Finite Group Databasebeta

← #29481247

Subgroups — #29481247

Order 15104.

1930 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438060C211yesmaximal, characteristic, complemented
2#21437707C211yesmaximal, characteristic, complemented
3#21437186C211yesmaximal, characteristic, complemented
4#21437162C211yesmaximal, characteristic, complemented
5#21436849C211yesmaximal, characteristic, complemented
6#21436346C211yesmaximal, characteristic, complemented
7#21436296C211yesmaximal, characteristic, complemented
8#21436266C211yesmaximal, characteristic, complemented
9#21436234C211yesmaximal, characteristic, complemented
10#21436204C211yesmaximal, characteristic, complemented
11#21436176C211yesmaximal, characteristic, complemented
12#21435729C211yesmaximal, characteristic, complemented
13#21435702C211yesmaximal, characteristic, complemented
14#21435612C211yesmaximal, characteristic, complemented
15#21435593C211yesmaximal, characteristic, complemented
16#21435582C211yesmaximal, characteristic, complemented
17#21435578C211yesmaximal, characteristic, complemented
18#21435496C211yesmaximal, characteristic, complemented
19#21435461C211yesmaximal, characteristic, complemented
20#21435450C211yesmaximal, characteristic, complemented
21#21435136C211yesmaximal, characteristic, complemented
22#21435084C211yesmaximal, characteristic, complemented
23#21435062C211yesmaximal, characteristic, complemented
24#21434232C211yesmaximal, characteristic, complemented
25#21434209C211yesmaximal, characteristic, complemented
26#21434147C211yesmaximal, characteristic, complemented
27#21433585C211yesmaximal, characteristic, complemented
28#21433561C211yesmaximal, characteristic, complemented
29#463×D59C211yesmaximal, characteristic, complemented
30#21433212C211yesmaximal, characteristic, complemented
31C59×#3376C211yesmaximal, characteristic, complemented
32C2×#14273756C2211yescharacteristic, complemented
33C2×#14273754C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic
38#16838137C2211yescharacteristic, complemented
39#16838137C2211yescharacteristic, complemented
40#16838115—21no—
41#16838113C2211yescharacteristic, complemented
42#16838105C2211yescharacteristic
43#16838105C2211yescharacteristic, complemented
44#16838100—21no—
45#16838079—21no—
46#16838079—21no—
47#16838077—21no—
48#16838077—21no—
49#16838067C2211yescharacteristic, complemented
50#16838064C2211yescharacteristic
51#16838064C2211yescharacteristic, complemented
52#16838047C2211yescharacteristic
53#16838047C2211yescharacteristic, complemented
54#16838045C2211yescharacteristic
55#16838045C2211yescharacteristic, complemented
56#16838043—21no—
57#16838043—21no—
58D4×D236C2211yescharacteristic, complemented
59D4×D236C2211yescharacteristic, complemented
60#16838025—21no—
61#16837991—21no—
62#16837991—21no—
63#16837953C2211yescharacteristic, complemented
64#16837953C2211yescharacteristic, complemented
65#16837939C2211yescharacteristic, complemented
66#16837939C2211yescharacteristic, complemented
67#16837938—21no—
68#16837937C2211yescharacteristic, complemented
69#16837937C2211yescharacteristic, complemented
70#16837934C2211yescharacteristic, complemented
71#124×D59C2211yescharacteristic, complemented
72#124×D59C2211yescharacteristic, complemented
73#16837915—21no—
74#16837915—21no—
75#16837876—21no—
76C4×#11745689C2211yescharacteristic
77C4×#11745687C2211yescharacteristic, complemented
78C2×#14273689—21no—
79C4×D4×D59C2211yescharacteristic, complemented
80C4×D4×D59C2211yescharacteristic, complemented
81#16837794C2211yescharacteristic, complemented
82#16837792C2211yescharacteristic
83#16837791C2211yescharacteristic, complemented
84#16837791C2211yescharacteristic, complemented
85#16837786C2211yescharacteristic, complemented
86#16837784C2211yescharacteristic, complemented
87#16837768C2211yescharacteristic, complemented
88#16837764C2211yescharacteristic, complemented
89#16837759C2211yescharacteristic, complemented
90#16837742C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837734C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837714C2211yescharacteristic, complemented
96#16837708C2211yescharacteristic, complemented
97#16837706C2211yescharacteristic, complemented
98#16837701C2211yescharacteristic, complemented
99#16837701C2211yescharacteristic, complemented
100#16837700C2211yescharacteristic, complemented
101#16837699C2211yescharacteristic, complemented
102#16837679C2211yescharacteristic, complemented
103#16837661C2211yescharacteristic, complemented
104#16837656C2211yescharacteristic, complemented
105#16837656C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic
107#16837651C2211yescharacteristic, complemented
108#16837651C2211yescharacteristic, complemented
109#16837649C2211yescharacteristic, complemented
110#16837647C2211yescharacteristic, complemented
111#16837642C2211yescharacteristic, complemented
112#16837639C2211yescharacteristic
113#16837634C2211yescharacteristic, complemented
114#16837632C2211yescharacteristic, complemented
