Finite Group Databasebeta

← #29474479

Subgroups — #29474479

Order 15104.

2224 conjugacy classes of subgroups.

The subgroup lattice has 1986 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438334C211yesmaximal, characteristic, complemented
2#21437766C211yesmaximal, characteristic, complemented
3#21436302C211yesmaximal, characteristic, complemented
4#21436294C211yesmaximal, characteristic, complemented
5#21436242C211yesmaximal, characteristic, complemented
6#21436234C211yesmaximal, characteristic, complemented
7#21436107C211yesmaximal, characteristic, complemented
8#21436099C211yesmaximal, characteristic, complemented
9#21436003C211yesmaximal, characteristic, complemented
10#21435995C211yesmaximal, characteristic, complemented
11D8×D236C211yesmaximal, characteristic, complemented
12#21435768C211yesmaximal, characteristic, complemented
13#21435717C211yesmaximal, characteristic, complemented
14#21435711C211yesmaximal, characteristic, complemented
15#21435593C211yesmaximal, characteristic, complemented
16#21435586C211yesmaximal, characteristic, complemented
17#21435578C211yesmaximal, characteristic, complemented
18#21435571C211yesmaximal, characteristic, complemented
19#21435148C211yesmaximal, characteristic, complemented
20#21435140C211yesmaximal, characteristic, complemented
21#21434955C211yesmaximal, characteristic, complemented
22#21434953C211yesmaximal, characteristic, complemented
23#21434895C211yesmaximal, characteristic, complemented
24#21434846C211yesmaximal, characteristic, complemented
25#21434295C211yesmaximal, characteristic, complemented
26#21433361C211yesmaximal, characteristic, complemented
27#21433361C211yesmaximal, characteristic, complemented
28#21433345C211yesmaximal, characteristic, complemented
29#449×D59C211yesmaximal, characteristic, complemented
30#21433142C211yesmaximal, characteristic, complemented
31C59×#3119C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic, complemented
33C2×#41×D59C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273754C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C2×SD16×D59C2211yescharacteristic, complemented
39C2×D8×D59C2211yescharacteristic, complemented
40C2×D8×D59C2211yescharacteristic, complemented
41C2×D8×D59C2211yescharacteristic, complemented
42#16838140—21no—
43#16838140—21no—
44#16838105C2211yescharacteristic, complemented
45#16838105C2211yescharacteristic, complemented
46#16838102C2211yescharacteristic, complemented
47#16838102C2211yescharacteristic, complemented
48#16838074C2211yescharacteristic, complemented
49#16838074C2211yescharacteristic, complemented
50#16838064C2211yescharacteristic, complemented
51#16838064C2211yescharacteristic, complemented
52#16838047—21no—
53#16838047—21no—
54#16838047C2211yescharacteristic, complemented
55#16838047C2211yescharacteristic, complemented
56D4×D236—21no—
57D4×D236—21no—
58D4×D236C2211yescharacteristic, complemented
59D4×D236C2211yescharacteristic, complemented
60D4×D236C2211yescharacteristic, complemented
61D4×D236C2211yescharacteristic, complemented
62#16838037C2211yescharacteristic, complemented
63#16838037C2211yescharacteristic, complemented
64#16838036—21no—
65#16838036—21no—
66#16838007C2211yescharacteristic, complemented
67#16837988—21no—
68#16837988—21no—
69#16837983—21no—
70#16837983C2211yescharacteristic, complemented
71#16837971—21no—
72#16837971C2211yescharacteristic, complemented
73#16837968C2211yescharacteristic, complemented
74#16837968C2211yescharacteristic, complemented
75#16837963—21no—
76#16837963—21no—
77#16837914—21no—
78#16837914C2211yescharacteristic
79C2×#14273702—21no—
80C2×#14273702C2211yescharacteristic, complemented
81#121×D59C2211yescharacteristic, complemented
82#121×D59C2211yescharacteristic, complemented
83#16837791C2211yescharacteristic, complemented
84#16837789C2211yescharacteristic, complemented
85#16837779C2211yescharacteristic, complemented
86#16837778C2211yescharacteristic, complemented
87#16837768C2211yescharacteristic, complemented
88#16837767C2211yescharacteristic, complemented
89#16837759C2211yescharacteristic, complemented
90#16837757C2211yescharacteristic, complemented
91#16837746C2211yescharacteristic, complemented
92#16837745C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837728C2211yescharacteristic, complemented
95#16837722C2211yescharacteristic, complemented
96#16837722C2211yescharacteristic, complemented
97#16837720C2211yescharacteristic, complemented
98#16837717C2211yescharacteristic, complemented
99#16837717C2211yescharacteristic, complemented
100#16837715C2211yescharacteristic, complemented
101#16837709C2211yescharacteristic, complemented
102#16837702C2211yescharacteristic, complemented
103#16837656C2211yescharacteristic, complemented
104#16837656C2211yescharacteristic, complemented
105#16837656C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic, complemented
108#16837654C2211yescharacteristic, complemented
109#16837649C2211yescharacteristic, complemented
110#16837647C2211yescharacteristic, complemented
111#16837639C2211yescharacteristic, complemented
112#16837639C2211yescharacteristic, complemented
113#16837639C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837637C2211yescharacteristic, complemented
116#16837637C2211yescharacteristic, complemented
117#16837632C2211yescharacteristic, complemented
118#16837630C2211yescharacteristic, complemented
119#16837618C2211yescharacteristic, complemented
120#16837618C2211yescharacteristic, complemented
121#16837617C2211yescharacteristic, complemented
122#16837617C2211yescharacteristic, complemented
123#16837602C2211yescharacteristic, complemented
124#16837598C2211yescharacteristic, complemented
125#16837598C2211yescharacteristic, complemented
126#16837597C2211yescharacteristic, complemented
127#16837597C2211yescharacteristic, complemented
128#16837597C2211yescharacteristic, complemented
