Finite Group Databasebeta

← #29470749

Subgroups — #29470749

Order 15104.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437704C211yesmaximal, characteristic, complemented
2#21437694C211yesmaximal, characteristic, complemented
3#21437179C211yesmaximal, characteristic, complemented
4#21437048C211yesmaximal, characteristic, complemented
5#21436857C211yesmaximal, characteristic, complemented
6#21436856C211yesmaximal, characteristic, complemented
7#21436645C211yesmaximal, characteristic, complemented
8#21436578C211yesmaximal, characteristic, complemented
9#21436491C211yesmaximal, characteristic, complemented
10#21436244C211yesmaximal, characteristic, complemented
11#21436204C211yesmaximal, characteristic, complemented
12#21436130C211yesmaximal, characteristic, complemented
13#21436106C211yesmaximal, characteristic, complemented
14#21435991C211yesmaximal, characteristic, complemented
15#21435949C211yesmaximal, characteristic, complemented
16#21435806C211yesmaximal, characteristic, complemented
17#21435629C211yesmaximal, characteristic, complemented
18#21435586C211yesmaximal, characteristic, complemented
19#21434823C211yesmaximal, characteristic, complemented
20#21434792C211yesmaximal, characteristic, complemented
21#21434788C211yesmaximal, characteristic, complemented
22#21434265C211yesmaximal, characteristic, complemented
23#21434232C211yesmaximal, characteristic, complemented
24#21434207C211yesmaximal, characteristic, complemented
25#21434203C211yesmaximal, characteristic, complemented
26#21434185C211yesmaximal, characteristic, complemented
27#21433105C211yesmaximal, characteristic, complemented
28#21432901C211yesmaximal, characteristic, complemented
29#21432894C211yesmaximal, characteristic, complemented
30#440×D59C211yesmaximal, characteristic, complemented
31C59×#3115C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic
33C2×#14273747C2211yescharacteristic
34C2×SD16×D59C2211yescharacteristic
35#16838138C2211yescharacteristic
36#16838135—21no—
37#16838135C2211yescharacteristic, complemented
38#16838128C2211yescharacteristic, complemented
39#16838120—21no—
40#16838120C2211yescharacteristic, complemented
41#16838113C2211yescharacteristic
42#16838113C2211yescharacteristic
43#16838102—21no—
44#16838102C2211yescharacteristic
45#16838099—21no—
46#16838099C2211yescharacteristic
47#16838099C2211yescharacteristic
48#16838096—21no—
49#16838096C2211yescharacteristic, complemented
50#16838082—21no—
51#16838082—21no—
52#16838071C2211yescharacteristic, complemented
53#16838064C2211yescharacteristic
54#16838059C2211yescharacteristic, complemented
55#16838049—21no—
56#16838049C2211yescharacteristic
57#16838049C2211yescharacteristic
58#16838037C2211yescharacteristic
59#16837949—21no—
60#16837949C2211yescharacteristic, complemented
61#16837936—21no—
62#16837936C2211yescharacteristic, complemented
63#16837934—21no—
64#16837934—21no—
65#16837934C2211yescharacteristic
66#16837934C2211yescharacteristic
67#16837934C2211yescharacteristic, complemented
68#16837909—21no—
69#16837909—21no—
70C4×#11745689C2211yescharacteristic, complemented
71C4×#11745685—21no—
72C4×#11745685C2211yescharacteristic
73C4×#11745685C2211yescharacteristic
74C4×Q8×D59C2211yescharacteristic, complemented
75C4×D4×D59—21no—
76C4×D4×D59C2211yescharacteristic
77C4×D4×D59C2211yescharacteristic
78#16837809C2211yescharacteristic, complemented
79#16837808C2211yescharacteristic, complemented
80#16837802C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic, complemented
82#16837789C2211yescharacteristic
83#16837785C2211yescharacteristic, complemented
84#16837766C2211yescharacteristic
85#16837765C2211yescharacteristic, complemented
86#16837764C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837755C2211yescharacteristic, complemented
90#16837745C2211yescharacteristic, complemented
91#16837744C2211yescharacteristic, complemented
92#16837739C2211yescharacteristic, complemented
93#16837734C2211yescharacteristic, complemented
94#16837727C2211yescharacteristic, complemented
95#16837724C2211yescharacteristic
96#16837722C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic
98#16837719C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837711C2211yescharacteristic, complemented
101#16837710C2211yescharacteristic, complemented
102#16837708C2211yescharacteristic, complemented
103#16837707C2211yescharacteristic, complemented
104#16837705C2211yescharacteristic, complemented
105#16837703C2211yescharacteristic
106#16837701C2211yescharacteristic
107#16837700C2211yescharacteristic, complemented
108#16837691C2211yescharacteristic
109#16837690C2211yescharacteristic, complemented
110#16837661C2211yescharacteristic, complemented
111#16837652C2211yescharacteristic
112#16837647C2211yescharacteristic
113#16837647C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic
