Finite Group Databasebeta

← #28254871

Subgroups — #28254871

Order 13568.

2322 conjugacy classes of subgroups.

The subgroup lattice has 2010 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288043C211yesmaximal, characteristic, complemented
2#535×D53C211yesmaximal, characteristic, complemented
3#20285586C211yesmaximal, characteristic, complemented
4#20285584C211yesmaximal, characteristic, complemented
5#20285583C211yesmaximal, characteristic, complemented
6#20285581C211yesmaximal, characteristic, complemented
7#20285579C211yesmaximal, characteristic, complemented
8#20285578C211yesmaximal, characteristic, complemented
9#20285577C211yesmaximal, characteristic, complemented
10#20285575C211yesmaximal, characteristic, complemented
11#20285574C211yesmaximal, characteristic, complemented
12#20285572C211yesmaximal, characteristic, complemented
13#20285569C211yesmaximal, characteristic, complemented
14#20285567C211yesmaximal, characteristic, complemented
15#20285566C211yesmaximal, characteristic, complemented
16#20285564C211yesmaximal, characteristic, complemented
17#20285561C211yesmaximal, characteristic, complemented
18#20284652C211yesmaximal, characteristic, complemented
19#20284650C211yesmaximal, characteristic, complemented
20#20284647C211yesmaximal, characteristic, complemented
21#20284643C211yesmaximal, characteristic, complemented
22#20284333C211yesmaximal, characteristic, complemented
23#20284331C211yesmaximal, characteristic, complemented
24#20284329C211yesmaximal, characteristic, complemented
25#20284327C211yesmaximal, characteristic, complemented
26#20283964C211yesmaximal, characteristic, complemented
27#20283964C211yesmaximal, characteristic, complemented
28#20283943C211yesmaximal, characteristic, complemented
29#20283939C211yesmaximal, characteristic, complemented
30#20283157C211yesmaximal, characteristic, complemented
31C53×#3198C211yesmaximal, characteristic, complemented
32C2×#41×D53C2211yescharacteristic
33C2×#41×D53C2211yescharacteristic, complemented
34C22×D4×D53C2211yescharacteristic, complemented
35C2×#13133244C2211yescharacteristic
36C2×#13133244C2211yescharacteristic
37C2×#13133241C2211yescharacteristic
38C2×#13133241C2211yescharacteristic
39C22×#11719912C2211yescharacteristic, complemented
40C2×M16×D53C2211yescharacteristic, complemented
41#16811204C2211yescharacteristic, complemented
42#16811201C2211yescharacteristic, complemented
43#16811201C2211yescharacteristic, complemented
44#16811196—21no—
45#16811196C2211yescharacteristic, complemented
46#16811196C2211yescharacteristic, complemented
47#16811192C2211yescharacteristic
48#16811191—21no—
49#16811190C2211yescharacteristic
50#16811189—21no—
51#16811189C2211yescharacteristic
52#16811189C2211yescharacteristic
53#16811189C2211yescharacteristic, complemented
54#16811189C2211yescharacteristic, complemented
55#16811189C2211yescharacteristic, complemented
56#16811189C2211yescharacteristic, complemented
57#16811188—21no—
58#16811188—21no—
59#16811187C2211yescharacteristic, complemented
60#16811186—21no—
61#16811181—21no—
62#16811181—21no—
63#16811168—21no—
64#16811168—21no—
65#127×D53—21no—
66#124×D53—21no—
67#16811136—21no—
68#16811136C2211yescharacteristic
69#16811136C2211yescharacteristic, complemented
70#16811133—21no—
71#16811133C2211yescharacteristic
72#16811133C2211yescharacteristic, complemented
73#121×D53C2211yescharacteristic
74#121×D53C2211yescharacteristic
75#121×D53C2211yescharacteristic, complemented
76#121×D53C2211yescharacteristic, complemented
77#120×D53—21no—
78#120×D53—21no—
79C2×#13133175C2211yescharacteristic, complemented
80#117×D53C2211yescharacteristic, complemented
81#16810967C2211yescharacteristic, complemented
82#16810966C2211yescharacteristic, complemented
83#16810965C2211yescharacteristic, complemented
84#16810964C2211yescharacteristic, complemented
85#16810963C2211yescharacteristic, complemented
86#16810962C2211yescharacteristic, complemented
87#16810961C2211yescharacteristic, complemented
88#16810950C2211yescharacteristic, complemented
89#16810950C2211yescharacteristic, complemented
90#16810950C2211yescharacteristic, complemented
91#16810949C2211yescharacteristic, complemented
92#16810949C2211yescharacteristic, complemented
93#16810949C2211yescharacteristic, complemented
94#16810948C2211yescharacteristic, complemented
95#16810947C2211yescharacteristic, complemented
96#16810946C2211yescharacteristic, complemented
97#16810946C2211yescharacteristic, complemented
98#16810946C2211yescharacteristic, complemented
99#16810945C2211yescharacteristic, complemented
100#16810945C2211yescharacteristic, complemented
101#16810945C2211yescharacteristic, complemented
102#16810944C2211yescharacteristic, complemented
103#16810942C2211yescharacteristic, complemented
104#16810941C2211yescharacteristic, complemented
105#16810939C2211yescharacteristic, complemented
106#16810937C2211yescharacteristic, complemented
107#16810936C2211yescharacteristic, complemented
108#16810934C2211yescharacteristic, complemented
109#16810877C2211yescharacteristic, complemented
110#16810876C2211yescharacteristic, complemented
111#16810875C2211yescharacteristic, complemented
112#16810875C2211yescharacteristic, complemented
113#16810874C2211yescharacteristic, complemented
114#16810874C2211yescharacteristic, complemented
115#16810873C2211yescharacteristic, complemented
116#16810872C2211yescharacteristic, complemented
117#16810871C2211yescharacteristic, complemented
118#16810870C2211yescharacteristic, complemented
119#16810869C2211yescharacteristic, complemented
120#16810868C2211yescharacteristic, complemented
121#16810867C2211yescharacteristic, complemented
122#16810866C2211yescharacteristic, complemented
123#16810860C2211yescharacteristic, complemented
124#16810859C2211yescharacteristic, complemented
125#16810858C2211yescharacteristic, complemented
126#16810858C2211yescharacteristic, complemented
127#16810857C2211yescharacteristic, complemented
128#16810857C2211yescharacteristic, complemented
129#16810856C2211yescharacteristic, complemented
130#16810855C2211yescharacteristic, complemented
131#16810854C2211yescharacteristic, complemented
132#16810853C2211yescharacteristic, complemented
133#16810852C2211yescharacteristic, complemented
134#16810851C2211yescharacteristic, complemented
135#16810850C2211yescharacteristic, complemented
136#16810849C2211yescharacteristic, complemented
137#16810776C2211yescharacteristic, complemented
138#16810775C2211yescharacteristic, complemented
139#16810775C2211yescharacteristic, complemented
140#16810774C2211yescharacteristic, complemented
141#16810773C2211yescharacteristic, complemented
142#16810772C2211yescharacteristic, complemented
143#16810772C2211yescharacteristic, complemented
144#16810770C2211yescharacteristic, complemented
145#16810770C2211yescharacteristic, complemented
146#16810768C2211yescharacteristic, complemented
147#16810768C2211yescharacteristic, complemented
148#16810766C2211yescharacteristic, complemented
149#16810766C2211yescharacteristic, complemented
