Finite Group Databasebeta

← #29481264

Subgroups — #29481264

Order 15104.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438054C211yesmaximal, characteristic, complemented
2#21437708C211yesmaximal, characteristic, complemented
3#21437174C211yesmaximal, characteristic, complemented
4#21437167C211yesmaximal, characteristic, complemented
5#21436937C211yesmaximal, characteristic, complemented
6#21436871C211yesmaximal, characteristic, complemented
7#21436365C211yesmaximal, characteristic, complemented
8#21436315C211yesmaximal, characteristic, complemented
9#21436145C211yesmaximal, characteristic, complemented
10#21436113C211yesmaximal, characteristic, complemented
11#21436081C211yesmaximal, characteristic, complemented
12#21435746C211yesmaximal, characteristic, complemented
13#21435734C211yesmaximal, characteristic, complemented
14#21435671C211yesmaximal, characteristic, complemented
15#21435663C211yesmaximal, characteristic, complemented
16#21435602C211yesmaximal, characteristic, complemented
17#21435595C211yesmaximal, characteristic, complemented
18#21435491C211yesmaximal, characteristic, complemented
19#21435471C211yesmaximal, characteristic, complemented
20#21435444C211yesmaximal, characteristic, complemented
21#21435131C211yesmaximal, characteristic, complemented
22#21435100C211yesmaximal, characteristic, complemented
23#21435058C211yesmaximal, characteristic, complemented
24#21434264C211yesmaximal, characteristic, complemented
25#21434201C211yesmaximal, characteristic, complemented
26#21434179C211yesmaximal, characteristic, complemented
27#21433585C211yesmaximal, characteristic, complemented
28#21433567C211yesmaximal, characteristic, complemented
29C2×#16837623C211yesmaximal, characteristic, complemented
30#21433208C211yesmaximal, characteristic, complemented
31C59×#3306C211yesmaximal, characteristic, complemented
32C2×#14273760C2211yescharacteristic, complemented
33C2×#14273757C2211yescharacteristic, complemented
34C2×#14273756C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic
36C22×Dic236C2211yescharacteristic, complemented
37C22×#11745670C2211yescharacteristic
38#16838135C2211yescharacteristic
39#16838127C2211yescharacteristic, complemented
40#16838123—21no—
41#16838122C2211yescharacteristic, complemented
42#16838121C2211yescharacteristic
43#16838116—21no—
44#16838089—21no—
45#16838089—21no—
46#16838087C2211yescharacteristic
47#16838087C2211yescharacteristic, complemented
48#16838080—21no—
49#16838078—21no—
50D4×Dic118C2211yescharacteristic, complemented
51#16838065C2211yescharacteristic
52#16838061C2211yescharacteristic
53#16838059C2211yescharacteristic
54#16838058C2211yescharacteristic
55#16838058C2211yescharacteristic, complemented
56#16838051—21no—
57#16838049C2211yescharacteristic
58#16838039—21no—
59D4×C22⋊D59C2211yescharacteristic
60#16838020—21no—
61#16837987—21no—
62#16837984—21no—
63#16837957C2211yescharacteristic, complemented
64#16837954—21no—
65#16837948C2211yescharacteristic
66#16837938C2211yescharacteristic
67#16837934C2211yescharacteristic
68#16837933C2211yescharacteristic
69#16837933C2211yescharacteristic, complemented
70#16837933C2211yescharacteristic, complemented
71#16837929—21no—
72#16837929—21no—
73C2×#14273714C2211yescharacteristic
74#124×D59C2211yescharacteristic
75#16837875—21no—
76#41×Dic59—21no—
77C4×#11745687C2211yescharacteristic
78C4×#11745687C2211yescharacteristic, complemented
79C2×#14273692C2211yescharacteristic, complemented
80C2×#14273692C2211yescharacteristic, complemented
81#16837797C2211yescharacteristic
82#16837796C2211yescharacteristic, complemented
83#16837793C2211yescharacteristic, complemented
84#16837790C2211yescharacteristic
85#16837785C2211yescharacteristic
86#16837785C2211yescharacteristic, complemented
87#16837769C2211yescharacteristic, complemented
88#16837765C2211yescharacteristic
89#16837764C2211yescharacteristic, complemented
90#16837755C2211yescharacteristic
91#16837755C2211yescharacteristic, complemented
92#16837746C2211yescharacteristic, complemented
93#16837737C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic
95#16837715C2211yescharacteristic
96#16837712C2211yescharacteristic, complemented
97#16837712C2211yescharacteristic, complemented
98#16837712C2211yescharacteristic, complemented
99#16837712C2211yescharacteristic, complemented
100#16837707C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic
102#16837704C2211yescharacteristic, complemented
103#16837701C2211yescharacteristic, complemented
104#16837694C2211yescharacteristic, complemented
105#16837661C2211yescharacteristic, complemented
106#16837661C2211yescharacteristic, complemented
107#16837660C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic
109#16837647C2211yescharacteristic
110#16837646C2211yescharacteristic
111#16837646C2211yescharacteristic, complemented
112#16837641C2211yescharacteristic, complemented
113#16837636C2211yescharacteristic
114#16837631C2211yescharacteristic
115#16837627C2211yescharacteristic, complemented
