Finite Group Databasebeta

← #28275944

Subgroups — #28275944

Order 13568.

1678 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289214C211yesmaximal, characteristic, complemented
2#20288610C211yesmaximal, characteristic, complemented
3#20287800C211yesmaximal, characteristic, complemented
4#20287798C211yesmaximal, characteristic, complemented
5#20287776C211yesmaximal, characteristic, complemented
6#20287774C211yesmaximal, characteristic, complemented
7#20287714C211yesmaximal, characteristic, complemented
8#20287708C211yesmaximal, characteristic, complemented
9#20287700C211yesmaximal, characteristic, complemented
10#20287698C211yesmaximal, characteristic, complemented
11#20287556C211yesmaximal, characteristic, complemented
12#20287554C211yesmaximal, characteristic, complemented
13#20287541C211yesmaximal, characteristic, complemented
14#20287539C211yesmaximal, characteristic, complemented
15#20287416C211yesmaximal, characteristic, complemented
16#20287415C211yesmaximal, characteristic, complemented
17#20287380C211yesmaximal, characteristic, complemented
18#20287379C211yesmaximal, characteristic, complemented
19#20285809C211yesmaximal, characteristic, complemented
20#20285796C211yesmaximal, characteristic, complemented
21#20285774C211yesmaximal, characteristic, complemented
22#20285683C211yesmaximal, characteristic, complemented
23#20285677C211yesmaximal, characteristic, complemented
24#20284961C211yesmaximal, characteristic, complemented
25#20284952C211yesmaximal, characteristic, complemented
26#20284946C211yesmaximal, characteristic, complemented
27#20284938C211yesmaximal, characteristic, complemented
28#20284734C211yesmaximal, characteristic, complemented
29#20284726C211yesmaximal, characteristic, complemented
30#20283814C211yesmaximal, characteristic, complemented
31C53×#3224C211yesmaximal, characteristic, complemented
32#16811375—21no—
33#16811374—21no—
34#16811359C2211yescharacteristic
35#16811359C2211yescharacteristic
36#16811359C2211yescharacteristic
37#16811359C2211yescharacteristic
38#16811356C2211yescharacteristic, complemented
39#16811355C2211yescharacteristic, complemented
40#16811352C2211yescharacteristic, complemented
41#16811348C2211yescharacteristic, complemented
42#16811345C2211yescharacteristic, complemented
43#16811342C2211yescharacteristic
44#16811342C2211yescharacteristic
45#16811342C2211yescharacteristic
46#16811342C2211yescharacteristic
47#16811342C2211yescharacteristic, complemented
48#16811334C2211yescharacteristic, complemented
49#16811330C2211yescharacteristic, complemented
50#16811315—21no—
51#16811309—21no—
52#16811304—21no—
53#16811304—21no—
54#16811304—21no—
55#16811304—21no—
56#16811244C2211yescharacteristic
57#16811242—21no—
58#16811240—21no—
59#16811240—21no—
60#16811237—21no—
61#16811233C2211yescharacteristic
62#16811226C2211yescharacteristic
63#16811217—21no—
64#16811216—21no—
65#16811194C2211yescharacteristic
66#16811176C2211yescharacteristic
67#16811159C2211yescharacteristic
68#16811154—21no—
69#16811154—21no—
70#16811154C2211yescharacteristic
71C2×#13133204C2211yescharacteristic
72#16811100C2211yescharacteristic
73#16811098C2211yescharacteristic
74#41×Dic53C2211yescharacteristic
75#16811014C2211yescharacteristic, complemented
76#16811011C2211yescharacteristic, complemented
77#16811010C2211yescharacteristic
78#16811006C2211yescharacteristic
79#16811006C2211yescharacteristic
80#16811005C2211yescharacteristic
81#16811004C2211yescharacteristic
82#16811004C2211yescharacteristic
83#16811001C2211yescharacteristic, complemented
84#16810994C2211yescharacteristic, complemented
85#16810990C2211yescharacteristic, complemented
86#16810990C2211yescharacteristic, complemented
87#16810982C2211yescharacteristic
88#16810976C2211yescharacteristic
89#16810976C2211yescharacteristic
90#16810976C2211yescharacteristic
91#16810976C2211yescharacteristic
92#16810976C2211yescharacteristic, complemented
93#16810976C2211yescharacteristic, complemented
94#16810969C2211yescharacteristic
95#16810965C2211yescharacteristic
96#16810961C2211yescharacteristic
97#16810948C2211yescharacteristic
98#16810944C2211yescharacteristic
99#16810932C2211yescharacteristic, complemented
100#16810928C2211yescharacteristic, complemented
101#16810925C2211yescharacteristic
102#16810925C2211yescharacteristic
103#16810925C2211yescharacteristic, complemented
104#16810921C2211yescharacteristic
105#16810921C2211yescharacteristic
106#16810921C2211yescharacteristic, complemented
107#16810919C2211yescharacteristic, complemented
108#16810915C2211yescharacteristic, complemented
109#16810909C2211yescharacteristic, complemented
110#16810905C2211yescharacteristic, complemented
111#16810847C2211yescharacteristic, complemented
112#16810846C2211yescharacteristic, complemented
