Finite Group Databasebeta

← #28270323

Subgroups — #28270323

Order 13568.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289035C211yesmaximal, characteristic, complemented
2#20288384C211yesmaximal, characteristic, complemented
3#20286875C211yesmaximal, characteristic, complemented
4#20286732C211yesmaximal, characteristic, complemented
5#20286725C211yesmaximal, characteristic, complemented
6#20286702C211yesmaximal, characteristic, complemented
7#20286658C211yesmaximal, characteristic, complemented
8#20286598C211yesmaximal, characteristic, complemented
9#20286558C211yesmaximal, characteristic, complemented
10#20286524C211yesmaximal, characteristic, complemented
11#20286468C211yesmaximal, characteristic, complemented
12#20286422C211yesmaximal, characteristic, complemented
13#20286398C211yesmaximal, characteristic, complemented
14D8×C22⋊D53C211yesmaximal, characteristic, complemented
15#20286259C211yesmaximal, characteristic, complemented
16#20286248C211yesmaximal, characteristic, complemented
17#20286210C211yesmaximal, characteristic, complemented
18#20286195C211yesmaximal, characteristic, complemented
19#20285807C211yesmaximal, characteristic, complemented
20#20285763C211yesmaximal, characteristic, complemented
21#20285614C211yesmaximal, characteristic, complemented
22#20285566C211yesmaximal, characteristic, complemented
23#20285482C211yesmaximal, characteristic, complemented
24#20285463C211yesmaximal, characteristic, complemented
25#20284970C211yesmaximal, characteristic, complemented
26#20284915C211yesmaximal, characteristic, complemented
27#20284017C211yesmaximal, characteristic, complemented
28#20283980C211yesmaximal, characteristic, complemented
29#20283933C211yesmaximal, characteristic, complemented
30#20283769C211yesmaximal, characteristic, complemented
31C2×C53×#449C211yesmaximal, characteristic, complemented
32C2×#13133263C2211yescharacteristic, complemented
33C2×#13133244C2211yescharacteristic, complemented
34C2×#13133241C2211yescharacteristic, complemented
35C2×#13133238C2211yescharacteristic, complemented
36C2×#13133237C2211yescharacteristic, complemented
37C2×#13133237C2211yescharacteristic, complemented
38C2×D8×D53C2211yescharacteristic, complemented
39#16811368—21no—
40#16811361—21no—
41#16811337C2211yescharacteristic, complemented
42#16811320C2211yescharacteristic, complemented
43#16811308C2211yescharacteristic, complemented
44#16811299—21no—
45#16811292C2211yescharacteristic, complemented
46#16811292C2211yescharacteristic, complemented
47#16811291C2211yescharacteristic, complemented
48#16811284C2211yescharacteristic
49#16811284C2211yescharacteristic, complemented
50#16811274C2211yescharacteristic, complemented
51#16811270C2211yescharacteristic, complemented
52#16811267C2211yescharacteristic, complemented
53#16811263—21no—
54#16811261—21no—
55#16811261—21no—
56#16811261C2211yescharacteristic, complemented
57#16811261C2211yescharacteristic, complemented
58D4×C22⋊D53—21no—
59D4×C22⋊D53—21no—
60D4×C22⋊D53C2211yescharacteristic
61D4×C22⋊D53C2211yescharacteristic, complemented
62D4×C22⋊D53C2211yescharacteristic, complemented
63#16811240C2211yescharacteristic, complemented
64#16811226C2211yescharacteristic, complemented
65#16811223—21no—
66#16811205—21no—
67#16811202C2211yescharacteristic, complemented
68#16811201—21no—
69#16811201C2211yescharacteristic, complemented
70#16811190—21no—
71#16811189C2211yescharacteristic, complemented
72#16811187—21no—
73#16811187C2211yescharacteristic, complemented
74#16811182—21no—
75#16811134—21no—
76#16811134C2211yescharacteristic
77#16811134C2211yescharacteristic, complemented
78C2×#13133191—21no—
79C2×#13133191C2211yescharacteristic, complemented
80#16811106C2211yescharacteristic, complemented
81#16811011C2211yescharacteristic, complemented
82#16811009C2211yescharacteristic, complemented
83#16811004C2211yescharacteristic, complemented
84#16810998C2211yescharacteristic, complemented
85#16810986C2211yescharacteristic, complemented
86#16810984C2211yescharacteristic, complemented
87#16810979C2211yescharacteristic, complemented
88#16810968C2211yescharacteristic, complemented
89#16810962C2211yescharacteristic, complemented
90#16810959C2211yescharacteristic, complemented
91#16810957C2211yescharacteristic, complemented
92#16810948C2211yescharacteristic, complemented
93#16810948C2211yescharacteristic, complemented
94#16810946C2211yescharacteristic, complemented
95#16810942C2211yescharacteristic, complemented
96#16810936C2211yescharacteristic, complemented
97#16810936C2211yescharacteristic, complemented
98#16810935C2211yescharacteristic, complemented
99#16810934C2211yescharacteristic, complemented
100#16810934C2211yescharacteristic, complemented
101#16810928C2211yescharacteristic, complemented
102#16810925C2211yescharacteristic, complemented
103#16810916C2211yescharacteristic, complemented
104#16810901C2211yescharacteristic, complemented
105#16810873C2211yescharacteristic, complemented
106#16810872C2211yescharacteristic, complemented
107#16810868C2211yescharacteristic, complemented
108#16810866C2211yescharacteristic, complemented
109#16810863C2211yescharacteristic, complemented
110#16810859C2211yescharacteristic, complemented
111#16810859C2211yescharacteristic, complemented
112#16810858C2211yescharacteristic, complemented
113#16810857C2211yescharacteristic, complemented
114#16810857C2211yescharacteristic, complemented
115#16810857C2211yescharacteristic, complemented
116#16810857C2211yescharacteristic, complemented
117#16810856C2211yescharacteristic, complemented
118#16810852C2211yescharacteristic, complemented
119#16810852C2211yescharacteristic, complemented
120#16810849C2211yescharacteristic, complemented
121#16810848C2211yescharacteristic, complemented
122#16810843C2211yescharacteristic, complemented
123#16810841C2211yescharacteristic, complemented
124#16810840C2211yescharacteristic, complemented
125#16810840C2211yescharacteristic, complemented
126#16810836C2211yescharacteristic, complemented
127#16810822C2211yescharacteristic, complemented
128#16810821C2211yescharacteristic, complemented
129#16810817C2211yescharacteristic, complemented
130#16810816C2211yescharacteristic, complemented
131#16810816C2211yescharacteristic, complemented
132#16810816C2211yescharacteristic, complemented
133#16810788C2211yescharacteristic, complemented
134#16810785C2211yescharacteristic, complemented
135#16810785C2211yescharacteristic, complemented
136#16810782C2211yescharacteristic, complemented
