Finite Group Databasebeta

← #29466169

Subgroups — #29466169

Order 15104.

2160 conjugacy classes of subgroups.

The subgroup lattice has 1890 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437824C211yesmaximal, characteristic, complemented
2#21437762C211yesmaximal, characteristic, complemented
3#21436425C211yesmaximal, characteristic, complemented
4#21436419C211yesmaximal, characteristic, complemented
5#21436345C211yesmaximal, characteristic, complemented
6#21436339C211yesmaximal, characteristic, complemented
7#21436333C211yesmaximal, characteristic, complemented
8#21436303C211yesmaximal, characteristic, complemented
9#21436296C211yesmaximal, characteristic, complemented
10#21436282C211yesmaximal, characteristic, complemented
11#21436275C211yesmaximal, characteristic, complemented
12#21436240C211yesmaximal, characteristic, complemented
13#21436231C211yesmaximal, characteristic, complemented
14#21436106C211yesmaximal, characteristic, complemented
15#21436099C211yesmaximal, characteristic, complemented
16#21436064C211yesmaximal, characteristic, complemented
17#21436055C211yesmaximal, characteristic, complemented
18#21434449C211yesmaximal, characteristic, complemented
19#21434080C211yesmaximal, characteristic, complemented
20#21434035C211yesmaximal, characteristic, complemented
21#21433961C211yesmaximal, characteristic, complemented
22#21433771C211yesmaximal, characteristic, complemented
23#469×D59C211yesmaximal, characteristic, complemented
24#21433597C211yesmaximal, characteristic, complemented
25#21433361C211yesmaximal, characteristic, complemented
26#21433347C211yesmaximal, characteristic, complemented
27#21432923C211yesmaximal, characteristic, complemented
28#21432796C211yesmaximal, characteristic, complemented
29#21432620C211yesmaximal, characteristic, complemented
30#21432614C211yesmaximal, characteristic, complemented
31C59×#3326C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C22×#11745689C2211yescharacteristic
34C2×#14273754C2211yescharacteristic
35C2×#14273754C2211yescharacteristic, complemented
36C2×D8×D59C2211yescharacteristic, complemented
37C2×#14273735C2211yescharacteristic, complemented
38C2×M16×D59C2211yescharacteristic, complemented
39#16838117C2211yescharacteristic, complemented
40#16838116C2211yescharacteristic, complemented
41#16838105C2211yescharacteristic, complemented
42#16838099C2211yescharacteristic, complemented
43#16838096C2211yescharacteristic, complemented
44#16838081—21no—
45#16838077—21no—
46#16838074C2211yescharacteristic, complemented
47#16838071C2211yescharacteristic, complemented
48#16838063C2211yescharacteristic, complemented
49#16838057C2211yescharacteristic, complemented
50#16838053C2211yescharacteristic, complemented
51#16838049—21no—
52#16838045—21no—
53#16838045C2211yescharacteristic, complemented
54#16838044—21no—
55#16838043—21no—
56#16838043C2211yescharacteristic, complemented
57D4×D236—21no—
58D4×D236C2211yescharacteristic, complemented
59#16838036—21no—
60#16838036C2211yescharacteristic, complemented
61#16838032C2211yescharacteristic, complemented
62#16838020—21no—
63#16838002—21no—
64#16837982—21no—
65#16837982C2211yescharacteristic
66#16837970—21no—
67#16837970C2211yescharacteristic
68#16837968C2211yescharacteristic, complemented
69#16837949—21no—
70#16837935—21no—
71#16837911—21no—
72#16837911C2211yescharacteristic
73#121×D59—21no—
74#121×D59C2211yescharacteristic
75#121×D59C2211yescharacteristic, complemented
76#16837884C2211yescharacteristic
77#16837883C2211yescharacteristic, complemented
78#16837874C2211yescharacteristic, complemented
79#117×D59C2211yescharacteristic, complemented
80#16837768C2211yescharacteristic, complemented
81#16837765C2211yescharacteristic, complemented
82#16837763C2211yescharacteristic, complemented
83#16837761C2211yescharacteristic, complemented
84#16837758C2211yescharacteristic, complemented
85#16837749C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837742C2211yescharacteristic, complemented
88#16837740C2211yescharacteristic, complemented
89#16837731C2211yescharacteristic, complemented
90#16837728C2211yescharacteristic, complemented
91#16837727C2211yescharacteristic, complemented
92#16837727C2211yescharacteristic, complemented
93#16837726C2211yescharacteristic, complemented
94#16837723C2211yescharacteristic, complemented
95#16837722C2211yescharacteristic, complemented
96#16837722C2211yescharacteristic, complemented
97#16837720C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837717C2211yescharacteristic, complemented
100#16837714C2211yescharacteristic, complemented
101#16837707C2211yescharacteristic, complemented
102#16837705C2211yescharacteristic, complemented
103#16837699C2211yescharacteristic, complemented
104#16837693C2211yescharacteristic, complemented
105#16837691C2211yescharacteristic, complemented
106#16837687C2211yescharacteristic, complemented
107#16837685C2211yescharacteristic, complemented
108#16837656C2211yescharacteristic, complemented
109#16837655C2211yescharacteristic, complemented
110#16837655C2211yescharacteristic, complemented
111#16837654C2211yescharacteristic, complemented
112#16837654C2211yescharacteristic, complemented
113#16837654C2211yescharacteristic, complemented
114#16837653C2211yescharacteristic, complemented
115#16837653C2211yescharacteristic, complemented
116#16837652C2211yescharacteristic, complemented
117#16837651C2211yescharacteristic, complemented
118#16837639C2211yescharacteristic, complemented
