Finite Group Databasebeta

← #29466200

Subgroups — #29466200

Order 15104.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437841C211yesmaximal, characteristic, complemented
2#21437756C211yesmaximal, characteristic
3#21436433C211yesmaximal, characteristic, complemented
4#21436429C211yesmaximal, characteristic, complemented
5#21436370C211yesmaximal, characteristic, complemented
6#21436366C211yesmaximal, characteristic, complemented
7#21436323C211yesmaximal, characteristic, complemented
8#21436317C211yesmaximal, characteristic, complemented
9#21436308C211yesmaximal, characteristic, complemented
10#21436229C211yesmaximal, characteristic, complemented
11#21436220C211yesmaximal, characteristic, complemented
12#21436181C211yesmaximal, characteristic, complemented
13#21436174C211yesmaximal, characteristic, complemented
14#21436165C211yesmaximal, characteristic, complemented
15#21436156C211yesmaximal, characteristic, complemented
16#21436117C211yesmaximal, characteristic, complemented
17#21436110C211yesmaximal, characteristic, complemented
18#21434445C211yesmaximal, characteristic, complemented
19#21434071C211yesmaximal, characteristic, complemented
20#21434035C211yesmaximal, characteristic, complemented
21#21433942C211yesmaximal, characteristic, complemented
22#21433782C211yesmaximal, characteristic, complemented
23#468×D59C211yesmaximal, characteristic, complemented
24#21433612C211yesmaximal, characteristic, complemented
25#21433368C211yesmaximal, characteristic, complemented
26#21433351C211yesmaximal, characteristic, complemented
27#21432932C211yesmaximal, characteristic, complemented
28#21432796C211yesmaximal, characteristic, complemented
29#21432621C211yesmaximal, characteristic, complemented
30#21432610C211yesmaximal, characteristic, complemented
31C59×#3324C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic
33C22×#11745687C2211yescharacteristic
34C2×#14273756C2211yescharacteristic
35C2×#14273756C2211yescharacteristic, complemented
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×#14273735C2211yescharacteristic, complemented
38C2×M16×D59C2211yescharacteristic, complemented
39#16838120C2211yescharacteristic, complemented
40#16838113C2211yescharacteristic, complemented
41#16838110C2211yescharacteristic, complemented
42#16838093—21no—
43#16838093C2211yescharacteristic, complemented
44#16838092C2211yescharacteristic, complemented
45#16838091C2211yescharacteristic, complemented
46#16838088—21no—
47#16838086C2211yescharacteristic, complemented
48#16838082—21no—
49#16838077—21no—
50#16838072C2211yescharacteristic
51#16838070C2211yescharacteristic
52#16838061C2211yescharacteristic
53#16838058C2211yescharacteristic
54#16838047C2211yescharacteristic
55#16838046C2211yescharacteristic
56#16838041—21no—
57#16838039—21no—
58D4×C22⋊D59—21no—
59D4×C22⋊D59C2211yescharacteristic
60#16838034—21no—
61#16838029C2211yescharacteristic, complemented
62#16838016—21no—
63#16838009—21no—
64#16837981C2211yescharacteristic
65#16837979—21no—
66#16837975C2211yescharacteristic, complemented
67#16837967—21no—
68#16837965C2211yescharacteristic
69#16837956—21no—
70#16837935—21no—
71#16837911C2211yescharacteristic
72#16837908—21no—
73C22⋊Q8×D59C2211yescharacteristic, complemented
74C2×#14273699—21no—
75#121×D59C2211yescharacteristic
76#16837882C2211yescharacteristic, complemented
77#16837881C2211yescharacteristic
78#16837878C2211yescharacteristic, complemented
79#117×D59C2211yescharacteristic, complemented
80#16837766C2211yescharacteristic, complemented
81#16837765C2211yescharacteristic, complemented
82#16837764C2211yescharacteristic, complemented
83#16837760C2211yescharacteristic, complemented
84#16837757C2211yescharacteristic, complemented
85#16837755C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837746C2211yescharacteristic, complemented
88#16837743C2211yescharacteristic, complemented
89#16837739C2211yescharacteristic, complemented
90#16837738C2211yescharacteristic, complemented
91#16837727C2211yescharacteristic, complemented
92#16837726C2211yescharacteristic, complemented
93#16837724C2211yescharacteristic, complemented
94#16837723C2211yescharacteristic, complemented
95#16837722C2211yescharacteristic, complemented
96#16837719C2211yescharacteristic, complemented
97#16837717C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837713C2211yescharacteristic, complemented
101#16837710C2211yescharacteristic, complemented
102#16837708C2211yescharacteristic, complemented
103#16837704C2211yescharacteristic, complemented
104#16837702C2211yescharacteristic, complemented
105#16837696C2211yescharacteristic, complemented
106#16837694C2211yescharacteristic, complemented
107#16837680C2211yescharacteristic, complemented
108#16837660C2211yescharacteristic, complemented
109#16837659C2211yescharacteristic, complemented
110#16837651C2211yescharacteristic, complemented
111#16837650C2211yescharacteristic, complemented
112#16837649C2211yescharacteristic, complemented
113#16837648C2211yescharacteristic, complemented
114#16837647C2211yescharacteristic, complemented
115#16837647C2211yescharacteristic, complemented
116#16837646C2211yescharacteristic, complemented
117#16837645C2211yescharacteristic, complemented
118#16837644C2211yescharacteristic, complemented
119#16837641C2211yescharacteristic, complemented
120#16837629C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837625C2211yescharacteristic, complemented
