Finite Group Databasebeta

← #28270336

Subgroups — #28270336

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#20289032C211yesmaximal, characteristic, complemented
2#20288381C211yesmaximal, characteristic, complemented
3#20286870C211yesmaximal, characteristic, complemented
4#20286734C211yesmaximal, characteristic, complemented
5#20286722C211yesmaximal, characteristic, complemented
6#20286662C211yesmaximal, characteristic, complemented
7#20286598C211yesmaximal, characteristic, complemented
8#20286563C211yesmaximal, characteristic, complemented
9#20286522C211yesmaximal, characteristic, complemented
10#20286468C211yesmaximal, characteristic, complemented
11#20286423C211yesmaximal, characteristic, complemented
12#20286395C211yesmaximal, characteristic, complemented
13#20286389C211yesmaximal, characteristic, complemented
14#20286262C211yesmaximal, characteristic, complemented
15#20286257C211yesmaximal, characteristic, complemented
16#20286203C211yesmaximal, characteristic, complemented
17#20286200C211yesmaximal, characteristic, complemented
18#20285810C211yesmaximal, characteristic, complemented
19#20285762C211yesmaximal, characteristic, complemented
20#20285619C211yesmaximal, characteristic, complemented
21#20285568C211yesmaximal, characteristic, complemented
22#20285475C211yesmaximal, characteristic, complemented
23#20285465C211yesmaximal, characteristic, complemented
24#20284984C211yesmaximal, characteristic, complemented
25#20284912C211yesmaximal, characteristic, complemented
26#20284021C211yesmaximal, characteristic, complemented
27#20283980C211yesmaximal, characteristic, complemented
28#20283932C211yesmaximal, characteristic, complemented
29C2×#16810771C211yesmaximal, characteristic, complemented
30#20283766C211yesmaximal, characteristic, complemented
31C53×#3308C211yesmaximal, characteristic, complemented
32C2×#13133263C2211yescharacteristic, complemented
33C22×#11719949C2211yescharacteristic, complemented
34C2×#13133245C2211yescharacteristic, complemented
35C2×#13133244C2211yescharacteristic, complemented
36C2×#13133238C2211yescharacteristic, complemented
37C2×#13133238C2211yescharacteristic, complemented
38C2×#13133237C2211yescharacteristic, complemented
39C22×#11719924C2211yescharacteristic, complemented
40C22×D424C2211yescharacteristic, complemented
41C2×D8×D53C2211yescharacteristic, complemented
42#16811369—21no—
43#16811363—21no—
44#16811339C2211yescharacteristic, complemented
45#16811321C2211yescharacteristic, complemented
46#16811308C2211yescharacteristic, complemented
47#16811296—21no—
48#16811295C2211yescharacteristic, complemented
49#16811292C2211yescharacteristic, complemented
50#16811291C2211yescharacteristic, complemented
51#16811284C2211yescharacteristic
52#16811269C2211yescharacteristic, complemented
53#16811268C2211yescharacteristic, complemented
54#16811266—21no—
55#16811266C2211yescharacteristic, complemented
56#16811264—21no—
57#16811264C2211yescharacteristic, complemented
58#16811261—21no—
59D4×D212—21no—
60D4×D212C2211yescharacteristic, complemented
61#16811257—21no—
62#16811257C2211yescharacteristic
63#16811257C2211yescharacteristic, complemented
64#16811247C2211yescharacteristic, complemented
65#16811225—21no—
66#16811224C2211yescharacteristic, complemented
67#16811213—21no—
68#16811204C2211yescharacteristic, complemented
69#16811203—21no—
70#16811203C2211yescharacteristic, complemented
71#16811191—21no—
72#16811191C2211yescharacteristic, complemented
73#16811189C2211yescharacteristic, complemented
74#16811187—21no—
75#16811184—21no—
76#16811133C2211yescharacteristic, complemented
77#16811132—21no—
78#16811132C2211yescharacteristic
79C2×#13133192C2211yescharacteristic, complemented
80#121×D53—21no—
81#121×D53C2211yescharacteristic, complemented
82#16811105C2211yescharacteristic, complemented
83#16811012C2211yescharacteristic, complemented
84#16811009C2211yescharacteristic, complemented
85#16811005C2211yescharacteristic, complemented
86#16810998C2211yescharacteristic, complemented
87#16810986C2211yescharacteristic, complemented
88#16810979C2211yescharacteristic, complemented
89#16810971C2211yescharacteristic, complemented
90#16810962C2211yescharacteristic, complemented
91#16810960C2211yescharacteristic, complemented
92#16810950C2211yescharacteristic, complemented
93#16810950C2211yescharacteristic, complemented
94#16810946C2211yescharacteristic, complemented
95#16810940C2211yescharacteristic, complemented
96#16810938C2211yescharacteristic, complemented
97#16810938C2211yescharacteristic, complemented
98#16810936C2211yescharacteristic, complemented
99#16810936C2211yescharacteristic, complemented
100#16810928C2211yescharacteristic, complemented
101#16810926C2211yescharacteristic, complemented
102#16810900C2211yescharacteristic, complemented
103#16810876C2211yescharacteristic, complemented
104#16810872C2211yescharacteristic, complemented
105#16810870C2211yescharacteristic, complemented
106#16810863C2211yescharacteristic, complemented
107#16810860C2211yescharacteristic, complemented
108#16810860C2211yescharacteristic, complemented
109#16810860C2211yescharacteristic, complemented
110#16810858C2211yescharacteristic, complemented
111#16810858C2211yescharacteristic, complemented
112#16810857C2211yescharacteristic, complemented
113#16810857C2211yescharacteristic, complemented
114#16810854C2211yescharacteristic, complemented
115#16810852C2211yescharacteristic, complemented
116#16810850C2211yescharacteristic, complemented
117#16810848C2211yescharacteristic, complemented
118#16810845C2211yescharacteristic, complemented
119#16810841C2211yescharacteristic, complemented