150#16810763C2211yescharacteristic, complemented
151#16810763C2211yescharacteristic, complemented
152#16810760C2211yescharacteristic, complemented
153#16810760C2211yescharacteristic, complemented
154#16810759C2211yescharacteristic, complemented
155#16810758C2211yescharacteristic, complemented
156#16810758C2211yescharacteristic, complemented
157#16810758C2211yescharacteristic, complemented
158#16810758C2211yescharacteristic, complemented
159#16810757C2211yescharacteristic, complemented
160#16810756C2211yescharacteristic, complemented
161#16810755C2211yescharacteristic, complemented
162#16810755C2211yescharacteristic, complemented
163#16810755C2211yescharacteristic, complemented
164#16810755C2211yescharacteristic, complemented
165#16810664C2211yescharacteristic, complemented
166#16810664C2211yescharacteristic, complemented
167#16810662C2211yescharacteristic, complemented
168#16810662C2211yescharacteristic, complemented
169#16810626C2211yescharacteristic, complemented
170#16810626C2211yescharacteristic, complemented
171#16810626C2211yescharacteristic, complemented
172#16810626C2211yescharacteristic, complemented
173#16810623C2211yescharacteristic, complemented
174#16810623C2211yescharacteristic, complemented
175#16810621C2211yescharacteristic, complemented
176#16810621C2211yescharacteristic, complemented
177#16810591C2211yescharacteristic, complemented
178#16810590C2211yescharacteristic, complemented
179#16810589C2211yescharacteristic, complemented
180#16810588C2211yescharacteristic, complemented
181#16810588C2211yescharacteristic, complemented
182#16810588C2211yescharacteristic, complemented
183#16810588C2211yescharacteristic, complemented
184#16810585C2211yescharacteristic, complemented
185#16810585C2211yescharacteristic, complemented
186#16810585C2211yescharacteristic, complemented
187#16810585C2211yescharacteristic, complemented
188C53×#537C2211yescharacteristic, complemented
189C53×#535C2211yescharacteristic, complemented
190C53×#485C2211yescharacteristic, complemented
191C53×#482C2211yescharacteristic, complemented
192C53×#481C2211yescharacteristic, complemented
193C53×#480C2211yescharacteristic, complemented
194C53×#469C2211yescharacteristic, complemented
195C53×#468C2211yescharacteristic, complemented
196C53×#466C2211yescharacteristic, complemented
197C53×#465C2211yescharacteristic, complemented
198C53×#450C2211yescharacteristic, complemented
199C53×#449C2211yescharacteristic, complemented
200C53×#449C2211yescharacteristic, complemented
201C53×#447C2211yescharacteristic, complemented
202C53×#408C2211yescharacteristic, complemented
203C24×D53—21no—
204C2×#11719949D411yescharacteristic
205C2×#11719949C2311yescharacteristic
206C2×#11719945—21no—
207C2×#11719945C2311yescharacteristic
208C2×#11719945C2311yescharacteristic
209C2×#11719945C2311yescharacteristic
210C2×#11719945C2311yescharacteristic, complemented
211C2×#11719947—21no—
212C2×#11719947D411yescharacteristic
213C2×#11719947D411yescharacteristic
214C2×#11719947D411yescharacteristic
215C2×#11719947C2311yescharacteristic
216#41×D53—42no—
217#41×D53—42no—
218#41×D53—42no—
219#41×D53—42no—
220C2×Q8×D53D411yescharacteristic
221C2×Q8×D53C2311yescharacteristic, complemented
222C22×D212C2311yescharacteristic
223C22×C22⋊D53—21no—
224C2×D4×D53—21no—
225C2×D4×D53—21no—
226C2×D4×D53—21no—
227C2×D4×D53—21no—
228C2×D4×D53—21no—
229C2×D4×D53—21no—
230C2×D4×D53—21no—
231C2×D4×D53—42no—
232C2×D4×D53—42no—
233C2×D4×D53D411yescharacteristic
234C2×D4×D53D411yescharacteristic
235C2×D4×D53D411yescharacteristic
236C2×D4×D53C2311yescharacteristic
237C2×D4×D53C2311yescharacteristic
238C2×D4×D53C2311yescharacteristic
239C2×D4×D53C2311yescharacteristic
240C2×D4×D53C2311yescharacteristic, complemented
241C22×C4×D53—21no—
242C22×C4×D53C2311yescharacteristic
243C22×C4×D53C2311yescharacteristic
244C22×C4×D53C2311yescharacteristic
245#13133244—42no—
246#13133244—42no—
247#13133241—42no—
248#13133241—42no—
249C2×#11719913C2311yescharacteristic
250C2×#11719913C2311yescharacteristic
251C2×#11719923C2311yescharacteristic
252C2×#11719923C2311yescharacteristic
253C2×#11719924C2311yescharacteristic
254C2×#11719924C2311yescharacteristic
255C2×D424C2311yescharacteristic
256C2×D424C2311yescharacteristic
257C2×#11719922C2311yescharacteristic
258C2×#11719922C2311yescharacteristic
259C2×#11719922C2311yescharacteristic
260C2×#11719922C2311yescharacteristic
261C2×#11719917C2311yescharacteristic, complemented
262C2×#11719912—42no—
263C2×#11719912C2311yescharacteristic
264C2×#11719912C2311yescharacteristic
265C2×#11719912C2311yescharacteristic
266C2×#11719912C2311yescharacteristic
267C2×#11719912C2311yescharacteristic, complemented
268C2×#11719912C2311yescharacteristic, complemented
269M16×D53—42no—
270C22×#88322C2311yescharacteristic, complemented
271C2×C8×D53C2311yescharacteristic, complemented
272C2×C8×D53C2311yescharacteristic, complemented
273#13133216—21no—
274#13133216—21no—
275#13133214—21no—
276#13133213—21no—
277#13133213—21no—
278#13133213—21no—
279#13133213—21no—
280#13133213—21no—
281#13133213—21no—
282#13133213—21no—
283#13133213—21no—
284#13133206—21no—
285#13133205—21no—
286#13133204—21no—
287#13133203—21no—
288#13133203—21no—
289#13133203—21no—
290#13133203—21no—
291#13133203—21no—
292#13133203—21no—
293#13133203—21no—
294#13133203—21no—
295#13133202—21no—
296#13133202—21no—
297#13133202—21no—
298#13133202—21no—
299#13133199—21no—
300#13133199—21no—
301#13133199—21no—
302#13133199—21no—
303#13133197—21no—
304#13133197C2311yescharacteristic
305#13133197C2311yescharacteristic, complemented
306#13133196—21no—
307#13133196C2311yescharacteristic
308#13133196C2311yescharacteristic, complemented
309#13133193—21no—
310#13133193C2311yescharacteristic
311#13133193C2311yescharacteristic, complemented
312#13133192—21no—
313#13133192C2311yescharacteristic
314#13133192C2311yescharacteristic
315#13133192C2311yescharacteristic
316#13133192C2311yescharacteristic
317#13133192C2311yescharacteristic
318#13133192C2311yescharacteristic, complemented
319#13133191—21no—
320#13133191—21no—
321#13133191—21no—
322#13133191C2311yescharacteristic
323#13133191C2311yescharacteristic
324#13133191C2311yescharacteristic
325#13133191C2311yescharacteristic
326#13133191C2311yescharacteristic
327#13133191C2311yescharacteristic, complemented
328#13133190—21no—
329#13133190—21no—
330#13133190—21no—
331#13133190—21no—
332#13133189—21no—
333#13133189—21no—
334#13133189—21no—
335#13133189—21no—
336#13133189—21no—
337#13133189—21no—
338#13133189—21no—
339#13133189—21no—
340#13133188—21no—
341#13133188C2311yescharacteristic
342#13133188C2311yescharacteristic
343#13133188C2311yescharacteristic
344#13133188C2311yescharacteristic
345#13133188C2311yescharacteristic
346#13133188C2311yescharacteristic, complemented
347#13133187—21no—
348#13133187—21no—
349#13133187—21no—
350#13133187—21no—
351#13133187—21no—
352#13133187—21no—
353#13133187—21no—
354#13133187—21no—
355#13133187—21no—
356#13133187—21no—
357#13133186—21no—
358#13133186—21no—
359#13133185—21no—
360#13133185—21no—
361#13133185—21no—
