Finite Group Databasebeta

← #28267128

Subgroups — #28267128

Order 13568.

1800 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288790C211yesmaximal, characteristic, complemented
2#20288772C211yesmaximal, characteristic, complemented
3#20287794C211yesmaximal, characteristic, complemented
4#20287673C211yesmaximal, characteristic, complemented
5#20287365C211yesmaximal, characteristic, complemented
6#20287361C211yesmaximal, characteristic, complemented
7#20287284C211yesmaximal, characteristic, complemented
8#20287263C211yesmaximal, characteristic, complemented
9#20287253C211yesmaximal, characteristic, complemented
10#20286628C211yesmaximal, characteristic, complemented
11#20286627C211yesmaximal, characteristic, complemented
12#20286571C211yesmaximal, characteristic, complemented
13#20286561C211yesmaximal, characteristic, complemented
14#20286552C211yesmaximal, characteristic, complemented
15#20286322C211yesmaximal, characteristic, complemented
16#20286243C211yesmaximal, characteristic, complemented
17#20286238C211yesmaximal, characteristic, complemented
18#20285386C211yesmaximal, characteristic, complemented
19#20285378C211yesmaximal, characteristic, complemented
20#20285284C211yesmaximal, characteristic, complemented
21#20284932C211yesmaximal, characteristic, complemented
22#20284922C211yesmaximal, characteristic, complemented
23#20284900C211yesmaximal, characteristic, complemented
24#20284894C211yesmaximal, characteristic, complemented
25#20284829C211yesmaximal, characteristic, complemented
26#20284823C211yesmaximal, characteristic, complemented
27#20283687C211yesmaximal, characteristic, complemented
28#20283550C211yesmaximal, characteristic, complemented
29#20283541C211yesmaximal, characteristic, complemented
30C4×#13133238C211yesmaximal, characteristic, complemented
31C53×#3296C211yesmaximal, characteristic, complemented
32C2×#13133243C2211yescharacteristic
33C2×#13133242C2211yescharacteristic
34C2×#13133238C2211yescharacteristic
35#16811345C2211yescharacteristic, complemented
36#16811344C2211yescharacteristic, complemented
37#16811342C2211yescharacteristic, complemented
38#16811341C2211yescharacteristic, complemented
39#16811332C2211yescharacteristic, complemented
40#16811329C2211yescharacteristic, complemented
41#16811325C2211yescharacteristic
42#16811321C2211yescharacteristic
43#16811317—21no—
44#16811316—21no—
45#16811313C2211yescharacteristic
46#16811311—21no—
47#16811310—21no—
48#16811304—21no—
49#16811301—21no—
50#16811299—21no—
51#16811298—21no—
52#16811275C2211yescharacteristic
53#16811272C2211yescharacteristic
54#16811269C2211yescharacteristic
55#16811267C2211yescharacteristic, complemented
56#16811264C2211yescharacteristic, complemented
57#16811246C2211yescharacteristic
58#16811240C2211yescharacteristic
59#16811233C2211yescharacteristic, complemented
60#16811233C2211yescharacteristic, complemented
61#16811221—21no—
62#16811217—21no—
63#16811209—21no—
64#16811208—21no—
65#16811158C2211yescharacteristic, complemented
66#16811155C2211yescharacteristic
67#16811154—21no—
68#16811152C2211yescharacteristic, complemented
69#16811151—21no—
70C2×#13133210—21no—
71#126×D53—21no—
72#16811106C2211yescharacteristic
73#16811104C2211yescharacteristic
74#16811098C2211yescharacteristic, complemented
75#16811097C2211yescharacteristic, complemented
76C4×#11719949C2211yescharacteristic, complemented
77C4×#11719947C2211yescharacteristic, complemented
78#16811031C2211yescharacteristic, complemented
79#16811030C2211yescharacteristic, complemented
80#16811022C2211yescharacteristic, complemented
81#16811016C2211yescharacteristic, complemented
82#16811014C2211yescharacteristic, complemented
83#16811005C2211yescharacteristic
84#16810979C2211yescharacteristic, complemented
85#16810978C2211yescharacteristic, complemented
86#16810976C2211yescharacteristic, complemented
87#16810972C2211yescharacteristic, complemented
88#16810972C2211yescharacteristic, complemented
89#16810966C2211yescharacteristic, complemented
90#16810964C2211yescharacteristic, complemented
91#16810963C2211yescharacteristic, complemented
92#16810961C2211yescharacteristic, complemented
93#16810958C2211yescharacteristic, complemented
94#16810956C2211yescharacteristic, complemented
95#16810954C2211yescharacteristic, complemented
96#16810949C2211yescharacteristic, complemented
97#16810948C2211yescharacteristic
98#16810946C2211yescharacteristic, complemented
99#16810933C2211yescharacteristic, complemented
100#16810930C2211yescharacteristic, complemented
101#16810928C2211yescharacteristic, complemented
102#16810927C2211yescharacteristic, complemented
103#16810925C2211yescharacteristic, complemented
104#16810924C2211yescharacteristic, complemented
105#16810922C2211yescharacteristic, complemented
106#16810912C2211yescharacteristic, complemented
107#16810911C2211yescharacteristic, complemented
108#16810902C2211yescharacteristic, complemented
109#16810901C2211yescharacteristic, complemented
110#16810879C2211yescharacteristic, complemented
111#16810879C2211yescharacteristic, complemented
112#16810871C2211yescharacteristic
113#16810867C2211yescharacteristic
114#16810864C2211yescharacteristic, complemented
115#16810863C2211yescharacteristic, complemented
116#16810858C2211yescharacteristic
117#16810855C2211yescharacteristic, complemented
118#16810852C2211yescharacteristic
119#16810851C2211yescharacteristic, complemented
120#16810846C2211yescharacteristic, complemented
121#16810840C2211yescharacteristic
122#16810840C2211yescharacteristic
123#16810838C2211yescharacteristic
124#16810837C2211yescharacteristic
125#16810837C2211yescharacteristic