113#16810846C2211yescharacteristic, complemented
114#16810844C2211yescharacteristic
115#16810844C2211yescharacteristic
116#16810844C2211yescharacteristic, complemented
117#16810843C2211yescharacteristic
118#16810843C2211yescharacteristic
119#16810843C2211yescharacteristic, complemented
120#16810843C2211yescharacteristic, complemented
121#16810842C2211yescharacteristic
122#16810842C2211yescharacteristic, complemented
123#16810842C2211yescharacteristic, complemented
124#16810840C2211yescharacteristic, complemented
125#16810837C2211yescharacteristic
126#16810837C2211yescharacteristic
127#16810837C2211yescharacteristic, complemented
128#16810836C2211yescharacteristic
129#16810836C2211yescharacteristic
130#16810836C2211yescharacteristic, complemented
131#16810836C2211yescharacteristic, complemented
132#16810835C2211yescharacteristic
133#16810832C2211yescharacteristic, complemented
134#16810831C2211yescharacteristic, complemented
135#16810827C2211yescharacteristic, complemented
136#16810826C2211yescharacteristic
137#16810826C2211yescharacteristic
138#16810826C2211yescharacteristic, complemented
139#16810820C2211yescharacteristic
140#16810816C2211yescharacteristic
141#16810816C2211yescharacteristic
142#16810815C2211yescharacteristic
143#16810785C2211yescharacteristic
144#16810781C2211yescharacteristic
145#16810778C2211yescharacteristic
146#16810774C2211yescharacteristic
147#16810768C2211yescharacteristic
148#16810764C2211yescharacteristic
149#16810761C2211yescharacteristic
150#16810757C2211yescharacteristic
151#16810752C2211yescharacteristic, complemented
152#16810752C2211yescharacteristic, complemented
153#16810751C2211yescharacteristic, complemented
154#16810751C2211yescharacteristic, complemented
155C8×Dic106C2211yescharacteristic, complemented
156C8×Dic106C2211yescharacteristic, complemented
157#16810747C2211yescharacteristic, complemented
158#16810747C2211yescharacteristic, complemented
159#16810735C2211yescharacteristic
160#16810732C2211yescharacteristic
161#16810731C2211yescharacteristic, complemented
162#16810728C2211yescharacteristic, complemented
163#16810725C2211yescharacteristic, complemented
164#16810724C2211yescharacteristic
165#16810723C2211yescharacteristic, complemented
166#16810720C2211yescharacteristic
167C4×Dic212C2211yescharacteristic, complemented
168Q16×Dic53C2211yescharacteristic, complemented
169C4×#11719925C2211yescharacteristic, complemented
170#16810715C2211yescharacteristic, complemented
171#16810714C2211yescharacteristic
172#16810714C2211yescharacteristic, complemented
173C4×#11719913C2211yescharacteristic, complemented
174SD16×Dic53C2211yescharacteristic
175SD16×Dic53C2211yescharacteristic, complemented
176SD16×Dic53C2211yescharacteristic, complemented
177C4×#11719923C2211yescharacteristic, complemented
178#16810708C2211yescharacteristic, complemented
179D8×Dic53C2211yescharacteristic
180D8×Dic53C2211yescharacteristic, complemented
181#16810703C2211yescharacteristic
182#16810703C2211yescharacteristic, complemented
183#16810684C2211yescharacteristic
184#16810681C2211yescharacteristic
185#16810681C2211yescharacteristic
186#16810673C2211yescharacteristic
187#16810673C2211yescharacteristic
188C53×#542C2211yescharacteristic
189C53×#535C2211yescharacteristic
190C53×#496C2211yescharacteristic
191C53×#495C2211yescharacteristic
192C53×#489C2211yescharacteristic
193C53×#486C2211yescharacteristic
194C53×#464C2211yescharacteristic
195C53×#463C2211yescharacteristic
196C53×#460C2211yescharacteristic
197C53×#459C2211yescharacteristic
198C53×#452C2211yescharacteristic
199C53×#450C2211yescharacteristic
200C53×#449C2211yescharacteristic
201C53×#447C2211yescharacteristic
202C53×#433C2211yescharacteristic
203C22×Dic106C2311yescharacteristic
204C2×Dic212C2311yescharacteristic
205C2×Dic212C2311yescharacteristic
206C2×#11719925C2311yescharacteristic
207C2×#11719925C2311yescharacteristic
208C2×#11719925C2311yescharacteristic
209C2×#11719913C2311yescharacteristic
210C2×#11719913C2311yescharacteristic
211C2×#11719923C2311yescharacteristic
212C2×#11719923C2311yescharacteristic
213C2×#11719923C2311yescharacteristic
214C2×#11719923C2311yescharacteristic
215C2×#11719923C2311yescharacteristic
216C2×#11719924C2311yescharacteristic
217C2×#11719922C2311yescharacteristic
218C2×#11719922C2311yescharacteristic
219C2×#11719922C2311yescharacteristic
220#13133217—21no—
221#13133217C2311yescharacteristic
222#13133216D411yescharacteristic
223#13133216D411yescharacteristic
224#13133215—21no—
225#13133215C2311yescharacteristic
226#13133215C2311yescharacteristic
227#13133215C2311yescharacteristic
228#13133213C2311yescharacteristic
229#13133212—21no—
230#13133212—21no—
231#13133212—21no—
232#13133211—21no—
233#13133210—21no—
