Finite Group Databasebeta

← #29470386

Subgroups — #29470386

Order 15104.

1858 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437689C211yesmaximal, characteristic, complemented
2#21437660C211yesmaximal, characteristic, complemented
3#21437164C211yesmaximal, characteristic, complemented
4#21437043C211yesmaximal, characteristic, complemented
5#21436940C211yesmaximal, characteristic, complemented
6#21436851C211yesmaximal, characteristic, complemented
7#21436658C211yesmaximal, characteristic, complemented
8#21436628C211yesmaximal, characteristic, complemented
9#21436598C211yesmaximal, characteristic, complemented
10#21436366C211yesmaximal, characteristic, complemented
11#21436299C211yesmaximal, characteristic, complemented
12#21436284C211yesmaximal, characteristic, complemented
13#21436224C211yesmaximal, characteristic, complemented
14#21436134C211yesmaximal, characteristic, complemented
15#21436074C211yesmaximal, characteristic, complemented
16#21435732C211yesmaximal, characteristic, complemented
17#21435656C211yesmaximal, characteristic, complemented
18#21435641C211yesmaximal, characteristic, complemented
19#21434702C211yesmaximal, characteristic, complemented
20#21434691C211yesmaximal, characteristic, complemented
21#21434666C211yesmaximal, characteristic, complemented
22#21434178C211yesmaximal, characteristic, complemented
23#21434168C211yesmaximal, characteristic, complemented
24#21434157C211yesmaximal, characteristic, complemented
25#21434145C211yesmaximal, characteristic, complemented
26#21434116C211yesmaximal, characteristic, complemented
27#21434116C211yesmaximal, characteristic, complemented
28C4×#14273760C211yesmaximal, characteristic, complemented
29C4×#14273755C211yesmaximal, characteristic, complemented
30C4×#14273749C211yesmaximal, characteristic, complemented
31C59×#2965C211yesmaximal, characteristic, complemented
32C2×#14273760C2211yescharacteristic
33C2×#14273755C2211yescharacteristic
34C2×#14273749C2211yescharacteristic
35#16838137C2211yescharacteristic, complemented
36#16838135—21no—
37#16838130C2211yescharacteristic, complemented
38#16838125C2211yescharacteristic
39#16838124—21no—
40#16838122C2211yescharacteristic
41#16838117C2211yescharacteristic
42#16838112C2211yescharacteristic
43#16838102—21no—
44#16838101—21no—
45#16838101—21no—
46#16838098C2211yescharacteristic
47#16838098C2211yescharacteristic, complemented
48#16838093—21no—
49#16838092C2211yescharacteristic
50#16838092C2211yescharacteristic
51#16838081—21no—
52#16838081—21no—
53#16838073C2211yescharacteristic
54#16838061C2211yescharacteristic
55#16838061C2211yescharacteristic, complemented
56#16838057C2211yescharacteristic
57#16838048C2211yescharacteristic
58#16838048C2211yescharacteristic
59#16837959C2211yescharacteristic
60#16837952C2211yescharacteristic, complemented
61#16837948—21no—
62#16837936C2211yescharacteristic
63#16837936C2211yescharacteristic
64#16837936C2211yescharacteristic
65#16837936C2211yescharacteristic, complemented
66#16837930—21no—
67#16837930—21no—
68#16837930—21no—
69#16837930—21no—
70#16837909—21no—
71C4×#11745685C2211yescharacteristic
72C4×#11745685C2211yescharacteristic
73C4×#11745685C2211yescharacteristic
74C4×#11745685C2211yescharacteristic, complemented
75#16837870—21no—
76C2×C4×Dic118C2211yescharacteristic, complemented
77C2×C4×D236C2211yescharacteristic
78#117×D59—21no—
79#16837811C2211yescharacteristic, complemented
80#16837811C2211yescharacteristic, complemented
81#16837804C2211yescharacteristic, complemented
82#16837796C2211yescharacteristic, complemented
83#16837791C2211yescharacteristic
84#16837786C2211yescharacteristic
85#16837771C2211yescharacteristic, complemented
86#16837767C2211yescharacteristic, complemented
87#16837762C2211yescharacteristic
88#16837762C2211yescharacteristic, complemented
89#16837757C2211yescharacteristic
90#16837757C2211yescharacteristic, complemented
91#16837744C2211yescharacteristic
92#16837744C2211yescharacteristic
93#16837744C2211yescharacteristic, complemented
94#16837744C2211yescharacteristic, complemented
95#16837738C2211yescharacteristic
96#16837733C2211yescharacteristic, complemented
97#16837727C2211yescharacteristic
98#16837727C2211yescharacteristic, complemented
99#16837727C2211yescharacteristic, complemented
100#16837727C2211yescharacteristic, complemented
101#16837721C2211yescharacteristic
102#16837716C2211yescharacteristic
103#16837710C2211yescharacteristic, complemented
104#16837710C2211yescharacteristic, complemented
105#16837710C2211yescharacteristic, complemented
106#16837710C2211yescharacteristic, complemented
107#16837703C2211yescharacteristic
108#16837703C2211yescharacteristic
109#16837703C2211yescharacteristic
110#16837703C2211yescharacteristic, complemented
111#16837698C2211yescharacteristic, complemented
112#16837693C2211yescharacteristic
113#16837688C2211yescharacteristic, complemented
114#16837683C2211yescharacteristic, complemented
115#16837660C2211yescharacteristic
