Finite Group Databasebeta

← #28266962

Subgroups — #28266962

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#20288717C211yesmaximal, characteristic, complemented
2#20288674C211yesmaximal, characteristic, complemented
3#20287754C211yesmaximal, characteristic, complemented
4#20287633C211yesmaximal, characteristic, complemented
5#20287408C211yesmaximal, characteristic, complemented
6#20287347C211yesmaximal, characteristic, complemented
7#20287294C211yesmaximal, characteristic, complemented
8#20287214C211yesmaximal, characteristic, complemented
9#20287210C211yesmaximal, characteristic, complemented
10#20286664C211yesmaximal, characteristic, complemented
11#20286660C211yesmaximal, characteristic, complemented
12#20286649C211yesmaximal, characteristic, complemented
13#20286571C211yesmaximal, characteristic, complemented
14#20286564C211yesmaximal, characteristic, complemented
15#20286523C211yesmaximal, characteristic, complemented
16#20286332C211yesmaximal, characteristic, complemented
17#20286262C211yesmaximal, characteristic, complemented
18#20286254C211yesmaximal, characteristic, complemented
19#20285394C211yesmaximal, characteristic, complemented
20#20285291C211yesmaximal, characteristic, complemented
21#20284981C211yesmaximal, characteristic, complemented
22#20284971C211yesmaximal, characteristic, complemented
23#20284957C211yesmaximal, characteristic, complemented
24#20284953C211yesmaximal, characteristic, complemented
25#20284864C211yesmaximal, characteristic, complemented
26#20284862C211yesmaximal, characteristic, complemented
27#20283686C211yesmaximal, characteristic, complemented
28#20283549C211yesmaximal, characteristic, complemented
29#20283540C211yesmaximal, characteristic, complemented
30C4×#13133238C211yesmaximal, characteristic, complemented
31C53×#3179C211yesmaximal, characteristic, complemented
32C2×#13133245C2211yescharacteristic
33C2×#13133241C2211yescharacteristic
34C2×#13133238C2211yescharacteristic
35#16811355C2211yescharacteristic
36#16811350C2211yescharacteristic, complemented
37#16811344C2211yescharacteristic
38#16811339C2211yescharacteristic
39#16811337C2211yescharacteristic
40#16811326C2211yescharacteristic, complemented
41#16811325C2211yescharacteristic, complemented
42#16811318—21no—
43#16811316—21no—
44#16811301—21no—
45#16811300—21no—
46#16811293C2211yescharacteristic, complemented
47#16811293C2211yescharacteristic, complemented
48#16811291—21no—
49#16811291C2211yescharacteristic
50#16811291C2211yescharacteristic, complemented
51#16811288C2211yescharacteristic
52#16811283—21no—
53#16811273C2211yescharacteristic
54#16811271—21no—
55#16811266C2211yescharacteristic
56#16811265—21no—
57#16811264C2211yescharacteristic
58#16811257C2211yescharacteristic
59#16811245C2211yescharacteristic
60#16811225—21no—
61#16811224C2211yescharacteristic, complemented
62#16811223—21no—
63#16811212—21no—
64#16811207—21no—
65#16811170C2211yescharacteristic
66#16811170C2211yescharacteristic, complemented
67#16811168—21no—
68#16811156—21no—
69#16811151C2211yescharacteristic
70#16811150—21no—
71#124×D53—21no—
72#16811103C2211yescharacteristic, complemented
73#16811102C2211yescharacteristic, complemented
74#16811097C2211yescharacteristic
75#16811095C2211yescharacteristic
76C4×#11719949C2211yescharacteristic
77C4×#11719947C2211yescharacteristic, complemented
78#16811030C2211yescharacteristic, complemented
79#16811027C2211yescharacteristic, complemented
80#16811009C2211yescharacteristic, complemented
81#16810998C2211yescharacteristic
82#16810979C2211yescharacteristic, complemented
83#16810968C2211yescharacteristic
84#16810968C2211yescharacteristic, complemented
85#16810968C2211yescharacteristic, complemented
86#16810957C2211yescharacteristic, complemented
87#16810956C2211yescharacteristic, complemented
88#16810950C2211yescharacteristic, complemented
89#16810949C2211yescharacteristic, complemented
90#16810949C2211yescharacteristic, complemented
91#16810946C2211yescharacteristic, complemented
92#16810946C2211yescharacteristic, complemented
93#16810945C2211yescharacteristic, complemented
94#16810944C2211yescharacteristic, complemented
95#16810944C2211yescharacteristic, complemented
96#16810938C2211yescharacteristic
97#16810934C2211yescharacteristic
98#16810925C2211yescharacteristic, complemented
99#16810922C2211yescharacteristic
100#16810920C2211yescharacteristic
101#16810920C2211yescharacteristic, complemented
102#16810917C2211yescharacteristic, complemented
103#16810915C2211yescharacteristic, complemented
104#16810907C2211yescharacteristic, complemented
105#16810906C2211yescharacteristic, complemented
106#16810902C2211yescharacteristic
107#16810901C2211yescharacteristic, complemented
108#16810901C2211yescharacteristic, complemented
109#16810900C2211yescharacteristic, complemented
110#16810877C2211yescharacteristic
111#16810866C2211yescharacteristic, complemented
