Finite Group Databasebeta

← #29470716

Subgroups — #29470716

Order 15104.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437711C211yesmaximal, characteristic, complemented
2#21437660C211yesmaximal, characteristic, complemented
3#21437177C211yesmaximal, characteristic, complemented
4#21437043C211yesmaximal, characteristic, complemented
5#21436940C211yesmaximal, characteristic, complemented
6#21436925C211yesmaximal, characteristic, complemented
7#21436613C211yesmaximal, characteristic, complemented
8#21436538C211yesmaximal, characteristic, complemented
9#21436465C211yesmaximal, characteristic, complemented
10#21436284C211yesmaximal, characteristic, complemented
11#21436194C211yesmaximal, characteristic, complemented
12#21436149C211yesmaximal, characteristic, complemented
13#21436059C211yesmaximal, characteristic, complemented
14#21435985C211yesmaximal, characteristic, complemented
15#21435933C211yesmaximal, characteristic, complemented
16#21435808C211yesmaximal, characteristic, complemented
17#21435656C211yesmaximal, characteristic, complemented
18#21435611C211yesmaximal, characteristic, complemented
19#21434825C211yesmaximal, characteristic, complemented
20#21434805C211yesmaximal, characteristic, complemented
21#21434805C211yesmaximal, characteristic, complemented
22#21434269C211yesmaximal, characteristic, complemented
23#21434259C211yesmaximal, characteristic, complemented
24#21434236C211yesmaximal, characteristic, complemented
25#21434227C211yesmaximal, characteristic, complemented
26#21434207C211yesmaximal, characteristic, complemented
27#21434207C211yesmaximal, characteristic, complemented
28C4×#14273760C211yesmaximal, characteristic, complemented
29#21432898C211yesmaximal, characteristic, complemented
30C2×#16837504C211yesmaximal, characteristic, complemented
31C59×#2970C211yesmaximal, characteristic, complemented
32C2×#14273760C2211yescharacteristic
33C2×#14273749C2211yescharacteristic
34C22×#11745660C2211yescharacteristic
35#16838130C2211yescharacteristic, complemented
36#16838125C2211yescharacteristic
37#16838125C2211yescharacteristic, complemented
38#16838120—21no—
39#16838117C2211yescharacteristic
40#16838112C2211yescharacteristic
41#16838102—21no—
42#16838093—21no—
43#16838092C2211yescharacteristic
44#16838092C2211yescharacteristic
45#16838092C2211yescharacteristic
46#16838092C2211yescharacteristic, complemented
47#16838085—21no—
48#16838085—21no—
49#16838081—21no—
50#16838081—21no—
51D4×Dic118C2211yescharacteristic
52#16838061C2211yescharacteristic
53#16838061C2211yescharacteristic, complemented
54#16838057C2211yescharacteristic
55#16838056C2211yescharacteristic
56#16838051—21no—
57#16838048C2211yescharacteristic
58#16838048C2211yescharacteristic
59#16837959C2211yescharacteristic
60#16837959C2211yescharacteristic, complemented
61#16837956—21no—
62#16837936C2211yescharacteristic
63#16837936C2211yescharacteristic
64#16837936C2211yescharacteristic
65#16837936C2211yescharacteristic, complemented
66#16837932—21no—
67#16837932—21no—
68#16837930—21no—
69#16837930—21no—
70#16837909—21no—
71C4×#11745685C2211yescharacteristic
72C4×#11745685C2211yescharacteristic
73C4×#11745685C2211yescharacteristic, complemented
74C4×#11745687—21no—
75C2×C4×Dic118C2211yescharacteristic
76C2×C4×Dic118C2211yescharacteristic, complemented
77C2×C4×D236C2211yescharacteristic
78#117×D59—21no—
79#16837811C2211yescharacteristic, complemented
80#16837811C2211yescharacteristic, complemented
81#16837804C2211yescharacteristic, complemented
82#16837796C2211yescharacteristic
83#16837796C2211yescharacteristic, complemented
84#16837786C2211yescharacteristic
85#16837771C2211yescharacteristic, complemented
86#16837771C2211yescharacteristic, complemented
87#16837762C2211yescharacteristic
88#16837762C2211yescharacteristic, complemented
89#16837757C2211yescharacteristic
90#16837757C2211yescharacteristic, complemented
91#16837744C2211yescharacteristic, complemented
92#16837744C2211yescharacteristic, complemented
93#16837744C2211yescharacteristic, complemented
94#16837744C2211yescharacteristic, complemented
95#16837738C2211yescharacteristic, complemented
96#16837733C2211yescharacteristic
97#16837733C2211yescharacteristic
98#16837733C2211yescharacteristic
99#16837727C2211yescharacteristic
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#16837688C2211yescharacteristic, complemented
115#16837660C2211yescharacteristic, complemented
116#16837655C2211yescharacteristic
117#16837648C2211yescharacteristic
