Finite Group Databasebeta

← #28275814

Subgroups — #28275814

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#20289202C211yesmaximal, characteristic, complemented
2#20288608C211yesmaximal, characteristic, complemented
3#20287797C211yesmaximal, characteristic, complemented
4#20287794C211yesmaximal, characteristic, complemented
5#20287776C211yesmaximal, characteristic, complemented
6#20287765C211yesmaximal, characteristic, complemented
7#20287750C211yesmaximal, characteristic, complemented
8#20287714C211yesmaximal, characteristic, complemented
9#20287699C211yesmaximal, characteristic, complemented
10#20287559C211yesmaximal, characteristic, complemented
11#20287543C211yesmaximal, characteristic, complemented
12#20287533C211yesmaximal, characteristic, complemented
13#20287479C211yesmaximal, characteristic, complemented
14#20287472C211yesmaximal, characteristic, complemented
15#20287456C211yesmaximal, characteristic, complemented
16#20287407C211yesmaximal, characteristic, complemented
17#20287395C211yesmaximal, characteristic, complemented
18#20285821C211yesmaximal, characteristic, complemented
19#20285804C211yesmaximal, characteristic
20#20285793C211yesmaximal, characteristic, complemented
21#20285786C211yesmaximal, characteristic, complemented
22#20285716C211yesmaximal, characteristic, complemented
23#20285675C211yesmaximal, characteristic, complemented
24#20285014C211yesmaximal, characteristic, complemented
25#20284965C211yesmaximal, characteristic, complemented
26#20284943C211yesmaximal, characteristic, complemented
27#20284897C211yesmaximal, characteristic, complemented
28#20284821C211yesmaximal, characteristic, complemented
29#20284782C211yesmaximal, characteristic, complemented
30#20283811C211yesmaximal, characteristic, complemented
31C53×#3401C211yesmaximal, characteristic, complemented
32#16811375—21no—
33#16811374—21no—
34#16811359C2211yescharacteristic
35#16811356C2211yescharacteristic
36#16811355C2211yescharacteristic
37Q8×Dic106C2211yescharacteristic, complemented
38#16811351C2211yescharacteristic, complemented
39#16811349C2211yescharacteristic, complemented
40#16811348C2211yescharacteristic, complemented
41#16811346C2211yescharacteristic
42#16811345C2211yescharacteristic
43#16811343C2211yescharacteristic
44#16811342C2211yescharacteristic
45#16811342C2211yescharacteristic, complemented
46#16811342C2211yescharacteristic, complemented
47#16811340—21no—
48#16811332C2211yescharacteristic, complemented
49#16811306—21no—
50#16811303—21no—
51#16811302—21no—
52#16811301—21no—
53#16811296—21no—
54#16811252—21no—
55#16811242C2211yescharacteristic
56#16811241—21no—
57#16811238C2211yescharacteristic
58#16811237—21no—
59#16811235—21no—
60#16811234C2211yescharacteristic
61#16811231C2211yescharacteristic
62#16811230—21no—
63#16811230—21no—
64#16811193C2211yescharacteristic
65#16811186C2211yescharacteristic
66#16811177C2211yescharacteristic
67#16811177C2211yescharacteristic
68#16811153—21no—
69#16811152C2211yescharacteristic
70#16811150—21no—
71#124×D53C2211yescharacteristic
72#16811099C2211yescharacteristic
73#16811095C2211yescharacteristic
74C4×#11719947C2211yescharacteristic
75#16811016C2211yescharacteristic
76#16811014C2211yescharacteristic
77#16811014C2211yescharacteristic
78#16811014C2211yescharacteristic, complemented
79#16811006C2211yescharacteristic, complemented
80#16811005C2211yescharacteristic
81#16811005C2211yescharacteristic
82#16811002C2211yescharacteristic, complemented
83#16810994C2211yescharacteristic
84#16810992C2211yescharacteristic, complemented
85#16810986C2211yescharacteristic
86#16810984C2211yescharacteristic
87#16810983C2211yescharacteristic
88#16810981C2211yescharacteristic
89#16810981C2211yescharacteristic, complemented
90#16810978C2211yescharacteristic
91#16810977C2211yescharacteristic
92#16810977C2211yescharacteristic, complemented
93#16810976C2211yescharacteristic
94#16810972C2211yescharacteristic, complemented