120#16810839C2211yescharacteristic, complemented
121#16810835C2211yescharacteristic, complemented
122#16810822C2211yescharacteristic, complemented
123#16810821C2211yescharacteristic, complemented
124#16810819C2211yescharacteristic, complemented
125#16810818C2211yescharacteristic, complemented
126#16810817C2211yescharacteristic, complemented
127#16810817C2211yescharacteristic, complemented
128#16810788C2211yescharacteristic, complemented
129#16810788C2211yescharacteristic, complemented
130#16810788C2211yescharacteristic, complemented
131#16810783C2211yescharacteristic, complemented
132#16810779C2211yescharacteristic, complemented
133#16810776C2211yescharacteristic, complemented
134#16810775C2211yescharacteristic, complemented
135#16810775C2211yescharacteristic, complemented
136#16810772C2211yescharacteristic, complemented
137#16810771C2211yescharacteristic
138#16810771C2211yescharacteristic, complemented
139#16810771C2211yescharacteristic, complemented
140#16810771C2211yescharacteristic, complemented
141#16810771C2211yescharacteristic, complemented
142#16810771C2211yescharacteristic, complemented
143#16810771C2211yescharacteristic, complemented
144#16810771C2211yescharacteristic, complemented
145#16810771C2211yescharacteristic, complemented
146#16810770C2211yescharacteristic, complemented
147#16810769C2211yescharacteristic, complemented
148#16810768C2211yescharacteristic, complemented
149#16810767C2211yescharacteristic, complemented
150#16810767C2211yescharacteristic, complemented
151#16810765C2211yescharacteristic, complemented
152#16810759C2211yescharacteristic, complemented
153#16810759C2211yescharacteristic, complemented
154#16810758C2211yescharacteristic, complemented
155#16810758C2211yescharacteristic, complemented
156#16810758C2211yescharacteristic, complemented
157#16810758C2211yescharacteristic, complemented
158#16810756C2211yescharacteristic, complemented
159#16810756C2211yescharacteristic, complemented
160#16810756C2211yescharacteristic, complemented
161#16810755C2211yescharacteristic, complemented
162#16810736C2211yescharacteristic, complemented
163#16810726C2211yescharacteristic, complemented
164#16810722C2211yescharacteristic, complemented
165#16810715C2211yescharacteristic, complemented
166C4×#11719924C2211yescharacteristic, complemented
167#16810705C2211yescharacteristic, complemented
168C4×#11719922C2211yescharacteristic, complemented
169#16810696C2211yescharacteristic, complemented
170#16810692C2211yescharacteristic, complemented
171#16810691C2211yescharacteristic, complemented
172D4×#88322C2211yescharacteristic, complemented
173#16810688C2211yescharacteristic, complemented
174C8×C22⋊D53C2211yescharacteristic, complemented
175#16810686C2211yescharacteristic, complemented
176#16810685C2211yescharacteristic, complemented
177#16810683C2211yescharacteristic, complemented
178#16810626C2211yescharacteristic, complemented
179#16810618C2211yescharacteristic, complemented
180#16810618C2211yescharacteristic, complemented
181#16810618C2211yescharacteristic, complemented
182C2×#13133137C2211yescharacteristic, complemented
183C2×#13133137C2211yescharacteristic, complemented
184#16810591C2211yescharacteristic, complemented
185#16810588C2211yescharacteristic, complemented
186C2×#13133129C2211yescharacteristic, complemented
187C22⋊C8×D53C2211yescharacteristic, complemented
188C53×#548C2211yescharacteristic, complemented
189C53×#547C2211yescharacteristic, complemented
190C53×#489C2211yescharacteristic, complemented
191C53×#484C2211yescharacteristic, complemented
192C53×#480C2211yescharacteristic, complemented
193C53×#477C2211yescharacteristic, complemented
194C53×#468C2211yescharacteristic, complemented
195C53×#466C2211yescharacteristic, complemented
196C53×#463C2211yescharacteristic, complemented
197C53×#449C2211yescharacteristic, complemented
198C53×#448C2211yescharacteristic, complemented
199C53×#440C2211yescharacteristic, complemented
200C53×#435C2211yescharacteristic, complemented
201C53×#417C2211yescharacteristic, complemented
202C2×#103×C53C2211yescharacteristic, complemented
203#13133263—42no—
204#13133263—42no—
205C2×#11719949—21no—
206C2×#11719949—21no—
207C2×#11719949—42no—
208C2×#11719949—42no—
209C2×#11719949C2311yescharacteristic
210C2×#11719949C2311yescharacteristic
211C2×#11719949C2311yescharacteristic
212C2×#11719949C2311yescharacteristic
213C2×#11719949C2311yescharacteristic
214C2×#11719945—21no—
215C2×#11719945C2311yescharacteristic
216C2×#11719945C2311yescharacteristic
217C2×#11719947C2311yescharacteristic
218C22×D212—21no—
219C22×D212—21no—
220C22×D212—21no—
221C22×D212C2311yescharacteristic
222C22×D212C2311yescharacteristic
223C22×D212C2311yescharacteristic
224C2×D4×D53—21no—
225C2×D4×D53—21no—
226C2×D4×D53—21no—
227C2×D4×D53—21no—
228C2×D4×D53—21no—
229C2×D4×D53—21no—
230C2×D4×D53C2311yescharacteristic
231C2×D4×D53C2311yescharacteristic
232C2×D4×D53C2311yescharacteristic
233C22×C4×D53—21no—
234C22×C4×D53C2311yescharacteristic
235#13133245—42no—
236#13133244—42no—
237#13133238—42no—
238#13133238—42no—
239#13133237—42no—
240C2×#11719925C2311yescharacteristic
241C2×#11719925C2311yescharacteristic
242C2×#11719913C2311yescharacteristic
243C2×#11719913C2311yescharacteristic
244C2×#11719913C2311yescharacteristic
245C2×#11719923C2311yescharacteristic
246C2×#11719924—42no—
247C2×#11719924C2311yescharacteristic
248C2×#11719924C2311yescharacteristic
249C2×#11719924C2311yescharacteristic
250C2×#11719924C2311yescharacteristic
251C2×D424—42no—
252C2×D424C2311yescharacteristic
253C2×D424C2311yescharacteristic
254C2×D424C2311yescharacteristic
255C2×D424C2311yescharacteristic
256C2×D424C2311yescharacteristic
