Finite Group Databasebeta

← #29470467

Subgroups — #29470467

Order 15104.

1904 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437712C211yesmaximal, characteristic, complemented
2#21437707C211yesmaximal, characteristic, complemented
3#21437165C211yesmaximal, characteristic, complemented
4#21437048C211yesmaximal, characteristic, complemented
5#21436922C211yesmaximal, characteristic, complemented
6#21436865C211yesmaximal, characteristic, complemented
7#21436659C211yesmaximal, characteristic, complemented
8#21436564C211yesmaximal, characteristic, complemented
9#21436545C211yesmaximal, characteristic, complemented
10#21436350C211yesmaximal, characteristic, complemented
11#21436318C211yesmaximal, characteristic, complemented
12#21436263C211yesmaximal, characteristic, complemented
13#21436119C211yesmaximal, characteristic, complemented
14#21436063C211yesmaximal, characteristic, complemented
15#21435720C211yesmaximal, characteristic, complemented
16#21435599C211yesmaximal, characteristic, complemented
17#21435592C211yesmaximal, characteristic, complemented
18#21434697C211yesmaximal, characteristic, complemented
19#21434694C211yesmaximal, characteristic, complemented
20#21434659C211yesmaximal, characteristic, complemented
21#21434177C211yesmaximal, characteristic, complemented
22#21434140C211yesmaximal, characteristic, complemented
23#21434129C211yesmaximal, characteristic, complemented
24#21434115C211yesmaximal, characteristic, complemented
25#21434113C211yesmaximal, characteristic, complemented
26#21434101C211yesmaximal, characteristic, complemented
27#21433056C211yesmaximal, characteristic, complemented
28#21432912C211yesmaximal, characteristic, complemented
29#21432909C211yesmaximal, characteristic, complemented
30C2×#16837487C211yesmaximal, characteristic, complemented
31C59×#3316C211yesmaximal, characteristic, complemented
32C2×#14273759C2211yescharacteristic
33C2×#14273752C2211yescharacteristic
34C22×#11745671C2211yescharacteristic
35#16838137C2211yescharacteristic
36#16838128C2211yescharacteristic, complemented
37#16838121—21no—
38#16838121C2211yescharacteristic, complemented
39#16838113C2211yescharacteristic
40#16838105—21no—
41#16838100C2211yescharacteristic
42#16838100C2211yescharacteristic
43#16838092—21no—
44#16838092C2211yescharacteristic
45#16838086—21no—
46#16838086C2211yescharacteristic, complemented
47#16838079—21no—
48#16838079—21no—
49Q8×C22⋊D59C2211yescharacteristic, complemented
50#16838059C2211yescharacteristic, complemented
51#16838052—21no—
52#16838052C2211yescharacteristic, complemented
53#16838047—21no—
54#16838043C2211yescharacteristic
55#16838043C2211yescharacteristic
56D4×D236C2211yescharacteristic
57#16837954—21no—
58#16837954C2211yescharacteristic, complemented
59#16837953C2211yescharacteristic
60#16837938C2211yescharacteristic
61#16837938C2211yescharacteristic
62#16837937—21no—
63#16837933—21no—
64#16837933C2211yescharacteristic, complemented
65#16837931—21no—
66#16837931C2211yescharacteristic, complemented
67#16837915—21no—
68#16837915—21no—
69#41×Dic59C2211yescharacteristic, complemented
70C4×#11745689C2211yescharacteristic
71C4×#11745687—21no—
72C4×#11745687C2211yescharacteristic
73C2×Q8×Dic59C2211yescharacteristic, complemented
74C4×Q8×D59C2211yescharacteristic, complemented
75C2×#14273689C2211yescharacteristic
76C2×#14273689C2211yescharacteristic
77C4×D4×D59—21no—
78#16837809C2211yescharacteristic, complemented
79#16837808C2211yescharacteristic, complemented
80#16837802C2211yescharacteristic, complemented
81#16837795C2211yescharacteristic, complemented
82#16837792C2211yescharacteristic
83#16837783C2211yescharacteristic, complemented
84#16837769C2211yescharacteristic, complemented
85#16837767C2211yescharacteristic
86#16837763C2211yescharacteristic, complemented
87#16837758C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837741C2211yescharacteristic, complemented
90#16837740C2211yescharacteristic, complemented
91#16837737C2211yescharacteristic, complemented
92#16837732C2211yescharacteristic, complemented
93#16837730C2211yescharacteristic, complemented
94#16837727C2211yescharacteristic
95#16837724C2211yescharacteristic, complemented
96#16837722C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic, complemented
98#16837716C2211yescharacteristic
99#16837711C2211yescharacteristic, complemented
100#16837711C2211yescharacteristic, complemented
101#16837709C2211yescharacteristic, complemented
102#16837707C2211yescharacteristic, complemented
103#16837703C2211yescharacteristic
104#16837701C2211yescharacteristic
105#16837701C2211yescharacteristic, complemented
106#16837700C2211yescharacteristic, complemented
107#16837691C2211yescharacteristic
108#16837691C2211yescharacteristic, complemented
109#16837684C2211yescharacteristic, complemented
110#16837658C2211yescharacteristic, complemented
111#16837654C2211yescharacteristic, complemented
112#16837654C2211yescharacteristic, complemented
113#16837651C2211yescharacteristic, complemented
114#16837651C2211yescharacteristic, complemented
