Finite Group Databasebeta

← #29474868

Subgroups — #29474868

Order 15104.

2074 conjugacy classes of subgroups.

The subgroup lattice has 1888 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438368C211yesmaximal, characteristic, complemented
2#21437739C211yesmaximal, characteristic, complemented
3#21436259C211yesmaximal, characteristic, complemented
4#21436251C211yesmaximal, characteristic, complemented
5#21436139C211yesmaximal, characteristic, complemented
6#21436131C211yesmaximal, characteristic, complemented
7#21436027C211yesmaximal, characteristic, complemented
8#21436023C211yesmaximal, characteristic, complemented
9#21436016C211yesmaximal, characteristic, complemented
10#21436012C211yesmaximal, characteristic, complemented
11#21435802C211yesmaximal, characteristic, complemented
12#21435798C211yesmaximal, characteristic, complemented
13#21435780C211yesmaximal, characteristic, complemented
14#21435776C211yesmaximal, characteristic, complemented
15#21435650C211yesmaximal, characteristic, complemented
16#21435646C211yesmaximal, characteristic, complemented
17#21435627C211yesmaximal, characteristic, complemented
18#21435620C211yesmaximal, characteristic, complemented
19#21435205C211yesmaximal, characteristic, complemented
20#21434989C211yesmaximal, characteristic, complemented
21#21434966C211yesmaximal, characteristic, complemented
22#21434888C211yesmaximal, characteristic, complemented
23#21434886C211yesmaximal, characteristic, complemented
24#21434282C211yesmaximal, characteristic, complemented
25#21434274C211yesmaximal, characteristic, complemented
26#21433370C211yesmaximal, characteristic, complemented
27#21433361C211yesmaximal, characteristic, complemented
28#21433319C211yesmaximal, characteristic, complemented
29#21433313C211yesmaximal, characteristic, complemented
30#21433151C211yesmaximal, characteristic, complemented
31C59×#3225C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C22×#11745689C2211yescharacteristic, complemented
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273750C2211yescharacteristic, complemented
37C2×#14273750C2211yescharacteristic, complemented
38C2×#14273748C2211yescharacteristic, complemented
39C2×#14273748C2211yescharacteristic, complemented
40C2×SD16×D59C2211yescharacteristic, complemented
41C2×D8×D59C2211yescharacteristic, complemented
42#16838144—21no—
43#16838142—21no—
44#16838134—21no—
45#16838126C2211yescharacteristic, complemented
46#16838125C2211yescharacteristic, complemented
47#16838118C2211yescharacteristic, complemented
48#16838117C2211yescharacteristic, complemented
49#16838075—21no—
50#16838064C2211yescharacteristic, complemented
51#16838060C2211yescharacteristic, complemented
52#16838055C2211yescharacteristic
53#16838055C2211yescharacteristic
54#16838055C2211yescharacteristic, complemented
55#16838055C2211yescharacteristic, complemented
56#16838054—21no—
57#16838054—21no—
58#16838047C2211yescharacteristic, complemented
59#16838045C2211yescharacteristic
60#16838045C2211yescharacteristic
61#16838045C2211yescharacteristic, complemented
62#16838045C2211yescharacteristic, complemented
63#16838045C2211yescharacteristic, complemented
64#16838043—21no—
65#16838043—21no—
66#16838025—21no—
67#16838023C2211yescharacteristic, complemented
68#16838018—21no—
69#16837992—21no—
70#16837991—21no—
71#16837976C2211yescharacteristic
72#16837975C2211yescharacteristic
73#16837968C2211yescharacteristic
74#16837963—21no—
75#16837963—21no—
76#16837915C2211yescharacteristic, complemented
77#16837914C2211yescharacteristic
78#16837912C2211yescharacteristic, complemented
79#16837909C2211yescharacteristic, complemented
80#123×D59—21no—
81#123×D59—21no—
82#16837876C2211yescharacteristic, complemented
83#16837794C2211yescharacteristic, complemented
84#16837784C2211yescharacteristic, complemented
85#16837761C2211yescharacteristic, complemented
86#16837752C2211yescharacteristic, complemented
87#16837744C2211yescharacteristic, complemented
88#16837742C2211yescharacteristic, complemented
89#16837742C2211yescharacteristic, complemented
90#16837742C2211yescharacteristic, complemented
91#16837741C2211yescharacteristic, complemented
92#16837741C2211yescharacteristic, complemented
93#16837741C2211yescharacteristic, complemented
94#16837740C2211yescharacteristic, complemented
95#16837727C2211yescharacteristic, complemented
96#16837725C2211yescharacteristic, complemented
97#16837724C2211yescharacteristic, complemented
98#16837723C2211yescharacteristic, complemented
99#16837693C2211yescharacteristic, complemented
100#16837689C2211yescharacteristic, complemented
101#16837683C2211yescharacteristic, complemented
102#16837679C2211yescharacteristic, complemented
103#16837659C2211yescharacteristic, complemented
104#16837657C2211yescharacteristic, complemented
105#16837651C2211yescharacteristic, complemented
106#16837645C2211yescharacteristic, complemented
107#16837642C2211yescharacteristic, complemented
108#16837642C2211yescharacteristic, complemented
109#16837640C2211yescharacteristic, complemented
110#16837640C2211yescharacteristic, complemented
111#16837637C2211yescharacteristic, complemented
112#16837635C2211yescharacteristic, complemented
113#16837634C2211yescharacteristic, complemented
114#16837634C2211yescharacteristic, complemented
115#16837630C2211yescharacteristic, complemented
116#16837628C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837628C2211yescharacteristic, complemented
119#16837621C2211yescharacteristic, complemented
120#16837618C2211yescharacteristic, complemented
121#16837618C2211yescharacteristic, complemented
122#16837614C2211yescharacteristic, complemented
