Finite Group Databasebeta

← #29470694

Subgroups — #29470694

Order 15104.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437707C211yesmaximal, characteristic, complemented
2#21437661C211yesmaximal, characteristic, complemented
3#21437163C211yesmaximal, characteristic, complemented
4#21437051C211yesmaximal, characteristic, complemented
5#21436930C211yesmaximal, characteristic, complemented
6#21436852C211yesmaximal, characteristic, complemented
7#21436597C211yesmaximal, characteristic, complemented
8#21436471C211yesmaximal, characteristic, complemented
9#21436255C211yesmaximal, characteristic, complemented
10#21436171C211yesmaximal, characteristic, complemented
11#21436111C211yesmaximal, characteristic, complemented
12#21436075C211yesmaximal, characteristic, complemented
13#21435944C211yesmaximal, characteristic, complemented
14#21435929C211yesmaximal, characteristic, complemented
15#21435778C211yesmaximal, characteristic, complemented
16#21435628C211yesmaximal, characteristic, complemented
17#21435581C211yesmaximal, characteristic, complemented
18#21434826C211yesmaximal, characteristic, complemented
19#21434800C211yesmaximal, characteristic, complemented
20#21434796C211yesmaximal, characteristic, complemented
21#21434250C211yesmaximal, characteristic, complemented
22#21434237C211yesmaximal, characteristic, complemented
23#21434237C211yesmaximal, characteristic, complemented
24#21434212C211yesmaximal, characteristic, complemented
25#21434208C211yesmaximal, characteristic, complemented
26#21434192C211yesmaximal, characteristic, complemented
27#21433106C211yesmaximal, characteristic, complemented
28#21432903C211yesmaximal, characteristic, complemented
29#21432895C211yesmaximal, characteristic, complemented
30C2×#16837513C211yesmaximal, characteristic, complemented
31C59×#3344C211yesmaximal, characteristic, complemented
32C2×#14273755C2211yescharacteristic
33C2×#14273750C2211yescharacteristic
34C22×D472C2211yescharacteristic
35#16838137C2211yescharacteristic, complemented
36#16838124C2211yescharacteristic, complemented
37#16838115C2211yescharacteristic, complemented
38#16838113C2211yescharacteristic, complemented
39#16838108C2211yescharacteristic, complemented
40#16838105—21no—
41#16838103—21no—
42#16838100C2211yescharacteristic
43#16838100C2211yescharacteristic, complemented
44#16838087C2211yescharacteristic, complemented
45#16838084—21no—
46#16838079—21no—
47#16838079—21no—
48#16838076—21no—
49#16838075—21no—
50#16838054C2211yescharacteristic, complemented
51#16838048C2211yescharacteristic
52#16838047—21no—
53#16838043C2211yescharacteristic
54#16838043C2211yescharacteristic, complemented
55#16838043C2211yescharacteristic, complemented
56D4×D236C2211yescharacteristic
57#16837954C2211yescharacteristic, complemented
58#16837953C2211yescharacteristic, complemented
59#16837938C2211yescharacteristic
60#16837938C2211yescharacteristic, complemented
61#16837938C2211yescharacteristic, complemented
62#16837937—21no—
63#16837937—21no—
64#16837937C2211yescharacteristic, complemented
65#16837935—21no—
66#16837915—21no—
67#16837915—21no—
68#16837910—21no—
69C4×#11745689C2211yescharacteristic, complemented
70C4×#11745689C2211yescharacteristic, complemented
71#16837870C2211yescharacteristic, complemented
72C4×#11745687C2211yescharacteristic
73C2×#14273689C2211yescharacteristic
74C2×#14273689C2211yescharacteristic, complemented
75C2×#14273689C2211yescharacteristic, complemented
76C4×D4×D59—21no—
77#117×D59—21no—
78#16837810C2211yescharacteristic, complemented
79#16837802C2211yescharacteristic, complemented
80#16837795C2211yescharacteristic, complemented
81#16837791C2211yescharacteristic
82#16837787C2211yescharacteristic, complemented
83#16837769C2211yescharacteristic, complemented
84#16837768C2211yescharacteristic, complemented
85#16837764C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837758C2211yescharacteristic, complemented
88#16837758C2211yescharacteristic, complemented
89#16837746C2211yescharacteristic, complemented
90#16837737C2211yescharacteristic, complemented
91#16837729C2211yescharacteristic, complemented
92#16837728C2211yescharacteristic, complemented
93#16837728C2211yescharacteristic, complemented
94#16837726C2211yescharacteristic, complemented
95#16837715C2211yescharacteristic
96#16837715C2211yescharacteristic, complemented
97#16837712C2211yescharacteristic, complemented
98#16837705C2211yescharacteristic, complemented
99#16837701C2211yescharacteristic, complemented
100#16837701C2211yescharacteristic, complemented
101#16837701C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic, complemented
103#16837699C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837681C2211yescharacteristic, complemented
106#16837679C2211yescharacteristic, complemented
107#16837655C2211yescharacteristic
108#16837650C2211yescharacteristic, complemented
109#16837650C2211yescharacteristic, complemented
110#16837641C2211yescharacteristic, complemented
111#16837639C2211yescharacteristic, complemented
112#16837639C2211yescharacteristic, complemented
113#16837633C2211yescharacteristic
114#16837632C2211yescharacteristic, complemented
115#16837632C2211yescharacteristic, complemented
116#16837631C2211yescharacteristic
117#16837627C2211yescharacteristic, complemented