119#16837636C2211yescharacteristic, complemented
120#16837633C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837614C2211yescharacteristic, complemented
125#16837598C2211yescharacteristic, complemented
126#16837597C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic, complemented
128#16837595C2211yescharacteristic, complemented
129#16837550C2211yescharacteristic, complemented
130#16837550C2211yescharacteristic, complemented
131#16837550C2211yescharacteristic, complemented
132#16837547C2211yescharacteristic, complemented
133#16837546C2211yescharacteristic, complemented
134#16837546C2211yescharacteristic, complemented
135#16837546C2211yescharacteristic, complemented
136#16837541C2211yescharacteristic, complemented
137#16837538C2211yescharacteristic, complemented
138#16837538C2211yescharacteristic, complemented
139#16837537C2211yescharacteristic, complemented
140#16837535C2211yescharacteristic, complemented
141#16837535C2211yescharacteristic, complemented
142#16837534C2211yescharacteristic, complemented
143#16837513C2211yescharacteristic, complemented
144#16837512C2211yescharacteristic, complemented
145#16837503C2211yescharacteristic, complemented
146#16837500C2211yescharacteristic, complemented
147#16837487C2211yescharacteristic, complemented
148C4×D472C2211yescharacteristic, complemented
149#16837482C2211yescharacteristic, complemented
150#16837481C2211yescharacteristic, complemented
151#16837478C2211yescharacteristic, complemented
152#16837478C2211yescharacteristic, complemented
153#16837476C2211yescharacteristic, complemented
154#16837474C2211yescharacteristic, complemented
155#16837472C2211yescharacteristic, complemented
156#16837470C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837441C2211yescharacteristic, complemented
159#106×D59C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837411C2211yescharacteristic, complemented
162#16837408C2211yescharacteristic, complemented
163#16837408C2211yescharacteristic, complemented
164#16837406C2211yescharacteristic, complemented
165#16837405C2211yescharacteristic, complemented
166#16837405C2211yescharacteristic, complemented
167#16837405C2211yescharacteristic, complemented
168#16837402C2211yescharacteristic
169#16837402C2211yescharacteristic, complemented
170#16837402C2211yescharacteristic, complemented
171#16837402C2211yescharacteristic, complemented
172#16837402C2211yescharacteristic, complemented
173#16837402C2211yescharacteristic, complemented
174#16837402C2211yescharacteristic, complemented
175#16837398C2211yescharacteristic, complemented
176#16837397C2211yescharacteristic
177#16837397C2211yescharacteristic
178#16837397C2211yescharacteristic, complemented
179#16837397C2211yescharacteristic, complemented
180#16837397C2211yescharacteristic, complemented
181C2×#14273647C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187#16837356C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189C59×#548C2211yescharacteristic, complemented
190C59×#488C2211yescharacteristic, complemented
191C59×#483C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#419C2211yescharacteristic, complemented
202C59×#417C2211yescharacteristic, complemented
203#14273773—24no—
204#14273773—42no—
205C2×#11745689—21no—
206C2×#11745689—21no—
207C2×#11745689—24no—
208C2×#11745689—42no—
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745689C2311yescharacteristic
212C2×#11745689C2311yescharacteristic
213C2×#11745689C2311yescharacteristic
214C2×#11745685—21no—
215C2×#11745685—21no—
216C2×#11745685—21no—
217C2×#11745685C2311yescharacteristic
218C22×D236—21no—
219C22×D236—21no—
220C22×D236C2311yescharacteristic
221C22×D236C2311yescharacteristic
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59C2311yescharacteristic
229C2×D4×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C22×C4×D59—21no—
232C22×C4×D59C2311yescharacteristic
233#14273754—24no—
234#14273754—42no—
235C2×#11745671C2311yescharacteristic
236C2×#11745671C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×D472C2311yescharacteristic
239C2×D472C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244D8×D59—42no—
245#14273735—42no—
246C2×#11745664C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C2×#11745659C2311yescharacteristic
250C2×#11745659C2311yescharacteristic
251C2×#11745659C2311yescharacteristic
252M16×D59—42no—
253C22×C59⋊C8C2311yescharacteristic
254C2×C8×D59C2311yescharacteristic
255C2×C8×D59C2311yescharacteristic
256C2×C8×D59C2311yescharacteristic
257#14273727C2311yescharacteristic
258#14273726—21no—
259#14273726C2311yescharacteristic
260#14273724—21no—
261#14273724C2311yescharacteristic
262#14273723—21no—
263#14273723—21no—
264#14273723C2311yescharacteristic
265#14273722—21no—
266#14273721—21no—
267#14273720—21no—
268#14273718C2311yescharacteristic
269#14273717—21no—
270#14273716—21no—
271#14273716C2311yescharacteristic
272#14273714—21no—
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712D411yescharacteristic
281#14273710—21no—
282#14273709—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709D411yescharacteristic
287#14273708—21no—
288#14273707—21no—
289#14273706—21no—
290#14273705—21no—
291#14273705—21no—
292#14273705—21no—
293#14273705D411yescharacteristic
294#14273704D411yescharacteristic
295#14273703—21no—
296#14273703C2311yescharacteristic
297#14273702—21no—
298#14273702—21no—
299#14273702—21no—
300#14273702—21no—
301#14273702—21no—
302#14273702—21no—
303#14273702C2311yescharacteristic