123#16837614C2211yescharacteristic, complemented
124#16837614C2211yescharacteristic, complemented
125#16837609C2211yescharacteristic, complemented
126#16837604C2211yescharacteristic, complemented
127#16837567C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837564C2211yescharacteristic, complemented
131#16837563C2211yescharacteristic, complemented
132#16837563C2211yescharacteristic, complemented
133#16837563C2211yescharacteristic, complemented
134#16837563C2211yescharacteristic, complemented
135#16837561C2211yescharacteristic, complemented
136#16837558C2211yescharacteristic, complemented
137#16837556C2211yescharacteristic, complemented
138#16837556C2211yescharacteristic, complemented
139#16837555C2211yescharacteristic, complemented
140#16837554C2211yescharacteristic, complemented
141#16837552C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837551C2211yescharacteristic, complemented
144#16837551C2211yescharacteristic, complemented
145#16837550C2211yescharacteristic, complemented
146#16837550C2211yescharacteristic, complemented
147#16837550C2211yescharacteristic, complemented
148#16837547C2211yescharacteristic
149#16837546C2211yescharacteristic, complemented
150#16837546C2211yescharacteristic, complemented
151#16837546C2211yescharacteristic, complemented
152#16837546C2211yescharacteristic, complemented
153#16837544C2211yescharacteristic, complemented
154#16837541C2211yescharacteristic, complemented
155#16837538C2211yescharacteristic
156#16837537C2211yescharacteristic, complemented
157#16837535C2211yescharacteristic
158#16837534C2211yescharacteristic, complemented
159#16837515C2211yescharacteristic, complemented
160#16837512C2211yescharacteristic, complemented
161#16837504C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic, complemented
163C4×#11745660C2211yescharacteristic, complemented
164C4×#11745671C2211yescharacteristic, complemented
165C4×D472C2211yescharacteristic, complemented
166C4×#11745669C2211yescharacteristic, complemented
167#16837475C2211yescharacteristic, complemented
168#16837475C2211yescharacteristic, complemented
169#16837472C2211yescharacteristic, complemented
170#16837472C2211yescharacteristic, complemented
171C8×D236C2211yescharacteristic, complemented
172C8×D236C2211yescharacteristic, complemented
173#16837467C2211yescharacteristic, complemented
174#16837467C2211yescharacteristic, complemented
175#16837463C2211yescharacteristic, complemented
176#16837405C2211yescharacteristic, complemented
177#16837405C2211yescharacteristic, complemented
178#16837397C2211yescharacteristic, complemented
179#16837397C2211yescharacteristic, complemented
180#16837397C2211yescharacteristic, complemented
181#16837397C2211yescharacteristic, complemented
182#16837397C2211yescharacteristic, complemented
183#16837397C2211yescharacteristic, complemented
184#16837367C2211yescharacteristic
185#16837367C2211yescharacteristic
186C22⋊C8×D59C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C59×#542C2211yescharacteristic, complemented
189C59×#536C2211yescharacteristic, complemented
190C59×#497C2211yescharacteristic, complemented
191C59×#495C2211yescharacteristic, complemented
192C59×#489C2211yescharacteristic, complemented
193C59×#487C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#462C2211yescharacteristic, complemented
197C59×#461C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#451C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic
201C59×#448C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205C2×#11745689—21no—
206C2×#11745689—21no—
207C2×#11745689—42no—
208C2×#11745689—42no—
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745689C2311yescharacteristic
212C2×#11745689C2311yescharacteristic
213C2×#11745689C2311yescharacteristic
214C2×#11745689C2311yescharacteristic
215C2×#11745689C2311yescharacteristic
216C2×#11745685—21no—
217C2×#11745685C2311yescharacteristic
218C2×#11745687C2311yescharacteristic
219C2×Q8×D59C2311yescharacteristic
220C22×D236—21no—
221C22×D236—21no—
222C22×D236C2311yescharacteristic
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C22×C4×D59—21no—
229C22×C4×D59C2311yescharacteristic
230#14273759—42no—
231#14273754—42no—
232#14273750—42no—
233#14273750—42no—
234#14273748—42no—
235#14273748—42no—
236C2×#11745672C2311yescharacteristic
237C2×#11745672C2311yescharacteristic
238C2×#11745672C2311yescharacteristic
239C2×#11745660C2311yescharacteristic
240C2×#11745660C2311yescharacteristic
241C2×#11745670C2311yescharacteristic
242C2×#11745671C2311yescharacteristic
243C2×#11745671C2311yescharacteristic
244C2×#11745671C2311yescharacteristic
245C2×#11745671C2311yescharacteristic
246C2×#11745671C2311yescharacteristic
247SD16×D59—42no—
248C2×D472C2311yescharacteristic
249C2×D472C2311yescharacteristic
250C2×#11745669C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253D8×D59—42no—
254C2×#11745659C2311yescharacteristic
255C2×#11745659C2311yescharacteristic
256C2×C8×D59C2311yescharacteristic
257C2×C8×D59C2311yescharacteristic
258C2×C8×D59C2311yescharacteristic
259C2×C8×D59C2311yescharacteristic
260C2×C8×D59C2311yescharacteristic
261C2×C8×D59C2311yescharacteristic
262#14273727C2311yescharacteristic
263#14273726—21no—
264#14273725—21no—
265#14273723—21no—
266#14273722—21no—
267#14273722—21no—
268#14273722—21no—
269#14273722—21no—
270#14273722—21no—
271#14273716—21no—
272#14273716—21no—
273#14273716—21no—
274#14273716—21no—
275#14273715—21no—
276#14273715—21no—
277#14273715C2311yescharacteristic
278#14273713—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712—21no—
294#14273711—21no—
295#14273711D411yescharacteristic