112#16810860C2211yescharacteristic, complemented
113#16810858C2211yescharacteristic
114#16810858C2211yescharacteristic, complemented
115#16810858C2211yescharacteristic, complemented
116#16810856C2211yescharacteristic, complemented
117#16810855C2211yescharacteristic, complemented
118#16810848C2211yescharacteristic, complemented
119#16810842C2211yescharacteristic, complemented
120#16810840C2211yescharacteristic, complemented
121#16810835C2211yescharacteristic, complemented
122#16810822C2211yescharacteristic
123#16810821C2211yescharacteristic, complemented
124#16810817C2211yescharacteristic
125#16810817C2211yescharacteristic
126#16810816C2211yescharacteristic
127#16810816C2211yescharacteristic, complemented
128#16810815C2211yescharacteristic
129#16810815C2211yescharacteristic, complemented
130#16810783C2211yescharacteristic, complemented
131#16810782C2211yescharacteristic, complemented
132#16810771C2211yescharacteristic
133#16810769C2211yescharacteristic
134#16810769C2211yescharacteristic, complemented
135#16810767C2211yescharacteristic
136#16810766C2211yescharacteristic
137#16810765C2211yescharacteristic, complemented
138#16810758C2211yescharacteristic
139#16810756C2211yescharacteristic
140#16810756C2211yescharacteristic
141#16810755C2211yescharacteristic
142#16810751C2211yescharacteristic, complemented
143C8×Dic106C2211yescharacteristic, complemented
144#16810736C2211yescharacteristic
145#16810736C2211yescharacteristic, complemented
146#16810735C2211yescharacteristic, complemented
147#16810733C2211yescharacteristic
148#16810733C2211yescharacteristic, complemented
149#16810725C2211yescharacteristic
150#16810725C2211yescharacteristic, complemented
151#16810723C2211yescharacteristic, complemented
152#16810722C2211yescharacteristic
153#16810721C2211yescharacteristic, complemented
154C4×#11719925C2211yescharacteristic, complemented
155#16810715C2211yescharacteristic, complemented
156#16810714C2211yescharacteristic, complemented
157C4×#11719913C2211yescharacteristic
158C4×#11719913C2211yescharacteristic, complemented
159SD16×Dic53C2211yescharacteristic, complemented
160#16810710C2211yescharacteristic
161C4×D424C2211yescharacteristic
162C4×D424C2211yescharacteristic, complemented
163C4×#11719922C2211yescharacteristic
164C4×#11719922C2211yescharacteristic, complemented
165C4×#11719922C2211yescharacteristic, complemented
166#16810703C2211yescharacteristic
167#16810703C2211yescharacteristic
168#16810699C2211yescharacteristic
169#16810696C2211yescharacteristic, complemented
170#16810692C2211yescharacteristic, complemented
171C8×D212C2211yescharacteristic, complemented
172C8×C22⋊D53C2211yescharacteristic
173C8×C22⋊D53C2211yescharacteristic, complemented
174#16810685C2211yescharacteristic, complemented
175#16810684C2211yescharacteristic, complemented
176#16810678C2211yescharacteristic, complemented
177#16810665C2211yescharacteristic, complemented
178#16810664C2211yescharacteristic, complemented
179#16810658C2211yescharacteristic, complemented
180#16810620C2211yescharacteristic, complemented
181#16810618C2211yescharacteristic
182#16810616C2211yescharacteristic, complemented
183#16810616C2211yescharacteristic, complemented
184C2×#13133139C2211yescharacteristic
185#102×D53C2211yescharacteristic
186#16810577C2211yescharacteristic, complemented
187C4×C8×D53C2211yescharacteristic, complemented
188C53×#542C2211yescharacteristic
189C53×#540C2211yescharacteristic, complemented
190C53×#501C2211yescharacteristic, complemented
191C53×#496C2211yescharacteristic, complemented
192C53×#488C2211yescharacteristic, complemented
193C53×#486C2211yescharacteristic, complemented
194C53×#469C2211yescharacteristic
195C53×#468C2211yescharacteristic, complemented
196C53×#466C2211yescharacteristic
197C53×#465C2211yescharacteristic, complemented
198C53×#442C2211yescharacteristic, complemented
199C53×#440C2211yescharacteristic, complemented
200C4×SD16×C53C2211yescharacteristic, complemented
201C4×D8×C53C2211yescharacteristic, complemented
202C53×#405C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719945—21no—
205C2×#11719945—21no—
206C2×#11719945C2311yescharacteristic
207C2×#11719947—21no—
208C2×#11719947—21no—
209C2×#11719947C2311yescharacteristic
210C2×#11719947C2311yescharacteristic
211C2×Q8×D53—21no—
212C22×D212C2311yescharacteristic
213C2×D4×D53—21no—
214C2×D4×D53C2311yescharacteristic
215#13133245—24no—
216#13133241—24no—
217#13133238—24no—
218C2×#11719925C2311yescharacteristic
219C2×#11719913C2311yescharacteristic
220C2×#11719913C2311yescharacteristic
221C2×#11719923C2311yescharacteristic
222C2×#11719924C2311yescharacteristic
223C2×D424C2311yescharacteristic
224C2×D424C2311yescharacteristic
225C2×#11719922C2311yescharacteristic
226C2×#11719922C2311yescharacteristic
227C2×#11719922C2311yescharacteristic
228C2×#11719922C2311yescharacteristic
229C2×#11719922C2311yescharacteristic
