Finite Group Databasebeta

← D59×#3343 #29467212

Subgroups — D59×#3343 #29467212

Order 15104.

2094 conjugacy classes of subgroups.

The subgroup lattice has 1738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#552×D59C211yesmaximal, characteristic, complemented
2#547×D59C211yesmaximal, characteristic
3#21436543C211yesmaximal, characteristic, complemented
4#21436542C211yesmaximal, characteristic, complemented
5#21436541C211yesmaximal, characteristic, complemented
6#21436540C211yesmaximal, characteristic, complemented
7#21436539C211yesmaximal, characteristic, complemented
8#21436538C211yesmaximal, characteristic, complemented
9#21436537C211yesmaximal, characteristic, complemented
10#21436536C211yesmaximal, characteristic, complemented
11#21436535C211yesmaximal, characteristic, complemented
12#21436534C211yesmaximal, characteristic, complemented
13#21436533C211yesmaximal, characteristic, complemented
14#21436532C211yesmaximal, characteristic, complemented
15#21436531C211yesmaximal, characteristic, complemented
16#21436530C211yesmaximal, characteristic, complemented
17#21436529C211yesmaximal, characteristic, complemented
18#501×D59C211yesmaximal, characteristic, complemented
19#484×D59C211yesmaximal, characteristic, complemented
20#482×D59C211yesmaximal, characteristic, complemented
21#483×D59C211yesmaximal, characteristic, complemented
22#480×D59C211yesmaximal, characteristic, complemented
23#477×D59C211yesmaximal, characteristic, complemented
24#478×D59C211yesmaximal, characteristic, complemented
25#468×D59C211yesmaximal, characteristic, complemented
26#465×D59C211yesmaximal, characteristic, complemented
27#440×D59C211yesmaximal, characteristic, complemented
28#435×D59C211yesmaximal, characteristic, complemented
29#428×D59C211yesmaximal, characteristic, complemented
30C2×#107×D59C211yesmaximal, characteristic, complemented
31C59×#3343C211yesmaximal, characteristic, complemented
32C2×#41×D59—21no—
33C2×SD16×D59C2211yescharacteristic
34C2×M16×D59C2211yescharacteristic
35C22×C8×D59C2211yescharacteristic
36#16838094C2211yescharacteristic, complemented
37#16838093C2211yescharacteristic, complemented
38#16838092C2211yescharacteristic, complemented
39#16838091C2211yescharacteristic, complemented
40#16838090C2211yescharacteristic, complemented
41#16838089—21no—
42#16838088—21no—
43#16838087C2211yescharacteristic, complemented
44#16838086C2211yescharacteristic, complemented
45#16838085—21no—
46#16838084—21no—
47#16838057C2211yescharacteristic
48#16838056C2211yescharacteristic
49#16838055C2211yescharacteristic
50#16838054—21no—
51#16838053C2211yescharacteristic
52#16838053C2211yescharacteristic
53#16838052C2211yescharacteristic
54#16838052C2211yescharacteristic
55#16838051—21no—
56#16838050—21no—
57#16838050—21no—
58C4⋊Q8×D59C2211yescharacteristic
59#126×D59—21no—
60#125×D59—21no—
61#125×D59C2211yescharacteristic
62#123×D59—21no—
63#123×D59—21no—
64#123×D59—21no—
65C22⋊Q8×D59—21no—
66C22⋊Q8×D59C2211yescharacteristic
67C22⋊Q8×D59C2211yescharacteristic
68#121×D59C2211yescharacteristic
69#121×D59C2211yescharacteristic
70C4×Q8×D59C2211yescharacteristic
71C4×D4×D59C2211yescharacteristic
72C4×D4×D59C2211yescharacteristic
73#117×D59—21no—
74#117×D59C2211yescharacteristic
75C2×C4⋊C4×D59C2211yescharacteristic
76C2×C4⋊C4×D59C2211yescharacteristic
77C2×C4⋊C4×D59C2211yescharacteristic
78#16837812C2211yescharacteristic, complemented
79#16837811C2211yescharacteristic, complemented
80#16837810C2211yescharacteristic, complemented
81#16837810C2211yescharacteristic, complemented
82#16837809C2211yescharacteristic, complemented
83#16837809C2211yescharacteristic, complemented
84#16837808C2211yescharacteristic, complemented
85#16837739C2211yescharacteristic, complemented
86#16837739C2211yescharacteristic, complemented
87#16837738C2211yescharacteristic, complemented
88#16837737C2211yescharacteristic, complemented
89#16837736C2211yescharacteristic, complemented
90#16837736C2211yescharacteristic, complemented
91#16837735C2211yescharacteristic, complemented
92#16837734C2211yescharacteristic, complemented
93#16837734C2211yescharacteristic, complemented
94#16837733C2211yescharacteristic, complemented
95#16837732C2211yescharacteristic, complemented
96#16837731C2211yescharacteristic, complemented
97#16837731C2211yescharacteristic, complemented
98#16837730C2211yescharacteristic, complemented
99#16837729C2211yescharacteristic, complemented
100#16837728C2211yescharacteristic, complemented
101#16837727C2211yescharacteristic, complemented
102#16837726C2211yescharacteristic, complemented
103#16837725C2211yescharacteristic, complemented
104#16837724C2211yescharacteristic, complemented
105#16837723C2211yescharacteristic, complemented
106#16837717C2211yescharacteristic, complemented
107#16837717C2211yescharacteristic, complemented
108#16837716C2211yescharacteristic, complemented
109#16837715C2211yescharacteristic, complemented
110#16837714C2211yescharacteristic, complemented
111#16837714C2211yescharacteristic, complemented
112#16837713C2211yescharacteristic, complemented
113#16837705C2211yescharacteristic, complemented
114#16837704C2211yescharacteristic, complemented
115#16837703C2211yescharacteristic, complemented
116#16837702C2211yescharacteristic, complemented
