Finite Group Databasebeta

← #28281298

Subgroups — #28281298

Order 13568.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289350C211yesmaximal, characteristic, complemented
2#20288662C211yesmaximal, characteristic, complemented
3#20287673C211yesmaximal, characteristic, complemented
4#20287587C211yesmaximal, characteristic, complemented
5#20287481C211yesmaximal, characteristic, complemented
6#20287376C211yesmaximal, characteristic, complemented
7#20287303C211yesmaximal, characteristic, complemented
8#20287269C211yesmaximal, characteristic, complemented
9#20287268C211yesmaximal, characteristic, complemented
10#20287241C211yesmaximal, characteristic, complemented
11#20287151C211yesmaximal, characteristic, complemented
12#20286944C211yesmaximal, characteristic, complemented
13#20286934C211yesmaximal, characteristic, complemented
14#20286910C211yesmaximal, characteristic, complemented
15#20286877C211yesmaximal, characteristic, complemented
16#20286862C211yesmaximal, characteristic, complemented
17#20286552C211yesmaximal, characteristic, complemented
18#20286170C211yesmaximal, characteristic, complemented
19#20286119C211yesmaximal, characteristic, complemented
20#20286115C211yesmaximal, characteristic, complemented
21#20286011C211yesmaximal, characteristic, complemented
22#20285972C211yesmaximal, characteristic, complemented
23#20285895C211yesmaximal, characteristic, complemented
24#20284995C211yesmaximal, characteristic, complemented
25#20284894C211yesmaximal, characteristic, complemented
26#20284760C211yesmaximal, characteristic, complemented
27#20284571C211yesmaximal, characteristic, complemented
28#20284549C211yesmaximal, characteristic, complemented
29#20284510C211yesmaximal, characteristic, complemented
30#20283865C211yesmaximal, characteristic, complemented
31C53×#3339C211yesmaximal, characteristic, complemented
32#16811375—21no—
33#16811368—21no—
34#16811356C2211yescharacteristic
35#16811350C2211yescharacteristic, complemented
36#16811343—21no—
37#16811341C2211yescharacteristic
38#16811337C2211yescharacteristic, complemented
39#16811332C2211yescharacteristic, complemented
40#16811329C2211yescharacteristic
41#16811325C2211yescharacteristic
42#16811323—21no—
43#16811313C2211yescharacteristic, complemented
44#16811312C2211yescharacteristic
45#16811310—21no—
46#16811308C2211yescharacteristic, complemented
47#16811301—21no—
48#16811298—21no—
49#16811274C2211yescharacteristic
50#16811270—21no—
51#16811270C2211yescharacteristic
52#16811269C2211yescharacteristic
53#16811257C2211yescharacteristic
54#16811254C2211yescharacteristic, complemented
55#16811251C2211yescharacteristic, complemented
56#16811241—21no—
57#16811240—21no—
58#16811240C2211yescharacteristic
59#16811240C2211yescharacteristic, complemented
60#16811240C2211yescharacteristic, complemented
61#16811230—21no—
62#16811226C2211yescharacteristic
63#16811215—21no—
64#16811214—21no—
65#16811205—21no—
66#16811179C2211yescharacteristic, complemented
67#16811158C2211yescharacteristic
68#16811155C2211yescharacteristic
69#16811155C2211yescharacteristic, complemented
70#16811132—21no—
71#123×D53—21no—
72#16811104C2211yescharacteristic
73#16811097C2211yescharacteristic
74C4×D4×D53C2211yescharacteristic
75#16811031C2211yescharacteristic, complemented
76#16811030C2211yescharacteristic, complemented
77#16811023C2211yescharacteristic, complemented
78#16811022C2211yescharacteristic, complemented
79#16811020C2211yescharacteristic, complemented
80#16810986C2211yescharacteristic
81#16810981C2211yescharacteristic, complemented
82#16810980C2211yescharacteristic, complemented
83#16810978C2211yescharacteristic, complemented
84#16810976C2211yescharacteristic, complemented
85#16810968C2211yescharacteristic
86#16810967C2211yescharacteristic, complemented
87#16810966C2211yescharacteristic, complemented
88#16810964C2211yescharacteristic, complemented
89#16810964C2211yescharacteristic, complemented
90#16810960C2211yescharacteristic, complemented
91#16810954C2211yescharacteristic, complemented
92#16810953C2211yescharacteristic, complemented
93#16810950C2211yescharacteristic
94#16810949C2211yescharacteristic
95#16810948C2211yescharacteristic, complemented
96#16810944C2211yescharacteristic, complemented
97#16810940C2211yescharacteristic, complemented
98#16810939C2211yescharacteristic
99#16810936C2211yescharacteristic, complemented
100#16810929C2211yescharacteristic, complemented
101#16810929C2211yescharacteristic, complemented
102#16810929C2211yescharacteristic, complemented
103#16810927C2211yescharacteristic, complemented
104#16810926C2211yescharacteristic
105#16810926C2211yescharacteristic
106#16810926C2211yescharacteristic, complemented
107#16810925C2211yescharacteristic, complemented
108#16810925C2211yescharacteristic, complemented
109#16810924C2211yescharacteristic
110#16810923C2211yescharacteristic, complemented
111#16810922C2211yescharacteristic
112#16810922C2211yescharacteristic, complemented
113#16810920C2211yescharacteristic
114#16810917C2211yescharacteristic, complemented
115#16810917C2211yescharacteristic, complemented
116#16810917C2211yescharacteristic, complemented
117#16810912C2211yescharacteristic
118#16810912C2211yescharacteristic, complemented
119#16810912C2211yescharacteristic, complemented
120#16810911C2211yescharacteristic, complemented
121#16810907C2211yescharacteristic, complemented
122#16810902C2211yescharacteristic
