Finite Group Databasebeta

← #29474509

Subgroups — #29474509

Order 15104.

2088 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438316C211yesmaximal, characteristic, complemented
2#21437767C211yesmaximal, characteristic, complemented
3#21436403C211yesmaximal, characteristic, complemented
4#21436394C211yesmaximal, characteristic, complemented
5#21436181C211yesmaximal, characteristic, complemented
6#21436177C211yesmaximal, characteristic, complemented
7#21436094C211yesmaximal, characteristic, complemented
8#21436093C211yesmaximal, characteristic, complemented
9#21435973C211yesmaximal, characteristic, complemented
10#21435967C211yesmaximal, characteristic, complemented
11#21435781C211yesmaximal, characteristic, complemented
12#21435751C211yesmaximal, characteristic, complemented
13#21435746C211yesmaximal, characteristic, complemented
14#21435657C211yesmaximal, characteristic, complemented
15#21435651C211yesmaximal, characteristic, complemented
16#21435610C211yesmaximal, characteristic, complemented
17#21435602C211yesmaximal, characteristic, complemented
18#21435202C211yesmaximal, characteristic, complemented
19#21435198C211yesmaximal, characteristic, complemented
20#21434995C211yesmaximal, characteristic, complemented
21#21434992C211yesmaximal, characteristic, complemented
22#21434899C211yesmaximal, characteristic, complemented
23#21434867C211yesmaximal, characteristic, complemented
24#21434355C211yesmaximal, characteristic, complemented
25#21434354C211yesmaximal, characteristic, complemented
26#21433409C211yesmaximal, characteristic, complemented
27#21433407C211yesmaximal, characteristic, complemented
28#21433351C211yesmaximal, characteristic, complemented
29C2×#16837544C211yesmaximal, characteristic, complemented
30#21433138C211yesmaximal, characteristic, complemented
31C59×#3280C211yesmaximal, characteristic, complemented
32C2×#14273774C2211yescharacteristic, complemented
33C22×#11745687C2211yescharacteristic
34C2×#14273757C2211yescharacteristic, complemented
35C2×#14273756C2211yescharacteristic, complemented
36C2×#14273756C2211yescharacteristic, complemented
37C2×#14273756C2211yescharacteristic, complemented
38C2×#14273746C2211yescharacteristic, complemented
39C22×#11745670C2211yescharacteristic
40#16838149—21no—
41#16838147—21no—
42#16838110C2211yescharacteristic
43#16838109C2211yescharacteristic
44D4×Dic118C2211yescharacteristic
45#16838065C2211yescharacteristic
46#16838060C2211yescharacteristic, complemented
47#16838060C2211yescharacteristic, complemented
48#16838059C2211yescharacteristic, complemented
49#16838058C2211yescharacteristic, complemented
50#16838057C2211yescharacteristic, complemented
51#16838056C2211yescharacteristic, complemented
52#16838052—21no—
53#16838052C2211yescharacteristic, complemented
54#16838051C2211yescharacteristic, complemented
55#16838050—21no—
56#16838046C2211yescharacteristic
57#16838046C2211yescharacteristic
58#16838042—21no—
59#16838042—21no—
60#16838039—21no—
61#16838039—21no—
62#16838028—21no—
63#16838021C2211yescharacteristic, complemented
64#16838017C2211yescharacteristic, complemented
65#16837995—21no—
66#16837987—21no—
67#16837981—21no—
68#16837981C2211yescharacteristic, complemented
69#16837981C2211yescharacteristic, complemented
70#16837980C2211yescharacteristic, complemented
71#16837979—21no—
72#16837974—21no—
73#16837972C2211yescharacteristic, complemented
74#16837911C2211yescharacteristic
75#16837908—21no—
76C2×#14273704—21no—
77C22⋊Q8×D59C2211yescharacteristic
78C22⋊Q8×D59C2211yescharacteristic
79C2×#14273698C2211yescharacteristic
80#16837881C2211yescharacteristic, complemented
81#16837797C2211yescharacteristic, complemented
82#16837793C2211yescharacteristic, complemented
83#16837785C2211yescharacteristic, complemented
84#16837761C2211yescharacteristic, complemented
85#16837760C2211yescharacteristic, complemented
86#16837753C2211yescharacteristic, complemented
87#16837751C2211yescharacteristic, complemented
88#16837739C2211yescharacteristic, complemented
89#16837739C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic, complemented
91#16837738C2211yescharacteristic
92#16837738C2211yescharacteristic, complemented
93#16837736C2211yescharacteristic, complemented
94#16837736C2211yescharacteristic, complemented
95#16837735C2211yescharacteristic
96#16837714C2211yescharacteristic, complemented
97#16837714C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837713C2211yescharacteristic, complemented
100#16837698C2211yescharacteristic, complemented
101#16837696C2211yescharacteristic, complemented
102#16837682C2211yescharacteristic, complemented
103#16837680C2211yescharacteristic, complemented
104#16837647C2211yescharacteristic, complemented
105#16837647C2211yescharacteristic, complemented
106#16837647C2211yescharacteristic, complemented
107#16837646C2211yescharacteristic, complemented
108#16837646C2211yescharacteristic, complemented
109#16837645C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837645C2211yescharacteristic, complemented
112#16837643C2211yescharacteristic
113#16837643C2211yescharacteristic, complemented
114#16837642C2211yescharacteristic, complemented
115#16837641C2211yescharacteristic
116#16837641C2211yescharacteristic
117#16837635C2211yescharacteristic, complemented
118#16837623C2211yescharacteristic, complemented
119#16837622C2211yescharacteristic, complemented
120#16837621C2211yescharacteristic, complemented
121#16837621C2211yescharacteristic, complemented
122#16837615C2211yescharacteristic, complemented
