Finite Group Databasebeta

← #28267134

Subgroups — #28267134

Order 13568.

1800 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288781C211yesmaximal, characteristic, complemented
2#20288771C211yesmaximal, characteristic, complemented
3#20287793C211yesmaximal, characteristic, complemented
4#20287668C211yesmaximal, characteristic, complemented
5#20287363C211yesmaximal, characteristic, complemented
6#20287359C211yesmaximal, characteristic, complemented
7#20287283C211yesmaximal, characteristic, complemented
8#20287267C211yesmaximal, characteristic, complemented
9#20287253C211yesmaximal, characteristic, complemented
10#20286630C211yesmaximal, characteristic, complemented
11#20286629C211yesmaximal, characteristic, complemented
12#20286572C211yesmaximal, characteristic, complemented
13#20286569C211yesmaximal, characteristic, complemented
14#20286554C211yesmaximal, characteristic, complemented
15#20286553C211yesmaximal, characteristic, complemented
16#20286326C211yesmaximal, characteristic, complemented
17#20286238C211yesmaximal, characteristic, complemented
18#20286235C211yesmaximal, characteristic, complemented
19#20285381C211yesmaximal, characteristic, complemented
20#20285377C211yesmaximal, characteristic, complemented
21#20285283C211yesmaximal, characteristic, complemented
22#20284931C211yesmaximal, characteristic, complemented
23#20284925C211yesmaximal, characteristic, complemented
24#20284895C211yesmaximal, characteristic, complemented
25#20284822C211yesmaximal, characteristic, complemented
26#20284820C211yesmaximal, characteristic, complemented
27#20283688C211yesmaximal, characteristic, complemented
28#20283547C211yesmaximal, characteristic, complemented
29#20283544C211yesmaximal, characteristic, complemented
30C4×#13133238C211yesmaximal, characteristic, complemented
31C53×#3118C211yesmaximal, characteristic, complemented
32C2×#13133243C2211yescharacteristic
33C2×#13133241C2211yescharacteristic
34C2×#13133238C2211yescharacteristic
35#16811347C2211yescharacteristic, complemented
36#16811343C2211yescharacteristic, complemented
37#16811342C2211yescharacteristic, complemented
38#16811341C2211yescharacteristic, complemented
39#16811334C2211yescharacteristic, complemented
40#16811332C2211yescharacteristic, complemented
41#16811325C2211yescharacteristic
42#16811323C2211yescharacteristic
43#16811322—21no—
44#16811318—21no—
45#16811315C2211yescharacteristic
46#16811313—21no—
47#16811312C2211yescharacteristic
48#16811307—21no—
49#16811300—21no—
50#16811299—21no—
51#16811299—21no—
52#16811296—21no—
53#16811277C2211yescharacteristic
54#16811275C2211yescharacteristic
55#16811270C2211yescharacteristic
56#16811267C2211yescharacteristic
57#16811267C2211yescharacteristic, complemented
58#16811266C2211yescharacteristic, complemented
59#16811238C2211yescharacteristic
60#16811235C2211yescharacteristic, complemented
61#16811231C2211yescharacteristic, complemented
62#16811215—21no—
63#16811214—21no—
64#16811211—21no—
65#16811207—21no—
66#16811155C2211yescharacteristic, complemented
67#16811155C2211yescharacteristic, complemented
68#16811153—21no—
69#16811152—21no—
70#16811151C2211yescharacteristic
71C2×#13133210—21no—
72#126×D53—21no—
73#16811103C2211yescharacteristic
74#16811102C2211yescharacteristic
75#16811095C2211yescharacteristic, complemented
76C4×#11719949C2211yescharacteristic, complemented
77C4×#11719947C2211yescharacteristic, complemented
78#16811031C2211yescharacteristic, complemented
79#16811029C2211yescharacteristic, complemented
80#16811024C2211yescharacteristic, complemented
81#16811018C2211yescharacteristic, complemented
82#16811014C2211yescharacteristic, complemented
83#16811006C2211yescharacteristic
84#16810977C2211yescharacteristic, complemented
85#16810976C2211yescharacteristic, complemented
86#16810976C2211yescharacteristic, complemented
87#16810976C2211yescharacteristic, complemented
88#16810975C2211yescharacteristic, complemented
89#16810972C2211yescharacteristic, complemented
90#16810967C2211yescharacteristic, complemented
91#16810966C2211yescharacteristic, complemented
92#16810966C2211yescharacteristic, complemented
93#16810959C2211yescharacteristic, complemented
94#16810957C2211yescharacteristic, complemented
95#16810955C2211yescharacteristic, complemented
96#16810954C2211yescharacteristic, complemented
97#16810946C2211yescharacteristic
98#16810946C2211yescharacteristic, complemented
99#16810945C2211yescharacteristic, complemented
100#16810933C2211yescharacteristic, complemented
101#16810933C2211yescharacteristic, complemented
102#16810932C2211yescharacteristic, complemented
103#16810931C2211yescharacteristic, complemented
104#16810926C2211yescharacteristic, complemented
105#16810925C2211yescharacteristic, complemented
106#16810924C2211yescharacteristic, complemented
107#16810921C2211yescharacteristic, complemented
108#16810911C2211yescharacteristic, complemented
109#16810902C2211yescharacteristic, complemented
110#16810880C2211yescharacteristic, complemented
111#16810879C2211yescharacteristic, complemented
112#16810868C2211yescharacteristic
113#16810867C2211yescharacteristic
114#16810865C2211yescharacteristic, complemented
115#16810865C2211yescharacteristic, complemented
116#16810862C2211yescharacteristic, complemented
117#16810856C2211yescharacteristic
118#16810851C2211yescharacteristic, complemented
119#16810851C2211yescharacteristic, complemented
120#16810850C2211yescharacteristic
121#16810849C2211yescharacteristic
122#16810844C2211yescharacteristic, complemented
123#16810843C2211yescharacteristic, complemented
124#16810837C2211yescharacteristic
