Finite Group Databasebeta

← #29470651

Subgroups — #29470651

Order 15104.

1888 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437701C211yesmaximal, characteristic
2Q8×#11745687C211yesmaximal, characteristic, complemented
3#21437146C211yesmaximal, characteristic, complemented
4#21437007C211yesmaximal, characteristic, complemented
5#21436905C211yesmaximal, characteristic, complemented
6#21436872C211yesmaximal, characteristic, complemented
7#21436583C211yesmaximal, characteristic, complemented
8#21436576C211yesmaximal, characteristic, complemented
9#21436485C211yesmaximal, characteristic, complemented
10#21436267C211yesmaximal, characteristic, complemented
11#21436260C211yesmaximal, characteristic, complemented
12#21436177C211yesmaximal, characteristic, complemented
13#21436170C211yesmaximal, characteristic, complemented
14#21435965C211yesmaximal, characteristic, complemented
15#21435913C211yesmaximal, characteristic, complemented
16SD16×C22⋊D59C211yesmaximal, characteristic, complemented
17#21435600C211yesmaximal, characteristic, complemented
18#21434809C211yesmaximal, characteristic, complemented
19#21434802C211yesmaximal, characteristic, complemented
20#21434800C211yesmaximal, characteristic, complemented
21#21434268C211yesmaximal, characteristic, complemented
22#21434266C211yesmaximal, characteristic, complemented
23#21434251C211yesmaximal, characteristic, complemented
24#21434213C211yesmaximal, characteristic, complemented
25#21434194C211yesmaximal, characteristic, complemented
26#21434190C211yesmaximal, characteristic, complemented
27#21433106C211yesmaximal, characteristic, complemented
28#137×Dic59C211yesmaximal, characteristic, complemented
29C2×#16837503C211yesmaximal, characteristic, complemented
30#440×D59C211yesmaximal, characteristic, complemented
31C59×#3266C211yesmaximal, characteristic, complemented
32C2×SD16×D59C2211yescharacteristic
33#16838134C2211yescharacteristic
34Q8×Dic118C2211yescharacteristic, complemented
35#16838127—21no—
36#16838127C2211yescharacteristic, complemented
37#16838111C2211yescharacteristic
38#16838110—21no—
39#16838110—21no—
40#16838110C2211yescharacteristic
41#16838110C2211yescharacteristic
42#16838110C2211yescharacteristic, complemented
43#16838109—21no—
44#16838109C2211yescharacteristic, complemented
45#16838099C2211yescharacteristic
46#16838098C2211yescharacteristic
47#16838095—21no—
48#16838078—21no—
49#16838075—21no—
50Q8×C22⋊D59C2211yescharacteristic
51Q8×C22⋊D59C2211yescharacteristic, complemented
52#16838040C2211yescharacteristic
53#16838039—21no—
54D4×C22⋊D59C2211yescharacteristic
55#16837957—21no—
56#16837957C2211yescharacteristic, complemented
57#16837954—21no—
58#16837954—21no—
59#16837954C2211yescharacteristic, complemented
60#16837954C2211yescharacteristic, complemented
61#16837947C2211yescharacteristic
62#16837938C2211yescharacteristic
63#16837931C2211yescharacteristic
64#16837929—21no—
65#16837912—21no—
66#16837908—21no—
67#41×Dic59C2211yescharacteristic
68C4×#11745687—21no—
69C4×#11745687C2211yescharacteristic
70C2×Q8×Dic59C2211yescharacteristic, complemented
71C2×Q8×Dic59C2211yescharacteristic, complemented
72C4×Q8×D59C2211yescharacteristic, complemented
73C2×D4×Dic59C2211yescharacteristic
74C2×(C22⋊D59)⋊C4—21no—
75C4×D4×D59C2211yescharacteristic
76#16837811C2211yescharacteristic, complemented
77#16837810C2211yescharacteristic, complemented
78#16837806C2211yescharacteristic, complemented
79#16837795C2211yescharacteristic, complemented
80#16837773C2211yescharacteristic
81#16837770C2211yescharacteristic, complemented
82#16837769C2211yescharacteristic, complemented
83#16837763C2211yescharacteristic, complemented
84#16837761C2211yescharacteristic, complemented
85#16837751C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic
87#16837744C2211yescharacteristic, complemented
88#16837740C2211yescharacteristic, complemented
89#16837738C2211yescharacteristic, complemented
90#16837736C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837736C2211yescharacteristic, complemented
93#16837735C2211yescharacteristic, complemented
94#16837735C2211yescharacteristic, complemented
95#16837721C2211yescharacteristic
96#16837719C2211yescharacteristic
97#16837716C2211yescharacteristic, complemented
98#16837713C2211yescharacteristic, complemented
99#16837710C2211yescharacteristic, complemented
100#16837709C2211yescharacteristic, complemented
101#16837707C2211yescharacteristic, complemented
102#16837707C2211yescharacteristic, complemented
103#16837695C2211yescharacteristic, complemented
104#16837695C2211yescharacteristic, complemented
105#16837695C2211yescharacteristic, complemented
106#16837690C2211yescharacteristic
107#16837683C2211yescharacteristic, complemented
108#16837682C2211yescharacteristic
109#16837680C2211yescharacteristic
110#16837680C2211yescharacteristic, complemented
111#16837650C2211yescharacteristic, complemented
112#16837648C2211yescharacteristic, complemented
113#16837646C2211yescharacteristic, complemented
