Finite Group Databasebeta

← #29485899

Subgroups — #29485899

Order 15104.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438748C211yesmaximal, characteristic, complemented
2#21438039C211yesmaximal, characteristic, complemented
3#21437050C211yesmaximal, characteristic, complemented
4#21436864C211yesmaximal, characteristic, complemented
5#21436758C211yesmaximal, characteristic, complemented
6#21436690C211yesmaximal, characteristic, complemented
7#21436655C211yesmaximal, characteristic, complemented
8#21436653C211yesmaximal, characteristic, complemented
9#21436633C211yesmaximal, characteristic, complemented
10#21436533C211yesmaximal, characteristic, complemented
11#21436497C211yesmaximal, characteristic, complemented
12#21436329C211yesmaximal, characteristic, complemented
13#21436317C211yesmaximal, characteristic, complemented
14#21436294C211yesmaximal, characteristic, complemented
15#21436249C211yesmaximal, characteristic, complemented
16#21436234C211yesmaximal, characteristic, complemented
17#21435936C211yesmaximal, characteristic, complemented
18#21435559C211yesmaximal, characteristic, complemented
19#21435513C211yesmaximal, characteristic, complemented
20#21435499C211yesmaximal, characteristic, complemented
21#21435397C211yesmaximal, characteristic, complemented
22#21435352C211yesmaximal, characteristic, complemented
23#21435276C211yesmaximal, characteristic, complemented
24#21434369C211yesmaximal, characteristic, complemented
25#21434286C211yesmaximal, characteristic, complemented
26#21434147C211yesmaximal, characteristic, complemented
27#21433948C211yesmaximal, characteristic, complemented
28#21433920C211yesmaximal, characteristic, complemented
29#21433891C211yesmaximal, characteristic, complemented
30#21433244C211yesmaximal, characteristic, complemented
31C59×#3381C211yesmaximal, characteristic, complemented
32#16838151—21no—
33#16838150—21no—
34#16838137C2211yescharacteristic
35#16838125C2211yescharacteristic
36#16838124—21no—
37#16838118C2211yescharacteristic, complemented
38#16838112C2211yescharacteristic, complemented
39#16838105C2211yescharacteristic
40#16838105C2211yescharacteristic
41#16838105C2211yescharacteristic, complemented
42#16838100—21no—
43#16838093C2211yescharacteristic, complemented
44#16838093C2211yescharacteristic, complemented
45#16838090C2211yescharacteristic
46#16838084—21no—
47#16838079—21no—
48#16838079—21no—
49#16838055C2211yescharacteristic
50#16838047C2211yescharacteristic
51#16838047C2211yescharacteristic
52#16838043—21no—
53D4×D236C2211yescharacteristic
54#16838032C2211yescharacteristic, complemented
55#16838029C2211yescharacteristic, complemented
56#16838026—21no—
57#16838026C2211yescharacteristic
58#16838024—21no—
59#16838024C2211yescharacteristic, complemented
60#16838024C2211yescharacteristic, complemented
61#16838011—21no—
62#16838008C2211yescharacteristic
63#16838001—21no—
64#16838000—21no—
65#16837992—21no—
66#16837958C2211yescharacteristic, complemented
67#16837939C2211yescharacteristic
68#16837939C2211yescharacteristic, complemented
69#16837937C2211yescharacteristic
70#16837915—21no—
71C2×#14273712—21no—
72#16837881C2211yescharacteristic
73#16837874C2211yescharacteristic
74C4×D4×D59C2211yescharacteristic
75#16837812C2211yescharacteristic, complemented
76#16837808C2211yescharacteristic, complemented
77#16837801C2211yescharacteristic, complemented
78#16837768C2211yescharacteristic
79#16837764C2211yescharacteristic, complemented
80#16837759C2211yescharacteristic, complemented
81#16837757C2211yescharacteristic, complemented
82#16837757C2211yescharacteristic, complemented
83#16837749C2211yescharacteristic
84#16837746C2211yescharacteristic, complemented
85#16837746C2211yescharacteristic, complemented
86#16837745C2211yescharacteristic, complemented
87#16837742C2211yescharacteristic, complemented
88#16837736C2211yescharacteristic, complemented
89#16837734C2211yescharacteristic, complemented
90#16837731C2211yescharacteristic, complemented
91#16837729C2211yescharacteristic
92#16837729C2211yescharacteristic, complemented
93#16837728C2211yescharacteristic
94#16837728C2211yescharacteristic
95#16837728C2211yescharacteristic, complemented
96#16837728C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic
98#16837722C2211yescharacteristic, complemented
99#16837722C2211yescharacteristic, complemented
100#16837722C2211yescharacteristic, complemented
101#16837717C2211yescharacteristic, complemented
102#16837712C2211yescharacteristic, complemented
103#16837706C2211yescharacteristic, complemented
104#16837705C2211yescharacteristic, complemented
105#16837703C2211yescharacteristic, complemented
106#16837703C2211yescharacteristic, complemented
107#16837702C2211yescharacteristic
108#16837702C2211yescharacteristic
109#16837701C2211yescharacteristic, complemented
110#16837700C2211yescharacteristic
111#16837699C2211yescharacteristic, complemented
112#16837699C2211yescharacteristic, complemented
113#16837699C2211yescharacteristic, complemented
114#16837698C2211yescharacteristic, complemented
115#16837696C2211yescharacteristic, complemented
116#16837691C2211yescharacteristic, complemented
117#16837691C2211yescharacteristic, complemented
118#16837690C2211yescharacteristic
119#16837689C2211yescharacteristic, complemented
120#16837686C2211yescharacteristic, complemented
121#16837682C2211yescharacteristic