115#16837627C2211yescharacteristic, complemented
116#16837627C2211yescharacteristic, complemented
117#16837625C2211yescharacteristic, complemented
118#16837625C2211yescharacteristic, complemented
119#16837624C2211yescharacteristic, complemented
120#16837623C2211yescharacteristic, complemented
121#16837621C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic, complemented
123#16837620C2211yescharacteristic, complemented
124#16837620C2211yescharacteristic, complemented
125#16837620C2211yescharacteristic, complemented
126#16837619C2211yescharacteristic, complemented
127#16837619C2211yescharacteristic, complemented
128#16837618C2211yescharacteristic, complemented
129#16837618C2211yescharacteristic, complemented
130#16837617C2211yescharacteristic, complemented
131#16837617C2211yescharacteristic, complemented
132#16837617C2211yescharacteristic, complemented
133#16837616C2211yescharacteristic, complemented
134#16837616C2211yescharacteristic, complemented
135#16837615C2211yescharacteristic
136#16837614C2211yescharacteristic, complemented
137#16837604C2211yescharacteristic, complemented
138#16837602C2211yescharacteristic, complemented
139#16837598C2211yescharacteristic, complemented
140#16837598C2211yescharacteristic, complemented
141#16837597C2211yescharacteristic
142#16837567C2211yescharacteristic, complemented
143#16837567C2211yescharacteristic, complemented
144#16837561C2211yescharacteristic, complemented
145#16837559C2211yescharacteristic, complemented
146#16837554C2211yescharacteristic, complemented
147#16837554C2211yescharacteristic, complemented
148#16837551C2211yescharacteristic, complemented
149#16837550C2211yescharacteristic, complemented
150#16837550C2211yescharacteristic, complemented
151#16837548C2211yescharacteristic
152#16837542C2211yescharacteristic, complemented
153#16837542C2211yescharacteristic, complemented
154#16837542C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic
156#16837537C2211yescharacteristic
157#16837537C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic
160#16837533C2211yescharacteristic, complemented
161#16837512C2211yescharacteristic, complemented
162#16837512C2211yescharacteristic, complemented
163#16837507C2211yescharacteristic, complemented
164#16837504C2211yescharacteristic, complemented
165#16837504C2211yescharacteristic, complemented
166#16837502C2211yescharacteristic, complemented
167C4×#11745671C2211yescharacteristic, complemented
168C4×D472C2211yescharacteristic, complemented
169C4×#11745669C2211yescharacteristic, complemented
170#16837481C2211yescharacteristic, complemented
171#16837479C2211yescharacteristic, complemented
172#16837475C2211yescharacteristic, complemented
173#16837475C2211yescharacteristic, complemented
174#16837472C2211yescharacteristic, complemented
175#16837472C2211yescharacteristic, complemented
176#16837457C2211yescharacteristic, complemented
177#16837457C2211yescharacteristic, complemented
178#16837453C2211yescharacteristic, complemented
179#16837424C2211yescharacteristic, complemented
180#16837424C2211yescharacteristic, complemented
181C4⋊C8×D59C2211yescharacteristic, complemented
182#16837409C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic, complemented
184#16837402C2211yescharacteristic, complemented
185#16837402C2211yescharacteristic, complemented
186#103×D59C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#556C2211yescharacteristic, complemented
189C59×#554C2211yescharacteristic, complemented
190C59×#491C2211yescharacteristic, complemented
191C59×#489C2211yescharacteristic, complemented
192C59×#488C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#478C2211yescharacteristic, complemented
195C59×#475C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic
197C59×#463C2211yescharacteristic
198C59×#461C2211yescharacteristic, complemented
199C59×#446C2211yescharacteristic, complemented
200C59×#442C2211yescharacteristic
201C59×#440C2211yescharacteristic, complemented
202C4×SD16×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689D411yescharacteristic
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C2×Q8×D59C2311yescharacteristic
210C22×D236—21no—
211C22×D236—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215C2×D4×D59C2311yescharacteristic
216C22×C4×D59—21no—
217C22×C4×D59—21no—
218#14273756—42no—
219#14273754—42no—
220#14273754—42no—
221#14273751—42no—
222C2×Dic236C2311yescharacteristic
223C2×#11745672C2311yescharacteristic
224C2×#11745672C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745660C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235SD16×D59—42no—
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×D472C2311yescharacteristic
239C2×D472C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244D8×D59—42no—
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C2×C8×D59C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251#14273726—21no—
252#14273724C2311yescharacteristic
253#14273724C2311yescharacteristic
254#14273722—21no—
255#14273722—21no—
256#14273722—21no—
257#14273722—21no—