123#16837615C2211yescharacteristic, complemented
124#16837613C2211yescharacteristic, complemented
125#16837610C2211yescharacteristic, complemented
126#16837607C2211yescharacteristic, complemented
127#16837605C2211yescharacteristic, complemented
128#16837565C2211yescharacteristic, complemented
129#16837565C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837564C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837561C2211yescharacteristic, complemented
134#16837561C2211yescharacteristic, complemented
135#16837561C2211yescharacteristic, complemented
136#16837560C2211yescharacteristic
137#16837560C2211yescharacteristic, complemented
138#16837559C2211yescharacteristic, complemented
139#16837559C2211yescharacteristic, complemented
140#16837557C2211yescharacteristic
141#16837556C2211yescharacteristic, complemented
142#16837556C2211yescharacteristic, complemented
143#16837556C2211yescharacteristic, complemented
144#16837553C2211yescharacteristic
145#16837553C2211yescharacteristic
146#16837544C2211yescharacteristic
147#16837544C2211yescharacteristic
148#16837544C2211yescharacteristic
149#16837544C2211yescharacteristic
150#16837544C2211yescharacteristic
151#16837544C2211yescharacteristic
152#16837544C2211yescharacteristic
153#16837544C2211yescharacteristic
154#16837544C2211yescharacteristic, complemented
155#16837544C2211yescharacteristic, complemented
156#16837540C2211yescharacteristic, complemented
157#16837539C2211yescharacteristic, complemented
158#16837539C2211yescharacteristic, complemented
159#16837539C2211yescharacteristic, complemented
160#16837503C2211yescharacteristic, complemented
161#16837502C2211yescharacteristic, complemented
162#16837502C2211yescharacteristic, complemented
163#16837499C2211yescharacteristic, complemented
164C4×Dic236C2211yescharacteristic, complemented
165#16837494C2211yescharacteristic, complemented
166D8×Dic59C2211yescharacteristic, complemented
167#16837481C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837474C2211yescharacteristic
170#16837473C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172#16837470C2211yescharacteristic
173C8×C22⋊D59C2211yescharacteristic
174#16837462C2211yescharacteristic, complemented
175#16837461C2211yescharacteristic, complemented
176#16837403C2211yescharacteristic, complemented
177#16837400C2211yescharacteristic, complemented
178#16837400C2211yescharacteristic, complemented
179#16837400C2211yescharacteristic, complemented
180C2×#14273652C2211yescharacteristic
181C2×#14273652C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183C2×#14273648C2211yescharacteristic
184#16837368C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic
187C2×(C2×D59)⋊C8C2211yescharacteristic
188C2×#135×C59C2211yescharacteristic, complemented
189C22×D8×C59C2211yescharacteristic
190C59×#546C2211yescharacteristic
191C59×#546C2211yescharacteristic
192C59×#495C2211yescharacteristic, complemented
193C59×#467C2211yescharacteristic
194C59×#466C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic
198C59×#450C2211yescharacteristic
199C59×#449C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic, complemented
202C8×D4×C59C2211yescharacteristic
203#14273774—42no—
204#14273774—42no—
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685C2311yescharacteristic
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687—21no—
212C2×#11745687—21no—
213C2×#11745687—42no—
214C2×#11745687—42no—
215C2×#11745687C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217C2×#11745687C2311yescharacteristic
218C2×#11745687C2311yescharacteristic
219C2×#11745687C2311yescharacteristic
220C2×#11745687C2311yescharacteristic
221C22×Dic118—21no—
222C22×Dic118C2311yescharacteristic
223C22×Dic118C2311yescharacteristic
224C2×Q8×D59C2311yescharacteristic
225C2×Q8×D59C2311yescharacteristic
226C2×Q8×D59C2311yescharacteristic
227C22×C22⋊D59—21no—
228C22×C22⋊D59—21no—
229C23×Dic59—21no—
230C22×C4×D59C2311yescharacteristic
231#14273757—42no—
232#14273756—42no—
233#14273756—42no—
234#14273756—42no—
235#14273746—42no—
236C2×Dic236C2311yescharacteristic
237C2×Dic236C2311yescharacteristic
238C2×Dic236C2311yescharacteristic
239C2×#11745672C2311yescharacteristic
240C2×#11745672C2311yescharacteristic
241C2×#11745672C2311yescharacteristic
242C2×#11745672C2311yescharacteristic
243C2×#11745670—42no—
244C2×#11745670C2311yescharacteristic
245C2×#11745670C2311yescharacteristic
246C2×#11745670C2311yescharacteristic
247C2×#11745670C2311yescharacteristic
248C2×#11745670C2311yescharacteristic
249C2×#11745670C2311yescharacteristic
250C2×#11745670C2311yescharacteristic
251C2×#11745670C2311yescharacteristic
252C2×#11745664C2311yescharacteristic
253C2×#11745659C2311yescharacteristic
254C2×#11745659C2311yescharacteristic
255C2×#11745659C2311yescharacteristic
256C22×C59⋊C8C2311yescharacteristic
257C2×C8×D59C2311yescharacteristic
258#14273727C2311yescharacteristic
259#14273727C2311yescharacteristic
260#14273726—21no—
261#14273726—21no—
262#14273726C2311yescharacteristic
263#14273725C2311yescharacteristic
264#14273720—21no—
265#14273720—21no—
266#14273718—21no—
267#14273717—21no—
268#14273714—21no—
269#14273714C2311yescharacteristic
270#14273714C2311yescharacteristic
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273712D411yescharacteristic
277#14273711—21no—
278#14273711—21no—
279#14273711—21no—
280#14273710—21no—
281#14273710—21no—
282#14273709—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709D411yescharacteristic
288#14273708—21no—
289#14273708—21no—
290#14273708—21no—
