Finite Group Databasebeta

← #29483889

Subgroups — #29483889

Order 15104.

1900 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438427C211yesmaximal, characteristic, complemented
2#21438198C211yesmaximal, characteristic, complemented
3#21437181C211yesmaximal, characteristic, complemented
4#21437133C211yesmaximal, characteristic, complemented
5#21436857C211yesmaximal, characteristic, complemented
6#21436826C211yesmaximal, characteristic, complemented
7#21436331C211yesmaximal, characteristic, complemented
8#21436307C211yesmaximal, characteristic, complemented
9#21436258C211yesmaximal, characteristic, complemented
10#21436237C211yesmaximal, characteristic, complemented
11#21436121C211yesmaximal, characteristic, complemented
12#21436104C211yesmaximal, characteristic, complemented
13#21435730C211yesmaximal, characteristic, complemented
14#21435710C211yesmaximal, characteristic, complemented
15#21435682C211yesmaximal, characteristic, complemented
16#21435629C211yesmaximal, characteristic, complemented
17#21435591C211yesmaximal, characteristic, complemented
18#21435530C211yesmaximal, characteristic, complemented
19#21435502C211yesmaximal, characteristic, complemented
20#21435494C211yesmaximal, characteristic, complemented
21#21435194C211yesmaximal, characteristic, complemented
22#21435142C211yesmaximal, characteristic, complemented
23#21435110C211yesmaximal, characteristic, complemented
24#21434381C211yesmaximal, characteristic, complemented
25#21434288C211yesmaximal, characteristic, complemented
26#21434203C211yesmaximal, characteristic, complemented
27#21433639C211yesmaximal, characteristic, complemented
28#21433614C211yesmaximal, characteristic, complemented
29#21433573C211yesmaximal, characteristic, complemented
30#21433262C211yesmaximal, characteristic, complemented
31C59×#3265C211yesmaximal, characteristic, complemented
32C2×#14273758C2211yescharacteristic, complemented
33C2×#14273754C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273747C2211yescharacteristic, complemented
36#16838141—21no—
37#16838141—21no—
38#16838138C2211yescharacteristic
39#16838134—21no—
40#16838134C2211yescharacteristic, complemented
41#16838128C2211yescharacteristic, complemented
42#16838116—21no—
43#16838116C2211yescharacteristic, complemented
44#16838098—21no—
45#16838098C2211yescharacteristic, complemented
46#16838094—21no—
47#16838094C2211yescharacteristic, complemented
48#16838073C2211yescharacteristic
49#16838073C2211yescharacteristic
50#16838071C2211yescharacteristic, complemented
51#16838063C2211yescharacteristic, complemented
52#16838049—21no—
53#16838049C2211yescharacteristic
54#16838049C2211yescharacteristic
55D4×C22⋊D59—21no—
56D4×C22⋊D59C2211yescharacteristic
57D4×C22⋊D59C2211yescharacteristic
58#16838025—21no—
59#16838025C2211yescharacteristic, complemented
60#16838005—21no—
61#16838005—21no—
62#16838005C2211yescharacteristic
63#16838005C2211yescharacteristic
64#16838005C2211yescharacteristic, complemented
65#16837969—21no—
66#16837969C2211yescharacteristic
67#16837969C2211yescharacteristic
68#16837962—21no—
69#16837962—21no—
70#127×D59C2211yescharacteristic
71#16837934—21no—
72#16837934C2211yescharacteristic
73#16837934C2211yescharacteristic
74#16837931—21no—
75#16837931C2211yescharacteristic, complemented
76#16837885C2211yescharacteristic, complemented
77#16837880C2211yescharacteristic, complemented
78C4×#11745689C2211yescharacteristic, complemented
79#16837792C2211yescharacteristic, complemented
80#16837790C2211yescharacteristic, complemented
81#16837788C2211yescharacteristic, complemented
82#16837783C2211yescharacteristic, complemented
83#16837777C2211yescharacteristic, complemented
84#16837767C2211yescharacteristic, complemented
85#16837766C2211yescharacteristic
86#16837765C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837745C2211yescharacteristic, complemented
91#16837727C2211yescharacteristic, complemented
92#16837724C2211yescharacteristic
93#16837723C2211yescharacteristic, complemented
94#16837718C2211yescharacteristic, complemented
95#16837716C2211yescharacteristic, complemented
96#16837711C2211yescharacteristic, complemented
97#16837710C2211yescharacteristic, complemented
98#16837707C2211yescharacteristic, complemented
99#16837705C2211yescharacteristic, complemented
100#16837705C2211yescharacteristic, complemented
101#16837702C2211yescharacteristic, complemented
102#16837700C2211yescharacteristic, complemented
103#16837700C2211yescharacteristic, complemented
104#16837690C2211yescharacteristic, complemented
105#16837681C2211yescharacteristic, complemented
106#16837659C2211yescharacteristic, complemented
107#16837655C2211yescharacteristic, complemented
108#16837653C2211yescharacteristic, complemented
109#16837653C2211yescharacteristic, complemented
110#16837652C2211yescharacteristic
