Finite Group Databasebeta

← #28270342

Subgroups — #28270342

Order 13568.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289038C211yesmaximal, characteristic, complemented
2#20288378C211yesmaximal, characteristic, complemented
3#20286737C211yesmaximal, characteristic, complemented
4#20286719C211yesmaximal, characteristic, complemented
5#20286705C211yesmaximal, characteristic, complemented
6#20286659C211yesmaximal, characteristic, complemented
7#20286605C211yesmaximal, characteristic, complemented
8#20286566C211yesmaximal, characteristic, complemented
9#20286525C211yesmaximal, characteristic, complemented
10#20286472C211yesmaximal, characteristic, complemented
11#20286428C211yesmaximal, characteristic, complemented
12#20286396C211yesmaximal, characteristic, complemented
13#20286385C211yesmaximal, characteristic, complemented
14#20286260C211yesmaximal, characteristic, complemented
15#20286259C211yesmaximal, characteristic, complemented
16#20286217C211yesmaximal, characteristic, complemented
17#20286197C211yesmaximal, characteristic, complemented
18#20285810C211yesmaximal, characteristic, complemented
19#20285762C211yesmaximal, characteristic, complemented
20#20285613C211yesmaximal, characteristic, complemented
21#20285573C211yesmaximal, characteristic, complemented
22#20285484C211yesmaximal, characteristic, complemented
23#20285462C211yesmaximal, characteristic, complemented
24#20284982C211yesmaximal, characteristic, complemented
25#20284918C211yesmaximal, characteristic, complemented
26#20284014C211yesmaximal, characteristic, complemented
27#20283984C211yesmaximal, characteristic, complemented
28#20283935C211yesmaximal, characteristic, complemented
29#449×D53C211yesmaximal, characteristic, complemented
30#20283766C211yesmaximal, characteristic, complemented
31C53×#3319C211yesmaximal, characteristic, complemented
32C2×#13133262C2211yescharacteristic, complemented
33C2×#41×D53C2211yescharacteristic, complemented
34C2×#13133245C2211yescharacteristic, complemented
35C2×#13133241C2211yescharacteristic, complemented
36C2×#13133239C2211yescharacteristic, complemented
37C2×#13133237C2211yescharacteristic, complemented
38C2×#13133236C2211yescharacteristic, complemented
39C2×SD16×D53C2211yescharacteristic, complemented
40C22×#11719922C2211yescharacteristic, complemented
41C2×D8×D53C2211yescharacteristic, complemented
42#16811367—21no—
43#16811361—21no—
44#16811317C2211yescharacteristic, complemented
45#16811312C2211yescharacteristic, complemented
46#16811297—21no—
47#16811294C2211yescharacteristic, complemented
48#16811291C2211yescharacteristic, complemented
49#16811291C2211yescharacteristic, complemented
50#16811283C2211yescharacteristic
51#16811281C2211yescharacteristic, complemented
52#16811276C2211yescharacteristic, complemented
53#16811269C2211yescharacteristic, complemented
54#16811268C2211yescharacteristic, complemented
55#16811266—21no—
56#16811265—21no—
57#16811263—21no—
58#16811261C2211yescharacteristic, complemented
59D4×D212C2211yescharacteristic, complemented
60#16811257—21no—
61#16811257C2211yescharacteristic, complemented
62D4×C22⋊D53C2211yescharacteristic
63#16811255—21no—
64#16811247C2211yescharacteristic, complemented
65#16811228—21no—
66#16811224C2211yescharacteristic, complemented
67#16811207—21no—
68#16811203C2211yescharacteristic, complemented
69#16811202C2211yescharacteristic, complemented
70#16811200—21no—
71#16811192C2211yescharacteristic, complemented
72#16811191—21no—
73#16811191C2211yescharacteristic, complemented
74#16811188—21no—
75#16811181—21no—
76#16811135C2211yescharacteristic, complemented
77#16811132C2211yescharacteristic
78#16811131—21no—
79C2×#13133190—21no—
80#121×D53C2211yescharacteristic, complemented
81#121×D53C2211yescharacteristic, complemented
82#16811102C2211yescharacteristic, complemented
83#16811012C2211yescharacteristic, complemented
84#16811009C2211yescharacteristic, complemented
85#16811005C2211yescharacteristic, complemented
86#16810998C2211yescharacteristic, complemented
87#16810986C2211yescharacteristic, complemented
88#16810979C2211yescharacteristic, complemented
89#16810971C2211yescharacteristic, complemented
90#16810960C2211yescharacteristic, complemented
91#16810957C2211yescharacteristic, complemented
92#16810947C2211yescharacteristic, complemented
93#16810947C2211yescharacteristic, complemented
94#16810943C2211yescharacteristic, complemented
95#16810938C2211yescharacteristic, complemented
96#16810938C2211yescharacteristic, complemented
97#16810938C2211yescharacteristic, complemented
98#16810935C2211yescharacteristic, complemented
99#16810935C2211yescharacteristic, complemented
100#16810933C2211yescharacteristic, complemented
101#16810921C2211yescharacteristic, complemented
102#16810915C2211yescharacteristic, complemented
103#16810877C2211yescharacteristic, complemented
104#16810872C2211yescharacteristic, complemented
105#16810869C2211yescharacteristic, complemented
106#16810862C2211yescharacteristic, complemented
107#16810860C2211yescharacteristic, complemented
108#16810860C2211yescharacteristic, complemented
109#16810859C2211yescharacteristic, complemented
110#16810858C2211yescharacteristic, complemented
111#16810857C2211yescharacteristic, complemented
112#16810857C2211yescharacteristic, complemented
113#16810857C2211yescharacteristic, complemented
114#16810855C2211yescharacteristic, complemented
115#16810853C2211yescharacteristic, complemented
116#16810851C2211yescharacteristic, complemented
117#16810848C2211yescharacteristic, complemented
118#16810846C2211yescharacteristic, complemented
119#16810841C2211yescharacteristic, complemented
120#16810838C2211yescharacteristic, complemented
121#16810835C2211yescharacteristic, complemented
122#16810822C2211yescharacteristic, complemented
123#16810822C2211yescharacteristic, complemented
124#16810819C2211yescharacteristic, complemented
125#16810818C2211yescharacteristic, complemented
126#16810817C2211yescharacteristic, complemented
127#16810816C2211yescharacteristic, complemented
128#16810788C2211yescharacteristic, complemented
129#16810787C2211yescharacteristic, complemented
130#16810786C2211yescharacteristic, complemented
131#16810782C2211yescharacteristic, complemented
132#16810780C2211yescharacteristic, complemented
133#16810775C2211yescharacteristic, complemented
134#16810775C2211yescharacteristic, complemented
135#16810774C2211yescharacteristic, complemented