115#16837636C2211yescharacteristic, complemented
116#16837636C2211yescharacteristic, complemented
117#16837635C2211yescharacteristic
118#16837632C2211yescharacteristic, complemented
119#16837630C2211yescharacteristic, complemented
120#16837629C2211yescharacteristic, complemented
121#16837629C2211yescharacteristic, complemented
122#16837625C2211yescharacteristic, complemented
123#16837623C2211yescharacteristic, complemented
124#16837622C2211yescharacteristic, complemented
125#16837622C2211yescharacteristic, complemented
126#16837618C2211yescharacteristic
127#16837616C2211yescharacteristic
128#16837616C2211yescharacteristic, complemented
129#16837615C2211yescharacteristic, complemented
130#16837596C2211yescharacteristic
131#16837595C2211yescharacteristic, complemented
132#16837567C2211yescharacteristic, complemented
133#16837566C2211yescharacteristic
134#16837559C2211yescharacteristic, complemented
135#16837554C2211yescharacteristic
136#16837549C2211yescharacteristic
137#16837546C2211yescharacteristic
138#16837539C2211yescharacteristic
139#16837537C2211yescharacteristic
140#16837534C2211yescharacteristic
141#16837534C2211yescharacteristic
142#16837531C2211yescharacteristic, complemented
143#16837531C2211yescharacteristic, complemented
144#16837515C2211yescharacteristic
145#16837512C2211yescharacteristic
146#16837512C2211yescharacteristic
147#16837512C2211yescharacteristic, complemented
148#16837512C2211yescharacteristic, complemented
149#16837510C2211yescharacteristic, complemented
150#16837507C2211yescharacteristic, complemented
151#16837507C2211yescharacteristic, complemented
152#16837505C2211yescharacteristic
153#16837504C2211yescharacteristic
154#16837504C2211yescharacteristic, complemented
155#16837503C2211yescharacteristic, complemented
156#16837502C2211yescharacteristic, complemented
157#16837502C2211yescharacteristic, complemented
158#16837502C2211yescharacteristic, complemented
159#16837502C2211yescharacteristic, complemented
160#16837501C2211yescharacteristic
161#16837500C2211yescharacteristic
162#16837500C2211yescharacteristic
163#16837499C2211yescharacteristic, complemented
164SD16×Dic59C2211yescharacteristic, complemented
165#16837487C2211yescharacteristic
166#16837484C2211yescharacteristic
167#16837482C2211yescharacteristic, complemented
168#16837472C2211yescharacteristic
169#16837472C2211yescharacteristic
170#16837470C2211yescharacteristic, complemented
171#16837470C2211yescharacteristic, complemented
172(C22⋊D59)⋊C8C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837457C2211yescharacteristic, complemented
175#16837457C2211yescharacteristic, complemented
176#16837443C2211yescharacteristic, complemented
177#16837438C2211yescharacteristic, complemented
178#107×D59C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic
180#16837402C2211yescharacteristic, complemented
181#16837398C2211yescharacteristic, complemented
182#16837396C2211yescharacteristic
183#103×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic
185#16837354C2211yescharacteristic, complemented
186C2×#14273638C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#532C2211yescharacteristic
189C4×#41×C59C2211yescharacteristic, complemented
190C59×#482C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#475C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#460C2211yescharacteristic
195C59×#459C2211yescharacteristic
196C59×#449C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#442C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#440C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#432C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685D411yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C2×D4×D59—21no—
209C2×D4×D59C2311yescharacteristic
210C2×D4×D59C2311yescharacteristic
211C22×C4×D59—21no—
212C22×C4×D59—21no—
213#14273754—24no—
214#14273747—24no—
215C2×Dic236C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223SD16×D59—24no—
224C2×D472C2311yescharacteristic
225C2×#11745669C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745659C2311yescharacteristic
229C2×#11745659C2311yescharacteristic
230C22×C59⋊C8C2311yescharacteristic
231C22×C59⋊C8C2311yescharacteristic
232C2×C8×D59C2311yescharacteristic
233C2×C8×D59C2311yescharacteristic
234#14273726—21no—
235#14273726C2311yescharacteristic
236#14273723—21no—
237#14273723C2311yescharacteristic
238#14273721—21no—
239#14273721—21no—
240#14273721—21no—
241#14273720—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#14273718—21no—
252#14273718C2311yescharacteristic
253#14273718C2311yescharacteristic
254#14273718C2311yescharacteristic
255#14273715—21no—
256#14273715C2311yescharacteristic
257#14273714—21no—
258#14273714—21no—
259#14273714C2311yescharacteristic
260#14273714C2311yescharacteristic
