Finite Group Databasebeta

← #28281315

Subgroups — #28281315

Order 13568.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289352C211yesmaximal, characteristic, complemented
2#20288655C211yesmaximal, characteristic, complemented
3#20287671C211yesmaximal, characteristic, complemented
4#20287591C211yesmaximal, characteristic, complemented
5#20287479C211yesmaximal, characteristic, complemented
6#20287376C211yesmaximal, characteristic, complemented
7#20287303C211yesmaximal, characteristic, complemented
8#20287280C211yesmaximal, characteristic, complemented
9#20287279C211yesmaximal, characteristic, complemented
10#20287238C211yesmaximal, characteristic, complemented
11#20287158C211yesmaximal, characteristic, complemented
12#20287119C211yesmaximal, characteristic, complemented
13#20286939C211yesmaximal, characteristic, complemented
14#20286935C211yesmaximal, characteristic, complemented
15#20286921C211yesmaximal, characteristic, complemented
16#20286864C211yesmaximal, characteristic, complemented
17#20286849C211yesmaximal, characteristic, complemented
18#20286555C211yesmaximal, characteristic, complemented
19#20286173C211yesmaximal, characteristic, complemented
20#20286123C211yesmaximal, characteristic, complemented
21#20286111C211yesmaximal, characteristic, complemented
22#20286012C211yesmaximal, characteristic, complemented
23#20285973C211yesmaximal, characteristic, complemented
24#20285896C211yesmaximal, characteristic, complemented
25#20284989C211yesmaximal, characteristic, complemented
26#20284898C211yesmaximal, characteristic, complemented
27#20284567C211yesmaximal, characteristic, complemented
28#20284543C211yesmaximal, characteristic, complemented
29#20284512C211yesmaximal, characteristic, complemented
30#20283866C211yesmaximal, characteristic, complemented
31C53×#3105C211yesmaximal, characteristic, complemented
32#16811376—21no—
33#16811370—21no—
34#16811356C2211yescharacteristic
35#16811349C2211yescharacteristic, complemented
36#16811344C2211yescharacteristic
37#16811341—21no—
38#16811337C2211yescharacteristic, complemented
39#16811332C2211yescharacteristic
40#16811332C2211yescharacteristic, complemented
41#16811323C2211yescharacteristic
42#16811323C2211yescharacteristic, complemented
43#16811322—21no—
44#16811320C2211yescharacteristic
45#16811314C2211yescharacteristic, complemented
46#16811308C2211yescharacteristic
47#16811307C2211yescharacteristic, complemented
48#16811306—21no—
49#16811302—21no—
50#16811299—21no—
51#16811274C2211yescharacteristic
52#16811268C2211yescharacteristic
53#16811267C2211yescharacteristic
54#16811263—21no—
55D4×C22⋊D53C2211yescharacteristic
56#16811253C2211yescharacteristic, complemented
57#16811253C2211yescharacteristic, complemented
58#16811242C2211yescharacteristic, complemented
59#16811242C2211yescharacteristic, complemented
60#16811239—21no—
61#16811238—21no—
62#16811238C2211yescharacteristic
63#16811230—21no—
64#16811224C2211yescharacteristic
65#16811215—21no—
66#16811215—21no—
67#16811206—21no—
68#16811180C2211yescharacteristic, complemented
69#16811157C2211yescharacteristic
70#16811157C2211yescharacteristic
71#16811134—21no—
72C2×#13133200—21no—
73#16811102C2211yescharacteristic
74#16811095C2211yescharacteristic
75#16811031C2211yescharacteristic, complemented
76#16811031C2211yescharacteristic, complemented
77#16811025C2211yescharacteristic, complemented
78#16811025C2211yescharacteristic, complemented
79#16811023C2211yescharacteristic, complemented
80#16811020C2211yescharacteristic, complemented
81#16810986C2211yescharacteristic
82#16810981C2211yescharacteristic, complemented
83#16810978C2211yescharacteristic, complemented
84#16810978C2211yescharacteristic, complemented
85#16810976C2211yescharacteristic, complemented
86#16810968C2211yescharacteristic
87#16810966C2211yescharacteristic, complemented
88#16810965C2211yescharacteristic, complemented
89#16810965C2211yescharacteristic, complemented
90#16810962C2211yescharacteristic, complemented
91#16810955C2211yescharacteristic, complemented
92#16810952C2211yescharacteristic, complemented
93#16810949C2211yescharacteristic, complemented
94#16810948C2211yescharacteristic
95#16810948C2211yescharacteristic
96#16810946C2211yescharacteristic
97#16810946C2211yescharacteristic, complemented
98#16810946C2211yescharacteristic, complemented
99#16810940C2211yescharacteristic
100#16810940C2211yescharacteristic, complemented
101#16810940C2211yescharacteristic, complemented
102#16810938C2211yescharacteristic, complemented
103#16810933C2211yescharacteristic, complemented
104#16810932C2211yescharacteristic, complemented
105#16810930C2211yescharacteristic, complemented
106#16810927C2211yescharacteristic, complemented
107#16810926C2211yescharacteristic, complemented
108#16810923C2211yescharacteristic
109#16810923C2211yescharacteristic
110#16810923C2211yescharacteristic, complemented
111#16810923C2211yescharacteristic, complemented
112#16810923C2211yescharacteristic, complemented
113#16810921C2211yescharacteristic
114#16810921C2211yescharacteristic
115#16810921C2211yescharacteristic, complemented
116#16810920C2211yescharacteristic, complemented
117#16810919C2211yescharacteristic, complemented
118#16810917C2211yescharacteristic, complemented
119#16810916C2211yescharacteristic, complemented
120#16810914C2211yescharacteristic, complemented
