Finite Group Databasebeta

← D53×#3377 #28263881

Subgroups — D53×#3377 #28263881

Order 13568.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#557×D53C211yesmaximal, characteristic, complemented
2#556×D53C211yesmaximal, characteristic
3#20287564C211yesmaximal, characteristic, complemented
4#20287563C211yesmaximal, characteristic, complemented
5#20287562C211yesmaximal, characteristic, complemented
6#20287561C211yesmaximal, characteristic, complemented
7#20287560C211yesmaximal, characteristic, complemented
8#20287559C211yesmaximal, characteristic, complemented
9#20287558C211yesmaximal, characteristic, complemented
10#20287557C211yesmaximal, characteristic, complemented
11#20287556C211yesmaximal, characteristic, complemented
12#20287555C211yesmaximal, characteristic, complemented
13#20287554C211yesmaximal, characteristic, complemented
14#20287553C211yesmaximal, characteristic, complemented
15#20287552C211yesmaximal, characteristic, complemented
16#20287551C211yesmaximal, characteristic, complemented
17#20287550C211yesmaximal, characteristic, complemented
18#491×D53C211yesmaximal, characteristic, complemented
19#489×D53C211yesmaximal, characteristic
20#488×D53C211yesmaximal, characteristic
21#479×D53C211yesmaximal, characteristic, complemented
22#477×D53C211yesmaximal, characteristic, complemented
23#478×D53C211yesmaximal, characteristic
24#464×D53C211yesmaximal, characteristic
25#464×D53C211yesmaximal, characteristic
26#462×D53C211yesmaximal, characteristic, complemented
27#446×D53C211yesmaximal, characteristic, complemented
28#441×D53C211yesmaximal, characteristic, complemented
29#440×D53C211yesmaximal, characteristic
30C4×Q16×D53C211yesmaximal, characteristic, complemented
31C53×#3377C211yesmaximal, characteristic, complemented
32C2×Q16×D53C2211yescharacteristic
33C2×Q16×D53C2211yescharacteristic
34C2×SD16×D53C2211yescharacteristic
35#16811352C2211yescharacteristic, complemented
36#16811351—21no—
37#16811351C2211yescharacteristic, complemented
38#16811350—21no—
39#16811350—21no—
40#16811350C2211yescharacteristic, complemented
41#16811350C2211yescharacteristic, complemented
42#16811349C2211yescharacteristic, complemented
43#16811349C2211yescharacteristic, complemented
44#16811348—21no—
45#16811348C2211yescharacteristic, complemented
46#16811347C2211yescharacteristic
47#16811346C2211yescharacteristic
48#16811345C2211yescharacteristic
49#16811345C2211yescharacteristic
50#16811344—21no—
51#16811343C2211yescharacteristic
52#16811342C2211yescharacteristic
53#16811342C2211yescharacteristic
54#16811341—21no—
55#16811340—21no—
56#16811340—21no—
57C4⋊Q8×D53—21no—
58C4⋊Q8×D53C2211yescharacteristic
59C4⋊Q8×D53C2211yescharacteristic
60#126×D53—21no—
61#126×D53—21no—
62#125×D53—21no—
63#125×D53—21no—
64#125×D53C2211yescharacteristic
65#125×D53C2211yescharacteristic
66#124×D53C2211yescharacteristic
67#124×D53C2211yescharacteristic
68C22⋊Q8×D53—21no—
69C4×Q8×D53—21no—
70C4×Q8×D53C2211yescharacteristic
71C4×Q8×D53C2211yescharacteristic
72C4×Q8×D53C2211yescharacteristic
73C4×Q8×D53C2211yescharacteristic
74C4×Q8×D53C2211yescharacteristic
75C4×Q8×D53C2211yescharacteristic
76C4×D4×D53C2211yescharacteristic
77#117×D53—21no—
78#16810993C2211yescharacteristic, complemented
79#16810992C2211yescharacteristic, complemented
80#16810991C2211yescharacteristic, complemented
81#16810990C2211yescharacteristic, complemented
82#16810990C2211yescharacteristic, complemented
83#16810990C2211yescharacteristic, complemented
84#16810990C2211yescharacteristic, complemented
85#16810985C2211yescharacteristic
86#16810984C2211yescharacteristic
87#16810984C2211yescharacteristic
88#16810983C2211yescharacteristic
89#16810982C2211yescharacteristic
90#16810981C2211yescharacteristic
91#16810981C2211yescharacteristic
92#16810980C2211yescharacteristic
93#16810979C2211yescharacteristic
94#16810979C2211yescharacteristic
95#16810978C2211yescharacteristic
96#16810977C2211yescharacteristic
97#16810976C2211yescharacteristic
98#16810976C2211yescharacteristic
99#16810933C2211yescharacteristic, complemented
100#16810932C2211yescharacteristic, complemented
101#16810931C2211yescharacteristic, complemented
102#16810930C2211yescharacteristic, complemented
103#16810929C2211yescharacteristic, complemented
104#16810928C2211yescharacteristic, complemented
105#16810927C2211yescharacteristic, complemented
106#16810926C2211yescharacteristic
107#16810925C2211yescharacteristic
108#16810924C2211yescharacteristic
109#16810923C2211yescharacteristic
110#16810922C2211yescharacteristic
111#16810921C2211yescharacteristic
112#16810920C2211yescharacteristic
113#16810919C2211yescharacteristic, complemented
114#16810918C2211yescharacteristic, complemented
115#16810917C2211yescharacteristic, complemented
116#16810917C2211yescharacteristic, complemented
117#16810916C2211yescharacteristic, complemented
118#16810916C2211yescharacteristic, complemented
119#16810915C2211yescharacteristic, complemented
120#16810848C2211yescharacteristic
121#16810848C2211yescharacteristic