304#14273702C2311yescharacteristic
305#14273702C2311yescharacteristic
306#14273702C2311yescharacteristic
307#14273701—21no—
308#14273701—21no—
309#14273701C2311yescharacteristic
310#14273701C2311yescharacteristic
311#14273701C2311yescharacteristic
312#14273701C2311yescharacteristic
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273700D411yescharacteristic
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699D411yescharacteristic
327#14273698—21no—
328#14273698—21no—
329#14273698—21no—
330#14273698C2311yescharacteristic
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273697—21no—
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273697—21no—
338#14273697—21no—
339#14273697—21no—
340#14273697—21no—
341#14273697D411yescharacteristic
342#14273695—21no—
343#14273695—21no—
344#14273695D411yescharacteristic
345Q8×Dic59C2311yescharacteristic
346#14273692—21no—
347C4×D236—21no—
348C4×D236—21no—
349C4×D236—21no—
350C4×D236C2311yescharacteristic
351C4×D236C2311yescharacteristic
352C4×D236C2311yescharacteristic
353D4×Dic59C2311yescharacteristic
354#14273689—21no—
355#14273689—21no—
356#14273689—21no—
357#14273689C2311yescharacteristic
358#14273689C2311yescharacteristic
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59—21no—
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59C2311yescharacteristic
365C4×C22⋊D59C2311yescharacteristic
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4—21no—
368#14273686C2311yescharacteristic
369#14273686C2311yescharacteristic
370#14273685—21no—
371#14273685C2311yescharacteristic
372#14273685C2311yescharacteristic
373#14273685C2311yescharacteristic
374#14273684—21no—
375#14273684—21no—
376#14273684C2311yescharacteristic
377#14273683—21no—
378#14273683—21no—
379C4⋊C4×D59—21no—
380C4⋊C4×D59C2311yescharacteristic
381C4⋊C4×D59C2311yescharacteristic
382C4⋊C4×D59C2311yescharacteristic
383C4⋊C4×D59C2311yescharacteristic
384C4⋊C4×D59C2311yescharacteristic
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—
392C42×D59—21no—
393#14273661C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273659C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
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#14273638C2311yescharacteristic
442#14273637C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C2×#41×C59C2311yescharacteristic
445C22×Q8×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C2×M16×C59C2311yescharacteristic
451#126×C59—21no—
452#125×C59C2311yescharacteristic
453#124×C59—21no—
454#124×C59C2311yescharacteristic
455#123×C59—21no—
456C22⋊Q8×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458#121×C59—21no—
459#121×C59—21no—
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×D4×C59—21no—
465C4×D4×C59—21no—
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59C2311yescharacteristic
469C2×C4⋊C4×C59C2311yescharacteristic
470#107×C59C2311yescharacteristic
471#106×C59C2311yescharacteristic
472#106×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486C4×C8×C59C2311yescharacteristic
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59—21no—
491C23×D59—21no—
492C23×D59C2×D411yescharacteristic
493#41×C59—22no—
494#41×C59—41no—
495C2×Q8×C59—21no—
496C2×Q8×C59—22no—
497C2×Q8×C59—41no—
498C2×Q8×C59C2411yescharacteristic
499C2×Q8×C59C2411yescharacteristic
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59C2×D411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59C2411yescharacteristic
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⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59C2×D411yescharacteristic
526C2×C22⋊D59C2×D411yescharacteristic
527C2×C22⋊D59C2×D411yescharacteristic
528C2×C22⋊D59C2×D411yescharacteristic
529C22×Dic59—21no—
530C22×Dic59C2×D411yescharacteristic
531#11745689—22no—
532#11745689—22no—
533#11745689—22no—
534#11745689—22no—
535#11745689—22no—
536#11745689—22no—
537#11745689—44no—
538#11745689—41no—
539#11745689—41no—
540#11745689—41no—
541#11745689—44no—
542#11745689#4114yescomplemented
543D4×D59—22no—
544D4×D59—22no—
545D4×D59—22no—
546D4×D59—22no—
547D4×D59—22no—
548D4×D59—41no—
549D4×D59—44no—
550D4×D59—44no—
551D4×D59—82no—
552D4×D59—82no—
553D4×D59—82no—
554D4×D59—82no—
555#11745685—22no—
556#11745685—22no—
557#11745685—44no—
558#11745685—82no—
559#11745685—82no—
560C2×D236—21no—
561C2×D236—22no—
562C2×D236—22no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—21no—
566C2×D236—21no—
567C2×D236—21no—
568C2×D236—21no—
569C2×D236—21no—
570C2×D236—21no—
571C2×D236—21no—
572C2×D236—21no—
573C2×D236—21no—
574C2×D236—21no—
575C2×D236—41no—
576C2×D236—41no—
577C2×D236—44no—
578C2×D236—44no—
579C2×D236C2×D411yescharacteristic
580C2×D236C2×D411yescharacteristic
581C2×D236C2411yescharacteristic
582C2×D236C2411yescharacteristic
583C2×D236C2411yescharacteristic
584C2×D236C2411yescharacteristic
585C2×C4×D59—21no—
586C2×C4×D59—22no—
587C2×C4×D59—22no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—21no—
598C2×C4×D59—21no—
599C2×C4×D59—21no—
600C2×C4×D59—21no—
601C2×C4×D59—44no—
602C2×C4×D59C2×D411yescharacteristic
603C2×C4×D59C2×D411yescharacteristic
604C2×C4×D59C2411yescharacteristic
605C2×C4×D59C2411yescharacteristic
606C2×C4×D59C2411yescharacteristic
607C2×Dic118—21no—
608C2×Dic118—21no—
609C2×Dic118C2×D411yescharacteristic
610SD16×C59—22no—
611SD16×C59—41no—
612D8×C59—41no—
613M16×C59—41no—
614M16×C59—41no—
615C2×C8×C59C2411yescharacteristic
616C2×C8×C59C2411yescharacteristic
617C2×C8×C59C2411yescharacteristic