116#16837627C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837625C2211yescharacteristic, complemented
119#16837623C2211yescharacteristic
120#16837623C2211yescharacteristic
121#16837623C2211yescharacteristic
122#16837623C2211yescharacteristic
123#16837623C2211yescharacteristic
124#16837623C2211yescharacteristic, complemented
125#16837623C2211yescharacteristic, complemented
126#16837623C2211yescharacteristic, complemented
127#16837623C2211yescharacteristic, complemented
128#16837623C2211yescharacteristic, complemented
129#16837623C2211yescharacteristic, complemented
130#16837622C2211yescharacteristic, complemented
131#16837621C2211yescharacteristic
132#16837619C2211yescharacteristic, complemented
133#16837617C2211yescharacteristic, complemented
134#16837616C2211yescharacteristic, complemented
135#16837615C2211yescharacteristic
136#16837615C2211yescharacteristic
137#16837615C2211yescharacteristic, complemented
138#16837613C2211yescharacteristic, complemented
139#16837611C2211yescharacteristic, complemented
140#16837611C2211yescharacteristic, complemented
141#16837607C2211yescharacteristic, complemented
142#16837601C2211yescharacteristic
143#16837601C2211yescharacteristic
144#16837566C2211yescharacteristic, complemented
145#16837565C2211yescharacteristic, complemented
146#16837564C2211yescharacteristic, complemented
147#16837560C2211yescharacteristic, complemented
148#16837560C2211yescharacteristic, complemented
149#16837559C2211yescharacteristic, complemented
150#16837559C2211yescharacteristic, complemented
151#16837557C2211yescharacteristic, complemented
152#16837554C2211yescharacteristic
153#16837554C2211yescharacteristic
154#16837553C2211yescharacteristic
155#16837545C2211yescharacteristic, complemented
156#16837544C2211yescharacteristic
157#16837543C2211yescharacteristic
158#16837540C2211yescharacteristic
159#16837540C2211yescharacteristic, complemented
160#16837531C2211yescharacteristic, complemented
161#16837530C2211yescharacteristic, complemented
162#16837510C2211yescharacteristic, complemented
163#16837508C2211yescharacteristic, complemented
164#16837508C2211yescharacteristic, complemented
165#16837502C2211yescharacteristic, complemented
166#16837502C2211yescharacteristic, complemented
167#16837499C2211yescharacteristic
168#16837499C2211yescharacteristic
169#16837494C2211yescharacteristic, complemented
170#16837494C2211yescharacteristic, complemented
171#16837489C2211yescharacteristic, complemented
172#16837489C2211yescharacteristic, complemented
173#16837478C2211yescharacteristic, complemented
174#16837477C2211yescharacteristic, complemented
175#16837474C2211yescharacteristic, complemented
176#16837473C2211yescharacteristic
177#16837470C2211yescharacteristic
178#16837457C2211yescharacteristic, complemented
179#16837456C2211yescharacteristic, complemented
180#16837452C2211yescharacteristic, complemented
181#16837425C2211yescharacteristic, complemented
182#16837424C2211yescharacteristic, complemented
183C2×Dic59⋊C8C2211yescharacteristic, complemented
184#16837409C2211yescharacteristic, complemented
185#16837405C2211yescharacteristic
186#16837401C2211yescharacteristic, complemented
187C2×#14273650C2211yescharacteristic, complemented
188C59×#547C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic
190C59×#489C2211yescharacteristic
191C59×#483C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic
193C59×#476C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic
195C59×#465C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic
197C59×#449C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic
203C2×#11745685C2311yescharacteristic
204C2×#11745687D411yescharacteristic
205C2×#11745687C2311yescharacteristic
206C22×Dic118C2311yescharacteristic
207C22×Dic118C2311yescharacteristic
208C22×Dic118C2311yescharacteristic
209C2×Q8×D59C2311yescharacteristic
210C22×C22⋊D59—21no—
211C2×D4×D59C2311yescharacteristic
212#14273760—42no—
213#14273757—42no—
214#14273756—42no—
215#14273751—42no—
216C2×Dic236—42no—
217C2×Dic236C2311yescharacteristic
218C2×Dic236C2311yescharacteristic
219C2×Dic236C2311yescharacteristic
220C2×Dic236C2311yescharacteristic
221C2×Dic236C2311yescharacteristic
222C2×Dic236C2311yescharacteristic
223C2×#11745672C2311yescharacteristic
224C2×#11745672C2311yescharacteristic
225C2×#11745672C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745660C2311yescharacteristic
229C2×#11745670—42no—
230C2×#11745670C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×#11745670C2311yescharacteristic
235C2×#11745670C2311yescharacteristic
236C2×#11745670C2311yescharacteristic
237C2×#11745670C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745664C2311yescharacteristic
240C2×#11745659C2311yescharacteristic
241C2×#11745659C2311yescharacteristic
242C22×C59⋊C8C2311yescharacteristic
243#14273727C2311yescharacteristic
244#14273726—21no—
245#14273726—21no—
246#14273725—21no—
247#14273725C2311yescharacteristic
248#14273723C2311yescharacteristic
249#14273722—21no—
250#14273722—21no—
251#14273722—21no—
252#14273720—21no—
253#14273720—21no—
254#14273720—21no—
