Finite Group Databasebeta

← #29483977

Subgroups — #29483977

Order 15104.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438455C211yesmaximal, characteristic, complemented
2#21438031C211yesmaximal, characteristic, complemented
3#21437158C211yesmaximal, characteristic, complemented
4#21437141C211yesmaximal, characteristic, complemented
5#21436930C211yesmaximal, characteristic, complemented
6#21436808C211yesmaximal, characteristic, complemented
7#21436313C211yesmaximal, characteristic, complemented
8#21436235C211yesmaximal, characteristic, complemented
9#21436225C211yesmaximal, characteristic, complemented
10#21436073C211yesmaximal, characteristic, complemented
11#21436051C211yesmaximal, characteristic, complemented
12#21435713C211yesmaximal, characteristic, complemented
13#21435708C211yesmaximal, characteristic, complemented
14#21435637C211yesmaximal, characteristic, complemented
15#21435614C211yesmaximal, characteristic, complemented
16#21435583C211yesmaximal, characteristic, complemented
17#21435579C211yesmaximal, characteristic, complemented
18#21435565C211yesmaximal, characteristic, complemented
19#21435508C211yesmaximal, characteristic, complemented
20#21435451C211yesmaximal, characteristic, complemented
21#21435193C211yesmaximal, characteristic, complemented
22#21435144C211yesmaximal, characteristic, complemented
23#21435131C211yesmaximal, characteristic, complemented
24#21434376C211yesmaximal, characteristic, complemented
25#21434286C211yesmaximal, characteristic, complemented
26#21434184C211yesmaximal, characteristic, complemented
27#21433634C211yesmaximal, characteristic, complemented
28#21433594C211yesmaximal, characteristic, complemented
29#21433559C211yesmaximal, characteristic, complemented
30#21433260C211yesmaximal, characteristic, complemented
31C59×#3332C211yesmaximal, characteristic, complemented
32C2×#14273755C2211yescharacteristic
33C2×#14273755C2211yescharacteristic, complemented
34C2×#14273752C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C2×#14273747C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic
38#16838140—21no—
39#16838139—21no—
40#16838135C2211yescharacteristic, complemented
41#16838124C2211yescharacteristic, complemented
42#16838113C2211yescharacteristic, complemented
43#16838101—21no—
44#16838100C2211yescharacteristic
45#16838097—21no—
46#16838087C2211yescharacteristic, complemented
47#16838079—21no—
48#16838075—21no—
49#16838072C2211yescharacteristic, complemented
50#16838070C2211yescharacteristic
51#16838051C2211yescharacteristic, complemented
52#16838049C2211yescharacteristic
53#16838048C2211yescharacteristic, complemented
54#16838048C2211yescharacteristic, complemented
55#16838041—21no—
56#16838040—21no—
57#16838040C2211yescharacteristic
58#16838036C2211yescharacteristic, complemented
59#16838036C2211yescharacteristic, complemented
60#16838026C2211yescharacteristic, complemented
61#16838024C2211yescharacteristic, complemented
62#16838019C2211yescharacteristic, complemented
63#16838005C2211yescharacteristic, complemented
64#16837998—21no—
65#16837988—21no—
66#16837985—21no—
67#16837984—21no—
68#16837979—21no—
69#16837966C2211yescharacteristic, complemented
70#16837965—21no—
71#16837965C2211yescharacteristic, complemented
72#16837948C2211yescharacteristic, complemented
73#16837947C2211yescharacteristic, complemented
74#16837933C2211yescharacteristic, complemented
75#16837932C2211yescharacteristic
76#16837909—21no—
77#123×D59—21no—
78#16837883C2211yescharacteristic, complemented
79#16837874C2211yescharacteristic, complemented
80C2×#14273689C2211yescharacteristic, complemented
81#16837793C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic, complemented
83#16837789C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic
85#16837786C2211yescharacteristic, complemented
86#16837777C2211yescharacteristic, complemented
87#16837769C2211yescharacteristic, complemented
88#16837765C2211yescharacteristic, complemented
89#16837765C2211yescharacteristic, complemented
90#16837764C2211yescharacteristic, complemented
91#16837758C2211yescharacteristic, complemented
92#16837742C2211yescharacteristic, complemented
93#16837732C2211yescharacteristic, complemented
94#16837728C2211yescharacteristic, complemented
95#16837720C2211yescharacteristic, complemented
96#16837712C2211yescharacteristic, complemented
97#16837701C2211yescharacteristic, complemented
98#16837700C2211yescharacteristic, complemented
99#16837700C2211yescharacteristic, complemented
100#16837691C2211yescharacteristic, complemented
101#16837691C2211yescharacteristic, complemented
102#16837689C2211yescharacteristic, complemented
103#16837686C2211yescharacteristic, complemented
104#16837680C2211yescharacteristic, complemented
