Finite Group Databasebeta

← #28281299

Subgroups — #28281299

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#20289364C211yesmaximal, characteristic, complemented
2#20288655C211yesmaximal, characteristic, complemented
3#20287673C211yesmaximal, characteristic, complemented
4#20287585C211yesmaximal, characteristic, complemented
5#20287481C211yesmaximal, characteristic, complemented
6#20287378C211yesmaximal, characteristic, complemented
7#20287306C211yesmaximal, characteristic, complemented
8#20287282C211yesmaximal, characteristic, complemented
9#20287271C211yesmaximal, characteristic, complemented
10#20287246C211yesmaximal, characteristic, complemented
11#20287156C211yesmaximal, characteristic, complemented
12#20287114C211yesmaximal, characteristic, complemented
13#20286942C211yesmaximal, characteristic, complemented
14#20286927C211yesmaximal, characteristic, complemented
15#20286913C211yesmaximal, characteristic, complemented
16#20286872C211yesmaximal, characteristic, complemented
17#20286857C211yesmaximal, characteristic, complemented
18#20286547C211yesmaximal, characteristic, complemented
19#20286175C211yesmaximal, characteristic, complemented
20#20286125C211yesmaximal, characteristic, complemented
21#20286116C211yesmaximal, characteristic, complemented
22#20286010C211yesmaximal, characteristic, complemented
23#20285975C211yesmaximal, characteristic, complemented
24#20285894C211yesmaximal, characteristic, complemented
25#20284997C211yesmaximal, characteristic, complemented
26#20284906C211yesmaximal, characteristic, complemented
27#20284762C211yesmaximal, characteristic, complemented
28#20284561C211yesmaximal, characteristic, complemented
29#20284541C211yesmaximal, characteristic, complemented
30#20283860C211yesmaximal, characteristic, complemented
31C53×#3077C211yesmaximal, characteristic, complemented
32#16811374—21no—
33#16811369—21no—
34#16811356C2211yescharacteristic
35#16811350C2211yescharacteristic, complemented
36#16811345—21no—
37#16811341C2211yescharacteristic
38#16811336C2211yescharacteristic, complemented
39#16811332C2211yescharacteristic
40#16811329C2211yescharacteristic, complemented
41#16811326C2211yescharacteristic, complemented
42#16811323C2211yescharacteristic
43#16811322—21no—
44#16811317C2211yescharacteristic
45#16811314—21no—
46#16811312C2211yescharacteristic, complemented
47#16811311C2211yescharacteristic, complemented
48#16811308C2211yescharacteristic
49#16811302—21no—
50#16811299—21no—
51#16811274C2211yescharacteristic
52#16811268C2211yescharacteristic
53#16811267C2211yescharacteristic
54#16811263—21no—
55D4×C22⋊D53C2211yescharacteristic
56#16811250C2211yescharacteristic, complemented
57#16811250C2211yescharacteristic, complemented
58#16811247C2211yescharacteristic, complemented
59#16811247C2211yescharacteristic, complemented
60#16811245—21no—
61#16811243—21no—
62#16811238C2211yescharacteristic
63#16811231—21no—
64#16811224C2211yescharacteristic
65#16811219—21no—
66#16811215—21no—
67#16811206—21no—
68#16811157C2211yescharacteristic
69#16811157C2211yescharacteristic
70#16811157C2211yescharacteristic, complemented
71#16811134—21no—
72C2×#13133200—21no—
73#16811102C2211yescharacteristic
74#16811095C2211yescharacteristic
75#16811031C2211yescharacteristic, complemented
76#16811030C2211yescharacteristic, complemented
77#16811024C2211yescharacteristic, complemented
78#16811022C2211yescharacteristic, complemented
79#16811022C2211yescharacteristic, complemented
80#16811020C2211yescharacteristic, complemented
81#16810986C2211yescharacteristic
82#16810981C2211yescharacteristic, complemented
83#16810980C2211yescharacteristic, complemented
84#16810980C2211yescharacteristic, complemented
85#16810976C2211yescharacteristic, complemented
86#16810968C2211yescharacteristic
87#16810967C2211yescharacteristic, complemented
88#16810966C2211yescharacteristic, complemented
89#16810964C2211yescharacteristic, complemented
90#16810964C2211yescharacteristic, complemented
91#16810958C2211yescharacteristic, complemented
92#16810955C2211yescharacteristic, complemented
93#16810955C2211yescharacteristic, complemented
94#16810950C2211yescharacteristic, complemented
95#16810950C2211yescharacteristic, complemented
96#16810947C2211yescharacteristic
97#16810947C2211yescharacteristic
98#16810945C2211yescharacteristic
99#16810945C2211yescharacteristic, complemented
100#16810943C2211yescharacteristic, complemented