137#16810779C2211yescharacteristic, complemented
138#16810776C2211yescharacteristic, complemented
139#16810775C2211yescharacteristic, complemented
140#16810774C2211yescharacteristic, complemented
141#16810772C2211yescharacteristic, complemented
142#16810771C2211yescharacteristic, complemented
143#16810770C2211yescharacteristic, complemented
144#16810770C2211yescharacteristic, complemented
145#16810768C2211yescharacteristic, complemented
146#16810768C2211yescharacteristic, complemented
147#16810767C2211yescharacteristic, complemented
148#16810767C2211yescharacteristic, complemented
149#16810765C2211yescharacteristic, complemented
150#16810762C2211yescharacteristic, complemented
151#16810759C2211yescharacteristic, complemented
152#16810758C2211yescharacteristic, complemented
153#16810757C2211yescharacteristic, complemented
154#16810757C2211yescharacteristic, complemented
155#16810757C2211yescharacteristic, complemented
156#16810756C2211yescharacteristic, complemented
157#16810756C2211yescharacteristic, complemented
158#16810755C2211yescharacteristic, complemented
159#16810755C2211yescharacteristic, complemented
160#16810755C2211yescharacteristic, complemented
161#16810735C2211yescharacteristic, complemented
162#16810726C2211yescharacteristic, complemented
163#16810724C2211yescharacteristic, complemented
164#16810720C2211yescharacteristic, complemented
165#16810715C2211yescharacteristic, complemented
166SD16×Dic53C2211yescharacteristic, complemented
167D8×Dic53C2211yescharacteristic, complemented
168#16810703C2211yescharacteristic, complemented
169#16810694C2211yescharacteristic, complemented
170#16810694C2211yescharacteristic, complemented
171#16810691C2211yescharacteristic, complemented
172#16810691C2211yescharacteristic, complemented
173C8×C22⋊D53C2211yescharacteristic, complemented
174C8×C22⋊D53C2211yescharacteristic, complemented
175#16810686C2211yescharacteristic, complemented
176#16810686C2211yescharacteristic, complemented
177#16810681C2211yescharacteristic, complemented
178#16810681C2211yescharacteristic, complemented
179#16810626C2211yescharacteristic, complemented
180#16810623C2211yescharacteristic, complemented
181#16810619C2211yescharacteristic, complemented
182#16810619C2211yescharacteristic, complemented
183#16810618C2211yescharacteristic, complemented
184#102×D53C2211yescharacteristic, complemented
185#16810588C2211yescharacteristic, complemented
186#16810588C2211yescharacteristic, complemented
187C2×C22⋊#88322C2211yescharacteristic, complemented
188C22×#41×C53C2211yescharacteristic, complemented
189C22×SD16×C53C2211yescharacteristic, complemented
190C22×D8×C53C2211yescharacteristic, complemented
191C2×#121×C53C2211yescharacteristic, complemented
192C53×#449C2211yescharacteristic
193C53×#449C2211yescharacteristic, complemented
194C53×#449C2211yescharacteristic, complemented
195C53×#449C2211yescharacteristic, complemented
196C53×#449C2211yescharacteristic, complemented
197C53×#449C2211yescharacteristic, complemented
198C53×#449C2211yescharacteristic, complemented
199C53×#449C2211yescharacteristic, complemented
200C2×#103×C53C2211yescharacteristic, complemented
201C2×#102×C53C2211yescharacteristic, complemented
202C2×C22⋊C8×C53C2211yescharacteristic, complemented
203#13133263—42no—
204#13133263—42no—
205C2×#11719949C2311yescharacteristic
206C2×#11719949C2311yescharacteristic
207C2×#11719945—21no—
208C2×#11719945—21no—
209C2×#11719945C2311yescharacteristic
210C2×#11719945C2311yescharacteristic
211C2×#11719947C2311yescharacteristic
212C22×D212—21no—
213C22×D212C2311yescharacteristic
214C22×C22⋊D53—21no—
215C22×C22⋊D53—21no—
216C22×C22⋊D53—21no—
217C22×C22⋊D53—21no—
218C2×D4×D53—21no—
219C2×D4×D53—21no—
220C2×D4×D53C2311yescharacteristic
221C2×D4×D53C2311yescharacteristic
222C2×D4×D53C2311yescharacteristic
223#13133244—42no—
224#13133241—42no—
225#13133238—42no—
226#13133237—42no—
227#13133237—42no—
228C2×#11719925C2311yescharacteristic
229C2×#11719925C2311yescharacteristic
230C2×#11719913C2311yescharacteristic
231C2×#11719913C2311yescharacteristic
232C2×#11719923C2311yescharacteristic
233C2×#11719923C2311yescharacteristic
234C2×#11719924C2311yescharacteristic
235C2×#11719924C2311yescharacteristic
236C2×D424C2311yescharacteristic
237C2×D424C2311yescharacteristic
238C2×#11719922C2311yescharacteristic
239C2×#11719922C2311yescharacteristic
240C2×#11719922C2311yescharacteristic
241C2×#11719922C2311yescharacteristic
242C2×#11719922C2311yescharacteristic
243C2×#11719922C2311yescharacteristic
244D8×D53—42no—
245C2×#11719912C2311yescharacteristic
246C2×#11719912C2311yescharacteristic
247C22×#88322C2311yescharacteristic
248C22×#88322C2311yescharacteristic
249C2×C8×D53C2311yescharacteristic
250C2×C8×D53C2311yescharacteristic
251#13133216C2311yescharacteristic
252#13133213—21no—
253#13133213—21no—
254#13133213—21no—
255#13133213—21no—
256#13133213C2311yescharacteristic
257#13133213C2311yescharacteristic
258#13133213C2311yescharacteristic
259#13133212—21no—
260#13133210—21no—
261#13133210—21no—
262#13133208C2311yescharacteristic
263#13133207—21no—
264#13133206—21no—
265#13133206—21no—
266#13133206C2311yescharacteristic
267#13133206C2311yescharacteristic
268#13133204—21no—
269#13133204—21no—
270#13133204C2311yescharacteristic
271#13133203—21no—
272#13133203—21no—
273#13133202—21no—
274#13133201—21no—
275#13133200—21no—
276#13133200—21no—
277#13133200—21no—
278#13133200—21no—
279#13133200—21no—
280#13133200D411yescharacteristic
281#13133200D411yescharacteristic
282#13133199—21no—
283#13133199—21no—
284#13133198—21no—
285#13133198—21no—
286#13133198—21no—
287#13133197C2311yescharacteristic
288#13133196—21no—
289#13133196D411yescharacteristic
290#13133196D411yescharacteristic
291#13133196C2311yescharacteristic
292#13133196C2311yescharacteristic
293#13133195—21no—
294#13133194—21no—
295#13133194—21no—
296#13133193—21no—
297#13133193—21no—
298#13133193C2311yescharacteristic
299#13133193C2311yescharacteristic
300#13133192C2311yescharacteristic
301#13133191—21no—
302#13133191—21no—
303#13133191—21no—
304#13133191—21no—
305#13133191—21no—
306#13133191—21no—
307#13133191—21no—
308#13133191—21no—
309#13133191—21no—
310#13133191D411yescharacteristic
311#13133191D411yescharacteristic
312#13133191C2311yescharacteristic
313#13133191C2311yescharacteristic
314#13133191C2311yescharacteristic
315#13133191C2311yescharacteristic
316#13133191C2311yescharacteristic
317#13133191C2311yescharacteristic
318#13133190—21no—
