Finite Group Databasebeta

← #29475229

Subgroups — #29475229

Order 15104.

2164 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438406C211yesmaximal, characteristic, complemented
2#21437759C211yesmaximal, characteristic, complemented
3#21436421C211yesmaximal, characteristic, complemented
4#21436348C211yesmaximal, characteristic, complemented
5#21436334C211yesmaximal, characteristic, complemented
6#21436280C211yesmaximal, characteristic, complemented
7#21436234C211yesmaximal, characteristic, complemented
8#21436216C211yesmaximal, characteristic, complemented
9#21436058C211yesmaximal, characteristic, complemented
10#21435724C211yesmaximal, characteristic, complemented
11#21435718C211yesmaximal, characteristic, complemented
12#21435717C211yesmaximal, characteristic, complemented
13#21435700C211yesmaximal, characteristic, complemented
14#21435687C211yesmaximal, characteristic, complemented
15#21435643C211yesmaximal, characteristic, complemented
16#21435580C211yesmaximal, characteristic, complemented
17#21435577C211yesmaximal, characteristic, complemented
18#21435197C211yesmaximal, characteristic, complemented
19#21435149C211yesmaximal, characteristic, complemented
20#21435003C211yesmaximal, characteristic, complemented
21#21434954C211yesmaximal, characteristic, complemented
22#21434911C211yesmaximal, characteristic, complemented
23#21434895C211yesmaximal, characteristic, complemented
24#21434369C211yesmaximal, characteristic, complemented
25#21434300C211yesmaximal, characteristic, complemented
26#21433401C211yesmaximal, characteristic, complemented
27#21433365C211yesmaximal, characteristic, complemented
28#21433349C211yesmaximal, characteristic, complemented
29#21433339C211yesmaximal, characteristic, complemented
30#21433153C211yesmaximal, characteristic, complemented
31C59×#3323C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic, complemented
33C2×#41×D59C2211yescharacteristic, complemented
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273755C2211yescharacteristic, complemented
36C2×#14273755C2211yescharacteristic, complemented
37C2×#14273754C2211yescharacteristic, complemented
38C2×#14273754C2211yescharacteristic, complemented
39C2×#14273752C2211yescharacteristic, complemented
40C2×#14273748C2211yescharacteristic, complemented
41C22×#11745669C2211yescharacteristic, complemented
42#16838150—21no—
43#16838143—21no—
44#16838115C2211yescharacteristic, complemented
45#16838105C2211yescharacteristic, complemented
46#16838076—21no—
47#16838074C2211yescharacteristic, complemented
48#16838073C2211yescharacteristic
49#16838070C2211yescharacteristic, complemented
50#16838062C2211yescharacteristic, complemented
51#16838060C2211yescharacteristic, complemented
52#16838053C2211yescharacteristic, complemented
53#16838044—21no—
54#16838044—21no—
55#16838043C2211yescharacteristic, complemented
56#16838043C2211yescharacteristic, complemented
57#16838042—21no—
58#16838040C2211yescharacteristic, complemented
59D4×D236C2211yescharacteristic, complemented
60D4×D236C2211yescharacteristic, complemented
61#16838036—21no—
62D4×C22⋊D59C2211yescharacteristic, complemented
63#16838034—21no—
64#16838024C2211yescharacteristic, complemented
65#16838008—21no—
66#16838008C2211yescharacteristic, complemented
67#16837991—21no—
68#16837982C2211yescharacteristic, complemented
69#16837982C2211yescharacteristic, complemented
70#16837979—21no—
71#16837971—21no—
72#16837971C2211yescharacteristic, complemented
73#16837970C2211yescharacteristic, complemented
74#16837967—21no—
75#16837963—21no—
76#16837915C2211yescharacteristic, complemented
77#16837911C2211yescharacteristic
78#16837910—21no—
79C2×#14273702C2211yescharacteristic, complemented
80C2×#14273700—21no—
81#121×D59C2211yescharacteristic, complemented
82#16837881C2211yescharacteristic, complemented
83#16837792C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837787C2211yescharacteristic, complemented
86#16837779C2211yescharacteristic, complemented
87#16837768C2211yescharacteristic, complemented
88#16837763C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837731C2211yescharacteristic, complemented
91#16837731C2211yescharacteristic, complemented
92#16837729C2211yescharacteristic, complemented
93#16837726C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837722C2211yescharacteristic, complemented
96#16837722C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic, complemented
98#16837720C2211yescharacteristic, complemented
99#16837717C2211yescharacteristic, complemented
100#16837706C2211yescharacteristic, complemented
101#16837690C2211yescharacteristic, complemented
102#16837686C2211yescharacteristic, complemented
103#16837656C2211yescharacteristic, complemented
104#16837656C2211yescharacteristic, complemented
105#16837656C2211yescharacteristic, complemented
106#16837655C2211yescharacteristic, complemented
107#16837655C2211yescharacteristic, complemented
108#16837654C2211yescharacteristic, complemented
109#16837654C2211yescharacteristic, complemented
110#16837653C2211yescharacteristic, complemented
111#16837651C2211yescharacteristic, complemented
112#16837650C2211yescharacteristic, complemented
113#16837639C2211yescharacteristic, complemented
114#16837634C2211yescharacteristic, complemented
115#16837633C2211yescharacteristic, complemented
116#16837633C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837620C2211yescharacteristic, complemented
119#16837620C2211yescharacteristic, complemented
120#16837619C2211yescharacteristic, complemented
121#16837614C2211yescharacteristic, complemented
122#16837603C2211yescharacteristic, complemented
123#16837602C2211yescharacteristic, complemented
124#16837598C2211yescharacteristic, complemented
125#16837597C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic, complemented
