Finite Group Databasebeta

← #29471266

Subgroups — #29471266

Order 15104.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438188C211yesmaximal, characteristic, complemented
2#21438118C211yesmaximal, characteristic
3#21437072C211yesmaximal, characteristic, complemented
4#21436966C211yesmaximal, characteristic, complemented
5#21436872C211yesmaximal, characteristic, complemented
6#21436828C211yesmaximal, characteristic, complemented
7#21436502C211yesmaximal, characteristic, complemented
8#21436482C211yesmaximal, characteristic, complemented
9#21436478C211yesmaximal, characteristic, complemented
10#21436388C211yesmaximal, characteristic, complemented
11#21436320C211yesmaximal, characteristic, complemented
12#21436274C211yesmaximal, characteristic, complemented
13#21436270C211yesmaximal, characteristic, complemented
14#21436114C211yesmaximal, characteristic, complemented
15#21436110C211yesmaximal, characteristic, complemented
16#21435795C211yesmaximal, characteristic, complemented
17#21435790C211yesmaximal, characteristic, complemented
18#21435790C211yesmaximal, characteristic, complemented
19#21434725C211yesmaximal, characteristic, complemented
20#21434722C211yesmaximal, characteristic, complemented
21#21434652C211yesmaximal, characteristic, complemented
22#21434388C211yesmaximal, characteristic, complemented
23#21434384C211yesmaximal, characteristic, complemented
24#21434345C211yesmaximal, characteristic, complemented
25#21434216C211yesmaximal, characteristic, complemented
26#21434193C211yesmaximal, characteristic, complemented
27#21433069C211yesmaximal, characteristic, complemented
28#21432953C211yesmaximal, characteristic, complemented
29#21432952C211yesmaximal, characteristic, complemented
30C4×SD16×D59C211yesmaximal, characteristic, complemented
31C59×#3123C211yesmaximal, characteristic, complemented
32C22×#11745670C2211yescharacteristic
33C2×SD16×D59C2211yescharacteristic
34C2×SD16×D59C2211yescharacteristic
35#16838129—21no—
36#16838129C2211yescharacteristic, complemented
37#16838127C2211yescharacteristic, complemented
38#16838123C2211yescharacteristic, complemented
39#16838119—21no—
40#16838115C2211yescharacteristic
41#16838111C2211yescharacteristic
42#16838102C2211yescharacteristic
43#16838101—21no—
44#16838096C2211yescharacteristic
45#16838090C2211yescharacteristic, complemented
46#16838088—21no—
47#16838086C2211yescharacteristic, complemented
48#16838084—21no—
49#16838073C2211yescharacteristic
50#16838067C2211yescharacteristic, complemented
51#16838065C2211yescharacteristic, complemented
52#16838065C2211yescharacteristic, complemented
53#16838048—21no—
54#16838042—21no—
55#16838042—21no—
56D4×D236C2211yescharacteristic
57D4×C22⋊D59C2211yescharacteristic
58D4×C22⋊D59C2211yescharacteristic
59#16838011—21no—
60#16838010C2211yescharacteristic, complemented
61#16838009—21no—
62#16838007C2211yescharacteristic
63#16838003C2211yescharacteristic
64#16837990—21no—
65#16837985—21no—
66#16837958—21no—
67#16837956C2211yescharacteristic, complemented
68#16837949C2211yescharacteristic
69#16837935—21no—
70#16837930C2211yescharacteristic
71#16837911—21no—
72C2×#14273700—21no—
73#16837879C2211yescharacteristic, complemented
74#16837878C2211yescharacteristic, complemented
75#16837874C2211yescharacteristic
76C4×Q8×D59C2211yescharacteristic, complemented
77C4×D4×D59C2211yescharacteristic
78#16837803C2211yescharacteristic, complemented
79#16837801C2211yescharacteristic, complemented
80#16837799C2211yescharacteristic, complemented
81#16837776C2211yescharacteristic, complemented
82#16837773C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic, complemented
84#16837770C2211yescharacteristic, complemented
85#16837769C2211yescharacteristic, complemented
86#16837768C2211yescharacteristic, complemented
87#16837765C2211yescharacteristic, complemented
88#16837751C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837746C2211yescharacteristic, complemented
91#16837741C2211yescharacteristic, complemented
92#16837739C2211yescharacteristic, complemented
93#16837736C2211yescharacteristic, complemented
94#16837728C2211yescharacteristic, complemented
95#16837727C2211yescharacteristic, complemented
96#16837727C2211yescharacteristic, complemented
97#16837725C2211yescharacteristic, complemented
98#16837717C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837712C2211yescharacteristic, complemented
101#16837710C2211yescharacteristic, complemented
102#16837710C2211yescharacteristic, complemented
103#16837707C2211yescharacteristic, complemented
104#16837704C2211yescharacteristic
105#16837701C2211yescharacteristic, complemented
106#16837696C2211yescharacteristic, complemented
107#16837695C2211yescharacteristic, complemented
108#16837681C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic
110#16837650C2211yescharacteristic, complemented
111#16837650C2211yescharacteristic, complemented
112#16837649C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic, complemented
114#16837634C2211yescharacteristic, complemented
115#16837634C2211yescharacteristic, complemented