123#16810902C2211yescharacteristic
124#16810902C2211yescharacteristic
125#16810902C2211yescharacteristic, complemented
126#16810901C2211yescharacteristic, complemented
127#16810901C2211yescharacteristic, complemented
128#16810882C2211yescharacteristic, complemented
129#16810875C2211yescharacteristic
130#16810874C2211yescharacteristic, complemented
131#16810870C2211yescharacteristic
132#16810868C2211yescharacteristic, complemented
133#16810867C2211yescharacteristic
134#16810867C2211yescharacteristic, complemented
135#16810867C2211yescharacteristic, complemented
136#16810864C2211yescharacteristic, complemented
137#16810852C2211yescharacteristic, complemented
138#16810846C2211yescharacteristic, complemented
139#16810844C2211yescharacteristic, complemented
140#16810844C2211yescharacteristic, complemented
141#16810838C2211yescharacteristic, complemented
142#16810837C2211yescharacteristic
143#16810837C2211yescharacteristic, complemented
144#16810836C2211yescharacteristic, complemented
145#16810836C2211yescharacteristic, complemented
146#16810822C2211yescharacteristic
147#16810816C2211yescharacteristic
148#16810787C2211yescharacteristic
149#16810776C2211yescharacteristic
150#16810775C2211yescharacteristic
151#16810766C2211yescharacteristic
152#16810756C2211yescharacteristic
153#16810755C2211yescharacteristic
154#16810750C2211yescharacteristic, complemented
155C8×Dic106C2211yescharacteristic, complemented
156#16810732C2211yescharacteristic
157#16810732C2211yescharacteristic
158#16810729C2211yescharacteristic, complemented
159#16810722C2211yescharacteristic, complemented
160#16810714C2211yescharacteristic, complemented
161C4×#11719913C2211yescharacteristic
162#16810710C2211yescharacteristic
163#16810710C2211yescharacteristic
164C4×#11719923C2211yescharacteristic, complemented
165C4×#11719922C2211yescharacteristic
166#16810703C2211yescharacteristic, complemented
167#16810701C2211yescharacteristic, complemented
168#16810698C2211yescharacteristic
169#16810698C2211yescharacteristic, complemented
170#16810694C2211yescharacteristic
171#16810694C2211yescharacteristic, complemented
172#16810681C2211yescharacteristic, complemented
173#16810681C2211yescharacteristic, complemented
174#16810674C2211yescharacteristic, complemented
175#16810666C2211yescharacteristic, complemented
176#16810664C2211yescharacteristic, complemented
177#16810663C2211yescharacteristic, complemented
178#16810662C2211yescharacteristic, complemented
179#16810649C2211yescharacteristic, complemented
180#16810649C2211yescharacteristic, complemented
181#16810645C2211yescharacteristic, complemented
182#16810627C2211yescharacteristic
183#16810626C2211yescharacteristic
184#16810626C2211yescharacteristic
185#16810622C2211yescharacteristic
186#16810620C2211yescharacteristic
187C2×#13133139C2211yescharacteristic
188C53×#553C2211yescharacteristic
189C53×#553C2211yescharacteristic, complemented
190C53×#499C2211yescharacteristic, complemented
191C53×#482C2211yescharacteristic
192C53×#482C2211yescharacteristic, complemented
193C53×#481C2211yescharacteristic, complemented
194C53×#481C2211yescharacteristic, complemented
195C53×#478C2211yescharacteristic, complemented
196C53×#478C2211yescharacteristic, complemented
197C53×#466C2211yescharacteristic
198C53×#466C2211yescharacteristic, complemented
199C4×D8×C53C2211yescharacteristic, complemented
200C8×D4×C53C2211yescharacteristic, complemented
201C53×#427C2211yescharacteristic, complemented
202C2×#107×C53C2211yescharacteristic, complemented
203C2×#11719945—21no—
204C2×#11719945C2311yescharacteristic
205C22×D212C2311yescharacteristic
206C2×D4×D53—21no—
207C2×D4×D53C2311yescharacteristic
208C22×C4×D53—21no—
209C2×Dic212C2311yescharacteristic
210C2×#11719913C2311yescharacteristic
211C2×#11719913C2311yescharacteristic
212C2×#11719923C2311yescharacteristic
213C2×#11719923C2311yescharacteristic
214C2×#11719922C2311yescharacteristic
215C2×#11719922C2311yescharacteristic
216C2×#11719917C2311yescharacteristic
217C2×#11719917C2311yescharacteristic
218C2×#11719912C2311yescharacteristic
219C2×#11719912C2311yescharacteristic
220#13133217—21no—
221#13133216—21no—
222#13133216—21no—
223#13133216C2311yescharacteristic
224#13133216C2311yescharacteristic
225#13133216C2311yescharacteristic
226#13133216C2311yescharacteristic
227#13133216C2311yescharacteristic
228#13133213C2311yescharacteristic
229#13133212—21no—
230#13133212—21no—
231#13133211—21no—
232#13133210—21no—
233#13133210—21no—
234#13133210—21no—
235#13133210—21no—
236#13133210—21no—
237#13133210—21no—
238#13133210—21no—
239#13133210—21no—
240#13133210D411yescharacteristic
241#13133210D411yescharacteristic
242#13133209—21no—
243#13133209—21no—
244#13133209C2311yescharacteristic
245#13133208—21no—
246#13133208D411yescharacteristic
247#13133208C2311yescharacteristic
248#13133208C2311yescharacteristic
249#13133208C2311yescharacteristic
250#13133208C2311yescharacteristic
251#13133207—21no—
252#13133207—21no—
253#13133207—21no—
254#13133207—21no—
255#13133205C2311yescharacteristic
256#13133204—21no—
257#13133204—21no—
258#13133204—21no—
259#13133204—21no—
260#13133204D411yescharacteristic
261#13133204C2311yescharacteristic
262#13133204C2311yescharacteristic
263#13133203—21no—
264#13133203—21no—
265#13133203—21no—
266#13133202—21no—
267#13133202—21no—
268#13133202—21no—
269#13133201—21no—
270#13133201—21no—
271#13133200—21no—
