Finite Group Databasebeta

← #29470673

Subgroups — #29470673

Order 15104.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437700C211yesmaximal, characteristic, complemented
2#21437654C211yesmaximal, characteristic, complemented
3#21437167C211yesmaximal, characteristic, complemented
4#21437055C211yesmaximal, characteristic, complemented
5#21436924C211yesmaximal, characteristic, complemented
6#21436854C211yesmaximal, characteristic, complemented
7#21436601C211yesmaximal, characteristic, complemented
8#21436547C211yesmaximal, characteristic, complemented
9#21436471C211yesmaximal, characteristic, complemented
10#21436257C211yesmaximal, characteristic, complemented
11#21436173C211yesmaximal, characteristic, complemented
12#21436113C211yesmaximal, characteristic, complemented
13#21436077C211yesmaximal, characteristic, complemented
14#21435942C211yesmaximal, characteristic, complemented
15#21435927C211yesmaximal, characteristic, complemented
16#21435781C211yesmaximal, characteristic, complemented
17#21435623C211yesmaximal, characteristic, complemented
18#21435576C211yesmaximal, characteristic, complemented
19#21434823C211yesmaximal, characteristic, complemented
20#21434805C211yesmaximal, characteristic, complemented
21#21434792C211yesmaximal, characteristic, complemented
22#21434243C211yesmaximal, characteristic, complemented
23#21434234C211yesmaximal, characteristic, complemented
24#21434232C211yesmaximal, characteristic, complemented
25#21434201C211yesmaximal, characteristic, complemented
26#21434201C211yesmaximal, characteristic, complemented
27#21434195C211yesmaximal, characteristic, complemented
28#21433107C211yesmaximal, characteristic, complemented
29#21432907C211yesmaximal, characteristic, complemented
30#21432893C211yesmaximal, characteristic, complemented
31C2×C59×#442C211yesmaximal, characteristic, complemented
32C2×#14273751C2211yescharacteristic
33C2×#14273746C2211yescharacteristic
34#16838135C2211yescharacteristic, complemented
35#16838122C2211yescharacteristic, complemented
36#16838117C2211yescharacteristic, complemented
37#16838111C2211yescharacteristic, complemented
38#16838109C2211yescharacteristic, complemented
39#16838107C2211yescharacteristic
40#16838102C2211yescharacteristic, complemented
41#16838101—21no—
42#16838100C2211yescharacteristic
43#16838098—21no—
44#16838092—21no—
45#16838087C2211yescharacteristic
46#16838087C2211yescharacteristic, complemented
47#16838081—21no—
48#16838078—21no—
49#16838078—21no—
50#16838078—21no—
51#16838056C2211yescharacteristic, complemented
52#16838047C2211yescharacteristic, complemented
53#16838046C2211yescharacteristic
54#16838046C2211yescharacteristic
55#16838046C2211yescharacteristic, complemented
56#16838042—21no—
57D4×C22⋊D59C2211yescharacteristic
58#16837959C2211yescharacteristic, complemented
59#16837949C2211yescharacteristic, complemented
60#16837936C2211yescharacteristic
61#16837934C2211yescharacteristic, complemented
62#16837934C2211yescharacteristic, complemented
63#16837934C2211yescharacteristic, complemented
64#16837932—21no—
65#16837932—21no—
66#16837932—21no—
67#16837913—21no—
68#16837913—21no—
69#16837911—21no—
70C4×#11745685C2211yescharacteristic
71C4×#11745687C2211yescharacteristic, complemented
72C4×#11745687C2211yescharacteristic, complemented
73C4×#11745687C2211yescharacteristic, complemented
74C2×C4×C22⋊D59—21no—
75C4×D4×D59C2211yescharacteristic, complemented
76C2×#14273686—21no—
77#16837811C2211yescharacteristic, complemented
78#16837809C2211yescharacteristic, complemented
79#16837802C2211yescharacteristic, complemented
80#16837796C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic
82#16837785C2211yescharacteristic, complemented
83#16837771C2211yescharacteristic, complemented
84#16837765C2211yescharacteristic, complemented
85#16837762C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837755C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837746C2211yescharacteristic, complemented
90#16837746C2211yescharacteristic, complemented
91#16837737C2211yescharacteristic, complemented
92#16837737C2211yescharacteristic, complemented
93#16837734C2211yescharacteristic, complemented
94#16837732C2211yescharacteristic, complemented
95#16837728C2211yescharacteristic, complemented
96#16837725C2211yescharacteristic, complemented
97#16837725C2211yescharacteristic, complemented
98#16837724C2211yescharacteristic, complemented
99#16837715C2211yescharacteristic
100#16837714C2211yescharacteristic, complemented
101#16837712C2211yescharacteristic, complemented
102#16837712C2211yescharacteristic, complemented
103#16837704C2211yescharacteristic, complemented
104#16837704C2211yescharacteristic, complemented
105#16837702C2211yescharacteristic, complemented
106#16837702C2211yescharacteristic, complemented
107#16837701C2211yescharacteristic, complemented
108#16837700C2211yescharacteristic, complemented
109#16837686C2211yescharacteristic, complemented
110#16837682C2211yescharacteristic, complemented
111#16837682C2211yescharacteristic, complemented
112#16837680C2211yescharacteristic, complemented
113#16837661C2211yescharacteristic, complemented
114#16837652C2211yescharacteristic