261#14273714C2311yescharacteristic
262#14273713—21no—
263#14273713—21no—
264#14273713—21no—
265#14273710—21no—
266#14273710—21no—
267#14273710—21no—
268#14273709—21no—
269#14273709—21no—
270#14273709—21no—
271#14273709—21no—
272#14273709—21no—
273#14273709—21no—
274#14273709—21no—
275#14273708—21no—
276#14273708—21no—
277#14273708—21no—
278#14273708—21no—
279#14273707—21no—
280#14273707—21no—
281#14273707C2311yescharacteristic
282#14273707C2311yescharacteristic
283#14273707C2311yescharacteristic
284#14273706—21no—
285#14273706C2311yescharacteristic
286#14273703—21no—
287#14273703—21no—
288#14273703—21no—
289#14273703—21no—
290#14273702—21no—
291#14273702C2311yescharacteristic
292#14273701—21no—
293#14273701C2311yescharacteristic
294#14273700—21no—
295#14273700—21no—
296#14273700—21no—
297#14273698—21no—
298#14273698—21no—
299#14273698—21no—
300#14273698—21no—
301#14273698—21no—
302#14273698—21no—
303#14273698—21no—
304#14273698C2311yescharacteristic
305#14273698C2311yescharacteristic
306#14273698C2311yescharacteristic
307#14273698C2311yescharacteristic
308#14273695—21no—
309#14273695—21no—
310#14273695—21no—
311#14273695—21no—
312Q8×Dic59C2311yescharacteristic
313Q8×Dic59C2311yescharacteristic
314C4×Dic118—21no—
315C4×Dic118—21no—
316C4×Dic118—21no—
317C4×Dic118D411yescharacteristic
318C4×Dic118C2311yescharacteristic
319C4×Dic118C2311yescharacteristic
320C4×Dic118C2311yescharacteristic
321C4×Dic118C2311yescharacteristic
322#14273692—21no—
323#14273692C2311yescharacteristic
324C4×D236—21no—
325C4×D236—21no—
326C4×D236—21no—
327C4×D236D411yescharacteristic
328C4×D236C2311yescharacteristic
329C4×D236C2311yescharacteristic
330C4×D236C2311yescharacteristic
331C4×D236C2311yescharacteristic
332D4×Dic59—21no—
333D4×Dic59C2311yescharacteristic
334D4×Dic59C2311yescharacteristic
335#14273689—21no—
336#14273689—21no—
337#14273689C2311yescharacteristic
338#14273689C2311yescharacteristic
339#14273689C2311yescharacteristic
340C4×C22⋊D59—21no—
341C4×C22⋊D59—21no—
342C4×C22⋊D59—21no—
343C4×C22⋊D59—21no—
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59D411yescharacteristic
354C4×C22⋊D59D411yescharacteristic
355C4×C22⋊D59C2311yescharacteristic
356C4×C22⋊D59C2311yescharacteristic
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361#14273686—21no—
362#14273686—21no—
363#14273686—21no—
364#14273686D411yescharacteristic
365#14273686C2311yescharacteristic
366#14273685—21no—
367#14273685C2311yescharacteristic
368#14273684—21no—
369#14273684—21no—
370#14273684D411yescharacteristic
371#14273684D411yescharacteristic
372C4⋊C4×D59—21no—
373C4⋊C4×D59—21no—
374C4⋊C4×D59C2311yescharacteristic
375C4⋊C4×D59C2311yescharacteristic
376C4⋊C4×D59C2311yescharacteristic
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C42×D59—21no—
382C42×D59—21no—
383C42×D59—21no—
384C42×D59C2311yescharacteristic
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#14273650C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
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#14273638C2311yescharacteristic
433#14273638C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×#41×C59—21no—
439C2×#41×C59C2311yescharacteristic
440C2×SD16×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444C4⋊Q8×C59C2311yescharacteristic
445#127×C59C2311yescharacteristic
446#124×C59—21no—
447#121×C59—21no—
448#121×C59C2311yescharacteristic
449#121×C59C2311yescharacteristic
450C4×Q8×C59C2311yescharacteristic
451C4×Q8×C59C2311yescharacteristic
452C4×D4×C59—21no—
453C4×D4×C59—21no—
454C4×D4×C59—21no—
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459#117×C59—21no—
460#117×C59C2311yescharacteristic
461C2×C42×C59—21no—
462C2×C42×C59C2311yescharacteristic
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#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477C22⋊C8×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483#41×C59—22no—
484#41×C59—41no—
485#41×C59—82no—
486C2×Q8×C59—21no—
487C2×Q8×C59C2411yescharacteristic
488C2×D4×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59C2411yescharacteristic
494C2×D4×C59C2411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59C2×D411yescharacteristic
502C22×C4×C59C2×D411yescharacteristic
503C22×C4×C59C2411yescharacteristic
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59C2×D411yescharacteristic
515C2×C22⋊D59C2×D411yescharacteristic
516C22×Dic59—21no—
517C22×Dic59—21no—
518#11745689—22no—
519#11745689—41no—
520Q8×D59—22no—
521Q8×D59—41no—
522D4×D59—22no—
523D4×D59—22no—
524D4×D59—41no—
525D4×D59—41no—
526D4×D59—44no—
527#11745685—22no—
528#11745685—41no—
529#11745685—42no—
530#11745685—44no—
531C2×D236—21no—
532C2×D236—21no—
533C2×D236C2×D411yescharacteristic
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—21no—
548C2×C4×D59—82no—
549C2×C4×D59—82no—
550C2×C4×D59C2×D411yescharacteristic