618C2×C8×C59C2411yescharacteristic
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×C59C2411yescharacteristic
626C4⋊C4×C59C2411yescharacteristic
627C4⋊C4×C59C2411yescharacteristic
628C4⋊C4×C59C2411yescharacteristic
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×C59—21no—
641C42×C59C2411yescharacteristic
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59C2×D411yescharacteristic
649C22⋊Dic59C2×D411yescharacteristic
650#11745671—22no—
651#11745671—41no—
652#11745669—22no—
653#11745669—41no—
654#11745669—41no—
655#11745669—41no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
675(C2×D59)⋊C4C2×D411yescharacteristic
676(C2×D59)⋊C4C2×D411yescharacteristic
677(C2×D59)⋊C4C2×D411yescharacteristic
678(C2×D59)⋊C4C2×D411yescharacteristic
679(C2×D59)⋊C4C2×D411yescharacteristic
680C4⋊Dic59—21no—
681C4⋊Dic59—21no—
682C4⋊Dic59—21no—
683C4⋊Dic59C2×D411yescharacteristic
684C4⋊Dic59C2411yescharacteristic
685C4⋊Dic59C2411yescharacteristic
686C4⋊Dic59C2411yescharacteristic
687C4⋊Dic59C2411yescharacteristic
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4—21no—
694Dic59⋊C4—21no—
695Dic59⋊C4—21no—
696Dic59⋊C4C2×D411yescharacteristic
697Dic59⋊C4C2×D411yescharacteristic
698Dic59⋊C4C2×D411yescharacteristic
699Dic59⋊C4C2×D411yescharacteristic
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59—21no—
704C4×Dic59—21no—
705C4×Dic59—21no—
706C4×Dic59C2411yescharacteristic
707#11745664—41no—
708C2×C59⋊C8—41no—
709C2×C59⋊C8C2411yescharacteristic
710C2×C59⋊C8C2411yescharacteristic
711C2×C59⋊C8C2411yescharacteristic
712C2×C59⋊C8C2411yescharacteristic
713D472—22no—
714D472—41no—
715D472—41no—
716#11745659—22no—
717#11745659—22no—
718#11745659—41no—
719#11745659—41no—
720#11745659—41no—
721C8×D59—22no—
722C8×D59—22no—
723C8×D59—41no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59C22×D411yescharacteristic
727C23×C59C22×D411yescharacteristic
728C22×D59—21no—
729C22×D59—22no—
730C22×D59—21no—
731C22×D59—21no—
732C22×D59—21no—
733C22×D59—41no—
734C22×D59—41no—
735C22×D59—42no—
736C22×D59—42no—
737C22×D59—42no—
738C22×D59—42no—
739C22×D59—42no—
740C22×D59—42no—
741C22×D59—81no—
742C22×D59—81no—
743C22×D59—81no—
744C22×D59—81no—
745C22×D59—81no—
746C22×D59—81no—
747C22×D59—81no—
748C22×D59—81no—
749C22×D59—81no—
750C22×D59C22×D411yescharacteristic
751C22×D59C22×D411yescharacteristic
752C22×D59C22×D411yescharacteristic
753Q8×C59—21no—
754Q8×C59—21no—
755Q8×C59—21no—
756Q8×C59—42no—
757Q8×C59C2×#4112yes—
758D4×C59—21no—
759D4×C59—21no—
760D4×C59—21no—
761D4×C59—21no—
762D4×C59—41no—
763D4×C59—42no—
764D4×C59—42no—
765D4×C59—81no—
766D4×C59—81no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—21no—
774C2×C4×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—42no—
778C2×C4×C59—42no—
779C2×C4×C59—81no—
780C2×C4×C59—81no—
781C2×C4×C59C22×D411yescharacteristic
782C2×C4×C59C22×D411yescharacteristic
783C2×C4×C59C22×D411yescharacteristic
784C2×C4×C59C22×D411yescharacteristic
785C2×C4×C59C2511yescharacteristic
786C22⋊D59—22no—
787C22⋊D59—22no—
788C22⋊D59—41no—
789C22⋊D59—41no—
790C22⋊D59—42no—
791C22⋊D59—42no—
792C22⋊D59—42no—
793C22⋊D59—42no—
794C22⋊D59—42no—
795C22⋊D59—81no—
796C22⋊D59—81no—
797C22⋊D59—81no—
798C22⋊D59—81no—
799C22⋊D59—81no—
800C22⋊D59—81no—
801C22⋊D59—81no—
802C2×Dic59—22no—
803C2×Dic59—21no—
804C2×Dic59—21no—
805C2×Dic59—21no—
806C2×Dic59—21no—
807C2×Dic59—81no—
808C2×Dic59C22×D411yescharacteristic
809C2×Dic59C22×D411yescharacteristic
810C2×Dic59C22×D411yescharacteristic
811C2×Dic59C22×D411yescharacteristic
812C2×Dic59C22×D411yescharacteristic
813D236—24no—
814D236—22no—
815D236—21no—
816D236—21no—
817D236—21no—
818D236—21no—
819D236—21no—
820D236—21no—
821D236—21no—
822D236—41no—
823D236—42no—
824D236—42no—
825D236—42no—
826D236—42no—
827D236—42no—
828D236—42no—
829D236—42no—
830D236—81no—
831D236—81no—
832D236—81no—
833D236—81no—
834D236—81no—
835D236C2×#4112yes—
836C4×D59—22no—
837C4×D59—21no—
838C4×D59—21no—
839C4×D59—21no—
840C4×D59—21no—
841C4×D59—22no—
842C4×D59—24no—
843C4×D59—42no—
844C4×D59—42no—
845C4×D59—42no—
846C4×D59—42no—
847C4×D59—42no—
848C4×D59—81no—
849C4×D59—81no—
850C4×D59—81no—
851C4×D59—81no—
852C4×D59—81no—
853C4×D59—81no—
854C4×D59—81no—
855C4×D59—81no—
856C4×D59C2×#4112yes—
857C4×D59H(5,𝔽2)12yes—
858Dic118—22no—
859Dic118—81no—
860Dic118—81no—
861C8×C59—21no—
862C8×C59—21no—
863C8×C59—21no—
864C8×C59—21no—
865C59⋊C8—21no—
866C59⋊C8—21no—
867C59⋊C8—21no—
868C59⋊C8—21no—
869#61179—591nomaximal, Sylow
870C22×C59—21no—
871C22×C59—21no—
872C22×C59—21no—
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—22no—
891C2×D59—21no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—41no—
896C2×D59—41no—
897C2×D59—41no—
898C2×D59—41no—
899C2×D59—41no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—82no—
904C2×D59—84no—
905C2×D59—162no—
906C2×D59—162no—
907C2×D59—162no—
908C2×D59—162no—
909C2×D59#54612yes—
910C4×C59—21no—
911C4×C59—21no—
912C4×C59—21no—
913C4×C59—21no—
914C4×C59—22no—
915C4×C59—41no—
916C4×C59—41no—
917C4×C59—41no—
918C4×C59—41no—
919C4×C59—41no—
920C4×C59C22×#4111yescharacteristic
921C4×C59C2×H(5,𝔽2)11yescharacteristic
922Dic59—21no—
923Dic59—21no—
924Dic59—21no—
925Dic59—21no—
926Dic59—41no—
927Dic59—41no—
928Dic59—41no—
929Dic59—41no—
930Dic59#54612yes—
931#3494—591no—
932#3488—591no—
933#3332—591no—
934#3332—591no—
935#3326—591no—
936#3326D5911yescharacteristic, complemented
937#3325—591no—
938#3325—591no—
939#3322—591no—
940#3322—591no—
941#3321—591no—
942#3321—591no—