115#16837647C2211yescharacteristic, complemented
116#16837647C2211yescharacteristic, complemented
117#16837643C2211yescharacteristic, complemented
118#16837643C2211yescharacteristic, complemented
119#16837637C2211yescharacteristic, complemented
120#16837635C2211yescharacteristic, complemented
121#16837632C2211yescharacteristic, complemented
122#16837631C2211yescharacteristic
123#16837631C2211yescharacteristic
124#16837630C2211yescharacteristic, complemented
125#16837623C2211yescharacteristic, complemented
126#16837623C2211yescharacteristic, complemented
127#16837617C2211yescharacteristic, complemented
128#16837617C2211yescharacteristic, complemented
129#16837616C2211yescharacteristic, complemented
130#16837615C2211yescharacteristic
131#16837615C2211yescharacteristic
132#16837615C2211yescharacteristic, complemented
133#16837607C2211yescharacteristic, complemented
134#16837607C2211yescharacteristic, complemented
135#16837601C2211yescharacteristic, complemented
136#16837595C2211yescharacteristic
137#16837565C2211yescharacteristic, complemented
138#16837565C2211yescharacteristic, complemented
139#16837554C2211yescharacteristic, complemented
140#16837553C2211yescharacteristic
141#16837553C2211yescharacteristic
142#16837553C2211yescharacteristic, complemented
143#16837548C2211yescharacteristic, complemented
144#16837544C2211yescharacteristic
145#16837544C2211yescharacteristic
146#16837544C2211yescharacteristic, complemented
147#16837536C2211yescharacteristic
148#16837534C2211yescharacteristic
149#16837530C2211yescharacteristic, complemented
150#16837530C2211yescharacteristic, complemented
151#16837514C2211yescharacteristic
152#16837512C2211yescharacteristic, complemented
153#16837512C2211yescharacteristic, complemented
154#16837510C2211yescharacteristic, complemented
155#16837510C2211yescharacteristic, complemented
156#16837508C2211yescharacteristic, complemented
157#16837504C2211yescharacteristic, complemented
158#16837504C2211yescharacteristic, complemented
159#16837502C2211yescharacteristic, complemented
160#16837502C2211yescharacteristic, complemented
161#16837502C2211yescharacteristic, complemented
162#16837502C2211yescharacteristic, complemented
163#16837502C2211yescharacteristic, complemented
164#16837502C2211yescharacteristic, complemented
165#16837499C2211yescharacteristic, complemented
166#16837499C2211yescharacteristic, complemented
167#16837493C2211yescharacteristic, complemented
168#16837489C2211yescharacteristic, complemented
169D8×Dic59C2211yescharacteristic
170#16837482C2211yescharacteristic, complemented
171#16837475C2211yescharacteristic, complemented
172#16837475C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic
174#16837473C2211yescharacteristic
175C8×C22⋊D59C2211yescharacteristic, complemented
176C8×C22⋊D59C2211yescharacteristic, complemented
177#16837459C2211yescharacteristic, complemented
178#16837457C2211yescharacteristic, complemented
179#16837457C2211yescharacteristic, complemented
180#16837441C2211yescharacteristic, complemented
181#16837437C2211yescharacteristic, complemented
182#16837405C2211yescharacteristic, complemented
183#16837400C2211yescharacteristic, complemented
184#16837395C2211yescharacteristic, complemented
185#16837395C2211yescharacteristic, complemented
186#16837354C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C22×D8×C59C2211yescharacteristic
189C2×C4×D4×C59C2211yescharacteristic
190C2×C4×D4×C59C2211yescharacteristic, complemented
191C59×#442C2211yescharacteristic
192C59×#442C2211yescharacteristic
193C59×#442C2211yescharacteristic
194C59×#442C2211yescharacteristic
195C59×#442C2211yescharacteristic, complemented
196C59×#442C2211yescharacteristic, complemented
197C59×#442C2211yescharacteristic, complemented
198C59×#442C2211yescharacteristic, complemented
199C2×#106×C59C2211yescharacteristic, complemented
200C2×#102×C59C2211yescharacteristic
201C2×#102×C59C2211yescharacteristic, complemented
202C2×#97×C59C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685D411yescharacteristic
205C2×#11745687C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C22×C22⋊D59—21no—
209C2×D4×D59C2311yescharacteristic
210C22×C4×D59—21no—
211#14273751—24no—
212#14273746—24no—
213C2×Dic236C2311yescharacteristic
214C2×Dic236C2311yescharacteristic
215C2×#11745660C2311yescharacteristic
216C2×#11745660C2311yescharacteristic
217C2×#11745670C2311yescharacteristic
218C2×#11745670C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745669C2311yescharacteristic
224C2×#11745669C2311yescharacteristic
225C2×#11745659C2311yescharacteristic
226C2×#11745659C2311yescharacteristic
227C2×C8×D59C2311yescharacteristic
228C2×C8×D59C2311yescharacteristic
229#14273727C2311yescharacteristic
230#14273727C2311yescharacteristic
231#14273726C2311yescharacteristic
232#14273723C2311yescharacteristic
233#14273722—21no—
234#14273722—21no—
235#14273722—21no—
236#14273721—21no—
237#14273720—21no—
238#14273720—21no—
239#14273720—21no—
240#14273720—21no—
241#14273720—21no—
242#14273720—21no—
243#14273719—21no—
244#14273719C2311yescharacteristic
245#14273718C2311yescharacteristic
246#14273718C2311yescharacteristic
