Finite Group Databasebeta

← #29470398

Subgroups — #29470398

Order 15104.

1868 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437659C211yesmaximal, characteristic, complemented
2#21437647C211yesmaximal, characteristic, complemented
3#21437172C211yesmaximal, characteristic, complemented
4#21437055C211yesmaximal, characteristic, complemented
5#21436920C211yesmaximal, characteristic, complemented
6#21436916C211yesmaximal, characteristic, complemented
7#21436666C211yesmaximal, characteristic, complemented
8#21436617C211yesmaximal, characteristic, complemented
9#21436613C211yesmaximal, characteristic, complemented
10#21436316C211yesmaximal, characteristic, complemented
11#21436305C211yesmaximal, characteristic, complemented
12#21436256C211yesmaximal, characteristic, complemented
13#21436252C211yesmaximal, characteristic, complemented
14#21436196C211yesmaximal, characteristic, complemented
15#21436192C211yesmaximal, characteristic, complemented
16#21435701C211yesmaximal, characteristic, complemented
17#21435621C211yesmaximal, characteristic, complemented
18#21434699C211yesmaximal, characteristic, complemented
19#21434697C211yesmaximal, characteristic, complemented
20#21434659C211yesmaximal, characteristic, complemented
21#21434164C211yesmaximal, characteristic, complemented
22#21434160C211yesmaximal, characteristic, complemented
23#21434144C211yesmaximal, characteristic, complemented
24#21434142C211yesmaximal, characteristic, complemented
25#21434115C211yesmaximal, characteristic, complemented
26#21434107C211yesmaximal, characteristic, complemented
27#21433056C211yesmaximal, characteristic, complemented
28#21432907C211yesmaximal, characteristic, complemented
29AGL(1,ℤ/8)×Dic59C211yesmaximal, characteristic, complemented
30#135×Dic59C211yesmaximal, characteristic, complemented
31C59×#3267C211yesmaximal, characteristic, complemented
32C2×#14273751C2211yescharacteristic
33#16838126C2211yescharacteristic, complemented
34#16838121C2211yescharacteristic, complemented
35#16838117C2211yescharacteristic
36#16838116C2211yescharacteristic
37#16838111C2211yescharacteristic, complemented
38#16838109C2211yescharacteristic, complemented
39#16838104—21no—
40#16838095—21no—
41#16838094C2211yescharacteristic
42#16838092C2211yescharacteristic, complemented
43#16838089—21no—
44#16838087—21no—
45#16838086C2211yescharacteristic
46#16838086C2211yescharacteristic, complemented
47#16838083—21no—
48#16838078—21no—
49#16838075—21no—
50#16838075—21no—
51#16838051C2211yescharacteristic
52#16838046C2211yescharacteristic
53#16838040C2211yescharacteristic
54#16838040C2211yescharacteristic, complemented
55#16837957C2211yescharacteristic, complemented
56#16837954C2211yescharacteristic, complemented
57#16837938C2211yescharacteristic
58#16837938C2211yescharacteristic, complemented
59#16837933—21no—
60#16837933C2211yescharacteristic, complemented
61#16837931C2211yescharacteristic
62#16837929—21no—
63#16837929—21no—
64#16837929—21no—
65#16837912—21no—
66#16837908—21no—
67#41×Dic59C2211yescharacteristic
68#41×Dic59C2211yescharacteristic, complemented
69#41×Dic59C2211yescharacteristic, complemented
70C4×#11745687C2211yescharacteristic
71C4×#11745687C2211yescharacteristic
72C2×D4×Dic59C2211yescharacteristic, complemented
73C4×D4×D59C2211yescharacteristic, complemented
74C2×#14273685—21no—
75C2×#14273683—21no—
76#16837811C2211yescharacteristic, complemented
77#16837809C2211yescharacteristic, complemented
78#16837802C2211yescharacteristic, complemented
79#16837795C2211yescharacteristic, complemented
80#16837783C2211yescharacteristic
81#16837770C2211yescharacteristic, complemented
82#16837769C2211yescharacteristic, complemented
83#16837763C2211yescharacteristic, complemented
84#16837761C2211yescharacteristic, complemented
85#16837758C2211yescharacteristic, complemented
86#16837755C2211yescharacteristic, complemented
87#16837744C2211yescharacteristic, complemented
88#16837744C2211yescharacteristic, complemented
89#16837741C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837740C2211yescharacteristic, complemented
92#16837740C2211yescharacteristic, complemented
93#16837736C2211yescharacteristic, complemented
94#16837735C2211yescharacteristic, complemented
95#16837727C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837721C2211yescharacteristic
98#16837719C2211yescharacteristic
99#16837711C2211yescharacteristic, complemented
100#16837707C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic, complemented
102#16837704C2211yescharacteristic, complemented
103#16837704C2211yescharacteristic, complemented
104#16837703C2211yescharacteristic, complemented
105#16837702C2211yescharacteristic, complemented
106#16837700C2211yescharacteristic, complemented
107#16837688C2211yescharacteristic, complemented
108#16837685C2211yescharacteristic, complemented
109#16837682C2211yescharacteristic, complemented
110#16837680C2211yescharacteristic, complemented
111#16837658C2211yescharacteristic, complemented
112#16837657C2211yescharacteristic, complemented
113#16837657C2211yescharacteristic, complemented
114#16837650C2211yescharacteristic
115#16837648C2211yescharacteristic
116#16837645C2211yescharacteristic
117#16837645C2211yescharacteristic
118#16837641C2211yescharacteristic, complemented
119#16837636C2211yescharacteristic
