Finite Group Databasebeta

← #28256034

Subgroups — #28256034

Order 13568.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1898 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288505C211yesmaximal, characteristic, complemented
2#20288129C211yesmaximal, characteristic, complemented
3#20285825C211yesmaximal, characteristic, complemented
4#20285822C211yesmaximal, characteristic, complemented
5#20285810C211yesmaximal, characteristic, complemented
6#20285805C211yesmaximal, characteristic, complemented
7#20285772C211yesmaximal, characteristic, complemented
8#20285771C211yesmaximal, characteristic, complemented
9#20285761C211yesmaximal, characteristic, complemented
10#20285760C211yesmaximal, characteristic, complemented
11#20285754C211yesmaximal, characteristic, complemented
12#20285751C211yesmaximal, characteristic, complemented
13#20285700C211yesmaximal, characteristic, complemented
14#20285680C211yesmaximal, characteristic, complemented
15#20285678C211yesmaximal, characteristic, complemented
16#20285647C211yesmaximal, characteristic, complemented
17#20285644C211yesmaximal, characteristic, complemented
18#20285199C211yesmaximal, characteristic, complemented
19#20285188C211yesmaximal, characteristic, complemented
20#20285077C211yesmaximal, characteristic, complemented
21#20285066C211yesmaximal, characteristic, complemented
22#20284204C211yesmaximal, characteristic, complemented
23#20284177C211yesmaximal, characteristic, complemented
24#20284167C211yesmaximal, characteristic, complemented
25#463×D53C211yesmaximal, characteristic, complemented
26#20284025C211yesmaximal, characteristic, complemented
27#20284014C211yesmaximal, characteristic, complemented
28#20283996C211yesmaximal, characteristic, complemented
29#20283978C211yesmaximal, characteristic, complemented
30#20283382C211yesmaximal, characteristic, complemented
31C53×#3213C211yesmaximal, characteristic, complemented
32C2×#13133265C2211yescharacteristic
33C2×#13133262C2211yescharacteristic
34C2×#13133246C2211yescharacteristic, complemented
35C2×#13133244C2211yescharacteristic, complemented
36C2×#13133241C2211yescharacteristic
37C2×#13133241C2211yescharacteristic
38C2×#13133238C2211yescharacteristic, complemented
39C2×#13133236C2211yescharacteristic
40C2×SD16×D53C2211yescharacteristic, complemented
41C2×D8×D53C2211yescharacteristic
42#16811281—21no—
43#16811281—21no—
44#16811266—21no—
45#16811266—21no—
46#16811263—21no—
47#16811263—21no—
48#16811263—21no—
49#16811263—21no—
50#16811250C2211yescharacteristic, complemented
51#16811247C2211yescharacteristic, complemented
52#16811240C2211yescharacteristic, complemented
53#16811237—21no—
54#16811227C2211yescharacteristic, complemented
55#16811226C2211yescharacteristic, complemented
56#16811223—21no—
57#16811207—21no—
58#16811205—21no—
59#16811202C2211yescharacteristic
60#16811197C2211yescharacteristic, complemented
61#16811193C2211yescharacteristic
62#16811193C2211yescharacteristic, complemented
63#16811191C2211yescharacteristic
64#16811191C2211yescharacteristic, complemented
65#16811190C2211yescharacteristic, complemented
66#16811189C2211yescharacteristic
67#16811186C2211yescharacteristic, complemented
68#16811173C2211yescharacteristic, complemented
69#16811172C2211yescharacteristic
70#16811172C2211yescharacteristic, complemented
71#16811170C2211yescharacteristic, complemented
72#16811169—21no—
73#16811157C2211yescharacteristic, complemented
74#16811155C2211yescharacteristic, complemented
75#16811153—21no—
76#124×D53C2211yescharacteristic
77#124×D53C2211yescharacteristic, complemented
78#16811132—21no—
79#16811130—21no—
80C4×#11719945C2211yescharacteristic
81C4×#11719947C2211yescharacteristic, complemented
82C4×D4×D53C2211yescharacteristic, complemented
83#16811017C2211yescharacteristic, complemented
84#16811014C2211yescharacteristic, complemented
85#16811012C2211yescharacteristic, complemented
86#16811011C2211yescharacteristic, complemented
87#16811011C2211yescharacteristic, complemented
88#16811009C2211yescharacteristic, complemented
89#16811006C2211yescharacteristic, complemented
90#16811005C2211yescharacteristic, complemented
91#16811005C2211yescharacteristic, complemented
92#16811004C2211yescharacteristic, complemented
93#16810999C2211yescharacteristic, complemented
94#16810998C2211yescharacteristic, complemented
95#16810995C2211yescharacteristic, complemented
96#16810994C2211yescharacteristic, complemented
97#16810992C2211yescharacteristic, complemented
98#16810990C2211yescharacteristic, complemented
99#16810988C2211yescharacteristic, complemented
100#16810986C2211yescharacteristic, complemented
101#16810984C2211yescharacteristic, complemented
102#16810981C2211yescharacteristic, complemented
103#16810979C2211yescharacteristic, complemented
104#16810977C2211yescharacteristic, complemented
105#16810977C2211yescharacteristic, complemented
106#16810976C2211yescharacteristic, complemented
107#16810975C2211yescharacteristic, complemented
108#16810972C2211yescharacteristic, complemented
109#16810971C2211yescharacteristic, complemented
110#16810968C2211yescharacteristic, complemented
111#16810848C2211yescharacteristic, complemented
112#16810846C2211yescharacteristic, complemented
113#16810846C2211yescharacteristic, complemented
114#16810844C2211yescharacteristic, complemented
115#16810842C2211yescharacteristic, complemented
116#16810842C2211yescharacteristic, complemented
117#16810841C2211yescharacteristic, complemented
118#16810840C2211yescharacteristic, complemented
119#16810840C2211yescharacteristic, complemented
120#16810839C2211yescharacteristic, complemented
121#16810839C2211yescharacteristic, complemented
122#16810838C2211yescharacteristic, complemented
123#16810838C2211yescharacteristic, complemented
124#16810838C2211yescharacteristic, complemented
125#16810838C2211yescharacteristic, complemented
126#16810837C2211yescharacteristic, complemented
127#16810836C2211yescharacteristic, complemented
128#16810836C2211yescharacteristic, complemented
129#16810835C2211yescharacteristic, complemented
130#16810835C2211yescharacteristic, complemented
131#16810832C2211yescharacteristic, complemented