129#16837554C2211yescharacteristic, complemented
130#16837554C2211yescharacteristic, complemented
131#16837550C2211yescharacteristic, complemented
132#16837550C2211yescharacteristic, complemented
133#16837550C2211yescharacteristic, complemented
134#16837549C2211yescharacteristic, complemented
135#16837549C2211yescharacteristic, complemented
136#16837548C2211yescharacteristic, complemented
137#16837547C2211yescharacteristic, complemented
138#16837547C2211yescharacteristic, complemented
139#16837546C2211yescharacteristic, complemented
140#16837546C2211yescharacteristic, complemented
141#16837546C2211yescharacteristic, complemented
142#16837545C2211yescharacteristic, complemented
143#16837545C2211yescharacteristic, complemented
144#16837544C2211yescharacteristic, complemented
145#16837542C2211yescharacteristic, complemented
146#16837539C2211yescharacteristic, complemented
147#16837538C2211yescharacteristic, complemented
148#16837538C2211yescharacteristic, complemented
149#16837537C2211yescharacteristic, complemented
150#16837537C2211yescharacteristic, complemented
151#16837537C2211yescharacteristic, complemented
152#16837537C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837535C2211yescharacteristic, complemented
159#16837535C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic, complemented
161#16837534C2211yescharacteristic, complemented
162#16837534C2211yescharacteristic, complemented
163#16837512C2211yescharacteristic, complemented
164#16837500C2211yescharacteristic, complemented
165C4×#11745671C2211yescharacteristic, complemented
166C4×#11745669C2211yescharacteristic, complemented
167#16837481C2211yescharacteristic, complemented
168#16837479C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837475C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172#16837472C2211yescharacteristic, complemented
173C8×D236C2211yescharacteristic, complemented
174#16837467C2211yescharacteristic, complemented
175#16837463C2211yescharacteristic, complemented
176#16837405C2211yescharacteristic, complemented
177#16837405C2211yescharacteristic, complemented
178#16837402C2211yescharacteristic, complemented
179#16837400C2211yescharacteristic, complemented
180#16837397C2211yescharacteristic, complemented
181#16837397C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837367C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C59×#540C2211yescharacteristic, complemented
189C59×#520C2211yescharacteristic, complemented
190C59×#481C2211yescharacteristic, complemented
191C59×#480C2211yescharacteristic, complemented
192C59×#479C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#460C2211yescharacteristic, complemented
195C59×#459C2211yescharacteristic, complemented
196C59×#449C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#442C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C4×SD16×C59C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745687—21no—
213C2×#11745687C2311yescharacteristic
214#41×D59—42no—
215#41×D59—42no—
216C2×Q8×D59C2311yescharacteristic
217C22×D236—21no—
218C22×D236—21no—
219C22×D236—21no—
220C22×D236—21no—
221C22×D236—21no—
222C22×D236—21no—
223C22×D236C2311yescharacteristic
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×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
235C2×D4×D59C2311yescharacteristic
236C2×D4×D59C2311yescharacteristic
237C2×D4×D59C2311yescharacteristic
238C22×C4×D59—21no—
239C22×C4×D59C2311yescharacteristic
240#14273754—42no—
241#14273754—42no—
242#14273754—42no—
243#14273751—42no—
244C2×#11745660C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745670C2311yescharacteristic
247C2×#11745670C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250SD16×D59—42no—
251C2×D472C2311yescharacteristic
252C2×D472C2311yescharacteristic
253C2×D472C2311yescharacteristic
254C2×D472C2311yescharacteristic
255C2×D472C2311yescharacteristic
256C2×D472C2311yescharacteristic
257C2×#11745669C2311yescharacteristic
258C2×#11745669C2311yescharacteristic
259C2×#11745669C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262C2×#11745669C2311yescharacteristic
263C2×#11745669C2311yescharacteristic
264C2×#11745669C2311yescharacteristic
265D8×D59—42no—
266D8×D59—42no—
267D8×D59—42no—
268C2×#11745659C2311yescharacteristic
269C2×#11745659C2311yescharacteristic
270C2×#11745659C2311yescharacteristic
271C2×#11745659C2311yescharacteristic
272C2×C8×D59C2311yescharacteristic
273C2×C8×D59C2311yescharacteristic
274C2×C8×D59C2311yescharacteristic
275C2×C8×D59C2311yescharacteristic
276#14273724—21no—
277#14273724—21no—
278#14273724C2311yescharacteristic
279#14273724C2311yescharacteristic
280#14273724C2311yescharacteristic
281#14273723—21no—
282#14273723—21no—
283#14273722—21no—
284#14273722—21no—
285#14273720—21no—
286#14273720—21no—
287#14273719C2311yescharacteristic
288#14273715—21no—
289#14273715—21no—
290#14273715C2311yescharacteristic
291#14273715C2311yescharacteristic
292#14273713—21no—
293#14273713—21no—
294#14273712—21no—
295#14273712—21no—
296#14273712—21no—
297#14273712—21no—
298#14273711—21no—
299#14273711—21no—
300#14273711D411yescharacteristic
301#14273711D411yescharacteristic
302#14273710—21no—
303#14273710—21no—
304#14273707—21no—
305#14273707—21no—
306#14273707—21no—
307#14273707D411yescharacteristic
308#14273707D411yescharacteristic
309#14273707C2311yescharacteristic
310#14273707C2311yescharacteristic
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#14273702—21no—
324#14273702D411yescharacteristic
325#14273702D411yescharacteristic
326#14273702C2311yescharacteristic
327#14273702C2311yescharacteristic
328#14273702C2311yescharacteristic
329#14273702C2311yescharacteristic
330#14273702C2311yescharacteristic
331#14273702C2311yescharacteristic
332#14273702C2311yescharacteristic
333#14273702C2311yescharacteristic
334#14273702C2311yescharacteristic
335#14273702C2311yescharacteristic