291#14273708—21no—
292#14273707—21no—
293#14273707C2311yescharacteristic
294#14273707C2311yescharacteristic
295#14273707C2311yescharacteristic
296#14273706—21no—
297#14273706—21no—
298#14273706—21no—
299#14273706—21no—
300#14273706C2311yescharacteristic
301#14273706C2311yescharacteristic
302#14273706C2311yescharacteristic
303#14273706C2311yescharacteristic
304#14273705—21no—
305#14273705—21no—
306#14273705—21no—
307#14273705D411yescharacteristic
308#14273704—21no—
309#14273704—21no—
310#14273704—21no—
311#14273704—21no—
312#14273704—21no—
313#14273704—21no—
314#14273704—21no—
315#14273704—21no—
316#14273704—21no—
317#14273704—21no—
318#14273704—21no—
319#14273704—21no—
320#14273704—21no—
321#14273704—21no—
322#14273704—21no—
323#14273704—21no—
324#14273704—21no—
325#14273704D411yescharacteristic
326#14273703C2311yescharacteristic
327#14273703C2311yescharacteristic
328#14273703C2311yescharacteristic
329#14273701—21no—
330#14273701—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700D411yescharacteristic
336#14273699—21no—
337#14273699—21no—
338#14273699—21no—
339#14273699—21no—
340#14273699—21no—
341#14273699—21no—
342#14273699—21no—
343#14273699—21no—
344#14273699D411yescharacteristic
345#14273698—21no—
346#14273698—21no—
347#14273698—21no—
348#14273698—21no—
349#14273698—21no—
350#14273698C2311yescharacteristic
351#14273698C2311yescharacteristic
352#14273698C2311yescharacteristic
353#14273698C2311yescharacteristic
354#14273698C2311yescharacteristic
355#14273698C2311yescharacteristic
356#14273697D411yescharacteristic
357#14273696—21no—
358#14273696—21no—
359#14273695D411yescharacteristic
360Q8×Dic59C2311yescharacteristic
361C4×Dic118C2311yescharacteristic
362C4×Dic118C2311yescharacteristic
363#14273692C2311yescharacteristic
364C4×D236C2311yescharacteristic
365D4×Dic59—21no—
366D4×Dic59—21no—
367D4×Dic59—21no—
368D4×Dic59C2311yescharacteristic
369D4×Dic59C2311yescharacteristic
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59C2311yescharacteristic
373C4×C22⋊D59C2311yescharacteristic
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379#14273684C2311yescharacteristic
380#14273683—21no—
381C2×C4⋊Dic59—21no—
382C2×C4⋊Dic59C2311yescharacteristic
383C2×C4⋊Dic59C2311yescharacteristic
384C2×Dic59⋊C4—21no—
385C2×Dic59⋊C4—21no—
386C4⋊C4×D59—21no—
387C4⋊C4×D59—21no—
388C4⋊C4×D59C2311yescharacteristic
389C4⋊C4×D59C2311yescharacteristic
390C4⋊C4×D59C2311yescharacteristic
391C2×C22⋊Dic59—21no—
392C2×C22⋊Dic59—21no—
393C2×C22⋊Dic59—21no—
394C22⋊C4×D59—21no—
395C22⋊C4×D59—21no—
396#14273661C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273661C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273660C2311yescharacteristic
401#14273660C2311yescharacteristic
402#14273660C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273652C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273651C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273650C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273648C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442#14273638C2311yescharacteristic
443#14273637C2311yescharacteristic
444C8×Dic59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×#41×C59C2311yescharacteristic
447C22×D4×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic
449#135×C59—42no—
450C2×Q16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×SD16×C59C2311yescharacteristic
455C2×D8×C59—42no—
456C2×D8×C59C2311yescharacteristic
457C2×D8×C59C2311yescharacteristic
458C2×D8×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C22×C8×C59C2311yescharacteristic
461C22×C8×C59C2311yescharacteristic
462#124×C59C2311yescharacteristic
463#124×C59C2311yescharacteristic
464#123×C59—21no—
465#123×C59—21no—
466C22⋊Q8×C59C2311yescharacteristic
467C22⋊Q8×C59C2311yescharacteristic
468#121×C59—21no—
469#121×C59—21no—
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic
472#120×C59—21no—
473#120×C59—21no—
474C4×D4×C59C2311yescharacteristic
475C4×D4×C59C2311yescharacteristic
476C4×D4×C59C2311yescharacteristic
477C2×C22⋊C4×C59—21no—
478C2×C22⋊C4×C59—21no—
479#107×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59—21no—
492C23×D59C2×D411yescharacteristic
493#41×C59—22no—
494#41×C59—41no—
495#41×C59—41no—
496#41×C59—41no—
497C2×Q8×C59C2411yescharacteristic
498C2×Q8×C59C2411yescharacteristic
499C2×D4×C59—22no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—41no—
507C2×D4×C59—41no—
508C2×D4×C59—41no—
509C2×D4×C59C2×D411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59C2411yescharacteristic
519C22×C4×C59C2411yescharacteristic
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—44no—
533C2×C22⋊D59—82no—
534C2×C22⋊D59C2×D411yescharacteristic
535C2×C22⋊D59C2×D411yescharacteristic
536C2×C22⋊D59C2×D411yescharacteristic
537C2×C22⋊D59C2×D411yescharacteristic
538C22×Dic59—21no—
539C22×Dic59—21no—
540C22×Dic59—21no—
541C22×Dic59—21no—
542C22×Dic59—21no—
543C22×Dic59—21no—
544C22×Dic59—21no—
545C22×Dic59—21no—
546C22×Dic59—21no—
547C22×Dic59—21no—
548C22×Dic59—21no—
549C22×Dic59—21no—
550C22×Dic59—44no—
551C22×Dic59C2×D411yescharacteristic
552Q8×D59—22no—
553Q8×D59—41no—
554Q8×D59—41no—
555Q8×D59—41no—
556Q8×D59—41no—
557Q8×D59—41no—
558#11745687—22no—
559#11745687—22no—
560#11745687—22no—
561#11745687—22no—
562#11745687—22no—
563#11745687—41no—
564#11745687—41no—
565#11745687—41no—
566#11745687—41no—
567#11745687—41no—
568#11745687—41no—
569#11745687—41no—
570#11745687—44no—
571#11745687—44no—
572#11745687—44no—
573#11745687—44no—
574#11745687—82no—
575#11745685—41no—