122#16837681C2211yescharacteristic, complemented
123#16837681C2211yescharacteristic, complemented
124#16837680C2211yescharacteristic
125#16837679C2211yescharacteristic, complemented
126#16837659C2211yescharacteristic, complemented
127#16837656C2211yescharacteristic
128#16837656C2211yescharacteristic, complemented
129#16837651C2211yescharacteristic
130#16837651C2211yescharacteristic
131#16837651C2211yescharacteristic, complemented
132#16837649C2211yescharacteristic, complemented
133#16837649C2211yescharacteristic, complemented
134#16837642C2211yescharacteristic, complemented
135#16837639C2211yescharacteristic
136#16837639C2211yescharacteristic, complemented
137#16837634C2211yescharacteristic, complemented
138#16837627C2211yescharacteristic, complemented
139#16837624C2211yescharacteristic, complemented
140#16837624C2211yescharacteristic, complemented
141#16837620C2211yescharacteristic, complemented
142#16837620C2211yescharacteristic, complemented
143#16837619C2211yescharacteristic
144#16837618C2211yescharacteristic, complemented
145#16837618C2211yescharacteristic, complemented
146#16837602C2211yescharacteristic
147#16837598C2211yescharacteristic
148#16837561C2211yescharacteristic
149#16837551C2211yescharacteristic
150#16837551C2211yescharacteristic
151#16837548C2211yescharacteristic
152#16837537C2211yescharacteristic
153#16837537C2211yescharacteristic
154#16837533C2211yescharacteristic, complemented
155#16837512C2211yescharacteristic
156#16837512C2211yescharacteristic
157#16837507C2211yescharacteristic, complemented
158#16837500C2211yescharacteristic, complemented
159C4×#11745660C2211yescharacteristic, complemented
160C4×#11745671C2211yescharacteristic, complemented
161C4×D472C2211yescharacteristic, complemented
162C4×D472C2211yescharacteristic, complemented
163C4×#11745669C2211yescharacteristic
164#16837481C2211yescharacteristic
165#16837481C2211yescharacteristic, complemented
166#16837479C2211yescharacteristic, complemented
167#16837472C2211yescharacteristic
168#16837472C2211yescharacteristic, complemented
169C8×D236C2211yescharacteristic, complemented
170#16837461C2211yescharacteristic, complemented
171#16837461C2211yescharacteristic, complemented
172#16837453C2211yescharacteristic, complemented
173#16837443C2211yescharacteristic, complemented
174#16837443C2211yescharacteristic, complemented
175#16837441C2211yescharacteristic, complemented
176#16837441C2211yescharacteristic, complemented
177#16837439C2211yescharacteristic, complemented
178#107×D59C2211yescharacteristic, complemented
179#16837427C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837405C2211yescharacteristic
183#16837405C2211yescharacteristic
184#16837405C2211yescharacteristic
185#16837400C2211yescharacteristic
186#16837395C2211yescharacteristic
187#102×D59C2211yescharacteristic
188C59×#557C2211yescharacteristic, complemented
189C59×#554C2211yescharacteristic
190C59×#499C2211yescharacteristic, complemented
191C59×#499C2211yescharacteristic, complemented
192C59×#498C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#479C2211yescharacteristic, complemented
195C59×#478C2211yescharacteristic
196C59×#478C2211yescharacteristic
197C59×#477C2211yescharacteristic, complemented
198C59×#474C2211yescharacteristic
199C8×Q8×C59C2211yescharacteristic, complemented
200C4×SD16×C59C2211yescharacteristic
201C4×SD16×C59C2211yescharacteristic
202C4×SD16×C59C2211yescharacteristic
203C2×#11745689—21no—
204C2×#11745687C2311yescharacteristic
205C22×D236—21no—
206C2×D4×D59C2311yescharacteristic
207C2×D4×D59C2311yescharacteristic
208C22×C4×D59—21no—
209C2×#11745672C2311yescharacteristic
210C2×#11745660C2311yescharacteristic
211C2×#11745671C2311yescharacteristic
212C2×#11745671C2311yescharacteristic
213C2×D472C2311yescharacteristic
214C2×D472C2311yescharacteristic
215C2×#11745669C2311yescharacteristic
216C2×#11745659C2311yescharacteristic
217C2×#11745659C2311yescharacteristic
218C2×#11745659C2311yescharacteristic
219C2×#11745659C2311yescharacteristic
220C2×C8×D59C2311yescharacteristic
221C2×C8×D59C2311yescharacteristic
222#14273727C2311yescharacteristic
223#14273726—21no—
224#14273726C2311yescharacteristic
225#14273726C2311yescharacteristic
226#14273725—21no—
227#14273724C2311yescharacteristic
228#14273722—21no—
229#14273722—21no—
230#14273722—21no—
231#14273722—21no—
232#14273722—21no—
233#14273722—21no—
234#14273722—21no—
235#14273722—21no—
236#14273722—21no—
237#14273722D411yescharacteristic
238#14273722D411yescharacteristic
239#14273721—21no—
240#14273721—21no—
241#14273721—21no—
242#14273721—21no—
243#14273719C2311yescharacteristic
244#14273719C2311yescharacteristic
245#14273718—21no—
246#14273718D411yescharacteristic
247#14273718C2311yescharacteristic
248#14273717—21no—
249#14273717—21no—
250#14273717—21no—
251#14273717—21no—
252#14273716—21no—
253#14273716—21no—
254#14273716—21no—
255#14273716—21no—
256#14273716D411yescharacteristic
257#14273716C2311yescharacteristic
258#14273715—21no—
259#14273715—21no—
260#14273715—21no—
261#14273715C2311yescharacteristic
262#14273715C2311yescharacteristic
263#14273712—21no—
264#14273712—21no—
265#14273712—21no—
266#14273712—21no—
267#14273712—21no—
268#14273712—21no—
269#14273712—21no—
270#14273712—21no—
271#14273712—21no—
272#14273712—21no—
273#14273712—21no—
274#14273712—21no—
275#14273712—21no—
