Finite Group Databasebeta

← #28266970

Subgroups — #28266970

Order 13568.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288715C211yesmaximal, characteristic, complemented
2#20288666C211yesmaximal, characteristic, complemented
3#20287758C211yesmaximal, characteristic, complemented
4#20287637C211yesmaximal, characteristic, complemented
5#20287412C211yesmaximal, characteristic, complemented
6#20287348C211yesmaximal, characteristic, complemented
7#20287295C211yesmaximal, characteristic, complemented
8#20287220C211yesmaximal, characteristic, complemented
9#20287216C211yesmaximal, characteristic, complemented
10#20286667C211yesmaximal, characteristic, complemented
11#20286661C211yesmaximal, characteristic, complemented
12#20286650C211yesmaximal, characteristic, complemented
13#20286570C211yesmaximal, characteristic, complemented
14#20286561C211yesmaximal, characteristic, complemented
15#20286524C211yesmaximal, characteristic, complemented
16#20286329C211yesmaximal, characteristic, complemented
17#20286257C211yesmaximal, characteristic, complemented
18#20286249C211yesmaximal, characteristic, complemented
19#20285402C211yesmaximal, characteristic, complemented
20#20285398C211yesmaximal, characteristic, complemented
21#20285291C211yesmaximal, characteristic, complemented
22#20284977C211yesmaximal, characteristic, complemented
23#20284975C211yesmaximal, characteristic, complemented
24#20284958C211yesmaximal, characteristic, complemented
25#20284957C211yesmaximal, characteristic, complemented
26#20284864C211yesmaximal, characteristic, complemented
27#20284862C211yesmaximal, characteristic, complemented
28#20283686C211yesmaximal, characteristic, complemented
29#20283542C211yesmaximal, characteristic, complemented
30C4×#13133238C211yesmaximal, characteristic, complemented
31C53×#2946C211yesmaximal, characteristic, complemented
32C2×#13133244C2211yescharacteristic
33C2×#13133238C2211yescharacteristic
34#16811356C2211yescharacteristic
35#16811349C2211yescharacteristic, complemented
36#16811341C2211yescharacteristic
37#16811338C2211yescharacteristic
38#16811336C2211yescharacteristic
39#16811323—21no—
40#16811323C2211yescharacteristic, complemented
41#16811321—21no—
42#16811321C2211yescharacteristic, complemented
43#16811302—21no—
44#16811299—21no—
45#16811295C2211yescharacteristic, complemented
46#16811294—21no—
47#16811294C2211yescharacteristic, complemented
48#16811292C2211yescharacteristic
49#16811292C2211yescharacteristic, complemented
50D4×Dic106C2211yescharacteristic
51#16811282—21no—
52#16811274—21no—
53#16811274C2211yescharacteristic
54#16811268C2211yescharacteristic
55#16811267C2211yescharacteristic
56#16811263—21no—
57D4×C22⋊D53C2211yescharacteristic
58#16811244C2211yescharacteristic
59#16811238C2211yescharacteristic
60#16811228—21no—
61#16811228C2211yescharacteristic, complemented
62#16811224—21no—
63#16811224C2211yescharacteristic, complemented
64#16811211—21no—
65#16811206—21no—
66#16811170—21no—
67#16811170C2211yescharacteristic
68#16811170C2211yescharacteristic, complemented
69#16811153—21no—
70#16811151—21no—
71#16811151C2211yescharacteristic
72C2×#13133203—21no—
73#16811105C2211yescharacteristic, complemented
74#16811095C2211yescharacteristic
75C4×#11719949C2211yescharacteristic, complemented
76C4×#11719947C2211yescharacteristic
77#16811032C2211yescharacteristic, complemented
78#16811031C2211yescharacteristic, complemented
79#16811027C2211yescharacteristic, complemented
80#16811012C2211yescharacteristic, complemented
81#16811011C2211yescharacteristic, complemented
82#16810998C2211yescharacteristic
83#16810978C2211yescharacteristic, complemented
84#16810976C2211yescharacteristic, complemented
85#16810970C2211yescharacteristic, complemented
86#16810968C2211yescharacteristic
87#16810968C2211yescharacteristic, complemented
88#16810968C2211yescharacteristic, complemented
89#16810960C2211yescharacteristic, complemented
90#16810958C2211yescharacteristic, complemented
91#16810950C2211yescharacteristic, complemented
92#16810949C2211yescharacteristic, complemented
93#16810949C2211yescharacteristic, complemented
94#16810947C2211yescharacteristic, complemented
95#16810947C2211yescharacteristic, complemented
96#16810946C2211yescharacteristic, complemented
97#16810946C2211yescharacteristic, complemented
98#16810945C2211yescharacteristic, complemented
99#16810936C2211yescharacteristic
100#16810935C2211yescharacteristic
101#16810925C2211yescharacteristic
102#16810923C2211yescharacteristic
103#16810923C2211yescharacteristic, complemented
104#16810922C2211yescharacteristic, complemented
105#16810918C2211yescharacteristic, complemented
106#16810916C2211yescharacteristic, complemented
107#16810907C2211yescharacteristic, complemented
108#16810906C2211yescharacteristic, complemented
109#16810903C2211yescharacteristic, complemented
110#16810902C2211yescharacteristic, complemented
111#16810902C2211yescharacteristic, complemented
112#16810901C2211yescharacteristic
113#16810876C2211yescharacteristic
114#16810873C2211yescharacteristic
115#16810870C2211yescharacteristic, complemented
116#16810869C2211yescharacteristic, complemented
117#16810860C2211yescharacteristic, complemented
118#16810859C2211yescharacteristic
119#16810858C2211yescharacteristic
120#16810858C2211yescharacteristic, complemented
121#16810858C2211yescharacteristic, complemented
122#16810856C2211yescharacteristic, complemented
123#16810852C2211yescharacteristic, complemented
124#16810851C2211yescharacteristic, complemented
125#16810845C2211yescharacteristic, complemented
126#16810843C2211yescharacteristic, complemented
127#16810838C2211yescharacteristic, complemented