116#16837633C2211yescharacteristic, complemented
117#16837633C2211yescharacteristic, complemented
118#16837632C2211yescharacteristic, complemented
119#16837630C2211yescharacteristic, complemented
120#16837630C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837606C2211yescharacteristic, complemented
123#16837606C2211yescharacteristic, complemented
124#16837605C2211yescharacteristic
125#16837605C2211yescharacteristic
126#16837603C2211yescharacteristic, complemented
127#16837603C2211yescharacteristic, complemented
128#16837601C2211yescharacteristic, complemented
129#16837601C2211yescharacteristic, complemented
130#16837600C2211yescharacteristic, complemented
131#16837600C2211yescharacteristic, complemented
132#16837554C2211yescharacteristic
133#16837554C2211yescharacteristic
134#16837551C2211yescharacteristic
135#16837551C2211yescharacteristic
136#16837543C2211yescharacteristic, complemented
137#16837543C2211yescharacteristic, complemented
138#16837542C2211yescharacteristic, complemented
139#16837542C2211yescharacteristic, complemented
140#16837539C2211yescharacteristic, complemented
141#16837539C2211yescharacteristic, complemented
142#16837531C2211yescharacteristic, complemented
143#16837526C2211yescharacteristic, complemented
144#16837504C2211yescharacteristic, complemented
145#16837504C2211yescharacteristic, complemented
146#16837503C2211yescharacteristic
147#16837502C2211yescharacteristic
148#16837502C2211yescharacteristic
149#16837502C2211yescharacteristic, complemented
150#16837502C2211yescharacteristic, complemented
151#16837501C2211yescharacteristic, complemented
152#16837500C2211yescharacteristic, complemented
153#16837500C2211yescharacteristic, complemented
154#16837493C2211yescharacteristic
155#16837493C2211yescharacteristic
156C4×#11745660C2211yescharacteristic, complemented
157C4×#11745660C2211yescharacteristic, complemented
158SD16×Dic59C2211yescharacteristic
159C4×#11745671C2211yescharacteristic, complemented
160C4×#11745671C2211yescharacteristic, complemented
161#16837489C2211yescharacteristic, complemented
162C4×#11745670C2211yescharacteristic
163C4×#11745670C2211yescharacteristic
164C4×#11745670C2211yescharacteristic, complemented
165C4×#11745670C2211yescharacteristic, complemented
166#16837487C2211yescharacteristic, complemented
167#16837487C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837476C2211yescharacteristic, complemented
170#16837472C2211yescharacteristic, complemented
171#16837467C2211yescharacteristic, complemented
172(C22⋊D59)⋊C8C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837461C2211yescharacteristic, complemented
175#16837457C2211yescharacteristic, complemented
176#16837439C2211yescharacteristic, complemented
177#16837438C2211yescharacteristic, complemented
178#106×D59C2211yescharacteristic, complemented
179#16837410C2211yescharacteristic, complemented
180#16837409C2211yescharacteristic, complemented
181#16837407C2211yescharacteristic
182#16837405C2211yescharacteristic
183#103×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic
185#16837359C2211yescharacteristic, complemented
186#16837358C2211yescharacteristic, complemented
187C4×C8×D59C2211yescharacteristic, complemented
188C59×#541C2211yescharacteristic, complemented
189C59×#518C2211yescharacteristic
190C59×#485C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#478C2211yescharacteristic
193C59×#478C2211yescharacteristic, complemented
194C59×#461C2211yescharacteristic
195C59×#461C2211yescharacteristic, complemented
196C59×#450C2211yescharacteristic
197C59×#450C2211yescharacteristic
198C59×#440C2211yescharacteristic
199C59×#440C2211yescharacteristic, complemented
200C4×SD16×C59C2211yescharacteristic
201C4×SD16×C59C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685—21no—
205C22×Dic118C2311yescharacteristic
206C2×Q8×D59C2311yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C22×D236—21no—
209C22×C22⋊D59—21no—
210C22×C22⋊D59—21no—
211C2×D4×D59C2311yescharacteristic
212C2×D4×D59C2311yescharacteristic
213C22×C4×D59—21no—
214C2×#11745660C2311yescharacteristic
215C2×#11745660C2311yescharacteristic
216C2×#11745660C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745670—24no—
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227SD16×D59—24no—
228SD16×D59—24no—
229C2×#11745664C2311yescharacteristic
230C2×#11745659C2311yescharacteristic
231C22×C59⋊C8C2311yescharacteristic
232C2×C8×D59C2311yescharacteristic
233C2×C8×D59C2311yescharacteristic
234C2×C8×D59C2311yescharacteristic
235#14273726—21no—
236#14273726—21no—
237#14273726—21no—
238#14273726—21no—
239#14273726C2311yescharacteristic
240#14273726C2311yescharacteristic
241#14273725C2311yescharacteristic
242#14273725C2311yescharacteristic
243#14273724C2311yescharacteristic
244#14273723C2311yescharacteristic
245#14273723C2311yescharacteristic
246#14273722—21no—
247#14273722—21no—
248#14273722—21no—
249#14273722D411yescharacteristic
250#14273721—21no—
251#14273721—21no—
252#14273720—21no—
253#14273720—21no—
254#14273720—21no—
255#14273720D411yescharacteristic