336#14273701—21no—
337#14273701—21no—
338#14273701—21no—
339#14273701—21no—
340#14273701—21no—
341#14273701—21no—
342#14273701—21no—
343#14273701—21no—
344#14273701C2311yescharacteristic
345#14273701C2311yescharacteristic
346#14273700—21no—
347#14273700—21no—
348#14273700—21no—
349#14273700—21no—
350#14273700—21no—
351#14273700—21no—
352#14273699—21no—
353#14273699—21no—
354#14273698—21no—
355#14273698—21no—
356#14273698C2311yescharacteristic
357#14273698C2311yescharacteristic
358#14273698C2311yescharacteristic
359#14273698C2311yescharacteristic
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#14273697—21no—
369#14273697—21no—
370#14273697—21no—
371#14273697—21no—
372#14273697—21no—
373#14273697—21no—
374#14273697D411yescharacteristic
375#14273697D411yescharacteristic
376#14273695—21no—
377#14273695—21no—
378#14273695—21no—
379#14273695—21no—
380#14273695—21no—
381#14273695—21no—
382C4×D236—21no—
383C4×D236—21no—
384C4×D236—21no—
385C4×D236—21no—
386C4×D236C2311yescharacteristic
387C4×D236C2311yescharacteristic
388C4×D236C2311yescharacteristic
389C4×D236C2311yescharacteristic
390C4×D236C2311yescharacteristic
391C4×D236C2311yescharacteristic
392#14273689—21no—
393#14273689—21no—
394C4×C22⋊D59—21no—
395C4×C22⋊D59—21no—
396#14273685C2311yescharacteristic
397#14273685C2311yescharacteristic
398C4⋊C4×D59C2311yescharacteristic
399C4⋊C4×D59C2311yescharacteristic
400C2×(C2×D59)⋊C4—21no—
401C2×(C2×D59)⋊C4—21no—
402C2×(C2×D59)⋊C4—21no—
403C22⋊C4×D59—21no—
404C22⋊C4×D59—21no—
405#14273660C2311yescharacteristic
406#14273660C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410C4⋊(C59⋊C8)C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
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
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444(C2×D59)⋊C8C2311yescharacteristic
445#14273638C2311yescharacteristic
446C4×C59⋊C8C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452#127×C59C2311yescharacteristic
453#125×C59C2311yescharacteristic
454#123×C59—21no—
455#123×C59—21no—
456#121×C59—21no—
457#121×C59—21no—
458#121×C59C2311yescharacteristic
459#121×C59C2311yescharacteristic
460C4×Q8×C59C2311yescharacteristic
461C4×Q8×C59C2311yescharacteristic
462C4×D4×C59—21no—
463C4×D4×C59—21no—
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59—21no—
469#117×C59C2311yescharacteristic
470C2×C4⋊C4×C59—21no—
471C2×C4⋊C4×C59C2311yescharacteristic
472#107×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474#106×C59C2311yescharacteristic
475#106×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477C4⋊C8×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488#97×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497C23×D59—21no—
498C23×D59C2×D411yescharacteristic
499#41×C59—22no—
500#41×C59—22no—
501C2×Q8×C59C2411yescharacteristic
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
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⋊D59C2×D411yescharacteristic
533C2×C22⋊D59C2×D411yescharacteristic
534C22×Dic59—21no—
535C22×Dic59C2×D411yescharacteristic
536#11745689—22no—
537#11745689—22no—
538#11745689—22no—
539#11745689—41no—
540#11745689—41no—
541#11745689—41no—
542Q8×D59—22no—
543Q8×D59—41no—
544#11745687—22no—
545#11745687—41no—
546#11745687—44no—
547D4×D59—22no—
548D4×D59—22no—
549D4×D59—22no—
550D4×D59—41no—
551D4×D59—41no—
552D4×D59—41no—
553D4×D59—41no—
554D4×D59—41no—
555D4×D59—41no—
556D4×D59—41no—
557D4×D59—41no—
558D4×D59—41no—
559D4×D59—41no—
560D4×D59—41no—
561D4×D59—44no—
562D4×D59—44no—
563D4×D59—44no—
564D4×D59—82no—
565D4×D59—82no—
566D4×D59—82no—
567D4×D59—82no—
568#11745685—41no—
569#11745685—41no—
570#11745685—41no—
571#11745685—41no—
572#11745685—44no—
573#11745685—44no—
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—21no—
590C2×D236—21no—
591C2×D236—21no—
592C2×D236—21no—
593C2×D236—21no—
594C2×D236—41no—
595C2×D236—41no—
596C2×D236—44no—
597C2×D236—82no—
598C2×D236—82no—
599C2×D236—82no—
600C2×D236—82no—
601C2×D236—82no—
602C2×D236C2×D411yescharacteristic
603C2×D236C2×D411yescharacteristic
604C2×D236C2×D411yescharacteristic
605C2×D236C2×D411yescharacteristic
606C2×D236C2×D411yescharacteristic
607C2×D236C2411yescharacteristic
608C2×D236C2411yescharacteristic
609C2×D236C2411yescharacteristic
610C2×D236C2411yescharacteristic
611C2×D236C2411yescharacteristic
612C2×C4×D59—21no—
613C2×C4×D59—21no—
614C2×C4×D59—21no—
615C2×C4×D59—21no—
616C2×C4×D59—21no—
617C2×C4×D59—21no—
618C2×C4×D59—21no—
619C2×C4×D59—21no—
620C2×C4×D59—21no—
621C2×C4×D59—41no—
622C2×C4×D59—41no—
623C2×C4×D59—44no—
624C2×C4×D59C2×D411yescharacteristic
625C2×C4×D59C2×D411yescharacteristic
626C2×C4×D59C2411yescharacteristic
627C2×C4×D59C2411yescharacteristic
628C2×C4×D59C2411yescharacteristic
629C2×C4×D59C2411yescharacteristic
630C2×Dic118—21no—
631C2×Dic118C2×D411yescharacteristic
632C2×Dic118C2411yescharacteristic
633SD16×C59—22no—
634SD16×C59—22no—
635D8×C59—22no—
636D8×C59—22no—
637C2×C8×C59C2411yescharacteristic
638C2×C8×C59C2411yescharacteristic
639C2×C8×C59C2411yescharacteristic
640C2×C8×C59C2411yescharacteristic
641C4⋊C4×C59—21no—
642C4⋊C4×C59—21no—
643C4⋊C4×C59—21no—
644C4⋊C4×C59—21no—
645C4⋊C4×C59—21no—
646C4⋊C4×C59C2×D411yescharacteristic
647C4⋊C4×C59C2×D411yescharacteristic
648C4⋊C4×C59C2411yescharacteristic
649C4⋊C4×C59C2411yescharacteristic
650C4⋊C4×C59C2411yescharacteristic
651C4⋊C4×C59C2411yescharacteristic
652C22⋊C4×C59—21no—
653C22⋊C4×C59—21no—
654C22⋊C4×C59—21no—
655C22⋊C4×C59—21no—
656C22⋊C4×C59—21no—
657C22⋊C4×C59—21no—
658C22⋊C4×C59C2×D411yescharacteristic
659C22⋊C4×C59C2×D411yescharacteristic
660C42×C59—21no—
661C42×C59—21no—
662C42×C59C2411yescharacteristic
663C42×C59C2411yescharacteristic
664C22⋊Dic59—21no—
665C22⋊Dic59—21no—
666C22⋊Dic59—21no—
667C22⋊Dic59—21no—
668#11745671—22no—
669#11745671—22no—
670#11745670—41no—
671#11745670—41no—
672#11745669—22no—
673#11745669—22no—
674#11745669—41no—
675#11745669—41no—