132#16810827C2211yescharacteristic, complemented
133#16810826C2211yescharacteristic, complemented
134#16810826C2211yescharacteristic, complemented
135#16810822C2211yescharacteristic, complemented
136#16810817C2211yescharacteristic, complemented
137#16810816C2211yescharacteristic, complemented
138#16810816C2211yescharacteristic, complemented
139#16810788C2211yescharacteristic, complemented
140#16810787C2211yescharacteristic, complemented
141#16810787C2211yescharacteristic, complemented
142#16810786C2211yescharacteristic, complemented
143#16810780C2211yescharacteristic, complemented
144#16810779C2211yescharacteristic, complemented
145#16810775C2211yescharacteristic, complemented
146#16810774C2211yescharacteristic, complemented
147#16810771C2211yescharacteristic, complemented
148#16810770C2211yescharacteristic
149#16810770C2211yescharacteristic, complemented
150#16810769C2211yescharacteristic
151#16810767C2211yescharacteristic, complemented
152#16810767C2211yescharacteristic, complemented
153#16810766C2211yescharacteristic
154#16810766C2211yescharacteristic, complemented
155#16810766C2211yescharacteristic, complemented
156#16810766C2211yescharacteristic, complemented
157#16810765C2211yescharacteristic
158#16810765C2211yescharacteristic, complemented
159#16810763C2211yescharacteristic, complemented
160#16810762C2211yescharacteristic, complemented
161#16810760C2211yescharacteristic, complemented
162#16810760C2211yescharacteristic, complemented
163#16810758C2211yescharacteristic
164#16810757C2211yescharacteristic
165#16810755C2211yescharacteristic
166#16810755C2211yescharacteristic, complemented
167#16810685C2211yescharacteristic, complemented
168#16810685C2211yescharacteristic, complemented
169#16810681C2211yescharacteristic, complemented
170#16810681C2211yescharacteristic, complemented
171#16810679C2211yescharacteristic, complemented
172#16810676C2211yescharacteristic, complemented
173#16810675C2211yescharacteristic, complemented
174#16810645C2211yescharacteristic, complemented
175C4⋊C8×D53C2211yescharacteristic, complemented
176#16810630C2211yescharacteristic, complemented
177#16810626C2211yescharacteristic
178#16810623C2211yescharacteristic, complemented
179#16810621C2211yescharacteristic
180#16810618C2211yescharacteristic, complemented
181#16810616C2211yescharacteristic
182#103×D53C2211yescharacteristic, complemented
183#102×D53C2211yescharacteristic
184#16810588C2211yescharacteristic
185#16810588C2211yescharacteristic
186#16810580C2211yescharacteristic, complemented
187#16810580C2211yescharacteristic, complemented
188C53×#532C2211yescharacteristic, complemented
189C2×#124×C53C2211yescharacteristic, complemented
190C53×#496C2211yescharacteristic, complemented
191C53×#496C2211yescharacteristic, complemented
192C53×#489C2211yescharacteristic, complemented
193C53×#489C2211yescharacteristic, complemented
194C53×#463C2211yescharacteristic, complemented
195C53×#463C2211yescharacteristic, complemented
196C53×#463C2211yescharacteristic, complemented
197C53×#463C2211yescharacteristic, complemented
198C53×#448C2211yescharacteristic, complemented
199C53×#448C2211yescharacteristic, complemented
200C53×#447C2211yescharacteristic
201C53×#447C2211yescharacteristic, complemented
202C53×#432C2211yescharacteristic, complemented
203#13133265—42no—
204#13133265—42no—
205#13133262—42no—
206#13133262—42no—
207C2×#11719949—21no—
208C2×#11719949C2311yescharacteristic
209C2×#11719949C2311yescharacteristic
210C2×#11719945—21no—
211C2×#11719945—21no—
212C2×#11719945—21no—
213C2×#11719945C2311yescharacteristic
214C2×#11719945C2311yescharacteristic
215C2×#11719945C2311yescharacteristic
216C2×#11719947—21no—
217C2×#11719947C2311yescharacteristic
218C2×#11719947C2311yescharacteristic
219C2×#11719947C2311yescharacteristic
220C2×Q8×D53—21no—
221C2×Q8×D53C2311yescharacteristic
222C2×Q8×D53C2311yescharacteristic
223C22×C22⋊D53—21no—
224C22×C22⋊D53—21no—
225C2×D4×D53—21no—
226C2×D4×D53C2311yescharacteristic
227C2×D4×D53C2311yescharacteristic
228C2×D4×D53C2311yescharacteristic
229C22×C4×D53—21no—
230#13133246—42no—
231#13133244—42no—
232#13133241—42no—
233#13133241—42no—
234#13133238—42no—
235#13133236—42no—
236C2×Dic212C2311yescharacteristic
237C2×Dic212C2311yescharacteristic
238C2×#11719925C2311yescharacteristic
239C2×#11719925C2311yescharacteristic
240C2×#11719913C2311yescharacteristic
241C2×#11719913C2311yescharacteristic
242C2×#11719913C2311yescharacteristic
243C2×#11719913C2311yescharacteristic
244C2×#11719923C2311yescharacteristic
245C2×#11719923C2311yescharacteristic
246C2×#11719923C2311yescharacteristic
247C2×#11719923C2311yescharacteristic
248C2×#11719923C2311yescharacteristic
249C2×#11719923C2311yescharacteristic
250C2×#11719924C2311yescharacteristic
251C2×#11719924C2311yescharacteristic
252SD16×D53—42no—
253C2×D424C2311yescharacteristic
254C2×D424C2311yescharacteristic
255C2×#11719922C2311yescharacteristic
256C2×#11719922C2311yescharacteristic
257C2×#11719922C2311yescharacteristic
258C2×#11719922C2311yescharacteristic
259C2×#11719922C2311yescharacteristic
260C2×#11719922C2311yescharacteristic
261D8×D53—42no—
262C2×#11719912C2311yescharacteristic
263C2×#11719912C2311yescharacteristic
264C2×C8×D53C2311yescharacteristic
265C2×C8×D53C2311yescharacteristic
266#13133217C2311yescharacteristic
267#13133216C2311yescharacteristic
268#13133215—21no—
269#13133215C2311yescharacteristic
270#13133215C2311yescharacteristic
271#13133214C2311yescharacteristic
272#13133213—21no—
273#13133213C2311yescharacteristic
274#13133213C2311yescharacteristic
275#13133213C2311yescharacteristic
276#13133212—21no—
277#13133211—21no—
278#13133210—21no—
279#13133210—21no—
280#13133209C2311yescharacteristic
281#13133208C2311yescharacteristic
282#13133207—21no—
283#13133206—21no—
284#13133206C2311yescharacteristic
285#13133206C2311yescharacteristic
286#13133205C2311yescharacteristic
287#13133205C2311yescharacteristic
288#13133205C2311yescharacteristic
289#13133204—21no—
290#13133204C2311yescharacteristic
291#13133204C2311yescharacteristic
292#13133204C2311yescharacteristic
293#13133203—21no—
294#13133203—21no—
295#13133203—21no—
296#13133203—21no—
297#13133203—21no—