126#16810835C2211yescharacteristic
127#16810832C2211yescharacteristic, complemented
128#16810831C2211yescharacteristic, complemented
129#16810827C2211yescharacteristic, complemented
130#16810826C2211yescharacteristic, complemented
131#16810787C2211yescharacteristic
132#16810786C2211yescharacteristic, complemented
133#16810785C2211yescharacteristic
134#16810784C2211yescharacteristic, complemented
135#16810783C2211yescharacteristic
136#16810776C2211yescharacteristic, complemented
137#16810769C2211yescharacteristic
138#16810767C2211yescharacteristic
139#16810757C2211yescharacteristic
140#16810756C2211yescharacteristic
141#16810750C2211yescharacteristic, complemented
142C8×Dic106C2211yescharacteristic, complemented
143#16810732C2211yescharacteristic
144#16810732C2211yescharacteristic
145#16810732C2211yescharacteristic
146#16810732C2211yescharacteristic
147#16810730C2211yescharacteristic, complemented
148#16810729C2211yescharacteristic, complemented
149#16810726C2211yescharacteristic, complemented
150#16810726C2211yescharacteristic, complemented
151#16810724C2211yescharacteristic, complemented
152#16810722C2211yescharacteristic, complemented
153#16810720C2211yescharacteristic, complemented
154#16810720C2211yescharacteristic, complemented
155C4×#11719925C2211yescharacteristic, complemented
156#16810715C2211yescharacteristic, complemented
157#16810715C2211yescharacteristic, complemented
158#16810714C2211yescharacteristic, complemented
159#16810714C2211yescharacteristic, complemented
160C4×#11719913C2211yescharacteristic, complemented
161SD16×Dic53C2211yescharacteristic, complemented
162#16810710C2211yescharacteristic, complemented
163#16810708C2211yescharacteristic, complemented
164#16810708C2211yescharacteristic, complemented
165C4×#11719922C2211yescharacteristic
166#16810703C2211yescharacteristic
167#16810703C2211yescharacteristic
168#16810703C2211yescharacteristic
169#16810703C2211yescharacteristic
170#16810701C2211yescharacteristic
171#16810697C2211yescharacteristic, complemented
172#16810697C2211yescharacteristic, complemented
173C8×C22⋊D53C2211yescharacteristic, complemented
174C8×C22⋊D53C2211yescharacteristic, complemented
175#16810681C2211yescharacteristic, complemented
176#16810681C2211yescharacteristic, complemented
177#16810679C2211yescharacteristic, complemented
178#16810666C2211yescharacteristic, complemented
179#16810663C2211yescharacteristic, complemented
180#16810658C2211yescharacteristic, complemented
181#16810620C2211yescharacteristic
182#16810618C2211yescharacteristic, complemented
183#16810616C2211yescharacteristic, complemented
184C2×#13133139C2211yescharacteristic, complemented
185#16810578C2211yescharacteristic, complemented
186#16810578C2211yescharacteristic, complemented
187C4×C8×D53C2211yescharacteristic, complemented
188C53×#552C2211yescharacteristic
189C53×#546C2211yescharacteristic
190C53×#488C2211yescharacteristic, complemented
191C53×#483C2211yescharacteristic, complemented
192C53×#482C2211yescharacteristic
193C53×#478C2211yescharacteristic, complemented
194C53×#467C2211yescharacteristic, complemented
195C53×#465C2211yescharacteristic
196C53×#464C2211yescharacteristic, complemented
197C53×#452C2211yescharacteristic
198C53×#450C2211yescharacteristic, complemented
199C4×SD16×C53C2211yescharacteristic, complemented
200C8×D4×C53C2211yescharacteristic
201C53×#416C2211yescharacteristic
202C2×#102×C53C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719945C2311yescharacteristic
205C2×#11719947C2311yescharacteristic
206C22×D212C2311yescharacteristic
207#13133243—24no—
208#13133242—24no—
209#13133238—24no—
210C2×Dic212C2311yescharacteristic
211C2×#11719925C2311yescharacteristic
212C2×#11719925C2311yescharacteristic
213C2×#11719913C2311yescharacteristic
214C2×#11719913C2311yescharacteristic
215C2×#11719923C2311yescharacteristic
216C2×#11719923C2311yescharacteristic
217C2×#11719924C2311yescharacteristic
218C2×#11719924C2311yescharacteristic
219C2×#11719922C2311yescharacteristic
220C2×#11719922C2311yescharacteristic
221C2×#11719922C2311yescharacteristic
222C2×#11719922C2311yescharacteristic
223C2×#11719917C2311yescharacteristic
224C2×#11719917C2311yescharacteristic
225C2×C8×D53C2311yescharacteristic
226C2×C8×D53C2311yescharacteristic
227#13133216C2311yescharacteristic
228#13133216C2311yescharacteristic
229#13133215C2311yescharacteristic
230#13133215C2311yescharacteristic
231#13133212—21no—
232#13133212—21no—
233#13133212—21no—
234#13133212—21no—
235#13133212—21no—
236#13133211—21no—
237#13133211—21no—
238#13133210—21no—
239#13133210—21no—
240#13133210—21no—
241#13133210—21no—
242#13133210—21no—
243#13133210—21no—
244#13133210—21no—
245#13133210—21no—
246#13133210—21no—
247#13133210—21no—
248#13133210—21no—
249#13133210—21no—
250#13133210D411yescharacteristic
251#13133210D411yescharacteristic
252#13133209C2311yescharacteristic
253#13133208—21no—
254#13133208—21no—
255#13133208D411yescharacteristic
256#13133208C2311yescharacteristic
257#13133208C2311yescharacteristic
258#13133207—21no—
259#13133207—21no—
260#13133207—21no—
261#13133206C2311yescharacteristic
262#13133205C2311yescharacteristic
263#13133204—21no—
264#13133204D411yescharacteristic
265#13133204C2311yescharacteristic
266#13133203—21no—
267#13133203—21no—
268#13133203—21no—
269#13133202—21no—
270#13133202—21no—
271#13133202—21no—
272#13133202—21no—
273#13133202—21no—
274#13133201—21no—
275#13133200—21no—
276#13133199—21no—
277#13133199—21no—
278#13133199—21no—
279#13133199D411yescharacteristic
280#13133199D411yescharacteristic
281#13133198—21no—
282#13133198—21no—
283#13133198—21no—