128#16810837C2211yescharacteristic, complemented
129#16810822C2211yescharacteristic, complemented
130#16810821C2211yescharacteristic
131#16810818C2211yescharacteristic
132#16810818C2211yescharacteristic, complemented
133#16810817C2211yescharacteristic
134#16810817C2211yescharacteristic, complemented
135#16810816C2211yescharacteristic
136#16810816C2211yescharacteristic
137#16810788C2211yescharacteristic, complemented
138#16810785C2211yescharacteristic, complemented
139#16810771C2211yescharacteristic, complemented
140#16810769C2211yescharacteristic
141#16810768C2211yescharacteristic
142#16810767C2211yescharacteristic
143#16810767C2211yescharacteristic, complemented
144#16810765C2211yescharacteristic
145#16810758C2211yescharacteristic
146#16810757C2211yescharacteristic
147#16810757C2211yescharacteristic
148#16810755C2211yescharacteristic
149#16810751C2211yescharacteristic, complemented
150C8×Dic106C2211yescharacteristic, complemented
151#16810736C2211yescharacteristic, complemented
152#16810734C2211yescharacteristic, complemented
153#16810733C2211yescharacteristic
154#16810733C2211yescharacteristic, complemented
155#16810725C2211yescharacteristic, complemented
156#16810724C2211yescharacteristic
157#16810723C2211yescharacteristic, complemented
158#16810721C2211yescharacteristic, complemented
159C4×#11719925C2211yescharacteristic, complemented
160#16810715C2211yescharacteristic, complemented
161C4×#11719913C2211yescharacteristic, complemented
162SD16×Dic53C2211yescharacteristic
163#16810710C2211yescharacteristic, complemented
164#16810708C2211yescharacteristic, complemented
165C4×D424C2211yescharacteristic, complemented
166C4×#11719922C2211yescharacteristic
167C4×#11719922C2211yescharacteristic, complemented
168C4×#11719922C2211yescharacteristic, complemented
169#16810703C2211yescharacteristic
170#16810703C2211yescharacteristic
171#16810699C2211yescharacteristic
172#16810696C2211yescharacteristic, complemented
173#16810692C2211yescharacteristic, complemented
174C8×D212C2211yescharacteristic, complemented
175C8×C22⋊D53C2211yescharacteristic
176C8×C22⋊D53C2211yescharacteristic, complemented
177#16810685C2211yescharacteristic, complemented
178#16810684C2211yescharacteristic, complemented
179#16810678C2211yescharacteristic, complemented
180#16810662C2211yescharacteristic, complemented
181#16810658C2211yescharacteristic, complemented
182#16810618C2211yescharacteristic, complemented
183#16810618C2211yescharacteristic, complemented
184#16810616C2211yescharacteristic
185#102×D53C2211yescharacteristic
186#16810577C2211yescharacteristic, complemented
187C4×C8×D53C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C53C2211yescharacteristic
189C53×#520C2211yescharacteristic, complemented
190C53×#518C2211yescharacteristic
191C53×#442C2211yescharacteristic
192C53×#442C2211yescharacteristic, complemented
193C53×#440C2211yescharacteristic
194C53×#440C2211yescharacteristic, complemented
195C4×SD16×C53C2211yescharacteristic
196C4×SD16×C53C2211yescharacteristic, complemented
197C4×D8×C53C2211yescharacteristic
198C4×D8×C53C2211yescharacteristic, complemented
199C53×#428C2211yescharacteristic, complemented
200C53×#416C2211yescharacteristic, complemented
201C2×#102×C53C2211yescharacteristic
202C53×#405C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719949C2311yescharacteristic
205C2×#11719945—21no—
206C2×#11719945—21no—
207C2×#11719945—21no—
208C2×#11719945—21no—
209C2×#11719947C2311yescharacteristic
210C22×Dic106—21no—
211C22×C22⋊D53—21no—
212C2×D4×D53C2311yescharacteristic
213#13133244—24no—
214#13133238—24no—
215C2×#11719925C2311yescharacteristic
216C2×#11719913C2311yescharacteristic
217C2×#11719913C2311yescharacteristic
218C2×#11719923C2311yescharacteristic
219C2×#11719924C2311yescharacteristic
220C2×D424C2311yescharacteristic
221C2×D424C2311yescharacteristic
222C2×#11719922C2311yescharacteristic
223C2×#11719922C2311yescharacteristic
224C2×#11719922C2311yescharacteristic
225C2×#11719922C2311yescharacteristic
226C2×#11719922C2311yescharacteristic
227C2×#11719912C2311yescharacteristic
228C2×C8×D53C2311yescharacteristic
229C2×C8×D53C2311yescharacteristic
230C2×C8×D53C2311yescharacteristic
231#13133217C2311yescharacteristic
232#13133216—21no—
233#13133216C2311yescharacteristic
234#13133216C2311yescharacteristic
235#13133216C2311yescharacteristic
236#13133214—21no—
237#13133214C2311yescharacteristic
238#13133213—21no—
239#13133213—21no—
240#13133213C2311yescharacteristic
241#13133213C2311yescharacteristic
242#13133213C2311yescharacteristic
243#13133212—21no—
244#13133212—21no—
245#13133212D411yescharacteristic
246#13133211—21no—
247#13133210—21no—
248#13133210—21no—
249#13133210—21no—
250#13133210D411yescharacteristic
251#13133209—21no—
252#13133209C2311yescharacteristic
253#13133208—21no—
254#13133208C2311yescharacteristic
255#13133207D411yescharacteristic
256#13133205—21no—
257#13133205C2311yescharacteristic
258#13133204C2311yescharacteristic
259#13133203—21no—
260#13133203—21no—
261#13133203—21no—
262#13133203—21no—
263#13133203—21no—
264#13133203—21no—
265#13133203—21no—
266#13133203—21no—
267#13133203—21no—
268#13133203D411yescharacteristic
269#13133202—21no—
270#13133202—21no—
271#13133202—21no—
272#13133202—21no—
273#13133202D411yescharacteristic
274#13133201—21no—
275#13133200—21no—
276#13133200—21no—
277#13133200—21no—
278#13133200—21no—
279#13133200—21no—
280#13133199—21no—
281#13133199—21no—
282#13133199—21no—
283#13133199D411yescharacteristic
284#13133198—21no—
285#13133197C2311yescharacteristic
286#13133196—21no—
287#13133196—21no—
288#13133196C2311yescharacteristic
289#13133195—21no—
290#13133195—21no—
291#13133195D411yescharacteristic
