Finite Group Databasebeta

← #28278000

Subgroups — #28278000

Order 13568.

1960 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289040C211yesmaximal, characteristic, complemented
2#20288672C211yesmaximal, characteristic, complemented
3#20287760C211yesmaximal, characteristic, complemented
4#20287727C211yesmaximal, characteristic, complemented
5#20287510C211yesmaximal, characteristic, complemented
6#20287347C211yesmaximal, characteristic, complemented
7#20286955C211yesmaximal, characteristic, complemented
8#20286942C211yesmaximal, characteristic, complemented
9#20286872C211yesmaximal, characteristic, complemented
10#20286865C211yesmaximal, characteristic, complemented
11#20286652C211yesmaximal, characteristic, complemented
12#20286385C211yesmaximal, characteristic, complemented
13#20286332C211yesmaximal, characteristic, complemented
14#20286327C211yesmaximal, characteristic, complemented
15#20286326C211yesmaximal, characteristic, complemented
16#20286202C211yesmaximal, characteristic, complemented
17#20286191C211yesmaximal, characteristic, complemented
18#20286127C211yesmaximal, characteristic, complemented
19#20286125C211yesmaximal, characteristic, complemented
20#20286070C211yesmaximal, characteristic, complemented
21#20285812C211yesmaximal, characteristic, complemented
22#20285805C211yesmaximal, characteristic, complemented
23#20285631C211yesmaximal, characteristic, complemented
24#20284955C211yesmaximal, characteristic, complemented
25#20284954C211yesmaximal, characteristic, complemented
26#20284728C211yesmaximal, characteristic, complemented
27#20284217C211yesmaximal, characteristic, complemented
28#20284213C211yesmaximal, characteristic, complemented
29#20284194C211yesmaximal, characteristic, complemented
30#20283861C211yesmaximal, characteristic, complemented
31C53×#3325C211yesmaximal, characteristic, complemented
32C2×#13133245C2211yescharacteristic, complemented
33C2×#13133245C2211yescharacteristic, complemented
34C2×#13133243C2211yescharacteristic, complemented
35C2×#13133241C2211yescharacteristic, complemented
36C22×#11719922C2211yescharacteristic, complemented
37C2×D8×D53C2211yescharacteristic, complemented
38#16811362—21no—
39#16811361—21no—
40#16811356C2211yescharacteristic, complemented
41#16811356C2211yescharacteristic, complemented
42#16811341C2211yescharacteristic, complemented
43#16811336C2211yescharacteristic, complemented
44#16811303—21no—
45#16811297—21no—
46#16811293C2211yescharacteristic, complemented
47#16811291C2211yescharacteristic
48#16811288C2211yescharacteristic, complemented
49#16811281—21no—
50#16811270C2211yescharacteristic, complemented
51#16811269C2211yescharacteristic, complemented
52#16811269C2211yescharacteristic, complemented
53#16811267C2211yescharacteristic, complemented
54#16811262—21no—
55#16811260—21no—
56#16811257C2211yescharacteristic, complemented
57#16811257C2211yescharacteristic, complemented
58D4×C22⋊D53—21no—
59D4×C22⋊D53C2211yescharacteristic
60#16811247C2211yescharacteristic, complemented
61#16811240C2211yescharacteristic, complemented
62#16811226C2211yescharacteristic, complemented
63#16811224C2211yescharacteristic, complemented
64#16811223—21no—
65#16811207—21no—
66#16811205—21no—
67#16811190C2211yescharacteristic, complemented
68#16811188—21no—
69#16811186C2211yescharacteristic, complemented
70#16811183—21no—
71#16811182—21no—
72#16811168C2211yescharacteristic, complemented
73C2×#13133213C2211yescharacteristic, complemented
74#16811154C2211yescharacteristic, complemented
75#16811153C2211yescharacteristic
76#16811151—21no—
77#124×D53—21no—
78#16811097C2211yescharacteristic, complemented
79#16811095C2211yescharacteristic, complemented
80#16811091C2211yescharacteristic, complemented
81#16811011C2211yescharacteristic, complemented
82#16811010C2211yescharacteristic, complemented
83#16811007C2211yescharacteristic, complemented
84#16811006C2211yescharacteristic, complemented
85#16810998C2211yescharacteristic
86#16810998C2211yescharacteristic, complemented
87#16810985C2211yescharacteristic, complemented
88#16810981C2211yescharacteristic, complemented
89#16810968C2211yescharacteristic, complemented
90#16810968C2211yescharacteristic, complemented
91#16810968C2211yescharacteristic, complemented
92#16810964C2211yescharacteristic, complemented
93#16810950C2211yescharacteristic, complemented
94#16810947C2211yescharacteristic, complemented
95#16810945C2211yescharacteristic, complemented
96#16810933C2211yescharacteristic, complemented
97#16810926C2211yescharacteristic, complemented
98#16810922C2211yescharacteristic, complemented
99#16810921C2211yescharacteristic, complemented
100#16810912C2211yescharacteristic, complemented
101#16810907C2211yescharacteristic, complemented
102#16810901C2211yescharacteristic, complemented
103#16810901C2211yescharacteristic, complemented
104#16810900C2211yescharacteristic, complemented
105#16810877C2211yescharacteristic, complemented
106#16810874C2211yescharacteristic, complemented
107#16810869C2211yescharacteristic, complemented
108#16810869C2211yescharacteristic, complemented
109#16810868C2211yescharacteristic, complemented
110#16810867C2211yescharacteristic, complemented
111#16810858C2211yescharacteristic, complemented
112#16810857C2211yescharacteristic, complemented
113#16810853C2211yescharacteristic, complemented
114#16810850C2211yescharacteristic, complemented
115#16810844C2211yescharacteristic, complemented
116#16810839C2211yescharacteristic, complemented
117#16810839C2211yescharacteristic, complemented
118#16810838C2211yescharacteristic, complemented
119#16810838C2211yescharacteristic, complemented
120#16810837C2211yescharacteristic, complemented
121#16810837C2211yescharacteristic, complemented
122#16810837C2211yescharacteristic, complemented
123#16810837C2211yescharacteristic, complemented
124#16810837C2211yescharacteristic, complemented
125#16810836C2211yescharacteristic, complemented
126#16810836C2211yescharacteristic, complemented
127#16810822C2211yescharacteristic, complemented
128#16810822C2211yescharacteristic, complemented
129#16810822C2211yescharacteristic, complemented
130#16810822C2211yescharacteristic, complemented
