Finite Group Databasebeta

← #28262279

Subgroups — #28262279

Order 13568.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288574C211yesmaximal, characteristic, complemented
2#20288475C211yesmaximal, characteristic
3#20287029C211yesmaximal, characteristic, complemented
4#20287024C211yesmaximal, characteristic, complemented
5#20286944C211yesmaximal, characteristic, complemented
6#20286939C211yesmaximal, characteristic, complemented
7#20286938C211yesmaximal, characteristic, complemented
8#20286931C211yesmaximal, characteristic, complemented
9#20286928C211yesmaximal, characteristic, complemented
10#20286925C211yesmaximal, characteristic, complemented
11#20286628C211yesmaximal, characteristic, complemented
12#20286627C211yesmaximal, characteristic, complemented
13#20286555C211yesmaximal, characteristic, complemented
14#20286552C211yesmaximal, characteristic, complemented
15#20286549C211yesmaximal, characteristic, complemented
16#20286535C211yesmaximal, characteristic, complemented
17#20286534C211yesmaximal, characteristic, complemented
18#20285036C211yesmaximal, characteristic, complemented
19#20284707C211yesmaximal, characteristic, complemented
20#20284699C211yesmaximal, characteristic, complemented
21#20284510C211yesmaximal, characteristic, complemented
22#20284405C211yesmaximal, characteristic, complemented
23#20284399C211yesmaximal, characteristic, complemented
24#20284185C211yesmaximal, characteristic, complemented
25#20283989C211yesmaximal, characteristic, complemented
26#20283987C211yesmaximal, characteristic, complemented
27C4×SD16×D53C211yesmaximal, characteristic, complemented
28#20283422C211yesmaximal, characteristic, complemented
29#20283237C211yesmaximal, characteristic, complemented
30#20283236C211yesmaximal, characteristic, complemented
31C53×#3296C211yesmaximal, characteristic, complemented
32C2×#13133263C2211yescharacteristic
33C2×#13133262C2211yescharacteristic
34C2×#13133249C2211yescharacteristic, complemented
35C2×#13133246C2211yescharacteristic, complemented
36C2×SD16×D53C2211yescharacteristic
37C2×#13133223C2211yescharacteristic, complemented
38C2×#13133223C2211yescharacteristic, complemented
39#16811357—21no—
40#16811350—21no—
41#16811344C2211yescharacteristic, complemented
42#16811341—21no—
43#16811341C2211yescharacteristic, complemented
44#16811340—21no—
45#16811331C2211yescharacteristic, complemented
46#16811328C2211yescharacteristic, complemented
47#16811314C2211yescharacteristic, complemented
48#16811313C2211yescharacteristic, complemented
49#16811311C2211yescharacteristic, complemented
50#16811275C2211yescharacteristic
51#16811272C2211yescharacteristic
52#16811271—21no—
53#16811269C2211yescharacteristic
54#16811268C2211yescharacteristic
55#16811266C2211yescharacteristic
56#16811263—21no—
57#16811262—21no—
58#16811257C2211yescharacteristic
59D4×C22⋊D53C2211yescharacteristic
60#16811255—21no—
61#16811221—21no—
62#16811216—21no—
63#16811203C2211yescharacteristic
64#16811202C2211yescharacteristic
65#16811196C2211yescharacteristic, complemented
66#16811196C2211yescharacteristic, complemented
67#16811184—21no—
68#16811183—21no—
69#16811179C2211yescharacteristic, complemented
70#16811172C2211yescharacteristic
71#16811170C2211yescharacteristic
72#16811156—21no—
73#16811151—21no—
74C2×#13133190—21no—
75#121×D53—21no—
76#16811104C2211yescharacteristic, complemented
77#16811103C2211yescharacteristic, complemented
78C4×Q8×D53C2211yescharacteristic, complemented
79C4×D4×D53C2211yescharacteristic
80#16810980C2211yescharacteristic, complemented
81#16810978C2211yescharacteristic, complemented
82#16810977C2211yescharacteristic, complemented
83#16810972C2211yescharacteristic, complemented
84#16810972C2211yescharacteristic, complemented
85#16810968C2211yescharacteristic, complemented
86#16810968C2211yescharacteristic, complemented
87#16810966C2211yescharacteristic, complemented
88#16810964C2211yescharacteristic, complemented
89#16810963C2211yescharacteristic, complemented
90#16810961C2211yescharacteristic, complemented
91#16810955C2211yescharacteristic, complemented
92#16810954C2211yescharacteristic, complemented
93#16810952C2211yescharacteristic, complemented
94#16810949C2211yescharacteristic, complemented
95#16810948C2211yescharacteristic, complemented
96#16810946C2211yescharacteristic, complemented
97#16810943C2211yescharacteristic, complemented
98#16810941C2211yescharacteristic, complemented
99#16810940C2211yescharacteristic, complemented
100#16810939C2211yescharacteristic, complemented
101#16810924C2211yescharacteristic, complemented
102#16810923C2211yescharacteristic, complemented
103#16810920C2211yescharacteristic, complemented
104#16810912C2211yescharacteristic, complemented
105#16810911C2211yescharacteristic, complemented
106#16810902C2211yescharacteristic, complemented
107#16810901C2211yescharacteristic, complemented
108#16810882C2211yescharacteristic, complemented
109#16810879C2211yescharacteristic, complemented
110#16810879C2211yescharacteristic, complemented
111#16810878C2211yescharacteristic, complemented
112#16810871C2211yescharacteristic, complemented
113#16810870C2211yescharacteristic, complemented
114#16810867C2211yescharacteristic, complemented
115#16810866C2211yescharacteristic, complemented
116#16810864C2211yescharacteristic, complemented
117#16810863C2211yescharacteristic, complemented
118#16810863C2211yescharacteristic, complemented
119#16810855C2211yescharacteristic, complemented
120#16810852C2211yescharacteristic, complemented
121#16810851C2211yescharacteristic, complemented
122#16810846C2211yescharacteristic, complemented
123#16810845C2211yescharacteristic, complemented
124#16810842C2211yescharacteristic, complemented
125#16810832C2211yescharacteristic, complemented
126#16810831C2211yescharacteristic, complemented
127#16810822C2211yescharacteristic, complemented
128#16810821C2211yescharacteristic, complemented
129#16810788C2211yescharacteristic, complemented
130#16810787C2211yescharacteristic, complemented
131#16810786C2211yescharacteristic, complemented
132#16810785C2211yescharacteristic, complemented
133#16810784C2211yescharacteristic, complemented