123#16837624C2211yescharacteristic, complemented
124#16837623C2211yescharacteristic, complemented
125#16837622C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837600C2211yescharacteristic, complemented
128#16837599C2211yescharacteristic, complemented
129#16837566C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837565C2211yescharacteristic, complemented
132#16837565C2211yescharacteristic, complemented
133#16837562C2211yescharacteristic, complemented
134#16837561C2211yescharacteristic, complemented
135#16837561C2211yescharacteristic, complemented
136#16837561C2211yescharacteristic, complemented
137#16837560C2211yescharacteristic, complemented
138#16837557C2211yescharacteristic, complemented
139#16837554C2211yescharacteristic, complemented
140#16837553C2211yescharacteristic, complemented
141#16837553C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837508C2211yescharacteristic, complemented
144#16837507C2211yescharacteristic, complemented
145#16837503C2211yescharacteristic, complemented
146#16837502C2211yescharacteristic, complemented
147C4×Dic236C2211yescharacteristic, complemented
148#16837494C2211yescharacteristic, complemented
149#16837493C2211yescharacteristic, complemented
150#16837481C2211yescharacteristic, complemented
151#16837478C2211yescharacteristic, complemented
152#16837478C2211yescharacteristic, complemented
153#16837476C2211yescharacteristic, complemented
154#16837474C2211yescharacteristic, complemented
155#16837472C2211yescharacteristic, complemented
156#16837470C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837441C2211yescharacteristic, complemented
159#107×D59C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837412C2211yescharacteristic, complemented
162#16837410C2211yescharacteristic, complemented
163#16837407C2211yescharacteristic, complemented
164#16837405C2211yescharacteristic, complemented
165#16837405C2211yescharacteristic, complemented
166#16837405C2211yescharacteristic, complemented
167#16837404C2211yescharacteristic, complemented
168#16837400C2211yescharacteristic
169#16837400C2211yescharacteristic, complemented
170#16837400C2211yescharacteristic, complemented
171#16837400C2211yescharacteristic, complemented
172#16837400C2211yescharacteristic, complemented
173#16837400C2211yescharacteristic, complemented
174#16837400C2211yescharacteristic, complemented
175#16837396C2211yescharacteristic, complemented
176#16837395C2211yescharacteristic
177#16837395C2211yescharacteristic
178#16837395C2211yescharacteristic, complemented
179#16837395C2211yescharacteristic, complemented
180#16837395C2211yescharacteristic, complemented
181#103×D59C2211yescharacteristic, complemented
182C2×#14273648C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187#16837356C2211yescharacteristic, complemented
188C59×#556C2211yescharacteristic, complemented
189D42×C59C2211yescharacteristic
190C59×#486C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C59×#418C2211yescharacteristic, complemented
203#14273772—24no—
204#14273772—42no—
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745687—24no—
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687—42no—
212C2×#11745687C2311yescharacteristic
213C2×#11745687C2311yescharacteristic
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217C22×Dic118C2311yescharacteristic
218C2×Q8×D59C2311yescharacteristic
219C22×C22⋊D59—21no—
220C22×C22⋊D59—21no—
221C22×C22⋊D59—21no—
222C22×C22⋊D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C23×Dic59—21no—
228C22×C4×D59C2311yescharacteristic
229#14273756—24no—
230#14273756—42no—
231C2×Dic236C2311yescharacteristic
232C2×Dic236C2311yescharacteristic
233C2×#11745672C2311yescharacteristic
234C2×#11745672C2311yescharacteristic
235C2×#11745660C2311yescharacteristic
236C2×#11745670C2311yescharacteristic
237C2×#11745670C2311yescharacteristic
238C2×#11745670C2311yescharacteristic
239C2×#11745671C2311yescharacteristic
240SD16×D59—42no—
241#14273735—42no—
242C2×#11745664C2311yescharacteristic
243C2×#11745659C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248M16×D59—42no—
249C22×C59⋊C8C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253#14273726—21no—
254#14273726C2311yescharacteristic
255#14273725—21no—
256#14273723—21no—
257#14273723—21no—
258#14273723C2311yescharacteristic
259#14273721—21no—
260#14273721—21no—
261#14273720—21no—
262#14273720—21no—
263#14273720—21no—
264#14273720—21no—
265#14273719—21no—
266#14273719C2311yescharacteristic
267#14273718—21no—
268#14273718C2311yescharacteristic
269#14273717—21no—
270#14273717—21no—
271#14273717—21no—
272#14273717—21no—
273#14273717—21no—
274#14273715C2311yescharacteristic
275#14273714C2311yescharacteristic
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712D411yescharacteristic
283#14273711—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709D411yescharacteristic
288#14273708—21no—
289#14273708—21no—
290#14273707—21no—
291#14273707C2311yescharacteristic
292#14273707C2311yescharacteristic
293#14273707C2311yescharacteristic
294#14273706C2311yescharacteristic
295#14273706C2311yescharacteristic
296#14273706C2311yescharacteristic
297#14273705—21no—
298#14273705—21no—
299#14273705—21no—
300#14273705D411yescharacteristic
301#14273704—21no—
302#14273704—21no—
303#14273704—21no—
304#14273704—21no—
305#14273704D411yescharacteristic
306#14273703—21no—