105#16837659C2211yescharacteristic, complemented
106#16837656C2211yescharacteristic
107#16837653C2211yescharacteristic
108#16837648C2211yescharacteristic, complemented
109#16837648C2211yescharacteristic, complemented
110#16837646C2211yescharacteristic, complemented
111#16837636C2211yescharacteristic, complemented
112#16837634C2211yescharacteristic, complemented
113#16837632C2211yescharacteristic, complemented
114#16837629C2211yescharacteristic, complemented
115#16837627C2211yescharacteristic, complemented
116#16837627C2211yescharacteristic, complemented
117#16837624C2211yescharacteristic, complemented
118#16837623C2211yescharacteristic, complemented
119#16837620C2211yescharacteristic
120#16837620C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic, complemented
123#16837618C2211yescharacteristic
124#16837618C2211yescharacteristic, complemented
125#16837617C2211yescharacteristic, complemented
126#16837616C2211yescharacteristic, complemented
127#16837616C2211yescharacteristic, complemented
128#16837616C2211yescharacteristic, complemented
129#16837615C2211yescharacteristic, complemented
130#16837615C2211yescharacteristic, complemented
131#16837606C2211yescharacteristic, complemented
132#16837606C2211yescharacteristic, complemented
133#16837601C2211yescharacteristic, complemented
134#16837601C2211yescharacteristic, complemented
135#16837601C2211yescharacteristic, complemented
136#16837596C2211yescharacteristic
137#16837596C2211yescharacteristic
138#16837596C2211yescharacteristic, complemented
139#16837596C2211yescharacteristic, complemented
140#16837596C2211yescharacteristic, complemented
141#16837595C2211yescharacteristic, complemented
142#16837595C2211yescharacteristic, complemented
143#16837594C2211yescharacteristic, complemented
144#16837566C2211yescharacteristic, complemented
145#16837566C2211yescharacteristic, complemented
146#16837565C2211yescharacteristic, complemented
147#16837564C2211yescharacteristic, complemented
148#16837554C2211yescharacteristic, complemented
149#16837551C2211yescharacteristic, complemented
150#16837548C2211yescharacteristic, complemented
151#16837547C2211yescharacteristic, complemented
152#16837545C2211yescharacteristic
153#16837545C2211yescharacteristic, complemented
154#16837538C2211yescharacteristic
155#16837538C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic
157#16837537C2211yescharacteristic
158#16837535C2211yescharacteristic, complemented
159#16837535C2211yescharacteristic, complemented
160#16837532C2211yescharacteristic, complemented
161#16837531C2211yescharacteristic, complemented
162#16837513C2211yescharacteristic
163#16837513C2211yescharacteristic, complemented
164#16837512C2211yescharacteristic, complemented
165#16837511C2211yescharacteristic, complemented
166#16837511C2211yescharacteristic, complemented
167#16837511C2211yescharacteristic, complemented
168#16837508C2211yescharacteristic, complemented
169#16837500C2211yescharacteristic, complemented
170#16837493C2211yescharacteristic, complemented
171#16837489C2211yescharacteristic, complemented
172C4×D472C2211yescharacteristic, complemented
173#16837478C2211yescharacteristic, complemented
174#16837476C2211yescharacteristic, complemented
175#16837474C2211yescharacteristic, complemented
176#16837471C2211yescharacteristic, complemented
177#16837470C2211yescharacteristic, complemented
178#16837461C2211yescharacteristic, complemented
179#16837460C2211yescharacteristic, complemented
180#16837456C2211yescharacteristic, complemented
181#16837430C2211yescharacteristic, complemented
182#16837427C2211yescharacteristic, complemented
183#16837425C2211yescharacteristic, complemented
184#16837405C2211yescharacteristic, complemented
185#16837401C2211yescharacteristic, complemented
186#16837395C2211yescharacteristic, complemented
187C2×#14273647C2211yescharacteristic, complemented
188C59×#550C2211yescharacteristic, complemented
189C59×#547C2211yescharacteristic, complemented
190C59×#486C2211yescharacteristic, complemented
191C59×#481C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#475C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#469C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C59×#417C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745687—21no—
206C2×#11745687—21no—
207C2×#11745687C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C2×D4×D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214C22×C4×D59—21no—
215#14273755—42no—
216#14273755—42no—
217#14273752—42no—
218#14273751—42no—
219#14273747—42no—
220C2×Dic236C2311yescharacteristic
221C2×#11745672C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×D472C2311yescharacteristic
232C2×D472C2311yescharacteristic