255#14273720—21no—
256#14273720—21no—
257#14273720—21no—
258#14273720—21no—
259#14273720—21no—
260#14273718—21no—
261#14273718C2311yescharacteristic
262#14273718C2311yescharacteristic
263#14273718C2311yescharacteristic
264#14273717—21no—
265#14273717—21no—
266#14273717—21no—
267#14273717—21no—
268#14273716C2311yescharacteristic
269#14273715C2311yescharacteristic
270#14273714—21no—
271#14273714—21no—
272#14273714—21no—
273#14273714C2311yescharacteristic
274#14273714C2311yescharacteristic
275#14273714C2311yescharacteristic
276#14273714C2311yescharacteristic
277#14273714C2311yescharacteristic
278#14273714C2311yescharacteristic
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273713—21no—
285#14273711—21no—
286#14273710—21no—
287#14273710—21no—
288#14273710—21no—
289#14273709—21no—
290#14273709—21no—
291#14273709—21no—
292#14273708—21no—
293#14273708—21no—
294#14273708—21no—
295#14273707C2311yescharacteristic
296#14273707C2311yescharacteristic
297#14273707C2311yescharacteristic
298#14273706—21no—
299#14273706—21no—
300#14273706C2311yescharacteristic
301#14273706C2311yescharacteristic
302#14273706C2311yescharacteristic
303#14273705—21no—
304#14273705—21no—
305#14273704—21no—
306#14273704—21no—
307#14273704—21no—
308#14273704—21no—
309#14273704—21no—
310#14273704—21no—
311#14273703—21no—
312#14273701C2311yescharacteristic
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#14273698C2311yescharacteristic
322#14273696—21no—
323#14273695—21no—
324#14273695—21no—
325Q8×Dic59—21no—
326Q8×Dic59—21no—
327Q8×Dic59C2311yescharacteristic
328C4×Dic118C2311yescharacteristic
329C4×Dic118C2311yescharacteristic
330C4×Dic118C2311yescharacteristic
331#14273692—21no—
332#14273692—21no—
333#14273692—21no—
334#14273692—21no—
335#14273692D411yescharacteristic
336#14273692C2311yescharacteristic
337#14273692C2311yescharacteristic
338#14273692C2311yescharacteristic
339#14273692C2311yescharacteristic
340#14273692C2311yescharacteristic
341#14273692C2311yescharacteristic
342#14273692C2311yescharacteristic
343#14273692C2311yescharacteristic
344D4×Dic59—21no—
345D4×Dic59—21no—
346D4×Dic59—21no—
347D4×Dic59—21no—
348D4×Dic59—21no—
349D4×Dic59—21no—
350D4×Dic59D411yescharacteristic
351D4×Dic59C2311yescharacteristic
352D4×Dic59C2311yescharacteristic
353#14273689C2311yescharacteristic
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59—21no—
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59C2311yescharacteristic
361C4×C22⋊D59C2311yescharacteristic
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4D411yescharacteristic
367(C22⋊D59)⋊C4D411yescharacteristic
368#14273686—21no—
369#14273686—21no—
370#14273686—21no—
371#14273686—21no—
372#14273685—21no—
373#14273685—21no—
374#14273685D411yescharacteristic
375#14273685C2311yescharacteristic
376#14273683—21no—
377#14273683—21no—
378#14273683—21no—
379#14273683—21no—
380#14273683—21no—
381#14273683D411yescharacteristic
382#14273683D411yescharacteristic
383C2×Dic59⋊C4—21no—
384C2×Dic59⋊C4—21no—
385C2×C22⋊Dic59—21no—
386C2×C22⋊Dic59—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C2×C4×Dic59—21no—
391C2×C4×Dic59—21no—
392C2×C4×Dic59—21no—
393C2×C4×Dic59C2311yescharacteristic
394C2×C4×Dic59C2311yescharacteristic
395C42×D59C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273659C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273650C2311yescharacteristic
424#14273650C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436#14273638C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439C8×Dic59C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×#41×C59—21no—
442C2×#41×C59C2311yescharacteristic
443C22×D4×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C2×D8×C59C2311yescharacteristic
447C2×M16×C59C2311yescharacteristic
448C22×C8×C59C2311yescharacteristic
449C4⋊Q8×C59C2311yescharacteristic
450#124×C59C2311yescharacteristic
451#123×C59—21no—
452#123×C59—21no—
453#123×C59—21no—
454C22⋊Q8×C59—21no—
455C22⋊Q8×C59C2311yescharacteristic
456#121×C59—21no—
457#121×C59C2311yescharacteristic
458#121×C59C2311yescharacteristic
459#121×C59C2311yescharacteristic
460#120×C59—21no—
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464C2×C4⋊C4×C59C2311yescharacteristic
465C2×C4⋊C4×C59C2311yescharacteristic
466C2×C22⋊C4×C59—21no—
467#106×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486#41×C59—41no—
487#41×C59—41no—
488#41×C59—44no—
489C2×Q8×C59—21no—
490C2×Q8×C59C2411yescharacteristic
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—41no—
497C2×D4×C59—41no—
498C2×D4×C59C2×D411yescharacteristic
499C2×D4×C59C2411yescharacteristic
500C2×D4×C59C2411yescharacteristic
501C2×D4×C59C2411yescharacteristic
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59C2411yescharacteristic
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—44no—
517C2×C22⋊D59C2×D411yescharacteristic
518C2×C22⋊D59C2×D411yescharacteristic
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59C2×D411yescharacteristic
526C22×Dic59C2×D411yescharacteristic
527C22×Dic59C2×D411yescharacteristic
528C22×Dic59C2×D411yescharacteristic