319#13133190—21no—
320#13133189—21no—
321#13133189—21no—
322#13133189—21no—
323#13133189—21no—
324#13133189—21no—
325#13133189—21no—
326#13133189—21no—
327#13133189—21no—
328#13133189—21no—
329#13133189—21no—
330#13133189—21no—
331#13133189—21no—
332#13133188—21no—
333#13133188—21no—
334#13133188—21no—
335#13133188—21no—
336#13133188—21no—
337#13133188—21no—
338#13133188C2311yescharacteristic
339#13133188C2311yescharacteristic
340#13133188C2311yescharacteristic
341#13133188C2311yescharacteristic
342#13133187—21no—
343#13133186—21no—
344#13133186—21no—
345#13133186—21no—
346#13133186—21no—
347#13133186—21no—
348#13133186D411yescharacteristic
349#13133186D411yescharacteristic
350#13133185—21no—
351#13133185—21no—
352#13133185—21no—
353#13133185—21no—
354#13133185—21no—
355#13133185—21no—
356#13133185—21no—
357#13133185—21no—
358#13133185—21no—
359Q8×Dic53C2311yescharacteristic
360Q8×Dic53C2311yescharacteristic
361#13133182C2311yescharacteristic
362D4×Dic53—21no—
363D4×Dic53—21no—
364D4×Dic53C2311yescharacteristic
365D4×Dic53C2311yescharacteristic
366D4×Dic53C2311yescharacteristic
367D4×Dic53C2311yescharacteristic
368#13133179C2311yescharacteristic
369C4×C22⋊D53—21no—
370C4×C22⋊D53—21no—
371C4×C22⋊D53—21no—
372C4×C22⋊D53—21no—
373C4×C22⋊D53—21no—
374C4×C22⋊D53—21no—
375C4×C22⋊D53C2311yescharacteristic
376C4×C22⋊D53C2311yescharacteristic
377C4×C22⋊D53C2311yescharacteristic
378C4×C22⋊D53C2311yescharacteristic
379#13133177—21no—
380#13133177—21no—
381#13133176—21no—
382#13133176—21no—
383#13133176C2311yescharacteristic
384#13133176C2311yescharacteristic
385#13133175C2311yescharacteristic
386#13133173—21no—
387C2×C4⋊Dic53—21no—
388C2×C4⋊Dic53C2311yescharacteristic
389C4⋊C4×D53C2311yescharacteristic
390C2×C22⋊Dic53—21no—
391C2×#11719921—21no—
392C2×#11719921—21no—
393C2×#11719921—21no—
394C22⋊C4×D53—21no—
395#13133151C2311yescharacteristic
396#13133151C2311yescharacteristic
397#13133150C2311yescharacteristic
398#13133150C2311yescharacteristic
399#13133150C2311yescharacteristic
400#13133150C2311yescharacteristic
401#13133149C2311yescharacteristic
402#13133149C2311yescharacteristic
403#13133146C2311yescharacteristic
404#13133146C2311yescharacteristic
405#13133146C2311yescharacteristic
406#13133146C2311yescharacteristic
407#13133142C2311yescharacteristic
408#13133142C2311yescharacteristic
409#13133141C2311yescharacteristic
410#13133141C2311yescharacteristic
411#13133141C2311yescharacteristic
412#13133141C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133139C2311yescharacteristic
416#13133139C2311yescharacteristic
417#13133139C2311yescharacteristic
418#13133139C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133138C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133138C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133138C2311yescharacteristic
425#13133138C2311yescharacteristic
426#13133138C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429#13133137C2311yescharacteristic
430#13133137C2311yescharacteristic
431C22⋊#88322C2311yescharacteristic
432C22⋊#88322C2311yescharacteristic
433C22⋊#88322C2311yescharacteristic
434C22⋊#88322C2311yescharacteristic
435#13133129C2311yescharacteristic
436#13133129C2311yescharacteristic
437#13133129C2311yescharacteristic
438#13133129C2311yescharacteristic
439#13133127C2311yescharacteristic
440#13133127C2311yescharacteristic
441C8×Dic53C2311yescharacteristic
442C8×Dic53C2311yescharacteristic
443C2×#41×C53—21no—
444C2×#41×C53—21no—
445C2×#41×C53—42no—
446C2×#41×C53—42no—
447C2×#41×C53C2311yescharacteristic
448C2×#41×C53C2311yescharacteristic
449C2×#41×C53C2311yescharacteristic
450C2×#41×C53C2311yescharacteristic
451C22×Q8×C53C2311yescharacteristic
452C22×D4×C53—21no—
453C22×D4×C53—21no—
454C22×D4×C53C2311yescharacteristic
455C22×D4×C53C2311yescharacteristic
456C23×C4×C53—21no—
457C23×C4×C53C2311yescharacteristic
458C2×SD16×C53—42no—
459C2×SD16×C53C2311yescharacteristic
460C2×SD16×C53C2311yescharacteristic
461C2×SD16×C53C2311yescharacteristic
462C2×SD16×C53C2311yescharacteristic
463C2×D8×C53—42no—
464C2×D8×C53C2311yescharacteristic
465C2×D8×C53C2311yescharacteristic
466C2×D8×C53C2311yescharacteristic
467C2×D8×C53C2311yescharacteristic
468C22×C8×C53C2311yescharacteristic
469C22×C8×C53C2311yescharacteristic
470#121×C53—21no—
471#121×C53—21no—
472#121×C53C2311yescharacteristic
473#121×C53C2311yescharacteristic
474#121×C53C2311yescharacteristic
475#121×C53C2311yescharacteristic
476C2×C4⋊C4×C53C2311yescharacteristic
477C2×C22⋊C4×C53—21no—
478#103×C53C2311yescharacteristic
479#103×C53C2311yescharacteristic
480#103×C53C2311yescharacteristic
481#103×C53C2311yescharacteristic
482#102×C53C2311yescharacteristic
483#102×C53C2311yescharacteristic
484#102×C53C2311yescharacteristic
485#102×C53C2311yescharacteristic
486C22⋊C8×C53C2311yescharacteristic
487C22⋊C8×C53C2311yescharacteristic
488C22⋊C8×C53C2311yescharacteristic
489C22⋊C8×C53C2311yescharacteristic
490C24×C53—21no—
491C24×C53—21no—
492C24×C53C2×D411yescharacteristic
493C23×D53—21no—
494C23×D53—21no—
495C23×D53—21no—
496C23×D53—21no—
497#41×C53—22no—
498#41×C53—22no—
499#41×C53—22no—
500#41×C53—22no—
501#41×C53—41no—
502#41×C53—41no—
503#41×C53—41no—
504#41×C53—41no—
505#41×C53—44no—
506#41×C53—44no—
507C2×Q8×C53—21no—
508C2×Q8×C53—22no—
509C2×Q8×C53—41no—
510C2×Q8×C53C2411yescharacteristic
511C2×Q8×C53C2411yescharacteristic
512C2×D4×C53—21no—
513C2×D4×C53—22no—
514C2×D4×C53—21no—
515C2×D4×C53—21no—
516C2×D4×C53—21no—
517C2×D4×C53—21no—
518C2×D4×C53—21no—
519C2×D4×C53—21no—
520C2×D4×C53—21no—
521C2×D4×C53—21no—
522C2×D4×C53—21no—
523C2×D4×C53—41no—
524C2×D4×C53—41no—
525C2×D4×C53—41no—
526C2×D4×C53—44no—
527C2×D4×C53—82no—
528C2×D4×C53C2411yescharacteristic
529C2×D4×C53C2411yescharacteristic
530C2×D4×C53C2411yescharacteristic
531C2×D4×C53C2411yescharacteristic
532C22×C4×C53—21no—
533C22×C4×C53—21no—
534C22×C4×C53—21no—
535C22×C4×C53—21no—
536C22×C4×C53—21no—
537C22×C4×C53—21no—
538C22×C4×C53—41no—
539C22×C4×C53—41no—
540C22×C4×C53—44no—
541C22×C4×C53C2×D411yescharacteristic
542C22×C4×C53C2×D411yescharacteristic
543C22×C4×C53C2×D411yescharacteristic
544C22×C4×C53C2411yescharacteristic
545C22×C4×C53C2411yescharacteristic
546C22×C4×C53C2411yescharacteristic
547C2×C22⋊D53—21no—
548C2×C22⋊D53—21no—
549C2×C22⋊D53—21no—
550C2×C22⋊D53—21no—
551C2×C22⋊D53—21no—
552C2×C22⋊D53—21no—
553C2×C22⋊D53—21no—
554C2×C22⋊D53—21no—
555C2×C22⋊D53—21no—
556C2×C22⋊D53—21no—
557C2×C22⋊D53—21no—
558C2×C22⋊D53—21no—
559C2×C22⋊D53—21no—