576#11745685—41no—
577#11745685—44no—
578#11745685—82no—
579C2×D236C2×D411yescharacteristic
580C2×D236C2×D411yescharacteristic
581C2×C4×D59—21no—
582C2×C4×D59—21no—
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—41no—
588C2×C4×D59—41no—
589C2×C4×D59C2×D411yescharacteristic
590C2×C4×D59C2×D411yescharacteristic
591C2×C4×D59C2411yescharacteristic
592C2×C4×D59C2411yescharacteristic
593C2×C4×D59C2411yescharacteristic
594C2×Dic118—22no—
595C2×Dic118—22no—
596C2×Dic118—21no—
597C2×Dic118—21no—
598C2×Dic118—21no—
599C2×Dic118—21no—
600C2×Dic118—21no—
601C2×Dic118—21no—
602C2×Dic118—21no—
603C2×Dic118—41no—
604C2×Dic118—41no—
605C2×Dic118—44no—
606C2×Dic118C2×D411yescharacteristic
607C2×Dic118C2411yescharacteristic
608C2×Dic118C2411yescharacteristic
609C2×Dic118C2411yescharacteristic
610C2×Dic118C2411yescharacteristic
611Q16×C59—41no—
612SD16×C59—22no—
613SD16×C59—41no—
614SD16×C59—41no—
615SD16×C59—41no—
616D8×C59—22no—
617D8×C59—22no—
618D8×C59—41no—
619D8×C59—41no—
620C2×C8×C59—41no—
621C2×C8×C59—41no—
622C2×C8×C59C2411yescharacteristic
623C2×C8×C59C2411yescharacteristic
624C2×C8×C59C2411yescharacteristic
625C2×C8×C59C2411yescharacteristic
626C4⋊C4×C59—21no—
627C4⋊C4×C59—21no—
628C4⋊C4×C59C2×D411yescharacteristic
629C4⋊C4×C59C2411yescharacteristic
630C4⋊C4×C59C2411yescharacteristic
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊C4×C59—21no—
641C22⋊C4×C59C2×D411yescharacteristic
642C22⋊C4×C59C2×D411yescharacteristic
643C42×C59C2411yescharacteristic
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59C2×D411yescharacteristic
661C22⋊Dic59C2×D411yescharacteristic
662#11745672—22no—
663#11745672—41no—
664#11745672—41no—
665#11745672—41no—
666#11745670—22no—
667#11745670—22no—
668#11745670—22no—
669#11745670—41no—
670#11745670—41no—
671#11745670—41no—
672#11745670—41no—
673#11745670—41no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4C2×D411yescharacteristic
681(C2×D59)⋊C4C2×D411yescharacteristic
682(C2×D59)⋊C4C2×D411yescharacteristic
683(C2×D59)⋊C4C2×D411yescharacteristic
684(C2×D59)⋊C4C2×D411yescharacteristic
685(C2×D59)⋊C4C2×D411yescharacteristic
686C4⋊Dic59—21no—
687C4⋊Dic59—21no—
688C4⋊Dic59—21no—
689C4⋊Dic59—21no—
690C4⋊Dic59—21no—
691C4⋊Dic59—21no—
692C4⋊Dic59—21no—
693C4⋊Dic59—21no—
694C4⋊Dic59—21no—
695C4⋊Dic59C2×D411yescharacteristic
696C4⋊Dic59C2411yescharacteristic
697C4⋊Dic59C2411yescharacteristic
698C4⋊Dic59C2411yescharacteristic
699C4⋊Dic59C2411yescharacteristic
700Dic59⋊C4—21no—
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4C2×D411yescharacteristic
717Dic59⋊C4C2×D411yescharacteristic
718Dic59⋊C4C2×D411yescharacteristic
719Dic59⋊C4C2×D411yescharacteristic
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59—21no—
723C4×Dic59—21no—
724C4×Dic59C2411yescharacteristic
725#11745664—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731Dic236—22no—
732Dic236—41no—
733Dic236—41no—
734#11745659—41no—
735#11745659—41no—
736#11745659—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59—21no—
741C23×C59—21no—
742C23×C59—42no—
743C23×C59—42no—
744C23×C59—42no—
745C23×C59—81no—
746C23×C59—81no—
747C23×C59—81no—
748C23×C59C22×D411yescharacteristic
749C23×C59C22×D411yescharacteristic
750C22×D59—22no—
751C22×D59—41no—
752C22×D59—41no—
753C22×D59C22×D411yescharacteristic
754C22×D59C22×D411yescharacteristic
755C22×D59C22×D411yescharacteristic
756Q8×C59—21no—
757Q8×C59—21no—
758Q8×C59—21no—
759Q8×C59—21no—
760D4×C59—22no—
761D4×C59—21no—
762D4×C59—21no—
763D4×C59—21no—
764D4×C59—21no—
765D4×C59—21no—
766D4×C59—21no—
767D4×C59—21no—
768D4×C59—42no—
769D4×C59—42no—
770D4×C59—81no—
771D4×C59—81no—
772D4×C59—81no—
773D4×C59—81no—
774D4×C59H(5,𝔽2)12yes—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—42no—
784C2×C4×C59—81no—
785C2×C4×C59—81no—
786C2×C4×C59—81no—
787C2×C4×C59C22×D411yescharacteristic
788C2×C4×C59C22×D411yescharacteristic
789C2×C4×C59C22×D411yescharacteristic
790C2×C4×C59C22×D411yescharacteristic
791C2×C4×C59C2511yescharacteristic
792C22⋊D59—24no—
793C22⋊D59—22no—
794C22⋊D59—41no—
795C22⋊D59—41no—
796C22⋊D59—41no—
797C22⋊D59—42no—
798C22⋊D59—42no—
799C22⋊D59—42no—
800C22⋊D59—42no—
801C22⋊D59—42no—
802C22⋊D59—42no—
803C22⋊D59—81no—
804C22⋊D59—81no—
805C22⋊D59—81no—
806C22⋊D59—81no—
807C22⋊D59—81no—
808C2×Dic59—24no—
809C2×Dic59—21no—
810C2×Dic59—21no—
811C2×Dic59—21no—
812C2×Dic59—21no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—41no—
818C2×Dic59—42no—
819C2×Dic59—42no—
820C2×Dic59—42no—
821C2×Dic59—42no—
822C2×Dic59—42no—
823C2×Dic59—42no—
824C2×Dic59—81no—
825C2×Dic59—81no—
826C2×Dic59—81no—
827C2×Dic59—81no—
828C2×Dic59—81no—
829C2×Dic59C22×D411yescharacteristic
830C2×Dic59C22×D411yescharacteristic
831C2×Dic59C22×D411yescharacteristic
832C2×Dic59C22×D411yescharacteristic
833C2×Dic59C22×D411yescharacteristic
834D236—41no—
835D236—41no—
836C4×D59—21no—
837C4×D59—21no—
838C4×D59—21no—
839C4×D59—21no—
840C4×D59—21no—
841C4×D59—21no—
842C4×D59—41no—
843C4×D59—41no—
844C4×D59—42no—
845C4×D59—42no—
846C4×D59—42no—
847C4×D59—81no—
848C4×D59—81no—
849C4×D59—81no—
850Dic118—21no—
851Dic118—21no—
852Dic118—21no—
853Dic118—21no—
854Dic118—21no—
855Dic118—21no—
856Dic118—21no—
857Dic118—41no—
858Dic118—42no—
859Dic118—42no—
860Dic118—42no—
861Dic118—42no—
862Dic118—81no—
863Dic118—81no—
864Dic118—81no—
865Dic118H(5,𝔽2)12yes—
866C8×C59—21no—
867C8×C59—21no—
868C8×C59—21no—
869C8×C59—21no—
870C59⋊C8—21no—
871C59⋊C8—21no—
872C59⋊C8—21no—
873C59⋊C8—21no—
874#61619—591nomaximal, Sylow
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—21no—