101#16810941C2211yescharacteristic, complemented
102#16810940C2211yescharacteristic
103#16810940C2211yescharacteristic, complemented
104#16810938C2211yescharacteristic, complemented
105#16810933C2211yescharacteristic, complemented
106#16810931C2211yescharacteristic, complemented
107#16810931C2211yescharacteristic, complemented
108#16810929C2211yescharacteristic, complemented
109#16810925C2211yescharacteristic
110#16810925C2211yescharacteristic
111#16810924C2211yescharacteristic, complemented
112#16810924C2211yescharacteristic, complemented
113#16810923C2211yescharacteristic
114#16810923C2211yescharacteristic, complemented
115#16810922C2211yescharacteristic, complemented
116#16810922C2211yescharacteristic, complemented
117#16810917C2211yescharacteristic, complemented
118#16810917C2211yescharacteristic, complemented
119#16810915C2211yescharacteristic, complemented
120#16810912C2211yescharacteristic, complemented
121#16810910C2211yescharacteristic, complemented
122#16810905C2211yescharacteristic, complemented
123#16810902C2211yescharacteristic, complemented
124#16810901C2211yescharacteristic
125#16810901C2211yescharacteristic
126#16810900C2211yescharacteristic, complemented
127#16810881C2211yescharacteristic, complemented
128#16810877C2211yescharacteristic, complemented
129#16810876C2211yescharacteristic
130#16810870C2211yescharacteristic, complemented
131#16810869C2211yescharacteristic
132#16810869C2211yescharacteristic, complemented
133#16810868C2211yescharacteristic
134#16810868C2211yescharacteristic, complemented
135#16810865C2211yescharacteristic, complemented
136#16810858C2211yescharacteristic
137#16810858C2211yescharacteristic, complemented
138#16810853C2211yescharacteristic, complemented
139#16810846C2211yescharacteristic, complemented
140#16810846C2211yescharacteristic, complemented
141#16810844C2211yescharacteristic, complemented
142#16810839C2211yescharacteristic, complemented
143#16810839C2211yescharacteristic, complemented
144#16810838C2211yescharacteristic
145#16810838C2211yescharacteristic, complemented
146#16810837C2211yescharacteristic, complemented
147#16810822C2211yescharacteristic
148#16810817C2211yescharacteristic
149#16810786C2211yescharacteristic
150#16810775C2211yescharacteristic
151#16810774C2211yescharacteristic
152#16810769C2211yescharacteristic
153#16810758C2211yescharacteristic
154#16810757C2211yescharacteristic
155#16810750C2211yescharacteristic, complemented
156#16810747C2211yescharacteristic, complemented
157#16810732C2211yescharacteristic
158#16810732C2211yescharacteristic
159#16810729C2211yescharacteristic, complemented
160#16810722C2211yescharacteristic, complemented
161#16810714C2211yescharacteristic
162#16810714C2211yescharacteristic
163#16810710C2211yescharacteristic, complemented
164C4×#11719923C2211yescharacteristic
165C4×#11719923C2211yescharacteristic, complemented
166#16810705C2211yescharacteristic, complemented
167C4×#11719922C2211yescharacteristic
168C4×#11719922C2211yescharacteristic, complemented
169#16810700C2211yescharacteristic, complemented
170#16810699C2211yescharacteristic
171#16810699C2211yescharacteristic, complemented
172#16810692C2211yescharacteristic
173#16810692C2211yescharacteristic, complemented
174#16810688C2211yescharacteristic, complemented
175#16810683C2211yescharacteristic, complemented
176#16810683C2211yescharacteristic, complemented
177#16810676C2211yescharacteristic, complemented
178#16810664C2211yescharacteristic, complemented
179#16810662C2211yescharacteristic, complemented
180#16810658C2211yescharacteristic, complemented
181#107×D53C2211yescharacteristic, complemented
182#16810648C2211yescharacteristic, complemented
183#16810648C2211yescharacteristic, complemented
184#16810626C2211yescharacteristic
185#16810621C2211yescharacteristic
186#16810616C2211yescharacteristic
187#102×D53C2211yescharacteristic
188C53×#533C2211yescharacteristic, complemented
189C2×C4×D4×C53C2211yescharacteristic
190C53×#478C2211yescharacteristic
191C53×#478C2211yescharacteristic
192C53×#478C2211yescharacteristic, complemented
193C53×#478C2211yescharacteristic, complemented
194C53×#476C2211yescharacteristic
195C53×#476C2211yescharacteristic, complemented
196C53×#474C2211yescharacteristic
197C53×#474C2211yescharacteristic, complemented
198C53×#428C2211yescharacteristic, complemented
199C53×#428C2211yescharacteristic, complemented
200C53×#423C2211yescharacteristic, complemented