115#16837650C2211yescharacteristic
116#16837648C2211yescharacteristic
117#16837641C2211yescharacteristic, complemented
118#16837636C2211yescharacteristic
119#16837631C2211yescharacteristic
120#16837626C2211yescharacteristic, complemented
121#16837626C2211yescharacteristic, complemented
122#16837626C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837616C2211yescharacteristic
125#16837616C2211yescharacteristic, complemented
126#16837614C2211yescharacteristic
127#16837606C2211yescharacteristic
128#16837606C2211yescharacteristic, complemented
129#16837603C2211yescharacteristic
130#16837602C2211yescharacteristic
131#16837563C2211yescharacteristic
132#16837555C2211yescharacteristic
133#16837555C2211yescharacteristic
134#16837552C2211yescharacteristic
135#16837547C2211yescharacteristic
136#16837546C2211yescharacteristic
137#16837542C2211yescharacteristic, complemented
138#16837542C2211yescharacteristic, complemented
139#16837541C2211yescharacteristic
140#16837535C2211yescharacteristic
141#16837531C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837511C2211yescharacteristic
144#16837511C2211yescharacteristic, complemented
145#16837507C2211yescharacteristic, complemented
146#16837505C2211yescharacteristic
147#16837505C2211yescharacteristic, complemented
148#16837504C2211yescharacteristic
149#16837500C2211yescharacteristic
150Q16×Dic59C2211yescharacteristic, complemented
151Q16×Dic59C2211yescharacteristic, complemented
152#16837494C2211yescharacteristic, complemented
153SD16×Dic59C2211yescharacteristic, complemented
154#16837489C2211yescharacteristic
155#16837489C2211yescharacteristic, complemented
156#16837489C2211yescharacteristic, complemented
157#16837487C2211yescharacteristic
158#16837487C2211yescharacteristic
159#16837487C2211yescharacteristic
160#16837487C2211yescharacteristic
161#16837487C2211yescharacteristic, complemented
162#16837487C2211yescharacteristic, complemented
163#16837487C2211yescharacteristic, complemented
164#16837487C2211yescharacteristic, complemented
165#16837487C2211yescharacteristic, complemented
166#16837487C2211yescharacteristic, complemented
167#16837482C2211yescharacteristic
168#16837482C2211yescharacteristic, complemented
169#16837482C2211yescharacteristic, complemented
170#16837478C2211yescharacteristic, complemented
171#16837477C2211yescharacteristic, complemented
172#16837474C2211yescharacteristic
173#16837473C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175#16837454C2211yescharacteristic, complemented
176#16837452C2211yescharacteristic, complemented
177#16837452C2211yescharacteristic, complemented
178#16837442C2211yescharacteristic, complemented
179#16837441C2211yescharacteristic, complemented
180C2×#14273658C2211yescharacteristic, complemented
181#16837409C2211yescharacteristic, complemented
182#16837408C2211yescharacteristic
183#16837402C2211yescharacteristic
184C2×#14273649C2211yescharacteristic
185#16837354C2211yescharacteristic, complemented
186M16×Dic59C2211yescharacteristic, complemented
187C2×C8×Dic59C2211yescharacteristic, complemented
188C59×#554C2211yescharacteristic
189C59×#548C2211yescharacteristic
190C59×#489C2211yescharacteristic, complemented
191C59×#483C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#475C2211yescharacteristic, complemented
194C59×#470C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#464C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#451C2211yescharacteristic, complemented
199C59×#441C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic
201C59×#417C2211yescharacteristic, complemented
202C2×#103×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689C2311yescharacteristic
205C2×#11745687—21no—
206C2×#11745687D411yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C2×D4×D59—21no—
211C22×C4×D59—21no—
212C22×C4×D59—21no—
213#14273759—24no—
214#14273752—24no—
215C2×#11745672C2311yescharacteristic
216C2×#11745660C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745671—24no—
220C2×#11745671C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745664C2311yescharacteristic
230C2×#11745659C2311yescharacteristic
231C2×#11745659C2311yescharacteristic
232C22×C59⋊C8C2311yescharacteristic
233#14273726—21no—
234#14273726C2311yescharacteristic
235#14273725—21no—
236#14273725C2311yescharacteristic
237#14273724C2311yescharacteristic
238#14273722—21no—
239#14273722—21no—
240#14273722—21no—
241#14273722—21no—
242#14273720—21no—
243#14273720—21no—
244#14273720—21no—
245#14273720—21no—
246#14273720—21no—
247#14273720—21no—
248#14273719—21no—
249#14273719C2311yescharacteristic
250#14273718—21no—
251#14273718C2311yescharacteristic
252#14273718C2311yescharacteristic
253#14273718C2311yescharacteristic
254#14273717—21no—
255#14273717—21no—
256#14273717—21no—
257#14273716—21no—
258#14273716C2311yescharacteristic
259#14273716C2311yescharacteristic
260#14273715—21no—
261#14273714—21no—
262#14273714C2311yescharacteristic
263#14273712—21no—
264#14273712—21no—
265#14273712—21no—
266#14273712—21no—
267#14273712—21no—
268#14273712—21no—