125#16810837C2211yescharacteristic
126#16810836C2211yescharacteristic
127#16810836C2211yescharacteristic
128#16810834C2211yescharacteristic, complemented
129#16810832C2211yescharacteristic, complemented
130#16810829C2211yescharacteristic, complemented
131#16810826C2211yescharacteristic, complemented
132#16810788C2211yescharacteristic, complemented
133#16810787C2211yescharacteristic
134#16810787C2211yescharacteristic
135#16810786C2211yescharacteristic
136#16810786C2211yescharacteristic, complemented
137#16810782C2211yescharacteristic
138#16810775C2211yescharacteristic, complemented
139#16810767C2211yescharacteristic
140#16810765C2211yescharacteristic
141#16810755C2211yescharacteristic
142#16810752C2211yescharacteristic, complemented
143#16810747C2211yescharacteristic, complemented
144#16810733C2211yescharacteristic
145#16810733C2211yescharacteristic
146#16810732C2211yescharacteristic
147#16810731C2211yescharacteristic, complemented
148#16810728C2211yescharacteristic, complemented
149#16810725C2211yescharacteristic, complemented
150#16810723C2211yescharacteristic, complemented
151#16810723C2211yescharacteristic, complemented
152#16810723C2211yescharacteristic, complemented
153#16810720C2211yescharacteristic, complemented
154C4×Dic212C2211yescharacteristic, complemented
155C4×#11719925C2211yescharacteristic, complemented
156#16810715C2211yescharacteristic, complemented
157C4×#11719913C2211yescharacteristic, complemented
158SD16×Dic53C2211yescharacteristic, complemented
159#16810710C2211yescharacteristic, complemented
160#16810710C2211yescharacteristic, complemented
161C4×#11719923C2211yescharacteristic, complemented
162C4×#11719923C2211yescharacteristic, complemented
163C4×#11719923C2211yescharacteristic, complemented
164D8×Dic53C2211yescharacteristic
165C4×#11719922C2211yescharacteristic
166C4×#11719922C2211yescharacteristic
167#16810703C2211yescharacteristic
168#16810698C2211yescharacteristic
169#16810697C2211yescharacteristic, complemented
170#16810693C2211yescharacteristic, complemented
171#16810688C2211yescharacteristic, complemented
172#16810686C2211yescharacteristic
173#16810686C2211yescharacteristic, complemented
174#16810682C2211yescharacteristic, complemented
175#16810678C2211yescharacteristic, complemented
176#16810666C2211yescharacteristic, complemented
177#16810662C2211yescharacteristic, complemented
178#16810658C2211yescharacteristic, complemented
179#16810618C2211yescharacteristic, complemented
180#16810617C2211yescharacteristic
181#16810616C2211yescharacteristic
182#16810616C2211yescharacteristic, complemented
183C2×#13133138C2211yescharacteristic, complemented
184#102×D53C2211yescharacteristic, complemented
185#16810580C2211yescharacteristic, complemented
186#16810579C2211yescharacteristic, complemented
187C4×C8×D53C2211yescharacteristic, complemented
188C53×#542C2211yescharacteristic
189C53×#518C2211yescharacteristic, complemented
190C53×#485C2211yescharacteristic, complemented
191C53×#482C2211yescharacteristic
192C53×#476C2211yescharacteristic, complemented
193C53×#474C2211yescharacteristic, complemented
194C53×#463C2211yescharacteristic
195C53×#463C2211yescharacteristic
196C53×#450C2211yescharacteristic, complemented
197C53×#447C2211yescharacteristic
198C53×#442C2211yescharacteristic
199C53×#440C2211yescharacteristic, complemented
200C4×SD16×C53C2211yescharacteristic, complemented
201C4×D8×C53C2211yescharacteristic
202C53×#433C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719945C2311yescharacteristic
205C2×#11719947C2311yescharacteristic
206C2×#11719947C2311yescharacteristic
207C2×D4×D53C2311yescharacteristic
208#13133243—24no—
209#13133241—24no—
210#13133238—24no—
211C2×Dic212C2311yescharacteristic
212C2×Dic212C2311yescharacteristic
213C2×#11719925C2311yescharacteristic
214C2×#11719925C2311yescharacteristic
215C2×#11719913C2311yescharacteristic
216C2×#11719913C2311yescharacteristic
217C2×#11719923C2311yescharacteristic
218C2×#11719923C2311yescharacteristic
219C2×#11719923C2311yescharacteristic
220C2×#11719923C2311yescharacteristic
221C2×#11719922C2311yescharacteristic
222C2×#11719922C2311yescharacteristic
223C2×#11719917C2311yescharacteristic
224C2×#11719912C2311yescharacteristic
225C22×#88322C2311yescharacteristic
226C2×C8×D53C2311yescharacteristic
227C2×C8×D53C2311yescharacteristic
228C2×C8×D53C2311yescharacteristic
229#13133217C2311yescharacteristic
230#13133216C2311yescharacteristic
231#13133215C2311yescharacteristic
232#13133212—21no—
233#13133212—21no—
234#13133212—21no—
235#13133212—21no—
236#13133212D411yescharacteristic
237#13133211—21no—
238#13133211—21no—
239#13133210—21no—
240#13133210—21no—
241#13133210—21no—
242#13133210—21no—
243#13133210—21no—
244#13133210—21no—
245#13133210—21no—
246#13133210—21no—
247#13133210—21no—
248#13133210—21no—
249#13133210—21no—
250#13133210—21no—
251#13133210—21no—
252#13133210D411yescharacteristic
253#13133209—21no—
254#13133209—21no—
255#13133209C2311yescharacteristic
256#13133208—21no—
257#13133208C2311yescharacteristic
258#13133208C2311yescharacteristic
259#13133208C2311yescharacteristic
260#13133207—21no—
261#13133207—21no—
262#13133207—21no—
263#13133207D411yescharacteristic
264#13133206—21no—
265#13133204C2311yescharacteristic
266#13133204C2311yescharacteristic
267#13133204C2311yescharacteristic
268#13133203—21no—
269#13133203—21no—
270#13133203D411yescharacteristic
271#13133202—21no—
272#13133202D411yescharacteristic
273#13133201—21no—
274#13133201—21no—
275#13133201—21no—
276#13133201—21no—
277#13133200—21no—
278#13133200—21no—
279#13133199—21no—
280#13133199—21no—
