Finite Group Databasebeta

← #28266973

Subgroups — #28266973

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#20288714C211yesmaximal, characteristic, complemented
2#20288672C211yesmaximal, characteristic, complemented
3#20287758C211yesmaximal, characteristic, complemented
4#20287633C211yesmaximal, characteristic, complemented
5#20287414C211yesmaximal, characteristic, complemented
6#20287349C211yesmaximal, characteristic, complemented
7#20287295C211yesmaximal, characteristic, complemented
8#20287211C211yesmaximal, characteristic, complemented
9#20286663C211yesmaximal, characteristic, complemented
10#20286659C211yesmaximal, characteristic, complemented
11#20286652C211yesmaximal, characteristic, complemented
12#20286568C211yesmaximal, characteristic, complemented
13#20286559C211yesmaximal, characteristic, complemented
14#20286526C211yesmaximal, characteristic, complemented
15#20286332C211yesmaximal, characteristic, complemented
16#20286260C211yesmaximal, characteristic, complemented
17#20286252C211yesmaximal, characteristic, complemented
18#20285403C211yesmaximal, characteristic, complemented
19#20285399C211yesmaximal, characteristic, complemented
20#20285289C211yesmaximal, characteristic, complemented
21#20284982C211yesmaximal, characteristic, complemented
22#20284972C211yesmaximal, characteristic, complemented
23#20284960C211yesmaximal, characteristic, complemented
24#20284954C211yesmaximal, characteristic, complemented
25#20284861C211yesmaximal, characteristic, complemented
26#20284861C211yesmaximal, characteristic, complemented
27#20283685C211yesmaximal, characteristic, complemented
28#20283545C211yesmaximal, characteristic, complemented
29#20283544C211yesmaximal, characteristic, complemented
30#20283486C211yesmaximal, characteristic, complemented
31C53×#3347C211yesmaximal, characteristic, complemented
32C2×#13133245C2211yescharacteristic
33C2×#13133241C2211yescharacteristic
34C2×#13133239C2211yescharacteristic
35#16811356C2211yescharacteristic
36#16811350C2211yescharacteristic, complemented
37#16811341C2211yescharacteristic
38#16811336C2211yescharacteristic
39#16811324—21no—
40#16811322—21no—
41#16811317C2211yescharacteristic, complemented
42#16811303—21no—
43#16811297—21no—
44#16811294C2211yescharacteristic, complemented
45#16811294C2211yescharacteristic, complemented
46#16811291—21no—
47#16811291C2211yescharacteristic
48#16811291C2211yescharacteristic, complemented
49#16811288C2211yescharacteristic
50#16811281—21no—
51#16811274C2211yescharacteristic
52#16811271—21no—
53#16811270C2211yescharacteristic
54#16811269C2211yescharacteristic
55#16811262—21no—
56#16811257C2211yescharacteristic
57#16811247C2211yescharacteristic
58#16811240C2211yescharacteristic
59#16811229C2211yescharacteristic, complemented
60#16811226C2211yescharacteristic, complemented
61#16811225—21no—
62#16811223—21no—
63#16811207—21no—
64#16811205—21no—
65#16811170—21no—
66#16811168C2211yescharacteristic
67#16811168C2211yescharacteristic, complemented
68#16811156—21no—
69#16811153C2211yescharacteristic
70#16811151—21no—
71#124×D53—21no—
72#16811104C2211yescharacteristic, complemented
73#16811102C2211yescharacteristic, complemented
74#16811097C2211yescharacteristic
75#16811095C2211yescharacteristic
76#16811091C2211yescharacteristic
77#16811091C2211yescharacteristic, complemented
78#16811030C2211yescharacteristic, complemented
79#16811027C2211yescharacteristic, complemented
80#16811012C2211yescharacteristic, complemented
81#16811011C2211yescharacteristic, complemented
82#16810998C2211yescharacteristic
83#16810980C2211yescharacteristic, complemented
84#16810976C2211yescharacteristic, complemented
85#16810971C2211yescharacteristic, complemented
86#16810968C2211yescharacteristic
87#16810968C2211yescharacteristic, complemented
88#16810968C2211yescharacteristic, complemented
89#16810960C2211yescharacteristic, complemented
90#16810958C2211yescharacteristic, complemented
91#16810950C2211yescharacteristic, complemented
92#16810949C2211yescharacteristic, complemented
93#16810947C2211yescharacteristic, complemented
94#16810947C2211yescharacteristic, complemented
95#16810947C2211yescharacteristic, complemented
96#16810938C2211yescharacteristic
97#16810926C2211yescharacteristic, complemented
98#16810922C2211yescharacteristic
99#16810920C2211yescharacteristic
100#16810917C2211yescharacteristic, complemented
101#16810915C2211yescharacteristic, complemented
102#16810907C2211yescharacteristic, complemented
103#16810907C2211yescharacteristic, complemented
104#16810902C2211yescharacteristic
105#16810902C2211yescharacteristic, complemented
106#16810902C2211yescharacteristic, complemented
107#16810877C2211yescharacteristic
108#16810870C2211yescharacteristic, complemented
