Finite Group Databasebeta

← D59×#3118 #29456912

Subgroups — D59×#3118 #29456912

Order 15104.

2274 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#542×D59C211yesmaximal, characteristic, complemented
2#518×D59C211yesmaximal, characteristic, complemented
3#21434287C211yesmaximal, characteristic, complemented
4#21434286C211yesmaximal, characteristic, complemented
5#21434285C211yesmaximal, characteristic, complemented
6#21434284C211yesmaximal, characteristic, complemented
7#21434283C211yesmaximal, characteristic, complemented
8#21434282C211yesmaximal, characteristic, complemented
9#21434281C211yesmaximal, characteristic, complemented
10#21434280C211yesmaximal, characteristic, complemented
11#21434279C211yesmaximal, characteristic, complemented
12#21434278C211yesmaximal, characteristic, complemented
13#21434277C211yesmaximal, characteristic, complemented
14#21434276C211yesmaximal, characteristic, complemented
15#21434275C211yesmaximal, characteristic, complemented
16#21434274C211yesmaximal, characteristic, complemented
17#21434273C211yesmaximal, characteristic, complemented
18#485×D59C211yesmaximal, characteristic, complemented
19#482×D59C211yesmaximal, characteristic, complemented
20#476×D59C211yesmaximal, characteristic, complemented
21#474×D59C211yesmaximal, characteristic, complemented
22#463×D59C211yesmaximal, characteristic, complemented
23#463×D59C211yesmaximal, characteristic, complemented
24#450×D59C211yesmaximal, characteristic, complemented
25#447×D59C211yesmaximal, characteristic
26#442×D59C211yesmaximal, characteristic, complemented
27#440×D59C211yesmaximal, characteristic, complemented
28C4×SD16×D59C211yesmaximal, characteristic, complemented
29C4×D8×D59C211yesmaximal, characteristic, complemented
30#433×D59C211yesmaximal, characteristic, complemented
31C59×#3118C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C2×SD16×D59C2211yescharacteristic
34C2×SD16×D59C2211yescharacteristic
35C2×D8×D59C2211yescharacteristic
36C2×D8×D59C2211yescharacteristic
37#16838026C2211yescharacteristic, complemented
38#16838025C2211yescharacteristic, complemented
39#16838024C2211yescharacteristic, complemented
40#16838023C2211yescharacteristic, complemented
41#16838022—21no—
42#16838021C2211yescharacteristic, complemented
43#16838020—21no—
44#16838019C2211yescharacteristic, complemented
45#16838018—21no—
46#16838017C2211yescharacteristic, complemented
47#16838016—21no—
48C4⋊Q8×D59C2211yescharacteristic, complemented
49#126×D59—21no—
50#124×D59—21no—
51#124×D59C2211yescharacteristic, complemented
52#123×D59—21no—
53C22⋊Q8×D59—21no—
54C22⋊Q8×D59C2211yescharacteristic
55#121×D59C2211yescharacteristic
56#16837877C2211yescharacteristic, complemented
57#16837876C2211yescharacteristic, complemented
58#16837876C2211yescharacteristic, complemented
59#16837875—21no—
60#16837875—21no—
61#16837874—21no—
62#16837874—21no—
63#16837874C2211yescharacteristic, complemented
64#16837874C2211yescharacteristic, complemented
65#16837874C2211yescharacteristic, complemented
66#16837874C2211yescharacteristic, complemented
67C4×Q8×D59C2211yescharacteristic, complemented
68C4×D4×D59—21no—
69C4×D4×D59—21no—
70C4×D4×D59C2211yescharacteristic
71C4×D4×D59C2211yescharacteristic
72C4×D4×D59C2211yescharacteristic
73C4×D4×D59C2211yescharacteristic
74C4×D4×D59C2211yescharacteristic, complemented
75#117×D59C2211yescharacteristic
76#117×D59C2211yescharacteristic
77C2×C22⋊C4×D59—21no—
78C2×C22⋊C4×D59—21no—
79#16837746C2211yescharacteristic, complemented
80#16837745C2211yescharacteristic, complemented
81#16837744C2211yescharacteristic, complemented
82#16837743C2211yescharacteristic, complemented
83#16837742C2211yescharacteristic, complemented
84#16837741C2211yescharacteristic, complemented
85#16837740C2211yescharacteristic, complemented
86#16837729C2211yescharacteristic, complemented
87#16837728C2211yescharacteristic, complemented
88#16837727C2211yescharacteristic, complemented
89#16837726C2211yescharacteristic, complemented
90#16837725C2211yescharacteristic, complemented
91#16837724C2211yescharacteristic, complemented
92#16837723C2211yescharacteristic, complemented
93#16837693C2211yescharacteristic, complemented
94#16837692C2211yescharacteristic, complemented
95#16837691C2211yescharacteristic, complemented
96#16837691C2211yescharacteristic, complemented
97#16837690C2211yescharacteristic, complemented
98#16837690C2211yescharacteristic, complemented
99#16837689C2211yescharacteristic, complemented
100#16837683C2211yescharacteristic, complemented
101#16837682C2211yescharacteristic, complemented
102#16837681C2211yescharacteristic, complemented
103#16837681C2211yescharacteristic, complemented
104#16837680C2211yescharacteristic, complemented
105#16837680C2211yescharacteristic, complemented
106#16837679C2211yescharacteristic, complemented
107#16837620C2211yescharacteristic, complemented
108#16837620C2211yescharacteristic, complemented
109#16837619C2211yescharacteristic, complemented
110#16837619C2211yescharacteristic, complemented
111#16837618C2211yescharacteristic, complemented
112#16837618C2211yescharacteristic, complemented
113#16837617C2211yescharacteristic, complemented
114#16837617C2211yescharacteristic, complemented
115#16837616C2211yescharacteristic, complemented
116#16837616C2211yescharacteristic, complemented
117#16837615C2211yescharacteristic, complemented
118#16837615C2211yescharacteristic, complemented
119#16837614C2211yescharacteristic, complemented
120#16837614C2211yescharacteristic, complemented
121#16837555C2211yescharacteristic, complemented
122#16837554C2211yescharacteristic, complemented
123#16837554C2211yescharacteristic, complemented
124#16837553C2211yescharacteristic, complemented
125#16837552C2211yescharacteristic, complemented