234#13133210—21no—
235#13133210—21no—
236#13133210—21no—
237#13133210—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#13133208—21no—
247#13133208—21no—
248#13133208—21no—
249#13133208D411yescharacteristic
250#13133208D411yescharacteristic
251#13133208C2311yescharacteristic
252#13133208C2311yescharacteristic
253#13133208C2311yescharacteristic
254#13133208C2311yescharacteristic
255#13133207—21no—
256#13133207—21no—
257#13133207—21no—
258#13133206C2311yescharacteristic
259#13133205C2311yescharacteristic
260#13133204—21no—
261#13133204—21no—
262#13133204—21no—
263#13133204—21no—
264#13133204—21no—
265#13133204—21no—
266#13133204C2311yescharacteristic
267#13133204C2311yescharacteristic
268#13133204C2311yescharacteristic
269#13133204C2311yescharacteristic
270#13133204C2311yescharacteristic
271#13133204C2311yescharacteristic
272#13133204C2311yescharacteristic
273#13133203—21no—
274#13133203—21no—
275#13133203—21no—
276#13133201—21no—
277#13133201—21no—
278#13133201—21no—
279#13133200—21no—
280#13133199—21no—
281#13133199—21no—
282#13133199—21no—
283#13133199—21no—
284#13133198—21no—
285#13133198—21no—
286#13133198—21no—
287#13133198—21no—
288#13133198—21no—
289#13133198—21no—
290#13133198—21no—
291#13133198—21no—
292#13133198—21no—
293#13133198—21no—
294#13133198—21no—
295#13133197—21no—
296#13133196—21no—
297#13133196—21no—
298#13133196—21no—
299#13133196C2311yescharacteristic
300#13133195—21no—
301#13133195—21no—
302#13133194—21no—
303#13133194—21no—
304#13133194—21no—
305#13133194—21no—
306#13133194—21no—
307#13133194—21no—
308#13133194—21no—
309#13133194D411yescharacteristic
310#13133194D411yescharacteristic
311#13133194D411yescharacteristic
312#13133194D411yescharacteristic
313#13133193—21no—
314#13133193—21no—
315#13133191C2311yescharacteristic
316#13133189—21no—
317#13133188—21no—
318Q8×Dic53—21no—
319Q8×Dic53C2311yescharacteristic
320Q8×Dic53C2311yescharacteristic
321Q8×Dic53C2311yescharacteristic
322Q8×Dic53C2311yescharacteristic
323C4×Dic106—21no—
324C4×Dic106C2311yescharacteristic
325C4×Dic106C2311yescharacteristic
326C4×Dic106C2311yescharacteristic
327C4×Dic106C2311yescharacteristic
328C4×Dic106C2311yescharacteristic
329C4×Dic106C2311yescharacteristic
330C4×Dic106C2311yescharacteristic
331C4×Dic106C2311yescharacteristic
332C4×Dic106C2311yescharacteristic
333#13133182—21no—
334#13133182—21no—
335#13133182C2311yescharacteristic
336#13133182C2311yescharacteristic
337C4×D212C2311yescharacteristic
338D4×Dic53—21no—
339D4×Dic53—21no—
340D4×Dic53—21no—
341D4×Dic53—21no—
342D4×Dic53—21no—
343D4×Dic53—21no—
344D4×Dic53—21no—
345D4×Dic53—21no—
346D4×Dic53—21no—
347D4×Dic53C2311yescharacteristic
348D4×Dic53C2311yescharacteristic
349D4×Dic53C2311yescharacteristic
350D4×Dic53C2311yescharacteristic
351D4×Dic53C2311yescharacteristic
352D4×Dic53C2311yescharacteristic
353D4×Dic53C2311yescharacteristic
354D4×Dic53C2311yescharacteristic
355#13133179C2311yescharacteristic
356#13133179C2311yescharacteristic
357C4×C22⋊D53—21no—
358#13133177—21no—
359#13133177—21no—
360#13133176—21no—
361#13133176C2311yescharacteristic
362#13133176C2311yescharacteristic
363#13133175—21no—
364#13133174—21no—
365#13133173—21no—
366#13133173—21no—
367#13133173—21no—
368#13133173—21no—
369#13133173—21no—
370#13133173—21no—
371#13133173—21no—
372#13133173—21no—
373C2×C4⋊Dic53—21no—
374C4⋊C4×D53—21no—
375C2×C22⋊Dic53—21no—
376C2×C22⋊Dic53—21no—
377C2×C22⋊Dic53—21no—
378C2×C22⋊Dic53—21no—
379C2×C4×Dic53—21no—
380C2×C4×Dic53C2311yescharacteristic
381#13133151C2311yescharacteristic
382#13133151C2311yescharacteristic
383#13133150C2311yescharacteristic
384#13133150C2311yescharacteristic
385#13133149C2311yescharacteristic
386#13133149C2311yescharacteristic
387#13133148C2311yescharacteristic
388#13133148C2311yescharacteristic
389C4⋊#88322C2311yescharacteristic
390C4⋊#88322C2311yescharacteristic
391#13133146C2311yescharacteristic
392#13133146C2311yescharacteristic
393#13133146C2311yescharacteristic
394#13133146C2311yescharacteristic
395#13133146C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133142C2311yescharacteristic
400#13133142C2311yescharacteristic
401#13133142C2311yescharacteristic
402#13133142C2311yescharacteristic
403#13133142C2311yescharacteristic
404#13133142C2311yescharacteristic
405#13133141C2311yescharacteristic
406#13133141C2311yescharacteristic
407#13133141C2311yescharacteristic
408#13133141C2311yescharacteristic
409#13133140C2311yescharacteristic
410#13133140C2311yescharacteristic
411#13133140C2311yescharacteristic
412#13133140C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133138C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133138C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133138C2311yescharacteristic
423C22⋊#88322C2311yescharacteristic
