Finite Group Databasebeta

← #29473955

Subgroups — #29473955

Order 15104.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437923C211yesmaximal, characteristic, complemented
2D4×#11745687C211yesmaximal, characteristic, complemented
3#21436355C211yesmaximal, characteristic, complemented
4#21436301C211yesmaximal, characteristic, complemented
5#21436149C211yesmaximal, characteristic, complemented
6#21436117C211yesmaximal, characteristic, complemented
7#21436109C211yesmaximal, characteristic, complemented
8#21436077C211yesmaximal, characteristic, complemented
9#21435989C211yesmaximal, characteristic, complemented
10#21435935C211yesmaximal, characteristic, complemented
11#21435807C211yesmaximal, characteristic, complemented
12#21435781C211yesmaximal, characteristic, complemented
13#21435746C211yesmaximal, characteristic, complemented
14#21435727C211yesmaximal, characteristic, complemented
15#21435680C211yesmaximal, characteristic, complemented
16#21435657C211yesmaximal, characteristic, complemented
17#21435602C211yesmaximal, characteristic, complemented
18#21435128C211yesmaximal, characteristic, complemented
19#21435070C211yesmaximal, characteristic, complemented
20#21434932C211yesmaximal, characteristic, complemented
21#21434907C211yesmaximal, characteristic, complemented
22#21434886C211yesmaximal, characteristic, complemented
23#21434872C211yesmaximal, characteristic, complemented
24#21434201C211yesmaximal, characteristic, complemented
25#21434111C211yesmaximal, characteristic, complemented
26#21433351C211yesmaximal, characteristic, complemented
27#21433335C211yesmaximal, characteristic, complemented
28#21433309C211yesmaximal, characteristic, complemented
29C2×#16837544C211yesmaximal, characteristic, complemented
30#21433126C211yesmaximal, characteristic, complemented
31C59×#3264C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C22×#11745687C2211yescharacteristic, complemented
34C2×#14273757C2211yescharacteristic, complemented
35C2×#14273756C2211yescharacteristic, complemented
36C2×#14273756C2211yescharacteristic, complemented
37C2×#14273746C2211yescharacteristic, complemented
38C2×#14273746C2211yescharacteristic, complemented
39C22×#11745670C2211yescharacteristic, complemented
40#16838102C2211yescharacteristic, complemented
41#16838099—21no—
42#16838099C2211yescharacteristic, complemented
43#16838097—21no—
44#16838094C2211yescharacteristic, complemented
45#16838092C2211yescharacteristic
46#16838083—21no—
47#16838078—21no—
48#16838072C2211yescharacteristic, complemented
49D4×Dic118C2211yescharacteristic
50#16838060C2211yescharacteristic, complemented
51#16838059C2211yescharacteristic, complemented
52#16838058C2211yescharacteristic
53#16838058C2211yescharacteristic, complemented
54#16838056C2211yescharacteristic, complemented
55#16838052—21no—
56#16838046C2211yescharacteristic
57#16838046C2211yescharacteristic, complemented
58#16838046C2211yescharacteristic, complemented
59#16838039—21no—
60#16838039—21no—
61D4×C22⋊D59—21no—
62#16837995—21no—
63#16837984—21no—
64#16837962—21no—
65#16837950C2211yescharacteristic, complemented
66#16837947—21no—
67#16837934C2211yescharacteristic, complemented
68#16837931C2211yescharacteristic, complemented
69#16837912C2211yescharacteristic
70#16837912C2211yescharacteristic, complemented
71#16837912C2211yescharacteristic, complemented
72#16837909C2211yescharacteristic, complemented
73#16837908—21no—
74#16837908—21no—
75C22⋊Q8×D59C2211yescharacteristic, complemented
76C2×#14273698C2211yescharacteristic, complemented
77#16837875—21no—
78C4×#11745687C2211yescharacteristic, complemented
79C2×D4×Dic59—21no—
80C4×D4×D59C2211yescharacteristic
81#16837797C2211yescharacteristic, complemented
82#16837785C2211yescharacteristic, complemented
83#16837785C2211yescharacteristic, complemented
84#16837771C2211yescharacteristic, complemented
85#16837766C2211yescharacteristic, complemented
86#16837755C2211yescharacteristic, complemented
87#16837755C2211yescharacteristic, complemented
88#16837746C2211yescharacteristic, complemented
89#16837746C2211yescharacteristic, complemented
90#16837744C2211yescharacteristic, complemented
91#16837742C2211yescharacteristic, complemented
92#16837734C2211yescharacteristic, complemented
93#16837733C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837725C2211yescharacteristic, complemented
96#16837725C2211yescharacteristic, complemented
97#16837723C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837713C2211yescharacteristic, complemented
100#16837712C2211yescharacteristic, complemented
101#16837710C2211yescharacteristic, complemented
102#16837704C2211yescharacteristic, complemented
103#16837702C2211yescharacteristic, complemented
104#16837660C2211yescharacteristic, complemented
105#16837652C2211yescharacteristic, complemented
106#16837652C2211yescharacteristic, complemented
107#16837647C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837646C2211yescharacteristic, complemented
111#16837643C2211yescharacteristic, complemented
112#16837642C2211yescharacteristic, complemented
113#16837641C2211yescharacteristic, complemented
114#16837635C2211yescharacteristic, complemented
115#16837630C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837623C2211yescharacteristic, complemented
119#16837622C2211yescharacteristic, complemented
120#16837622C2211yescharacteristic, complemented
121#16837621C2211yescharacteristic, complemented
122#16837615C2211yescharacteristic, complemented
123#16837615C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic, complemented
