Finite Group Databasebeta

← #28265546

Subgroups — #28265546

Order 13568.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288313C211yesmaximal, characteristic, complemented
2#20288277C211yesmaximal, characteristic, complemented
3#20287712C211yesmaximal, characteristic, complemented
4#20287591C211yesmaximal, characteristic, complemented
5#20287401C211yesmaximal, characteristic, complemented
6#20287376C211yesmaximal, characteristic, complemented
7#20287124C211yesmaximal, characteristic, complemented
8#20287099C211yesmaximal, characteristic, complemented
9#20287095C211yesmaximal, characteristic, complemented
10#20286661C211yesmaximal, characteristic, complemented
11#20286628C211yesmaximal, characteristic, complemented
12#20286607C211yesmaximal, characteristic, complemented
13#20286603C211yesmaximal, characteristic, complemented
14#20286570C211yesmaximal, characteristic, complemented
15#20286566C211yesmaximal, characteristic, complemented
16#20286439C211yesmaximal, characteristic, complemented
17#20286424C211yesmaximal, characteristic, complemented
18#20286416C211yesmaximal, characteristic, complemented
19#20285285C211yesmaximal, characteristic, complemented
20#20285281C211yesmaximal, characteristic, complemented
21#20285271C211yesmaximal, characteristic, complemented
22#20284752C211yesmaximal, characteristic, complemented
23#20284739C211yesmaximal, characteristic, complemented
24#20284733C211yesmaximal, characteristic, complemented
25#20284733C211yesmaximal, characteristic, complemented
26#20284729C211yesmaximal, characteristic, complemented
27#20284713C211yesmaximal, characteristic, complemented
28C8×#11719945C211yesmaximal, characteristic, complemented
29C4×#13133238C211yesmaximal, characteristic, complemented
30C4×SD16×D53C211yesmaximal, characteristic, complemented
31C4×#135×C53C211yesmaximal, characteristic, complemented
32C2×#13133238C2211yescharacteristic
33C2×SD16×D53C2211yescharacteristic
34#16811356—21no—
35#16811356C2211yescharacteristic, complemented
36#16811349C2211yescharacteristic, complemented
37#16811345C2211yescharacteristic
38#16811341—21no—
39#16811341C2211yescharacteristic, complemented
40#16811336C2211yescharacteristic
41#16811332C2211yescharacteristic
42#16811323—21no—
43#16811323C2211yescharacteristic
44#16811322—21no—
45#16811317—21no—
46#16811317C2211yescharacteristic
47#16811314C2211yescharacteristic
48#16811312C2211yescharacteristic
49#16811306—21no—
50#16811302—21no—
51#16811297—21no—
52#16811292C2211yescharacteristic, complemented
53#16811285C2211yescharacteristic
54#16811280C2211yescharacteristic
55#16811272C2211yescharacteristic
56#16811268C2211yescharacteristic
57#16811261C2211yescharacteristic
58#16811177C2211yescharacteristic
59#16811170—21no—
60#16811170C2211yescharacteristic
61#16811160C2211yescharacteristic
62#16811157—21no—
63#16811157—21no—
64#16811157C2211yescharacteristic
65#16811157C2211yescharacteristic, complemented
66#16811155—21no—
67#16811155C2211yescharacteristic, complemented
68#16811153—21no—
69#16811132—21no—
70C4×#11719949C2211yescharacteristic, complemented
71C4×#11719945—21no—
72C4×#11719945C2211yescharacteristic
73C4×#11719947C2211yescharacteristic
74C4×Q8×D53C2211yescharacteristic
75C4×D4×D53C2211yescharacteristic
76C2×#13133174—21no—
77#16811025C2211yescharacteristic, complemented
78#16811023C2211yescharacteristic, complemented
79#16811020C2211yescharacteristic, complemented
80#16811007C2211yescharacteristic
81#16811004C2211yescharacteristic
82#16810994C2211yescharacteristic, complemented
83#16810979C2211yescharacteristic
84#16810978C2211yescharacteristic
85#16810978C2211yescharacteristic, complemented
86#16810976C2211yescharacteristic, complemented
87#16810972C2211yescharacteristic, complemented
88#16810968C2211yescharacteristic, complemented
89#16810966C2211yescharacteristic, complemented
90#16810964C2211yescharacteristic, complemented
91#16810964C2211yescharacteristic, complemented
92#16810963C2211yescharacteristic, complemented
93#16810960C2211yescharacteristic
94#16810957C2211yescharacteristic
95#16810950C2211yescharacteristic
96#16810947C2211yescharacteristic
97#16810947C2211yescharacteristic, complemented
98#16810945C2211yescharacteristic, complemented
99#16810938C2211yescharacteristic
100#16810935C2211yescharacteristic
101#16810932C2211yescharacteristic, complemented
102#16810930C2211yescharacteristic, complemented
103#16810930C2211yescharacteristic, complemented
104#16810929C2211yescharacteristic, complemented
105#16810926C2211yescharacteristic, complemented
106#16810923C2211yescharacteristic
107#16810923C2211yescharacteristic, complemented
108#16810921C2211yescharacteristic
109#16810917C2211yescharacteristic, complemented
110#16810916C2211yescharacteristic, complemented
111#16810902C2211yescharacteristic
112#16810901C2211yescharacteristic
113#16810864C2211yescharacteristic, complemented
114#16810863C2211yescharacteristic, complemented
115#16810859C2211yescharacteristic
116#16810858C2211yescharacteristic
117#16810855C2211yescharacteristic
118#16810853C2211yescharacteristic
119#16810853C2211yescharacteristic
120#16810852C2211yescharacteristic
121#16810852C2211yescharacteristic, complemented