307#14273703—21no—
308#14273703—21no—
309#14273703C2311yescharacteristic
310#14273703C2311yescharacteristic
311#14273702C2311yescharacteristic
312#14273701—21no—
313#14273701C2311yescharacteristic
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700D411yescharacteristic
318#14273699—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699—21no—
329#14273699D411yescharacteristic
330#14273698—21no—
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273697—21no—
334#14273697D411yescharacteristic
335#14273696—21no—
336#14273696—21no—
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695D411yescharacteristic
341Q8×Dic59C2311yescharacteristic
342C4×Dic118—21no—
343C4×Dic118—21no—
344C4×Dic118—21no—
345C4×Dic118C2311yescharacteristic
346C4×Dic118C2311yescharacteristic
347#14273692—21no—
348#14273692C2311yescharacteristic
349#14273692C2311yescharacteristic
350C4×D236—21no—
351C4×D236C2311yescharacteristic
352D4×Dic59—21no—
353D4×Dic59—21no—
354D4×Dic59C2311yescharacteristic
355#14273689—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59C2311yescharacteristic
358C4×C22⋊D59C2311yescharacteristic
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365#14273686C2311yescharacteristic
366#14273685—21no—
367#14273685—21no—
368#14273685C2311yescharacteristic
369#14273685C2311yescharacteristic
370#14273685C2311yescharacteristic
371#14273684—21no—
372#14273684—21no—
373#14273684—21no—
374#14273684—21no—
375#14273684C2311yescharacteristic
376#14273683—21no—
377#14273683—21no—
378#14273683—21no—
379C2×C4⋊Dic59C2311yescharacteristic
380C2×Dic59⋊C4—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59C2311yescharacteristic
383C4⋊C4×D59C2311yescharacteristic
384C4⋊C4×D59C2311yescharacteristic
385C4⋊C4×D59C2311yescharacteristic
386C4⋊C4×D59C2311yescharacteristic
387C2×C22⋊Dic59—21no—
388C2×(C2×D59)⋊C4—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C42×D59—21no—
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273648C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441#14273638C2311yescharacteristic
442#14273637C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C22×D4×C59—21no—
445C22×D4×C59C2311yescharacteristic
446C22×D4×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×M16×C59C2311yescharacteristic
451C2×M16×C59C2311yescharacteristic
452C4⋊Q8×C59C2311yescharacteristic
453#127×C59C2311yescharacteristic
454#126×C59—21no—
455#126×C59—21no—
456#124×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458C22⋊Q8×C59C2311yescharacteristic
459#121×C59—21no—
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#120×C59—21no—
463#120×C59—21no—
464C4×Q8×C59—21no—
465C4×Q8×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59C2311yescharacteristic
469#117×C59C2311yescharacteristic
470#107×C59C2311yescharacteristic
471#107×C59C2311yescharacteristic
472#106×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486C4×C8×C59C2311yescharacteristic
487C24×C59—21no—
488C24×C59—21no—
489C23×D59—21no—
490C23×D59—21no—
491C23×D59C2×D411yescharacteristic
492C2×Q8×C59—21no—
493C2×Q8×C59C2411yescharacteristic
494C2×D4×C59—22no—
495C2×D4×C59—22no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—41no—
503C2×D4×C59—41no—
504C2×D4×C59—82no—
505C2×D4×C59C2×D411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C22×C4×C59—21no—
510C22×C4×C59C2411yescharacteristic
511C22×C4×C59C2411yescharacteristic
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—44no—
526C2×C22⋊D59—44no—
527C2×C22⋊D59—44no—
528C2×C22⋊D59—82no—
529C2×C22⋊D59C2×D411yescharacteristic
530C2×C22⋊D59C2×D411yescharacteristic
531C2×C22⋊D59C2×D411yescharacteristic
532C2×C22⋊D59C2×D411yescharacteristic
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59—21no—
540C22×Dic59—21no—
541C22×Dic59—44no—
542C22×Dic59C2×D411yescharacteristic
543Q8×D59—22no—
544Q8×D59—22no—
545#11745687—22no—
546#11745687—22no—
547#11745687—22no—
548#11745687—22no—
549#11745687—22no—
550#11745687—22no—
551#11745687—41no—
552#11745687—41no—
553#11745687—41no—
554#11745687—44no—
555#11745687—44no—
556#11745687—44no—
557#11745687#4114yes—
558D4×D59—22no—
559D4×D59—22no—
560D4×D59—22no—
561D4×D59—41no—
562D4×D59—44no—
563D4×D59—82no—
564#11745685—22no—
565#11745685—22no—
566#11745685—22no—
567#11745685—41no—
568C2×D236—21no—
569C2×D236C2×D411yescharacteristic
570C2×D236C2×D411yescharacteristic
571C2×D236C2411yescharacteristic
572C2×C4×D59—22no—
573C2×C4×D59—22no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×C4×D59—21no—
579C2×C4×D59—21no—
580C2×C4×D59—21no—
581C2×C4×D59C2×D411yescharacteristic
582C2×C4×D59C2×D411yescharacteristic
583C2×C4×D59C2411yescharacteristic
584C2×C4×D59C2411yescharacteristic
585C2×C4×D59C2411yescharacteristic
586C2×Dic118—22no—
587C2×Dic118—21no—
588C2×Dic118—21no—
589C2×Dic118—21no—
590C2×Dic118—41no—
591C2×Dic118C2×D411yescharacteristic
592C2×Dic118C2411yescharacteristic
593C2×Dic118C2411yescharacteristic
594C2×Dic118C2411yescharacteristic
595SD16×C59—22no—
596SD16×C59—41no—
597SD16×C59—41no—
598M16×C59—41no—
599M16×C59—41no—
600C2×C8×C59C2411yescharacteristic
601C2×C8×C59C2411yescharacteristic
602C2×C8×C59C2411yescharacteristic
603C2×C8×C59C2411yescharacteristic
604C4⋊C4×C59—21no—
605C4⋊C4×C59—21no—
606C4⋊C4×C59—21no—
607C4⋊C4×C59—21no—
608C4⋊C4×C59C2×D411yescharacteristic
609C4⋊C4×C59C2411yescharacteristic
610C4⋊C4×C59C2411yescharacteristic
611C4⋊C4×C59C2411yescharacteristic
