Finite Group Databasebeta

← #29470747

Subgroups — #29470747

Order 15104.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437706C211yesmaximal, characteristic, complemented
2#21437689C211yesmaximal, characteristic, complemented
3#21437186C211yesmaximal, characteristic, complemented
4#21437043C211yesmaximal, characteristic, complemented
5#21436866C211yesmaximal, characteristic, complemented
6#21436851C211yesmaximal, characteristic, complemented
7#21436643C211yesmaximal, characteristic, complemented
8#21436583C211yesmaximal, characteristic, complemented
9#21436499C211yesmaximal, characteristic, complemented
10#21436239C211yesmaximal, characteristic, complemented
11#21436209C211yesmaximal, characteristic, complemented
12#21436134C211yesmaximal, characteristic, complemented
13#21436104C211yesmaximal, characteristic, complemented
14#21436000C211yesmaximal, characteristic, complemented
15#21435948C211yesmaximal, characteristic, complemented
16#21435808C211yesmaximal, characteristic, complemented
17#21435641C211yesmaximal, characteristic, complemented
18#21435596C211yesmaximal, characteristic, complemented
19#21434825C211yesmaximal, characteristic, complemented
20#21434794C211yesmaximal, characteristic, complemented
21#21434794C211yesmaximal, characteristic, complemented
22#21434269C211yesmaximal, characteristic, complemented
23#21434248C211yesmaximal, characteristic, complemented
24#21434236C211yesmaximal, characteristic, complemented
25#21434207C211yesmaximal, characteristic, complemented
26#21434207C211yesmaximal, characteristic, complemented
27#21434188C211yesmaximal, characteristic, complemented
28C4×#14273755C211yesmaximal, characteristic, complemented
29#21432898C211yesmaximal, characteristic, complemented
30C2×#16837504C211yesmaximal, characteristic, complemented
31C59×#2970C211yesmaximal, characteristic, complemented
32C2×#14273755C2211yescharacteristic
33C2×#14273749C2211yescharacteristic
34C22×#11745660C2211yescharacteristic
35#16838137C2211yescharacteristic
36#16838137C2211yescharacteristic, complemented
37#16838135—21no—
38#16838130C2211yescharacteristic, complemented
39#16838124—21no—
40#16838122C2211yescharacteristic, complemented
41#16838112C2211yescharacteristic
42#16838109C2211yescharacteristic
43#16838101—21no—
44#16838101—21no—
45#16838098C2211yescharacteristic
46#16838098C2211yescharacteristic
47#16838098C2211yescharacteristic
48#16838098C2211yescharacteristic, complemented
49#16838096—21no—
50#16838076—21no—
51#16838076—21no—
52#16838073C2211yescharacteristic, complemented
53#16838061C2211yescharacteristic
54#16838061C2211yescharacteristic, complemented
55#16838048C2211yescharacteristic
56#16838048C2211yescharacteristic
57#16838040—21no—
58D4×D236C2211yescharacteristic
59#16837952C2211yescharacteristic
60#16837952C2211yescharacteristic, complemented
61#16837948—21no—
62#16837939—21no—
63#16837936C2211yescharacteristic
64#16837936C2211yescharacteristic
65#16837936C2211yescharacteristic, complemented
66#16837936C2211yescharacteristic, complemented
67#16837930—21no—
68#16837930—21no—
69#16837911—21no—
70#16837911—21no—
71C4×#11745685C2211yescharacteristic
72C4×#11745685C2211yescharacteristic, complemented
73C4×#11745685C2211yescharacteristic, complemented
74#16837870—21no—
75C2×C4×Dic118C2211yescharacteristic, complemented
76C2×C4×D236C2211yescharacteristic
77C2×C4×D236C2211yescharacteristic
78C4×D4×D59—21no—
79#16837811C2211yescharacteristic, complemented
80#16837811C2211yescharacteristic, complemented
81#16837804C2211yescharacteristic, complemented
82#16837791C2211yescharacteristic
83#16837791C2211yescharacteristic, complemented
84#16837786C2211yescharacteristic, complemented
85#16837767C2211yescharacteristic
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#16837733C2211yescharacteristic, complemented
95#16837727C2211yescharacteristic
96#16837727C2211yescharacteristic, complemented
97#16837727C2211yescharacteristic, complemented
98#16837727C2211yescharacteristic, complemented
99#16837721C2211yescharacteristic
100#16837721C2211yescharacteristic, complemented
101#16837721C2211yescharacteristic, complemented
102#16837716C2211yescharacteristic, complemented
103#16837710C2211yescharacteristic, complemented
104#16837710C2211yescharacteristic, complemented