257C2×D424C2311yescharacteristic
258C2×#11719922C2311yescharacteristic
259C2×#11719922C2311yescharacteristic
260C2×#11719922C2311yescharacteristic
261C2×#11719922C2311yescharacteristic
262C2×#11719922C2311yescharacteristic
263D8×D53—42no—
264C2×#11719912C2311yescharacteristic
265C22×#88322C2311yescharacteristic
266C22×#88322C2311yescharacteristic
267C2×C8×D53C2311yescharacteristic
268C2×C8×D53C2311yescharacteristic
269C2×C8×D53C2311yescharacteristic
270#13133214—21no—
271#13133214C2311yescharacteristic
272#13133213—21no—
273#13133213—21no—
274#13133213—21no—
275#13133213C2311yescharacteristic
276#13133213C2311yescharacteristic
277#13133212—21no—
278#13133212—21no—
279#13133212—21no—
280#13133208C2311yescharacteristic
281#13133207—21no—
282#13133206—21no—
283#13133206—21no—
284#13133206—21no—
285#13133206—21no—
286#13133206C2311yescharacteristic
287#13133205C2311yescharacteristic
288#13133203—21no—
289#13133202—21no—
290#13133202—21no—
291#13133202—21no—
292#13133202—21no—
293#13133202D411yescharacteristic
294#13133201—21no—
295#13133200—21no—
296#13133200—21no—
297#13133199—21no—
298#13133199—21no—
299#13133199—21no—
300#13133199D411yescharacteristic
301#13133197—21no—
302#13133197C2311yescharacteristic
303#13133197C2311yescharacteristic
304#13133196C2311yescharacteristic
305#13133195—21no—
306#13133195D411yescharacteristic
307#13133194D411yescharacteristic
308#13133193—21no—
309#13133193—21no—
310#13133193C2311yescharacteristic
311#13133192—21no—
312#13133192—21no—
313#13133192—21no—
314#13133192—21no—
315#13133192—21no—
316#13133192—21no—
317#13133192—21no—
318#13133192—21no—
319#13133192—21no—
320#13133192C2311yescharacteristic
321#13133192C2311yescharacteristic
322#13133192C2311yescharacteristic
323#13133192C2311yescharacteristic
324#13133192C2311yescharacteristic
325#13133192C2311yescharacteristic
326#13133192C2311yescharacteristic
327#13133191—21no—
328#13133191—21no—
329#13133191—21no—
330#13133191—21no—
331#13133191—21no—
332#13133191—21no—
333#13133191—21no—
334#13133191C2311yescharacteristic
335#13133191C2311yescharacteristic
336#13133191C2311yescharacteristic
337#13133190—21no—
338#13133190—21no—
339#13133190—21no—
340#13133190—21no—
341#13133190—21no—
342#13133190—21no—
343#13133190—21no—
344#13133190—21no—
345#13133190—21no—
346#13133190—21no—
347#13133190—21no—
348#13133190D411yescharacteristic
349#13133189—21no—
350#13133189—21no—
351#13133189D411yescharacteristic
352#13133188—21no—
353#13133188C2311yescharacteristic
354#13133188C2311yescharacteristic
355#13133187—21no—
356#13133187—21no—
357#13133187—21no—
358#13133187—21no—
359#13133187—21no—
360#13133187—21no—
361#13133187—21no—
362#13133187—21no—
363#13133187—21no—
364#13133187—21no—
365#13133187D411yescharacteristic
366#13133185—21no—
367#13133185—21no—
368#13133185—21no—
369#13133185—21no—
370#13133185—21no—
371#13133185D411yescharacteristic
372Q8×Dic53C2311yescharacteristic
373#13133182C2311yescharacteristic
374C4×D212—21no—
375C4×D212—21no—
376C4×D212C2311yescharacteristic
377C4×D212C2311yescharacteristic
378C4×D212C2311yescharacteristic
379D4×Dic53—21no—
380#13133179—21no—
381#13133179C2311yescharacteristic
382#13133179C2311yescharacteristic
383C4×C22⋊D53—21no—
384C4×C22⋊D53—21no—
385C4×C22⋊D53—21no—
386C4×C22⋊D53C2311yescharacteristic
387C4×C22⋊D53C2311yescharacteristic
388#13133177—21no—
389#13133177—21no—
390#13133176—21no—
391#13133175—21no—
392#13133175C2311yescharacteristic
393#13133175C2311yescharacteristic
394#13133174—21no—
395#13133174C2311yescharacteristic
396C4⋊C4×D53—21no—
397C4⋊C4×D53C2311yescharacteristic
398C2×#11719921—21no—
399C2×#11719921—21no—
400C22⋊C4×D53—21no—
401C22⋊C4×D53—21no—
402C22⋊C4×D53—21no—
403C22⋊C4×D53—21no—
404#13133150C2311yescharacteristic
405#13133150C2311yescharacteristic
406#13133150C2311yescharacteristic
407#13133149C2311yescharacteristic
408#13133148C2311yescharacteristic
409C4⋊#88322C2311yescharacteristic
410#13133146C2311yescharacteristic
411#13133146C2311yescharacteristic
412#13133142C2311yescharacteristic
413#13133141C2311yescharacteristic
414#13133141C2311yescharacteristic
415#13133140C2311yescharacteristic
416#13133139C2311yescharacteristic
417#13133139C2311yescharacteristic
418#13133139C2311yescharacteristic
419#13133139C2311yescharacteristic
420#13133139C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133138C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425#13133137C2311yescharacteristic
426#13133137C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429#13133137C2311yescharacteristic
430#13133137C2311yescharacteristic
431#13133137C2311yescharacteristic
432#13133137C2311yescharacteristic
433#13133137C2311yescharacteristic
434C22⋊#88322C2311yescharacteristic
435C22⋊#88322C2311yescharacteristic
436#13133129C2311yescharacteristic
437#13133129C2311yescharacteristic
438#13133129C2311yescharacteristic
439#13133129C2311yescharacteristic
440#13133129C2311yescharacteristic
441#13133129C2311yescharacteristic
442#13133129C2311yescharacteristic
443#13133129C2311yescharacteristic
444#13133127C2311yescharacteristic
445C4×#88322C2311yescharacteristic
446C8×Dic53C2311yescharacteristic
447C2×#41×C53—21no—
448C2×#41×C53C2311yescharacteristic
449C22×Q8×C53C2311yescharacteristic
450C2×SD16×C53C2311yescharacteristic
451C2×SD16×C53C2311yescharacteristic
452C2×D8×C53C2311yescharacteristic
453C2×M16×C53C2311yescharacteristic
454C22×C8×C53C2311yescharacteristic
455C4⋊Q8×C53C2311yescharacteristic
456#124×C53—21no—
457#124×C53C2311yescharacteristic
458#123×C53—21no—
459#123×C53—21no—
460C22⋊Q8×C53—21no—
461C22⋊Q8×C53—21no—
462C22⋊Q8×C53C2311yescharacteristic
463#121×C53—21no—
464#121×C53C2311yescharacteristic