134#16810783C2211yescharacteristic, complemented
135#16810782C2211yescharacteristic, complemented
136#16810776C2211yescharacteristic, complemented
137#16810775C2211yescharacteristic, complemented
138#16810775C2211yescharacteristic, complemented
139#16810774C2211yescharacteristic, complemented
140#16810773C2211yescharacteristic, complemented
141#16810772C2211yescharacteristic, complemented
142#16810772C2211yescharacteristic, complemented
143#16810714C2211yescharacteristic, complemented
144C4×#11719913C2211yescharacteristic, complemented
145SD16×Dic53C2211yescharacteristic, complemented
146C4×#11719924C2211yescharacteristic, complemented
147#16810710C2211yescharacteristic, complemented
148C4×#11719923C2211yescharacteristic, complemented
149#16810708C2211yescharacteristic, complemented
150#16810701C2211yescharacteristic, complemented
151#16810700C2211yescharacteristic, complemented
152#16810698C2211yescharacteristic, complemented
153#16810698C2211yescharacteristic, complemented
154C8×D212C2211yescharacteristic, complemented
155C8×C22⋊D53C2211yescharacteristic, complemented
156C8×C22⋊D53C2211yescharacteristic, complemented
157#16810664C2211yescharacteristic, complemented
158#16810662C2211yescharacteristic, complemented
159#106×D53C2211yescharacteristic, complemented
160#16810645C2211yescharacteristic, complemented
161#16810628C2211yescharacteristic, complemented
162#16810627C2211yescharacteristic, complemented
163#16810626C2211yescharacteristic
164#16810626C2211yescharacteristic
165#16810626C2211yescharacteristic, complemented
166#16810626C2211yescharacteristic, complemented
167#16810624C2211yescharacteristic, complemented
168#16810623C2211yescharacteristic, complemented
169#16810623C2211yescharacteristic, complemented
170#16810622C2211yescharacteristic, complemented
171#16810621C2211yescharacteristic, complemented
172#16810621C2211yescharacteristic, complemented
173#16810620C2211yescharacteristic, complemented
174#16810618C2211yescharacteristic, complemented
175#16810618C2211yescharacteristic, complemented
176#16810618C2211yescharacteristic, complemented
177#16810616C2211yescharacteristic, complemented
178#16810616C2211yescharacteristic, complemented
179#16810616C2211yescharacteristic, complemented
180#103×D53C2211yescharacteristic, complemented
181C2×#13133139C2211yescharacteristic, complemented
182#102×D53C2211yescharacteristic
183#102×D53C2211yescharacteristic, complemented
184#102×D53C2211yescharacteristic, complemented
185#16810588C2211yescharacteristic, complemented
186#16810588C2211yescharacteristic, complemented
187C4×C8×D53C2211yescharacteristic, complemented
188C53×#552C2211yescharacteristic, complemented
189C53×#546C2211yescharacteristic
190C53×#488C2211yescharacteristic, complemented
191C53×#483C2211yescharacteristic, complemented
192C53×#482C2211yescharacteristic, complemented
193C53×#478C2211yescharacteristic, complemented
194C53×#467C2211yescharacteristic, complemented
195C53×#465C2211yescharacteristic, complemented
196C53×#464C2211yescharacteristic, complemented
197C53×#452C2211yescharacteristic, complemented
198C53×#450C2211yescharacteristic, complemented
199C4×SD16×C53C2211yescharacteristic, complemented
200C8×D4×C53C2211yescharacteristic, complemented
201C53×#416C2211yescharacteristic, complemented
202C2×#102×C53C2211yescharacteristic, complemented
203#13133263—24no—
204#13133263—42no—
205#13133262—24no—
206#13133262—42no—
207C2×#11719949C2311yescharacteristic
208C2×#11719949C2311yescharacteristic
209C2×#11719945—21no—
210C2×#11719945C2311yescharacteristic
211C2×#11719945C2311yescharacteristic
212C2×#11719945C2311yescharacteristic
213C2×#11719947—21no—
214C2×#11719947C2311yescharacteristic
215C2×#11719947C2311yescharacteristic
216C2×Q8×D53C2311yescharacteristic
217C22×D212—21no—
218C22×D212C2311yescharacteristic
219C22×C22⋊D53—21no—
220C22×C22⋊D53—21no—
221C22×C22⋊D53—21no—
222C2×D4×D53—21no—
223C2×D4×D53—21no—
224C2×D4×D53—21no—
225C2×D4×D53—21no—
226C2×D4×D53C2311yescharacteristic
227C2×D4×D53C2311yescharacteristic
228C2×D4×D53C2311yescharacteristic
229C22×C4×D53—21no—
230#13133249—42no—
231#13133246—42no—
232C2×Dic212C2311yescharacteristic
233C2×#11719925C2311yescharacteristic
234C2×#11719925C2311yescharacteristic
235C2×#11719913C2311yescharacteristic
236C2×#11719913C2311yescharacteristic
237C2×#11719923C2311yescharacteristic
238C2×#11719923C2311yescharacteristic
239C2×#11719924C2311yescharacteristic
240C2×#11719924C2311yescharacteristic
241SD16×D53—24no—
242#13133223—42no—
243#13133223—42no—
244C2×#11719917C2311yescharacteristic
245C2×#11719917C2311yescharacteristic
246C2×#11719912C2311yescharacteristic
247C2×#11719912C2311yescharacteristic
248C2×#11719912C2311yescharacteristic
249C2×#11719912C2311yescharacteristic
250C2×C8×D53C2311yescharacteristic
251C2×C8×D53C2311yescharacteristic
252C2×C8×D53C2311yescharacteristic
253C2×C8×D53C2311yescharacteristic
254#13133216—21no—
255#13133216—21no—
256#13133216D411yescharacteristic
257#13133216C2311yescharacteristic
258#13133216C2311yescharacteristic
259#13133215C2311yescharacteristic
260#13133213D411yescharacteristic
261#13133213C2311yescharacteristic
262#13133212—21no—
263#13133212—21no—
264#13133211—21no—
265#13133211—21no—
266#13133210—21no—
267#13133210—21no—
268#13133210—21no—
269#13133209C2311yescharacteristic
270#13133208—21no—
271#13133207—21no—
272#13133207—21no—
273#13133207—21no—
274#13133207—21no—
275#13133205C2311yescharacteristic
276#13133203—21no—
277#13133203—21no—
278#13133203—21no—
279#13133203—21no—
280#13133203D411yescharacteristic
281#13133203D411yescharacteristic
282#13133202—21no—
283#13133202—21no—
284#13133202—21no—
285#13133202—21no—
286#13133202—21no—
287#13133202—21no—
288#13133201—21no—
289#13133200—21no—
290#13133199—21no—
291#13133199—21no—
292#13133199—21no—
293#13133199—21no—
294#13133198—21no—
295#13133198—21no—
296#13133197—21no—
297#13133197C2311yescharacteristic
298#13133197C2311yescharacteristic
299#13133197C2311yescharacteristic
300#13133196—21no—
301#13133196C2311yescharacteristic
302#13133196C2311yescharacteristic
303#13133196C2311yescharacteristic
304#13133195—21no—
305#13133195—21no—