269#14273711—21no—
270#14273711—21no—
271#14273709—21no—
272#14273709—21no—
273#14273709—21no—
274#14273708—21no—
275#14273708—21no—
276#14273708—21no—
277#14273707—21no—
278#14273706—21no—
279#14273706—21no—
280#14273706C2311yescharacteristic
281#14273706C2311yescharacteristic
282#14273704—21no—
283#14273704—21no—
284#14273704—21no—
285#14273703—21no—
286#14273703—21no—
287#14273703—21no—
288#14273703C2311yescharacteristic
289#14273702—21no—
290#14273702—21no—
291#14273702—21no—
292#14273702—21no—
293#14273702C2311yescharacteristic
294#14273702C2311yescharacteristic
295#14273701—21no—
296#14273701—21no—
297#14273701C2311yescharacteristic
298#14273701C2311yescharacteristic
299#14273698—21no—
300#14273698C2311yescharacteristic
301#14273697—21no—
302#14273697—21no—
303#14273697—21no—
304#14273697—21no—
305Q8×Dic59—21no—
306Q8×Dic59—21no—
307Q8×Dic59C2311yescharacteristic
308Q8×Dic59C2311yescharacteristic
309Q8×Dic59C2311yescharacteristic
310Q8×Dic59C2311yescharacteristic
311Q8×Dic59C2311yescharacteristic
312Q8×Dic59C2311yescharacteristic
313C4×Dic118—21no—
314C4×Dic118—21no—
315C4×Dic118C2311yescharacteristic
316C4×Dic118C2311yescharacteristic
317#14273692—21no—
318#14273692—21no—
319#14273692D411yescharacteristic
320#14273692C2311yescharacteristic
321C4×D236—21no—
322C4×D236—21no—
323C4×D236C2311yescharacteristic
324D4×Dic59—21no—
325D4×Dic59—21no—
326D4×Dic59—21no—
327D4×Dic59D411yescharacteristic
328D4×Dic59C2311yescharacteristic
329D4×Dic59C2311yescharacteristic
330#14273689—21no—
331#14273689—21no—
332#14273689—21no—
333#14273689—21no—
334#14273689—21no—
335#14273689—21no—
336#14273689C2311yescharacteristic
337#14273689C2311yescharacteristic
338#14273689C2311yescharacteristic
339#14273689C2311yescharacteristic
340#14273689C2311yescharacteristic
341#14273689C2311yescharacteristic
342#14273689C2311yescharacteristic
343C4×C22⋊D59—21no—
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59C2311yescharacteristic
348C4×C22⋊D59C2311yescharacteristic
349(C22⋊D59)⋊C4—21no—
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4D411yescharacteristic
353(C22⋊D59)⋊C4D411yescharacteristic
354#14273686—21no—
355#14273686C2311yescharacteristic
356#14273685—21no—
357#14273685—21no—
358#14273685—21no—
359#14273685—21no—
360#14273685D411yescharacteristic
361#14273685C2311yescharacteristic
362#14273683—21no—
363#14273683—21no—
364#14273683—21no—
365#14273683—21no—
366#14273683—21no—
367#14273683D411yescharacteristic
368#14273683D411yescharacteristic
369C2×C4⋊Dic59—21no—
370C2×C4⋊Dic59C2311yescharacteristic
371C4⋊C4×D59—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59C2311yescharacteristic
374C2×(C2×D59)⋊C4—21no—
375C2×(C2×D59)⋊C4—21no—
376C22⋊C4×D59—21no—
377C22⋊C4×D59—21no—
378C2×C4×Dic59—21no—
379C2×C4×Dic59—21no—
380C2×C4×Dic59C2311yescharacteristic
381C2×C4×Dic59C2311yescharacteristic
382C42×D59—21no—
383C42×D59—21no—
384C42×D59C2311yescharacteristic
385#14273661C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429#14273638C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432C8×Dic59C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×#41×C59C2311yescharacteristic
439C22×Q8×C59C2311yescharacteristic
440C2×Q16×C59C2311yescharacteristic
441C2×Q16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×M16×C59C2311yescharacteristic
444C22×C8×C59C2311yescharacteristic
445C4⋊Q8×C59C2311yescharacteristic
446#125×C59—21no—
447#124×C59—21no—
448#124×C59C2311yescharacteristic
449C22⋊Q8×C59—21no—
450C22⋊Q8×C59—21no—
451C22⋊Q8×C59—21no—
452C22⋊Q8×C59C2311yescharacteristic
453C22⋊Q8×C59C2311yescharacteristic
454C22⋊Q8×C59C2311yescharacteristic
455#121×C59—21no—
456#121×C59C2311yescharacteristic
457C4×Q8×C59C2311yescharacteristic
458C4×Q8×C59C2311yescharacteristic
459C4×D4×C59—21no—
460C4×D4×C59—21no—
461C4×D4×C59C2311yescharacteristic
462C2×C4⋊C4×C59C2311yescharacteristic
463C2×C4⋊C4×C59C2311yescharacteristic
464#106×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468#103×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483#41×C59—22no—
484#41×C59—41no—
485C2×Q8×C59—21no—
486C2×Q8×C59—21no—
487C2×Q8×C59—22no—
488C2×Q8×C59—41no—
489C2×Q8×C59C2411yescharacteristic
490C2×Q8×C59C2411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59C2×D411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59C2411yescharacteristic
501C22×C4×C59C2411yescharacteristic
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59C2×D411yescharacteristic
506C2×C22⋊D59C2×D411yescharacteristic
507C22×Dic59—21no—
508C22×Dic59—21no—
509C22×Dic59—21no—
510C22×Dic59C2×D411yescharacteristic
511C22×Dic59C2×D411yescharacteristic
512C22×Dic59C2×D411yescharacteristic
513C22×Dic59C2×D411yescharacteristic
514#11745689—22no—
515#11745689—41no—
516#11745689—82no—
517Q8×D59—22no—
518Q8×D59—41no—
519#11745687—42no—
520#11745687—44no—
521D4×D59—44no—
522C2×D236—22no—
523C2×D236—22no—
524C2×D236—21no—
525C2×D236—21no—
526C2×D236—21no—
527C2×D236—21no—
528C2×D236—21no—
529C2×D236—21no—
530C2×D236—21no—
531C2×D236—41no—
532C2×D236—41no—
533C2×D236C2411yescharacteristic