258#14273722—21no—
259#14273722—21no—
260#14273720—21no—
261#14273718—21no—
262#14273718C2311yescharacteristic
263#14273716—21no—
264#14273716—21no—
265#14273716—21no—
266#14273716C2311yescharacteristic
267#14273716C2311yescharacteristic
268#14273715—21no—
269#14273715—21no—
270#14273715C2311yescharacteristic
271#14273715C2311yescharacteristic
272#14273715C2311yescharacteristic
273#14273715C2311yescharacteristic
274#14273714C2311yescharacteristic
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273711—21no—
290#14273711—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709—21no—
294#14273707—21no—
295#14273707—21no—
296#14273707C2311yescharacteristic
297#14273707C2311yescharacteristic
298#14273707C2311yescharacteristic
299#14273705—21no—
300#14273705—21no—
301#14273703—21no—
302#14273703—21no—
303#14273703C2311yescharacteristic
304#14273703C2311yescharacteristic
305#14273702—21no—
306#14273702—21no—
307#14273702—21no—
308#14273702—21no—
309#14273702—21no—
310#14273702—21no—
311#14273702—21no—
312#14273702C2311yescharacteristic
313#14273702C2311yescharacteristic
314#14273702C2311yescharacteristic
315#14273702C2311yescharacteristic
316#14273702C2311yescharacteristic
317#14273702C2311yescharacteristic
318#14273701—21no—
319#14273701—21no—
320#14273701—21no—
321#14273701—21no—
322#14273700—21no—
323#14273700—21no—
324#14273698C2311yescharacteristic
325#14273697—21no—
326#14273697—21no—
327#14273697—21no—
328#14273697—21no—
329#14273697—21no—
330#14273697—21no—
331#14273697—21no—
332#14273697—21no—
333Q8×Dic59D411yescharacteristic
334C4×Dic118C2311yescharacteristic
335C4×Dic118C2311yescharacteristic
336#14273692C2311yescharacteristic
337C4×D236—21no—
338C4×D236—21no—
339C4×D236—21no—
340C4×D236—21no—
341C4×D236C2311yescharacteristic
342C4×D236C2311yescharacteristic
343C4×D236C2311yescharacteristic
344C4×D236C2311yescharacteristic
345C4×D236C2311yescharacteristic
346C4×D236C2311yescharacteristic
347C4×D236C2311yescharacteristic
348D4×Dic59C2311yescharacteristic
349#14273689—21no—
350#14273689—21no—
351#14273689—21no—
352#14273689—21no—
353#14273689—21no—
354#14273689—21no—
355#14273689—21no—
356#14273689—21no—
357#14273689—21no—
358#14273689—21no—
359#14273689—21no—
360#14273689D411yescharacteristic
361#14273689D411yescharacteristic
362#14273689D411yescharacteristic
363#14273689C2311yescharacteristic
364#14273689C2311yescharacteristic
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372#14273686—21no—
373#14273685—21no—
374#14273685—21no—
375#14273685D411yescharacteristic
376#14273685D411yescharacteristic
377#14273685D411yescharacteristic
378#14273685C2311yescharacteristic
379#14273684—21no—
380#14273684—21no—
381#14273683—21no—
382C4⋊C4×D59C2311yescharacteristic
383C4⋊C4×D59C2311yescharacteristic
384C2×(C2×D59)⋊C4—21no—
385C2×(C2×D59)⋊C4—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C2×C4×Dic59—21no—
395C42×D59C2311yescharacteristic
396C42×D59C2311yescharacteristic
397C42×D59C2311yescharacteristic
398#14273661C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273660C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404C4⋊(C59⋊C8)C2311yescharacteristic
405C4⋊(C59⋊C8)C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438#14273638C2311yescharacteristic
439#14273638C2311yescharacteristic
440C4×C59⋊C8C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444C4⋊Q8×C59C2311yescharacteristic
445C4⋊Q8×C59C2311yescharacteristic
446#126×C59—21no—
447#126×C59—21no—
448#125×C59C2311yescharacteristic
449#125×C59C2311yescharacteristic
450#124×C59C2311yescharacteristic
451#124×C59C2311yescharacteristic
452C22⋊Q8×C59—21no—
453C22⋊Q8×C59—21no—
454C22⋊Q8×C59—21no—
455C22⋊Q8×C59—21no—
456C4×Q8×C59C2311yescharacteristic
457C4×Q8×C59C2311yescharacteristic
458C4×Q8×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463#117×C59—21no—
464C2×C4⋊C4×C59—21no—
465#107×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469C4⋊C8×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C2×Q8×C59—21no—
489C2×Q8×C59C2×D411yescharacteristic
490C2×Q8×C59C2411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59C2411yescharacteristic
493C2×D4×C59C2411yescharacteristic
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C2×C22⋊D59—21no—
499C2×C22⋊D59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C22×Dic59—21no—
505C22×Dic59—21no—
506#11745689—42no—
507#11745689—41no—
508#11745689—41no—
509#11745689—41no—
510#11745689—41no—
511#11745689—82no—
512Q8×D59—41no—
513Q8×D59—41no—
514Q8×D59—41no—
515Q8×D59—41no—
516#11745687—22no—
517#11745687—41no—
518D4×D59—22no—
519D4×D59—22no—
520D4×D59—41no—
521D4×D59—41no—
522D4×D59—41no—
523D4×D59—41no—
524D4×D59—41no—
525D4×D59—41no—
526C2×D236—21no—
527C2×D236—21no—
528C2×D236—21no—
529C2×D236—21no—
530C2×D236—21no—
531C2×D236—21no—
532C2×D236—21no—
533C2×D236—21no—
534C2×D236—21no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—44no—
539C2×D236—44no—
540C2×D236C2×D411yescharacteristic
541C2×D236C2×D411yescharacteristic
542C2×D236C2×D411yescharacteristic