136#16810773C2211yescharacteristic, complemented
137#16810771C2211yescharacteristic, complemented
138#16810771C2211yescharacteristic, complemented
139#16810770C2211yescharacteristic, complemented
140#16810770C2211yescharacteristic, complemented
141#16810769C2211yescharacteristic
142#16810769C2211yescharacteristic, complemented
143#16810769C2211yescharacteristic, complemented
144#16810769C2211yescharacteristic, complemented
145#16810769C2211yescharacteristic, complemented
146#16810768C2211yescharacteristic, complemented
147#16810767C2211yescharacteristic, complemented
148#16810766C2211yescharacteristic, complemented
149#16810766C2211yescharacteristic, complemented
150#16810766C2211yescharacteristic, complemented
151#16810765C2211yescharacteristic, complemented
152#16810763C2211yescharacteristic, complemented
153#16810759C2211yescharacteristic, complemented
154#16810758C2211yescharacteristic, complemented
155#16810758C2211yescharacteristic, complemented
156#16810758C2211yescharacteristic, complemented
157#16810758C2211yescharacteristic, complemented
158#16810758C2211yescharacteristic, complemented
159#16810758C2211yescharacteristic, complemented
160#16810755C2211yescharacteristic, complemented
161#16810755C2211yescharacteristic, complemented
162#16810725C2211yescharacteristic, complemented
163#16810722C2211yescharacteristic, complemented
164#16810720C2211yescharacteristic, complemented
165#16810717C2211yescharacteristic, complemented
166C4×#11719923C2211yescharacteristic, complemented
167C4×#11719922C2211yescharacteristic, complemented
168#16810703C2211yescharacteristic, complemented
169#16810696C2211yescharacteristic, complemented
170#16810692C2211yescharacteristic, complemented
171#16810691C2211yescharacteristic, complemented
172D4×#88322C2211yescharacteristic, complemented
173#16810688C2211yescharacteristic, complemented
174C8×C22⋊D53C2211yescharacteristic, complemented
175#16810686C2211yescharacteristic, complemented
176#16810685C2211yescharacteristic, complemented
177#16810683C2211yescharacteristic, complemented
178#16810621C2211yescharacteristic, complemented
179#16810617C2211yescharacteristic, complemented
180#16810617C2211yescharacteristic, complemented
181#103×D53C2211yescharacteristic, complemented
182#102×D53C2211yescharacteristic, complemented
183#102×D53C2211yescharacteristic, complemented
184#16810591C2211yescharacteristic, complemented
185#16810588C2211yescharacteristic, complemented
186C2×#13133129C2211yescharacteristic, complemented
187C22⋊C8×D53C2211yescharacteristic, complemented
188C53×#555C2211yescharacteristic, complemented
189C53×#546C2211yescharacteristic, complemented
190C53×#489C2211yescharacteristic, complemented
191C53×#485C2211yescharacteristic, complemented
192C53×#482C2211yescharacteristic, complemented
193C53×#474C2211yescharacteristic, complemented
194C53×#468C2211yescharacteristic, complemented
195C53×#466C2211yescharacteristic, complemented
196C53×#463C2211yescharacteristic, complemented
197C53×#449C2211yescharacteristic, complemented
198C53×#447C2211yescharacteristic, complemented
199C53×#442C2211yescharacteristic, complemented
200C53×#435C2211yescharacteristic, complemented
201C53×#418C2211yescharacteristic, complemented
202C53×#416C2211yescharacteristic, complemented
203#13133262—42no—
204#13133262—42no—
205C2×#11719949—21no—
206C2×#11719949C2311yescharacteristic
207C2×#11719945—21no—
208C2×#11719945C2311yescharacteristic
209C2×#11719945C2311yescharacteristic
210C2×#11719945C2311yescharacteristic
211C2×#11719945C2311yescharacteristic
212C2×#11719947—21no—
213C2×#11719947—21no—
214C2×#11719947C2311yescharacteristic
215C2×#11719947C2311yescharacteristic
216C2×#11719947C2311yescharacteristic
217#41×D53—42no—
218#41×D53—42no—
219C2×Q8×D53C2311yescharacteristic
220C22×D212—21no—
221C22×D212C2311yescharacteristic
222C22×C22⋊D53—21no—
223C22×C22⋊D53—21no—
224C22×C22⋊D53—21no—
225C2×D4×D53—21no—
226C2×D4×D53—21no—
227C2×D4×D53—21no—
228C2×D4×D53—21no—
229C2×D4×D53—21no—
230C2×D4×D53C2311yescharacteristic
231C2×D4×D53C2311yescharacteristic
232C2×D4×D53C2311yescharacteristic
233C2×D4×D53C2311yescharacteristic
234C22×C4×D53—21no—
235C22×C4×D53C2311yescharacteristic
236#13133245—42no—
237#13133241—42no—
238#13133239—42no—
239#13133237—42no—
240#13133236—42no—
241C2×Dic212C2311yescharacteristic
242C2×#11719925C2311yescharacteristic
243C2×#11719913C2311yescharacteristic
244C2×#11719913C2311yescharacteristic
245C2×#11719913C2311yescharacteristic
246C2×#11719913C2311yescharacteristic
247C2×#11719923C2311yescharacteristic
248C2×#11719923C2311yescharacteristic
249C2×#11719923C2311yescharacteristic
250C2×#11719924C2311yescharacteristic
251C2×#11719924C2311yescharacteristic
252SD16×D53—42no—
253C2×D424C2311yescharacteristic
254C2×D424C2311yescharacteristic
255C2×D424C2311yescharacteristic
256C2×D424C2311yescharacteristic
257C2×#11719922—42no—
258C2×#11719922C2311yescharacteristic
259C2×#11719922C2311yescharacteristic
260C2×#11719922C2311yescharacteristic
261C2×#11719922C2311yescharacteristic
262C2×#11719922C2311yescharacteristic
263C2×#11719922C2311yescharacteristic
264D8×D53—42no—
265C2×#11719912C2311yescharacteristic
266C22×#88322C2311yescharacteristic
267C22×#88322C2311yescharacteristic
268C2×C8×D53C2311yescharacteristic
269C2×C8×D53C2311yescharacteristic
270C2×C8×D53C2311yescharacteristic
271#13133214—21no—
272#13133214C2311yescharacteristic
273#13133213—21no—
274#13133213—21no—
275#13133213—21no—
276#13133213C2311yescharacteristic
277#13133213C2311yescharacteristic
278#13133212—21no—
279#13133211—21no—
280#13133210—21no—
281#13133209—21no—
282#13133208C2311yescharacteristic
283#13133206—21no—
284#13133206C2311yescharacteristic
285#13133205—21no—
286#13133205C2311yescharacteristic
287#13133203—21no—
288#13133203—21no—
289#13133202—21no—
290#13133202—21no—
291#13133202—21no—
292#13133202—21no—
293#13133202D411yescharacteristic
294#13133201—21no—
295#13133201—21no—
296#13133200—21no—
297#13133200—21no—
298#13133199—21no—
299#13133199—21no—
300#13133199—21no—
301#13133199D411yescharacteristic
302#13133197C2311yescharacteristic
303#13133197C2311yescharacteristic
304#13133196C2311yescharacteristic
305#13133195—21no—
306#13133195—21no—
307#13133195D411yescharacteristic
308#13133194—21no—
309#13133194—21no—
310#13133194D411yescharacteristic
311#13133193—21no—
312#13133193—21no—
313#13133193C2311yescharacteristic
314#13133192—21no—
315#13133192C2311yescharacteristic