529Q8×D59—41no—
530Q8×D59—41no—
531#11745687—22no—
532#11745687—41no—
533#11745687—42no—
534D4×D59—41no—
535D4×D59—41no—
536#11745685—41no—
537#11745685—41no—
538C2×D236C2411yescharacteristic
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59C2×D411yescharacteristic
543C2×C4×D59C2×D411yescharacteristic
544C2×C4×D59C2411yescharacteristic
545C2×Dic118—22no—
546C2×Dic118—22no—
547C2×Dic118—21no—
548C2×Dic118—21no—
549C2×Dic118—21no—
550C2×Dic118—21no—
551C2×Dic118—41no—
552C2×Dic118—41no—
553C2×Dic118—41no—
554C2×Dic118—41no—
555C2×Dic118C2×D411yescharacteristic
556C2×Dic118C2411yescharacteristic
557C2×Dic118C2411yescharacteristic
558C2×Dic118C2411yescharacteristic
559C2×Dic118C2411yescharacteristic
560C2×Dic118C2411yescharacteristic
561SD16×C59—41no—
562D8×C59—41no—
563D8×C59—41no—
564M16×C59—41no—
565C2×C8×C59—41no—
566C2×C8×C59C2411yescharacteristic
567C2×C8×C59C2411yescharacteristic
568C2×C8×C59C2411yescharacteristic
569C2×C8×C59C2411yescharacteristic
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59C2×D411yescharacteristic
575C4⋊C4×C59C2411yescharacteristic
576C4⋊C4×C59C2411yescharacteristic
577C4⋊C4×C59C2411yescharacteristic
578C4⋊C4×C59C2411yescharacteristic
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59C2×D411yescharacteristic
588C22⋊C4×C59C2×D411yescharacteristic
589C42×C59C2411yescharacteristic
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⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59C2×D411yescharacteristic
609C22⋊Dic59C2×D411yescharacteristic
610#11745672—22no—
611#11745672—41no—
612#11745672—41no—
613#11745670—22no—
614#11745670—22no—
615#11745670—41no—
616#11745670—41no—
617#11745670—41no—
618#11745670—41no—
619#11745670—41no—
620#11745670—41no—
621#11745669—41no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4C2×D411yescharacteristic
633(C2×D59)⋊C4C2×D411yescharacteristic
634C4⋊Dic59—21no—
635C4⋊Dic59—21no—
636C4⋊Dic59—21no—
637C4⋊Dic59—21no—
638C4⋊Dic59—21no—
639C4⋊Dic59—21no—
640C4⋊Dic59—21no—
641C4⋊Dic59—21no—
642C4⋊Dic59—21no—
643C4⋊Dic59C2×D411yescharacteristic
644C4⋊Dic59C2411yescharacteristic
645C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4C2×D411yescharacteristic
665Dic59⋊C4C2×D411yescharacteristic
666Dic59⋊C4C2×D411yescharacteristic
667Dic59⋊C4C2×D411yescharacteristic
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59—21no—
676C4×Dic59—21no—
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59C2×D411yescharacteristic
681C4×Dic59C2×D411yescharacteristic
682C4×Dic59C2×D411yescharacteristic
683C4×Dic59C2×D411yescharacteristic
684C4×Dic59C2×D411yescharacteristic
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2411yescharacteristic
687C4×Dic59C2411yescharacteristic
688C4×Dic59C2411yescharacteristic
689#11745664—41no—
690C2×C59⋊C8—41no—
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695Dic236—22no—
696Dic236—22no—
697Dic236—41no—
698Dic236—41no—
699Dic236—41no—
700Dic236—41no—
701#11745660—22no—
702#11745660—41no—
703#11745660—41no—
704#11745659—41no—
705#11745659—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—42no—
710C23×C59—81no—
711C23×C59—81no—
712C23×C59C22×D411yescharacteristic
713C23×C59C22×D411yescharacteristic
714C22×D59—21no—
715C22×D59—42no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59C22×D411yescharacteristic
719Q8×C59—21no—
720Q8×C59—21no—
721Q8×C59—42no—
722D4×C59—22no—
723D4×C59—21no—
724D4×C59—21no—
725D4×C59—21no—
726D4×C59—21no—
727D4×C59—21no—
728D4×C59—21no—
729D4×C59—42no—
730D4×C59—42no—
731D4×C59—81no—
732D4×C59—81no—
733D4×C59—81no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—42no—
744C2×C4×C59—42no—
745C2×C4×C59—42no—
746C2×C4×C59—81no—
747C2×C4×C59—81no—
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C2511yescharacteristic
753C22⋊D59—22no—
754C22⋊D59—41no—
755C22⋊D59—42no—
756C22⋊D59—42no—
757C22⋊D59—42no—
758C22⋊D59—42no—
759C22⋊D59—81no—
760C22⋊D59—81no—
761C22⋊D59—81no—
762C2×Dic59—22no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—41no—
771C2×Dic59—41no—
772C2×Dic59—41no—
773C2×Dic59—42no—
774C2×Dic59—42no—
775C2×Dic59—42no—
776C2×Dic59—42no—
777C2×Dic59—42no—
778C2×Dic59—81no—
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783C2×Dic59C22×D411yescharacteristic
784C2×Dic59C22×D411yescharacteristic
785C2×Dic59C22×D411yescharacteristic
786D236—21no—
787D236—21no—
788C4×D59—21no—
789C4×D59—21no—
790C4×D59—41no—
791C4×D59—41no—
792C4×D59—81no—
793C4×D59—81no—
794C4×D59—81no—
795Dic118—21no—
796Dic118—21no—
797Dic118—21no—
798Dic118—21no—
799Dic118—21no—
800Dic118—21no—
801Dic118—21no—
802Dic118—21no—
803Dic118—21no—
804Dic118—41no—
805Dic118—42no—
806Dic118—42no—
807Dic118—81no—
808Dic118—81no—
809Dic118H(5,𝔽2)12yes—
810C8×C59—21no—
811C8×C59—21no—
812C8×C59—21no—
813C8×C59—21no—
814C59⋊C8—21no—
815C59⋊C8—21no—
816C59⋊C8—21no—
817C59⋊C8—21no—
818#61972—591nomaximal, Sylow
819C22×C59—21no—
820C22×C59—21no—
821C22×C59—21no—
822C22×C59—21no—
823C22×C59—21no—
824C22×C59—41no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—162no—
834C22×C59#57512yes—
