Finite Group Databasebeta

← #29470735

Subgroups — #29470735

Order 15104.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437700C211yesmaximal, characteristic, complemented
2#21437691C211yesmaximal, characteristic, complemented
3#21437185C211yesmaximal, characteristic, complemented
4#21437042C211yesmaximal, characteristic, complemented
5#21436869C211yesmaximal, characteristic, complemented
6#21436850C211yesmaximal, characteristic, complemented
7#21436646C211yesmaximal, characteristic, complemented
8#21436577C211yesmaximal, characteristic, complemented
9#21436494C211yesmaximal, characteristic, complemented
10#21436233C211yesmaximal, characteristic, complemented
11#21436203C211yesmaximal, characteristic, complemented
12#21436137C211yesmaximal, characteristic, complemented
13#21436107C211yesmaximal, characteristic, complemented
14#21435994C211yesmaximal, characteristic, complemented
15#21435942C211yesmaximal, characteristic, complemented
16#21435803C211yesmaximal, characteristic, complemented
17#21435638C211yesmaximal, characteristic, complemented
18#21435591C211yesmaximal, characteristic, complemented
19#21434821C211yesmaximal, characteristic, complemented
20#21434794C211yesmaximal, characteristic, complemented
21#21434790C211yesmaximal, characteristic, complemented
22#21434267C211yesmaximal, characteristic, complemented
23#21434245C211yesmaximal, characteristic, complemented
24#21434238C211yesmaximal, characteristic, complemented
25#21434209C211yesmaximal, characteristic, complemented
26#21434203C211yesmaximal, characteristic, complemented
27#21434187C211yesmaximal, characteristic, complemented
28#21433107C211yesmaximal, characteristic, complemented
29#21432901C211yesmaximal, characteristic, complemented
30#21432891C211yesmaximal, characteristic, complemented
31C2×C59×#440C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic
33C2×#14273748C2211yescharacteristic
34#16838137—21no—
35#16838137C2211yescharacteristic, complemented
36#16838135C2211yescharacteristic
37#16838131C2211yescharacteristic, complemented
38#16838125—21no—
39#16838125C2211yescharacteristic, complemented
40#16838111C2211yescharacteristic
41#16838107C2211yescharacteristic
42#16838102C2211yescharacteristic
43#16838101—21no—
44#16838100—21no—
45#16838100—21no—
46#16838100C2211yescharacteristic
47#16838100C2211yescharacteristic
48#16838100C2211yescharacteristic, complemented
49#16838081—21no—
50#16838078—21no—
51#16838074C2211yescharacteristic, complemented
52#16838063C2211yescharacteristic
53#16838063C2211yescharacteristic, complemented
54#16838047C2211yescharacteristic
55#16838046C2211yescharacteristic
56#16838042—21no—
57D4×C22⋊D59C2211yescharacteristic
58#16837952—21no—
59#16837952C2211yescharacteristic, complemented
60#16837949C2211yescharacteristic
61#16837939—21no—
62#16837939—21no—
63#16837939C2211yescharacteristic, complemented
64#16837939C2211yescharacteristic, complemented
65#16837936C2211yescharacteristic
66#16837934C2211yescharacteristic
67#16837932—21no—
68#16837913—21no—
69#16837911—21no—
70C4×#11745689C2211yescharacteristic, complemented
71C4×#11745689C2211yescharacteristic, complemented
72C4×#11745685—21no—
73C4×#11745685C2211yescharacteristic
74C4×#11745687C2211yescharacteristic
75C2×C4×C22⋊D59—21no—
76C4×D4×D59C2211yescharacteristic
77#16837811C2211yescharacteristic, complemented
78#16837810C2211yescharacteristic, complemented
79#16837803C2211yescharacteristic, complemented
80#16837791C2211yescharacteristic, complemented
81#16837788C2211yescharacteristic
82#16837783C2211yescharacteristic, complemented
83#16837767C2211yescharacteristic, complemented
84#16837765C2211yescharacteristic
85#16837763C2211yescharacteristic, complemented
86#16837762C2211yescharacteristic, complemented
87#16837758C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837745C2211yescharacteristic, complemented
90#16837742C2211yescharacteristic, complemented
91#16837737C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837725C2211yescharacteristic, complemented
96#16837724C2211yescharacteristic
97#16837720C2211yescharacteristic
98#16837720C2211yescharacteristic, complemented
99#16837720C2211yescharacteristic, complemented
100#16837717C2211yescharacteristic, complemented
101#16837711C2211yescharacteristic, complemented
102#16837709C2211yescharacteristic, complemented
103#16837709C2211yescharacteristic, complemented
104#16837708C2211yescharacteristic, complemented
105#16837705C2211yescharacteristic, complemented
106#16837705C2211yescharacteristic, complemented
107#16837704C2211yescharacteristic
108#16837700C2211yescharacteristic
109#16837692C2211yescharacteristic
110#16837692C2211yescharacteristic, complemented
111#16837685C2211yescharacteristic, complemented
112#16837681C2211yescharacteristic, complemented
113#16837659C2211yescharacteristic, complemented
114#16837654C2211yescharacteristic
115#16837649C2211yescharacteristic, complemented
116#16837645C2211yescharacteristic
