Finite Group Databasebeta

← #29470685

Subgroups — #29470685

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#21437706C211yesmaximal, characteristic, complemented
2#21437660C211yesmaximal, characteristic, complemented
3#21437164C211yesmaximal, characteristic, complemented
4#21437056C211yesmaximal, characteristic, complemented
5#21436925C211yesmaximal, characteristic, complemented
6#21436851C211yesmaximal, characteristic, complemented
7#21436598C211yesmaximal, characteristic, complemented
8#21436553C211yesmaximal, characteristic, complemented
9#21436477C211yesmaximal, characteristic, complemented
10#21436254C211yesmaximal, characteristic, complemented
11#21436179C211yesmaximal, characteristic, complemented
12#21436119C211yesmaximal, characteristic, complemented
13#21436074C211yesmaximal, characteristic, complemented
14#21435948C211yesmaximal, characteristic, complemented
15#21435933C211yesmaximal, characteristic, complemented
16#21435783C211yesmaximal, characteristic, complemented
17#21435626C211yesmaximal, characteristic, complemented
18#21435581C211yesmaximal, characteristic, complemented
19#21434825C211yesmaximal, characteristic, complemented
20#21434805C211yesmaximal, characteristic, complemented
21#21434794C211yesmaximal, characteristic, complemented
22#21434248C211yesmaximal, characteristic, complemented
23#21434236C211yesmaximal, characteristic, complemented
24#21434236C211yesmaximal, characteristic, complemented
25#21434207C211yesmaximal, characteristic, complemented
26#21434207C211yesmaximal, characteristic, complemented
27#21434196C211yesmaximal, characteristic, complemented
28C4×#14273755C211yesmaximal, characteristic, complemented
29#21432898C211yesmaximal, characteristic, complemented
30C2×#16837515C211yesmaximal, characteristic, complemented
31C59×#2970C211yesmaximal, characteristic, complemented
32C2×#14273755C2211yescharacteristic
33C2×#14273749C2211yescharacteristic
34C22×D472C2211yescharacteristic
35#16838137C2211yescharacteristic, complemented
36#16838125C2211yescharacteristic, complemented
37#16838117C2211yescharacteristic, complemented
38#16838112C2211yescharacteristic, complemented
39#16838112C2211yescharacteristic, complemented
40#16838109C2211yescharacteristic
41#16838102—21no—
42#16838098C2211yescharacteristic
43#16838098C2211yescharacteristic, complemented
44#16838096—21no—
45#16838093—21no—
46#16838092C2211yescharacteristic
47#16838092C2211yescharacteristic, complemented
48#16838081—21no—
49#16838081—21no—
50#16838076—21no—
51#16838076—21no—
52#16838057C2211yescharacteristic, complemented
53#16838048C2211yescharacteristic
54#16838048C2211yescharacteristic
55#16838048C2211yescharacteristic, complemented
56#16838048C2211yescharacteristic, complemented
57#16838040—21no—
58D4×D236C2211yescharacteristic
59#16837959C2211yescharacteristic, complemented
60#16837952C2211yescharacteristic, complemented
61#16837939—21no—
62#16837936C2211yescharacteristic
63#16837936C2211yescharacteristic, complemented
64#16837936C2211yescharacteristic, complemented
65#16837936C2211yescharacteristic, complemented
66#16837930—21no—
67#16837930—21no—
68#16837911—21no—
69#16837911—21no—
70#16837909—21no—
71C4×#11745685C2211yescharacteristic, complemented
72C4×#11745685C2211yescharacteristic, complemented
73C4×#11745685C2211yescharacteristic, complemented
74C2×C4×D236C2211yescharacteristic
75C2×C4×D236C2211yescharacteristic, complemented
76C2×C4×D236C2211yescharacteristic, complemented
77C4×D4×D59—21no—
78#117×D59—21no—
79#16837811C2211yescharacteristic, complemented
80#16837811C2211yescharacteristic, complemented
81#16837804C2211yescharacteristic, complemented
82#16837796C2211yescharacteristic, complemented
83#16837791C2211yescharacteristic
84#16837786C2211yescharacteristic, complemented
85#16837771C2211yescharacteristic, complemented
86#16837767C2211yescharacteristic, complemented
87#16837762C2211yescharacteristic, complemented
88#16837762C2211yescharacteristic, complemented
89#16837757C2211yescharacteristic, complemented
90#16837757C2211yescharacteristic, complemented
91#16837744C2211yescharacteristic, complemented
92#16837744C2211yescharacteristic, complemented
93#16837738C2211yescharacteristic, complemented
94#16837738C2211yescharacteristic, complemented
95#16837733C2211yescharacteristic, complemented
96#16837733C2211yescharacteristic, complemented
97#16837727C2211yescharacteristic, complemented
98#16837727C2211yescharacteristic, complemented
99#16837727C2211yescharacteristic, complemented
100#16837727C2211yescharacteristic, complemented
101#16837716C2211yescharacteristic
102#16837716C2211yescharacteristic, complemented
103#16837710C2211yescharacteristic, complemented
104#16837710C2211yescharacteristic, complemented
105#16837703C2211yescharacteristic, complemented