543C2×D236C2411yescharacteristic
544C2×D236C2411yescharacteristic
545C2×D236C2411yescharacteristic
546C2×D236C2411yescharacteristic
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—82no—
560C2×C4×D59—82no—
561C2×C4×D59C2×D411yescharacteristic
562C2×C4×D59C2×D411yescharacteristic
563C2×C4×D59C2×D411yescharacteristic
564C2×C4×D59C2×D411yescharacteristic
565C2×C4×D59C2×D411yescharacteristic
566C2×C4×D59C2×D411yescharacteristic
567C2×C4×D59C2411yescharacteristic
568C2×C4×D59C2411yescharacteristic
569C2×C4×D59C2411yescharacteristic
570C2×Dic118—21no—
571C2×Dic118—21no—
572C2×Dic118C2411yescharacteristic
573C2×Dic118C2411yescharacteristic
574SD16×C59—22no—
575SD16×C59—22no—
576D8×C59—22no—
577C2×C8×C59C2411yescharacteristic
578C2×C8×C59C2411yescharacteristic
579C2×C8×C59C2411yescharacteristic
580C2×C8×C59C2411yescharacteristic
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59—21no—
584C4⋊C4×C59—21no—
585C4⋊C4×C59—21no—
586C4⋊C4×C59—21no—
587C4⋊C4×C59—21no—
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59C2×D411yescharacteristic
591C4⋊C4×C59C2×D411yescharacteristic
592C4⋊C4×C59C2×D411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C4⋊C4×C59C2411yescharacteristic
596C4⋊C4×C59C2411yescharacteristic
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C42×C59—21no—
606C42×C59—21no—
607C42×C59C2411yescharacteristic
608C42×C59C2411yescharacteristic
609C42×C59C2411yescharacteristic
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614#11745672—41no—
615#11745672—41no—
616#11745671—41no—
617#11745671—41no—
618#11745671—41no—
619#11745671—41no—
620#11745670—22no—
621#11745670—41no—
622#11745669—22no—
623#11745669—22no—
624#11745669—41no—
625#11745669—41no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659(C2×D59)⋊C4C2×D411yescharacteristic
660(C2×D59)⋊C4C2×D411yescharacteristic
661(C2×D59)⋊C4C2×D411yescharacteristic
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
666C4⋊Dic59C2×D411yescharacteristic
667C4⋊Dic59C2×D411yescharacteristic
668C4⋊Dic59C2×D411yescharacteristic
669C4⋊Dic59C2411yescharacteristic
670C4⋊Dic59C2411yescharacteristic
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59C2×D411yescharacteristic
684C4×Dic59C2×D411yescharacteristic
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2×D411yescharacteristic
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C2×C59⋊C8C2411yescharacteristic
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694Dic236—41no—
695D472—41no—
696D472—41no—
697D472—41no—
698D472—41no—
699#11745660—41no—
700#11745660—41no—
701#11745660—41no—
702#11745660—41no—
703#11745659—41no—
704#11745659—41no—
705#11745659—41no—
706#11745659—41no—
707C8×D59—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—42no—
716C22×D59—42no—
717C22×D59—42no—
718C22×D59—42no—
719C22×D59—42no—
720C22×D59—42no—
721C22×D59—81no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59C22×D411yescharacteristic
728C22×D59C22×D411yescharacteristic
729C22×D59C22×D411yescharacteristic
730Q8×C59—21no—
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—21no—
734Q8×C59—41no—
735Q8×C59—81no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59H(5,𝔽2)12yes—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—42no—
747C2×C4×C59—42no—
748C2×C4×C59—81no—
749C2×C4×C59—81no—
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C2511yescharacteristic
757C22⋊D59—42no—
758C22⋊D59—42no—
759C22⋊D59—42no—
760C22⋊D59—81no—
761C22⋊D59—81no—
762C22⋊D59—81no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—42no—
768C2×Dic59—42no—
769C2×Dic59C22×D411yescharacteristic
770C2×Dic59C22×D411yescharacteristic
771C2×Dic59C22×D411yescharacteristic
772C2×Dic59C22×D411yescharacteristic
773C2×Dic59C22×D411yescharacteristic
774D236—22no—
775D236—22no—
776D236—21no—
777D236—21no—
778D236—21no—
779D236—21no—
780D236—21no—
781D236—21no—
782D236—21no—
783D236—21no—
784D236—41no—
785D236—42no—
786D236—42no—
787D236—42no—
788D236—42no—
789D236—42no—
790D236—42no—
791D236—81no—
792D236—81no—
793D236—81no—
794D236—81no—
795D236—81no—
796D236—81no—
797C4×D59—22no—
798C4×D59—21no—
799C4×D59—21no—
800C4×D59—21no—
801C4×D59—21no—
802C4×D59—21no—
803C4×D59—21no—
804C4×D59—41no—
805C4×D59—41no—
806C4×D59—41no—
807C4×D59—41no—
808C4×D59—41no—
809C4×D59—42no—
810C4×D59—42no—
811C4×D59—81no—
812C4×D59—81no—
813C4×D59—81no—
814C4×D59—81no—
815C4×D59—81no—
816C4×D59—81no—
817C4×D59—81no—
818C4×D59—81no—
819C4×D59—81no—
820C4×D59—81no—
821Dic118—21no—
822Dic118—21no—
823Dic118—21no—
824Dic118—21no—
825Dic118—81no—
826Dic118—81no—
827C8×C59—21no—
828C8×C59—21no—
829C8×C59—21no—
830C8×C59—21no—
831C59⋊C8—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835#61971—591nomaximal, Sylow
836C22×C59—22no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59C23×D411yescharacteristic
843C2×D59—21no—
844C2×D59—21no—
845C2×D59—21no—
846C2×D59—21no—
847C2×D59—21no—
848C2×D59—21no—
849C2×D59—21no—
850C2×D59—21no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—84no—
864C2×D59—84no—
865C2×D59—162no—