105#16837710C2211yescharacteristic, complemented
106#16837710C2211yescharacteristic, complemented
107#16837703C2211yescharacteristic
108#16837703C2211yescharacteristic
109#16837703C2211yescharacteristic, complemented
110#16837703C2211yescharacteristic, complemented
111#16837693C2211yescharacteristic
112#16837693C2211yescharacteristic, complemented
113#16837688C2211yescharacteristic, complemented
114#16837683C2211yescharacteristic, complemented
115#16837660C2211yescharacteristic, complemented
116#16837655C2211yescharacteristic
117#16837648C2211yescharacteristic
118#16837648C2211yescharacteristic, complemented
119#16837638C2211yescharacteristic
120#16837638C2211yescharacteristic
121#16837638C2211yescharacteristic, complemented
122#16837638C2211yescharacteristic, complemented
123#16837631C2211yescharacteristic, complemented
124#16837631C2211yescharacteristic, complemented
125#16837631C2211yescharacteristic, complemented
126#16837631C2211yescharacteristic, complemented
127#16837625C2211yescharacteristic, complemented
128#16837625C2211yescharacteristic, complemented
129#16837625C2211yescharacteristic, complemented
130#16837625C2211yescharacteristic, complemented
131#16837618C2211yescharacteristic
132#16837618C2211yescharacteristic
133#16837618C2211yescharacteristic, complemented
134#16837618C2211yescharacteristic, complemented
135#16837603C2211yescharacteristic
136#16837598C2211yescharacteristic
137#16837598C2211yescharacteristic
138#16837598C2211yescharacteristic, complemented
139#16837566C2211yescharacteristic
140#16837566C2211yescharacteristic, complemented
141#16837560C2211yescharacteristic, complemented
142#16837555C2211yescharacteristic
143#16837549C2211yescharacteristic
144#16837549C2211yescharacteristic
145#16837549C2211yescharacteristic, complemented
146#16837549C2211yescharacteristic, complemented
147#16837543C2211yescharacteristic
148#16837538C2211yescharacteristic
149#16837538C2211yescharacteristic
150#16837538C2211yescharacteristic
151#16837515C2211yescharacteristic
152#16837515C2211yescharacteristic
153#16837515C2211yescharacteristic
154#16837515C2211yescharacteristic, complemented
155#16837515C2211yescharacteristic, complemented
156#16837515C2211yescharacteristic, complemented
157#16837515C2211yescharacteristic, complemented
158#16837510C2211yescharacteristic, complemented
159#16837510C2211yescharacteristic, complemented
160#16837510C2211yescharacteristic, complemented
161#16837504C2211yescharacteristic
162#16837504C2211yescharacteristic
163#16837504C2211yescharacteristic
164#16837504C2211yescharacteristic
165#16837504C2211yescharacteristic
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
176C4×#11745660C2211yescharacteristic, complemented
177C4×D472C2211yescharacteristic
178C4×D472C2211yescharacteristic, complemented
179#16837444C2211yescharacteristic, complemented
180#16837440C2211yescharacteristic, complemented
181C2×#14273661C2211yescharacteristic, complemented
182#16837408C2211yescharacteristic
183#16837404C2211yescharacteristic, complemented
184#16837399C2211yescharacteristic
185#16837399C2211yescharacteristic, complemented
186C2×#14273652C2211yescharacteristic, complemented
187C2×#14273649C2211yescharacteristic
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×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C22×Dic118C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C2×D4×D59—21no—
212C22×C4×D59—21no—
213C22×C4×D59—21no—
214#14273755—24no—
215#14273749—24no—
216C2×Dic236C2311yescharacteristic
217C2×Dic236C2311yescharacteristic
218C2×#11745660—24no—
219C2×#11745660C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×D472C2311yescharacteristic
228C2×D472C2311yescharacteristic
229C2×D472C2311yescharacteristic
230C2×D472C2311yescharacteristic
231C2×D472C2311yescharacteristic
232C2×D472C2311yescharacteristic
233#14273727C2311yescharacteristic
234#14273727C2311yescharacteristic
235#14273725—21no—
236#14273724C2311yescharacteristic
237#14273724C2311yescharacteristic
238#14273723—21no—
239#14273722—21no—
240#14273722—21no—
241#14273722—21no—
242#14273722—21no—
243#14273721—21no—
244#14273721—21no—
245#14273721—21no—
246#14273721—21no—
247#14273720—21no—
248#14273720—21no—
249#14273719C2311yescharacteristic
250#14273719C2311yescharacteristic