118#16837648C2211yescharacteristic, complemented
119#16837643C2211yescharacteristic
120#16837643C2211yescharacteristic
121#16837643C2211yescharacteristic, complemented
122#16837643C2211yescharacteristic, complemented
123#16837631C2211yescharacteristic
124#16837631C2211yescharacteristic
125#16837631C2211yescharacteristic
126#16837631C2211yescharacteristic
127#16837625C2211yescharacteristic
128#16837625C2211yescharacteristic
129#16837625C2211yescharacteristic
130#16837625C2211yescharacteristic, complemented
131#16837618C2211yescharacteristic
132#16837618C2211yescharacteristic
133#16837618C2211yescharacteristic
134#16837618C2211yescharacteristic
135#16837613C2211yescharacteristic, complemented
136#16837613C2211yescharacteristic, complemented
137#16837613C2211yescharacteristic, complemented
138#16837608C2211yescharacteristic
139#16837566C2211yescharacteristic
140#16837566C2211yescharacteristic
141#16837566C2211yescharacteristic
142#16837566C2211yescharacteristic, complemented
143#16837560C2211yescharacteristic
144#16837560C2211yescharacteristic
145#16837560C2211yescharacteristic, complemented
146#16837555C2211yescharacteristic
147#16837549C2211yescharacteristic
148#16837549C2211yescharacteristic
149#16837543C2211yescharacteristic
150#16837538C2211yescharacteristic
151#16837515C2211yescharacteristic
152#16837515C2211yescharacteristic
153#16837515C2211yescharacteristic
154#16837510C2211yescharacteristic, complemented
155#16837510C2211yescharacteristic, complemented
156#16837510C2211yescharacteristic, complemented
157#16837510C2211yescharacteristic, complemented
158#16837510C2211yescharacteristic, complemented
159#16837510C2211yescharacteristic, complemented
160#16837510C2211yescharacteristic, complemented
161#16837504C2211yescharacteristic
162#16837504C2211yescharacteristic
163#16837504C2211yescharacteristic
164#16837504C2211yescharacteristic
165#16837504C2211yescharacteristic
166#16837504C2211yescharacteristic
167#16837504C2211yescharacteristic
168#16837504C2211yescharacteristic
169#16837504C2211yescharacteristic
170#16837504C2211yescharacteristic
171#16837504C2211yescharacteristic
172#16837504C2211yescharacteristic, complemented
173#16837504C2211yescharacteristic, complemented
174#16837504C2211yescharacteristic, complemented
175C4×Dic236C2211yescharacteristic, complemented
176C4×Dic236C2211yescharacteristic, complemented
177C4×#11745660C2211yescharacteristic
178C4×#11745660C2211yescharacteristic
179#16837444C2211yescharacteristic, complemented
180#16837440C2211yescharacteristic, complemented
181C2×#14273661C2211yescharacteristic
182#16837412C2211yescharacteristic, complemented
183#16837404C2211yescharacteristic
184#16837399C2211yescharacteristic
185#16837399C2211yescharacteristic, complemented
186C2×#14273652C2211yescharacteristic
187C2×#14273649C2211yescharacteristic
188C4×#41×C59C2211yescharacteristic
189C59×#446C2211yescharacteristic, complemented
190C59×#446C2211yescharacteristic, complemented
191C59×#435C2211yescharacteristic
192C59×#435C2211yescharacteristic
193C59×#435C2211yescharacteristic, complemented
194C59×#435C2211yescharacteristic, complemented
195C8×D4×C59C2211yescharacteristic
196C8×D4×C59C2211yescharacteristic
197C59×#432C2211yescharacteristic
198C59×#432C2211yescharacteristic, complemented
199C59×#432C2211yescharacteristic, complemented
200C4×M16×C59C2211yescharacteristic, complemented
201C2×#97×C59C2211yescharacteristic
202C2×#97×C59C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C22×Dic118C2311yescharacteristic
208C22×Dic118C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×C4×D59—21no—
211#14273760—24no—
212#14273749—24no—
213C2×Dic236C2311yescharacteristic
214C2×Dic236C2311yescharacteristic
215C2×Dic236C2311yescharacteristic
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×D472C2311yescharacteristic
229C2×D472C2311yescharacteristic
230#14273727C2311yescharacteristic
231#14273727C2311yescharacteristic
232#14273727C2311yescharacteristic
233#14273727C2311yescharacteristic
234#14273726—21no—
235#14273725—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#14273719—21no—
250#14273719C2311yescharacteristic
251#14273719C2311yescharacteristic
252#14273719C2311yescharacteristic
253#14273719C2311yescharacteristic
254#14273717—21no—
255#14273717—21no—
256#14273717—21no—
257#14273717—21no—
258#14273717—21no—
259#14273717—21no—
260#14273715C2311yescharacteristic
261#14273715C2311yescharacteristic
262#14273715C2311yescharacteristic
263#14273715C2311yescharacteristic
264#14273713—21no—
