Finite Group Databasebeta

← #29481271

Subgroups — #29481271

Order 15104.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438057C211yesmaximal, characteristic, complemented
2#21437711C211yesmaximal, characteristic, complemented
3#21437177C211yesmaximal, characteristic, complemented
4#21437164C211yesmaximal, characteristic, complemented
5#21436940C211yesmaximal, characteristic, complemented
6#21436866C211yesmaximal, characteristic, complemented
7#21436366C211yesmaximal, characteristic, complemented
8#21436314C211yesmaximal, characteristic, complemented
9#21436149C211yesmaximal, characteristic, complemented
10#21436119C211yesmaximal, characteristic, complemented
11#21436089C211yesmaximal, characteristic, complemented
12#21436059C211yesmaximal, characteristic, complemented
13#21435754C211yesmaximal, characteristic, complemented
14#21435732C211yesmaximal, characteristic, complemented
15#21435671C211yesmaximal, characteristic, complemented
16#21435671C211yesmaximal, characteristic, complemented
17#21435611C211yesmaximal, characteristic, complemented
18#21435596C211yesmaximal, characteristic, complemented
19#21435497C211yesmaximal, characteristic, complemented
20#21435470C211yesmaximal, characteristic, complemented
21#21435448C211yesmaximal, characteristic, complemented
22#21435135C211yesmaximal, characteristic, complemented
23#21435101C211yesmaximal, characteristic, complemented
24#21435063C211yesmaximal, characteristic, complemented
25#21434269C211yesmaximal, characteristic, complemented
26#21434207C211yesmaximal, characteristic, complemented
27#21434178C211yesmaximal, characteristic, complemented
28#21433591C211yesmaximal, characteristic, complemented
29#21433570C211yesmaximal, characteristic, complemented
30C2×#16837625C211yesmaximal, characteristic, complemented
31C59×#2989C211yesmaximal, characteristic, complemented
32C2×#14273760C2211yescharacteristic, complemented
33C2×#14273760C2211yescharacteristic, complemented
34C2×#14273760C2211yescharacteristic, complemented
35C2×#14273755C2211yescharacteristic
36C22×Dic236C2211yescharacteristic, complemented
37C22×#11745660C2211yescharacteristic
38#16838137C2211yescharacteristic
39#16838130C2211yescharacteristic, complemented
40#16838125C2211yescharacteristic
41#16838125C2211yescharacteristic, complemented
42#16838120—21no—
43#16838115—21no—
44#16838092C2211yescharacteristic
45#16838092C2211yescharacteristic, complemented
46#16838085—21no—
47#16838085—21no—
48#16838076—21no—
49#16838076—21no—
50D4×Dic118C2211yescharacteristic
51D4×Dic118C2211yescharacteristic, complemented
52#16838061C2211yescharacteristic
53#16838061C2211yescharacteristic
54#16838061C2211yescharacteristic
55#16838061C2211yescharacteristic, complemented
56#16838056C2211yescharacteristic, complemented
57#16838051—21no—
58#16838048C2211yescharacteristic
59#16838048C2211yescharacteristic
60#16838040—21no—
61D4×D236C2211yescharacteristic
62#16838024—21no—
63#16837985—21no—
64#16837985—21no—
65#16837959C2211yescharacteristic, complemented
66#16837956—21no—
67#16837952C2211yescharacteristic
68#16837936C2211yescharacteristic
69#16837936C2211yescharacteristic
70#16837936C2211yescharacteristic
71#16837936C2211yescharacteristic, complemented
72#16837936C2211yescharacteristic, complemented
73#16837932—21no—
74#16837932—21no—
75C2×#14273715C2211yescharacteristic
76C2×#14273715C2211yescharacteristic
77#16837874—21no—
78C4×#11745685C2211yescharacteristic, complemented
79C4×#11745687—21no—
80C2×C4×Dic118C2211yescharacteristic, complemented
81C2×C4×Dic118C2211yescharacteristic, complemented
82#16837796C2211yescharacteristic
83#16837796C2211yescharacteristic, complemented
84#16837796C2211yescharacteristic, complemented
85#16837791C2211yescharacteristic
86#16837786C2211yescharacteristic
87#16837786C2211yescharacteristic, complemented
88#16837771C2211yescharacteristic, complemented
89#16837767C2211yescharacteristic
90#16837762C2211yescharacteristic
91#16837762C2211yescharacteristic, complemented
92#16837757C2211yescharacteristic
93#16837757C2211yescharacteristic, complemented
94#16837744C2211yescharacteristic, complemented
95#16837738C2211yescharacteristic, complemented
96#16837733C2211yescharacteristic, complemented
97#16837727C2211yescharacteristic
98#16837721C2211yescharacteristic
99#16837716C2211yescharacteristic
100#16837710C2211yescharacteristic, complemented
101#16837710C2211yescharacteristic, complemented
102#16837710C2211yescharacteristic, complemented
103#16837710C2211yescharacteristic, complemented
104#16837710C2211yescharacteristic, complemented
105#16837703C2211yescharacteristic
106#16837703C2211yescharacteristic, complemented
107#16837703C2211yescharacteristic, complemented
108#16837698C2211yescharacteristic, complemented
109#16837693C2211yescharacteristic, complemented
110#16837660C2211yescharacteristic, complemented
111#16837660C2211yescharacteristic, complemented
112#16837660C2211yescharacteristic, complemented
113#16837655C2211yescharacteristic
114#16837648C2211yescharacteristic
115#16837648C2211yescharacteristic
116#16837648C2211yescharacteristic
117#16837648C2211yescharacteristic, complemented
118#16837643C2211yescharacteristic, complemented
119#16837638C2211yescharacteristic
120#16837631C2211yescharacteristic
121#16837631C2211yescharacteristic, complemented
122#16837625C2211yescharacteristic
123#16837625C2211yescharacteristic