534C2×D236C2411yescharacteristic
535C2×D236C2411yescharacteristic
536C2×C4×D59—21no—
537C2×C4×D59—21no—
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—82no—
548C2×C4×D59—82no—
549C2×C4×D59C2×D411yescharacteristic
550C2×C4×D59C2×D411yescharacteristic
551C2×C4×D59C2411yescharacteristic
552C2×Dic118—21no—
553C2×Dic118—21no—
554C2×Dic118C2×D411yescharacteristic
555C2×Dic118C2411yescharacteristic
556Q16×C59—22no—
557Q16×C59—41no—
558SD16×C59—41no—
559M16×C59—41no—
560C2×C8×C59—41no—
561C2×C8×C59C2411yescharacteristic
562C2×C8×C59C2411yescharacteristic
563C2×C8×C59C2411yescharacteristic
564C2×C8×C59C2411yescharacteristic
565C4⋊C4×C59—21no—
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59C2×D411yescharacteristic
574C4⋊C4×C59C2411yescharacteristic
575C4⋊C4×C59C2411yescharacteristic
576C4⋊C4×C59C2411yescharacteristic
577C4⋊C4×C59C2411yescharacteristic
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59C2×D411yescharacteristic
585C22⋊C4×C59C2×D411yescharacteristic
586C42×C59—21no—
587C42×C59—21no—
588C42×C59C2411yescharacteristic
589C22⋊Dic59—21no—
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59C2×D411yescharacteristic
598C22⋊Dic59C2×D411yescharacteristic
599#11745672—22no—
600#11745671—22no—
601#11745671—22no—
602#11745671—22no—
603#11745671—22no—
604#11745671—41no—
605#11745671#4114yescomplemented
606#11745669—22no—
607#11745669—22no—
608#11745669—41no—
609(C2×D59)⋊C4—21no—
610(C2×D59)⋊C4—21no—
611(C2×D59)⋊C4—21no—
612(C2×D59)⋊C4—21no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4C2×D411yescharacteristic
628(C2×D59)⋊C4C2×D411yescharacteristic
629C4⋊Dic59—21no—
630C4⋊Dic59—21no—
631C4⋊Dic59—21no—
632C4⋊Dic59—21no—
633C4⋊Dic59—21no—
634C4⋊Dic59—21no—
635C4⋊Dic59—21no—
636C4⋊Dic59—21no—
637C4⋊Dic59—21no—
638C4⋊Dic59—21no—
639C4⋊Dic59C2×D411yescharacteristic
640C4⋊Dic59C2411yescharacteristic
641C4⋊Dic59C2411yescharacteristic
642C4⋊Dic59C2411yescharacteristic
643C4⋊Dic59C2411yescharacteristic
644Dic59⋊C4—21no—
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4C2×D411yescharacteristic
659Dic59⋊C4C2×D411yescharacteristic
660Dic59⋊C4C2×D411yescharacteristic
661Dic59⋊C4C2×D411yescharacteristic
662C4×Dic59—21no—
663C4×Dic59—21no—
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59C2×D411yescharacteristic
673C4×Dic59C2×D411yescharacteristic
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2411yescharacteristic
679C4×Dic59C2411yescharacteristic
680C4×Dic59C2411yescharacteristic
681#11745664—22no—
682C2×C59⋊C8—22no—
683C2×C59⋊C8C2411yescharacteristic
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687#11745660—22no—
688#11745660—41no—
689#11745660—41no—
690#11745659—22no—
691#11745659—41no—
692C23×C59—21no—
693C23×C59C22×D411yescharacteristic
694C23×C59C22×D411yescharacteristic
695C22×D59—21no—
696C22×D59—21no—
697C22×D59—21no—
698C22×D59—42no—
699C22×D59—42no—
700C22×D59—42no—
701C22×D59—42no—
702C22×D59—81no—
703C22×D59—81no—
704C22×D59C22×D411yescharacteristic
705Q8×C59—21no—
706Q8×C59—21no—
707Q8×C59—21no—
708Q8×C59—21no—
709Q8×C59—21no—
710Q8×C59—42no—
711Q8×C59—81no—
712Q8×C59C2×#4112yes—
713D4×C59—22no—
714D4×C59—21no—
715D4×C59—21no—
716D4×C59—42no—
717D4×C59—42no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—42no—
730C2×C4×C59—42no—
731C2×C4×C59—81no—
732C2×C4×C59—81no—
733C2×C4×C59C22×D411yescharacteristic
734C2×C4×C59C22×D411yescharacteristic
735C2×C4×C59C22×D411yescharacteristic
736C2×C4×C59C22×D411yescharacteristic
737C2×C4×C59C2511yescharacteristic
738C22⋊D59—22no—
739C22⋊D59—41no—
740C22⋊D59—42no—
741C22⋊D59—42no—
742C22⋊D59—42no—
743C2×Dic59—22no—
744C2×Dic59—22no—
745C2×Dic59—22no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—41no—
752C2×Dic59—42no—
753C2×Dic59—42no—
754C2×Dic59—42no—
755C2×Dic59C22×D411yescharacteristic
756C2×Dic59C22×D411yescharacteristic
757C2×Dic59C22×D411yescharacteristic
758C2×Dic59C22×D411yescharacteristic
759C2×Dic59C22×D411yescharacteristic
760C2×Dic59C22×D411yescharacteristic
761C2×Dic59C22×D411yescharacteristic
762D236—21no—
763D236—21no—
764D236—21no—
765D236—21no—
766D236—21no—
767D236—42no—
768D236—42no—
769D236—42no—
770D236—42no—
771D236—81no—
772D236—81no—
773D236—81no—
774D236C2×#4112yes—
775C4×D59—21no—
776C4×D59—21no—
777C4×D59—22no—
778C4×D59—41no—
779C4×D59—42no—
780C4×D59—42no—
781C4×D59—42no—
782C4×D59—42no—
783C4×D59—42no—
784C4×D59—42no—
785C4×D59—42no—
786C4×D59—81no—
787C4×D59—81no—
788C4×D59—81no—
789C4×D59—81no—
790Dic118—21no—
791Dic118—21no—
792Dic118—41no—
793Dic118—42no—
794Dic118—42no—
795C8×C59—21no—
796C8×C59—21no—
797C8×C59—21no—
798C8×C59—21no—
799C59⋊C8—21no—
800C59⋊C8—21no—
801C59⋊C8—21no—
802C59⋊C8C2×#4112yes—
803#61445—591nomaximal, Sylow
804C22×C59—21no—
805C22×C59—21no—
806C22×C59—21no—
807C22×C59—21no—
808C22×C59—21no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59#57512yes—
813C22×C59C23×D411yescharacteristic
814C2×D59—21no—
815C2×D59—22no—
816C2×D59—21no—
817C2×D59—21no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—41no—
821C2×D59—41no—
822C2×D59—41no—
823C2×D59—41no—