256#14273719—21no—
257#14273719C2311yescharacteristic
258#14273718—21no—
259#14273718—21no—
260#14273718C2311yescharacteristic
261#14273718C2311yescharacteristic
262#14273717—21no—
263#14273717—21no—
264#14273717—21no—
265#14273717—21no—
266#14273717—21no—
267#14273717—21no—
268#14273717—21no—
269#14273717D411yescharacteristic
270#14273715—21no—
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273713D411yescharacteristic
275#14273712—21no—
276#14273712—21no—
277#14273712—21no—
278#14273712D411yescharacteristic
279#14273710—21no—
280#14273710—21no—
281#14273709—21no—
282#14273709—21no—
283#14273709—21no—
284#14273709D411yescharacteristic
285#14273707C2311yescharacteristic
286#14273707C2311yescharacteristic
287#14273706—21no—
288#14273705—21no—
289#14273705—21no—
290#14273705—21no—
291#14273705—21no—
292#14273705—21no—
293#14273705D411yescharacteristic
294#14273704—21no—
295#14273704—21no—
296#14273704—21no—
297#14273704—21no—
298#14273703C2311yescharacteristic
299#14273703C2311yescharacteristic
300#14273702C2311yescharacteristic
301#14273702C2311yescharacteristic
302#14273701—21no—
303#14273701—21no—
304#14273701—21no—
305#14273701C2311yescharacteristic
306#14273701C2311yescharacteristic
307#14273700—21no—
308#14273700—21no—
309#14273700—21no—
310#14273700—21no—
311#14273700—21no—
312#14273700—21no—
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273700D411yescharacteristic
317#14273699—21no—
318#14273699—21no—
319#14273698C2311yescharacteristic
320#14273698C2311yescharacteristic
321#14273697—21no—
322#14273697—21no—
323#14273696—21no—
324#14273696—21no—
325#14273695—21no—
326#14273695—21no—
327Q8×Dic59C2311yescharacteristic
328Q8×Dic59C2311yescharacteristic
329C4×Dic118—21no—
330C4×Dic118—21no—
331C4×Dic118—21no—
332C4×Dic118C2311yescharacteristic
333C4×Dic118C2311yescharacteristic
334C4×Dic118C2311yescharacteristic
335C4×Dic118C2311yescharacteristic
336C4×Dic118C2311yescharacteristic
337#14273692—21no—
338#14273692—21no—
339#14273692—21no—
340#14273692—21no—
341#14273692—21no—
342#14273692—21no—
343#14273692—21no—
344#14273692C2311yescharacteristic
345#14273692C2311yescharacteristic
346C4×D236—21no—
347C4×D236C2311yescharacteristic
348C4×D236C2311yescharacteristic
349C4×D236C2311yescharacteristic
350D4×Dic59C2311yescharacteristic
351D4×Dic59C2311yescharacteristic
352#14273689—21no—
353#14273689C2311yescharacteristic
354#14273689C2311yescharacteristic
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59—21no—
358C4×C22⋊D59—21no—
359C4×C22⋊D59C2311yescharacteristic
360C4×C22⋊D59C2311yescharacteristic
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365#14273686C2311yescharacteristic
366#14273685—21no—
367#14273685—21no—
368#14273685—21no—
369#14273685C2311yescharacteristic
370#14273685C2311yescharacteristic
371#14273684—21no—
372#14273684—21no—
373#14273684—21no—
374#14273684C2311yescharacteristic
375#14273683—21no—
376#14273683—21no—
377C2×Dic59⋊C4—21no—
378C4⋊C4×D59—21no—
379C4⋊C4×D59C2311yescharacteristic
380C4⋊C4×D59C2311yescharacteristic
381C2×(C2×D59)⋊C4—21no—
382C22⋊C4×D59—21no—
383C22⋊C4×D59—21no—
384C42×D59—21no—
385C42×D59C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430#14273638C2311yescharacteristic
431#14273638C2311yescharacteristic
432#14273637C2311yescharacteristic
433C4×C59⋊C8C2311yescharacteristic
434C4×C59⋊C8C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C22×D4×C59C2311yescharacteristic
439C2×SD16×C59C2311yescharacteristic
440C2×SD16×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C4⋊Q8×C59C2311yescharacteristic
444#126×C59—21no—
445#126×C59—21no—
446#125×C59—21no—
447#125×C59—21no—
448#125×C59C2311yescharacteristic
449C22⋊Q8×C59C2311yescharacteristic
450C22⋊Q8×C59C2311yescharacteristic
451C4×Q8×C59C2311yescharacteristic
452C4×Q8×C59C2311yescharacteristic
453C4×D4×C59—21no—
454C4×D4×C59—21no—
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459#117×C59C2311yescharacteristic
460#117×C59C2311yescharacteristic
461C2×C22⋊C4×C59—21no—
462C2×C22⋊C4×C59—21no—
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477C22⋊C8×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480C4×C8×C59C2311yescharacteristic
481C24×C59—21no—
482C23×D59—21no—
483C23×D59—21no—
484C2×Q8×C59C2411yescharacteristic
485C2×Q8×C59C2411yescharacteristic
486C2×D4×C59—22no—
487C2×D4×C59—21no—
488C2×D4×C59—41no—
489C2×D4×C59C2411yescharacteristic
490C2×D4×C59C2411yescharacteristic
491C22×C4×C59—21no—
492C22×C4×C59—21no—
493C22×C4×C59—21no—
494C22×C4×C59—21no—
495C22×C4×C59C2411yescharacteristic
496C2×C22⋊D59—21no—
497C2×C22⋊D59—21no—
498C2×C22⋊D59—21no—
499C2×C22⋊D59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—82no—
507C2×C22⋊D59—82no—
508C2×C22⋊D59C2×D411yescharacteristic
509C2×C22⋊D59C2×D411yescharacteristic
510C22×Dic59—21no—
511C22×Dic59—21no—
512C22×Dic59—21no—
513Q8×D59—22no—
514Q8×D59—22no—
515Q8×D59—41no—
516Q8×D59—41no—
517D4×D59—22no—
518D4×D59—22no—
519D4×D59—41no—
520D4×D59—41no—
521#11745685—82no—
522#11745685—82no—
523C2×D236—21no—
524C2×D236—21no—
525C2×D236—21no—