878C22×C59—22no—
879C22×C59—21no—
880C22×C59—21no—
881C22×C59—41no—
882C22×C59—41no—
883C22×C59—41no—
884C22×C59—41no—
885C22×C59—41no—
886C22×C59—41no—
887C22×C59—41no—
888C22×C59—41no—
889C22×C59—41no—
890C22×C59—41no—
891C22×C59—41no—
892C22×C59—84no—
893C22×C59—162no—
894C22×C59#57812yes—
895C22×C59C23×D411yescharacteristic
896C2×D59—21no—
897C2×D59—21no—
898C2×D59—21no—
899C2×D59—21no—
900C2×D59—21no—
901C2×D59—21no—
902C2×D59—21no—
903C2×D59—21no—
904C2×D59—21no—
905C2×D59—82no—
906C4×C59—21no—
907C4×C59—21no—
908C4×C59—21no—
909C4×C59—21no—
910C4×C59—41no—
911C4×C59—41no—
912C4×C59—41no—
913C4×C59—41no—
914C4×C59C2×H(5,𝔽2)11yescharacteristic
915C4×C59C2×H(5,𝔽2)11yescharacteristic
916Dic59—21no—
917Dic59—22no—
918Dic59—21no—
919Dic59—21no—
920Dic59—21no—
921Dic59—21no—
922Dic59—41no—
923Dic59—41no—
924Dic59—41no—
925Dic59—41no—
926Dic59—41no—
927Dic59—41no—
928Dic59—41no—
929#3536—591no—
930#3489—591no—
931#3330—591no—
932#3330—591no—
933#3314—591no—
934#3314—591no—
935#3308—591no—
936#3308—591no—
937#3299—591no—
938#3299—591no—
939#3280—591no—
940#3280D5911yescharacteristic, complemented
941#3277—591no—
942#3277—591no—
943#3269—591no—
944#3269—591no—
945#3266—591no—
946#3266—591no—
947#3225—591no—
948#3225—591no—
949#3203—591no—
950#3203—591no—
951#3193—591no—
952#3189—591no—
953#3124—591no—
954#3124—591no—
955#3013—591no—
956#3013—591no—
957#3007—591no—
958C2×#449—591no—
959#2976—591no—
960C2×C59—22no—
961C2×C59—41no—
962C2×C59—42no—
963C2×C59—81no—
964C2×C59—81no—
965C2×C59—81no—
966C2×C59#348411yescharacteristic
967C2×C59C2×#57811yescharacteristic
968C2×C59#358511yescharacteristic
969D59—41no—
970D59—41no—
971D59—41no—
972C2×2−1+4—591no—
973C22×#41—591no—
974C2×#137—591no—
975C2×#137—591no—
976C2×#137—591no—
977C2×#137—591no—
978C2×#135—591no—
979C2×#135C2×D5911yescharacteristic, complemented
980C22×SD16—591no—
981C22×D8C2×D5911yescharacteristic
982#562—1181no—
983#562—1181no—
984#554—591no—
985#554—591no—
986D4×Q8—591no—
987D4×Q8—591no—
988#548—591no—
989#548—591no—
990#548—591no—
991#548—591no—
992#547—591no—
993#547—591no—
994#547—591no—
995#547—591no—
996#547—1181no—
997#547—1181no—
998#546—591no—
999#546—591no—
1000#546—1181no—
1001#546—1181no—
1002#546—1181no—
1003#546—1181no—
1004#546C2×D5911yescharacteristic
1005#546C2×D5911yescharacteristic
1006#543—1181no—
1007#542—591no—
1008#542—591no—
1009#539—1181no—
1010#538—1181no—
1011#537—591no—
1012#537—591no—
1013#537—591no—
1014#537—1181no—
1015#537—1181no—
1016#536—591no—
1017#536—1181no—
1018#525—591no—
1019#525—1181no—
1020C2×C22⋊Q8—591no—
1021C2×C22⋊Q8—591no—
1022C2×C22⋊Q8—1181no—
1023C2×#121—591no—
1024#520—591no—
1025#497—591no—
1026#497—591no—
1027#495—591no—
1028#495C2×D5911yescharacteristic, complemented
1029#489—591no—
1030#489—591no—
1031#487—591no—
1032#487—591no—
1033#484—591no—
1034#484—591no—
1035#484—591no—
1036#484—591no—
1037#484—591no—
1038#484—591no—
1039#484—591no—
1040#484—591no—
1041#480—591no—
1042#480—591no—
1043#480—591no—
1044#480—591no—
1045#477—591no—
1046#477—591no—
1047#474—591no—
1048#474—591no—
1049#468—591no—
1050#468—591no—
1051#468—591no—
1052#468—591no—
1053#468—591no—
1054#468—591no—
1055#468—591no—
1056#468—591no—
1057#467—591no—
1058#467—591no—
1059#467—591no—
1060#467—591no—
1061#467—591no—
1062#467C2×D5911yescharacteristic
1063#466—591no—
1064#466C2×D5911yescharacteristic, complemented
1065#464—591no—
1066#464—591no—
1067#464—591no—
1068#464—591no—
1069#463—591no—
1070#463—591no—
1071#463C2×D5911yescharacteristic, complemented
1072#463C2×D5911yescharacteristic, complemented
1073#462—591no—
1074#462—591no—
1075#461—591no—
1076#461—591no—
1077#452—591no—
1078#452—591no—
1079#452—591no—
1080#452—591no—
1081#452—591no—
1082#452—591no—
1083#452—591no—
1084#452—591no—
1085#451—591no—
1086#451—591no—
1087#451—591no—
1088#451—591no—
1089#451—591no—
1090#451—591no—
1091#451—591no—
1092#451—591no—
1093#450—591no—
1094#450—591no—
1095#450C2×D5911yescharacteristic
1096#450C2×D5911yescharacteristic
1097#449—591no—
1098#449—591no—
1099#449—591no—
1100#449—591no—
1101#449—591no—
1102#449—591no—
1103#449—591no—
1104#449—591no—
1105#449—591no—
1106#449—591no—
1107#449C2×D5911yescharacteristic, complemented
1108#449C2×D5911yescharacteristic, complemented
1109#448—591no—
1110#448—591no—
1111#448—591no—
1112#448—591no—
1113#440—591no—
1114#440—591no—
1115#440—591no—
1116#440—591no—
1117C4×Q16—591no—
1118C4×Q16—591no—
1119C4×D8—591no—
1120C4×D8C2×D5911yescharacteristic, complemented
1121#436—591no—
1122#436—591no—
1123#435—591no—
1124#435—591no—
1125#435—591no—
1126#435—591no—
1127C8×D4—591no—
1128C8×D4C2×D5911yescharacteristic
1129#433—591no—
1130#433—591no—
1131#417—591no—
1132#417—591no—
1133#417—591no—
1134#417—591no—
1135C2×#103—591no—
1136C2×#103—591no—
1137C2×#103—591no—
1138C2×#102—591no—
1139#408—591no—
1140#408—591no—
1141#407—591no—
1142C2×C22⋊C8—591no—
1143C59#6161911yescharacteristic, complemented, Sylow
11442−1+4—2362no—
11452−1+4—2362no—
1146C2×#41—591no—
1147C2×#41—591no—
1148C2×#41—591no—
1149C2×#41—591no—
1150C2×#41—591no—
1151C2×#41—591no—
1152C2×#41—591no—
1153C2×#41—1181no—
1154C2×#41—1181no—
1155C2×#41—1181no—
1156C2×#41—1181no—
1157C2×#41—1181no—
1158C2×#41—1181no—
1159C2×#41—1181no—
1160C2×#41—2362no—
1161C2×#41—2362no—
1162C2×#41C22×D5911yescharacteristic
1163C2×#41C22×D5911yescharacteristic
1164C22×Q8—591no—
1165C22×Q8—591no—
1166C22×Q8—591no—
1167C22×Q8—591no—
1168C22×Q8—591no—
1169C22×Q8—1181no—
1170C22×D4—1181no—
1171C22×D4—1181no—
1172C22×D4C22×D5911yescharacteristic