131#16810822C2211yescharacteristic, complemented
132#16810817C2211yescharacteristic
133#16810817C2211yescharacteristic, complemented
134#16810817C2211yescharacteristic, complemented
135#16810817C2211yescharacteristic, complemented
136#16810817C2211yescharacteristic, complemented
137#16810817C2211yescharacteristic, complemented
138#16810817C2211yescharacteristic, complemented
139#16810817C2211yescharacteristic, complemented
140#16810816C2211yescharacteristic, complemented
141#16810816C2211yescharacteristic, complemented
142#16810816C2211yescharacteristic, complemented
143#16810815C2211yescharacteristic, complemented
144#16810787C2211yescharacteristic, complemented
145#16810787C2211yescharacteristic, complemented
146#16810786C2211yescharacteristic, complemented
147#16810775C2211yescharacteristic, complemented
148#16810774C2211yescharacteristic, complemented
149#16810769C2211yescharacteristic, complemented
150#16810766C2211yescharacteristic
151#16810766C2211yescharacteristic, complemented
152#16810759C2211yescharacteristic, complemented
153#16810759C2211yescharacteristic, complemented
154#16810758C2211yescharacteristic, complemented
155#16810758C2211yescharacteristic, complemented
156#16810757C2211yescharacteristic, complemented
157#16810756C2211yescharacteristic, complemented
158#16810756C2211yescharacteristic, complemented
159#16810755C2211yescharacteristic, complemented
160#16810752C2211yescharacteristic, complemented
161C8×Dic106C2211yescharacteristic, complemented
162#16810734C2211yescharacteristic, complemented
163#16810733C2211yescharacteristic, complemented
164#16810733C2211yescharacteristic, complemented
165#16810732C2211yescharacteristic, complemented
166#16810717C2211yescharacteristic, complemented
167#16810714C2211yescharacteristic, complemented
168#16810710C2211yescharacteristic, complemented
169C4×D424C2211yescharacteristic, complemented
170#16810705C2211yescharacteristic, complemented
171#16810703C2211yescharacteristic, complemented
172#16810703C2211yescharacteristic, complemented
173#16810699C2211yescharacteristic, complemented
174#16810698C2211yescharacteristic, complemented
175#16810695C2211yescharacteristic, complemented
176#16810692C2211yescharacteristic, complemented
177#16810686C2211yescharacteristic, complemented
178#16810682C2211yescharacteristic, complemented
179#16810681C2211yescharacteristic, complemented
180#16810673C2211yescharacteristic, complemented
181#16810651C2211yescharacteristic, complemented
182#16810648C2211yescharacteristic, complemented
183#16810646C2211yescharacteristic, complemented
184#16810627C2211yescharacteristic, complemented
185#16810626C2211yescharacteristic, complemented
186#16810617C2211yescharacteristic, complemented
187#16810616C2211yescharacteristic, complemented
188C53×#555C2211yescharacteristic, complemented
189D42×C53C2211yescharacteristic, complemented
190C53×#486C2211yescharacteristic, complemented
191C53×#482C2211yescharacteristic, complemented
192C53×#482C2211yescharacteristic, complemented
193C53×#476C2211yescharacteristic, complemented
194C53×#469C2211yescharacteristic, complemented
195C53×#469C2211yescharacteristic, complemented
196C53×#459C2211yescharacteristic, complemented
197C53×#447C2211yescharacteristic, complemented
198C53×#447C2211yescharacteristic, complemented
199C4×D8×C53C2211yescharacteristic, complemented
200C53×#436C2211yescharacteristic, complemented
201C53×#418C2211yescharacteristic, complemented
202C53×#418C2211yescharacteristic, complemented
203C2×#11719945C2311yescharacteristic
204C2×#11719945C2311yescharacteristic
205C2×#11719947—21no—
206C2×#11719947—21no—
207C2×#11719947C2311yescharacteristic
208C2×Q8×D53—21no—
209C22×D212C2311yescharacteristic
210C22×D212C2311yescharacteristic
211C22×C22⋊D53—21no—
212C22×C22⋊D53—21no—
213C22×C22⋊D53—21no—
214C2×D4×D53—21no—
215C2×D4×D53—21no—
216C2×D4×D53C2311yescharacteristic
217C2×D4×D53C2311yescharacteristic
218#13133245—42no—
219#13133245—42no—
220#13133243—42no—
221#13133241—42no—
222C2×Dic212C2311yescharacteristic
223C2×#11719913C2311yescharacteristic
224C2×#11719913C2311yescharacteristic
225C2×#11719913C2311yescharacteristic
226C2×#11719913C2311yescharacteristic
227C2×#11719923C2311yescharacteristic
228C2×#11719923C2311yescharacteristic
229C2×#11719923C2311yescharacteristic
230C2×#11719923C2311yescharacteristic
231C2×D424C2311yescharacteristic
232C2×D424C2311yescharacteristic
233C2×D424C2311yescharacteristic
234C2×D424C2311yescharacteristic
235C2×#11719922—42no—
236C2×#11719922C2311yescharacteristic
237C2×#11719922C2311yescharacteristic
238C2×#11719922C2311yescharacteristic
239C2×#11719922C2311yescharacteristic
240C2×#11719922C2311yescharacteristic
241C2×#11719922C2311yescharacteristic
242C2×#11719922C2311yescharacteristic
243C2×#11719922C2311yescharacteristic
244D8×D53—42no—
245C2×#11719917C2311yescharacteristic
246C2×#11719912C2311yescharacteristic
247C22×#88322C2311yescharacteristic
248C2×C8×D53C2311yescharacteristic
249#13133216C2311yescharacteristic
250#13133216C2311yescharacteristic
251#13133213—21no—
252#13133213—21no—
253#13133213—21no—
254#13133213C2311yescharacteristic
255#13133213C2311yescharacteristic
256#13133213C2311yescharacteristic
257#13133213C2311yescharacteristic
258#13133213C2311yescharacteristic
259#13133213C2311yescharacteristic
260#13133212—21no—
261#13133212D411yescharacteristic
262#13133211—21no—
263#13133210—21no—
264#13133210—21no—
265#13133210—21no—
266#13133210D411yescharacteristic
267#13133208C2311yescharacteristic
268#13133207D411yescharacteristic
269#13133206—21no—
270#13133205—21no—
271#13133205C2311yescharacteristic
272#13133205C2311yescharacteristic
273#13133204—21no—
274#13133204C2311yescharacteristic
275#13133204C2311yescharacteristic
276#13133204C2311yescharacteristic
277#13133203—21no—
278#13133203—21no—
279#13133203—21no—
280#13133203—21no—
281#13133203—21no—
282#13133203D411yescharacteristic
283#13133202—21no—
284#13133202—21no—
285#13133202—21no—
286#13133201—21no—
287#13133201D411yescharacteristic
288#13133200—21no—
289#13133200—21no—
290#13133200—21no—
291#13133199—21no—
292#13133199—21no—
293#13133199—21no—
294#13133199—21no—
295#13133199—21no—
296#13133198—21no—
297#13133198—21no—