114#16837641C2211yescharacteristic, complemented
115#16837640C2211yescharacteristic, complemented
116#16837640C2211yescharacteristic, complemented
117#16837633C2211yescharacteristic
118#16837631C2211yescharacteristic
119#16837628C2211yescharacteristic
120#16837628C2211yescharacteristic
121#16837626C2211yescharacteristic, complemented
122#16837626C2211yescharacteristic, complemented
123#16837621C2211yescharacteristic, complemented
124#16837610C2211yescharacteristic, complemented
125#16837605C2211yescharacteristic
126#16837605C2211yescharacteristic
127#16837605C2211yescharacteristic, complemented
128#16837604C2211yescharacteristic, complemented
129#16837600C2211yescharacteristic
130#16837600C2211yescharacteristic
131#16837564C2211yescharacteristic
132#16837556C2211yescharacteristic, complemented
133#16837553C2211yescharacteristic
134#16837551C2211yescharacteristic
135#16837551C2211yescharacteristic
136#16837541C2211yescharacteristic
137#16837541C2211yescharacteristic, complemented
138#16837539C2211yescharacteristic
139#16837531C2211yescharacteristic, complemented
140#16837530C2211yescharacteristic, complemented
141#16837509C2211yescharacteristic, complemented
142#16837509C2211yescharacteristic, complemented
143#16837509C2211yescharacteristic, complemented
144#16837506C2211yescharacteristic, complemented
145#16837505C2211yescharacteristic, complemented
146#16837505C2211yescharacteristic, complemented
147#16837505C2211yescharacteristic, complemented
148#16837504C2211yescharacteristic, complemented
149#16837503C2211yescharacteristic
150#16837503C2211yescharacteristic
151#16837503C2211yescharacteristic
152#16837503C2211yescharacteristic
153#16837503C2211yescharacteristic
154#16837503C2211yescharacteristic, complemented
155#16837503C2211yescharacteristic, complemented
156#16837503C2211yescharacteristic, complemented
157#16837503C2211yescharacteristic, complemented
158#16837503C2211yescharacteristic, complemented
159#16837502C2211yescharacteristic
160#16837501C2211yescharacteristic, complemented
161#16837500C2211yescharacteristic, complemented
162#16837499C2211yescharacteristic
163#16837499C2211yescharacteristic, complemented
164Q16×Dic59C2211yescharacteristic, complemented
165Q16×Dic59C2211yescharacteristic, complemented
166SD16×Dic59C2211yescharacteristic
167SD16×Dic59C2211yescharacteristic
168#16837476C2211yescharacteristic, complemented
169#16837474C2211yescharacteristic, complemented
170#16837471C2211yescharacteristic, complemented
171C8×C22⋊D59C2211yescharacteristic
172(C22⋊D59)⋊C8C2211yescharacteristic
173#16837458C2211yescharacteristic, complemented
174#16837456C2211yescharacteristic, complemented
175#16837456C2211yescharacteristic, complemented
176#16837444C2211yescharacteristic, complemented
177C2×#14273661C2211yescharacteristic, complemented
178#107×D59C2211yescharacteristic, complemented
179#16837411C2211yescharacteristic, complemented
180#16837403C2211yescharacteristic
181C2×#14273651C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183C2×#14273648C2211yescharacteristic
184#102×D59C2211yescharacteristic
185M16×Dic59C2211yescharacteristic, complemented
186C2×#14273637C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C2×#137×C59C2211yescharacteristic
189C22×SD16×C59C2211yescharacteristic
190D4×Q8×C59C2211yescharacteristic, complemented
191C59×#546C2211yescharacteristic
192C59×#497C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#467C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#461C2211yescharacteristic
197C59×#452C2211yescharacteristic
198C59×#451C2211yescharacteristic, complemented
199C59×#450C2211yescharacteristic
200C59×#448C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic
202C59×#435C2211yescharacteristic, complemented
203C2×#11745687—21no—
204C2×#11745687D411yescharacteristic
205C2×Q8×D59C2311yescharacteristic
206C22×C22⋊D59—21no—
207C2×D4×D59C2311yescharacteristic
208C23×Dic59—21no—
209C22×C4×D59—21no—
210C2×#11745672C2311yescharacteristic
211C2×#11745660C2311yescharacteristic
212C2×#11745670C2311yescharacteristic
213C2×#11745670C2311yescharacteristic
214C2×#11745671C2311yescharacteristic
215C2×#11745671C2311yescharacteristic
216C2×#11745671C2311yescharacteristic
217SD16×D59—24no—
218C2×#11745664C2311yescharacteristic
219C22×C59⋊C8C2311yescharacteristic
220C2×C8×D59C2311yescharacteristic
221C2×C8×D59C2311yescharacteristic
222#14273727—21no—
223#14273727C2311yescharacteristic
224#14273726—21no—
225#14273726—21no—
226#14273726C2311yescharacteristic
227#14273726C2311yescharacteristic
228#14273726C2311yescharacteristic
229#14273725—21no—
230#14273725—21no—
231#14273725C2311yescharacteristic
232#14273725C2311yescharacteristic
233#14273723C2311yescharacteristic
234#14273722—21no—
235#14273722—21no—
236#14273720—21no—
237#14273720—21no—
238#14273719C2311yescharacteristic
239#14273718—21no—
240#14273718—21no—
241#14273718—21no—
242#14273718C2311yescharacteristic
243#14273717—21no—
244#14273717—21no—
245#14273717—21no—
246#14273717—21no—
247#14273717—21no—
248#14273717—21no—