276#14273712—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712D411yescharacteristic
281#14273712D411yescharacteristic
282#14273711—21no—
283#14273711—21no—
284#14273707—21no—
285#14273707C2311yescharacteristic
286#14273707C2311yescharacteristic
287#14273705—21no—
288#14273705—21no—
289#14273705—21no—
290#14273705—21no—
291#14273705—21no—
292#14273705—21no—
293#14273705—21no—
294#14273705—21no—
295#14273703—21no—
296#14273703—21no—
297#14273703—21no—
298#14273703—21no—
299#14273703D411yescharacteristic
300#14273703C2311yescharacteristic
301#14273703C2311yescharacteristic
302#14273703C2311yescharacteristic
303#14273702—21no—
304#14273702—21no—
305#14273702—21no—
306#14273702—21no—
307#14273702—21no—
308#14273702—21no—
309#14273702D411yescharacteristic
310#14273702C2311yescharacteristic
311#14273702C2311yescharacteristic
312#14273702C2311yescharacteristic
313#14273702C2311yescharacteristic
314#14273702C2311yescharacteristic
315#14273702C2311yescharacteristic
316#14273702C2311yescharacteristic
317#14273701—21no—
318#14273701—21no—
319#14273701—21no—
320#14273697—21no—
321#14273697—21no—
322#14273697—21no—
323#14273697—21no—
324C4×Dic118—21no—
325C4×Dic118C2311yescharacteristic
326#14273692—21no—
327#14273692—21no—
328#14273692C2311yescharacteristic
329C4×D236—21no—
330C4×D236C2311yescharacteristic
331C4×D236C2311yescharacteristic
332C4×D236C2311yescharacteristic
333C4×D236C2311yescharacteristic
334C4×D236C2311yescharacteristic
335C4×D236C2311yescharacteristic
336C4×D236C2311yescharacteristic
337C4×D236C2311yescharacteristic
338D4×Dic59C2311yescharacteristic
339#14273689—21no—
340#14273689—21no—
341#14273689—21no—
342#14273689—21no—
343#14273689—21no—
344#14273689C2311yescharacteristic
345#14273689C2311yescharacteristic
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349(C22⋊D59)⋊C4—21no—
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352#14273685—21no—
353#14273685—21no—
354#14273685—21no—
355#14273685C2311yescharacteristic
356#14273685C2311yescharacteristic
357#14273685C2311yescharacteristic
358#14273685C2311yescharacteristic
359#14273685C2311yescharacteristic
360#14273684—21no—
361#14273684—21no—
362#14273684—21no—
363#14273684C2311yescharacteristic
364#14273684C2311yescharacteristic
365#14273683—21no—
366C2×Dic59⋊C4—21no—
367C4⋊C4×D59—21no—
368C4⋊C4×D59C2311yescharacteristic
369C4⋊C4×D59C2311yescharacteristic
370C4⋊C4×D59C2311yescharacteristic
371C4⋊C4×D59C2311yescharacteristic
372C2×(C2×D59)⋊C4—21no—
373C2×(C2×D59)⋊C4—21no—
374C2×(C2×D59)⋊C4—21no—
375C22⋊C4×D59—21no—
376C22⋊C4×D59—21no—
377C42×D59C2311yescharacteristic
378#14273661C2311yescharacteristic
379#14273661C2311yescharacteristic
380#14273660C2311yescharacteristic
381#14273660C2311yescharacteristic
382#14273660C2311yescharacteristic
383#14273660C2311yescharacteristic
384#14273660C2311yescharacteristic
385#14273660C2311yescharacteristic
386#14273659C2311yescharacteristic
387#14273658C2311yescharacteristic
388#14273658C2311yescharacteristic
389#14273658C2311yescharacteristic
390#14273658C2311yescharacteristic
391#14273658C2311yescharacteristic
392#14273658C2311yescharacteristic
393C4⋊(C59⋊C8)C2311yescharacteristic
394C4⋊(C59⋊C8)C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400#14273652C2311yescharacteristic
401#14273652C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273651C2311yescharacteristic
404#14273650C2311yescharacteristic
405#14273650C2311yescharacteristic
406#14273650C2311yescharacteristic
407#14273649C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273648C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273647C2311yescharacteristic
418#14273647C2311yescharacteristic
419#14273647C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432#14273638C2311yescharacteristic
433#14273638C2311yescharacteristic
434C4×C59⋊C8C2311yescharacteristic
435C2×SD16×C59C2311yescharacteristic
436C4⋊Q8×C59—21no—
437C4⋊Q8×C59C2311yescharacteristic
438C4⋊Q8×C59C2311yescharacteristic
439#125×C59—21no—
440#125×C59—21no—
441#125×C59C2311yescharacteristic
442#125×C59C2311yescharacteristic
443#125×C59C2311yescharacteristic
444#125×C59C2311yescharacteristic
445C22⋊Q8×C59—21no—
446C22⋊Q8×C59—21no—
447C22⋊Q8×C59—21no—
448C4×Q8×C59—21no—
449C4×Q8×C59C2311yescharacteristic
450C4×Q8×C59C2311yescharacteristic
451C4×Q8×C59C2311yescharacteristic
452C4×Q8×C59C2311yescharacteristic
453C4×D4×C59C2311yescharacteristic
454C4×D4×C59C2311yescharacteristic
455C4×D4×C59C2311yescharacteristic
456C2×C4⋊C4×C59—21no—
457#107×C59C2311yescharacteristic
458#107×C59C2311yescharacteristic
459#107×C59C2311yescharacteristic
460#107×C59C2311yescharacteristic
461#106×C59C2311yescharacteristic
462#106×C59C2311yescharacteristic
463#106×C59C2311yescharacteristic
464#106×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466C4⋊C8×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475C4×C8×C59C2311yescharacteristic
476C4×C8×C59C2311yescharacteristic
477C4×C8×C59C2311yescharacteristic
478C23×D59—21no—
479C23×D59—21no—
480C2×Q8×C59—21no—
481C2×Q8×C59—21no—
482C2×Q8×C59C2×D411yescharacteristic
483C2×Q8×C59C2411yescharacteristic
484C2×D4×C59C2411yescharacteristic
485C22×C4×C59—21no—
486C22×C4×C59—21no—
487C22×C4×C59—21no—
488C2×C22⋊D59—21no—
489C2×C22⋊D59—21no—
490C2×C22⋊D59—21no—
491C22×Dic59—21no—
492C22×Dic59—21no—
493#11745689—82no—
494#11745687—22no—
495#11745687—41no—
496D4×D59—22no—