111#16837647C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic
113#16837638C2211yescharacteristic, complemented
114#16837636C2211yescharacteristic, complemented
115#16837633C2211yescharacteristic, complemented
116#16837622C2211yescharacteristic, complemented
117#16837622C2211yescharacteristic, complemented
118#16837622C2211yescharacteristic, complemented
119#16837622C2211yescharacteristic, complemented
120#16837622C2211yescharacteristic, complemented
121#16837621C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837616C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837615C2211yescharacteristic, complemented
127#16837602C2211yescharacteristic, complemented
128#16837600C2211yescharacteristic, complemented
129#16837600C2211yescharacteristic, complemented
130#16837600C2211yescharacteristic, complemented
131#16837600C2211yescharacteristic, complemented
132#16837600C2211yescharacteristic, complemented
133#16837600C2211yescharacteristic, complemented
134#16837600C2211yescharacteristic, complemented
135#16837598C2211yescharacteristic, complemented
136#16837596C2211yescharacteristic, complemented
137#16837596C2211yescharacteristic, complemented
138#16837596C2211yescharacteristic, complemented
139#16837595C2211yescharacteristic, complemented
140#16837595C2211yescharacteristic, complemented
141#16837595C2211yescharacteristic, complemented
142#16837595C2211yescharacteristic, complemented
143#16837594C2211yescharacteristic
144#16837567C2211yescharacteristic, complemented
145#16837562C2211yescharacteristic, complemented
146#16837551C2211yescharacteristic, complemented
147#16837551C2211yescharacteristic, complemented
148#16837549C2211yescharacteristic, complemented
149#16837549C2211yescharacteristic, complemented
150#16837547C2211yescharacteristic, complemented
151#16837546C2211yescharacteristic
152#16837545C2211yescharacteristic, complemented
153#16837541C2211yescharacteristic, complemented
154#16837536C2211yescharacteristic, complemented
155#16837536C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837531C2211yescharacteristic, complemented
159#16837530C2211yescharacteristic, complemented
160#16837512C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic, complemented
162#16837507C2211yescharacteristic, complemented
163#16837505C2211yescharacteristic, complemented
164#16837504C2211yescharacteristic, complemented
165#16837503C2211yescharacteristic, complemented
166#16837503C2211yescharacteristic, complemented
167SD16×Dic59C2211yescharacteristic, complemented
168#16837487C2211yescharacteristic, complemented
169#16837487C2211yescharacteristic, complemented
170D8×Dic59C2211yescharacteristic, complemented
171#16837478C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837474C2211yescharacteristic, complemented
174#16837473C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837460C2211yescharacteristic, complemented
177#16837460C2211yescharacteristic, complemented
178#16837457C2211yescharacteristic, complemented
179#16837430C2211yescharacteristic, complemented
180#16837428C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837407C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic, complemented
184#16837405C2211yescharacteristic, complemented
185#16837404C2211yescharacteristic, complemented
186#16837399C2211yescharacteristic, complemented
187C2×#14273648C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C22×SD16×C59C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic
192C59×#496C2211yescharacteristic
193C59×#468C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic
197C59×#450C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#448C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C22×C22⋊D59—21no—
208C22×C22⋊D59—21no—
209C2×D4×D59—21no—
210C2×D4×D59—21no—
211C2×D4×D59C2311yescharacteristic
212C2×D4×D59C2311yescharacteristic
213#14273758—42no—
214#14273754—42no—
215#14273754—42no—
216#14273747—42no—
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×D472C2311yescharacteristic
226C2×D472C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745664C2311yescharacteristic
233C2×#11745659C2311yescharacteristic
234C2×#11745659C2311yescharacteristic
235C22×C59⋊C8C2311yescharacteristic
236#14273726—21no—
237#14273726C2311yescharacteristic
238#14273724C2311yescharacteristic
239#14273723—21no—
240#14273723—21no—
241#14273723—21no—
242#14273723—21no—
243#14273723C2311yescharacteristic
244#14273723C2311yescharacteristic
245#14273723C2311yescharacteristic
246#14273723C2311yescharacteristic
247#14273723C2311yescharacteristic
248#14273722—21no—
249#14273722—21no—
250#14273722—21no—
251#14273720—21no—
252#14273720—21no—
253#14273720D411yescharacteristic
254#14273720D411yescharacteristic
255#14273719—21no—
256#14273719C2311yescharacteristic
257#14273718—21no—
