Finite Group Databasebeta

← #29483914

Subgroups — #29483914

Order 15104.

1900 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438426C211yesmaximal, characteristic, complemented
2#21438195C211yesmaximal, characteristic, complemented
3#21437183C211yesmaximal, characteristic, complemented
4#21437133C211yesmaximal, characteristic, complemented
5#21436867C211yesmaximal, characteristic, complemented
6#21436828C211yesmaximal, characteristic, complemented
7#21436333C211yesmaximal, characteristic, complemented
8#21436318C211yesmaximal, characteristic, complemented
9#21436247C211yesmaximal, characteristic, complemented
10#21436234C211yesmaximal, characteristic, complemented
11#21436112C211yesmaximal, characteristic, complemented
12#21436099C211yesmaximal, characteristic, complemented
13#21435724C211yesmaximal, characteristic, complemented
14#21435713C211yesmaximal, characteristic, complemented
15#21435687C211yesmaximal, characteristic, complemented
16#21435643C211yesmaximal, characteristic, complemented
17#21435598C211yesmaximal, characteristic, complemented
18#21435597C211yesmaximal, characteristic, complemented
19#21435534C211yesmaximal, characteristic, complemented
20#21435513C211yesmaximal, characteristic, complemented
21#21435197C211yesmaximal, characteristic, complemented
22#21435143C211yesmaximal, characteristic, complemented
23#21435111C211yesmaximal, characteristic, complemented
24#21434389C211yesmaximal, characteristic, complemented
25#21434300C211yesmaximal, characteristic, complemented
26#21434199C211yesmaximal, characteristic, complemented
27#21433636C211yesmaximal, characteristic, complemented
28#21433615C211yesmaximal, characteristic, complemented
29#21433577C211yesmaximal, characteristic, complemented
30#21433263C211yesmaximal, characteristic, complemented
31C59×#3256C211yesmaximal, characteristic, complemented
32C2×#14273759C2211yescharacteristic, complemented
33C2×#14273755C2211yescharacteristic, complemented
34C2×#14273755C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C2×#14273748C2211yescharacteristic, complemented
37C2×SD16×D59C2211yescharacteristic, complemented
38#16838143—21no—
39#16838143—21no—
40#16838137C2211yescharacteristic
41#16838135—21no—
42#16838134C2211yescharacteristic, complemented
43#16838129C2211yescharacteristic, complemented
44#16838116C2211yescharacteristic, complemented
45#16838115—21no—
46#16838105C2211yescharacteristic, complemented
47#16838101—21no—
48#16838086C2211yescharacteristic, complemented
49#16838085—21no—
50#16838074C2211yescharacteristic
51#16838073C2211yescharacteristic
52#16838070C2211yescharacteristic, complemented
53#16838062C2211yescharacteristic, complemented
54#16838060C2211yescharacteristic, complemented
55#16838048—21no—
56#16838043C2211yescharacteristic
57#16838043C2211yescharacteristic
58D4×D236—21no—
59D4×D236C2211yescharacteristic
60#16838036C2211yescharacteristic
61#16838036C2211yescharacteristic
62#16838024C2211yescharacteristic, complemented
63#16838020—21no—
64#16838008C2211yescharacteristic
65#16838008C2211yescharacteristic
66#16838007—21no—
67#16838004—21no—
68#16838003C2211yescharacteristic, complemented
69#16837971—21no—
70#16837970C2211yescharacteristic
71#16837970C2211yescharacteristic
72#16837963—21no—
73#16837963—21no—
74C2×#14273724C2211yescharacteristic
75#16837936C2211yescharacteristic
76#16837935—21no—
77#16837935—21no—
78#16837881C2211yescharacteristic, complemented
79#16837878C2211yescharacteristic, complemented
80C4×#11745685C2211yescharacteristic, complemented
81#16837792C2211yescharacteristic
82#16837792C2211yescharacteristic, complemented
83#16837788C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837787C2211yescharacteristic, complemented
86#16837777C2211yescharacteristic, complemented
87#16837768C2211yescharacteristic
88#16837768C2211yescharacteristic, complemented
89#16837765C2211yescharacteristic, complemented
90#16837763C2211yescharacteristic, complemented
91#16837758C2211yescharacteristic, complemented
92#16837747C2211yescharacteristic, complemented
93#16837740C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837728C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic
97#16837722C2211yescharacteristic, complemented
98#16837717C2211yescharacteristic, complemented
99#16837706C2211yescharacteristic, complemented
100#16837705C2211yescharacteristic, complemented
101#16837701C2211yescharacteristic, complemented
102#16837699C2211yescharacteristic, complemented
103#16837691C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837656C2211yescharacteristic, complemented
106#16837656C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic, complemented
108#16837651C2211yescharacteristic, complemented
109#16837639C2211yescharacteristic, complemented
110#16837639C2211yescharacteristic, complemented