497D4×D59—22no—
498D4×D59—41no—
499D4×D59—41no—
500C2×D236—21no—
501C2×D236—21no—
502C2×D236—21no—
503C2×D236—21no—
504C2×D236—21no—
505C2×D236—21no—
506C2×D236—21no—
507C2×D236—21no—
508C2×D236—21no—
509C2×D236—82no—
510C2×D236C2×D411yescharacteristic
511C2×D236C2×D411yescharacteristic
512C2×D236C2×D411yescharacteristic
513C2×D236C2411yescharacteristic
514C2×D236C2411yescharacteristic
515C2×D236C2411yescharacteristic
516C2×C4×D59—21no—
517C2×C4×D59—21no—
518C2×C4×D59—21no—
519C2×C4×D59—21no—
520C2×C4×D59—21no—
521C2×C4×D59—21no—
522C2×C4×D59—21no—
523C2×C4×D59—21no—
524C2×C4×D59—21no—
525C2×C4×D59—21no—
526C2×C4×D59—21no—
527C2×C4×D59—82no—
528C2×C4×D59C2×D411yescharacteristic
529C2×C4×D59C2×D411yescharacteristic
530C2×C4×D59C2411yescharacteristic
531C2×C4×D59C2411yescharacteristic
532C2×C4×D59C2411yescharacteristic
533C2×Dic118—21no—
534C2×Dic118—21no—
535C2×Dic118—21no—
536C2×Dic118C2411yescharacteristic
537SD16×C59—22no—
538C2×C8×C59C2411yescharacteristic
539C2×C8×C59C2411yescharacteristic
540C2×C8×C59C2411yescharacteristic
541C2×C8×C59C2411yescharacteristic
542C4⋊C4×C59—21no—
543C4⋊C4×C59—21no—
544C4⋊C4×C59—21no—
545C4⋊C4×C59—21no—
546C4⋊C4×C59—21no—
547C4⋊C4×C59—21no—
548C4⋊C4×C59—21no—
549C4⋊C4×C59—21no—
550C4⋊C4×C59—21no—
551C4⋊C4×C59—21no—
552C4⋊C4×C59—21no—
553C4⋊C4×C59—21no—
554C4⋊C4×C59—21no—
555C4⋊C4×C59C2×D411yescharacteristic
556C4⋊C4×C59C2×D411yescharacteristic
557C4⋊C4×C59C2×D411yescharacteristic
558C4⋊C4×C59C2411yescharacteristic
559C4⋊C4×C59C2411yescharacteristic
560C4⋊C4×C59C2411yescharacteristic
561C4⋊C4×C59C2411yescharacteristic
562C4⋊C4×C59C2411yescharacteristic
563C4⋊C4×C59C2411yescharacteristic
564C22⋊C4×C59—21no—
565C22⋊C4×C59—21no—
566C22⋊C4×C59—21no—
567C42×C59—21no—
568C42×C59—21no—
569C42×C59—21no—
570C42×C59C2411yescharacteristic
571C42×C59C2411yescharacteristic
572C42×C59C2411yescharacteristic
573C22⋊Dic59—21no—
574#11745672—41no—
575#11745671—41no—
576#11745671—41no—
577#11745669—22no—
578(C2×D59)⋊C4—21no—
579(C2×D59)⋊C4—21no—
580(C2×D59)⋊C4—21no—
581(C2×D59)⋊C4—21no—
582(C2×D59)⋊C4—21no—
583(C2×D59)⋊C4—21no—
584(C2×D59)⋊C4—21no—
585(C2×D59)⋊C4—21no—
586(C2×D59)⋊C4—21no—
587(C2×D59)⋊C4—21no—
588(C2×D59)⋊C4—21no—
589(C2×D59)⋊C4—21no—
590(C2×D59)⋊C4—21no—
591(C2×D59)⋊C4—21no—
592(C2×D59)⋊C4—21no—
593(C2×D59)⋊C4—21no—
594(C2×D59)⋊C4—21no—
595(C2×D59)⋊C4—21no—
596(C2×D59)⋊C4—21no—
597(C2×D59)⋊C4—21no—
598(C2×D59)⋊C4—21no—
599(C2×D59)⋊C4—21no—
600(C2×D59)⋊C4—21no—
601(C2×D59)⋊C4—21no—
602(C2×D59)⋊C4—21no—
603(C2×D59)⋊C4—21no—
604(C2×D59)⋊C4—21no—
605(C2×D59)⋊C4—21no—
606(C2×D59)⋊C4—21no—
607(C2×D59)⋊C4—21no—
608(C2×D59)⋊C4C2×D411yescharacteristic
609(C2×D59)⋊C4C2×D411yescharacteristic
610(C2×D59)⋊C4C2×D411yescharacteristic
611(C2×D59)⋊C4C2×D411yescharacteristic
612(C2×D59)⋊C4C2×D411yescharacteristic
613(C2×D59)⋊C4C2×D411yescharacteristic
614(C2×D59)⋊C4C2×D411yescharacteristic
615(C2×D59)⋊C4C2×D411yescharacteristic
616(C2×D59)⋊C4C2×D411yescharacteristic
617(C2×D59)⋊C4C2×D411yescharacteristic
618C4⋊Dic59—21no—
619C4⋊Dic59—21no—
620C4⋊Dic59—21no—
621C4⋊Dic59—21no—
622C4⋊Dic59C2×D411yescharacteristic
623C4⋊Dic59C2×D411yescharacteristic
624C4⋊Dic59C2×D411yescharacteristic
625C4⋊Dic59C2411yescharacteristic
626C4⋊Dic59C2411yescharacteristic
627C4⋊Dic59C2411yescharacteristic
628C4⋊Dic59C2411yescharacteristic
629Dic59⋊C4—21no—
630Dic59⋊C4—21no—
631Dic59⋊C4—21no—
632Dic59⋊C4—21no—
633Dic59⋊C4—21no—
634Dic59⋊C4—21no—
635Dic59⋊C4—21no—
636Dic59⋊C4—21no—
637Dic59⋊C4—21no—
638Dic59⋊C4—21no—
639Dic59⋊C4—21no—
640Dic59⋊C4—21no—
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4—21no—
644Dic59⋊C4—21no—
645Dic59⋊C4C2×D411yescharacteristic
646Dic59⋊C4C2×D411yescharacteristic
647Dic59⋊C4C2×D411yescharacteristic
648Dic59⋊C4C2×D411yescharacteristic
649C4×Dic59—21no—
650C4×Dic59—21no—
651C4×Dic59—21no—
652C4×Dic59—21no—
653C4×Dic59—21no—
654C4×Dic59—21no—
655C4×Dic59—21no—
656C4×Dic59C2×D411yescharacteristic
657C4×Dic59C2×D411yescharacteristic
658C4×Dic59C2411yescharacteristic
659C2×C59⋊C8C2411yescharacteristic
660C2×C59⋊C8C2411yescharacteristic
661C2×C59⋊C8C2411yescharacteristic
662C2×C59⋊C8C2411yescharacteristic
663D472—41no—
664D472—41no—
665#11745660—41no—
666#11745659—41no—
667#11745659—41no—
668#11745659—41no—
669#11745659—41no—
670C8×D59—41no—
671C8×D59—41no—
672C23×C59—21no—
673C22×D59—21no—
674C22×D59—21no—
675C22×D59—21no—
676C22×D59—42no—
677C22×D59—42no—
678C22×D59—42no—
679C22×D59—81no—
680C22×D59—81no—
681C22×D59—81no—
682C22×D59C22×D411yescharacteristic
683C22×D59C22×D411yescharacteristic
684C22×D59C22×D411yescharacteristic
685Q8×C59—21no—
686Q8×C59—21no—
687Q8×C59—41no—
688Q8×C59—81no—
689Q8×C59—81no—
690D4×C59—21no—
691D4×C592−1+412yes—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—81no—
700C2×C4×C59—81no—
701C2×C4×C59—81no—
702C2×C4×C59C22×D411yescharacteristic
703C2×C4×C59C22×D411yescharacteristic
704C2×C4×C59C22×D411yescharacteristic
705C2×C4×C59C22×D411yescharacteristic
706C2×C4×C59C22×D411yescharacteristic
707C2×C4×C59C22×D411yescharacteristic
708C2×C4×C59C2511yescharacteristic
709C22⋊D59—42no—
710C22⋊D59—42no—
711C22⋊D59—42no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—42no—
718C2×Dic59—81no—
719C2×Dic59C22×D411yescharacteristic
720C2×Dic59C22×D411yescharacteristic
721C2×Dic59C22×D411yescharacteristic
722C2×Dic59C22×D411yescharacteristic