281#13133199—21no—
282#13133199—21no—
283#13133199—21no—
284#13133199—21no—
285#13133199D411yescharacteristic
286#13133198—21no—
287#13133198—21no—
288#13133197—21no—
289#13133197C2311yescharacteristic
290#13133197C2311yescharacteristic
291#13133197C2311yescharacteristic
292#13133197C2311yescharacteristic
293#13133196—21no—
294#13133196—21no—
295#13133196—21no—
296#13133196C2311yescharacteristic
297#13133196C2311yescharacteristic
298#13133195D411yescharacteristic
299#13133194—21no—
300#13133194—21no—
301#13133194—21no—
302#13133193—21no—
303#13133193—21no—
304#13133193C2311yescharacteristic
305#13133191—21no—
306#13133190—21no—
307#13133190—21no—
308#13133190—21no—
309#13133190D411yescharacteristic
310#13133189—21no—
311#13133189—21no—
312#13133189—21no—
313#13133188—21no—
314#13133188C2311yescharacteristic
315#13133188C2311yescharacteristic
316#13133188C2311yescharacteristic
317#13133187—21no—
318#13133186—21no—
319#13133186—21no—
320#13133185—21no—
321Q8×Dic53—21no—
322Q8×Dic53C2311yescharacteristic
323C4×Dic106—21no—
324C4×Dic106C2311yescharacteristic
325C4×Dic106C2311yescharacteristic
326C4×Dic106C2311yescharacteristic
327C4×Dic106C2311yescharacteristic
328C4×Dic106C2311yescharacteristic
329#13133182C2311yescharacteristic
330#13133182C2311yescharacteristic
331C4×D212—21no—
332C4×D212C2311yescharacteristic
333C4×D212C2311yescharacteristic
334C4×D212C2311yescharacteristic
335D4×Dic53—21no—
336D4×Dic53C2311yescharacteristic
337D4×Dic53C2311yescharacteristic
338D4×Dic53C2311yescharacteristic
339#13133179—21no—
340#13133179C2311yescharacteristic
341#13133179C2311yescharacteristic
342C4×C22⋊D53—21no—
343C4×C22⋊D53—21no—
344C4×C22⋊D53—21no—
345C4×C22⋊D53—21no—
346C4×C22⋊D53—21no—
347C4×C22⋊D53—21no—
348C4×C22⋊D53C2311yescharacteristic
349C4×C22⋊D53C2311yescharacteristic
350#13133177—21no—
351#13133177—21no—
352#13133177—21no—
353#13133177—21no—
354#13133177—21no—
355#13133176—21no—
356#13133176—21no—
357#13133176—21no—
358#13133175—21no—
359#13133175—21no—
360#13133175C2311yescharacteristic
361#13133175C2311yescharacteristic
362#13133175C2311yescharacteristic
363#13133174—21no—
364#13133174C2311yescharacteristic
365#13133173—21no—
366#13133173—21no—
367#13133173—21no—
368#13133173—21no—
369C2×C4⋊Dic53—21no—
370C2×C4⋊Dic53C2311yescharacteristic
371C2×#11719919—21no—
372C2×#11719919—21no—
373C4⋊C4×D53—21no—
374C4⋊C4×D53—21no—
375C4⋊C4×D53—21no—
376C4⋊C4×D53C2311yescharacteristic
377C2×C22⋊Dic53—21no—
378C2×C22⋊Dic53—21no—
379C2×#11719921—21no—
380C22⋊C4×D53—21no—
381C22⋊C4×D53—21no—
382C22⋊C4×D53—21no—
383C2×C4×Dic53—21no—
384C42×D53—21no—
385C42×D53C2311yescharacteristic
386#13133151C2311yescharacteristic
387#13133151C2311yescharacteristic
388#13133150C2311yescharacteristic
389#13133150C2311yescharacteristic
390#13133150C2311yescharacteristic
391#13133150C2311yescharacteristic
392#13133149C2311yescharacteristic
393#13133149C2311yescharacteristic
394#13133148C2311yescharacteristic
395#13133148C2311yescharacteristic
396#13133148C2311yescharacteristic
397#13133148C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133146C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133142C2311yescharacteristic
403#13133142C2311yescharacteristic
404#13133142C2311yescharacteristic
405#13133142C2311yescharacteristic
406#13133142C2311yescharacteristic
407#13133142C2311yescharacteristic
408#13133141C2311yescharacteristic
409#13133141C2311yescharacteristic
410#13133140C2311yescharacteristic
411#13133140C2311yescharacteristic
412#13133140C2311yescharacteristic
413#13133140C2311yescharacteristic
414#13133140C2311yescharacteristic
415#13133140C2311yescharacteristic
416#13133139C2311yescharacteristic
417#13133139C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133138C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133138C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133137C2311yescharacteristic
425#13133137C2311yescharacteristic
426#13133129C2311yescharacteristic
427#13133129C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133129C2311yescharacteristic
430#13133128C2311yescharacteristic
431#13133128C2311yescharacteristic
432#13133127C2311yescharacteristic
433C4×#88322C2311yescharacteristic
434C4×#88322C2311yescharacteristic
435C8×Dic53C2311yescharacteristic
436C8×Dic53C2311yescharacteristic
437C8×Dic53C2311yescharacteristic
438C22×D4×C53C2311yescharacteristic
439C2×SD16×C53C2311yescharacteristic
440C2×SD16×C53C2311yescharacteristic
441C2×D8×C53C2311yescharacteristic
442C2×D8×C53C2311yescharacteristic
443C4⋊Q8×C53C2311yescharacteristic
444#126×C53—21no—
445#124×C53—21no—
446#124×C53C2311yescharacteristic
447#123×C53—21no—
448C22⋊Q8×C53—21no—
449C22⋊Q8×C53C2311yescharacteristic
450#121×C53C2311yescharacteristic
451C4×Q8×C53C2311yescharacteristic
452C4×D4×C53—21no—
453C4×D4×C53—21no—
454C4×D4×C53C2311yescharacteristic
455C4×D4×C53C2311yescharacteristic
456C4×D4×C53C2311yescharacteristic
457C4×D4×C53C2311yescharacteristic
458C4×D4×C53C2311yescharacteristic
459#117×C53C2311yescharacteristic
460#117×C53C2311yescharacteristic
461C2×C22⋊C4×C53—21no—
462C2×C22⋊C4×C53—21no—
463#107×C53C2311yescharacteristic
464#107×C53C2311yescharacteristic
465#106×C53C2311yescharacteristic
466#106×C53C2311yescharacteristic
467C4⋊C8×C53C2311yescharacteristic
468C4⋊C8×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
477C22⋊C8×C53C2311yescharacteristic
478C22⋊C8×C53C2311yescharacteristic
479#97×C53C2311yescharacteristic
480C4×C8×C53C2311yescharacteristic
481C24×C53—21no—
482C23×D53—21no—
483C2×Q8×C53—21no—
484C2×Q8×C53C2411yescharacteristic
485C2×D4×C53—22no—
486C2×D4×C53—21no—