117#16837701C2211yescharacteristic, complemented
118#16837700C2211yescharacteristic, complemented
119#16837699C2211yescharacteristic, complemented
120#16837698C2211yescharacteristic, complemented
121#16837697C2211yescharacteristic, complemented
122#16837696C2211yescharacteristic, complemented
123#16837696C2211yescharacteristic, complemented
124#16837695C2211yescharacteristic, complemented
125#16837695C2211yescharacteristic, complemented
126#16837694C2211yescharacteristic, complemented
127#16837651C2211yescharacteristic, complemented
128#16837650C2211yescharacteristic, complemented
129#16837649C2211yescharacteristic, complemented
130#16837648C2211yescharacteristic, complemented
131#16837647C2211yescharacteristic, complemented
132#16837646C2211yescharacteristic, complemented
133#16837645C2211yescharacteristic, complemented
134#16837634C2211yescharacteristic, complemented
135#16837633C2211yescharacteristic, complemented
136#16837632C2211yescharacteristic, complemented
137#16837631C2211yescharacteristic, complemented
138#16837630C2211yescharacteristic, complemented
139#16837629C2211yescharacteristic, complemented
140#16837628C2211yescharacteristic, complemented
141#16837505C2211yescharacteristic, complemented
142#16837504C2211yescharacteristic, complemented
143#16837503C2211yescharacteristic, complemented
144#16837502C2211yescharacteristic, complemented
145#16837501C2211yescharacteristic, complemented
146#16837500C2211yescharacteristic, complemented
147#16837499C2211yescharacteristic, complemented
148#16837476C2211yescharacteristic, complemented
149#16837475C2211yescharacteristic, complemented
150#16837474C2211yescharacteristic, complemented
151#16837473C2211yescharacteristic, complemented
152#16837472C2211yescharacteristic, complemented
153#16837471C2211yescharacteristic, complemented
154#16837470C2211yescharacteristic, complemented
155#16837445C2211yescharacteristic, complemented
156#16837444C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837443C2211yescharacteristic, complemented
159#16837442C2211yescharacteristic, complemented
160#16837441C2211yescharacteristic, complemented
161#16837441C2211yescharacteristic, complemented
162C2×#14273661C2211yescharacteristic, complemented
163C2×#14273660C2211yescharacteristic, complemented
164C2×#14273660C2211yescharacteristic, complemented
165#107×D59C2211yescharacteristic
166#107×D59C2211yescharacteristic
167#107×D59C2211yescharacteristic
168#107×D59C2211yescharacteristic
169#107×D59C2211yescharacteristic
170#107×D59C2211yescharacteristic
171#107×D59C2211yescharacteristic, complemented
172#107×D59C2211yescharacteristic, complemented
173#107×D59C2211yescharacteristic, complemented
174#107×D59C2211yescharacteristic, complemented
175#106×D59C2211yescharacteristic
176#106×D59C2211yescharacteristic
177#106×D59C2211yescharacteristic
178C4⋊C8×D59C2211yescharacteristic
179#103×D59C2211yescharacteristic
180#103×D59C2211yescharacteristic
181#103×D59C2211yescharacteristic
182#102×D59C2211yescharacteristic
183#102×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic
185C22⋊C8×D59C2211yescharacteristic
186C22⋊C8×D59C2211yescharacteristic
187#97×D59C2211yescharacteristic
188C59×#552C2211yescharacteristic, complemented
189C59×#547C2211yescharacteristic
190C59×#501C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#483C2211yescharacteristic, complemented
193C59×#482C2211yescharacteristic, complemented
194C59×#480C2211yescharacteristic, complemented
195C59×#478C2211yescharacteristic, complemented
196C59×#477C2211yescharacteristic, complemented
197C59×#468C2211yescharacteristic, complemented
198C59×#465C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#428C2211yescharacteristic, complemented
202C2×#107×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687—21no—
210#41×D59—48no—
211C2×Q8×D59—21no—
212C2×Q8×D59C2311yescharacteristic
213C2×D4×D59—21no—
214C2×D4×D59—21no—
215C2×D4×D59D411yescharacteristic
216C2×D4×D59C2311yescharacteristic
217C22×C4×D59—21no—
218C22×C4×D59—21no—
219C22×C4×D59—21no—
220C22×C4×D59—21no—
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226SD16×D59—24no—
227C2×#11745664C2311yescharacteristic
228C2×#11745659C2311yescharacteristic
229C2×#11745659C2311yescharacteristic
230M16×D59—24no—
231C22×C59⋊C8C2311yescharacteristic
232C2×C8×D59—24no—
233C2×C8×D59C2311yescharacteristic
234C2×C8×D59C2311yescharacteristic
235C2×C8×D59C2311yescharacteristic
236C2×C8×D59C2311yescharacteristic
237C2×C8×D59C2311yescharacteristic
238C2×C8×D59C2311yescharacteristic
239#14273727C2311yescharacteristic
240#14273726—21no—
241#14273726C2311yescharacteristic
242#14273726C2311yescharacteristic
243#14273725—21no—
244#14273722—21no—
245#14273722—21no—
246#14273722—21no—
247#14273721—21no—
248#14273720—21no—
249#14273720—21no—
250#14273720—21no—
251#14273719—21no—
252#14273719C2311yescharacteristic
253#14273718—21no—
254#14273718—21no—
255#14273718C2311yescharacteristic
256#14273718C2311yescharacteristic
257#14273717—21no—
258#14273717—21no—
259#14273717—21no—
260#14273717—21no—
261#14273717—21no—
262#14273717—21no—
263#14273712—21no—
264#14273712—21no—
265#14273712—21no—
266#14273712—21no—
267#14273712—21no—
268#14273712—21no—
269#14273711—21no—
270#14273711—21no—
271#14273711—21no—
272#14273710—21no—
273#14273710—21no—