111#16837637C2211yescharacteristic, complemented
112#16837634C2211yescharacteristic, complemented
113#16837627C2211yescharacteristic, complemented
114#16837627C2211yescharacteristic, complemented
115#16837626C2211yescharacteristic, complemented
116#16837621C2211yescharacteristic, complemented
117#16837620C2211yescharacteristic, complemented
118#16837620C2211yescharacteristic, complemented
119#16837619C2211yescharacteristic, complemented
120#16837614C2211yescharacteristic, complemented
121#16837603C2211yescharacteristic
122#16837603C2211yescharacteristic, complemented
123#16837603C2211yescharacteristic, complemented
124#16837603C2211yescharacteristic, complemented
125#16837602C2211yescharacteristic, complemented
126#16837602C2211yescharacteristic, complemented
127#16837601C2211yescharacteristic, complemented
128#16837601C2211yescharacteristic, complemented
129#16837600C2211yescharacteristic, complemented
130#16837598C2211yescharacteristic
131#16837598C2211yescharacteristic, complemented
132#16837598C2211yescharacteristic, complemented
133#16837598C2211yescharacteristic, complemented
134#16837597C2211yescharacteristic, complemented
135#16837597C2211yescharacteristic, complemented
136#16837596C2211yescharacteristic, complemented
137#16837596C2211yescharacteristic, complemented
138#16837595C2211yescharacteristic, complemented
139#16837563C2211yescharacteristic, complemented
140#16837562C2211yescharacteristic, complemented
141#16837552C2211yescharacteristic, complemented
142#16837552C2211yescharacteristic, complemented
143#16837551C2211yescharacteristic, complemented
144#16837550C2211yescharacteristic, complemented
145#16837550C2211yescharacteristic, complemented
146#16837548C2211yescharacteristic, complemented
147#16837548C2211yescharacteristic, complemented
148#16837546C2211yescharacteristic, complemented
149#16837545C2211yescharacteristic
150#16837542C2211yescharacteristic, complemented
151#16837542C2211yescharacteristic, complemented
152#16837537C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic, complemented
154#16837535C2211yescharacteristic, complemented
155#16837535C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic, complemented
157#16837531C2211yescharacteristic, complemented
158#16837531C2211yescharacteristic, complemented
159#16837512C2211yescharacteristic, complemented
160#16837511C2211yescharacteristic, complemented
161#16837507C2211yescharacteristic, complemented
162#16837505C2211yescharacteristic, complemented
163#16837502C2211yescharacteristic, complemented
164#16837501C2211yescharacteristic, complemented
165#16837501C2211yescharacteristic, complemented
166#16837500C2211yescharacteristic, complemented
167#16837489C2211yescharacteristic, complemented
168#16837489C2211yescharacteristic, complemented
169#16837487C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, complemented
171#16837478C2211yescharacteristic, complemented
172#16837478C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic, complemented
174#16837472C2211yescharacteristic, complemented
175#16837471C2211yescharacteristic, complemented
176#16837471C2211yescharacteristic, complemented
177#16837462C2211yescharacteristic, complemented
178#16837462C2211yescharacteristic, complemented
179#16837459C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837427C2211yescharacteristic, complemented
182#16837408C2211yescharacteristic, complemented
183#16837408C2211yescharacteristic, complemented
184#16837405C2211yescharacteristic, complemented
185#16837402C2211yescharacteristic, complemented
186#16837397C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#529C2211yescharacteristic
189C59×#529C2211yescharacteristic, complemented
190C59×#479C2211yescharacteristic, complemented
191C59×#479C2211yescharacteristic, complemented
192C59×#478C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#470C2211yescharacteristic, complemented
195C59×#469C2211yescharacteristic
196C59×#468C2211yescharacteristic
197C59×#468C2211yescharacteristic, complemented
198C59×#464C2211yescharacteristic, complemented
199C59×#464C2211yescharacteristic, complemented
200C59×#463C2211yescharacteristic, complemented
201C59×#463C2211yescharacteristic, complemented
202C59×#423C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C22×D236—21no—
210C22×D236—21no—
211C22×D236—21no—
212C22×D236C2311yescharacteristic
213C22×D236C2311yescharacteristic
214C2×D4×D59—21no—
215C2×D4×D59—21no—
216C2×D4×D59C2311yescharacteristic
217C2×D4×D59C2311yescharacteristic
218#14273759—42no—
219#14273755—42no—
220#14273755—42no—
221#14273751—42no—
222#14273748—42no—
223C2×#11745672C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234SD16×D59—42no—
235C2×D472C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×D472C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×C8×D59C2311yescharacteristic
247C2×C8×D59C2311yescharacteristic