298#13133203—21no—
299#13133202—21no—
300#13133201—21no—
301#13133200—21no—
302#13133200—21no—
303#13133200—21no—
304#13133199—21no—
305#13133199—21no—
306#13133199—21no—
307#13133199—21no—
308#13133199—21no—
309#13133199—21no—
310#13133198—21no—
311#13133198—21no—
312#13133198—21no—
313#13133197C2311yescharacteristic
314#13133196C2311yescharacteristic
315#13133195—21no—
316#13133194—21no—
317#13133194—21no—
318#13133194—21no—
319#13133194—21no—
320#13133194—21no—
321#13133194—21no—
322#13133193—21no—
323#13133193—21no—
324#13133193—21no—
325#13133193—21no—
326#13133192C2311yescharacteristic
327#13133191—21no—
328#13133191—21no—
329#13133191C2311yescharacteristic
330#13133190—21no—
331#13133190—21no—
332#13133190—21no—
333#13133190—21no—
334#13133190—21no—
335#13133190—21no—
336#13133190—21no—
337#13133190—21no—
338#13133190—21no—
339#13133190—21no—
340#13133189—21no—
341#13133189—21no—
342#13133189—21no—
343#13133189—21no—
344#13133189—21no—
345#13133189—21no—
346#13133188—21no—
347#13133188—21no—
348#13133188—21no—
349#13133188—21no—
350#13133188C2311yescharacteristic
351#13133188C2311yescharacteristic
352#13133187—21no—
353#13133187—21no—
354#13133187—21no—
355#13133187—21no—
356#13133187—21no—
357#13133186—21no—
358#13133186—21no—
359#13133185—21no—
360#13133185—21no—
361#13133185—21no—
362C4×Dic106D411yescharacteristic
363C4×Dic106D411yescharacteristic
364C4×Dic106C2311yescharacteristic
365#13133182C2311yescharacteristic
366C4×D212—21no—
367C4×D212—21no—
368C4×D212D411yescharacteristic
369C4×D212D411yescharacteristic
370C4×D212C2311yescharacteristic
371D4×Dic53C2311yescharacteristic
372D4×Dic53C2311yescharacteristic
373#13133179C2311yescharacteristic
374C4×C22⋊D53—21no—
375C4×C22⋊D53—21no—
376C4×C22⋊D53—21no—
377C4×C22⋊D53—21no—
378C4×C22⋊D53—21no—
379C4×C22⋊D53D411yescharacteristic
380C4×C22⋊D53D411yescharacteristic
381C4×C22⋊D53D411yescharacteristic
382C4×C22⋊D53D411yescharacteristic
383#13133177—21no—
384#13133177—21no—
385#13133177—21no—
386#13133177—21no—
387#13133177—21no—
388#13133177—21no—
389#13133176—21no—
390#13133176C2311yescharacteristic
391#13133175C2311yescharacteristic
392#13133174—21no—
393#13133174C2311yescharacteristic
394#13133174C2311yescharacteristic
395#13133173—21no—
396C4⋊C4×D53C2311yescharacteristic
397C22⋊C4×D53—21no—
398C22⋊C4×D53—21no—
399C22⋊C4×D53—21no—
400C22⋊C4×D53—21no—
401C22⋊C4×D53—21no—
402C2×C4×Dic53—21no—
403C42×D53C2311yescharacteristic
404C42×D53C2311yescharacteristic
405C4⋊#88322C2311yescharacteristic
406C4⋊#88322C2311yescharacteristic
407#13133146C2311yescharacteristic
408#13133146C2311yescharacteristic
409#13133146C2311yescharacteristic
410#13133146C2311yescharacteristic
411#13133142C2311yescharacteristic
412#13133142C2311yescharacteristic
413#13133142C2311yescharacteristic
414#13133142C2311yescharacteristic
415#13133141C2311yescharacteristic
416#13133141C2311yescharacteristic
417#13133141C2311yescharacteristic
418#13133141C2311yescharacteristic
419#13133140C2311yescharacteristic
420#13133140C2311yescharacteristic
421#13133140C2311yescharacteristic
422#13133140C2311yescharacteristic
423#13133139C2311yescharacteristic
424#13133139C2311yescharacteristic
425#13133139C2311yescharacteristic
426#13133139C2311yescharacteristic
427#13133138C2311yescharacteristic
428#13133138C2311yescharacteristic
429#13133138C2311yescharacteristic
430#13133138C2311yescharacteristic
431#13133137C2311yescharacteristic
432#13133137C2311yescharacteristic
433#13133137C2311yescharacteristic
434#13133137C2311yescharacteristic
435C22⋊#88322C2311yescharacteristic
436C22⋊#88322C2311yescharacteristic
437#13133129C2311yescharacteristic
438#13133129C2311yescharacteristic
439#13133129C2311yescharacteristic
440#13133129C2311yescharacteristic
441#13133127C2311yescharacteristic
442#13133127C2311yescharacteristic
443C4×#88322C2311yescharacteristic
444C4×#88322C2311yescharacteristic
445C8×Dic53C2311yescharacteristic
446C8×Dic53C2311yescharacteristic
447C2×#41×C53—21no—
448C22×Q8×C53C2311yescharacteristic
449C22×D4×C53C2311yescharacteristic
450C2×SD16×C53C2311yescharacteristic
451C2×SD16×C53C2311yescharacteristic
452C2×SD16×C53C2311yescharacteristic
453C2×SD16×C53C2311yescharacteristic
454C2×D8×C53C2311yescharacteristic
455C2×D8×C53C2311yescharacteristic
456C2×D8×C53C2311yescharacteristic
457C2×D8×C53C2311yescharacteristic
458C4⋊Q8×C53C2311yescharacteristic
459#127×C53C2311yescharacteristic
460#124×C53—21no—
461#124×C53—21no—
462#124×C53—21no—
463#124×C53C2311yescharacteristic
464#124×C53C2311yescharacteristic
465#124×C53C2311yescharacteristic
466#124×C53C2311yescharacteristic
467#121×C53—21no—
468#121×C53C2311yescharacteristic
469#121×C53C2311yescharacteristic
470C4×D4×C53—21no—
471C4×D4×C53C2311yescharacteristic
472C4×D4×C53C2311yescharacteristic
473C2×C22⋊C4×C53—21no—
474C2×C22⋊C4×C53—21no—
475C2×C42×C53C2311yescharacteristic
476C4⋊C8×C53C2311yescharacteristic
477C4⋊C8×C53C2311yescharacteristic
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
488#97×C53C2311yescharacteristic
489#97×C53C2311yescharacteristic
490C24×C53—21no—
491C23×D53—21no—
492C23×D53—21no—
493C23×D53—21no—
494#41×C53—82no—
495C2×Q8×C53—21no—
496C2×Q8×C53—21no—
497C2×Q8×C53—41no—
498C2×Q8×C53—41no—
499C2×Q8×C53C2411yescharacteristic
500C2×Q8×C53C2411yescharacteristic
501C2×D4×C53—21no—
502C2×D4×C53—21no—
503C2×D4×C53—21no—
504C2×D4×C53—21no—
505C2×D4×C53—21no—
506C2×D4×C53—41no—
507C2×D4×C53—41no—
508C2×D4×C53C2411yescharacteristic
509C2×D4×C53C2411yescharacteristic
510C2×D4×C53C2411yescharacteristic
511C2×D4×C53C2411yescharacteristic
512C22×C4×C53—21no—
513C22×C4×C53—21no—
514C22×C4×C53—21no—
515C22×C4×C53C2×D411yescharacteristic
516C22×C4×C53C2×D411yescharacteristic
517C22×C4×C53C2411yescharacteristic
518C2×C22⋊D53—21no—
519C2×C22⋊D53—21no—
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⋊D53—21no—
535C2×C22⋊D53—44no—
536C2×C22⋊D53—44no—
537C2×C22⋊D53C2×D411yescharacteristic
538C2×C22⋊D53C2×D411yescharacteristic
539C22×Dic53—21no—
540C22×Dic53—21no—
541C22×Dic53—21no—
542C22×Dic53—21no—
543C22×Dic53—21no—
544#11719949—22no—
545#11719949—22no—
546#11719949—41no—
547#11719949—41no—
548#11719949—44no—
549Q8×D53—22no—