230C2×#11719912C2311yescharacteristic
231C2×C8×D53C2311yescharacteristic
232C2×C8×D53C2311yescharacteristic
233C2×C8×D53C2311yescharacteristic
234#13133216—21no—
235#13133216C2311yescharacteristic
236#13133216C2311yescharacteristic
237#13133216C2311yescharacteristic
238#13133213—21no—
239#13133213—21no—
240#13133213—21no—
241#13133213C2311yescharacteristic
242#13133213C2311yescharacteristic
243#13133213C2311yescharacteristic
244#13133212—21no—
245#13133212—21no—
246#13133212D411yescharacteristic
247#13133211—21no—
248#13133210—21no—
249#13133210—21no—
250#13133210D411yescharacteristic
251#13133208C2311yescharacteristic
252#13133207—21no—
253#13133207—21no—
254#13133207D411yescharacteristic
255#13133206—21no—
256#13133206—21no—
257#13133206C2311yescharacteristic
258#13133205—21no—
259#13133204—21no—
260#13133203—21no—
261#13133203—21no—
262#13133203—21no—
263#13133203—21no—
264#13133203—21no—
265#13133203D411yescharacteristic
266#13133202—21no—
267#13133202—21no—
268#13133202—21no—
269#13133202D411yescharacteristic
270#13133201—21no—
271#13133201—21no—
272#13133200—21no—
273#13133199—21no—
274#13133199—21no—
275#13133199—21no—
276#13133199—21no—
277#13133199D411yescharacteristic
278#13133198—21no—
279#13133195—21no—
280#13133195—21no—
281#13133195—21no—
282#13133195D411yescharacteristic
283#13133194—21no—
284#13133193—21no—
285#13133193C2311yescharacteristic
286#13133192—21no—
287#13133192—21no—
288#13133192—21no—
289#13133192C2311yescharacteristic
290#13133192C2311yescharacteristic
291#13133192C2311yescharacteristic
292#13133192C2311yescharacteristic
293#13133191—21no—
294#13133190—21no—
295#13133190—21no—
296#13133190—21no—
297#13133190—21no—
298#13133190—21no—
299#13133190—21no—
300#13133190—21no—
301#13133190D411yescharacteristic
302#13133189—21no—
303#13133189—21no—
304#13133189—21no—
305#13133189—21no—
306#13133189—21no—
307#13133189—21no—
308#13133189—21no—
309#13133189—21no—
310#13133188—21no—
311#13133188C2311yescharacteristic
312#13133188C2311yescharacteristic
313#13133188C2311yescharacteristic
314#13133187—21no—
315#13133187—21no—
316#13133187—21no—
317#13133185—21no—
318Q8×Dic53C2311yescharacteristic
319C4×Dic106C2311yescharacteristic
320C4×Dic106C2311yescharacteristic
321C4×Dic106C2311yescharacteristic
322#13133182—21no—
323#13133182—21no—
324#13133182C2311yescharacteristic
325#13133182C2311yescharacteristic
326C4×D212—21no—
327C4×D212C2311yescharacteristic
328C4×D212C2311yescharacteristic
329C4×D212C2311yescharacteristic
330C4×D212C2311yescharacteristic
331C4×D212C2311yescharacteristic
332C4×D212C2311yescharacteristic
333C4×D212C2311yescharacteristic
334D4×Dic53—21no—
335D4×Dic53—21no—
336D4×Dic53C2311yescharacteristic
337D4×Dic53C2311yescharacteristic
338D4×Dic53C2311yescharacteristic
339#13133179—21no—
340#13133179—21no—
341#13133179—21no—
342#13133179—21no—
343#13133179C2311yescharacteristic
344#13133179C2311yescharacteristic
345C4×C22⋊D53—21no—
346C4×C22⋊D53—21no—
347C4×C22⋊D53—21no—
348C4×C22⋊D53—21no—
349C4×C22⋊D53—21no—
350C4×C22⋊D53C2311yescharacteristic
351C4×C22⋊D53C2311yescharacteristic
352#13133177—21no—
353#13133177—21no—
354#13133177—21no—
355#13133177—21no—
356#13133177—21no—
357#13133177—21no—
358#13133177—21no—
359#13133177—21no—
360#13133176C2311yescharacteristic
361#13133175—21no—
362#13133175—21no—
363#13133175—21no—
364#13133175C2311yescharacteristic
365#13133175C2311yescharacteristic
366#13133175C2311yescharacteristic
367#13133174C2311yescharacteristic
368#13133173—21no—
369#13133173—21no—
370#13133173—21no—
371C2×C4⋊Dic53C2311yescharacteristic
372C2×#11719919—21no—
373C4⋊C4×D53—21no—
374C4⋊C4×D53C2311yescharacteristic
375C2×#11719921—21no—
376C22⋊C4×D53—21no—
377C22⋊C4×D53—21no—
378C22⋊C4×D53—21no—
379C22⋊C4×D53—21no—
380C22⋊C4×D53—21no—
381C2×C4×Dic53—21no—
382C42×D53—21no—
383C42×D53C2311yescharacteristic
384#13133151C2311yescharacteristic
385#13133151C2311yescharacteristic
386#13133150C2311yescharacteristic
387#13133150C2311yescharacteristic
388#13133150C2311yescharacteristic
389#13133150C2311yescharacteristic
390#13133150C2311yescharacteristic
391#13133150C2311yescharacteristic
392#13133149C2311yescharacteristic
393#13133149C2311yescharacteristic
394#13133148C2311yescharacteristic
395#13133148C2311yescharacteristic
396C4⋊#88322C2311yescharacteristic
397C4⋊#88322C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133146C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133142C2311yescharacteristic
403#13133142C2311yescharacteristic
404#13133141C2311yescharacteristic
405#13133141C2311yescharacteristic
406#13133140C2311yescharacteristic
407#13133140C2311yescharacteristic
408#13133139C2311yescharacteristic
409#13133139C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133138C2311yescharacteristic
415#13133138C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425#13133137C2311yescharacteristic