526C2×D236—21no—
527C2×D236—82no—
528C2×D236C2×D411yescharacteristic
529C2×D236C2411yescharacteristic
530C2×D236C2411yescharacteristic
531C2×C4×D59—21no—
532C2×C4×D59—21no—
533C2×C4×D59—21no—
534C2×C4×D59—21no—
535C2×C4×D59—21no—
536C2×C4×D59—21no—
537C2×C4×D59—21no—
538C2×C4×D59—21no—
539C2×C4×D59—82no—
540C2×C4×D59C2×D411yescharacteristic
541C2×C4×D59C2×D411yescharacteristic
542C2×C4×D59C2411yescharacteristic
543C2×C4×D59C2411yescharacteristic
544C2×Dic118—22no—
545C2×Dic118—21no—
546C2×Dic118—21no—
547C2×Dic118—21no—
548C2×Dic118—21no—
549C2×Dic118—21no—
550C2×Dic118—41no—
551C2×Dic118C2×D411yescharacteristic
552C2×Dic118C2411yescharacteristic
553C2×Dic118C2411yescharacteristic
554SD16×C59—22no—
555SD16×C59—22no—
556SD16×C59—41no—
557SD16×C59—41no—
558C2×C8×C59C2411yescharacteristic
559C2×C8×C59C2411yescharacteristic
560C2×C8×C59C2411yescharacteristic
561C2×C8×C59C2411yescharacteristic
562C4⋊C4×C59—21no—
563C4⋊C4×C59—21no—
564C4⋊C4×C59—21no—
565C4⋊C4×C59—21no—
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59C2×D411yescharacteristic
571C4⋊C4×C59C2×D411yescharacteristic
572C4⋊C4×C59C2411yescharacteristic
573C4⋊C4×C59C2411yescharacteristic
574C4⋊C4×C59C2411yescharacteristic
575C4⋊C4×C59C2411yescharacteristic
576C22⋊C4×C59—21no—
577C22⋊C4×C59—21no—
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59C2×D411yescharacteristic
584C22⋊C4×C59C2×D411yescharacteristic
585C42×C59—21no—
586C42×C59—21no—
587C42×C59—21no—
588C42×C59C2411yescharacteristic
589C42×C59C2411yescharacteristic
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59C2×D411yescharacteristic
596C22⋊Dic59C2×D411yescharacteristic
597#11745671—22no—
598#11745671—22no—
599#11745671—41no—
600#11745671—41no—
601#11745670—22no—
602#11745670—22no—
603#11745670—22no—
604#11745670#4114yescomplemented
605(C2×D59)⋊C4—21no—
606(C2×D59)⋊C4—21no—
607(C2×D59)⋊C4—21no—
608(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
620(C2×D59)⋊C4C2×D411yescharacteristic
621(C2×D59)⋊C4C2×D411yescharacteristic
622(C2×D59)⋊C4C2×D411yescharacteristic
623(C2×D59)⋊C4C2×D411yescharacteristic
624(C2×D59)⋊C4C2×D411yescharacteristic
625C4⋊Dic59—21no—
626C4⋊Dic59—21no—
627C4⋊Dic59—21no—
628C4⋊Dic59—21no—
629C4⋊Dic59—21no—
630C4⋊Dic59—21no—
631C4⋊Dic59C2×D411yescharacteristic
632C4⋊Dic59C2×D411yescharacteristic
633C4⋊Dic59C2411yescharacteristic
634C4⋊Dic59C2411yescharacteristic
635C4⋊Dic59C2411yescharacteristic
636C4⋊Dic59C2411yescharacteristic
637Dic59⋊C4—21no—
638Dic59⋊C4—21no—
639Dic59⋊C4—21no—
640Dic59⋊C4—21no—
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
658Dic59⋊C4C2×D411yescharacteristic
659Dic59⋊C4C2×D411yescharacteristic
660Dic59⋊C4C2×D411yescharacteristic
661Dic59⋊C4C2×D411yescharacteristic
662Dic59⋊C4C2×D411yescharacteristic
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×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2411yescharacteristic
677C4×Dic59C2411yescharacteristic
678#11745664—41no—
679C2×C59⋊C8—22no—
680C2×C59⋊C8C2411yescharacteristic
681C2×C59⋊C8C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684#11745660—22no—
685#11745660—22no—
686#11745660—41no—
687#11745660—41no—
688#11745659—41no—
689C8×D59—22no—
690C8×D59—22no—
691C8×D59—41no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59—42no—
695C23×C59—81no—
696C23×C59—81no—
697C23×C59C22×D411yescharacteristic
698C22×D59—21no—
699C22×D59—21no—
700C22×D59—42no—
701C22×D59—42no—
702C22×D59—42no—
703C22×D59—81no—
704C22×D59—81no—
705C22×D59—81no—
706C22×D59C22×D411yescharacteristic
707C22×D59C22×D411yescharacteristic
708Q8×C59—21no—
709Q8×C59—21no—
710Q8×C59—21no—
711Q8×C59—21no—
712D4×C59—21no—
713D4×C59—21no—
714D4×C59—21no—
715D4×C59—42no—
716D4×C59C2×#4112yes—
717C2×C4×C59—21no—
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—81no—
726C2×C4×C59—81no—
727C2×C4×C59—81no—
728C2×C4×C59—81no—
729C2×C4×C59C22×D411yescharacteristic
730C2×C4×C59C22×D411yescharacteristic
731C2×C4×C59C22×D411yescharacteristic
732C2×C4×C59C22×D411yescharacteristic
733C2×C4×C59C22×D411yescharacteristic
734C2×C4×C59C2511yescharacteristic
735C22⋊D59—22no—
736C22⋊D59—22no—
737C22⋊D59—42no—
738C22⋊D59—42no—
739C22⋊D59—42no—
740C22⋊D59—42no—
741C22⋊D59—81no—
742C22⋊D59—81no—
743C22⋊D59—81no—
744C22⋊D59—81no—
745C22⋊D59—81no—
746C22⋊D59—81no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—42no—
754C2×Dic59—42no—
755C2×Dic59—81no—
756C2×Dic59C22×D411yescharacteristic
757C2×Dic59C22×D411yescharacteristic
758C2×Dic59C22×D411yescharacteristic
759C2×Dic59C22×D411yescharacteristic
760C2×Dic59C22×D411yescharacteristic
761C2×Dic59C22×D411yescharacteristic
762D236—22no—
763D236—21no—
764D236—21no—
765D236—21no—
766D236—21no—
767D236—42no—
768D236—81no—
769D236—81no—
770D236—81no—
771C4×D59—22no—
772C4×D59—21no—
773C4×D59—21no—
774C4×D59—21no—
775C4×D59—21no—
776C4×D59—22no—
777C4×D59—42no—
778C4×D59—42no—
779C4×D59—42no—
780C4×D59—42no—
781C4×D59—81no—
782C4×D59—81no—
783C4×D59—81no—
784C4×D59—81no—
785Dic118—21no—
786Dic118—22no—
787Dic118—21no—
788Dic118—21no—
789Dic118—42no—
790Dic118—42no—
791Dic118—42no—
792Dic118—42no—