292#13133194—21no—
293#13133194—21no—
294#13133192—21no—
295#13133192—21no—
296#13133192C2311yescharacteristic
297#13133192C2311yescharacteristic
298#13133192C2311yescharacteristic
299#13133191—21no—
300#13133191—21no—
301#13133191—21no—
302#13133191—21no—
303#13133191—21no—
304#13133191—21no—
305#13133191—21no—
306#13133191C2311yescharacteristic
307#13133191C2311yescharacteristic
308#13133191C2311yescharacteristic
309#13133190—21no—
310#13133190—21no—
311#13133190—21no—
312#13133190—21no—
313#13133190—21no—
314#13133190—21no—
315#13133190—21no—
316#13133190—21no—
317#13133190—21no—
318#13133190D411yescharacteristic
319#13133189—21no—
320#13133189—21no—
321#13133188—21no—
322#13133188—21no—
323#13133188C2311yescharacteristic
324#13133188C2311yescharacteristic
325#13133188C2311yescharacteristic
326#13133188C2311yescharacteristic
327#13133187—21no—
328#13133186—21no—
329#13133186—21no—
330#13133185—21no—
331Q8×Dic53C2311yescharacteristic
332Q8×Dic53C2311yescharacteristic
333C4×Dic106—21no—
334C4×Dic106—21no—
335C4×Dic106C2311yescharacteristic
336C4×Dic106C2311yescharacteristic
337#13133182C2311yescharacteristic
338C4×D212—21no—
339C4×D212—21no—
340C4×D212—21no—
341C4×D212C2311yescharacteristic
342C4×D212C2311yescharacteristic
343C4×D212C2311yescharacteristic
344C4×D212C2311yescharacteristic
345D4×Dic53C2311yescharacteristic
346D4×Dic53C2311yescharacteristic
347#13133179—21no—
348#13133179—21no—
349#13133179C2311yescharacteristic
350#13133179C2311yescharacteristic
351#13133179C2311yescharacteristic
352C4×C22⋊D53—21no—
353C4×C22⋊D53—21no—
354C4×C22⋊D53—21no—
355C4×C22⋊D53—21no—
356C4×C22⋊D53—21no—
357C4×C22⋊D53—21no—
358C4×C22⋊D53—21no—
359C4×C22⋊D53—21no—
360C4×C22⋊D53—21no—
361C4×C22⋊D53C2311yescharacteristic
362C4×C22⋊D53C2311yescharacteristic
363#13133177—21no—
364#13133177—21no—
365#13133176—21no—
366#13133175—21no—
367#13133175C2311yescharacteristic
368#13133175C2311yescharacteristic
369#13133175C2311yescharacteristic
370#13133174—21no—
371#13133174—21no—
372#13133174C2311yescharacteristic
373#13133173—21no—
374C4⋊C4×D53—21no—
375C4⋊C4×D53C2311yescharacteristic
376C2×C22⋊Dic53—21no—
377C2×#11719921—21no—
378C2×#11719921—21no—
379C22⋊C4×D53—21no—
380C2×C4×Dic53—21no—
381C42×D53—21no—
382C42×D53C2311yescharacteristic
383#13133151C2311yescharacteristic
384#13133151C2311yescharacteristic
385#13133150C2311yescharacteristic
386#13133150C2311yescharacteristic
387#13133150C2311yescharacteristic
388#13133150C2311yescharacteristic
389#13133150C2311yescharacteristic
390#13133150C2311yescharacteristic
391#13133149C2311yescharacteristic
392#13133149C2311yescharacteristic
393#13133148C2311yescharacteristic
394#13133148C2311yescharacteristic
395C4⋊#88322C2311yescharacteristic
396C4⋊#88322C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133146C2311yescharacteristic
401#13133142C2311yescharacteristic
402#13133142C2311yescharacteristic
403#13133141C2311yescharacteristic
404#13133141C2311yescharacteristic
405#13133140C2311yescharacteristic
406#13133140C2311yescharacteristic
407#13133139C2311yescharacteristic
408#13133139C2311yescharacteristic
409#13133139C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133138C2311yescharacteristic
414#13133138C2311yescharacteristic
415#13133138C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133137C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425C22⋊#88322C2311yescharacteristic
426C22⋊#88322C2311yescharacteristic
427#13133129C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133129C2311yescharacteristic
430#13133129C2311yescharacteristic
431#13133128C2311yescharacteristic
432#13133127C2311yescharacteristic
433C4×#88322C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C8×Dic53C2311yescharacteristic
436C8×Dic53C2311yescharacteristic
437C2×#41×C53C2311yescharacteristic
438C22×D4×C53C2311yescharacteristic
439AGL(1,ℤ/8)×C53—24no—
440C2×SD16×C53C2311yescharacteristic
441C2×SD16×C53C2311yescharacteristic
442C2×D8×C53C2311yescharacteristic
443C2×D8×C53C2311yescharacteristic
444C2×M16×C53C2311yescharacteristic
445C22×C8×C53C2311yescharacteristic
446C4×Q8×C53C2311yescharacteristic
447C4×Q8×C53C2311yescharacteristic
448C4×D4×C53—21no—
449C4×D4×C53—21no—
450C4×D4×C53—21no—
451C4×D4×C53—21no—
452C4×D4×C53C2311yescharacteristic
453C4×D4×C53C2311yescharacteristic
454C4×D4×C53C2311yescharacteristic
455C4×D4×C53C2311yescharacteristic
456C4×D4×C53C2311yescharacteristic
457C4×D4×C53C2311yescharacteristic
458#117×C53—21no—
459#117×C53C2311yescharacteristic
460#117×C53C2311yescharacteristic
461C2×C4⋊C4×C53—21no—
462C2×C4⋊C4×C53C2311yescharacteristic
463C2×C22⋊C4×C53—21no—
464C2×C22⋊C4×C53—21no—
465#107×C53C2311yescharacteristic
466#107×C53C2311yescharacteristic
467#106×C53C2311yescharacteristic
468#106×C53C2311yescharacteristic
469#103×C53C2311yescharacteristic
470#103×C53C2311yescharacteristic
471#102×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477#97×C53C2311yescharacteristic
478#97×C53C2311yescharacteristic
479C4×C8×C53C2311yescharacteristic
480C4×C8×C53C2311yescharacteristic
481C24×C53—21no—
482C23×D53—21no—
483#41×C53—22no—
484#41×C53—41no—
485C2×Q8×C53C2411yescharacteristic
486C2×D4×C53—22no—
487C2×D4×C53—21no—
488C2×D4×C53—21no—
489C2×D4×C53—41no—
490C2×D4×C53C2411yescharacteristic
491C2×D4×C53C2411yescharacteristic
492C2×D4×C53C2411yescharacteristic
493C22×C4×C53—21no—
494C22×C4×C53—21no—
495C22×C4×C53—21no—
496C22×C4×C53—21no—
497C22×C4×C53—21no—
498C22×C4×C53—21no—
499C22×C4×C53—21no—
500C22×C4×C53—21no—
501C22×C4×C53C2411yescharacteristic
502C2×C22⋊D53—21no—
503C2×C22⋊D53—21no—
504C2×C22⋊D53—21no—
505C2×C22⋊D53—21no—
506C2×C22⋊D53—21no—
507C2×C22⋊D53—21no—
508C2×C22⋊D53—21no—
509C2×C22⋊D53—21no—