296#14273711D411yescharacteristic
297#14273710—21no—
298#14273710—21no—
299#14273709—21no—
300#14273709—21no—
301#14273709—21no—
302#14273709—21no—
303#14273709—21no—
304#14273709—21no—
305#14273709—21no—
306#14273709—21no—
307#14273708—21no—
308#14273707—21no—
309#14273707D411yescharacteristic
310#14273707D411yescharacteristic
311#14273707C2311yescharacteristic
312#14273707C2311yescharacteristic
313#14273706C2311yescharacteristic
314#14273705—21no—
315#14273704—21no—
316#14273703C2311yescharacteristic
317#14273703C2311yescharacteristic
318#14273703C2311yescharacteristic
319#14273703C2311yescharacteristic
320#14273703C2311yescharacteristic
321#14273703C2311yescharacteristic
322#14273703C2311yescharacteristic
323#14273703C2311yescharacteristic
324#14273702—21no—
325#14273702—21no—
326#14273702—21no—
327#14273702—21no—
328#14273702—21no—
329#14273702—21no—
330#14273702D411yescharacteristic
331#14273702D411yescharacteristic
332#14273702C2311yescharacteristic
333#14273702C2311yescharacteristic
334#14273701—21no—
335#14273701—21no—
336#14273701C2311yescharacteristic
337#14273700—21no—
338#14273700—21no—
339#14273700—21no—
340#14273700—21no—
341#14273700—21no—
342#14273700—21no—
343#14273698C2311yescharacteristic
344#14273698C2311yescharacteristic
345#14273698C2311yescharacteristic
346#14273698C2311yescharacteristic
347#14273697—21no—
348#14273697—21no—
349#14273697—21no—
350#14273697—21no—
351#14273697—21no—
352#14273697—21no—
353#14273697—21no—
354#14273697—21no—
355#14273697D411yescharacteristic
356#14273697D411yescharacteristic
357#14273695—21no—
358#14273695—21no—
359#14273695—21no—
360Q8×Dic59—21no—
361C4×Dic118—21no—
362C4×Dic118C2311yescharacteristic
363C4×D236—21no—
364C4×D236C2311yescharacteristic
365C4×D236C2311yescharacteristic
366C4×D236C2311yescharacteristic
367C4×D236C2311yescharacteristic
368C4×D236C2311yescharacteristic
369C4×D236C2311yescharacteristic
370C4×D236C2311yescharacteristic
371C4×D236C2311yescharacteristic
372C4×D236C2311yescharacteristic
373D4×Dic59—21no—
374#14273689—21no—
375#14273689—21no—
376#14273689—21no—
377C4×C22⋊D59—21no—
378C4×C22⋊D59—21no—
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381(C22⋊D59)⋊C4—21no—
382#14273686—21no—
383#14273686C2311yescharacteristic
384#14273685—21no—
385#14273685C2311yescharacteristic
386#14273685C2311yescharacteristic
387#14273685C2311yescharacteristic
388#14273685C2311yescharacteristic
389C4⋊C4×D59—21no—
390C4⋊C4×D59—21no—
391C4⋊C4×D59—21no—
392C4⋊C4×D59—21no—
393C2×(C2×D59)⋊C4—21no—
394C22⋊C4×D59—21no—
395C22⋊C4×D59—21no—
396C22⋊C4×D59—21no—
397C22⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59—21no—
401#14273661C2311yescharacteristic
402#14273661C2311yescharacteristic
403#14273660C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273659C2311yescharacteristic
406#14273659C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410C4⋊(C59⋊C8)C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273651C2311yescharacteristic
420#14273651C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444(C2×D59)⋊C8C2311yescharacteristic
445#14273638C2311yescharacteristic
446C4×C59⋊C8C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C22×Q8×C59C2311yescharacteristic
449C2×Q16×C59C2311yescharacteristic
450C2×Q16×C59C2311yescharacteristic
451C2×Q16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×SD16×C59C2311yescharacteristic
455C2×SD16×C59C2311yescharacteristic
456C2×D8×C59C2311yescharacteristic
457C4⋊Q8×C59C2311yescharacteristic
458C4⋊Q8×C59C2311yescharacteristic
459C4⋊Q8×C59C2311yescharacteristic
460#126×C59—21no—
461#124×C59—21no—
462#124×C59C2311yescharacteristic
463#124×C59C2311yescharacteristic
464#124×C59C2311yescharacteristic
465#123×C59—21no—
466#123×C59—21no—
467#123×C59—21no—
468C22⋊Q8×C59—21no—
469C22⋊Q8×C59—21no—
470C22⋊Q8×C59—21no—
471C22⋊Q8×C59C2311yescharacteristic
472#121×C59C2311yescharacteristic
473C4×Q8×C59C2311yescharacteristic
474C4×D4×C59C2311yescharacteristic
475#117×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477C4⋊C8×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488#97×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59C2×D411yescharacteristic
495#41×C59—41no—
496#41×C59—41no—
497C2×Q8×C59—21no—
498C2×Q8×C59—21no—
499C2×Q8×C59—41no—
500C2×Q8×C59—41no—
501C2×Q8×C59C2411yescharacteristic
502C2×Q8×C59C2411yescharacteristic
503C2×Q8×C59C2411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59C2411yescharacteristic
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59C2×D411yescharacteristic
523C2×C22⋊D59C2×D411yescharacteristic
524C22×Dic59—21no—
525C22×Dic59C2×D411yescharacteristic
526#11745689—22no—
527#11745689—22no—
528#11745689—22no—
529#11745689—22no—
530#11745689—22no—
531#11745689—22no—
532#11745689—41no—
533#11745689—41no—
534#11745689—41no—
535#11745689—41no—
536#11745689—41no—
537#11745689—41no—
538#11745689—41no—
539#11745689—41no—
540#11745689—44no—
541#11745689—44no—
542Q8×D59—41no—
543Q8×D59—41no—
544#11745687—41no—
545#11745687—41no—
546D4×D59—22no—
547D4×D59—22no—
548D4×D59—41no—
549D4×D59—41no—
550D4×D59—41no—
551D4×D59—41no—
552D4×D59—44no—
553D4×D59—44no—
554#11745685—41no—
555#11745685—41no—
556#11745685—44no—
557C2×D236—21no—
558C2×D236—22no—
559C2×D236—22no—
560C2×D236—21no—
561C2×D236—21no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—21no—
566C2×D236—21no—
567C2×D236—21no—
568C2×D236—21no—
569C2×D236—44no—
570C2×D236—44no—
571C2×D236C2×D411yescharacteristic
572C2×D236C2×D411yescharacteristic
573C2×D236C2×D411yescharacteristic
574C2×D236C2×D411yescharacteristic
575C2×D236C2×D411yescharacteristic
576C2×D236C2411yescharacteristic
