Finite Group Databasebeta

← #28275828

Subgroups — #28275828

Order 13568.

1664 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289206C211yesmaximal, characteristic, complemented
2#20288608C211yesmaximal, characteristic, complemented
3#20287795C211yesmaximal, characteristic, complemented
4#20287793C211yesmaximal, characteristic, complemented
5#20287786C211yesmaximal, characteristic, complemented
6#20287778C211yesmaximal, characteristic, complemented
7#20287768C211yesmaximal, characteristic, complemented
8#20287748C211yesmaximal, characteristic, complemented
9#20287715C211yesmaximal, characteristic, complemented
10#20287701C211yesmaximal, characteristic, complemented
11#20287560C211yesmaximal, characteristic, complemented
12#20287542C211yesmaximal, characteristic, complemented
13#20287532C211yesmaximal, characteristic, complemented
14#20287478C211yesmaximal, characteristic, complemented
15#20287452C211yesmaximal, characteristic, complemented
16#20287408C211yesmaximal, characteristic, complemented
17#20287403C211yesmaximal, characteristic, complemented
18#20285821C211yesmaximal, characteristic, complemented
19#20285806C211yesmaximal, characteristic
20#20285801C211yesmaximal, characteristic, complemented
21#20285788C211yesmaximal, characteristic, complemented
22#20285719C211yesmaximal, characteristic, complemented
23#20285678C211yesmaximal, characteristic, complemented
24#20285017C211yesmaximal, characteristic, complemented
25#20284969C211yesmaximal, characteristic, complemented
26#20284942C211yesmaximal, characteristic, complemented
27#20284895C211yesmaximal, characteristic, complemented
28#20284820C211yesmaximal, characteristic, complemented
29#20284788C211yesmaximal, characteristic, complemented
30#20283808C211yesmaximal, characteristic, complemented
31C53×#3370C211yesmaximal, characteristic, complemented
32#16811374—21no—
33#16811374—21no—
34#16811359C2211yescharacteristic
35#16811356C2211yescharacteristic
36#16811355C2211yescharacteristic
37#16811353C2211yescharacteristic, complemented
38#16811352C2211yescharacteristic, complemented
39#16811350C2211yescharacteristic, complemented
40#16811350C2211yescharacteristic, complemented
41#16811346C2211yescharacteristic
42#16811345C2211yescharacteristic
43#16811344—21no—
44#16811343C2211yescharacteristic
45#16811343C2211yescharacteristic, complemented
46#16811343C2211yescharacteristic, complemented
47#16811343C2211yescharacteristic, complemented
48#16811342C2211yescharacteristic
49#16811308—21no—
50#16811303—21no—
51#16811302—21no—
52#16811301—21no—
53#16811296—21no—
54#16811254—21no—
55#16811241—21no—
56#16811238C2211yescharacteristic
57#16811238C2211yescharacteristic
58#16811237—21no—
59#16811236C2211yescharacteristic
60#16811236C2211yescharacteristic
61#16811233—21no—
62#16811233—21no—
63#16811233—21no—
64#16811193C2211yescharacteristic
65#16811186C2211yescharacteristic
66#16811178C2211yescharacteristic
67#16811177C2211yescharacteristic
68#16811155C2211yescharacteristic
69#16811153—21no—
70#16811150—21no—
71#124×D53C2211yescharacteristic
72#16811099C2211yescharacteristic
73#16811095C2211yescharacteristic
74C4×#11719947C2211yescharacteristic
75#16811018C2211yescharacteristic
76#16811018C2211yescharacteristic, complemented
77#16811017C2211yescharacteristic
78#16811017C2211yescharacteristic
79#16811014C2211yescharacteristic, complemented
80#16811011C2211yescharacteristic
81#16811006C2211yescharacteristic
82#16811006C2211yescharacteristic
83#16811006C2211yescharacteristic, complemented
84#16811004C2211yescharacteristic
85#16811003C2211yescharacteristic, complemented
86#16810995C2211yescharacteristic
87#16810993C2211yescharacteristic, complemented
88#16810985C2211yescharacteristic
89#16810981C2211yescharacteristic
90#16810981C2211yescharacteristic, complemented
91#16810980C2211yescharacteristic
92#16810979C2211yescharacteristic
93#16810976C2211yescharacteristic
94#16810972C2211yescharacteristic, complemented
95#16810968C2211yescharacteristic
96#16810967C2211yescharacteristic
97#16810966C2211yescharacteristic
98#16810966C2211yescharacteristic
99#16810946C2211yescharacteristic
100#16810933C2211yescharacteristic, complemented
101#16810927C2211yescharacteristic, complemented
102#16810925C2211yescharacteristic, complemented
103#16810920C2211yescharacteristic
104#16810917C2211yescharacteristic, complemented
105#16810911C2211yescharacteristic
106#16810906C2211yescharacteristic, complemented
107#16810905C2211yescharacteristic, complemented
108#16810902C2211yescharacteristic
109#16810848C2211yescharacteristic
110#16810848C2211yescharacteristic
111#16810846C2211yescharacteristic
112#16810846C2211yescharacteristic
113#16810844C2211yescharacteristic
114#16810844C2211yescharacteristic
115#16810844C2211yescharacteristic
116#16810844C2211yescharacteristic
117#16810844C2211yescharacteristic, complemented