510C2×C22⋊D53—21no—
511C2×C22⋊D53—21no—
512C2×C22⋊D53—21no—
513C2×C22⋊D53—21no—
514C2×C22⋊D53—21no—
515C2×C22⋊D53—21no—
516C2×C22⋊D53—21no—
517C2×C22⋊D53—82no—
518C2×C22⋊D53C2×D411yescharacteristic
519C2×C22⋊D53C2×D411yescharacteristic
520C22×Dic53—21no—
521C22×Dic53—21no—
522C22×Dic53—21no—
523#11719949—22no—
524#11719949—22no—
525#11719949—41no—
526#11719949—41no—
527#11719947—22no—
528#11719947—41no—
529D4×D53—22no—
530D4×D53—41no—
531#11719945—82no—
532#11719945—82no—
533#11719945—82no—
534#11719945—82no—
535C2×D212—21no—
536C2×D212—21no—
537C2×D212—21no—
538C2×D212—21no—
539C2×D212—21no—
540C2×D212—21no—
541C2×D212—21no—
542C2×D212C2×D411yescharacteristic
543C2×D212C2411yescharacteristic
544C2×D212C2411yescharacteristic
545C2×D212C2411yescharacteristic
546C2×C4×D53—21no—
547C2×C4×D53—21no—
548C2×C4×D53—21no—
549C2×C4×D53—21no—
550C2×C4×D53—21no—
551C2×C4×D53—21no—
552C2×C4×D53—21no—
553C2×C4×D53—21no—
554C2×C4×D53—21no—
555C2×C4×D53C2×D411yescharacteristic
556C2×C4×D53C2×D411yescharacteristic
557C2×C4×D53C2411yescharacteristic
558C2×C4×D53C2411yescharacteristic
559C2×Dic106—21no—
560C2×Dic106—21no—
561C2×Dic106—21no—
562C2×Dic106—21no—
563C2×Dic106—82no—
564C2×Dic106C2×D411yescharacteristic
565C2×Dic106C2411yescharacteristic
566SD16×C53—22no—
567SD16×C53#4114yescomplemented
568D8×C53—22no—
569D8×C53—22no—
570M16×C53—22no—
571C2×C8×C53—41no—
572C2×C8×C53C2411yescharacteristic
573C2×C8×C53C2411yescharacteristic
574C2×C8×C53C2411yescharacteristic
575C2×C8×C53C2411yescharacteristic
576C4⋊C4×C53—21no—
577C4⋊C4×C53—21no—
578C4⋊C4×C53—21no—
579C4⋊C4×C53C2×D411yescharacteristic
580C4⋊C4×C53C2×D411yescharacteristic
581C4⋊C4×C53C2411yescharacteristic
582C4⋊C4×C53C2411yescharacteristic
583C4⋊C4×C53C2411yescharacteristic
584C4⋊C4×C53C2411yescharacteristic
585C22⋊C4×C53—21no—
586C22⋊C4×C53—21no—
587C22⋊C4×C53—21no—
588C22⋊C4×C53—21no—
589C22⋊C4×C53—21no—
590C22⋊C4×C53—21no—
591C22⋊C4×C53—21no—
592C22⋊C4×C53C2×D411yescharacteristic
593C22⋊C4×C53C2×D411yescharacteristic
594C42×C53—21no—
595C42×C53—21no—
596C42×C53—21no—
597C42×C53C2411yescharacteristic
598C42×C53C2411yescharacteristic
599C22⋊Dic53—21no—
600C22⋊Dic53—21no—
601C22⋊Dic53—21no—
602C22⋊Dic53—21no—
603C22⋊Dic53—21no—
604C22⋊Dic53—21no—
605C22⋊Dic53—21no—
606C22⋊Dic53—21no—
607C22⋊Dic53—21no—
608C22⋊Dic53C2×D411yescharacteristic
609C22⋊Dic53C2×D411yescharacteristic
610#11719925—22no—
611#11719924—22no—
612#11719923—41no—
613#11719922—22no—
614#11719922—22no—
615#11719922—41no—
616#11719922—41no—
617#11719922—41no—
618#11719921—21no—
619#11719921—21no—
620#11719921—21no—
621#11719921—21no—
622#11719921—21no—
623#11719921—21no—
624#11719921—21no—
625#11719921—21no—
626#11719921—21no—
627#11719921—21no—
628#11719921—21no—
629#11719921—21no—
630#11719921—21no—
631#11719921—21no—
632#11719921—21no—
633#11719921—21no—
634#11719921—21no—
635#11719921—21no—
636#11719921C2×D411yescharacteristic
637#11719921C2×D411yescharacteristic
638#11719921C2×D411yescharacteristic
639#11719921C2×D411yescharacteristic
640#11719921C2×D411yescharacteristic
641#11719921C2×D411yescharacteristic
642C4⋊Dic53—21no—
643C4⋊Dic53—21no—
644C4⋊Dic53—21no—
645C4⋊Dic53—21no—
646C4⋊Dic53—21no—
647C4⋊Dic53C2×D411yescharacteristic
648C4⋊Dic53C2×D411yescharacteristic
649C4⋊Dic53C2411yescharacteristic
650C4⋊Dic53C2411yescharacteristic
651C4⋊Dic53C2411yescharacteristic
652C4⋊Dic53C2411yescharacteristic
653#11719919—21no—
654#11719919—21no—
655#11719919—21no—
656#11719919—21no—
657#11719919—21no—
658#11719919—21no—
659#11719919—21no—
660#11719919—21no—
661#11719919—21no—
662#11719919—21no—
663#11719919C2×D411yescharacteristic
664#11719919C2×D411yescharacteristic
665#11719919C2×D411yescharacteristic
666#11719919C2×D411yescharacteristic
667#11719919C2×D411yescharacteristic
668#11719919C2×D411yescharacteristic
669C4×Dic53—21no—
670C4×Dic53—21no—
671C4×Dic53—21no—
672C4×Dic53—21no—
673C4×Dic53—21no—
674C4×Dic53—21no—
675C4×Dic53—21no—
676C4×Dic53C2×D411yescharacteristic
677C4×Dic53C2×D411yescharacteristic
678C4×Dic53C2411yescharacteristic
679C4×Dic53C2411yescharacteristic
680C2×#88322C2411yescharacteristic
681C2×#88322C2411yescharacteristic
682C2×#88322C2411yescharacteristic
683C2×#88322C2411yescharacteristic
684D424—22no—
685D424—41no—
686#11719913—22no—
687#11719913—41no—
688#11719912—22no—
689C8×D53—22no—
690C8×D53—41no—
691C8×D53—41no—
692C23×C53—21no—
693C23×C53—21no—
694C23×C53—21no—
695C23×C53—42no—
696C23×C53—81no—
697C23×C53—81no—
698C23×C53C22×D411yescharacteristic
699C22×D53—21no—
700C22×D53—21no—
701C22×D53—21no—
702C22×D53—42no—
703C22×D53—81no—
704C22×D53—81no—
705C22×D53C22×D411yescharacteristic
706C22×D53C22×D411yescharacteristic
707Q8×C53—21no—
708Q8×C53C2×#4112yes—
709D4×C53—21no—
710D4×C53—21no—
711D4×C53—21no—
712D4×C53—21no—
713D4×C53—21no—
714D4×C53—42no—
715D4×C53—42no—
716D4×C53C2×#4112yes—
717C2×C4×C53—21no—
718C2×C4×C53—21no—
719C2×C4×C53—21no—
720C2×C4×C53—21no—
721C2×C4×C53—21no—
722C2×C4×C53—21no—
723C2×C4×C53—21no—
724C2×C4×C53—42no—
725C2×C4×C53—81no—
726C2×C4×C53—81no—
727C2×C4×C53—81no—
728C2×C4×C53—81no—
729C2×C4×C53—81no—
730C2×C4×C53—81no—
731C2×C4×C53—81no—
732C2×C4×C53C22×D411yescharacteristic
733C2×C4×C53C22×D411yescharacteristic
734C2×C4×C53C22×D411yescharacteristic
735C2×C4×C53C22×D411yescharacteristic
736C2×C4×C53C22×D411yescharacteristic
737C2×C4×C53C2511yescharacteristic
738C22⋊D53—22no—
739C22⋊D53—41no—
740C22⋊D53—42no—
741C22⋊D53—42no—
742C22⋊D53—42no—
743C22⋊D53—42no—
744C22⋊D53—81no—
745C22⋊D53—81no—
746C22⋊D53—81no—
747C22⋊D53—81no—
748C22⋊D53—81no—
749C22⋊D53—81no—
750C22⋊D53—81no—
751C22⋊D53—81no—
752C22⋊D53—81no—
753C22⋊D53—81no—
754C22⋊D53—81no—
755C2×Dic53—21no—
