Finite Group Databasebeta

← #29470474

Subgroups — #29470474

Order 15104.

1904 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437711C211yesmaximal, characteristic, complemented
2#21437706C211yesmaximal, characteristic, complemented
3#21437164C211yesmaximal, characteristic, complemented
4#21437043C211yesmaximal, characteristic, complemented
5#21436925C211yesmaximal, characteristic, complemented
6#21436866C211yesmaximal, characteristic, complemented
7#21436658C211yesmaximal, characteristic, complemented
8#21436568C211yesmaximal, characteristic, complemented
9#21436553C211yesmaximal, characteristic, complemented
10#21436351C211yesmaximal, characteristic, complemented
11#21436314C211yesmaximal, characteristic, complemented
12#21436269C211yesmaximal, characteristic, complemented
13#21436209C211yesmaximal, characteristic, complemented
14#21436119C211yesmaximal, characteristic, complemented
15#21436059C211yesmaximal, characteristic, complemented
16#21435732C211yesmaximal, characteristic, complemented
17#21435611C211yesmaximal, characteristic, complemented
18#21435596C211yesmaximal, characteristic, complemented
19#21434702C211yesmaximal, characteristic, complemented
20#21434691C211yesmaximal, characteristic, complemented
21#21434666C211yesmaximal, characteristic, complemented
22#21434178C211yesmaximal, characteristic, complemented
23#21434145C211yesmaximal, characteristic, complemented
24#21434128C211yesmaximal, characteristic, complemented
25#21434116C211yesmaximal, characteristic, complemented
26#21434116C211yesmaximal, characteristic, complemented
27#21434105C211yesmaximal, characteristic, complemented
28C4×#14273760C211yesmaximal, characteristic, complemented
29C4×#14273755C211yesmaximal, characteristic, complemented
30C2×C4×#11745660C211yesmaximal, characteristic, complemented
31C59×#2965C211yesmaximal, characteristic, complemented
32C2×#14273760C2211yescharacteristic
33C2×#14273755C2211yescharacteristic
34C22×#11745660C2211yescharacteristic
35#16838137C2211yescharacteristic
36#16838130C2211yescharacteristic, complemented
37#16838125C2211yescharacteristic, complemented
38#16838120—21no—
39#16838112C2211yescharacteristic
40#16838109C2211yescharacteristic
41#16838098C2211yescharacteristic
42#16838098C2211yescharacteristic
43#16838096—21no—
44#16838092C2211yescharacteristic
45#16838092C2211yescharacteristic, complemented
46#16838085—21no—
47#16838085—21no—
48#16838076—21no—
49#16838076—21no—
50D4×Dic118C2211yescharacteristic, complemented
51#16838061C2211yescharacteristic
52#16838061C2211yescharacteristic, complemented
53#16838056C2211yescharacteristic, complemented
54#16838051—21no—
55#16838048C2211yescharacteristic
56#16838048C2211yescharacteristic
57#16838040—21no—
58D4×D236C2211yescharacteristic
59#16837959C2211yescharacteristic, complemented
60#16837956—21no—
61#16837952C2211yescharacteristic
62#16837939—21no—
63#16837936C2211yescharacteristic
64#16837936C2211yescharacteristic
65#16837936C2211yescharacteristic, complemented
66#16837936C2211yescharacteristic, complemented
67#16837932—21no—
68#16837932—21no—
69#16837911—21no—
70#16837911—21no—
71C4×#11745685C2211yescharacteristic
72C4×#11745685C2211yescharacteristic, complemented
73C4×#11745687—21no—
74C2×C4×Dic118C2211yescharacteristic, complemented
75C2×C4×Dic118C2211yescharacteristic, complemented
76C2×C4×D236C2211yescharacteristic
77C2×C4×D236C2211yescharacteristic
78C4×D4×D59—21no—
79#16837811C2211yescharacteristic, complemented
80#16837811C2211yescharacteristic, complemented
81#16837804C2211yescharacteristic, complemented
82#16837796C2211yescharacteristic, complemented
83#16837791C2211yescharacteristic
84#16837786C2211yescharacteristic, complemented
85#16837771C2211yescharacteristic, complemented
86#16837767C2211yescharacteristic
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#16837733C2211yescharacteristic, complemented
96#16837733C2211yescharacteristic, complemented
97#16837727C2211yescharacteristic
98#16837727C2211yescharacteristic, complemented
99#16837721C2211yescharacteristic, complemented
100#16837721C2211yescharacteristic, complemented
101#16837721C2211yescharacteristic, complemented
102#16837716C2211yescharacteristic
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#16837688C2211yescharacteristic, complemented
115#16837660C2211yescharacteristic, complemented
116#16837660C2211yescharacteristic, complemented
117#16837655C2211yescharacteristic, complemented
118#16837655C2211yescharacteristic, complemented
119#16837648C2211yescharacteristic
120#16837648C2211yescharacteristic
121#16837648C2211yescharacteristic, complemented
122#16837648C2211yescharacteristic, complemented
123#16837643C2211yescharacteristic, complemented
124#16837638C2211yescharacteristic
125#16837631C2211yescharacteristic
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#16837608C2211yescharacteristic