943#3318—591no—
944#3318—591no—
945#3309—591no—
946#3309—591no—
947#3306—591no—
948#3306—591no—
949#3136—591no—
950#3099—591no—
951#3094—591no—
952#3084—591no—
953#3062—591no—
954C2×#469—591no—
955#3041—591no—
956#3008—591no—
957#3006—591no—
958#2946—591no—
959#2930—591no—
960#2897—591no—
961#2896—591no—
962C2×C59—41no—
963C2×C59—41no—
964C2×C59—81no—
965C2×C59—81no—
966C2×C59C2×#54611yescharacteristic
967C2×C59#358511yescharacteristic
968C2×C59#358511yescharacteristic
969D59—22no—
970D59—41no—
971D59—41no—
972D59—42no—
973D59—81no—
974D59—81no—
975D59—81no—
976C2×H(5,𝔽2)—591no—
977C22×#41—591no—
978C2×AGL(1,ℤ/8)—591no—
979C2×AGL(1,ℤ/8)—591no—
980C22×D8—591no—
981C2×#131—591no—
982C22×M16—591no—
983#555—591no—
984#555—591no—
985#553—591no—
986#553—591no—
987#553—591no—
988#553C2×D5911yescharacteristic, complemented
989#551—1181no—
990#551—1181no—
991#550—591no—
992#550—591no—
993#548—591no—
994#548C2×D5911yescharacteristic, complemented
995#547—591no—
996#547—591no—
997#546—591no—
998#546—591no—
999#546—1181no—
1000#546—1181no—
1001#546—1181no—
1002#546—1181no—
1003D42—591no—
1004D42—591no—
1005D42—1181no—
1006D42—1181no—
1007#544—591no—
1008#542—1181no—
1009#540—1181no—
1010#537—591no—
1011#537—1181no—
1012#535—591no—
1013#535—591no—
1014#535—1181no—
1015#532—1181no—
1016#529—1181no—
1017#525—591no—
1018#525—1181no—
1019C2×#121—591no—
1020C2×#121—591no—
1021C2×#121—1181no—
1022#520—591no—
1023#520—591no—
1024#518—591no—
1025C2×#117—591no—
1026#490—591no—
1027#490—591no—
1028#489—591no—
1029#489—591no—
1030#488—591no—
1031#488C2×D5911yescharacteristic, complemented
1032#486—591no—
1033#486—591no—
1034#485—591no—
1035#485—591no—
1036#483—591no—
1037#483C2×D5911yescharacteristic, complemented
1038#482—591no—
1039#482—591no—
1040#482—591no—
1041#482—591no—
1042#482—591no—
1043#482C2×D5911yescharacteristic, complemented
1044#481—591no—
1045#481—591no—
1046#481—591no—
1047#481—591no—
1048#480—591no—
1049#480—591no—
1050#479—591no—
1051#479C2×D5911yescharacteristic, complemented
1052#478—591no—
1053#478—591no—
1054#476—591no—
1055#476—591no—
1056#475—591no—
1057#475—591no—
1058#469—591no—
1059#469—591no—
1060#469—591no—
1061#469—591no—
1062#469—591no—
1063#469—591no—
1064#469—591no—
1065#469—591no—
1066#469—591no—
1067#469C2×D5911yescharacteristic, complemented
1068#468—591no—
1069#468C2×D5911yescharacteristic, complemented
1070#466—591no—
1071#466—591no—
1072#465—591no—
1073#465—591no—
1074#463—591no—
1075#463—591no—
1076#463—591no—
1077#463C2×D5911yescharacteristic, complemented
1078#459—591no—
1079#459—591no—
1080#459—591no—
1081#459—591no—
1082#449—591no—
1083#449—591no—
1084#449—591no—
1085#449—591no—
1086#449—591no—
1087#449—591no—
1088#449—591no—
1089#449C2×D5911yescharacteristic, complemented
1090#448—591no—
1091#448C2×D5911yescharacteristic, complemented
1092#447—591no—
1093#447—591no—
1094#447—591no—
1095#447—591no—
1096#447—591no—
1097#447—591no—
1098#442—591no—
1099#442—591no—
1100#440—591no—
1101#440—591no—
1102C4×SD16—591no—
1103C4×SD16C2×D5911yescharacteristic, complemented
1104C4×D8—591no—
1105C4×D8—591no—
1106#436—591no—
1107#436—591no—
1108#436—591no—
1109#436C2×D5911yescharacteristic, complemented
1110#435—591no—
1111#435—591no—
1112#435—591no—
1113#435—591no—
1114#428—591no—
1115#428—591no—
1116C2×#106—591no—
1117#424—591no—
1118#419—591no—
1119#419C2×D5911yescharacteristic, complemented
1120#418—591no—
1121#418—591no—
1122#418—591no—
1123#418—591no—
1124#418—591no—
1125#418—591no—
1126#417—591no—
1127#417—591no—
1128#417—591no—
1129#417—591no—
1130#417—591no—
1131#417—591no—
1132#417—591no—
1133#417C2×D5911yescharacteristic, complemented
1134#416—591no—
1135#416—591no—
1136#416—591no—
1137#416—591no—
1138#416—591no—
1139#416—591no—
1140C2×#102—591no—
1141C2×#102—591no—
1142C2×#102—591no—
1143C2×#102—591no—
1144#408—591no—
1145#407—591no—
1146#405—591no—
1147C59#6117911yescharacteristic, complemented, Sylow
1148H(5,𝔽2)—1184no—
1149H(5,𝔽2)—2362no—
1150C2×#41—591no—
1151C2×#41—591no—
1152C2×#41—591no—
1153C2×#41—591no—
1154C2×#41—591no—
1155C2×#41—591no—
1156C2×#41—1181no—
1157C2×#41—1181no—
1158C2×#41—1181no—
1159C2×#41—1181no—
1160C2×#41—1181no—
1161C2×#41—1184no—
1162C2×#41—2362no—
1163C2×#41C22×D5911yescharacteristic
1164C22×Q8C22×D5911yescharacteristic
1165C22×D4—591no—
1166C22×D4—591no—
1167C22×D4—591no—
1168C22×D4—591no—
1169C22×D4—591no—
1170C22×D4—1181no—
1171C22×D4—1181no—
1172C22×D4—1181no—
1173C22×D4—1181no—
1174C22×D4—1181no—
1175C22×D4—1181no—
1176C22×D4—1181no—
1177C22×D4—1181no—
1178C23×C4—591no—
1179C23×C4—1181no—
1180AGL(1,ℤ/8)—1184no—
1181AGL(1,ℤ/8)—2362no—
1182C2×SD16—591no—
1183C2×SD16—591no—
1184C2×SD16C22×D5911yescharacteristic
1185C2×SD16C22×D5911yescharacteristic
1186C2×D8—591no—
1187C2×D8—591no—
1188C2×D8—591no—
1189C2×D8—591no—
1190C2×D8—591no—
1191C2×D8—591no—
1192C2×D8—591no—
1193C2×D8—2362no—
1194C2×D8C22×D5911yescharacteristic
1195#131—2362no—
1196C2×M16—591no—
1197C2×M16—591no—
1198C2×M16—591no—
1199C2×M16—591no—
1200C2×M16—591no—
1201C2×M16—591no—
1202C2×M16—2362no—
1203C2×M16C22×D5911yescharacteristic
1204C2×M16C22×D5911yescharacteristic
1205C22×C8—591no—
1206C22×C8—591no—
1207C22×C8—591no—
1208C22×C8—591no—
1209C4⋊Q8—591no—
1210C4⋊Q8—591no—
1211C4⋊Q8—1181no—
1212#127—591no—
1213#127—591no—
1214#127—1181no—
1215#127—1181no—
1216#127—1181no—
1217#126—21no—
1218#126—1181no—
1219#126—1181no—
1220#126—1181no—
1221#125—591no—
1222#125—1181no—
1223#125C22×D5911yescharacteristic
1224#124—21no—