316#13133192C2311yescharacteristic
317#13133192C2311yescharacteristic
318#13133192C2311yescharacteristic
319#13133192C2311yescharacteristic
320#13133192C2311yescharacteristic
321#13133192C2311yescharacteristic
322#13133191—21no—
323#13133191—21no—
324#13133191—21no—
325#13133191C2311yescharacteristic
326#13133191C2311yescharacteristic
327#13133191C2311yescharacteristic
328#13133190—21no—
329#13133190—21no—
330#13133190—21no—
331#13133190—21no—
332#13133190—21no—
333#13133190—21no—
334#13133190—21no—
335#13133190—21no—
336#13133190—21no—
337#13133190—21no—
338#13133190—21no—
339#13133190—21no—
340#13133190—21no—
341#13133190—21no—
342#13133190—21no—
343#13133190—21no—
344#13133190—21no—
345#13133190D411yescharacteristic
346#13133189—21no—
347#13133189—21no—
348#13133189—21no—
349#13133189—21no—
350#13133189—21no—
351#13133189—21no—
352#13133189—21no—
353#13133189D411yescharacteristic
354#13133188—21no—
355#13133188C2311yescharacteristic
356#13133188C2311yescharacteristic
357#13133187—21no—
358#13133187—21no—
359#13133187—21no—
360#13133187—21no—
361#13133187—21no—
362#13133187—21no—
363#13133187—21no—
364#13133187—21no—
365#13133187—21no—
366#13133187D411yescharacteristic
367#13133186—21no—
368#13133185—21no—
369#13133185—21no—
370#13133185—21no—
371#13133185—21no—
372#13133185D411yescharacteristic
373C4×Dic106C2311yescharacteristic
374#13133182C2311yescharacteristic
375#13133182C2311yescharacteristic
376C4×D212—21no—
377C4×D212—21no—
378C4×D212—21no—
379C4×D212C2311yescharacteristic
380C4×D212C2311yescharacteristic
381D4×Dic53C2311yescharacteristic
382#13133179—21no—
383#13133179—21no—
384#13133179C2311yescharacteristic
385C4×C22⋊D53—21no—
386C4×C22⋊D53C2311yescharacteristic
387C4×C22⋊D53C2311yescharacteristic
388#13133177—21no—
389#13133177—21no—
390#13133177—21no—
391#13133177—21no—
392#13133174—21no—
393#13133174C2311yescharacteristic
394#13133173—21no—
395C2×#11719919—21no—
396C4⋊C4×D53C2311yescharacteristic
397C4⋊C4×D53C2311yescharacteristic
398C4⋊C4×D53C2311yescharacteristic
399C2×#11719921—21no—
400C2×#11719921—21no—
401C22⋊C4×D53—21no—
402C22⋊C4×D53—21no—
403C22⋊C4×D53—21no—
404#13133151C2311yescharacteristic
405#13133150C2311yescharacteristic
406#13133150C2311yescharacteristic
407#13133150C2311yescharacteristic
408#13133148C2311yescharacteristic
409C4⋊#88322C2311yescharacteristic
410#13133146C2311yescharacteristic
411#13133146C2311yescharacteristic
412#13133142C2311yescharacteristic
413#13133142C2311yescharacteristic
414#13133141C2311yescharacteristic
415#13133140C2311yescharacteristic
416#13133140C2311yescharacteristic
417#13133140C2311yescharacteristic
418#13133140C2311yescharacteristic
419#13133139C2311yescharacteristic
420#13133139C2311yescharacteristic
421#13133139C2311yescharacteristic
422#13133139C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133138C2311yescharacteristic
425#13133138C2311yescharacteristic
426#13133137C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429#13133137C2311yescharacteristic
430#13133137C2311yescharacteristic
431#13133137C2311yescharacteristic
432#13133137C2311yescharacteristic
433#13133137C2311yescharacteristic
434C22⋊#88322C2311yescharacteristic
435C22⋊#88322C2311yescharacteristic
436#13133129C2311yescharacteristic
437#13133129C2311yescharacteristic
438#13133129C2311yescharacteristic
439#13133129C2311yescharacteristic
440#13133129C2311yescharacteristic
441#13133129C2311yescharacteristic
442#13133129C2311yescharacteristic
443#13133129C2311yescharacteristic
444#13133127C2311yescharacteristic
445C4×#88322C2311yescharacteristic
446C8×Dic53C2311yescharacteristic
447C2×#41×C53C2311yescharacteristic
448C22×D4×C53C2311yescharacteristic
449C2×SD16×C53C2311yescharacteristic
450C2×D8×C53C2311yescharacteristic
451C2×D8×C53C2311yescharacteristic
452C2×M16×C53C2311yescharacteristic
453C22×C8×C53C2311yescharacteristic
454C4⋊Q8×C53C2311yescharacteristic
455#124×C53—21no—
456#124×C53—21no—
457#124×C53C2311yescharacteristic
458#123×C53—21no—
459C22⋊Q8×C53C2311yescharacteristic
460#121×C53—21no—
461#121×C53—21no—
462#121×C53C2311yescharacteristic
463#121×C53C2311yescharacteristic
464#121×C53C2311yescharacteristic
465#120×C53—21no—
466C4×D4×C53C2311yescharacteristic
467C4×D4×C53C2311yescharacteristic
468C4×D4×C53C2311yescharacteristic
469#117×C53—21no—
470#117×C53C2311yescharacteristic
471#117×C53C2311yescharacteristic
472C2×C22⋊C4×C53—21no—
473#107×C53C2311yescharacteristic
474#107×C53C2311yescharacteristic
475#106×C53C2311yescharacteristic
476C4⋊C8×C53C2311yescharacteristic
477#103×C53C2311yescharacteristic
478#103×C53C2311yescharacteristic
479#103×C53C2311yescharacteristic
480#102×C53C2311yescharacteristic
481#102×C53C2311yescharacteristic
482#102×C53C2311yescharacteristic
483#102×C53C2311yescharacteristic
484#102×C53C2311yescharacteristic
485#102×C53C2311yescharacteristic
486#102×C53C2311yescharacteristic
487C22⋊C8×C53C2311yescharacteristic
488C22⋊C8×C53C2311yescharacteristic
489#97×C53C2311yescharacteristic
490C24×C53—21no—
491C23×D53—21no—
492C23×D53—21no—
493C23×D53—21no—
494C23×D53—21no—
495C23×D53—21no—
496C23×D53C2×D411yescharacteristic
497#41×C53—22no—
498#41×C53—41no—
499C2×Q8×C53—21no—
500C2×Q8×C53C2411yescharacteristic
501C2×D4×C53—22no—
502C2×D4×C53—21no—
503C2×D4×C53—21no—
504C2×D4×C53—21no—
505C2×D4×C53—21no—
506C2×D4×C53—21no—
507C2×D4×C53—41no—
508C2×D4×C53C2×D411yescharacteristic
509C2×D4×C53C2411yescharacteristic
510C2×D4×C53C2411yescharacteristic
511C2×D4×C53C2411yescharacteristic
512C22×C4×C53—21no—
513C22×C4×C53—21no—
514C22×C4×C53—21no—
515C22×C4×C53C2411yescharacteristic
516C22×C4×C53C2411yescharacteristic
517C2×C22⋊D53—21no—
518C2×C22⋊D53—21no—
519C2×C22⋊D53—21no—
520C2×C22⋊D53—21no—
521C2×C22⋊D53—21no—
522C2×C22⋊D53—21no—
523C2×C22⋊D53—21no—
524C2×C22⋊D53—21no—
525C2×C22⋊D53—21no—
526C2×C22⋊D53—21no—
527C2×C22⋊D53—21no—
528C2×C22⋊D53—21no—
529C2×C22⋊D53—21no—
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—44no—
537C2×C22⋊D53—44no—
538C2×C22⋊D53—82no—
539C2×C22⋊D53C2×D411yescharacteristic
540C2×C22⋊D53C2×D411yescharacteristic
541C2×C22⋊D53C2×D411yescharacteristic
542C2×C22⋊D53C2×D411yescharacteristic
543C22×Dic53—21no—
544C22×Dic53—21no—
545C22×Dic53—21no—
546C22×Dic53—21no—
547C22×Dic53C2×D411yescharacteristic
548#11719949—41no—
549#11719949—41no—
550#11719949—82no—
551Q8×D53—22no—
552Q8×D53—41no—
553#11719947—22no—
554#11719947—22no—
555#11719947—22no—
556#11719947—41no—
557#11719947—41no—
558#11719947—41no—