120#16837631C2211yescharacteristic, complemented
121#16837626C2211yescharacteristic, complemented
122#16837622C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic
124#16837619C2211yescharacteristic
125#16837619C2211yescharacteristic
126#16837615C2211yescharacteristic
127#16837614C2211yescharacteristic
128#16837610C2211yescharacteristic, complemented
129#16837609C2211yescharacteristic, complemented
130#16837605C2211yescharacteristic, complemented
131#16837564C2211yescharacteristic
132#16837564C2211yescharacteristic, complemented
133#16837561C2211yescharacteristic
134#16837561C2211yescharacteristic
135#16837551C2211yescharacteristic, complemented
136#16837547C2211yescharacteristic
137#16837536C2211yescharacteristic
138#16837534C2211yescharacteristic
139#16837531C2211yescharacteristic, complemented
140#16837530C2211yescharacteristic, complemented
141#16837514C2211yescharacteristic
142#16837514C2211yescharacteristic
143#16837512C2211yescharacteristic
144#16837504C2211yescharacteristic, complemented
145#16837503C2211yescharacteristic, complemented
146#16837503C2211yescharacteristic, complemented
147#16837502C2211yescharacteristic, complemented
148Q16×Dic59C2211yescharacteristic, complemented
149Q16×Dic59C2211yescharacteristic, complemented
150Q16×Dic59C2211yescharacteristic, complemented
151#16837494C2211yescharacteristic, complemented
152#16837494C2211yescharacteristic, complemented
153#16837493C2211yescharacteristic, complemented
154SD16×Dic59C2211yescharacteristic, complemented
155SD16×Dic59C2211yescharacteristic, complemented
156SD16×Dic59C2211yescharacteristic, complemented
157SD16×Dic59C2211yescharacteristic, complemented
158SD16×Dic59C2211yescharacteristic, complemented
159SD16×Dic59C2211yescharacteristic, complemented
160SD16×Dic59C2211yescharacteristic, complemented
161#16837489C2211yescharacteristic, complemented
162#16837487C2211yescharacteristic, complemented
163D8×Dic59C2211yescharacteristic
164D8×Dic59C2211yescharacteristic
165D8×Dic59C2211yescharacteristic
166#16837482C2211yescharacteristic
167#16837482C2211yescharacteristic
168#16837478C2211yescharacteristic
169#16837477C2211yescharacteristic
170#16837474C2211yescharacteristic, complemented
171#16837473C2211yescharacteristic, complemented
172#16837470C2211yescharacteristic, complemented
173#16837454C2211yescharacteristic, complemented
174#16837452C2211yescharacteristic, complemented
175#16837452C2211yescharacteristic, complemented
176#16837444C2211yescharacteristic, complemented
177#16837441C2211yescharacteristic, complemented
178#16837440C2211yescharacteristic, complemented
179#16837407C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837403C2211yescharacteristic
182#16837400C2211yescharacteristic
183#16837398C2211yescharacteristic, complemented
184#16837398C2211yescharacteristic, complemented
185#16837354C2211yescharacteristic, complemented
186M16×Dic59C2211yescharacteristic, complemented
187C2×C8×Dic59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
189C2×#135×C59C2211yescharacteristic
190C59×#547C2211yescharacteristic
191C59×#546C2211yescharacteristic, complemented
192C59×#497C2211yescharacteristic, complemented
193C59×#470C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic
196C59×#461C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic
198C59×#452C2211yescharacteristic, complemented
199C59×#450C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic
201C59×#442C2211yescharacteristic
202C59×#435C2211yescharacteristic, complemented
203C2×#11745687D411yescharacteristic
204C2×#11745687C2311yescharacteristic
205C2×D4×D59C2311yescharacteristic
206C23×Dic59—21no—
207C22×C4×D59—21no—
208#14273751—24no—
209C2×#11745672C2311yescharacteristic
210C2×#11745672C2311yescharacteristic
211C2×#11745660C2311yescharacteristic
212C2×#11745670C2311yescharacteristic
213C2×#11745671C2311yescharacteristic
214C2×#11745669C2311yescharacteristic
215C2×#11745669C2311yescharacteristic
216C2×#11745664C2311yescharacteristic
217C2×#11745659C2311yescharacteristic
218C2×#11745659C2311yescharacteristic
219C22×C59⋊C8C2311yescharacteristic
220#14273727C2311yescharacteristic
221#14273726C2311yescharacteristic
222#14273725C2311yescharacteristic
223#14273722—21no—
224#14273722—21no—
225#14273722—21no—
226#14273722—21no—
227#14273722—21no—
228#14273720—21no—
229#14273720—21no—
230#14273720—21no—
231#14273720—21no—
232#14273720—21no—
233#14273720—21no—
234#14273720—21no—
235#14273719C2311yescharacteristic
236#14273718—21no—
237#14273718—21no—
238#14273718C2311yescharacteristic
239#14273718C2311yescharacteristic
240#14273718C2311yescharacteristic
241#14273717—21no—
242#14273717—21no—
243#14273717—21no—
244#14273717—21no—
245#14273716C2311yescharacteristic
246#14273716C2311yescharacteristic
247#14273714—21no—
248#14273714C2311yescharacteristic
249#14273713—21no—
250#14273713—21no—
251#14273713—21no—
252#14273711—21no—
253#14273711—21no—
254#14273711—21no—
255#14273710—21no—
256#14273710—21no—
257#14273710—21no—
258#14273709—21no—
259#14273709—21no—
260#14273709—21no—
261#14273708—21no—
262#14273708—21no—
263#14273708—21no—
264#14273708—21no—
265#14273707—21no—
266#14273707—21no—
267#14273706—21no—
268#14273706—21no—
269#14273706C2311yescharacteristic
270#14273706C2311yescharacteristic
271#14273704—21no—
272#14273704—21no—
273#14273704—21no—
