Finite Group Databasebeta

← #29475651

Subgroups — #29475651

Order 15104.

2160 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#21438524C211yesmaximal, characteristic, complemented
2#21437868C211yesmaximal, characteristic, complemented
3#21436234C211yesmaximal, characteristic, complemented
4#21436233C211yesmaximal, characteristic, complemented
5#21436220C211yesmaximal, characteristic, complemented
6#21436216C211yesmaximal, characteristic, complemented
7#21436118C211yesmaximal, characteristic, complemented
8#21436105C211yesmaximal, characteristic, complemented
9#21436101C211yesmaximal, characteristic, complemented
10#21435678C211yesmaximal, characteristic, complemented
11#21435676C211yesmaximal, characteristic, complemented
12#21435643C211yesmaximal, characteristic, complemented
13#21435641C211yesmaximal, characteristic, complemented
14#21435593C211yesmaximal, characteristic, complemented
15#21435589C211yesmaximal, characteristic, complemented
16#21435580C211yesmaximal, characteristic, complemented
17#21435572C211yesmaximal, characteristic, complemented
18#21435118C211yesmaximal, characteristic, complemented
19#21435115C211yesmaximal, characteristic, complemented
20#21434964C211yesmaximal, characteristic, complemented
21#21434960C211yesmaximal, characteristic, complemented
22#21434955C211yesmaximal, characteristic, complemented
23#21434951C211yesmaximal, characteristic, complemented
24#21434210C211yesmaximal, characteristic, complemented
25#21434209C211yesmaximal, characteristic, complemented
26#21433405C211yesmaximal, characteristic, complemented
27#21433401C211yesmaximal, characteristic, complemented
28#21433368C211yesmaximal, characteristic, complemented
29#21433365C211yesmaximal, characteristic, complemented
30#21433164C211yesmaximal, characteristic, complemented
31C59×#3310C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic
33C2×#14273772C2211yescharacteristic, complemented
34C2×#14273756C2211yescharacteristic, complemented
35C2×#14273755C2211yescharacteristic, complemented
36C2×#14273754C2211yescharacteristic, complemented
37C2×#14273753C2211yescharacteristic, complemented
38C2×#14273749C2211yescharacteristic, complemented
39C2×#14273748C2211yescharacteristic, complemented
40C2×SD16×D59C2211yescharacteristic, complemented
41C22×#11745669C2211yescharacteristic, complemented
42#16838156—21no—
43#16838142—21no—
44#16838115—21no—
45#16838105C2211yescharacteristic, complemented
46#16838100C2211yescharacteristic, complemented
47#16838091C2211yescharacteristic, complemented
48#16838077—21no—
49#16838073C2211yescharacteristic
50#16838072C2211yescharacteristic, complemented
51#16838070C2211yescharacteristic
52#16838070C2211yescharacteristic, complemented
53#16838064C2211yescharacteristic, complemented
54#16838062C2211yescharacteristic, complemented
55#16838048C2211yescharacteristic, complemented
56#16838043C2211yescharacteristic, complemented
57D4×D236C2211yescharacteristic, complemented
58#16838036—21no—
59D4×C22⋊D59—21no—
60D4×C22⋊D59C2211yescharacteristic
61D4×C22⋊D59C2211yescharacteristic, complemented
62#16838034—21no—
63#16838034—21no—
64#16838008—21no—
65#16838007—21no—
66#16837991—21no—
67#16837988—21no—
68#16837983C2211yescharacteristic, complemented
69#16837982C2211yescharacteristic, complemented
70#16837975C2211yescharacteristic, complemented
71#16837971C2211yescharacteristic, complemented
72#16837968C2211yescharacteristic
73#16837968C2211yescharacteristic, complemented
74#16837967—21no—
75#16837967—21no—
76#16837949C2211yescharacteristic
77#16837947—21no—
78C2×#14273723—21no—
79#127×D59C2211yescharacteristic, complemented
80#16837939C2211yescharacteristic, complemented
81#16837937C2211yescharacteristic, complemented
82C4×#11745687C2211yescharacteristic, complemented
83#16837791C2211yescharacteristic, complemented
84#16837789C2211yescharacteristic, complemented
85#16837788C2211yescharacteristic, complemented
86#16837788C2211yescharacteristic, complemented
87#16837768C2211yescharacteristic, complemented
88#16837765C2211yescharacteristic, complemented
89#16837765C2211yescharacteristic, complemented
90#16837745C2211yescharacteristic, complemented
91#16837742C2211yescharacteristic, complemented
92#16837729C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837728C2211yescharacteristic, complemented
95#16837726C2211yescharacteristic, complemented
96#16837724C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic, complemented
98#16837720C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837708C2211yescharacteristic, complemented
101#16837706C2211yescharacteristic, complemented
102#16837700C2211yescharacteristic, complemented
103#16837656C2211yescharacteristic, complemented
104#16837654C2211yescharacteristic, complemented
105#16837654C2211yescharacteristic, complemented
106#16837653C2211yescharacteristic, complemented
107#16837650C2211yescharacteristic, complemented
108#16837649C2211yescharacteristic, complemented
109#16837648C2211yescharacteristic, complemented