274#14273710—21no—
275#14273709—21no—
276#14273709—21no—
277#14273709—21no—
278#14273709—21no—
279#14273709—21no—
280#14273709—21no—
281#14273708—21no—
282#14273708—21no—
283#14273708—21no—
284#14273707—21no—
285#14273707C2311yescharacteristic
286#14273707C2311yescharacteristic
287#14273706—21no—
288#14273706C2311yescharacteristic
289#14273706C2311yescharacteristic
290#14273705—21no—
291#14273705—21no—
292#14273705—21no—
293#14273705—21no—
294#14273704—21no—
295#14273704—21no—
296#14273704—21no—
297#14273704—21no—
298#14273703—21no—
299#14273703C2311yescharacteristic
300#14273703C2311yescharacteristic
301#14273702C2311yescharacteristic
302#14273702C2311yescharacteristic
303#14273701C2311yescharacteristic
304#14273701C2311yescharacteristic
305#14273700—21no—
306#14273700—21no—
307#14273699—21no—
308#14273699—21no—
309#14273698C2311yescharacteristic
310#14273698C2311yescharacteristic
311Q8×Dic59C2311yescharacteristic
312C4×Dic118—21no—
313C4×Dic118C2311yescharacteristic
314#14273692—21no—
315#14273692C2311yescharacteristic
316C4×D236C2311yescharacteristic
317C4×D236C2311yescharacteristic
318D4×Dic59D411yescharacteristic
319D4×Dic59C2311yescharacteristic
320#14273689D411yescharacteristic
321#14273689C2311yescharacteristic
322C4×C22⋊D59—21no—
323C4×C22⋊D59C2311yescharacteristic
324C4×C22⋊D59C2311yescharacteristic
325(C22⋊D59)⋊C4—21no—
326(C22⋊D59)⋊C4D411yescharacteristic
327(C22⋊D59)⋊C4D411yescharacteristic
328#14273686—21no—
329#14273686C2311yescharacteristic
330#14273685—21no—
331#14273685—21no—
332#14273685C2311yescharacteristic
333#14273685C2311yescharacteristic
334#14273684—21no—
335#14273684—21no—
336#14273684—21no—
337#14273683—21no—
338#14273683—21no—
339#14273683—21no—
340C2×C4⋊Dic59C2311yescharacteristic
341C2×C4⋊Dic59C2311yescharacteristic
342C2×C4⋊Dic59C2311yescharacteristic
343C2×Dic59⋊C4—21no—
344C2×Dic59⋊C4—21no—
345C2×Dic59⋊C4—21no—
346C4⋊C4×D59—21no—
347C4⋊C4×D59—21no—
348C4⋊C4×D59—21no—
349C4⋊C4×D59—21no—
350C4⋊C4×D59—21no—
351C4⋊C4×D59—21no—
352C4⋊C4×D59—21no—
353C4⋊C4×D59—21no—
354C4⋊C4×D59—21no—
355C4⋊C4×D59—21no—
356C4⋊C4×D59—21no—
357C4⋊C4×D59—21no—
358C4⋊C4×D59D411yescharacteristic
359C4⋊C4×D59C2311yescharacteristic
360C4⋊C4×D59C2311yescharacteristic
361C4⋊C4×D59C2311yescharacteristic
362C4⋊C4×D59C2311yescharacteristic
363C4⋊C4×D59C2311yescharacteristic
364C4⋊C4×D59C2311yescharacteristic
365C4⋊C4×D59C2311yescharacteristic
366C4⋊C4×D59C2311yescharacteristic
367C4⋊C4×D59C2311yescharacteristic
368C4⋊C4×D59C2311yescharacteristic
369C4⋊C4×D59C2311yescharacteristic
370C4⋊C4×D59C2311yescharacteristic
371C22⋊C4×D59—21no—
372C22⋊C4×D59—21no—
373C22⋊C4×D59—21no—
374C22⋊C4×D59—21no—
375C22⋊C4×D59—21no—
376C22⋊C4×D59—21no—
377C22⋊C4×D59D411yescharacteristic
378C22⋊C4×D59D411yescharacteristic
379C42×D59—21no—
380C42×D59—21no—
381C42×D59C2311yescharacteristic
382#14273661C2311yescharacteristic
383#14273661C2311yescharacteristic
384#14273661C2311yescharacteristic
385#14273661C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273659C2311yescharacteristic
401#14273659C2311yescharacteristic
402#14273659C2311yescharacteristic
403#14273658C2311yescharacteristic
404#14273658C2311yescharacteristic
405#14273658C2311yescharacteristic
406#14273658C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436#14273638C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439C2×#41×C59—21no—
440C2×SD16×C59C2311yescharacteristic
441C2×M16×C59C2311yescharacteristic
442C22×C8×C59C2311yescharacteristic
443C4⋊Q8×C59C2311yescharacteristic
444#126×C59—21no—
445#125×C59—21no—
446#125×C59C2311yescharacteristic
447#123×C59—21no—
448#123×C59—21no—
449#123×C59—21no—
450C22⋊Q8×C59—21no—
451C22⋊Q8×C59C2311yescharacteristic
452C22⋊Q8×C59C2311yescharacteristic
453#121×C59C2311yescharacteristic
454#121×C59C2311yescharacteristic
455C4×Q8×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458#117×C59—21no—
459#117×C59C2311yescharacteristic
460C2×C4⋊C4×C59C2311yescharacteristic
461C2×C4⋊C4×C59C2311yescharacteristic
462C2×C4⋊C4×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#107×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470#106×C59C2311yescharacteristic
471#106×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482C23×D59—21no—
483C23×D59C2×D411yescharacteristic
484C23×D59C2×D411yescharacteristic
485#41×C59—44no—
486C2×Q8×C59—21no—
487C2×Q8×C59C2411yescharacteristic
488C2×D4×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59C2×D411yescharacteristic
491C2×D4×C59C2411yescharacteristic
492C22×C4×C59—21no—
493C22×C4×C59—21no—
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59C2411yescharacteristic
497C22×C4×C59C2411yescharacteristic
498C2×C22⋊D59—21no—
499C2×C22⋊D59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59C2×D411yescharacteristic
504C2×C22⋊D59C2×D411yescharacteristic
505C22×Dic59—21no—
506C22×Dic59—21no—
507C22×Dic59—21no—
508C22×Dic59—21no—
509C22×Dic59C2×D411yescharacteristic
510C22×Dic59C2×D411yescharacteristic
511#11745689—44no—
512Q8×D59—22no—
513Q8×D59—22no—
514Q8×D59—44no—
515#11745687—44no—
516#11745687—44no—
517#11745687—44no—
518D4×D59—24no—
519D4×D59—22no—
520D4×D59—22no—
521D4×D59—44no—
522D4×D59—44no—
523#11745685—44no—
524#11745685—44no—
525#11745685—44no—
526C2×D236—21no—
527C2×D236—21no—
528C2×D236C2×D411yescharacteristic