251#14273719C2311yescharacteristic
252#14273719C2311yescharacteristic
253#14273718—21no—
254#14273717—21no—
255#14273717—21no—
256#14273716—21no—
257#14273716—21no—
258#14273715—21no—
259#14273715—21no—
260#14273715C2311yescharacteristic
261#14273715C2311yescharacteristic
262#14273715C2311yescharacteristic
263#14273715C2311yescharacteristic
264#14273714—21no—
265#14273713—21no—
266#14273713—21no—
267#14273712—21no—
268#14273712—21no—
269#14273712—21no—
270#14273712—21no—
271#14273712—21no—
272#14273712—21no—
273#14273710—21no—
274#14273710—21no—
275#14273710—21no—
276#14273710—21no—
277#14273709—21no—
278#14273709—21no—
279#14273709—21no—
280#14273709—21no—
281#14273706C2311yescharacteristic
282#14273706C2311yescharacteristic
283#14273706C2311yescharacteristic
284#14273706C2311yescharacteristic
285#14273705—21no—
286#14273705—21no—
287#14273705—21no—
288#14273705—21no—
289#14273704—21no—
290#14273704—21no—
291#14273703—21no—
292#14273702—21no—
293#14273701—21no—
294#14273701—21no—
295#14273701C2311yescharacteristic
296#14273701C2311yescharacteristic
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#14273699—21no—
310#14273699—21no—
311#14273699—21no—
312#14273699—21no—
313#14273697—21no—
314#14273697—21no—
315#14273695—21no—
316#14273695—21no—
317C4×Dic118—21no—
318C4×Dic118—21no—
319C4×Dic118C2311yescharacteristic
320C4×Dic118C2311yescharacteristic
321C4×Dic118C2311yescharacteristic
322C4×Dic118C2311yescharacteristic
323C4×Dic118C2311yescharacteristic
324C4×Dic118C2311yescharacteristic
325C4×Dic118C2311yescharacteristic
326C4×Dic118C2311yescharacteristic
327#14273692—21no—
328#14273692—21no—
329C4×D236—21no—
330C4×D236—21no—
331C4×D236—21no—
332C4×D236—21no—
333C4×D236—21no—
334C4×D236—21no—
335C4×D236C2311yescharacteristic
336C4×D236C2311yescharacteristic
337C4×D236C2311yescharacteristic
338C4×D236C2311yescharacteristic
339C4×D236C2311yescharacteristic
340C4×D236C2311yescharacteristic
341C4×D236C2311yescharacteristic
342C4×D236C2311yescharacteristic
343C4×D236C2311yescharacteristic
344C4×D236C2311yescharacteristic
345C4×D236C2311yescharacteristic
346C4×D236C2311yescharacteristic
347D4×Dic59—21no—
348#14273689—21no—
349#14273689—21no—
350#14273689—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—
357C4×C22⋊D59—21no—
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4—21no—
367#14273686C2311yescharacteristic
368#14273686C2311yescharacteristic
369#14273686C2311yescharacteristic
370#14273684—21no—
371#14273684—21no—
372#14273684—21no—
373#14273684—21no—
374#14273684—21no—
375#14273684—21no—
376#14273684—21no—
377C2×C4⋊Dic59C2311yescharacteristic
378C2×C4⋊Dic59C2311yescharacteristic
379C2×C4⋊Dic59C2311yescharacteristic
380C2×Dic59⋊C4—21no—
381C4⋊C4×D59—21no—
382C2×(C2×D59)⋊C4—21no—
383C2×(C2×D59)⋊C4—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C2×C4×Dic59—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—
483#41×C59—42no—
484C2×Q8×C59C2×D411yescharacteristic
485C2×D4×C59C2×D411yescharacteristic
486C2×D4×C59C2×D411yescharacteristic
487C2×D4×C59C2×D411yescharacteristic
488C22×C4×C59C2×D411yescharacteristic
489C22×C4×C59C2×D411yescharacteristic
490C22×C4×C59C2×D411yescharacteristic
491C22×C4×C59C2×D411yescharacteristic
492C22×C4×C59C2×D411yescharacteristic
493C22×C4×C59C2×D411yescharacteristic
494C22×C4×C59C2411yescharacteristic
495C22×C4×C59C2411yescharacteristic
496C22×C4×C59C2411yescharacteristic
497C2×C22⋊D59—21no—
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—
507C2×C22⋊D59—21no—
508C22×Dic59—21no—
509C22×Dic59—21no—
510C22×Dic59—21no—
511C22×Dic59—21no—
512D4×D59—44no—
513#11745685—22no—
514#11745685—22no—
515#11745685—22no—
516#11745685—41no—
517#11745685—41no—
518#11745685—41no—
519#11745685—44no—
520#11745685—82no—
521C2×D236—22no—
522C2×D236—22no—
523C2×D236—21no—
524C2×D236—21no—
525C2×D236—21no—
526C2×D236—21no—
527C2×D236—21no—
528C2×D236—21no—
529C2×D236—41no—
530C2×D236—41no—
531C2×D236C2411yescharacteristic
532C2×D236C2411yescharacteristic
533C2×D236C2411yescharacteristic
534C2×D236C2411yescharacteristic
535C2×D236C2411yescharacteristic
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—82no—
552C2×C4×D59—82no—
553C2×Dic118—22no—
554C2×Dic118—21no—
555C2×Dic118—21no—
556C2×Dic118—21no—
557C2×Dic118—41no—
558C2×Dic118C2411yescharacteristic