487C2×D4×C53—21no—
488C2×D4×C53—41no—
489C2×D4×C53C2411yescharacteristic
490C2×D4×C53C2411yescharacteristic
491C2×D4×C53C2411yescharacteristic
492C22×C4×C53—21no—
493C22×C4×C53—21no—
494C22×C4×C53—21no—
495C22×C4×C53—21no—
496C22×C4×C53—21no—
497C22×C4×C53C2411yescharacteristic
498C2×C22⋊D53—21no—
499C2×C22⋊D53—21no—
500C2×C22⋊D53—21no—
501C2×C22⋊D53—21no—
502C2×C22⋊D53—21no—
503C2×C22⋊D53—21no—
504C2×C22⋊D53—21no—
505C2×C22⋊D53C2×D411yescharacteristic
506C2×C22⋊D53C2×D411yescharacteristic
507C22×Dic53—21no—
508C22×Dic53—21no—
509C22×Dic53—21no—
510C22×Dic53—21no—
511C22×Dic53—21no—
512C22×Dic53—21no—
513#11719949—22no—
514#11719949—41no—
515#11719947—22no—
516#11719947—22no—
517#11719947—41no—
518#11719947—41no—
519D4×D53—22no—
520D4×D53—41no—
521#11719945—22no—
522#11719945—41no—
523C2×D212—21no—
524C2×D212C2×D411yescharacteristic
525C2×D212C2411yescharacteristic
526C2×C4×D53—21no—
527C2×C4×D53—21no—
528C2×C4×D53—21no—
529C2×C4×D53—21no—
530C2×C4×D53—21no—
531C2×C4×D53—21no—
532C2×C4×D53—21no—
533C2×C4×D53C2×D411yescharacteristic
534C2×C4×D53C2×D411yescharacteristic
535C2×C4×D53C2411yescharacteristic
536C2×C4×D53C2411yescharacteristic
537C2×Dic106—21no—
538C2×Dic106C2×D411yescharacteristic
539C2×Dic106C2411yescharacteristic
540C2×Dic106C2411yescharacteristic
541C2×Dic106C2411yescharacteristic
542SD16×C53—22no—
543SD16×C53—41no—
544D8×C53—22no—
545D8×C53—41no—
546C2×C8×C53C2411yescharacteristic
547C2×C8×C53C2411yescharacteristic
548C2×C8×C53C2411yescharacteristic
549C2×C8×C53C2411yescharacteristic
550C4⋊C4×C53—21no—
551C4⋊C4×C53—21no—
552C4⋊C4×C53—21no—
553C4⋊C4×C53C2×D411yescharacteristic
554C4⋊C4×C53C2×D411yescharacteristic
555C4⋊C4×C53C2411yescharacteristic
556C4⋊C4×C53C2411yescharacteristic
557C4⋊C4×C53C2411yescharacteristic
558C4⋊C4×C53C2411yescharacteristic
559C22⋊C4×C53—21no—
560C22⋊C4×C53—21no—
561C22⋊C4×C53—21no—
562C22⋊C4×C53—21no—
563C22⋊C4×C53—21no—
564C22⋊C4×C53—21no—
565C22⋊C4×C53—21no—
566C22⋊C4×C53—21no—
567C22⋊C4×C53—21no—
568C22⋊C4×C53—21no—
569C22⋊C4×C53C2×D411yescharacteristic
570C22⋊C4×C53C2×D411yescharacteristic
571C42×C53—21no—
572C42×C53—21no—
573C42×C53C2411yescharacteristic
574C42×C53C2411yescharacteristic
575C22⋊Dic53—21no—
576C22⋊Dic53—21no—
577C22⋊Dic53—21no—
578C22⋊Dic53—21no—
579C22⋊Dic53—21no—
580C22⋊Dic53—21no—
581C22⋊Dic53—21no—
582C22⋊Dic53—21no—
583C22⋊Dic53—21no—
584C22⋊Dic53—21no—
585C22⋊Dic53—21no—
586C22⋊Dic53—21no—
587C22⋊Dic53—21no—
588C22⋊Dic53—21no—
589C22⋊Dic53C2×D411yescharacteristic
590C22⋊Dic53C2×D411yescharacteristic
591#11719925—22no—
592#11719925—41no—
593#11719923—22no—
594#11719923—22no—
595#11719923—22no—
596#11719923—41no—
597#11719922—22no—
598#11719922#4114yes—
599#11719921—21no—
600#11719921—21no—
601#11719921—21no—
602#11719921—21no—
603#11719921—21no—
604#11719921—21no—
605#11719921—21no—
606#11719921—21no—
607#11719921—21no—
608#11719921—21no—
609#11719921—21no—
610#11719921—21no—
611#11719921C2×D411yescharacteristic
612#11719921C2×D411yescharacteristic
613#11719921C2×D411yescharacteristic
614#11719921C2×D411yescharacteristic
615#11719921C2×D411yescharacteristic
616#11719921C2×D411yescharacteristic
617C4⋊Dic53—21no—
618C4⋊Dic53—21no—
619C4⋊Dic53—21no—
620C4⋊Dic53—21no—
621C4⋊Dic53—21no—
622C4⋊Dic53—21no—
623C4⋊Dic53—21no—
624C4⋊Dic53—21no—
625C4⋊Dic53—21no—
626C4⋊Dic53—21no—
627C4⋊Dic53—21no—
628C4⋊Dic53C2×D411yescharacteristic
629C4⋊Dic53C2×D411yescharacteristic
630C4⋊Dic53C2411yescharacteristic
631C4⋊Dic53C2411yescharacteristic
632C4⋊Dic53C2411yescharacteristic
633C4⋊Dic53C2411yescharacteristic
634#11719919—21no—
635#11719919—21no—
636#11719919—21no—
637#11719919—21no—
638#11719919—21no—
639#11719919—21no—
640#11719919—21no—
641#11719919—21no—
642#11719919—21no—
643#11719919—21no—
644#11719919—21no—
645#11719919—21no—
646#11719919—21no—
647#11719919—21no—
648#11719919—21no—
649#11719919—21no—
650#11719919—21no—
651#11719919—21no—
652#11719919C2×D411yescharacteristic
653#11719919C2×D411yescharacteristic
654#11719919C2×D411yescharacteristic
655#11719919C2×D411yescharacteristic
656#11719919C2×D411yescharacteristic
657#11719919C2×D411yescharacteristic
658C4×Dic53—21no—
659C4×Dic53—21no—
660C4×Dic53—21no—
661C4×Dic53—21no—
662C4×Dic53—21no—
663C4×Dic53—21no—
664C4×Dic53—21no—
665C4×Dic53—21no—
666C4×Dic53—21no—
667C4×Dic53—21no—
668C4×Dic53C2×D411yescharacteristic
669C4×Dic53C2×D411yescharacteristic
670C4×Dic53C2411yescharacteristic
671C4×Dic53C2411yescharacteristic
672#11719917—22no—
673C2×#88322—41no—
674C2×#88322C2411yescharacteristic
675C2×#88322C2411yescharacteristic
676C2×#88322C2411yescharacteristic
677C2×#88322C2411yescharacteristic
678Dic212—41no—
679Dic212—41no—
680#11719913—22no—
681#11719913—22no—
682#11719912—22no—
683C8×D53—22no—
684C8×D53—41no—
685C8×D53—41no—
686C23×C53—21no—
687C23×C53—21no—
688C23×C53—21no—
689C23×C53—42no—
690C23×C53—81no—
691C23×C53—81no—
692C23×C53C22×D411yescharacteristic
693C22×D53—21no—
694C22×D53—42no—
695C22×D53—81no—
696C22×D53—81no—
697C22×D53C22×D411yescharacteristic
698C22×D53C22×D411yescharacteristic
699Q8×C53—21no—
700Q8×C53—21no—
701Q8×C53—81no—
702D4×C53—21no—
703D4×C53—21no—
704D4×C53—21no—
705D4×C53—21no—
706D4×C53—21no—
707D4×C53—42no—
708D4×C53—81no—
709D4×C53C2×#4112yes—
710C2×C4×C53—21no—
711C2×C4×C53—21no—
712C2×C4×C53—21no—
713C2×C4×C53—21no—
714C2×C4×C53—21no—
715C2×C4×C53—21no—
716C2×C4×C53—21no—
717C2×C4×C53—81no—
718C2×C4×C53—81no—
719C2×C4×C53—81no—
720C2×C4×C53—81no—
721C2×C4×C53—81no—
722C2×C4×C53C22×D411yescharacteristic
723C2×C4×C53C22×D411yescharacteristic
724C2×C4×C53C22×D411yescharacteristic
725C2×C4×C53C22×D411yescharacteristic
