Finite Group Databasebeta

← #29470627

Subgroups — #29470627

Order 15104.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437713C211yesmaximal, characteristic, complemented
2D4×#11745685C211yesmaximal, characteristic, complemented
3#21437117C211yesmaximal, characteristic, complemented
4#21437018C211yesmaximal, characteristic, complemented
5#21436826C211yesmaximal, characteristic, complemented
6#21436815C211yesmaximal, characteristic, complemented
7#21436541C211yesmaximal, characteristic, complemented
8#21436532C211yesmaximal, characteristic, complemented
9#21436441C211yesmaximal, characteristic, complemented
10#21436122C211yesmaximal, characteristic, complemented
11#21436113C211yesmaximal, characteristic, complemented
12#21436092C211yesmaximal, characteristic, complemented
13#21436083C211yesmaximal, characteristic, complemented
14#21435957C211yesmaximal, characteristic, complemented
15#21435905C211yesmaximal, characteristic, complemented
16SD16×C22⋊D59C211yesmaximal, characteristic, complemented
17#21435593C211yesmaximal, characteristic, complemented
18#21435591C211yesmaximal, characteristic, complemented
19#21434811C211yesmaximal, characteristic, complemented
20#21434794C211yesmaximal, characteristic, complemented
21#21434790C211yesmaximal, characteristic, complemented
22#21434245C211yesmaximal, characteristic, complemented
23#21434238C211yesmaximal, characteristic, complemented
24#21434234C211yesmaximal, characteristic, complemented
25#21434218C211yesmaximal, characteristic, complemented
26#21434216C211yesmaximal, characteristic, complemented
27#21434193C211yesmaximal, characteristic, complemented
28#21433107C211yesmaximal, characteristic, complemented
29#21432901C211yesmaximal, characteristic, complemented
30#440×D59C211yesmaximal, characteristic, complemented
31C2×C59×#440C211yesmaximal, characteristic, complemented
32C22×#11745685—21no—
33C2×#14273754C2211yescharacteristic
34C2×SD16×D59C2211yescharacteristic
35#16838128C2211yescharacteristic, complemented
36#16838124—21no—
37#16838124C2211yescharacteristic, complemented
38#16838093—21no—
39#16838093C2211yescharacteristic, complemented
40#16838087—21no—
41#16838087C2211yescharacteristic, complemented
42#16838073C2211yescharacteristic
43D4×Dic118C2211yescharacteristic
44Q8×C22⋊D59C2211yescharacteristic, complemented
45#16838064C2211yescharacteristic, complemented
46#16838063C2211yescharacteristic, complemented
47#16838061—21no—
48#16838057C2211yescharacteristic
49#16838053—21no—
50#16838053C2211yescharacteristic
51#16838053C2211yescharacteristic
52#16838053C2211yescharacteristic, complemented
53#16838048—21no—
54#16838042—21no—
55#16838042—21no—
56D4×D236C2211yescharacteristic
57D4×C22⋊D59C2211yescharacteristic
58D4×C22⋊D59C2211yescharacteristic
59#16837956—21no—
60#16837956C2211yescharacteristic, complemented
61#16837952C2211yescharacteristic
62#16837949C2211yescharacteristic
63#16837949C2211yescharacteristic
64#16837939—21no—
65#16837939C2211yescharacteristic, complemented
66#16837936—21no—
67#16837936C2211yescharacteristic, complemented
68#16837913—21no—
69#16837911—21no—
70#16837911—21no—
71C4×#11745689C2211yescharacteristic, complemented
72C4×#11745685—21no—
73C4×#11745685C2211yescharacteristic
74C4×Q8×D59C2211yescharacteristic, complemented
75C4×D4×D59C2211yescharacteristic
76C4×D4×D59C2211yescharacteristic
77#16837811C2211yescharacteristic, complemented
78#16837810C2211yescharacteristic, complemented
79#16837806C2211yescharacteristic, complemented
80#16837791C2211yescharacteristic, complemented
81#16837788C2211yescharacteristic, complemented
82#16837773C2211yescharacteristic, complemented
83#16837767C2211yescharacteristic, complemented
84#16837765C2211yescharacteristic, complemented
85#16837763C2211yescharacteristic, complemented
86#16837762C2211yescharacteristic, complemented
87#16837751C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837739C2211yescharacteristic, complemented
90#16837736C2211yescharacteristic, complemented
91#16837732C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837717C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic, complemented
97#16837715C2211yescharacteristic, complemented
98#16837715C2211yescharacteristic, complemented
99#16837715C2211yescharacteristic, complemented
100#16837714C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837704C2211yescharacteristic
103#16837702C2211yescharacteristic
104#16837702C2211yescharacteristic, complemented
105#16837697C2211yescharacteristic, complemented
106#16837697C2211yescharacteristic, complemented
107#16837696C2211yescharacteristic, complemented
108#16837695C2211yescharacteristic, complemented
109#16837685C2211yescharacteristic, complemented
110#16837681C2211yescharacteristic, complemented
111#16837681C2211yescharacteristic, complemented
112#16837680C2211yescharacteristic
113#16837651C2211yescharacteristic, complemented
114#16837649C2211yescharacteristic, complemented
115#16837647C2211yescharacteristic, complemented
116#16837645C2211yescharacteristic, complemented