362#13133185—21no—
363#13133185—21no—
364#13133185—21no—
365#13133185—21no—
366#13133185—21no—
367#13133185—21no—
368#13133185—21no—
369D4×Dic53—21no—
370D4×Dic53—21no—
371#13133179—21no—
372#13133179—21no—
373#13133177—21no—
374#13133177—21no—
375#13133177—21no—
376#13133177—21no—
377#13133176C2311yescharacteristic
378#13133175—21no—
379#13133175—21no—
380#13133175C2311yescharacteristic
381#13133175C2311yescharacteristic
382#13133175C2311yescharacteristic
383#13133175C2311yescharacteristic
384#13133175C2311yescharacteristic, complemented
385#13133175C2311yescharacteristic, complemented
386#13133174—21no—
387#13133173—21no—
388C2×C4⋊Dic53C2311yescharacteristic, complemented
389C4⋊C4×D53C2311yescharacteristic
390C4⋊C4×D53C2311yescharacteristic
391C2×#11719921—21no—
392C22⋊C4×D53—21no—
393C22⋊C4×D53—21no—
394C22⋊C4×D53—21no—
395C22⋊C4×D53—21no—
396C22⋊C4×D53—21no—
397C2×C4×Dic53—21no—
398C42×D53—21no—
399#13133151C2311yescharacteristic, complemented
400#13133151C2311yescharacteristic, complemented
401#13133150C2311yescharacteristic, complemented
402#13133150C2311yescharacteristic, complemented
403#13133150C2311yescharacteristic, complemented
404#13133150C2311yescharacteristic, complemented
405#13133149C2311yescharacteristic, complemented
406#13133149C2311yescharacteristic, complemented
407#13133148C2311yescharacteristic, complemented
408#13133148C2311yescharacteristic, complemented
409#13133148C2311yescharacteristic, complemented
410#13133148C2311yescharacteristic, complemented
411#13133142C2311yescharacteristic, complemented
412#13133142C2311yescharacteristic, complemented
413#13133141C2311yescharacteristic, complemented
414#13133141C2311yescharacteristic, complemented
415#13133140C2311yescharacteristic, complemented
416#13133140C2311yescharacteristic, complemented
417#13133139C2311yescharacteristic
418#13133139C2311yescharacteristic
419#13133139C2311yescharacteristic
420#13133139C2311yescharacteristic
421#13133139C2311yescharacteristic, complemented
422#13133139C2311yescharacteristic, complemented
423#13133138C2311yescharacteristic
424#13133138C2311yescharacteristic
425#13133138C2311yescharacteristic
426#13133138C2311yescharacteristic
427#13133138C2311yescharacteristic, complemented
428#13133138C2311yescharacteristic, complemented
429#13133137C2311yescharacteristic
430#13133137C2311yescharacteristic
431#13133137C2311yescharacteristic
432#13133137C2311yescharacteristic
433#13133137C2311yescharacteristic, complemented
434#13133137C2311yescharacteristic, complemented
435C22⋊#88322C2311yescharacteristic
436C22⋊#88322C2311yescharacteristic
437C22⋊#88322C2311yescharacteristic, complemented
438C22⋊#88322C2311yescharacteristic, complemented
439#13133129C2311yescharacteristic
440#13133129C2311yescharacteristic
441#13133129C2311yescharacteristic
442#13133129C2311yescharacteristic
443#13133129C2311yescharacteristic, complemented
444#13133129C2311yescharacteristic, complemented
445#13133129C2311yescharacteristic, complemented
446#13133129C2311yescharacteristic, complemented
447C2×#41×C53C2311yescharacteristic
448C2×#41×C53C2311yescharacteristic, complemented
449C22×D4×C53C2311yescharacteristic
450C2×SD16×C53C2311yescharacteristic
451C2×SD16×C53C2311yescharacteristic
452C2×D8×C53C2311yescharacteristic
453C2×D8×C53C2311yescharacteristic
454C2×M16×C53C2311yescharacteristic, complemented
455C22×C8×C53C2311yescharacteristic, complemented
456#127×C53—21no—
457#124×C53—21no—
458C22⋊Q8×C53—21no—
459C22⋊Q8×C53C2311yescharacteristic
460C22⋊Q8×C53C2311yescharacteristic, complemented
461#121×C53—21no—
462#121×C53—21no—
463#121×C53—21no—
464#121×C53C2311yescharacteristic
465#121×C53C2311yescharacteristic
466#121×C53C2311yescharacteristic
467#121×C53C2311yescharacteristic
468#121×C53C2311yescharacteristic
469#121×C53C2311yescharacteristic, complemented
470#120×C53—21no—
471#120×C53—21no—
472#117×C53C2311yescharacteristic
473C2×C4⋊C4×C53C2311yescharacteristic, complemented
474#107×C53C2311yescharacteristic, complemented
475#107×C53C2311yescharacteristic, complemented
476#106×C53C2311yescharacteristic, complemented
477#106×C53C2311yescharacteristic, complemented
478#103×C53C2311yescharacteristic, complemented
479#103×C53C2311yescharacteristic, complemented
480#102×C53C2311yescharacteristic
481#102×C53C2311yescharacteristic
482#102×C53C2311yescharacteristic
483#102×C53C2311yescharacteristic
484#102×C53C2311yescharacteristic, complemented
485#102×C53C2311yescharacteristic, complemented
486C22⋊C8×C53C2311yescharacteristic
487C22⋊C8×C53C2311yescharacteristic
488C22⋊C8×C53C2311yescharacteristic, complemented
489C22⋊C8×C53C2311yescharacteristic, complemented
490C24×C53—21no—
491C23×D53—21no—
492C23×D53—21no—
493C23×D53—21no—
494C23×D53—21no—
495C23×D53—21no—
496C23×D53—21no—
497C23×D53—44no—
498C23×D53—82no—
499C23×D53—82no—
500C23×D53C2×D411yescharacteristic
501C23×D53C2×D411yescharacteristic
502C23×D53C2×D411yescharacteristic
503#41×C53—41no—
504#41×C53—41no—
505#41×C53—41no—
506#41×C53—41no—
507C2×Q8×C53C2×D411yescharacteristic
508C2×Q8×C53C2411yescharacteristic
509C2×D4×C53—21no—
510C2×D4×C53—21no—
511C2×D4×C53—21no—
512C2×D4×C53—21no—
513C2×D4×C53—21no—
514C2×D4×C53—21no—
515C2×D4×C53—21no—
516C2×D4×C53—21no—
517C2×D4×C53—41no—
518C2×D4×C53—41no—
519C2×D4×C53C2×D411yescharacteristic
520C2×D4×C53C2×D411yescharacteristic
521C2×D4×C53C2×D411yescharacteristic
522C2×D4×C53C2411yescharacteristic
523C2×D4×C53C2411yescharacteristic
524C2×D4×C53C2411yescharacteristic
525C22×C4×C53—21no—
526C22×C4×C53—21no—
527C22×C4×C53C2411yescharacteristic
528C22×C4×C53C2411yescharacteristic
529C22×C4×C53C2411yescharacteristic
530C2×C22⋊D53—21no—
531C2×C22⋊D53—21no—
532C2×C22⋊D53—21no—
533C2×C22⋊D53—21no—
534C2×C22⋊D53—21no—
535C2×C22⋊D53—21no—
536C2×C22⋊D53—21no—
537C2×C22⋊D53—21no—
538C2×C22⋊D53—21no—
539C2×C22⋊D53—21no—
540C2×C22⋊D53—21no—
541C2×C22⋊D53—21no—
542C2×C22⋊D53—21no—
543C2×C22⋊D53—21no—
544C2×C22⋊D53—21no—
545C2×C22⋊D53—21no—
546C2×C22⋊D53—21no—
547C2×C22⋊D53—21no—
548C2×C22⋊D53—21no—
549C2×C22⋊D53—44no—
550C2×C22⋊D53C2×D411yescharacteristic
551C2×C22⋊D53C2×D411yescharacteristic
552C2×C22⋊D53C2×D411yescharacteristic
553C2×C22⋊D53C2×D411yescharacteristic
554C2×C22⋊D53C2×D411yescharacteristic
555C2×C22⋊D53C2×D411yescharacteristic
556C22×Dic53—21no—
557C22×Dic53—21no—
558C22×Dic53C2×D411yescharacteristic
559C22×Dic53C2×D411yescharacteristic
560C22×Dic53C2×D411yescharacteristic
561#11719949—22no—
562#11719949—22no—
563#11719949—42no—
564Q8×D53—41no—
565Q8×D53—41no—
566Q8×D53—42no—
567#11719947—22no—
568#11719947—22no—
569#11719947—42no—
570#11719947—42no—
571#11719947—42no—
572#11719947—44no—
573D4×D53—22no—
574D4×D53—22no—
575D4×D53—22no—
576D4×D53—22no—
577D4×D53—41no—
578D4×D53—41no—
579D4×D53—41no—
580D4×D53—41no—
581D4×D53—41no—
582D4×D53—41no—
583D4×D53—42no—
584D4×D53—42no—
585D4×D53—42no—
586D4×D53—44no—
587D4×D53—44no—
588D4×D53—44no—
589D4×D53—82no—
590D4×D53—82no—
591D4×D53—82no—
592D4×D53—82no—
593#11719945—41no—
594#11719945—41no—
595#11719945—41no—
596#11719945—41no—
597#11719945—41no—