560C2×C22⋊D53—21no—
561C2×C22⋊D53—21no—
562C2×C22⋊D53—21no—
563C2×C22⋊D53—21no—
564C2×C22⋊D53—21no—
565C2×C22⋊D53—21no—
566C2×C22⋊D53—21no—
567C2×C22⋊D53—21no—
568C2×C22⋊D53—82no—
569C2×C22⋊D53—82no—
570C2×C22⋊D53—82no—
571C2×C22⋊D53—82no—
572C2×C22⋊D53C2×D411yescharacteristic
573C2×C22⋊D53C2×D411yescharacteristic
574C2×C22⋊D53C2×D411yescharacteristic
575C2×C22⋊D53C2×D411yescharacteristic
576C2×C22⋊D53C2×D411yescharacteristic
577C2×C22⋊D53C2×D411yescharacteristic
578C22×Dic53—21no—
579C22×Dic53—21no—
580C22×Dic53—21no—
581C22×Dic53—21no—
582C22×Dic53—21no—
583C22×Dic53—21no—
584#11719949—22no—
585#11719949—22no—
586#11719949—41no—
587#11719949—41no—
588#11719947—41no—
589#11719947—41no—
590D4×D53—22no—
591D4×D53—22no—
592D4×D53—41no—
593D4×D53—41no—
594D4×D53—41no—
595D4×D53—41no—
596D4×D53—44no—
597D4×D53—44no—
598#11719945—41no—
599#11719945—41no—
600#11719945—41no—
601#11719945—41no—
602#11719945—44no—
603#11719945—82no—
604C2×D212—21no—
605C2×D212—21no—
606C2×D212—21no—
607C2×D212—21no—
608C2×D212—41no—
609C2×D212—41no—
610C2×D212—44no—
611C2×D212C2×D411yescharacteristic
612C2×D212C2411yescharacteristic
613C2×D212C2411yescharacteristic
614C2×D212C2411yescharacteristic
615C2×C4×D53—21no—
616C2×C4×D53—21no—
617C2×C4×D53—21no—
618C2×C4×D53—21no—
619C2×C4×D53—21no—
620C2×C4×D53C2411yescharacteristic
621C2×C4×D53C2411yescharacteristic
622C2×Dic106—21no—
623C2×Dic106C2×D411yescharacteristic
624C2×Dic106C2411yescharacteristic
625SD16×C53—22no—
626SD16×C53—22no—
627SD16×C53—41no—
628SD16×C53—41no—
629D8×C53—22no—
630D8×C53—22no—
631D8×C53—41no—
632D8×C53—41no—
633C2×C8×C53—41no—
634C2×C8×C53—41no—
635C2×C8×C53C2411yescharacteristic
636C2×C8×C53C2411yescharacteristic
637C2×C8×C53C2411yescharacteristic
638C2×C8×C53C2411yescharacteristic
639C4⋊C4×C53—21no—
640C4⋊C4×C53C2411yescharacteristic
641C4⋊C4×C53C2411yescharacteristic
642C22⋊C4×C53—21no—
643C22⋊C4×C53—21no—
644C22⋊C4×C53—21no—
645C22⋊C4×C53—21no—
646C22⋊Dic53—21no—
647C22⋊Dic53—21no—
648C22⋊Dic53—21no—
649C22⋊Dic53—21no—
650C22⋊Dic53—21no—
651C22⋊Dic53—21no—
652C22⋊Dic53—21no—
653C22⋊Dic53—21no—
654C22⋊Dic53—21no—
655C22⋊Dic53—21no—
656C22⋊Dic53—21no—
657C22⋊Dic53—21no—
658C22⋊Dic53—21no—
659C22⋊Dic53C2×D411yescharacteristic
660C22⋊Dic53C2×D411yescharacteristic
661C22⋊Dic53C2×D411yescharacteristic
662C22⋊Dic53C2×D411yescharacteristic
663C22⋊Dic53C2×D411yescharacteristic
664C22⋊Dic53C2×D411yescharacteristic
665#11719925—22no—
666#11719925—41no—
667#11719924—22no—
668#11719924—41no—
669#11719923—22no—
670#11719923—41no—
671#11719922—22no—
672#11719922—41no—
673#11719922—41no—
674#11719922—41no—
675#11719922—41no—
676#11719922—41no—
677#11719921—21no—
678#11719921—21no—
679#11719921—21no—
680#11719921—21no—
681#11719921—21no—
682#11719921—21no—
683#11719921—21no—
684#11719921—21no—
685#11719921—21no—
686#11719921—21no—
687#11719921—21no—
688#11719921—21no—
689#11719921—21no—
690#11719921—21no—
691#11719921—21no—
692#11719921—21no—
693#11719921C2×D411yescharacteristic
694#11719921C2×D411yescharacteristic
695#11719921C2×D411yescharacteristic
696#11719921C2×D411yescharacteristic
697C4⋊Dic53—21no—
698C4⋊Dic53—21no—
699C4⋊Dic53—21no—
700C4⋊Dic53—21no—
701C4⋊Dic53—21no—
702C4⋊Dic53C2×D411yescharacteristic
703C4⋊Dic53C2×D411yescharacteristic
704C4⋊Dic53C2411yescharacteristic
705C4⋊Dic53C2411yescharacteristic
706C4⋊Dic53C2411yescharacteristic
707C4⋊Dic53C2411yescharacteristic
708#11719919—21no—
709#11719919—21no—
710#11719919—21no—
711#11719919—21no—
712#11719919—21no—
713#11719919—21no—
714#11719919—21no—
715#11719919—21no—
716#11719919C2×D411yescharacteristic
717#11719919C2×D411yescharacteristic
718#11719919C2×D411yescharacteristic
719#11719919C2×D411yescharacteristic
720C4×Dic53—21no—
721C4×Dic53—21no—
722C4×Dic53—21no—
723C4×Dic53—21no—
724C4×Dic53—21no—
725C4×Dic53C2411yescharacteristic
726C4×Dic53C2411yescharacteristic
727C2×#88322—41no—
728C2×#88322—41no—
729C2×#88322C2411yescharacteristic
730C2×#88322C2411yescharacteristic
731C2×#88322C2411yescharacteristic
732C2×#88322C2411yescharacteristic
733D424—41no—
734D424—41no—
735#11719913—41no—
736#11719913—41no—
737#11719912—41no—
738#11719912—41no—
739C8×D53—41no—
740C8×D53—41no—
741C23×C53—21no—
742C23×C53—22no—
743C23×C53—21no—
744C23×C53—21no—
745C23×C53—21no—
746C23×C53—41no—
747C23×C53—41no—
748C23×C53—42no—
749C23×C53—42no—
750C23×C53—42no—
751C23×C53—81no—
752C23×C53—81no—
753C23×C53—81no—
754C23×C53C22×D411yescharacteristic
755C23×C53C22×D411yescharacteristic
756C23×C53C22×D411yescharacteristic
757C22×D53—21no—
758C22×D53—21no—
759C22×D53—21no—
760C22×D53—42no—
761C22×D53—42no—
762C22×D53—42no—
763C22×D53—81no—
764C22×D53—81no—
765C22×D53—81no—
766C22×D53—81no—
767C22×D53—81no—
768C22×D53—81no—
769C22×D53—81no—
770C22×D53—81no—
771C22×D53—81no—
772C22×D53C22×D411yescharacteristic
773C22×D53C22×D411yescharacteristic
774Q8×C53—21no—
775Q8×C53—21no—
776Q8×C53—21no—
777Q8×C53—42no—
778Q8×C53H(5,𝔽2)12yes—
779D4×C53—24no—
780D4×C53—21no—
781D4×C53—21no—
782D4×C53—21no—
783D4×C53—21no—
784D4×C53—21no—
785D4×C53—21no—
786D4×C53—21no—
787D4×C53—42no—
788D4×C53—42no—
789D4×C53—42no—
790D4×C53—42no—
791D4×C53—81no—
792D4×C53—81no—
793D4×C53—81no—
794D4×C53—81no—
795D4×C53—81no—
796D4×C53H(5,𝔽2)12yes—
797C2×C4×C53—24no—
798C2×C4×C53—21no—
799C2×C4×C53—21no—
800C2×C4×C53—21no—
801C2×C4×C53—21no—
802C2×C4×C53—21no—
803C2×C4×C53—21no—
804C2×C4×C53—21no—
805C2×C4×C53—21no—
806C2×C4×C53—21no—
807C2×C4×C53—21no—
808C2×C4×C53—41no—
809C2×C4×C53—41no—
810C2×C4×C53—41no—
811C2×C4×C53—42no—
812C2×C4×C53—42no—
813C2×C4×C53—42no—
814C2×C4×C53—42no—
815C2×C4×C53—42no—
816C2×C4×C53C22×D411yescharacteristic
817C2×C4×C53C22×D411yescharacteristic
818C2×C4×C53C22×D411yescharacteristic
819C2×C4×C53C2511yescharacteristic
820C22⋊D53—22no—
821C22⋊D53—22no—
822C22⋊D53—41no—
823C22⋊D53—41no—
824C22⋊D53—41no—
825C22⋊D53—41no—
826C22⋊D53—42no—
827C22⋊D53—42no—
828C22⋊D53—42no—
829C22⋊D53—42no—
830C22⋊D53—42no—
831C22⋊D53—81no—
832C22⋊D53—81no—
833C22⋊D53—81no—
834C22⋊D53—81no—
835C22⋊D53—81no—
836C22⋊D53—81no—
837C22⋊D53—81no—
838C22⋊D53—81no—
839C22⋊D53—81no—
840C22⋊D53—81no—
841C22⋊D53—81no—
842C22⋊D53—81no—
843C22⋊D53—81no—
844C22⋊D53—81no—
845C22⋊D53—81no—
846C22⋊D53—81no—
847C2×Dic53—21no—
848C2×Dic53—21no—
849C2×Dic53—21no—
850C2×Dic53—21no—
851C2×Dic53—21no—
852C2×Dic53—81no—
853C2×Dic53—81no—
854C2×Dic53—81no—
855C2×Dic53—81no—
856C2×Dic53—81no—
857C2×Dic53—81no—
858C2×Dic53C22×D411yescharacteristic
859C2×Dic53C22×D411yescharacteristic