577C2×D236C2411yescharacteristic
578C2×D236C2411yescharacteristic
579C2×C4×D59—21no—
580C2×C4×D59—21no—
581C2×C4×D59—21no—
582C2×C4×D59—21no—
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—41no—
593C2×C4×D59—41no—
594C2×C4×D59—44no—
595C2×C4×D59C2×D411yescharacteristic
596C2×C4×D59C2×D411yescharacteristic
597C2×C4×D59C2411yescharacteristic
598C2×C4×D59C2411yescharacteristic
599C2×C4×D59C2411yescharacteristic
600C2×C4×D59C2411yescharacteristic
601C2×Dic118—21no—
602C2×Dic118—21no—
603C2×Dic118C2×D411yescharacteristic
604C2×Dic118C2411yescharacteristic
605Q16×C59—41no—
606Q16×C59—41no—
607Q16×C59—41no—
608SD16×C59—41no—
609SD16×C59—41no—
610SD16×C59—41no—
611SD16×C59—41no—
612D8×C59—41no—
613C2×C8×C59C2411yescharacteristic
614C2×C8×C59C2411yescharacteristic
615C2×C8×C59C2411yescharacteristic
616C2×C8×C59C2411yescharacteristic
617C4⋊C4×C59—21no—
618C4⋊C4×C59—21no—
619C4⋊C4×C59—21no—
620C4⋊C4×C59—21no—
621C4⋊C4×C59—21no—
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59C2×D411yescharacteristic
625C4⋊C4×C59C2×D411yescharacteristic
626C4⋊C4×C59C2411yescharacteristic
627C4⋊C4×C59C2411yescharacteristic
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59C2×D411yescharacteristic
638C22⋊C4×C59C2×D411yescharacteristic
639C42×C59—21no—
640C42×C59C2411yescharacteristic
641C42×C59C2411yescharacteristic
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648#11745672—41no—
649#11745672—41no—
650#11745672—41no—
651#11745671—22no—
652#11745671—22no—
653#11745671—41no—
654#11745671—41no—
655#11745671—41no—
656#11745670—41no—
657#11745669—22no—
658#11745669—22no—
659#11745669—41no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4C2×D411yescharacteristic
685(C2×D59)⋊C4C2×D411yescharacteristic
686(C2×D59)⋊C4C2×D411yescharacteristic
687(C2×D59)⋊C4C2×D411yescharacteristic
688(C2×D59)⋊C4C2×D411yescharacteristic
689(C2×D59)⋊C4C2×D411yescharacteristic
690(C2×D59)⋊C4C2×D411yescharacteristic
691(C2×D59)⋊C4C2×D411yescharacteristic
692C4⋊Dic59—21no—
693C4⋊Dic59—21no—
694C4⋊Dic59—21no—
695C4⋊Dic59C2×D411yescharacteristic
696C4⋊Dic59C2×D411yescharacteristic
697C4⋊Dic59C2×D411yescharacteristic
698C4⋊Dic59C2×D411yescharacteristic
699C4⋊Dic59C2411yescharacteristic
700C4⋊Dic59C2411yescharacteristic
701C4⋊Dic59C2411yescharacteristic
702C4⋊Dic59C2411yescharacteristic
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713C4×Dic59—21no—
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C2×C59⋊C8C2411yescharacteristic
720C2×C59⋊C8C2411yescharacteristic
721C2×C59⋊C8C2411yescharacteristic
722C2×C59⋊C8C2411yescharacteristic
723D472—22no—
724D472—22no—
725#11745660—22no—
726#11745660—22no—
727#11745659—41no—
728#11745659—41no—
729C8×D59—41no—
730C8×D59—41no—
731C8×D59—41no—
732C8×D59—41no—
733C8×D59—41no—
734C8×D59—41no—
735C23×C59—21no—
736C23×C59—21no—
737C23×C59C22×D411yescharacteristic
738C22×D59—21no—
739C22×D59—21no—
740C22×D59—24no—
741C22×D59—21no—
742C22×D59—41no—
743C22×D59—41no—
744C22×D59—41no—
745C22×D59—42no—
746C22×D59—42no—
747C22×D59—81no—
748C22×D59—81no—
749C22×D59—81no—
750C22×D59—81no—
751C22×D59—81no—
752C22×D59—81no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59C22×D411yescharacteristic
757C22×D59C22×D411yescharacteristic
758C22×D59C22×D411yescharacteristic
759C22×D59C22×D411yescharacteristic
760Q8×C59—21no—
761Q8×C59—21no—
762Q8×C59—21no—
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—42no—
769Q8×C59—81no—
770D4×C59—21no—
771D4×C59—21no—
772D4×C59—21no—
773D4×C59—21no—
774D4×C59—42no—
775D4×C59—81no—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—42no—
785C2×C4×C59—42no—
786C2×C4×C59—81no—
787C2×C4×C59C22×D411yescharacteristic
788C2×C4×C59C22×D411yescharacteristic
789C2×C4×C59C22×D411yescharacteristic
790C2×C4×C59C22×D411yescharacteristic
791C2×C4×C59C22×D411yescharacteristic
792C2×C4×C59C2511yescharacteristic
793C22⋊D59—41no—
794C22⋊D59—41no—
795C22⋊D59—42no—
796C22⋊D59—42no—
797C22⋊D59—81no—
798C22⋊D59—81no—
799C22⋊D59—81no—
800C22⋊D59—81no—
801C22⋊D59—81no—
802C22⋊D59—81no—
803C22⋊D59—81no—
804C2×Dic59—21no—
805C2×Dic59—21no—
806C2×Dic59—21no—
807C2×Dic59—21no—
808C2×Dic59—21no—
809C2×Dic59—41no—
810C2×Dic59—81no—
811C2×Dic59C22×D411yescharacteristic
812C2×Dic59C22×D411yescharacteristic
813C2×Dic59C22×D411yescharacteristic
814C2×Dic59C22×D411yescharacteristic
815D236—24no—
816D236—21no—
817D236—21no—
818D236—21no—
819D236—21no—
820D236—41no—
821D236—41no—
822D236—41no—
823D236—41no—
824D236—41no—
825D236—42no—
826D236—42no—
827D236—42no—
828D236—42no—
829D236—42no—
830D236—42no—
831D236—81no—
832D236—81no—
833D236—81no—
834D236H(5,𝔽2)12yes—
835D236H(5,𝔽2)12yes—
836C4×D59—21no—
837C4×D59—21no—
838C4×D59—21no—
839C4×D59—21no—
840C4×D59—21no—
841C4×D59—21no—
842C4×D59—21no—
843C4×D59—21no—
844C4×D59—41no—
845C4×D59—41no—
846C4×D59—42no—
847C4×D59—42no—
848C4×D59—42no—
849C4×D59—42no—
850C4×D59—42no—
851C4×D59—42no—
852C4×D59—81no—
853C4×D59—81no—
854C4×D59—81no—
855C4×D59—81no—
856C4×D59—81no—
857C4×D59—81no—
858C4×D59—81no—
859Dic118—21no—
860Dic118—21no—
861Dic118—41no—
862Dic118—81no—
863Dic118—81no—
864C8×C59—21no—
865C8×C59—21no—
866C8×C59—21no—
867C8×C59—21no—
868C59⋊C8—21no—
869C59⋊C8—21no—
870C59⋊C8—21no—
871C59⋊C8—21no—
872#61636—591nomaximal, Sylow
873C22×C59—21no—
874C22×C59—21no—
875C22×C59—21no—
876C22×C59—41no—
877C22×C59—41no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—41no—
881C22×C59—41no—
882C22×C59C23×D411yescharacteristic
883C2×D59—21no—
884C2×D59—21no—
885C2×D59—21no—
886C2×D59—21no—
887C2×D59—21no—
888C2×D59—21no—
889C2×D59—21no—
890C2×D59—21no—
891C2×D59—21no—
892C2×D59—21no—
893C2×D59—21no—
894C2×D59—21no—
895C2×D59—22no—