106#16837703C2211yescharacteristic, complemented
107#16837703C2211yescharacteristic, complemented
108#16837703C2211yescharacteristic, complemented
109#16837703C2211yescharacteristic, complemented
110#16837703C2211yescharacteristic, complemented
111#16837688C2211yescharacteristic, complemented
112#16837683C2211yescharacteristic, complemented
113#16837683C2211yescharacteristic, complemented
114#16837683C2211yescharacteristic, complemented
115#16837660C2211yescharacteristic, complemented
116#16837655C2211yescharacteristic
117#16837648C2211yescharacteristic, complemented
118#16837648C2211yescharacteristic, complemented
119#16837643C2211yescharacteristic, complemented
120#16837643C2211yescharacteristic, complemented
121#16837638C2211yescharacteristic, complemented
122#16837638C2211yescharacteristic, complemented
123#16837631C2211yescharacteristic
124#16837631C2211yescharacteristic
125#16837631C2211yescharacteristic, complemented
126#16837631C2211yescharacteristic, complemented
127#16837625C2211yescharacteristic, complemented
128#16837625C2211yescharacteristic, complemented
129#16837618C2211yescharacteristic
130#16837618C2211yescharacteristic
131#16837618C2211yescharacteristic, complemented
132#16837618C2211yescharacteristic, complemented
133#16837618C2211yescharacteristic, complemented
134#16837618C2211yescharacteristic, complemented
135#16837608C2211yescharacteristic, complemented
136#16837608C2211yescharacteristic, complemented
137#16837603C2211yescharacteristic, complemented
138#16837598C2211yescharacteristic
139#16837566C2211yescharacteristic, complemented
140#16837566C2211yescharacteristic, complemented
141#16837555C2211yescharacteristic
142#16837555C2211yescharacteristic
143#16837555C2211yescharacteristic, complemented
144#16837555C2211yescharacteristic, complemented
145#16837549C2211yescharacteristic
146#16837549C2211yescharacteristic
147#16837549C2211yescharacteristic, complemented
148#16837549C2211yescharacteristic, complemented
149#16837538C2211yescharacteristic
150#16837538C2211yescharacteristic
151#16837515C2211yescharacteristic
152#16837515C2211yescharacteristic
153#16837515C2211yescharacteristic
154#16837515C2211yescharacteristic
155#16837515C2211yescharacteristic
156#16837515C2211yescharacteristic, complemented
157#16837515C2211yescharacteristic, complemented
158#16837515C2211yescharacteristic, complemented
159#16837515C2211yescharacteristic, complemented
160#16837515C2211yescharacteristic, complemented
161#16837515C2211yescharacteristic, complemented
162#16837510C2211yescharacteristic, complemented
163#16837510C2211yescharacteristic, complemented
164#16837510C2211yescharacteristic, complemented
165#16837504C2211yescharacteristic, complemented
166#16837504C2211yescharacteristic, complemented
167#16837504C2211yescharacteristic, complemented
168#16837504C2211yescharacteristic, complemented
169#16837504C2211yescharacteristic, complemented
170#16837504C2211yescharacteristic, complemented
171#16837504C2211yescharacteristic, complemented
172#16837504C2211yescharacteristic, complemented
173#16837504C2211yescharacteristic, complemented
174#16837504C2211yescharacteristic, complemented
175C4×#11745660C2211yescharacteristic, complemented
176C4×#11745660C2211yescharacteristic, complemented
177C4×D472C2211yescharacteristic
178C4×D472C2211yescharacteristic, complemented
179#16837444C2211yescharacteristic, complemented
180#16837440C2211yescharacteristic, complemented
181C2×#14273659C2211yescharacteristic, complemented
182#16837408C2211yescharacteristic, complemented
183#16837404C2211yescharacteristic, complemented
184#16837399C2211yescharacteristic, complemented
185#16837399C2211yescharacteristic, complemented
186C2×#14273649C2211yescharacteristic
187C2×#14273649C2211yescharacteristic, complemented
188C4×#41×C59C2211yescharacteristic
189C59×#446C2211yescharacteristic, complemented
190C59×#446C2211yescharacteristic, complemented
191C59×#435C2211yescharacteristic
192C59×#435C2211yescharacteristic
193C59×#435C2211yescharacteristic, complemented
194C59×#435C2211yescharacteristic, complemented
195C8×D4×C59C2211yescharacteristic, complemented
196C8×D4×C59C2211yescharacteristic, complemented
197C59×#432C2211yescharacteristic, complemented
198C59×#432C2211yescharacteristic, complemented
199C59×#432C2211yescharacteristic, complemented
200C4×M16×C59C2211yescharacteristic, complemented
201C2×#97×C59C2211yescharacteristic, complemented
202C2×#97×C59C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C22×D236C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C2×D4×D59—21no—
211C22×C4×D59—21no—
212C22×C4×D59—21no—
213C22×C4×D59—21no—
214#14273755—24no—
215#14273749—24no—
216C2×Dic236C2311yescharacteristic
217C2×Dic236C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×D472—24no—