109#16810869C2211yescharacteristic, complemented
110#16810860C2211yescharacteristic
111#16810859C2211yescharacteristic, complemented
112#16810857C2211yescharacteristic
113#16810857C2211yescharacteristic, complemented
114#16810857C2211yescharacteristic, complemented
115#16810853C2211yescharacteristic, complemented
116#16810850C2211yescharacteristic, complemented
117#16810846C2211yescharacteristic, complemented
118#16810844C2211yescharacteristic, complemented
119#16810838C2211yescharacteristic, complemented
120#16810837C2211yescharacteristic, complemented
121#16810822C2211yescharacteristic
122#16810822C2211yescharacteristic, complemented
123#16810819C2211yescharacteristic
124#16810818C2211yescharacteristic, complemented
125#16810817C2211yescharacteristic
126#16810817C2211yescharacteristic
127#16810817C2211yescharacteristic
128#16810817C2211yescharacteristic, complemented
129#16810787C2211yescharacteristic, complemented
130#16810786C2211yescharacteristic, complemented
131#16810770C2211yescharacteristic
132#16810770C2211yescharacteristic, complemented
133#16810769C2211yescharacteristic
134#16810766C2211yescharacteristic
135#16810766C2211yescharacteristic
136#16810766C2211yescharacteristic, complemented
137#16810759C2211yescharacteristic
138#16810758C2211yescharacteristic
139#16810758C2211yescharacteristic
140#16810756C2211yescharacteristic
141#16810751C2211yescharacteristic, complemented
142#16810747C2211yescharacteristic, complemented
143#16810734C2211yescharacteristic
144#16810734C2211yescharacteristic, complemented
145#16810734C2211yescharacteristic, complemented
146#16810732C2211yescharacteristic
147#16810732C2211yescharacteristic, complemented
148#16810725C2211yescharacteristic
149#16810722C2211yescharacteristic
150#16810722C2211yescharacteristic, complemented
151#16810722C2211yescharacteristic, complemented
152#16810720C2211yescharacteristic, complemented
153#16810720C2211yescharacteristic, complemented
154#16810717C2211yescharacteristic, complemented
155#16810717C2211yescharacteristic, complemented
156#16810710C2211yescharacteristic
157#16810710C2211yescharacteristic
158#16810710C2211yescharacteristic, complemented
159#16810710C2211yescharacteristic, complemented
160#16810710C2211yescharacteristic, complemented
161C4×#11719923C2211yescharacteristic, complemented
162D8×Dic53C2211yescharacteristic, complemented
163#16810705C2211yescharacteristic
164#16810705C2211yescharacteristic
165#16810705C2211yescharacteristic
166#16810705C2211yescharacteristic, complemented
167C4×#11719922C2211yescharacteristic
168#16810703C2211yescharacteristic, complemented
169#16810703C2211yescharacteristic, complemented
170#16810699C2211yescharacteristic
171#16810694C2211yescharacteristic, complemented
172D4×#88322C2211yescharacteristic, complemented
173#16810686C2211yescharacteristic
174#16810686C2211yescharacteristic, complemented
175#16810683C2211yescharacteristic, complemented
176#16810681C2211yescharacteristic, complemented
177#16810677C2211yescharacteristic, complemented
178#16810662C2211yescharacteristic, complemented
179#16810617C2211yescharacteristic
180#16810617C2211yescharacteristic, complemented
181#16810617C2211yescharacteristic, complemented
182#16810616C2211yescharacteristic, complemented
183C2×#13133137C2211yescharacteristic
184#102×D53C2211yescharacteristic
185#16810581C2211yescharacteristic, complemented
186#16810580C2211yescharacteristic, complemented
187C2×C8×Dic53C2211yescharacteristic, complemented
188C53×#555C2211yescharacteristic
189C53×#553C2211yescharacteristic, complemented
190C53×#501C2211yescharacteristic, complemented
191C53×#482C2211yescharacteristic, complemented
192C53×#482C2211yescharacteristic, complemented
193C53×#482C2211yescharacteristic, complemented
194C53×#480C2211yescharacteristic
195C53×#478C2211yescharacteristic, complemented
196C53×#474C2211yescharacteristic, complemented
197C53×#469C2211yescharacteristic
198C53×#466C2211yescharacteristic, complemented
199C53×#442C2211yescharacteristic, complemented
200C53×#435C2211yescharacteristic, complemented
201C53×#428C2211yescharacteristic, complemented
202C53×#427C2211yescharacteristic, complemented
203C2×#11719945—21no—
204C2×#11719945—21no—
205C2×#11719945C2311yescharacteristic
206C2×#11719945C2311yescharacteristic
207C2×#11719945C2311yescharacteristic
208C2×#11719947—21no—
209C2×#11719947—21no—
210C2×#11719947C2311yescharacteristic
211C2×Q8×D53—21no—
212C22×D212C2311yescharacteristic
213C2×D4×D53—21no—
214C2×D4×D53C2311yescharacteristic
215#13133245—24no—
216#13133241—24no—
217#13133239—24no—
218C2×Dic212C2311yescharacteristic
219C2×#11719913C2311yescharacteristic
220C2×#11719913C2311yescharacteristic
221C2×#11719913C2311yescharacteristic
222C2×#11719913C2311yescharacteristic
223C2×#11719923C2311yescharacteristic