118#16810844C2211yescharacteristic, complemented
119#16810844C2211yescharacteristic, complemented
120#16810844C2211yescharacteristic, complemented
121#16810843C2211yescharacteristic, complemented
122#16810842C2211yescharacteristic
123#16810842C2211yescharacteristic, complemented
124#16810838C2211yescharacteristic
125#16810838C2211yescharacteristic
126#16810837C2211yescharacteristic
127#16810836C2211yescharacteristic
128#16810836C2211yescharacteristic, complemented
129#16810834C2211yescharacteristic, complemented
130#16810834C2211yescharacteristic, complemented
131#16810834C2211yescharacteristic, complemented
132#16810833C2211yescharacteristic, complemented
133#16810832C2211yescharacteristic, complemented
134#16810832C2211yescharacteristic, complemented
135#16810829C2211yescharacteristic
136#16810828C2211yescharacteristic
137#16810828C2211yescharacteristic, complemented
138#16810828C2211yescharacteristic, complemented
139#16810822C2211yescharacteristic
140#16810822C2211yescharacteristic
141#16810820C2211yescharacteristic
142#16810786C2211yescharacteristic
143#16810786C2211yescharacteristic
144#16810786C2211yescharacteristic
145#16810780C2211yescharacteristic
146#16810780C2211yescharacteristic
147#16810780C2211yescharacteristic
148#16810775C2211yescharacteristic
149#16810775C2211yescharacteristic
150#16810775C2211yescharacteristic
151#16810765C2211yescharacteristic
152#16810760C2211yescharacteristic
153#16810755C2211yescharacteristic
154#16810754C2211yescharacteristic, complemented
155#16810752C2211yescharacteristic, complemented
156#16810752C2211yescharacteristic, complemented
157#16810751C2211yescharacteristic, complemented
158#16810751C2211yescharacteristic, complemented
159C8×Dic106C2211yescharacteristic, complemented
160#16810747C2211yescharacteristic, complemented
161#16810733C2211yescharacteristic
162#16810731C2211yescharacteristic, complemented
163#16810731C2211yescharacteristic, complemented
164#16810729C2211yescharacteristic, complemented
165#16810727C2211yescharacteristic, complemented
166#16810723C2211yescharacteristic
167#16810723C2211yescharacteristic, complemented
168#16810723C2211yescharacteristic, complemented
169#16810722C2211yescharacteristic
170#16810720C2211yescharacteristic
171#16810717C2211yescharacteristic, complemented
172#16810717C2211yescharacteristic, complemented
173#16810717C2211yescharacteristic, complemented
174C4×#11719925C2211yescharacteristic, complemented
175#16810715C2211yescharacteristic, complemented
176#16810714C2211yescharacteristic
177#16810714C2211yescharacteristic, complemented
178#16810714C2211yescharacteristic, complemented
179C4×#11719913C2211yescharacteristic
180#16810710C2211yescharacteristic
181C4×#11719923C2211yescharacteristic, complemented
182#16810685C2211yescharacteristic
183#16810683C2211yescharacteristic
184#16810683C2211yescharacteristic
185#16810682C2211yescharacteristic
186#16810678C2211yescharacteristic
187#16810675C2211yescharacteristic
188C53×#559C2211yescharacteristic
189C53×#554C2211yescharacteristic, complemented
190C53×#490C2211yescharacteristic
191C53×#489C2211yescharacteristic
192C53×#488C2211yescharacteristic, complemented
193C53×#479C2211yescharacteristic, complemented
194C53×#478C2211yescharacteristic
195C53×#474C2211yescharacteristic, complemented
196C53×#463C2211yescharacteristic
197C53×#463C2211yescharacteristic, complemented
198C53×#459C2211yescharacteristic
199C53×#446C2211yescharacteristic, complemented
200C53×#442C2211yescharacteristic, complemented
201C53×#440C2211yescharacteristic, complemented
202C4×D8×C53C2211yescharacteristic
203C2×#11719947C2311yescharacteristic
204C2×Q8×D53C2311yescharacteristic
205C2×D4×D53C2311yescharacteristic
206C2×Dic212C2311yescharacteristic
207C2×Dic212C2311yescharacteristic
208C2×Dic212C2311yescharacteristic
209C2×Dic212C2311yescharacteristic
210C2×Dic212C2311yescharacteristic
211C2×Dic212C2311yescharacteristic
212C2×#11719925C2311yescharacteristic
213C2×#11719925C2311yescharacteristic
214C2×#11719925C2311yescharacteristic
215C2×#11719913C2311yescharacteristic
216C2×#11719913C2311yescharacteristic
217C2×#11719913C2311yescharacteristic
218C2×#11719923C2311yescharacteristic
219C2×#11719923C2311yescharacteristic
220C2×#11719923C2311yescharacteristic
221C2×#11719923C2311yescharacteristic
222C2×#11719923C2311yescharacteristic
223C2×#11719923C2311yescharacteristic
224C2×#11719923C2311yescharacteristic
225C2×#11719923C2311yescharacteristic
226C2×#11719922C2311yescharacteristic
227#13133217C2311yescharacteristic
228#13133217C2311yescharacteristic
229#13133217C2311yescharacteristic
230#13133217C2311yescharacteristic
231#13133216—21no—
232#13133216—21no—
233#13133216—21no—
234#13133216D411yescharacteristic
235#13133216C2311yescharacteristic
236#13133216C2311yescharacteristic
237#13133215—21no—