424C22⋊#88322C2311yescharacteristic
425#13133128C2311yescharacteristic
426#13133127C2311yescharacteristic
427#13133127C2311yescharacteristic
428C4×#88322C2311yescharacteristic
429C8×Dic53C2311yescharacteristic
430C8×Dic53C2311yescharacteristic
431C8×Dic53C2311yescharacteristic
432C8×Dic53C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C2×#41×C53C2311yescharacteristic
436C22×D4×C53C2311yescharacteristic
437C2×Q16×C53C2311yescharacteristic
438C2×SD16×C53C2311yescharacteristic
439C2×SD16×C53C2311yescharacteristic
440C2×SD16×C53C2311yescharacteristic
441C2×SD16×C53C2311yescharacteristic
442C2×D8×C53C2311yescharacteristic
443C2×D8×C53C2311yescharacteristic
444C2×D8×C53C2311yescharacteristic
445C4⋊Q8×C53C2311yescharacteristic
446#127×C53C2311yescharacteristic
447#127×C53C2311yescharacteristic
448#126×C53—21no—
449#124×C53—21no—
450#124×C53C2311yescharacteristic
451#124×C53C2311yescharacteristic
452#124×C53C2311yescharacteristic
453#123×C53—21no—
454C22⋊Q8×C53—21no—
455C22⋊Q8×C53C2311yescharacteristic
456#121×C53—21no—
457#121×C53—21no—
458#121×C53C2311yescharacteristic
459#120×C53—21no—
460#120×C53—21no—
461C4×Q8×C53C2311yescharacteristic
462C4×D4×C53C2311yescharacteristic
463#117×C53C2311yescharacteristic
464C4⋊C8×C53C2311yescharacteristic
465C4⋊C8×C53C2311yescharacteristic
466#103×C53C2311yescharacteristic
467#103×C53C2311yescharacteristic
468#102×C53C2311yescharacteristic
469#102×C53C2311yescharacteristic
470#102×C53C2311yescharacteristic
471#102×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474C22⋊C8×C53C2311yescharacteristic
475C22⋊C8×C53C2311yescharacteristic
476#97×C53C2311yescharacteristic
477C4×C8×C53C2311yescharacteristic
478C24×C53—21no—
479#41×C53—41no—
480#41×C53—41no—
481C2×Q8×C53—21no—
482C2×Q8×C53C2411yescharacteristic
483C2×Q8×C53C2411yescharacteristic
484C2×D4×C53—21no—
485C2×D4×C53—21no—
486C2×D4×C53—21no—
487C2×D4×C53—21no—
488C2×D4×C53—21no—
489C2×D4×C53—21no—
490C2×D4×C53—21no—
491C2×D4×C53—41no—
492C2×D4×C53—41no—
493C2×D4×C53C2411yescharacteristic
494C2×D4×C53C2411yescharacteristic
495C2×D4×C53C2411yescharacteristic
496C2×D4×C53C2411yescharacteristic
497C22×C4×C53—21no—
498C22×C4×C53—21no—
499C22×C4×C53C2411yescharacteristic
500C2×C22⋊D53—21no—
501C2×C22⋊D53—21no—
502C2×C22⋊D53—21no—
503C22×Dic53—21no—
504C22×Dic53—21no—
505C22×Dic53—21no—
506C22×Dic53—21no—
507C22×Dic53—21no—
508C22×Dic53—21no—
509C22×Dic53—21no—
510C22×Dic53—21no—
511C22×Dic53—21no—
512C22×Dic53C2×D411yescharacteristic
513C22×Dic53C2×D411yescharacteristic
514C2×D212C2411yescharacteristic
515C2×C4×D53—21no—
516C2×C4×D53—21no—
517C2×C4×D53—21no—
518C2×Dic106—21no—
519C2×Dic106—21no—
520C2×Dic106—41no—
521C2×Dic106—41no—
522C2×Dic106C2×D411yescharacteristic
523C2×Dic106C2×D411yescharacteristic
524C2×Dic106C2×D411yescharacteristic
525C2×Dic106C2×D411yescharacteristic
526C2×Dic106C2411yescharacteristic
527C2×Dic106C2411yescharacteristic
528C2×Dic106C2411yescharacteristic
529Q16×C53—41no—
530SD16×C53—41no—
531SD16×C53—41no—
532SD16×C53—41no—
533SD16×C53—41no—
534D8×C53—41no—
535D8×C53—41no—
536D8×C53—41no—
537C2×C8×C53C2411yescharacteristic
538C2×C8×C53C2411yescharacteristic
539C2×C8×C53C2411yescharacteristic
540C2×C8×C53C2411yescharacteristic
541C4⋊C4×C53—21no—
542C4⋊C4×C53—21no—
543C4⋊C4×C53—21no—
544C4⋊C4×C53C2×D411yescharacteristic
545C4⋊C4×C53C2×D411yescharacteristic
546C4⋊C4×C53C2411yescharacteristic
547C4⋊C4×C53C2411yescharacteristic
548C22⋊C4×C53—21no—
549C22⋊C4×C53—21no—
550C22⋊C4×C53—21no—
551C22⋊C4×C53—21no—
552C22⋊C4×C53—21no—
553C22⋊C4×C53—21no—
554C22⋊C4×C53—21no—
555C22⋊C4×C53—21no—
556C22⋊C4×C53—21no—
557C22⋊C4×C53C2×D411yescharacteristic
558C22⋊C4×C53C2×D411yescharacteristic
559C42×C53—21no—
560C42×C53C2411yescharacteristic
561C42×C53C2411yescharacteristic
562C22⋊Dic53—21no—
563C22⋊Dic53—21no—
564C22⋊Dic53—21no—
565C22⋊Dic53—21no—
566C22⋊Dic53—21no—
567C22⋊Dic53—21no—
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⋊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⋊Dic53C2×D411yescharacteristic
587C22⋊Dic53C2×D411yescharacteristic
588#11719925—41no—
589#11719925—41no—
590#11719925—41no—
591#11719924—41no—
592#11719923—41no—
593#11719923—41no—
594#11719923—41no—
595#11719923—41no—
596#11719923—41no—
597#11719922—41no—
598#11719922—41no—
599#11719922—41no—
600#11719921—21no—
601#11719921—21no—
602#11719921—21no—
603#11719921—21no—
604#11719921—21no—
605#11719921—21no—
606#11719921—21no—
607#11719921—21no—
608C4⋊Dic53—21no—
609C4⋊Dic53—21no—
610C4⋊Dic53—21no—
611C4⋊Dic53—21no—
612C4⋊Dic53—21no—
613C4⋊Dic53—21no—
614C4⋊Dic53—21no—
615C4⋊Dic53—21no—
616C4⋊Dic53—21no—
617C4⋊Dic53C2×D411yescharacteristic
618C4⋊Dic53C2×D411yescharacteristic
619C4⋊Dic53C2×D411yescharacteristic
620C4⋊Dic53C2×D411yescharacteristic