249#14273717—21no—
250#14273716C2311yescharacteristic
251#14273713—21no—
252#14273713—21no—
253#14273711—21no—
254#14273711—21no—
255#14273710—21no—
256#14273709—21no—
257#14273709—21no—
258#14273709—21no—
259#14273708—21no—
260#14273707—21no—
261#14273707—21no—
262#14273707—21no—
263#14273707—21no—
264#14273706—21no—
265#14273706—21no—
266#14273706—21no—
267#14273706C2311yescharacteristic
268#14273706C2311yescharacteristic
269#14273704—21no—
270#14273704—21no—
271#14273704—21no—
272#14273704—21no—
273#14273704—21no—
274#14273704—21no—
275#14273704—21no—
276#14273704—21no—
277#14273704—21no—
278#14273703—21no—
279#14273703—21no—
280#14273703C2311yescharacteristic
281#14273703C2311yescharacteristic
282#14273703C2311yescharacteristic
283#14273701C2311yescharacteristic
284#14273701C2311yescharacteristic
285#14273699—21no—
286#14273699—21no—
287#14273699—21no—
288#14273699—21no—
289#14273698—21no—
290#14273698C2311yescharacteristic
291#14273696—21no—
292#14273695—21no—
293#14273695—21no—
294Q8×Dic59—21no—
295Q8×Dic59—21no—
296Q8×Dic59—21no—
297Q8×Dic59—21no—
298Q8×Dic59C2311yescharacteristic
299Q8×Dic59C2311yescharacteristic
300Q8×Dic59C2311yescharacteristic
301Q8×Dic59C2311yescharacteristic
302Q8×Dic59C2311yescharacteristic
303Q8×Dic59C2311yescharacteristic
304Q8×Dic59C2311yescharacteristic
305Q8×Dic59C2311yescharacteristic
306Q8×Dic59C2311yescharacteristic
307C4×Dic118—21no—
308C4×Dic118—21no—
309C4×Dic118C2311yescharacteristic
310C4×Dic118C2311yescharacteristic
311#14273692—21no—
312#14273692—21no—
313#14273692—21no—
314#14273692—21no—
315#14273692—21no—
316#14273692D411yescharacteristic
317#14273692C2311yescharacteristic
318C4×D236C2311yescharacteristic
319D4×Dic59—21no—
320D4×Dic59—21no—
321D4×Dic59—21no—
322D4×Dic59—21no—
323D4×Dic59—21no—
324D4×Dic59D411yescharacteristic
325D4×Dic59C2311yescharacteristic
326D4×Dic59C2311yescharacteristic
327D4×Dic59C2311yescharacteristic
328D4×Dic59C2311yescharacteristic
329D4×Dic59C2311yescharacteristic
330#14273689C2311yescharacteristic
331C4×C22⋊D59—21no—
332C4×C22⋊D59—21no—
333C4×C22⋊D59—21no—
334C4×C22⋊D59C2311yescharacteristic
335C4×C22⋊D59C2311yescharacteristic
336(C22⋊D59)⋊C4—21no—
337(C22⋊D59)⋊C4—21no—
338(C22⋊D59)⋊C4—21no—
339(C22⋊D59)⋊C4—21no—
340(C22⋊D59)⋊C4—21no—
341(C22⋊D59)⋊C4—21no—
342(C22⋊D59)⋊C4—21no—
343(C22⋊D59)⋊C4—21no—
344(C22⋊D59)⋊C4—21no—
345(C22⋊D59)⋊C4—21no—
346(C22⋊D59)⋊C4D411yescharacteristic
347(C22⋊D59)⋊C4D411yescharacteristic
348#14273686—21no—
349#14273686C2311yescharacteristic
350#14273685—21no—
351#14273685—21no—
352#14273685D411yescharacteristic
353#14273683—21no—
354#14273683—21no—
355#14273683—21no—
356#14273683D411yescharacteristic
357#14273683D411yescharacteristic
358C2×C4⋊Dic59—21no—
359C2×C4⋊Dic59—21no—
360C2×C4⋊Dic59C2311yescharacteristic
361C2×C4⋊Dic59C2311yescharacteristic
362C2×C4⋊Dic59C2311yescharacteristic
363C2×Dic59⋊C4—21no—
364C4⋊C4×D59—21no—
365C4⋊C4×D59C2311yescharacteristic
366C4⋊C4×D59C2311yescharacteristic
367C2×C22⋊Dic59—21no—
368C2×(C2×D59)⋊C4—21no—
369C22⋊C4×D59—21no—
370C2×C4×Dic59—21no—
371C2×C4×Dic59—21no—
372C2×C4×Dic59—21no—
373C2×C4×Dic59C2311yescharacteristic
374C2×C4×Dic59C2311yescharacteristic
375C42×D59—21no—
376C42×D59C2311yescharacteristic
377#14273661C2311yescharacteristic
378#14273661C2311yescharacteristic
379#14273661C2311yescharacteristic
380#14273661C2311yescharacteristic
381#14273661C2311yescharacteristic
382#14273661C2311yescharacteristic
383#14273660C2311yescharacteristic
384#14273660C2311yescharacteristic
385#14273660C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273659C2311yescharacteristic
389#14273659C2311yescharacteristic
390#14273659C2311yescharacteristic
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#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
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
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433#14273637C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C2×#41×C59C2311yescharacteristic
437C22×Q8×C59C2311yescharacteristic
438C22×Q8×C59C2311yescharacteristic
439C22×D4×C59C2311yescharacteristic
440#137×C59—24no—
441C2×Q16×C59C2311yescharacteristic
442C2×Q16×C59C2311yescharacteristic
443C2×Q16×C59C2311yescharacteristic
444C2×SD16×C59—24no—
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×M16×C59C2311yescharacteristic
452C22×C8×C59C2311yescharacteristic
453C4⋊Q8×C59—21no—
454C4⋊Q8×C59C2311yescharacteristic
455#124×C59C2311yescharacteristic
456#123×C59—21no—
457C22⋊Q8×C59—21no—
458C22⋊Q8×C59—21no—
459C22⋊Q8×C59C2311yescharacteristic
460C22⋊Q8×C59C2311yescharacteristic
461C22⋊Q8×C59C2311yescharacteristic
462#121×C59—21no—
463#121×C59C2311yescharacteristic
464#120×C59—21no—
465C4×Q8×C59C2311yescharacteristic
466C4×D4×C59—21no—
467C4×D4×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469C2×C22⋊C4×C59—21no—
470#107×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×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—41no—
485C2×Q8×C59—21no—
486C2×Q8×C59—21no—
487C2×Q8×C59—22no—