201C53×#418C2211yescharacteristic
202C53×#418C2211yescharacteristic
203C2×#11719945—21no—
204C2×#11719947C2311yescharacteristic
205C22×C22⋊D53—21no—
206C2×D4×D53C2311yescharacteristic
207C2×Dic212C2311yescharacteristic
208C2×#11719913C2311yescharacteristic
209C2×#11719913C2311yescharacteristic
210C2×#11719923C2311yescharacteristic
211C2×#11719923C2311yescharacteristic
212C2×D424C2311yescharacteristic
213C2×#11719922C2311yescharacteristic
214C2×#11719922C2311yescharacteristic
215C2×#11719912C2311yescharacteristic
216C2×#11719912C2311yescharacteristic
217C2×C8×D53C2311yescharacteristic
218C2×C8×D53C2311yescharacteristic
219#13133216—21no—
220#13133216C2311yescharacteristic
221#13133216C2311yescharacteristic
222#13133216C2311yescharacteristic
223#13133215—21no—
224#13133215—21no—
225#13133213C2311yescharacteristic
226#13133212—21no—
227#13133212—21no—
228#13133212—21no—
229#13133212—21no—
230#13133212—21no—
231#13133211—21no—
232#13133211—21no—
233#13133211—21no—
234#13133211—21no—
235#13133211D411yescharacteristic
236#13133211D411yescharacteristic
237#13133210—21no—
238#13133210—21no—
239#13133210—21no—
240#13133210—21no—
241#13133209—21no—
242#13133209D411yescharacteristic
243#13133209C2311yescharacteristic
244#13133209C2311yescharacteristic
245#13133208—21no—
246#13133208C2311yescharacteristic
247#13133208C2311yescharacteristic
248#13133208C2311yescharacteristic
249#13133207—21no—
250#13133207—21no—
251#13133207—21no—
252#13133207—21no—
253#13133207—21no—
254#13133206—21no—
255#13133206—21no—
256#13133205—21no—
257#13133205D411yescharacteristic
258#13133205C2311yescharacteristic
259#13133205C2311yescharacteristic
260#13133204C2311yescharacteristic
261#13133203—21no—
262#13133203—21no—
263#13133203—21no—
264#13133203—21no—
265#13133202—21no—
266#13133202—21no—
267#13133202—21no—
268#13133202—21no—
269#13133202—21no—
270#13133201—21no—
271#13133200—21no—
272#13133200—21no—
273#13133200—21no—
274#13133200—21no—
275#13133200—21no—
276#13133200—21no—
277#13133200—21no—
278#13133200—21no—
279#13133200D411yescharacteristic
280#13133200D411yescharacteristic
281#13133199—21no—
282#13133199—21no—
283#13133199—21no—
284#13133199—21no—
285#13133198—21no—
286#13133197—21no—
287#13133197C2311yescharacteristic
288#13133197C2311yescharacteristic
289#13133197C2311yescharacteristic
290#13133196—21no—
291#13133196—21no—
292#13133196D411yescharacteristic
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#13133193—21no—
303#13133193—21no—
304#13133193—21no—
305#13133193—21no—
306#13133192—21no—
307#13133192C2311yescharacteristic
308#13133192C2311yescharacteristic
309#13133192C2311yescharacteristic
310#13133191—21no—
311#13133191—21no—
312#13133191D411yescharacteristic
313#13133191C2311yescharacteristic
314#13133191C2311yescharacteristic
315#13133190—21no—
316#13133190—21no—
317#13133190—21no—
318#13133190—21no—
319#13133189—21no—
320#13133189—21no—
321#13133188C2311yescharacteristic
322#13133188C2311yescharacteristic
323#13133187—21no—
324#13133186—21no—
325#13133186—21no—
326#13133185—21no—
327C4×Dic106—21no—
328C4×Dic106C2311yescharacteristic
329C4×Dic106C2311yescharacteristic
330C4×Dic106C2311yescharacteristic
331#13133182—21no—
332#13133182C2311yescharacteristic
333#13133182C2311yescharacteristic
334#13133182C2311yescharacteristic
335C4×D212—21no—
336C4×D212C2311yescharacteristic
337C4×D212C2311yescharacteristic
338C4×D212C2311yescharacteristic
339D4×Dic53C2311yescharacteristic
340D4×Dic53C2311yescharacteristic
341#13133179—21no—
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⋊D53—21no—
351C4×C22⋊D53C2311yescharacteristic
352C4×C22⋊D53C2311yescharacteristic
353#13133177—21no—
354#13133177—21no—
355#13133176—21no—
356#13133175—21no—
357#13133175C2311yescharacteristic
358#13133175C2311yescharacteristic
359#13133175C2311yescharacteristic
360#13133174—21no—
361#13133174—21no—
362#13133174—21no—
363#13133174—21no—
364#13133174C2311yescharacteristic
365#13133174C2311yescharacteristic
366#13133173—21no—
367C2×#11719919—21no—
368C2×#11719919—21no—
369C4⋊C4×D53—21no—
370C4⋊C4×D53C2311yescharacteristic
371C4⋊C4×D53C2311yescharacteristic
372C4⋊C4×D53C2311yescharacteristic
373C2×C22⋊Dic53—21no—
374C2×#11719921—21no—
375C2×#11719921—21no—
376C22⋊C4×D53—21no—
377#13133151C2311yescharacteristic
378#13133151C2311yescharacteristic
379#13133150C2311yescharacteristic
380#13133150C2311yescharacteristic
381#13133150C2311yescharacteristic