529C2×D236C2411yescharacteristic
530C2×C4×D59—22no—
531C2×C4×D59—22no—
532C2×C4×D59—22no—
533C2×C4×D59—22no—
534C2×C4×D59—21no—
535C2×C4×D59—21no—
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—21no—
549C2×C4×D59—44no—
550C2×C4×D59—44no—
551C2×C4×D59—44no—
552C2×C4×D59—44no—
553C2×C4×D59C2×D411yescharacteristic
554C2×C4×D59C2×D411yescharacteristic
555C2×C4×D59C2×D411yescharacteristic
556C2×C4×D59C2×D411yescharacteristic
557C2×C4×D59C2×D411yescharacteristic
558C2×C4×D59C2×D411yescharacteristic
559C2×C4×D59C2411yescharacteristic
560C2×C4×D59C2411yescharacteristic
561C2×C4×D59C2411yescharacteristic
562C2×Dic118—21no—
563C2×Dic118—21no—
564C2×Dic118—21no—
565C2×Dic118—21no—
566C2×Dic118C2411yescharacteristic
567SD16×C59—22no—
568M16×C59—22no—
569C2×C8×C59—22no—
570C2×C8×C59C2411yescharacteristic
571C2×C8×C59C2411yescharacteristic
572C2×C8×C59C2411yescharacteristic
573C2×C8×C59C2411yescharacteristic
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59—21no—
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59C2×D411yescharacteristic
584C4⋊C4×C59C2411yescharacteristic
585C4⋊C4×C59C2411yescharacteristic
586C4⋊C4×C59C2411yescharacteristic
587C4⋊C4×C59C2411yescharacteristic
588C4⋊C4×C59C2411yescharacteristic
589C4⋊C4×C59C2411yescharacteristic
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59C2×D411yescharacteristic
597C22⋊C4×C59C2×D411yescharacteristic
598C42×C59—21no—
599C42×C59—21no—
600C42×C59C2411yescharacteristic
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59C2×D411yescharacteristic
608C22⋊Dic59C2×D411yescharacteristic
609#11745671—22no—
610#11745670—22no—
611(C2×D59)⋊C4—21no—
612(C2×D59)⋊C4—21no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4C2×D411yescharacteristic
624(C2×D59)⋊C4C2×D411yescharacteristic
625(C2×D59)⋊C4C2×D411yescharacteristic
626(C2×D59)⋊C4C2×D411yescharacteristic
627C4⋊Dic59—21no—
628C4⋊Dic59—21no—
629C4⋊Dic59—21no—
630C4⋊Dic59—21no—
631C4⋊Dic59—21no—
632C4⋊Dic59—21no—
633C4⋊Dic59—21no—
634C4⋊Dic59—21no—
635C4⋊Dic59—21no—
636C4⋊Dic59C2×D411yescharacteristic
637C4⋊Dic59C2411yescharacteristic
638C4⋊Dic59C2411yescharacteristic
639C4⋊Dic59C2411yescharacteristic
640C4⋊Dic59C2411yescharacteristic
641C4⋊Dic59C2411yescharacteristic
642C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4C2×D411yescharacteristic
668Dic59⋊C4C2×D411yescharacteristic
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2411yescharacteristic
678#11745664—22no—
679C2×C59⋊C8—22no—
680C2×C59⋊C8C2411yescharacteristic
681C2×C59⋊C8C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684#11745660—22no—
685#11745659—22no—
686#11745659—22no—
687C8×D59—22no—
688C8×D59—22no—
689C8×D59—22no—
690C8×D59—22no—
691C8×D59—22no—
692C8×D59#4114yescomplemented
693C23×C59—21no—
694C23×C59C22×D411yescharacteristic
695C23×C59C22×D411yescharacteristic
696C22×D59—22no—
697C22×D59—22no—
698C22×D59—22no—
699C22×D59—22no—
700C22×D59—22no—
701C22×D59—21no—
702C22×D59—42no—
703C22×D59—42no—
704C22×D59—42no—
705C22×D59AGL(1,ℤ/8)14yes—
706C22×D59C22×D411yescharacteristic
707C22×D59C22×D411yescharacteristic
708C22×D59C22×D411yescharacteristic
709Q8×C59—21no—
710Q8×C59—21no—
711Q8×C59—42no—
712D4×C59—22no—
713D4×C59—21no—
714D4×C59—21no—
715D4×C59—42no—
716D4×C59—42no—
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—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—42no—
729C2×C4×C59—42no—
730C2×C4×C59—42no—
731C2×C4×C59—42no—
732C2×C4×C59C22×D411yescharacteristic
733C2×C4×C59C22×D411yescharacteristic
734C2×C4×C59C22×D411yescharacteristic
735C2×C4×C59C22×D411yescharacteristic
736C2×C4×C59C2511yescharacteristic
737C22⋊D59—22no—
738C22⋊D59—22no—
739C22⋊D59—42no—
740C22⋊D59—42no—
741C22⋊D59—42no—
742C22⋊D59—42no—
743C22⋊D59—42no—
744C2×Dic59—22no—
745C2×Dic59—22no—
746C2×Dic59—21no—
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—42no—
756C2×Dic59—42no—
757C2×Dic59C22×D411yescharacteristic
758C2×Dic59C22×D411yescharacteristic
759C2×Dic59C22×D411yescharacteristic
760C2×Dic59C22×D411yescharacteristic
761C2×Dic59C22×D411yescharacteristic
762D236—22no—
763D236—21no—
764D236—21no—
765D236—42no—
766D236—42no—
767C4×D59—22no—
768C4×D59—22no—
769C4×D59—22no—
770C4×D59—22no—
771C4×D59—21no—
772C4×D59—21no—
773C4×D59—21no—
774C4×D59—21no—
775C4×D59—22no—
776C4×D59—22no—
777C4×D59—42no—
778C4×D59—42no—
779C4×D59—42no—
780C4×D59—42no—
781C4×D59—42no—
782C4×D59—42no—
783C4×D59—42no—
784C4×D59—42no—
785C4×D59—42no—
786C4×D59—42no—
787C4×D59—42no—
788C4×D59—42no—
789C4×D59—42no—
790C4×D59—42no—
791C4×D59—42no—
792C4×D59C2×#4112yes—
793C4×D592−1+412yes—
794Dic118—21no—
795Dic118—21no—
796Dic118—42no—
797Dic118—42no—
798Dic118—42no—
799Dic118—42no—
800C8×C59—21no—
801C8×C59—21no—
802C8×C59—21no—
803C8×C59C2×#4112yescomplemented
804C59⋊C8—21no—
805C59⋊C8—21no—
806C59⋊C8—21no—
807C59⋊C8C2×#4112yescomplemented
808C2×#3343—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—21no—
812C22×C59—21no—
813C22×C59—21no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59C2×AGL(1,ℤ/8)12yes—
818C22×C59C23×D411yescharacteristic
819C2×D59—21no—
820C2×D59—21no—
821C2×D59—28no—
822C2×D59—21no—
823C2×D59—21no—
824C2×D59—21no—
825C2×D59—44no—
826C2×D59—41no—
827C2×D59—41no—
828C2×D59—41no—
829C2×D59—84no—
830C2×D59#54712yes—
831C2×D59C2×AGL(1,ℤ/8)12yes—