258#14273718—21no—
259#14273718D411yescharacteristic
260#14273718C2311yescharacteristic
261#14273718C2311yescharacteristic
262#14273716—21no—
263#14273716C2311yescharacteristic
264#14273714—21no—
265#14273714—21no—
266#14273714D411yescharacteristic
267#14273714C2311yescharacteristic
268#14273714C2311yescharacteristic
269#14273714C2311yescharacteristic
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273711—21no—
274#14273711—21no—
275#14273711—21no—
276#14273711—21no—
277#14273711—21no—
278#14273709—21no—
279#14273709—21no—
280#14273709—21no—
281#14273709—21no—
282#14273709—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709D411yescharacteristic
289#14273709D411yescharacteristic
290#14273708—21no—
291#14273708—21no—
292#14273707—21no—
293#14273707D411yescharacteristic
294#14273707C2311yescharacteristic
295#14273703—21no—
296#14273703C2311yescharacteristic
297#14273701—21no—
298#14273701—21no—
299#14273701—21no—
300#14273701C2311yescharacteristic
301#14273701C2311yescharacteristic
302#14273701C2311yescharacteristic
303#14273701C2311yescharacteristic
304#14273700—21no—
305#14273700—21no—
306#14273700—21no—
307#14273700—21no—
308#14273699—21no—
309#14273699—21no—
310#14273699—21no—
311#14273699—21no—
312#14273699—21no—
313#14273699—21no—
314#14273699—21no—
315#14273698—21no—
316#14273698—21no—
317#14273698—21no—
318#14273698—21no—
319#14273698—21no—
320#14273698—21no—
321#14273698—21no—
322#14273698—21no—
323#14273698—21no—
324#14273698—21no—
325#14273698D411yescharacteristic
326#14273698C2311yescharacteristic
327#14273698C2311yescharacteristic
328#14273696—21no—
329#14273696—21no—
330#14273696—21no—
331#14273696—21no—
332#14273696—21no—
333#14273696—21no—
334#14273695—21no—
335#14273695—21no—
336#14273695—21no—
337#14273695—21no—
338Q8×Dic59—21no—
339Q8×Dic59—21no—
340Q8×Dic59C2311yescharacteristic
341Q8×Dic59C2311yescharacteristic
342Q8×Dic59C2311yescharacteristic
343Q8×Dic59C2311yescharacteristic
344Q8×Dic59C2311yescharacteristic
345C4×Dic118—21no—
346C4×Dic118C2311yescharacteristic
347C4×Dic118C2311yescharacteristic
348C4×D236—21no—
349C4×D236C2311yescharacteristic
350D4×Dic59—21no—
351D4×Dic59—21no—
352D4×Dic59—21no—
353D4×Dic59C2311yescharacteristic
354D4×Dic59C2311yescharacteristic
355D4×Dic59C2311yescharacteristic
356D4×Dic59C2311yescharacteristic
357#14273689—21no—
358#14273689—21no—
359#14273689C2311yescharacteristic
360#14273689C2311yescharacteristic
361#14273689C2311yescharacteristic
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59—21no—
365C4×C22⋊D59C2311yescharacteristic
366C4×C22⋊D59C2311yescharacteristic
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4—21no—
369(C22⋊D59)⋊C4—21no—
370#14273686—21no—
371#14273686—21no—
372#14273686—21no—
373#14273686—21no—
374#14273686C2311yescharacteristic
375#14273686C2311yescharacteristic
376#14273686C2311yescharacteristic
377#14273685—21no—
378#14273685C2311yescharacteristic
379#14273683—21no—
380#14273683—21no—
381#14273683—21no—
382C2×C4⋊Dic59—21no—
383C2×C4⋊Dic59C2311yescharacteristic
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C42×D59—21no—
387C42×D59C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273661C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434#14273638C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C22×Q8×C59C2311yescharacteristic
441C22×D4×C59—21no—
442C22×D4×C59C2311yescharacteristic
443C22×D4×C59C2311yescharacteristic
444AGL(1,ℤ/8)×C59—42no—
445C2×SD16×C59—42no—
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×D8×C59C2311yescharacteristic
455C2×M16×C59C2311yescharacteristic
456C22×C8×C59C2311yescharacteristic
457#127×C59C2311yescharacteristic
458#124×C59—21no—
459#124×C59C2311yescharacteristic
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic
462#121×C59—21no—
463#121×C59—21no—
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467#120×C59—21no—
468#120×C59—21no—
469C4×Q8×C59C2311yescharacteristic
470C4×D4×C59—21no—
471C4×D4×C59C2311yescharacteristic
472C4×D4×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×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—
485C24×C59—21no—
486C23×D59—21no—
487C23×D59—21no—
488#41×C59—22no—
489#41×C59—41no—
490C2×Q8×C59—21no—
491C2×Q8×C59—22no—
492C2×Q8×C59—41no—
493C2×Q8×C59C2411yescharacteristic
494C2×Q8×C59C2411yescharacteristic
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—41no—
504C2×D4×C59—41no—
505C2×D4×C59—41no—
506C2×D4×C59—41no—
507C2×D4×C59—82no—
508C2×D4×C59C2×D411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59C2411yescharacteristic
517C22×C4×C59C2411yescharacteristic
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—21no—
538C2×C22⋊D59—82no—
539C2×C22⋊D59—82no—
540C2×C22⋊D59C2×D411yescharacteristic
541C2×C22⋊D59C2×D411yescharacteristic
542C22×Dic59—21no—
543C22×Dic59—21no—
544C22×Dic59—21no—
