Finite Group Databasebeta

← #29474813

Subgroups — #29474813

Order 15104.

2146 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438332C211yesmaximal, characteristic, complemented
2#21437742C211yesmaximal, characteristic, complemented
3#21436270C211yesmaximal, characteristic, complemented
4#21436264C211yesmaximal, characteristic, complemented
5#21436263C211yesmaximal, characteristic, complemented
6#21436261C211yesmaximal, characteristic, complemented
7#21435999C211yesmaximal, characteristic, complemented
8#21435997C211yesmaximal, characteristic, complemented
9#21435996C211yesmaximal, characteristic, complemented
10D4×#11745660C211yesmaximal, characteristic, complemented
11SD16×D236C211yesmaximal, characteristic, complemented
12#21435789C211yesmaximal, characteristic, complemented
13#21435785C211yesmaximal, characteristic, complemented
14#21435597C211yesmaximal, characteristic, complemented
15#21435594C211yesmaximal, characteristic, complemented
16#21435592C211yesmaximal, characteristic, complemented
17#21435588C211yesmaximal, characteristic, complemented
18#21435160C211yesmaximal, characteristic, complemented
19#21435154C211yesmaximal, characteristic, complemented
20#21434967C211yesmaximal, characteristic, complemented
21#21434962C211yesmaximal, characteristic, complemented
22#21434860C211yesmaximal, characteristic, complemented
23#21434856C211yesmaximal, characteristic, complemented
24#21434389C211yesmaximal, characteristic, complemented
25#21434384C211yesmaximal, characteristic, complemented
26#21433385C211yesmaximal, characteristic, complemented
27#21433379C211yesmaximal, characteristic, complemented
28C2×#16837542C211yesmaximal, characteristic, complemented
29#448×D59C211yesmaximal, characteristic, complemented
30#21433149C211yesmaximal, characteristic, complemented
31C59×#3301C211yesmaximal, characteristic, complemented
32C2×#14273774C2211yescharacteristic, complemented
33C22×Q8×D59C2211yescharacteristic, complemented
34C2×#14273752C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C22×#11745660C2211yescharacteristic, complemented
37C22×#11745660C2211yescharacteristic, complemented
38C22×#11745671C2211yescharacteristic, complemented
39C2×SD16×D59C2211yescharacteristic, complemented
40C2×SD16×D59C2211yescharacteristic, complemented
41C2×SD16×D59C2211yescharacteristic, complemented
42#16838143—21no—
43#16838142—21no—
44#16838105C2211yescharacteristic
45#16838100C2211yescharacteristic
46#16838096C2211yescharacteristic
47Q8×D236C2211yescharacteristic, complemented
48D4×Dic118—21no—
49D4×Dic118C2211yescharacteristic, complemented
50Q8×C22⋊D59C2211yescharacteristic, complemented
51#16838065—21no—
52#16838065C2211yescharacteristic, complemented
53#16838060—21no—
54#16838060C2211yescharacteristic, complemented
55#16838059C2211yescharacteristic, complemented
56#16838058—21no—
57#16838058C2211yescharacteristic, complemented
58D4×D236—21no—
59D4×D236C2211yescharacteristic
60D4×D236C2211yescharacteristic
61#16838036—21no—
62#16838036C2211yescharacteristic
63#16838036C2211yescharacteristic
64#16838008C2211yescharacteristic
65#16838003C2211yescharacteristic
66#16837991—21no—
67#16837985—21no—
68#16837975—21no—
69#16837975C2211yescharacteristic, complemented
70#16837972—21no—
71#16837972C2211yescharacteristic, complemented
72#16837971C2211yescharacteristic
73#16837968C2211yescharacteristic
74#16837963—21no—
75#16837960—21no—
76#16837912—21no—
77#16837912C2211yescharacteristic, complemented
78#16837911—21no—
79#16837911C2211yescharacteristic
80C2×#14273702C2211yescharacteristic
81#121×D59C2211yescharacteristic
82#16837878C2211yescharacteristic, complemented
83#16837792C2211yescharacteristic, complemented
84#16837790C2211yescharacteristic, complemented
85#16837775C2211yescharacteristic, complemented
86#16837773C2211yescharacteristic, complemented
87#16837772C2211yescharacteristic, complemented
88#16837769C2211yescharacteristic, complemented
89#16837755C2211yescharacteristic, complemented
90#16837746C2211yescharacteristic, complemented
91#16837743C2211yescharacteristic, complemented
92#16837741C2211yescharacteristic, complemented
93#16837739C2211yescharacteristic, complemented
94#16837737C2211yescharacteristic, complemented
95#16837729C2211yescharacteristic, complemented
96#16837728C2211yescharacteristic, complemented
97#16837728C2211yescharacteristic, complemented
98#16837725C2211yescharacteristic, complemented
99#16837719C2211yescharacteristic, complemented
100#16837712C2211yescharacteristic, complemented
101#16837707C2211yescharacteristic, complemented
102#16837706C2211yescharacteristic, complemented
103#16837651C2211yescharacteristic, complemented
104#16837650C2211yescharacteristic, complemented
105#16837649C2211yescharacteristic, complemented
106#16837646C2211yescharacteristic, complemented
107#16837637C2211yescharacteristic, complemented
108#16837637C2211yescharacteristic, complemented
109#16837636C2211yescharacteristic, complemented
110#16837634C2211yescharacteristic, complemented
111#16837632C2211yescharacteristic, complemented
112#16837632C2211yescharacteristic, complemented
113#16837632C2211yescharacteristic, complemented
114#16837631C2211yescharacteristic, complemented
115#16837631C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837616C2211yescharacteristic, complemented
118#16837616C2211yescharacteristic, complemented
119#16837614C2211yescharacteristic, complemented
120#16837608C2211yescharacteristic, complemented
121#16837607C2211yescharacteristic, complemented
122#16837606C2211yescharacteristic, complemented
123#16837606C2211yescharacteristic, complemented
124#16837603C2211yescharacteristic, complemented