128#16837563C2211yescharacteristic, complemented
129#16837563C2211yescharacteristic, complemented
130#16837562C2211yescharacteristic, complemented
131#16837562C2211yescharacteristic, complemented
132#16837561C2211yescharacteristic, complemented
133#16837552C2211yescharacteristic, complemented
134#16837551C2211yescharacteristic, complemented
135#16837550C2211yescharacteristic, complemented
136#16837550C2211yescharacteristic, complemented
137#16837550C2211yescharacteristic, complemented
138#16837550C2211yescharacteristic, complemented
139#16837550C2211yescharacteristic, complemented
140#16837549C2211yescharacteristic, complemented
141#16837549C2211yescharacteristic, complemented
142#16837548C2211yescharacteristic
143#16837548C2211yescharacteristic, complemented
144#16837548C2211yescharacteristic, complemented
145#16837548C2211yescharacteristic, complemented
146#16837548C2211yescharacteristic, complemented
147#16837547C2211yescharacteristic, complemented
148#16837546C2211yescharacteristic, complemented
149#16837542C2211yescharacteristic, complemented
150#16837542C2211yescharacteristic, complemented
151#16837538C2211yescharacteristic, complemented
152#16837538C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic, complemented
159#16837537C2211yescharacteristic, complemented
160#16837536C2211yescharacteristic, complemented
161#16837535C2211yescharacteristic, complemented
162#16837512C2211yescharacteristic, complemented
163#16837511C2211yescharacteristic, complemented
164#16837507C2211yescharacteristic, complemented
165#16837501C2211yescharacteristic, complemented
166C4×#11745660C2211yescharacteristic, complemented
167#16837489C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837481C2211yescharacteristic, complemented
170#16837478C2211yescharacteristic, complemented
171#16837477C2211yescharacteristic, complemented
172#16837474C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic, complemented
174#16837471C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837462C2211yescharacteristic, complemented
177#16837461C2211yescharacteristic, complemented
178#16837409C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180#16837401C2211yescharacteristic, complemented
181#16837400C2211yescharacteristic, complemented
182#16837396C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837365C2211yescharacteristic, complemented
187#16837364C2211yescharacteristic, complemented
188C59×#552C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic
190C59×#488C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#470C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#464C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C59×#417C2211yescharacteristic, complemented
203#14273772—42no—
204#14273772—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745687—21no—
214C2×#11745687—21no—
215C2×#11745687C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217#41×D59—42no—
218#41×D59—42no—
219C2×Q8×D59C2311yescharacteristic
220C22×D236—21no—
221C22×D236—21no—
222C22×D236C2311yescharacteristic
223C22×D236C2311yescharacteristic
224C22×C22⋊D59—21no—
225C22×C22⋊D59—21no—
226C22×C22⋊D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59—21no—
230C2×D4×D59—21no—
231C2×D4×D59C2311yescharacteristic
232C2×D4×D59C2311yescharacteristic
233C2×D4×D59C2311yescharacteristic
234C22×C4×D59—21no—
235C22×C4×D59C2311yescharacteristic
236#14273759—42no—
237#14273755—42no—
238#14273755—42no—
239#14273754—42no—
240#14273754—42no—
241#14273752—42no—
242#14273748—42no—
243C2×#11745672C2311yescharacteristic
244C2×#11745660C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745660C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251C2×#11745671C2311yescharacteristic
252C2×D472C2311yescharacteristic
253C2×D472C2311yescharacteristic
254C2×D472C2311yescharacteristic
255C2×D472C2311yescharacteristic
256C2×D472C2311yescharacteristic
257C2×D472C2311yescharacteristic
258C2×#11745669—42no—
259C2×#11745669C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262C2×#11745669C2311yescharacteristic
263C2×#11745669C2311yescharacteristic
264C2×#11745669C2311yescharacteristic
265C2×#11745664C2311yescharacteristic
266C2×#11745659C2311yescharacteristic
267C2×#11745659C2311yescharacteristic
268C2×#11745659C2311yescharacteristic
269C22×C59⋊C8C2311yescharacteristic
270C2×C8×D59C2311yescharacteristic
271#14273726C2311yescharacteristic
272#14273724—21no—
273#14273724—21no—
274#14273724C2311yescharacteristic
275#14273724C2311yescharacteristic
276#14273723—21no—
277#14273723—21no—
278#14273723C2311yescharacteristic
279#14273722—21no—
280#14273721—21no—
281#14273716C2311yescharacteristic
282#14273716C2311yescharacteristic
283#14273715—21no—
284#14273715—21no—
285#14273715—21no—
286#14273713—21no—
287#14273713—21no—
288#14273713—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712—21no—
294#14273712—21no—
295#14273712—21no—
296#14273712—21no—
297#14273712D411yescharacteristic
298#14273710—21no—
299#14273710—21no—
300#14273709D411yescharacteristic
301#14273705—21no—
302#14273705—21no—
303#14273705—21no—
304#14273705—21no—
305#14273705—21no—
306#14273705D411yescharacteristic
307#14273704—21no—
308#14273704D411yescharacteristic
309#14273703C2311yescharacteristic
310#14273703C2311yescharacteristic
311#14273702—21no—
312#14273702—21no—
313#14273702—21no—
314#14273702—21no—
315#14273702—21no—
316#14273702—21no—
317#14273702—21no—
318#14273702—21no—
319#14273702—21no—
320#14273702—21no—
321#14273702—21no—
322#14273702—21no—
323#14273702C2311yescharacteristic
324#14273702C2311yescharacteristic
325#14273702C2311yescharacteristic
326#14273702C2311yescharacteristic
327#14273702C2311yescharacteristic
328#14273702C2311yescharacteristic
329#14273702C2311yescharacteristic