545C22×Dic59—21no—
546C22×Dic59—21no—
547#11745689—22no—
548#11745689—41no—
549D4×D59—41no—
550D4×D59—41no—
551D4×D59—41no—
552D4×D59—41no—
553D4×D59—82no—
554D4×D59—82no—
555#11745685—41no—
556#11745685—41no—
557#11745685—41no—
558#11745685—41no—
559#11745685—82no—
560C2×D236—21no—
561C2×D236—21no—
562C2×D236—21no—
563C2×D236C2411yescharacteristic
564C2×D236C2411yescharacteristic
565C2×D236C2411yescharacteristic
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59C2×D411yescharacteristic
574C2×C4×D59C2×D411yescharacteristic
575C2×C4×D59C2411yescharacteristic
576C2×Dic118—21no—
577C2×Dic118C2×D411yescharacteristic
578C2×Dic118C2411yescharacteristic
579SD16×C59—22no—
580SD16×C59—22no—
581SD16×C59—22no—
582SD16×C59—41no—
583SD16×C59—41no—
584SD16×C59—41no—
585D8×C59—41no—
586D8×C59—41no—
587D8×C59—41no—
588M16×C59—41no—
589C2×C8×C59—41no—
590C2×C8×C59C2411yescharacteristic
591C2×C8×C59C2411yescharacteristic
592C2×C8×C59C2411yescharacteristic
593C2×C8×C59C2411yescharacteristic
594C4⋊C4×C59—21no—
595C4⋊C4×C59—21no—
596C4⋊C4×C59C2×D411yescharacteristic
597C4⋊C4×C59C2411yescharacteristic
598C4⋊C4×C59C2411yescharacteristic
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59C2×D411yescharacteristic
607C22⋊C4×C59C2×D411yescharacteristic
608C42×C59—21no—
609C42×C59C2411yescharacteristic
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59C2×D411yescharacteristic
624C22⋊Dic59C2×D411yescharacteristic
625C22⋊Dic59C2×D411yescharacteristic
626C22⋊Dic59C2×D411yescharacteristic
627C22⋊Dic59C2×D411yescharacteristic
628C22⋊Dic59C2×D411yescharacteristic
629#11745672—22no—
630#11745672—41no—
631#11745671—22no—
632#11745671—22no—
633#11745671—41no—
634#11745671—41no—
635#11745670—41no—
636#11745669—41no—
637#11745669—41no—
638#11745669—41no—
639#11745669—41no—
640#11745669—41no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656C4⋊Dic59—21no—
657C4⋊Dic59—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59C2×D411yescharacteristic
666C4⋊Dic59C2×D411yescharacteristic
667C4⋊Dic59C2×D411yescharacteristic
668C4⋊Dic59C2×D411yescharacteristic
669C4⋊Dic59C2×D411yescharacteristic
670C4⋊Dic59C2411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672C4⋊Dic59C2411yescharacteristic
673C4⋊Dic59C2411yescharacteristic
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684Dic59⋊C4C2×D411yescharacteristic
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59—21no—
692C4×Dic59—21no—
693C4×Dic59C2×D411yescharacteristic
694C4×Dic59C2×D411yescharacteristic
695C4×Dic59C2411yescharacteristic
696C4×Dic59C2411yescharacteristic
697C4×Dic59C2411yescharacteristic
698#11745664—41no—
699C2×C59⋊C8—41no—
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704D472—41no—
705D472—41no—
706#11745660—41no—
707#11745659—41no—
708#11745659—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C23×C59—81no—
714C23×C59—81no—
715C23×C59—81no—
716C23×C59—81no—
717C23×C59—81no—
718C23×C59—81no—
719C23×C59C22×D411yescharacteristic
720C23×C59C22×D411yescharacteristic
721C22×D59—21no—
722C22×D59—21no—
723C22×D59—21no—
724C22×D59—42no—
725C22×D59—42no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—81no—
730C22×D59C22×D411yescharacteristic
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—21no—
734Q8×C59—42no—
735Q8×C59H(5,𝔽2)12yes—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—21no—
744D4×C59—41no—
745D4×C59—42no—
746D4×C59—42no—
747D4×C59—81no—
748D4×C59—81no—
749D4×C59—81no—
750D4×C59—81no—
751D4×C59—81no—
752D4×C59—81no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—42no—
762C2×C4×C59—42no—
763C2×C4×C59—42no—
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C22×D411yescharacteristic
767C2×C4×C59C22×D411yescharacteristic
768C2×C4×C59C2511yescharacteristic
769C22⋊D59—41no—
770C22⋊D59—41no—
771C22⋊D59—42no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C22⋊D59—81no—
781C22⋊D59—81no—
782C22⋊D59—81no—
783C22⋊D59—81no—
784C22⋊D59—81no—
785C22⋊D59—81no—
786C22⋊D59—81no—
787C22⋊D59—81no—
788C22⋊D59—81no—
789C22⋊D59—81no—
790C22⋊D59—81no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—81no—
797C2×Dic59—81no—
798C2×Dic59—81no—
799C2×Dic59—81no—
800C2×Dic59—81no—
801C2×Dic59C22×D411yescharacteristic
802C2×Dic59C22×D411yescharacteristic
803C2×Dic59C22×D411yescharacteristic
804C2×Dic59C22×D411yescharacteristic
805C2×Dic59C22×D411yescharacteristic
806C2×Dic59C22×D411yescharacteristic
807C2×Dic59C22×D411yescharacteristic
808D236—21no—
809D236—21no—
810D236—21no—
811D236—21no—
812D236—21no—
813D236—21no—
814D236—42no—
815D236—42no—
816D236—81no—
817C4×D59—21no—
818C4×D59—21no—
819C4×D59—41no—
820C4×D59—41no—
821C4×D59—42no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825C4×D59—81no—
826C4×D59—81no—
827C4×D59—81no—
828Dic118—21no—
829Dic118—21no—
830Dic118—41no—