121#16810913C2211yescharacteristic
122#16810913C2211yescharacteristic, complemented
123#16810912C2211yescharacteristic, complemented
124#16810909C2211yescharacteristic, complemented
125#16810904C2211yescharacteristic, complemented
126#16810903C2211yescharacteristic
127#16810903C2211yescharacteristic, complemented
128#16810901C2211yescharacteristic
129#16810901C2211yescharacteristic
130#16810901C2211yescharacteristic, complemented
131#16810879C2211yescharacteristic, complemented
132#16810875C2211yescharacteristic, complemented
133#16810874C2211yescharacteristic
134#16810871C2211yescharacteristic
135#16810868C2211yescharacteristic, complemented
136#16810867C2211yescharacteristic, complemented
137#16810866C2211yescharacteristic
138#16810866C2211yescharacteristic, complemented
139#16810863C2211yescharacteristic, complemented
140#16810856C2211yescharacteristic
141#16810856C2211yescharacteristic, complemented
142#16810855C2211yescharacteristic, complemented
143#16810845C2211yescharacteristic, complemented
144#16810843C2211yescharacteristic, complemented
145#16810842C2211yescharacteristic, complemented
146#16810838C2211yescharacteristic, complemented
147#16810836C2211yescharacteristic, complemented
148#16810835C2211yescharacteristic, complemented
149#16810821C2211yescharacteristic
150#16810816C2211yescharacteristic
151#16810782C2211yescharacteristic
152#16810772C2211yescharacteristic
153#16810765C2211yescharacteristic
154#16810755C2211yescharacteristic
155#16810753C2211yescharacteristic, complemented
156C8×Dic106C2211yescharacteristic, complemented
157#16810735C2211yescharacteristic
158#16810735C2211yescharacteristic
159#16810727C2211yescharacteristic, complemented
160#16810726C2211yescharacteristic, complemented
161#16810714C2211yescharacteristic, complemented
162SD16×Dic53C2211yescharacteristic
163SD16×Dic53C2211yescharacteristic
164#16810703C2211yescharacteristic, complemented
165#16810702C2211yescharacteristic, complemented
166#16810698C2211yescharacteristic
167#16810698C2211yescharacteristic, complemented
168#16810697C2211yescharacteristic
169#16810697C2211yescharacteristic, complemented
170C8×D212C2211yescharacteristic, complemented
171#16810683C2211yescharacteristic, complemented
172#16810683C2211yescharacteristic, complemented
173#16810663C2211yescharacteristic, complemented
174#16810663C2211yescharacteristic, complemented
175#16810662C2211yescharacteristic, complemented
176#16810662C2211yescharacteristic, complemented
177#16810660C2211yescharacteristic, complemented
178#107×D53C2211yescharacteristic, complemented
179#16810648C2211yescharacteristic, complemented
180#16810648C2211yescharacteristic, complemented
181#16810647C2211yescharacteristic, complemented
182#16810628C2211yescharacteristic
183#16810628C2211yescharacteristic
184#16810626C2211yescharacteristic
185#16810621C2211yescharacteristic
186#16810616C2211yescharacteristic
187#102×D53C2211yescharacteristic
188C53×#529C2211yescharacteristic, complemented
189C2×C4×D4×C53C2211yescharacteristic
190C53×#484C2211yescharacteristic, complemented
191C53×#481C2211yescharacteristic, complemented
192C53×#478C2211yescharacteristic
193C53×#478C2211yescharacteristic, complemented
194C53×#463C2211yescharacteristic
195C53×#463C2211yescharacteristic, complemented
196C53×#450C2211yescharacteristic
197C53×#447C2211yescharacteristic
198C4×SD16×C53C2211yescharacteristic
199C4×SD16×C53C2211yescharacteristic, complemented
200C4×D8×C53C2211yescharacteristic
201C4×D8×C53C2211yescharacteristic, complemented
202C53×#431C2211yescharacteristic, complemented
203C2×#11719945—21no—
204C2×#11719947C2311yescharacteristic
205C22×C22⋊D53—21no—
206C2×D4×D53C2311yescharacteristic
207C2×#11719925C2311yescharacteristic
208C2×#11719923C2311yescharacteristic
209C2×#11719924C2311yescharacteristic
210C2×#11719922C2311yescharacteristic
211C2×#11719917C2311yescharacteristic
212C2×#11719917C2311yescharacteristic
213C2×#11719912C2311yescharacteristic
214C2×#11719912C2311yescharacteristic
215C2×C8×D53C2311yescharacteristic
216C2×C8×D53C2311yescharacteristic
217#13133217C2311yescharacteristic
218#13133217C2311yescharacteristic
219#13133216—21no—
220#13133216—21no—
221#13133216—21no—
222#13133216C2311yescharacteristic
223#13133216C2311yescharacteristic
224#13133216C2311yescharacteristic
225#13133213C2311yescharacteristic
226#13133212—21no—
227#13133212—21no—
228#13133211—21no—
229#13133211—21no—
230#13133211D411yescharacteristic
231#13133211D411yescharacteristic
232#13133210—21no—
233#13133210—21no—
234#13133210—21no—
235#13133210—21no—
236#13133210—21no—
237#13133210—21no—
238#13133210—21no—
239#13133210—21no—
240#13133209—21no—
241#13133209D411yescharacteristic
242#13133209C2311yescharacteristic
243#13133209C2311yescharacteristic
244#13133209C2311yescharacteristic
245#13133208—21no—
246#13133208C2311yescharacteristic
247#13133208C2311yescharacteristic
248#13133208C2311yescharacteristic
249#13133207—21no—
250#13133207—21no—
251#13133207—21no—
252#13133207—21no—
253#13133207—21no—
254#13133205D411yescharacteristic
255#13133205C2311yescharacteristic
256#13133204—21no—
257#13133204C2311yescharacteristic
258#13133203—21no—
259#13133203—21no—
260#13133203—21no—
261#13133203—21no—
262#13133203—21no—
263#13133203—21no—
264#13133202—21no—
265#13133202—21no—
266#13133201—21no—