248#14273726—21no—
249#14273726C2311yescharacteristic
250#14273724—21no—
251#14273724—21no—
252#14273724—21no—
253#14273724C2311yescharacteristic
254#14273724C2311yescharacteristic
255#14273724C2311yescharacteristic
256#14273724C2311yescharacteristic
257#14273723—21no—
258#14273723C2311yescharacteristic
259#14273723C2311yescharacteristic
260#14273723C2311yescharacteristic
261#14273722—21no—
262#14273721—21no—
263#14273721D411yescharacteristic
264#14273721D411yescharacteristic
265#14273720—21no—
266#14273719D411yescharacteristic
267#14273718C2311yescharacteristic
268#14273717—21no—
269#14273717—21no—
270#14273717—21no—
271#14273716C2311yescharacteristic
272#14273716C2311yescharacteristic
273#14273716C2311yescharacteristic
274#14273715—21no—
275#14273715—21no—
276#14273715D411yescharacteristic
277#14273714—21no—
278#14273713—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712—21no—
292#14273711—21no—
293#14273710—21no—
294#14273710D411yescharacteristic
295#14273710D411yescharacteristic
296#14273709—21no—
297#14273709—21no—
298#14273709—21no—
299#14273706D411yescharacteristic
300#14273705—21no—
301#14273705—21no—
302#14273704—21no—
303#14273703C2311yescharacteristic
304#14273702—21no—
305#14273702—21no—
306#14273702—21no—
307#14273702—21no—
308#14273702—21no—
309#14273702—21no—
310#14273702—21no—
311#14273702—21no—
312#14273702—21no—
313#14273702C2311yescharacteristic
314#14273702C2311yescharacteristic
315#14273702C2311yescharacteristic
316#14273702C2311yescharacteristic
317#14273702C2311yescharacteristic
318#14273702C2311yescharacteristic
319#14273701—21no—
320#14273701—21no—
321#14273701—21no—
322#14273701D411yescharacteristic
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273700—21no—
329#14273700—21no—
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273699—21no—
336#14273699—21no—
337#14273698C2311yescharacteristic
338#14273697—21no—
339#14273697—21no—
340#14273697—21no—
341#14273697—21no—
342#14273697—21no—
343#14273697—21no—
344#14273697—21no—
345#14273697—21no—
346#14273697—21no—
347#14273697—21no—
348#14273695—21no—
349#14273695—21no—
350Q8×Dic59C2311yescharacteristic
351C4×Dic118—21no—
352C4×Dic118C2311yescharacteristic
353C4×Dic118C2311yescharacteristic
354C4×Dic118C2311yescharacteristic
355#14273692—21no—
356#14273692—21no—
357#14273692C2311yescharacteristic
358#14273692C2311yescharacteristic
359C4×D236—21no—
360C4×D236—21no—
361C4×D236C2311yescharacteristic
362C4×D236C2311yescharacteristic
363C4×D236C2311yescharacteristic
364D4×Dic59C2311yescharacteristic
365#14273689—21no—
366#14273689—21no—
367#14273689C2311yescharacteristic
368#14273689C2311yescharacteristic
369#14273689C2311yescharacteristic
370#14273689C2311yescharacteristic
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59C2311yescharacteristic
375C4×C22⋊D59C2311yescharacteristic
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380#14273686C2311yescharacteristic
381#14273685—21no—
382#14273685—21no—
383#14273685C2311yescharacteristic
384#14273684—21no—
385#14273684—21no—
386#14273684C2311yescharacteristic
387#14273684C2311yescharacteristic
388#14273683—21no—
389#14273683—21no—
390C2×Dic59⋊C4—21no—
391C4⋊C4×D59C2311yescharacteristic
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C42×D59—21no—
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399C4⋊(C59⋊C8)C2311yescharacteristic
400C4⋊(C59⋊C8)C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273647C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
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
436#14273638C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439C8×Dic59C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×Q16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×M16×C59C2311yescharacteristic
446C2×M16×C59C2311yescharacteristic
447#126×C59—21no—
448#126×C59—21no—
449#125×C59C2311yescharacteristic
450#125×C59C2311yescharacteristic
451#124×C59C2311yescharacteristic
452#124×C59C2311yescharacteristic
453#123×C59—21no—
454#123×C59—21no—
455C22⋊Q8×C59C2311yescharacteristic
456C22⋊Q8×C59C2311yescharacteristic
457#121×C59C2311yescharacteristic
458#121×C59C2311yescharacteristic
459C4×Q8×C59C2311yescharacteristic
460C4×Q8×C59C2311yescharacteristic
461C4×D4×C59—21no—
462C4×D4×C59—21no—
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465#117×C59—21no—
466#117×C59—21no—
467C2×C42×C59C2311yescharacteristic
468#107×C59C2311yescharacteristic
469#107×C59C2311yescharacteristic
470#106×C59C2311yescharacteristic
471#106×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475C4⋊C8×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C2×Q8×C59C2411yescharacteristic
489C2×Q8×C59C2411yescharacteristic
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59C2411yescharacteristic
493C2×D4×C59C2411yescharacteristic