831Dic118—81no—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62081—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—21no—
845C22×C59—21no—
846C22×C59—21no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—162no—
860C22×C59—162no—
861C22×C59C23×D411yescharacteristic
862C2×D59—21no—
863C2×D59—21no—
864C2×D59—21no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—162no—
875C2×D59—162no—
876C4×C59—21no—
877C4×C59—21no—
878C4×C59—22no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—41no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59C2×H(5,𝔽2)11yescharacteristic
885C4×C59#58511yescharacteristic
886Dic59—21no—
887Dic59—21no—
888Dic59—21no—
889Dic59—21no—
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—41no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898#3543—591no—
899#3524—591no—
900#3403—591no—
901#3399—591no—
902#3371—591no—
903#3368—591no—
904#3325—591no—
905#3323—591no—
906#3319—591no—
907#3318—591no—
908#3310—591no—
909#3309—591no—
910#3275—591no—
911#3274—591no—
912#3271—591no—
913#3268—591no—
914#3265—591no—
915#3265D5911yescharacteristic, complemented
916#3259—591no—
917#3257—591no—
918#3256—591no—
919#3224—591no—
920#3220—591no—
921#3217—591no—
922#3126—591no—
923#3119—591no—
924#3111—591no—
925#3045—591no—
926#3043—591no—
927#3038—591no—
928#2995—591no—
929C2×C59—41no—
930C2×C59—41no—
931C2×C59—81no—
932C2×C59—81no—
933C2×C59—81no—
934C2×C59—81no—
935C2×C59#348811yescharacteristic
936C2×C59#358511yescharacteristic
937C2×C59#358511yescharacteristic
938D59—41no—
939D59—81no—
940D59—81no—
941D59—81no—
942C2×#137—591no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
946C2×#135—591no—
947C22×SD16C2×D5911yescharacteristic, complemented
948#560—1181no—
949#560—1181no—
950#559—591no—
951#559—591no—
952#559—1181no—
953#557—591no—
954#555—591no—
955#555—1181no—
956#553—591no—
957#553—1181no—
958#552—591no—
959#552—1181no—
960#550—591no—
961#550—591no—
962#550—591no—
963#548—591no—
964#548C2×D5911yescharacteristic, complemented
965#546—591no—
966#546—591no—
967#546—1181no—
968D42—591no—
969D42—591no—
970D42—1181no—
971D42C2×D5911yescharacteristic
972#542—591no—
973#542—1181no—
974#540—591no—
975#540—591no—
976#540—591no—
977#540—1181no—
978#540—1181no—
979#535—591no—
980#535—591no—
981#535—1181no—
982#534—1181no—
983#534—1181no—
984C2×#127—591no—
985#529—591no—
986#529—591no—
987#529—591no—
988#529—1181no—
989#529—1181no—
990#520—591no—
991#519—591no—
992C4×#41—591no—
993#496—591no—
994#496—591no—
995#496—591no—
996#496C2×D5911yescharacteristic
997#495—591no—
998#493—591no—
999#490—591no—
1000#490—591no—
1001#490—591no—
1002#489—591no—
1003#488—591no—
1004#486—591no—
1005#485—591no—
1006#482—591no—
1007#482—591no—
1008#482—591no—
1009#481—591no—
1010#480—591no—
1011#479—591no—
1012#479—591no—
1013#479—591no—
1014#478—591no—
1015#478—591no—
1016#478—591no—
1017#478—591no—
1018#478—591no—
1019#476—591no—
1020#474—591no—
1021#470—591no—
1022#469—591no—
1023#469—591no—
1024#469—591no—
1025#469—591no—
1026#468—591no—
1027#468—591no—
1028#468C2×D5911yescharacteristic, complemented
1029#466—591no—
1030#466—591no—
1031#466C2×D5911yescharacteristic, complemented
1032#465—591no—
1033#464—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464—591no—
1038#464—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463C2×D5911yescharacteristic, complemented
1045#460—591no—
1046#460—591no—
1047#460—591no—
1048#460—591no—
1049#460—591no—
1050#460—591no—
1051#460—591no—
1052#460—591no—
1053#460C2×D5911yescharacteristic
1054#459—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459—591no—
1062#459—591no—
1063#452—591no—
1064#452—591no—
1065#450—591no—
1066#450—591no—
1067#450C2×D5911yescharacteristic, complemented
1068#449—591no—
1069#449—591no—
1070#449—591no—
1071#449—591no—
1072#449—591no—
1073#449C2×D5911yescharacteristic, complemented
1074#448—591no—
1075#448C2×D5911yescharacteristic, complemented
1076#447—591no—
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#447C2×D5911yescharacteristic, complemented
1081#446—591no—
1082#446—591no—
1083#442—591no—
1084#442—591no—
1085#441—591no—
1086#440—591no—
1087#440—591no—
1088#440—591no—
1089#440—591no—
1090#440C2×D5911yescharacteristic, complemented
1091C4×SD16—591no—
1092C4×SD16—591no—
1093C4×SD16—591no—
1094C4×D8—591no—
1095#436—591no—
1096#436—591no—
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#435C2×D5911yescharacteristic, complemented
1101#433—591no—
1102#433—591no—
1103#432—591no—
1104#424—591no—
1105#424—591no—
1106#423—591no—
1107#418—591no—
1108#418—591no—
1109#418—591no—
1110#417—591no—
1111#416—591no—
1112C2×#102—591no—
1113C59#6208111yescharacteristic, complemented, Sylow
1114C2×#41—591no—
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—1181no—
1118C2×#41C22×D5911yescharacteristic
1119C22×Q8C22×D5911yescharacteristic