238#13133215—21no—
239#13133215D411yescharacteristic
240#13133215C2311yescharacteristic
241#13133213C2311yescharacteristic
242#13133212—21no—
243#13133212—21no—
244#13133212—21no—
245#13133212—21no—
246#13133212—21no—
247#13133212—21no—
248#13133212—21no—
249#13133211—21no—
250#13133210—21no—
251#13133210—21no—
252#13133210—21no—
253#13133210—21no—
254#13133210—21no—
255#13133210—21no—
256#13133210—21no—
257#13133210—21no—
258#13133210—21no—
259#13133210—21no—
260#13133210—21no—
261#13133210—21no—
262#13133210—21no—
263#13133208—21no—
264#13133208—21no—
265#13133208—21no—
266#13133208—21no—
267#13133208—21no—
268#13133208—21no—
269#13133208—21no—
270#13133208—21no—
271#13133208C2311yescharacteristic
272#13133207—21no—
273#13133207—21no—
274#13133207—21no—
275#13133207—21no—
276#13133207D411yescharacteristic
277#13133207D411yescharacteristic
278#13133206C2311yescharacteristic
279#13133205C2311yescharacteristic
280#13133205C2311yescharacteristic
281#13133204—21no—
282#13133204C2311yescharacteristic
283#13133204C2311yescharacteristic
284#13133204C2311yescharacteristic
285#13133204C2311yescharacteristic
286#13133204C2311yescharacteristic
287#13133204C2311yescharacteristic
288#13133203—21no—
289#13133203—21no—
290#13133203—21no—
291#13133203—21no—
292#13133203—21no—
293#13133203—21no—
294#13133201—21no—
295#13133200—21no—
296#13133200—21no—
297#13133200—21no—
298#13133199—21no—
299#13133199—21no—
300#13133199—21no—
301#13133199—21no—
302#13133199—21no—
303#13133198—21no—
304#13133198—21no—
305#13133197D411yescharacteristic
306#13133197C2311yescharacteristic
307#13133197C2311yescharacteristic
308#13133197C2311yescharacteristic
309#13133196—21no—
310#13133196—21no—
311#13133196—21no—
312#13133196—21no—
313#13133196—21no—
314#13133196—21no—
315#13133195—21no—
316#13133195D411yescharacteristic
317#13133195D411yescharacteristic
318#13133194—21no—
319#13133194—21no—
320#13133194—21no—
321#13133193—21no—
322#13133193—21no—
323#13133193D411yescharacteristic
324#13133189—21no—
325#13133189—21no—
326#13133188C2311yescharacteristic
327#13133185—21no—
328#13133185—21no—
329Q8×Dic53—21no—
330Q8×Dic53—21no—
331Q8×Dic53C2311yescharacteristic
332C4×Dic106—21no—
333C4×Dic106C2311yescharacteristic
334C4×Dic106C2311yescharacteristic
335C4×Dic106C2311yescharacteristic
336C4×Dic106C2311yescharacteristic
337C4×Dic106C2311yescharacteristic
338C4×Dic106C2311yescharacteristic
339C4×Dic106C2311yescharacteristic
340C4×Dic106C2311yescharacteristic
341#13133182—21no—
342#13133182—21no—
343#13133182—21no—
344#13133182—21no—
345#13133182C2311yescharacteristic
346#13133182C2311yescharacteristic
347#13133182C2311yescharacteristic
348#13133182C2311yescharacteristic
349#13133182C2311yescharacteristic
350#13133182C2311yescharacteristic
351#13133182C2311yescharacteristic
352#13133182C2311yescharacteristic
353C4×D212C2311yescharacteristic
354D4×Dic53—21no—
355D4×Dic53C2311yescharacteristic
356D4×Dic53C2311yescharacteristic
357#13133179C2311yescharacteristic
358C4×C22⋊D53—21no—
359C4×C22⋊D53—21no—
360C4×C22⋊D53—21no—
361C4×C22⋊D53—21no—
362#13133177—21no—
363#13133177—21no—
364#13133177—21no—
365#13133176—21no—
366#13133176—21no—
367#13133176—21no—
368#13133176—21no—
369#13133176—21no—
370#13133175—21no—
371#13133175—21no—
372#13133175—21no—
373#13133175C2311yescharacteristic
374#13133174—21no—
375#13133174—21no—
376#13133174C2311yescharacteristic
377#13133174C2311yescharacteristic
378#13133173—21no—
379#13133173—21no—
380C2×#11719921—21no—
381C22⋊C4×D53—21no—
382C22⋊C4×D53—21no—
383C22⋊C4×D53—21no—
384C2×C4×Dic53—21no—
385C42×D53C2311yescharacteristic
386#13133150C2311yescharacteristic
387#13133150C2311yescharacteristic
388#13133149C2311yescharacteristic
389#13133148C2311yescharacteristic
390#13133148C2311yescharacteristic
391C4⋊#88322C2311yescharacteristic
392C4⋊#88322C2311yescharacteristic
393C4⋊#88322C2311yescharacteristic
394#13133146C2311yescharacteristic
395#13133146C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133142C2311yescharacteristic
401#13133142C2311yescharacteristic
402#13133142C2311yescharacteristic
403#13133142C2311yescharacteristic
404#13133142C2311yescharacteristic
405#13133141C2311yescharacteristic
406#13133140C2311yescharacteristic
407#13133140C2311yescharacteristic
408#13133140C2311yescharacteristic
409#13133140C2311yescharacteristic
410#13133140C2311yescharacteristic
411#13133140C2311yescharacteristic
412#13133140C2311yescharacteristic
413#13133140C2311yescharacteristic
414#13133140C2311yescharacteristic
415#13133139C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133137C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133129C2311yescharacteristic
423#13133129C2311yescharacteristic
424#13133129C2311yescharacteristic
425#13133129C2311yescharacteristic
426#13133128C2311yescharacteristic
427#13133128C2311yescharacteristic