116#16837660C2211yescharacteristic
117#16837655C2211yescharacteristic
118#16837655C2211yescharacteristic
119#16837648C2211yescharacteristic
120#16837648C2211yescharacteristic
121#16837648C2211yescharacteristic, complemented
122#16837648C2211yescharacteristic, complemented
123#16837643C2211yescharacteristic, complemented
124#16837638C2211yescharacteristic
125#16837631C2211yescharacteristic
126#16837631C2211yescharacteristic, complemented
127#16837625C2211yescharacteristic
128#16837625C2211yescharacteristic
129#16837625C2211yescharacteristic
130#16837625C2211yescharacteristic, complemented
131#16837618C2211yescharacteristic
132#16837618C2211yescharacteristic
133#16837618C2211yescharacteristic
134#16837618C2211yescharacteristic
135#16837613C2211yescharacteristic, complemented
136#16837608C2211yescharacteristic, complemented
137#16837603C2211yescharacteristic, complemented
138#16837598C2211yescharacteristic
139#16837566C2211yescharacteristic
140#16837566C2211yescharacteristic
141#16837566C2211yescharacteristic
142#16837566C2211yescharacteristic, complemented
143#16837560C2211yescharacteristic, complemented
144#16837555C2211yescharacteristic
145#16837549C2211yescharacteristic
146#16837549C2211yescharacteristic
147#16837549C2211yescharacteristic
148#16837549C2211yescharacteristic
149#16837543C2211yescharacteristic
150#16837538C2211yescharacteristic
151#16837515C2211yescharacteristic
152#16837515C2211yescharacteristic
153#16837510C2211yescharacteristic, complemented
154#16837510C2211yescharacteristic, complemented
155#16837504C2211yescharacteristic
156#16837504C2211yescharacteristic
157#16837504C2211yescharacteristic
158#16837504C2211yescharacteristic
159C4×Dic236C2211yescharacteristic, complemented
160C4×Dic236C2211yescharacteristic, complemented
161C4×Dic236C2211yescharacteristic, complemented
162C4×Dic236C2211yescharacteristic, complemented
163C4×Dic236C2211yescharacteristic, complemented
164C4×#11745660C2211yescharacteristic
165C4×#11745660C2211yescharacteristic
166C4×#11745660C2211yescharacteristic
167C4×#11745660C2211yescharacteristic
168C4×#11745660C2211yescharacteristic
169C4×#11745660C2211yescharacteristic, complemented
170C4×#11745660C2211yescharacteristic, complemented
171C4×#11745660C2211yescharacteristic, complemented
172C4×#11745660C2211yescharacteristic, complemented
173C4×#11745660C2211yescharacteristic, complemented
174C4×D472C2211yescharacteristic
175C4×D472C2211yescharacteristic
176C4×D472C2211yescharacteristic
177C4×D472C2211yescharacteristic
178C4×D472C2211yescharacteristic
179#16837444C2211yescharacteristic
180#16837444C2211yescharacteristic, complemented
181#16837440C2211yescharacteristic, complemented
182#16837412C2211yescharacteristic, complemented
183#16837408C2211yescharacteristic
184#16837404C2211yescharacteristic
185#16837404C2211yescharacteristic
186#16837399C2211yescharacteristic
187#16837399C2211yescharacteristic, complemented
188C4×#41×C59C2211yescharacteristic
189C59×#446C2211yescharacteristic, complemented
190C59×#446C2211yescharacteristic, complemented
191C59×#436C2211yescharacteristic
192C59×#436C2211yescharacteristic
193C59×#435C2211yescharacteristic
194C59×#435C2211yescharacteristic
195C59×#435C2211yescharacteristic, complemented
196C59×#435C2211yescharacteristic, complemented
197C59×#431C2211yescharacteristic
198C59×#431C2211yescharacteristic, complemented
199C59×#431C2211yescharacteristic, complemented
200C4×M16×C59C2211yescharacteristic
201C4×M16×C59C2211yescharacteristic, complemented
202C2×C4×C8×C59C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C22×Dic118C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×C4×D59—21no—
211#14273760—24no—
212#14273755—24no—
213#14273749—24no—
214C2×Dic236C2311yescharacteristic
215C2×Dic236C2311yescharacteristic
216C2×Dic236C2311yescharacteristic
217C2×Dic236C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×D472C2311yescharacteristic
227C2×D472C2311yescharacteristic
228C2×D472C2311yescharacteristic
229C2×D472C2311yescharacteristic
230#14273727C2311yescharacteristic
231#14273727C2311yescharacteristic
232#14273727C2311yescharacteristic
233#14273725—21no—
234#14273724C2311yescharacteristic
235#14273723—21no—
236#14273722—21no—
237#14273722—21no—
238#14273722—21no—
239#14273722—21no—
240#14273721—21no—
241#14273721—21no—
242#14273721—21no—
243#14273721—21no—
244#14273720—21no—
245#14273720—21no—
246#14273720—21no—
247#14273720—21no—
248#14273719—21no—
249#14273719C2311yescharacteristic
250#14273719C2311yescharacteristic
251#14273719C2311yescharacteristic
252#14273719C2311yescharacteristic
253#14273717—21no—
254#14273717—21no—
255#14273717—21no—
256#14273717—21no—
257#14273716—21no—
258#14273715—21no—
259#14273715C2311yescharacteristic
260#14273715C2311yescharacteristic
261#14273715C2311yescharacteristic
262#14273715C2311yescharacteristic
263#14273714—21no—
264#14273713—21no—
265#14273713—21no—
266#14273713—21no—
267#14273713—21no—