726C2×C4×C53C22×D411yescharacteristic
727C2×C4×C53C2511yescharacteristic
728C22⋊D53—41no—
729C22⋊D53—41no—
730C22⋊D53—42no—
731C22⋊D53—42no—
732C22⋊D53—42no—
733C22⋊D53—42no—
734C22⋊D53—81no—
735C22⋊D53—81no—
736C22⋊D53—81no—
737C2×Dic53—21no—
738C2×Dic53—21no—
739C2×Dic53—21no—
740C2×Dic53—21no—
741C2×Dic53—21no—
742C2×Dic53—21no—
743C2×Dic53—21no—
744C2×Dic53—42no—
745C2×Dic53—42no—
746C2×Dic53—81no—
747C2×Dic53—81no—
748C2×Dic53—81no—
749C2×Dic53—81no—
750C2×Dic53C22×D411yescharacteristic
751C2×Dic53C22×D411yescharacteristic
752C2×Dic53C22×D411yescharacteristic
753C2×Dic53C22×D411yescharacteristic
754C2×Dic53C22×D411yescharacteristic
755C2×Dic53C22×D411yescharacteristic
756D212—21no—
757D212—41no—
758D212—42no—
759D212C2×#4112yes—
760C4×D53—21no—
761C4×D53—21no—
762C4×D53—21no—
763C4×D53—21no—
764C4×D53—41no—
765C4×D53—41no—
766C4×D53—42no—
767C4×D53—42no—
768C4×D53—81no—
769C4×D53—81no—
770C4×D53—81no—
771C4×D53—81no—
772C4×D53—81no—
773Dic106—21no—
774Dic106—21no—
775Dic106—21no—
776Dic106—21no—
777Dic106—21no—
778Dic106—21no—
779Dic106—41no—
780Dic106—81no—
781C8×C53—21no—
782C8×C53—21no—
783C8×C53—21no—
784C8×C53—21no—
785#88322—21no—
786#88322—21no—
787#88322—21no—
788#88322C2×#4112yes—
789#61501—531nomaximal, Sylow
790C22×C53—21no—
791C22×C53—21no—
792C22×C53—22no—
793C22×C53—21no—
794C22×C53—41no—
795C22×C53—41no—
796C22×C53—41no—
797C22×C53—41no—
798C22×C53—41no—
799C22×C53—41no—
800C22×C53—41no—
801C22×C53—41no—
802C22×C53—162no—
803C22×C53C23×D411yescharacteristic
804C2×D53—21no—
805C2×D53—21no—
806C2×D53—21no—
807C2×D53—21no—
808C2×D53—21no—
809C2×D53—21no—
810C2×D53—22no—
811C2×D53—41no—
812C2×D53—41no—
813C2×D53—162no—
814C4×C53—21no—
815C4×C53—21no—
816C4×C53—21no—
817C4×C53—21no—
818C4×C53—21no—
819C4×C53—41no—
820C4×C53—41no—
821C4×C53—41no—
822C4×C53—41no—
823C4×C53—41no—
824C4×C53C22×#4111yescharacteristic
825C4×C53#58511yescharacteristic
826Dic53—21no—
827Dic53—21no—
828Dic53—21no—
829Dic53—21no—
830Dic53—21no—
831Dic53—21no—
832Dic53—41no—
833Dic53—41no—
834Dic53—41no—
835Dic53—41no—
836Dic53—41no—
837Dic53—41no—
838Dic53—41no—
839#3521—531no—
840#3521—531no—
841#3402—531no—
842#3389—531no—
843#3360—531no—
844#3360—531no—
845#3352—531no—
846#3350—531no—
847#3350—531no—
848#3302—531no—
849#3302—531no—
850#3297—531no—
851#3297—531no—
852#3296—531no—
853#3296—531no—
854#3273—531no—
855#3267—531no—
856#3267—531no—
857#3178—531no—
858#3178—531no—
859#3168—531no—
860#3120—531no—
861#3120—531no—
862#3118—531no—
863#3118D5311yescharacteristic, complemented
864#3111—531no—
865#3111—531no—
866#2966—531no—
867#2946—531no—
868#2946—531no—
869C4×#135—531no—
870C2×C53—41no—
871C2×C53—42no—
872C2×C53—81no—
873C2×C53—81no—
874C2×C53D4×#4111yescharacteristic
875C2×C53#358411yescharacteristic
876C2×C53#358411yescharacteristic
877D53—41no—
878D53—41no—
879D53—42no—
880C2×AGL(1,ℤ/8)—531no—
881C2×AGL(1,ℤ/8)—531no—
882C2×#135—531no—
883#556—531no—
884#556—531no—
885#556—531no—
886#556—531no—
887#554—531no—
888#554—531no—
889#553—531no—
890#553—531no—
891#553—1061no—
892#553—1061no—
893#552—531no—
894#552—531no—
895#552—1061no—
896#552—1061no—
897#551—1061no—
898#551—1061no—
899#551—1061no—
900#551—1061no—
901#547—531no—
902#547—531no—
903#546—531no—
904#546—531no—
905#546—531no—
906#546—531no—
907#542—531no—
908#542C2×D5311yescharacteristic
909#541—531no—
910#541—531no—
911#539—1061no—
912#539—1061no—
913#538—1061no—
914#538—1061no—
915#529—531no—
916#529—531no—
917#529—531no—
918#529—1061no—
919#529—1061no—
920C2×#126—1061no—
921C2×#126—1061no—
922#520—531no—
923#520—531no—
924#518—531no—
925#518C2×D5311yescharacteristic, complemented
926C4×#41—531no—
927C4×#41—531no—
928#501—531no—
929#501—531no—
930#499—531no—
931#497—531no—
932#497—531no—
933#495—531no—
934#488—531no—
935#488—531no—
936#488—531no—
937#488—531no—
938#487—531no—
939#487—531no—
940#485—531no—
941#485—531no—
942#485—531no—
943#485C2×D5311yescharacteristic, complemented
944#484—531no—
945#484—531no—
946#483—531no—
947#483—531no—
948#482—531no—
949#482—531no—
950#482—531no—
951#482C2×D5311yescharacteristic
952#479—531no—
953#479—531no—
954#479—531no—
955#479—531no—
956#478—531no—
957#478—531no—
958#478—531no—
959#478—531no—
960#476—531no—
961#476C2×D5311yescharacteristic, complemented
962#474—531no—
963#474C2×D5311yescharacteristic, complemented
964#470—531no—
965#470—531no—
966#468—531no—
967#468—531no—
968#467—531no—
969#467—531no—
970#467—531no—
971#466—531no—
972#465—531no—
973#465—531no—
974#465—531no—
975#465—531no—
976#464—531no—
977#464—531no—
978#463—531no—
979#463—531no—
980#463—531no—
981#463—531no—
982#463C2×D5311yescharacteristic
983#463C2×D5311yescharacteristic
984#462—531no—
985#462—531no—
986#461—531no—
987#461—531no—
988#452—531no—
989#452—531no—
990#452—531no—
991#452—531no—
992#452—531no—
993#452—531no—
994#450—531no—
995#450C2×D5311yescharacteristic, complemented
996#449—531no—
997#449—531no—
998#447—531no—
999#447C2×D5311yescharacteristic
1000#446—531no—
1001C8×Q8—531no—
1002#442—531no—
1003#442—531no—
1004#442—531no—
1005#442C2×D5311yescharacteristic
1006#441—531no—
1007#441—531no—
1008#440—531no—
1009#440—531no—
1010#440—531no—
1011#440—531no—
1012#440—531no—
1013#440C2×D5311yescharacteristic, complemented
1014C4×Q16—531no—
1015C4×Q16—531no—
1016C4×Q16—531no—
1017C4×SD16—531no—
1018C4×SD16—531no—
1019C4×SD16—531no—
1020C4×SD16—531no—
1021C4×SD16—531no—
1022C4×SD16—531no—
1023C4×SD16—531no—
1024C4×SD16C2×D5311yescharacteristic, complemented
1025C4×D8—531no—
1026C4×D8—531no—
1027C4×D8—531no—
1028C4×D8—531no—
1029C4×D8C2×D5311yescharacteristic
1030#436—531no—
1031#435—531no—