125#16837613C2211yescharacteristic, complemented
126#16837607C2211yescharacteristic, complemented
127#16837599C2211yescharacteristic, complemented
128#16837565C2211yescharacteristic, complemented
129#16837565C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837565C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837561C2211yescharacteristic, complemented
134#16837561C2211yescharacteristic, complemented
135#16837561C2211yescharacteristic, complemented
136#16837561C2211yescharacteristic, complemented
137#16837561C2211yescharacteristic, complemented
138#16837560C2211yescharacteristic, complemented
139#16837560C2211yescharacteristic, complemented
140#16837559C2211yescharacteristic, complemented
141#16837557C2211yescharacteristic, complemented
142#16837553C2211yescharacteristic, complemented
143#16837553C2211yescharacteristic, complemented
144#16837553C2211yescharacteristic, complemented
145#16837544C2211yescharacteristic
146#16837544C2211yescharacteristic
147#16837544C2211yescharacteristic, complemented
148#16837544C2211yescharacteristic, complemented
149#16837544C2211yescharacteristic, complemented
150#16837544C2211yescharacteristic, complemented
151#16837544C2211yescharacteristic, complemented
152#16837544C2211yescharacteristic, complemented
153#16837544C2211yescharacteristic, complemented
154#16837544C2211yescharacteristic, complemented
155#16837544C2211yescharacteristic, complemented
156#16837544C2211yescharacteristic, complemented
157#16837544C2211yescharacteristic, complemented
158#16837540C2211yescharacteristic, complemented
159#16837539C2211yescharacteristic, complemented
160#16837510C2211yescharacteristic, complemented
161#16837502C2211yescharacteristic, complemented
162#16837502C2211yescharacteristic, complemented
163#16837494C2211yescharacteristic, complemented
164#16837493C2211yescharacteristic, complemented
165SD16×Dic59C2211yescharacteristic, complemented
166D8×Dic59C2211yescharacteristic, complemented
167#16837478C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837474C2211yescharacteristic
171#16837472C2211yescharacteristic, complemented
172C8×C22⋊D59C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837457C2211yescharacteristic, complemented
175#16837454C2211yescharacteristic, complemented
176#16837412C2211yescharacteristic, complemented
177#16837407C2211yescharacteristic, complemented
178#16837400C2211yescharacteristic, complemented
179#16837400C2211yescharacteristic, complemented
180#16837395C2211yescharacteristic, complemented
181#16837395C2211yescharacteristic, complemented
182C2×#14273652C2211yescharacteristic, complemented
183C2×#14273648C2211yescharacteristic, complemented
184#16837365C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C22×D8×C59C2211yescharacteristic, complemented
190C59×#546C2211yescharacteristic
191D42×C59C2211yescharacteristic
192C59×#496C2211yescharacteristic, complemented
193C59×#469C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#447C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#442C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic
203C2×#11745687—21no—
204C2×#11745687—21no—
205C2×#11745687—21no—
206C2×#11745687—21no—
207C2×#11745687—42no—
208C2×#11745687—42no—
209C2×#11745687—42no—
210C2×#11745687—42no—
211C2×#11745687C2311yescharacteristic
212C2×#11745687C2311yescharacteristic
213C2×#11745687C2311yescharacteristic
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217C2×#11745687C2311yescharacteristic
218C2×#11745687C2311yescharacteristic
219C22×Dic118C2311yescharacteristic
220C22×Dic118C2311yescharacteristic
221C2×Q8×D59C2311yescharacteristic
222C22×C22⋊D59—21no—
223C22×C22⋊D59—21no—
224C22×C22⋊D59—21no—
225C2×D4×D59D411yescharacteristic
226C23×Dic59—21no—
227C23×Dic59—21no—
228C22×C4×D59C2311yescharacteristic
229C22×C4×D59C2311yescharacteristic
230#14273757—42no—
231#14273756—42no—
232#14273756—42no—
233#14273746—42no—
234#14273746—42no—
235C2×Dic236C2311yescharacteristic
236C2×Dic236C2311yescharacteristic
237C2×Dic236C2311yescharacteristic
238C2×#11745672C2311yescharacteristic
239C2×#11745672C2311yescharacteristic
240C2×#11745672C2311yescharacteristic
241C2×#11745670—42no—
242C2×#11745670C2311yescharacteristic
243C2×#11745670C2311yescharacteristic
244C2×#11745670C2311yescharacteristic
245C2×#11745670C2311yescharacteristic
246C2×#11745670C2311yescharacteristic
247C2×#11745670C2311yescharacteristic
248C2×#11745670C2311yescharacteristic
249C2×#11745670C2311yescharacteristic
250C2×#11745670C2311yescharacteristic
251C2×#11745664C2311yescharacteristic
252C2×#11745659C2311yescharacteristic
253C2×#11745659C2311yescharacteristic
254C22×C59⋊C8C2311yescharacteristic
255C2×C8×D59C2311yescharacteristic
256C2×C8×D59C2311yescharacteristic
257#14273727C2311yescharacteristic
258#14273726—21no—
259#14273723—21no—
260#14273722—21no—
261#14273720—21no—
262#14273720—21no—
263#14273720—21no—
264#14273720—21no—
265#14273720—21no—
266#14273719C2311yescharacteristic
267#14273718—21no—
268#14273718C2311yescharacteristic
269#14273717—21no—
270#14273714—21no—
271#14273714C2311yescharacteristic
272#14273714C2311yescharacteristic
273#14273714C2311yescharacteristic
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273711—21no—
278#14273711—21no—
279#14273711—21no—
280#14273710—21no—
281#14273709—21no—
282#14273709—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273708—21no—
287#14273708—21no—
288#14273708—21no—
289#14273708—21no—
290#14273708—21no—
291#14273708—21no—
292#14273707C2311yescharacteristic