835C22×C59C23×D411yescharacteristic
836C2×D59—21no—
837C2×D59—21no—
838C2×D59—21no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—162no—
843C4×C59—21no—
844C4×C59—21no—
845C4×C59—21no—
846C4×C59—21no—
847C4×C59—41no—
848C4×C59—41no—
849C4×C59—41no—
850C4×C59—41no—
851C4×C59—41no—
852C4×C59C2×H(5,𝔽2)11yescharacteristic
853C4×C59#58511yescharacteristic
854Dic59—21no—
855Dic59—21no—
856Dic59—21no—
857Dic59—22no—
858Dic59—21no—
859Dic59—21no—
860Dic59—21no—
861Dic59—21no—
862Dic59—41no—
863Dic59—41no—
864Dic59—41no—
865Dic59—41no—
866Dic59—41no—
867Dic59—41no—
868#3514—591no—
869#3482—591no—
870#3402—591no—
871#3401—591no—
872#3377—591no—
873#3371—591no—
874#3327—591no—
875#3323—591no—
876#3312—591no—
877#3310—591no—
878#3308—591no—
879#3306D5911yescharacteristic, complemented
880#3277—591no—
881#3275—591no—
882#3270—591no—
883#3270—591no—
884#3266—591no—
885#3265—591no—
886#3256—591no—
887#3252—591no—
888#3250—591no—
889#3219—591no—
890#3215—591no—
891#3211—591no—
892#3117—591no—
893#3111—591no—
894#3108—591no—
895#3040—591no—
896#3037—591no—
897C2×#464—591no—
898#2989—591no—
899C2×C59—22no—
900C2×C59—41no—
901C2×C59—81no—
902C2×C59—81no—
903C2×C59—81no—
904C2×C59#348811yescharacteristic
905C2×C59C2×#57511yescharacteristic
906C2×C59#358611yescharacteristic
907D59—41no—
908D59—81no—
909C2×#137—591no—
910C2×#137—591no—
911C2×#137—591no—
912C2×AGL(1,ℤ/8)—591no—
913C22×Q16—591no—
914C22×SD16—591no—
915#559—591no—
916#557—591no—
917#556—591no—
918#556—591no—
919#556—1181no—
920#555—1181no—
921#552—591no—
922#552—591no—
923#552—1181no—
924#552—1181no—
925#551—1181no—
926#551—1181no—
927D4×Q8—591no—
928D4×Q8—591no—
929#548—591no—
930#548—591no—
931#548—591no—
932#548—591no—
933#547—1181no—
934#547C2×D5911yescharacteristic, complemented
935#546—591no—
936#546—1181no—
937#546C2×D5911yescharacteristic
938D42—591no—
939#542—1181no—
940#538—1181no—
941#538—1181no—
942#533—591no—
943#533—1181no—
944#532—591no—
945#529—591no—
946#529—591no—
947#529—591no—
948#529—591no—
949#529—591no—
950#529—1181no—
951#529—1181no—
952C2×#124—591no—
953C2×#124—591no—
954#518—1181no—
955C4×#41—591no—
956C4×#41—591no—
957C4×#41—1181no—
958C2×C4×Q8—591no—
959C2×C4×Q8—591no—
960#497—591no—
961#497—591no—
962#497—591no—
963#496—591no—
964#495—591no—
965#495—591no—
966#491—591no—
967#490—591no—
968#489—591no—
969#489C2×D5911yescharacteristic
970#488—591no—
971#488—591no—
972#485—591no—
973#484—591no—
974#483C2×D5911yescharacteristic, complemented
975#482—591no—
976#481C2×D5911yescharacteristic
977#480—591no—
978#479—591no—
979#479—591no—
980#479—591no—
981#479—591no—
982#479—591no—
983#478—591no—
984#478—591no—
985#478—591no—
986#477—591no—
987#476C2×D5911yescharacteristic, complemented
988#470—591no—
989#470—591no—
990#470—591no—
991#469C2×D5911yescharacteristic
992#468—591no—
993#468—591no—
994#468—591no—
995#468—591no—
996#467—591no—
997#466—591no—
998#465—591no—
999#465C2×D5911yescharacteristic, complemented
1000#464—591no—
1001#464—591no—
1002#464—591no—
1003#464—591no—
1004#464—591no—
1005#464—591no—
1006#464—591no—
1007#464—591no—
1008#464—591no—
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#464—591no—
1015#464—591no—
1016#464—591no—
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463C2×D5911yescharacteristic
1024#462—591no—
1025#462—591no—
1026#462—591no—
1027#461—591no—
1028#460—591no—
1029#460—591no—
1030#452—591no—
1031#452—591no—
1032#452—591no—
1033#451—591no—
1034#451—591no—
1035#451—591no—
1036#451—591no—
1037#451—591no—
1038#450—591no—
1039#450—591no—
1040#450—591no—
1041#449—591no—
1042#449—591no—
1043#449C2×D5911yescharacteristic, complemented
1044#448—591no—
1045#448—591no—
1046#448—591no—
1047#447C2×D5911yescharacteristic
1048#446—591no—
1049#446—591no—
1050#442C2×D5911yescharacteristic, complemented
1051#441—591no—
1052#441—591no—
1053#441—591no—
1054#440—591no—
1055#440—591no—
1056#440—591no—
1057#440—591no—
1058C4×Q16—591no—
1059C4×Q16—591no—
1060C4×SD16—591no—
1061C4×SD16—591no—
1062#436—591no—
1063#436—591no—
1064#435—591no—
1065#435—591no—
1066#435—591no—
1067#435C2×D5911yescharacteristic, complemented
1068#432—591no—
1069#432—591no—
1070#431—591no—
1071#423—591no—
1072#423—591no—
1073C2×C4⋊C8—591no—
1074#419—591no—
1075#418—591no—
1076#417—591no—
1077#417C2×D5911yescharacteristic, complemented
1078C2×#103—591no—
1079C2×#102C2×D5911yescharacteristic
1080C59#6197211yescharacteristic, complemented, Sylow
1081C2×#41—21no—
1082C2×#41—591no—
1083C2×#41—591no—
1084C2×#41—591no—
1085C2×#41C22×D5911yescharacteristic
1086C22×Q8—591no—
1087C22×Q8—591no—
1088C22×Q8—591no—
1089C22×Q8—591no—
1090C22×D4—591no—
1091C22×D4—1181no—
1092C22×D4C22×D5911yescharacteristic
1093#137—2362no—
1094#137—2362no—
1095#137—2362no—
1096AGL(1,ℤ/8)—2362no—
1097C2×Q16—591no—
1098C2×Q16—591no—
1099C2×Q16—591no—
1100C2×Q16—591no—
1101C2×Q16—591no—
1102C2×Q16—591no—
1103C2×Q16—591no—
1104C2×Q16—591no—
1105C2×Q16—591no—
1106C2×Q16—2362no—
1107C2×SD16—591no—
1108C2×SD16—591no—
1109C2×SD16—591no—
1110C2×SD16—591no—
1111C2×SD16—591no—