118#16837624C2211yescharacteristic, complemented
119#16837620C2211yescharacteristic
120#16837620C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic, complemented
123#16837620C2211yescharacteristic, complemented
124#16837618C2211yescharacteristic
125#16837606C2211yescharacteristic, complemented
126#16837606C2211yescharacteristic, complemented
127#16837602C2211yescharacteristic, complemented
128#16837598C2211yescharacteristic
129#16837567C2211yescharacteristic, complemented
130#16837562C2211yescharacteristic, complemented
131#16837555C2211yescharacteristic
132#16837552C2211yescharacteristic
133#16837552C2211yescharacteristic, complemented
134#16837552C2211yescharacteristic, complemented
135#16837550C2211yescharacteristic
136#16837550C2211yescharacteristic, complemented
137#16837550C2211yescharacteristic, complemented
138#16837549C2211yescharacteristic
139#16837538C2211yescharacteristic
140#16837538C2211yescharacteristic
141#16837531C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837515C2211yescharacteristic
144#16837513C2211yescharacteristic
145#16837513C2211yescharacteristic
146#16837513C2211yescharacteristic
147#16837513C2211yescharacteristic
148#16837513C2211yescharacteristic, complemented
149#16837513C2211yescharacteristic, complemented
150#16837513C2211yescharacteristic, complemented
151#16837513C2211yescharacteristic, complemented
152#16837513C2211yescharacteristic, complemented
153#16837513C2211yescharacteristic, complemented
154#16837509C2211yescharacteristic, complemented
155#16837506C2211yescharacteristic, complemented
156#16837505C2211yescharacteristic, complemented
157#16837505C2211yescharacteristic, complemented
158#16837505C2211yescharacteristic, complemented
159#16837505C2211yescharacteristic, complemented
160#16837505C2211yescharacteristic, complemented
161#16837501C2211yescharacteristic, complemented
162#16837501C2211yescharacteristic, complemented
163#16837501C2211yescharacteristic, complemented
164#16837500C2211yescharacteristic, complemented
165#16837500C2211yescharacteristic, complemented
166#16837489C2211yescharacteristic, complemented
167#16837489C2211yescharacteristic, complemented
168#16837484C2211yescharacteristic
169#16837484C2211yescharacteristic, complemented
170#16837476C2211yescharacteristic, complemented
171#16837474C2211yescharacteristic
172#16837471C2211yescharacteristic, complemented
173C8×C22⋊D59C2211yescharacteristic, complemented
174(C22⋊D59)⋊C8C2211yescharacteristic, complemented
175#16837458C2211yescharacteristic, complemented
176#16837456C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837437C2211yescharacteristic, complemented
179#16837406C2211yescharacteristic, complemented
180#16837401C2211yescharacteristic, complemented
181#16837397C2211yescharacteristic, complemented
182#16837397C2211yescharacteristic, complemented
183C2×#14273647C2211yescharacteristic
184C2×#14273647C2211yescharacteristic, complemented
185M16×Dic59C2211yescharacteristic, complemented
186C2×#14273637C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#554C2211yescharacteristic
189C59×#552C2211yescharacteristic
190C59×#501C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#484C2211yescharacteristic, complemented
193C59×#483C2211yescharacteristic, complemented
194C59×#483C2211yescharacteristic, complemented
195C59×#479C2211yescharacteristic, complemented
196C59×#475C2211yescharacteristic, complemented
197C59×#470C2211yescharacteristic, complemented
198C59×#467C2211yescharacteristic, complemented
199C59×#441C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic
201C59×#428C2211yescharacteristic, complemented
202C2×#106×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689C2311yescharacteristic
205C2×#11745689C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745687D411yescharacteristic
208C22×D236C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C2×D4×D59—21no—
212C22×C4×D59—21no—
213C22×C4×D59—21no—
214C22×C4×D59—21no—
215#14273755—24no—
216#14273750—24no—
217C2×#11745672C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×D472—24no—
227C2×D472C2311yescharacteristic
228C2×D472C2311yescharacteristic
229C2×D472C2311yescharacteristic
230C2×D472C2311yescharacteristic
231C2×D472C2311yescharacteristic
232C2×D472C2311yescharacteristic
233C2×#11745664C2311yescharacteristic
234C22×C59⋊C8C2311yescharacteristic
235C2×C8×D59C2311yescharacteristic
236C2×C8×D59C2311yescharacteristic
237#14273726C2311yescharacteristic
238#14273725C2311yescharacteristic
239#14273724C2311yescharacteristic
240#14273722—21no—
241#14273722—21no—
242#14273722—21no—
243#14273722—21no—
244#14273722—21no—
245#14273722—21no—
246#14273722—21no—
247#14273722—21no—
248#14273721—21no—
249#14273718C2311yescharacteristic
250#14273718C2311yescharacteristic
251#14273718C2311yescharacteristic
252#14273717—21no—
253#14273717—21no—
254#14273716—21no—
255#14273716C2311yescharacteristic
256#14273716C2311yescharacteristic
257#14273716C2311yescharacteristic
258#14273715—21no—
259#14273715—21no—
260#14273715C2311yescharacteristic
261#14273713—21no—
262#14273712—21no—
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#14273711—21no—
273#14273711—21no—
274#14273711—21no—
275#14273710—21no—
276#14273709—21no—
277#14273707—21no—