247#14273718C2311yescharacteristic
248#14273717—21no—
249#14273717—21no—
250#14273717—21no—
251#14273715C2311yescharacteristic
252#14273714C2311yescharacteristic
253#14273714C2311yescharacteristic
254#14273714C2311yescharacteristic
255#14273713—21no—
256#14273713—21no—
257#14273713—21no—
258#14273713—21no—
259#14273712—21no—
260#14273711—21no—
261#14273711—21no—
262#14273711—21no—
263#14273710—21no—
264#14273710—21no—
265#14273710—21no—
266#14273710—21no—
267#14273710—21no—
268#14273709—21no—
269#14273709—21no—
270#14273709—21no—
271#14273709—21no—
272#14273708—21no—
273#14273708—21no—
274#14273708—21no—
275#14273707C2311yescharacteristic
276#14273707C2311yescharacteristic
277#14273707C2311yescharacteristic
278#14273706—21no—
279#14273706—21no—
280#14273706—21no—
281#14273706—21no—
282#14273706—21no—
283#14273706C2311yescharacteristic
284#14273706C2311yescharacteristic
285#14273706C2311yescharacteristic
286#14273705—21no—
287#14273704—21no—
288#14273704—21no—
289#14273704—21no—
290#14273704—21no—
291#14273702C2311yescharacteristic
292#14273701—21no—
293#14273701—21no—
294#14273701—21no—
295#14273701—21no—
296#14273701C2311yescharacteristic
297#14273700—21no—
298#14273700—21no—
299#14273699—21no—
300#14273699—21no—
301#14273699—21no—
302#14273699—21no—
303#14273698C2311yescharacteristic
304#14273698C2311yescharacteristic
305#14273698C2311yescharacteristic
306#14273698C2311yescharacteristic
307#14273697—21no—
308#14273696—21no—
309#14273696—21no—
310#14273696—21no—
311#14273696—21no—
312#14273695—21no—
313C4×Dic118—21no—
314C4×Dic118D411yescharacteristic
315C4×Dic118C2311yescharacteristic
316C4×Dic118C2311yescharacteristic
317C4×Dic118C2311yescharacteristic
318C4×Dic118C2311yescharacteristic
319#14273692C2311yescharacteristic
320#14273692C2311yescharacteristic
321#14273692C2311yescharacteristic
322C4×D236D411yescharacteristic
323C4×D236C2311yescharacteristic
324C4×D236C2311yescharacteristic
325D4×Dic59C2311yescharacteristic
326D4×Dic59C2311yescharacteristic
327D4×Dic59C2311yescharacteristic
328D4×Dic59C2311yescharacteristic
329#14273689C2311yescharacteristic
330C4×C22⋊D59—21no—
331C4×C22⋊D59—21no—
332C4×C22⋊D59—21no—
333C4×C22⋊D59—21no—
334C4×C22⋊D59—21no—
335C4×C22⋊D59—21no—
336C4×C22⋊D59—21no—
337C4×C22⋊D59—21no—
338C4×C22⋊D59—21no—
339C4×C22⋊D59—21no—
340C4×C22⋊D59—21no—
341C4×C22⋊D59—21no—
342C4×C22⋊D59—21no—
343C4×C22⋊D59D411yescharacteristic
344C4×C22⋊D59D411yescharacteristic
345C4×C22⋊D59C2311yescharacteristic
346C4×C22⋊D59C2311yescharacteristic
347(C22⋊D59)⋊C4—21no—
348(C22⋊D59)⋊C4—21no—
349(C22⋊D59)⋊C4—21no—
350(C22⋊D59)⋊C4—21no—
351#14273686—21no—
352#14273686—21no—
353#14273686—21no—
354#14273686—21no—
355#14273686—21no—
356#14273686—21no—
357#14273686—21no—
358#14273686—21no—
359#14273686D411yescharacteristic
360#14273685C2311yescharacteristic
361#14273685C2311yescharacteristic
362#14273685C2311yescharacteristic
363#14273684—21no—
364#14273684D411yescharacteristic
365#14273684D411yescharacteristic
366#14273683—21no—
367#14273683—21no—
368#14273683—21no—
369C2×C4⋊Dic59—21no—
370C2×C4⋊Dic59—21no—
371C2×Dic59⋊C4—21no—
372C4⋊C4×D59C2311yescharacteristic
373C2×C22⋊Dic59—21no—
374C2×C22⋊Dic59—21no—
375C2×C22⋊Dic59—21no—
376C2×(C2×D59)⋊C4—21no—
377C22⋊C4×D59—21no—
378C2×C4×Dic59—21no—
379C2×C4×Dic59—21no—
380C2×C4×Dic59—21no—
381C42×D59C2311yescharacteristic
382C42×D59C2311yescharacteristic
383#14273661C2311yescharacteristic
384#14273661C2311yescharacteristic
385#14273660C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396C4⋊(C59⋊C8)C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401#14273652C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431#14273638C2311yescharacteristic
432#14273638C2311yescharacteristic
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C22×D4×C59C2311yescharacteristic
438C22×D4×C59C2311yescharacteristic
439C23×C4×C59—21no—
440C23×C4×C59—21no—
441C2×D8×C59—24no—
442C2×D8×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C22×C8×C59C2311yescharacteristic
447C22×C8×C59C2311yescharacteristic
448C4×D4×C59—21no—
449C4×D4×C59—21no—
450C4×D4×C59—21no—
451C4×D4×C59—21no—
452C4×D4×C59C2311yescharacteristic
453C4×D4×C59C2311yescharacteristic
454C4×D4×C59C2311yescharacteristic
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C2×C4⋊C4×C59C2311yescharacteristic
461C2×C4⋊C4×C59C2311yescharacteristic
462C2×C22⋊C4×C59—21no—
463C2×C22⋊C4×C59—21no—
464C2×C42×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#102×C59C2311yescharacteristic
470#102×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#97×C59C2311yescharacteristic
478#97×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C24×C59—21no—
482C24×C59—21no—
483C23×D59—21no—
484C2×D4×C59—22no—
485C2×D4×C59—22no—
486C2×D4×C59—21no—
487C2×D4×C59—21no—
488C2×D4×C59—41no—
489C2×D4×C59—41no—
490C2×D4×C59C2411yescharacteristic
491C2×D4×C59C2411yescharacteristic
492C2×D4×C59C2411yescharacteristic
493C2×D4×C59C2411yescharacteristic
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59—44no—
505C22×C4×C59—82no—
506C22×C4×C59C2×D411yescharacteristic
507C22×C4×C59C2×D411yescharacteristic
508C22×C4×C59C2411yescharacteristic