488C2×Q8×C59—22no—
489C2×Q8×C59—41no—
490C2×Q8×C59—41no—
491C2×Q8×C59C2411yescharacteristic
492C2×Q8×C59C2411yescharacteristic
493C2×Q8×C59C2411yescharacteristic
494C2×Q8×C59C2411yescharacteristic
495C2×D4×C59—22no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—41no—
500C2×D4×C59C2×D411yescharacteristic
501C2×D4×C59C2411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59C2411yescharacteristic
508C22×C4×C59C2411yescharacteristic
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—44no—
516C2×C22⋊D59C2×D411yescharacteristic
517C2×C22⋊D59C2×D411yescharacteristic
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—82no—
527C22×Dic59C2×D411yescharacteristic
528C22×Dic59C2×D411yescharacteristic
529C22×Dic59C2×D411yescharacteristic
530C22×Dic59C2×D411yescharacteristic
531Q8×D59—22no—
532Q8×D59—41no—
533#11745687—24no—
534#11745687—82no—
535D4×D59—22no—
536D4×D59—41no—
537C2×D236C2411yescharacteristic
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—82no—
544C2×C4×D59C2×D411yescharacteristic
545C2×C4×D59C2×D411yescharacteristic
546C2×C4×D59C2411yescharacteristic
547C2×Dic118—21no—
548C2×Dic118—21no—
549C2×Dic118—21no—
550C2×Dic118—21no—
551C2×Dic118—21no—
552C2×Dic118C2×D411yescharacteristic
553C2×Dic118C2411yescharacteristic
554Q16×C59—22no—
555Q16×C59—22no—
556Q16×C59—41no—
557SD16×C59—22no—
558SD16×C59—22no—
559SD16×C59—22no—
560SD16×C59—22no—
561SD16×C59—41no—
562SD16×C59#4114yescomplemented
563M16×C59—22no—
564C2×C8×C59—22no—
565C2×C8×C59C2411yescharacteristic
566C2×C8×C59C2411yescharacteristic
567C2×C8×C59C2411yescharacteristic
568C2×C8×C59C2411yescharacteristic
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×C59C2×D411yescharacteristic
576C4⋊C4×C59C2411yescharacteristic
577C4⋊C4×C59C2411yescharacteristic
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59C2×D411yescharacteristic
586C22⋊C4×C59C2×D411yescharacteristic
587C42×C59—21no—
588C42×C59C2411yescharacteristic
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⋊Dic59C2×D411yescharacteristic
599C22⋊Dic59C2×D411yescharacteristic
600#11745672—41no—
601#11745671—22no—
602#11745671—41no—
603#11745671—41no—
604#11745670—22no—
605#11745670—41no—
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)⋊C4C2×D411yescharacteristic
616(C2×D59)⋊C4C2×D411yescharacteristic
617C4⋊Dic59—21no—
618C4⋊Dic59—21no—
619C4⋊Dic59—21no—
620C4⋊Dic59—21no—
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⋊Dic59C2×D411yescharacteristic
632C4⋊Dic59C2411yescharacteristic
633C4⋊Dic59C2411yescharacteristic
634C4⋊Dic59C2411yescharacteristic
635C4⋊Dic59C2411yescharacteristic
636C4⋊Dic59C2411yescharacteristic
637C4⋊Dic59C2411yescharacteristic
638Dic59⋊C4—21no—
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⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4C2×D411yescharacteristic
658Dic59⋊C4C2×D411yescharacteristic
659Dic59⋊C4C2×D411yescharacteristic
660Dic59⋊C4C2×D411yescharacteristic
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×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59C2×D411yescharacteristic
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2×D411yescharacteristic
679C4×Dic59C2411yescharacteristic
680C4×Dic59C2411yescharacteristic
681C4×Dic59C2411yescharacteristic
682#11745664—41no—
683C2×C59⋊C8—41no—
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687C2×C59⋊C8C2411yescharacteristic
688#11745660—22no—
689C8×D59—22no—
690C8×D59—41no—
691C23×C59—21no—
692C23×C59—21no—
693C23×C59—42no—
694C23×C59—42no—
695C23×C59—81no—
696C23×C59C22×D411yescharacteristic
697C23×C59C22×D411yescharacteristic
698C22×D59—21no—
699C22×D59—42no—
700C22×D59—42no—
701C22×D59—81no—
702C22×D59C22×D411yescharacteristic
703Q8×C59—21no—
704Q8×C59—21no—
705Q8×C59—21no—
706Q8×C59—21no—
707Q8×C59—21no—
708Q8×C59—21no—
709Q8×C59—21no—
710Q8×C59—42no—
711Q8×C59—42no—
712Q8×C59C2×#4112yes—
713D4×C59—22no—
714D4×C59—21no—
715D4×C59—21no—
716D4×C59—21no—
717D4×C59—42no—
718D4×C59—42no—
719D4×C59—81no—
720D4×C59C2×#4112yes—
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—21no—
730C2×C4×C59—21no—
731C2×C4×C59—42no—
732C2×C4×C59—42no—
733C2×C4×C59—42no—
734C2×C4×C59—81no—
735C2×C4×C59C22×D411yescharacteristic
736C2×C4×C59C22×D411yescharacteristic
737C2×C4×C59C22×D411yescharacteristic
738C2×C4×C59C22×D411yescharacteristic
739C2×C4×C59C2511yescharacteristic
740C22⋊D59—22no—
741C22⋊D59—42no—
742C22⋊D59—42no—
743C22⋊D59—42no—
744C22⋊D59—42no—
745C22⋊D59—81no—
746C22⋊D59—81no—
747C22⋊D59#13714yescomplemented
748C2×Dic59—22no—
749C2×Dic59—22no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—41no—
758C2×Dic59—41no—
759C2×Dic59—42no—
760C2×Dic59—42no—
761C2×Dic59—42no—
762C2×Dic59—81no—
763C2×Dic59—81no—
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—22no—
777C4×D59—21no—
778C4×D59—21no—
779C4×D59—41no—
780C4×D59—42no—
781C4×D59—42no—
782C4×D59—81no—
783C4×D59—81no—
784C4×D59—81no—
785Dic118—22no—
786Dic118—21no—
787Dic118—21no—
788Dic118—42no—
789Dic118—81no—
790Dic118—81no—
791Dic118—81no—
792Dic118—81no—
793C8×C59—21no—