1032#435—531no—
1033C8×D4—531no—
1034C8×D4—531no—
1035C8×D4—531no—
1036#433—531no—
1037#433C2×D5311yescharacteristic, complemented
1038#432—531no—
1039#428—531no—
1040#428—531no—
1041#427—531no—
1042#416—531no—
1043#416—531no—
1044#416—531no—
1045#416—531no—
1046C2×#102—531no—
1047C2×#102—531no—
1048#405—531no—
1049#405—531no—
1050C2×C4×C8—531no—
1051C53#6150111yescharacteristic, complemented, Sylow
1052C2×#41—531no—
1053C2×#41—531no—
1054C2×#41—531no—
1055C2×#41—531no—
1056C22×D4—531no—
1057C22×D4C22×D5311yescharacteristic
1058AGL(1,ℤ/8)—1064no—
1059AGL(1,ℤ/8)—1064no—
1060#135—1064no—
1061C2×Q16—531no—
1062C2×Q16—531no—
1063C2×Q16—531no—
1064C2×Q16—531no—
1065C2×SD16—531no—
1066C2×SD16—531no—
1067C2×SD16—531no—
1068C2×SD16—531no—
1069C2×SD16—531no—
1070C2×SD16—531no—
1071C2×SD16C22×D5311yescharacteristic
1072C2×SD16C22×D5311yescharacteristic
1073C2×D8—531no—
1074C2×D8—531no—
1075C2×D8C22×D5311yescharacteristic
1076C2×D8C22×D5311yescharacteristic
1077C2×M16—531no—
1078C2×M16—531no—
1079C22×C8—531no—
1080C22×C8—531no—
1081C22×C8—531no—
1082C22×C8—531no—
1083C4⋊Q8—531no—
1084C4⋊Q8—531no—
1085C4⋊Q8—531no—
1086C4⋊Q8C22×D5311yescharacteristic
1087#126—21no—
1088#126—531no—
1089#126—531no—
1090#126—1061no—
1091#126—1061no—
1092#126—1061no—
1093#126—1061no—
1094#126—1061no—
1095#126—1061no—
1096#126—1061no—
1097#126—1061no—
1098#126—1061no—
1099#126—1061no—
1100#126—1061no—
1101#126—1061no—
1102#126—1061no—
1103#126—1061no—
1104#126—1061no—
1105#126—1061no—
1106#126—1061no—
1107#126—1061no—
1108#126—1061no—
1109#125—531no—
1110#125—531no—
1111#125—531no—
1112#125—531no—
1113#125—531no—
1114#125—1061no—
1115#125—1061no—
1116#125—1061no—
1117#125—1061no—
1118#125—1061no—
1119#125—1061no—
1120#124—21no—
1121#124—531no—
1122#124—531no—
1123#124—531no—
1124#124—531no—
1125#124—1061no—
1126#124—1061no—
1127#124—1061no—
1128#124C22×D5311yescharacteristic
1129#123—21no—
1130#123—531no—
1131#123—531no—
1132#123—1061no—
1133#123—1061no—
1134#123—1061no—
1135#123—1061no—
1136#123—1061no—
1137#123—1061no—
1138#123—1061no—
1139#123—1061no—
1140#123—1061no—
1141#123—1061no—
1142#123—1061no—
1143#123—1061no—
1144#123—1061no—
1145#123—1061no—
1146#123—1061no—
1147C22⋊Q8—21no—
1148C22⋊Q8—531no—
1149C22⋊Q8—531no—
1150C22⋊Q8—531no—
1151C22⋊Q8—531no—
1152C22⋊Q8—531no—
1153C22⋊Q8—531no—
1154C22⋊Q8—531no—
1155C22⋊Q8—531no—
1156C22⋊Q8—1061no—
1157C22⋊Q8—1061no—
1158C22⋊Q8—1061no—
1159C22⋊Q8—1061no—
1160C22⋊Q8—1061no—
1161C22⋊Q8—1061no—
1162C22⋊Q8—1061no—
1163C22⋊Q8—1061no—
1164C22⋊Q8—1061no—
1165C22⋊Q8C22×D5311yescharacteristic
1166#121—531no—
1167#121—531no—
1168#121—531no—
1169#121—531no—
1170#121—1061no—
1171#121—1061no—
1172#121—1061no—
1173#121—1061no—
1174#121—1061no—
1175#121—1061no—
1176#121—1061no—
1177#121—1061no—
1178#121C22×D5311yescharacteristic
1179#120—1061no—
1180#120—1061no—
1181#120—1061no—
1182#120—1061no—
1183C4×Q8—531no—
1184C4×Q8—531no—
1185C4×Q8—531no—
1186C4×Q8—531no—
1187C4×Q8—531no—
1188C4×Q8—531no—
1189C4×Q8—531no—
1190C4×Q8—531no—
1191C4×Q8—1061no—
1192C4×Q8—1061no—
1193C4×Q8C22×D5311yescharacteristic
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—531no—
1197C4×D4—531no—
1198C4×D4—531no—
1199C4×D4—531no—
1200C4×D4—531no—
1201C4×D4—531no—
1202C4×D4—531no—
1203C4×D4—531no—
1204C4×D4—531no—
1205C4×D4—531no—
1206C4×D4—1061no—
1207C4×D4—1061no—
1208C4×D4—1061no—
1209C4×D4—1061no—
1210C4×D4—1061no—
1211C4×D4—1061no—
1212C4×D4—1061no—
1213C4×D4—1061no—
1214C4×D4—1061no—
1215C4×D4—1061no—
1216C4×D4—1061no—
1217C4×D4—1061no—
1218C4×D4—1061no—
1219C4×D4—1061no—
1220C4×D4C22×D5311yescharacteristic
1221C4×D4C22×D5311yescharacteristic
1222C4×D4C22×D5311yescharacteristic
1223C4×D4C22×D5311yescharacteristic
1224C4×D4C22×D5311yescharacteristic
1225#117—531no—
1226#117—531no—
1227#117—531no—
1228#117—531no—
1229#117—1061no—
1230#117—1061no—
1231#117—1061no—
1232#117—1061no—
1233#117—1061no—
1234#117—1061no—
1235#117—1061no—
1236#117—1061no—
1237#117—1061no—
1238#117—1061no—
1239#117C22×D5311yescharacteristic
1240#117C22×D5311yescharacteristic
1241C2×C4⋊C4—531no—
1242C2×C4⋊C4—531no—
1243C2×C4⋊C4—1061no—
1244C2×C4⋊C4—1061no—
1245C2×C4⋊C4—1061no—
1246C2×C4⋊C4—1061no—
1247C2×C4⋊C4—1061no—
1248C2×C4⋊C4—1061no—
1249C2×C22⋊C4—21no—
1250C2×C22⋊C4—21no—
1251C2×C22⋊C4—1061no—
1252C2×C22⋊C4—1061no—
1253C2×C22⋊C4—1061no—
1254C2×C22⋊C4—1061no—
1255C2×C22⋊C4—1061no—
1256C2×C22⋊C4—1061no—
1257C2×C42—531no—
1258C2×C42—1061no—
1259C2×C42—1061no—
1260#107—531no—
1261#107—531no—
1262#107—531no—
1263#107—531no—
1264#107—531no—
1265#107—531no—
1266#107C22×D5311yescharacteristic
1267#107C22×D5311yescharacteristic
1268#106—531no—
1269#106—531no—
1270#106—531no—
1271#106—531no—
1272#106—531no—
1273#106—531no—
1274#106C22×D5311yescharacteristic
1275#106C22×D5311yescharacteristic
1276C4⋊C8—531no—
1277C4⋊C8—531no—
1278C4⋊C8—531no—
1279C4⋊C8—531no—
1280C4⋊C8C22×D5311yescharacteristic
1281C4⋊C8C22×D5311yescharacteristic
1282#103—531no—
1283#103—531no—
1284#103—531no—
1285#103—531no—
1286#103—531no—
1287#103—531no—
1288#103—531no—
1289#103—531no—
1290#103—531no—
1291#103—531no—
1292#103—531no—
1293#103—531no—
1294#103—531no—
1295#103—531no—
1296#103C22×D5311yescharacteristic
1297#103C22×D5311yescharacteristic
1298#102—531no—
1299#102—531no—
1300#102—531no—
1301#102—531no—
1302#102—531no—
1303#102—531no—
1304#102—531no—
1305#102—531no—
1306#102—531no—
1307#102—531no—
1308#102C22×D5311yescharacteristic
1309#102C22×D5311yescharacteristic
1310#102C22×D5311yescharacteristic
1311#102C22×D5311yescharacteristic
1312#102C22×D5311yescharacteristic
1313#102C22×D5311yescharacteristic
1314C22⋊C8—531no—