268#14273712—21no—
269#14273712—21no—
270#14273712—21no—
271#14273712—21no—
272#14273710—21no—
273#14273710—21no—
274#14273710—21no—
275#14273710—21no—
276#14273709—21no—
277#14273709—21no—
278#14273709—21no—
279#14273709—21no—
280#14273708—21no—
281#14273708—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#14273703—21no—
294#14273703—21no—
295#14273701—21no—
296#14273701C2311yescharacteristic
297#14273701C2311yescharacteristic
298#14273701C2311yescharacteristic
299#14273701C2311yescharacteristic
300#14273701C2311yescharacteristic
301#14273701C2311yescharacteristic
302#14273700—21no—
303#14273700—21no—
304#14273700—21no—
305#14273700—21no—
306#14273699—21no—
307#14273699—21no—
308#14273699—21no—
309#14273699—21no—
310#14273698—21no—
311#14273698—21no—
312#14273695—21no—
313#14273695—21no—
314C4×Dic118—21no—
315C4×Dic118—21no—
316C4×Dic118—21no—
317C4×Dic118C2311yescharacteristic
318C4×Dic118C2311yescharacteristic
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×D236C2311yescharacteristic
333C4×D236C2311yescharacteristic
334C4×D236C2311yescharacteristic
335C4×D236C2311yescharacteristic
336C4×D236C2311yescharacteristic
337C4×D236C2311yescharacteristic
338C4×D236C2311yescharacteristic
339C4×D236C2311yescharacteristic
340C4×D236C2311yescharacteristic
341C4×D236C2311yescharacteristic
342#14273689—21no—
343#14273689—21no—
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59—21no—
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360#14273686—21no—
361#14273686C2311yescharacteristic
362#14273686C2311yescharacteristic
363#14273686C2311yescharacteristic
364#14273686C2311yescharacteristic
365#14273685—21no—
366#14273685—21no—
367#14273684—21no—
368#14273684—21no—
369#14273684—21no—
370#14273684—21no—
371#14273684—21no—
372#14273684—21no—
373#14273684—21no—
374#14273684—21no—
375#14273683—21no—
376#14273683—21no—
377C2×C4⋊Dic59C2311yescharacteristic
378C2×C4⋊Dic59C2311yescharacteristic
379C2×Dic59⋊C4—21no—
380C4⋊C4×D59—21no—
381C4⋊C4×D59—21no—
382C2×(C2×D59)⋊C4—21no—
383C22⋊C4×D59—21no—
384C22⋊C4×D59—21no—
385C2×C4×Dic59—21no—
386C42×D59—21no—
387C42×D59—21no—
388C42×D59—21no—
389C42×D59—21no—
390#14273661C2311yescharacteristic
391#14273661C2311yescharacteristic
392#14273661C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273661C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273659C2311yescharacteristic
401#14273659C2311yescharacteristic
402#14273659C2311yescharacteristic
403#14273659C2311yescharacteristic
404#14273659C2311yescharacteristic
405#14273659C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273652C2311yescharacteristic
416#14273652C2311yescharacteristic
417#14273652C2311yescharacteristic
418#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—
482#41×C59—42no—
483C2×Q8×C59C2×D411yescharacteristic
484C2×D4×C59C2×D411yescharacteristic
485C2×D4×C59C2×D411yescharacteristic
486C2×D4×C59C2×D411yescharacteristic
487C22×C4×C59C2×D411yescharacteristic
488C22×C4×C59C2×D411yescharacteristic
489C22×C4×C59C2×D411yescharacteristic
490C22×C4×C59C2×D411yescharacteristic
491C22×C4×C59C2×D411yescharacteristic
492C22×C4×C59C2×D411yescharacteristic
493C22×C4×C59C2411yescharacteristic
494C22×C4×C59C2411yescharacteristic
495C22×C4×C59C2411yescharacteristic
496C2×C22⋊D59—21no—
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—
506C22×Dic59—21no—
507C22×Dic59—21no—
508C22×Dic59—21no—
509#11745685—22no—
510#11745685—22no—
511#11745685—22no—
512#11745685—22no—
513#11745685—41no—
514#11745685—41no—
515#11745685—41no—
516#11745685—41no—
517#11745685—44no—
518C2×D236—22no—
519C2×D236—21no—
520C2×D236—21no—
521C2×D236—21no—
522C2×D236—41no—
523C2×D236C2411yescharacteristic
524C2×D236C2411yescharacteristic
525C2×D236C2411yescharacteristic
526C2×D236C2411yescharacteristic
527C2×C4×D59—21no—
528C2×C4×D59—21no—
529C2×C4×D59—21no—
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—44no—
542C2×Dic118—22no—
543C2×Dic118—21no—
544C2×Dic118—21no—
545C2×Dic118—21no—
546C2×Dic118—41no—
547C2×Dic118C2411yescharacteristic
548C2×Dic118C2411yescharacteristic
549C2×Dic118C2411yescharacteristic
550C2×Dic118C2411yescharacteristic
551M16×C59—22no—
552M16×C59—22no—
553M16×C59—41no—
554M16×C59—41no—
555C2×C8×C59—22no—
556C2×C8×C59—41no—
557C2×C8×C59C2411yescharacteristic
558C2×C8×C59C2411yescharacteristic
559C2×C8×C59C2411yescharacteristic
560C2×C8×C59C2411yescharacteristic
561C2×C8×C59C2411yescharacteristic
562C2×C8×C59C2411yescharacteristic
563C2×C8×C59C2411yescharacteristic
564C2×C8×C59C2411yescharacteristic
565C4⋊C4×C59C2×D411yescharacteristic
566C4⋊C4×C59C2×D411yescharacteristic
567C4⋊C4×C59C2×D411yescharacteristic
568C4⋊C4×C59C2×D411yescharacteristic
569C4⋊C4×C59C2×D411yescharacteristic
570C4⋊C4×C59C2×D411yescharacteristic
571C22⋊C4×C59C2×D411yescharacteristic
572C22⋊C4×C59C2×D411yescharacteristic
573C22⋊C4×C59C2×D411yescharacteristic
574C22⋊C4×C59C2×D411yescharacteristic
575C22⋊C4×C59C2×D411yescharacteristic