293#14273707C2311yescharacteristic
294#14273707C2311yescharacteristic
295#14273706—21no—
296#14273706C2311yescharacteristic
297#14273706C2311yescharacteristic
298#14273706C2311yescharacteristic
299#14273706C2311yescharacteristic
300#14273705—21no—
301#14273704—21no—
302#14273704—21no—
303#14273704—21no—
304#14273704—21no—
305#14273704—21no—
306#14273704—21no—
307#14273703C2311yescharacteristic
308#14273703C2311yescharacteristic
309#14273701—21no—
310#14273700—21no—
311#14273700—21no—
312#14273699—21no—
313#14273699—21no—
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273698—21no—
320#14273698—21no—
321#14273698—21no—
322#14273698—21no—
323#14273698—21no—
324#14273698—21no—
325#14273698C2311yescharacteristic
326#14273698C2311yescharacteristic
327#14273698C2311yescharacteristic
328#14273698C2311yescharacteristic
329#14273698C2311yescharacteristic
330#14273698C2311yescharacteristic
331#14273698C2311yescharacteristic
332#14273696—21no—
333#14273696—21no—
334#14273696—21no—
335#14273695—21no—
336#14273695—21no—
337#14273695—21no—
338#14273695—21no—
339Q8×Dic59C2311yescharacteristic
340C4×Dic118C2311yescharacteristic
341C4×Dic118C2311yescharacteristic
342#14273692C2311yescharacteristic
343C4×D236C2311yescharacteristic
344D4×Dic59—21no—
345D4×Dic59—21no—
346D4×Dic59—21no—
347D4×Dic59—21no—
348D4×Dic59—21no—
349D4×Dic59—21no—
350D4×Dic59—21no—
351D4×Dic59—21no—
352D4×Dic59—21no—
353D4×Dic59D411yescharacteristic
354D4×Dic59C2311yescharacteristic
355D4×Dic59C2311yescharacteristic
356#14273689D411yescharacteristic
357C4×C22⋊D59—21no—
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59—21no—
362C4×C22⋊D59—21no—
363C4×C22⋊D59C2311yescharacteristic
364C4×C22⋊D59C2311yescharacteristic
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4—21no—
369(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4D411yescharacteristic
373(C22⋊D59)⋊C4D411yescharacteristic
374#14273686—21no—
375#14273686C2311yescharacteristic
376#14273685C2311yescharacteristic
377#14273685C2311yescharacteristic
378#14273683—21no—
379#14273683—21no—
380#14273683—21no—
381#14273683—21no—
382C2×C4⋊Dic59—21no—
383C2×C4⋊Dic59C2311yescharacteristic
384C4⋊C4×D59—21no—
385C4⋊C4×D59D411yescharacteristic
386C4⋊C4×D59C2311yescharacteristic
387C2×C22⋊Dic59—21no—
388C2×C22⋊Dic59—21no—
389C2×C22⋊Dic59—21no—
390C2×C22⋊Dic59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59D411yescharacteristic
393C22⋊C4×D59D411yescharacteristic
394C2×C4×Dic59—21no—
395C42×D59C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273659C2311yescharacteristic
401#14273659C2311yescharacteristic
402#14273658C2311yescharacteristic
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#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
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
443C8×Dic59C2311yescharacteristic
444C8×Dic59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C22×D4×C59—21no—
447C22×D4×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic
449C22×D4×C59C2311yescharacteristic
450AGL(1,ℤ/8)×C59—42no—
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×D8×C59—42no—
455C2×D8×C59C2311yescharacteristic
456C2×D8×C59C2311yescharacteristic
457C2×D8×C59C2311yescharacteristic
458C2×D8×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C2×D8×C59C2311yescharacteristic
461C2×M16×C59C2311yescharacteristic
462C22×C8×C59C2311yescharacteristic
463#127×C59C2311yescharacteristic
464#124×C59C2311yescharacteristic
465#123×C59—21no—
466C22⋊Q8×C59C2311yescharacteristic
467#121×C59—21no—
468#121×C59—21no—
469#121×C59C2311yescharacteristic
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic
472#120×C59—21no—
473#120×C59—21no—
474#120×C59—21no—
475C4×D4×C59C2311yescharacteristic
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C2×C22⋊C4×C59—21no—
479#106×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59—21no—
492C24×C59—21no—
493C23×D59C2×D411yescharacteristic
494C23×D59C2×D411yescharacteristic
495#41×C59—41no—
496#41×C59—41no—
497C2×Q8×C59C2411yescharacteristic
498C2×D4×C59—22no—
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—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—41no—
510C2×D4×C59—41no—
511C2×D4×C59—41no—
512C2×D4×C59—41no—
513C2×D4×C59—44no—
514C2×D4×C59C2×D411yescharacteristic
515C2×D4×C59C2411yescharacteristic
516C2×D4×C59C2411yescharacteristic
517C2×D4×C59C2411yescharacteristic
518C2×D4×C59C2411yescharacteristic
519C2×D4×C59C2411yescharacteristic
520C22×C4×C59—21no—
521C22×C4×C59—21no—
522C22×C4×C59—21no—
523C22×C4×C59C2411yescharacteristic
524C22×C4×C59C2411yescharacteristic
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—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—21no—
538C2×C22⋊D59—21no—
539C2×C22⋊D59—21no—
540C2×C22⋊D59—44no—
541C2×C22⋊D59—44no—
542C2×C22⋊D59—44no—
543C2×C22⋊D59C2×D411yescharacteristic
544C2×C22⋊D59C2×D411yescharacteristic
545C22×Dic59—21no—
546C22×Dic59—21no—
547C22×Dic59—21no—
548C22×Dic59—21no—
549C22×Dic59—21no—
550C22×Dic59—21no—
551C22×Dic59—21no—
552C22×Dic59—21no—
553C22×Dic59—21no—
554C22×Dic59—21no—
555C22×Dic59—21no—
556C22×Dic59—21no—
557C22×Dic59—21no—
558C22×Dic59—44no—
559C22×Dic59—44no—
560C22×Dic59C2×D411yescharacteristic
561C22×Dic59C2×D411yescharacteristic
562Q8×D59—41no—
563Q8×D59—41no—
564#11745687—22no—
565#11745687—22no—
566#11745687—22no—
567#11745687—22no—
568#11745687—22no—
569#11745687—22no—
570#11745687—41no—
571#11745687—41no—
572#11745687—41no—
573#11745687—41no—
574#11745687—41no—
575#11745687—41no—
576#11745687—41no—