117#16837639C2211yescharacteristic, complemented
118#16837638C2211yescharacteristic, complemented
119#16837638C2211yescharacteristic, complemented
120#16837637C2211yescharacteristic, complemented
121#16837634C2211yescharacteristic, complemented
122#16837631C2211yescharacteristic, complemented
123#16837631C2211yescharacteristic, complemented
124#16837628C2211yescharacteristic, complemented
125#16837620C2211yescharacteristic, complemented
126#16837619C2211yescharacteristic
127#16837617C2211yescharacteristic
128#16837617C2211yescharacteristic, complemented
129#16837606C2211yescharacteristic, complemented
130#16837605C2211yescharacteristic
131#16837602C2211yescharacteristic, complemented
132#16837602C2211yescharacteristic, complemented
133#16837601C2211yescharacteristic, complemented
134#16837600C2211yescharacteristic, complemented
135#16837600C2211yescharacteristic, complemented
136#16837596C2211yescharacteristic, complemented
137#16837554C2211yescharacteristic
138#16837553C2211yescharacteristic
139#16837551C2211yescharacteristic
140#16837551C2211yescharacteristic
141#16837550C2211yescharacteristic, complemented
142#16837546C2211yescharacteristic, complemented
143#16837542C2211yescharacteristic, complemented
144#16837541C2211yescharacteristic, complemented
145#16837541C2211yescharacteristic, complemented
146#16837539C2211yescharacteristic, complemented
147#16837537C2211yescharacteristic
148#16837536C2211yescharacteristic
149#16837530C2211yescharacteristic, complemented
150#16837530C2211yescharacteristic, complemented
151#16837515C2211yescharacteristic, complemented
152#16837515C2211yescharacteristic, complemented
153#16837512C2211yescharacteristic
154#16837512C2211yescharacteristic, complemented
155#16837505C2211yescharacteristic, complemented
156#16837504C2211yescharacteristic, complemented
157#16837504C2211yescharacteristic, complemented
158#16837503C2211yescharacteristic
159#16837502C2211yescharacteristic
160#16837502C2211yescharacteristic, complemented
161#16837501C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic, complemented
163#16837500C2211yescharacteristic, complemented
164#16837500C2211yescharacteristic, complemented
165#16837500C2211yescharacteristic, complemented
166#16837499C2211yescharacteristic
167SD16×Dic59C2211yescharacteristic
168#16837487C2211yescharacteristic, complemented
169#16837484C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic
171#16837475C2211yescharacteristic, complemented
172#16837475C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic, complemented
174#16837473C2211yescharacteristic, complemented
175C8×C22⋊D59C2211yescharacteristic, complemented
176C8×C22⋊D59C2211yescharacteristic, complemented
177#16837459C2211yescharacteristic, complemented
178#16837457C2211yescharacteristic, complemented
179#16837457C2211yescharacteristic, complemented
180#16837443C2211yescharacteristic, complemented
181#107×D59C2211yescharacteristic, complemented
182#16837405C2211yescharacteristic
183#16837402C2211yescharacteristic, complemented
184#103×D59C2211yescharacteristic, complemented
185#102×D59C2211yescharacteristic
186#16837354C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C22×SD16×C59C2211yescharacteristic
189C2×C4×Q8×C59C2211yescharacteristic, complemented
190C2×C4×D4×C59C2211yescharacteristic
191C59×#440C2211yescharacteristic
192C59×#440C2211yescharacteristic
193C59×#440C2211yescharacteristic
194C59×#440C2211yescharacteristic
195C59×#440C2211yescharacteristic, complemented
196C59×#440C2211yescharacteristic, complemented
197C59×#440C2211yescharacteristic, complemented
198C59×#440C2211yescharacteristic, complemented
199C2×#107×C59C2211yescharacteristic, complemented
200C2×#103×C59C2211yescharacteristic, complemented
201C2×#102×C59C2211yescharacteristic
202C2×#97×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685—21no—
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685—21no—
211C2×#11745685—21no—
212C2×#11745685—48no—
213C2×#11745685D411yescharacteristic
214C22×Dic118—21no—
215C2×Q8×D59C2311yescharacteristic
216C22×D236—21no—
217C22×C22⋊D59—21no—
218C22×C22⋊D59—21no—
219C2×D4×D59C2311yescharacteristic
220C2×D4×D59C2311yescharacteristic
221C22×C4×D59—21no—
222C22×C4×D59—21no—
223#14273754—24no—
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232SD16×D59—24no—
233C2×D472C2311yescharacteristic
234C2×D472C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745659C2311yescharacteristic
238C2×#11745659C2311yescharacteristic
239C2×C8×D59C2311yescharacteristic
240C2×C8×D59C2311yescharacteristic
241#14273727C2311yescharacteristic
242#14273726—21no—
243#14273726C2311yescharacteristic
244#14273726C2311yescharacteristic
245#14273726C2311yescharacteristic
246#14273725—21no—
247#14273725C2311yescharacteristic
248#14273724C2311yescharacteristic
249#14273723C2311yescharacteristic
250#14273723C2311yescharacteristic
251#14273722—21no—
252#14273722—21no—
253#14273722—21no—
254#14273721—21no—
255#14273721—21no—
256#14273721—21no—
257#14273719—21no—
258#14273719C2311yescharacteristic