1173C22×D4C22×D5911yescharacteristic
1174C23×C4—591no—
1175C23×C4—1181no—
1176#137—2362no—
1177#137—2362no—
1178#137—2362no—
1179#137—2362no—
1180#135—42no—
1181#135—2362no—
1182C2×Q16—591no—
1183C2×Q16—591no—
1184C2×Q16—591no—
1185C2×Q16—591no—
1186C2×Q16—591no—
1187C2×Q16—591no—
1188C2×Q16—591no—
1189C2×Q16C22×D5911yescharacteristic
1190C2×SD16—591no—
1191C2×SD16—591no—
1192C2×SD16—591no—
1193C2×SD16—591no—
1194C2×SD16—591no—
1195C2×SD16—591no—
1196C2×SD16—591no—
1197C2×SD16—591no—
1198C2×SD16—2362no—
1199C2×SD16C22×D5911yescharacteristic
1200C2×SD16C22×D5911yescharacteristic
1201C2×SD16C22×D5911yescharacteristic
1202C2×SD16C22×D5911yescharacteristic
1203C2×D8—42no—
1204C2×D8C22×D5911yescharacteristic
1205C2×D8C22×D5911yescharacteristic
1206C2×D8C22×D5911yescharacteristic
1207C2×D8C22×D5911yescharacteristic
1208C2×M16—591no—
1209C2×M16—591no—
1210C2×M16—591no—
1211C2×M16—591no—
1212C22×C8—591no—
1213C22×C8—591no—
1214C22×C8C22×D5911yescharacteristic
1215C22×C8C22×D5911yescharacteristic
1216C4⋊Q8—591no—
1217C4⋊Q8—591no—
1218C4⋊Q8—591no—
1219C4⋊Q8—591no—
1220C4⋊Q8—1181no—
1221C4⋊Q8—1181no—
1222#126—1181no—
1223#126—1181no—
1224#125—1181no—
1225#125—1181no—
1226#124—591no—
1227#124—591no—
1228#124—1181no—
1229#124—1181no—
1230#124—1181no—
1231#124—1181no—
1232#124—1181no—
1233#124—1181no—
1234#124C22×D5911yescharacteristic
1235#124C22×D5911yescharacteristic
1236#123—21no—
1237#123—21no—
1238#123—591no—
1239#123—591no—
1240#123—1181no—
1241#123—1181no—
1242#123—1181no—
1243#123—1181no—
1244#123—1181no—
1245#123—1181no—
1246#123—1181no—
1247#123—1181no—
1248#123—1181no—
1249#123—1181no—
1250#123—1181no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254C22⋊Q8—591no—
1255C22⋊Q8—591no—
1256C22⋊Q8—591no—
1257C22⋊Q8—591no—
1258C22⋊Q8—591no—
1259C22⋊Q8—591no—
1260C22⋊Q8—591no—
1261C22⋊Q8—591no—
1262C22⋊Q8—591no—
1263C22⋊Q8—591no—
1264C22⋊Q8—591no—
1265C22⋊Q8—591no—
1266C22⋊Q8—1181no—
1267C22⋊Q8—1181no—
1268C22⋊Q8—1181no—
1269C22⋊Q8—1181no—
1270C22⋊Q8—1181no—
1271C22⋊Q8—1181no—
1272C22⋊Q8—1181no—
1273C22⋊Q8—1181no—
1274C22⋊Q8—1181no—
1275C22⋊Q8—1181no—
1276C22⋊Q8—1181no—
1277C22⋊Q8—1181no—
1278C22⋊Q8—1181no—
1279C22⋊Q8—1181no—
1280C22⋊Q8—1181no—
1281C22⋊Q8—1181no—
1282C22⋊Q8—1181no—
1283C22⋊Q8—1181no—
1284C22⋊Q8—1181no—
1285C22⋊Q8—1181no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8C22×D5911yescharacteristic
1292C22⋊Q8C22×D5911yescharacteristic
1293#121—21no—
1294#121—21no—
1295#121—591no—
1296#121—591no—
1297#121—591no—
1298#121—591no—
1299#121—591no—
1300#121—591no—
1301#121—591no—
1302#121—591no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121—1181no—
1307#121—1181no—
1308#121—1181no—
1309#121—1181no—
1310#121—1181no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121C22×D5911yescharacteristic
1323#121C22×D5911yescharacteristic
1324#120—21no—
1325#120—21no—
1326#120—591no—
1327#120—591no—
1328#120—1181no—
1329#120—1181no—
1330C4×Q8—591no—
1331C4×Q8—591no—
1332C4×Q8—591no—
1333C4×Q8—591no—
1334C4×D4—591no—
1335C4×D4—591no—
1336C4×D4—591no—
1337C4×D4—591no—
1338C4×D4—591no—
1339C4×D4—1181no—
1340C4×D4—1181no—
1341C4×D4—1181no—
1342C4×D4—1181no—
1343C4×D4—1181no—
1344C4×D4—1181no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347C4×D4—1181no—
1348C4×D4—1181no—
1349C4×D4C22×D5911yescharacteristic
1350C4×D4C22×D5911yescharacteristic
1351C4×D4C22×D5911yescharacteristic
1352#117—591no—
1353#117—1181no—
1354C2×C4⋊C4—591no—
1355C2×C4⋊C4—591no—
1356C2×C4⋊C4—591no—
1357C2×C4⋊C4—591no—
1358C2×C4⋊C4—591no—
1359C2×C4⋊C4—1181no—
1360C2×C4⋊C4—1181no—
1361C2×C4⋊C4—1181no—
1362C2×C4⋊C4—1181no—
1363C2×C4⋊C4—1181no—
1364C2×C22⋊C4—21no—
1365C2×C22⋊C4—21no—
1366C2×C22⋊C4—1181no—
1367C2×C22⋊C4—1181no—
1368C2×C22⋊C4—1181no—
1369C2×C22⋊C4—1181no—
1370C2×C22⋊C4—1181no—
1371#107—591no—
1372#107—591no—
1373#107—591no—
1374#107—591no—
1375#107—591no—
1376#107—591no—
1377#107—591no—
1378#107C22×D5911yescharacteristic
1379C4⋊C8—591no—
1380C4⋊C8—591no—
1381C4⋊C8—591no—
1382C4⋊C8C22×D5911yescharacteristic
1383#103—591no—
1384#103—591no—
1385#103—591no—
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#103—591no—
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103—591no—
1398#103—591no—
1399#103—591no—
1400#103—591no—
1401#103C22×D5911yescharacteristic
1402#103C22×D5911yescharacteristic
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102—591no—
1411#102C22×D5911yescharacteristic
1412#102C22×D5911yescharacteristic
1413#102C22×D5911yescharacteristic
1414#102C22×D5911yescharacteristic
1415C22⋊C8—591no—
1416C22⋊C8—591no—
1417C22⋊C8—591no—
1418C22⋊C8—591no—
1419C22⋊C8—591no—
1420C22⋊C8—591no—
1421C22⋊C8—591no—
1422C22⋊C8—591no—
1423C22⋊C8—591no—
1424C22⋊C8—591no—
1425C22⋊C8C22×D5911yescharacteristic
1426C22⋊C8C22×D5911yescharacteristic
1427#97—591no—
1428#97—591no—
1429C4×C8—591no—
1430C4×C8C22×D5911yescharacteristic
1431C24—21no—
1432C24—21no—
1433C24—591no—
1434#41—22no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—1182no—
1439#41—1182no—
1440#41—1182no—
1441#41—1182no—
1442#41—1182no—
1443#41—4722no—
1444#41—4722no—
1445#41—2361no—
1446#41—2361no—
1447#41—2364no—
1448#41—2361no—
1449#41—2361no—
1450#41—2361no—
1451#41—2361no—
1452#41—2361no—
1453#41—2361no—
1454#41—2361no—
1455#41—2364no—
1456#41—2364no—
1457#41—2364no—
1458#41—2364no—
1459C2×Q8—591no—
1460C2×Q8—591no—
1461C2×Q8—591no—
1462C2×Q8—591no—
1463C2×Q8—591no—
1464C2×Q8—1181no—
1465C2×Q8—1181no—
1466C2×Q8—1181no—
1467C2×Q8—1181no—
1468C2×Q8—1182no—
1469C2×Q8—1182no—
1470C2×Q8—1181no—
1471C2×Q8—1181no—