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16—591no—
1118C2×SD16—2362no—
1119C2×SD16C22×D5911yescharacteristic
1120C2×D8—591no—
1121C2×D8C22×D5911yescharacteristic
1122C2×D8C22×D5911yescharacteristic
1123C2×M16—591no—
1124C2×M16—591no—
1125C2×M16—591no—
1126C2×M16C22×D5911yescharacteristic
1127C22×C8—591no—
1128C22×C8C22×D5911yescharacteristic
1129C4⋊Q8—591no—
1130C4⋊Q8—591no—
1131C4⋊Q8—1181no—
1132C4⋊Q8—1181no—
1133C4⋊Q8—1181no—
1134C4⋊Q8C22×D5911yescharacteristic
1135#127—591no—
1136#126—1181no—
1137#126—1181no—
1138#126—1181no—
1139#126—1181no—
1140#126—1181no—
1141#126—1181no—
1142#126—1181no—
1143#126—1181no—
1144#126—1181no—
1145#126—1181no—
1146#126—1181no—
1147#125—591no—
1148#125—591no—
1149#125—591no—
1150#125—1181no—
1151#125—1181no—
1152#125—1181no—
1153#125—1181no—
1154#125—1181no—
1155#124—591no—
1156#124—591no—
1157#124—591no—
1158#124—591no—
1159#124—591no—
1160#124—591no—
1161#124—591no—
1162#124—591no—
1163#124—1181no—
1164#124—1181no—
1165#124—1181no—
1166#124—1181no—
1167#124—1181no—
1168#124—1181no—
1169#124—1181no—
1170#124—1181no—
1171#124—1181no—
1172#124C22×D5911yescharacteristic
1173#123—21no—
1174#123—21no—
1175#123—21no—
1176#123—1181no—
1177#123—1181no—
1178#123—1181no—
1179#123—1181no—
1180#123—1181no—
1181#123—1181no—
1182#123—1181no—
1183#123—1181no—
1184#123—1181no—
1185#123—1181no—
1186C22⋊Q8—21no—
1187C22⋊Q8—591no—
1188C22⋊Q8—591no—
1189C22⋊Q8—591no—
1190C22⋊Q8—591no—
1191C22⋊Q8—591no—
1192C22⋊Q8—591no—
1193C22⋊Q8—1181no—
1194C22⋊Q8—1181no—
1195C22⋊Q8—1181no—
1196C22⋊Q8—1181no—
1197C22⋊Q8—1181no—
1198C22⋊Q8—1181no—
1199C22⋊Q8—1181no—
1200C22⋊Q8—1181no—
1201C22⋊Q8—1181no—
1202C22⋊Q8—1181no—
1203C22⋊Q8—1181no—
1204C22⋊Q8C22×D5911yescharacteristic
1205#121—21no—
1206#121—591no—
1207#121—591no—
1208#121—1181no—
1209#121—1181no—
1210#121—1181no—
1211#121—1181no—
1212#121—1181no—
1213#121—1181no—
1214#121—1181no—
1215#121—1181no—
1216#121C22×D5911yescharacteristic
1217#121C22×D5911yescharacteristic
1218#121C22×D5911yescharacteristic
1219#120—21no—
1220#120—1181no—
1221#120—1181no—
1222#120—1181no—
1223C4×Q8—591no—
1224C4×Q8—591no—
1225C4×Q8—591no—
1226C4×Q8—591no—
1227C4×Q8—591no—
1228C4×Q8—591no—
1229C4×Q8—591no—
1230C4×Q8—591no—
1231C4×Q8—591no—
1232C4×Q8—591no—
1233C4×Q8—591no—
1234C4×Q8—591no—
1235C4×Q8—591no—
1236C4×Q8—1181no—
1237C4×Q8—1181no—
1238C4×Q8—1181no—
1239C4×Q8—1181no—
1240C4×Q8—1181no—
1241C4×Q8—1181no—
1242C4×D4—591no—
1243C4×D4—591no—
1244C4×D4—591no—
1245C4×D4—591no—
1246C4×D4—591no—
1247C4×D4—591no—
1248C4×D4—591no—
1249C4×D4—591no—
1250C4×D4—1181no—
1251C4×D4—1181no—
1252C4×D4—1181no—
1253C4×D4—1181no—
1254C4×D4—1181no—
1255C4×D4—1181no—
1256C4×D4—1181no—
1257C4×D4—1181no—
1258C4×D4—1181no—
1259C4×D4—1181no—
1260C4×D4—1181no—
1261C4×D4—1181no—
1262C4×D4—1181no—
1263C4×D4—1181no—
1264C4×D4—1181no—
1265C4×D4—1181no—
1266C4×D4C22×D5911yescharacteristic
1267C4×D4C22×D5911yescharacteristic
1268C4×D4C22×D5911yescharacteristic
1269#117—591no—
1270#117—591no—
1271#117—591no—
1272#117—591no—
1273#117—1181no—
1274#117—1181no—
1275#117—1181no—
1276#117—1181no—
1277#117—1181no—
1278#117—1181no—
1279#117—1181no—
1280#117—1181no—
1281#117—1181no—
1282#117—1181no—
1283#117—1181no—
1284C2×C4⋊C4—1181no—
1285C2×C4⋊C4—1181no—
1286C2×C4⋊C4C22×D5911yescharacteristic
1287C2×C4⋊C4C22×D5911yescharacteristic
1288C2×C22⋊C4—21no—
1289C2×C22⋊C4—1181no—
1290C2×C22⋊C4—1181no—
1291C2×C22⋊C4—1181no—
1292C2×C22⋊C4—1181no—
1293C2×C22⋊C4—1181no—
1294C2×C42—591no—
1295C2×C42—591no—
1296C2×C42—591no—
1297C2×C42—1181no—
1298C2×C42—1181no—
1299C2×C42—1181no—
1300#107—591no—
1301#107—591no—
1302#107—591no—
1303#107—591no—
1304#106—591no—
1305#106C22×D5911yescharacteristic
1306#106C22×D5911yescharacteristic
1307#106C22×D5911yescharacteristic
1308C4⋊C8—591no—
1309C4⋊C8—591no—
1310C4⋊C8—591no—
1311C4⋊C8—591no—
1312C4⋊C8—591no—
1313C4⋊C8—591no—
1314C4⋊C8—591no—
1315C4⋊C8—591no—
1316C4⋊C8—591no—
1317C4⋊C8C22×D5911yescharacteristic
1318#103—591no—
1319#103—591no—
1320#103—591no—
1321#103—591no—
1322#103—591no—
1323#103—591no—
1324#103—591no—
1325#103—591no—
1326#103—591no—
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103—591no—
1333#103C22×D5911yescharacteristic
1334#103C22×D5911yescharacteristic
1335#103C22×D5911yescharacteristic
1336#102—591no—
1337#102—591no—
1338#102—591no—
1339#102—591no—
1340#102—591no—
1341#102—591no—
1342#102—591no—
1343#102C22×D5911yescharacteristic
1344#102C22×D5911yescharacteristic
1345#102C22×D5911yescharacteristic
1346#102C22×D5911yescharacteristic
1347#102C22×D5911yescharacteristic
1348#102C22×D5911yescharacteristic
1349#102C22×D5911yescharacteristic
1350C22⋊C8—591no—
1351C22⋊C8—591no—
1352C22⋊C8—591no—
1353C22⋊C8—591no—
1354C22⋊C8C22×D5911yescharacteristic
1355C22⋊C8C22×D5911yescharacteristic
1356#97—591no—
1357#97—591no—
1358#97—591no—
1359#97C22×D5911yescharacteristic
1360C4×C8—591no—
1361C4×C8—591no—
1362C24—21no—
1363C24—1181no—
1364#41—41no—
1365#41—41no—
1366#41—44no—
1367#41—1182no—
1368#41—2361no—
1369#41—2361no—
1370#41—2362no—
1371#41—2361no—
1372C2×Q8—21no—
1373C2×Q8—591no—