551C2×C4×D59C2×D411yescharacteristic
552C2×C4×D59C2×D411yescharacteristic
553C2×C4×D59C2×D411yescharacteristic
554C2×C4×D59C2411yescharacteristic
555C2×C4×D59C2411yescharacteristic
556C2×Dic118—21no—
557C2×Dic118—21no—
558C2×Dic118C2×D411yescharacteristic
559C2×Dic118C2411yescharacteristic
560C2×Dic118C2411yescharacteristic
561SD16×C59—22no—
562SD16×C59—22no—
563D8×C59—41no—
564D8×C59—41no—
565C2×C8×C59C2411yescharacteristic
566C2×C8×C59C2411yescharacteristic
567C2×C8×C59C2411yescharacteristic
568C2×C8×C59C2411yescharacteristic
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
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—
583C42×C59—21no—
584C42×C59—21no—
585C42×C59—21no—
586C42×C59C2×D411yescharacteristic
587C42×C59C2×D411yescharacteristic
588C42×C59C2411yescharacteristic
589C42×C59C2411yescharacteristic
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59C2×D411yescharacteristic
605C22⋊Dic59C2×D411yescharacteristic
606#11745672—22no—
607#11745671#4114yescomplemented
608#11745670—22no—
609#11745670—22no—
610#11745670—41no—
611#11745669—22no—
612#11745669—22no—
613#11745669—41no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4C2×D411yescharacteristic
629(C2×D59)⋊C4C2×D411yescharacteristic
630(C2×D59)⋊C4C2×D411yescharacteristic
631(C2×D59)⋊C4C2×D411yescharacteristic
632C4⋊Dic59—21no—
633C4⋊Dic59—21no—
634C4⋊Dic59—21no—
635C4⋊Dic59—21no—
636C4⋊Dic59—21no—
637C4⋊Dic59—21no—
638C4⋊Dic59—21no—
639C4⋊Dic59—21no—
640C4⋊Dic59C2×D411yescharacteristic
641C4⋊Dic59C2×D411yescharacteristic
642C4⋊Dic59C2411yescharacteristic
643C4⋊Dic59C2411yescharacteristic
644C4⋊Dic59C2411yescharacteristic
645C4⋊Dic59C2411yescharacteristic
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4C2×D411yescharacteristic
661Dic59⋊C4C2×D411yescharacteristic
662Dic59⋊C4C2×D411yescharacteristic
663Dic59⋊C4C2×D411yescharacteristic
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×Dic59C2411yescharacteristic
677C4×Dic59C2411yescharacteristic
678C2×C59⋊C8—22no—
679C2×C59⋊C8—41no—
680C2×C59⋊C8C2411yescharacteristic
681C2×C59⋊C8C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684Dic236—41no—
685D472—22no—
686#11745660—22no—
687#11745660—41no—
688#11745659—22no—
689#11745659—41no—
690C8×D59—22no—
691C8×D59—41no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59—21no—
695C23×C59C22×D411yescharacteristic
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
705C22×D59C22×D411yescharacteristic
706Q8×C59—21no—
707Q8×C59—81no—
708Q8×C59C2×#4112yes—
709D4×C59—21no—
710D4×C59—21no—
711D4×C59—21no—
712D4×C59—21no—
713D4×C59—21no—
714D4×C59—21no—
715D4×C59—42no—
716D4×C59—42no—
717D4×C59—81no—
718D4×C59—81no—
719D4×C59—81no—
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—41no—
728C2×C4×C59—41no—
729C2×C4×C59—42no—
730C2×C4×C59—42no—
731C2×C4×C59—42no—
732C2×C4×C59—42no—
733C2×C4×C59—81no—
734C2×C4×C59C22×D411yescharacteristic
735C2×C4×C59C22×D411yescharacteristic
736C2×C4×C59C22×D411yescharacteristic
737C2×C4×C59C22×D411yescharacteristic
738C2×C4×C59C22×D411yescharacteristic
739C2×C4×C59C2511yescharacteristic
740C22⋊D59—22no—
741C22⋊D59—41no—
742C22⋊D59—42no—
743C22⋊D59—42no—
744C22⋊D59—42no—
745C22⋊D59—42no—
746C22⋊D59—42no—
747C22⋊D59—42no—
748C22⋊D59—42no—
749C22⋊D59—81no—
750C22⋊D59—81no—
751C22⋊D59—81no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—81no—
759C2×Dic59—81no—
760C2×Dic59C22×D411yescharacteristic
761C2×Dic59C22×D411yescharacteristic
762C2×Dic59C22×D411yescharacteristic
763C2×Dic59C22×D411yescharacteristic
764C2×Dic59C22×D411yescharacteristic
765C2×Dic59C22×D411yescharacteristic
766D236—22no—
767D236—21no—
768D236—21no—
769D236—21no—
770D236—42no—
771D236—42no—
772D236C2×#4112yes—
773C4×D59—22no—
774C4×D59—21no—
775C4×D59—21no—
776C4×D59—21no—
777C4×D59—21no—
778C4×D59—41no—
779C4×D59—41no—
780C4×D59—41no—
781C4×D59—42no—
782C4×D59—42no—
783C4×D59—42no—
784C4×D59—42no—
785C4×D59—42no—
786C4×D59—42no—
787C4×D59—81no—
788C4×D59—81no—
789C4×D59—81no—
790C4×D59—81no—
791C4×D59—81no—
792C4×D59—81no—
793Dic118—21no—
794Dic118—21no—
795Dic118—21no—
796Dic118—21no—
797Dic118—41no—
798Dic118—42no—
799Dic118—42no—
800C8×C59—21no—
801C8×C59—21no—
802C8×C59—21no—
803C8×C59—21no—
804C59⋊C8—21no—
805C59⋊C8—21no—
806C59⋊C8—21no—
807C59⋊C8C2×#4112yes—
808#61456—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—21no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59C23×D411yescharacteristic
822C2×D59—21no—
823C2×D59—21no—
824C2×D59—21no—
825C2×D59—21no—
826C2×D59—22no—
827C2×D59—21no—
828C2×D59—41no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—84no—
834C2×D59—84no—
835C2×D59#57512yes—
836C4×C59—21no—
837C4×C59—21no—
838C4×C59—22no—
839C4×C59—21no—
840C4×C59—21no—
841C4×C59—21no—
842C4×C59—41no—
843C4×C59—41no—
844C4×C59—41no—
845C4×C59—41no—
846C4×C59C22×#4111yescharacteristic