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—44no—
521C2×C22⋊D59C2×D411yescharacteristic
522C2×C22⋊D59C2×D411yescharacteristic
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59—21no—
530#11745687—22no—
531#11745687—22no—
532#11745687—22no—
533#11745687—41no—
534#11745687—41no—
535#11745687—41no—
536D4×D59—22no—
537D4×D59—41no—
538#11745685—42no—
539#11745685—82no—
540C2×D236—21no—
541C2×D236C2×D411yescharacteristic
542C2×D236C2411yescharacteristic
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—82no—
547C2×C4×D59C2×D411yescharacteristic
548C2×C4×D59C2×D411yescharacteristic
549C2×C4×D59C2×D411yescharacteristic
550C2×C4×D59C2×D411yescharacteristic
551C2×C4×D59C2411yescharacteristic
552C2×C4×D59C2411yescharacteristic
553C2×Dic118—21no—
554C2×Dic118—21no—
555C2×Dic118C2×D411yescharacteristic
556C2×Dic118C2411yescharacteristic
557C2×Dic118C2411yescharacteristic
558C2×Dic118C2411yescharacteristic
559D8×C59—22no—
560D8×C59—22no—
561D8×C59—22no—
562D8×C59#4114yescomplemented
563C2×C8×C59—22no—
564C2×C8×C59—41no—
565C2×C8×C59C2411yescharacteristic
566C2×C8×C59C2411yescharacteristic
567C2×C8×C59C2411yescharacteristic
568C2×C8×C59C2411yescharacteristic
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59C2411yescharacteristic
572C4⋊C4×C59C2411yescharacteristic
573C4⋊C4×C59C2411yescharacteristic
574C4⋊C4×C59C2411yescharacteristic
575C22⋊C4×C59—21no—
576C22⋊C4×C59—21no—
577C22⋊C4×C59—21no—
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C42×C59C2×D411yescharacteristic
584C42×C59C2×D411yescharacteristic
585C42×C59C2411yescharacteristic
586C42×C59C2411yescharacteristic
587C22⋊Dic59—21no—
588C22⋊Dic59—21no—
589C22⋊Dic59—21no—
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59C2×D411yescharacteristic
605C22⋊Dic59C2×D411yescharacteristic
606#11745670—22no—
607#11745670—22no—
608#11745670—22no—
609#11745670—41no—
610#11745670—41no—
611#11745670—41no—
612#11745669—22no—
613#11745669—41no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4C2×D411yescharacteristic
627(C2×D59)⋊C4C2×D411yescharacteristic
628(C2×D59)⋊C4C2×D411yescharacteristic
629(C2×D59)⋊C4C2×D411yescharacteristic
630C4⋊Dic59—21no—
631C4⋊Dic59—21no—
632C4⋊Dic59—21no—
633C4⋊Dic59—21no—
634C4⋊Dic59—21no—
635C4⋊Dic59—21no—
636C4⋊Dic59—21no—
637C4⋊Dic59—21no—
638C4⋊Dic59—21no—
639C4⋊Dic59C2×D411yescharacteristic
640C4⋊Dic59C2×D411yescharacteristic
641C4⋊Dic59C2411yescharacteristic
642C4⋊Dic59C2411yescharacteristic
643C4⋊Dic59C2411yescharacteristic
644C4⋊Dic59C2411yescharacteristic
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4C2×D411yescharacteristic
662Dic59⋊C4C2×D411yescharacteristic
663Dic59⋊C4C2×D411yescharacteristic
664Dic59⋊C4C2×D411yescharacteristic
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2411yescharacteristic
679C4×Dic59C2411yescharacteristic
680C2×C59⋊C8C2411yescharacteristic
681C2×C59⋊C8C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684Dic236—22no—
685Dic236—41no—
686#11745660—22no—
687#11745660—41no—
688#11745659—22no—
689#11745659—41no—
690C8×D59—22no—
691C8×D59—41no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59—21no—
695C23×C59—21no—
696C23×C59—42no—
697C23×C59—42no—
698C23×C59—42no—
699C23×C59—42no—
700C23×C59—81no—
701C23×C59—81no—
702C23×C59C22×D411yescharacteristic
703C22×D59—21no—
704C22×D59—42no—
705C22×D59—42no—
706C22×D59—81no—
707C22×D59C22×D411yescharacteristic
708C22×D59C22×D411yescharacteristic
709D4×C59—21no—
710D4×C59—21no—
711D4×C59—21no—
712D4×C59—21no—
713D4×C59—21no—
714D4×C59—21no—
715D4×C59—42no—
716D4×C59—42no—
717D4×C59C2×#4112yes—
718D4×C59C2×#4112yes—
719C2×C4×C59—22no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—41no—
727C2×C4×C59—42no—
728C2×C4×C59—42no—
729C2×C4×C59—42no—
730C2×C4×C59—42no—
731C2×C4×C59—42no—
732C2×C4×C59—42no—
733C2×C4×C59—42no—
734C2×C4×C59—81no—
735C2×C4×C59—81no—
736C2×C4×C59—81no—
737C2×C4×C59C22×D411yescharacteristic
738C2×C4×C59C22×D411yescharacteristic
739C2×C4×C59C22×D411yescharacteristic
740C2×C4×C59C22×D411yescharacteristic
741C2×C4×C59C22×D411yescharacteristic
742C2×C4×C59C2511yescharacteristic
743C22⋊D59—22no—
744C22⋊D59—22no—
745C22⋊D59—42no—
746C22⋊D59—42no—
747C22⋊D59—42no—
748C22⋊D59—42no—
749C22⋊D59—42no—
750C22⋊D59—42no—
751C22⋊D59—42no—
752C22⋊D59—81no—
753C22⋊D59—81no—
754C22⋊D59—81no—
755C22⋊D59—81no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—42no—
764C2×Dic59—42no—
765C2×Dic59—42no—
766C2×Dic59—42no—
767C2×Dic59—81no—
768C2×Dic59—81no—
769C2×Dic59—81no—
770C2×Dic59C22×D411yescharacteristic
771C2×Dic59C22×D411yescharacteristic
772C2×Dic59C22×D411yescharacteristic
773C2×Dic59C22×D411yescharacteristic
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776D236—21no—
777D236—21no—
778D236—41no—
779D236—81no—
780C4×D59—21no—
781C4×D59—21no—
782C4×D59—21no—
783C4×D59—21no—
784C4×D59—41no—
785C4×D59—41no—
786C4×D59—41no—
787C4×D59—41no—
788C4×D59—42no—
789C4×D59—81no—
790C4×D59—81no—
791Dic118—21no—
792Dic118—21no—
793Dic118—21no—
794Dic118—21no—
795Dic118—21no—
796Dic118—21no—
797Dic118—41no—
798Dic118—81no—
799Dic118—81no—
800C8×C59—21no—
801C8×C59—21no—
802C8×C59—21no—
803C8×C59C2×#4112yes—
804C59⋊C8—21no—
805C59⋊C8—21no—