122#16810847C2211yescharacteristic
123#16810847C2211yescharacteristic
124#16810846C2211yescharacteristic
125#16810846C2211yescharacteristic
126#16810845C2211yescharacteristic
127#16810845C2211yescharacteristic
128#16810844C2211yescharacteristic
129#16810844C2211yescharacteristic
130#16810843C2211yescharacteristic
131#16810843C2211yescharacteristic
132#16810842C2211yescharacteristic
133#16810842C2211yescharacteristic
134#16810834C2211yescharacteristic, complemented
135#16810833C2211yescharacteristic, complemented
136#16810832C2211yescharacteristic, complemented
137#16810832C2211yescharacteristic, complemented
138#16810831C2211yescharacteristic, complemented
139#16810831C2211yescharacteristic, complemented
140#16810830C2211yescharacteristic, complemented
141#16810754C2211yescharacteristic, complemented
142#16810753C2211yescharacteristic, complemented
143#16810752C2211yescharacteristic, complemented
144#16810752C2211yescharacteristic, complemented
145#16810751C2211yescharacteristic, complemented
146#16810751C2211yescharacteristic, complemented
147#16810750C2211yescharacteristic, complemented
148#16810731C2211yescharacteristic, complemented
149#16810730C2211yescharacteristic, complemented
150#16810729C2211yescharacteristic, complemented
151#16810728C2211yescharacteristic, complemented
152#16810728C2211yescharacteristic, complemented
153#16810727C2211yescharacteristic, complemented
154#16810727C2211yescharacteristic, complemented
155#16810726C2211yescharacteristic
156#16810725C2211yescharacteristic
157#16810724C2211yescharacteristic
158#16810723C2211yescharacteristic
159#16810722C2211yescharacteristic
160#16810721C2211yescharacteristic
161#16810720C2211yescharacteristic
162C4×Dic212C2211yescharacteristic, complemented
163Q16×Dic53C2211yescharacteristic, complemented
164#16810717C2211yescharacteristic, complemented
165C4×#11719925C2211yescharacteristic, complemented
166C4×#11719925C2211yescharacteristic, complemented
167#16810715C2211yescharacteristic, complemented
168#16810715C2211yescharacteristic, complemented
169#107×D53C2211yescharacteristic
170#107×D53C2211yescharacteristic
171#106×D53C2211yescharacteristic
172C4⋊C8×D53C2211yescharacteristic
173C4⋊C8×D53C2211yescharacteristic
174C4⋊C8×D53C2211yescharacteristic
175#103×D53C2211yescharacteristic
176#103×D53C2211yescharacteristic
177#103×D53C2211yescharacteristic
178#103×D53C2211yescharacteristic
179#103×D53C2211yescharacteristic
180#103×D53C2211yescharacteristic
181#103×D53C2211yescharacteristic
182#102×D53C2211yescharacteristic
183#102×D53C2211yescharacteristic
184#102×D53C2211yescharacteristic
185#97×D53C2211yescharacteristic
186#97×D53C2211yescharacteristic
187C4×C8×D53C2211yescharacteristic
188C53×#557C2211yescharacteristic, complemented
189C53×#556C2211yescharacteristic
190C53×#491C2211yescharacteristic, complemented
191C53×#489C2211yescharacteristic
192C53×#488C2211yescharacteristic
193C53×#479C2211yescharacteristic, complemented
194C53×#478C2211yescharacteristic
195C53×#477C2211yescharacteristic, complemented
196C53×#464C2211yescharacteristic
197C53×#464C2211yescharacteristic
198C53×#462C2211yescharacteristic, complemented
199C53×#446C2211yescharacteristic, complemented
200C53×#441C2211yescharacteristic, complemented
201C53×#440C2211yescharacteristic
202C4×Q16×C53C2211yescharacteristic, complemented
203C2×Q8×D53—21no—
204C2×Q8×D53D411yescharacteristic
205C2×Q8×D53C2311yescharacteristic
206C2×Q8×D53C2311yescharacteristic
207C2×Q8×D53C2311yescharacteristic
208C2×D4×D53C2311yescharacteristic
209C22×C4×D53—21no—
210C2×Dic212C2311yescharacteristic
211C2×Dic212C2311yescharacteristic
212C2×#11719925C2311yescharacteristic
213C2×#11719925C2311yescharacteristic
214C2×#11719925C2311yescharacteristic
215C2×#11719925C2311yescharacteristic
216Q16×D53—24no—
217Q16×D53—24no—
218C2×#11719913C2311yescharacteristic
219C2×#11719923C2311yescharacteristic
220C2×#11719924C2311yescharacteristic
221SD16×D53—24no—
222C2×C8×D53C2311yescharacteristic
223C2×C8×D53C2311yescharacteristic
224C2×C8×D53C2311yescharacteristic
225C2×C8×D53C2311yescharacteristic
226#13133217—21no—
227#13133217C2311yescharacteristic
228#13133217C2311yescharacteristic
229#13133216—21no—
230#13133216—21no—
231#13133216—21no—
232#13133216—21no—
233#13133216—21no—
234#13133216—21no—
235#13133216—21no—
236#13133216C2311yescharacteristic
237#13133216C2311yescharacteristic
238#13133215—21no—
239#13133215—21no—
240#13133215—21no—
241#13133215C2311yescharacteristic
242#13133215C2311yescharacteristic
243#13133212—21no—
244#13133212—21no—
245#13133212—21no—
246#13133212—21no—
247#13133212—21no—
248#13133212—21no—
249#13133211—21no—
250#13133211—21no—
251#13133210—21no—
252#13133210—21no—
253#13133210—21no—
254#13133210—21no—
255#13133210—21no—
256#13133210—21no—
257#13133209—21no—
258#13133209—21no—
259#13133209C2311yescharacteristic
260#13133209C2311yescharacteristic
261#13133208—21no—
262#13133208—21no—
263#13133208—21no—
264#13133208—21no—
265#13133208C2311yescharacteristic
266#13133208C2311yescharacteristic