559#11719947—44no—
560#11719947—44no—
561D4×D53—22no—
562D4×D53—22no—
563D4×D53—41no—
564D4×D53—41no—
565D4×D53—41no—
566D4×D53—41no—
567D4×D53—41no—
568D4×D53—41no—
569D4×D53—44no—
570D4×D53—44no—
571D4×D53—82no—
572D4×D53—82no—
573D4×D53—82no—
574#11719945—22no—
575#11719945—22no—
576#11719945—41no—
577#11719945—41no—
578#11719945—41no—
579#11719945—41no—
580#11719945—41no—
581#11719945—41no—
582#11719945—44no—
583C2×D212—21no—
584C2×D212—21no—
585C2×D212—21no—
586C2×D212—21no—
587C2×D212—21no—
588C2×D212—21no—
589C2×D212—21no—
590C2×D212—21no—
591C2×D212—21no—
592C2×D212—21no—
593C2×D212—21no—
594C2×D212—41no—
595C2×D212—41no—
596C2×D212—82no—
597C2×D212C2×D411yescharacteristic
598C2×D212C2×D411yescharacteristic
599C2×D212C2411yescharacteristic
600C2×D212C2411yescharacteristic
601C2×D212C2411yescharacteristic
602C2×D212C2411yescharacteristic
603C2×C4×D53—21no—
604C2×C4×D53—21no—
605C2×C4×D53—21no—
606C2×C4×D53—21no—
607C2×C4×D53—21no—
608C2×C4×D53—21no—
609C2×C4×D53—21no—
610C2×C4×D53—21no—
611C2×C4×D53—21no—
612C2×C4×D53—21no—
613C2×C4×D53—41no—
614C2×C4×D53—41no—
615C2×C4×D53—44no—
616C2×C4×D53C2×D411yescharacteristic
617C2×C4×D53C2×D411yescharacteristic
618C2×C4×D53C2411yescharacteristic
619C2×C4×D53C2411yescharacteristic
620C2×C4×D53C2411yescharacteristic
621C2×Dic106—21no—
622C2×Dic106C2×D411yescharacteristic
623C2×Dic106C2411yescharacteristic
624C2×Dic106C2411yescharacteristic
625SD16×C53—41no—
626D8×C53—22no—
627D8×C53—41no—
628M16×C53—41no—
629C2×C8×C53—41no—
630C2×C8×C53C2411yescharacteristic
631C2×C8×C53C2411yescharacteristic
632C2×C8×C53C2411yescharacteristic
633C2×C8×C53C2411yescharacteristic
634C4⋊C4×C53—21no—
635C4⋊C4×C53—21no—
636C4⋊C4×C53C2×D411yescharacteristic
637C4⋊C4×C53C2411yescharacteristic
638C4⋊C4×C53C2411yescharacteristic
639C4⋊C4×C53C2411yescharacteristic
640C4⋊C4×C53C2411yescharacteristic
641C22⋊C4×C53—21no—
642C22⋊C4×C53—21no—
643C22⋊C4×C53—21no—
644C22⋊C4×C53—21no—
645C22⋊C4×C53—21no—
646C22⋊C4×C53—21no—
647C22⋊C4×C53—21no—
648C22⋊C4×C53—21no—
649C22⋊C4×C53—21no—
650C22⋊C4×C53—21no—
651C22⋊C4×C53C2×D411yescharacteristic
652C22⋊C4×C53C2×D411yescharacteristic
653C42×C53—21no—
654C42×C53—21no—
655C42×C53C2411yescharacteristic
656C22⋊Dic53—21no—
657C22⋊Dic53—21no—
658C22⋊Dic53—21no—
659C22⋊Dic53—21no—
660C22⋊Dic53C2×D411yescharacteristic
661C22⋊Dic53C2×D411yescharacteristic
662#11719925—41no—
663#11719924—41no—
664#11719924—41no—
665#11719923—22no—
666#11719923—22no—
667#11719923—41no—
668#11719922—22no—
669#11719922—22no—
670#11719922—41no—
671#11719922—41no—
672#11719922—41no—
673#11719922—41no—
674#11719921—21no—
675#11719921—21no—
676#11719921—21no—
677#11719921—21no—
678#11719921—21no—
679#11719921—21no—
680#11719921—21no—
681#11719921—21no—
682#11719921—21no—
683#11719921—21no—
684#11719921—21no—
685#11719921—21no—
686#11719921—21no—
687#11719921—21no—
688#11719921—21no—
689#11719921—21no—
690#11719921—21no—
691#11719921—21no—
692#11719921—21no—
693#11719921C2×D411yescharacteristic
694#11719921C2×D411yescharacteristic
695#11719921C2×D411yescharacteristic
696#11719921C2×D411yescharacteristic
697#11719921C2×D411yescharacteristic
698#11719921C2×D411yescharacteristic
699C4⋊Dic53—21no—
700C4⋊Dic53—21no—
701C4⋊Dic53—21no—
702C4⋊Dic53C2×D411yescharacteristic
703C4⋊Dic53C2411yescharacteristic
704C4⋊Dic53C2411yescharacteristic
705#11719919—21no—
706#11719919—21no—
707#11719919—21no—
708#11719919—21no—
709#11719919—21no—
710#11719919—21no—
711#11719919—21no—
712#11719919—21no—
713#11719919—21no—
714#11719919C2×D411yescharacteristic
715#11719919C2×D411yescharacteristic
716#11719919C2×D411yescharacteristic
717#11719919C2×D411yescharacteristic
718C4×Dic53—21no—
719C4×Dic53—21no—
720C4×Dic53—21no—
721C4×Dic53C2411yescharacteristic
722C2×#88322—41no—
723C2×#88322—41no—
724C2×#88322C2411yescharacteristic
725C2×#88322C2411yescharacteristic
726C2×#88322C2411yescharacteristic
727C2×#88322C2411yescharacteristic
728Dic212—22no—
729D424—41no—
730D424—41no—
731D424—41no—
732D424—41no—
733#11719913—22no—
734#11719913—22no—
735#11719913—41no—
736#11719913—41no—
737#11719912—41no—
738C8×D53—41no—
739C8×D53—41no—
740C8×D53—41no—
741C23×C53—21no—
742C23×C53—21no—
743C23×C53—21no—
744C23×C53—42no—
745C23×C53—81no—
746C23×C53—81no—
747C23×C53C22×D411yescharacteristic
748C23×C53C22×D411yescharacteristic
749C22×D53—22no—
750C22×D53—21no—
751C22×D53—21no—
752C22×D53—21no—
753C22×D53—21no—
754C22×D53—41no—
755C22×D53—41no—
756C22×D53—42no—
757C22×D53—42no—
758C22×D53—42no—
759C22×D53—42no—
760C22×D53—42no—
761C22×D53—81no—
762C22×D53—81no—
763C22×D53—81no—
764C22×D53—81no—
765C22×D53—81no—
766C22×D53—81no—
767C22×D53—81no—
768C22×D53—81no—
769C22×D53—81no—
770C22×D53—81no—
771C22×D53C22×D411yescharacteristic
772C22×D53C22×D411yescharacteristic
773C22×D53C22×D411yescharacteristic
774Q8×C53—21no—
775Q8×C53—21no—
776Q8×C53—81no—
777D4×C53—21no—
778D4×C53—21no—
779D4×C53—21no—
780D4×C53—21no—
781D4×C53—21no—
782D4×C53—41no—
783D4×C53—42no—
784D4×C53—42no—
785D4×C53—81no—
786D4×C53—81no—
787D4×C53—81no—
788D4×C53H(5,𝔽2)12yes—
789C2×C4×C53—21no—
790C2×C4×C53—21no—
791C2×C4×C53—21no—
792C2×C4×C53—21no—
793C2×C4×C53—21no—
794C2×C4×C53—21no—
795C2×C4×C53—21no—
796C2×C4×C53—21no—
797C2×C4×C53—21no—
798C2×C4×C53—42no—
799C2×C4×C53—81no—
800C2×C4×C53—81no—
801C2×C4×C53C22×D411yescharacteristic
802C2×C4×C53C22×D411yescharacteristic
803C2×C4×C53C22×D411yescharacteristic
804C2×C4×C53C22×D411yescharacteristic
805C2×C4×C53C2511yescharacteristic
806C22⋊D53—24no—
807C22⋊D53—22no—
808C22⋊D53—41no—
809C22⋊D53—41no—
810C22⋊D53—41no—
811C22⋊D53—42no—
812C22⋊D53—42no—
813C22⋊D53—42no—
814C22⋊D53—42no—
815C22⋊D53—42no—
816C22⋊D53—42no—
817C22⋊D53—42no—
818C22⋊D53—81no—
819C22⋊D53—81no—
820C22⋊D53—81no—
821C22⋊D53—81no—
822C22⋊D53—81no—
823C22⋊D53—81no—
824C22⋊D53—81no—
825C22⋊D53—81no—
826C22⋊D53—81no—
827C22⋊D53—81no—
828C22⋊D53—81no—
829C2×Dic53—24no—
830C2×Dic53—21no—
831C2×Dic53—21no—
832C2×Dic53—21no—
833C2×Dic53—21no—
834C2×Dic53—41no—
835C2×Dic53—42no—
836C2×Dic53—81no—
837C2×Dic53—81no—
838C2×Dic53C22×D411yescharacteristic
839C2×Dic53C22×D411yescharacteristic
840C2×Dic53C22×D411yescharacteristic
841C2×Dic53C22×D411yescharacteristic
842C2×Dic53C22×D411yescharacteristic
843D212—22no—
844D212—21no—
845D212—21no—
846D212—21no—
847D212—21no—
848D212—21no—
849D212—21no—
850D212—21no—
851D212—21no—
852D212—41no—
853D212—42no—
854D212—42no—
855D212—42no—
856D212—81no—
857D212—81no—
858D212—81no—