824C2×D59—41no—
825C2×D59—41no—
826C2×D59—84no—
827C2×D59—84no—
828C4×C59—22no—
829C4×C59—21no—
830C4×C59—21no—
831C4×C59—21no—
832C4×C59—21no—
833C4×C59—41no—
834C4×C59—41no—
835C4×C59—41no—
836C4×C59—41no—
837C4×C59—41no—
838C4×C59—41no—
839C4×C59C22×#4111yescharacteristic
840C4×C59#58511yescharacteristic
841Dic59—21no—
842Dic59—21no—
843Dic59—21no—
844Dic59—21no—
845Dic59—21no—
846Dic59—21no—
847Dic59—41no—
848Dic59—41no—
849Dic59—41no—
850Dic59—41no—
851Dic59—41no—
852Dic59#57712yes—
853#3482—591no—
854#3481—591no—
855#3401—591no—
856#3388—591no—
857#3376—591no—
858#3371—591no—
859#3351—591no—
860#3345—591no—
861#3344—591no—
862#3326—591no—
863#3323—591no—
864#3320—591no—
865#3316D5911yescharacteristic, complemented
866#3310—591no—
867#3306—591no—
868#3275—591no—
869#3266—591no—
870#3265—591no—
871#3172—591no—
872#3171—591no—
873#3168—591no—
874#3108—591no—
875#3105—591no—
876#3103—591no—
877#3102—591no—
878#3102—591no—
879#3101—591no—
880#2965—591no—
881C4×#137—591no—
882C4×AGL(1,ℤ/8)—591no—
883C2×C4×SD16—591no—
884C2×C59—22no—
885C2×C59—41no—
886C2×C59—81no—
887C2×C59D4×#4111yescharacteristic
888C2×C59C2×#57511yescharacteristic
889C2×C59C2×#57711yescharacteristic
890D59—41no—
891D59—42no—
892D59—81no—
893D59—81no—
894C2×#137—591no—
895C2×AGL(1,ℤ/8)—591no—
896C22×SD16—591no—
897#559—591no—
898#557—591no—
899#556—591no—
900#556—1181no—
901#554—591no—
902#554C2×D5911yescharacteristic
903#553—591no—
904#553—591no—
905#553—1181no—
906#552—591no—
907#552—591no—
908#552—1181no—
909#552—1181no—
910#551—1181no—
911#551—1181no—
912D4×Q8—591no—
913#548—591no—
914#548C2×D5911yescharacteristic
915#547—591no—
916#547—1181no—
917#546—591no—
918#546—591no—
919#546—1181no—
920D42—591no—
921#533—591no—
922#533—1181no—
923#532—591no—
924#529—591no—
925#529—591no—
926#529—591no—
927#529—591no—
928#529—1181no—
929#529—1181no—
930#529—1181no—
931#525—1181no—
932#525—1181no—
933C4×#41—591no—
934C4×#41—591no—
935C4×#41—591no—
936C4×#41—1181no—
937C2×C4×Q8—591no—
938C2×C4×Q8—591no—
939C2×C4×D4—591no—
940C2×C4×D4—591no—
941C2×C4×D4—1181no—
942#501—591no—
943#501—591no—
944#499—591no—
945#497—591no—
946#496—591no—
947#495—591no—
948#491—591no—
949#490—591no—
950#489—591no—
951#489C2×D5911yescharacteristic, complemented
952#488—591no—
953#488—591no—
954#485—591no—
955#485—591no—
956#484—591no—
957#483—591no—
958#483—591no—
959#483C2×D5911yescharacteristic, complemented
960#482—591no—
961#482—591no—
962#481—591no—
963#481—591no—
964#481C2×D5911yescharacteristic, complemented
965#480—591no—
966#479—591no—
967#479—591no—
968#479—591no—
969#479—591no—
970#478—591no—
971#478—591no—
972#478—591no—
973#478—591no—
974#476—591no—
975#476—591no—
976#475—591no—
977#475C2×D5911yescharacteristic, complemented
978#470—591no—
979#470C2×D5911yescharacteristic, complemented
980#469—591no—
981#469—591no—
982#468—591no—
983#468—591no—
984#468—591no—
985#468—591no—
986#467—591no—
987#466—591no—
988#465—591no—
989#465C2×D5911yescharacteristic, complemented
990#464—591no—
991#464—591no—
992#464—591no—
993#464C2×D5911yescharacteristic, complemented
994#463—591no—
995#463—591no—
996#463—591no—
997#463—591no—
998#461—591no—
999#461—591no—
1000#460—591no—
1001#460—591no—
1002#452—591no—
1003#452C2×D5911yescharacteristic, complemented
1004#451C2×D5911yescharacteristic, complemented
1005#450—591no—
1006#450—591no—
1007#450—591no—
1008#449—591no—
1009#449—591no—
1010#448—591no—
1011#448—591no—
1012#448—591no—
1013#447—591no—
1014#446—591no—
1015#446—591no—
1016#442—591no—
1017#442—591no—
1018#441—591no—
1019#441C2×D5911yescharacteristic, complemented
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440—591no—
1024C4×Q16—591no—
1025C4×Q16—591no—
1026C4×Q16—591no—
1027C4×SD16—591no—
1028C4×SD16—591no—
1029C4×SD16—591no—
1030C4×SD16—591no—
1031C4×SD16—591no—
1032C4×SD16—591no—
1033C4×SD16—591no—
1034C4×SD16—591no—
1035C4×SD16—591no—
1036C4×SD16—591no—
1037C4×SD16—591no—
1038C4×SD16—591no—
1039C4×SD16—591no—
1040C4×SD16—591no—
1041C4×D8—591no—
1042C4×D8—591no—
1043C4×D8—591no—
1044#436—591no—
1045#436—591no—
1046#435—591no—
1047#435—591no—
1048#435—591no—
1049#435C2×D5911yescharacteristic
1050#431—591no—
1051#431—591no—
1052#431—591no—
1053#428—591no—
1054#428—591no—
1055C2×#106—591no—
1056#419—591no—
1057#418—591no—
1058#417—591no—
1059#417C2×D5911yescharacteristic, complemented
1060C2×#103C2×D5911yescharacteristic, complemented
1061C2×#102—591no—
1062C4×M16—591no—
1063C4×M16—591no—
1064C2×C4×C8—591no—
1065C59#6144511yescharacteristic, complemented, Sylow
1066C2×#41—591no—
1067C2×#41—591no—
1068C2×#41—1181no—
1069C2×#41—1181no—
1070C2×#41C22×D5911yescharacteristic
1071C22×Q8—591no—
1072C22×Q8C22×D5911yescharacteristic
1073C22×D4—591no—
1074C22×D4—591no—
1075C22×D4—1181no—
1076C23×C4—1181no—
1077C23×C4—1181no—
1078#137—1184no—
1079AGL(1,ℤ/8)—1184no—
1080C2×Q16—591no—
1081C2×Q16C22×D5911yescharacteristic
1082C2×Q16C22×D5911yescharacteristic
1083C2×SD16—591no—
1084C2×SD16—591no—
1085C2×SD16—591no—
1086C2×SD16—591no—
1087C2×SD16—591no—
1088C2×SD16—591no—