806C59⋊C8—21no—
807C59⋊C8—21no—
808#61454—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—22no—
812C22×C59—22no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59—84no—
824C22×C59—84no—
825C22×C59#57512yes—
826C22×C59C23×D411yescharacteristic
827C2×D59—21no—
828C2×D59—21no—
829C2×D59—21no—
830C2×D59—21no—
831C2×D59—21no—
832C2×D59—21no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—41no—
836C2×D59—84no—
837C4×C59—21no—
838C4×C59—21no—
839C4×C59—21no—
840C4×C59—21no—
841C4×C59—21no—
842C4×C59—41no—
843C4×C59—41no—
844C4×C59—41no—
845C4×C59—41no—
846C4×C59C22×#4111yescharacteristic
847C4×C59#58511yescharacteristic
848Dic59—21no—
849Dic59—21no—
850Dic59—21no—
851Dic59—21no—
852Dic59—21no—
853Dic59—21no—
854Dic59—41no—
855Dic59—41no—
856Dic59—41no—
857Dic59—41no—
858Dic59—41no—
859Dic59—41no—
860Dic59—41no—
861#3481—591no—
862#3475—591no—
863#3401—591no—
864#3389—591no—
865#3376—591no—
866#3370—591no—
867#3347—591no—
868#3344—591no—
869#3337—591no—
870#3319—591no—
871#3314—591no—
872#3310—591no—
873#3307—591no—
874#3297—591no—
875#3296—591no—
876#3280—591no—
877#3267—591no—
878#3264—591no—
879#3183—591no—
880#3181—591no—
881#3180—591no—
882#3115—591no—
883#3114—591no—
884#3114—591no—
885#3111—591no—
886#3111—591no—
887#3110—591no—
888#2970—591no—
889C4×AGL(1,ℤ/8)—591no—
890#2943—591no—
891C2×#442D5911yescharacteristic, complemented
892C2×C59—22no—
893C2×C59—42no—
894C2×C59—42no—
895C2×C59—81no—
896C2×C59—81no—
897C2×C59D4×#4111yescharacteristic
898C2×C59C2×#57511yescharacteristic
899C2×C59#358511yescharacteristic
900D59—41no—
901D59—41no—
902D59—81no—
903C2×AGL(1,ℤ/8)—591no—
904C2×#135—591no—
905C22×D8C2×D5911yescharacteristic
906#559—591no—
907#556—591no—
908#555—591no—
909#554—591no—
910#554—591no—
911#554—591no—
912#553—591no—
913#553—591no—
914#553—1181no—
915#553—1181no—
916#552—591no—
917#552—591no—
918#552—1181no—
919#551—1181no—
920#551—1181no—
921#551—1181no—
922#551—1181no—
923#547—591no—
924#546—591no—
925#546—591no—
926#546—591no—
927#546—591no—
928#546—1181no—
929D42—591no—
930#533—591no—
931#532—591no—
932#529—591no—
933#529—591no—
934#529—591no—
935#529—591no—
936#529—1181no—
937#529—1181no—
938#529—1181no—
939#525—1181no—
940#525—1181no—
941#525—1181no—
942C4×#41—591no—
943C4×#41—591no—
944C4×#41—591no—
945C4×#41—591no—
946C2×C4×D4—591no—
947C2×C4×D4—1181no—
948C2×C4×D4C2×D5911yescharacteristic
949C2×C4×D4C2×D5911yescharacteristic, complemented
950C2×#117—1181no—
951#501—591no—
952#501—591no—
953#499—591no—
954#497—591no—
955#496—591no—
956#495—591no—
957#491—591no—
958#490—591no—
959#489—591no—
960#489—591no—
961#488—591no—
962#488—591no—
963#485—591no—
964#485—591no—
965#484—591no—
966#484—591no—
967#483—591no—
968#483—591no—
969#482—591no—
970#482—591no—
971#482—591no—
972#482—591no—
973#480—591no—
974#480—591no—
975#479—591no—
976#479—591no—
977#478—591no—
978#478—591no—
979#478—591no—
980#478—591no—
981#478—591no—
982#478—591no—
983#475—591no—
984#474—591no—
985#474—591no—
986#474—591no—
987#470—591no—
988#469—591no—
989#468—591no—
990#468—591no—
991#467—591no—
992#467—591no—
993#466—591no—
994#466—591no—
995#465—591no—
996#465—591no—
997#465—591no—
998#465—591no—
999#464—591no—
1000#464—591no—
1001#463—591no—
1002#463—591no—
1003#463—591no—
1004#463—591no—
1005#463—591no—
1006#463—591no—
1007#461—591no—
1008#461—591no—
1009#460—591no—
1010#459—591no—
1011#452—591no—
1012#452—591no—
1013#450—591no—
1014#450—591no—
1015#450—591no—
1016#450—591no—
1017#449—591no—
1018#449—591no—
1019#449—591no—
1020#449—591no—
1021#447—591no—
1022#447—591no—
1023#446—591no—
1024#446—591no—
1025#442—591no—
1026#442—591no—
1027#442—591no—
1028#442C2×D5911yescharacteristic
1029#442C2×D5911yescharacteristic
1030#442C2×D5911yescharacteristic
1031#442C2×D5911yescharacteristic
1032#442C2×D5911yescharacteristic, complemented
1033#442C2×D5911yescharacteristic, complemented
1034#442C2×D5911yescharacteristic, complemented
1035#442C2×D5911yescharacteristic, complemented
1036#441—591no—
1037#441—591no—
1038#441—591no—
1039#440—591no—
1040#440—591no—
1041#440—591no—
1042#440—591no—
1043#440—591no—
1044#440—591no—
1045#440—591no—
1046#440—591no—
1047#440—591no—
1048#440—591no—
1049C4×SD16—591no—
1050C4×SD16—591no—
1051C4×D8—591no—
1052C4×D8—591no—
1053#435—591no—
1054#435—591no—
1055#435—591no—
1056#435—591no—
1057C8×D4—591no—
1058C8×D4—591no—
1059#432—591no—
1060#432—591no—
1061#432—591no—
1062#428—591no—
1063#427—591no—
1064C2×#106C2×D5911yescharacteristic, complemented
1065#418—591no—
1066#417—591no—
1067#416—591no—
1068#416—591no—
1069C2×#102C2×D5911yescharacteristic
1070C2×#102C2×D5911yescharacteristic, complemented
1071C4×M16—591no—
1072C2×#97—591no—
1073C2×#97C2×D5911yescharacteristic, complemented
1074C59#6145411yescharacteristic, complemented, Sylow
1075C2×#41—591no—
1076C2×#41—591no—
1077C2×#41—591no—
1078C2×#41—591no—
1079C2×#41—1181no—
1080C22×D4—591no—
1081C22×D4—1181no—
1082C22×D4C22×D5911yescharacteristic
1083C22×D4C22×D5911yescharacteristic
1084C23×C4—21no—
1085C23×C4—21no—
1086C23×C4—1181no—
1087AGL(1,ℤ/8)—1184no—
1088#135—1184no—
1089C2×Q16—591no—
1090C2×Q16—591no—
1091C2×SD16—591no—
1092C2×SD16—591no—