577#11745687—41no—
578#11745687—41no—
579#11745687—41no—
580#11745687—44no—
581#11745687—44no—
582#11745687—44no—
583#11745687—44no—
584D4×D59—42no—
585C2×D236C2×D411yescharacteristic
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—41no—
589C2×C4×D59—41no—
590C2×C4×D59—41no—
591C2×C4×D59—41no—
592C2×C4×D59C2×D411yescharacteristic
593C2×C4×D59C2×D411yescharacteristic
594C2×C4×D59C2×D411yescharacteristic
595C2×C4×D59C2×D411yescharacteristic
596C2×C4×D59C2×D411yescharacteristic
597C2×C4×D59C2×D411yescharacteristic
598C2×C4×D59C2411yescharacteristic
599C2×C4×D59C2411yescharacteristic
600C2×C4×D59C2411yescharacteristic
601C2×Dic118—22no—
602C2×Dic118—22no—
603C2×Dic118—21no—
604C2×Dic118—21no—
605C2×Dic118—21no—
606C2×Dic118—41no—
607C2×Dic118—41no—
608C2×Dic118C2411yescharacteristic
609C2×Dic118C2411yescharacteristic
610C2×Dic118C2411yescharacteristic
611C2×Dic118C2411yescharacteristic
612SD16×C59—22no—
613SD16×C59—41no—
614SD16×C59—41no—
615D8×C59—22no—
616D8×C59—22no—
617D8×C59—41no—
618D8×C59—41no—
619D8×C59—41no—
620D8×C59—41no—
621M16×C59—41no—
622C2×C8×C59—41no—
623C2×C8×C59C2411yescharacteristic
624C2×C8×C59C2411yescharacteristic
625C2×C8×C59C2411yescharacteristic
626C2×C8×C59C2411yescharacteristic
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×C59C2×D411yescharacteristic
640C22⋊C4×C59C2×D411yescharacteristic
641C42×C59C2411yescharacteristic
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
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⋊Dic59—21no—
661C22⋊Dic59—21no—
662C22⋊Dic59C2×D411yescharacteristic
663C22⋊Dic59C2×D411yescharacteristic
664#11745672—22no—
665#11745672—41no—
666#11745672—41no—
667#11745670—22no—
668#11745670—22no—
669#11745670—22no—
670#11745670—41no—
671#11745670—41no—
672#11745670—41no—
673#11745670—41no—
674#11745670—41no—
675#11745670—41no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4C2×D411yescharacteristic
684(C2×D59)⋊C4C2×D411yescharacteristic
685(C2×D59)⋊C4C2×D411yescharacteristic
686(C2×D59)⋊C4C2×D411yescharacteristic
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⋊C4C2×D411yescharacteristic
714Dic59⋊C4C2×D411yescharacteristic
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59C2×D411yescharacteristic
723C4×Dic59C2×D411yescharacteristic
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—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59—21no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—42no—
744C23×C59—42no—
745C23×C59—42no—
746C23×C59—42no—
747C23×C59—42no—
748C23×C59—81no—
749C23×C59—81no—
750C23×C59—81no—
751C23×C59—81no—
752C23×C59C22×D411yescharacteristic
753C23×C59C22×D411yescharacteristic
754C22×D59—22no—
755C22×D59—41no—
756C22×D59—41no—
757C22×D59—41no—
758C22×D59—41no—
759C22×D59—41no—
760C22×D59C22×D411yescharacteristic
761C22×D59C22×D411yescharacteristic
762C22×D59C22×D411yescharacteristic
763Q8×C59—21no—
764Q8×C59—21no—
765D4×C59—22no—
766D4×C59—21no—
767D4×C59—21no—
768D4×C59—21no—
769D4×C59—21no—
770D4×C59—21no—
771D4×C59—21no—
772D4×C59—21no—
773D4×C59—21no—
774D4×C59—21no—
775D4×C59—42no—
776D4×C59—42no—
777D4×C59—42no—
778D4×C59—42no—
779D4×C59—42no—
780D4×C59—81no—
781D4×C59—81no—
782D4×C59—81no—
783D4×C59—81no—
784D4×C59H(5,𝔽2)12yes—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—42no—
793C2×C4×C59—81no—
794C2×C4×C59—81no—
795C2×C4×C59C22×D411yescharacteristic
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C22×D411yescharacteristic
798C2×C4×C59C22×D411yescharacteristic
799C2×C4×C59C2511yescharacteristic
800C22⋊D59—24no—
801C22⋊D59—22no—
802C22⋊D59—41no—
803C22⋊D59—42no—
804C22⋊D59—42no—
805C22⋊D59—42no—
806C22⋊D59—42no—
807C22⋊D59—42no—
808C22⋊D59—42no—
809C22⋊D59—42no—
810C22⋊D59—42no—
811C22⋊D59—42no—
812C22⋊D59—42no—
813C22⋊D59—81no—
814C22⋊D59—81no—
815C22⋊D59—81no—
816C22⋊D59—81no—
817C2×Dic59—24no—
818C2×Dic59—21no—
819C2×Dic59—21no—
820C2×Dic59—21no—
821C2×Dic59—21no—
822C2×Dic59—21no—
823C2×Dic59—21no—
824C2×Dic59—21no—
825C2×Dic59—21no—
826C2×Dic59—41no—
827C2×Dic59—41no—
828C2×Dic59—42no—
829C2×Dic59—42no—
830C2×Dic59—42no—
831C2×Dic59—42no—
832C2×Dic59—42no—
833C2×Dic59—42no—
834C2×Dic59—42no—
835C2×Dic59—42no—
836C2×Dic59—42no—
837C2×Dic59—81no—
838C2×Dic59—81no—
839C2×Dic59—81no—
840C2×Dic59C22×D411yescharacteristic
841C2×Dic59C22×D411yescharacteristic
842C2×Dic59C22×D411yescharacteristic
843C2×Dic59C22×D411yescharacteristic
844C2×Dic59C22×D411yescharacteristic
845D236—41no—
846C4×D59—21no—
847C4×D59—21no—
848C4×D59—21no—
849C4×D59—21no—
850C4×D59—21no—
851C4×D59—21no—
852C4×D59—41no—
853C4×D59—41no—
854C4×D59—41no—
855C4×D59—41no—
856C4×D59—41no—
857C4×D59—41no—
858C4×D59—81no—
859C4×D59—81no—
860Dic118—21no—
861Dic118—21no—
862Dic118—21no—
863Dic118—21no—
864Dic118—21no—
865Dic118—21no—
866Dic118—21no—
867Dic118—42no—
868Dic118—42no—
869Dic118—81no—
870Dic118H(5,𝔽2)12yes—
871C8×C59—21no—
872C8×C59—21no—
873C8×C59—21no—
874C8×C59—21no—
875C59⋊C8—21no—
876C59⋊C8—21no—
877C59⋊C8—21no—
878C59⋊C8—21no—
879#61597—591nomaximal, Sylow
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—22no—
884C22×C59—21no—
885C22×C59—21no—
886C22×C59—41no—
887C22×C59—41no—
888C22×C59—41no—
889C22×C59—41no—
890C22×C59—41no—
891C22×C59—41no—
892C22×C59—41no—
893C22×C59—41no—
894C22×C59—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59—41no—
898C22×C59—41no—
899C22×C59—41no—
900C22×C59—84no—
901C22×C59—84no—
902C22×C59—162no—
903C22×C59#57512yes—
904C22×C59C23×D411yescharacteristic
905C2×D59—21no—
906C2×D59—21no—
907C2×D59—21no—
908C2×D59—21no—
909C2×D59—21no—
910C2×D59—21no—