550Q8×D53—22no—
551Q8×D53—41no—
552Q8×D53—41no—
553Q8×D53—44no—
554#11719947—22no—
555#11719947—22no—
556#11719947—22no—
557#11719947—22no—
558#11719947—41no—
559#11719947—41no—
560#11719947—44no—
561D4×D53—22no—
562D4×D53—22no—
563D4×D53—22no—
564D4×D53—22no—
565D4×D53—41no—
566D4×D53—41no—
567D4×D53—44no—
568#11719945—22no—
569#11719945—22no—
570#11719945—41no—
571#11719945—41no—
572#11719945—41no—
573#11719945—41no—
574#11719945—44no—
575#11719945—44no—
576#11719945—82no—
577C2×D212—21no—
578C2×D212—21no—
579C2×D212—21no—
580C2×D212—21no—
581C2×D212—21no—
582C2×D212C2×D411yescharacteristic
583C2×D212C2411yescharacteristic
584C2×D212C2411yescharacteristic
585C2×D212C2411yescharacteristic
586C2×C4×D53—21no—
587C2×C4×D53—21no—
588C2×C4×D53—21no—
589C2×C4×D53—21no—
590C2×C4×D53—21no—
591C2×C4×D53—21no—
592C2×C4×D53—21no—
593C2×C4×D53—21no—
594C2×C4×D53—21no—
595C2×C4×D53—82no—
596C2×C4×D53C2×D411yescharacteristic
597C2×C4×D53C2×D411yescharacteristic
598C2×C4×D53C2×D411yescharacteristic
599C2×C4×D53C2×D411yescharacteristic
600C2×C4×D53C2411yescharacteristic
601C2×C4×D53C2411yescharacteristic
602C2×Dic106—21no—
603C2×Dic106—21no—
604C2×Dic106—21no—
605C2×Dic106C2×D411yescharacteristic
606C2×Dic106C2411yescharacteristic
607C2×Dic106C2411yescharacteristic
608C2×Dic106C2411yescharacteristic
609SD16×C53—41no—
610SD16×C53—41no—
611SD16×C53—41no—
612SD16×C53—41no—
613D8×C53—41no—
614D8×C53—41no—
615D8×C53—41no—
616D8×C53—41no—
617C2×C8×C53C2411yescharacteristic
618C2×C8×C53C2411yescharacteristic
619C2×C8×C53C2411yescharacteristic
620C2×C8×C53C2411yescharacteristic
621C4⋊C4×C53—21no—
622C4⋊C4×C53C2411yescharacteristic
623C4⋊C4×C53C2411yescharacteristic
624C22⋊C4×C53—21no—
625C22⋊C4×C53—21no—
626C22⋊C4×C53—21no—
627C22⋊C4×C53—21no—
628C22⋊C4×C53—21no—
629C22⋊C4×C53—21no—
630C22⋊C4×C53—21no—
631C22⋊C4×C53—21no—
632C22⋊C4×C53—21no—
633C22⋊C4×C53—21no—
634C22⋊C4×C53—21no—
635C22⋊C4×C53—21no—
636C42×C53C2×D411yescharacteristic
637C42×C53C2×D411yescharacteristic
638C42×C53C2411yescharacteristic
639C42×C53C2411yescharacteristic
640C22⋊Dic53—21no—
641C22⋊Dic53—21no—
642C22⋊Dic53—21no—
643C22⋊Dic53—21no—
644C22⋊Dic53—21no—
645C22⋊Dic53—21no—
646C22⋊Dic53—21no—
647C22⋊Dic53—21no—
648C22⋊Dic53—21no—
649C22⋊Dic53—21no—
650C22⋊Dic53—21no—
651C22⋊Dic53C2×D411yescharacteristic
652C22⋊Dic53C2×D411yescharacteristic
653#11719925—41no—
654#11719925—41no—
655#11719924—41no—
656#11719924—41no—
657#11719923—41no—
658#11719923—41no—
659#11719923—41no—
660#11719923—41no—
661#11719923—41no—
662#11719923—41no—
663#11719922—41no—
664#11719922—41no—
665#11719922—41no—
666#11719922—41no—
667#11719922—41no—
668#11719922—41no—
669#11719921—21no—
670#11719921—21no—
671#11719921—21no—
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#11719921C2×D411yescharacteristic
686#11719921C2×D411yescharacteristic
687#11719921C2×D411yescharacteristic
688#11719921C2×D411yescharacteristic
689C4⋊Dic53—21no—
690C4⋊Dic53—21no—
691C4⋊Dic53—21no—
692C4⋊Dic53—21no—
693C4⋊Dic53C2×D411yescharacteristic
694C4⋊Dic53C2×D411yescharacteristic
695C4⋊Dic53C2411yescharacteristic
696C4⋊Dic53C2411yescharacteristic
697#11719919—21no—
698#11719919—21no—
699#11719919—21no—
700#11719919—21no—
701#11719919—21no—
702#11719919—21no—
703#11719919—21no—
704#11719919—21no—
705#11719919—21no—
706#11719919—21no—
707#11719919—21no—
708#11719919—21no—
709#11719919C2×D411yescharacteristic
710#11719919C2×D411yescharacteristic
711#11719919C2×D411yescharacteristic
712#11719919C2×D411yescharacteristic
713C4×Dic53—21no—
714C4×Dic53—21no—
715C4×Dic53—21no—
716C4×Dic53C2×D411yescharacteristic
717C4×Dic53C2×D411yescharacteristic
718C4×Dic53C2×D411yescharacteristic
719C4×Dic53C2×D411yescharacteristic
720C4×Dic53C2411yescharacteristic
721C4×Dic53C2411yescharacteristic
722C2×#88322C2411yescharacteristic
723C2×#88322C2411yescharacteristic
724C2×#88322C2411yescharacteristic
725C2×#88322C2411yescharacteristic
726Dic212—41no—
727Dic212—41no—
728D424—41no—
729D424—41no—
730#11719913—41no—
731#11719913—41no—
732#11719913—41no—
733#11719913—41no—
734#11719912—22no—
735#11719912—22no—
736C8×D53—22no—
737C8×D53—22no—
738C23×C53—21no—
739C23×C53—21no—
740C23×C53—21no—
741C23×C53—21no—
742C23×C53—42no—
743C23×C53—81no—
744C23×C53—81no—
745C23×C53C22×D411yescharacteristic
746C22×D53—21no—
747C22×D53—21no—
748C22×D53—21no—
749C22×D53—42no—
750C22×D53—42no—
751C22×D53—42no—
752C22×D53—81no—
753C22×D53—81no—
754C22×D53—81no—
755C22×D53—81no—
756C22×D53—81no—
757C22×D53—81no—
758C22×D53C22×D411yescharacteristic
759C22×D53C22×D411yescharacteristic
760Q8×C53—21no—
761Q8×C53—21no—
762Q8×C53—21no—
763Q8×C53—21no—
764Q8×C53—42no—
765Q8×C53—81no—
766D4×C53—21no—
767D4×C53—21no—
768D4×C53—21no—
769D4×C53—21no—
770D4×C53—21no—
771D4×C53—21no—
772D4×C53—21no—
773D4×C53—21no—
774D4×C53—42no—
775D4×C53—81no—
776D4×C53—81no—
777D4×C53—81no—
778D4×C53—81no—
779C2×C4×C53—21no—
780C2×C4×C53—21no—
781C2×C4×C53—21no—
782C2×C4×C53—21no—
783C2×C4×C53—21no—
784C2×C4×C53—21no—
785C2×C4×C53—41no—
786C2×C4×C53—41no—
787C2×C4×C53—42no—
788C2×C4×C53—42no—
789C2×C4×C53—42no—
790C2×C4×C53C22×D411yescharacteristic
791C2×C4×C53C22×D411yescharacteristic
792C2×C4×C53C22×D411yescharacteristic
793C2×C4×C53C22×D411yescharacteristic
794C2×C4×C53C22×D411yescharacteristic
795C2×C4×C53C2511yescharacteristic
796C22⋊D53—22no—
797C22⋊D53—22no—
798C22⋊D53—42no—
799C22⋊D53—42no—
800C22⋊D53—42no—
801C22⋊D53—42no—
802C22⋊D53—42no—
803C22⋊D53—42no—
804C22⋊D53—42no—
805C22⋊D53—42no—
806C22⋊D53—81no—
807C22⋊D53—81no—
808C22⋊D53—81no—
809C22⋊D53—81no—
810C22⋊D53—81no—
811C22⋊D53—81no—
812C22⋊D53—81no—
813C22⋊D53—81no—
814C22⋊D53—81no—
815C2×Dic53—21no—
816C2×Dic53—21no—
817C2×Dic53—21no—
818C2×Dic53—21no—
819C2×Dic53—21no—
820C2×Dic53—42no—
821C2×Dic53—42no—
822C2×Dic53—42no—
823C2×Dic53—81no—
824C2×Dic53—81no—
825C2×Dic53C22×D411yescharacteristic
826C2×Dic53C22×D411yescharacteristic
827C2×Dic53C22×D411yescharacteristic
828C2×Dic53C22×D411yescharacteristic
829C2×Dic53C22×D411yescharacteristic
830C2×Dic53C22×D411yescharacteristic
831D212—22no—
832D212—21no—
833D212—21no—
834D212—21no—
835D212—21no—
836D212—21no—
837D212—21no—
838D212—42no—
839D212—42no—