1225#124—591no—
1226#124—1181no—
1227#124—1181no—
1228#124—1181no—
1229#124—1181no—
1230#124—1181no—
1231#124—1181no—
1232#124C22×D5911yescharacteristic
1233#123—21no—
1234#123—591no—
1235#123—591no—
1236#123—1181no—
1237#123—1181no—
1238#123—1181no—
1239#123—1181no—
1240#123—1181no—
1241#123—1181no—
1242#123—1181no—
1243#123—1181no—
1244#123—1181no—
1245C22⋊Q8—21no—
1246C22⋊Q8—591no—
1247C22⋊Q8—591no—
1248C22⋊Q8—591no—
1249C22⋊Q8—1181no—
1250C22⋊Q8—1181no—
1251C22⋊Q8—1181no—
1252C22⋊Q8—1181no—
1253C22⋊Q8—1181no—
1254C22⋊Q8—1181no—
1255C22⋊Q8C22×D5911yescharacteristic
1256#121—21no—
1257#121—21no—
1258#121—591no—
1259#121—591no—
1260#121—591no—
1261#121—591no—
1262#121—591no—
1263#121—591no—
1264#121—591no—
1265#121—591no—
1266#121—591no—
1267#121—591no—
1268#121—591no—
1269#121—591no—
1270#121—591no—
1271#121—1181no—
1272#121—1181no—
1273#121—1181no—
1274#121—1181no—
1275#121—1181no—
1276#121—1181no—
1277#121—1181no—
1278#121—1181no—
1279#121—1181no—
1280#121—1181no—
1281#121—1181no—
1282#121—1181no—
1283#121—1181no—
1284#121—1181no—
1285#121—1181no—
1286#121—1181no—
1287#121—1181no—
1288#121—1181no—
1289#121—1181no—
1290#121—1181no—
1291#121—1181no—
1292#121—1181no—
1293#121—1181no—
1294#121C22×D5911yescharacteristic
1295#121C22×D5911yescharacteristic
1296#121C22×D5911yescharacteristic
1297#120—591no—
1298#120—591no—
1299#120—1181no—
1300#120—1181no—
1301#120—1181no—
1302#120—1181no—
1303#120—1181no—
1304#120—1181no—
1305#120—1181no—
1306#120—1181no—
1307#120—1181no—
1308#120—1181no—
1309C4×Q8—591no—
1310C4×Q8—1181no—
1311C4×Q8C22×D5911yescharacteristic
1312C4×D4—21no—
1313C4×D4—21no—
1314C4×D4—591no—
1315C4×D4—591no—
1316C4×D4—591no—
1317C4×D4—591no—
1318C4×D4—591no—
1319C4×D4—591no—
1320C4×D4—591no—
1321C4×D4—591no—
1322C4×D4—1181no—
1323C4×D4—1181no—
1324C4×D4—1181no—
1325C4×D4—1181no—
1326C4×D4—1181no—
1327C4×D4—1181no—
1328C4×D4—1181no—
1329C4×D4—1181no—
1330C4×D4—1181no—
1331C4×D4—1181no—
1332C4×D4—1181no—
1333C4×D4—1181no—
1334C4×D4—1181no—
1335C4×D4C22×D5911yescharacteristic
1336C4×D4C22×D5911yescharacteristic
1337#117—591no—
1338#117—591no—
1339#117—591no—
1340#117—591no—
1341#117—591no—
1342#117—591no—
1343#117—1181no—
1344#117—1181no—
1345#117—1181no—
1346#117—1181no—
1347#117—1181no—
1348#117C22×D5911yescharacteristic
1349C2×C4⋊C4—591no—
1350C2×C4⋊C4—591no—
1351C2×C4⋊C4—591no—
1352C2×C4⋊C4—591no—
1353C2×C4⋊C4—591no—
1354C2×C4⋊C4—1181no—
1355C2×C4⋊C4C22×D5911yescharacteristic
1356C2×C22⋊C4—1181no—
1357C2×C22⋊C4—1181no—
1358C2×C22⋊C4—1181no—
1359C2×C22⋊C4—1181no—
1360C2×C22⋊C4—1181no—
1361C2×C22⋊C4—1181no—
1362C2×C22⋊C4—1181no—
1363C2×C42—1181no—
1364#107—591no—
1365#107—591no—
1366#107—591no—
1367#107C22×D5911yescharacteristic
1368#106—591no—
1369#106—591no—
1370#106—591no—
1371#106—591no—
1372#106—591no—
1373#106—591no—
1374#106C22×D5911yescharacteristic
1375#106C22×D5911yescharacteristic
1376C4⋊C8—591no—
1377C4⋊C8—591no—
1378C4⋊C8—591no—
1379C4⋊C8C22×D5911yescharacteristic
1380#103—591no—
1381#103—591no—
1382#103—591no—
1383#103—591no—
1384#103—591no—
1385#103—591no—
1386#103C22×D5911yescharacteristic
1387#103C22×D5911yescharacteristic
1388#103C22×D5911yescharacteristic
1389#103C22×D5911yescharacteristic
1390#103C22×D5911yescharacteristic
1391#103C22×D5911yescharacteristic
1392#102—591no—
1393#102—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
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
1418#102C22×D5911yescharacteristic
1419#102C22×D5911yescharacteristic
1420C22⋊C8—591no—
1421C22⋊C8—591no—
1422C22⋊C8—591no—
1423C22⋊C8—591no—
1424C22⋊C8—591no—
1425C22⋊C8—591no—
1426C22⋊C8C22×D5911yescharacteristic
1427C22⋊C8C22×D5911yescharacteristic
1428#97—591no—
1429#97—591no—
1430C4×C8—591no—
1431C4×C8C22×D5911yescharacteristic
1432C24—591no—
1433C24—1181no—
1434C24—1181no—
1435C24—1181no—
1436C24—1181no—
1437C24—1181no—
1438#41—22no—
1439#41—41no—
1440#41—594no—
1441#41—1182no—
1442#41—1182no—
1443#41—1182no—
1444#41—1182no—
1445#41—1182no—
1446#41—1182no—
1447#41—1182no—
1448#41—1182no—
1449#41—4722no—
1450#41—4722no—
1451#41—2364no—
1452#41—2364no—
1453#41—2361no—
1454#41—2361no—
1455#41—2361no—
1456#41—2364no—
1457C2×Q8—21no—
1458C2×Q8—22no—
1459C2×Q8—41no—
1460C2×Q8—591no—
1461C2×Q8—1181no—
1462C2×Q8—1181no—
1463C2×Q8C23×D5911yescharacteristic
1464C2×Q8C23×D5911yescharacteristic
1465C2×D4—21no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—591no—
1470C2×D4—591no—
1471C2×D4—591no—
1472C2×D4—591no—
1473C2×D4—591no—
1474C2×D4—591no—
1475C2×D4—591no—
1476C2×D4—591no—
1477C2×D4—591no—
1478C2×D4—591no—
1479C2×D4—1182no—
1480C2×D4—1182no—
1481C2×D4—1181no—
1482C2×D4—1181no—
1483C2×D4—1181no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—1181no—
1490C2×D4—1182no—
1491C2×D4—1182no—
1492C2×D4—1182no—
1493C2×D4—1182no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1182no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—4722no—
1512C2×D4—4722no—
1513C2×D4—4722no—
1514C2×D4—4722no—
1515C2×D4—2361no—
1516C2×D4—2361no—
1517C2×D4—2364no—
1518C2×D4—2364no—
1519C2×D4—2361no—
1520C2×D4—2364no—
1521C2×D4—2364no—
1522C2×D4D4×D5911yescharacteristic
1523C2×D4C23×D5911yescharacteristic
1524C2×D4C23×D5911yescharacteristic
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—591no—
1530C22×C4—591no—
1531C22×C4—591no—
1532C22×C4—591no—
1533C22×C4—591no—
1534C22×C4—591no—
1535C22×C4—1181no—
1536C22×C4—1182no—
1537C22×C4—1182no—
1538C22×C4—1181no—
1539C22×C4—1181no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—1181no—