832C2×D59C2×AGL(1,ℤ/8)12yes—
833C2×D59#57812yes—
834C4×C59—21no—
835C4×C59—21no—
836C4×C59—21no—
837C4×C59—21no—
838C4×C59—41no—
839C4×C59—41no—
840C4×C59—41no—
841C4×C59—41no—
842C4×C59—41no—
843C4×C59—41no—
844C4×C59—41no—
845C4×C59C22×#4111yescharacteristic
846C4×C59C2×2−1+411yescharacteristic
847Dic59—21no—
848Dic59—21no—
849Dic59—21no—
850Dic59—21no—
851Dic59—41no—
852Dic59—41no—
853Dic59—41no—
854Dic59—41no—
855Dic59—41no—
856Dic59—41no—
857Dic59—41no—
858Dic59#54712yes—
859C2×#552—591no—
860C2×#547—591no—
861#3343—591no—
862#3343—591no—
863#3343—591no—
864#3343—591no—
865#3343—591no—
866#3343—591no—
867#3343—591no—
868#3343—591no—
869#3343—591no—
870#3343—591no—
871#3343—591no—
872#3343—591no—
873#3343—591no—
874#3343—591no—
875#3343—591no—
876#3343D5911yescharacteristic, direct product factor
877C2×#501—591no—
878C2×#484—591no—
879C2×#482—591no—
880C2×#483—591no—
881C2×#480—591no—
882C2×#477—591no—
883C2×#478—591no—
884C2×#468—591no—
885C2×#465—591no—
886C2×#440—591no—
887C2×#435—591no—
888C2×#428—591no—
889C22×#107—591no—
890C2×C59—22no—
891C2×C59—41no—
892C2×C59—81no—
893C2×C59C2×#54711yescharacteristic
894C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
895C2×C59C2×#57811yescharacteristic
896D59—22no—
897D59—41no—
898D59—81no—
899D59#334314yesdirect product factor
900C22×#41—1181no—
901C22×SD16—591no—
902C22×M16—591no—
903C23×C8—591no—
904#552—591no—
905#552—591no—
906#552—591no—
907#552—591no—
908#552—591no—
909#552—591no—
910#552—591no—
911#552—1181no—
912#552—1181no—
913#552—1181no—
914#552—1181no—
915#552C2×D5911yescharacteristic, complemented
916#547—591no—
917#547—591no—
918#547—591no—
919#547—591no—
920#547—591no—
921#547—591no—
922#547—591no—
923#547—1181no—
924#547—1181no—
925#547—1181no—
926#547—1181no—
927#547C2×D5911yescharacteristic
928C2×C4⋊Q8—591no—
929C2×#126—1181no—
930C2×#125—591no—
931C2×#125—1181no—
932C2×#123—1181no—
933C2×#123—1181no—
934C2×#123—1181no—
935C2×C22⋊Q8—591no—
936C2×C22⋊Q8—591no—
937C2×C22⋊Q8—1181no—
938C2×#121—591no—
939C2×#121—591no—
940C2×C4×Q8—591no—
941C2×C4×D4—591no—
942C2×C4×D4—591no—
943C2×#117—591no—
944C2×#117—1181no—
945C22×C4⋊C4—591no—
946C22×C4⋊C4—591no—
947C22×C4⋊C4—591no—
948#501—591no—
949#501—591no—
950#501—591no—
951#501—591no—
952#501—591no—
953#501—591no—
954#501—591no—
955#501C2×D5911yescharacteristic, complemented
956#484—591no—
957#484—591no—
958#484—591no—
959#484—591no—
960#484—591no—
961#484—591no—
962#484—591no—
963#484C2×D5911yescharacteristic, complemented
964#483—591no—
965#483—591no—
966#483—591no—
967#483—591no—
968#483—591no—
969#483—591no—
970#483—591no—
971#483C2×D5911yescharacteristic, complemented
972#482—591no—
973#482—591no—
974#482—591no—
975#482—591no—
976#482—591no—
977#482—591no—
978#482—591no—
979#482C2×D5911yescharacteristic, complemented
980#480—591no—
981#480—591no—
982#480—591no—
983#480—591no—
984#480—591no—
985#480—591no—
986#480—591no—
987#480C2×D5911yescharacteristic, complemented
988#478—591no—
989#478—591no—
990#478—591no—
991#478—591no—
992#478—591no—
993#478—591no—
994#478—591no—
995#478C2×D5911yescharacteristic, complemented
996#477—591no—
997#477—591no—
998#477—591no—
999#477—591no—
1000#477—591no—
1001#477—591no—
1002#477—591no—
1003#477C2×D5911yescharacteristic, complemented
1004#468—591no—
1005#468—591no—
1006#468—591no—
1007#468—591no—
1008#468—591no—
1009#468—591no—
1010#468—591no—
1011#468C2×D5911yescharacteristic, complemented
1012#465—591no—
1013#465—591no—
1014#465—591no—
1015#465—591no—
1016#465—591no—
1017#465—591no—
1018#465—591no—
1019#465C2×D5911yescharacteristic, complemented
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440—591no—
1024#440—591no—
1025#440—591no—
1026#440—591no—
1027#440C2×D5911yescharacteristic, complemented
1028#435—591no—
1029#435—591no—
1030#435—591no—
1031#435—591no—
1032#435—591no—
1033#435—591no—
1034#435—591no—
1035#435C2×D5911yescharacteristic, complemented
1036#428—591no—
1037#428—591no—
1038#428—591no—
1039#428—591no—
1040#428—591no—
1041#428—591no—
1042#428—591no—
1043#428C2×D5911yescharacteristic, complemented
1044C2×#107—591no—
1045C2×#107—591no—
1046C2×#107—591no—
1047C2×#107—591no—
1048C2×#107—591no—
1049C2×#107—591no—
1050C2×#107—591no—
1051C2×#107—591no—
1052C2×#107—591no—
1053C2×#107—591no—
1054C2×#107—591no—
1055C2×#107—591no—
1056C2×#107—591no—
1057C2×#107C2×D5911yescharacteristic, complemented
1058C2×#106—591no—
1059C2×#106—591no—
1060C2×#106—591no—
1061C2×C4⋊C8—591no—
1062C2×#103—591no—
1063C2×#103—591no—
1064C2×#103—591no—
1065C2×#102—591no—
1066C2×#102—591no—
1067C2×#102—591no—
1068C2×C22⋊C8—591no—
1069C2×C22⋊C8—591no—
1070C2×#97—591no—
1071C59C2×#334311yescharacteristic, complemented, Sylow
1072C2×#41—21no—
1073C2×#41—1181no—
1074C2×#41—1181no—
1075C2×#41—1181no—
1076C2×#41—1181no—
1077C2×#41—1181no—
1078C2×#41—1181no—
1079C2×#41—1181no—
1080C2×#41—2368no—
1081C22×Q8—591no—
1082C22×Q8—1181no—
1083C22×D4—591no—
1084C22×D4—591no—
1085C22×D4—1181no—
1086C22×D4—1181no—
1087C23×C4—591no—
1088C23×C4—591no—
1089C23×C4—1181no—
1090C23×C4—1181no—
1091C23×C4—1181no—
1092C23×C4—1181no—
1093C2×SD16—591no—
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16—1184no—
1097C2×SD16C22×D5911yescharacteristic
1098C2×M16—591no—
1099C2×M16—591no—
1100C2×M16—591no—
1101C2×M16—1184no—