298#13133198—21no—
299#13133198D411yescharacteristic
300#13133197C2311yescharacteristic
301#13133196C2311yescharacteristic
302#13133196C2311yescharacteristic
303#13133195—21no—
304#13133195—21no—
305#13133194—21no—
306#13133194D411yescharacteristic
307#13133193—21no—
308#13133193—21no—
309#13133192C2311yescharacteristic
310#13133192C2311yescharacteristic
311#13133191—21no—
312#13133191C2311yescharacteristic
313#13133191C2311yescharacteristic
314#13133190—21no—
315#13133190—21no—
316#13133190—21no—
317#13133190—21no—
318#13133190—21no—
319#13133190—21no—
320#13133190—21no—
321#13133189—21no—
322#13133189—21no—
323#13133189—21no—
324#13133189—21no—
325#13133189—21no—
326#13133189—21no—
327#13133189—21no—
328#13133189—21no—
329#13133189—21no—
330#13133189D411yescharacteristic
331#13133188—21no—
332#13133188—21no—
333#13133188—21no—
334#13133188—21no—
335#13133188—21no—
336#13133188C2311yescharacteristic
337#13133187—21no—
338#13133187—21no—
339#13133186—21no—
340#13133186—21no—
341#13133186—21no—
342#13133186—21no—
343#13133185—21no—
344#13133185—21no—
345#13133185—21no—
346#13133185—21no—
347#13133185—21no—
348#13133185—21no—
349#13133185—21no—
350#13133185—21no—
351C4×Dic106—21no—
352C4×Dic106C2311yescharacteristic
353#13133182C2311yescharacteristic
354#13133182C2311yescharacteristic
355#13133182C2311yescharacteristic
356C4×D212—21no—
357C4×D212—21no—
358C4×D212C2311yescharacteristic
359C4×D212C2311yescharacteristic
360D4×Dic53—21no—
361D4×Dic53C2311yescharacteristic
362D4×Dic53C2311yescharacteristic
363D4×Dic53C2311yescharacteristic
364#13133179C2311yescharacteristic
365#13133179C2311yescharacteristic
366#13133179C2311yescharacteristic
367#13133179C2311yescharacteristic
368#13133179C2311yescharacteristic
369#13133179C2311yescharacteristic
370C4×C22⋊D53—21no—
371C4×C22⋊D53—21no—
372C4×C22⋊D53—21no—
373C4×C22⋊D53C2311yescharacteristic
374C4×C22⋊D53C2311yescharacteristic
375#13133177—21no—
376#13133177—21no—
377#13133177—21no—
378#13133177—21no—
379#13133177—21no—
380#13133176C2311yescharacteristic
381#13133175C2311yescharacteristic
382#13133174—21no—
383#13133174—21no—
384#13133174C2311yescharacteristic
385#13133173—21no—
386C2×C22⋊Dic53—21no—
387C2×#11719921—21no—
388C22⋊C4×D53—21no—
389C22⋊C4×D53—21no—
390C22⋊C4×D53—21no—
391C22⋊C4×D53—21no—
392C22⋊C4×D53—21no—
393C22⋊C4×D53—21no—
394C2×C4×Dic53C2311yescharacteristic
395C42×D53—21no—
396#13133151C2311yescharacteristic
397#13133150C2311yescharacteristic
398#13133150C2311yescharacteristic
399#13133148C2311yescharacteristic
400#13133148C2311yescharacteristic
401C4⋊#88322C2311yescharacteristic
402#13133146C2311yescharacteristic
403#13133146C2311yescharacteristic
404#13133146C2311yescharacteristic
405#13133146C2311yescharacteristic
406#13133146C2311yescharacteristic
407#13133146C2311yescharacteristic
408#13133146C2311yescharacteristic
409#13133146C2311yescharacteristic
410#13133142C2311yescharacteristic
411#13133142C2311yescharacteristic
412#13133140C2311yescharacteristic
413#13133140C2311yescharacteristic
414#13133140C2311yescharacteristic
415#13133140C2311yescharacteristic
416#13133139C2311yescharacteristic
417#13133139C2311yescharacteristic
418#13133139C2311yescharacteristic
419#13133139C2311yescharacteristic
420#13133138C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133138C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133137C2311yescharacteristic
425#13133137C2311yescharacteristic
426#13133137C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429#13133137C2311yescharacteristic
430#13133137C2311yescharacteristic
431#13133137C2311yescharacteristic
432C22⋊#88322C2311yescharacteristic
433C22⋊#88322C2311yescharacteristic
434#13133129C2311yescharacteristic
435#13133129C2311yescharacteristic
436#13133128C2311yescharacteristic
437#13133127C2311yescharacteristic
438C8×Dic53C2311yescharacteristic
439C8×Dic53C2311yescharacteristic
440C8×Dic53C2311yescharacteristic
441C22×D4×C53—21no—
442C22×D4×C53C2311yescharacteristic
443C22×D4×C53C2311yescharacteristic
444C2×D8×C53C2311yescharacteristic
445C2×D8×C53C2311yescharacteristic
446C2×D8×C53C2311yescharacteristic
447C2×M16×C53C2311yescharacteristic
448C2×M16×C53C2311yescharacteristic
449C4⋊Q8×C53C2311yescharacteristic
450#127×C53C2311yescharacteristic
451#124×C53—21no—
452#124×C53—21no—
453#121×C53—21no—
454#121×C53—21no—
455#121×C53C2311yescharacteristic
456#121×C53C2311yescharacteristic
457#121×C53C2311yescharacteristic
458#121×C53C2311yescharacteristic
459#120×C53—21no—
460#120×C53—21no—
461C4×D4×C53C2311yescharacteristic
462C4×D4×C53C2311yescharacteristic
463C4×D4×C53C2311yescharacteristic
464#117×C53—21no—
465#117×C53C2311yescharacteristic
466#117×C53C2311yescharacteristic
467#107×C53C2311yescharacteristic
468#106×C53C2311yescharacteristic
469#106×C53C2311yescharacteristic
470C4⋊C8×C53C2311yescharacteristic
471#102×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477#102×C53C2311yescharacteristic
478#102×C53C2311yescharacteristic
479#102×C53C2311yescharacteristic
480#102×C53C2311yescharacteristic
481C22⋊C8×C53C2311yescharacteristic
482C22⋊C8×C53C2311yescharacteristic
483C4×C8×C53C2311yescharacteristic
484C24×C53—21no—
485C24×C53—21no—
486C23×D53—21no—
487C23×D53—21no—
488C23×D53—21no—
489C23×D53—21no—
490C2×Q8×C53—21no—
491C2×D4×C53—21no—
492C2×D4×C53—21no—
493C2×D4×C53—21no—
494C2×D4×C53—21no—
495C2×D4×C53—21no—
496C2×D4×C53—21no—
497C2×D4×C53—21no—
498C2×D4×C53—21no—
499C2×D4×C53—41no—
500C2×D4×C53—41no—
501C2×D4×C53—41no—
502C2×D4×C53—41no—
503C2×D4×C53—82no—
504C2×D4×C53C2×D411yescharacteristic
505C2×D4×C53C2411yescharacteristic
506C2×D4×C53C2411yescharacteristic
507C2×D4×C53C2411yescharacteristic
508C2×D4×C53C2411yescharacteristic
509C22×C4×C53—21no—
510C22×C4×C53—21no—
511C22×C4×C53C2411yescharacteristic
512C22×C4×C53C2411yescharacteristic
513C2×C22⋊D53—21no—
514C2×C22⋊D53—21no—
515C2×C22⋊D53—21no—
516C2×C22⋊D53—21no—
517C2×C22⋊D53—21no—
518C2×C22⋊D53—21no—
519C2×C22⋊D53—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—82no—
534C2×C22⋊D53—82no—
535C2×C22⋊D53—82no—
536C2×C22⋊D53C2×D411yescharacteristic
537C2×C22⋊D53C2×D411yescharacteristic
538C22×Dic53—21no—
539C22×Dic53—21no—
540C22×Dic53—21no—