612C4⋊C4×C59C2411yescharacteristic
613C22⋊C4×C59—21no—
614C22⋊C4×C59—21no—
615C22⋊C4×C59—21no—
616C22⋊C4×C59—21no—
617C22⋊C4×C59—21no—
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59C2×D411yescharacteristic
621C22⋊C4×C59C2×D411yescharacteristic
622C42×C59—21no—
623C42×C59—21no—
624C42×C59—21no—
625C42×C59C2411yescharacteristic
626C22⋊Dic59—21no—
627C22⋊Dic59—21no—
628C22⋊Dic59—21no—
629C22⋊Dic59—21no—
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59C2×D411yescharacteristic
636C22⋊Dic59C2×D411yescharacteristic
637#11745672—22no—
638#11745672—41no—
639#11745671—41no—
640#11745670—22no—
641#11745670—41no—
642#11745670—41no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659(C2×D59)⋊C4C2×D411yescharacteristic
660(C2×D59)⋊C4C2×D411yescharacteristic
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
666C4⋊Dic59—21no—
667C4⋊Dic59C2×D411yescharacteristic
668C4⋊Dic59C2411yescharacteristic
669C4⋊Dic59C2411yescharacteristic
670C4⋊Dic59C2411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4C2×D411yescharacteristic
691Dic59⋊C4C2×D411yescharacteristic
692Dic59⋊C4C2×D411yescharacteristic
693Dic59⋊C4C2×D411yescharacteristic
694C4×Dic59—21no—
695C4×Dic59—21no—
696C4×Dic59—21no—
697C4×Dic59—21no—
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59C2411yescharacteristic
704#11745664—41no—
705C2×C59⋊C8—41no—
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C2×C59⋊C8C2411yescharacteristic
710Dic236—22no—
711Dic236—41no—
712#11745660—41no—
713#11745659—22no—
714#11745659—22no—
715#11745659—41no—
716#11745659—41no—
717#11745659—41no—
718C8×D59—22no—
719C8×D59—22no—
720C8×D59—41no—
721C23×C59—21no—
722C23×C59—21no—
723C23×C59—21no—
724C23×C59—42no—
725C23×C59—42no—
726C23×C59—42no—
727C23×C59—81no—
728C23×C59—81no—
729C23×C59—81no—
730C23×C59C22×D411yescharacteristic
731C23×C59C22×D411yescharacteristic
732C22×D59—22no—
733C22×D59—21no—
734C22×D59—41no—
735C22×D59—41no—
736C22×D59—42no—
737C22×D59—42no—
738C22×D59—81no—
739C22×D59—81no—
740C22×D59—81no—
741C22×D59—81no—
742C22×D59C22×D411yescharacteristic
743C22×D59C22×D411yescharacteristic
744C22×D59C22×D411yescharacteristic
745Q8×C59—21no—
746Q8×C59—21no—
747Q8×C59—81no—
748D4×C59—21no—
749D4×C59—21no—
750D4×C59—21no—
751D4×C59—21no—
752D4×C59—21no—
753D4×C59—41no—
754D4×C59—42no—
755D4×C59—42no—
756D4×C59—42no—
757D4×C59—81no—
758D4×C59—81no—
759D4×C59—81no—
760D4×C59C2×#4112yes—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—81no—
771C2×C4×C59C22×D411yescharacteristic
772C2×C4×C59C22×D411yescharacteristic
773C2×C4×C59C22×D411yescharacteristic
774C2×C4×C59C22×D411yescharacteristic
775C2×C4×C59C2511yescharacteristic
776C22⋊D59—22no—
777C22⋊D59—24no—
778C22⋊D59—22no—
779C22⋊D59—41no—
780C22⋊D59—41no—
781C22⋊D59—42no—
782C22⋊D59—42no—
783C22⋊D59—42no—
784C22⋊D59—42no—
785C22⋊D59—42no—
786C22⋊D59—42no—
787C22⋊D59—42no—
788C22⋊D59—42no—
789C22⋊D59—81no—
790C22⋊D59—81no—
791C22⋊D59—81no—
792C22⋊D59—81no—
793C2×Dic59—21no—
794C2×Dic59—22no—
795C2×Dic59—24no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—21no—
802C2×Dic59—42no—
803C2×Dic59—42no—
804C2×Dic59—42no—
805C2×Dic59—42no—
806C2×Dic59—42no—
807C2×Dic59—81no—
808C2×Dic59—81no—
809C2×Dic59C22×D411yescharacteristic
810C2×Dic59C22×D411yescharacteristic
811C2×Dic59C22×D411yescharacteristic
812C2×Dic59C22×D411yescharacteristic
813C2×Dic59C22×D411yescharacteristic
814D236—22no—
815D236—21no—
816D236—21no—
817D236—41no—
818D236—81no—
819C4×D59—22no—
820C4×D59—21no—
821C4×D59—21no—
822C4×D59—21no—
823C4×D59—21no—
824C4×D59—22no—
825C4×D59—42no—
826C4×D59—42no—
827C4×D59—42no—
828C4×D59—81no—
829C4×D59—81no—
830C4×D59—81no—
831C4×D59—81no—
832C4×D59C2×#4112yes—
833C4×D59H(5,𝔽2)12yes—
834Dic118—21no—
835Dic118—22no—
836Dic118—21no—
837Dic118—21no—
838Dic118—21no—
839Dic118—21no—
840Dic118—42no—
841Dic118—42no—
842Dic118—81no—
843Dic118C2×#4112yes—
844C8×C59—21no—
845C8×C59—21no—
846C8×C59—21no—
847C8×C59—21no—
848C59⋊C8—21no—
849C59⋊C8—21no—
850C59⋊C8—21no—
851C59⋊C8—21no—
852#61180—591nomaximal, Sylow
853C22×C59—21no—
854C22×C59—21no—
855C22×C59—21no—
856C22×C59—21no—
857C22×C59—21no—
858C22×C59—22no—
859C22×C59—21no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59—41no—
866C22×C59—41no—
867C22×C59—41no—
868C22×C59—84no—
869C22×C59—162no—
870C22×C59C23×D411yescharacteristic
871C2×D59—21no—
872C2×D59—21no—
873C2×D59—21no—
874C2×D59—21no—
875C2×D59—21no—
876C2×D59—21no—
877C2×D59—21no—
878C2×D59—21no—
879C2×D59—41no—
880C2×D59—41no—
881C2×D59—41no—
882C2×D59—82no—
883C2×D59—162no—
884C2×D59—162no—
885C2×D59#54612yes—
886C4×C59—21no—
887C4×C59—21no—
888C4×C59—21no—
889C4×C59—21no—
890C4×C59—41no—
891C4×C59—41no—
892C4×C59—41no—
893C4×C59—41no—
894C4×C59—41no—
895C4×C59C22×#4111yescharacteristic
896C4×C59C2×H(5,𝔽2)11yescharacteristic
897Dic59—21no—
898Dic59—21no—
899Dic59—21no—
900Dic59—22no—
901Dic59—21no—
902Dic59—41no—
903Dic59—41no—
904Dic59—41no—
905Dic59—41no—
906Dic59—41no—
907Dic59—41no—
908Dic59#54612yes—
909#3495—591no—
910#3488—591no—
911#3333—591no—
912#3333—591no—
913#3327—591no—
914#3327—591no—
915#3324—591no—
916#3324D5911yescharacteristic, complemented
917#3323—591no—
918#3323—591no—
919#3317—591no—
920#3317—591no—
921#3314—591no—
922#3314—591no—
923#3313—591no—
924#3313—591no—
925#3310—591no—
926#3310—591no—
927#3136—591no—
928#3098—591no—
929#3094—591no—
930#3083—591no—
931#3063—591no—
932C2×#468—591no—
933#3043—591no—