576C22⋊C4×C59C2×D411yescharacteristic
577C42×C59C2×D411yescharacteristic
578C42×C59C2×D411yescharacteristic
579C42×C59C2×D411yescharacteristic
580C42×C59C2×D411yescharacteristic
581C42×C59C2×D411yescharacteristic
582C42×C59C2×D411yescharacteristic
583C42×C59C2411yescharacteristic
584C42×C59C2411yescharacteristic
585C42×C59C2411yescharacteristic
586C42×C59C2411yescharacteristic
587C22⋊Dic59—21no—
588C22⋊Dic59—21no—
589C22⋊Dic59—21no—
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597(C2×D59)⋊C4—21no—
598(C2×D59)⋊C4—21no—
599(C2×D59)⋊C4—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—
621C4⋊Dic59—21no—
622C4⋊Dic59—21no—
623C4⋊Dic59—21no—
624C4⋊Dic59—21no—
625C4⋊Dic59—21no—
626C4⋊Dic59—21no—
627C4⋊Dic59C2411yescharacteristic
628C4⋊Dic59C2411yescharacteristic
629C4⋊Dic59C2411yescharacteristic
630C4⋊Dic59C2411yescharacteristic
631C4⋊Dic59C2411yescharacteristic
632C4⋊Dic59C2411yescharacteristic
633C4⋊Dic59C2411yescharacteristic
634C4⋊Dic59C2411yescharacteristic
635Dic59⋊C4—21no—
636Dic59⋊C4—21no—
637Dic59⋊C4—21no—
638Dic59⋊C4—21no—
639Dic59⋊C4—21no—
640Dic59⋊C4—21no—
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4—21no—
644Dic59⋊C4—21no—
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659C4×Dic59—21no—
660C4×Dic59—21no—
661C4×Dic59—21no—
662C4×Dic59—21no—
663C4×Dic59—21no—
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673Dic236—22no—
674Dic236—22no—
675Dic236—22no—
676Dic236—41no—
677D472—22no—
678D472—22no—
679D472—22no—
680D472—41no—
681#11745660—22no—
682#11745660—22no—
683#11745660—22no—
684#11745660—41no—
685#11745660—41no—
686#11745660—41no—
687#11745660—41no—
688#11745660#4114yescomplemented
689C23×C59C22×D411yescharacteristic
690C23×C59C22×D411yescharacteristic
691C23×C59C22×D411yescharacteristic
692C22×D59—21no—
693C22×D59—21no—
694C22×D59—21no—
695C22×D59—21no—
696C22×D59—42no—
697C22×D59—42no—
698C22×D59—81no—
699Q8×C59—41no—
700D4×C59—41no—
701D4×C59—41no—
702D4×C59—41no—
703C2×C4×C59—22no—
704C2×C4×C59—22no—
705C2×C4×C59—22no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—41no—
713C2×C4×C59—41no—
714C2×C4×C59—41no—
715C2×C4×C59C22×D411yescharacteristic
716C2×C4×C59C22×D411yescharacteristic
717C2×C4×C59C22×D411yescharacteristic
718C2×C4×C59C22×D411yescharacteristic
719C2×C4×C59C22×D411yescharacteristic
720C2×C4×C59C22×D411yescharacteristic
721C2×C4×C59C22×D411yescharacteristic
722C2×C4×C59C22×D411yescharacteristic
723C2×C4×C59C22×D411yescharacteristic
724C2×C4×C59C22×D411yescharacteristic
725C2×C4×C59C22×D411yescharacteristic
726C2×C4×C59C2511yescharacteristic
727C22⋊D59—42no—
728C22⋊D59—42no—
729C22⋊D59—42no—
730C22⋊D59—42no—
731C22⋊D59—42no—
732C22⋊D59—42no—
733C22⋊D59—81no—
734C22⋊D59—81no—
735C22⋊D59—81no—
736C22⋊D59—81no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
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—42no—
750C2×Dic59—42no—
751C2×Dic59—81no—
752D236—21no—
753D236—21no—
754D236—21no—
755D236—21no—
756D236—21no—
757D236—21no—
758D236—21no—
759D236—42no—
760D236—42no—
761D236—81no—
762D236C2×#4112yes—
763C4×D59—42no—
764C4×D59—42no—
765C4×D59—42no—
766C4×D59—42no—
767C4×D59—42no—
768C4×D59—42no—
769C4×D59—42no—
770C4×D59—42no—
771C4×D59—42no—
772C4×D59—42no—
773C4×D59—81no—
774C4×D59—81no—
775C4×D59—81no—
776C4×D59—81no—
777Dic118—21no—
778Dic118—21no—
779Dic118—21no—
780Dic118—21no—
781Dic118—21no—
782Dic118—21no—
783Dic118—21no—
784Dic118—42no—
785Dic118—42no—
786Dic118—81no—
787Dic118C2×#4112yes—
788C8×C59—21no—
789C8×C59—21no—
790C8×C59—21no—
791C8×C59—21no—
792C8×C59—21no—
793C8×C59—21no—
794C8×C59—21no—
795C8×C59C2×#4112yes—
796#61441—591nomaximal, Sylow
797C22×C59—21no—
798C22×C59—21no—
799C22×C59—21no—
800C22×C59—21no—
801C22×C59—21no—
802C22×C59—21no—
803C22×C59—21no—
804C22×C59—21no—
805C22×C59—21no—
806C22×C59C23×D411yescharacteristic
807C2×D59—22no—
808C2×D59—41no—
809C2×D59—41no—
810C2×D59—41no—
811C2×D59—41no—
812C2×D59—41no—
813C2×D59—41no—
814C2×D59—41no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—84no—
820C4×C59—21no—
821C4×C59—21no—
822C4×C59—21no—
823C4×C59—21no—
824C4×C59—21no—
825C4×C59—21no—
826C4×C59—21no—
827C4×C59—21no—
828C4×C59—21no—
829C4×C59—21no—
830C4×C59#57512yes—
831C4×C59C22×#4111yescharacteristic
832C4×C59#58511yescharacteristic
833Dic59—22no—
834Dic59—41no—
835Dic59—41no—
836Dic59—41no—
837Dic59—41no—
838Dic59—41no—
839Dic59—41no—
840Dic59—41no—
841Dic59—41no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845#3480—591no—
846#3475—591no—
847#3401—591no—
848#3388—591no—
849#3377—591no—
850#3370—591no—
851#3351—591no—
852#3349—591no—
853#3347—591no—
854#3327—591no—
855#3322—591no—
856#3321—591no—
857#3317—591no—
858#3311—591no—
859#3307—591no—
860#3275—591no—
861#3269—591no—
862#3268—591no—
863#3172—591no—
864#3171—591no—
865#3168—591no—
866#3108—591no—
867#3107—591no—
868#3106—591no—
869#3105—591no—
870#3102—591no—
871#3102—591no—
872#2965D5911yescharacteristic, complemented
873C4×#137—591no—
874C4×AGL(1,ℤ/8)—591no—