1315C22⋊C8—531no—
1316C22⋊C8—531no—
1317C22⋊C8—531no—
1318C22⋊C8C22×D5311yescharacteristic
1319C22⋊C8C22×D5311yescharacteristic
1320#97—531no—
1321#97—531no—
1322#97—531no—
1323#97C22×D5311yescharacteristic
1324C4×C8—531no—
1325C4×C8—531no—
1326C4×C8—531no—
1327C4×C8—531no—
1328C4×C8—531no—
1329C4×C8C22×D5311yescharacteristic
1330C24—21no—
1331C24—1061no—
1332#41—1062no—
1333#41—1062no—
1334#41—1062no—
1335#41—1062no—
1336#41—2121no—
1337#41—2121no—
1338#41—2121no—
1339#41—2121no—
1340C2×Q8—21no—
1341C2×Q8—531no—
1342C2×Q8—531no—
1343C2×Q8—531no—
1344C2×Q8—531no—
1345C2×Q8—1061no—
1346C2×Q8C23×D5311yescharacteristic
1347C2×D4—22no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—41no—
1351C2×D4—531no—
1352C2×D4—531no—
1353C2×D4—531no—
1354C2×D4—531no—
1355C2×D4—1061no—
1356C2×D4—1061no—
1357C2×D4—1062no—
1358C2×D4—1061no—
1359C2×D4—1061no—
1360C2×D4—1061no—
1361C2×D4—1061no—
1362C2×D4—1061no—
1363C2×D4—1061no—
1364C2×D4—2121no—
1365C2×D4C23×D5311yescharacteristic
1366C2×D4C23×D5311yescharacteristic
1367C2×D4C23×D5311yescharacteristic
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—531no—
1374C22×C4—531no—
1375C22×C4—531no—
1376C22×C4—531no—
1377C22×C4—1061no—
1378C22×C4—1061no—
1379C22×C4—1061no—
1380C22×C4—1061no—
1381C22×C4—1061no—
1382C22×C4—1061no—
1383C22×C4—1061no—
1384C22×C4—1061no—
1385C22×C4—1061no—
1386C22×C4—1061no—
1387C22×C4—1061no—
1388C22×C4—1061no—
1389C22×C4—1061no—
1390C22×C4C23×D5311yescharacteristic
1391Q16—1062no—
1392Q16—2121no—
1393Q16—2121no—
1394Q16—2121no—
1395SD16—22no—
1396SD16—41no—
1397SD16—1062no—
1398SD16—1062no—
1399SD16—1062no—
1400SD16—1062no—
1401SD16—1062no—
1402SD16—2121no—
1403D8—22no—
1404D8—41no—
1405D8—534no—
1406D8—1062no—
1407M16—1062no—
1408M16—1062no—
1409C2×C8—531no—
1410C2×C8—531no—
1411C2×C8—531no—
1412C2×C8—531no—
1413C2×C8—1062no—
1414C2×C8—2121no—
1415C2×C8—2121no—
1416C2×C8—2121no—
1417C2×C8C23×D5311yescharacteristic
1418C2×C8C23×D5311yescharacteristic
1419C2×C8C23×D5311yescharacteristic
1420C2×C8C23×D5311yescharacteristic
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—531no—
1425C4⋊C4—531no—
1426C4⋊C4—531no—
1427C4⋊C4—531no—
1428C4⋊C4—531no—
1429C4⋊C4—531no—
1430C4⋊C4—531no—
1431C4⋊C4—531no—
1432C4⋊C4—531no—
1433C4⋊C4—531no—
1434C4⋊C4—531no—
1435C4⋊C4—531no—
1436C4⋊C4—1061no—
1437C4⋊C4—1061no—
1438C4⋊C4—1061no—
1439C4⋊C4—1061no—
1440C4⋊C4—1061no—
1441C4⋊C4—1061no—
1442C4⋊C4—1061no—
1443C4⋊C4—1061no—
1444C4⋊C4—1061no—
1445C4⋊C4—1061no—
1446C4⋊C4—1061no—
1447C4⋊C4—1061no—
1448C4⋊C4—1061no—
1449C4⋊C4—1061no—
1450C4⋊C4—1061no—
1451C4⋊C4—1061no—
1452C4⋊C4—1061no—
1453C4⋊C4—1061no—
1454C4⋊C4—1061no—
1455C4⋊C4—1061no—
1456C4⋊C4—1061no—
1457C4⋊C4—1061no—
1458C4⋊C4—1061no—
1459C4⋊C4—1061no—
1460C4⋊C4—1061no—
1461C4⋊C4—1061no—
1462C4⋊C4—1061no—
1463C4⋊C4—1061no—
1464C4⋊C4—1061no—
1465C4⋊C4D4×D5311yescharacteristic
1466C4⋊C4D4×D5311yescharacteristic
1467C4⋊C4C23×D5311yescharacteristic
1468C4⋊C4C23×D5311yescharacteristic
1469C4⋊C4C23×D5311yescharacteristic
1470C4⋊C4C23×D5311yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—531no—
1482C22⋊C4—531no—
1483C22⋊C4—531no—
1484C22⋊C4—531no—
1485C22⋊C4—531no—
1486C22⋊C4—531no—
1487C22⋊C4—531no—
1488C22⋊C4—531no—
1489C22⋊C4—1061no—
1490C22⋊C4—1061no—
1491C22⋊C4—1061no—
1492C22⋊C4—1061no—
1493C22⋊C4—1061no—
1494C22⋊C4—1061no—
1495C22⋊C4—1061no—
1496C22⋊C4—1061no—
1497C22⋊C4—1061no—
1498C22⋊C4—1061no—
1499C22⋊C4—1061no—
1500C22⋊C4—1061no—
1501C22⋊C4—1061no—
1502C22⋊C4—1061no—
1503C22⋊C4—1061no—
1504C22⋊C4—1061no—
1505C22⋊C4—1061no—
1506C22⋊C4—1061no—
1507C22⋊C4—1061no—
1508C22⋊C4—1061no—
1509C22⋊C4—1061no—
1510C22⋊C4—1061no—
1511C22⋊C4—1061no—
1512C22⋊C4—1061no—
1513C22⋊C4—1061no—
1514C22⋊C4—1061no—
1515C22⋊C4D4×D5311yescharacteristic
1516C22⋊C4D4×D5311yescharacteristic
1517C42—21no—
1518C42—21no—
1519C42—531no—
1520C42—531no—
1521C42—531no—
1522C42—531no—
1523C42—1061no—
1524C42—1061no—
1525C42—1061no—
1526C42—1061no—
1527C42—1061no—
1528C42—1061no—
1529C42—1061no—
1530C42—1061no—
1531C42—1061no—
1532C42—1061no—
1533C42C23×D5311yescharacteristic
1534C42C23×D5311yescharacteristic
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—42no—
1539C23—81no—
1540C23—81no—
1541C23—531no—
1542C23—531no—
1543C23—1061no—
1544C23—4241no—
1545C23—4241no—
1546C23—2122no—
1547C23C2×D4×D5311yescharacteristic
1548Q8—21no—
1549Q8—21no—
1550Q8—81no—
1551Q8—1061no—
1552Q8—1061no—
1553Q8—1061no—
1554Q8—1061no—
1555Q8—1061no—
1556Q8—1061no—
1557Q8—4241no—
1558Q8—2121no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—21no—
1564D4—42no—
1565D4—81no—
1566D4—532no—
1567D4—1061no—
1568D4—4241no—
1569D4—4241no—
1570D4—4241no—
1571D4—2121no—
1572D4—2122no—
1573D4—2121no—
1574D4—2121no—
1575D4—2122no—
1576D4—2122no—
1577D4—2122no—
1578D4—2122no—
1579D4#41×D5312yes—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—81no—
1588C2×C4—81no—
1589C2×C4—81no—
1590C2×C4—81no—
1591C2×C4—81no—
1592C2×C4—531no—
1593C2×C4—531no—
1594C2×C4—531no—
1595C2×C4—531no—
1596C2×C4—531no—
1597C2×C4—531no—
1598C2×C4—1061no—
1599C2×C4—1061no—
1600C2×C4—1061no—
1601C2×C4—1061no—
1602C2×C4—1061no—
1603C2×C4—1061no—
1604C2×C4—1061no—
1605C2×C4—1061no—
1606C2×C4—1061no—
1607C2×C4—1061no—
1608C2×C4—1061no—
1609C2×C4—4241no—
1610C2×C4—4241no—
1611C2×C4—4241no—
1612C2×C4—4241no—
1613C2×C4—4241no—
1614C2×C4—4241no—
1615C2×C4—4241no—
1616C2×C4—4241no—
1617C2×C4—4241no—
1618C2×C4—2121no—
1619C2×C4—2121no—
1620C2×C4—2122no—
1621C2×C4—2122no—
1622C2×C4—2122no—
1623C2×C4—2122no—
1624C2×C4C2×D4×D5311yescharacteristic
1625C2×C4C2×D4×D5311yescharacteristic
1626C2×C4C2×D4×D5311yescharacteristic
1627C2×C4C2×D4×D5311yescharacteristic