428#13133127C2311yescharacteristic
429#13133127C2311yescharacteristic
430C4×#88322C2311yescharacteristic
431C8×Dic53C2311yescharacteristic
432C8×Dic53C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C2×SD16×C53C2311yescharacteristic
436C2×D8×C53C2311yescharacteristic
437C2×D8×C53C2311yescharacteristic
438C4⋊Q8×C53C2311yescharacteristic
439#127×C53C2311yescharacteristic
440#125×C53C2311yescharacteristic
441#125×C53C2311yescharacteristic
442#124×C53—21no—
443#124×C53C2311yescharacteristic
444#124×C53C2311yescharacteristic
445#123×C53—21no—
446#123×C53—21no—
447C22⋊Q8×C53—21no—
448C22⋊Q8×C53—21no—
449C22⋊Q8×C53—21no—
450C4×Q8×C53C2311yescharacteristic
451C4×Q8×C53C2311yescharacteristic
452C4×D4×C53—21no—
453C4×D4×C53C2311yescharacteristic
454C4×D4×C53C2311yescharacteristic
455C4×D4×C53C2311yescharacteristic
456C4×D4×C53C2311yescharacteristic
457C4×D4×C53C2311yescharacteristic
458C2×C4⋊C4×C53—21no—
459#107×C53C2311yescharacteristic
460#107×C53C2311yescharacteristic
461#106×C53C2311yescharacteristic
462C4⋊C8×C53C2311yescharacteristic
463C4⋊C8×C53C2311yescharacteristic
464C4⋊C8×C53C2311yescharacteristic
465#103×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
474#102×C53C2311yescharacteristic
475#97×C53C2311yescharacteristic
476#97×C53C2311yescharacteristic
477C4×C8×C53C2311yescharacteristic
478C23×D53—21no—
479C2×Q8×C53—21no—
480C2×Q8×C53C2×D411yescharacteristic
481C2×Q8×C53C2411yescharacteristic
482C2×D4×C53—21no—
483C2×D4×C53—21no—
484C2×D4×C53C2411yescharacteristic
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—
492C2×C22⋊D53—21no—
493C2×C22⋊D53—21no—
494C2×C22⋊D53—21no—
495C2×C22⋊D53—21no—
496C2×C22⋊D53—21no—
497C22×Dic53—21no—
498C22×Dic53—21no—
499C22×Dic53—21no—
500Q8×D53—41no—
501Q8×D53—41no—
502#11719947—41no—
503#11719947—41no—
504D4×D53—41no—
505D4×D53—41no—
506C2×D212C2411yescharacteristic
507C2×C4×D53—21no—
508C2×C4×D53—21no—
509C2×C4×D53—21no—
510C2×C4×D53C2×D411yescharacteristic
511C2×C4×D53C2×D411yescharacteristic
512C2×C4×D53C2411yescharacteristic
513C2×Dic106—21no—
514C2×Dic106—21no—
515C2×Dic106—21no—
516C2×Dic106C2×D411yescharacteristic
517C2×Dic106C2×D411yescharacteristic
518C2×Dic106C2×D411yescharacteristic
519C2×Dic106C2411yescharacteristic
520C2×Dic106C2411yescharacteristic
521C2×Dic106C2411yescharacteristic
522C2×Dic106C2411yescharacteristic
523C2×Dic106C2411yescharacteristic
524SD16×C53—41no—
525D8×C53—41no—
526D8×C53—41no—
527C2×C8×C53C2411yescharacteristic
528C2×C8×C53C2411yescharacteristic
529C2×C8×C53C2411yescharacteristic
530C2×C8×C53C2411yescharacteristic
531C4⋊C4×C53—21no—
532C4⋊C4×C53—21no—
533C4⋊C4×C53—21no—
534C4⋊C4×C53—21no—
535C4⋊C4×C53—21no—
536C4⋊C4×C53—21no—
537C4⋊C4×C53C2×D411yescharacteristic
538C4⋊C4×C53C2×D411yescharacteristic
539C4⋊C4×C53C2×D411yescharacteristic
540C4⋊C4×C53C2411yescharacteristic
541C4⋊C4×C53C2411yescharacteristic
542C4⋊C4×C53C2411yescharacteristic
543C4⋊C4×C53C2411yescharacteristic
544C22⋊C4×C53—21no—
545C22⋊C4×C53—21no—
546C22⋊C4×C53—21no—
547C22⋊C4×C53—21no—
548C22⋊C4×C53—21no—
549C22⋊C4×C53—21no—
550C22⋊C4×C53—21no—
551C22⋊C4×C53—21no—
552C22⋊C4×C53—21no—
553C42×C53—21no—
554C42×C53C2411yescharacteristic
555C42×C53C2411yescharacteristic
556C42×C53C2411yescharacteristic
557C22⋊Dic53—21no—
558C22⋊Dic53—21no—
559C22⋊Dic53—21no—
560C22⋊Dic53—21no—
561C22⋊Dic53—21no—
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—
572#11719925—41no—
573#11719925—41no—
574#11719925—41no—
575#11719923—41no—
576#11719923—41no—
577#11719923—41no—
578#11719923—41no—
579#11719923—41no—
580#11719923—41no—
581#11719923—41no—
582#11719923—41no—
583#11719922—41no—
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#11719921C2×D411yescharacteristic
597#11719921C2×D411yescharacteristic
598#11719921C2×D411yescharacteristic
599#11719921C2×D411yescharacteristic
600C4⋊Dic53—21no—
601C4⋊Dic53—21no—
602C4⋊Dic53—21no—
603C4⋊Dic53—21no—
604C4⋊Dic53—21no—
605C4⋊Dic53—21no—
606C4⋊Dic53—21no—
607C4⋊Dic53—21no—
608C4⋊Dic53—21no—
609C4⋊Dic53—21no—
610C4⋊Dic53—21no—
611C4⋊Dic53—21no—
612C4⋊Dic53—21no—
613C4⋊Dic53C2×D411yescharacteristic
614C4⋊Dic53C2×D411yescharacteristic
615C4⋊Dic53C2×D411yescharacteristic
616C4⋊Dic53C2411yescharacteristic
617C4⋊Dic53C2411yescharacteristic
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#11719919C2×D411yescharacteristic
637#11719919C2×D411yescharacteristic
638#11719919C2×D411yescharacteristic
639#11719919C2×D411yescharacteristic
640#11719919C2×D411yescharacteristic
641#11719919C2×D411yescharacteristic
642#11719919C2×D411yescharacteristic
643#11719919C2×D411yescharacteristic
644#11719919C2×D411yescharacteristic
645#11719919C2×D411yescharacteristic
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×Dic53—21no—
660C4×Dic53—21no—
661C4×Dic53C2×D411yescharacteristic
662C4×Dic53C2×D411yescharacteristic
663C4×Dic53C2411yescharacteristic