875C4×#135—591no—
876C2×C59—41no—
877C2×C59—41no—
878C2×C59—41no—
879C2×C59D4×#4111yescharacteristic
880C2×C59C2×#57511yescharacteristic
881C2×C59#358411yescharacteristic
882D59—42no—
883D59—81no—
884D59—81no—
885D59—81no—
886C2×#137—591no—
887C2×AGL(1,ℤ/8)—591no—
888C2×#135—591no—
889#559—591no—
890#559—1181no—
891#557—591no—
892#556—591no—
893#556—591no—
894#556—1181no—
895#555—591no—
896#554—591no—
897#553—591no—
898#553—591no—
899#553—1181no—
900#553—1181no—
901#553—1181no—
902#552—591no—
903#552—591no—
904#552—1181no—
905#551—1181no—
906#551—1181no—
907#550—591no—
908#548—591no—
909#548—591no—
910#547—591no—
911#546—591no—
912#546—591no—
913#533—591no—
914#532—591no—
915#532—1181no—
916#529—591no—
917#529—591no—
918#529—591no—
919#529—591no—
920#529—1181no—
921#529—1181no—
922#529—1181no—
923#529—1181no—
924#525—1181no—
925C4×#41—591no—
926C4×#41—591no—
927C4×#41—591no—
928C4×#41—591no—
929C4×#41—1181no—
930C4×#41C2×D5911yescharacteristic
931C2×C4×Q8—591no—
932C2×C4×D4—591no—
933C2×#117—1181no—
934#501—591no—
935#501—591no—
936#499—591no—
937#497—591no—
938#496—591no—
939#495—591no—
940#491—591no—
941#490—591no—
942#489—591no—
943#489—591no—
944#488—591no—
945#488—591no—
946#485—591no—
947#485—591no—
948#485—591no—
949#485—591no—
950#484—591no—
951#483—591no—
952#482—591no—
953#482—591no—
954#482—591no—
955#482—591no—
956#481—591no—
957#480—591no—
958#479—591no—
959#479—591no—
960#479—591no—
961#479—591no—
962#478—591no—
963#478—591no—
964#478—591no—
965#478—591no—
966#477—591no—
967#476—591no—
968#475—591no—
969#474—591no—
970#470—591no—
971#470—591no—
972#469—591no—
973#469—591no—
974#468—591no—
975#468—591no—
976#468—591no—
977#468—591no—
978#467—591no—
979#466—591no—
980#465—591no—
981#465—591no—
982#464—591no—
983#464—591no—
984#464—591no—
985#464—591no—
986#463—591no—
987#463—591no—
988#463—591no—
989#463—591no—
990#462—591no—
991#461—591no—
992#460—591no—
993#459—591no—
994#452—591no—
995#452—591no—
996#452—591no—
997#452—591no—
998#451—591no—
999#450—591no—
1000#449—591no—
1001#449—591no—
1002#449—591no—
1003#449—591no—
1004#448—591no—
1005#447—591no—
1006#446C2×D5911yescharacteristic, complemented
1007#446C2×D5911yescharacteristic, complemented
1008#442—591no—
1009#442—591no—
1010#441—591no—
1011#441—591no—
1012#440—591no—
1013#440—591no—
1014#440—591no—
1015#440—591no—
1016C4×Q16—591no—
1017C4×Q16—591no—
1018C4×Q16—591no—
1019C4×Q16—591no—
1020C4×Q16—591no—
1021C4×SD16—591no—
1022C4×SD16—591no—
1023C4×SD16—591no—
1024C4×SD16—591no—
1025C4×SD16—591no—
1026C4×SD16—591no—
1027C4×SD16—591no—
1028C4×SD16—591no—
1029C4×SD16—591no—
1030C4×SD16—591no—
1031C4×D8—591no—
1032C4×D8—591no—
1033C4×D8—591no—
1034C4×D8—591no—
1035C4×D8—591no—
1036#436C2×D5911yescharacteristic
1037#436C2×D5911yescharacteristic
1038#435C2×D5911yescharacteristic
1039#435C2×D5911yescharacteristic
1040#435C2×D5911yescharacteristic, complemented
1041#435C2×D5911yescharacteristic, complemented
1042#431C2×D5911yescharacteristic
1043#431C2×D5911yescharacteristic, complemented
1044#431C2×D5911yescharacteristic, complemented
1045#428—591no—
1046#428—591no—
1047#427—591no—
1048#419—591no—
1049#418—591no—
1050#417—591no—
1051#417—591no—
1052#416—591no—
1053#416—591no—
1054C4×M16C2×D5911yescharacteristic
1055C4×M16C2×D5911yescharacteristic, complemented
1056C2×C4×C8C2×D5911yescharacteristic, complemented
1057C59#6144111yescharacteristic, complemented, Sylow
1058C2×#41—591no—
1059C2×#41—591no—
1060C2×#41—591no—
1061C2×#41—591no—
1062C2×#41—1181no—
1063C2×#41D23611yescharacteristic
1064C22×Q8—591no—
1065C22×D4—591no—
1066C23×C4—1181no—
1067#137—1184no—
1068AGL(1,ℤ/8)—1184no—
1069#135—1184no—
1070C2×Q16—591no—
1071C2×Q16—591no—
1072C2×Q16—591no—
1073C2×Q16—591no—
1074C2×SD16—591no—
1075C2×SD16—591no—
1076C2×SD16—591no—
1077C2×SD16—591no—
1078C2×SD16—591no—
1079C2×SD16—591no—
1080C2×SD16—591no—
1081C2×SD16—591no—
1082C2×D8—591no—
1083C2×D8—591no—
1084C2×D8—591no—
1085C2×D8—591no—
1086C2×M16C22×D5911yescharacteristic
1087C2×M16C22×D5911yescharacteristic
1088C2×M16C22×D5911yescharacteristic
1089C2×M16C22×D5911yescharacteristic
1090C22×C8C22×D5911yescharacteristic
1091C22×C8C22×D5911yescharacteristic
1092C4⋊Q8—591no—
1093C4⋊Q8—591no—
1094C4⋊Q8—591no—
1095C4⋊Q8—1181no—
1096#127—591no—
1097#127—1181no—
1098#126—1181no—
1099#126—1181no—
1100#126—1181no—
1101#126—1181no—
1102#126—1181no—
1103#126—1181no—
1104#126—1181no—
1105#126—1181no—
1106#126—1181no—
1107#126—1181no—
1108#126—1181no—
1109#126—1181no—
1110#125—591no—
1111#125—591no—
1112#125—591no—
1113#125—591no—
1114#125—1181no—
1115#125—1181no—
1116#125—1181no—
1117#125—1181no—
1118#125—1181no—
1119#124—591no—
1120#124—591no—
1121#124—591no—
1122#124—591no—
1123#124—1181no—
1124#124—1181no—
1125#124—1181no—
1126#124—1181no—
1127#124—1181no—
1128#124—1181no—
1129#124—1181no—
1130#123—1181no—
1131#123—1181no—
1132#123—1181no—
1133#123—1181no—
1134#123—1181no—
1135#123—1181no—
1136#123—1181no—