465#121×C53C2311yescharacteristic
466#121×C53C2311yescharacteristic
467C4×Q8×C53C2311yescharacteristic
468C4×D4×C53—21no—
469C4×D4×C53C2311yescharacteristic
470C4×D4×C53C2311yescharacteristic
471C2×C4⋊C4×C53C2311yescharacteristic
472C2×C4⋊C4×C53C2311yescharacteristic
473#107×C53C2311yescharacteristic
474#107×C53C2311yescharacteristic
475#107×C53C2311yescharacteristic
476C4⋊C8×C53C2311yescharacteristic
477#103×C53C2311yescharacteristic
478#103×C53C2311yescharacteristic
479#103×C53C2311yescharacteristic
480#103×C53C2311yescharacteristic
481#103×C53C2311yescharacteristic
482#103×C53C2311yescharacteristic
483#102×C53C2311yescharacteristic
484#102×C53C2311yescharacteristic
485#102×C53C2311yescharacteristic
486#102×C53C2311yescharacteristic
487C22⋊C8×C53C2311yescharacteristic
488C22⋊C8×C53C2311yescharacteristic
489#97×C53C2311yescharacteristic
490C23×D53—21no—
491C23×D53—21no—
492C23×D53—21no—
493C23×D53—21no—
494C23×D53—21no—
495C23×D53—21no—
496C23×D53C2×D411yescharacteristic
497#41×C53—22no—
498#41×C53—41no—
499#41×C53—82no—
500C2×Q8×C53—21no—
501C2×Q8×C53—21no—
502C2×Q8×C53—22no—
503C2×Q8×C53—41no—
504C2×Q8×C53C2411yescharacteristic
505C2×Q8×C53C2411yescharacteristic
506C2×D4×C53—21no—
507C2×D4×C53—21no—
508C2×D4×C53—21no—
509C2×D4×C53—21no—
510C2×D4×C53C2×D411yescharacteristic
511C2×D4×C53C2411yescharacteristic
512C2×D4×C53C2411yescharacteristic
513C22×C4×C53—21no—
514C22×C4×C53—21no—
515C22×C4×C53—21no—
516C22×C4×C53—21no—
517C22×C4×C53—21no—
518C22×C4×C53C2411yescharacteristic
519C22×C4×C53C2411yescharacteristic
520C2×C22⋊D53—21no—
521C2×C22⋊D53—21no—
522C2×C22⋊D53—21no—
523C2×C22⋊D53—21no—
524C2×C22⋊D53—21no—
525C2×C22⋊D53—21no—
526C2×C22⋊D53—21no—
527C2×C22⋊D53—21no—
528C2×C22⋊D53—21no—
529C2×C22⋊D53—21no—
530C2×C22⋊D53—21no—
531C2×C22⋊D53—21no—
532C2×C22⋊D53—21no—
533C2×C22⋊D53—21no—
534C2×C22⋊D53C2×D411yescharacteristic
535C2×C22⋊D53C2×D411yescharacteristic
536C2×C22⋊D53C2×D411yescharacteristic
537C2×C22⋊D53C2×D411yescharacteristic
538C22×Dic53—21no—
539C22×Dic53C2×D411yescharacteristic
540#11719949—22no—
541#11719949—22no—
542#11719949—22no—
543#11719949—22no—
544#11719949—22no—
545#11719949—41no—
546#11719949—41no—
547#11719949—41no—
548#11719949—41no—
549#11719949—41no—
550#11719949—44no—
551#11719949—44no—
552#11719947—41no—
553#11719947—41no—
554D4×D53—22no—
555D4×D53—41no—
556D4×D53—41no—
557D4×D53—41no—
558D4×D53—41no—
559D4×D53—41no—
560D4×D53—44no—
561D4×D53—44no—
562D4×D53—82no—
563D4×D53—82no—
564D4×D53—82no—
565D4×D53—82no—
566#11719945—41no—
567#11719945—41no—
568#11719945—41no—
569#11719945—41no—
570#11719945—44no—
571C2×D212—21no—
572C2×D212—22no—
573C2×D212—22no—
574C2×D212—21no—
575C2×D212—21no—
576C2×D212—21no—
577C2×D212—21no—
578C2×D212—21no—
579C2×D212—21no—
580C2×D212—21no—
581C2×D212—21no—
582C2×D212—21no—
583C2×D212—21no—
584C2×D212—21no—
585C2×D212—21no—
586C2×D212—21no—
587C2×D212—21no—
588C2×D212—21no—
589C2×D212—21no—
590C2×D212—41no—
591C2×D212—41no—
592C2×D212—41no—
593C2×D212—41no—
594C2×D212—44no—
595C2×D212—44no—
596C2×D212—82no—
597C2×D212C2×D411yescharacteristic
598C2×D212C2×D411yescharacteristic
599C2×D212C2411yescharacteristic
600C2×D212C2411yescharacteristic
601C2×D212C2411yescharacteristic
602C2×D212C2411yescharacteristic
603C2×D212C2411yescharacteristic
604C2×C4×D53—21no—
605C2×C4×D53—21no—
606C2×C4×D53—21no—
607C2×C4×D53—21no—
608C2×C4×D53—21no—
609C2×C4×D53—21no—
610C2×C4×D53—21no—
611C2×C4×D53—21no—
612C2×C4×D53—21no—
613C2×C4×D53—21no—
614C2×C4×D53—21no—
615C2×C4×D53—41no—
616C2×C4×D53—41no—
617C2×C4×D53—44no—
618C2×C4×D53C2×D411yescharacteristic
619C2×C4×D53C2×D411yescharacteristic
620C2×C4×D53C2411yescharacteristic
621C2×C4×D53C2411yescharacteristic
622C2×C4×D53C2411yescharacteristic
623C2×Dic106C2×D411yescharacteristic
624C2×Dic106C2411yescharacteristic
625SD16×C53—22no—
626SD16×C53—41no—
627D8×C53—41no—
628M16×C53—41no—
629C2×C8×C53—41no—
630C2×C8×C53C2411yescharacteristic
631C2×C8×C53C2411yescharacteristic
632C2×C8×C53C2411yescharacteristic
633C2×C8×C53C2411yescharacteristic
634C4⋊C4×C53—21no—
635C4⋊C4×C53—21no—
636C4⋊C4×C53—21no—
637C4⋊C4×C53—21no—
638C4⋊C4×C53—21no—
639C4⋊C4×C53C2×D411yescharacteristic
640C4⋊C4×C53C2411yescharacteristic
641C4⋊C4×C53C2411yescharacteristic
642C4⋊C4×C53C2411yescharacteristic
643C4⋊C4×C53C2411yescharacteristic
644C22⋊C4×C53—21no—
645C22⋊C4×C53—21no—
646C22⋊C4×C53—21no—
647C22⋊C4×C53—21no—
648C22⋊C4×C53—21no—
649C22⋊C4×C53—21no—
650C22⋊C4×C53—21no—
651C22⋊C4×C53C2×D411yescharacteristic
652C22⋊C4×C53C2×D411yescharacteristic
653C42×C53—21no—
654C42×C53C2411yescharacteristic
655C22⋊Dic53—21no—
656C22⋊Dic53—21no—
657C22⋊Dic53—21no—
658C22⋊Dic53C2×D411yescharacteristic
659C22⋊Dic53C2×D411yescharacteristic
660#11719925—22no—
661#11719925—41no—
662#11719924—22no—
663#11719924—22no—
664#11719924—41no—
665#11719924—41no—
666#11719923—41no—
667#11719922—22no—
668#11719922—41no—
669#11719922—41no—
670#11719922—41no—
671#11719922—41no—
672#11719921—21no—
673#11719921—21no—
674#11719921—21no—
675#11719921—21no—
676#11719921—21no—
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#11719921—21no—
694#11719921—21no—
695#11719921C2×D411yescharacteristic
696#11719921C2×D411yescharacteristic
697#11719921C2×D411yescharacteristic
698#11719921C2×D411yescharacteristic
699#11719921C2×D411yescharacteristic
700#11719921C2×D411yescharacteristic
701C4⋊Dic53—21no—
702C4⋊Dic53—21no—
703C4⋊Dic53—21no—
704C4⋊Dic53—21no—
705C4⋊Dic53C2×D411yescharacteristic
706C4⋊Dic53C2411yescharacteristic
707C4⋊Dic53C2411yescharacteristic
708#11719919—21no—
709#11719919—21no—
710#11719919—21no—
711#11719919—21no—
712#11719919—21no—
713#11719919C2×D411yescharacteristic