934#3009—591no—
935#3007—591no—
936#2947—591no—
937#2930—591no—
938#2897—591no—
939#2896—591no—
940C2×C59—41no—
941C2×C59—42no—
942C2×C59—41no—
943C2×C59—81no—
944C2×C59—81no—
945C2×C59C2×#54611yescharacteristic
946C2×C59#358511yescharacteristic
947C2×C59#358611yescharacteristic
948D59—22no—
949D59—41no—
950D59—41no—
951D59—81no—
952C2×H(5,𝔽2)—591no—
953C22×#41—591no—
954C2×#137—591no—
955C2×#137—591no—
956C22×SD16—591no—
957C2×#131—591no—
958C22×M16—591no—
959#556—591no—
960#556C2×D5911yescharacteristic, complemented
961#554—591no—
962#554—591no—
963#552—591no—
964#552—591no—
965#552—591no—
966#552—591no—
967#552—1181no—
968#552—1181no—
969#551—1181no—
970#551—1181no—
971#550—591no—
972#550—591no—
973#548—591no—
974#548—591no—
975#546—591no—
976#546—591no—
977#546—1181no—
978#546—1181no—
979D42—591no—
980D42—1181no—
981D42—1181no—
982D42C2×D5911yescharacteristic
983#544—591no—
984#542—1181no—
985#541—1181no—
986#537—591no—
987#537—1181no—
988#536—591no—
989#535—591no—
990#535—1181no—
991#533—1181no—
992#529—1181no—
993#525—591no—
994#525—1181no—
995C2×C22⋊Q8—591no—
996C2×#121—591no—
997C2×#121—1181no—
998#520—591no—
999#520—591no—
1000#519—591no—
1001C2×#117—591no—
1002#490—591no—
1003#490—591no—
1004#489—591no—
1005#489—591no—
1006#488—591no—
1007#488—591no—
1008#486—591no—
1009#486C2×D5911yescharacteristic, complemented
1010#485—591no—
1011#485—591no—
1012#484—591no—
1013#484—591no—
1014#482—591no—
1015#482—591no—
1016#482—591no—
1017#482—591no—
1018#482C2×D5911yescharacteristic, complemented
1019#482C2×D5911yescharacteristic, complemented
1020#481—591no—
1021#481—591no—
1022#480—591no—
1023#480—591no—
1024#480—591no—
1025#480—591no—
1026#479—591no—
1027#479—591no—
1028#478—591no—
1029#478—591no—
1030#477—591no—
1031#477—591no—
1032#474—591no—
1033#474C2×D5911yescharacteristic, complemented
1034#470—591no—
1035#470—591no—
1036#468—591no—
1037#468—591no—
1038#468—591no—
1039#468—591no—
1040#468—591no—
1041#468—591no—
1042#468—591no—
1043#468—591no—
1044#468C2×D5911yescharacteristic, complemented
1045#468C2×D5911yescharacteristic, complemented
1046#467—591no—
1047#467—591no—
1048#465—591no—
1049#465—591no—
1050#464—591no—
1051#464—591no—
1052#464—591no—
1053#464—591no—
1054#460—591no—
1055#460—591no—
1056#460—591no—
1057#460C2×D5911yescharacteristic, complemented
1058#452—591no—
1059#452—591no—
1060#452—591no—
1061#452—591no—
1062#452—591no—
1063#452—591no—
1064#452—591no—
1065#452—591no—
1066#451—591no—
1067#451—591no—
1068#450—591no—
1069#450—591no—
1070#450—591no—
1071#450—591no—
1072#450C2×D5911yescharacteristic, complemented
1073#450C2×D5911yescharacteristic, complemented
1074#441—591no—
1075#441—591no—
1076#440—591no—
1077#440—591no—
1078C4×Q16—591no—
1079C4×Q16—591no—
1080C4×SD16—591no—
1081C4×SD16C2×D5911yescharacteristic, complemented
1082#436—591no—
1083#436—591no—
1084#436—591no—
1085#436C2×D5911yescharacteristic, complemented
1086#435—591no—
1087#435—591no—
1088#435—591no—
1089#435—591no—
1090#428—591no—
1091#428—591no—
1092C2×#107—591no—
1093#424—591no—
1094#419—591no—
1095#419—591no—
1096#418—591no—
1097#418—591no—
1098#418—591no—
1099#418—591no—
1100#418C2×D5911yescharacteristic, complemented
1101#418C2×D5911yescharacteristic, complemented
1102#417—591no—
1103#417—591no—
1104#417—591no—
1105#417—591no—
1106#417—591no—
1107#417—591no—
1108#417—591no—
1109#417—591no—
1110#416—591no—
1111#416—591no—
1112#416—591no—
1113#416—591no—
1114#416—591no—
1115#416—591no—
1116C2×#103—591no—
1117C2×#102—591no—
1118C2×#102—591no—
1119C2×#102—591no—
1120#408—591no—
1121#407—591no—
1122#405—591no—
1123C59#6118011yescharacteristic, complemented, Sylow
1124H(5,𝔽2)—1184no—
1125H(5,𝔽2)—2362no—
1126C2×#41—591no—
1127C2×#41—591no—
1128C2×#41—591no—
1129C2×#41—591no—
1130C2×#41—591no—
1131C2×#41—591no—
1132C2×#41—591no—
1133C2×#41—1181no—
1134C2×#41—1181no—
1135C2×#41—1181no—
1136C2×#41—1184no—
1137C2×#41—2362no—
1138C22×Q8—591no—
1139C22×Q8—591no—
1140C22×D4—21no—
1141C22×D4—591no—
1142C22×D4—591no—
1143C22×D4—1181no—
1144C22×D4—1181no—
1145C22×D4—1181no—
1146C22×D4—1181no—
1147C22×D4—1181no—
1148C22×D4—1181no—
1149C22×D4C22×D5911yescharacteristic
1150C22×D4C22×D5911yescharacteristic
1151C23×C4—591no—
1152C23×C4—1181no—
1153#137—1184no—
1154#137—2362no—
1155C2×Q16—591no—
1156C2×Q16—591no—
1157C2×Q16—591no—
1158C2×Q16—591no—
1159C2×SD16—591no—
1160C2×SD16—591no—
1161C2×SD16—591no—
1162C2×SD16—591no—
1163C2×SD16—591no—
1164C2×SD16—2362no—
1165C2×SD16C22×D5911yescharacteristic
1166C2×SD16C22×D5911yescharacteristic
1167C2×SD16C22×D5911yescharacteristic
1168#131—2362no—
1169C2×M16—591no—
1170C2×M16—591no—
1171C2×M16—591no—
1172C2×M16—591no—
1173C2×M16—591no—
1174C2×M16—591no—
1175C2×M16—2362no—
1176C2×M16C22×D5911yescharacteristic
1177C2×M16C22×D5911yescharacteristic
1178C22×C8—591no—
1179C22×C8—591no—
1180C22×C8—591no—
1181C22×C8—591no—
1182C4⋊Q8—591no—
1183C4⋊Q8—1181no—
1184C4⋊Q8—1181no—
1185C4⋊Q8C22×D5911yescharacteristic
1186#127—591no—
1187#127—1181no—
1188#127—1181no—
1189#127C22×D5911yescharacteristic
1190#126—21no—
1191#126—21no—
1192#126—1181no—
1193#126—1181no—
1194#126—1181no—
1195#126—1181no—
1196#126—1181no—
1197#126—1181no—
1198#125—591no—
1199#125—591no—
1200#125—1181no—
1201#125—1181no—
1202#125—1181no—
1203#125—1181no—
1204#125—1181no—
1205#125—1181no—
1206#125—1181no—
1207#124—21no—
1208#124—591no—
1209#124—591no—
1210#124—1181no—