664C4×Dic53C2411yescharacteristic
665C4×Dic53C2411yescharacteristic
666C2×#88322C2411yescharacteristic
667C2×#88322C2411yescharacteristic
668C2×#88322C2411yescharacteristic
669C2×#88322C2411yescharacteristic
670Dic212—41no—
671Dic212—41no—
672Dic212—41no—
673Dic212—41no—
674Dic212—41no—
675Dic212—41no—
676#11719913—41no—
677#11719913—41no—
678#11719913—41no—
679C23×C53—21no—
680C23×C53—21no—
681C23×C53—21no—
682C22×D53—21no—
683C22×D53—42no—
684C22×D53—81no—
685C22×D53—81no—
686C22×D53C22×D411yescharacteristic
687Q8×C53—21no—
688Q8×C53—21no—
689Q8×C53—41no—
690Q8×C53—81no—
691D4×C53—21no—
692D4×C53—21no—
693D4×C53—21no—
694D4×C53—21no—
695D4×C53—21no—
696D4×C53—21no—
697D4×C53—81no—
698D4×C53—81no—
699C2×C4×C53—21no—
700C2×C4×C53—21no—
701C2×C4×C53—21no—
702C2×C4×C53—21no—
703C2×C4×C53—21no—
704C2×C4×C53—42no—
705C2×C4×C53—81no—
706C2×C4×C53—81no—
707C2×C4×C53—81no—
708C2×C4×C53—81no—
709C2×C4×C53C22×D411yescharacteristic
710C2×C4×C53C22×D411yescharacteristic
711C2×C4×C53C22×D411yescharacteristic
712C2×C4×C53C22×D411yescharacteristic
713C2×C4×C53C22×D411yescharacteristic
714C2×C4×C53C22×D411yescharacteristic
715C2×C4×C53C2511yescharacteristic
716C22⋊D53—42no—
717C22⋊D53—42no—
718C22⋊D53—81no—
719C22⋊D53—81no—
720C22⋊D53—81no—
721C2×Dic53—21no—
722C2×Dic53—21no—
723C2×Dic53—21no—
724C2×Dic53—21no—
725C2×Dic53—21no—
726C2×Dic53—21no—
727C2×Dic53—21no—
728C2×Dic53—42no—
729C2×Dic53—81no—
730C2×Dic53—81no—
731C2×Dic53C22×D411yescharacteristic
732C2×Dic53C22×D411yescharacteristic
733C2×Dic53C22×D411yescharacteristic
734C2×Dic53C22×D411yescharacteristic
735C2×Dic53C22×D411yescharacteristic
736C2×Dic53C22×D411yescharacteristic
737C2×Dic53C22×D411yescharacteristic
738D212—21no—
739D212—21no—
740C4×D53—21no—
741C4×D53—21no—
742C4×D53—41no—
743C4×D53—41no—
744C4×D53—42no—
745C4×D53—81no—
746C4×D53—81no—
747Dic106—21no—
748Dic106—21no—
749Dic106—21no—
750Dic106—21no—
751Dic106—21no—
752Dic106—21no—
753Dic106—21no—
754Dic106—21no—
755Dic106—21no—
756Dic106—21no—
757Dic106—41no—
758Dic106—41no—
759Dic106—41no—
760Dic106—42no—
761Dic106—81no—
762Dic106—81no—
763C8×C53—21no—
764C8×C53—21no—
765C8×C53—21no—
766C8×C53—21no—
767#88322—21no—
768#88322—21no—
769#88322—21no—
770#88322—21no—
771#61925—531nomaximal, Sylow
772C22×C53—41no—
773C22×C53—41no—
774C22×C53—41no—
775C22×C53—41no—
776C22×C53—41no—
777C22×C53—41no—
778C22×C53—41no—
779C22×C53—41no—
780C22×C53—41no—
781C22×C53C23×D411yescharacteristic
782C2×D53—21no—
783C2×D53—21no—
784C2×D53—21no—
785C2×D53—41no—
786C2×D53—41no—
787C2×D53—41no—
788C2×D53—162no—
789C4×C53—21no—
790C4×C53—21no—
791C4×C53—21no—
792C4×C53—21no—
793C4×C53—21no—
794C4×C53—21no—
795C4×C53—41no—
796C4×C53—41no—
797C4×C53—41no—
798C4×C53—41no—
799C4×C53—41no—
800C4×C53#58511yescharacteristic
801C4×C53#58511yescharacteristic
802Dic53—21no—
803Dic53—21no—
804Dic53—21no—
805Dic53—21no—
806Dic53—21no—
807Dic53—21no—
808Dic53—21no—
809Dic53—41no—
810Dic53—41no—
811Dic53—41no—
812Dic53—41no—
813Dic53—41no—
814Dic53—41no—
815Dic53—41no—
816#3555—531no—
817#3510—531no—
818#3402—531no—
819#3402—531no—
820#3401—531no—
821#3401—531no—
822#3400—531no—
823#3398—531no—
824#3394—531no—
825#3393—531no—
826#3377—531no—
827#3376—531no—
828#3375—531no—
829#3371—531no—
830#3370D5311yescharacteristic, complemented
831#3369—531no—
832#3365—531no—
833#3364—531no—
834#3225—531no—
835#3224—531no—
836#3223—531no—
837#3222—531no—
838#3215—531no—
839#3211—531no—
840#3127—531no—
841#3123—531no—
842#3121—531no—
843#3118—531no—
844#3111—531no—
845#3107—531no—
846#2985—531no—
847C2×C53—81no—
848C2×C53—81no—
849C2×C53—81no—
850C2×C53#348711yescharacteristic
851C2×C53#358411yescharacteristic
852C2×C53#358611yescharacteristic
853D53—41no—
854D53—81no—
855#563—1061no—
856#563—1061no—
857#559—531no—
858#559—531no—
859#559—531no—
860#559C2×D5311yescharacteristic
861Q82—531no—
862#557—531no—
863#557—531no—
864#557—531no—
865#556—531no—
866#556—531no—
867#556—531no—
868#556—531no—
869#556—531no—
870#556—531no—
871#556—531no—
872#556—1061no—
873#554C2×D5311yescharacteristic, complemented
874#552—1061no—
875#551—1061no—
876#551—1061no—
877#551—1061no—
878#551—1061no—
879#544—1061no—
880#542—531no—
881#542—531no—
882#542—1061no—
883#542—1061no—
884#541—531no—
885#541—531no—
886#541—1061no—
887#541—1061no—
888#541—1061no—
889#536—531no—
890#535—531no—
891#533—531no—
892#533—531no—
893#529—531no—
894#529—1061no—
895#529—1061no—
896C2×#124—531no—
897#519—531no—
898#518—531no—
899C4×#41—531no—
900#497—531no—
901#497—531no—
902#497—531no—
903#497—531no—
904#497—531no—
905#496—531no—
906#495—531no—
907#495—531no—
908#495—531no—
909#495—531no—
910#494—531no—
911#492—531no—
912#491—531no—
913#490C2×D5311yescharacteristic
914#489—531no—
915#489—531no—
916#489—531no—
917#489C2×D5311yescharacteristic
918#488—531no—
919#488—531no—
920#488—531no—