125#16837602C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837600C2211yescharacteristic, complemented
128#16837555C2211yescharacteristic, complemented
129#16837555C2211yescharacteristic, complemented
130#16837554C2211yescharacteristic, complemented
131#16837554C2211yescharacteristic, complemented
132#16837552C2211yescharacteristic, complemented
133#16837551C2211yescharacteristic, complemented
134#16837548C2211yescharacteristic, complemented
135#16837548C2211yescharacteristic, complemented
136#16837548C2211yescharacteristic, complemented
137#16837548C2211yescharacteristic, complemented
138#16837548C2211yescharacteristic, complemented
139#16837547C2211yescharacteristic, complemented
140#16837544C2211yescharacteristic, complemented
141#16837543C2211yescharacteristic, complemented
142#16837543C2211yescharacteristic, complemented
143#16837542C2211yescharacteristic, complemented
144#16837542C2211yescharacteristic, complemented
145#16837542C2211yescharacteristic, complemented
146#16837542C2211yescharacteristic, complemented
147#16837542C2211yescharacteristic, complemented
148#16837542C2211yescharacteristic, complemented
149#16837542C2211yescharacteristic, complemented
150#16837542C2211yescharacteristic, complemented
151#16837542C2211yescharacteristic, complemented
152#16837542C2211yescharacteristic, complemented
153#16837542C2211yescharacteristic, complemented
154#16837542C2211yescharacteristic, complemented
155#16837541C2211yescharacteristic, complemented
156#16837540C2211yescharacteristic, complemented
157#16837540C2211yescharacteristic, complemented
158#16837539C2211yescharacteristic, complemented
159#16837539C2211yescharacteristic, complemented
160#16837535C2211yescharacteristic, complemented
161#16837534C2211yescharacteristic, complemented
162#16837505C2211yescharacteristic, complemented
163#16837502C2211yescharacteristic, complemented
164#16837501C2211yescharacteristic, complemented
165#16837500C2211yescharacteristic, complemented
166C4×#11745660C2211yescharacteristic, complemented
167#16837489C2211yescharacteristic, complemented
168#16837487C2211yescharacteristic, complemented
169#16837476C2211yescharacteristic, complemented
170#16837474C2211yescharacteristic, complemented
171#16837473C2211yescharacteristic, complemented
172#16837472C2211yescharacteristic, complemented
173C8×D236C2211yescharacteristic, complemented
174C8×C22⋊D59C2211yescharacteristic, complemented
175(C22⋊D59)⋊C8C2211yescharacteristic, complemented
176#16837462C2211yescharacteristic, complemented
177#16837461C2211yescharacteristic, complemented
178#16837410C2211yescharacteristic, complemented
179#16837409C2211yescharacteristic, complemented
180#16837395C2211yescharacteristic, complemented
181C2×#14273650C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183#103×D59C2211yescharacteristic, complemented
184#16837368C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic
189C59×#548C2211yescharacteristic, complemented
190C59×#488C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C8×D4×C59C2211yescharacteristic, complemented
201C59×#416C2211yescharacteristic, complemented
202C2×#103×C59C2211yescharacteristic, complemented
203#14273774—42no—
204#14273774—42no—
205C2×#11745685—21no—
206C2×#11745685C2311yescharacteristic
207C2×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687C2311yescharacteristic
210C2×#11745687C2311yescharacteristic
211C22×Dic118—21no—
212C22×Dic118—21no—
213C22×Dic118C2311yescharacteristic
214C22×Dic118C2311yescharacteristic
215C2×Q8×D59—21no—
216C2×Q8×D59—21no—
217C2×Q8×D59—42no—
218C2×Q8×D59—42no—
219C2×Q8×D59C2311yescharacteristic
220C2×Q8×D59C2311yescharacteristic
221C2×Q8×D59C2311yescharacteristic
222C2×Q8×D59C2311yescharacteristic
223C2×Q8×D59C2311yescharacteristic
224C22×D236—21no—
225C22×D236—21no—
226C22×D236C2311yescharacteristic
227C22×D236C2311yescharacteristic
228C2×D4×D59—21no—
229C2×D4×D59—21no—
230C2×D4×D59—21no—
231C2×D4×D59—21no—
232C2×D4×D59C2311yescharacteristic
233C2×D4×D59C2311yescharacteristic
234C22×C4×D59—21no—
235C22×C4×D59C2311yescharacteristic
236#14273752—42no—
237#14273751—42no—
238C2×#11745660—42no—
239C2×#11745660—42no—
240C2×#11745660C2311yescharacteristic
241C2×#11745660C2311yescharacteristic
242C2×#11745660C2311yescharacteristic
243C2×#11745660C2311yescharacteristic
244C2×#11745660C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745660C2311yescharacteristic
247C2×#11745660C2311yescharacteristic
248C2×#11745660C2311yescharacteristic
249C2×#11745670C2311yescharacteristic
250C2×#11745670C2311yescharacteristic
251C2×#11745670C2311yescharacteristic
252C2×#11745671—42no—
253C2×#11745671C2311yescharacteristic
254C2×#11745671C2311yescharacteristic
255C2×#11745671C2311yescharacteristic
256C2×#11745671C2311yescharacteristic
257C2×#11745671C2311yescharacteristic
258C2×#11745671C2311yescharacteristic
259SD16×D59—42no—
260SD16×D59—42no—
261SD16×D59—42no—
262C2×#11745669C2311yescharacteristic
263C2×#11745669C2311yescharacteristic
264C2×#11745669C2311yescharacteristic
265C2×#11745664C2311yescharacteristic
266C2×#11745659C2311yescharacteristic
267C22×C59⋊C8C2311yescharacteristic
268C2×C8×D59C2311yescharacteristic
269C2×C8×D59C2311yescharacteristic
270C2×C8×D59C2311yescharacteristic
271#14273727—21no—
272#14273727C2311yescharacteristic
273#14273726—21no—
274#14273726—21no—
275#14273726—21no—
276#14273725—21no—
277#14273725C2311yescharacteristic
278#14273724—21no—
279#14273724C2311yescharacteristic
280#14273723—21no—
281#14273723C2311yescharacteristic
282#14273722—21no—
283#14273722—21no—
284#14273721—21no—
285#14273718C2311yescharacteristic
286#14273715—21no—
287#14273714—21no—
288#14273714C2311yescharacteristic
289#14273713—21no—
290#14273713—21no—