860C2×Dic53C22×D411yescharacteristic
861C2×Dic53C22×D411yescharacteristic
862C2×Dic53C22×D411yescharacteristic
863C2×Dic53C22×D411yescharacteristic
864D212—21no—
865D212—21no—
866D212—21no—
867D212—21no—
868D212—21no—
869D212—21no—
870D212—41no—
871D212—42no—
872D212—42no—
873D212—42no—
874D212—81no—
875C4×D53—21no—
876C4×D53—21no—
877C4×D53—21no—
878C4×D53—21no—
879C4×D53—42no—
880C4×D53—42no—
881C4×D53—81no—
882C4×D53—81no—
883C4×D53—81no—
884Dic106—21no—
885Dic106—21no—
886Dic106—41no—
887Dic106—81no—
888C8×C53—21no—
889C8×C53—21no—
890C8×C53—21no—
891C8×C53—21no—
892#88322—21no—
893#88322—21no—
894#88322—21no—
895#88322—21no—
896#61639—531nomaximal, Sylow
897C22×C53—21no—
898C22×C53—21no—
899C22×C53—21no—
900C22×C53—21no—
901C22×C53—21no—
902C22×C53—22no—
903C22×C53—21no—
904C22×C53—21no—
905C22×C53—21no—
906C22×C53—41no—
907C22×C53—41no—
908C22×C53—41no—
909C22×C53—41no—
910C22×C53—41no—
911C22×C53—41no—
912C22×C53—41no—
913C22×C53—41no—
914C22×C53—41no—
915C22×C53—41no—
916C22×C53—41no—
917C22×C53—82no—
918C22×C53—84no—
919C22×C53—162no—
920C22×C53#57612yes—
921C22×C53C23×D411yescharacteristic
922C2×D53—21no—
923C2×D53—21no—
924C2×D53—21no—
925C2×D53—21no—
926C2×D53—21no—
927C2×D53—21no—
928C2×D53—41no—
929C2×D53—41no—
930C2×D53—41no—
931C2×D53—41no—
932C2×D53—41no—
933C2×D53—41no—
934C2×D53—41no—
935C2×D53—41no—
936C2×D53—41no—
937C2×D53—162no—
938C2×D53—162no—
939C2×D53—162no—
940C2×D53—162no—
941C4×C53—21no—
942C4×C53—22no—
943C4×C53—21no—
944C4×C53—21no—
945C4×C53—41no—
946C4×C53—41no—
947C4×C53—41no—
948C4×C53C2×H(5,𝔽2)11yescharacteristic
949C4×C53C2×H(5,𝔽2)11yescharacteristic
950Dic53—21no—
951Dic53—21no—
952Dic53—21no—
953Dic53—21no—
954Dic53—21no—
955Dic53—21no—
956Dic53—41no—
957Dic53—41no—
958Dic53—41no—
959Dic53—41no—
960Dic53—41no—
961#3542—531no—
962#3488—531no—
963#3319—531no—
964#3310—531no—
965#3309—531no—
966#3308—531no—
967#3305—531no—
968#3300—531no—
969#3297—531no—
970#3294—531no—
971#3287—531no—
972#3282—531no—
973#3280—531no—
974D4×D8—531no—
975#3268—531no—
976#3268—531no—
977#3265—531no—
978#3264—531no—
979#3224—531no—
980#3220—531no—
981#3203—531no—
982#3198—531no—
983#3188—531no—
984#3186—531no—
985#3124—531no—
986#3119—531no—
987#3012—531no—
988#3008—531no—
989#3002—531no—
990C2×#449D5311yescharacteristic, complemented
991#2977—531no—
992C2×C53—22no—
993C2×C53—41no—
994C2×C53—42no—
995C2×C53—41no—
996C2×C53—81no—
997C2×C53—81no—
998C2×C53—81no—
999C2×C53#348411yescharacteristic
1000C2×C53C2×#57611yescharacteristic
1001C2×C53#358411yescharacteristic
1002D53—41no—
1003D53—41no—
1004D53—81no—
1005D53—81no—
1006D53—81no—
1007C2×H(5,𝔽2)—531no—
1008C22×#41C2×D5311yescharacteristic, complemented
1009C2×AGL(1,ℤ/8)—531no—
1010C2×AGL(1,ℤ/8)—531no—
1011C2×#135—531no—
1012C2×#135—531no—
1013C2×#135—531no—
1014C22×SD16C2×D5311yescharacteristic, complemented
1015C22×D8—531no—
1016C22×D8C2×D5311yescharacteristic, complemented
1017#562—1061no—
1018#560—1061no—
1019#555—531no—
1020#553—531no—
1021#552—531no—
1022#551—1061no—
1023#550—531no—
1024#550—531no—
1025#550—531no—
1026#548—531no—
1027#548—531no—
1028#547—531no—
1029#546—531no—
1030#546—531no—
1031#546—531no—
1032#546—531no—
1033#546—1061no—
1034#546—1061no—
1035#546—1061no—
1036D42—531no—
1037D42—531no—
1038D42—531no—
1039D42—1061no—
1040D42—1061no—
1041#542—531no—
1042#540—531no—
1043#540—1061no—
1044#538—1061no—
1045#537—531no—
1046#537—531no—
1047#537—1061no—
1048#535—531no—
1049#535—531no—
1050#535—1061no—
1051#535—1061no—
1052#534—1061no—
1053#525—531no—
1054#525—531no—
1055#525—1061no—
1056C2×#121—531no—
1057C2×#121—1061no—
1058C2×#121C2×D5311yescharacteristic, complemented
1059#520—531no—
1060#496—531no—
1061#496—531no—
1062#495—531no—
1063#493—531no—
1064#490—531no—
1065#489—531no—
1066#488—531no—
1067#486—531no—
1068#485—531no—
1069#484—531no—
1070#484—531no—
1071#482—531no—
1072#482—531no—
1073#482—531no—
1074#481—531no—
1075#480—531no—
1076#480—531no—
1077#480—531no—
1078#480—531no—
1079#480—531no—
1080#479—531no—
1081#478—531no—
1082#477—531no—
1083#474—531no—
1084#469—531no—
1085#468—531no—
1086#468—531no—
1087#468—531no—
1088#467—531no—
1089#466—531no—
1090#466—531no—
1091#466—531no—
1092#466—531no—
1093#466—531no—
1094#466—531no—
1095#466—531no—
1096#466—531no—
1097#465—531no—
1098#465—531no—
1099#465—531no—
1100#464—531no—
1101#464—531no—
1102#463—531no—
1103#463—531no—
1104#463—531no—
1105#463—531no—
1106#460—531no—
1107#460—531no—
1108#459—531no—
1109#459—531no—
1110#459—531no—
1111#459—531no—
1112#452—531no—
1113#452—531no—
1114#452—531no—
1115#452—531no—
1116#451—531no—
1117#450—531no—
1118#450—531no—
1119#450—531no—
1120#450—531no—
1121#449—531no—
1122#449—531no—
1123#449—531no—
1124#449—531no—
1125#449—531no—
1126#449—531no—
1127#449—531no—
1128#449—531no—
1129#449C2×D5311yescharacteristic
1130#449C2×D5311yescharacteristic, complemented
1131#449C2×D5311yescharacteristic, complemented
1132#449C2×D5311yescharacteristic, complemented
1133#449C2×D5311yescharacteristic, complemented
1134#449C2×D5311yescharacteristic, complemented
1135#449C2×D5311yescharacteristic, complemented
1136#449C2×D5311yescharacteristic, complemented
1137#448—531no—
1138#447—531no—
1139#447—531no—
1140#447—531no—
1141#447—531no—
1142#447—531no—
1143#447—531no—
1144#447—531no—
1145#447—531no—
1146#447—531no—
1147#447—531no—
1148#442—531no—
1149#440—531no—
1150#440—531no—
1151#440—531no—
1152C4×Q16—531no—
1153C4×SD16—531no—
1154C4×D8—531no—
1155C4×D8—531no—
1156#435—531no—
1157#435—531no—
1158#435—531no—
1159#435—531no—
1160C8×D4—531no—
1161C8×D4—531no—
1162C8×D4—531no—
1163C8×D4—531no—
1164#433—531no—
1165#433—531no—
1166#418—531no—
1167#417—531no—
1168#416—531no—
1169#416—531no—
1170#416—531no—
1171C2×#103C2×D5311yescharacteristic, complemented
1172C2×#102—531no—
1173C2×#102C2×D5311yescharacteristic, complemented
1174#408—531no—
1175#408—531no—
1176C2×C22⋊C8—531no—
1177C2×C22⋊C8C2×D5311yescharacteristic, complemented
1178C53#6163911yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—2122no—
1180H(5,𝔽2)—2122no—
1181C2×#41—21no—
1182C2×#41—21no—
1183C2×#41—42no—
1184C2×#41—42no—
1185C2×#41—531no—
1186C2×#41—531no—
1187C2×#41—531no—
1188C2×#41—531no—
1189C2×#41—531no—
1190C2×#41—1061no—
1191C2×#41—1061no—
1192C2×#41C22×D5311yescharacteristic
1193C2×#41C22×D5311yescharacteristic
1194C2×#41C22×D5311yescharacteristic
1195C2×#41C22×D5311yescharacteristic
1196C22×Q8C22×D5311yescharacteristic
1197C22×D4—21no—
1198C22×D4—21no—
1199C22×D4—531no—