278#14273707—21no—
279#14273707C2311yescharacteristic
280#14273706C2311yescharacteristic
281#14273705—21no—
282#14273705—21no—
283#14273705—21no—
284#14273704—21no—
285#14273703—21no—
286#14273703—21no—
287#14273702—21no—
288#14273702—21no—
289#14273702—21no—
290#14273702—21no—
291#14273702—21no—
292#14273702C2311yescharacteristic
293#14273702C2311yescharacteristic
294#14273702C2311yescharacteristic
295#14273701—21no—
296#14273701—21no—
297#14273701C2311yescharacteristic
298#14273701C2311yescharacteristic
299#14273701C2311yescharacteristic
300#14273700—21no—
301#14273700—21no—
302#14273700—21no—
303#14273697—21no—
304#14273697—21no—
305#14273697—21no—
306#14273697—21no—
307#14273697—21no—
308#14273695—21no—
309Q8×Dic59C2311yescharacteristic
310Q8×Dic59C2311yescharacteristic
311C4×Dic118C2311yescharacteristic
312#14273692—21no—
313#14273692D411yescharacteristic
314#14273692C2311yescharacteristic
315#14273692C2311yescharacteristic
316C4×D236—21no—
317C4×D236—21no—
318C4×D236—21no—
319C4×D236C2311yescharacteristic
320C4×D236C2311yescharacteristic
321D4×Dic59D411yescharacteristic
322#14273689—21no—
323#14273689—21no—
324#14273689—21no—
325#14273689—21no—
326#14273689—21no—
327#14273689—21no—
328#14273689—21no—
329#14273689—21no—
330#14273689—21no—
331#14273689—21no—
332#14273689C2311yescharacteristic
333#14273689C2311yescharacteristic
334#14273689C2311yescharacteristic
335#14273689C2311yescharacteristic
336#14273689C2311yescharacteristic
337#14273689C2311yescharacteristic
338#14273689C2311yescharacteristic
339#14273689C2311yescharacteristic
340#14273689C2311yescharacteristic
341#14273689C2311yescharacteristic
342#14273689C2311yescharacteristic
343#14273689C2311yescharacteristic
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59C2311yescharacteristic
347C4×C22⋊D59C2311yescharacteristic
348(C22⋊D59)⋊C4—21no—
349(C22⋊D59)⋊C4—21no—
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4D411yescharacteristic
354(C22⋊D59)⋊C4D411yescharacteristic
355#14273686—21no—
356#14273685—21no—
357#14273685—21no—
358#14273685—21no—
359#14273685—21no—
360#14273685—21no—
361#14273685—21no—
362#14273685D411yescharacteristic
363#14273685C2311yescharacteristic
364#14273685C2311yescharacteristic
365#14273684—21no—
366#14273684—21no—
367#14273684—21no—
368#14273683—21no—
369#14273683D411yescharacteristic
370#14273683D411yescharacteristic
371C4⋊C4×D59—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59—21no—
374C2×(C2×D59)⋊C4—21no—
375C2×(C2×D59)⋊C4—21no—
376C2×(C2×D59)⋊C4—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C2×C4×Dic59C2311yescharacteristic
382C2×C4×Dic59C2311yescharacteristic
383C42×D59—21no—
384C42×D59—21no—
385C42×D59—21no—
386C42×D59C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273658C2311yescharacteristic
394C4⋊(C59⋊C8)C2311yescharacteristic
395Dic59⋊C8C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399#14273652C2311yescharacteristic
400#14273651C2311yescharacteristic
401#14273651C2311yescharacteristic
402#14273650C2311yescharacteristic
403#14273650C2311yescharacteristic
404#14273650C2311yescharacteristic
405#14273649C2311yescharacteristic
406#14273649C2311yescharacteristic
407#14273649C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273647C2311yescharacteristic
411#14273647C2311yescharacteristic
412#14273647C2311yescharacteristic
413#14273647C2311yescharacteristic
414#14273647C2311yescharacteristic
415#14273647C2311yescharacteristic
416#14273647C2311yescharacteristic
417#14273647C2311yescharacteristic
418#14273647C2311yescharacteristic
419#14273647C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429#14273638C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×Q16×C59C2311yescharacteristic
439C2×M16×C59C2311yescharacteristic
440C22×C8×C59C2311yescharacteristic
441C4⋊Q8×C59C2311yescharacteristic
442#126×C59—21no—
443#125×C59—21no—
444#125×C59—21no—
445#125×C59C2311yescharacteristic
446#123×C59—21no—
447C22⋊Q8×C59—21no—
448C22⋊Q8×C59—21no—
449C22⋊Q8×C59C2311yescharacteristic
450C22⋊Q8×C59C2311yescharacteristic
451C22⋊Q8×C59C2311yescharacteristic
452C22⋊Q8×C59C2311yescharacteristic
453C4×Q8×C59C2311yescharacteristic
454C4×Q8×C59C2311yescharacteristic
455C4×D4×C59—21no—
456C4×D4×C59C2311yescharacteristic
457#117×C59—21no—
458#117×C59C2311yescharacteristic
459C2×C4⋊C4×C59C2311yescharacteristic
460C2×C4⋊C4×C59C2311yescharacteristic
461C2×C4⋊C4×C59C2311yescharacteristic
462#107×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470#106×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483C23×D59—21no—
484C2×Q8×C59—21no—
485C2×Q8×C59C2411yescharacteristic
486C2×Q8×C59C2411yescharacteristic
487C2×D4×C59C2×D411yescharacteristic
488C22×C4×C59—21no—
489C22×C4×C59—21no—
490C22×C4×C59—21no—
491C22×C4×C59C2411yescharacteristic
492C22×C4×C59C2411yescharacteristic
493C2×C22⋊D59—21no—
494C2×C22⋊D59—21no—
495C2×C22⋊D59—21no—
496C2×C22⋊D59—21no—
497C2×C22⋊D59C2×D411yescharacteristic
498C2×C22⋊D59C2×D411yescharacteristic
499C22×Dic59C2×D411yescharacteristic
500C22×Dic59C2×D411yescharacteristic
501C22×Dic59C2×D411yescharacteristic
502C22×Dic59C2×D411yescharacteristic
503#11745689—22no—
504#11745689—22no—
505#11745689—41no—
506#11745689—41no—
507#11745689—82no—
508#11745687—42no—
509D4×D59—44no—
510#11745685—22no—