1137#123—1181no—
1138#123—1181no—
1139#123—1181no—
1140#123—1181no—
1141#123—1181no—
1142#123—1181no—
1143#123—1181no—
1144C22⋊Q8—591no—
1145C22⋊Q8—591no—
1146C22⋊Q8—591no—
1147C22⋊Q8—591no—
1148C22⋊Q8—591no—
1149C22⋊Q8—591no—
1150C22⋊Q8—1181no—
1151C22⋊Q8—1181no—
1152C22⋊Q8—1181no—
1153C22⋊Q8—1181no—
1154C22⋊Q8—1181no—
1155C22⋊Q8—1181no—
1156C22⋊Q8—1181no—
1157#121—591no—
1158#121—591no—
1159#121—591no—
1160#121—591no—
1161#121—591no—
1162#121—591no—
1163#121—1181no—
1164#121—1181no—
1165#121—1181no—
1166#121—1181no—
1167#121—1181no—
1168#121—1181no—
1169#121—1181no—
1170#121—1181no—
1171#121—1181no—
1172#121—1181no—
1173#121—1181no—
1174#120—1181no—
1175#120—1181no—
1176C4×Q8—591no—
1177C4×Q8—591no—
1178C4×Q8—591no—
1179C4×Q8—591no—
1180C4×Q8—591no—
1181C4×Q8—591no—
1182C4×Q8—591no—
1183C4×Q8—591no—
1184C4×Q8—591no—
1185C4×Q8—591no—
1186C4×Q8—1181no—
1187C4×Q8—1181no—
1188C4×Q8—1181no—
1189C4×Q8—1181no—
1190C4×Q8—1181no—
1191C4×Q8D23611yescharacteristic
1192C4×Q8C22×D5911yescharacteristic
1193C4×D4—591no—
1194C4×D4—591no—
1195C4×D4—591no—
1196C4×D4—591no—
1197C4×D4—591no—
1198C4×D4—591no—
1199C4×D4—591no—
1200C4×D4—591no—
1201C4×D4—591no—
1202C4×D4—591no—
1203C4×D4—1181no—
1204C4×D4—1181no—
1205C4×D4—1181no—
1206C4×D4—1181no—
1207C4×D4—1181no—
1208C4×D4—1181no—
1209C4×D4—1181no—
1210C4×D4—1181no—
1211C4×D4—1181no—
1212C4×D4—1181no—
1213C4×D4—1181no—
1214C4×D4—1181no—
1215C4×D4—1181no—
1216C4×D4—1181no—
1217C4×D4—1181no—
1218C4×D4—1181no—
1219C4×D4—1181no—
1220C4×D4—1181no—
1221C4×D4—1181no—
1222C4×D4—1181no—
1223C4×D4—1181no—
1224C4×D4D23611yescharacteristic
1225C4×D4D23611yescharacteristic
1226C4×D4D23611yescharacteristic
1227C4×D4C22×D5911yescharacteristic
1228C4×D4C22×D5911yescharacteristic
1229C4×D4C22×D5911yescharacteristic
1230#117—591no—
1231#117—591no—
1232#117—591no—
1233#117—591no—
1234#117—1181no—
1235#117—1181no—
1236#117—1181no—
1237#117—1181no—
1238#117—1181no—
1239#117—1181no—
1240#117—1181no—
1241#117—1181no—
1242#117—1181no—
1243#117—1181no—
1244#117—1181no—
1245#117—1181no—
1246#117—1181no—
1247#117D23611yescharacteristic
1248#117D23611yescharacteristic
1249#117D23611yescharacteristic
1250C2×C4⋊C4—591no—
1251C2×C4⋊C4—591no—
1252C2×C4⋊C4—1181no—
1253C2×C4⋊C4—1181no—
1254C2×C4⋊C4—1181no—
1255C2×C22⋊C4—1181no—
1256C2×C22⋊C4—1181no—
1257C2×C22⋊C4—1181no—
1258C2×C42—1181no—
1259C2×C42—1181no—
1260C2×C42—1181no—
1261C2×C42—1181no—
1262C2×C42—1181no—
1263C2×C42C22×D5911yescharacteristic
1264C2×C42C22×D5911yescharacteristic
1265C2×C42C22×D5911yescharacteristic
1266#107—591no—
1267#107—591no—
1268#107—591no—
1269#107—591no—
1270#107—591no—
1271#107—591no—
1272#107—591no—
1273#107—591no—
1274#106—591no—
1275#106—591no—
1276#106—591no—
1277#106—591no—
1278#106—591no—
1279#106—591no—
1280#106—591no—
1281#106—591no—
1282C4⋊C8C22×D5911yescharacteristic
1283C4⋊C8C22×D5911yescharacteristic
1284C4⋊C8C22×D5911yescharacteristic
1285C4⋊C8C22×D5911yescharacteristic
1286C4⋊C8C22×D5911yescharacteristic
1287C4⋊C8C22×D5911yescharacteristic
1288#103—591no—
1289#103—591no—
1290#103—591no—
1291#103—591no—
1292#103—591no—
1293#103—591no—
1294#103—591no—
1295#103—591no—
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103—591no—
1300#103—591no—
1301#103—591no—
1302#103—591no—
1303#103—591no—
1304#102—591no—
1305#102—591no—
1306#102—591no—
1307#102—591no—
1308#102—591no—
1309#102—591no—
1310#102—591no—
1311#102—591no—
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102—591no—
1316#102—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320C22⋊C8C22×D5911yescharacteristic
1321C22⋊C8C22×D5911yescharacteristic
1322C22⋊C8C22×D5911yescharacteristic
1323C22⋊C8C22×D5911yescharacteristic
1324C22⋊C8C22×D5911yescharacteristic
1325C22⋊C8C22×D5911yescharacteristic
1326#97C22×D5911yescharacteristic
1327#97C22×D5911yescharacteristic
1328#97C22×D5911yescharacteristic
1329#97C22×D5911yescharacteristic
1330C4×C8C22×D5911yescharacteristic
1331C4×C8C22×D5911yescharacteristic
1332C4×C8C22×D5911yescharacteristic
1333C4×C8C22×D5911yescharacteristic
1334C4×C8C22×D5911yescharacteristic
1335C4×C8C22×D5911yescharacteristic
1336C24—1181no—
1337#41—42no—
1338#41—1182no—
1339#41—1182no—
1340#41—1182no—
1341#41—1182no—
1342#41—2361no—
1343#41—2361no—
1344#41—2361no—
1345#41—2361no—
1346#41—2364no—
1347C2×Q8—591no—
1348C2×Q8—591no—
1349C2×Q8—591no—
1350C2×Q8—591no—
1351C2×Q8—1182no—
1352C2×Q8—1181no—
1353C2×Q8—1181no—
1354C2×Q8—1181no—
1355C2×Q8—2361no—
1356C2×Q8C2×D23611yescharacteristic
1357C2×D4—591no—
1358C2×D4—591no—
1359C2×D4—591no—
1360C2×D4—591no—
1361C2×D4—1182no—
1362C2×D4—1181no—
1363C2×D4—1181no—
1364C2×D4—1181no—
1365C2×D4—1181no—
1366C2×D4—1181no—
1367C2×D4—1181no—
1368C2×D4—1181no—
1369C2×D4—1181no—
1370C2×D4—1181no—
1371C2×D4—1181no—
1372C2×D4—1181no—
1373C2×D4—1181no—
1374C2×D4—1181no—
1375C2×D4—2361no—
1376C2×D4C2×D23611yescharacteristic
1377C2×D4C2×D23611yescharacteristic
1378C2×D4C2×D23611yescharacteristic
1379C22×C4—1181no—
1380C22×C4—1181no—