896C2×D59—22no—
897C2×D59—41no—
898C2×D59—41no—
899C2×D59—41no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—84no—
905C2×D59—82no—
906C2×D59—162no—
907C2×D59—162no—
908C2×D59—162no—
909C4×C59—21no—
910C4×C59—21no—
911C4×C59—21no—
912C4×C59—21no—
913C4×C59—21no—
914C4×C59—41no—
915C4×C59—41no—
916C4×C59—41no—
917C4×C59—41no—
918C4×C59—41no—
919C4×C59—41no—
920C4×C59C2×H(5,𝔽2)11yescharacteristic
921C4×C59C2×H(5,𝔽2)11yescharacteristic
922Dic59—21no—
923Dic59—21no—
924Dic59—21no—
925Dic59—21no—
926Dic59—41no—
927Dic59—41no—
928Dic59—41no—
929Dic59—41no—
930Dic59—41no—
931#3540—591no—
932#3485—591no—
933#3319—591no—
934#3319—591no—
935#3311—591no—
936#3311—591no—
937#3303—591no—
938#3303—591no—
939#3302—591no—
940#3302—591no—
941#3282—591no—
942#3282—591no—
943#3280—591no—
944#3280—591no—
945#3269—591no—
946#3269—591no—
947#3267—591no—
948#3267—591no—
949#3225—591no—
950#3225D5911yescharacteristic, complemented
951#3202—591no—
952#3200—591no—
953#3191—591no—
954#3191—591no—
955#3118—591no—
956#3118—591no—
957#3009—591no—
958#3008—591no—
959#3002—591no—
960#3002—591no—
961#2977—591no—
962C2×C59—41no—
963C2×C59—81no—
964C2×C59—81no—
965C2×C59#348411yescharacteristic
966C2×C59#358411yescharacteristic
967C2×C59#358411yescharacteristic
968D59—41no—
969D59—41no—
970D59—41no—
971D59—41no—
972D59—42no—
973D59—42no—
974D59—81no—
975C2×H(5,𝔽2)—591no—
976C22×#41—591no—
977C2×#137—591no—
978C2×AGL(1,ℤ/8)—591no—
979C2×#135—591no—
980C2×#135—591no—
981C2×#135—591no—
982C2×#135—591no—
983C22×SD16—591no—
984C22×D8—591no—
985H(3,𝔽4)—1181no—
986#560—1181no—
987#559—1181no—
988#556—591no—
989#556—591no—
990#555—591no—
991#555—591no—
992#551—1181no—
993#548—591no—
994#548—591no—
995#547—591no—
996#547—591no—
997#547—591no—
998#547—591no—
999#547—1181no—
1000#547—1181no—
1001#546—591no—
1002#546—591no—
1003#546—591no—
1004#546—591no—
1005#546—591no—
1006#546—591no—
1007#546—1181no—
1008#546—1181no—
1009#542—591no—
1010#542—1181no—
1011#542—1181no—
1012#542C2×D5911yescharacteristic, complemented
1013#538—1181no—
1014#538—1181no—
1015#536—591no—
1016#536—591no—
1017#536C2×D5911yescharacteristic, complemented
1018#535—591no—
1019#534—1181no—
1020#534—1181no—
1021#525—591no—
1022#525—591no—
1023#525—591no—
1024#525—591no—
1025C2×#123—1181no—
1026C2×#123—1181no—
1027#518—591no—
1028#497—591no—
1029#497C2×D5911yescharacteristic, complemented
1030#495—591no—
1031#495C2×D5911yescharacteristic, complemented
1032#489—591no—
1033#489C2×D5911yescharacteristic, complemented
1034#487—591no—
1035#487C2×D5911yescharacteristic, complemented
1036#485—591no—
1037#485—591no—
1038#485—591no—
1039#485—591no—
1040#485—591no—
1041#485—591no—
1042#485—591no—
1043#485—591no—
1044#482—591no—
1045#482—591no—
1046#482—591no—
1047#482—591no—
1048#476—591no—
1049#476—591no—
1050#474—591no—
1051#474—591no—
1052#470—591no—
1053#470—591no—
1054#468—591no—
1055#468—591no—
1056#467—591no—
1057#467—591no—
1058#467—591no—
1059#467—591no—
1060#466—591no—
1061#466—591no—
1062#465—591no—
1063#465—591no—
1064#465—591no—
1065#465—591no—
1066#465—591no—
1067#465—591no—
1068#464—591no—
1069#464C2×D5911yescharacteristic, complemented
1070#463—591no—
1071#463—591no—
1072#463—591no—
1073#463—591no—
1074#463—591no—
1075#463C2×D5911yescharacteristic, complemented
1076#462—591no—
1077#462C2×D5911yescharacteristic, complemented
1078#461—591no—
1079#461C2×D5911yescharacteristic, complemented
1080#452—591no—
1081#452—591no—
1082#452—591no—
1083#452—591no—
1084#452—591no—
1085#452—591no—
1086#452—591no—
1087#452—591no—
1088#452—591no—
1089#452C2×D5911yescharacteristic, complemented
1090#451—591no—
1091#451—591no—
1092#451—591no—
1093#451C2×D5911yescharacteristic, complemented
1094#450—591no—
1095#450—591no—
1096#450—591no—
1097#450—591no—
1098#450—591no—
1099#450—591no—
1100#449—591no—
1101#449—591no—
1102#449—591no—
1103#449—591no—
1104#449—591no—
1105#449—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#449C2×D5911yescharacteristic
1110#448—591no—
1111#448C2×D5911yescharacteristic, complemented
1112#447—591no—
1113#447—591no—
1114#447—591no—
1115#447—591no—
1116#442—591no—
1117#442—591no—
1118#440—591no—
1119#440—591no—
1120C4×SD16—591no—
1121C4×SD16—591no—
1122C4×D8—591no—
1123C4×D8—591no—
1124#435—591no—
1125#435—591no—
1126#435—591no—
1127#435—591no—
1128C8×D4—591no—
1129C8×D4—591no—
1130C8×D4—591no—
1131C8×D4—591no—
1132#433—591no—
1133#433C2×D5911yescharacteristic, complemented
1134#418—591no—
1135#418—591no—
1136#416—591no—
1137#416—591no—
1138#416—591no—
1139#416—591no—
1140#416—591no—
1141#416—591no—
1142#408—591no—
1143#408—591no—
1144C2×C22⋊C8—591no—
1145C2×C22⋊C8—591no—
1146C59#6163611yescharacteristic, complemented, Sylow
1147H(5,𝔽2)—2362no—
1148H(5,𝔽2)—2362no—
1149C2×#41—591no—
1150C2×#41—591no—
1151C2×#41—591no—
1152C2×#41—591no—
1153C2×#41—591no—
1154C2×#41—591no—
1155C2×#41—591no—
1156C2×#41—591no—
1157C2×#41—591no—
1158C2×#41—1181no—
1159C2×#41—1181no—
1160C2×#41—1181no—
1161C2×#41—2362no—
1162C2×#41—2362no—
1163C2×#41C22×D5911yescharacteristic
1164C22×Q8—591no—
1165C22×Q8C22×D5911yescharacteristic
1166C22×D4—591no—
1167C22×D4—591no—
1168C22×D4—591no—
1169C22×D4—591no—
1170C22×D4—1181no—
1171C22×D4—1181no—
1172C22×D4—1181no—
1173C22×D4—1181no—
1174C23×C4—591no—
1175C23×C4—1181no—
1176#137—2362no—
1177AGL(1,ℤ/8)—2362no—
1178#135—2362no—
1179#135—2362no—
1180#135—2362no—
1181#135—2362no—
1182C2×Q16—591no—
1183C2×Q16—591no—
1184C2×Q16—591no—
1185C2×Q16C22×D5911yescharacteristic
1186C2×Q16C22×D5911yescharacteristic
1187C2×Q16C22×D5911yescharacteristic
1188C2×SD16—591no—
1189C2×SD16—591no—
1190C2×SD16—591no—
1191C2×SD16—591no—