95#16810969C2211yescharacteristic
96#16810967C2211yescharacteristic
97#16810963C2211yescharacteristic
98#16810962C2211yescharacteristic
99#16810945C2211yescharacteristic
100#16810933C2211yescharacteristic, complemented
101#16810931C2211yescharacteristic, complemented
102#16810928C2211yescharacteristic, complemented
103#16810924C2211yescharacteristic
104#16810923C2211yescharacteristic
105#16810923C2211yescharacteristic, complemented
106#16810919C2211yescharacteristic, complemented
107#16810912C2211yescharacteristic
108#16810908C2211yescharacteristic, complemented
109#16810907C2211yescharacteristic, complemented
110#16810901C2211yescharacteristic
111#16810901C2211yescharacteristic, complemented
112#16810847C2211yescharacteristic
113#16810846C2211yescharacteristic
114#16810846C2211yescharacteristic
115#16810845C2211yescharacteristic
116#16810845C2211yescharacteristic
117#16810843C2211yescharacteristic
118#16810843C2211yescharacteristic
119#16810843C2211yescharacteristic, complemented
120#16810843C2211yescharacteristic, complemented
121#16810842C2211yescharacteristic
122#16810842C2211yescharacteristic, complemented
123#16810842C2211yescharacteristic, complemented
124#16810842C2211yescharacteristic, complemented
125#16810840C2211yescharacteristic
126#16810837C2211yescharacteristic
127#16810836C2211yescharacteristic
128#16810836C2211yescharacteristic
129#16810836C2211yescharacteristic
130#16810834C2211yescharacteristic, complemented
131#16810832C2211yescharacteristic, complemented
132#16810832C2211yescharacteristic, complemented
133#16810831C2211yescharacteristic, complemented
134#16810831C2211yescharacteristic, complemented
135#16810831C2211yescharacteristic, complemented
136#16810828C2211yescharacteristic, complemented
137#16810826C2211yescharacteristic, complemented
138#16810825C2211yescharacteristic
139#16810821C2211yescharacteristic
140#16810820C2211yescharacteristic
141#16810816C2211yescharacteristic
142#16810786C2211yescharacteristic
143#16810782C2211yescharacteristic
144#16810782C2211yescharacteristic
145#16810780C2211yescharacteristic
146#16810777C2211yescharacteristic
147#16810777C2211yescharacteristic
148#16810775C2211yescharacteristic
149#16810772C2211yescharacteristic
150#16810772C2211yescharacteristic
151#16810765C2211yescharacteristic
152#16810760C2211yescharacteristic
153#16810755C2211yescharacteristic
154#16810753C2211yescharacteristic, complemented
155#16810751C2211yescharacteristic, complemented
156#16810751C2211yescharacteristic, complemented
157#16810750C2211yescharacteristic, complemented
158#16810750C2211yescharacteristic, complemented
159Q8×#88322C2211yescharacteristic, complemented
160#16810747C2211yescharacteristic, complemented
161#16810735C2211yescharacteristic, complemented
162#16810731C2211yescharacteristic, complemented
163#16810727C2211yescharacteristic, complemented
164#16810727C2211yescharacteristic, complemented
165#16810726C2211yescharacteristic
166#16810725C2211yescharacteristic
167#16810724C2211yescharacteristic
168#16810724C2211yescharacteristic, complemented
169#16810724C2211yescharacteristic, complemented
170#16810720C2211yescharacteristic, complemented
171C4×Dic212C2211yescharacteristic, complemented
172Q16×Dic53C2211yescharacteristic, complemented
173C4×#11719925C2211yescharacteristic, complemented
174C4×#11719925C2211yescharacteristic, complemented
175C4×#11719925C2211yescharacteristic, complemented
176#16810714C2211yescharacteristic, complemented
177SD16×Dic53C2211yescharacteristic
178C4×#11719923C2211yescharacteristic
179C4×#11719923C2211yescharacteristic, complemented
180#16810708C2211yescharacteristic
181C4×#11719922C2211yescharacteristic
182#16810685C2211yescharacteristic
183#16810685C2211yescharacteristic
184#16810683C2211yescharacteristic
185#16810683C2211yescharacteristic
186#16810679C2211yescharacteristic
187#16810674C2211yescharacteristic
188C53×#559C2211yescharacteristic
189C53×#556C2211yescharacteristic, complemented