621C4⋊Dic53C2×D411yescharacteristic
622C4⋊Dic53C2×D411yescharacteristic
623C4⋊Dic53C2411yescharacteristic
624C4⋊Dic53C2411yescharacteristic
625C4⋊Dic53C2411yescharacteristic
626C4⋊Dic53C2411yescharacteristic
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#11719919—21no—
645#11719919C2×D411yescharacteristic
646#11719919C2×D411yescharacteristic
647#11719919C2×D411yescharacteristic
648#11719919C2×D411yescharacteristic
649#11719919C2×D411yescharacteristic
650#11719919C2×D411yescharacteristic
651#11719919C2×D411yescharacteristic
652#11719919C2×D411yescharacteristic
653C4×Dic53—21no—
654C4×Dic53—21no—
655C4×Dic53—21no—
656C4×Dic53—21no—
657C4×Dic53—21no—
658C4×Dic53—21no—
659C4×Dic53—21no—
660C4×Dic53—21no—
661C4×Dic53—21no—
662C4×Dic53—21no—
663C4×Dic53—21no—
664C4×Dic53—21no—
665C4×Dic53C2×D411yescharacteristic
666C4×Dic53C2×D411yescharacteristic
667C4×Dic53C2411yescharacteristic
668C4×Dic53C2411yescharacteristic
669C4×Dic53C2411yescharacteristic
670C4×Dic53C2411yescharacteristic
671C2×#88322C2411yescharacteristic
672C2×#88322C2411yescharacteristic
673C2×#88322C2411yescharacteristic
674C2×#88322C2411yescharacteristic
675Dic212—41no—
676Dic212—41no—
677#11719913—41no—
678#11719913—41no—
679C23×C53—21no—
680C23×C53—21no—
681C23×C53—21no—
682C23×C53—21no—
683C23×C53—42no—
684C23×C53—81no—
685C23×C53—81no—
686C23×C53C22×D411yescharacteristic
687C22×D53—21no—
688Q8×C53—21no—
689Q8×C53—21no—
690Q8×C53—21no—
691Q8×C53—21no—
692Q8×C53—81no—
693D4×C53—21no—
694D4×C53—21no—
695D4×C53—21no—
696D4×C53—21no—
697D4×C53—21no—
698D4×C53—21no—
699D4×C53—21no—
700D4×C53—21no—
701D4×C53—42no—
702D4×C53—42no—
703D4×C53—81no—
704D4×C53—81no—
705D4×C53—81no—
706D4×C53—81no—
707D4×C53—81no—
708C2×C4×C53—21no—
709C2×C4×C53—21no—
710C2×C4×C53—21no—
711C2×C4×C53—21no—
712C2×C4×C53—21no—
713C2×C4×C53—21no—
714C2×C4×C53—42no—
715C2×C4×C53—81no—
716C2×C4×C53C22×D411yescharacteristic
717C2×C4×C53C22×D411yescharacteristic
718C2×C4×C53C22×D411yescharacteristic
719C2×C4×C53C22×D411yescharacteristic
720C2×C4×C53C22×D411yescharacteristic
721C2×C4×C53C2511yescharacteristic
722C22⋊D53—81no—
723C22⋊D53—81no—
724C22⋊D53—81no—
725C2×Dic53—21no—
726C2×Dic53—21no—
727C2×Dic53—21no—
728C2×Dic53—21no—
729C2×Dic53—21no—
730C2×Dic53—21no—
731C2×Dic53—21no—
732C2×Dic53—41no—
733C2×Dic53—41no—
734C2×Dic53—42no—
735C2×Dic53—81no—
736C2×Dic53—81no—
737C2×Dic53—81no—
738C2×Dic53—81no—
739C2×Dic53—81no—
740C2×Dic53—81no—
741C2×Dic53—81no—
742C2×Dic53—81no—
743C2×Dic53C22×D411yescharacteristic
744C2×Dic53C22×D411yescharacteristic
745C2×Dic53C22×D411yescharacteristic
746C2×Dic53C22×D411yescharacteristic
747C2×Dic53C22×D411yescharacteristic
748C2×Dic53C22×D411yescharacteristic
749C2×Dic53C22×D411yescharacteristic
750C2×Dic53C22×D411yescharacteristic
751D212—21no—
752D212—21no—
753C4×D53—81no—
754C4×D53—81no—
755C4×D53—81no—
756Dic106—21no—
757Dic106—21no—
758Dic106—21no—
759Dic106—21no—
760Dic106—21no—
761Dic106—21no—
762Dic106—41no—
763Dic106—41no—
764Dic106—41no—
765Dic106—41no—
766Dic106—42no—
767Dic106—81no—
768C8×C53—21no—
769C8×C53—21no—
770C8×C53—21no—
771C8×C53—21no—
772#88322—21no—
773#88322—21no—
774#88322—21no—
775#88322—21no—
776#61930—531nomaximal, Sylow
777C22×C53—21no—
778C22×C53—21no—
779C22×C53—21no—
780C22×C53—41no—
781C22×C53—41no—
782C22×C53—41no—
783C22×C53—41no—
784C22×C53—41no—
785C22×C53—41no—
786C22×C53—41no—
787C22×C53—41no—
788C22×C53—41no—
789C22×C53—41no—
790C22×C53—41no—
791C22×C53—41no—
792C22×C53—162no—
793C22×C53C23×D411yescharacteristic
794C2×D53—41no—
795C2×D53—41no—
796C2×D53—41no—
797C4×C53—21no—
798C4×C53—21no—
799C4×C53—21no—
800C4×C53—21no—
801C4×C53—21no—
802C4×C53—41no—
803C4×C53—41no—
804C4×C53—41no—
805C4×C53—41no—
806C4×C53#58511yescharacteristic
807C4×C53#58511yescharacteristic
808Dic53—21no—
809Dic53—21no—
810Dic53—21no—
811Dic53—21no—
812Dic53—21no—
813Dic53—21no—
814Dic53—21no—
815Dic53—21no—
816Dic53—41no—
817Dic53—41no—
818Dic53—41no—
819Dic53—41no—
820Dic53—41no—
821Dic53—41no—
822Dic53—41no—
823#3557—531no—
824#3510—531no—
825#3403—531no—
826#3403—531no—
827#3401—531no—
828#3401—531no—
829#3394—531no—
830#3394—531no—
831#3393—531no—
832#3393—531no—
833#3377—531no—
834#3377—531no—
835#3376—531no—
836#3376—531no—
837#3365—531no—
838#3365—531no—
839#3361—531no—
840#3361—531no—
841#3224—531no—
842#3224D5311yescharacteristic, complemented
843#3223—531no—
844#3221—531no—
845#3211—531no—
846#3211—531no—
847#3123—531no—
848#3122—531no—
849#3121—531no—
850#3121—531no—
851#3102—531no—
852#3102—531no—
853#2986—531no—
854C2×C53—41no—
855C2×C53—81no—
856C2×C53—81no—
857C2×C53—81no—
858C2×C53—81no—
859C2×C53#348711yescharacteristic
860C2×C53#358411yescharacteristic
861C2×C53#358411yescharacteristic
862D53—81no—
863#563—1061no—
864#563—1061no—