1093C2×SD16—591no—
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16—591no—
1097C2×SD16—591no—
1098C2×SD16—591no—
1099C2×D8—24no—
1100C2×D8—591no—
1101C2×D8—591no—
1102C2×D8C22×D5911yescharacteristic
1103C2×D8C22×D5911yescharacteristic
1104C2×D8C22×D5911yescharacteristic
1105C2×D8C22×D5911yescharacteristic
1106C2×M16—591no—
1107C2×M16—591no—
1108C22×C8—591no—
1109C22×C8—591no—
1110C22×C8C22×D5911yescharacteristic
1111C22×C8C22×D5911yescharacteristic
1112C4⋊Q8—591no—
1113C4⋊Q8—591no—
1114C4⋊Q8—591no—
1115#127—591no—
1116#126—1181no—
1117#126—1181no—
1118#126—1181no—
1119#126—1181no—
1120#126—1181no—
1121#126—1181no—
1122#126—1181no—
1123#126—1181no—
1124#126—1181no—
1125#126—1181no—
1126#125—591no—
1127#125—591no—
1128#125—591no—
1129#125—591no—
1130#125—1181no—
1131#125—1181no—
1132#125—1181no—
1133#125—1181no—
1134#124—591no—
1135#124—591no—
1136#124—591no—
1137#124—591no—
1138#124—1181no—
1139#124—1181no—
1140#124—1181no—
1141#124—1181no—
1142#123—1181no—
1143#123—1181no—
1144#123—1181no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151#123—1181no—
1152#123—1181no—
1153#123—1181no—
1154#123—1181no—
1155#123—1181no—
1156#123—1181no—
1157#123—1181no—
1158C22⋊Q8—591no—
1159C22⋊Q8—591no—
1160C22⋊Q8—591no—
1161C22⋊Q8—591no—
1162C22⋊Q8—591no—
1163C22⋊Q8—591no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8—1181no—
1169C22⋊Q8—1181no—
1170C22⋊Q8—1181no—
1171C22⋊Q8—1181no—
1172C22⋊Q8—1181no—
1173C22⋊Q8—1181no—
1174#121—591no—
1175#121—591no—
1176#121—591no—
1177#121—591no—
1178#121—591no—
1179#121—591no—
1180#121—1181no—
1181#121—1181no—
1182#121—1181no—
1183#121—1181no—
1184#121—1181no—
1185#121—1181no—
1186#121—1181no—
1187#121—1181no—
1188#121—1181no—
1189#121—1181no—
1190#120—1181no—
1191#120—1181no—
1192#120—1181no—
1193#120—1181no—
1194#120—1181no—
1195#120—1181no—
1196C4×Q8—591no—
1197C4×Q8—591no—
1198C4×Q8—591no—
1199C4×Q8—591no—
1200C4×Q8—591no—
1201C4×Q8—591no—
1202C4×Q8—591no—
1203C4×Q8—591no—
1204C4×Q8—1181no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—591no—
1210C4×D4—591no—
1211C4×D4—591no—
1212C4×D4—591no—
1213C4×D4—591no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—591no—
1221C4×D4—1181no—
1222C4×D4—1181no—
1223C4×D4—1181no—
1224C4×D4—1181no—
1225C4×D4—1181no—
1226C4×D4—1181no—
1227C4×D4—1181no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4C22×D5911yescharacteristic
1239C4×D4C22×D5911yescharacteristic
1240C4×D4C22×D5911yescharacteristic
1241C4×D4C22×D5911yescharacteristic
1242C4×D4C22×D5911yescharacteristic
1243C4×D4C22×D5911yescharacteristic
1244C4×D4C22×D5911yescharacteristic
1245C4×D4C22×D5911yescharacteristic
1246#117—591no—
1247#117—591no—
1248#117—591no—
1249#117—591no—
1250#117—591no—
1251#117—591no—
1252#117—1181no—
1253#117—1181no—
1254#117—1181no—
1255#117—1181no—
1256#117—1181no—
1257#117—1181no—
1258#117—1181no—
1259#117—1181no—
1260#117—1181no—
1261#117—1181no—
1262#117—1181no—
1263#117—1181no—
1264C2×C4⋊C4—591no—
1265C2×C4⋊C4—1181no—
1266C2×C4⋊C4—1181no—
1267C2×C4⋊C4—1181no—
1268C2×C4⋊C4C22×D5911yescharacteristic
1269C2×C4⋊C4C22×D5911yescharacteristic
1270C2×C22⋊C4—21no—
1271C2×C22⋊C4—21no—
1272C2×C22⋊C4—1181no—
1273C2×C22⋊C4—1181no—
1274C2×C22⋊C4—1181no—
1275C2×C22⋊C4—1181no—
1276C2×C22⋊C4—1181no—
1277C2×C42—591no—
1278C2×C42—591no—
1279C2×C42—1181no—
1280C2×C42—1181no—
1281C2×C42—1181no—
1282C2×C42C22×D5911yescharacteristic
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107—591no—
1288#107—591no—
1289#107—591no—
1290#107—591no—
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106—591no—
1295#106C22×D5911yescharacteristic
1296#106C22×D5911yescharacteristic
1297#106C22×D5911yescharacteristic
1298#106C22×D5911yescharacteristic
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302C4⋊C8—591no—
1303C4⋊C8—591no—
1304C4⋊C8—591no—
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103—591no—
1312#103—591no—
1313#103—591no—
1314#103—591no—
1315#103—591no—
1316#103—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102—591no—
1326#102—591no—
1327#102—591no—
1328#102—591no—
1329#102C22×D5911yescharacteristic
1330#102C22×D5911yescharacteristic
1331#102C22×D5911yescharacteristic
1332#102C22×D5911yescharacteristic
1333#102C22×D5911yescharacteristic
1334#102C22×D5911yescharacteristic
1335#102C22×D5911yescharacteristic
1336#102C22×D5911yescharacteristic
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340C22⋊C8—591no—
1341C22⋊C8—591no—
1342C22⋊C8—591no—
1343#97—591no—
1344#97—591no—
1345#97—591no—
1346#97—591no—
1347#97C22×D5911yescharacteristic
1348#97C22×D5911yescharacteristic
1349#97C22×D5911yescharacteristic
1350#97C22×D5911yescharacteristic
1351C4×C8—591no—
1352C4×C8—591no—
1353C24—21no—
1354C24—21no—
1355C24—1181no—
1356#41—1182no—
1357#41—1182no—
1358#41—1182no—
1359#41—4722no—
1360#41—2362no—
1361#41—2361no—
1362#41—2361no—
1363#41—2361no—
1364C2×Q8—591no—
1365C2×Q8—591no—
1366C2×Q8—591no—
1367C2×Q8—591no—
1368C2×Q8—1181no—
1369C2×Q8—1181no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—591no—
1377C2×D4—591no—
1378C2×D4—591no—
1379C2×D4—591no—
1380C2×D4—1181no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1182no—
1385C2×D4—1181no—