259#14273718—21no—
260#14273718C2311yescharacteristic
261#14273717—21no—
262#14273717—21no—
263#14273717—21no—
264#14273716—21no—
265#14273716C2311yescharacteristic
266#14273715—21no—
267#14273715—21no—
268#14273715C2311yescharacteristic
269#14273713—21no—
270#14273713—21no—
271#14273712—21no—
272#14273712—21no—
273#14273712—21no—
274#14273712—21no—
275#14273712—21no—
276#14273710—21no—
277#14273710—21no—
278#14273710—21no—
279#14273710—21no—
280#14273710—21no—
281#14273709—21no—
282#14273709—21no—
283#14273707—21no—
284#14273707C2311yescharacteristic
285#14273706—21no—
286#14273706—21no—
287#14273706—21no—
288#14273706C2311yescharacteristic
289#14273705—21no—
290#14273705—21no—
291#14273705—21no—
292#14273705—21no—
293#14273705—21no—
294#14273704—21no—
295#14273704—21no—
296#14273703—21no—
297#14273703—21no—
298#14273703C2311yescharacteristic
299#14273703C2311yescharacteristic
300#14273702—21no—
301#14273702C2311yescharacteristic
302#14273702C2311yescharacteristic
303#14273702C2311yescharacteristic
304#14273701—21no—
305#14273701—21no—
306#14273701—21no—
307#14273701—21no—
308#14273701C2311yescharacteristic
309#14273701C2311yescharacteristic
310#14273701C2311yescharacteristic
311#14273700—21no—
312#14273700—21no—
313#14273700—21no—
314#14273700—21no—
315#14273699—21no—
316#14273699—21no—
317#14273698C2311yescharacteristic
318#14273698C2311yescharacteristic
319#14273697—21no—
320#14273697—21no—
321#14273696—21no—
322#14273696—21no—
323#14273695—21no—
324#14273695—21no—
325Q8×Dic59C2311yescharacteristic
326Q8×Dic59C2311yescharacteristic
327C4×Dic118—21no—
328C4×Dic118—21no—
329C4×Dic118—21no—
330C4×Dic118D411yescharacteristic
331C4×Dic118C2311yescharacteristic
332C4×Dic118C2311yescharacteristic
333#14273692—21no—
334#14273692C2311yescharacteristic
335C4×D236—21no—
336C4×D236—21no—
337C4×D236—21no—
338C4×D236—21no—
339C4×D236D411yescharacteristic
340C4×D236C2311yescharacteristic
341C4×D236C2311yescharacteristic
342C4×D236C2311yescharacteristic
343C4×D236C2311yescharacteristic
344D4×Dic59C2311yescharacteristic
345D4×Dic59C2311yescharacteristic
346#14273689—21no—
347#14273689C2311yescharacteristic
348#14273689C2311yescharacteristic
349#14273689C2311yescharacteristic
350C4×C22⋊D59—21no—
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59—21no—
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59D411yescharacteristic
358C4×C22⋊D59D411yescharacteristic
359C4×C22⋊D59C2311yescharacteristic
360C4×C22⋊D59C2311yescharacteristic
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363#14273686—21no—
364#14273686D411yescharacteristic
365#14273685—21no—
366#14273685C2311yescharacteristic
367#14273684—21no—
368#14273684—21no—
369#14273684—21no—
370#14273684—21no—
371#14273684—21no—
372#14273684D411yescharacteristic
373#14273684D411yescharacteristic
374C4⋊C4×D59—21no—
375C4⋊C4×D59C2311yescharacteristic
376C4⋊C4×D59C2311yescharacteristic
377C4⋊C4×D59C2311yescharacteristic
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C42×D59—21no—
381C42×D59—21no—
382C42×D59C2311yescharacteristic
383C42×D59C2311yescharacteristic
384#14273661C2311yescharacteristic
385#14273661C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396C4⋊(C59⋊C8)C2311yescharacteristic
397C4⋊(C59⋊C8)C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432#14273638C2311yescharacteristic
433#14273638C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C22×Q8×C59C2311yescharacteristic
439C22×D4×C59C2311yescharacteristic
440C23×C4×C59—21no—
441C2×SD16×C59—24no—
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C22×C8×C59C2311yescharacteristic
447C22×C8×C59C2311yescharacteristic
448C4×Q8×C59—21no—
449C4×Q8×C59—21no—
450C4×Q8×C59C2311yescharacteristic
451C4×Q8×C59C2311yescharacteristic
452C4×Q8×C59C2311yescharacteristic
453C4×Q8×C59C2311yescharacteristic
454C4×D4×C59—21no—
455C4×D4×C59—21no—
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C2×C4⋊C4×C59—21no—
461C2×C4⋊C4×C59C2311yescharacteristic
462C2×C4⋊C4×C59C2311yescharacteristic
463C2×C22⋊C4×C59—21no—
464C2×C42×C59—21no—
465C2×C42×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#107×C59C2311yescharacteristic
469#107×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#97×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482C24×C59—21no—
483C23×D59—21no—
484C23×D59—21no—
485C2×Q8×C59—21no—
486C2×Q8×C59—22no—
487C2×Q8×C59—41no—
488C2×Q8×C59C2411yescharacteristic
489C2×Q8×C59C2411yescharacteristic
490C2×D4×C59—22no—
491C2×D4×C59—21no—
492C2×D4×C59—41no—
493C2×D4×C59C2411yescharacteristic
494C2×D4×C59C2411yescharacteristic
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59—44no—
503C22×C4×C59C2×D411yescharacteristic
504C22×C4×C59C2×D411yescharacteristic
505C22×C4×C59C2411yescharacteristic
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—44no—
518C2×C22⋊D59—44no—
519C2×C22⋊D59C2×D411yescharacteristic
520C2×C22⋊D59C2×D411yescharacteristic
521C22×Dic59—21no—
522C22×Dic59—21no—
523#11745689—22no—
524#11745689—41no—
525Q8×D59—22no—
526Q8×D59—41no—
527D4×D59—22no—
528D4×D59—22no—
529D4×D59—41no—