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59C2×D411yescharacteristic
497C22×C4×C59C2×D411yescharacteristic
498C22×C4×C59C2411yescharacteristic
499C2×C22⋊D59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59C2×D411yescharacteristic
511C2×C22⋊D59C2×D411yescharacteristic
512C22×Dic59—21no—
513C22×Dic59—21no—
514#11745689—41no—
515#11745689—41no—
516#11745689—41no—
517#11745689—41no—
518Q8×D59—22no—
519Q8×D59—41no—
520#11745687—22no—
521#11745687—41no—
522D4×D59—41no—
523D4×D59—41no—
524D4×D59—41no—
525D4×D59—41no—
526D4×D59—82no—
527D4×D59—82no—
528#11745685—22no—
529#11745685—41no—
530#11745685—82no—
531C2×D236—21no—
532C2×D236—21no—
533C2×D236—21no—
534C2×D236—21no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—21no—
546C2×D236—21no—
547C2×D236—21no—
548C2×D236—21no—
549C2×D236—41no—
550C2×D236—41no—
551C2×D236—41no—
552C2×D236—41no—
553C2×D236—82no—
554C2×D236—82no—
555C2×D236—82no—
556C2×D236C2×D411yescharacteristic
557C2×D236C2411yescharacteristic
558C2×D236C2411yescharacteristic
559C2×D236C2411yescharacteristic
560C2×D236C2411yescharacteristic
561C2×D236C2411yescharacteristic
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59C2411yescharacteristic
574C2×C4×D59C2411yescharacteristic
575C2×Dic118—21no—
576C2×Dic118—21no—
577C2×Dic118C2×D411yescharacteristic
578C2×Dic118C2411yescharacteristic
579Q16×C59—41no—
580SD16×C59—41no—
581SD16×C59—41no—
582D8×C59—41no—
583M16×C59—41no—
584M16×C59—41no—
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C2×C8×C59C2411yescharacteristic
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59—21no—
593C4⋊C4×C59—21no—
594C4⋊C4×C59—21no—
595C4⋊C4×C59—21no—
596C4⋊C4×C59—21no—
597C4⋊C4×C59C2411yescharacteristic
598C4⋊C4×C59C2411yescharacteristic
599C4⋊C4×C59C2411yescharacteristic
600C4⋊C4×C59C2411yescharacteristic
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×C59—21no—
610C22⋊C4×C59—21no—
611C42×C59—21no—
612C42×C59—21no—
613C42×C59C2×D411yescharacteristic
614C42×C59C2×D411yescharacteristic
615C42×C59C2411yescharacteristic
616C42×C59C2411yescharacteristic
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59C2×D411yescharacteristic
621C22⋊Dic59C2×D411yescharacteristic
622#11745672—22no—
623#11745671—41no—
624#11745671—41no—
625#11745671—41no—
626#11745671—41no—
627#11745671—41no—
628#11745670—22no—
629#11745669—41no—
630#11745669—41no—
631#11745669—41no—
632#11745669—41no—
633#11745669—41no—
634(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659(C2×D59)⋊C4C2×D411yescharacteristic
660(C2×D59)⋊C4C2×D411yescharacteristic
661(C2×D59)⋊C4C2×D411yescharacteristic
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59C2×D411yescharacteristic
665C4⋊Dic59C2×D411yescharacteristic
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⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59C2411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697D472—41no—
698D472—41no—
699D472—41no—
700D472—41no—
701#11745660—22no—
702#11745660—22no—
703#11745660—22no—
704#11745660—22no—
705#11745659—41no—
706#11745659—41no—
707C8×D59—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59C22×D411yescharacteristic
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—42no—
718C22×D59—42no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59C22×D411yescharacteristic
730C22×D59C22×D411yescharacteristic
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—21no—
734Q8×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—42no—
740D4×C59—81no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—41no—
750C2×C4×C59—41no—
751C2×C4×C59—42no—
752C2×C4×C59—81no—
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C2511yescharacteristic
759C22⋊D59—41no—
760C22⋊D59—41no—
761C22⋊D59—42no—
762C22⋊D59—42no—
763C22⋊D59—81no—
764C22⋊D59—81no—
765C22⋊D59—81no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—42no—
776C2×Dic59—81no—
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783D236—21no—
784D236—21no—
785D236—21no—
786D236—21no—
787D236—21no—
788D236—21no—
789D236—21no—
790D236—21no—
791D236—21no—
792D236—21no—
793D236—41no—
794D236—42no—
795D236—42no—
796D236—81no—
797D236—81no—
798D236—81no—
799D236—81no—
800D236—81no—
801D236—81no—
802D236—81no—
803D236—81no—
804D236—81no—
805D236—81no—
806D236—81no—
807D236—81no—
808D236—81no—
809D236—81no—
810D236—81no—
811D236—81no—
812C4×D59—21no—
813C4×D59—21no—
814C4×D59—21no—
815C4×D59—21no—
816C4×D59—42no—
817C4×D59—42no—
818C4×D59—81no—
819C4×D59—81no—
820C4×D59—81no—
821C4×D59—81no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825C4×D59—81no—
826C4×D59—81no—
827Dic118—21no—
828Dic118—41no—
829Dic118—42no—
830Dic118—81no—
831Dic118H(5,𝔽2)12yes—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62081—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59C23×D411yescharacteristic
851C2×D59—21no—
852C2×D59—21no—
853C2×D59—21no—
854C2×D59—21no—
855C2×D59—21no—