284#13133198—21no—
285#13133197—21no—
286#13133197—21no—
287#13133197D411yescharacteristic
288#13133197C2311yescharacteristic
289#13133196—21no—
290#13133196C2311yescharacteristic
291#13133196C2311yescharacteristic
292#13133196C2311yescharacteristic
293#13133195—21no—
294#13133195—21no—
295#13133195—21no—
296#13133194—21no—
297#13133194—21no—
298#13133194—21no—
299#13133194—21no—
300#13133193C2311yescharacteristic
301#13133192—21no—
302#13133192C2311yescharacteristic
303#13133191—21no—
304#13133191C2311yescharacteristic
305#13133190—21no—
306#13133190—21no—
307#13133189—21no—
308#13133189—21no—
309#13133189—21no—
310#13133188D411yescharacteristic
311#13133188C2311yescharacteristic
312#13133187—21no—
313#13133186—21no—
314#13133185—21no—
315Q8×Dic53C2311yescharacteristic
316Q8×Dic53C2311yescharacteristic
317Q8×Dic53C2311yescharacteristic
318C4×Dic106—21no—
319C4×Dic106C2311yescharacteristic
320C4×Dic106C2311yescharacteristic
321#13133182—21no—
322#13133182C2311yescharacteristic
323#13133182C2311yescharacteristic
324#13133182C2311yescharacteristic
325C4×D212—21no—
326C4×D212—21no—
327C4×D212—21no—
328C4×D212C2311yescharacteristic
329D4×Dic53—21no—
330D4×Dic53—21no—
331D4×Dic53—21no—
332D4×Dic53—21no—
333D4×Dic53—21no—
334D4×Dic53C2311yescharacteristic
335D4×Dic53C2311yescharacteristic
336D4×Dic53C2311yescharacteristic
337D4×Dic53C2311yescharacteristic
338D4×Dic53C2311yescharacteristic
339#13133179—21no—
340#13133179—21no—
341#13133179C2311yescharacteristic
342#13133179C2311yescharacteristic
343#13133179C2311yescharacteristic
344#13133179C2311yescharacteristic
345#13133179C2311yescharacteristic
346C4×C22⋊D53—21no—
347C4×C22⋊D53—21no—
348C4×C22⋊D53—21no—
349C4×C22⋊D53—21no—
350C4×C22⋊D53C2311yescharacteristic
351C4×C22⋊D53C2311yescharacteristic
352#13133177—21no—
353#13133177—21no—
354#13133176—21no—
355#13133176C2311yescharacteristic
356#13133176C2311yescharacteristic
357#13133176C2311yescharacteristic
358#13133175—21no—
359#13133175—21no—
360#13133175—21no—
361#13133175C2311yescharacteristic
362#13133175C2311yescharacteristic
363#13133174—21no—
364#13133173—21no—
365#13133173—21no—
366#13133173—21no—
367#13133173—21no—
368C2×C4⋊Dic53—21no—
369C2×C4⋊Dic53C2311yescharacteristic
370C2×#11719919—21no—
371C2×#11719919—21no—
372C4⋊C4×D53—21no—
373C4⋊C4×D53—21no—
374C4⋊C4×D53—21no—
375C2×C22⋊Dic53—21no—
376C2×C22⋊Dic53—21no—
377C2×C22⋊Dic53—21no—
378C22⋊C4×D53—21no—
379C22⋊C4×D53—21no—
380C22⋊C4×D53—21no—
381C22⋊C4×D53—21no—
382C2×C4×Dic53—21no—
383C42×D53—21no—
384C42×D53C2311yescharacteristic
385#13133151C2311yescharacteristic
386#13133150C2311yescharacteristic
387#13133150C2311yescharacteristic
388#13133150C2311yescharacteristic
389#13133150C2311yescharacteristic
390#13133150C2311yescharacteristic
391#13133150C2311yescharacteristic
392#13133149C2311yescharacteristic
393#13133149C2311yescharacteristic
394#13133148C2311yescharacteristic
395#13133148C2311yescharacteristic
396#13133148C2311yescharacteristic
397#13133148C2311yescharacteristic
398C4⋊#88322C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133146C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133146C2311yescharacteristic
403#13133142C2311yescharacteristic
404#13133142C2311yescharacteristic
405#13133142C2311yescharacteristic
406#13133142C2311yescharacteristic
407#13133141C2311yescharacteristic
408#13133141C2311yescharacteristic
409#13133141C2311yescharacteristic
410#13133141C2311yescharacteristic
411#13133140C2311yescharacteristic
412#13133140C2311yescharacteristic
413#13133140C2311yescharacteristic
414#13133140C2311yescharacteristic
415#13133139C2311yescharacteristic
416#13133139C2311yescharacteristic
417#13133139C2311yescharacteristic
418#13133139C2311yescharacteristic
419#13133139C2311yescharacteristic
420#13133139C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133138C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425C22⋊#88322C2311yescharacteristic
426C22⋊#88322C2311yescharacteristic
427#13133129C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133127C2311yescharacteristic
430#13133127C2311yescharacteristic
431#13133127C2311yescharacteristic
432#13133127C2311yescharacteristic
433C4×#88322C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C8×Dic53C2311yescharacteristic
436C8×Dic53C2311yescharacteristic
437C8×Dic53C2311yescharacteristic
438C2×#41×C53C2311yescharacteristic
439C22×D4×C53C2311yescharacteristic
440C2×Q16×C53C2311yescharacteristic
441C2×SD16×C53C2311yescharacteristic
442C2×SD16×C53C2311yescharacteristic
443C22×C8×C53C2311yescharacteristic
444C22×C8×C53C2311yescharacteristic
445#126×C53—21no—
446#125×C53—21no—
447#125×C53C2311yescharacteristic
448#124×C53C2311yescharacteristic
449#123×C53—21no—
450#123×C53—21no—
451C22⋊Q8×C53C2311yescharacteristic
452C22⋊Q8×C53C2311yescharacteristic
453C22⋊Q8×C53C2311yescharacteristic
454#121×C53—21no—
455#121×C53C2311yescharacteristic
456#120×C53—21no—
457C4×Q8×C53C2311yescharacteristic
458C4×D4×C53C2311yescharacteristic
459C4×D4×C53C2311yescharacteristic
460#117×C53—21no—
461#117×C53C2311yescharacteristic
462C2×C4⋊C4×C53C2311yescharacteristic
463C2×C22⋊C4×C53—21no—
464#107×C53C2311yescharacteristic
465#106×C53C2311yescharacteristic
466#106×C53C2311yescharacteristic
467C4⋊C8×C53C2311yescharacteristic
468#103×C53C2311yescharacteristic
469#103×C53C2311yescharacteristic
470#103×C53C2311yescharacteristic
471#103×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477#102×C53C2311yescharacteristic
478C22⋊C8×C53C2311yescharacteristic
479C22⋊C8×C53C2311yescharacteristic
480C4×C8×C53C2311yescharacteristic
481C24×C53—21no—
482C23×D53—21no—
483#41×C53—22no—