274#14273704—21no—
275#14273704—21no—
276#14273704—21no—
277#14273703C2311yescharacteristic
278#14273703C2311yescharacteristic
279#14273703C2311yescharacteristic
280#14273701C2311yescharacteristic
281#14273701C2311yescharacteristic
282#14273699—21no—
283#14273699—21no—
284#14273699—21no—
285#14273699—21no—
286#14273699—21no—
287#14273698—21no—
288#14273698C2311yescharacteristic
289#14273696—21no—
290#14273695—21no—
291#14273695—21no—
292Q8×Dic59C2311yescharacteristic
293Q8×Dic59C2311yescharacteristic
294Q8×Dic59C2311yescharacteristic
295Q8×Dic59C2311yescharacteristic
296Q8×Dic59C2311yescharacteristic
297Q8×Dic59C2311yescharacteristic
298C4×Dic118C2311yescharacteristic
299C4×Dic118C2311yescharacteristic
300#14273692—21no—
301#14273692—21no—
302#14273692D411yescharacteristic
303#14273692C2311yescharacteristic
304C4×D236C2311yescharacteristic
305D4×Dic59—21no—
306D4×Dic59—21no—
307D4×Dic59—21no—
308D4×Dic59—21no—
309D4×Dic59—21no—
310D4×Dic59—21no—
311D4×Dic59—21no—
312D4×Dic59—21no—
313D4×Dic59—21no—
314D4×Dic59D411yescharacteristic
315D4×Dic59C2311yescharacteristic
316D4×Dic59C2311yescharacteristic
317D4×Dic59C2311yescharacteristic
318D4×Dic59C2311yescharacteristic
319D4×Dic59C2311yescharacteristic
320D4×Dic59C2311yescharacteristic
321D4×Dic59C2311yescharacteristic
322D4×Dic59C2311yescharacteristic
323#14273689C2311yescharacteristic
324C4×C22⋊D59—21no—
325C4×C22⋊D59—21no—
326C4×C22⋊D59C2311yescharacteristic
327C4×C22⋊D59C2311yescharacteristic
328(C22⋊D59)⋊C4—21no—
329(C22⋊D59)⋊C4—21no—
330(C22⋊D59)⋊C4—21no—
331(C22⋊D59)⋊C4—21no—
332(C22⋊D59)⋊C4—21no—
333(C22⋊D59)⋊C4D411yescharacteristic
334(C22⋊D59)⋊C4D411yescharacteristic
335#14273686—21no—
336#14273686—21no—
337#14273686—21no—
338#14273686C2311yescharacteristic
339#14273686C2311yescharacteristic
340#14273686C2311yescharacteristic
341#14273685—21no—
342#14273685—21no—
343#14273685—21no—
344#14273685—21no—
345#14273685—21no—
346#14273685—21no—
347#14273685—21no—
348#14273685D411yescharacteristic
349#14273685C2311yescharacteristic
350#14273683—21no—
351#14273683—21no—
352#14273683—21no—
353#14273683—21no—
354#14273683—21no—
355#14273683—21no—
356#14273683—21no—
357#14273683—21no—
358#14273683D411yescharacteristic
359#14273683D411yescharacteristic
360C2×C4⋊Dic59—21no—
361C2×C4⋊Dic59C2311yescharacteristic
362C2×Dic59⋊C4—21no—
363C2×Dic59⋊C4—21no—
364C4⋊C4×D59C2311yescharacteristic
365C2×C22⋊Dic59—21no—
366C2×C22⋊Dic59—21no—
367C2×(C2×D59)⋊C4—21no—
368C2×(C2×D59)⋊C4—21no—
369C22⋊C4×D59—21no—
370C2×C4×Dic59—21no—
371C2×C4×Dic59—21no—
372C2×C4×Dic59—21no—
373C2×C4×Dic59—21no—
374C2×C4×Dic59C2311yescharacteristic
375C2×C4×Dic59C2311yescharacteristic
376C42×D59C2311yescharacteristic
377#14273661C2311yescharacteristic
378#14273661C2311yescharacteristic
379#14273661C2311yescharacteristic
380#14273661C2311yescharacteristic
381#14273660C2311yescharacteristic
382#14273660C2311yescharacteristic
383#14273660C2311yescharacteristic
384#14273660C2311yescharacteristic
385#14273659C2311yescharacteristic
386#14273659C2311yescharacteristic
387#14273659C2311yescharacteristic
388#14273659C2311yescharacteristic
389#14273659C2311yescharacteristic
390#14273658C2311yescharacteristic
391#14273658C2311yescharacteristic
392C4⋊(C59⋊C8)C2311yescharacteristic
393Dic59⋊C8C2311yescharacteristic
394Dic59⋊C8C2311yescharacteristic
395Dic59⋊C8C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397#14273652C2311yescharacteristic
398#14273652C2311yescharacteristic
399#14273652C2311yescharacteristic
400#14273651C2311yescharacteristic
401#14273651C2311yescharacteristic
402#14273651C2311yescharacteristic
403#14273651C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273648C2311yescharacteristic
414#14273648C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273647C2311yescharacteristic
423C22⋊(C59⋊C8)C2311yescharacteristic
424C22⋊(C59⋊C8)C2311yescharacteristic
425(C2×D59)⋊C8C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427#14273638C2311yescharacteristic
428#14273637C2311yescharacteristic
429#14273637C2311yescharacteristic
430C8×Dic59C2311yescharacteristic
431C8×Dic59C2311yescharacteristic
432C8×Dic59C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C2×#41×C59C2311yescharacteristic
437C2×#41×C59C2311yescharacteristic
438C2×#41×C59C2311yescharacteristic
439C22×D4×C59C2311yescharacteristic
440AGL(1,ℤ/8)×C59—24no—
441#135×C59—24no—
442C2×Q16×C59C2311yescharacteristic
443C2×Q16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×M16×C59C2311yescharacteristic
452C22×C8×C59C2311yescharacteristic
453C4⋊Q8×C59C2311yescharacteristic
454#124×C59C2311yescharacteristic
455#123×C59—21no—
456#123×C59—21no—
457#123×C59—21no—
458C22⋊Q8×C59C2311yescharacteristic
459C22⋊Q8×C59C2311yescharacteristic
460C22⋊Q8×C59C2311yescharacteristic
461#121×C59—21no—
462#121×C59—21no—
463#121×C59C2311yescharacteristic
464#120×C59—21no—
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468C2×C4⋊C4×C59—21no—
469C2×C22⋊C4×C59—21no—
470#106×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C24×C59—21no—
482C23×D59—21no—
483#41×C59—22no—
484#41×C59—22no—
485#41×C59—22no—
486#41×C59—41no—
487#41×C59—41no—
488#41×C59—41no—
489C2×Q8×C59C2411yescharacteristic
490C2×Q8×C59C2411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59—22no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—41no—