224C2×#11719923C2311yescharacteristic
225C2×D424C2311yescharacteristic
226C2×D424C2311yescharacteristic
227C2×D424C2311yescharacteristic
228C2×D424C2311yescharacteristic
229C2×#11719922C2311yescharacteristic
230C2×#11719922C2311yescharacteristic
231C2×#11719922C2311yescharacteristic
232C2×#11719922C2311yescharacteristic
233C2×#11719912C2311yescharacteristic
234C22×#88322C2311yescharacteristic
235C22×#88322C2311yescharacteristic
236C2×C8×D53C2311yescharacteristic
237#13133216—21no—
238#13133216C2311yescharacteristic
239#13133216C2311yescharacteristic
240#13133216C2311yescharacteristic
241#13133214C2311yescharacteristic
242#13133213—21no—
243#13133213—21no—
244#13133213—21no—
245#13133213C2311yescharacteristic
246#13133213C2311yescharacteristic
247#13133213C2311yescharacteristic
248#13133212—21no—
249#13133212D411yescharacteristic
250#13133211—21no—
251#13133211—21no—
252#13133210—21no—
253#13133210—21no—
254#13133210D411yescharacteristic
255#13133208C2311yescharacteristic
256#13133207—21no—
257#13133207—21no—
258#13133207D411yescharacteristic
259#13133206—21no—
260#13133205—21no—
261#13133205C2311yescharacteristic
262#13133204—21no—
263#13133204C2311yescharacteristic
264#13133203—21no—
265#13133203—21no—
266#13133203—21no—
267#13133203—21no—
268#13133203—21no—
269#13133203D411yescharacteristic
270#13133202—21no—
271#13133202—21no—
272#13133202—21no—
273#13133202—21no—
274#13133202—21no—
275#13133201—21no—
276#13133201D411yescharacteristic
277#13133200—21no—
278#13133200—21no—
279#13133199—21no—
280#13133199—21no—
281#13133199—21no—
282#13133199—21no—
283#13133198—21no—
284#13133198D411yescharacteristic
285#13133197C2311yescharacteristic
286#13133196C2311yescharacteristic
287#13133195—21no—
288#13133195—21no—
289#13133195—21no—
290#13133194—21no—
291#13133194D411yescharacteristic
292#13133193—21no—
293#13133193—21no—
294#13133192—21no—
295#13133192—21no—
296#13133192C2311yescharacteristic
297#13133192C2311yescharacteristic
298#13133192C2311yescharacteristic
299#13133191—21no—
300#13133191C2311yescharacteristic
301#13133191C2311yescharacteristic
302#13133191C2311yescharacteristic
303#13133190—21no—
304#13133190—21no—
305#13133190—21no—
306#13133190—21no—
307#13133190—21no—
308#13133190—21no—
309#13133190—21no—
310#13133190—21no—
311#13133190—21no—
312#13133190—21no—
313#13133189—21no—
314#13133189—21no—
315#13133189—21no—
316#13133189—21no—
317#13133189—21no—
318#13133189D411yescharacteristic
319#13133188—21no—
320#13133188—21no—
321#13133187—21no—
322#13133185—21no—
323#13133185—21no—
324#13133185—21no—
325C4×Dic106—21no—
326C4×Dic106C2311yescharacteristic
327C4×Dic106C2311yescharacteristic
328#13133182—21no—
329#13133182C2311yescharacteristic
330#13133182C2311yescharacteristic
331#13133182C2311yescharacteristic
332#13133182C2311yescharacteristic
333#13133182C2311yescharacteristic
334C4×D212—21no—
335C4×D212—21no—
336C4×D212—21no—
337C4×D212C2311yescharacteristic
338D4×Dic53C2311yescharacteristic
339D4×Dic53C2311yescharacteristic
340#13133179—21no—
341#13133179C2311yescharacteristic
342#13133179C2311yescharacteristic
343#13133179C2311yescharacteristic
344#13133179C2311yescharacteristic
345#13133179C2311yescharacteristic
346#13133179C2311yescharacteristic
347#13133179C2311yescharacteristic
348#13133179C2311yescharacteristic
349#13133179C2311yescharacteristic
350C4×C22⋊D53—21no—
351C4×C22⋊D53—21no—
352C4×C22⋊D53—21no—
353C4×C22⋊D53—21no—
354C4×C22⋊D53—21no—
355C4×C22⋊D53C2311yescharacteristic
356C4×C22⋊D53C2311yescharacteristic
357#13133177—21no—
358#13133177—21no—
359#13133177—21no—
360#13133177—21no—
361#13133177—21no—
362#13133177—21no—
363#13133177—21no—
364#13133177—21no—
365#13133177—21no—
366#13133177—21no—
367#13133176C2311yescharacteristic
368#13133175—21no—
369#13133175C2311yescharacteristic
370#13133174—21no—
371#13133174—21no—
372#13133174—21no—
373#13133174C2311yescharacteristic
374#13133173—21no—
375C2×#11719919—21no—
376C4⋊C4×D53—21no—
377C4⋊C4×D53C2311yescharacteristic
378C2×#11719921—21no—
379C22⋊C4×D53—21no—
380C22⋊C4×D53—21no—
381C22⋊C4×D53—21no—
382C22⋊C4×D53—21no—
383C22⋊C4×D53—21no—
384C2×C4×Dic53C2311yescharacteristic
385C42×D53—21no—
386C42×D53—21no—
387#13133151C2311yescharacteristic
388#13133150C2311yescharacteristic
389#13133150C2311yescharacteristic
390#13133150C2311yescharacteristic
391#13133150C2311yescharacteristic
392#13133148C2311yescharacteristic
393#13133148C2311yescharacteristic
394C4⋊#88322C2311yescharacteristic
395#13133146C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133142C2311yescharacteristic
400#13133142C2311yescharacteristic
401#13133140C2311yescharacteristic
402#13133140C2311yescharacteristic
403#13133140C2311yescharacteristic
404#13133140C2311yescharacteristic
405#13133140C2311yescharacteristic