1386C2×D4—1181no—
1387C2×D4—1181no—
1388C2×D4—1181no—
1389C2×D4—1181no—
1390C2×D4—1181no—
1391C2×D4—1181no—
1392C2×D4—1181no—
1393C2×D4—2361no—
1394C2×D4—2364no—
1395C2×D4C23×D5911yescharacteristic
1396C2×D4C23×D5911yescharacteristic
1397C2×D4C23×D5911yescharacteristic
1398C2×D4C23×D5911yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—44no—
1410C22×C4—82no—
1411C22×C4—591no—
1412C22×C4—591no—
1413C22×C4—591no—
1414C22×C4—591no—
1415C22×C4—591no—
1416C22×C4—591no—
1417C22×C4—1181no—
1418C22×C4—1181no—
1419C22×C4—1181no—
1420C22×C4—1181no—
1421C22×C4—1181no—
1422C22×C4—1181no—
1423C22×C4—1181no—
1424C22×C4—1181no—
1425C22×C4—1181no—
1426C22×C4—1181no—
1427C22×C4—4722no—
1428C22×C4D4×D5911yescharacteristic
1429C22×C4D4×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431Q16—1182no—
1432Q16—2361no—
1433SD16—1182no—
1434SD16—1182no—
1435SD16—1182no—
1436SD16—1182no—
1437SD16—2361no—
1438SD16—2361no—
1439SD16—2361no—
1440SD16—2361no—
1441D8—22no—
1442D8—22no—
1443D8—22no—
1444D8—1182no—
1445D8—2361no—
1446D8#1174568514yescomplemented
1447M16—1182no—
1448M16—2361no—
1449C2×C8—22no—
1450C2×C8—41no—
1451C2×C8—591no—
1452C2×C8—591no—
1453C2×C8—591no—
1454C2×C8—591no—
1455C2×C8—1182no—
1456C2×C8—2361no—
1457C2×C8C23×D5911yescharacteristic
1458C2×C8C23×D5911yescharacteristic
1459C2×C8C23×D5911yescharacteristic
1460C2×C8C23×D5911yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—591no—
1464C4⋊C4—591no—
1465C4⋊C4—591no—
1466C4⋊C4—591no—
1467C4⋊C4—591no—
1468C4⋊C4—591no—
1469C4⋊C4—591no—
1470C4⋊C4—591no—
1471C4⋊C4—591no—
1472C4⋊C4—591no—
1473C4⋊C4—1181no—
1474C4⋊C4—1181no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4—1181no—
1496C4⋊C4—1181no—
1497C4⋊C4—1181no—
1498C4⋊C4C23×D5911yescharacteristic
1499C4⋊C4C23×D5911yescharacteristic
1500C4⋊C4C23×D5911yescharacteristic
1501C4⋊C4C23×D5911yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—591no—
1511C22⋊C4—591no—
1512C22⋊C4—591no—
1513C22⋊C4—591no—
1514C22⋊C4—591no—
1515C22⋊C4—591no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
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—
1545C42—591no—
1546C42—591no—
1547C42—591no—
1548C42—591no—
1549C42—591no—
1550C42—591no—
1551C42—1181no—
1552C42—1181no—
1553C42—1181no—
1554C42—1181no—
1555C42—1181no—
1556C42—1181no—
1557C42—1181no—
1558C42—1181no—
1559C42—1181no—
1560C42D4×D5911yescharacteristic
1561C42D4×D5911yescharacteristic
1562C42C23×D5911yescharacteristic
1563C42C23×D5911yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—42no—
1569C23—42no—
1570C23—42no—
1571C23—42no—
1572C23—81no—
1573C23—81no—
1574C23—591no—
1575C23—591no—
1576C23—1181no—
1577C23—4721no—
1578C23—2362no—
1579C23—2362no—
1580C23C2×D4×D5911yescharacteristic
1581Q8—1181no—
1582Q8—1181no—
1583Q8—1181no—
1584Q8—1181no—
1585Q8—1181no—
1586Q8—1181no—
1587Q8—4721no—
1588Q8—4721no—
1589Q8—2361no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—42no—
1597D4—42no—
1598D4—1182no—
1599D4—1182no—
1600D4—1181no—
1601D4—1181no—
1602D4—4721no—
1603D4—4721no—
1604D4—4721no—
1605D4—4721no—
1606D4—4721no—
1607D4—2361no—
1608D4—2362no—
1609D4—2362no—
1610D4—2362no—
1611D4—2362no—
1612D4—2362no—
1613D4—2362no—
1614D4—2362no—
1615D4C2×#1174568512yes—
1616D4C2×#1174568512yes—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—41no—
1625C2×C4—42no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—42no—
1631C2×C4—42no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—591no—
1636C2×C4—591no—
1637C2×C4—591no—
1638C2×C4—591no—
1639C2×C4—591no—
1640C2×C4—591no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—1181no—
1648C2×C4—1181no—
1649C2×C4—1181no—
1650C2×C4—1181no—
1651C2×C4—1181no—
1652C2×C4—4721no—
1653C2×C4—4721no—
1654C2×C4—4721no—
1655C2×C4—4721no—
1656C2×C4—4721no—
1657C2×C4—2361no—
1658C2×C4—2361no—
1659C2×C4—2361no—
1660C2×C4—2361no—
1661C2×C4—2362no—
1662C2×C4—2362no—
1663C2×C4—2362no—
1664C2×C4—2362no—
1665C2×C4—2362no—
1666C2×C4C2×D4×D5911yescharacteristic
1667C2×C4C2×D4×D5911yescharacteristic
1668C2×C4C2×D4×D5911yescharacteristic
1669C2×C4C2×D4×D5911yescharacteristic
1670C2×C4C2×D4×D5911yescharacteristic
1671C2×C4C24×D5911yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—1181no—
1676C8—1181no—
1677C8—1181no—
1678C8—1181no—
1679C8C2×#1174568512yes—
1680C22—21no—
1681C22—21no—
1682C22—22no—
1683C22—22no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—84no—
1695C22—84no—
1696C22—1181no—
1697C22—1181no—
1698C22—1181no—
1699C22—1181no—
1700C22—1181no—
1701C22—1181no—
1702C22—4724no—
1703C22—2361no—
1704C22—2361no—
1705C22—2361no—
1706C22#1683819812yes—
1707C22C22×D4×D5911yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—1181no—
1718C4—1181no—
1719C4—1181no—
1720C4—1181no—
1721C4—1181no—
1722C4—1181no—
1723C4—2361no—
1724C4—2361no—
1725C4—2361no—
1726C4—2361no—
1727C4—2361no—
1728C4—2361no—
1729C4—2361no—
1730C4C22×#1174568511yescharacteristic
1731C4#1683823811yescharacteristic
1732C2—22no—
1733C2—42no—
1734C2—42no—
1735C2—81no—
1736C2—81no—
1737C2—4721no—
1738C2—2361no—
1739C2—2361no—
1740C2D4×#1174568511yescharacteristic
1741C2C2×#1683819811yescharacteristic
1742C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC2×C59×#442C2