499C2×D4×C59C2×D411yescharacteristic
500C2×D4×C59C2411yescharacteristic
501C2×D4×C59C2411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59C2411yescharacteristic
509C22×C4×C59C2411yescharacteristic
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59C2×D411yescharacteristic
516C2×C22⋊D59C2×D411yescharacteristic
517C22×Dic59—21no—
518C22×Dic59—21no—
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—21no—
527C22×Dic59—44no—
528C22×Dic59C2×D411yescharacteristic
529C22×Dic59C2×D411yescharacteristic
530C22×Dic59C2×D411yescharacteristic
531C22×Dic59C2×D411yescharacteristic
532#11745687—22no—
533#11745687—41no—
534#11745687—42no—
535D4×D59—22no—
536D4×D59—41no—
537C2×D236C2411yescharacteristic
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—44no—
542C2×C4×D59C2×D411yescharacteristic
543C2×C4×D59C2×D411yescharacteristic
544C2×C4×D59C2411yescharacteristic
545C2×Dic118—21no—
546C2×Dic118—21no—
547C2×Dic118C2×D411yescharacteristic
548C2×Dic118C2411yescharacteristic
549Q16×C59—22no—
550Q16×C59—41no—
551SD16×C59—22no—
552SD16×C59—22no—
553SD16×C59—22no—
554SD16×C59—22no—
555SD16×C59—41no—
556D8×C59—22no—
557D8×C59#4114yescomplemented
558M16×C59—22no—
559C2×C8×C59—22no—
560C2×C8×C59C2411yescharacteristic
561C2×C8×C59C2411yescharacteristic
562C2×C8×C59C2411yescharacteristic
563C2×C8×C59C2411yescharacteristic
564C4⋊C4×C59—21no—
565C4⋊C4×C59—21no—
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59C2×D411yescharacteristic
570C4⋊C4×C59C2411yescharacteristic
571C4⋊C4×C59C2411yescharacteristic
572C22⋊C4×C59—21no—
573C22⋊C4×C59—21no—
574C22⋊C4×C59—21no—
575C22⋊C4×C59—21no—
576C22⋊C4×C59—21no—
577C22⋊C4×C59—21no—
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C22⋊C4×C59C2×D411yescharacteristic
581C22⋊C4×C59C2×D411yescharacteristic
582C42×C59C2411yescharacteristic
583C22⋊Dic59—21no—
584C22⋊Dic59—21no—
585C22⋊Dic59—21no—
586C22⋊Dic59—21no—
587C22⋊Dic59—21no—
588C22⋊Dic59—21no—
589C22⋊Dic59—21no—
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59C2×D411yescharacteristic
600C22⋊Dic59C2×D411yescharacteristic
601#11745672—41no—
602#11745672—41no—
603#11745671—41no—
604#11745670—22no—
605#11745669—22no—
606#11745669—41no—
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)⋊C4C2×D411yescharacteristic
620(C2×D59)⋊C4C2×D411yescharacteristic
621C4⋊Dic59—21no—
622C4⋊Dic59—21no—
623C4⋊Dic59—21no—
624C4⋊Dic59—21no—
625C4⋊Dic59—21no—
626C4⋊Dic59—21no—
627C4⋊Dic59—21no—
628C4⋊Dic59—21no—
629C4⋊Dic59—21no—
630C4⋊Dic59—21no—
631C4⋊Dic59—21no—
632C4⋊Dic59C2×D411yescharacteristic
633C4⋊Dic59C2411yescharacteristic
634C4⋊Dic59C2411yescharacteristic
635C4⋊Dic59C2411yescharacteristic
636C4⋊Dic59C2411yescharacteristic
637C4⋊Dic59C2411yescharacteristic
638C4⋊Dic59C2411yescharacteristic
639Dic59⋊C4—21no—
640Dic59⋊C4—21no—
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4—21no—
644Dic59⋊C4—21no—
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
656Dic59⋊C4C2×D411yescharacteristic
657Dic59⋊C4C2×D411yescharacteristic
658Dic59⋊C4C2×D411yescharacteristic
659C4×Dic59—21no—
660C4×Dic59—21no—
661C4×Dic59—21no—
662C4×Dic59—21no—
663C4×Dic59—21no—
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59C2×D411yescharacteristic
672C4×Dic59C2×D411yescharacteristic
673C4×Dic59C2×D411yescharacteristic
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2411yescharacteristic
678C4×Dic59C2411yescharacteristic
679C4×Dic59C2411yescharacteristic
680#11745664—41no—
681C2×C59⋊C8—41no—
682C2×C59⋊C8C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686#11745660—22no—
687#11745659—22no—
688#11745659—41no—
689C23×C59—21no—
690C23×C59—21no—
691C23×C59—21no—
692C23×C59—42no—
693C23×C59—42no—
694C23×C59—81no—
695C23×C59C22×D411yescharacteristic
696C23×C59C22×D411yescharacteristic
697C22×D59—21no—
698C22×D59—42no—
699C22×D59—42no—
700C22×D59—81no—
701C22×D59C22×D411yescharacteristic
702Q8×C59—21no—
703Q8×C59—21no—
704Q8×C59—21no—
705Q8×C59—21no—
706Q8×C59—21no—
707Q8×C59—21no—
708D4×C59—21no—
709D4×C59—21no—
710D4×C59—21no—
711D4×C59—21no—
712D4×C59—41no—
713D4×C59—42no—
714D4×C59—42no—
715D4×C59—42no—
716D4×C59—42no—
717D4×C59—81no—
718D4×C59C2×#4112yes—
719D4×C59C2×#4112yes—
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—21no—
728C2×C4×C59—21no—
729C2×C4×C59—42no—
730C2×C4×C59—42no—
731C2×C4×C59—42no—
732C2×C4×C59—42no—
733C2×C4×C59—81no—
734C2×C4×C59C22×D411yescharacteristic
735C2×C4×C59C22×D411yescharacteristic
736C2×C4×C59C22×D411yescharacteristic
737C2×C4×C59C22×D411yescharacteristic
738C2×C4×C59C2511yescharacteristic
739C22⋊D59—41no—
740C22⋊D59—41no—
741C22⋊D59—42no—
742C22⋊D59—42no—
743C22⋊D59—81no—
744C22⋊D59—81no—
745C22⋊D59—81no—
746C2×Dic59—22no—
747C2×Dic59—22no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—41no—
756C2×Dic59—41no—
757C2×Dic59—42no—
758C2×Dic59—42no—
759C2×Dic59—42no—
760C2×Dic59—42no—
761C2×Dic59—42no—
762C2×Dic59—42no—
763C2×Dic59—42no—
764C2×Dic59—81no—
765C2×Dic59—81no—
766C2×Dic59—81no—
767C2×Dic59C22×D411yescharacteristic
768C2×Dic59C22×D411yescharacteristic
769C2×Dic59C22×D411yescharacteristic
770C2×Dic59C22×D411yescharacteristic
771C2×Dic59C22×D411yescharacteristic
772C2×Dic59C22×D411yescharacteristic
773C2×Dic59C22×D411yescharacteristic
774D236—21no—
775D236—21no—
776C4×D59—21no—
777C4×D59—21no—
778C4×D59—22no—
779C4×D59—41no—
780C4×D59—42no—
781C4×D59—42no—