227C2×D472C2311yescharacteristic
228C2×D472C2311yescharacteristic
229C2×D472C2311yescharacteristic
230C2×D472C2311yescharacteristic
231C2×D472C2311yescharacteristic
232C2×D472C2311yescharacteristic
233#14273727C2311yescharacteristic
234#14273727C2311yescharacteristic
235#14273727C2311yescharacteristic
236#14273724C2311yescharacteristic
237#14273722—21no—
238#14273722—21no—
239#14273722—21no—
240#14273722—21no—
241#14273721—21no—
242#14273721—21no—
243#14273721—21no—
244#14273721—21no—
245#14273720—21no—
246#14273720—21no—
247#14273719—21no—
248#14273719C2311yescharacteristic
249#14273719C2311yescharacteristic
250#14273719C2311yescharacteristic
251#14273719C2311yescharacteristic
252#14273718—21no—
253#14273717—21no—
254#14273717—21no—
255#14273716—21no—
256#14273715—21no—
257#14273715C2311yescharacteristic
258#14273715C2311yescharacteristic
259#14273715C2311yescharacteristic
260#14273715C2311yescharacteristic
261#14273713—21no—
262#14273713—21no—
263#14273712—21no—
264#14273712—21no—
265#14273712—21no—
266#14273712—21no—
267#14273712—21no—
268#14273712—21no—
269#14273710—21no—
270#14273710—21no—
271#14273710—21no—
272#14273710—21no—
273#14273709—21no—
274#14273709—21no—
275#14273709—21no—
276#14273709—21no—
277#14273708—21no—
278#14273708—21no—
279#14273706—21no—
280#14273706C2311yescharacteristic
281#14273706C2311yescharacteristic
282#14273706C2311yescharacteristic
283#14273706C2311yescharacteristic
284#14273706C2311yescharacteristic
285#14273706C2311yescharacteristic
286#14273705—21no—
287#14273705—21no—
288#14273705—21no—
289#14273705—21no—
290#14273704—21no—
291#14273704—21no—
292#14273703—21no—
293#14273703—21no—
294#14273703—21no—
295#14273702—21no—
296#14273701—21no—
297#14273701C2311yescharacteristic
298#14273701C2311yescharacteristic
299#14273701C2311yescharacteristic
300#14273701C2311yescharacteristic
301#14273701C2311yescharacteristic
302#14273701C2311yescharacteristic
303#14273700—21no—
304#14273700—21no—
305#14273700—21no—
306#14273700—21no—
307#14273699—21no—
308#14273699—21no—
309#14273698—21no—
310#14273698—21no—
311#14273697—21no—
312#14273697—21no—
313#14273695—21no—
314#14273695—21no—
315#14273695—21no—
316#14273695—21no—
317C4×Dic118—21no—
318C4×Dic118C2311yescharacteristic
319C4×Dic118C2311yescharacteristic
320C4×Dic118C2311yescharacteristic
321C4×Dic118C2311yescharacteristic
322C4×Dic118C2311yescharacteristic
323C4×Dic118C2311yescharacteristic
324C4×D236—21no—
325C4×D236—21no—
326C4×D236—21no—
327C4×D236—21no—
328C4×D236—21no—
329C4×D236—21no—
330C4×D236—21no—
331C4×D236C2311yescharacteristic
332C4×D236C2311yescharacteristic
333C4×D236C2311yescharacteristic
334C4×D236C2311yescharacteristic
335C4×D236C2311yescharacteristic
336C4×D236C2311yescharacteristic
337C4×D236C2311yescharacteristic
338C4×D236C2311yescharacteristic
339C4×D236C2311yescharacteristic
340C4×D236C2311yescharacteristic
341C4×D236C2311yescharacteristic
342C4×D236C2311yescharacteristic
343C4×D236C2311yescharacteristic
344C4×D236C2311yescharacteristic
345D4×Dic59—21no—
346#14273689—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59—21no—
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359#14273686—21no—
360#14273686C2311yescharacteristic
361#14273686C2311yescharacteristic
362#14273686C2311yescharacteristic
363#14273685—21no—
364#14273685—21no—
365#14273684—21no—
366#14273684—21no—
367#14273684—21no—
368#14273684—21no—
369#14273684—21no—
370#14273684—21no—
371#14273684—21no—
372#14273683—21no—
373#14273683—21no—
374C2×C4⋊Dic59C2311yescharacteristic
375C2×C4⋊Dic59C2311yescharacteristic
376C2×C4⋊Dic59C2311yescharacteristic
377C4⋊C4×D59—21no—
378C4⋊C4×D59—21no—
379C4⋊C4×D59—21no—
380C2×(C2×D59)⋊C4—21no—
381C2×(C2×D59)⋊C4—21no—
382C2×(C2×D59)⋊C4—21no—
383C22⋊C4×D59—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C42×D59—21no—
388C42×D59—21no—
389C42×D59—21no—
390#14273661C2311yescharacteristic
391#14273661C2311yescharacteristic
392#14273661C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273661C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273659C2311yescharacteristic
401#14273659C2311yescharacteristic
402#14273659C2311yescharacteristic
403#14273659C2311yescharacteristic
404#14273659C2311yescharacteristic
405#14273659C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273652C2311yescharacteristic
416#14273652C2311yescharacteristic
417#14273652C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273649C2311yescharacteristic
428#14273649C2311yescharacteristic
429#14273649C2311yescharacteristic
430#14273649C2311yescharacteristic
431#14273649C2311yescharacteristic
432#14273649C2311yescharacteristic
433#14273649C2311yescharacteristic
434#14273649C2311yescharacteristic
435#14273649C2311yescharacteristic
436#14273649C2311yescharacteristic
437#14273649C2311yescharacteristic
438C2×#41×C59D411yescharacteristic