124#16837625C2211yescharacteristic
125#16837625C2211yescharacteristic
126#16837625C2211yescharacteristic
127#16837625C2211yescharacteristic
128#16837625C2211yescharacteristic, complemented
129#16837625C2211yescharacteristic, complemented
130#16837625C2211yescharacteristic, complemented
131#16837625C2211yescharacteristic, complemented
132#16837625C2211yescharacteristic, complemented
133#16837625C2211yescharacteristic, complemented
134#16837625C2211yescharacteristic, complemented
135#16837625C2211yescharacteristic, complemented
136#16837625C2211yescharacteristic, complemented
137#16837625C2211yescharacteristic, complemented
138#16837625C2211yescharacteristic, complemented
139#16837618C2211yescharacteristic
140#16837618C2211yescharacteristic
141#16837618C2211yescharacteristic
142#16837618C2211yescharacteristic, complemented
143#16837618C2211yescharacteristic, complemented
144#16837618C2211yescharacteristic, complemented
145#16837618C2211yescharacteristic, complemented
146#16837613C2211yescharacteristic, complemented
147#16837613C2211yescharacteristic, complemented
148#16837613C2211yescharacteristic, complemented
149#16837608C2211yescharacteristic, complemented
150#16837603C2211yescharacteristic
151#16837603C2211yescharacteristic
152#16837566C2211yescharacteristic, complemented
153#16837566C2211yescharacteristic, complemented
154#16837566C2211yescharacteristic, complemented
155#16837560C2211yescharacteristic, complemented
156#16837560C2211yescharacteristic, complemented
157#16837560C2211yescharacteristic, complemented
158#16837560C2211yescharacteristic, complemented
159#16837560C2211yescharacteristic, complemented
160#16837555C2211yescharacteristic
161#16837555C2211yescharacteristic
162#16837555C2211yescharacteristic
163#16837549C2211yescharacteristic
164#16837549C2211yescharacteristic, complemented
165#16837549C2211yescharacteristic, complemented
166#16837543C2211yescharacteristic
167#16837543C2211yescharacteristic
168#16837543C2211yescharacteristic, complemented
169#16837538C2211yescharacteristic
170#16837515C2211yescharacteristic, complemented
171#16837510C2211yescharacteristic, complemented
172#16837510C2211yescharacteristic, complemented
173#16837510C2211yescharacteristic, complemented
174#16837504C2211yescharacteristic
175#16837504C2211yescharacteristic
176#16837504C2211yescharacteristic, complemented
177#16837504C2211yescharacteristic, complemented
178C4×Dic236C2211yescharacteristic, complemented
179C4×Dic236C2211yescharacteristic, complemented
180C4×#11745660C2211yescharacteristic, complemented
181C4×#11745660C2211yescharacteristic, complemented
182#16837412C2211yescharacteristic, complemented
183#16837408C2211yescharacteristic
184#16837404C2211yescharacteristic, complemented
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×#432C2211yescharacteristic, complemented
198C59×#432C2211yescharacteristic, complemented
199C59×#431C2211yescharacteristic, complemented
200C59×#423C2211yescharacteristic, complemented
201C59×#423C2211yescharacteristic, complemented
202C2×C4⋊C8×C59C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C22×Dic118C2311yescharacteristic
208C22×Dic118C2311yescharacteristic
209C22×Dic118C2311yescharacteristic
210C22×Dic118C2311yescharacteristic
211C22×D236C2311yescharacteristic
212C22×D236C2311yescharacteristic
213C2×D4×D59—21no—
214#14273760—42no—
215#14273760—42no—
216#14273760—42no—
217#14273755—42no—
218C2×Dic236—42no—
219C2×Dic236C2311yescharacteristic
220C2×Dic236C2311yescharacteristic
221C2×Dic236C2311yescharacteristic
222C2×Dic236C2311yescharacteristic
223C2×Dic236C2311yescharacteristic
224C2×Dic236C2311yescharacteristic
225C2×Dic236C2311yescharacteristic
226C2×Dic236C2311yescharacteristic
227C2×Dic236C2311yescharacteristic
228C2×#11745660—42no—
229C2×#11745660C2311yescharacteristic
230C2×#11745660C2311yescharacteristic
231C2×#11745660C2311yescharacteristic
232C2×#11745660C2311yescharacteristic
233C2×#11745660C2311yescharacteristic
234C2×#11745660C2311yescharacteristic
235C2×#11745660C2311yescharacteristic
236C2×#11745660C2311yescharacteristic
237C2×#11745660C2311yescharacteristic
238C2×#11745660C2311yescharacteristic
239C2×#11745660C2311yescharacteristic
240C2×#11745660C2311yescharacteristic
241C2×D472C2311yescharacteristic
242C2×D472C2311yescharacteristic
243C2×D472C2311yescharacteristic
244#14273727C2311yescharacteristic
245#14273727C2311yescharacteristic
246#14273727C2311yescharacteristic
247#14273726—21no—
248#14273726—21no—
249#14273725—21no—
250#14273724C2311yescharacteristic
251#14273722—21no—
252#14273722—21no—
253#14273722—21no—
254#14273722—21no—
255#14273721—21no—
256#14273721—21no—
257#14273721—21no—
258#14273721—21no—
259#14273721—21no—
260#14273720—21no—
261#14273720—21no—
262#14273719—21no—
263#14273719C2311yescharacteristic
264#14273719C2311yescharacteristic
265#14273719C2311yescharacteristic
266#14273717—21no—
267#14273717—21no—
268#14273717—21no—
269#14273717—21no—
270#14273716—21no—
271#14273715—21no—
272#14273715—21no—
273#14273715—21no—
274#14273715—21no—
275#14273715C2311yescharacteristic
276#14273715C2311yescharacteristic
277#14273715C2311yescharacteristic
278#14273715C2311yescharacteristic
279#14273715C2311yescharacteristic
280#14273715C2311yescharacteristic
281#14273715C2311yescharacteristic
282#14273715C2311yescharacteristic
283#14273715C2311yescharacteristic