793Dic118—81no—
794Dic118C2×#4112yes—
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#61481—591nomaximal, Sylow
804C22×C59—21no—
805C22×C59—22no—
806C22×C59—21no—
807C22×C59—21no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—162no—
814C22×C59C23×D411yescharacteristic
815C2×D59—21no—
816C2×D59—21no—
817C2×D59—21no—
818C2×D59—21no—
819C2×D59—21no—
820C2×D59—41no—
821C2×D59—41no—
822C2×D59—41no—
823C2×D59—41no—
824C2×D59—41no—
825C2×D59—41no—
826C2×D59—84no—
827C2×D59—162no—
828C2×D59#57712yes—
829C4×C59—21no—
830C4×C59—21no—
831C4×C59—21no—
832C4×C59—21no—
833C4×C59—21no—
834C4×C59—41no—
835C4×C59—41no—
836C4×C59—41no—
837C4×C59—41no—
838C4×C59—41no—
839C4×C59—41no—
840C4×C59C22×#4111yescharacteristic
841C4×C59#58511yescharacteristic
842Dic59—22no—
843Dic59—21no—
844Dic59—21no—
845Dic59—21no—
846Dic59—21no—
847Dic59—21no—
848Dic59—41no—
849Dic59—41no—
850Dic59—41no—
851Dic59—41no—
852Dic59—41no—
853Dic59#57712yes—
854#3523—591no—
855#3519—591no—
856#3392—591no—
857#3381—591no—
858#3372—591no—
859#3368—591no—
860#3340—591no—
861#3337—591no—
862#3337—591no—
863#3329—591no—
864#3324—591no—
865#3320—591no—
866#3320—591no—
867#3310—591no—
868#3310—591no—
869D4×SD16—591no—
870D4×SD16—591no—
871D4×SD16—591no—
872#3174—591no—
873#3174—591no—
874#3167—591no—
875#3126—591no—
876#3126—591no—
877#3123—591no—
878#3123D5911yescharacteristic, complemented
879#3112—591no—
880#3110—591no—
881#2966—591no—
882#2949—591no—
883#2949—591no—
884C2×C4×SD16—591no—
885C2×C59—42no—
886C2×C59—41no—
887C2×C59—81no—
888C2×C59D4×#4111yescharacteristic
889C2×C59C2×#57711yescharacteristic
890C2×C59C2×#57711yescharacteristic
891D59—22no—
892D59—41no—
893D59—81no—
894D59—81no—
895C22×SD16—591no—
896C22×SD16—591no—
897C22×SD16—591no—
898#557—591no—
899#557—591no—
900#557—1181no—
901#556—591no—
902#556—1181no—
903#555—591no—
904#554—591no—
905#553—591no—
906#553—591no—
907#553—1181no—
908#552—591no—
909#552—591no—
910#552—1181no—
911#552—1181no—
912#550—591no—
913D4×Q8—591no—
914D4×Q8—591no—
915D4×Q8—591no—
916#546—1181no—
917#546—1181no—
918#546—1181no—
919D42—591no—
920D42—591no—
921D42—591no—
922#541—591no—
923#541—1181no—
924#541—1181no—
925#541C2×D5911yescharacteristic, complemented
926#540—591no—
927#540—591no—
928#538—1181no—
929#538—1181no—
930#533—591no—
931#533—1181no—
932#532—591no—
933#529—591no—
934#529—1181no—
935#525—1181no—
936C2×#121—1181no—
937#519—591no—
938#519—591no—
939#518—591no—
940#518C2×D5911yescharacteristic
941C2×C4×Q8—591no—
942C2×C4×D4—591no—
943#499—591no—
944#499—591no—
945#498—591no—
946#492—591no—
947#492—591no—
948#492—591no—
949#491—591no—
950#491—591no—
951#490—591no—
952#490—591no—
953#487—591no—
954#486—591no—
955#485—591no—
956#485—591no—
957#485C2×D5911yescharacteristic, complemented
958#485C2×D5911yescharacteristic, complemented
959#484—591no—
960#484—591no—
961#482—591no—
962#482—591no—
963#482—591no—
964#482—591no—
965#480—591no—
966#480—591no—
967#479—591no—
968#479—591no—
969#479—591no—
970#479—591no—
971#478—591no—
972#478—591no—
973#478C2×D5911yescharacteristic
974#478C2×D5911yescharacteristic, complemented
975#477—591no—
976#477—591no—
977#474—591no—
978#474—591no—
979#468—591no—
980#468—591no—
981#468—591no—
982#468—591no—
983#465—591no—
984#465—591no—
985#465—591no—
986#465—591no—
987#465—591no—
988#465—591no—
989#465—591no—
990#465—591no—
991#461—591no—
992#461—591no—
993#461—591no—
994#461—591no—
995#461C2×D5911yescharacteristic
996#461C2×D5911yescharacteristic, complemented
997#460—591no—
998#460—591no—
999#460—591no—
1000#460—591no—
1001#460—591no—
1002#460—591no—
1003#450—591no—
1004#450—591no—
1005#450—591no—
1006#450—591no—
1007#450C2×D5911yescharacteristic
1008#450C2×D5911yescharacteristic
1009#448—591no—
1010#448—591no—
1011#448—591no—
1012#448—591no—
1013#448—591no—
1014#448—591no—
1015#446—591no—
1016C8×Q8—591no—
1017#440—591no—
1018#440—591no—
1019#440—591no—
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440—591no—
1024#440—591no—
1025#440—591no—
1026#440—591no—
1027#440C2×D5911yescharacteristic
1028#440C2×D5911yescharacteristic, complemented
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×SD16—591no—
1042C4×SD16—591no—
1043C4×SD16C2×D5911yescharacteristic
1044C4×SD16C2×D5911yescharacteristic, complemented
1045#436—591no—
1046#435—591no—
1047#435—591no—
1048C8×D4—591no—
1049C8×D4—591no—
1050C8×D4—591no—
1051#433—591no—
1052#433C2×D5911yescharacteristic, complemented
1053#432—591no—
1054#427—591no—
1055#427—591no—
1056C2×#106—591no—
1057#419—591no—
1058#419—591no—
1059#418—591no—
1060#418—591no—
1061C2×#103—591no—
1062C2×#102—591no—
1063#405—591no—
1064#405—591no—
1065C2×C4×C8—591no—
1066C59#6148111yescharacteristic, complemented, Sylow
1067C2×#41—1181no—
1068C2×#41—1181no—
1069C22×Q8—591no—
1070C22×Q8—591no—
1071C22×Q8—591no—
1072C22×D4—591no—
1073C22×D4—591no—
1074C22×D4—1181no—
1075C22×D4—1181no—
1076C22×D4—1181no—
1077C22×D4C22×D5911yescharacteristic
1078C23×C4—1181no—
1079C2×SD16—591no—
1080C2×SD16—591no—
1081C2×SD16—591no—
1082C2×SD16—591no—