330#14273702C2311yescharacteristic
331#14273702C2311yescharacteristic
332#14273701—21no—
333#14273701C2311yescharacteristic
334#14273701C2311yescharacteristic
335#14273701C2311yescharacteristic
336#14273701C2311yescharacteristic
337#14273700—21no—
338#14273700—21no—
339#14273700—21no—
340#14273700—21no—
341#14273700—21no—
342#14273700—21no—
343#14273700—21no—
344#14273700—21no—
345#14273700—21no—
346#14273700—21no—
347#14273700—21no—
348#14273700—21no—
349#14273700—21no—
350#14273700D411yescharacteristic
351#14273699—21no—
352#14273699—21no—
353#14273699—21no—
354#14273699—21no—
355#14273699D411yescharacteristic
356#14273698C2311yescharacteristic
357#14273697—21no—
358#14273697—21no—
359#14273697—21no—
360#14273697—21no—
361#14273697—21no—
362#14273697—21no—
363#14273697—21no—
364#14273697—21no—
365#14273697—21no—
366#14273697—21no—
367#14273697—21no—
368#14273697D411yescharacteristic
369#14273696—21no—
370#14273695—21no—
371#14273695—21no—
372#14273695D411yescharacteristic
373C4×Dic118C2311yescharacteristic
374#14273692C2311yescharacteristic
375C4×D236—21no—
376C4×D236C2311yescharacteristic
377C4×D236C2311yescharacteristic
378D4×Dic59C2311yescharacteristic
379#14273689—21no—
380#14273689—21no—
381#14273689—21no—
382#14273689—21no—
383#14273689C2311yescharacteristic
384#14273689C2311yescharacteristic
385C4×C22⋊D59—21no—
386C4×C22⋊D59C2311yescharacteristic
387C4×C22⋊D59C2311yescharacteristic
388(C22⋊D59)⋊C4—21no—
389(C22⋊D59)⋊C4—21no—
390(C22⋊D59)⋊C4—21no—
391(C22⋊D59)⋊C4—21no—
392#14273685C2311yescharacteristic
393#14273684—21no—
394#14273684C2311yescharacteristic
395#14273683—21no—
396C2×Dic59⋊C4—21no—
397C4⋊C4×D59C2311yescharacteristic
398C4⋊C4×D59C2311yescharacteristic
399C2×(C2×D59)⋊C4—21no—
400C2×(C2×D59)⋊C4—21no—
401C22⋊C4×D59—21no—
402C22⋊C4×D59—21no—
403C22⋊C4×D59—21no—
404#14273660C2311yescharacteristic
405#14273659C2311yescharacteristic
406#14273658C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444#14273638C2311yescharacteristic
445#14273637C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic
449C2×Q16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C2×M16×C59C2311yescharacteristic
454#126×C59—21no—
455#125×C59—21no—
456#125×C59C2311yescharacteristic
457#124×C59C2311yescharacteristic
458#123×C59—21no—
459#123×C59—21no—
460C22⋊Q8×C59C2311yescharacteristic
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463#121×C59—21no—
464#121×C59C2311yescharacteristic
465#120×C59—21no—
466C4×Q8×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469#117×C59—21no—
470#117×C59C2311yescharacteristic
471C2×C4⋊C4×C59C2311yescharacteristic
472C2×C22⋊C4×C59—21no—
473#107×C59C2311yescharacteristic
474#106×C59C2311yescharacteristic
475#106×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C24×C59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59C2×D411yescharacteristic
497#41×C59—22no—
498#41×C59—41no—
499C2×Q8×C59C2411yescharacteristic
500C2×Q8×C59C2411yescharacteristic
501C2×D4×C59—22no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—41no—
506C2×D4×C59C2×D411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59C2411yescharacteristic
513C22×C4×C59C2411yescharacteristic
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⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—44no—
529C2×C22⋊D59—44no—
530C2×C22⋊D59—82no—
531C2×C22⋊D59C2×D411yescharacteristic
532C2×C22⋊D59C2×D411yescharacteristic
533C2×C22⋊D59C2×D411yescharacteristic
534C2×C22⋊D59C2×D411yescharacteristic
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59C2×D411yescharacteristic
539#11745689—41no—
540#11745689—41no—
541#11745689—41no—
542#11745689—41no—
543#11745689—41no—
544#11745689—41no—
545Q8×D59—22no—
546Q8×D59—41no—
547#11745687—22no—
548#11745687—22no—
549#11745687—22no—
550#11745687—41no—
551#11745687—44no—
552#11745687—44no—
553D4×D59—22no—
554D4×D59—22no—
555D4×D59—41no—
556D4×D59—41no—
557D4×D59—41no—
558D4×D59—41no—
559D4×D59—44no—
560D4×D59—44no—
561D4×D59—82no—
562D4×D59—82no—
563#11745685—22no—
564#11745685—22no—
565#11745685—41no—
566#11745685—41no—
567#11745685—41no—
568#11745685—41no—
569#11745685—44no—
570#11745685—82no—
571C2×D236—21no—
572C2×D236—21no—
573C2×D236—21no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—21no—
579C2×D236—21no—
580C2×D236—21no—
581C2×D236—21no—
582C2×D236—21no—
583C2×D236—21no—
584C2×D236—21no—
585C2×D236—21no—
586C2×D236—21no—
587C2×D236—21no—
588C2×D236—21no—
589C2×D236—41no—
590C2×D236—41no—
591C2×D236—41no—
592C2×D236—41no—
593C2×D236—82no—
594C2×D236—82no—
595C2×D236C2×D411yescharacteristic
596C2×D236C2×D411yescharacteristic
597C2×D236C2411yescharacteristic
598C2×D236C2411yescharacteristic
599C2×D236C2411yescharacteristic
600C2×D236C2411yescharacteristic
601C2×D236C2411yescharacteristic
602C2×C4×D59—21no—
603C2×C4×D59—21no—
604C2×C4×D59—21no—
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59—21no—
608C2×C4×D59—21no—
609C2×C4×D59—21no—
610C2×C4×D59—21no—
611C2×C4×D59—21no—
612C2×C4×D59—21no—
613C2×C4×D59—41no—
614C2×C4×D59—41no—
615C2×C4×D59—44no—
616C2×C4×D59C2×D411yescharacteristic
617C2×C4×D59C2×D411yescharacteristic
618C2×C4×D59C2411yescharacteristic
619C2×C4×D59C2411yescharacteristic
620C2×C4×D59C2411yescharacteristic
621C2×Dic118—21no—
622C2×Dic118—21no—
623C2×Dic118C2×D411yescharacteristic
624C2×Dic118C2411yescharacteristic
625Q16×C59—41no—
626SD16×C59—22no—
627SD16×C59—41no—
628M16×C59—41no—
629M16×C59—41no—
630C2×C8×C59C2411yescharacteristic
631C2×C8×C59C2411yescharacteristic
632C2×C8×C59C2411yescharacteristic
633C2×C8×C59C2411yescharacteristic
634C4⋊C4×C59—21no—
635C4⋊C4×C59—21no—
636C4⋊C4×C59—21no—
637C4⋊C4×C59—21no—
638C4⋊C4×C59—21no—
639C4⋊C4×C59—21no—
640C4⋊C4×C59—21no—
641C4⋊C4×C59C2×D411yescharacteristic
642C4⋊C4×C59C2411yescharacteristic