856C2×D59—21no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—162no—
873C2×D59—162no—
874C2×D59—162no—
875C2×D59—162no—
876C4×C59—21no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—41no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59—41no—
886C4×C59—41no—
887C4×C59C2×H(5,𝔽2)11yescharacteristic
888C4×C59#58511yescharacteristic
889Dic59—21no—
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—22no—
894Dic59—21no—
895Dic59—21no—
896Dic59—41no—
897Dic59—41no—
898#3543—591no—
899#3524—591no—
900#3403—591no—
901#3399—591no—
902#3371—591no—
903#3368—591no—
904#3325—591no—
905#3323—591no—
906#3319—591no—
907#3318—591no—
908#3310—591no—
909#3309—591no—
910#3275—591no—
911#3274—591no—
912#3271—591no—
913#3268—591no—
914#3265—591no—
915#3265—591no—
916#3259—591no—
917#3257—591no—
918#3256D5911yescharacteristic, complemented
919#3224—591no—
920#3220—591no—
921#3217—591no—
922#3126—591no—
923#3119—591no—
924#3111—591no—
925#3045—591no—
926#3043—591no—
927#3038—591no—
928#2995—591no—
929C2×C59—41no—
930C2×C59—81no—
931C2×C59—81no—
932C2×C59#348811yescharacteristic
933C2×C59#358511yescharacteristic
934C2×C59#358511yescharacteristic
935D59—41no—
936D59—41no—
937D59—81no—
938D59—81no—
939D59—81no—
940D59—81no—
941D59—81no—
942C2×#137—591no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×#135—591no—
947C22×SD16—591no—
948#560—1181no—
949#560—1181no—
950#559—591no—
951#559—591no—
952#559—1181no—
953#557—591no—
954#555—591no—
955#555—1181no—
956#553—591no—
957#553—1181no—
958#552—591no—
959#552—1181no—
960#550—591no—
961#550—591no—
962#550—591no—
963#548—591no—
964#548—591no—
965#546—591no—
966#546—591no—
967#546—1181no—
968D42—591no—
969D42—591no—
970D42—591no—
971D42—1181no—
972#542—591no—
973#542—1181no—
974#540—591no—
975#540—591no—
976#540—591no—
977#540—1181no—
978#540—1181no—
979#535—591no—
980#535—591no—
981#535—1181no—
982#534—1181no—
983#534—1181no—
984C2×#127—591no—
985#529—591no—
986#529—1181no—
987#529—1181no—
988#529C2×D5911yescharacteristic
989#529C2×D5911yescharacteristic, complemented
990#520—591no—
991#519—591no—
992C4×#41—591no—
993#496—591no—
994#496—591no—
995#496—591no—
996#496—591no—
997#495—591no—
998#493—591no—
999#490—591no—
1000#490—591no—
1001#490—591no—
1002#489—591no—
1003#488—591no—
1004#486—591no—
1005#485—591no—
1006#482—591no—
1007#482—591no—
1008#482—591no—
1009#481—591no—
1010#480—591no—
1011#479—591no—
1012#479C2×D5911yescharacteristic, complemented
1013#479C2×D5911yescharacteristic, complemented
1014#478—591no—
1015#478—591no—
1016#478—591no—
1017#478C2×D5911yescharacteristic, complemented
1018#478C2×D5911yescharacteristic, complemented
1019#476—591no—
1020#474—591no—
1021#470C2×D5911yescharacteristic, complemented
1022#469—591no—
1023#469—591no—
1024#469—591no—
1025#469C2×D5911yescharacteristic
1026#468—591no—
1027#468C2×D5911yescharacteristic
1028#468C2×D5911yescharacteristic, complemented
1029#466—591no—
1030#466—591no—
1031#466—591no—
1032#465—591no—
1033#464—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464C2×D5911yescharacteristic, complemented
1038#464C2×D5911yescharacteristic, complemented
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463C2×D5911yescharacteristic, complemented
1044#463C2×D5911yescharacteristic, complemented
1045#460—591no—
1046#460—591no—
1047#460—591no—
1048#460—591no—
1049#460—591no—
1050#460—591no—
1051#460—591no—
1052#460—591no—
1053#460—591no—
1054#459—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459—591no—
1062#459—591no—
1063#452—591no—
1064#452—591no—
1065#450—591no—
1066#450—591no—
1067#450—591no—
1068#449—591no—
1069#449—591no—
1070#449—591no—
1071#449—591no—
1072#449—591no—
1073#449—591no—
1074#448—591no—
1075#448—591no—
1076#447—591no—
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#447—591no—
1081#446—591no—
1082#446—591no—
1083#442—591no—
1084#442—591no—
1085#441—591no—
1086#440—591no—
1087#440—591no—
1088#440—591no—
1089#440—591no—
1090#440—591no—
1091C4×SD16—591no—
1092C4×SD16—591no—
1093C4×SD16—591no—
1094C4×D8—591no—
1095#436—591no—
1096#436—591no—
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101#433—591no—
1102#433—591no—
1103#432—591no—
1104#424—591no—
1105#424—591no—
1106#423C2×D5911yescharacteristic, complemented
1107#418—591no—
1108#418—591no—
1109#418—591no—
1110#417—591no—
1111#416—591no—
1112C2×#102—591no—
1113C59#6208111yescharacteristic, complemented, Sylow
1114C2×#41—591no—
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—591no—
1118C2×#41—1181no—
1119C22×Q8—591no—
1120C22×D4—591no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—1181no—
1125C22×D4—1181no—
1126C22×D4—1181no—
1127C22×D4—1181no—
1128C22×D4—1181no—
1129#137—2362no—
1130AGL(1,ℤ/8)—2362no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133#135—2362no—
1134C2×Q16—591no—
1135C2×Q16C22×D5911yescharacteristic