272#13133200—21no—
273#13133200—21no—
274#13133199—21no—
275#13133199—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#13133197D411yescharacteristic
287#13133197C2311yescharacteristic
288#13133197C2311yescharacteristic
289#13133196—21no—
290#13133196—21no—
291#13133196—21no—
292#13133196C2311yescharacteristic
293#13133196C2311yescharacteristic
294#13133196C2311yescharacteristic
295#13133195—21no—
296#13133195—21no—
297#13133195—21no—
298#13133195—21no—
299#13133195—21no—
300#13133194—21no—
301#13133194—21no—
302#13133194—21no—
303#13133194—21no—
304#13133194—21no—
305#13133194—21no—
306#13133194—21no—
307#13133192C2311yescharacteristic
308#13133191C2311yescharacteristic
309#13133190—21no—
310#13133190—21no—
311#13133189—21no—
312#13133189—21no—
313#13133189—21no—
314#13133188—21no—
315#13133188—21no—
316#13133188D411yescharacteristic
317#13133188C2311yescharacteristic
318#13133187—21no—
319#13133185—21no—
320#13133185—21no—
321#13133185—21no—
322C4×Dic106—21no—
323C4×Dic106C2311yescharacteristic
324C4×Dic106C2311yescharacteristic
325#13133182—21no—
326#13133182—21no—
327#13133182—21no—
328#13133182C2311yescharacteristic
329#13133182C2311yescharacteristic
330#13133182C2311yescharacteristic
331#13133182C2311yescharacteristic
332C4×D212—21no—
333C4×D212—21no—
334C4×D212C2311yescharacteristic
335D4×Dic53—21no—
336D4×Dic53C2311yescharacteristic
337D4×Dic53C2311yescharacteristic
338D4×Dic53C2311yescharacteristic
339#13133179—21no—
340#13133179C2311yescharacteristic
341#13133179C2311yescharacteristic
342#13133179C2311yescharacteristic
343#13133179C2311yescharacteristic
344#13133179C2311yescharacteristic
345C4×C22⋊D53—21no—
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#13133176—21no—
354#13133176—21no—
355#13133176C2311yescharacteristic
356#13133176C2311yescharacteristic
357#13133176C2311yescharacteristic
358#13133175—21no—
359#13133175—21no—
360#13133175C2311yescharacteristic
361#13133175C2311yescharacteristic
362#13133174—21no—
363#13133173—21no—
364#13133173—21no—
365C2×C4⋊Dic53C2311yescharacteristic
366C2×#11719919—21no—
367C4⋊C4×D53—21no—
368C4⋊C4×D53—21no—
369C4⋊C4×D53C2311yescharacteristic
370C22⋊C4×D53—21no—
371C22⋊C4×D53—21no—
372C22⋊C4×D53—21no—
373C22⋊C4×D53—21no—
374C22⋊C4×D53—21no—
375C42×D53C2311yescharacteristic
376#13133151C2311yescharacteristic
377#13133150C2311yescharacteristic
378#13133150C2311yescharacteristic
379#13133150C2311yescharacteristic
380#13133150C2311yescharacteristic
381#13133150C2311yescharacteristic
382#13133150C2311yescharacteristic
383#13133149C2311yescharacteristic
384#13133149C2311yescharacteristic
385#13133148C2311yescharacteristic
386#13133148C2311yescharacteristic
387#13133148C2311yescharacteristic
388#13133148C2311yescharacteristic
389#13133148C2311yescharacteristic
390#13133148C2311yescharacteristic
391C4⋊#88322C2311yescharacteristic
392#13133146C2311yescharacteristic
393#13133146C2311yescharacteristic
394#13133146C2311yescharacteristic
395#13133146C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133142C2311yescharacteristic
401#13133142C2311yescharacteristic
402#13133142C2311yescharacteristic
403#13133142C2311yescharacteristic
404#13133140C2311yescharacteristic
405#13133140C2311yescharacteristic
406#13133140C2311yescharacteristic
407#13133140C2311yescharacteristic
408#13133140C2311yescharacteristic
409#13133140C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133139C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425#13133137C2311yescharacteristic
426C22⋊#88322C2311yescharacteristic
427C22⋊#88322C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133129C2311yescharacteristic
430#13133127C2311yescharacteristic
431#13133127C2311yescharacteristic
432C4×#88322C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C2×D8×C53C2311yescharacteristic
436C22×C8×C53C2311yescharacteristic
437C22×C8×C53C2311yescharacteristic
438#126×C53—21no—
439#126×C53—21no—
440#125×C53C2311yescharacteristic
441#125×C53C2311yescharacteristic
442#123×C53—21no—
443#123×C53—21no—
444#121×C53—21no—
445#121×C53—21no—
446#121×C53C2311yescharacteristic
447#121×C53C2311yescharacteristic
448#121×C53C2311yescharacteristic
449#121×C53C2311yescharacteristic
450C4×D4×C53—21no—
451C4×D4×C53—21no—
452C4×D4×C53C2311yescharacteristic
453C4×D4×C53C2311yescharacteristic
454C4×D4×C53C2311yescharacteristic
455#117×C53C2311yescharacteristic
456#117×C53C2311yescharacteristic
457C2×C4⋊C4×C53C2311yescharacteristic
458C2×C4⋊C4×C53C2311yescharacteristic
459#107×C53C2311yescharacteristic
460#107×C53C2311yescharacteristic
461#107×C53C2311yescharacteristic
462#107×C53C2311yescharacteristic
463#107×C53C2311yescharacteristic
464#106×C53C2311yescharacteristic
465#106×C53C2311yescharacteristic
466#106×C53C2311yescharacteristic
467#106×C53C2311yescharacteristic
468C4⋊C8×C53C2311yescharacteristic
469#102×C53C2311yescharacteristic
470#102×C53C2311yescharacteristic
471#102×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475C22⋊C8×C53C2311yescharacteristic
476C22⋊C8×C53C2311yescharacteristic
477C4×C8×C53C2311yescharacteristic
478C23×D53—21no—
479C23×D53—21no—
480C2×D4×C53—21no—
481C2×D4×C53—21no—
482C2×D4×C53—21no—
483C2×D4×C53—21no—
484C2×D4×C53C2×D411yescharacteristic
485C2×D4×C53C2411yescharacteristic
486C2×D4×C53C2411yescharacteristic
487C22×C4×C53—21no—
488C22×C4×C53—21no—
489C22×C4×C53—21no—
490C22×C4×C53—21no—
491C22×C4×C53C2411yescharacteristic