267#13133208C2311yescharacteristic
268#13133208C2311yescharacteristic
269#13133207—21no—
270#13133207—21no—
271#13133207—21no—
272#13133207—21no—
273#13133207—21no—
274#13133207—21no—
275#13133207—21no—
276#13133207—21no—
277#13133207—21no—
278#13133207—21no—
279#13133207—21no—
280#13133207—21no—
281#13133206C2311yescharacteristic
282#13133206C2311yescharacteristic
283#13133205C2311yescharacteristic
284#13133205C2311yescharacteristic
285#13133204C2311yescharacteristic
286#13133204C2311yescharacteristic
287#13133203—21no—
288#13133203—21no—
289#13133203—21no—
290#13133203—21no—
291#13133197—21no—
292#13133196—21no—
293#13133195—21no—
294#13133195—21no—
295#13133194—21no—
296#13133194—21no—
297#13133193—21no—
298Q8×Dic53—21no—
299Q8×Dic53D411yescharacteristic
300Q8×Dic53C2311yescharacteristic
301Q8×Dic53C2311yescharacteristic
302Q8×Dic53C2311yescharacteristic
303Q8×Dic53C2311yescharacteristic
304Q8×Dic53C2311yescharacteristic
305C4×Dic106—21no—
306C4×Dic106—21no—
307C4×Dic106—21no—
308C4×Dic106—21no—
309C4×Dic106—21no—
310C4×Dic106—21no—
311C4×Dic106—21no—
312C4×Dic106—21no—
313C4×Dic106C2311yescharacteristic
314C4×Dic106C2311yescharacteristic
315C4×Dic106C2311yescharacteristic
316C4×Dic106C2311yescharacteristic
317C4×Dic106C2311yescharacteristic
318C4×Dic106C2311yescharacteristic
319C4×Dic106C2311yescharacteristic
320C4×Dic106C2311yescharacteristic
321#13133182—21no—
322#13133182—21no—
323#13133182—21no—
324#13133182—21no—
325#13133182—21no—
326#13133182—21no—
327#13133182—21no—
328#13133182—21no—
329#13133182D411yescharacteristic
330#13133182D411yescharacteristic
331#13133182D411yescharacteristic
332#13133182C2311yescharacteristic
333#13133182C2311yescharacteristic
334#13133182C2311yescharacteristic
335#13133182C2311yescharacteristic
336#13133182C2311yescharacteristic
337C4×D212C2311yescharacteristic
338D4×Dic53C2311yescharacteristic
339#13133179C2311yescharacteristic
340C4×C22⋊D53—21no—
341#13133177—21no—
342#13133176—21no—
343#13133175—21no—
344#13133175—21no—
345#13133174—21no—
346#13133174—21no—
347#13133173—21no—
348#13133173—21no—
349C4⋊C4×D53—21no—
350C4⋊C4×D53—21no—
351C4⋊C4×D53—21no—
352C4⋊C4×D53—21no—
353C4⋊C4×D53—21no—
354C4⋊C4×D53—21no—
355C4⋊C4×D53—21no—
356C4⋊C4×D53—21no—
357C4⋊C4×D53—21no—
358C4⋊C4×D53—21no—
359C4⋊C4×D53—21no—
360C4⋊C4×D53—21no—
361C4⋊C4×D53D411yescharacteristic
362C4⋊C4×D53D411yescharacteristic
363C4⋊C4×D53D411yescharacteristic
364C4⋊C4×D53C2311yescharacteristic
365C4⋊C4×D53C2311yescharacteristic
366C4⋊C4×D53C2311yescharacteristic
367C4⋊C4×D53C2311yescharacteristic
368C22⋊C4×D53—21no—
369C22⋊C4×D53—21no—
370C22⋊C4×D53—21no—
371C22⋊C4×D53—21no—
372C22⋊C4×D53—21no—
373C42×D53—21no—
374C42×D53—21no—
375C42×D53—21no—
376C42×D53—21no—
377C42×D53—21no—
378C42×D53C2311yescharacteristic
379C42×D53C2311yescharacteristic
380C42×D53C2311yescharacteristic
381#13133151C2311yescharacteristic
382#13133151C2311yescharacteristic
383#13133150C2311yescharacteristic
384#13133150C2311yescharacteristic
385#13133150C2311yescharacteristic
386#13133150C2311yescharacteristic
387#13133149C2311yescharacteristic
388#13133148C2311yescharacteristic
389#13133148C2311yescharacteristic
390C4⋊#88322C2311yescharacteristic
391C4⋊#88322C2311yescharacteristic
392C4⋊#88322C2311yescharacteristic
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#13133142C2311yescharacteristic
406#13133141C2311yescharacteristic
407#13133141C2311yescharacteristic
408#13133141C2311yescharacteristic
409#13133141C2311yescharacteristic
410#13133141C2311yescharacteristic
411#13133141C2311yescharacteristic
412#13133141C2311yescharacteristic
413#13133140C2311yescharacteristic
414#13133140C2311yescharacteristic
415#13133140C2311yescharacteristic
416#13133140C2311yescharacteristic
417#13133140C2311yescharacteristic
418#13133140C2311yescharacteristic
419#13133140C2311yescharacteristic
420#13133139C2311yescharacteristic
421#13133139C2311yescharacteristic
422#13133139C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133138C2311yescharacteristic
425#13133138C2311yescharacteristic
426#13133137C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429#13133128C2311yescharacteristic
430#13133128C2311yescharacteristic
431#13133127C2311yescharacteristic
432#13133127C2311yescharacteristic
433#13133127C2311yescharacteristic
434#13133127C2311yescharacteristic
435C4×#88322C2311yescharacteristic
436C8×Dic53C2311yescharacteristic
437C8×Dic53C2311yescharacteristic
438C2×Q16×C53C2311yescharacteristic
439C2×Q16×C53C2311yescharacteristic
440C2×SD16×C53C2311yescharacteristic
441C4⋊Q8×C53—21no—
442C4⋊Q8×C53C2311yescharacteristic
443C4⋊Q8×C53C2311yescharacteristic
444#126×C53—21no—
445#126×C53—21no—
446#125×C53—21no—
447#125×C53—21no—
448#125×C53C2311yescharacteristic
449#125×C53C2311yescharacteristic
450#124×C53C2311yescharacteristic
451#124×C53C2311yescharacteristic
452C22⋊Q8×C53—21no—
453C4×Q8×C53—21no—
454C4×Q8×C53C2311yescharacteristic
455C4×Q8×C53C2311yescharacteristic
456C4×Q8×C53C2311yescharacteristic
457C4×Q8×C53C2311yescharacteristic