911C2×D59—21no—
912C2×D59—21no—
913C2×D59—21no—
914C2×D59—82no—
915C2×D59—82no—
916C4×C59—21no—
917C4×C59—21no—
918C4×C59—21no—
919C4×C59—21no—
920C4×C59—41no—
921C4×C59—41no—
922C4×C59—41no—
923C4×C59C2×H(5,𝔽2)11yescharacteristic
924C4×C59C2×H(5,𝔽2)11yescharacteristic
925Dic59—21no—
926Dic59—22no—
927Dic59—21no—
928Dic59—21no—
929Dic59—21no—
930Dic59—21no—
931Dic59—41no—
932Dic59—41no—
933Dic59—41no—
934Dic59—41no—
935Dic59—41no—
936Dic59—41no—
937Dic59—41no—
938#3505—591no—
939D4×#41—591no—
940#3326—591no—
941#3322—591no—
942#3312—591no—
943#3310—591no—
944#3309—591no—
945#3307—591no—
946#3300—591no—
947#3296—591no—
948#3282—591no—
949#3280—591no—
950#3277—591no—
951#3275—591no—
952#3271—591no—
953#3269—591no—
954#3266—591no—
955#3264D5911yescharacteristic, complemented
956#3219—591no—
957#3212—591no—
958#3197—591no—
959#3194—591no—
960#3191—591no—
961#3190—591no—
962#3111—591no—
963#3102—591no—
964#3007—591no—
965#3005—591no—
966#3002—591no—
967C2×#449—591no—
968#2974—591no—
969C2×C59—22no—
970C2×C59—41no—
971C2×C59—42no—
972C2×C59—81no—
973C2×C59—81no—
974C2×C59—81no—
975C2×C59—81no—
976C2×C59#348411yescharacteristic
977C2×C59C2×#57511yescharacteristic
978C2×C59#358411yescharacteristic
979D59—41no—
980D59—41no—
981D59—41no—
982C22×#41—591no—
983C22×#41—591no—
984C2×#137—591no—
985C2×#137—591no—
986C2×#137—591no—
987C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
988C2×#135—591no—
989C2×#135—591no—
990C22×SD16—591no—
991C22×D8C2×D5911yescharacteristic, complemented
992#553—591no—
993#553—591no—
994#553—1181no—
995#553—1181no—
996#552—591no—
997#552—591no—
998#551—1181no—
999#551—1181no—
1000#550—591no—
1001D4×Q8—591no—
1002#548—591no—
1003#548—591no—
1004#548—591no—
1005#548—591no—
1006#547—591no—
1007#547—1181no—
1008#546—591no—
1009#546—591no—
1010#546—591no—
1011#546—1181no—
1012#546—1181no—
1013#546C2×D5911yescharacteristic
1014D42—1181no—
1015D42C2×D5911yescharacteristic
1016#539—1181no—
1017#538—1181no—
1018#534—1181no—
1019#532—591no—
1020#532—1181no—
1021#529—591no—
1022#529—591no—
1023#525—591no—
1024#525—591no—
1025#525—591no—
1026#525—591no—
1027#525—1181no—
1028#525—1181no—
1029C2×C22⋊Q8—591no—
1030C2×#121—591no—
1031#518—1181no—
1032C4×#41—591no—
1033C2×C4×D4—591no—
1034C2×C4×D4—1181no—
1035#497—591no—
1036#496C2×D5911yescharacteristic, complemented
1037#495—591no—
1038#495—591no—
1039#491—591no—
1040#490—591no—
1041#488—591no—
1042#488—591no—
1043#485—591no—
1044#485—591no—
1045#485—591no—
1046#485—591no—
1047#483—591no—
1048#483—591no—
1049#482—591no—
1050#482—591no—
1051#482—591no—
1052#482—591no—
1053#480—591no—
1054#480—591no—
1055#479—591no—
1056#479—591no—
1057#478—591no—
1058#478—591no—
1059#470—591no—
1060#469—591no—
1061#469—591no—
1062#469C2×D5911yescharacteristic, complemented
1063#468—591no—
1064#468—591no—
1065#468—591no—
1066#468—591no—
1067#467—591no—
1068#467—591no—
1069#467—591no—
1070#466—591no—
1071#465—591no—
1072#465—591no—
1073#465—591no—
1074#465C2×D5911yescharacteristic, complemented
1075#464—591no—
1076#464—591no—
1077#464—591no—
1078#464—591no—
1079#463—591no—
1080#463—591no—
1081#463—591no—
1082#463C2×D5911yescharacteristic, complemented
1083#462—591no—
1084#461—591no—
1085#460—591no—
1086#459C2×D5911yescharacteristic, complemented
1087#452—591no—
1088#452—591no—
1089#452—591no—
1090#452—591no—
1091#452—591no—
1092#452—591no—
1093#452—591no—
1094#452—591no—
1095#452—591no—
1096#452—591no—
1097#451—591no—
1098#451—591no—
1099#451—591no—
1100#451—591no—
1101#450—591no—
1102#450—591no—
1103#450—591no—
1104#450C2×D5911yescharacteristic, complemented
1105#449—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#449—591no—
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#449—591no—
1116#449—591no—
1117#449—591no—
1118#449C2×D5911yescharacteristic, complemented
1119#448—591no—
1120#448—591no—
1121#447C2×D5911yescharacteristic, complemented
1122#447C2×D5911yescharacteristic, complemented
1123#442C2×D5911yescharacteristic, complemented
1124#441—591no—
1125#440—591no—
1126#440—591no—
1127C4×Q16—591no—
1128C4×SD16—591no—
1129C4×SD16—591no—
1130C4×D8—591no—
1131#436—591no—
1132#436—591no—
1133#435—591no—
1134#435—591no—
1135#435—591no—
1136#435C2×D5911yescharacteristic
1137C8×D4—591no—
1138C8×D4—591no—
1139#432—591no—
1140#431—591no—
1141#419—591no—
1142#418—591no—
1143#417—591no—
1144#417—591no—
1145#416—591no—
1146#416—591no—
1147C2×#103—591no—
1148C2×#102—591no—
1149#407—591no—
1150#407—591no—
1151C2×C22⋊C8—591no—
1152C2×C22⋊C8—591no—
1153C59#6159711yescharacteristic, complemented, Sylow
1154C2×#41—591no—
1155C2×#41—591no—
1156C2×#41—591no—
1157C2×#41—591no—
1158C2×#41—591no—
1159C2×#41—591no—
1160C2×#41—591no—
1161C2×#41—591no—
1162C2×#41—1181no—
1163C2×#41—1181no—
1164C2×#41—1181no—
1165C2×#41—1181no—
1166C2×#41—2362no—
1167C2×#41—2362no—
1168C2×#41—2362no—
1169C2×#41—2362no—
1170C2×#41C22×D5911yescharacteristic
1171C22×Q8—591no—
1172C22×Q8—591no—
1173C22×Q8—591no—
1174C22×D4—21no—
1175C22×D4—591no—
1176C22×D4—1181no—
1177C22×D4—1181no—
1178C22×D4—1181no—
1179C22×D4C22×D5911yescharacteristic
1180C22×D4C22×D5911yescharacteristic
1181C22×D4C22×D5911yescharacteristic
1182C23×C4—591no—
1183C23×C4—591no—
1184C23×C4—1181no—
1185C23×C4—1181no—
1186#137—2362no—
1187#137—2362no—
1188#137—2362no—
1189AGL(1,ℤ/8)—42no—
1190#135—2362no—
1191#135—2362no—
1192C2×Q16—591no—
1193C2×Q16—591no—
1194C2×Q16—591no—
1195C2×Q16—591no—
1196C2×Q16—591no—
1197C2×Q16—591no—
1198C2×SD16—591no—
1199C2×SD16—591no—
1200C2×SD16—591no—
1201C2×SD16—591no—