492C22×C4×C53C2411yescharacteristic
493C2×C22⋊D53—21no—
494C2×C22⋊D53—21no—
495C2×C22⋊D53—21no—
496C2×C22⋊D53—21no—
497C2×C22⋊D53—21no—
498C2×C22⋊D53—21no—
499C2×C22⋊D53C2×D411yescharacteristic
500C2×C22⋊D53C2×D411yescharacteristic
501C22×Dic53—21no—
502C22×Dic53—21no—
503C22×Dic53—21no—
504C22×Dic53—21no—
505D4×D53—22no—
506D4×D53—41no—
507D4×D53—82no—
508#11719945—22no—
509#11719945—41no—
510#11719945—82no—
511C2×D212—22no—
512C2×D212—21no—
513C2×D212—21no—
514C2×D212—41no—
515C2×D212C2411yescharacteristic
516C2×D212C2411yescharacteristic
517C2×C4×D53—21no—
518C2×C4×D53—21no—
519C2×C4×D53—21no—
520C2×C4×D53—21no—
521C2×C4×D53—21no—
522C2×C4×D53—21no—
523C2×C4×D53—21no—
524C2×C4×D53—21no—
525C2×C4×D53—82no—
526C2×C4×D53C2×D411yescharacteristic
527C2×C4×D53C2×D411yescharacteristic
528C2×C4×D53C2411yescharacteristic
529C2×Dic106—21no—
530C2×Dic106—21no—
531C2×Dic106—21no—
532C2×Dic106—21no—
533C2×Dic106—21no—
534C2×Dic106C2×D411yescharacteristic
535C2×Dic106C2411yescharacteristic
536C2×Dic106C2411yescharacteristic
537D8×C53—41no—
538C2×C8×C53—41no—
539C2×C8×C53—41no—
540C2×C8×C53C2411yescharacteristic
541C2×C8×C53C2411yescharacteristic
542C2×C8×C53C2411yescharacteristic
543C2×C8×C53C2411yescharacteristic
544C4⋊C4×C53—21no—
545C4⋊C4×C53—21no—
546C4⋊C4×C53—21no—
547C4⋊C4×C53—21no—
548C4⋊C4×C53—21no—
549C4⋊C4×C53—21no—
550C4⋊C4×C53C2×D411yescharacteristic
551C4⋊C4×C53C2411yescharacteristic
552C4⋊C4×C53C2411yescharacteristic
553C4⋊C4×C53C2411yescharacteristic
554C4⋊C4×C53C2411yescharacteristic
555C4⋊C4×C53C2411yescharacteristic
556C4⋊C4×C53C2411yescharacteristic
557C22⋊C4×C53—21no—
558C22⋊C4×C53—21no—
559C22⋊C4×C53—21no—
560C22⋊C4×C53—21no—
561C22⋊C4×C53—21no—
562C22⋊C4×C53—21no—
563C22⋊C4×C53—21no—
564C22⋊C4×C53—21no—
565C22⋊C4×C53C2×D411yescharacteristic
566C22⋊C4×C53C2×D411yescharacteristic
567C42×C53—21no—
568C42×C53—21no—
569C42×C53C2411yescharacteristic
570C22⋊Dic53—21no—
571C22⋊Dic53—21no—
572C22⋊Dic53—21no—
573C22⋊Dic53—21no—
574C22⋊Dic53—21no—
575C22⋊Dic53—21no—
576C22⋊Dic53—21no—
577C22⋊Dic53—21no—
578C22⋊Dic53—21no—
579C22⋊Dic53—21no—
580C22⋊Dic53—21no—
581C22⋊Dic53—21no—
582C22⋊Dic53C2×D411yescharacteristic
583C22⋊Dic53C2×D411yescharacteristic
584C22⋊Dic53C2×D411yescharacteristic
585C22⋊Dic53C2×D411yescharacteristic
586C22⋊Dic53C2×D411yescharacteristic
587C22⋊Dic53C2×D411yescharacteristic
588#11719923—41no—
589#11719923—41no—
590#11719922—22no—
591#11719922—41no—
592#11719921—21no—
593#11719921—21no—
594#11719921—21no—
595#11719921—21no—
596#11719921—21no—
597#11719921—21no—
598#11719921—21no—
599#11719921—21no—
600#11719921—21no—
601#11719921—21no—
602#11719921—21no—
603#11719921—21no—
604#11719921—21no—
605#11719921—21no—
606#11719921C2×D411yescharacteristic
607#11719921C2×D411yescharacteristic
608C4⋊Dic53—21no—
609C4⋊Dic53—21no—
610C4⋊Dic53—21no—
611C4⋊Dic53—21no—
612C4⋊Dic53—21no—
613C4⋊Dic53—21no—
614C4⋊Dic53—21no—
615C4⋊Dic53C2×D411yescharacteristic
616C4⋊Dic53C2×D411yescharacteristic
617C4⋊Dic53C2×D411yescharacteristic
618C4⋊Dic53C2×D411yescharacteristic
619C4⋊Dic53C2×D411yescharacteristic
620C4⋊Dic53C2411yescharacteristic
621C4⋊Dic53C2411yescharacteristic
622C4⋊Dic53C2411yescharacteristic
623C4⋊Dic53C2411yescharacteristic
624#11719919—21no—
625#11719919—21no—
626#11719919—21no—
627#11719919—21no—
628#11719919—21no—
629#11719919—21no—
630#11719919—21no—
631#11719919—21no—
632#11719919—21no—
633#11719919—21no—
634#11719919—21no—
635#11719919—21no—
636#11719919—21no—
637#11719919—21no—
638#11719919—21no—
639#11719919—21no—
640#11719919—21no—
641#11719919—21no—
642#11719919—21no—
643#11719919—21no—
644#11719919C2×D411yescharacteristic
645#11719919C2×D411yescharacteristic
646#11719919C2×D411yescharacteristic
647#11719919C2×D411yescharacteristic
648C4×Dic53—21no—
649C4×Dic53—21no—
650C4×Dic53—21no—
651C4×Dic53—21no—
652C4×Dic53—21no—
653C4×Dic53—21no—
654C4×Dic53—21no—
655C4×Dic53—21no—
656C4×Dic53C2×D411yescharacteristic
657C4×Dic53C2×D411yescharacteristic
658C4×Dic53C2411yescharacteristic
659C4×Dic53C2411yescharacteristic
660C4×Dic53C2411yescharacteristic
661#11719917—41no—
662#11719917—41no—
663C2×#88322C2411yescharacteristic
664C2×#88322C2411yescharacteristic
665C2×#88322C2411yescharacteristic
666C2×#88322C2411yescharacteristic
667Dic212—41no—
668#11719913—22no—
669#11719913—41no—
670#11719912—41no—
671#11719912—41no—
672C23×C53—21no—
673C23×C53—21no—
674C23×C53C22×D411yescharacteristic
675C23×C53C22×D411yescharacteristic
676C22×D53—21no—
677C22×D53—21no—
678C22×D53—42no—
679C22×D53—42no—
680C22×D53—42no—
681C22×D53—81no—
682C22×D53—81no—
683C22×D53—81no—
684C22×D53C22×D411yescharacteristic
685D4×C53—21no—
686D4×C53—21no—
687D4×C53—21no—
688D4×C53—21no—
689D4×C53—41no—
690D4×C53—81no—
691D4×C53—81no—
692D4×C53—81no—
693D4×C53—81no—
694C2×C4×C53—21no—
695C2×C4×C53—21no—
696C2×C4×C53—21no—
697C2×C4×C53—21no—
698C2×C4×C53—21no—
699C2×C4×C53—21no—
700C2×C4×C53—21no—
701C2×C4×C53—21no—
702C2×C4×C53—21no—
703C2×C4×C53—21no—
704C2×C4×C53—81no—
705C2×C4×C53—81no—
706C2×C4×C53—81no—
707C2×C4×C53—81no—
708C2×C4×C53C22×D411yescharacteristic
709C2×C4×C53C22×D411yescharacteristic
710C2×C4×C53C22×D411yescharacteristic
711C2×C4×C53C22×D411yescharacteristic
712C2×C4×C53C2511yescharacteristic
713C22⋊D53—41no—
714C22⋊D53—41no—
715C22⋊D53—42no—
716C22⋊D53—42no—
717C22⋊D53—81no—
718C22⋊D53—81no—
719C22⋊D53—81no—
720C22⋊D53—81no—
721C2×Dic53—21no—