530D4×D59—41no—
531#11745685—24no—
532#11745685—44no—
533#11745685—44no—
534#11745685—44no—
535#11745685—44no—
536#11745685—44no—
537#11745685—44no—
538#11745685—44no—
539#11745685—44no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—21no—
546C2×D236—44no—
547C2×D236C2×D411yescharacteristic
548C2×D236C2411yescharacteristic
549C2×D236C2411yescharacteristic
550C2×D236C2411yescharacteristic
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—44no—
563C2×C4×D59—44no—
564C2×C4×D59C2×D411yescharacteristic
565C2×C4×D59C2×D411yescharacteristic
566C2×C4×D59C2×D411yescharacteristic
567C2×C4×D59C2×D411yescharacteristic
568C2×C4×D59C2411yescharacteristic
569C2×C4×D59C2411yescharacteristic
570C2×Dic118—21no—
571C2×Dic118—21no—
572C2×Dic118—21no—
573C2×Dic118—21no—
574C2×Dic118—21no—
575C2×Dic118—44no—
576C2×Dic118C2×D411yescharacteristic
577C2×Dic118C2411yescharacteristic
578SD16×C59—22no—
579SD16×C59—22no—
580SD16×C59—22no—
581SD16×C59#4114yescomplemented
582C2×C8×C59—22no—
583C2×C8×C59—41no—
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59—21no—
593C4⋊C4×C59—21no—
594C4⋊C4×C59C2411yescharacteristic
595C4⋊C4×C59C2411yescharacteristic
596C4⋊C4×C59C2411yescharacteristic
597C4⋊C4×C59C2411yescharacteristic
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C42×C59—21no—
603C42×C59—21no—
604C42×C59—21no—
605C42×C59—21no—
606C42×C59C2×D411yescharacteristic
607C42×C59C2×D411yescharacteristic
608C42×C59C2411yescharacteristic
609C42×C59C2411yescharacteristic
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59C2×D411yescharacteristic
616C22⋊Dic59C2×D411yescharacteristic
617#11745671—22no—
618#11745671—22no—
619#11745671—41no—
620#11745671—41no—
621#11745670—22no—
622#11745670—41no—
623#11745669—22no—
624#11745669—41no—
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—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4C2×D411yescharacteristic
646(C2×D59)⋊C4C2×D411yescharacteristic
647(C2×D59)⋊C4C2×D411yescharacteristic
648(C2×D59)⋊C4C2×D411yescharacteristic
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59—21no—
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59C2×D411yescharacteristic
655C4⋊Dic59C2×D411yescharacteristic
656C4⋊Dic59C2411yescharacteristic
657C4⋊Dic59C2411yescharacteristic
658C4⋊Dic59C2411yescharacteristic
659C4⋊Dic59C2411yescharacteristic
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—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2×D411yescharacteristic
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C4×Dic59C2411yescharacteristic
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695D472—22no—
696D472—41no—
697#11745660—22no—
698#11745660—41no—
699#11745659—22no—
700#11745659—41no—
701C8×D59—22no—
702C8×D59—41no—
703C23×C59—21no—
704C23×C59—21no—
705C23×C59—42no—
706C23×C59—42no—
707C23×C59—81no—
708C23×C59C22×D411yescharacteristic
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—42no—
713C22×D59—42no—
714C22×D59—42no—
715C22×D59—42no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59C22×D411yescharacteristic
719C22×D59C22×D411yescharacteristic
720Q8×C59—21no—
721Q8×C59—21no—
722Q8×C59—21no—
723Q8×C59—42no—
724Q8×C59C2×#4112yescomplemented
725D4×C59—21no—
726D4×C59—21no—
727D4×C59—21no—
728D4×C59—42no—
729D4×C59C2×#4112yes—
730C2×C4×C59—22no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—41no—
740C2×C4×C59—42no—
741C2×C4×C59—42no—
742C2×C4×C59—42no—
743C2×C4×C59—42no—
744C2×C4×C59—42no—
745C2×C4×C59—42no—
746C2×C4×C59—42no—
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C2511yescharacteristic
753C22⋊D59—22no—
754C22⋊D59—42no—
755C22⋊D59—42no—
756C22⋊D59—42no—
757C22⋊D59—42no—
758C22⋊D59—42no—
759C22⋊D59—42no—
760C22⋊D59—42no—
761C22⋊D59—42no—
762C22⋊D59—42no—
763C22⋊D59—81no—
764C22⋊D59—81no—
765C22⋊D59AGL(1,ℤ/8)14yescomplemented
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—42no—
772C2×Dic59—42no—
773C2×Dic59C22×D411yescharacteristic
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779D236—22no—
780D236—21no—
781D236—21no—
782D236—21no—
783D236—21no—
784D236—21no—
785D236—21no—
786D236—42no—
787D236—42no—
788D236—42no—
789D236—42no—
790D236—42no—
791D236—81no—
792C4×D59—22no—
793C4×D59—21no—
794C4×D59—21no—
795C4×D59—21no—
796C4×D59—21no—
797C4×D59—22no—
798C4×D59—41no—
799C4×D59—41no—
800C4×D59—42no—
801C4×D59—42no—
802C4×D59—42no—
803C4×D59—42no—
804C4×D59—42no—
805C4×D59—42no—
806C4×D59—42no—
807C4×D59—42no—
808C4×D59—42no—
809C4×D59—42no—
810C4×D59—42no—
811Dic118—22no—
812Dic118—21no—
813Dic118—21no—
814Dic118—42no—
815Dic118—42no—
816Dic118—42no—
817Dic118—42no—
818Dic118—42no—
819C8×C59—21no—
820C8×C59—21no—
821C8×C59—21no—
822C8×C59C2×#4112yescomplemented
823C59⋊C8—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8—21no—
827#61452—591nomaximal, Sylow
828C22×C59—21no—
829C22×C59—21no—
830C22×C59—22no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—84no—
837C22×C59C2×AGL(1,ℤ/8)12yes—
838C22×C59C23×D411yescharacteristic
839C2×D59—21no—
840C2×D59—21no—
841C2×D59—21no—
842C2×D59—21no—