1200C22×D4—531no—
1201C22×D4—531no—
1202C22×D4—531no—
1203C22×D4—1061no—
1204C22×D4—1061no—
1205C22×D4—1061no—
1206C22×D4—1061no—
1207C22×D4—1061no—
1208C22×D4—1061no—
1209C22×D4—1061no—
1210C22×D4C22×D5311yescharacteristic
1211C22×D4C22×D5311yescharacteristic
1212C23×C4—21no—
1213C23×C4C22×D5311yescharacteristic
1214AGL(1,ℤ/8)—2122no—
1215AGL(1,ℤ/8)—2122no—
1216#135—2122no—
1217#135—2122no—
1218#135—2122no—
1219C2×Q16—531no—
1220C2×Q16—531no—
1221C2×SD16—42no—
1222C2×SD16—531no—
1223C2×SD16—531no—
1224C2×SD16—531no—
1225C2×SD16—531no—
1226C2×SD16—531no—
1227C2×SD16—531no—
1228C2×SD16C22×D5311yescharacteristic
1229C2×SD16C22×D5311yescharacteristic
1230C2×SD16C22×D5311yescharacteristic
1231C2×SD16C22×D5311yescharacteristic
1232C2×D8—42no—
1233C2×D8—531no—
1234C2×D8—531no—
1235C2×D8—531no—
1236C2×D8—531no—
1237C2×D8—531no—
1238C2×D8—531no—
1239C2×D8—531no—
1240C2×D8—531no—
1241C2×D8—2122no—
1242C2×D8C22×D5311yescharacteristic
1243C2×D8C22×D5311yescharacteristic
1244C2×D8C22×D5311yescharacteristic
1245C2×D8C22×D5311yescharacteristic
1246C2×M16—531no—
1247C2×M16—531no—
1248C22×C8—531no—
1249C22×C8—531no—
1250C22×C8—531no—
1251C22×C8—531no—
1252C22×C8C22×D5311yescharacteristic
1253C22×C8C22×D5311yescharacteristic
1254C4⋊Q8—531no—
1255#127—531no—
1256#127—531no—
1257#127—531no—
1258#127—1061no—
1259#127—1061no—
1260#127—1061no—
1261#127—1061no—
1262#126—1061no—
1263#126—1061no—
1264#126—1061no—
1265#125—531no—
1266#125—1061no—
1267#124—531no—
1268#124—531no—
1269#124—531no—
1270#124—1061no—
1271#124—1061no—
1272#124—1061no—
1273#124—1061no—
1274#124—1061no—
1275#124—1061no—
1276#123—531no—
1277#123—531no—
1278#123—1061no—
1279#123—1061no—
1280#123—1061no—
1281#123—1061no—
1282#123—1061no—
1283#123—1061no—
1284#123—1061no—
1285#123—1061no—
1286#123—1061no—
1287#123—1061no—
1288#123—1061no—
1289#123—1061no—
1290C22⋊Q8—531no—
1291C22⋊Q8—531no—
1292C22⋊Q8—531no—
1293C22⋊Q8—531no—
1294C22⋊Q8—531no—
1295C22⋊Q8—531no—
1296C22⋊Q8—531no—
1297C22⋊Q8—1061no—
1298C22⋊Q8—1061no—
1299C22⋊Q8—1061no—
1300C22⋊Q8—1061no—
1301C22⋊Q8—1061no—
1302C22⋊Q8—1061no—
1303#121—21no—
1304#121—21no—
1305#121—531no—
1306#121—531no—
1307#121—531no—
1308#121—531no—
1309#121—531no—
1310#121—531no—
1311#121—531no—
1312#121—531no—
1313#121—531no—
1314#121—531no—
1315#121—531no—
1316#121—531no—
1317#121—531no—
1318#121—1061no—
1319#121—1061no—
1320#121—1061no—
1321#121—1061no—
1322#121—1061no—
1323#121—1061no—
1324#121—1061no—
1325#121—1061no—
1326#121—1061no—
1327#121—1061no—
1328#121—1061no—
1329#121—1061no—
1330#121—1061no—
1331#121—1061no—
1332#121—1061no—
1333#121—1061no—
1334#121—1061no—
1335#121—1061no—
1336#121—1061no—
1337#121—1061no—
1338#121—1061no—
1339#121—1061no—
1340#121—1061no—
1341#121—1061no—
1342#121—1061no—
1343#121—1061no—
1344#121—1061no—
1345#121—1061no—
1346#121—1061no—
1347#121C22×D5311yescharacteristic
1348#121C22×D5311yescharacteristic
1349#121C22×D5311yescharacteristic
1350#121C22×D5311yescharacteristic
1351#120—531no—
1352#120—531no—
1353#120—1061no—
1354#120—1061no—
1355#120—1061no—
1356#120—1061no—
1357#120—1061no—
1358#120—1061no—
1359#120—1061no—
1360#120—1061no—
1361#120—1061no—
1362#120—1061no—
1363#120—1061no—
1364#120—1061no—
1365#120—1061no—
1366#120—1061no—
1367#120—1061no—
1368C4×Q8—531no—
1369C4×Q8—531no—
1370C4×Q8—531no—
1371C4×D4—531no—
1372C4×D4—531no—
1373C4×D4—531no—
1374C4×D4—531no—
1375C4×D4—531no—
1376C4×D4—531no—
1377C4×D4—531no—
1378C4×D4—531no—
1379C4×D4—531no—
1380C4×D4—1061no—
1381C4×D4—1061no—
1382C4×D4—1061no—
1383C4×D4—1061no—
1384C4×D4—1061no—
1385C4×D4—1061no—
1386C4×D4—1061no—
1387C4×D4—1061no—
1388C4×D4—1061no—
1389C4×D4—1061no—
1390#117—531no—
1391#117—531no—
1392#117—531no—
1393#117—1061no—
1394#117—1061no—
1395#117—1061no—
1396C2×C4⋊C4—531no—
1397C2×C4⋊C4—531no—
1398C2×C4⋊C4—1061no—
1399C2×C4⋊C4C22×D5311yescharacteristic
1400C2×C22⋊C4—21no—
1401C2×C22⋊C4—1061no—
1402C2×C22⋊C4—1061no—
1403C2×C22⋊C4—1061no—
1404C2×C22⋊C4—1061no—
1405C2×C22⋊C4—1061no—
1406#107—531no—
1407#107—531no—
1408#107—531no—
1409#107—531no—
1410#107—531no—
1411#107—531no—
1412#106—531no—
1413#106—531no—
1414C4⋊C8—531no—
1415C4⋊C8—531no—
1416C4⋊C8—531no—
1417C4⋊C8—531no—
1418#103—531no—
1419#103—531no—
1420#103—531no—
1421#103—531no—
1422#103—531no—
1423#103—531no—
1424#103C22×D5311yescharacteristic
1425#103C22×D5311yescharacteristic
1426#103C22×D5311yescharacteristic
1427#103C22×D5311yescharacteristic
1428#102—531no—
1429#102—531no—
1430#102—531no—
1431#102—531no—
1432#102—531no—
1433#102—531no—
1434#102—531no—
1435#102—531no—
1436#102—531no—
1437#102—531no—
1438#102—531no—
1439#102—531no—
1440#102—531no—
1441#102—531no—
1442#102—531no—
1443#102—531no—
1444#102—531no—
1445#102—531no—
1446#102C22×D5311yescharacteristic
1447#102C22×D5311yescharacteristic
1448#102C22×D5311yescharacteristic
1449#102C22×D5311yescharacteristic
1450C22⋊C8—531no—
1451C22⋊C8—531no—
1452C22⋊C8—531no—
1453C22⋊C8—531no—
1454C22⋊C8—531no—
1455C22⋊C8—531no—
1456C22⋊C8—531no—
1457C22⋊C8—531no—
1458C22⋊C8C22×D5311yescharacteristic
1459C22⋊C8C22×D5311yescharacteristic
1460C22⋊C8C22×D5311yescharacteristic
1461C22⋊C8C22×D5311yescharacteristic
1462#97—531no—
1463#97—531no—
1464C4×C8—531no—
1465C4×C8—531no—
1466C24—21no—
1467C24—21no—
1468C24—1061no—
1469C24—1061no—
1470C24—1061no—
1471C24—1061no—
1472C24D4×D5311yescharacteristic
1473#41—22no—
1474#41—22no—
1475#41—22no—
1476#41—22no—
1477#41—41no—
1478#41—41no—
1479#41—41no—
1480#41—41no—
1481#41—44no—
1482#41—44no—
1483#41—1062no—
1484#41—1062no—
1485#41—4242no—
1486#41—2121no—
1487#41—2121no—
1488#41—2121no—
1489#41—2121no—
1490#41—2124no—
1491#41—2121no—
1492#41—2121no—
1493#41—2121no—
1494#41—2121no—
1495C2×Q8—21no—
1496C2×Q8—22no—
1497C2×Q8—41no—
1498C2×Q8—531no—
1499C2×Q8—531no—
1500C2×Q8—1061no—
1501C2×Q8C23×D5311yescharacteristic
1502C2×Q8C23×D5311yescharacteristic
1503C2×D4—21no—
1504C2×D4—22no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—41no—
1515C2×D4—41no—
1516C2×D4—41no—
1517C2×D4—44no—
1518C2×D4—82no—
1519C2×D4—531no—
1520C2×D4—531no—
1521C2×D4—531no—
1522C2×D4—531no—
1523C2×D4—531no—
1524C2×D4—531no—
1525C2×D4—531no—
1526C2×D4—531no—
1527C2×D4—531no—
1528C2×D4—531no—
1529C2×D4—1061no—
1530C2×D4—1061no—
1531C2×D4—1061no—
1532C2×D4—1061no—
1533C2×D4—1061no—
1534C2×D4—1061no—
1535C2×D4—1061no—
1536C2×D4—1061no—
1537C2×D4—1061no—
1538C2×D4—1061no—
1539C2×D4—1061no—
1540C2×D4—1061no—
1541C2×D4—1062no—
1542C2×D4—1062no—
1543C2×D4—1061no—
1544C2×D4—1061no—
1545C2×D4—1061no—