541C22×Dic53—21no—
542C22×Dic53C2×D411yescharacteristic
543C22×Dic53C2×D411yescharacteristic
544Q8×D53—82no—
545#11719947—41no—
546#11719947—41no—
547#11719947—82no—
548#11719947—82no—
549D4×D53—22no—
550D4×D53—41no—
551D4×D53—41no—
552D4×D53—41no—
553D4×D53—82no—
554D4×D53—82no—
555#11719945—22no—
556#11719945—41no—
557#11719945—41no—
558#11719945—41no—
559C2×D212—22no—
560C2×D212—21no—
561C2×D212—21no—
562C2×D212—21no—
563C2×D212—21no—
564C2×D212—41no—
565C2×D212—41no—
566C2×D212—41no—
567C2×D212C2411yescharacteristic
568C2×D212C2411yescharacteristic
569C2×D212C2411yescharacteristic
570C2×D212C2411yescharacteristic
571C2×C4×D53—21no—
572C2×C4×D53—21no—
573C2×C4×D53—21no—
574C2×C4×D53—21no—
575C2×C4×D53—21no—
576C2×C4×D53—21no—
577C2×C4×D53—21no—
578C2×C4×D53—21no—
579C2×C4×D53—21no—
580C2×C4×D53—21no—
581C2×C4×D53C2411yescharacteristic
582C2×Dic106—21no—
583C2×Dic106—21no—
584C2×Dic106C2×D411yescharacteristic
585C2×Dic106C2411yescharacteristic
586C2×Dic106C2411yescharacteristic
587D8×C53—41no—
588D8×C53—41no—
589D8×C53—41no—
590M16×C53—41no—
591M16×C53—41no—
592C2×C8×C53C2411yescharacteristic
593C2×C8×C53C2411yescharacteristic
594C2×C8×C53C2411yescharacteristic
595C2×C8×C53C2411yescharacteristic
596C4⋊C4×C53—21no—
597C4⋊C4×C53C2×D411yescharacteristic
598C4⋊C4×C53C2411yescharacteristic
599C4⋊C4×C53C2411yescharacteristic
600C4⋊C4×C53C2411yescharacteristic
601C4⋊C4×C53C2411yescharacteristic
602C22⋊C4×C53—21no—
603C22⋊C4×C53—21no—
604C22⋊C4×C53—21no—
605C22⋊C4×C53—21no—
606C22⋊C4×C53—21no—
607C22⋊C4×C53—21no—
608C22⋊C4×C53—21no—
609C22⋊C4×C53—21no—
610C22⋊C4×C53C2×D411yescharacteristic
611C22⋊C4×C53C2×D411yescharacteristic
612C42×C53—21no—
613C42×C53—21no—
614C42×C53C2411yescharacteristic
615C22⋊Dic53—21no—
616C22⋊Dic53—21no—
617C22⋊Dic53—21no—
618C22⋊Dic53—21no—
619C22⋊Dic53—21no—
620C22⋊Dic53—21no—
621C22⋊Dic53—21no—
622C22⋊Dic53—21no—
623C22⋊Dic53—21no—
624C22⋊Dic53—21no—
625C22⋊Dic53—21no—
626C22⋊Dic53—21no—
627C22⋊Dic53C2×D411yescharacteristic
628C22⋊Dic53C2×D411yescharacteristic
629C22⋊Dic53C2×D411yescharacteristic
630C22⋊Dic53C2×D411yescharacteristic
631#11719923—41no—
632#11719923—41no—
633#11719923—41no—
634#11719923—41no—
635#11719922—22no—
636#11719922—22no—
637#11719922—22no—
638#11719922—41no—
639#11719922—41no—
640#11719922—41no—
641#11719922—41no—
642#11719922—41no—
643#11719921—21no—
644#11719921—21no—
645#11719921—21no—
646#11719921—21no—
647#11719921—21no—
648#11719921—21no—
649#11719921—21no—
650#11719921—21no—
651#11719921—21no—
652#11719921—21no—
653#11719921—21no—
654#11719921—21no—
655#11719921—21no—
656#11719921—21no—
657#11719921—21no—
658#11719921—21no—
659#11719921—21no—
660#11719921—21no—
661#11719921C2×D411yescharacteristic
662#11719921C2×D411yescharacteristic
663#11719921C2×D411yescharacteristic
664#11719921C2×D411yescharacteristic
665C4⋊Dic53—21no—
666C4⋊Dic53—21no—
667C4⋊Dic53C2×D411yescharacteristic
668C4⋊Dic53C2×D411yescharacteristic
669C4⋊Dic53C2×D411yescharacteristic
670C4⋊Dic53C2411yescharacteristic
671C4⋊Dic53C2411yescharacteristic
672#11719919—21no—
673#11719919—21no—
674#11719919—21no—
675#11719919—21no—
676#11719919—21no—
677#11719919—21no—
678#11719919—21no—
679#11719919—21no—
680#11719919C2×D411yescharacteristic
681#11719919C2×D411yescharacteristic
682#11719919C2×D411yescharacteristic
683#11719919C2×D411yescharacteristic
684#11719919C2×D411yescharacteristic
685#11719919C2×D411yescharacteristic
686C4×Dic53—21no—
687C4×Dic53—21no—
688C4×Dic53—21no—
689C4×Dic53—21no—
690C4×Dic53C2×D411yescharacteristic
691C4×Dic53C2×D411yescharacteristic
692C4×Dic53C2411yescharacteristic
693C4×Dic53C2411yescharacteristic
694C4×Dic53C2411yescharacteristic
695#11719917—41no—
696C2×#88322—41no—
697C2×#88322C2411yescharacteristic
698C2×#88322C2411yescharacteristic
699C2×#88322C2411yescharacteristic
700C2×#88322C2411yescharacteristic
701Dic212—41no—
702D424—22no—
703D424—22no—
704D424—41no—
705D424—41no—
706#11719913—22no—
707#11719913—41no—
708#11719913—41no—
709#11719913—41no—
710#11719912—41no—
711C8×D53—41no—
712C23×C53—21no—
713C23×C53—21no—
714C23×C53—21no—
715C23×C53—21no—
716C23×C53—42no—
717C23×C53—81no—
718C23×C53—81no—
719C23×C53—81no—
720C23×C53—81no—
721C23×C53—81no—
722C23×C53C22×D411yescharacteristic
723C23×C53C22×D411yescharacteristic
724C22×D53—21no—
725C22×D53—21no—
726C22×D53—21no—
727C22×D53—21no—
728C22×D53—42no—
729C22×D53—42no—
730C22×D53—42no—
731C22×D53—81no—
732C22×D53—81no—
733C22×D53—81no—
734C22×D53—81no—
735C22×D53—81no—
736C22×D53—81no—
737C22×D53—81no—
738C22×D53—81no—
739C22×D53—81no—
740C22×D53C22×D411yescharacteristic
741Q8×C53—81no—
742D4×C53—21no—
743D4×C53—21no—
744D4×C53—21no—
745D4×C53—21no—
746D4×C53—21no—
747D4×C53—21no—
748D4×C53—21no—
749D4×C53—21no—
750D4×C53—41no—
751D4×C53—42no—
752D4×C53—81no—
753D4×C53—81no—
754D4×C53—81no—
755D4×C53—81no—
756D4×C53—81no—
757D4×C53—81no—
758D4×C53—81no—
759C2×C4×C53—21no—
760C2×C4×C53—21no—
761C2×C4×C53—21no—
762C2×C4×C53—21no—
763C2×C4×C53—21no—
764C2×C4×C53—21no—
765C2×C4×C53—21no—
766C2×C4×C53—21no—
767C2×C4×C53—81no—
768C2×C4×C53—81no—
769C2×C4×C53C22×D411yescharacteristic
770C2×C4×C53C22×D411yescharacteristic
771C2×C4×C53C22×D411yescharacteristic
772C2×C4×C53C22×D411yescharacteristic
773C2×C4×C53C2511yescharacteristic
774C22⋊D53—22no—
775C22⋊D53—41no—
776C22⋊D53—42no—
777C22⋊D53—42no—
778C22⋊D53—42no—
779C22⋊D53—42no—
780C22⋊D53—42no—
781C22⋊D53—81no—
782C22⋊D53—81no—
783C22⋊D53—81no—
784C22⋊D53—81no—
785C22⋊D53—81no—
786C22⋊D53—81no—
787C22⋊D53—81no—
788C22⋊D53—81no—
789C22⋊D53—81no—
790C22⋊D53—81no—
791C22⋊D53—81no—
792C22⋊D53—81no—
793C22⋊D53—81no—
794C22⋊D53—81no—
795C22⋊D53—81no—
796C2×Dic53—22no—
797C2×Dic53—21no—
798C2×Dic53—21no—
799C2×Dic53—21no—
800C2×Dic53—21no—
801C2×Dic53—41no—
802C2×Dic53—42no—
803C2×Dic53—81no—
804C2×Dic53—81no—
805C2×Dic53—81no—
806C2×Dic53C22×D411yescharacteristic
807C2×Dic53C22×D411yescharacteristic
808C2×Dic53C22×D411yescharacteristic
809C2×Dic53C22×D411yescharacteristic
810C2×Dic53C22×D411yescharacteristic
811C2×Dic53C22×D411yescharacteristic
812C2×Dic53C22×D411yescharacteristic
813D212—21no—
814D212—21no—
815D212—21no—
816D212—21no—
817D212—21no—
818D212—21no—
819D212—21no—
820D212—42no—