847C4×C59#58511yescharacteristic
848Dic59—21no—
849Dic59—21no—
850Dic59—21no—
851Dic59—21no—
852Dic59—21no—
853Dic59—21no—
854Dic59—41no—
855Dic59—41no—
856Dic59—41no—
857Dic59—41no—
858Dic59—41no—
859Dic59—41no—
860#3481—591no—
861#3480—591no—
862#3403—591no—
863#3388—591no—
864#3371—591no—
865#3370—591no—
866#3350—591no—
867#3346—591no—
868#3339—591no—
869#3318—591no—
870#3316—591no—
871#3311—591no—
872#3309—591no—
873#3301—591no—
874#3297—591no—
875#3282—591no—
876#3268—591no—
877#3265—591no—
878#3183—591no—
879#3180—591no—
880#3180—591no—
881#3117—591no—
882#3115D5911yescharacteristic, complemented
883#3114—591no—
884#3111—591no—
885#3111—591no—
886#3109—591no—
887#2970—591no—
888C4×AGL(1,ℤ/8)—591no—
889#2943—591no—
890C2×#440—591no—
891C2×C59—41no—
892C2×C59—81no—
893C2×C59—81no—
894C2×C59—81no—
895C2×C59D4×#4111yescharacteristic
896C2×C59C2×#57511yescharacteristic
897C2×C59#358511yescharacteristic
898D59—22no—
899D59—41no—
900D59—42no—
901D59—81no—
902C2×AGL(1,ℤ/8)—591no—
903C2×#135—591no—
904C22×SD16—591no—
905#559—591no—
906#559—591no—
907#559—1181no—
908#557—591no—
909#556—591no—
910#556—1181no—
911#554—591no—
912#554—591no—
913#553—591no—
914#553—591no—
915#553—591no—
916#553—591no—
917#553—1181no—
918#553—1181no—
919#553—1181no—
920#551—1181no—
921#551—1181no—
922#550—591no—
923#548—591no—
924#548—591no—
925#546—591no—
926#546—591no—
927#546—1181no—
928D42—591no—
929#532—591no—
930#532—1181no—
931#532C2×D5911yescharacteristic
932#529—591no—
933#529—591no—
934#529—591no—
935#529—591no—
936#529—1181no—
937#529—1181no—
938#529—1181no—
939#525—1181no—
940#525—1181no—
941C4×#41—591no—
942C4×#41—591no—
943C4×#41—591no—
944C4×#41—1181no—
945C4×#41C2×D5911yescharacteristic, complemented
946C2×C4×Q8—591no—
947C2×C4×D4—591no—
948C2×C4×D4—591no—
949C2×C4×D4—1181no—
950#501—591no—
951#501—591no—
952#499—591no—
953#496—591no—
954#496—591no—
955#495—591no—
956#490—591no—
957#490—591no—
958#489—591no—
959#489—591no—
960#488—591no—
961#488—591no—
962#485—591no—
963#485—591no—
964#484—591no—
965#483—591no—
966#482—591no—
967#482—591no—
968#482C2×D5911yescharacteristic, complemented
969#482C2×D5911yescharacteristic, complemented
970#481—591no—
971#481—591no—
972#481—591no—
973#480—591no—
974#479—591no—
975#479—591no—
976#479—591no—
977#479—591no—
978#478—591no—
979#478—591no—
980#478—591no—
981#478—591no—
982#476—591no—
983#476—591no—
984#475C2×D5911yescharacteristic, complemented
985#474C2×D5911yescharacteristic, complemented
986#470—591no—
987#469—591no—
988#468—591no—
989#468—591no—
990#466—591no—
991#466—591no—
992#466—591no—
993#466—591no—
994#465—591no—
995#465—591no—
996#465—591no—
997#465—591no—
998#464—591no—
999#464—591no—
1000#464—591no—
1001#464—591no—
1002#463—591no—
1003#463—591no—
1004#463—591no—
1005#463—591no—
1006#460C2×D5911yescharacteristic
1007#459—591no—
1008#459—591no—
1009#459C2×D5911yescharacteristic
1010#452—591no—
1011#452—591no—
1012#451—591no—
1013#450—591no—
1014#449—591no—
1015#449—591no—
1016#449C2×D5911yescharacteristic, complemented
1017#449C2×D5911yescharacteristic, complemented
1018#448—591no—
1019#447—591no—
1020#447—591no—
1021#447—591no—
1022#446—591no—
1023#446—591no—
1024#442—591no—
1025#442—591no—
1026#442—591no—
1027#442—591no—
1028#442—591no—
1029#442C2×D5911yescharacteristic, complemented
1030#442C2×D5911yescharacteristic, complemented
1031#441—591no—
1032#441—591no—
1033#441—591no—
1034#440—591no—
1035#440—591no—
1036#440—591no—
1037#440—591no—
1038#440—591no—
1039#440—591no—
1040#440—591no—
1041#440—591no—
1042#440—591no—
1043#440—591no—
1044#440—591no—
1045#440—591no—
1046#440C2×D5911yescharacteristic, complemented
1047#440C2×D5911yescharacteristic, complemented
1048C4×SD16—591no—
1049C4×SD16—591no—
1050C4×D8—591no—
1051C4×D8—591no—
1052#435—591no—
1053#435—591no—
1054#435—591no—
1055#435—591no—
1056C8×D4—591no—
1057C8×D4—591no—
1058#432—591no—
1059#432—591no—
1060#432C2×D5911yescharacteristic, complemented
1061#428—591no—
1062#427—591no—
1063C2×#107—591no—
1064#418—591no—
1065#417—591no—
1066#416—591no—
1067#416—591no—
1068C2×#103—591no—
1069C2×#102—591no—
1070C4×M16—591no—
1071C2×#97—591no—
1072C2×#97—591no—
1073C59#6145611yescharacteristic, complemented, Sylow
1074C2×#41—21no—
1075C2×#41—591no—
1076C2×#41—591no—
1077C2×#41—591no—
1078C2×#41—1181no—
1079C2×#41C22×D5911yescharacteristic
1080C22×Q8—591no—
1081C22×D4—591no—
1082C22×D4—591no—
1083C22×D4—1181no—
1084C23×C4—1181no—
1085C23×C4—1181no—
1086AGL(1,ℤ/8)—1184no—
1087#135—1184no—
1088C2×Q16—591no—
1089C2×Q16—591no—
1090C2×SD16—591no—
1091C2×SD16—591no—
1092C2×SD16—591no—
1093C2×SD16—591no—
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16—1184no—
1097C2×SD16C22×D5911yescharacteristic
1098C2×SD16C22×D5911yescharacteristic
1099C2×D8—591no—
1100C2×D8—591no—
1101C2×D8—591no—
1102C2×D8—591no—