782C4×D59—42no—
783Dic118—21no—
784Dic118—21no—
785Dic118—41no—
786Dic118—81no—
787Dic118—81no—
788C8×C59—21no—
789C8×C59—21no—
790C8×C59—21no—
791C8×C59C2×#4112yes—
792C59⋊C8—21no—
793C59⋊C8—21no—
794C59⋊C8—21no—
795C59⋊C8—21no—
796#61442—591nomaximal, Sylow
797C22×C59—21no—
798C22×C59—21no—
799C22×C59—22no—
800C22×C59—22no—
801C22×C59—21no—
802C22×C59—21no—
803C22×C59—21no—
804C22×C59—21no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59—41no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—84no—
813C22×C59C23×D411yescharacteristic
814C2×D59—21no—
815C2×D59—21no—
816C2×D59—21no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—84no—
821C4×C59—21no—
822C4×C59—21no—
823C4×C59—21no—
824C4×C59—21no—
825C4×C59—41no—
826C4×C59—41no—
827C4×C59—41no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59C22×#4111yescharacteristic
831C4×C59#58511yescharacteristic
832Dic59—21no—
833Dic59—21no—
834Dic59—21no—
835Dic59—21no—
836Dic59—21no—
837Dic59—21no—
838Dic59—41no—
839Dic59—41no—
840Dic59—41no—
841Dic59—41no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845Dic59#57512yes—
846#3475—591no—
847#3475—591no—
848#3402—591no—
849#3389—591no—
850#3376—591no—
851#3376—591no—
852#3352—591no—
853#3348—591no—
854#3348—591no—
855#3323—591no—
856#3323—591no—
857#3319—591no—
858#3319—591no—
859#3315—591no—
860#3315—591no—
861#3273—591no—
862#3267—591no—
863#3267D5911yescharacteristic, complemented
864#3172—591no—
865#3172—591no—
866#3168—591no—
867#3107—591no—
868#3107—591no—
869#3105—591no—
870#3105—591no—
871#3102—591no—
872#3102—591no—
873#2965—591no—
874C4×AGL(1,ℤ/8)—591no—
875C4×AGL(1,ℤ/8)—591no—
876C4×#135—591no—
877C2×C59—42no—
878C2×C59—41no—
879C2×C59—41no—
880C2×C59—42no—
881C2×C59—81no—
882C2×C59D4×#4111yescharacteristic
883C2×C59C2×#57511yescharacteristic
884C2×C59#358411yescharacteristic
885D59—41no—
886D59—81no—
887C2×AGL(1,ℤ/8)—591no—
888C2×AGL(1,ℤ/8)C2×D5911yescharacteristic
889C2×#135C2×D5911yescharacteristic
890#556—591no—
891#556—591no—
892#555—591no—
893#555—591no—
894#554—591no—
895#554—591no—
896#553—1181no—
897#553—1181no—
898#552—591no—
899#552—591no—
900#552—591no—
901#552—591no—
902#552—1181no—
903#552—1181no—
904#551—1181no—
905#551—1181no—
906#551—1181no—
907#551—1181no—
908#547—591no—
909#547C2×D5911yescharacteristic
910#546—591no—
911#546—591no—
912#546—591no—
913#546C2×D5911yescharacteristic, complemented
914#533—591no—
915#533—591no—
916#529—591no—
917#529—591no—
918#529—591no—
919#529—591no—
920#529—1181no—
921#529—1181no—
922#529—1181no—
923#529—1181no—
924#525—1181no—
925#525—1181no—
926C4×#41—591no—
927C4×#41—591no—
928C4×#41—591no—
929C4×#41—591no—
930C4×#41—591no—
931C2×C4×D4—591no—
932C2×C4×D4—591no—
933C2×#117—1181no—
934C2×#117—1181no—
935#501—591no—
936#501—591no—
937#499—591no—
938#497—591no—
939#497C2×D5911yescharacteristic, complemented
940#495—591no—
941#491—591no—
942#491—591no—
943#489—591no—
944#489—591no—
945#488—591no—
946#488—591no—
947#485—591no—
948#485—591no—
949#485—591no—
950#485—591no—
951#485—591no—
952#485—591no—
953#484—591no—
954#484—591no—
955#482—591no—
956#482—591no—
957#481—591no—
958#481—591no—
959#479—591no—
960#479—591no—
961#478—591no—
962#478—591no—
963#478—591no—
964#478—591no—
965#478—591no—
966#478—591no—
967#475—591no—
968#475—591no—
969#474—591no—
970#474—591no—
971#470—591no—
972#470—591no—
973#470—591no—
974#470C2×D5911yescharacteristic, complemented
975#468—591no—
976#468—591no—
977#468—591no—
978#468—591no—
979#467—591no—
980#466—591no—
981#465—591no—
982#465C2×D5911yescharacteristic, complemented
983#464—591no—
984#464—591no—
985#463—591no—
986#463—591no—
987#463—591no—
988#463—591no—
989#463—591no—
990#463C2×D5911yescharacteristic
991#462—591no—
992#462—591no—
993#461—591no—
994#461C2×D5911yescharacteristic, complemented
995#452—591no—
996#452—591no—
997#452—591no—
998#452—591no—
999#452C2×D5911yescharacteristic
1000#452C2×D5911yescharacteristic, complemented
1001#450—591no—
1002#450C2×D5911yescharacteristic, complemented
1003#449—591no—
1004#449C2×D5911yescharacteristic
1005#447—591no—
1006#447—591no—
1007#446—591no—
1008#446—591no—
1009#442—591no—
1010#442—591no—
1011#442—591no—
1012#442C2×D5911yescharacteristic
1013#440—591no—
1014#440—591no—
1015#440—591no—
1016#440—591no—
1017C4×Q16—591no—
1018C4×Q16—591no—
1019C4×Q16—591no—
1020C4×Q16—591no—
1021C4×Q16—591no—
1022C4×SD16—591no—
1023C4×SD16—591no—
1024C4×SD16—591no—
1025C4×SD16—591no—
1026C4×SD16—591no—
1027C4×SD16—591no—
1028C4×SD16—591no—
1029C4×SD16—591no—
1030C4×SD16—591no—
1031C4×SD16—591no—
1032C4×D8—591no—
1033C4×D8—591no—
1034C4×D8—591no—
1035C4×D8—591no—
1036C4×D8—591no—
1037#436—591no—
1038#436—591no—
1039#435—591no—
1040#435—591no—
1041#435—591no—
1042#435C2×D5911yescharacteristic, complemented
1043#431—591no—
1044#431—591no—
1045#431—591no—
1046#428—591no—
1047#428—591no—
1048#427—591no—
1049#418—591no—
1050#418—591no—
1051#417—591no—
1052#417—591no—
1053#416—591no—
1054#416—591no—
1055C4×M16—591no—
1056C4×M16—591no—
1057C2×C4×C8—591no—
1058C59#6144211yescharacteristic, complemented, Sylow
1059C2×#41—591no—
1060C2×#41—591no—
1061C2×#41C22×D5911yescharacteristic
1062C2×#41C22×D5911yescharacteristic
1063C2×#41C22×D5911yescharacteristic
1064C22×D4—591no—
1065C22×D4C22×D5911yescharacteristic
1066C23×C4—1181no—
1067C23×C4—1181no—