676#11745669—41no—
677#11745669—41no—
678#11745669—41no—
679#11745669—41no—
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)⋊C4—21no—
699(C2×D59)⋊C4—21no—
700(C2×D59)⋊C4—21no—
701(C2×D59)⋊C4—21no—
702(C2×D59)⋊C4C2×D411yescharacteristic
703(C2×D59)⋊C4C2×D411yescharacteristic
704(C2×D59)⋊C4C2×D411yescharacteristic
705(C2×D59)⋊C4C2×D411yescharacteristic
706(C2×D59)⋊C4C2×D411yescharacteristic
707(C2×D59)⋊C4C2×D411yescharacteristic
708(C2×D59)⋊C4C2×D411yescharacteristic
709(C2×D59)⋊C4C2×D411yescharacteristic
710C4⋊Dic59—21no—
711C4⋊Dic59—21no—
712C4⋊Dic59C2×D411yescharacteristic
713C4⋊Dic59C2×D411yescharacteristic
714C4⋊Dic59C2×D411yescharacteristic
715C4⋊Dic59C2×D411yescharacteristic
716C4⋊Dic59C2411yescharacteristic
717C4⋊Dic59C2411yescharacteristic
718Dic59⋊C4—21no—
719Dic59⋊C4—21no—
720Dic59⋊C4—21no—
721Dic59⋊C4—21no—
722C4×Dic59—21no—
723C4×Dic59—21no—
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—41no—
735#11745660—41no—
736#11745659—41no—
737#11745659—41no—
738#11745659—41no—
739#11745659—41no—
740C8×D59—41no—
741C8×D59—41no—
742C8×D59—41no—
743C8×D59—41no—
744C23×C59—21no—
745C23×C59—21no—
746C23×C59—21no—
747C23×C59C22×D411yescharacteristic
748C22×D59—22no—
749C22×D59—21no—
750C22×D59—21no—
751C22×D59—21no—
752C22×D59—21no—
753C22×D59—21no—
754C22×D59—41no—
755C22×D59—41no—
756C22×D59—42no—
757C22×D59—42no—
758C22×D59—42no—
759C22×D59—42no—
760C22×D59—42no—
761C22×D59—42no—
762C22×D59—42no—
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×D59—81no—
772C22×D59—81no—
773C22×D59—81no—
774C22×D59—81no—
775C22×D59—81no—
776C22×D59—81no—
777C22×D59—81no—
778C22×D59—81no—
779C22×D59—81no—
780C22×D59C22×D411yescharacteristic
781C22×D59C22×D411yescharacteristic
782C22×D59C22×D411yescharacteristic
783C22×D59C22×D411yescharacteristic
784Q8×C59—21no—
785Q8×C59H(5,𝔽2)12yes—
786D4×C59—24no—
787D4×C59—21no—
788D4×C59—21no—
789D4×C59—21no—
790D4×C59—21no—
791D4×C59—21no—
792D4×C59—81no—
793D4×C59—81no—
794D4×C59—81no—
795D4×C59—81no—
796D4×C59H(5,𝔽2)12yes—
797C2×C4×C59—24no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—21no—
801C2×C4×C59—21no—
802C2×C4×C59—21no—
803C2×C4×C59—21no—
804C2×C4×C59—21no—
805C2×C4×C59—81no—
806C2×C4×C59—81no—
807C2×C4×C59—81no—
808C2×C4×C59—81no—
809C2×C4×C59—81no—
810C2×C4×C59C22×D411yescharacteristic
811C2×C4×C59C22×D411yescharacteristic
812C2×C4×C59C22×D411yescharacteristic
813C2×C4×C59C22×D411yescharacteristic
814C2×C4×C59C22×D411yescharacteristic
815C2×C4×C59C2511yescharacteristic
816C22⋊D59—41no—
817C22⋊D59—41no—
818C22⋊D59—42no—
819C22⋊D59—42no—
820C22⋊D59—42no—
821C22⋊D59—42no—
822C22⋊D59—42no—
823C22⋊D59—42no—
824C22⋊D59—42no—
825C22⋊D59—81no—
826C22⋊D59—81no—
827C22⋊D59—81no—
828C22⋊D59—81no—
829C22⋊D59—81no—
830C22⋊D59—81no—
831C22⋊D59—81no—
832C22⋊D59—81no—
833C2×Dic59—21no—
834C2×Dic59—21no—
835C2×Dic59—21no—
836C2×Dic59—41no—
837C2×Dic59—42no—
838C2×Dic59C22×D411yescharacteristic
839C2×Dic59C22×D411yescharacteristic
840C2×Dic59C22×D411yescharacteristic
841C2×Dic59C22×D411yescharacteristic
842D236—22no—
843D236—22no—
844D236—21no—
845D236—21no—
846D236—21no—
847D236—21no—
848D236—21no—
849D236—21no—
850D236—21no—
851D236—21no—
852D236—21no—
853D236—21no—
854D236—41no—
855D236—41no—
856D236—41no—
857D236—42no—
858D236—42no—
859D236—42no—
860D236—42no—
861D236—42no—
862D236—42no—
863D236—42no—
864D236—42no—
865D236—81no—
866D236—81no—
867D236—81no—
868D236—81no—
869D236—81no—
870D236—81no—
871D236—81no—
872D236—81no—
873D236—81no—
874D236—81no—
875D236—81no—
876D236—81no—
877C4×D59—21no—
878C4×D59—21no—
879C4×D59—21no—
880C4×D59—21no—
881C4×D59—21no—
882C4×D59—21no—
883C4×D59—21no—
884C4×D59—21no—
885C4×D59—41no—
886C4×D59—41no—
887C4×D59—42no—
888C4×D59—42no—
889C4×D59—42no—
890C4×D59—42no—
891C4×D59—42no—
892C4×D59—81no—
893C4×D59—81no—
894C4×D59—81no—
895C4×D59—81no—
896Dic118—21no—
897Dic118—21no—
898Dic118—41no—
899Dic118—42no—
900C8×C59—21no—
901C8×C59—21no—
902C8×C59—21no—
903C8×C59—21no—
904C59⋊C8—21no—
905C59⋊C8—21no—
906C59⋊C8—21no—
907C59⋊C8—21no—
908#61617—591nomaximal, Sylow
909C22×C59—21no—
910C22×C59—21no—
911C22×C59—22no—
912C22×C59—21no—
913C22×C59—41no—
914C22×C59—41no—
915C22×C59—41no—
916C22×C59—41no—
917C22×C59—41no—
918C22×C59—41no—
919C22×C59—41no—
920C22×C59—41no—
921C22×C59C23×D411yescharacteristic
922C2×D59—21no—
923C2×D59—21no—
924C2×D59—21no—
925C2×D59—21no—
926C2×D59—21no—
927C2×D59—21no—
928C2×D59—21no—
929C2×D59—21no—
930C2×D59—21no—
931C2×D59—21no—
932C2×D59—21no—
933C2×D59—41no—
934C2×D59—41no—
935C2×D59—41no—
936C2×D59—41no—
937C2×D59—41no—
938C2×D59—41no—
939C2×D59—41no—
940C2×D59—41no—
941C2×D59—41no—
942C2×D59—41no—
943C2×D59—41no—
944C2×D59—41no—
945C2×D59—41no—
946C2×D59—41no—
947C2×D59—41no—
948C2×D59—82no—
949C2×D59—84no—
950C2×D59—162no—
951C2×D59—162no—
952C2×D59—162no—
953C2×D59—162no—
954C2×D59—162no—
955C2×D59—162no—
956C2×D59—162no—
957C2×D59#57612yes—
958C4×C59—21no—
959C4×C59—21no—
960C4×C59—21no—
961C4×C59—22no—
962C4×C59—21no—
963C4×C59—21no—
964C4×C59—41no—
965C4×C59—41no—
966C4×C59—41no—
967C4×C59—41no—
968C4×C59C2×H(5,𝔽2)11yescharacteristic
969C4×C59C2×H(5,𝔽2)11yescharacteristic
970Dic59—21no—
971Dic59—21no—
972Dic59—21no—
973Dic59—21no—
974Dic59—41no—
975Dic59—41no—
976Dic59—41no—
977#3537—591no—
978#3488—591no—
979#3322—591no—
980#3322—591no—
981#3318—591no—
982#3318—591no—
983#3309—591no—
984#3309—591no—
985#3301—591no—
986#3301—591no—
987D4×D8—591no—
988D4×D8—591no—
989#3274—591no—
990#3274—591no—
991#3265—591no—
992#3265—591no—
993#3264—591no—
994#3264—591no—
995#3220—591no—
996#3220—591no—
997#3198—591no—
998#3198—591no—
999#3192—591no—
1000#3186—591no—
1001#3119—591no—
1002#3119D5911yescharacteristic, complemented
1003#3008—591no—
1004#3008—591no—
1005#3006—591no—
1006C2×#449—591no—
1007#2976—591no—
1008C2×C59—41no—
1009C2×C59—42no—
1010C2×C59—81no—
1011C2×C59—81no—
1012C2×C59#348411yescharacteristic