865#559—531no—
866#559—531no—
867#559—531no—
868#559—531no—
869#559—531no—
870#559—531no—
871#557—531no—
872#557—531no—
873#556—531no—
874#556—531no—
875#556—531no—
876#556—531no—
877#556—531no—
878#556—531no—
879#554—531no—
880#554—531no—
881#552—1061no—
882#552—1061no—
883#551—1061no—
884#551—1061no—
885#551—1061no—
886#551—1061no—
887#542—531no—
888#542—1061no—
889#542—1061no—
890#542—1061no—
891#542—1061no—
892#542C2×D5311yescharacteristic
893#541—531no—
894#540—531no—
895#539—1061no—
896#539—1061no—
897#536—531no—
898#535C2×D5311yescharacteristic
899#533—531no—
900#529—531no—
901#529—531no—
902#529—1061no—
903#529—1061no—
904C2×#124—531no—
905#519—531no—
906#518—531no—
907C4×#41—531no—
908#497—531no—
909#496—531no—
910#496—531no—
911#496C2×D5311yescharacteristic
912#495—531no—
913#495—531no—
914#495—531no—
915#495—531no—
916#495—531no—
917#495C2×D5311yescharacteristic
918#494—531no—
919#492—531no—
920#491—531no—
921#491—531no—
922#489—531no—
923#489C2×D5311yescharacteristic
924#488—531no—
925#488—531no—
926#488—531no—
927#488—531no—
928#488—531no—
929#488—531no—
930#486—531no—
931#486C2×D5311yescharacteristic
932#485—531no—
933#485—531no—
934#482—531no—
935#482—531no—
936#479—531no—
937#479—531no—
938#478—531no—
939#478—531no—
940#478—531no—
941#478—531no—
942#478—531no—
943#478—531no—
944#477—531no—
945#477—531no—
946#475—531no—
947#475—531no—
948#464—531no—
949#464—531no—
950#464—531no—
951#464—531no—
952#464—531no—
953#464—531no—
954#464—531no—
955#464—531no—
956#464—531no—
957#464—531no—
958#464—531no—
959#464—531no—
960#464—531no—
961#464C2×D5311yescharacteristic
962#463—531no—
963#463—531no—
964#463—531no—
965#463—531no—
966#463—531no—
967#463—531no—
968#463—531no—
969#463—531no—
970#463—531no—
971#463C2×D5311yescharacteristic
972#462—531no—
973#462—531no—
974#461—531no—
975#461—531no—
976#461—531no—
977#461—531no—
978#460—531no—
979#460C2×D5311yescharacteristic
980#459—531no—
981#459—531no—
982#459—531no—
983#459C2×D5311yescharacteristic
984#452—531no—
985#452C2×D5311yescharacteristic
986#451—531no—
987#451—531no—
988#450—531no—
989#450C2×D5311yescharacteristic
990#449—531no—
991#449C2×D5311yescharacteristic
992#448—531no—
993#448—531no—
994#447—531no—
995#447C2×D5311yescharacteristic
996#446—531no—
997#446—531no—
998#446—531no—
999#446—531no—
1000C8×Q8—531no—
1001C8×Q8—531no—
1002C8×Q8—531no—
1003C8×Q8—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—
1012C4×Q16—531no—
1013C4×Q16—531no—
1014C4×Q16—531no—
1015C4×Q16—531no—
1016C4×SD16—531no—
1017C4×SD16—531no—
1018C4×SD16—531no—
1019C4×SD16—531no—
1020C4×SD16—531no—
1021C4×SD16—531no—
1022C4×SD16—531no—
1023C4×SD16—531no—
1024C4×D8—531no—
1025C4×D8—531no—
1026C4×D8—531no—
1027C4×D8—531no—
1028#433—531no—
1029#433—531no—
1030#433—531no—
1031#433C2×D5311yescharacteristic
1032#431—531no—
1033#431—531no—
1034C53#6193011yescharacteristic, complemented, Sylow
1035C2×#41C22×D5311yescharacteristic
1036C22×Q8—531no—
1037C22×D4C22×D5311yescharacteristic
1038C2×Q16—531no—
1039C2×Q16—531no—
1040C2×Q16—531no—
1041C2×Q16—531no—
1042C2×Q16—531no—
1043C2×Q16C22×D5311yescharacteristic
1044C2×SD16—531no—
1045C2×SD16—531no—
1046C2×SD16—531no—
1047C2×SD16—531no—
1048C2×SD16—531no—
1049C2×SD16—531no—
1050C2×SD16—531no—
1051C2×SD16—531no—
1052C2×SD16C22×D5311yescharacteristic
1053C2×SD16C22×D5311yescharacteristic
1054C2×SD16C22×D5311yescharacteristic
1055C2×SD16C22×D5311yescharacteristic
1056C2×D8—531no—
1057C2×D8—531no—
1058C2×D8—531no—
1059C2×D8C22×D5311yescharacteristic
1060C2×D8C22×D5311yescharacteristic
1061C2×D8C22×D5311yescharacteristic
1062C4⋊Q8—531no—
1063C4⋊Q8—531no—
1064C4⋊Q8—531no—
1065C4⋊Q8—531no—
1066C4⋊Q8—531no—
1067C4⋊Q8—531no—
1068C4⋊Q8—1061no—
1069C4⋊Q8—1061no—
1070C4⋊Q8C22×D5311yescharacteristic
1071#127—531no—
1072#127C22×D5311yescharacteristic
1073#127C22×D5311yescharacteristic
1074#126—21no—
1075#126—1061no—
1076#126—1061no—
1077#126—1061no—
1078#126—1061no—
1079#126—1061no—
1080#126—1061no—
1081#126—1061no—
1082#126—1061no—
1083#126—1061no—
1084#126—1061no—
1085#126—1061no—
1086#126—1061no—
1087#126—1061no—
1088#126—1061no—
1089#126—1061no—
1090#126—1061no—
1091#126—1061no—
1092#125—531no—
1093#125—531no—
1094#125—531no—
1095#125—531no—
1096#125—531no—
1097#125—531no—
1098#125—1061no—
1099#125—1061no—
1100#125—1061no—
1101#125—1061no—
1102#125—1061no—
1103#125—1061no—
1104#124—21no—
1105#124—531no—
1106#124—531no—
1107#124—531no—
1108#124—531no—
1109#124—531no—
1110#124—531no—
1111#124—531no—
1112#124—531no—
1113#124—531no—
1114#124—1061no—
1115#124—1061no—
1116#124—1061no—
1117#124—1061no—
1118#124—1061no—
1119#124—1061no—
1120#124—1061no—
1121#124—1061no—
1122#124—1061no—
1123#124C22×D5311yescharacteristic
1124#124C22×D5311yescharacteristic