190C53×#497C2211yescharacteristic, complemented
191C53×#496C2211yescharacteristic
192C53×#495C2211yescharacteristic
193C53×#464C2211yescharacteristic
194C53×#464C2211yescharacteristic, complemented
195C53×#463C2211yescharacteristic, complemented
196C53×#463C2211yescharacteristic, complemented
197C53×#461C2211yescharacteristic
198C53×#460C2211yescharacteristic
199C53×#446C2211yescharacteristic, complemented
200C53×#442C2211yescharacteristic
201C53×#441C2211yescharacteristic, complemented
202C4×SD16×C53C2211yescharacteristic, complemented
203C2×#11719947C2311yescharacteristic
204C2×Q8×D53C2311yescharacteristic
205C2×D4×D53C2311yescharacteristic
206C2×Dic212C2311yescharacteristic
207C2×Dic212C2311yescharacteristic
208C2×#11719925C2311yescharacteristic
209C2×#11719925C2311yescharacteristic
210C2×#11719925C2311yescharacteristic
211C2×#11719925C2311yescharacteristic
212C2×#11719925C2311yescharacteristic
213C2×#11719913C2311yescharacteristic
214C2×#11719923C2311yescharacteristic
215C2×#11719923C2311yescharacteristic
216C2×#11719923C2311yescharacteristic
217C2×#11719923C2311yescharacteristic
218C2×#11719924C2311yescharacteristic
219C2×#11719924C2311yescharacteristic
220C2×#11719922C2311yescharacteristic
221#13133217—21no—
222#13133217C2311yescharacteristic
223#13133217C2311yescharacteristic
224#13133216—21no—
225#13133216—21no—
226#13133216—21no—
227#13133216D411yescharacteristic
228#13133216C2311yescharacteristic
229#13133216C2311yescharacteristic
230#13133215—21no—
231#13133215D411yescharacteristic
232#13133215C2311yescharacteristic
233#13133215C2311yescharacteristic
234#13133215C2311yescharacteristic
235#13133213C2311yescharacteristic
236#13133212—21no—
237#13133212—21no—
238#13133212—21no—
239#13133212—21no—
240#13133212—21no—
241#13133212—21no—
242#13133211—21no—
243#13133211—21no—
244#13133210—21no—
245#13133210—21no—
246#13133210—21no—
247#13133210—21no—
248#13133210—21no—
249#13133210—21no—
250#13133210—21no—
251#13133210—21no—
252#13133210—21no—
253#13133210—21no—
254#13133210—21no—
255#13133209—21no—
256#13133209—21no—
257#13133209C2311yescharacteristic
258#13133209C2311yescharacteristic
259#13133208—21no—
260#13133208—21no—
261#13133208C2311yescharacteristic
262#13133207—21no—
263#13133207—21no—
264#13133207—21no—
265#13133207—21no—
266#13133207—21no—
267#13133207—21no—
268#13133207—21no—
269#13133207—21no—
270#13133207D411yescharacteristic
271#13133207D411yescharacteristic
272#13133206C2311yescharacteristic
273#13133205C2311yescharacteristic
274#13133205C2311yescharacteristic
275#13133204—21no—
276#13133204C2311yescharacteristic
277#13133204C2311yescharacteristic
278#13133204C2311yescharacteristic
279#13133204C2311yescharacteristic
280#13133203—21no—
281#13133203—21no—
282#13133203—21no—
283#13133203—21no—
284#13133203—21no—
285#13133203—21no—
286#13133201—21no—
287#13133201—21no—
288#13133200—21no—
289#13133200—21no—
290#13133199—21no—
291#13133199—21no—
292#13133199—21no—
293#13133199—21no—
294#13133199—21no—
295#13133198—21no—
296#13133198—21no—
297#13133197D411yescharacteristic
298#13133197C2311yescharacteristic
299#13133196—21no—
300#13133196—21no—
301#13133196—21no—
302#13133195—21no—
303#13133195—21no—
304#13133195D411yescharacteristic
305#13133195D411yescharacteristic
306#13133194—21no—
307#13133194—21no—
308#13133194—21no—
309#13133194—21no—
310#13133194—21no—
311#13133194—21no—
312#13133194—21no—
313#13133194—21no—
314#13133193—21no—
315#13133193D411yescharacteristic
316#13133193C2311yescharacteristic
317#13133193C2311yescharacteristic
318#13133189—21no—
319#13133189—21no—
320#13133188C2311yescharacteristic
321#13133185—21no—
322#13133185—21no—
323Q8×Dic53C2311yescharacteristic
324Q8×Dic53C2311yescharacteristic
325Q8×Dic53C2311yescharacteristic
326Q8×Dic53C2311yescharacteristic
327Q8×Dic53C2311yescharacteristic
328C4×Dic106—21no—
329C4×Dic106—21no—
330C4×Dic106—21no—
331C4×Dic106—21no—
332C4×Dic106C2311yescharacteristic