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16—591no—
1145C2×SD16—591no—
1146C2×SD16—2362no—
1147C2×SD16C22×D5911yescharacteristic
1148C2×SD16C22×D5911yescharacteristic
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—591no—
1157C2×D8—591no—
1158C2×D8C22×D5911yescharacteristic
1159C2×M16—591no—
1160C2×M16—591no—
1161C2×M16C22×D5911yescharacteristic
1162C2×M16C22×D5911yescharacteristic
1163C22×C8—591no—
1164C22×C8—591no—
1165C4⋊Q8—591no—
1166C4⋊Q8—1181no—
1167#127—591no—
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—591no—
1173#127—591no—
1174#127—1181no—
1175#127—1181no—
1176#127—1181no—
1177#127—1181no—
1178#126—21no—
1179#126—21no—
1180#126—591no—
1181#126—591no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#125—591no—
1186#125—591no—
1187#125—1181no—
1188#125—1181no—
1189#125—1181no—
1190#125C22×D5911yescharacteristic
1191#125C22×D5911yescharacteristic
1192#124—591no—
1193#124—591no—
1194#124—591no—
1195#124—591no—
1196#124—1181no—
1197#124—1181no—
1198#124—1181no—
1199#124—1181no—
1200#124—1181no—
1201#124—1181no—
1202#124—1181no—
1203#124C22×D5911yescharacteristic
1204#124C22×D5911yescharacteristic
1205#123—21no—
1206#123—21no—
1207#123—591no—
1208#123—591no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—1181no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8C22×D5911yescharacteristic
1230C22⋊Q8C22×D5911yescharacteristic
1231#121—591no—
1232#121—591no—
1233#121—591no—
1234#121—591no—
1235#121—591no—
1236#121—591no—
1237#121—591no—
1238#121—591no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121C22×D5911yescharacteristic
1266#121C22×D5911yescharacteristic
1267#120—1181no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279C4×Q8—591no—
1280C4×Q8—591no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—591no—
1284C4×Q8—591no—
1285C4×Q8—1181no—
1286C4×Q8—1181no—
1287C4×Q8—1181no—
1288C4×Q8C22×D5911yescharacteristic
1289C4×Q8C22×D5911yescharacteristic
1290C4×D4—21no—
1291C4×D4—21no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—591no—
1300C4×D4—591no—
1301C4×D4—591no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4—1181no—
1311C4×D4—1181no—
1312C4×D4—1181no—
1313C4×D4C22×D5911yescharacteristic
1314C4×D4C22×D5911yescharacteristic
1315#117—21no—
1316#117—21no—
1317#117—591no—
1318#117—591no—
1319#117—591no—
1320#117—591no—
1321#117—1181no—
1322#117—1181no—
1323#117—1181no—
1324#117—1181no—
1325#117—1181no—
1326#117—1181no—
1327C2×C4⋊C4—591no—
1328C2×C4⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C42—1181no—
1332C2×C42C22×D5911yescharacteristic
1333#107—591no—
1334#107—591no—
1335#107C22×D5911yescharacteristic
1336#107C22×D5911yescharacteristic
1337#106—591no—
1338#106—591no—
1339#106C22×D5911yescharacteristic
1340#106C22×D5911yescharacteristic
1341C4⋊C8—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8C22×D5911yescharacteristic
1348C4⋊C8C22×D5911yescharacteristic
1349C4⋊C8C22×D5911yescharacteristic
1350C4⋊C8C22×D5911yescharacteristic
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103C22×D5911yescharacteristic
1356#103C22×D5911yescharacteristic
1357#103C22×D5911yescharacteristic
1358#103C22×D5911yescharacteristic
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#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382#102C22×D5911yescharacteristic
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8—591no—
1388C22⋊C8—591no—
1389#97—591no—
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393C4×C8—591no—
1394C4×C8—591no—
1395C24—1181no—
1396C24—1181no—
1397C24—1181no—
1398C24—1181no—
1399#41—1182no—
1400#41—1182no—
1401#41—4722no—
1402#41—2361no—
1403#41—2361no—
1404#41—2361no—
1405#41—2361no—
1406#41—2361no—
1407#41—2361no—
1408C2×Q8—591no—
1409C2×Q8—591no—
1410C2×Q8—1181no—
1411C2×Q8—1181no—
1412C2×Q8—1182no—
1413C2×Q8—2361no—
1414C2×Q8C23×D5911yescharacteristic
1415C2×Q8C23×D5911yescharacteristic
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—591no—
1419C2×D4—591no—
1420C2×D4—591no—
1421C2×D4—591no—
1422C2×D4—591no—
1423C2×D4—591no—
1424C2×D4—591no—
1425C2×D4—591no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—4722no—
1456C2×D4—4722no—
1457C2×D4—4722no—
1458C2×D4—4722no—
1459C2×D4—4722no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4—2361no—
1465C2×D4—2361no—
1466C2×D4—2361no—
1467C2×D4—2361no—
1468C2×D4C23×D5911yescharacteristic
1469C2×D4C23×D5911yescharacteristic
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—591no—
1473C22×C4—591no—
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×C4D4×D5911yescharacteristic
1488C22×C4D4×D5911yescharacteristic
1489C22×C4C23×D5911yescharacteristic
1490Q16—41no—
1491Q16—1182no—
1492SD16—41no—
1493SD16—41no—
1494SD16—1182no—
1495SD16—1182no—
1496SD16—1182no—
1497SD16—1182no—
1498SD16—1182no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502SD16—2361no—
1503SD16—2361no—