265#14273713—21no—
266#14273713—21no—
267#14273713—21no—
268#14273712—21no—
269#14273712—21no—
270#14273711—21no—
271#14273711—21no—
272#14273710—21no—
273#14273710—21no—
274#14273710—21no—
275#14273710—21no—
276#14273709—21no—
277#14273709—21no—
278#14273708—21no—
279#14273708—21no—
280#14273708—21no—
281#14273708—21no—
282#14273707—21no—
283#14273706—21no—
284#14273706—21no—
285#14273706C2311yescharacteristic
286#14273706C2311yescharacteristic
287#14273706C2311yescharacteristic
288#14273706C2311yescharacteristic
289#14273706C2311yescharacteristic
290#14273706C2311yescharacteristic
291#14273706C2311yescharacteristic
292#14273706C2311yescharacteristic
293#14273705—21no—
294#14273705—21no—
295#14273705—21no—
296#14273705—21no—
297#14273704—21no—
298#14273704—21no—
299#14273703—21no—
300#14273703—21no—
301#14273703—21no—
302#14273701C2311yescharacteristic
303#14273701C2311yescharacteristic
304#14273701C2311yescharacteristic
305#14273701C2311yescharacteristic
306#14273700—21no—
307#14273700—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×Dic118—21no—
318C4×Dic118—21no—
319C4×Dic118—21no—
320C4×Dic118C2311yescharacteristic
321C4×Dic118C2311yescharacteristic
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×D236C2311yescharacteristic
336C4×D236C2311yescharacteristic
337C4×D236C2311yescharacteristic
338C4×D236C2311yescharacteristic
339C4×D236C2311yescharacteristic
340C4×D236C2311yescharacteristic
341C4×D236C2311yescharacteristic
342C4×D236C2311yescharacteristic
343D4×Dic59—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—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4—21no—
356#14273686—21no—
357#14273686—21no—
358#14273686C2311yescharacteristic
359#14273686C2311yescharacteristic
360#14273686C2311yescharacteristic
361#14273685—21no—
362#14273685—21no—
363#14273685—21no—
364#14273684—21no—
365#14273684—21no—
366#14273684—21no—
367#14273684—21no—
368#14273684—21no—
369#14273684—21no—
370#14273684—21no—
371#14273683—21no—
372#14273683—21no—
373#14273683—21no—
374#14273683—21no—
375C2×C4⋊Dic59C2311yescharacteristic
376C2×C4⋊Dic59C2311yescharacteristic
377C2×C4⋊Dic59C2311yescharacteristic
378C2×Dic59⋊C4—21no—
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—
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#14273652C2311yescharacteristic
419#14273652C2311yescharacteristic
420#14273652C2311yescharacteristic
421#14273652C2311yescharacteristic
422#14273652C2311yescharacteristic
423#14273652C2311yescharacteristic
424#14273652C2311yescharacteristic
425#14273652C2311yescharacteristic
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—
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—
503C22×Dic59—21no—
504C22×Dic59—21no—
505C22×Dic59—21no—
506C22×Dic59—21no—
507C22×Dic59—21no—
508#11745687—44no—
509#11745685—22no—
510#11745685—22no—
511#11745685—22no—
512#11745685—41no—
513#11745685—41no—
514#11745685—41no—
515C2×D236—22no—
516C2×D236—21no—
517C2×D236—41no—
518C2×D236C2411yescharacteristic
519C2×D236C2411yescharacteristic
520C2×D236C2411yescharacteristic
521C2×C4×D59—21no—
522C2×C4×D59—21no—
523C2×C4×D59—21no—
524C2×C4×D59—21no—
525C2×C4×D59—21no—
526C2×C4×D59—21no—
527C2×C4×D59—21no—
528C2×C4×D59—21no—
529C2×C4×D59—21no—
530C2×C4×D59—21no—
531C2×C4×D59—21no—
532C2×C4×D59—44no—
533C2×Dic118—22no—
534C2×Dic118—22no—
535C2×Dic118—21no—
536C2×Dic118—21no—
537C2×Dic118—21no—
538C2×Dic118—21no—
539C2×Dic118—41no—
540C2×Dic118—41no—
541C2×Dic118C2411yescharacteristic
542C2×Dic118C2411yescharacteristic
543C2×Dic118C2411yescharacteristic
544C2×Dic118C2411yescharacteristic
545C2×Dic118C2411yescharacteristic
546M16×C59—22no—
547M16×C59—41no—
548C2×C8×C59—22no—
549C2×C8×C59—22no—
550C2×C8×C59—41no—
551C2×C8×C59—41no—
552C2×C8×C59C2411yescharacteristic
553C2×C8×C59C2411yescharacteristic
554C2×C8×C59C2411yescharacteristic
555C2×C8×C59C2411yescharacteristic
556C2×C8×C59C2411yescharacteristic
557C2×C8×C59C2411yescharacteristic
558C2×C8×C59C2411yescharacteristic
559C2×C8×C59C2411yescharacteristic
560C4⋊C4×C59C2×D411yescharacteristic
561C4⋊C4×C59C2×D411yescharacteristic
562C4⋊C4×C59C2×D411yescharacteristic
563C4⋊C4×C59C2×D411yescharacteristic
564C4⋊C4×C59C2×D411yescharacteristic
565C4⋊C4×C59C2×D411yescharacteristic
566C22⋊C4×C59C2×D411yescharacteristic
567C22⋊C4×C59C2×D411yescharacteristic
568C22⋊C4×C59C2×D411yescharacteristic
569C22⋊C4×C59C2×D411yescharacteristic
570C22⋊C4×C59C2×D411yescharacteristic
571C22⋊C4×C59C2×D411yescharacteristic
572C42×C59C2×D411yescharacteristic