821D212—81no—
822D212—81no—
823D212—81no—
824D212H(5,𝔽2)12yes—
825C4×D53—21no—
826C4×D53—21no—
827C4×D53—42no—
828C4×D53—42no—
829C4×D53—81no—
830C4×D53—81no—
831C4×D53—81no—
832C4×D53—81no—
833C4×D53—81no—
834C4×D53—81no—
835C4×D53—81no—
836C4×D53—81no—
837Dic106—22no—
838Dic106—21no—
839Dic106—21no—
840Dic106—21no—
841Dic106—21no—
842Dic106—42no—
843Dic106—81no—
844C8×C53—21no—
845C8×C53—21no—
846C8×C53—21no—
847C8×C53—21no—
848#88322—21no—
849#88322—21no—
850#88322—21no—
851#88322—21no—
852#62031—531nomaximal, Sylow
853C22×C53—21no—
854C22×C53—21no—
855C22×C53—21no—
856C22×C53—21no—
857C22×C53—21no—
858C22×C53—21no—
859C22×C53—41no—
860C22×C53—41no—
861C22×C53—41no—
862C22×C53—41no—
863C22×C53—41no—
864C22×C53—41no—
865C22×C53—41no—
866C22×C53—41no—
867C22×C53—41no—
868C22×C53—41no—
869C22×C53—41no—
870C22×C53—41no—
871C22×C53—162no—
872C22×C53—162no—
873C22×C53C23×D411yescharacteristic
874C2×D53—21no—
875C2×D53—21no—
876C2×D53—22no—
877C2×D53—21no—
878C2×D53—41no—
879C2×D53—41no—
880C2×D53—41no—
881C2×D53—41no—
882C2×D53—41no—
883C2×D53—41no—
884C2×D53—41no—
885C2×D53—41no—
886C2×D53—41no—
887C2×D53—41no—
888C2×D53—41no—
889C2×D53—162no—
890C2×D53—162no—
891C2×D53—162no—
892C2×D53—162no—
893C4×C53—21no—
894C4×C53—21no—
895C4×C53—21no—
896C4×C53—21no—
897C4×C53—41no—
898C4×C53—41no—
899C4×C53—41no—
900C4×C53—41no—
901C4×C53C2×H(5,𝔽2)11yescharacteristic
902C4×C53#58511yescharacteristic
903Dic53—21no—
904Dic53—21no—
905Dic53—21no—
906Dic53—21no—
907Dic53—21no—
908Dic53—21no—
909Dic53—41no—
910Dic53—41no—
911Dic53—41no—
912Dic53—41no—
913Dic53#57612yes—
914#3543—531no—
915#3514—531no—
916#3399—531no—
917#3396—531no—
918#3373—531no—
919#3358—531no—
920#3325—531no—
921#3325D5311yescharacteristic, complemented
922#3324—531no—
923#3319—531no—
924#3319—531no—
925#3304—531no—
926D4×D8—531no—
927#3274—531no—
928#3273—531no—
929#3273—531no—
930#3264—531no—
931#3264—531no—
932#3257—531no—
933#3257—531no—
934#3251—531no—
935#3224—531no—
936#3224—531no—
937#3205—531no—
938#3122—531no—
939#3122—531no—
940#3102—531no—
941#3041—531no—
942#3041—531no—
943#3038—531no—
944#2993—531no—
945C2×C53—41no—
946C2×C53—41no—
947C2×C53—81no—
948C2×C53—81no—
949C2×C53—81no—
950C2×C53—81no—
951C2×C53#348811yescharacteristic
952C2×C53C2×#57611yescharacteristic
953C2×C53#358511yescharacteristic
954D53—41no—
955D53—42no—
956D53—81no—
957D53—81no—
958D53—81no—
959C2×AGL(1,ℤ/8)—531no—
960C2×AGL(1,ℤ/8)—531no—
961C2×AGL(1,ℤ/8)—531no—
962C2×AGL(1,ℤ/8)—531no—
963C22×D8—531no—
964C22×D8—531no—
965#560—1061no—
966#560—1061no—
967#559—531no—
968#559—531no—
969#556—531no—
970#555—531no—
971#555C2×D5311yescharacteristic, complemented
972#551—1061no—
973#551—1061no—
974#550—531no—
975#550—531no—
976D4×Q8—531no—
977#548—1061no—
978#546—531no—
979#546—531no—
980#546—531no—
981#546—531no—
982#546—1061no—
983#546—1061no—
984D42—531no—
985D42—531no—
986D42—531no—
987D42—1061no—
988D42C2×D5311yescharacteristic, complemented
989#542—531no—
990#542—531no—
991#540—531no—
992#540—531no—
993#540—1061no—
994#538—1061no—
995#538—1061no—
996#535—531no—
997#535—531no—
998#535—1061no—
999#534—1061no—
1000#534—1061no—
1001#532—531no—
1002C2×#127—531no—
1003#529—531no—
1004#529—531no—
1005#529—1061no—
1006C2×#124—1061no—
1007#518—531no—
1008#518—531no—
1009C4×#41—531no—
1010#496—531no—
1011#496—531no—
1012#495—531no—
1013#495—531no—
1014#493—531no—
1015#493—531no—
1016#489—531no—
1017#489—531no—
1018#486—531no—
1019#486—531no—
1020#486—531no—
1021#486C2×D5311yescharacteristic, complemented
1022#485—531no—
1023#482—531no—
1024#482—531no—
1025#482—531no—
1026#482C2×D5311yescharacteristic, complemented
1027#482C2×D5311yescharacteristic, complemented
1028#479—531no—
1029#478—531no—
1030#478—531no—
1031#478—531no—
1032#476—531no—
1033#476C2×D5311yescharacteristic, complemented
1034#475—531no—
1035#474—531no—
1036#474—531no—
1037#474—531no—
1038#469—531no—
1039#469—531no—
1040#469C2×D5311yescharacteristic, complemented
1041#469C2×D5311yescharacteristic, complemented
1042#468—531no—
1043#468—531no—
1044#468—531no—
1045#468—531no—
1046#466—531no—
1047#466—531no—
1048#465—531no—
1049#465—531no—
1050#464—531no—
1051#463—531no—
1052#463—531no—
1053#463—531no—
1054#463—531no—
1055#463—531no—
1056#463—531no—
1057#463—531no—
1058#463—531no—
1059#463—531no—
1060#463—531no—
1061#463—531no—
1062#460—531no—
1063#460—531no—
1064#460—531no—
1065#460—531no—
1066#460—531no—
1067#459—531no—
1068#459—531no—
1069#459—531no—
1070#459—531no—
1071#459—531no—
1072#459—531no—
1073#459—531no—
1074#459—531no—
1075#459—531no—
1076#459—531no—
1077#459—531no—
1078#459—531no—
1079#459C2×D5311yescharacteristic, complemented
1080#452—531no—
1081#452—531no—
1082#452—531no—
1083#450—531no—
1084#450—531no—
1085#449—531no—
1086#449—531no—
1087#449—531no—
1088#447—531no—
1089#447—531no—
1090#447—531no—
1091#447—531no—
1092#447—531no—
1093#447—531no—
1094#447—531no—
1095#447—531no—
1096#447C2×D5311yescharacteristic, complemented
1097#447C2×D5311yescharacteristic, complemented
1098#446—531no—
1099C8×Q8—531no—
1100#442—531no—
1101#442—531no—
1102#442—531no—
1103#442—531no—
1104C4×Q16—531no—
1105C4×SD16—531no—
1106C4×SD16—531no—
1107C4×D8—531no—
1108C4×D8—531no—
1109C4×D8—531no—
1110C4×D8—531no—
1111C4×D8C2×D5311yescharacteristic, complemented
1112#436—531no—
1113#436—531no—
1114#436C2×D5311yescharacteristic, complemented
1115#435—531no—
1116#435—531no—
1117C8×D4—531no—
1118#433—531no—
1119#433—531no—
1120#431—531no—
1121#424—531no—
1122#424—531no—
1123#423—531no—
1124#418—531no—
1125#418—531no—
1126#418C2×D5311yescharacteristic, complemented
1127#418C2×D5311yescharacteristic, complemented
1128#416—531no—
1129#416—531no—
1130C53#6203111yescharacteristic, complemented, Sylow
1131C2×#41—531no—
1132C2×#41—531no—
1133C2×#41—531no—
1134C2×#41—1061no—
1135C2×#41—1061no—
1136C22×Q8—1061no—
1137C22×D4—21no—
1138C22×D4—531no—
1139C22×D4—531no—
1140C22×D4—531no—
1141C22×D4—531no—
1142C22×D4—1061no—
1143C22×D4—1061no—
1144C22×D4—1061no—
1145C22×D4—1061no—
1146C22×D4—1061no—
1147C22×D4C22×D5311yescharacteristic
1148C22×D4C22×D5311yescharacteristic
1149AGL(1,ℤ/8)—2122no—
1150AGL(1,ℤ/8)—2122no—
1151AGL(1,ℤ/8)—2122no—
1152AGL(1,ℤ/8)—2122no—
1153C2×Q16—531no—