458C4×Q8×C53C2311yescharacteristic
459C4×Q8×C53C2311yescharacteristic
460C4×D4×C53C2311yescharacteristic
461#117×C53—21no—
462#107×C53C2311yescharacteristic
463#107×C53C2311yescharacteristic
464#106×C53C2311yescharacteristic
465C4⋊C8×C53C2311yescharacteristic
466C4⋊C8×C53C2311yescharacteristic
467C4⋊C8×C53C2311yescharacteristic
468#103×C53C2311yescharacteristic
469#103×C53C2311yescharacteristic
470#103×C53C2311yescharacteristic
471#103×C53C2311yescharacteristic
472#103×C53C2311yescharacteristic
473#103×C53C2311yescharacteristic
474#103×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477#102×C53C2311yescharacteristic
478#97×C53C2311yescharacteristic
479#97×C53C2311yescharacteristic
480C4×C8×C53C2311yescharacteristic
481C23×D53—21no—
482C2×Q8×C53—21no—
483C2×Q8×C53C2×D411yescharacteristic
484C2×Q8×C53C2411yescharacteristic
485C2×Q8×C53C2411yescharacteristic
486C2×Q8×C53C2411yescharacteristic
487C2×D4×C53C2411yescharacteristic
488C22×C4×C53—21no—
489C2×C22⋊D53—21no—
490C22×Dic53—21no—
491Q8×D53—22no—
492Q8×D53—22no—
493Q8×D53—22no—
494Q8×D53—22no—
495Q8×D53—22no—
496Q8×D53—42no—
497Q8×D53—44no—
498Q8×D53#4114yes—
499D4×D53—22no—
500D4×D53—22no—
501C2×D212C2411yescharacteristic
502C2×C4×D53—21no—
503C2×C4×D53—21no—
504C2×C4×D53—21no—
505C2×C4×D53—21no—
506C2×C4×D53—21no—
507C2×C4×D53—21no—
508C2×C4×D53—21no—
509C2×C4×D53—21no—
510C2×C4×D53—21no—
511C2×C4×D53—44no—
512C2×C4×D53C2×D411yescharacteristic
513C2×C4×D53C2×D411yescharacteristic
514C2×C4×D53C2×D411yescharacteristic
515C2×C4×D53C2×D411yescharacteristic
516C2×C4×D53C2×D411yescharacteristic
517C2×C4×D53C2×D411yescharacteristic
518C2×C4×D53C2411yescharacteristic
519C2×Dic106—21no—
520C2×Dic106—21no—
521C2×Dic106—21no—
522C2×Dic106—21no—
523C2×Dic106—21no—
524C2×Dic106—21no—
525C2×Dic106C2×D411yescharacteristic
526C2×Dic106C2×D411yescharacteristic
527C2×Dic106C2×D411yescharacteristic
528C2×Dic106C2411yescharacteristic
529C2×Dic106C2411yescharacteristic
530C2×Dic106C2411yescharacteristic
531Q16×C53—22no—
532Q16×C53—22no—
533SD16×C53—22no—
534C2×C8×C53C2411yescharacteristic
535C2×C8×C53C2411yescharacteristic
536C2×C8×C53C2411yescharacteristic
537C2×C8×C53C2411yescharacteristic
538C4⋊C4×C53—21no—
539C4⋊C4×C53—21no—
540C4⋊C4×C53—21no—
541C4⋊C4×C53—21no—
542C4⋊C4×C53—21no—
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×C53C2×D411yescharacteristic
551C4⋊C4×C53C2×D411yescharacteristic
552C4⋊C4×C53C2×D411yescharacteristic
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—
562C42×C53—21no—
563C42×C53—21no—
564C42×C53—21no—
565C42×C53—21no—
566C42×C53—21no—
567C42×C53C2411yescharacteristic
568C42×C53C2411yescharacteristic
569C42×C53C2411yescharacteristic
570C22⋊Dic53—21no—
571C22⋊Dic53—21no—
572C22⋊Dic53—21no—
573C22⋊Dic53—21no—
574C22⋊Dic53—21no—
575#11719925—22no—
576#11719925—22no—
577#11719925—22no—
578#11719925—22no—
579#11719924—22no—
580#11719923—22no—
581#11719921—21no—
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—
591C4⋊Dic53—21no—
592C4⋊Dic53—21no—
593C4⋊Dic53—21no—
594C4⋊Dic53—21no—
595C4⋊Dic53—21no—
596C4⋊Dic53—21no—
597C4⋊Dic53—21no—
598C4⋊Dic53—21no—
599C4⋊Dic53—21no—
600C4⋊Dic53—21no—
601C4⋊Dic53—21no—
602C4⋊Dic53—21no—
603C4⋊Dic53C2×D411yescharacteristic
604C4⋊Dic53C2×D411yescharacteristic
605C4⋊Dic53C2×D411yescharacteristic
606C4⋊Dic53C2411yescharacteristic
607C4⋊Dic53C2411yescharacteristic
608C4⋊Dic53C2411yescharacteristic
609C4⋊Dic53C2411yescharacteristic
610#11719919—21no—
611#11719919—21no—
612#11719919—21no—
613#11719919—21no—
614#11719919—21no—
615#11719919—21no—
616#11719919—21no—
617#11719919—21no—
618#11719919—21no—
619#11719919—21no—
620#11719919—21no—
621#11719919—21no—
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#11719919C2×D411yescharacteristic
639#11719919C2×D411yescharacteristic
640#11719919C2×D411yescharacteristic
641#11719919C2×D411yescharacteristic
642#11719919C2×D411yescharacteristic
643#11719919C2×D411yescharacteristic
644C4×Dic53—21no—
645C4×Dic53—21no—
646C4×Dic53—21no—
647C4×Dic53—21no—
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×Dic53—21no—
657C4×Dic53—21no—
658C4×Dic53—21no—
659C4×Dic53C2×D411yescharacteristic
660C4×Dic53C2×D411yescharacteristic
661C4×Dic53C2×D411yescharacteristic
662C4×Dic53C2×D411yescharacteristic
663C4×Dic53C2×D411yescharacteristic
664C4×Dic53C2×D411yescharacteristic
665C4×Dic53C2411yescharacteristic
666C4×Dic53C2411yescharacteristic
667C4×Dic53C2411yescharacteristic
668C2×#88322C2411yescharacteristic
669C2×#88322C2411yescharacteristic
670C2×#88322C2411yescharacteristic
671C2×#88322C2411yescharacteristic
672Dic212—22no—
673Dic212—22no—
674#11719913—22no—
675C8×D53—22no—
676C8×D53—22no—
677C8×D53—22no—
678C8×D53—22no—
679C23×C53—21no—
680C22×D53—21no—
681C22×D53—42no—
682C22×D53—42no—
683C22×D53—42no—
684C22×D53C22×D411yescharacteristic
685Q8×C53—21no—
686Q8×C53—21no—
687Q8×C53—21no—
688Q8×C53—21no—
689Q8×C53—21no—
690Q8×C53—41no—
691Q8×C53—42no—
692Q8×C53C2×#4112yes—
693D4×C53—21no—
694D4×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—42no—