723C2×Dic59C22×D411yescharacteristic
724D236—21no—
725D236—21no—
726D236—21no—
727D236—21no—
728D236—21no—
729D236—21no—
730D236—41no—
731D236—41no—
732D236—41no—
733D236—42no—
734D236—81no—
735D236—81no—
736D236—81no—
737D236—81no—
738D236—81no—
739D236—81no—
740D236—81no—
741D236—81no—
742C4×D59—21no—
743C4×D59—21no—
744C4×D59—21no—
745C4×D59—21no—
746C4×D59—21no—
747C4×D59—21no—
748C4×D59—41no—
749C4×D59—41no—
750C4×D59—42no—
751C4×D59—81no—
752C4×D59—81no—
753C4×D59—81no—
754C4×D59—81no—
755C4×D59—81no—
756C4×D59—81no—
757C4×D59—81no—
758C4×D59—81no—
759C4×D59—81no—
760C4×D59—81no—
761Dic118—21no—
762Dic118—21no—
763Dic118—81no—
764Dic118—81no—
765Dic118—81no—
766C8×C59—21no—
767C8×C59—21no—
768C8×C59—21no—
769C8×C59—21no—
770C59⋊C8—21no—
771C59⋊C8—21no—
772C59⋊C8—21no—
773C59⋊C8—21no—
774#62175—591nomaximal, Sylow
775C22×C59—22no—
776C22×C59—41no—
777C22×C59—41no—
778C22×C59C23×D411yescharacteristic
779C2×D59—21no—
780C2×D59—21no—
781C2×D59—21no—
782C2×D59—21no—
783C2×D59—21no—
784C2×D59—21no—
785C2×D59—21no—
786C2×D59—21no—
787C2×D59—21no—
788C2×D59—41no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—41no—
796C2×D59—41no—
797C2×D59—84no—
798C2×D59—162no—
799C4×C59—21no—
800C4×C59—21no—
801C4×C59—21no—
802C4×C59—21no—
803C4×C59—21no—
804C4×C59—21no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809C4×C59—41no—
810C4×C59—41no—
811C4×C59—41no—
812C4×C59C2×2−1+411yescharacteristic
813C4×C59#58511yescharacteristic
814Dic59—21no—
815Dic59—21no—
816Dic59—21no—
817Dic59—21no—
818Dic59—21no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822Dic59—41no—
823Dic59—41no—
824#3565—591no—
825#3513—591no—
826#3389—591no—
827#3381D5911yescharacteristic, complemented
828#3371—591no—
829#3361—591no—
830#3354—591no—
831#3351—591no—
832#3351—591no—
833#3349—591no—
834#3343—591no—
835#3339—591no—
836#3324—591no—
837#3323—591no—
838#3322—591no—
839#3319—591no—
840#3318—591no—
841#3296—591no—
842#3262—591no—
843#3257—591no—
844#3256—591no—
845#3244—591no—
846#3241—591no—
847#3233—591no—
848#3125—591no—
849#3118—591no—
850#3105—591no—
851#3083—591no—
852#3081—591no—
853#3077—591no—
854#2993—591no—
855C2×C59—42no—
856C2×C59#348911yescharacteristic
857C2×C59#358411yescharacteristic
858C2×C59#358511yescharacteristic
859D59—41no—
860D59—41no—
861D59—41no—
862D59—81no—
863D59—81no—
864D59—81no—
865#563—1181no—
866#562—1181no—
867#559—591no—
868#557C2×D5911yescharacteristic, complemented
869#556—591no—
870#556—1181no—
871#555—591no—
872#554—591no—
873#554C2×D5911yescharacteristic
874#553—591no—
875#553—591no—
876#553—591no—
877#553—1181no—
878#552—591no—
879#552—591no—
880#552—591no—
881#552—1181no—
882#551—1181no—
883#551—1181no—
884#547—591no—
885#546—591no—
886#546—591no—
887#546—1181no—
888D42—591no—
889#544—591no—
890#544—591no—
891#542—591no—
892#542—591no—
893#542—591no—
894#542—1181no—
895#542—1181no—
896#541—1181no—
897#540—591no—
898#539—1181no—
899#539—1181no—
900#538—1181no—
901#533—591no—
902#529—591no—
903#529—591no—
904#529—591no—
905#525—1181no—
906C2×#123—1181no—
907#520—591no—
908#518—591no—
909C2×C4×D4—591no—
910#501—591no—
911#501—591no—
912#499—591no—
913#499C2×D5911yescharacteristic, complemented
914#499C2×D5911yescharacteristic, complemented
915#498C2×D5911yescharacteristic, complemented
916#490—591no—
917#489—591no—
918#488—591no—
919#488—591no—
920#488—591no—
921#486—591no—
922#485—591no—
923#485—591no—
924#485—591no—
925#485—591no—
926#484—591no—
927#483—591no—
928#483—591no—
929#482—591no—
930#482—591no—
931#482—591no—
932#482—591no—
933#482—591no—
934#482—591no—
935#481—591no—
936#481—591no—
937#481—591no—
938#481—591no—
939#480—591no—
940#479—591no—
941#479—591no—
942#479C2×D5911yescharacteristic, complemented
943#479C2×D5911yescharacteristic, complemented
944#478—591no—
945#478—591no—
946#478—591no—
947#478—591no—
948#478—591no—
949#478—591no—
950#478—591no—
951#478—591no—
952#478—591no—
953#478—591no—
954#478C2×D5911yescharacteristic
955#478C2×D5911yescharacteristic
956#477—591no—
957#477—591no—
958#477C2×D5911yescharacteristic, complemented
959#476—591no—
960#476—591no—
961#476—591no—
962#476—591no—
963#475—591no—
964#474—591no—
965#474—591no—
966#474—591no—
967#474—591no—
968#474—591no—
969#474C2×D5911yescharacteristic
970#470—591no—
971#469—591no—
972#469—591no—
973#468—591no—
974#468—591no—
975#468—591no—
976#468—591no—
977#468—591no—
978#467—591no—
979#466—591no—
980#466—591no—
981#465—591no—
982#464—591no—
983#464—591no—
984#464—591no—
985#463—591no—
986#463—591no—
987#463—591no—
988#463—591no—
989#463—591no—
990#460—591no—
991#459—591no—
992#452—591no—
993#450—591no—
994#450—591no—
995#449—591no—
996#447—591no—
997#447—591no—
998#446—591no—
999C8×Q8C2×D5911yescharacteristic, complemented
1000#442—591no—
1001#442—591no—
1002#441—591no—
1003#440—591no—
1004C4×SD16—591no—
1005C4×SD16—591no—
1006C4×SD16C2×D5911yescharacteristic
1007C4×SD16C2×D5911yescharacteristic
1008C4×SD16C2×D5911yescharacteristic
1009C4×D8—591no—
1010C4×D8—591no—
1011C4×D8—591no—
1012#436—591no—
1013#436—591no—
1014#436—591no—
1015#435—591no—
1016#435—591no—
1017C8×D4—591no—
1018#433—591no—
1019#433—591no—
1020#431—591no—
1021#428—591no—
1022#428—591no—
1023#428—591no—
1024#428—591no—
1025#427—591no—
1026C2×#107—591no—
1027#424—591no—
1028#424—591no—
1029#423—591no—
1030#418—591no—
1031#418—591no—
1032#418—591no—
1033#417—591no—