643C4⋊C4×C59C2411yescharacteristic
644C4⋊C4×C59C2411yescharacteristic
645C4⋊C4×C59C2411yescharacteristic
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59—21no—
650C22⋊C4×C59—21no—
651C22⋊C4×C59—21no—
652C22⋊C4×C59—21no—
653C22⋊C4×C59—21no—
654C22⋊C4×C59C2×D411yescharacteristic
655C22⋊C4×C59C2×D411yescharacteristic
656C42×C59—21no—
657C42×C59—21no—
658C42×C59C2411yescharacteristic
659C22⋊Dic59—21no—
660C22⋊Dic59—21no—
661C22⋊Dic59C2×D411yescharacteristic
662C22⋊Dic59C2×D411yescharacteristic
663#11745672—22no—
664#11745671—41no—
665#11745671—41no—
666#11745671—41no—
667#11745671—41no—
668#11745671—41no—
669#11745669—22no—
670#11745669—22no—
671#11745669—22no—
672#11745669—41no—
673#11745669—41no—
674#11745669—41no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4—21no—
694(C2×D59)⋊C4—21no—
695(C2×D59)⋊C4—21no—
696(C2×D59)⋊C4—21no—
697(C2×D59)⋊C4—21no—
698(C2×D59)⋊C4C2×D411yescharacteristic
699(C2×D59)⋊C4C2×D411yescharacteristic
700(C2×D59)⋊C4C2×D411yescharacteristic
701(C2×D59)⋊C4C2×D411yescharacteristic
702(C2×D59)⋊C4C2×D411yescharacteristic
703(C2×D59)⋊C4C2×D411yescharacteristic
704C4⋊Dic59C2×D411yescharacteristic
705C4⋊Dic59C2411yescharacteristic
706C4⋊Dic59C2411yescharacteristic
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4C2×D411yescharacteristic
715Dic59⋊C4C2×D411yescharacteristic
716Dic59⋊C4C2×D411yescharacteristic
717Dic59⋊C4C2×D411yescharacteristic
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59C2411yescharacteristic
722#11745664—41no—
723C2×C59⋊C8—41no—
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728D472—41no—
729D472—41no—
730D472—41no—
731D472—41no—
732D472—41no—
733D472—41no—
734#11745660—22no—
735#11745660—22no—
736#11745660—22no—
737#11745659—41no—
738#11745659—41no—
739#11745659—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—42no—
744C23×C59—81no—
745C23×C59—81no—
746C23×C59C22×D411yescharacteristic
747C23×C59C22×D411yescharacteristic
748C22×D59—21no—
749C22×D59—21no—
750C22×D59—21no—
751C22×D59—21no—
752C22×D59—21no—
753C22×D59—41no—
754C22×D59—41no—
755C22×D59—41no—
756C22×D59—42no—
757C22×D59—42no—
758C22×D59—42no—
759C22×D59—42no—
760C22×D59—42no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59—81no—
764C22×D59—81no—
765C22×D59—81no—
766C22×D59—81no—
767C22×D59—81no—
768C22×D59—81no—
769C22×D59—81no—
770C22×D59—81no—
771C22×D59C22×D411yescharacteristic
772C22×D59C22×D411yescharacteristic
773C22×D59C22×D411yescharacteristic
774Q8×C59—21no—
775Q8×C59—21no—
776Q8×C59—21no—
777Q8×C59—21no—
778D4×C59—21no—
779D4×C59—21no—
780D4×C59—21no—
781D4×C59—41no—
782D4×C59—42no—
783D4×C59—42no—
784D4×C59—81no—
785D4×C59H(5,𝔽2)12yes—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—42no—
797C2×C4×C59—42no—
798C2×C4×C59—81no—
799C2×C4×C59C22×D411yescharacteristic
800C2×C4×C59C22×D411yescharacteristic
801C2×C4×C59C22×D411yescharacteristic
802C2×C4×C59C22×D411yescharacteristic
803C2×C4×C59C2511yescharacteristic
804C22⋊D59—24no—
805C22⋊D59—41no—
806C22⋊D59—41no—
807C22⋊D59—41no—
808C22⋊D59—41no—
809C22⋊D59—42no—
810C22⋊D59—42no—
811C22⋊D59—42no—
812C22⋊D59—42no—
813C22⋊D59—42no—
814C22⋊D59—42no—
815C22⋊D59—42no—
816C22⋊D59—42no—
817C22⋊D59—81no—
818C22⋊D59—81no—
819C22⋊D59—81no—
820C22⋊D59—81no—
821C22⋊D59—81no—
822C2×Dic59—24no—
823C2×Dic59—21no—
824C2×Dic59—21no—
825C2×Dic59—21no—
826C2×Dic59—41no—
827C2×Dic59—42no—
828C2×Dic59—81no—
829C2×Dic59C22×D411yescharacteristic
830C2×Dic59C22×D411yescharacteristic
831C2×Dic59C22×D411yescharacteristic
832C2×Dic59C22×D411yescharacteristic
833C2×Dic59C22×D411yescharacteristic
834D236—21no—
835D236—21no—
836D236—21no—
837D236—21no—
838D236—21no—
839D236—21no—
840D236—21no—
841D236—21no—
842D236—21no—
843D236—21no—
844D236—41no—
845D236—41no—
846D236—42no—
847D236—42no—
848D236—81no—
849D236—81no—
850D236—81no—
851D236—81no—
852D236—81no—
853D236—81no—
854D236—81no—
855D236—81no—
856D236—81no—
857D236—81no—
858D236—81no—
859D236—81no—
860D236—81no—
861D236—81no—
862D236—81no—
863D236—81no—
864C4×D59—21no—
865C4×D59—21no—
866C4×D59—21no—
867C4×D59—21no—
868C4×D59—21no—
869C4×D59—21no—
870C4×D59—41no—
871C4×D59—41no—
872C4×D59—42no—
873C4×D59—42no—
874C4×D59—42no—
875C4×D59—42no—
876C4×D59—81no—
877C4×D59—81no—
878C4×D59—81no—
879C4×D59—81no—
880C4×D59—81no—
881C4×D59—81no—
882C4×D59—81no—
883Dic118—21no—
884Dic118—41no—
885Dic118—42no—
886Dic118—81no—
887Dic118H(5,𝔽2)12yes—
888C8×C59—21no—
889C8×C59—21no—
890C8×C59—21no—
891C8×C59—21no—
892C59⋊C8—21no—
893C59⋊C8—21no—
894C59⋊C8—21no—
895C59⋊C8—21no—
896#61653—591nomaximal, Sylow
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—21no—
900C22×C59—21no—
901C22×C59—22no—
902C22×C59—21no—
903C22×C59—21no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59—41no—
908C22×C59—41no—
909C22×C59—162no—
910C22×C59C23×D411yescharacteristic
911C2×D59—21no—
912C2×D59—21no—
913C2×D59—21no—
914C2×D59—21no—
915C2×D59—21no—
916C2×D59—21no—
917C2×D59—21no—
918C2×D59—21no—
919C2×D59—21no—
920C2×D59—41no—
921C2×D59—41no—
922C2×D59—41no—
923C2×D59—41no—
924C2×D59—41no—
925C2×D59—41no—
926C2×D59—41no—
927C2×D59—41no—
928C2×D59—41no—
929C2×D59—41no—
930C2×D59—41no—
931C2×D59—41no—
932C2×D59—41no—
933C2×D59—41no—
934C2×D59—41no—
935C2×D59—82no—
936C2×D59—84no—
937C2×D59—162no—
938C2×D59—162no—
939C2×D59—162no—
940C2×D59—162no—
941C4×C59—21no—
942C4×C59—21no—
943C4×C59—21no—
944C4×C59—21no—
945C4×C59—41no—
946C4×C59—41no—
947C4×C59—41no—
948C4×C59—41no—
949C4×C59—41no—
950C4×C59—41no—
951C4×C59C2×H(5,𝔽2)11yescharacteristic
952C4×C59C2×H(5,𝔽2)11yescharacteristic
953Dic59—21no—
954Dic59—21no—
955Dic59—22no—
956Dic59—21no—
957Dic59—21no—
958Dic59—21no—
959Dic59—41no—
960Dic59—41no—
961#3542—591no—
962#3488—591no—
963#3332—591no—
964#3326—591no—
965#3325—591no—
966#3323D5911yescharacteristic, complemented
967#3321—591no—