306#13133195—21no—
307#13133195—21no—
308#13133194—21no—
309#13133194—21no—
310#13133193C2311yescharacteristic
311#13133193C2311yescharacteristic
312#13133193C2311yescharacteristic
313#13133192—21no—
314#13133192D411yescharacteristic
315#13133192C2311yescharacteristic
316#13133191—21no—
317#13133191C2311yescharacteristic
318#13133190—21no—
319#13133190—21no—
320#13133190—21no—
321#13133190—21no—
322#13133190—21no—
323#13133190—21no—
324#13133190—21no—
325#13133190—21no—
326#13133190—21no—
327#13133190D411yescharacteristic
328#13133190D411yescharacteristic
329#13133189—21no—
330#13133189—21no—
331#13133189—21no—
332#13133188—21no—
333#13133188D411yescharacteristic
334#13133188C2311yescharacteristic
335#13133187—21no—
336#13133187—21no—
337#13133187—21no—
338#13133186—21no—
339#13133185—21no—
340#13133185—21no—
341#13133185—21no—
342Q8×Dic53C2311yescharacteristic
343C4×Dic106—21no—
344C4×Dic106—21no—
345C4×Dic106—21no—
346C4×Dic106C2311yescharacteristic
347#13133182—21no—
348#13133182—21no—
349#13133182—21no—
350#13133182—21no—
351#13133182—21no—
352#13133182C2311yescharacteristic
353C4×D212—21no—
354C4×D212C2311yescharacteristic
355C4×D212C2311yescharacteristic
356D4×Dic53C2311yescharacteristic
357#13133179—21no—
358#13133179C2311yescharacteristic
359C4×C22⋊D53—21no—
360C4×C22⋊D53—21no—
361C4×C22⋊D53—21no—
362C4×C22⋊D53—21no—
363C4×C22⋊D53C2311yescharacteristic
364C4×C22⋊D53C2311yescharacteristic
365#13133177—21no—
366#13133177—21no—
367#13133177—21no—
368#13133177—21no—
369#13133177—21no—
370#13133177—21no—
371#13133176C2311yescharacteristic
372#13133175—21no—
373#13133175C2311yescharacteristic
374#13133175C2311yescharacteristic
375#13133175C2311yescharacteristic
376#13133175C2311yescharacteristic
377#13133174—21no—
378#13133173—21no—
379C2×C4⋊Dic53C2311yescharacteristic
380C2×#11719919—21no—
381C4⋊C4×D53—21no—
382C4⋊C4×D53—21no—
383C4⋊C4×D53C2311yescharacteristic
384C4⋊C4×D53C2311yescharacteristic
385C4⋊C4×D53C2311yescharacteristic
386C4⋊C4×D53C2311yescharacteristic
387C2×#11719921—21no—
388C22⋊C4×D53—21no—
389C22⋊C4×D53—21no—
390C22⋊C4×D53—21no—
391C42×D53—21no—
392C42×D53C2311yescharacteristic
393#13133151C2311yescharacteristic
394#13133150C2311yescharacteristic
395#13133150C2311yescharacteristic
396#13133149C2311yescharacteristic
397#13133149C2311yescharacteristic
398#13133148C2311yescharacteristic
399#13133148C2311yescharacteristic
400#13133148C2311yescharacteristic
401#13133148C2311yescharacteristic
402C4⋊#88322C2311yescharacteristic
403#13133146C2311yescharacteristic
404#13133146C2311yescharacteristic
405#13133142C2311yescharacteristic
406#13133142C2311yescharacteristic
407#13133142C2311yescharacteristic
408#13133142C2311yescharacteristic
409#13133141C2311yescharacteristic
410#13133141C2311yescharacteristic
411#13133141C2311yescharacteristic
412#13133141C2311yescharacteristic
413#13133140C2311yescharacteristic
414#13133140C2311yescharacteristic
415#13133140C2311yescharacteristic
416#13133140C2311yescharacteristic
417#13133139C2311yescharacteristic
418#13133139C2311yescharacteristic
419#13133139C2311yescharacteristic
420#13133139C2311yescharacteristic
421#13133139C2311yescharacteristic
422#13133139C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133138C2311yescharacteristic
425#13133138C2311yescharacteristic
426#13133138C2311yescharacteristic
427#13133138C2311yescharacteristic
428#13133138C2311yescharacteristic
429#13133137C2311yescharacteristic
430#13133137C2311yescharacteristic
431#13133137C2311yescharacteristic
432#13133137C2311yescharacteristic
433#13133137C2311yescharacteristic
434#13133137C2311yescharacteristic
435C22⋊#88322C2311yescharacteristic
436C22⋊#88322C2311yescharacteristic
437#13133129C2311yescharacteristic
438#13133129C2311yescharacteristic
439#13133129C2311yescharacteristic
440#13133129C2311yescharacteristic
441C4×#88322C2311yescharacteristic
442C8×Dic53C2311yescharacteristic
443C8×Dic53C2311yescharacteristic
444C2×#41×C53C2311yescharacteristic
445C22×D4×C53C2311yescharacteristic
446C2×Q16×C53C2311yescharacteristic
447C2×SD16×C53C2311yescharacteristic
448C2×SD16×C53C2311yescharacteristic
449C22×C8×C53C2311yescharacteristic
450C22×C8×C53C2311yescharacteristic
451#126×C53—21no—
452#125×C53—21no—
453#125×C53C2311yescharacteristic
454#124×C53C2311yescharacteristic
455#123×C53—21no—
456#123×C53—21no—
457C22⋊Q8×C53C2311yescharacteristic
458C22⋊Q8×C53C2311yescharacteristic
459C22⋊Q8×C53C2311yescharacteristic
460#121×C53—21no—
461#121×C53C2311yescharacteristic
462#120×C53—21no—
463C4×Q8×C53C2311yescharacteristic
464C4×D4×C53C2311yescharacteristic
465C4×D4×C53C2311yescharacteristic
466#117×C53—21no—
467#117×C53C2311yescharacteristic
468C2×C4⋊C4×C53C2311yescharacteristic
469C2×C22⋊C4×C53—21no—
470#107×C53C2311yescharacteristic
471#106×C53C2311yescharacteristic
472#106×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
482#102×C53C2311yescharacteristic
483#102×C53C2311yescharacteristic
484C22⋊C8×C53C2311yescharacteristic
485C22⋊C8×C53C2311yescharacteristic
486C4×C8×C53C2311yescharacteristic
487C24×C53—21no—
488C23×D53—21no—
489C23×D53—21no—
490C23×D53—21no—
491C23×D53—21no—
492#41×C53—22no—
493#41×C53—41no—
494C2×Q8×C53C2411yescharacteristic
495C2×Q8×C53C2411yescharacteristic
496C2×D4×C53—22no—
497C2×D4×C53—21no—
498C2×D4×C53—21no—
499C2×D4×C53—21no—
500C2×D4×C53—41no—
501C2×D4×C53C2×D411yescharacteristic
502C2×D4×C53C2411yescharacteristic
503C2×D4×C53C2411yescharacteristic
504C22×C4×C53—21no—
505C22×C4×C53—21no—
506C22×C4×C53—21no—
507C22×C4×C53C2411yescharacteristic
508C22×C4×C53C2411yescharacteristic
509C2×C22⋊D53—21no—
510C2×C22⋊D53—21no—
511C2×C22⋊D53—21no—
512C2×C22⋊D53—21no—
513C2×C22⋊D53—21no—
514C2×C22⋊D53—21no—
515C2×C22⋊D53—21no—
516C2×C22⋊D53—21no—
517C2×C22⋊D53—21no—
518C2×C22⋊D53—21no—
519C2×C22⋊D53—44no—
520C2×C22⋊D53—44no—
521C2×C22⋊D53—82no—
522C2×C22⋊D53C2×D411yescharacteristic
523C2×C22⋊D53C2×D411yescharacteristic
524C2×C22⋊D53C2×D411yescharacteristic
525C2×C22⋊D53C2×D411yescharacteristic
526C2×C22⋊D53C2×D411yescharacteristic
527C2×C22⋊D53C2×D411yescharacteristic
528C22×Dic53—21no—
529C22×Dic53—21no—
530C22×Dic53—21no—
531C22×Dic53—21no—
532#11719949—22no—