484#41×C53—41no—
485C2×Q8×C53C2411yescharacteristic
486C2×Q8×C53C2411yescharacteristic
487C2×D4×C53—22no—
488C2×D4×C53—21no—
489C2×D4×C53—21no—
490C2×D4×C53—21no—
491C2×D4×C53—41no—
492C2×D4×C53C2×D411yescharacteristic
493C2×D4×C53C2411yescharacteristic
494C2×D4×C53C2411yescharacteristic
495C22×C4×C53—21no—
496C22×C4×C53—21no—
497C22×C4×C53—21no—
498C22×C4×C53C2411yescharacteristic
499C22×C4×C53C2411yescharacteristic
500C2×C22⋊D53—21no—
501C2×C22⋊D53—21no—
502C2×C22⋊D53—21no—
503C2×C22⋊D53—21no—
504C2×C22⋊D53C2×D411yescharacteristic
505C2×C22⋊D53C2×D411yescharacteristic
506C22×Dic53—21no—
507C22×Dic53—21no—
508C22×Dic53—21no—
509C22×Dic53—21no—
510C22×Dic53—21no—
511C22×Dic53—21no—
512C22×Dic53—21no—
513#11719949—22no—
514#11719949—41no—
515#11719947—22no—
516#11719947—41no—
517#11719945—22no—
518#11719945—41no—
519C2×D212—22no—
520C2×D212—21no—
521C2×D212—21no—
522C2×D212—21no—
523C2×D212—41no—
524C2×D212C2411yescharacteristic
525C2×D212C2411yescharacteristic
526C2×C4×D53—21no—
527C2×C4×D53—21no—
528C2×C4×D53—21no—
529C2×C4×D53—21no—
530C2×C4×D53—21no—
531C2×C4×D53—21no—
532C2×C4×D53—21no—
533C2×C4×D53—21no—
534C2×C4×D53C2×D411yescharacteristic
535C2×C4×D53C2×D411yescharacteristic
536C2×C4×D53C2411yescharacteristic
537C2×Dic106—21no—
538C2×Dic106—21no—
539C2×Dic106C2×D411yescharacteristic
540C2×Dic106C2411yescharacteristic
541C2×Dic106C2411yescharacteristic
542Q16×C53—41no—
543SD16×C53—22no—
544SD16×C53—41no—
545C2×C8×C53—41no—
546C2×C8×C53—41no—
547C2×C8×C53C2411yescharacteristic
548C2×C8×C53C2411yescharacteristic
549C2×C8×C53C2411yescharacteristic
550C2×C8×C53C2411yescharacteristic
551C4⋊C4×C53—21no—
552C4⋊C4×C53—21no—
553C4⋊C4×C53—21no—
554C4⋊C4×C53—21no—
555C4⋊C4×C53—21no—
556C4⋊C4×C53—21no—
557C4⋊C4×C53—21no—
558C4⋊C4×C53C2×D411yescharacteristic
559C4⋊C4×C53C2411yescharacteristic
560C4⋊C4×C53C2411yescharacteristic
561C4⋊C4×C53C2411yescharacteristic
562C4⋊C4×C53C2411yescharacteristic
563C22⋊C4×C53—21no—
564C22⋊C4×C53—21no—
565C22⋊C4×C53—21no—
566C22⋊C4×C53—21no—
567C22⋊C4×C53—21no—
568C22⋊C4×C53—21no—
569C22⋊C4×C53—21no—
570C22⋊C4×C53—21no—
571C22⋊C4×C53C2×D411yescharacteristic
572C22⋊C4×C53C2×D411yescharacteristic
573C42×C53—21no—
574C42×C53—21no—
575C42×C53C2411yescharacteristic
576C22⋊Dic53—21no—
577C22⋊Dic53—21no—
578C22⋊Dic53—21no—
579C22⋊Dic53—21no—
580C22⋊Dic53—21no—
581C22⋊Dic53—21no—
582C22⋊Dic53—21no—
583C22⋊Dic53—21no—
584C22⋊Dic53—21no—
585C22⋊Dic53—21no—
586C22⋊Dic53—21no—
587C22⋊Dic53—21no—
588C22⋊Dic53C2×D411yescharacteristic
589C22⋊Dic53C2×D411yescharacteristic
590C22⋊Dic53C2×D411yescharacteristic
591C22⋊Dic53C2×D411yescharacteristic
592C22⋊Dic53C2×D411yescharacteristic
593C22⋊Dic53C2×D411yescharacteristic
594#11719925—22no—
595#11719925—41no—
596#11719924—22no—
597#11719924—22no—
598#11719923—22no—
599#11719923—22no—
600#11719922—22no—
601#11719922—22no—
602#11719922—41no—
603#11719922#4114yes—
604#11719921—21no—
605#11719921—21no—
606#11719921—21no—
607#11719921—21no—
608#11719921—21no—
609#11719921—21no—
610#11719921—21no—
611#11719921—21no—
612#11719921—21no—
613#11719921—21no—
614#11719921—21no—
615#11719921—21no—
616#11719921—21no—
617#11719921—21no—
618#11719921—21no—
619#11719921—21no—
620#11719921C2×D411yescharacteristic
621#11719921C2×D411yescharacteristic
622C4⋊Dic53—21no—
623C4⋊Dic53—21no—
624C4⋊Dic53—21no—
625C4⋊Dic53—21no—
626C4⋊Dic53—21no—
627C4⋊Dic53—21no—
628C4⋊Dic53—21no—
629C4⋊Dic53C2×D411yescharacteristic
630C4⋊Dic53C2×D411yescharacteristic
631C4⋊Dic53C2×D411yescharacteristic
632C4⋊Dic53C2×D411yescharacteristic
633C4⋊Dic53C2×D411yescharacteristic
634C4⋊Dic53C2411yescharacteristic
635C4⋊Dic53C2411yescharacteristic
636C4⋊Dic53C2411yescharacteristic
637C4⋊Dic53C2411yescharacteristic
638#11719919—21no—
639#11719919—21no—
640#11719919—21no—
641#11719919—21no—
642#11719919—21no—
643#11719919—21no—
644#11719919—21no—
645#11719919—21no—
646#11719919—21no—
647#11719919—21no—
648#11719919—21no—
649#11719919—21no—
650#11719919—21no—
651#11719919—21no—
652#11719919—21no—
653#11719919—21no—
654#11719919—21no—
655#11719919—21no—
656#11719919C2×D411yescharacteristic
657#11719919C2×D411yescharacteristic
658#11719919C2×D411yescharacteristic
659#11719919C2×D411yescharacteristic
660C4×Dic53—21no—
661C4×Dic53—21no—
662C4×Dic53—21no—
663C4×Dic53—21no—
664C4×Dic53—21no—
665C4×Dic53—21no—
666C4×Dic53—21no—
667C4×Dic53—21no—
668C4×Dic53—21no—
669C4×Dic53—21no—
670C4×Dic53C2×D411yescharacteristic
671C4×Dic53C2×D411yescharacteristic
672C4×Dic53C2411yescharacteristic
673C4×Dic53C2411yescharacteristic
674C4×Dic53C2411yescharacteristic
675#11719917—22no—
676#11719917—22no—
677C2×#88322C2411yescharacteristic
678C2×#88322C2411yescharacteristic
679C2×#88322C2411yescharacteristic
680C2×#88322C2411yescharacteristic
681Dic212—41no—
682#11719913—22no—
683#11719913—41no—
684C8×D53—22no—
685C8×D53—41no—
686C23×C53—21no—
687C23×C53—21no—
688C23×C53—42no—
689C23×C53—81no—
690C23×C53—81no—
691C23×C53C22×D411yescharacteristic
692C23×C53C22×D411yescharacteristic
693C22×D53—21no—
694C22×D53—21no—
695C22×D53—42no—
696C22×D53—81no—
697C22×D53—81no—
698C22×D53C22×D411yescharacteristic
699Q8×C53—21no—
700Q8×C53—21no—
701Q8×C53—21no—
702Q8×C53—21no—
703D4×C53—21no—
704D4×C53—21no—
705D4×C53—21no—
706D4×C53—41no—
707D4×C53—42no—
708D4×C53—42no—
709D4×C53—81no—
710D4×C53C2×#4112yes—
711C2×C4×C53—21no—
712C2×C4×C53—21no—
713C2×C4×C53—21no—
714C2×C4×C53—21no—
715C2×C4×C53—21no—
716C2×C4×C53—21no—
717C2×C4×C53—21no—
718C2×C4×C53—21no—
719C2×C4×C53—21no—
720C2×C4×C53—21no—
721C2×C4×C53—42no—
722C2×C4×C53—81no—
723C2×C4×C53—81no—
724C2×C4×C53C22×D411yescharacteristic