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—1184no—
1092C2×SD16—1184no—
1093C2×SD16—1184no—
1094C2×SD16C22×D5911yescharacteristic
1095C2×SD16C22×D5911yescharacteristic
1096C2×SD16C22×D5911yescharacteristic
1097C2×SD16C22×D5911yescharacteristic
1098C2×M16—591no—
1099C2×M16—591no—
1100C22×C8—591no—
1101C22×C8—591no—
1102C22×C8—591no—
1103C22×C8—591no—
1104C4⋊Q8—591no—
1105C4⋊Q8—591no—
1106C4⋊Q8—591no—
1107C4⋊Q8—591no—
1108C4⋊Q8—1181no—
1109C4⋊Q8—1181no—
1110C4⋊Q8—1181no—
1111C4⋊Q8—1181no—
1112C4⋊Q8C22×D5911yescharacteristic
1113#127—591no—
1114#127—591no—
1115#127—591no—
1116#126—21no—
1117#126—21no—
1118#126—591no—
1119#126—591no—
1120#126—1181no—
1121#126—1181no—
1122#126—1181no—
1123#126—1181no—
1124#126—1181no—
1125#126—1181no—
1126#126—1181no—
1127#126—1181no—
1128#125—21no—
1129#125—21no—
1130#125—591no—
1131#125—591no—
1132#125—591no—
1133#125—591no—
1134#125—1181no—
1135#125—1181no—
1136#125—1181no—
1137#125—1181no—
1138#125—1181no—
1139#125—1181no—
1140#125—1181no—
1141#125—1181no—
1142#125—1181no—
1143#125—1181no—
1144#125C22×D5911yescharacteristic
1145#124—591no—
1146#124—1181no—
1147#124—1181no—
1148#124—1181no—
1149#124—1181no—
1150#123—591no—
1151#123—591no—
1152#123—1181no—
1153#123—1181no—
1154#123—1181no—
1155#123—1181no—
1156#123—1181no—
1157#123—1181no—
1158#123—1181no—
1159#123—1181no—
1160C22⋊Q8—591no—
1161C22⋊Q8—591no—
1162C22⋊Q8—591no—
1163C22⋊Q8—591no—
1164C22⋊Q8—591no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8—1181no—
1169C22⋊Q8—1181no—
1170C22⋊Q8—1181no—
1171C22⋊Q8—1181no—
1172C22⋊Q8—1181no—
1173C22⋊Q8—1181no—
1174C22⋊Q8—1181no—
1175C22⋊Q8C22×D5911yescharacteristic
1176C22⋊Q8C22×D5911yescharacteristic
1177#121—591no—
1178#121—591no—
1179#121—591no—
1180#121—591no—
1181#121—591no—
1182#121—591no—
1183#121—591no—
1184#121—1181no—
1185#121—1181no—
1186#121—1181no—
1187#121—1181no—
1188#121—1181no—
1189#121—1181no—
1190#121—1181no—
1191#121—1181no—
1192#121—1181no—
1193#121—1181no—
1194#121—1181no—
1195#121—1181no—
1196#121—1181no—
1197#121—1181no—
1198#120—1181no—
1199#120—1181no—
1200#120—1181no—
1201#120—1181no—
1202#120—1181no—
1203#120—1181no—
1204C4×Q8—591no—
1205C4×Q8—591no—
1206C4×Q8—591no—
1207C4×Q8—591no—
1208C4×Q8—591no—
1209C4×Q8—591no—
1210C4×Q8—591no—
1211C4×Q8—591no—
1212C4×Q8—591no—
1213C4×Q8—1181no—
1214C4×Q8—1181no—
1215C4×Q8—1181no—
1216C4×Q8—1181no—
1217C4×Q8—1181no—
1218C4×Q8—1181no—
1219C4×Q8—1181no—
1220C4×Q8—1181no—
1221C4×Q8—1181no—
1222C4×Q8—1181no—
1223C4×Q8C22×D5911yescharacteristic
1224C4×Q8C22×D5911yescharacteristic
1225C4×D4—21no—
1226C4×D4—21no—
1227C4×D4—591no—
1228C4×D4—591no—
1229C4×D4—591no—
1230C4×D4—591no—
1231C4×D4—591no—
1232C4×D4—591no—
1233C4×D4—591no—
1234C4×D4—591no—
1235C4×D4—591no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4—1181no—
1239C4×D4—1181no—
1240C4×D4—1181no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4—1181no—
1244C4×D4—1181no—
1245C4×D4—1181no—
1246C4×D4C22×D5911yescharacteristic
1247C4×D4C22×D5911yescharacteristic
1248C4×D4C22×D5911yescharacteristic
1249C4×D4C22×D5911yescharacteristic
1250#117—591no—
1251#117—591no—
1252#117—591no—
1253#117—591no—
1254#117—1181no—
1255#117—1181no—
1256#117—1181no—
1257#117—1181no—
1258#117—1181no—
1259#117—1181no—
1260#117—1181no—
1261#117—1181no—
1262#117C22×D5911yescharacteristic
1263#117C22×D5911yescharacteristic
1264C2×C4⋊C4—591no—
1265C2×C4⋊C4—591no—
1266C2×C4⋊C4—1181no—
1267C2×C4⋊C4—1181no—
1268C2×C22⋊C4—21no—
1269C2×C22⋊C4—21no—
1270C2×C22⋊C4—1181no—
1271C2×C22⋊C4—1181no—
1272C2×C22⋊C4—1181no—
1273C2×C42—591no—
1274C2×C42—1181no—
1275#107—591no—
1276#107—591no—
1277#107—591no—
1278#107—591no—
1279#107—591no—
1280#107—591no—
1281#107C22×D5911yescharacteristic
1282#107C22×D5911yescharacteristic
1283#106—591no—
1284#106—591no—
1285#106—591no—
1286#106—591no—
1287#106—591no—
1288#106—591no—
1289#106C22×D5911yescharacteristic
1290#106C22×D5911yescharacteristic
1291C4⋊C8—591no—
1292C4⋊C8—591no—
1293C4⋊C8—591no—
1294C4⋊C8—591no—
1295C4⋊C8C22×D5911yescharacteristic
1296C4⋊C8C22×D5911yescharacteristic
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#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103C22×D5911yescharacteristic
1310#103C22×D5911yescharacteristic
1311#103C22×D5911yescharacteristic
1312#103C22×D5911yescharacteristic
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
1328#102C22×D5911yescharacteristic
1329C22⋊C8—591no—
1330C22⋊C8—591no—
1331C22⋊C8—591no—
1332C22⋊C8—591no—
1333C22⋊C8C22×D5911yescharacteristic
1334C22⋊C8C22×D5911yescharacteristic
1335#97—591no—
1336#97—591no—
1337#97—591no—
1338#97C22×D5911yescharacteristic
1339C4×C8—591no—
1340C4×C8—591no—
1341C4×C8—591no—
1342C4×C8—591no—
1343C4×C8—591no—
1344C4×C8C22×D5911yescharacteristic
1345C24—21no—
1346C24—1181no—
1347C24—1181no—
1348#41—4722no—
1349#41—4722no—
1350C2×Q8—591no—
1351C2×Q8—591no—
1352C2×Q8—591no—
1353C2×Q8—1181no—
1354C2×Q8—1181no—
1355C2×Q8—1181no—
1356C2×Q8—1181no—
1357C2×Q8—1182no—
1358C2×Q8—1181no—
1359C2×Q8—1182no—
1360C2×Q8—1182no—
1361C2×Q8—2361no—
1362C2×Q8—2361no—
1363C2×Q8—2361no—