333C4×Dic106C2311yescharacteristic
334C4×Dic106C2311yescharacteristic
335C4×Dic106C2311yescharacteristic
336C4×Dic106C2311yescharacteristic
337C4×Dic106C2311yescharacteristic
338C4×Dic106C2311yescharacteristic
339C4×Dic106C2311yescharacteristic
340#13133182—21no—
341#13133182—21no—
342#13133182—21no—
343#13133182C2311yescharacteristic
344#13133182C2311yescharacteristic
345C4×D212C2311yescharacteristic
346D4×Dic53—21no—
347D4×Dic53C2311yescharacteristic
348D4×Dic53C2311yescharacteristic
349D4×Dic53C2311yescharacteristic
350D4×Dic53C2311yescharacteristic
351#13133179C2311yescharacteristic
352C4×C22⋊D53—21no—
353C4×C22⋊D53—21no—
354C4×C22⋊D53—21no—
355#13133177—21no—
356#13133177—21no—
357#13133177—21no—
358#13133177—21no—
359#13133176—21no—
360#13133175—21no—
361#13133175—21no—
362#13133175C2311yescharacteristic
363#13133174—21no—
364#13133174—21no—
365#13133174—21no—
366#13133174C2311yescharacteristic
367#13133174C2311yescharacteristic
368#13133173—21no—
369#13133173—21no—
370#13133173—21no—
371#13133173—21no—
372#13133173—21no—
373C2×#11719919—21no—
374C2×#11719921—21no—
375C22⋊C4×D53—21no—
376C22⋊C4×D53—21no—
377C22⋊C4×D53—21no—
378C2×C4×Dic53—21no—
379C42×D53C2311yescharacteristic
380#13133151C2311yescharacteristic
381#13133151C2311yescharacteristic
382#13133150C2311yescharacteristic
383#13133150C2311yescharacteristic
384#13133149C2311yescharacteristic
385#13133148C2311yescharacteristic
386#13133148C2311yescharacteristic
387C4⋊#88322C2311yescharacteristic
388C4⋊#88322C2311yescharacteristic
389C4⋊#88322C2311yescharacteristic
390#13133146C2311yescharacteristic
391#13133146C2311yescharacteristic
392#13133146C2311yescharacteristic
393#13133146C2311yescharacteristic
394#13133146C2311yescharacteristic
395#13133146C2311yescharacteristic
396#13133142C2311yescharacteristic
397#13133142C2311yescharacteristic
398#13133142C2311yescharacteristic
399#13133142C2311yescharacteristic
400#13133142C2311yescharacteristic
401#13133142C2311yescharacteristic
402#13133142C2311yescharacteristic
403#13133141C2311yescharacteristic
404#13133141C2311yescharacteristic
405#13133141C2311yescharacteristic
406#13133141C2311yescharacteristic
407#13133141C2311yescharacteristic
408#13133140C2311yescharacteristic
409#13133140C2311yescharacteristic
410#13133140C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133138C2311yescharacteristic
415#13133138C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133138C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133129C2311yescharacteristic
423#13133129C2311yescharacteristic
424#13133129C2311yescharacteristic
425#13133129C2311yescharacteristic
426#13133127C2311yescharacteristic
427#13133127C2311yescharacteristic
428#13133127C2311yescharacteristic
429#13133127C2311yescharacteristic
430C4×#88322C2311yescharacteristic
431C4×#88322C2311yescharacteristic
432C4×#88322C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C2×Q16×C53C2311yescharacteristic
436C2×Q16×C53C2311yescharacteristic
437C2×SD16×C53C2311yescharacteristic
438C2×SD16×C53C2311yescharacteristic
439C2×SD16×C53C2311yescharacteristic
440C2×SD16×C53C2311yescharacteristic
441C2×SD16×C53C2311yescharacteristic
442C2×D8×C53C2311yescharacteristic
443C2×D8×C53C2311yescharacteristic
444C4⋊Q8×C53C2311yescharacteristic
445#127×C53C2311yescharacteristic
446#126×C53—21no—
447#126×C53—21no—
448#124×C53—21no—
449#124×C53C2311yescharacteristic
450#124×C53C2311yescharacteristic
451#124×C53C2311yescharacteristic
452#124×C53C2311yescharacteristic
453#123×C53—21no—
454#123×C53—21no—
455C22⋊Q8×C53—21no—
456C4×Q8×C53C2311yescharacteristic
457C4×Q8×C53C2311yescharacteristic
458C4×Q8×C53C2311yescharacteristic
459C4×Q8×C53C2311yescharacteristic
460C4×D4×C53—21no—
461C4×D4×C53C2311yescharacteristic
462C4×D4×C53C2311yescharacteristic
463C4×D4×C53C2311yescharacteristic
464#117×C53—21no—
465#106×C53C2311yescharacteristic
466C4⋊C8×C53C2311yescharacteristic
467C4⋊C8×C53C2311yescharacteristic