1381C22×C4—1181no—
1382C22×C4—1181no—
1383C22×C4—1181no—
1384C22×C4—1181no—
1385C22×C4—1181no—
1386C22×C4—1181no—
1387C22×C4—1181no—
1388C22×C4—1181no—
1389C22×C4—1181no—
1390C22×C4—1181no—
1391C22×C4—1181no—
1392C22×C4—1181no—
1393C22×C4—1181no—
1394C22×C4—1181no—
1395C22×C4—1181no—
1396C22×C4—2364no—
1397C22×C4C2×D23611yescharacteristic
1398C22×C4C2×D23611yescharacteristic
1399C22×C4C2×D23611yescharacteristic
1400C22×C4C2×D23611yescharacteristic
1401C22×C4C2×D23611yescharacteristic
1402C22×C4C2×D23611yescharacteristic
1403C22×C4C23×D5911yescharacteristic
1404C22×C4C23×D5911yescharacteristic
1405C22×C4C23×D5911yescharacteristic
1406Q16—1182no—
1407Q16—1182no—
1408Q16—1182no—
1409Q16—2361no—
1410SD16—594no—
1411SD16—1182no—
1412SD16—1182no—
1413SD16—1182no—
1414SD16—2361no—
1415SD16—2361no—
1416SD16—2361no—
1417SD16—2361no—
1418D8—1182no—
1419D8—1182no—
1420D8—1182no—
1421D8—2361no—
1422M16—22no—
1423M16—22no—
1424M16—41no—
1425M16—41no—
1426C2×C8—22no—
1427C2×C8—41no—
1428C2×C8C23×D5911yescharacteristic
1429C2×C8C23×D5911yescharacteristic
1430C2×C8C23×D5911yescharacteristic
1431C2×C8C23×D5911yescharacteristic
1432C2×C8C23×D5911yescharacteristic
1433C2×C8C23×D5911yescharacteristic
1434C2×C8C23×D5911yescharacteristic
1435C2×C8C23×D5911yescharacteristic
1436C4⋊C4—591no—
1437C4⋊C4—591no—
1438C4⋊C4—591no—
1439C4⋊C4—591no—
1440C4⋊C4—591no—
1441C4⋊C4—591no—
1442C4⋊C4—591no—
1443C4⋊C4—591no—
1444C4⋊C4—1181no—
1445C4⋊C4—1181no—
1446C4⋊C4—1181no—
1447C4⋊C4—1181no—
1448C4⋊C4—1181no—
1449C4⋊C4—1181no—
1450C4⋊C4—1181no—
1451C4⋊C4—1181no—
1452C4⋊C4—1181no—
1453C4⋊C4—1181no—
1454C4⋊C4—1181no—
1455C4⋊C4—1181no—
1456C4⋊C4—1181no—
1457C4⋊C4—1181no—
1458C4⋊C4—1181no—
1459C4⋊C4—1181no—
1460C4⋊C4—1181no—
1461C4⋊C4—1181no—
1462C4⋊C4—1181no—
1463C4⋊C4—1181no—
1464C4⋊C4—1181no—
1465C4⋊C4—1181no—
1466C4⋊C4—1181no—
1467C4⋊C4—1181no—
1468C4⋊C4—1181no—
1469C4⋊C4—1181no—
1470C4⋊C4—1181no—
1471C4⋊C4—1181no—
1472C4⋊C4—1181no—
1473C4⋊C4—1181no—
1474C4⋊C4C2×D23611yescharacteristic
1475C4⋊C4C2×D23611yescharacteristic
1476C4⋊C4C2×D23611yescharacteristic
1477C4⋊C4C2×D23611yescharacteristic
1478C4⋊C4C2×D23611yescharacteristic
1479C4⋊C4C2×D23611yescharacteristic
1480C22⋊C4—1181no—
1481C22⋊C4—1181no—
1482C22⋊C4—1181no—
1483C22⋊C4—1181no—
1484C22⋊C4—1181no—
1485C22⋊C4—1181no—
1486C22⋊C4—1181no—
1487C22⋊C4—1181no—
1488C22⋊C4—1181no—
1489C22⋊C4—1181no—
1490C22⋊C4—1181no—
1491C22⋊C4—1181no—
1492C22⋊C4—1181no—
1493C22⋊C4—1181no—
1494C22⋊C4—1181no—
1495C22⋊C4—1181no—
1496C22⋊C4—1181no—
1497C22⋊C4—1181no—
1498C22⋊C4—1181no—
1499C22⋊C4—1181no—
1500C22⋊C4—1181no—
1501C22⋊C4—1181no—
1502C22⋊C4—1181no—
1503C22⋊C4—1181no—
1504C22⋊C4—1181no—
1505C22⋊C4—1181no—
1506C22⋊C4—1181no—
1507C22⋊C4—1181no—
1508C22⋊C4—1181no—
1509C22⋊C4—1181no—
1510C22⋊C4—1181no—
1511C22⋊C4—1181no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
1514C22⋊C4C2×D23611yescharacteristic
1515C22⋊C4C2×D23611yescharacteristic
1516C22⋊C4C2×D23611yescharacteristic
1517C22⋊C4C2×D23611yescharacteristic
1518C22⋊C4C2×D23611yescharacteristic
1519C22⋊C4C2×D23611yescharacteristic
1520C42—1181no—
1521C42—1181no—
1522C42—1181no—
1523C42—1181no—
1524C42—1181no—
1525C42—1181no—
1526C42—1181no—
1527C42—1181no—
1528C42—1181no—
1529C42—1181no—
1530C42—1181no—
1531C42—1181no—
1532C42—1181no—
1533C42—1181no—
1534C42C2×D23611yescharacteristic
1535C42C2×D23611yescharacteristic
1536C42C2×D23611yescharacteristic
1537C42C2×D23611yescharacteristic
1538C42C2×D23611yescharacteristic
1539C42C2×D23611yescharacteristic
1540C42C23×D5911yescharacteristic
1541C42C23×D5911yescharacteristic
1542C42C23×D5911yescharacteristic
1543C42C23×D5911yescharacteristic
1544C23—1181no—
1545C23—1181no—
1546C23—1181no—
1547C23—1181no—
1548C23—4721no—
1549C23—2362no—
1550C23—2362no—
1551C23C22×D23611yescharacteristic
1552C23C22×D23611yescharacteristic
1553C23C22×D23611yescharacteristic
1554Q8—41no—
1555Q8—592no—
1556Q8—1181no—
1557Q8—1181no—
1558Q8—1181no—
1559Q8—1181no—
1560Q8—1181no—
1561Q8—1181no—
1562Q8—1181no—
1563Q8—4721no—
1564Q8—2362no—
1565Q8—2362no—
1566D4—41no—
1567D4—41no—
1568D4—41no—
1569D4—592no—
1570D4—1181no—
1571D4—1181no—
1572D4—1181no—
1573D4—1181no—
1574D4—1181no—
1575D4—1181no—
1576D4—1181no—
1577D4—4721no—
1578D4—4721no—
1579D4—4721no—
1580D4—4721no—
1581D4—4721no—
1582D4—2362no—
1583D4—2362no—
1584D4—2362no—
1585D4—2362no—
1586D4—2362no—
1587D4—2362no—
1588D4—2362no—
1589D4—2362no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—1181no—
1603C2×C4—1181no—
1604C2×C4—1181no—
1605C2×C4—1181no—
1606C2×C4—1181no—
1607C2×C4—1181no—
1608C2×C4—1181no—
1609C2×C4—1181no—
1610C2×C4—1181no—
1611C2×C4—1181no—
1612C2×C4—1181no—
1613C2×C4—1181no—
1614C2×C4—4721no—
1615C2×C4—4721no—
1616C2×C4—4721no—
1617C2×C4—4721no—
1618C2×C4—4721no—
1619C2×C4—2362no—
1620C2×C4—2362no—
1621C2×C4—2362no—
1622C2×C4—2362no—
1623C2×C4—2362no—
1624C2×C4—2362no—
1625C2×C4—2362no—
1626C2×C4—2362no—
1627C2×C4—2362no—
1628C2×C4—2362no—
1629C2×C4—2362no—