406#13133140C2311yescharacteristic
407#13133139C2311yescharacteristic
408#13133139C2311yescharacteristic
409#13133139C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133138C2311yescharacteristic
412#13133138C2311yescharacteristic
413#13133137C2311yescharacteristic
414#13133137C2311yescharacteristic
415#13133137C2311yescharacteristic
416#13133137C2311yescharacteristic
417#13133137C2311yescharacteristic
418#13133137C2311yescharacteristic
419#13133137C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425C22⋊#88322C2311yescharacteristic
426C22⋊#88322C2311yescharacteristic
427#13133129C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133127C2311yescharacteristic
430#13133127C2311yescharacteristic
431#13133127C2311yescharacteristic
432C4×#88322C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C8×Dic53C2311yescharacteristic
436C8×Dic53C2311yescharacteristic
437C8×Dic53C2311yescharacteristic
438C2×D8×C53C2311yescharacteristic
439C2×M16×C53C2311yescharacteristic
440C22×C8×C53C2311yescharacteristic
441C4⋊Q8×C53C2311yescharacteristic
442#126×C53—21no—
443#125×C53C2311yescharacteristic
444#124×C53—21no—
445#124×C53—21no—
446#123×C53—21no—
447#121×C53—21no—
448#121×C53—21no—
449#121×C53C2311yescharacteristic
450#121×C53C2311yescharacteristic
451#121×C53C2311yescharacteristic
452#121×C53C2311yescharacteristic
453C4×D4×C53—21no—
454C4×D4×C53C2311yescharacteristic
455C4×D4×C53C2311yescharacteristic
456C4×D4×C53C2311yescharacteristic
457#117×C53—21no—
458#117×C53C2311yescharacteristic
459#117×C53C2311yescharacteristic
460#117×C53C2311yescharacteristic
461C2×C4⋊C4×C53C2311yescharacteristic
462#107×C53C2311yescharacteristic
463#107×C53C2311yescharacteristic
464#107×C53C2311yescharacteristic
465#107×C53C2311yescharacteristic
466#107×C53C2311yescharacteristic
467#106×C53C2311yescharacteristic
468#106×C53C2311yescharacteristic
469#106×C53C2311yescharacteristic
470#106×C53C2311yescharacteristic
471C4⋊C8×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477#102×C53C2311yescharacteristic
478C22⋊C8×C53C2311yescharacteristic
479C22⋊C8×C53C2311yescharacteristic
480#97×C53C2311yescharacteristic
481C23×D53—21no—
482C23×D53—21no—
483C2×Q8×C53—21no—
484C2×D4×C53—21no—
485C2×D4×C53—21no—
486C2×D4×C53—21no—
487C2×D4×C53—21no—
488C2×D4×C53C2×D411yescharacteristic
489C2×D4×C53C2411yescharacteristic
490C2×D4×C53C2411yescharacteristic
491C22×C4×C53—21no—
492C22×C4×C53—21no—
493C22×C4×C53—21no—
494C22×C4×C53C2411yescharacteristic
495C22×C4×C53C2411yescharacteristic
496C2×C22⋊D53—21no—
497C2×C22⋊D53—21no—
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—21no—
508C2×C22⋊D53—21no—
509C2×C22⋊D53—21no—
510C2×C22⋊D53C2×D411yescharacteristic
511C2×C22⋊D53C2×D411yescharacteristic
512C22×Dic53—21no—
513C22×Dic53—21no—
514C22×Dic53—21no—
515C22×Dic53C2×D411yescharacteristic
516C22×Dic53C2×D411yescharacteristic
517Q8×D53—82no—
518#11719947—22no—
519#11719947—41no—
520#11719947—82no—
521#11719947—82no—
522D4×D53—22no—
523D4×D53—41no—
524D4×D53—82no—
525#11719945—22no—
526#11719945—22no—
527#11719945—22no—
528#11719945—41no—
529#11719945—41no—
530#11719945—41no—
531#11719945—82no—
532#11719945—82no—
533C2×D212—22no—
534C2×D212—21no—
535C2×D212—21no—
536C2×D212—21no—
537C2×D212—21no—
538C2×D212—21no—
539C2×D212—21no—
540C2×D212—41no—
541C2×D212C2411yescharacteristic
542C2×D212C2411yescharacteristic
543C2×D212C2411yescharacteristic
544C2×D212C2411yescharacteristic
545C2×C4×D53—21no—
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×D53—21no—
556C2×C4×D53—21no—
557C2×C4×D53—21no—
558C2×C4×D53—21no—
559C2×C4×D53C2411yescharacteristic
560C2×Dic106—21no—
561C2×Dic106—21no—
562C2×Dic106—21no—
563C2×Dic106C2×D411yescharacteristic
564C2×Dic106C2411yescharacteristic
565C2×Dic106C2411yescharacteristic
566D8×C53—22no—
567M16×C53—22no—
568C2×C8×C53—22no—
569C2×C8×C53C2411yescharacteristic
570C2×C8×C53C2411yescharacteristic
571C2×C8×C53C2411yescharacteristic
572C2×C8×C53C2411yescharacteristic
573C4⋊C4×C53—21no—
574C4⋊C4×C53—21no—
575C4⋊C4×C53—21no—
576C4⋊C4×C53—21no—
577C4⋊C4×C53C2×D411yescharacteristic
578C4⋊C4×C53C2411yescharacteristic
579C4⋊C4×C53C2411yescharacteristic
580C4⋊C4×C53C2411yescharacteristic
581C4⋊C4×C53C2411yescharacteristic
582C4⋊C4×C53C2411yescharacteristic
583C4⋊C4×C53C2411yescharacteristic
584C22⋊C4×C53—21no—
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×C53—21no—
593C22⋊C4×C53C2×D411yescharacteristic
594C22⋊C4×C53C2×D411yescharacteristic
595C42×C53—21no—
596C42×C53—21no—
597C42×C53—21no—
598C42×C53C2411yescharacteristic
599C22⋊Dic53—21no—
600C22⋊Dic53—21no—
601C22⋊Dic53—21no—
602C22⋊Dic53—21no—
603C22⋊Dic53—21no—
604C22⋊Dic53C2×D411yescharacteristic
605C22⋊Dic53C2×D411yescharacteristic
606C22⋊Dic53C2×D411yescharacteristic
607C22⋊Dic53C2×D411yescharacteristic