267#13133201—21no—
268#13133201—21no—
269#13133200—21no—
270#13133200—21no—
271#13133200—21no—
272#13133200—21no—
273#13133200—21no—
274#13133200—21no—
275#13133200—21no—
276#13133200—21no—
277#13133200D411yescharacteristic
278#13133200D411yescharacteristic
279#13133199—21no—
280#13133199—21no—
281#13133199—21no—
282#13133198—21no—
283#13133198—21no—
284#13133197—21no—
285#13133197—21no—
286#13133197C2311yescharacteristic
287#13133196—21no—
288#13133196—21no—
289#13133196—21no—
290#13133196—21no—
291#13133196—21no—
292#13133196D411yescharacteristic
293#13133196C2311yescharacteristic
294#13133195—21no—
295#13133195—21no—
296#13133195—21no—
297#13133194—21no—
298#13133194—21no—
299#13133194—21no—
300#13133194—21no—
301#13133194—21no—
302#13133194—21no—
303#13133193C2311yescharacteristic
304#13133193C2311yescharacteristic
305#13133192C2311yescharacteristic
306#13133191—21no—
307#13133191—21no—
308#13133191D411yescharacteristic
309#13133191C2311yescharacteristic
310#13133190—21no—
311#13133190—21no—
312#13133190—21no—
313#13133189—21no—
314#13133189—21no—
315#13133189—21no—
316#13133188—21no—
317#13133188C2311yescharacteristic
318#13133188C2311yescharacteristic
319#13133188C2311yescharacteristic
320#13133188C2311yescharacteristic
321#13133187—21no—
322#13133186—21no—
323#13133186—21no—
324#13133185—21no—
325Q8×Dic53C2311yescharacteristic
326Q8×Dic53C2311yescharacteristic
327C4×Dic106—21no—
328C4×Dic106—21no—
329C4×Dic106—21no—
330C4×Dic106C2311yescharacteristic
331C4×Dic106C2311yescharacteristic
332#13133182—21no—
333#13133182C2311yescharacteristic
334C4×D212C2311yescharacteristic
335C4×D212C2311yescharacteristic
336D4×Dic53C2311yescharacteristic
337D4×Dic53C2311yescharacteristic
338D4×Dic53C2311yescharacteristic
339D4×Dic53C2311yescharacteristic
340#13133179C2311yescharacteristic
341C4×C22⋊D53—21no—
342C4×C22⋊D53—21no—
343C4×C22⋊D53—21no—
344C4×C22⋊D53—21no—
345C4×C22⋊D53—21no—
346C4×C22⋊D53—21no—
347C4×C22⋊D53C2311yescharacteristic
348C4×C22⋊D53C2311yescharacteristic
349#13133177—21no—
350#13133177—21no—
351#13133177—21no—
352#13133176—21no—
353#13133176C2311yescharacteristic
354#13133176C2311yescharacteristic
355#13133175—21no—
356#13133175C2311yescharacteristic
357#13133175C2311yescharacteristic
358#13133175C2311yescharacteristic
359#13133174—21no—
360#13133174—21no—
361#13133174C2311yescharacteristic
362#13133174C2311yescharacteristic
363#13133173—21no—
364#13133173—21no—
365C2×#11719919—21no—
366C2×#11719919—21no—
367C2×#11719919—21no—
368C4⋊C4×D53C2311yescharacteristic
369C4⋊C4×D53C2311yescharacteristic
370C4⋊C4×D53C2311yescharacteristic
371C2×C22⋊Dic53—21no—
372C2×#11719921—21no—
373C2×#11719921—21no—
374C22⋊C4×D53—21no—
375#13133151C2311yescharacteristic
376#13133151C2311yescharacteristic
377#13133151C2311yescharacteristic
378#13133151C2311yescharacteristic
379#13133150C2311yescharacteristic
380#13133150C2311yescharacteristic
381#13133150C2311yescharacteristic
382#13133150C2311yescharacteristic
383#13133150C2311yescharacteristic
384#13133150C2311yescharacteristic
385#13133149C2311yescharacteristic
386#13133149C2311yescharacteristic
387#13133149C2311yescharacteristic
388#13133149C2311yescharacteristic
389#13133148C2311yescharacteristic
390#13133148C2311yescharacteristic
391#13133148C2311yescharacteristic
392#13133148C2311yescharacteristic
393#13133148C2311yescharacteristic
394#13133148C2311yescharacteristic
395C4⋊#88322C2311yescharacteristic
396C4⋊#88322C2311yescharacteristic
397C4⋊#88322C2311yescharacteristic
398C4⋊#88322C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133146C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133146C2311yescharacteristic
403#13133142C2311yescharacteristic
404#13133142C2311yescharacteristic
405#13133142C2311yescharacteristic
406#13133142C2311yescharacteristic
407#13133141C2311yescharacteristic
408#13133141C2311yescharacteristic
409#13133140C2311yescharacteristic
410#13133140C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133138C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133138C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133138C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133138C2311yescharacteristic
425#13133137C2311yescharacteristic
426#13133137C2311yescharacteristic
427#13133129C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133129C2311yescharacteristic
430#13133129C2311yescharacteristic
431#13133127C2311yescharacteristic
432#13133127C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C22×D4×C53C2311yescharacteristic
436C23×C4×C53—21no—
437C2×SD16×C53C2311yescharacteristic
438C2×SD16×C53C2311yescharacteristic
439C2×D8×C53C2311yescharacteristic
440C2×D8×C53C2311yescharacteristic
441#126×C53—21no—
442#125×C53C2311yescharacteristic
443#124×C53C2311yescharacteristic
444#123×C53—21no—
445C22⋊Q8×C53C2311yescharacteristic
446#121×C53C2311yescharacteristic
447C4×Q8×C53C2311yescharacteristic
448C4×D4×C53—21no—
449C4×D4×C53—21no—
450C4×D4×C53—21no—
451C4×D4×C53C2311yescharacteristic
452C4×D4×C53C2311yescharacteristic
453C4×D4×C53C2311yescharacteristic
454C4×D4×C53C2311yescharacteristic
455C4×D4×C53C2311yescharacteristic
456#117×C53—21no—
457C2×C4⋊C4×C53C2311yescharacteristic
458C2×C22⋊C4×C53—21no—
459C2×C42×C53C2311yescharacteristic
460#107×C53C2311yescharacteristic
461#107×C53C2311yescharacteristic
462#106×C53C2311yescharacteristic