598#11719945—41no—
599#11719945—41no—
600#11719945—41no—
601#11719945—44no—
602C2×D212—21no—
603C2×D212—21no—
604C2×D212—21no—
605C2×D212—21no—
606C2×D212—21no—
607C2×D212—21no—
608C2×D212—21no—
609C2×D212—21no—
610C2×D212—41no—
611C2×D212—41no—
612C2×D212C2×D411yescharacteristic
613C2×D212C2×D411yescharacteristic
614C2×D212C2×D411yescharacteristic
615C2×D212C2411yescharacteristic
616C2×D212C2411yescharacteristic
617C2×D212C2411yescharacteristic
618C2×C4×D53—22no—
619C2×C4×D53—22no—
620C2×C4×D53—22no—
621C2×C4×D53—22no—
622C2×C4×D53—22no—
623C2×C4×D53—22no—
624C2×C4×D53—21no—
625C2×C4×D53—21no—
626C2×C4×D53—21no—
627C2×C4×D53—21no—
628C2×C4×D53—21no—
629C2×C4×D53—44no—
630C2×C4×D53C2×D411yescharacteristic
631C2×C4×D53C2×D411yescharacteristic
632C2×C4×D53C2×D411yescharacteristic
633C2×C4×D53C2×D411yescharacteristic
634C2×C4×D53C2×D411yescharacteristic
635C2×C4×D53C2×D411yescharacteristic
636C2×C4×D53C2411yescharacteristic
637C2×C4×D53C2411yescharacteristic
638C2×C4×D53C2411yescharacteristic
639C2×C4×D53C2411yescharacteristic
640C2×Dic106—21no—
641C2×Dic106C2×D411yescharacteristic
642C2×Dic106C2×D411yescharacteristic
643C2×Dic106C2×D411yescharacteristic
644C2×Dic106C2411yescharacteristic
645SD16×C53—41no—
646SD16×C53—41no—
647D8×C53—41no—
648D8×C53—41no—
649M16×C53—41no—
650C2×C8×C53—41no—
651C2×C8×C53C2411yescharacteristic
652C2×C8×C53C2411yescharacteristic
653C2×C8×C53C2411yescharacteristic
654C2×C8×C53C2411yescharacteristic
655C4⋊C4×C53—21no—
656C4⋊C4×C53—21no—
657C4⋊C4×C53—21no—
658C4⋊C4×C53C2411yescharacteristic
659C4⋊C4×C53C2411yescharacteristic
660C4⋊C4×C53C2411yescharacteristic
661C4⋊C4×C53C2411yescharacteristic
662C22⋊C4×C53—21no—
663C22⋊C4×C53—21no—
664C22⋊C4×C53—21no—
665C22⋊C4×C53—21no—
666C22⋊C4×C53—21no—
667C22⋊C4×C53—21no—
668C22⋊C4×C53—21no—
669C22⋊C4×C53—21no—
670C22⋊C4×C53—21no—
671C42×C53—21no—
672C22⋊Dic53—21no—
673C22⋊Dic53—21no—
674C22⋊Dic53—21no—
675C22⋊Dic53—21no—
676C22⋊Dic53—21no—
677C22⋊Dic53—21no—
678C22⋊Dic53—21no—
679C22⋊Dic53—21no—
680C22⋊Dic53—21no—
681#11719924—41no—
682#11719924—41no—
683#11719923—41no—
684#11719923—41no—
685#11719922—41no—
686#11719922—41no—
687#11719922—41no—
688#11719922—41no—
689#11719921—21no—
690#11719921—21no—
691#11719921—21no—
692#11719921—21no—
693#11719921—21no—
694#11719921—21no—
695#11719921—21no—
696#11719921—21no—
697#11719921—21no—
698#11719921—21no—
699#11719921—21no—
700#11719921—21no—
701#11719921—21no—
702#11719921—21no—
703#11719921—21no—
704#11719921—21no—
705#11719921—21no—
706#11719921—21no—
707#11719921—21no—
708#11719921—21no—
709#11719921—21no—
710#11719921—21no—
711C4⋊Dic53—21no—
712C4⋊Dic53—21no—
713C4⋊Dic53—21no—
714C4⋊Dic53C2411yescharacteristic
715C4⋊Dic53C2411yescharacteristic
716C4⋊Dic53C2411yescharacteristic
717C4⋊Dic53C2411yescharacteristic
718#11719919—21no—
719#11719919—21no—
720#11719919—21no—
721#11719919—21no—
722#11719919—21no—
723#11719919—21no—
724C4×Dic53—21no—
725C4×Dic53—21no—
726C4×Dic53—21no—
727C4×Dic53—21no—
728C4×Dic53—21no—
729C4×Dic53—21no—
730C4×Dic53—21no—
731#11719917—41no—
732C2×#88322—41no—
733C2×#88322C2411yescharacteristic
734C2×#88322C2411yescharacteristic
735C2×#88322C2411yescharacteristic
736C2×#88322C2411yescharacteristic
737D424—41no—
738D424—41no—
739#11719913—41no—
740#11719913—41no—
741#11719912—22no—
742#11719912—22no—
743#11719912—22no—
744#11719912—22no—
745#11719912—41no—
746#11719912—41no—
747C8×D53—41no—
748C8×D53—41no—
749C23×C53—21no—
750C23×C53—21no—
751C23×C53—21no—
752C23×C53—42no—
753C23×C53—81no—
754C23×C53—81no—
755C23×C53C22×D411yescharacteristic
756C23×C53C22×D411yescharacteristic
757C23×C53C22×D411yescharacteristic
758C22×D53—22no—
759C22×D53—22no—
760C22×D53—22no—
761C22×D53—21no—
762C22×D53—21no—
763C22×D53—21no—
764C22×D53—41no—
765C22×D53—41no—
766C22×D53—41no—
767C22×D53—41no—
768C22×D53—41no—
769C22×D53—41no—
770C22×D53—42no—
771C22×D53—42no—
772C22×D53—42no—
773C22×D53—42no—
774C22×D53—42no—
775C22×D53—42no—
776C22×D53—42no—
777C22×D53—42no—
778C22×D53—42no—
779C22×D53—42no—
780C22×D53—81no—
781C22×D53—81no—
782C22×D53—81no—
783C22×D53—81no—
784C22×D53—81no—
785C22×D53—81no—
786C22×D53—81no—
787C22×D53—81no—
788C22×D53—816no—
789C22×D53C22×D411yescharacteristic
790C22×D53C22×D411yescharacteristic
791C22×D53C22×D411yescharacteristic
792C22×D53C22×D411yescharacteristic
793Q8×C53—21no—
794Q8×C53—21no—
795Q8×C53—41no—
796D4×C53—21no—
797D4×C53—21no—
798D4×C53—21no—
799D4×C53—21no—
800D4×C53—21no—
801D4×C53—21no—
802D4×C53—41no—
803D4×C53—41no—
804D4×C53—41no—
805D4×C53—42no—
806D4×C53—42no—
807D4×C53—81no—
808D4×C53—81no—
809D4×C53—81no—
810D4×C53—81no—
811D4×C53—81no—
812D4×C53—81no—
813C2×C4×C53—21no—
814C2×C4×C53—21no—
815C2×C4×C53—21no—
816C2×C4×C53—21no—
817C2×C4×C53—21no—
818C2×C4×C53—21no—
819C2×C4×C53—21no—
820C2×C4×C53—21no—
821C2×C4×C53—21no—
822C2×C4×C53—21no—
823C2×C4×C53—21no—
824C2×C4×C53—42no—
825C2×C4×C53—81no—
826C2×C4×C53C22×D411yescharacteristic
827C2×C4×C53C22×D411yescharacteristic
828C2×C4×C53C22×D411yescharacteristic
829C2×C4×C53C2511yescharacteristic
830C22⋊D53—41no—
831C22⋊D53—41no—
832C22⋊D53—41no—
833C22⋊D53—41no—
834C22⋊D53—41no—
835C22⋊D53—41no—
836C22⋊D53—42no—
837C22⋊D53—42no—
838C22⋊D53—42no—
839C22⋊D53—42no—
840C22⋊D53—42no—
841C22⋊D53—42no—
842C22⋊D53—42no—
843C22⋊D53—81no—
844C22⋊D53—81no—
845C22⋊D53—81no—
846C22⋊D53—81no—
847C22⋊D53—81no—
848C22⋊D53—81no—
849C22⋊D53—81no—
850C22⋊D53—81no—
851C22⋊D53—81no—
852C22⋊D53—81no—
853C22⋊D53—81no—
854C22⋊D53—81no—
855C2×Dic53—22no—
856C2×Dic53—22no—
857C2×Dic53—22no—
858C2×Dic53—21no—
859C2×Dic53—21no—
860C2×Dic53—21no—
861C2×Dic53—21no—
862C2×Dic53—21no—
863C2×Dic53—42no—
864C2×Dic53—81no—
865C2×Dic53C22×D411yescharacteristic
866C2×Dic53C22×D411yescharacteristic
867C2×Dic53C22×D411yescharacteristic
868C2×Dic53C22×D411yescharacteristic
869D212—21no—
870D212—21no—
871D212—21no—
872D212—21no—
873D212—21no—
874D212—21no—
875D212—41no—
876D212—41no—
877D212—41no—
878D212—42no—
879D212—42no—
880D212—81no—
881D212—81no—
882D212—81no—
883D212—81no—
884D212—81no—
885D212—81no—
886C4×D53—22no—
887C4×D53—22no—
888C4×D53—22no—
889C4×D53—21no—
890C4×D53—21no—
891C4×D53—21no—
892C4×D53—21no—
893C4×D53—21no—
894C4×D53—21no—
895C4×D53—22no—
896C4×D53—22no—
897C4×D53—22no—
898C4×D53—42no—
899C4×D53—42no—
900C4×D53—42no—
901C4×D53—42no—
902C4×D53—42no—
903C4×D53H(5,𝔽2)12yes—
904C4×D53H(5,𝔽2)12yes—
905Dic106—21no—
906Dic106—21no—
907Dic106—41no—
908Dic106—41no—
909Dic106—41no—
910Dic106—42no—
911C8×C53—21no—
912C8×C53—21no—
913C8×C53—21no—
914C8×C53—21no—
915#88322—21no—
916#88322—21no—
917#88322—21no—
918#88322—21no—
919#60753—531nomaximal, Sylow
920C22×C53—21no—
921C22×C53—21no—
922C22×C53—21no—
923C22×C53—21no—
924C22×C53—21no—
925C22×C53—21no—
926C22×C53—21no—
927C22×C53—21no—
928C22×C53—21no—
929C22×C53—41no—
930C22×C53—41no—
931C22×C53—41no—
932C22×C53—41no—
933C22×C53—41no—
934C22×C53—41no—
935C22×C53—41no—
936C22×C53—41no—
937C22×C53—41no—
938C22×C53—84no—
939C22×C53C23×D411yescharacteristic
940C2×D53—21no—
941C2×D53—21no—
942C2×D53—21no—
943C2×D53—21no—
944C2×D53—21no—