1504D8—41no—
1505D8—2361no—
1506D8—2361no—
1507D8—2361no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513D8—2361no—
1514M16—41no—
1515M16—41no—
1516M16—2361no—
1517M16—2361no—
1518C2×C8—591no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—2361no—
1523C2×C8—2361no—
1524C2×C8C23×D5911yescharacteristic
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C2×C8C23×D5911yescharacteristic
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—21no—
1533C4⋊C4—21no—
1534C4⋊C4—21no—
1535C4⋊C4—21no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—591no—
1542C4⋊C4—591no—
1543C4⋊C4—591no—
1544C4⋊C4—591no—
1545C4⋊C4—591no—
1546C4⋊C4—591no—
1547C4⋊C4—591no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4—1181no—
1558C4⋊C4C23×D5911yescharacteristic
1559C4⋊C4C23×D5911yescharacteristic
1560C4⋊C4C23×D5911yescharacteristic
1561C4⋊C4C23×D5911yescharacteristic
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—591no—
1573C22⋊C4—591no—
1574C22⋊C4—591no—
1575C22⋊C4—591no—
1576C22⋊C4—591no—
1577C22⋊C4—591no—
1578C22⋊C4—591no—
1579C22⋊C4—591no—
1580C22⋊C4—591no—
1581C22⋊C4—591no—
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⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C42—21no—
1606C42—21no—
1607C42—591no—
1608C42—591no—
1609C42—1181no—
1610C42—1181no—
1611C42—1181no—
1612C42—1181no—
1613C42—1181no—
1614C42—1181no—
1615C42—1181no—
1616C42D4×D5911yescharacteristic
1617C42D4×D5911yescharacteristic
1618C42C23×D5911yescharacteristic
1619C42C23×D5911yescharacteristic
1620C23—21no—
1621C23—21no—
1622C23—591no—
1623C23—591no—
1624C23—1181no—
1625C23—1181no—
1626C23—1181no—
1627C23—1181no—
1628C23—1181no—
1629C23—4721no—
1630C23—4721no—
1631C23—4721no—
1632C23—4721no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23—2362no—
1640C23—2362no—
1641C23C2×D4×D5911yescharacteristic
1642Q8—21no—
1643Q8—21no—
1644Q8—21no—
1645Q8—21no—
1646Q8—592no—
1647Q8—1181no—
1648Q8—4721no—
1649Q8—2361no—
1650Q8—2362no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—42no—
1656D4—81no—
1657D4—1181no—
1658D4—1181no—
1659D4—1181no—
1660D4—1181no—
1661D4—1181no—
1662D4—1181no—
1663D4—1181no—
1664D4—1181no—
1665D4—1181no—
1666D4—1181no—
1667D4—4721no—
1668D4—4721no—
1669D4—4721no—
1670D4—4721no—
1671D4—4721no—
1672D4—4721no—
1673D4—4721no—
1674D4—4721no—
1675D4—4721no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—4721no—
1687D4—4721no—
1688D4—4721no—
1689D4—4721no—
1690D4—4721no—
1691D4—4721no—
1692D4—2361no—
1693D4—2362no—
1694D4—2362no—
1695D4—2361no—
1696D4—2361no—
1697D4—2362no—
1698D4—2362no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—41no—
1708C2×C4—41no—
1709C2×C4—42no—
1710C2×C4—81no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—591no—
1714C2×C4—591no—
1715C2×C4—591no—
1716C2×C4—591no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
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—4721no—
1734C2×C4—2362no—
1735C2×C4—2362no—
1736C2×C4—2362no—
1737C2×C4C2×D4×D5911yescharacteristic
1738C2×C4C2×D4×D5911yescharacteristic
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C2×D4×D5911yescharacteristic
1742C2×C4C24×D5911yescharacteristic
1743C8—21no—
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—1181no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—1181no—
1761C22—1181no—
1762C22—1181no—
1763C22—1181no—
1764C22—1181no—
1765C22—1181no—
1766C22—9442no—
1767C22—9442no—
1768C22—9442no—
1769C22—9442no—
1770C22—2361no—
1771C22—2361no—
1772C22—2361no—
1773C22—2361no—
1774C22—2361no—
1775C22—2361no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22C22×D4×D5911yescharacteristic
1786C4—21no—
1787C4—21no—
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—1181no—
1798C4—1181no—
1799C4—1182no—
1800C4—1181no—
1801C4—1181no—
1802C4—1181no—
1803C4—1181no—
1804C4—2361no—
1805C4—2361no—
1806C4H(5,𝔽2)×D5911yescharacteristic
1807C4#1683823911yescharacteristic
1808C2—41no—
1809C2—81no—
1810C2—81no—
1811C2—4721no—
1812C2—4721no—
1813C2—4721no—
1814C2—4721no—
1815C2—4721no—
1816C2—2361no—
1817C2—2361no—
1818C2#2143776011yescharacteristic
1819C2#2143887311yescharacteristic
1820C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3256C2
socleC22×C59C23×D4
hypercenter#3256D59
hypocenterC59#62081
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3256

Complements

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

NH ≅ G/Ntype
1. #21438426C2semidirect
2. #21438195C2semidirect
3. #21437183C2semidirect
4. #21437133C2semidirect
5. #21436867C2semidirect
6. #21436828C2semidirect
7. #21436333C2semidirect
8. #21436318C2semidirect
9. #21436247C2semidirect
10. #21436234C2semidirect
11. #21436112C2semidirect
12. #21436099C2semidirect
13. #21435724C2semidirect
14. #21435713C2semidirect
15. #21435687C2semidirect
16. #21435643C2semidirect
17. #21435598C2semidirect
18. #21435597C2semidirect