1120C22×D4—21no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—1181no—
1124C22×D4—1181no—
1125C22×D4—1181no—
1126C22×D4—1181no—
1127C22×D4C22×D5911yescharacteristic
1128C22×D4C22×D5911yescharacteristic
1129#137—2362no—
1130AGL(1,ℤ/8)—42no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133#135—2362no—
1134C2×Q16—591no—
1135C2×Q16—591no—
1136C2×SD16—42no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16C22×D5911yescharacteristic
1144C2×SD16C22×D5911yescharacteristic
1145C2×SD16C22×D5911yescharacteristic
1146C2×SD16C22×D5911yescharacteristic
1147C2×SD16C22×D5911yescharacteristic
1148C2×SD16C22×D5911yescharacteristic
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8C22×D5911yescharacteristic
1157C2×D8C22×D5911yescharacteristic
1158C2×D8C22×D5911yescharacteristic
1159C2×M16—591no—
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16C22×D5911yescharacteristic
1163C22×C8—591no—
1164C22×C8C22×D5911yescharacteristic
1165C4⋊Q8—591no—
1166C4⋊Q8—1181no—
1167#127—591no—
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—591no—
1173#127—1181no—
1174#127—1181no—
1175#127—1181no—
1176#127—1181no—
1177#127C22×D5911yescharacteristic
1178#126—591no—
1179#126—591no—
1180#126—1181no—
1181#126—1181no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#125—591no—
1186#125—591no—
1187#125—591no—
1188#125—591no—
1189#125—1181no—
1190#125—1181no—
1191#125—1181no—
1192#124—21no—
1193#124—591no—
1194#124—591no—
1195#124—591no—
1196#124—591no—
1197#124—591no—
1198#124—1181no—
1199#124—1181no—
1200#124—1181no—
1201#124—1181no—
1202#124—1181no—
1203#124—1181no—
1204#124C22×D5911yescharacteristic
1205#123—591no—
1206#123—591no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224C22⋊Q8—21no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8C22×D5911yescharacteristic
1231#121—21no—
1232#121—21no—
1233#121—591no—
1234#121—591no—
1235#121—591no—
1236#121—591no—
1237#121—591no—
1238#121—591no—
1239#121—591no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121C22×D5911yescharacteristic
1265#121C22×D5911yescharacteristic
1266#121C22×D5911yescharacteristic
1267#120—21no—
1268#120—21no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279C4×Q8—591no—
1280C4×Q8—591no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—591no—
1284C4×Q8—591no—
1285C4×Q8—591no—
1286C4×Q8—1181no—
1287C4×Q8—1181no—
1288C4×Q8—1181no—
1289C4×Q8C22×D5911yescharacteristic
1290C4×D4—21no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—591no—
1300C4×D4—591no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4—1181no—
1311C4×D4—1181no—
1312C4×D4—1181no—
1313C4×D4C22×D5911yescharacteristic
1314C4×D4C22×D5911yescharacteristic
1315#117—591no—
1316#117—591no—
1317#117—591no—
1318#117—591no—
1319#117—1181no—
1320#117—1181no—
1321#117—1181no—
1322#117—1181no—
1323#117—1181no—
1324#117—1181no—
1325#117—1181no—
1326#117—1181no—
1327C2×C4⋊C4—591no—
1328C2×C4⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C42—591no—
1332C2×C42—1181no—
1333#107—591no—
1334#107—591no—
1335#107—591no—
1336#107C22×D5911yescharacteristic
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341C4⋊C8—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8—591no—
1349C4⋊C8—591no—
1350C4⋊C8C22×D5911yescharacteristic
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103C22×D5911yescharacteristic
1358#103C22×D5911yescharacteristic
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382#102C22×D5911yescharacteristic
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8C22×D5911yescharacteristic
1388C22⋊C8C22×D5911yescharacteristic
1389#97—591no—
1390#97—591no—
1391#97—591no—
1392#97C22×D5911yescharacteristic
1393C4×C8—591no—
1394C4×C8—591no—
1395C24—21no—
1396C24—21no—
1397C24—1181no—
1398C24—1181no—
1399#41—22no—
1400#41—41no—
1401#41—1182no—
1402#41—4722no—
1403#41—2361no—
1404#41—2361no—
1405#41—2361no—
1406#41—2361no—
1407#41—2361no—
1408C2×Q8—21no—
1409C2×Q8—22no—
1410C2×Q8—41no—
1411C2×Q8—591no—
1412C2×Q8—591no—
1413C2×Q8—1181no—
1414C2×Q8C23×D5911yescharacteristic
1415C2×Q8C23×D5911yescharacteristic
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—41no—
1425C2×D4—41no—
1426C2×D4—41no—
1427C2×D4—41no—
1428C2×D4—82no—
1429C2×D4—591no—
1430C2×D4—591no—
1431C2×D4—591no—
1432C2×D4—591no—
1433C2×D4—591no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—4722no—
1458C2×D4—4722no—
1459C2×D4—4722no—
1460C2×D4—4722no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4—2361no—
1465C2×D4D4×D5911yescharacteristic
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C2×D4C23×D5911yescharacteristic
1469C2×D4C23×D5911yescharacteristic
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—591no—
1474C22×C4—591no—
1475C22×C4—591no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4C23×D5911yescharacteristic
1489C22×C4C23×D5911yescharacteristic