126#16837551C2211yescharacteristic, complemented
127#16837551C2211yescharacteristic, complemented
128#16837538C2211yescharacteristic
129#16837537C2211yescharacteristic
130#16837537C2211yescharacteristic
131#16837536C2211yescharacteristic
132#16837535C2211yescharacteristic
133#16837534C2211yescharacteristic
134#16837534C2211yescharacteristic
135#16837515C2211yescharacteristic, complemented
136#16837514C2211yescharacteristic, complemented
137#16837513C2211yescharacteristic, complemented
138#16837512C2211yescharacteristic, complemented
139#16837512C2211yescharacteristic, complemented
140#16837511C2211yescharacteristic, complemented
141#16837511C2211yescharacteristic, complemented
142#16837505C2211yescharacteristic, complemented
143#16837504C2211yescharacteristic, complemented
144#16837503C2211yescharacteristic, complemented
145#16837502C2211yescharacteristic, complemented
146#16837501C2211yescharacteristic, complemented
147#16837500C2211yescharacteristic, complemented
148#16837499C2211yescharacteristic, complemented
149#16837493C2211yescharacteristic, complemented
150C4×#11745660C2211yescharacteristic, complemented
151SD16×Dic59C2211yescharacteristic, complemented
152C4×#11745671C2211yescharacteristic, complemented
153#16837489C2211yescharacteristic, complemented
154C4×#11745670C2211yescharacteristic, complemented
155#16837487C2211yescharacteristic, complemented
156C4×D472C2211yescharacteristic, complemented
157D8×Dic59C2211yescharacteristic, complemented
158#16837484C2211yescharacteristic, complemented
159C4×#11745669C2211yescharacteristic, complemented
160C4×#11745669C2211yescharacteristic, complemented
161#16837482C2211yescharacteristic, complemented
162#16837482C2211yescharacteristic, complemented
163#16837464C2211yescharacteristic, complemented
164#16837463C2211yescharacteristic, complemented
165#16837462C2211yescharacteristic, complemented
166#16837462C2211yescharacteristic, complemented
167#16837461C2211yescharacteristic, complemented
168#16837460C2211yescharacteristic, complemented
169#16837460C2211yescharacteristic, complemented
170#107×D59C2211yescharacteristic, complemented
171#107×D59C2211yescharacteristic, complemented
172#106×D59C2211yescharacteristic, complemented
173#106×D59C2211yescharacteristic, complemented
174C4⋊C8×D59C2211yescharacteristic, complemented
175C4⋊C8×D59C2211yescharacteristic, complemented
176#103×D59C2211yescharacteristic, complemented
177#103×D59C2211yescharacteristic, complemented
178#102×D59C2211yescharacteristic
179#102×D59C2211yescharacteristic
180#102×D59C2211yescharacteristic
181#102×D59C2211yescharacteristic
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184C22⋊C8×D59C2211yescharacteristic
185C22⋊C8×D59C2211yescharacteristic
186#97×D59C2211yescharacteristic, complemented
187C4×C8×D59C2211yescharacteristic, complemented
188C59×#542C2211yescharacteristic, complemented
189C59×#518C2211yescharacteristic, complemented
190C59×#485C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#476C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#450C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic
198C59×#442C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C4×SD16×C59C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203C24×D59—21no—
204C2×Q8×D59—21no—
205C2×Q8×D59C2311yescharacteristic
206C22×D236C2311yescharacteristic
207C22×C22⋊D59—21no—
208C2×D4×D59—24no—
209C2×D4×D59—24no—
210C2×D4×D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59—21no—
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215C2×D4×D59C2311yescharacteristic
216C2×D4×D59C2311yescharacteristic
217C2×D4×D59C2311yescharacteristic
218C22×C4×D59—21no—
219C22×C4×D59—21no—
220C22×C4×D59—21no—
221C22×C4×D59—21no—
222C22×C4×D59—21no—
223C22×C4×D59C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230SD16×D59—24no—
231SD16×D59—24no—
232C2×D472C2311yescharacteristic
233C2×D472C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238D8×D59—24no—
239D8×D59—24no—
240C2×C8×D59C2311yescharacteristic
241C2×C8×D59C2311yescharacteristic
242C2×C8×D59C2311yescharacteristic
243C2×C8×D59C2311yescharacteristic
244#14273727C2311yescharacteristic, complemented
245#14273726—21no—
246#14273726C2311yescharacteristic, complemented
247#14273726C2311yescharacteristic, complemented
248#14273725—21no—
249#14273722—21no—
250#14273722—21no—
251#14273722—21no—
252#14273721—21no—
253#14273720—21no—
254#14273720—21no—
255#14273720—21no—
256#14273716—21no—
257#14273716C2311yescharacteristic, complemented
258#14273715—21no—
259#14273715C2311yescharacteristic, complemented
260#14273714—21no—
261#14273714C2311yescharacteristic, complemented
262#14273713—21no—
263#14273713—21no—
264#14273713—21no—
265#14273713—21no—
266#14273713—21no—
267#14273713—21no—
268#14273712—21no—
269#14273712—21no—
270#14273711—21no—
271#14273710—21no—
272#14273709—21no—
273#14273709—21no—
274#14273708—21no—
275#14273707—21no—
276#14273707C2311yescharacteristic
277#14273706—21no—
278#14273706C2311yescharacteristic
279#14273705—21no—
280#14273705—21no—
281#14273705—21no—
282#14273704—21no—
283#14273704—21no—
284#14273704—21no—
285#14273703—21no—
286#14273703C2311yescharacteristic
287#14273702C2311yescharacteristic
288#14273701C2311yescharacteristic
289#14273700—21no—
290#14273699—21no—
291#14273698C2311yescharacteristic
292Q8×Dic59C2311yescharacteristic, complemented
293C4×Dic118—21no—
294C4×Dic118C2311yescharacteristic, complemented
295#14273692—21no—
296#14273692C2311yescharacteristic, complemented
297C4×D236—21no—
298C4×D236—21no—
299C4×D236C2311yescharacteristic
300C4×D236C2311yescharacteristic
301C4×D236C2311yescharacteristic
302C4×D236C2311yescharacteristic
303C4×D236C2311yescharacteristic, complemented
304D4×Dic59—21no—
305D4×Dic59—21no—