439C2×M16×C59C2311yescharacteristic
440C2×M16×C59C2311yescharacteristic
441C22×C8×C59C2311yescharacteristic
442C22×C8×C59C2311yescharacteristic
443C22×C8×C59C2311yescharacteristic
444C22×C8×C59C2311yescharacteristic
445C4×Q8×C59D411yescharacteristic
446C4×Q8×C59C2311yescharacteristic
447C4×D4×C59D411yescharacteristic
448C4×D4×C59D411yescharacteristic
449C4×D4×C59D411yescharacteristic
450C4×D4×C59C2311yescharacteristic
451C4×D4×C59C2311yescharacteristic
452C4×D4×C59C2311yescharacteristic
453#117×C59D411yescharacteristic
454#117×C59D411yescharacteristic
455#117×C59D411yescharacteristic
456C2×C42×C59C2311yescharacteristic
457C2×C42×C59C2311yescharacteristic
458C2×C42×C59C2311yescharacteristic
459C4⋊C8×C59C2311yescharacteristic
460C4⋊C8×C59C2311yescharacteristic
461C4⋊C8×C59C2311yescharacteristic
462C4⋊C8×C59C2311yescharacteristic
463C4⋊C8×C59C2311yescharacteristic
464C4⋊C8×C59C2311yescharacteristic
465C22⋊C8×C59C2311yescharacteristic
466C22⋊C8×C59C2311yescharacteristic
467C22⋊C8×C59C2311yescharacteristic
468C22⋊C8×C59C2311yescharacteristic
469C22⋊C8×C59C2311yescharacteristic
470C22⋊C8×C59C2311yescharacteristic
471#97×C59C2311yescharacteristic
472#97×C59C2311yescharacteristic
473#97×C59C2311yescharacteristic
474#97×C59C2311yescharacteristic
475#97×C59C2311yescharacteristic
476#97×C59C2311yescharacteristic
477#97×C59C2311yescharacteristic
478#97×C59C2311yescharacteristic
479C4×C8×C59C2311yescharacteristic
480C4×C8×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483C23×D59—21no—
484#41×C59—42no—
485C2×Q8×C59C2×D411yescharacteristic
486C2×D4×C59C2×D411yescharacteristic
487C2×D4×C59C2×D411yescharacteristic
488C2×D4×C59C2×D411yescharacteristic
489C22×C4×C59C2×D411yescharacteristic
490C22×C4×C59C2×D411yescharacteristic
491C22×C4×C59C2×D411yescharacteristic
492C22×C4×C59C2×D411yescharacteristic
493C22×C4×C59C2×D411yescharacteristic
494C22×C4×C59C2×D411yescharacteristic
495C22×C4×C59C2411yescharacteristic
496C22×C4×C59C2411yescharacteristic
497C22×C4×C59C2411yescharacteristic
498C2×C22⋊D59—21no—
499C2×C22⋊D59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C22×Dic59—21no—
508C22×Dic59—21no—
509C22×Dic59—21no—
510D4×D59—44no—
511#11745685—22no—
512#11745685—22no—
513#11745685—22no—
514#11745685—41no—
515#11745685—41no—
516#11745685—41no—
517#11745685—82no—
518C2×D236—22no—
519C2×D236—22no—
520C2×D236—22no—
521C2×D236—21no—
522C2×D236—21no—
523C2×D236—21no—
524C2×D236—21no—
525C2×D236—21no—
526C2×D236—41no—
527C2×D236—41no—
528C2×D236—41no—
529C2×D236C2411yescharacteristic
530C2×D236C2411yescharacteristic
531C2×D236C2411yescharacteristic
532C2×D236C2411yescharacteristic
533C2×D236C2411yescharacteristic
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—21no—
551C2×C4×D59—44no—
552C2×C4×D59—82no—
553C2×C4×D59—82no—
554C2×Dic118—21no—
555C2×Dic118—21no—
556C2×Dic118C2411yescharacteristic
557C2×Dic118C2411yescharacteristic
558C2×Dic118C2411yescharacteristic
559M16×C59—22no—
560M16×C59—41no—
561C2×C8×C59—22no—
562C2×C8×C59—22no—
563C2×C8×C59—41no—
564C2×C8×C59—41no—
565C2×C8×C59C2411yescharacteristic
566C2×C8×C59C2411yescharacteristic
567C2×C8×C59C2411yescharacteristic
568C2×C8×C59C2411yescharacteristic
569C2×C8×C59C2411yescharacteristic
570C2×C8×C59C2411yescharacteristic
571C2×C8×C59C2411yescharacteristic
572C2×C8×C59C2411yescharacteristic
573C4⋊C4×C59C2×D411yescharacteristic
574C4⋊C4×C59C2×D411yescharacteristic
575C4⋊C4×C59C2×D411yescharacteristic
576C4⋊C4×C59C2×D411yescharacteristic
577C4⋊C4×C59C2×D411yescharacteristic
578C4⋊C4×C59C2×D411yescharacteristic
579C22⋊C4×C59C2×D411yescharacteristic
580C22⋊C4×C59C2×D411yescharacteristic
581C22⋊C4×C59C2×D411yescharacteristic
582C22⋊C4×C59C2×D411yescharacteristic
583C22⋊C4×C59C2×D411yescharacteristic
584C22⋊C4×C59C2×D411yescharacteristic
585C42×C59C2×D411yescharacteristic
586C42×C59C2×D411yescharacteristic
587C42×C59C2×D411yescharacteristic
588C42×C59C2×D411yescharacteristic
589C42×C59C2×D411yescharacteristic
590C42×C59C2×D411yescharacteristic
591C42×C59C2411yescharacteristic
592C42×C59C2411yescharacteristic
593C42×C59C2411yescharacteristic
594C42×C59C2411yescharacteristic
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604(C2×D59)⋊C4—21no—
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—
632C4⋊Dic59—21no—
633C4⋊Dic59—21no—
634C4⋊Dic59—21no—
635C4⋊Dic59—21no—
636C4⋊Dic59—21no—
637C4⋊Dic59—21no—
638C4⋊Dic59—21no—
639C4⋊Dic59C2411yescharacteristic
640C4⋊Dic59C2411yescharacteristic
641C4⋊Dic59C2411yescharacteristic
642C4⋊Dic59C2411yescharacteristic
643C4⋊Dic59C2411yescharacteristic
644C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59—21no—
676Dic236—22no—
677Dic236—41no—
678D472—22no—
679D472—22no—
680D472—22no—
681D472—22no—
682D472—41no—
683D472#4114yescomplemented
684#11745660—22no—
685#11745660—22no—