1154C2×SD16—531no—
1155C2×SD16—531no—
1156C2×SD16—531no—
1157C2×SD16—531no—
1158C2×SD16—531no—
1159C2×SD16—531no—
1160C2×SD16—531no—
1161C2×SD16—531no—
1162C2×D8—531no—
1163C2×D8—531no—
1164C2×D8—531no—
1165C2×D8—531no—
1166C2×D8—531no—
1167C2×D8—531no—
1168C2×D8—531no—
1169C2×D8—531no—
1170C2×D8—531no—
1171C2×D8—531no—
1172C2×D8—531no—
1173C2×D8—531no—
1174C2×D8—2122no—
1175C2×D8—2122no—
1176C2×D8C22×D5311yescharacteristic
1177C2×D8C22×D5311yescharacteristic
1178C2×D8C22×D5311yescharacteristic
1179C2×M16—531no—
1180C2×M16—531no—
1181C2×M16C22×D5311yescharacteristic
1182C2×M16C22×D5311yescharacteristic
1183C22×C8—531no—
1184C22×C8—531no—
1185C4⋊Q8—531no—
1186C4⋊Q8—531no—
1187C4⋊Q8C22×D5311yescharacteristic
1188#127—531no—
1189#127—531no—
1190#127—531no—
1191#127—531no—
1192#127—531no—
1193#127—531no—
1194#127—1061no—
1195#127—1061no—
1196#127—1061no—
1197#127C22×D5311yescharacteristic
1198#126—531no—
1199#126—531no—
1200#126—1061no—
1201#126—1061no—
1202#126—1061no—
1203#126—1061no—
1204#126—1061no—
1205#125—531no—
1206#125—531no—
1207#124—21no—
1208#124—21no—
1209#124—531no—
1210#124—531no—
1211#124—531no—
1212#124—531no—
1213#124—531no—
1214#124—531no—
1215#124—1061no—
1216#124—1061no—
1217#124—1061no—
1218#124—1061no—
1219#124—1061no—
1220#124—1061no—
1221#124—1061no—
1222#124—1061no—
1223#123—531no—
1224#123—531no—
1225#123—1061no—
1226#123—1061no—
1227#123—1061no—
1228#123—1061no—
1229#123—1061no—
1230#123—1061no—
1231#123—1061no—
1232#123—1061no—
1233#123—1061no—
1234#123—1061no—
1235#123—1061no—
1236#123—1061no—
1237#123—1061no—
1238#123—1061no—
1239#123—1061no—
1240C22⋊Q8—531no—
1241C22⋊Q8—531no—
1242C22⋊Q8—531no—
1243C22⋊Q8—531no—
1244C22⋊Q8—1061no—
1245C22⋊Q8—1061no—
1246C22⋊Q8—1061no—
1247C22⋊Q8—1061no—
1248C22⋊Q8—1061no—
1249#121—21no—
1250#121—21no—
1251#121—531no—
1252#121—531no—
1253#121—531no—
1254#121—531no—
1255#121—531no—
1256#121—531no—
1257#121—1061no—
1258#121—1061no—
1259#121—1061no—
1260#121—1061no—
1261#121—1061no—
1262#121—1061no—
1263#121—1061no—
1264#121—1061no—
1265#121—1061no—
1266#121—1061no—
1267#121—1061no—
1268#121—1061no—
1269#121—1061no—
1270#121—1061no—
1271#121—1061no—
1272#121—1061no—
1273#121—1061no—
1274#121—1061no—
1275#121—1061no—
1276#121—1061no—
1277#121—1061no—
1278#121—1061no—
1279#121C22×D5311yescharacteristic
1280#121C22×D5311yescharacteristic
1281#121C22×D5311yescharacteristic
1282#121C22×D5311yescharacteristic
1283#120—21no—
1284#120—21no—
1285#120—1061no—
1286#120—1061no—
1287#120—1061no—
1288#120—1061no—
1289#120—1061no—
1290#120—1061no—
1291#120—1061no—
1292#120—1061no—
1293#120—1061no—
1294#120—1061no—
1295#120—1061no—
1296#120—1061no—
1297#120—1061no—
1298#120—1061no—
1299C4×Q8—531no—
1300C4×Q8—531no—
1301C4×Q8—531no—
1302C4×Q8—531no—
1303C4×Q8—1061no—
1304C4×D4—531no—
1305C4×D4—531no—
1306C4×D4—531no—
1307C4×D4—531no—
1308C4×D4—531no—
1309C4×D4—531no—
1310C4×D4—531no—
1311C4×D4—531no—
1312C4×D4—531no—
1313C4×D4—531no—
1314C4×D4—531no—
1315C4×D4—531no—
1316C4×D4—531no—
1317C4×D4—1061no—
1318C4×D4—1061no—
1319C4×D4—1061no—
1320C4×D4—1061no—
1321C4×D4—1061no—
1322C4×D4—1061no—
1323C4×D4—1061no—
1324C4×D4—1061no—
1325C4×D4—1061no—
1326C4×D4—1061no—
1327C4×D4—1061no—
1328C4×D4C22×D5311yescharacteristic
1329C4×D4C22×D5311yescharacteristic
1330C4×D4C22×D5311yescharacteristic
1331#117—21no—
1332#117—531no—
1333#117—531no—
1334#117—531no—
1335#117—1061no—
1336#117—1061no—
1337#117—1061no—
1338#117C22×D5311yescharacteristic
1339#117C22×D5311yescharacteristic
1340C2×C22⋊C4—1061no—
1341C2×C22⋊C4—1061no—
1342C2×C22⋊C4—1061no—
1343C2×C22⋊C4—1061no—
1344C2×C22⋊C4—1061no—
1345C2×C22⋊C4—1061no—
1346C2×C22⋊C4—1061no—
1347C2×C22⋊C4—1061no—
1348C2×C42—531no—
1349C2×C42—1061no—
1350#107—531no—
1351#107—531no—
1352#107—531no—
1353#107C22×D5311yescharacteristic
1354#106—531no—
1355#106—531no—
1356#106C22×D5311yescharacteristic
1357#106C22×D5311yescharacteristic
1358C4⋊C8—531no—
1359C4⋊C8—531no—
1360C4⋊C8—531no—
1361C4⋊C8—531no—
1362C4⋊C8—531no—
1363C4⋊C8—531no—
1364C4⋊C8—531no—
1365C4⋊C8—531no—
1366C4⋊C8—531no—
1367C4⋊C8C22×D5311yescharacteristic
1368#103—531no—
1369#103—531no—
1370#103—531no—
1371#103—531no—
1372#103—531no—
1373#103—531no—
1374#102—531no—
1375#102—531no—
1376#102—531no—
1377#102—531no—
1378#102—531no—
1379#102—531no—
1380#102—531no—
1381#102—531no—
1382#102—531no—
1383#102—531no—
1384#102—531no—
1385#102—531no—
1386#102—531no—
1387#102—531no—
1388#102—531no—
1389#102—531no—
1390#102C22×D5311yescharacteristic
1391#102C22×D5311yescharacteristic
1392#102C22×D5311yescharacteristic
1393#102C22×D5311yescharacteristic
1394#102C22×D5311yescharacteristic
1395#102C22×D5311yescharacteristic
1396#102C22×D5311yescharacteristic
1397#102C22×D5311yescharacteristic
1398#102C22×D5311yescharacteristic
1399#102C22×D5311yescharacteristic
1400C22⋊C8—531no—
1401C22⋊C8—531no—
1402C22⋊C8—531no—
1403C22⋊C8—531no—
1404C22⋊C8C22×D5311yescharacteristic
1405C22⋊C8C22×D5311yescharacteristic
1406#97—531no—
1407#97—531no—
1408C4×C8—531no—
1409C4×C8—531no—
1410C4×C8—531no—
1411C4×C8C22×D5311yescharacteristic
1412C24—21no—
1413C24—21no—
1414C24—1061no—
1415C24—1061no—
1416C24—1061no—
1417C24—1061no—
1418#41—1062no—
1419#41—4242no—
1420#41—4242no—
1421#41—2121no—
1422#41—2121no—
1423#41—2121no—
1424#41—2121no—
1425#41—2121no—
1426C2×Q8—21no—
1427C2×Q8—531no—
1428C2×Q8—531no—
1429C2×Q8—531no—
1430C2×Q8—1061no—
1431C2×Q8—1061no—
1432C2×Q8—4242no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—21no—
1441C2×D4—41no—
1442C2×D4—41no—
1443C2×D4—41no—
1444C2×D4—41no—
1445C2×D4—82no—
1446C2×D4—531no—
1447C2×D4—531no—
1448C2×D4—531no—
1449C2×D4—531no—
1450C2×D4—531no—
1451C2×D4—531no—
1452C2×D4—1062no—
1453C2×D4—1061no—
1454C2×D4—1061no—
1455C2×D4—1061no—
1456C2×D4—1061no—
1457C2×D4—1061no—
1458C2×D4—1061no—
1459C2×D4—1061no—
1460C2×D4—1061no—
1461C2×D4—1061no—
1462C2×D4—1061no—
1463C2×D4—1061no—
1464C2×D4—1061no—
1465C2×D4—1061no—
1466C2×D4—1061no—
1467C2×D4—1061no—
1468C2×D4—1061no—
1469C2×D4—1062no—
1470C2×D4—1061no—
1471C2×D4—1061no—
1472C2×D4—1061no—
1473C2×D4—1061no—
1474C2×D4—1061no—
1475C2×D4—1061no—
1476C2×D4—1061no—
1477C2×D4—1061no—
1478C2×D4—4242no—
1479C2×D4—4242no—
1480C2×D4—4242no—
1481C2×D4—4242no—