1125#124C22×D5311yescharacteristic
1126#123—21no—
1127#123—1061no—
1128#123—1061no—
1129#123—1061no—
1130#123—1061no—
1131#123—1061no—
1132#123—1061no—
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—
1146C22⋊Q8—21no—
1147C22⋊Q8—531no—
1148C22⋊Q8—531no—
1149C22⋊Q8—531no—
1150C22⋊Q8—531no—
1151C22⋊Q8—531no—
1152C22⋊Q8—1061no—
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⋊Q8—1061no—
1164C22⋊Q8—1061no—
1165C22⋊Q8—1061no—
1166C22⋊Q8—1061no—
1167C22⋊Q8C22×D5311yescharacteristic
1168#121—21no—
1169#121—21no—
1170#121—531no—
1171#121—1061no—
1172#121—1061no—
1173#121C22×D5311yescharacteristic
1174#120—21no—
1175#120—21no—
1176C4×Q8—531no—
1177C4×Q8—531no—
1178C4×Q8—531no—
1179C4×Q8—531no—
1180C4×Q8—531no—
1181C4×Q8—531no—
1182C4×Q8—531no—
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×Q8—1061no—
1194C4×Q8—1061no—
1195C4×Q8C22×D5311yescharacteristic
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×D4C22×D5311yescharacteristic
1220#117—531no—
1221#117—531no—
1222#117—1061no—
1223#117—1061no—
1224#117—1061no—
1225#117—1061no—
1226#117—1061no—
1227#117—1061no—
1228#117—1061no—
1229#117—1061no—
1230#117—1061no—
1231#117—1061no—
1232#117—1061no—
1233#117C22×D5311yescharacteristic
1234C2×C4⋊C4—1061no—
1235C2×C4⋊C4—1061no—
1236C2×C22⋊C4—1061no—
1237C2×C22⋊C4—1061no—
1238C2×C22⋊C4—1061no—
1239C2×C22⋊C4—1061no—
1240C2×C42—531no—
1241C2×C42—1061no—
1242#107—531no—
1243#107—531no—
1244#107—531no—
1245#107—531no—
1246#106—531no—
1247#106—531no—
1248#106—531no—
1249#106—531no—
1250C4⋊C8—531no—
1251C4⋊C8—531no—
1252C4⋊C8—531no—
1253C4⋊C8—531no—
1254C4⋊C8—531no—
1255C4⋊C8—531no—
1256C4⋊C8—531no—
1257C4⋊C8—531no—
1258C4⋊C8—531no—
1259C4⋊C8—531no—
1260C4⋊C8C22×D5311yescharacteristic
1261C4⋊C8C22×D5311yescharacteristic
1262#103—531no—
1263#103—531no—
1264#103—531no—
1265#103—531no—
1266#103—531no—
1267#103—531no—
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#103C22×D5311yescharacteristic
1277#103C22×D5311yescharacteristic
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#102C22×D5311yescharacteristic
1289#102C22×D5311yescharacteristic
1290#102C22×D5311yescharacteristic
1291#102C22×D5311yescharacteristic
1292#102C22×D5311yescharacteristic
1293#102C22×D5311yescharacteristic
1294C22⋊C8—531no—
1295C22⋊C8—531no—
1296C22⋊C8C22×D5311yescharacteristic
1297C22⋊C8C22×D5311yescharacteristic
1298#97—531no—
1299#97—531no—
1300#97—531no—
1301#97C22×D5311yescharacteristic
1302C4×C8—531no—
1303C4×C8—531no—
1304C4×C8—531no—
1305C4×C8—531no—
1306C4×C8—531no—
1307C4×C8—531no—
1308C4×C8—531no—
1309C4×C8C22×D5311yescharacteristic
1310C24—21no—
1311#41—41no—
1312#41—41no—
1313C2×Q8—21no—
1314C2×Q8—531no—
1315C2×Q8—531no—
1316C2×Q8—531no—
1317C2×Q8—531no—
1318C2×Q8—531no—
1319C2×Q8—531no—
1320C2×Q8—531no—
1321C2×Q8—1061no—
1322C2×Q8—1061no—
1323C2×Q8—2121no—
1324C2×Q8—2121no—
1325C2×Q8C23×D5311yescharacteristic
1326C2×Q8C23×D5311yescharacteristic
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—531no—
1337C2×D4—1061no—
1338C2×D4—1061no—
1339C2×D4—1061no—
1340C2×D4C23×D5311yescharacteristic
1341C2×D4C23×D5311yescharacteristic
1342C2×D4C23×D5311yescharacteristic
1343C2×D4C23×D5311yescharacteristic
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—531no—
1347C22×C4—531no—
1348C22×C4—1061no—
1349C22×C4—1061no—
1350C22×C4—1061no—
1351C22×C4—1061no—
1352C22×C4—1061no—
1353C22×C4—1061no—
1354C22×C4—1061no—
1355C22×C4—1061no—
1356C22×C4—1061no—
1357C22×C4—1061no—
1358C22×C4—1061no—
1359C22×C4—1061no—
1360C22×C4C23×D5311yescharacteristic
1361Q16—41no—
1362Q16—2121no—
1363Q16—2121no—
1364Q16—2121no—
1365Q16—2121no—
1366Q16—2121no—
1367SD16—41no—
1368SD16—41no—
1369SD16—41no—
1370SD16—41no—
1371SD16—2121no—
1372SD16—2121no—
1373SD16—2121no—
1374SD16—2121no—
1375SD16—2121no—
1376SD16—2121no—
1377SD16—2121no—
1378SD16—2121no—
1379D8—41no—
1380D8—41no—
1381D8—41no—
1382D8—2121no—
1383D8—2121no—
1384D8—2121no—
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—531no—
1397C4⋊C4—531no—
1398C4⋊C4—531no—
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—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⋊C4—1061no—
1441C4⋊C4D4×D5311yescharacteristic
1442C4⋊C4D4×D5311yescharacteristic
1443C4⋊C4C23×D5311yescharacteristic
1444C4⋊C4C23×D5311yescharacteristic
1445C22⋊C4—21no—
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—1061no—
1457C22⋊C4—1061no—
1458C22⋊C4—1061no—
1459C22⋊C4—1061no—
1460C22⋊C4—1061no—
1461C22⋊C4—1061no—
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—531no—
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—
1505C42—1061no—
1506C42—1061no—
1507C42—1061no—
1508C42—1061no—
1509C42C23×D5311yescharacteristic
1510C42C23×D5311yescharacteristic
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—42no—
1516C23—81no—
1517C23—81no—