1211#124—1181no—
1212#124—1181no—
1213#124—1181no—
1214#123—591no—
1215#123—591no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—591no—
1229C22⋊Q8—591no—
1230C22⋊Q8—591no—
1231C22⋊Q8—591no—
1232C22⋊Q8—591no—
1233C22⋊Q8—591no—
1234C22⋊Q8—1181no—
1235C22⋊Q8—1181no—
1236C22⋊Q8—1181no—
1237C22⋊Q8—1181no—
1238C22⋊Q8—1181no—
1239C22⋊Q8—1181no—
1240C22⋊Q8—1181no—
1241C22⋊Q8—1181no—
1242C22⋊Q8—1181no—
1243C22⋊Q8—1181no—
1244C22⋊Q8—1181no—
1245C22⋊Q8C22×D5911yescharacteristic
1246C22⋊Q8C22×D5911yescharacteristic
1247#121—21no—
1248#121—591no—
1249#121—591no—
1250#121—591no—
1251#121—591no—
1252#121—591no—
1253#121—591no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121C22×D5911yescharacteristic
1271#121C22×D5911yescharacteristic
1272#120—21no—
1273#120—21no—
1274#120—591no—
1275#120—591no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279#120—1181no—
1280#120—1181no—
1281#120—1181no—
1282C4×Q8—21no—
1283C4×Q8—591no—
1284C4×Q8—591no—
1285C4×Q8—591no—
1286C4×Q8—591no—
1287C4×Q8—591no—
1288C4×Q8—1181no—
1289C4×Q8—1181no—
1290C4×Q8—1181no—
1291C4×Q8—1181no—
1292C4×Q8C22×D5911yescharacteristic
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4C22×D5911yescharacteristic
1309C4×D4C22×D5911yescharacteristic
1310#117—591no—
1311#117—591no—
1312#117—591no—
1313#117—591no—
1314#117—591no—
1315#117—1181no—
1316#117—1181no—
1317#117—1181no—
1318#117—1181no—
1319#117—1181no—
1320#117—1181no—
1321#117—1181no—
1322#117—1181no—
1323#117—1181no—
1324#117C22×D5911yescharacteristic
1325#117C22×D5911yescharacteristic
1326C2×C4⋊C4—591no—
1327C2×C4⋊C4—591no—
1328C2×C4⋊C4—591no—
1329C2×C4⋊C4—591no—
1330C2×C4⋊C4—591no—
1331C2×C4⋊C4—591no—
1332C2×C4⋊C4—1181no—
1333C2×C4⋊C4—1181no—
1334C2×C22⋊C4—1181no—
1335C2×C22⋊C4—1181no—
1336C2×C22⋊C4—1181no—
1337C2×C22⋊C4—1181no—
1338C2×C22⋊C4—1181no—
1339C2×C42—1181no—
1340#107—591no—
1341#107—591no—
1342#107—591no—
1343#107—591no—
1344#107—591no—
1345#107—591no—
1346#107C22×D5911yescharacteristic
1347#107C22×D5911yescharacteristic
1348#106—591no—
1349#106—591no—
1350#106—591no—
1351#106C22×D5911yescharacteristic
1352C4⋊C8—591no—
1353C4⋊C8—591no—
1354C4⋊C8—591no—
1355C4⋊C8C22×D5911yescharacteristic
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103—591no—
1360#103—591no—
1361#103—591no—
1362#103—591no—
1363#103—591no—
1364#103—591no—
1365#103—591no—
1366#103—591no—
1367#103—591no—
1368#103—591no—
1369#103—591no—
1370#103—591no—
1371#103C22×D5911yescharacteristic
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383#102—591no—
1384#102—591no—
1385#102—591no—
1386#102—591no—
1387#102C22×D5911yescharacteristic
1388#102C22×D5911yescharacteristic
1389#102C22×D5911yescharacteristic
1390#102C22×D5911yescharacteristic
1391#102C22×D5911yescharacteristic
1392#102C22×D5911yescharacteristic
1393#102C22×D5911yescharacteristic
1394#102C22×D5911yescharacteristic
1395#102C22×D5911yescharacteristic
1396C22⋊C8—591no—
1397C22⋊C8—591no—
1398C22⋊C8—591no—
1399C22⋊C8—591no—
1400C22⋊C8—591no—
1401C22⋊C8—591no—
1402C22⋊C8C22×D5911yescharacteristic
1403C22⋊C8C22×D5911yescharacteristic
1404#97—591no—
1405#97—591no—
1406C4×C8—591no—
1407C4×C8C22×D5911yescharacteristic
1408C24—21no—
1409C24—21no—
1410C24—591no—
1411C24—1181no—
1412C24—1181no—
1413#41—594no—
1414#41—1182no—
1415#41—1182no—
1416#41—1182no—
1417#41—1182no—
1418#41—1182no—
1419#41—1182no—
1420#41—1182no—
1421#41—1182no—
1422#41—1182no—
1423#41—2361no—
1424#41—2364no—
1425#41—2361no—
1426#41—2361no—
1427#41—2361no—
1428#41—2364no—
1429#41—2364no—
1430C2×Q8—21no—
1431C2×Q8—591no—
1432C2×Q8—591no—
1433C2×Q8—591no—
1434C2×Q8—591no—
1435C2×Q8—1181no—
1436C2×Q8—1181no—
1437C2×Q8—1182no—
1438C2×Q8—1182no—
1439C2×Q8—1182no—
1440C2×Q8—1181no—
1441C2×Q8—2361no—
1442C2×Q8C23×D5911yescharacteristic
1443C2×D4—22no—
1444C2×D4—22no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—41no—
1452C2×D4—41no—
1453C2×D4—82no—
1454C2×D4—591no—
1455C2×D4—591no—
1456C2×D4—591no—
1457C2×D4—591no—
1458C2×D4—591no—
1459C2×D4—591no—
1460C2×D4—591no—
1461C2×D4—1181no—
1462C2×D4—1182no—
1463C2×D4—1182no—
1464C2×D4—1181no—
1465C2×D4—1181no—
1466C2×D4—1181no—
1467C2×D4—1181no—
1468C2×D4—1181no—
1469C2×D4—1182no—
1470C2×D4—1181no—
1471C2×D4—1181no—
1472C2×D4—1181no—
1473C2×D4—1181no—
1474C2×D4—1181no—
1475C2×D4—1181no—
1476C2×D4—1181no—
1477C2×D4—1181no—
1478C2×D4—4722no—
1479C2×D4—4722no—
1480C2×D4—2361no—
1481C2×D4—2364no—
1482C2×D4—2364no—
1483C2×D4—2364no—
1484C2×D4—2364no—
1485C2×D4D4×D5911yescharacteristic
1486C2×D4C23×D5911yescharacteristic
1487C2×D4C23×D5911yescharacteristic
1488C2×D4C23×D5911yescharacteristic
1489C22×C4—21no—
1490C22×C4—591no—
1491C22×C4—591no—
1492C22×C4—591no—
1493C22×C4—591no—
1494C22×C4—591no—
1495C22×C4—591no—
1496C22×C4—1182no—
1497C22×C4—1182no—
1498C22×C4—1181no—
1499C22×C4—1181no—
1500C22×C4—1181no—
1501C22×C4—1181no—
1502C22×C4—1181no—
1503C22×C4—1181no—
1504C22×C4—1181no—
1505C22×C4—1181no—
1506C22×C4—1181no—
1507C22×C4—1181no—
1508C22×C4—1181no—
1509C22×C4—1181no—
1510C22×C4—1181no—
1511C22×C4—1181no—
1512C22×C4—1181no—
1513C22×C4—2364no—
1514C22×C4C23×D5911yescharacteristic
1515C22×C4C23×D5911yescharacteristic
1516Q16—1182no—
1517Q16—1182no—
1518Q16—2361no—
1519Q16—2361no—
1520SD16—22no—
1521SD16—41no—
1522SD16—41no—
1523SD16—1182no—
1524SD16—2361no—
1525SD16—2361no—
1526SD16—2361no—
1527SD16—2361no—
1528M16—41no—
1529M16—41no—
1530M16—1182no—
1531M16—1182no—
1532M16—2361no—