1546C2×D4—1061no—
1547C2×D4—1061no—
1548C2×D4—1061no—
1549C2×D4—1061no—
1550C2×D4—1061no—
1551C2×D4—1061no—
1552C2×D4—1061no—
1553C2×D4—1061no—
1554C2×D4—1061no—
1555C2×D4—1061no—
1556C2×D4—4242no—
1557C2×D4—4242no—
1558C2×D4—4242no—
1559C2×D4—4242no—
1560C2×D4—2121no—
1561C2×D4—2121no—
1562C2×D4—2124no—
1563C2×D4—2121no—
1564C2×D4—2121no—
1565C2×D4—2121no—
1566C2×D4—2121no—
1567C2×D4—2124no—
1568C2×D4—2124no—
1569C2×D4C23×D5311yescharacteristic
1570C2×D4C23×D5311yescharacteristic
1571C2×D4C23×D5311yescharacteristic
1572C2×D4C23×D5311yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—21no—
1578C22×C4—21no—
1579C22×C4—41no—
1580C22×C4—41no—
1581C22×C4—44no—
1582C22×C4—531no—
1583C22×C4—531no—
1584C22×C4—1061no—
1585C22×C4—1061no—
1586C22×C4—1061no—
1587C22×C4—1061no—
1588C22×C4—1061no—
1589C22×C4—1061no—
1590C22×C4—1061no—
1591C22×C4—1061no—
1592C22×C4—1061no—
1593C22×C4—1061no—
1594C22×C4—1061no—
1595C22×C4D4×D5311yescharacteristic
1596C22×C4D4×D5311yescharacteristic
1597C22×C4D4×D5311yescharacteristic
1598C22×C4C23×D5311yescharacteristic
1599C22×C4C23×D5311yescharacteristic
1600C22×C4C23×D5311yescharacteristic
1601Q16—1062no—
1602Q16—2121no—
1603SD16—22no—
1604SD16—22no—
1605SD16—41no—
1606SD16—41no—
1607SD16—1062no—
1608SD16—1062no—
1609SD16—2121no—
1610SD16—2121no—
1611SD16—2121no—
1612SD16—2121no—
1613D8—22no—
1614D8—22no—
1615D8—41no—
1616D8—41no—
1617D8—1062no—
1618D8—2121no—
1619D8—2121no—
1620D8—2121no—
1621D8—2121no—
1622D8—2121no—
1623D8—2121no—
1624D8—2121no—
1625M16—2121no—
1626M16—2121no—
1627C2×C8—41no—
1628C2×C8—41no—
1629C2×C8—531no—
1630C2×C8—531no—
1631C2×C8—531no—
1632C2×C8—531no—
1633C2×C8—2121no—
1634C2×C8—2121no—
1635C2×C8—2121no—
1636C2×C8—2121no—
1637C2×C8C23×D5311yescharacteristic
1638C2×C8C23×D5311yescharacteristic
1639C2×C8C23×D5311yescharacteristic
1640C2×C8C23×D5311yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—531no—
1643C4⋊C4—531no—
1644C4⋊C4—531no—
1645C4⋊C4—531no—
1646C4⋊C4—531no—
1647C4⋊C4—531no—
1648C4⋊C4—531no—
1649C4⋊C4—531no—
1650C4⋊C4—531no—
1651C4⋊C4—531no—
1652C4⋊C4—1061no—
1653C4⋊C4—1061no—
1654C4⋊C4—1061no—
1655C4⋊C4—1061no—
1656C4⋊C4—1061no—
1657C4⋊C4—1061no—
1658C4⋊C4—1061no—
1659C4⋊C4—1061no—
1660C4⋊C4—1061no—
1661C4⋊C4—1061no—
1662C4⋊C4—1061no—
1663C4⋊C4—1061no—
1664C4⋊C4—1061no—
1665C4⋊C4C23×D5311yescharacteristic
1666C4⋊C4C23×D5311yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—531no—
1672C22⋊C4—531no—
1673C22⋊C4—531no—
1674C22⋊C4—531no—
1675C22⋊C4—531no—
1676C22⋊C4—531no—
1677C22⋊C4—531no—
1678C22⋊C4—531no—
1679C22⋊C4—531no—
1680C22⋊C4—531no—
1681C22⋊C4—1061no—
1682C22⋊C4—1061no—
1683C22⋊C4—1061no—
1684C22⋊C4—1061no—
1685C22⋊C4—1061no—
1686C22⋊C4—1061no—
1687C22⋊C4—1061no—
1688C22⋊C4—1061no—
1689C22⋊C4—1061no—
1690C22⋊C4—1061no—
1691C22⋊C4—1061no—
1692C22⋊C4—1061no—
1693C22⋊C4—1061no—
1694C22⋊C4—1061no—
1695C22⋊C4—1061no—
1696C22⋊C4—1061no—
1697C22⋊C4—1061no—
1698C22⋊C4—1061no—
1699C22⋊C4—1061no—
1700C22⋊C4—1061no—
1701C22⋊C4—1061no—
1702C22⋊C4—1061no—
1703C22⋊C4—1061no—
1704C22⋊C4—1061no—
1705C22⋊C4—1061no—
1706C22⋊C4—1061no—
1707C22⋊C4—1061no—
1708C22⋊C4—1061no—
1709C22⋊C4—1061no—
1710C42—531no—
1711C42—531no—
1712C42—1061no—
1713C42—1061no—
1714C42—1061no—
1715C42—1061no—
1716C42—1061no—
1717C23—21no—
1718C23—22no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—41no—
1723C23—41no—
1724C23—42no—
1725C23—42no—
1726C23—42no—
1727C23—81no—
1728C23—81no—
1729C23—81no—
1730C23—531no—
1731C23—531no—
1732C23—1061no—
1733C23—1061no—
1734C23—1061no—
1735C23—4241no—
1736C23—4241no—
1737C23—4241no—
1738C23—4241no—
1739C23—4241no—
1740C23—4241no—
1741C23—4241no—
1742C23—4241no—
1743C23—4241no—
1744C23—2122no—
1745C23—2122no—
1746C23—2122no—
1747C23C2×D4×D5311yescharacteristic
1748C23C2×D4×D5311yescharacteristic
1749C23C2×D4×D5311yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—42no—
1754Q8—1061no—
1755Q8—1061no—
1756Q8—4241no—
1757Q8—2121no—
1758Q8#1313326212yes—
1759D4—24no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—42no—
1768D4—42no—
1769D4—42no—
1770D4—42no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—81no—
1776D4—1062no—
1777D4—1062no—
1778D4—1061no—
1779D4—1061no—
1780D4—1061no—
1781D4—1061no—
1782D4—1061no—
1783D4—1061no—
1784D4—4241no—
1785D4—4241no—
1786D4—4241no—
1787D4—4241no—
1788D4—4241no—
1789D4—4241no—
1790D4—4241no—
1791D4—4241no—
1792D4—4241no—
1793D4—4241no—
1794D4—4241no—
1795D4—4241no—
1796D4—4241no—
1797D4—4241no—
1798D4—4241no—
1799D4—4241no—
1800D4—4241no—
1801D4—2121no—
1802D4—2122no—
1803D4—2122no—
1804D4—2122no—
1805D4—2121no—
1806D4—2121no—
1807D4—2121no—
1808D4—2121no—
1809D4—2122no—
1810D4—2122no—
1811D4—2122no—
1812D4—2122no—
1813D4—2122no—
1814D4#1313326212yes—
1815C2×C4—24no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—41no—
1827C2×C4—41no—
1828C2×C4—41no—
1829C2×C4—42no—
1830C2×C4—42no—
1831C2×C4—42no—
1832C2×C4—42no—
1833C2×C4—42no—
1834C2×C4—531no—
1835C2×C4—531no—
1836C2×C4—531no—
1837C2×C4—531no—
1838C2×C4—531no—
1839C2×C4—531no—
1840C2×C4—1061no—
1841C2×C4—1061no—
1842C2×C4—1061no—
1843C2×C4—1061no—
1844C2×C4—1061no—
1845C2×C4—1061no—
1846C2×C4—1061no—
1847C2×C4—1061no—
1848C2×C4—1061no—
1849C2×C4—4241no—
1850C2×C4—4241no—
1851C2×C4—4241no—
1852C2×C4—4241no—
1853C2×C4—4241no—
1854C2×C4—4241no—
1855C2×C4—4241no—
1856C2×C4—4241no—
1857C2×C4—4241no—
1858C2×C4—2122no—
1859C2×C4—2122no—
1860C2×C4C2×D4×D5311yescharacteristic
1861C2×C4C2×D4×D5311yescharacteristic
1862C2×C4C2×D4×D5311yescharacteristic
1863C2×C4C24×D5311yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—1061no—
1869C8—1061no—
1870C8—1061no—
1871C8—1061no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—22no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—82no—
1893C22—84no—
1894C22—162no—
1895C22—8482no—
1896C22—8482no—
1897C22—8482no—
1898C22—8482no—
1899C22—1061no—
1900C22—1061no—
1901C22—1061no—
1902C22—1061no—
1903C22—1061no—
1904C22—1061no—
1905C22—2121no—
1906C22—2121no—
1907C22—2121no—
1908C22—2121no—
1909C22—2121no—
1910C22—2121no—
1911C22—2121no—
1912C22—2121no—
1913C22—2121no—
1914C22#1681142712yes—
1915C22C22×D4×D5311yescharacteristic
1916C4—21no—
1917C4—22no—
1918C4—21no—
1919C4—21no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—1061no—
1924C4—1061no—
1925C4—1061no—
1926C4—1061no—
1927C4—1061no—
1928C4—1061no—
1929C4—2121no—
1930C4—2121no—
1931C4—2121no—
1932C4—2121no—
1933C4—2121no—
1934C4C2×#1313326211yescharacteristic
1935C4C2×#1313326211yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—41no—