291#14273713—21no—
292#14273713—21no—
293#14273712—21no—
294#14273712—21no—
295#14273712—21no—
296#14273712—21no—
297#14273712—21no—
298#14273712D411yescharacteristic
299#14273710—21no—
300#14273709—21no—
301#14273709—21no—
302#14273709—21no—
303#14273709—21no—
304#14273709—21no—
305#14273709—21no—
306#14273709D411yescharacteristic
307#14273707—21no—
308#14273707—21no—
309#14273707C2311yescharacteristic
310#14273707C2311yescharacteristic
311#14273706—21no—
312#14273706—21no—
313#14273706C2311yescharacteristic
314#14273706C2311yescharacteristic
315#14273705—21no—
316#14273705D411yescharacteristic
317#14273704—21no—
318#14273704—21no—
319#14273704—21no—
320#14273704—21no—
321#14273704—21no—
322#14273704—21no—
323#14273704—21no—
324#14273704D411yescharacteristic
325#14273703—21no—
326#14273703C2311yescharacteristic
327#14273702—21no—
328#14273702—21no—
329#14273702—21no—
330#14273702—21no—
331#14273702—21no—
332#14273702—21no—
333#14273702C2311yescharacteristic
334#14273702C2311yescharacteristic
335#14273702C2311yescharacteristic
336#14273702C2311yescharacteristic
337#14273702C2311yescharacteristic
338#14273702C2311yescharacteristic
339#14273702C2311yescharacteristic
340#14273701—21no—
341#14273701—21no—
342#14273701—21no—
343#14273701C2311yescharacteristic
344#14273701C2311yescharacteristic
345#14273700—21no—
346#14273700—21no—
347#14273700—21no—
348#14273700—21no—
349#14273700—21no—
350#14273700—21no—
351#14273700D411yescharacteristic
352#14273699—21no—
353#14273699—21no—
354#14273699D411yescharacteristic
355#14273698—21no—
356#14273698C2311yescharacteristic
357#14273698C2311yescharacteristic
358#14273697—21no—
359#14273697—21no—
360#14273697—21no—
361#14273697—21no—
362#14273697—21no—
363#14273697—21no—
364#14273697—21no—
365#14273697—21no—
366#14273697—21no—
367#14273697D411yescharacteristic
368#14273695—21no—
369#14273695—21no—
370#14273695—21no—
371#14273695—21no—
372#14273695D411yescharacteristic
373Q8×Dic59C2311yescharacteristic
374C4×Dic118—21no—
375C4×Dic118C2311yescharacteristic
376#14273692—21no—
377#14273692C2311yescharacteristic
378C4×D236—21no—
379C4×D236—21no—
380C4×D236C2311yescharacteristic
381C4×D236C2311yescharacteristic
382D4×Dic59—21no—
383D4×Dic59—21no—
384D4×Dic59—21no—
385#14273689—21no—
386#14273689C2311yescharacteristic
387#14273689C2311yescharacteristic
388C4×C22⋊D59—21no—
389C4×C22⋊D59—21no—
390C4×C22⋊D59—21no—
391C4×C22⋊D59C2311yescharacteristic
392C4×C22⋊D59C2311yescharacteristic
393(C22⋊D59)⋊C4—21no—
394(C22⋊D59)⋊C4—21no—
395(C22⋊D59)⋊C4—21no—
396#14273685—21no—
397#14273685C2311yescharacteristic
398#14273685C2311yescharacteristic
399#14273684—21no—
400#14273684C2311yescharacteristic
401C4⋊C4×D59C2311yescharacteristic
402C2×(C2×D59)⋊C4—21no—
403C22⋊C4×D59—21no—
404#14273660C2311yescharacteristic
405#14273660C2311yescharacteristic
406#14273660C2311yescharacteristic
407#14273659C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273650C2311yescharacteristic
424#14273650C2311yescharacteristic
425#14273650C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273649C2311yescharacteristic
428#14273649C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444#14273638C2311yescharacteristic
445#14273637C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C22×Q8×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C22×C8×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454#126×C59—21no—
455#125×C59C2311yescharacteristic
456#124×C59—21no—
457#124×C59C2311yescharacteristic
458#123×C59—21no—
459C22⋊Q8×C59—21no—
460C22⋊Q8×C59C2311yescharacteristic
461#121×C59—21no—
462#121×C59—21no—
463#121×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466C4×Q8×C59C2311yescharacteristic
467C4×D4×C59—21no—
468C4×D4×C59—21no—
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471#117×C59C2311yescharacteristic
472C2×C4⋊C4×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474#106×C59C2311yescharacteristic
475#106×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59C2×D411yescharacteristic
495#41×C59—22no—
496#41×C59—41no—
497C2×Q8×C59—21no—
498C2×Q8×C59—22no—
499C2×Q8×C59—41no—
500C2×Q8×C59C2411yescharacteristic
501C2×Q8×C59C2411yescharacteristic
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59C2×D411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59C2411yescharacteristic
514C22×C4×C59C2411yescharacteristic
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59C2×D411yescharacteristic
526C2×C22⋊D59C2×D411yescharacteristic
527C2×C22⋊D59C2×D411yescharacteristic
528C2×C22⋊D59C2×D411yescharacteristic
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59C2×D411yescharacteristic
534Q8×D59—22no—
535Q8×D59—22no—
536Q8×D59—22no—
537Q8×D59—22no—
538Q8×D59—22no—
539Q8×D59—41no—
540Q8×D59—41no—
541Q8×D59—41no—
542Q8×D59—41no—
543Q8×D59—41no—
544Q8×D59—44no—
545Q8×D59—44no—
546#11745687—22no—
547#11745687—41no—
548#11745687—41no—
549#11745687—41no—
550#11745687—44no—
551#11745687—44no—
552D4×D59—41no—
553D4×D59—41no—
554D4×D59—41no—
555D4×D59—41no—
556D4×D59—82no—
557D4×D59—82no—
558D4×D59—82no—
559D4×D59—82no—
560#11745685—41no—
561#11745685—41no—
562#11745685—44no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—21no—
566C2×D236—21no—
567C2×D236—21no—
568C2×D236—21no—
569C2×D236—21no—
570C2×D236—21no—
571C2×D236—21no—
572C2×D236—21no—
573C2×D236—21no—
574C2×D236—41no—
575C2×D236—41no—
576C2×D236—41no—
577C2×D236—41no—
578C2×D236—82no—
579C2×D236—82no—
580C2×D236C2×D411yescharacteristic
581C2×D236C2×D411yescharacteristic
582C2×D236C2411yescharacteristic
583C2×D236C2411yescharacteristic
584C2×D236C2411yescharacteristic
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—41no—
595C2×C4×D59—41no—
596C2×C4×D59—44no—