1533M16—2361no—
1534M16—2361no—
1535M16—2361no—
1536C2×C8—591no—
1537C2×C8—591no—
1538C2×C8—591no—
1539C2×C8—591no—
1540C2×C8—1182no—
1541C2×C8—1182no—
1542C2×C8—2361no—
1543C2×C8—2361no—
1544C2×C8C23×D5911yescharacteristic
1545C2×C8C23×D5911yescharacteristic
1546C2×C8C23×D5911yescharacteristic
1547C2×C8C23×D5911yescharacteristic
1548C4⋊C4—21no—
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—591no—
1553C4⋊C4—591no—
1554C4⋊C4—591no—
1555C4⋊C4—591no—
1556C4⋊C4—591no—
1557C4⋊C4—591no—
1558C4⋊C4—591no—
1559C4⋊C4—591no—
1560C4⋊C4—591no—
1561C4⋊C4—1181no—
1562C4⋊C4—1181no—
1563C4⋊C4—1181no—
1564C4⋊C4—1181no—
1565C4⋊C4—1181no—
1566C4⋊C4—1181no—
1567C4⋊C4—1181no—
1568C4⋊C4—1181no—
1569C4⋊C4—1181no—
1570C4⋊C4—1181no—
1571C4⋊C4—1181no—
1572C4⋊C4—1181no—
1573C4⋊C4—1181no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4—1181no—
1579C4⋊C4—1181no—
1580C4⋊C4—1181no—
1581C4⋊C4—1181no—
1582C4⋊C4—1181no—
1583C4⋊C4—1181no—
1584C4⋊C4—1181no—
1585C4⋊C4D4×D5911yescharacteristic
1586C4⋊C4C23×D5911yescharacteristic
1587C4⋊C4C23×D5911yescharacteristic
1588C4⋊C4C23×D5911yescharacteristic
1589C4⋊C4C23×D5911yescharacteristic
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—591no—
1598C22⋊C4—591no—
1599C22⋊C4—591no—
1600C22⋊C4—591no—
1601C22⋊C4—591no—
1602C22⋊C4—591no—
1603C22⋊C4—591no—
1604C22⋊C4—591no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
1609C22⋊C4—1181no—
1610C22⋊C4—1181no—
1611C22⋊C4—1181no—
1612C22⋊C4—1181no—
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4—1181no—
1617C22⋊C4—1181no—
1618C22⋊C4—1181no—
1619C22⋊C4—1181no—
1620C22⋊C4—1181no—
1621C22⋊C4—1181no—
1622C22⋊C4—1181no—
1623C22⋊C4—1181no—
1624C22⋊C4—1181no—
1625C22⋊C4—1181no—
1626C22⋊C4D4×D5911yescharacteristic
1627C22⋊C4D4×D5911yescharacteristic
1628C42—21no—
1629C42—21no—
1630C42—21no—
1631C42—591no—
1632C42—1181no—
1633C42—1181no—
1634C42—1181no—
1635C42—1181no—
1636C42—1181no—
1637C42—1181no—
1638C42—1181no—
1639C42—1181no—
1640C42—1181no—
1641C42C23×D5911yescharacteristic
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—42no—
1646C23—42no—
1647C23—42no—
1648C23—81no—
1649C23—81no—
1650C23—81no—
1651C23—591no—
1652C23—591no—
1653C23—591no—
1654C23—1182no—
1655C23—1181no—
1656C23—4721no—
1657C23—4721no—
1658C23—4721no—
1659C23—4721no—
1660C23—2361no—
1661C23—2361no—
1662C23—2362no—
1663C23—2362no—
1664C23C2×D4×D5911yescharacteristic
1665C23C2×D4×D5911yescharacteristic
1666Q8—21no—
1667Q8—21no—
1668Q8—81no—
1669Q8—592no—
1670Q8—1182no—
1671Q8—1181no—
1672Q8—1181no—
1673Q8—1181no—
1674Q8—1181no—
1675Q8—1181no—
1676Q8—4721no—
1677Q8—2362no—
1678Q8—2362no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—21no—
1684D4—41no—
1685D4—42no—
1686D4—42no—
1687D4—42no—
1688D4—81no—
1689D4—81no—
1690D4—81no—
1691D4—1182no—
1692D4—1182no—
1693D4—1182no—
1694D4—1184no—
1695D4—1181no—
1696D4—1181no—
1697D4—4721no—
1698D4—4721no—
1699D4—4721no—
1700D4—4721no—
1701D4—4721no—
1702D4—2361no—
1703D4—2362no—
1704D4—2361no—
1705D4—2361no—
1706D4—2362no—
1707D4—2362no—
1708D4—2362no—
1709D4—2362no—
1710D4—2362no—
1711D4—2362no—
1712D4—2362no—
1713D4#41×D5912yes—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—81no—
1724C2×C4—591no—
1725C2×C4—592no—
1726C2×C4—592no—
1727C2×C4—591no—
1728C2×C4—591no—
1729C2×C4—591no—
1730C2×C4—591no—
1731C2×C4—1182no—
1732C2×C4—1182no—
1733C2×C4—1182no—
1734C2×C4—1184no—
1735C2×C4—1181no—
1736C2×C4—1181no—
1737C2×C4—1181no—
1738C2×C4—1181no—
1739C2×C4—1181no—
1740C2×C4—1181no—
1741C2×C4—1181no—
1742C2×C4—1181no—
1743C2×C4—1181no—
1744C2×C4—1181no—
1745C2×C4—1181no—
1746C2×C4—4721no—
1747C2×C4—4721no—
1748C2×C4—4721no—
1749C2×C4—4721no—
1750C2×C4—4721no—
1751C2×C4—4721no—
1752C2×C4—2362no—
1753C2×C4—2362no—
1754C2×C4—2362no—
1755C2×C4—2362no—
1756C2×C4—2362no—
1757C2×C4—2362no—
1758C2×C4—2362no—
1759C2×C4—2362no—
1760C2×C4C2×D4×D5911yescharacteristic
1761C2×C4C2×D4×D5911yescharacteristic
1762C2×C4C2×D4×D5911yescharacteristic
1763C2×C4C2×D4×D5911yescharacteristic
1764C2×C4C24×D5911yescharacteristic
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—21no—
1769C8—1181no—
1770C8—1181no—
1771C8—1181no—
1772C8—1181no—
1773C22—21no—
1774C22—21no—
1775C22—22no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—84no—
1789C22—162no—
1790C22—592no—
1791C22—1181no—
1792C22—1181no—
1793C22—1181no—
1794C22—1181no—
1795C22—1181no—
1796C22—1181no—
1797C22—1181no—
1798C22—1181no—
1799C22—9442no—
1800C22—9442no—
1801C22—4722no—
1802C22—2361no—
1803C22—2361no—
1804C22—2361no—
1805C22C22×D4×D5911yescharacteristic
1806C4—21no—
1807C4—21no—
1808C4—21no—
1809C4—21no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—592no—
1816C4—1181no—
1817C4—1181no—
1818C4—1182no—
1819C4—1181no—
1820C4—1181no—
1821C4—2361no—
1822C4—2361no—
1823C4—2361no—
1824C4—2361no—
1825C4—2361no—
1826C4—2361no—
1827C4C2×#41×D5911yescharacteristic
1828C4H(5,𝔽2)×D5911yescharacteristic
1829C2—41no—
1830C2—41no—
1831C2—42no—
1832C2—81no—
1833C2—81no—
1834C2—1182no—
1835C2—4721no—
1836C2—2361no—
1837C2—2361no—
1838C2#546×D5911yescharacteristic
1839C2#2143887211yescharacteristic
1840C2#2143887811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3324C2
socleC22×C59C23×D4
prime radical#21437756C2
hypercenter#3324D59
hypocenterC59#61180
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3324

Complements

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

NH ≅ G/Ntype
1. #21437841C2semidirect