1013C2×C59C2×#57611yescharacteristic
1014C2×C59#358511yescharacteristic
1015D59—22no—
1016D59—41no—
1017D59—41no—
1018D59—41no—
1019D59—81no—
1020D59—81no—
1021D59—81no—
1022D59—81no—
1023D59—81no—
1024C2×H(5,𝔽2)—591no—
1025C22×#41—591no—
1026C2×AGL(1,ℤ/8)—591no—
1027C2×AGL(1,ℤ/8)—591no—
1028C2×AGL(1,ℤ/8)—591no—
1029C2×AGL(1,ℤ/8)—591no—
1030C22×SD16—591no—
1031C22×D8—591no—
1032C22×D8—591no—
1033C22×D8—591no—
1034#560—1181no—
1035#560—1181no—
1036#553—591no—
1037#553—591no—
1038#553—591no—
1039#553—591no—
1040#550—591no—
1041#550—591no—
1042#548—591no—
1043#548—591no—
1044#546—591no—
1045#546—591no—
1046#546—1181no—
1047#546—1181no—
1048D42—591no—
1049D42—591no—
1050D42—591no—
1051D42—591no—
1052D42—591no—
1053D42—591no—
1054D42—1181no—
1055D42—1181no—
1056D42—1181no—
1057D42—1181no—
1058#540—591no—
1059#540C2×D5911yescharacteristic, complemented
1060#538—1181no—
1061#538—1181no—
1062#537—591no—
1063#537—1181no—
1064#535—591no—
1065#535—591no—
1066#535—591no—
1067#535—1181no—
1068#534—1181no—
1069#534—1181no—
1070#525—591no—
1071#525—1181no—
1072C2×#121—591no—
1073C2×#121—591no—
1074C2×#121—591no—
1075C2×#121—1181no—
1076#520C2×D5911yescharacteristic, complemented
1077#496—591no—
1078#496—591no—
1079#493—591no—
1080#493—591no—
1081#490—591no—
1082#490—591no—
1083#488—591no—
1084#488—591no—
1085#485—591no—
1086#485—591no—
1087#482—591no—
1088#482—591no—
1089#481—591no—
1090#481—591no—
1091#481—591no—
1092#481C2×D5911yescharacteristic, complemented
1093#480—591no—
1094#480—591no—
1095#480—591no—
1096#480C2×D5911yescharacteristic, complemented
1097#479—591no—
1098#479C2×D5911yescharacteristic, complemented
1099#478—591no—
1100#478C2×D5911yescharacteristic, complemented
1101#469—591no—
1102#469—591no—
1103#469—591no—
1104#469—591no—
1105#469—591no—
1106#469—591no—
1107#468—591no—
1108#468—591no—
1109#466—591no—
1110#466—591no—
1111#466—591no—
1112#466—591no—
1113#466—591no—
1114#466—591no—
1115#465—591no—
1116#465—591no—
1117#463—591no—
1118#463—591no—
1119#463—591no—
1120#463—591no—
1121#460—591no—
1122#460C2×D5911yescharacteristic, complemented
1123#459—591no—
1124#459—591no—
1125#459—591no—
1126#459—591no—
1127#459—591no—
1128#459C2×D5911yescharacteristic, complemented
1129#450—591no—
1130#450—591no—
1131#449—591no—
1132#449—591no—
1133#449—591no—
1134#449—591no—
1135#449—591no—
1136#449—591no—
1137#449—591no—
1138#449—591no—
1139#449—591no—
1140#449—591no—
1141#449—591no—
1142#449—591no—
1143#449—591no—
1144#449—591no—
1145#449C2×D5911yescharacteristic, complemented
1146#449C2×D5911yescharacteristic, complemented
1147#448—591no—
1148#448—591no—
1149#447—591no—
1150#447—591no—
1151#447—591no—
1152#447—591no—
1153#447—591no—
1154#447—591no—
1155#447—591no—
1156#447—591no—
1157#447—591no—
1158#447—591no—
1159#447—591no—
1160#447—591no—
1161#447—591no—
1162#447—591no—
1163#447—591no—
1164#447—591no—
1165#442—591no—
1166#442C2×D5911yescharacteristic, complemented
1167#440—591no—
1168#440C2×D5911yescharacteristic, complemented
1169C4×SD16—591no—
1170C4×SD16C2×D5911yescharacteristic, complemented
1171C4×D8—591no—
1172C4×D8C2×D5911yescharacteristic, complemented
1173#436—591no—
1174#436—591no—
1175#435—591no—
1176#435—591no—
1177#435—591no—
1178#435—591no—
1179C8×D4—591no—
1180C8×D4—591no—
1181#433—591no—
1182#433C2×D5911yescharacteristic, complemented
1183#418—591no—
1184#418—591no—
1185#417—591no—
1186#417—591no—
1187#416—591no—
1188#416—591no—
1189C2×#103—591no—
1190C2×#102—591no—
1191#408—591no—
1192#408—591no—
1193#407—591no—
1194C2×C22⋊C8—591no—
1195C59#6161711yescharacteristic, complemented, Sylow
1196H(5,𝔽2)—2362no—
1197H(5,𝔽2)—2362no—
1198C2×#41—591no—
1199C2×#41—591no—
1200C2×#41—591no—
1201C2×#41—591no—
1202C2×#41—591no—
1203C2×#41—591no—
1204C2×#41—1181no—
1205C2×#41—1181no—
1206C2×#41—1181no—
1207C2×#41—2362no—
1208C2×#41—2362no—
1209C2×#41C22×D5911yescharacteristic
1210C22×Q8—591no—
1211C22×D4—591no—
1212C22×D4—591no—
1213C22×D4—591no—
1214C22×D4—591no—
1215C22×D4—591no—
1216C22×D4—591no—
1217C22×D4—591no—
1218C22×D4—591no—
1219C22×D4—1181no—
1220C22×D4—1181no—
1221C22×D4—1181no—
1222C22×D4—1181no—
1223C22×D4—1181no—
1224C22×D4—1181no—
1225C22×D4—1181no—
1226C22×D4—1181no—
1227C22×D4—1181no—
1228C22×D4—1181no—
1229C22×D4—1181no—
1230C22×D4—1181no—
1231C22×D4—1181no—
1232C23×C4—591no—
1233C23×C4—1181no—
1234AGL(1,ℤ/8)—2362no—
1235AGL(1,ℤ/8)—2362no—
1236AGL(1,ℤ/8)—2362no—
1237AGL(1,ℤ/8)—2362no—
1238C2×SD16—591no—
1239C2×SD16—591no—
1240C2×SD16—591no—
1241C2×SD16—591no—
1242C2×SD16—591no—
1243C2×SD16—591no—
1244C2×SD16—2362no—
1245C2×SD16C22×D5911yescharacteristic
1246C2×SD16C22×D5911yescharacteristic
1247C2×D8—591no—
1248C2×D8—591no—
1249C2×D8—591no—
1250C2×D8—591no—
1251C2×D8—591no—
1252C2×D8—591no—
1253C2×D8—591no—
1254C2×D8—591no—
1255C2×D8—591no—
1256C2×D8—591no—
1257C2×D8—591no—
1258C2×D8—591no—
1259C2×D8—591no—
1260C2×D8—591no—
1261C2×D8—2362no—
1262C2×D8—2362no—
1263C2×D8—2362no—
1264C2×D8C22×D5911yescharacteristic
1265C2×D8C22×D5911yescharacteristic
1266C2×M16—591no—
1267C2×M16—591no—
1268C2×M16—591no—
1269C2×M16—591no—
1270C22×C8—591no—
1271C22×C8—591no—
1272C22×C8—591no—
1273C22×C8—591no—
1274#127—591no—
1275#127—591no—
1276#127—591no—
1277#127—1181no—
1278#127—1181no—
1279#127—1181no—
1280#127—1181no—
1281#127C22×D5911yescharacteristic
1282#126—1181no—
1283#126—1181no—
1284#126—1181no—
1285#126—1181no—
1286#125—591no—
1287#125C22×D5911yescharacteristic
1288#124—591no—
1289#124—591no—
1290#124—1181no—
1291#124—1181no—
1292#124—1181no—
1293#124—1181no—
1294#123—21no—
1295#123—21no—
1296#123—591no—
1297#123—591no—
1298#123—1181no—
1299#123—1181no—
1300#123—1181no—
1301#123—1181no—
1302#123—1181no—
1303#123—1181no—
1304#123—1181no—
1305#123—1181no—
1306C22⋊Q8—591no—
1307C22⋊Q8—591no—
1308C22⋊Q8—591no—
1309C22⋊Q8—591no—
1310C22⋊Q8—1181no—
1311C22⋊Q8—1181no—
1312C22⋊Q8—1181no—
1313#121—21no—
1314#121—21no—