1192C2×SD16—591no—
1193C2×SD16—591no—
1194C2×SD16—591no—
1195C2×SD16—591no—
1196C2×SD16—2362no—
1197C2×SD16C22×D5911yescharacteristic
1198C2×SD16C22×D5911yescharacteristic
1199C2×SD16C22×D5911yescharacteristic
1200C2×SD16C22×D5911yescharacteristic
1201C2×D8—591no—
1202C2×D8—591no—
1203C2×D8—591no—
1204C2×D8—591no—
1205C2×D8—591no—
1206C2×D8—2362no—
1207C2×D8C22×D5911yescharacteristic
1208C2×M16—591no—
1209C2×M16—591no—
1210C22×C8—591no—
1211C22×C8—591no—
1212C22×C8—591no—
1213C22×C8—591no—
1214C22×C8—591no—
1215C22×C8—591no—
1216C4⋊Q8—591no—
1217C4⋊Q8—1181no—
1218C4⋊Q8—1181no—
1219C4⋊Q8C22×D5911yescharacteristic
1220C4⋊Q8C22×D5911yescharacteristic
1221C4⋊Q8C22×D5911yescharacteristic
1222#127—1181no—
1223#126—21no—
1224#126—1181no—
1225#126—1181no—
1226#126—1181no—
1227#126—1181no—
1228#126—1181no—
1229#124—21no—
1230#124—591no—
1231#124—1181no—
1232#124—1181no—
1233#124—1181no—
1234#124—1181no—
1235#124—1181no—
1236#124—1181no—
1237#124—1181no—
1238#124—1181no—
1239#124—1181no—
1240#124—1181no—
1241#124—1181no—
1242#124—1181no—
1243#124C22×D5911yescharacteristic
1244#124C22×D5911yescharacteristic
1245#124C22×D5911yescharacteristic
1246#123—21no—
1247#123—21no—
1248#123—21no—
1249#123—591no—
1250#123—591no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254#123—1181no—
1255#123—1181no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273C22⋊Q8—21no—
1274C22⋊Q8—21no—
1275C22⋊Q8—21no—
1276C22⋊Q8—591no—
1277C22⋊Q8—591no—
1278C22⋊Q8—591no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—591no—
1287C22⋊Q8—591no—
1288C22⋊Q8—591no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8C22×D5911yescharacteristic
1293#121—591no—
1294#121—591no—
1295#121—591no—
1296#121—591no—
1297#121—591no—
1298#121—591no—
1299#121—591no—
1300#121—591no—
1301#121—591no—
1302#121—1181no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121—1181no—
1307#121—1181no—
1308#121—1181no—
1309#121—1181no—
1310#121—1181no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121C22×D5911yescharacteristic
1317#120—591no—
1318#120—591no—
1319#120—1181no—
1320#120—1181no—
1321#120—1181no—
1322#120—1181no—
1323#120—1181no—
1324#120—1181no—
1325#120—1181no—
1326#120—1181no—
1327#120—1181no—
1328#120—1181no—
1329#120—1181no—
1330C4×Q8—591no—
1331C4×Q8—1181no—
1332C4×Q8—1181no—
1333C4×Q8C22×D5911yescharacteristic
1334C4×D4—591no—
1335C4×D4—591no—
1336C4×D4—591no—
1337C4×D4—591no—
1338C4×D4—591no—
1339C4×D4—591no—
1340C4×D4—591no—
1341C4×D4—591no—
1342C4×D4—591no—
1343C4×D4—1181no—
1344C4×D4—1181no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347C4×D4—1181no—
1348C4×D4—1181no—
1349C4×D4—1181no—
1350C4×D4—1181no—
1351C4×D4—1181no—
1352C4×D4—1181no—
1353C4×D4C22×D5911yescharacteristic
1354#117—591no—
1355#117—591no—
1356#117—591no—
1357#117—591no—
1358#117—591no—
1359#117—1181no—
1360#117—1181no—
1361#117C22×D5911yescharacteristic
1362C2×C4⋊C4—1181no—
1363C2×C4⋊C4—1181no—
1364C2×C4⋊C4—1181no—
1365C2×C4⋊C4—1181no—
1366C2×C22⋊C4—1181no—
1367C2×C22⋊C4—1181no—
1368C2×C22⋊C4—1181no—
1369C2×C22⋊C4—1181no—
1370C2×C22⋊C4—1181no—
1371C2×C22⋊C4—1181no—
1372C2×C22⋊C4—1181no—
1373C2×C22⋊C4—1181no—
1374#107—591no—
1375#107—591no—
1376#107—591no—
1377#107—591no—
1378#106—591no—
1379#106—591no—
1380#106—591no—
1381#106—591no—
1382C4⋊C8—591no—
1383C4⋊C8—591no—
1384C4⋊C8C22×D5911yescharacteristic
1385C4⋊C8C22×D5911yescharacteristic
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#103—591no—
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103C22×D5911yescharacteristic
1397#103C22×D5911yescharacteristic
1398#103C22×D5911yescharacteristic
1399#103C22×D5911yescharacteristic
1400#103C22×D5911yescharacteristic
1401#103C22×D5911yescharacteristic
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415#102—591no—
1416#102C22×D5911yescharacteristic
1417#102C22×D5911yescharacteristic
1418C22⋊C8—591no—
1419C22⋊C8—591no—
1420C22⋊C8—591no—
1421C22⋊C8—591no—
1422C22⋊C8—591no—
1423C22⋊C8—591no—
1424C22⋊C8—591no—
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8—591no—
1428C22⋊C8C22×D5911yescharacteristic
1429C22⋊C8C22×D5911yescharacteristic
1430#97—591no—
1431#97C22×D5911yescharacteristic
1432C4×C8—591no—
1433C4×C8C22×D5911yescharacteristic
1434C24—591no—
1435C24—1181no—
1436C24—1181no—
1437C24—1181no—
1438C24—1181no—
1439#41—41no—
1440#41—41no—
1441#41—1182no—
1442#41—1182no—
1443#41—1182no—
1444#41—1182no—
1445#41—1182no—
1446#41—1182no—
1447#41—2361no—
1448#41—2361no—
1449#41—2364no—
1450#41—2361no—
1451#41—2361no—
1452#41—2361no—
1453#41—2361no—
1454#41—2361no—
1455#41—2361no—
1456#41—2361no—
1457#41—2361no—
1458#41—2361no—
1459#41—2361no—
1460#41—2364no—
1461#41—2364no—
1462C2×Q8—21no—
1463C2×Q8—21no—
1464C2×Q8—41no—
1465C2×Q8—41no—
1466C2×Q8—591no—
1467C2×Q8—591no—
1468C2×Q8—1181no—
1469C2×Q8—1181no—
1470C2×Q8—2361no—
1471C2×Q8—2361no—
1472C2×Q8C23×D5911yescharacteristic
1473C2×Q8C23×D5911yescharacteristic
1474C2×Q8C23×D5911yescharacteristic
1475C2×Q8C23×D5911yescharacteristic
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—591no—
1479C2×D4—591no—
1480C2×D4—591no—
1481C2×D4—591no—
1482C2×D4—591no—
1483C2×D4—591no—
1484C2×D4—591no—
1485C2×D4—591no—
1486C2×D4—591no—
1487C2×D4—591no—
1488C2×D4—1182no—
1489C2×D4—1182no—
1490C2×D4—1181no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1182no—
1503C2×D4—1182no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—2364no—
1512C2×D4—2364no—
1513C2×D4—2361no—
1514C2×D4—2361no—
1515C2×D4—2361no—
1516C2×D4—2361no—
1517C2×D4—2364no—
1518C2×D4—2364no—
1519C2×D4C23×D5911yescharacteristic
1520C2×D4C23×D5911yescharacteristic
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—591no—