1549C22×C4—1181no—
1550C22×C4—1181no—
1551C22×C4—1181no—
1552C22×C4—2364no—
1553C22×C4C23×D5911yescharacteristic
1554C22×C4C23×D5911yescharacteristic
1555SD16—22no—
1556SD16—41no—
1557SD16—1182no—
1558SD16—2361no—
1559D8—41no—
1560D8—1182no—
1561D8—1182no—
1562D8—2361no—
1563D8—2361no—
1564D8—2361no—
1565D8—2361no—
1566D8—2361no—
1567M16—41no—
1568M16—41no—
1569M16—1182no—
1570M16—1182no—
1571M16—2361no—
1572M16—2361no—
1573M16—2361no—
1574M16—2361no—
1575C2×C8—591no—
1576C2×C8—591no—
1577C2×C8—591no—
1578C2×C8—591no—
1579C2×C8—1182no—
1580C2×C8—1182no—
1581C2×C8—2361no—
1582C2×C8—2361no—
1583C2×C8C23×D5911yescharacteristic
1584C2×C8C23×D5911yescharacteristic
1585C2×C8C23×D5911yescharacteristic
1586C2×C8C23×D5911yescharacteristic
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—591no—
1593C4⋊C4—591no—
1594C4⋊C4—591no—
1595C4⋊C4—591no—
1596C4⋊C4—591no—
1597C4⋊C4—591no—
1598C4⋊C4—591no—
1599C4⋊C4—591no—
1600C4⋊C4—591no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1613C4⋊C4C23×D5911yescharacteristic
1614C4⋊C4C23×D5911yescharacteristic
1615C4⋊C4C23×D5911yescharacteristic
1616C4⋊C4C23×D5911yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—591no—
1626C22⋊C4—591no—
1627C22⋊C4—591no—
1628C22⋊C4—591no—
1629C22⋊C4—591no—
1630C22⋊C4—591no—
1631C22⋊C4—591no—
1632C22⋊C4—591no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1658C22⋊C4D4×D5911yescharacteristic
1659C42—21no—
1660C42—21no—
1661C42—591no—
1662C42—1181no—
1663C42—1181no—
1664C42—1181no—
1665C42—1181no—
1666C42—1181no—
1667C42—1181no—
1668C42C23×D5911yescharacteristic
1669C23—21no—
1670C23—21no—
1671C23—591no—
1672C23—591no—
1673C23—591no—
1674C23—1182no—
1675C23—1181no—
1676C23—1181no—
1677C23—1181no—
1678C23—1181no—
1679C23—4721no—
1680C23—4721no—
1681C23—4721no—
1682C23—4721no—
1683C23—4721no—
1684C23—4721no—
1685C23—4721no—
1686C23—4721no—
1687C23—4721no—
1688C23—2361no—
1689C23—2361no—
1690C23—2362no—
1691C23—2362no—
1692C23—2362no—
1693C23—2362no—
1694C23—2362no—
1695C23—2362no—
1696C23C2×D4×D5911yescharacteristic
1697C23C2×D4×D5911yescharacteristic
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—42no—
1702Q8—1182no—
1703Q8—4721no—
1704Q8—4721no—
1705Q8#41×D5912yes—
1706D4—21no—
1707D4—21no—
1708D4—21no—
1709D4—21no—
1710D4—41no—
1711D4—42no—
1712D4—42no—
1713D4—81no—
1714D4—81no—
1715D4—592no—
1716D4—1182no—
1717D4—1184no—
1718D4—1182no—
1719D4—1182no—
1720D4—1181no—
1721D4—1181no—
1722D4—1181no—
1723D4—1181no—
1724D4—1181no—
1725D4—1181no—
1726D4—1181no—
1727D4—4721no—
1728D4—4721no—
1729D4—4721no—
1730D4—4721no—
1731D4—4721no—
1732D4—4721no—
1733D4—4721no—
1734D4—4721no—
1735D4—4721no—
1736D4—4721no—
1737D4—4721no—
1738D4—4721no—
1739D4—2361no—
1740D4—2362no—
1741D4—2362no—
1742D4—2362no—
1743D4—2362no—
1744D4—2362no—
1745D4—2362no—
1746D4—2362no—
1747D4—2362no—
1748D4—2362no—
1749D4—2361no—
1750D4—2361no—
1751D4—2362no—
1752D4—2362no—
1753D4—2362no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—42no—
1765C2×C4—42no—
1766C2×C4—81no—
1767C2×C4—81no—
1768C2×C4—591no—
1769C2×C4—592no—
1770C2×C4—592no—
1771C2×C4—591no—
1772C2×C4—591no—
1773C2×C4—591no—
1774C2×C4—591no—
1775C2×C4—1182no—
1776C2×C4—1184no—
1777C2×C4—1182no—
1778C2×C4—1182no—
1779C2×C4—1181no—
1780C2×C4—1181no—
1781C2×C4—1181no—
1782C2×C4—1181no—
1783C2×C4—1181no—
1784C2×C4—1181no—
1785C2×C4—1181no—
1786C2×C4—1181no—
1787C2×C4—4721no—
1788C2×C4—4721no—
1789C2×C4—4721no—
1790C2×C4—4721no—
1791C2×C4—4721no—
1792C2×C4—4721no—
1793C2×C4—4721no—
1794C2×C4—4721no—
1795C2×C4—4721no—
1796C2×C4—2362no—
1797C2×C4—2362no—
1798C2×C4—2362no—
1799C2×C4—2362no—
1800C2×C4—2362no—
1801C2×C4C2×D4×D5911yescharacteristic
1802C2×C4C2×D4×D5911yescharacteristic
1803C2×C4C2×D4×D5911yescharacteristic
1804C2×C4C2×D4×D5911yescharacteristic
1805C2×C4C24×D5911yescharacteristic
1806C8—21no—
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—1181no—
1811C8—1181no—
1812C8—1181no—
1813C8—1181no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—592no—
1827C22—1181no—
1828C22—1181no—
1829C22—1181no—
1830C22—1182no—
1831C22—1181no—
1832C22—1181no—
1833C22—1181no—
1834C22—1181no—
1835C22—1181no—
1836C22—9442no—
1837C22—9442no—
1838C22—9442no—
1839C22—9442no—
1840C22—4722no—
1841C22—4724no—
1842C22—2361no—
1843C22—2361no—
1844C22—2361no—
1845C22—2361no—
1846C22—2361no—
1847C22—2361no—
1848C22—2361no—
1849C22—2361no—
1850C22—2361no—
1851C22—2361no—
1852C22—2361no—
1853C22C22×D4×D5911yescharacteristic
1854C4—21no—
1855C4—21no—
1856C4—22no—
1857C4—21no—
1858C4—21no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—41no—
1864C4—592no—
1865C4—1181no—
1866C4—1181no—
1867C4—1181no—
1868C4—1181no—
1869C4—2361no—
1870C4—2361no—
1871C4—2361no—
1872C4—2361no—
1873C4C2×#41×D5911yescharacteristic
1874C4H(5,𝔽2)×D5911yescharacteristic
1875C2—41no—
1876C2—41no—
1877C2—81no—
1878C2—81no—
1879C2—1182no—
1880C2—4721no—
1881C2—4721no—
1882C2—4721no—
1883C2—2361no—
1884C2—2361no—
1885C2—2362no—
1886C2#546×D5911yescharacteristic
1887C2#2143887311yescharacteristic
1888C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3326C2
socleC22×C59C23×D4
hypercenter#3326D59
hypocenterC59#61179
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3326

Complements

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

NH ≅ G/Ntype
1. #21437824C2semidirect
2. #21437762C2semidirect
3. #21436425C2semidirect
4. #21436419C2semidirect
5. #21436345C2semidirect
6. #21436339C2semidirect
7. #21436333C2semidirect