122#16810851C2211yescharacteristic
123#16810849C2211yescharacteristic
124#16810849C2211yescharacteristic, complemented
125#16810847C2211yescharacteristic
126#16810845C2211yescharacteristic
127#16810845C2211yescharacteristic, complemented
128#16810844C2211yescharacteristic, complemented
129#16810841C2211yescharacteristic
130#16810838C2211yescharacteristic
131#16810838C2211yescharacteristic
132#16810836C2211yescharacteristic
133#16810832C2211yescharacteristic, complemented
134#16810831C2211yescharacteristic, complemented
135#16810817C2211yescharacteristic
136#16810816C2211yescharacteristic
137#16810786C2211yescharacteristic
138#16810785C2211yescharacteristic
139#16810785C2211yescharacteristic, complemented
140#16810784C2211yescharacteristic, complemented
141#16810780C2211yescharacteristic
142#16810777C2211yescharacteristic
143#16810771C2211yescharacteristic
144#16810768C2211yescharacteristic
145#16810768C2211yescharacteristic
146#16810765C2211yescharacteristic
147#16810758C2211yescharacteristic
148#16810755C2211yescharacteristic
149C8×Dic106C2211yescharacteristic, complemented
150C8×Dic106C2211yescharacteristic, complemented
151C4×Dic212C2211yescharacteristic, complemented
152C4×#11719925C2211yescharacteristic, complemented
153C4×#11719925C2211yescharacteristic, complemented
154#16810715C2211yescharacteristic, complemented
155#16810714C2211yescharacteristic
156C4×#11719913C2211yescharacteristic
157C4×#11719913C2211yescharacteristic, complemented
158SD16×Dic53C2211yescharacteristic
159SD16×Dic53C2211yescharacteristic
160C4×#11719924C2211yescharacteristic
161C4×#11719924C2211yescharacteristic, complemented
162#16810710C2211yescharacteristic
163#16810710C2211yescharacteristic, complemented
164C4×#11719923C2211yescharacteristic
165C4×#11719923C2211yescharacteristic, complemented
166#16810708C2211yescharacteristic
167C4×D424C2211yescharacteristic
168C4×#11719922C2211yescharacteristic
169C4×#11719922C2211yescharacteristic
170#16810703C2211yescharacteristic
171C8×D212C2211yescharacteristic
172C8×D212C2211yescharacteristic
173C8×C22⋊D53C2211yescharacteristic
174C8×C22⋊D53C2211yescharacteristic
175C8×C22⋊D53C2211yescharacteristic, complemented
176C8×C22⋊D53C2211yescharacteristic, complemented
177#16810676C2211yescharacteristic, complemented
178#16810674C2211yescharacteristic
179#16810674C2211yescharacteristic, complemented
180#16810658C2211yescharacteristic, complemented
181#106×D53C2211yescharacteristic
182#16810618C2211yescharacteristic, complemented
183#16810616C2211yescharacteristic
184#103×D53C2211yescharacteristic
185#102×D53C2211yescharacteristic
186C4×C8×D53C2211yescharacteristic
187C4×C8×D53C2211yescharacteristic, complemented
188C2×#135×C53C2211yescharacteristic
189C4×#41×C53C2211yescharacteristic
190C4×#41×C53C2211yescharacteristic, complemented
191C4×Q16×C53C2211yescharacteristic, complemented
192C4×Q16×C53C2211yescharacteristic, complemented
193C4×SD16×C53C2211yescharacteristic
194C4×SD16×C53C2211yescharacteristic
195C4×SD16×C53C2211yescharacteristic, complemented
196C4×SD16×C53C2211yescharacteristic, complemented
197C4×D8×C53C2211yescharacteristic
198C4×D8×C53C2211yescharacteristic
199C53×#427C2211yescharacteristic, complemented
200C53×#416C2211yescharacteristic
201C53×#416C2211yescharacteristic, complemented
202C2×C4×C8×C53C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719945—21no—
205C2×#11719945D411yescharacteristic
206C2×#11719947C2311yescharacteristic
207C2×Q8×D53C2311yescharacteristic
208C2×D4×D53C2311yescharacteristic
209C22×C4×D53—21no—
210#13133238—24no—
211C2×Dic212C2311yescharacteristic
212C2×#11719925C2311yescharacteristic
213C2×#11719925C2311yescharacteristic
214C2×#11719913C2311yescharacteristic
215C2×#11719913C2311yescharacteristic
216C2×#11719923C2311yescharacteristic
217C2×#11719923C2311yescharacteristic
218C2×#11719924C2311yescharacteristic
219C2×#11719924C2311yescharacteristic
220SD16×D53—24no—
221C2×D424C2311yescharacteristic
222C2×#11719922C2311yescharacteristic
223C2×#11719922C2311yescharacteristic
224C2×C8×D53C2311yescharacteristic
225C2×C8×D53C2311yescharacteristic
226C2×C8×D53C2311yescharacteristic
227C2×C8×D53C2311yescharacteristic
228#13133216—21no—
229#13133216C2311yescharacteristic
230#13133216C2311yescharacteristic
231#13133215C2311yescharacteristic
232#13133213—21no—
233#13133213C2311yescharacteristic
234#13133212—21no—
235#13133212—21no—
236#13133211—21no—
237#13133211—21no—
238#13133211—21no—
239#13133211—21no—
240#13133211—21no—
241#13133211—21no—
242#13133210—21no—
243#13133210—21no—
244#13133210—21no—
245#13133210—21no—
246#13133209—21no—
247#13133209—21no—
248#13133209C2311yescharacteristic
249#13133209C2311yescharacteristic
250#13133208—21no—
251#13133208C2311yescharacteristic
252#13133208C2311yescharacteristic
253#13133207—21no—
254#13133207—21no—
255#13133206C2311yescharacteristic
256#13133205—21no—
257#13133205—21no—
258#13133205C2311yescharacteristic
259#13133205C2311yescharacteristic
260#13133204—21no—
261#13133204C2311yescharacteristic
262#13133203—21no—
263#13133203—21no—
264#13133203—21no—
265#13133203—21no—
266#13133202—21no—
267#13133202—21no—
268#13133201—21no—
269#13133200—21no—