714#11719919C2×D411yescharacteristic
715#11719919C2×D411yescharacteristic
716#11719919C2×D411yescharacteristic
717C4×Dic53—21no—
718C4×Dic53—21no—
719C4×Dic53—21no—
720C4×Dic53—21no—
721C4×Dic53C2411yescharacteristic
722C2×#88322—41no—
723C2×#88322—41no—
724C2×#88322C2411yescharacteristic
725C2×#88322C2411yescharacteristic
726C2×#88322C2411yescharacteristic
727C2×#88322C2411yescharacteristic
728D424—22no—
729D424—22no—
730D424—41no—
731D424—41no—
732D424—41no—
733D424—41no—
734#11719913—22no—
735#11719913—41no—
736#11719913—41no—
737#11719912—41no—
738C8×D53—41no—
739C8×D53—41no—
740C8×D53—41no—
741C23×C53—21no—
742C23×C53—21no—
743C23×C53C22×D411yescharacteristic
744C23×C53C22×D411yescharacteristic
745C22×D53—21no—
746C22×D53—22no—
747C22×D53—21no—
748C22×D53—21no—
749C22×D53—21no—
750C22×D53—21no—
751C22×D53—41no—
752C22×D53—41no—
753C22×D53—42no—
754C22×D53—42no—
755C22×D53—42no—
756C22×D53—42no—
757C22×D53—42no—
758C22×D53—42no—
759C22×D53—81no—
760C22×D53—81no—
761C22×D53—81no—
762C22×D53—81no—
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×D53C22×D411yescharacteristic
772C22×D53C22×D411yescharacteristic
773C22×D53C22×D411yescharacteristic
774Q8×C53—21no—
775Q8×C53—21no—
776Q8×C53—21no—
777Q8×C53—42no—
778Q8×C53—81no—
779Q8×C53H(5,𝔽2)12yes—
780D4×C53—22no—
781D4×C53—21no—
782D4×C53—21no—
783D4×C53—21no—
784D4×C53—21no—
785D4×C53—42no—
786D4×C53—42no—
787D4×C53—42no—
788D4×C53—81no—
789C2×C4×C53—21no—
790C2×C4×C53—21no—
791C2×C4×C53—21no—
792C2×C4×C53—21no—
793C2×C4×C53—21no—
794C2×C4×C53—21no—
795C2×C4×C53—21no—
796C2×C4×C53—21no—
797C2×C4×C53—21no—
798C2×C4×C53—21no—
799C2×C4×C53—42no—
800C2×C4×C53—42no—
801C2×C4×C53—42no—
802C2×C4×C53—81no—
803C2×C4×C53—81no—
804C2×C4×C53C22×D411yescharacteristic
805C2×C4×C53C22×D411yescharacteristic
806C2×C4×C53C22×D411yescharacteristic
807C2×C4×C53C22×D411yescharacteristic
808C2×C4×C53C2511yescharacteristic
809C22⋊D53—22no—
810C22⋊D53—41no—
811C22⋊D53—41no—
812C22⋊D53—41no—
813C22⋊D53—42no—
814C22⋊D53—42no—
815C22⋊D53—42no—
816C22⋊D53—81no—
817C22⋊D53—81no—
818C22⋊D53—81no—
819C22⋊D53—81no—
820C22⋊D53—81no—
821C22⋊D53—81no—
822C22⋊D53—81no—
823C22⋊D53—81no—
824C22⋊D53—81no—
825C22⋊D53—81no—
826C22⋊D53—81no—
827C2×Dic53—21no—
828C2×Dic53—21no—
829C2×Dic53—21no—
830C2×Dic53—41no—
831C2×Dic53—81no—
832C2×Dic53C22×D411yescharacteristic
833C2×Dic53C22×D411yescharacteristic
834C2×Dic53C22×D411yescharacteristic
835C2×Dic53C22×D411yescharacteristic
836C2×Dic53C22×D411yescharacteristic
837D212—24no—
838D212—21no—
839D212—21no—
840D212—21no—
841D212—21no—
842D212—21no—
843D212—21no—
844D212—21no—
845D212—21no—
846D212—21no—
847D212—41no—
848D212—41no—
849D212—42no—
850D212—42no—
851D212—42no—
852D212—42no—
853D212—42no—
854D212—42no—
855D212—81no—
856D212—81no—
857D212—81no—
858D212—81no—
859D212—81no—
860D212—81no—
861D212—81no—
862D212—81no—
863D212—81no—
864D212—81no—
865D212H(5,𝔽2)12yes—
866C4×D53—24no—
867C4×D53—21no—
868C4×D53—21no—
869C4×D53—21no—
870C4×D53—21no—
871C4×D53—21no—
872C4×D53—21no—
873C4×D53—41no—
874C4×D53—41no—
875C4×D53—42no—
876C4×D53—42no—
877C4×D53—42no—
878C4×D53—42no—
879C4×D53—81no—
880C4×D53—81no—
881C4×D53—81no—
882C4×D53—81no—
883C4×D53—81no—
884C4×D53—81no—
885Dic106—21no—
886Dic106—21no—
887Dic106—41no—
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—41no—
903C22×C53—41no—
904C22×C53—41no—
905C22×C53—41no—
906C22×C53—41no—
907C22×C53—41no—
908C22×C53#57612yes—
909C22×C53C23×D411yescharacteristic
910C2×D53—21no—
911C2×D53—21no—
912C2×D53—21no—
913C2×D53—21no—
914C2×D53—22no—
915C2×D53—21no—
916C2×D53—21no—
917C2×D53—21no—
918C2×D53—21no—
919C2×D53—21no—
920C2×D53—41no—
921C2×D53—41no—
922C2×D53—41no—
923C2×D53—41no—
924C2×D53—41no—
925C2×D53—41no—
926C2×D53—41no—
927C2×D53—41no—
928C2×D53—41no—
929C2×D53—41no—
930C2×D53—41no—
931C2×D53—41no—
932C2×D53—41no—
933C2×D53—41no—
934C2×D53—82no—
935C2×D53—84no—
936C2×D53—162no—
937C2×D53—162no—
938C2×D53—162no—
939C2×D53—162no—
940C2×D53—162no—
941C4×C53—21no—
942C4×C53—21no—
943C4×C53—22no—
944C4×C53—21no—
945C4×C53—21no—
946C4×C53—41no—
947C4×C53—41no—
948C4×C53—41no—
949C4×C53—41no—
950C4×C53—41no—
951C4×C53C2×H(5,𝔽2)11yescharacteristic
952C4×C53C2×H(5,𝔽2)11yescharacteristic
953Dic53—21no—
954Dic53—21no—
955Dic53—21no—
956Dic53—21no—
957Dic53—21no—
958Dic53—41no—
959Dic53—41no—
960Dic53—41no—
961#3542—531no—
962#3488—531no—
963#3319—531no—
964#3310—531no—
965#3309—531no—
966#3308D5311yescharacteristic, complemented
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×#449—531no—
991#2977—531no—
992C2×C53—22no—
993C2×C53—41no—
994C2×C53—81no—
995C2×C53—81no—
996C2×C53#348411yescharacteristic
997C2×C53C2×#57611yescharacteristic
998C2×C53#358411yescharacteristic
999D53—41no—
1000D53—41no—
1001D53—41no—
1002D53—42no—
1003D53—81no—
1004D53—81no—
1005D53—81no—
1006D53—81no—
1007C2×H(5,𝔽2)—531no—
1008C22×#41—531no—
1009C2×AGL(1,ℤ/8)—531no—
1010C2×AGL(1,ℤ/8)—531no—
1011C2×#135—531no—
1012C2×#135—531no—
1013C2×#135—531no—
1014C22×SD16—531no—
1015C22×D8—531no—
1016C22×D8—531no—
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#548C2×D5311yescharacteristic, complemented
1028#547C2×D5311yescharacteristic, complemented
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—531no—
1058C2×#121—1061no—
1059#520—531no—
1060#496—531no—
1061#496—531no—
1062#495—531no—
1063#493—531no—
1064#490—531no—
1065#489C2×D5311yescharacteristic, complemented
1066#488—531no—
1067#486—531no—
1068#485—531no—
1069#484—531no—
1070#484C2×D5311yescharacteristic, complemented
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#480C2×D5311yescharacteristic, complemented
1080#479—531no—
1081#478—531no—