703C2×C4×C53C22×D411yescharacteristic
704C2×C4×C53C22×D411yescharacteristic
705C2×C4×C53C22×D411yescharacteristic
706C2×C4×C53C22×D411yescharacteristic
707C2×C4×C53C22×D411yescharacteristic
708C2×C4×C53C22×D411yescharacteristic
709C2×C4×C53C2511yescharacteristic
710C22⋊D53—42no—
711C2×Dic53—21no—
712C2×Dic53—21no—
713C2×Dic53—21no—
714C2×Dic53—21no—
715C2×Dic53—21no—
716C2×Dic53—21no—
717C2×Dic53—21no—
718C2×Dic53—42no—
719C2×Dic53C22×D411yescharacteristic
720C2×Dic53C22×D411yescharacteristic
721C2×Dic53C22×D411yescharacteristic
722C2×Dic53C22×D411yescharacteristic
723C2×Dic53C22×D411yescharacteristic
724C2×Dic53C22×D411yescharacteristic
725C2×Dic53C22×D411yescharacteristic
726D212—21no—
727D212—21no—
728C4×D53—24no—
729C4×D53—22no—
730C4×D53—22no—
731C4×D53—22no—
732C4×D53—22no—
733C4×D53—22no—
734C4×D53—22no—
735C4×D53—42no—
736C4×D53—42no—
737C4×D53—42no—
738C4×D53—42no—
739C4×D53—42no—
740C4×D53—42no—
741C4×D53—42no—
742C4×D53—42no—
743C4×D53C2×#4112yes—
744C4×D532−1+412yes—
745Dic106—21no—
746Dic106—24no—
747Dic106—21no—
748Dic106—21no—
749Dic106—21no—
750Dic106—21no—
751Dic106—41no—
752Dic106—41no—
753Dic106—41no—
754Dic106—42no—
755Dic106—42no—
756Dic106—42no—
757Dic106—42no—
758Dic106—42no—
759Dic106C2×#4112yes—
760C8×C53—21no—
761C8×C53—21no—
762C8×C53—21no—
763C8×C53—21no—
764#88322—21no—
765#88322—21no—
766#88322—21no—
767#88322—21no—
768C2×#3377—531nomaximal, Sylow
769C22×C53—41no—
770C22×C53—41no—
771C22×C53—41no—
772C22×C53C23×D411yescharacteristic
773C2×D53—41no—
774C2×D53—41no—
775C2×D53—41no—
776C2×D53—84no—
777C2×D53#54812yes—
778C2×D53#57512yes—
779C2×D53#57812yes—
780C4×C53—22no—
781C4×C53—21no—
782C4×C53—21no—
783C4×C53—21no—
784C4×C53—21no—
785C4×C53—21no—
786C4×C53—21no—
787C4×C53—41no—
788C4×C53—41no—
789C4×C53—41no—
790C4×C53—41no—
791C4×C53—41no—
792C4×C53—41no—
793C4×C53C22×#4111yescharacteristic
794C4×C53C2×2−1+411yescharacteristic
795Dic53—22no—
796Dic53—21no—
797Dic53—21no—
798Dic53—21no—
799Dic53—21no—
800Dic53—21no—
801Dic53—21no—
802Dic53—41no—
803Dic53—41no—
804Dic53—41no—
805Dic53—41no—
806Dic53—41no—
807Dic53—41no—
808Dic53#54812yes—
809C2×#557—531no—
810C2×#556—531no—
811#3377—531no—
812#3377—531no—
813#3377—531no—
814#3377—531no—
815#3377—531no—
816#3377—531no—
817#3377—531no—
818#3377—531no—
819#3377—531no—
820#3377—531no—
821#3377—531no—
822#3377—531no—
823#3377—531no—
824#3377—531no—
825#3377—531no—
826#3377D5311yescharacteristic, direct product factor
827C2×#491—531no—
828C2×#489—531no—
829C2×#488—531no—
830C2×#479—531no—
831C2×#477—531no—
832C2×#478—531no—
833C2×#464—531no—
834C2×#464—531no—
835C2×#462—531no—
836C2×#446—531no—
837C2×#441—531no—
838C2×#440—531no—
839C2×C4×Q16—531no—
840C2×C53—81no—
841C2×C53C2×#54811yescharacteristic
842C2×C53C2×#57511yescharacteristic
843C2×C53C2×#57811yescharacteristic
844D53—81no—
845D53#337714yesdirect product factor
846C22×Q16—531no—
847C22×Q16—531no—
848C22×SD16—531no—
849#557—531no—
850#557—531no—
851#557—531no—
852#557—531no—
853#557—531no—
854#557—531no—
855#557—531no—
856#557—1061no—
857#557—1061no—
858#557—1061no—
859#557—1061no—
860#557C2×D5311yescharacteristic, complemented
861#556—531no—
862#556—531no—
863#556—531no—
864#556—531no—
865#556—531no—
866#556—531no—
867#556—531no—
868#556—1061no—
869#556—1061no—
870#556—1061no—
871#556—1061no—
872#556C2×D5311yescharacteristic
873C2×C4⋊Q8—531no—
874C2×C4⋊Q8—531no—
875C2×C4⋊Q8—1061no—
876C2×#126—1061no—
877C2×#126—1061no—
878C2×#125—531no—
879C2×#125—531no—
880C2×#125—1061no—
881C2×#125—1061no—
882C2×#124—531no—
883C2×#124—531no—
884C2×C22⋊Q8—1061no—
885C2×C4×Q8—531no—
886C2×C4×Q8—531no—
887C2×C4×Q8—531no—
888C2×C4×Q8—531no—
889C2×C4×Q8—531no—
890C2×C4×Q8—531no—
891C2×C4×Q8—1061no—
892C2×C4×D4—531no—
893C2×#117—1061no—
894#491—531no—
895#491—531no—
896#491—531no—
897#491—531no—
898#491—531no—
899#491—531no—
900#491—531no—
901#491C2×D5311yescharacteristic, complemented
902#489—531no—
903#489—531no—
904#489—531no—
905#489—531no—
906#489—531no—
907#489—531no—
908#489—531no—
909#489C2×D5311yescharacteristic
910#488—531no—
911#488—531no—
912#488—531no—
913#488—531no—
914#488—531no—
915#488—531no—
916#488—531no—
917#488C2×D5311yescharacteristic
918#479—531no—
919#479—531no—
920#479—531no—
921#479—531no—
922#479—531no—
923#479—531no—
924#479—531no—
925#479C2×D5311yescharacteristic, complemented
926#478—531no—
927#478—531no—
928#478—531no—
929#478—531no—
930#478—531no—
931#478—531no—
932#478—531no—
933#478C2×D5311yescharacteristic
934#477—531no—
935#477—531no—
936#477—531no—
937#477—531no—
938#477—531no—
939#477—531no—
940#477—531no—
941#477C2×D5311yescharacteristic, complemented
942#464—531no—
943#464—531no—
944#464—531no—
945#464—531no—
946#464—531no—
947#464—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#464C2×D5311yescharacteristic
957#464C2×D5311yescharacteristic
958#462—531no—
959#462—531no—
960#462—531no—
961#462—531no—
962#462—531no—
963#462—531no—
964#462—531no—
965#462C2×D5311yescharacteristic, complemented
966#446—531no—
967#446—531no—
968#446—531no—
969#446—531no—