382#13133150C2311yescharacteristic
383#13133150C2311yescharacteristic
384#13133150C2311yescharacteristic
385#13133149C2311yescharacteristic
386#13133149C2311yescharacteristic
387#13133148C2311yescharacteristic
388#13133148C2311yescharacteristic
389#13133148C2311yescharacteristic
390#13133148C2311yescharacteristic
391#13133148C2311yescharacteristic
392#13133148C2311yescharacteristic
393C4⋊#88322C2311yescharacteristic
394C4⋊#88322C2311yescharacteristic
395#13133146C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133142C2311yescharacteristic
400#13133142C2311yescharacteristic
401#13133142C2311yescharacteristic
402#13133142C2311yescharacteristic
403#13133140C2311yescharacteristic
404#13133140C2311yescharacteristic
405#13133140C2311yescharacteristic
406#13133140C2311yescharacteristic
407#13133140C2311yescharacteristic
408#13133140C2311yescharacteristic
409#13133139C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133138C2311yescharacteristic
414#13133138C2311yescharacteristic
415#13133138C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133137C2311yescharacteristic
418#13133137C2311yescharacteristic
419#13133137C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423C22⋊#88322C2311yescharacteristic
424C22⋊#88322C2311yescharacteristic
425#13133129C2311yescharacteristic
426#13133129C2311yescharacteristic
427#13133129C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133127C2311yescharacteristic
430#13133127C2311yescharacteristic
431C4×#88322C2311yescharacteristic
432C4×#88322C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C22×D4×C53C2311yescharacteristic
436C23×C4×C53—21no—
437C2×M16×C53C2311yescharacteristic
438C2×M16×C53C2311yescharacteristic
439C4⋊Q8×C53C2311yescharacteristic
440C4⋊Q8×C53C2311yescharacteristic
441#125×C53C2311yescharacteristic
442#125×C53C2311yescharacteristic
443C22⋊Q8×C53—21no—
444C22⋊Q8×C53—21no—
445C4×Q8×C53—21no—
446C4×Q8×C53—21no—
447C4×D4×C53—21no—
448C4×D4×C53—21no—
449C4×D4×C53C2311yescharacteristic
450C4×D4×C53C2311yescharacteristic
451C4×D4×C53C2311yescharacteristic
452C4×D4×C53C2311yescharacteristic
453#117×C53C2311yescharacteristic
454#117×C53C2311yescharacteristic
455C2×C4⋊C4×C53C2311yescharacteristic
456C2×C22⋊C4×C53—21no—
457C2×C42×C53C2311yescharacteristic
458#107×C53C2311yescharacteristic
459#107×C53C2311yescharacteristic
460#107×C53C2311yescharacteristic
461#107×C53C2311yescharacteristic
462#106×C53C2311yescharacteristic
463#106×C53C2311yescharacteristic
464#106×C53C2311yescharacteristic
465#106×C53C2311yescharacteristic
466C4⋊C8×C53C2311yescharacteristic
467C4⋊C8×C53C2311yescharacteristic
468C4⋊C8×C53C2311yescharacteristic
469C4⋊C8×C53C2311yescharacteristic
470#102×C53C2311yescharacteristic
471#102×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477#102×C53C2311yescharacteristic
478C24×C53—21no—
479C23×D53—21no—
480C2×Q8×C53—21no—
481C2×Q8×C53—21no—
482C2×D4×C53—22no—
483C2×D4×C53—21no—
484C2×D4×C53—41no—
485C2×D4×C53C2411yescharacteristic
486C2×D4×C53C2411yescharacteristic
487C22×C4×C53—21no—
488C22×C4×C53—21no—
489C22×C4×C53—21no—
490C22×C4×C53—21no—
491C22×C4×C53—21no—
492C22×C4×C53—82no—
493C22×C4×C53C2×D411yescharacteristic
494C22×C4×C53C2×D411yescharacteristic
495C22×C4×C53C2411yescharacteristic
496C2×C22⋊D53—21no—
497C2×C22⋊D53—21no—
498C2×C22⋊D53—21no—
499C2×C22⋊D53—21no—
500C2×C22⋊D53—21no—
501C2×C22⋊D53—21no—
502C2×C22⋊D53—21no—
503C2×C22⋊D53—21no—
504C2×C22⋊D53—82no—
505C2×C22⋊D53C2×D411yescharacteristic
506C2×C22⋊D53C2×D411yescharacteristic
507C22×Dic53—21no—
508C22×Dic53—21no—
509C22×Dic53—21no—
510#11719947—22no—
511#11719947—41no—
512D4×D53—22no—
513D4×D53—41no—
514#11719945—82no—
515C2×D212—21no—
516C2×D212—21no—
517C2×D212—21no—
518C2×D212C2×D411yescharacteristic
519C2×D212C2411yescharacteristic
520C2×D212C2411yescharacteristic
521C2×C4×D53—21no—
522C2×C4×D53—21no—
523C2×C4×D53—21no—
524C2×C4×D53—21no—
525C2×C4×D53—21no—
526C2×C4×D53—21no—
527C2×C4×D53—21no—
528C2×C4×D53—21no—
529C2×C4×D53C2411yescharacteristic
530C2×C4×D53C2411yescharacteristic
531C2×Dic106—21no—
532C2×Dic106—21no—
533C2×Dic106—21no—
534C2×Dic106C2×D411yescharacteristic
535C2×Dic106C2411yescharacteristic
536C2×Dic106C2411yescharacteristic
537M16×C53—41no—
538M16×C53—41no—
539C2×C8×C53C2411yescharacteristic
540C2×C8×C53C2411yescharacteristic
541C2×C8×C53C2411yescharacteristic
542C2×C8×C53C2411yescharacteristic
543C4⋊C4×C53—21no—