110#16837639C2211yescharacteristic, complemented
111#16837639C2211yescharacteristic, complemented
112#16837638C2211yescharacteristic, complemented
113#16837637C2211yescharacteristic, complemented
114#16837633C2211yescharacteristic, complemented
115#16837630C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837625C2211yescharacteristic, complemented
119#16837619C2211yescharacteristic, complemented
120#16837617C2211yescharacteristic, complemented
121#16837602C2211yescharacteristic, complemented
122#16837601C2211yescharacteristic, complemented
123#16837601C2211yescharacteristic, complemented
124#16837598C2211yescharacteristic, complemented
125#16837596C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic, complemented
127#16837594C2211yescharacteristic, complemented
128#16837566C2211yescharacteristic, complemented
129#16837565C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837562C2211yescharacteristic, complemented
132#16837562C2211yescharacteristic, complemented
133#16837561C2211yescharacteristic, complemented
134#16837554C2211yescharacteristic, complemented
135#16837554C2211yescharacteristic, complemented
136#16837554C2211yescharacteristic, complemented
137#16837553C2211yescharacteristic, complemented
138#16837551C2211yescharacteristic, complemented
139#16837551C2211yescharacteristic, complemented
140#16837550C2211yescharacteristic, complemented
141#16837549C2211yescharacteristic, complemented
142#16837549C2211yescharacteristic, complemented
143#16837548C2211yescharacteristic
144#16837548C2211yescharacteristic
145#16837548C2211yescharacteristic, complemented
146#16837548C2211yescharacteristic, complemented
147#16837548C2211yescharacteristic, complemented
148#16837546C2211yescharacteristic, complemented
149#16837545C2211yescharacteristic, complemented
150#16837542C2211yescharacteristic, complemented
151#16837539C2211yescharacteristic, 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#16837508C2211yescharacteristic, complemented
165#16837507C2211yescharacteristic, complemented
166#16837504C2211yescharacteristic, complemented
167#16837501C2211yescharacteristic, complemented
168#16837499C2211yescharacteristic, complemented
169#16837476C2211yescharacteristic, complemented
170#16837475C2211yescharacteristic, complemented
171#16837474C2211yescharacteristic, complemented
172#16837473C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic, complemented
174#16837471C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837458C2211yescharacteristic, complemented
177#16837457C2211yescharacteristic, complemented
178#16837405C2211yescharacteristic, complemented
179#16837401C2211yescharacteristic, complemented
180#16837400C2211yescharacteristic, complemented
181#16837396C2211yescharacteristic, complemented
182#16837395C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837368C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C59×#552C2211yescharacteristic, complemented
189D42×C59C2211yescharacteristic
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203#14273772—42no—
204#14273772—42no—
205#14273772—42no—
206#14273772—42no—
207C2×#11745689C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745687—21no—
214C2×#11745687—21no—
215C2×#11745687C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217C2×#11745687C2311yescharacteristic
218C2×Q8×D59C2311yescharacteristic
219C22×D236—21no—
220C22×D236C2311yescharacteristic
221C22×C22⋊D59—21no—
222C22×C22⋊D59—21no—
223C22×C22⋊D59—21no—
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
234C2×D4×D59C2311yescharacteristic
235#14273756—42no—
236#14273755—42no—
237#14273754—42no—
238#14273753—42no—
239#14273749—42no—
240#14273748—42no—
241C2×Dic236C2311yescharacteristic
242C2×#11745672C2311yescharacteristic
243C2×#11745660C2311yescharacteristic
244C2×#11745660C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745660C2311yescharacteristic
247C2×#11745670C2311yescharacteristic
248C2×#11745670C2311yescharacteristic
249C2×#11745670C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251C2×#11745671C2311yescharacteristic
252SD16×D59—42no—
253C2×D472C2311yescharacteristic
254C2×D472C2311yescharacteristic
255C2×D472C2311yescharacteristic
256C2×D472C2311yescharacteristic
257C2×#11745669—42no—
258C2×#11745669C2311yescharacteristic
259C2×#11745669C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262C2×#11745669C2311yescharacteristic
263C2×#11745669C2311yescharacteristic
264C2×#11745664C2311yescharacteristic
265C2×#11745659C2311yescharacteristic
266C2×#11745659C2311yescharacteristic
267C22×C59⋊C8C2311yescharacteristic
268C2×C8×D59C2311yescharacteristic
269C2×C8×D59C2311yescharacteristic
270#14273726—21no—
271#14273726D411yescharacteristic
272#14273724—21no—
273#14273724C2311yescharacteristic
274#14273723—21no—
275#14273723—21no—
276#14273723—21no—
277#14273723—21no—
278#14273723—21no—
279#14273723—21no—
280#14273723—21no—
281#14273723—21no—
282#14273723D411yescharacteristic
283#14273723C2311yescharacteristic