533#11719949—22no—
534#11719949—22no—
535#11719949—41no—
536Q8×D53—22no—
537Q8×D53—22no—
538#11719947—22no—
539#11719947—22no—
540#11719947—22no—
541#11719947—41no—
542#11719947—44no—
543D4×D53—22no—
544D4×D53—22no—
545D4×D53—22no—
546D4×D53—41no—
547D4×D53—41no—
548D4×D53—44no—
549D4×D53—44no—
550D4×D53—44no—
551D4×D53—82no—
552D4×D53#4114yes—
553#11719945—22no—
554#11719945—22no—
555#11719945—22no—
556#11719945—22no—
557#11719945—22no—
558#11719945—41no—
559#11719945—44no—
560C2×D212—22no—
561C2×D212—21no—
562C2×D212—21no—
563C2×D212—21no—
564C2×D212—21no—
565C2×D212—41no—
566C2×D212—44no—
567C2×D212C2×D411yescharacteristic
568C2×D212C2×D411yescharacteristic
569C2×D212C2×D411yescharacteristic
570C2×D212C2411yescharacteristic
571C2×D212C2411yescharacteristic
572C2×C4×D53—21no—
573C2×C4×D53—21no—
574C2×C4×D53—21no—
575C2×C4×D53—21no—
576C2×C4×D53—21no—
577C2×C4×D53—21no—
578C2×C4×D53—21no—
579C2×C4×D53—21no—
580C2×C4×D53—21no—
581C2×C4×D53—21no—
582C2×C4×D53—82no—
583C2×C4×D53C2×D411yescharacteristic
584C2×C4×D53C2×D411yescharacteristic
585C2×C4×D53C2411yescharacteristic
586C2×C4×D53C2411yescharacteristic
587C2×C4×D53C2411yescharacteristic
588C2×Dic106—21no—
589C2×Dic106—21no—
590C2×Dic106—21no—
591C2×Dic106C2×D411yescharacteristic
592C2×Dic106C2×D411yescharacteristic
593C2×Dic106C2411yescharacteristic
594C2×Dic106C2411yescharacteristic
595Q16×C53—41no—
596SD16×C53—22no—
597SD16×C53—41no—
598C2×C8×C53—41no—
599C2×C8×C53—41no—
600C2×C8×C53C2411yescharacteristic
601C2×C8×C53C2411yescharacteristic
602C2×C8×C53C2411yescharacteristic
603C2×C8×C53C2411yescharacteristic
604C4⋊C4×C53—21no—
605C4⋊C4×C53—21no—
606C4⋊C4×C53—21no—
607C4⋊C4×C53—21no—
608C4⋊C4×C53—21no—
609C4⋊C4×C53—21no—
610C4⋊C4×C53—21no—
611C4⋊C4×C53C2×D411yescharacteristic
612C4⋊C4×C53C2411yescharacteristic
613C4⋊C4×C53C2411yescharacteristic
614C4⋊C4×C53C2411yescharacteristic
615C4⋊C4×C53C2411yescharacteristic
616C22⋊C4×C53—21no—
617C22⋊C4×C53—21no—
618C22⋊C4×C53—21no—
619C22⋊C4×C53—21no—
620C22⋊C4×C53—21no—
621C22⋊C4×C53—21no—
622C22⋊C4×C53—21no—
623C22⋊C4×C53—21no—
624C22⋊C4×C53C2×D411yescharacteristic
625C22⋊C4×C53C2×D411yescharacteristic
626C42×C53—21no—
627C42×C53—21no—
628C42×C53C2411yescharacteristic
629C22⋊Dic53—21no—
630C22⋊Dic53—21no—
631C22⋊Dic53—21no—
632C22⋊Dic53—21no—
633C22⋊Dic53—21no—
634C22⋊Dic53—21no—
635C22⋊Dic53C2×D411yescharacteristic
636C22⋊Dic53C2×D411yescharacteristic
637#11719925—41no—
638#11719925—41no—
639#11719924—22no—
640#11719924—41no—
641#11719923—22no—
642#11719923—41no—
643#11719921—21no—
644#11719921—21no—
645#11719921—21no—
646#11719921—21no—
647#11719921—21no—
648#11719921—21no—
649#11719921—21no—
650#11719921—21no—
651#11719921—21no—
652#11719921—21no—
653#11719921—21no—
654#11719921—21no—
655#11719921—21no—
656#11719921—21no—
657#11719921—21no—
658#11719921—21no—
659#11719921C2×D411yescharacteristic
660#11719921C2×D411yescharacteristic
661#11719921C2×D411yescharacteristic
662#11719921C2×D411yescharacteristic
663C4⋊Dic53—21no—
664C4⋊Dic53—21no—
665C4⋊Dic53—21no—
666C4⋊Dic53—21no—
667C4⋊Dic53—21no—
668C4⋊Dic53C2×D411yescharacteristic
669C4⋊Dic53C2411yescharacteristic
670C4⋊Dic53C2411yescharacteristic
671C4⋊Dic53C2411yescharacteristic
672C4⋊Dic53C2411yescharacteristic
673#11719919—21no—
674#11719919—21no—
675#11719919—21no—
676#11719919—21no—
677#11719919—21no—
678#11719919—21no—
679#11719919—21no—
680#11719919—21no—
681#11719919—21no—
682#11719919—21no—
683#11719919—21no—
684#11719919—21no—
685#11719919—21no—
686#11719919—21no—
687#11719919—21no—
688#11719919—21no—
689#11719919—21no—
690#11719919—21no—
691#11719919C2×D411yescharacteristic
692#11719919C2×D411yescharacteristic
693C4×Dic53—21no—
694C4×Dic53—21no—
695C4×Dic53—21no—
696C4×Dic53—21no—
697C4×Dic53—21no—
698C4×Dic53—21no—
699C4×Dic53—21no—
700C4×Dic53—21no—
701C4×Dic53C2×D411yescharacteristic
702C4×Dic53C2×D411yescharacteristic
703C4×Dic53C2411yescharacteristic
704#11719917—41no—
705#11719917—41no—
706C2×#88322C2411yescharacteristic
707C2×#88322C2411yescharacteristic
708C2×#88322C2411yescharacteristic
709C2×#88322C2411yescharacteristic
710Dic212—41no—
711#11719913—22no—
712#11719913—41no—
713#11719912—22no—
714#11719912—22no—
715#11719912—41no—
716#11719912—41no—
717C8×D53—22no—
718C8×D53—22no—
719C8×D53—41no—
720C8×D53—41no—
721C23×C53—21no—
722C23×C53—21no—
723C23×C53—42no—
724C23×C53—81no—
725C23×C53—81no—
726C23×C53C22×D411yescharacteristic
727C23×C53C22×D411yescharacteristic
728C22×D53—21no—
729C22×D53—24no—
730C22×D53—21no—
731C22×D53—42no—
732C22×D53—42no—
733C22×D53—42no—
734C22×D53—81no—
735C22×D53—81no—
736C22×D53—81no—
737C22×D53—81no—
738C22×D53—81no—
739C22×D53—81no—
740C22×D53—81no—
741C22×D53—81no—
742C22×D53C22×D411yescharacteristic
743C22×D53C22×D411yescharacteristic
744C22×D53C22×D411yescharacteristic
745Q8×C53—21no—
746Q8×C53—21no—
747Q8×C53—21no—
748Q8×C53—21no—
749D4×C53—21no—
750D4×C53—21no—
751D4×C53—21no—
752D4×C53—41no—
753D4×C53—42no—
754D4×C53—42no—
755D4×C53—81no—
756D4×C53C2×#4112yes—
757C2×C4×C53—21no—
758C2×C4×C53—21no—
759C2×C4×C53—21no—
760C2×C4×C53—21no—
761C2×C4×C53—21no—
762C2×C4×C53—21no—
763C2×C4×C53—21no—
764C2×C4×C53—21no—
765C2×C4×C53—21no—
766C2×C4×C53—21no—
767C2×C4×C53—42no—
768C2×C4×C53—81no—
769C2×C4×C53—81no—
770C2×C4×C53C22×D411yescharacteristic
771C2×C4×C53C22×D411yescharacteristic
772C2×C4×C53C22×D411yescharacteristic
773C2×C4×C53C22×D411yescharacteristic
774C2×C4×C53C2511yescharacteristic
775C22⋊D53—22no—
776C22⋊D53—22no—
777C22⋊D53—22no—
778C22⋊D53—22no—
779C22⋊D53—24no—
780C22⋊D53—22no—
781C22⋊D53—22no—
782C22⋊D53—42no—
783C22⋊D53—42no—
784C22⋊D53—42no—
785C22⋊D53—42no—
786C22⋊D53—42no—
787C22⋊D53—42no—
788C22⋊D53—81no—
789C22⋊D53—81no—
790C22⋊D53—81no—
791C2×Dic53—21no—
792C2×Dic53—21no—
793C2×Dic53—21no—
794C2×Dic53—21no—
795C2×Dic53—21no—
796C2×Dic53—21no—
797C2×Dic53—42no—
798C2×Dic53—42no—
799C2×Dic53—42no—
800C2×Dic53—81no—
801C2×Dic53C22×D411yescharacteristic
802C2×Dic53C22×D411yescharacteristic
803C2×Dic53C22×D411yescharacteristic
804C2×Dic53C22×D411yescharacteristic
805C2×Dic53C22×D411yescharacteristic
806D212—22no—
807D212—22no—
808D212—21no—
809D212—21no—
810D212—21no—