306D4×Dic59C2311yescharacteristic
307D4×Dic59C2311yescharacteristic
308D4×Dic59C2311yescharacteristic
309D4×Dic59C2311yescharacteristic
310D4×Dic59C2311yescharacteristic, complemented
311#14273689—21no—
312#14273689—21no—
313#14273689C2311yescharacteristic
314#14273689C2311yescharacteristic
315#14273689C2311yescharacteristic
316#14273689C2311yescharacteristic
317#14273689C2311yescharacteristic, complemented
318C4×C22⋊D59—21no—
319C4×C22⋊D59—21no—
320C4×C22⋊D59—21no—
321C4×C22⋊D59—21no—
322C4×C22⋊D59—21no—
323C4×C22⋊D59—21no—
324C4×C22⋊D59—21no—
325C4×C22⋊D59—21no—
326C4×C22⋊D59—21no—
327(C22⋊D59)⋊C4—21no—
328(C22⋊D59)⋊C4—21no—
329(C22⋊D59)⋊C4—21no—
330(C22⋊D59)⋊C4—21no—
331(C22⋊D59)⋊C4—21no—
332(C22⋊D59)⋊C4—21no—
333(C22⋊D59)⋊C4—21no—
334(C22⋊D59)⋊C4—21no—
335(C22⋊D59)⋊C4—21no—
336#14273686C2311yescharacteristic
337#14273686C2311yescharacteristic
338#14273685D411yescharacteristic
339#14273685D411yescharacteristic
340#14273685C2311yescharacteristic
341#14273685C2311yescharacteristic
342#14273684—21no—
343#14273684C2311yescharacteristic
344#14273684C2311yescharacteristic
345#14273683—21no—
346#14273683D411yescharacteristic
347#14273683D411yescharacteristic
348C4⋊C4×D59—21no—
349C4⋊C4×D59—21no—
350C4⋊C4×D59—21no—
351C4⋊C4×D59D411yescharacteristic
352C4⋊C4×D59D411yescharacteristic
353C4⋊C4×D59C2311yescharacteristic
354C4⋊C4×D59C2311yescharacteristic
355C4⋊C4×D59C2311yescharacteristic
356C4⋊C4×D59C2311yescharacteristic
357C2×C22⋊Dic59—21no—
358C2×C22⋊Dic59—21no—
359C2×(C2×D59)⋊C4—21no—
360C2×(C2×D59)⋊C4—21no—
361C2×(C2×D59)⋊C4—21no—
362C2×(C2×D59)⋊C4—21no—
363C22⋊C4×D59—21no—
364C22⋊C4×D59—21no—
365C22⋊C4×D59—21no—
366C22⋊C4×D59—21no—
367C22⋊C4×D59—21no—
368C22⋊C4×D59—21no—
369C22⋊C4×D59—21no—
370C22⋊C4×D59—21no—
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×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59D411yescharacteristic
382C22⋊C4×D59D411yescharacteristic
383C42×D59—21no—
384C42×D59—21no—
385C42×D59C2311yescharacteristic
386C42×D59C2311yescharacteristic
387#14273661C2311yescharacteristic, complemented
388#14273661C2311yescharacteristic, complemented
389#14273660C2311yescharacteristic, complemented
390#14273660C2311yescharacteristic, complemented
391#14273660C2311yescharacteristic, complemented
392#14273660C2311yescharacteristic, complemented
393#14273659C2311yescharacteristic, complemented
394#14273659C2311yescharacteristic, complemented
395#14273658C2311yescharacteristic, complemented
396#14273658C2311yescharacteristic, complemented
397#14273658C2311yescharacteristic, complemented
398#14273658C2311yescharacteristic, complemented
399C4⋊(C59⋊C8)C2311yescharacteristic, complemented
400C4⋊(C59⋊C8)C2311yescharacteristic, complemented
401Dic59⋊C8C2311yescharacteristic, complemented
402Dic59⋊C8C2311yescharacteristic, complemented
403Dic59⋊C8C2311yescharacteristic, complemented
404Dic59⋊C8C2311yescharacteristic, complemented
405#14273652C2311yescharacteristic, complemented
406#14273652C2311yescharacteristic, complemented
407#14273651C2311yescharacteristic, complemented
408#14273651C2311yescharacteristic, complemented
409#14273650C2311yescharacteristic, complemented
410#14273650C2311yescharacteristic, complemented
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic, complemented
416#14273649C2311yescharacteristic, complemented
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic, complemented
422#14273648C2311yescharacteristic, complemented
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic, complemented
428#14273647C2311yescharacteristic, complemented
429C22⋊(C59⋊C8)C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435#14273638C2311yescharacteristic, complemented
436#14273637C2311yescharacteristic, complemented
437#14273637C2311yescharacteristic, complemented
438C4×C59⋊C8C2311yescharacteristic, complemented
439C8×Dic59C2311yescharacteristic, complemented
440C8×Dic59C2311yescharacteristic, complemented
441C22×D4×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C4⋊Q8×C59C2311yescharacteristic, complemented
447#126×C59—21no—
448#124×C59—21no—
449#124×C59C2311yescharacteristic, complemented
450#123×C59—21no—
451C22⋊Q8×C59—21no—
452C22⋊Q8×C59C2311yescharacteristic
453#121×C59C2311yescharacteristic
454C4×Q8×C59C2311yescharacteristic, complemented
455C4×D4×C59—21no—
456C4×D4×C59—21no—
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic, complemented
462#117×C59C2311yescharacteristic
463#117×C59C2311yescharacteristic
464C2×C22⋊C4×C59—21no—
465C2×C22⋊C4×C59—21no—
466#107×C59C2311yescharacteristic, complemented
467#107×C59C2311yescharacteristic, complemented
468#106×C59C2311yescharacteristic, complemented
469#106×C59C2311yescharacteristic, complemented
470C4⋊C8×C59C2311yescharacteristic, complemented
471C4⋊C8×C59C2311yescharacteristic, complemented
472#103×C59C2311yescharacteristic, complemented
473#103×C59C2311yescharacteristic, complemented
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic, complemented
479#102×C59C2311yescharacteristic, complemented
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic, complemented
483C4×C8×C59C2311yescharacteristic, complemented
484C24×C59—21no—
485C23×D59—28no—
486C23×D59—21no—
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—82no—
493C23×D59—82no—
494C23×D59C2×D411yescharacteristic
495C2×Q8×C59—21no—
496C2×Q8×C59C2411yescharacteristic
497C2×D4×C59—22no—
498C2×D4×C59—22no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59C2411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59C2411yescharacteristic
510C2×C22⋊D59—28no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C22×Dic59—21no—
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59—21no—
523C22×Dic59C2×D411yescharacteristic
524Q8×D59—22no—
525Q8×D59—22no—
526Q8×D59—82no—
527D4×D59—28no—