722C2×Dic53—21no—
723C2×Dic53—21no—
724C2×Dic53—21no—
725C2×Dic53—21no—
726C2×Dic53—21no—
727C2×Dic53—81no—
728C2×Dic53—81no—
729C2×Dic53—81no—
730C2×Dic53—81no—
731C2×Dic53C22×D411yescharacteristic
732C2×Dic53C22×D411yescharacteristic
733C2×Dic53C22×D411yescharacteristic
734C2×Dic53C22×D411yescharacteristic
735C2×Dic53C22×D411yescharacteristic
736C2×Dic53C22×D411yescharacteristic
737C2×Dic53C22×D411yescharacteristic
738D212—21no—
739D212—21no—
740D212—21no—
741D212—42no—
742D212—42no—
743D2122−1+412yes—
744C4×D53—21no—
745C4×D53—21no—
746C4×D53—41no—
747C4×D53—41no—
748C4×D53—42no—
749C4×D53—42no—
750C4×D53—81no—
751C4×D53—81no—
752C4×D53—81no—
753C4×D53—81no—
754C4×D53—81no—
755C4×D53—81no—
756Dic106—21no—
757Dic106—21no—
758Dic106—21no—
759Dic106—21no—
760Dic106—41no—
761Dic106—81no—
762Dic106—81no—
763Dic106—81no—
764Dic106—81no—
765Dic106—81no—
766C8×C53—21no—
767C8×C53—21no—
768C8×C53—21no—
769C8×C53—21no—
770#88322—21no—
771#88322—21no—
772#88322—21no—
773#88322—21no—
774#62175—531nomaximal, Sylow
775C22×C53—21no—
776C22×C53—21no—
777C22×C53—21no—
778C22×C53—21no—
779C22×C53—21no—
780C22×C53—21no—
781C22×C53—41no—
782C22×C53—41no—
783C22×C53—41no—
784C22×C53—41no—
785C22×C53—41no—
786C22×C53—41no—
787C22×C53C23×D411yescharacteristic
788C2×D53—21no—
789C2×D53—21no—
790C2×D53—21no—
791C2×D53—22no—
792C2×D53—41no—
793C2×D53—41no—
794C2×D53—41no—
795C2×D53—41no—
796C2×D53—41no—
797C2×D53—84no—
798C2×D53—162no—
799C4×C53—21no—
800C4×C53—21no—
801C4×C53—21no—
802C4×C53—21no—
803C4×C53—41no—
804C4×C53—41no—
805C4×C53—41no—
806C4×C53—41no—
807C4×C53—41no—
808C4×C53—41no—
809C4×C53C2×2−1+411yescharacteristic
810C4×C53#58511yescharacteristic
811Dic53—21no—
812Dic53—21no—
813Dic53—21no—
814Dic53—21no—
815Dic53—21no—
816Dic53—21no—
817Dic53—21no—
818Dic53—41no—
819Dic53—41no—
820Dic53—41no—
821Dic53—41no—
822Dic53—41no—
823Dic53—41no—
824#3565—531no—
825#3513—531no—
826#3389—531no—
827#3381—531no—
828#3371—531no—
829#3361—531no—
830#3354—531no—
831#3351—531no—
832#3351—531no—
833#3349—531no—
834#3343—531no—
835#3339D5311yescharacteristic, complemented
836#3324—531no—
837#3323—531no—
838#3322—531no—
839#3319—531no—
840#3318—531no—
841#3296—531no—
842#3262—531no—
843#3257—531no—
844#3256—531no—
845#3244—531no—
846#3241—531no—
847#3233—531no—
848#3125—531no—
849#3118—531no—
850#3105—531no—
851#3083—531no—
852#3081—531no—
853#3077—531no—
854#2993—531no—
855C2×C53—41no—
856C2×C53—41no—
857C2×C53—81no—
858C2×C53—81no—
859C2×C53#348911yescharacteristic
860C2×C53#358411yescharacteristic
861C2×C53#358511yescharacteristic
862D53—41no—
863D53—42no—
864D53—81no—
865#563—1061no—
866#562—1061no—
867#559—531no—
868#557—531no—
869#556—531no—
870#556—1061no—
871#555—531no—
872#554—531no—
873#554—531no—
874#553—531no—
875#553—1061no—
876#553C2×D5311yescharacteristic
877#553C2×D5311yescharacteristic, complemented
878#552—531no—
879#552—531no—
880#552—531no—
881#552—1061no—
882#551—1061no—
883#551—1061no—
884#547—531no—
885#546—531no—
886#546—531no—
887#546—1061no—
888D42—531no—
889#544—531no—
890#544—531no—
891#542—531no—
892#542—531no—
893#542—531no—
894#542—1061no—
895#542—1061no—
896#541—1061no—
897#540—531no—
898#539—1061no—
899#539—1061no—
900#538—1061no—
901#533—531no—
902#529—531no—
903#529—531no—
904#529—531no—
905#525—1061no—
906C2×#123—1061no—
907#520—531no—
908#518—531no—
909C2×C4×D4—531no—
910#501—531no—
911#501—531no—
912#499—531no—
913#499—531no—
914#499C2×D5311yescharacteristic, complemented
915#498—531no—
916#490—531no—
917#489—531no—
918#488—531no—
919#488—531no—
920#488—531no—
921#486—531no—
922#485—531no—
923#485—531no—
924#485—531no—
925#485—531no—
926#484—531no—
927#483—531no—
928#483—531no—
929#482—531no—
930#482—531no—
931#482—531no—
932#482—531no—
933#482C2×D5311yescharacteristic
934#482C2×D5311yescharacteristic, complemented
935#481—531no—
936#481—531no—
937#481C2×D5311yescharacteristic, complemented
938#481C2×D5311yescharacteristic, complemented
939#480—531no—
940#479—531no—
941#479—531no—
942#479—531no—
943#479—531no—
944#478—531no—
945#478—531no—
946#478—531no—
947#478—531no—
948#478—531no—
949#478—531no—
950#478—531no—
951#478—531no—
952#478—531no—
953#478—531no—
954#478C2×D5311yescharacteristic, complemented
955#478C2×D5311yescharacteristic, complemented
956#477—531no—
957#477—531no—
958#477—531no—
959#476—531no—
960#476—531no—
961#476—531no—
962#476—531no—
963#475—531no—
964#474—531no—
965#474—531no—
966#474—531no—
967#474—531no—
968#474—531no—
969#474—531no—
970#470—531no—
971#469—531no—
972#469—531no—
973#468—531no—
974#468—531no—
975#468—531no—
976#468—531no—
977#468—531no—
978#467—531no—
979#466C2×D5311yescharacteristic
980#466C2×D5311yescharacteristic, complemented
981#465—531no—
982#464—531no—
983#464—531no—
984#464—531no—
985#463—531no—
986#463—531no—
987#463—531no—
988#463—531no—
989#463—531no—
990#460—531no—
991#459—531no—
992#452—531no—
993#450—531no—
994#450—531no—
995#449—531no—
996#447—531no—
997#447—531no—
998#446—531no—
999C8×Q8—531no—
1000#442—531no—
1001#442—531no—
1002#441—531no—
1003#440—531no—
1004C4×SD16—531no—
1005C4×SD16—531no—
1006C4×SD16—531no—
1007C4×SD16—531no—
1008C4×SD16—531no—
1009C4×D8—531no—
1010C4×D8—531no—
1011C4×D8C2×D5311yescharacteristic, complemented
1012#436—531no—
1013#436—531no—
1014#436—531no—
1015#435—531no—
1016#435—531no—
1017C8×D4C2×D5311yescharacteristic, complemented
1018#433—531no—
1019#433—531no—