811D212—41no—
812D212—42no—
813D212—42no—
814D212—42no—
815D212—81no—
816D212C2×#4112yes—
817C4×D53—21no—
818C4×D53—21no—
819C4×D53—21no—
820C4×D53—21no—
821C4×D53—22no—
822C4×D53—41no—
823C4×D53—42no—
824C4×D53—42no—
825C4×D53—42no—
826C4×D53—42no—
827C4×D53—42no—
828C4×D53—81no—
829C4×D53—81no—
830C4×D53—81no—
831C4×D53—81no—
832C4×D53—81no—
833C4×D53C2×#4112yes—
834C4×D53H(5,𝔽2)12yes—
835Dic106—22no—
836Dic106—22no—
837Dic106—21no—
838Dic106—21no—
839Dic106—21no—
840Dic106—21no—
841Dic106—42no—
842Dic106—42no—
843Dic106—81no—
844C8×C53—21no—
845C8×C53—21no—
846C8×C53—21no—
847C8×C53—21no—
848#88322—21no—
849#88322—21no—
850#88322—21no—
851#88322—21no—
852#61212—531nomaximal, Sylow
853C22×C53—21no—
854C22×C53—21no—
855C22×C53—22no—
856C22×C53—21no—
857C22×C53—21no—
858C22×C53—21no—
859C22×C53—21no—
860C22×C53—41no—
861C22×C53—41no—
862C22×C53—41no—
863C22×C53—41no—
864C22×C53—41no—
865C22×C53—162no—
866C22×C53C23×D411yescharacteristic
867C2×D53—21no—
868C2×D53—21no—
869C2×D53—21no—
870C2×D53—21no—
871C2×D53—21no—
872C2×D53—21no—
873C2×D53—22no—
874C2×D53—21no—
875C2×D53—21no—
876C2×D53—41no—
877C2×D53—41no—
878C2×D53—41no—
879C2×D53—41no—
880C2×D53—41no—
881C2×D53—84no—
882C2×D53—162no—
883C2×D53—162no—
884C2×D53—162no—
885C2×D53#54612yes—
886C4×C53—21no—
887C4×C53—21no—
888C4×C53—21no—
889C4×C53—21no—
890C4×C53—41no—
891C4×C53—41no—
892C4×C53—41no—
893C4×C53—41no—
894C4×C53—41no—
895C4×C53—41no—
896C4×C53C22×#4111yescharacteristic
897C4×C53C2×H(5,𝔽2)11yescharacteristic
898Dic53—21no—
899Dic53—21no—
900Dic53—21no—
901Dic53—41no—
902Dic53—41no—
903Dic53—41no—
904Dic53—41no—
905Dic53—41no—
906Dic53—41no—
907Dic53#54612yes—
908Dic53#57712yes—
909#3507—531no—
910#3496—531no—
911#3331—531no—
912#3331—531no—
913#3324—531no—
914#3324—531no—
915#3323—531no—
916#3323—531no—
917#3323—531no—
918#3323—531no—
919#3302—531no—
920#3302—531no—
921#3296—531no—
922#3296—531no—
923#3296—531no—
924#3296D5311yescharacteristic, complemented
925#3295—531no—
926#3295—531no—
927#3131—531no—
928#3099—531no—
929#3099—531no—
930#3077—531no—
931#3063—531no—
932#3063—531no—
933#3037—531no—
934#3009—531no—
935#3009—531no—
936C2×C4×SD16—531no—
937#2931—531no—
938#2897—531no—
939#2897—531no—
940C2×C53—42no—
941C2×C53—41no—
942C2×C53—41no—
943C2×C53—81no—
944C2×C53C2×#54611yescharacteristic
945C2×C53C2×#57711yescharacteristic
946C2×C53#358411yescharacteristic
947D53—22no—
948D53—41no—
949D53—41no—
950D53—42no—
951D53—81no—
952C2×H(5,𝔽2)—531no—
953C2×H(5,𝔽2)—531no—
954C2×#137—531no—
955C2×#137—531no—
956C22×SD16—531no—
957C2×#131—531no—
958C2×#131—531no—
959#559—1061no—
960#557—1061no—
961#556—531no—
962#556—531no—
963#556—1061no—
964#556—1061no—
965#554—531no—
966#554—531no—
967#552—531no—
968#552—531no—
969#552—531no—
970#552C2×D5311yescharacteristic, complemented
971#547—531no—
972#547—531no—
973#547—1061no—
974#546—531no—
975#546—531no—
976#546—531no—
977#546—1061no—
978#546—1061no—
979#546C2×D5311yescharacteristic
980D42—531no—
981D42—531no—
982D42—1061no—
983#539—1061no—
984#539—1061no—
985#537—531no—
986#537—531no—
987#536—531no—
988#536—531no—
989#534—1061no—
990#534—1061no—
991#533—531no—
992#532—531no—
993#532—531no—
994#529—1061no—
995#529—1061no—
996C2×#121—1061no—
997C2×#121—1061no—
998#520—531no—
999#520—531no—
1000C2×C4×Q8—531no—
1001C2×C4×D4—531no—
1002#488—531no—
1003#488—531no—
1004#488—531no—
1005#488C2×D5311yescharacteristic, complemented
1006#487—531no—
1007#487—531no—
1008#486—531no—
1009#486—531no—
1010#485—531no—
1011#485—531no—
1012#485—531no—
1013#485—531no—
1014#483—531no—
1015#483—531no—
1016#483—531no—
1017#483C2×D5311yescharacteristic, complemented
1018#482—531no—
1019#482—531no—
1020#482—531no—
1021#482C2×D5311yescharacteristic, complemented
1022#481—531no—
1023#481—531no—
1024#481—531no—
1025#481—531no—
1026#478—531no—
1027#478—531no—
1028#478—531no—
1029#478C2×D5311yescharacteristic, complemented
1030#476—531no—
1031#476—531no—
1032#474—531no—
1033#474—531no—
1034#470—531no—
1035#470—531no—
1036#470—531no—
1037#470—531no—
1038#468—531no—
1039#468—531no—
1040#468—531no—
1041#468—531no—
1042#467—531no—
1043#467—531no—
1044#467—531no—
1045#467C2×D5311yescharacteristic, complemented
1046#465—531no—
1047#465—531no—
1048#465—531no—
1049#465C2×D5311yescharacteristic, complemented
1050#464—531no—
1051#464—531no—
1052#464—531no—
1053#464C2×D5311yescharacteristic, complemented
1054#462—531no—
1055#462—531no—
1056#460—531no—
1057#460—531no—
1058#452—531no—
1059#452—531no—
1060#452—531no—
1061#452—531no—
1062#452—531no—
1063#452—531no—
1064#452—531no—
1065#452C2×D5311yescharacteristic, complemented
1066#450—531no—
1067#450—531no—
1068#450—531no—
1069#450—531no—
1070#450—531no—
1071#450—531no—
1072#450—531no—
1073#450C2×D5311yescharacteristic, complemented
1074C4×SD16—531no—
1075C4×SD16—531no—
1076C4×SD16—531no—
1077C4×SD16—531no—
1078C4×SD16—531no—
1079C4×SD16—531no—
1080C4×SD16—531no—
1081C4×SD16C2×D5311yescharacteristic, complemented
1082#436—531no—
1083#436—531no—
1084#436—531no—
1085#436—531no—
1086C8×D4—531no—
1087C8×D4—531no—
1088C8×D4—531no—
1089C8×D4C2×D5311yescharacteristic, complemented
1090#428—531no—
1091#428—531no—
1092C2×#106—531no—
1093#423—531no—
1094#418—531no—
1095#418—531no—
1096#418—531no—
1097#418—531no—
1098#418—531no—
1099#418—531no—
1100#417—531no—
1101#417—531no—
1102#417—531no—
1103#417—531no—
1104#417—531no—
1105#417—531no—
1106#416—531no—
1107#416—531no—
1108#416—531no—
1109#416—531no—
1110#416—531no—
1111#416—531no—
1112#416—531no—
1113#416C2×D5311yescharacteristic, complemented
1114C2×#103—531no—
1115C2×#102—531no—
1116C2×#102—531no—
1117C2×#102—531no—
1118C2×#102—531no—
1119C2×#102C2×D5311yescharacteristic, complemented
1120#408—531no—
1121#408—531no—
1122C2×C4×C8—531no—
1123C53#6121211yescharacteristic, complemented, Sylow
1124H(5,𝔽2)—1064no—
1125H(5,𝔽2)—1064no—
1126H(5,𝔽2)—2122no—
1127H(5,𝔽2)—2122no—
1128C2×#41—531no—
1129C2×#41—531no—
1130C2×#41—531no—
1131C2×#41—531no—
1132C2×#41—531no—
1133C2×#41—531no—
1134C2×#41—531no—
1135C2×#41—1061no—
1136C2×#41—1061no—
1137C2×#41C22×D5311yescharacteristic
1138C22×Q8—531no—
1139C22×D4—531no—
1140C22×D4—531no—
1141C22×D4—531no—