559C2×Dic118C2411yescharacteristic
560C2×Dic118C2411yescharacteristic
561M16×C59—22no—
562M16×C59—41no—
563C2×C8×C59—22no—
564C2×C8×C59—22no—
565C2×C8×C59—41no—
566C2×C8×C59—41no—
567C2×C8×C59C2411yescharacteristic
568C2×C8×C59C2411yescharacteristic
569C2×C8×C59C2411yescharacteristic
570C2×C8×C59C2411yescharacteristic
571C2×C8×C59C2411yescharacteristic
572C2×C8×C59C2411yescharacteristic
573C2×C8×C59C2411yescharacteristic
574C2×C8×C59C2411yescharacteristic
575C4⋊C4×C59C2×D411yescharacteristic
576C4⋊C4×C59C2×D411yescharacteristic
577C4⋊C4×C59C2×D411yescharacteristic
578C4⋊C4×C59C2×D411yescharacteristic
579C4⋊C4×C59C2×D411yescharacteristic
580C4⋊C4×C59C2×D411yescharacteristic
581C22⋊C4×C59C2×D411yescharacteristic
582C22⋊C4×C59C2×D411yescharacteristic
583C22⋊C4×C59C2×D411yescharacteristic
584C22⋊C4×C59C2×D411yescharacteristic
585C22⋊C4×C59C2×D411yescharacteristic
586C22⋊C4×C59C2×D411yescharacteristic
587C42×C59C2×D411yescharacteristic
588C42×C59C2×D411yescharacteristic
589C42×C59C2×D411yescharacteristic
590C42×C59C2×D411yescharacteristic
591C42×C59C2×D411yescharacteristic
592C42×C59C2×D411yescharacteristic
593C42×C59C2411yescharacteristic
594C42×C59C2411yescharacteristic
595C42×C59C2411yescharacteristic
596C42×C59C2411yescharacteristic
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⋊Dic59C2411yescharacteristic
638C4⋊Dic59C2411yescharacteristic
639C4⋊Dic59C2411yescharacteristic
640C4⋊Dic59C2411yescharacteristic
641C4⋊Dic59C2411yescharacteristic
642C4⋊Dic59C2411yescharacteristic
643C4⋊Dic59C2411yescharacteristic
644C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—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×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59—21no—
676Dic236—22no—
677Dic236—41no—
678D472—22no—
679D472—22no—
680D472—22no—
681D472—41no—
682D472—41no—
683D472—41no—
684#11745660—22no—
685#11745660—22no—
686#11745660—22no—
687#11745660—22no—
688#11745660—22no—
689#11745660—41no—
690#11745660—41no—
691#11745660#4114yescomplemented
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—81no—
705C22×D59—81no—
706Q8×C59—41no—
707D4×C59—22no—
708D4×C59—22no—
709D4×C59—41no—
710C2×C4×C59—22no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—41no—
718C2×C4×C59—41no—
719C2×C4×C59—41no—
720C2×C4×C59—41no—
721C2×C4×C59—41no—
722C2×C4×C59C22×D411yescharacteristic
723C2×C4×C59C22×D411yescharacteristic
724C2×C4×C59C22×D411yescharacteristic
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×C59C2511yescharacteristic
734C22⋊D59—42no—
735C22⋊D59—42no—
736C22⋊D59—42no—
737C22⋊D59—42no—
738C22⋊D59—42no—
739C22⋊D59—42no—
740C22⋊D59—42no—
741C22⋊D59—81no—
742C22⋊D59—81no—
743C22⋊D59—81no—
744C22⋊D59—81no—
745C2×Dic59—21no—
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—42no—
757C2×Dic59—81no—
758C2×Dic59—81no—
759C2×Dic59—81no—
760D236—21no—
761D236—21no—
762D236—21no—
763D236—21no—
764D236—21no—
765D236—21no—
766D236—21no—
767D236—21no—
768D236—21no—
769D236—42no—
770D236—42no—
771D236—42no—
772D236—42no—
773D236—81no—
774D236—81no—
775D236C2×#4112yes—
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—81no—
786C4×D59—81no—
787C4×D59—81no—
788C4×D59—81no—
789C4×D59—81no—
790C4×D59—81no—
791Dic118—21no—
792Dic118—21no—
793Dic118—21no—
794Dic118—21no—
795Dic118—21no—
796Dic118—42no—
797Dic118—42no—
798Dic118—81no—
799Dic118C2×#4112yes—
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#61456—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—41no—
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—
836C4×C59—21no—
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×C59C22×#4111yescharacteristic
848C4×C59#58511yescharacteristic
849Dic59—22no—
850Dic59—41no—
851Dic59—41no—
852Dic59—41no—
853Dic59—41no—
854Dic59—41no—
855Dic59—41no—
856Dic59—41no—
857Dic59—41no—
858Dic59—41no—
859Dic59—41no—
860#3481—591no—
861#3480—591no—
862#3403—591no—
863#3388—591no—
864#3371—591no—
865#3370—591no—
866#3350—591no—
867#3346—591no—
868#3339—591no—
869#3318—591no—
870#3316—591no—
871#3311—591no—
872#3309—591no—
873#3301—591no—
874#3297—591no—
875#3282—591no—
876#3268—591no—
877#3265—591no—
878#3183—591no—
879#3180—591no—
880#3180—591no—
881#3117—591no—
882#3115—591no—
883#3114—591no—
884#3111—591no—
885#3111—591no—
886#3109—591no—
887#2970D5911yescharacteristic, complemented