756C2×Dic53—21no—
757C2×Dic53—21no—
758C2×Dic53—21no—
759C2×Dic53—21no—
760C2×Dic53—42no—
761C2×Dic53—42no—
762C2×Dic53—81no—
763C2×Dic53C22×D411yescharacteristic
764C2×Dic53C22×D411yescharacteristic
765C2×Dic53C22×D411yescharacteristic
766C2×Dic53C22×D411yescharacteristic
767C2×Dic53C22×D411yescharacteristic
768C2×Dic53C22×D411yescharacteristic
769D212—21no—
770D212—21no—
771D212—21no—
772D212—21no—
773D212—21no—
774D212—21no—
775D212—41no—
776D212—42no—
777D212—42no—
778D212—81no—
779D212—81no—
780D212—81no—
781D212—81no—
782D212—81no—
783C4×D53—21no—
784C4×D53—21no—
785C4×D53—21no—
786C4×D53—21no—
787C4×D53—22no—
788C4×D53—41no—
789C4×D53—42no—
790C4×D53—42no—
791C4×D53—42no—
792C4×D53—81no—
793C4×D53—81no—
794C4×D53—81no—
795C4×D53—81no—
796C4×D53—81no—
797C4×D53—81no—
798Dic106—22no—
799Dic106—21no—
800Dic106—21no—
801Dic106—42no—
802Dic106—42no—
803Dic106—81no—
804Dic106—81no—
805C8×C53—21no—
806C8×C53—21no—
807C8×C53—21no—
808C8×C53C2×#4112yes—
809#88322—21no—
810#88322—21no—
811#88322—21no—
812#88322—21no—
813#61494—531nomaximal, Sylow
814C22×C53—21no—
815C22×C53—22no—
816C22×C53—21no—
817C22×C53—21no—
818C22×C53—41no—
819C22×C53—41no—
820C22×C53—41no—
821C22×C53—41no—
822C22×C53—41no—
823C22×C53—41no—
824C22×C53—41no—
825C22×C53—41no—
826C22×C53—162no—
827C22×C53C23×D411yescharacteristic
828C2×D53—21no—
829C2×D53—21no—
830C2×D53—21no—
831C2×D53—21no—
832C2×D53—21no—
833C2×D53—21no—
834C2×D53—41no—
835C2×D53—41no—
836C2×D53—41no—
837C2×D53—41no—
838C2×D53—41no—
839C2×D53—41no—
840C2×D53—41no—
841C2×D53—41no—
842C2×D53—41no—
843C2×D53—162no—
844C4×C53—21no—
845C4×C53—21no—
846C4×C53—22no—
847C4×C53—21no—
848C4×C53—21no—
849C4×C53—21no—
850C4×C53—41no—
851C4×C53—41no—
852C4×C53—41no—
853C4×C53—41no—
854C4×C53C22×#4111yescharacteristic
855C4×C53#58511yescharacteristic
856Dic53—21no—
857Dic53—21no—
858Dic53—21no—
859Dic53—21no—
860Dic53—21no—
861Dic53—41no—
862Dic53—41no—
863Dic53—41no—
864Dic53—41no—
865Dic53—41no—
866Dic53#57612yes—
867#3517—531no—
868#3514—531no—
869#3399—531no—
870#3386—531no—
871#3365—531no—
872#3358—531no—
873#3353—531no—
874#3347—531no—
875#3347—531no—
876#3305—531no—
877#3305—531no—
878#3304—531no—
879#3297—531no—
880#3297—531no—
881#3294—531no—
882#3274—531no—
883#3268—531no—
884#3268—531no—
885#3179—531no—
886#3179—531no—
887#3169—531no—
888#3124—531no—
889#3124—531no—
890#3122—531no—
891#3122—531no—
892#3115—531no—
893#3115—531no—
894#2966—531no—
895#2946—531no—
896#2946D5311yescharacteristic, complemented
897C4×#135—531no—
898C2×C53—42no—
899C2×C53—41no—
900C2×C53—81no—
901C2×C53—81no—
902C2×C53D4×#4111yescharacteristic
903C2×C53C2×#57611yescharacteristic
904C2×C53#358411yescharacteristic
905D53—41no—
906D53—41no—
907D53—81no—
908D53—81no—
909D53—81no—
910C2×AGL(1,ℤ/8)—531no—
911C2×AGL(1,ℤ/8)C2×D5311yescharacteristic
912C2×#135—531no—
913#559—531no—
914#557—531no—
915#556—531no—
916#555—531no—
917#555—531no—
918#553—531no—
919#553—531no—
920#553—1061no—
921#553—1061no—
922#551—1061no—
923#551—1061no—
924#550—531no—
925#550—531no—
926#550—531no—
927#550—531no—
928#550—1061no—
929D4×Q8—531no—
930#548—1061no—
931#547—531no—
932#547—1061no—
933#546—531no—
934#546—531no—
935#546—1061no—
936D42—531no—
937#542—531no—
938#542—531no—
939#540—531no—
940#540—531no—
941#540—1061no—
942#540—1061no—
943#538—1061no—
944#538—1061no—
945#532—531no—
946#532—531no—
947#532—1061no—
948#529—531no—
949#529—1061no—
950#529—1061no—
951C2×#124—1061no—
952#520—531no—
953#520C2×D5311yescharacteristic, complemented
954#518—531no—
955#518C2×D5311yescharacteristic
956C4×#41—531no—
957C4×#41—531no—
958#501—531no—
959#501—531no—
960#500—531no—
961#496—531no—
962#496—531no—
963#493—531no—
964#488—531no—
965#488—531no—
966#486—531no—
967#486—531no—
968#486—531no—
969#486—531no—
970#484—531no—
971#484—531no—
972#482—531no—
973#482—531no—
974#482—531no—
975#482—531no—
976#482—531no—
977#482—531no—
978#482—531no—
979#482—531no—
980#480—531no—
981#480—531no—
982#478—531no—
983#478—531no—
984#478—531no—
985#478—531no—
986#477—531no—
987#477—531no—
988#475—531no—
989#475—531no—
990#474—531no—
991#474—531no—
992#474—531no—
993#474—531no—
994#469—531no—
995#469—531no—
996#468—531no—
997#468—531no—
998#466—531no—
999#466—531no—
1000#466—531no—
1001#466—531no—
1002#466—531no—
1003#466—531no—
1004#465—531no—
1005#465—531no—
1006#464—531no—
1007#464—531no—
1008#463—531no—
1009#463—531no—
1010#460—531no—
1011#460—531no—
1012#459—531no—
1013#459—531no—
1014#459—531no—
1015#459—531no—
1016#459—531no—
1017#459—531no—
1018#452—531no—
1019#452—531no—
1020#449—531no—
1021#449—531no—
1022#449—531no—
1023#449—531no—
1024#449—531no—
1025#449—531no—
1026#447—531no—
1027#447—531no—
1028#447—531no—
1029#447—531no—
1030#446—531no—
1031C8×Q8—531no—
1032#442—531no—
1033#442—531no—
1034#442—531no—
1035#442—531no—
1036#442C2×D5311yescharacteristic
1037#442C2×D5311yescharacteristic, complemented
1038#440—531no—
1039#440—531no—
1040#440—531no—
1041#440—531no—
1042#440C2×D5311yescharacteristic
1043#440C2×D5311yescharacteristic, complemented
1044C4×Q16—531no—
1045C4×Q16—531no—
1046C4×SD16—531no—
1047C4×SD16—531no—
1048C4×SD16—531no—
1049C4×SD16—531no—
1050C4×SD16C2×D5311yescharacteristic
1051C4×SD16C2×D5311yescharacteristic, complemented
1052C4×D8—531no—
1053C4×D8—531no—
1054C4×D8—531no—
1055C4×D8—531no—
1056C4×D8—531no—
1057C4×D8—531no—
1058C4×D8C2×D5311yescharacteristic
1059C4×D8C2×D5311yescharacteristic, complemented
1060#436—531no—
1061#435—531no—
1062#435—531no—
1063C8×D4—531no—
1064C8×D4—531no—
1065C8×D4—531no—
1066#433—531no—
1067#433—531no—
1068#432—531no—
1069#428—531no—
1070#428C2×D5311yescharacteristic, complemented
1071#427—531no—
1072#416—531no—