1525C22×C4—591no—
1526C22×C4—591no—
1527C22×C4—591no—
1528C22×C4—591no—
1529C22×C4—591no—
1530C22×C4—591no—
1531C22×C4—1181no—
1532C22×C4—1181no—
1533C22×C4—1181no—
1534C22×C4—1181no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—1181no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—2361no—
1546C22×C4—2361no—
1547C22×C4—2364no—
1548C22×C4C23×D5911yescharacteristic
1549Q16—41no—
1550Q16—41no—
1551Q16—41no—
1552Q16—2361no—
1553Q16—2361no—
1554Q16—2361no—
1555SD16—41no—
1556SD16—41no—
1557SD16—41no—
1558SD16—41no—
1559SD16—1182no—
1560SD16—1182no—
1561SD16—1182no—
1562SD16—1182no—
1563SD16—2361no—
1564SD16—2361no—
1565SD16—2361no—
1566SD16—2361no—
1567D8—41no—
1568D8—1182no—
1569D8—1182no—
1570D8—1182no—
1571D8—1182no—
1572D8—2361no—
1573M16—2361no—
1574M16—2361no—
1575C2×C8—591no—
1576C2×C8—591no—
1577C2×C8—591no—
1578C2×C8—591no—
1579C2×C8—2361no—
1580C2×C8—2361no—
1581C2×C8—2361no—
1582C2×C8—2361no—
1583C2×C8—2361no—
1584C2×C8—2361no—
1585C2×C8C23×D5911yescharacteristic
1586C2×C8C23×D5911yescharacteristic
1587C2×C8C23×D5911yescharacteristic
1588C2×C8C23×D5911yescharacteristic
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—591no—
1597C4⋊C4—591no—
1598C4⋊C4—591no—
1599C4⋊C4—591no—
1600C4⋊C4—591no—
1601C4⋊C4—591no—
1602C4⋊C4—591no—
1603C4⋊C4—591no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4—1181no—
1613C4⋊C4—1181no—
1614C4⋊C4—1181no—
1615C4⋊C4—1181no—
1616C4⋊C4—1181no—
1617C4⋊C4D4×D5911yescharacteristic
1618C4⋊C4D4×D5911yescharacteristic
1619C4⋊C4C23×D5911yescharacteristic
1620C4⋊C4C23×D5911yescharacteristic
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—591no—
1631C22⋊C4—591no—
1632C22⋊C4—591no—
1633C22⋊C4—591no—
1634C22⋊C4—591no—
1635C22⋊C4—591no—
1636C22⋊C4—591no—
1637C22⋊C4—591no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4—1181no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4D4×D5911yescharacteristic
1669C22⋊C4D4×D5911yescharacteristic
1670C42—21no—
1671C42—1181no—
1672C42—1181no—
1673C42—1181no—
1674C42—1181no—
1675C42—1181no—
1676C42—1181no—
1677C42C23×D5911yescharacteristic
1678C42C23×D5911yescharacteristic
1679C23—21no—
1680C23—21no—
1681C23—591no—
1682C23—591no—
1683C23—591no—
1684C23—591no—
1685C23—1184no—
1686C23—1181no—
1687C23—1181no—
1688C23—1181no—
1689C23—4721no—
1690C23—4721no—
1691C23—4721no—
1692C23—4721no—
1693C23—4721no—
1694C23—4721no—
1695C23—4721no—
1696C23—4721no—
1697C23—4721no—
1698C23—2361no—
1699C23—2361no—
1700C23—2361no—
1701C23—2362no—
1702C23—2362no—
1703C23C2×D4×D5911yescharacteristic
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—21no—
1709Q8—21no—
1710Q8—21no—
1711Q8—21no—
1712Q8—42no—
1713Q8—81no—
1714Q8—1181no—
1715Q8—1181no—
1716Q8—4721no—
1717Q8—4721no—
1718Q8—2361no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—42no—
1724D4—81no—
1725D4—592no—
1726D4—592no—
1727D4—1184no—
1728D4—1181no—
1729D4—1181no—
1730D4—1181no—
1731D4—1181no—
1732D4—4721no—
1733D4—4721no—
1734D4—4721no—
1735D4—4721no—
1736D4—4721no—
1737D4—4721no—
1738D4—4721no—
1739D4—4721no—
1740D4—4721no—
1741D4—4721no—
1742D4—2361no—
1743D4—2361no—
1744D4—2361no—
1745D4—2361no—
1746D4—2361no—
1747D4—2362no—
1748D4—2362no—
1749D4—2362no—
1750D4—2362no—
1751D4—2362no—
1752D4—2362no—
1753D4—2361no—
1754D4—2361no—
1755D4—2362no—
1756D4—2362no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—42no—
1766C2×C4—42no—
1767C2×C4—81no—
1768C2×C4—591no—
1769C2×C4—591no—
1770C2×C4—591no—
1771C2×C4—591no—
1772C2×C4—1181no—
1773C2×C4—1181no—
1774C2×C4—1181no—
1775C2×C4—1181no—
1776C2×C4—1181no—
1777C2×C4—1181no—
1778C2×C4—1181no—
1779C2×C4—1181no—
1780C2×C4—1181no—
1781C2×C4—1181no—
1782C2×C4—1181no—
1783C2×C4—1181no—
1784C2×C4—1181no—
1785C2×C4—4721no—
1786C2×C4—4721no—
1787C2×C4—4721no—
1788C2×C4—4721no—
1789C2×C4—4721no—
1790C2×C4—4721no—
1791C2×C4—4721no—
1792C2×C4—4721no—
1793C2×C4—2361no—
1794C2×C4—2361no—
1795C2×C4—2362no—
1796C2×C4—2362no—
1797C2×C4—2362no—
1798C2×C4—2362no—
1799C2×C4—2362no—
1800C2×C4—2362no—
1801C2×C4—2361no—
1802C2×C4C2×D4×D5911yescharacteristic
1803C2×C4C2×D4×D5911yescharacteristic
1804C2×C4C2×D4×D5911yescharacteristic
1805C2×C4C2×D4×D5911yescharacteristic
1806C2×C4C2×D4×D5911yescharacteristic
1807C2×C4C24×D5911yescharacteristic
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—1181no—
1813C8—1181no—
1814C8—1181no—
1815C8—1181no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—1181no—
1826C22—1181no—
1827C22—1181no—
1828C22—1181no—
1829C22—1182no—
1830C22—1182no—
1831C22—1181no—
1832C22—1181no—
1833C22—1181no—
1834C22—1181no—
1835C22—1181no—
1836C22—1181no—
1837C22—1181no—
1838C22—1181no—
1839C22—9442no—
1840C22—9442no—
1841C22—9442no—
1842C22—4724no—
1843C22—4722no—
1844C22—2361no—
1845C22—2361no—
1846C22—2361no—
1847C22—2361no—
1848C22—2361no—
1849C22—2361no—
1850C22—2361no—
1851C22C22×D4×D5911yescharacteristic
1852C4—21no—
1853C4—21no—
1854C4—21no—
1855C4—21no—
1856C4—21no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—1181no—
1864C4—1181no—
1865C4—1181no—
1866C4—1181no—
1867C4—2361no—
1868C4—2361no—
1869C4—2361no—
1870C4—2361no—
1871C4—2361no—
1872C4H(5,𝔽2)×D5911yescharacteristic
1873C4H(5,𝔽2)×D5911yescharacteristic
1874C2—41no—
1875C2—81no—
1876C2—81no—
1877C2—4721no—
1878C2—2361no—
1879C2—2361no—
1880C2—2361no—
1881C2—2361no—
1882C2—2362no—
1883C2—2362no—
1884C2#2143773011yescharacteristic
1885C2#2143886611yescharacteristic
1886C2#2143886811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3225C2
socleC22×C59C23×D4
hypercenter#3225D59
hypocenterC59#61636
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3225

Complements

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