725C2×C4×C53C22×D411yescharacteristic
726C2×C4×C53C22×D411yescharacteristic
727C2×C4×C53C22×D411yescharacteristic
728C2×C4×C53C2511yescharacteristic
729C22⋊D53—41no—
730C22⋊D53—41no—
731C22⋊D53—42no—
732C22⋊D53—42no—
733C22⋊D53—81no—
734C22⋊D53—81no—
735C2×Dic53—21no—
736C2×Dic53—21no—
737C2×Dic53—21no—
738C2×Dic53—21no—
739C2×Dic53—21no—
740C2×Dic53—21no—
741C2×Dic53—42no—
742C2×Dic53—81no—
743C2×Dic53—81no—
744C2×Dic53—81no—
745C2×Dic53—81no—
746C2×Dic53—81no—
747C2×Dic53—81no—
748C2×Dic53C22×D411yescharacteristic
749C2×Dic53C22×D411yescharacteristic
750C2×Dic53C22×D411yescharacteristic
751C2×Dic53C22×D411yescharacteristic
752C2×Dic53C22×D411yescharacteristic
753C2×Dic53C22×D411yescharacteristic
754C2×Dic53C22×D411yescharacteristic
755D212—21no—
756D212—21no—
757D212—21no—
758D212—42no—
759D212—42no—
760D212—81no—
761D212C2×#4112yes—
762C4×D53—21no—
763C4×D53—21no—
764C4×D53—41no—
765C4×D53—41no—
766C4×D53—42no—
767C4×D53—42no—
768C4×D53—81no—
769C4×D53—81no—
770C4×D53—81no—
771C4×D53—81no—
772C4×D53—81no—
773C4×D53—81no—
774Dic106—21no—
775Dic106—21no—
776Dic106—21no—
777Dic106—21no—
778Dic106—41no—
779Dic106—81no—
780Dic106—81no—
781C8×C53—21no—
782C8×C53—21no—
783C8×C53—21no—
784C8×C53—21no—
785#88322—21no—
786#88322—21no—
787#88322—21no—
788#88322C2×#4112yes—
789#61501—531nomaximal, Sylow
790C22×C53—21no—
791C22×C53—21no—
792C22×C53—21no—
793C22×C53—21no—
794C22×C53—22no—
795C22×C53—21no—
796C22×C53—21no—
797C22×C53—41no—
798C22×C53—41no—
799C22×C53—41no—
800C22×C53—41no—
801C22×C53—41no—
802C22×C53—162no—
803C22×C53C23×D411yescharacteristic
804C2×D53—21no—
805C2×D53—21no—
806C2×D53—21no—
807C2×D53—22no—
808C2×D53—41no—
809C2×D53—41no—
810C2×D53—41no—
811C2×D53—41no—
812C2×D53—41no—
813C2×D53—162no—
814C4×C53—21no—
815C4×C53—21no—
816C4×C53—21no—
817C4×C53—21no—
818C4×C53—41no—
819C4×C53—41no—
820C4×C53—41no—
821C4×C53—41no—
822C4×C53—41no—
823C4×C53—41no—
824C4×C53C22×#4111yescharacteristic
825C4×C53#58511yescharacteristic
826Dic53—21no—
827Dic53—21no—
828Dic53—21no—
829Dic53—21no—
830Dic53—21no—
831Dic53—21no—
832Dic53—21no—
833Dic53—41no—
834Dic53—41no—
835Dic53—41no—
836Dic53—41no—
837Dic53—41no—
838Dic53—41no—
839#3521—531no—
840#3521—531no—
841#3402—531no—
842#3389—531no—
843#3360—531no—
844#3360—531no—
845#3352—531no—
846#3350—531no—
847#3350—531no—
848#3302—531no—
849#3302—531no—
850#3297—531no—
851#3297—531no—
852#3296—531no—
853#3296D5311yescharacteristic, complemented
854#3273—531no—
855#3267—531no—
856#3267—531no—
857#3178—531no—
858#3178—531no—
859#3168—531no—
860#3120—531no—
861#3120—531no—
862#3118—531no—
863#3118—531no—
864#3111—531no—
865#3111—531no—
866#2966—531no—
867#2946—531no—
868#2946—531no—
869C4×#135—531no—
870C2×C53—41no—
871C2×C53—41no—
872C2×C53—42no—
873C2×C53—81no—
874C2×C53D4×#4111yescharacteristic
875C2×C53#358411yescharacteristic
876C2×C53#358411yescharacteristic
877D53—41no—
878D53—42no—
879D53—81no—
880C2×AGL(1,ℤ/8)—531no—
881C2×AGL(1,ℤ/8)—531no—
882C2×#135—531no—
883#556—531no—
884#556—531no—
885#556—531no—
886#556—531no—
887#554—531no—
888#554—531no—
889#553—531no—
890#553—531no—
891#553—1061no—
892#553—1061no—
893#552—531no—
894#552—1061no—
895#552—1061no—
896#552C2×D5311yescharacteristic
897#551—1061no—
898#551—1061no—
899#551—1061no—
900#551—1061no—
901#547—531no—
902#547—531no—
903#546—531no—
904#546—531no—
905#546—531no—
906#546C2×D5311yescharacteristic
907#542—531no—
908#542—531no—
909#541—531no—
910#541—531no—
911#539—1061no—
912#539—1061no—
913#538—1061no—
914#538—1061no—
915#529—531no—
916#529—531no—
917#529—531no—
918#529—1061no—
919#529—1061no—
920C2×#126—1061no—
921C2×#126—1061no—
922#520—531no—
923#520—531no—
924#518—531no—
925#518—531no—
926C4×#41—531no—
927C4×#41—531no—
928#501—531no—
929#501—531no—
930#499—531no—
931#497—531no—
932#497—531no—
933#495—531no—
934#488—531no—
935#488—531no—
936#488—531no—
937#488C2×D5311yescharacteristic, complemented
938#487—531no—
939#487—531no—
940#485—531no—
941#485—531no—
942#485—531no—
943#485—531no—
944#484—531no—
945#484—531no—
946#483—531no—
947#483C2×D5311yescharacteristic, complemented
948#482—531no—
949#482—531no—
950#482—531no—
951#482C2×D5311yescharacteristic
952#479—531no—
953#479—531no—
954#479—531no—
955#479—531no—
956#478—531no—
957#478—531no—
958#478—531no—
959#478C2×D5311yescharacteristic, complemented
960#476—531no—
961#476—531no—
962#474—531no—
963#474—531no—
964#470—531no—
965#470—531no—
966#468—531no—
967#468—531no—
968#467—531no—
969#467—531no—
970#467C2×D5311yescharacteristic, complemented
971#466—531no—
972#465—531no—
973#465—531no—
974#465—531no—
975#465C2×D5311yescharacteristic
976#464—531no—
977#464C2×D5311yescharacteristic, complemented
978#463—531no—
979#463—531no—
980#463—531no—
981#463—531no—
982#463—531no—
983#463—531no—
984#462—531no—
985#462—531no—
986#461—531no—
987#461—531no—
988#452—531no—
989#452—531no—
990#452—531no—
991#452—531no—
992#452—531no—
993#452C2×D5311yescharacteristic
994#450—531no—
995#450C2×D5311yescharacteristic, complemented
996#449—531no—
997#449—531no—
998#447—531no—
999#447—531no—
1000#446—531no—
1001C8×Q8—531no—
1002#442—531no—
1003#442—531no—
1004#442—531no—
1005#442—531no—
1006#441—531no—
1007#441—531no—
1008#440—531no—
1009#440—531no—
1010#440—531no—
1011#440—531no—
1012#440—531no—
1013#440—531no—
1014C4×Q16—531no—
1015C4×Q16—531no—
1016C4×Q16—531no—
1017C4×SD16—531no—
1018C4×SD16—531no—
1019C4×SD16—531no—
1020C4×SD16—531no—
1021C4×SD16—531no—
1022C4×SD16—531no—
1023C4×SD16—531no—
1024C4×SD16C2×D5311yescharacteristic, complemented
1025C4×D8—531no—
1026C4×D8—531no—
1027C4×D8—531no—
1028C4×D8—531no—
1029C4×D8—531no—
1030#436—531no—