463#106×C53C2311yescharacteristic
464C4⋊C8×C53C2311yescharacteristic
465C4⋊C8×C53C2311yescharacteristic
466#103×C53C2311yescharacteristic
467#103×C53C2311yescharacteristic
468#102×C53C2311yescharacteristic
469#102×C53C2311yescharacteristic
470#102×C53C2311yescharacteristic
471#102×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474C22⋊C8×C53C2311yescharacteristic
475C22⋊C8×C53C2311yescharacteristic
476C4×C8×C53C2311yescharacteristic
477C4×C8×C53C2311yescharacteristic
478C24×C53—21no—
479C23×D53—21no—
480C2×Q8×C53C2411yescharacteristic
481C2×D4×C53—22no—
482C2×D4×C53—21no—
483C2×D4×C53—21no—
484C2×D4×C53—41no—
485C2×D4×C53C2411yescharacteristic
486C2×D4×C53C2411yescharacteristic
487C2×D4×C53C2411yescharacteristic
488C22×C4×C53—21no—
489C22×C4×C53—21no—
490C22×C4×C53—21no—
491C22×C4×C53—21no—
492C22×C4×C53—21no—
493C22×C4×C53—21no—
494C22×C4×C53—82no—
495C22×C4×C53C2×D411yescharacteristic
496C22×C4×C53C2×D411yescharacteristic
497C22×C4×C53C2411yescharacteristic
498C2×C22⋊D53—21no—
499C2×C22⋊D53—21no—
500C2×C22⋊D53—21no—
501C2×C22⋊D53—21no—
502C2×C22⋊D53—21no—
503C2×C22⋊D53—21no—
504C2×C22⋊D53—21no—
505C2×C22⋊D53—21no—
506C2×C22⋊D53—21no—
507C2×C22⋊D53—82no—
508C2×C22⋊D53C2×D411yescharacteristic
509C2×C22⋊D53C2×D411yescharacteristic
510C22×Dic53—21no—
511C22×Dic53—21no—
512C22×Dic53—21no—
513C22×Dic53—21no—
514C22×Dic53—21no—
515#11719947—22no—
516#11719947—41no—
517D4×D53—22no—
518D4×D53—41no—
519#11719945—82no—
520C2×D212—21no—
521C2×D212C2×D411yescharacteristic
522C2×D212C2411yescharacteristic
523C2×C4×D53—21no—
524C2×C4×D53—21no—
525C2×C4×D53—21no—
526C2×C4×D53—21no—
527C2×C4×D53—21no—
528C2×C4×D53C2411yescharacteristic
529C2×C4×D53C2411yescharacteristic
530C2×Dic106—21no—
531C2×Dic106—21no—
532C2×Dic106—21no—
533C2×Dic106—21no—
534C2×Dic106—21no—
535C2×Dic106C2×D411yescharacteristic
536C2×Dic106C2411yescharacteristic
537SD16×C53—22no—
538SD16×C53—41no—
539D8×C53—22no—
540D8×C53—41no—
541C2×C8×C53C2411yescharacteristic
542C2×C8×C53C2411yescharacteristic
543C2×C8×C53C2411yescharacteristic
544C2×C8×C53C2411yescharacteristic
545C4⋊C4×C53—21no—
546C4⋊C4×C53—21no—
547C4⋊C4×C53—21no—
548C4⋊C4×C53—21no—
549C4⋊C4×C53—21no—
550C4⋊C4×C53C2411yescharacteristic
551C4⋊C4×C53C2411yescharacteristic
552C4⋊C4×C53C2411yescharacteristic
553C4⋊C4×C53C2411yescharacteristic
554C22⋊C4×C53—21no—
555C22⋊C4×C53—21no—
556C22⋊C4×C53—21no—
557C22⋊C4×C53—21no—
558C22⋊C4×C53—21no—
559C22⋊C4×C53—21no—
560C22⋊C4×C53—21no—
561C22⋊C4×C53—21no—
562C22⋊C4×C53—21no—
563C42×C53—21no—
564C42×C53C2×D411yescharacteristic
565C42×C53C2×D411yescharacteristic
566C42×C53C2411yescharacteristic
567C42×C53C2411yescharacteristic
568C22⋊Dic53—21no—
569C22⋊Dic53—21no—
570C22⋊Dic53—21no—
571C22⋊Dic53—21no—
572C22⋊Dic53—21no—
573C22⋊Dic53—21no—
574C22⋊Dic53—21no—
575C22⋊Dic53—21no—
576C22⋊Dic53—21no—
577C22⋊Dic53—21no—
578C22⋊Dic53—21no—
579C22⋊Dic53—21no—
580C22⋊Dic53—21no—
581C22⋊Dic53C2×D411yescharacteristic
582C22⋊Dic53C2×D411yescharacteristic
583#11719925—41no—
584#11719924—41no—
585#11719923—41no—
586#11719922—41no—
587#11719921—21no—
588#11719921—21no—
589#11719921—21no—
590#11719921—21no—
591#11719921—21no—
592#11719921—21no—
593#11719921—21no—
594#11719921—21no—
595#11719921—21no—
596#11719921—21no—
597#11719921—21no—
598#11719921—21no—
599#11719921C2×D411yescharacteristic
600#11719921C2×D411yescharacteristic
601#11719921C2×D411yescharacteristic
602#11719921C2×D411yescharacteristic
603#11719921C2×D411yescharacteristic
604#11719921C2×D411yescharacteristic
605#11719921C2×D411yescharacteristic
606#11719921C2×D411yescharacteristic
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⋊Dic53C2411yescharacteristic
618C4⋊Dic53C2411yescharacteristic
619C4⋊Dic53C2411yescharacteristic
620C4⋊Dic53C2411yescharacteristic
621C4⋊Dic53C2411yescharacteristic
622C4⋊Dic53C2411yescharacteristic
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#11719919C2×D411yescharacteristic
644#11719919C2×D411yescharacteristic
645#11719919C2×D411yescharacteristic
646#11719919C2×D411yescharacteristic
647#11719919C2×D411yescharacteristic
648#11719919C2×D411yescharacteristic
649#11719919C2×D411yescharacteristic
650#11719919C2×D411yescharacteristic
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×Dic53C2411yescharacteristic
661C4×Dic53C2411yescharacteristic
662#11719917—41no—
663#11719917—41no—
664C2×#88322C2411yescharacteristic
665C2×#88322C2411yescharacteristic
666C2×#88322C2411yescharacteristic
667C2×#88322C2411yescharacteristic
668#11719912—41no—
669#11719912—41no—
670C8×D53—41no—
671C8×D53—41no—
672C23×C53—21no—
673C23×C53—21no—
674C23×C53—21no—
675C23×C53—42no—
676C23×C53—42no—
677C23×C53—81no—
678C23×C53C22×D411yescharacteristic
679C22×D53—21no—
680C22×D53—42no—
681C22×D53—81no—
682C22×D53—81no—
683C22×D53C22×D411yescharacteristic
684C22×D53C22×D411yescharacteristic
685Q8×C53—21no—
686Q8×C53—21no—
687D4×C53—21no—
688D4×C53—21no—
689D4×C53—21no—
690D4×C53—21no—
691D4×C53—21no—
692D4×C53—42no—
693D4×C53—81no—
694D4×C532−1+412yes—
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—41no—
703C2×C4×C53—41no—
704C2×C4×C53—42no—
705C2×C4×C53—81no—
706C2×C4×C53—81no—
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×C53C2511yescharacteristic
716C22⋊D53—41no—
717C22⋊D53—41no—
718C22⋊D53—42no—
719C22⋊D53—42no—
720C22⋊D53—42no—
721C22⋊D53—81no—
722C22⋊D53—81no—