888C4×AGL(1,ℤ/8)—591no—
889#2943—591no—
890C2×#440—591no—
891C2×C59—22no—
892C2×C59—41no—
893C2×C59—41no—
894C2×C59D4×#4111yescharacteristic
895C2×C59C2×#57511yescharacteristic
896C2×C59#358511yescharacteristic
897D59—42no—
898D59—81no—
899D59—81no—
900D59—81no—
901D59—81no—
902C2×AGL(1,ℤ/8)—591no—
903C2×#135—591no—
904C22×SD16—591no—
905#559—591no—
906#559—591no—
907#559—1181no—
908#557—591no—
909#556—591no—
910#556—1181no—
911#554—591no—
912#554—591no—
913#553—591no—
914#553—591no—
915#553—591no—
916#553—591no—
917#553—1181no—
918#553—1181no—
919#553—1181no—
920#551—1181no—
921#551—1181no—
922#550—591no—
923#548—591no—
924#548—591no—
925#546—591no—
926#546—591no—
927#546—1181no—
928D42—591no—
929#532—591no—
930#532—591no—
931#532—1181no—
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—
941C4×#41—591no—
942C4×#41—591no—
943C4×#41—591no—
944C4×#41—1181no—
945C4×#41C2×D5911yescharacteristic
946C2×C4×Q8—591no—
947C2×C4×D4—591no—
948C2×C4×D4—591no—
949C2×C4×D4—1181no—
950#501—591no—
951#501—591no—
952#499—591no—
953#496—591no—
954#496—591no—
955#495—591no—
956#490—591no—
957#490—591no—
958#489—591no—
959#489—591no—
960#488—591no—
961#488—591no—
962#485—591no—
963#485—591no—
964#484—591no—
965#483—591no—
966#482—591no—
967#482—591no—
968#482—591no—
969#482—591no—
970#481—591no—
971#481—591no—
972#481—591no—
973#480—591no—
974#479—591no—
975#479—591no—
976#479—591no—
977#479—591no—
978#478—591no—
979#478—591no—
980#478—591no—
981#478—591no—
982#476—591no—
983#476—591no—
984#475—591no—
985#474—591no—
986#470—591no—
987#469—591no—
988#468—591no—
989#468—591no—
990#466—591no—
991#466—591no—
992#466—591no—
993#466—591no—
994#465—591no—
995#465—591no—
996#465—591no—
997#465—591no—
998#464—591no—
999#464—591no—
1000#464—591no—
1001#464—591no—
1002#463—591no—
1003#463—591no—
1004#463—591no—
1005#463—591no—
1006#460—591no—
1007#459—591no—
1008#459—591no—
1009#459—591no—
1010#452—591no—
1011#452—591no—
1012#451—591no—
1013#450—591no—
1014#449—591no—
1015#449—591no—
1016#449—591no—
1017#449—591no—
1018#448—591no—
1019#447—591no—
1020#447—591no—
1021#447—591no—
1022#446C2×D5911yescharacteristic, complemented
1023#446C2×D5911yescharacteristic, complemented
1024#442—591no—
1025#442—591no—
1026#442—591no—
1027#442—591no—
1028#442—591no—
1029#442—591no—
1030#442—591no—
1031#441—591no—
1032#441—591no—
1033#441—591no—
1034#440—591no—
1035#440—591no—
1036#440—591no—
1037#440—591no—
1038#440—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—
1048C4×SD16—591no—
1049C4×SD16—591no—
1050C4×D8—591no—
1051C4×D8—591no—
1052#435C2×D5911yescharacteristic
1053#435C2×D5911yescharacteristic
1054#435C2×D5911yescharacteristic, complemented
1055#435C2×D5911yescharacteristic, complemented
1056C8×D4C2×D5911yescharacteristic, complemented
1057C8×D4C2×D5911yescharacteristic, complemented
1058#432C2×D5911yescharacteristic, complemented
1059#432C2×D5911yescharacteristic, complemented
1060#432C2×D5911yescharacteristic, complemented
1061#428—591no—
1062#427—591no—
1063C2×#107—591no—
1064#418—591no—
1065#417—591no—
1066#416—591no—
1067#416—591no—
1068C2×#103—591no—
1069C2×#102—591no—
1070C4×M16C2×D5911yescharacteristic, complemented
1071C2×#97C2×D5911yescharacteristic, complemented
1072C2×#97C2×D5911yescharacteristic, complemented
1073C59#6145611yescharacteristic, complemented, Sylow
1074C2×#41—591no—
1075C2×#41—591no—
1076C2×#41—591no—
1077C2×#41—1181no—
1078C2×#41—1181no—
1079C2×#41D23611yescharacteristic
1080C22×Q8—591no—
1081C22×D4—591no—
1082C22×D4—591no—
1083C22×D4—1181no—
1084C23×C4—1181no—
1085C23×C4—1181no—
1086AGL(1,ℤ/8)—1184no—
1087#135—1184no—
1088C2×Q16—591no—
1089C2×Q16—591no—
1090C2×SD16—591no—
1091C2×SD16—591no—
1092C2×SD16—591no—
1093C2×SD16—591no—
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16—591no—
1097C2×SD16—591no—
1098C2×SD16—1184no—
1099C2×D8—591no—
1100C2×D8—591no—
1101C2×D8—591no—
1102C2×D8—591no—
1103C2×D8—591no—
1104C2×D8—591no—
1105C2×M16C22×D5911yescharacteristic
1106C2×M16C22×D5911yescharacteristic
1107C22×C8C22×D5911yescharacteristic
1108C22×C8C22×D5911yescharacteristic
1109C22×C8C22×D5911yescharacteristic
1110C22×C8C22×D5911yescharacteristic
1111C4⋊Q8—591no—
1112C4⋊Q8—591no—
1113C4⋊Q8—1181no—
1114#127—591no—
1115#127—591no—
1116#127—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#126—1181no—