794C8×C59—21no—
795C8×C59—21no—
796C8×C59C2×#4112yes—
797C59⋊C8—21no—
798C59⋊C8—21no—
799C59⋊C8—21no—
800C59⋊C8—21no—
801#61453—591nomaximal, Sylow
802C22×C59—21no—
803C22×C59—21no—
804C22×C59—21no—
805C22×C59—22no—
806C22×C59—21no—
807C22×C59—21no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—84no—
814C22×C59C2×#13712yes—
815C22×C59C23×D411yescharacteristic
816C2×D59—21no—
817C2×D59—21no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—41no—
821C2×D59—84no—
822C2×D59C2×#13712yes—
823C4×C59—21no—
824C4×C59—22no—
825C4×C59—21no—
826C4×C59—21no—
827C4×C59—21no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59—41no—
831C4×C59—41no—
832C4×C59—41no—
833C4×C59C22×#4111yescharacteristic
834C4×C59#58511yescharacteristic
835Dic59—21no—
836Dic59—21no—
837Dic59—21no—
838Dic59—21no—
839Dic59—21no—
840Dic59—21no—
841Dic59—41no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845Dic59—41no—
846Dic59—41no—
847Dic59—41no—
848Dic59C2×#13712yes—
849#3481—591no—
850Q8×#41—591no—
851#3400—591no—
852#3385—591no—
853#3375—591no—
854#3372—591no—
855#3346—591no—
856#3346—591no—
857#3338—591no—
858#3320—591no—
859#3320—591no—
860#3314—591no—
861#3314—591no—
862#3299—591no—
863#3295—591no—
864D4×SD16—591no—
865#3266—591no—
866#3266D5911yescharacteristic, complemented
867#3182—591no—
868#3181—591no—
869#3181—591no—
870#3117—591no—
871#3117—591no—
872#3116—591no—
873#3112—591no—
874#3110—591no—
875#3110—591no—
876#2970—591no—
877C4×#137—591no—
878C2×#440—591no—
879C2×#440—591no—
880C2×C59—22no—
881C2×C59—42no—
882C2×C59—41no—
883C2×C59—81no—
884C2×C59D4×#4111yescharacteristic
885C2×C59C22×#13711yescharacteristic
886C2×C59#358511yescharacteristic
887D59—22no—
888D59—81no—
889C2×#137C2×D5911yescharacteristic
890C22×SD16—591no—
891C22×SD16C2×D5911yescharacteristic
892#559—591no—
893Q82—591no—
894#557—591no—
895#557—1181no—
896#554—591no—
897#554—591no—
898#554—591no—
899#554—591no—
900#554—591no—
901#554—1181no—
902#554—1181no—
903#554—1181no—
904#553—591no—
905#553—591no—
906#553—1181no—
907#551—1181no—
908#551—1181no—
909D4×Q8—591no—
910D4×Q8—591no—
911D4×Q8C2×D5911yescharacteristic, complemented
912#546—591no—
913#546—1181no—
914#546C2×D5911yescharacteristic
915D42—591no—
916#533—591no—
917#533—591no—
918#533—591no—
919#533—1181no—
920#533—1181no—
921#533—1181no—
922#532—591no—
923#529—591no—
924#529—591no—
925#529—1181no—
926#525—1181no—
927#525—1181no—
928C4×#41—591no—
929C4×#41—591no—
930C4×#41—1181no—
931C2×C4×Q8—591no—
932C2×C4×Q8—591no—
933C2×C4×Q8—591no—
934C2×C4×D4—591no—
935C2×C4×D4—591no—
936C2×C4×D4—1181no—
937#501—591no—
938#501—591no—
939#500—591no—
940#497—591no—
941#497C2×D5911yescharacteristic, complemented
942#492—591no—
943#491—591no—
944#491—591no—
945#489—591no—
946#489—591no—
947#487—591no—
948#486—591no—
949#485—591no—
950#485—591no—
951#484—591no—
952#484—591no—
953#484—591no—
954#484—591no—
955#484—591no—
956#484—591no—
957#481—591no—
958#481—591no—
959#480—591no—
960#480—591no—
961#479—591no—
962#479—591no—
963#479—591no—
964#479—591no—
965#477—591no—
966#477—591no—
967#477—591no—
968#476—591no—
969#474—591no—
970#474—591no—
971#474—591no—
972#474—591no—
973#468—591no—
974#468—591no—
975#468—591no—
976#468C2×D5911yescharacteristic, complemented
977#467—591no—
978#467—591no—
979#467—591no—
980#467C2×D5911yescharacteristic, complemented
981#465—591no—
982#465—591no—
983#465—591no—
984#465—591no—
985#464—591no—
986#464—591no—
987#464—591no—
988#464C2×D5911yescharacteristic, complemented
989#462—591no—
990#461—591no—
991#461—591no—
992#461—591no—
993#461—591no—
994#461C2×D5911yescharacteristic
995#460—591no—
996#460—591no—
997#452—591no—
998#452C2×D5911yescharacteristic
999#451—591no—
1000#451C2×D5911yescharacteristic, complemented
1001#450—591no—
1002#450—591no—
1003#450—591no—
1004#450C2×D5911yescharacteristic
1005#448—591no—
1006#448—591no—
1007#448—591no—
1008#448C2×D5911yescharacteristic, complemented
1009#446—591no—
1010#446—591no—
1011#441—591no—
1012#441—591no—
1013#441—591no—
1014#441—591no—
1015#440—591no—
1016#440—591no—
1017#440—591no—
1018#440—591no—
1019#440—591no—
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440—591no—
1024#440—591no—
1025#440—591no—
1026#440—591no—
1027#440—591no—
1028#440—591no—
1029#440—591no—
1030#440—591no—
1031#440—591no—
1032#440—591no—
1033#440—591no—
1034#440C2×D5911yescharacteristic
1035C4×Q16—591no—
1036C4×Q16—591no—
1037C4×SD16—591no—
1038C4×SD16—591no—
1039#435—591no—
1040#435—591no—
1041#435—591no—
1042#435C2×D5911yescharacteristic, complemented
1043C8×D4—591no—
1044C8×D4—591no—
1045#432—591no—
1046#432—591no—
1047#432—591no—
1048#428—591no—
1049C2×#107—591no—
1050C2×#107—591no—
1051#419—591no—
1052#417—591no—
1053C2×#103—591no—
1054C2×#103—591no—
1055C2×#102—591no—
1056C2×#102—591no—
1057C4×M16—591no—
1058C2×#97—591no—
1059C2×#97—591no—
1060C59#6145311yescharacteristic, complemented, Sylow
1061C2×#41—591no—
1062C2×#41—1181no—
1063C2×#41C22×D5911yescharacteristic
1064C22×Q8—591no—
1065C22×Q8C22×D5911yescharacteristic