284#14273713—21no—
285#14273713—21no—
286#14273713—21no—
287#14273713—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712—21no—
292#14273711—21no—
293#14273711—21no—
294#14273710—21no—
295#14273710—21no—
296#14273710—21no—
297#14273710—21no—
298#14273710—21no—
299#14273708—21no—
300#14273708—21no—
301#14273707—21no—
302#14273706—21no—
303#14273706C2311yescharacteristic
304#14273706C2311yescharacteristic
305#14273706C2311yescharacteristic
306#14273706C2311yescharacteristic
307#14273706C2311yescharacteristic
308#14273706C2311yescharacteristic
309#14273706C2311yescharacteristic
310#14273705—21no—
311#14273705—21no—
312#14273705—21no—
313#14273705—21no—
314#14273704—21no—
315#14273704—21no—
316#14273704—21no—
317#14273704—21no—
318#14273703—21no—
319#14273703—21no—
320#14273702—21no—
321#14273701—21no—
322#14273701—21no—
323#14273701C2311yescharacteristic
324#14273701C2311yescharacteristic
325#14273701C2311yescharacteristic
326#14273701C2311yescharacteristic
327#14273701C2311yescharacteristic
328#14273700—21no—
329#14273700—21no—
330#14273699—21no—
331#14273699—21no—
332#14273699—21no—
333#14273699—21no—
334#14273697—21no—
335#14273697—21no—
336#14273695—21no—
337#14273695—21no—
338C4×Dic118—21no—
339C4×Dic118—21no—
340C4×Dic118—21no—
341C4×Dic118—21no—
342C4×Dic118—21no—
343C4×Dic118C2311yescharacteristic
344C4×Dic118C2311yescharacteristic
345C4×Dic118C2311yescharacteristic
346C4×Dic118C2311yescharacteristic
347C4×Dic118C2311yescharacteristic
348C4×Dic118C2311yescharacteristic
349C4×Dic118C2311yescharacteristic
350C4×Dic118C2311yescharacteristic
351C4×Dic118C2311yescharacteristic
352C4×Dic118C2311yescharacteristic
353C4×Dic118C2311yescharacteristic
354#14273692—21no—
355C4×D236—21no—
356C4×D236—21no—
357C4×D236C2311yescharacteristic
358C4×D236C2311yescharacteristic
359C4×D236C2311yescharacteristic
360C4×D236C2311yescharacteristic
361C4×D236C2311yescharacteristic
362D4×Dic59—21no—
363D4×Dic59—21no—
364#14273689—21no—
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4—21no—
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4—21no—
376#14273686—21no—
377#14273686C2311yescharacteristic
378#14273685—21no—
379#14273685—21no—
380#14273684—21no—
381#14273684—21no—
382#14273684—21no—
383#14273684—21no—
384#14273684—21no—
385#14273684—21no—
386#14273683—21no—
387#14273683—21no—
388C2×C4⋊Dic59C2311yescharacteristic
389C2×C4⋊Dic59C2311yescharacteristic
390C2×Dic59⋊C4—21no—
391C2×Dic59⋊C4—21no—
392C2×(C2×D59)⋊C4—21no—
393C2×(C2×D59)⋊C4—21no—
394C2×(C2×D59)⋊C4—21no—
395C2×(C2×D59)⋊C4—21no—
396C22⋊C4×D59—21no—
397C22⋊C4×D59—21no—
398C2×C4×Dic59—21no—
399C2×C4×Dic59—21no—
400C42×D59—21no—
401#14273661C2311yescharacteristic
402#14273661C2311yescharacteristic
403#14273661C2311yescharacteristic
404#14273661C2311yescharacteristic
405#14273659C2311yescharacteristic
406#14273659C2311yescharacteristic
407#14273659C2311yescharacteristic
408#14273659C2311yescharacteristic
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#14273652C2311yescharacteristic
427#14273649C2311yescharacteristic
428#14273649C2311yescharacteristic
429#14273649C2311yescharacteristic
430#14273649C2311yescharacteristic
431#14273649C2311yescharacteristic
432#14273649C2311yescharacteristic
433#14273649C2311yescharacteristic
434#14273649C2311yescharacteristic
435#14273649C2311yescharacteristic
436#14273649C2311yescharacteristic
437#14273649C2311yescharacteristic
438#14273649C2311yescharacteristic
439#14273649C2311yescharacteristic
440#14273649C2311yescharacteristic
441C2×#41×C59D411yescharacteristic
442C2×M16×C59C2311yescharacteristic
443C2×M16×C59C2311yescharacteristic
444C2×M16×C59C2311yescharacteristic
445C2×M16×C59C2311yescharacteristic
446C22×C8×C59C2311yescharacteristic
447C22×C8×C59C2311yescharacteristic
448C4×Q8×C59D411yescharacteristic
449C4×Q8×C59C2311yescharacteristic
450C4×D4×C59D411yescharacteristic
451C4×D4×C59D411yescharacteristic
452C4×D4×C59D411yescharacteristic
453C4×D4×C59C2311yescharacteristic
454C4×D4×C59C2311yescharacteristic
455C4×D4×C59C2311yescharacteristic
456#117×C59D411yescharacteristic
457#117×C59D411yescharacteristic
458#117×C59D411yescharacteristic
459C2×C42×C59C2311yescharacteristic
460C2×C42×C59C2311yescharacteristic
461C2×C42×C59C2311yescharacteristic
462C4⋊C8×C59C2311yescharacteristic
463C4⋊C8×C59C2311yescharacteristic
464C4⋊C8×C59C2311yescharacteristic
465C4⋊C8×C59C2311yescharacteristic
466C4⋊C8×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469C4⋊C8×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472C22⋊C8×C59C2311yescharacteristic
473C22⋊C8×C59C2311yescharacteristic
474C22⋊C8×C59C2311yescharacteristic
475C22⋊C8×C59C2311yescharacteristic
476C22⋊C8×C59C2311yescharacteristic
477C22⋊C8×C59C2311yescharacteristic
478#97×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482C4×C8×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486#41×C59—42no—
487C2×Q8×C59C2×D411yescharacteristic
488C2×D4×C59C2×D411yescharacteristic
489C2×D4×C59C2×D411yescharacteristic
490C2×D4×C59C2×D411yescharacteristic
491C22×C4×C59C2×D411yescharacteristic
492C22×C4×C59C2×D411yescharacteristic
493C22×C4×C59C2×D411yescharacteristic
494C22×C4×C59C2×D411yescharacteristic
495C22×C4×C59C2×D411yescharacteristic
496C22×C4×C59C2×D411yescharacteristic
497C22×C4×C59C2411yescharacteristic
498C22×C4×C59C2411yescharacteristic
499C22×C4×C59C2411yescharacteristic