19. #21435534C2semidirect
20. #21435513C2semidirect
21. #21435197C2semidirect
22. #21435143C2semidirect
23. #21435111C2semidirect
24. #21434389C2semidirect
25. #21434300C2semidirect
26. #21434199C2semidirect
27. #21433636C2semidirect
28. #21433615C2semidirect
29. #21433577C2semidirect
30. #21433263C2semidirect
31. C59×#3256C2semidirect
32. C2×#14273759C22semidirect
33. C2×#14273755C22semidirect
34. C2×#14273755C22semidirect
35. C2×#14273751C22semidirect
36. C2×#14273748C22semidirect
37. C2×SD16×D59C22semidirect
42. #16838134C22semidirect
43. #16838129C22semidirect
44. #16838116C22semidirect
46. #16838105C22semidirect
48. #16838086C22semidirect
52. #16838070C22semidirect
53. #16838062C22semidirect
54. #16838060C22semidirect
62. #16838024C22semidirect
68. #16838003C22semidirect
78. #16837881C22semidirect
79. #16837878C22semidirect
80. C4×#11745685C22semidirect
82. #16837792C22semidirect
83. #16837788C22semidirect
84. #16837788C22semidirect
85. #16837787C22semidirect
86. #16837777C22semidirect
88. #16837768C22semidirect
89. #16837765C22semidirect
90. #16837763C22semidirect
91. #16837758C22semidirect
92. #16837747C22semidirect
93. #16837740C22semidirect
94. #16837729C22semidirect
95. #16837728C22semidirect
97. #16837722C22semidirect
98. #16837717C22semidirect
99. #16837706C22semidirect
100. #16837705C22semidirect
101. #16837701C22semidirect
102. #16837699C22semidirect
103. #16837691C22semidirect
104. #16837681C22semidirect
105. #16837656C22semidirect
106. #16837656C22semidirect
107. #16837654C22semidirect
108. #16837651C22semidirect
109. #16837639C22semidirect
110. #16837639C22semidirect
111. #16837637C22semidirect
112. #16837634C22semidirect
113. #16837627C22semidirect
114. #16837627C22semidirect
115. #16837626C22semidirect
116. #16837621C22semidirect
117. #16837620C22semidirect
118. #16837620C22semidirect
119. #16837619C22semidirect
120. #16837614C22semidirect
122. #16837603C22semidirect
123. #16837603C22semidirect
124. #16837603C22semidirect
125. #16837602C22semidirect
126. #16837602C22semidirect
127. #16837601C22semidirect
128. #16837601C22semidirect
129. #16837600C22semidirect
131. #16837598C22semidirect
132. #16837598C22semidirect
133. #16837598C22semidirect
134. #16837597C22semidirect
135. #16837597C22semidirect
136. #16837596C22semidirect
137. #16837596C22semidirect
138. #16837595C22semidirect
139. #16837563C22semidirect
140. #16837562C22semidirect
141. #16837552C22semidirect
142. #16837552C22semidirect
143. #16837551C22semidirect
144. #16837550C22semidirect
145. #16837550C22semidirect
146. #16837548C22semidirect
147. #16837548C22semidirect
148. #16837546C22semidirect
150. #16837542C22semidirect
151. #16837542C22semidirect
152. #16837537C22semidirect
153. #16837537C22semidirect
154. #16837535C22semidirect
155. #16837535C22semidirect
156. #16837534C22semidirect
157. #16837531C22semidirect
158. #16837531C22semidirect
159. #16837512C22semidirect
160. #16837511C22semidirect
161. #16837507C22semidirect
162. #16837505C22semidirect
163. #16837502C22semidirect
164. #16837501C22semidirect
165. #16837501C22semidirect
166. #16837500C22semidirect
167. #16837489C22semidirect
168. #16837489C22semidirect
169. #16837487C22semidirect
170. #16837482C22semidirect
171. #16837478C22semidirect
172. #16837478C22semidirect
173. #16837472C22semidirect
174. #16837472C22semidirect
175. #16837471C22semidirect
176. #16837471C22semidirect
177. #16837462C22semidirect
178. #16837462C22semidirect
179. #16837459C22semidirect
180. #16837427C22semidirect
181. #16837427C22semidirect
182. #16837408C22semidirect
183. #16837408C22semidirect
184. #16837405C22semidirect
185. #16837402C22semidirect
186. #16837397C22semidirect
187. #102×D59C22semidirect
189. C59×#529C22semidirect
190. C59×#479C22semidirect
191. C59×#479C22semidirect
192. C59×#478C22semidirect
193. C59×#478C22semidirect
194. C59×#470C22semidirect
197. C59×#468C22semidirect
198. C59×#464C22semidirect
199. C59×#464C22semidirect
200. C59×#463C22semidirect
201. C59×#463C22semidirect
202. C59×#423C22semidirect
918. #3256D59semidirect
989. #529C2×D59semidirect
1012. #479C2×D59semidirect
1013. #479C2×D59semidirect
1017. #478C2×D59semidirect
1018. #478C2×D59semidirect
1021. #470C2×D59semidirect
1028. #468C2×D59semidirect
1037. #464C2×D59semidirect
1038. #464C2×D59semidirect
1043. #463C2×D59semidirect
1044. #463C2×D59semidirect
1106. #423C2×D59semidirect
1113. C59#62081semidirect

Maximal subgroups

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

subgroupindex
#214384262
#214381952
#214371832
#214371332
#214368672
#214368282
#214363332
#214363182
#214362472
#214362342
#214361122
#214360992
#214357242
#214357132
#214356872
#214356432
#214355982
#214355972
#214355342
#214355132
#214351972
#214351432
#214351112
#214343892
#214343002
#214341992
#214336362
#214336152
#214335772
#214332632
C59×#32562
#6208159