1102C2×M16C22×D5911yescharacteristic
1103C22×C8—591no—
1104C22×C8—591no—
1105C22×C8—591no—
1106C22×C8—591no—
1107C22×C8—591no—
1108C22×C8—591no—
1109C22×C8—591no—
1110C22×C8—1184no—
1111C22×C8C22×D5911yescharacteristic
1112C4⋊Q8—591no—
1113C4⋊Q8—591no—
1114C4⋊Q8—591no—
1115C4⋊Q8—1181no—
1116C4⋊Q8—1181no—
1117C4⋊Q8C22×D5911yescharacteristic
1118#126—21no—
1119#126—1181no—
1120#126—1181no—
1121#126—1181no—
1122#126—1181no—
1123#126—1181no—
1124#126—1181no—
1125#126—1181no—
1126#125—21no—
1127#125—591no—
1128#125—591no—
1129#125—591no—
1130#125—1181no—
1131#125—1181no—
1132#125—1181no—
1133#125—1181no—
1134#125—1181no—
1135#125—1181no—
1136#125—1181no—
1137#125—1181no—
1138#125—1181no—
1139#125C22×D5911yescharacteristic
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—1181no—
1144#123—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—
1159#123—1181no—
1160#123—1181no—
1161#123—1181no—
1162#123—1181no—
1163#123—1181no—
1164C22⋊Q8—21no—
1165C22⋊Q8—591no—
1166C22⋊Q8—591no—
1167C22⋊Q8—591no—
1168C22⋊Q8—591no—
1169C22⋊Q8—591no—
1170C22⋊Q8—591no—
1171C22⋊Q8—1181no—
1172C22⋊Q8—1181no—
1173C22⋊Q8—1181no—
1174C22⋊Q8—1181no—
1175C22⋊Q8—1181no—
1176C22⋊Q8—1181no—
1177C22⋊Q8—1181no—
1178C22⋊Q8—1181no—
1179C22⋊Q8—1181no—
1180C22⋊Q8—1181no—
1181C22⋊Q8—1181no—
1182C22⋊Q8C22×D5911yescharacteristic
1183C22⋊Q8C22×D5911yescharacteristic
1184#121—591no—
1185#121—591no—
1186#121—591no—
1187#121—591no—
1188#121—591no—
1189#121—591no—
1190#121—1181no—
1191#121—1181no—
1192#121—1181no—
1193#121—1181no—
1194#121C22×D5911yescharacteristic
1195#121C22×D5911yescharacteristic
1196C4×Q8—591no—
1197C4×Q8—591no—
1198C4×Q8—591no—
1199C4×Q8—1181no—
1200C4×Q8—1181no—
1201C4×Q8C22×D5911yescharacteristic
1202C4×D4—591no—
1203C4×D4—591no—
1204C4×D4—591no—
1205C4×D4—591no—
1206C4×D4—591no—
1207C4×D4—591no—
1208C4×D4—591no—
1209C4×D4—591no—
1210C4×D4—591no—
1211C4×D4—591no—
1212C4×D4—1181no—
1213C4×D4—1181no—
1214C4×D4C22×D5911yescharacteristic
1215C4×D4C22×D5911yescharacteristic
1216#117—21no—
1217#117—591no—
1218#117—591no—
1219#117—591no—
1220#117—1181no—
1221#117—1181no—
1222#117—1181no—
1223#117—1181no—
1224#117—1181no—
1225#117—1181no—
1226#117—1181no—
1227#117—1181no—
1228#117—1181no—
1229#117C22×D5911yescharacteristic
1230C2×C4⋊C4—591no—
1231C2×C4⋊C4—591no—
1232C2×C4⋊C4—591no—
1233C2×C4⋊C4—591no—
1234C2×C4⋊C4—591no—
1235C2×C4⋊C4—591no—
1236C2×C4⋊C4—591no—
1237C2×C4⋊C4—591no—
1238C2×C4⋊C4—591no—
1239C2×C4⋊C4—591no—
1240C2×C4⋊C4—591no—
1241C2×C4⋊C4—591no—
1242C2×C4⋊C4—591no—
1243C2×C4⋊C4—591no—
1244C2×C4⋊C4—591no—
1245C2×C4⋊C4—591no—
1246C2×C4⋊C4—1181no—
1247C2×C4⋊C4—1181no—
1248C2×C4⋊C4—1181no—
1249C2×C4⋊C4—1181no—
1250C2×C4⋊C4—1181no—
1251C2×C4⋊C4—1181no—
1252C2×C4⋊C4—1181no—
1253C2×C4⋊C4—1181no—
1254C2×C4⋊C4—1181no—
1255C2×C4⋊C4—1181no—
1256C2×C4⋊C4—1181no—
1257C2×C4⋊C4—1181no—
1258C2×C4⋊C4—1181no—
1259C2×C4⋊C4—1181no—
1260C2×C4⋊C4—1181no—
1261C2×C4⋊C4C22×D5911yescharacteristic
1262C2×C4⋊C4C22×D5911yescharacteristic
1263C2×C4⋊C4C22×D5911yescharacteristic
1264C2×C22⋊C4—591no—
1265C2×C22⋊C4—591no—
1266C2×C22⋊C4—1181no—
1267C2×C22⋊C4—1181no—
1268C2×C22⋊C4—1181no—
1269C2×C22⋊C4—1181no—
1270C2×C22⋊C4—1181no—
1271C2×C22⋊C4—1181no—
1272C2×C42—591no—
1273C2×C42—1181no—
1274C2×C42—1181no—
1275#107—591no—
1276#107—591no—
1277#107—591no—
1278#107—591no—
1279#107—591no—
1280#107—591no—
1281#107—591no—
1282#107—591no—
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107—591no—
1288#107—591no—
1289#107—591no—
1290#107—591no—
1291#107—591no—
1292#107—591no—
1293#107C22×D5911yescharacteristic
1294#107C22×D5911yescharacteristic
1295#107C22×D5911yescharacteristic
1296#107C22×D5911yescharacteristic
1297#107C22×D5911yescharacteristic
1298#107C22×D5911yescharacteristic
1299#106—591no—
1300#106—591no—
1301#106—591no—
1302#106—591no—
1303#106—591no—
1304#106—591no—
1305#106—591no—
1306#106—591no—
1307#106—591no—
1308#106C22×D5911yescharacteristic
1309#106C22×D5911yescharacteristic
1310#106C22×D5911yescharacteristic
1311C4⋊C8—591no—
1312C4⋊C8—591no—
1313C4⋊C8—591no—
1314C4⋊C8C22×D5911yescharacteristic
1315#103—591no—
1316#103—591no—
1317#103—591no—
1318#103—591no—
1319#103—591no—
1320#103—591no—
1321#103—591no—
1322#103—591no—
1323#103—591no—
1324#103C22×D5911yescharacteristic
1325#103C22×D5911yescharacteristic
1326#103C22×D5911yescharacteristic
1327#102—591no—
1328#102—591no—
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102—591no—
1333#102—591no—
1334#102—591no—
1335#102—591no—
1336#102C22×D5911yescharacteristic
1337#102C22×D5911yescharacteristic
1338#102C22×D5911yescharacteristic
1339C22⋊C8—591no—
1340C22⋊C8—591no—
1341C22⋊C8—591no—
1342C22⋊C8—591no—
1343C22⋊C8—591no—
1344C22⋊C8—591no—
1345C22⋊C8C22×D5911yescharacteristic
1346C22⋊C8C22×D5911yescharacteristic
1347#97—591no—
1348#97—591no—
1349#97—591no—
1350#97C22×D5911yescharacteristic
1351C24—591no—
1352C24—591no—
1353C24—1181no—
1354#41—44no—
1355#41—2364no—
1356#41—2364no—
1357#41—2364no—
1358#41—2364no—
1359#41—2364no—
1360#41—2364no—
1361#41—2364no—
1362C2×Q8—21no—
1363C2×Q8—591no—
1364C2×Q8—1181no—
1365C2×Q8—1181no—
1366C2×Q8—1181no—
1367C2×Q8—1182no—
1368C2×Q8—1182no—
1369C2×Q8—1181no—
1370C2×Q8—2364no—
1371C2×Q8C23×D5911yescharacteristic
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—591no—
1375C2×D4—591no—