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—591no—
1328#121—591no—
1329#121—591no—
1330#121—591no—
1331#121—591no—
1332#121—591no—
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#121—1181no—
1351#121—1181no—
1352#121—1181no—
1353#121—1181no—
1354#121—1181no—
1355#121—1181no—
1356#121—1181no—
1357#121—1181no—
1358#121—1181no—
1359#121—1181no—
1360#121—1181no—
1361#121—1181no—
1362#121—1181no—
1363#121—1181no—
1364#121C22×D5911yescharacteristic
1365#121C22×D5911yescharacteristic
1366#120—591no—
1367#120—591no—
1368#120—1181no—
1369#120—1181no—
1370#120—1181no—
1371#120—1181no—
1372#120—1181no—
1373#120—1181no—
1374#120—1181no—
1375#120—1181no—
1376#120—1181no—
1377#120—1181no—
1378#120—1181no—
1379#120—1181no—
1380#120—1181no—
1381#120—1181no—
1382#120—1181no—
1383#120—1181no—
1384#120—1181no—
1385#120—1181no—
1386#120—1181no—
1387#120—1181no—
1388C4×Q8C22×D5911yescharacteristic
1389C4×Q8C22×D5911yescharacteristic
1390C4×D4—21no—
1391C4×D4—21no—
1392C4×D4—591no—
1393C4×D4—591no—
1394C4×D4—591no—
1395C4×D4—591no—
1396C4×D4—591no—
1397C4×D4—591no—
1398C4×D4—1181no—
1399C4×D4—1181no—
1400C4×D4—1181no—
1401C4×D4—1181no—
1402C4×D4—1181no—
1403C4×D4—1181no—
1404C4×D4—1181no—
1405C4×D4—1181no—
1406C4×D4C22×D5911yescharacteristic
1407C4×D4C22×D5911yescharacteristic
1408C4×D4C22×D5911yescharacteristic
1409C4×D4C22×D5911yescharacteristic
1410#117—21no—
1411#117—591no—
1412#117—591no—
1413#117C22×D5911yescharacteristic
1414C2×C4⋊C4—21no—
1415C2×C4⋊C4—591no—
1416C2×C4⋊C4—591no—
1417C2×C4⋊C4C22×D5911yescharacteristic
1418C2×C22⋊C4—1181no—
1419C2×C22⋊C4—1181no—
1420C2×C22⋊C4—1181no—
1421C2×C22⋊C4—1181no—
1422C2×C22⋊C4—1181no—
1423#107—591no—
1424#107—591no—
1425#107C22×D5911yescharacteristic
1426#107C22×D5911yescharacteristic
1427#106—591no—
1428#106—591no—
1429#106C22×D5911yescharacteristic
1430#106C22×D5911yescharacteristic
1431C4⋊C8—591no—
1432C4⋊C8—591no—
1433C4⋊C8C22×D5911yescharacteristic
1434C4⋊C8C22×D5911yescharacteristic
1435#103—591no—
1436#103—591no—
1437#103—591no—
1438#103—591no—
1439#103—591no—
1440#103—591no—
1441#103C22×D5911yescharacteristic
1442#103C22×D5911yescharacteristic
1443#102—591no—
1444#102—591no—
1445#102—591no—
1446#102—591no—
1447#102—591no—
1448#102—591no—
1449#102—591no—
1450#102—591no—
1451#102—591no—
1452#102—591no—
1453#102—591no—
1454#102—591no—
1455#102—591no—
1456#102—591no—
1457#102—591no—
1458#102—591no—
1459#102—591no—
1460#102—591no—
1461#102C22×D5911yescharacteristic
1462#102C22×D5911yescharacteristic
1463#102C22×D5911yescharacteristic
1464#102C22×D5911yescharacteristic
1465#102C22×D5911yescharacteristic
1466#102C22×D5911yescharacteristic
1467C22⋊C8—591no—
1468C22⋊C8—591no—
1469C22⋊C8—591no—
1470C22⋊C8—591no—
1471C22⋊C8—591no—
1472C22⋊C8—591no—
1473C22⋊C8—591no—
1474C22⋊C8—591no—
1475C22⋊C8—591no—
1476C22⋊C8—591no—
1477C22⋊C8C22×D5911yescharacteristic
1478C22⋊C8C22×D5911yescharacteristic
1479#97—591no—
1480#97C22×D5911yescharacteristic
1481C4×C8—591no—
1482C4×C8C22×D5911yescharacteristic
1483C24—591no—
1484C24—1181no—
1485C24—1181no—
1486C24—1181no—
1487C24—1181no—
1488C24—1181no—
1489C24—1181no—
1490C24—1181no—
1491C24—1181no—
1492#41—22no—
1493#41—22no—
1494#41—1182no—
1495#41—1182no—
1496#41—1182no—
1497#41—1182no—
1498#41—2361no—
1499#41—2361no—
1500#41—2361no—
1501#41—2361no—
1502#41—2364no—
1503#41—2364no—
1504#41—2361no—
1505#41—2361no—
1506#41—2361no—
1507#41—2361no—
1508#41—2364no—
1509C2×Q8—591no—
1510C2×Q8—591no—
1511C2×Q8—1181no—
1512C2×Q8—1182no—
1513C2×Q8—2361no—
1514C2×Q8C23×D5911yescharacteristic
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—591no—
1521C2×D4—591no—
1522C2×D4—591no—
1523C2×D4—591no—
1524C2×D4—591no—
1525C2×D4—591no—
1526C2×D4—591no—
1527C2×D4—591no—
1528C2×D4—591no—
1529C2×D4—591no—
1530C2×D4—591no—
1531C2×D4—591no—
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—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—1182no—
1553C2×D4—1182no—
1554C2×D4—1182no—
1555C2×D4—1181no—
1556C2×D4—1181no—
1557C2×D4—1181no—
1558C2×D4—1181no—
1559C2×D4—1181no—
1560C2×D4—1181no—
1561C2×D4—1181no—
1562C2×D4—1181no—
1563C2×D4—1181no—
1564C2×D4—1181no—
1565C2×D4—1181no—
1566C2×D4—1181no—
1567C2×D4—1181no—
1568C2×D4—1181no—
1569C2×D4—1181no—
1570C2×D4—4722no—
1571C2×D4—4722no—
1572C2×D4—4722no—
1573C2×D4—4722no—
1574C2×D4—4722no—
1575C2×D4—4722no—
1576C2×D4—4722no—
1577C2×D4—4722no—
1578C2×D4—4722no—
1579C2×D4—2361no—
1580C2×D4—2361no—
1581C2×D4—2364no—
1582C2×D4—2361no—
1583C2×D4—2361no—
1584C2×D4—2361no—
1585C2×D4—2361no—
1586C2×D4—2361no—
1587C2×D4—2361no—
1588C2×D4—2361no—
1589C2×D4—2361no—
1590C2×D4—2361no—
1591C2×D4—2361no—
1592C2×D4—2361no—
1593C2×D4—2364no—
1594C2×D4—2364no—
1595C2×D4—2364no—
1596C2×D4C23×D5911yescharacteristic
1597C2×D4C23×D5911yescharacteristic
1598C2×D4C23×D5911yescharacteristic
1599C22×C4—21no—
1600C22×C4—21no—
1601C22×C4—21no—
1602C22×C4—21no—
1603C22×C4—21no—
1604C22×C4—21no—
1605C22×C4—591no—
1606C22×C4—591no—
1607C22×C4—591no—
1608C22×C4—591no—
1609C22×C4—591no—
1610C22×C4—591no—
1611C22×C4—591no—
1612C22×C4—1181no—
1613C22×C4—1181no—
1614C22×C4—1181no—
1615C22×C4—1181no—
1616C22×C4—1181no—
1617C22×C4—1181no—
1618C22×C4—1181no—
1619C22×C4—1181no—
1620C22×C4—1181no—
1621C22×C4—1181no—
1622C22×C4—2361no—
1623C22×C4—2361no—
1624C22×C4—2364no—
1625C22×C4C23×D5911yescharacteristic
1626SD16—22no—
1627SD16—22no—
1628SD16—1182no—
1629SD16—1182no—
1630SD16—2361no—
1631SD16—2361no—
1632SD16—2361no—
1633SD16—2361no—
1634D8—22no—
1635D8—22no—
1636D8—1182no—
1637D8—1182no—
1638D8—2361no—
1639D8—2361no—
1640D8—2361no—
1641D8—2361no—
1642D8—2361no—
1643D8—2361no—
1644D8—2361no—
1645D8—2361no—
1646D8—2361no—
1647D8—2361no—
1648D8—2361no—
1649D8—2361no—
1650M16—2361no—
1651M16—2361no—
1652M16—2361no—
1653M16—2361no—
1654C2×C8—591no—
1655C2×C8—591no—
1656C2×C8—591no—
1657C2×C8—591no—
1658C2×C8—2361no—
1659C2×C8—2361no—
1660C2×C8—2361no—