1066C22×Q8C22×D5911yescharacteristic
1067C22×D4—591no—
1068C22×D4—1181no—
1069C22×D4C22×D5911yescharacteristic
1070C23×C4—1181no—
1071C23×C4—1181no—
1072#137—24no—
1073C2×Q16—591no—
1074C2×Q16C22×D5911yescharacteristic
1075C2×Q16C22×D5911yescharacteristic
1076C2×Q16C22×D5911yescharacteristic
1077C2×SD16—24no—
1078C2×SD16—591no—
1079C2×SD16—591no—
1080C2×SD16—591no—
1081C2×SD16—591no—
1082C2×SD16—591no—
1083C2×SD16—591no—
1084C2×SD16—1184no—
1085C2×SD16C22×D5911yescharacteristic
1086C2×SD16C22×D5911yescharacteristic
1087C2×SD16C22×D5911yescharacteristic
1088C2×SD16C22×D5911yescharacteristic
1089C2×SD16C22×D5911yescharacteristic
1090C2×SD16C22×D5911yescharacteristic
1091C2×M16—591no—
1092C2×M16C22×D5911yescharacteristic
1093C22×C8—591no—
1094C22×C8—591no—
1095C22×C8—591no—
1096C22×C8C22×D5911yescharacteristic
1097C4⋊Q8—21no—
1098C4⋊Q8—591no—
1099C4⋊Q8—591no—
1100C4⋊Q8—591no—
1101C4⋊Q8—591no—
1102C4⋊Q8—591no—
1103C4⋊Q8—591no—
1104C4⋊Q8—1181no—
1105C4⋊Q8—1181no—
1106C4⋊Q8—1181no—
1107C4⋊Q8—1181no—
1108C4⋊Q8—1181no—
1109C4⋊Q8C22×D5911yescharacteristic
1110#127—591no—
1111#126—1181no—
1112#126—1181no—
1113#126—1181no—
1114#126—1181no—
1115#125—591no—
1116#125—591no—
1117#125—1181no—
1118#125—1181no—
1119#125—1181no—
1120#125—1181no—
1121#125—1181no—
1122#125—1181no—
1123#125—1181no—
1124#125—1181no—
1125#125—1181no—
1126#125—1181no—
1127#124—591no—
1128#124—1181no—
1129#124—1181no—
1130#124C22×D5911yescharacteristic
1131#123—21no—
1132#123—1181no—
1133#123—1181no—
1134#123—1181no—
1135#123—1181no—
1136#123—1181no—
1137#123—1181no—
1138#123—1181no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—591no—
1142C22⋊Q8—591no—
1143C22⋊Q8—591no—
1144C22⋊Q8—591no—
1145C22⋊Q8—591no—
1146C22⋊Q8—1181no—
1147C22⋊Q8—1181no—
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⋊Q8—1181no—
1159C22⋊Q8—1181no—
1160C22⋊Q8—1181no—
1161C22⋊Q8—1181no—
1162C22⋊Q8—1181no—
1163C22⋊Q8—1181no—
1164C22⋊Q8C22×D5911yescharacteristic
1165C22⋊Q8C22×D5911yescharacteristic
1166C22⋊Q8C22×D5911yescharacteristic
1167#121—21no—
1168#121—591no—
1169#121—591no—
1170#121—591no—
1171#121—1181no—
1172#121—1181no—
1173#121—1181no—
1174#121—1181no—
1175#121—1181no—
1176#121C22×D5911yescharacteristic
1177#120—21no—
1178#120—1181no—
1179#120—1181no—
1180#120—1181no—
1181C4×Q8—591no—
1182C4×Q8—591no—
1183C4×Q8—591no—
1184C4×Q8—591no—
1185C4×Q8—591no—
1186C4×Q8—591no—
1187C4×Q8—591no—
1188C4×Q8—591no—
1189C4×Q8—591no—
1190C4×Q8—591no—
1191C4×Q8—591no—
1192C4×Q8—591no—
1193C4×Q8—591no—
1194C4×Q8—1181no—
1195C4×Q8—1181no—
1196C4×Q8—1181no—
1197C4×Q8—1181no—
1198C4×Q8—1181no—
1199C4×Q8—1181no—
1200C4×Q8—1181no—
1201C4×Q8—1181no—
1202C4×Q8—1181no—
1203C4×Q8—1181no—
1204C4×Q8—1181no—
1205C4×Q8C22×D5911yescharacteristic
1206C4×D4—21no—
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—1181no—
1220C4×D4—1181no—
1221C4×D4—1181no—
1222C4×D4—1181no—
1223C4×D4—1181no—
1224C4×D4—1181no—
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×D4C22×D5911yescharacteristic
1238C4×D4C22×D5911yescharacteristic
1239#117—591no—
1240#117—591no—
1241#117—591no—
1242#117—591no—
1243#117—1181no—
1244#117—1181no—
1245#117—1181no—
1246#117—1181no—
1247#117—1181no—
1248#117—1181no—
1249C2×C4⋊C4—591no—
1250C2×C4⋊C4—591no—
1251C2×C4⋊C4—591no—
1252C2×C4⋊C4—591no—
1253C2×C4⋊C4—591no—
1254C2×C4⋊C4—1181no—
1255C2×C4⋊C4—1181no—
1256C2×C4⋊C4—1181no—
1257C2×C4⋊C4—1181no—
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—1181no—
1260C2×C22⋊C4—1181no—
1261C2×C22⋊C4—1181no—
1262C2×C42—591no—
1263C2×C42—591no—
1264C2×C42—591no—
1265C2×C42—1181no—
1266C2×C42—1181no—
1267C2×C42—1181no—
1268C2×C42—1181no—
1269#107—591no—
1270#107—591no—
1271#107—591no—
1272#107—591no—
1273#107—591no—
1274#107—591no—
1275#107—591no—
1276#107—591no—
1277#107—591no—
1278#107—591no—
1279#107—591no—
1280#107C22×D5911yescharacteristic
1281#106—591no—
1282#106—591no—
1283#106—591no—
1284#106—591no—
1285C4⋊C8—591no—
1286C4⋊C8—591no—
1287C4⋊C8—591no—
1288C4⋊C8—591no—
1289C4⋊C8—591no—
1290C4⋊C8C22×D5911yescharacteristic
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#103—591no—
1303#103—591no—
1304#103—591no—
1305#103—591no—
1306#103—591no—
1307#103C22×D5911yescharacteristic
1308#103C22×D5911yescharacteristic
1309#103C22×D5911yescharacteristic
1310#103C22×D5911yescharacteristic
1311#102—591no—
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102—591no—
1316#102—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102C22×D5911yescharacteristic
1322#102C22×D5911yescharacteristic
1323C22⋊C8—591no—
1324C22⋊C8—591no—
1325C22⋊C8—591no—
1326C22⋊C8—591no—
1327C22⋊C8C22×D5911yescharacteristic
1328C22⋊C8C22×D5911yescharacteristic
1329#97—591no—
1330#97—591no—
1331#97—591no—
1332#97—591no—
1333#97—591no—
1334#97—591no—
1335#97—591no—
1336#97C22×D5911yescharacteristic
1337C4×C8—591no—
1338C4×C8—591no—
1339C24—21no—
1340C24—1181no—
1341#41—22no—
1342#41—41no—
1343#41—1184no—
1344#41—4722no—
1345C2×Q8—21no—
1346C2×Q8—21no—
1347C2×Q8—22no—
1348C2×Q8—22no—
1349C2×Q8—41no—
1350C2×Q8—41no—
1351C2×Q8—591no—