1031#435—531no—
1032#435—531no—
1033C8×D4—531no—
1034C8×D4—531no—
1035C8×D4C2×D5311yescharacteristic
1036#433—531no—
1037#433—531no—
1038#432—531no—
1039#428—531no—
1040#428—531no—
1041#427—531no—
1042#416—531no—
1043#416—531no—
1044#416—531no—
1045#416C2×D5311yescharacteristic
1046C2×#102—531no—
1047C2×#102C2×D5311yescharacteristic, complemented
1048#405—531no—
1049#405—531no—
1050C2×C4×C8—531no—
1051C53#6150111yescharacteristic, complemented, Sylow
1052C2×#41—531no—
1053C2×#41—531no—
1054C2×#41—531no—
1055C2×#41C22×D5311yescharacteristic
1056C22×D4—531no—
1057C22×D4C22×D5311yescharacteristic
1058AGL(1,ℤ/8)—1064no—
1059AGL(1,ℤ/8)—1064no—
1060#135—1064no—
1061C2×Q16—531no—
1062C2×Q16—531no—
1063C2×Q16—531no—
1064C2×Q16C22×D5311yescharacteristic
1065C2×SD16—531no—
1066C2×SD16—531no—
1067C2×SD16—531no—
1068C2×SD16—531no—
1069C2×SD16—531no—
1070C2×SD16—531no—
1071C2×SD16C22×D5311yescharacteristic
1072C2×SD16C22×D5311yescharacteristic
1073C2×D8—531no—
1074C2×D8—531no—
1075C2×D8—531no—
1076C2×D8—531no—
1077C2×M16—531no—
1078C2×M16—531no—
1079C22×C8—531no—
1080C22×C8—531no—
1081C22×C8C22×D5311yescharacteristic
1082C22×C8C22×D5311yescharacteristic
1083C4⋊Q8—531no—
1084C4⋊Q8—531no—
1085C4⋊Q8—531no—
1086C4⋊Q8—531no—
1087#126—21no—
1088#126—531no—
1089#126—531no—
1090#126—1061no—
1091#126—1061no—
1092#126—1061no—
1093#126—1061no—
1094#126—1061no—
1095#126—1061no—
1096#126—1061no—
1097#126—1061no—
1098#126—1061no—
1099#126—1061no—
1100#126—1061no—
1101#126—1061no—
1102#126—1061no—
1103#126—1061no—
1104#126—1061no—
1105#126—1061no—
1106#126—1061no—
1107#126—1061no—
1108#126—1061no—
1109#125—21no—
1110#125—531no—
1111#125—531no—
1112#125—531no—
1113#125—531no—
1114#125—1061no—
1115#125—1061no—
1116#125—1061no—
1117#125—1061no—
1118#125—1061no—
1119#125C22×D5311yescharacteristic
1120#124—531no—
1121#124—531no—
1122#124—531no—
1123#124—531no—
1124#124—1061no—
1125#124—1061no—
1126#124—1061no—
1127#124—1061no—
1128#124C22×D5311yescharacteristic
1129#123—21no—
1130#123—21no—
1131#123—531no—
1132#123—531no—
1133#123—1061no—
1134#123—1061no—
1135#123—1061no—
1136#123—1061no—
1137#123—1061no—
1138#123—1061no—
1139#123—1061no—
1140#123—1061no—
1141#123—1061no—
1142#123—1061no—
1143#123—1061no—
1144#123—1061no—
1145#123—1061no—
1146#123—1061no—
1147C22⋊Q8—531no—
1148C22⋊Q8—531no—
1149C22⋊Q8—531no—
1150C22⋊Q8—531no—
1151C22⋊Q8—531no—
1152C22⋊Q8—531no—
1153C22⋊Q8—1061no—
1154C22⋊Q8—1061no—
1155C22⋊Q8—1061no—
1156C22⋊Q8—1061no—
1157C22⋊Q8—1061no—
1158C22⋊Q8—1061no—
1159C22⋊Q8—1061no—
1160C22⋊Q8—1061no—
1161C22⋊Q8—1061no—
1162C22⋊Q8—1061no—
1163C22⋊Q8C22×D5311yescharacteristic
1164C22⋊Q8C22×D5311yescharacteristic
1165C22⋊Q8C22×D5311yescharacteristic
1166#121—21no—
1167#121—531no—
1168#121—531no—
1169#121—531no—
1170#121—531no—
1171#121—1061no—
1172#121—1061no—
1173#121—1061no—
1174#121—1061no—
1175#121—1061no—
1176#121—1061no—
1177#121—1061no—
1178#121C22×D5311yescharacteristic
1179#120—21no—
1180#120—1061no—
1181#120—1061no—
1182#120—1061no—
1183C4×Q8—531no—
1184C4×Q8—531no—
1185C4×Q8—531no—
1186C4×Q8—531no—
1187C4×Q8—531no—
1188C4×Q8—531no—
1189C4×Q8—531no—
1190C4×Q8—531no—
1191C4×Q8—1061no—
1192C4×Q8—1061no—
1193C4×Q8C22×D5311yescharacteristic
1194C4×D4—531no—
1195C4×D4—531no—
1196C4×D4—531no—
1197C4×D4—531no—
1198C4×D4—531no—
1199C4×D4—531no—
1200C4×D4—531no—
1201C4×D4—531no—
1202C4×D4—531no—
1203C4×D4—531no—
1204C4×D4—531no—
1205C4×D4—531no—
1206C4×D4—531no—
1207C4×D4—1061no—
1208C4×D4—1061no—
1209C4×D4—1061no—
1210C4×D4—1061no—
1211C4×D4—1061no—
1212C4×D4—1061no—
1213C4×D4—1061no—
1214C4×D4—1061no—
1215C4×D4—1061no—
1216C4×D4—1061no—
1217C4×D4—1061no—
1218C4×D4—1061no—
1219C4×D4—1061no—
1220C4×D4—1061no—
1221C4×D4—1061no—
1222C4×D4—1061no—
1223C4×D4C22×D5311yescharacteristic
1224C4×D4C22×D5311yescharacteristic
1225#117—21no—
1226#117—531no—
1227#117—531no—
1228#117—531no—
1229#117—531no—
1230#117—531no—
1231#117—1061no—
1232#117—1061no—
1233#117—1061no—
1234#117—1061no—
1235#117—1061no—
1236#117—1061no—
1237#117—1061no—
1238#117—1061no—
1239#117—1061no—
1240#117C22×D5311yescharacteristic
1241C2×C4⋊C4—531no—
1242C2×C4⋊C4—1061no—
1243C2×C4⋊C4—1061no—
1244C2×C4⋊C4—1061no—
1245C2×C4⋊C4—1061no—
1246C2×C4⋊C4—1061no—
1247C2×C4⋊C4—1061no—
1248C2×C4⋊C4C22×D5311yescharacteristic
1249C2×C22⋊C4—21no—
1250C2×C22⋊C4—1061no—
1251C2×C22⋊C4—1061no—
1252C2×C22⋊C4—1061no—
1253C2×C22⋊C4—1061no—
1254C2×C22⋊C4—1061no—
1255C2×C22⋊C4—1061no—
1256C2×C22⋊C4—1061no—
1257C2×C42—531no—
1258C2×C42—1061no—
1259C2×C42—1061no—
1260#107—531no—
1261#107—531no—
1262#107—531no—
1263#107—531no—
1264#107—531no—
1265#107—531no—
1266#107—531no—
1267#107C22×D5311yescharacteristic
1268#106—531no—
1269#106—531no—
1270#106—531no—
1271#106—531no—
1272#106—531no—
1273#106—531no—
1274#106C22×D5311yescharacteristic
1275#106C22×D5311yescharacteristic
1276C4⋊C8—531no—
1277C4⋊C8—531no—
1278C4⋊C8—531no—
1279C4⋊C8—531no—
1280C4⋊C8—531no—
1281C4⋊C8C22×D5311yescharacteristic
1282#103—531no—
1283#103—531no—
1284#103—531no—
1285#103—531no—
1286#103—531no—
1287#103—531no—
1288#103—531no—
1289#103—531no—
1290#103—531no—
1291#103—531no—
1292#103—531no—
1293#103—531no—
1294#103C22×D5311yescharacteristic
1295#103C22×D5311yescharacteristic
1296#103C22×D5311yescharacteristic
1297#103C22×D5311yescharacteristic
1298#102—531no—
1299#102—531no—
1300#102—531no—
1301#102—531no—
1302#102—531no—
1303#102—531no—
1304#102—531no—
1305#102—531no—
1306#102—531no—
1307#102—531no—
1308#102C22×D5311yescharacteristic
1309#102C22×D5311yescharacteristic
1310#102C22×D5311yescharacteristic
1311#102C22×D5311yescharacteristic
1312#102C22×D5311yescharacteristic
1313#102C22×D5311yescharacteristic