840D212—81no—
841D212—81no—
842D212—81no—
843C4×D53—21no—
844C4×D53—21no—
845C4×D53—41no—
846C4×D53—41no—
847C4×D53—41no—
848C4×D53—41no—
849C4×D53—42no—
850C4×D53—42no—
851C4×D53—42no—
852C4×D53—42no—
853C4×D53—42no—
854C4×D53—42no—
855C4×D53—42no—
856C4×D53—81no—
857C4×D53—81no—
858C4×D53H(5,𝔽2)12yes—
859C4×D53H(5,𝔽2)12yes—
860Dic106—22no—
861Dic106—21no—
862Dic106—21no—
863Dic106—21no—
864Dic106—21no—
865Dic106—21no—
866Dic106—21no—
867Dic106—42no—
868Dic106—42no—
869Dic106—81no—
870C8×C53—21no—
871C8×C53—21no—
872C8×C53—21no—
873C8×C53—21no—
874#88322—21no—
875#88322—21no—
876#88322—21no—
877#88322—21no—
878#60834—531nomaximal, Sylow
879C22×C53—21no—
880C22×C53—21no—
881C22×C53—21no—
882C22×C53—41no—
883C22×C53—41no—
884C22×C53—41no—
885C22×C53—41no—
886C22×C53—41no—
887C22×C53—41no—
888C22×C53—41no—
889C22×C53—41no—
890C22×C53—41no—
891C22×C53—41no—
892C22×C53—41no—
893C22×C53—41no—
894C22×C53—162no—
895C22×C53C23×D411yescharacteristic
896C2×D53—21no—
897C2×D53—21no—
898C2×D53—21no—
899C2×D53—21no—
900C2×D53—21no—
901C2×D53—41no—
902C2×D53—41no—
903C2×D53—41no—
904C2×D53—41no—
905C2×D53—41no—
906C2×D53—41no—
907C2×D53—41no—
908C2×D53—41no—
909C2×D53—41no—
910C2×D53—84no—
911C2×D53—162no—
912C2×D53—162no—
913C2×D53#53512yes—
914C4×C53—21no—
915C4×C53—21no—
916C4×C53—21no—
917C4×C53—21no—
918C4×C53—21no—
919C4×C53—41no—
920C4×C53—41no—
921C4×C53—41no—
922C4×C53—41no—
923C4×C53C2×H(5,𝔽2)11yescharacteristic
924C4×C53C2×H(5,𝔽2)11yescharacteristic
925Dic53—21no—
926Dic53—21no—
927Dic53—21no—
928Dic53—21no—
929Dic53—21no—
930Dic53—41no—
931Dic53—41no—
932Dic53—41no—
933Dic53—41no—
934Dic53—41no—
935Dic53#53512yes—
936#3500—531no—
937#3460—531no—
938#3225—531no—
939#3225—531no—
940#3224—531no—
941#3224—531no—
942#3221—531no—
943#3221—531no—
944#3220—531no—
945#3220—531no—
946#3219—531no—
947#3219—531no—
948#3213—531no—
949#3213D5311yescharacteristic, complemented
950#3211—531no—
951#3211—531no—
952#3207—531no—
953#3207—531no—
954#3155—531no—
955#3154—531no—
956#3137—531no—
957#3136—531no—
958#3040—531no—
959#3036—531no—
960#3035—531no—
961C2×#463—531no—
962#3013—531no—
963#3012—531no—
964#3010—531no—
965#3008—531no—
966#2925—531no—
967C2×C53—41no—
968C2×C53—81no—
969C2×C53—81no—
970C2×C53—81no—
971C2×C53—81no—
972C2×C53C2×#53511yescharacteristic
973C2×C53#358411yescharacteristic
974C2×C53#358511yescharacteristic
975D53—22no—
976D53—41no—
977D53—81no—
978D53—81no—
979D53—81no—
980C2×2−1+4—531no—
981C2×H(5,𝔽2)—531no—
982C2×#137—531no—
983C2×AGL(1,ℤ/8)—531no—
984C2×AGL(1,ℤ/8)—531no—
985C2×AGL(1,ℤ/8)—531no—
986C2×#135—531no—
987C2×#135—531no—
988C22×SD16—531no—
989C22×D8—531no—
990#548—1061no—
991#548—1061no—
992#546—1061no—
993#546—1061no—
994#546—1061no—
995#546—1061no—
996#546—1061no—
997#546—1061no—
998#544—531no—
999#542—531no—
1000#542—531no—
1001#542—1061no—
1002#540—531no—
1003#540—531no—
1004#540—1061no—
1005#538—1061no—
1006#538—1061no—
1007#537—531no—
1008#536—531no—
1009#536—531no—
1010#536—531no—
1011#535—531no—
1012#535—531no—
1013#535—531no—
1014#535—531no—
1015#535—531no—
1016#532—531no—
1017#532—531no—
1018#532—531no—
1019#532—531no—
1020#532—1061no—
1021#532C2×D5311yescharacteristic, complemented
1022#529—531no—
1023#529—531no—
1024#529—1061no—
1025C2×#124—531no—
1026C2×#124—531no—
1027C2×#124C2×D5311yescharacteristic, complemented
1028#525—1061no—
1029#525—1061no—
1030C4×#41—531no—
1031C4×#41—531no—
1032C2×C4×D4—531no—
1033#497—531no—
1034#497—531no—
1035#496—531no—
1036#496—531no—
1037#496—531no—
1038#496—531no—
1039#496C2×D5311yescharacteristic, complemented
1040#496C2×D5311yescharacteristic, complemented
1041#495—531no—
1042#495—531no—
1043#495—531no—
1044#495—531no—
1045#493—531no—
1046#493—531no—
1047#492—531no—
1048#492—531no—
1049#491—531no—
1050#491—531no—
1051#490—531no—
1052#490—531no—
1053#489—531no—
1054#489—531no—
1055#489C2×D5311yescharacteristic, complemented
1056#489C2×D5311yescharacteristic, complemented
1057#488—531no—
1058#488—531no—
1059#488—531no—
1060#488—531no—
1061#487—531no—
1062#487—531no—
1063#486—531no—
1064#486—531no—
1065#464—531no—
1066#464—531no—
1067#464—531no—
1068#464—531no—
1069#464—531no—
1070#464—531no—
1071#463—531no—
1072#463—531no—
1073#463—531no—
1074#463—531no—
1075#463—531no—
1076#463—531no—
1077#463—531no—
1078#463—531no—
1079#463—531no—
1080#463—531no—
1081#463—531no—
1082#463—531no—
1083#463—531no—
1084#463—531no—
1085#463C2×D5311yescharacteristic, complemented
1086#463C2×D5311yescharacteristic, complemented
1087#463C2×D5311yescharacteristic, complemented
1088#463C2×D5311yescharacteristic, complemented
1089#462—531no—
1090#461—531no—
1091#461—531no—
1092#461—531no—
1093#460—531no—
1094#459—531no—
1095#459—531no—
1096#459—531no—
1097#452—531no—
1098#452—531no—
1099#452—531no—
1100#452—531no—
1101#451—531no—
1102#451—531no—
1103#450—531no—
1104#450—531no—
1105#449—531no—
1106#449—531no—
1107#449—531no—
1108#449—531no—
1109#449—531no—
1110#449—531no—
1111#449—531no—
1112#449—531no—
1113#449—531no—
1114#449—531no—
1115#449—531no—
1116#449—531no—
1117#448—531no—
1118#448—531no—
1119#448—531no—
1120#448—531no—
1121#448C2×D5311yescharacteristic, complemented
1122#448C2×D5311yescharacteristic, complemented
1123#447—531no—
1124#447—531no—
1125#447—531no—
1126#447—531no—
1127#447C2×D5311yescharacteristic
1128#447C2×D5311yescharacteristic, complemented
1129#433—531no—
1130#433—531no—
1131#433—531no—
1132#433—531no—
1133#432—531no—
1134#432C2×D5311yescharacteristic, complemented
1135#431—531no—
1136#431—531no—
1137#423—531no—
1138C2×C4⋊C8—531no—
1139#419—531no—
1140#418—531no—
1141#417—531no—
1142#417—531no—
1143#416—531no—
1144#416—531no—
1145C2×#103—531no—
1146C2×#102—531no—
1147#408—531no—
1148#408—531no—
1149#405—531no—
1150#405—531no—
1151C53#6083411yescharacteristic, complemented, Sylow
11522−1+4—2122no—
11532−1+4—2122no—
1154H(5,𝔽2)—2122no—
1155H(5,𝔽2)—2122no—
1156C2×#41—21no—
1157C2×#41—531no—
1158C2×#41—531no—
1159C2×#41—531no—
1160C2×#41—531no—
1161C2×#41—531no—
1162C2×#41—531no—
1163C2×#41—531no—
1164C2×#41—531no—
1165C2×#41—1061no—
1166C2×#41—1061no—
1167C2×#41—1061no—
1168C2×#41—1061no—
1169C2×#41—1061no—
1170C22×Q8—531no—
1171C22×Q8—531no—