1490Q16—1182no—
1491Q16—2361no—
1492SD16—22no—
1493SD16—22no—
1494SD16—22no—
1495SD16—41no—
1496SD16—41no—
1497SD16—41no—
1498SD16—1182no—
1499SD16—1182no—
1500SD16—2361no—
1501SD16—2361no—
1502SD16—2361no—
1503SD16—2361no—
1504D8—41no—
1505D8—41no—
1506D8—41no—
1507D8—2361no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513D8—2361no—
1514M16—41no—
1515M16—2361no—
1516M16—2361no—
1517M16—2361no—
1518C2×C8—41no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—591no—
1523C2×C8—2361no—
1524C2×C8C23×D5911yescharacteristic
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C2×C8C23×D5911yescharacteristic
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—591no—
1531C4⋊C4—591no—
1532C4⋊C4—591no—
1533C4⋊C4—591no—
1534C4⋊C4—591no—
1535C4⋊C4—591no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—591no—
1542C4⋊C4—591no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4—1181no—
1558C4⋊C4—1181no—
1559C4⋊C4D4×D5911yescharacteristic
1560C4⋊C4C23×D5911yescharacteristic
1561C4⋊C4C23×D5911yescharacteristic
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—591no—
1570C22⋊C4—591no—
1571C22⋊C4—591no—
1572C22⋊C4—591no—
1573C22⋊C4—591no—
1574C22⋊C4—591no—
1575C22⋊C4—591no—
1576C22⋊C4—591no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4D4×D5911yescharacteristic
1604C22⋊C4D4×D5911yescharacteristic
1605C42—21no—
1606C42—591no—
1607C42—591no—
1608C42—591no—
1609C42—591no—
1610C42—591no—
1611C42—1181no—
1612C42—1181no—
1613C42—1181no—
1614C42—1181no—
1615C42—1181no—
1616C42—1181no—
1617C42—1181no—
1618C42—1181no—
1619C42C23×D5911yescharacteristic
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—81no—
1625C23—81no—
1626C23—81no—
1627C23—81no—
1628C23—81no—
1629C23—81no—
1630C23—591no—
1631C23—1181no—
1632C23—1181no—
1633C23—1181no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—2362no—
1639C23—2362no—
1640C23C2×D4×D5911yescharacteristic
1641C23C2×D4×D5911yescharacteristic
1642Q8—21no—
1643Q8—21no—
1644Q8—21no—
1645Q8—42no—
1646Q8—1181no—
1647Q8—1181no—
1648Q8—4721no—
1649Q8—2361no—
1650Q8#1427377212yes—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—41no—
1660D4—42no—
1661D4—42no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4—81no—
1666D4—81no—
1667D4—81no—
1668D4—1181no—
1669D4—1181no—
1670D4—1181no—
1671D4—1181no—
1672D4—1181no—
1673D4—1181no—
1674D4—4721no—
1675D4—4721no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—4721no—
1687D4—4721no—
1688D4—4721no—
1689D4—4721no—
1690D4—4721no—
1691D4—4721no—
1692D4—4721no—
1693D4—4721no—
1694D4—2362no—
1695D4—2362no—
1696D4—2361no—
1697D4—2361no—
1698D4—2362no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—42no—
1708C2×C4—42no—
1709C2×C4—42no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—591no—
1714C2×C4—591no—
1715C2×C4—591no—
1716C2×C4—591no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—4721no—
1732C2×C4—4721no—
1733C2×C4—4721no—
1734C2×C4—4721no—
1735C2×C4—2361no—
1736C2×C4—2361no—
1737C2×C4—2362no—
1738C2×C4C2×D4×D5911yescharacteristic
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C2×D4×D5911yescharacteristic
1742C2×C4C24×D5911yescharacteristic
1743C8—21no—
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—1181no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—21no—
1756C22—21no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—162no—
1770C22—162no—
1771C22—1181no—
1772C22—1181no—
1773C22—1181no—
1774C22—9442no—
1775C22—9442no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22C22×D4×D5911yescharacteristic
1786C4—21no—
1787C4—21no—
1788C4—22no—
1789C4—21no—
1790C4—21no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—1181no—
1795C4—1181no—
1796C4—1181no—
1797C4—1181no—
1798C4—1181no—
1799C4—1181no—
1800C4—1181no—
1801C4—2361no—
1802C4—2361no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4C2×#1427377211yescharacteristic
1807C4#1683823711yescharacteristic
1808C2—41no—
1809C2—41no—
1810C2—81no—
1811C2—81no—
1812C2—81no—
1813C2—81no—
1814C2—4721no—
1815C2—4721no—
1816C2—4721no—
1817C2—2361no—
1818C2#2143775611yescharacteristic
1819C2#2143887211yescharacteristic
1820C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3265C2
socleC22×C59C23×D4
hypercenter#3265D59
hypocenterC59#62081
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #21438427C2semidirect
2. #21438198C2semidirect
3. #21437181C2semidirect
4. #21437133C2semidirect
5. #21436857C2semidirect
6. #21436826C2semidirect
7. #21436331C2semidirect
8. #21436307C2semidirect
9. #21436258C2semidirect
10. #21436237C2semidirect
11. #21436121C2semidirect
12. #21436104C2semidirect
13. #21435730C2semidirect
14. #21435710C2semidirect
15. #21435682C2semidirect
16. #21435629C2semidirect
17. #21435591C2semidirect
18. #21435530C2semidirect
19. #21435502C2semidirect
20. #21435494C2semidirect