1630C2×C4—2362no—
1631C2×C4C22×D23611yescharacteristic
1632C2×C4C22×D23611yescharacteristic
1633C2×C4C22×D23611yescharacteristic
1634C2×C4C22×D23611yescharacteristic
1635C2×C4C22×D23611yescharacteristic
1636C2×C4C22×D23611yescharacteristic
1637C2×C4C22×D23611yescharacteristic
1638C2×C4C22×D23611yescharacteristic
1639C2×C4C22×D23611yescharacteristic
1640C2×C4C22×D23611yescharacteristic
1641C2×C4C22×D23611yescharacteristic
1642C2×C4C24×D5911yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—21no—
1649C8—21no—
1650C8#41×D5912yes—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—1182no—
1661C22—4724no—
1662C22—2361no—
1663C22—2361no—
1664C22—2361no—
1665C22—2361no—
1666C22—2361no—
1667C22—2361no—
1668C22—2361no—
1669C22—2361no—
1670C22—2361no—
1671C22—2361no—
1672C22—2361no—
1673C22C23×D23611yescharacteristic
1674C4—21no—
1675C4—21no—
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—1182no—
1685C4—2361no—
1686C4—2361no—
1687C4—2361no—
1688C4—2361no—
1689C4—2361no—
1690C4—2361no—
1691C4—2361no—
1692C4—2361no—
1693C4—2361no—
1694C4—2361no—
1695C4—2361no—
1696C4#1683820212yes—
1697C4C2×#41×D5911yescharacteristic
1698C4#1683823811yescharacteristic
1699C2—41no—
1700C2—41no—
1701C2—41no—
1702C2—4721no—
1703C2—4721no—
1704C2—4721no—
1705C2—2362no—
1706C2#41×D23611yescharacteristic
1707C2C2×#1683820211yescharacteristic
1708C2#2143887011yescharacteristic
subgroupG/H
centerC2×C4C22×D236
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#2965C2
socleC22×C59C23×D4
hypercenter#2965D59
hypocenterC59#61441
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. #21437689C2semidirect
2. #21437660C2semidirect
3. #21437164C2semidirect
4. #21437043C2semidirect
5. #21436940C2semidirect
6. #21436851C2semidirect
7. #21436658C2semidirect
8. #21436628C2semidirect
9. #21436598C2semidirect
10. #21436366C2semidirect
11. #21436299C2semidirect
12. #21436284C2semidirect
13. #21436224C2semidirect
14. #21436134C2semidirect
15. #21436074C2semidirect
16. #21435732C2semidirect
17. #21435656C2semidirect
18. #21435641C2semidirect
19. #21434702C2semidirect
20. #21434691C2semidirect
21. #21434666C2semidirect
22. #21434178C2semidirect
23. #21434168C2semidirect
24. #21434157C2semidirect
25. #21434145C2semidirect
26. #21434116C2semidirect
27. #21434116C2semidirect
28. C4×#14273760C2semidirect
29. C4×#14273755C2semidirect
30. C4×#14273749C2semidirect
31. C59×#2965C2semidirect
35. #16838137C22semidirect
37. #16838130C22semidirect
47. #16838098C22semidirect
55. #16838061C22semidirect
60. #16837952C22semidirect
65. #16837936C22semidirect
74. C4×#11745685C22semidirect
76. C2×C4×Dic118C22semidirect
79. #16837811C22semidirect
80. #16837811C22semidirect
81. #16837804C22semidirect
82. #16837796C22semidirect
85. #16837771C22semidirect
86. #16837767C22semidirect
88. #16837762C22semidirect
90. #16837757C22semidirect
93. #16837744C22semidirect
94. #16837744C22semidirect
96. #16837733C22semidirect
98. #16837727C22semidirect
99. #16837727C22semidirect
100. #16837727C22semidirect
103. #16837710C22semidirect
104. #16837710C22semidirect
105. #16837710C22semidirect
106. #16837710C22semidirect
110. #16837703C22semidirect
111. #16837698C22semidirect
113. #16837688C22semidirect
114. #16837683C22semidirect
121. #16837648C22semidirect
122. #16837648C22semidirect
123. #16837643C22semidirect
126. #16837631C22semidirect
130. #16837625C22semidirect
135. #16837613C22semidirect
136. #16837608C22semidirect
137. #16837603C22semidirect
142. #16837566C22semidirect
143. #16837560C22semidirect
153. #16837510C22semidirect
154. #16837510C22semidirect
159. C4×Dic236C22semidirect
160. C4×Dic236C22semidirect
161. C4×Dic236C22semidirect
162. C4×Dic236C22semidirect
163. C4×Dic236C22semidirect
169. C4×#11745660C22semidirect
170. C4×#11745660C22semidirect
171. C4×#11745660C22semidirect
172. C4×#11745660C22semidirect
173. C4×#11745660C22semidirect
180. #16837444C22semidirect
181. #16837440C22semidirect
182. #16837412C22semidirect
187. #16837399C22semidirect
189. C59×#446C22semidirect
190. C59×#446C22semidirect
195. C59×#435C22semidirect
196. C59×#435C22semidirect
198. C59×#431C22semidirect
199. C59×#431C22semidirect
201. C4×M16×C59C22semidirect
202. C2×C4×C8×C59C22semidirect
688. #11745660#41semidirect
872. #2965D59semidirect
1006. #446C2×D59semidirect
1007. #446C2×D59semidirect
1040. #435C2×D59semidirect
1041. #435C2×D59semidirect
1043. #431C2×D59semidirect
1044. #431C2×D59semidirect
1055. C4×M16C2×D59semidirect
1056. C2×C4×C8C2×D59semidirect
1057. C59#61441semidirect

Maximal subgroups

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

subgroupindex
#214376892
#214376602
#214371642
#214370432
#214369402
#214368512
#214366582
#214366282
#214365982
#214363662
#214362992
#214362842
#214362242
#214361342
#214360742
#214357322
#214356562
#214356412
#214347022
#214346912
#214346662
#214341782
#214341682
#214341572
#214341452
#214341162
C4×#142737602
C4×#142737552
C4×#142737492
C59×#29652
#6144159