573C42×C59C2×D411yescharacteristic
574C42×C59C2×D411yescharacteristic
575C42×C59C2×D411yescharacteristic
576C42×C59C2×D411yescharacteristic
577C42×C59C2×D411yescharacteristic
578C42×C59C2411yescharacteristic
579C42×C59C2411yescharacteristic
580C42×C59C2411yescharacteristic
581C42×C59C2411yescharacteristic
582C22⋊Dic59—21no—
583C22⋊Dic59—21no—
584C22⋊Dic59—21no—
585C22⋊Dic59—21no—
586C22⋊Dic59—21no—
587C22⋊Dic59—21no—
588C22⋊Dic59—21no—
589C22⋊Dic59—21no—
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593(C2×D59)⋊C4—21no—
594(C2×D59)⋊C4—21no—
595(C2×D59)⋊C4—21no—
596(C2×D59)⋊C4—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—
613C4⋊Dic59—21no—
614C4⋊Dic59—21no—
615C4⋊Dic59—21no—
616C4⋊Dic59—21no—
617C4⋊Dic59—21no—
618C4⋊Dic59—21no—
619C4⋊Dic59—21no—
620C4⋊Dic59—21no—
621C4⋊Dic59—21no—
622C4⋊Dic59C2411yescharacteristic
623C4⋊Dic59C2411yescharacteristic
624C4⋊Dic59C2411yescharacteristic
625C4⋊Dic59C2411yescharacteristic
626C4⋊Dic59C2411yescharacteristic
627C4⋊Dic59C2411yescharacteristic
628C4⋊Dic59C2411yescharacteristic
629C4⋊Dic59C2411yescharacteristic
630Dic59⋊C4—21no—
631Dic59⋊C4—21no—
632Dic59⋊C4—21no—
633Dic59⋊C4—21no—
634Dic59⋊C4—21no—
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—
658C4×Dic59—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—
677Dic236—41no—
678Dic236—41no—
679D472—22no—
680D472—41no—
681#11745660—22no—
682#11745660—22no—
683#11745660—22no—
684#11745660—22no—
685#11745660—22no—
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—42no—
696C22×D59—42no—
697C22×D59—81no—
698Q8×C59—41no—
699D4×C59—22no—
700D4×C59—22no—
701D4×C59—41no—
702C2×C4×C59—22no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—41no—
710C2×C4×C59—41no—
711C2×C4×C59—41no—
712C2×C4×C59—41no—
713C2×C4×C59—41no—
714C2×C4×C59C22×D411yescharacteristic
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×C59C2511yescharacteristic
726C22⋊D59—42no—
727C22⋊D59—42no—
728C22⋊D59—42no—
729C22⋊D59—42no—
730C22⋊D59—42no—
731C22⋊D59—81no—
732C22⋊D59—81no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
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—42no—
747C2×Dic59—42no—
748C2×Dic59—42no—
749C2×Dic59—42no—
750C2×Dic59—42no—
751D236—21no—
752D236—21no—
753D236—21no—
754D236—21no—
755D236—21no—
756D236—42no—
757D236C2×#4112yes—
758C4×D59—42no—
759C4×D59—42no—
760C4×D59—42no—
761C4×D59—42no—
762C4×D59—42no—
763C4×D59—42no—
764C4×D59—42no—
765C4×D59—42no—
766C4×D59—42no—
767C4×D59—81no—
768C4×D59—81no—
769Dic118—21no—
770Dic118—21no—
771Dic118—21no—
772Dic118—21no—
773Dic118—21no—
774Dic118—21no—
775Dic118—21no—
776Dic118—21no—
777Dic118—21no—
778Dic118—42no—
779Dic118—42no—
780Dic118—42no—
781Dic118—81no—
782Dic118C2×#4112yes—
783C8×C59—21no—
784C8×C59—21no—
785C8×C59—21no—
786C8×C59—21no—
787C8×C59—21no—
788C8×C59—21no—
789C8×C59—21no—
790C8×C59C2×#4112yes—
791#61455—591nomaximal, Sylow
792C22×C59—21no—
793C22×C59—21no—
794C22×C59—21no—
795C22×C59—21no—
796C22×C59—21no—
797C22×C59—21no—
798C22×C59—21no—
799C22×C59—21no—
800C22×C59#57512yes—
801C22×C59C23×D411yescharacteristic
802C2×D59—22no—
803C2×D59—41no—
804C2×D59—41no—
805C2×D59—41no—
806C2×D59—41no—
807C2×D59—41no—
808C2×D59—41no—
809C2×D59—41no—
810C2×D59—41no—
811C2×D59—84no—
812C4×C59—21no—
813C4×C59—21no—
814C4×C59—21no—
815C4×C59—21no—
816C4×C59—21no—
817C4×C59—21no—
818C4×C59—21no—
819C4×C59—21no—
820C4×C59—21no—
821C4×C59—21no—
822C4×C59—21no—
823C4×C59C22×#4111yescharacteristic
824C4×C59#58511yescharacteristic
825Dic59—22no—
826Dic59—41no—
827Dic59—41no—
828Dic59—41no—
829Dic59—41no—
830Dic59—41no—
831Dic59—41no—
832Dic59—41no—
833Dic59—41no—
834Dic59—41no—
835Dic59—41no—
836Dic59—41no—
837Dic59—41no—
838#3482—591no—
839#3475—591no—
840#3402—591no—
841#3388—591no—
842#3377—591no—
843#3376—591no—
844#3348—591no—
845#3343—591no—
846#3336—591no—
847#3321—591no—
848#3315—591no—
849#3312—591no—
850#3306—591no—
851#3300—591no—
852#3296—591no—
853#3282—591no—
854#3269—591no—
855#3266—591no—
856#3183—591no—
857#3181—591no—
858#3181—591no—
859#3117—591no—
860#3116—591no—
861#3114—591no—
862#3113—591no—
863#3111—591no—
864#3111—591no—
865#2970D5911yescharacteristic, complemented
866C4×#137—591no—
867#2943—591no—
868C2×#440—591no—
869C2×C59—22no—
870C2×C59—41no—
871C2×C59—41no—
872C2×C59D4×#4111yescharacteristic
873C2×C59C2×#57511yescharacteristic
874C2×C59#358611yescharacteristic
875D59—42no—
876D59—81no—
877D59—81no—
878C2×#137—591no—
879C2×#135—591no—
880C22×SD16—591no—
881#557—591no—
882#556—591no—
883#556—591no—
884#556—1181no—