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C22×Dic59—21no—
509C22×Dic59—21no—
510C22×Dic59—21no—
511C22×Dic59—21no—
512C22×Dic59—21no—
513C22×Dic59—21no—
514#11745687—44no—
515D4×D59—44no—
516#11745685—22no—
517#11745685—41no—
518#11745685—41no—
519#11745685—41no—
520#11745685—41no—
521#11745685—41no—
522C2×D236—21no—
523C2×D236—21no—
524C2×D236—21no—
525C2×D236—21no—
526C2×D236—41no—
527C2×D236—41no—
528C2×D236—41no—
529C2×D236—41no—
530C2×D236C2411yescharacteristic
531C2×D236C2411yescharacteristic
532C2×D236C2411yescharacteristic
533C2×D236C2411yescharacteristic
534C2×C4×D59—21no—
535C2×C4×D59—21no—
536C2×C4×D59—21no—
537C2×C4×D59—21no—
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×Dic118—22no—
543C2×Dic118—22no—
544C2×Dic118—21no—
545C2×Dic118—21no—
546C2×Dic118—21no—
547C2×Dic118—21no—
548C2×Dic118—21no—
549C2×Dic118—41no—
550C2×Dic118—41no—
551C2×Dic118—41no—
552C2×Dic118—41no—
553C2×Dic118—41no—
554C2×Dic118—41no—
555C2×Dic118C2411yescharacteristic
556C2×Dic118C2411yescharacteristic
557C2×Dic118C2411yescharacteristic
558C2×Dic118C2411yescharacteristic
559C2×Dic118C2411yescharacteristic
560C2×Dic118C2411yescharacteristic
561M16×C59—41no—
562M16×C59—41no—
563M16×C59—41no—
564M16×C59—41no—
565C2×C8×C59—41no—
566C2×C8×C59—41no—
567C2×C8×C59C2411yescharacteristic
568C2×C8×C59C2411yescharacteristic
569C2×C8×C59C2411yescharacteristic
570C2×C8×C59C2411yescharacteristic
571C2×C8×C59C2411yescharacteristic
572C2×C8×C59C2411yescharacteristic
573C2×C8×C59C2411yescharacteristic
574C2×C8×C59C2411yescharacteristic
575C4⋊C4×C59C2×D411yescharacteristic
576C4⋊C4×C59C2×D411yescharacteristic
577C4⋊C4×C59C2×D411yescharacteristic
578C4⋊C4×C59C2×D411yescharacteristic
579C4⋊C4×C59C2×D411yescharacteristic
580C4⋊C4×C59C2×D411yescharacteristic
581C22⋊C4×C59C2×D411yescharacteristic
582C22⋊C4×C59C2×D411yescharacteristic
583C22⋊C4×C59C2×D411yescharacteristic
584C22⋊C4×C59C2×D411yescharacteristic
585C22⋊C4×C59C2×D411yescharacteristic
586C22⋊C4×C59C2×D411yescharacteristic
587C42×C59C2×D411yescharacteristic
588C42×C59C2×D411yescharacteristic
589C42×C59C2×D411yescharacteristic
590C42×C59C2×D411yescharacteristic
591C42×C59C2×D411yescharacteristic
592C42×C59C2×D411yescharacteristic
593C42×C59C2411yescharacteristic
594C42×C59C2411yescharacteristic
595C42×C59C2411yescharacteristic
596C42×C59C2411yescharacteristic
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605(C2×D59)⋊C4—21no—
606(C2×D59)⋊C4—21no—
607(C2×D59)⋊C4—21no—
608(C2×D59)⋊C4—21no—
609(C2×D59)⋊C4—21no—
610(C2×D59)⋊C4—21no—
611(C2×D59)⋊C4—21no—
612(C2×D59)⋊C4—21no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633C4⋊Dic59—21no—
634C4⋊Dic59—21no—
635C4⋊Dic59—21no—
636C4⋊Dic59—21no—
637C4⋊Dic59—21no—
638C4⋊Dic59—21no—
639C4⋊Dic59—21no—
640C4⋊Dic59C2411yescharacteristic
641C4⋊Dic59C2411yescharacteristic
642C4⋊Dic59C2411yescharacteristic
643C4⋊Dic59C2411yescharacteristic
644C4⋊Dic59C2411yescharacteristic
645C4⋊Dic59C2411yescharacteristic
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59—21no—
676C4×Dic59—21no—
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682Dic236—22no—
683Dic236—22no—
684Dic236—22no—
685Dic236—41no—
686Dic236—41no—
687Dic236—41no—
688Dic236—41no—
689Dic236—41no—
690Dic236—41no—
691D472—41no—
692D472—41no—
693D472—41no—
694#11745660—22no—
695#11745660—22no—
696#11745660—22no—
697#11745660—41no—
698#11745660—41no—
699#11745660—41no—
700#11745660—41no—
701#11745660—41no—
702#11745660—41no—
703#11745660—41no—
704#11745660—41no—
705#11745660—41no—
706C23×C59C22×D411yescharacteristic
707C23×C59C22×D411yescharacteristic
708C23×C59C22×D411yescharacteristic
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—42no—
714C22×D59—42no—
715C22×D59—81no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59—81no—
719Q8×C59—41no—
720D4×C59—22no—
721D4×C59—22no—
722D4×C59—41no—
723C2×C4×C59—22no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—41no—
731C2×C4×C59—41no—
732C2×C4×C59—41no—
733C2×C4×C59—41no—
734C2×C4×C59—41no—
735C2×C4×C59C22×D411yescharacteristic
736C2×C4×C59C22×D411yescharacteristic
737C2×C4×C59C22×D411yescharacteristic
738C2×C4×C59C22×D411yescharacteristic
739C2×C4×C59C22×D411yescharacteristic
740C2×C4×C59C22×D411yescharacteristic
741C2×C4×C59C22×D411yescharacteristic
742C2×C4×C59C22×D411yescharacteristic
743C2×C4×C59C22×D411yescharacteristic
744C2×C4×C59C22×D411yescharacteristic
745C2×C4×C59C22×D411yescharacteristic
746C2×C4×C59C2511yescharacteristic
747C22⋊D59—42no—
748C22⋊D59—42no—
749C22⋊D59—42no—
750C22⋊D59—42no—
751C22⋊D59—42no—
752C22⋊D59—81no—
753C22⋊D59—81no—
754C22⋊D59—81no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—42no—
768C2×Dic59—42no—
769C2×Dic59—42no—
770C2×Dic59—42no—
771C2×Dic59—81no—
772C2×Dic59—81no—
773D236—21no—
774D236—21no—
775D236—21no—
776D236—21no—
777D236—21no—
778D236—21no—
779D236—21no—
780D236—21no—
781D236—42no—
782D236—81no—
783D236—81no—
784D236—81no—
785C4×D59—42no—
786C4×D59—42no—
787C4×D59—42no—
788C4×D59—42no—
789C4×D59—81no—
790C4×D59—81no—
791C4×D59—81no—
792C4×D59—81no—
793Dic118—21no—
794Dic118—21no—
795Dic118—21no—
796Dic118—21no—
797Dic118—21no—
798Dic118—21no—
799Dic118—21no—
800Dic118—21no—
801Dic118—21no—
802Dic118—21no—
803Dic118—21no—
804Dic118—42no—
805Dic118—42no—
806Dic118—42no—
807Dic118—81no—
808Dic118—81no—
809Dic118H(5,𝔽2)12yes—
810C8×C59—21no—
811C8×C59—21no—
812C8×C59—21no—
813C8×C59—21no—
814C8×C59—21no—