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×C53C2411yescharacteristic
551C4⋊C4×C53C2411yescharacteristic
552C4⋊C4×C53C2411yescharacteristic
553C4⋊C4×C53C2411yescharacteristic
554C4⋊C4×C53C2411yescharacteristic
555C4⋊C4×C53C2411yescharacteristic
556C22⋊C4×C53—21no—
557C22⋊C4×C53—21no—
558C22⋊C4×C53—21no—
559C22⋊C4×C53—21no—
560C22⋊C4×C53—21no—
561C22⋊C4×C53—21no—
562C42×C53—21no—
563C42×C53—21no—
564C42×C53C2×D411yescharacteristic
565C42×C53C2×D411yescharacteristic
566C42×C53C2411yescharacteristic
567C42×C53C2411yescharacteristic
568C22⋊Dic53—21no—
569C22⋊Dic53—21no—
570C22⋊Dic53—21no—
571C22⋊Dic53—21no—
572C22⋊Dic53—21no—
573C22⋊Dic53—21no—
574C22⋊Dic53—21no—
575C22⋊Dic53—21no—
576C22⋊Dic53C2×D411yescharacteristic
577C22⋊Dic53C2×D411yescharacteristic
578#11719923—22no—
579#11719923—41no—
580#11719922—22no—
581#11719922—41no—
582#11719921—21no—
583#11719921—21no—
584#11719921—21no—
585#11719921—21no—
586#11719921—21no—
587#11719921—21no—
588#11719921—21no—
589#11719921—21no—
590#11719921—21no—
591#11719921—21no—
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#11719921C2×D411yescharacteristic
603#11719921C2×D411yescharacteristic
604#11719921C2×D411yescharacteristic
605#11719921C2×D411yescharacteristic
606#11719921C2×D411yescharacteristic
607#11719921C2×D411yescharacteristic
608#11719921C2×D411yescharacteristic
609#11719921C2×D411yescharacteristic
610C4⋊Dic53—21no—
611C4⋊Dic53—21no—
612C4⋊Dic53—21no—
613C4⋊Dic53—21no—
614C4⋊Dic53—21no—
615C4⋊Dic53—21no—
616C4⋊Dic53C2×D411yescharacteristic
617C4⋊Dic53C2×D411yescharacteristic
618C4⋊Dic53C2411yescharacteristic
619C4⋊Dic53C2411yescharacteristic
620C4⋊Dic53C2411yescharacteristic
621C4⋊Dic53C2411yescharacteristic
622#11719919—21no—
623#11719919—21no—
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#11719919C2×D411yescharacteristic
643#11719919C2×D411yescharacteristic
644#11719919C2×D411yescharacteristic
645#11719919C2×D411yescharacteristic
646#11719919C2×D411yescharacteristic
647#11719919C2×D411yescharacteristic
648#11719919C2×D411yescharacteristic
649#11719919C2×D411yescharacteristic
650C4×Dic53—21no—
651C4×Dic53—21no—
652C4×Dic53—21no—
653C4×Dic53—21no—
654C4×Dic53—21no—
655C4×Dic53—21no—
656C4×Dic53—21no—
657C4×Dic53—21no—
658C4×Dic53C2411yescharacteristic
659C4×Dic53C2411yescharacteristic
660C2×#88322C2411yescharacteristic
661C2×#88322C2411yescharacteristic
662C2×#88322C2411yescharacteristic
663C2×#88322C2411yescharacteristic
664Dic212—41no—
665D424—41no—
666#11719913—41no—
667#11719913—41no—
668#11719912—41no—
669#11719912—41no—
670C8×D53—41no—
671C8×D53—41no—
672C23×C53—21no—
673C23×C53—21no—
674C23×C53—42no—
675C23×C53—42no—
676C23×C53—81no—
677C23×C53C22×D411yescharacteristic
678C22×D53—21no—
679C22×D53—21no—
680C22×D53—42no—
681C22×D53—81no—
682C22×D53—81no—
683C22×D53C22×D411yescharacteristic
684C22×D53C22×D411yescharacteristic
685Q8×C53—81no—
686Q8×C53—81no—
687D4×C53—21no—
688D4×C53—21no—
689D4×C53—21no—
690D4×C53—42no—
691D4×C532−1+412yes—
692C2×C4×C53—21no—
693C2×C4×C53—21no—
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—41no—
701C2×C4×C53—41no—
702C2×C4×C53—42no—
703C2×C4×C53—81no—
704C2×C4×C53—81no—
705C2×C4×C53—81no—
706C2×C4×C53—81no—
707C2×C4×C53C22×D411yescharacteristic
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—42no—
718C22⋊D53—81no—
719C22⋊D53—81no—
720C22⋊D53—81no—
721C22⋊D53—81no—
722C22⋊D53—81no—
723C2×Dic53—21no—
724C2×Dic53—21no—
725C2×Dic53—21no—
726C2×Dic53—21no—
727C2×Dic53—21no—
728C2×Dic53—21no—
729C2×Dic53—42no—
730C2×Dic53—81no—
731C2×Dic53—81no—
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—21no—
742D212—41no—
743D212—81no—
744D212—81no—
745D212—81no—
746C4×D53—21no—
747C4×D53—21no—
748C4×D53—21no—
749C4×D53—21no—
750C4×D53—81no—
751C4×D53—81no—
752C4×D53—81no—
753C4×D53—81no—
754C4×D53—81no—
755C4×D53—81no—
756C4×D53—81no—
757C4×D53—81no—
758Dic106—21no—
759Dic106—21no—
760Dic106—21no—
761Dic106—21no—
762Dic106—41no—
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—22no—
778C22×C53—21no—
779C22×C53—41no—
780C22×C53—41no—
781C22×C53—41no—
782C22×C53—41no—
783C22×C53—41no—
784C22×C53—84no—
785C22×C53C23×D411yescharacteristic
786C2×D53—21no—
787C2×D53—21no—
788C2×D53—21no—
789C2×D53—21no—
790C2×D53—21no—
791C2×D53—21no—
792C2×D53—41no—
793C2×D53—41no—
794C2×D53—41no—
795C2×D53—41no—
796C2×D53—41no—
797C2×D53—41no—
798C2×D53—162no—
799C4×C53—21no—
800C4×C53—21no—
801C4×C53—21no—
802C4×C53—21no—
803C4×C53—21no—