1142C22×D4—531no—
1143C22×D4—1061no—
1144C22×D4—1061no—
1145C22×D4—1061no—
1146C22×D4—1061no—
1147C22×D4—1061no—
1148C22×D4—1061no—
1149C22×D4—1061no—
1150C22×D4—1061no—
1151C22×D4C22×D5311yescharacteristic
1152C23×C4—1061no—
1153#137—2122no—
1154#137—2122no—
1155C2×Q16—531no—
1156C2×Q16—531no—
1157C2×Q16—531no—
1158C2×Q16C22×D5311yescharacteristic
1159C2×SD16—531no—
1160C2×SD16—531no—
1161C2×SD16—531no—
1162C2×SD16—531no—
1163C2×SD16—531no—
1164C2×SD16—531no—
1165C2×SD16—1064no—
1166C2×SD16C22×D5311yescharacteristic
1167C2×SD16C22×D5311yescharacteristic
1168#131—2122no—
1169#131—2122no—
1170C2×M16—531no—
1171C2×M16—531no—
1172C2×M16—531no—
1173C2×M16—531no—
1174C2×M16—531no—
1175C2×M16—531no—
1176C22×C8—531no—
1177C22×C8—531no—
1178C22×C8—531no—
1179C22×C8—531no—
1180C22×C8C22×D5311yescharacteristic
1181C22×C8C22×D5311yescharacteristic
1182C4⋊Q8—531no—
1183C4⋊Q8—531no—
1184C4⋊Q8—531no—
1185C4⋊Q8—531no—
1186C4⋊Q8—1061no—
1187C4⋊Q8—1061no—
1188#127—531no—
1189#127—531no—
1190#126—21no—
1191#126—1061no—
1192#126—1061no—
1193#126—1061no—
1194#126—1061no—
1195#126—1061no—
1196#126—1061no—
1197#126—1061no—
1198#125—21no—
1199#125—531no—
1200#125—1061no—
1201#125—1061no—
1202#125—1061no—
1203#125—1061no—
1204#125—1061no—
1205#125C22×D5311yescharacteristic
1206#124—531no—
1207#124—531no—
1208#124—531no—
1209#124—1061no—
1210#124—1061no—
1211#124—1061no—
1212#124—1061no—
1213#124C22×D5311yescharacteristic
1214#123—21no—
1215#123—21no—
1216#123—1061no—
1217#123—1061no—
1218#123—1061no—
1219#123—1061no—
1220#123—1061no—
1221#123—1061no—
1222#123—1061no—
1223#123—1061no—
1224#123—1061no—
1225#123—1061no—
1226#123—1061no—
1227#123—1061no—
1228#123—1061no—
1229#123—1061no—
1230C22⋊Q8—531no—
1231C22⋊Q8—531no—
1232C22⋊Q8—531no—
1233C22⋊Q8—531no—
1234C22⋊Q8—531no—
1235C22⋊Q8—531no—
1236C22⋊Q8—531no—
1237C22⋊Q8—531no—
1238C22⋊Q8—531no—
1239C22⋊Q8—1061no—
1240C22⋊Q8—1061no—
1241C22⋊Q8—1061no—
1242C22⋊Q8—1061no—
1243C22⋊Q8—1061no—
1244C22⋊Q8—1061no—
1245C22⋊Q8—1061no—
1246C22⋊Q8—1061no—
1247C22⋊Q8C22×D5311yescharacteristic
1248C22⋊Q8C22×D5311yescharacteristic
1249C22⋊Q8C22×D5311yescharacteristic
1250#121—21no—
1251#121—531no—
1252#121—531no—
1253#121—531no—
1254#121—531no—
1255#121—531no—
1256#121—531no—
1257#121—531no—
1258#121—1061no—
1259#121—1061no—
1260#121—1061no—
1261#121—1061no—
1262#121—1061no—
1263#121—1061no—
1264#121—1061no—
1265#121—1061no—
1266#121—1061no—
1267#121—1061no—
1268#121—1061no—
1269#121—1061no—
1270#121—1061no—
1271#121—1061no—
1272#121—1061no—
1273#121C22×D5311yescharacteristic
1274#120—21no—
1275#120—1061no—
1276#120—1061no—
1277#120—1061no—
1278#120—1061no—
1279#120—1061no—
1280#120—1061no—
1281#120—1061no—
1282C4×Q8—531no—
1283C4×Q8—531no—
1284C4×Q8—531no—
1285C4×Q8—1061no—
1286C4×Q8—1061no—
1287C4×Q8—1061no—
1288C4×Q8—1061no—
1289C4×Q8—1061no—
1290C4×Q8—1061no—
1291C4×Q8—1061no—
1292C4×Q8—1061no—
1293C4×Q8C22×D5311yescharacteristic
1294C4×D4—531no—
1295C4×D4—531no—
1296C4×D4—531no—
1297C4×D4—531no—
1298C4×D4—531no—
1299C4×D4—531no—
1300C4×D4—1061no—
1301C4×D4—1061no—
1302C4×D4—1061no—
1303C4×D4—1061no—
1304C4×D4—1061no—
1305C4×D4—1061no—
1306C4×D4—1061no—
1307C4×D4—1061no—
1308C4×D4—1061no—
1309C4×D4—1061no—
1310C4×D4—1061no—
1311C4×D4—1061no—
1312C4×D4C22×D5311yescharacteristic
1313C4×D4C22×D5311yescharacteristic
1314#117—21no—
1315#117—531no—
1316#117—531no—
1317#117—531no—
1318#117—531no—
1319#117—531no—
1320#117—1061no—
1321#117—1061no—
1322#117—1061no—
1323#117C22×D5311yescharacteristic
1324C2×C4⋊C4—531no—
1325C2×C4⋊C4—531no—
1326C2×C4⋊C4—531no—
1327C2×C4⋊C4—531no—
1328C2×C4⋊C4—531no—
1329C2×C4⋊C4—1061no—
1330C2×C4⋊C4—1061no—
1331C2×C4⋊C4—1061no—
1332C2×C4⋊C4C22×D5311yescharacteristic
1333C2×C22⋊C4—21no—
1334C2×C22⋊C4—1061no—
1335C2×C22⋊C4—1061no—
1336C2×C22⋊C4—1061no—
1337C2×C22⋊C4—1061no—
1338C2×C42—531no—
1339C2×C42—1061no—
1340#107—531no—
1341#107—531no—
1342#107—531no—
1343#107C22×D5311yescharacteristic
1344#106—531no—
1345#106—531no—
1346#106—531no—
1347#106—531no—
1348#106—531no—
1349#106—531no—
1350#106C22×D5311yescharacteristic
1351#106C22×D5311yescharacteristic
1352C4⋊C8—531no—
1353C4⋊C8—531no—
1354C4⋊C8—531no—
1355C4⋊C8C22×D5311yescharacteristic
1356#103—531no—
1357#103—531no—
1358#103—531no—
1359#103—531no—
1360#103—531no—
1361#103—531no—
1362#103—531no—
1363#103—531no—
1364#103—531no—
1365#103—531no—
1366#103—531no—
1367#103—531no—
1368#103C22×D5311yescharacteristic
1369#103C22×D5311yescharacteristic
1370#103C22×D5311yescharacteristic
1371#103C22×D5311yescharacteristic
1372#102—531no—
1373#102—531no—
1374#102—531no—
1375#102—531no—
1376#102—531no—
1377#102—531no—
1378#102—531no—
1379#102—531no—
1380#102—531no—
1381#102—531no—
1382#102—531no—
1383#102—531no—
1384#102—531no—
1385#102—531no—
1386#102—531no—
1387#102—531no—
1388#102—531no—
1389#102—531no—
1390#102C22×D5311yescharacteristic
1391#102C22×D5311yescharacteristic
1392#102C22×D5311yescharacteristic
1393#102C22×D5311yescharacteristic
1394#102C22×D5311yescharacteristic
1395#102C22×D5311yescharacteristic
1396C22⋊C8—531no—
1397C22⋊C8—531no—
1398C22⋊C8—531no—
1399C22⋊C8—531no—
1400C22⋊C8—531no—
1401C22⋊C8—531no—
1402C22⋊C8C22×D5311yescharacteristic
1403C22⋊C8C22×D5311yescharacteristic
1404C4×C8—531no—
1405C4×C8—531no—
1406C4×C8—531no—
1407C4×C8C22×D5311yescharacteristic
1408C24—21no—
1409C24—1061no—
1410C24—1061no—
1411C24—1061no—
1412C24—1061no—
1413#41—22no—
1414#41—41no—
1415#41—1062no—
1416#41—1062no—
1417#41—1062no—
1418#41—1062no—
1419#41—1062no—
1420#41—1062no—
1421#41—1062no—
1422#41—1062no—
1423#41—1062no—
1424#41—1062no—
1425#41—1062no—
1426#41—2121no—
1427#41—2124no—
1428#41—2121no—
1429#41—2121no—
1430#41—2124no—
1431C2×Q8—531no—
1432C2×Q8—531no—
1433C2×Q8—531no—
1434C2×Q8—531no—
1435C2×Q8—1061no—
1436C2×Q8—1061no—
1437C2×Q8—1061no—
1438C2×Q8—1062no—
1439C2×Q8—1062no—
1440C2×Q8C23×D5311yescharacteristic
1441C2×Q8C23×D5311yescharacteristic
1442C2×D4—22no—
1443C2×D4—21no—
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—41no—
1447C2×D4—534no—
1448C2×D4—531no—
1449C2×D4—531no—
1450C2×D4—531no—
1451C2×D4—531no—
1452C2×D4—531no—
1453C2×D4—531no—
1454C2×D4—531no—
1455C2×D4—531no—
1456C2×D4—531no—