1073#416—531no—
1074#416—531no—
1075#416C2×D5311yescharacteristic, complemented
1076C2×#102—531no—
1077C2×#102C2×D5311yescharacteristic
1078#405—531no—
1079#405C2×D5311yescharacteristic, complemented
1080C2×C4×C8—531no—
1081C53#6149411yescharacteristic, complemented, Sylow
1082C2×#41—531no—
1083C2×#41—531no—
1084C2×#41—531no—
1085C2×#41—1061no—
1086C2×#41—1061no—
1087C2×#41—1061no—
1088C2×#41—1061no—
1089C2×#41C22×D5311yescharacteristic
1090C22×Q8—1061no—
1091C22×D4—531no—
1092C22×D4—1061no—
1093C22×D4C22×D5311yescharacteristic
1094AGL(1,ℤ/8)—24no—
1095AGL(1,ℤ/8)—1064no—
1096#135—1064no—
1097C2×Q16—531no—
1098C2×SD16—531no—
1099C2×SD16—531no—
1100C2×SD16—531no—
1101C2×SD16—531no—
1102C2×SD16C22×D5311yescharacteristic
1103C2×SD16C22×D5311yescharacteristic
1104C2×D8—531no—
1105C2×D8—531no—
1106C2×D8—531no—
1107C2×D8—531no—
1108C2×D8—531no—
1109C2×D8—531no—
1110C2×D8—531no—
1111C2×D8C22×D5311yescharacteristic
1112C2×D8C22×D5311yescharacteristic
1113C2×M16—531no—
1114C2×M16C22×D5311yescharacteristic
1115C22×C8—531no—
1116C22×C8—531no—
1117C22×C8—531no—
1118C22×C8C22×D5311yescharacteristic
1119C4⋊Q8—531no—
1120C4⋊Q8—531no—
1121C4⋊Q8—531no—
1122C4⋊Q8—531no—
1123C4⋊Q8—1061no—
1124#127—531no—
1125#127—531no—
1126#127—531no—
1127#127—531no—
1128#127—1061no—
1129#127—1061no—
1130#127—1061no—
1131#126—531no—
1132#126—531no—
1133#126—1061no—
1134#126—1061no—
1135#126—1061no—
1136#126—1061no—
1137#126—1061no—
1138#126—1061no—
1139#125—531no—
1140#125—531no—
1141#125—531no—
1142#125—1061no—
1143#125—1061no—
1144#124—531no—
1145#124—531no—
1146#124—531no—
1147#124—1061no—
1148#124—1061no—
1149#124—1061no—
1150#124—1061no—
1151#124—1061no—
1152#124—1061no—
1153#124—1061no—
1154#124—1061no—
1155#124—1061no—
1156#124—1061no—
1157#123—531no—
1158#123—531no—
1159#123—1061no—
1160#123—1061no—
1161#123—1061no—
1162#123—1061no—
1163#123—1061no—
1164#123—1061no—
1165#123—1061no—
1166#123—1061no—
1167#123—1061no—
1168#123—1061no—
1169#123—1061no—
1170#123—1061no—
1171#123—1061no—
1172#123—1061no—
1173C22⋊Q8—531no—
1174C22⋊Q8—531no—
1175C22⋊Q8—531no—
1176C22⋊Q8—1061no—
1177C22⋊Q8—1061no—
1178C22⋊Q8—1061no—
1179C22⋊Q8—1061no—
1180C22⋊Q8—1061no—
1181C22⋊Q8—1061no—
1182#121—531no—
1183#121—531no—
1184#121—531no—
1185#121—531no—
1186#121—531no—
1187#121—531no—
1188#121—531no—
1189#121—531no—
1190#121—531no—
1191#121—531no—
1192#121—531no—
1193#121—1061no—
1194#121—1061no—
1195#121—1061no—
1196#121—1061no—
1197#121—1061no—
1198#121—1061no—
1199#121—1061no—
1200#121—1061no—
1201#121—1061no—
1202#121—1061no—
1203#121—1061no—
1204#121—1061no—
1205#121—1061no—
1206#121—1061no—
1207#121—1061no—
1208#121—1061no—
1209#121—1061no—
1210#121—1061no—
1211#121—1061no—
1212#121—1061no—
1213#121—1061no—
1214#121—1061no—
1215#120—1061no—
1216#120—1061no—
1217#120—1061no—
1218#120—1061no—
1219C4×Q8—531no—
1220C4×Q8—531no—
1221C4×Q8—531no—
1222C4×Q8—531no—
1223C4×Q8—531no—
1224C4×Q8—1061no—
1225C4×Q8—1061no—
1226C4×Q8C22×D5311yescharacteristic
1227C4×Q8C22×D5311yescharacteristic
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—531no—
1233C4×D4—531no—
1234C4×D4—531no—
1235C4×D4—531no—
1236C4×D4—531no—
1237C4×D4—531no—
1238C4×D4—531no—
1239C4×D4—531no—
1240C4×D4—531no—
1241C4×D4—531no—
1242C4×D4—531no—
1243C4×D4—1061no—
1244C4×D4—1061no—
1245C4×D4—1061no—
1246C4×D4—1061no—
1247C4×D4—1061no—
1248C4×D4—1061no—
1249C4×D4—1061no—
1250C4×D4—1061no—
1251C4×D4—1061no—
1252C4×D4—1061no—
1253C4×D4—1061no—
1254C4×D4—1061no—
1255C4×D4—1061no—
1256C4×D4—1061no—
1257C4×D4—1061no—
1258C4×D4—1061no—
1259C4×D4C22×D5311yescharacteristic
1260C4×D4C22×D5311yescharacteristic
1261C4×D4C22×D5311yescharacteristic
1262C4×D4C22×D5311yescharacteristic
1263C4×D4C22×D5311yescharacteristic
1264C4×D4C22×D5311yescharacteristic
1265#117—21no—
1266#117—531no—
1267#117—531no—
1268#117—531no—
1269#117—531no—
1270#117—1061no—
1271#117—1061no—
1272#117—1061no—
1273#117—1061no—
1274#117—1061no—
1275#117C22×D5311yescharacteristic
1276#117C22×D5311yescharacteristic
1277C2×C4⋊C4—21no—
1278C2×C4⋊C4—531no—
1279C2×C4⋊C4—1061no—
1280C2×C4⋊C4C22×D5311yescharacteristic
1281C2×C22⋊C4—21no—
1282C2×C22⋊C4—21no—
1283C2×C22⋊C4—1061no—
1284C2×C22⋊C4—1061no—
1285C2×C22⋊C4—1061no—
1286C2×C22⋊C4—1061no—
1287C2×C42—531no—
1288C2×C42—1061no—
1289C2×C42—1061no—
1290#107—531no—
1291#107—531no—
1292#107—531no—
1293#107—531no—
1294#107—531no—
1295#107—531no—
1296#107—531no—
1297#107—531no—
1298#107C22×D5311yescharacteristic
1299#107C22×D5311yescharacteristic
1300#106—531no—
1301#106—531no—
1302#106—531no—
1303#106—531no—
1304#106C22×D5311yescharacteristic
1305#106C22×D5311yescharacteristic
1306C4⋊C8—531no—
1307C4⋊C8—531no—
1308C4⋊C8—531no—
1309C4⋊C8—531no—
1310C4⋊C8—531no—
1311C4⋊C8—531no—
1312#103—531no—
1313#103—531no—
1314#103—531no—
1315#103—531no—
1316#103—531no—
1317#103—531no—
1318#103C22×D5311yescharacteristic
1319#103C22×D5311yescharacteristic
1320#102—531no—
1321#102—531no—
1322#102—531no—
1323#102—531no—
1324#102—531no—
1325#102—531no—
1326#102—531no—
1327#102—531no—
1328#102—531no—
1329#102—531no—
1330#102—531no—
1331#102—531no—
1332#102—531no—
1333#102—531no—
1334#102—531no—
1335#102—531no—
1336#102—531no—
1337#102—531no—
1338#102C22×D5311yescharacteristic
1339#102C22×D5311yescharacteristic
1340#102C22×D5311yescharacteristic
1341#102C22×D5311yescharacteristic
1342#102C22×D5311yescharacteristic
1343#102C22×D5311yescharacteristic
1344C22⋊C8—531no—
1345C22⋊C8—531no—
1346C22⋊C8—531no—
1347C22⋊C8—531no—
1348C22⋊C8—531no—
1349C22⋊C8—531no—
1350#97—531no—
1351#97—531no—
1352#97C22×D5311yescharacteristic
1353#97C22×D5311yescharacteristic
1354C4×C8—531no—
1355C4×C8—531no—
1356C4×C8—531no—
1357C4×C8—531no—
1358C4×C8C22×D5311yescharacteristic