528D4×D59—28no—
529D4×D59—22no—
530D4×D59—22no—
531D4×D59—22no—
532D4×D59—22no—
533D4×D59—22no—
534D4×D59—22no—
535D4×D59—22no—
536D4×D59—22no—
537D4×D59—82no—
538D4×D59#4114yes—
539D4×D59#4114yes—
540C2×D236—21no—
541C2×D236—22no—
542C2×D236—22no—
543C2×D236—21no—
544C2×D236C2411yescharacteristic
545C2×D236C2411yescharacteristic
546C2×D236C2411yescharacteristic
547C2×C4×D59—22no—
548C2×C4×D59—22no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—82no—
565C2×C4×D59—82no—
566C2×C4×D59—82no—
567C2×C4×D59—82no—
568C2×C4×D59—82no—
569C2×C4×D59C2×D411yescharacteristic
570C2×C4×D59C2×D411yescharacteristic
571C2×C4×D59C2×D411yescharacteristic
572C2×C4×D59C2×D411yescharacteristic
573C2×C4×D59C2×D411yescharacteristic
574C2×C4×D59C2×D411yescharacteristic
575C2×C4×D59C2411yescharacteristic
576C2×C4×D59C2411yescharacteristic
577C2×Dic118—21no—
578C2×Dic118—21no—
579C2×Dic118—21no—
580C2×Dic118—21no—
581C2×Dic118C2411yescharacteristic
582SD16×C59—22no—
583SD16×C59—22no—
584D8×C59—22no—
585D8×C59—22no—
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C2×C8×C59C2411yescharacteristic
589C2×C8×C59C2411yescharacteristic
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59—21no—
593C4⋊C4×C59C2×D411yescharacteristic
594C4⋊C4×C59C2×D411yescharacteristic
595C4⋊C4×C59C2411yescharacteristic
596C4⋊C4×C59C2411yescharacteristic
597C4⋊C4×C59C2411yescharacteristic
598C4⋊C4×C59C2411yescharacteristic
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59—21no—
608C22⋊C4×C59—21no—
609C22⋊C4×C59C2×D411yescharacteristic
610C22⋊C4×C59C2×D411yescharacteristic
611C42×C59—21no—
612C42×C59—21no—
613C42×C59C2411yescharacteristic
614C42×C59C2411yescharacteristic
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59C2×D411yescharacteristic
626C22⋊Dic59C2×D411yescharacteristic
627#11745671—22no—
628#11745671—22no—
629#11745670—22no—
630#11745670—22no—
631#11745669—22no—
632#11745669—22no—
633#11745669—22no—
634#11745669—22no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59C2×D411yescharacteristic
663C4⋊Dic59C2×D411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C4×Dic59C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698D472—22no—
699D472—22no—
700#11745660—22no—
701#11745660—22no—
702C8×D59—22no—
703C8×D59—22no—
704C8×D59—22no—
705C8×D59—22no—
706C23×C59—24no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—21no—
710C23×C59—81no—
711C23×C59—81no—
712C23×C59C22×D411yescharacteristic
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—24no—
716C22×D59—24no—
717C22×D59—24no—
718C22×D59—22no—
719C22×D59—24no—
720C22×D59—24no—
721C22×D59—22no—
722C22×D59—22no—
723C22×D59—21no—
724C22×D59—42no—
725C22×D59—42no—
726C22×D59—42no—
727C22×D59—42no—
728C22×D59—42no—
729C22×D59—42no—
730C22×D59—42no—
731C22×D59—81no—
732C22×D59—81no—
733C22×D59—81no—
734C22×D59—81no—
735C22×D59—816no—
736C22×D59—81no—
737C22×D59—81no—
738C22×D59C22×D411yescharacteristic
739C22×D59C22×D411yescharacteristic
740Q8×C59—21no—
741Q8×C59—21no—
742Q8×C59—81no—
743D4×C59—24no—
744D4×C59—21no—
745D4×C59—21no—
746D4×C59—21no—
747D4×C59—21no—
748D4×C59—81no—
749D4×C59C2×#4112yes—
750D4×C59C2×#4112yes—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—81no—
759C2×C4×C59—81no—
760C2×C4×C59—81no—
761C2×C4×C59—81no—
762C2×C4×C59—81no—
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C22×D411yescharacteristic
767C2×C4×C59C22×D411yescharacteristic
768C2×C4×C59C2511yescharacteristic
769C22⋊D59—24no—
770C22⋊D59—24no—
771C22⋊D59—24no—
772C22⋊D59—24no—
773C22⋊D59—42no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C2×Dic59—22no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—81no—
783C2×Dic59—81no—
784C2×Dic59—81no—
785C2×Dic59—81no—
786C2×Dic59—81no—
787C2×Dic59C22×D411yescharacteristic
788C2×Dic59C22×D411yescharacteristic
789C2×Dic59C22×D411yescharacteristic
790C2×Dic59C22×D411yescharacteristic
791C2×Dic59C22×D411yescharacteristic
792C2×Dic59C22×D411yescharacteristic
793D236—24no—
794D236—21no—
795D236—21no—
796D236—21no—
797D236—21no—
798D236—81no—
799D236C2×#4112yes—
800D236C2×#4112yes—
801C4×D59—22no—
802C4×D59—22no—
803C4×D59—22no—
804C4×D59—22no—
805C4×D59—22no—
806C4×D59—21no—
807C4×D59—21no—
808C4×D59—22no—
809C4×D59—42no—
810C4×D59—42no—
811C4×D59—42no—
812C4×D59—42no—
813C4×D59—42no—
814C4×D59—81no—
815C4×D59—81no—
816C4×D59—81no—
817C4×D59—81no—
818C4×D59—81no—
819C4×D59—81no—
820C4×D59—81no—
821C4×D59—81no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59C2×#4112yes—
825C4×D59C2×#4112yes—
826Dic118—21no—
827Dic118—21no—
828Dic118—42no—
829Dic118—81no—
830Dic118—81no—
831Dic118—81no—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840C2×#3118—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—22no—
843C22×C59—22no—
844C22×C59—21no—
845C22×C59—21no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—84no—
854C22×C59C23×D411yescharacteristic
855C2×D59—21no—
856C2×D59—22no—
857C2×D59—22no—
858C2×D59—21no—
859C2×D59—21no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—44no—
865C2×D59—48no—
866C2×D59—48no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—84no—
871C2×D59—84no—
872C2×D59—84no—
873C2×D59—84no—
874C2×D59#52512yes—
875C2×D59#57612yes—
876C2×D59#57712yes—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—21no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59—41no—
886C4×C59—41no—
887C4×C59C22×#4111yescharacteristic
888C4×C59C22×#4111yescharacteristic
889Dic59—21no—
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—21no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898Dic59—41no—
899Dic59#52512yes—
900C2×#542—591no—
901C2×#518—591no—
902#3118—591no—
903#3118—591no—
904#3118—591no—
905#3118—591no—
906#3118—591no—
907#3118—591no—
908#3118—591no—
909#3118—591no—
910#3118—591no—
911#3118—591no—