1020#431—531no—
1021#428—531no—
1022#428—531no—
1023#428—531no—
1024#428—531no—
1025#427C2×D5311yescharacteristic, complemented
1026C2×#107C2×D5311yescharacteristic, complemented
1027#424—531no—
1028#424—531no—
1029#423—531no—
1030#418—531no—
1031#418—531no—
1032#418—531no—
1033#417—531no—
1034#416—531no—
1035C2×#102—531no—
1036C53#6217511yescharacteristic, complemented, Sylow
1037C2×#41—531no—
1038C2×#41—1061no—
1039C22×D4—531no—
1040C22×D4—531no—
1041C22×D4—1061no—
1042C23×C4—1061no—
1043C2×Q16—531no—
1044C2×SD16—531no—
1045C2×SD16—531no—
1046C2×SD16—531no—
1047C2×SD16—531no—
1048C2×D8—531no—
1049C2×D8—531no—
1050C2×D8C22×D5311yescharacteristic
1051C2×M16—531no—
1052C2×M16—531no—
1053C2×M16—531no—
1054C2×M16—531no—
1055C22×C8C22×D5311yescharacteristic
1056C22×C8C22×D5311yescharacteristic
1057C4⋊Q8—531no—
1058C4⋊Q8—531no—
1059C4⋊Q8—531no—
1060C4⋊Q8—531no—
1061C4⋊Q8—531no—
1062C4⋊Q8—1061no—
1063C4⋊Q8—1061no—
1064C4⋊Q8—1061no—
1065#127—531no—
1066#126—21no—
1067#126—21no—
1068#126—531no—
1069#126—531no—
1070#126—1061no—
1071#126—1061no—
1072#126—1061no—
1073#126—1061no—
1074#126—1061no—
1075#126—1061no—
1076#126—1061no—
1077#126—1061no—
1078#126—1061no—
1079#126—1061no—
1080#126—1061no—
1081#125—531no—
1082#125—531no—
1083#125—531no—
1084#125—531no—
1085#125—531no—
1086#125—531no—
1087#125—1061no—
1088#125—1061no—
1089#125—1061no—
1090#125—1061no—
1091#125—1061no—
1092#125—1061no—
1093#125—1061no—
1094#125C22×D5311yescharacteristic
1095#125C22×D5311yescharacteristic
1096#124—531no—
1097#124—531no—
1098#124—531no—
1099#124—531no—
1100#124—1061no—
1101#124—1061no—
1102#124—1061no—
1103#124—1061no—
1104#124—1061no—
1105#124—1061no—
1106#124—1061no—
1107#123—21no—
1108#123—21no—
1109#123—531no—
1110#123—531no—
1111#123—1061no—
1112#123—1061no—
1113#123—1061no—
1114#123—1061no—
1115#123—1061no—
1116#123—1061no—
1117#123—1061no—
1118#123—1061no—
1119#123—1061no—
1120#123—1061no—
1121#123—1061no—
1122#123—1061no—
1123#123—1061no—
1124#123—1061no—
1125#123—1061no—
1126#123—1061no—
1127#123—1061no—
1128C22⋊Q8—531no—
1129C22⋊Q8—531no—
1130C22⋊Q8—531no—
1131C22⋊Q8—531no—
1132C22⋊Q8—531no—
1133C22⋊Q8—531no—
1134C22⋊Q8—1061no—
1135C22⋊Q8—1061no—
1136C22⋊Q8—1061no—
1137C22⋊Q8—1061no—
1138C22⋊Q8—1061no—
1139C22⋊Q8—1061no—
1140C22⋊Q8—1061no—
1141C22⋊Q8—1061no—
1142C22⋊Q8—1061no—
1143C22⋊Q8—1061no—
1144C22⋊Q8—1061no—
1145C22⋊Q8—1061no—
1146C22⋊Q8—1061no—
1147C22⋊Q8—1061no—
1148C22⋊Q8—1061no—
1149C22⋊Q8—1061no—
1150#121—21no—
1151#121—21no—
1152#121—531no—
1153#121—531no—
1154#121—531no—
1155#121—531no—
1156#121—1061no—
1157#121—1061no—
1158#121—1061no—
1159#121—1061no—
1160#121—1061no—
1161#121—1061no—
1162#121—1061no—
1163#121C22×D5311yescharacteristic
1164#121C22×D5311yescharacteristic
1165#121C22×D5311yescharacteristic
1166#121C22×D5311yescharacteristic
1167#120—1061no—
1168#120—1061no—
1169#120—1061no—
1170#120—1061no—
1171C4×Q8—531no—
1172C4×Q8—531no—
1173C4×Q8—531no—
1174C4×Q8—531no—
1175C4×Q8—531no—
1176C4×Q8—531no—
1177C4×Q8—1061no—
1178C4×Q8—1061no—
1179C4×Q8—1061no—
1180C4×Q8—1061no—
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—531no—
1184C4×D4—531no—
1185C4×D4—531no—
1186C4×D4—531no—
1187C4×D4—531no—
1188C4×D4—531no—
1189C4×D4—531no—
1190C4×D4—531no—
1191C4×D4—531no—
1192C4×D4—531no—
1193C4×D4—531no—
1194C4×D4—1061no—
1195C4×D4—1061no—
1196C4×D4—1061no—
1197C4×D4—1061no—
1198C4×D4—1061no—
1199C4×D4—1061no—
1200C4×D4—1061no—
1201C4×D4—1061no—
1202C4×D4—1061no—
1203C4×D4—1061no—
1204C4×D4C22×D5311yescharacteristic
1205C4×D4C22×D5311yescharacteristic
1206C4×D4C22×D5311yescharacteristic
1207#117—531no—
1208#117—531no—
1209#117—531no—
1210#117—531no—
1211#117—531no—
1212#117—1061no—
1213#117—1061no—
1214#117—1061no—
1215#117—1061no—
1216#117—1061no—
1217#117—1061no—
1218#117—1061no—
1219#117C22×D5311yescharacteristic
1220#117C22×D5311yescharacteristic
1221C2×C4⋊C4—531no—
1222C2×C4⋊C4—531no—
1223C2×C4⋊C4—1061no—
1224C2×C4⋊C4—1061no—
1225C2×C4⋊C4—1061no—
1226C2×C4⋊C4C22×D5311yescharacteristic
1227C2×C4⋊C4C22×D5311yescharacteristic
1228C2×C22⋊C4—1061no—
1229C2×C22⋊C4—1061no—
1230C2×C22⋊C4—1061no—
1231C2×C22⋊C4—1061no—
1232C2×C22⋊C4—1061no—
1233C2×C42—531no—
1234#107—531no—
1235#107—531no—
1236#107—531no—
1237#107—531no—
1238#107—531no—
1239#107—531no—
1240#107—531no—
1241#107C22×D5311yescharacteristic
1242#107C22×D5311yescharacteristic
1243#107C22×D5311yescharacteristic
1244#107C22×D5311yescharacteristic
1245#107C22×D5311yescharacteristic
1246#106—531no—
1247#106—531no—
1248#106—531no—
1249#106—531no—
1250#106—531no—
1251#106—531no—
1252#106—531no—
1253#106—531no—
1254#106C22×D5311yescharacteristic
1255#106C22×D5311yescharacteristic
1256#106C22×D5311yescharacteristic
1257#106C22×D5311yescharacteristic
1258C4⋊C8—531no—
1259C4⋊C8—531no—
1260C4⋊C8—531no—
1261C4⋊C8—531no—
1262C4⋊C8—531no—
1263C4⋊C8—531no—
1264C4⋊C8—531no—
1265C4⋊C8—531no—
1266C4⋊C8—531no—
1267C4⋊C8C22×D5311yescharacteristic
1268#103—531no—
1269#103—531no—
1270#103—531no—
1271#103—531no—
1272#103—531no—
1273#103—531no—
1274#103—531no—
1275#103—531no—
1276#103—531no—
1277#103—531no—
1278#102—531no—
1279#102—531no—
1280#102—531no—
1281#102—531no—
1282#102—531no—
1283#102—531no—
1284#102—531no—
1285#102—531no—
1286#102—531no—
1287#102—531no—
1288#102—531no—
1289#102—531no—
1290#102—531no—
1291#102—531no—
1292#102—531no—
1293#102—531no—
1294#102C22×D5311yescharacteristic
1295#102C22×D5311yescharacteristic