1359C4×C8C22×D5311yescharacteristic
1360C24—21no—
1361C24—1061no—
1362#41—22no—
1363#41—41no—
1364#41—1062no—
1365#41—1062no—
1366#41—1062no—
1367#41—4242no—
1368#41—4242no—
1369#41—4242no—
1370#41—4242no—
1371#41—2121no—
1372#41—2121no—
1373#41—2121no—
1374C2×Q8—531no—
1375C2×Q8—531no—
1376C2×Q8—1061no—
1377C2×Q8—1061no—
1378C2×Q8—1061no—
1379C2×Q8—1061no—
1380C2×Q8—4242no—
1381C2×Q8C23×D5311yescharacteristic
1382C2×D4—22no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—41no—
1386C2×D4—531no—
1387C2×D4—531no—
1388C2×D4—531no—
1389C2×D4—531no—
1390C2×D4—531no—
1391C2×D4—531no—
1392C2×D4—1061no—
1393C2×D4—1061no—
1394C2×D4—1061no—
1395C2×D4—1061no—
1396C2×D4—1061no—
1397C2×D4—1061no—
1398C2×D4—1061no—
1399C2×D4—1061no—
1400C2×D4—1061no—
1401C2×D4—1061no—
1402C2×D4—1061no—
1403C2×D4—1061no—
1404C2×D4—1062no—
1405C2×D4—1061no—
1406C2×D4—1061no—
1407C2×D4—1061no—
1408C2×D4—1061no—
1409C2×D4—1061no—
1410C2×D4—1061no—
1411C2×D4—1061no—
1412C2×D4—1061no—
1413C2×D4—1061no—
1414C2×D4—1061no—
1415C2×D4—4242no—
1416C2×D4—2121no—
1417C2×D4C23×D5311yescharacteristic
1418C2×D4C23×D5311yescharacteristic
1419C2×D4C23×D5311yescharacteristic
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—531no—
1429C22×C4—531no—
1430C22×C4—531no—
1431C22×C4—531no—
1432C22×C4—1061no—
1433C22×C4—1061no—
1434C22×C4—1061no—
1435C22×C4—1061no—
1436C22×C4—1061no—
1437C22×C4—1061no—
1438C22×C4—1061no—
1439C22×C4—1061no—
1440C22×C4—1061no—
1441C22×C4—1061no—
1442C22×C4—1061no—
1443C22×C4—1061no—
1444C22×C4C23×D5311yescharacteristic
1445Q16—1062no—
1446SD16—22no—
1447SD16—1062no—
1448SD16—1062no—
1449SD16—2121no—
1450SD16—2121no—
1451SD16#1171994514yescomplemented
1452D8—22no—
1453D8—22no—
1454D8—1062no—
1455D8—1062no—
1456D8—1062no—
1457D8—2121no—
1458D8—2121no—
1459D8—2121no—
1460D8—2121no—
1461M16—22no—
1462M16—1062no—
1463C2×C8—41no—
1464C2×C8—531no—
1465C2×C8—531no—
1466C2×C8—531no—
1467C2×C8—531no—
1468C2×C8—1062no—
1469C2×C8—2121no—
1470C2×C8—2121no—
1471C2×C8C23×D5311yescharacteristic
1472C2×C8C23×D5311yescharacteristic
1473C2×C8C23×D5311yescharacteristic
1474C2×C8C23×D5311yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—531no—
1479C4⋊C4—531no—
1480C4⋊C4—531no—
1481C4⋊C4—531no—
1482C4⋊C4—531no—
1483C4⋊C4—531no—
1484C4⋊C4—531no—
1485C4⋊C4—531no—
1486C4⋊C4—531no—
1487C4⋊C4—531no—
1488C4⋊C4—531no—
1489C4⋊C4—531no—
1490C4⋊C4—1061no—
1491C4⋊C4—1061no—
1492C4⋊C4—1061no—
1493C4⋊C4—1061no—
1494C4⋊C4—1061no—
1495C4⋊C4—1061no—
1496C4⋊C4—1061no—
1497C4⋊C4—1061no—
1498C4⋊C4—1061no—
1499C4⋊C4—1061no—
1500C4⋊C4—1061no—
1501C4⋊C4—1061no—
1502C4⋊C4—1061no—
1503C4⋊C4—1061no—
1504C4⋊C4—1061no—
1505C4⋊C4D4×D5311yescharacteristic
1506C4⋊C4D4×D5311yescharacteristic
1507C4⋊C4C23×D5311yescharacteristic
1508C4⋊C4C23×D5311yescharacteristic
1509C4⋊C4C23×D5311yescharacteristic
1510C4⋊C4C23×D5311yescharacteristic
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—531no—
1519C22⋊C4—531no—
1520C22⋊C4—531no—
1521C22⋊C4—531no—
1522C22⋊C4—531no—
1523C22⋊C4—531no—
1524C22⋊C4—531no—
1525C22⋊C4—531no—
1526C22⋊C4—1061no—
1527C22⋊C4—1061no—
1528C22⋊C4—1061no—
1529C22⋊C4—1061no—
1530C22⋊C4—1061no—
1531C22⋊C4—1061no—
1532C22⋊C4—1061no—
1533C22⋊C4—1061no—
1534C22⋊C4—1061no—
1535C22⋊C4—1061no—
1536C22⋊C4—1061no—
1537C22⋊C4—1061no—
1538C22⋊C4—1061no—
1539C22⋊C4—1061no—
1540C22⋊C4—1061no—
1541C22⋊C4—1061no—
1542C22⋊C4—1061no—
1543C22⋊C4—1061no—
1544C22⋊C4—1061no—
1545C22⋊C4—1061no—
1546C22⋊C4—1061no—
1547C22⋊C4—1061no—
1548C22⋊C4—1061no—
1549C22⋊C4—1061no—
1550C22⋊C4—1061no—
1551C22⋊C4—1061no—
1552C22⋊C4—1061no—
1553C22⋊C4D4×D5311yescharacteristic
1554C22⋊C4D4×D5311yescharacteristic
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42—531no—
1559C42—531no—
1560C42—531no—
1561C42—531no—
1562C42—1061no—
1563C42—1061no—
1564C42—1061no—
1565C42—1061no—
1566C42—1061no—
1567C42—1061no—
1568C42—1061no—
1569C42C23×D5311yescharacteristic
1570C42C23×D5311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—42no—
1575C23—81no—
1576C23—81no—
1577C23—531no—
1578C23—531no—
1579C23—1061no—
1580C23—1061no—
1581C23—1061no—
1582C23—4241no—
1583C23—4241no—
1584C23—2122no—
1585C23C2×D4×D5311yescharacteristic
1586Q8—21no—
1587Q8—1062no—
1588Q8—1061no—
1589Q8—1061no—
1590Q8—4241no—
1591Q8—4241no—
1592Q8—2122no—
1593Q8—2122no—
1594Q8C2×#1171994512yes—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—42no—
1601D4—42no—
1602D4—1062no—
1603D4—1061no—
1604D4—1061no—
1605D4—1061no—
1606D4—1061no—
1607D4—1061no—
1608D4—1061no—
1609D4—4241no—
1610D4—4241no—
1611D4—4241no—
1612D4—4241no—
1613D4—4241no—
1614D4—4241no—
1615D4—4241no—
1616D4—4241no—
1617D4—4241no—
1618D4—4241no—
1619D4—4241no—
1620D4—4241no—
1621D4—4241no—
1622D4—4241no—
1623D4—4241no—
1624D4—4241no—
1625D4—2121no—
1626D4—2122no—
1627D4—2122no—
1628D4—2122no—
1629D4—2122no—
1630D4—2121no—
1631D4—2122no—
1632D4—2122no—
1633D4C2×#1171994512yes—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—42no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—531no—
1650C2×C4—531no—
1651C2×C4—531no—
1652C2×C4—531no—
1653C2×C4—531no—
1654C2×C4—531no—
1655C2×C4—1062no—
1656C2×C4—1061no—
1657C2×C4—1061no—
1658C2×C4—1061no—
1659C2×C4—1061no—
1660C2×C4—1061no—
1661C2×C4—1061no—
1662C2×C4—1061no—
1663C2×C4—1061no—
1664C2×C4—1061no—
1665C2×C4—4241no—
1666C2×C4—4241no—
1667C2×C4—4241no—
1668C2×C4—4241no—
1669C2×C4—4241no—
1670C2×C4—4241no—
1671C2×C4—4241no—
1672C2×C4—2121no—
1673C2×C4—2122no—
1674C2×C4—2122no—
1675C2×C4—2122no—
1676C2×C4—2122no—
1677C2×C4—2122no—
1678C2×C4C2×D4×D5311yescharacteristic
1679C2×C4C2×D4×D5311yescharacteristic
1680C2×C4C2×D4×D5311yescharacteristic
1681C2×C4C2×D4×D5311yescharacteristic
1682C2×C4C2×D4×D5311yescharacteristic