885#555—591no—
886#554—591no—
887#553—1181no—
888#552—591no—
889#552—591no—
890#552—591no—
891#552—591no—
892#552—1181no—
893#552—1181no—
894#552—1181no—
895#551—1181no—
896#551—1181no—
897D4×Q8—591no—
898#548—591no—
899#548—591no—
900#547—591no—
901#547—591no—
902#547—1181no—
903#546—591no—
904#546—591no—
905#533—591no—
906#533—591no—
907#533—1181no—
908#529—591no—
909#529—591no—
910#529—591no—
911#529—591no—
912#529—1181no—
913#529—1181no—
914#529—1181no—
915#529—1181no—
916#525—1181no—
917C4×#41—591no—
918C4×#41—591no—
919C4×#41—591no—
920C4×#41—1181no—
921C4×#41C2×D5911yescharacteristic
922C2×C4×Q8—591no—
923C2×C4×Q8—591no—
924C2×C4×D4—591no—
925C2×#117—1181no—
926#501—591no—
927#501—591no—
928#499—591no—
929#497—591no—
930#497—591no—
931#495—591no—
932#491—591no—
933#491—591no—
934#489—591no—
935#489—591no—
936#488—591no—
937#488—591no—
938#485—591no—
939#485—591no—
940#485—591no—
941#485—591no—
942#484—591no—
943#483—591no—
944#483—591no—
945#483—591no—
946#482—591no—
947#482—591no—
948#481—591no—
949#480—591no—
950#479—591no—
951#479—591no—
952#479—591no—
953#479—591no—
954#478—591no—
955#478—591no—
956#478—591no—
957#478—591no—
958#477—591no—
959#476—591no—
960#475—591no—
961#475—591no—
962#470—591no—
963#469—591no—
964#468—591no—
965#468—591no—
966#467—591no—
967#467—591no—
968#467—591no—
969#467—591no—
970#465—591no—
971#465—591no—
972#465—591no—
973#465—591no—
974#464—591no—
975#464—591no—
976#464—591no—
977#464—591no—
978#463—591no—
979#463—591no—
980#463—591no—
981#463—591no—
982#462—591no—
983#462—591no—
984#462—591no—
985#461—591no—
986#452—591no—
987#452—591no—
988#452—591no—
989#452—591no—
990#451—591no—
991#451—591no—
992#451—591no—
993#450—591no—
994#449—591no—
995#449—591no—
996#448—591no—
997#447—591no—
998#446C2×D5911yescharacteristic, complemented
999#446C2×D5911yescharacteristic, complemented
1000#442—591no—
1001#442—591no—
1002#442—591no—
1003#441—591no—
1004#441—591no—
1005#441—591no—
1006#441—591no—
1007#441—591no—
1008#441—591no—
1009#441—591no—
1010#440—591no—
1011#440—591no—
1012#440—591no—
1013#440—591no—
1014#440—591no—
1015#440—591no—
1016#440—591no—
1017#440—591no—
1018#440—591no—
1019#440—591no—
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440—591no—
1024C4×Q16—591no—
1025C4×Q16—591no—
1026C4×SD16—591no—
1027C4×SD16—591no—
1028#435C2×D5911yescharacteristic
1029#435C2×D5911yescharacteristic
1030#435C2×D5911yescharacteristic, complemented
1031#435C2×D5911yescharacteristic, complemented
1032C8×D4C2×D5911yescharacteristic
1033C8×D4C2×D5911yescharacteristic
1034#432C2×D5911yescharacteristic
1035#432C2×D5911yescharacteristic, complemented
1036#432C2×D5911yescharacteristic, complemented
1037#428—591no—
1038#427—591no—
1039C2×#107—591no—
1040#419—591no—
1041#417—591no—
1042#416—591no—
1043#416—591no—
1044C2×#103—591no—
1045C2×#102—591no—
1046C4×M16C2×D5911yescharacteristic, complemented
1047C2×#97C2×D5911yescharacteristic
1048C2×#97C2×D5911yescharacteristic, complemented
1049C59#6145511yescharacteristic, complemented, Sylow
1050C2×#41—591no—
1051C2×#41—591no—
1052C2×#41—591no—
1053C2×#41—1181no—
1054C2×#41D23611yescharacteristic
1055C22×Q8—591no—
1056C22×Q8—591no—
1057C22×D4—591no—
1058C23×C4—1181no—
1059#137—1184no—
1060#135—1184no—
1061C2×Q16—591no—
1062C2×Q16—591no—
1063C2×Q16—591no—
1064C2×Q16—591no—
1065C2×Q16—591no—
1066C2×Q16—591no—
1067C2×SD16—591no—
1068C2×SD16—591no—
1069C2×SD16—591no—
1070C2×SD16—591no—
1071C2×SD16—591no—
1072C2×SD16—591no—
1073C2×SD16—591no—
1074C2×SD16—591no—
1075C2×SD16—1184no—
1076C2×D8—591no—
1077C2×D8—591no—
1078C2×M16C22×D5911yescharacteristic
1079C2×M16C22×D5911yescharacteristic
1080C22×C8C22×D5911yescharacteristic
1081C22×C8C22×D5911yescharacteristic
1082C22×C8C22×D5911yescharacteristic
1083C22×C8C22×D5911yescharacteristic
1084C4⋊Q8—591no—
1085C4⋊Q8—591no—
1086C4⋊Q8—591no—
1087C4⋊Q8—591no—
1088C4⋊Q8—1181no—
1089C4⋊Q8—1181no—
1090#126—1181no—
1091#126—1181no—
1092#126—1181no—
1093#126—1181no—
1094#126—1181no—
1095#126—1181no—
1096#126—1181no—
1097#126—1181no—
1098#126—1181no—
1099#126—1181no—
1100#126—1181no—
1101#126—1181no—
1102#125—591no—
1103#125—591no—
1104#125—591no—
1105#125—591no—
1106#125—1181no—
1107#125—1181no—
1108#125—1181no—
1109#125—1181no—
1110#125—1181no—
1111#125—1181no—
1112#125—1181no—
1113#125—1181no—
1114#124—591no—
1115#124—591no—
1116#124—591no—
1117#124—591no—
1118#124—1181no—
1119#124—1181no—
1120#124—1181no—
1121#124—1181no—
1122#123—1181no—
1123#123—1181no—
1124#123—1181no—
1125#123—1181no—