866C2×D59—162no—
867C2×D59#57512yes—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—21no—
873C4×C59—21no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878C4×C59—41no—
879C4×C59—41no—
880C4×C59C2×H(5,𝔽2)11yescharacteristic
881C4×C59#58511yescharacteristic
882Dic59—21no—
883Dic59—21no—
884Dic59—21no—
885Dic59—21no—
886Dic59—21no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891#3514—591no—
892#3481—591no—
893#3403—591no—
894#3401—591no—
895#3376D5911yescharacteristic, complemented
896#3370—591no—
897#3326—591no—
898#3322—591no—
899#3320—591no—
900#3318—591no—
901#3316—591no—
902#3314—591no—
903#3275—591no—
904#3273—591no—
905#3266—591no—
906#3265—591no—
907#3264—591no—
908#3264—591no—
909#3256—591no—
910#3251—591no—
911#3250—591no—
912#3219—591no—
913#3213—591no—
914#3211—591no—
915#3114—591no—
916#3111—591no—
917#3105—591no—
918#3040—591no—
919#3036—591no—
920C2×#463—591no—
921#2989—591no—
922C2×C59—42no—
923C2×C59—81no—
924C2×C59#348811yescharacteristic
925C2×C59C2×#57511yescharacteristic
926C2×C59#358511yescharacteristic
927D59—22no—
928D59—41no—
929D59—41no—
930D59—81no—
931D59—81no—
932D59—81no—
933D59—81no—
934C2×#137—591no—
935C2×AGL(1,ℤ/8)—591no—
936C2×AGL(1,ℤ/8)—591no—
937C2×AGL(1,ℤ/8)—591no—
938C22×SD16—591no—
939C22×D8—591no—
940#559—591no—
941#559—591no—
942#556C2×D5911yescharacteristic, complemented
943#555—1181no—
944#554—591no—
945#554C2×D5911yescharacteristic, complemented
946#553—591no—
947#553—591no—
948#553—1181no—
949#551—1181no—
950#551—1181no—
951#551—1181no—
952#551—1181no—
953D4×Q8—591no—
954#548—591no—
955#548—591no—
956#546—591no—
957#546—591no—
958#546—591no—
959#546—591no—
960#546—1181no—
961#546—1181no—
962D42—591no—
963D42—591no—
964#542—1181no—
965#538—1181no—
966#538—1181no—
967#532—591no—
968#532—591no—
969#529—591no—
970#529—591no—
971#529—591no—
972#529—591no—
973#529—591no—
974#529—1181no—
975C2×#124—591no—
976C2×#124—591no—
977#525—1181no—
978#525—1181no—
979#518—1181no—
980C4×#41—591no—
981C4×#41—591no—
982C2×C4×D4—591no—
983C2×C4×D4—591no—
984C2×C4×D4—1181no—
985#497—591no—
986#496—591no—
987#496—591no—
988#496—591no—
989#495—591no—
990#495—591no—
991#491C2×D5911yescharacteristic, complemented
992#490—591no—
993#489—591no—
994#489C2×D5911yescharacteristic, complemented
995#488—591no—
996#488C2×D5911yescharacteristic, complemented
997#485—591no—
998#484—591no—
999#483—591no—
1000#482—591no—
1001#481—591no—
1002#480—591no—
1003#479—591no—
1004#479—591no—
1005#479C2×D5911yescharacteristic, complemented
1006#478—591no—
1007#478—591no—
1008#478—591no—
1009#478—591no—
1010#478C2×D5911yescharacteristic, complemented
1011#475C2×D5911yescharacteristic, complemented
1012#474—591no—
1013#470—591no—
1014#469—591no—
1015#469—591no—
1016#469—591no—
1017#468—591no—
1018#468—591no—
1019#468—591no—
1020#468—591no—
1021#467—591no—
1022#466—591no—
1023#465—591no—
1024#465—591no—
1025#464—591no—
1026#464—591no—
1027#464—591no—
1028#464—591no—
1029#464—591no—
1030#464—591no—
1031#464—591no—
1032#463—591no—
1033#463—591no—
1034#463—591no—
1035#463—591no—
1036#463—591no—
1037#463—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#463C2×D5911yescharacteristic
1048#463C2×D5911yescharacteristic
1049#461—591no—
1050#461C2×D5911yescharacteristic, complemented
1051#460—591no—
1052#459—591no—
1053#459—591no—
1054#459—591no—
1055#452—591no—
1056#452—591no—
1057#452—591no—
1058#451—591no—
1059#450—591no—
1060#450—591no—
1061#450—591no—
1062#449—591no—
1063#449—591no—
1064#449—591no—
1065#448—591no—
1066#448—591no—
1067#448—591no—
1068#447—591no—
1069#447—591no—
1070#447—591no—
1071#447—591no—
1072#447—591no—
1073#446—591no—
1074#446C2×D5911yescharacteristic, complemented
1075#442—591no—
1076#442—591no—
1077#442C2×D5911yescharacteristic
1078#441—591no—
1079#440—591no—
1080#440—591no—
1081#440—591no—
1082#440C2×D5911yescharacteristic, complemented
1083C4×SD16—591no—
1084C4×SD16C2×D5911yescharacteristic, complemented
1085C4×D8—591no—
1086C4×D8—591no—
1087#436—591no—
1088#436—591no—
1089#435—591no—
1090#435—591no—
1091#435—591no—
1092#435—591no—
1093#432—591no—
1094#432—591no—
1095#431—591no—
1096#423—591no—
1097#423—591no—
1098C2×C4⋊C8—591no—
1099#419—591no—
1100#418—591no—
1101#417—591no—
1102#417—591no—
1103C2×#103—591no—
1104C2×#102—591no—
1105C59#6197111yescharacteristic, complemented, Sylow
1106C2×#41—591no—
1107C2×#41—591no—
1108C2×#41—591no—
1109C2×#41—591no—
1110C2×#41—1181no—
1111C22×Q8—591no—
1112C22×Q8—591no—
1113C22×D4—591no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—591no—
1117C22×D4—1181no—
1118C22×D4—1181no—
1119C23×C4—1181no—
1120C23×C4—1181no—
1121#137—2362no—
1122AGL(1,ℤ/8)—2362no—
1123AGL(1,ℤ/8)—2362no—
1124AGL(1,ℤ/8)—2362no—
1125C2×Q16—591no—
1126C2×Q16—591no—
1127C2×Q16—591no—
1128C2×SD16—591no—
1129C2×SD16—591no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—591no—
1134C2×SD16—591no—
1135C2×SD16—591no—
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—2362no—
1139C2×SD16C22×D5911yescharacteristic
1140C2×SD16C22×D5911yescharacteristic