1482C2×D4—4242no—
1483C2×D4—2121no—
1484C2×D4—2121no—
1485C2×D4—2121no—
1486C2×D4—2121no—
1487C2×D4—2121no—
1488C2×D4—2121no—
1489C2×D4D4×D5311yescharacteristic
1490C2×D4C23×D5311yescharacteristic
1491C2×D4C23×D5311yescharacteristic
1492C2×D4C23×D5311yescharacteristic
1493C2×D4C23×D5311yescharacteristic
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—531no—
1497C22×C4—531no—
1498C22×C4—531no—
1499C22×C4—1061no—
1500C22×C4—1061no—
1501C22×C4—1061no—
1502C22×C4—1061no—
1503C22×C4—1061no—
1504C22×C4—1061no—
1505C22×C4—1061no—
1506C22×C4—1061no—
1507C22×C4—1061no—
1508C22×C4—1061no—
1509C22×C4—1061no—
1510C22×C4—1061no—
1511C22×C4—1061no—
1512C22×C4—1061no—
1513C22×C4C23×D5311yescharacteristic
1514C22×C4C23×D5311yescharacteristic
1515Q16—2121no—
1516SD16—1062no—
1517SD16—2121no—
1518SD16—2121no—
1519SD16—2121no—
1520SD16—2121no—
1521SD16—2121no—
1522SD16—2121no—
1523SD16—2121no—
1524D8—41no—
1525D8—41no—
1526D8—41no—
1527D8—1062no—
1528D8—1062no—
1529D8—1062no—
1530D8—1062no—
1531D8—1062no—
1532D8—2121no—
1533D8—2121no—
1534D8—2121no—
1535D8—2121no—
1536D8—2121no—
1537D8—2121no—
1538D8—2121no—
1539M16—41no—
1540M16—41no—
1541M16—2121no—
1542M16—2121no—
1543C2×C8—531no—
1544C2×C8—531no—
1545C2×C8—531no—
1546C2×C8—531no—
1547C2×C8—2121no—
1548C2×C8—2121no—
1549C2×C8C23×D5311yescharacteristic
1550C2×C8C23×D5311yescharacteristic
1551C2×C8C23×D5311yescharacteristic
1552C2×C8C23×D5311yescharacteristic
1553C4⋊C4—21no—
1554C4⋊C4—531no—
1555C4⋊C4—531no—
1556C4⋊C4—531no—
1557C4⋊C4—531no—
1558C4⋊C4—531no—
1559C4⋊C4—531no—
1560C4⋊C4—531no—
1561C4⋊C4—531no—
1562C4⋊C4—531no—
1563C4⋊C4—531no—
1564C4⋊C4—531no—
1565C4⋊C4—1061no—
1566C4⋊C4—1061no—
1567C4⋊C4—1061no—
1568C4⋊C4—1061no—
1569C4⋊C4—1061no—
1570C4⋊C4—1061no—
1571C4⋊C4—1061no—
1572C4⋊C4—1061no—
1573C4⋊C4—1061no—
1574C4⋊C4—1061no—
1575C4⋊C4D4×D5311yescharacteristic
1576C4⋊C4C23×D5311yescharacteristic
1577C4⋊C4C23×D5311yescharacteristic
1578C4⋊C4C23×D5311yescharacteristic
1579C4⋊C4C23×D5311yescharacteristic
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—21no—
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—531no—
1589C22⋊C4—531no—
1590C22⋊C4—531no—
1591C22⋊C4—531no—
1592C22⋊C4—531no—
1593C22⋊C4—531no—
1594C22⋊C4—531no—
1595C22⋊C4—531no—
1596C22⋊C4—1061no—
1597C22⋊C4—1061no—
1598C22⋊C4—1061no—
1599C22⋊C4—1061no—
1600C22⋊C4—1061no—
1601C22⋊C4—1061no—
1602C22⋊C4—1061no—
1603C22⋊C4—1061no—
1604C22⋊C4—1061no—
1605C22⋊C4—1061no—
1606C22⋊C4—1061no—
1607C22⋊C4—1061no—
1608C22⋊C4—1061no—
1609C22⋊C4—1061no—
1610C22⋊C4—1061no—
1611C22⋊C4—1061no—
1612C22⋊C4—1061no—
1613C22⋊C4—1061no—
1614C22⋊C4—1061no—
1615C22⋊C4—1061no—
1616C22⋊C4—1061no—
1617C22⋊C4—1061no—
1618C22⋊C4—1061no—
1619C22⋊C4—1061no—
1620C22⋊C4—1061no—
1621C22⋊C4—1061no—
1622C22⋊C4—1061no—
1623C22⋊C4—1061no—
1624C22⋊C4—1061no—
1625C22⋊C4—1061no—
1626C22⋊C4D4×D5311yescharacteristic
1627C22⋊C4D4×D5311yescharacteristic
1628C42—21no—
1629C42—21no—
1630C42—531no—
1631C42—531no—
1632C42—531no—
1633C42—531no—
1634C42—531no—
1635C42—1061no—
1636C42—1061no—
1637C42—1061no—
1638C42—1061no—
1639C42C23×D5311yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—42no—
1645C23—81no—
1646C23—81no—
1647C23—81no—
1648C23—81no—
1649C23—81no—
1650C23—531no—
1651C23—1061no—
1652C23—1061no—
1653C23—1061no—
1654C23—1061no—
1655C23—4241no—
1656C23—4241no—
1657C23—4241no—
1658C23—4241no—
1659C23—4241no—
1660C23—4241no—
1661C23—4241no—
1662C23—4241no—
1663C23—4241no—
1664C23—2122no—
1665C23—2122no—
1666C23—2122no—
1667C23C2×D4×D5311yescharacteristic
1668C23C2×D4×D5311yescharacteristic
1669Q8—81no—
1670Q8—1062no—
1671Q8—1061no—
1672Q8—1061no—
1673Q8—1061no—
1674Q8—1061no—
1675Q8—4241no—
1676Q8—2122no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—21no—
1684D4—21no—
1685D4—41no—
1686D4—42no—
1687D4—81no—
1688D4—81no—
1689D4—81no—
1690D4—81no—
1691D4—81no—
1692D4—81no—
1693D4—81no—
1694D4—532no—
1695D4—1062no—
1696D4—1061no—
1697D4—1061no—
1698D4—1061no—
1699D4—1061no—
1700D4—1061no—
1701D4—1061no—
1702D4—1061no—
1703D4—4241no—
1704D4—4241no—
1705D4—4241no—
1706D4—4241no—
1707D4—4241no—
1708D4—4241no—
1709D4—4241no—
1710D4—4241no—
1711D4—4241no—
1712D4—4241no—
1713D4—4241no—
1714D4—4241no—
1715D4—4241no—
1716D4—4241no—
1717D4—4241no—
1718D4—4241no—
1719D4—4241no—
1720D4—4241no—
1721D4—2122no—
1722D4—2122no—
1723D4—2122no—
1724D4—2122no—
1725D4—2121no—
1726D4—2122no—
1727D4—2122no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—81no—
1737C2×C4—81no—
1738C2×C4—531no—
1739C2×C4—531no—
1740C2×C4—531no—
1741C2×C4—531no—
1742C2×C4—531no—
1743C2×C4—531no—
1744C2×C4—531no—
1745C2×C4—1062no—
1746C2×C4—1061no—
1747C2×C4—1061no—
1748C2×C4—1061no—
1749C2×C4—1061no—
1750C2×C4—1061no—
1751C2×C4—1061no—
1752C2×C4—4241no—
1753C2×C4—4241no—
1754C2×C4—4241no—
1755C2×C4—4241no—
1756C2×C4—4241no—
1757C2×C4—4241no—
1758C2×C4—4241no—
1759C2×C4—4241no—
1760C2×C4—4241no—
1761C2×C4—4241no—
1762C2×C4—4241no—
1763C2×C4—2122no—
1764C2×C4—2122no—
1765C2×C4—2122no—
1766C2×C4—2121no—
1767C2×C4C2×D4×D5311yescharacteristic
1768C2×C4C2×D4×D5311yescharacteristic
1769C2×C4C2×D4×D5311yescharacteristic
1770C2×C4C2×D4×D5311yescharacteristic
1771C2×C4C24×D5311yescharacteristic
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—1061no—
1777C8—1061no—
1778C8—1061no—
1779C8—1061no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—21no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—162no—
1799C22—162no—
1800C22—8482no—
1801C22—8482no—
1802C22—8482no—
1803C22—8482no—
1804C22—1061no—
1805C22—1062no—
1806C22—1061no—
1807C22—1061no—
1808C22—2121no—
1809C22—2121no—
1810C22—2121no—
1811C22—2121no—
1812C22—2121no—
1813C22—2121no—
1814C22—2121no—
1815C22—2121no—
1816C22—2121no—
1817C22—2121no—
1818C22—2121no—
1819C22C22×D4×D5311yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—532no—
1829C4—1061no—
1830C4—1061no—
1831C4—1061no—
1832C4—1061no—
1833C4—1061no—
1834C4—1061no—
1835C4—2121no—
1836C4—2121no—
1837C4—2121no—
1838C4—2121no—
1839C4H(5,𝔽2)×D5311yescharacteristic
1840C4#1681145911yescharacteristic
1841C2—41no—
1842C2—41no—
1843C2—81no—
1844C2—81no—
1845C2—81no—
1846C2—81no—
1847C2—4241no—
1848C2—4241no—
1849C2—4241no—
1850C2—2121no—
1851C2—2122no—
1852C2#2028837811yescharacteristic