1126#123—1181no—
1127#123—1181no—
1128#123—1181no—
1129#123—1181no—
1130#123—1181no—
1131#123—1181no—
1132#123—1181no—
1133#123—1181no—
1134#123—1181no—
1135#123—1181no—
1136C22⋊Q8—591no—
1137C22⋊Q8—591no—
1138C22⋊Q8—591no—
1139C22⋊Q8—591no—
1140C22⋊Q8—591no—
1141C22⋊Q8—591no—
1142C22⋊Q8—591no—
1143C22⋊Q8—591no—
1144C22⋊Q8—1181no—
1145C22⋊Q8—1181no—
1146C22⋊Q8—1181no—
1147C22⋊Q8—1181no—
1148C22⋊Q8—1181no—
1149C22⋊Q8—1181no—
1150C22⋊Q8—1181no—
1151C22⋊Q8—1181no—
1152C22⋊Q8—1181no—
1153C22⋊Q8—1181no—
1154C22⋊Q8—1181no—
1155C22⋊Q8—1181no—
1156#121—591no—
1157#121—591no—
1158#121—591no—
1159#121—591no—
1160#121—1181no—
1161#121—1181no—
1162#121—1181no—
1163#121—1181no—
1164#121—1181no—
1165#121—1181no—
1166#120—1181no—
1167#120—1181no—
1168C4×Q8—591no—
1169C4×Q8—591no—
1170C4×Q8—591no—
1171C4×Q8—591no—
1172C4×Q8—591no—
1173C4×Q8—591no—
1174C4×Q8—591no—
1175C4×Q8—591no—
1176C4×Q8—591no—
1177C4×Q8—591no—
1178C4×Q8—591no—
1179C4×Q8—591no—
1180C4×Q8—1181no—
1181C4×Q8—1181no—
1182C4×Q8—1181no—
1183C4×Q8—1181no—
1184C4×Q8—1181no—
1185C4×Q8—1181no—
1186C4×Q8—1181no—
1187C4×Q8D23611yescharacteristic
1188C4×Q8C22×D5911yescharacteristic
1189C4×D4—591no—
1190C4×D4—591no—
1191C4×D4—591no—
1192C4×D4—591no—
1193C4×D4—591no—
1194C4×D4—591no—
1195C4×D4—591no—
1196C4×D4—591no—
1197C4×D4—1181no—
1198C4×D4—1181no—
1199C4×D4—1181no—
1200C4×D4—1181no—
1201C4×D4—1181no—
1202C4×D4—1181no—
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×D4D23611yescharacteristic
1213C4×D4D23611yescharacteristic
1214C4×D4D23611yescharacteristic
1215C4×D4C22×D5911yescharacteristic
1216C4×D4C22×D5911yescharacteristic
1217C4×D4C22×D5911yescharacteristic
1218#117—591no—
1219#117—591no—
1220#117—591no—
1221#117—1181no—
1222#117—1181no—
1223#117—1181no—
1224#117—1181no—
1225#117—1181no—
1226#117—1181no—
1227#117—1181no—
1228#117—1181no—
1229#117—1181no—
1230#117—1181no—
1231#117—1181no—
1232#117—1181no—
1233#117—1181no—
1234#117—1181no—
1235#117—1181no—
1236#117—1181no—
1237#117D23611yescharacteristic
1238#117D23611yescharacteristic
1239#117D23611yescharacteristic
1240C2×C4⋊C4—591no—
1241C2×C4⋊C4—591no—
1242C2×C4⋊C4—591no—
1243C2×C4⋊C4—1181no—
1244C2×C4⋊C4—1181no—
1245C2×C4⋊C4—1181no—
1246C2×C4⋊C4—1181no—
1247C2×C22⋊C4—1181no—
1248C2×C22⋊C4—1181no—
1249C2×C22⋊C4—1181no—
1250C2×C42—1181no—
1251C2×C42—1181no—
1252C2×C42—1181no—
1253C2×C42—1181no—
1254C2×C42—1181no—
1255C2×C42C22×D5911yescharacteristic
1256C2×C42C22×D5911yescharacteristic
1257C2×C42C22×D5911yescharacteristic
1258#107—591no—
1259#107—591no—
1260#107—591no—
1261#107—591no—
1262#107—591no—
1263#107—591no—
1264#107—591no—
1265#107—591no—
1266#106—591no—
1267#106—591no—
1268#106—591no—
1269#106—591no—
1270#106—591no—
1271#106—591no—
1272#106—591no—
1273#106—591no—
1274C4⋊C8C22×D5911yescharacteristic
1275C4⋊C8C22×D5911yescharacteristic
1276C4⋊C8C22×D5911yescharacteristic
1277C4⋊C8C22×D5911yescharacteristic
1278C4⋊C8C22×D5911yescharacteristic
1279C4⋊C8C22×D5911yescharacteristic
1280#103—591no—
1281#103—591no—
1282#103—591no—
1283#103—591no—
1284#103—591no—
1285#103—591no—
1286#103—591no—
1287#103—591no—
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#102—591no—
1301#102—591no—
1302#102—591no—
1303#102—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—
1312C22⋊C8C22×D5911yescharacteristic
1313C22⋊C8C22×D5911yescharacteristic
1314C22⋊C8C22×D5911yescharacteristic
1315C22⋊C8C22×D5911yescharacteristic
1316C22⋊C8C22×D5911yescharacteristic
1317C22⋊C8C22×D5911yescharacteristic
1318#97C22×D5911yescharacteristic
1319#97C22×D5911yescharacteristic
1320#97C22×D5911yescharacteristic
1321#97C22×D5911yescharacteristic
1322#97C22×D5911yescharacteristic
1323#97C22×D5911yescharacteristic
1324#97C22×D5911yescharacteristic
1325#97C22×D5911yescharacteristic
1326C4×C8C22×D5911yescharacteristic
1327C4×C8C22×D5911yescharacteristic
1328C24—1181no—
1329#41—42no—
1330#41—1182no—
1331#41—1182no—
1332#41—1182no—
1333#41—2361no—
1334#41—2361no—
1335#41—2361no—
1336#41—2364no—
1337C2×Q8—591no—
1338C2×Q8—591no—
1339C2×Q8—591no—
1340C2×Q8—591no—
1341C2×Q8—591no—
1342C2×Q8—1182no—
1343C2×Q8—1182no—
1344C2×Q8—1181no—
1345C2×Q8—1181no—
1346C2×Q8—1181no—
1347C2×Q8—1181no—
1348C2×Q8—2361no—
1349C2×Q8—2361no—
1350C2×Q8C2×D23611yescharacteristic
1351C2×D4—591no—
1352C2×D4—591no—
1353C2×D4—591no—
1354C2×D4—1182no—
1355C2×D4—1181no—
1356C2×D4—1181no—
1357C2×D4—1181no—
1358C2×D4—1181no—
1359C2×D4—1181no—
1360C2×D4—1181no—
1361C2×D4—1181no—
1362C2×D4—1181no—
1363C2×D4—2361no—
1364C2×D4C2×D23611yescharacteristic