968#3318—591no—
969#3317—591no—
970#3306—591no—
971#3275—591no—
972#3274—591no—
973#3274—591no—
974#3273—591no—
975#3271—591no—
976#3268—591no—
977#3264—591no—
978#3264—591no—
979#3224—591no—
980#3220—591no—
981#3204—591no—
982#3198—591no—
983#3194—591no—
984#3192—591no—
985#3125—591no—
986#3119—591no—
987#3012—591no—
988#3008—591no—
989#3006—591no—
990#3005—591no—
991#2978—591no—
992C2×C59—41no—
993C2×C59—42no—
994C2×C59—41no—
995C2×C59—81no—
996C2×C59#348411yescharacteristic
997C2×C59#358511yescharacteristic
998C2×C59#358511yescharacteristic
999D59—41no—
1000D59—41no—
1001D59—41no—
1002D59—81no—
1003D59—81no—
1004D59—81no—
1005D59—81no—
1006D59—81no—
1007C2×H(5,𝔽2)—591no—
1008C22×#41—591no—
1009C2×#137—591no—
1010C2×AGL(1,ℤ/8)—591no—
1011C2×AGL(1,ℤ/8)—591no—
1012C2×AGL(1,ℤ/8)—591no—
1013C2×AGL(1,ℤ/8)—591no—
1014C2×AGL(1,ℤ/8)—591no—
1015C2×#135—591no—
1016C22×D8—591no—
1017#562—1181no—
1018#560—1181no—
1019#555—591no—
1020#553—591no—
1021#552C2×D5911yescharacteristic, complemented
1022#551—1181no—
1023#550—591no—
1024#550—591no—
1025#550—591no—
1026#548—591no—
1027#548—591no—
1028#547—591no—
1029#546—591no—
1030#546—591no—
1031#546—591no—
1032#546—1181no—
1033#546—1181no—
1034#546—1181no—
1035#546C2×D5911yescharacteristic
1036D42—591no—
1037D42—591no—
1038D42—591no—
1039D42—1181no—
1040D42—1181no—
1041#542—591no—
1042#540—591no—
1043#540—1181no—
1044#538—1181no—
1045#537—591no—
1046#537—591no—
1047#537—1181no—
1048#535—591no—
1049#535—591no—
1050#535—1181no—
1051#535—1181no—
1052#534—1181no—
1053#525—591no—
1054#525—591no—
1055#525—1181no—
1056C2×#121—591no—
1057C2×#121—591no—
1058C2×#121—1181no—
1059#520—591no—
1060#496—591no—
1061#496—591no—
1062#495—591no—
1063#493—591no—
1064#490—591no—
1065#489—591no—
1066#488C2×D5911yescharacteristic, complemented
1067#486—591no—
1068#485C2×D5911yescharacteristic, complemented
1069#483—591no—
1070#483—591no—
1071#482—591no—
1072#482—591no—
1073#482—591no—
1074#481—591no—
1075#481—591no—
1076#481—591no—
1077#481—591no—
1078#481C2×D5911yescharacteristic, complemented
1079#480—591no—
1080#479—591no—
1081#478C2×D5911yescharacteristic, complemented
1082#476—591no—
1083#475—591no—
1084#470C2×D5911yescharacteristic, complemented
1085#469—591no—
1086#469—591no—
1087#469—591no—
1088#469—591no—
1089#469—591no—
1090#469—591no—
1091#469—591no—
1092#469—591no—
1093#468—591no—
1094#468—591no—
1095#468C2×D5911yescharacteristic, complemented
1096#466—591no—
1097#465—591no—
1098#465—591no—
1099#465—591no—
1100#464—591no—
1101#464C2×D5911yescharacteristic, complemented
1102#463—591no—
1103#463—591no—
1104#463—591no—
1105#463—591no—
1106#460—591no—
1107#460—591no—
1108#459—591no—
1109#459—591no—
1110#459—591no—
1111#459—591no—
1112#452—591no—
1113#452—591no—
1114#452—591no—
1115#452—591no—
1116#452—591no—
1117#452C2×D5911yescharacteristic, complemented
1118#450—591no—
1119#450—591no—
1120#450C2×D5911yescharacteristic, complemented
1121#449—591no—
1122#449—591no—
1123#449—591no—
1124#449—591no—
1125#449—591no—
1126#449—591no—
1127#449—591no—
1128#449—591no—
1129#449—591no—
1130#449—591no—
1131#449—591no—
1132#449—591no—
1133#449—591no—
1134#449—591no—
1135#448—591no—
1136#448—591no—
1137#447—591no—
1138#447—591no—
1139#447—591no—
1140#447—591no—
1141#447—591no—
1142#447—591no—
1143#447—591no—
1144#447—591no—
1145#447—591no—
1146#447—591no—
1147#447—591no—
1148#442—591no—
1149#442—591no—
1150#441—591no—
1151#440—591no—
1152C4×SD16—591no—
1153C4×SD16—591no—
1154C4×SD16C2×D5911yescharacteristic, complemented
1155C4×D8—591no—
1156#436—591no—
1157#436—591no—
1158#436—591no—
1159#436C2×D5911yescharacteristic, complemented
1160#435—591no—
1161#435—591no—
1162#435—591no—
1163#435—591no—
1164#433—591no—
1165#433—591no—
1166#419—591no—
1167#418—591no—
1168#418C2×D5911yescharacteristic, complemented
1169#417—591no—
1170#417—591no—
1171#417C2×D5911yescharacteristic, complemented
1172#416—591no—
1173C2×#102—591no—
1174#408—591no—
1175#408—591no—
1176#407—591no—
1177#407—591no—
1178C59#6165311yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—2362no—
1180H(5,𝔽2)—2362no—
1181C2×#41—591no—
1182C2×#41—591no—
1183C2×#41—591no—
1184C2×#41—591no—
1185C2×#41—591no—
1186C2×#41—591no—
1187C2×#41—591no—
1188C2×#41—591no—
1189C2×#41—1181no—
1190C2×#41—1181no—
1191C2×#41—1181no—
1192C2×#41—1181no—
1193C2×#41—2362no—
1194C2×#41—2362no—
1195C2×#41C22×D5911yescharacteristic
1196C22×Q8—591no—
1197C22×D4—591no—
1198C22×D4—591no—
1199C22×D4—591no—
1200C22×D4—591no—
1201C22×D4—591no—
1202C22×D4—1181no—
1203C22×D4—1181no—
1204C22×D4—1181no—
1205C22×D4—1181no—
1206C22×D4—1181no—
1207C22×D4—1181no—
1208C22×D4—1181no—
1209C22×D4—1181no—
1210C22×D4—1181no—
1211C22×D4C22×D5911yescharacteristic
1212C23×C4—591no—
1213C23×C4—1181no—
1214#137—2362no—
1215AGL(1,ℤ/8)—2362no—
1216AGL(1,ℤ/8)—2362no—
1217AGL(1,ℤ/8)—2362no—
1218AGL(1,ℤ/8)—2362no—
1219AGL(1,ℤ/8)—2362no—
1220#135—2362no—
1221C2×Q16—591no—
1222C2×Q16C22×D5911yescharacteristic
1223C2×SD16—591no—
1224C2×SD16—591no—
1225C2×SD16—591no—
1226C2×SD16—591no—
1227C2×SD16—591no—
1228C2×SD16—591no—
1229C2×SD16—591no—
1230C2×SD16—591no—
1231C2×SD16C22×D5911yescharacteristic
1232C2×SD16C22×D5911yescharacteristic
1233C2×D8—591no—
1234C2×D8—591no—
1235C2×D8—591no—
1236C2×D8—591no—
1237C2×D8—591no—
1238C2×D8—591no—
1239C2×D8—591no—
1240C2×D8—591no—
1241C2×D8—591no—
1242C2×D8—591no—
1243C2×D8—591no—
1244C2×D8—591no—
1245C2×D8—2362no—
1246C2×M16—591no—
1247C2×M16—591no—
1248C2×M16—591no—
1249C2×M16—591no—
1250C2×M16C22×D5911yescharacteristic
1251C2×M16C22×D5911yescharacteristic
1252C22×C8—591no—
1253C22×C8—591no—
1254C4⋊Q8—591no—
1255#127—591no—
1256#127—591no—
1257#127—591no—
1258#127—1181no—
1259#127—1181no—
1260#127—1181no—
1261#127—1181no—
1262#126—21no—
1263#126—1181no—
1264#126—1181no—
1265#125—21no—