426C22⋊#88322C2311yescharacteristic
427C22⋊#88322C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133129C2311yescharacteristic
430#13133129C2311yescharacteristic
431#13133129C2311yescharacteristic
432#13133128C2311yescharacteristic
433#13133127C2311yescharacteristic
434C4×#88322C2311yescharacteristic
435C8×Dic53C2311yescharacteristic
436C8×Dic53C2311yescharacteristic
437C8×Dic53C2311yescharacteristic
438C2×SD16×C53C2311yescharacteristic
439C2×SD16×C53C2311yescharacteristic
440C2×D8×C53C2311yescharacteristic
441C2×D8×C53C2311yescharacteristic
442C2×M16×C53C2311yescharacteristic
443C22×C8×C53C2311yescharacteristic
444C4⋊Q8×C53C2311yescharacteristic
445#127×C53C2311yescharacteristic
446#126×C53—21no—
447#125×C53C2311yescharacteristic
448#124×C53—21no—
449#124×C53C2311yescharacteristic
450#123×C53—21no—
451#123×C53—21no—
452#123×C53—21no—
453C22⋊Q8×C53—21no—
454C22⋊Q8×C53C2311yescharacteristic
455#121×C53—21no—
456#121×C53—21no—
457#121×C53C2311yescharacteristic
458#121×C53C2311yescharacteristic
459#121×C53C2311yescharacteristic
460C4×Q8×C53C2311yescharacteristic
461C4×D4×C53C2311yescharacteristic
462C4×D4×C53C2311yescharacteristic
463C4×D4×C53C2311yescharacteristic
464#117×C53C2311yescharacteristic
465#107×C53C2311yescharacteristic
466#107×C53C2311yescharacteristic
467#106×C53C2311yescharacteristic
468#106×C53C2311yescharacteristic
469#103×C53C2311yescharacteristic
470#103×C53C2311yescharacteristic
471#102×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477#97×C53C2311yescharacteristic
478#97×C53C2311yescharacteristic
479C4×C8×C53C2311yescharacteristic
480C4×C8×C53C2311yescharacteristic
481C23×D53—21no—
482C23×D53—21no—
483C2×Q8×C53—21no—
484C2×Q8×C53C2411yescharacteristic
485C2×D4×C53—21no—
486C2×D4×C53—21no—
487C2×D4×C53—21no—
488C2×D4×C53—21no—
489C2×D4×C53—21no—
490C2×D4×C53C2411yescharacteristic
491C2×D4×C53C2411yescharacteristic
492C2×D4×C53C2411yescharacteristic
493C22×C4×C53—21no—
494C22×C4×C53—21no—
495C22×C4×C53—21no—
496C22×C4×C53C2411yescharacteristic
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×Dic53—21no—
516C22×Dic53—21no—
517C22×Dic53—21no—
518#11719949—22no—
519#11719949—41no—
520Q8×D53—82no—
521#11719947—22no—
522#11719947—22no—
523#11719947—41no—
524#11719947—41no—
525#11719947—82no—
526#11719947—82no—
527D4×D53—22no—
528D4×D53—41no—
529D4×D53—82no—
530#11719945—22no—
531#11719945—41no—
532#11719945—82no—
533#11719945—82no—
534C2×D212—22no—
535C2×D212—21no—
536C2×D212—21no—
537C2×D212—21no—
538C2×D212—21no—
539C2×D212—21no—
540C2×D212—21no—
541C2×D212—41no—
542C2×D212C2×D411yescharacteristic
543C2×D212C2411yescharacteristic
544C2×D212C2411yescharacteristic
545C2×D212C2411yescharacteristic
546C2×C4×D53—21no—
547C2×C4×D53—21no—
548C2×C4×D53—21no—
549C2×C4×D53—21no—
550C2×C4×D53—21no—
551C2×C4×D53—21no—
552C2×C4×D53—21no—
553C2×C4×D53—21no—
554C2×C4×D53—21no—
555C2×C4×D53—21no—
556C2×C4×D53—21no—
557C2×C4×D53C2×D411yescharacteristic
558C2×C4×D53C2×D411yescharacteristic
559C2×C4×D53C2411yescharacteristic
560C2×C4×D53C2411yescharacteristic
561C2×Dic106—21no—
562C2×Dic106—21no—
563C2×Dic106—21no—
564C2×Dic106C2×D411yescharacteristic
565C2×Dic106C2411yescharacteristic
566SD16×C53—22no—
567SD16×C53—41no—
568D8×C53—22no—
569D8×C53—41no—
570M16×C53—22no—
571C2×C8×C53—41no—
572C2×C8×C53C2411yescharacteristic
573C2×C8×C53C2411yescharacteristic
574C2×C8×C53C2411yescharacteristic
575C2×C8×C53C2411yescharacteristic
576C4⋊C4×C53—21no—
577C4⋊C4×C53—21no—
578C4⋊C4×C53—21no—
579C4⋊C4×C53—21no—
580C4⋊C4×C53—21no—
581C4⋊C4×C53C2×D411yescharacteristic
582C4⋊C4×C53C2×D411yescharacteristic
583C4⋊C4×C53C2411yescharacteristic
584C4⋊C4×C53C2411yescharacteristic
585C4⋊C4×C53C2411yescharacteristic
586C4⋊C4×C53C2411yescharacteristic
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×C53—21no—
594C22⋊C4×C53—21no—
595C22⋊C4×C53—21no—
596C22⋊C4×C53C2×D411yescharacteristic
597C22⋊C4×C53C2×D411yescharacteristic
598C42×C53—21no—
599C42×C53C2411yescharacteristic
600C42×C53C2411yescharacteristic
601C22⋊Dic53—21no—
602C22⋊Dic53—21no—
603C22⋊Dic53—21no—
604C22⋊Dic53—21no—
605C22⋊Dic53—21no—
606C22⋊Dic53—21no—
607C22⋊Dic53—21no—
608C22⋊Dic53C2×D411yescharacteristic
609C22⋊Dic53C2×D411yescharacteristic
610#11719925—22no—
611#11719924—41no—
612#11719923—22no—
613#11719922—22no—
614#11719922—22no—
615#11719922—41no—
616#11719922—41no—
617#11719922—41no—
618#11719921—21no—
619#11719921—21no—
620#11719921—21no—
621#11719921—21no—
622#11719921—21no—
623#11719921—21no—
624#11719921—21no—
625#11719921—21no—
626#11719921—21no—
627#11719921—21no—
628#11719921—21no—
629#11719921—21no—
630#11719921—21no—
631#11719921—21no—
632#11719921—21no—
633#11719921—21no—
634#11719921—21no—
635#11719921—21no—
636#11719921C2×D411yescharacteristic
637#11719921C2×D411yescharacteristic
638#11719921C2×D411yescharacteristic
639#11719921C2×D411yescharacteristic