1314C22⋊C8—531no—
1315C22⋊C8—531no—
1316C22⋊C8—531no—
1317C22⋊C8—531no—
1318C22⋊C8C22×D5311yescharacteristic
1319C22⋊C8C22×D5311yescharacteristic
1320#97—531no—
1321#97—531no—
1322#97—531no—
1323#97—531no—
1324C4×C8—531no—
1325C4×C8—531no—
1326C4×C8—531no—
1327C4×C8—531no—
1328C4×C8—531no—
1329C4×C8C22×D5311yescharacteristic
1330C24—21no—
1331C24—1061no—
1332#41—22no—
1333#41—41no—
1334#41—1062no—
1335#41—1062no—
1336#41—1062no—
1337#41—2121no—
1338#41—2121no—
1339#41—2121no—
1340C2×Q8—531no—
1341C2×Q8—531no—
1342C2×Q8—531no—
1343C2×Q8—1061no—
1344C2×Q8—1061no—
1345C2×Q8C23×D5311yescharacteristic
1346C2×Q8C23×D5311yescharacteristic
1347C2×D4—22no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—41no—
1352C2×D4—531no—
1353C2×D4—531no—
1354C2×D4—531no—
1355C2×D4—531no—
1356C2×D4—1062no—
1357C2×D4—1061no—
1358C2×D4—1061no—
1359C2×D4—1061no—
1360C2×D4—1061no—
1361C2×D4—1061no—
1362C2×D4—1061no—
1363C2×D4—1061no—
1364C2×D4—2121no—
1365C2×D4D4×D5311yescharacteristic
1366C2×D4C23×D5311yescharacteristic
1367C2×D4C23×D5311yescharacteristic
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—531no—
1372C22×C4—531no—
1373C22×C4—531no—
1374C22×C4—1061no—
1375C22×C4—1061no—
1376C22×C4—1061no—
1377C22×C4—1061no—
1378C22×C4—1061no—
1379C22×C4—1061no—
1380C22×C4—1061no—
1381C22×C4—1061no—
1382C22×C4—1061no—
1383C22×C4—1061no—
1384C22×C4—1061no—
1385C22×C4—1061no—
1386C22×C4—1061no—
1387C22×C4—1061no—
1388C22×C4—1061no—
1389C22×C4C23×D5311yescharacteristic
1390C22×C4C23×D5311yescharacteristic
1391Q16—41no—
1392Q16—1062no—
1393Q16—2121no—
1394Q16—2121no—
1395SD16—22no—
1396SD16—41no—
1397SD16—1062no—
1398SD16—1062no—
1399SD16—1062no—
1400SD16—1062no—
1401SD16—1062no—
1402SD16—2121no—
1403D8—534no—
1404D8—1062no—
1405D8—1062no—
1406D8—2121no—
1407M16—1062no—
1408M16—1062no—
1409C2×C8—41no—
1410C2×C8—41no—
1411C2×C8—531no—
1412C2×C8—531no—
1413C2×C8—531no—
1414C2×C8—531no—
1415C2×C8—1062no—
1416C2×C8—2121no—
1417C2×C8C23×D5311yescharacteristic
1418C2×C8C23×D5311yescharacteristic
1419C2×C8C23×D5311yescharacteristic
1420C2×C8C23×D5311yescharacteristic
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—531no—
1429C4⋊C4—531no—
1430C4⋊C4—531no—
1431C4⋊C4—531no—
1432C4⋊C4—531no—
1433C4⋊C4—531no—
1434C4⋊C4—531no—
1435C4⋊C4—531no—
1436C4⋊C4—531no—
1437C4⋊C4—531no—
1438C4⋊C4—531no—
1439C4⋊C4—531no—
1440C4⋊C4—531no—
1441C4⋊C4—1061no—
1442C4⋊C4—1061no—
1443C4⋊C4—1061no—
1444C4⋊C4—1061no—
1445C4⋊C4—1061no—
1446C4⋊C4—1061no—
1447C4⋊C4—1061no—
1448C4⋊C4—1061no—
1449C4⋊C4—1061no—
1450C4⋊C4—1061no—
1451C4⋊C4—1061no—
1452C4⋊C4—1061no—
1453C4⋊C4—1061no—
1454C4⋊C4—1061no—
1455C4⋊C4—1061no—
1456C4⋊C4—1061no—
1457C4⋊C4—1061no—
1458C4⋊C4—1061no—
1459C4⋊C4—1061no—
1460C4⋊C4—1061no—
1461C4⋊C4—1061no—
1462C4⋊C4—1061no—
1463C4⋊C4—1061no—
1464C4⋊C4—1061no—
1465C4⋊C4—1061no—
1466C4⋊C4D4×D5311yescharacteristic
1467C4⋊C4C23×D5311yescharacteristic
1468C4⋊C4C23×D5311yescharacteristic
1469C4⋊C4C23×D5311yescharacteristic
1470C4⋊C4C23×D5311yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—531no—
1480C22⋊C4—531no—
1481C22⋊C4—531no—
1482C22⋊C4—531no—
1483C22⋊C4—531no—
1484C22⋊C4—531no—
1485C22⋊C4—531no—
1486C22⋊C4—531no—
1487C22⋊C4—1061no—
1488C22⋊C4—1061no—
1489C22⋊C4—1061no—
1490C22⋊C4—1061no—
1491C22⋊C4—1061no—
1492C22⋊C4—1061no—
1493C22⋊C4—1061no—
1494C22⋊C4—1061no—
1495C22⋊C4—1061no—
1496C22⋊C4—1061no—
1497C22⋊C4—1061no—
1498C22⋊C4—1061no—
1499C22⋊C4—1061no—
1500C22⋊C4—1061no—
1501C22⋊C4—1061no—
1502C22⋊C4—1061no—
1503C22⋊C4—1061no—
1504C22⋊C4—1061no—
1505C22⋊C4—1061no—
1506C22⋊C4—1061no—
1507C22⋊C4—1061no—
1508C22⋊C4—1061no—
1509C22⋊C4—1061no—
1510C22⋊C4—1061no—
1511C22⋊C4—1061no—
1512C22⋊C4—1061no—
1513C22⋊C4—1061no—
1514C22⋊C4—1061no—
1515C22⋊C4D4×D5311yescharacteristic
1516C22⋊C4D4×D5311yescharacteristic
1517C42—21no—
1518C42—21no—
1519C42—531no—
1520C42—531no—
1521C42—531no—
1522C42—531no—
1523C42—531no—
1524C42—1061no—
1525C42—1061no—
1526C42—1061no—
1527C42—1061no—
1528C42—1061no—
1529C42—1061no—
1530C42—1061no—
1531C42—1061no—
1532C42—1061no—
1533C42—1061no—
1534C42C23×D5311yescharacteristic
1535C23—21no—
1536C23—21no—
1537C23—42no—
1538C23—81no—
1539C23—81no—
1540C23—531no—
1541C23—1061no—
1542C23—1061no—
1543C23—4241no—
1544C23—4241no—
1545C23—2122no—
1546C23C2×D4×D5311yescharacteristic
1547C23C2×D4×D5311yescharacteristic
1548Q8—21no—
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—1061no—
1553Q8—1061no—
1554Q8—1061no—
1555Q8—1061no—
1556Q8—4241no—
1557Q8—4241no—
1558Q8—2121no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—41no—
1563D4—42no—
1564D4—42no—
1565D4—81no—
1566D4—532no—
1567D4—1061no—
1568D4—1061no—
1569D4—1061no—
1570D4—4241no—
1571D4—4241no—
1572D4—4241no—
1573D4—2122no—
1574D4—2122no—
1575D4—2121no—
1576D4—2121no—
1577D4—2122no—
1578D4—2122no—
1579D4#41×D5312yes—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—42no—
1591C2×C4—81no—
1592C2×C4—81no—
1593C2×C4—531no—
1594C2×C4—531no—
1595C2×C4—531no—
1596C2×C4—531no—
1597C2×C4—531no—
1598C2×C4—531no—
1599C2×C4—531no—
1600C2×C4—1061no—
1601C2×C4—1061no—
1602C2×C4—1061no—
1603C2×C4—1061no—
1604C2×C4—1061no—
1605C2×C4—1061no—
1606C2×C4—1061no—
1607C2×C4—1061no—
1608C2×C4—4241no—
1609C2×C4—4241no—
1610C2×C4—4241no—
1611C2×C4—4241no—
1612C2×C4—4241no—
1613C2×C4—4241no—
1614C2×C4—4241no—
1615C2×C4—4241no—
1616C2×C4—4241no—
1617C2×C4—4241no—
1618C2×C4—4241no—
1619C2×C4—4241no—
1620C2×C4—2121no—
1621C2×C4—2121no—
1622C2×C4—2122no—
1623C2×C4—2122no—
1624C2×C4—2122no—
1625C2×C4C2×D4×D5311yescharacteristic
1626C2×C4C2×D4×D5311yescharacteristic
1627C2×C4C2×D4×D5311yescharacteristic
1628C2×C4C2×D4×D5311yescharacteristic