233C2×D472C2311yescharacteristic
234C2×D472C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241D8×D59—42no—
242C2×#11745664C2311yescharacteristic
243C2×#11745659C2311yescharacteristic
244C22×C59⋊C8C2311yescharacteristic
245C2×C8×D59C2311yescharacteristic
246#14273726C2311yescharacteristic
247#14273725C2311yescharacteristic
248#14273723—21no—
249#14273723C2311yescharacteristic
250#14273723C2311yescharacteristic
251#14273723C2311yescharacteristic
252#14273723C2311yescharacteristic
253#14273722—21no—
254#14273722—21no—
255#14273722—21no—
256#14273722—21no—
257#14273722D411yescharacteristic
258#14273721—21no—
259#14273721—21no—
260#14273720—21no—
261#14273720—21no—
262#14273720D411yescharacteristic
263#14273718C2311yescharacteristic
264#14273718C2311yescharacteristic
265#14273717—21no—
266#14273717D411yescharacteristic
267#14273716—21no—
268#14273716C2311yescharacteristic
269#14273716C2311yescharacteristic
270#14273715—21no—
271#14273715C2311yescharacteristic
272#14273715C2311yescharacteristic
273#14273714—21no—
274#14273714C2311yescharacteristic
275#14273714C2311yescharacteristic
276#14273713—21no—
277#14273713—21no—
278#14273713D411yescharacteristic
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273711—21no—
285#14273711D411yescharacteristic
286#14273710—21no—
287#14273710—21no—
288#14273710—21no—
289#14273710—21no—
290#14273709—21no—
291#14273709—21no—
292#14273709—21no—
293#14273708—21no—
294#14273708—21no—
295#14273708—21no—
296#14273708D411yescharacteristic
297#14273707—21no—
298#14273707C2311yescharacteristic
299#14273706C2311yescharacteristic
300#14273706C2311yescharacteristic
301#14273705—21no—
302#14273705—21no—
303#14273704—21no—
304#14273704D411yescharacteristic
305#14273703—21no—
306#14273703—21no—
307#14273703—21no—
308#14273703C2311yescharacteristic
309#14273702C2311yescharacteristic
310#14273702C2311yescharacteristic
311#14273701—21no—
312#14273701—21no—
313#14273701—21no—
314#14273701C2311yescharacteristic
315#14273701C2311yescharacteristic
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273699—21no—
332#14273699D411yescharacteristic
333#14273698—21no—
334#14273698—21no—
335#14273698—21no—
336#14273697—21no—
337#14273697—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695—21no—
344#14273695—21no—
345#14273695—21no—
346#14273695—21no—
347#14273695—21no—
348C4×Dic118C2311yescharacteristic
349#14273692C2311yescharacteristic
350#14273692C2311yescharacteristic
351#14273692C2311yescharacteristic
352C4×D236C2311yescharacteristic
353C4×D236C2311yescharacteristic
354D4×Dic59—21no—
355D4×Dic59C2311yescharacteristic
356D4×Dic59C2311yescharacteristic
357D4×Dic59C2311yescharacteristic
358#14273689—21no—
359#14273689—21no—
360#14273689C2311yescharacteristic
361#14273689C2311yescharacteristic
362#14273689C2311yescharacteristic
363#14273689C2311yescharacteristic
364#14273689C2311yescharacteristic
365#14273689C2311yescharacteristic
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59C2311yescharacteristic
374C4×C22⋊D59C2311yescharacteristic
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378#14273686—21no—
379#14273686C2311yescharacteristic
380#14273685—21no—
381#14273685C2311yescharacteristic
382#14273684—21no—
383#14273684C2311yescharacteristic
384#14273683—21no—
385C2×Dic59⋊C4—21no—
386C4⋊C4×D59—21no—
387C4⋊C4×D59—21no—
388C2×(C2×D59)⋊C4—21no—
389C2×(C2×D59)⋊C4—21no—
390C2×(C2×D59)⋊C4—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C2×C4×Dic59C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436#14273638C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439#14273637C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×#41×C59—21no—
442C2×#41×C59C2311yescharacteristic
443C2×#41×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C2×D8×C59C2311yescharacteristic
447C2×M16×C59C2311yescharacteristic
448C2×M16×C59C2311yescharacteristic
449C4⋊Q8×C59C2311yescharacteristic
450#127×C59—21no—
451#127×C59C2311yescharacteristic
452#123×C59—21no—
453#123×C59—21no—
454C22⋊Q8×C59—21no—
455#121×C59—21no—
456#121×C59—21no—
457#121×C59C2311yescharacteristic
458#121×C59C2311yescharacteristic
459#121×C59C2311yescharacteristic
460#121×C59C2311yescharacteristic
461C4×Q8×C59C2311yescharacteristic
462C4×D4×C59—21no—
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465C2×C4⋊C4×C59C2311yescharacteristic
466C2×C4⋊C4×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488#41×C59—41no—
489#41×C59—41no—
490#41×C59—41no—
491#41×C59—41no—
492#41×C59—82no—
493C2×Q8×C59—21no—
494C2×Q8×C59C2411yescharacteristic
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59C2×D411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59C2411yescharacteristic
513C22×C4×C59C2411yescharacteristic