136#16837608C2211yescharacteristic, complemented
137#16837603C2211yescharacteristic
138#16837603C2211yescharacteristic
139#16837566C2211yescharacteristic
140#16837566C2211yescharacteristic, complemented
141#16837560C2211yescharacteristic, complemented
142#16837555C2211yescharacteristic
143#16837555C2211yescharacteristic
144#16837555C2211yescharacteristic
145#16837549C2211yescharacteristic
146#16837549C2211yescharacteristic
147#16837543C2211yescharacteristic
148#16837543C2211yescharacteristic, complemented
149#16837543C2211yescharacteristic, complemented
150#16837538C2211yescharacteristic
151#16837515C2211yescharacteristic
152#16837515C2211yescharacteristic, complemented
153#16837510C2211yescharacteristic, complemented
154#16837510C2211yescharacteristic, complemented
155#16837504C2211yescharacteristic
156#16837504C2211yescharacteristic
157#16837504C2211yescharacteristic
158#16837504C2211yescharacteristic, complemented
159C4×Dic236C2211yescharacteristic, complemented
160C4×Dic236C2211yescharacteristic, complemented
161C4×Dic236C2211yescharacteristic, complemented
162C4×#11745660C2211yescharacteristic
163C4×#11745660C2211yescharacteristic
164C4×#11745660C2211yescharacteristic
165C4×#11745660C2211yescharacteristic
166C4×#11745660C2211yescharacteristic
167C4×#11745660C2211yescharacteristic, complemented
168C4×#11745660C2211yescharacteristic, complemented
169C4×#11745660C2211yescharacteristic, complemented
170C4×#11745660C2211yescharacteristic, complemented
171C4×#11745660C2211yescharacteristic, complemented
172C4×#11745660C2211yescharacteristic, complemented
173C4×#11745660C2211yescharacteristic, complemented
174C4×#11745660C2211yescharacteristic, complemented
175C4×#11745660C2211yescharacteristic, complemented
176C4×D472C2211yescharacteristic
177C4×D472C2211yescharacteristic, complemented
178C4×D472C2211yescharacteristic, complemented
179#16837444C2211yescharacteristic, complemented
180#16837444C2211yescharacteristic, complemented
181C2×#14273659C2211yescharacteristic, complemented
182#16837412C2211yescharacteristic, complemented
183#16837408C2211yescharacteristic
184#16837404C2211yescharacteristic
185#16837404C2211yescharacteristic, complemented
186C2×#14273652C2211yescharacteristic, complemented
187C2×#14273649C2211yescharacteristic
188C4×#41×C59C2211yescharacteristic
189C59×#446C2211yescharacteristic, complemented
190C59×#446C2211yescharacteristic, complemented
191C59×#436C2211yescharacteristic, complemented
192C59×#436C2211yescharacteristic, complemented
193C59×#435C2211yescharacteristic
194C59×#435C2211yescharacteristic
195C59×#435C2211yescharacteristic, complemented
196C59×#435C2211yescharacteristic, complemented
197C59×#431C2211yescharacteristic, complemented
198C59×#431C2211yescharacteristic, complemented
199C59×#431C2211yescharacteristic, complemented
200C4×M16×C59C2211yescharacteristic, complemented
201C4×M16×C59C2211yescharacteristic, complemented
202C2×C4×C8×C59C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C22×Dic118C2311yescharacteristic
208C22×Dic118C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C2×D4×D59—21no—
212C22×C4×D59—21no—
213C22×C4×D59—21no—
214#14273760—24no—
215#14273755—24no—
216C2×Dic236C2311yescharacteristic
217C2×Dic236C2311yescharacteristic
218C2×Dic236C2311yescharacteristic
219C2×#11745660—24no—
220C2×#11745660C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745660C2311yescharacteristic
229C2×#11745660C2311yescharacteristic
230C2×D472C2311yescharacteristic
231C2×D472C2311yescharacteristic
232C2×D472C2311yescharacteristic
233#14273727C2311yescharacteristic
234#14273727C2311yescharacteristic
235#14273727C2311yescharacteristic
236#14273726—21no—
237#14273725—21no—
238#14273724C2311yescharacteristic
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#14273719—21no—
250#14273719C2311yescharacteristic
251#14273719C2311yescharacteristic
252#14273719C2311yescharacteristic
253#14273719C2311yescharacteristic
254#14273718—21no—
255#14273717—21no—
256#14273717—21no—
257#14273717—21no—
258#14273717—21no—
259#14273716—21no—
260#14273715—21no—
261#14273715C2311yescharacteristic
262#14273715C2311yescharacteristic
263#14273715C2311yescharacteristic
264#14273715C2311yescharacteristic
265#14273713—21no—
266#14273713—21no—
267#14273712—21no—
268#14273712—21no—
269#14273712—21no—
270#14273712—21no—
271#14273711—21no—
272#14273711—21no—
273#14273710—21no—
274#14273710—21no—
275#14273710—21no—
276#14273710—21no—
277#14273709—21no—
278#14273709—21no—
279#14273708—21no—
280#14273708—21no—
281#14273707—21no—
282#14273706—21no—
283#14273706C2311yescharacteristic
284#14273706C2311yescharacteristic
285#14273706C2311yescharacteristic
286#14273706C2311yescharacteristic
287#14273706C2311yescharacteristic
288#14273706C2311yescharacteristic
289#14273705—21no—