686#11745660—22no—
687#11745660—22no—
688#11745660—41no—
689#11745660—41no—
690#11745660—41no—
691#11745660—41no—
692C23×C59C22×D411yescharacteristic
693C23×C59C22×D411yescharacteristic
694C23×C59C22×D411yescharacteristic
695C22×D59—21no—
696C22×D59—21no—
697C22×D59—21no—
698C22×D59—21no—
699C22×D59—21no—
700C22×D59—42no—
701C22×D59—42no—
702C22×D59—42no—
703C22×D59—42no—
704C22×D59—42no—
705C22×D59—42no—
706C22×D59—81no—
707C22×D59—81no—
708C22×D59—81no—
709Q8×C59—41no—
710D4×C59—22no—
711D4×C59—22no—
712D4×C59—41no—
713C2×C4×C59—22no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—41no—
721C2×C4×C59—41no—
722C2×C4×C59—41no—
723C2×C4×C59—41no—
724C2×C4×C59—41no—
725C2×C4×C59C22×D411yescharacteristic
726C2×C4×C59C22×D411yescharacteristic
727C2×C4×C59C22×D411yescharacteristic
728C2×C4×C59C22×D411yescharacteristic
729C2×C4×C59C22×D411yescharacteristic
730C2×C4×C59C22×D411yescharacteristic
731C2×C4×C59C22×D411yescharacteristic
732C2×C4×C59C22×D411yescharacteristic
733C2×C4×C59C22×D411yescharacteristic
734C2×C4×C59C22×D411yescharacteristic
735C2×C4×C59C22×D411yescharacteristic
736C2×C4×C59C2511yescharacteristic
737C22⋊D59—42no—
738C22⋊D59—42no—
739C22⋊D59—42no—
740C22⋊D59—42no—
741C22⋊D59—42no—
742C22⋊D59—81no—
743C22⋊D59—81no—
744C22⋊D59—81no—
745C22⋊D59—81no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—42no—
758C2×Dic59—81no—
759C2×Dic59—81no—
760D236—21no—
761D236—21no—
762D236—21no—
763D236—21no—
764D236—21no—
765D236—21no—
766D236—21no—
767D236—21no—
768D236—42no—
769D236—42no—
770D236—42no—
771D236—42no—
772D236—81no—
773D236C2×#4112yes—
774D236C2×#4112yes—
775C4×D59—42no—
776C4×D59—42no—
777C4×D59—42no—
778C4×D59—42no—
779C4×D59—42no—
780C4×D59—42no—
781C4×D59—42no—
782C4×D59—42no—
783C4×D59—42no—
784C4×D59—42no—
785C4×D59—42no—
786C4×D59—81no—
787C4×D59—81no—
788C4×D59—81no—
789C4×D59—81no—
790C4×D59—81no—
791C4×D59—81no—
792Dic118—21no—
793Dic118—21no—
794Dic118—21no—
795Dic118—21no—
796Dic118—21no—
797Dic118—21no—
798Dic118—81no—
799Dic118—81no—
800C8×C59—21no—
801C8×C59—21no—
802C8×C59—21no—
803C8×C59—21no—
804C8×C59—21no—
805C8×C59—21no—
806C8×C59—21no—
807C8×C59C2×#4112yes—
808#61454—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—21no—
812C22×C59—21no—
813C22×C59—21no—
814C22×C59—21no—
815C22×C59—21no—
816C22×C59—21no—
817C22×C59#57512yes—
818C22×C59C23×D411yescharacteristic
819C2×D59—22no—
820C2×D59—22no—
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—21no—
842C4×C59—21no—
843C4×C59—21no—
844C4×C59—21no—
845C4×C59—21no—
846C4×C59—21no—
847C4×C59—21no—
848C4×C59C22×#4111yescharacteristic
849C4×C59#58511yescharacteristic
850Dic59—41no—
851Dic59—41no—
852Dic59—41no—
853Dic59—41no—
854Dic59—41no—
855Dic59—41no—
856Dic59—41no—
857Dic59—41no—
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#3344—591no—
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#2970D5911yescharacteristic, complemented
889C4×AGL(1,ℤ/8)—591no—
890#2943—591no—
891C2×#442—591no—
892C2×C59—22no—
893C2×C59—41no—
894C2×C59—41no—
895C2×C59D4×#4111yescharacteristic
896C2×C59C2×#57511yescharacteristic
897C2×C59#358511yescharacteristic
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#554—591no—
912#553—591no—
913#553—591no—
914#553—1181no—
915#553—1181no—
916#552—591no—
917#552—591no—
918#552—1181no—
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×#41C2×D5911yescharacteristic
946C2×C4×D4—591no—
947C2×C4×D4—591no—
948C2×C4×D4—591no—
949C2×C4×D4—1181no—
950C2×#117—1181no—
951#501—591no—
952#501—591no—
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#485—591no—
965#484—591no—
966#484—591no—
967#483—591no—
968#483—591no—
969#482—591no—
970#482—591no—
971#482—591no—
972#482—591no—
973#480—591no—
974#480—591no—
975#479—591no—
976#479—591no—
977#478—591no—
978#478—591no—
979#478—591no—
980#478—591no—
981#478—591no—
982#478—591no—
983#475—591no—
984#474—591no—
985#474—591no—
986#474—591no—
987#470—591no—
988#469—591no—
989#468—591no—
990#468—591no—
991#467—591no—
992#467—591no—
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#446C2×D5911yescharacteristic, complemented
1024#446C2×D5911yescharacteristic, complemented
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#441—591no—
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#435C2×D5911yescharacteristic
1054#435C2×D5911yescharacteristic
1055#435C2×D5911yescharacteristic, complemented
1056#435C2×D5911yescharacteristic, complemented
1057C8×D4C2×D5911yescharacteristic, complemented
1058C8×D4C2×D5911yescharacteristic, complemented
1059#432C2×D5911yescharacteristic, complemented
1060#432C2×D5911yescharacteristic, complemented
1061#432C2×D5911yescharacteristic, complemented
1062#428—591no—
1063#427—591no—
1064C2×#106—591no—
1065#418—591no—
1066#417—591no—
1067#416—591no—
1068#416—591no—
1069C2×#102—591no—