945C2×D53—21no—
946C2×D53—21no—
947C2×D53—21no—
948C2×D53—21no—
949C2×D53—21no—
950C2×D53—21no—
951C2×D53—44no—
952C2×D53—41no—
953C2×D53—41no—
954C2×D53—41no—
955C2×D53—41no—
956C2×D53—41no—
957C2×D53—41no—
958C2×D53—41no—
959C2×D53—41no—
960C2×D53—41no—
961C2×D53—82no—
962C2×D53—82no—
963C2×D53—84no—
964C2×D53—84no—
965C2×D53—84no—
966C2×D53—84no—
967C2×D53—84no—
968C2×D53—84no—
969C2×D53#53412yes—
970C4×C53—21no—
971C4×C53—21no—
972C4×C53—21no—
973C4×C53—41no—
974C4×C53—41no—
975C4×C53—41no—
976C4×C53—41no—
977C4×C53—41no—
978C4×C53C2×H(5,𝔽2)11yescharacteristic
979C4×C53C2×H(5,𝔽2)11yescharacteristic
980Dic53—21no—
981Dic53—21no—
982Dic53—21no—
983Dic53—41no—
984Dic53—41no—
985Dic53—41no—
986Dic53—41no—
987Dic53—41no—
988Dic53#53412yes—
989#3449—531no—
990C2×#535—531no—
991#3200—531no—
992#3200—531no—
993#3200—531no—
994#3200—531no—
995#3199—531no—
996#3199—531no—
997#3199—531no—
998#3199—531no—
999#3198—531no—
1000#3198—531no—
1001#3198—531no—
1002#3198—531no—
1003#3198—531no—
1004#3198—531no—
1005#3198—531no—
1006#3198D5311yescharacteristic, complemented
1007#3094—531no—
1008#3094—531no—
1009#3093—531no—
1010#3093—531no—
1011#3055—531no—
1012#3055—531no—
1013#3055—531no—
1014#3055—531no—
1015#3006—531no—
1016#3006—531no—
1017#3003—531no—
1018#3003—531no—
1019#2879—531no—
1020C2×C53—41no—
1021C2×C53—41no—
1022C2×C53—41no—
1023C2×C53—81no—
1024C2×C53—81no—
1025C2×C53—81no—
1026C2×C53C2×#53411yescharacteristic
1027C2×C53#358511yescharacteristic
1028C2×C53#358511yescharacteristic
1029D53—22no—
1030D53—41no—
1031D53—41no—
1032D53—41no—
1033D53—81no—
1034D53—81no—
1035D53—81no—
1036C22×#41—531no—
1037C22×#41—531no—
1038C23×D4—531no—
1039C2×AGL(1,ℤ/8)—531no—
1040C2×AGL(1,ℤ/8)—531no—
1041C2×AGL(1,ℤ/8)—531no—
1042C2×AGL(1,ℤ/8)—531no—
1043C22×M16—531no—
1044C22×M16—531no—
1045#537—531no—
1046#537—531no—
1047#537—531no—
1048#537C2×D5311yescharacteristic, complemented
1049#536—531no—
1050#536—531no—
1051#536—1061no—
1052#535—531no—
1053#535—531no—
1054#535—531no—
1055#535—531no—
1056#535—531no—
1057#535—531no—
1058#535—531no—
1059#535—531no—
1060#535—531no—
1061#535—1061no—
1062#535—1061no—
1063#535—1061no—
1064#535—1061no—
1065#535—1061no—
1066#535C2×D5311yescharacteristic, complemented
1067#534—1061no—
1068#534—1061no—
1069#532—1061no—
1070#532—1061no—
1071C2×#127—1061no—
1072C2×#124—1061no—
1073#525—531no—
1074#525—531no—
1075#525—531no—
1076#525—531no—
1077#525—1061no—
1078#525—1061no—
1079C2×#121—531no—
1080C2×#121—531no—
1081C2×#121—531no—
1082C2×#121—531no—
1083C2×#120—1061no—
1084C2×#120—1061no—
1085C2×#117—531no—
1086C2×#117—531no—
1087#485—531no—
1088#485—531no—
1089#485—531no—
1090#485—531no—
1091#485—531no—
1092#485—531no—
1093#485—531no—
1094#485C2×D5311yescharacteristic, complemented
1095#482—531no—
1096#482—531no—
1097#482—531no—
1098#482—531no—
1099#482—531no—
1100#482—531no—
1101#482—531no—
1102#482—531no—
1103#482—531no—
1104#482—531no—
1105#482—531no—
1106#482—531no—
1107#482—531no—
1108#482—531no—
1109#482—531no—
1110#482C2×D5311yescharacteristic, complemented
1111#481—531no—
1112#481—531no—
1113#481—531no—
1114#481C2×D5311yescharacteristic, complemented
1115#480—531no—
1116#480—531no—
1117#480—531no—
1118#480C2×D5311yescharacteristic, complemented
1119#469—531no—
1120#469—531no—
1121#469—531no—
1122#469—531no—
1123#469—531no—
1124#469—531no—
1125#469—531no—
1126#469C2×D5311yescharacteristic, complemented
1127#468—531no—
1128#468—531no—
1129#468—531no—
1130#468—531no—
1131#468—531no—
1132#468—531no—
1133#468—531no—
1134#468C2×D5311yescharacteristic, complemented
1135#466—531no—
1136#466—531no—
1137#466—531no—
1138#466—531no—
1139#466—531no—
1140#466—531no—
1141#466—531no—
1142#466C2×D5311yescharacteristic, complemented
1143#465—531no—
1144#465—531no—
1145#465—531no—
1146#465—531no—
1147#465—531no—
1148#465—531no—
1149#465—531no—
1150#465C2×D5311yescharacteristic, complemented
1151#450—531no—
1152#450—531no—
1153#450—531no—
1154#450—531no—
1155#450—531no—
1156#450—531no—
1157#450—531no—
1158#450C2×D5311yescharacteristic, complemented
1159#449—531no—
1160#449—531no—
1161#449—531no—
1162#449—531no—
1163#449—531no—
1164#449—531no—
1165#449C2×D5311yescharacteristic, complemented
1166#449C2×D5311yescharacteristic, complemented
1167#448—531no—
1168#448—531no—
1169#448—531no—
1170#448—531no—
1171#447—531no—
1172#447—531no—
1173#447—531no—
1174#447—531no—
1175#447—531no—
1176#447—531no—
1177#447—531no—
1178#447—531no—
1179#447—531no—
1180#447—531no—
1181#447—531no—
1182#447C2×D5311yescharacteristic, complemented
1183#428—531no—
1184#428—531no—
1185#428—531no—
1186#428—531no—
1187#418—531no—
1188#418—531no—
1189#418—531no—
1190#418—531no—
1191#417—531no—
1192#417—531no—
1193#417—531no—
1194#417—531no—
1195#408—531no—
1196#408—531no—
1197#408—531no—
1198#408—531no—
1199#408—531no—
1200#408—531no—
1201#408—531no—
1202#408C2×D5311yescharacteristic, complemented
1203#407—531no—
1204#407—531no—
1205#407—531no—
1206#407—531no—
1207C53#6075311yescharacteristic, complemented, Sylow
1208C25—1061no—
1209C2×#41—531no—
1210C2×#41—531no—
1211C2×#41—531no—
1212C2×#41—531no—
1213C2×#41—531no—
1214C2×#41—531no—
1215C2×#41—531no—
1216C2×#41—531no—
1217C2×#41—531no—
1218C2×#41—531no—
1219C2×#41—1061no—
1220C2×#41—1061no—
1221C2×#41—2122no—
1222C2×#41—2122no—
1223C2×#41—2122no—
1224C2×#41—2122no—
1225C2×#41C22×D5311yescharacteristic
1226C2×#41C22×D5311yescharacteristic, complemented
1227C22×Q8—531no—
1228C22×Q8—531no—
1229C22×D4—531no—
1230C22×D4—531no—
1231C22×D4—531no—
1232C22×D4—531no—
1233C22×D4—531no—
1234C22×D4—531no—
1235C22×D4—531no—
1236C22×D4—531no—
1237C22×D4—531no—
1238C22×D4—1061no—
1239C22×D4—1061no—
1240C22×D4—1061no—
1241C22×D4—1061no—
1242C22×D4—1061no—
1243C22×D4—1061no—
1244C22×D4—1061no—
1245C22×D4—1061no—
1246C22×D4—2122no—
1247C22×D4—2122no—
1248C22×D4C22×D5311yescharacteristic
1249C23×C4—531no—
1250C23×C4—531no—
1251C23×C4—531no—
1252C23×C4—1061no—
1253AGL(1,ℤ/8)—2122no—
1254AGL(1,ℤ/8)—2122no—
1255AGL(1,ℤ/8)—2122no—
1256AGL(1,ℤ/8)—2122no—
1257C2×SD16—531no—
1258C2×SD16—531no—
1259C2×SD16—531no—
1260C2×SD16—531no—
1261C2×SD16—531no—
1262C2×SD16—531no—
1263C2×SD16C22×D5311yescharacteristic
1264C2×SD16C22×D5311yescharacteristic
1265C2×D8—531no—
1266C2×D8—531no—
1267C2×D8—531no—
1268C2×D8—531no—
1269C2×D8—531no—
1270C2×D8—531no—
1271C2×D8C22×D5311yescharacteristic
1272C2×D8C22×D5311yescharacteristic
1273C2×M16—531no—
1274C2×M16—531no—
1275C2×M16—531no—
1276C2×M16—531no—
1277C2×M16—531no—
1278C2×M16—531no—
1279C2×M16—531no—
1280C2×M16—2122no—
1281C2×M16—2122no—
1282C2×M16C22×D5311yescharacteristic, complemented
1283C22×C8—531no—
1284C22×C8—531no—
1285C22×C8—531no—
1286C22×C8C22×D5311yescharacteristic, complemented
1287C4⋊Q8—1061no—
1288C4⋊Q8—1061no—
1289#127—21no—
1290#127—1061no—
1291#127—1061no—
1292#127—1061no—
1293#127—1061no—
1294#127—1061no—
1295#127—1061no—
1296#127—1061no—
1297#127—1061no—
1298#127—1061no—
1299#124—21no—
1300#124—1061no—
1301#124—1061no—
1302#124—1061no—
1303#124—1061no—
1304#124—1061no—
1305#124—1061no—
1306#124—1061no—