1202C2×SD16—591no—
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—2362no—
1208C2×SD16C22×D5911yescharacteristic
1209C2×SD16C22×D5911yescharacteristic
1210C2×SD16C22×D5911yescharacteristic
1211C2×D8—42no—
1212C2×D8C22×D5911yescharacteristic
1213C2×D8C22×D5911yescharacteristic
1214C2×D8C22×D5911yescharacteristic
1215C2×D8C22×D5911yescharacteristic
1216C2×D8C22×D5911yescharacteristic
1217C2×D8C22×D5911yescharacteristic
1218C2×M16—591no—
1219C2×M16—591no—
1220C2×M16—591no—
1221C2×M16C22×D5911yescharacteristic
1222C22×C8—591no—
1223C22×C8—591no—
1224C22×C8—591no—
1225C22×C8C22×D5911yescharacteristic
1226C4⋊Q8—591no—
1227C4⋊Q8—1181no—
1228#127—1181no—
1229#127C22×D5911yescharacteristic
1230#126—1181no—
1231#126—1181no—
1232#126—1181no—
1233#126—1181no—
1234#126—1181no—
1235#126—1181no—
1236#125—591no—
1237#125—591no—
1238#125—1181no—
1239#125—1181no—
1240#124—591no—
1241#124—591no—
1242#124—591no—
1243#124—1181no—
1244#124—1181no—
1245#124—1181no—
1246#124—1181no—
1247#124C22×D5911yescharacteristic
1248#123—21no—
1249#123—1181no—
1250#123—1181no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254#123—1181no—
1255#123—1181no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264C22⋊Q8—591no—
1265C22⋊Q8—591no—
1266C22⋊Q8—591no—
1267C22⋊Q8—591no—
1268C22⋊Q8—591no—
1269C22⋊Q8—591no—
1270C22⋊Q8—591no—
1271C22⋊Q8—591no—
1272C22⋊Q8—591no—
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⋊Q8C22×D5911yescharacteristic
1282#121—21no—
1283#121—21no—
1284#121—591no—
1285#121—591no—
1286#121—591no—
1287#121—591no—
1288#121—591no—
1289#121—591no—
1290#121—591no—
1291#121—1181no—
1292#121—1181no—
1293#121—1181no—
1294#121—1181no—
1295#121—1181no—
1296#121—1181no—
1297#121—1181no—
1298#121—1181no—
1299#121—1181no—
1300#121—1181no—
1301#121—1181no—
1302#121—1181no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121—1181no—
1307#121C22×D5911yescharacteristic
1308#121C22×D5911yescharacteristic
1309#121C22×D5911yescharacteristic
1310#120—21no—
1311#120—21no—
1312#120—21no—
1313#120—1181no—
1314#120—1181no—
1315#120—1181no—
1316#120—1181no—
1317#120—1181no—
1318#120—1181no—
1319#120—1181no—
1320C4×Q8—591no—
1321C4×Q8—591no—
1322C4×Q8—591no—
1323C4×Q8—591no—
1324C4×D4—591no—
1325C4×D4—591no—
1326C4×D4—591no—
1327C4×D4—591no—
1328C4×D4—591no—
1329C4×D4—591no—
1330C4×D4—591no—
1331C4×D4—591no—
1332C4×D4—591no—
1333C4×D4—1181no—
1334C4×D4—1181no—
1335C4×D4—1181no—
1336C4×D4—1181no—
1337C4×D4—1181no—
1338C4×D4—1181no—
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×D4—1181no—
1350C4×D4—1181no—
1351C4×D4—1181no—
1352C4×D4—1181no—
1353C4×D4—1181no—
1354C4×D4—1181no—
1355C4×D4C22×D5911yescharacteristic
1356C4×D4C22×D5911yescharacteristic
1357C4×D4C22×D5911yescharacteristic
1358#117—591no—
1359#117—591no—
1360#117—591no—
1361#117—1181no—
1362#117—1181no—
1363#117—1181no—
1364#117—1181no—
1365#117—1181no—
1366C2×C4⋊C4—591no—
1367C2×C4⋊C4—591no—
1368C2×C4⋊C4—591no—
1369C2×C4⋊C4—1181no—
1370C2×C4⋊C4—1181no—
1371C2×C22⋊C4—21no—
1372C2×C22⋊C4—591no—
1373C2×C22⋊C4—591no—
1374C2×C22⋊C4—1181no—
1375C2×C22⋊C4—1181no—
1376C2×C22⋊C4—1181no—
1377C2×C22⋊C4—1181no—
1378C2×C22⋊C4—1181no—
1379C2×C42—591no—
1380C2×C42—1181no—
1381#107—591no—
1382#107—591no—
1383#107—591no—
1384#107—591no—
1385#106—591no—
1386#106—591no—
1387#106—591no—
1388#106C22×D5911yescharacteristic
1389C4⋊C8—591no—
1390C4⋊C8—591no—
1391C4⋊C8—591no—
1392C4⋊C8C22×D5911yescharacteristic
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#103—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103—591no—
1406#103—591no—
1407#103—591no—
1408#103C22×D5911yescharacteristic
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415#102—591no—
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102—591no—
1420#102C22×D5911yescharacteristic
1421#102C22×D5911yescharacteristic
1422#102C22×D5911yescharacteristic
1423#102C22×D5911yescharacteristic
1424#102C22×D5911yescharacteristic
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8—591no—
1428C22⋊C8—591no—
1429C22⋊C8—591no—
1430C22⋊C8—591no—
1431C22⋊C8—591no—
1432C22⋊C8—591no—
1433C22⋊C8—591no—
1434C22⋊C8—591no—
1435C22⋊C8C22×D5911yescharacteristic
1436C22⋊C8C22×D5911yescharacteristic
1437#97—591no—
1438#97C22×D5911yescharacteristic
1439C4×C8—591no—
1440C4×C8—591no—
1441C24—21no—
1442C24—21no—
1443C24—21no—
1444C24—591no—
1445C24—591no—
1446#41—41no—
1447#41—41no—
1448#41—1182no—
1449#41—1182no—
1450#41—1182no—
1451#41—1182no—
1452#41—1182no—
1453#41—1182no—
1454#41—2361no—
1455#41—2361no—
1456#41—2361no—
1457#41—2361no—
1458#41—2361no—
1459#41—2361no—
1460#41—2361no—
1461#41—2361no—
1462#41—2361no—
1463#41—2361no—
1464#41—2364no—
1465#41—2364no—
1466#41—2364no—
1467#41—2364no—
1468C2×Q8—591no—
1469C2×Q8—591no—
1470C2×Q8—591no—
1471C2×Q8—591no—
1472C2×Q8—1181no—
1473C2×Q8—1182no—
1474C2×Q8—1182no—
1475C2×Q8—1181no—
1476C2×Q8—1181no—
1477C2×Q8—2361no—
1478C2×Q8—2361no—
1479C2×Q8—2361no—
1480C2×Q8—2361no—
1481C2×Q8C23×D5911yescharacteristic
1482C2×D4—22no—
1483C2×D4—22no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—41no—
1494C2×D4—41no—
1495C2×D4—41no—
1496C2×D4—41no—
1497C2×D4—44no—
1498C2×D4—591no—
1499C2×D4—591no—
1500C2×D4—591no—
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—1181no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—1181no—
1516C2×D4—2362no—
1517C2×D4—2364no—
1518C2×D4—2364no—
1519C2×D4—2364no—
1520C2×D4D4×D5911yescharacteristic
1521C2×D4C23×D5911yescharacteristic
1522C2×D4C23×D5911yescharacteristic
1523C2×D4C23×D5911yescharacteristic
1524C2×D4C23×D5911yescharacteristic