1141C2×D8—591no—
1142C2×D8—591no—
1143C2×D8—591no—
1144C2×D8—591no—
1145C2×D8—591no—
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8—591no—
1149C2×D8—2362no—
1150C2×D8C22×D5911yescharacteristic
1151C2×M16—591no—
1152C2×M16—591no—
1153C2×M16—591no—
1154C2×M16—591no—
1155C22×C8—591no—
1156C22×C8—591no—
1157C4⋊Q8—1181no—
1158C4⋊Q8C22×D5911yescharacteristic
1159C4⋊Q8C22×D5911yescharacteristic
1160#127—591no—
1161#127—591no—
1162#126—21no—
1163#126—21no—
1164#126—1181no—
1165#126—1181no—
1166#126—1181no—
1167#126—1181no—
1168#126—1181no—
1169#126—1181no—
1170#126—1181no—
1171#125—591no—
1172#125—1181no—
1173#125C22×D5911yescharacteristic
1174#125C22×D5911yescharacteristic
1175#124—591no—
1176#124—591no—
1177#124—591no—
1178#124—591no—
1179#124—591no—
1180#124—591no—
1181#124—591no—
1182#124—1181no—
1183#124—1181no—
1184#124—1181no—
1185#124—1181no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124C22×D5911yescharacteristic
1192#124C22×D5911yescharacteristic
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—591no—
1213C22⋊Q8—591no—
1214C22⋊Q8—591no—
1215C22⋊Q8—591no—
1216C22⋊Q8—591no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223#121—591no—
1224#121—591no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—591no—
1229#121—591no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#120—1181no—
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251C4×Q8—591no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8C22×D5911yescharacteristic
1256C4×Q8C22×D5911yescharacteristic
1257C4×Q8C22×D5911yescharacteristic
1258C4×D4—591no—
1259C4×D4—591no—
1260C4×D4—591no—
1261C4×D4—591no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—1181no—
1272C4×D4—1181no—
1273C4×D4—1181no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4C22×D5911yescharacteristic
1294C4×D4C22×D5911yescharacteristic
1295C4×D4C22×D5911yescharacteristic
1296C4×D4C22×D5911yescharacteristic
1297#117—21no—
1298#117—591no—
1299#117—591no—
1300#117—591no—
1301#117—591no—
1302#117—1181no—
1303#117—1181no—
1304#117—1181no—
1305#117—1181no—
1306#117—1181no—
1307#117—1181no—
1308C2×C4⋊C4—21no—
1309C2×C4⋊C4—591no—
1310C2×C4⋊C4—591no—
1311C2×C22⋊C4—1181no—
1312C2×C22⋊C4—1181no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C22⋊C4—1181no—
1316C2×C22⋊C4—1181no—
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C42—591no—
1322C2×C42—591no—
1323C2×C42—591no—
1324C2×C42—1181no—
1325#107—591no—
1326#107—591no—
1327#107—591no—
1328#107C22×D5911yescharacteristic
1329#106—591no—
1330#106—591no—
1331#106C22×D5911yescharacteristic
1332#106C22×D5911yescharacteristic
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8—591no—
1340C4⋊C8C22×D5911yescharacteristic
1341C4⋊C8C22×D5911yescharacteristic
1342C4⋊C8C22×D5911yescharacteristic
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103C22×D5911yescharacteristic
1352#103C22×D5911yescharacteristic
1353#103C22×D5911yescharacteristic
1354#103C22×D5911yescharacteristic
1355#103C22×D5911yescharacteristic
1356#103C22×D5911yescharacteristic
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102C22×D5911yescharacteristic
1372#102C22×D5911yescharacteristic
1373#102C22×D5911yescharacteristic
1374#102C22×D5911yescharacteristic
1375C22⋊C8—591no—
1376C22⋊C8—591no—
1377C22⋊C8—591no—
1378C22⋊C8—591no—
1379C22⋊C8—591no—
1380C22⋊C8—591no—
1381#97—591no—
1382#97—591no—
1383#97C22×D5911yescharacteristic
1384#97C22×D5911yescharacteristic
1385C4×C8—591no—
1386C4×C8C22×D5911yescharacteristic
1387C24—1181no—
1388C24—1181no—
1389C24—1181no—
1390C24—1181no—
1391#41—1182no—
1392#41—4722no—
1393#41—2361no—
1394#41—2361no—
1395#41—2361no—
1396#41—2361no—
1397#41—2361no—
1398#41—2362no—
1399C2×Q8—21no—
1400C2×Q8—591no—
1401C2×Q8—591no—
1402C2×Q8—1181no—
1403C2×Q8—1181no—
1404C2×Q8—2361no—
1405C2×Q8—2361no—
1406C2×Q8—2361no—
1407C2×Q8—2361no—
1408C2×Q8D4×D5911yescharacteristic
1409C2×Q8C23×D5911yescharacteristic
1410C2×Q8C23×D5911yescharacteristic
1411C2×D4—591no—
1412C2×D4—591no—
1413C2×D4—591no—
1414C2×D4—591no—
1415C2×D4—591no—
1416C2×D4—591no—
1417C2×D4—591no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1182no—
1431C2×D4—1182no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—2364no—
1439C2×D4—2364no—
1440C2×D4—2361no—
1441C2×D4—2361no—
1442C2×D4—2361no—
1443C2×D4—2361no—
1444C2×D4—2361no—
1445C2×D4—2361no—
1446C2×D4C23×D5911yescharacteristic
1447C2×D4C23×D5911yescharacteristic
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—591no—
1453C22×C4—591no—
1454C22×C4—591no—
1455C22×C4—591no—
1456C22×C4—591no—
1457C22×C4—591no—
1458C22×C4—591no—
1459C22×C4—591no—
1460C22×C4—591no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—1181no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—4722no—
1476C22×C4—4722no—
1477Q16—2361no—
1478Q16—2361no—
1479Q16—2361no—
1480SD16—22no—
1481SD16—22no—
1482SD16—1182no—
1483SD16—2361no—
1484SD16—2361no—
1485SD16—2361no—
1486SD16—2361no—
1487SD16—2361no—
1488SD16—2361no—
1489SD16—2361no—
1490SD16—2361no—
1491SD16—2361no—
1492D8—22no—