723C22⋊D53—81no—
724C22⋊D53—81no—
725C22⋊D53—81no—
726C22⋊D53—81no—
727C2×Dic53—21no—
728C2×Dic53—21no—
729C2×Dic53—21no—
730C2×Dic53—21no—
731C2×Dic53—21no—
732C2×Dic53—21no—
733C2×Dic53—21no—
734C2×Dic53—42no—
735C2×Dic53—81no—
736C2×Dic53—81no—
737C2×Dic53—81no—
738C2×Dic53—81no—
739C2×Dic53C22×D411yescharacteristic
740C2×Dic53C22×D411yescharacteristic
741C2×Dic53C22×D411yescharacteristic
742C2×Dic53C22×D411yescharacteristic
743C2×Dic53C22×D411yescharacteristic
744C2×Dic53C22×D411yescharacteristic
745D212—21no—
746D212—21no—
747D212—41no—
748D212—81no—
749C4×D53—21no—
750C4×D53—21no—
751C4×D53—21no—
752C4×D53—21no—
753C4×D53—81no—
754C4×D53—81no—
755C4×D53—81no—
756C4×D53—81no—
757C4×D53—81no—
758Dic106—21no—
759Dic106—21no—
760Dic106—41no—
761Dic106—81no—
762Dic106—81no—
763Dic106—81no—
764Dic106—81no—
765Dic106—81no—
766C8×C53—21no—
767C8×C53—21no—
768C8×C53—21no—
769C8×C53—21no—
770#88322—21no—
771#88322—21no—
772#88322—21no—
773#88322—21no—
774#62175—531nomaximal, Sylow
775C22×C53—21no—
776C22×C53—21no—
777C22×C53—22no—
778C22×C53—21no—
779C22×C53—41no—
780C22×C53—41no—
781C22×C53—41no—
782C22×C53—41no—
783C22×C53—41no—
784C22×C53—41no—
785C22×C53—41no—
786C22×C53—41no—
787C22×C53—84no—
788C22×C53C23×D411yescharacteristic
789C2×D53—21no—
790C2×D53—21no—
791C2×D53—21no—
792C2×D53—21no—
793C2×D53—21no—
794C2×D53—21no—
795C2×D53—41no—
796C2×D53—41no—
797C2×D53—41no—
798C2×D53—162no—
799C4×C53—21no—
800C4×C53—21no—
801C4×C53—21no—
802C4×C53—21no—
803C4×C53—21no—
804C4×C53—41no—
805C4×C53—41no—
806C4×C53—41no—
807C4×C53—41no—
808C4×C53—41no—
809C4×C53C2×2−1+411yescharacteristic
810C4×C53#58511yescharacteristic
811Dic53—21no—
812Dic53—21no—
813Dic53—21no—
814Dic53—21no—
815Dic53—21no—
816Dic53—21no—
817Dic53—41no—
818Dic53—41no—
819Dic53—41no—
820Dic53—41no—
821Dic53—41no—
822Dic53—41no—
823Dic53—41no—
824#3565—531no—
825#3513—531no—
826#3389—531no—
827#3381—531no—
828#3371—531no—
829#3361—531no—
830#3354—531no—
831#3351—531no—
832#3351—531no—
833#3349—531no—
834#3343—531no—
835#3339—531no—
836#3324—531no—
837#3323—531no—
838#3322—531no—
839#3319—531no—
840#3318—531no—
841#3296—531no—
842#3262—531no—
843#3257—531no—
844#3256—531no—
845#3244—531no—
846#3241—531no—
847#3233—531no—
848#3125—531no—
849#3118—531no—
850#3105D5311yescharacteristic, complemented
851#3083—531no—
852#3081—531no—
853#3077—531no—
854#2993—531no—
855C2×C53—42no—
856C2×C53—41no—
857C2×C53—81no—
858C2×C53—81no—
859C2×C53#348911yescharacteristic
860C2×C53#358411yescharacteristic
861C2×C53#358511yescharacteristic
862D53—41no—
863D53—41no—
864D53—81no—
865#563—1061no—
866#562—1061no—
867#559—531no—
868#557—531no—
869#556—531no—
870#556—1061no—
871#555—531no—
872#554—531no—
873#554—531no—
874#553—531no—
875#553—531no—
876#553—531no—
877#553—1061no—
878#552—531no—
879#552—531no—
880#552—531no—
881#552—1061no—
882#551—1061no—
883#551—1061no—
884#547—531no—
885#546—531no—
886#546—531no—
887#546—1061no—
888D42—531no—
889#544—531no—
890#544—531no—
891#542—531no—
892#542—531no—
893#542—531no—
894#542—1061no—
895#542—1061no—
896#541—1061no—
897#540—531no—
898#539—1061no—
899#539—1061no—
900#538—1061no—
901#533—531no—
902#529—531no—
903#529—531no—
904#529C2×D5311yescharacteristic, complemented
905#525—1061no—
906C2×#123—1061no—
907#520—531no—
908#518—531no—
909C2×C4×D4C2×D5311yescharacteristic
910#501—531no—
911#501—531no—
912#499—531no—
913#499—531no—
914#499—531no—
915#498—531no—
916#490—531no—
917#489—531no—
918#488—531no—
919#488—531no—
920#488—531no—
921#486—531no—
922#485—531no—
923#485—531no—
924#485—531no—
925#485—531no—
926#484C2×D5311yescharacteristic, complemented
927#483—531no—
928#483—531no—
929#482—531no—
930#482—531no—
931#482—531no—
932#482—531no—
933#482—531no—
934#482—531no—
935#481—531no—
936#481—531no—
937#481—531no—
938#481C2×D5311yescharacteristic, complemented
939#480—531no—
940#479—531no—
941#479—531no—
942#479—531no—
943#479—531no—
944#478—531no—
945#478—531no—
946#478—531no—
947#478—531no—
948#478—531no—
949#478—531no—
950#478—531no—
951#478—531no—
952#478—531no—
953#478—531no—
954#478C2×D5311yescharacteristic
955#478C2×D5311yescharacteristic, complemented
956#477—531no—
957#477—531no—
958#477—531no—
959#476—531no—
960#476—531no—
961#476—531no—
962#476—531no—
963#475—531no—
964#474—531no—
965#474—531no—
966#474—531no—
967#474—531no—
968#474—531no—
969#474—531no—
970#470—531no—
971#469—531no—
972#469—531no—
973#468—531no—
974#468—531no—
975#468—531no—
976#468—531no—
977#468—531no—
978#467—531no—
979#466—531no—
980#466—531no—
981#465—531no—
982#464—531no—
983#464—531no—
984#464—531no—
985#463—531no—
986#463—531no—
987#463—531no—
988#463C2×D5311yescharacteristic
989#463C2×D5311yescharacteristic, complemented
990#460—531no—
991#459—531no—
992#452—531no—
993#450—531no—
994#450C2×D5311yescharacteristic
995#449—531no—
996#447—531no—
997#447C2×D5311yescharacteristic
998#446—531no—
999C8×Q8—531no—
1000#442—531no—
1001#442—531no—
1002#441—531no—
1003#440—531no—
1004C4×SD16—531no—
1005C4×SD16—531no—
1006C4×SD16—531no—
1007C4×SD16C2×D5311yescharacteristic
1008C4×SD16C2×D5311yescharacteristic, complemented
1009C4×D8—531no—
1010C4×D8C2×D5311yescharacteristic
1011C4×D8C2×D5311yescharacteristic, complemented
1012#436—531no—
1013#436—531no—
1014#436—531no—
1015#435—531no—
1016#435—531no—
1017C8×D4—531no—
1018#433—531no—