1365C2×D4C2×D23611yescharacteristic
1366C2×D4C2×D23611yescharacteristic
1367C22×C4—1181no—
1368C22×C4—1181no—
1369C22×C4—1181no—
1370C22×C4—1181no—
1371C22×C4—1181no—
1372C22×C4—1181no—
1373C22×C4—1181no—
1374C22×C4—1181no—
1375C22×C4—1181no—
1376C22×C4—1181no—
1377C22×C4—1181no—
1378C22×C4—1181no—
1379C22×C4—1181no—
1380C22×C4—1181no—
1381C22×C4—1181no—
1382C22×C4—1181no—
1383C22×C4—2364no—
1384C22×C4C2×D23611yescharacteristic
1385C22×C4C2×D23611yescharacteristic
1386C22×C4C2×D23611yescharacteristic
1387C22×C4C2×D23611yescharacteristic
1388C22×C4C2×D23611yescharacteristic
1389C22×C4C2×D23611yescharacteristic
1390C22×C4C23×D5911yescharacteristic
1391C22×C4C23×D5911yescharacteristic
1392C22×C4C23×D5911yescharacteristic
1393Q16—1182no—
1394Q16—1182no—
1395Q16—1182no—
1396Q16—2361no—
1397Q16—2361no—
1398Q16—2361no—
1399SD16—594no—
1400SD16—1182no—
1401SD16—1182no—
1402SD16—1182no—
1403SD16—1182no—
1404SD16—1182no—
1405SD16—2361no—
1406SD16—2361no—
1407D8—1182no—
1408D8—2361no—
1409M16—22no—
1410M16—41no—
1411C2×C8—22no—
1412C2×C8—22no—
1413C2×C8—41no—
1414C2×C8—41no—
1415C2×C8C23×D5911yescharacteristic
1416C2×C8C23×D5911yescharacteristic
1417C2×C8C23×D5911yescharacteristic
1418C2×C8C23×D5911yescharacteristic
1419C2×C8C23×D5911yescharacteristic
1420C2×C8C23×D5911yescharacteristic
1421C2×C8C23×D5911yescharacteristic
1422C2×C8C23×D5911yescharacteristic
1423C4⋊C4—591no—
1424C4⋊C4—591no—
1425C4⋊C4—591no—
1426C4⋊C4—591no—
1427C4⋊C4—591no—
1428C4⋊C4—591no—
1429C4⋊C4—591no—
1430C4⋊C4—591no—
1431C4⋊C4—1181no—
1432C4⋊C4—1181no—
1433C4⋊C4—1181no—
1434C4⋊C4—1181no—
1435C4⋊C4—1181no—
1436C4⋊C4—1181no—
1437C4⋊C4—1181no—
1438C4⋊C4—1181no—
1439C4⋊C4—1181no—
1440C4⋊C4—1181no—
1441C4⋊C4—1181no—
1442C4⋊C4—1181no—
1443C4⋊C4—1181no—
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⋊C4C2×D23611yescharacteristic
1469C4⋊C4C2×D23611yescharacteristic
1470C4⋊C4C2×D23611yescharacteristic
1471C4⋊C4C2×D23611yescharacteristic
1472C4⋊C4C2×D23611yescharacteristic
1473C4⋊C4C2×D23611yescharacteristic
1474C22⋊C4—1181no—
1475C22⋊C4—1181no—
1476C22⋊C4—1181no—
1477C22⋊C4—1181no—
1478C22⋊C4—1181no—
1479C22⋊C4—1181no—
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⋊C4C2×D23611yescharacteristic
1506C22⋊C4C2×D23611yescharacteristic
1507C22⋊C4C2×D23611yescharacteristic
1508C22⋊C4C2×D23611yescharacteristic
1509C22⋊C4C2×D23611yescharacteristic
1510C22⋊C4C2×D23611yescharacteristic
1511C42—1181no—
1512C42—1181no—
1513C42—1181no—
1514C42—1181no—
1515C42—1181no—
1516C42—1181no—
1517C42—1181no—
1518C42—1181no—
1519C42—1181no—
1520C42—1181no—
1521C42—1181no—
1522C42—1181no—
1523C42—1181no—
1524C42—1181no—
1525C42—1181no—
1526C42C2×D23611yescharacteristic
1527C42C2×D23611yescharacteristic
1528C42C2×D23611yescharacteristic
1529C42C2×D23611yescharacteristic
1530C42C2×D23611yescharacteristic
1531C42C2×D23611yescharacteristic
1532C42C23×D5911yescharacteristic
1533C42C23×D5911yescharacteristic
1534C42C23×D5911yescharacteristic
1535C42C23×D5911yescharacteristic
1536C23—1181no—
1537C23—1181no—
1538C23—1181no—
1539C23—4721no—
1540C23—2362no—
1541C23—2362no—
1542C23C22×D23611yescharacteristic
1543C23C22×D23611yescharacteristic
1544C23C22×D23611yescharacteristic
1545Q8—41no—
1546Q8—592no—
1547Q8—1181no—
1548Q8—1181no—
1549Q8—1181no—
1550Q8—1181no—
1551Q8—1181no—
1552Q8—1181no—
1553Q8—1181no—
1554Q8—1181no—
1555Q8—1181no—
1556Q8—4721no—
1557Q8—2362no—
1558Q8—2362no—
1559Q8—2362no—
1560D4—22no—
1561D4—22no—
1562D4—41no—
1563D4—592no—
1564D4—1181no—
1565D4—1181no—
1566D4—1181no—
1567D4—1181no—
1568D4—1181no—
1569D4—4721no—
1570D4—4721no—
1571D4—2362no—
1572D4—2362no—
1573D4—2362no—
1574D4—2362no—
1575D4—2362no—
1576D4—2362no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—1181no—
1590C2×C4—1181no—
1591C2×C4—1181no—
1592C2×C4—1181no—
1593C2×C4—1181no—
1594C2×C4—1181no—
1595C2×C4—1181no—
1596C2×C4—1181no—
1597C2×C4—1181no—
1598C2×C4—1181no—
1599C2×C4—1181no—
1600C2×C4—1181no—
1601C2×C4—1181no—
1602C2×C4—4721no—
1603C2×C4—4721no—
1604C2×C4—2362no—
1605C2×C4—2362no—
1606C2×C4—2362no—
1607C2×C4—2362no—
1608C2×C4—2362no—
1609C2×C4—2362no—
1610C2×C4—2362no—
1611C2×C4—2362no—
1612C2×C4—2362no—
1613C2×C4—2362no—
1614C2×C4—2362no—
1615C2×C4—2362no—
1616C2×C4—2362no—
1617C2×C4—2362no—
1618C2×C4C22×D23611yescharacteristic
1619C2×C4C22×D23611yescharacteristic
1620C2×C4C22×D23611yescharacteristic
1621C2×C4C22×D23611yescharacteristic
1622C2×C4C22×D23611yescharacteristic
1623C2×C4C22×D23611yescharacteristic
1624C2×C4C22×D23611yescharacteristic
1625C2×C4C22×D23611yescharacteristic