1103C2×D8C22×D5911yescharacteristic
1104C2×D8C22×D5911yescharacteristic
1105C2×M16—591no—
1106C2×M16—591no—
1107C22×C8—591no—
1108C22×C8—591no—
1109C22×C8—591no—
1110C22×C8—591no—
1111C4⋊Q8—591no—
1112C4⋊Q8—1181no—
1113C4⋊Q8C22×D5911yescharacteristic
1114#127—591no—
1115#127—1181no—
1116#127C22×D5911yescharacteristic
1117#126—1181no—
1118#126—1181no—
1119#126—1181no—
1120#126—1181no—
1121#126—1181no—
1122#126—1181no—
1123#126—1181no—
1124#126—1181no—
1125#126—1181no—
1126#126—1181no—
1127#125—591no—
1128#125—591no—
1129#125—591no—
1130#125—591no—
1131#125—1181no—
1132#125—1181no—
1133#125—1181no—
1134#124—21no—
1135#124—591no—
1136#124—591no—
1137#124—591no—
1138#124—591no—
1139#124—1181no—
1140#124—1181no—
1141#124—1181no—
1142#124—1181no—
1143#124—1181no—
1144#124—1181no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151#123—1181no—
1152#123—1181no—
1153#123—1181no—
1154#123—1181no—
1155#123—1181no—
1156#123—1181no—
1157#123—1181no—
1158#123—1181no—
1159C22⋊Q8—591no—
1160C22⋊Q8—591no—
1161C22⋊Q8—591no—
1162C22⋊Q8—591no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8—1181no—
1169C22⋊Q8—1181no—
1170#121—21no—
1171#121—591no—
1172#121—591no—
1173#121—591no—
1174#121—591no—
1175#121—591no—
1176#121—591no—
1177#121—1181no—
1178#121—1181no—
1179#121—1181no—
1180#121—1181no—
1181#121—1181no—
1182#121—1181no—
1183#121—1181no—
1184#121—1181no—
1185#121—1181no—
1186#121—1181no—
1187#121—1181no—
1188#121—1181no—
1189#121C22×D5911yescharacteristic
1190#121C22×D5911yescharacteristic
1191#120—1181no—
1192#120—1181no—
1193#120—1181no—
1194#120—1181no—
1195C4×Q8—591no—
1196C4×Q8—591no—
1197C4×Q8—591no—
1198C4×Q8—591no—
1199C4×Q8—591no—
1200C4×Q8—591no—
1201C4×Q8—591no—
1202C4×Q8—591no—
1203C4×Q8—1181no—
1204C4×Q8—1181no—
1205C4×Q8—1181no—
1206C4×Q8—1181no—
1207C4×Q8C22×D5911yescharacteristic
1208C4×Q8C22×D5911yescharacteristic
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
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—591no—
1223C4×D4—591no—
1224C4×D4—591no—
1225C4×D4—591no—
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×D4—1181no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4—1181no—
1244C4×D4—1181no—
1245C4×D4—1181no—
1246C4×D4—1181no—
1247C4×D4—1181no—
1248C4×D4—1181no—
1249C4×D4C22×D5911yescharacteristic
1250C4×D4C22×D5911yescharacteristic
1251C4×D4C22×D5911yescharacteristic
1252C4×D4C22×D5911yescharacteristic
1253#117—21no—
1254#117—591no—
1255#117—591no—
1256#117—591no—
1257#117—591no—
1258#117—591no—
1259#117—1181no—
1260#117—1181no—
1261#117—1181no—
1262#117—1181no—
1263#117—1181no—
1264#117—1181no—
1265#117C22×D5911yescharacteristic
1266C2×C4⋊C4—591no—
1267C2×C4⋊C4—591no—
1268C2×C4⋊C4—591no—
1269C2×C4⋊C4—1181no—
1270C2×C4⋊C4—1181no—
1271C2×C22⋊C4—1181no—
1272C2×C22⋊C4—1181no—
1273C2×C22⋊C4—1181no—
1274C2×C22⋊C4—1181no—
1275C2×C42—21no—
1276C2×C42—591no—
1277C2×C42—591no—
1278C2×C42—1181no—
1279C2×C42—1181no—
1280C2×C42—1181no—
1281C2×C42C22×D5911yescharacteristic
1282#107—591no—
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107—591no—
1288#107C22×D5911yescharacteristic
1289#107C22×D5911yescharacteristic
1290#106—591no—
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106—591no—
1295#106—591no—
1296#106C22×D5911yescharacteristic
1297#106C22×D5911yescharacteristic
1298C4⋊C8—591no—
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302C4⋊C8C22×D5911yescharacteristic
1303C4⋊C8C22×D5911yescharacteristic
1304#103—591no—
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103—591no—
1312#103—591no—
1313#103—591no—
1314#103C22×D5911yescharacteristic
1315#103C22×D5911yescharacteristic
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#102—591no—
1326#102—591no—
1327#102—591no—
1328#102—591no—
1329#102—591no—
1330#102C22×D5911yescharacteristic
1331#102C22×D5911yescharacteristic
1332#102C22×D5911yescharacteristic
1333#102C22×D5911yescharacteristic
1334#102C22×D5911yescharacteristic
1335#102C22×D5911yescharacteristic
1336C22⋊C8—591no—
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340C22⋊C8C22×D5911yescharacteristic
1341C22⋊C8C22×D5911yescharacteristic
1342#97—591no—
1343#97—591no—
1344#97—591no—
1345#97—591no—
1346#97—591no—
1347#97—591no—
1348#97C22×D5911yescharacteristic
1349#97C22×D5911yescharacteristic
1350C4×C8—591no—
1351C4×C8—591no—
1352C24—1181no—
1353C24—1181no—
1354#41—22no—
1355#41—41no—
1356#41—82no—
1357#41—1182no—
1358#41—1182no—
1359#41—2361no—
1360#41—2362no—
1361#41—2364no—
1362#41—2361no—
1363C2×Q8—21no—
1364C2×Q8—591no—
1365C2×Q8—591no—
1366C2×Q8—591no—
1367C2×Q8—1181no—
1368C2×Q8—1181no—
1369C2×Q8—1182no—
1370C2×Q8—2361no—
1371C2×Q8C23×D5911yescharacteristic
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—591no—
1378C2×D4—591no—
1379C2×D4—591no—
1380C2×D4—591no—
1381C2×D4—591no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—1181no—