912#3118—591no—
913#3118—591no—
914#3118—591no—
915#3118—591no—
916#3118—591no—
917#3118D5911yescharacteristic, direct product factor
918C2×#485—591no—
919C2×#482—591no—
920C2×#476—591no—
921C2×#474—591no—
922C2×#463—591no—
923C2×#463—591no—
924C2×#450—591no—
925C2×#447—591no—
926C2×#442—591no—
927C2×#440—591no—
928C2×C4×SD16—591no—
929C2×C4×D8—591no—
930C2×#433—591no—
931C2×C59—41no—
932C2×C59—42no—
933C2×C59—42no—
934C2×C59—81no—
935C2×C59C2×#52511yescharacteristic
936C2×C59C2×#57611yescharacteristic
937C2×C59C2×#57711yescharacteristic
938D59—41no—
939D59—42no—
940D59—42no—
941D59—81no—
942D59#311814yesdirect product factor
943C23×D4—591no—
944C22×SD16—591no—
945C22×SD16—591no—
946C22×D8—591no—
947C22×D8—591no—
948#542—591no—
949#542—591no—
950#542—591no—
951#542—591no—
952#542—591no—
953#542—591no—
954#542—591no—
955#542—1181no—
956#542—1181no—
957#542—1181no—
958#542—1181no—
959#542C2×D5911yescharacteristic, complemented
960C2×C4⋊Q8—591no—
961C2×#126—1181no—
962C2×#124—591no—
963C2×#124—1181no—
964C2×#123—1181no—
965C2×C22⋊Q8—591no—
966C2×C22⋊Q8—1181no—
967C2×#121—591no—
968#518—591no—
969#518—591no—
970#518—591no—
971#518—591no—
972#518—591no—
973#518—591no—
974#518—591no—
975#518—1181no—
976#518—1181no—
977#518—1181no—
978#518—1181no—
979#518C2×D5911yescharacteristic, complemented
980C2×C4×Q8—591no—
981C2×C4×D4—591no—
982C2×C4×D4—591no—
983C2×C4×D4—591no—
984C2×C4×D4—591no—
985C2×C4×D4—591no—
986C2×C4×D4—1181no—
987C2×C4×D4—1181no—
988C2×#117—591no—
989C2×#117—591no—
990C22×C22⋊C4—1181no—
991C22×C22⋊C4—1181no—
992#485—591no—
993#485—591no—
994#485—591no—
995#485—591no—
996#485—591no—
997#485—591no—
998#485—591no—
999#485C2×D5911yescharacteristic, complemented
1000#482—591no—
1001#482—591no—
1002#482—591no—
1003#482—591no—
1004#482—591no—
1005#482—591no—
1006#482—591no—
1007#482C2×D5911yescharacteristic, complemented
1008#476—591no—
1009#476—591no—
1010#476—591no—
1011#476—591no—
1012#476—591no—
1013#476—591no—
1014#476—591no—
1015#476C2×D5911yescharacteristic, complemented
1016#474—591no—
1017#474—591no—
1018#474—591no—
1019#474—591no—
1020#474—591no—
1021#474—591no—
1022#474—591no—
1023#474C2×D5911yescharacteristic, complemented
1024#463—591no—
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#463—591no—
1030#463—591no—
1031#463—591no—
1032#463—591no—
1033#463—591no—
1034#463—591no—
1035#463—591no—
1036#463—591no—
1037#463—591no—
1038#463C2×D5911yescharacteristic, complemented
1039#463C2×D5911yescharacteristic, complemented
1040#450—591no—
1041#450—591no—
1042#450—591no—
1043#450—591no—
1044#450—591no—
1045#450—591no—
1046#450—591no—
1047#450C2×D5911yescharacteristic, complemented
1048#447—591no—
1049#447—591no—
1050#447—591no—
1051#447—591no—
1052#447—591no—
1053#447—591no—
1054#447—591no—
1055#447C2×D5911yescharacteristic
1056#442—591no—
1057#442—591no—
1058#442—591no—
1059#442—591no—
1060#442—591no—
1061#442—591no—
1062#442—591no—
1063#442C2×D5911yescharacteristic, complemented
1064#440—591no—
1065#440—591no—
1066#440—591no—
1067#440—591no—
1068#440—591no—
1069#440—591no—
1070#440—591no—
1071#440C2×D5911yescharacteristic, complemented
1072C4×SD16—591no—
1073C4×SD16—591no—
1074C4×SD16—591no—
1075C4×SD16—591no—
1076C4×SD16—591no—
1077C4×SD16—591no—
1078C4×SD16—591no—
1079C4×SD16C2×D5911yescharacteristic, complemented
1080C4×D8—591no—
1081C4×D8—591no—
1082C4×D8—591no—
1083C4×D8—591no—
1084C4×D8—591no—
1085C4×D8—591no—
1086C4×D8—591no—
1087C4×D8C2×D5911yescharacteristic, complemented
1088#433—591no—
1089#433—591no—
1090#433—591no—
1091#433—591no—
1092#433—591no—
1093#433—591no—
1094#433—591no—
1095#433C2×D5911yescharacteristic, complemented
1096C2×#107—591no—
1097C2×#107—591no—
1098C2×#106—591no—
1099C2×#106—591no—
1100C2×C4⋊C8—591no—
1101C2×C4⋊C8—591no—
1102C2×#103—591no—
1103C2×#103—591no—
1104C2×#102—591no—
1105C2×#102—591no—
1106C2×#102—591no—
1107C2×#102—591no—
1108C2×#102—591no—
1109C2×#102—591no—
1110C2×C22⋊C8—591no—
1111C2×C22⋊C8—591no—
1112C2×#97—591no—
1113C2×C4×C8—591no—
1114C59C2×#311811yescharacteristic, complemented, Sylow
1115C25—1181no—
1116C22×Q8—591no—
1117C22×Q8—1181no—
1118C22×D4—591no—
1119C22×D4—591no—
1120C22×D4—591no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—1181no—
1125C22×D4—1181no—
1126C22×D4—1181no—
1127C22×D4—1184no—
1128C22×D4—1184no—
1129C22×D4—1181no—
1130C22×D4C22×D5911yescharacteristic
1131C23×C4—591no—
1132C23×C4—1181no—
1133C23×C4—1181no—
1134C23×C4—1181no—
1135C23×C4—1181no—
1136C23×C4—1181no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—1184no—
1144C2×SD16—1184no—
1145C2×SD16C22×D5911yescharacteristic
1146C2×SD16C22×D5911yescharacteristic
1147C2×D8—591no—
1148C2×D8—591no—
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—1184no—
1154C2×D8—1184no—
1155C2×D8C22×D5911yescharacteristic
1156C2×D8C22×D5911yescharacteristic
1157C22×C8—591no—
1158C22×C8—591no—
1159C22×C8—591no—
1160C22×C8—591no—
1161C4⋊Q8—591no—
1162C4⋊Q8—591no—
1163C4⋊Q8—591no—
1164C4⋊Q8—1181no—
1165C4⋊Q8—1181no—
1166C4⋊Q8C22×D5911yescharacteristic, complemented
1167#126—21no—
1168#126—1181no—
1169#126—1181no—
1170#126—1181no—
1171#126—1181no—
1172#126—1181no—
1173#126—1181no—
1174#126—1181no—
1175#124—21no—
1176#124—591no—
1177#124—591no—
1178#124—591no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#124—1181no—
1185#124—1181no—
1186#124—1181no—
1187#124—1181no—
1188#124C22×D5911yescharacteristic, complemented
1189#123—21no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197C22⋊Q8—21no—
1198C22⋊Q8—591no—
1199C22⋊Q8—591no—
1200C22⋊Q8—591no—
1201C22⋊Q8—1181no—
1202C22⋊Q8—1181no—
1203C22⋊Q8—1181no—
1204C22⋊Q8—1181no—
1205C22⋊Q8—1181no—
1206C22⋊Q8—1181no—
1207C22⋊Q8—1181no—
1208C22⋊Q8—1181no—
1209C22⋊Q8—1181no—
1210C22⋊Q8C22×D5911yescharacteristic
1211#121—591no—