970#446—531no—
971#446—531no—
972#446—531no—
973#446C2×D5311yescharacteristic, complemented
974#441—531no—
975#441—531no—
976#441—531no—
977#441—531no—
978#441—531no—
979#441—531no—
980#441—531no—
981#441C2×D5311yescharacteristic, complemented
982#440—531no—
983#440—531no—
984#440—531no—
985#440—531no—
986#440—531no—
987#440—531no—
988#440—531no—
989#440C2×D5311yescharacteristic
990C4×Q16—531no—
991C4×Q16—531no—
992C4×Q16—531no—
993C4×Q16—531no—
994C4×Q16—531no—
995C4×Q16—531no—
996C4×Q16—531no—
997C4×Q16C2×D5311yescharacteristic, complemented
998C2×#107—531no—
999C2×#107—531no—
1000C2×#106—531no—
1001C2×C4⋊C8—531no—
1002C2×C4⋊C8—531no—
1003C2×C4⋊C8—531no—
1004C2×#103—531no—
1005C2×#103—531no—
1006C2×#103—531no—
1007C2×#103—531no—
1008C2×#103—531no—
1009C2×#103—531no—
1010C2×#103—531no—
1011C2×#102—531no—
1012C2×#102—531no—
1013C2×#102—531no—
1014C2×#97—531no—
1015C2×#97—531no—
1016C2×C4×C8—531no—
1017C53C2×#337711yescharacteristic, complemented, Sylow
1018C22×Q8—531no—
1019C22×Q8—531no—
1020C22×Q8—531no—
1021C22×Q8—531no—
1022C22×Q8—1061no—
1023C22×D4—531no—
1024C23×C4—1061no—
1025C2×Q16—531no—
1026C2×Q16—531no—
1027C2×Q16—531no—
1028C2×Q16—531no—
1029C2×Q16—531no—
1030C2×Q16—531no—
1031C2×Q16—1064no—
1032C2×Q16—1064no—
1033C2×Q16C22×D5311yescharacteristic
1034C2×Q16C22×D5311yescharacteristic
1035C2×SD16—531no—
1036C2×SD16—531no—
1037C2×SD16—531no—
1038C2×SD16—1064no—
1039C2×SD16C22×D5311yescharacteristic
1040C22×C8—531no—
1041C22×C8—531no—
1042C22×C8—531no—
1043C22×C8—531no—
1044C4⋊Q8—21no—
1045C4⋊Q8—531no—
1046C4⋊Q8—531no—
1047C4⋊Q8—531no—
1048C4⋊Q8—531no—
1049C4⋊Q8—531no—
1050C4⋊Q8—531no—
1051C4⋊Q8—1061no—
1052C4⋊Q8—1061no—
1053C4⋊Q8—1061no—
1054C4⋊Q8—1061no—
1055C4⋊Q8—1061no—
1056C4⋊Q8—1061no—
1057C4⋊Q8—1061no—
1058C4⋊Q8—1061no—
1059C4⋊Q8—1061no—
1060C4⋊Q8—1061no—
1061C4⋊Q8—1061no—
1062C4⋊Q8C22×D5311yescharacteristic
1063C4⋊Q8C22×D5311yescharacteristic
1064#126—21no—
1065#126—21no—
1066#126—1061no—
1067#126—1061no—
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#125—21no—
1081#125—21no—
1082#125—531no—
1083#125—531no—
1084#125—531no—
1085#125—531no—
1086#125—531no—
1087#125—531no—
1088#125—1061no—
1089#125—1061no—
1090#125—1061no—
1091#125—1061no—
1092#125—1061no—
1093#125—1061no—
1094#125—1061no—
1095#125—1061no—
1096#125—1061no—
1097#125—1061no—
1098#125—1061no—
1099#125—1061no—
1100#125—1061no—
1101#125—1061no—
1102#125—1061no—
1103#125—1061no—
1104#125—1061no—
1105#125—1061no—
1106#125C22×D5311yescharacteristic
1107#125C22×D5311yescharacteristic
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#124C22×D5311yescharacteristic
1119#124C22×D5311yescharacteristic
1120C22⋊Q8—21no—
1121C22⋊Q8—1061no—
1122C22⋊Q8—1061no—
1123C22⋊Q8—1061no—
1124C22⋊Q8—1061no—
1125C22⋊Q8—1061no—
1126C22⋊Q8—1061no—
1127C22⋊Q8—1061no—
1128C4×Q8—21no—
1129C4×Q8—531no—
1130C4×Q8—531no—
1131C4×Q8—531no—
1132C4×Q8—531no—
1133C4×Q8—531no—
1134C4×Q8—531no—
1135C4×Q8—531no—
1136C4×Q8—531no—
1137C4×Q8—531no—
1138C4×Q8—531no—
1139C4×Q8—531no—
1140C4×Q8—531no—
1141C4×Q8—531no—
1142C4×Q8—531no—
1143C4×Q8—531no—
1144C4×Q8—531no—
1145C4×Q8—531no—
1146C4×Q8—531no—
1147C4×Q8—531no—
1148C4×Q8—531no—
1149C4×Q8—531no—
1150C4×Q8—531no—
1151C4×Q8—1061no—
1152C4×Q8—1061no—
1153C4×Q8—1061no—
1154C4×Q8—1061no—
1155C4×Q8—1061no—
1156C4×Q8—1061no—
1157C4×Q8—1061no—
1158C4×Q8—1061no—
1159C4×Q8—1061no—
1160C4×Q8—1061no—
1161C4×Q8—1061no—
1162C4×Q8—1061no—
1163C4×Q8—1061no—
1164C4×Q8—1061no—
1165C4×Q8—1061no—
1166C4×Q8—1061no—
1167C4×Q8—1061no—
1168C4×Q8C22×D5311yescharacteristic
1169C4×Q8C22×D5311yescharacteristic
1170C4×Q8C22×D5311yescharacteristic
1171C4×Q8C22×D5311yescharacteristic
1172C4×Q8C22×D5311yescharacteristic
1173C4×Q8C22×D5311yescharacteristic
1174C4×D4—531no—
1175C4×D4—531no—
1176C4×D4—531no—
1177C4×D4—1061no—
1178C4×D4—1061no—
1179C4×D4C22×D5311yescharacteristic
1180#117—21no—
1181#117—1061no—
1182#117—1061no—
1183#117—1061no—
1184#117—1061no—
1185#117—1061no—
1186#117—1061no—
1187#117—1061no—
1188C2×C4⋊C4—531no—
1189C2×C4⋊C4—531no—
1190C2×C4⋊C4—531no—
1191C2×C4⋊C4—531no—
1192C2×C4⋊C4—531no—
1193C2×C4⋊C4—531no—
1194C2×C4⋊C4—531no—
1195C2×C4⋊C4—1061no—
1196C2×C4⋊C4—1061no—
1197C2×C4⋊C4—1061no—
1198C2×C4⋊C4—1061no—
1199C2×C4⋊C4—1061no—
1200C2×C4⋊C4—1061no—
1201C2×C4⋊C4—1061no—
1202C2×C4⋊C4—1061no—
1203C2×C4⋊C4—1061no—
1204C2×C4⋊C4—1061no—
1205C2×C4⋊C4—1061no—
1206C2×C4⋊C4—1061no—
1207C2×C22⋊C4—1061no—
1208C2×C22⋊C4—1061no—
1209C2×C22⋊C4—1061no—
1210C2×C22⋊C4—1061no—
1211C2×C22⋊C4—1061no—
1212C2×C42—531no—
1213C2×C42—531no—
1214C2×C42—531no—
1215C2×C42—1061no—
1216C2×C42—1061no—
1217C2×C42—1061no—
1218C2×C42—1061no—
1219C2×C42—1061no—
1220#107—531no—
1221#107—531no—
1222#107—531no—
1223#107—531no—
1224#107—531no—
1225#107—531no—
1226#107C22×D5311yescharacteristic
1227#107C22×D5311yescharacteristic
1228#106—531no—
1229#106—531no—
1230#106—531no—
1231#106C22×D5311yescharacteristic
1232C4⋊C8—531no—
1233C4⋊C8—531no—
1234C4⋊C8—531no—
1235C4⋊C8—531no—
1236C4⋊C8—531no—
1237C4⋊C8—531no—
1238C4⋊C8—531no—
1239C4⋊C8—531no—
1240C4⋊C8—531no—