284#14273723C2311yescharacteristic
285#14273722—21no—
286#14273722—21no—
287#14273722—21no—
288#14273722—21no—
289#14273720—21no—
290#14273719—21no—
291#14273718C2311yescharacteristic
292#14273716C2311yescharacteristic
293#14273715—21no—
294#14273715—21no—
295#14273715C2311yescharacteristic
296#14273713—21no—
297#14273713—21no—
298#14273713—21no—
299#14273713—21no—
300#14273713D411yescharacteristic
301#14273713D411yescharacteristic
302#14273712—21no—
303#14273712—21no—
304#14273712—21no—
305#14273712—21no—
306#14273712—21no—
307#14273712—21no—
308#14273712—21no—
309#14273709—21no—
310#14273709—21no—
311#14273707—21no—
312#14273707—21no—
313#14273707C2311yescharacteristic
314#14273707C2311yescharacteristic
315#14273706C2311yescharacteristic
316#14273705—21no—
317#14273705—21no—
318#14273703C2311yescharacteristic
319#14273702—21no—
320#14273702—21no—
321#14273702—21no—
322#14273702—21no—
323#14273702—21no—
324#14273702D411yescharacteristic
325#14273702C2311yescharacteristic
326#14273702C2311yescharacteristic
327#14273702C2311yescharacteristic
328#14273702C2311yescharacteristic
329#14273702C2311yescharacteristic
330#14273702C2311yescharacteristic
331#14273702C2311yescharacteristic
332#14273701—21no—
333#14273701—21no—
334#14273701—21no—
335#14273701—21no—
336#14273701C2311yescharacteristic
337#14273701C2311yescharacteristic
338#14273701C2311yescharacteristic
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#14273700D411yescharacteristic
348#14273700D411yescharacteristic
349#14273699—21no—
350#14273699—21no—
351#14273699—21no—
352#14273699—21no—
353#14273699—21no—
354#14273699—21no—
355#14273698D411yescharacteristic
356#14273698C2311yescharacteristic
357#14273698C2311yescharacteristic
358#14273697—21no—
359#14273697—21no—
360#14273697—21no—
361#14273697—21no—
362#14273697—21no—
363#14273697—21no—
364#14273697—21no—
365#14273696—21no—
366#14273696—21no—
367#14273695—21no—
368#14273695—21no—
369#14273695—21no—
370#14273695—21no—
371#14273695—21no—
372C4×Dic118C2311yescharacteristic
373#14273692C2311yescharacteristic
374#14273692C2311yescharacteristic
375C4×D236—21no—
376C4×D236—21no—
377C4×D236C2311yescharacteristic
378C4×D236C2311yescharacteristic
379D4×Dic59—21no—
380D4×Dic59C2311yescharacteristic
381#14273689—21no—
382#14273689—21no—
383#14273689—21no—
384#14273689—21no—
385#14273689C2311yescharacteristic
386C4×C22⋊D59—21no—
387C4×C22⋊D59—21no—
388C4×C22⋊D59C2311yescharacteristic
389C4×C22⋊D59C2311yescharacteristic
390(C22⋊D59)⋊C4—21no—
391(C22⋊D59)⋊C4—21no—
392(C22⋊D59)⋊C4—21no—
393#14273685—21no—
394#14273685C2311yescharacteristic
395#14273685C2311yescharacteristic
396#14273684—21no—
397#14273684—21no—
398#14273683—21no—
399C4⋊C4×D59C2311yescharacteristic
400C22⋊C4×D59—21no—
401C22⋊C4×D59—21no—
402C2×C4×Dic59—21no—
403C42×D59C2311yescharacteristic
404#14273661C2311yescharacteristic
405#14273660C2311yescharacteristic
406#14273658C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
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
446#14273637C2311yescharacteristic
447C22×D4×C59—21no—
448C22×D4×C59C2311yescharacteristic
449C22×D4×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×M16×C59C2311yescharacteristic
454C22×C8×C59C2311yescharacteristic
455#127×C59C2311yescharacteristic
456#126×C59—21no—
457#125×C59—21no—
458#125×C59C2311yescharacteristic
459#123×C59—21no—
460C22⋊Q8×C59C2311yescharacteristic
461C22⋊Q8×C59C2311yescharacteristic
462#121×C59—21no—
463#121×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic
465#120×C59—21no—
466#120×C59—21no—
467C4×Q8×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469C4×D4×C59C2311yescharacteristic
470#117×C59—21no—
471#117×C59C2311yescharacteristic
472C2×C4⋊C4×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#106×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×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
489#97×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497C2×Q8×C59C2411yescharacteristic
498C2×D4×C59—22no—
499C2×D4×C59—22no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—41no—
507C2×D4×C59—41no—
508C2×D4×C59—82no—
509C2×D4×C59C2×D411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59C2411yescharacteristic
516C22×C4×C59C2411yescharacteristic
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—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—44no—
537C2×C22⋊D59—44no—
538C2×C22⋊D59—44no—
539C2×C22⋊D59—44no—
540C2×C22⋊D59—82no—
541C2×C22⋊D59—82no—
542C2×C22⋊D59C2×D411yescharacteristic
543C2×C22⋊D59C2×D411yescharacteristic
544C2×C22⋊D59C2×D411yescharacteristic
545C2×C22⋊D59C2×D411yescharacteristic
546C2×C22⋊D59C2×D411yescharacteristic
547C2×C22⋊D59C2×D411yescharacteristic
548C22×Dic59—21no—
549C22×Dic59—21no—
550C22×Dic59—21no—
551C22×Dic59—21no—
552#11745689—41no—
553#11745689—41no—
554Q8×D59—41no—
555Q8×D59—41no—
556#11745687—22no—
557#11745687—22no—
558#11745687—22no—
559#11745687—22no—
560#11745687—41no—
561#11745687—41no—
562#11745687—44no—
563#11745687—44no—
564D4×D59—22no—