1212#121—591no—
1213#121—591no—
1214#121—1181no—
1215#121—1181no—
1216#121C22×D5911yescharacteristic
1217C4×Q8—591no—
1218C4×Q8—591no—
1219C4×Q8—591no—
1220C4×Q8—1181no—
1221C4×Q8—1181no—
1222C4×Q8C22×D5911yescharacteristic, complemented
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4—591no—
1226C4×D4—591no—
1227C4×D4—591no—
1228C4×D4—591no—
1229C4×D4—591no—
1230C4×D4—591no—
1231C4×D4—591no—
1232C4×D4—591no—
1233C4×D4—591no—
1234C4×D4—591no—
1235C4×D4—591no—
1236C4×D4—591no—
1237C4×D4—591no—
1238C4×D4—591no—
1239C4×D4—591no—
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×D4—1181no—
1250C4×D4—1181no—
1251C4×D4—1181no—
1252C4×D4—1181no—
1253C4×D4—1181no—
1254C4×D4—1181no—
1255C4×D4—1181no—
1256C4×D4—1181no—
1257C4×D4—1181no—
1258C4×D4—1181no—
1259C4×D4—1181no—
1260C4×D4—1181no—
1261C4×D4—1181no—
1262C4×D4—1181no—
1263C4×D4—1181no—
1264C4×D4C22×D5911yescharacteristic
1265C4×D4C22×D5911yescharacteristic
1266C4×D4C22×D5911yescharacteristic
1267C4×D4C22×D5911yescharacteristic
1268C4×D4C22×D5911yescharacteristic, complemented
1269#117—591no—
1270#117—591no—
1271#117—591no—
1272#117—591no—
1273#117—591no—
1274#117—591no—
1275#117—591no—
1276#117—591no—
1277#117—591no—
1278#117—591no—
1279#117—1181no—
1280#117—1181no—
1281#117C22×D5911yescharacteristic
1282#117C22×D5911yescharacteristic
1283C2×C4⋊C4—591no—
1284C2×C4⋊C4—591no—
1285C2×C4⋊C4—591no—
1286C2×C4⋊C4—591no—
1287C2×C4⋊C4—591no—
1288C2×C4⋊C4—591no—
1289C2×C4⋊C4—1181no—
1290C2×C4⋊C4—1181no—
1291C2×C4⋊C4—1181no—
1292C2×C22⋊C4—21no—
1293C2×C22⋊C4—21no—
1294C2×C22⋊C4—591no—
1295C2×C22⋊C4—591no—
1296C2×C22⋊C4—1181no—
1297C2×C22⋊C4—1181no—
1298C2×C22⋊C4—1181no—
1299C2×C22⋊C4—1181no—
1300C2×C22⋊C4—1181no—
1301C2×C22⋊C4—1181no—
1302C2×C22⋊C4—1181no—
1303C2×C22⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C22⋊C4—1181no—
1306C2×C22⋊C4—1181no—
1307C2×C22⋊C4—1181no—
1308C2×C22⋊C4—1181no—
1309C2×C22⋊C4—1181no—
1310C2×C22⋊C4—1181no—
1311C2×C22⋊C4—1181no—
1312C2×C22⋊C4—1181no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C22⋊C4—1181no—
1316C2×C22⋊C4—1181no—
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C42—591no—
1321C2×C42—591no—
1322C2×C42—1181no—
1323C2×C42—1181no—
1324#107—591no—
1325#107—591no—
1326#107—591no—
1327#107—591no—
1328#107—591no—
1329#107—591no—
1330#107C22×D5911yescharacteristic, complemented
1331#107C22×D5911yescharacteristic, complemented
1332#106—591no—
1333#106—591no—
1334#106—591no—
1335#106—591no—
1336#106—591no—
1337#106—591no—
1338#106C22×D5911yescharacteristic, complemented
1339#106C22×D5911yescharacteristic, complemented
1340C4⋊C8—591no—
1341C4⋊C8—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8C22×D5911yescharacteristic, complemented
1347C4⋊C8C22×D5911yescharacteristic, complemented
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103C22×D5911yescharacteristic, complemented
1355#103C22×D5911yescharacteristic, complemented
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102C22×D5911yescharacteristic
1375#102C22×D5911yescharacteristic
1376#102C22×D5911yescharacteristic
1377#102C22×D5911yescharacteristic
1378#102C22×D5911yescharacteristic, complemented
1379#102C22×D5911yescharacteristic, complemented
1380C22⋊C8—591no—
1381C22⋊C8—591no—
1382C22⋊C8—591no—
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8C22×D5911yescharacteristic
1387C22⋊C8C22×D5911yescharacteristic
1388#97—591no—
1389#97—591no—
1390#97—591no—
1391#97C22×D5911yescharacteristic, complemented
1392C4×C8—591no—
1393C4×C8—591no—
1394C4×C8—591no—
1395C4×C8C22×D5911yescharacteristic, complemented
1396C24—21no—
1397C24—591no—
1398C24—1181no—
1399C24—1181no—
1400C24—1181no—
1401C24—1181no—
1402C24—1181no—
1403C24—1188no—
1404C24—1181no—
1405C24—4722no—
1406C24—4722no—
1407C2×Q8—21no—
1408C2×Q8—591no—
1409C2×Q8—1181no—
1410C2×Q8—1181no—
1411C2×Q8—1181no—
1412C2×Q8—1182no—
1413C2×Q8—1182no—
1414C2×Q8—1181no—
1415C2×Q8—4722no—
1416C2×Q8C23×D5911yescharacteristic
1417C2×D4—22no—
1418C2×D4—22no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—594no—
1422C2×D4—594no—
1423C2×D4—591no—
1424C2×D4—591no—
1425C2×D4—591no—
1426C2×D4—1182no—
1427C2×D4—1182no—
1428C2×D4—1181no—
1429C2×D4—1182no—
1430C2×D4—1182no—
1431C2×D4—1182no—
1432C2×D4—1182no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1182no—
1439C2×D4—1182no—
1440C2×D4—1188no—
1441C2×D4—1188no—
1442C2×D4—1188no—
1443C2×D4—1182no—
1444C2×D4—1182no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—4722no—
1449C2×D4C23×D5911yescharacteristic
1450C2×D4C23×D5911yescharacteristic
1451C2×D4C23×D5911yescharacteristic
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—591no—
1458C22×C4—591no—
1459C22×C4—591no—
1460C22×C4—591no—
1461C22×C4—591no—
1462C22×C4—591no—
1463C22×C4—591no—
1464C22×C4—591no—
1465C22×C4—591no—
1466C22×C4—1182no—
1467C22×C4—1182no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—1181no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4—4722no—
1489C22×C4—4722no—
1490C22×C4—4722no—
1491C22×C4—4722no—
1492C22×C4—4722no—
1493C22×C4C23×D5911yescharacteristic
1494SD16—22no—
1495SD16—22no—
1496SD16—1182no—
1497SD16—1182no—
1498SD16—1182no—
1499SD16—1182no—
1500SD16—1182no—
1501SD16—1182no—
1502D8—22no—
1503D8—22no—
1504D8—1182no—
1505D8—1182no—
1506D8—1182no—
1507D8—1182no—
1508D8—1182no—
1509D8—1182no—
1510C2×C8—591no—
1511C2×C8—591no—
1512C2×C8—591no—
1513C2×C8—591no—
1514C2×C8—1182no—
1515C2×C8—1182no—
1516C2×C8—1182no—
1517C2×C8—1182no—
1518C2×C8C23×D5911yescharacteristic
1519C2×C8C23×D5911yescharacteristic
1520C2×C8C23×D5911yescharacteristic
1521C2×C8C23×D5911yescharacteristic
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4—21no—
1525C4⋊C4—591no—
1526C4⋊C4—591no—
1527C4⋊C4—591no—
1528C4⋊C4—591no—
1529C4⋊C4—591no—
1530C4⋊C4—591no—
1531C4⋊C4—591no—
1532C4⋊C4—591no—