1089C2×SD16—591no—
1090C2×SD16—591no—
1091C2×SD16—591no—
1092C2×SD16—1184no—
1093C2×SD16C22×D5911yescharacteristic
1094C2×D8—591no—
1095C2×D8—591no—
1096C2×D8—591no—
1097C2×M16—591no—
1098C2×M16—591no—
1099C2×M16—591no—
1100C2×M16C22×D5911yescharacteristic
1101C22×C8—591no—
1102C22×C8C22×D5911yescharacteristic
1103C4⋊Q8—591no—
1104C4⋊Q8—591no—
1105C4⋊Q8—1181no—
1106C4⋊Q8—1181no—
1107C4⋊Q8C22×D5911yescharacteristic
1108#127—591no—
1109#126—1181no—
1110#126—1181no—
1111#126—1181no—
1112#126—1181no—
1113#126—1181no—
1114#126—1181no—
1115#126—1181no—
1116#126—1181no—
1117#126—1181no—
1118#126—1181no—
1119#125—21no—
1120#125—591no—
1121#125—591no—
1122#125—591no—
1123#125—591no—
1124#125—1181no—
1125#125—1181no—
1126#125—1181no—
1127#125—1181no—
1128#125—1181no—
1129#124—21no—
1130#124—591no—
1131#124—591no—
1132#124—591no—
1133#124—1181no—
1134#124—1181no—
1135#124—1181no—
1136#124C22×D5911yescharacteristic
1137#123—1181no—
1138#123—1181no—
1139#123—1181no—
1140#123—1181no—
1141#123—1181no—
1142#123—1181no—
1143#123—1181no—
1144#123—1181no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—591no—
1155C22⋊Q8—591no—
1156C22⋊Q8—591no—
1157C22⋊Q8—1181no—
1158C22⋊Q8—1181no—
1159C22⋊Q8—1181no—
1160C22⋊Q8—1181no—
1161C22⋊Q8—1181no—
1162C22⋊Q8—1181no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8C22×D5911yescharacteristic
1167C22⋊Q8C22×D5911yescharacteristic
1168C22⋊Q8C22×D5911yescharacteristic
1169#121—21no—
1170#121—591no—
1171#121—591no—
1172#121—591no—
1173#121—591no—
1174#121—591no—
1175#121—1181no—
1176#121—1181no—
1177#121—1181no—
1178#121—1181no—
1179#121—1181no—
1180#121—1181no—
1181#121—1181no—
1182#121C22×D5911yescharacteristic
1183#120—1181no—
1184#120—1181no—
1185#120—1181no—
1186#120—1181no—
1187C4×Q8—591no—
1188C4×Q8—591no—
1189C4×Q8—591no—
1190C4×Q8—591no—
1191C4×Q8—591no—
1192C4×Q8—591no—
1193C4×Q8—591no—
1194C4×Q8—591no—
1195C4×Q8—591no—
1196C4×Q8—591no—
1197C4×Q8—1181no—
1198C4×Q8—1181no—
1199C4×Q8—1181no—
1200C4×Q8—1181no—
1201C4×Q8—1181no—
1202C4×Q8—1181no—
1203C4×Q8C22×D5911yescharacteristic
1204C4×Q8C22×D5911yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—591no—
1208C4×D4—591no—
1209C4×D4—591no—
1210C4×D4—591no—
1211C4×D4—591no—
1212C4×D4—591no—
1213C4×D4—591no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—591no—
1221C4×D4—591no—
1222C4×D4—1181no—
1223C4×D4—1181no—
1224C4×D4—1181no—
1225C4×D4—1181no—
1226C4×D4—1181no—
1227C4×D4—1181no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4—1181no—
1239C4×D4—1181no—
1240C4×D4C22×D5911yescharacteristic
1241#117—591no—
1242#117—591no—
1243#117—591no—
1244#117—591no—
1245#117—591no—
1246#117—1181no—
1247#117—1181no—
1248#117—1181no—
1249#117—1181no—
1250#117—1181no—
1251#117—1181no—
1252#117—1181no—
1253#117—1181no—
1254#117—1181no—
1255#117—1181no—
1256C2×C4⋊C4—591no—
1257C2×C4⋊C4—591no—
1258C2×C4⋊C4—1181no—
1259C2×C4⋊C4—1181no—
1260C2×C4⋊C4—1181no—
1261C2×C4⋊C4C22×D5911yescharacteristic
1262C2×C4⋊C4C22×D5911yescharacteristic
1263C2×C22⋊C4—1181no—
1264C2×C22⋊C4—1181no—
1265C2×C22⋊C4—1181no—
1266C2×C22⋊C4—1181no—
1267C2×C42—591no—
1268C2×C42—591no—
1269C2×C42—591no—
1270C2×C42—1181no—
1271C2×C42—1181no—
1272C2×C42—1181no—
1273C2×C42—1181no—
1274#107—591no—
1275#107—591no—
1276#107—591no—
1277#107—591no—
1278#107—591no—
1279#107—591no—
1280#106—591no—
1281#106—591no—
1282#106—591no—
1283#106—591no—
1284#106—591no—
1285#106—591no—
1286#106—591no—
1287#106C22×D5911yescharacteristic
1288#106C22×D5911yescharacteristic
1289#106C22×D5911yescharacteristic
1290C4⋊C8—591no—
1291C4⋊C8—591no—
1292C4⋊C8—591no—
1293C4⋊C8—591no—
1294C4⋊C8—591no—
1295C4⋊C8C22×D5911yescharacteristic
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103—591no—
1300#103—591no—
1301#103—591no—
1302#103—591no—
1303#103—591no—
1304#103—591no—
1305#103C22×D5911yescharacteristic
1306#103C22×D5911yescharacteristic
1307#103C22×D5911yescharacteristic
1308#103C22×D5911yescharacteristic
1309#103C22×D5911yescharacteristic
1310#103C22×D5911yescharacteristic
1311#103C22×D5911yescharacteristic
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102—591no—
1316#102—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102C22×D5911yescharacteristic
1326#102C22×D5911yescharacteristic
1327#102C22×D5911yescharacteristic
1328C22⋊C8—591no—
1329C22⋊C8—591no—
1330C22⋊C8—591no—
1331C22⋊C8—591no—
1332C22⋊C8C22×D5911yescharacteristic
1333C22⋊C8C22×D5911yescharacteristic
1334#97—591no—
1335#97—591no—
1336#97—591no—
1337#97C22×D5911yescharacteristic
1338C4×C8—591no—
1339C4×C8—591no—
1340C4×C8—591no—
1341C4×C8—591no—
1342C4×C8—591no—
1343C4×C8—591no—
1344C24—1181no—
1345C24—1181no—
1346#41—22no—
1347#41—41no—
1348#41—1182no—
1349#41—4722no—
1350#41—2362no—
1351#41—2361no—
1352#41—2364no—
1353C2×Q8—21no—
1354C2×Q8—21no—
1355C2×Q8—22no—
1356C2×Q8—41no—
1357C2×Q8—591no—
1358C2×Q8—591no—
1359C2×Q8—1181no—
1360C2×Q8—1181no—
1361C2×Q8—1182no—
1362C2×Q8—2361no—
1363C2×Q8C23×D5911yescharacteristic
1364C2×Q8C23×D5911yescharacteristic
1365C2×Q8C23×D5911yescharacteristic
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—591no—