843C2×D59—21no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—84no—
854C2×D59—84no—
855C2×D59C2×AGL(1,ℤ/8)12yes—
856C4×C59—21no—
857C4×C59—21no—
858C4×C59—22no—
859C4×C59—21no—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59C22×#4111yescharacteristic
868C4×C59#58511yescharacteristic
869Dic59—21no—
870Dic59—21no—
871Dic59—21no—
872Dic59—21no—
873Dic59—21no—
874Dic59—41no—
875Dic59—41no—
876Dic59—41no—
877Dic59—41no—
878Dic59—41no—
879Dic59C2×AGL(1,ℤ/8)12yes—
880#3482—591no—
881D4×#41—591no—
882#3397—591no—
883#3386—591no—
884#3368—591no—
885#3367—591no—
886#3343—591no—
887#3343—591no—
888#3334—591no—
889#3310—591no—
890#3310—591no—
891#3308—591no—
892#3308—591no—
893#3298—591no—
894#3294—591no—
895D4×SD16—591no—
896#3265—591no—
897#3265—591no—
898#3182—591no—
899#3180—591no—
900#3180—591no—
901#3115—591no—
902#3114—591no—
903#3114—591no—
904#3112—591no—
905#3112—591no—
906#3110—591no—
907#2970—591no—
908C4×AGL(1,ℤ/8)—591no—
909C2×#440—591no—
910C2×#440D5911yescharacteristic, complemented
911C2×C59—22no—
912C2×C59—42no—
913C2×C59—81no—
914C2×C59D4×#4111yescharacteristic
915C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
916C2×C59#358611yescharacteristic
917D59—22no—
918D59—41no—
919D59—81no—
920D59—81no—
921D59—81no—
922C22×#41—1181no—
923C2×AGL(1,ℤ/8)—591no—
924C22×SD16—591no—
925C22×SD16C2×D5911yescharacteristic
926#557—591no—
927#556—591no—
928#556—1181no—
929#552—591no—
930#552—591no—
931#552—1181no—
932#552—1181no—
933#550—591no—
934D4×Q8—591no—
935D4×Q8—591no—
936#548—591no—
937#548—591no—
938#548—1181no—
939#547—591no—
940#547—591no—
941#547—591no—
942#547—591no—
943#547—1181no—
944#546—1181no—
945#546—1181no—
946#546—1181no—
947D42—591no—
948D42—591no—
949D42—591no—
950#533—591no—
951#533—1181no—
952#532—591no—
953#532—591no—
954#532—591no—
955#529—591no—
956#529—591no—
957#529—1181no—
958#529—1181no—
959#525—1181no—
960#525—1181no—
961#525—1181no—
962C4×#41—591no—
963C4×#41—591no—
964C4×#41—1181no—
965C2×C4×Q8—591no—
966C2×C4×Q8C2×D5911yescharacteristic, complemented
967C2×C4×D4—591no—
968C2×C4×D4—591no—
969C2×C4×D4C2×D5911yescharacteristic
970#501—591no—
971#501—591no—
972#500—591no—
973#496—591no—
974#496—591no—
975#492—591no—
976#490—591no—
977#490—591no—
978#489—591no—
979#489—591no—
980#487—591no—
981#486—591no—
982#484—591no—
983#484—591no—
984#483—591no—
985#483—591no—
986#482—591no—
987#482—591no—
988#480—591no—
989#480—591no—
990#480—591no—
991#480—591no—
992#480—591no—
993#480—591no—
994#478—591no—
995#478—591no—
996#478—591no—
997#478—591no—
998#477—591no—
999#477—591no—
1000#477—591no—
1001#477—591no—
1002#475—591no—
1003#474—591no—
1004#474—591no—
1005#474—591no—
1006#468—591no—
1007#468—591no—
1008#468—591no—
1009#468—591no—
1010#466—591no—
1011#466—591no—
1012#466—591no—
1013#466—591no—
1014#465—591no—
1015#465—591no—
1016#465—591no—
1017#465—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#461—591no—
1023#461—591no—
1024#460—591no—
1025#460—591no—
1026#460—591no—
1027#460—591no—
1028#460—591no—
1029#459—591no—
1030#450—591no—
1031#450—591no—
1032#450—591no—
1033#450—591no—
1034#449—591no—
1035#449—591no—
1036#448—591no—
1037#448—591no—
1038#448—591no—
1039#448—591no—
1040#447—591no—
1041#447—591no—
1042#446—591no—
1043#446—591no—
1044#442—591no—
1045#442—591no—
1046#442—591no—
1047#442—591no—
1048#440—591no—
1049#440—591no—
1050#440—591no—
1051#440—591no—
1052#440—591no—
1053#440—591no—
1054#440—591no—
1055#440—591no—
1056#440—591no—
1057#440—591no—
1058#440—591no—
1059#440—591no—
1060#440C2×D5911yescharacteristic
1061#440C2×D5911yescharacteristic
1062#440C2×D5911yescharacteristic
1063#440C2×D5911yescharacteristic
1064#440C2×D5911yescharacteristic, complemented
1065#440C2×D5911yescharacteristic, complemented
1066#440C2×D5911yescharacteristic, complemented
1067#440C2×D5911yescharacteristic, complemented
1068C4×SD16—591no—
1069C4×SD16—591no—
1070C4×D8—591no—
1071C4×D8—591no—
1072#435—591no—
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076C8×D4—591no—
1077C8×D4—591no—
1078#432—591no—
1079#432—591no—
1080#432—591no—
1081#428—591no—
1082C2×#107—591no—
1083C2×#107C2×D5911yescharacteristic, complemented
1084#418—591no—
1085#417—591no—
1086C2×#103—591no—
1087C2×#103C2×D5911yescharacteristic, complemented
1088C2×#102—591no—
1089C2×#102C2×D5911yescharacteristic
1090C4×M16—591no—
1091C2×#97—591no—
1092C2×#97C2×D5911yescharacteristic, complemented
1093C59#6145211yescharacteristic, complemented, Sylow
1094C2×#41—591no—
1095C2×#41—591no—
1096C2×#41—1181no—
1097C2×#41—1181no—
1098C2×#41—1181no—
1099C2×#41—1181no—
1100C2×#41—1181no—
1101C2×#41—1181no—
1102C2×#41—1181no—
1103C2×#41—1181no—
1104C2×#41—2368no—
1105C22×Q8—591no—
1106C22×Q8—1181no—
1107C22×Q8C22×D5911yescharacteristic
1108C22×D4—591no—
1109C22×D4—591no—
1110C22×D4—1181no—
1111C22×D4—1181no—
1112C22×D4—1181no—
1113C22×D4C22×D5911yescharacteristic
1114C23×C4—21no—
1115C23×C4—1181no—
1116C23×C4—1181no—
1117AGL(1,ℤ/8)—1184no—
1118C2×SD16—24no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—591no—
1127C2×SD16—1184no—
1128C2×SD16C22×D5911yescharacteristic