270#13133200—21no—
271#13133200—21no—
272#13133200—21no—
273#13133200—21no—
274#13133200—21no—
275#13133199—21no—
276#13133199—21no—
277#13133199—21no—
278#13133199—21no—
279#13133198—21no—
280#13133197—21no—
281#13133197C2311yescharacteristic
282#13133197C2311yescharacteristic
283#13133196—21no—
284#13133196—21no—
285#13133196C2311yescharacteristic
286#13133196C2311yescharacteristic
287#13133195—21no—
288#13133195—21no—
289#13133194—21no—
290#13133194—21no—
291#13133193C2311yescharacteristic
292#13133193C2311yescharacteristic
293#13133192—21no—
294#13133192C2311yescharacteristic
295#13133192C2311yescharacteristic
296#13133191—21no—
297#13133191—21no—
298#13133191C2311yescharacteristic
299#13133191C2311yescharacteristic
300#13133190—21no—
301#13133190—21no—
302#13133190—21no—
303#13133190—21no—
304#13133189—21no—
305#13133189—21no—
306#13133188—21no—
307#13133188—21no—
308#13133188C2311yescharacteristic
309#13133188C2311yescharacteristic
310#13133187—21no—
311#13133185—21no—
312Q8×Dic53C2311yescharacteristic
313Q8×Dic53C2311yescharacteristic
314C4×Dic106—21no—
315C4×Dic106—21no—
316C4×Dic106—21no—
317C4×Dic106—21no—
318C4×Dic106D411yescharacteristic
319C4×Dic106C2311yescharacteristic
320C4×Dic106C2311yescharacteristic
321C4×Dic106C2311yescharacteristic
322#13133182—21no—
323#13133182C2311yescharacteristic
324#13133182C2311yescharacteristic
325C4×D212—21no—
326C4×D212—21no—
327C4×D212—21no—
328C4×D212—21no—
329C4×D212D411yescharacteristic
330C4×D212C2311yescharacteristic
331C4×D212C2311yescharacteristic
332C4×D212C2311yescharacteristic
333D4×Dic53C2311yescharacteristic
334D4×Dic53C2311yescharacteristic
335#13133179—21no—
336#13133179C2311yescharacteristic
337#13133179C2311yescharacteristic
338C4×C22⋊D53—21no—
339C4×C22⋊D53—21no—
340C4×C22⋊D53—21no—
341C4×C22⋊D53—21no—
342C4×C22⋊D53—21no—
343C4×C22⋊D53—21no—
344C4×C22⋊D53—21no—
345C4×C22⋊D53—21no—
346C4×C22⋊D53—21no—
347C4×C22⋊D53—21no—
348C4×C22⋊D53D411yescharacteristic
349C4×C22⋊D53D411yescharacteristic
350C4×C22⋊D53C2311yescharacteristic
351C4×C22⋊D53C2311yescharacteristic
352#13133177—21no—
353#13133177—21no—
354#13133176—21no—
355#13133176D411yescharacteristic
356#13133175—21no—
357#13133175C2311yescharacteristic
358#13133175C2311yescharacteristic
359#13133174—21no—
360#13133174—21no—
361#13133174—21no—
362#13133174—21no—
363#13133174—21no—
364#13133174—21no—
365#13133174—21no—
366#13133174—21no—
367#13133174D411yescharacteristic
368#13133174D411yescharacteristic
369#13133173—21no—
370C2×#11719919—21no—
371C2×#11719919—21no—
372C4⋊C4×D53—21no—
373C4⋊C4×D53C2311yescharacteristic
374C4⋊C4×D53C2311yescharacteristic
375C2×#11719921—21no—
376C2×#11719921—21no—
377C22⋊C4×D53—21no—
378C2×C4×Dic53—21no—
379C42×D53—21no—
380C42×D53—21no—
381C42×D53C2311yescharacteristic
382C42×D53C2311yescharacteristic
383#13133151C2311yescharacteristic
384#13133151C2311yescharacteristic
385#13133150C2311yescharacteristic
386#13133150C2311yescharacteristic
387#13133150C2311yescharacteristic
388#13133150C2311yescharacteristic
389#13133149C2311yescharacteristic
390#13133149C2311yescharacteristic
391#13133148C2311yescharacteristic
392#13133148C2311yescharacteristic
393#13133148C2311yescharacteristic
394#13133148C2311yescharacteristic
395C4⋊#88322C2311yescharacteristic
396C4⋊#88322C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133146C2311yescharacteristic
401#13133142C2311yescharacteristic
402#13133142C2311yescharacteristic
403#13133142C2311yescharacteristic
404#13133142C2311yescharacteristic
405#13133141C2311yescharacteristic
406#13133141C2311yescharacteristic
407#13133141C2311yescharacteristic
408#13133141C2311yescharacteristic
409#13133140C2311yescharacteristic
410#13133140C2311yescharacteristic
411#13133140C2311yescharacteristic
412#13133140C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133139C2311yescharacteristic
416#13133139C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133138C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425C22⋊#88322C2311yescharacteristic
426C22⋊#88322C2311yescharacteristic
427#13133129C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133129C2311yescharacteristic
430#13133129C2311yescharacteristic
431C4×#88322C2311yescharacteristic
432C4×#88322C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C8×Dic53C2311yescharacteristic
436C8×Dic53C2311yescharacteristic
437C2×#41×C53C2311yescharacteristic
438C2×#41×C53C2311yescharacteristic
439#135×C53—24no—
440C2×Q16×C53C2311yescharacteristic
441C2×SD16×C53C2311yescharacteristic
442C2×SD16×C53C2311yescharacteristic
443C2×D8×C53C2311yescharacteristic
444C22×C8×C53C2311yescharacteristic
445C22×C8×C53C2311yescharacteristic
446C4×Q8×C53C2311yescharacteristic
447C4×Q8×C53C2311yescharacteristic
448C4×Q8×C53C2311yescharacteristic
449C4×Q8×C53C2311yescharacteristic
450C4×D4×C53—21no—
451C4×D4×C53—21no—
452C4×D4×C53—21no—
453C4×D4×C53—21no—
454C4×D4×C53C2311yescharacteristic
455C4×D4×C53C2311yescharacteristic
456C4×D4×C53C2311yescharacteristic
457C4×D4×C53C2311yescharacteristic
458#117×C53—21no—
459#117×C53—21no—
460#117×C53C2311yescharacteristic
461#117×C53C2311yescharacteristic
462C2×C42×C53—21no—
463C2×C42×C53—21no—