1082#477C2×D5311yescharacteristic, complemented
1083#474—531no—
1084#469—531no—
1085#468—531no—
1086#468—531no—
1087#468C2×D5311yescharacteristic, complemented
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#466C2×D5311yescharacteristic, complemented
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#463C2×D5311yescharacteristic, complemented
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#449—531no—
1130#449—531no—
1131#449—531no—
1132#449—531no—
1133#449—531no—
1134#449—531no—
1135#449—531no—
1136#449C2×D5311yescharacteristic, complemented
1137#448C2×D5311yescharacteristic, complemented
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#440C2×D5311yescharacteristic, complemented
1152C4×Q16—531no—
1153C4×SD16—531no—
1154C4×D8—531no—
1155C4×D8—531no—
1156#435—531no—
1157#435—531no—
1158#435—531no—
1159#435C2×D5311yescharacteristic, complemented
1160C8×D4—531no—
1161C8×D4—531no—
1162C8×D4—531no—
1163C8×D4—531no—
1164#433—531no—
1165#433—531no—
1166#418—531no—
1167#417C2×D5311yescharacteristic, complemented
1168#416—531no—
1169#416—531no—
1170#416—531no—
1171C2×#103C2×D5311yescharacteristic, complemented
1172C2×#102—531no—
1173C2×#102—531no—
1174#408—531no—
1175#408—531no—
1176C2×C22⋊C8—531no—
1177C2×C22⋊C8—531no—
1178C53#6163911yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—2122no—
1180H(5,𝔽2)—2122no—
1181C2×#41—21no—
1182C2×#41—531no—
1183C2×#41—531no—
1184C2×#41—531no—
1185C2×#41—531no—
1186C2×#41—531no—
1187C2×#41—531no—
1188C2×#41—531no—
1189C2×#41—531no—
1190C2×#41—1061no—
1191C2×#41—1061no—
1192C2×#41—1061no—
1193C2×#41—2122no—
1194C2×#41—2122no—
1195C2×#41C22×D5311yescharacteristic
1196C22×Q8C22×D5311yescharacteristic
1197C22×D4—531no—
1198C22×D4—531no—
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×D4—1061no—
1211C22×D4—1061no—
1212C23×C4—531no—
1213C23×C4—1061no—
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—531no—
1222C2×SD16—531no—
1223C2×SD16—531no—
1224C2×SD16—531no—
1225C2×SD16—531no—
1226C2×SD16—531no—
1227C2×SD16—531no—
1228C2×SD16—531no—
1229C2×SD16—2122no—
1230C2×SD16C22×D5311yescharacteristic
1231C2×SD16C22×D5311yescharacteristic
1232C2×D8—531no—
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—531no—
1242C2×D8—531no—
1243C2×D8—2122no—
1244C2×D8—2122no—
1245C2×D8C22×D5311yescharacteristic
1246C2×M16—531no—
1247C2×M16C22×D5311yescharacteristic
1248C22×C8—531no—
1249C22×C8—531no—
1250C22×C8—531no—
1251C22×C8—531no—
1252C22×C8—531no—
1253C22×C8C22×D5311yescharacteristic
1254C4⋊Q8C22×D5311yescharacteristic
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—21no—
1268#124—531no—
1269#124—531no—
1270#124—1061no—
1271#124—1061no—
1272#124—1061no—
1273#124—1061no—
1274#124—1061no—
1275#124C22×D5311yescharacteristic
1276#123—21no—
1277#123—21no—
1278#123—531no—
1279#123—531no—
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—21no—
1291C22⋊Q8—21no—
1292C22⋊Q8—531no—
1293C22⋊Q8—531no—
1294C22⋊Q8—531no—
1295C22⋊Q8—531no—
1296C22⋊Q8—531no—
1297C22⋊Q8—531no—
1298C22⋊Q8—1061no—
1299C22⋊Q8—1061no—
1300C22⋊Q8—1061no—
1301C22⋊Q8—1061no—
1302C22⋊Q8C22×D5311yescharacteristic
1303#121—21no—
1304#121—531no—
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#121—1061no—
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×Q8C22×D5311yescharacteristic
1371C4×D4—21no—
1372C4×D4—531no—
1373C4×D4—531no—
1374C4×D4—531no—
1375C4×D4—531no—
1376C4×D4—531no—
1377C4×D4—531no—
1378C4×D4—531no—
1379C4×D4—1061no—
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×D4C22×D5311yescharacteristic
1389C4×D4C22×D5311yescharacteristic
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—1061no—
1398C2×C4⋊C4C22×D5311yescharacteristic
1399C2×C4⋊C4C22×D5311yescharacteristic
1400C2×C22⋊C4—1061no—
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#107C22×D5311yescharacteristic
1410#107C22×D5311yescharacteristic
1411#107C22×D5311yescharacteristic
1412#106—531no—
1413#106—531no—
1414C4⋊C8—531no—
1415C4⋊C8—531no—
1416C4⋊C8—531no—
1417C4⋊C8C22×D5311yescharacteristic
1418#103—531no—
1419#103—531no—
1420#103—531no—
1421#103—531no—
1422#103C22×D5311yescharacteristic
1423#103C22×D5311yescharacteristic
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⋊C8—531no—
1459C22⋊C8—531no—
1460C22⋊C8C22×D5311yescharacteristic
1461C22⋊C8C22×D5311yescharacteristic
1462#97—531no—
1463#97C22×D5311yescharacteristic
1464C4×C8—531no—
1465C4×C8—531no—
1466C24—531no—
1467C24—1061no—
1468C24—1061no—
1469C24—1061no—
1470C24—1061no—
1471C24—1061no—
1472C24—1061no—
1473#41—22no—
1474#41—41no—
1475#41—82no—
1476#41—1062no—
1477#41—1062no—
1478#41—1062no—
1479#41—1062no—
1480#41—1062no—
1481#41—2121no—
1482#41—2121no—
1483#41—2121no—
1484#41—2121no—
1485#41—2124no—
1486#41—2121no—
1487#41—2121no—
1488#41—2121no—
1489#41—2121no—
1490#41—2121no—
1491#41—2121no—
1492#41—2121no—
1493#41—2124no—
1494#41—2124no—
1495C2×Q8—21no—
1496C2×Q8—21no—
1497C2×Q8—22no—
1498C2×Q8—41no—
1499C2×Q8—531no—
1500C2×Q8—531no—
1501C2×Q8C23×D5311yescharacteristic
1502C2×Q8C23×D5311yescharacteristic
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—531no—
1508C2×D4—531no—
1509C2×D4—531no—
1510C2×D4—531no—
1511C2×D4—531no—
1512C2×D4—531no—
1513C2×D4—531no—
1514C2×D4—531no—
1515C2×D4—531no—
1516C2×D4—531no—
1517C2×D4—531no—
1518C2×D4—1062no—
1519C2×D4—1062no—
1520C2×D4—1061no—
1521C2×D4—1061no—
1522C2×D4—1061no—
1523C2×D4—1061no—
1524C2×D4—1061no—
1525C2×D4—1061no—
1526C2×D4—1061no—
1527C2×D4—1061no—
1528C2×D4—1061no—
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—1062no—
1540C2×D4—1061no—
1541C2×D4—1061no—
1542C2×D4—1061no—
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—4242no—
1553C2×D4—4242no—
1554C2×D4—4242no—