1019#433—531no—
1020#431C2×D5311yescharacteristic, complemented
1021#428—531no—
1022#428—531no—
1023#428—531no—
1024#428—531no—
1025#427—531no—
1026C2×#107—531no—
1027#424—531no—
1028#424—531no—
1029#423—531no—
1030#418—531no—
1031#418—531no—
1032#418—531no—
1033#417—531no—
1034#416—531no—
1035C2×#102—531no—
1036C53#6217511yescharacteristic, complemented, Sylow
1037C2×#41—531no—
1038C2×#41—1061no—
1039C22×D4—531no—
1040C22×D4—1061no—
1041C22×D4C22×D5311yescharacteristic
1042C23×C4—21no—
1043C2×Q16—531no—
1044C2×SD16—531no—
1045C2×SD16—531no—
1046C2×SD16C22×D5311yescharacteristic
1047C2×SD16C22×D5311yescharacteristic
1048C2×D8—531no—
1049C2×D8C22×D5311yescharacteristic
1050C2×D8C22×D5311yescharacteristic
1051C2×M16—531no—
1052C2×M16—531no—
1053C2×M16—531no—
1054C2×M16—531no—
1055C22×C8—531no—
1056C22×C8—531no—
1057C4⋊Q8—531no—
1058C4⋊Q8—531no—
1059C4⋊Q8—531no—
1060C4⋊Q8—531no—
1061C4⋊Q8—531no—
1062C4⋊Q8—1061no—
1063C4⋊Q8—1061no—
1064C4⋊Q8—1061no—
1065#127—531no—
1066#126—21no—
1067#126—531no—
1068#126—531no—
1069#126—1061no—
1070#126—1061no—
1071#126—1061no—
1072#126—1061no—
1073#126—1061no—
1074#126—1061no—
1075#126—1061no—
1076#126—1061no—
1077#126—1061no—
1078#126—1061no—
1079#126—1061no—
1080#126—1061no—
1081#125—531no—
1082#125—531no—
1083#125—531no—
1084#125—531no—
1085#125—531no—
1086#125—531no—
1087#125—531no—
1088#125—1061no—
1089#125—1061no—
1090#125—1061no—
1091#125—1061no—
1092#125—1061no—
1093#125—1061no—
1094#125—1061no—
1095#125C22×D5311yescharacteristic
1096#124—531no—
1097#124—531no—
1098#124—531no—
1099#124—1061no—
1100#124—1061no—
1101#124—1061no—
1102#124—1061no—
1103#124—1061no—
1104#124—1061no—
1105#124—1061no—
1106#124C22×D5311yescharacteristic
1107#123—21no—
1108#123—531no—
1109#123—531no—
1110#123—1061no—
1111#123—1061no—
1112#123—1061no—
1113#123—1061no—
1114#123—1061no—
1115#123—1061no—
1116#123—1061no—
1117#123—1061no—
1118#123—1061no—
1119#123—1061no—
1120#123—1061no—
1121#123—1061no—
1122#123—1061no—
1123#123—1061no—
1124#123—1061no—
1125#123—1061no—
1126#123—1061no—
1127#123—1061no—
1128C22⋊Q8—531no—
1129C22⋊Q8—531no—
1130C22⋊Q8—531no—
1131C22⋊Q8—531no—
1132C22⋊Q8—531no—
1133C22⋊Q8—1061no—
1134C22⋊Q8—1061no—
1135C22⋊Q8—1061no—
1136C22⋊Q8—1061no—
1137C22⋊Q8—1061no—
1138C22⋊Q8—1061no—
1139C22⋊Q8—1061no—
1140C22⋊Q8—1061no—
1141C22⋊Q8—1061no—
1142C22⋊Q8—1061no—
1143C22⋊Q8—1061no—
1144C22⋊Q8—1061no—
1145C22⋊Q8—1061no—
1146C22⋊Q8—1061no—
1147C22⋊Q8—1061no—
1148C22⋊Q8—1061no—
1149C22⋊Q8C22×D5311yescharacteristic
1150#121—531no—
1151#121—531no—
1152#121—531no—
1153#121—531no—
1154#121—531no—
1155#121—531no—
1156#121—531no—
1157#121—1061no—
1158#121—1061no—
1159#121—1061no—
1160#121—1061no—
1161#121—1061no—
1162#121—1061no—
1163#121—1061no—
1164#121—1061no—
1165#121—1061no—
1166#121C22×D5311yescharacteristic
1167#120—1061no—
1168#120—1061no—
1169#120—1061no—
1170#120—1061no—
1171C4×Q8—531no—
1172C4×Q8—531no—
1173C4×Q8—531no—
1174C4×Q8—531no—
1175C4×Q8—531no—
1176C4×Q8—1061no—
1177C4×Q8—1061no—
1178C4×Q8—1061no—
1179C4×Q8—1061no—
1180C4×Q8C22×D5311yescharacteristic
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—531no—
1185C4×D4—531no—
1186C4×D4—531no—
1187C4×D4—531no—
1188C4×D4—531no—
1189C4×D4—531no—
1190C4×D4—531no—
1191C4×D4—531no—
1192C4×D4—531no—
1193C4×D4—1061no—
1194C4×D4—1061no—
1195C4×D4—1061no—
1196C4×D4—1061no—
1197C4×D4—1061no—
1198C4×D4—1061no—
1199C4×D4—1061no—
1200C4×D4—1061no—
1201C4×D4—1061no—
1202C4×D4C22×D5311yescharacteristic
1203C4×D4C22×D5311yescharacteristic
1204C4×D4C22×D5311yescharacteristic
1205C4×D4C22×D5311yescharacteristic
1206C4×D4C22×D5311yescharacteristic
1207#117—21no—
1208#117—531no—
1209#117—531no—
1210#117—531no—
1211#117—531no—
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—
1221C2×C4⋊C4—531no—
1222C2×C4⋊C4—531no—
1223C2×C4⋊C4—531no—
1224C2×C4⋊C4—1061no—
1225C2×C4⋊C4—1061no—
1226C2×C4⋊C4—1061no—
1227C2×C4⋊C4C22×D5311yescharacteristic
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—1061no—
1230C2×C22⋊C4—1061no—
1231C2×C22⋊C4—1061no—
1232C2×C22⋊C4—1061no—
1233C2×C42C22×D5311yescharacteristic
1234#107—531no—
1235#107—531no—
1236#107—531no—
1237#107—531no—
1238#107—531no—
1239#107—531no—
1240#107—531no—
1241#107—531no—
1242#107—531no—
1243#107—531no—
1244#107C22×D5311yescharacteristic
1245#107C22×D5311yescharacteristic
1246#106—531no—
1247#106—531no—
1248#106—531no—
1249#106—531no—
1250#106—531no—
1251#106—531no—
1252#106—531no—
1253#106—531no—
1254#106—531no—
1255#106—531no—
1256#106C22×D5311yescharacteristic
1257#106C22×D5311yescharacteristic
1258C4⋊C8—531no—
1259C4⋊C8—531no—
1260C4⋊C8—531no—
1261C4⋊C8—531no—
1262C4⋊C8—531no—
1263C4⋊C8—531no—
1264C4⋊C8—531no—
1265C4⋊C8—531no—
1266C4⋊C8C22×D5311yescharacteristic
1267C4⋊C8C22×D5311yescharacteristic
1268#103—531no—
1269#103—531no—
1270#103—531no—
1271#103—531no—
1272#103—531no—
1273#103—531no—
1274#103—531no—
1275#103—531no—
1276#103C22×D5311yescharacteristic
1277#103C22×D5311yescharacteristic
1278#102—531no—
1279#102—531no—
1280#102—531no—
1281#102—531no—
1282#102—531no—
1283#102—531no—
1284#102—531no—
1285#102—531no—
1286#102—531no—
1287#102—531no—
1288#102—531no—
1289#102—531no—
1290#102—531no—
1291#102—531no—
1292#102—531no—
1293#102—531no—
1294#102C22×D5311yescharacteristic
1295#102C22×D5311yescharacteristic
1296#102C22×D5311yescharacteristic
1297#102C22×D5311yescharacteristic