1296#102C22×D5311yescharacteristic
1297#102C22×D5311yescharacteristic
1298#102C22×D5311yescharacteristic
1299#102C22×D5311yescharacteristic
1300C22⋊C8—531no—
1301C22⋊C8—531no—
1302C22⋊C8—531no—
1303C22⋊C8—531no—
1304C22⋊C8C22×D5311yescharacteristic
1305C22⋊C8C22×D5311yescharacteristic
1306#97—531no—
1307#97—531no—
1308C4×C8—531no—
1309C4×C8—531no—
1310C4×C8—531no—
1311C4×C8C22×D5311yescharacteristic
1312C24—1061no—
1313C24—1061no—
1314#41—1062no—
1315#41—4242no—
1316#41—2121no—
1317C2×Q8—531no—
1318C2×Q8—531no—
1319C2×Q8—531no—
1320C2×Q8—1061no—
1321C2×Q8—1061no—
1322C2×Q8—1061no—
1323C2×Q8—1061no—
1324C2×Q8—1061no—
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—531no—
1330C2×D4—531no—
1331C2×D4—531no—
1332C2×D4—531no—
1333C2×D4—1062no—
1334C2×D4—1061no—
1335C2×D4—1061no—
1336C2×D4—1061no—
1337C2×D4—1061no—
1338C2×D4—1062no—
1339C2×D4—1061no—
1340C2×D4—1061no—
1341C2×D4—1061no—
1342C2×D4—1061no—
1343C2×D4—4242no—
1344C2×D4—2121no—
1345C2×D4—2121no—
1346C2×D4D4×D5311yescharacteristic
1347C2×D4C23×D5311yescharacteristic
1348C2×D4C23×D5311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—531no—
1354C22×C4—531no—
1355C22×C4—531no—
1356C22×C4—1061no—
1357C22×C4—1061no—
1358C22×C4—1061no—
1359C22×C4—1061no—
1360C22×C4—1061no—
1361C22×C4—1061no—
1362C22×C4—1061no—
1363C22×C4—1061no—
1364C22×C4—1061no—
1365C22×C4—1061no—
1366C22×C4—1061no—
1367C22×C4—1061no—
1368C22×C4—4242no—
1369C22×C4C23×D5311yescharacteristic
1370C22×C4C23×D5311yescharacteristic
1371Q16—2121no—
1372SD16—1062no—
1373SD16—2121no—
1374SD16—2121no—
1375SD16—2121no—
1376D8—41no—
1377D8—1062no—
1378D8—2121no—
1379M16—2121no—
1380M16—2121no—
1381M16—2121no—
1382M16—2121no—
1383C2×C8—41no—
1384C2×C8—41no—
1385C2×C8—531no—
1386C2×C8—531no—
1387C2×C8—531no—
1388C2×C8—531no—
1389C2×C8C23×D5311yescharacteristic
1390C2×C8C23×D5311yescharacteristic
1391C2×C8C23×D5311yescharacteristic
1392C2×C8C23×D5311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—531no—
1400C4⋊C4—531no—
1401C4⋊C4—531no—
1402C4⋊C4—531no—
1403C4⋊C4—531no—
1404C4⋊C4—531no—
1405C4⋊C4—531no—
1406C4⋊C4—531no—
1407C4⋊C4—531no—
1408C4⋊C4—531no—
1409C4⋊C4—531no—
1410C4⋊C4—531no—
1411C4⋊C4—531no—
1412C4⋊C4—1061no—
1413C4⋊C4—1061no—
1414C4⋊C4—1061no—
1415C4⋊C4—1061no—
1416C4⋊C4—1061no—
1417C4⋊C4—1061no—
1418C4⋊C4—1061no—
1419C4⋊C4—1061no—
1420C4⋊C4—1061no—
1421C4⋊C4—1061no—
1422C4⋊C4—1061no—
1423C4⋊C4—1061no—
1424C4⋊C4—1061no—
1425C4⋊C4—1061no—
1426C4⋊C4—1061no—
1427C4⋊C4—1061no—
1428C4⋊C4—1061no—
1429C4⋊C4—1061no—
1430C4⋊C4—1061no—
1431C4⋊C4—1061no—
1432C4⋊C4—1061no—
1433C4⋊C4—1061no—
1434C4⋊C4—1061no—
1435C4⋊C4—1061no—
1436C4⋊C4—1061no—
1437C4⋊C4—1061no—
1438C4⋊C4—1061no—
1439C4⋊C4D4×D5311yescharacteristic
1440C4⋊C4C23×D5311yescharacteristic
1441C4⋊C4C23×D5311yescharacteristic
1442C4⋊C4C23×D5311yescharacteristic
1443C4⋊C4C23×D5311yescharacteristic
1444C4⋊C4C23×D5311yescharacteristic
1445C4⋊C4C23×D5311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—531no—
1455C22⋊C4—531no—
1456C22⋊C4—531no—
1457C22⋊C4—531no—
1458C22⋊C4—531no—
1459C22⋊C4—531no—
1460C22⋊C4—531no—
1461C22⋊C4—531no—
1462C22⋊C4—1061no—
1463C22⋊C4—1061no—
1464C22⋊C4—1061no—
1465C22⋊C4—1061no—
1466C22⋊C4—1061no—
1467C22⋊C4—1061no—
1468C22⋊C4—1061no—
1469C22⋊C4—1061no—
1470C22⋊C4—1061no—
1471C22⋊C4—1061no—
1472C22⋊C4—1061no—
1473C22⋊C4—1061no—
1474C22⋊C4—1061no—
1475C22⋊C4—1061no—
1476C22⋊C4—1061no—
1477C22⋊C4—1061no—
1478C22⋊C4—1061no—
1479C22⋊C4—1061no—
1480C22⋊C4—1061no—
1481C22⋊C4—1061no—
1482C22⋊C4—1061no—
1483C22⋊C4—1061no—
1484C22⋊C4—1061no—
1485C22⋊C4—1061no—
1486C22⋊C4—1061no—
1487C22⋊C4—1061no—
1488C22⋊C4D4×D5311yescharacteristic
1489C22⋊C4D4×D5311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—531no—
1493C42—531no—
1494C42—531no—
1495C42—531no—
1496C42—531no—
1497C42—1061no—
1498C42—1061no—
1499C42—1061no—
1500C42—1061no—
1501C42—1061no—
1502C42—1061no—
1503C42—1061no—
1504C42—1061no—
1505C42C23×D5311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—531no—
1509C23—1061no—
1510C23—1061no—
1511C23—4241no—
1512C23—4241no—
1513C23—4241no—
1514C23—2122no—
1515C23—2122no—
1516C23—2122no—
1517C23C2×D4×D5311yescharacteristic
1518C23C2×D4×D5311yescharacteristic
1519Q8—1061no—
1520Q8—1061no—
1521Q8—1061no—
1522Q8—1061no—
1523Q8—4241no—
1524Q8—4241no—
1525Q8—4241no—
1526Q8—4241no—
1527Q8—4241no—
1528Q8—2121no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—41no—
1534D4—81no—
1535D4—81no—
1536D4—81no—
1537D4—81no—
1538D4—532no—
1539D4—1061no—
1540D4—1061no—
1541D4—1061no—
1542D4—4241no—
1543D4—4241no—
1544D4—4241no—
1545D4—4241no—
1546D4—2122no—
1547D4—2122no—
1548D4—2121no—
1549D4—2121no—
1550D4—2122no—
1551D4—2122no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—531no—
1567C2×C4—531no—
1568C2×C4—531no—
1569C2×C4—531no—
1570C2×C4—531no—
1571C2×C4—531no—
1572C2×C4—531no—
1573C2×C4—1061no—
1574C2×C4—1061no—
1575C2×C4—1061no—
1576C2×C4—1061no—
1577C2×C4—1061no—
1578C2×C4—1061no—
1579C2×C4—1061no—
1580C2×C4—1061no—
1581C2×C4—4241no—
1582C2×C4—4241no—
1583C2×C4—4241no—
1584C2×C4—4241no—
1585C2×C4—4241no—
1586C2×C4—4241no—
1587C2×C4—4241no—
1588C2×C4—4241no—
1589C2×C4—4241no—
1590C2×C4—4241no—
1591C2×C4—2121no—
1592C2×C4—2121no—
1593C2×C4—2122no—
1594C2×C4—2122no—
1595C2×C4C2×D4×D5311yescharacteristic
1596C2×C4C2×D4×D5311yescharacteristic
1597C2×C4C2×D4×D5311yescharacteristic
1598C2×C4C2×D4×D5311yescharacteristic