1172C22×Q8—1061no—
1173C22×Q8C22×D5311yescharacteristic
1174C22×D4—531no—
1175C22×D4—531no—
1176C22×D4—531no—
1177C22×D4—1061no—
1178C22×D4—1061no—
1179C22×D4—1061no—
1180C22×D4C22×D5311yescharacteristic
1181C23×C4—1061no—
1182#137—2122no—
1183AGL(1,ℤ/8)—2122no—
1184AGL(1,ℤ/8)—2122no—
1185AGL(1,ℤ/8)—2122no—
1186#135—2122no—
1187#135—2122no—
1188C2×Q16—531no—
1189C2×Q16—531no—
1190C2×Q16—531no—
1191C2×Q16—531no—
1192C2×SD16—531no—
1193C2×SD16—531no—
1194C2×SD16—531no—
1195C2×SD16—531no—
1196C2×SD16—531no—
1197C2×SD16—531no—
1198C2×SD16—531no—
1199C2×SD16—531no—
1200C2×SD16—531no—
1201C2×SD16—531no—
1202C2×SD16—531no—
1203C2×SD16—531no—
1204C2×SD16—2122no—
1205C2×SD16C22×D5311yescharacteristic
1206C2×SD16C22×D5311yescharacteristic
1207C2×SD16C22×D5311yescharacteristic
1208C2×SD16C22×D5311yescharacteristic
1209C2×D8—531no—
1210C2×D8—531no—
1211C2×D8—531no—
1212C2×D8—531no—
1213C2×D8—531no—
1214C2×D8—531no—
1215C2×D8—531no—
1216C2×D8—531no—
1217C2×D8—2122no—
1218C2×D8C22×D5311yescharacteristic
1219C2×D8C22×D5311yescharacteristic
1220C2×D8C22×D5311yescharacteristic
1221C2×D8C22×D5311yescharacteristic
1222C2×M16—531no—
1223C2×M16—531no—
1224C22×C8—531no—
1225C22×C8—531no—
1226C4⋊Q8—531no—
1227C4⋊Q8—531no—
1228C4⋊Q8—531no—
1229C4⋊Q8—531no—
1230C4⋊Q8—1061no—
1231C4⋊Q8C22×D5311yescharacteristic
1232#127—531no—
1233#127—531no—
1234#127—531no—
1235#127—531no—
1236#127—1061no—
1237#127C22×D5311yescharacteristic
1238#126—1061no—
1239#126—1061no—
1240#126—1061no—
1241#126—1061no—
1242#125—531no—
1243#125—531no—
1244#125—1061no—
1245#124—21no—
1246#124—21no—
1247#124—21no—
1248#124—531no—
1249#124—531no—
1250#124—531no—
1251#124—531no—
1252#124—531no—
1253#124—531no—
1254#124—531no—
1255#124—531no—
1256#124—1061no—
1257#124—1061no—
1258#124—1061no—
1259#124—1061no—
1260#124—1061no—
1261#124—1061no—
1262#124—1061no—
1263#124—1061no—
1264#124C22×D5311yescharacteristic
1265#124C22×D5311yescharacteristic
1266#124C22×D5311yescharacteristic
1267#124C22×D5311yescharacteristic
1268#123—1061no—
1269#123—1061no—
1270#123—1061no—
1271#123—1061no—
1272#123—1061no—
1273#123—1061no—
1274#123—1061no—
1275#123—1061no—
1276#123—1061no—
1277#123—1061no—
1278#123—1061no—
1279#123—1061no—
1280#123—1061no—
1281#123—1061no—
1282C22⋊Q8—531no—
1283C22⋊Q8—531no—
1284C22⋊Q8—1061no—
1285C22⋊Q8—1061no—
1286C22⋊Q8—1061no—
1287C22⋊Q8—1061no—
1288C22⋊Q8—1061no—
1289C22⋊Q8—1061no—
1290C22⋊Q8—1061no—
1291C22⋊Q8—1061no—
1292C22⋊Q8—1061no—
1293C22⋊Q8—1061no—
1294C22⋊Q8—1061no—
1295#121—21no—
1296#121—531no—
1297#121—531no—
1298#121—531no—
1299#121—531no—
1300#121—1061no—
1301#121—1061no—
1302#121—1061no—
1303#121—1061no—
1304#121—1061no—
1305#121—1061no—
1306#121—1061no—
1307#121—1061no—
1308#121—1061no—
1309#121—1061no—
1310#121—1061no—
1311#121—1061no—
1312#121—1061no—
1313#121—1061no—
1314#121—1061no—
1315#121—1061no—
1316#121—1061no—
1317#121—1061no—
1318#121—1061no—
1319#121—1061no—
1320#121—1061no—
1321#121—1061no—
1322#121C22×D5311yescharacteristic
1323#121C22×D5311yescharacteristic
1324#120—1061no—
1325#120—1061no—
1326#120—1061no—
1327#120—1061no—
1328#120—1061no—
1329#120—1061no—
1330#120—1061no—
1331#120—1061no—
1332#120—1061no—
1333#120—1061no—
1334C4×Q8—531no—
1335C4×Q8—531no—
1336C4×Q8—531no—
1337C4×Q8—531no—
1338C4×D4—21no—
1339C4×D4—531no—
1340C4×D4—531no—
1341C4×D4—531no—
1342C4×D4—531no—
1343C4×D4—531no—
1344C4×D4—531no—
1345C4×D4—531no—
1346C4×D4—531no—
1347C4×D4—531no—
1348C4×D4—531no—
1349C4×D4—1061no—
1350C4×D4—1061no—
1351C4×D4—1061no—
1352C4×D4—1061no—
1353C4×D4—1061no—
1354C4×D4—1061no—
1355C4×D4—1061no—
1356C4×D4—1061no—
1357C4×D4—1061no—
1358C4×D4—1061no—
1359C4×D4—1061no—
1360C4×D4—1061no—
1361C4×D4—1061no—
1362C4×D4C22×D5311yescharacteristic
1363C4×D4C22×D5311yescharacteristic
1364#117—531no—
1365#117—531no—
1366#117—531no—
1367#117—531no—
1368#117—1061no—
1369#117—1061no—
1370#117—1061no—
1371C2×C4⋊C4—531no—
1372C2×C22⋊C4—21no—
1373C2×C22⋊C4—21no—
1374C2×C22⋊C4—1061no—
1375C2×C22⋊C4—1061no—
1376C2×C22⋊C4—1061no—
1377C2×C22⋊C4—1061no—
1378C2×C22⋊C4—1061no—
1379C2×C42—531no—
1380C2×C42—531no—
1381C2×C42—1061no—
1382C2×C42C22×D5311yescharacteristic
1383C4⋊C8—531no—
1384C4⋊C8—531no—
1385C4⋊C8—531no—
1386C4⋊C8—531no—
1387C4⋊C8—531no—
1388C4⋊C8—531no—
1389C4⋊C8C22×D5311yescharacteristic
1390C4⋊C8C22×D5311yescharacteristic
1391#103—531no—
1392#103—531no—
1393#103—531no—
1394#103—531no—
1395#103—531no—
1396#103—531no—
1397#103—531no—
1398#103—531no—
1399#103—531no—
1400#103—531no—
1401#103—531no—
1402#103—531no—
1403#103C22×D5311yescharacteristic
1404#103C22×D5311yescharacteristic
1405#103C22×D5311yescharacteristic
1406#103C22×D5311yescharacteristic
1407#102—531no—
1408#102—531no—
1409#102—531no—
1410#102—531no—
1411#102—531no—
1412#102—531no—
1413#102—531no—
1414#102—531no—
1415#102—531no—
1416#102—531no—
1417#102—531no—
1418#102—531no—
1419#102C22×D5311yescharacteristic
1420#102C22×D5311yescharacteristic
1421#102C22×D5311yescharacteristic
1422#102C22×D5311yescharacteristic
1423C22⋊C8—531no—
1424C22⋊C8—531no—
1425C22⋊C8—531no—
1426C22⋊C8—531no—
1427C22⋊C8—531no—
1428C22⋊C8—531no—
1429C22⋊C8C22×D5311yescharacteristic
1430C22⋊C8C22×D5311yescharacteristic
1431#97—531no—
1432#97—531no—
1433#97C22×D5311yescharacteristic
1434#97C22×D5311yescharacteristic
1435C4×C8—531no—
1436C4×C8—531no—
1437C4×C8—531no—
1438C4×C8—531no—
1439C24—21no—
1440C24—1061no—
1441C24—1061no—
1442C24—1061no—
1443#41—82no—
1444#41—1062no—
1445#41—1062no—
1446#41—1062no—
1447#41—1062no—
1448#41—1062no—
1449#41—1062no—
1450#41—1062no—
1451#41—1062no—
1452#41—4242no—
1453#41—2121no—
1454#41—2121no—
1455#41—2121no—
1456#41—2121no—
1457#41—2124no—
1458#41—2124no—
1459#41—2121no—
1460#41—2121no—
1461#41—2121no—
1462#41—2121no—
1463#41—2124no—
1464#41—2124no—
1465C2×Q8—21no—
1466C2×Q8—21no—
1467C2×Q8—41no—
1468C2×Q8—41no—
1469C2×Q8—531no—
1470C2×Q8—531no—
1471C2×Q8—531no—
1472C2×Q8—531no—
1473C2×Q8—1061no—
1474C2×Q8—1061no—
1475C2×Q8—1061no—
1476C2×Q8—1062no—
1477C2×Q8—1062no—
1478C2×Q8—2121no—
1479C2×Q8—2121no—
1480C2×Q8—2124no—
1481C2×Q8C23×D5311yescharacteristic
1482C2×Q8C23×D5311yescharacteristic
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—41no—