290#14273705—21no—
291#14273705—21no—
292#14273705—21no—
293#14273704—21no—
294#14273704—21no—
295#14273704—21no—
296#14273704—21no—
297#14273703—21no—
298#14273703—21no—
299#14273702—21no—
300#14273701—21no—
301#14273701C2311yescharacteristic
302#14273701C2311yescharacteristic
303#14273701C2311yescharacteristic
304#14273701C2311yescharacteristic
305#14273701C2311yescharacteristic
306#14273701C2311yescharacteristic
307#14273700—21no—
308#14273700—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×Dic118—21no—
320C4×Dic118—21no—
321C4×Dic118—21no—
322C4×Dic118C2311yescharacteristic
323C4×Dic118C2311yescharacteristic
324C4×Dic118C2311yescharacteristic
325C4×Dic118C2311yescharacteristic
326C4×Dic118C2311yescharacteristic
327C4×Dic118C2311yescharacteristic
328C4×Dic118C2311yescharacteristic
329C4×Dic118C2311yescharacteristic
330C4×Dic118C2311yescharacteristic
331C4×Dic118C2311yescharacteristic
332#14273692—21no—
333C4×D236—21no—
334C4×D236—21no—
335C4×D236—21no—
336C4×D236—21no—
337C4×D236—21no—
338C4×D236C2311yescharacteristic
339C4×D236C2311yescharacteristic
340C4×D236C2311yescharacteristic
341C4×D236C2311yescharacteristic
342C4×D236C2311yescharacteristic
343C4×D236C2311yescharacteristic
344C4×D236C2311yescharacteristic
345C4×D236C2311yescharacteristic
346C4×D236C2311yescharacteristic
347C4×D236C2311yescharacteristic
348D4×Dic59—21no—
349D4×Dic59—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—
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363#14273686—21no—
364#14273686C2311yescharacteristic
365#14273686C2311yescharacteristic
366#14273685—21no—
367#14273684—21no—
368#14273684—21no—
369#14273684—21no—
370#14273684—21no—
371#14273684—21no—
372#14273684—21no—
373#14273683—21no—
374#14273683—21no—
375C2×C4⋊Dic59C2311yescharacteristic
376C2×C4⋊Dic59C2311yescharacteristic
377C2×C4⋊Dic59C2311yescharacteristic
378C2×C4⋊Dic59C2311yescharacteristic
379C2×Dic59⋊C4—21no—
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—
387C2×C4×Dic59—21no—
388C42×D59—21no—
389C42×D59—21no—
390#14273661C2311yescharacteristic
391#14273661C2311yescharacteristic
392#14273661C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273661C2311yescharacteristic
396#14273659C2311yescharacteristic
397#14273659C2311yescharacteristic
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#14273652C2311yescharacteristic
419#14273652C2311yescharacteristic
420#14273652C2311yescharacteristic
421#14273652C2311yescharacteristic
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
441C2×M16×C59C2311yescharacteristic
442C2×M16×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
475C4×C8×C59C2311yescharacteristic
476C4×C8×C59C2311yescharacteristic
477C4×C8×C59C2311yescharacteristic
478C4×C8×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—
505C22×Dic59—21no—
506C22×Dic59—21no—
507C22×Dic59—21no—
508C22×Dic59—21no—
509C22×Dic59—21no—
510C22×Dic59—21no—
511#11745687—44no—
512D4×D59—44no—
513#11745685—22no—
514#11745685—22no—
515#11745685—41no—
516#11745685—41no—
517#11745685—82no—
518C2×D236—22no—
519C2×D236—22no—
520C2×D236—21no—
521C2×D236—21no—
522C2×D236—21no—
523C2×D236—21no—
524C2×D236—41no—
525C2×D236—41no—
526C2×D236C2411yescharacteristic
527C2×D236C2411yescharacteristic
528C2×D236C2411yescharacteristic
529C2×D236C2411yescharacteristic
530C2×C4×D59—21no—
531C2×C4×D59—21no—
532C2×C4×D59—21no—
533C2×C4×D59—21no—
534C2×C4×D59—21no—
535C2×C4×D59—21no—
536C2×C4×D59—21no—
537C2×C4×D59—21no—
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—82no—
543C2×C4×D59—82no—
544C2×Dic118—22no—
545C2×Dic118—22no—
546C2×Dic118—21no—
547C2×Dic118—21no—
548C2×Dic118—21no—
549C2×Dic118—21no—
550C2×Dic118—41no—
551C2×Dic118—41no—
552C2×Dic118C2411yescharacteristic
553C2×Dic118C2411yescharacteristic
554C2×Dic118C2411yescharacteristic
555C2×Dic118C2411yescharacteristic
556M16×C59—22no—
557M16×C59—22no—
558M16×C59—41no—
559M16×C59—41no—
560C2×C8×C59—22no—
561C2×C8×C59—41no—
562C2×C8×C59C2411yescharacteristic
563C2×C8×C59C2411yescharacteristic
564C2×C8×C59C2411yescharacteristic
565C2×C8×C59C2411yescharacteristic
566C2×C8×C59C2411yescharacteristic
567C2×C8×C59C2411yescharacteristic
568C2×C8×C59C2411yescharacteristic
569C2×C8×C59C2411yescharacteristic
570C4⋊C4×C59C2×D411yescharacteristic
571C4⋊C4×C59C2×D411yescharacteristic
572C4⋊C4×C59C2×D411yescharacteristic
573C4⋊C4×C59C2×D411yescharacteristic
574C4⋊C4×C59C2×D411yescharacteristic
575C4⋊C4×C59C2×D411yescharacteristic
576C22⋊C4×C59C2×D411yescharacteristic
577C22⋊C4×C59C2×D411yescharacteristic
578C22⋊C4×C59C2×D411yescharacteristic
579C22⋊C4×C59C2×D411yescharacteristic
580C22⋊C4×C59C2×D411yescharacteristic
581C22⋊C4×C59C2×D411yescharacteristic
582C42×C59C2×D411yescharacteristic
583C42×C59C2×D411yescharacteristic
584C42×C59C2×D411yescharacteristic
585C42×C59C2×D411yescharacteristic
586C42×C59C2×D411yescharacteristic