1352C2×Q8—591no—
1353C2×Q8—1181no—
1354C2×Q8—1181no—
1355C2×Q8—1181no—
1356C2×Q8—1181no—
1357C2×Q8—1181no—
1358C2×Q8—1182no—
1359C2×Q8—2361no—
1360C2×Q8C23×D5911yescharacteristic
1361C2×Q8C23×D5911yescharacteristic
1362C2×Q8C23×D5911yescharacteristic
1363C2×Q8C23×D5911yescharacteristic
1364C2×D4—22no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—41no—
1369C2×D4—591no—
1370C2×D4—591no—
1371C2×D4—591no—
1372C2×D4—1181no—
1373C2×D4—1181no—
1374C2×D4—1181no—
1375C2×D4—1182no—
1376C2×D4—1181no—
1377C2×D4—1181no—
1378C2×D4—1181no—
1379C2×D4—2361no—
1380C2×D4—2364no—
1381C2×D4D4×D5911yescharacteristic
1382C2×D4C23×D5911yescharacteristic
1383C2×D4C23×D5911yescharacteristic
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—591no—
1389C22×C4—591no—
1390C22×C4—591no—
1391C22×C4—591no—
1392C22×C4—591no—
1393C22×C4—591no—
1394C22×C4—591no—
1395C22×C4—1181no—
1396C22×C4—1181no—
1397C22×C4—1181no—
1398C22×C4—1181no—
1399C22×C4—1181no—
1400C22×C4—1181no—
1401C22×C4—1181no—
1402C22×C4—1181no—
1403C22×C4—1181no—
1404C22×C4—1181no—
1405C22×C4—1181no—
1406C22×C4—1181no—
1407C22×C4—1181no—
1408C22×C4—4722no—
1409C22×C4—4722no—
1410C22×C4C23×D5911yescharacteristic
1411C22×C4C23×D5911yescharacteristic
1412Q16—22no—
1413Q16—22no—
1414Q16—41no—
1415Q16—2361no—
1416SD16—22no—
1417SD16—22no—
1418SD16—22no—
1419SD16—22no—
1420SD16—41no—
1421SD16—1182no—
1422SD16—1182no—
1423SD16—1182no—
1424SD16—2361no—
1425SD16—2361no—
1426SD16—2361no—
1427SD16#1174568714yescomplemented
1428M16—22no—
1429M16—2361no—
1430C2×C8—22no—
1431C2×C8—591no—
1432C2×C8—591no—
1433C2×C8—591no—
1434C2×C8—591no—
1435C2×C8—1182no—
1436C2×C8—2361no—
1437C2×C8—2361no—
1438C2×C8C23×D5911yescharacteristic
1439C2×C8C23×D5911yescharacteristic
1440C2×C8C23×D5911yescharacteristic
1441C2×C8C23×D5911yescharacteristic
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—591no—
1449C4⋊C4—591no—
1450C4⋊C4—591no—
1451C4⋊C4—591no—
1452C4⋊C4—591no—
1453C4⋊C4—591no—
1454C4⋊C4—591no—
1455C4⋊C4—591no—
1456C4⋊C4—591no—
1457C4⋊C4—591no—
1458C4⋊C4—591no—
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⋊C4—1181no—
1479C4⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1493C4⋊C4C23×D5911yescharacteristic
1494C4⋊C4C23×D5911yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—591no—
1503C22⋊C4—591no—
1504C22⋊C4—591no—
1505C22⋊C4—591no—
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⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4D4×D5911yescharacteristic
1525C22⋊C4D4×D5911yescharacteristic
1526C42—21no—
1527C42—591no—
1528C42—591no—
1529C42—591no—
1530C42—591no—
1531C42—591no—
1532C42—591no—
1533C42—591no—
1534C42—591no—
1535C42—591no—
1536C42—1181no—
1537C42—1181no—
1538C42—1181no—
1539C42—1181no—
1540C42—1181no—
1541C42—1181no—
1542C42—1181no—
1543C42—1181no—
1544C42—1181no—
1545C42—1181no—
1546C42—1181no—
1547C42—1181no—
1548C42C23×D5911yescharacteristic
1549C23—21no—
1550C23—21no—
1551C23—42no—
1552C23—42no—
1553C23—81no—
1554C23—591no—
1555C23—1181no—
1556C23—4721no—
1557C23—2362no—
1558C23—2362no—
1559C23C2×D4×D5911yescharacteristic
1560C23C2×D4×D5911yescharacteristic
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—21no—
1566Q8—21no—
1567Q8—21no—
1568Q8—42no—
1569Q8—42no—
1570Q8—1182no—
1571Q8—1181no—
1572Q8—1181no—
1573Q8—4721no—
1574Q8—4721no—
1575Q8—4721no—
1576Q8—4721no—
1577Q8—2362no—
1578Q8C2×#1174568712yes—
1579D4—22no—
1580D4—21no—
1581D4—21no—
1582D4—21no—
1583D4—42no—
1584D4—42no—
1585D4—81no—
1586D4—594no—
1587D4—1182no—
1588D4—1181no—
1589D4—1181no—
1590D4—4721no—
1591D4—4721no—
1592D4—2362no—
1593D4—2362no—
1594D4—2362no—
1595D4—2362no—
1596D4C2×#1174568712yes—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—42no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—81no—
1611C2×C4—591no—
1612C2×C4—591no—
1613C2×C4—591no—
1614C2×C4—591no—
1615C2×C4—591no—
1616C2×C4—591no—
1617C2×C4—591no—
1618C2×C4—1182no—
1619C2×C4—1182no—
1620C2×C4—1182no—
1621C2×C4—1181no—
1622C2×C4—1181no—
1623C2×C4—1181no—
1624C2×C4—1181no—
1625C2×C4—1181no—
1626C2×C4—1181no—
1627C2×C4—1181no—
1628C2×C4—1181no—
1629C2×C4—1181no—
1630C2×C4—4721no—
1631C2×C4—4721no—
1632C2×C4—4721no—
1633C2×C4—4721no—
1634C2×C4—4721no—
1635C2×C4—4721no—
1636C2×C4—4721no—
1637C2×C4—4721no—
1638C2×C4—2361no—
1639C2×C4—2362no—
1640C2×C4—2362no—
1641C2×C4—2362no—
1642C2×C4—2361no—
1643C2×C4—2361no—
1644C2×C4—2362no—
1645C2×C4—2362no—
1646C2×C4C2×D4×D5911yescharacteristic
1647C2×C4C2×D4×D5911yescharacteristic
1648C2×C4C2×D4×D5911yescharacteristic
1649C2×C4C2×D4×D5911yescharacteristic
1650C2×C4C24×D5911yescharacteristic
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C8—1181no—
1655C8—1181no—
1656C8—1181no—
1657C8—1181no—
1658C8C2×#1174568712yes—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—21no—
1663C22—22no—
1664C22—21no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—84no—
1671C22—592no—
1672C22—1181no—
1673C22—1181no—
1674C22—4724no—
1675C22—2361no—
1676C22—2361no—
1677C22—2361no—
1678C22#137×D5912yes—