1853C2#576×D5311yescharacteristic
1854C2#2028949111yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3325C2
socleC22×C53C23×D4
hypercenter#3325D53
hypocenterC53#62031
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3325

Complements

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

NH ≅ G/Ntype
1. #20289040C2semidirect
2. #20288672C2semidirect
3. #20287760C2semidirect
4. #20287727C2semidirect
5. #20287510C2semidirect
6. #20287347C2semidirect
7. #20286955C2semidirect
8. #20286942C2semidirect
9. #20286872C2semidirect
10. #20286865C2semidirect
11. #20286652C2semidirect
12. #20286385C2semidirect
13. #20286332C2semidirect
14. #20286327C2semidirect
15. #20286326C2semidirect
16. #20286202C2semidirect
17. #20286191C2semidirect
18. #20286127C2semidirect
19. #20286125C2semidirect
20. #20286070C2semidirect
21. #20285812C2semidirect
22. #20285805C2semidirect
23. #20285631C2semidirect
24. #20284955C2semidirect
25. #20284954C2semidirect
26. #20284728C2semidirect
27. #20284217C2semidirect
28. #20284213C2semidirect
29. #20284194C2semidirect
30. #20283861C2semidirect
31. C53×#3325C2semidirect
32. C2×#13133245C22semidirect
33. C2×#13133245C22semidirect
34. C2×#13133243C22semidirect
35. C2×#13133241C22semidirect
36. C22×#11719922C22semidirect
37. C2×D8×D53C22semidirect
40. #16811356C22semidirect
41. #16811356C22semidirect
42. #16811341C22semidirect
43. #16811336C22semidirect
46. #16811293C22semidirect
48. #16811288C22semidirect
50. #16811270C22semidirect
51. #16811269C22semidirect
52. #16811269C22semidirect
53. #16811267C22semidirect
56. #16811257C22semidirect
57. #16811257C22semidirect
60. #16811247C22semidirect
61. #16811240C22semidirect
62. #16811226C22semidirect
63. #16811224C22semidirect
67. #16811190C22semidirect
69. #16811186C22semidirect
72. #16811168C22semidirect
73. C2×#13133213C22semidirect
74. #16811154C22semidirect
78. #16811097C22semidirect
79. #16811095C22semidirect
80. #16811091C22semidirect
81. #16811011C22semidirect
82. #16811010C22semidirect
83. #16811007C22semidirect
84. #16811006C22semidirect
86. #16810998C22semidirect
87. #16810985C22semidirect
88. #16810981C22semidirect
89. #16810968C22semidirect
90. #16810968C22semidirect
91. #16810968C22semidirect
92. #16810964C22semidirect
93. #16810950C22semidirect
94. #16810947C22semidirect
95. #16810945C22semidirect
96. #16810933C22semidirect
97. #16810926C22semidirect
98. #16810922C22semidirect
99. #16810921C22semidirect
100. #16810912C22semidirect
101. #16810907C22semidirect
102. #16810901C22semidirect
103. #16810901C22semidirect
104. #16810900C22semidirect
105. #16810877C22semidirect
106. #16810874C22semidirect
107. #16810869C22semidirect
108. #16810869C22semidirect
109. #16810868C22semidirect
110. #16810867C22semidirect
111. #16810858C22semidirect
112. #16810857C22semidirect
113. #16810853C22semidirect
114. #16810850C22semidirect
115. #16810844C22semidirect
116. #16810839C22semidirect
117. #16810839C22semidirect
118. #16810838C22semidirect
119. #16810838C22semidirect
120. #16810837C22semidirect
121. #16810837C22semidirect
122. #16810837C22semidirect
123. #16810837C22semidirect
124. #16810837C22semidirect
125. #16810836C22semidirect
126. #16810836C22semidirect
127. #16810822C22semidirect
128. #16810822C22semidirect
129. #16810822C22semidirect
130. #16810822C22semidirect
131. #16810822C22semidirect
133. #16810817C22semidirect
134. #16810817C22semidirect
135. #16810817C22semidirect
136. #16810817C22semidirect
137. #16810817C22semidirect
138. #16810817C22semidirect
139. #16810817C22semidirect
140. #16810816C22semidirect
141. #16810816C22semidirect
142. #16810816C22semidirect
143. #16810815C22semidirect
144. #16810787C22semidirect
145. #16810787C22semidirect
146. #16810786C22semidirect
147. #16810775C22semidirect
148. #16810774C22semidirect
149. #16810769C22semidirect
151. #16810766C22semidirect
152. #16810759C22semidirect
153. #16810759C22semidirect
154. #16810758C22semidirect
155. #16810758C22semidirect
156. #16810757C22semidirect
157. #16810756C22semidirect
158. #16810756C22semidirect
159. #16810755C22semidirect
160. #16810752C22semidirect
161. C8×Dic106C22semidirect
162. #16810734C22semidirect
163. #16810733C22semidirect
164. #16810733C22semidirect
165. #16810732C22semidirect
166. #16810717C22semidirect
167. #16810714C22semidirect
168. #16810710C22semidirect
169. C4×D424C22semidirect
170. #16810705C22semidirect
171. #16810703C22semidirect
172. #16810703C22semidirect
173. #16810699C22semidirect
174. #16810698C22semidirect
175. #16810695C22semidirect
176. #16810692C22semidirect
177. #16810686C22semidirect
178. #16810682C22semidirect
179. #16810681C22semidirect
180. #16810673C22semidirect
181. #16810651C22semidirect
182. #16810648C22semidirect
183. #16810646C22semidirect
184. #16810627C22semidirect
185. #16810626C22semidirect
186. #16810617C22semidirect
187. #16810616C22semidirect
188. C53×#555C22semidirect
189. D42×C53C22semidirect
190. C53×#486C22semidirect
191. C53×#482C22semidirect
192. C53×#482C22semidirect
193. C53×#476C22semidirect
194. C53×#469C22semidirect
195. C53×#469C22semidirect
196. C53×#459C22semidirect
197. C53×#447C22semidirect
198. C53×#447C22semidirect
199. C4×D8×C53C22semidirect
200. C53×#436C22semidirect
201. C53×#418C22semidirect
202. C53×#418C22semidirect
921. #3325D53semidirect
971. #555C2×D53semidirect
988. D42C2×D53semidirect
1021. #486C2×D53semidirect
1026. #482C2×D53semidirect
1027. #482C2×D53semidirect
1033. #476C2×D53semidirect
1040. #469C2×D53semidirect
1041. #469C2×D53semidirect
1079. #459C2×D53semidirect
1096. #447C2×D53semidirect
1097. #447C2×D53semidirect
1111. C4×D8C2×D53semidirect
1114. #436C2×D53semidirect
1126. #418C2×D53semidirect
1127. #418C2×D53semidirect
1130. C53#62031semidirect

Maximal subgroups

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

subgroupindex
#202890402
#202886722
#202877602
#202877272
#202875102
#202873472
#202869552
#202869422
#202868722
#202868652
#202866522
#202863852
#202863322
#202863272
#202863262
#202862022
#202861912
#202861272
#202861252
#202860702
#202858122
#202858052
#202856312
#202849552
#202849542
#202847282
#202842172
#202842132
#202841942
#202838612
C53×#33252
#6203153