565D4×D59—22no—
566D4×D59—41no—
567D4×D59—41no—
568D4×D59—41no—
569D4×D59—41no—
570D4×D59—41no—
571D4×D59—41no—
572D4×D59—44no—
573D4×D59—44no—
574D4×D59—82no—
575D4×D59—82no—
576#11745685—22no—
577#11745685—22no—
578#11745685—41no—
579#11745685—41no—
580#11745685—41no—
581#11745685—41no—
582#11745685—41no—
583#11745685—41no—
584#11745685—41no—
585#11745685—41no—
586C2×D236—21no—
587C2×D236—21no—
588C2×D236—21no—
589C2×D236—21no—
590C2×D236—21no—
591C2×D236—21no—
592C2×D236—21no—
593C2×D236—21no—
594C2×D236—21no—
595C2×D236—21no—
596C2×D236—21no—
597C2×D236—41no—
598C2×D236—41no—
599C2×D236—82no—
600C2×D236C2×D411yescharacteristic
601C2×D236C2×D411yescharacteristic
602C2×D236C2×D411yescharacteristic
603C2×D236C2411yescharacteristic
604C2×D236C2411yescharacteristic
605C2×D236C2411yescharacteristic
606C2×D236C2411yescharacteristic
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—21no—
614C2×C4×D59—21no—
615C2×C4×D59C2×D411yescharacteristic
616C2×C4×D59C2×D411yescharacteristic
617C2×C4×D59C2411yescharacteristic
618C2×C4×D59C2411yescharacteristic
619C2×C4×D59C2411yescharacteristic
620C2×Dic118—21no—
621C2×Dic118C2×D411yescharacteristic
622C2×Dic118C2×D411yescharacteristic
623C2×Dic118C2411yescharacteristic
624C2×Dic118C2411yescharacteristic
625SD16×C59—22no—
626SD16×C59—41no—
627SD16×C59—41no—
628M16×C59—41no—
629C2×C8×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×C59C2×D411yescharacteristic
641C4⋊C4×C59C2411yescharacteristic
642C4⋊C4×C59C2411yescharacteristic
643C4⋊C4×C59C2411yescharacteristic
644C4⋊C4×C59C2411yescharacteristic
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59—21no—
650C22⋊C4×C59—21no—
651C22⋊C4×C59C2×D411yescharacteristic
652C22⋊C4×C59C2×D411yescharacteristic
653C42×C59—21no—
654C42×C59—21no—
655C42×C59C2411yescharacteristic
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59C2×D411yescharacteristic
661C22⋊Dic59C2×D411yescharacteristic
662#11745672—22no—
663#11745671—41no—
664#11745671—41no—
665#11745670—22no—
666#11745670—41no—
667#11745670—41no—
668#11745669—22no—
669#11745669—22no—
670#11745669—41no—
671#11745669—41no—
672#11745669—41no—
673#11745669—41no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊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)⋊C4C2×D411yescharacteristic
696(C2×D59)⋊C4C2×D411yescharacteristic
697(C2×D59)⋊C4C2×D411yescharacteristic
698(C2×D59)⋊C4C2×D411yescharacteristic
699C4⋊Dic59—21no—
700C4⋊Dic59—21no—
701C4⋊Dic59—21no—
702C4⋊Dic59C2×D411yescharacteristic
703C4⋊Dic59C2411yescharacteristic
704C4⋊Dic59C2411yescharacteristic
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4C2×D411yescharacteristic
713Dic59⋊C4C2×D411yescharacteristic
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59C2×D411yescharacteristic
720C4×Dic59C2×D411yescharacteristic
721C4×Dic59C2411yescharacteristic
722#11745664—41no—
723C2×C59⋊C8—41no—
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728Dic236—22no—
729D472—41no—
730D472—41no—
731D472—41no—
732D472—41no—
733#11745660—22no—
734#11745660—22no—
735#11745660—41no—
736#11745660—41no—
737#11745659—41no—
738#11745659—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—21no—
744C23×C59—42no—
745C23×C59—42no—
746C23×C59—81no—
747C23×C59—81no—
748C23×C59—81no—
749C23×C59—81no—
750C23×C59C22×D411yescharacteristic
751C23×C59C22×D411yescharacteristic
752C22×D59—21no—
753C22×D59—21no—
754C22×D59—21no—
755C22×D59—21no—
756C22×D59—42no—
757C22×D59—42no—
758C22×D59—42no—
759C22×D59—42no—
760C22×D59—81no—
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—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—21no—
779D4×C59—21no—
780D4×C59—21no—
781D4×C59—41no—
782D4×C59—42no—
783D4×C59—42no—
784D4×C59—42no—
785D4×C59—81no—
786D4×C59—81no—
787D4×C59—81no—
788D4×C59H(5,𝔽2)12yes—
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—21no—
797C2×C4×C59—21no—
798C2×C4×C59—42no—
799C2×C4×C59—81no—
800C2×C4×C59C22×D411yescharacteristic
801C2×C4×C59C22×D411yescharacteristic
802C2×C4×C59C22×D411yescharacteristic
803C2×C4×C59C22×D411yescharacteristic
804C2×C4×C59C2511yescharacteristic
805C22⋊D59—24no—
806C22⋊D59—41no—
807C22⋊D59—41no—
808C22⋊D59—41no—
809C22⋊D59—41no—
810C22⋊D59—41no—
811C22⋊D59—41no—
812C22⋊D59—42no—
813C22⋊D59—42no—
814C22⋊D59—42no—
815C22⋊D59—42no—
816C22⋊D59—42no—
817C22⋊D59—42no—
818C22⋊D59—42no—
819C22⋊D59—42no—
820C22⋊D59—42no—
821C22⋊D59—42no—
822C22⋊D59—81no—
823C22⋊D59—81no—
824C22⋊D59—81no—
825C22⋊D59—81no—
826C22⋊D59—81no—
827C22⋊D59—81no—
828C22⋊D59—81no—
829C22⋊D59—81no—
830C2×Dic59—24no—
831C2×Dic59—21no—
832C2×Dic59—21no—
833C2×Dic59—21no—
834C2×Dic59—21no—
835C2×Dic59—42no—
836C2×Dic59—42no—
837C2×Dic59—42no—
838C2×Dic59C22×D411yescharacteristic
839C2×Dic59C22×D411yescharacteristic
840C2×Dic59C22×D411yescharacteristic
841C2×Dic59C22×D411yescharacteristic
842C2×Dic59C22×D411yescharacteristic
843D236—21no—
844D236—21no—
845D236—21no—
846D236—21no—
847D236—21no—
848D236—21no—
849D236—21no—
850D236—21no—
851D236—41no—
852D236—41no—
853D236—41no—