117#16837639C2211yescharacteristic, complemented
118#16837638C2211yescharacteristic
119#16837638C2211yescharacteristic
120#16837637C2211yescharacteristic, complemented
121#16837634C2211yescharacteristic, complemented
122#16837631C2211yescharacteristic, complemented
123#16837631C2211yescharacteristic, complemented
124#16837628C2211yescharacteristic, complemented
125#16837627C2211yescharacteristic, complemented
126#16837624C2211yescharacteristic, complemented
127#16837624C2211yescharacteristic, complemented
128#16837622C2211yescharacteristic, complemented
129#16837620C2211yescharacteristic, complemented
130#16837619C2211yescharacteristic
131#16837619C2211yescharacteristic
132#16837616C2211yescharacteristic, complemented
133#16837600C2211yescharacteristic
134#16837597C2211yescharacteristic
135#16837597C2211yescharacteristic, complemented
136#16837596C2211yescharacteristic
137#16837567C2211yescharacteristic, complemented
138#16837561C2211yescharacteristic
139#16837558C2211yescharacteristic, complemented
140#16837551C2211yescharacteristic
141#16837550C2211yescharacteristic, complemented
142#16837548C2211yescharacteristic
143#16837546C2211yescharacteristic
144#16837546C2211yescharacteristic, complemented
145#16837541C2211yescharacteristic
146#16837537C2211yescharacteristic
147#16837536C2211yescharacteristic
148#16837536C2211yescharacteristic
149#16837530C2211yescharacteristic, complemented
150#16837530C2211yescharacteristic, complemented
151#16837515C2211yescharacteristic, complemented
152#16837515C2211yescharacteristic, complemented
153#16837512C2211yescharacteristic
154#16837512C2211yescharacteristic
155#16837512C2211yescharacteristic, complemented
156#16837512C2211yescharacteristic, complemented
157#16837511C2211yescharacteristic
158#16837507C2211yescharacteristic, complemented
159#16837507C2211yescharacteristic, complemented
160#16837506C2211yescharacteristic, complemented
161#16837504C2211yescharacteristic, complemented
162#16837504C2211yescharacteristic, complemented
163#16837503C2211yescharacteristic
164#16837501C2211yescharacteristic, complemented
165#16837500C2211yescharacteristic, complemented
166#16837500C2211yescharacteristic, complemented
167SD16×Dic59C2211yescharacteristic
168#16837487C2211yescharacteristic, complemented
169#16837484C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic
171#16837475C2211yescharacteristic, complemented
172#16837475C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic
174#16837473C2211yescharacteristic
175C8×C22⋊D59C2211yescharacteristic, complemented
176C8×C22⋊D59C2211yescharacteristic, complemented
177#16837459C2211yescharacteristic, complemented
178#16837457C2211yescharacteristic, complemented
179#16837457C2211yescharacteristic, complemented
180#16837443C2211yescharacteristic, complemented
181#16837439C2211yescharacteristic, complemented
182#16837405C2211yescharacteristic
183#16837402C2211yescharacteristic, complemented
184#16837397C2211yescharacteristic, complemented
185#16837395C2211yescharacteristic
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×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685D411yescharacteristic
208C2×#11745687C2311yescharacteristic
209C22×C22⋊D59—21no—
210C2×D4×D59C2311yescharacteristic
211C22×C4×D59—21no—
212#14273754—24no—
213#14273748—24no—
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745660C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745671C2311yescharacteristic
219C2×#11745671C2311yescharacteristic
220C2×D472C2311yescharacteristic
221C2×D472C2311yescharacteristic
222C2×#11745669C2311yescharacteristic
223C2×#11745669C2311yescharacteristic
224C2×#11745669C2311yescharacteristic
225C2×#11745669C2311yescharacteristic
226C2×#11745659C2311yescharacteristic
227C2×#11745659C2311yescharacteristic
228C2×C8×D59C2311yescharacteristic
229C2×C8×D59C2311yescharacteristic
230#14273727—21no—
231#14273727C2311yescharacteristic
232#14273726C2311yescharacteristic
233#14273724—21no—
234#14273724C2311yescharacteristic
235#14273723C2311yescharacteristic
236#14273722—21no—
237#14273722—21no—
238#14273722—21no—
239#14273722—21no—
240#14273722—21no—
241#14273722—21no—
242#14273722—21no—
243#14273721—21no—
244#14273720—21no—
245#14273720—21no—
246#14273719C2311yescharacteristic
247#14273718—21no—
248#14273718—21no—
249#14273718C2311yescharacteristic
250#14273718C2311yescharacteristic
251#14273718C2311yescharacteristic
252#14273717—21no—
253#14273716—21no—
254#14273716—21no—
255#14273716C2311yescharacteristic
256#14273716C2311yescharacteristic
257#14273715—21no—
258#14273715—21no—
259#14273715—21no—
260#14273715C2311yescharacteristic
261#14273714C2311yescharacteristic
262#14273713—21no—
263#14273713—21no—
264#14273712—21no—
265#14273712—21no—
266#14273712—21no—
267#14273712—21no—
268#14273712—21no—
269#14273712—21no—
270#14273712—21no—
271#14273711—21no—
272#14273710—21no—
273#14273710—21no—
274#14273710—21no—
275#14273709—21no—