1298#102C22×D5311yescharacteristic
1299#102C22×D5311yescharacteristic
1300C22⋊C8—531no—
1301C22⋊C8—531no—
1302C22⋊C8—531no—
1303C22⋊C8—531no—
1304C22⋊C8C22×D5311yescharacteristic
1305C22⋊C8C22×D5311yescharacteristic
1306#97—531no—
1307#97—531no—
1308C4×C8—531no—
1309C4×C8—531no—
1310C4×C8C22×D5311yescharacteristic
1311C4×C8C22×D5311yescharacteristic
1312C24—21no—
1313C24—1061no—
1314#41—1062no—
1315#41—4242no—
1316#41—2121no—
1317C2×Q8—531no—
1318C2×Q8—531no—
1319C2×Q8—1061no—
1320C2×Q8—1061no—
1321C2×Q8—1061no—
1322C2×Q8—1061no—
1323C2×Q8—1061no—
1324C2×Q8C23×D5311yescharacteristic
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—41no—
1329C2×D4—531no—
1330C2×D4—531no—
1331C2×D4—531no—
1332C2×D4—531no—
1333C2×D4—1061no—
1334C2×D4—1061no—
1335C2×D4—1061no—
1336C2×D4—1061no—
1337C2×D4—1062no—
1338C2×D4—1061no—
1339C2×D4—1061no—
1340C2×D4—1061no—
1341C2×D4—1061no—
1342C2×D4—1061no—
1343C2×D4—1061no—
1344C2×D4—4242no—
1345C2×D4—2121no—
1346C2×D4C23×D5311yescharacteristic
1347C2×D4C23×D5311yescharacteristic
1348C2×D4C23×D5311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—82no—
1356C22×C4—531no—
1357C22×C4—531no—
1358C22×C4—1061no—
1359C22×C4—1061no—
1360C22×C4—1061no—
1361C22×C4—1061no—
1362C22×C4—1061no—
1363C22×C4—1061no—
1364C22×C4—1061no—
1365C22×C4—1061no—
1366C22×C4—1061no—
1367C22×C4—1061no—
1368C22×C4D4×D5311yescharacteristic
1369C22×C4D4×D5311yescharacteristic
1370C22×C4C23×D5311yescharacteristic
1371Q16—2121no—
1372SD16—22no—
1373SD16—41no—
1374SD16—2121no—
1375SD16—2121no—
1376D8—22no—
1377D8—41no—
1378D8—2121no—
1379M16—2121no—
1380M16—2121no—
1381M16—2121no—
1382M16—2121no—
1383C2×C8—531no—
1384C2×C8—531no—
1385C2×C8—531no—
1386C2×C8—531no—
1387C2×C8—2121no—
1388C2×C8—2121no—
1389C2×C8C23×D5311yescharacteristic
1390C2×C8C23×D5311yescharacteristic
1391C2×C8C23×D5311yescharacteristic
1392C2×C8C23×D5311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—531no—
1399C4⋊C4—531no—
1400C4⋊C4—531no—
1401C4⋊C4—531no—
1402C4⋊C4—531no—
1403C4⋊C4—531no—
1404C4⋊C4—531no—
1405C4⋊C4—531no—
1406C4⋊C4—531no—
1407C4⋊C4—531no—
1408C4⋊C4—531no—
1409C4⋊C4—531no—
1410C4⋊C4—531no—
1411C4⋊C4—531no—
1412C4⋊C4—531no—
1413C4⋊C4—531no—
1414C4⋊C4—1061no—
1415C4⋊C4—1061no—
1416C4⋊C4—1061no—
1417C4⋊C4—1061no—
1418C4⋊C4—1061no—
1419C4⋊C4—1061no—
1420C4⋊C4—1061no—
1421C4⋊C4—1061no—
1422C4⋊C4—1061no—
1423C4⋊C4—1061no—
1424C4⋊C4—1061no—
1425C4⋊C4—1061no—
1426C4⋊C4—1061no—
1427C4⋊C4—1061no—
1428C4⋊C4—1061no—
1429C4⋊C4—1061no—
1430C4⋊C4—1061no—
1431C4⋊C4—1061no—
1432C4⋊C4—1061no—
1433C4⋊C4—1061no—
1434C4⋊C4—1061no—
1435C4⋊C4—1061no—
1436C4⋊C4—1061no—
1437C4⋊C4—1061no—
1438C4⋊C4—1061no—
1439C4⋊C4—1061no—
1440C4⋊C4—1061no—
1441C4⋊C4—1061no—
1442C4⋊C4C23×D5311yescharacteristic
1443C4⋊C4C23×D5311yescharacteristic
1444C4⋊C4C23×D5311yescharacteristic
1445C4⋊C4C23×D5311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—531no—
1456C22⋊C4—531no—
1457C22⋊C4—531no—
1458C22⋊C4—531no—
1459C22⋊C4—531no—
1460C22⋊C4—531no—
1461C22⋊C4—531no—
1462C22⋊C4—531no—
1463C22⋊C4—531no—
1464C22⋊C4—531no—
1465C22⋊C4—1061no—
1466C22⋊C4—1061no—
1467C22⋊C4—1061no—
1468C22⋊C4—1061no—
1469C22⋊C4—1061no—
1470C22⋊C4—1061no—
1471C22⋊C4—1061no—
1472C22⋊C4—1061no—
1473C22⋊C4—1061no—
1474C22⋊C4—1061no—
1475C22⋊C4—1061no—
1476C22⋊C4—1061no—
1477C22⋊C4—1061no—
1478C22⋊C4—1061no—
1479C22⋊C4—1061no—
1480C22⋊C4—1061no—
1481C22⋊C4—1061no—
1482C22⋊C4—1061no—
1483C22⋊C4—1061no—
1484C22⋊C4—1061no—
1485C22⋊C4—1061no—
1486C22⋊C4—1061no—
1487C22⋊C4—1061no—
1488C22⋊C4—1061no—
1489C22⋊C4—1061no—
1490C42—21no—
1491C42—531no—
1492C42—531no—
1493C42—1061no—
1494C42—1061no—
1495C42—1061no—
1496C42—1061no—
1497C42—1061no—
1498C42—1061no—
1499C42—1061no—
1500C42—1061no—
1501C42—1061no—
1502C42D4×D5311yescharacteristic
1503C42D4×D5311yescharacteristic
1504C42C23×D5311yescharacteristic
1505C42C23×D5311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—42no—
1510C23—42no—
1511C23—81no—
1512C23—531no—
1513C23—531no—
1514C23—1061no—
1515C23—4241no—
1516C23—4241no—
1517C23—2122no—
1518C23C2×D4×D5311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—1061no—
1522Q8—1061no—
1523Q8—4241no—
1524Q8—4241no—
1525Q8—4241no—
1526Q8—4241no—
1527Q8—4241no—
1528Q8—2121no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—42no—
1535D4—81no—
1536D4—1061no—
1537D4—1061no—
1538D4—4241no—
1539D4—4241no—
1540D4—4241no—
1541D4—4241no—
1542D4—4241no—
1543D4—4241no—
1544D4—4241no—
1545D4—2121no—
1546D4—2121no—
1547D4—2121no—
1548D4—2122no—
1549D4—2122no—
1550D4—2122no—
1551D4#1313326412yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—42no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—531no—
1568C2×C4—531no—
1569C2×C4—531no—
1570C2×C4—531no—
1571C2×C4—531no—
1572C2×C4—531no—
1573C2×C4—1061no—
1574C2×C4—1061no—
1575C2×C4—1061no—
1576C2×C4—1061no—
1577C2×C4—1061no—
1578C2×C4—1061no—
1579C2×C4—1061no—
1580C2×C4—1061no—
1581C2×C4—1061no—
1582C2×C4—1061no—
1583C2×C4—1061no—
1584C2×C4—4241no—
1585C2×C4—4241no—
1586C2×C4—4241no—
1587C2×C4—4241no—
1588C2×C4—4241no—
1589C2×C4—4241no—
1590C2×C4—4241no—
1591C2×C4—4241no—
1592C2×C4—4241no—
1593C2×C4—2122no—
1594C2×C4C2×D4×D5311yescharacteristic
1595C2×C4C2×D4×D5311yescharacteristic
1596C2×C4C2×D4×D5311yescharacteristic
1597C2×C4C2×D4×D5311yescharacteristic
1598C2×C4C2×D4×D5311yescharacteristic