1683C2×C4C24×D5311yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—1061no—
1688C8—1061no—
1689C8—1061no—
1690C8—1061no—
1691C8C2×#1171994512yes—
1692C22—21no—
1693C22—21no—
1694C22—22no—
1695C22—21no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—162no—
1705C22—8482no—
1706C22—1061no—
1707C22—1061no—
1708C22—1061no—
1709C22—1061no—
1710C22—1061no—
1711C22—1061no—
1712C22—2121no—
1713C22—2121no—
1714C22—2121no—
1715C22—2121no—
1716C22—2121no—
1717C22—2121no—
1718C22—2121no—
1719C22—2121no—
1720C22—2121no—
1721C22C22×D4×D5311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—22no—
1726C4—21no—
1727C4—21no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—532no—
1733C4—1061no—
1734C4—1061no—
1735C4—1061no—
1736C4—1061no—
1737C4—1061no—
1738C4—2121no—
1739C4—2121no—
1740C4—2121no—
1741C4—2121no—
1742C4—2121no—
1743C4C22×#1171994511yescharacteristic
1744C4#1681145911yescharacteristic
1745C2—41no—
1746C2—42no—
1747C2—81no—
1748C2—81no—
1749C2—4241no—
1750C2—4241no—
1751C2—4241no—
1752C2—2121no—
1753C2—2121no—
1754C2D4×#1171994511yescharacteristic
1755C2#576×D5311yescharacteristic
1756C2#2028948711yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#2946C2
socleC22×C53C23×D4
hypercenter#2946D53
hypocenterC53#61494
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #117 ◁ #2946

Complements

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

NH ≅ G/Ntype
1. #20288715C2semidirect
2. #20288666C2semidirect
3. #20287758C2semidirect
4. #20287637C2semidirect
5. #20287412C2semidirect
6. #20287348C2semidirect
7. #20287295C2semidirect
8. #20287220C2semidirect
9. #20287216C2semidirect
10. #20286667C2semidirect
11. #20286661C2semidirect
12. #20286650C2semidirect
13. #20286570C2semidirect
14. #20286561C2semidirect
15. #20286524C2semidirect
16. #20286329C2semidirect
17. #20286257C2semidirect
18. #20286249C2semidirect
19. #20285402C2semidirect
20. #20285398C2semidirect
21. #20285291C2semidirect
22. #20284977C2semidirect
23. #20284975C2semidirect
24. #20284958C2semidirect
25. #20284957C2semidirect
26. #20284864C2semidirect
27. #20284862C2semidirect
28. #20283686C2semidirect
29. #20283542C2semidirect
30. C4×#13133238C2semidirect
31. C53×#2946C2semidirect
35. #16811349C22semidirect
40. #16811323C22semidirect
42. #16811321C22semidirect
45. #16811295C22semidirect
47. #16811294C22semidirect
49. #16811292C22semidirect
61. #16811228C22semidirect
63. #16811224C22semidirect
68. #16811170C22semidirect
73. #16811105C22semidirect
75. C4×#11719949C22semidirect
77. #16811032C22semidirect
78. #16811031C22semidirect
79. #16811027C22semidirect
80. #16811012C22semidirect
81. #16811011C22semidirect
83. #16810978C22semidirect
84. #16810976C22semidirect
85. #16810970C22semidirect
87. #16810968C22semidirect
88. #16810968C22semidirect
89. #16810960C22semidirect
90. #16810958C22semidirect
91. #16810950C22semidirect
92. #16810949C22semidirect
93. #16810949C22semidirect
94. #16810947C22semidirect
95. #16810947C22semidirect
96. #16810946C22semidirect
97. #16810946C22semidirect
98. #16810945C22semidirect
103. #16810923C22semidirect
104. #16810922C22semidirect
105. #16810918C22semidirect
106. #16810916C22semidirect
107. #16810907C22semidirect
108. #16810906C22semidirect
109. #16810903C22semidirect
110. #16810902C22semidirect
111. #16810902C22semidirect
115. #16810870C22semidirect
116. #16810869C22semidirect
117. #16810860C22semidirect
120. #16810858C22semidirect
121. #16810858C22semidirect
122. #16810856C22semidirect
123. #16810852C22semidirect
124. #16810851C22semidirect
125. #16810845C22semidirect
126. #16810843C22semidirect
127. #16810838C22semidirect
128. #16810837C22semidirect
129. #16810822C22semidirect
132. #16810818C22semidirect
134. #16810817C22semidirect
137. #16810788C22semidirect
138. #16810785C22semidirect
139. #16810771C22semidirect
143. #16810767C22semidirect
149. #16810751C22semidirect
150. C8×Dic106C22semidirect
151. #16810736C22semidirect
152. #16810734C22semidirect
154. #16810733C22semidirect
155. #16810725C22semidirect
157. #16810723C22semidirect
158. #16810721C22semidirect
159. C4×#11719925C22semidirect
160. #16810715C22semidirect
161. C4×#11719913C22semidirect
163. #16810710C22semidirect
164. #16810708C22semidirect
165. C4×D424C22semidirect
167. C4×#11719922C22semidirect
168. C4×#11719922C22semidirect
172. #16810696C22semidirect
173. #16810692C22semidirect
174. C8×D212C22semidirect
176. C8×C22⋊D53C22semidirect
177. #16810685C22semidirect
178. #16810684C22semidirect
179. #16810678C22semidirect
180. #16810662C22semidirect
181. #16810658C22semidirect
182. #16810618C22semidirect
183. #16810618C22semidirect
186. #16810577C22semidirect
187. C4×C8×D53C22semidirect
189. C53×#520C22semidirect
192. C53×#442C22semidirect
194. C53×#440C22semidirect
196. C4×SD16×C53C22semidirect
198. C4×D8×C53C22semidirect
199. C53×#428C22semidirect
200. C53×#416C22semidirect
202. C53×#405C22semidirect
567. SD16×C53#41semidirect
896. #2946D53semidirect
953. #520C2×D53semidirect
1037. #442C2×D53semidirect
1043. #440C2×D53semidirect
1051. C4×SD16C2×D53semidirect
1059. C4×D8C2×D53semidirect
1070. #428C2×D53semidirect
1075. #416C2×D53semidirect
1079. #405C2×D53semidirect
1081. C53#61494semidirect
1451. SD16#11719945semidirect

Maximal subgroups

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

subgroupindex
#202887152
#202886662
#202877582
#202876372
#202874122
#202873482
#202872952
#202872202
#202872162
#202866672
#202866612
#202866502
#202865702
#202865612
#202865242
#202863292
#202862572
#202862492
#202854022
#202853982
#202852912
#202849772
#202849752
#202849582
#202849572
#202848642
#202848622
#202836862
#202835422
C4×#131332382
C53×#29462
#6149453