587C42×C59C2×D411yescharacteristic
588C42×C59C2411yescharacteristic
589C42×C59C2411yescharacteristic
590C42×C59C2411yescharacteristic
591C42×C59C2411yescharacteristic
592C22⋊Dic59—21no—
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600(C2×D59)⋊C4—21no—
601(C2×D59)⋊C4—21no—
602(C2×D59)⋊C4—21no—
603(C2×D59)⋊C4—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—
624C4⋊Dic59—21no—
625C4⋊Dic59—21no—
626C4⋊Dic59—21no—
627C4⋊Dic59—21no—
628C4⋊Dic59—21no—
629C4⋊Dic59—21no—
630C4⋊Dic59—21no—
631C4⋊Dic59—21no—
632C4⋊Dic59C2411yescharacteristic
633C4⋊Dic59C2411yescharacteristic
634C4⋊Dic59C2411yescharacteristic
635C4⋊Dic59C2411yescharacteristic
636C4⋊Dic59C2411yescharacteristic
637C4⋊Dic59C2411yescharacteristic
638C4⋊Dic59C2411yescharacteristic
639C4⋊Dic59C2411yescharacteristic
640Dic59⋊C4—21no—
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4—21no—
644Dic59⋊C4—21no—
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59—21no—
676Dic236—22no—
677Dic236—22no—
678Dic236—41no—
679D472—22no—
680D472—22no—
681D472—41no—
682#11745660—22no—
683#11745660—22no—
684#11745660—22no—
685#11745660—22no—
686#11745660—22no—
687#11745660—41no—
688#11745660—41no—
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—42no—
700C22×D59—42no—
701C22×D59—42no—
702C22×D59—42no—
703C22×D59—81no—
704C22×D59—81no—
705Q8×C59—41no—
706D4×C59—22no—
707D4×C59—22no—
708D4×C59—41no—
709C2×C4×C59—22no—
710C2×C4×C59—22no—
711C2×C4×C59—22no—
712C2×C4×C59—22no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—41no—
720C2×C4×C59—41no—
721C2×C4×C59C22×D411yescharacteristic
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×C59C2511yescharacteristic
733C22⋊D59—42no—
734C22⋊D59—42no—
735C22⋊D59—42no—
736C22⋊D59—42no—
737C22⋊D59—42no—
738C22⋊D59—42no—
739C22⋊D59—81no—
740C22⋊D59—81no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
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—42no—
754C2×Dic59—42no—
755C2×Dic59—42no—
756C2×Dic59—42no—
757C2×Dic59—81no—
758C2×Dic59—81no—
759D236—21no—
760D236—21no—
761D236—21no—
762D236—21no—
763D236—21no—
764D236—21no—
765D236—21no—
766D236—42no—
767D236—42no—
768D236—42no—
769D236—81no—
770D236C2×#4112yes—
771C4×D59—42no—
772C4×D59—42no—
773C4×D59—42no—
774C4×D59—42no—
775C4×D59—42no—
776C4×D59—42no—
777C4×D59—42no—
778C4×D59—42no—
779C4×D59—81no—
780C4×D59—81no—
781C4×D59—81no—
782C4×D59—81no—
783Dic118—21no—
784Dic118—21no—
785Dic118—21no—
786Dic118—21no—
787Dic118—21no—
788Dic118—21no—
789Dic118—21no—
790Dic118—42no—
791Dic118—42no—
792Dic118—42no—
793Dic118—81no—
794Dic118C2×#4112yes—
795C8×C59—21no—
796C8×C59—21no—
797C8×C59—21no—
798C8×C59—21no—
799C8×C59—21no—
800C8×C59—21no—
801C8×C59—21no—
802C8×C59C2×#4112yes—
803#61445—591nomaximal, Sylow
804C22×C59—21no—
805C22×C59—21no—
806C22×C59—21no—
807C22×C59—21no—
808C22×C59—21no—
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—21no—
812C22×C59#57512yes—
813C22×C59C23×D411yescharacteristic
814C2×D59—22no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—41no—
821C2×D59—41no—
822C2×D59—41no—
823C2×D59—41no—
824C2×D59—41no—
825C2×D59—41no—
826C2×D59—84no—
827C2×D59—84no—
828C4×C59—21no—
829C4×C59—21no—
830C4×C59—21no—
831C4×C59—21no—
832C4×C59—21no—
833C4×C59—21no—
834C4×C59—21no—
835C4×C59—21no—
836C4×C59—21no—
837C4×C59—21no—
838C4×C59#57712yes—
839C4×C59C22×#4111yescharacteristic
840C4×C59#58511yescharacteristic
841Dic59—22no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845Dic59—41no—
846Dic59—41no—
847Dic59—41no—
848Dic59—41no—
849Dic59—41no—
850Dic59—41no—
851Dic59—41no—
852Dic59—41no—
853#3482—591no—
854#3481—591no—
855#3401—591no—
856#3388—591no—
857#3376—591no—
858#3371—591no—
859#3351—591no—
860#3345—591no—
861#3344—591no—
862#3326—591no—
863#3323—591no—
864#3320—591no—
865#3316—591no—
866#3310—591no—
867#3306—591no—
868#3275—591no—
869#3266—591no—
870#3265—591no—
871#3172—591no—
872#3171—591no—
873#3168—591no—
874#3108—591no—
875#3105—591no—
876#3103—591no—
877#3102—591no—
878#3102—591no—
879#3101—591no—
880#2965D5911yescharacteristic, complemented
881C4×#137—591no—
882C4×AGL(1,ℤ/8)—591no—
883C2×C4×SD16—591no—
884C2×C59—22no—
885C2×C59—41no—
886C2×C59—41no—
887C2×C59D4×#4111yescharacteristic
888C2×C59C2×#57511yescharacteristic
889C2×C59C2×#57711yescharacteristic
890D59—42no—
891D59—81no—
892D59—81no—
893D59—81no—
894C2×#137—591no—
895C2×AGL(1,ℤ/8)—591no—
896C22×SD16—591no—
897#559—591no—
898#557—591no—
899#556—591no—
900#556—1181no—
901#554—591no—
902#554—591no—
903#553—591no—
904#553—591no—
905#553—1181no—
906#552—591no—
907#552—591no—
908#552—1181no—
909#552—1181no—
910#551—1181no—
911#551—1181no—
912D4×Q8—591no—
913#548—591no—
914#548—591no—
915#547—591no—
916#547—1181no—
917#546—591no—
918#546—591no—
919#546—1181no—
920D42—591no—
921#533—591no—
922#533—1181no—
923#532—591no—
924#529—591no—
925#529—591no—