1518C23—1061no—
1519C23C2×D4×D5311yescharacteristic
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—21no—
1524Q8—81no—
1525Q8—1061no—
1526Q8—1061no—
1527Q8—1061no—
1528Q8—1061no—
1529Q8—1061no—
1530Q8—1061no—
1531Q8—4241no—
1532Q8—2121no—
1533Q8—2121no—
1534Q8—2121no—
1535Q8—2121no—
1536Q8—2122no—
1537D4—21no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—21no—
1545D4—42no—
1546D4—42no—
1547D4—81no—
1548D4—81no—
1549D4—81no—
1550D4—81no—
1551D4—81no—
1552D4—1061no—
1553D4—1061no—
1554D4—4241no—
1555D4—4241no—
1556D4—4241no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—42no—
1564C2×C4—81no—
1565C2×C4—531no—
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—4241no—
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×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—21no—
1610C22—21no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—162no—
1624C22—2121no—
1625C22—2121no—
1626C22—2121no—
1627C22C22×D4×D5311yescharacteristic
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—1061no—
1638C4—1061no—
1639C4—1061no—
1640C4—1061no—
1641C4—1061no—
1642C4—1061no—
1643C4—1061no—
1644C4—1061no—
1645C4—2121no—
1646C4—2121no—
1647C4—2121no—
1648C4—2121no—
1649C4—2121no—
1650C4—2121no—
1651C4—2121no—
1652C4#1681145811yescharacteristic
1653C4#1681145811yescharacteristic
1654C2—41no—
1655C2—81no—
1656C2—81no—
1657C2—81no—
1658C2—81no—
1659C2—4241no—
1660C2#2028837111yescharacteristic
1661C2#2028948311yescharacteristic
1662C2#2028948711yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3224C2
socleC22×C53C23×D4
hypercenter#3224D53
hypocenterC53#61930
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #20289214C2semidirect
2. #20288610C2semidirect
3. #20287800C2semidirect
4. #20287798C2semidirect
5. #20287776C2semidirect
6. #20287774C2semidirect
7. #20287714C2semidirect
8. #20287708C2semidirect
9. #20287700C2semidirect
10. #20287698C2semidirect
11. #20287556C2semidirect
12. #20287554C2semidirect
13. #20287541C2semidirect
14. #20287539C2semidirect
15. #20287416C2semidirect
16. #20287415C2semidirect
17. #20287380C2semidirect
18. #20287379C2semidirect
19. #20285809C2semidirect
20. #20285796C2semidirect
21. #20285774C2semidirect
22. #20285683C2semidirect
23. #20285677C2semidirect
24. #20284961C2semidirect
25. #20284952C2semidirect
26. #20284946C2semidirect
27. #20284938C2semidirect
28. #20284734C2semidirect
29. #20284726C2semidirect
30. #20283814C2semidirect
31. C53×#3224C2semidirect
38. #16811356C22semidirect
39. #16811355C22semidirect
40. #16811352C22semidirect
41. #16811348C22semidirect
42. #16811345C22semidirect
47. #16811342C22semidirect
48. #16811334C22semidirect
49. #16811330C22semidirect
75. #16811014C22semidirect
76. #16811011C22semidirect
83. #16811001C22semidirect
84. #16810994C22semidirect
85. #16810990C22semidirect
86. #16810990C22semidirect
92. #16810976C22semidirect
93. #16810976C22semidirect
99. #16810932C22semidirect
100. #16810928C22semidirect
103. #16810925C22semidirect
106. #16810921C22semidirect
107. #16810919C22semidirect
108. #16810915C22semidirect
109. #16810909C22semidirect
110. #16810905C22semidirect
111. #16810847C22semidirect
112. #16810846C22semidirect
113. #16810846C22semidirect
116. #16810844C22semidirect
119. #16810843C22semidirect
120. #16810843C22semidirect
122. #16810842C22semidirect
123. #16810842C22semidirect
124. #16810840C22semidirect
127. #16810837C22semidirect
130. #16810836C22semidirect
131. #16810836C22semidirect
133. #16810832C22semidirect
134. #16810831C22semidirect
135. #16810827C22semidirect
138. #16810826C22semidirect
151. #16810752C22semidirect
152. #16810752C22semidirect
153. #16810751C22semidirect
154. #16810751C22semidirect
155. C8×Dic106C22semidirect
156. C8×Dic106C22semidirect
157. #16810747C22semidirect
158. #16810747C22semidirect
161. #16810731C22semidirect
162. #16810728C22semidirect
163. #16810725C22semidirect
165. #16810723C22semidirect
167. C4×Dic212C22semidirect
168. Q16×Dic53C22semidirect
169. C4×#11719925C22semidirect
170. #16810715C22semidirect
172. #16810714C22semidirect
173. C4×#11719913C22semidirect
175. SD16×Dic53C22semidirect
176. SD16×Dic53C22semidirect
177. C4×#11719923C22semidirect
178. #16810708C22semidirect
180. D8×Dic53C22semidirect
182. #16810703C22semidirect
842. #3224D53semidirect
1034. C53#61930semidirect

Maximal subgroups

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

subgroupindex
#202892142
#202886102
#202878002
#202877982
#202877762
#202877742
#202877142
#202877082
#202877002
#202876982
#202875562
#202875542
#202875412
#202875392
#202874162
#202874152
#202873802
#202873792
#202858092
#202857962
#202857742
#202856832
#202856772
#202849612
#202849522
#202849462
#202849382
#202847342
#202847262
#202838142
C53×#32242
#6193053