276#14273709—21no—
277#14273708—21no—
278#14273707C2311yescharacteristic
279#14273706—21no—
280#14273706—21no—
281#14273706C2311yescharacteristic
282#14273705—21no—
283#14273704—21no—
284#14273704—21no—
285#14273703—21no—
286#14273703—21no—
287#14273703C2311yescharacteristic
288#14273703C2311yescharacteristic
289#14273702—21no—
290#14273702—21no—
291#14273702C2311yescharacteristic
292#14273702C2311yescharacteristic
293#14273702C2311yescharacteristic
294#14273701—21no—
295#14273701—21no—
296#14273701—21no—
297#14273701—21no—
298#14273701—21no—
299#14273701—21no—
300#14273701—21no—
301#14273701C2311yescharacteristic
302#14273701C2311yescharacteristic
303#14273701C2311yescharacteristic
304#14273700—21no—
305#14273700—21no—
306#14273699—21no—
307#14273699—21no—
308#14273698C2311yescharacteristic
309#14273698C2311yescharacteristic
310#14273697—21no—
311#14273696—21no—
312#14273696—21no—
313#14273695—21no—
314Q8×Dic59C2311yescharacteristic
315Q8×Dic59C2311yescharacteristic
316C4×Dic118—21no—
317C4×Dic118—21no—
318C4×Dic118D411yescharacteristic
319C4×Dic118C2311yescharacteristic
320C4×Dic118C2311yescharacteristic
321#14273692C2311yescharacteristic
322C4×D236—21no—
323C4×D236—21no—
324C4×D236—21no—
325C4×D236—21no—
326C4×D236—21no—
327C4×D236—21no—
328C4×D236—21no—
329C4×D236D411yescharacteristic
330C4×D236C2311yescharacteristic
331C4×D236C2311yescharacteristic
332C4×D236C2311yescharacteristic
333C4×D236C2311yescharacteristic
334D4×Dic59C2311yescharacteristic
335D4×Dic59C2311yescharacteristic
336#14273689—21no—
337#14273689—21no—
338#14273689C2311yescharacteristic
339#14273689C2311yescharacteristic
340#14273689C2311yescharacteristic
341C4×C22⋊D59—21no—
342C4×C22⋊D59—21no—
343C4×C22⋊D59—21no—
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59—21no—
354C4×C22⋊D59D411yescharacteristic
355C4×C22⋊D59D411yescharacteristic
356C4×C22⋊D59C2311yescharacteristic
357C4×C22⋊D59C2311yescharacteristic
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360#14273686—21no—
361#14273686D411yescharacteristic
362#14273685—21no—
363#14273685—21no—
364#14273685C2311yescharacteristic
365#14273685C2311yescharacteristic
366#14273685C2311yescharacteristic
367#14273684—21no—
368#14273684—21no—
369#14273684—21no—
370#14273684D411yescharacteristic
371#14273684D411yescharacteristic
372#14273683—21no—
373C2×Dic59⋊C4—21no—
374C4⋊C4×D59C2311yescharacteristic
375C2×C22⋊Dic59—21no—
376C2×(C2×D59)⋊C4—21no—
377C22⋊C4×D59—21no—
378C2×C4×Dic59—21no—
379C42×D59—21no—
380C42×D59—21no—
381C42×D59C2311yescharacteristic
382C42×D59C2311yescharacteristic
383#14273661C2311yescharacteristic
384#14273661C2311yescharacteristic
385#14273660C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273659C2311yescharacteristic
388#14273659C2311yescharacteristic
389#14273658C2311yescharacteristic
390#14273658C2311yescharacteristic
391#14273658C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396C4⋊(C59⋊C8)C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401#14273652C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273651C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273647C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431#14273638C2311yescharacteristic
432#14273638C2311yescharacteristic
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C22×Q8×C59C2311yescharacteristic
438C22×D4×C59C2311yescharacteristic
439C23×C4×C59—21no—
440C2×SD16×C59—24no—
441C2×SD16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C22×C8×C59C2311yescharacteristic
446C22×C8×C59C2311yescharacteristic
447C4×Q8×C59—21no—
448C4×Q8×C59—21no—
449C4×Q8×C59C2311yescharacteristic
450C4×Q8×C59C2311yescharacteristic
451C4×Q8×C59C2311yescharacteristic
452C4×Q8×C59C2311yescharacteristic
453C4×D4×C59—21no—
454C4×D4×C59—21no—
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C2×C4⋊C4×C59—21no—
460C2×C4⋊C4×C59C2311yescharacteristic
461C2×C4⋊C4×C59C2311yescharacteristic
462C2×C22⋊C4×C59—21no—
463C2×C42×C59—21no—
464C2×C42×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#107×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#97×C59C2311yescharacteristic
478#97×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C24×C59—21no—
482C23×D59—21no—
483C2×Q8×C59—21no—
484C2×Q8×C59—22no—
485C2×Q8×C59—41no—
486C2×Q8×C59C2411yescharacteristic
487C2×Q8×C59C2411yescharacteristic
488C2×D4×C59—22no—
489C2×D4×C59—21no—
490C2×D4×C59—41no—
491C2×D4×C59C2411yescharacteristic
492C2×D4×C59C2411yescharacteristic
493C22×C4×C59—21no—
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—82no—
501C22×C4×C59C2×D411yescharacteristic
502C22×C4×C59C2×D411yescharacteristic
503C22×C4×C59C2411yescharacteristic
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
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—44no—
514C2×C22⋊D59C2×D411yescharacteristic
515C2×C22⋊D59C2×D411yescharacteristic
516C22×Dic59—21no—
517C22×Dic59—21no—
518C22×Dic59—21no—
519#11745689—22no—
520#11745689—22no—
521#11745689—41no—
522#11745689—41no—