1070C2×#102—591no—
1071C4×M16C2×D5911yescharacteristic, complemented
1072C2×#97C2×D5911yescharacteristic, complemented
1073C2×#97C2×D5911yescharacteristic, complemented
1074C59#6145411yescharacteristic, complemented, Sylow
1075C2×#41—591no—
1076C2×#41—591no—
1077C2×#41—591no—
1078C2×#41—1181no—
1079C2×#41D23611yescharacteristic
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×Q16—591no—
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×M16C22×D5911yescharacteristic
1107C2×M16C22×D5911yescharacteristic
1108C22×C8C22×D5911yescharacteristic
1109C22×C8C22×D5911yescharacteristic
1110C22×C8C22×D5911yescharacteristic
1111C22×C8C22×D5911yescharacteristic
1112C4⋊Q8—591no—
1113C4⋊Q8—591no—
1114C4⋊Q8—591no—
1115#127—591no—
1116#126—1181no—
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—591no—
1127#125—591no—
1128#125—591no—
1129#125—591no—
1130#125—1181no—
1131#125—1181no—
1132#125—1181no—
1133#125—1181no—
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—1181no—
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—591no—
1159C22⋊Q8—591no—
1160C22⋊Q8—591no—
1161C22⋊Q8—591no—
1162C22⋊Q8—591no—
1163C22⋊Q8—591no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8—1181no—
1169C22⋊Q8—1181no—
1170C22⋊Q8—1181no—
1171C22⋊Q8—1181no—
1172C22⋊Q8—1181no—
1173C22⋊Q8—1181no—
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×Q8D23611yescharacteristic
1204C4×Q8C22×D5911yescharacteristic
1205C4×D4—591no—
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—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×D4—1181no—
1238C4×D4—1181no—
1239C4×D4—1181no—
1240C4×D4D23611yescharacteristic
1241C4×D4D23611yescharacteristic
1242C4×D4D23611yescharacteristic
1243C4×D4C22×D5911yescharacteristic
1244C4×D4C22×D5911yescharacteristic
1245C4×D4C22×D5911yescharacteristic
1246#117—591no—
1247#117—591no—
1248#117—591no—
1249#117—1181no—
1250#117—1181no—
1251#117—1181no—
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#117D23611yescharacteristic
1262#117D23611yescharacteristic
1263#117D23611yescharacteristic
1264C2×C4⋊C4—591no—
1265C2×C4⋊C4—591no—
1266C2×C4⋊C4—591no—
1267C2×C4⋊C4—1181no—
1268C2×C4⋊C4—1181no—
1269C2×C4⋊C4—1181no—
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—1181no—
1278C2×C42—1181no—
1279C2×C42—1181no—
1280C2×C42C22×D5911yescharacteristic
1281C2×C42C22×D5911yescharacteristic
1282C2×C42C22×D5911yescharacteristic
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107—591no—
1288#107—591no—
1289#107—591no—
1290#107—591no—
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106—591no—
1295#106—591no—
1296#106—591no—
1297#106—591no—
1298#106—591no—
1299C4⋊C8C22×D5911yescharacteristic
1300C4⋊C8C22×D5911yescharacteristic
1301C4⋊C8C22×D5911yescharacteristic
1302C4⋊C8C22×D5911yescharacteristic
1303C4⋊C8C22×D5911yescharacteristic
1304C4⋊C8C22×D5911yescharacteristic
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103—591no—
1312#103—591no—
1313#103—591no—
1314#103—591no—
1315#103—591no—
1316#103—591no—
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⋊C8C22×D5911yescharacteristic
1338C22⋊C8C22×D5911yescharacteristic
1339C22⋊C8C22×D5911yescharacteristic
1340C22⋊C8C22×D5911yescharacteristic
1341C22⋊C8C22×D5911yescharacteristic
1342C22⋊C8C22×D5911yescharacteristic
1343#97C22×D5911yescharacteristic
1344#97C22×D5911yescharacteristic
1345#97C22×D5911yescharacteristic
1346#97C22×D5911yescharacteristic
1347#97C22×D5911yescharacteristic
1348#97C22×D5911yescharacteristic
1349#97C22×D5911yescharacteristic
1350#97C22×D5911yescharacteristic
1351C4×C8C22×D5911yescharacteristic
1352C4×C8C22×D5911yescharacteristic
1353C24—1181no—
1354C24—1181no—
1355C24—1181no—
1356#41—42no—
1357#41—1182no—
1358#41—1182no—
1359#41—1182no—
1360#41—4722no—
1361#41—2361no—
1362#41—2361no—
1363#41—2361no—
1364C2×Q8—591no—
1365C2×Q8—591no—
1366C2×Q8—591no—
1367C2×Q8—1181no—
1368C2×Q8—1181no—
1369C2×Q8C2×D23611yescharacteristic
1370C2×D4—591no—
1371C2×D4—591no—
1372C2×D4—591no—
1373C2×D4—591no—
1374C2×D4—591no—
1375C2×D4—1182no—
1376C2×D4—1182no—
1377C2×D4—1182no—
1378C2×D4—1181no—
1379C2×D4—1181no—
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—2361no—
1393C2×D4—2361no—
1394C2×D4—2361no—
1395C2×D4—2364no—
1396C2×D4C2×D23611yescharacteristic
1397C2×D4C2×D23611yescharacteristic
1398C2×D4C2×D23611yescharacteristic
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—1181no—
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—4722no—
1420C22×C4—4722no—
1421C22×C4—2364no—
1422C22×C4C2×D23611yescharacteristic
1423C22×C4C2×D23611yescharacteristic
1424C22×C4C2×D23611yescharacteristic
1425C22×C4C2×D23611yescharacteristic
1426C22×C4C2×D23611yescharacteristic
1427C22×C4C2×D23611yescharacteristic
1428C22×C4C23×D5911yescharacteristic
1429C22×C4C23×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431Q16—1182no—