1599C2×C4C24×D5311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1061no—
1605C8—1061no—
1606C8—1061no—
1607C8—1061no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—8482no—
1621C22—1061no—
1622C22—1062no—
1623C22—1061no—
1624C22—1061no—
1625C22—4244no—
1626C22—2121no—
1627C22—2121no—
1628C22—2121no—
1629C22—2121no—
1630C22—2121no—
1631C22C22×D4×D5311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—1061no—
1643C4—1061no—
1644C4—1061no—
1645C4—1061no—
1646C4—1061no—
1647C4—1061no—
1648C4—1061no—
1649C4—2121no—
1650C4—2121no—
1651C4—2121no—
1652C4—2121no—
1653C4—2121no—
1654C4—2121no—
1655C42−1+4×D5311yescharacteristic
1656C4#1681145911yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—81no—
1660C2—81no—
1661C2—4241no—
1662C2—2122no—
1663C2—2121no—
1664C2#2028838911yescharacteristic
1665C2#2028948411yescharacteristic
1666C2#2028949011yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3339C2
socleC22×C53C23×D4
hypercenter#3339D53
hypocenterC53#62175
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3339

Complements

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

NH ≅ G/Ntype
1. #20289350C2semidirect
2. #20288662C2semidirect
3. #20287673C2semidirect
4. #20287587C2semidirect
5. #20287481C2semidirect
6. #20287376C2semidirect
7. #20287303C2semidirect
8. #20287269C2semidirect
9. #20287268C2semidirect
10. #20287241C2semidirect
11. #20287151C2semidirect
12. #20286944C2semidirect
13. #20286934C2semidirect
14. #20286910C2semidirect
15. #20286877C2semidirect
16. #20286862C2semidirect
17. #20286552C2semidirect
18. #20286170C2semidirect
19. #20286119C2semidirect
20. #20286115C2semidirect
21. #20286011C2semidirect
22. #20285972C2semidirect
23. #20285895C2semidirect
24. #20284995C2semidirect
25. #20284894C2semidirect
26. #20284760C2semidirect
27. #20284571C2semidirect
28. #20284549C2semidirect
29. #20284510C2semidirect
30. #20283865C2semidirect
31. C53×#3339C2semidirect
35. #16811350C22semidirect
38. #16811337C22semidirect
39. #16811332C22semidirect
43. #16811313C22semidirect
46. #16811308C22semidirect
54. #16811254C22semidirect
55. #16811251C22semidirect
59. #16811240C22semidirect
60. #16811240C22semidirect
66. #16811179C22semidirect
69. #16811155C22semidirect
75. #16811031C22semidirect
76. #16811030C22semidirect
77. #16811023C22semidirect
78. #16811022C22semidirect
79. #16811020C22semidirect
81. #16810981C22semidirect
82. #16810980C22semidirect
83. #16810978C22semidirect
84. #16810976C22semidirect
86. #16810967C22semidirect
87. #16810966C22semidirect
88. #16810964C22semidirect
89. #16810964C22semidirect
90. #16810960C22semidirect
91. #16810954C22semidirect
92. #16810953C22semidirect
95. #16810948C22semidirect
96. #16810944C22semidirect
97. #16810940C22semidirect
99. #16810936C22semidirect
100. #16810929C22semidirect
101. #16810929C22semidirect
102. #16810929C22semidirect
103. #16810927C22semidirect
106. #16810926C22semidirect
107. #16810925C22semidirect
108. #16810925C22semidirect
110. #16810923C22semidirect
112. #16810922C22semidirect
114. #16810917C22semidirect
115. #16810917C22semidirect
116. #16810917C22semidirect
118. #16810912C22semidirect
119. #16810912C22semidirect
120. #16810911C22semidirect
121. #16810907C22semidirect
125. #16810902C22semidirect
126. #16810901C22semidirect
127. #16810901C22semidirect
128. #16810882C22semidirect
130. #16810874C22semidirect
132. #16810868C22semidirect
134. #16810867C22semidirect
135. #16810867C22semidirect
136. #16810864C22semidirect
137. #16810852C22semidirect
138. #16810846C22semidirect
139. #16810844C22semidirect
140. #16810844C22semidirect
141. #16810838C22semidirect
143. #16810837C22semidirect
144. #16810836C22semidirect
145. #16810836C22semidirect
154. #16810750C22semidirect
155. C8×Dic106C22semidirect
158. #16810729C22semidirect
159. #16810722C22semidirect
160. #16810714C22semidirect
164. C4×#11719923C22semidirect
166. #16810703C22semidirect
167. #16810701C22semidirect
169. #16810698C22semidirect
171. #16810694C22semidirect
172. #16810681C22semidirect
173. #16810681C22semidirect
174. #16810674C22semidirect
175. #16810666C22semidirect
176. #16810664C22semidirect
177. #16810663C22semidirect
178. #16810662C22semidirect
179. #16810649C22semidirect
180. #16810649C22semidirect
181. #16810645C22semidirect
189. C53×#553C22semidirect
190. C53×#499C22semidirect
192. C53×#482C22semidirect
193. C53×#481C22semidirect
194. C53×#481C22semidirect
195. C53×#478C22semidirect
196. C53×#478C22semidirect
198. C53×#466C22semidirect
199. C4×D8×C53C22semidirect
200. C8×D4×C53C22semidirect
201. C53×#427C22semidirect
202. C2×#107×C53C22semidirect
835. #3339D53semidirect
877. #553C2×D53semidirect
914. #499C2×D53semidirect
934. #482C2×D53semidirect
937. #481C2×D53semidirect
938. #481C2×D53semidirect
954. #478C2×D53semidirect
955. #478C2×D53semidirect
980. #466C2×D53semidirect
1011. C4×D8C2×D53semidirect
1017. C8×D4C2×D53semidirect
1025. #427C2×D53semidirect
1026. C2×#107C2×D53semidirect
1036. C53#62175semidirect

Maximal subgroups

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

subgroupindex
#202893502
#202886622
#202876732
#202875872
#202874812
#202873762
#202873032
#202872692
#202872682
#202872412
#202871512
#202869442
#202869342
#202869102
#202868772
#202868622
#202865522
#202861702
#202861192
#202861152
#202860112
#202859722
#202858952
#202849952
#202848942
#202847602
#202845712
#202845492
#202845102
#202838652
C53×#33392
#6217553