1369C2×D4—591no—
1370C2×D4—591no—
1371C2×D4—591no—
1372C2×D4—591no—
1373C2×D4—1182no—
1374C2×D4—1182no—
1375C2×D4—1181no—
1376C2×D4—1181no—
1377C2×D4—1181no—
1378C2×D4—1181no—
1379C2×D4—1181no—
1380C2×D4—1181no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—2361no—
1386C2×D4—2361no—
1387C2×D4—2364no—
1388C2×D4D4×D5911yescharacteristic
1389C2×D4C23×D5911yescharacteristic
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—591no—
1395C22×C4—591no—
1396C22×C4—591no—
1397C22×C4—591no—
1398C22×C4—591no—
1399C22×C4—591no—
1400C22×C4—591no—
1401C22×C4—1181no—
1402C22×C4—1181no—
1403C22×C4—1181no—
1404C22×C4—1181no—
1405C22×C4—1181no—
1406C22×C4—1181no—
1407C22×C4—1181no—
1408C22×C4—1181no—
1409C22×C4—1181no—
1410C22×C4—1181no—
1411C22×C4—1181no—
1412C22×C4—1181no—
1413C22×C4—1181no—
1414C22×C4—1181no—
1415C22×C4—4722no—
1416C22×C4—4722no—
1417C22×C4C23×D5911yescharacteristic
1418C22×C4C23×D5911yescharacteristic
1419Q16—22no—
1420Q16—41no—
1421Q16—1182no—
1422SD16—41no—
1423SD16—594no—
1424SD16—1182no—
1425SD16—1182no—
1426SD16—1182no—
1427SD16—1182no—
1428SD16—1182no—
1429SD16—2361no—
1430SD16—2361no—
1431SD16—2361no—
1432D8—1182no—
1433D8—1182no—
1434D8—2361no—
1435M16—41no—
1436M16—1182no—
1437M16—1182no—
1438M16—2361no—
1439C2×C8—41no—
1440C2×C8—591no—
1441C2×C8—591no—
1442C2×C8—591no—
1443C2×C8—591no—
1444C2×C8—1182no—
1445C2×C8C23×D5911yescharacteristic
1446C2×C8C23×D5911yescharacteristic
1447C2×C8C23×D5911yescharacteristic
1448C2×C8C23×D5911yescharacteristic
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—591no—
1458C4⋊C4—591no—
1459C4⋊C4—591no—
1460C4⋊C4—591no—
1461C4⋊C4—591no—
1462C4⋊C4—591no—
1463C4⋊C4—591no—
1464C4⋊C4—591no—
1465C4⋊C4—591no—
1466C4⋊C4—1181no—
1467C4⋊C4—1181no—
1468C4⋊C4—1181no—
1469C4⋊C4—1181no—
1470C4⋊C4—1181no—
1471C4⋊C4—1181no—
1472C4⋊C4—1181no—
1473C4⋊C4—1181no—
1474C4⋊C4—1181no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4D4×D5911yescharacteristic
1491C4⋊C4C23×D5911yescharacteristic
1492C4⋊C4C23×D5911yescharacteristic
1493C4⋊C4C23×D5911yescharacteristic
1494C4⋊C4C23×D5911yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—591no—
1502C22⋊C4—591no—
1503C22⋊C4—591no—
1504C22⋊C4—591no—
1505C22⋊C4—1181no—
1506C22⋊C4—1181no—
1507C22⋊C4—1181no—
1508C22⋊C4—1181no—
1509C22⋊C4—1181no—
1510C22⋊C4—1181no—
1511C22⋊C4—1181no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
1514C22⋊C4—1181no—
1515C22⋊C4—1181no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4D4×D5911yescharacteristic
1532C22⋊C4D4×D5911yescharacteristic
1533C42—21no—
1534C42—21no—
1535C42—591no—
1536C42—591no—
1537C42—591no—
1538C42—591no—
1539C42—591no—
1540C42—591no—
1541C42—591no—
1542C42—591no—
1543C42—591no—
1544C42—1181no—
1545C42—1181no—
1546C42—1181no—
1547C42—1181no—
1548C42—1181no—
1549C42—1181no—
1550C42—1181no—
1551C42—1181no—
1552C42—1181no—
1553C42—1181no—
1554C42C23×D5911yescharacteristic
1555C23—21no—
1556C23—591no—
1557C23—1181no—
1558C23—1181no—
1559C23—1181no—
1560C23—4721no—
1561C23—4721no—
1562C23—2362no—
1563C23—2362no—
1564C23—2362no—
1565C23—2362no—
1566C23C2×D4×D5911yescharacteristic
1567C23C2×D4×D5911yescharacteristic
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—21no—
1572Q8—21no—
1573Q8—42no—
1574Q8—81no—
1575Q8—1181no—
1576Q8—1181no—
1577Q8—2361no—
1578Q8—2362no—
1579Q8—2362no—
1580Q8#41×D5912yes—
1581D4—22no—
1582D4—21no—
1583D4—21no—
1584D4—42no—
1585D4—42no—
1586D4—592no—
1587D4—1182no—
1588D4—1181no—
1589D4—1181no—
1590D4—1181no—
1591D4—1181no—
1592D4—1181no—
1593D4—4721no—
1594D4—4721no—
1595D4—4721no—
1596D4—2362no—
1597D4—2362no—
1598D4—2362no—
1599D4—2362no—
1600D4—2361no—
1601D4—2362no—
1602D4—2362no—
1603D4—2362no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—42no—
1616C2×C4—42no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—591no—
1620C2×C4—591no—
1621C2×C4—591no—
1622C2×C4—591no—
1623C2×C4—591no—
1624C2×C4—591no—
1625C2×C4—591no—
1626C2×C4—1182no—
1627C2×C4—1182no—
1628C2×C4—1182no—
1629C2×C4—1182no—
1630C2×C4—1181no—
1631C2×C4—1181no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—4721no—
1638C2×C4—4721no—
1639C2×C4—4721no—
1640C2×C4—4721no—
1641C2×C4—2361no—
1642C2×C4—2362no—
1643C2×C4—2362no—
1644C2×C4—2362no—
1645C2×C4—2362no—
1646C2×C4—2362no—
1647C2×C4—2362no—
1648C2×C4—2362no—
1649C2×C4—2362no—
1650C2×C4—2361no—
1651C2×C4—2362no—
1652C2×C4—2362no—
1653C2×C4C2×D4×D5911yescharacteristic
1654C2×C4C2×D4×D5911yescharacteristic
1655C2×C4C2×D4×D5911yescharacteristic
1656C2×C4C2×D4×D5911yescharacteristic
1657C2×C4C24×D5911yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—592no—
1663C8—1181no—
1664C8—1181no—
1665C8—1181no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—1181no—
1675C22—1181no—
1676C22—1181no—
1677C22—1182no—
1678C22—4724no—
1679C22—4724no—
1680C22—2361no—
1681C22—2361no—
1682C22—2361no—
1683C22—2361no—
1684C22—2361no—
1685C22—2361no—
1686C22—2361no—
1687C22—2361no—
1688C22#1683820112yes—
1689C22C22×D4×D5911yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—22no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—592no—