921#488C2×D5311yescharacteristic, complemented
922#487—531no—
923#486—531no—
924#485—531no—
925#485—531no—
926#485—531no—
927#482—531no—
928#479—531no—
929#479—531no—
930#479C2×D5311yescharacteristic, complemented
931#478—531no—
932#478—531no—
933#478C2×D5311yescharacteristic
934#477—531no—
935#476—531no—
936#475—531no—
937#475—531no—
938#474—531no—
939#474C2×D5311yescharacteristic, complemented
940#464—531no—
941#464—531no—
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#463—531no—
956#463—531no—
957#463—531no—
958#463—531no—
959#463—531no—
960#463C2×D5311yescharacteristic
961#463C2×D5311yescharacteristic, complemented
962#462—531no—
963#462—531no—
964#462—531no—
965#462—531no—
966#462—531no—
967#462—531no—
968#461—531no—
969#461—531no—
970#461—531no—
971#461—531no—
972#460—531no—
973#460—531no—
974#460—531no—
975#459C2×D5311yescharacteristic
976#452—531no—
977#452—531no—
978#452—531no—
979#451—531no—
980#451—531no—
981#451—531no—
982#450—531no—
983#450—531no—
984#450—531no—
985#449—531no—
986#448—531no—
987#447—531no—
988#446—531no—
989#446—531no—
990#446—531no—
991#446—531no—
992#446—531no—
993#446C2×D5311yescharacteristic, complemented
994C8×Q8—531no—
995C8×Q8—531no—
996#442—531no—
997#442C2×D5311yescharacteristic, complemented
998#441—531no—
999#441—531no—
1000#441—531no—
1001#441—531no—
1002#440—531no—
1003#440—531no—
1004#440—531no—
1005#440—531no—
1006#440—531no—
1007#440C2×D5311yescharacteristic, complemented
1008C4×Q16—531no—
1009C4×Q16—531no—
1010C4×Q16—531no—
1011C4×Q16—531no—
1012C4×Q16—531no—
1013C4×SD16—531no—
1014C4×SD16—531no—
1015C4×SD16—531no—
1016C4×SD16—531no—
1017C4×SD16—531no—
1018C4×SD16—531no—
1019C4×D8C2×D5311yescharacteristic
1020#433—531no—
1021#433—531no—
1022#433—531no—
1023#433—531no—
1024#432—531no—
1025#431—531no—
1026C53#6192511yescharacteristic, complemented, Sylow
1027C2×#41—531no—
1028C22×Q8—531no—
1029C22×D4—531no—
1030C2×Q16—531no—
1031C2×Q16—531no—
1032C2×Q16—531no—
1033C2×Q16—531no—
1034C2×Q16—531no—
1035C2×Q16—531no—
1036C2×Q16—531no—
1037C2×Q16—531no—
1038C2×Q16—531no—
1039C2×SD16—531no—
1040C2×SD16—531no—
1041C2×SD16—531no—
1042C2×SD16—531no—
1043C2×SD16—531no—
1044C2×SD16—531no—
1045C2×SD16—531no—
1046C2×SD16—531no—
1047C2×SD16—531no—
1048C2×SD16—531no—
1049C2×SD16—531no—
1050C2×SD16C22×D5311yescharacteristic
1051C2×D8—531no—
1052C2×D8C22×D5311yescharacteristic
1053C2×D8C22×D5311yescharacteristic
1054C4⋊Q8—531no—
1055C4⋊Q8—531no—
1056C4⋊Q8—531no—
1057C4⋊Q8—531no—
1058C4⋊Q8—531no—
1059C4⋊Q8—531no—
1060C4⋊Q8—531no—
1061C4⋊Q8—531no—
1062C4⋊Q8—531no—
1063C4⋊Q8—1061no—
1064C4⋊Q8—1061no—
1065C4⋊Q8—1061no—
1066C4⋊Q8—1061no—
1067C4⋊Q8—1061no—
1068C4⋊Q8C22×D5311yescharacteristic
1069#127—531no—
1070#127C22×D5311yescharacteristic
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#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—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#125—1061no—
1107#125C22×D5311yescharacteristic
1108#125C22×D5311yescharacteristic
1109#124—21no—
1110#124—531no—
1111#124—531no—
1112#124—531no—
1113#124—531no—
1114#124—531no—
1115#124—531no—
1116#124—531no—
1117#124—531no—
1118#124—531no—
1119#124—1061no—
1120#124—1061no—
1121#124—1061no—
1122#124—1061no—
1123#124—1061no—
1124#124—1061no—
1125#124—1061no—
1126#124C22×D5311yescharacteristic
1127#124C22×D5311yescharacteristic
1128#123—21no—
1129#123—21no—
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—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—531no—
1145C22⋊Q8—531no—
1146C22⋊Q8—531no—
1147C22⋊Q8—531no—
1148C22⋊Q8—531no—
1149C22⋊Q8—531no—
1150C22⋊Q8—531no—
1151C22⋊Q8—1061no—
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—
1163#121—531no—
1164#121—1061no—
1165#121—1061no—
1166#120—1061no—
1167#120—1061no—
1168C4×Q8—531no—
1169C4×Q8—531no—
1170C4×Q8—531no—
1171C4×Q8—531no—
1172C4×Q8—531no—
1173C4×Q8—531no—
1174C4×Q8—531no—
1175C4×Q8—531no—
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—1061no—
1186C4×Q8—1061no—
1187C4×Q8—1061no—
1188C4×Q8—1061no—
1189C4×Q8—1061no—
1190C4×Q8—1061no—
1191C4×Q8—1061no—
1192C4×Q8C22×D5311yescharacteristic
1193C4×Q8C22×D5311yescharacteristic
1194C4×D4—21no—
1195C4×D4—531no—
1196C4×D4—531no—
1197C4×D4—531no—
1198C4×D4—531no—
1199C4×D4—1061no—
1200C4×D4—1061no—
1201C4×D4—1061no—
1202C4×D4—1061no—
1203C4×D4—1061no—
1204C4×D4—1061no—
1205C4×D4—1061no—
1206C4×D4—1061no—
1207C4×D4C22×D5311yescharacteristic
1208C4×D4C22×D5311yescharacteristic
1209C4×D4C22×D5311yescharacteristic
1210C4×D4C22×D5311yescharacteristic
1211C4×D4C22×D5311yescharacteristic
1212#117—531no—
1213#117—531no—
1214#117—531no—
1215#117—1061no—
1216#117—1061no—
1217#117—1061no—
1218#117—1061no—
1219#117—1061no—
1220#117—1061no—
1221#117—1061no—
1222#117—1061no—
1223#117—1061no—
1224#117—1061no—
1225#117—1061no—
1226#117—1061no—
1227C2×C4⋊C4—21no—
1228C2×C22⋊C4—1061no—
1229C2×C22⋊C4—1061no—