523#11745687—22no—
524#11745687—41no—
525D4×D59—22no—
526D4×D59—41no—
527#11745685—42no—
528#11745685—44no—
529#11745685—82no—
530C2×D236—21no—
531C2×D236—21no—
532C2×D236—21no—
533C2×D236—21no—
534C2×D236—21no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236C2×D411yescharacteristic
538C2×D236C2411yescharacteristic
539C2×D236C2411yescharacteristic
540C2×D236C2411yescharacteristic
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—82no—
551C2×C4×D59C2×D411yescharacteristic
552C2×C4×D59C2×D411yescharacteristic
553C2×C4×D59C2×D411yescharacteristic
554C2×C4×D59C2×D411yescharacteristic
555C2×C4×D59C2411yescharacteristic
556C2×C4×D59C2411yescharacteristic
557C2×Dic118—21no—
558C2×Dic118—21no—
559C2×Dic118C2×D411yescharacteristic
560C2×Dic118C2411yescharacteristic
561SD16×C59—22no—
562SD16×C59—22no—
563SD16×C59—22no—
564SD16×C59#4114yescomplemented
565C2×C8×C59—22no—
566C2×C8×C59—41no—
567C2×C8×C59C2411yescharacteristic
568C2×C8×C59C2411yescharacteristic
569C2×C8×C59C2411yescharacteristic
570C2×C8×C59C2411yescharacteristic
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59—21no—
577C4⋊C4×C59C2411yescharacteristic
578C4⋊C4×C59C2411yescharacteristic
579C4⋊C4×C59C2411yescharacteristic
580C4⋊C4×C59C2411yescharacteristic
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C42×C59—21no—
586C42×C59—21no—
587C42×C59—21no—
588C42×C59—21no—
589C42×C59C2×D411yescharacteristic
590C42×C59C2×D411yescharacteristic
591C42×C59C2411yescharacteristic
592C42×C59C2411yescharacteristic
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59C2×D411yescharacteristic
601C22⋊Dic59C2×D411yescharacteristic
602#11745672—22no—
603#11745672—41no—
604#11745671—22no—
605#11745671—41no—
606#11745669—22no—
607#11745669—22no—
608#11745669—41no—
609#11745669—41no—
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—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4C2×D411yescharacteristic
635(C2×D59)⋊C4C2×D411yescharacteristic
636(C2×D59)⋊C4C2×D411yescharacteristic
637(C2×D59)⋊C4C2×D411yescharacteristic
638C4⋊Dic59—21no—
639C4⋊Dic59—21no—
640C4⋊Dic59—21no—
641C4⋊Dic59—21no—
642C4⋊Dic59—21no—
643C4⋊Dic59—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59C2×D411yescharacteristic
646C4⋊Dic59C2×D411yescharacteristic
647C4⋊Dic59C2411yescharacteristic
648C4⋊Dic59C2411yescharacteristic
649C4⋊Dic59C2411yescharacteristic
650C4⋊Dic59C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
664Dic59⋊C4C2×D411yescharacteristic
665Dic59⋊C4C2×D411yescharacteristic
666Dic59⋊C4C2×D411yescharacteristic
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2411yescharacteristic
679C4×Dic59C2411yescharacteristic
680C2×C59⋊C8C2411yescharacteristic
681C2×C59⋊C8C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684D472—22no—
685D472—41no—
686#11745660—22no—
687#11745660—41no—
688#11745659—22no—
689#11745659—41no—
690C8×D59—22no—
691C8×D59—41no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59—42no—
695C23×C59—42no—
696C23×C59—81no—
697C23×C59C22×D411yescharacteristic
698C22×D59—21no—
699C22×D59—21no—
700C22×D59—21no—
701C22×D59—42no—
702C22×D59—42no—
703C22×D59—81no—
704C22×D59C22×D411yescharacteristic
705C22×D59C22×D411yescharacteristic
706Q8×C59—21no—
707Q8×C59—21no—
708Q8×C59—21no—
709Q8×C59—42no—
710Q8×C59C2×#4112yes—
711D4×C59—21no—
712D4×C59—21no—
713D4×C59—21no—
714D4×C59—42no—
715D4×C59C2×#4112yes—
716C2×C4×C59—22no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—41no—
726C2×C4×C59—42no—
727C2×C4×C59—42no—
728C2×C4×C59—42no—
729C2×C4×C59—81no—
730C2×C4×C59—81no—
731C2×C4×C59—81no—
732C2×C4×C59—81no—
733C2×C4×C59C22×D411yescharacteristic
734C2×C4×C59C22×D411yescharacteristic
735C2×C4×C59C22×D411yescharacteristic
736C2×C4×C59C22×D411yescharacteristic
737C2×C4×C59C22×D411yescharacteristic
738C2×C4×C59C2511yescharacteristic
739C22⋊D59—22no—
740C22⋊D59—22no—
741C22⋊D59—42no—
742C22⋊D59—42no—
743C22⋊D59—42no—
744C22⋊D59—42no—
745C22⋊D59—42no—
746C22⋊D59—42no—
747C22⋊D59—42no—
748C22⋊D59—81no—
749C22⋊D59—81no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—42no—
756C2×Dic59—42no—
757C2×Dic59—81no—
758C2×Dic59C22×D411yescharacteristic
759C2×Dic59C22×D411yescharacteristic
760C2×Dic59C22×D411yescharacteristic
761C2×Dic59C22×D411yescharacteristic
762C2×Dic59C22×D411yescharacteristic
763C2×Dic59C22×D411yescharacteristic
764D236—21no—
765D236—21no—
766D236—21no—
767D236—21no—
768D236—21no—
769D236—21no—
770D236—41no—
771D236—42no—
772D236—42no—
773D236—42no—
774D236—81no—
775D236—81no—
776D236—81no—
777D236—81no—
778C4×D59—21no—
779C4×D59—21no—
780C4×D59—21no—
781C4×D59—21no—
782C4×D59—41no—
783C4×D59—41no—
784C4×D59—41no—
785C4×D59—41no—
786C4×D59—42no—
787C4×D59—42no—
788C4×D59—42no—
789C4×D59—42no—
790C4×D59—42no—
791C4×D59—81no—
792C4×D59—81no—
793C4×D59—81no—
794C4×D59—81no—
795Dic118—21no—
796Dic118—21no—
797Dic118—41no—
798Dic118—42no—
799Dic118—81no—
800C8×C59—21no—
801C8×C59—21no—
802C8×C59—21no—
803C8×C59C2×#4112yes—
804C59⋊C8—21no—