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59C2×D411yescharacteristic
530C2×C22⋊D59C2×D411yescharacteristic
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59C2×D411yescharacteristic
536C22×Dic59C2×D411yescharacteristic
537#11745687—41no—
538#11745687—41no—
539#11745687—82no—
540#11745687—82no—
541D4×D59—22no—
542D4×D59—41no—
543D4×D59—41no—
544D4×D59—41no—
545D4×D59—82no—
546D4×D59—82no—
547#11745685—22no—
548#11745685—41no—
549#11745685—41no—
550#11745685—41no—
551C2×D236—22no—
552C2×D236—21no—
553C2×D236—21no—
554C2×D236—21no—
555C2×D236—21no—
556C2×D236—41no—
557C2×D236—41no—
558C2×D236—41no—
559C2×D236C2411yescharacteristic
560C2×D236C2411yescharacteristic
561C2×D236C2411yescharacteristic
562C2×D236C2411yescharacteristic
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—82no—
574C2×C4×D59C2411yescharacteristic
575C2×Dic118—21no—
576C2×Dic118C2×D411yescharacteristic
577C2×Dic118C2411yescharacteristic
578C2×Dic118C2411yescharacteristic
579SD16×C59—41no—
580D8×C59—41no—
581D8×C59—41no—
582M16×C59—41no—
583M16×C59—41no—
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59C2×D411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C4⋊C4×C59C2411yescharacteristic
596C4⋊C4×C59C2411yescharacteristic
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59C2×D411yescharacteristic
603C22⋊C4×C59C2×D411yescharacteristic
604C42×C59—21no—
605C42×C59C2411yescharacteristic
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59C2×D411yescharacteristic
616C22⋊Dic59C2×D411yescharacteristic
617C22⋊Dic59C2×D411yescharacteristic
618C22⋊Dic59C2×D411yescharacteristic
619#11745672—41no—
620#11745671—22no—
621#11745671—41no—
622#11745670—41no—
623#11745670—41no—
624#11745670—41no—
625#11745669—22no—
626#11745669—22no—
627#11745669—41no—
628#11745669—41no—
629#11745669—41no—
630#11745669—41no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59C2×D411yescharacteristic
662C4⋊Dic59C2×D411yescharacteristic
663C4⋊Dic59C2×D411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C4×Dic59C2411yescharacteristic
691C4×Dic59C2411yescharacteristic
692#11745664—41no—
693C2×C59⋊C8—41no—
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698Dic236—41no—
699D472—22no—
700D472—22no—
701D472—41no—
702D472—41no—
703#11745660—22no—
704#11745660—41no—
705#11745660—41no—
706#11745660—41no—
707#11745659—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59C22×D411yescharacteristic
713C23×C59C22×D411yescharacteristic
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—21no—
718C22×D59—42no—
719C22×D59—42no—
720C22×D59—42no—
721C22×D59—81no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—81no—
730C22×D59C22×D411yescharacteristic
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—81no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—41no—
741D4×C59—42no—
742D4×C59—81no—
743D4×C59—81no—
744D4×C59—81no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59—81no—
748D4×C59—81no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—42no—
759C2×C4×C59—81no—
760C2×C4×C59—81no—
761C2×C4×C59—81no—
762C2×C4×C59—81no—
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C22×D411yescharacteristic
767C2×C4×C59C2511yescharacteristic
768C22⋊D59—41no—
769C22⋊D59—41no—
770C22⋊D59—42no—
771C22⋊D59—42no—
772C22⋊D59—42no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C22⋊D59—81no—
781C22⋊D59—81no—
782C22⋊D59—81no—
783C22⋊D59—81no—
784C22⋊D59—81no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—41no—
790C2×Dic59—41no—
791C2×Dic59—42no—
792C2×Dic59—81no—
793C2×Dic59—81no—
794C2×Dic59—81no—
795C2×Dic59C22×D411yescharacteristic
796C2×Dic59C22×D411yescharacteristic
797C2×Dic59C22×D411yescharacteristic
798C2×Dic59C22×D411yescharacteristic
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801C2×Dic59C22×D411yescharacteristic
802D236—21no—
803D236—21no—
804D236—21no—
805D236—21no—
806D236—21no—
807D236—21no—
808D236—21no—
809D236—42no—
810D236—81no—
811D236—81no—
812D236—81no—
813D236H(5,𝔽2)12yes—
814C4×D59—21no—
815C4×D59—21no—
816C4×D59—42no—
817C4×D59—42no—
818C4×D59—81no—
819C4×D59—81no—
820C4×D59—81no—
821C4×D59—81no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825C4×D59—81no—
826Dic118—21no—
827Dic118—21no—
828Dic118—21no—
829Dic118—21no—
830Dic118—41no—
831Dic118—81no—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62083—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—21no—
845C22×C59—21no—
846C22×C59—21no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59C23×D411yescharacteristic
857C2×D59—21no—
858C2×D59—21no—
859C2×D59—21no—
860C2×D59—22no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—84no—
873C2×D59—162no—
874C2×D59—162no—
875C2×D59—162no—
876C4×C59—21no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—41no—