1241C4⋊C8C22×D5311yescharacteristic
1242C4⋊C8C22×D5311yescharacteristic
1243C4⋊C8C22×D5311yescharacteristic
1244#103—531no—
1245#103—531no—
1246#103—531no—
1247#103—531no—
1248#103—531no—
1249#103—531no—
1250#103—531no—
1251#103—531no—
1252#103—531no—
1253#103—531no—
1254#103—531no—
1255#103—531no—
1256#103—531no—
1257#103—531no—
1258#103—531no—
1259#103—531no—
1260#103—531no—
1261#103—531no—
1262#103—531no—
1263#103—531no—
1264#103—531no—
1265#103C22×D5311yescharacteristic
1266#103C22×D5311yescharacteristic
1267#103C22×D5311yescharacteristic
1268#103C22×D5311yescharacteristic
1269#103C22×D5311yescharacteristic
1270#103C22×D5311yescharacteristic
1271#103C22×D5311yescharacteristic
1272#102—531no—
1273#102—531no—
1274#102—531no—
1275#102—531no—
1276#102—531no—
1277#102—531no—
1278#102—531no—
1279#102—531no—
1280#102—531no—
1281#102C22×D5311yescharacteristic
1282#102C22×D5311yescharacteristic
1283#102C22×D5311yescharacteristic
1284#97—531no—
1285#97—531no—
1286#97—531no—
1287#97—531no—
1288#97—531no—
1289#97—531no—
1290#97C22×D5311yescharacteristic
1291#97C22×D5311yescharacteristic
1292C4×C8—531no—
1293C4×C8—531no—
1294C4×C8—531no—
1295C4×C8C22×D5311yescharacteristic
1296C24—1061no—
1297C2×Q8—21no—
1298C2×Q8—531no—
1299C2×Q8—531no—
1300C2×Q8—531no—
1301C2×Q8—534no—
1302C2×Q8—531no—
1303C2×Q8—531no—
1304C2×Q8—531no—
1305C2×Q8—1061no—
1306C2×Q8—1061no—
1307C2×Q8—1061no—
1308C2×Q8—1061no—
1309C2×Q8—1061no—
1310C2×Q8—1062no—
1311C2×Q8—1062no—
1312C2×Q8—1062no—
1313C2×Q8—1062no—
1314C2×Q8—1062no—
1315C2×Q8—1061no—
1316C2×Q8—2122no—
1317C2×Q8—2124no—
1318C2×Q8D4×D5311yescharacteristic
1319C2×Q8C23×D5311yescharacteristic
1320C2×Q8C23×D5311yescharacteristic
1321C2×Q8C23×D5311yescharacteristic
1322C2×D4—531no—
1323C2×D4—1062no—
1324C2×D4—1062no—
1325C2×D4—1061no—
1326C2×D4C23×D5311yescharacteristic
1327C22×C4—21no—
1328C22×C4—531no—
1329C22×C4—531no—
1330C22×C4—531no—
1331C22×C4—531no—
1332C22×C4—531no—
1333C22×C4—531no—
1334C22×C4—531no—
1335C22×C4—1061no—
1336C22×C4—1061no—
1337C22×C4—1061no—
1338C22×C4—1061no—
1339C22×C4—1061no—
1340C22×C4—1061no—
1341C22×C4—1061no—
1342C22×C4—1061no—
1343C22×C4—1061no—
1344C22×C4—1061no—
1345C22×C4—2124no—
1346Q16—22no—
1347Q16—22no—
1348Q16—1062no—
1349Q16—1062no—
1350Q16—1062no—
1351Q16—1062no—
1352Q16—1062no—
1353Q16—1062no—
1354SD16—22no—
1355SD16—1062no—
1356SD16—1062no—
1357SD16—1062no—
1358C2×C8—531no—
1359C2×C8—531no—
1360C2×C8—531no—
1361C2×C8—531no—
1362C2×C8—1062no—
1363C2×C8—1062no—
1364C2×C8—1062no—
1365C2×C8—1062no—
1366C2×C8C23×D5311yescharacteristic
1367C2×C8C23×D5311yescharacteristic
1368C2×C8C23×D5311yescharacteristic
1369C2×C8C23×D5311yescharacteristic
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—21no—
1380C4⋊C4—21no—
1381C4⋊C4—21no—
1382C4⋊C4—531no—
1383C4⋊C4—531no—
1384C4⋊C4—531no—
1385C4⋊C4—531no—
1386C4⋊C4—531no—
1387C4⋊C4—531no—
1388C4⋊C4—531no—
1389C4⋊C4—531no—
1390C4⋊C4—531no—
1391C4⋊C4—531no—
1392C4⋊C4—531no—
1393C4⋊C4—531no—
1394C4⋊C4—531no—
1395C4⋊C4—1061no—
1396C4⋊C4—1061no—
1397C4⋊C4—1061no—
1398C4⋊C4—1061no—
1399C4⋊C4—1061no—
1400C4⋊C4—1061no—
1401C4⋊C4—1061no—
1402C4⋊C4—1061no—
1403C4⋊C4—1061no—
1404C4⋊C4—1061no—
1405C4⋊C4—1061no—
1406C4⋊C4—1061no—
1407C4⋊C4—1061no—
1408C4⋊C4—1061no—
1409C4⋊C4—1061no—
1410C4⋊C4—1061no—
1411C4⋊C4—1061no—
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⋊C4D4×D5311yescharacteristic
1436C4⋊C4D4×D5311yescharacteristic
1437C4⋊C4D4×D5311yescharacteristic
1438C4⋊C4C23×D5311yescharacteristic
1439C4⋊C4C23×D5311yescharacteristic
1440C4⋊C4C23×D5311yescharacteristic
1441C4⋊C4C23×D5311yescharacteristic
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—1061no—
1448C22⋊C4—1061no—
1449C22⋊C4—1061no—
1450C22⋊C4—1061no—
1451C22⋊C4—1061no—
1452C22⋊C4—1061no—
1453C22⋊C4—1061no—
1454C22⋊C4—1061no—
1455C22⋊C4—1061no—
1456C22⋊C4—1061no—
1457C22⋊C4—1061no—
1458C22⋊C4—1061no—
1459C22⋊C4—1061no—
1460C22⋊C4—1061no—
1461C22⋊C4—1061no—
1462C42—21no—
1463C42—21no—
1464C42—21no—
1465C42—21no—
1466C42—21no—
1467C42—531no—
1468C42—531no—
1469C42—531no—
1470C42—531no—
1471C42—531no—
1472C42—531no—
1473C42—531no—
1474C42—531no—
1475C42—531no—
1476C42—1061no—
1477C42—1061no—
1478C42—1061no—
1479C42—1061no—
1480C42—1061no—
1481C42—1061no—
1482C42—1061no—
1483C42—1061no—
1484C42—1061no—
1485C42—1061no—
1486C42—1061no—
1487C42—1061no—
1488C42—1061no—
1489C42—1061no—
1490C42—1061no—
1491C42C23×D5311yescharacteristic
1492C42C23×D5311yescharacteristic
1493C42C23×D5311yescharacteristic
1494C23—21no—
1495C23—531no—
1496C23—1061no—
1497C23—2122no—
1498C23—2122no—
1499C23—2122no—
1500Q8—21no—
1501Q8—21no—
1502Q8—21no—
1503Q8—21no—
1504Q8—21no—
1505Q8—41no—
1506Q8—42no—
1507Q8—532no—
1508Q8—1064no—
1509Q8—1061no—
1510Q8—1061no—
1511Q8—1061no—
1512Q8—1061no—
1513Q8—1061no—
1514Q8—2121no—
1515Q8—2121no—
1516Q8—2121no—
1517Q8—2122no—
1518Q8—2122no—
1519Q8—2122no—
1520Q8—2122no—
1521Q8—2122no—
1522Q8#41×D5312yes—
1523D4—21no—
1524D4—21no—
1525D4—1061no—
1526D4—1061no—
1527D4—2122no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—42no—