1661C2×C8—2361no—
1662C2×C8C23×D5911yescharacteristic
1663C2×C8C23×D5911yescharacteristic
1664C2×C8C23×D5911yescharacteristic
1665C2×C8C23×D5911yescharacteristic
1666C4⋊C4—21no—
1667C4⋊C4—21no—
1668C4⋊C4—21no—
1669C4⋊C4—21no—
1670C4⋊C4—21no—
1671C4⋊C4—591no—
1672C4⋊C4—591no—
1673C4⋊C4—591no—
1674C4⋊C4—591no—
1675C4⋊C4—591no—
1676C4⋊C4—591no—
1677C4⋊C4—1181no—
1678C4⋊C4—1181no—
1679C4⋊C4—1181no—
1680C4⋊C4—1181no—
1681C4⋊C4—1181no—
1682C4⋊C4—1181no—
1683C4⋊C4D4×D5911yescharacteristic
1684C4⋊C4D4×D5911yescharacteristic
1685C4⋊C4C23×D5911yescharacteristic
1686C4⋊C4C23×D5911yescharacteristic
1687C4⋊C4C23×D5911yescharacteristic
1688C4⋊C4C23×D5911yescharacteristic
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—591no—
1696C22⋊C4—591no—
1697C22⋊C4—591no—
1698C22⋊C4—591no—
1699C22⋊C4—591no—
1700C22⋊C4—591no—
1701C22⋊C4—591no—
1702C22⋊C4—591no—
1703C22⋊C4—1181no—
1704C22⋊C4—1181no—
1705C22⋊C4—1181no—
1706C22⋊C4—1181no—
1707C22⋊C4—1181no—
1708C22⋊C4—1181no—
1709C22⋊C4—1181no—
1710C22⋊C4—1181no—
1711C22⋊C4—1181no—
1712C22⋊C4—1181no—
1713C22⋊C4—1181no—
1714C22⋊C4—1181no—
1715C22⋊C4—1181no—
1716C22⋊C4—1181no—
1717C22⋊C4—1181no—
1718C22⋊C4—1181no—
1719C22⋊C4—1181no—
1720C22⋊C4—1181no—
1721C22⋊C4—1181no—
1722C22⋊C4—1181no—
1723C22⋊C4—1181no—
1724C22⋊C4—1181no—
1725C22⋊C4—1181no—
1726C22⋊C4—1181no—
1727C22⋊C4—1181no—
1728C22⋊C4—1181no—
1729C22⋊C4D4×D5911yescharacteristic
1730C22⋊C4D4×D5911yescharacteristic
1731C42—21no—
1732C42—21no—
1733C42—1181no—
1734C42—1181no—
1735C42C23×D5911yescharacteristic
1736C42C23×D5911yescharacteristic
1737C23—21no—
1738C23—21no—
1739C23—21no—
1740C23—591no—
1741C23—591no—
1742C23—591no—
1743C23—591no—
1744C23—1182no—
1745C23—1181no—
1746C23—1181no—
1747C23—1181no—
1748C23—1181no—
1749C23—1181no—
1750C23—4721no—
1751C23—4721no—
1752C23—4721no—
1753C23—4721no—
1754C23—4721no—
1755C23—4721no—
1756C23—4721no—
1757C23—4721no—
1758C23—4721no—
1759C23—4721no—
1760C23—4721no—
1761C23—4721no—
1762C23—4721no—
1763C23—4721no—
1764C23—4721no—
1765C23—4721no—
1766C23—4721no—
1767C23—2361no—
1768C23—2361no—
1769C23—2362no—
1770C23—2362no—
1771C23—2362no—
1772C23—2362no—
1773C23—2362no—
1774C23—2362no—
1775C23—2362no—
1776C23C2×D4×D5911yescharacteristic
1777Q8—21no—
1778Q8—1181no—
1779Q8—1181no—
1780Q8—2361no—
1781Q8—2362no—
1782Q8#1427377312yes—
1783D4—24no—
1784D4—21no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—81no—
1790D4—81no—
1791D4—81no—
1792D4—81no—
1793D4—1182no—
1794D4—1182no—
1795D4—1181no—
1796D4—1181no—
1797D4—1181no—
1798D4—1181no—
1799D4—1181no—
1800D4—1181no—
1801D4—1181no—
1802D4—1181no—
1803D4—1181no—
1804D4—1181no—
1805D4—4721no—
1806D4—4721no—
1807D4—4721no—
1808D4—4721no—
1809D4—4721no—
1810D4—4721no—
1811D4—4721no—
1812D4—4721no—
1813D4—4721no—
1814D4—4721no—
1815D4—4721no—
1816D4—4721no—
1817D4—4721no—
1818D4—4721no—
1819D4—4721no—
1820D4—4721no—
1821D4—4721no—
1822D4—4721no—
1823D4—4721no—
1824D4—4721no—
1825D4—2361no—
1826D4—2361no—
1827D4—2361no—
1828D4—2362no—
1829D4—2362no—
1830D4—2362no—
1831D4—2362no—
1832D4—2362no—
1833D4—2362no—
1834D4—2362no—
1835D4—2362no—
1836D4—2361no—
1837D4—2361no—
1838D4—2362no—
1839D4—2362no—
1840D4—2362no—
1841D4—2362no—
1842D4—2362no—
1843D4—2362no—
1844D4—2362no—
1845D4#1427377312yes—
1846C2×C4—24no—
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—81no—
1855C2×C4—81no—
1856C2×C4—81no—
1857C2×C4—81no—
1858C2×C4—81no—
1859C2×C4—591no—
1860C2×C4—591no—
1861C2×C4—591no—
1862C2×C4—591no—
1863C2×C4—1181no—
1864C2×C4—1181no—
1865C2×C4—1181no—
1866C2×C4—1181no—
1867C2×C4—1181no—
1868C2×C4—1181no—
1869C2×C4—1181no—
1870C2×C4—1181no—
1871C2×C4—1181no—
1872C2×C4—1181no—
1873C2×C4—1181no—
1874C2×C4—4721no—
1875C2×C4—4721no—
1876C2×C4—4721no—
1877C2×C4—4721no—
1878C2×C4—2361no—
1879C2×C4—2361no—
1880C2×C4—2362no—
1881C2×C4—2362no—
1882C2×C4—2362no—
1883C2×C4—2362no—
1884C2×C4—2362no—
1885C2×C4—2361no—
1886C2×C4—2362no—
1887C2×C4C2×D4×D5911yescharacteristic
1888C2×C4C2×D4×D5911yescharacteristic
1889C2×C4C2×D4×D5911yescharacteristic
1890C2×C4C2×D4×D5911yescharacteristic
1891C2×C4C2×D4×D5911yescharacteristic
1892C2×C4C24×D5911yescharacteristic
1893C8—21no—
1894C8—21no—
1895C8—21no—
1896C8—21no—
1897C8—1181no—
1898C8—1181no—
1899C8—1181no—
1900C8—1181no—
1901C22—21no—
1902C22—22no—
1903C22—21no—
1904C22—21no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—592no—
1914C22—1181no—
1915C22—1181no—
1916C22—1181no—
1917C22—1181no—
1918C22—1181no—
1919C22—1181no—
1920C22—1181no—
1921C22—1181no—
1922C22—1181no—
1923C22—1181no—
1924C22—1181no—
1925C22—9442no—
1926C22—9442no—
1927C22—9442no—
1928C22—9442no—
1929C22—9442no—
1930C22—9442no—
1931C22—9442no—
1932C22—4724no—
1933C22—4722no—
1934C22—2361no—
1935C22—2361no—
1936C22—2361no—
1937C22—2361no—
1938C22—2361no—
1939C22—2361no—
1940C22—2361no—
1941C22—2361no—
1942C22—2361no—
1943C22—2361no—
1944C22—2361no—
1945C22—2361no—
1946C22—2361no—
1947C22—2361no—
1948C22—2361no—
1949C22C22×D4×D5911yescharacteristic
1950C4—21no—
1951C4—22no—
1952C4—21no—
1953C4—21no—
1954C4—21no—
1955C4—21no—
1956C4—41no—
1957C4—41no—
1958C4—41no—
1959C4—41no—
1960C4—1181no—
1961C4—1181no—
1962C4—1181no—
1963C4—1181no—
1964C4—2361no—
1965C4—2361no—
1966C4—2361no—
1967C4C2×#1427377311yescharacteristic
1968C4C2×#1427377311yescharacteristic
1969C2—41no—
1970C2—42no—
1971C2—81no—
1972C2—81no—
1973C2—1182no—
1974C2—4721no—
1975C2—4721no—
1976C2—4721no—
1977C2—4721no—
1978C2—4721no—
1979C2—2361no—
1980C2—2361no—
1981C2—2361no—
1982C2#2143772911yescharacteristic
1983C2#576×D5911yescharacteristic
1984C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3119C2
socleC22×C59C23×D4
hypercenter#3119D59
hypocenterC59#61617
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3119

Complements

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

NH ≅ G/Ntype
1. #21438334C2semidirect
2. #21437766C2semidirect
3. #21436302C2semidirect