511#11745685—41no—
512C2×D236—22no—
513C2×D236—22no—
514C2×D236—22no—
515C2×D236—21no—
516C2×D236—21no—
517C2×D236—21no—
518C2×D236—21no—
519C2×D236—21no—
520C2×D236—21no—
521C2×D236—21no—
522C2×D236—21no—
523C2×D236—21no—
524C2×D236—21no—
525C2×D236—41no—
526C2×D236—41no—
527C2×D236—41no—
528C2×D236C2411yescharacteristic
529C2×D236C2411yescharacteristic
530C2×D236C2411yescharacteristic
531C2×D236C2411yescharacteristic
532C2×D236C2411yescharacteristic
533C2×C4×D59—21no—
534C2×C4×D59—21no—
535C2×C4×D59—21no—
536C2×C4×D59—21no—
537C2×C4×D59—21no—
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—44no—
551C2×C4×D59—82no—
552C2×C4×D59—82no—
553C2×C4×D59C2×D411yescharacteristic
554C2×C4×D59C2×D411yescharacteristic
555C2×C4×D59C2411yescharacteristic
556C2×Dic118—21no—
557C2×Dic118C2×D411yescharacteristic
558C2×Dic118C2411yescharacteristic
559Q16×C59—22no—
560M16×C59—22no—
561C2×C8×C59—22no—
562C2×C8×C59C2411yescharacteristic
563C2×C8×C59C2411yescharacteristic
564C2×C8×C59C2411yescharacteristic
565C2×C8×C59C2411yescharacteristic
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59—21no—
577C4⋊C4×C59—21no—
578C4⋊C4×C59C2×D411yescharacteristic
579C4⋊C4×C59C2411yescharacteristic
580C4⋊C4×C59C2411yescharacteristic
581C4⋊C4×C59C2411yescharacteristic
582C4⋊C4×C59C2411yescharacteristic
583C4⋊C4×C59C2411yescharacteristic
584C4⋊C4×C59C2411yescharacteristic
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59C2×D411yescharacteristic
591C22⋊C4×C59C2×D411yescharacteristic
592C42×C59—21no—
593C42×C59—21no—
594C42×C59—21no—
595C42×C59C2411yescharacteristic
596C22⋊Dic59—21no—
597C22⋊Dic59C2×D411yescharacteristic
598C22⋊Dic59C2×D411yescharacteristic
599#11745672—41no—
600#11745671—22no—
601#11745671—22no—
602#11745671—41no—
603#11745671—41no—
604#11745671—41no—
605(C2×D59)⋊C4—21no—
606(C2×D59)⋊C4—21no—
607(C2×D59)⋊C4—21no—
608(C2×D59)⋊C4—21no—
609(C2×D59)⋊C4—21no—
610(C2×D59)⋊C4—21no—
611(C2×D59)⋊C4—21no—
612(C2×D59)⋊C4—21no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4C2×D411yescharacteristic
637(C2×D59)⋊C4C2×D411yescharacteristic
638C4⋊Dic59—21no—
639C4⋊Dic59—21no—
640C4⋊Dic59—21no—
641C4⋊Dic59—21no—
642C4⋊Dic59—21no—
643C4⋊Dic59—21no—
644C4⋊Dic59C2×D411yescharacteristic
645C4⋊Dic59C2411yescharacteristic
646C4⋊Dic59C2411yescharacteristic
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4C2×D411yescharacteristic
657Dic59⋊C4C2×D411yescharacteristic
658Dic59⋊C4C2×D411yescharacteristic
659Dic59⋊C4C2×D411yescharacteristic
660C4×Dic59—21no—
661C4×Dic59—21no—
662C4×Dic59—21no—
663C4×Dic59—21no—
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59C2×D411yescharacteristic
667C4×Dic59C2×D411yescharacteristic
668C4×Dic59C2×D411yescharacteristic
669C4×Dic59C2×D411yescharacteristic
670C4×Dic59C2×D411yescharacteristic
671C4×Dic59C2×D411yescharacteristic
672C4×Dic59C2411yescharacteristic
673C4×Dic59C2411yescharacteristic
674C4×Dic59C2411yescharacteristic
675#11745664—41no—
676C2×C59⋊C8—41no—
677C2×C59⋊C8C2411yescharacteristic
678C2×C59⋊C8C2411yescharacteristic
679C2×C59⋊C8C2411yescharacteristic
680C2×C59⋊C8C2411yescharacteristic
681D472—22no—
682D472—22no—
683D472—22no—
684D472—22no—
685D472—41no—
686D472#4114yescomplemented
687#11745660—22no—
688#11745660—22no—
689#11745660—41no—
690C8×D59—22no—
691C8×D59—41no—
692C23×C59C22×D411yescharacteristic
693C23×C59C22×D411yescharacteristic
694C22×D59—21no—
695C22×D59—21no—
696C22×D59—21no—
697C22×D59—21no—
698C22×D59—21no—
699C22×D59—42no—
700C22×D59—42no—
701C22×D59—42no—
702C22×D59—42no—
703C22×D59—42no—
704C22×D59—42no—
705C22×D59—81no—
706C22×D59—81no—
707C22×D59—81no—
708C22×D59C22×D411yescharacteristic
709Q8×C59—21no—
710Q8×C59—21no—
711Q8×C59—21no—
712Q8×C59—21no—
713Q8×C59—81no—
714D4×C59—22no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—42no—
728C2×C4×C59—81no—
729C2×C4×C59—81no—
730C2×C4×C59C22×D411yescharacteristic
731C2×C4×C59C22×D411yescharacteristic
732C2×C4×C59C22×D411yescharacteristic
733C2×C4×C59C22×D411yescharacteristic
734C2×C4×C59C2511yescharacteristic
735C22⋊D59—22no—
736C22⋊D59—41no—
737C22⋊D59—42no—
738C22⋊D59—42no—
739C22⋊D59—42no—
740C22⋊D59—81no—
741C2×Dic59—22no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—41no—
746C2×Dic59—41no—
747C2×Dic59—41no—
748C2×Dic59C22×D411yescharacteristic
749C2×Dic59C22×D411yescharacteristic
750C2×Dic59C22×D411yescharacteristic
751C2×Dic59C22×D411yescharacteristic
752C2×Dic59C22×D411yescharacteristic
753C2×Dic59C22×D411yescharacteristic
754C2×Dic59C22×D411yescharacteristic
755D236—21no—
756D236—21no—
757D236—21no—
758D236—21no—
759D236—21no—
760D236—21no—
761D236—21no—
762D236—21no—
763D236—42no—
764D236—42no—
765D236—42no—
766D236—42no—
767D236—42no—
768D236—42no—
769D236—81no—
770D236—81no—
771D236—81no—
772D236—81no—
773D236C2×#4112yes—
774D236C2×#4112yes—
775C4×D59—21no—
776C4×D59—21no—
777C4×D59—41no—
778C4×D59—41no—
779C4×D59—42no—
780C4×D59—42no—
781C4×D59—42no—
782C4×D59—42no—
783C4×D59—42no—
784C4×D59—42no—
785C4×D59—42no—
786C4×D59—42no—
787C4×D59—42no—
788C4×D59—42no—
789C4×D59—42no—
790C4×D59—81no—
791C4×D59—81no—
792C4×D59—81no—
793C4×D59—81no—
794C4×D59—81no—
795C4×D59—81no—
796Dic118—21no—
797Dic118—21no—
798Dic118—41no—
799Dic118—81no—
800C8×C59—21no—
801C8×C59—21no—
802C8×C59—21no—
803C8×C59C2×#4112yes—