1127#125—591no—
1128#125—591no—
1129#125—591no—
1130#125—591no—
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#124—1181no—
1143#124—1181no—
1144#124—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—
1158#123—1181no—
1159C22⋊Q8—591no—
1160C22⋊Q8—591no—
1161C22⋊Q8—591no—
1162C22⋊Q8—591no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8—1181no—
1169C22⋊Q8—1181no—
1170#121—591no—
1171#121—591no—
1172#121—591no—
1173#121—591no—
1174#121—591no—
1175#121—591no—
1176#121—591no—
1177#121—591no—
1178#121—1181no—
1179#121—1181no—
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#121—1181no—
1191#120—1181no—
1192#120—1181no—
1193#120—1181no—
1194#120—1181no—
1195C4×Q8—591no—
1196C4×Q8—591no—
1197C4×Q8—591no—
1198C4×Q8—591no—
1199C4×Q8—591no—
1200C4×Q8—591no—
1201C4×Q8—591no—
1202C4×Q8—591no—
1203C4×Q8—1181no—
1204C4×Q8—1181no—
1205C4×Q8—1181no—
1206C4×Q8—1181no—
1207C4×Q8D23611yescharacteristic
1208C4×Q8C22×D5911yescharacteristic
1209C4×D4—591no—
1210C4×D4—591no—
1211C4×D4—591no—
1212C4×D4—591no—
1213C4×D4—591no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—591no—
1221C4×D4—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×D4—1181no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4—1181no—
1244C4×D4—1181no—
1245C4×D4—1181no—
1246C4×D4—1181no—
1247C4×D4D23611yescharacteristic
1248C4×D4D23611yescharacteristic
1249C4×D4D23611yescharacteristic
1250C4×D4C22×D5911yescharacteristic
1251C4×D4C22×D5911yescharacteristic
1252C4×D4C22×D5911yescharacteristic
1253#117—591no—
1254#117—591no—
1255#117—591no—
1256#117—1181no—
1257#117—1181no—
1258#117—1181no—
1259#117—1181no—
1260#117—1181no—
1261#117—1181no—
1262#117—1181no—
1263#117D23611yescharacteristic
1264#117D23611yescharacteristic
1265#117D23611yescharacteristic
1266C2×C4⋊C4—591no—
1267C2×C4⋊C4—591no—
1268C2×C4⋊C4—591no—
1269C2×C4⋊C4—1181no—
1270C2×C4⋊C4—1181no—
1271C2×C22⋊C4—1181no—
1272C2×C22⋊C4—1181no—
1273C2×C22⋊C4—1181no—
1274C2×C22⋊C4—1181no—
1275C2×C42—1181no—
1276C2×C42—1181no—
1277C2×C42—1181no—
1278C2×C42—1181no—
1279C2×C42C22×D5911yescharacteristic
1280C2×C42C22×D5911yescharacteristic
1281C2×C42C22×D5911yescharacteristic
1282#107—591no—
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107—591no—
1288#107—591no—
1289#107—591no—
1290#106—591no—
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106—591no—
1295#106—591no—
1296#106—591no—
1297#106—591no—
1298C4⋊C8C22×D5911yescharacteristic
1299C4⋊C8C22×D5911yescharacteristic
1300C4⋊C8C22×D5911yescharacteristic
1301C4⋊C8C22×D5911yescharacteristic
1302C4⋊C8C22×D5911yescharacteristic
1303C4⋊C8C22×D5911yescharacteristic
1304#103—591no—
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#102—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—
1336C22⋊C8C22×D5911yescharacteristic
1337C22⋊C8C22×D5911yescharacteristic
1338C22⋊C8C22×D5911yescharacteristic
1339C22⋊C8C22×D5911yescharacteristic
1340C22⋊C8C22×D5911yescharacteristic
1341C22⋊C8C22×D5911yescharacteristic
1342#97C22×D5911yescharacteristic
1343#97C22×D5911yescharacteristic
1344#97C22×D5911yescharacteristic
1345#97C22×D5911yescharacteristic
1346#97C22×D5911yescharacteristic
1347#97C22×D5911yescharacteristic
1348#97C22×D5911yescharacteristic
1349#97C22×D5911yescharacteristic
1350C4×C8C22×D5911yescharacteristic
1351C4×C8C22×D5911yescharacteristic
1352C24—1181no—
1353C24—1181no—
1354#41—42no—
1355#41—1182no—
1356#41—1182no—
1357#41—1182no—
1358#41—4722no—
1359#41—2361no—
1360#41—2361no—
1361#41—2361no—
1362#41—2364no—
1363C2×Q8—591no—
1364C2×Q8—591no—
1365C2×Q8—591no—
1366C2×Q8—1182no—
1367C2×Q8—1181no—
1368C2×Q8—1181no—
1369C2×Q8—1181no—
1370C2×Q8—2361no—
1371C2×Q8C2×D23611yescharacteristic
1372C2×D4—591no—
1373C2×D4—591no—
1374C2×D4—591no—
1375C2×D4—591no—
1376C2×D4—591no—
1377C2×D4—1182no—
1378C2×D4—1182no—
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—1181no—
1393C2×D4—1181no—
1394C2×D4—1181no—
1395C2×D4—1181no—
1396C2×D4—2361no—
1397C2×D4—2361no—
1398C2×D4—2364no—
1399C2×D4C2×D23611yescharacteristic
1400C2×D4C2×D23611yescharacteristic
1401C2×D4C2×D23611yescharacteristic
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—1181no—
1420C22×C4—1181no—
1421C22×C4—4722no—
1422C22×C4—4722no—
1423C22×C4C2×D23611yescharacteristic
1424C22×C4C2×D23611yescharacteristic