468C4⋊C8×C53C2311yescharacteristic
469#103×C53C2311yescharacteristic
470#103×C53C2311yescharacteristic
471#103×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#97×C53C2311yescharacteristic
476#97×C53C2311yescharacteristic
477C4×C8×C53C2311yescharacteristic
478C23×D53—21no—
479C2×Q8×C53C2×D411yescharacteristic
480C2×Q8×C53C2411yescharacteristic
481C2×Q8×C53C2411yescharacteristic
482C2×Q8×C53C2411yescharacteristic
483C2×D4×C53—21no—
484C2×D4×C53—21no—
485C2×D4×C53C2411yescharacteristic
486C2×D4×C53C2411yescharacteristic
487C2×D4×C53C2411yescharacteristic
488C22×C4×C53—21no—
489C22×C4×C53—21no—
490C22×C4×C53—21no—
491C2×C22⋊D53—21no—
492C2×C22⋊D53—21no—
493C2×C22⋊D53—21no—
494C2×C22⋊D53—21no—
495C2×C22⋊D53—21no—
496C22×Dic53—21no—
497C22×Dic53—21no—
498C22×Dic53—21no—
499C22×Dic53—21no—
500C22×Dic53—21no—
501Q8×D53—41no—
502Q8×D53—41no—
503#11719947—41no—
504#11719947—41no—
505D4×D53—41no—
506D4×D53—41no—
507C2×D212C2411yescharacteristic
508C2×C4×D53—21no—
509C2×C4×D53—21no—
510C2×C4×D53—21no—
511C2×C4×D53C2×D411yescharacteristic
512C2×C4×D53C2×D411yescharacteristic
513C2×C4×D53C2411yescharacteristic
514C2×Dic106—21no—
515C2×Dic106—21no—
516C2×Dic106—21no—
517C2×Dic106—21no—
518C2×Dic106C2×D411yescharacteristic
519C2×Dic106C2×D411yescharacteristic
520C2×Dic106C2×D411yescharacteristic
521C2×Dic106C2411yescharacteristic
522C2×Dic106C2411yescharacteristic
523C2×Dic106C2411yescharacteristic
524Q16×C53—41no—
525Q16×C53—41no—
526SD16×C53—41no—
527SD16×C53—41no—
528SD16×C53—41no—
529SD16×C53—41no—
530SD16×C53—41no—
531D8×C53—41no—
532D8×C53—41no—
533C2×C8×C53C2411yescharacteristic
534C2×C8×C53C2411yescharacteristic
535C2×C8×C53C2411yescharacteristic
536C2×C8×C53C2411yescharacteristic
537C4⋊C4×C53—21no—
538C4⋊C4×C53—21no—
539C4⋊C4×C53—21no—
540C4⋊C4×C53—21no—
541C4⋊C4×C53—21no—
542C4⋊C4×C53C2×D411yescharacteristic
543C4⋊C4×C53C2×D411yescharacteristic
544C4⋊C4×C53C2×D411yescharacteristic
545C4⋊C4×C53C2411yescharacteristic
546C4⋊C4×C53C2411yescharacteristic
547C22⋊C4×C53—21no—
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×C53—21no—
558C42×C53—21no—
559C42×C53—21no—
560C42×C53—21no—
561C42×C53C2411yescharacteristic
562C42×C53C2411yescharacteristic
563C42×C53C2411yescharacteristic
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—
577#11719925—41no—
578#11719925—41no—
579#11719925—41no—
580#11719925—41no—
581#11719925—41no—
582#11719924—41no—
583#11719924—41no—
584#11719923—41no—
585#11719923—41no—
586#11719923—41no—
587#11719923—41no—
588#11719922—41no—
589#11719921—21no—
590#11719921—21no—
591#11719921—21no—
592#11719921—21no—
593#11719921—21no—
594#11719921—21no—
595#11719921—21no—
596#11719921—21no—
597#11719921—21no—
598#11719921—21no—
599#11719921—21no—
600#11719921—21no—
601#11719921C2×D411yescharacteristic
602#11719921C2×D411yescharacteristic
603#11719921C2×D411yescharacteristic
604#11719921C2×D411yescharacteristic
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⋊Dic53—21no—
614C4⋊Dic53—21no—
615C4⋊Dic53C2×D411yescharacteristic
616C4⋊Dic53C2×D411yescharacteristic
617C4⋊Dic53C2×D411yescharacteristic
618C4⋊Dic53C2411yescharacteristic
619C4⋊Dic53C2411yescharacteristic
620C4⋊Dic53C2411yescharacteristic
621C4⋊Dic53C2411yescharacteristic
622#11719919—21no—
623#11719919—21no—
624#11719919—21no—
625#11719919—21no—
626#11719919—21no—
627#11719919—21no—
628#11719919—21no—
629#11719919—21no—
630#11719919—21no—
631#11719919—21no—
632#11719919—21no—
633#11719919—21no—
634#11719919—21no—
635#11719919—21no—
636#11719919—21no—
637#11719919—21no—
638#11719919—21no—
639#11719919—21no—
640#11719919—21no—
641#11719919—21no—
642#11719919—21no—
643#11719919—21no—
644#11719919C2×D411yescharacteristic
645#11719919C2×D411yescharacteristic
646#11719919C2×D411yescharacteristic
647#11719919C2×D411yescharacteristic
648#11719919C2×D411yescharacteristic
649#11719919C2×D411yescharacteristic
650#11719919C2×D411yescharacteristic
651#11719919C2×D411yescharacteristic