1525C2×D4C23×D5911yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—591no—
1530C22×C4—591no—
1531C22×C4—591no—
1532C22×C4—591no—
1533C22×C4—591no—
1534C22×C4—591no—
1535C22×C4—591no—
1536C22×C4—591no—
1537C22×C4—591no—
1538C22×C4—591no—
1539C22×C4—591no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—1181no—
1549C22×C4—1181no—
1550C22×C4—1181no—
1551C22×C4—1181no—
1552C22×C4—1181no—
1553C22×C4—1181no—
1554C22×C4—1181no—
1555C22×C4—2361no—
1556C22×C4—2361no—
1557C22×C4—2361no—
1558C22×C4—2361no—
1559C22×C4—2364no—
1560C22×C4—2364no—
1561C22×C4C23×D5911yescharacteristic
1562C22×C4C23×D5911yescharacteristic
1563Q16—1182no—
1564Q16—1182no—
1565Q16—2361no—
1566Q16—2361no—
1567Q16—2361no—
1568Q16—2361no—
1569SD16—22no—
1570SD16—41no—
1571SD16—41no—
1572SD16—1182no—
1573SD16—1182no—
1574SD16—1182no—
1575SD16—2361no—
1576SD16—2361no—
1577SD16—2361no—
1578SD16—2361no—
1579SD16—2361no—
1580SD16—2361no—
1581D8—22no—
1582D8—22no—
1583D8—41no—
1584D8—41no—
1585D8—41no—
1586D8—41no—
1587M16—41no—
1588M16—2361no—
1589M16—2361no—
1590M16—2361no—
1591C2×C8—41no—
1592C2×C8—591no—
1593C2×C8—591no—
1594C2×C8—591no—
1595C2×C8—591no—
1596C2×C8—2361no—
1597C2×C8—2361no—
1598C2×C8—2361no—
1599C2×C8C23×D5911yescharacteristic
1600C2×C8C23×D5911yescharacteristic
1601C2×C8C23×D5911yescharacteristic
1602C2×C8C23×D5911yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—591no—
1605C4⋊C4—591no—
1606C4⋊C4—591no—
1607C4⋊C4—591no—
1608C4⋊C4—591no—
1609C4⋊C4—591no—
1610C4⋊C4—591no—
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⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4D4×D5911yescharacteristic
1633C4⋊C4C23×D5911yescharacteristic
1634C4⋊C4C23×D5911yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
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⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4D4×D5911yescharacteristic
1677C22⋊C4D4×D5911yescharacteristic
1678C42—591no—
1679C42—591no—
1680C42—591no—
1681C42—1181no—
1682C42—1181no—
1683C42—1181no—
1684C42—1181no—
1685C42—1181no—
1686C42—1181no—
1687C42—1181no—
1688C42C23×D5911yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—42no—
1695C23—42no—
1696C23—42no—
1697C23—42no—
1698C23—42no—
1699C23—81no—
1700C23—81no—
1701C23—81no—
1702C23—81no—
1703C23—591no—
1704C23—591no—
1705C23—591no—
1706C23—1182no—
1707C23—2361no—
1708C23—2361no—
1709C23—2361no—
1710C23—2361no—
1711C23—2361no—
1712C23C2×D4×D5911yescharacteristic
1713C23C2×D4×D5911yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—592no—
1717Q8—1181no—
1718Q8—1181no—
1719Q8—1181no—
1720Q8—1181no—
1721Q8—1181no—
1722Q8—1181no—
1723Q8—1181no—
1724Q8—4721no—
1725Q8—2362no—
1726Q8—2362no—
1727D4—22no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—21no—
1737D4—42no—
1738D4—42no—
1739D4—42no—
1740D4—42no—
1741D4—42no—
1742D4—81no—
1743D4—81no—
1744D4—81no—
1745D4—81no—
1746D4—1184no—
1747D4—1182no—
1748D4—4721no—
1749D4—4721no—
1750D4—4721no—
1751D4—4721no—
1752D4—2361no—
1753D4—2361no—
1754D4—2362no—
1755D4—2362no—
1756D4—2362no—
1757D4—2362no—
1758D4—2362no—
1759D4—2362no—
1760D4—2362no—
1761D4—2362no—
1762D4—2362no—
1763D4—2362no—
1764D4#1427377212yes—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—42no—
1773C2×C4—81no—
1774C2×C4—81no—
1775C2×C4—591no—
1776C2×C4—591no—
1777C2×C4—591no—
1778C2×C4—591no—
1779C2×C4—591no—
1780C2×C4—1184no—
1781C2×C4—1181no—
1782C2×C4—1181no—
1783C2×C4—1181no—
1784C2×C4—1181no—
1785C2×C4—1181no—
1786C2×C4—1181no—
1787C2×C4—1181no—
1788C2×C4—1181no—
1789C2×C4—1181no—
1790C2×C4—1181no—
1791C2×C4—1181no—
1792C2×C4—1181no—
1793C2×C4—1181no—
1794C2×C4—1181no—
1795C2×C4—4721no—
1796C2×C4—4721no—
1797C2×C4—4721no—
1798C2×C4—4721no—
1799C2×C4—4721no—
1800C2×C4—2361no—
1801C2×C4—2361no—
1802C2×C4—2361no—
1803C2×C4—2361no—
1804C2×C4—2361no—
1805C2×C4—2361no—
1806C2×C4—2361no—
1807C2×C4—2361no—
1808C2×C4—2362no—
1809C2×C4—2362no—
1810C2×C4—2362no—
1811C2×C4—2362no—
1812C2×C4—2362no—
1813C2×C4—2362no—
1814C2×C4—2362no—
1815C2×C4—2362no—
1816C2×C4—2362no—
1817C2×C4C2×D4×D5911yescharacteristic
1818C2×C4C2×D4×D5911yescharacteristic
1819C2×C4C2×D4×D5911yescharacteristic
1820C2×C4C2×D4×D5911yescharacteristic
1821C2×C4C24×D5911yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1181no—
1827C8—1181no—
1828C8—1181no—
1829C8—1181no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—22no—
1834C22—21no—
1835C22—21no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—84no—
1851C22—84no—
1852C22—162no—
1853C22—1181no—
1854C22—1181no—
1855C22—1181no—
1856C22—1181no—
1857C22—1181no—
1858C22—1181no—
1859C22—1181no—
1860C22—1181no—
1861C22—1181no—
1862C22—4722no—
1863C22—4722no—
1864C22#1683819812yes—
1865C22C22×D4×D5911yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—1181no—
1874C4—1181no—
1875C4—1181no—
1876C4—1182no—
1877C4—1181no—
1878C4—1181no—
1879C4—2361no—
1880C4—2361no—
1881C4—2361no—
1882C4—2361no—
1883C4—2361no—
1884C4—2361no—
1885C4—2361no—
1886C4H(5,𝔽2)×D5911yescharacteristic
1887C4C2×#1427377211yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—42no—
1891C2—81no—
1892C2—81no—
1893C2—81no—
1894C2—81no—
1895C2—2361no—
1896C2—2361no—
1897C2—2361no—
1898C2#2143772411yescharacteristic
1899C2C2×#1683819811yescharacteristic
1900C2#2143886411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3264C2
socleC22×C59C23×D4
hypercenter#3264D59
hypocenterC59#61597
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #21437923C2semidirect
2. D4×#11745687C2semidirect
3. #21436355C2semidirect
4. #21436301C2semidirect
5. #21436149C2semidirect