881C4×C59—41no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59C2×H(5,𝔽2)11yescharacteristic
886C4×C59#58511yescharacteristic
887Dic59—21no—
888Dic59—21no—
889Dic59—21no—
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—21no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898#3546—591no—
899#3513—591no—
900#3401—591no—
901#3399—591no—
902#3376—591no—
903#3366—591no—
904#3332D5911yescharacteristic, complemented
905#3323—591no—
906#3318—591no—
907#3317—591no—
908#3307—591no—
909#3306—591no—
910#3274—591no—
911#3273—591no—
912#3268—591no—
913#3267—591no—
914#3264—591no—
915#3264—591no—
916#3263—591no—
917#3257—591no—
918#3251—591no—
919#3224—591no—
920#3220—591no—
921#3219—591no—
922#3125—591no—
923#3118—591no—
924#3109—591no—
925#3045—591no—
926#3041—591no—
927#3036—591no—
928#2995—591no—
929C2×C59—41no—
930C2×C59—41no—
931C2×C59—81no—
932C2×C59—81no—
933C2×C59—81no—
934C2×C59#348811yescharacteristic
935C2×C59#358511yescharacteristic
936C2×C59#358511yescharacteristic
937D59—41no—
938D59—42no—
939D59—81no—
940D59—81no—
941D59—81no—
942C2×AGL(1,ℤ/8)—591no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×#135—591no—
947C22×D8—591no—
948#560—1181no—
949#560—1181no—
950#559—591no—
951#556—591no—
952#554—591no—
953#553—591no—
954#553—1181no—
955#553—1181no—
956#552—591no—
957#551—1181no—
958#551—1181no—
959#550—591no—
960#550—591no—
961#550C2×D5911yescharacteristic, complemented
962#547—591no—
963#547C2×D5911yescharacteristic, complemented
964#546—591no—
965#546—591no—
966#546—591no—
967#546—591no—
968#546—1181no—
969#546—1181no—
970D42—591no—
971D42—591no—
972#542—591no—
973#542—591no—
974#542—591no—
975#540—591no—
976#539—1181no—
977#538—1181no—
978#538—1181no—
979#538—1181no—
980#537—1181no—
981#535—591no—
982#535—591no—
983#535—1181no—
984#532—591no—
985#532—591no—
986#529—591no—
987#529—591no—
988#525—1181no—
989C2×#123—1181no—
990#520—591no—
991#518—591no—
992C2×C4×D4—591no—
993#497—591no—
994#496—591no—
995#496—591no—
996#496—591no—
997#495—591no—
998#493—591no—
999#491—591no—
1000#490—591no—
1001#490—591no—
1002#489—591no—
1003#488—591no—
1004#486C2×D5911yescharacteristic, complemented
1005#485—591no—
1006#483—591no—
1007#482—591no—
1008#481—591no—
1009#481C2×D5911yescharacteristic, complemented
1010#481C2×D5911yescharacteristic, complemented
1011#479—591no—
1012#478—591no—
1013#478—591no—
1014#478—591no—
1015#476—591no—
1016#476—591no—
1017#476—591no—
1018#475—591no—
1019#475C2×D5911yescharacteristic, complemented
1020#474—591no—
1021#470—591no—
1022#469—591no—
1023#469—591no—
1024#469C2×D5911yescharacteristic, complemented
1025#469C2×D5911yescharacteristic, complemented
1026#468—591no—
1027#468—591no—
1028#468—591no—
1029#466—591no—
1030#465—591no—
1031#465—591no—
1032#465—591no—
1033#464—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#463—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#463—591no—
1048#463—591no—
1049#461—591no—
1050#461—591no—
1051#460—591no—
1052#460—591no—
1053#460—591no—
1054#459—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459—591no—
1062#459C2×D5911yescharacteristic, complemented
1063#452—591no—
1064#452—591no—
1065#452—591no—
1066#452—591no—
1067#450—591no—
1068#450—591no—
1069#449—591no—
1070#449—591no—
1071#449—591no—
1072#449—591no—
1073#449C2×D5911yescharacteristic, complemented
1074#449C2×D5911yescharacteristic, complemented
1075#447—591no—
1076#447—591no—
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#447—591no—
1081#446—591no—
1082#446—591no—
1083#442—591no—
1084#442—591no—
1085#442—591no—
1086#442—591no—
1087#442—591no—
1088#442—591no—
1089#441—591no—
1090#440—591no—
1091C4×SD16—591no—
1092C4×SD16—591no—
1093C4×SD16C2×D5911yescharacteristic, complemented
1094C4×D8—591no—
1095#436—591no—
1096#436C2×D5911yescharacteristic, complemented
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101#433—591no—
1102#433—591no—
1103#432—591no—
1104#424—591no—
1105#424—591no—
1106#423—591no—
1107#418—591no—
1108#417—591no—
1109#417C2×D5911yescharacteristic, complemented
1110#417C2×D5911yescharacteristic, complemented
1111#416—591no—
1112C2×#102—591no—
1113C59#6208311yescharacteristic, complemented, Sylow
1114C2×#41—21no—
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—591no—
1118C2×#41—1181no—
1119C2×#41—1181no—
1120C2×#41C22×D5911yescharacteristic
1121C2×#41C22×D5911yescharacteristic
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—591no—
1125C22×D4—591no—
1126C22×D4—1181no—
1127C22×D4—1181no—
1128C23×C4—1181no—
1129AGL(1,ℤ/8)—2362no—
1130AGL(1,ℤ/8)—2362no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133#135—2362no—
1134C2×Q16—591no—
1135C2×Q16—591no—
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16—591no—