1129C2×SD16C22×D5911yescharacteristic
1130C2×SD16C22×D5911yescharacteristic
1131C2×SD16C22×D5911yescharacteristic
1132C2×D8—591no—
1133C2×D8—591no—
1134C2×D8—591no—
1135C2×D8—591no—
1136C2×M16—591no—
1137C2×M16—591no—
1138C22×C8—591no—
1139C22×C8—591no—
1140C22×C8C22×D5911yescharacteristic
1141C22×C8C22×D5911yescharacteristic
1142C4⋊Q8—591no—
1143C4⋊Q8—591no—
1144C4⋊Q8—591no—
1145C4⋊Q8—591no—
1146C4⋊Q8—591no—
1147C4⋊Q8—1181no—
1148C4⋊Q8—1181no—
1149#127—591no—
1150#127—591no—
1151#127—591no—
1152#126—1181no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#126—1181no—
1157#126—1181no—
1158#125—591no—
1159#125—591no—
1160#125—1181no—
1161#125—1181no—
1162#125—1181no—
1163#125—1181no—
1164#125—1181no—
1165#124—591no—
1166#124—591no—
1167#124—1181no—
1168#124—1181no—
1169#124—1181no—
1170#124—1181no—
1171#124—1181no—
1172#123—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—
1184C22⋊Q8—591no—
1185C22⋊Q8—591no—
1186C22⋊Q8—591no—
1187C22⋊Q8—591no—
1188C22⋊Q8—1181no—
1189C22⋊Q8—1181no—
1190C22⋊Q8—1181no—
1191C22⋊Q8—1181no—
1192C22⋊Q8—1181no—
1193C22⋊Q8—1181no—
1194C22⋊Q8—1181no—
1195C22⋊Q8—1181no—
1196C22⋊Q8—1181no—
1197C22⋊Q8—1181no—
1198C22⋊Q8—1181no—
1199C22⋊Q8—1181no—
1200C22⋊Q8—1181no—
1201#121—591no—
1202#121—591no—
1203#121—591no—
1204#121—591no—
1205#121—591no—
1206#121—591no—
1207#121—591no—
1208#121—591no—
1209#121—1181no—
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#121—1181no—
1220#120—1181no—
1221#120—1181no—
1222#120—1181no—
1223#120—1181no—
1224#120—1181no—
1225#120—1181no—
1226C4×Q8—21no—
1227C4×Q8—21no—
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×Q8C22×D5911yescharacteristic
1239C4×Q8C22×D5911yescharacteristic
1240C4×Q8C22×D5911yescharacteristic
1241C4×Q8C22×D5911yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—591no—
1245C4×D4—591no—
1246C4×D4—591no—
1247C4×D4—591no—
1248C4×D4—591no—
1249C4×D4—591no—
1250C4×D4—591no—
1251C4×D4—591no—
1252C4×D4—591no—
1253C4×D4—591no—
1254C4×D4—591no—
1255C4×D4—591no—
1256C4×D4—591no—
1257C4×D4—591no—
1258C4×D4—1181no—
1259C4×D4—1181no—
1260C4×D4—1181no—
1261C4×D4—1181no—
1262C4×D4—1181no—
1263C4×D4—1181no—
1264C4×D4—1181no—
1265C4×D4—1181no—
1266C4×D4—1181no—
1267C4×D4—1181no—
1268C4×D4—1181no—
1269C4×D4—1181no—
1270C4×D4—1181no—
1271C4×D4—1181no—
1272C4×D4C22×D5911yescharacteristic
1273C4×D4C22×D5911yescharacteristic
1274C4×D4C22×D5911yescharacteristic
1275C4×D4C22×D5911yescharacteristic
1276#117—591no—
1277#117—591no—
1278#117—591no—
1279#117—591no—
1280#117—1181no—
1281#117—1181no—
1282#117—1181no—
1283#117—1181no—
1284#117—1181no—
1285#117—1181no—
1286#117—1181no—
1287C2×C4⋊C4—21no—
1288C2×C4⋊C4—591no—
1289C2×C4⋊C4—591no—
1290C2×C4⋊C4—591no—
1291C2×C4⋊C4—1181no—
1292C2×C4⋊C4C22×D5911yescharacteristic
1293C2×C4⋊C4C22×D5911yescharacteristic
1294C2×C22⋊C4—21no—
1295C2×C22⋊C4—1181no—
1296C2×C22⋊C4—1181no—
1297C2×C42—21no—
1298C2×C42—591no—
1299C2×C42—591no—
1300C2×C42—1181no—
1301C2×C42—1181no—
1302C2×C42C22×D5911yescharacteristic
1303#107—591no—
1304#107—591no—
1305#107—591no—
1306#107—591no—
1307#107—591no—
1308#107—591no—
1309#107—591no—
1310#107—591no—
1311#107C22×D5911yescharacteristic
1312#107C22×D5911yescharacteristic
1313#107C22×D5911yescharacteristic
1314#107C22×D5911yescharacteristic
1315#106—591no—
1316#106—591no—
1317#106—591no—
1318#106—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8—591no—
1324C4⋊C8—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#103C22×D5911yescharacteristic
1334#103C22×D5911yescharacteristic
1335#103C22×D5911yescharacteristic
1336#103C22×D5911yescharacteristic
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—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102C22×D5911yescharacteristic
1354#102C22×D5911yescharacteristic
1355#102C22×D5911yescharacteristic
1356#102C22×D5911yescharacteristic
1357C22⋊C8—591no—
1358C22⋊C8—591no—
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8—591no—
1362C22⋊C8—591no—
1363#97—591no—
1364#97—591no—
1365#97—591no—
1366#97—591no—
1367#97C22×D5911yescharacteristic
1368#97C22×D5911yescharacteristic
1369#97C22×D5911yescharacteristic
1370#97C22×D5911yescharacteristic
1371C4×C8—591no—
1372C4×C8—591no—
1373C24—21no—
1374C24—1181no—
1375C24—1181no—
1376#41—1184no—
1377#41—1182no—
1378#41—2364no—
1379#41—2364no—
1380#41—2364no—
1381#41—2364no—
1382#41—2364no—
1383#41—2364no—
1384#41—2364no—
1385#41—2364no—
1386#41—2361no—
1387C2×Q8—21no—
1388C2×Q8—22no—
1389C2×Q8—41no—
1390C2×Q8—591no—
1391C2×Q8—591no—
1392C2×Q8—1181no—
1393C2×Q8—1181no—
1394C2×Q8—1181no—
1395C2×Q8—1181no—
1396C2×Q8—1181no—
1397C2×Q8—1182no—
1398C2×Q8—2364no—
1399C2×Q8—2361no—
1400C2×Q8C23×D5911yescharacteristic
1401C2×Q8C23×D5911yescharacteristic
1402C2×D4—22no—
1403C2×D4—21no—
1404C2×D4—41no—
1405C2×D4—591no—
1406C2×D4—591no—
1407C2×D4—591no—
1408C2×D4—591no—
1409C2×D4—591no—
1410C2×D4—591no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1182no—
1422C2×D4—1182no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—2364no—
1431C2×D4—2361no—
1432C2×D4—2361no—
1433C2×D4—2364no—