1457C2×D4—531no—
1458C2×D4—531no—
1459C2×D4—1062no—
1460C2×D4—1061no—
1461C2×D4—1061no—
1462C2×D4—1061no—
1463C2×D4—1062no—
1464C2×D4—1061no—
1465C2×D4—1061no—
1466C2×D4—1061no—
1467C2×D4—1061no—
1468C2×D4—1061no—
1469C2×D4—1062no—
1470C2×D4—1062no—
1471C2×D4—1061no—
1472C2×D4—1061no—
1473C2×D4—1061no—
1474C2×D4—1061no—
1475C2×D4—1061no—
1476C2×D4—1061no—
1477C2×D4—4242no—
1478C2×D4—4242no—
1479C2×D4—2121no—
1480C2×D4—2124no—
1481C2×D4—2121no—
1482C2×D4—2121no—
1483C2×D4—2124no—
1484C2×D4—2124no—
1485C2×D4—2124no—
1486C2×D4—2124no—
1487C2×D4—2124no—
1488C2×D4D4×D5311yescharacteristic
1489C2×D4C23×D5311yescharacteristic
1490C2×D4C23×D5311yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—531no—
1495C22×C4—531no—
1496C22×C4—531no—
1497C22×C4—531no—
1498C22×C4—531no—
1499C22×C4—1061no—
1500C22×C4—1061no—
1501C22×C4—1061no—
1502C22×C4—1061no—
1503C22×C4—1061no—
1504C22×C4—1061no—
1505C22×C4—1061no—
1506C22×C4—1061no—
1507C22×C4—1061no—
1508C22×C4—1061no—
1509C22×C4—1061no—
1510C22×C4—1061no—
1511C22×C4—1061no—
1512C22×C4—1061no—
1513C22×C4—4242no—
1514C22×C4C23×D5311yescharacteristic
1515C22×C4C23×D5311yescharacteristic
1516Q16—41no—
1517Q16—2121no—
1518Q16—2121no—
1519Q16—2121no—
1520SD16—22no—
1521SD16—41no—
1522SD16—1062no—
1523SD16—1062no—
1524SD16—1062no—
1525SD16—2121no—
1526SD16—2121no—
1527SD16—2121no—
1528M16—1062no—
1529M16—1062no—
1530M16—2121no—
1531M16—2121no—
1532M16—2121no—
1533M16—2121no—
1534C2×C8—41no—
1535C2×C8—41no—
1536C2×C8—531no—
1537C2×C8—531no—
1538C2×C8—531no—
1539C2×C8—531no—
1540C2×C8—1062no—
1541C2×C8—1062no—
1542C2×C8—2121no—
1543C2×C8—2121no—
1544C2×C8C23×D5311yescharacteristic
1545C2×C8C23×D5311yescharacteristic
1546C2×C8C23×D5311yescharacteristic
1547C2×C8C23×D5311yescharacteristic
1548C4⋊C4—21no—
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—531no—
1556C4⋊C4—531no—
1557C4⋊C4—531no—
1558C4⋊C4—531no—
1559C4⋊C4—531no—
1560C4⋊C4—531no—
1561C4⋊C4—531no—
1562C4⋊C4—1061no—
1563C4⋊C4—1061no—
1564C4⋊C4—1061no—
1565C4⋊C4—1061no—
1566C4⋊C4—1061no—
1567C4⋊C4—1061no—
1568C4⋊C4—1061no—
1569C4⋊C4—1061no—
1570C4⋊C4—1061no—
1571C4⋊C4—1061no—
1572C4⋊C4—1061no—
1573C4⋊C4—1061no—
1574C4⋊C4—1061no—
1575C4⋊C4—1061no—
1576C4⋊C4—1061no—
1577C4⋊C4—1061no—
1578C4⋊C4—1061no—
1579C4⋊C4—1061no—
1580C4⋊C4—1061no—
1581C4⋊C4—1061no—
1582C4⋊C4—1061no—
1583C4⋊C4—1061no—
1584C4⋊C4—1061no—
1585C4⋊C4D4×D5311yescharacteristic
1586C4⋊C4C23×D5311yescharacteristic
1587C4⋊C4C23×D5311yescharacteristic
1588C4⋊C4C23×D5311yescharacteristic
1589C4⋊C4C23×D5311yescharacteristic
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—531no—
1599C22⋊C4—531no—
1600C22⋊C4—531no—
1601C22⋊C4—531no—
1602C22⋊C4—531no—
1603C22⋊C4—531no—
1604C22⋊C4—1061no—
1605C22⋊C4—1061no—
1606C22⋊C4—1061no—
1607C22⋊C4—1061no—
1608C22⋊C4—1061no—
1609C22⋊C4—1061no—
1610C22⋊C4—1061no—
1611C22⋊C4—1061no—
1612C22⋊C4—1061no—
1613C22⋊C4—1061no—
1614C22⋊C4—1061no—
1615C22⋊C4—1061no—
1616C22⋊C4—1061no—
1617C22⋊C4—1061no—
1618C22⋊C4—1061no—
1619C22⋊C4—1061no—
1620C22⋊C4—1061no—
1621C22⋊C4—1061no—
1622C22⋊C4—1061no—
1623C22⋊C4—1061no—
1624C22⋊C4—1061no—
1625C22⋊C4—1061no—
1626C22⋊C4D4×D5311yescharacteristic
1627C22⋊C4D4×D5311yescharacteristic
1628C42—21no—
1629C42—21no—
1630C42—531no—
1631C42—531no—
1632C42—531no—
1633C42—1061no—
1634C42—1061no—
1635C42—1061no—
1636C42—1061no—
1637C42—1061no—
1638C42—1061no—
1639C42—1061no—
1640C42—1061no—
1641C42C23×D5311yescharacteristic
1642C23—21no—
1643C23—21no—
1644C23—42no—
1645C23—81no—
1646C23—81no—
1647C23—531no—
1648C23—531no—
1649C23—531no—
1650C23—1064no—
1651C23—1061no—
1652C23—1061no—
1653C23—4241no—
1654C23—4241no—
1655C23—4241no—
1656C23—4241no—
1657C23—4241no—
1658C23—4241no—
1659C23—4241no—
1660C23—4241no—
1661C23—2122no—
1662C23—2122no—
1663C23—2122no—
1664C23C2×D4×D5311yescharacteristic
1665C23C2×D4×D5311yescharacteristic
1666Q8—21no—
1667Q8—21no—
1668Q8—21no—
1669Q8—21no—
1670Q8—1062no—
1671Q8—1062no—
1672Q8—1061no—
1673Q8—1061no—
1674Q8—1061no—
1675Q8—1061no—
1676Q8—4241no—
1677Q8—2122no—
1678Q8—2122no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—41no—
1683D4—42no—
1684D4—42no—
1685D4—81no—
1686D4—532no—
1687D4—1062no—
1688D4—1062no—
1689D4—1064no—
1690D4—1062no—
1691D4—1062no—
1692D4—1062no—
1693D4—1062no—
1694D4—1062no—
1695D4—1062no—
1696D4—1061no—
1697D4—1061no—
1698D4—1061no—
1699D4—4241no—
1700D4—4241no—
1701D4—4241no—
1702D4—4241no—
1703D4—2121no—
1704D4—2122no—
1705D4—2122no—
1706D4—2122no—
1707D4—2122no—
1708D4—2122no—
1709D4—2122no—
1710D4—2122no—
1711D4—2122no—
1712D4—2122no—
1713D4#41×D5312yes—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—42no—
1725C2×C4—81no—
1726C2×C4—81no—
1727C2×C4—531no—
1728C2×C4—531no—
1729C2×C4—532no—
1730C2×C4—532no—
1731C2×C4—531no—
1732C2×C4—531no—
1733C2×C4—531no—
1734C2×C4—1062no—
1735C2×C4—1061no—
1736C2×C4—1061no—
1737C2×C4—1061no—
1738C2×C4—1061no—
1739C2×C4—1061no—
1740C2×C4—1061no—
1741C2×C4—1061no—
1742C2×C4—1061no—
1743C2×C4—1061no—
1744C2×C4—1061no—
1745C2×C4—4241no—
1746C2×C4—4241no—
1747C2×C4—4241no—
1748C2×C4—4241no—
1749C2×C4—4241no—
1750C2×C4—4241no—
1751C2×C4—2121no—
1752C2×C4—2122no—
1753C2×C4—2122no—
1754C2×C4—2122no—
1755C2×C4—2122no—
1756C2×C4—2122no—
1757C2×C4—2122no—
1758C2×C4—2122no—
1759C2×C4—2122no—
1760C2×C4C2×D4×D5311yescharacteristic
1761C2×C4C2×D4×D5311yescharacteristic
1762C2×C4C2×D4×D5311yescharacteristic
1763C2×C4C2×D4×D5311yescharacteristic
1764C2×C4C24×D5311yescharacteristic
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—21no—
1769C8—1061no—
1770C8—1061no—
1771C8—1061no—
1772C8—1061no—
1773C22—21no—
1774C22—21no—
1775C22—22no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—162no—
1786C22—532no—
1787C22—8482no—
1788C22—8482no—
1789C22—8482no—
1790C22—1061no—
1791C22—1061no—
1792C22—1061no—
1793C22—1061no—
1794C22—1062no—
1795C22—1061no—
1796C22—1061no—
1797C22—1061no—
1798C22—1061no—
1799C22—4244no—
1800C22—2121no—
1801C22—2121no—
1802C22—2121no—
1803C22—2121no—
1804C22—2121no—
1805C22C22×D4×D5311yescharacteristic
1806C4—21no—
1807C4—21no—
1808C4—21no—
1809C4—21no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—532no—
1817C4—532no—
1818C4—1061no—
1819C4—1061no—