1555C2×D4—4242no—
1556C2×D4—4242no—
1557C2×D4—2121no—
1558C2×D4—2121no—
1559C2×D4—2121no—
1560C2×D4—2121no—
1561C2×D4—2124no—
1562C2×D4—2124no—
1563C2×D4—2121no—
1564C2×D4—2121no—
1565C2×D4—2121no—
1566C2×D4—2121no—
1567C2×D4—2121no—
1568C2×D4—2124no—
1569C2×D4—2124no—
1570C2×D4D4×D5311yescharacteristic
1571C2×D4C23×D5311yescharacteristic
1572C2×D4C23×D5311yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—21no—
1578C22×C4—531no—
1579C22×C4—531no—
1580C22×C4—531no—
1581C22×C4—531no—
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×C4—1061no—
1596C22×C4—2121no—
1597C22×C4—2121no—
1598C22×C4—2124no—
1599C22×C4C23×D5311yescharacteristic
1600C22×C4C23×D5311yescharacteristic
1601Q16—1062no—
1602Q16—2121no—
1603SD16—22no—
1604SD16—41no—
1605SD16—1062no—
1606SD16—1062no—
1607SD16—1062no—
1608SD16—2121no—
1609SD16—2121no—
1610SD16—2121no—
1611SD16—2121no—
1612SD16—2121no—
1613D8—41no—
1614D8—1062no—
1615D8—1062no—
1616D8—1062no—
1617D8—2121no—
1618D8—2121no—
1619D8—2121no—
1620D8—2121no—
1621D8—2121no—
1622D8—2121no—
1623D8—2121no—
1624D8—2121no—
1625M16—41no—
1626M16—2121no—
1627C2×C8—41no—
1628C2×C8—531no—
1629C2×C8—531no—
1630C2×C8—531no—
1631C2×C8—531no—
1632C2×C8—2121no—
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—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—21no—
1646C4⋊C4—531no—
1647C4⋊C4—531no—
1648C4⋊C4—531no—
1649C4⋊C4—531no—
1650C4⋊C4—531no—
1651C4⋊C4—531no—
1652C4⋊C4—531no—
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⋊C4D4×D5311yescharacteristic
1663C4⋊C4C23×D5311yescharacteristic
1664C4⋊C4C23×D5311yescharacteristic
1665C4⋊C4C23×D5311yescharacteristic
1666C4⋊C4C23×D5311yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—531no—
1675C22⋊C4—531no—
1676C22⋊C4—531no—
1677C22⋊C4—531no—
1678C22⋊C4—531no—
1679C22⋊C4—531no—
1680C22⋊C4—531no—
1681C22⋊C4—531no—
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⋊C4D4×D5311yescharacteristic
1709C22⋊C4D4×D5311yescharacteristic
1710C42—21no—
1711C42—531no—
1712C42—1061no—
1713C42—1061no—
1714C42—1061no—
1715C42—1061no—
1716C42C23×D5311yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—531no—
1720C23—531no—
1721C23—531no—
1722C23—1062no—
1723C23—1061no—
1724C23—1061no—
1725C23—1061no—
1726C23—1061no—
1727C23—1061no—
1728C23—4241no—
1729C23—4241no—
1730C23—4241no—
1731C23—4241no—
1732C23—4241no—
1733C23—4241no—
1734C23—4241no—
1735C23—4241no—
1736C23—4241no—
1737C23—4241no—
1738C23—4241no—
1739C23—4241no—
1740C23—2122no—
1741C23—2121no—
1742C23—2121no—
1743C23—2122no—
1744C23—2122no—
1745C23—2122no—
1746C23—2122no—
1747C23—2122no—
1748C23C2×D4×D5311yescharacteristic
1749C23C2×D4×D5311yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—42no—
1754Q8—81no—
1755Q8—1061no—
1756Q8—1061no—
1757Q8—2121no—
1758Q8#1313326312yes—
1759D4—22no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—42no—
1765D4—42no—
1766D4—42no—
1767D4—81no—
1768D4—532no—
1769D4—1064no—
1770D4—1062no—
1771D4—1061no—
1772D4—1061no—
1773D4—1061no—
1774D4—1061no—
1775D4—1061no—
1776D4—1061no—
1777D4—1061no—
1778D4—1061no—
1779D4—1061no—
1780D4—4241no—
1781D4—4241no—
1782D4—4241no—
1783D4—4241no—
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—2121no—
1803D4—2122no—
1804D4—2122no—
1805D4—2122no—
1806D4—2122no—
1807D4—2122no—
1808D4—2122no—
1809D4—2121no—
1810D4—2121no—
1811D4—2121no—
1812D4—2122no—
1813D4—2122no—
1814D4—2122no—
1815C2×C4—21no—
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—42no—
1826C2×C4—42no—
1827C2×C4—42no—
1828C2×C4—81no—
1829C2×C4—81no—
1830C2×C4—531no—
1831C2×C4—531no—
1832C2×C4—531no—
1833C2×C4—531no—
1834C2×C4—531no—
1835C2×C4—1064no—
1836C2×C4—1061no—
1837C2×C4—1061no—
1838C2×C4—1061no—
1839C2×C4—1061no—
1840C2×C4—1061no—
1841C2×C4—1061no—
1842C2×C4—1061no—
1843C2×C4—1061no—
1844C2×C4—1061no—
1845C2×C4—4241no—
1846C2×C4—4241no—
1847C2×C4—4241no—
1848C2×C4—4241no—
1849C2×C4—4241no—
1850C2×C4—4241no—
1851C2×C4—4241no—
1852C2×C4—2121no—
1853C2×C4—2121no—
1854C2×C4—2122no—
1855C2×C4—2122no—
1856C2×C4—2122no—
1857C2×C4—2122no—
1858C2×C4—2121no—
1859C2×C4C2×D4×D5311yescharacteristic
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—21no—
1876C22—21no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—8482no—
1884C22—8482no—
1885C22—8482no—
1886C22—8482no—
1887C22—8482no—
1888C22—1062no—
1889C22—1061no—
1890C22—1061no—
1891C22—1061no—
1892C22—1061no—
1893C22—1061no—
1894C22—1061no—
1895C22—1061no—
1896C22—1061no—
1897C22—1061no—
1898C22—4244no—
1899C22—4242no—
1900C22—2121no—
1901C22—2121no—
1902C22—2121no—
1903C22—2121no—
1904C22—2121no—
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—21no—
1918C4—22no—
1919C4—21no—
1920C4—21no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—41no—
1926C4—1061no—
1927C4—1061no—
1928C4—1061no—
1929C4—1061no—
1930C4—1061no—
1931C4—2121no—
1932C4—2121no—
1933C4—2121no—
1934C4H(5,𝔽2)×D5311yescharacteristic
1935C4C2×#1313326311yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—81no—
1939C2—81no—
1940C2—4241no—
1941C2—4241no—
1942C2—4241no—
1943C2—4241no—
1944C2—2121no—
1945C2—2121no—
1946C2—2122no—
1947C2—2121no—
1948C2#2028834511yescharacteristic
1949C2C2×#1681142711yescharacteristic
1950C2#2028948511yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3308C2
socleC22×C53C23×D4
hypercenter#3308D53
hypocenterC53#61639
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #20289032C2semidirect
2. #20288381C2semidirect
3. #20286870C2semidirect
4. #20286734C2semidirect
5. #20286722C2semidirect
6. #20286662C2semidirect
7. #20286598C2semidirect
8. #20286563C2semidirect
9. #20286522C2semidirect
10. #20286468C2semidirect
11. #20286423C2semidirect
12. #20286395C2semidirect