854D236—42no—
855D236—81no—
856D236—81no—
857D236—81no—
858D236—81no—
859D236—81no—
860D236—81no—
861D236—81no—
862D236—81no—
863D236—81no—
864D236—81no—
865C4×D59—21no—
866C4×D59—21no—
867C4×D59—21no—
868C4×D59—21no—
869C4×D59—21no—
870C4×D59—21no—
871C4×D59—41no—
872C4×D59—41no—
873C4×D59—42no—
874C4×D59—42no—
875C4×D59—81no—
876C4×D59—81no—
877C4×D59—81no—
878C4×D59—81no—
879C4×D59—81no—
880C4×D59—81no—
881Dic118—21no—
882Dic118—21no—
883Dic118—21no—
884Dic118—41no—
885Dic118—41no—
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#61675—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—41no—
910C22×C59—41no—
911C22×C59—41no—
912C22×C59—162no—
913C22×C59—162no—
914C22×C59C23×D411yescharacteristic
915C2×D59—21no—
916C2×D59—21no—
917C2×D59—21no—
918C2×D59—21no—
919C2×D59—21no—
920C2×D59—21no—
921C2×D59—21no—
922C2×D59—21no—
923C2×D59—21no—
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—41no—
936C2×D59—162no—
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×C59C2×H(5,𝔽2)11yescharacteristic
951C4×C59C2×H(5,𝔽2)11yescharacteristic
952Dic59—21no—
953Dic59—21no—
954Dic59—22no—
955Dic59—21no—
956Dic59—21no—
957Dic59—21no—
958Dic59—41no—
959Dic59—41no—
960Dic59—41no—
961#3551—591no—
962#3498—591no—
963#3318—591no—
964#3318—591no—
965#3317—591no—
966#3317—591no—
967#3310—591no—
968#3310D5911yescharacteristic, complemented
969#3309—591no—
970#3309—591no—
971#3271—591no—
972#3271—591no—
973#3268—591no—
974#3268—591no—
975#3265—591no—
976#3265—591no—
977#3264—591no—
978#3264—591no—
979#3217—591no—
980#3217—591no—
981#3200—591no—
982#3199—591no—
983#3198—591no—
984#3198—591no—
985#3111—591no—
986#3111—591no—
987#3012—591no—
988#3012—591no—
989#3009—591no—
990#3008—591no—
991#2980—591no—
992C2×C59—41no—
993C2×C59—42no—
994C2×C59—41no—
995C2×C59—81no—
996C2×C59—81no—
997C2×C59#348411yescharacteristic
998C2×C59#358511yescharacteristic
999C2×C59#358511yescharacteristic
1000D59—41no—
1001D59—41no—
1002D59—41no—
1003D59—81no—
1004D59—81no—
1005D59—81no—
1006D59—81no—
1007C2×H(5,𝔽2)—591no—
1008C2×H(5,𝔽2)—591no—
1009C2×#137—591no—
1010C2×AGL(1,ℤ/8)—591no—
1011C2×AGL(1,ℤ/8)—591no—
1012C2×AGL(1,ℤ/8)—591no—
1013C2×#135—591no—
1014C2×#135—591no—
1015C22×SD16—591no—
1016C22×D8—591no—
1017#563—1181no—
1018#560—1181no—
1019#555—1181no—
1020#553—591no—
1021#553—591no—
1022#552—591no—
1023#552C2×D5911yescharacteristic, complemented
1024#551—1181no—
1025#550—591no—
1026#550—591no—
1027#550—591no—
1028#550—591no—
1029#548—591no—
1030#548—591no—
1031#546—591no—
1032#546—591no—
1033D42—591no—
1034D42—591no—
1035D42—591no—
1036D42—1181no—
1037D42—1181no—
1038D42—1181no—
1039D42—1181no—
1040D42C2×D5911yescharacteristic
1041#540—1181no—
1042#540—1181no—
1043#538—1181no—
1044#538—1181no—
1045#537—591no—
1046#537—591no—
1047#536—591no—
1048#535—591no—
1049#535—591no—
1050#535—591no—
1051#535—1181no—
1052#535—1181no—
1053#532—591no—
1054#532—1181no—
1055C2×#127—591no—
1056C2×#127—1181no—
1057#529—591no—
1058#529—591no—
1059C4×#41—591no—
1060#496—591no—
1061#496—591no—
1062#496—591no—
1063#496—591no—
1064#490—591no—
1065#490—591no—
1066#490—591no—
1067#490C2×D5911yescharacteristic, complemented
1068#485—591no—
1069#485—591no—
1070#482—591no—
1071#482—591no—
1072#482—591no—
1073#482—591no—
1074#482—591no—
1075#482C2×D5911yescharacteristic, complemented
1076#481—591no—
1077#481—591no—
1078#480—591no—
1079#480C2×D5911yescharacteristic, complemented
1080#479—591no—
1081#479—591no—
1082#478—591no—
1083#478C2×D5911yescharacteristic, complemented
1084#469—591no—
1085#469—591no—
1086#469—591no—
1087#469—591no—
1088#468—591no—
1089#468—591no—
1090#468—591no—
1091#468C2×D5911yescharacteristic, complemented
1092#466—591no—
1093#466—591no—
1094#466—591no—
1095#466—591no—
1096#465—591no—
1097#465—591no—
1098#465—591no—
1099#465C2×D5911yescharacteristic, complemented
1100#464—591no—
1101#464—591no—
1102#463—591no—
1103#463—591no—
1104#460—591no—
1105#460—591no—
1106#460—591no—
1107#460C2×D5911yescharacteristic, complemented
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#452—591no—
1118#450—591no—
1119#450—591no—
1120#450—591no—
1121#450—591no—
1122#450—591no—
1123#450—591no—
1124#450C2×D5911yescharacteristic, complemented
1125#450C2×D5911yescharacteristic, complemented
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#449—591no—
1136#448—591no—
1137#448—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#441—591no—
1152#440—591no—
1153#440—591no—
1154#440—591no—
1155#440C2×D5911yescharacteristic, complemented
1156#435—591no—
1157#435—591no—
1158#435—591no—
1159#435—591no—
1160#435—591no—
1161#435—591no—
1162#435—591no—
1163#435C2×D5911yescharacteristic, complemented
1164#432—591no—
1165#432—591no—
1166#418—591no—
1167#418C2×D5911yescharacteristic, complemented
1168#417—591no—
1169#417—591no—
1170#416—591no—
1171#416—591no—
1172C2×#102—591no—
1173C2×#102C2×D5911yescharacteristic, complemented
1174#408—591no—
1175#408—591no—
1176#408—591no—
1177#408—591no—