1374C2×Q8—591no—
1375C2×Q8—591no—
1376C2×Q8—591no—
1377C2×Q8—591no—
1378C2×Q8—591no—
1379C2×Q8—1181no—
1380C2×Q8—1182no—
1381C2×Q8—1182no—
1382C2×Q8—1181no—
1383C2×Q8—1181no—
1384C2×Q8—1181no—
1385C2×Q8—2361no—
1386C2×Q8—2361no—
1387C2×Q8—2361no—
1388C2×Q8—2361no—
1389C2×Q8—2361no—
1390C2×Q8—2361no—
1391C2×Q8C23×D5911yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—591no—
1400C2×D4—591no—
1401C2×D4—591no—
1402C2×D4—1181no—
1403C2×D4—1181no—
1404C2×D4—1181no—
1405C2×D4—1181no—
1406C2×D4—1181no—
1407C2×D4—1181no—
1408C2×D4—1181no—
1409C2×D4—2361no—
1410C2×D4—2361no—
1411C2×D4—2364no—
1412C2×D4D4×D5911yescharacteristic
1413C2×D4C23×D5911yescharacteristic
1414C2×D4C23×D5911yescharacteristic
1415C2×D4C23×D5911yescharacteristic
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—591no—
1422C22×C4—591no—
1423C22×C4—591no—
1424C22×C4—591no—
1425C22×C4—591no—
1426C22×C4—591no—
1427C22×C4—591no—
1428C22×C4—1181no—
1429C22×C4—1181no—
1430C22×C4—1181no—
1431C22×C4—1181no—
1432C22×C4—1181no—
1433C22×C4—1181no—
1434C22×C4—1181no—
1435C22×C4—1181no—
1436C22×C4—1181no—
1437C22×C4C23×D5911yescharacteristic
1438C22×C4C23×D5911yescharacteristic
1439Q16—1182no—
1440Q16—1182no—
1441Q16—1182no—
1442Q16—2361no—
1443Q16—2361no—
1444Q16—2361no—
1445Q16—2361no—
1446Q16—2361no—
1447Q16—2361no—
1448SD16—41no—
1449SD16—1182no—
1450SD16—1182no—
1451SD16—1182no—
1452SD16—2361no—
1453SD16—2361no—
1454SD16—2361no—
1455SD16—2361no—
1456SD16—2361no—
1457SD16—2361no—
1458SD16—2361no—
1459SD16—2361no—
1460D8—41no—
1461D8—41no—
1462D8—2361no—
1463M16—41no—
1464M16—2361no—
1465M16—2361no—
1466M16—2361no—
1467C2×C8—41no—
1468C2×C8—591no—
1469C2×C8—591no—
1470C2×C8—591no—
1471C2×C8—591no—
1472C2×C8—2361no—
1473C2×C8C23×D5911yescharacteristic
1474C2×C8C23×D5911yescharacteristic
1475C2×C8C23×D5911yescharacteristic
1476C2×C8C23×D5911yescharacteristic
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—591no—
1482C4⋊C4—591no—
1483C4⋊C4—591no—
1484C4⋊C4—591no—
1485C4⋊C4—591no—
1486C4⋊C4—591no—
1487C4⋊C4—591no—
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⋊C4—1181no—
1499C4⋊C4—1181no—
1500C4⋊C4—1181no—
1501C4⋊C4—1181no—
1502C4⋊C4—1181no—
1503C4⋊C4—1181no—
1504C4⋊C4—1181no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4D4×D5911yescharacteristic
1516C4⋊C4C23×D5911yescharacteristic
1517C4⋊C4C23×D5911yescharacteristic
1518C4⋊C4C23×D5911yescharacteristic
1519C4⋊C4C23×D5911yescharacteristic
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—591no—
1529C22⋊C4—591no—
1530C22⋊C4—591no—
1531C22⋊C4—591no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C22⋊C4—1181no—
1543C22⋊C4—1181no—
1544C22⋊C4—1181no—
1545C22⋊C4—1181no—
1546C22⋊C4—1181no—
1547C22⋊C4—1181no—
1548C22⋊C4—1181no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4D4×D5911yescharacteristic
1561C22⋊C4D4×D5911yescharacteristic
1562C42—591no—
1563C42—591no—
1564C42—591no—
1565C42—591no—
1566C42—591no—
1567C42—591no—
1568C42—591no—
1569C42—591no—
1570C42—591no—
1571C42—1181no—
1572C42—1181no—
1573C42—1181no—
1574C42—1181no—
1575C42—1181no—
1576C42—1181no—
1577C42—1181no—
1578C42—1181no—
1579C42—1181no—
1580C42—1181no—
1581C42—1181no—
1582C42—1181no—
1583C42C23×D5911yescharacteristic
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—42no—
1588C23—81no—
1589C23—81no—
1590C23—591no—
1591C23—1181no—
1592C23—4721no—
1593C23—4721no—
1594C23—2362no—
1595C23C2×D4×D5911yescharacteristic
1596C23C2×D4×D5911yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—42no—
1600Q8—592no—
1601Q8—1181no—
1602Q8—1181no—
1603Q8—1181no—
1604Q8—1181no—
1605Q8—1181no—
1606Q8—1181no—
1607Q8—1181no—
1608Q8—1181no—
1609Q8—1181no—
1610Q8—4721no—
1611Q8—4721no—
1612Q8—2361no—
1613Q8—2362no—
1614Q8—2362no—
1615D4—22no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—21no—
1620D4—21no—
1621D4—21no—
1622D4—42no—
1623D4—42no—
1624D4—81no—
1625D4—81no—
1626D4—81no—
1627D4—1182no—
1628D4—1181no—
1629D4—1181no—
1630D4—4721no—
1631D4—4721no—
1632D4—4721no—
1633D4—2361no—
1634D4—2362no—
1635D4—2362no—
1636D4—2362no—
1637D4—2362no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—42no—
1648C2×C4—42no—
1649C2×C4—42no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—591no—
1653C2×C4—591no—
1654C2×C4—591no—
1655C2×C4—591no—
1656C2×C4—591no—
1657C2×C4—591no—
1658C2×C4—591no—
1659C2×C4—1182no—
1660C2×C4—1181no—
1661C2×C4—1181no—
1662C2×C4—1181no—
1663C2×C4—1181no—
1664C2×C4—1181no—
1665C2×C4—1181no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—1181no—
1669C2×C4—4721no—
1670C2×C4—4721no—
1671C2×C4—4721no—
1672C2×C4—4721no—
1673C2×C4—2361no—
1674C2×C4—2361no—
1675C2×C4—2361no—
1676C2×C4—2361no—
1677C2×C4—2361no—
1678C2×C4—2362no—
1679C2×C4—2362no—
1680C2×C4—2362no—
1681C2×C4—2362no—
1682C2×C4—2362no—
1683C2×C4C2×D4×D5911yescharacteristic
1684C2×C4C2×D4×D5911yescharacteristic
1685C2×C4C2×D4×D5911yescharacteristic
1686C2×C4C2×D4×D5911yescharacteristic
1687C2×C4C24×D5911yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—1181no—
1693C8—1181no—
1694C8—1181no—
1695C8—1181no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—162no—