926#529—591no—
927#529—591no—
928#529—1181no—
929#529—1181no—
930#529—1181no—
931#525—1181no—
932#525—1181no—
933C4×#41—591no—
934C4×#41—591no—
935C4×#41—1181no—
936C4×#41C2×D5911yescharacteristic
937C2×C4×Q8—591no—
938C2×C4×Q8—591no—
939C2×C4×D4—591no—
940C2×C4×D4—591no—
941C2×C4×D4—1181no—
942#501—591no—
943#501—591no—
944#499—591no—
945#497—591no—
946#496—591no—
947#495—591no—
948#491—591no—
949#490—591no—
950#489—591no—
951#489—591no—
952#488—591no—
953#488—591no—
954#485—591no—
955#485—591no—
956#484—591no—
957#483—591no—
958#483—591no—
959#483—591no—
960#482—591no—
961#482—591no—
962#481—591no—
963#481—591no—
964#481—591no—
965#480—591no—
966#479—591no—
967#479—591no—
968#479—591no—
969#479—591no—
970#478—591no—
971#478—591no—
972#478—591no—
973#478—591no—
974#476—591no—
975#476—591no—
976#475—591no—
977#475—591no—
978#470—591no—
979#470—591no—
980#469—591no—
981#469—591no—
982#468—591no—
983#468—591no—
984#468—591no—
985#468—591no—
986#467—591no—
987#466—591no—
988#465—591no—
989#465—591no—
990#464—591no—
991#464—591no—
992#464—591no—
993#464—591no—
994#463—591no—
995#463—591no—
996#463—591no—
997#463—591no—
998#461—591no—
999#461—591no—
1000#460—591no—
1001#460—591no—
1002#452—591no—
1003#452—591no—
1004#451—591no—
1005#450—591no—
1006#450—591no—
1007#450—591no—
1008#449—591no—
1009#449—591no—
1010#448—591no—
1011#448—591no—
1012#448—591no—
1013#447—591no—
1014#446C2×D5911yescharacteristic, complemented
1015#446C2×D5911yescharacteristic, complemented
1016#442—591no—
1017#442—591no—
1018#441—591no—
1019#441—591no—
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440—591no—
1024C4×Q16—591no—
1025C4×Q16—591no—
1026C4×Q16—591no—
1027C4×SD16—591no—
1028C4×SD16—591no—
1029C4×SD16—591no—
1030C4×SD16—591no—
1031C4×SD16—591no—
1032C4×SD16—591no—
1033C4×SD16—591no—
1034C4×SD16—591no—
1035C4×SD16—591no—
1036C4×SD16—591no—
1037C4×SD16—591no—
1038C4×SD16—591no—
1039C4×SD16—591no—
1040C4×SD16—591no—
1041C4×D8—591no—
1042C4×D8—591no—
1043C4×D8—591no—
1044#436C2×D5911yescharacteristic, complemented
1045#436C2×D5911yescharacteristic, complemented
1046#435C2×D5911yescharacteristic
1047#435C2×D5911yescharacteristic
1048#435C2×D5911yescharacteristic, complemented
1049#435C2×D5911yescharacteristic, complemented
1050#431C2×D5911yescharacteristic, complemented
1051#431C2×D5911yescharacteristic, complemented
1052#431C2×D5911yescharacteristic, complemented
1053#428—591no—
1054#428—591no—
1055C2×#106—591no—
1056#419—591no—
1057#418—591no—
1058#417—591no—
1059#417—591no—
1060C2×#103—591no—
1061C2×#102—591no—
1062C4×M16C2×D5911yescharacteristic, complemented
1063C4×M16C2×D5911yescharacteristic, complemented
1064C2×C4×C8C2×D5911yescharacteristic, complemented
1065C59#6144511yescharacteristic, complemented, Sylow
1066C2×#41—591no—
1067C2×#41—591no—
1068C2×#41—1181no—
1069C2×#41—1181no—
1070C2×#41D23611yescharacteristic
1071C22×Q8—591no—
1072C22×Q8—591no—
1073C22×D4—591no—
1074C22×D4—591no—
1075C22×D4—1181no—
1076C23×C4—1181no—
1077C23×C4—1181no—
1078#137—1184no—
1079AGL(1,ℤ/8)—1184no—
1080C2×Q16—591no—
1081C2×Q16—591no—
1082C2×Q16—591no—
1083C2×SD16—591no—
1084C2×SD16—591no—
1085C2×SD16—591no—
1086C2×SD16—591no—
1087C2×SD16—591no—
1088C2×SD16—591no—
1089C2×SD16—591no—
1090C2×SD16—591no—
1091C2×SD16—591no—
1092C2×SD16—591no—
1093C2×SD16—1184no—
1094C2×D8—591no—
1095C2×D8—591no—
1096C2×D8—591no—
1097C2×M16C22×D5911yescharacteristic
1098C2×M16C22×D5911yescharacteristic
1099C2×M16C22×D5911yescharacteristic
1100C2×M16C22×D5911yescharacteristic
1101C22×C8C22×D5911yescharacteristic
1102C22×C8C22×D5911yescharacteristic
1103C4⋊Q8—591no—
1104C4⋊Q8—591no—
1105C4⋊Q8—591no—
1106C4⋊Q8—1181no—
1107C4⋊Q8—1181no—
1108#127—591no—
1109#126—1181no—
1110#126—1181no—
1111#126—1181no—
1112#126—1181no—
1113#126—1181no—
1114#126—1181no—
1115#126—1181no—
1116#126—1181no—
1117#126—1181no—
1118#126—1181no—
1119#125—591no—
1120#125—591no—
1121#125—591no—
1122#125—591no—
1123#125—1181no—
1124#125—1181no—
1125#125—1181no—
1126#125—1181no—
1127#125—1181no—
1128#125—1181no—
1129#124—591no—
1130#124—591no—
1131#124—591no—
1132#124—591no—
1133#124—1181no—
1134#124—1181no—
1135#124—1181no—
1136#124—1181no—
1137#123—1181no—
1138#123—1181no—
1139#123—1181no—
1140#123—1181no—
1141#123—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—
1151C22⋊Q8—591no—
1152C22⋊Q8—591no—
1153C22⋊Q8—591no—
1154C22⋊Q8—591no—
1155C22⋊Q8—591no—
1156C22⋊Q8—591no—
1157C22⋊Q8—1181no—
1158C22⋊Q8—1181no—
1159C22⋊Q8—1181no—
1160C22⋊Q8—1181no—
1161C22⋊Q8—1181no—
1162C22⋊Q8—1181no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8—1181no—
1169#121—591no—
1170#121—591no—
1171#121—591no—
1172#121—591no—
1173#121—591no—
1174#121—591no—
1175#121—1181no—
1176#121—1181no—
1177#121—1181no—
1178#121—1181no—
1179#121—1181no—
1180#121—1181no—
1181#121—1181no—
1182#121—1181no—
1183#120—1181no—