1386C2×D4—1181no—
1387C2×D4—1181no—
1388C2×D4—1182no—
1389C2×D4—1182no—
1390C2×D4—1181no—
1391C2×D4—1181no—
1392C2×D4—1181no—
1393C2×D4—1181no—
1394C2×D4—1181no—
1395C2×D4—1181no—
1396C2×D4—2361no—
1397C2×D4—2361no—
1398C2×D4—2364no—
1399C2×D4C23×D5911yescharacteristic
1400C2×D4C23×D5911yescharacteristic
1401C2×D4C23×D5911yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—591no—
1408C22×C4—591no—
1409C22×C4—591no—
1410C22×C4—591no—
1411C22×C4—591no—
1412C22×C4—591no—
1413C22×C4—1181no—
1414C22×C4—1181no—
1415C22×C4—1181no—
1416C22×C4—1181no—
1417C22×C4—1181no—
1418C22×C4—1181no—
1419C22×C4—1181no—
1420C22×C4—1181no—
1421C22×C4—1181no—
1422C22×C4—1181no—
1423C22×C4—1181no—
1424C22×C4—1181no—
1425C22×C4—1181no—
1426C22×C4—1181no—
1427C22×C4—4722no—
1428C22×C4—4722no—
1429C22×C4D4×D5911yescharacteristic
1430C22×C4D4×D5911yescharacteristic
1431C22×C4C23×D5911yescharacteristic
1432Q16—1182no—
1433Q16—2361no—
1434SD16—22no—
1435SD16—22no—
1436SD16—594no—
1437SD16—1182no—
1438SD16—1182no—
1439SD16—1182no—
1440SD16—2361no—
1441SD16—2361no—
1442D8—41no—
1443D8—41no—
1444D8—1182no—
1445D8—1182no—
1446D8—1182no—
1447D8—2361no—
1448M16—1182no—
1449M16—2361no—
1450C2×C8—591no—
1451C2×C8—591no—
1452C2×C8—591no—
1453C2×C8—591no—
1454C2×C8—1182no—
1455C2×C8—1182no—
1456C2×C8—2361no—
1457C2×C8—2361no—
1458C2×C8C23×D5911yescharacteristic
1459C2×C8C23×D5911yescharacteristic
1460C2×C8C23×D5911yescharacteristic
1461C2×C8C23×D5911yescharacteristic
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—591no—
1466C4⋊C4—591no—
1467C4⋊C4—591no—
1468C4⋊C4—591no—
1469C4⋊C4—591no—
1470C4⋊C4—591no—
1471C4⋊C4—591no—
1472C4⋊C4—591no—
1473C4⋊C4—591no—
1474C4⋊C4—591no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4—1181no—
1496C4⋊C4—1181no—
1497C4⋊C4C23×D5911yescharacteristic
1498C4⋊C4C23×D5911yescharacteristic
1499C4⋊C4C23×D5911yescharacteristic
1500C4⋊C4C23×D5911yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—591no—
1509C22⋊C4—591no—
1510C22⋊C4—591no—
1511C22⋊C4—591no—
1512C22⋊C4—591no—
1513C22⋊C4—591no—
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⋊C4—1181no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42—591no—
1546C42—591no—
1547C42—591no—
1548C42—591no—
1549C42—591no—
1550C42—591no—
1551C42—1181no—
1552C42—1181no—
1553C42—1181no—
1554C42—1181no—
1555C42—1181no—
1556C42—1181no—
1557C42—1181no—
1558C42—1181no—
1559C42D4×D5911yescharacteristic
1560C42D4×D5911yescharacteristic
1561C42C23×D5911yescharacteristic
1562C42C23×D5911yescharacteristic
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—591no—
1567C23—591no—
1568C23—1181no—
1569C23—1181no—
1570C23—4721no—
1571C23—4721no—
1572C23—2362no—
1573C23—2362no—
1574C23—2362no—
1575C23—2362no—
1576C23C2×D4×D5911yescharacteristic
1577Q8—21no—
1578Q8—81no—
1579Q8—1181no—
1580Q8—1181no—
1581Q8—1181no—
1582Q8—1181no—
1583Q8—2361no—
1584Q8—2362no—
1585Q8—2362no—
1586Q8#41×D5912yes—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—42no—
1594D4—42no—
1595D4—81no—
1596D4—81no—
1597D4—81no—
1598D4—592no—
1599D4—1182no—
1600D4—1182no—
1601D4—1181no—
1602D4—1181no—
1603D4—1181no—
1604D4—4721no—
1605D4—4721no—
1606D4—4721no—
1607D4—2362no—
1608D4—2362no—
1609D4—2361no—
1610D4—2362no—
1611D4—2362no—
1612D4—2362no—
1613D4—2362no—
1614D4—2362no—
1615D4—2362no—
1616D4—2362no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—81no—
1631C2×C4—591no—
1632C2×C4—591no—
1633C2×C4—591no—
1634C2×C4—591no—
1635C2×C4—591no—
1636C2×C4—591no—
1637C2×C4—1182no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—1181no—
1648C2×C4—4721no—
1649C2×C4—4721no—
1650C2×C4—4721no—
1651C2×C4—4721no—
1652C2×C4—4721no—
1653C2×C4—4721no—
1654C2×C4—4721no—
1655C2×C4—4721no—
1656C2×C4—2361no—
1657C2×C4—2361no—
1658C2×C4—2361no—
1659C2×C4—2362no—
1660C2×C4—2362no—
1661C2×C4—2362no—
1662C2×C4—2362no—
1663C2×C4—2362no—
1664C2×C4—2362no—
1665C2×C4C2×D4×D5911yescharacteristic
1666C2×C4C2×D4×D5911yescharacteristic
1667C2×C4C2×D4×D5911yescharacteristic
1668C2×C4C2×D4×D5911yescharacteristic
1669C2×C4C2×D4×D5911yescharacteristic
1670C2×C4C24×D5911yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—592no—
1676C8—1181no—
1677C8—1181no—
1678C8—1181no—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—592no—
1692C22—1181no—
1693C22—1181no—
1694C22—1181no—
1695C22—1181no—
1696C22—1182no—
1697C22—1181no—
1698C22—4724no—
1699C22—4724no—
1700C22—2361no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22—2361no—
1705C22C22×D4×D5911yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—22no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—1181no—
1717C4—1181no—
1718C4—1181no—
1719C4—1181no—
1720C4—1181no—
1721C4—1181no—
1722C4—2361no—
1723C4—2361no—
1724C4—2361no—
1725C4—2361no—
1726C4—2361no—
1727C4—2361no—
1728C4C2×#41×D5911yescharacteristic