804C59⋊C8—21no—
805C59⋊C8—21no—
806C59⋊C8—21no—
807C59⋊C8—21no—
808#61454—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—21no—
812C22×C59—21no—
813C22×C59—21no—
814C22×C59#57512yes—
815C22×C59C23×D411yescharacteristic
816C2×D59—21no—
817C2×D59—21no—
818C2×D59—22no—
819C2×D59—22no—
820C2×D59—21no—
821C2×D59—41no—
822C2×D59—41no—
823C2×D59—41no—
824C2×D59—41no—
825C2×D59—41no—
826C2×D59—41no—
827C2×D59—41no—
828C2×D59—41no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—84no—
835C2×D59—84no—
836C2×D59—84no—
837C4×C59—21no—
838C4×C59—21no—
839C4×C59—21no—
840C4×C59—21no—
841C4×C59—41no—
842C4×C59—41no—
843C4×C59—41no—
844C4×C59—41no—
845C4×C59—41no—
846C4×C59—41no—
847C4×C59—41no—
848C4×C59—41no—
849C4×C59C22×#4111yescharacteristic
850C4×C59#58511yescharacteristic
851Dic59—21no—
852Dic59—21no—
853Dic59—21no—
854Dic59—21no—
855Dic59—21no—
856Dic59—21no—
857Dic59—21no—
858Dic59—41no—
859Dic59—41no—
860Dic59—41no—
861#3481—591no—
862#3475—591no—
863#3401—591no—
864#3389—591no—
865#3376—591no—
866#3370—591no—
867#3347—591no—
868#3344D5911yescharacteristic, complemented
869#3337—591no—
870#3319—591no—
871#3314—591no—
872#3310—591no—
873#3307—591no—
874#3297—591no—
875#3296—591no—
876#3280—591no—
877#3267—591no—
878#3264—591no—
879#3183—591no—
880#3181—591no—
881#3180—591no—
882#3115—591no—
883#3114—591no—
884#3114—591no—
885#3111—591no—
886#3111—591no—
887#3110—591no—
888#2970—591no—
889C4×AGL(1,ℤ/8)—591no—
890#2943—591no—
891C2×#442—591no—
892C2×C59—22no—
893C2×C59—41no—
894C2×C59D4×#4111yescharacteristic
895C2×C59C2×#57511yescharacteristic
896C2×C59#358511yescharacteristic
897D59—41no—
898D59—42no—
899D59—42no—
900D59—81no—
901D59—81no—
902D59—81no—
903C2×AGL(1,ℤ/8)—591no—
904C2×#135—591no—
905C22×D8—591no—
906#559—591no—
907#556—591no—
908#555—591no—
909#554—591no—
910#554—591no—
911#554C2×D5911yescharacteristic
912#553—591no—
913#553—591no—
914#553—1181no—
915#553—1181no—
916#552—591no—
917#552—1181no—
918#552C2×D5911yescharacteristic
919#551—1181no—
920#551—1181no—
921#551—1181no—
922#551—1181no—
923#547—591no—
924#546—591no—
925#546—591no—
926#546—591no—
927#546—591no—
928#546—1181no—
929D42—591no—
930#533—591no—
931#532—591no—
932#529—591no—
933#529—591no—
934#529—591no—
935#529—591no—
936#529—1181no—
937#529—1181no—
938#529—1181no—
939#525—1181no—
940#525—1181no—
941#525—1181no—
942C4×#41—591no—
943C4×#41—591no—
944C4×#41—591no—
945C4×#41—591no—
946C2×C4×D4—591no—
947C2×C4×D4—591no—
948C2×C4×D4—591no—
949C2×C4×D4—1181no—
950C2×#117—1181no—
951#501—591no—
952#501C2×D5911yescharacteristic, complemented
953#499—591no—
954#497—591no—
955#496—591no—
956#495—591no—
957#491—591no—
958#490—591no—
959#489—591no—
960#489—591no—
961#488—591no—
962#488—591no—
963#485—591no—
964#485C2×D5911yescharacteristic, complemented
965#484—591no—
966#484C2×D5911yescharacteristic, complemented
967#483C2×D5911yescharacteristic, complemented
968#483C2×D5911yescharacteristic, complemented
969#482—591no—
970#482—591no—
971#482—591no—
972#482—591no—
973#480—591no—
974#480—591no—
975#479—591no—
976#479C2×D5911yescharacteristic, complemented
977#478—591no—
978#478—591no—
979#478—591no—
980#478—591no—
981#478—591no—
982#478—591no—
983#475C2×D5911yescharacteristic, complemented
984#474—591no—
985#474—591no—
986#474—591no—
987#470C2×D5911yescharacteristic, complemented
988#469—591no—
989#468—591no—
990#468—591no—
991#467—591no—
992#467C2×D5911yescharacteristic, complemented
993#466—591no—
994#466—591no—
995#465—591no—
996#465—591no—
997#465—591no—
998#465—591no—
999#464—591no—
1000#464—591no—
1001#463—591no—
1002#463—591no—
1003#463—591no—
1004#463—591no—
1005#463—591no—
1006#463—591no—
1007#461—591no—
1008#461—591no—
1009#460—591no—
1010#459—591no—
1011#452—591no—
1012#452—591no—
1013#450—591no—
1014#450—591no—
1015#450—591no—
1016#450—591no—
1017#449—591no—
1018#449—591no—
1019#449—591no—
1020#449—591no—
1021#447—591no—
1022#447—591no—
1023#446—591no—
1024#446—591no—
1025#442—591no—
1026#442—591no—
1027#442—591no—
1028#442—591no—
1029#442—591no—
1030#442—591no—
1031#442—591no—
1032#442—591no—
1033#442—591no—
1034#442—591no—
1035#442—591no—
1036#441—591no—
1037#441—591no—
1038#441C2×D5911yescharacteristic, complemented
1039#440—591no—
1040#440—591no—
1041#440—591no—
1042#440—591no—
1043#440—591no—
1044#440—591no—
1045#440—591no—
1046#440—591no—
1047#440—591no—
1048#440—591no—
1049C4×SD16—591no—
1050C4×SD16—591no—
1051C4×D8—591no—
1052C4×D8—591no—
1053#435—591no—
1054#435—591no—
1055#435—591no—
1056#435C2×D5911yescharacteristic
1057C8×D4—591no—
1058C8×D4—591no—
1059#432—591no—
1060#432—591no—
1061#432—591no—
1062#428C2×D5911yescharacteristic, complemented
1063#427—591no—
1064C2×#106C2×D5911yescharacteristic, complemented
1065#418—591no—
1066#417—591no—
1067#416—591no—
1068#416—591no—
1069C2×#102—591no—
1070C2×#102—591no—
1071C4×M16—591no—
1072C2×#97—591no—
1073C2×#97—591no—
1074C59#6145411yescharacteristic, complemented, Sylow
1075C2×#41—591no—
1076C2×#41—591no—
1077C2×#41—591no—
1078C2×#41—591no—
1079C2×#41—1181no—
1080C22×D4—591no—
1081C22×D4—591no—
1082C22×D4—591no—
1083C22×D4—1181no—
1084C23×C4—1181no—
1085C23×C4—1181no—
1086C23×C4—1181no—
1087AGL(1,ℤ/8)—1184no—
1088#135—1184no—
1089C2×Q16—591no—
1090C2×Q16C22×D5911yescharacteristic
1091C2×SD16—591no—