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—41no—
1449C2×C8—22no—
1450C2×C8—22no—
1451C2×C8—41no—
1452C2×C8—41no—
1453C2×C8C23×D5911yescharacteristic
1454C2×C8C23×D5911yescharacteristic
1455C2×C8C23×D5911yescharacteristic
1456C2×C8C23×D5911yescharacteristic
1457C2×C8C23×D5911yescharacteristic
1458C2×C8C23×D5911yescharacteristic
1459C2×C8C23×D5911yescharacteristic
1460C2×C8C23×D5911yescharacteristic
1461C4⋊C4—591no—
1462C4⋊C4—591no—
1463C4⋊C4—591no—
1464C4⋊C4—591no—
1465C4⋊C4—591no—
1466C4⋊C4—591no—
1467C4⋊C4—591no—
1468C4⋊C4—591no—
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⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4—1181no—
1496C4⋊C4C2×D23611yescharacteristic
1497C4⋊C4C2×D23611yescharacteristic
1498C4⋊C4C2×D23611yescharacteristic
1499C4⋊C4C2×D23611yescharacteristic
1500C4⋊C4C2×D23611yescharacteristic
1501C4⋊C4C2×D23611yescharacteristic
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⋊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⋊C4C2×D23611yescharacteristic
1540C22⋊C4C2×D23611yescharacteristic
1541C22⋊C4C2×D23611yescharacteristic
1542C22⋊C4C2×D23611yescharacteristic
1543C22⋊C4C2×D23611yescharacteristic
1544C22⋊C4C2×D23611yescharacteristic
1545C42—1181no—
1546C42—1181no—
1547C42—1181no—
1548C42—1181no—
1549C42—1181no—
1550C42—1181no—
1551C42—1181no—
1552C42—1181no—
1553C42—1181no—
1554C42C2×D23611yescharacteristic
1555C42C2×D23611yescharacteristic
1556C42C2×D23611yescharacteristic
1557C42C2×D23611yescharacteristic
1558C42C2×D23611yescharacteristic
1559C42C2×D23611yescharacteristic
1560C42C23×D5911yescharacteristic
1561C42C23×D5911yescharacteristic
1562C42C23×D5911yescharacteristic
1563C42C23×D5911yescharacteristic
1564C23—1181no—
1565C23—1181no—
1566C23—1181no—
1567C23—1181no—
1568C23—1181no—
1569C23—4721no—
1570C23—4721no—
1571C23—4721no—
1572C23—2362no—
1573C23—2362no—
1574C23—2362no—
1575C23—2362no—
1576C23—2362no—
1577C23—2362no—
1578C23C22×D23611yescharacteristic
1579C23C22×D23611yescharacteristic
1580C23C22×D23611yescharacteristic
1581Q8—41no—
1582Q8—1181no—
1583Q8—1181no—
1584Q8—1181no—
1585Q8—1181no—
1586Q8—1181no—
1587Q8—1181no—
1588Q8—4721no—
1589Q8—4721no—
1590D4—22no—
1591D4—22no—
1592D4—41no—
1593D4—592no—
1594D4—592no—
1595D4—1181no—
1596D4—1181no—
1597D4—1181no—
1598D4—1181no—
1599D4—1181no—
1600D4—1181no—
1601D4—1181no—
1602D4—1181no—
1603D4—4721no—
1604D4—4721no—
1605D4—4721no—
1606D4—4721no—
1607D4—4721no—
1608D4—2362no—
1609D4—2362no—
1610D4—2362no—
1611D4—2362no—
1612D4—2362no—
1613D4—2362no—
1614D4—2362no—
1615D4—2362no—
1616D4—2362no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—1181no—
1630C2×C4—1181no—
1631C2×C4—1181no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—4721no—
1641C2×C4—4721no—
1642C2×C4—4721no—
1643C2×C4—4721no—
1644C2×C4—4721no—
1645C2×C4—4721no—
1646C2×C4—4721no—
1647C2×C4—4721no—
1648C2×C4—2362no—
1649C2×C4—2362no—
1650C2×C4—2362no—
1651C2×C4—2362no—
1652C2×C4—2362no—
1653C2×C4—2362no—
1654C2×C4—2362no—
1655C2×C4—2362no—
1656C2×C4—2362no—
1657C2×C4—2362no—
1658C2×C4—2362no—
1659C2×C4—2362no—
1660C2×C4C22×D23611yescharacteristic
1661C2×C4C22×D23611yescharacteristic
1662C2×C4C22×D23611yescharacteristic
1663C2×C4C22×D23611yescharacteristic
1664C2×C4C22×D23611yescharacteristic
1665C2×C4C22×D23611yescharacteristic
1666C2×C4C22×D23611yescharacteristic
1667C2×C4C22×D23611yescharacteristic
1668C2×C4C22×D23611yescharacteristic
1669C2×C4C22×D23611yescharacteristic
1670C2×C4C22×D23611yescharacteristic
1671C2×C4C24×D5911yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8—21no—
1679C8#41×D5912yes—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—21no—
1688C22—1182no—
1689C22—1182no—
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#1683820212yes—
1707C22C23×D23611yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—21no—
1718C4—21no—
1719C4—2361no—
1720C4—2361no—
1721C4—2361no—
1722C4—2361no—
1723C4—2361no—
1724C4—2361no—
1725C4—2361no—
1726C4—2361no—
1727C4—2361no—
1728C4—2361no—
1729C4—2361no—
1730C4C2×#41×D5911yescharacteristic
1731C4#1683823811yescharacteristic
1732C2—22no—
1733C2—41no—
1734C2—41no—
1735C2—4721no—
1736C2—4721no—
1737C2—4721no—
1738C2—2362no—
1739C2—2362no—
1740C2#41×D23611yescharacteristic
1741C2C2×#1683820211yescharacteristic
1742C2#2143887711yescharacteristic
subgroupG/H
centerC22C23×D236
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#2970C2
socleC22×C59C23×D4
hypercenter#2970D59
hypocenterC59#61454
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×#41 ◁ #2970

Complements

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

NH ≅ G/Ntype
1. #21437706C2semidirect
2. #21437660C2semidirect
3. #21437164C2semidirect
4. #21437056C2semidirect
5. #21436925C2semidirect
6. #21436851C2semidirect
7. #21436598C2semidirect
8. #21436553C2semidirect