804C4×C53—41no—
805C4×C53—41no—
806C4×C53—41no—
807C4×C53—41no—
808C4×C53—41no—
809C4×C53—41no—
810C4×C53C2×2−1+411yescharacteristic
811C4×C53#58511yescharacteristic
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#3339—531no—
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#3077D5311yescharacteristic, complemented
854#2993—531no—
855C2×C53—42no—
856C2×C53—41no—
857C2×C53—81no—
858C2×C53#348911yescharacteristic
859C2×C53#358411yescharacteristic
860C2×C53#358511yescharacteristic
861D53—41no—
862D53—41no—
863D53—81no—
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—531no—
876#553—531no—
877#553—1061no—
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#533C2×D5311yescharacteristic, complemented
902#529—531no—
903#529—531no—
904#529—531no—
905#525—1061no—
906C2×#123—1061no—
907#520—531no—
908#518—531no—
909C2×C4×D4C2×D5311yescharacteristic
910#501—531no—
911#501—531no—
912#499—531no—
913#499—531no—
914#499—531no—
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#482—531no—
934#482—531no—
935#481—531no—
936#481—531no—
937#481—531no—
938#481—531no—
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#478C2×D5311yescharacteristic
953#478C2×D5311yescharacteristic
954#478C2×D5311yescharacteristic, complemented
955#478C2×D5311yescharacteristic, complemented
956#477—531no—
957#477—531no—
958#477—531no—
959#476—531no—
960#476—531no—
961#476C2×D5311yescharacteristic
962#476C2×D5311yescharacteristic, complemented
963#475—531no—
964#474—531no—
965#474—531no—
966#474—531no—
967#474—531no—
968#474C2×D5311yescharacteristic
969#474C2×D5311yescharacteristic, complemented
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#466—531no—
980#466—531no—
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×D8—531no—
1012#436—531no—
1013#436—531no—
1014#436—531no—
1015#435—531no—
1016#435—531no—
1017C8×D4—531no—
1018#433—531no—
1019#433—531no—
1020#431—531no—
1021#428—531no—
1022#428—531no—
1023#428C2×D5311yescharacteristic, complemented
1024#428C2×D5311yescharacteristic, complemented
1025#427—531no—
1026C2×#107—531no—
1027#424—531no—
1028#424—531no—
1029#423C2×D5311yescharacteristic, complemented
1030#418—531no—
1031#418C2×D5311yescharacteristic
1032#418C2×D5311yescharacteristic
1033#417—531no—
1034#416—531no—
1035C2×#102—531no—
1036C53#6217511yescharacteristic, complemented, Sylow
1037C2×#41—531no—
1038C2×#41—1061no—
1039C22×D4—531no—
1040C22×D4—1061no—
1041C22×D4C22×D5311yescharacteristic
1042C23×C4—21no—
1043C2×Q16—531no—
1044C2×SD16—531no—
1045C2×SD16—531no—
1046C2×SD16—531no—
1047C2×SD16—531no—
1048C2×D8—531no—
1049C2×D8—531no—
1050C2×D8—531no—
1051C2×M16—531no—
1052C2×M16—531no—
1053C2×M16C22×D5311yescharacteristic
1054C2×M16C22×D5311yescharacteristic
1055C22×C8—531no—
1056C22×C8—531no—
1057C4⋊Q8—531no—
1058C4⋊Q8—531no—
1059C4⋊Q8—531no—
1060C4⋊Q8—1061no—
1061C4⋊Q8—1061no—
1062C4⋊Q8—1061no—
1063C4⋊Q8C22×D5311yescharacteristic
1064C4⋊Q8C22×D5311yescharacteristic
1065#127—531no—
1066#126—531no—
1067#126—531no—
1068#126—1061no—
1069#126—1061no—
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—531no—
1108#123—531no—
1109#123—1061no—
1110#123—1061no—
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—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—531no—
1131C22⋊Q8—531no—
1132C22⋊Q8—531no—
1133C22⋊Q8—531no—
1134C22⋊Q8—531no—
1135C22⋊Q8—531no—
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—531no—
1151#121—531no—
1152#121—531no—
1153#121—531no—
1154#121—531no—
1155#121—531no—
1156#121—531no—
1157#121—531no—
1158#121—1061no—
1159#121—1061no—
1160#121—1061no—
1161#121—1061no—
1162#121—1061no—
1163#121—1061no—
1164#121—1061no—
1165#121—1061no—
1166#121—1061no—
1167#120—1061no—
1168#120—1061no—
1169#120—1061no—
1170#120—1061no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—531no—
1174C4×Q8—531no—
1175C4×Q8—531no—
1176C4×Q8—531no—
1177C4×Q8—531no—
1178C4×Q8—531no—
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—1061no—
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×D4C22×D5311yescharacteristic
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—531no—
1224C2×C4⋊C4—1061no—
1225C2×C4⋊C4—1061no—
1226C2×C4⋊C4—1061no—
1227C2×C4⋊C4C22×D5311yescharacteristic
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—1061no—
1230C2×C22⋊C4—1061no—
1231C2×C22⋊C4—1061no—
1232C2×C22⋊C4—1061no—
1233C2×C42C22×D5311yescharacteristic
1234#107—531no—
1235#107—531no—
1236#107—531no—
1237#107—531no—