1376C2×D4—591no—
1377C2×D4—591no—
1378C2×D4—1181no—
1379C2×D4—1181no—
1380C2×D4—1182no—
1381C2×D4—1182no—
1382C2×D4—1181no—
1383C2×D4—1184no—
1384C2×D4—1181no—
1385C2×D4—1181no—
1386C2×D4—1181no—
1387C2×D4—1181no—
1388C2×D4—2364no—
1389C2×D4—2364no—
1390C2×D4D4×D5911yescharacteristic
1391C2×D4C23×D5911yescharacteristic
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—591no—
1397C22×C4—591no—
1398C22×C4—591no—
1399C22×C4—591no—
1400C22×C4—591no—
1401C22×C4—591no—
1402C22×C4—591no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—1182no—
1408C22×C4—1182no—
1409C22×C4—1182no—
1410C22×C4—1182no—
1411C22×C4—1181no—
1412C22×C4—1181no—
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—1181no—
1428C22×C4—1181no—
1429C22×C4—1181no—
1430C22×C4—2364no—
1431C22×C4—2364no—
1432C22×C4—2364no—
1433C22×C4—2364no—
1434C22×C4C23×D5911yescharacteristic
1435C22×C4C23×D5911yescharacteristic
1436SD16—22no—
1437SD16—1182no—
1438SD16—1182no—
1439SD16—1182no—
1440M16—22no—
1441M16—1182no—
1442M16—1182no—
1443M16—1182no—
1444C2×C8—22no—
1445C2×C8—591no—
1446C2×C8—594no—
1447C2×C8—591no—
1448C2×C8—591no—
1449C2×C8—591no—
1450C2×C8—1182no—
1451C2×C8—1182no—
1452C2×C8—1182no—
1453C2×C8—1182no—
1454C2×C8—1182no—
1455C2×C8—1182no—
1456C2×C8C23×D5911yescharacteristic
1457C2×C8C23×D5911yescharacteristic
1458C2×C8C23×D5911yescharacteristic
1459C2×C8C23×D5911yescharacteristic
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—591no—
1470C4⋊C4—591no—
1471C4⋊C4—591no—
1472C4⋊C4—591no—
1473C4⋊C4—591no—
1474C4⋊C4—591no—
1475C4⋊C4—591no—
1476C4⋊C4—591no—
1477C4⋊C4—591no—
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⋊C4—1181no—
1498C4⋊C4—1181no—
1499C4⋊C4—1181no—
1500C4⋊C4—1181no—
1501C4⋊C4—1181no—
1502C4⋊C4—1181no—
1503C4⋊C4—1181no—
1504C4⋊C4—1181no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4D4×D5911yescharacteristic
1512C4⋊C4C23×D5911yescharacteristic
1513C4⋊C4C23×D5911yescharacteristic
1514C4⋊C4C23×D5911yescharacteristic
1515C4⋊C4C23×D5911yescharacteristic
1516C4⋊C4C23×D5911yescharacteristic
1517C4⋊C4C23×D5911yescharacteristic
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—591no—
1525C22⋊C4—591no—
1526C22⋊C4—591no—
1527C22⋊C4—591no—
1528C22⋊C4—591no—
1529C22⋊C4—591no—
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—
1542C22⋊C4—1181no—
1543C22⋊C4—1181no—
1544C22⋊C4—1181no—
1545C22⋊C4—1181no—
1546C22⋊C4—1181no—
1547C22⋊C4—1181no—
1548C22⋊C4D4×D5911yescharacteristic
1549C22⋊C4D4×D5911yescharacteristic
1550C42—21no—
1551C42—21no—
1552C42—591no—
1553C42—591no—
1554C42—591no—
1555C42—1181no—
1556C42—1181no—
1557C42—1181no—
1558C42—1181no—
1559C42—1181no—
1560C42—1181no—
1561C42C23×D5911yescharacteristic
1562C23—21no—
1563C23—591no—
1564C23—594no—
1565C23—591no—
1566C23—591no—
1567C23—1182no—
1568C23—1182no—
1569C23—1182no—
1570C23—1182no—
1571C23—1182no—
1572C23—1181no—
1573C23—2362no—
1574C23—2362no—
1575C23—2362no—
1576C23C2×D4×D5911yescharacteristic
1577C23C2×D4×D5911yescharacteristic
1578Q8—21no—
1579Q8—21no—
1580Q8—42no—
1581Q8—1181no—
1582Q8—1181no—
1583Q8—2362no—
1584Q8—2362no—
1585Q8—2362no—
1586Q8—2362no—
1587D4—22no—
1588D4—21no—
1589D4—21no—
1590D4—42no—
1591D4—42no—
1592D4—1182no—
1593D4—1182no—
1594D4—1182no—
1595D4—1181no—
1596D4—1181no—
1597D4—2362no—
1598D4—2362no—
1599D4—2362no—
1600D4—2362no—
1601D4—2362no—
1602D4—2362no—
1603D4—2362no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—42no—
1616C2×C4—42no—
1617C2×C4—42no—
1618C2×C4—42no—
1619C2×C4—591no—
1620C2×C4—592no—
1621C2×C4—592no—
1622C2×C4—591no—
1623C2×C4—591no—
1624C2×C4—591no—
1625C2×C4—591no—
1626C2×C4—1182no—
1627C2×C4—1182no—
1628C2×C4—1182no—
1629C2×C4—1182no—
1630C2×C4—1182no—
1631C2×C4—1182no—
1632C2×C4—1182no—
1633C2×C4—1182no—
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—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—2362no—
1646C2×C4—2362no—
1647C2×C4—2362no—
1648C2×C4—2362no—
1649C2×C4—2362no—
1650C2×C4—2362no—
1651C2×C4—2362no—
1652C2×C4—2362no—
1653C2×C4—2362no—
1654C2×C4—2362no—
1655C2×C4—2362no—
1656C2×C4—2362no—
1657C2×C4—2362no—
1658C2×C4—2362no—
1659C2×C4—2362no—
1660C2×C4—2362no—
1661C2×C4—2362no—
1662C2×C4—2362no—
1663C2×C4—2362no—
1664C2×C4C2×D4×D5911yescharacteristic
1665C2×C4C2×D4×D5911yescharacteristic
1666C2×C4C2×D4×D5911yescharacteristic
1667C2×C4C2×D4×D5911yescharacteristic
1668C2×C4C24×D5911yescharacteristic
1669C8—21no—
1670C8—21no—
1671C8—21no—
1672C8—592no—
1673C8—1181no—
1674C8—1181no—
1675C8—1181no—
1676C8#41×D5912yescomplemented
1677C22—21no—
1678C22—21no—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—592no—
1686C22—592no—
1687C22—592no—
1688C22—592no—
1689C22—1188no—
1690C22—1181no—
1691C22—1181no—
1692C22—1181no—
1693C22—1181no—
1694C22—1181no—
1695C22—4724no—
1696C22—2364no—
1697C22—2361no—
1698C22—2361no—
1699C22—2361no—
1700C22AGL(1,ℤ/8)×D5912yes—
1701C22C22×D4×D5911yescharacteristic
1702C4—21no—
1703C4—21no—
1704C4—21no—
1705C4—21no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—592no—
1714C4—1181no—
1715C4—1181no—
1716C4—1181no—
1717C4—1181no—
1718C4—2361no—
1719C4—2361no—
1720C4—2361no—
1721C4—2361no—
1722C4—2361no—
1723C4—2361no—
1724C4—2361no—
1725C4C2×#41×D5911yescharacteristic
1726C42−1+4×D5911yescharacteristic
1727C2—22no—
1728C2—41no—
1729C2—81no—
1730C2—594no—
1731C2—1182no—
1732C2—4721no—