1178C59#6167511yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—2362no—
1180H(5,𝔽2)—2362no—
1181H(5,𝔽2)—2362no—
1182H(5,𝔽2)—2362no—
1183C2×#41—591no—
1184C2×#41—591no—
1185C2×#41—591no—
1186C2×#41—591no—
1187C2×#41—591no—
1188C2×#41—591no—
1189C2×#41—591no—
1190C2×#41—591no—
1191C2×#41—591no—
1192C2×#41—1181no—
1193C2×#41—1181no—
1194C22×Q8—591no—
1195C22×D4—21no—
1196C22×D4—591no—
1197C22×D4—591no—
1198C22×D4—591no—
1199C22×D4—591no—
1200C22×D4—591no—
1201C22×D4—1181no—
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×D4—1181no—
1212C22×D4C22×D5911yescharacteristic
1213C22×D4C22×D5911yescharacteristic
1214#137—2362no—
1215AGL(1,ℤ/8)—2362no—
1216AGL(1,ℤ/8)—2362no—
1217AGL(1,ℤ/8)—2362no—
1218#135—2362no—
1219#135—2362no—
1220C2×Q16—591no—
1221C2×Q16—591no—
1222C2×SD16—591no—
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×SD16—2362no—
1232C2×SD16C22×D5911yescharacteristic
1233C2×SD16C22×D5911yescharacteristic
1234C2×SD16C22×D5911yescharacteristic
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×M16C22×D5911yescharacteristic
1250C22×C8—591no—
1251C22×C8—591no—
1252C22×C8—591no—
1253C22×C8C22×D5911yescharacteristic
1254C4⋊Q8—591no—
1255C4⋊Q8—1181no—
1256#127—591no—
1257#127—591no—
1258#127—591no—
1259#127—591no—
1260#127—1181no—
1261#127—1181no—
1262#127—1181no—
1263#127—1181no—
1264#127—1181no—
1265#127—1181no—
1266#127—1181no—
1267#127—1181no—
1268#127—1181no—
1269#127C22×D5911yescharacteristic
1270#126—21no—
1271#126—1181no—
1272#126—1181no—
1273#126—1181no—
1274#126—1181no—
1275#126—1181no—
1276#125—21no—
1277#125—591no—
1278#125—1181no—
1279#125C22×D5911yescharacteristic
1280#124—591no—
1281#124—591no—
1282#124—591no—
1283#124—591no—
1284#124—1181no—
1285#124—1181no—
1286#124—1181no—
1287#124—1181no—
1288#124—1181no—
1289#124—1181no—
1290#123—21no—
1291#123—1181no—
1292#123—1181no—
1293#123—1181no—
1294#123—1181no—
1295#123—1181no—
1296#123—1181no—
1297#123—1181no—
1298#123—1181no—
1299#123—1181no—
1300C22⋊Q8—591no—
1301C22⋊Q8—591no—
1302C22⋊Q8—591no—
1303C22⋊Q8—591no—
1304C22⋊Q8—1181no—
1305C22⋊Q8—1181no—
1306C22⋊Q8—1181no—
1307C22⋊Q8—1181no—
1308C22⋊Q8C22×D5911yescharacteristic
1309C22⋊Q8C22×D5911yescharacteristic
1310#121—21no—
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—591no—
1321#121—591no—
1322#121—591no—
1323#121—591no—
1324#121—591no—
1325#121—591no—
1326#121—591no—
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#121C22×D5911yescharacteristic
1352#120—21no—
1353#120—21no—
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×Q8—591no—
1371C4×Q8C22×D5911yescharacteristic
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×D4—1181no—
1389C4×D4—1181no—
1390C4×D4C22×D5911yescharacteristic
1391C4×D4C22×D5911yescharacteristic
1392#117—21no—
1393#117—591no—
1394#117—591no—
1395#117—1181no—
1396#117—1181no—
1397#117—1181no—
1398#117—1181no—
1399#117C22×D5911yescharacteristic
1400C2×C4⋊C4—591no—
1401C2×C4⋊C4C22×D5911yescharacteristic
1402C2×C22⋊C4—1181no—
1403C2×C22⋊C4—1181no—
1404C2×C42—591no—
1405C2×C42—1181no—
1406#107—591no—
1407#107—591no—
1408#107C22×D5911yescharacteristic
1409#107C22×D5911yescharacteristic
1410#106—591no—
1411#106—591no—
1412#106—591no—
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#103—591no—
1425#103C22×D5911yescharacteristic
1426#102—591no—
1427#102—591no—
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#102C22×D5911yescharacteristic
1442#102C22×D5911yescharacteristic
1443#102C22×D5911yescharacteristic
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—
1464#97—591no—
1465#97C22×D5911yescharacteristic
1466C24—21no—
1467C24—21no—
1468C24—1181no—
1469C24—1181no—
1470C24—1181no—
1471C24—1181no—
1472C24—1181no—
1473#41—1182no—
1474#41—1182no—
1475#41—1182no—
1476#41—1182no—
1477#41—1182no—
1478#41—1182no—
1479#41—2361no—
1480#41—2361no—
1481#41—2361no—
1482#41—2361no—
1483#41—2361no—
1484#41—2361no—
1485#41—2361no—
1486#41—2361no—
1487#41—2361no—
1488#41—2361no—
1489#41—2361no—
1490#41—2361no—
1491#41—2364no—
1492#41—2364no—
1493C2×Q8—591no—
1494C2×Q8—591no—
1495C2×Q8—591no—
1496C2×Q8—591no—
1497C2×Q8—1181no—
1498C2×Q8—2361no—
1499C2×Q8—2361no—
1500C2×Q8C23×D5911yescharacteristic
1501C2×D4—22no—
1502C2×D4—22no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—41no—
1510C2×D4—41no—
1511C2×D4—82no—
1512C2×D4—591no—
1513C2×D4—591no—
1514C2×D4—591no—
1515C2×D4—591no—
1516C2×D4—591no—
1517C2×D4—591no—
1518C2×D4—591no—
1519C2×D4—591no—
1520C2×D4—591no—
1521C2×D4—591no—
1522C2×D4—591no—
1523C2×D4—591no—
1524C2×D4—591no—
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—1181no—
1538C2×D4—1181no—
1539C2×D4—1181no—
1540C2×D4—1181no—
1541C2×D4—1181no—
1542C2×D4—1182no—
1543C2×D4—1182no—
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—1181no—
1554C2×D4—1181no—
1555C2×D4—1181no—
1556C2×D4—1181no—
1557C2×D4—4722no—
1558C2×D4—4722no—
1559C2×D4—4722no—
1560C2×D4—4722no—
1561C2×D4—4722no—
1562C2×D4—2361no—
1563C2×D4—2361no—
1564C2×D4—2361no—
1565C2×D4—2361no—
1566C2×D4—2361no—
1567C2×D4—2361no—
1568C2×D4—2361no—
1569C2×D4—2361no—