1092C2×SD16—591no—
1093C2×SD16—591no—
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16—591no—
1097C2×SD16—591no—
1098C2×SD16—591no—
1099C2×D8—591no—
1100C2×D8—591no—
1101C2×D8—591no—
1102C2×D8—591no—
1103C2×D8—591no—
1104C2×D8—591no—
1105C2×D8—1184no—
1106C2×M16—591no—
1107C2×M16C22×D5911yescharacteristic
1108C22×C8—591no—
1109C22×C8—591no—
1110C22×C8—591no—
1111C22×C8C22×D5911yescharacteristic
1112C4⋊Q8—591no—
1113C4⋊Q8—591no—
1114C4⋊Q8C22×D5911yescharacteristic
1115#127—591no—
1116#126—21no—
1117#126—1181no—
1118#126—1181no—
1119#126—1181no—
1120#126—1181no—
1121#126—1181no—
1122#126—1181no—
1123#126—1181no—
1124#126—1181no—
1125#126—1181no—
1126#125—21no—
1127#125—21no—
1128#125—591no—
1129#125—591no—
1130#125—591no—
1131#125—1181no—
1132#125—1181no—
1133#125C22×D5911yescharacteristic
1134#124—591no—
1135#124—591no—
1136#124—591no—
1137#124—591no—
1138#124—1181no—
1139#124—1181no—
1140#124—1181no—
1141#124—1181no—
1142#123—21no—
1143#123—1181no—
1144#123—1181no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151#123—1181no—
1152#123—1181no—
1153#123—1181no—
1154#123—1181no—
1155#123—1181no—
1156#123—1181no—
1157#123—1181no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—591no—
1161C22⋊Q8—591no—
1162C22⋊Q8—1181no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8—1181no—
1169C22⋊Q8—1181no—
1170C22⋊Q8C22×D5911yescharacteristic
1171C22⋊Q8C22×D5911yescharacteristic
1172C22⋊Q8C22×D5911yescharacteristic
1173C22⋊Q8C22×D5911yescharacteristic
1174#121—591no—
1175#121—591no—
1176#121—591no—
1177#121—591no—
1178#121—591no—
1179#121—591no—
1180#121—1181no—
1181#121—1181no—
1182#121—1181no—
1183#121—1181no—
1184#121—1181no—
1185#121—1181no—
1186#121—1181no—
1187#121—1181no—
1188#121—1181no—
1189#121—1181no—
1190#120—1181no—
1191#120—1181no—
1192#120—1181no—
1193#120—1181no—
1194#120—1181no—
1195#120—1181no—
1196C4×Q8—591no—
1197C4×Q8—591no—
1198C4×Q8—591no—
1199C4×Q8—591no—
1200C4×Q8—591no—
1201C4×Q8—591no—
1202C4×Q8—1181no—
1203C4×Q8C22×D5911yescharacteristic
1204C4×Q8C22×D5911yescharacteristic
1205C4×D4—21no—
1206C4×D4—591no—
1207C4×D4—591no—
1208C4×D4—591no—
1209C4×D4—591no—
1210C4×D4—591no—
1211C4×D4—591no—
1212C4×D4—591no—
1213C4×D4—591no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—591no—
1221C4×D4—591no—
1222C4×D4—591no—
1223C4×D4—591no—
1224C4×D4—591no—
1225C4×D4—1181no—
1226C4×D4—1181no—
1227C4×D4—1181no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4—1181no—
1239C4×D4—1181no—
1240C4×D4—1181no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4—1181no—
1244C4×D4—1181no—
1245C4×D4C22×D5911yescharacteristic
1246#117—21no—
1247#117—591no—
1248#117—591no—
1249#117—591no—
1250#117—591no—
1251#117—591no—
1252#117—1181no—
1253#117—1181no—
1254#117—1181no—
1255#117—1181no—
1256#117—1181no—
1257#117—1181no—
1258#117—1181no—
1259#117—1181no—
1260#117—1181no—
1261#117—1181no—
1262#117—1181no—
1263#117C22×D5911yescharacteristic
1264C2×C4⋊C4—1181no—
1265C2×C4⋊C4—1181no—
1266C2×C4⋊C4—1181no—
1267C2×C4⋊C4C22×D5911yescharacteristic
1268C2×C4⋊C4C22×D5911yescharacteristic
1269C2×C4⋊C4C22×D5911yescharacteristic
1270C2×C22⋊C4—1181no—
1271C2×C22⋊C4—1181no—
1272C2×C22⋊C4—1181no—
1273C2×C22⋊C4—1181no—
1274C2×C22⋊C4—1181no—
1275C2×C22⋊C4—1181no—
1276C2×C22⋊C4—1181no—
1277C2×C42—591no—
1278C2×C42—591no—
1279C2×C42—591no—
1280C2×C42—1181no—
1281C2×C42—1181no—
1282C2×C42—1181no—
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107—591no—
1288#107C22×D5911yescharacteristic
1289#107C22×D5911yescharacteristic
1290#107C22×D5911yescharacteristic
1291#106—591no—
1292#106—591no—
1293#106C22×D5911yescharacteristic
1294#106C22×D5911yescharacteristic
1295#106C22×D5911yescharacteristic
1296#106C22×D5911yescharacteristic
1297#106C22×D5911yescharacteristic
1298#106C22×D5911yescharacteristic
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302C4⋊C8—591no—
1303C4⋊C8—591no—
1304C4⋊C8C22×D5911yescharacteristic
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103C22×D5911yescharacteristic
1312#103C22×D5911yescharacteristic
1313#103C22×D5911yescharacteristic
1314#103C22×D5911yescharacteristic
1315#103C22×D5911yescharacteristic
1316#103C22×D5911yescharacteristic
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102—591no—
1326#102—591no—
1327#102—591no—
1328#102—591no—
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102—591no—
1333#102—591no—
1334#102—591no—
1335#102—591no—
1336#102—591no—
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340C22⋊C8—591no—
1341C22⋊C8C22×D5911yescharacteristic
1342C22⋊C8C22×D5911yescharacteristic
1343#97—591no—
1344#97—591no—
1345#97—591no—
1346#97—591no—
1347#97—591no—
1348#97—591no—
1349#97—591no—
1350#97C22×D5911yescharacteristic
1351C4×C8—591no—
1352C4×C8—591no—
1353C24—1181no—
1354C24—1181no—
1355C24—1181no—
1356#41—1182no—
1357#41—1182no—
1358#41—1182no—
1359#41—4722no—
1360#41—2361no—
1361#41—2362no—
1362#41—2361no—
1363#41—2361no—
1364C2×Q8—21no—
1365C2×Q8—591no—
1366C2×Q8—591no—
1367C2×Q8—1181no—
1368C2×Q8C23×D5911yescharacteristic
1369C2×Q8C23×D5911yescharacteristic
1370C2×D4—591no—
1371C2×D4—591no—
1372C2×D4—591no—
1373C2×D4—591no—
1374C2×D4—591no—
1375C2×D4—591no—
1376C2×D4—591no—
1377C2×D4—1182no—
1378C2×D4—1182no—
1379C2×D4—1182no—