1629C2×C4C24×D5311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—532no—
1635C8—1061no—
1636C8—1061no—
1637C8—1061no—
1638C22—21no—
1639C22—21no—
1640C22—22no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—162no—
1651C22—8482no—
1652C22—1061no—
1653C22—1062no—
1654C22—1061no—
1655C22—1061no—
1656C22—2121no—
1657C22—2121no—
1658C22—2121no—
1659C22—2121no—
1660C22—2121no—
1661C22C22×D4×D5311yescharacteristic
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—1061no—
1673C4—1061no—
1674C4—1061no—
1675C4—1061no—
1676C4—1061no—
1677C4—1061no—
1678C4—1061no—
1679C4—2121no—
1680C4—2121no—
1681C4—2121no—
1682C4—2121no—
1683C4—2121no—
1684C4—2121no—
1685C4C2×#41×D5311yescharacteristic
1686C4#1681145811yescharacteristic
1687C2—41no—
1688C2—41no—
1689C2—42no—
1690C2—81no—
1691C2—4241no—
1692C2—2122no—
1693C2—2121no—
1694C2#2028819911yescharacteristic
1695C2#2028948411yescharacteristic
1696C2#2028948711yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3296C2
socleC22×C53C23×D4
hypercenter#3296D53
hypocenterC53#61501
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3296

Complements

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

NH ≅ G/Ntype
1. #20288790C2semidirect
2. #20288772C2semidirect
3. #20287794C2semidirect
4. #20287673C2semidirect
5. #20287365C2semidirect
6. #20287361C2semidirect
7. #20287284C2semidirect
8. #20287263C2semidirect
9. #20287253C2semidirect
10. #20286628C2semidirect
11. #20286627C2semidirect
12. #20286571C2semidirect
13. #20286561C2semidirect
14. #20286552C2semidirect
15. #20286322C2semidirect
16. #20286243C2semidirect
17. #20286238C2semidirect
18. #20285386C2semidirect
19. #20285378C2semidirect
20. #20285284C2semidirect
21. #20284932C2semidirect
22. #20284922C2semidirect
23. #20284900C2semidirect
24. #20284894C2semidirect
25. #20284829C2semidirect
26. #20284823C2semidirect
27. #20283687C2semidirect
28. #20283550C2semidirect
29. #20283541C2semidirect
30. C4×#13133238C2semidirect
31. C53×#3296C2semidirect
35. #16811345C22semidirect
36. #16811344C22semidirect
37. #16811342C22semidirect
38. #16811341C22semidirect
39. #16811332C22semidirect
40. #16811329C22semidirect
55. #16811267C22semidirect
56. #16811264C22semidirect
59. #16811233C22semidirect
60. #16811233C22semidirect
65. #16811158C22semidirect
68. #16811152C22semidirect
74. #16811098C22semidirect
75. #16811097C22semidirect
76. C4×#11719949C22semidirect
77. C4×#11719947C22semidirect
78. #16811031C22semidirect
79. #16811030C22semidirect
80. #16811022C22semidirect
81. #16811016C22semidirect
82. #16811014C22semidirect
84. #16810979C22semidirect
85. #16810978C22semidirect
86. #16810976C22semidirect
87. #16810972C22semidirect
88. #16810972C22semidirect
89. #16810966C22semidirect
90. #16810964C22semidirect
91. #16810963C22semidirect
92. #16810961C22semidirect
93. #16810958C22semidirect
94. #16810956C22semidirect
95. #16810954C22semidirect
96. #16810949C22semidirect
98. #16810946C22semidirect
99. #16810933C22semidirect
100. #16810930C22semidirect
101. #16810928C22semidirect
102. #16810927C22semidirect
103. #16810925C22semidirect
104. #16810924C22semidirect
105. #16810922C22semidirect
106. #16810912C22semidirect
107. #16810911C22semidirect
108. #16810902C22semidirect
109. #16810901C22semidirect
110. #16810879C22semidirect
111. #16810879C22semidirect
114. #16810864C22semidirect
115. #16810863C22semidirect
117. #16810855C22semidirect
119. #16810851C22semidirect
120. #16810846C22semidirect
127. #16810832C22semidirect
128. #16810831C22semidirect
129. #16810827C22semidirect
130. #16810826C22semidirect
132. #16810786C22semidirect
134. #16810784C22semidirect
136. #16810776C22semidirect
141. #16810750C22semidirect
142. C8×Dic106C22semidirect
147. #16810730C22semidirect
148. #16810729C22semidirect
149. #16810726C22semidirect
150. #16810726C22semidirect
151. #16810724C22semidirect
152. #16810722C22semidirect
153. #16810720C22semidirect
154. #16810720C22semidirect
155. C4×#11719925C22semidirect
156. #16810715C22semidirect
157. #16810715C22semidirect
158. #16810714C22semidirect
159. #16810714C22semidirect
160. C4×#11719913C22semidirect
161. SD16×Dic53C22semidirect
162. #16810710C22semidirect
163. #16810708C22semidirect
164. #16810708C22semidirect
171. #16810697C22semidirect
172. #16810697C22semidirect
173. C8×C22⋊D53C22semidirect
174. C8×C22⋊D53C22semidirect
175. #16810681C22semidirect
176. #16810681C22semidirect
177. #16810679C22semidirect
178. #16810666C22semidirect
179. #16810663C22semidirect
180. #16810658C22semidirect
182. #16810618C22semidirect
183. #16810616C22semidirect
184. C2×#13133139C22semidirect
185. #16810578C22semidirect
186. #16810578C22semidirect
187. C4×C8×D53C22semidirect
190. C53×#488C22semidirect
191. C53×#483C22semidirect
193. C53×#478C22semidirect
194. C53×#467C22semidirect
196. C53×#464C22semidirect
198. C53×#450C22semidirect
199. C4×SD16×C53C22semidirect
202. C2×#102×C53C22semidirect
853. #3296D53semidirect
937. #488C2×D53semidirect
947. #483C2×D53semidirect
959. #478C2×D53semidirect
970. #467C2×D53semidirect
977. #464C2×D53semidirect
995. #450C2×D53semidirect
1024. C4×SD16C2×D53semidirect
1047. C2×#102C2×D53semidirect
1051. C53#61501semidirect

Maximal subgroups

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

subgroupindex
#202887902
#202887722
#202877942
#202876732
#202873652
#202873612
#202872842
#202872632
#202872532
#202866282
#202866272
#202865712
#202865612
#202865522
#202863222
#202862432
#202862382
#202853862
#202853782
#202852842
#202849322
#202849222
#202849002
#202848942
#202848292
#202848232
#202836872
#202835502
#202835412
C4×#131332382
C53×#32962
#6150153