1536C2×C4—531no—
1537C2×C4—532no—
1538C2×C4—532no—
1539C2×C4—531no—
1540C2×C4—531no—
1541C2×C4—531no—
1542C2×C4—531no—
1543C2×C4—531no—
1544C2×C4—531no—
1545C2×C4—1062no—
1546C2×C4—1062no—
1547C2×C4—1062no—
1548C2×C4—1062no—
1549C2×C4—1062no—
1550C2×C4—1062no—
1551C2×C4—1064no—
1552C2×C4—1061no—
1553C2×C4—1061no—
1554C2×C4—1061no—
1555C2×C4—1061no—
1556C2×C4—1061no—
1557C2×C4—1061no—
1558C2×C4—1061no—
1559C2×C4—2122no—
1560C2×C4—2122no—
1561C2×C4—2122no—
1562C2×C4—2122no—
1563C2×C4—2122no—
1564C2×C4—2122no—
1565C2×C4—2122no—
1566C2×C4—2122no—
1567C2×C4—2122no—
1568C2×C4C2×D4×D5311yescharacteristic
1569C2×C4C2×D4×D5311yescharacteristic
1570C2×C4C2×D4×D5311yescharacteristic
1571C2×C4C2×D4×D5311yescharacteristic
1572C2×C4C2×D4×D5311yescharacteristic
1573C2×C4C2×D4×D5311yescharacteristic
1574C2×C4C24×D5311yescharacteristic
1575C8—21no—
1576C8—21no—
1577C8—21no—
1578C8—21no—
1579C8—1061no—
1580C8—1061no—
1581C8—1061no—
1582C8—1061no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—532no—
1587C22—532no—
1588C22—532no—
1589C22—4244no—
1590C22—2121no—
1591C22—2121no—
1592C22—2121no—
1593C22C22×D4×D5311yescharacteristic
1594C4—22no—
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—532no—
1608C4—1062no—
1609C4—1061no—
1610C4—1061no—
1611C4—1061no—
1612C4—1061no—
1613C4—1061no—
1614C4—1061no—
1615C4—2121no—
1616C4—2121no—
1617C4—2121no—
1618C4—2121no—
1619C4—2121no—
1620C4—2121no—
1621C4C2×#41×D5311yescharacteristic
1622C42−1+4×D5311yescharacteristic
1623C2—81no—
1624C2—534no—
1625C2—4241no—
1626C2#548×D5311yescharacteristic
1627C2#575×D5311yescharacteristic
1628C2#578×D5311yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3377C2
socleC22×C53C23×D4
prime radicalC2×D4×D53C23
hypercenter#3377D53
hypocenterC53C2×#3377
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3377

Complements

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

NH ≅ G/Ntype
1. #557×D53C2semidirect
3. #20287564C2semidirect
4. #20287563C2semidirect
5. #20287562C2semidirect
6. #20287561C2semidirect
7. #20287560C2semidirect
8. #20287559C2semidirect
9. #20287558C2semidirect
10. #20287557C2semidirect
11. #20287556C2semidirect
12. #20287555C2semidirect
13. #20287554C2semidirect
14. #20287553C2semidirect
15. #20287552C2semidirect
16. #20287551C2semidirect
17. #20287550C2semidirect
18. #491×D53C2semidirect
21. #479×D53C2semidirect
22. #477×D53C2semidirect
26. #462×D53C2semidirect
27. #446×D53C2semidirect
28. #441×D53C2semidirect
30. C4×Q16×D53C2semidirect
31. C53×#3377C2semidirect
35. #16811352C22semidirect
37. #16811351C22semidirect
40. #16811350C22semidirect
41. #16811350C22semidirect
42. #16811349C22semidirect
43. #16811349C22semidirect
45. #16811348C22semidirect
78. #16810993C22semidirect
79. #16810992C22semidirect
80. #16810991C22semidirect
81. #16810990C22semidirect
82. #16810990C22semidirect
83. #16810990C22semidirect
84. #16810990C22semidirect
99. #16810933C22semidirect
100. #16810932C22semidirect
101. #16810931C22semidirect
102. #16810930C22semidirect
103. #16810929C22semidirect
104. #16810928C22semidirect
105. #16810927C22semidirect
113. #16810919C22semidirect
114. #16810918C22semidirect
115. #16810917C22semidirect
116. #16810917C22semidirect
117. #16810916C22semidirect
118. #16810916C22semidirect
119. #16810915C22semidirect
134. #16810834C22semidirect
135. #16810833C22semidirect
136. #16810832C22semidirect
137. #16810832C22semidirect
138. #16810831C22semidirect
139. #16810831C22semidirect
140. #16810830C22semidirect
141. #16810754C22semidirect
142. #16810753C22semidirect
143. #16810752C22semidirect
144. #16810752C22semidirect
145. #16810751C22semidirect
146. #16810751C22semidirect
147. #16810750C22semidirect
148. #16810731C22semidirect
149. #16810730C22semidirect
150. #16810729C22semidirect
151. #16810728C22semidirect
152. #16810728C22semidirect
153. #16810727C22semidirect
154. #16810727C22semidirect
162. C4×Dic212C22semidirect
163. Q16×Dic53C22semidirect
164. #16810717C22semidirect
165. C4×#11719925C22semidirect
166. C4×#11719925C22semidirect
167. #16810715C22semidirect
168. #16810715C22semidirect
188. C53×#557C22semidirect
190. C53×#491C22semidirect
193. C53×#479C22semidirect
195. C53×#477C22semidirect
198. C53×#462C22semidirect
199. C53×#446C22semidirect
200. C53×#441C22semidirect
202. C4×Q16×C53C22semidirect
826. #3377D53direct (N × H)
845. D53#3377direct (N × H)
860. #557C2×D53semidirect
901. #491C2×D53semidirect
925. #479C2×D53semidirect
941. #477C2×D53semidirect
965. #462C2×D53semidirect
973. #446C2×D53semidirect
981. #441C2×D53semidirect
997. C4×Q16C2×D53semidirect
1017. C53C2×#3377semidirect

Maximal subgroups

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

subgroupindex
#557×D532
#556×D532
#202875642
#202875632
#202875622
#202875612
#202875602
#202875592
#202875582
#202875572
#202875562
#202875552
#202875542
#202875532
#202875522
#202875512
#202875502
#491×D532
#489×D532
#488×D532
#479×D532
#477×D532
#478×D532
#464×D532
#462×D532
#446×D532
#441×D532
#440×D532
C4×Q16×D532
C53×#33772
C2×#337753