1628C2×C4C2×D4×D5311yescharacteristic
1629C2×C4C24×D5311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—532no—
1635C8—1061no—
1636C8—1061no—
1637C8—1061no—
1638C22—21no—
1639C22—22no—
1640C22—21no—
1641C22—21no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—162no—
1651C22—8482no—
1652C22—1061no—
1653C22—1061no—
1654C22—1062no—
1655C22—1061no—
1656C22—1061no—
1657C22—1061no—
1658C22—1061no—
1659C22—2121no—
1660C22—2121no—
1661C22C22×D4×D5311yescharacteristic
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—1061no—
1673C4—1061no—
1674C4—1061no—
1675C4—1061no—
1676C4—1061no—
1677C4—1061no—
1678C4—2121no—
1679C4—2121no—
1680C4—2121no—
1681C4—2121no—
1682C4—2121no—
1683C4—2121no—
1684C4—2121no—
1685C4C2×#41×D5311yescharacteristic
1686C4#1681145911yescharacteristic
1687C2—41no—
1688C2—42no—
1689C2—81no—
1690C2—81no—
1691C2—2121no—
1692C2—2122no—
1693C2—2121no—
1694C2#2028819811yescharacteristic
1695C2#2028948311yescharacteristic
1696C2#2028948711yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3118C2
socleC22×C53C23×D4
hypercenter#3118D53
hypocenterC53#61501
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #20288781C2semidirect
2. #20288771C2semidirect
3. #20287793C2semidirect
4. #20287668C2semidirect
5. #20287363C2semidirect
6. #20287359C2semidirect
7. #20287283C2semidirect
8. #20287267C2semidirect
9. #20287253C2semidirect
10. #20286630C2semidirect
11. #20286629C2semidirect
12. #20286572C2semidirect
13. #20286569C2semidirect
14. #20286554C2semidirect
15. #20286553C2semidirect
16. #20286326C2semidirect
17. #20286238C2semidirect
18. #20286235C2semidirect
19. #20285381C2semidirect
20. #20285377C2semidirect
21. #20285283C2semidirect
22. #20284931C2semidirect
23. #20284925C2semidirect
24. #20284895C2semidirect
25. #20284822C2semidirect
26. #20284820C2semidirect
27. #20283688C2semidirect
28. #20283547C2semidirect
29. #20283544C2semidirect
30. C4×#13133238C2semidirect
31. C53×#3118C2semidirect
35. #16811347C22semidirect
36. #16811343C22semidirect
37. #16811342C22semidirect
38. #16811341C22semidirect
39. #16811334C22semidirect
40. #16811332C22semidirect
57. #16811267C22semidirect
58. #16811266C22semidirect
60. #16811235C22semidirect
61. #16811231C22semidirect
66. #16811155C22semidirect
67. #16811155C22semidirect
75. #16811095C22semidirect
76. C4×#11719949C22semidirect
77. C4×#11719947C22semidirect
78. #16811031C22semidirect
79. #16811029C22semidirect
80. #16811024C22semidirect
81. #16811018C22semidirect
82. #16811014C22semidirect
84. #16810977C22semidirect
85. #16810976C22semidirect
86. #16810976C22semidirect
87. #16810976C22semidirect
88. #16810975C22semidirect
89. #16810972C22semidirect
90. #16810967C22semidirect
91. #16810966C22semidirect
92. #16810966C22semidirect
93. #16810959C22semidirect
94. #16810957C22semidirect
95. #16810955C22semidirect
96. #16810954C22semidirect
98. #16810946C22semidirect
99. #16810945C22semidirect
100. #16810933C22semidirect
101. #16810933C22semidirect
102. #16810932C22semidirect
103. #16810931C22semidirect
104. #16810926C22semidirect
105. #16810925C22semidirect
106. #16810924C22semidirect
107. #16810921C22semidirect
108. #16810911C22semidirect
109. #16810902C22semidirect
110. #16810880C22semidirect
111. #16810879C22semidirect
114. #16810865C22semidirect
115. #16810865C22semidirect
116. #16810862C22semidirect
118. #16810851C22semidirect
119. #16810851C22semidirect
122. #16810844C22semidirect
123. #16810843C22semidirect
128. #16810834C22semidirect
129. #16810832C22semidirect
130. #16810829C22semidirect
131. #16810826C22semidirect
132. #16810788C22semidirect
136. #16810786C22semidirect
138. #16810775C22semidirect
142. #16810752C22semidirect
143. #16810747C22semidirect
147. #16810731C22semidirect
148. #16810728C22semidirect
149. #16810725C22semidirect
150. #16810723C22semidirect
151. #16810723C22semidirect
152. #16810723C22semidirect
153. #16810720C22semidirect
154. C4×Dic212C22semidirect
155. C4×#11719925C22semidirect
156. #16810715C22semidirect
157. C4×#11719913C22semidirect
158. SD16×Dic53C22semidirect
159. #16810710C22semidirect
160. #16810710C22semidirect
161. C4×#11719923C22semidirect
162. C4×#11719923C22semidirect
163. C4×#11719923C22semidirect
169. #16810697C22semidirect
170. #16810693C22semidirect
171. #16810688C22semidirect
173. #16810686C22semidirect
174. #16810682C22semidirect
175. #16810678C22semidirect
176. #16810666C22semidirect
177. #16810662C22semidirect
178. #16810658C22semidirect
179. #16810618C22semidirect
182. #16810616C22semidirect
183. C2×#13133138C22semidirect
184. #102×D53C22semidirect
185. #16810580C22semidirect
186. #16810579C22semidirect
187. C4×C8×D53C22semidirect
189. C53×#518C22semidirect
190. C53×#485C22semidirect
192. C53×#476C22semidirect
193. C53×#474C22semidirect
196. C53×#450C22semidirect
199. C53×#440C22semidirect
200. C4×SD16×C53C22semidirect
202. C53×#433C22semidirect
863. #3118D53semidirect
925. #518C2×D53semidirect
943. #485C2×D53semidirect
961. #476C2×D53semidirect
963. #474C2×D53semidirect
995. #450C2×D53semidirect
1013. #440C2×D53semidirect
1024. C4×SD16C2×D53semidirect
1037. #433C2×D53semidirect
1051. C53#61501semidirect

Maximal subgroups

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

subgroupindex
#202887812
#202887712
#202877932
#202876682
#202873632
#202873592
#202872832
#202872672
#202872532
#202866302
#202866292
#202865722
#202865692
#202865542
#202865532
#202863262
#202862382
#202862352
#202853812
#202853772
#202852832
#202849312
#202849252
#202848952
#202848222
#202848202
#202836882
#202835472
#202835442
C4×#131332382
C53×#31182
#6150153