608#11719923—22no—
609#11719923—41no—
610#11719922—22no—
611#11719922—41no—
612#11719922—41no—
613#11719922—41no—
614#11719921—21no—
615#11719921—21no—
616#11719921—21no—
617#11719921—21no—
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#11719921C2×D411yescharacteristic
635#11719921C2×D411yescharacteristic
636#11719921C2×D411yescharacteristic
637#11719921C2×D411yescharacteristic
638C4⋊Dic53—21no—
639C4⋊Dic53—21no—
640C4⋊Dic53C2×D411yescharacteristic
641C4⋊Dic53C2×D411yescharacteristic
642C4⋊Dic53C2×D411yescharacteristic
643C4⋊Dic53C2411yescharacteristic
644C4⋊Dic53C2411yescharacteristic
645#11719919—21no—
646#11719919—21no—
647#11719919—21no—
648#11719919—21no—
649#11719919—21no—
650#11719919—21no—
651#11719919—21no—
652#11719919—21no—
653#11719919—21no—
654#11719919—21no—
655#11719919—21no—
656#11719919—21no—
657#11719919C2×D411yescharacteristic
658#11719919C2×D411yescharacteristic
659#11719919C2×D411yescharacteristic
660#11719919C2×D411yescharacteristic
661#11719919C2×D411yescharacteristic
662#11719919C2×D411yescharacteristic
663C4×Dic53—21no—
664C4×Dic53—21no—
665C4×Dic53—21no—
666C4×Dic53—21no—
667C4×Dic53—21no—
668C4×Dic53—21no—
669C4×Dic53—21no—
670C4×Dic53C2×D411yescharacteristic
671C4×Dic53C2×D411yescharacteristic
672C4×Dic53C2411yescharacteristic
673C4×Dic53C2411yescharacteristic
674C4×Dic53C2411yescharacteristic
675C2×#88322—41no—
676C2×#88322—41no—
677C2×#88322C2411yescharacteristic
678C2×#88322C2411yescharacteristic
679C2×#88322C2411yescharacteristic
680C2×#88322C2411yescharacteristic
681Dic212—22no—
682D424—22no—
683D424—22no—
684D424—22no—
685D424—41no—
686#11719913—22no—
687#11719913—22no—
688#11719913—41no—
689#11719913#4114yescomplemented
690#11719912—22no—
691C8×D53—41no—
692C23×C53—21no—
693C23×C53—21no—
694C23×C53C22×D411yescharacteristic
695C23×C53C22×D411yescharacteristic
696C22×D53—21no—
697C22×D53—21no—
698C22×D53—21no—
699C22×D53—21no—
700C22×D53—42no—
701C22×D53—42no—
702C22×D53—81no—
703C22×D53—81no—
704C22×D53—81no—
705C22×D53—81no—
706C22×D53C22×D411yescharacteristic
707Q8×C53—81no—
708D4×C53—21no—
709D4×C53—21no—
710D4×C53—21no—
711D4×C53—21no—
712D4×C53—41no—
713D4×C53—81no—
714D4×C53—81no—
715D4×C53—81no—
716D4×C53—81no—
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—21no—
725C2×C4×C53—21no—
726C2×C4×C53—21no—
727C2×C4×C53—81no—
728C2×C4×C53—81no—
729C2×C4×C53—81no—
730C2×C4×C53C22×D411yescharacteristic
731C2×C4×C53C22×D411yescharacteristic
732C2×C4×C53C22×D411yescharacteristic
733C2×C4×C53C22×D411yescharacteristic
734C2×C4×C53C2511yescharacteristic
735C22⋊D53—22no—
736C22⋊D53—41no—
737C22⋊D53—42no—
738C22⋊D53—42no—
739C22⋊D53—42no—
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—
751C2×Dic53—21no—
752C2×Dic53—22no—
753C2×Dic53—21no—
754C2×Dic53—21no—
755C2×Dic53—21no—
756C2×Dic53—41no—
757C2×Dic53—42no—
758C2×Dic53—81no—
759C2×Dic53—81no—
760C2×Dic53C22×D411yescharacteristic
761C2×Dic53C22×D411yescharacteristic
762C2×Dic53C22×D411yescharacteristic
763C2×Dic53C22×D411yescharacteristic
764C2×Dic53C22×D411yescharacteristic
765C2×Dic53C22×D411yescharacteristic
766C2×Dic53C22×D411yescharacteristic
767D212—21no—
768D212—21no—
769D212—21no—
770D212—21no—
771D212—21no—
772D212—21no—
773D212—21no—
774D212—42no—
775D212—81no—
776D212—81no—
777D212—81no—
778D212—81no—
779D212—81no—
780D212C2×#4112yes—
781C4×D53—21no—
782C4×D53—21no—
783C4×D53—42no—
784C4×D53—42no—
785C4×D53—42no—
786C4×D53—42no—
787C4×D53—42no—
788C4×D53—81no—
789C4×D53—81no—
790C4×D53—81no—
791C4×D53—81no—
792C4×D53—81no—
793C4×D53—81no—
794C4×D53—81no—
795C4×D53—81no—
796C4×D53—81no—
797Dic106—21no—
798Dic106—22no—
799Dic106—21no—
800Dic106—21no—
801Dic106—42no—
802Dic106—42no—
803Dic106—81no—
804Dic106C2×#4112yes—
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—21no—
816C22×C53—21no—
817C22×C53—21no—
818C22×C53—21no—
819C22×C53—21no—
820C22×C53—41no—
821C22×C53—41no—
822C22×C53—41no—
823C22×C53—41no—
824C22×C53—41no—
825C22×C53—41no—
826C22×C53C23×D411yescharacteristic
827C2×D53—21no—
828C2×D53—21no—
829C2×D53—22no—
830C2×D53—21no—
831C2×D53—41no—
832C2×D53—41no—
833C2×D53—41no—
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—162no—
843C2×D53—162no—
844C4×C53—21no—
845C4×C53—21no—
846C4×C53—21no—
847C4×C53—21no—
848C4×C53—41no—
849C4×C53—41no—
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—22no—
860Dic53—21no—
861Dic53—21no—
862Dic53—21no—
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#3347D5311yescharacteristic, complemented
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#2946—531no—
897C4×#135—531no—
898C2×C53—41no—
899C2×C53—41no—
900C2×C53—81no—
901C2×C53—81no—
902C2×C53D4×#4111yescharacteristic
903C2×C53C2×#57611yescharacteristic
904C2×C53#358411yescharacteristic
905D53—41no—