652#11719919C2×D411yescharacteristic
653#11719919C2×D411yescharacteristic
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×Dic53—21no—
666C4×Dic53—21no—
667C4×Dic53C2×D411yescharacteristic
668C4×Dic53C2×D411yescharacteristic
669C4×Dic53C2411yescharacteristic
670C4×Dic53C2411yescharacteristic
671C4×Dic53C2411yescharacteristic
672C2×#88322C2411yescharacteristic
673C2×#88322C2411yescharacteristic
674C2×#88322C2411yescharacteristic
675C2×#88322C2411yescharacteristic
676Dic212—41no—
677Dic212—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—21no—
690Q8×C53—21no—
691Q8×C53—21no—
692Q8×C53—21no—
693Q8×C53—41no—
694D4×C53—21no—
695D4×C53—21no—
696D4×C53—21no—
697D4×C53—21no—
698D4×C53—21no—
699D4×C53—21no—
700D4×C53—81no—
701D4×C53—81no—
702C2×C4×C53—21no—
703C2×C4×C53—21no—
704C2×C4×C53—21no—
705C2×C4×C53—21no—
706C2×C4×C53—21no—
707C2×C4×C53—81no—
708C2×C4×C53—81no—
709C2×C4×C53—81no—
710C2×C4×C53C22×D411yescharacteristic
711C2×C4×C53C22×D411yescharacteristic
712C2×C4×C53C22×D411yescharacteristic
713C2×C4×C53C22×D411yescharacteristic
714C2×C4×C53C22×D411yescharacteristic
715C2×C4×C53C22×D411yescharacteristic
716C2×C4×C53C2511yescharacteristic
717C22⋊D53—42no—
718C22⋊D53—42no—
719C22⋊D53—81no—
720C22⋊D53—81no—
721C22⋊D53—81no—
722C2×Dic53—21no—
723C2×Dic53—21no—
724C2×Dic53—21no—
725C2×Dic53—21no—
726C2×Dic53—21no—
727C2×Dic53—21no—
728C2×Dic53—21no—
729C2×Dic53—42no—
730C2×Dic53—42no—
731C2×Dic53—81no—
732C2×Dic53—81no—
733C2×Dic53—81no—
734C2×Dic53C22×D411yescharacteristic
735C2×Dic53C22×D411yescharacteristic
736C2×Dic53C22×D411yescharacteristic
737C2×Dic53C22×D411yescharacteristic
738C2×Dic53C22×D411yescharacteristic
739C2×Dic53C22×D411yescharacteristic
740C2×Dic53C22×D411yescharacteristic
741D212—21no—
742D212—21no—
743C4×D53—21no—
744C4×D53—21no—
745C4×D53—41no—
746C4×D53—41no—
747C4×D53—42no—
748C4×D53—81no—
749C4×D53—81no—
750Dic106—21no—
751Dic106—21no—
752Dic106—21no—
753Dic106—21no—
754Dic106—21no—
755Dic106—21no—
756Dic106—41no—
757Dic106—41no—
758Dic106—41no—
759Dic106—42no—
760Dic106—81no—
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#3401D5311yescharacteristic, complemented
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#3370—531no—
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—1061no—
872#556C2×D5311yescharacteristic, complemented
873#554—531no—
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#497C2×D5311yescharacteristic, complemented
905#496C2×D5311yescharacteristic
906#495—531no—
907#495—531no—
908#495—531no—
909#495C2×D5311yescharacteristic
910#494—531no—
911#492—531no—
912#491—531no—
913#490—531no—
914#489—531no—
915#489—531no—
916#489—531no—
917#489—531no—
918#488—531no—
919#488—531no—
920#488—531no—
921#488—531no—
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#479—531no—
931#478—531no—
932#478—531no—
933#478—531no—
934#477—531no—
935#476—531no—
936#475—531no—
937#475—531no—
938#474—531no—
939#474—531no—
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#464C2×D5311yescharacteristic
954#464C2×D5311yescharacteristic, complemented
955#463—531no—
956#463—531no—
957#463—531no—
958#463—531no—
959#463—531no—
960#463C2×D5311yescharacteristic, complemented
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#461C2×D5311yescharacteristic
972#460—531no—
973#460—531no—
974#460C2×D5311yescharacteristic
975#459—531no—
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
998#441—531no—
999#441—531no—
1000#441—531no—
1001#441C2×D5311yescharacteristic, complemented
1002#440—531no—
1003#440—531no—
1004#440—531no—
1005#440—531no—
1006#440—531no—
1007#440—531no—
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×SD16C2×D5311yescharacteristic, complemented
1019C4×D8—531no—
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×Q16C22×D5311yescharacteristic
1038C2×Q16C22×D5311yescharacteristic
1039C2×SD16—531no—
1040C2×SD16—531no—
1041C2×SD16—531no—
1042C2×SD16—531no—
1043C2×SD16—531no—
1044C2×SD16—531no—