1238#107—531no—
1239#107—531no—
1240#107—531no—
1241#107—531no—
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⋊C8C22×D5311yescharacteristic
1265C4⋊C8C22×D5311yescharacteristic
1266C4⋊C8C22×D5311yescharacteristic
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#102C22×D5311yescharacteristic
1293#102C22×D5311yescharacteristic
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⋊C8—531no—
1305C22⋊C8—531no—
1306#97—531no—
1307#97—531no—
1308C4×C8—531no—
1309C4×C8—531no—
1310C4×C8—531no—
1311C4×C8—531no—
1312C24—21no—
1313C24—1061no—
1314#41—1062no—
1315#41—4242no—
1316#41—2121no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—531no—
1320C2×Q8—531no—
1321C2×Q8—531no—
1322C2×Q8—1061no—
1323C2×Q8—1061no—
1324C2×Q8—1061no—
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—41no—
1328C2×D4—531no—
1329C2×D4—531no—
1330C2×D4—531no—
1331C2×D4—531no—
1332C2×D4—531no—
1333C2×D4—1061no—
1334C2×D4—1061no—
1335C2×D4—1061no—
1336C2×D4—1061no—
1337C2×D4—1061no—
1338C2×D4—1061no—
1339C2×D4—1062no—
1340C2×D4—1061no—
1341C2×D4—1061no—
1342C2×D4—1061no—
1343C2×D4—1061no—
1344C2×D4—1061no—
1345C2×D4—4242no—
1346C2×D4—2121no—
1347C2×D4C23×D5311yescharacteristic
1348C2×D4C23×D5311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—82no—
1355C22×C4—531no—
1356C22×C4—531no—
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×C4D4×D5311yescharacteristic
1369C22×C4D4×D5311yescharacteristic
1370C22×C4C23×D5311yescharacteristic
1371Q16—2121no—
1372SD16—1062no—
1373SD16—2121no—
1374SD16—2121no—
1375SD16—2121no—
1376D8—1062no—
1377D8—2121no—
1378D8—2121no—
1379M16—41no—
1380M16—41no—
1381M16—2121no—
1382M16—2121no—
1383C2×C8—531no—
1384C2×C8—531no—
1385C2×C8—531no—
1386C2×C8—531no—
1387C2×C8—2121no—
1388C2×C8—2121no—
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—21no—
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—531no—
1413C4⋊C4—531no—
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⋊C4—1061no—
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—531no—
1453C22⋊C4—531no—
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⋊C4—1061no—
1489C22⋊C4—1061no—
1490C42—21no—
1491C42—21no—
1492C42—531no—
1493C42—531no—
1494C42—1061no—
1495C42—1061no—
1496C42—1061no—
1497C42—1061no—
1498C42—1061no—
1499C42—1061no—
1500C42—1061no—
1501C42—1061no—
1502C42D4×D5311yescharacteristic
1503C42D4×D5311yescharacteristic
1504C42C23×D5311yescharacteristic
1505C42C23×D5311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—42no—
1509C23—42no—
1510C23—81no—
1511C23—531no—
1512C23—531no—
1513C23—1061no—
1514C23—1061no—
1515C23—4241no—
1516C23—4241no—
1517C23—2122no—
1518C23C2×D4×D5311yescharacteristic
1519Q8—81no—
1520Q8—81no—
1521Q8—1061no—
1522Q8—1061no—
1523Q8—1061no—
1524Q8—1061no—
1525Q8—4241no—
1526Q8—4241no—
1527Q8—4241no—
1528Q8—2121no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—42no—
1533D4—1061no—
1534D4—1061no—
1535D4—1061no—
1536D4—1061no—
1537D4—4241no—
1538D4—4241no—
1539D4—4241no—
1540D4—4241no—
1541D4—4241no—
1542D4—4241no—
1543D4—4241no—
1544D4—4241no—
1545D4—2121no—
1546D4—2121no—
1547D4—2121no—
1548D4—2122no—
1549D4—2122no—
1550D4—2122no—
1551D4#1313326512yes—
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—41no—
1561C2×C4—41no—
1562C2×C4—42no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—81no—
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—1061no—
1582C2×C4—1061no—
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—4241no—
1592C2×C4—4241no—
1593C2×C4—2122no—
1594C2×C4C2×D4×D5311yescharacteristic
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—22no—
1610C22—21no—
1611C22—21no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—84no—
1618C22—8482no—
1619C22—1061no—
1620C22—1061no—
1621C22—1061no—
1622C22—1061no—
1623C22—1061no—
1624C22—1061no—
1625C22—2121no—
1626C22—2121no—
1627C22—2121no—
1628C22—2121no—
1629C22—2121no—
1630C22—2121no—
1631C22C22×D4×D5311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—1061no—
1644C4—1061no—
1645C4—1061no—
1646C4—1061no—
1647C4—1061no—
1648C4—1061no—
1649C4—2121no—
1650C4—2121no—
1651C4—2121no—
1652C4—2121no—
1653C4—2121no—
1654C4—2121no—
1655C4C2×#1313326511yescharacteristic
1656C4#1681145911yescharacteristic
1657C2—41no—
1658C2—42no—
1659C2—81no—
1660C2—4241no—
1661C2—4241no—
1662C2—2121no—
1663C2—2121no—
1664C2#2028839111yescharacteristic
1665C2#2028948811yescharacteristic