1145C2×SD16C22×D5911yescharacteristic
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8—591no—
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—2362no—
1157C2×D8C22×D5911yescharacteristic
1158C2×D8C22×D5911yescharacteristic
1159C2×M16—591no—
1160C2×M16—591no—
1161C2×M16C22×D5911yescharacteristic
1162C2×M16C22×D5911yescharacteristic
1163C22×C8—591no—
1164C22×C8—591no—
1165C4⋊Q8—591no—
1166C4⋊Q8—591no—
1167C4⋊Q8C22×D5911yescharacteristic
1168#127—21no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—591no—
1173#127—1181no—
1174#127C22×D5911yescharacteristic
1175#126—591no—
1176#126—591no—
1177#126—1181no—
1178#126—1181no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#125—591no—
1186#125—591no—
1187#125—591no—
1188#125—1181no—
1189#124—591no—
1190#124—591no—
1191#124—591no—
1192#124—591no—
1193#124—591no—
1194#124—591no—
1195#124—591no—
1196#124—1181no—
1197#124—1181no—
1198#124—1181no—
1199#124—1181no—
1200#124—1181no—
1201#123—21no—
1202#123—21no—
1203#123—591no—
1204#123—591no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221C22⋊Q8—21no—
1222C22⋊Q8—591no—
1223C22⋊Q8—591no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234#121—21no—
1235#121—21no—
1236#121—591no—
1237#121—591no—
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121C22×D5911yescharacteristic
1264#121C22×D5911yescharacteristic
1265#121C22×D5911yescharacteristic
1266#121C22×D5911yescharacteristic
1267#120—1181no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279C4×Q8—591no—
1280C4×Q8—591no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8C22×D5911yescharacteristic
1284C4×D4—21no—
1285C4×D4—591no—
1286C4×D4—591no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4—1181no—
1311C4×D4C22×D5911yescharacteristic
1312C4×D4C22×D5911yescharacteristic
1313#117—591no—
1314#117—591no—
1315#117—591no—
1316#117—1181no—
1317#117—1181no—
1318#117—1181no—
1319#117—1181no—
1320C2×C4⋊C4—1181no—
1321C2×C4⋊C4—1181no—
1322C2×C4⋊C4—1181no—
1323C2×C4⋊C4C22×D5911yescharacteristic
1324C2×C4⋊C4C22×D5911yescharacteristic
1325C2×C22⋊C4—1181no—
1326C2×C22⋊C4—1181no—
1327C2×C22⋊C4—1181no—
1328C2×C22⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C22⋊C4—1181no—
1332C2×C42—591no—
1333#107—591no—
1334#107—591no—
1335#106—591no—
1336#106—591no—
1337#106—591no—
1338#106C22×D5911yescharacteristic
1339#106C22×D5911yescharacteristic
1340#106C22×D5911yescharacteristic
1341C4⋊C8—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8—591no—
1349C4⋊C8—591no—
1350C4⋊C8C22×D5911yescharacteristic
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103C22×D5911yescharacteristic
1359#103C22×D5911yescharacteristic
1360#103C22×D5911yescharacteristic
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102C22×D5911yescharacteristic
1377#102C22×D5911yescharacteristic
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382#102C22×D5911yescharacteristic
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8C22×D5911yescharacteristic
1388C22⋊C8C22×D5911yescharacteristic
1389#97—591no—
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393C4×C8—591no—
1394C4×C8C22×D5911yescharacteristic
1395C24—1181no—
1396C24—1181no—
1397C24—1181no—
1398C24—1181no—
1399#41—41no—
1400#41—41no—
1401#41—41no—
1402#41—41no—
1403#41—82no—
1404#41—1182no—
1405#41—4722no—
1406#41—4722no—
1407#41—2361no—
1408#41—2361no—
1409#41—2361no—
1410#41—2361no—
1411#41—2361no—
1412C2×Q8—21no—
1413C2×Q8—591no—
1414C2×Q8—591no—
1415C2×Q8—591no—
1416C2×Q8—1181no—
1417C2×Q8C23×D5911yescharacteristic
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—591no—
1427C2×D4—591no—
1428C2×D4—591no—
1429C2×D4—591no—
1430C2×D4—591no—
1431C2×D4—591no—
1432C2×D4—1182no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1182no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—4722no—
1454C2×D4—4722no—
1455C2×D4—2361no—
1456C2×D4—2361no—
1457C2×D4—2361no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4D4×D5911yescharacteristic
1462C2×D4C23×D5911yescharacteristic
1463C2×D4C23×D5911yescharacteristic
1464C2×D4C23×D5911yescharacteristic
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—21no—
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—591no—
1471C22×C4—591no—
1472C22×C4—591no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—4722no—
1488C22×C4C23×D5911yescharacteristic
1489C22×C4C23×D5911yescharacteristic
1490Q16—2361no—
1491Q16—2361no—
1492SD16—41no—
1493SD16—1182no—
1494SD16—1182no—
1495SD16—2361no—
1496SD16—2361no—
1497SD16—2361no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502D8—41no—
1503D8—41no—
1504D8—1182no—
1505D8—1182no—
1506D8—1182no—
1507D8—1182no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513D8—2361no—
1514M16—41no—
1515M16—41no—
1516M16—2361no—
1517M16—2361no—