1489C2×D4—41no—
1490C2×D4—531no—
1491C2×D4—531no—
1492C2×D4—531no—
1493C2×D4—531no—
1494C2×D4—531no—
1495C2×D4—531no—
1496C2×D4—1061no—
1497C2×D4—1061no—
1498C2×D4—1061no—
1499C2×D4—1062no—
1500C2×D4—1062no—
1501C2×D4—1062no—
1502C2×D4—1062no—
1503C2×D4—1061no—
1504C2×D4—1061no—
1505C2×D4—1061no—
1506C2×D4—1061no—
1507C2×D4—1061no—
1508C2×D4—1061no—
1509C2×D4—1061no—
1510C2×D4—1061no—
1511C2×D4—1061no—
1512C2×D4—1061no—
1513C2×D4—1061no—
1514C2×D4—1061no—
1515C2×D4—1061no—
1516C2×D4—1061no—
1517C2×D4—1061no—
1518C2×D4—1061no—
1519C2×D4—1061no—
1520C2×D4—1061no—
1521C2×D4—1061no—
1522C2×D4—2121no—
1523C2×D4—2121no—
1524C2×D4—2124no—
1525C2×D4—2124no—
1526C2×D4—2124no—
1527C2×D4C23×D5311yescharacteristic
1528C2×D4C23×D5311yescharacteristic
1529C2×D4C23×D5311yescharacteristic
1530C2×D4C23×D5311yescharacteristic
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—21no—
1534C22×C4—531no—
1535C22×C4—531no—
1536C22×C4—531no—
1537C22×C4—531no—
1538C22×C4—531no—
1539C22×C4—531no—
1540C22×C4—1061no—
1541C22×C4—1061no—
1542C22×C4—1061no—
1543C22×C4—1061no—
1544C22×C4—1061no—
1545C22×C4—1061no—
1546C22×C4—1061no—
1547C22×C4—1061no—
1548C22×C4—1061no—
1549C22×C4—1061no—
1550C22×C4—1061no—
1551C22×C4—1061no—
1552C22×C4—1061no—
1553C22×C4—1061no—
1554C22×C4—4242no—
1555C22×C4D4×D5311yescharacteristic
1556C22×C4D4×D5311yescharacteristic
1557C22×C4C23×D5311yescharacteristic
1558Q16—2121no—
1559Q16—2121no—
1560Q16—2121no—
1561Q16—2121no—
1562SD16—41no—
1563SD16—41no—
1564SD16—41no—
1565SD16—41no—
1566SD16—2121no—
1567SD16—2121no—
1568SD16—2121no—
1569SD16—2121no—
1570SD16—2121no—
1571SD16—2121no—
1572SD16—2121no—
1573SD16—2121no—
1574SD16—2121no—
1575SD16—2121no—
1576SD16—2121no—
1577SD16—2121no—
1578D8—41no—
1579D8—41no—
1580D8—41no—
1581D8—41no—
1582D8—2121no—
1583D8—2121no—
1584D8—2121no—
1585D8—2121no—
1586D8—2121no—
1587D8—2121no—
1588D8—2121no—
1589D8—2121no—
1590M16—1062no—
1591M16—1062no—
1592C2×C8—531no—
1593C2×C8—531no—
1594C2×C8—531no—
1595C2×C8—531no—
1596C2×C8—1062no—
1597C2×C8—1062no—
1598C2×C8C23×D5311yescharacteristic
1599C2×C8C23×D5311yescharacteristic
1600C2×C8C23×D5311yescharacteristic
1601C2×C8C23×D5311yescharacteristic
1602C4⋊C4—21no—
1603C4⋊C4—531no—
1604C4⋊C4—531no—
1605C4⋊C4—531no—
1606C4⋊C4—531no—
1607C4⋊C4—531no—
1608C4⋊C4—531no—
1609C4⋊C4—531no—
1610C4⋊C4—531no—
1611C4⋊C4—1061no—
1612C4⋊C4—1061no—
1613C4⋊C4—1061no—
1614C4⋊C4—1061no—
1615C4⋊C4—1061no—
1616C4⋊C4—1061no—
1617C4⋊C4—1061no—
1618C4⋊C4—1061no—
1619C4⋊C4—1061no—
1620C4⋊C4—1061no—
1621C4⋊C4—1061no—
1622C4⋊C4—1061no—
1623C4⋊C4—1061no—
1624C4⋊C4—1061no—
1625C4⋊C4—1061no—
1626C4⋊C4—1061no—
1627C4⋊C4C23×D5311yescharacteristic
1628C4⋊C4C23×D5311yescharacteristic
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—531no—
1642C22⋊C4—531no—
1643C22⋊C4—531no—
1644C22⋊C4—531no—
1645C22⋊C4—531no—
1646C22⋊C4—531no—
1647C22⋊C4—1061no—
1648C22⋊C4—1061no—
1649C22⋊C4—1061no—
1650C22⋊C4—1061no—
1651C22⋊C4—1061no—
1652C22⋊C4—1061no—
1653C22⋊C4—1061no—
1654C22⋊C4—1061no—
1655C22⋊C4—1061no—
1656C22⋊C4—1061no—
1657C22⋊C4—1061no—
1658C22⋊C4—1061no—
1659C22⋊C4—1061no—
1660C22⋊C4—1061no—
1661C22⋊C4—1061no—
1662C22⋊C4—1061no—
1663C22⋊C4—1061no—
1664C22⋊C4—1061no—
1665C22⋊C4—1061no—
1666C22⋊C4—1061no—
1667C22⋊C4—1061no—
1668C22⋊C4—1061no—
1669C22⋊C4—1061no—
1670C22⋊C4—1061no—
1671C22⋊C4—1061no—
1672C22⋊C4—1061no—
1673C22⋊C4—1061no—
1674C42—531no—
1675C42—531no—
1676C42—531no—
1677C42—531no—
1678C42—531no—
1679C42—531no—
1680C42—1061no—
1681C42—1061no—
1682C42—1061no—
1683C42D4×D5311yescharacteristic
1684C42D4×D5311yescharacteristic
1685C42C23×D5311yescharacteristic
1686C42C23×D5311yescharacteristic
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—42no—
1692C23—81no—
1693C23—81no—
1694C23—531no—
1695C23—531no—
1696C23—1061no—
1697C23—1061no—
1698C23—1061no—
1699C23—4241no—
1700C23—4241no—
1701C23—4241no—
1702C23—4241no—
1703C23—4241no—
1704C23—4241no—
1705C23—2122no—
1706C23—2122no—
1707C23—2122no—
1708C23C2×D4×D5311yescharacteristic
1709Q8—21no—
1710Q8—21no—
1711Q8—21no—
1712Q8—21no—
1713Q8—42no—
1714Q8—81no—
1715Q8—1062no—
1716Q8—1061no—
1717Q8—1061no—
1718Q8—1061no—
1719Q8—1061no—
1720Q8—1061no—
1721Q8—1061no—
1722Q8—4241no—
1723Q8—2122no—
1724Q8—2122no—
1725D4—21no—
1726D4—21no—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—42no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—81no—
1738D4—1062no—
1739D4—1062no—
1740D4—1062no—
1741D4—1061no—
1742D4—1061no—
1743D4—1061no—
1744D4—1061no—
1745D4—1061no—
1746D4—1061no—
1747D4—4241no—
1748D4—4241no—
1749D4—4241no—
1750D4—4241no—
1751D4—4241no—
1752D4—4241no—
1753D4—4241no—
1754D4—4241no—
1755D4—4241no—
1756D4—4241no—
1757D4—4241no—
1758D4—4241no—
1759D4—2122no—
1760D4—2122no—
1761D4—2122no—
1762D4—2122no—
1763D4—2122no—
1764D4—2122no—
1765D4—2122no—
1766D4—2122no—
1767D4—2122no—
1768D4—2122no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—42no—
1778C2×C4—42no—
1779C2×C4—42no—
1780C2×C4—531no—
1781C2×C4—532no—
1782C2×C4—532no—
1783C2×C4—531no—
1784C2×C4—531no—
1785C2×C4—531no—
1786C2×C4—531no—
1787C2×C4—531no—
1788C2×C4—1061no—
1789C2×C4—1061no—
1790C2×C4—1061no—
1791C2×C4—1061no—
1792C2×C4—1061no—
1793C2×C4—1061no—
1794C2×C4—1061no—
1795C2×C4—4241no—
1796C2×C4—4241no—
1797C2×C4—4241no—
1798C2×C4—4241no—
1799C2×C4—2121no—
1800C2×C4—2121no—
1801C2×C4—2121no—
1802C2×C4—2121no—
1803C2×C4—2122no—
1804C2×C4—2122no—
1805C2×C4—2122no—
1806C2×C4—2122no—
1807C2×C4—2122no—
1808C2×C4—2122no—
1809C2×C4—2122no—
1810C2×C4—2122no—
1811C2×C4—2122no—
1812C2×C4—2122no—
1813C2×C4C2×D4×D5311yescharacteristic
1814C2×C4C2×D4×D5311yescharacteristic
1815C2×C4C2×D4×D5311yescharacteristic
1816C2×C4C2×D4×D5311yescharacteristic
1817C2×C4C2×D4×D5311yescharacteristic
1818C2×C4C24×D5311yescharacteristic
1819C8—21no—
1820C8—21no—
1821C8—21no—
1822C8—21no—
1823C8—1061no—
1824C8—1061no—
1825C8—1061no—
1826C8—1061no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—162no—
1843C22—532no—
1844C22—8482no—
1845C22—8482no—
1846C22—1061no—
1847C22—1061no—
1848C22—1061no—
1849C22—1061no—
1850C22—1061no—
1851C22—4244no—
1852C22—2121no—
1853C22—2121no—
1854C22—2121no—
1855C22—2121no—
1856C22—2121no—
1857C22—2121no—
1858C22—2121no—