640#11719921C2×D411yescharacteristic
641#11719921C2×D411yescharacteristic
642C4⋊Dic53—21no—
643C4⋊Dic53—21no—
644C4⋊Dic53—21no—
645C4⋊Dic53C2×D411yescharacteristic
646C4⋊Dic53C2×D411yescharacteristic
647C4⋊Dic53C2411yescharacteristic
648C4⋊Dic53C2411yescharacteristic
649C4⋊Dic53C2411yescharacteristic
650C4⋊Dic53C2411yescharacteristic
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#11719919—21no—
660#11719919—21no—
661#11719919C2×D411yescharacteristic
662#11719919C2×D411yescharacteristic
663#11719919C2×D411yescharacteristic
664#11719919C2×D411yescharacteristic
665#11719919C2×D411yescharacteristic
666#11719919C2×D411yescharacteristic
667C4×Dic53—21no—
668C4×Dic53—21no—
669C4×Dic53—21no—
670C4×Dic53—21no—
671C4×Dic53—21no—
672C4×Dic53—21no—
673C4×Dic53—21no—
674C4×Dic53—21no—
675C4×Dic53—21no—
676C4×Dic53C2×D411yescharacteristic
677C4×Dic53C2×D411yescharacteristic
678C4×Dic53C2411yescharacteristic
679C4×Dic53C2411yescharacteristic
680C2×#88322C2411yescharacteristic
681C2×#88322C2411yescharacteristic
682C2×#88322C2411yescharacteristic
683C2×#88322C2411yescharacteristic
684D424—22no—
685D424—22no—
686#11719913—22no—
687#11719913#4114yescomplemented
688#11719912—22no—
689C8×D53—22no—
690C8×D53—41no—
691C8×D53—41no—
692C23×C53—21no—
693C23×C53—21no—
694C23×C53—21no—
695C23×C53C22×D411yescharacteristic
696C22×D53—21no—
697C22×D53—21no—
698C22×D53—21no—
699C22×D53—42no—
700C22×D53—42no—
701C22×D53—81no—
702C22×D53—81no—
703C22×D53—81no—
704C22×D53—81no—
705C22×D53C22×D411yescharacteristic
706C22×D53C22×D411yescharacteristic
707Q8×C53—21no—
708Q8×C53—21no—
709Q8×C53—81no—
710D4×C53—21no—
711D4×C53—21no—
712D4×C53—21no—
713D4×C53—21no—
714D4×C53—21no—
715D4×C53—21no—
716D4×C53—81no—
717D4×C53—81no—
718D4×C53—81no—
719D4×C53—81no—
720D4×C53—81no—
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—21no—
728C2×C4×C53—81no—
729C2×C4×C53—81no—
730C2×C4×C53—81no—
731C2×C4×C53C22×D411yescharacteristic
732C2×C4×C53C22×D411yescharacteristic
733C2×C4×C53C22×D411yescharacteristic
734C2×C4×C53C22×D411yescharacteristic
735C2×C4×C53C22×D411yescharacteristic
736C2×C4×C53C2511yescharacteristic
737C22⋊D53—22no—
738C22⋊D53—41no—
739C22⋊D53—42no—
740C22⋊D53—42no—
741C22⋊D53—42no—
742C22⋊D53—42no—
743C22⋊D53—42no—
744C22⋊D53—42no—
745C22⋊D53—81no—
746C22⋊D53—81no—
747C22⋊D53—81no—
748C22⋊D53—81no—
749C22⋊D53—81no—
750C22⋊D53—81no—
751C22⋊D53—81no—
752C2×Dic53—21no—
753C2×Dic53—21no—
754C2×Dic53—21no—
755C2×Dic53—21no—
756C2×Dic53—21no—
757C2×Dic53—42no—
758C2×Dic53—42no—
759C2×Dic53—42no—
760C2×Dic53—81no—
761C2×Dic53—81no—
762C2×Dic53—81no—
763C2×Dic53C22×D411yescharacteristic
764C2×Dic53C22×D411yescharacteristic
765C2×Dic53C22×D411yescharacteristic
766C2×Dic53C22×D411yescharacteristic
767C2×Dic53C22×D411yescharacteristic
768C2×Dic53C22×D411yescharacteristic
769D212—21no—
770D212—21no—
771D212—21no—
772D212—21no—
773D212—21no—
774D212—41no—
775D212—42no—
776D212—42no—
777D212—81no—
778D212—81no—
779D212—81no—
780D212—81no—
781D212C2×#4112yes—
782C4×D53—21no—
783C4×D53—21no—
784C4×D53—21no—
785C4×D53—21no—
786C4×D53—22no—
787C4×D53—41no—
788C4×D53—42no—
789C4×D53—42no—
790C4×D53—42no—
791C4×D53—81no—
792C4×D53—81no—
793C4×D53—81no—
794C4×D53—81no—
795C4×D53—81no—
796C4×D53—81no—
797C4×D53—81no—
798C4×D53—81no—
799Dic106—21no—
800Dic106—22no—
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—41no—
818C22×C53—41no—
819C22×C53—41no—
820C22×C53—41no—
821C22×C53—41no—
822C22×C53—41no—
823C22×C53—41no—
824C22×C53—41no—
825C22×C53—41no—
826C22×C53C23×D411yescharacteristic
827C2×D53—21no—
828C2×D53—21no—
829C2×D53—21no—
830C2×D53—21no—
831C2×D53—22no—
832C2×D53—21no—
833C2×D53—21no—
834C2×D53—41no—
835C2×D53—41no—
836C2×D53—41no—
837C2×D53—41no—
838C2×D53—41no—
839C2×D53—41no—
840C2×D53—41no—
841C2×D53—41no—
842C2×D53—162no—
843C2×D53—162no—
844C4×C53—21no—
845C4×C53—21no—
846C4×C53—21no—
847C4×C53—21no—
848C4×C53—21no—
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—22no—
859Dic53—21no—
860Dic53—21no—
861Dic53—21no—
862Dic53—41no—
863Dic53—41no—
864Dic53—41no—
865Dic53—41no—
866Dic53#57612yes—
867#3517—531no—
868#3514—531no—
869#3399—531no—
870#3386—531no—
871#3365—531no—
872#3358—531no—
873#3353—531no—
874#3347—531no—
875#3347—531no—
876#3305—531no—
877#3305—531no—
878#3304—531no—
879#3297—531no—
880#3297—531no—
881#3294—531no—
882#3274—531no—
883#3268—531no—
884#3268—531no—
885#3179—531no—
886#3179D5311yescharacteristic, complemented
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—81no—
900C2×C53—81no—
901C2×C53—81no—
902C2×C53D4×#4111yescharacteristic
903C2×C53C2×#57611yescharacteristic
904C2×C53#358411yescharacteristic
905D53—41no—
906D53—41no—
907D53—42no—
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#555—531no—
918#553—531no—
919#553—531no—
920#553—1061no—
921#553—1061no—
922#551—1061no—
923#551—1061no—
924#550—531no—
925#550—531no—
926#550—531no—
927#550—531no—