3. #21436433C2semidirect
4. #21436429C2semidirect
5. #21436370C2semidirect
6. #21436366C2semidirect
7. #21436323C2semidirect
8. #21436317C2semidirect
9. #21436308C2semidirect
10. #21436229C2semidirect
11. #21436220C2semidirect
12. #21436181C2semidirect
13. #21436174C2semidirect
14. #21436165C2semidirect
15. #21436156C2semidirect
16. #21436117C2semidirect
17. #21436110C2semidirect
18. #21434445C2semidirect
19. #21434071C2semidirect
20. #21434035C2semidirect
21. #21433942C2semidirect
22. #21433782C2semidirect
23. #468×D59C2semidirect
24. #21433612C2semidirect
25. #21433368C2semidirect
26. #21433351C2semidirect
27. #21432932C2semidirect
28. #21432796C2semidirect
29. #21432621C2semidirect
30. #21432610C2semidirect
31. C59×#3324C2semidirect
35. C2×#14273756C22semidirect
36. C2×SD16×D59C22semidirect
37. C2×#14273735C22semidirect
38. C2×M16×D59C22semidirect
39. #16838120C22semidirect
40. #16838113C22semidirect
41. #16838110C22semidirect
43. #16838093C22semidirect
44. #16838092C22semidirect
45. #16838091C22semidirect
47. #16838086C22semidirect
61. #16838029C22semidirect
66. #16837975C22semidirect
73. C22⋊Q8×D59C22semidirect
76. #16837882C22semidirect
78. #16837878C22semidirect
79. #117×D59C22semidirect
80. #16837766C22semidirect
81. #16837765C22semidirect
82. #16837764C22semidirect
83. #16837760C22semidirect
84. #16837757C22semidirect
85. #16837755C22semidirect
86. #16837747C22semidirect
87. #16837746C22semidirect
88. #16837743C22semidirect
89. #16837739C22semidirect
90. #16837738C22semidirect
91. #16837727C22semidirect
92. #16837726C22semidirect
93. #16837724C22semidirect
94. #16837723C22semidirect
95. #16837722C22semidirect
96. #16837719C22semidirect
97. #16837717C22semidirect
98. #16837714C22semidirect
99. #16837714C22semidirect
100. #16837713C22semidirect
101. #16837710C22semidirect
102. #16837708C22semidirect
103. #16837704C22semidirect
104. #16837702C22semidirect
105. #16837696C22semidirect
106. #16837694C22semidirect
107. #16837680C22semidirect
108. #16837660C22semidirect
109. #16837659C22semidirect
110. #16837651C22semidirect
111. #16837650C22semidirect
112. #16837649C22semidirect
113. #16837648C22semidirect
114. #16837647C22semidirect
115. #16837647C22semidirect
116. #16837646C22semidirect
117. #16837645C22semidirect
118. #16837644C22semidirect
119. #16837641C22semidirect
120. #16837629C22semidirect
121. #16837628C22semidirect
122. #16837625C22semidirect
123. #16837624C22semidirect
124. #16837623C22semidirect
125. #16837622C22semidirect
126. #16837601C22semidirect
127. #16837600C22semidirect
128. #16837599C22semidirect
129. #16837566C22semidirect
130. #16837565C22semidirect
131. #16837565C22semidirect
132. #16837565C22semidirect
133. #16837562C22semidirect
134. #16837561C22semidirect
135. #16837561C22semidirect
136. #16837561C22semidirect
137. #16837560C22semidirect
138. #16837557C22semidirect
139. #16837554C22semidirect
140. #16837553C22semidirect
141. #16837553C22semidirect
142. #16837551C22semidirect
143. #16837508C22semidirect
144. #16837507C22semidirect
145. #16837503C22semidirect
146. #16837502C22semidirect
147. C4×Dic236C22semidirect
148. #16837494C22semidirect
149. #16837493C22semidirect
150. #16837481C22semidirect
151. #16837478C22semidirect
152. #16837478C22semidirect
153. #16837476C22semidirect
154. #16837474C22semidirect
155. #16837472C22semidirect
156. #16837470C22semidirect
157. #16837443C22semidirect
158. #16837441C22semidirect
159. #107×D59C22semidirect
160. #16837427C22semidirect
161. #16837412C22semidirect
162. #16837410C22semidirect
163. #16837407C22semidirect
164. #16837405C22semidirect
165. #16837405C22semidirect
166. #16837405C22semidirect
167. #16837404C22semidirect
169. #16837400C22semidirect
170. #16837400C22semidirect
171. #16837400C22semidirect
172. #16837400C22semidirect
173. #16837400C22semidirect
174. #16837400C22semidirect
175. #16837396C22semidirect
178. #16837395C22semidirect
179. #16837395C22semidirect
180. #16837395C22semidirect
181. #103×D59C22semidirect
182. C2×#14273648C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. #16837364C22semidirect
187. #16837356C22semidirect
188. C59×#556C22semidirect
190. C59×#486C22semidirect
191. C59×#482C22semidirect
192. C59×#482C22semidirect
193. C59×#474C22semidirect
194. C59×#468C22semidirect
195. C59×#468C22semidirect
196. C59×#460C22semidirect
197. C59×#450C22semidirect
198. C59×#450C22semidirect
199. C4×SD16×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#418C22semidirect
202. C59×#418C22semidirect
916. #3324D59semidirect
960. #556C2×D59semidirect
1009. #486C2×D59semidirect
1018. #482C2×D59semidirect
1019. #482C2×D59semidirect
1033. #474C2×D59semidirect
1044. #468C2×D59semidirect
1045. #468C2×D59semidirect
1057. #460C2×D59semidirect
1072. #450C2×D59semidirect
1073. #450C2×D59semidirect
1081. C4×SD16C2×D59semidirect
1085. #436C2×D59semidirect
1100. #418C2×D59semidirect
1101. #418C2×D59semidirect
1123. C59#61180semidirect

Maximal subgroups

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

subgroupindex
#214378412
#214377562
#214364332
#214364292
#214363702
#214363662
#214363232
#214363172
#214363082
#214362292
#214362202
#214361812
#214361742
#214361652
#214361562
#214361172
#214361102
#214344452
#214340712
#214340352
#214339422
#214337822
#468×D592
#214336122
#214333682
#214333512
#214329322
#214327962
#214326212
#214326102
C59×#33242
#6118059