1493D8—1182no—
1494D8—1182no—
1495D8—2361no—
1496D8—2361no—
1497D8—2361no—
1498D8—2361no—
1499D8—2361no—
1500D8—2361no—
1501M16—2361no—
1502M16—2361no—
1503M16—2361no—
1504M16—2361no—
1505C2×C8—591no—
1506C2×C8—591no—
1507C2×C8—591no—
1508C2×C8—591no—
1509C2×C8—2361no—
1510C2×C8—2361no—
1511C2×C8C23×D5911yescharacteristic
1512C2×C8C23×D5911yescharacteristic
1513C2×C8C23×D5911yescharacteristic
1514C2×C8C23×D5911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4—591no—
1525C4⋊C4—591no—
1526C4⋊C4—591no—
1527C4⋊C4—591no—
1528C4⋊C4—591no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4D4×D5911yescharacteristic
1542C4⋊C4D4×D5911yescharacteristic
1543C4⋊C4D4×D5911yescharacteristic
1544C4⋊C4C23×D5911yescharacteristic
1545C4⋊C4C23×D5911yescharacteristic
1546C4⋊C4C23×D5911yescharacteristic
1547C4⋊C4C23×D5911yescharacteristic
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—591no—
1557C22⋊C4—591no—
1558C22⋊C4—591no—
1559C22⋊C4—591no—
1560C22⋊C4—591no—
1561C22⋊C4—591no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C42—21no—
1597C42—21no—
1598C42—591no—
1599C42—591no—
1600C42—591no—
1601C42—591no—
1602C42—591no—
1603C42—591no—
1604C42—591no—
1605C42—1181no—
1606C42—1181no—
1607C42—1181no—
1608C42—1181no—
1609C42C23×D5911yescharacteristic
1610C42C23×D5911yescharacteristic
1611C42C23×D5911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—591no—
1615C23—591no—
1616C23—591no—
1617C23—1181no—
1618C23—1181no—
1619C23—1181no—
1620C23—1181no—
1621C23—4721no—
1622C23—4721no—
1623C23—4721no—
1624C23—4721no—
1625C23—4721no—
1626C23—4721no—
1627C23—2362no—
1628C23—2362no—
1629C23—2362no—
1630C23—2362no—
1631C23—2362no—
1632C23—2362no—
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—41no—
1638Q8—81no—
1639Q8—1181no—
1640Q8—1181no—
1641Q8—1181no—
1642Q8—1181no—
1643Q8—4721no—
1644Q8—4721no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—1182no—
1649D4—1182no—
1650D4—1181no—
1651D4—1181no—
1652D4—1181no—
1653D4—1181no—
1654D4—1181no—
1655D4—1181no—
1656D4—1181no—
1657D4—1181no—
1658D4—4721no—
1659D4—4721no—
1660D4—4721no—
1661D4—4721no—
1662D4—4721no—
1663D4—4721no—
1664D4—4721no—
1665D4—4721no—
1666D4—4721no—
1667D4—2361no—
1668D4—2362no—
1669D4—2362no—
1670D4—2362no—
1671D4—2362no—
1672D4—2362no—
1673D4—2362no—
1674D4—2362no—
1675D4—2362no—
1676D4—2362no—
1677D4#1427377312yes—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—42no—
1685C2×C4—42no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—591no—
1689C2×C4—591no—
1690C2×C4—591no—
1691C2×C4—591no—
1692C2×C4—591no—
1693C2×C4—1182no—
1694C2×C4—1181no—
1695C2×C4—1181no—
1696C2×C4—1181no—
1697C2×C4—1181no—
1698C2×C4—1181no—
1699C2×C4—1181no—
1700C2×C4—1181no—
1701C2×C4—1181no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—4721no—
1705C2×C4—4721no—
1706C2×C4—4721no—
1707C2×C4—4721no—
1708C2×C4—4721no—
1709C2×C4—4721no—
1710C2×C4—4721no—
1711C2×C4—4721no—
1712C2×C4—4721no—
1713C2×C4—4721no—
1714C2×C4—2361no—
1715C2×C4—2361no—
1716C2×C4—2361no—
1717C2×C4—2361no—
1718C2×C4—2361no—
1719C2×C4—2362no—
1720C2×C4—2362no—
1721C2×C4—2362no—
1722C2×C4—2362no—
1723C2×C4C2×D4×D5911yescharacteristic
1724C2×C4C2×D4×D5911yescharacteristic
1725C2×C4C2×D4×D5911yescharacteristic
1726C2×C4C2×D4×D5911yescharacteristic
1727C2×C4C2×D4×D5911yescharacteristic
1728C2×C4C2×D4×D5911yescharacteristic
1729C2×C4C24×D5911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1181no—
1735C8—1181no—
1736C8—1181no—
1737C8—1181no—
1738C22—22no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—592no—
1745C22—1181no—
1746C22—1181no—
1747C22—1181no—
1748C22—1181no—
1749C22—1181no—
1750C22—1181no—
1751C22—1181no—
1752C22—1181no—
1753C22—9442no—
1754C22—9442no—
1755C22—4724no—
1756C22—4724no—
1757C22—2361no—
1758C22—2361no—
1759C22—2361no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22—2361no—
1769C22C22×D4×D5911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—21no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—1181no—
1783C4—1181no—
1784C4—1181no—
1785C4—1181no—
1786C4—1181no—
1787C4—2361no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4C2×#1427377311yescharacteristic
1792C4#1683823911yescharacteristic
1793C2—42no—
1794C2—81no—
1795C2—1182no—
1796C2—4721no—
1797C2—4721no—
1798C2—4721no—
1799C2—4721no—
1800C2—2361no—
1801C2—2361no—
1802C2#2143776211yescharacteristic
1803C2#575×D5911yescharacteristic
1804C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3376C2
socleC22×C59C23×D4
hypercenter#3376D59
hypocenterC59#61971
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3376

Complements

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

NH ≅ G/Ntype
1. #21438060C2semidirect
2. #21437707C2semidirect
3. #21437186C2semidirect
4. #21437162C2semidirect
5. #21436849C2semidirect
6. #21436346C2semidirect
7. #21436296C2semidirect
8. #21436266C2semidirect
9. #21436234C2semidirect
10. #21436204C2semidirect
11. #21436176C2semidirect
12. #21435729C2semidirect
13. #21435702C2semidirect
14. #21435612C2semidirect
15. #21435593C2semidirect