4. #21436294C2semidirect
5. #21436242C2semidirect
6. #21436234C2semidirect
7. #21436107C2semidirect
8. #21436099C2semidirect
9. #21436003C2semidirect
10. #21435995C2semidirect
11. D8×D236C2semidirect
12. #21435768C2semidirect
13. #21435717C2semidirect
14. #21435711C2semidirect
15. #21435593C2semidirect
16. #21435586C2semidirect
17. #21435578C2semidirect
18. #21435571C2semidirect
19. #21435148C2semidirect
20. #21435140C2semidirect
21. #21434955C2semidirect
22. #21434953C2semidirect
23. #21434895C2semidirect
24. #21434846C2semidirect
25. #21434295C2semidirect
26. #21433361C2semidirect
27. #21433361C2semidirect
28. #21433345C2semidirect
29. #449×D59C2semidirect
30. #21433142C2semidirect
31. C59×#3119C2semidirect
32. C2×#14273773C22semidirect
33. C2×#41×D59C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273754C22semidirect
37. C2×#14273751C22semidirect
38. C2×SD16×D59C22semidirect
39. C2×D8×D59C22semidirect
40. C2×D8×D59C22semidirect
41. C2×D8×D59C22semidirect
44. #16838105C22semidirect
45. #16838105C22semidirect
46. #16838102C22semidirect
47. #16838102C22semidirect
48. #16838074C22semidirect
49. #16838074C22semidirect
50. #16838064C22semidirect
51. #16838064C22semidirect
54. #16838047C22semidirect
55. #16838047C22semidirect
58. D4×D236C22semidirect
59. D4×D236C22semidirect
60. D4×D236C22semidirect
61. D4×D236C22semidirect
62. #16838037C22semidirect
63. #16838037C22semidirect
66. #16838007C22semidirect
70. #16837983C22semidirect
72. #16837971C22semidirect
73. #16837968C22semidirect
74. #16837968C22semidirect
80. C2×#14273702C22semidirect
81. #121×D59C22semidirect
82. #121×D59C22semidirect
83. #16837791C22semidirect
84. #16837789C22semidirect
85. #16837779C22semidirect
86. #16837778C22semidirect
87. #16837768C22semidirect
88. #16837767C22semidirect
89. #16837759C22semidirect
90. #16837757C22semidirect
91. #16837746C22semidirect
92. #16837745C22semidirect
93. #16837729C22semidirect
94. #16837728C22semidirect
95. #16837722C22semidirect
96. #16837722C22semidirect
97. #16837720C22semidirect
98. #16837717C22semidirect
99. #16837717C22semidirect
100. #16837715C22semidirect
101. #16837709C22semidirect
102. #16837702C22semidirect
103. #16837656C22semidirect
104. #16837656C22semidirect
105. #16837656C22semidirect
106. #16837654C22semidirect
107. #16837654C22semidirect
108. #16837654C22semidirect
109. #16837649C22semidirect
110. #16837647C22semidirect
111. #16837639C22semidirect
112. #16837639C22semidirect
113. #16837639C22semidirect
114. #16837637C22semidirect
115. #16837637C22semidirect
116. #16837637C22semidirect
117. #16837632C22semidirect
118. #16837630C22semidirect
119. #16837618C22semidirect
120. #16837618C22semidirect
121. #16837617C22semidirect
122. #16837617C22semidirect
123. #16837602C22semidirect
124. #16837598C22semidirect
125. #16837598C22semidirect
126. #16837597C22semidirect
127. #16837597C22semidirect
128. #16837597C22semidirect
129. #16837554C22semidirect
130. #16837554C22semidirect
131. #16837550C22semidirect
132. #16837550C22semidirect
133. #16837550C22semidirect
134. #16837549C22semidirect
135. #16837549C22semidirect
136. #16837548C22semidirect
137. #16837547C22semidirect
138. #16837547C22semidirect
139. #16837546C22semidirect
140. #16837546C22semidirect
141. #16837546C22semidirect
142. #16837545C22semidirect
143. #16837545C22semidirect
144. #16837544C22semidirect
145. #16837542C22semidirect
146. #16837539C22semidirect
147. #16837538C22semidirect
148. #16837538C22semidirect
149. #16837537C22semidirect
150. #16837537C22semidirect
151. #16837537C22semidirect
152. #16837537C22semidirect
153. #16837537C22semidirect
154. #16837537C22semidirect
155. #16837537C22semidirect
156. #16837537C22semidirect
157. #16837537C22semidirect
158. #16837535C22semidirect
159. #16837535C22semidirect
160. #16837534C22semidirect
161. #16837534C22semidirect
162. #16837534C22semidirect
163. #16837512C22semidirect
164. #16837500C22semidirect
165. C4×#11745671C22semidirect
166. C4×#11745669C22semidirect
167. #16837481C22semidirect
168. #16837479C22semidirect
169. #16837475C22semidirect
170. #16837475C22semidirect
171. #16837472C22semidirect
172. #16837472C22semidirect
173. C8×D236C22semidirect
174. #16837467C22semidirect
175. #16837463C22semidirect
176. #16837405C22semidirect
177. #16837405C22semidirect
178. #16837402C22semidirect
179. #16837400C22semidirect
180. #16837397C22semidirect
181. #16837397C22semidirect
182. #103×D59C22semidirect
183. #102×D59C22semidirect
184. #16837367C22semidirect
185. #16837367C22semidirect
186. #16837364C22semidirect
187. C22⋊C8×D59C22semidirect
188. C59×#540C22semidirect
189. C59×#520C22semidirect
190. C59×#481C22semidirect
191. C59×#480C22semidirect
192. C59×#479C22semidirect
193. C59×#478C22semidirect
194. C59×#460C22semidirect
195. C59×#459C22semidirect
196. C59×#449C22semidirect
197. C59×#449C22semidirect
198. C59×#442C22semidirect
199. C59×#440C22semidirect
200. C4×SD16×C59C22semidirect
201. C4×D8×C59C22semidirect
202. C59×#433C22semidirect
1002. #3119D59semidirect
1059. #540C2×D59semidirect
1076. #520C2×D59semidirect
1092. #481C2×D59semidirect
1096. #480C2×D59semidirect
1098. #479C2×D59semidirect
1100. #478C2×D59semidirect
1122. #460C2×D59semidirect
1128. #459C2×D59semidirect
1145. #449C2×D59semidirect
1146. #449C2×D59semidirect
1166. #442C2×D59semidirect
1168. #440C2×D59semidirect
1170. C4×SD16C2×D59semidirect
1172. C4×D8C2×D59semidirect
1182. #433C2×D59semidirect
1195. C59#61617semidirect

Maximal subgroups

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

subgroupindex
#214383342
#214377662
#214363022
#214362942
#214362422
#214362342
#214361072
#214360992
#214360032
#214359952
D8×D2362
#214357682
#214357172
#214357112
#214355932
#214355862
#214355782
#214355712
#214351482
#214351402
#214349552
#214349532
#214348952
#214348462
#214342952
#214333612
#214333452
#449×D592
#214331422
C59×#31192
#6161759