1307#124—1061no—
1308#124—1061no—
1309#124—1061no—
1310#124—1061no—
1311#123—1061no—
1312#123—1061no—
1313#123—1061no—
1314#123—1061no—
1315#123—1061no—
1316#123—1061no—
1317#123—1061no—
1318#123—1061no—
1319C22⋊Q8—21no—
1320C22⋊Q8—531no—
1321C22⋊Q8—531no—
1322C22⋊Q8—531no—
1323C22⋊Q8—531no—
1324C22⋊Q8—531no—
1325C22⋊Q8—531no—
1326C22⋊Q8—1061no—
1327C22⋊Q8—1061no—
1328C22⋊Q8—1061no—
1329C22⋊Q8C22×D5311yescharacteristic
1330C22⋊Q8C22×D5311yescharacteristic, complemented
1331#121—21no—
1332#121—21no—
1333#121—21no—
1334#121—531no—
1335#121—531no—
1336#121—531no—
1337#121—531no—
1338#121—531no—
1339#121—531no—
1340#121—531no—
1341#121—531no—
1342#121—531no—
1343#121—531no—
1344#121—531no—
1345#121—531no—
1346#121—531no—
1347#121—531no—
1348#121—531no—
1349#121—531no—
1350#121—531no—
1351#121—531no—
1352#121—1061no—
1353#121—1061no—
1354#121—1061no—
1355#121—1061no—
1356#121—1061no—
1357#121—1061no—
1358#121—1061no—
1359#121—1061no—
1360#121—1061no—
1361#121—1061no—
1362#121—1061no—
1363#121—1061no—
1364#121—1061no—
1365#121—1061no—
1366#121—1061no—
1367#121—1061no—
1368#121—1061no—
1369#121C22×D5311yescharacteristic
1370#121C22×D5311yescharacteristic
1371#121C22×D5311yescharacteristic
1372#121C22×D5311yescharacteristic
1373#121C22×D5311yescharacteristic
1374#121C22×D5311yescharacteristic, complemented
1375#120—21no—
1376#120—21no—
1377#120—1061no—
1378#120—1061no—
1379#120—1061no—
1380#120—1061no—
1381#120—1061no—
1382#120—1061no—
1383#120—1061no—
1384#120—1061no—
1385#120—1061no—
1386#120—1061no—
1387#120—1061no—
1388#120—1061no—
1389#120—1061no—
1390#120—1061no—
1391#120—1061no—
1392#120—1061no—
1393#120—1061no—
1394#120—1061no—
1395#120—1061no—
1396#120—1061no—
1397#120—1061no—
1398#120—1061no—
1399C4×D4—1061no—
1400C4×D4—1061no—
1401C4×D4—1061no—
1402C4×D4—1061no—
1403C4×D4—1061no—
1404C4×D4—1061no—
1405C4×D4—1061no—
1406C4×D4—1061no—
1407#117—531no—
1408#117—531no—
1409#117—531no—
1410#117—531no—
1411#117—531no—
1412#117—531no—
1413#117—531no—
1414#117—1061no—
1415#117—1061no—
1416#117—1061no—
1417#117—1061no—
1418#117C22×D5311yescharacteristic
1419C2×C4⋊C4—531no—
1420C2×C4⋊C4—531no—
1421C2×C4⋊C4—531no—
1422C2×C4⋊C4C22×D5311yescharacteristic, complemented
1423C2×C22⋊C4—1061no—
1424C2×C22⋊C4—1061no—
1425C2×C22⋊C4—1061no—
1426C2×C22⋊C4—1061no—
1427C2×C22⋊C4—1061no—
1428C2×C22⋊C4—1061no—
1429C2×C42—1061no—
1430C2×C42—1061no—
1431#107—531no—
1432#107—531no—
1433#107—531no—
1434#107—531no—
1435#107—531no—
1436#107—531no—
1437#107C22×D5311yescharacteristic, complemented
1438#107C22×D5311yescharacteristic, complemented
1439#106—531no—
1440#106—531no—
1441#106—531no—
1442#106—531no—
1443#106—531no—
1444#106—531no—
1445#106C22×D5311yescharacteristic, complemented
1446#106C22×D5311yescharacteristic, complemented
1447#103—531no—
1448#103—531no—
1449#103—531no—
1450#103—531no—
1451#103—531no—
1452#103—531no—
1453#103C22×D5311yescharacteristic, complemented
1454#103C22×D5311yescharacteristic, complemented
1455#102—531no—
1456#102—531no—
1457#102—531no—
1458#102—531no—
1459#102—531no—
1460#102—531no—
1461#102—531no—
1462#102—531no—
1463#102—531no—
1464#102—531no—
1465#102—531no—
1466#102—531no—
1467#102—531no—
1468#102—531no—
1469#102—531no—
1470#102—531no—
1471#102—531no—
1472#102—531no—
1473#102C22×D5311yescharacteristic
1474#102C22×D5311yescharacteristic
1475#102C22×D5311yescharacteristic
1476#102C22×D5311yescharacteristic
1477#102C22×D5311yescharacteristic, complemented
1478#102C22×D5311yescharacteristic, complemented
1479C22⋊C8—531no—
1480C22⋊C8—531no—
1481C22⋊C8—531no—
1482C22⋊C8—531no—
1483C22⋊C8—531no—
1484C22⋊C8—531no—
1485C22⋊C8—531no—
1486C22⋊C8—531no—
1487C22⋊C8—531no—
1488C22⋊C8—531no—
1489C22⋊C8—531no—
1490C22⋊C8—531no—
1491C22⋊C8C22×D5311yescharacteristic
1492C22⋊C8C22×D5311yescharacteristic
1493C22⋊C8C22×D5311yescharacteristic, complemented
1494C22⋊C8C22×D5311yescharacteristic, complemented
1495C24—21no—
1496C24—531no—
1497C24—531no—
1498C24—531no—
1499C24—1061no—
1500C24—1061no—
1501C24—1061no—
1502C24—1061no—
1503C24—1061no—
1504C24—1061no—
1505C24—4242no—
1506C24—4242no—
1507C24—2124no—
1508#41—41no—
1509#41—41no—
1510#41—41no—
1511#41—41no—
1512#41—1062no—
1513#41—1062no—
1514#41—1062no—
1515#41—1062no—
1516#41—2121no—
1517#41—2121no—
1518#41—2121no—
1519#41—2121no—
1520#41—2121no—
1521#41—2121no—
1522#41—2121no—
1523#41—2121no—
1524#41—2124no—
1525#41—2122no—
1526#41—2122no—
1527#41—2122no—
1528#41—2122no—
1529#41—2124no—
1530C2×Q8—531no—
1531C2×Q8—531no—
1532C2×Q8—531no—
1533C2×Q8—531no—
1534C2×Q8—1061no—
1535C2×Q8—2122no—
1536C2×Q8—2121no—
1537C2×Q8—2121no—
1538C2×Q8D4×D5311yescharacteristic
1539C2×Q8C23×D5311yescharacteristic
1540C2×D4—21no—
1541C2×D4—21no—
1542C2×D4—21no—
1543C2×D4—21no—
1544C2×D4—21no—
1545C2×D4—21no—
1546C2×D4—21no—
1547C2×D4—21no—
1548C2×D4—41no—
1549C2×D4—41no—
1550C2×D4—531no—
1551C2×D4—531no—
1552C2×D4—531no—
1553C2×D4—531no—
1554C2×D4—531no—
1555C2×D4—531no—
1556C2×D4—531no—
1557C2×D4—531no—
1558C2×D4—531no—
1559C2×D4—531no—
1560C2×D4—531no—
1561C2×D4—531no—
1562C2×D4—1061no—
1563C2×D4—1061no—
1564C2×D4—1061no—
1565C2×D4—1061no—
1566C2×D4—1061no—
1567C2×D4—1061no—
1568C2×D4—1061no—
1569C2×D4—1062no—
1570C2×D4—1062no—
1571C2×D4—1062no—
1572C2×D4—1062no—
1573C2×D4—1061no—
1574C2×D4—1061no—
1575C2×D4—1061no—
1576C2×D4—1061no—
1577C2×D4—1061no—
1578C2×D4—1061no—
1579C2×D4—1061no—
1580C2×D4—1061no—
1581C2×D4—1061no—
1582C2×D4—1061no—
1583C2×D4—1061no—
1584C2×D4—1061no—
1585C2×D4—1061no—
1586C2×D4—1061no—
1587C2×D4—1061no—
1588C2×D4—1061no—
1589C2×D4—1061no—
1590C2×D4—1061no—
1591C2×D4—1061no—
1592C2×D4—1061no—
1593C2×D4—4242no—
1594C2×D4—4242no—
1595C2×D4—4242no—
1596C2×D4—4242no—
1597C2×D4—2121no—
1598C2×D4—2121no—
1599C2×D4—2121no—
1600C2×D4—2121no—
1601C2×D4—2121no—
1602C2×D4—2121no—
1603C2×D4—2121no—
1604C2×D4—2121no—
1605C2×D4—2122no—
1606C2×D4—2122no—
1607C2×D4—2122no—
1608C2×D4—2124no—
1609C2×D4—2124no—
1610C2×D4—2124no—
1611C2×D4—2124no—
1612C2×D4D4×D5311yescharacteristic
1613C2×D4D4×D5311yescharacteristic
1614C2×D4D4×D5311yescharacteristic
1615C2×D4C23×D5311yescharacteristic
1616C2×D4C23×D5311yescharacteristic
1617C2×D4C23×D5311yescharacteristic
1618C22×C4—21no—
1619C22×C4—21no—
1620C22×C4—531no—
1621C22×C4—531no—
1622C22×C4—531no—
1623C22×C4—531no—
1624C22×C4—531no—
1625C22×C4—531no—
1626C22×C4—531no—
1627C22×C4—531no—
1628C22×C4—531no—
1629C22×C4—531no—
1630C22×C4—531no—
1631C22×C4—531no—
1632C22×C4—531no—
1633C22×C4—1062no—
1634C22×C4—1062no—
1635C22×C4—1062no—
1636C22×C4—1062no—
1637C22×C4—1062no—
1638C22×C4—1062no—
1639C22×C4—1061no—
1640C22×C4—1061no—
1641C22×C4—1061no—
1642C22×C4—1061no—
1643C22×C4—1061no—
1644C22×C4—1061no—
1645C22×C4—1061no—
1646C22×C4—2124no—
1647C22×C4C23×D5311yescharacteristic
1648C22×C4C23×D5311yescharacteristic
1649C22×C4C23×D5311yescharacteristic
1650SD16—41no—
1651SD16—41no—
1652SD16—2121no—
1653SD16—2121no—
1654SD16—2121no—
1655SD16—2121no—
1656SD16—2121no—
1657SD16—2121no—
1658D8—41no—
1659D8—41no—
1660D8—2121no—
1661D8—2121no—
1662D8—2121no—
1663D8—2121no—
1664D8—2121no—
1665D8—2121no—
1666M16—41no—