1626C2×C4C22×D23611yescharacteristic
1627C2×C4C22×D23611yescharacteristic
1628C2×C4C22×D23611yescharacteristic
1629C2×C4C24×D5911yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8—21no—
1637C8#41×D5912yes—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—1182no—
1647C22—4724no—
1648C22—2361no—
1649C22—2361no—
1650C22—2361no—
1651C22—2361no—
1652C22—2361no—
1653C22—2361no—
1654C22—2361no—
1655C22—2361no—
1656C22#1683820212yes—
1657C22C23×D23611yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—1182no—
1670C4—2361no—
1671C4—2361no—
1672C4—2361no—
1673C4—2361no—
1674C4—2361no—
1675C4—2361no—
1676C4—2361no—
1677C4—2361no—
1678C4—2361no—
1679C4—2361no—
1680C4—2361no—
1681C4—2361no—
1682C4C2×#41×D5911yescharacteristic
1683C4#1683823811yescharacteristic
1684C2—22no—
1685C2—41no—
1686C2—41no—
1687C2—4721no—
1688C2—4721no—
1689C2—2362no—
1690C2#41×D23611yescharacteristic
1691C2C2×#1683820211yescharacteristic
1692C2#2143888411yescharacteristic
subgroupG/H
centerC22C23×D236
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#2970C2
socleC22×C59C23×D4
hypercenter#2970D59
hypocenterC59#61455
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. #21437711C2semidirect
2. #21437660C2semidirect
3. #21437177C2semidirect
4. #21437043C2semidirect
5. #21436940C2semidirect
6. #21436925C2semidirect
7. #21436613C2semidirect
8. #21436538C2semidirect
9. #21436465C2semidirect
10. #21436284C2semidirect
11. #21436194C2semidirect
12. #21436149C2semidirect
13. #21436059C2semidirect
14. #21435985C2semidirect
15. #21435933C2semidirect
16. #21435808C2semidirect
17. #21435656C2semidirect
18. #21435611C2semidirect
19. #21434825C2semidirect
20. #21434805C2semidirect
21. #21434805C2semidirect
22. #21434269C2semidirect
23. #21434259C2semidirect
24. #21434236C2semidirect
25. #21434227C2semidirect
26. #21434207C2semidirect
27. #21434207C2semidirect
28. C4×#14273760C2semidirect
29. #21432898C2semidirect
30. C2×#16837504C2semidirect
31. C59×#2970C2semidirect
35. #16838130C22semidirect
37. #16838125C22semidirect
46. #16838092C22semidirect
53. #16838061C22semidirect
60. #16837959C22semidirect
65. #16837936C22semidirect
73. C4×#11745685C22semidirect
76. C2×C4×Dic118C22semidirect
79. #16837811C22semidirect
80. #16837811C22semidirect
81. #16837804C22semidirect
83. #16837796C22semidirect
85. #16837771C22semidirect
86. #16837771C22semidirect
88. #16837762C22semidirect
90. #16837757C22semidirect
91. #16837744C22semidirect
92. #16837744C22semidirect
93. #16837744C22semidirect
94. #16837744C22semidirect
95. #16837738C22semidirect
100. #16837727C22semidirect
103. #16837710C22semidirect
104. #16837710C22semidirect
105. #16837710C22semidirect
106. #16837710C22semidirect
110. #16837703C22semidirect
111. #16837698C22semidirect
113. #16837688C22semidirect
114. #16837688C22semidirect
115. #16837660C22semidirect
118. #16837648C22semidirect
121. #16837643C22semidirect
122. #16837643C22semidirect
130. #16837625C22semidirect
135. #16837613C22semidirect
136. #16837613C22semidirect
137. #16837613C22semidirect
142. #16837566C22semidirect
145. #16837560C22semidirect
154. #16837510C22semidirect
155. #16837510C22semidirect
156. #16837510C22semidirect
157. #16837510C22semidirect
158. #16837510C22semidirect
159. #16837510C22semidirect
160. #16837510C22semidirect
172. #16837504C22semidirect
173. #16837504C22semidirect
174. #16837504C22semidirect
175. C4×Dic236C22semidirect
176. C4×Dic236C22semidirect
179. #16837444C22semidirect
180. #16837440C22semidirect
182. #16837412C22semidirect
185. #16837399C22semidirect
189. C59×#446C22semidirect
190. C59×#446C22semidirect
193. C59×#435C22semidirect
194. C59×#435C22semidirect
198. C59×#432C22semidirect
199. C59×#432C22semidirect
200. C4×M16×C59C22semidirect
202. C2×#97×C59C22semidirect
688. #11745660#41semidirect
865. #2970D59semidirect
998. #446C2×D59semidirect
999. #446C2×D59semidirect
1030. #435C2×D59semidirect
1031. #435C2×D59semidirect
1035. #432C2×D59semidirect
1036. #432C2×D59semidirect
1046. C4×M16C2×D59semidirect
1048. C2×#97C2×D59semidirect
1049. C59#61455semidirect

Maximal subgroups

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

subgroupindex
#214377112
#214376602
#214371772
#214370432
#214369402
#214369252
#214366132
#214365382
#214364652
#214362842
#214361942
#214361492
#214360592
#214359852
#214359332
#214358082
#214356562
#214356112
#214348252
#214348052
#214342692
#214342592
#214342362
#214342272
#214342072
C4×#142737602
#214328982
C2×#168375042
C59×#29702
#6145559