1533C4⋊C4—591no—
1534C4⋊C4—591no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4D4×D5911yescharacteristic
1549C4⋊C4D4×D5911yescharacteristic
1550C4⋊C4C23×D5911yescharacteristic
1551C4⋊C4C23×D5911yescharacteristic
1552C4⋊C4C23×D5911yescharacteristic
1553C4⋊C4C23×D5911yescharacteristic
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—591no—
1565C22⋊C4—591no—
1566C22⋊C4—591no—
1567C22⋊C4—591no—
1568C22⋊C4—591no—
1569C22⋊C4—591no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4D4×D5911yescharacteristic
1601C22⋊C4D4×D5911yescharacteristic
1602C42—21no—
1603C42—21no—
1604C42—591no—
1605C42—591no—
1606C42—591no—
1607C42—591no—
1608C42—591no—
1609C42—591no—
1610C42—1181no—
1611C42—1181no—
1612C42—1181no—
1613C42—1181no—
1614C42—1181no—
1615C42—1181no—
1616C42C23×D5911yescharacteristic
1617C42C23×D5911yescharacteristic
1618C23—24no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—81no—
1623C23—81no—
1624C23—591no—
1625C23—591no—
1626C23—1182no—
1627C23—1184no—
1628C23—1184no—
1629C23—1182no—
1630C23—1182no—
1631C23—1184no—
1632C23—1184no—
1633C23—1184no—
1634C23—1181no—
1635C23—1181no—
1636C23—1181no—
1637C23—4721no—
1638C23—4721no—
1639C23—4721no—
1640C23—4721no—
1641C23—4721no—
1642C23—4721no—
1643C23—47216no—
1644C23—2362no—
1645C23—2362no—
1646C23—2362no—
1647C23—2362no—
1648C23—2362no—
1649C23—2362no—
1650C23—2362no—
1651C23C2×D4×D5911yescharacteristic
1652Q8—21no—
1653Q8—21no—
1654Q8—81no—
1655Q8—1181no—
1656Q8—1181no—
1657Q8—4721no—
1658Q8—4721no—
1659Q8—4721no—
1660Q8—2362no—
1661D4—24no—
1662D4—21no—
1663D4—21no—
1664D4—21no—
1665D4—21no—
1666D4—81no—
1667D4—592no—
1668D4—592no—
1669D4—1184no—
1670D4—1184no—
1671D4—1184no—
1672D4—1184no—
1673D4—1184no—
1674D4—1181no—
1675D4—1181no—
1676D4—1181no—
1677D4—1181no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—2362no—
1682D4#41×D5912yes—
1683D4#41×D5912yes—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4—81no—
1695C2×C4—81no—
1696C2×C4—591no—
1697C2×C4—592no—
1698C2×C4—592no—
1699C2×C4—591no—
1700C2×C4—591no—
1701C2×C4—591no—
1702C2×C4—591no—
1703C2×C4—591no—
1704C2×C4—1182no—
1705C2×C4—1182no—
1706C2×C4—1182no—
1707C2×C4—1182no—
1708C2×C4—1182no—
1709C2×C4—1182no—
1710C2×C4—1182no—
1711C2×C4—1181no—
1712C2×C4—1181no—
1713C2×C4—1181no—
1714C2×C4—1181no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—4721no—
1719C2×C4—4721no—
1720C2×C4—4721no—
1721C2×C4—4721no—
1722C2×C4—4721no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—4721no—
1732C2×C4—4721no—
1733C2×C4—2362no—
1734C2×C4—2362no—
1735C2×C4—2362no—
1736C2×C4—2362no—
1737C2×C4—2362no—
1738C2×C4C2×D4×D5911yescharacteristic
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C2×D4×D5911yescharacteristic
1742C2×C4C2×D4×D5911yescharacteristic
1743C2×C4C24×D5911yescharacteristic
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—21no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C8—1181no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—22no—
1756C22—22no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—84no—
1765C22—592no—
1766C22—592no—
1767C22—592no—
1768C22—1181no—
1769C22—1181no—
1770C22—1181no—
1771C22—1182no—
1772C22—1182no—
1773C22—4724no—
1774C22—4724no—
1775C22—4724no—
1776C22—4724no—
1777C22—2364no—
1778C22—2368no—
1779C22—2368no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22—2361no—
1786C22—2361no—
1787C22C22×D4×D5911yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—592no—
1799C4—1181no—
1800C4—1181no—
1801C4—1181no—
1802C4—1181no—
1803C4—1181no—
1804C4—2361no—
1805C4—2361no—
1806C4—2361no—
1807C4—2361no—
1808C4—2361no—
1809C4C2×#41×D5911yescharacteristic
1810C4C2×#41×D5911yescharacteristic
1811C2—41no—
1812C2—42no—
1813C2—42no—
1814C2—81no—
1815C2—594no—
1816C2—4721no—
1817C2—2361no—
1818C2—2362no—
1819C2—2362no—
1820C2#525×D5911yescharacteristic
1821C2#576×D5911yescharacteristic
1822C2#577×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3118C2
socleC22×C59C23×D4
prime radical#447×D59C2
hypercenter#3118D59
hypocenterC59C2×#3118
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #542×D59C2semidirect
2. #518×D59C2semidirect
3. #21434287C2semidirect
4. #21434286C2semidirect
5. #21434285C2semidirect
6. #21434284C2semidirect
7. #21434283C2semidirect
8. #21434282C2semidirect
9. #21434281C2semidirect
10. #21434280C2semidirect
11. #21434279C2semidirect
12. #21434278C2semidirect
13. #21434277C2semidirect
14. #21434276C2semidirect
15. #21434275C2semidirect
16. #21434274C2semidirect
17. #21434273C2semidirect
18. #485×D59C2semidirect
19. #482×D59C2semidirect
20. #476×D59C2semidirect
21. #474×D59C2semidirect
22. #463×D59C2semidirect
23. #463×D59C2semidirect
24. #450×D59C2semidirect
26. #442×D59C2semidirect
27. #440×D59C2semidirect
28. C4×SD16×D59C2semidirect
29. C4×D8×D59C2semidirect
30. #433×D59C2semidirect
31. C59×#3118C2semidirect
37. #16838026C22semidirect
38. #16838025C22semidirect
39. #16838024C22semidirect
40. #16838023C22semidirect
42. #16838021C22semidirect
44. #16838019C22semidirect
46. #16838017C22semidirect
48. C4⋊Q8×D59C22semidirect
51. #124×D59C22semidirect
56. #16837877C22semidirect
57. #16837876C22semidirect
58. #16837876C22semidirect
63. #16837874C22semidirect
64. #16837874C22semidirect
65. #16837874C22semidirect
66. #16837874C22semidirect
67. C4×Q8×D59C22semidirect
74. C4×D4×D59C22semidirect
79. #16837746C22semidirect
80. #16837745C22semidirect
81. #16837744C22semidirect
82. #16837743C22semidirect
83. #16837742C22semidirect
84. #16837741C22semidirect
85. #16837740C22semidirect
86. #16837729C22semidirect
87. #16837728C22semidirect
88. #16837727C22semidirect
89. #16837726C22semidirect
90. #16837725C22semidirect
91. #16837724C22semidirect
92. #16837723C22semidirect
93. #16837693C22semidirect
94. #16837692C22semidirect