1034#416—591no—
1035C2×#102—591no—
1036C59#6217511yescharacteristic, complemented, Sylow
1037C2×#41—591no—
1038C2×#41—1181no—
1039C22×D4—591no—
1040C22×D4—591no—
1041C22×D4—1181no—
1042C23×C4—1181no—
1043C2×Q16—591no—
1044C2×SD16—591no—
1045C2×SD16—591no—
1046C2×SD16—591no—
1047C2×SD16C22×D5911yescharacteristic
1048C2×D8—591no—
1049C2×D8—591no—
1050C2×D8—591no—
1051C2×M16—591no—
1052C2×M16—591no—
1053C2×M16—591no—
1054C2×M16—591no—
1055C22×C8—591no—
1056C22×C8—591no—
1057C4⋊Q8—21no—
1058C4⋊Q8—591no—
1059C4⋊Q8—591no—
1060C4⋊Q8—591no—
1061C4⋊Q8—1181no—
1062C4⋊Q8—1181no—
1063C4⋊Q8C22×D5911yescharacteristic
1064C4⋊Q8C22×D5911yescharacteristic
1065#127—591no—
1066#126—591no—
1067#126—591no—
1068#126—1181no—
1069#126—1181no—
1070#126—1181no—
1071#126—1181no—
1072#126—1181no—
1073#126—1181no—
1074#126—1181no—
1075#126—1181no—
1076#126—1181no—
1077#126—1181no—
1078#126—1181no—
1079#126—1181no—
1080#126—1181no—
1081#125—21no—
1082#125—21no—
1083#125—591no—
1084#125—591no—
1085#125—591no—
1086#125—591no—
1087#125—1181no—
1088#125—1181no—
1089#125—1181no—
1090#125—1181no—
1091#125—1181no—
1092#125C22×D5911yescharacteristic
1093#125C22×D5911yescharacteristic
1094#125C22×D5911yescharacteristic
1095#125C22×D5911yescharacteristic
1096#124—591no—
1097#124—591no—
1098#124—591no—
1099#124—591no—
1100#124—1181no—
1101#124—1181no—
1102#124—1181no—
1103#124—1181no—
1104#124—1181no—
1105#124—1181no—
1106#124—1181no—
1107#123—591no—
1108#123—591no—
1109#123—1181no—
1110#123—1181no—
1111#123—1181no—
1112#123—1181no—
1113#123—1181no—
1114#123—1181no—
1115#123—1181no—
1116#123—1181no—
1117#123—1181no—
1118#123—1181no—
1119#123—1181no—
1120#123—1181no—
1121#123—1181no—
1122#123—1181no—
1123#123—1181no—
1124#123—1181no—
1125#123—1181no—
1126#123—1181no—
1127#123—1181no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—591no—
1132C22⋊Q8—591no—
1133C22⋊Q8—591no—
1134C22⋊Q8—591no—
1135C22⋊Q8—591no—
1136C22⋊Q8—591no—
1137C22⋊Q8—1181no—
1138C22⋊Q8—1181no—
1139C22⋊Q8—1181no—
1140C22⋊Q8—1181no—
1141C22⋊Q8—1181no—
1142C22⋊Q8—1181no—
1143C22⋊Q8—1181no—
1144C22⋊Q8—1181no—
1145C22⋊Q8—1181no—
1146C22⋊Q8—1181no—
1147C22⋊Q8—1181no—
1148C22⋊Q8—1181no—
1149C22⋊Q8—1181no—
1150#121—591no—
1151#121—591no—
1152#121—591no—
1153#121—591no—
1154#121—591no—
1155#121—591no—
1156#121—591no—
1157#121—591no—
1158#121—1181no—
1159#121—1181no—
1160#121—1181no—
1161#121—1181no—
1162#121—1181no—
1163#121—1181no—
1164#121—1181no—
1165#121—1181no—
1166#121—1181no—
1167#120—1181no—
1168#120—1181no—
1169#120—1181no—
1170#120—1181no—
1171C4×Q8—21no—
1172C4×Q8—591no—
1173C4×Q8—591no—
1174C4×Q8—1181no—
1175C4×Q8—1181no—
1176C4×Q8—1181no—
1177C4×Q8C22×D5911yescharacteristic
1178C4×Q8C22×D5911yescharacteristic
1179C4×Q8C22×D5911yescharacteristic
1180C4×Q8C22×D5911yescharacteristic
1181C4×D4—591no—
1182C4×D4—591no—
1183C4×D4—591no—
1184C4×D4—591no—
1185C4×D4—591no—
1186C4×D4—591no—
1187C4×D4—591no—
1188C4×D4—591no—
1189C4×D4—591no—
1190C4×D4—591no—
1191C4×D4—591no—
1192C4×D4—1181no—
1193C4×D4—1181no—
1194C4×D4—1181no—
1195C4×D4—1181no—
1196C4×D4—1181no—
1197C4×D4—1181no—
1198C4×D4—1181no—
1199C4×D4—1181no—
1200C4×D4—1181no—
1201C4×D4—1181no—
1202C4×D4—1181no—
1203C4×D4—1181no—
1204C4×D4C22×D5911yescharacteristic
1205C4×D4C22×D5911yescharacteristic
1206C4×D4C22×D5911yescharacteristic
1207#117—591no—
1208#117—591no—
1209#117—591no—
1210#117—591no—
1211#117—591no—
1212#117—591no—
1213#117—591no—
1214#117—1181no—
1215#117—1181no—
1216#117—1181no—
1217#117—1181no—
1218#117—1181no—
1219#117—1181no—
1220#117—1181no—
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—591no—
1223C2×C4⋊C4—591no—
1224C2×C4⋊C4—591no—
1225C2×C4⋊C4—591no—
1226C2×C4⋊C4—1181no—
1227C2×C4⋊C4—1181no—
1228C2×C22⋊C4—1181no—
1229C2×C22⋊C4—1181no—
1230C2×C22⋊C4—1181no—
1231C2×C22⋊C4—1181no—
1232C2×C22⋊C4—1181no—
1233C2×C42—591no—
1234#107—591no—
1235#107—591no—
1236#107—591no—
1237#107—591no—
1238#107—591no—
1239#107—591no—
1240#107—591no—
1241#107—591no—
1242#107C22×D5911yescharacteristic
1243#107C22×D5911yescharacteristic
1244#107C22×D5911yescharacteristic
1245#107C22×D5911yescharacteristic
1246#106—591no—
1247#106—591no—
1248#106—591no—
1249#106—591no—
1250#106—591no—
1251#106—591no—
1252#106—591no—
1253#106C22×D5911yescharacteristic
1254#106C22×D5911yescharacteristic
1255#106C22×D5911yescharacteristic
1256#106C22×D5911yescharacteristic
1257#106C22×D5911yescharacteristic
1258C4⋊C8—591no—
1259C4⋊C8—591no—
1260C4⋊C8—591no—
1261C4⋊C8—591no—
1262C4⋊C8—591no—
1263C4⋊C8—591no—
1264C4⋊C8—591no—
1265C4⋊C8C22×D5911yescharacteristic
1266C4⋊C8C22×D5911yescharacteristic
1267C4⋊C8C22×D5911yescharacteristic
1268#103—591no—
1269#103—591no—
1270#103—591no—
1271#103—591no—
1272#103—591no—
1273#103—591no—
1274#103—591no—
1275#103C22×D5911yescharacteristic
1276#103C22×D5911yescharacteristic
1277#103C22×D5911yescharacteristic
1278#102—591no—
1279#102—591no—
1280#102—591no—
1281#102—591no—
1282#102—591no—
1283#102—591no—
1284#102—591no—
1285#102—591no—
1286#102—591no—
1287#102—591no—
1288#102—591no—
1289#102—591no—
1290#102—591no—
1291#102—591no—
1292#102—591no—
1293#102—591no—
1294#102—591no—
1295#102—591no—
1296#102—591no—
1297#102C22×D5911yescharacteristic
1298#102C22×D5911yescharacteristic
1299#102C22×D5911yescharacteristic
1300C22⋊C8—591no—
1301C22⋊C8—591no—
1302C22⋊C8—591no—
1303C22⋊C8—591no—
1304C22⋊C8—591no—
1305C22⋊C8—591no—