815C8×C59—21no—
816C8×C59—21no—
817C8×C59—21no—
818#61972—591nomaximal, Sylow
819C22×C59—21no—
820C22×C59—21no—
821C22×C59—21no—
822C22×C59—21no—
823C22×C59—21no—
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—21no—
827C22×C59#57512yes—
828C22×C59C23×D411yescharacteristic
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—41no—
836C2×D59—41no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—162no—
842C2×D59—162no—
843C4×C59—21no—
844C4×C59—21no—
845C4×C59—21no—
846C4×C59—21no—
847C4×C59—21no—
848C4×C59—21no—
849C4×C59—21no—
850C4×C59—21no—
851C4×C59—21no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59C2×H(5,𝔽2)11yescharacteristic
855C4×C59#58511yescharacteristic
856Dic59—22no—
857Dic59—41no—
858Dic59—41no—
859Dic59—41no—
860Dic59—41no—
861Dic59—41no—
862Dic59—41no—
863Dic59—41no—
864Dic59—41no—
865Dic59—41no—
866Dic59—41no—
867Dic59—41no—
868#3514—591no—
869#3482—591no—
870#3402—591no—
871#3401—591no—
872#3377—591no—
873#3371—591no—
874#3327—591no—
875#3323—591no—
876#3312—591no—
877#3310—591no—
878#3308—591no—
879#3306—591no—
880#3277—591no—
881#3275—591no—
882#3270—591no—
883#3270—591no—
884#3266—591no—
885#3265—591no—
886#3256—591no—
887#3252—591no—
888#3250—591no—
889#3219—591no—
890#3215—591no—
891#3211—591no—
892#3117—591no—
893#3111—591no—
894#3108—591no—
895#3040—591no—
896#3037—591no—
897C2×#464—591no—
898#2989D5911yescharacteristic, complemented
899C2×C59—22no—
900C2×C59—41no—
901C2×C59—41no—
902C2×C59#348811yescharacteristic
903C2×C59C2×#57511yescharacteristic
904C2×C59#358611yescharacteristic
905D59—81no—
906D59—81no—
907D59—81no—
908D59—81no—
909C2×#137—591no—
910C2×#137—591no—
911C2×#137—591no—
912C2×AGL(1,ℤ/8)—591no—
913C22×Q16—591no—
914C22×SD16—591no—
915#559—591no—
916#557—591no—
917#556—591no—
918#556—591no—
919#556—1181no—
920#555—1181no—
921#552—591no—
922#552—591no—
923#552—1181no—
924#552—1181no—
925#551—1181no—
926#551—1181no—
927D4×Q8—591no—
928D4×Q8—591no—
929#548—591no—
930#548—591no—
931#548—591no—
932#548—591no—
933#547—591no—
934#547—1181no—
935#546—591no—
936#546—591no—
937#546—1181no—
938D42—591no—
939#542—1181no—
940#538—1181no—
941#538—1181no—
942#533—591no—
943#533—1181no—
944#532—591no—
945#529—591no—
946#529—591no—
947#529—591no—
948#529—591no—
949#529—591no—
950#529—1181no—
951#529—1181no—
952C2×#124—591no—
953C2×#124—591no—
954#518—1181no—
955C4×#41—591no—
956C4×#41—1181no—
957C4×#41C2×D5911yescharacteristic
958C2×C4×Q8—591no—
959C2×C4×Q8—591no—
960#497—591no—
961#497—591no—
962#497—591no—
963#496—591no—
964#495—591no—
965#495—591no—
966#491—591no—
967#490—591no—
968#489—591no—
969#489—591no—
970#488—591no—
971#488—591no—
972#485—591no—
973#484—591no—
974#483—591no—
975#482—591no—
976#481—591no—
977#480—591no—
978#479—591no—
979#479—591no—
980#479—591no—
981#479—591no—
982#479—591no—
983#478—591no—
984#478—591no—
985#478—591no—
986#477—591no—
987#476—591no—
988#470—591no—
989#470—591no—
990#470—591no—
991#469—591no—
992#468—591no—
993#468—591no—
994#468—591no—
995#468—591no—
996#467—591no—
997#466—591no—
998#465—591no—
999#465—591no—
1000#464—591no—
1001#464—591no—
1002#464—591no—
1003#464—591no—
1004#464—591no—
1005#464—591no—
1006#464—591no—
1007#464—591no—
1008#464—591no—
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#464—591no—
1015#464—591no—
1016#464—591no—
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#462—591no—
1025#462—591no—
1026#462—591no—
1027#461—591no—
1028#460—591no—
1029#460—591no—
1030#452—591no—
1031#452—591no—
1032#452—591no—
1033#451—591no—
1034#451—591no—
1035#451—591no—
1036#451—591no—
1037#451—591no—
1038#450—591no—
1039#450—591no—
1040#450—591no—
1041#449—591no—
1042#449—591no—
1043#449—591no—
1044#448—591no—
1045#448—591no—
1046#448—591no—
1047#447—591no—
1048#446C2×D5911yescharacteristic, complemented
1049#446C2×D5911yescharacteristic, complemented
1050#442—591no—
1051#441—591no—
1052#441—591no—
1053#441—591no—
1054#440—591no—
1055#440—591no—
1056#440—591no—
1057#440—591no—
1058C4×Q16—591no—
1059C4×Q16—591no—
1060C4×SD16—591no—
1061C4×SD16—591no—
1062#436C2×D5911yescharacteristic, complemented
1063#436C2×D5911yescharacteristic, complemented
1064#435C2×D5911yescharacteristic
1065#435C2×D5911yescharacteristic
1066#435C2×D5911yescharacteristic, complemented
1067#435C2×D5911yescharacteristic, complemented
1068#432C2×D5911yescharacteristic, complemented
1069#432C2×D5911yescharacteristic, complemented
1070#431C2×D5911yescharacteristic, complemented
1071#423C2×D5911yescharacteristic, complemented
1072#423C2×D5911yescharacteristic, complemented
1073C2×C4⋊C8C2×D5911yescharacteristic, complemented
1074#419—591no—
1075#418—591no—
1076#417—591no—
1077#417—591no—
1078C2×#103—591no—
1079C2×#102—591no—
1080C59#6197211yescharacteristic, complemented, Sylow
1081C2×#41—591no—
1082C2×#41—591no—
1083C2×#41—591no—
1084C2×#41—1181no—
1085C2×#41D23611yescharacteristic
1086C22×Q8—591no—
1087C22×Q8—591no—
1088C22×Q8—591no—
1089C22×Q8—591no—
1090C22×D4—591no—
1091C22×D4—591no—
1092C22×D4—1181no—
1093#137—2362no—
1094#137—2362no—
1095#137—2362no—
1096AGL(1,ℤ/8)—2362no—
1097C2×Q16—591no—
1098C2×Q16—591no—
1099C2×Q16—591no—
1100C2×Q16—591no—
1101C2×Q16—591no—
1102C2×Q16—591no—
1103C2×Q16—591no—
1104C2×Q16—591no—
1105C2×Q16—591no—
1106C2×Q16—2362no—
1107C2×SD16—591no—
1108C2×SD16—591no—
1109C2×SD16—591no—
1110C2×SD16—591no—
1111C2×SD16—591no—