95. #16837691C22semidirect
96. #16837691C22semidirect
97. #16837690C22semidirect
98. #16837690C22semidirect
99. #16837689C22semidirect
100. #16837683C22semidirect
101. #16837682C22semidirect
102. #16837681C22semidirect
103. #16837681C22semidirect
104. #16837680C22semidirect
105. #16837680C22semidirect
106. #16837679C22semidirect
107. #16837620C22semidirect
108. #16837620C22semidirect
109. #16837619C22semidirect
110. #16837619C22semidirect
111. #16837618C22semidirect
112. #16837618C22semidirect
113. #16837617C22semidirect
114. #16837617C22semidirect
115. #16837616C22semidirect
116. #16837616C22semidirect
117. #16837615C22semidirect
118. #16837615C22semidirect
119. #16837614C22semidirect
120. #16837614C22semidirect
121. #16837555C22semidirect
122. #16837554C22semidirect
123. #16837554C22semidirect
124. #16837553C22semidirect
125. #16837552C22semidirect
126. #16837551C22semidirect
127. #16837551C22semidirect
135. #16837515C22semidirect
136. #16837514C22semidirect
137. #16837513C22semidirect
138. #16837512C22semidirect
139. #16837512C22semidirect
140. #16837511C22semidirect
141. #16837511C22semidirect
142. #16837505C22semidirect
143. #16837504C22semidirect
144. #16837503C22semidirect
145. #16837502C22semidirect
146. #16837501C22semidirect
147. #16837500C22semidirect
148. #16837499C22semidirect
149. #16837493C22semidirect
150. C4×#11745660C22semidirect
151. SD16×Dic59C22semidirect
152. C4×#11745671C22semidirect
153. #16837489C22semidirect
154. C4×#11745670C22semidirect
155. #16837487C22semidirect
156. C4×D472C22semidirect
157. D8×Dic59C22semidirect
158. #16837484C22semidirect
159. C4×#11745669C22semidirect
160. C4×#11745669C22semidirect
161. #16837482C22semidirect
162. #16837482C22semidirect
163. #16837464C22semidirect
164. #16837463C22semidirect
165. #16837462C22semidirect
166. #16837462C22semidirect
167. #16837461C22semidirect
168. #16837460C22semidirect
169. #16837460C22semidirect
170. #107×D59C22semidirect
171. #107×D59C22semidirect
172. #106×D59C22semidirect
173. #106×D59C22semidirect
174. C4⋊C8×D59C22semidirect
175. C4⋊C8×D59C22semidirect
176. #103×D59C22semidirect
177. #103×D59C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
186. #97×D59C22semidirect
187. C4×C8×D59C22semidirect
188. C59×#542C22semidirect
189. C59×#518C22semidirect
190. C59×#485C22semidirect
191. C59×#482C22semidirect
192. C59×#476C22semidirect
193. C59×#474C22semidirect
194. C59×#463C22semidirect
195. C59×#463C22semidirect
196. C59×#450C22semidirect
198. C59×#442C22semidirect
199. C59×#440C22semidirect
200. C4×SD16×C59C22semidirect
201. C4×D8×C59C22semidirect
202. C59×#433C22semidirect
244. #14273727C23semidirect
246. #14273726C23semidirect
247. #14273726C23semidirect
257. #14273716C23semidirect
259. #14273715C23semidirect
261. #14273714C23semidirect
292. Q8×Dic59C23semidirect
294. C4×Dic118C23semidirect
296. #14273692C23semidirect
303. C4×D236C23semidirect
310. D4×Dic59C23semidirect
317. #14273689C23semidirect
387. #14273661C23semidirect
388. #14273661C23semidirect
389. #14273660C23semidirect
390. #14273660C23semidirect
391. #14273660C23semidirect
392. #14273660C23semidirect
393. #14273659C23semidirect
394. #14273659C23semidirect
395. #14273658C23semidirect
396. #14273658C23semidirect
397. #14273658C23semidirect
398. #14273658C23semidirect
399. C4⋊(C59⋊C8)C23semidirect
400. C4⋊(C59⋊C8)C23semidirect
401. Dic59⋊C8C23semidirect
402. Dic59⋊C8C23semidirect
403. Dic59⋊C8C23semidirect
404. Dic59⋊C8C23semidirect
405. #14273652C23semidirect
406. #14273652C23semidirect
407. #14273651C23semidirect
408. #14273651C23semidirect
409. #14273650C23semidirect
410. #14273650C23semidirect
415. #14273649C23semidirect
416. #14273649C23semidirect
421. #14273648C23semidirect
422. #14273648C23semidirect
427. #14273647C23semidirect
428. #14273647C23semidirect
435. #14273638C23semidirect
436. #14273637C23semidirect
437. #14273637C23semidirect
438. C4×C59⋊C8C23semidirect
439. C8×Dic59C23semidirect
440. C8×Dic59C23semidirect
446. C4⋊Q8×C59C23semidirect
449. #124×C59C23semidirect
454. C4×Q8×C59C23semidirect
461. C4×D4×C59C23semidirect
466. #107×C59C23semidirect
467. #107×C59C23semidirect
468. #106×C59C23semidirect
469. #106×C59C23semidirect
470. C4⋊C8×C59C23semidirect
471. C4⋊C8×C59C23semidirect
472. #103×C59C23semidirect
473. #103×C59C23semidirect
478. #102×C59C23semidirect
479. #102×C59C23semidirect
482. #97×C59C23semidirect
483. C4×C8×C59C23semidirect
917. #3118D59direct (N × H)
942. D59#3118direct (N × H)
959. #542C2×D59semidirect
979. #518C2×D59semidirect
999. #485C2×D59semidirect
1007. #482C2×D59semidirect
1015. #476C2×D59semidirect
1023. #474C2×D59semidirect
1038. #463C2×D59semidirect
1039. #463C2×D59semidirect
1047. #450C2×D59semidirect
1063. #442C2×D59semidirect
1071. #440C2×D59semidirect
1079. C4×SD16C2×D59semidirect
1087. C4×D8C2×D59semidirect
1095. #433C2×D59semidirect
1114. C59C2×#3118semidirect
1166. C4⋊Q8C22×D59semidirect
1188. #124C22×D59semidirect
1222. C4×Q8C22×D59semidirect
1268. C4×D4C22×D59semidirect
1330. #107C22×D59semidirect
1331. #107C22×D59semidirect
1338. #106C22×D59semidirect
1339. #106C22×D59semidirect
1346. C4⋊C8C22×D59semidirect
1347. C4⋊C8C22×D59semidirect
1354. #103C22×D59semidirect
1355. #103C22×D59semidirect
1378. #102C22×D59semidirect
1379. #102C22×D59semidirect
1391. #97C22×D59semidirect
1395. C4×C8C22×D59semidirect

Maximal subgroups

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

subgroupindex
#542×D592
#518×D592
#214342872
#214342862
#214342852
#214342842
#214342832
#214342822
#214342812
#214342802
#214342792
#214342782
#214342772
#214342762
#214342752
#214342742
#214342732
#485×D592
#482×D592
#476×D592
#474×D592
#463×D592
#450×D592
#447×D592
#442×D592
#440×D592
C4×SD16×D592
C4×D8×D592
#433×D592
C59×#31182
C2×#311859