1380C2×D4—1181no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—1181no—
1386C2×D4—1181no—
1387C2×D4—1181no—
1388C2×D4—1181no—
1389C2×D4—1181no—
1390C2×D4—1181no—
1391C2×D4—1181no—
1392C2×D4—1181no—
1393C2×D4—1181no—
1394C2×D4—2361no—
1395C2×D4—2361no—
1396C2×D4—2361no—
1397C2×D4—2364no—
1398C2×D4D4×D5911yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—591no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—591no—
1409C22×C4—1181no—
1410C22×C4—1181no—
1411C22×C4—1181no—
1412C22×C4—1181no—
1413C22×C4—1181no—
1414C22×C4—1181no—
1415C22×C4—1181no—
1416C22×C4—1181no—
1417C22×C4—1181no—
1418C22×C4—1181no—
1419C22×C4—1181no—
1420C22×C4—1181no—
1421C22×C4—1181no—
1422C22×C4—1181no—
1423C22×C4—1181no—
1424C22×C4—1181no—
1425C22×C4—1181no—
1426C22×C4—4722no—
1427C22×C4—4722no—
1428C22×C4—2364no—
1429C22×C4C23×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431Q16—22no—
1432Q16—2361no—
1433SD16—1182no—
1434SD16—1182no—
1435SD16—1182no—
1436SD16—1182no—
1437SD16—2361no—
1438SD16—2361no—
1439SD16—2361no—
1440SD16—2361no—
1441D8—594no—
1442D8—1182no—
1443D8—1182no—
1444D8—1182no—
1445D8—1182no—
1446D8—2361no—
1447M16—22no—
1448M16—2361no—
1449C2×C8—22no—
1450C2×C8—591no—
1451C2×C8—591no—
1452C2×C8—591no—
1453C2×C8—591no—
1454C2×C8—1182no—
1455C2×C8—2361no—
1456C2×C8—2361no—
1457C2×C8C23×D5911yescharacteristic
1458C2×C8C23×D5911yescharacteristic
1459C2×C8C23×D5911yescharacteristic
1460C2×C8C23×D5911yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—591no—
1474C4⋊C4—591no—
1475C4⋊C4—591no—
1476C4⋊C4—591no—
1477C4⋊C4—591no—
1478C4⋊C4—591no—
1479C4⋊C4—591no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4D4×D5911yescharacteristic
1496C4⋊C4C23×D5911yescharacteristic
1497C4⋊C4C23×D5911yescharacteristic
1498C4⋊C4C23×D5911yescharacteristic
1499C4⋊C4C23×D5911yescharacteristic
1500C4⋊C4C23×D5911yescharacteristic
1501C4⋊C4C23×D5911yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—591no—
1508C22⋊C4—591no—
1509C22⋊C4—591no—
1510C22⋊C4—591no—
1511C22⋊C4—1181no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
1514C22⋊C4—1181no—
1515C22⋊C4—1181no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4—1181no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C22⋊C4—1181no—
1543C22⋊C4D4×D5911yescharacteristic
1544C22⋊C4D4×D5911yescharacteristic
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—591no—
1549C42—591no—
1550C42—591no—
1551C42—591no—
1552C42—591no—
1553C42—591no—
1554C42—591no—
1555C42—591no—
1556C42—591no—
1557C42—1181no—
1558C42—1181no—
1559C42—1181no—
1560C42—1181no—
1561C42—1181no—
1562C42—1181no—
1563C42C23×D5911yescharacteristic
1564C23—591no—
1565C23—1181no—
1566C23—1181no—
1567C23—1181no—
1568C23—1181no—
1569C23—1181no—
1570C23—4721no—
1571C23—4721no—
1572C23—4721no—
1573C23—2362no—
1574C23—2362no—
1575C23—2362no—
1576C23—2362no—
1577C23—2362no—
1578C23—2362no—
1579C23C2×D4×D5911yescharacteristic
1580C23C2×D4×D5911yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—81no—
1586Q8—1181no—
1587Q8—1181no—
1588Q8—4721no—
1589Q8—2361no—
1590D4—22no—
1591D4—592no—
1592D4—592no—
1593D4—1182no—
1594D4—1181no—
1595D4—1181no—
1596D4—1181no—
1597D4—1181no—
1598D4—1181no—
1599D4—1181no—
1600D4—1181no—
1601D4—1181no—
1602D4—4721no—
1603D4—4721no—
1604D4—4721no—
1605D4—4721no—
1606D4—4721no—
1607D4—2362no—
1608D4—2362no—
1609D4—2362no—
1610D4—2362no—
1611D4—2362no—
1612D4—2362no—
1613D4—2361no—
1614D4—2362no—
1615D4—2362no—
1616D4—2362no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—42no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—591no—
1633C2×C4—591no—
1634C2×C4—591no—
1635C2×C4—591no—
1636C2×C4—591no—
1637C2×C4—591no—
1638C2×C4—591no—
1639C2×C4—1182no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—4721no—
1646C2×C4—4721no—
1647C2×C4—4721no—
1648C2×C4—4721no—
1649C2×C4—4721no—
1650C2×C4—4721no—
1651C2×C4—2361no—
1652C2×C4—2361no—
1653C2×C4—2362no—
1654C2×C4—2362no—
1655C2×C4—2362no—
1656C2×C4—2362no—
1657C2×C4—2362no—
1658C2×C4—2362no—
1659C2×C4—2362no—
1660C2×C4—2362no—
1661C2×C4—2362no—
1662C2×C4—2362no—
1663C2×C4—2362no—
1664C2×C4—2361no—
1665C2×C4—2361no—
1666C2×C4—2361no—
1667C2×C4C2×D4×D5911yescharacteristic
1668C2×C4C2×D4×D5911yescharacteristic
1669C2×C4C2×D4×D5911yescharacteristic
1670C2×C4C2×D4×D5911yescharacteristic
1671C2×C4C24×D5911yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—1181no—
1676C8—1181no—
1677C8—1181no—
1678C8—1181no—
1679C8#41×D5912yes—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—1181no—
1686C22—1181no—
1687C22—1182no—
1688C22—1182no—
1689C22—1181no—
1690C22—4724no—
1691C22—4724no—
1692C22—4724no—
1693C22—2361no—
1694C22—2361no—
1695C22—2361no—
1696C22—2361no—
1697C22—2361no—
1698C22—2361no—
1699C22—2361no—
1700C22—2361no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22—2361no—
1705C22—2361no—
1706C22#1683820112yes—
1707C22C22×D4×D5911yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—1181no—
1721C4—1181no—
1722C4—1181no—
1723C4—1181no—
1724C4—1181no—
1725C4—1181no—
1726C4—1181no—
1727C4—2361no—
1728C4—2361no—
1729C4—2361no—
1730C4C2×#41×D5911yescharacteristic
1731C4#1683823911yescharacteristic
1732C2—22no—
1733C2—41no—
1734C2—4721no—
1735C2—4721no—
1736C2—4721no—
1737C2—2361no—
1738C2—2362no—
1739C2—2362no—
1740C2#2143758311yescharacteristic
1741C2C2×#1683820111yescharacteristic