1820C4—1061no—
1821C4—2121no—
1822C4—2121no—
1823C4—2121no—
1824C4—2121no—
1825C4—2121no—
1826C4—2121no—
1827C4C2×#41×D5311yescharacteristic
1828C4H(5,𝔽2)×D5311yescharacteristic
1829C2—41no—
1830C2—41no—
1831C2—42no—
1832C2—81no—
1833C2—1062no—
1834C2—4241no—
1835C2—2121no—
1836C2—2121no—
1837C2—2122no—
1838C2#546×D5311yescharacteristic
1839C2#577×D5311yescharacteristic
1840C2#2028948411yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3296C2
socleC22×C53C23×D4
prime radical#20288475C2
hypercenter#3296D53
hypocenterC53#61212
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3296

Complements

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

NH ≅ G/Ntype
1. #20288574C2semidirect
3. #20287029C2semidirect
4. #20287024C2semidirect
5. #20286944C2semidirect
6. #20286939C2semidirect
7. #20286938C2semidirect
8. #20286931C2semidirect
9. #20286928C2semidirect
10. #20286925C2semidirect
11. #20286628C2semidirect
12. #20286627C2semidirect
13. #20286555C2semidirect
14. #20286552C2semidirect
15. #20286549C2semidirect
16. #20286535C2semidirect
17. #20286534C2semidirect
18. #20285036C2semidirect
19. #20284707C2semidirect
20. #20284699C2semidirect
21. #20284510C2semidirect
22. #20284405C2semidirect
23. #20284399C2semidirect
24. #20284185C2semidirect
25. #20283989C2semidirect
26. #20283987C2semidirect
27. C4×SD16×D53C2semidirect
28. #20283422C2semidirect
29. #20283237C2semidirect
30. #20283236C2semidirect
31. C53×#3296C2semidirect
34. C2×#13133249C22semidirect
35. C2×#13133246C22semidirect
37. C2×#13133223C22semidirect
38. C2×#13133223C22semidirect
41. #16811344C22semidirect
43. #16811341C22semidirect
45. #16811331C22semidirect
46. #16811328C22semidirect
47. #16811314C22semidirect
48. #16811313C22semidirect
49. #16811311C22semidirect
65. #16811196C22semidirect
66. #16811196C22semidirect
69. #16811179C22semidirect
76. #16811104C22semidirect
77. #16811103C22semidirect
78. C4×Q8×D53C22semidirect
80. #16810980C22semidirect
81. #16810978C22semidirect
82. #16810977C22semidirect
83. #16810972C22semidirect
84. #16810972C22semidirect
85. #16810968C22semidirect
86. #16810968C22semidirect
87. #16810966C22semidirect
88. #16810964C22semidirect
89. #16810963C22semidirect
90. #16810961C22semidirect
91. #16810955C22semidirect
92. #16810954C22semidirect
93. #16810952C22semidirect
94. #16810949C22semidirect
95. #16810948C22semidirect
96. #16810946C22semidirect
97. #16810943C22semidirect
98. #16810941C22semidirect
99. #16810940C22semidirect
100. #16810939C22semidirect
101. #16810924C22semidirect
102. #16810923C22semidirect
103. #16810920C22semidirect
104. #16810912C22semidirect
105. #16810911C22semidirect
106. #16810902C22semidirect
107. #16810901C22semidirect
108. #16810882C22semidirect
109. #16810879C22semidirect
110. #16810879C22semidirect
111. #16810878C22semidirect
112. #16810871C22semidirect
113. #16810870C22semidirect
114. #16810867C22semidirect
115. #16810866C22semidirect
116. #16810864C22semidirect
117. #16810863C22semidirect
118. #16810863C22semidirect
119. #16810855C22semidirect
120. #16810852C22semidirect
121. #16810851C22semidirect
122. #16810846C22semidirect
123. #16810845C22semidirect
124. #16810842C22semidirect
125. #16810832C22semidirect
126. #16810831C22semidirect
127. #16810822C22semidirect
128. #16810821C22semidirect
129. #16810788C22semidirect
130. #16810787C22semidirect
131. #16810786C22semidirect
132. #16810785C22semidirect
133. #16810784C22semidirect
134. #16810783C22semidirect
135. #16810782C22semidirect
136. #16810776C22semidirect
137. #16810775C22semidirect
138. #16810775C22semidirect
139. #16810774C22semidirect
140. #16810773C22semidirect
141. #16810772C22semidirect
142. #16810772C22semidirect
143. #16810714C22semidirect
144. C4×#11719913C22semidirect
145. SD16×Dic53C22semidirect
146. C4×#11719924C22semidirect
147. #16810710C22semidirect
148. C4×#11719923C22semidirect
149. #16810708C22semidirect
150. #16810701C22semidirect
151. #16810700C22semidirect
152. #16810698C22semidirect
153. #16810698C22semidirect
154. C8×D212C22semidirect
155. C8×C22⋊D53C22semidirect
156. C8×C22⋊D53C22semidirect
157. #16810664C22semidirect
158. #16810662C22semidirect
159. #106×D53C22semidirect
160. #16810645C22semidirect
161. #16810628C22semidirect
162. #16810627C22semidirect
165. #16810626C22semidirect
166. #16810626C22semidirect
167. #16810624C22semidirect
168. #16810623C22semidirect
169. #16810623C22semidirect
170. #16810622C22semidirect
171. #16810621C22semidirect
172. #16810621C22semidirect
173. #16810620C22semidirect
174. #16810618C22semidirect
175. #16810618C22semidirect
176. #16810618C22semidirect
177. #16810616C22semidirect
178. #16810616C22semidirect
179. #16810616C22semidirect
180. #103×D53C22semidirect
181. C2×#13133139C22semidirect
183. #102×D53C22semidirect
184. #102×D53C22semidirect
185. #16810588C22semidirect
186. #16810588C22semidirect
187. C4×C8×D53C22semidirect
188. C53×#552C22semidirect
190. C53×#488C22semidirect
191. C53×#483C22semidirect
192. C53×#482C22semidirect
193. C53×#478C22semidirect
194. C53×#467C22semidirect
195. C53×#465C22semidirect
196. C53×#464C22semidirect
197. C53×#452C22semidirect
198. C53×#450C22semidirect
199. C4×SD16×C53C22semidirect
200. C8×D4×C53C22semidirect
201. C53×#416C22semidirect
202. C2×#102×C53C22semidirect
924. #3296D53semidirect
970. #552C2×D53semidirect
1005. #488C2×D53semidirect
1017. #483C2×D53semidirect
1021. #482C2×D53semidirect
1029. #478C2×D53semidirect
1045. #467C2×D53semidirect
1049. #465C2×D53semidirect
1053. #464C2×D53semidirect
1065. #452C2×D53semidirect
1073. #450C2×D53semidirect
1081. C4×SD16C2×D53semidirect
1089. C8×D4C2×D53semidirect
1113. #416C2×D53semidirect
1119. C2×#102C2×D53semidirect
1123. C53#61212semidirect

Maximal subgroups

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

subgroupindex
#202885742
#202884752
#202870292
#202870242
#202869442
#202869392
#202869382
#202869312
#202869282
#202869252
#202866282
#202866272
#202865552
#202865522
#202865492
#202865352
#202865342
#202850362
#202847072
#202846992
#202845102
#202844052
#202843992
#202841852
#202839892
#202839872
C4×SD16×D532
#202834222
#202832372
#202832362
C53×#32962
#6121253