1702C4—1181no—
1703C4—1181no—
1704C4—1181no—
1705C4—1181no—
1706C4—1181no—
1707C4—1181no—
1708C4—2361no—
1709C4—2361no—
1710C4—2361no—
1711C4—2361no—
1712C4—2361no—
1713C4C2×#41×D5911yescharacteristic
1714C4#1683823711yescharacteristic
1715C2—22no—
1716C2—41no—
1717C2—81no—
1718C2—4721no—
1719C2—4721no—
1720C2—2361no—
1721C2—2362no—
1722C2#2143758011yescharacteristic
1723C2C2×#1683820111yescharacteristic
1724C2#577×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3316C2
socleC22×C59C23×D4
hypercenter#3316D59
hypocenterC59#61445
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3316

Complements

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

NH ≅ G/Ntype
1. #21437712C2semidirect
2. #21437707C2semidirect
3. #21437165C2semidirect
4. #21437048C2semidirect
5. #21436922C2semidirect
6. #21436865C2semidirect
7. #21436659C2semidirect
8. #21436564C2semidirect
9. #21436545C2semidirect
10. #21436350C2semidirect
11. #21436318C2semidirect
12. #21436263C2semidirect
13. #21436119C2semidirect
14. #21436063C2semidirect
15. #21435720C2semidirect
16. #21435599C2semidirect
17. #21435592C2semidirect
18. #21434697C2semidirect
19. #21434694C2semidirect
20. #21434659C2semidirect
21. #21434177C2semidirect
22. #21434140C2semidirect
23. #21434129C2semidirect
24. #21434115C2semidirect
25. #21434113C2semidirect
26. #21434101C2semidirect
27. #21433056C2semidirect
28. #21432912C2semidirect
29. #21432909C2semidirect
30. C2×#16837487C2semidirect
31. C59×#3316C2semidirect
36. #16838128C22semidirect
38. #16838121C22semidirect
46. #16838086C22semidirect
49. Q8×C22⋊D59C22semidirect
50. #16838059C22semidirect
52. #16838052C22semidirect
58. #16837954C22semidirect
64. #16837933C22semidirect
66. #16837931C22semidirect
69. #41×Dic59C22semidirect
73. C2×Q8×Dic59C22semidirect
74. C4×Q8×D59C22semidirect
78. #16837809C22semidirect
79. #16837808C22semidirect
80. #16837802C22semidirect
81. #16837795C22semidirect
83. #16837783C22semidirect
84. #16837769C22semidirect
86. #16837763C22semidirect
87. #16837758C22semidirect
88. #16837755C22semidirect
89. #16837741C22semidirect
90. #16837740C22semidirect
91. #16837737C22semidirect
92. #16837732C22semidirect
93. #16837730C22semidirect
95. #16837724C22semidirect
96. #16837722C22semidirect
97. #16837722C22semidirect
99. #16837711C22semidirect
100. #16837711C22semidirect
101. #16837709C22semidirect
102. #16837707C22semidirect
105. #16837701C22semidirect
106. #16837700C22semidirect
108. #16837691C22semidirect
109. #16837684C22semidirect
110. #16837658C22semidirect
111. #16837654C22semidirect
112. #16837654C22semidirect
113. #16837651C22semidirect
114. #16837651C22semidirect
117. #16837641C22semidirect
120. #16837626C22semidirect
121. #16837626C22semidirect
122. #16837626C22semidirect
123. #16837619C22semidirect
125. #16837616C22semidirect
128. #16837606C22semidirect
137. #16837542C22semidirect
138. #16837542C22semidirect
141. #16837531C22semidirect
142. #16837530C22semidirect
144. #16837511C22semidirect
145. #16837507C22semidirect
147. #16837505C22semidirect
150. Q16×Dic59C22semidirect
151. Q16×Dic59C22semidirect
152. #16837494C22semidirect
153. SD16×Dic59C22semidirect
155. #16837489C22semidirect
156. #16837489C22semidirect
161. #16837487C22semidirect
162. #16837487C22semidirect
163. #16837487C22semidirect
164. #16837487C22semidirect
165. #16837487C22semidirect
166. #16837487C22semidirect
168. #16837482C22semidirect
169. #16837482C22semidirect
170. #16837478C22semidirect
171. #16837477C22semidirect
173. #16837473C22semidirect
174. #16837470C22semidirect
175. #16837454C22semidirect
176. #16837452C22semidirect
177. #16837452C22semidirect
178. #16837442C22semidirect
179. #16837441C22semidirect
180. C2×#14273658C22semidirect
181. #16837409C22semidirect
185. #16837354C22semidirect
186. M16×Dic59C22semidirect
187. C2×C8×Dic59C22semidirect
190. C59×#489C22semidirect
191. C59×#483C22semidirect
192. C59×#481C22semidirect
193. C59×#475C22semidirect
194. C59×#470C22semidirect
195. C59×#465C22semidirect
196. C59×#464C22semidirect
197. C59×#452C22semidirect
198. C59×#451C22semidirect
199. C59×#441C22semidirect
201. C59×#417C22semidirect
202. C2×#103×C59C22semidirect
605. #11745671#41semidirect
865. #3316D59semidirect
951. #489C2×D59semidirect
959. #483C2×D59semidirect
964. #481C2×D59semidirect
977. #475C2×D59semidirect
979. #470C2×D59semidirect
989. #465C2×D59semidirect
993. #464C2×D59semidirect
1003. #452C2×D59semidirect
1004. #451C2×D59semidirect
1019. #441C2×D59semidirect
1059. #417C2×D59semidirect
1060. C2×#103C2×D59semidirect
1065. C59#61445semidirect

Maximal subgroups

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

subgroupindex
#214377122
#214377072
#214371652
#214370482
#214369222
#214368652
#214366592
#214365642
#214365452
#214363502
#214363182
#214362632
#214361192
#214360632
#214357202
#214355992
#214355922
#214346972
#214346942
#214346592
#214341772
#214341402
#214341292
#214341152
#214341132
#214341012
#214330562
#214329122
#214329092
C2×#168374872
C59×#33162
#6144559