1666C2#2028949111yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3077C2
socleC22×C53C23×D4
hypercenter#3077D53
hypocenterC53#62175
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3077

Complements

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

NH ≅ G/Ntype
1. #20289364C2semidirect
2. #20288655C2semidirect
3. #20287673C2semidirect
4. #20287585C2semidirect
5. #20287481C2semidirect
6. #20287378C2semidirect
7. #20287306C2semidirect
8. #20287282C2semidirect
9. #20287271C2semidirect
10. #20287246C2semidirect
11. #20287156C2semidirect
12. #20287114C2semidirect
13. #20286942C2semidirect
14. #20286927C2semidirect
15. #20286913C2semidirect
16. #20286872C2semidirect
17. #20286857C2semidirect
18. #20286547C2semidirect
19. #20286175C2semidirect
20. #20286125C2semidirect
21. #20286116C2semidirect
22. #20286010C2semidirect
23. #20285975C2semidirect
24. #20285894C2semidirect
25. #20284997C2semidirect
26. #20284906C2semidirect
27. #20284762C2semidirect
28. #20284561C2semidirect
29. #20284541C2semidirect
30. #20283860C2semidirect
31. C53×#3077C2semidirect
35. #16811350C22semidirect
38. #16811336C22semidirect
40. #16811329C22semidirect
41. #16811326C22semidirect
46. #16811312C22semidirect
47. #16811311C22semidirect
56. #16811250C22semidirect
57. #16811250C22semidirect
58. #16811247C22semidirect
59. #16811247C22semidirect
70. #16811157C22semidirect
75. #16811031C22semidirect
76. #16811030C22semidirect
77. #16811024C22semidirect
78. #16811022C22semidirect
79. #16811022C22semidirect
80. #16811020C22semidirect
82. #16810981C22semidirect
83. #16810980C22semidirect
84. #16810980C22semidirect
85. #16810976C22semidirect
87. #16810967C22semidirect
88. #16810966C22semidirect
89. #16810964C22semidirect
90. #16810964C22semidirect
91. #16810958C22semidirect
92. #16810955C22semidirect
93. #16810955C22semidirect
94. #16810950C22semidirect
95. #16810950C22semidirect
99. #16810945C22semidirect
100. #16810943C22semidirect
101. #16810941C22semidirect
103. #16810940C22semidirect
104. #16810938C22semidirect
105. #16810933C22semidirect
106. #16810931C22semidirect
107. #16810931C22semidirect
108. #16810929C22semidirect
111. #16810924C22semidirect
112. #16810924C22semidirect
114. #16810923C22semidirect
115. #16810922C22semidirect
116. #16810922C22semidirect
117. #16810917C22semidirect
118. #16810917C22semidirect
119. #16810915C22semidirect
120. #16810912C22semidirect
121. #16810910C22semidirect
122. #16810905C22semidirect
123. #16810902C22semidirect
126. #16810900C22semidirect
127. #16810881C22semidirect
128. #16810877C22semidirect
130. #16810870C22semidirect
132. #16810869C22semidirect
134. #16810868C22semidirect
135. #16810865C22semidirect
137. #16810858C22semidirect
138. #16810853C22semidirect
139. #16810846C22semidirect
140. #16810846C22semidirect
141. #16810844C22semidirect
142. #16810839C22semidirect
143. #16810839C22semidirect
145. #16810838C22semidirect
146. #16810837C22semidirect
155. #16810750C22semidirect
156. #16810747C22semidirect
159. #16810729C22semidirect
160. #16810722C22semidirect
163. #16810710C22semidirect
165. C4×#11719923C22semidirect
166. #16810705C22semidirect
168. C4×#11719922C22semidirect
169. #16810700C22semidirect
171. #16810699C22semidirect
173. #16810692C22semidirect
174. #16810688C22semidirect
175. #16810683C22semidirect
176. #16810683C22semidirect
177. #16810676C22semidirect
178. #16810664C22semidirect
179. #16810662C22semidirect
180. #16810658C22semidirect
181. #107×D53C22semidirect
182. #16810648C22semidirect
183. #16810648C22semidirect
188. C53×#533C22semidirect
192. C53×#478C22semidirect
193. C53×#478C22semidirect
195. C53×#476C22semidirect
197. C53×#474C22semidirect
198. C53×#428C22semidirect
199. C53×#428C22semidirect
200. C53×#423C22semidirect
853. #3077D53semidirect
901. #533C2×D53semidirect
954. #478C2×D53semidirect
955. #478C2×D53semidirect
962. #476C2×D53semidirect
969. #474C2×D53semidirect
1023. #428C2×D53semidirect
1024. #428C2×D53semidirect
1029. #423C2×D53semidirect
1036. C53#62175semidirect

Maximal subgroups

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

subgroupindex
#202893642
#202886552
#202876732
#202875852
#202874812
#202873782
#202873062
#202872822
#202872712
#202872462
#202871562
#202871142
#202869422
#202869272
#202869132
#202868722
#202868572
#202865472
#202861752
#202861252
#202861162
#202860102
#202859752
#202858942
#202849972
#202849062
#202847622
#202845612
#202845412
#202838602
C53×#30772
#6217553