1434C2×D4—2364no—
1435C2×D4C23×D5911yescharacteristic
1436C2×D4C23×D5911yescharacteristic
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—44no—
1445C22×C4—591no—
1446C22×C4—591no—
1447C22×C4—591no—
1448C22×C4—591no—
1449C22×C4—591no—
1450C22×C4—591no—
1451C22×C4—1181no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—2364no—
1465C22×C4—2364no—
1466C22×C4D4×D5911yescharacteristic
1467C22×C4D4×D5911yescharacteristic
1468C22×C4C23×D5911yescharacteristic
1469SD16—22no—
1470SD16—22no—
1471SD16—22no—
1472SD16—1182no—
1473SD16—1182no—
1474SD16—1182no—
1475SD16—1182no—
1476SD16—2361no—
1477SD16—2361no—
1478SD16—2361no—
1479SD16—2361no—
1480SD16#1174568514yescomplemented
1481D8—1182no—
1482D8—1182no—
1483D8—2361no—
1484D8—2361no—
1485M16—1182no—
1486M16—2361no—
1487C2×C8—22no—
1488C2×C8—41no—
1489C2×C8—591no—
1490C2×C8—591no—
1491C2×C8—591no—
1492C2×C8—591no—
1493C2×C8—1182no—
1494C2×C8—2361no—
1495C2×C8C23×D5911yescharacteristic
1496C2×C8C23×D5911yescharacteristic
1497C2×C8C23×D5911yescharacteristic
1498C2×C8C23×D5911yescharacteristic
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—591no—
1506C4⋊C4—591no—
1507C4⋊C4—591no—
1508C4⋊C4—591no—
1509C4⋊C4—591no—
1510C4⋊C4—591no—
1511C4⋊C4—591no—
1512C4⋊C4—591no—
1513C4⋊C4—591no—
1514C4⋊C4—591no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4C23×D5911yescharacteristic
1537C4⋊C4C23×D5911yescharacteristic
1538C4⋊C4C23×D5911yescharacteristic
1539C4⋊C4C23×D5911yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—591no—
1545C22⋊C4—591no—
1546C22⋊C4—591no—
1547C22⋊C4—591no—
1548C22⋊C4—591no—
1549C22⋊C4—591no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—21no—
1579C42—591no—
1580C42—591no—
1581C42—591no—
1582C42—591no—
1583C42—591no—
1584C42—591no—
1585C42—1181no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42D4×D5911yescharacteristic
1591C42D4×D5911yescharacteristic
1592C42C23×D5911yescharacteristic
1593C42C23×D5911yescharacteristic
1594C23—21no—
1595C23—21no—
1596C23—42no—
1597C23—42no—
1598C23—81no—
1599C23—591no—
1600C23—591no—
1601C23—1181no—
1602C23—1181no—
1603C23—1181no—
1604C23—4721no—
1605C23—4721no—
1606C23—2362no—
1607C23—2362no—
1608C23—2362no—
1609C23—2362no—
1610C23C2×D4×D5911yescharacteristic
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—42no—
1615Q8—1182no—
1616Q8—1181no—
1617Q8—1181no—
1618Q8—2362no—
1619Q8—2362no—
1620Q8—2362no—
1621Q8—2362no—
1622Q8—2362no—
1623Q8C2×#1174568512yescomplemented
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—42no—
1628D4—594no—
1629D4—1182no—
1630D4—1182no—
1631D4—1181no—
1632D4—1181no—
1633D4—1181no—
1634D4—1181no—
1635D4—1181no—
1636D4—1181no—
1637D4—4721no—
1638D4—4721no—
1639D4—4721no—
1640D4—2362no—
1641D4—2362no—
1642D4—2362no—
1643D4—2362no—
1644D4—2362no—
1645D4—2362no—
1646D4—2362no—
1647D4—2362no—
1648D4—2362no—
1649D4—2362no—
1650D4—2362no—
1651D4—2362no—
1652D4—2362no—
1653D4—2362no—
1654D4C2×#1174568512yes—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—41no—
1665C2×C4—42no—
1666C2×C4—42no—
1667C2×C4—42no—
1668C2×C4—42no—
1669C2×C4—42no—
1670C2×C4—42no—
1671C2×C4—42no—
1672C2×C4—591no—
1673C2×C4—591no—
1674C2×C4—591no—
1675C2×C4—591no—
1676C2×C4—591no—
1677C2×C4—591no—
1678C2×C4—1182no—
1679C2×C4—1182no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—1181no—
1685C2×C4—1181no—
1686C2×C4—1181no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—2361no—
1690C2×C4—2361no—
1691C2×C4—2362no—
1692C2×C4—2362no—
1693C2×C4—2362no—
1694C2×C4—2362no—
1695C2×C4—2362no—
1696C2×C4—2362no—
1697C2×C4—2362no—
1698C2×C4—2362no—
1699C2×C4—2362no—
1700C2×C4—2362no—
1701C2×C4—2362no—
1702C2×C4—2362no—
1703C2×C4—2362no—
1704C2×C4C2×D4×D5911yescharacteristic
1705C2×C4C2×D4×D5911yescharacteristic
1706C2×C4C2×D4×D5911yescharacteristic
1707C2×C4C2×D4×D5911yescharacteristic
1708C2×C4C2×D4×D5911yescharacteristic
1709C2×C4C24×D5911yescharacteristic
1710C8—21no—
1711C8—21no—
1712C8—21no—
1713C8—1181no—
1714C8—1181no—
1715C8—1181no—
1716C8—1181no—
1717C8C2×#1174568512yescomplemented
1718C22—21no—
1719C22—21no—
1720C22—22no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—84no—
1727C22—592no—
1728C22—1181no—
1729C22—1181no—
1730C22—1181no—
1731C22—1181no—
1732C22—1181no—
1733C22—4724no—
1734C22—4724no—
1735C22—2361no—
1736C22—2361no—
1737C22—2361no—
1738C22—2361no—
1739C22—2361no—
1740C22—2361no—
1741C22—2361no—
1742C22—2361no—
1743C22—2361no—
1744C22AGL(1,ℤ/8)×D5912yes—
1745C22C22×D4×D5911yescharacteristic
1746C4—21no—
1747C4—21no—
1748C4—21no—
1749C4—22no—
1750C4—21no—
1751C4—21no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—592no—
1758C4—1181no—
1759C4—1181no—
1760C4—1181no—
1761C4—1181no—
1762C4—1181no—
1763C4—2361no—
1764C4—2361no—
1765C4—2361no—
1766C4—2361no—
1767C4—2361no—
1768C4C22×#1174568511yescharacteristic
1769C4#1683823811yescharacteristic
1770C2—22no—
1771C2—42no—
1772C2—81no—
1773C2—1182no—
1774C2—4721no—
1775C2—4721no—
1776C2—4721no—
1777C2—2361no—
1778C2D4×#1174568511yescharacteristic
1779C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1780C2#2143887911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC2×C59×#440C2