1068AGL(1,ℤ/8)—24no—
1069AGL(1,ℤ/8)—1184no—
1070#135—24no—
1071C2×Q16—591no—
1072C2×Q16—591no—
1073C2×Q16C22×D5911yescharacteristic
1074C2×Q16C22×D5911yescharacteristic
1075C2×SD16—591no—
1076C2×SD16—591no—
1077C2×SD16—591no—
1078C2×SD16C22×D5911yescharacteristic
1079C2×SD16C22×D5911yescharacteristic
1080C2×SD16C22×D5911yescharacteristic
1081C2×SD16C22×D5911yescharacteristic
1082C2×SD16C22×D5911yescharacteristic
1083C2×D8—591no—
1084C2×D8—591no—
1085C2×D8C22×D5911yescharacteristic
1086C2×D8C22×D5911yescharacteristic
1087C2×M16—591no—
1088C2×M16—591no—
1089C2×M16—591no—
1090C2×M16C22×D5911yescharacteristic
1091C22×C8—591no—
1092C22×C8C22×D5911yescharacteristic
1093C4⋊Q8—591no—
1094C4⋊Q8—591no—
1095C4⋊Q8—591no—
1096C4⋊Q8C22×D5911yescharacteristic
1097#126—1181no—
1098#126—1181no—
1099#126—1181no—
1100#126—1181no—
1101#126—1181no—
1102#126—1181no—
1103#126—1181no—
1104#126—1181no—
1105#126—1181no—
1106#126—1181no—
1107#126—1181no—
1108#126—1181no—
1109#125—591no—
1110#125—591no—
1111#125—591no—
1112#125—591no—
1113#125—1181no—
1114#125—1181no—
1115#125—1181no—
1116#125—1181no—
1117#125—1181no—
1118#125—1181no—
1119#124—591no—
1120#124—591no—
1121#124—591no—
1122#124—1181no—
1123#124—1181no—
1124#124—1181no—
1125#124—1181no—
1126#124C22×D5911yescharacteristic
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—1181no—
1131#123—1181no—
1132#123—1181no—
1133#123—1181no—
1134#123—1181no—
1135#123—1181no—
1136#123—1181no—
1137#123—1181no—
1138#123—1181no—
1139#123—1181no—
1140#123—1181no—
1141#123—1181no—
1142#123—1181no—
1143C22⋊Q8—591no—
1144C22⋊Q8—591no—
1145C22⋊Q8—591no—
1146C22⋊Q8—591no—
1147C22⋊Q8—591no—
1148C22⋊Q8—1181no—
1149C22⋊Q8—1181no—
1150C22⋊Q8—1181no—
1151C22⋊Q8—1181no—
1152C22⋊Q8—1181no—
1153C22⋊Q8—1181no—
1154C22⋊Q8—1181no—
1155C22⋊Q8—1181no—
1156C22⋊Q8—1181no—
1157C22⋊Q8—1181no—
1158C22⋊Q8C22×D5911yescharacteristic
1159C22⋊Q8C22×D5911yescharacteristic
1160C22⋊Q8C22×D5911yescharacteristic
1161#121—21no—
1162#121—21no—
1163#121—591no—
1164#121—591no—
1165#121—591no—
1166#121—1181no—
1167#121—1181no—
1168#121—1181no—
1169#121—1181no—
1170#121—1181no—
1171#121—1181no—
1172#121C22×D5911yescharacteristic
1173#120—21no—
1174#120—1181no—
1175#120—1181no—
1176#120—1181no—
1177C4×Q8—591no—
1178C4×Q8—591no—
1179C4×Q8—591no—
1180C4×Q8—591no—
1181C4×Q8—591no—
1182C4×Q8—591no—
1183C4×Q8—591no—
1184C4×Q8—591no—
1185C4×Q8—591no—
1186C4×Q8—591no—
1187C4×Q8—1181no—
1188C4×Q8—1181no—
1189C4×D4—591no—
1190C4×D4—591no—
1191C4×D4—591no—
1192C4×D4—591no—
1193C4×D4—591no—
1194C4×D4—591no—
1195C4×D4—591no—
1196C4×D4—591no—
1197C4×D4—591no—
1198C4×D4—591no—
1199C4×D4—591no—
1200C4×D4—591no—
1201C4×D4—591no—
1202C4×D4—591no—
1203C4×D4—591no—
1204C4×D4—1181no—
1205C4×D4—1181no—
1206C4×D4—1181no—
1207C4×D4—1181no—
1208C4×D4—1181no—
1209C4×D4—1181no—
1210C4×D4—1181no—
1211C4×D4—1181no—
1212C4×D4—1181no—
1213C4×D4—1181no—
1214C4×D4—1181no—
1215C4×D4—1181no—
1216C4×D4—1181no—
1217C4×D4—1181no—
1218C4×D4—1181no—
1219C4×D4—1181no—
1220C4×D4C22×D5911yescharacteristic
1221C4×D4C22×D5911yescharacteristic
1222C4×D4C22×D5911yescharacteristic
1223#117—591no—
1224#117—591no—
1225#117—591no—
1226#117—591no—
1227#117—591no—
1228#117—591no—
1229#117—591no—
1230#117—1181no—
1231#117—1181no—
1232#117—1181no—
1233#117—1181no—
1234#117—1181no—
1235#117—1181no—
1236#117—1181no—
1237#117—1181no—
1238#117—1181no—
1239#117—1181no—
1240#117—1181no—
1241#117—1181no—
1242#117—1181no—
1243#117—1181no—
1244#117—1181no—
1245#117—1181no—
1246#117—1181no—
1247#117—1181no—
1248C2×C4⋊C4—21no—
1249C2×C4⋊C4—591no—
1250C2×C4⋊C4—591no—
1251C2×C4⋊C4—1181no—
1252C2×C4⋊C4—1181no—
1253C2×C4⋊C4—1181no—
1254C2×C22⋊C4—21no—
1255C2×C22⋊C4—1181no—
1256C2×C22⋊C4—1181no—
1257C2×C22⋊C4—1181no—
1258C2×C22⋊C4—1181no—
1259C2×C22⋊C4—1181no—
1260C2×C42—591no—
1261C2×C42—591no—
1262C2×C42—591no—
1263C2×C42—1181no—
1264C2×C42—1181no—
1265C2×C42—1181no—
1266C2×C42—1181no—
1267#107—591no—
1268#107—591no—
1269#107—591no—
1270#107—591no—
1271#107—591no—
1272#107—591no—
1273#107—591no—
1274#107—591no—
1275#106—591no—
1276#106—591no—
1277#106—591no—
1278#106—591no—
1279#106—591no—
1280#106—591no—
1281#106—591no—
1282#106C22×D5911yescharacteristic
1283C4⋊C8—591no—
1284C4⋊C8—591no—
1285C4⋊C8—591no—
1286C4⋊C8—591no—
1287C4⋊C8—591no—
1288C4⋊C8C22×D5911yescharacteristic
1289#103—591no—
1290#103—591no—
1291#103—591no—
1292#103—591no—
1293#103—591no—
1294#103—591no—
1295#103—591no—
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103—591no—
1300#103—591no—
1301#103—591no—
1302#103C22×D5911yescharacteristic
1303#103C22×D5911yescharacteristic
1304#103C22×D5911yescharacteristic
1305#102—591no—
1306#102—591no—
1307#102—591no—
1308#102—591no—
1309#102—591no—
1310#102—591no—
1311#102—591no—
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102—591no—
1316#102—591no—
1317#102—591no—
1318#102C22×D5911yescharacteristic
1319#102C22×D5911yescharacteristic
1320#102C22×D5911yescharacteristic
1321C22⋊C8—591no—
1322C22⋊C8—591no—
1323C22⋊C8—591no—
1324C22⋊C8—591no—
1325C22⋊C8C22×D5911yescharacteristic
1326C22⋊C8C22×D5911yescharacteristic
1327#97—591no—
1328#97—591no—
1329#97—591no—
1330#97C22×D5911yescharacteristic
1331C4×C8—591no—
1332C4×C8—591no—
1333C4×C8—591no—
1334C4×C8—591no—
1335C4×C8—591no—
1336C4×C8—591no—
1337C24—21no—
1338C24—1181no—
1339#41—22no—
1340#41—22no—