13. #20286389C2semidirect
14. #20286262C2semidirect
15. #20286257C2semidirect
16. #20286203C2semidirect
17. #20286200C2semidirect
18. #20285810C2semidirect
19. #20285762C2semidirect
20. #20285619C2semidirect
21. #20285568C2semidirect
22. #20285475C2semidirect
23. #20285465C2semidirect
24. #20284984C2semidirect
25. #20284912C2semidirect
26. #20284021C2semidirect
27. #20283980C2semidirect
28. #20283932C2semidirect
29. C2×#16810771C2semidirect
30. #20283766C2semidirect
31. C53×#3308C2semidirect
32. C2×#13133263C22semidirect
33. C22×#11719949C22semidirect
34. C2×#13133245C22semidirect
35. C2×#13133244C22semidirect
36. C2×#13133238C22semidirect
37. C2×#13133238C22semidirect
38. C2×#13133237C22semidirect
39. C22×#11719924C22semidirect
40. C22×D424C22semidirect
41. C2×D8×D53C22semidirect
44. #16811339C22semidirect
45. #16811321C22semidirect
46. #16811308C22semidirect
48. #16811295C22semidirect
49. #16811292C22semidirect
50. #16811291C22semidirect
52. #16811269C22semidirect
53. #16811268C22semidirect
55. #16811266C22semidirect
57. #16811264C22semidirect
60. D4×D212C22semidirect
63. #16811257C22semidirect
64. #16811247C22semidirect
66. #16811224C22semidirect
68. #16811204C22semidirect
70. #16811203C22semidirect
72. #16811191C22semidirect
73. #16811189C22semidirect
76. #16811133C22semidirect
79. C2×#13133192C22semidirect
81. #121×D53C22semidirect
82. #16811105C22semidirect
83. #16811012C22semidirect
84. #16811009C22semidirect
85. #16811005C22semidirect
86. #16810998C22semidirect
87. #16810986C22semidirect
88. #16810979C22semidirect
89. #16810971C22semidirect
90. #16810962C22semidirect
91. #16810960C22semidirect
92. #16810950C22semidirect
93. #16810950C22semidirect
94. #16810946C22semidirect
95. #16810940C22semidirect
96. #16810938C22semidirect
97. #16810938C22semidirect
98. #16810936C22semidirect
99. #16810936C22semidirect
100. #16810928C22semidirect
101. #16810926C22semidirect
102. #16810900C22semidirect
103. #16810876C22semidirect
104. #16810872C22semidirect
105. #16810870C22semidirect
106. #16810863C22semidirect
107. #16810860C22semidirect
108. #16810860C22semidirect
109. #16810860C22semidirect
110. #16810858C22semidirect
111. #16810858C22semidirect
112. #16810857C22semidirect
113. #16810857C22semidirect
114. #16810854C22semidirect
115. #16810852C22semidirect
116. #16810850C22semidirect
117. #16810848C22semidirect
118. #16810845C22semidirect
119. #16810841C22semidirect
120. #16810839C22semidirect
121. #16810835C22semidirect
122. #16810822C22semidirect
123. #16810821C22semidirect
124. #16810819C22semidirect
125. #16810818C22semidirect
126. #16810817C22semidirect
127. #16810817C22semidirect
128. #16810788C22semidirect
129. #16810788C22semidirect
130. #16810788C22semidirect
131. #16810783C22semidirect
132. #16810779C22semidirect
133. #16810776C22semidirect
134. #16810775C22semidirect
135. #16810775C22semidirect
136. #16810772C22semidirect
138. #16810771C22semidirect
139. #16810771C22semidirect
140. #16810771C22semidirect
141. #16810771C22semidirect
142. #16810771C22semidirect
143. #16810771C22semidirect
144. #16810771C22semidirect
145. #16810771C22semidirect
146. #16810770C22semidirect
147. #16810769C22semidirect
148. #16810768C22semidirect
149. #16810767C22semidirect
150. #16810767C22semidirect
151. #16810765C22semidirect
152. #16810759C22semidirect
153. #16810759C22semidirect
154. #16810758C22semidirect
155. #16810758C22semidirect
156. #16810758C22semidirect
157. #16810758C22semidirect
158. #16810756C22semidirect
159. #16810756C22semidirect
160. #16810756C22semidirect
161. #16810755C22semidirect
162. #16810736C22semidirect
163. #16810726C22semidirect
164. #16810722C22semidirect
165. #16810715C22semidirect
166. C4×#11719924C22semidirect
167. #16810705C22semidirect
168. C4×#11719922C22semidirect
169. #16810696C22semidirect
170. #16810692C22semidirect
171. #16810691C22semidirect
172. D4×#88322C22semidirect
173. #16810688C22semidirect
174. C8×C22⋊D53C22semidirect
175. #16810686C22semidirect
176. #16810685C22semidirect
177. #16810683C22semidirect
178. #16810626C22semidirect
179. #16810618C22semidirect
180. #16810618C22semidirect
181. #16810618C22semidirect
182. C2×#13133137C22semidirect
183. C2×#13133137C22semidirect
184. #16810591C22semidirect
185. #16810588C22semidirect
186. C2×#13133129C22semidirect
187. C22⋊C8×D53C22semidirect
188. C53×#548C22semidirect
189. C53×#547C22semidirect
190. C53×#489C22semidirect
191. C53×#484C22semidirect
192. C53×#480C22semidirect
193. C53×#477C22semidirect
194. C53×#468C22semidirect
195. C53×#466C22semidirect
196. C53×#463C22semidirect
197. C53×#449C22semidirect
198. C53×#448C22semidirect
199. C53×#440C22semidirect
200. C53×#435C22semidirect
201. C53×#417C22semidirect
202. C2×#103×C53C22semidirect
966. #3308D53semidirect
1027. #548C2×D53semidirect
1028. #547C2×D53semidirect
1065. #489C2×D53semidirect
1070. #484C2×D53semidirect
1079. #480C2×D53semidirect
1082. #477C2×D53semidirect
1087. #468C2×D53semidirect
1096. #466C2×D53semidirect
1105. #463C2×D53semidirect
1136. #449C2×D53semidirect
1137. #448C2×D53semidirect
1151. #440C2×D53semidirect
1159. #435C2×D53semidirect
1167. #417C2×D53semidirect
1171. C2×#103C2×D53semidirect
1178. C53#61639semidirect

Maximal subgroups

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

subgroupindex
#202890322
#202883812
#202868702
#202867342
#202867222
#202866622
#202865982
#202865632
#202865222
#202864682
#202864232
#202863952
#202863892
#202862622
#202862572
#202862032
#202862002
#202858102
#202857622
#202856192
#202855682
#202854752
#202854652
#202849842
#202849122
#202840212
#202839802
#202839322
C2×#168107712
#202837662
C53×#33082
#6163953