8. #21436303C2semidirect
9. #21436296C2semidirect
10. #21436282C2semidirect
11. #21436275C2semidirect
12. #21436240C2semidirect
13. #21436231C2semidirect
14. #21436106C2semidirect
15. #21436099C2semidirect
16. #21436064C2semidirect
17. #21436055C2semidirect
18. #21434449C2semidirect
19. #21434080C2semidirect
20. #21434035C2semidirect
21. #21433961C2semidirect
22. #21433771C2semidirect
23. #469×D59C2semidirect
24. #21433597C2semidirect
25. #21433361C2semidirect
26. #21433347C2semidirect
27. #21432923C2semidirect
28. #21432796C2semidirect
29. #21432620C2semidirect
30. #21432614C2semidirect
31. C59×#3326C2semidirect
35. C2×#14273754C22semidirect
36. C2×D8×D59C22semidirect
37. C2×#14273735C22semidirect
38. C2×M16×D59C22semidirect
39. #16838117C22semidirect
40. #16838116C22semidirect
41. #16838105C22semidirect
42. #16838099C22semidirect
43. #16838096C22semidirect
46. #16838074C22semidirect
47. #16838071C22semidirect
48. #16838063C22semidirect
49. #16838057C22semidirect
50. #16838053C22semidirect
53. #16838045C22semidirect
56. #16838043C22semidirect
58. D4×D236C22semidirect
60. #16838036C22semidirect
61. #16838032C22semidirect
68. #16837968C22semidirect
75. #121×D59C22semidirect
77. #16837883C22semidirect
78. #16837874C22semidirect
79. #117×D59C22semidirect
80. #16837768C22semidirect
81. #16837765C22semidirect
82. #16837763C22semidirect
83. #16837761C22semidirect
84. #16837758C22semidirect
85. #16837749C22semidirect
86. #16837747C22semidirect
87. #16837742C22semidirect
88. #16837740C22semidirect
89. #16837731C22semidirect
90. #16837728C22semidirect
91. #16837727C22semidirect
92. #16837727C22semidirect
93. #16837726C22semidirect
94. #16837723C22semidirect
95. #16837722C22semidirect
96. #16837722C22semidirect
97. #16837720C22semidirect
98. #16837719C22semidirect
99. #16837717C22semidirect
100. #16837714C22semidirect
101. #16837707C22semidirect
102. #16837705C22semidirect
103. #16837699C22semidirect
104. #16837693C22semidirect
105. #16837691C22semidirect
106. #16837687C22semidirect
107. #16837685C22semidirect
108. #16837656C22semidirect
109. #16837655C22semidirect
110. #16837655C22semidirect
111. #16837654C22semidirect
112. #16837654C22semidirect
113. #16837654C22semidirect
114. #16837653C22semidirect
115. #16837653C22semidirect
116. #16837652C22semidirect
117. #16837651C22semidirect
118. #16837639C22semidirect
119. #16837636C22semidirect
120. #16837633C22semidirect
121. #16837628C22semidirect
122. #16837620C22semidirect
123. #16837619C22semidirect
124. #16837614C22semidirect
125. #16837598C22semidirect
126. #16837597C22semidirect
127. #16837596C22semidirect
128. #16837595C22semidirect
129. #16837550C22semidirect
130. #16837550C22semidirect
131. #16837550C22semidirect
132. #16837547C22semidirect
133. #16837546C22semidirect
134. #16837546C22semidirect
135. #16837546C22semidirect
136. #16837541C22semidirect
137. #16837538C22semidirect
138. #16837538C22semidirect
139. #16837537C22semidirect
140. #16837535C22semidirect
141. #16837535C22semidirect
142. #16837534C22semidirect
143. #16837513C22semidirect
144. #16837512C22semidirect
145. #16837503C22semidirect
146. #16837500C22semidirect
147. #16837487C22semidirect
148. C4×D472C22semidirect
149. #16837482C22semidirect
150. #16837481C22semidirect
151. #16837478C22semidirect
152. #16837478C22semidirect
153. #16837476C22semidirect
154. #16837474C22semidirect
155. #16837472C22semidirect
156. #16837470C22semidirect
157. #16837443C22semidirect
158. #16837441C22semidirect
159. #106×D59C22semidirect
160. #16837427C22semidirect
161. #16837411C22semidirect
162. #16837408C22semidirect
163. #16837408C22semidirect
164. #16837406C22semidirect
165. #16837405C22semidirect
166. #16837405C22semidirect
167. #16837405C22semidirect
169. #16837402C22semidirect
170. #16837402C22semidirect
171. #16837402C22semidirect
172. #16837402C22semidirect
173. #16837402C22semidirect
174. #16837402C22semidirect
175. #16837398C22semidirect
178. #16837397C22semidirect
179. #16837397C22semidirect
180. #16837397C22semidirect
181. C2×#14273647C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. #16837364C22semidirect
187. #16837356C22semidirect
188. C59×#553C22semidirect
189. C59×#548C22semidirect
190. C59×#488C22semidirect
191. C59×#483C22semidirect
192. C59×#482C22semidirect
193. C59×#479C22semidirect
194. C59×#469C22semidirect
195. C59×#468C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#448C22semidirect
199. C4×SD16×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#419C22semidirect
202. C59×#417C22semidirect
542. #11745689#41semidirect
936. #3326D59semidirect
988. #553C2×D59semidirect
994. #548C2×D59semidirect
1031. #488C2×D59semidirect
1037. #483C2×D59semidirect
1043. #482C2×D59semidirect
1051. #479C2×D59semidirect
1067. #469C2×D59semidirect
1069. #468C2×D59semidirect
1077. #463C2×D59semidirect
1089. #449C2×D59semidirect
1091. #448C2×D59semidirect
1103. C4×SD16C2×D59semidirect
1109. #436C2×D59semidirect
1119. #419C2×D59semidirect
1133. #417C2×D59semidirect
1147. C59#61179semidirect

Maximal subgroups

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

subgroupindex
#214378242
#214377622
#214364252
#214364192
#214363452
#214363392
#214363332
#214363032
#214362962
#214362822
#214362752
#214362402
#214362312
#214361062
#214360992
#214360642
#214360552
#214344492
#214340802
#214340352
#214339612
#214337712
#469×D592
#214335972
#214333612
#214333472
#214329232
#214327962
#214326202
#214326142
C59×#33262
#6117959