16. #21435582C2semidirect
17. #21435578C2semidirect
18. #21435496C2semidirect
19. #21435461C2semidirect
20. #21435450C2semidirect
21. #21435136C2semidirect
22. #21435084C2semidirect
23. #21435062C2semidirect
24. #21434232C2semidirect
25. #21434209C2semidirect
26. #21434147C2semidirect
27. #21433585C2semidirect
28. #21433561C2semidirect
29. #463×D59C2semidirect
30. #21433212C2semidirect
31. C59×#3376C2semidirect
32. C2×#14273756C22semidirect
33. C2×#14273754C22semidirect
34. C2×#14273754C22semidirect
36. C2×SD16×D59C22semidirect
38. #16838137C22semidirect
39. #16838137C22semidirect
41. #16838113C22semidirect
43. #16838105C22semidirect
49. #16838067C22semidirect
51. #16838064C22semidirect
53. #16838047C22semidirect
55. #16838045C22semidirect
58. D4×D236C22semidirect
59. D4×D236C22semidirect
63. #16837953C22semidirect
64. #16837953C22semidirect
65. #16837939C22semidirect
66. #16837939C22semidirect
68. #16837937C22semidirect
69. #16837937C22semidirect
70. #16837934C22semidirect
71. #124×D59C22semidirect
72. #124×D59C22semidirect
77. C4×#11745687C22semidirect
79. C4×D4×D59C22semidirect
80. C4×D4×D59C22semidirect
81. #16837794C22semidirect
83. #16837791C22semidirect
84. #16837791C22semidirect
85. #16837786C22semidirect
86. #16837784C22semidirect
87. #16837768C22semidirect
88. #16837764C22semidirect
89. #16837759C22semidirect
90. #16837742C22semidirect
91. #16837736C22semidirect
92. #16837734C22semidirect
93. #16837729C22semidirect
94. #16837722C22semidirect
95. #16837714C22semidirect
96. #16837708C22semidirect
97. #16837706C22semidirect
98. #16837701C22semidirect
99. #16837701C22semidirect
100. #16837700C22semidirect
101. #16837699C22semidirect
102. #16837679C22semidirect
103. #16837661C22semidirect
104. #16837656C22semidirect
105. #16837656C22semidirect
107. #16837651C22semidirect
108. #16837651C22semidirect
109. #16837649C22semidirect
110. #16837647C22semidirect
111. #16837642C22semidirect
113. #16837634C22semidirect
114. #16837632C22semidirect
115. #16837627C22semidirect
116. #16837627C22semidirect
117. #16837625C22semidirect
118. #16837625C22semidirect
119. #16837624C22semidirect
120. #16837623C22semidirect
121. #16837621C22semidirect
122. #16837620C22semidirect
123. #16837620C22semidirect
124. #16837620C22semidirect
125. #16837620C22semidirect
126. #16837619C22semidirect
127. #16837619C22semidirect
128. #16837618C22semidirect
129. #16837618C22semidirect
130. #16837617C22semidirect
131. #16837617C22semidirect
132. #16837617C22semidirect
133. #16837616C22semidirect
134. #16837616C22semidirect
136. #16837614C22semidirect
137. #16837604C22semidirect
138. #16837602C22semidirect
139. #16837598C22semidirect
140. #16837598C22semidirect
142. #16837567C22semidirect
143. #16837567C22semidirect
144. #16837561C22semidirect
145. #16837559C22semidirect
146. #16837554C22semidirect
147. #16837554C22semidirect
148. #16837551C22semidirect
149. #16837550C22semidirect
150. #16837550C22semidirect
152. #16837542C22semidirect
153. #16837542C22semidirect
154. #16837542C22semidirect
157. #16837537C22semidirect
158. #16837537C22semidirect
160. #16837533C22semidirect
161. #16837512C22semidirect
162. #16837512C22semidirect
163. #16837507C22semidirect
164. #16837504C22semidirect
165. #16837504C22semidirect
166. #16837502C22semidirect
167. C4×#11745671C22semidirect
168. C4×D472C22semidirect
169. C4×#11745669C22semidirect
170. #16837481C22semidirect
171. #16837479C22semidirect
172. #16837475C22semidirect
173. #16837475C22semidirect
174. #16837472C22semidirect
175. #16837472C22semidirect
176. #16837457C22semidirect
177. #16837457C22semidirect
178. #16837453C22semidirect
179. #16837424C22semidirect
180. #16837424C22semidirect
181. C4⋊C8×D59C22semidirect
182. #16837409C22semidirect
183. #16837405C22semidirect
184. #16837402C22semidirect
185. #16837402C22semidirect
186. #103×D59C22semidirect
187. #102×D59C22semidirect
188. C59×#556C22semidirect
189. C59×#554C22semidirect
190. C59×#491C22semidirect
191. C59×#489C22semidirect
192. C59×#488C22semidirect
193. C59×#479C22semidirect
194. C59×#478C22semidirect
195. C59×#475C22semidirect
198. C59×#461C22semidirect
199. C59×#446C22semidirect
201. C59×#440C22semidirect
202. C4×SD16×C59C22semidirect
895. #3376D59semidirect
942. #556C2×D59semidirect
945. #554C2×D59semidirect
991. #491C2×D59semidirect
994. #489C2×D59semidirect
996. #488C2×D59semidirect
1005. #479C2×D59semidirect
1010. #478C2×D59semidirect
1011. #475C2×D59semidirect
1050. #461C2×D59semidirect
1074. #446C2×D59semidirect
1082. #440C2×D59semidirect
1084. C4×SD16C2×D59semidirect
1105. C59#61971semidirect

Maximal subgroups

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

subgroupindex
#214380602
#214377072
#214371862
#214371622
#214368492
#214363462
#214362962
#214362662
#214362342
#214362042
#214361762
#214357292
#214357022
#214356122
#214355932
#214355822
#214355782
#214354962
#214354612
#214354502
#214351362
#214350842
#214350622
#214342322
#214342092
#214341472
#214335852
#214335612
#463×D592
#214332122
C59×#33762
#6197159