805C59⋊C8—21no—
806C59⋊C8—21no—
807C59⋊C8—21no—
808#61456—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—22no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—84no—
818C22×C59#57512yes—
819C22×C59C23×D411yescharacteristic
820C2×D59—21no—
821C2×D59—21no—
822C2×D59—21no—
823C2×D59—21no—
824C2×D59—21no—
825C2×D59—21no—
826C2×D59—41no—
827C2×D59—41no—
828C2×D59—41no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—84no—
836C4×C59—21no—
837C4×C59—21no—
838C4×C59—22no—
839C4×C59—21no—
840C4×C59—21no—
841C4×C59—21no—
842C4×C59—41no—
843C4×C59—41no—
844C4×C59—41no—
845C4×C59—41no—
846C4×C59—41no—
847C4×C59C22×#4111yescharacteristic
848C4×C59#58511yescharacteristic
849Dic59—21no—
850Dic59—21no—
851Dic59—21no—
852Dic59—21no—
853Dic59—21no—
854Dic59—21no—
855Dic59—41no—
856Dic59—41no—
857Dic59—41no—
858Dic59—41no—
859Dic59—41no—
860#3481—591no—
861#3480—591no—
862#3403—591no—
863#3388—591no—
864#3371—591no—
865#3370—591no—
866#3350—591no—
867#3346—591no—
868#3339—591no—
869#3318—591no—
870#3316—591no—
871#3311—591no—
872#3309—591no—
873#3301—591no—
874#3297—591no—
875#3282—591no—
876#3268—591no—
877#3265—591no—
878#3183—591no—
879#3180—591no—
880#3180—591no—
881#3117—591no—
882#3115—591no—
883#3114—591no—
884#3111—591no—
885#3111—591no—
886#3109—591no—
887#2970—591no—
888C4×AGL(1,ℤ/8)—591no—
889#2943—591no—
890C2×#440D5911yescharacteristic, complemented
891C2×C59—22no—
892C2×C59—42no—
893C2×C59—81no—
894C2×C59D4×#4111yescharacteristic
895C2×C59C2×#57511yescharacteristic
896C2×C59#358511yescharacteristic
897D59—41no—
898D59—41no—
899D59—81no—
900D59—81no—
901D59—81no—
902C2×AGL(1,ℤ/8)—591no—
903C2×#135—591no—
904C22×SD16C2×D5911yescharacteristic
905#559—591no—
906#559—591no—
907#559—1181no—
908#557—591no—
909#556—591no—
910#556—1181no—
911#554—591no—
912#554—591no—
913#553—591no—
914#553—591no—
915#553—591no—
916#553—591no—
917#553—1181no—
918#553—1181no—
919#553—1181no—
920#551—1181no—
921#551—1181no—
922#550—591no—
923#548—591no—
924#548—591no—
925#546—591no—
926#546—591no—
927#546—1181no—
928D42—591no—
929#532—591no—
930#532—591no—
931#532—1181no—
932#529—591no—
933#529—591no—
934#529—591no—
935#529—591no—
936#529—1181no—
937#529—1181no—
938#529—1181no—
939#525—1181no—
940#525—1181no—
941C4×#41—591no—
942C4×#41—591no—
943C4×#41—591no—
944C4×#41—591no—
945C4×#41—1181no—
946C2×C4×Q8C2×D5911yescharacteristic, complemented
947C2×C4×D4—591no—
948C2×C4×D4—1181no—
949C2×C4×D4C2×D5911yescharacteristic
950#501—591no—
951#501—591no—
952#499—591no—
953#496—591no—
954#496—591no—
955#495—591no—
956#490—591no—
957#490—591no—
958#489—591no—
959#489—591no—
960#488—591no—
961#488—591no—
962#485—591no—
963#485—591no—
964#484—591no—
965#483—591no—
966#482—591no—
967#482—591no—
968#482—591no—
969#482—591no—
970#481—591no—
971#481—591no—
972#481—591no—
973#480—591no—
974#479—591no—
975#479—591no—
976#479—591no—
977#479—591no—
978#478—591no—
979#478—591no—
980#478—591no—
981#478—591no—
982#476—591no—
983#476—591no—
984#475—591no—
985#474—591no—
986#470—591no—
987#469—591no—
988#468—591no—
989#468—591no—
990#466—591no—
991#466—591no—
992#466—591no—
993#466—591no—
994#465—591no—
995#465—591no—
996#465—591no—
997#465—591no—
998#464—591no—
999#464—591no—
1000#464—591no—
1001#464—591no—
1002#463—591no—
1003#463—591no—
1004#463—591no—
1005#463—591no—
1006#460—591no—
1007#459—591no—
1008#459—591no—
1009#459—591no—
1010#452—591no—
1011#452—591no—
1012#451—591no—
1013#450—591no—
1014#449—591no—
1015#449—591no—
1016#449—591no—
1017#449—591no—
1018#448—591no—
1019#447—591no—
1020#447—591no—
1021#447—591no—
1022#446—591no—
1023#446—591no—
1024#442—591no—
1025#442—591no—
1026#442—591no—
1027#442—591no—
1028#442—591no—
1029#442—591no—
1030#442—591no—
1031#441—591no—
1032#441—591no—
1033#441—591no—
1034#440—591no—
1035#440—591no—
1036#440—591no—
1037#440—591no—
1038#440—591no—
1039#440—591no—
1040#440C2×D5911yescharacteristic
1041#440C2×D5911yescharacteristic
1042#440C2×D5911yescharacteristic
1043#440C2×D5911yescharacteristic
1044#440C2×D5911yescharacteristic, complemented
1045#440C2×D5911yescharacteristic, complemented
1046#440C2×D5911yescharacteristic, complemented
1047#440C2×D5911yescharacteristic, complemented
1048C4×SD16—591no—
1049C4×SD16—591no—
1050C4×D8—591no—
1051C4×D8—591no—
1052#435—591no—
1053#435—591no—
1054#435—591no—
1055#435—591no—
1056C8×D4—591no—
1057C8×D4—591no—
1058#432—591no—
1059#432—591no—
1060#432—591no—
1061#428—591no—
1062#427—591no—
1063C2×#107C2×D5911yescharacteristic, complemented
1064#418—591no—
1065#417—591no—
1066#416—591no—
1067#416—591no—
1068C2×#103C2×D5911yescharacteristic, complemented
1069C2×#102C2×D5911yescharacteristic
1070C4×M16—591no—
1071C2×#97—591no—
1072C2×#97C2×D5911yescharacteristic, complemented
1073C59#6145611yescharacteristic, complemented, Sylow
1074C2×#41—591no—
1075C2×#41—591no—
1076C2×#41—591no—
1077C2×#41—591no—
1078C2×#41—1181no—
1079C2×#41—1181no—
1080C22×Q8C22×D5911yescharacteristic
1081C22×D4—591no—