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—2362no—
1120C2×D8—591no—
1121C2×D8—591no—
1122C2×D8—591no—
1123C2×M16C22×D5911yescharacteristic
1124C2×M16C22×D5911yescharacteristic
1125C2×M16C22×D5911yescharacteristic
1126C2×M16C22×D5911yescharacteristic
1127C22×C8C22×D5911yescharacteristic
1128C22×C8C22×D5911yescharacteristic
1129C4⋊Q8—591no—
1130C4⋊Q8—591no—
1131C4⋊Q8—591no—
1132C4⋊Q8—1181no—
1133C4⋊Q8—1181no—
1134C4⋊Q8—1181no—
1135#127—591no—
1136#126—1181no—
1137#126—1181no—
1138#126—1181no—
1139#126—1181no—
1140#126—1181no—
1141#126—1181no—
1142#126—1181no—
1143#126—1181no—
1144#126—1181no—
1145#126—1181no—
1146#126—1181no—
1147#125—591no—
1148#125—591no—
1149#125—591no—
1150#125—1181no—
1151#125—1181no—
1152#125—1181no—
1153#125—1181no—
1154#125—1181no—
1155#124—591no—
1156#124—591no—
1157#124—591no—
1158#124—591no—
1159#124—591no—
1160#124—591no—
1161#124—591no—
1162#124—591no—
1163#124—591no—
1164#124—1181no—
1165#124—1181no—
1166#124—1181no—
1167#124—1181no—
1168#124—1181no—
1169#124—1181no—
1170#124—1181no—
1171#124—1181no—
1172#124—1181no—
1173#123—1181no—
1174#123—1181no—
1175#123—1181no—
1176#123—1181no—
1177#123—1181no—
1178#123—1181no—
1179#123—1181no—
1180#123—1181no—
1181#123—1181no—
1182#123—1181no—
1183#123—1181no—
1184#123—1181no—
1185#123—1181no—
1186C22⋊Q8—591no—
1187C22⋊Q8—591no—
1188C22⋊Q8—591no—
1189C22⋊Q8—591no—
1190C22⋊Q8—591no—
1191C22⋊Q8—591no—
1192C22⋊Q8—591no—
1193C22⋊Q8—1181no—
1194C22⋊Q8—1181no—
1195C22⋊Q8—1181no—
1196C22⋊Q8—1181no—
1197C22⋊Q8—1181no—
1198C22⋊Q8—1181no—
1199C22⋊Q8—1181no—
1200C22⋊Q8—1181no—
1201C22⋊Q8—1181no—
1202C22⋊Q8—1181no—
1203C22⋊Q8—1181no—
1204C22⋊Q8—1181no—
1205#121—591no—
1206#121—591no—
1207#121—591no—
1208#121—591no—
1209#121—591no—
1210#121—1181no—
1211#121—1181no—
1212#121—1181no—
1213#121—1181no—
1214#121—1181no—
1215#121—1181no—
1216#121—1181no—
1217#121—1181no—
1218#121—1181no—
1219#120—1181no—
1220#120—1181no—
1221#120—1181no—
1222#120—1181no—
1223C4×Q8—591no—
1224C4×Q8—591no—
1225C4×Q8—591no—
1226C4×Q8—591no—
1227C4×Q8—591no—
1228C4×Q8—591no—
1229C4×Q8—591no—
1230C4×Q8—591no—
1231C4×Q8—591no—
1232C4×Q8—591no—
1233C4×Q8—591no—
1234C4×Q8—1181no—
1235C4×Q8—1181no—
1236C4×Q8—1181no—
1237C4×Q8—1181no—
1238C4×Q8—1181no—
1239C4×Q8—1181no—
1240C4×Q8D23611yescharacteristic
1241C4×Q8C22×D5911yescharacteristic
1242C4×D4—591no—
1243C4×D4—591no—
1244C4×D4—591no—
1245C4×D4—591no—
1246C4×D4—591no—
1247C4×D4—1181no—
1248C4×D4—1181no—
1249C4×D4—1181no—
1250C4×D4—1181no—
1251C4×D4—1181no—
1252C4×D4—1181no—
1253C4×D4—1181no—
1254C4×D4—1181no—
1255C4×D4—1181no—
1256C4×D4—1181no—
1257C4×D4—1181no—
1258C4×D4—1181no—
1259C4×D4—1181no—
1260C4×D4—1181no—
1261C4×D4—1181no—
1262C4×D4—1181no—
1263C4×D4D23611yescharacteristic
1264C4×D4D23611yescharacteristic
1265C4×D4D23611yescharacteristic
1266C4×D4C22×D5911yescharacteristic
1267C4×D4C22×D5911yescharacteristic
1268C4×D4C22×D5911yescharacteristic
1269#117—591no—
1270#117—1181no—
1271#117—1181no—
1272#117—1181no—
1273#117—1181no—
1274#117—1181no—
1275#117—1181no—
1276#117—1181no—
1277#117—1181no—
1278#117—1181no—
1279#117—1181no—
1280#117—1181no—
1281#117D23611yescharacteristic
1282#117D23611yescharacteristic
1283#117D23611yescharacteristic
1284C2×C4⋊C4—591no—
1285C2×C4⋊C4—591no—
1286C2×C4⋊C4—1181no—
1287C2×C4⋊C4—1181no—
1288C2×C22⋊C4—1181no—
1289C2×C22⋊C4—1181no—
1290C2×C22⋊C4—1181no—
1291C2×C22⋊C4—1181no—
1292C2×C22⋊C4—1181no—
1293C2×C22⋊C4—1181no—
1294C2×C42—1181no—
1295C2×C42—1181no—
1296C2×C42—1181no—
1297C2×C42C22×D5911yescharacteristic
1298C2×C42C22×D5911yescharacteristic
1299C2×C42C22×D5911yescharacteristic
1300#107—591no—
1301#107—591no—
1302#107—591no—
1303#107—591no—
1304#106—591no—
1305#106—591no—
1306#106—591no—
1307#106—591no—
1308C4⋊C8C22×D5911yescharacteristic
1309C4⋊C8C22×D5911yescharacteristic
1310C4⋊C8C22×D5911yescharacteristic
1311C4⋊C8C22×D5911yescharacteristic
1312C4⋊C8C22×D5911yescharacteristic
1313C4⋊C8C22×D5911yescharacteristic
1314C4⋊C8C22×D5911yescharacteristic
1315C4⋊C8C22×D5911yescharacteristic
1316C4⋊C8C22×D5911yescharacteristic
1317C4⋊C8C22×D5911yescharacteristic
1318#103—591no—
1319#103—591no—
1320#103—591no—
1321#103—591no—
1322#103—591no—
1323#103—591no—
1324#103—591no—
1325#103—591no—
1326#103—591no—
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103—591no—
1333#103—591no—
1334#103—591no—
1335#103—591no—
1336#102—591no—
1337#102—591no—
1338#102—591no—
1339#102—591no—
1340#102—591no—
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350C22⋊C8C22×D5911yescharacteristic
1351C22⋊C8C22×D5911yescharacteristic
1352C22⋊C8C22×D5911yescharacteristic
1353C22⋊C8C22×D5911yescharacteristic
1354C22⋊C8C22×D5911yescharacteristic
1355C22⋊C8C22×D5911yescharacteristic
1356#97C22×D5911yescharacteristic
1357#97C22×D5911yescharacteristic
1358#97C22×D5911yescharacteristic
1359#97C22×D5911yescharacteristic
1360C4×C8C22×D5911yescharacteristic
1361C4×C8C22×D5911yescharacteristic
1362C24—1181no—
1363C24—1181no—
1364#41—42no—
1365#41—1182no—
1366#41—2361no—
1367#41—2361no—
1368#41—2361no—
1369#41—2361no—
1370#41—2361no—
1371#41—2364no—
1372C2×Q8—591no—
1373C2×Q8—591no—
1374C2×Q8—591no—
1375C2×Q8—591no—
1376C2×Q8—591no—
1377C2×Q8—591no—
1378C2×Q8—1182no—
1379C2×Q8—1182no—
1380C2×Q8—1181no—
1381C2×Q8—1181no—
1382C2×Q8—1181no—
1383C2×Q8—1181no—
1384C2×Q8—1181no—
1385C2×Q8—2361no—
1386C2×Q8—2361no—
1387C2×Q8—2361no—
1388C2×Q8—2361no—