1679C22C22×D4×D5911yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—22no—
1684C4—21no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—592no—
1691C4—1181no—
1692C4—1181no—
1693C4—1181no—
1694C4—1181no—
1695C4—1181no—
1696C4—1181no—
1697C4—2361no—
1698C4—2361no—
1699C4—2361no—
1700C4—2361no—
1701C4—2361no—
1702C4—2361no—
1703C4—2361no—
1704C4C22×#1174568711yescharacteristic
1705C4#1683823711yescharacteristic
1706C2—22no—
1707C2—41no—
1708C2—42no—
1709C2—81no—
1710C2—1182no—
1711C2—4721no—
1712C2D4×#1174568711yescharacteristic
1713C2C2×#137×D5911yescharacteristic
1714C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3266C2
socleC22×C59C23×D4
prime radical#21437701C2
hypercenter#3266D59
hypocenterC59#61453
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
2. Q8×#11745687C2semidirect
3. #21437146C2semidirect
4. #21437007C2semidirect
5. #21436905C2semidirect
6. #21436872C2semidirect
7. #21436583C2semidirect
8. #21436576C2semidirect
9. #21436485C2semidirect
10. #21436267C2semidirect
11. #21436260C2semidirect
12. #21436177C2semidirect
13. #21436170C2semidirect
14. #21435965C2semidirect
15. #21435913C2semidirect
16. SD16×C22⋊D59C2semidirect
17. #21435600C2semidirect
18. #21434809C2semidirect
19. #21434802C2semidirect
20. #21434800C2semidirect
21. #21434268C2semidirect
22. #21434266C2semidirect
23. #21434251C2semidirect
24. #21434213C2semidirect
25. #21434194C2semidirect
26. #21434190C2semidirect
27. #21433106C2semidirect
28. #137×Dic59C2semidirect
29. C2×#16837503C2semidirect
30. #440×D59C2semidirect
31. C59×#3266C2semidirect
34. Q8×Dic118C22semidirect
36. #16838127C22semidirect
42. #16838110C22semidirect
44. #16838109C22semidirect
51. Q8×C22⋊D59C22semidirect
56. #16837957C22semidirect
59. #16837954C22semidirect
60. #16837954C22semidirect
70. C2×Q8×Dic59C22semidirect
71. C2×Q8×Dic59C22semidirect
72. C4×Q8×D59C22semidirect
76. #16837811C22semidirect
77. #16837810C22semidirect
78. #16837806C22semidirect
79. #16837795C22semidirect
81. #16837770C22semidirect
82. #16837769C22semidirect
83. #16837763C22semidirect
84. #16837761C22semidirect
85. #16837751C22semidirect
87. #16837744C22semidirect
88. #16837740C22semidirect
89. #16837738C22semidirect
90. #16837736C22semidirect
91. #16837736C22semidirect
92. #16837736C22semidirect
93. #16837735C22semidirect
94. #16837735C22semidirect
97. #16837716C22semidirect
98. #16837713C22semidirect
99. #16837710C22semidirect
100. #16837709C22semidirect
101. #16837707C22semidirect
102. #16837707C22semidirect
103. #16837695C22semidirect
104. #16837695C22semidirect
105. #16837695C22semidirect
107. #16837683C22semidirect
110. #16837680C22semidirect
111. #16837650C22semidirect
112. #16837648C22semidirect
113. #16837646C22semidirect
114. #16837641C22semidirect
115. #16837640C22semidirect
116. #16837640C22semidirect
121. #16837626C22semidirect
122. #16837626C22semidirect
123. #16837621C22semidirect
124. #16837610C22semidirect
127. #16837605C22semidirect
128. #16837604C22semidirect
132. #16837556C22semidirect
137. #16837541C22semidirect
139. #16837531C22semidirect
140. #16837530C22semidirect
141. #16837509C22semidirect
142. #16837509C22semidirect
143. #16837509C22semidirect
144. #16837506C22semidirect
145. #16837505C22semidirect
146. #16837505C22semidirect
147. #16837505C22semidirect
148. #16837504C22semidirect
154. #16837503C22semidirect
155. #16837503C22semidirect
156. #16837503C22semidirect
157. #16837503C22semidirect
158. #16837503C22semidirect
160. #16837501C22semidirect
161. #16837500C22semidirect
163. #16837499C22semidirect
164. Q16×Dic59C22semidirect
165. Q16×Dic59C22semidirect
168. #16837476C22semidirect
169. #16837474C22semidirect
170. #16837471C22semidirect
173. #16837458C22semidirect
174. #16837456C22semidirect
175. #16837456C22semidirect
176. #16837444C22semidirect
177. C2×#14273661C22semidirect
178. #107×D59C22semidirect
179. #16837411C22semidirect
181. C2×#14273651C22semidirect
182. #103×D59C22semidirect
185. M16×Dic59C22semidirect
186. C2×#14273637C22semidirect
187. #97×D59C22semidirect
190. D4×Q8×C59C22semidirect
192. C59×#497C22semidirect
193. C59×#468C22semidirect
194. C59×#467C22semidirect
195. C59×#464C22semidirect
198. C59×#451C22semidirect
200. C59×#448C22semidirect
202. C59×#435C22semidirect
562. SD16×C59#41semidirect
747. C22⋊D59#137semidirect
866. #3266D59semidirect
911. D4×Q8C2×D59semidirect
941. #497C2×D59semidirect
976. #468C2×D59semidirect
980. #467C2×D59semidirect
988. #464C2×D59semidirect
1000. #451C2×D59semidirect
1008. #448C2×D59semidirect
1042. #435C2×D59semidirect
1060. C59#61453semidirect
1427. SD16#11745687semidirect

Maximal subgroups

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

subgroupindex
#214377012
Q8×#117456872
#214371462
#214370072
#214369052
#214368722
#214365832
#214365762
#214364852
#214362672
#214362602
#214361772
#214361702
#214359652
#214359132
SD16×C22⋊D592
#214356002
#214348092
#214348022
#214348002
#214342682
#214342662
#214342512
#214342132
#214341942
#214341902
#214331062
#137×Dic592
C2×#168375032
#440×D592
C59×#32662
#6145359