1082C22×D4—1181no—
1083C22×D4C22×D5911yescharacteristic
1084C23×C4—21no—
1085C23×C4—1181no—
1086AGL(1,ℤ/8)—1184no—
1087#135—1184no—
1088C2×Q16—591no—
1089C2×Q16—591no—
1090C2×SD16—24no—
1091C2×SD16—591no—
1092C2×SD16—591no—
1093C2×SD16—591no—
1094C2×SD16—591no—
1095C2×SD16C22×D5911yescharacteristic
1096C2×SD16C22×D5911yescharacteristic
1097C2×SD16C22×D5911yescharacteristic
1098C2×SD16C22×D5911yescharacteristic
1099C2×D8—591no—
1100C2×D8—591no—
1101C2×D8—591no—
1102C2×D8—591no—
1103C2×D8—591no—
1104C2×D8—591no—
1105C2×M16—591no—
1106C2×M16—591no—
1107C22×C8—591no—
1108C22×C8—591no—
1109C22×C8C22×D5911yescharacteristic
1110C22×C8C22×D5911yescharacteristic
1111C4⋊Q8—591no—
1112C4⋊Q8—591no—
1113C4⋊Q8—1181no—
1114#127—591no—
1115#127—591no—
1116#127—1181no—
1117#126—1181no—
1118#126—1181no—
1119#126—1181no—
1120#126—1181no—
1121#126—1181no—
1122#126—1181no—
1123#126—1181no—
1124#126—1181no—
1125#126—1181no—
1126#126—1181no—
1127#125—591no—
1128#125—591no—
1129#125—591no—
1130#125—591no—
1131#125—1181no—
1132#125—1181no—
1133#125—1181no—
1134#124—591no—
1135#124—591no—
1136#124—591no—
1137#124—591no—
1138#124—1181no—
1139#124—1181no—
1140#124—1181no—
1141#124—1181no—
1142#124—1181no—
1143#124—1181no—
1144#124—1181no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151#123—1181no—
1152#123—1181no—
1153#123—1181no—
1154#123—1181no—
1155#123—1181no—
1156#123—1181no—
1157#123—1181no—
1158#123—1181no—
1159C22⋊Q8—591no—
1160C22⋊Q8—591no—
1161C22⋊Q8—591no—
1162C22⋊Q8—591no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8—1181no—
1169C22⋊Q8—1181no—
1170#121—591no—
1171#121—591no—
1172#121—591no—
1173#121—591no—
1174#121—591no—
1175#121—591no—
1176#121—591no—
1177#121—591no—
1178#121—1181no—
1179#121—1181no—
1180#121—1181no—
1181#121—1181no—
1182#121—1181no—
1183#121—1181no—
1184#121—1181no—
1185#121—1181no—
1186#121—1181no—
1187#121—1181no—
1188#121—1181no—
1189#121—1181no—
1190#121—1181no—
1191#120—1181no—
1192#120—1181no—
1193#120—1181no—
1194#120—1181no—
1195C4×Q8—21no—
1196C4×Q8—21no—
1197C4×Q8—591no—
1198C4×Q8—591no—
1199C4×Q8—591no—
1200C4×Q8—591no—
1201C4×Q8—591no—
1202C4×Q8—591no—
1203C4×Q8—1181no—
1204C4×Q8—1181no—
1205C4×Q8C22×D5911yescharacteristic
1206C4×Q8C22×D5911yescharacteristic
1207C4×Q8C22×D5911yescharacteristic
1208C4×Q8C22×D5911yescharacteristic
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—591no—
1212C4×D4—591no—
1213C4×D4—591no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—591no—
1221C4×D4—591no—
1222C4×D4—591no—
1223C4×D4—591no—
1224C4×D4—591no—
1225C4×D4—1181no—
1226C4×D4—1181no—
1227C4×D4—1181no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4—1181no—
1239C4×D4—1181no—
1240C4×D4—1181no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4—1181no—
1244C4×D4—1181no—
1245C4×D4—1181no—
1246C4×D4—1181no—
1247C4×D4—1181no—
1248C4×D4—1181no—
1249C4×D4C22×D5911yescharacteristic
1250C4×D4C22×D5911yescharacteristic
1251C4×D4C22×D5911yescharacteristic
1252C4×D4C22×D5911yescharacteristic
1253#117—591no—
1254#117—591no—
1255#117—591no—
1256#117—591no—
1257#117—591no—
1258#117—591no—
1259#117—1181no—
1260#117—1181no—
1261#117—1181no—
1262#117—1181no—
1263#117—1181no—
1264#117—1181no—
1265#117—1181no—
1266C2×C4⋊C4—21no—
1267C2×C4⋊C4—591no—
1268C2×C4⋊C4—1181no—
1269C2×C4⋊C4C22×D5911yescharacteristic
1270C2×C4⋊C4C22×D5911yescharacteristic
1271C2×C22⋊C4—21no—
1272C2×C22⋊C4—1181no—
1273C2×C22⋊C4—1181no—
1274C2×C22⋊C4—1181no—
1275C2×C42—21no—
1276C2×C42—591no—
1277C2×C42—591no—
1278C2×C42—1181no—
1279C2×C42—1181no—
1280C2×C42—1181no—
1281C2×C42C22×D5911yescharacteristic
1282#107—591no—
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107C22×D5911yescharacteristic
1287#107C22×D5911yescharacteristic
1288#107C22×D5911yescharacteristic
1289#107C22×D5911yescharacteristic
1290#106—591no—
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106—591no—
1295#106—591no—
1296#106—591no—
1297#106—591no—
1298C4⋊C8—591no—
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302C4⋊C8—591no—
1303C4⋊C8—591no—
1304#103—591no—
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103—591no—
1312#103C22×D5911yescharacteristic
1313#103C22×D5911yescharacteristic
1314#103C22×D5911yescharacteristic
1315#103C22×D5911yescharacteristic
1316#102—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102—591no—
1326#102—591no—
1327#102—591no—
1328#102—591no—
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102C22×D5911yescharacteristic
1333#102C22×D5911yescharacteristic
1334#102C22×D5911yescharacteristic
1335#102C22×D5911yescharacteristic
1336C22⋊C8—591no—
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340C22⋊C8—591no—
1341C22⋊C8—591no—
1342#97—591no—
1343#97—591no—
1344#97—591no—
1345#97—591no—
1346#97C22×D5911yescharacteristic
1347#97C22×D5911yescharacteristic
1348#97C22×D5911yescharacteristic
1349#97C22×D5911yescharacteristic
1350C4×C8—591no—
1351C4×C8—591no—
1352C24—21no—
1353C24—1181no—
1354#41—1182no—
