141. #16810777C22semidirect
142. #16810776C22semidirect
143. #16810775C22semidirect
144. #16810775C22semidirect
145. #16810773C22semidirect
146. #16810773C22semidirect
147. #16810772C22semidirect
148. #16810772C22semidirect
149. #16810772C22semidirect
150. #16810771C22semidirect
151. #16810771C22semidirect
152. #16810771C22semidirect
153. #16810771C22semidirect
154. #16810771C22semidirect
155. #16810770C22semidirect
156. #16810769C22semidirect
158. #16810763C22semidirect
159. #16810763C22semidirect
160. #16810763C22semidirect
161. #16810759C22semidirect
162. #16810758C22semidirect
163. #16810723C22semidirect
164. #16810721C22semidirect
165. C4×#11719925C22semidirect
166. C4×#11719922C22semidirect
167. #16810702C22semidirect
168. #16810702C22semidirect
169. #16810700C22semidirect
170. #16810700C22semidirect
171. #16810696C22semidirect
172. #16810696C22semidirect
173. #16810693C22semidirect
174. #16810693C22semidirect
175. #16810684C22semidirect
176. #16810630C22semidirect
177. #16810626C22semidirect
178. #16810626C22semidirect
179. #16810623C22semidirect
180. #16810623C22semidirect
181. #16810621C22semidirect
182. #16810618C22semidirect
183. #102×D53C22semidirect
184. #16810588C22semidirect
185. #16810588C22semidirect
186. #16810585C22semidirect
187. #16810585C22semidirect
188. C53×#541C22semidirect
190. C53×#484C22semidirect
191. C53×#483C22semidirect
192. C53×#479C22semidirect
193. C53×#478C22semidirect
194. C53×#462C22semidirect
195. C53×#461C22semidirect
198. C53×#441C22semidirect
199. C53×#440C22semidirect
200. C4×Q16×C53C22semidirect
201. C4×SD16×C53C22semidirect
202. C53×#433C22semidirect
963. #3120D53semidirect
1018. #541C2×D53semidirect
1046. #484C2×D53semidirect
1047. #483C2×D53semidirect
1055. #479C2×D53semidirect
1056. #478C2×D53semidirect
1081. #462C2×D53semidirect
1082. #461C2×D53semidirect
1123. #441C2×D53semidirect
1126. #440C2×D53semidirect
1128. C4×Q16C2×D53semidirect
1129. C4×SD16C2×D53semidirect
1140. #433C2×D53semidirect
1153. C53#61654semidirect

Maximal subgroups

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

subgroupindex
#202890142
#202883852
#202870552
#202869802
#202869482
#202869132
#202868012
#202867862
#202867332
#202867182
#202863762
#202863712
#202863482
#202863182
#202863022
#202862652
#202862312
#202862122
#202858112
#202857812
#202856192
#202856042
#202855342
#202855202
#202849772
#202840232
#202839892
#202839722
#202839582
#202837762
C53×#31202
#6165453