464C2×C42×C53C2311yescharacteristic
465#107×C53C2311yescharacteristic
466#107×C53C2311yescharacteristic
467#106×C53C2311yescharacteristic
468#106×C53C2311yescharacteristic
469#103×C53C2311yescharacteristic
470#103×C53C2311yescharacteristic
471#103×C53C2311yescharacteristic
472#103×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477C4×C8×C53C2311yescharacteristic
478C4×C8×C53C2311yescharacteristic
479C4×C8×C53C2311yescharacteristic
480C4×C8×C53C2311yescharacteristic
481C23×D53—21no—
482#41×C53—22no—
483#41×C53—22no—
484#41×C53—41no—
485#41×C53—41no—
486C2×Q8×C53C2411yescharacteristic
487C2×Q8×C53C2411yescharacteristic
488C2×D4×C53—21no—
489C2×D4×C53—21no—
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×C53—21no—
498C22×C4×C53C2×D411yescharacteristic
499C22×C4×C53C2×D411yescharacteristic
500C22×C4×C53C2411yescharacteristic
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⋊D53C2×D411yescharacteristic
510C2×C22⋊D53C2×D411yescharacteristic
511C22×Dic53—21no—
512C22×Dic53—21no—
513C22×Dic53—21no—
514#11719949—22no—
515#11719949—41no—
516Q8×D53—22no—
517Q8×D53—41no—
518#11719947—22no—
519#11719947—41no—
520D4×D53—22no—
521D4×D53—41no—
522#11719945—24no—
523#11719945—44no—
524C2×D212—21no—
525C2×D212—21no—
526C2×D212—21no—
527C2×D212C2×D411yescharacteristic
528C2×D212C2411yescharacteristic
529C2×D212C2411yescharacteristic
530C2×C4×D53—21no—
531C2×C4×D53—21no—
532C2×C4×D53—21no—
533C2×C4×D53—21no—
534C2×C4×D53—21no—
535C2×C4×D53—21no—
536C2×C4×D53—21no—
537C2×C4×D53—21no—
538C2×C4×D53—44no—
539C2×C4×D53C2×D411yescharacteristic
540C2×C4×D53C2×D411yescharacteristic
541C2×C4×D53C2×D411yescharacteristic
542C2×C4×D53C2×D411yescharacteristic
543C2×C4×D53C2411yescharacteristic
544C2×C4×D53C2411yescharacteristic
545C2×Dic106—21no—
546C2×Dic106—21no—
547C2×Dic106—21no—
548C2×Dic106C2×D411yescharacteristic
549C2×Dic106C2411yescharacteristic
550C2×Dic106C2411yescharacteristic
551Q16×C53—22no—
552SD16×C53—22no—
553SD16×C53#4114yescomplemented
554D8×C53—22no—
555C2×C8×C53—22no—
556C2×C8×C53—41no—
557C2×C8×C53C2411yescharacteristic
558C2×C8×C53C2411yescharacteristic
559C2×C8×C53C2411yescharacteristic
560C2×C8×C53C2411yescharacteristic
561C4⋊C4×C53—21no—
562C4⋊C4×C53—21no—
563C4⋊C4×C53—21no—
564C4⋊C4×C53—21no—
565C4⋊C4×C53C2411yescharacteristic
566C4⋊C4×C53C2411yescharacteristic
567C4⋊C4×C53C2411yescharacteristic
568C4⋊C4×C53C2411yescharacteristic
569C22⋊C4×C53—21no—
570C22⋊C4×C53—21no—
571C22⋊C4×C53—21no—
572C22⋊C4×C53—21no—
573C22⋊C4×C53—21no—
574C22⋊C4×C53—21no—
575C42×C53—21no—
576C42×C53—21no—
577C42×C53—21no—
578C42×C53—21no—
579C42×C53—21no—
580C42×C53—21no—
581C42×C53C2×D411yescharacteristic
582C42×C53C2×D411yescharacteristic
583C42×C53C2411yescharacteristic
584C42×C53C2411yescharacteristic
585C22⋊Dic53—21no—
586C22⋊Dic53—21no—
587C22⋊Dic53—21no—
588C22⋊Dic53—21no—
589C22⋊Dic53—21no—
590C22⋊Dic53—21no—
591C22⋊Dic53—21no—
592C22⋊Dic53—21no—
593C22⋊Dic53C2×D411yescharacteristic
594C22⋊Dic53C2×D411yescharacteristic
595#11719925—22no—
596#11719925—41no—
597#11719924—22no—
598#11719924—41no—
599#11719923—22no—
600#11719923—41no—
601#11719922—22no—
602#11719922—41no—
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#11719921—21no—
612#11719921—21no—
613#11719921—21no—
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#11719921C2×D411yescharacteristic
624#11719921C2×D411yescharacteristic
625#11719921C2×D411yescharacteristic
626#11719921C2×D411yescharacteristic
627C4⋊Dic53—21no—
628C4⋊Dic53—21no—
629C4⋊Dic53—21no—
630C4⋊Dic53—21no—
631C4⋊Dic53—21no—
632C4⋊Dic53—21no—
633C4⋊Dic53C2×D411yescharacteristic
634C4⋊Dic53C2×D411yescharacteristic
635C4⋊Dic53C2411yescharacteristic
636C4⋊Dic53C2411yescharacteristic
637C4⋊Dic53C2411yescharacteristic
638C4⋊Dic53C2411yescharacteristic
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#11719919—21no—
653#11719919—21no—
654#11719919—21no—
655#11719919—21no—
656#11719919—21no—
657#11719919—21no—
658#11719919—21no—
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×Dic53—21no—
671C4×Dic53C2×D411yescharacteristic
672C4×Dic53C2×D411yescharacteristic
673C4×Dic53C2×D411yescharacteristic
674C4×Dic53C2×D411yescharacteristic
675C4×Dic53C2411yescharacteristic
676C4×Dic53C2411yescharacteristic
677C2×#88322C2411yescharacteristic
678C2×#88322C2411yescharacteristic
679C2×#88322C2411yescharacteristic
680C2×#88322C2411yescharacteristic
681Dic212—41no—
682D424—41no—
683#11719913—22no—
684#11719913—22no—
685C8×D53—22no—
686C8×D53—22no—
687C8×D53—41no—
688C8×D53—41no—
689C23×C53—21no—
690C23×C53—21no—
691C23×C53C22×D411yescharacteristic
692C22×D53—21no—
693C22×D53—21no—
694C22×D53—42no—
695C22×D53—42no—
696C22×D53—81no—
697C22×D53C22×D411yescharacteristic
698C22×D53C22×D411yescharacteristic
699Q8×C53—21no—
700Q8×C53—21no—
701Q8×C53—21no—
702Q8×C53C2×#4112yes—
703D4×C53—21no—
704D4×C53—21no—
705D4×C53—21no—
706D4×C53—42no—
707D4×C53—42no—
708D4×C53C2×#4112yes—
709C2×C4×C53—21no—
710C2×C4×C53—22no—
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—21no—
718C2×C4×C53—41no—
719C2×C4×C53—42no—
720C2×C4×C53—42no—
721C2×C4×C53—42no—
722C2×C4×C53—42no—
723C2×C4×C53—81no—
724C2×C4×C53—81no—
725C2×C4×C53C22×D411yescharacteristic