1389C2×Q8—2361no—
1390C2×Q8—2361no—
1391C2×Q8C2×D23611yescharacteristic
1392C2×D4—591no—
1393C2×D4—591no—
1394C2×D4—591no—
1395C2×D4—591no—
1396C2×D4—1181no—
1397C2×D4—1181no—
1398C2×D4—1181no—
1399C2×D4—1181no—
1400C2×D4—1181no—
1401C2×D4—1181no—
1402C2×D4—1181no—
1403C2×D4—1181no—
1404C2×D4—1181no—
1405C2×D4—1181no—
1406C2×D4—1181no—
1407C2×D4—1181no—
1408C2×D4—2361no—
1409C2×D4—2361no—
1410C2×D4—2361no—
1411C2×D4—2361no—
1412C2×D4—2364no—
1413C2×D4C2×D23611yescharacteristic
1414C2×D4C2×D23611yescharacteristic
1415C2×D4C2×D23611yescharacteristic
1416C22×C4—1181no—
1417C22×C4—1181no—
1418C22×C4—1181no—
1419C22×C4—1181no—
1420C22×C4—1181no—
1421C22×C4—1181no—
1422C22×C4—1181no—
1423C22×C4—1181no—
1424C22×C4—1181no—
1425C22×C4—1181no—
1426C22×C4—1181no—
1427C22×C4—1181no—
1428C22×C4—1181no—
1429C22×C4—1181no—
1430C22×C4C2×D23611yescharacteristic
1431C22×C4C2×D23611yescharacteristic
1432C22×C4C2×D23611yescharacteristic
1433C22×C4C2×D23611yescharacteristic
1434C22×C4C2×D23611yescharacteristic
1435C22×C4C2×D23611yescharacteristic
1436C22×C4C23×D5911yescharacteristic
1437C22×C4C23×D5911yescharacteristic
1438C22×C4C23×D5911yescharacteristic
1439Q16—1182no—
1440Q16—1182no—
1441Q16—1182no—
1442Q16—2361no—
1443Q16—2361no—
1444Q16—2361no—
1445Q16—2361no—
1446Q16—2361no—
1447Q16—2361no—
1448SD16—1182no—
1449SD16—1182no—
1450SD16—1182no—
1451SD16—2361no—
1452SD16—2361no—
1453SD16—2361no—
1454SD16—2361no—
1455SD16—2361no—
1456SD16—2361no—
1457SD16—2361no—
1458SD16—2361no—
1459SD16—2361no—
1460D8—2361no—
1461D8—2361no—
1462D8—2361no—
1463M16—41no—
1464M16—41no—
1465M16—41no—
1466M16—41no—
1467C2×C8—41no—
1468C2×C8—41no—
1469C2×C8C23×D5911yescharacteristic
1470C2×C8C23×D5911yescharacteristic
1471C2×C8C23×D5911yescharacteristic
1472C2×C8C23×D5911yescharacteristic
1473C2×C8C23×D5911yescharacteristic
1474C2×C8C23×D5911yescharacteristic
1475C2×C8C23×D5911yescharacteristic
1476C2×C8C23×D5911yescharacteristic
1477C4⋊C4—591no—
1478C4⋊C4—591no—
1479C4⋊C4—591no—
1480C4⋊C4—591no—
1481C4⋊C4—591no—
1482C4⋊C4—591no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4—1181no—
1496C4⋊C4—1181no—
1497C4⋊C4—1181no—
1498C4⋊C4—1181no—
1499C4⋊C4—1181no—
1500C4⋊C4—1181no—
1501C4⋊C4—1181no—
1502C4⋊C4—1181no—
1503C4⋊C4—1181no—
1504C4⋊C4—1181no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4C2×D23611yescharacteristic
1515C4⋊C4C2×D23611yescharacteristic
1516C4⋊C4C2×D23611yescharacteristic
1517C4⋊C4C2×D23611yescharacteristic
1518C4⋊C4C2×D23611yescharacteristic
1519C4⋊C4C2×D23611yescharacteristic
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4—1181no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C22⋊C4—1181no—
1543C22⋊C4—1181no—
1544C22⋊C4—1181no—
1545C22⋊C4—1181no—
1546C22⋊C4—1181no—
1547C22⋊C4—1181no—
1548C22⋊C4—1181no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4C2×D23611yescharacteristic
1557C22⋊C4C2×D23611yescharacteristic
1558C22⋊C4C2×D23611yescharacteristic
1559C22⋊C4C2×D23611yescharacteristic
1560C22⋊C4C2×D23611yescharacteristic
1561C22⋊C4C2×D23611yescharacteristic
1562C42—1181no—
1563C42—1181no—
1564C42—1181no—
1565C42—1181no—
1566C42—1181no—
1567C42—1181no—
1568C42—1181no—
1569C42—1181no—
1570C42—1181no—
1571C42—1181no—
1572C42—1181no—
1573C42—1181no—
1574C42C2×D23611yescharacteristic
1575C42C2×D23611yescharacteristic
1576C42C2×D23611yescharacteristic
1577C42C2×D23611yescharacteristic
1578C42C2×D23611yescharacteristic
1579C42C2×D23611yescharacteristic
1580C42C23×D5911yescharacteristic
1581C42C23×D5911yescharacteristic
1582C42C23×D5911yescharacteristic
1583C42C23×D5911yescharacteristic
1584C23—1181no—
1585C23—1181no—
1586C23—1181no—
1587C23—1181no—
1588C23—4721no—
1589C23—4721no—
1590C23—4721no—
1591C23—4721no—
1592C23—2362no—
1593C23—2362no—
1594C23C22×D23611yescharacteristic
1595C23C22×D23611yescharacteristic
1596C23C22×D23611yescharacteristic
1597Q8—41no—
1598Q8—592no—
1599Q8—1181no—
1600Q8—1181no—
1601Q8—1181no—
1602Q8—1181no—
1603Q8—1181no—
1604Q8—1181no—
1605Q8—1181no—
1606Q8—1181no—
1607Q8—1181no—
1608Q8—1181no—
1609Q8—1181no—
1610Q8—4721no—
1611Q8—4721no—
1612Q8—2362no—
1613Q8—2362no—
1614Q8—2362no—
1615D4—22no—
1616D4—22no—
1617D4—41no—
1618D4—1181no—
1619D4—1181no—
1620D4—1181no—
1621D4—1181no—
1622D4—1181no—
1623D4—1181no—
1624D4—1181no—
1625D4—1181no—
1626D4—4721no—
1627D4—4721no—
1628D4—4721no—
1629D4—4721no—
1630D4—4721no—
1631D4—4721no—
1632D4—2362no—
1633D4—2362no—
1634D4—2362no—
1635D4—2362no—
1636D4—2362no—
1637D4—2362no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—1181no—
1651C2×C4—1181no—
1652C2×C4—1181no—
1653C2×C4—1181no—
1654C2×C4—1181no—
1655C2×C4—1181no—
1656C2×C4—1181no—
1657C2×C4—1181no—
1658C2×C4—1181no—
1659C2×C4—1181no—
1660C2×C4—1181no—
1661C2×C4—1181no—
1662C2×C4—4721no—
1663C2×C4—4721no—
1664C2×C4—4721no—
1665C2×C4—4721no—
1666C2×C4—4721no—
1667C2×C4—4721no—
1668C2×C4—2362no—
1669C2×C4—2362no—
1670C2×C4—2362no—
1671C2×C4—2362no—
1672C2×C4—2362no—
1673C2×C4—2362no—
1674C2×C4—2362no—
1675C2×C4—2362no—
1676C2×C4C22×D23611yescharacteristic
1677C2×C4C22×D23611yescharacteristic
1678C2×C4C22×D23611yescharacteristic
1679C2×C4C22×D23611yescharacteristic
1680C2×C4C22×D23611yescharacteristic
1681C2×C4C22×D23611yescharacteristic
1682C2×C4C22×D23611yescharacteristic
1683C2×C4C22×D23611yescharacteristic
1684C2×C4C22×D23611yescharacteristic
1685C2×C4C22×D23611yescharacteristic
1686C2×C4C22×D23611yescharacteristic