1230C2×C22⋊C4—1061no—
1231C2×C22⋊C4—1061no—
1232C2×C42—531no—
1233C2×C42—1061no—
1234#107—531no—
1235#107—531no—
1236#107C22×D5311yescharacteristic
1237#107C22×D5311yescharacteristic
1238#106—531no—
1239#106—531no—
1240#106—531no—
1241#106C22×D5311yescharacteristic
1242C4⋊C8—531no—
1243C4⋊C8—531no—
1244C4⋊C8—531no—
1245C4⋊C8—531no—
1246C4⋊C8—531no—
1247C4⋊C8—531no—
1248C4⋊C8—531no—
1249C4⋊C8—531no—
1250C4⋊C8—531no—
1251C4⋊C8C22×D5311yescharacteristic
1252C4⋊C8C22×D5311yescharacteristic
1253C4⋊C8C22×D5311yescharacteristic
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#103—531no—
1266#103—531no—
1267#103—531no—
1268#103—531no—
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#102C22×D5311yescharacteristic
1280#102C22×D5311yescharacteristic
1281#102C22×D5311yescharacteristic
1282#102C22×D5311yescharacteristic
1283#102C22×D5311yescharacteristic
1284#102C22×D5311yescharacteristic
1285#102C22×D5311yescharacteristic
1286C22⋊C8—531no—
1287C22⋊C8—531no—
1288C22⋊C8—531no—
1289C22⋊C8—531no—
1290#97—531no—
1291#97—531no—
1292#97—531no—
1293#97—531no—
1294#97C22×D5311yescharacteristic
1295#97C22×D5311yescharacteristic
1296C4×C8—531no—
1297C4×C8—531no—
1298C4×C8—531no—
1299C4×C8—531no—
1300C4×C8—531no—
1301C4×C8C22×D5311yescharacteristic
1302C24—1061no—
1303#41—2121no—
1304#41—2121no—
1305C2×Q8—21no—
1306C2×Q8—531no—
1307C2×Q8—531no—
1308C2×Q8—531no—
1309C2×Q8—531no—
1310C2×Q8—531no—
1311C2×Q8—531no—
1312C2×Q8—531no—
1313C2×Q8—531no—
1314C2×Q8—1061no—
1315C2×Q8—1061no—
1316C2×Q8—1061no—
1317C2×Q8—2121no—
1318C2×Q8—2121no—
1319C2×Q8D4×D5311yescharacteristic
1320C2×Q8C23×D5311yescharacteristic
1321C2×D4—21no—
1322C2×D4—21no—
1323C2×D4—531no—
1324C2×D4—1061no—
1325C2×D4—1061no—
1326C2×D4—1061no—
1327C2×D4—1061no—
1328C2×D4—1061no—
1329C2×D4—2121no—
1330C2×D4—2121no—
1331C2×D4C23×D5311yescharacteristic
1332C2×D4C23×D5311yescharacteristic
1333C2×D4C23×D5311yescharacteristic
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—531no—
1340C22×C4—531no—
1341C22×C4—531no—
1342C22×C4—1061no—
1343C22×C4—1061no—
1344C22×C4—1061no—
1345C22×C4—1061no—
1346C22×C4—1061no—
1347C22×C4—1061no—
1348Q16—2121no—
1349Q16—2121no—
1350Q16—2121no—
1351Q16—2121no—
1352Q16—2121no—
1353Q16—2121no—
1354Q16—2121no—
1355Q16—2121no—
1356Q16—2121no—
1357SD16—41no—
1358SD16—2121no—
1359SD16—2121no—
1360SD16—2121no—
1361SD16—2121no—
1362SD16—2121no—
1363SD16—2121no—
1364SD16—2121no—
1365SD16—2121no—
1366SD16—2121no—
1367SD16—2121no—
1368SD16—2121no—
1369D8—41no—
1370D8—41no—
1371D8—2121no—
1372C2×C8—531no—
1373C2×C8—531no—
1374C2×C8—531no—
1375C2×C8—531no—
1376C2×C8C23×D5311yescharacteristic
1377C2×C8C23×D5311yescharacteristic
1378C2×C8C23×D5311yescharacteristic
1379C2×C8C23×D5311yescharacteristic
1380C4⋊C4—21no—
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
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—531no—
1396C4⋊C4—531no—
1397C4⋊C4—531no—
1398C4⋊C4—531no—
1399C4⋊C4—531no—
1400C4⋊C4—531no—
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⋊C4D4×D5311yescharacteristic
1433C4⋊C4D4×D5311yescharacteristic
1434C4⋊C4D4×D5311yescharacteristic
1435C4⋊C4C23×D5311yescharacteristic
1436C4⋊C4C23×D5311yescharacteristic
1437C4⋊C4C23×D5311yescharacteristic
1438C4⋊C4C23×D5311yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—531no—
1449C22⋊C4—531no—
1450C22⋊C4—531no—
1451C22⋊C4—531no—
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—
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—
1479C42—21no—
1480C42—531no—
1481C42—531no—
1482C42—531no—
1483C42—531no—
1484C42—531no—
1485C42—1061no—
1486C42—1061no—
1487C42—1061no—
1488C42—1061no—
1489C42—1061no—
1490C42—1061no—
1491C42—1061no—
1492C42—1061no—
1493C42—1061no—
1494C42—1061no—
1495C42—1061no—
1496C42—1061no—
1497C42—1061no—
1498C42—1061no—
1499C42—1061no—
1500C42C23×D5311yescharacteristic
1501C42C23×D5311yescharacteristic
1502C42C23×D5311yescharacteristic
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—531no—
1507C23—1061no—
1508C23—4241no—
1509C23—4241no—
1510C23—2122no—
1511Q8—21no—
1512Q8—21no—
1513Q8—41no—
1514Q8—81no—
1515Q8—1061no—
1516Q8—1061no—
1517Q8—1061no—
1518Q8—1061no—
1519Q8—1061no—
1520Q8—1061no—
1521Q8—1061no—
1522Q8—1061no—
1523Q8—1061no—
1524Q8—1061no—
1525Q8—4241no—
1526Q8—4241no—
1527Q8—2121no—
1528Q8—2121no—
1529Q8—2121no—
1530Q8—2122no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—21no—
1536D4—21no—
1537D4—81no—
1538D4—81no—
1539D4—1061no—
1540D4—1061no—
1541D4—4241no—
1542D4—4241no—
1543D4—4241no—
1544D4—2122no—
1545D4—2122no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—42no—
1552C2×C4—81no—
1553C2×C4—81no—
1554C2×C4—81no—
1555C2×C4—81no—
1556C2×C4—531no—
1557C2×C4—531no—
1558C2×C4—531no—
1559C2×C4—531no—
1560C2×C4—531no—
1561C2×C4—531no—
1562C2×C4—531no—
1563C2×C4—1061no—
1564C2×C4—1061no—
1565C2×C4—1061no—
1566C2×C4—1061no—
1567C2×C4—1061no—