1266#125C22×D5911yescharacteristic
1267#124—591no—
1268#124—591no—
1269#124—1181no—
1270#124—1181no—
1271#124—1181no—
1272#124—1181no—
1273#124—1181no—
1274#124—1181no—
1275#124C22×D5911yescharacteristic
1276#123—21no—
1277#123—21no—
1278#123—591no—
1279#123—591no—
1280#123—1181no—
1281#123—1181no—
1282#123—1181no—
1283#123—1181no—
1284#123—1181no—
1285#123—1181no—
1286#123—1181no—
1287#123—1181no—
1288#123—1181no—
1289#123—1181no—
1290C22⋊Q8—591no—
1291C22⋊Q8—591no—
1292C22⋊Q8—591no—
1293C22⋊Q8—591no—
1294C22⋊Q8—1181no—
1295C22⋊Q8—1181no—
1296C22⋊Q8—1181no—
1297C22⋊Q8—1181no—
1298C22⋊Q8—1181no—
1299C22⋊Q8—1181no—
1300C22⋊Q8C22×D5911yescharacteristic
1301C22⋊Q8C22×D5911yescharacteristic
1302C22⋊Q8C22×D5911yescharacteristic
1303#121—21no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—591no—
1312#121—591no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—591no—
1317#121—591no—
1318#121—591no—
1319#121—591no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121—1181no—
1333#121—1181no—
1334#121—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121—1181no—
1345#121—1181no—
1346#121—1181no—
1347#121—1181no—
1348#121—1181no—
1349#121—1181no—
1350#121C22×D5911yescharacteristic
1351#120—21no—
1352#120—591no—
1353#120—591no—
1354#120—1181no—
1355#120—1181no—
1356#120—1181no—
1357#120—1181no—
1358#120—1181no—
1359#120—1181no—
1360#120—1181no—
1361#120—1181no—
1362#120—1181no—
1363#120—1181no—
1364#120—1181no—
1365#120—1181no—
1366#120—1181no—
1367#120—1181no—
1368C4×Q8—591no—
1369C4×Q8—591no—
1370C4×Q8C22×D5911yescharacteristic
1371C4×D4—591no—
1372C4×D4—591no—
1373C4×D4—591no—
1374C4×D4—591no—
1375C4×D4—591no—
1376C4×D4—591no—
1377C4×D4—591no—
1378C4×D4—1181no—
1379C4×D4—1181no—
1380C4×D4—1181no—
1381C4×D4—1181no—
1382C4×D4—1181no—
1383C4×D4—1181no—
1384C4×D4—1181no—
1385C4×D4—1181no—
1386C4×D4—1181no—
1387C4×D4—1181no—
1388C4×D4C22×D5911yescharacteristic
1389C4×D4C22×D5911yescharacteristic
1390#117—21no—
1391#117—591no—
1392#117—591no—
1393#117—1181no—
1394#117—1181no—
1395#117C22×D5911yescharacteristic
1396C2×C4⋊C4—591no—
1397C2×C4⋊C4—591no—
1398C2×C4⋊C4—1181no—
1399C2×C4⋊C4C22×D5911yescharacteristic
1400C2×C22⋊C4—21no—
1401C2×C22⋊C4—1181no—
1402C2×C22⋊C4—1181no—
1403C2×C22⋊C4—1181no—
1404C2×C22⋊C4—1181no—
1405C2×C22⋊C4—1181no—
1406#107—591no—
1407#107C22×D5911yescharacteristic
1408#106—591no—
1409#106—591no—
1410#106—591no—
1411#106—591no—
1412#106C22×D5911yescharacteristic
1413#106C22×D5911yescharacteristic
1414C4⋊C8—591no—
1415C4⋊C8—591no—
1416C4⋊C8—591no—
1417C4⋊C8C22×D5911yescharacteristic
1418#103—591no—
1419#103—591no—
1420#103—591no—
1421#103—591no—
1422#103—591no—
1423#103—591no—
1424#103C22×D5911yescharacteristic
1425#103C22×D5911yescharacteristic
1426#103C22×D5911yescharacteristic
1427#103C22×D5911yescharacteristic
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433#102—591no—
1434#102—591no—
1435#102—591no—
1436#102—591no—
1437#102—591no—
1438#102—591no—
1439#102—591no—
1440#102—591no—
1441#102—591no—
1442#102—591no—
1443#102—591no—
1444#102C22×D5911yescharacteristic
1445#102C22×D5911yescharacteristic
1446#102C22×D5911yescharacteristic
1447#102C22×D5911yescharacteristic
1448#102C22×D5911yescharacteristic
1449#102C22×D5911yescharacteristic
1450C22⋊C8—591no—
1451C22⋊C8—591no—
1452C22⋊C8—591no—
1453C22⋊C8—591no—
1454C22⋊C8—591no—
1455C22⋊C8—591no—
1456C22⋊C8—591no—
1457C22⋊C8—591no—
1458C22⋊C8—591no—
1459C22⋊C8—591no—
1460C22⋊C8C22×D5911yescharacteristic
1461C22⋊C8C22×D5911yescharacteristic
1462#97—591no—
1463#97—591no—
1464C4×C8—591no—
1465C4×C8C22×D5911yescharacteristic
1466C24—21no—
1467C24—591no—
1468C24—1181no—
1469C24—1181no—
1470C24—1181no—
1471C24—1181no—
1472C24—1181no—
1473#41—22no—
1474#41—41no—
1475#41—1182no—
1476#41—1182no—
1477#41—1182no—
1478#41—1182no—
1479#41—1182no—
1480#41—4722no—
1481#41—2361no—
1482#41—2361no—
1483#41—2361no—
1484#41—2361no—
1485#41—2364no—
1486#41—2361no—
1487#41—2361no—
1488#41—2361no—
1489#41—2361no—
1490#41—2361no—
1491#41—2364no—
1492#41—2364no—
1493#41—2361no—
1494#41—2361no—
1495C2×Q8—591no—
1496C2×Q8—591no—
1497C2×Q8—1181no—
1498C2×Q8—1181no—
1499C2×Q8—1182no—
1500C2×Q8—2361no—
1501C2×Q8C23×D5911yescharacteristic
1502C2×Q8C23×D5911yescharacteristic
1503C2×D4—22no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—41no—
1508C2×D4—591no—
1509C2×D4—591no—
1510C2×D4—591no—
1511C2×D4—591no—
1512C2×D4—591no—
1513C2×D4—591no—
1514C2×D4—591no—
1515C2×D4—591no—
1516C2×D4—591no—
1517C2×D4—591no—
1518C2×D4—591no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1182no—
1538C2×D4—1182no—
1539C2×D4—1181no—
1540C2×D4—1181no—
1541C2×D4—1181no—
1542C2×D4—1181no—
1543C2×D4—1181no—
1544C2×D4—1181no—
1545C2×D4—1181no—
1546C2×D4—1181no—
1547C2×D4—1181no—
1548C2×D4—1181no—
1549C2×D4—1181no—
1550C2×D4—1181no—
1551C2×D4—1181no—
1552C2×D4—1181no—
1553C2×D4—4722no—
1554C2×D4—4722no—
1555C2×D4—4722no—
1556C2×D4—4722no—
1557C2×D4—4722no—
1558C2×D4—2361no—
1559C2×D4—2361no—
1560C2×D4—2361no—
1561C2×D4—2361no—
1562C2×D4—2361no—
1563C2×D4—2361no—
1564C2×D4—2361no—
1565C2×D4—2361no—
1566C2×D4—2364no—
1567C2×D4—2364no—
1568C2×D4—2364no—
1569C2×D4—2364no—
1570C2×D4D4×D5911yescharacteristic
1571C2×D4C23×D5911yescharacteristic
1572C2×D4C23×D5911yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—591no—
1577C22×C4—591no—
1578C22×C4—591no—
1579C22×C4—591no—
1580C22×C4—591no—
1581C22×C4—591no—
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—
1596C22×C4—2361no—
1597C22×C4—2361no—
1598C22×C4—2364no—
1599C22×C4C23×D5911yescharacteristic
1600C22×C4C23×D5911yescharacteristic
1601Q16—41no—
1602Q16—1182no—
1603SD16—22no—
1604SD16—41no—
1605SD16—1182no—
1606SD16—1182no—
1607SD16—1182no—
1608SD16—2361no—
1609SD16—2361no—
1610SD16—2361no—
1611SD16—2361no—
1612SD16—2361no—
1613D8—1182no—