1425C22×C4C2×D23611yescharacteristic
1426C22×C4C2×D23611yescharacteristic
1427C22×C4C2×D23611yescharacteristic
1428C22×C4C2×D23611yescharacteristic
1429C22×C4C23×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431C22×C4C23×D5911yescharacteristic
1432Q16—1182no—
1433Q16—2361no—
1434SD16—594no—
1435SD16—1182no—
1436SD16—1182no—
1437SD16—1182no—
1438SD16—1182no—
1439SD16—1182no—
1440SD16—2361no—
1441SD16—2361no—
1442D8—1182no—
1443D8—1182no—
1444D8—1182no—
1445D8—2361no—
1446D8—2361no—
1447D8—2361no—
1448M16—22no—
1449M16—41no—
1450C2×C8—22no—
1451C2×C8—22no—
1452C2×C8—41no—
1453C2×C8—41no—
1454C2×C8C23×D5911yescharacteristic
1455C2×C8C23×D5911yescharacteristic
1456C2×C8C23×D5911yescharacteristic
1457C2×C8C23×D5911yescharacteristic
1458C2×C8C23×D5911yescharacteristic
1459C2×C8C23×D5911yescharacteristic
1460C2×C8C23×D5911yescharacteristic
1461C2×C8C23×D5911yescharacteristic
1462C4⋊C4—591no—
1463C4⋊C4—591no—
1464C4⋊C4—591no—
1465C4⋊C4—591no—
1466C4⋊C4—591no—
1467C4⋊C4—591no—
1468C4⋊C4—591no—
1469C4⋊C4—591no—
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⋊C4C2×D23611yescharacteristic
1496C4⋊C4C2×D23611yescharacteristic
1497C4⋊C4C2×D23611yescharacteristic
1498C4⋊C4C2×D23611yescharacteristic
1499C4⋊C4C2×D23611yescharacteristic
1500C4⋊C4C2×D23611yescharacteristic
1501C22⋊C4—1181no—
1502C22⋊C4—1181no—
1503C22⋊C4—1181no—
1504C22⋊C4—1181no—
1505C22⋊C4—1181no—
1506C22⋊C4—1181no—
1507C22⋊C4—1181no—
1508C22⋊C4—1181no—
1509C22⋊C4—1181no—
1510C22⋊C4—1181no—
1511C22⋊C4—1181no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
1514C22⋊C4—1181no—
1515C22⋊C4—1181no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊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⋊C4C2×D23611yescharacteristic
1537C22⋊C4C2×D23611yescharacteristic
1538C22⋊C4C2×D23611yescharacteristic
1539C22⋊C4C2×D23611yescharacteristic
1540C22⋊C4C2×D23611yescharacteristic
1541C22⋊C4C2×D23611yescharacteristic
1542C42—1181no—
1543C42—1181no—
1544C42—1181no—
1545C42—1181no—
1546C42—1181no—
1547C42—1181no—
1548C42—1181no—
1549C42—1181no—
1550C42—1181no—
1551C42—1181no—
1552C42—1181no—
1553C42C2×D23611yescharacteristic
1554C42C2×D23611yescharacteristic
1555C42C2×D23611yescharacteristic
1556C42C2×D23611yescharacteristic
1557C42C2×D23611yescharacteristic
1558C42C2×D23611yescharacteristic
1559C42C23×D5911yescharacteristic
1560C42C23×D5911yescharacteristic
1561C42C23×D5911yescharacteristic
1562C42C23×D5911yescharacteristic
1563C23—1181no—
1564C23—1181no—
1565C23—1181no—
1566C23—1181no—
1567C23—1181no—
1568C23—4721no—
1569C23—4721no—
1570C23—2362no—
1571C23—2362no—
1572C23—2362no—
1573C23—2362no—
1574C23C22×D23611yescharacteristic
1575C23C22×D23611yescharacteristic
1576C23C22×D23611yescharacteristic
1577Q8—41no—
1578Q8—592no—
1579Q8—1181no—
1580Q8—1181no—
1581Q8—1181no—
1582Q8—1181no—
1583Q8—1181no—
1584Q8—4721no—
1585Q8—2362no—
1586Q8—2362no—
1587D4—22no—
1588D4—22no—
1589D4—41no—
1590D4—592no—
1591D4—1181no—
1592D4—1181no—
1593D4—1181no—
1594D4—1181no—
1595D4—1181no—
1596D4—1181no—
1597D4—1181no—
1598D4—1181no—
1599D4—1181no—
1600D4—4721no—
1601D4—4721no—
1602D4—4721no—
1603D4—4721no—
1604D4—4721no—
1605D4—4721no—
1606D4—2362no—
1607D4—2362no—
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—4721no—
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×C4C22×D23611yescharacteristic
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×C4C24×D5911yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8#41×D5912yes—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—1182no—
1688C22—4724no—
1689C22—4724no—
1690C22—2361no—
1691C22—2361no—
1692C22—2361no—
1693C22—2361no—
1694C22—2361no—
1695C22—2361no—
1696C22—2361no—
1697C22—2361no—
1698C22—2361no—
1699C22—2361no—
1700C22—2361no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22#1683820212yes—
1705C22C23×D23611yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—1182no—
1718C4—2361no—
1719C4—2361no—
1720C4—2361no—
1721C4—2361no—
1722C4—2361no—
1723C4—2361no—
1724C4—2361no—
1725C4—2361no—
1726C4—2361no—
1727C4—2361no—
1728C4C2×#41×D5911yescharacteristic
1729C4#1683823811yescharacteristic
1730C2—22no—
1731C2—41no—
1732C2—41no—
1733C2—4721no—
1734C2—4721no—
1735C2—4721no—
1736C2—4721no—
1737C2—2362no—
1738C2#41×D23611yescharacteristic
1739C2C2×#1683820211yescharacteristic