906D53—42no—
907D53—81no—
908D53—81no—
909D53—81no—
910C2×AGL(1,ℤ/8)—531no—
911C2×AGL(1,ℤ/8)—531no—
912C2×#135—531no—
913#559—531no—
914#557—531no—
915#556—531no—
916#555—531no—
917#555C2×D5311yescharacteristic
918#553—531no—
919#553—1061no—
920#553—1061no—
921#553C2×D5311yescharacteristic, complemented
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#520—531no—
954#518—531no—
955#518—531no—
956C4×#41—531no—
957C4×#41—531no—
958#501—531no—
959#501C2×D5311yescharacteristic, complemented
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#482C2×D5311yescharacteristic, complemented
978#482C2×D5311yescharacteristic, complemented
979#482C2×D5311yescharacteristic, complemented
980#480—531no—
981#480C2×D5311yescharacteristic
982#478—531no—
983#478—531no—
984#478—531no—
985#478C2×D5311yescharacteristic, complemented
986#477—531no—
987#477—531no—
988#475—531no—
989#475—531no—
990#474—531no—
991#474—531no—
992#474—531no—
993#474C2×D5311yescharacteristic, complemented
994#469—531no—
995#469C2×D5311yescharacteristic
996#468—531no—
997#468—531no—
998#466—531no—
999#466—531no—
1000#466—531no—
1001#466—531no—
1002#466—531no—
1003#466C2×D5311yescharacteristic, complemented
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#442—531no—
1037#442C2×D5311yescharacteristic, complemented
1038#440—531no—
1039#440—531no—
1040#440—531no—
1041#440—531no—
1042#440—531no—
1043#440—531no—
1044C4×Q16—531no—
1045C4×Q16—531no—
1046C4×SD16—531no—
1047C4×SD16—531no—
1048C4×SD16—531no—
1049C4×SD16—531no—
1050C4×SD16—531no—
1051C4×SD16—531no—
1052C4×D8—531no—
1053C4×D8—531no—
1054C4×D8—531no—
1055C4×D8—531no—
1056C4×D8—531no—
1057C4×D8—531no—
1058C4×D8—531no—
1059C4×D8—531no—
1060#436—531no—
1061#435—531no—
1062#435C2×D5311yescharacteristic, complemented
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#427C2×D5311yescharacteristic, complemented
1072#416—531no—
1073#416—531no—
1074#416—531no—
1075#416—531no—
1076C2×#102—531no—
1077C2×#102—531no—
1078#405—531no—
1079#405—531no—
1080C2×C4×C8—531no—
1081C53#6149411yescharacteristic, complemented, Sylow
1082C2×#41—531no—
1083C2×#41—531no—
1084C2×#41—531no—
1085C2×#41—531no—
1086C2×#41—1061no—
1087C2×#41—1061no—
1088C2×#41—1061no—
1089C2×#41—1061no—
1090C22×Q8—1061no—
1091C22×D4—531no—
1092C22×D4—531no—
1093C22×D4—1061no—
1094AGL(1,ℤ/8)—1064no—
1095AGL(1,ℤ/8)—1064no—
1096#135—1064no—
1097C2×Q16—531no—
1098C2×SD16—531no—
1099C2×SD16—531no—
1100C2×SD16—531no—
1101C2×SD16—531no—
1102C2×SD16—531no—
1103C2×SD16—531no—
1104C2×D8—531no—
1105C2×D8—531no—
1106C2×D8—531no—
1107C2×D8—531no—
1108C2×D8—531no—
1109C2×D8—531no—
1110C2×D8—531no—
1111C2×D8—531no—
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—1061no—
1123C4⋊Q8C22×D5311yescharacteristic
1124#127—531no—
1125#127—531no—
1126#127—531no—
1127#127—531no—
1128#127—1061no—
1129#127—1061no—
1130#127—1061no—
1131#126—21no—
1132#126—531no—
1133#126—531no—
1134#126—1061no—
1135#126—1061no—
1136#126—1061no—
1137#126—1061no—
1138#126—1061no—
1139#125—531no—
1140#125—531no—
1141#125—1061no—
1142#125—1061no—
1143#125C22×D5311yescharacteristic
1144#124—21no—
1145#124—21no—
1146#124—531no—
1147#124—531no—
1148#124—531no—
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—21no—
1158#123—531no—
1159#123—531no—
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—21no—
1183#121—21no—
1184#121—531no—
1185#121—531no—
1186#121—531no—
1187#121—531no—
1188#121—531no—
1189#121—531no—
1190#121—531no—
1191#121—1061no—
1192#121—1061no—
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#121C22×D5311yescharacteristic
1212#121C22×D5311yescharacteristic
1213#121C22×D5311yescharacteristic
1214#121C22×D5311yescharacteristic
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—531no—
1225C4×Q8—531no—
1226C4×Q8—1061no—
1227C4×Q8—1061no—
1228C4×D4—21no—
1229C4×D4—531no—
1230C4×D4—531no—
1231C4×D4—531no—
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×D4—1061no—
1260C4×D4—1061no—
1261C4×D4—1061no—
1262C4×D4C22×D5311yescharacteristic
1263C4×D4C22×D5311yescharacteristic
1264C4×D4C22×D5311yescharacteristic
1265#117—21no—
1266#117—531no—
1267#117—531no—
1268#117—531no—
1269#117—1061no—
1270#117—1061no—
1271#117—1061no—
1272#117—1061no—
1273#117—1061no—
1274#117C22×D5311yescharacteristic
1275#117C22×D5311yescharacteristic
1276#117C22×D5311yescharacteristic
1277C2×C4⋊C4—531no—
1278C2×C4⋊C4—1061no—
1279C2×C4⋊C4—1061no—
1280C2×C4⋊C4C22×D5311yescharacteristic
1281C2×C22⋊C4—1061no—
1282C2×C22⋊C4—1061no—
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#107C22×D5311yescharacteristic
1296#107C22×D5311yescharacteristic
1297#107C22×D5311yescharacteristic
1298#107C22×D5311yescharacteristic
1299#107C22×D5311yescharacteristic
1300#106—531no—
1301#106—531no—
1302#106C22×D5311yescharacteristic