1614D8—1182no—
1615D8—1182no—
1616D8—2361no—
1617D8—2361no—
1618D8—2361no—
1619D8—2361no—
1620D8—2361no—
1621D8—2361no—
1622D8—2361no—
1623D8—2361no—
1624D8—2361no—
1625M16—41no—
1626M16—41no—
1627M16—2361no—
1628M16—2361no—
1629M16—2361no—
1630M16—2361no—
1631C2×C8—591no—
1632C2×C8—591no—
1633C2×C8—591no—
1634C2×C8—591no—
1635C2×C8—2361no—
1636C2×C8—2361no—
1637C2×C8C23×D5911yescharacteristic
1638C2×C8C23×D5911yescharacteristic
1639C2×C8C23×D5911yescharacteristic
1640C2×C8C23×D5911yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—21no—
1646C4⋊C4—21no—
1647C4⋊C4—21no—
1648C4⋊C4—591no—
1649C4⋊C4—591no—
1650C4⋊C4—591no—
1651C4⋊C4—591no—
1652C4⋊C4—591no—
1653C4⋊C4—591no—
1654C4⋊C4—591no—
1655C4⋊C4—1181no—
1656C4⋊C4—1181no—
1657C4⋊C4—1181no—
1658C4⋊C4—1181no—
1659C4⋊C4—1181no—
1660C4⋊C4—1181no—
1661C4⋊C4—1181no—
1662C4⋊C4D4×D5911yescharacteristic
1663C4⋊C4C23×D5911yescharacteristic
1664C4⋊C4C23×D5911yescharacteristic
1665C4⋊C4C23×D5911yescharacteristic
1666C4⋊C4C23×D5911yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—591no—
1676C22⋊C4—591no—
1677C22⋊C4—591no—
1678C22⋊C4—591no—
1679C22⋊C4—591no—
1680C22⋊C4—591no—
1681C22⋊C4—591no—
1682C22⋊C4—591no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C22⋊C4—1181no—
1688C22⋊C4—1181no—
1689C22⋊C4—1181no—
1690C22⋊C4—1181no—
1691C22⋊C4—1181no—
1692C22⋊C4—1181no—
1693C22⋊C4—1181no—
1694C22⋊C4—1181no—
1695C22⋊C4—1181no—
1696C22⋊C4—1181no—
1697C22⋊C4—1181no—
1698C22⋊C4—1181no—
1699C22⋊C4—1181no—
1700C22⋊C4—1181no—
1701C22⋊C4—1181no—
1702C22⋊C4—1181no—
1703C22⋊C4—1181no—
1704C22⋊C4—1181no—
1705C22⋊C4—1181no—
1706C22⋊C4—1181no—
1707C22⋊C4—1181no—
1708C22⋊C4D4×D5911yescharacteristic
1709C22⋊C4D4×D5911yescharacteristic
1710C42—21no—
1711C42—21no—
1712C42—591no—
1713C42—1181no—
1714C42—1181no—
1715C42—1181no—
1716C42C23×D5911yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—42no—
1720C23—81no—
1721C23—81no—
1722C23—591no—
1723C23—591no—
1724C23—591no—
1725C23—1181no—
1726C23—1181no—
1727C23—1181no—
1728C23—1181no—
1729C23—1181no—
1730C23—4721no—
1731C23—4721no—
1732C23—4721no—
1733C23—4721no—
1734C23—4721no—
1735C23—4721no—
1736C23—4721no—
1737C23—4721no—
1738C23—4721no—
1739C23—4721no—
1740C23—2361no—
1741C23—2361no—
1742C23—2361no—
1743C23—2362no—
1744C23—2362no—
1745C23—2362no—
1746C23—2362no—
1747C23—2362no—
1748C23C2×D4×D5911yescharacteristic
1749C23C2×D4×D5911yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—592no—
1755Q8—1181no—
1756Q8—4721no—
1757Q8—2361no—
1758Q8—2362no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—41no—
1763D4—42no—
1764D4—42no—
1765D4—81no—
1766D4—1184no—
1767D4—1181no—
1768D4—1181no—
1769D4—1181no—
1770D4—1181no—
1771D4—1181no—
1772D4—1181no—
1773D4—1181no—
1774D4—1181no—
1775D4—1181no—
1776D4—1181no—
1777D4—4721no—
1778D4—4721no—
1779D4—4721no—
1780D4—4721no—
1781D4—4721no—
1782D4—4721no—
1783D4—4721no—
1784D4—4721no—
1785D4—4721no—
1786D4—4721no—
1787D4—4721no—
1788D4—4721no—
1789D4—4721no—
1790D4—4721no—
1791D4—4721no—
1792D4—4721no—
1793D4—4721no—
1794D4—4721no—
1795D4—4721no—
1796D4—4721no—
1797D4—4721no—
1798D4—2361no—
1799D4—2361no—
1800D4—2362no—
1801D4—2362no—
1802D4—2361no—
1803D4—2361no—
1804D4—2361no—
1805D4—2361no—
1806D4—2362no—
1807D4—2362no—
1808D4—2362no—
1809D4—2362no—
1810D4—2362no—
1811D4—2362no—
1812D4—2362no—
1813D4—2362no—
1814D4#1427377312yes—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—42no—
1826C2×C4—42no—
1827C2×C4—81no—
1828C2×C4—591no—
1829C2×C4—591no—
1830C2×C4—591no—
1831C2×C4—591no—
1832C2×C4—591no—
1833C2×C4—1184no—
1834C2×C4—1181no—
1835C2×C4—1181no—
1836C2×C4—1181no—
1837C2×C4—1181no—
1838C2×C4—1181no—
1839C2×C4—1181no—
1840C2×C4—1181no—
1841C2×C4—1181no—
1842C2×C4—1181no—
1843C2×C4—4721no—
1844C2×C4—4721no—
1845C2×C4—4721no—
1846C2×C4—4721no—
1847C2×C4—4721no—
1848C2×C4—4721no—
1849C2×C4—4721no—
1850C2×C4—4721no—
1851C2×C4—2361no—
1852C2×C4—2361no—
1853C2×C4—2362no—
1854C2×C4—2362no—
1855C2×C4—2362no—
1856C2×C4—2362no—
1857C2×C4—2361no—
1858C2×C4—2362no—
1859C2×C4C2×D4×D5911yescharacteristic
1860C2×C4C2×D4×D5911yescharacteristic
1861C2×C4C2×D4×D5911yescharacteristic
1862C2×C4C2×D4×D5911yescharacteristic
1863C2×C4C24×D5911yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—1181no—
1869C8—1181no—
1870C8—1181no—
1871C8—1181no—
1872C22—21no—
1873C22—21no—
1874C22—22no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—162no—
1885C22—1181no—
1886C22—1181no—
1887C22—1181no—
1888C22—1181no—
1889C22—1181no—
1890C22—1181no—
1891C22—1181no—
1892C22—1181no—
1893C22—1181no—
1894C22—9442no—
1895C22—9442no—
1896C22—9442no—
1897C22—9442no—
1898C22—4724no—
1899C22—4722no—
1900C22—2361no—
1901C22—2361no—
1902C22—2361no—
1903C22—2361no—
1904C22—2361no—
1905C22—2361no—
1906C22—2361no—
1907C22—2361no—
1908C22—2361no—
1909C22—2361no—
1910C22—2361no—
1911C22—2361no—
1912C22—2361no—
1913C22—2361no—
1914C22—2361no—
1915C22C22×D4×D5911yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—41no—
1926C4—1181no—
1927C4—1181no—
1928C4—1181no—
1929C4—1182no—
1930C4—1181no—
1931C4—1181no—
1932C4—2361no—
1933C4—2361no—
1934C4H(5,𝔽2)×D5911yescharacteristic
1935C4C2×#1427377311yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—42no—
1939C2—81no—
1940C2—4721no—
1941C2—4721no—
1942C2—4721no—
1943C2—4721no—
1944C2—4721no—
1945C2—2361no—
1946C2—2361no—
1947C2—2361no—
1948C2#2143772611yescharacteristic
1949C2#2143887311yescharacteristic
1950C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3323C2
socleC22×C59C23×D4
hypercenter#3323D59
hypocenterC59#61653
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3323

Complements

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

NH ≅ G/Ntype
1. #21438406C2semidirect
2. #21437759C2semidirect
3. #21436421C2semidirect
4. #21436348C2semidirect
5. #21436334C2semidirect