597C2×C4×D59C2×D411yescharacteristic
598C2×C4×D59C2×D411yescharacteristic
599C2×C4×D59C2411yescharacteristic
600C2×C4×D59C2411yescharacteristic
601C2×C4×D59C2411yescharacteristic
602C2×Dic118—21no—
603C2×Dic118—22no—
604C2×Dic118—22no—
605C2×Dic118—21no—
606C2×Dic118—21no—
607C2×Dic118—21no—
608C2×Dic118—21no—
609C2×Dic118—21no—
610C2×Dic118—21no—
611C2×Dic118—41no—
612C2×Dic118—41no—
613C2×Dic118—44no—
614C2×Dic118—44no—
615C2×Dic118C2×D411yescharacteristic
616C2×Dic118C2411yescharacteristic
617C2×Dic118C2411yescharacteristic
618C2×Dic118C2411yescharacteristic
619SD16×C59—22no—
620SD16×C59—41no—
621D8×C59—41no—
622C2×C8×C59—41no—
623C2×C8×C59—41no—
624C2×C8×C59C2411yescharacteristic
625C2×C8×C59C2411yescharacteristic
626C2×C8×C59C2411yescharacteristic
627C2×C8×C59C2411yescharacteristic
628C4⋊C4×C59—21no—
629C4⋊C4×C59—21no—
630C4⋊C4×C59—21no—
631C4⋊C4×C59—21no—
632C4⋊C4×C59—21no—
633C4⋊C4×C59C2×D411yescharacteristic
634C4⋊C4×C59C2411yescharacteristic
635C4⋊C4×C59C2411yescharacteristic
636C4⋊C4×C59C2411yescharacteristic
637C4⋊C4×C59C2411yescharacteristic
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊C4×C59—21no—
641C22⋊C4×C59—21no—
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59C2×D411yescharacteristic
647C22⋊C4×C59C2×D411yescharacteristic
648C42×C59—21no—
649C42×C59—21no—
650C42×C59C2411yescharacteristic
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59C2×D411yescharacteristic
658C22⋊Dic59C2×D411yescharacteristic
659#11745671—22no—
660#11745671—22no—
661#11745671—22no—
662#11745671—41no—
663#11745671—41no—
664#11745671—41no—
665#11745670—22no—
666#11745670—41no—
667#11745670—41no—
668#11745669—41no—
669#11745669—41no—
670#11745669—41no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4C2×D411yescharacteristic
689(C2×D59)⋊C4C2×D411yescharacteristic
690(C2×D59)⋊C4C2×D411yescharacteristic
691(C2×D59)⋊C4C2×D411yescharacteristic
692(C2×D59)⋊C4C2×D411yescharacteristic
693(C2×D59)⋊C4C2×D411yescharacteristic
694C4⋊Dic59—21no—
695C4⋊Dic59—21no—
696C4⋊Dic59—21no—
697C4⋊Dic59—21no—
698C4⋊Dic59—21no—
699C4⋊Dic59—21no—
700C4⋊Dic59C2×D411yescharacteristic
701C4⋊Dic59C2411yescharacteristic
702C4⋊Dic59C2411yescharacteristic
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4C2×D411yescharacteristic
713Dic59⋊C4C2×D411yescharacteristic
714Dic59⋊C4C2×D411yescharacteristic
715Dic59⋊C4C2×D411yescharacteristic
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59C2411yescharacteristic
722#11745664—41no—
723C2×C59⋊C8—41no—
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728#11745660—22no—
729#11745660—22no—
730#11745660—22no—
731#11745660—41no—
732#11745660—41no—
733#11745660—41no—
734#11745660—41no—
735#11745660—41no—
736#11745660—41no—
737#11745659—41no—
738C8×D59—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59C22×D411yescharacteristic
744C23×C59C22×D411yescharacteristic
745C22×D59—22no—
746C22×D59—22no—
747C22×D59—21no—
748C22×D59—21no—
749C22×D59—21no—
750C22×D59—41no—
751C22×D59—42no—
752C22×D59—42no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59C22×D411yescharacteristic
764C22×D59C22×D411yescharacteristic
765C22×D59C22×D411yescharacteristic
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—42no—
770Q8×C59H(5,𝔽2)12yes—
771D4×C59—22no—
772D4×C59—21no—
773D4×C59—21no—
774D4×C59—21no—
775D4×C59—21no—
776D4×C59—42no—
777D4×C59—42no—
778D4×C59—42no—
779D4×C59—81no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—42no—
791C2×C4×C59—42no—
792C2×C4×C59—81no—
793C2×C4×C59—81no—
794C2×C4×C59C22×D411yescharacteristic
795C2×C4×C59C22×D411yescharacteristic
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C22×D411yescharacteristic
798C2×C4×C59C2511yescharacteristic
799C22⋊D59—22no—
800C22⋊D59—22no—
801C22⋊D59—41no—
802C22⋊D59—41no—
803C22⋊D59—42no—
804C22⋊D59—42no—
805C22⋊D59—42no—
806C22⋊D59—42no—
807C22⋊D59—81no—
808C22⋊D59—81no—
809C22⋊D59—81no—
810C22⋊D59—81no—
811C22⋊D59—81no—
812C22⋊D59—81no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—41no—
819C2×Dic59—42no—
820C2×Dic59—42no—
821C2×Dic59—42no—
822C2×Dic59—42no—
823C2×Dic59C22×D411yescharacteristic
824C2×Dic59C22×D411yescharacteristic
825C2×Dic59C22×D411yescharacteristic
826C2×Dic59C22×D411yescharacteristic
827C2×Dic59C22×D411yescharacteristic
828D236—22no—
829D236—21no—
830D236—21no—
831D236—21no—
832D236—21no—
833D236—21no—
834D236—21no—
835D236—41no—
836D236—42no—
837D236—42no—
838D236—81no—
839D236—81no—
840D236—81no—
841D236—81no—
842D236—81no—
843D236—81no—
844D236—81no—
845D236—81no—
846D236—81no—
847C4×D59—24no—
848C4×D59—21no—
849C4×D59—21no—
850C4×D59—21no—
851C4×D59—21no—
852C4×D59—21no—
853C4×D59—21no—
854C4×D59—41no—
855C4×D59—41no—
856C4×D59—42no—
857C4×D59—42no—
858C4×D59—42no—
859C4×D59—42no—
860C4×D59—81no—
861C4×D59—81no—
862C4×D59—81no—
863C4×D59—81no—
864Dic118—24no—
865Dic118—21no—
866Dic118—21no—
867Dic118—21no—
868Dic118—21no—
869Dic118—21no—
870Dic118—41no—
871Dic118—42no—
872Dic118—42no—
873Dic118—42no—
874Dic118—42no—
875Dic118—42no—
876Dic118—42no—
877Dic118H(5,𝔽2)12yes—
878C8×C59—21no—
879C8×C59—21no—
880C8×C59—21no—
881C8×C59—21no—
882C59⋊C8—21no—
883C59⋊C8—21no—
884C59⋊C8—21no—
885C59⋊C8—21no—
886#61633—591nomaximal, Sylow
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—21no—
890C22×C59—21no—
891C22×C59—21no—
892C22×C59—41no—
893C22×C59—41no—
894C22×C59—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59—41no—
898C22×C59#57712yes—
899C22×C59C23×D411yescharacteristic
900C2×D59—21no—
901C2×D59—21no—
902C2×D59—21no—
903C2×D59—21no—
904C2×D59—21no—
905C2×D59—21no—
906C2×D59—21no—
907C2×D59—21no—
908C2×D59—44no—
909C2×D59—41no—
910C2×D59—41no—
911C2×D59—41no—
912C2×D59—41no—
913C2×D59—41no—