NH ≅ G/Ntype
1. #21438368C2semidirect
2. #21437739C2semidirect
3. #21436259C2semidirect
4. #21436251C2semidirect
5. #21436139C2semidirect
6. #21436131C2semidirect
7. #21436027C2semidirect
8. #21436023C2semidirect
9. #21436016C2semidirect
10. #21436012C2semidirect
11. #21435802C2semidirect
12. #21435798C2semidirect
13. #21435780C2semidirect
14. #21435776C2semidirect
15. #21435650C2semidirect
16. #21435646C2semidirect
17. #21435627C2semidirect
18. #21435620C2semidirect
19. #21435205C2semidirect
20. #21434989C2semidirect
21. #21434966C2semidirect
22. #21434888C2semidirect
23. #21434886C2semidirect
24. #21434282C2semidirect
25. #21434274C2semidirect
26. #21433370C2semidirect
27. #21433361C2semidirect
28. #21433319C2semidirect
29. #21433313C2semidirect
30. #21433151C2semidirect
31. C59×#3225C2semidirect
33. C22×#11745689C22semidirect
34. C2×#14273759C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273750C22semidirect
37. C2×#14273750C22semidirect
38. C2×#14273748C22semidirect
39. C2×#14273748C22semidirect
40. C2×SD16×D59C22semidirect
41. C2×D8×D59C22semidirect
45. #16838126C22semidirect
46. #16838125C22semidirect
47. #16838118C22semidirect
48. #16838117C22semidirect
50. #16838064C22semidirect
51. #16838060C22semidirect
54. #16838055C22semidirect
55. #16838055C22semidirect
58. #16838047C22semidirect
61. #16838045C22semidirect
62. #16838045C22semidirect
63. #16838045C22semidirect
67. #16838023C22semidirect
76. #16837915C22semidirect
78. #16837912C22semidirect
79. #16837909C22semidirect
82. #16837876C22semidirect
83. #16837794C22semidirect
84. #16837784C22semidirect
85. #16837761C22semidirect
86. #16837752C22semidirect
87. #16837744C22semidirect
88. #16837742C22semidirect
89. #16837742C22semidirect
90. #16837742C22semidirect
91. #16837741C22semidirect
92. #16837741C22semidirect
93. #16837741C22semidirect
94. #16837740C22semidirect
95. #16837727C22semidirect
96. #16837725C22semidirect
97. #16837724C22semidirect
98. #16837723C22semidirect
99. #16837693C22semidirect
100. #16837689C22semidirect
101. #16837683C22semidirect
102. #16837679C22semidirect
103. #16837659C22semidirect
104. #16837657C22semidirect
105. #16837651C22semidirect
106. #16837645C22semidirect
107. #16837642C22semidirect
108. #16837642C22semidirect
109. #16837640C22semidirect
110. #16837640C22semidirect
111. #16837637C22semidirect
112. #16837635C22semidirect
113. #16837634C22semidirect
114. #16837634C22semidirect
115. #16837630C22semidirect
116. #16837628C22semidirect
117. #16837628C22semidirect
118. #16837628C22semidirect
119. #16837621C22semidirect
120. #16837618C22semidirect
121. #16837618C22semidirect
122. #16837614C22semidirect
123. #16837614C22semidirect
124. #16837614C22semidirect
125. #16837609C22semidirect
126. #16837604C22semidirect
127. #16837567C22semidirect
128. #16837567C22semidirect
129. #16837567C22semidirect
130. #16837564C22semidirect
131. #16837563C22semidirect
132. #16837563C22semidirect
133. #16837563C22semidirect
134. #16837563C22semidirect
135. #16837561C22semidirect
136. #16837558C22semidirect
137. #16837556C22semidirect
138. #16837556C22semidirect
139. #16837555C22semidirect
140. #16837554C22semidirect
141. #16837552C22semidirect
142. #16837551C22semidirect
143. #16837551C22semidirect
144. #16837551C22semidirect
145. #16837550C22semidirect
146. #16837550C22semidirect
147. #16837550C22semidirect
149. #16837546C22semidirect
150. #16837546C22semidirect
151. #16837546C22semidirect
152. #16837546C22semidirect
153. #16837544C22semidirect
154. #16837541C22semidirect
156. #16837537C22semidirect
158. #16837534C22semidirect
159. #16837515C22semidirect
160. #16837512C22semidirect
161. #16837504C22semidirect
162. #16837500C22semidirect
163. C4×#11745660C22semidirect
164. C4×#11745671C22semidirect
165. C4×D472C22semidirect
166. C4×#11745669C22semidirect
167. #16837475C22semidirect
168. #16837475C22semidirect
169. #16837472C22semidirect
170. #16837472C22semidirect
171. C8×D236C22semidirect
172. C8×D236C22semidirect
173. #16837467C22semidirect
174. #16837467C22semidirect
175. #16837463C22semidirect
176. #16837405C22semidirect
177. #16837405C22semidirect
178. #16837397C22semidirect
179. #16837397C22semidirect
180. #16837397C22semidirect
181. #16837397C22semidirect
182. #16837397C22semidirect
183. #16837397C22semidirect
186. C22⋊C8×D59C22semidirect
187. C22⋊C8×D59C22semidirect
188. C59×#542C22semidirect
189. C59×#536C22semidirect
190. C59×#497C22semidirect
191. C59×#495C22semidirect
192. C59×#489C22semidirect
193. C59×#487C22semidirect
194. C59×#464C22semidirect
195. C59×#463C22semidirect
196. C59×#462C22semidirect
197. C59×#461C22semidirect
198. C59×#452C22semidirect
199. C59×#451C22semidirect
201. C59×#448C22semidirect
202. C59×#433C22semidirect
950. #3225D59semidirect
1012. #542C2×D59semidirect
1017. #536C2×D59semidirect
1029. #497C2×D59semidirect
1031. #495C2×D59semidirect
1033. #489C2×D59semidirect
1035. #487C2×D59semidirect
1069. #464C2×D59semidirect
1075. #463C2×D59semidirect
1077. #462C2×D59semidirect
1079. #461C2×D59semidirect
1089. #452C2×D59semidirect
1093. #451C2×D59semidirect
1111. #448C2×D59semidirect
1133. #433C2×D59semidirect
1146. C59#61636semidirect

Maximal subgroups

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

subgroupindex
#214383682
#214377392
#214362592
#214362512
#214361392
#214361312
#214360272
#214360232
#214360162
#214360122
#214358022
#214357982
#214357802
#214357762
#214356502
#214356462
#214356272
#214356202
#214352052
#214349892
#214349662
#214348882
#214348862
#214342822
#214342742
#214333702
#214333612
#214333192
#214333132
#214331512
C59×#32252
#6163659