1184#120—1181no—
1185#120—1181no—
1186#120—1181no—
1187C4×Q8—591no—
1188C4×Q8—591no—
1189C4×Q8—591no—
1190C4×Q8—591no—
1191C4×Q8—591no—
1192C4×Q8—591no—
1193C4×Q8—591no—
1194C4×Q8—591no—
1195C4×Q8—591no—
1196C4×Q8—591no—
1197C4×Q8—1181no—
1198C4×Q8—1181no—
1199C4×Q8—1181no—
1200C4×Q8—1181no—
1201C4×Q8—1181no—
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—1181no—
1216C4×D4—1181no—
1217C4×D4—1181no—
1218C4×D4—1181no—
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×D4D23611yescharacteristic
1236C4×D4D23611yescharacteristic
1237C4×D4D23611yescharacteristic
1238C4×D4C22×D5911yescharacteristic
1239C4×D4C22×D5911yescharacteristic
1240C4×D4C22×D5911yescharacteristic
1241#117—591no—
1242#117—591no—
1243#117—1181no—
1244#117—1181no—
1245#117—1181no—
1246#117—1181no—
1247#117—1181no—
1248#117—1181no—
1249#117—1181no—
1250#117—1181no—
1251#117—1181no—
1252#117—1181no—
1253#117D23611yescharacteristic
1254#117D23611yescharacteristic
1255#117D23611yescharacteristic
1256C2×C4⋊C4—591no—
1257C2×C4⋊C4—591no—
1258C2×C4⋊C4—591no—
1259C2×C4⋊C4—591no—
1260C2×C4⋊C4—1181no—
1261C2×C4⋊C4—1181no—
1262C2×C4⋊C4—1181no—
1263C2×C22⋊C4—1181no—
1264C2×C22⋊C4—1181no—
1265C2×C22⋊C4—1181no—
1266C2×C22⋊C4—1181no—
1267C2×C42—1181no—
1268C2×C42—1181no—
1269C2×C42—1181no—
1270C2×C42—1181no—
1271C2×C42C22×D5911yescharacteristic
1272C2×C42C22×D5911yescharacteristic
1273C2×C42C22×D5911yescharacteristic
1274#107—591no—
1275#107—591no—
1276#107—591no—
1277#107—591no—
1278#107—591no—
1279#107—591no—
1280#106—591no—
1281#106—591no—
1282#106—591no—
1283#106—591no—
1284#106—591no—
1285#106—591no—
1286#106—591no—
1287#106—591no—
1288#106—591no—
1289#106—591no—
1290C4⋊C8C22×D5911yescharacteristic
1291C4⋊C8C22×D5911yescharacteristic
1292C4⋊C8C22×D5911yescharacteristic
1293C4⋊C8C22×D5911yescharacteristic
1294C4⋊C8C22×D5911yescharacteristic
1295C4⋊C8C22×D5911yescharacteristic
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103—591no—
1300#103—591no—
1301#103—591no—
1302#103—591no—
1303#103—591no—
1304#103—591no—
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103—591no—
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102—591no—
1316#102—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102—591no—
1326#102—591no—
1327#102—591no—
1328C22⋊C8C22×D5911yescharacteristic
1329C22⋊C8C22×D5911yescharacteristic
1330C22⋊C8C22×D5911yescharacteristic
1331C22⋊C8C22×D5911yescharacteristic
1332C22⋊C8C22×D5911yescharacteristic
1333C22⋊C8C22×D5911yescharacteristic
1334#97C22×D5911yescharacteristic
1335#97C22×D5911yescharacteristic
1336#97C22×D5911yescharacteristic
1337#97C22×D5911yescharacteristic
1338C4×C8C22×D5911yescharacteristic
1339C4×C8C22×D5911yescharacteristic
1340C4×C8C22×D5911yescharacteristic
1341C4×C8C22×D5911yescharacteristic
1342C4×C8C22×D5911yescharacteristic
1343C4×C8C22×D5911yescharacteristic
1344C24—1181no—
1345C24—1181no—
1346#41—42no—
1347#41—1182no—
1348#41—1182no—
1349#41—4722no—
1350#41—2361no—
1351#41—2361no—
1352#41—2364no—
1353C2×Q8—591no—
1354C2×Q8—591no—
1355C2×Q8—591no—
1356C2×Q8—591no—
1357C2×Q8—1182no—
1358C2×Q8—1182no—
1359C2×Q8—1181no—
1360C2×Q8—1181no—
1361C2×Q8—1181no—
1362C2×Q8—1181no—
1363C2×Q8—2361no—
1364C2×Q8—2361no—
1365C2×Q8C2×D23611yescharacteristic
1366C2×D4—591no—
1367C2×D4—591no—
1368C2×D4—591no—
1369C2×D4—591no—
1370C2×D4—1182no—
1371C2×D4—1182no—
1372C2×D4—1181no—
1373C2×D4—1181no—
1374C2×D4—1181no—
1375C2×D4—1181no—
1376C2×D4—1181no—
1377C2×D4—1181no—
1378C2×D4—1181no—
1379C2×D4—1181no—
1380C2×D4—1181no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—2361no—
1385C2×D4—2361no—
1386C2×D4—2364no—
1387C2×D4C2×D23611yescharacteristic
1388C2×D4C2×D23611yescharacteristic
1389C2×D4C2×D23611yescharacteristic
1390C22×C4—1181no—
1391C22×C4—1181no—
1392C22×C4—1181no—
1393C22×C4—1181no—
1394C22×C4—1181no—
1395C22×C4—1181no—
1396C22×C4—1181no—
1397C22×C4—1181no—
1398C22×C4—1181no—
1399C22×C4—1181no—
1400C22×C4—1181no—
1401C22×C4—1181no—
1402C22×C4—1181no—
1403C22×C4—1181no—
1404C22×C4—1181no—
1405C22×C4—1181no—
1406C22×C4—1181no—
1407C22×C4—1181no—
1408C22×C4—4722no—
1409C22×C4—4722no—
1410C22×C4C2×D23611yescharacteristic
1411C22×C4C2×D23611yescharacteristic
1412C22×C4C2×D23611yescharacteristic
1413C22×C4C2×D23611yescharacteristic
1414C22×C4C2×D23611yescharacteristic
1415C22×C4C2×D23611yescharacteristic
1416C22×C4C23×D5911yescharacteristic
1417C22×C4C23×D5911yescharacteristic
1418C22×C4C23×D5911yescharacteristic
1419Q16—1182no—
1420Q16—1182no—
1421Q16—2361no—
1422SD16—594no—
1423SD16—1182no—
1424SD16—1182no—
1425SD16—1182no—
1426SD16—1182no—
1427SD16—1182no—
1428SD16—2361no—
1429SD16—2361no—
1430SD16—2361no—
1431SD16—2361no—
1432D8—1182no—
1433D8—1182no—
1434D8—2361no—
1435M16—22no—
1436M16—22no—
1437M16—41no—
1438M16—41no—
1439C2×C8—22no—
1440C2×C8—41no—
1441C2×C8C23×D5911yescharacteristic
1442C2×C8C23×D5911yescharacteristic