21. #21435194C2semidirect
22. #21435142C2semidirect
23. #21435110C2semidirect
24. #21434381C2semidirect
25. #21434288C2semidirect
26. #21434203C2semidirect
27. #21433639C2semidirect
28. #21433614C2semidirect
29. #21433573C2semidirect
30. #21433262C2semidirect
31. C59×#3265C2semidirect
32. C2×#14273758C22semidirect
33. C2×#14273754C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273747C22semidirect
40. #16838134C22semidirect
41. #16838128C22semidirect
43. #16838116C22semidirect
45. #16838098C22semidirect
47. #16838094C22semidirect
50. #16838071C22semidirect
51. #16838063C22semidirect
59. #16838025C22semidirect
64. #16838005C22semidirect
75. #16837931C22semidirect
76. #16837885C22semidirect
77. #16837880C22semidirect
78. C4×#11745689C22semidirect
79. #16837792C22semidirect
80. #16837790C22semidirect
81. #16837788C22semidirect
82. #16837783C22semidirect
83. #16837777C22semidirect
84. #16837767C22semidirect
86. #16837765C22semidirect
87. #16837760C22semidirect
88. #16837755C22semidirect
89. #16837747C22semidirect
90. #16837745C22semidirect
91. #16837727C22semidirect
93. #16837723C22semidirect
94. #16837718C22semidirect
95. #16837716C22semidirect
96. #16837711C22semidirect
97. #16837710C22semidirect
98. #16837707C22semidirect
99. #16837705C22semidirect
100. #16837705C22semidirect
101. #16837702C22semidirect
102. #16837700C22semidirect
103. #16837700C22semidirect
104. #16837690C22semidirect
105. #16837681C22semidirect
106. #16837659C22semidirect
107. #16837655C22semidirect
108. #16837653C22semidirect
109. #16837653C22semidirect
111. #16837647C22semidirect
113. #16837638C22semidirect
114. #16837636C22semidirect
115. #16837633C22semidirect
116. #16837622C22semidirect
117. #16837622C22semidirect
118. #16837622C22semidirect
119. #16837622C22semidirect
120. #16837622C22semidirect
121. #16837621C22semidirect
122. #16837620C22semidirect
123. #16837619C22semidirect
124. #16837616C22semidirect
125. #16837615C22semidirect
126. #16837615C22semidirect
127. #16837602C22semidirect
128. #16837600C22semidirect
129. #16837600C22semidirect
130. #16837600C22semidirect
131. #16837600C22semidirect
132. #16837600C22semidirect
133. #16837600C22semidirect
134. #16837600C22semidirect
135. #16837598C22semidirect
136. #16837596C22semidirect
137. #16837596C22semidirect
138. #16837596C22semidirect
139. #16837595C22semidirect
140. #16837595C22semidirect
141. #16837595C22semidirect
142. #16837595C22semidirect
144. #16837567C22semidirect
145. #16837562C22semidirect
146. #16837551C22semidirect
147. #16837551C22semidirect
148. #16837549C22semidirect
149. #16837549C22semidirect
150. #16837547C22semidirect
152. #16837545C22semidirect
153. #16837541C22semidirect
154. #16837536C22semidirect
155. #16837536C22semidirect
156. #16837534C22semidirect
157. #16837534C22semidirect
158. #16837531C22semidirect
159. #16837530C22semidirect
160. #16837512C22semidirect
161. #16837511C22semidirect
162. #16837507C22semidirect
163. #16837505C22semidirect
164. #16837504C22semidirect
165. #16837503C22semidirect
166. #16837503C22semidirect
167. SD16×Dic59C22semidirect
168. #16837487C22semidirect
169. #16837487C22semidirect
170. D8×Dic59C22semidirect
171. #16837478C22semidirect
172. #16837477C22semidirect
173. #16837474C22semidirect
174. #16837473C22semidirect
175. #16837470C22semidirect
176. #16837460C22semidirect
177. #16837460C22semidirect
178. #16837457C22semidirect
179. #16837430C22semidirect
180. #16837428C22semidirect
181. #16837424C22semidirect
182. #16837407C22semidirect
183. #16837405C22semidirect
184. #16837405C22semidirect
185. #16837404C22semidirect
186. #16837399C22semidirect
187. C2×#14273648C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C22×SD16×C59C22semidirect
190. C59×#548C22semidirect
193. C59×#468C22semidirect
194. C59×#466C22semidirect
195. C59×#463C22semidirect
197. C59×#450C22semidirect
198. C59×#449C22semidirect
199. C59×#448C22semidirect
200. C59×#447C22semidirect
201. C59×#440C22semidirect
202. C59×#435C22semidirect
915. #3265D59semidirect
945. C2×AGL(1,ℤ/8)C2×D59semidirect
947. C22×SD16C2×D59semidirect
964. #548C2×D59semidirect
1028. #468C2×D59semidirect
1031. #466C2×D59semidirect
1044. #463C2×D59semidirect
1067. #450C2×D59semidirect
1073. #449C2×D59semidirect
1075. #448C2×D59semidirect
1080. #447C2×D59semidirect
1090. #440C2×D59semidirect
1100. #435C2×D59semidirect
1113. C59#62081semidirect

Maximal subgroups

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

subgroupindex
#214384272
#214381982
#214371812
#214371332
#214368572
#214368262
#214363312
#214363072
#214362582
#214362372
#214361212
#214361042
#214357302
#214357102
#214356822
#214356292
#214355912
#214355302
#214355022
#214354942
#214351942
#214351422
#214351102
#214343812
#214342882
#214342032
#214336392
#214336142
#214335732
#214332622
C59×#32652
#6208159