914C2×D59—41no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—162no—
919C2×D59—162no—
920C2×D59—162no—
921C2×D59—162no—
922C2×D59#57712yes—
923C4×C59—22no—
924C4×C59—21no—
925C4×C59—21no—
926C4×C59—21no—
927C4×C59—21no—
928C4×C59—41no—
929C4×C59—41no—
930C4×C59—41no—
931C4×C59—41no—
932C4×C59—41no—
933C4×C59C2×H(5,𝔽2)11yescharacteristic
934C4×C59C2×H(5,𝔽2)11yescharacteristic
935Dic59—21no—
936Dic59—22no—
937Dic59—21no—
938Dic59—21no—
939Dic59—21no—
940Dic59—21no—
941Dic59—41no—
942Dic59—41no—
943Dic59—41no—
944Dic59—41no—
945#3537—591no—
946#3486—591no—
947#3320—591no—
948#3320—591no—
949#3320—591no—
950#3320—591no—
951#3301—591no—
952#3301—591no—
953#3301—591no—
954#3301D5911yescharacteristic, complemented
955D4×SD16—591no—
956D4×SD16—591no—
957D4×SD16—591no—
958D4×SD16—591no—
959#3265—591no—
960#3265—591no—
961#3265—591no—
962#3265—591no—
963#3221—591no—
964#3221—591no—
965#3200—591no—
966#3200—591no—
967#3188—591no—
968#3188—591no—
969#3126—591no—
970#3126—591no—
971#3010—591no—
972#3010—591no—
973C2×#448—591no—
974C2×#448—591no—
975#2977—591no—
976C2×C59—22no—
977C2×C59—41no—
978C2×C59—81no—
979C2×C59—81no—
980C2×C59#348411yescharacteristic
981C2×C59C2×#57711yescharacteristic
982C2×C59C2×#57711yescharacteristic
983D59—22no—
984D59—41no—
985D59—41no—
986D59—81no—
987D59—81no—
988D59—81no—
989C2×2−1+4—591no—
990C23×Q8—591no—
991C2×AGL(1,ℤ/8)—591no—
992C2×AGL(1,ℤ/8)—591no—
993C22×SD16—591no—
994C22×SD16—591no—
995C22×SD16—591no—
996C22×SD16—591no—
997C22×SD16—591no—
998C22×SD16—591no—
999#560—1181no—
1000#560—1181no—
1001#553—591no—
1002#553—591no—
1003#553—591no—
1004#553C2×D5911yescharacteristic
1005D4×Q8—591no—
1006D4×Q8—591no—
1007D4×Q8—591no—
1008D4×Q8—591no—
1009D4×Q8—1181no—
1010D4×Q8—1181no—
1011#548—591no—
1012#548—591no—
1013#548—591no—
1014#548—1181no—
1015#548—1181no—
1016#548C2×D5911yescharacteristic, complemented
1017D42—591no—
1018D42—591no—
1019D42—591no—
1020D42—591no—
1021D42—1181no—
1022D42—1181no—
1023#540—591no—
1024#540—591no—
1025#538—1181no—
1026#538—1181no—
1027#536—591no—
1028#536—591no—
1029#536—1181no—
1030#536—1181no—
1031#535—591no—
1032#535—591no—
1033#534—1181no—
1034#534—1181no—
1035#525—591no—
1036#525—591no—
1037#525—1181no—
1038#525—1181no—
1039C2×#121—591no—
1040C2×#121—591no—
1041#519—591no—
1042#496—591no—
1043#496—591no—
1044#492—591no—
1045#492—591no—
1046#491—591no—
1047#491—591no—
1048#488—591no—
1049#488C2×D5911yescharacteristic, complemented
1050#485—591no—
1051#485—591no—
1052#485—591no—
1053#485C2×D5911yescharacteristic, complemented
1054#484—591no—
1055#484—591no—
1056#482—591no—
1057#482—591no—
1058#482—591no—
1059#482—591no—
1060#481—591no—
1061#481C2×D5911yescharacteristic, complemented
1062#479—591no—
1063#479—591no—
1064#479—591no—
1065#479C2×D5911yescharacteristic, complemented
1066#468—591no—
1067#468—591no—
1068#468—591no—
1069#468—591no—
1070#466—591no—
1071#466—591no—
1072#466—591no—
1073#466C2×D5911yescharacteristic, complemented
1074#465—591no—
1075#465—591no—
1076#465—591no—
1077#465—591no—
1078#465—591no—
1079#465—591no—
1080#465—591no—
1081#465C2×D5911yescharacteristic, complemented
1082#463—591no—
1083#463—591no—
1084#463—591no—
1085#463C2×D5911yescharacteristic, complemented
1086#461—591no—
1087#461—591no—
1088#461—591no—
1089#461—591no—
1090#460—591no—
1091#460—591no—
1092#460—591no—
1093#460—591no—
1094#450—591no—
1095#450—591no—
1096#450—591no—
1097#450—591no—
1098#450—591no—
1099#450—591no—
1100#449—591no—
1101#449—591no—
1102#449—591no—
1103#449—591no—
1104#449—591no—
1105#449—591no—
1106#449—591no—
1107#449C2×D5911yescharacteristic, complemented
1108#448—591no—
1109#448—591no—
1110#448—591no—
1111#448—591no—
1112#448—591no—
1113#448—591no—
1114#448—591no—
1115#448—591no—
1116#448—591no—
1117#448—591no—
1118#448—591no—
1119#448—591no—
1120#448—591no—
1121#448—591no—
1122#448—591no—
1123#448—591no—
1124#448—591no—
1125#448—591no—
1126#448—591no—
1127#448C2×D5911yescharacteristic, complemented
1128#447—591no—
1129#447—591no—
1130#440—591no—
1131#440—591no—
1132#440—591no—
1133#440—591no—
1134C4×SD16—591no—
1135C4×SD16—591no—
1136C4×SD16—591no—
1137C4×SD16C2×D5911yescharacteristic, complemented
1138#435—591no—
1139#435—591no—
1140#435—591no—
1141#435—591no—
1142C8×D4—591no—
1143C8×D4—591no—
1144C8×D4—591no—
1145C8×D4C2×D5911yescharacteristic, complemented
1146#433—591no—
1147#433—591no—
1148#419—591no—
1149#419—591no—
1150#416—591no—
1151#416C2×D5911yescharacteristic, complemented
1152C2×#103—591no—
1153C2×#103—591no—
1154C2×#103—591no—
1155C2×#103C2×D5911yescharacteristic, complemented
1156#408—591no—
1157#408—591no—
1158C2×C22⋊C8—591no—
1159C2×C22⋊C8—591no—
1160C59#6163311yescharacteristic, complemented, Sylow
11612−1+4—2362no—
11622−1+4—2362no—
1163C2×#41—591no—
1164C2×#41—591no—
1165C2×#41—591no—
1166C2×#41—1181no—
1167C2×#41—1181no—
1168C2×#41—1181no—
1169C2×#41C22×D5911yescharacteristic
1170C22×Q8—591no—
1171C22×Q8—591no—
1172C22×Q8—591no—
1173C22×Q8—591no—
1174C22×Q8—591no—
1175C22×Q8—591no—
1176C22×Q8—591no—
1177C22×Q8—1181no—
1178C22×Q8—1181no—
1179C22×Q8—1181no—
1180C22×Q8—1181no—
1181C22×Q8—2362no—
1182C22×Q8—2362no—
1183C22×Q8C22×D5911yescharacteristic
1184C22×D4—591no—
1185C22×D4—591no—
1186C22×D4—591no—
1187C22×D4—591no—
1188C22×D4—1181no—
1189C22×D4—1181no—
1190C22×D4—1181no—
1191C22×D4—1181no—
1192C22×D4—1181no—
1193C22×D4—1181no—
1194C23×C4—591no—
1195C23×C4—1181no—
1196AGL(1,ℤ/8)—2362no—
1197AGL(1,ℤ/8)—2362no—
1198C2×SD16—591no—
1199C2×SD16—591no—
1200C2×SD16—591no—
1201C2×SD16—591no—
1202C2×SD16—591no—
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—591no—
1212C2×SD16—591no—
1213C2×SD16—591no—
1214C2×SD16—591no—
1215C2×SD16—591no—
1216C2×SD16—2362no—
1217C2×SD16—2362no—