1306#97—591no—
1307#97—591no—
1308C4×C8—591no—
1309C4×C8C22×D5911yescharacteristic
1310C4×C8C22×D5911yescharacteristic
1311C4×C8C22×D5911yescharacteristic
1312C24—1181no—
1313C24—1181no—
1314#41—1182no—
1315#41—4722no—
1316#41—2361no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—591no—
1320C2×Q8—1181no—
1321C2×Q8—1181no—
1322C2×Q8—1181no—
1323C2×Q8D4×D5911yescharacteristic
1324C2×Q8C23×D5911yescharacteristic
1325C2×D4—591no—
1326C2×D4—591no—
1327C2×D4—591no—
1328C2×D4—591no—
1329C2×D4—591no—
1330C2×D4—591no—
1331C2×D4—1181no—
1332C2×D4—1181no—
1333C2×D4—1181no—
1334C2×D4—1181no—
1335C2×D4—1181no—
1336C2×D4—1181no—
1337C2×D4—1181no—
1338C2×D4—1181no—
1339C2×D4—1181no—
1340C2×D4—1182no—
1341C2×D4—1182no—
1342C2×D4—1181no—
1343C2×D4—1181no—
1344C2×D4—1181no—
1345C2×D4—4722no—
1346C2×D4—2361no—
1347C2×D4—2361no—
1348C2×D4C23×D5911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—591no—
1353C22×C4—591no—
1354C22×C4—591no—
1355C22×C4—591no—
1356C22×C4—591no—
1357C22×C4—1181no—
1358C22×C4—1181no—
1359C22×C4—1181no—
1360C22×C4—1181no—
1361C22×C4—1181no—
1362C22×C4—1181no—
1363C22×C4—1181no—
1364C22×C4—1181no—
1365C22×C4—1181no—
1366C22×C4—1181no—
1367C22×C4—1181no—
1368C22×C4—1181no—
1369C22×C4—1181no—
1370C22×C4—4722no—
1371Q16—2361no—
1372SD16—22no—
1373SD16—2361no—
1374SD16—2361no—
1375SD16—2361no—
1376D8—1182no—
1377D8—2361no—
1378D8—2361no—
1379M16—2361no—
1380M16—2361no—
1381M16—2361no—
1382M16—2361no—
1383C2×C8—591no—
1384C2×C8—591no—
1385C2×C8—591no—
1386C2×C8—591no—
1387C2×C8—2361no—
1388C2×C8—2361no—
1389C2×C8C23×D5911yescharacteristic
1390C2×C8C23×D5911yescharacteristic
1391C2×C8C23×D5911yescharacteristic
1392C2×C8C23×D5911yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—591no—
1407C4⋊C4—591no—
1408C4⋊C4—591no—
1409C4⋊C4—591no—
1410C4⋊C4—591no—
1411C4⋊C4—591no—
1412C4⋊C4—591no—
1413C4⋊C4—591no—
1414C4⋊C4—591no—
1415C4⋊C4—591no—
1416C4⋊C4—591no—
1417C4⋊C4—1181no—
1418C4⋊C4—1181no—
1419C4⋊C4—1181no—
1420C4⋊C4—1181no—
1421C4⋊C4—1181no—
1422C4⋊C4—1181no—
1423C4⋊C4—1181no—
1424C4⋊C4—1181no—
1425C4⋊C4—1181no—
1426C4⋊C4—1181no—
1427C4⋊C4—1181no—
1428C4⋊C4—1181no—
1429C4⋊C4—1181no—
1430C4⋊C4—1181no—
1431C4⋊C4—1181no—
1432C4⋊C4—1181no—
1433C4⋊C4—1181no—
1434C4⋊C4—1181no—
1435C4⋊C4—1181no—
1436C4⋊C4—1181no—
1437C4⋊C4D4×D5911yescharacteristic
1438C4⋊C4D4×D5911yescharacteristic
1439C4⋊C4D4×D5911yescharacteristic
1440C4⋊C4C23×D5911yescharacteristic
1441C4⋊C4C23×D5911yescharacteristic
1442C4⋊C4C23×D5911yescharacteristic
1443C4⋊C4C23×D5911yescharacteristic
1444C4⋊C4C23×D5911yescharacteristic
1445C4⋊C4C23×D5911yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—591no—
1450C22⋊C4—591no—
1451C22⋊C4—591no—
1452C22⋊C4—591no—
1453C22⋊C4—591no—
1454C22⋊C4—591no—
1455C22⋊C4—591no—
1456C22⋊C4—591no—
1457C22⋊C4—591no—
1458C22⋊C4—591no—
1459C22⋊C4—1181no—
1460C22⋊C4—1181no—
1461C22⋊C4—1181no—
1462C22⋊C4—1181no—
1463C22⋊C4—1181no—
1464C22⋊C4—1181no—
1465C22⋊C4—1181no—
1466C22⋊C4—1181no—
1467C22⋊C4—1181no—
1468C22⋊C4—1181no—
1469C22⋊C4—1181no—
1470C22⋊C4—1181no—
1471C22⋊C4—1181no—
1472C22⋊C4—1181no—
1473C22⋊C4—1181no—
1474C22⋊C4—1181no—
1475C22⋊C4—1181no—
1476C22⋊C4—1181no—
1477C22⋊C4—1181no—
1478C22⋊C4—1181no—
1479C22⋊C4—1181no—
1480C22⋊C4—1181no—
1481C22⋊C4—1181no—
1482C22⋊C4—1181no—
1483C22⋊C4—1181no—
1484C22⋊C4—1181no—
1485C22⋊C4—1181no—
1486C22⋊C4—1181no—
1487C22⋊C4—1181no—
1488C22⋊C4—1181no—
1489C22⋊C4—1181no—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—591no—
1494C42—591no—
1495C42—591no—
1496C42—1181no—
1497C42—1181no—
1498C42—1181no—
1499C42—1181no—
1500C42—1181no—
1501C42—1181no—
1502C42—1181no—
1503C42C23×D5911yescharacteristic
1504C42C23×D5911yescharacteristic
1505C42C23×D5911yescharacteristic
1506C23—21no—
1507C23—591no—
1508C23—591no—
1509C23—591no—
1510C23—1181no—
1511C23—1181no—
1512C23—1181no—
1513C23—4721no—
1514C23—4721no—
1515C23—4721no—
1516C23—2362no—
1517C23—2362no—
1518C23—2362no—
1519Q8—21no—
1520Q8—21no—
1521Q8—41no—
1522Q8—81no—
1523Q8—81no—
1524Q8—1181no—
1525Q8—1181no—
1526Q8—4721no—
1527Q8—4721no—
1528Q8—4721no—
1529D4—21no—
1530D4—1181no—
1531D4—1181no—
1532D4—1181no—
1533D4—1181no—
1534D4—1181no—
1535D4—1181no—
1536D4—4721no—
1537D4—4721no—
1538D4—4721no—
1539D4—4721no—
1540D4—4721no—
1541D4—4721no—
1542D4—4721no—
1543D4—4721no—
1544D4—2361no—
1545D4—2361no—
1546D4—2361no—
1547D4—2362no—
1548D4—2362no—
1549D4—2362no—
1550D4—2362no—
1551D4#1427377512yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—81no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—591no—
1563C2×C4—591no—
1564C2×C4—591no—
1565C2×C4—591no—
1566C2×C4—591no—
1567C2×C4—1181no—
1568C2×C4—1181no—
1569C2×C4—1181no—
1570C2×C4—1181no—
1571C2×C4—1181no—
1572C2×C4—1181no—
1573C2×C4—1181no—
1574C2×C4—1181no—
1575C2×C4—1181no—
1576C2×C4—1181no—
1577C2×C4—1181no—
1578C2×C4—4721no—
1579C2×C4—4721no—
1580C2×C4—4721no—
1581C2×C4—4721no—
1582C2×C4—4721no—
1583C2×C4—4721no—
1584C2×C4—4721no—
1585C2×C4—4721no—
1586C2×C4—4721no—
1587C2×C4—4721no—
1588C2×C4—4721no—
1589C2×C4—2361no—
1590C2×C4—2361no—
1591C2×C4—2362no—
1592C2×C4—2362no—
1593C2×C4C2×D4×D5911yescharacteristic
1594C2×C4C2×D4×D5911yescharacteristic
1595C2×C4C2×D4×D5911yescharacteristic
1596C2×C4C2×D4×D5911yescharacteristic
1597C2×C4C2×D4×D5911yescharacteristic
1598C2×C4C2×D4×D5911yescharacteristic
1599C2×C4C24×D5911yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1181no—