1570C2×D4—2364no—
1571C2×D4—2364no—
1572C2×D4—2364no—
1573C2×D4—2364no—
1574C2×D4—2364no—
1575C2×D4—2364no—
1576C2×D4D4×D5911yescharacteristic
1577C2×D4C23×D5911yescharacteristic
1578C2×D4C23×D5911yescharacteristic
1579C2×D4C23×D5911yescharacteristic
1580C22×C4—21no—
1581C22×C4—21no—
1582C22×C4—591no—
1583C22×C4—591no—
1584C22×C4—591no—
1585C22×C4—591no—
1586C22×C4—591no—
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—1181no—
1597C22×C4—1181no—
1598C22×C4—1181no—
1599C22×C4C23×D5911yescharacteristic
1600C22×C4C23×D5911yescharacteristic
1601Q16—1182no—
1602Q16—1182no—
1603SD16—22no—
1604SD16—41no—
1605SD16—41no—
1606SD16—1182no—
1607SD16—1182no—
1608SD16—1182no—
1609SD16—2361no—
1610SD16—2361no—
1611SD16—2361no—
1612SD16—2361no—
1613SD16—2361no—
1614SD16—2361no—
1615D8—1182no—
1616D8—1182no—
1617D8—2361no—
1618D8—2361no—
1619D8—2361no—
1620D8—2361no—
1621D8—2361no—
1622D8—2361no—
1623D8—2361no—
1624D8—2361no—
1625M16—41no—
1626M16—2361no—
1627M16—2361no—
1628M16—2361no—
1629C2×C8—41no—
1630C2×C8—591no—
1631C2×C8—591no—
1632C2×C8—591no—
1633C2×C8—591no—
1634C2×C8—2361no—
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—591no—
1648C4⋊C4—591no—
1649C4⋊C4—591no—
1650C4⋊C4—591no—
1651C4⋊C4—591no—
1652C4⋊C4—1181no—
1653C4⋊C4—1181no—
1654C4⋊C4—1181no—
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—591no—
1674C22⋊C4—591no—
1675C22⋊C4—591no—
1676C22⋊C4—591no—
1677C22⋊C4—591no—
1678C22⋊C4—591no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1705C22⋊C4D4×D5911yescharacteristic
1706C42—21no—
1707C42—21no—
1708C42—591no—
1709C42—591no—
1710C42—591no—
1711C42—1181no—
1712C42—1181no—
1713C42—1181no—
1714C42—1181no—
1715C42—1181no—
1716C42C23×D5911yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—42no—
1721C23—42no—
1722C23—81no—
1723C23—81no—
1724C23—81no—
1725C23—81no—
1726C23—591no—
1727C23—591no—
1728C23—591no—
1729C23—1181no—
1730C23—1181no—
1731C23—1181no—
1732C23—1181no—
1733C23—4721no—
1734C23—4721no—
1735C23—4721no—
1736C23—4721no—
1737C23—4721no—
1738C23—4721no—
1739C23—4721no—
1740C23—4721no—
1741C23—4721no—
1742C23—4721no—
1743C23—4721no—
1744C23—2362no—
1745C23—2362no—
1746C23—2362no—
1747C23—2362no—
1748C23C2×D4×D5911yescharacteristic
1749C23C2×D4×D5911yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—592no—
1753Q8—1181no—
1754Q8—1181no—
1755Q8—1181no—
1756Q8—4721no—
1757Q8—2361no—
1758Q8—2361no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—41no—
1765D4—42no—
1766D4—42no—
1767D4—42no—
1768D4—81no—
1769D4—81no—
1770D4—81no—
1771D4—1184no—
1772D4—1181no—
1773D4—1181no—
1774D4—1181no—
1775D4—1181no—
1776D4—1181no—
1777D4—1181no—
1778D4—1181no—
1779D4—1181no—
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—2361no—
1801D4—2362no—
1802D4—2361no—
1803D4—2361no—
1804D4—2361no—
1805D4—2361no—
1806D4—2361no—
1807D4—2361no—
1808D4—2362no—
1809D4—2362no—
1810D4—2362no—
1811D4—2362no—
1812D4—2362no—
1813D4—2362no—
1814D4—2362no—
1815D4—2362no—
1816D4—2362no—
1817D4—2362no—
1818D4#1427377312yes—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—42no—
1829C2×C4—81no—
1830C2×C4—591no—
1831C2×C4—591no—
1832C2×C4—591no—
1833C2×C4—591no—
1834C2×C4—591no—
1835C2×C4—1184no—
1836C2×C4—1181no—
1837C2×C4—1181no—
1838C2×C4—1181no—
1839C2×C4—1181no—
1840C2×C4—1181no—
1841C2×C4—1181no—
1842C2×C4—1181no—
1843C2×C4—1181no—
1844C2×C4—1181no—
1845C2×C4—1181no—
1846C2×C4—4721no—
1847C2×C4—4721no—
1848C2×C4—4721no—
1849C2×C4—4721no—
1850C2×C4—4721no—
1851C2×C4—4721no—
1852C2×C4—2361no—
1853C2×C4—2361no—
1854C2×C4—2362no—
1855C2×C4—2362no—
1856C2×C4—2362no—
1857C2×C4—2362no—
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—41no—
1885C22—41no—
1886C22—41no—
1887C22—162no—
1888C22—162no—
1889C22—1181no—
1890C22—1181no—
1891C22—1181no—
1892C22—1181no—
1893C22—1181no—
1894C22—1181no—
1895C22—1181no—
1896C22—1181no—
1897C22—1181no—
1898C22—9442no—
1899C22—9442no—
1900C22—9442no—
1901C22—9442no—
1902C22—9442no—
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—1181no—
1926C4—1181no—
1927C4—1181no—
1928C4—1182no—
1929C4—1181no—
1930C4—1181no—
1931C4—2361no—
1932C4—2361no—
1933C4—2361no—
1934C4H(5,𝔽2)×D5911yescharacteristic
1935C4C2×#1427377311yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—42no—
1939C2—81no—
1940C2—81no—
1941C2—4721no—
1942C2—4721no—
1943C2—4721no—
1944C2—4721no—
1945C2—2361no—
1946C2—2361no—
1947C2—2361no—
1948C2#2143772611yescharacteristic
1949C2#2143887211yescharacteristic
1950C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3310C2
socleC22×C59C23×D4
hypercenter#3310D59
hypocenterC59#61675
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #21438524C2semidirect
2. #21437868C2semidirect
3. #21436234C2semidirect
4. #21436233C2semidirect
5. #21436220C2semidirect
6. #21436216C2semidirect
7. #21436118C2semidirect
8. #21436105C2semidirect
9. #21436101C2semidirect
10. #21435678C2semidirect
11. #21435676C2semidirect
12. #21435643C2semidirect
13. #21435641C2semidirect
14. #21435593C2semidirect
15. #21435589C2semidirect
16. #21435580C2semidirect