1218C2×SD16—2362no—
1219C2×SD16—2362no—
1220C2×SD16—2362no—
1221C2×SD16—2362no—
1222C2×SD16C22×D5911yescharacteristic
1223C2×SD16C22×D5911yescharacteristic
1224C2×D8—591no—
1225C2×D8—591no—
1226C2×D8—591no—
1227C2×D8C22×D5911yescharacteristic
1228C2×M16—591no—
1229C2×M16—591no—
1230C22×C8—591no—
1231C22×C8—591no—
1232C22×C8—591no—
1233C22×C8—591no—
1234C22×C8C22×D5911yescharacteristic
1235C22×C8C22×D5911yescharacteristic
1236C4⋊Q8—591no—
1237C4⋊Q8—591no—
1238C4⋊Q8—1181no—
1239C4⋊Q8—1181no—
1240C4⋊Q8—1181no—
1241C4⋊Q8—1181no—
1242C4⋊Q8—1181no—
1243#127—591no—
1244#127—591no—
1245#127—1181no—
1246#127—1181no—
1247#126—21no—
1248#126—1181no—
1249#126—1181no—
1250#126—1181no—
1251#125—591no—
1252#125C22×D5911yescharacteristic
1253#124—21no—
1254#124—591no—
1255#124—1181no—
1256#124—1181no—
1257#124—1181no—
1258#124—1181no—
1259#124—1181no—
1260#124—1181no—
1261#124C22×D5911yescharacteristic
1262#123—21no—
1263#123—591no—
1264#123—591no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277C22⋊Q8—21no—
1278C22⋊Q8—591no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—1181no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8—1181no—
1295C22⋊Q8—1181no—
1296C22⋊Q8—1181no—
1297C22⋊Q8—1181no—
1298C22⋊Q8C22×D5911yescharacteristic
1299#121—21no—
1300#121—21no—
1301#121—591no—
1302#121—591no—
1303#121—591no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—591no—
1312#121—591no—
1313#121—591no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121C22×D5911yescharacteristic
1333#121C22×D5911yescharacteristic
1334#121C22×D5911yescharacteristic
1335#120—591no—
1336#120—591no—
1337#120—1181no—
1338#120—1181no—
1339#120—1181no—
1340#120—1181no—
1341#120—1181no—
1342#120—1181no—
1343#120—1181no—
1344#120—1181no—
1345#120—1181no—
1346#120—1181no—
1347#120—1181no—
1348#120—1181no—
1349#120—1181no—
1350C4×Q8—591no—
1351C4×Q8—591no—
1352C4×Q8—591no—
1353C4×Q8—1181no—
1354C4×Q8—1181no—
1355C4×Q8C22×D5911yescharacteristic
1356C4×D4—21no—
1357C4×D4—21no—
1358C4×D4—591no—
1359C4×D4—591no—
1360C4×D4—591no—
1361C4×D4—591no—
1362C4×D4—591no—
1363C4×D4—591no—
1364C4×D4—1181no—
1365C4×D4—1181no—
1366C4×D4—1181no—
1367C4×D4—1181no—
1368C4×D4—1181no—
1369C4×D4—1181no—
1370C4×D4—1181no—
1371C4×D4—1181no—
1372C4×D4—1181no—
1373C4×D4—1181no—
1374C4×D4—1181no—
1375C4×D4—1181no—
1376C4×D4C22×D5911yescharacteristic
1377C4×D4C22×D5911yescharacteristic
1378#117—591no—
1379#117—591no—
1380#117—591no—
1381#117—1181no—
1382#117—1181no—
1383#117C22×D5911yescharacteristic
1384C2×C4⋊C4—591no—
1385C2×C4⋊C4C22×D5911yescharacteristic
1386C2×C22⋊C4—1181no—
1387C2×C22⋊C4—1181no—
1388#107—591no—
1389#107—591no—
1390#107—591no—
1391#107C22×D5911yescharacteristic
1392#106—591no—
1393#106—591no—
1394#106C22×D5911yescharacteristic
1395#106C22×D5911yescharacteristic
1396C4⋊C8—591no—
1397C4⋊C8—591no—
1398C4⋊C8—591no—
1399C4⋊C8C22×D5911yescharacteristic
1400#103—591no—
1401#103—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103—591no—
1406#103—591no—
1407#103—591no—
1408#103—591no—
1409#103—591no—
1410#103—591no—
1411#103—591no—
1412#103—591no—
1413#103—591no—
1414#103C22×D5911yescharacteristic
1415#103C22×D5911yescharacteristic
1416#103C22×D5911yescharacteristic
1417#103C22×D5911yescharacteristic
1418#103C22×D5911yescharacteristic
1419#103C22×D5911yescharacteristic
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102—591no—
1424#102—591no—
1425#102—591no—
1426#102—591no—
1427#102—591no—
1428#102C22×D5911yescharacteristic
1429#102C22×D5911yescharacteristic
1430#102C22×D5911yescharacteristic
1431#102C22×D5911yescharacteristic
1432C22⋊C8—591no—
1433C22⋊C8—591no—
1434C22⋊C8—591no—
1435C22⋊C8—591no—
1436C22⋊C8—591no—
1437C22⋊C8—591no—
1438C22⋊C8—591no—
1439C22⋊C8—591no—
1440C22⋊C8—591no—
1441C22⋊C8—591no—
1442C22⋊C8C22×D5911yescharacteristic
1443C22⋊C8C22×D5911yescharacteristic
1444#97—591no—
1445#97—591no—
1446C4×C8—591no—
1447C4×C8C22×D5911yescharacteristic
1448C24—591no—
1449C24—1181no—
1450C24—1181no—
1451C24—1181no—
1452C24—1181no—
1453#41—22no—
1454#41—41no—
1455#41—1182no—
1456#41—2361no—
1457#41—2361no—
1458#41—2364no—
1459#41—2361no—
1460#41—2361no—
1461#41—2361no—
1462#41—2364no—
1463#41—2364no—
1464C2×Q8—21no—
1465C2×Q8—22no—
1466C2×Q8—41no—
1467C2×Q8—591no—
1468C2×Q8—591no—
1469C2×Q8—591no—
1470C2×Q8—591no—
1471C2×Q8—1181no—
1472C2×Q8—1181no—
1473C2×Q8—1181no—
1474C2×Q8—1181no—
1475C2×Q8—1181no—
1476C2×Q8—1182no—
1477C2×Q8—1182no—
1478C2×Q8—1182no—
1479C2×Q8—1182no—
1480C2×Q8—1181no—
1481C2×Q8—1181no—
1482C2×Q8—1182no—
1483C2×Q8—1182no—
1484C2×Q8—1182no—
1485C2×Q8—2361no—
1486C2×Q8—2361no—
1487C2×Q8—2364no—
1488C2×Q8—2364no—
1489C2×Q8—2361no—
1490C2×Q8—2361no—
1491C2×Q8—2361no—
1492C2×Q8—2361no—
1493C2×Q8—2361no—
1494C2×Q8—2364no—
1495C2×Q8—2364no—
1496C2×Q8C23×D5911yescharacteristic
1497C2×Q8C23×D5911yescharacteristic
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—591no—
1503C2×D4—591no—
1504C2×D4—591no—
1505C2×D4—591no—
1506C2×D4—591no—
1507C2×D4—591no—
1508C2×D4—591no—
1509C2×D4—591no—
1510C2×D4—591no—
1511C2×D4—1181no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—1181no—
1516C2×D4—1181no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—4722no—
1533C2×D4—4722no—
1534C2×D4—4722no—
1535C2×D4—4722no—
1536C2×D4—4722no—
1537C2×D4—4722no—
1538C2×D4—2361no—
1539C2×D4—2361no—
1540C2×D4—2361no—
1541C2×D4—2361no—
1542C2×D4—2361no—
1543C2×D4—2361no—
1544C2×D4—2361no—
1545C2×D4—2361no—
1546C2×D4D4×D5911yescharacteristic
1547C2×D4C23×D5911yescharacteristic
1548C2×D4C23×D5911yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—591no—
1554C22×C4—591no—
1555C22×C4—591no—
1556C22×C4—591no—
1557C22×C4—591no—
1558C22×C4—591no—
1559C22×C4—1181no—
1560C22×C4—1181no—