1364C2×Q8C23×D5911yescharacteristic
1365C2×Q8C23×D5911yescharacteristic
1366C2×D4—22no—
1367C2×D4—21no—
1368C2×D4—41no—
1369C2×D4—591no—
1370C2×D4—591no—
1371C2×D4—591no—
1372C2×D4—591no—
1373C2×D4—591no—
1374C2×D4—1181no—
1375C2×D4—1181no—
1376C2×D4—1181no—
1377C2×D4—1181no—
1378C2×D4—1181no—
1379C2×D4—1181no—
1380C2×D4—1181no—
1381C2×D4—1181no—
1382C2×D4—1182no—
1383C2×D4—1182no—
1384C2×D4—1181no—
1385C2×D4—1181no—
1386C2×D4—1181no—
1387C2×D4—1181no—
1388C2×D4—1181no—
1389C2×D4—1181no—
1390C2×D4—4722no—
1391C2×D4—4722no—
1392C2×D4—4722no—
1393C2×D4—2361no—
1394C2×D4—2361no—
1395C2×D4C23×D5911yescharacteristic
1396C2×D4C23×D5911yescharacteristic
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—591no—
1402C22×C4—591no—
1403C22×C4—591no—
1404C22×C4—591no—
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—1181no—
1416C22×C4—4722no—
1417C22×C4C23×D5911yescharacteristic
1418SD16—22no—
1419SD16—22no—
1420SD16—41no—
1421SD16—41no—
1422SD16—594no—
1423SD16—1182no—
1424SD16—1182no—
1425SD16—1182no—
1426SD16—1182no—
1427SD16—1182no—
1428SD16—1182no—
1429SD16—1182no—
1430SD16—2361no—
1431SD16—2361no—
1432SD16—2361no—
1433SD16—2361no—
1434M16—2361no—
1435M16—2361no—
1436C2×C8—591no—
1437C2×C8—591no—
1438C2×C8—591no—
1439C2×C8—591no—
1440C2×C8—1182no—
1441C2×C8—1182no—
1442C2×C8—1182no—
1443C2×C8—2361no—
1444C2×C8C23×D5911yescharacteristic
1445C2×C8C23×D5911yescharacteristic
1446C2×C8C23×D5911yescharacteristic
1447C2×C8C23×D5911yescharacteristic
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—591no—
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—591no—
1467C4⋊C4—591no—
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⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4D4×D5911yescharacteristic
1495C4⋊C4D4×D5911yescharacteristic
1496C4⋊C4C23×D5911yescharacteristic
1497C4⋊C4C23×D5911yescharacteristic
1498C4⋊C4C23×D5911yescharacteristic
1499C4⋊C4C23×D5911yescharacteristic
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—591no—
1508C22⋊C4—591no—
1509C22⋊C4—591no—
1510C22⋊C4—591no—
1511C22⋊C4—591no—
1512C22⋊C4—591no—
1513C22⋊C4—591no—
1514C22⋊C4—591no—
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⋊C4—1181no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4D4×D5911yescharacteristic
1535C22⋊C4D4×D5911yescharacteristic
1536C42—21no—
1537C42—21no—
1538C42—21no—
1539C42—591no—
1540C42—591no—
1541C42—591no—
1542C42—591no—
1543C42—1181no—
1544C42—1181no—
1545C42—1181no—
1546C42—1181no—
1547C42—1181no—
1548C42—1181no—
1549C42—1181no—
1550C42—1181no—
1551C42—1181no—
1552C42—1181no—
1553C42—1181no—
1554C42C23×D5911yescharacteristic
1555C42C23×D5911yescharacteristic
1556C23—21no—
1557C23—21no—
1558C23—42no—
1559C23—81no—
1560C23—81no—
1561C23—591no—
1562C23—591no—
1563C23—1181no—
1564C23—1181no—
1565C23—4721no—
1566C23—4721no—
1567C23—4721no—
1568C23—2362no—
1569C23—2362no—
1570C23—2362no—
1571C23C2×D4×D5911yescharacteristic
1572Q8—21no—
1573Q8—21no—
1574Q8—21no—
1575Q8—21no—
1576Q8—592no—
1577Q8—1182no—
1578Q8—1181no—
1579Q8—1181no—
1580Q8—1181no—
1581Q8—4721no—
1582Q8—2362no—
1583Q8—2362no—
1584Q8—2362no—
1585Q8—2362no—
1586D4—21no—
1587D4—21no—
1588D4—21no—
1589D4—42no—
1590D4—1182no—
1591D4—1182no—
1592D4—1182no—
1593D4—1181no—
1594D4—1181no—
1595D4—1181no—
1596D4—1181no—
1597D4—4721no—
1598D4—4721no—
1599D4—4721no—
1600D4—4721no—
1601D4—4721no—
1602D4—4721no—
1603D4—4721no—
1604D4—4721no—
1605D4—4721no—
1606D4—2362no—
1607D4—2362no—
1608D4—2362no—
1609D4—2362no—
1610D4—2362no—
1611D4#41×D5912yes—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—81no—
1621C2×C4—81no—
1622C2×C4—81no—
1623C2×C4—81no—
1624C2×C4—591no—
1625C2×C4—591no—
1626C2×C4—591no—
1627C2×C4—591no—
1628C2×C4—591no—
1629C2×C4—591no—
1630C2×C4—1182no—
1631C2×C4—1182no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—4721no—
1643C2×C4—4721no—
1644C2×C4—4721no—
1645C2×C4—4721no—
1646C2×C4—4721no—
1647C2×C4—2362no—
1648C2×C4—2362no—
1649C2×C4—2362no—
1650C2×C4—2362no—
1651C2×C4—2362no—
1652C2×C4—2362no—
1653C2×C4C2×D4×D5911yescharacteristic
1654C2×C4C2×D4×D5911yescharacteristic
1655C2×C4C2×D4×D5911yescharacteristic
1656C2×C4C2×D4×D5911yescharacteristic
1657C2×C4C2×D4×D5911yescharacteristic
1658C2×C4C24×D5911yescharacteristic
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—592no—
1664C8—1181no—
1665C8—1181no—
1666C8—1181no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—22no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—162no—
1677C22—592no—
1678C22—1181no—
1679C22—1181no—
1680C22—1181no—
1681C22—1181no—
1682C22—1181no—
1683C22—9442no—
1684C22—4724no—
1685C22—2361no—
1686C22—2361no—
1687C22—2361no—
1688C22—2361no—
1689C22—2361no—
1690C22—2361no—
1691C22C22×D4×D5911yescharacteristic
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—592no—
1704C4—1181no—
1705C4—1181no—
1706C4—1181no—
1707C4—1181no—
1708C4—1181no—
1709C4—1182no—
1710C4—2361no—
1711C4—2361no—
1712C4—2361no—
1713C4—2361no—
1714C4—2361no—
1715C4C2×#41×D5911yescharacteristic
1716C4#1683823811yescharacteristic
1717C2—41no—
1718C2—42no—
1719C2—81no—
1720C2—1182no—