1443C2×C8C23×D5911yescharacteristic
1444C2×C8C23×D5911yescharacteristic
1445C2×C8C23×D5911yescharacteristic
1446C2×C8C23×D5911yescharacteristic
1447C2×C8C23×D5911yescharacteristic
1448C2×C8C23×D5911yescharacteristic
1449C4⋊C4—591no—
1450C4⋊C4—591no—
1451C4⋊C4—591no—
1452C4⋊C4—591no—
1453C4⋊C4—591no—
1454C4⋊C4—591no—
1455C4⋊C4—591no—
1456C4⋊C4—591no—
1457C4⋊C4—1181no—
1458C4⋊C4—1181no—
1459C4⋊C4—1181no—
1460C4⋊C4—1181no—
1461C4⋊C4—1181no—
1462C4⋊C4—1181no—
1463C4⋊C4—1181no—
1464C4⋊C4—1181no—
1465C4⋊C4—1181no—
1466C4⋊C4—1181no—
1467C4⋊C4—1181no—
1468C4⋊C4—1181no—
1469C4⋊C4—1181no—
1470C4⋊C4—1181no—
1471C4⋊C4—1181no—
1472C4⋊C4—1181no—
1473C4⋊C4—1181no—
1474C4⋊C4—1181no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊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⋊C4C2×D23611yescharacteristic
1490C4⋊C4C2×D23611yescharacteristic
1491C4⋊C4C2×D23611yescharacteristic
1492C4⋊C4C2×D23611yescharacteristic
1493C4⋊C4C2×D23611yescharacteristic
1494C4⋊C4C2×D23611yescharacteristic
1495C22⋊C4—1181no—
1496C22⋊C4—1181no—
1497C22⋊C4—1181no—
1498C22⋊C4—1181no—
1499C22⋊C4—1181no—
1500C22⋊C4—1181no—
1501C22⋊C4—1181no—
1502C22⋊C4—1181no—
1503C22⋊C4—1181no—
1504C22⋊C4—1181no—
1505C22⋊C4—1181no—
1506C22⋊C4—1181no—
1507C22⋊C4—1181no—
1508C22⋊C4—1181no—
1509C22⋊C4—1181no—
1510C22⋊C4—1181no—
1511C22⋊C4—1181no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
1514C22⋊C4—1181no—
1515C22⋊C4—1181no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4C2×D23611yescharacteristic
1528C22⋊C4C2×D23611yescharacteristic
1529C22⋊C4C2×D23611yescharacteristic
1530C22⋊C4C2×D23611yescharacteristic
1531C22⋊C4C2×D23611yescharacteristic
1532C22⋊C4C2×D23611yescharacteristic
1533C42—1181no—
1534C42—1181no—
1535C42—1181no—
1536C42—1181no—
1537C42—1181no—
1538C42—1181no—
1539C42—1181no—
1540C42—1181no—
1541C42—1181no—
1542C42—1181no—
1543C42—1181no—
1544C42—1181no—
1545C42C2×D23611yescharacteristic
1546C42C2×D23611yescharacteristic
1547C42C2×D23611yescharacteristic
1548C42C2×D23611yescharacteristic
1549C42C2×D23611yescharacteristic
1550C42C2×D23611yescharacteristic
1551C42C23×D5911yescharacteristic
1552C42C23×D5911yescharacteristic
1553C42C23×D5911yescharacteristic
1554C42C23×D5911yescharacteristic
1555C23—1181no—
1556C23—1181no—
1557C23—1181no—
1558C23—1181no—
1559C23—4721no—
1560C23—4721no—
1561C23—2362no—
1562C23—2362no—
1563C23—2362no—
1564C23—2362no—
1565C23C22×D23611yescharacteristic
1566C23C22×D23611yescharacteristic
1567C23C22×D23611yescharacteristic
1568Q8—41no—
1569Q8—592no—
1570Q8—1181no—
1571Q8—1181no—
1572Q8—1181no—
1573Q8—1181no—
1574Q8—1181no—
1575Q8—1181no—
1576Q8—1181no—
1577Q8—4721no—
1578Q8—2362no—
1579Q8—2362no—
1580Q8—2362no—
1581D4—22no—
1582D4—22no—
1583D4—41no—
1584D4—592no—
1585D4—1181no—
1586D4—1181no—
1587D4—1181no—
1588D4—1181no—
1589D4—1181no—
1590D4—1181no—
1591D4—1181no—
1592D4—4721no—
1593D4—4721no—
1594D4—4721no—
1595D4—2362no—
1596D4—2362no—
1597D4—2362no—
1598D4—2362no—
1599D4—2362no—
1600D4—2362no—
1601D4—2362no—
1602D4—2362no—
1603D4—2362no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—1181no—
1617C2×C4—1181no—
1618C2×C4—1181no—
1619C2×C4—1181no—
1620C2×C4—1181no—
1621C2×C4—1181no—
1622C2×C4—1181no—
1623C2×C4—1181no—
1624C2×C4—1181no—
1625C2×C4—1181no—
1626C2×C4—1181no—
1627C2×C4—1181no—
1628C2×C4—4721no—
1629C2×C4—4721no—
1630C2×C4—4721no—
1631C2×C4—4721no—
1632C2×C4—4721no—
1633C2×C4—4721no—
1634C2×C4—2362no—
1635C2×C4—2362no—
1636C2×C4—2362no—
1637C2×C4—2362no—
1638C2×C4—2362no—
1639C2×C4—2362no—
1640C2×C4—2362no—
1641C2×C4—2362no—
1642C2×C4—2362no—
1643C2×C4—2362no—
1644C2×C4—2362no—
1645C2×C4—2362no—
1646C2×C4C22×D23611yescharacteristic
1647C2×C4C22×D23611yescharacteristic
1648C2×C4C22×D23611yescharacteristic
1649C2×C4C22×D23611yescharacteristic
1650C2×C4C22×D23611yescharacteristic
1651C2×C4C22×D23611yescharacteristic
1652C2×C4C22×D23611yescharacteristic
1653C2×C4C22×D23611yescharacteristic
1654C2×C4C22×D23611yescharacteristic
1655C2×C4C22×D23611yescharacteristic
1656C2×C4C22×D23611yescharacteristic
1657C2×C4C24×D5911yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—21no—
1664C8—21no—
1665C8#41×D5912yes—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—1182no—
1675C22—4724no—
1676C22—4724no—
1677C22—2361no—
1678C22—2361no—
1679C22—2361no—
1680C22—2361no—
1681C22—2361no—
1682C22—2361no—
1683C22—2361no—
1684C22—2361no—
1685C22—2361no—
1686C22—2361no—
1687C22—2361no—
1688C22#1683820212yes—
1689C22C23×D23611yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—1182no—
1701C4—2361no—
1702C4—2361no—
1703C4—2361no—
1704C4—2361no—
1705C4—2361no—
1706C4—2361no—
1707C4—2361no—
1708C4—2361no—
1709C4—2361no—
1710C4—2361no—
1711C4—2361no—
1712C4#1683821412yes—
1713C4C2×#41×D5911yescharacteristic
1714C4#1683823811yescharacteristic
1715C2—22no—
1716C2—41no—
1717C2—41no—
1718C2—4721no—