1561C22×C4—1181no—
1562C22×C4—1181no—
1563C22×C4—1181no—
1564C22×C4—1181no—
1565C22×C4—1181no—
1566C22×C4—1181no—
1567C22×C4—1181no—
1568C22×C4—1181no—
1569C22×C4—1181no—
1570C22×C4—1181no—
1571C22×C4—1181no—
1572C22×C4—2361no—
1573C22×C4—2361no—
1574C22×C4—2364no—
1575C22×C4C23×D5911yescharacteristic
1576C22×C4C23×D5911yescharacteristic
1577SD16—22no—
1578SD16—41no—
1579SD16—1182no—
1580SD16—1182no—
1581SD16—1182no—
1582SD16—1182no—
1583SD16—1182no—
1584SD16—1182no—
1585SD16—1182no—
1586SD16—2361no—
1587SD16—2361no—
1588SD16—2361no—
1589SD16—2361no—
1590SD16—2361no—
1591SD16—2361no—
1592SD16—2361no—
1593SD16—2361no—
1594SD16—2361no—
1595SD16—2361no—
1596SD16—2361no—
1597D8—41no—
1598D8—2361no—
1599D8—2361no—
1600D8—2361no—
1601M16—2361no—
1602M16—2361no—
1603C2×C8—41no—
1604C2×C8—41no—
1605C2×C8—591no—
1606C2×C8—591no—
1607C2×C8—591no—
1608C2×C8—591no—
1609C2×C8—2361no—
1610C2×C8—2361no—
1611C2×C8—2361no—
1612C2×C8—2361no—
1613C2×C8C23×D5911yescharacteristic
1614C2×C8C23×D5911yescharacteristic
1615C2×C8C23×D5911yescharacteristic
1616C2×C8C23×D5911yescharacteristic
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—591no—
1623C4⋊C4—591no—
1624C4⋊C4—591no—
1625C4⋊C4—591no—
1626C4⋊C4—591no—
1627C4⋊C4—591no—
1628C4⋊C4—591no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4—1181no—
1634C4⋊C4—1181no—
1635C4⋊C4—1181no—
1636C4⋊C4—1181no—
1637C4⋊C4—1181no—
1638C4⋊C4—1181no—
1639C4⋊C4—1181no—
1640C4⋊C4—1181no—
1641C4⋊C4—1181no—
1642C4⋊C4—1181no—
1643C4⋊C4—1181no—
1644C4⋊C4D4×D5911yescharacteristic
1645C4⋊C4C23×D5911yescharacteristic
1646C4⋊C4C23×D5911yescharacteristic
1647C4⋊C4C23×D5911yescharacteristic
1648C4⋊C4C23×D5911yescharacteristic
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—591no—
1658C22⋊C4—591no—
1659C22⋊C4—591no—
1660C22⋊C4—591no—
1661C22⋊C4—591no—
1662C22⋊C4—591no—
1663C22⋊C4—591no—
1664C22⋊C4—591no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C22⋊C4—1181no—
1688C22⋊C4D4×D5911yescharacteristic
1689C22⋊C4D4×D5911yescharacteristic
1690C42—21no—
1691C42—21no—
1692C42—591no—
1693C42—1181no—
1694C42—1181no—
1695C42—1181no—
1696C42—1181no—
1697C42—1181no—
1698C42C23×D5911yescharacteristic
1699C23—21no—
1700C23—21no—
1701C23—591no—
1702C23—591no—
1703C23—591no—
1704C23—1182no—
1705C23—1182no—
1706C23—1181no—
1707C23—1181no—
1708C23—1181no—
1709C23—4721no—
1710C23—4721no—
1711C23—4721no—
1712C23—4721no—
1713C23—4721no—
1714C23—4721no—
1715C23—4721no—
1716C23—4721no—
1717C23—4721no—
1718C23—4721no—
1719C23—2361no—
1720C23—2362no—
1721C23—2362no—
1722C23C2×D4×D5911yescharacteristic
1723C23C2×D4×D5911yescharacteristic
1724Q8—21no—
1725Q8—21no—
1726Q8—21no—
1727Q8—42no—
1728Q8—592no—
1729Q8—1184no—
1730Q8—1181no—
1731Q8—1181no—
1732Q8—1181no—
1733Q8—1181no—
1734Q8—1181no—
1735Q8—2361no—
1736Q8—2362no—
1737Q8—2362no—
1738Q8—2362no—
1739Q8—2362no—
1740Q8—2362no—
1741Q8—2362no—
1742Q8#1427377312yes—
1743D4—22no—
1744D4—21no—
1745D4—21no—
1746D4—21no—
1747D4—21no—
1748D4—42no—
1749D4—42no—
1750D4—42no—
1751D4—81no—
1752D4—1182no—
1753D4—1182no—
1754D4—1182no—
1755D4—1181no—
1756D4—1181no—
1757D4—1181no—
1758D4—1181no—
1759D4—1181no—
1760D4—1181no—
1761D4—4721no—
1762D4—4721no—
1763D4—4721no—
1764D4—4721no—
1765D4—4721no—
1766D4—4721no—
1767D4—4721no—
1768D4—4721no—
1769D4—4721no—
1770D4—4721no—
1771D4—4721no—
1772D4—4721no—
1773D4—4721no—
1774D4—4721no—
1775D4—4721no—
1776D4—2361no—
1777D4—2362no—
1778D4—2362no—
1779D4—2361no—
1780D4—2361no—
1781D4—2362no—
1782D4—2362no—
1783D4—2362no—
1784D4—2362no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—42no—
1796C2×C4—42no—
1797C2×C4—81no—
1798C2×C4—81no—
1799C2×C4—591no—
1800C2×C4—591no—
1801C2×C4—591no—
1802C2×C4—591no—
1803C2×C4—591no—
1804C2×C4—1184no—
1805C2×C4—1181no—
1806C2×C4—1181no—
1807C2×C4—1181no—
1808C2×C4—1181no—
1809C2×C4—1181no—
1810C2×C4—1181no—
1811C2×C4—1181no—
1812C2×C4—1181no—
1813C2×C4—1181no—
1814C2×C4—1181no—
1815C2×C4—1181no—
1816C2×C4—4721no—
1817C2×C4—4721no—
1818C2×C4—4721no—
1819C2×C4—4721no—
1820C2×C4—2361no—
1821C2×C4—2361no—
1822C2×C4—2362no—
1823C2×C4—2362no—
1824C2×C4—2362no—
1825C2×C4—2362no—
1826C2×C4—2361no—
1827C2×C4—2362no—
1828C2×C4—2362no—
1829C2×C4—2362no—
1830C2×C4—2362no—
1831C2×C4C2×D4×D5911yescharacteristic
1832C2×C4C2×D4×D5911yescharacteristic
1833C2×C4C2×D4×D5911yescharacteristic
1834C2×C4C2×D4×D5911yescharacteristic
1835C2×C4C24×D5911yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—1181no—
1841C8—1181no—
1842C8—1181no—
1843C8—1181no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—592no—
1856C22—1181no—
1857C22—1181no—
1858C22—1181no—
1859C22—1181no—
1860C22—1181no—
1861C22—1181no—
1862C22—1181no—
1863C22—1181no—
1864C22—9442no—
1865C22—9442no—
1866C22—9442no—
1867C22—9442no—
1868C22—2364no—
1869C22—2361no—
1870C22—2361no—
1871C22—2361no—
1872C22—2361no—
1873C22—2361no—
1874C22—2361no—
1875C22—2361no—
1876C22—2361no—
1877C22—2361no—
1878C22#1683820912yes—
1879C22C22×D4×D5911yescharacteristic
1880C4—21no—
1881C4—21no—
1882C4—22no—
1883C4—21no—
1884C4—21no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—1181no—
1891C4—1181no—
1892C4—1181no—
1893C4—1182no—
1894C4—1181no—
1895C4—1181no—
1896C4—2361no—
1897C4—2361no—
1898C4—2361no—
1899C4—2361no—
1900C4H(5,𝔽2)×D5911yescharacteristic
1901C4C2×#1427377311yescharacteristic
1902C2—22no—
1903C2—41no—
1904C2—81no—
1905C2—81no—
1906C2—1182no—
1907C2—4721no—
1908C2—4721no—
1909C2—4721no—
1910C2—2361no—
1911C2—2361no—
1912C2#2143772611yescharacteristic
1913C2#577×D5911yescharacteristic
1914C2C2×#1683820911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3301C2
socleC22×C59C23×D4
hypercenter#3301D59
hypocenterC59#61633
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3301