726C2×C4×C53C22×D411yescharacteristic
727C2×C4×C53C22×D411yescharacteristic
728C2×C4×C53C22×D411yescharacteristic
729C2×C4×C53C22×D411yescharacteristic
730C2×C4×C53C2511yescharacteristic
731C22⋊D53—22no—
732C22⋊D53—22no—
733C22⋊D53—42no—
734C22⋊D53—42no—
735C22⋊D53—42no—
736C22⋊D53—42no—
737C22⋊D53—81no—
738C22⋊D53—81no—
739C22⋊D53—81no—
740C22⋊D53—81no—
741C2×Dic53—21no—
742C2×Dic53—21no—
743C2×Dic53—21no—
744C2×Dic53—21no—
745C2×Dic53—21no—
746C2×Dic53—21no—
747C2×Dic53—42no—
748C2×Dic53—42no—
749C2×Dic53—81no—
750C2×Dic53C22×D411yescharacteristic
751C2×Dic53C22×D411yescharacteristic
752C2×Dic53C22×D411yescharacteristic
753C2×Dic53C22×D411yescharacteristic
754C2×Dic53C22×D411yescharacteristic
755C2×Dic53C22×D411yescharacteristic
756D212—22no—
757D212—21no—
758D212—21no—
759D212—21no—
760D212—21no—
761D212—42no—
762D212—42no—
763D212—81no—
764C4×D53—22no—
765C4×D53—21no—
766C4×D53—21no—
767C4×D53—21no—
768C4×D53—21no—
769C4×D53—41no—
770C4×D53—41no—
771C4×D53—42no—
772C4×D53—42no—
773C4×D53—42no—
774C4×D53—42no—
775C4×D53—42no—
776C4×D53—42no—
777C4×D53—81no—
778C4×D53—81no—
779C4×D53#13514yescomplemented
780Dic106—22no—
781Dic106—21no—
782Dic106—21no—
783Dic106—21no—
784Dic106—21no—
785Dic106—42no—
786Dic106—42no—
787Dic106—81no—
788C8×C53—21no—
789C8×C53—21no—
790C8×C53—21no—
791C8×C53C2×#4112yes—
792#88322—21no—
793#88322—21no—
794#88322—21no—
795#88322—21no—
796#61428—531nomaximal, Sylow
797C22×C53—21no—
798C22×C53—22no—
799C22×C53—21no—
800C22×C53—21no—
801C22×C53—41no—
802C22×C53—41no—
803C22×C53—41no—
804C22×C53—41no—
805C22×C53—41no—
806C22×C53C23×D411yescharacteristic
807C2×D53—21no—
808C2×D53—21no—
809C2×D53—21no—
810C2×D53—21no—
811C2×D53—21no—
812C2×D53—41no—
813C2×D53—41no—
814C2×D53—41no—
815C2×D53—41no—
816C2×D53—41no—
817C2×D53—41no—
818C2×D53—84no—
819C2×D53C2×#13512yes—
820C4×C53—21no—
821C4×C53—21no—
822C4×C53—22no—
823C4×C53—21no—
824C4×C53—21no—
825C4×C53—41no—
826C4×C53—41no—
827C4×C53—41no—
828C4×C53—41no—
829C4×C53—41no—
830C4×C53C2×#13512yes—
831C4×C53C22×#4111yescharacteristic
832C4×C53#58511yescharacteristic
833Dic53—21no—
834Dic53—21no—
835Dic53—21no—
836Dic53—21no—
837Dic53—21no—
838Dic53—41no—
839Dic53—41no—
840Dic53—41no—
841Dic53—41no—
842Dic53—41no—
843Dic53—41no—
844Dic53C2×#13512yes—
845#3480—531no—
846#3475—531no—
847#3394—531no—
848#3381—531no—
849#3364—531no—
850#3361—531no—
851#3340—531no—
852#3337—531no—
853#3337—531no—
854#3305—531no—
855#3302—531no—
856#3300—531no—
857#3300—531no—
858#3297—531no—
859#3297—531no—
860#3284—531no—
861#3282—531no—
862#3282—531no—
863#3168—531no—
864#3168—531no—
865#3167—531no—
866#3104—531no—
867#3102—531no—
868#3102—531no—
869#3102—531no—
870#3102—531no—
871#3100—531no—
872C8×#41—531no—
873C4×#135—531no—
874C4×#135D5311yescharacteristic, complemented
875C2×C4×SD16—531no—
876C2×C53—42no—
877C2×C53—41no—
878C2×C53—81no—
879C2×C53D4×#4111yescharacteristic
880C2×C53C22×#13511yescharacteristic
881C2×C53#358411yescharacteristic
882D53—22no—
883D53—41no—
884D53—81no—
885D53—81no—
886C2×#135—531no—
887C2×#135C2×D5311yescharacteristic
888C22×SD16—531no—
889#559—531no—
890#559—1061no—
891#557—531no—
892#556—531no—
893#556—531no—
894#556—1061no—
895#555—531no—
896#554—531no—
897#553—531no—
898#553—531no—
899#553—1061no—
900#553—1061no—
901#553—1061no—
902#552—531no—
903#552—531no—
904#552—1061no—
905#551—1061no—
906#551—1061no—
907#550—531no—
908#548—531no—
909#548—531no—
910#547—531no—
911#546—531no—
912#546—531no—
913#533—531no—
914#532—531no—
915#532—1061no—
916#529—531no—
917#529—531no—
918#529—531no—
919#529—531no—
920#529—1061no—
921#529—1061no—
922#529—1061no—
923#529—1061no—
924#525—1061no—
925C4×#41—531no—
926C4×#41—531no—
927C4×#41—531no—
928C4×#41—1061no—
929C4×#41C2×D5311yescharacteristic
930C4×#41C2×D5311yescharacteristic, complemented
931C2×C4×Q8—531no—
932C2×C4×D4—531no—
933C2×#117—1061no—
934#499—531no—
935#499—531no—
936#498—531no—
937#495—531no—
938#495—531no—
939#492—531no—
940#488—531no—
941#488—531no—
942#488—531no—
943#488—531no—
944#487—531no—
945#486—531no—
946#485—531no—
947#485—531no—
948#485—531no—
949#485—531no—
950#484—531no—
951#484—531no—
952#482—531no—
953#482—531no—
954#482—531no—
955#482—531no—
956#480—531no—
957#480—531no—
958#479—531no—
959#479—531no—
960#479—531no—
961#479—531no—
962#478—531no—
963#478—531no—
964#478—531no—
965#478—531no—
966#477—531no—
967#477—531no—
968#474—531no—
969#474—531no—
970#467—531no—
971#467—531no—
972#466—531no—
973#466—531no—
974#465—531no—
975#465—531no—
976#465—531no—
977#465—531no—
978#465—531no—
979#465—531no—
980#465—531no—
981#465—531no—
982#464—531no—
983#464—531no—
984#464—531no—
985#464—531no—
986#463—531no—
987#463—531no—
988#463—531no—
989#463—531no—
990#462—531no—
991#462—531no—
992#459—531no—
993#459—531no—
994#452—531no—
995#452—531no—
996#452—531no—
997#452—531no—
998#451—531no—
999#451—531no—
1000#449—531no—
1001#449—531no—
1002#449—531no—
1003#449—531no—
1004#447—531no—
1005#447—531no—
1006C8×Q8—531no—
1007C8×Q8—531no—
1008C4×Q16—531no—
1009C4×Q16—531no—
1010C4×Q16—531no—
1011C4×Q16—531no—
1012C4×Q16C2×D5311yescharacteristic, complemented
1013C4×Q16C2×D5311yescharacteristic, complemented
1014C4×SD16—531no—
1015C4×SD16—531no—