17. #21435572C2semidirect
18. #21435118C2semidirect
19. #21435115C2semidirect
20. #21434964C2semidirect
21. #21434960C2semidirect
22. #21434955C2semidirect
23. #21434951C2semidirect
24. #21434210C2semidirect
25. #21434209C2semidirect
26. #21433405C2semidirect
27. #21433401C2semidirect
28. #21433368C2semidirect
29. #21433365C2semidirect
30. #21433164C2semidirect
31. C59×#3310C2semidirect
33. C2×#14273772C22semidirect
34. C2×#14273756C22semidirect
35. C2×#14273755C22semidirect
36. C2×#14273754C22semidirect
37. C2×#14273753C22semidirect
38. C2×#14273749C22semidirect
39. C2×#14273748C22semidirect
40. C2×SD16×D59C22semidirect
41. C22×#11745669C22semidirect
45. #16838105C22semidirect
46. #16838100C22semidirect
47. #16838091C22semidirect
50. #16838072C22semidirect
52. #16838070C22semidirect
53. #16838064C22semidirect
54. #16838062C22semidirect
55. #16838048C22semidirect
56. #16838043C22semidirect
57. D4×D236C22semidirect
61. D4×C22⋊D59C22semidirect
68. #16837983C22semidirect
69. #16837982C22semidirect
70. #16837975C22semidirect
71. #16837971C22semidirect
73. #16837968C22semidirect
79. #127×D59C22semidirect
80. #16837939C22semidirect
81. #16837937C22semidirect
82. C4×#11745687C22semidirect
83. #16837791C22semidirect
84. #16837789C22semidirect
85. #16837788C22semidirect
86. #16837788C22semidirect
87. #16837768C22semidirect
88. #16837765C22semidirect
89. #16837765C22semidirect
90. #16837745C22semidirect
91. #16837742C22semidirect
92. #16837729C22semidirect
93. #16837729C22semidirect
94. #16837728C22semidirect
95. #16837726C22semidirect
96. #16837724C22semidirect
97. #16837722C22semidirect
98. #16837720C22semidirect
99. #16837714C22semidirect
100. #16837708C22semidirect
101. #16837706C22semidirect
102. #16837700C22semidirect
103. #16837656C22semidirect
104. #16837654C22semidirect
105. #16837654C22semidirect
106. #16837653C22semidirect
107. #16837650C22semidirect
108. #16837649C22semidirect
109. #16837648C22semidirect
110. #16837639C22semidirect
111. #16837639C22semidirect
112. #16837638C22semidirect
113. #16837637C22semidirect
114. #16837633C22semidirect
115. #16837630C22semidirect
116. #16837629C22semidirect
117. #16837627C22semidirect
118. #16837625C22semidirect
119. #16837619C22semidirect
120. #16837617C22semidirect
121. #16837602C22semidirect
122. #16837601C22semidirect
123. #16837601C22semidirect
124. #16837598C22semidirect
125. #16837596C22semidirect
126. #16837596C22semidirect
127. #16837594C22semidirect
128. #16837566C22semidirect
129. #16837565C22semidirect
130. #16837565C22semidirect
131. #16837562C22semidirect
132. #16837562C22semidirect
133. #16837561C22semidirect
134. #16837554C22semidirect
135. #16837554C22semidirect
136. #16837554C22semidirect
137. #16837553C22semidirect
138. #16837551C22semidirect
139. #16837551C22semidirect
140. #16837550C22semidirect
141. #16837549C22semidirect
142. #16837549C22semidirect
145. #16837548C22semidirect
146. #16837548C22semidirect
147. #16837548C22semidirect
148. #16837546C22semidirect
149. #16837545C22semidirect
150. #16837542C22semidirect
151. #16837539C22semidirect
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. #16837508C22semidirect
165. #16837507C22semidirect
166. #16837504C22semidirect
167. #16837501C22semidirect
168. #16837499C22semidirect
169. #16837476C22semidirect
170. #16837475C22semidirect
171. #16837474C22semidirect
172. #16837473C22semidirect
173. #16837472C22semidirect
174. #16837471C22semidirect
175. #16837470C22semidirect
176. #16837458C22semidirect
177. #16837457C22semidirect
178. #16837405C22semidirect
179. #16837401C22semidirect
180. #16837400C22semidirect
181. #16837396C22semidirect
182. #16837395C22semidirect
183. #102×D59C22semidirect
184. #16837370C22semidirect
185. #16837368C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C59×#552C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
192. C59×#480C22semidirect
193. C59×#478C22semidirect
194. C59×#468C22semidirect
195. C59×#465C22semidirect
196. C59×#460C22semidirect
197. C59×#450C22semidirect
198. C59×#450C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C2×#102×C59C22semidirect
968. #3310D59semidirect
1023. #552C2×D59semidirect
1067. #490C2×D59semidirect
1075. #482C2×D59semidirect
1079. #480C2×D59semidirect
1083. #478C2×D59semidirect
1091. #468C2×D59semidirect
1099. #465C2×D59semidirect
1107. #460C2×D59semidirect
1124. #450C2×D59semidirect
1125. #450C2×D59semidirect
1155. #440C2×D59semidirect
1163. #435C2×D59semidirect
1167. #418C2×D59semidirect
1173. C2×#102C2×D59semidirect
1178. C59#61675semidirect

Maximal subgroups

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

subgroupindex
#214385242
#214378682
#214362342
#214362332
#214362202
#214362162
#214361182
#214361052
#214361012
#214356782
#214356762
#214356432
#214356412
#214355932
#214355892
#214355802
#214355722
#214351182
#214351152
#214349642
#214349602
#214349552
#214349512
#214342102
#214342092
#214334052
#214334012
#214333682
#214333652
#214331642
C59×#33102
#6167559