859D212—81no—
860D212—81no—
861D212—81no—
862D212—81no—
863D212—81no—
864C4×D53—21no—
865C4×D53—21no—
866C4×D53—21no—
867C4×D53—21no—
868C4×D53—21no—
869C4×D53—21no—
870C4×D53—41no—
871C4×D53—41no—
872C4×D53—42no—
873C4×D53—42no—
874C4×D53—42no—
875C4×D53—42no—
876C4×D53—42no—
877C4×D53—81no—
878C4×D53—81no—
879C4×D53—81no—
880C4×D53—81no—
881C4×D53—81no—
882Dic106—21no—
883Dic106—21no—
884Dic106—21no—
885Dic106—41no—
886Dic106—42no—
887Dic106H(5,𝔽2)12yes—
888C8×C53—21no—
889C8×C53—21no—
890C8×C53—21no—
891C8×C53—21no—
892#88322—21no—
893#88322—21no—
894#88322—21no—
895#88322—21no—
896#61639—531nomaximal, Sylow
897C22×C53—21no—
898C22×C53—21no—
899C22×C53—22no—
900C22×C53—21no—
901C22×C53—21no—
902C22×C53—21no—
903C22×C53—21no—
904C22×C53—41no—
905C22×C53—41no—
906C22×C53—41no—
907C22×C53—41no—
908C22×C53—41no—
909C22×C53—41no—
910C22×C53—41no—
911C22×C53—41no—
912C22×C53—162no—
913C22×C53C23×D411yescharacteristic
914C2×D53—21no—
915C2×D53—21no—
916C2×D53—21no—
917C2×D53—21no—
918C2×D53—21no—
919C2×D53—21no—
920C2×D53—21no—
921C2×D53—21no—
922C2×D53—41no—
923C2×D53—41no—
924C2×D53—41no—
925C2×D53—41no—
926C2×D53—41no—
927C2×D53—41no—
928C2×D53—41no—
929C2×D53—41no—
930C2×D53—41no—
931C2×D53—41no—
932C2×D53—41no—
933C2×D53—41no—
934C2×D53—82no—
935C2×D53—84no—
936C2×D53—162no—
937C2×D53—162no—
938C2×D53—162no—
939C2×D53—162no—
940C2×D53#57612yes—
941C4×C53—21no—
942C4×C53—21no—
943C4×C53—21no—
944C4×C53—21no—
945C4×C53—41no—
946C4×C53—41no—
947C4×C53—41no—
948C4×C53—41no—
949C4×C53—41no—
950C4×C53C2×H(5,𝔽2)11yescharacteristic
951C4×C53C2×H(5,𝔽2)11yescharacteristic
952Dic53—21no—
953Dic53—22no—
954Dic53—21no—
955Dic53—21no—
956Dic53—21no—
957Dic53—21no—
958Dic53—41no—
959Dic53—41no—
960Dic53—41no—
961#3542—531no—
962#3488—531no—
963#3319D5311yescharacteristic, complemented
964#3310—531no—
965#3309—531no—
966#3308—531no—
967#3305—531no—
968#3300—531no—
969#3297—531no—
970#3294—531no—
971#3287—531no—
972#3282—531no—
973#3280—531no—
974D4×D8—531no—
975#3268—531no—
976#3268—531no—
977#3265—531no—
978#3264—531no—
979#3224—531no—
980#3220—531no—
981#3203—531no—
982#3198—531no—
983#3188—531no—
984#3186—531no—
985#3124—531no—
986#3119—531no—
987#3012—531no—
988#3008—531no—
989#3002—531no—
990C2×#449—531no—
991#2977—531no—
992C2×C53—42no—
993C2×C53—41no—
994C2×C53—41no—
995C2×C53—81no—
996C2×C53—81no—
997C2×C53#348411yescharacteristic
998C2×C53C2×#57611yescharacteristic
999C2×C53#358411yescharacteristic
1000D53—22no—
1001D53—41no—
1002D53—41no—
1003D53—81no—
1004D53—81no—
1005D53—81no—
1006D53—81no—
1007C2×H(5,𝔽2)—531no—
1008C22×#41—531no—
1009C2×AGL(1,ℤ/8)—531no—
1010C2×AGL(1,ℤ/8)—531no—
1011C2×#135—531no—
1012C2×#135—531no—
1013C2×#135—531no—
1014C22×SD16—531no—
1015C22×D8—531no—
1016C22×D8—531no—
1017#562—1061no—
1018#560—1061no—
1019#555C2×D5311yescharacteristic, complemented
1020#553—531no—
1021#552—531no—
1022#551—1061no—
1023#550—531no—
1024#550—531no—
1025#550—531no—
1026#548—531no—
1027#548—531no—
1028#547—531no—
1029#546—531no—
1030#546—531no—
1031#546—531no—
1032#546—1061no—
1033#546—1061no—
1034#546—1061no—
1035#546C2×D5311yescharacteristic, complemented
1036D42—531no—
1037D42—531no—
1038D42—531no—
1039D42—1061no—
1040D42—1061no—
1041#542—531no—
1042#540—531no—
1043#540—1061no—
1044#538—1061no—
1045#537—531no—
1046#537—531no—
1047#537—1061no—
1048#535—531no—
1049#535—531no—
1050#535—1061no—
1051#535—1061no—
1052#534—1061no—
1053#525—531no—
1054#525—531no—
1055#525—1061no—
1056C2×#121—531no—
1057C2×#121—531no—
1058C2×#121—1061no—
1059#520—531no—
1060#496—531no—
1061#496—531no—
1062#495—531no—
1063#493—531no—
1064#490—531no—
1065#489C2×D5311yescharacteristic, complemented
1066#488—531no—
1067#486—531no—
1068#485C2×D5311yescharacteristic, complemented
1069#484—531no—
1070#484—531no—
1071#482—531no—
1072#482—531no—
1073#482C2×D5311yescharacteristic, complemented
1074#481—531no—
1075#480—531no—
1076#480—531no—
1077#480—531no—
1078#480—531no—
1079#480—531no—
1080#479—531no—
1081#478—531no—
1082#477—531no—
1083#474C2×D5311yescharacteristic, complemented
1084#469—531no—
1085#468—531no—
1086#468—531no—
1087#468C2×D5311yescharacteristic, complemented
1088#467—531no—
1089#466—531no—
1090#466—531no—
1091#466—531no—
1092#466—531no—
1093#466—531no—
1094#466—531no—
1095#466—531no—
1096#466C2×D5311yescharacteristic, complemented
1097#465—531no—
1098#465—531no—
1099#465—531no—
1100#464—531no—
1101#464—531no—
1102#463—531no—
1103#463—531no—
1104#463—531no—
1105#463C2×D5311yescharacteristic, complemented
1106#460—531no—
1107#460—531no—
1108#459—531no—
1109#459—531no—
1110#459—531no—
1111#459—531no—
1112#452—531no—
1113#452—531no—
1114#452—531no—
1115#452—531no—
1116#451—531no—
1117#450—531no—
1118#450—531no—
1119#450—531no—
1120#450—531no—
1121#449—531no—
1122#449—531no—
1123#449—531no—
1124#449—531no—
1125#449—531no—
1126#449—531no—
1127#449—531no—
1128#449—531no—
1129#449—531no—
1130#449—531no—
1131#449—531no—
1132#449—531no—
1133#449—531no—
1134#449—531no—
1135#449—531no—
1136#449C2×D5311yescharacteristic, complemented
1137#448—531no—
1138#447—531no—
1139#447—531no—
1140#447—531no—
1141#447—531no—
1142#447—531no—
1143#447—531no—
1144#447—531no—
1145#447—531no—
1146#447—531no—
1147#447C2×D5311yescharacteristic, complemented
1148#442C2×D5311yescharacteristic, complemented
1149#440—531no—
1150#440—531no—
1151#440—531no—
1152C4×Q16—531no—
1153C4×SD16—531no—
1154C4×D8—531no—
1155C4×D8—531no—
1156#435—531no—
1157#435—531no—
1158#435—531no—
1159#435C2×D5311yescharacteristic, complemented
1160C8×D4—531no—
1161C8×D4—531no—
1162C8×D4—531no—
1163C8×D4—531no—
1164#433—531no—
1165#433—531no—
1166#418C2×D5311yescharacteristic, complemented
1167#417—531no—
1168#416—531no—
1169#416—531no—
1170#416C2×D5311yescharacteristic, complemented
1171C2×#103—531no—
1172C2×#102—531no—
1173C2×#102—531no—
1174#408—531no—
1175#408—531no—
1176C2×C22⋊C8—531no—
1177C2×C22⋊C8—531no—
1178C53#6163911yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—2122no—
1180H(5,𝔽2)—2122no—
1181C2×#41—531no—
1182C2×#41—531no—
1183C2×#41—531no—
1184C2×#41—531no—
1185C2×#41—531no—
1186C2×#41—531no—
1187C2×#41—531no—
1188C2×#41—531no—
1189C2×#41—1061no—
1190C2×#41—1061no—
1191C2×#41—1061no—
1192C2×#41—1061no—
1193C2×#41—2122no—
1194C2×#41—2122no—
1195C2×#41C22×D5311yescharacteristic
1196C22×Q8—531no—
1197C22×D4—531no—
1198C22×D4—531no—
1199C22×D4—531no—
1200C22×D4—531no—
1201C22×D4—531no—
1202C22×D4—1061no—
1203C22×D4—1061no—