1568C2×C4—1061no—
1569C2×C4—1061no—
1570C2×C4—1061no—
1571C2×C4—1061no—
1572C2×C4—4241no—
1573C2×C4—4241no—
1574C2×C4—4241no—
1575C2×C4—4241no—
1576C2×C4—2121no—
1577C2×C4—2121no—
1578C2×C4—2122no—
1579C2×C4—2122no—
1580C2×C4C2×D4×D5311yescharacteristic
1581C2×C4C2×D4×D5311yescharacteristic
1582C2×C4C2×D4×D5311yescharacteristic
1583C2×C4C2×D4×D5311yescharacteristic
1584C2×C4C2×D4×D5311yescharacteristic
1585C2×C4C2×D4×D5311yescharacteristic
1586C2×C4C24×D5311yescharacteristic
1587C8—21no—
1588C8—21no—
1589C8—21no—
1590C8—21no—
1591C8—1061no—
1592C8—1061no—
1593C8—1061no—
1594C8—1061no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—8482no—
1605C22—1061no—
1606C22—1061no—
1607C22—1061no—
1608C22—2121no—
1609C22—2121no—
1610C22—2121no—
1611C22C22×D4×D5311yescharacteristic
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—1061no—
1624C4—1061no—
1625C4—1061no—
1626C4—1061no—
1627C4—1061no—
1628C4—1061no—
1629C4—1061no—
1630C4—2121no—
1631C4—2121no—
1632C4—2121no—
1633C4—2121no—
1634C4—2121no—
1635C4—2121no—
1636C4—2121no—
1637C4#1681145911yescharacteristic
1638C4#1681146011yescharacteristic
1639C2—81no—
1640C2—81no—
1641C2—81no—
1642C2—4241no—
1643C2—2121no—
1644C2#2028837211yescharacteristic
1645C2#2028948311yescharacteristic
1646C2#2028949911yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3370C2
socleC22×C53C23×D4
prime radical#20285806C2
hypercenter#3370D53
hypocenterC53#61925
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3370

Complements

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

NH ≅ G/Ntype
1. #20289206C2semidirect
2. #20288608C2semidirect
3. #20287795C2semidirect
4. #20287793C2semidirect
5. #20287786C2semidirect
6. #20287778C2semidirect
7. #20287768C2semidirect
8. #20287748C2semidirect
9. #20287715C2semidirect
10. #20287701C2semidirect
11. #20287560C2semidirect
12. #20287542C2semidirect
13. #20287532C2semidirect
14. #20287478C2semidirect
15. #20287452C2semidirect
16. #20287408C2semidirect
17. #20287403C2semidirect
18. #20285821C2semidirect
20. #20285801C2semidirect
21. #20285788C2semidirect
22. #20285719C2semidirect
23. #20285678C2semidirect
24. #20285017C2semidirect
25. #20284969C2semidirect
26. #20284942C2semidirect
27. #20284895C2semidirect
28. #20284820C2semidirect
29. #20284788C2semidirect
30. #20283808C2semidirect
31. C53×#3370C2semidirect
37. #16811353C22semidirect
38. #16811352C22semidirect
39. #16811350C22semidirect
40. #16811350C22semidirect
45. #16811343C22semidirect
46. #16811343C22semidirect
47. #16811343C22semidirect
76. #16811018C22semidirect
79. #16811014C22semidirect
83. #16811006C22semidirect
85. #16811003C22semidirect
87. #16810993C22semidirect
90. #16810981C22semidirect
94. #16810972C22semidirect
100. #16810933C22semidirect
101. #16810927C22semidirect
102. #16810925C22semidirect
104. #16810917C22semidirect
106. #16810906C22semidirect
107. #16810905C22semidirect
117. #16810844C22semidirect
118. #16810844C22semidirect
119. #16810844C22semidirect
120. #16810844C22semidirect
121. #16810843C22semidirect
123. #16810842C22semidirect
128. #16810836C22semidirect
129. #16810834C22semidirect
130. #16810834C22semidirect
131. #16810834C22semidirect
132. #16810833C22semidirect
133. #16810832C22semidirect
134. #16810832C22semidirect
137. #16810828C22semidirect
138. #16810828C22semidirect
154. #16810754C22semidirect
155. #16810752C22semidirect
156. #16810752C22semidirect
157. #16810751C22semidirect
158. #16810751C22semidirect
159. C8×Dic106C22semidirect
160. #16810747C22semidirect
162. #16810731C22semidirect
163. #16810731C22semidirect
164. #16810729C22semidirect
165. #16810727C22semidirect
167. #16810723C22semidirect
168. #16810723C22semidirect
171. #16810717C22semidirect
172. #16810717C22semidirect
173. #16810717C22semidirect
174. C4×#11719925C22semidirect
175. #16810715C22semidirect
177. #16810714C22semidirect
178. #16810714C22semidirect
181. C4×#11719923C22semidirect
189. C53×#554C22semidirect
192. C53×#488C22semidirect
193. C53×#479C22semidirect
195. C53×#474C22semidirect
197. C53×#463C22semidirect
199. C53×#446C22semidirect
200. C53×#442C22semidirect
201. C53×#440C22semidirect
830. #3370D53semidirect
873. #554C2×D53semidirect
921. #488C2×D53semidirect
930. #479C2×D53semidirect
939. #474C2×D53semidirect
961. #463C2×D53semidirect
993. #446C2×D53semidirect
997. #442C2×D53semidirect
1007. #440C2×D53semidirect
1026. C53#61925semidirect

Maximal subgroups

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

subgroupindex
#202892062
#202886082
#202877952
#202877932
#202877862
#202877782
#202877682
#202877482
#202877152
#202877012
#202875602
#202875422
#202875322
#202874782
#202874522
#202874082
#202874032
#202858212
#202858062
#202858012
#202857882
#202857192
#202856782
#202850172
#202849692
#202849422
#202848952
#202848202
#202847882
#202838082
C53×#33702
#6192553