socleC22×C59C23×D4
hypercenterC2×#440D59
hypocenterC59#61452
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
1. #21437713C2semidirect
2. D4×#11745685C2semidirect
3. #21437117C2semidirect
4. #21437018C2semidirect
5. #21436826C2semidirect
6. #21436815C2semidirect
7. #21436541C2semidirect
8. #21436532C2semidirect
9. #21436441C2semidirect
10. #21436122C2semidirect
11. #21436113C2semidirect
12. #21436092C2semidirect
13. #21436083C2semidirect
14. #21435957C2semidirect
15. #21435905C2semidirect
16. SD16×C22⋊D59C2semidirect
17. #21435593C2semidirect
18. #21435591C2semidirect
19. #21434811C2semidirect
20. #21434794C2semidirect
21. #21434790C2semidirect
22. #21434245C2semidirect
23. #21434238C2semidirect
24. #21434234C2semidirect
25. #21434218C2semidirect
26. #21434216C2semidirect
27. #21434193C2semidirect
28. #21433107C2semidirect
29. #21432901C2semidirect
30. #440×D59C2semidirect
31. C2×C59×#440C2semidirect
35. #16838128C22semidirect
37. #16838124C22semidirect
39. #16838093C22semidirect
41. #16838087C22semidirect
44. Q8×C22⋊D59C22semidirect
45. #16838064C22semidirect
46. #16838063C22semidirect
52. #16838053C22semidirect
60. #16837956C22semidirect
65. #16837939C22semidirect
67. #16837936C22semidirect
71. C4×#11745689C22semidirect
74. C4×Q8×D59C22semidirect
77. #16837811C22semidirect
78. #16837810C22semidirect
79. #16837806C22semidirect
80. #16837791C22semidirect
81. #16837788C22semidirect
82. #16837773C22semidirect
83. #16837767C22semidirect
84. #16837765C22semidirect
85. #16837763C22semidirect
86. #16837762C22semidirect
87. #16837751C22semidirect
88. #16837747C22semidirect
89. #16837739C22semidirect
90. #16837736C22semidirect
91. #16837732C22semidirect
92. #16837731C22semidirect
93. #16837729C22semidirect
94. #16837725C22semidirect
95. #16837717C22semidirect
96. #16837717C22semidirect
97. #16837715C22semidirect
98. #16837715C22semidirect
99. #16837715C22semidirect
100. #16837714C22semidirect
101. #16837705C22semidirect
104. #16837702C22semidirect
105. #16837697C22semidirect
106. #16837697C22semidirect
107. #16837696C22semidirect
108. #16837695C22semidirect
109. #16837685C22semidirect
110. #16837681C22semidirect
111. #16837681C22semidirect
113. #16837651C22semidirect
114. #16837649C22semidirect
115. #16837647C22semidirect
116. #16837645C22semidirect
117. #16837639C22semidirect
118. #16837638C22semidirect
119. #16837638C22semidirect
120. #16837637C22semidirect
121. #16837634C22semidirect
122. #16837631C22semidirect
123. #16837631C22semidirect
124. #16837628C22semidirect
125. #16837620C22semidirect
128. #16837617C22semidirect
129. #16837606C22semidirect
131. #16837602C22semidirect
132. #16837602C22semidirect
133. #16837601C22semidirect
134. #16837600C22semidirect
135. #16837600C22semidirect
136. #16837596C22semidirect
141. #16837550C22semidirect
142. #16837546C22semidirect
143. #16837542C22semidirect
144. #16837541C22semidirect
145. #16837541C22semidirect
146. #16837539C22semidirect
149. #16837530C22semidirect
150. #16837530C22semidirect
151. #16837515C22semidirect
152. #16837515C22semidirect
154. #16837512C22semidirect
155. #16837505C22semidirect
156. #16837504C22semidirect
157. #16837504C22semidirect
160. #16837502C22semidirect
161. #16837501C22semidirect
162. #16837500C22semidirect
163. #16837500C22semidirect
164. #16837500C22semidirect
165. #16837500C22semidirect
168. #16837487C22semidirect
169. #16837484C22semidirect
171. #16837475C22semidirect
172. #16837475C22semidirect
173. #16837473C22semidirect
174. #16837473C22semidirect
175. C8×C22⋊D59C22semidirect
176. C8×C22⋊D59C22semidirect
177. #16837459C22semidirect
178. #16837457C22semidirect
179. #16837457C22semidirect
180. #16837443C22semidirect
181. #107×D59C22semidirect
183. #16837402C22semidirect
184. #103×D59C22semidirect
186. #16837354C22semidirect
187. #97×D59C22semidirect
189. C2×C4×Q8×C59C22semidirect
195. C59×#440C22semidirect
196. C59×#440C22semidirect
197. C59×#440C22semidirect
198. C59×#440C22semidirect
199. C2×#107×C59C22semidirect
200. C2×#103×C59C22semidirect
202. C2×#97×C59C22semidirect
581. SD16×C59#41semidirect
724. Q8×C59C2×#41semidirect
765. C22⋊D59AGL(1,ℤ/8)semidirect
822. C8×C59C2×#41semidirect
910. C2×#440D59semidirect
966. C2×C4×Q8C2×D59semidirect
1064. #440C2×D59semidirect
1065. #440C2×D59semidirect
1066. #440C2×D59semidirect
1067. #440C2×D59semidirect
1083. C2×#107C2×D59semidirect
1087. C2×#103C2×D59semidirect
1092. C2×#97C2×D59semidirect
1093. C59#61452semidirect
1480. SD16#11745685semidirect
1623. Q8C2×#11745685semidirect
1717. C8C2×#11745685semidirect

Maximal subgroups

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

subgroupindex
#214377132
D4×#117456852
#214371172
#214370182
#214368262
#214368152
#214365412
#214365322
#214364412
#214361222
#214361132
#214360922
#214360832
#214359572
#214359052
SD16×C22⋊D592
#214355932
#214355912
#214348112
#214347942
#214347902
#214342452
#214342382
#214342342
#214342182
#214342162
#214341932
#214331072
#214329012
#440×D592
C2×C59×#4402
#6145259