1742C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3344C2
socleC22×C59C23×D4
hypercenter#3344D59
hypocenterC59#61454
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3344

Complements

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

NH ≅ G/Ntype
1. #21437707C2semidirect
2. #21437661C2semidirect
3. #21437163C2semidirect
4. #21437051C2semidirect
5. #21436930C2semidirect
6. #21436852C2semidirect
7. #21436597C2semidirect
8. #21436471C2semidirect
9. #21436255C2semidirect
10. #21436171C2semidirect
11. #21436111C2semidirect
12. #21436075C2semidirect
13. #21435944C2semidirect
14. #21435929C2semidirect
15. #21435778C2semidirect
16. #21435628C2semidirect
17. #21435581C2semidirect
18. #21434826C2semidirect
19. #21434800C2semidirect
20. #21434796C2semidirect
21. #21434250C2semidirect
22. #21434237C2semidirect
23. #21434237C2semidirect
24. #21434212C2semidirect
25. #21434208C2semidirect
26. #21434192C2semidirect
27. #21433106C2semidirect
28. #21432903C2semidirect
29. #21432895C2semidirect
30. C2×#16837513C2semidirect
31. C59×#3344C2semidirect
35. #16838137C22semidirect
36. #16838124C22semidirect
37. #16838115C22semidirect
38. #16838113C22semidirect
39. #16838108C22semidirect
43. #16838100C22semidirect
44. #16838087C22semidirect
50. #16838054C22semidirect
54. #16838043C22semidirect
55. #16838043C22semidirect
57. #16837954C22semidirect
58. #16837953C22semidirect
60. #16837938C22semidirect
61. #16837938C22semidirect
64. #16837937C22semidirect
69. C4×#11745689C22semidirect
70. C4×#11745689C22semidirect
71. #16837870C22semidirect
74. C2×#14273689C22semidirect
75. C2×#14273689C22semidirect
78. #16837810C22semidirect
79. #16837802C22semidirect
80. #16837795C22semidirect
82. #16837787C22semidirect
83. #16837769C22semidirect
84. #16837768C22semidirect
85. #16837764C22semidirect
86. #16837763C22semidirect
87. #16837758C22semidirect
88. #16837758C22semidirect
89. #16837746C22semidirect
90. #16837737C22semidirect
91. #16837729C22semidirect
92. #16837728C22semidirect
93. #16837728C22semidirect
94. #16837726C22semidirect
96. #16837715C22semidirect
97. #16837712C22semidirect
98. #16837705C22semidirect
99. #16837701C22semidirect
100. #16837701C22semidirect
101. #16837701C22semidirect
102. #16837701C22semidirect
103. #16837699C22semidirect
104. #16837681C22semidirect
105. #16837681C22semidirect
106. #16837679C22semidirect
108. #16837650C22semidirect
109. #16837650C22semidirect
110. #16837641C22semidirect
111. #16837639C22semidirect
112. #16837639C22semidirect
114. #16837632C22semidirect
115. #16837632C22semidirect
117. #16837627C22semidirect
118. #16837624C22semidirect
120. #16837620C22semidirect
121. #16837620C22semidirect
122. #16837620C22semidirect
123. #16837620C22semidirect
125. #16837606C22semidirect
126. #16837606C22semidirect
127. #16837602C22semidirect
129. #16837567C22semidirect
130. #16837562C22semidirect
133. #16837552C22semidirect
134. #16837552C22semidirect
136. #16837550C22semidirect
137. #16837550C22semidirect
141. #16837531C22semidirect
142. #16837530C22semidirect
148. #16837513C22semidirect
149. #16837513C22semidirect
150. #16837513C22semidirect
151. #16837513C22semidirect
152. #16837513C22semidirect
153. #16837513C22semidirect
154. #16837509C22semidirect
155. #16837506C22semidirect
156. #16837505C22semidirect
157. #16837505C22semidirect
158. #16837505C22semidirect
159. #16837505C22semidirect
160. #16837505C22semidirect
161. #16837501C22semidirect
162. #16837501C22semidirect
163. #16837501C22semidirect
164. #16837500C22semidirect
165. #16837500C22semidirect
166. #16837489C22semidirect
167. #16837489C22semidirect
169. #16837484C22semidirect
170. #16837476C22semidirect
172. #16837471C22semidirect
173. C8×C22⋊D59C22semidirect
174. (C22⋊D59)⋊C8C22semidirect
175. #16837458C22semidirect
176. #16837456C22semidirect
177. #16837456C22semidirect
178. #16837437C22semidirect
179. #16837406C22semidirect
180. #16837401C22semidirect
181. #16837397C22semidirect
182. #16837397C22semidirect
184. C2×#14273647C22semidirect
185. M16×Dic59C22semidirect
186. C2×#14273637C22semidirect
187. #97×D59C22semidirect
190. C59×#501C22semidirect
191. C59×#485C22semidirect
192. C59×#484C22semidirect
193. C59×#483C22semidirect
194. C59×#483C22semidirect
195. C59×#479C22semidirect
196. C59×#475C22semidirect
197. C59×#470C22semidirect
198. C59×#467C22semidirect
199. C59×#441C22semidirect
201. C59×#428C22semidirect
202. C2×#106×C59C22semidirect
686. D472#41semidirect
868. #3344D59semidirect
952. #501C2×D59semidirect
964. #485C2×D59semidirect
966. #484C2×D59semidirect
967. #483C2×D59semidirect
968. #483C2×D59semidirect
976. #479C2×D59semidirect
983. #475C2×D59semidirect
987. #470C2×D59semidirect
992. #467C2×D59semidirect
1038. #441C2×D59semidirect
1062. #428C2×D59semidirect
1064. C2×#106C2×D59semidirect
1074. C59#61454semidirect

Maximal subgroups

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

subgroupindex
#214377072
#214376612
#214371632
#214370512
#214369302
#214368522
#214365972
#214364712
#214362552
#214361712
#214361112
#214360752
#214359442
#214359292
#214357782
#214356282
#214355812
#214348262
#214348002
#214347962
#214342502
#214342372
#214342122
#214342082
#214341922
#214331062
#214329032
#214328952
C2×#168375132
C59×#33442
#6145459