928#550—1061no—
929D4×Q8—531no—
930#548—1061no—
931#547—531no—
932#547—1061no—
933#546—531no—
934#546—531no—
935#546—1061no—
936D42—531no—
937#542—531no—
938#542C2×D5311yescharacteristic
939#540—531no—
940#540—1061no—
941#540—1061no—
942#540C2×D5311yescharacteristic, complemented
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#496C2×D5311yescharacteristic, complemented
963#493—531no—
964#488—531no—
965#488C2×D5311yescharacteristic, complemented
966#486—531no—
967#486—531no—
968#486—531no—
969#486C2×D5311yescharacteristic, complemented
970#484—531no—
971#484—531no—
972#482—531no—
973#482—531no—
974#482—531no—
975#482—531no—
976#482—531no—
977#482—531no—
978#482—531no—
979#482—531no—
980#480—531no—
981#480—531no—
982#478—531no—
983#478—531no—
984#478—531no—
985#478—531no—
986#477—531no—
987#477—531no—
988#475—531no—
989#475—531no—
990#474—531no—
991#474—531no—
992#474—531no—
993#474—531no—
994#469—531no—
995#469C2×D5311yescharacteristic
996#468—531no—
997#468C2×D5311yescharacteristic, complemented
998#466—531no—
999#466—531no—
1000#466—531no—
1001#466—531no—
1002#466—531no—
1003#466C2×D5311yescharacteristic
1004#465—531no—
1005#465C2×D5311yescharacteristic, complemented
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#440C2×D5311yescharacteristic, complemented
1044C4×Q16—531no—
1045C4×Q16—531no—
1046C4×SD16—531no—
1047C4×SD16—531no—
1048C4×SD16—531no—
1049C4×SD16—531no—
1050C4×SD16—531no—
1051C4×SD16C2×D5311yescharacteristic, complemented
1052C4×D8—531no—
1053C4×D8—531no—
1054C4×D8—531no—
1055C4×D8—531no—
1056C4×D8—531no—
1057C4×D8—531no—
1058C4×D8—531no—
1059C4×D8C2×D5311yescharacteristic, complemented
1060#436—531no—
1061#435—531no—
1062#435—531no—
1063C8×D4—531no—
1064C8×D4—531no—
1065C8×D4—531no—
1066#433—531no—
1067#433—531no—
1068#432—531no—
1069#428—531no—
1070#428—531no—
1071#427—531no—
1072#416—531no—
1073#416—531no—
1074#416—531no—
1075#416—531no—
1076C2×#102—531no—
1077C2×#102—531no—
1078#405—531no—
1079#405C2×D5311yescharacteristic, complemented
1080C2×C4×C8—531no—
1081C53#6149411yescharacteristic, complemented, Sylow
1082C2×#41—531no—
1083C2×#41—531no—
1084C2×#41—531no—
1085C2×#41—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×SD16C22×D5311yescharacteristic
1103C2×SD16C22×D5311yescharacteristic
1104C2×D8—531no—
1105C2×D8—531no—
1106C2×D8—531no—
1107C2×D8—531no—
1108C2×D8—531no—
1109C2×D8—531no—
1110C2×D8—531no—
1111C2×D8C22×D5311yescharacteristic
1112C2×D8C22×D5311yescharacteristic
1113C2×M16—531no—
1114C2×M16C22×D5311yescharacteristic
1115C22×C8—531no—
1116C22×C8—531no—
1117C22×C8—531no—
1118C22×C8C22×D5311yescharacteristic
1119C4⋊Q8—531no—
1120C4⋊Q8—531no—
1121C4⋊Q8—531no—
1122C4⋊Q8—1061no—
1123C4⋊Q8C22×D5311yescharacteristic
1124#127—531no—
1125#127—531no—
1126#127—531no—
1127#127—1061no—
1128#127—1061no—
1129#127—1061no—
1130#127C22×D5311yescharacteristic
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—531no—
1146#124—531no—
1147#124—1061no—
1148#124—1061no—
1149#124—1061no—
1150#124—1061no—
1151#124—1061no—
1152#124—1061no—
1153#124—1061no—
1154#124—1061no—
1155#124—1061no—
1156#124C22×D5311yescharacteristic
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—531no—
1161#123—531no—
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—21no—
1174C22⋊Q8—531no—
1175C22⋊Q8—531no—
1176C22⋊Q8—1061no—
1177C22⋊Q8—1061no—
1178C22⋊Q8—1061no—
1179C22⋊Q8—1061no—
1180C22⋊Q8—1061no—
1181C22⋊Q8C22×D5311yescharacteristic
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—531no—
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#121—1061no—
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—1061no—
1226C4×Q8—1061no—
1227C4×Q8C22×D5311yescharacteristic
1228C4×D4—531no—
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—1061no—
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—531no—
1266#117—531no—
1267#117—531no—
1268#117—531no—
1269#117—531no—
1270#117—1061no—
1271#117—1061no—
1272#117—1061no—
1273#117—1061no—
1274#117—1061no—
1275#117—1061no—
1276#117C22×D5311yescharacteristic
1277C2×C4⋊C4—531no—
1278C2×C4⋊C4—531no—
1279C2×C4⋊C4—1061no—
1280C2×C4⋊C4—1061no—
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#107—531no—
1296#107—531no—
1297#107—531no—
1298#107C22×D5311yescharacteristic
1299#107C22×D5311yescharacteristic
1300#106—531no—
1301#106—531no—
1302#106—531no—
1303#106—531no—
1304#106C22×D5311yescharacteristic
1305#106C22×D5311yescharacteristic
1306C4⋊C8—531no—
1307C4⋊C8—531no—
1308C4⋊C8—531no—
1309C4⋊C8—531no—
1310C4⋊C8—531no—
1311C4⋊C8—531no—
1312#103—531no—
1313#103—531no—
1314#103—531no—
1315#103—531no—
1316#103—531no—
1317#103—531no—
1318#103C22×D5311yescharacteristic
1319#103C22×D5311yescharacteristic
1320#102—531no—
1321#102—531no—
1322#102—531no—
1323#102—531no—
1324#102—531no—
1325#102—531no—
1326#102—531no—
1327#102—531no—
1328#102—531no—
1329#102—531no—
1330#102—531no—
1331#102—531no—