1518C2×C8—591no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—2361no—
1523C2×C8—2361no—
1524C2×C8C23×D5911yescharacteristic
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C2×C8C23×D5911yescharacteristic
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—591no—
1533C4⋊C4—591no—
1534C4⋊C4—591no—
1535C4⋊C4—591no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—591no—
1542C4⋊C4—591no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4D4×D5911yescharacteristic
1558C4⋊C4C23×D5911yescharacteristic
1559C4⋊C4C23×D5911yescharacteristic
1560C4⋊C4C23×D5911yescharacteristic
1561C4⋊C4C23×D5911yescharacteristic
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—591no—
1568C22⋊C4—591no—
1569C22⋊C4—591no—
1570C22⋊C4—591no—
1571C22⋊C4—591no—
1572C22⋊C4—591no—
1573C22⋊C4—591no—
1574C22⋊C4—591no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4D4×D5911yescharacteristic
1608C22⋊C4D4×D5911yescharacteristic
1609C42—21no—
1610C42—591no—
1611C42—591no—
1612C42—591no—
1613C42—591no—
1614C42—591no—
1615C42—1181no—
1616C42—1181no—
1617C42—1181no—
1618C42—1181no—
1619C42C23×D5911yescharacteristic
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—591no—
1624C23—1181no—
1625C23—1181no—
1626C23—1181no—
1627C23—1181no—
1628C23—4721no—
1629C23—4721no—
1630C23—4721no—
1631C23—4721no—
1632C23—4721no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—2362no—
1638C23—2362no—
1639C23—2362no—
1640C23C2×D4×D5911yescharacteristic
1641C23C2×D4×D5911yescharacteristic
1642Q8—21no—
1643Q8—21no—
1644Q8—81no—
1645Q8—1181no—
1646Q8—1181no—
1647Q8—1181no—
1648Q8—1181no—
1649Q8—4721no—
1650Q8—2361no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—41no—
1658D4—42no—
1659D4—81no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4—81no—
1666D4—592no—
1667D4—1181no—
1668D4—1181no—
1669D4—1181no—
1670D4—1181no—
1671D4—1181no—
1672D4—1181no—
1673D4—1181no—
1674D4—4721no—
1675D4—4721no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—4721no—
1687D4—4721no—
1688D4—4721no—
1689D4—2362no—
1690D4—2361no—
1691D4—2361no—
1692D4—2362no—
1693D4—2362no—
1694D4—2362no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—42no—
1705C2×C4—81no—
1706C2×C4—81no—
1707C2×C4—81no—
1708C2×C4—81no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—591no—
1714C2×C4—591no—
1715C2×C4—591no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—4721no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—4721no—
1732C2×C4—4721no—
1733C2×C4—2362no—
1734C2×C4—2362no—
1735C2×C4—2361no—
1736C2×C4—2361no—
1737C2×C4—2362no—
1738C2×C4C2×D4×D5911yescharacteristic
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C2×D4×D5911yescharacteristic
1742C2×C4C24×D5911yescharacteristic
1743C8—21no—
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—1181no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—21no—
1756C22—21no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—1181no—
1767C22—1182no—
1768C22—1181no—
1769C22—1181no—
1770C22—9442no—
1771C22—9442no—
1772C22—9442no—
1773C22—4724no—
1774C22—2361no—
1775C22—2361no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22C22×D4×D5911yescharacteristic
1786C4—21no—
1787C4—21no—
1788C4—21no—
1789C4—21no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—1181no—
1796C4—1181no—
1797C4—1181no—
1798C4—1181no—
1799C4—1181no—
1800C4—1181no—
1801C4—1181no—
1802C4—2361no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4H(5,𝔽2)×D5911yescharacteristic
1807C4#1683823811yescharacteristic
1808C2—41no—
1809C2—41no—
1810C2—81no—
1811C2—81no—
1812C2—81no—
1813C2—4721no—
1814C2—4721no—
1815C2—4721no—
1816C2—2361no—
1817C2—2362no—
1818C2#2143775911yescharacteristic
1819C2#2143887211yescharacteristic
1820C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3332C2
socleC22×C59C23×D4
hypercenter#3332D59
hypocenterC59#62083
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3332

Complements

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

NH ≅ G/Ntype
1. #21438455C2semidirect
2. #21438031C2semidirect
3. #21437158C2semidirect
4. #21437141C2semidirect
5. #21436930C2semidirect
6. #21436808C2semidirect
7. #21436313C2semidirect
8. #21436235C2semidirect
9. #21436225C2semidirect
10. #21436073C2semidirect
11. #21436051C2semidirect
12. #21435713C2semidirect
13. #21435708C2semidirect
14. #21435637C2semidirect
15. #21435614C2semidirect
16. #21435583C2semidirect
17. #21435579C2semidirect
18. #21435565C2semidirect
19. #21435508C2semidirect
20. #21435451C2semidirect
21. #21435193C2semidirect
22. #21435144C2semidirect
23. #21435131C2semidirect
24. #21434376C2semidirect
25. #21434286C2semidirect
26. #21434184C2semidirect
27. #21433634C2semidirect
28. #21433594C2semidirect
29. #21433559C2semidirect
30. #21433260C2semidirect