Complements

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

NH ≅ G/Ntype
1. #21438332C2semidirect
2. #21437742C2semidirect
3. #21436270C2semidirect
4. #21436264C2semidirect
5. #21436263C2semidirect
6. #21436261C2semidirect
7. #21435999C2semidirect
8. #21435997C2semidirect
9. #21435996C2semidirect
10. D4×#11745660C2semidirect
11. SD16×D236C2semidirect
12. #21435789C2semidirect
13. #21435785C2semidirect
14. #21435597C2semidirect
15. #21435594C2semidirect
16. #21435592C2semidirect
17. #21435588C2semidirect
18. #21435160C2semidirect
19. #21435154C2semidirect
20. #21434967C2semidirect
21. #21434962C2semidirect
22. #21434860C2semidirect
23. #21434856C2semidirect
24. #21434389C2semidirect
25. #21434384C2semidirect
26. #21433385C2semidirect
27. #21433379C2semidirect
28. C2×#16837542C2semidirect
29. #448×D59C2semidirect
30. #21433149C2semidirect
31. C59×#3301C2semidirect
32. C2×#14273774C22semidirect
33. C22×Q8×D59C22semidirect
34. C2×#14273752C22semidirect
35. C2×#14273751C22semidirect
36. C22×#11745660C22semidirect
37. C22×#11745660C22semidirect
38. C22×#11745671C22semidirect
39. C2×SD16×D59C22semidirect
40. C2×SD16×D59C22semidirect
41. C2×SD16×D59C22semidirect
47. Q8×D236C22semidirect
49. D4×Dic118C22semidirect
50. Q8×C22⋊D59C22semidirect
52. #16838065C22semidirect
54. #16838060C22semidirect
55. #16838059C22semidirect
57. #16838058C22semidirect
69. #16837975C22semidirect
71. #16837972C22semidirect
77. #16837912C22semidirect
82. #16837878C22semidirect
83. #16837792C22semidirect
84. #16837790C22semidirect
85. #16837775C22semidirect
86. #16837773C22semidirect
87. #16837772C22semidirect
88. #16837769C22semidirect
89. #16837755C22semidirect
90. #16837746C22semidirect
91. #16837743C22semidirect
92. #16837741C22semidirect
93. #16837739C22semidirect
94. #16837737C22semidirect
95. #16837729C22semidirect
96. #16837728C22semidirect
97. #16837728C22semidirect
98. #16837725C22semidirect
99. #16837719C22semidirect
100. #16837712C22semidirect
101. #16837707C22semidirect
102. #16837706C22semidirect
103. #16837651C22semidirect
104. #16837650C22semidirect
105. #16837649C22semidirect
106. #16837646C22semidirect
107. #16837637C22semidirect
108. #16837637C22semidirect
109. #16837636C22semidirect
110. #16837634C22semidirect
111. #16837632C22semidirect
112. #16837632C22semidirect
113. #16837632C22semidirect
114. #16837631C22semidirect
115. #16837631C22semidirect
116. #16837629C22semidirect
117. #16837616C22semidirect
118. #16837616C22semidirect
119. #16837614C22semidirect
120. #16837608C22semidirect
121. #16837607C22semidirect
122. #16837606C22semidirect
123. #16837606C22semidirect
124. #16837603C22semidirect
125. #16837602C22semidirect
126. #16837601C22semidirect
127. #16837600C22semidirect
128. #16837555C22semidirect
129. #16837555C22semidirect
130. #16837554C22semidirect
131. #16837554C22semidirect
132. #16837552C22semidirect
133. #16837551C22semidirect
134. #16837548C22semidirect
135. #16837548C22semidirect
136. #16837548C22semidirect
137. #16837548C22semidirect
138. #16837548C22semidirect
139. #16837547C22semidirect
140. #16837544C22semidirect
141. #16837543C22semidirect
142. #16837543C22semidirect
143. #16837542C22semidirect
144. #16837542C22semidirect
145. #16837542C22semidirect
146. #16837542C22semidirect
147. #16837542C22semidirect
148. #16837542C22semidirect
149. #16837542C22semidirect
150. #16837542C22semidirect
151. #16837542C22semidirect
152. #16837542C22semidirect
153. #16837542C22semidirect
154. #16837542C22semidirect
155. #16837541C22semidirect
156. #16837540C22semidirect
157. #16837540C22semidirect
158. #16837539C22semidirect
159. #16837539C22semidirect
160. #16837535C22semidirect
161. #16837534C22semidirect
162. #16837505C22semidirect
163. #16837502C22semidirect
164. #16837501C22semidirect
165. #16837500C22semidirect
166. C4×#11745660C22semidirect
167. #16837489C22semidirect
168. #16837487C22semidirect
169. #16837476C22semidirect
170. #16837474C22semidirect
171. #16837473C22semidirect
172. #16837472C22semidirect
173. C8×D236C22semidirect
174. C8×C22⋊D59C22semidirect
175. (C22⋊D59)⋊C8C22semidirect
176. #16837462C22semidirect
177. #16837461C22semidirect
178. #16837410C22semidirect
179. #16837409C22semidirect
180. #16837395C22semidirect
181. C2×#14273650C22semidirect
182. #103×D59C22semidirect
183. #103×D59C22semidirect
184. #16837368C22semidirect
185. #16837367C22semidirect
186. C2×(C2×D59)⋊C8C22semidirect
187. C22⋊C8×D59C22semidirect
189. C59×#548C22semidirect
190. C59×#488C22semidirect
191. C59×#485C22semidirect
192. C59×#481C22semidirect
193. C59×#479C22semidirect
194. C59×#466C22semidirect
195. C59×#465C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#448C22semidirect
199. C4×SD16×C59C22semidirect
200. C8×D4×C59C22semidirect
201. C59×#416C22semidirect
202. C2×#103×C59C22semidirect
954. #3301D59semidirect
1016. #548C2×D59semidirect
1049. #488C2×D59semidirect
1053. #485C2×D59semidirect
1061. #481C2×D59semidirect
1065. #479C2×D59semidirect
1073. #466C2×D59semidirect
1081. #465C2×D59semidirect
1085. #463C2×D59semidirect
1107. #449C2×D59semidirect
1127. #448C2×D59semidirect
1137. C4×SD16C2×D59semidirect
1145. C8×D4C2×D59semidirect
1151. #416C2×D59semidirect
1155. C2×#103C2×D59semidirect
1160. C59#61633semidirect

Maximal subgroups

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

subgroupindex
#214383322
#214377422
#214362702
#214362642
#214362632
#214362612
#214359992
#214359972
#214359962
D4×#117456602
SD16×D2362
#214357892
#214357852
#214355972
#214355942
#214355922
#214355882
#214351602
#214351542
#214349672
#214349622
#214348602
#214348562
#214343892
#214343842
#214333852
#214333792
C2×#168375422
#448×D592
#214331492
C59×#33012
#6163359