1332#102—531no—
1333#102—531no—
1334#102—531no—
1335#102—531no—
1336#102—531no—
1337#102—531no—
1338#102C22×D5311yescharacteristic
1339#102C22×D5311yescharacteristic
1340#102C22×D5311yescharacteristic
1341#102C22×D5311yescharacteristic
1342#102C22×D5311yescharacteristic
1343#102C22×D5311yescharacteristic
1344C22⋊C8—531no—
1345C22⋊C8—531no—
1346C22⋊C8—531no—
1347C22⋊C8—531no—
1348C22⋊C8—531no—
1349C22⋊C8—531no—
1350#97—531no—
1351#97—531no—
1352#97C22×D5311yescharacteristic
1353#97C22×D5311yescharacteristic
1354C4×C8—531no—
1355C4×C8—531no—
1356C4×C8—531no—
1357C4×C8—531no—
1358C4×C8C22×D5311yescharacteristic
1359C4×C8C22×D5311yescharacteristic
1360C24—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—1061no—
1378C2×Q8—1061no—
1379C2×Q8—1061no—
1380C2×Q8—4242no—
1381C2×Q8C23×D5311yescharacteristic
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—531no—
1388C2×D4—531no—
1389C2×D4—531no—
1390C2×D4—531no—
1391C2×D4—531no—
1392C2×D4—531no—
1393C2×D4—1062no—
1394C2×D4—1061no—
1395C2×D4—1061no—
1396C2×D4—1061no—
1397C2×D4—1061no—
1398C2×D4—1061no—
1399C2×D4—1061no—
1400C2×D4—1061no—
1401C2×D4—1061no—
1402C2×D4—1061no—
1403C2×D4—1061no—
1404C2×D4—1061no—
1405C2×D4—1061no—
1406C2×D4—1062no—
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×D4C23×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—531no—
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×C4—1061no—
1444C22×C4C23×D5311yescharacteristic
1445Q16—1062no—
1446SD16—22no—
1447SD16—41no—
1448SD16—534no—
1449SD16—1062no—
1450SD16—1062no—
1451SD16—2121no—
1452D8—22no—
1453D8—41no—
1454D8—1062no—
1455D8—1062no—
1456D8—1062no—
1457D8—1062no—
1458D8—2121no—
1459D8—2121no—
1460D8—2121no—
1461M16—22no—
1462M16—1062no—
1463C2×C8—41no—
1464C2×C8—531no—
1465C2×C8—531no—
1466C2×C8—531no—
1467C2×C8—531no—
1468C2×C8—1062no—
1469C2×C8—2121no—
1470C2×C8—2121no—
1471C2×C8C23×D5311yescharacteristic
1472C2×C8C23×D5311yescharacteristic
1473C2×C8C23×D5311yescharacteristic
1474C2×C8C23×D5311yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
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—531no—
1491C4⋊C4—531no—
1492C4⋊C4—1061no—
1493C4⋊C4—1061no—
1494C4⋊C4—1061no—
1495C4⋊C4—1061no—
1496C4⋊C4—1061no—
1497C4⋊C4—1061no—
1498C4⋊C4—1061no—
1499C4⋊C4—1061no—
1500C4⋊C4—1061no—
1501C4⋊C4—1061no—
1502C4⋊C4—1061no—
1503C4⋊C4—1061no—
1504C4⋊C4—1061no—
1505C4⋊C4D4×D5311yescharacteristic
1506C4⋊C4D4×D5311yescharacteristic
1507C4⋊C4C23×D5311yescharacteristic
1508C4⋊C4C23×D5311yescharacteristic
1509C4⋊C4C23×D5311yescharacteristic
1510C4⋊C4C23×D5311yescharacteristic
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—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—531no—
1557C42—531no—
1558C42—531no—
1559C42—531no—
1560C42—1061no—
1561C42—1061no—
1562C42—1061no—
1563C42—1061no—
1564C42—1061no—
1565C42—1061no—
1566C42—1061no—
1567C42—1061no—
1568C42—1061no—
1569C42C23×D5311yescharacteristic
1570C42C23×D5311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—531no—
1575C23—531no—
1576C23—1061no—
1577C23—1061no—
1578C23—1061no—
1579C23—4241no—
1580C23—4241no—
1581C23—4241no—
1582C23—4241no—
1583C23—2122no—
1584C23—2122no—
1585C23C2×D4×D5311yescharacteristic
1586Q8—21no—
1587Q8—21no—
1588Q8—81no—
1589Q8—532no—
1590Q8—1062no—
1591Q8—1061no—
1592Q8—4241no—
1593Q8—2122no—
1594Q8—2122no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—81no—
1602D4—81no—
1603D4—81no—
1604D4—81no—
1605D4—81no—
1606D4—532no—
1607D4—1062no—
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—2121no—
1625D4—2122no—
1626D4—2122no—
1627D4—2122no—
1628D4—2122no—
1629D4—2121no—
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—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—531no—
1645C2×C4—531no—
1646C2×C4—531no—
1647C2×C4—531no—
1648C2×C4—531no—
1649C2×C4—531no—
1650C2×C4—1062no—
1651C2×C4—1061no—
1652C2×C4—1061no—
1653C2×C4—1061no—
1654C2×C4—1061no—
1655C2×C4—1061no—
1656C2×C4—1061no—
1657C2×C4—1061no—
1658C2×C4—1061no—
1659C2×C4—1061no—
1660C2×C4—4241no—
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—2121no—
1672C2×C4—2122no—
1673C2×C4—2122no—
1674C2×C4—2122no—
1675C2×C4—2122no—
1676C2×C4—2122no—
1677C2×C4—2122no—
1678C2×C4C2×D4×D5311yescharacteristic
1679C2×C4C2×D4×D5311yescharacteristic
1680C2×C4C2×D4×D5311yescharacteristic
1681C2×C4C2×D4×D5311yescharacteristic
1682C2×C4C2×D4×D5311yescharacteristic
1683C2×C4C24×D5311yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—1061no—
1688C8—1061no—
1689C8—1061no—
1690C8—1061no—
1691C8#41×D5312yes—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—8482no—
1705C22—8482no—
1706C22—1061no—
1707C22—1061no—
1708C22—1061no—
1709C22—1061no—
1710C22—1062no—
1711C22—1061no—
1712C22—1061no—
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—21no—
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—2121no—
1740C4—2121no—
1741C4—2121no—
1742C4—2121no—
1743C4C2×#41×D5311yescharacteristic