1303#106C22×D5311yescharacteristic
1304#106C22×D5311yescharacteristic
1305#106C22×D5311yescharacteristic
1306C4⋊C8—531no—
1307C4⋊C8—531no—
1308C4⋊C8—531no—
1309C4⋊C8—531no—
1310C4⋊C8—531no—
1311C4⋊C8C22×D5311yescharacteristic
1312#103—531no—
1313#103—531no—
1314#103—531no—
1315#103—531no—
1316#103—531no—
1317#103—531no—
1318#103—531no—
1319#103—531no—
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⋊C8C22×D5311yescharacteristic
1349C22⋊C8C22×D5311yescharacteristic
1350#97—531no—
1351#97—531no—
1352#97—531no—
1353#97C22×D5311yescharacteristic
1354C4×C8—531no—
1355C4×C8—531no—
1356C4×C8—531no—
1357C4×C8—531no—
1358C4×C8—531no—
1359C4×C8—531no—
1360C24—1061no—
1361C24—1061no—
1362#41—1062no—
1363#41—1062no—
1364#41—1062no—
1365#41—1062no—
1366#41—4242no—
1367#41—4242no—
1368#41—4242no—
1369#41—4242no—
1370#41—2121no—
1371#41—2121no—
1372#41—2121no—
1373#41—2121no—
1374C2×Q8—21no—
1375C2×Q8—531no—
1376C2×Q8—531no—
1377C2×Q8—531no—
1378C2×Q8—1061no—
1379C2×Q8—1061no—
1380C2×Q8—1061no—
1381C2×Q8—4242no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—531no—
1387C2×D4—531no—
1388C2×D4—531no—
1389C2×D4—531no—
1390C2×D4—531no—
1391C2×D4—531no—
1392C2×D4—1062no—
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—1062no—
1404C2×D4—1061no—
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—4242no—
1415C2×D4—2121no—
1416C2×D4—2121no—
1417C2×D4D4×D5311yescharacteristic
1418C2×D4C23×D5311yescharacteristic
1419C2×D4C23×D5311yescharacteristic
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—531no—
1424C22×C4—531no—
1425C22×C4—531no—
1426C22×C4—1061no—
1427C22×C4—1061no—
1428C22×C4—1061no—
1429C22×C4—1061no—
1430C22×C4—1061no—
1431C22×C4—1061no—
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×C4C23×D5311yescharacteristic
1444C22×C4C23×D5311yescharacteristic
1445Q16—1062no—
1446SD16—534no—
1447SD16—1062no—
1448SD16—1062no—
1449SD16—1062no—
1450SD16—2121no—
1451SD16—2121no—
1452D8—22no—
1453D8—1062no—
1454D8—1062no—
1455D8—1062no—
1456D8—1062no—
1457D8—2121no—
1458D8—2121no—
1459D8—2121no—
1460D8—2121no—
1461M16—22no—
1462M16—1062no—
1463C2×C8—22no—
1464C2×C8—531no—
1465C2×C8—531no—
1466C2×C8—531no—
1467C2×C8—531no—
1468C2×C8—2121no—
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—21no—
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⋊C4D4×D5311yescharacteristic
1505C4⋊C4C23×D5311yescharacteristic
1506C4⋊C4C23×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—21no—
1519C22⋊C4—21no—
1520C22⋊C4—531no—
1521C22⋊C4—531no—
1522C22⋊C4—531no—
1523C22⋊C4—531no—
1524C22⋊C4—531no—
1525C22⋊C4—531no—
1526C22⋊C4—531no—
1527C22⋊C4—531no—
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—531no—
1563C42—1061no—
1564C42—1061no—
1565C42—1061no—
1566C42—1061no—
1567C42—1061no—
1568C42—1061no—
1569C42—1061no—
1570C42C23×D5311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—531no—
1574C23—1061no—
1575C23—1061no—
1576C23—1061no—
1577C23—1061no—
1578C23—4241no—
1579C23—4241no—
1580C23—4241no—
1581C23—4241no—
1582C23—2122no—
1583C23—2122no—
1584C23C2×D4×D5311yescharacteristic
1585C23C2×D4×D5311yescharacteristic
1586Q8—81no—
1587Q8—532no—
1588Q8—1062no—
1589Q8—1061no—
1590Q8—1061no—
1591Q8—1061no—
1592Q8—4241no—
1593Q8—2122no—
1594Q8—2122no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—41no—
1600D4—81no—
1601D4—81no—
1602D4—81no—
1603D4—81no—
1604D4—532no—
1605D4—1062no—
1606D4—1061no—
1607D4—1061no—
1608D4—1061no—
1609D4—1061no—
1610D4—1061no—
1611D4—1061no—
1612D4—1061no—
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—2122no—
1626D4—2122no—
1627D4—2122no—
1628D4—2121no—
1629D4—2122no—
1630D4—2122no—
1631D4—2122no—
1632D4—2122no—
1633D4—2122no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—531no—
1648C2×C4—531no—
1649C2×C4—531no—
1650C2×C4—531no—
1651C2×C4—531no—
1652C2×C4—531no—
1653C2×C4—531no—
1654C2×C4—1062no—
1655C2×C4—1061no—
1656C2×C4—1061no—
1657C2×C4—1061no—
1658C2×C4—1061no—
1659C2×C4—1061no—
1660C2×C4—1061no—
1661C2×C4—4241no—
1662C2×C4—4241no—
1663C2×C4—4241no—
1664C2×C4—4241no—
1665C2×C4—4241no—
1666C2×C4—4241no—
1667C2×C4—4241no—
1668C2×C4—4241no—
1669C2×C4—4241no—
1670C2×C4—4241no—
1671C2×C4—4241no—
1672C2×C4—2122no—
1673C2×C4—2122no—
1674C2×C4—2122no—
1675C2×C4—2122no—
1676C2×C4—2122no—
1677C2×C4—2121no—
1678C2×C4—2122no—
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—
1691C8#41×D5312yes—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—8482no—
1705C22—8482no—
1706C22—1061no—
1707C22—1061no—
1708C22—1062no—
1709C22—1061no—
1710C22—2121no—
1711C22—2121no—
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—21no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—532no—
1733C4—1061no—
1734C4—1061no—
1735C4—1061no—
1736C4—1062no—
1737C4—1061no—
1738C4—1061no—
1739C4—1061no—
1740C4—2121no—
1741C4—2121no—