1939C2—42no—
1940C2—81no—
1941C2—81no—
1942C2—81no—
1943C2—4241no—
1944C2—4241no—
1945C2—4241no—
1946C2—2121no—
1947C2—2121no—
1948C2#2028834411yescharacteristic
1949C2C2×#1681142711yescharacteristic
1950C2#2028948411yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC2×C53×#449C2
socleC22×C53C23×D4
hypercenterC2×#449D53
hypocenterC53#61639
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#449

Complements

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

NH ≅ G/Ntype
1. #20289035C2semidirect
2. #20288384C2semidirect
3. #20286875C2semidirect
4. #20286732C2semidirect
5. #20286725C2semidirect
6. #20286702C2semidirect
7. #20286658C2semidirect
8. #20286598C2semidirect
9. #20286558C2semidirect
10. #20286524C2semidirect
11. #20286468C2semidirect
12. #20286422C2semidirect
13. #20286398C2semidirect
14. D8×C22⋊D53C2semidirect
15. #20286259C2semidirect
16. #20286248C2semidirect
17. #20286210C2semidirect
18. #20286195C2semidirect
19. #20285807C2semidirect
20. #20285763C2semidirect
21. #20285614C2semidirect
22. #20285566C2semidirect
23. #20285482C2semidirect
24. #20285463C2semidirect
25. #20284970C2semidirect
26. #20284915C2semidirect
27. #20284017C2semidirect
28. #20283980C2semidirect
29. #20283933C2semidirect
30. #20283769C2semidirect
31. C2×C53×#449C2semidirect
32. C2×#13133263C22semidirect
33. C2×#13133244C22semidirect
34. C2×#13133241C22semidirect
35. C2×#13133238C22semidirect
36. C2×#13133237C22semidirect
37. C2×#13133237C22semidirect
38. C2×D8×D53C22semidirect
41. #16811337C22semidirect
42. #16811320C22semidirect
43. #16811308C22semidirect
45. #16811292C22semidirect
46. #16811292C22semidirect
47. #16811291C22semidirect
49. #16811284C22semidirect
50. #16811274C22semidirect
51. #16811270C22semidirect
52. #16811267C22semidirect
56. #16811261C22semidirect
57. #16811261C22semidirect
61. D4×C22⋊D53C22semidirect
62. D4×C22⋊D53C22semidirect
63. #16811240C22semidirect
64. #16811226C22semidirect
67. #16811202C22semidirect
69. #16811201C22semidirect
71. #16811189C22semidirect
73. #16811187C22semidirect
77. #16811134C22semidirect
79. C2×#13133191C22semidirect
80. #16811106C22semidirect
81. #16811011C22semidirect
82. #16811009C22semidirect
83. #16811004C22semidirect
84. #16810998C22semidirect
85. #16810986C22semidirect
86. #16810984C22semidirect
87. #16810979C22semidirect
88. #16810968C22semidirect
89. #16810962C22semidirect
90. #16810959C22semidirect
91. #16810957C22semidirect
92. #16810948C22semidirect
93. #16810948C22semidirect
94. #16810946C22semidirect
95. #16810942C22semidirect
96. #16810936C22semidirect
97. #16810936C22semidirect
98. #16810935C22semidirect
99. #16810934C22semidirect
100. #16810934C22semidirect
101. #16810928C22semidirect
102. #16810925C22semidirect
103. #16810916C22semidirect
104. #16810901C22semidirect
105. #16810873C22semidirect
106. #16810872C22semidirect
107. #16810868C22semidirect
108. #16810866C22semidirect
109. #16810863C22semidirect
110. #16810859C22semidirect
111. #16810859C22semidirect
112. #16810858C22semidirect
113. #16810857C22semidirect
114. #16810857C22semidirect
115. #16810857C22semidirect
116. #16810857C22semidirect
117. #16810856C22semidirect
118. #16810852C22semidirect
119. #16810852C22semidirect
120. #16810849C22semidirect
121. #16810848C22semidirect
122. #16810843C22semidirect
123. #16810841C22semidirect
124. #16810840C22semidirect
125. #16810840C22semidirect
126. #16810836C22semidirect
127. #16810822C22semidirect
128. #16810821C22semidirect
129. #16810817C22semidirect
130. #16810816C22semidirect
131. #16810816C22semidirect
132. #16810816C22semidirect
133. #16810788C22semidirect
134. #16810785C22semidirect
135. #16810785C22semidirect
136. #16810782C22semidirect
137. #16810779C22semidirect
138. #16810776C22semidirect
139. #16810775C22semidirect
140. #16810774C22semidirect
141. #16810772C22semidirect
142. #16810771C22semidirect
143. #16810770C22semidirect
144. #16810770C22semidirect
145. #16810768C22semidirect
146. #16810768C22semidirect
147. #16810767C22semidirect
148. #16810767C22semidirect
149. #16810765C22semidirect
150. #16810762C22semidirect
151. #16810759C22semidirect
152. #16810758C22semidirect
153. #16810757C22semidirect
154. #16810757C22semidirect
155. #16810757C22semidirect
156. #16810756C22semidirect
157. #16810756C22semidirect
158. #16810755C22semidirect
159. #16810755C22semidirect
160. #16810755C22semidirect
161. #16810735C22semidirect
162. #16810726C22semidirect
163. #16810724C22semidirect
164. #16810720C22semidirect
165. #16810715C22semidirect
166. SD16×Dic53C22semidirect
167. D8×Dic53C22semidirect
168. #16810703C22semidirect
169. #16810694C22semidirect
170. #16810694C22semidirect
171. #16810691C22semidirect
172. #16810691C22semidirect
173. C8×C22⋊D53C22semidirect
174. C8×C22⋊D53C22semidirect
175. #16810686C22semidirect
176. #16810686C22semidirect
177. #16810681C22semidirect
178. #16810681C22semidirect
179. #16810626C22semidirect
180. #16810623C22semidirect
181. #16810619C22semidirect
182. #16810619C22semidirect
183. #16810618C22semidirect
184. #102×D53C22semidirect
185. #16810588C22semidirect
186. #16810588C22semidirect
187. C2×C22⋊#88322C22semidirect
188. C22×#41×C53C22semidirect
189. C22×SD16×C53C22semidirect
190. C22×D8×C53C22semidirect
191. C2×#121×C53C22semidirect
193. C53×#449C22semidirect
194. C53×#449C22semidirect
195. C53×#449C22semidirect
196. C53×#449C22semidirect
197. C53×#449C22semidirect
198. C53×#449C22semidirect
199. C53×#449C22semidirect
200. C2×#103×C53C22semidirect
201. C2×#102×C53C22semidirect
202. C2×C22⋊C8×C53C22semidirect
990. C2×#449D53semidirect
1008. C22×#41C2×D53semidirect
1014. C22×SD16C2×D53semidirect
1016. C22×D8C2×D53semidirect
1058. C2×#121C2×D53semidirect
1130. #449C2×D53semidirect
1131. #449C2×D53semidirect
1132. #449C2×D53semidirect
1133. #449C2×D53semidirect
1134. #449C2×D53semidirect
1135. #449C2×D53semidirect
1136. #449C2×D53semidirect
1171. C2×#103C2×D53semidirect
1173. C2×#102C2×D53semidirect
1177. C2×C22⋊C8C2×D53semidirect
1178. C53#61639semidirect

Maximal subgroups

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

subgroupindex
#202890352
#202883842
#202868752
#202867322
#202867252
#202867022
#202866582
#202865982
#202865582
#202865242
#202864682
#202864222
#202863982
D8×C22⋊D532
#202862592
#202862482
#202862102
#202861952
#202858072
#202857632
#202856142
#202855662
#202854822
#202854632
#202849702
#202849152
#202840172
#202839802
#202839332
#202837692
C2×C53×#4492
#6163953