1204C22×D4—1061no—
1205C22×D4—1061no—
1206C22×D4—1061no—
1207C22×D4—1061no—
1208C22×D4—1061no—
1209C22×D4—1061no—
1210C22×D4—1061no—
1211C22×D4C22×D5311yescharacteristic
1212C23×C4—531no—
1213C23×C4—1061no—
1214AGL(1,ℤ/8)—2122no—
1215AGL(1,ℤ/8)—2122no—
1216#135—2122no—
1217#135—2122no—
1218#135—2122no—
1219C2×Q16—531no—
1220C2×Q16—531no—
1221C2×SD16—531no—
1222C2×SD16—531no—
1223C2×SD16—531no—
1224C2×SD16—531no—
1225C2×SD16—531no—
1226C2×SD16—531no—
1227C2×SD16—531no—
1228C2×SD16—531no—
1229C2×SD16—531no—
1230C2×SD16—2122no—
1231C2×SD16C22×D5311yescharacteristic
1232C2×D8—531no—
1233C2×D8—531no—
1234C2×D8—531no—
1235C2×D8—531no—
1236C2×D8—531no—
1237C2×D8—531no—
1238C2×D8—531no—
1239C2×D8—531no—
1240C2×D8—531no—
1241C2×D8—531no—
1242C2×D8—2122no—
1243C2×D8—2122no—
1244C2×D8C22×D5311yescharacteristic
1245C2×D8C22×D5311yescharacteristic
1246C2×M16—531no—
1247C2×M16C22×D5311yescharacteristic
1248C22×C8—531no—
1249C22×C8—531no—
1250C22×C8—531no—
1251C22×C8—531no—
1252C22×C8—531no—
1253C22×C8C22×D5311yescharacteristic
1254C4⋊Q8C22×D5311yescharacteristic
1255#127—531no—
1256#127—531no—
1257#127—531no—
1258#127—1061no—
1259#127—1061no—
1260#127—1061no—
1261#127—1061no—
1262#126—1061no—
1263#126—1061no—
1264#126—1061no—
1265#125—531no—
1266#125—1061no—
1267#124—21no—
1268#124—21no—
1269#124—531no—
1270#124—531no—
1271#124—1061no—
1272#124—1061no—
1273#124—1061no—
1274#124—1061no—
1275#124C22×D5311yescharacteristic
1276#123—21no—
1277#123—531no—
1278#123—531no—
1279#123—1061no—
1280#123—1061no—
1281#123—1061no—
1282#123—1061no—
1283#123—1061no—
1284#123—1061no—
1285#123—1061no—
1286#123—1061no—
1287#123—1061no—
1288#123—1061no—
1289#123—1061no—
1290C22⋊Q8—531no—
1291C22⋊Q8—531no—
1292C22⋊Q8—531no—
1293C22⋊Q8—531no—
1294C22⋊Q8—531no—
1295C22⋊Q8—531no—
1296C22⋊Q8—1061no—
1297C22⋊Q8—1061no—
1298C22⋊Q8—1061no—
1299C22⋊Q8—1061no—
1300C22⋊Q8—1061no—
1301C22⋊Q8—1061no—
1302C22⋊Q8C22×D5311yescharacteristic
1303#121—21no—
1304#121—21no—
1305#121—531no—
1306#121—531no—
1307#121—531no—
1308#121—531no—
1309#121—531no—
1310#121—531no—
1311#121—531no—
1312#121—531no—
1313#121—531no—
1314#121—531no—
1315#121—531no—
1316#121—531no—
1317#121—531no—
1318#121—531no—
1319#121—1061no—
1320#121—1061no—
1321#121—1061no—
1322#121—1061no—
1323#121—1061no—
1324#121—1061no—
1325#121—1061no—
1326#121—1061no—
1327#121—1061no—
1328#121—1061no—
1329#121—1061no—
1330#121—1061no—
1331#121—1061no—
1332#121—1061no—
1333#121—1061no—
1334#121—1061no—
1335#121—1061no—
1336#121—1061no—
1337#121—1061no—
1338#121—1061no—
1339#121—1061no—
1340#121—1061no—
1341#121—1061no—
1342#121—1061no—
1343#121—1061no—
1344#121—1061no—
1345#121—1061no—
1346#121—1061no—
1347#121—1061no—
1348#121C22×D5311yescharacteristic
1349#121C22×D5311yescharacteristic
1350#121C22×D5311yescharacteristic
1351#120—21no—
1352#120—531no—
1353#120—531no—
1354#120—1061no—
1355#120—1061no—
1356#120—1061no—
1357#120—1061no—
1358#120—1061no—
1359#120—1061no—
1360#120—1061no—
1361#120—1061no—
1362#120—1061no—
1363#120—1061no—
1364#120—1061no—
1365#120—1061no—
1366#120—1061no—
1367#120—1061no—
1368C4×Q8—531no—
1369C4×Q8—531no—
1370C4×Q8—531no—
1371C4×D4—531no—
1372C4×D4—531no—
1373C4×D4—531no—
1374C4×D4—531no—
1375C4×D4—531no—
1376C4×D4—531no—
1377C4×D4—1061no—
1378C4×D4—1061no—
1379C4×D4—1061no—
1380C4×D4—1061no—
1381C4×D4—1061no—
1382C4×D4—1061no—
1383C4×D4—1061no—
1384C4×D4—1061no—
1385C4×D4—1061no—
1386C4×D4—1061no—
1387C4×D4C22×D5311yescharacteristic
1388C4×D4C22×D5311yescharacteristic
1389C4×D4C22×D5311yescharacteristic
1390#117—21no—
1391#117—531no—
1392#117—1061no—
1393#117—1061no—
1394#117C22×D5311yescharacteristic
1395#117C22×D5311yescharacteristic
1396C2×C4⋊C4—531no—
1397C2×C4⋊C4—531no—
1398C2×C4⋊C4—531no—
1399C2×C4⋊C4—1061no—
1400C2×C22⋊C4—21no—
1401C2×C22⋊C4—1061no—
1402C2×C22⋊C4—1061no—
1403C2×C22⋊C4—1061no—
1404C2×C22⋊C4—1061no—
1405C2×C22⋊C4—1061no—
1406#107—531no—
1407#107—531no—
1408#107—531no—
1409#107—531no—
1410#107C22×D5311yescharacteristic
1411#107C22×D5311yescharacteristic
1412#106—531no—
1413#106C22×D5311yescharacteristic
1414C4⋊C8—531no—
1415C4⋊C8—531no—
1416C4⋊C8—531no—
1417C4⋊C8C22×D5311yescharacteristic
1418#103—531no—
1419#103—531no—
1420#103—531no—
1421#103—531no—
1422#103—531no—
1423#103—531no—
1424#103—531no—
1425#103C22×D5311yescharacteristic
1426#103C22×D5311yescharacteristic
1427#103C22×D5311yescharacteristic
1428#102—531no—
1429#102—531no—
1430#102—531no—
1431#102—531no—
1432#102—531no—
1433#102—531no—
1434#102—531no—
1435#102—531no—
1436#102—531no—
1437#102—531no—
1438#102—531no—
1439#102—531no—
1440#102—531no—
1441#102—531no—
1442#102—531no—
1443#102C22×D5311yescharacteristic
1444#102C22×D5311yescharacteristic
1445#102C22×D5311yescharacteristic
1446#102C22×D5311yescharacteristic
1447#102C22×D5311yescharacteristic
1448#102C22×D5311yescharacteristic
1449#102C22×D5311yescharacteristic
1450C22⋊C8—531no—
1451C22⋊C8—531no—
1452C22⋊C8—531no—
1453C22⋊C8—531no—
1454C22⋊C8—531no—
1455C22⋊C8—531no—
1456C22⋊C8—531no—
1457C22⋊C8—531no—
1458C22⋊C8—531no—
1459C22⋊C8—531no—
1460C22⋊C8C22×D5311yescharacteristic
1461C22⋊C8C22×D5311yescharacteristic
1462#97—531no—
1463#97C22×D5311yescharacteristic
1464C4×C8—531no—
1465C4×C8—531no—
1466C24—21no—
1467C24—531no—
1468C24—1061no—
1469C24—1061no—
1470C24—1061no—
1471C24—1061no—
1472C24—1061no—
1473#41—22no—
1474#41—41no—
1475#41—1062no—
1476#41—1062no—
1477#41—1062no—
1478#41—1062no—
1479#41—1062no—
1480#41—4242no—
1481#41—2121no—
1482#41—2121no—
1483#41—2121no—
1484#41—2121no—
1485#41—2121no—
1486#41—2121no—
1487#41—2124no—
1488#41—2121no—
1489#41—2121no—
1490#41—2121no—
1491#41—2124no—
1492#41—2124no—
1493#41—2121no—
1494#41—2121no—
1495C2×Q8—21no—
1496C2×Q8—531no—
1497C2×Q8—531no—
1498C2×Q8—531no—
1499C2×Q8—1061no—
1500C2×Q8—1062no—
1501C2×Q8—2121no—
1502C2×Q8C23×D5311yescharacteristic
1503C2×D4—22no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—41no—
1510C2×D4—531no—
1511C2×D4—531no—
1512C2×D4—531no—
1513C2×D4—531no—
1514C2×D4—531no—
1515C2×D4—531no—
1516C2×D4—531no—
1517C2×D4—531no—
1518C2×D4—531no—
1519C2×D4—531no—
1520C2×D4—1061no—
1521C2×D4—1061no—
1522C2×D4—1061no—
1523C2×D4—1061no—
1524C2×D4—1061no—
1525C2×D4—1061no—
1526C2×D4—1061no—
1527C2×D4—1061no—
1528C2×D4—1061no—
1529C2×D4—1061no—
1530C2×D4—1061no—
1531C2×D4—1061no—
1532C2×D4—1061no—
1533C2×D4—1061no—
1534C2×D4—1061no—
1535C2×D4—1061no—
1536C2×D4—1061no—
1537C2×D4—1062no—
1538C2×D4—1062no—
1539C2×D4—1061no—
1540C2×D4—1061no—