1742C4—2121no—
1743C4C2×#41×D5311yescharacteristic
1744C4#1681146011yescharacteristic
1745C2—41no—
1746C2—41no—
1747C2—81no—
1748C2—81no—
1749C2—4241no—
1750C2—4241no—
1751C2—4241no—
1752C2—2121no—
1753C2—2122no—
1754C2#2028820211yescharacteristic
1755C2#576×D5311yescharacteristic
1756C2#2028948811yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3347C2
socleC22×C53C23×D4
hypercenter#3347D53
hypocenterC53#61494
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #20288714C2semidirect
2. #20288672C2semidirect
3. #20287758C2semidirect
4. #20287633C2semidirect
5. #20287414C2semidirect
6. #20287349C2semidirect
7. #20287295C2semidirect
8. #20287211C2semidirect
9. #20286663C2semidirect
10. #20286659C2semidirect
11. #20286652C2semidirect
12. #20286568C2semidirect
13. #20286559C2semidirect
14. #20286526C2semidirect
15. #20286332C2semidirect
16. #20286260C2semidirect
17. #20286252C2semidirect
18. #20285403C2semidirect
19. #20285399C2semidirect
20. #20285289C2semidirect
21. #20284982C2semidirect
22. #20284972C2semidirect
23. #20284960C2semidirect
24. #20284954C2semidirect
25. #20284861C2semidirect
26. #20284861C2semidirect
27. #20283685C2semidirect
28. #20283545C2semidirect
29. #20283544C2semidirect
30. #20283486C2semidirect
31. C53×#3347C2semidirect
36. #16811350C22semidirect
41. #16811317C22semidirect
44. #16811294C22semidirect
45. #16811294C22semidirect
48. #16811291C22semidirect
59. #16811229C22semidirect
60. #16811226C22semidirect
67. #16811168C22semidirect
72. #16811104C22semidirect
73. #16811102C22semidirect
77. #16811091C22semidirect
78. #16811030C22semidirect
79. #16811027C22semidirect
80. #16811012C22semidirect
81. #16811011C22semidirect
83. #16810980C22semidirect
84. #16810976C22semidirect
85. #16810971C22semidirect
87. #16810968C22semidirect
88. #16810968C22semidirect
89. #16810960C22semidirect
90. #16810958C22semidirect
91. #16810950C22semidirect
92. #16810949C22semidirect
93. #16810947C22semidirect
94. #16810947C22semidirect
95. #16810947C22semidirect
97. #16810926C22semidirect
100. #16810917C22semidirect
101. #16810915C22semidirect
102. #16810907C22semidirect
103. #16810907C22semidirect
105. #16810902C22semidirect
106. #16810902C22semidirect
108. #16810870C22semidirect
109. #16810869C22semidirect
111. #16810859C22semidirect
113. #16810857C22semidirect
114. #16810857C22semidirect
115. #16810853C22semidirect
116. #16810850C22semidirect
117. #16810846C22semidirect
118. #16810844C22semidirect
119. #16810838C22semidirect
120. #16810837C22semidirect
122. #16810822C22semidirect
124. #16810818C22semidirect
128. #16810817C22semidirect
129. #16810787C22semidirect
130. #16810786C22semidirect
132. #16810770C22semidirect
136. #16810766C22semidirect
141. #16810751C22semidirect
142. #16810747C22semidirect
144. #16810734C22semidirect
145. #16810734C22semidirect
147. #16810732C22semidirect
150. #16810722C22semidirect
151. #16810722C22semidirect
152. #16810720C22semidirect
153. #16810720C22semidirect
154. #16810717C22semidirect
155. #16810717C22semidirect
158. #16810710C22semidirect
159. #16810710C22semidirect
160. #16810710C22semidirect
161. C4×#11719923C22semidirect
162. D8×Dic53C22semidirect
166. #16810705C22semidirect
168. #16810703C22semidirect
169. #16810703C22semidirect
171. #16810694C22semidirect
172. D4×#88322C22semidirect
174. #16810686C22semidirect
175. #16810683C22semidirect
176. #16810681C22semidirect
177. #16810677C22semidirect
178. #16810662C22semidirect
180. #16810617C22semidirect
181. #16810617C22semidirect
182. #16810616C22semidirect
185. #16810581C22semidirect
186. #16810580C22semidirect
187. C2×C8×Dic53C22semidirect
189. C53×#553C22semidirect
190. C53×#501C22semidirect
191. C53×#482C22semidirect
192. C53×#482C22semidirect
193. C53×#482C22semidirect
195. C53×#478C22semidirect
196. C53×#474C22semidirect
198. C53×#466C22semidirect
199. C53×#442C22semidirect
200. C53×#435C22semidirect
201. C53×#428C22semidirect
202. C53×#427C22semidirect
689. #11719913#41semidirect
875. #3347D53semidirect
921. #553C2×D53semidirect
959. #501C2×D53semidirect
977. #482C2×D53semidirect
978. #482C2×D53semidirect
979. #482C2×D53semidirect
985. #478C2×D53semidirect
993. #474C2×D53semidirect
1003. #466C2×D53semidirect
1037. #442C2×D53semidirect
1062. #435C2×D53semidirect
1070. #428C2×D53semidirect
1071. #427C2×D53semidirect
1081. C53#61494semidirect

Maximal subgroups

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

subgroupindex
#202887142
#202886722
#202877582
#202876332
#202874142
#202873492
#202872952
#202872112
#202866632
#202866592
#202866522
#202865682
#202865592
#202865262
#202863322
#202862602
#202862522
#202854032
#202853992
#202852892
#202849822
#202849722
#202849602
#202849542
#202848612
#202836852
#202835452
#202835442
#202834862
C53×#33472
#6149453