1719C2—4721no—
1720C2—4721no—
1721C2—2362no—
1722C2#41×D23611yescharacteristic
1723C2C2×#1683820211yescharacteristic
1724C2C2×#1683821411yescharacteristic
subgroupG/H
centerC2×C4C22×D236
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#2965C2
socleC22×C59C23×D4
hypercenter#2965D59
hypocenterC59#61445
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C4×#41 ◁ #2965

Complements

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

NH ≅ G/Ntype
1. #21437711C2semidirect
2. #21437706C2semidirect
3. #21437164C2semidirect
4. #21437043C2semidirect
5. #21436925C2semidirect
6. #21436866C2semidirect
7. #21436658C2semidirect
8. #21436568C2semidirect
9. #21436553C2semidirect
10. #21436351C2semidirect
11. #21436314C2semidirect
12. #21436269C2semidirect
13. #21436209C2semidirect
14. #21436119C2semidirect
15. #21436059C2semidirect
16. #21435732C2semidirect
17. #21435611C2semidirect
18. #21435596C2semidirect
19. #21434702C2semidirect
20. #21434691C2semidirect
21. #21434666C2semidirect
22. #21434178C2semidirect
23. #21434145C2semidirect
24. #21434128C2semidirect
25. #21434116C2semidirect
26. #21434116C2semidirect
27. #21434105C2semidirect
28. C4×#14273760C2semidirect
29. C4×#14273755C2semidirect
30. C2×C4×#11745660C2semidirect
31. C59×#2965C2semidirect
36. #16838130C22semidirect
37. #16838125C22semidirect
45. #16838092C22semidirect
50. D4×Dic118C22semidirect
52. #16838061C22semidirect
53. #16838056C22semidirect
59. #16837959C22semidirect
65. #16837936C22semidirect
66. #16837936C22semidirect
72. C4×#11745685C22semidirect
74. C2×C4×Dic118C22semidirect
75. C2×C4×Dic118C22semidirect
79. #16837811C22semidirect
80. #16837811C22semidirect
81. #16837804C22semidirect
82. #16837796C22semidirect
84. #16837786C22semidirect
85. #16837771C22semidirect
87. #16837762C22semidirect
88. #16837762C22semidirect
89. #16837757C22semidirect
90. #16837757C22semidirect
91. #16837744C22semidirect
92. #16837744C22semidirect
93. #16837738C22semidirect
94. #16837733C22semidirect
95. #16837733C22semidirect
96. #16837733C22semidirect
98. #16837727C22semidirect
99. #16837721C22semidirect
100. #16837721C22semidirect
101. #16837721C22semidirect
103. #16837710C22semidirect
104. #16837710C22semidirect
105. #16837710C22semidirect
106. #16837710C22semidirect
109. #16837703C22semidirect
110. #16837703C22semidirect
112. #16837693C22semidirect
113. #16837688C22semidirect
114. #16837688C22semidirect
115. #16837660C22semidirect
116. #16837660C22semidirect
117. #16837655C22semidirect
118. #16837655C22semidirect
121. #16837648C22semidirect
122. #16837648C22semidirect
123. #16837643C22semidirect
126. #16837631C22semidirect
127. #16837625C22semidirect
128. #16837625C22semidirect
129. #16837625C22semidirect
130. #16837625C22semidirect
133. #16837618C22semidirect
134. #16837618C22semidirect
136. #16837608C22semidirect
140. #16837566C22semidirect
141. #16837560C22semidirect
148. #16837543C22semidirect
149. #16837543C22semidirect
152. #16837515C22semidirect
153. #16837510C22semidirect
154. #16837510C22semidirect
158. #16837504C22semidirect
159. C4×Dic236C22semidirect
160. C4×Dic236C22semidirect
161. C4×Dic236C22semidirect
167. C4×#11745660C22semidirect
168. C4×#11745660C22semidirect
169. C4×#11745660C22semidirect
170. C4×#11745660C22semidirect
171. C4×#11745660C22semidirect
172. C4×#11745660C22semidirect
173. C4×#11745660C22semidirect
174. C4×#11745660C22semidirect
175. C4×#11745660C22semidirect
177. C4×D472C22semidirect
178. C4×D472C22semidirect
179. #16837444C22semidirect
180. #16837444C22semidirect
181. C2×#14273659C22semidirect
182. #16837412C22semidirect
185. #16837404C22semidirect
186. C2×#14273652C22semidirect
189. C59×#446C22semidirect
190. C59×#446C22semidirect
191. C59×#436C22semidirect
192. C59×#436C22semidirect
195. C59×#435C22semidirect
196. C59×#435C22semidirect
197. C59×#431C22semidirect
198. C59×#431C22semidirect
199. C59×#431C22semidirect
200. C4×M16×C59C22semidirect
201. C4×M16×C59C22semidirect
202. C2×C4×C8×C59C22semidirect
691. #11745660#41semidirect
880. #2965D59semidirect
1014. #446C2×D59semidirect
1015. #446C2×D59semidirect
1044. #436C2×D59semidirect
1045. #436C2×D59semidirect
1048. #435C2×D59semidirect
1049. #435C2×D59semidirect
1050. #431C2×D59semidirect
1051. #431C2×D59semidirect
1052. #431C2×D59semidirect
1062. C4×M16C2×D59semidirect
1063. C4×M16C2×D59semidirect
1064. C2×C4×C8C2×D59semidirect
1065. C59#61445semidirect

Maximal subgroups

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

subgroupindex
#214377112
#214377062
#214371642
#214370432
#214369252
#214368662
#214366582
#214365682
#214365532
#214363512
#214363142
#214362692
#214362092
#214361192
#214360592
#214357322
#214356112
#214355962
#214347022
#214346912
#214346662
#214341782
#214341452
#214341282
#214341162
#214341052
C4×#142737602
C4×#142737552
C2×C4×#117456602
C59×#29652
#6144559