6. #21436280C2semidirect
7. #21436234C2semidirect
8. #21436216C2semidirect
9. #21436058C2semidirect
10. #21435724C2semidirect
11. #21435718C2semidirect
12. #21435717C2semidirect
13. #21435700C2semidirect
14. #21435687C2semidirect
15. #21435643C2semidirect
16. #21435580C2semidirect
17. #21435577C2semidirect
18. #21435197C2semidirect
19. #21435149C2semidirect
20. #21435003C2semidirect
21. #21434954C2semidirect
22. #21434911C2semidirect
23. #21434895C2semidirect
24. #21434369C2semidirect
25. #21434300C2semidirect
26. #21433401C2semidirect
27. #21433365C2semidirect
28. #21433349C2semidirect
29. #21433339C2semidirect
30. #21433153C2semidirect
31. C59×#3323C2semidirect
32. C2×#14273772C22semidirect
33. C2×#41×D59C22semidirect
34. C2×#14273759C22semidirect
35. C2×#14273755C22semidirect
36. C2×#14273755C22semidirect
37. C2×#14273754C22semidirect
38. C2×#14273754C22semidirect
39. C2×#14273752C22semidirect
40. C2×#14273748C22semidirect
41. C22×#11745669C22semidirect
44. #16838115C22semidirect
45. #16838105C22semidirect
47. #16838074C22semidirect
49. #16838070C22semidirect
50. #16838062C22semidirect
51. #16838060C22semidirect
52. #16838053C22semidirect
55. #16838043C22semidirect
56. #16838043C22semidirect
58. #16838040C22semidirect
59. D4×D236C22semidirect
60. D4×D236C22semidirect
62. D4×C22⋊D59C22semidirect
64. #16838024C22semidirect
66. #16838008C22semidirect
68. #16837982C22semidirect
69. #16837982C22semidirect
72. #16837971C22semidirect
73. #16837970C22semidirect
76. #16837915C22semidirect
79. C2×#14273702C22semidirect
81. #121×D59C22semidirect
82. #16837881C22semidirect
83. #16837792C22semidirect
84. #16837788C22semidirect
85. #16837787C22semidirect
86. #16837779C22semidirect
87. #16837768C22semidirect
88. #16837763C22semidirect
89. #16837747C22semidirect
90. #16837731C22semidirect
91. #16837731C22semidirect
92. #16837729C22semidirect
93. #16837726C22semidirect
94. #16837725C22semidirect
95. #16837722C22semidirect
96. #16837722C22semidirect
97. #16837722C22semidirect
98. #16837720C22semidirect
99. #16837717C22semidirect
100. #16837706C22semidirect
101. #16837690C22semidirect
102. #16837686C22semidirect
103. #16837656C22semidirect
104. #16837656C22semidirect
105. #16837656C22semidirect
106. #16837655C22semidirect
107. #16837655C22semidirect
108. #16837654C22semidirect
109. #16837654C22semidirect
110. #16837653C22semidirect
111. #16837651C22semidirect
112. #16837650C22semidirect
113. #16837639C22semidirect
114. #16837634C22semidirect
115. #16837633C22semidirect
116. #16837633C22semidirect
117. #16837627C22semidirect
118. #16837620C22semidirect
119. #16837620C22semidirect
120. #16837619C22semidirect
121. #16837614C22semidirect
122. #16837603C22semidirect
123. #16837602C22semidirect
124. #16837598C22semidirect
125. #16837597C22semidirect
126. #16837596C22semidirect
127. #16837596C22semidirect
128. #16837563C22semidirect
129. #16837563C22semidirect
130. #16837562C22semidirect
131. #16837562C22semidirect
132. #16837561C22semidirect
133. #16837552C22semidirect
134. #16837551C22semidirect
135. #16837550C22semidirect
136. #16837550C22semidirect
137. #16837550C22semidirect
138. #16837550C22semidirect
139. #16837550C22semidirect
140. #16837549C22semidirect
141. #16837549C22semidirect
143. #16837548C22semidirect
144. #16837548C22semidirect
145. #16837548C22semidirect
146. #16837548C22semidirect
147. #16837547C22semidirect
148. #16837546C22semidirect
149. #16837542C22semidirect
150. #16837542C22semidirect
151. #16837538C22semidirect
152. #16837538C22semidirect
153. #16837537C22semidirect
154. #16837537C22semidirect
155. #16837537C22semidirect
156. #16837537C22semidirect
157. #16837537C22semidirect
158. #16837537C22semidirect
159. #16837537C22semidirect
160. #16837536C22semidirect
161. #16837535C22semidirect
162. #16837512C22semidirect
163. #16837511C22semidirect
164. #16837507C22semidirect
165. #16837501C22semidirect
166. C4×#11745660C22semidirect
167. #16837489C22semidirect
168. #16837482C22semidirect
169. #16837481C22semidirect
170. #16837478C22semidirect
171. #16837477C22semidirect
172. #16837474C22semidirect
173. #16837472C22semidirect
174. #16837471C22semidirect
175. #16837470C22semidirect
176. #16837462C22semidirect
177. #16837461C22semidirect
178. #16837409C22semidirect
179. #16837405C22semidirect
180. #16837401C22semidirect
181. #16837400C22semidirect
182. #16837396C22semidirect
183. #102×D59C22semidirect
184. #16837370C22semidirect
185. #16837367C22semidirect
186. #16837365C22semidirect
187. #16837364C22semidirect
188. C59×#552C22semidirect
190. C59×#488C22semidirect
191. C59×#485C22semidirect
192. C59×#481C22semidirect
193. C59×#478C22semidirect
194. C59×#470C22semidirect
195. C59×#468C22semidirect
196. C59×#464C22semidirect
197. C59×#452C22semidirect
198. C59×#450C22semidirect
199. C4×SD16×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#418C22semidirect
202. C59×#417C22semidirect
966. #3323D59semidirect
1021. #552C2×D59semidirect
1066. #488C2×D59semidirect
1068. #485C2×D59semidirect
1078. #481C2×D59semidirect
1081. #478C2×D59semidirect
1084. #470C2×D59semidirect
1095. #468C2×D59semidirect
1101. #464C2×D59semidirect
1117. #452C2×D59semidirect
1120. #450C2×D59semidirect
1154. C4×SD16C2×D59semidirect
1159. #436C2×D59semidirect
1168. #418C2×D59semidirect
1171. #417C2×D59semidirect
1178. C59#61653semidirect

Maximal subgroups

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

subgroupindex
#214384062
#214377592
#214364212
#214363482
#214363342
#214362802
#214362342
#214362162
#214360582
#214357242
#214357182
#214357172
#214357002
#214356872
#214356432
#214355802
#214355772
#214351972
#214351492
#214350032
#214349542
#214349112
#214348952
#214343692
#214343002
#214334012
#214333652
#214333492
#214333392
#214331532
C59×#33232
#6165359