1472C2×Q8—1181no—
1473C2×Q8—1182no—
1474C2×Q8—2361no—
1475C2×Q8—2361no—
1476C2×Q8—2364no—
1477C2×Q8—2361no—
1478C2×Q8—2361no—
1479C2×Q8—2361no—
1480C2×Q8—2361no—
1481C2×Q8—2361no—
1482C2×Q8C23×D5911yescharacteristic
1483C2×Q8C23×D5911yescharacteristic
1484C2×D4—22no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—41no—
1492C2×D4—41no—
1493C2×D4—41no—
1494C2×D4—591no—
1495C2×D4—591no—
1496C2×D4—591no—
1497C2×D4—591no—
1498C2×D4—591no—
1499C2×D4—591no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1181no—
1512C2×D4—4722no—
1513C2×D4—2364no—
1514C2×D4D4×D5911yescharacteristic
1515C2×D4C23×D5911yescharacteristic
1516C2×D4C23×D5911yescharacteristic
1517C2×D4C23×D5911yescharacteristic
1518C2×D4C23×D5911yescharacteristic
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—591no—
1524C22×C4—591no—
1525C22×C4—591no—
1526C22×C4—591no—
1527C22×C4—591no—
1528C22×C4—591no—
1529C22×C4—1181no—
1530C22×C4—1181no—
1531C22×C4—1181no—
1532C22×C4—1181no—
1533C22×C4—1181no—
1534C22×C4—1181no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—1181no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—2361no—
1548C22×C4—2361no—
1549C22×C4—2364no—
1550C22×C4C23×D5911yescharacteristic
1551C22×C4C23×D5911yescharacteristic
1552Q16—41no—
1553Q16—1182no—
1554Q16—1182no—
1555Q16—2361no—
1556Q16—2361no—
1557Q16—2361no—
1558Q16—2361no—
1559Q16—2361no—
1560SD16—22no—
1561SD16—41no—
1562SD16—41no—
1563SD16—41no—
1564SD16—1182no—
1565SD16—1182no—
1566SD16—1182no—
1567SD16—2361no—
1568SD16—2361no—
1569SD16—2361no—
1570SD16—2361no—
1571SD16—2361no—
1572D8—22no—
1573D8—22no—
1574D8—41no—
1575D8—41no—
1576M16—2361no—
1577M16—2361no—
1578M16—2361no—
1579M16—2361no—
1580C2×C8—41no—
1581C2×C8—41no—
1582C2×C8—591no—
1583C2×C8—591no—
1584C2×C8—591no—
1585C2×C8—591no—
1586C2×C8—2361no—
1587C2×C8—2361no—
1588C2×C8C23×D5911yescharacteristic
1589C2×C8C23×D5911yescharacteristic
1590C2×C8C23×D5911yescharacteristic
1591C2×C8C23×D5911yescharacteristic
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—591no—
1595C4⋊C4—591no—
1596C4⋊C4—591no—
1597C4⋊C4—591no—
1598C4⋊C4—591no—
1599C4⋊C4—591no—
1600C4⋊C4—591no—
1601C4⋊C4—591no—
1602C4⋊C4—591no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4—1181no—
1613C4⋊C4—1181no—
1614C4⋊C4—1181no—
1615C4⋊C4—1181no—
1616C4⋊C4—1181no—
1617C4⋊C4—1181no—
1618C4⋊C4—1181no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4—1181no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4D4×D5911yescharacteristic
1629C4⋊C4C23×D5911yescharacteristic
1630C4⋊C4C23×D5911yescharacteristic
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—591no—
1642C22⋊C4—591no—
1643C22⋊C4—591no—
1644C22⋊C4—591no—
1645C22⋊C4—591no—
1646C22⋊C4—591no—
1647C22⋊C4—591no—
1648C22⋊C4—591no—
1649C22⋊C4—1181no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4D4×D5911yescharacteristic
1672C22⋊C4D4×D5911yescharacteristic
1673C42—591no—
1674C42—1181no—
1675C42—1181no—
1676C42—1181no—
1677C42—1181no—
1678C42C23×D5911yescharacteristic
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—42no—
1684C23—42no—
1685C23—42no—
1686C23—81no—
1687C23—81no—
1688C23—81no—
1689C23—591no—
1690C23—591no—
1691C23—591no—
1692C23—1182no—
1693C23—2361no—
1694C23—2361no—
1695C23C2×D4×D5911yescharacteristic
1696C23C2×D4×D5911yescharacteristic
1697Q8—21no—
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—592no—
1702Q8—1181no—
1703Q8—1181no—
1704Q8—1181no—
1705Q8—1181no—
1706Q8—1181no—
1707Q8—1181no—
1708Q8—1181no—
1709Q8—4721no—
1710Q8—4721no—
1711Q8—4721no—
1712Q8—2361no—
1713Q8—2362no—
1714Q8—2362no—
1715Q8—2362no—
1716Q8—2362no—
1717D4—22no—
1718D4—21no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—21no—
1725D4—42no—
1726D4—42no—
1727D4—81no—
1728D4—81no—
1729D4—81no—
1730D4—81no—
1731D4—1184no—
1732D4—1182no—
1733D4—4721no—
1734D4—4721no—
1735D4—4721no—
1736D4—4721no—
1737D4—4721no—
1738D4—2361no—
1739D4—2361no—
1740D4—2361no—
1741D4—2361no—
1742D4—2361no—
1743D4—2362no—
1744D4—2362no—
1745D4—2362no—
1746D4—2362no—
1747D4—2362no—
1748D4—2362no—
1749D4#1427377212yes—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—42no—
1759C2×C4—81no—
1760C2×C4—81no—
1761C2×C4—81no—
1762C2×C4—591no—
1763C2×C4—591no—
1764C2×C4—591no—
1765C2×C4—591no—
1766C2×C4—591no—
1767C2×C4—1184no—
1768C2×C4—1181no—
1769C2×C4—1181no—
1770C2×C4—1181no—
1771C2×C4—1181no—
1772C2×C4—1181no—
1773C2×C4—1181no—
1774C2×C4—1181no—
1775C2×C4—1181no—
1776C2×C4—1181no—
1777C2×C4—1181no—
1778C2×C4—1181no—
1779C2×C4—1181no—
1780C2×C4—1181no—
1781C2×C4—1181no—
1782C2×C4—4721no—
1783C2×C4—4721no—
1784C2×C4—4721no—
1785C2×C4—4721no—
1786C2×C4—4721no—
1787C2×C4—4721no—
1788C2×C4—4721no—
1789C2×C4—4721no—
1790C2×C4—2361no—
1791C2×C4—2361no—
1792C2×C4—2362no—
1793C2×C4—2362no—
1794C2×C4—2362no—
1795C2×C4—2361no—
1796C2×C4—2362no—
1797C2×C4—2362no—
1798C2×C4—2362no—
1799C2×C4—2362no—
1800C2×C4—2362no—
1801C2×C4—2362no—
1802C2×C4C2×D4×D5911yescharacteristic
1803C2×C4C2×D4×D5911yescharacteristic
1804C2×C4C2×D4×D5911yescharacteristic
1805C2×C4C2×D4×D5911yescharacteristic
1806C2×C4C24×D5911yescharacteristic
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—1181no—
1812C8—1181no—
1813C8—1181no—
1814C8—1181no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—22no—
1819C22—21no—
1820C22—21no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—84no—
1833C22—162no—
1834C22—1181no—
1835C22—1181no—
1836C22—1181no—
1837C22—1181no—
1838C22—1181no—
1839C22—1181no—
1840C22—1181no—
1841C22—1181no—
1842C22—1181no—
1843C22—4722no—
1844C22#1683821612yes—