1740C2#2143887711yescharacteristic
subgroupG/H
centerC22C23×D236
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#2970C2
socleC22×C59C23×D4
hypercenter#2970D59
hypocenterC59#61456
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. #21437689C2semidirect
3. #21437186C2semidirect
4. #21437043C2semidirect
5. #21436866C2semidirect
6. #21436851C2semidirect
7. #21436643C2semidirect
8. #21436583C2semidirect
9. #21436499C2semidirect
10. #21436239C2semidirect
11. #21436209C2semidirect
12. #21436134C2semidirect
13. #21436104C2semidirect
14. #21436000C2semidirect
15. #21435948C2semidirect
16. #21435808C2semidirect
17. #21435641C2semidirect
18. #21435596C2semidirect
19. #21434825C2semidirect
20. #21434794C2semidirect
21. #21434794C2semidirect
22. #21434269C2semidirect
23. #21434248C2semidirect
24. #21434236C2semidirect
25. #21434207C2semidirect
26. #21434207C2semidirect
27. #21434188C2semidirect
28. C4×#14273755C2semidirect
29. #21432898C2semidirect
30. C2×#16837504C2semidirect
31. C59×#2970C2semidirect
36. #16838137C22semidirect
38. #16838130C22semidirect
40. #16838122C22semidirect
48. #16838098C22semidirect
52. #16838073C22semidirect
54. #16838061C22semidirect
60. #16837952C22semidirect
65. #16837936C22semidirect
66. #16837936C22semidirect
72. C4×#11745685C22semidirect
73. C4×#11745685C22semidirect
75. C2×C4×Dic118C22semidirect
79. #16837811C22semidirect
80. #16837811C22semidirect
81. #16837804C22semidirect
83. #16837791C22semidirect
84. #16837786C22semidirect
86. #16837767C22semidirect
87. #16837762C22semidirect
88. #16837762C22semidirect
89. #16837757C22semidirect
90. #16837757C22semidirect
91. #16837744C22semidirect
92. #16837744C22semidirect
93. #16837738C22semidirect
94. #16837733C22semidirect
96. #16837727C22semidirect
97. #16837727C22semidirect
98. #16837727C22semidirect
100. #16837721C22semidirect
101. #16837721C22semidirect
102. #16837716C22semidirect
103. #16837710C22semidirect
104. #16837710C22semidirect
105. #16837710C22semidirect
106. #16837710C22semidirect
109. #16837703C22semidirect
110. #16837703C22semidirect
112. #16837693C22semidirect
113. #16837688C22semidirect
114. #16837683C22semidirect
115. #16837660C22semidirect
118. #16837648C22semidirect
121. #16837638C22semidirect
122. #16837638C22semidirect
123. #16837631C22semidirect
124. #16837631C22semidirect
125. #16837631C22semidirect
126. #16837631C22semidirect
127. #16837625C22semidirect
128. #16837625C22semidirect
129. #16837625C22semidirect
130. #16837625C22semidirect
133. #16837618C22semidirect
134. #16837618C22semidirect
138. #16837598C22semidirect
140. #16837566C22semidirect
141. #16837560C22semidirect
145. #16837549C22semidirect
146. #16837549C22semidirect
154. #16837515C22semidirect
155. #16837515C22semidirect
156. #16837515C22semidirect
157. #16837515C22semidirect
158. #16837510C22semidirect
159. #16837510C22semidirect
160. #16837510C22semidirect
166. #16837504C22semidirect
167. #16837504C22semidirect
168. #16837504C22semidirect
169. #16837504C22semidirect
170. #16837504C22semidirect
171. #16837504C22semidirect
172. #16837504C22semidirect
173. #16837504C22semidirect
174. #16837504C22semidirect
176. C4×#11745660C22semidirect
178. C4×D472C22semidirect
179. #16837444C22semidirect
180. #16837440C22semidirect
181. C2×#14273661C22semidirect
183. #16837404C22semidirect
185. #16837399C22semidirect
186. C2×#14273652C22semidirect
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
691. #11745660#41semidirect
887. #2970D59semidirect
1022. #446C2×D59semidirect
1023. #446C2×D59semidirect
1054. #435C2×D59semidirect
1055. #435C2×D59semidirect
1056. C8×D4C2×D59semidirect
1057. C8×D4C2×D59semidirect
1058. #432C2×D59semidirect
1059. #432C2×D59semidirect
1060. #432C2×D59semidirect
1070. C4×M16C2×D59semidirect
1071. C2×#97C2×D59semidirect
1072. C2×#97C2×D59semidirect
1073. C59#61456semidirect

Maximal subgroups

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

subgroupindex
#214377062
#214376892
#214371862
#214370432
#214368662
#214368512
#214366432
#214365832
#214364992
#214362392
#214362092
#214361342
#214361042
#214360002
#214359482
#214358082
#214356412
#214355962
#214348252
#214347942
#214342692
#214342482
#214342362
#214342072
#214341882
C4×#142737552
#214328982
C2×#168375042
C59×#29702
#6145659