socleC22×C59C23×D4
hypercenterC2×#442D59
hypocenterC59#61454
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ C2×#442

Complements

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

NH ≅ G/Ntype
1. #21437700C2semidirect
2. #21437654C2semidirect
3. #21437167C2semidirect
4. #21437055C2semidirect
5. #21436924C2semidirect
6. #21436854C2semidirect
7. #21436601C2semidirect
8. #21436547C2semidirect
9. #21436471C2semidirect
10. #21436257C2semidirect
11. #21436173C2semidirect
12. #21436113C2semidirect
13. #21436077C2semidirect
14. #21435942C2semidirect
15. #21435927C2semidirect
16. #21435781C2semidirect
17. #21435623C2semidirect
18. #21435576C2semidirect
19. #21434823C2semidirect
20. #21434805C2semidirect
21. #21434792C2semidirect
22. #21434243C2semidirect
23. #21434234C2semidirect
24. #21434232C2semidirect
25. #21434201C2semidirect
26. #21434201C2semidirect
27. #21434195C2semidirect
28. #21433107C2semidirect
29. #21432907C2semidirect
30. #21432893C2semidirect
31. C2×C59×#442C2semidirect
34. #16838135C22semidirect
35. #16838122C22semidirect
36. #16838117C22semidirect
37. #16838111C22semidirect
38. #16838109C22semidirect
40. #16838102C22semidirect
46. #16838087C22semidirect
51. #16838056C22semidirect
52. #16838047C22semidirect
55. #16838046C22semidirect
58. #16837959C22semidirect
59. #16837949C22semidirect
61. #16837934C22semidirect
62. #16837934C22semidirect
63. #16837934C22semidirect
71. C4×#11745687C22semidirect
72. C4×#11745687C22semidirect
73. C4×#11745687C22semidirect
75. C4×D4×D59C22semidirect
77. #16837811C22semidirect
78. #16837809C22semidirect
79. #16837802C22semidirect
80. #16837796C22semidirect
82. #16837785C22semidirect
83. #16837771C22semidirect
84. #16837765C22semidirect
85. #16837762C22semidirect
86. #16837760C22semidirect
87. #16837755C22semidirect
88. #16837755C22semidirect
89. #16837746C22semidirect
90. #16837746C22semidirect
91. #16837737C22semidirect
92. #16837737C22semidirect
93. #16837734C22semidirect
94. #16837732C22semidirect
95. #16837728C22semidirect
96. #16837725C22semidirect
97. #16837725C22semidirect
98. #16837724C22semidirect
100. #16837714C22semidirect
101. #16837712C22semidirect
102. #16837712C22semidirect
103. #16837704C22semidirect
104. #16837704C22semidirect
105. #16837702C22semidirect
106. #16837702C22semidirect
107. #16837701C22semidirect
108. #16837700C22semidirect
109. #16837686C22semidirect
110. #16837682C22semidirect
111. #16837682C22semidirect
112. #16837680C22semidirect
113. #16837661C22semidirect
115. #16837647C22semidirect
116. #16837647C22semidirect
117. #16837643C22semidirect
118. #16837643C22semidirect
119. #16837637C22semidirect
120. #16837635C22semidirect
121. #16837632C22semidirect
124. #16837630C22semidirect
125. #16837623C22semidirect
126. #16837623C22semidirect
127. #16837617C22semidirect
128. #16837617C22semidirect
129. #16837616C22semidirect
132. #16837615C22semidirect
133. #16837607C22semidirect
134. #16837607C22semidirect
135. #16837601C22semidirect
137. #16837565C22semidirect
138. #16837565C22semidirect
139. #16837554C22semidirect
142. #16837553C22semidirect
143. #16837548C22semidirect
146. #16837544C22semidirect
149. #16837530C22semidirect
150. #16837530C22semidirect
152. #16837512C22semidirect
153. #16837512C22semidirect
154. #16837510C22semidirect
155. #16837510C22semidirect
156. #16837508C22semidirect
157. #16837504C22semidirect
158. #16837504C22semidirect
159. #16837502C22semidirect
160. #16837502C22semidirect
161. #16837502C22semidirect
162. #16837502C22semidirect
163. #16837502C22semidirect
164. #16837502C22semidirect
165. #16837499C22semidirect
166. #16837499C22semidirect
167. #16837493C22semidirect
168. #16837489C22semidirect
170. #16837482C22semidirect
171. #16837475C22semidirect
172. #16837475C22semidirect
175. C8×C22⋊D59C22semidirect
176. C8×C22⋊D59C22semidirect
177. #16837459C22semidirect
178. #16837457C22semidirect
179. #16837457C22semidirect
180. #16837441C22semidirect
181. #16837437C22semidirect
182. #16837405C22semidirect
183. #16837400C22semidirect
184. #16837395C22semidirect
185. #16837395C22semidirect
186. #16837354C22semidirect
187. #97×D59C22semidirect
190. C2×C4×D4×C59C22semidirect
195. C59×#442C22semidirect
196. C59×#442C22semidirect
197. C59×#442C22semidirect
198. C59×#442C22semidirect
199. C2×#106×C59C22semidirect
201. C2×#102×C59C22semidirect
202. C2×#97×C59C22semidirect
562. D8×C59#41semidirect
891. C2×#442D59semidirect
949. C2×C4×D4C2×D59semidirect
1032. #442C2×D59semidirect
1033. #442C2×D59semidirect
1034. #442C2×D59semidirect
1035. #442C2×D59semidirect
1064. C2×#106C2×D59semidirect
1070. C2×#102C2×D59semidirect
1073. C2×#97C2×D59semidirect
1074. C59#61454semidirect
1446. D8#11745685semidirect

Maximal subgroups

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

subgroupindex
#214377002
#214376542
#214371672
#214370552
#214369242
#214368542
#214366012
#214365472
#214364712
#214362572
#214361732
#214361132
#214360772
#214359422
#214359272
#214357812
#214356232
#214355762
#214348232
#214348052
#214347922
#214342432
#214342342
#214342322
#214342012
#214341952
#214331072
#214329072
#214328932
C2×C59×#4422
#6145459