1667M16—1062no—
1668M16—1062no—
1669M16—1062no—
1670M16—1062no—
1671M16—2121no—
1672M16—2121no—
1673M16—2121no—
1674C2×C8—41no—
1675C2×C8—531no—
1676C2×C8—531no—
1677C2×C8—531no—
1678C2×C8—531no—
1679C2×C8—2121no—
1680C2×C8—2121no—
1681C2×C8—2121no—
1682C2×C8C23×D5311yescharacteristic
1683C2×C8C23×D5311yescharacteristic
1684C2×C8C23×D5311yescharacteristic
1685C2×C8C23×D5311yescharacteristic
1686C4⋊C4—21no—
1687C4⋊C4—21no—
1688C4⋊C4—21no—
1689C4⋊C4—531no—
1690C4⋊C4—531no—
1691C4⋊C4—531no—
1692C4⋊C4—531no—
1693C4⋊C4—1061no—
1694C4⋊C4—1061no—
1695C4⋊C4—1061no—
1696C4⋊C4—1061no—
1697C4⋊C4—1061no—
1698C4⋊C4—1061no—
1699C4⋊C4—1061no—
1700C4⋊C4—1061no—
1701C4⋊C4—1061no—
1702C4⋊C4C23×D5311yescharacteristic
1703C4⋊C4C23×D5311yescharacteristic
1704C4⋊C4C23×D5311yescharacteristic
1705C4⋊C4C23×D5311yescharacteristic
1706C22⋊C4—21no—
1707C22⋊C4—21no—
1708C22⋊C4—21no—
1709C22⋊C4—21no—
1710C22⋊C4—21no—
1711C22⋊C4—21no—
1712C22⋊C4—21no—
1713C22⋊C4—21no—
1714C22⋊C4—21no—
1715C22⋊C4—1061no—
1716C22⋊C4—1061no—
1717C22⋊C4—1061no—
1718C22⋊C4—1061no—
1719C22⋊C4—1061no—
1720C22⋊C4—1061no—
1721C22⋊C4—1061no—
1722C22⋊C4—1061no—
1723C22⋊C4—1061no—
1724C22⋊C4—1061no—
1725C22⋊C4—1061no—
1726C22⋊C4—1061no—
1727C22⋊C4—1061no—
1728C22⋊C4—1061no—
1729C22⋊C4—1061no—
1730C22⋊C4—1061no—
1731C22⋊C4—1061no—
1732C22⋊C4—1061no—
1733C22⋊C4—1061no—
1734C22⋊C4—1061no—
1735C22⋊C4—1061no—
1736C22⋊C4—1061no—
1737C22⋊C4—1061no—
1738C22⋊C4—1061no—
1739C22⋊C4—1061no—
1740C22⋊C4—1061no—
1741C22⋊C4—1061no—
1742C22⋊C4—1061no—
1743C22⋊C4—1061no—
1744C22⋊C4—1061no—
1745C22⋊C4—1061no—
1746C42—21no—
1747C42—1061no—
1748C42—1061no—
1749C42—1061no—
1750C42—1061no—
1751C42—1061no—
1752C42—1061no—
1753C42—1061no—
1754C23—21no—
1755C23—21no—
1756C23—21no—
1757C23—42no—
1758C23—81no—
1759C23—81no—
1760C23—531no—
1761C23—531no—
1762C23—531no—
1763C23—531no—
1764C23—1062no—
1765C23—1062no—
1766C23—1062no—
1767C23—1061no—
1768C23—1061no—
1769C23—1061no—
1770C23—4241no—
1771C23—4241no—
1772C23—4241no—
1773C23—4241no—
1774C23—4241no—
1775C23—4241no—
1776C23—4241no—
1777C23—4241no—
1778C23—42416no—
1779C23—2121no—
1780C23—2121no—
1781C23—2121no—
1782C23—2121no—
1783C23—2121no—
1784C23—2121no—
1785C23—2122no—
1786C23—2122no—
1787C23—2122no—
1788C23—2122no—
1789C23—2122no—
1790C23—2122no—
1791C23—2122no—
1792C23—2122no—
1793C23—2122no—
1794C23—2122no—
1795C23C2×D4×D5311yescharacteristic
1796C23C2×D4×D5311yescharacteristic
1797C23C2×D4×D5311yescharacteristic
1798Q8—21no—
1799Q8—21no—
1800Q8—41no—
1801Q8—1061no—
1802Q8—1061no—
1803Q8—2121no—
1804Q8—2121no—
1805Q8—2121no—
1806Q8—2122no—
1807D4—21no—
1808D4—21no—
1809D4—21no—
1810D4—21no—
1811D4—21no—
1812D4—21no—
1813D4—41no—
1814D4—41no—
1815D4—41no—
1816D4—42no—
1817D4—42no—
1818D4—81no—
1819D4—81no—
1820D4—81no—
1821D4—81no—
1822D4—81no—
1823D4—81no—
1824D4—1061no—
1825D4—1061no—
1826D4—1061no—
1827D4—1061no—
1828D4—1061no—
1829D4—1061no—
1830D4—4241no—
1831D4—4241no—
1832D4—4241no—
1833D4—4241no—
1834D4—4241no—
1835D4—4241no—
1836D4—4241no—
1837D4—4241no—
1838D4—4241no—
1839D4—4241no—
1840D4—4241no—
1841D4—4241no—
1842D4—4241no—
1843D4—4241no—
1844D4—4241no—
1845D4—4241no—
1846D4—4241no—
1847D4—4241no—
1848D4—2121no—
1849D4—2121no—
1850D4—2121no—
1851D4—2122no—
1852D4—2122no—
1853D4—2122no—
1854D4—2122no—
1855D4—2121no—
1856D4—2121no—
1857D4—2121no—
1858D4—2121no—
1859D4—2121no—
1860D4—2121no—
1861D4—2122no—
1862D4—2122no—
1863D4—2122no—
1864D4—2122no—
1865D4—2122no—
1866C2×C4—21no—
1867C2×C4—21no—
1868C2×C4—21no—
1869C2×C4—21no—
1870C2×C4—21no—
1871C2×C4—21no—
1872C2×C4—21no—
1873C2×C4—21no—
1874C2×C4—21no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—42no—
1878C2×C4—81no—
1879C2×C4—531no—
1880C2×C4—532no—
1881C2×C4—532no—
1882C2×C4—531no—
1883C2×C4—531no—
1884C2×C4—531no—
1885C2×C4—1062no—
1886C2×C4—1062no—
1887C2×C4—1062no—
1888C2×C4—1062no—
1889C2×C4—1062no—
1890C2×C4—1062no—
1891C2×C4—1062no—
1892C2×C4—1062no—
1893C2×C4—1062no—
1894C2×C4—1061no—
1895C2×C4—1061no—
1896C2×C4—1061no—
1897C2×C4—1061no—
1898C2×C4—1061no—
1899C2×C4—1061no—
1900C2×C4—1061no—
1901C2×C4—1061no—
1902C2×C4—1061no—
1903C2×C4—1061no—
1904C2×C4—1061no—
1905C2×C4—4241no—
1906C2×C4—2122no—
1907C2×C4—2122no—
1908C2×C4—2122no—
1909C2×C4—2122no—
1910C2×C4—2122no—
1911C2×C4—2122no—
1912C2×C4C2×D4×D5311yescharacteristic
1913C2×C4C2×D4×D5311yescharacteristic
1914C2×C4C2×D4×D5311yescharacteristic
1915C2×C4C24×D5311yescharacteristic
1916C8—21no—
1917C8—21no—
1918C8—21no—
1919C8—21no—
1920C8—1061no—
1921C8—1061no—
1922C8—1061no—
1923C8—1061no—
1924C22—21no—
1925C22—21no—
1926C22—21no—
1927C22—21no—
1928C22—21no—
1929C22—21no—
1930C22—21no—
1931C22—21no—
1932C22—21no—
1933C22—41no—
1934C22—41no—
1935C22—41no—
1936C22—41no—
1937C22—41no—
1938C22—41no—
1939C22—41no—
1940C22—41no—
1941C22—41no—
1942C22—84no—
1943C22—532no—
1944C22—1061no—
1945C22—1061no—
1946C22—1061no—
1947C22—1061no—
1948C22—1061no—
1949C22—1061no—
1950C22—1061no—
1951C22—1061no—
1952C22—1061no—
1953C22—1061no—
1954C22—1061no—
1955C22—4242no—
1956C22—4242no—
1957C22—4244no—
1958C22—4244no—
1959C22—4244no—
1960C22—4244no—
1961C22—4244no—
1962C22—4244no—
1963C22—2124no—
1964C22—2121no—
1965C22—2121no—
1966C22—2121no—
1967C22—2121no—
1968C22—2121no—
1969C22—2121no—
1970C22—2121no—
1971C22—2121no—
1972C22—2121no—
1973C22C22×D4×D5311yescharacteristic
1974C4—21no—
1975C4—21no—
1976C4—21no—
1977C4—41no—
1978C4—41no—
1979C4—41no—
1980C4—41no—
1981C4—41no—
1982C4—532no—
1983C4—1061no—
1984C4—1061no—
1985C4—1061no—
1986C4—2121no—
1987C4—2121no—
1988C4—2121no—
1989C4—2121no—
1990C4—2121no—
1991C4H(5,𝔽2)×D5311yescharacteristic
1992C4H(5,𝔽2)×D5311yescharacteristic
1993C2—41no—
1994C2—41no—
1995C2—41no—
1996C2—81no—
1997C2—81no—
1998C2—81no—
1999C2—1062no—
2000C2—4241no—
2001C2—4241no—
2002C2—4241no—
2003C2—2121no—
2004C2—2121no—
2005C2—2121no—
2006C2#534×D5311yescharacteristic
2007C2#2028949011yescharacteristic
2008C2#2028949311yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3198C2
socleC22×C53C23×D4
hypercenter#3198D53
hypocenterC53#60753
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3198

Complements

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

NH ≅ G/Ntype
1. #20288043C2semidirect
2. #535×D53C2semidirect
3. #20285586C2semidirect
4. #20285584C2semidirect
5. #20285583C2semidirect
6. #20285581C2semidirect
7. #20285579C2semidirect
8. #20285578C2semidirect
9. #20285577C2semidirect
10. #20285575C2semidirect
11. #20285574C2semidirect
12. #20285572C2semidirect
13. #20285569C2semidirect
14. #20285567C2semidirect
15. #20285566C2semidirect
16. #20285564C2semidirect
17. #20285561C2semidirect
18. #20284652C2semidirect
19. #20284650C2semidirect
20. #20284647C2semidirect
21. #20284643C2semidirect
22. #20284333C2semidirect
23. #20284331C2semidirect
24. #20284329C2semidirect
25. #20284327C2semidirect
26. #20283964C2semidirect
27. #20283964C2semidirect
28. #20283943C2semidirect
29. #20283939C2semidirect
30. #20283157C2semidirect
31. C53×#3198C2semidirect
33. C2×#41×D53C22semidirect
34. C22×D4×D53C22semidirect
39. C22×#11719912C22semidirect