1341#41—22no—
1342#41—41no—
1343#41—41no—
1344#41—41no—
1345#41—1182no—
1346#41—2362no—
1347#41—2361no—
1348C2×Q8—591no—
1349C2×Q8—591no—
1350C2×Q8—1181no—
1351C2×Q8—1181no—
1352C2×Q8C23×D5911yescharacteristic
1353C2×Q8C23×D5911yescharacteristic
1354C2×Q8C23×D5911yescharacteristic
1355C2×D4—22no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—41no—
1362C2×D4—591no—
1363C2×D4—591no—
1364C2×D4—591no—
1365C2×D4—1181no—
1366C2×D4—1182no—
1367C2×D4—1181no—
1368C2×D4—1181no—
1369C2×D4—1181no—
1370C2×D4—1181no—
1371C2×D4—2361no—
1372C2×D4D4×D5911yescharacteristic
1373C2×D4C23×D5911yescharacteristic
1374C2×D4C23×D5911yescharacteristic
1375C2×D4C23×D5911yescharacteristic
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—591no—
1382C22×C4—591no—
1383C22×C4—591no—
1384C22×C4—591no—
1385C22×C4—591no—
1386C22×C4—591no—
1387C22×C4—591no—
1388C22×C4—1181no—
1389C22×C4—1181no—
1390C22×C4—1181no—
1391C22×C4—1181no—
1392C22×C4—1181no—
1393C22×C4—1181no—
1394C22×C4—1181no—
1395C22×C4—1181no—
1396C22×C4—1181no—
1397C22×C4—1181no—
1398C22×C4—1181no—
1399C22×C4—1181no—
1400C22×C4—1181no—
1401C22×C4—2364no—
1402C22×C4—2364no—
1403C22×C4C23×D5911yescharacteristic
1404C22×C4C23×D5911yescharacteristic
1405Q16—22no—
1406Q16—41no—
1407Q16—2361no—
1408Q16—2361no—
1409SD16—22no—
1410SD16—22no—
1411SD16—22no—
1412SD16—22no—
1413SD16—41no—
1414SD16—1182no—
1415SD16—1182no—
1416SD16—2361no—
1417D8—22no—
1418D8—1182no—
1419D8—2361no—
1420D8#1174568714yescomplemented
1421M16—22no—
1422M16—1182no—
1423M16—2361no—
1424M16—2361no—
1425C2×C8—22no—
1426C2×C8—591no—
1427C2×C8—591no—
1428C2×C8—591no—
1429C2×C8—591no—
1430C2×C8—2361no—
1431C2×C8C23×D5911yescharacteristic
1432C2×C8C23×D5911yescharacteristic
1433C2×C8C23×D5911yescharacteristic
1434C2×C8C23×D5911yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—591no—
1441C4⋊C4—591no—
1442C4⋊C4—591no—
1443C4⋊C4—591no—
1444C4⋊C4—591no—
1445C4⋊C4—591no—
1446C4⋊C4—591no—
1447C4⋊C4—591no—
1448C4⋊C4—591no—
1449C4⋊C4—591no—
1450C4⋊C4—591no—
1451C4⋊C4—1181no—
1452C4⋊C4—1181no—
1453C4⋊C4—1181no—
1454C4⋊C4—1181no—
1455C4⋊C4—1181no—
1456C4⋊C4—1181no—
1457C4⋊C4—1181no—
1458C4⋊C4—1181no—
1459C4⋊C4—1181no—
1460C4⋊C4—1181no—
1461C4⋊C4—1181no—
1462C4⋊C4—1181no—
1463C4⋊C4—1181no—
1464C4⋊C4—1181no—
1465C4⋊C4—1181no—
1466C4⋊C4—1181no—
1467C4⋊C4—1181no—
1468C4⋊C4—1181no—
1469C4⋊C4—1181no—
1470C4⋊C4—1181no—
1471C4⋊C4—1181no—
1472C4⋊C4—1181no—
1473C4⋊C4—1181no—
1474C4⋊C4—1181no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊C4D4×D5911yescharacteristic
1479C4⋊C4C23×D5911yescharacteristic
1480C4⋊C4C23×D5911yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—591no—
1490C22⋊C4—591no—
1491C22⋊C4—591no—
1492C22⋊C4—591no—
1493C22⋊C4—1181no—
1494C22⋊C4—1181no—
1495C22⋊C4—1181no—
1496C22⋊C4—1181no—
1497C22⋊C4—1181no—
1498C22⋊C4—1181no—
1499C22⋊C4—1181no—
1500C22⋊C4—1181no—
1501C22⋊C4—1181no—
1502C22⋊C4—1181no—
1503C22⋊C4—1181no—
1504C22⋊C4—1181no—
1505C22⋊C4—1181no—
1506C22⋊C4—1181no—
1507C22⋊C4—1181no—
1508C22⋊C4—1181no—
1509C22⋊C4—1181no—
1510C22⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1522C22⋊C4D4×D5911yescharacteristic
1523C42—591no—
1524C42—591no—
1525C42—591no—
1526C42—591no—
1527C42—591no—
1528C42—591no—
1529C42—591no—
1530C42—591no—
1531C42—591no—
1532C42—1181no—
1533C42—1181no—
1534C42—1181no—
1535C42—1181no—
1536C42—1181no—
1537C42—1181no—
1538C42—1181no—
1539C42—1181no—
1540C42—1181no—
1541C42—1181no—
1542C42—1181no—
1543C42—1181no—
1544C42C23×D5911yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—42no—
1549C23—42no—
1550C23—81no—
1551C23—591no—
1552C23—1181no—
1553C23—4721no—
1554C23—2362no—
1555C23—2362no—
1556C23C2×D4×D5911yescharacteristic
1557C23C2×D4×D5911yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—1181no—
1565Q8—1181no—
1566Q8—4721no—
1567Q8—4721no—
1568Q8—2361no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—41no—
1574D4—42no—
1575D4—42no—
1576D4—42no—
1577D4—42no—
1578D4—81no—
1579D4—1181no—
1580D4—1181no—
1581D4—4721no—
1582D4—4721no—
1583D4—4721no—
1584D4—2361no—
1585D4—2361no—
1586D4—2362no—
1587D4—2362no—
1588D4C2×#1174568712yes—
1589D4C2×#1174568712yes—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—42no—
1600C2×C4—42no—
1601C2×C4—42no—
1602C2×C4—42no—
1603C2×C4—81no—
1604C2×C4—591no—
1605C2×C4—591no—
1606C2×C4—591no—
1607C2×C4—591no—
1608C2×C4—591no—
1609C2×C4—591no—
1610C2×C4—591no—
1611C2×C4—1182no—
1612C2×C4—1182no—
1613C2×C4—1182no—
1614C2×C4—1181no—
1615C2×C4—1181no—
1616C2×C4—1181no—
1617C2×C4—1181no—
1618C2×C4—1181no—
1619C2×C4—1181no—
1620C2×C4—1181no—
1621C2×C4—1181no—
1622C2×C4—1181no—
1623C2×C4—4721no—
1624C2×C4—4721no—
1625C2×C4—4721no—
1626C2×C4—2361no—
1627C2×C4—2362no—
1628C2×C4—2362no—
1629C2×C4—2362no—
1630C2×C4—2362no—
1631C2×C4—2362no—
1632C2×C4—2362no—
1633C2×C4—2361no—
1634C2×C4—2361no—
1635C2×C4—2362no—
1636C2×C4—2362no—
1637C2×C4—2362no—
1638C2×C4—2362no—
1639C2×C4C2×D4×D5911yescharacteristic
1640C2×C4C2×D4×D5911yescharacteristic
1641C2×C4C2×D4×D5911yescharacteristic
1642C2×C4C2×D4×D5911yescharacteristic
1643C2×C4C24×D5911yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—1181no—
1648C8—1181no—
1649C8—1181no—
1650C8—1181no—
1651C8C2×#1174568712yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—22no—
1657C22—22no—
1658C22—21no—
1659C22—21no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—84no—