1541C2×D4—1061no—
1542C2×D4—1061no—
1543C2×D4—1061no—
1544C2×D4—1061no—
1545C2×D4—1061no—
1546C2×D4—1061no—
1547C2×D4—1061no—
1548C2×D4—1061no—
1549C2×D4—1061no—
1550C2×D4—1061no—
1551C2×D4—1061no—
1552C2×D4—4242no—
1553C2×D4—4242no—
1554C2×D4—4242no—
1555C2×D4—4242no—
1556C2×D4—4242no—
1557C2×D4—2121no—
1558C2×D4—2121no—
1559C2×D4—2121no—
1560C2×D4—2121no—
1561C2×D4—2121no—
1562C2×D4—2121no—
1563C2×D4—2121no—
1564C2×D4—2121no—
1565C2×D4—2124no—
1566C2×D4—2124no—
1567C2×D4—2124no—
1568C2×D4—2124no—
1569C2×D4D4×D5311yescharacteristic
1570C2×D4C23×D5311yescharacteristic
1571C2×D4C23×D5311yescharacteristic
1572C2×D4C23×D5311yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—531no—
1577C22×C4—531no—
1578C22×C4—531no—
1579C22×C4—531no—
1580C22×C4—531no—
1581C22×C4—531no—
1582C22×C4—1061no—
1583C22×C4—1061no—
1584C22×C4—1061no—
1585C22×C4—1061no—
1586C22×C4—1061no—
1587C22×C4—1061no—
1588C22×C4—1061no—
1589C22×C4—1061no—
1590C22×C4—1061no—
1591C22×C4—1061no—
1592C22×C4—1061no—
1593C22×C4—1061no—
1594C22×C4—1061no—
1595C22×C4—1061no—
1596C22×C4—2121no—
1597C22×C4—2121no—
1598C22×C4—2124no—
1599C22×C4C23×D5311yescharacteristic
1600C22×C4C23×D5311yescharacteristic
1601Q16—1062no—
1602Q16—2121no—
1603SD16—41no—
1604SD16—1062no—
1605SD16—1062no—
1606SD16—1062no—
1607SD16—1062no—
1608SD16—2121no—
1609SD16—2121no—
1610SD16—2121no—
1611SD16—2121no—
1612SD16—2121no—
1613D8—22no—
1614D8—41no—
1615D8—1062no—
1616D8—1062no—
1617D8—2121no—
1618D8—2121no—
1619D8—2121no—
1620D8—2121no—
1621D8—2121no—
1622D8—2121no—
1623D8—2121no—
1624D8—2121no—
1625M16—41no—
1626M16—2121no—
1627C2×C8—41no—
1628C2×C8—531no—
1629C2×C8—531no—
1630C2×C8—531no—
1631C2×C8—531no—
1632C2×C8—2121no—
1633C2×C8—2121no—
1634C2×C8—2121no—
1635C2×C8—2121no—
1636C2×C8—2121no—
1637C2×C8C23×D5311yescharacteristic
1638C2×C8C23×D5311yescharacteristic
1639C2×C8C23×D5311yescharacteristic
1640C2×C8C23×D5311yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—531no—
1644C4⋊C4—531no—
1645C4⋊C4—531no—
1646C4⋊C4—531no—
1647C4⋊C4—531no—
1648C4⋊C4—531no—
1649C4⋊C4—531no—
1650C4⋊C4—1061no—
1651C4⋊C4—1061no—
1652C4⋊C4—1061no—
1653C4⋊C4—1061no—
1654C4⋊C4—1061no—
1655C4⋊C4—1061no—
1656C4⋊C4—1061no—
1657C4⋊C4—1061no—
1658C4⋊C4—1061no—
1659C4⋊C4—1061no—
1660C4⋊C4—1061no—
1661C4⋊C4—1061no—
1662C4⋊C4D4×D5311yescharacteristic
1663C4⋊C4C23×D5311yescharacteristic
1664C4⋊C4C23×D5311yescharacteristic
1665C4⋊C4C23×D5311yescharacteristic
1666C4⋊C4C23×D5311yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—531no—
1678C22⋊C4—531no—
1679C22⋊C4—531no—
1680C22⋊C4—531no—
1681C22⋊C4—531no—
1682C22⋊C4—531no—
1683C22⋊C4—531no—
1684C22⋊C4—531no—
1685C22⋊C4—1061no—
1686C22⋊C4—1061no—
1687C22⋊C4—1061no—
1688C22⋊C4—1061no—
1689C22⋊C4—1061no—
1690C22⋊C4—1061no—
1691C22⋊C4—1061no—
1692C22⋊C4—1061no—
1693C22⋊C4—1061no—
1694C22⋊C4—1061no—
1695C22⋊C4—1061no—
1696C22⋊C4—1061no—
1697C22⋊C4—1061no—
1698C22⋊C4—1061no—
1699C22⋊C4—1061no—
1700C22⋊C4—1061no—
1701C22⋊C4—1061no—
1702C22⋊C4—1061no—
1703C22⋊C4—1061no—
1704C22⋊C4—1061no—
1705C22⋊C4—1061no—
1706C22⋊C4—1061no—
1707C22⋊C4—1061no—
1708C22⋊C4D4×D5311yescharacteristic
1709C22⋊C4D4×D5311yescharacteristic
1710C42—21no—
1711C42—21no—
1712C42—531no—
1713C42—1061no—
1714C42—1061no—
1715C42—1061no—
1716C42C23×D5311yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—42no—
1721C23—81no—
1722C23—81no—
1723C23—531no—
1724C23—531no—
1725C23—531no—
1726C23—1062no—
1727C23—1061no—
1728C23—1061no—
1729C23—1061no—
1730C23—1061no—
1731C23—4241no—
1732C23—4241no—
1733C23—4241no—
1734C23—4241no—
1735C23—4241no—
1736C23—4241no—
1737C23—4241no—
1738C23—4241no—
1739C23—4241no—
1740C23—4241no—
1741C23—2122no—
1742C23—2121no—
1743C23—2121no—
1744C23—2122no—
1745C23—2122no—
1746C23—2122no—
1747C23—2122no—
1748C23C2×D4×D5311yescharacteristic
1749C23C2×D4×D5311yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—81no—
1753Q8—532no—
1754Q8—1061no—
1755Q8—1061no—
1756Q8—1061no—
1757Q8—2121no—
1758Q8—2122no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—41no—
1765D4—42no—
1766D4—42no—
1767D4—81no—
1768D4—81no—
1769D4—81no—
1770D4—1062no—
1771D4—1062no—
1772D4—1064no—
1773D4—1061no—
1774D4—1061no—
1775D4—1061no—
1776D4—1061no—
1777D4—1061no—
1778D4—1061no—
1779D4—1061no—
1780D4—1061no—
1781D4—4241no—
1782D4—4241no—
1783D4—4241no—
1784D4—4241no—
1785D4—4241no—
1786D4—4241no—
1787D4—4241no—
1788D4—4241no—
1789D4—4241no—
1790D4—4241no—
1791D4—4241no—
1792D4—4241no—
1793D4—4241no—
1794D4—4241no—
1795D4—4241no—
1796D4—4241no—
1797D4—4241no—
1798D4—4241no—
1799D4—4241no—
1800D4—2121no—
1801D4—2122no—
1802D4—2122no—
1803D4—2122no—
1804D4—2121no—
1805D4—2121no—
1806D4—2121no—
1807D4—2122no—
1808D4—2122no—
1809D4—2122no—
1810D4—2122no—
1811D4—2122no—
1812D4—2122no—
1813D4—2122no—
1814D4#1313326312yes—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—42no—
1825C2×C4—81no—
1826C2×C4—81no—
1827C2×C4—531no—
1828C2×C4—531no—
1829C2×C4—531no—
1830C2×C4—531no—
1831C2×C4—531no—
1832C2×C4—1064no—
1833C2×C4—1061no—
1834C2×C4—1061no—
1835C2×C4—1061no—
1836C2×C4—1061no—
1837C2×C4—1061no—
1838C2×C4—1061no—
1839C2×C4—1061no—
1840C2×C4—1061no—
1841C2×C4—1061no—
1842C2×C4—1061no—
1843C2×C4—4241no—
1844C2×C4—4241no—
1845C2×C4—4241no—
1846C2×C4—4241no—
1847C2×C4—4241no—
1848C2×C4—4241no—
1849C2×C4—4241no—
1850C2×C4—2121no—
1851C2×C4—2121no—
1852C2×C4—2122no—
1853C2×C4—2122no—
1854C2×C4—2122no—
1855C2×C4—2122no—
1856C2×C4—2122no—
1857C2×C4—2121no—
1858C2×C4—2122no—
1859C2×C4C2×D4×D5311yescharacteristic
1860C2×C4C2×D4×D5311yescharacteristic
1861C2×C4C2×D4×D5311yescharacteristic
1862C2×C4C2×D4×D5311yescharacteristic
1863C2×C4C24×D5311yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—1061no—
1869C8—1061no—
1870C8—1061no—
1871C8—1061no—
1872C22—21no—
1873C22—21no—
1874C22—22no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—162no—
1888C22—532no—
1889C22—8482no—
1890C22—8482no—
1891C22—8482no—
1892C22—8482no—
1893C22—1061no—
1894C22—1061no—
1895C22—1061no—
1896C22—1061no—
1897C22—1061no—
1898C22—1061no—
1899C22—1061no—
1900C22—1061no—
1901C22—4244no—
1902C22—4242no—
1903C22—2121no—
1904C22—2121no—
1905C22—2121no—
1906C22—2121no—
1907C22—2121no—
1908C22—2121no—
1909C22—2121no—
1910C22—2121no—
1911C22—2121no—
1912C22—2121no—
1913C22—2121no—
1914C22—2121no—
1915C22C22×D4×D5311yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—1061no—
1926C4—1061no—
1927C4—1061no—
1928C4—1062no—
1929C4—1061no—
1930C4—1061no—
1931C4—2121no—
1932C4—2121no—
1933C4—2121no—