1016C4×SD16—531no—
1017C4×SD16—531no—
1018C4×SD16—531no—
1019C4×SD16—531no—
1020C4×SD16—531no—
1021C4×SD16—531no—
1022C4×SD16—531no—
1023C4×SD16—531no—
1024C4×SD16—531no—
1025C4×SD16—531no—
1026C4×SD16C2×D5311yescharacteristic
1027C4×SD16C2×D5311yescharacteristic
1028C4×SD16C2×D5311yescharacteristic, complemented
1029C4×SD16C2×D5311yescharacteristic, complemented
1030C4×D8—531no—
1031C4×D8—531no—
1032C4×D8—531no—
1033C4×D8—531no—
1034C4×D8C2×D5311yescharacteristic
1035C4×D8C2×D5311yescharacteristic
1036C8×D4—531no—
1037C8×D4—531no—
1038C8×D4—531no—
1039C8×D4—531no—
1040C8×D4—531no—
1041C8×D4—531no—
1042#431—531no—
1043#431—531no—
1044#431—531no—
1045#427—531no—
1046#427C2×D5311yescharacteristic, complemented
1047C2×#106—531no—
1048#416—531no—
1049#416—531no—
1050#416C2×D5311yescharacteristic
1051#416C2×D5311yescharacteristic, complemented
1052C2×#103—531no—
1053C2×#102—531no—
1054C2×C4×C8—531no—
1055C2×C4×C8—531no—
1056C2×C4×C8C2×D5311yescharacteristic, complemented
1057C53#6142811yescharacteristic, complemented, Sylow
1058C2×#41—531no—
1059C2×#41—531no—
1060C2×#41—531no—
1061C2×#41—1061no—
1062C2×#41C22×D5311yescharacteristic
1063C2×#41C22×D5311yescharacteristic
1064C22×Q8—531no—
1065C22×D4—531no—
1066C23×C4—1061no—
1067#135—24no—
1068#135—1064no—
1069C2×Q16—531no—
1070C2×Q16—531no—
1071C2×Q16—531no—
1072C2×Q16C22×D5311yescharacteristic
1073C2×SD16—531no—
1074C2×SD16—531no—
1075C2×SD16—531no—
1076C2×SD16—531no—
1077C2×SD16—531no—
1078C2×SD16—531no—
1079C2×SD16—1064no—
1080C2×SD16C22×D5311yescharacteristic
1081C2×SD16C22×D5311yescharacteristic
1082C2×D8—531no—
1083C2×D8—531no—
1084C2×D8—531no—
1085C2×D8C22×D5311yescharacteristic
1086C22×C8—531no—
1087C22×C8—531no—
1088C22×C8—531no—
1089C22×C8—531no—
1090C22×C8C22×D5311yescharacteristic
1091C22×C8C22×D5311yescharacteristic
1092C4⋊Q8—531no—
1093C4⋊Q8—531no—
1094C4⋊Q8—531no—
1095C4⋊Q8—1061no—
1096#127—531no—
1097#127—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#126—1061no—
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#124—531no—
1120#124—531no—
1121#124—531no—
1122#124—531no—
1123#124—1061no—
1124#124—1061no—
1125#124—1061no—
1126#124—1061no—
1127#124—1061no—
1128#124—1061no—
1129#124—1061no—
1130#123—1061no—
1131#123—1061no—
1132#123—1061no—
1133#123—1061no—
1134#123—1061no—
1135#123—1061no—
1136#123—1061no—
1137#123—1061no—
1138#123—1061no—
1139#123—1061no—
1140#123—1061no—
1141#123—1061no—
1142#123—1061no—
1143#123—1061no—
1144C22⋊Q8—531no—
1145C22⋊Q8—531no—
1146C22⋊Q8—531no—
1147C22⋊Q8—531no—
1148C22⋊Q8—531no—
1149C22⋊Q8—531no—
1150C22⋊Q8—1061no—
1151C22⋊Q8—1061no—
1152C22⋊Q8—1061no—
1153C22⋊Q8—1061no—
1154C22⋊Q8—1061no—
1155C22⋊Q8—1061no—
1156C22⋊Q8—1061no—
1157#121—531no—
1158#121—531no—
1159#121—531no—
1160#121—531no—
1161#121—531no—
1162#121—531no—
1163#121—1061no—
1164#121—1061no—
1165#121—1061no—
1166#121—1061no—
1167#121—1061no—
1168#121—1061no—
1169#121—1061no—
1170#121—1061no—
1171#121—1061no—
1172#121—1061no—
1173#121—1061no—
1174#120—1061no—
1175#120—1061no—
1176C4×Q8—531no—
1177C4×Q8—531no—
1178C4×Q8—531no—
1179C4×Q8—531no—
1180C4×Q8—531no—
1181C4×Q8—531no—
1182C4×Q8—531no—
1183C4×Q8—531no—
1184C4×Q8—1061no—
1185C4×Q8—1061no—
1186C4×Q8—1061no—
1187C4×Q8—1061no—
1188C4×Q8—1061no—
1189C4×Q8C22×D5311yescharacteristic
1190C4×Q8C22×D5311yescharacteristic
1191C4×Q8C22×D5311yescharacteristic
1192C4×Q8C22×D5311yescharacteristic
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
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—531no—
1207C4×D4—531no—
1208C4×D4—531no—
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×D4—1061no—
1221C4×D4—1061no—
1222C4×D4—1061no—
1223C4×D4—1061no—
1224C4×D4—1061no—
1225C4×D4—1061no—
1226C4×D4C22×D5311yescharacteristic
1227C4×D4C22×D5311yescharacteristic
1228C4×D4C22×D5311yescharacteristic
1229C4×D4C22×D5311yescharacteristic
1230#117—21no—
1231#117—21no—
1232#117—531no—
1233#117—531no—
1234#117—531no—
1235#117—531no—
1236#117—531no—
1237#117—1061no—
1238#117—1061no—
1239#117—1061no—
1240#117—1061no—
1241#117—1061no—
1242#117—1061no—
1243#117—1061no—
1244#117—1061no—
1245#117—1061no—
1246#117—1061no—
1247#117—1061no—
1248#117C22×D5311yescharacteristic
1249#117C22×D5311yescharacteristic
1250C2×C4⋊C4—531no—
1251C2×C4⋊C4—531no—
1252C2×C4⋊C4—1061no—
1253C2×C4⋊C4—1061no—
1254C2×C4⋊C4—1061no—
1255C2×C22⋊C4—1061no—
1256C2×C22⋊C4—1061no—
1257C2×C22⋊C4—1061no—
1258C2×C42—21no—
1259C2×C42—21no—
1260C2×C42—531no—
1261C2×C42—531no—
1262C2×C42—1061no—
1263C2×C42—1061no—
1264C2×C42—1061no—
1265C2×C42C22×D5311yescharacteristic
1266#107—531no—
1267#107—531no—
1268#107—531no—
1269#107—531no—
1270#107—531no—
1271#107—531no—
1272#107C22×D5311yescharacteristic
1273#107C22×D5311yescharacteristic
1274#106—531no—
1275#106—531no—
1276#106—531no—
1277#106—531no—
1278#106—531no—
1279#106—531no—
1280#106C22×D5311yescharacteristic
1281#106C22×D5311yescharacteristic
1282C4⋊C8—531no—
1283C4⋊C8—531no—
1284C4⋊C8—531no—
1285C4⋊C8—531no—
1286C4⋊C8—531no—
1287C4⋊C8—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#103—531no—
1297#103—531no—
1298#103—531no—
1299#103—531no—
1300#103C22×D5311yescharacteristic
1301#103C22×D5311yescharacteristic