1859C22—2121no—
1860C22—2121no—
1861C22C22×D4×D5311yescharacteristic
1862C4—21no—
1863C4—21no—
1864C4—21no—
1865C4—21no—
1866C4—21no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—532no—
1872C4—1061no—
1873C4—1061no—
1874C4—1061no—
1875C4—1061no—
1876C4—1061no—
1877C4—2121no—
1878C4—2121no—
1879C4—2121no—
1880C4—2121no—
1881C4—2121no—
1882C4H(5,𝔽2)×D5311yescharacteristic
1883C4H(5,𝔽2)×D5311yescharacteristic
1884C2—41no—
1885C2—81no—
1886C2—81no—
1887C2—81no—
1888C2—81no—
1889C2—1062no—
1890C2—4241no—
1891C2—4241no—
1892C2—4241no—
1893C2—2121no—
1894C2#535×D5311yescharacteristic
1895C2#2028948811yescharacteristic
1896C2#2028949111yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3213C2
socleC22×C53C23×D4
hypercenter#3213D53
hypocenterC53#60834
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3213

Complements

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

NH ≅ G/Ntype
1. #20288505C2semidirect
2. #20288129C2semidirect
3. #20285825C2semidirect
4. #20285822C2semidirect
5. #20285810C2semidirect
6. #20285805C2semidirect
7. #20285772C2semidirect
8. #20285771C2semidirect
9. #20285761C2semidirect
10. #20285760C2semidirect
11. #20285754C2semidirect
12. #20285751C2semidirect
13. #20285700C2semidirect
14. #20285680C2semidirect
15. #20285678C2semidirect
16. #20285647C2semidirect
17. #20285644C2semidirect
18. #20285199C2semidirect
19. #20285188C2semidirect
20. #20285077C2semidirect
21. #20285066C2semidirect
22. #20284204C2semidirect
23. #20284177C2semidirect
24. #20284167C2semidirect
25. #463×D53C2semidirect
26. #20284025C2semidirect
27. #20284014C2semidirect
28. #20283996C2semidirect
29. #20283978C2semidirect
30. #20283382C2semidirect
31. C53×#3213C2semidirect
34. C2×#13133246C22semidirect
35. C2×#13133244C22semidirect
38. C2×#13133238C22semidirect
40. C2×SD16×D53C22semidirect
50. #16811250C22semidirect
51. #16811247C22semidirect
52. #16811240C22semidirect
54. #16811227C22semidirect
55. #16811226C22semidirect
60. #16811197C22semidirect
62. #16811193C22semidirect
64. #16811191C22semidirect
65. #16811190C22semidirect
67. #16811186C22semidirect
68. #16811173C22semidirect
70. #16811172C22semidirect
71. #16811170C22semidirect
73. #16811157C22semidirect
74. #16811155C22semidirect
77. #124×D53C22semidirect
81. C4×#11719947C22semidirect
82. C4×D4×D53C22semidirect
83. #16811017C22semidirect
84. #16811014C22semidirect
85. #16811012C22semidirect
86. #16811011C22semidirect
87. #16811011C22semidirect
88. #16811009C22semidirect
89. #16811006C22semidirect
90. #16811005C22semidirect
91. #16811005C22semidirect
92. #16811004C22semidirect
93. #16810999C22semidirect
94. #16810998C22semidirect
95. #16810995C22semidirect
96. #16810994C22semidirect
97. #16810992C22semidirect
98. #16810990C22semidirect
99. #16810988C22semidirect
100. #16810986C22semidirect
101. #16810984C22semidirect
102. #16810981C22semidirect
103. #16810979C22semidirect
104. #16810977C22semidirect
105. #16810977C22semidirect
106. #16810976C22semidirect
107. #16810975C22semidirect
108. #16810972C22semidirect
109. #16810971C22semidirect
110. #16810968C22semidirect
111. #16810848C22semidirect
112. #16810846C22semidirect
113. #16810846C22semidirect
114. #16810844C22semidirect
115. #16810842C22semidirect
116. #16810842C22semidirect
117. #16810841C22semidirect
118. #16810840C22semidirect
119. #16810840C22semidirect
120. #16810839C22semidirect
121. #16810839C22semidirect
122. #16810838C22semidirect
123. #16810838C22semidirect
124. #16810838C22semidirect
125. #16810838C22semidirect
126. #16810837C22semidirect
127. #16810836C22semidirect
128. #16810836C22semidirect
129. #16810835C22semidirect
130. #16810835C22semidirect
131. #16810832C22semidirect
132. #16810827C22semidirect
133. #16810826C22semidirect
134. #16810826C22semidirect
135. #16810822C22semidirect
136. #16810817C22semidirect
137. #16810816C22semidirect
138. #16810816C22semidirect
139. #16810788C22semidirect
140. #16810787C22semidirect
141. #16810787C22semidirect
142. #16810786C22semidirect
143. #16810780C22semidirect
144. #16810779C22semidirect
145. #16810775C22semidirect
146. #16810774C22semidirect
147. #16810771C22semidirect
149. #16810770C22semidirect
151. #16810767C22semidirect
152. #16810767C22semidirect
154. #16810766C22semidirect
155. #16810766C22semidirect
156. #16810766C22semidirect
158. #16810765C22semidirect
159. #16810763C22semidirect
160. #16810762C22semidirect
161. #16810760C22semidirect
162. #16810760C22semidirect
166. #16810755C22semidirect
167. #16810685C22semidirect
168. #16810685C22semidirect
169. #16810681C22semidirect
170. #16810681C22semidirect
171. #16810679C22semidirect
172. #16810676C22semidirect
173. #16810675C22semidirect
174. #16810645C22semidirect
175. C4⋊C8×D53C22semidirect
176. #16810630C22semidirect
178. #16810623C22semidirect
180. #16810618C22semidirect
182. #103×D53C22semidirect
186. #16810580C22semidirect
187. #16810580C22semidirect
188. C53×#532C22semidirect
189. C2×#124×C53C22semidirect
190. C53×#496C22semidirect
191. C53×#496C22semidirect
192. C53×#489C22semidirect
193. C53×#489C22semidirect
194. C53×#463C22semidirect
195. C53×#463C22semidirect
196. C53×#463C22semidirect
197. C53×#463C22semidirect
198. C53×#448C22semidirect
199. C53×#448C22semidirect
201. C53×#447C22semidirect
202. C53×#432C22semidirect
949. #3213D53semidirect
1021. #532C2×D53semidirect
1027. C2×#124C2×D53semidirect
1039. #496C2×D53semidirect
1040. #496C2×D53semidirect
1055. #489C2×D53semidirect
1056. #489C2×D53semidirect
1085. #463C2×D53semidirect
1086. #463C2×D53semidirect
1087. #463C2×D53semidirect
1088. #463C2×D53semidirect
1121. #448C2×D53semidirect
1122. #448C2×D53semidirect
1128. #447C2×D53semidirect
1134. #432C2×D53semidirect
1151. C53#60834semidirect

Maximal subgroups

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

subgroupindex
#202885052
#202881292
#202858252
#202858222
#202858102
#202858052
#202857722
#202857712
#202857612
#202857602
#202857542
#202857512
#202857002
#202856802
#202856782
#202856472
#202856442
#202851992
#202851882
#202850772
#202850662
#202842042
#202841772
#202841672
#463×D532
#202840252
#202840142
#202839962
#202839782
#202833822
C53×#32132
#6083453