1711C22—1181no—
1712C22—1181no—
1713C22—1181no—
1714C22—9442no—
1715C22—2361no—
1716C22—2361no—
1717C22—2361no—
1718C22#1683819812yes—
1719C22C22×D4×D5911yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—1181no—
1730C4—1182no—
1731C4—1181no—
1732C4—1181no—
1733C4—1181no—
1734C4—1181no—
1735C4—1181no—
1736C4—1181no—
1737C4—2361no—
1738C4—2361no—
1739C4—2361no—
1740C4—2361no—
1741C4—2361no—
1742C4—2361no—
1743C4H(5,𝔽2)×D5911yescharacteristic
1744C4#1683823811yescharacteristic
1745C2—22no—
1746C2—41no—
1747C2—81no—
1748C2—81no—
1749C2—81no—
1750C2—4721no—
1751C2—2361no—
1752C2#2143775911yescharacteristic
1753C2C2×#1683819811yescharacteristic
1754C2#2143887811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3306C2
socleC22×C59C23×D4
hypercenter#3306D59
hypocenterC59#61972
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #21438054C2semidirect
2. #21437708C2semidirect
3. #21437174C2semidirect
4. #21437167C2semidirect
5. #21436937C2semidirect
6. #21436871C2semidirect
7. #21436365C2semidirect
8. #21436315C2semidirect
9. #21436145C2semidirect
10. #21436113C2semidirect
11. #21436081C2semidirect
12. #21435746C2semidirect
13. #21435734C2semidirect
14. #21435671C2semidirect
15. #21435663C2semidirect
16. #21435602C2semidirect
17. #21435595C2semidirect
18. #21435491C2semidirect
19. #21435471C2semidirect
20. #21435444C2semidirect
21. #21435131C2semidirect
22. #21435100C2semidirect
23. #21435058C2semidirect
24. #21434264C2semidirect
25. #21434201C2semidirect
26. #21434179C2semidirect
27. #21433585C2semidirect
28. #21433567C2semidirect
29. C2×#16837623C2semidirect
30. #21433208C2semidirect
31. C59×#3306C2semidirect
32. C2×#14273760C22semidirect
33. C2×#14273757C22semidirect
34. C2×#14273756C22semidirect
36. C22×Dic236C22semidirect
39. #16838127C22semidirect
41. #16838122C22semidirect
47. #16838087C22semidirect
50. D4×Dic118C22semidirect
55. #16838058C22semidirect
63. #16837957C22semidirect
69. #16837933C22semidirect
70. #16837933C22semidirect
78. C4×#11745687C22semidirect
79. C2×#14273692C22semidirect
80. C2×#14273692C22semidirect
82. #16837796C22semidirect
83. #16837793C22semidirect
86. #16837785C22semidirect
87. #16837769C22semidirect
89. #16837764C22semidirect
91. #16837755C22semidirect
92. #16837746C22semidirect
93. #16837737C22semidirect
96. #16837712C22semidirect
97. #16837712C22semidirect
98. #16837712C22semidirect
99. #16837712C22semidirect
100. #16837707C22semidirect
102. #16837704C22semidirect
103. #16837701C22semidirect
104. #16837694C22semidirect
105. #16837661C22semidirect
106. #16837661C22semidirect
107. #16837660C22semidirect
111. #16837646C22semidirect
112. #16837641C22semidirect
115. #16837627C22semidirect
116. #16837627C22semidirect
117. #16837627C22semidirect
118. #16837625C22semidirect
124. #16837623C22semidirect
125. #16837623C22semidirect
126. #16837623C22semidirect
127. #16837623C22semidirect
128. #16837623C22semidirect
129. #16837623C22semidirect
130. #16837622C22semidirect
132. #16837619C22semidirect
133. #16837617C22semidirect
134. #16837616C22semidirect
137. #16837615C22semidirect
138. #16837613C22semidirect
139. #16837611C22semidirect
140. #16837611C22semidirect
141. #16837607C22semidirect
144. #16837566C22semidirect
145. #16837565C22semidirect
146. #16837564C22semidirect
147. #16837560C22semidirect
148. #16837560C22semidirect
149. #16837559C22semidirect
150. #16837559C22semidirect
151. #16837557C22semidirect
155. #16837545C22semidirect
159. #16837540C22semidirect
160. #16837531C22semidirect
161. #16837530C22semidirect
162. #16837510C22semidirect
163. #16837508C22semidirect
164. #16837508C22semidirect
165. #16837502C22semidirect
166. #16837502C22semidirect
169. #16837494C22semidirect
170. #16837494C22semidirect
171. #16837489C22semidirect
172. #16837489C22semidirect
173. #16837478C22semidirect
174. #16837477C22semidirect
175. #16837474C22semidirect
178. #16837457C22semidirect
179. #16837456C22semidirect
180. #16837452C22semidirect
181. #16837425C22semidirect
182. #16837424C22semidirect
183. C2×Dic59⋊C8C22semidirect
184. #16837409C22semidirect
186. #16837401C22semidirect
187. C2×#14273650C22semidirect
188. C59×#547C22semidirect
191. C59×#483C22semidirect
193. C59×#476C22semidirect
195. C59×#465C22semidirect
197. C59×#449C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
879. #3306D59semidirect
934. #547C2×D59semidirect
974. #483C2×D59semidirect
987. #476C2×D59semidirect
999. #465C2×D59semidirect
1043. #449C2×D59semidirect
1050. #442C2×D59semidirect
1067. #435C2×D59semidirect
1077. #417C2×D59semidirect
1080. C59#61972semidirect

Maximal subgroups

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

subgroupindex
#214380542
#214377082
#214371742
#214371672
#214369372
#214368712
#214363652
#214363152
#214361452
#214361132
#214360812
#214357462
#214357342
#214356712
#214356632
#214356022
#214355952
#214354912
#214354712
#214354442
#214351312
#214351002
#214350582
#214342642
#214342012
#214341792
#214335852
#214335672
C2×#168376232
#214332082
C59×#33062
#6197259