1302#103C22×D5311yescharacteristic
1303#103C22×D5311yescharacteristic
1304#102—531no—
1305#102—531no—
1306#102—531no—
1307#102—531no—
1308#102—531no—
1309#102—531no—
1310#102—531no—
1311#102—531no—
1312#102—531no—
1313#102—531no—
1314#102—531no—
1315#102—531no—
1316#102C22×D5311yescharacteristic
1317#102C22×D5311yescharacteristic
1318#102C22×D5311yescharacteristic
1319#102C22×D5311yescharacteristic
1320C22⋊C8—531no—
1321C22⋊C8—531no—
1322C22⋊C8—531no—
1323C22⋊C8—531no—
1324C22⋊C8—531no—
1325C22⋊C8—531no—
1326C4×C8—531no—
1327C4×C8—531no—
1328C4×C8—531no—
1329C4×C8—531no—
1330C4×C8—531no—
1331C4×C8—531no—
1332C4×C8C22×D5311yescharacteristic
1333C4×C8C22×D5311yescharacteristic
1334C4×C8C22×D5311yescharacteristic
1335C4×C8C22×D5311yescharacteristic
1336C24—1061no—
1337#41—22no—
1338#41—22no—
1339#41—41no—
1340#41—41no—
1341#41—1064no—
1342#41—1062no—
1343#41—1062no—
1344#41—2124no—
1345#41—2121no—
1346#41—2121no—
1347C2×Q8—531no—
1348C2×Q8—531no—
1349C2×Q8—531no—
1350C2×Q8—1061no—
1351C2×Q8—1061no—
1352C2×Q8—1061no—
1353C2×Q8—1062no—
1354C2×Q8—2121no—
1355C2×Q8C23×D5311yescharacteristic
1356C2×Q8C23×D5311yescharacteristic
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—531no—
1360C2×D4—531no—
1361C2×D4—531no—
1362C2×D4—531no—
1363C2×D4—531no—
1364C2×D4—1061no—
1365C2×D4—1061no—
1366C2×D4—1061no—
1367C2×D4—1061no—
1368C2×D4—1061no—
1369C2×D4—1061no—
1370C2×D4—1062no—
1371C2×D4—1061no—
1372C2×D4—1061no—
1373C2×D4—1061no—
1374C2×D4—1061no—
1375C2×D4—1061no—
1376C2×D4—2121no—
1377C2×D4C23×D5311yescharacteristic
1378C2×D4C23×D5311yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—531no—
1386C22×C4—531no—
1387C22×C4—531no—
1388C22×C4—531no—
1389C22×C4—531no—
1390C22×C4—531no—
1391C22×C4—1061no—
1392C22×C4—1061no—
1393C22×C4—1061no—
1394C22×C4—1061no—
1395C22×C4—1061no—
1396C22×C4—1061no—
1397C22×C4—1061no—
1398C22×C4—1061no—
1399C22×C4—1061no—
1400C22×C4—1061no—
1401C22×C4—1061no—
1402C22×C4—2124no—
1403C22×C4D4×D5311yescharacteristic
1404C22×C4D4×D5311yescharacteristic
1405C22×C4C23×D5311yescharacteristic
1406Q16—22no—
1407Q16—1062no—
1408Q16—2121no—
1409Q16—2121no—
1410SD16—22no—
1411SD16—1062no—
1412SD16—1062no—
1413SD16—1062no—
1414SD16—1062no—
1415SD16—2121no—
1416SD16—2121no—
1417SD16#1171994514yescomplemented
1418D8—22no—
1419D8—1062no—
1420D8—2121no—
1421D8—2121no—
1422C2×C8—22no—
1423C2×C8—41no—
1424C2×C8—531no—
1425C2×C8—531no—
1426C2×C8—531no—
1427C2×C8—531no—
1428C2×C8—1062no—
1429C2×C8—1062no—
1430C2×C8—2121no—
1431C2×C8—2121no—
1432C2×C8C23×D5311yescharacteristic
1433C2×C8C23×D5311yescharacteristic
1434C2×C8C23×D5311yescharacteristic
1435C2×C8C23×D5311yescharacteristic
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—531no—
1441C4⋊C4—531no—
1442C4⋊C4—531no—
1443C4⋊C4—531no—
1444C4⋊C4—531no—
1445C4⋊C4—531no—
1446C4⋊C4—531no—
1447C4⋊C4—531no—
1448C4⋊C4—531no—
1449C4⋊C4—531no—
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⋊C4—1061no—
1466C4⋊C4—1061no—
1467C4⋊C4—1061no—
1468C4⋊C4—1061no—
1469C4⋊C4—1061no—
1470C4⋊C4—1061no—
1471C4⋊C4—1061no—
1472C4⋊C4—1061no—
1473C4⋊C4—1061no—
1474C4⋊C4—1061no—
1475C4⋊C4—1061no—
1476C4⋊C4C23×D5311yescharacteristic
1477C4⋊C4C23×D5311yescharacteristic
1478C4⋊C4C23×D5311yescharacteristic
1479C4⋊C4C23×D5311yescharacteristic
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—531no—
1487C22⋊C4—531no—
1488C22⋊C4—531no—
1489C22⋊C4—531no—
1490C22⋊C4—531no—
1491C22⋊C4—531no—
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⋊C4—1061no—
1516C22⋊C4—1061no—
1517C22⋊C4—1061no—
1518C22⋊C4—1061no—
1519C22⋊C4—1061no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—531no—
1527C42—531no—
1528C42—531no—
1529C42—531no—
1530C42—531no—
1531C42—531no—
1532C42—1061no—
1533C42—1061no—
1534C42—1061no—
1535C42—1061no—
1536C42—1061no—
1537C42—1061no—
1538C42—1061no—
1539C42—1061no—
1540C42D4×D5311yescharacteristic
1541C42D4×D5311yescharacteristic
1542C42C23×D5311yescharacteristic
1543C42C23×D5311yescharacteristic
1544C23—21no—
1545C23—21no—
1546C23—531no—
1547C23—531no—
1548C23—1061no—
1549C23—1061no—
1550C23—4241no—
1551C23—2122no—
1552C23—2122no—
1553C23C2×D4×D5311yescharacteristic
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—1062no—
1558Q8—1061no—
1559Q8—1061no—
1560Q8—1061no—
1561Q8—1061no—
1562Q8—4241no—
1563Q8—2122no—
1564Q8—2122no—
1565Q8C2×#1171994512yes—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—42no—
1570D4—42no—
1571D4—1062no—
1572D4—1062no—
1573D4—1062no—
1574D4—1061no—
1575D4—1061no—
1576D4—1061no—
1577D4—1061no—
1578D4—4241no—
1579D4—4241no—
1580D4—4241no—
1581D4—4241no—
1582D4—4241no—
1583D4—2122no—
1584D4—2122no—
1585D4—2122no—
1586D4—2122no—
1587D4—2122no—
1588D4—2122no—
1589D4C2×#1171994512yes—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—41no—
1600C2×C4—42no—
1601C2×C4—42no—
1602C2×C4—42no—
1603C2×C4—42no—
1604C2×C4—81no—
1605C2×C4—81no—
1606C2×C4—531no—
1607C2×C4—534no—
1608C2×C4—531no—
1609C2×C4—531no—
1610C2×C4—531no—
1611C2×C4—531no—
1612C2×C4—531no—
1613C2×C4—1062no—
1614C2×C4—1061no—
1615C2×C4—1061no—
1616C2×C4—1061no—
1617C2×C4—1061no—
1618C2×C4—1061no—
1619C2×C4—1061no—
1620C2×C4—1061no—
1621C2×C4—1061no—
1622C2×C4—1061no—
1623C2×C4—1061no—
1624C2×C4—4241no—
1625C2×C4—4241no—