9. #21436477C2semidirect
10. #21436254C2semidirect
11. #21436179C2semidirect
12. #21436119C2semidirect
13. #21436074C2semidirect
14. #21435948C2semidirect
15. #21435933C2semidirect
16. #21435783C2semidirect
17. #21435626C2semidirect
18. #21435581C2semidirect
19. #21434825C2semidirect
20. #21434805C2semidirect
21. #21434794C2semidirect
22. #21434248C2semidirect
23. #21434236C2semidirect
24. #21434236C2semidirect
25. #21434207C2semidirect
26. #21434207C2semidirect
27. #21434196C2semidirect
28. C4×#14273755C2semidirect
29. #21432898C2semidirect
30. C2×#16837515C2semidirect
31. C59×#2970C2semidirect
35. #16838137C22semidirect
36. #16838125C22semidirect
37. #16838117C22semidirect
38. #16838112C22semidirect
39. #16838112C22semidirect
43. #16838098C22semidirect
47. #16838092C22semidirect
52. #16838057C22semidirect
55. #16838048C22semidirect
56. #16838048C22semidirect
59. #16837959C22semidirect
60. #16837952C22semidirect
63. #16837936C22semidirect
64. #16837936C22semidirect
65. #16837936C22semidirect
71. C4×#11745685C22semidirect
72. C4×#11745685C22semidirect
73. C4×#11745685C22semidirect
75. C2×C4×D236C22semidirect
76. C2×C4×D236C22semidirect
79. #16837811C22semidirect
80. #16837811C22semidirect
81. #16837804C22semidirect
82. #16837796C22semidirect
84. #16837786C22semidirect
85. #16837771C22semidirect
86. #16837767C22semidirect
87. #16837762C22semidirect
88. #16837762C22semidirect
89. #16837757C22semidirect
90. #16837757C22semidirect
91. #16837744C22semidirect
92. #16837744C22semidirect
93. #16837738C22semidirect
94. #16837738C22semidirect
95. #16837733C22semidirect
96. #16837733C22semidirect
97. #16837727C22semidirect
98. #16837727C22semidirect
99. #16837727C22semidirect
100. #16837727C22semidirect
102. #16837716C22semidirect
103. #16837710C22semidirect
104. #16837710C22semidirect
105. #16837703C22semidirect
106. #16837703C22semidirect
107. #16837703C22semidirect
108. #16837703C22semidirect
109. #16837703C22semidirect
110. #16837703C22semidirect
111. #16837688C22semidirect
112. #16837683C22semidirect
113. #16837683C22semidirect
114. #16837683C22semidirect
115. #16837660C22semidirect
117. #16837648C22semidirect
118. #16837648C22semidirect
119. #16837643C22semidirect
120. #16837643C22semidirect
121. #16837638C22semidirect
122. #16837638C22semidirect
125. #16837631C22semidirect
126. #16837631C22semidirect
127. #16837625C22semidirect
128. #16837625C22semidirect
131. #16837618C22semidirect
132. #16837618C22semidirect
133. #16837618C22semidirect
134. #16837618C22semidirect
135. #16837608C22semidirect
136. #16837608C22semidirect
137. #16837603C22semidirect
139. #16837566C22semidirect
140. #16837566C22semidirect
143. #16837555C22semidirect
144. #16837555C22semidirect
147. #16837549C22semidirect
148. #16837549C22semidirect
156. #16837515C22semidirect
157. #16837515C22semidirect
158. #16837515C22semidirect
159. #16837515C22semidirect
160. #16837515C22semidirect
161. #16837515C22semidirect
162. #16837510C22semidirect
163. #16837510C22semidirect
164. #16837510C22semidirect
165. #16837504C22semidirect
166. #16837504C22semidirect
167. #16837504C22semidirect
168. #16837504C22semidirect
169. #16837504C22semidirect
170. #16837504C22semidirect
171. #16837504C22semidirect
172. #16837504C22semidirect
173. #16837504C22semidirect
174. #16837504C22semidirect
175. C4×#11745660C22semidirect
176. C4×#11745660C22semidirect
178. C4×D472C22semidirect
179. #16837444C22semidirect
180. #16837440C22semidirect
181. C2×#14273659C22semidirect
182. #16837408C22semidirect
183. #16837404C22semidirect
184. #16837399C22semidirect
185. #16837399C22semidirect
187. C2×#14273649C22semidirect
189. C59×#446C22semidirect
190. C59×#446C22semidirect
193. C59×#435C22semidirect
194. C59×#435C22semidirect
195. C8×D4×C59C22semidirect
196. C8×D4×C59C22semidirect
197. C59×#432C22semidirect
198. C59×#432C22semidirect
199. C59×#432C22semidirect
200. C4×M16×C59C22semidirect
201. C2×#97×C59C22semidirect
202. C2×#97×C59C22semidirect
683. D472#41semidirect
888. #2970D59semidirect
1023. #446C2×D59semidirect
1024. #446C2×D59semidirect
1055. #435C2×D59semidirect
1056. #435C2×D59semidirect
1057. C8×D4C2×D59semidirect
1058. C8×D4C2×D59semidirect
1059. #432C2×D59semidirect
1060. #432C2×D59semidirect
1061. #432C2×D59semidirect
1071. C4×M16C2×D59semidirect
1072. C2×#97C2×D59semidirect
1073. C2×#97C2×D59semidirect
1074. C59#61454semidirect

Maximal subgroups

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

subgroupindex
#214377062
#214376602
#214371642
#214370562
#214369252
#214368512
#214365982
#214365532
#214364772
#214362542
#214361792
#214361192
#214360742
#214359482
#214359332
#214357832
#214356262
#214355812
#214348252
#214348052
#214347942
#214342482
#214342362
#214342072
#214341962
C4×#142737552
#214328982
C2×#168375152
C59×#29702
#6145459