1845C22C22×D4×D5911yescharacteristic
1846C4—21no—
1847C4—21no—
1848C4—21no—
1849C4—21no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—1181no—
1855C4—1181no—
1856C4—1181no—
1857C4—1182no—
1858C4—1181no—
1859C4—1181no—
1860C4—2361no—
1861C4—2361no—
1862C4—2361no—
1863C4—2361no—
1864C4—2361no—
1865C4—2361no—
1866C4—2361no—
1867C4H(5,𝔽2)×D5911yescharacteristic
1868C4C2×#1427377211yescharacteristic
1869C2—22no—
1870C2—41no—
1871C2—42no—
1872C2—81no—
1873C2—81no—
1874C2—81no—
1875C2—2361no—
1876C2—2361no—
1877C2—2361no—
1878C2#2143772411yescharacteristic
1879C2C2×#1683821611yescharacteristic
1880C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3280C2
socleC22×C59C23×D4
hypercenter#3280D59
hypocenterC59#61619
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3280

Complements

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

NH ≅ G/Ntype
1. #21438316C2semidirect
2. #21437767C2semidirect
3. #21436403C2semidirect
4. #21436394C2semidirect
5. #21436181C2semidirect
6. #21436177C2semidirect
7. #21436094C2semidirect
8. #21436093C2semidirect
9. #21435973C2semidirect
10. #21435967C2semidirect
11. #21435781C2semidirect
12. #21435751C2semidirect
13. #21435746C2semidirect
14. #21435657C2semidirect
15. #21435651C2semidirect
16. #21435610C2semidirect
17. #21435602C2semidirect
18. #21435202C2semidirect
19. #21435198C2semidirect
20. #21434995C2semidirect
21. #21434992C2semidirect
22. #21434899C2semidirect
23. #21434867C2semidirect
24. #21434355C2semidirect
25. #21434354C2semidirect
26. #21433409C2semidirect
27. #21433407C2semidirect
28. #21433351C2semidirect
29. C2×#16837544C2semidirect
30. #21433138C2semidirect
31. C59×#3280C2semidirect
32. C2×#14273774C22semidirect
34. C2×#14273757C22semidirect
35. C2×#14273756C22semidirect
36. C2×#14273756C22semidirect
37. C2×#14273756C22semidirect
38. C2×#14273746C22semidirect
46. #16838060C22semidirect
47. #16838060C22semidirect
48. #16838059C22semidirect
49. #16838058C22semidirect
50. #16838057C22semidirect
51. #16838056C22semidirect
53. #16838052C22semidirect
54. #16838051C22semidirect
63. #16838021C22semidirect
64. #16838017C22semidirect
68. #16837981C22semidirect
69. #16837981C22semidirect
70. #16837980C22semidirect
73. #16837972C22semidirect
80. #16837881C22semidirect
81. #16837797C22semidirect
82. #16837793C22semidirect
83. #16837785C22semidirect
84. #16837761C22semidirect
85. #16837760C22semidirect
86. #16837753C22semidirect
87. #16837751C22semidirect
88. #16837739C22semidirect
89. #16837739C22semidirect
90. #16837739C22semidirect
92. #16837738C22semidirect
93. #16837736C22semidirect
94. #16837736C22semidirect
96. #16837714C22semidirect
97. #16837714C22semidirect
98. #16837714C22semidirect
99. #16837713C22semidirect
100. #16837698C22semidirect
101. #16837696C22semidirect
102. #16837682C22semidirect
103. #16837680C22semidirect
104. #16837647C22semidirect
105. #16837647C22semidirect
106. #16837647C22semidirect
107. #16837646C22semidirect
108. #16837646C22semidirect
109. #16837645C22semidirect
110. #16837645C22semidirect
111. #16837645C22semidirect
113. #16837643C22semidirect
114. #16837642C22semidirect
117. #16837635C22semidirect
118. #16837623C22semidirect
119. #16837622C22semidirect
120. #16837621C22semidirect
121. #16837621C22semidirect
122. #16837615C22semidirect
123. #16837615C22semidirect
124. #16837613C22semidirect
125. #16837610C22semidirect
126. #16837607C22semidirect
127. #16837605C22semidirect
128. #16837565C22semidirect
129. #16837565C22semidirect
130. #16837565C22semidirect
131. #16837564C22semidirect
132. #16837564C22semidirect
133. #16837561C22semidirect
134. #16837561C22semidirect
135. #16837561C22semidirect
137. #16837560C22semidirect
138. #16837559C22semidirect
139. #16837559C22semidirect
141. #16837556C22semidirect
142. #16837556C22semidirect
143. #16837556C22semidirect
154. #16837544C22semidirect
155. #16837544C22semidirect
156. #16837540C22semidirect
157. #16837539C22semidirect
158. #16837539C22semidirect
159. #16837539C22semidirect
160. #16837503C22semidirect
161. #16837502C22semidirect
162. #16837502C22semidirect
163. #16837499C22semidirect
164. C4×Dic236C22semidirect
165. #16837494C22semidirect
166. D8×Dic59C22semidirect
167. #16837481C22semidirect
168. #16837477C22semidirect
170. #16837473C22semidirect
171. #16837472C22semidirect
174. #16837462C22semidirect
175. #16837461C22semidirect
176. #16837403C22semidirect
177. #16837400C22semidirect
178. #16837400C22semidirect
179. #16837400C22semidirect
181. C2×#14273652C22semidirect
182. #103×D59C22semidirect
184. #16837368C22semidirect
185. #16837367C22semidirect
188. C2×#135×C59C22semidirect
192. C59×#495C22semidirect
194. C59×#466C22semidirect
195. C59×#463C22semidirect
196. C59×#463C22semidirect
199. C59×#449C22semidirect
200. C59×#449C22semidirect
201. C4×D8×C59C22semidirect
940. #3280D59semidirect
979. C2×#135C2×D59semidirect
1028. #495C2×D59semidirect
1064. #466C2×D59semidirect
1071. #463C2×D59semidirect
1072. #463C2×D59semidirect
1107. #449C2×D59semidirect
1108. #449C2×D59semidirect
1120. C4×D8C2×D59semidirect
1143. C59#61619semidirect

Maximal subgroups

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

subgroupindex
#214383162
#214377672
#214364032
#214363942
#214361812
#214361772
#214360942
#214360932
#214359732
#214359672
#214357812
#214357512
#214357462
#214356572
#214356512
#214356102
#214356022
#214352022
#214351982
#214349952
#214349922
#214348992
#214348672
#214343552
#214343542
#214334092
#214334072
#214333512
C2×#168375442
#214331382
C59×#32802
#6161959