1626C2×C4—4241no—
1627C2×C4—2121no—
1628C2×C4—2121no—
1629C2×C4—2122no—
1630C2×C4—2122no—
1631C2×C4—2122no—
1632C2×C4—2122no—
1633C2×C4—2122no—
1634C2×C4—2122no—
1635C2×C4—2122no—
1636C2×C4—2122no—
1637C2×C4C2×D4×D5311yescharacteristic
1638C2×C4C2×D4×D5311yescharacteristic
1639C2×C4C2×D4×D5311yescharacteristic
1640C2×C4C2×D4×D5311yescharacteristic
1641C2×C4C2×D4×D5311yescharacteristic
1642C2×C4C24×D5311yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—1061no—
1647C8—1061no—
1648C8—1061no—
1649C8—1061no—
1650C8C2×#1171994512yes—
1651C22—21no—
1652C22—21no—
1653C22—22no—
1654C22—21no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—532no—
1661C22—1061no—
1662C22—1061no—
1663C22—1061no—
1664C22—1061no—
1665C22—1061no—
1666C22—4244no—
1667C22—2121no—
1668C22—2121no—
1669C22—2121no—
1670C22—2121no—
1671C22—2121no—
1672C22—2121no—
1673C22C22×D4×D5311yescharacteristic
1674C4—21no—
1675C4—21no—
1676C4—22no—
1677C4—21no—
1678C4—21no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—532no—
1685C4—1061no—
1686C4—1061no—
1687C4—1061no—
1688C4—1061no—
1689C4—1061no—
1690C4—2121no—
1691C4—2121no—
1692C4—2121no—
1693C4—2121no—
1694C4—2121no—
1695C4—2121no—
1696C4#135×D5312yes—
1697C4C22×#1171994511yescharacteristic
1698C4#1681145911yescharacteristic
1699C2—41no—
1700C2—42no—
1701C2—81no—
1702C2—1062no—
1703C2—4241no—
1704C2—4241no—
1705C2—2121no—
1706C2D4×#1171994511yescharacteristic
1707C2C2×#135×D5311yescharacteristic
1708C2#2028948411yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC4×#135×C53C2
socleC22×C53C23×D4
hypercenterC4×#135D53
hypocenterC53#61428
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C4×#135

Complements

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

NH ≅ G/Ntype
1. #20288313C2semidirect
2. #20288277C2semidirect
3. #20287712C2semidirect
4. #20287591C2semidirect
5. #20287401C2semidirect
6. #20287376C2semidirect
7. #20287124C2semidirect
8. #20287099C2semidirect
9. #20287095C2semidirect
10. #20286661C2semidirect
11. #20286628C2semidirect
12. #20286607C2semidirect
13. #20286603C2semidirect
14. #20286570C2semidirect
15. #20286566C2semidirect
16. #20286439C2semidirect
17. #20286424C2semidirect
18. #20286416C2semidirect
19. #20285285C2semidirect
20. #20285281C2semidirect
21. #20285271C2semidirect
22. #20284752C2semidirect
23. #20284739C2semidirect
24. #20284733C2semidirect
25. #20284733C2semidirect
26. #20284729C2semidirect
27. #20284713C2semidirect
28. C8×#11719945C2semidirect
29. C4×#13133238C2semidirect
30. C4×SD16×D53C2semidirect
31. C4×#135×C53C2semidirect
35. #16811356C22semidirect
36. #16811349C22semidirect
39. #16811341C22semidirect
52. #16811292C22semidirect
65. #16811157C22semidirect
67. #16811155C22semidirect
70. C4×#11719949C22semidirect
77. #16811025C22semidirect
78. #16811023C22semidirect
79. #16811020C22semidirect
82. #16810994C22semidirect
85. #16810978C22semidirect
86. #16810976C22semidirect
87. #16810972C22semidirect
88. #16810968C22semidirect
89. #16810966C22semidirect
90. #16810964C22semidirect
91. #16810964C22semidirect
92. #16810963C22semidirect
97. #16810947C22semidirect
98. #16810945C22semidirect
101. #16810932C22semidirect
102. #16810930C22semidirect
103. #16810930C22semidirect
104. #16810929C22semidirect
105. #16810926C22semidirect
107. #16810923C22semidirect
109. #16810917C22semidirect
110. #16810916C22semidirect
113. #16810864C22semidirect
114. #16810863C22semidirect
121. #16810852C22semidirect
124. #16810849C22semidirect
127. #16810845C22semidirect
128. #16810844C22semidirect
133. #16810832C22semidirect
134. #16810831C22semidirect
139. #16810785C22semidirect
140. #16810784C22semidirect
149. C8×Dic106C22semidirect
150. C8×Dic106C22semidirect
151. C4×Dic212C22semidirect
152. C4×#11719925C22semidirect
153. C4×#11719925C22semidirect
154. #16810715C22semidirect
157. C4×#11719913C22semidirect
161. C4×#11719924C22semidirect
163. #16810710C22semidirect
165. C4×#11719923C22semidirect
175. C8×C22⋊D53C22semidirect
176. C8×C22⋊D53C22semidirect
177. #16810676C22semidirect
179. #16810674C22semidirect
180. #16810658C22semidirect
182. #16810618C22semidirect
187. C4×C8×D53C22semidirect
190. C4×#41×C53C22semidirect
191. C4×Q16×C53C22semidirect
192. C4×Q16×C53C22semidirect
195. C4×SD16×C53C22semidirect
196. C4×SD16×C53C22semidirect
199. C53×#427C22semidirect
201. C53×#416C22semidirect
202. C2×C4×C8×C53C22semidirect
553. SD16×C53#41semidirect
779. C4×D53#135semidirect
874. C4×#135D53semidirect
930. C4×#41C2×D53semidirect
1012. C4×Q16C2×D53semidirect
1013. C4×Q16C2×D53semidirect
1028. C4×SD16C2×D53semidirect
1029. C4×SD16C2×D53semidirect
1046. #427C2×D53semidirect
1051. #416C2×D53semidirect
1056. C2×C4×C8C2×D53semidirect
1057. C53#61428semidirect
1417. SD16#11719945semidirect

Maximal subgroups

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

subgroupindex
#202883132
#202882772
#202877122
#202875912
#202874012
#202873762
#202871242
#202870992
#202870952
#202866612
#202866282
#202866072
#202866032
#202865702
#202865662
#202864392
#202864242
#202864162
#202852852
#202852812
#202852712
#202847522
#202847392
#202847332
#202847292
#202847132
C8×#117199452
C4×#131332382
C4×SD16×D532
C4×#135×C532
#6142853