1733C2—2361no—
1734C2#547×D5911yescharacteristic
1735C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1736C2#578×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3343C2
socleC22×C59C23×D4
prime radical#547×D59C2
hypercenter#3343D59
hypocenterC59C2×#3343
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3343

Complements

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

NH ≅ G/Ntype
1. #552×D59C2semidirect
3. #21436543C2semidirect
4. #21436542C2semidirect
5. #21436541C2semidirect
6. #21436540C2semidirect
7. #21436539C2semidirect
8. #21436538C2semidirect
9. #21436537C2semidirect
10. #21436536C2semidirect
11. #21436535C2semidirect
12. #21436534C2semidirect
13. #21436533C2semidirect
14. #21436532C2semidirect
15. #21436531C2semidirect
16. #21436530C2semidirect
17. #21436529C2semidirect
18. #501×D59C2semidirect
19. #484×D59C2semidirect
20. #482×D59C2semidirect
21. #483×D59C2semidirect
22. #480×D59C2semidirect
23. #477×D59C2semidirect
24. #478×D59C2semidirect
25. #468×D59C2semidirect
26. #465×D59C2semidirect
27. #440×D59C2semidirect
28. #435×D59C2semidirect
29. #428×D59C2semidirect
30. C2×#107×D59C2semidirect
31. C59×#3343C2semidirect
36. #16838094C22semidirect
37. #16838093C22semidirect
38. #16838092C22semidirect
39. #16838091C22semidirect
40. #16838090C22semidirect
43. #16838087C22semidirect
44. #16838086C22semidirect
78. #16837812C22semidirect
79. #16837811C22semidirect
80. #16837810C22semidirect
81. #16837810C22semidirect
82. #16837809C22semidirect
83. #16837809C22semidirect
84. #16837808C22semidirect
85. #16837739C22semidirect
86. #16837739C22semidirect
87. #16837738C22semidirect
88. #16837737C22semidirect
89. #16837736C22semidirect
90. #16837736C22semidirect
91. #16837735C22semidirect
92. #16837734C22semidirect
93. #16837734C22semidirect
94. #16837733C22semidirect
95. #16837732C22semidirect
96. #16837731C22semidirect
97. #16837731C22semidirect
98. #16837730C22semidirect
99. #16837729C22semidirect
100. #16837728C22semidirect
101. #16837727C22semidirect
102. #16837726C22semidirect
103. #16837725C22semidirect
104. #16837724C22semidirect
105. #16837723C22semidirect
106. #16837717C22semidirect
107. #16837717C22semidirect
108. #16837716C22semidirect
109. #16837715C22semidirect
110. #16837714C22semidirect
111. #16837714C22semidirect
112. #16837713C22semidirect
113. #16837705C22semidirect
114. #16837704C22semidirect
115. #16837703C22semidirect
116. #16837702C22semidirect
117. #16837701C22semidirect
118. #16837700C22semidirect
119. #16837699C22semidirect
120. #16837698C22semidirect
121. #16837697C22semidirect
122. #16837696C22semidirect
123. #16837696C22semidirect
124. #16837695C22semidirect
125. #16837695C22semidirect
126. #16837694C22semidirect
127. #16837651C22semidirect
128. #16837650C22semidirect
129. #16837649C22semidirect
130. #16837648C22semidirect
131. #16837647C22semidirect
132. #16837646C22semidirect
133. #16837645C22semidirect
134. #16837634C22semidirect
135. #16837633C22semidirect
136. #16837632C22semidirect
137. #16837631C22semidirect
138. #16837630C22semidirect
139. #16837629C22semidirect
140. #16837628C22semidirect
141. #16837505C22semidirect
142. #16837504C22semidirect
143. #16837503C22semidirect
144. #16837502C22semidirect
145. #16837501C22semidirect
146. #16837500C22semidirect
147. #16837499C22semidirect
148. #16837476C22semidirect
149. #16837475C22semidirect
150. #16837474C22semidirect
151. #16837473C22semidirect
152. #16837472C22semidirect
153. #16837471C22semidirect
154. #16837470C22semidirect
155. #16837445C22semidirect
156. #16837444C22semidirect
157. #16837443C22semidirect
158. #16837443C22semidirect
159. #16837442C22semidirect
160. #16837441C22semidirect
161. #16837441C22semidirect
162. C2×#14273661C22semidirect
163. C2×#14273660C22semidirect
164. C2×#14273660C22semidirect
171. #107×D59C22semidirect
172. #107×D59C22semidirect
173. #107×D59C22semidirect
174. #107×D59C22semidirect
188. C59×#552C22semidirect
190. C59×#501C22semidirect
191. C59×#484C22semidirect
192. C59×#483C22semidirect
193. C59×#482C22semidirect
194. C59×#480C22semidirect
195. C59×#478C22semidirect
196. C59×#477C22semidirect
197. C59×#468C22semidirect
198. C59×#465C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#428C22semidirect
202. C2×#107×C59C22semidirect
692. C8×D59#41semidirect
803. C8×C59C2×#41semidirect
807. C59⋊C8C2×#41semidirect
876. #3343D59direct (N × H)
899. D59#3343direct (N × H)
915. #552C2×D59semidirect
955. #501C2×D59semidirect
963. #484C2×D59semidirect
971. #483C2×D59semidirect
979. #482C2×D59semidirect
987. #480C2×D59semidirect
995. #478C2×D59semidirect
1003. #477C2×D59semidirect
1011. #468C2×D59semidirect
1019. #465C2×D59semidirect
1027. #440C2×D59semidirect
1035. #435C2×D59semidirect
1043. #428C2×D59semidirect
1057. C2×#107C2×D59semidirect
1071. C59C2×#3343semidirect
1676. C8#41×D59semidirect

Maximal subgroups

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

subgroupindex
#552×D592
#547×D592
#214365432
#214365422
#214365412
#214365402
#214365392
#214365382
#214365372
#214365362
#214365352
#214365342
#214365332
#214365322
#214365312
#214365302
#214365292
#501×D592
#484×D592
#482×D592
#483×D592
#480×D592
#477×D592
#478×D592
#468×D592
#465×D592
#440×D592
#435×D592
#428×D592
C2×#107×D592
C59×#33432
C2×#334359