1599C2×C4C24×D5311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1061no—
1605C8—1061no—
1606C8—1061no—
1607C8—1061no—
1608C22—21no—
1609C22—22no—
1610C22—21no—
1611C22—21no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—84no—
1621C22—8482no—
1622C22—1061no—
1623C22—1061no—
1624C22—1061no—
1625C22—1061no—
1626C22—1061no—
1627C22—1061no—
1628C22—2121no—
1629C22—2121no—
1630C22—2121no—
1631C22C22×D4×D5311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—1061no—
1643C4—1061no—
1644C4—1061no—
1645C4—1061no—
1646C4—1061no—
1647C4—1061no—
1648C4—2121no—
1649C4—2121no—
1650C4—2121no—
1651C4—2121no—
1652C4—2121no—
1653C4—2121no—
1654C4—2121no—
1655C4C2×#1313326411yescharacteristic
1656C4#1681145911yescharacteristic
1657C2—41no—
1658C2—42no—
1659C2—81no—
1660C2—81no—
1661C2—4241no—
1662C2—2121no—
1663C2—2121no—
1664C2#2028838711yescharacteristic
1665C2#2028948411yescharacteristic
1666C2#2028949111yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3105C2
socleC22×C53C23×D4
hypercenter#3105D53
hypocenterC53#62175
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3105

Complements

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

NH ≅ G/Ntype
1. #20289352C2semidirect
2. #20288655C2semidirect
3. #20287671C2semidirect
4. #20287591C2semidirect
5. #20287479C2semidirect
6. #20287376C2semidirect
7. #20287303C2semidirect
8. #20287280C2semidirect
9. #20287279C2semidirect
10. #20287238C2semidirect
11. #20287158C2semidirect
12. #20287119C2semidirect
13. #20286939C2semidirect
14. #20286935C2semidirect
15. #20286921C2semidirect
16. #20286864C2semidirect
17. #20286849C2semidirect
18. #20286555C2semidirect
19. #20286173C2semidirect
20. #20286123C2semidirect
21. #20286111C2semidirect
22. #20286012C2semidirect
23. #20285973C2semidirect
24. #20285896C2semidirect
25. #20284989C2semidirect
26. #20284898C2semidirect
27. #20284567C2semidirect
28. #20284543C2semidirect
29. #20284512C2semidirect
30. #20283866C2semidirect
31. C53×#3105C2semidirect
35. #16811349C22semidirect
38. #16811337C22semidirect
40. #16811332C22semidirect
42. #16811323C22semidirect
45. #16811314C22semidirect
47. #16811307C22semidirect
56. #16811253C22semidirect
57. #16811253C22semidirect
58. #16811242C22semidirect
59. #16811242C22semidirect
68. #16811180C22semidirect
75. #16811031C22semidirect
76. #16811031C22semidirect
77. #16811025C22semidirect
78. #16811025C22semidirect
79. #16811023C22semidirect
80. #16811020C22semidirect
82. #16810981C22semidirect
83. #16810978C22semidirect
84. #16810978C22semidirect
85. #16810976C22semidirect
87. #16810966C22semidirect
88. #16810965C22semidirect
89. #16810965C22semidirect
90. #16810962C22semidirect
91. #16810955C22semidirect
92. #16810952C22semidirect
93. #16810949C22semidirect
97. #16810946C22semidirect
98. #16810946C22semidirect
100. #16810940C22semidirect
101. #16810940C22semidirect
102. #16810938C22semidirect
103. #16810933C22semidirect
104. #16810932C22semidirect
105. #16810930C22semidirect
106. #16810927C22semidirect
107. #16810926C22semidirect
110. #16810923C22semidirect
111. #16810923C22semidirect
112. #16810923C22semidirect
115. #16810921C22semidirect
116. #16810920C22semidirect
117. #16810919C22semidirect
118. #16810917C22semidirect
119. #16810916C22semidirect
120. #16810914C22semidirect
122. #16810913C22semidirect
123. #16810912C22semidirect
124. #16810909C22semidirect
125. #16810904C22semidirect
127. #16810903C22semidirect
130. #16810901C22semidirect
131. #16810879C22semidirect
132. #16810875C22semidirect
135. #16810868C22semidirect
136. #16810867C22semidirect
138. #16810866C22semidirect
139. #16810863C22semidirect
141. #16810856C22semidirect
142. #16810855C22semidirect
143. #16810845C22semidirect
144. #16810843C22semidirect
145. #16810842C22semidirect
146. #16810838C22semidirect
147. #16810836C22semidirect
148. #16810835C22semidirect
155. #16810753C22semidirect
156. C8×Dic106C22semidirect
159. #16810727C22semidirect
160. #16810726C22semidirect
161. #16810714C22semidirect
164. #16810703C22semidirect
165. #16810702C22semidirect
167. #16810698C22semidirect
169. #16810697C22semidirect
170. C8×D212C22semidirect
171. #16810683C22semidirect
172. #16810683C22semidirect
173. #16810663C22semidirect
174. #16810663C22semidirect
175. #16810662C22semidirect
176. #16810662C22semidirect
177. #16810660C22semidirect
178. #107×D53C22semidirect
179. #16810648C22semidirect
180. #16810648C22semidirect
181. #16810647C22semidirect
188. C53×#529C22semidirect
190. C53×#484C22semidirect
191. C53×#481C22semidirect
193. C53×#478C22semidirect
195. C53×#463C22semidirect
199. C4×SD16×C53C22semidirect
201. C4×D8×C53C22semidirect
202. C53×#431C22semidirect
850. #3105D53semidirect
904. #529C2×D53semidirect
926. #484C2×D53semidirect
938. #481C2×D53semidirect
955. #478C2×D53semidirect
989. #463C2×D53semidirect
1008. C4×SD16C2×D53semidirect
1011. C4×D8C2×D53semidirect
1020. #431C2×D53semidirect
1036. C53#62175semidirect

Maximal subgroups

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

subgroupindex
#202893522
#202886552
#202876712
#202875912
#202874792
#202873762
#202873032
#202872802
#202872792
#202872382
#202871582
#202871192
#202869392
#202869352
#202869212
#202868642
#202868492
#202865552
#202861732
#202861232
#202861112
#202860122
#202859732
#202858962
#202849892
#202848982
#202845672
#202845432
#202845122
#202838662
C53×#31052
#6217553