1721C2—4721no—
1722C2—4721no—
1723C2—2361no—
1724C2#2143757911yescharacteristic
1725C2#577×D5911yescharacteristic
1726C2#577×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3123C2
socleC22×C59C23×D4
prime radical#21438118C2
hypercenter#3123D59
hypocenterC59#61481
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3123

Complements

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

NH ≅ G/Ntype
1. #21438188C2semidirect
3. #21437072C2semidirect
4. #21436966C2semidirect
5. #21436872C2semidirect
6. #21436828C2semidirect
7. #21436502C2semidirect
8. #21436482C2semidirect
9. #21436478C2semidirect
10. #21436388C2semidirect
11. #21436320C2semidirect
12. #21436274C2semidirect
13. #21436270C2semidirect
14. #21436114C2semidirect
15. #21436110C2semidirect
16. #21435795C2semidirect
17. #21435790C2semidirect
18. #21435790C2semidirect
19. #21434725C2semidirect
20. #21434722C2semidirect
21. #21434652C2semidirect
22. #21434388C2semidirect
23. #21434384C2semidirect
24. #21434345C2semidirect
25. #21434216C2semidirect
26. #21434193C2semidirect
27. #21433069C2semidirect
28. #21432953C2semidirect
29. #21432952C2semidirect
30. C4×SD16×D59C2semidirect
31. C59×#3123C2semidirect
36. #16838129C22semidirect
37. #16838127C22semidirect
38. #16838123C22semidirect
45. #16838090C22semidirect
47. #16838086C22semidirect
50. #16838067C22semidirect
51. #16838065C22semidirect
52. #16838065C22semidirect
60. #16838010C22semidirect
67. #16837956C22semidirect
73. #16837879C22semidirect
74. #16837878C22semidirect
76. C4×Q8×D59C22semidirect
78. #16837803C22semidirect
79. #16837801C22semidirect
80. #16837799C22semidirect
81. #16837776C22semidirect
82. #16837773C22semidirect
83. #16837773C22semidirect
84. #16837770C22semidirect
85. #16837769C22semidirect
86. #16837768C22semidirect
87. #16837765C22semidirect
88. #16837751C22semidirect
89. #16837747C22semidirect
90. #16837746C22semidirect
91. #16837741C22semidirect
92. #16837739C22semidirect
93. #16837736C22semidirect
94. #16837728C22semidirect
95. #16837727C22semidirect
96. #16837727C22semidirect
97. #16837725C22semidirect
98. #16837717C22semidirect
99. #16837714C22semidirect
100. #16837712C22semidirect
101. #16837710C22semidirect
102. #16837710C22semidirect
103. #16837707C22semidirect
105. #16837701C22semidirect
106. #16837696C22semidirect
107. #16837695C22semidirect
108. #16837681C22semidirect
110. #16837650C22semidirect
111. #16837650C22semidirect
112. #16837649C22semidirect
113. #16837645C22semidirect
114. #16837634C22semidirect
115. #16837634C22semidirect
116. #16837633C22semidirect
117. #16837633C22semidirect
118. #16837632C22semidirect
119. #16837630C22semidirect
120. #16837630C22semidirect
121. #16837628C22semidirect
122. #16837606C22semidirect
123. #16837606C22semidirect
126. #16837603C22semidirect
127. #16837603C22semidirect
128. #16837601C22semidirect
129. #16837601C22semidirect
130. #16837600C22semidirect
131. #16837600C22semidirect
136. #16837543C22semidirect
137. #16837543C22semidirect
138. #16837542C22semidirect
139. #16837542C22semidirect
140. #16837539C22semidirect
141. #16837539C22semidirect
142. #16837531C22semidirect
143. #16837526C22semidirect
144. #16837504C22semidirect
145. #16837504C22semidirect
149. #16837502C22semidirect
150. #16837502C22semidirect
151. #16837501C22semidirect
152. #16837500C22semidirect
153. #16837500C22semidirect
156. C4×#11745660C22semidirect
157. C4×#11745660C22semidirect
159. C4×#11745671C22semidirect
160. C4×#11745671C22semidirect
161. #16837489C22semidirect
164. C4×#11745670C22semidirect
165. C4×#11745670C22semidirect
166. #16837487C22semidirect
167. #16837487C22semidirect
168. #16837477C22semidirect
169. #16837476C22semidirect
170. #16837472C22semidirect
171. #16837467C22semidirect
172. (C22⋊D59)⋊C8C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837461C22semidirect
175. #16837457C22semidirect
176. #16837439C22semidirect
177. #16837438C22semidirect
178. #106×D59C22semidirect
179. #16837410C22semidirect
180. #16837409C22semidirect
183. #103×D59C22semidirect
185. #16837359C22semidirect
186. #16837358C22semidirect
187. C4×C8×D59C22semidirect
188. C59×#541C22semidirect
190. C59×#485C22semidirect
191. C59×#485C22semidirect
193. C59×#478C22semidirect
195. C59×#461C22semidirect
199. C59×#440C22semidirect
201. C4×SD16×C59C22semidirect
202. C59×#433C22semidirect
604. #11745670#41semidirect
878. #3123D59semidirect
925. #541C2×D59semidirect
957. #485C2×D59semidirect
958. #485C2×D59semidirect
974. #478C2×D59semidirect
996. #461C2×D59semidirect
1028. #440C2×D59semidirect
1044. C4×SD16C2×D59semidirect
1052. #433C2×D59semidirect
1066. C59#61481semidirect

Maximal subgroups

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

subgroupindex
#214381882
#214381182
#214370722
#214369662
#214368722
#214368282
#214365022
#214364822
#214364782
#214363882
#214363202
#214362742
#214362702
#214361142
#214361102
#214357952
#214357902
#214347252
#214347222
#214346522
#214343882
#214343842
#214343452
#214342162
#214341932
#214330692
#214329532
#214329522
C4×SD16×D592
C59×#31232
#6148159