1045C2×SD16—531no—
1046C2×SD16C22×D5311yescharacteristic
1047C2×SD16C22×D5311yescharacteristic
1048C2×SD16C22×D5311yescharacteristic
1049C2×SD16C22×D5311yescharacteristic
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—21no—
1072#126—21no—
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—531no—
1096#125—531no—
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#125—1061no—
1108#125—1061no—
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—1061no—
1118#124—1061no—
1119#124—1061no—
1120#124—1061no—
1121#124—1061no—
1122#124—1061no—
1123#124—1061no—
1124#124C22×D5311yescharacteristic
1125#124C22×D5311yescharacteristic
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—531no—
1143C22⋊Q8—531no—
1144C22⋊Q8—531no—
1145C22⋊Q8—531no—
1146C22⋊Q8—531no—
1147C22⋊Q8—531no—
1148C22⋊Q8—531no—
1149C22⋊Q8—1061no—
1150C22⋊Q8—1061no—
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—1061no—
1184C4×Q8—1061no—
1185C4×Q8—1061no—
1186C4×Q8—1061no—
1187C4×Q8—1061no—
1188C4×Q8—1061no—
1189C4×Q8—1061no—
1190C4×Q8C22×D5311yescharacteristic
1191C4×Q8C22×D5311yescharacteristic
1192C4×Q8C22×D5311yescharacteristic
1193C4×Q8C22×D5311yescharacteristic
1194C4×D4—21no—
1195C4×D4—531no—
1196C4×D4—531no—
1197C4×D4—531no—
1198C4×D4—531no—
1199C4×D4—531no—
1200C4×D4—531no—
1201C4×D4—1061no—
1202C4×D4—1061no—
1203C4×D4—1061no—
1204C4×D4—1061no—
1205C4×D4—1061no—
1206C4×D4—1061no—
1207C4×D4—1061no—
1208C4×D4—1061no—
1209C4×D4C22×D5311yescharacteristic
1210C4×D4C22×D5311yescharacteristic
1211C4×D4C22×D5311yescharacteristic
1212#117—21no—
1213#117—531no—
1214#117—531no—
1215#117—531no—
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—1061no—
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#107—531no—
1237#107—531no—
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#102—531no—
1280#102—531no—
1281#102—531no—
1282#102—531no—
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—531no—
1306C2×Q8—531no—
1307C2×Q8—531no—
1308C2×Q8—531no—
1309C2×Q8—531no—
1310C2×Q8—531no—
1311C2×Q8—1061no—
1312C2×Q8—1061no—
1313C2×Q8—1061no—
1314C2×Q8—1061no—
1315C2×Q8—2121no—
1316C2×Q8—2121no—
1317C2×Q8D4×D5311yescharacteristic
1318C2×Q8C23×D5311yescharacteristic
1319C2×Q8C23×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—531no—
1338C22×C4—531no—
1339C22×C4—531no—
1340C22×C4—1061no—
1341C22×C4—1061no—
1342C22×C4—1061no—
1343C22×C4—1061no—
1344C22×C4—1061no—
1345C22×C4—1061no—
1346C22×C4—1061no—
1347C22×C4—1061no—
1348Q16—41no—
1349Q16—41no—
1350Q16—2121no—
1351Q16—2121no—
1352Q16—2121no—
1353Q16—2121no—
1354Q16—2121no—
1355Q16—2121no—
1356Q16—2121no—
1357SD16—41no—
1358SD16—41no—
1359SD16—41no—
1360SD16—41no—
1361SD16—41no—
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—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—531no—
1396C4⋊C4—531no—
1397C4⋊C4—531no—
1398C4⋊C4—531no—
1399C4⋊C4—531no—
1400C4⋊C4—531no—
1401C4⋊C4—531no—
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⋊C4D4×D5311yescharacteristic
1435C4⋊C4D4×D5311yescharacteristic
1436C4⋊C4D4×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—21no—
1449C22⋊C4—21no—
1450C22⋊C4—531no—
1451C22⋊C4—531no—
1452C22⋊C4—531no—
1453C22⋊C4—531no—
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—21no—
1481C42—21no—
1482C42—531no—
1483C42—531no—
1484C42—531no—
1485C42—531no—
1486C42—531no—
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—21no—
1514Q8—21no—
1515Q8—21no—
1516Q8—21no—
1517Q8—41no—
1518Q8—1061no—
1519Q8—1061no—
1520Q8—1061no—
1521Q8—1061no—
1522Q8—1061no—
1523Q8—1061no—
1524Q8—4241no—
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—81no—
1552C2×C4—81no—
1553C2×C4—81no—
1554C2×C4—531no—
1555C2×C4—531no—
1556C2×C4—531no—
1557C2×C4—531no—
1558C2×C4—531no—
1559C2×C4—531no—
1560C2×C4—531no—
1561C2×C4—1061no—
1562C2×C4—1061no—
1563C2×C4—1061no—
1564C2×C4—1061no—
1565C2×C4—1061no—
1566C2×C4—1061no—
1567C2×C4—1061no—
1568C2×C4—1061no—
1569C2×C4—1061no—
1570C2×C4—4241no—
1571C2×C4—4241no—