1355#41—1182no—
1356#41—1182no—
1357#41—4722no—
1358#41—2362no—
1359#41—2364no—
1360#41—2361no—
1361#41—2361no—
1362#41—2361no—
1363C2×Q8—21no—
1364C2×Q8—22no—
1365C2×Q8—41no—
1366C2×Q8—591no—
1367C2×Q8—591no—
1368C2×Q8—1181no—
1369C2×Q8—1181no—
1370C2×Q8C23×D5911yescharacteristic
1371C2×Q8C23×D5911yescharacteristic
1372C2×D4—22no—
1373C2×D4—21no—
1374C2×D4—41no—
1375C2×D4—591no—
1376C2×D4—591no—
1377C2×D4—591no—
1378C2×D4—591no—
1379C2×D4—591no—
1380C2×D4—591no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—1181no—
1386C2×D4—1181no—
1387C2×D4—1181no—
1388C2×D4—1181no—
1389C2×D4—1182no—
1390C2×D4—1181no—
1391C2×D4—1181no—
1392C2×D4—1181no—
1393C2×D4—1181no—
1394C2×D4—1181no—
1395C2×D4—1181no—
1396C2×D4—1181no—
1397C2×D4—1181no—
1398C2×D4—2361no—
1399C2×D4—2364no—
1400C2×D4C23×D5911yescharacteristic
1401C2×D4C23×D5911yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—82no—
1410C22×C4—591no—
1411C22×C4—591no—
1412C22×C4—591no—
1413C22×C4—591no—
1414C22×C4—591no—
1415C22×C4—591no—
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—4722no—
1429C22×C4D4×D5911yescharacteristic
1430C22×C4D4×D5911yescharacteristic
1431C22×C4C23×D5911yescharacteristic
1432Q16—1182no—
1433Q16—2361no—
1434SD16—22no—
1435SD16—22no—
1436SD16—22no—
1437SD16—1182no—
1438SD16—1182no—
1439SD16—2361no—
1440SD16—2361no—
1441SD16#1174568514yescomplemented
1442D8—1182no—
1443D8—1182no—
1444D8—1182no—
1445D8—2361no—
1446D8—2361no—
1447D8—2361no—
1448M16—1182no—
1449M16—2361no—
1450C2×C8—22no—
1451C2×C8—41no—
1452C2×C8—591no—
1453C2×C8—591no—
1454C2×C8—591no—
1455C2×C8—591no—
1456C2×C8—1182no—
1457C2×C8—2361no—
1458C2×C8C23×D5911yescharacteristic
1459C2×C8C23×D5911yescharacteristic
1460C2×C8C23×D5911yescharacteristic
1461C2×C8C23×D5911yescharacteristic
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—591no—
1469C4⋊C4—591no—
1470C4⋊C4—591no—
1471C4⋊C4—591no—
1472C4⋊C4—591no—
1473C4⋊C4—591no—
1474C4⋊C4—591no—
1475C4⋊C4—591no—
1476C4⋊C4—591no—
1477C4⋊C4—591no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4—1181no—
1496C4⋊C4—1181no—
1497C4⋊C4C23×D5911yescharacteristic
1498C4⋊C4C23×D5911yescharacteristic
1499C4⋊C4C23×D5911yescharacteristic
1500C4⋊C4C23×D5911yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—591no—
1506C22⋊C4—591no—
1507C22⋊C4—591no—
1508C22⋊C4—591no—
1509C22⋊C4—591no—
1510C22⋊C4—591no—
1511C22⋊C4—1181no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
1514C22⋊C4—1181no—
1515C22⋊C4—1181no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊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—
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42—21no—
1546C42—591no—
1547C42—591no—
1548C42—591no—
1549C42—591no—
1550C42—591no—
1551C42—591no—
1552C42—1181no—
1553C42—1181no—
1554C42—1181no—
1555C42—1181no—
1556C42—1181no—
1557C42—1181no—
1558C42—1181no—
1559C42D4×D5911yescharacteristic
1560C42D4×D5911yescharacteristic
1561C42C23×D5911yescharacteristic
1562C42C23×D5911yescharacteristic
1563C23—21no—
1564C23—21no—
1565C23—42no—
1566C23—42no—
1567C23—81no—
1568C23—591no—
1569C23—591no—
1570C23—1181no—
1571C23—1181no—
1572C23—1181no—
1573C23—4721no—
1574C23—2362no—
1575C23—2362no—
1576C23C2×D4×D5911yescharacteristic
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—42no—
1581Q8—1181no—
1582Q8—1181no—
1583Q8—4721no—
1584Q8—2361no—
1585Q8—2362no—
1586Q8C2×#1174568512yes—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—42no—
1591D4—1182no—
1592D4—1182no—
1593D4—1181no—
1594D4—1181no—
1595D4—1181no—
1596D4—1181no—
1597D4—1181no—
1598D4—1181no—
1599D4—4721no—
1600D4—4721no—
1601D4—4721no—
1602D4—4721no—
1603D4—4721no—
1604D4—4721no—
1605D4—2361no—
1606D4—2362no—
1607D4—2362no—
1608D4—2362no—
1609D4—2362no—
1610D4—2362no—
1611D4—2362no—
1612D4—2362no—
1613D4—2362no—
1614D4—2362no—
1615D4—2362no—
1616D4C2×#1174568512yes—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—41no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—591no—
1635C2×C4—591no—
1636C2×C4—591no—
1637C2×C4—591no—
1638C2×C4—591no—
1639C2×C4—591no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—1181no—
1648C2×C4—1181no—
1649C2×C4—4721no—
1650C2×C4—4721no—
1651C2×C4—4721no—
1652C2×C4—4721no—
1653C2×C4—4721no—
1654C2×C4—2361no—
1655C2×C4—2361no—
1656C2×C4—2361no—
1657C2×C4—2361no—
1658C2×C4—2362no—
1659C2×C4—2362no—
1660C2×C4—2362no—
1661C2×C4—2362no—
1662C2×C4—2362no—
1663C2×C4—2362no—
1664C2×C4—2362no—
1665C2×C4C2×D4×D5911yescharacteristic
1666C2×C4C2×D4×D5911yescharacteristic
1667C2×C4C2×D4×D5911yescharacteristic
1668C2×C4C2×D4×D5911yescharacteristic
1669C2×C4C2×D4×D5911yescharacteristic
1670C2×C4C24×D5911yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—1181no—
1675C8—1181no—
1676C8—1181no—
1677C8—1181no—
1678C8C2×#1174568512yes—
1679C22—21no—
1680C22—21no—
1681C22—22no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—84no—
1688C22—1181no—
1689C22—1181no—
1690C22—1181no—
1691C22—1181no—
1692C22—1181no—
1693C22—1181no—
1694C22—4724no—