1687C2×C4C24×D5911yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—21no—
1693C8—21no—
1694C8—21no—
1695C8—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—9442no—
1705C22—9442no—
1706C22—2361no—
1707C22—2361no—
1708C22—2361no—
1709C22—2361no—
1710C22—2361no—
1711C22—2361no—
1712C22—2361no—
1713C22—2361no—
1714C22—2361no—
1715C22—2361no—
1716C22—2361no—
1717C22—2361no—
1718C22#1683820212yes—
1719C22C23×D23611yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—1182no—
1732C4—2361no—
1733C4—2361no—
1734C4—2361no—
1735C4—2361no—
1736C4—2361no—
1737C4—2361no—
1738C4—2361no—
1739C4—2361no—
1740C4—2361no—
1741C4—2361no—
1742C4—2361no—
1743C4H(5,𝔽2)×D5911yescharacteristic
1744C4#1683823911yescharacteristic
1745C2—22no—
1746C2—41no—
1747C2—41no—
1748C2—4721no—
1749C2—4721no—
1750C2—4721no—
1751C2—4721no—
1752C2#2143776611yescharacteristic
1753C2C2×#1683820211yescharacteristic
1754C2#2143888411yescharacteristic
subgroupG/H
centerC22C23×D236
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#2989C2
socleC22×C59C23×D4
hypercenter#2989D59
hypocenterC59#61972
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×#41 ◁ #2989

Complements

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

NH ≅ G/Ntype
1. #21438057C2semidirect
2. #21437711C2semidirect
3. #21437177C2semidirect
4. #21437164C2semidirect
5. #21436940C2semidirect
6. #21436866C2semidirect
7. #21436366C2semidirect
8. #21436314C2semidirect
9. #21436149C2semidirect
10. #21436119C2semidirect
11. #21436089C2semidirect
12. #21436059C2semidirect
13. #21435754C2semidirect
14. #21435732C2semidirect
15. #21435671C2semidirect
16. #21435671C2semidirect
17. #21435611C2semidirect
18. #21435596C2semidirect
19. #21435497C2semidirect
20. #21435470C2semidirect
21. #21435448C2semidirect
22. #21435135C2semidirect
23. #21435101C2semidirect
24. #21435063C2semidirect
25. #21434269C2semidirect
26. #21434207C2semidirect
27. #21434178C2semidirect
28. #21433591C2semidirect
29. #21433570C2semidirect
30. C2×#16837625C2semidirect
31. C59×#2989C2semidirect
32. C2×#14273760C22semidirect
33. C2×#14273760C22semidirect
34. C2×#14273760C22semidirect
36. C22×Dic236C22semidirect
39. #16838130C22semidirect
41. #16838125C22semidirect
45. #16838092C22semidirect
51. D4×Dic118C22semidirect
55. #16838061C22semidirect
56. #16838056C22semidirect
65. #16837959C22semidirect
71. #16837936C22semidirect
72. #16837936C22semidirect
78. C4×#11745685C22semidirect
80. C2×C4×Dic118C22semidirect
81. C2×C4×Dic118C22semidirect
83. #16837796C22semidirect
84. #16837796C22semidirect
87. #16837786C22semidirect
88. #16837771C22semidirect
91. #16837762C22semidirect
93. #16837757C22semidirect
94. #16837744C22semidirect
95. #16837738C22semidirect
96. #16837733C22semidirect
100. #16837710C22semidirect
101. #16837710C22semidirect
102. #16837710C22semidirect
103. #16837710C22semidirect
104. #16837710C22semidirect
106. #16837703C22semidirect
107. #16837703C22semidirect
108. #16837698C22semidirect
109. #16837693C22semidirect
110. #16837660C22semidirect
111. #16837660C22semidirect
112. #16837660C22semidirect
117. #16837648C22semidirect
118. #16837643C22semidirect
121. #16837631C22semidirect
128. #16837625C22semidirect
129. #16837625C22semidirect
130. #16837625C22semidirect
131. #16837625C22semidirect
132. #16837625C22semidirect
133. #16837625C22semidirect
134. #16837625C22semidirect
135. #16837625C22semidirect
136. #16837625C22semidirect
137. #16837625C22semidirect
138. #16837625C22semidirect
142. #16837618C22semidirect
143. #16837618C22semidirect
144. #16837618C22semidirect
145. #16837618C22semidirect
146. #16837613C22semidirect
147. #16837613C22semidirect
148. #16837613C22semidirect
149. #16837608C22semidirect
152. #16837566C22semidirect
153. #16837566C22semidirect
154. #16837566C22semidirect
155. #16837560C22semidirect
156. #16837560C22semidirect
157. #16837560C22semidirect
158. #16837560C22semidirect
159. #16837560C22semidirect
164. #16837549C22semidirect
165. #16837549C22semidirect
168. #16837543C22semidirect
170. #16837515C22semidirect
171. #16837510C22semidirect
172. #16837510C22semidirect
173. #16837510C22semidirect
176. #16837504C22semidirect
177. #16837504C22semidirect
178. C4×Dic236C22semidirect
179. C4×Dic236C22semidirect
180. C4×#11745660C22semidirect
181. C4×#11745660C22semidirect
182. #16837412C22semidirect
184. #16837404C22semidirect
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×#432C22semidirect
198. C59×#432C22semidirect
199. C59×#431C22semidirect
200. C59×#423C22semidirect
201. C59×#423C22semidirect
202. C2×C4⋊C8×C59C22semidirect
898. #2989D59semidirect
1048. #446C2×D59semidirect
1049. #446C2×D59semidirect
1062. #436C2×D59semidirect
1063. #436C2×D59semidirect
1066. #435C2×D59semidirect
1067. #435C2×D59semidirect
1068. #432C2×D59semidirect
1069. #432C2×D59semidirect
1070. #431C2×D59semidirect
1071. #423C2×D59semidirect
1072. #423C2×D59semidirect
1073. C2×C4⋊C8C2×D59semidirect
1080. C59#61972semidirect

Maximal subgroups

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

subgroupindex
#214380572
#214377112
#214371772
#214371642
#214369402
#214368662
#214363662
#214363142
#214361492
#214361192
#214360892
#214360592
#214357542
#214357322
#214356712
#214356112
#214355962
#214354972
#214354702
#214354482
#214351352
#214351012
#214350632
#214342692
#214342072
#214341782
#214335912
#214335702
C2×#168376252
C59×#29892
#6197259