1572C2×C4—4241no—
1573C2×C4—4241no—
1574C2×C4—4241no—
1575C2×C4—2121no—
1576C2×C4—2121no—
1577C2×C4—2122no—
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#1681145811yescharacteristic
1638C4#1681145911yescharacteristic
1639C2—81no—
1640C2—81no—
1641C2—81no—
1642C2—4241no—
1643C2—2121no—
1644C2#2028836811yescharacteristic
1645C2#2028948811yescharacteristic
1646C2#2028949711yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3401C2
socleC22×C53C23×D4
prime radical#20285804C2
hypercenter#3401D53
hypocenterC53#61925
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3401

Complements

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

NH ≅ G/Ntype
1. #20289202C2semidirect
2. #20288608C2semidirect
3. #20287797C2semidirect
4. #20287794C2semidirect
5. #20287776C2semidirect
6. #20287765C2semidirect
7. #20287750C2semidirect
8. #20287714C2semidirect
9. #20287699C2semidirect
10. #20287559C2semidirect
11. #20287543C2semidirect
12. #20287533C2semidirect
13. #20287479C2semidirect
14. #20287472C2semidirect
15. #20287456C2semidirect
16. #20287407C2semidirect
17. #20287395C2semidirect
18. #20285821C2semidirect
20. #20285793C2semidirect
21. #20285786C2semidirect
22. #20285716C2semidirect
23. #20285675C2semidirect
24. #20285014C2semidirect
25. #20284965C2semidirect
26. #20284943C2semidirect
27. #20284897C2semidirect
28. #20284821C2semidirect
29. #20284782C2semidirect
30. #20283811C2semidirect
31. C53×#3401C2semidirect
37. Q8×Dic106C22semidirect
38. #16811351C22semidirect
39. #16811349C22semidirect
40. #16811348C22semidirect
45. #16811342C22semidirect
46. #16811342C22semidirect
48. #16811332C22semidirect
78. #16811014C22semidirect
79. #16811006C22semidirect
82. #16811002C22semidirect
84. #16810992C22semidirect
89. #16810981C22semidirect
92. #16810977C22semidirect
94. #16810972C22semidirect
100. #16810933C22semidirect
101. #16810931C22semidirect
102. #16810928C22semidirect
105. #16810923C22semidirect
106. #16810919C22semidirect
108. #16810908C22semidirect
109. #16810907C22semidirect
111. #16810901C22semidirect
119. #16810843C22semidirect
120. #16810843C22semidirect
122. #16810842C22semidirect
123. #16810842C22semidirect
124. #16810842C22semidirect
130. #16810834C22semidirect
131. #16810832C22semidirect
132. #16810832C22semidirect
133. #16810831C22semidirect
134. #16810831C22semidirect
135. #16810831C22semidirect
136. #16810828C22semidirect
137. #16810826C22semidirect
154. #16810753C22semidirect
155. #16810751C22semidirect
156. #16810751C22semidirect
157. #16810750C22semidirect
158. #16810750C22semidirect
159. Q8×#88322C22semidirect
160. #16810747C22semidirect
161. #16810735C22semidirect
162. #16810731C22semidirect
163. #16810727C22semidirect
164. #16810727C22semidirect
168. #16810724C22semidirect
169. #16810724C22semidirect
170. #16810720C22semidirect
171. C4×Dic212C22semidirect
172. Q16×Dic53C22semidirect
173. C4×#11719925C22semidirect
174. C4×#11719925C22semidirect
175. C4×#11719925C22semidirect
176. #16810714C22semidirect
179. C4×#11719923C22semidirect
189. C53×#556C22semidirect
190. C53×#497C22semidirect
194. C53×#464C22semidirect
195. C53×#463C22semidirect
196. C53×#463C22semidirect
199. C53×#446C22semidirect
201. C53×#441C22semidirect
202. C4×SD16×C53C22semidirect
821. #3401D53semidirect
872. #556C2×D53semidirect
904. #497C2×D53semidirect
954. #464C2×D53semidirect
960. #463C2×D53semidirect
961. #463C2×D53semidirect
993. #446C2×D53semidirect
1001. #441C2×D53semidirect
1018. C4×SD16C2×D53semidirect
1026. C53#61925semidirect

Maximal subgroups

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

subgroupindex
#202892022
#202886082
#202877972
#202877942
#202877762
#202877652
#202877502
#202877142
#202876992
#202875592
#202875432
#202875332
#202874792
#202874722
#202874562
#202874072
#202873952
#202858212
#202858042
#202857932
#202857862
#202857162
#202856752
#202850142
#202849652
#202849432
#202848972
#202848212
#202847822
#202838112
C53×#34012
#6192553