1729C4#1683823811yescharacteristic
1730C2—41no—
1731C2—81no—
1732C2—81no—
1733C2—81no—
1734C2—1182no—
1735C2—4721no—
1736C2—2361no—
1737C2—2362no—
1738C2#2143757911yescharacteristic
1739C2#575×D5911yescharacteristic
1740C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3115C2
socleC22×C59C23×D4
hypercenter#3115D59
hypocenterC59#61456
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3115

Complements

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

NH ≅ G/Ntype
1. #21437704C2semidirect
2. #21437694C2semidirect
3. #21437179C2semidirect
4. #21437048C2semidirect
5. #21436857C2semidirect
6. #21436856C2semidirect
7. #21436645C2semidirect
8. #21436578C2semidirect
9. #21436491C2semidirect
10. #21436244C2semidirect
11. #21436204C2semidirect
12. #21436130C2semidirect
13. #21436106C2semidirect
14. #21435991C2semidirect
15. #21435949C2semidirect
16. #21435806C2semidirect
17. #21435629C2semidirect
18. #21435586C2semidirect
19. #21434823C2semidirect
20. #21434792C2semidirect
21. #21434788C2semidirect
22. #21434265C2semidirect
23. #21434232C2semidirect
24. #21434207C2semidirect
25. #21434203C2semidirect
26. #21434185C2semidirect
27. #21433105C2semidirect
28. #21432901C2semidirect
29. #21432894C2semidirect
30. #440×D59C2semidirect
31. C59×#3115C2semidirect
37. #16838135C22semidirect
38. #16838128C22semidirect
40. #16838120C22semidirect
49. #16838096C22semidirect
52. #16838071C22semidirect
54. #16838059C22semidirect
60. #16837949C22semidirect
62. #16837936C22semidirect
67. #16837934C22semidirect
70. C4×#11745689C22semidirect
74. C4×Q8×D59C22semidirect
78. #16837809C22semidirect
79. #16837808C22semidirect
80. #16837802C22semidirect
81. #16837790C22semidirect
83. #16837785C22semidirect
85. #16837765C22semidirect
86. #16837764C22semidirect
87. #16837760C22semidirect
88. #16837755C22semidirect
89. #16837755C22semidirect
90. #16837745C22semidirect
91. #16837744C22semidirect
92. #16837739C22semidirect
93. #16837734C22semidirect
94. #16837727C22semidirect
96. #16837722C22semidirect
98. #16837719C22semidirect
99. #16837714C22semidirect
100. #16837711C22semidirect
101. #16837710C22semidirect
102. #16837708C22semidirect
103. #16837707C22semidirect
104. #16837705C22semidirect
107. #16837700C22semidirect
109. #16837690C22semidirect
110. #16837661C22semidirect
113. #16837647C22semidirect
115. #16837636C22semidirect
116. #16837636C22semidirect
118. #16837632C22semidirect
119. #16837630C22semidirect
120. #16837629C22semidirect
121. #16837629C22semidirect
122. #16837625C22semidirect
123. #16837623C22semidirect
124. #16837622C22semidirect
125. #16837622C22semidirect
128. #16837616C22semidirect
129. #16837615C22semidirect
131. #16837595C22semidirect
132. #16837567C22semidirect
134. #16837559C22semidirect
142. #16837531C22semidirect
143. #16837531C22semidirect
147. #16837512C22semidirect
148. #16837512C22semidirect
149. #16837510C22semidirect
150. #16837507C22semidirect
151. #16837507C22semidirect
154. #16837504C22semidirect
155. #16837503C22semidirect
156. #16837502C22semidirect
157. #16837502C22semidirect
158. #16837502C22semidirect
159. #16837502C22semidirect
163. #16837499C22semidirect
164. SD16×Dic59C22semidirect
167. #16837482C22semidirect
170. #16837470C22semidirect
171. #16837470C22semidirect
172. (C22⋊D59)⋊C8C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837457C22semidirect
175. #16837457C22semidirect
176. #16837443C22semidirect
177. #16837438C22semidirect
178. #107×D59C22semidirect
180. #16837402C22semidirect
181. #16837398C22semidirect
183. #103×D59C22semidirect
185. #16837354C22semidirect
186. C2×#14273638C22semidirect
187. #97×D59C22semidirect
189. C4×#41×C59C22semidirect
190. C59×#482C22semidirect
191. C59×#482C22semidirect
192. C59×#475C22semidirect
193. C59×#474C22semidirect
196. C59×#449C22semidirect
197. C59×#449C22semidirect
198. C59×#442C22semidirect
199. C59×#442C22semidirect
200. C59×#440C22semidirect
201. C59×#440C22semidirect
202. C59×#432C22semidirect
607. #11745671#41semidirect
882. #3115D59semidirect
945. C4×#41C2×D59semidirect
968. #482C2×D59semidirect
969. #482C2×D59semidirect
984. #475C2×D59semidirect
985. #474C2×D59semidirect
1016. #449C2×D59semidirect
1017. #449C2×D59semidirect
1029. #442C2×D59semidirect
1030. #442C2×D59semidirect
1046. #440C2×D59semidirect
1047. #440C2×D59semidirect
1060. #432C2×D59semidirect
1073. C59#61456semidirect

Maximal subgroups

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

subgroupindex
#214377042
#214376942
#214371792
#214370482
#214368572
#214368562
#214366452
#214365782
#214364912
#214362442
#214362042
#214361302
#214361062
#214359912
#214359492
#214358062
#214356292
#214355862
#214348232
#214347922
#214347882
#214342652
#214342322
#214342072
#214342032
#214341852
#214331052
#214329012
#214328942
#440×D592
C59×#31152
#6145659