40. C2×M16×D53C22semidirect
41. #16811204C22semidirect
42. #16811201C22semidirect
43. #16811201C22semidirect
45. #16811196C22semidirect
46. #16811196C22semidirect
53. #16811189C22semidirect
54. #16811189C22semidirect
55. #16811189C22semidirect
56. #16811189C22semidirect
59. #16811187C22semidirect
69. #16811136C22semidirect
72. #16811133C22semidirect
75. #121×D53C22semidirect
76. #121×D53C22semidirect
79. C2×#13133175C22semidirect
80. #117×D53C22semidirect
81. #16810967C22semidirect
82. #16810966C22semidirect
83. #16810965C22semidirect
84. #16810964C22semidirect
85. #16810963C22semidirect
86. #16810962C22semidirect
87. #16810961C22semidirect
88. #16810950C22semidirect
89. #16810950C22semidirect
90. #16810950C22semidirect
91. #16810949C22semidirect
92. #16810949C22semidirect
93. #16810949C22semidirect
94. #16810948C22semidirect
95. #16810947C22semidirect
96. #16810946C22semidirect
97. #16810946C22semidirect
98. #16810946C22semidirect
99. #16810945C22semidirect
100. #16810945C22semidirect
101. #16810945C22semidirect
102. #16810944C22semidirect
103. #16810942C22semidirect
104. #16810941C22semidirect
105. #16810939C22semidirect
106. #16810937C22semidirect
107. #16810936C22semidirect
108. #16810934C22semidirect
109. #16810877C22semidirect
110. #16810876C22semidirect
111. #16810875C22semidirect
112. #16810875C22semidirect
113. #16810874C22semidirect
114. #16810874C22semidirect
115. #16810873C22semidirect
116. #16810872C22semidirect
117. #16810871C22semidirect
118. #16810870C22semidirect
119. #16810869C22semidirect
120. #16810868C22semidirect
121. #16810867C22semidirect
122. #16810866C22semidirect
123. #16810860C22semidirect
124. #16810859C22semidirect
125. #16810858C22semidirect
126. #16810858C22semidirect
127. #16810857C22semidirect
128. #16810857C22semidirect
129. #16810856C22semidirect
130. #16810855C22semidirect
131. #16810854C22semidirect
132. #16810853C22semidirect
133. #16810852C22semidirect
134. #16810851C22semidirect
135. #16810850C22semidirect
136. #16810849C22semidirect
137. #16810776C22semidirect
138. #16810775C22semidirect
139. #16810775C22semidirect
140. #16810774C22semidirect
141. #16810773C22semidirect
142. #16810772C22semidirect
143. #16810772C22semidirect
144. #16810770C22semidirect
145. #16810770C22semidirect
146. #16810768C22semidirect
147. #16810768C22semidirect
148. #16810766C22semidirect
149. #16810766C22semidirect
150. #16810763C22semidirect
151. #16810763C22semidirect
152. #16810760C22semidirect
153. #16810760C22semidirect
154. #16810759C22semidirect
155. #16810758C22semidirect
156. #16810758C22semidirect
157. #16810758C22semidirect
158. #16810758C22semidirect
159. #16810757C22semidirect
160. #16810756C22semidirect
161. #16810755C22semidirect
162. #16810755C22semidirect
163. #16810755C22semidirect
164. #16810755C22semidirect
165. #16810664C22semidirect
166. #16810664C22semidirect
167. #16810662C22semidirect
168. #16810662C22semidirect
169. #16810626C22semidirect
170. #16810626C22semidirect
171. #16810626C22semidirect
172. #16810626C22semidirect
173. #16810623C22semidirect
174. #16810623C22semidirect
175. #16810621C22semidirect
176. #16810621C22semidirect
177. #16810591C22semidirect
178. #16810590C22semidirect
179. #16810589C22semidirect
180. #16810588C22semidirect
181. #16810588C22semidirect
182. #16810588C22semidirect
183. #16810588C22semidirect
184. #16810585C22semidirect
185. #16810585C22semidirect
186. #16810585C22semidirect
187. #16810585C22semidirect
188. C53×#537C22semidirect
189. C53×#535C22semidirect
190. C53×#485C22semidirect
191. C53×#482C22semidirect
192. C53×#481C22semidirect
193. C53×#480C22semidirect
194. C53×#469C22semidirect
195. C53×#468C22semidirect
196. C53×#466C22semidirect
197. C53×#465C22semidirect
198. C53×#450C22semidirect
199. C53×#449C22semidirect
200. C53×#449C22semidirect
201. C53×#447C22semidirect
202. C53×#408C22semidirect
210. C2×#11719945C23semidirect
221. C2×Q8×D53C23semidirect
240. C2×D4×D53C23semidirect
261. C2×#11719917C23semidirect
267. C2×#11719912C23semidirect
268. C2×#11719912C23semidirect
270. C22×#88322C23semidirect
271. C2×C8×D53C23semidirect
272. C2×C8×D53C23semidirect
305. #13133197C23semidirect
308. #13133196C23semidirect
311. #13133193C23semidirect
318. #13133192C23semidirect
327. #13133191C23semidirect
346. #13133188C23semidirect
384. #13133175C23semidirect
385. #13133175C23semidirect
388. C2×C4⋊Dic53C23semidirect
399. #13133151C23semidirect
400. #13133151C23semidirect
401. #13133150C23semidirect
402. #13133150C23semidirect
403. #13133150C23semidirect
404. #13133150C23semidirect
405. #13133149C23semidirect
406. #13133149C23semidirect
407. #13133148C23semidirect
408. #13133148C23semidirect
409. #13133148C23semidirect
410. #13133148C23semidirect
411. #13133142C23semidirect
412. #13133142C23semidirect
413. #13133141C23semidirect
414. #13133141C23semidirect
415. #13133140C23semidirect
416. #13133140C23semidirect
421. #13133139C23semidirect
422. #13133139C23semidirect
427. #13133138C23semidirect
428. #13133138C23semidirect
433. #13133137C23semidirect
434. #13133137C23semidirect
437. C22⋊#88322C23semidirect
438. C22⋊#88322C23semidirect
443. #13133129C23semidirect
444. #13133129C23semidirect
445. #13133129C23semidirect
446. #13133129C23semidirect
448. C2×#41×C53C23semidirect
454. C2×M16×C53C23semidirect
455. C22×C8×C53C23semidirect
460. C22⋊Q8×C53C23semidirect
469. #121×C53C23semidirect
473. C2×C4⋊C4×C53C23semidirect
474. #107×C53C23semidirect
475. #107×C53C23semidirect
476. #106×C53C23semidirect
477. #106×C53C23semidirect
478. #103×C53C23semidirect
479. #103×C53C23semidirect
484. #102×C53C23semidirect
485. #102×C53C23semidirect
488. C22⋊C8×C53C23semidirect
489. C22⋊C8×C53C23semidirect
1006. #3198D53semidirect
1048. #537C2×D53semidirect
1066. #535C2×D53semidirect
1094. #485C2×D53semidirect
1110. #482C2×D53semidirect
1114. #481C2×D53semidirect
1118. #480C2×D53semidirect
1126. #469C2×D53semidirect
1134. #468C2×D53semidirect
1142. #466C2×D53semidirect
1150. #465C2×D53semidirect
1158. #450C2×D53semidirect
1165. #449C2×D53semidirect
1166. #449C2×D53semidirect
1182. #447C2×D53semidirect
1202. #408C2×D53semidirect
1207. C53#60753semidirect
1226. C2×#41C22×D53semidirect
1282. C2×M16C22×D53semidirect
1286. C22×C8C22×D53semidirect
1330. C22⋊Q8C22×D53semidirect
1374. #121C22×D53semidirect
1422. C2×C4⋊C4C22×D53semidirect
1437. #107C22×D53semidirect
1438. #107C22×D53semidirect
1445. #106C22×D53semidirect
1446. #106C22×D53semidirect
1453. #103C22×D53semidirect
1454. #103C22×D53semidirect
1477. #102C22×D53semidirect
1478. #102C22×D53semidirect
1493. C22⋊C8C22×D53semidirect
1494. C22⋊C8C22×D53semidirect

Maximal subgroups

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

subgroupindex
#202880432
#535×D532
#202855862
#202855842
#202855832
#202855812
#202855792
#202855782
#202855772
#202855752
#202855742
#202855722
#202855692
#202855672
#202855662
#202855642
#202855612
#202846522
#202846502
#202846472
#202846432
#202843332
#202843312
#202843292
#202843272
#202839642
#202839432
#202839392
#202831572
C53×#31982
#6075353