1744C4#1681145911yescharacteristic
1745C2—41no—
1746C2—81no—
1747C2—81no—
1748C2—81no—
1749C2—4241no—
1750C2—4241no—
1751C2—2121no—
1752C2—2122no—
1753C2—2121no—
1754C2#2028820111yescharacteristic
1755C2#576×D5311yescharacteristic
1756C2#2028948711yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3179C2
socleC22×C53C23×D4
hypercenter#3179D53
hypocenterC53#61494
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #117 ◁ #3179

Complements

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

NH ≅ G/Ntype
1. #20288717C2semidirect
2. #20288674C2semidirect
3. #20287754C2semidirect
4. #20287633C2semidirect
5. #20287408C2semidirect
6. #20287347C2semidirect
7. #20287294C2semidirect
8. #20287214C2semidirect
9. #20287210C2semidirect
10. #20286664C2semidirect
11. #20286660C2semidirect
12. #20286649C2semidirect
13. #20286571C2semidirect
14. #20286564C2semidirect
15. #20286523C2semidirect
16. #20286332C2semidirect
17. #20286262C2semidirect
18. #20286254C2semidirect
19. #20285394C2semidirect
20. #20285291C2semidirect
21. #20284981C2semidirect
22. #20284971C2semidirect
23. #20284957C2semidirect
24. #20284953C2semidirect
25. #20284864C2semidirect
26. #20284862C2semidirect
27. #20283686C2semidirect
28. #20283549C2semidirect
29. #20283540C2semidirect
30. C4×#13133238C2semidirect
31. C53×#3179C2semidirect
36. #16811350C22semidirect
40. #16811326C22semidirect
41. #16811325C22semidirect
46. #16811293C22semidirect
47. #16811293C22semidirect
50. #16811291C22semidirect
61. #16811224C22semidirect
66. #16811170C22semidirect
72. #16811103C22semidirect
73. #16811102C22semidirect
77. C4×#11719947C22semidirect
78. #16811030C22semidirect
79. #16811027C22semidirect
80. #16811009C22semidirect
82. #16810979C22semidirect
84. #16810968C22semidirect
85. #16810968C22semidirect
86. #16810957C22semidirect
87. #16810956C22semidirect
88. #16810950C22semidirect
89. #16810949C22semidirect
90. #16810949C22semidirect
91. #16810946C22semidirect
92. #16810946C22semidirect
93. #16810945C22semidirect
94. #16810944C22semidirect
95. #16810944C22semidirect
98. #16810925C22semidirect
101. #16810920C22semidirect
102. #16810917C22semidirect
103. #16810915C22semidirect
104. #16810907C22semidirect
105. #16810906C22semidirect
107. #16810901C22semidirect
108. #16810901C22semidirect
109. #16810900C22semidirect
111. #16810866C22semidirect
112. #16810860C22semidirect
114. #16810858C22semidirect
115. #16810858C22semidirect
116. #16810856C22semidirect
117. #16810855C22semidirect
118. #16810848C22semidirect
119. #16810842C22semidirect
120. #16810840C22semidirect
121. #16810835C22semidirect
123. #16810821C22semidirect
127. #16810816C22semidirect
129. #16810815C22semidirect
130. #16810783C22semidirect
131. #16810782C22semidirect
134. #16810769C22semidirect
137. #16810765C22semidirect
142. #16810751C22semidirect
143. C8×Dic106C22semidirect
145. #16810736C22semidirect
146. #16810735C22semidirect
148. #16810733C22semidirect
150. #16810725C22semidirect
151. #16810723C22semidirect
153. #16810721C22semidirect
154. C4×#11719925C22semidirect
155. #16810715C22semidirect
156. #16810714C22semidirect
158. C4×#11719913C22semidirect
159. SD16×Dic53C22semidirect
162. C4×D424C22semidirect
164. C4×#11719922C22semidirect
165. C4×#11719922C22semidirect
169. #16810696C22semidirect
170. #16810692C22semidirect
171. C8×D212C22semidirect
173. C8×C22⋊D53C22semidirect
174. #16810685C22semidirect
175. #16810684C22semidirect
176. #16810678C22semidirect
177. #16810665C22semidirect
178. #16810664C22semidirect
179. #16810658C22semidirect
180. #16810620C22semidirect
182. #16810616C22semidirect
183. #16810616C22semidirect
186. #16810577C22semidirect
187. C4×C8×D53C22semidirect
189. C53×#540C22semidirect
190. C53×#501C22semidirect
191. C53×#496C22semidirect
192. C53×#488C22semidirect
193. C53×#486C22semidirect
195. C53×#468C22semidirect
197. C53×#465C22semidirect
198. C53×#442C22semidirect
199. C53×#440C22semidirect
200. C4×SD16×C53C22semidirect
201. C4×D8×C53C22semidirect
202. C53×#405C22semidirect
687. #11719913#41semidirect
886. #3179D53semidirect
942. #540C2×D53semidirect
959. #501C2×D53semidirect
962. #496C2×D53semidirect
965. #488C2×D53semidirect
969. #486C2×D53semidirect
997. #468C2×D53semidirect
1005. #465C2×D53semidirect
1037. #442C2×D53semidirect
1043. #440C2×D53semidirect
1051. C4×SD16C2×D53semidirect
1059. C4×D8C2×D53semidirect
1079. #405C2×D53semidirect
1081. C53#61494semidirect

Maximal subgroups

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

subgroupindex
#202887172
#202886742
#202877542
#202876332
#202874082
#202873472
#202872942
#202872142
#202872102
#202866642
#202866602
#202866492
#202865712
#202865642
#202865232
#202863322
#202862622
#202862542
#202853942
#202852912
#202849812
#202849712
#202849572
#202849532
#202848642
#202848622
#202836862
#202835492
#202835402
C4×#131332382
C53×#31792
#6149453