1934C4H(5,𝔽2)×D5311yescharacteristic
1935C4C2×#1313326311yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—42no—
1939C2—81no—
1940C2—81no—
1941C2—1062no—
1942C2—4241no—
1943C2—4241no—
1944C2—4241no—
1945C2—4241no—
1946C2—2121no—
1947C2—2121no—
1948C2#2028834511yescharacteristic
1949C2#576×D5311yescharacteristic
1950C2#2028948811yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3319C2
socleC22×C53C23×D4
hypercenter#3319D53
hypocenterC53#61639
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #20289038C2semidirect
2. #20288378C2semidirect
3. #20286737C2semidirect
4. #20286719C2semidirect
5. #20286705C2semidirect
6. #20286659C2semidirect
7. #20286605C2semidirect
8. #20286566C2semidirect
9. #20286525C2semidirect
10. #20286472C2semidirect
11. #20286428C2semidirect
12. #20286396C2semidirect
13. #20286385C2semidirect
14. #20286260C2semidirect
15. #20286259C2semidirect
16. #20286217C2semidirect
17. #20286197C2semidirect
18. #20285810C2semidirect
19. #20285762C2semidirect
20. #20285613C2semidirect
21. #20285573C2semidirect
22. #20285484C2semidirect
23. #20285462C2semidirect
24. #20284982C2semidirect
25. #20284918C2semidirect
26. #20284014C2semidirect
27. #20283984C2semidirect
28. #20283935C2semidirect
29. #449×D53C2semidirect
30. #20283766C2semidirect
31. C53×#3319C2semidirect
32. C2×#13133262C22semidirect
33. C2×#41×D53C22semidirect
34. C2×#13133245C22semidirect
35. C2×#13133241C22semidirect
36. C2×#13133239C22semidirect
37. C2×#13133237C22semidirect
38. C2×#13133236C22semidirect
39. C2×SD16×D53C22semidirect
40. C22×#11719922C22semidirect
41. C2×D8×D53C22semidirect
44. #16811317C22semidirect
45. #16811312C22semidirect
47. #16811294C22semidirect
48. #16811291C22semidirect
49. #16811291C22semidirect
51. #16811281C22semidirect
52. #16811276C22semidirect
53. #16811269C22semidirect
54. #16811268C22semidirect
58. #16811261C22semidirect
59. D4×D212C22semidirect
61. #16811257C22semidirect
64. #16811247C22semidirect
66. #16811224C22semidirect
68. #16811203C22semidirect
69. #16811202C22semidirect
71. #16811192C22semidirect
73. #16811191C22semidirect
76. #16811135C22semidirect
80. #121×D53C22semidirect
81. #121×D53C22semidirect
82. #16811102C22semidirect
83. #16811012C22semidirect
84. #16811009C22semidirect
85. #16811005C22semidirect
86. #16810998C22semidirect
87. #16810986C22semidirect
88. #16810979C22semidirect
89. #16810971C22semidirect
90. #16810960C22semidirect
91. #16810957C22semidirect
92. #16810947C22semidirect
93. #16810947C22semidirect
94. #16810943C22semidirect
95. #16810938C22semidirect
96. #16810938C22semidirect
97. #16810938C22semidirect
98. #16810935C22semidirect
99. #16810935C22semidirect
100. #16810933C22semidirect
101. #16810921C22semidirect
102. #16810915C22semidirect
103. #16810877C22semidirect
104. #16810872C22semidirect
105. #16810869C22semidirect
106. #16810862C22semidirect
107. #16810860C22semidirect
108. #16810860C22semidirect
109. #16810859C22semidirect
110. #16810858C22semidirect
111. #16810857C22semidirect
112. #16810857C22semidirect
113. #16810857C22semidirect
114. #16810855C22semidirect
115. #16810853C22semidirect
116. #16810851C22semidirect
117. #16810848C22semidirect
118. #16810846C22semidirect
119. #16810841C22semidirect
120. #16810838C22semidirect
121. #16810835C22semidirect
122. #16810822C22semidirect
123. #16810822C22semidirect
124. #16810819C22semidirect
125. #16810818C22semidirect
126. #16810817C22semidirect
127. #16810816C22semidirect
128. #16810788C22semidirect
129. #16810787C22semidirect
130. #16810786C22semidirect
131. #16810782C22semidirect
132. #16810780C22semidirect
133. #16810775C22semidirect
134. #16810775C22semidirect
135. #16810774C22semidirect
136. #16810773C22semidirect
137. #16810771C22semidirect
138. #16810771C22semidirect
139. #16810770C22semidirect
140. #16810770C22semidirect
142. #16810769C22semidirect
143. #16810769C22semidirect
144. #16810769C22semidirect
145. #16810769C22semidirect
146. #16810768C22semidirect
147. #16810767C22semidirect
148. #16810766C22semidirect
149. #16810766C22semidirect
150. #16810766C22semidirect
151. #16810765C22semidirect
152. #16810763C22semidirect
153. #16810759C22semidirect
154. #16810758C22semidirect
155. #16810758C22semidirect
156. #16810758C22semidirect
157. #16810758C22semidirect
158. #16810758C22semidirect
159. #16810758C22semidirect
160. #16810755C22semidirect
161. #16810755C22semidirect
162. #16810725C22semidirect
163. #16810722C22semidirect
164. #16810720C22semidirect
165. #16810717C22semidirect
166. C4×#11719923C22semidirect
167. C4×#11719922C22semidirect
168. #16810703C22semidirect
169. #16810696C22semidirect
170. #16810692C22semidirect
171. #16810691C22semidirect
172. D4×#88322C22semidirect
173. #16810688C22semidirect
174. C8×C22⋊D53C22semidirect
175. #16810686C22semidirect
176. #16810685C22semidirect
177. #16810683C22semidirect
178. #16810621C22semidirect
179. #16810617C22semidirect
180. #16810617C22semidirect
181. #103×D53C22semidirect
182. #102×D53C22semidirect
183. #102×D53C22semidirect
184. #16810591C22semidirect
185. #16810588C22semidirect
186. C2×#13133129C22semidirect
187. C22⋊C8×D53C22semidirect
188. C53×#555C22semidirect
189. C53×#546C22semidirect
190. C53×#489C22semidirect
191. C53×#485C22semidirect
192. C53×#482C22semidirect
193. C53×#474C22semidirect
194. C53×#468C22semidirect
195. C53×#466C22semidirect
196. C53×#463C22semidirect
197. C53×#449C22semidirect
198. C53×#447C22semidirect
199. C53×#442C22semidirect
200. C53×#435C22semidirect
201. C53×#418C22semidirect
202. C53×#416C22semidirect
963. #3319D53semidirect
1019. #555C2×D53semidirect
1035. #546C2×D53semidirect
1065. #489C2×D53semidirect
1068. #485C2×D53semidirect
1073. #482C2×D53semidirect
1083. #474C2×D53semidirect
1087. #468C2×D53semidirect
1096. #466C2×D53semidirect
1105. #463C2×D53semidirect
1136. #449C2×D53semidirect
1147. #447C2×D53semidirect
1148. #442C2×D53semidirect
1159. #435C2×D53semidirect
1166. #418C2×D53semidirect
1170. #416C2×D53semidirect
1178. C53#61639semidirect

Maximal subgroups

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

subgroupindex
#202890382
#202883782
#202867372
#202867192
#202867052
#202866592
#202866052
#202865662
#202865252
#202864722
#202864282
#202863962
#202863852
#202862602
#202862592
#202862172
#202861972
#202858102
#202857622
#202856132
#202855732
#202854842
#202854622
#202849822
#202849182
#202840142
#202839842
#202839352
#449×D532
#202837662
C53×#33192
#6163953