6. #21436117C2semidirect
7. #21436109C2semidirect
8. #21436077C2semidirect
9. #21435989C2semidirect
10. #21435935C2semidirect
11. #21435807C2semidirect
12. #21435781C2semidirect
13. #21435746C2semidirect
14. #21435727C2semidirect
15. #21435680C2semidirect
16. #21435657C2semidirect
17. #21435602C2semidirect
18. #21435128C2semidirect
19. #21435070C2semidirect
20. #21434932C2semidirect
21. #21434907C2semidirect
22. #21434886C2semidirect
23. #21434872C2semidirect
24. #21434201C2semidirect
25. #21434111C2semidirect
26. #21433351C2semidirect
27. #21433335C2semidirect
28. #21433309C2semidirect
29. C2×#16837544C2semidirect
30. #21433126C2semidirect
31. C59×#3264C2semidirect
33. C22×#11745687C22semidirect
34. C2×#14273757C22semidirect
35. C2×#14273756C22semidirect
36. C2×#14273756C22semidirect
37. C2×#14273746C22semidirect
38. C2×#14273746C22semidirect
39. C22×#11745670C22semidirect
40. #16838102C22semidirect
42. #16838099C22semidirect
44. #16838094C22semidirect
48. #16838072C22semidirect
50. #16838060C22semidirect
51. #16838059C22semidirect
53. #16838058C22semidirect
54. #16838056C22semidirect
57. #16838046C22semidirect
58. #16838046C22semidirect
65. #16837950C22semidirect
67. #16837934C22semidirect
68. #16837931C22semidirect
70. #16837912C22semidirect
71. #16837912C22semidirect
72. #16837909C22semidirect
75. C22⋊Q8×D59C22semidirect
76. C2×#14273698C22semidirect
78. C4×#11745687C22semidirect
81. #16837797C22semidirect
82. #16837785C22semidirect
83. #16837785C22semidirect
84. #16837771C22semidirect
85. #16837766C22semidirect
86. #16837755C22semidirect
87. #16837755C22semidirect
88. #16837746C22semidirect
89. #16837746C22semidirect
90. #16837744C22semidirect
91. #16837742C22semidirect
92. #16837734C22semidirect
93. #16837733C22semidirect
94. #16837725C22semidirect
95. #16837725C22semidirect
96. #16837725C22semidirect
97. #16837723C22semidirect
98. #16837714C22semidirect
99. #16837713C22semidirect
100. #16837712C22semidirect
101. #16837710C22semidirect
102. #16837704C22semidirect
103. #16837702C22semidirect
104. #16837660C22semidirect
105. #16837652C22semidirect
106. #16837652C22semidirect
107. #16837647C22semidirect
108. #16837647C22semidirect
109. #16837646C22semidirect
110. #16837646C22semidirect
111. #16837643C22semidirect
112. #16837642C22semidirect
113. #16837641C22semidirect
114. #16837635C22semidirect
115. #16837630C22semidirect
116. #16837629C22semidirect
117. #16837628C22semidirect
118. #16837623C22semidirect
119. #16837622C22semidirect
120. #16837622C22semidirect
121. #16837621C22semidirect
122. #16837615C22semidirect
123. #16837615C22semidirect
124. #16837615C22semidirect
125. #16837613C22semidirect
126. #16837607C22semidirect
127. #16837599C22semidirect
128. #16837565C22semidirect
129. #16837565C22semidirect
130. #16837565C22semidirect
131. #16837565C22semidirect
132. #16837564C22semidirect
133. #16837561C22semidirect
134. #16837561C22semidirect
135. #16837561C22semidirect
136. #16837561C22semidirect
137. #16837561C22semidirect
138. #16837560C22semidirect
139. #16837560C22semidirect
140. #16837559C22semidirect
141. #16837557C22semidirect
142. #16837553C22semidirect
143. #16837553C22semidirect
144. #16837553C22semidirect
147. #16837544C22semidirect
148. #16837544C22semidirect
149. #16837544C22semidirect
150. #16837544C22semidirect
151. #16837544C22semidirect
152. #16837544C22semidirect
153. #16837544C22semidirect
154. #16837544C22semidirect
155. #16837544C22semidirect
156. #16837544C22semidirect
157. #16837544C22semidirect
158. #16837540C22semidirect
159. #16837539C22semidirect
160. #16837510C22semidirect
161. #16837502C22semidirect
162. #16837502C22semidirect
163. #16837494C22semidirect
164. #16837493C22semidirect
165. SD16×Dic59C22semidirect
166. D8×Dic59C22semidirect
167. #16837478C22semidirect
168. #16837477C22semidirect
169. #16837475C22semidirect
171. #16837472C22semidirect
172. C8×C22⋊D59C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837457C22semidirect
175. #16837454C22semidirect
176. #16837412C22semidirect
177. #16837407C22semidirect
178. #16837400C22semidirect
179. #16837400C22semidirect
180. #16837395C22semidirect
181. #16837395C22semidirect
182. C2×#14273652C22semidirect
183. C2×#14273648C22semidirect
184. #16837365C22semidirect
185. #16837364C22semidirect
186. C2×(C2×D59)⋊C8C22semidirect
187. C22⋊C8×D59C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C22×D8×C59C22semidirect
192. C59×#496C22semidirect
193. C59×#469C22semidirect
194. C59×#465C22semidirect
195. C59×#463C22semidirect
196. C59×#459C22semidirect
197. C59×#450C22semidirect
198. C59×#449C22semidirect
199. C59×#447C22semidirect
200. C59×#447C22semidirect
201. C59×#442C22semidirect
955. #3264D59semidirect
987. C2×AGL(1,ℤ/8)C2×D59semidirect
991. C22×D8C2×D59semidirect
1036. #496C2×D59semidirect
1062. #469C2×D59semidirect
1074. #465C2×D59semidirect
1082. #463C2×D59semidirect
1086. #459C2×D59semidirect
1104. #450C2×D59semidirect
1118. #449C2×D59semidirect
1121. #447C2×D59semidirect
1122. #447C2×D59semidirect
1123. #442C2×D59semidirect
1153. C59#61597semidirect

Maximal subgroups

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

subgroupindex
#214379232
D4×#117456872
#214363552
#214363012
#214361492
#214361172
#214361092
#214360772
#214359892
#214359352
#214358072
#214357812
#214357462
#214357272
#214356802
#214356572
#214356022
#214351282
#214350702
#214349322
#214349072
#214348862
#214348722
#214342012
#214341112
#214333512
#214333352
#214333092
C2×#168375442
#214331262
C59×#32642
#6159759