1605C8—1181no—
1606C8—1181no—
1607C8—1181no—
1608C22—22no—
1609C22—41no—
1610C22—41no—
1611C22—1181no—
1612C22—1181no—
1613C22—1181no—
1614C22—1181no—
1615C22—1181no—
1616C22—1181no—
1617C22—1181no—
1618C22—1181no—
1619C22—1181no—
1620C22—9442no—
1621C22—4724no—
1622C22—2361no—
1623C22—2361no—
1624C22—2361no—
1625C22—2361no—
1626C22—2361no—
1627C22—2361no—
1628C22—2361no—
1629C22—2361no—
1630C22—2361no—
1631C22C22×D4×D5911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—1181no—
1646C4—1181no—
1647C4—1181no—
1648C4—1181no—
1649C4—1181no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C4—2361no—
1655C4C2×#1427377511yescharacteristic
1656C4#1683823911yescharacteristic
1657C2—42no—
1658C2—4721no—
1659C2—4721no—
1660C2—4721no—
1661C2—2361no—
1662C2—2361no—
1663C2—2361no—
1664C2#2143777311yescharacteristic
1665C2#2143886511yescharacteristic
1666C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3381C2
socleC22×C59C23×D4
hypercenter#3381D59
hypocenterC59#62175
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3381

Complements

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

NH ≅ G/Ntype
1. #21438748C2semidirect
2. #21438039C2semidirect
3. #21437050C2semidirect
4. #21436864C2semidirect
5. #21436758C2semidirect
6. #21436690C2semidirect
7. #21436655C2semidirect
8. #21436653C2semidirect
9. #21436633C2semidirect
10. #21436533C2semidirect
11. #21436497C2semidirect
12. #21436329C2semidirect
13. #21436317C2semidirect
14. #21436294C2semidirect
15. #21436249C2semidirect
16. #21436234C2semidirect
17. #21435936C2semidirect
18. #21435559C2semidirect
19. #21435513C2semidirect
20. #21435499C2semidirect
21. #21435397C2semidirect
22. #21435352C2semidirect
23. #21435276C2semidirect
24. #21434369C2semidirect
25. #21434286C2semidirect
26. #21434147C2semidirect
27. #21433948C2semidirect
28. #21433920C2semidirect
29. #21433891C2semidirect
30. #21433244C2semidirect
31. C59×#3381C2semidirect
37. #16838118C22semidirect
38. #16838112C22semidirect
41. #16838105C22semidirect
43. #16838093C22semidirect
44. #16838093C22semidirect
54. #16838032C22semidirect
55. #16838029C22semidirect
59. #16838024C22semidirect
60. #16838024C22semidirect
66. #16837958C22semidirect
68. #16837939C22semidirect
75. #16837812C22semidirect
76. #16837808C22semidirect
77. #16837801C22semidirect
79. #16837764C22semidirect
80. #16837759C22semidirect
81. #16837757C22semidirect
82. #16837757C22semidirect
84. #16837746C22semidirect
85. #16837746C22semidirect
86. #16837745C22semidirect
87. #16837742C22semidirect
88. #16837736C22semidirect
89. #16837734C22semidirect
90. #16837731C22semidirect
92. #16837729C22semidirect
95. #16837728C22semidirect
96. #16837728C22semidirect
98. #16837722C22semidirect
99. #16837722C22semidirect
100. #16837722C22semidirect
101. #16837717C22semidirect
102. #16837712C22semidirect
103. #16837706C22semidirect
104. #16837705C22semidirect
105. #16837703C22semidirect
106. #16837703C22semidirect
109. #16837701C22semidirect
111. #16837699C22semidirect
112. #16837699C22semidirect
113. #16837699C22semidirect
114. #16837698C22semidirect
115. #16837696C22semidirect
116. #16837691C22semidirect
117. #16837691C22semidirect
119. #16837689C22semidirect
120. #16837686C22semidirect
122. #16837681C22semidirect
123. #16837681C22semidirect
125. #16837679C22semidirect
126. #16837659C22semidirect
128. #16837656C22semidirect
131. #16837651C22semidirect
132. #16837649C22semidirect
133. #16837649C22semidirect
134. #16837642C22semidirect
136. #16837639C22semidirect
137. #16837634C22semidirect
138. #16837627C22semidirect
139. #16837624C22semidirect
140. #16837624C22semidirect
141. #16837620C22semidirect
142. #16837620C22semidirect
144. #16837618C22semidirect
145. #16837618C22semidirect
154. #16837533C22semidirect
157. #16837507C22semidirect
158. #16837500C22semidirect
159. C4×#11745660C22semidirect
160. C4×#11745671C22semidirect
161. C4×D472C22semidirect
162. C4×D472C22semidirect
165. #16837481C22semidirect
166. #16837479C22semidirect
168. #16837472C22semidirect
169. C8×D236C22semidirect
170. #16837461C22semidirect
171. #16837461C22semidirect
172. #16837453C22semidirect
173. #16837443C22semidirect
174. #16837443C22semidirect
175. #16837441C22semidirect
176. #16837441C22semidirect
177. #16837439C22semidirect
178. #107×D59C22semidirect
179. #16837427C22semidirect
180. #16837427C22semidirect
181. #16837424C22semidirect
188. C59×#557C22semidirect
190. C59×#499C22semidirect
191. C59×#499C22semidirect
192. C59×#498C22semidirect
193. C59×#479C22semidirect
194. C59×#479C22semidirect
197. C59×#477C22semidirect
199. C8×Q8×C59C22semidirect
827. #3381D59semidirect
868. #557C2×D59semidirect
913. #499C2×D59semidirect
914. #499C2×D59semidirect
915. #498C2×D59semidirect
942. #479C2×D59semidirect
943. #479C2×D59semidirect
958. #477C2×D59semidirect
999. C8×Q8C2×D59semidirect
1036. C59#62175semidirect

Maximal subgroups

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

subgroupindex
#214387482
#214380392
#214370502
#214368642
#214367582
#214366902
#214366552
#214366532
#214366332
#214365332
#214364972
#214363292
#214363172
#214362942
#214362492
#214362342
#214359362
#214355592
#214355132
#214354992
#214353972
#214353522
#214352762
#214343692
#214342862
#214341472
#214339482
#214339202
#214338912
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