1668C22—1181no—
1669C22—1181no—
1670C22—1181no—
1671C22—4724no—
1672C22—2361no—
1673C22—2361no—
1674C22—2361no—
1675C22C22×D4×D5911yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—592no—
1686C4—1181no—
1687C4—1181no—
1688C4—1181no—
1689C4—1181no—
1690C4—1181no—
1691C4—1181no—
1692C4—2361no—
1693C4—2361no—
1694C4—2361no—
1695C4—2361no—
1696C4—2361no—
1697C4—2361no—
1698C4—2361no—
1699C4C22×#1174568711yescharacteristic
1700C4#1683823711yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—42no—
1704C2—42no—
1705C2—81no—
1706C2—4721no—
1707C2—2361no—
1708C2D4×#1174568711yescharacteristic
1709C2#575×D5911yescharacteristic
1710C2#2143886811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3267C2
socleC22×C59C23×D4
hypercenter#3267D59
hypocenterC59#61442
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. #21437659C2semidirect
2. #21437647C2semidirect
3. #21437172C2semidirect
4. #21437055C2semidirect
5. #21436920C2semidirect
6. #21436916C2semidirect
7. #21436666C2semidirect
8. #21436617C2semidirect
9. #21436613C2semidirect
10. #21436316C2semidirect
11. #21436305C2semidirect
12. #21436256C2semidirect
13. #21436252C2semidirect
14. #21436196C2semidirect
15. #21436192C2semidirect
16. #21435701C2semidirect
17. #21435621C2semidirect
18. #21434699C2semidirect
19. #21434697C2semidirect
20. #21434659C2semidirect
21. #21434164C2semidirect
22. #21434160C2semidirect
23. #21434144C2semidirect
24. #21434142C2semidirect
25. #21434115C2semidirect
26. #21434107C2semidirect
27. #21433056C2semidirect
28. #21432907C2semidirect
29. AGL(1,ℤ/8)×Dic59C2semidirect
30. #135×Dic59C2semidirect
31. C59×#3267C2semidirect
33. #16838126C22semidirect
34. #16838121C22semidirect
37. #16838111C22semidirect
38. #16838109C22semidirect
42. #16838092C22semidirect
46. #16838086C22semidirect
54. #16838040C22semidirect
55. #16837957C22semidirect
56. #16837954C22semidirect
58. #16837938C22semidirect
60. #16837933C22semidirect
68. #41×Dic59C22semidirect
69. #41×Dic59C22semidirect
72. C2×D4×Dic59C22semidirect
73. C4×D4×D59C22semidirect
76. #16837811C22semidirect
77. #16837809C22semidirect
78. #16837802C22semidirect
79. #16837795C22semidirect
81. #16837770C22semidirect
82. #16837769C22semidirect
83. #16837763C22semidirect
84. #16837761C22semidirect
85. #16837758C22semidirect
86. #16837755C22semidirect
87. #16837744C22semidirect
88. #16837744C22semidirect
89. #16837741C22semidirect
90. #16837741C22semidirect
91. #16837740C22semidirect
92. #16837740C22semidirect
93. #16837736C22semidirect
94. #16837735C22semidirect
95. #16837727C22semidirect
96. #16837723C22semidirect
99. #16837711C22semidirect
100. #16837707C22semidirect
101. #16837704C22semidirect
102. #16837704C22semidirect
103. #16837704C22semidirect
104. #16837703C22semidirect
105. #16837702C22semidirect
106. #16837700C22semidirect
107. #16837688C22semidirect
108. #16837685C22semidirect
109. #16837682C22semidirect
110. #16837680C22semidirect
111. #16837658C22semidirect
112. #16837657C22semidirect
113. #16837657C22semidirect
118. #16837641C22semidirect
120. #16837631C22semidirect
121. #16837626C22semidirect
122. #16837622C22semidirect
128. #16837610C22semidirect
129. #16837609C22semidirect
130. #16837605C22semidirect
132. #16837564C22semidirect
135. #16837551C22semidirect
139. #16837531C22semidirect
140. #16837530C22semidirect
144. #16837504C22semidirect
145. #16837503C22semidirect
146. #16837503C22semidirect
147. #16837502C22semidirect
148. Q16×Dic59C22semidirect
149. Q16×Dic59C22semidirect
150. Q16×Dic59C22semidirect
151. #16837494C22semidirect
152. #16837494C22semidirect
153. #16837493C22semidirect
154. SD16×Dic59C22semidirect
155. SD16×Dic59C22semidirect
156. SD16×Dic59C22semidirect
157. SD16×Dic59C22semidirect
158. SD16×Dic59C22semidirect
159. SD16×Dic59C22semidirect
160. SD16×Dic59C22semidirect
161. #16837489C22semidirect
162. #16837487C22semidirect
170. #16837474C22semidirect
171. #16837473C22semidirect
172. #16837470C22semidirect
173. #16837454C22semidirect
174. #16837452C22semidirect
175. #16837452C22semidirect
176. #16837444C22semidirect
177. #16837441C22semidirect
178. #16837440C22semidirect
179. #16837407C22semidirect
180. #16837405C22semidirect
183. #16837398C22semidirect
184. #16837398C22semidirect
185. #16837354C22semidirect
186. M16×Dic59C22semidirect
187. C2×C8×Dic59C22semidirect
191. C59×#546C22semidirect
192. C59×#497C22semidirect
193. C59×#470C22semidirect
194. C59×#465C22semidirect
196. C59×#461C22semidirect
198. C59×#452C22semidirect
199. C59×#450C22semidirect
202. C59×#435C22semidirect
557. D8×C59#41semidirect
863. #3267D59semidirect
913. #546C2×D59semidirect
939. #497C2×D59semidirect
974. #470C2×D59semidirect
982. #465C2×D59semidirect
994. #461C2×D59semidirect
1000. #452C2×D59semidirect
1002. #450C2×D59semidirect
1042. #435C2×D59semidirect
1058. C59#61442semidirect
1420. D8#11745687semidirect

Maximal subgroups

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

subgroupindex
#214376592
#214376472
#214371722
#214370552
#214369202
#214369162
#214366662
#214366172
#214366132
#214363162
#214363052
#214362562
#214362522
#214361962
#214361922
#214357012
#214356212
#214346992
#214346972
#214346592
#214341642
#214341602
#214341442
#214341422
#214341152
#214341072
#214330562
#214329072
AGL(1,ℤ/8)×Dic592
#135×Dic592
C59×#32672
#6144259