31. C59×#3332C2semidirect
33. C2×#14273755C22semidirect
34. C2×#14273752C22semidirect
35. C2×#14273751C22semidirect
36. C2×#14273747C22semidirect
40. #16838135C22semidirect
41. #16838124C22semidirect
42. #16838113C22semidirect
46. #16838087C22semidirect
49. #16838072C22semidirect
51. #16838051C22semidirect
53. #16838048C22semidirect
54. #16838048C22semidirect
58. #16838036C22semidirect
59. #16838036C22semidirect
60. #16838026C22semidirect
61. #16838024C22semidirect
62. #16838019C22semidirect
63. #16838005C22semidirect
69. #16837966C22semidirect
71. #16837965C22semidirect
72. #16837948C22semidirect
73. #16837947C22semidirect
74. #16837933C22semidirect
78. #16837883C22semidirect
79. #16837874C22semidirect
80. C2×#14273689C22semidirect
81. #16837793C22semidirect
82. #16837790C22semidirect
83. #16837789C22semidirect
85. #16837786C22semidirect
86. #16837777C22semidirect
87. #16837769C22semidirect
88. #16837765C22semidirect
89. #16837765C22semidirect
90. #16837764C22semidirect
91. #16837758C22semidirect
92. #16837742C22semidirect
93. #16837732C22semidirect
94. #16837728C22semidirect
95. #16837720C22semidirect
96. #16837712C22semidirect
97. #16837701C22semidirect
98. #16837700C22semidirect
99. #16837700C22semidirect
100. #16837691C22semidirect
101. #16837691C22semidirect
102. #16837689C22semidirect
103. #16837686C22semidirect
104. #16837680C22semidirect
105. #16837659C22semidirect
108. #16837648C22semidirect
109. #16837648C22semidirect
110. #16837646C22semidirect
111. #16837636C22semidirect
112. #16837634C22semidirect
113. #16837632C22semidirect
114. #16837629C22semidirect
115. #16837627C22semidirect
116. #16837627C22semidirect
117. #16837624C22semidirect
118. #16837623C22semidirect
120. #16837620C22semidirect
121. #16837620C22semidirect
122. #16837619C22semidirect
124. #16837618C22semidirect
125. #16837617C22semidirect
126. #16837616C22semidirect
127. #16837616C22semidirect
128. #16837616C22semidirect
129. #16837615C22semidirect
130. #16837615C22semidirect
131. #16837606C22semidirect
132. #16837606C22semidirect
133. #16837601C22semidirect
134. #16837601C22semidirect
135. #16837601C22semidirect
138. #16837596C22semidirect
139. #16837596C22semidirect
140. #16837596C22semidirect
141. #16837595C22semidirect
142. #16837595C22semidirect
143. #16837594C22semidirect
144. #16837566C22semidirect
145. #16837566C22semidirect
146. #16837565C22semidirect
147. #16837564C22semidirect
148. #16837554C22semidirect
149. #16837551C22semidirect
150. #16837548C22semidirect
151. #16837547C22semidirect
153. #16837545C22semidirect
155. #16837538C22semidirect
158. #16837535C22semidirect
159. #16837535C22semidirect
160. #16837532C22semidirect
161. #16837531C22semidirect
163. #16837513C22semidirect
164. #16837512C22semidirect
165. #16837511C22semidirect
166. #16837511C22semidirect
167. #16837511C22semidirect
168. #16837508C22semidirect
169. #16837500C22semidirect
170. #16837493C22semidirect
171. #16837489C22semidirect
172. C4×D472C22semidirect
173. #16837478C22semidirect
174. #16837476C22semidirect
175. #16837474C22semidirect
176. #16837471C22semidirect
177. #16837470C22semidirect
178. #16837461C22semidirect
179. #16837460C22semidirect
180. #16837456C22semidirect
181. #16837430C22semidirect
182. #16837427C22semidirect
183. #16837425C22semidirect
184. #16837405C22semidirect
185. #16837401C22semidirect
186. #16837395C22semidirect
187. C2×#14273647C22semidirect
188. C59×#550C22semidirect
189. C59×#547C22semidirect
190. C59×#486C22semidirect
191. C59×#481C22semidirect
192. C59×#481C22semidirect
193. C59×#475C22semidirect
194. C59×#469C22semidirect
195. C59×#469C22semidirect
196. C59×#459C22semidirect
197. C59×#449C22semidirect
198. C59×#449C22semidirect
199. C4×SD16×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#417C22semidirect
202. C59×#417C22semidirect
904. #3332D59semidirect
961. #550C2×D59semidirect
963. #547C2×D59semidirect
1004. #486C2×D59semidirect
1009. #481C2×D59semidirect
1010. #481C2×D59semidirect
1019. #475C2×D59semidirect
1024. #469C2×D59semidirect
1025. #469C2×D59semidirect
1062. #459C2×D59semidirect
1073. #449C2×D59semidirect
1074. #449C2×D59semidirect
1093. C4×SD16C2×D59semidirect
1096. #436C2×D59semidirect
1109. #417C2×D59semidirect
1110. #417C2×D59semidirect
1113. C59#62083semidirect

Maximal subgroups

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

subgroupindex
#214384552
#214380312
#214371582
#214371412
#214369302
#214368082
#214363132
#214362352
#214362252
#214360732
#214360512
#214357132
#214357082
#214356372
#214356142
#214355832
#214355792
#214355652
#214355082
#214354512
#214351932
#214351442
#214351312
#214343762
#214342862
#214341842
#214336342
#214335942
#214335592
#214332602
C59×#33322
#6208359