1695C22—2361no—
1696C22—2361no—
1697C22—2361no—
1698C22—2361no—
1699C22—2361no—
1700C22—2361no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22#1683820112yes—
1705C22C22×D4×D5911yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—22no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—1181no—
1718C4—1181no—
1719C4—1181no—
1720C4—1181no—
1721C4—1181no—
1722C4—1181no—
1723C4—2361no—
1724C4—2361no—
1725C4—2361no—
1726C4—2361no—
1727C4—2361no—
1728C4C22×#1174568511yescharacteristic
1729C4#1683823811yescharacteristic
1730C2—22no—
1731C2—42no—
1732C2—81no—
1733C2—4721no—
1734C2—4721no—
1735C2—4721no—
1736C2—2361no—
1737C2—2361no—
1738C2D4×#1174568511yescharacteristic
1739C2C2×#1683820111yescharacteristic
1740C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC2×C59×#440C2
socleC22×C59C23×D4
hypercenterC2×#440D59
hypocenterC59#61456
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. #21437700C2semidirect
2. #21437691C2semidirect
3. #21437185C2semidirect
4. #21437042C2semidirect
5. #21436869C2semidirect
6. #21436850C2semidirect
7. #21436646C2semidirect
8. #21436577C2semidirect
9. #21436494C2semidirect
10. #21436233C2semidirect
11. #21436203C2semidirect
12. #21436137C2semidirect
13. #21436107C2semidirect
14. #21435994C2semidirect
15. #21435942C2semidirect
16. #21435803C2semidirect
17. #21435638C2semidirect
18. #21435591C2semidirect
19. #21434821C2semidirect
20. #21434794C2semidirect
21. #21434790C2semidirect
22. #21434267C2semidirect
23. #21434245C2semidirect
24. #21434238C2semidirect
25. #21434209C2semidirect
26. #21434203C2semidirect
27. #21434187C2semidirect
28. #21433107C2semidirect
29. #21432901C2semidirect
30. #21432891C2semidirect
31. C2×C59×#440C2semidirect
35. #16838137C22semidirect
37. #16838131C22semidirect
39. #16838125C22semidirect
48. #16838100C22semidirect
51. #16838074C22semidirect
53. #16838063C22semidirect
59. #16837952C22semidirect
63. #16837939C22semidirect
64. #16837939C22semidirect
70. C4×#11745689C22semidirect
71. C4×#11745689C22semidirect
77. #16837811C22semidirect
78. #16837810C22semidirect
79. #16837803C22semidirect
80. #16837791C22semidirect
82. #16837783C22semidirect
83. #16837767C22semidirect
85. #16837763C22semidirect
86. #16837762C22semidirect
87. #16837758C22semidirect
88. #16837755C22semidirect
89. #16837745C22semidirect
90. #16837742C22semidirect
91. #16837737C22semidirect
92. #16837731C22semidirect
93. #16837729C22semidirect
94. #16837729C22semidirect
95. #16837725C22semidirect
98. #16837720C22semidirect
99. #16837720C22semidirect
100. #16837717C22semidirect
101. #16837711C22semidirect
102. #16837709C22semidirect
103. #16837709C22semidirect
104. #16837708C22semidirect
105. #16837705C22semidirect
106. #16837705C22semidirect
110. #16837692C22semidirect
111. #16837685C22semidirect
112. #16837681C22semidirect
113. #16837659C22semidirect
115. #16837649C22semidirect
117. #16837639C22semidirect
120. #16837637C22semidirect
121. #16837634C22semidirect
122. #16837631C22semidirect
123. #16837631C22semidirect
124. #16837628C22semidirect
125. #16837627C22semidirect
126. #16837624C22semidirect
127. #16837624C22semidirect
128. #16837622C22semidirect
129. #16837620C22semidirect
132. #16837616C22semidirect
135. #16837597C22semidirect
137. #16837567C22semidirect
139. #16837558C22semidirect
141. #16837550C22semidirect
144. #16837546C22semidirect
149. #16837530C22semidirect
150. #16837530C22semidirect
151. #16837515C22semidirect
152. #16837515C22semidirect
155. #16837512C22semidirect
156. #16837512C22semidirect
158. #16837507C22semidirect
159. #16837507C22semidirect
160. #16837506C22semidirect
161. #16837504C22semidirect
162. #16837504C22semidirect
164. #16837501C22semidirect
165. #16837500C22semidirect
166. #16837500C22semidirect
168. #16837487C22semidirect
169. #16837484C22semidirect
171. #16837475C22semidirect
172. #16837475C22semidirect
175. C8×C22⋊D59C22semidirect
176. C8×C22⋊D59C22semidirect
177. #16837459C22semidirect
178. #16837457C22semidirect
179. #16837457C22semidirect
180. #16837443C22semidirect
181. #16837439C22semidirect
183. #16837402C22semidirect
184. #16837397C22semidirect
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
564. SD16×C59#41semidirect
890. C2×#440D59semidirect
946. C2×C4×Q8C2×D59semidirect
1044. #440C2×D59semidirect
1045. #440C2×D59semidirect
1046. #440C2×D59semidirect
1047. #440C2×D59semidirect
1063. C2×#107C2×D59semidirect
1068. C2×#103C2×D59semidirect
1072. C2×#97C2×D59semidirect
1073. C59#61456semidirect
1441. SD16#11745685semidirect

Maximal subgroups

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

subgroupindex
#214377002
#214376912
#214371852
#214370422
#214368692
#214368502
#214366462
#214365772
#214364942
#214362332
#214362032
#214361372
#214361072
#214359942
#214359422
#214358032
#214356382
#214355912
#214348212
#214347942
#214347902
#214342672
#214342452
#214342382
#214342092
#214342032
#214341872
#214331072
#214329012
#214328912
C2×C59×#4402
#6145659