Finite Group Databasebeta

← #29481065

Subgroups — #29481065

Order 15104.

2168 conjugacy classes of subgroups.

The subgroup lattice has 1894 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437868C211yesmaximal, characteristic, complemented
2#21437690C211yesmaximal, characteristic, complemented
3#21437141C211yesmaximal, characteristic, complemented
4#21437139C211yesmaximal, characteristic, complemented
5#21436828C211yesmaximal, characteristic, complemented
6#21436822C211yesmaximal, characteristic, complemented
7#21436325C211yesmaximal, characteristic, complemented
8#21436323C211yesmaximal, characteristic, complemented
9#21436235C211yesmaximal, characteristic, complemented
10#21436233C211yesmaximal, characteristic, complemented
11#21436231C211yesmaximal, characteristic, complemented
12#21435714C211yesmaximal, characteristic, complemented
13#21435713C211yesmaximal, characteristic, complemented
14#21435596C211yesmaximal, characteristic, complemented
15#21435595C211yesmaximal, characteristic, complemented
16#21435588C211yesmaximal, characteristic, complemented
17#21435587C211yesmaximal, characteristic, complemented
18#21435457C211yesmaximal, characteristic, complemented
19#21435451C211yesmaximal, characteristic, complemented
20#21435402C211yesmaximal, characteristic, complemented
21#21435115C211yesmaximal, characteristic, complemented
22#21435112C211yesmaximal, characteristic, complemented
23#21435012C211yesmaximal, characteristic, complemented
24#21434243C211yesmaximal, characteristic, complemented
25#21434242C211yesmaximal, characteristic, complemented
26#21434124C211yesmaximal, characteristic, complemented
27#21433575C211yesmaximal, characteristic, complemented
28#21433571C211yesmaximal, characteristic, complemented
29C2×#16837601C211yesmaximal, characteristic, complemented
30#21433208C211yesmaximal, characteristic, complemented
31C59×#3318C211yesmaximal, characteristic, complemented
32C2×#14273772—21no—
33C2×#14273755C2211yescharacteristic, complemented
34C2×#14273753C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C2×#14273751C2211yescharacteristic, complemented
37C22×#11745660C2211yescharacteristic, complemented
38C22×#11745670C2211yescharacteristic, complemented
39#16838136—21no—
40#16838135C2211yescharacteristic, complemented
41#16838129C2211yescharacteristic, complemented
42#16838120C2211yescharacteristic, complemented
43#16838119—21no—
44#16838101—21no—
45#16838100C2211yescharacteristic, complemented
46#16838095—21no—
47#16838073C2211yescharacteristic
48#16838072C2211yescharacteristic
49#16838070—21no—
50#16838070C2211yescharacteristic, complemented
51#16838061C2211yescharacteristic, complemented
52#16838058C2211yescharacteristic, complemented
53D4×D236C2211yescharacteristic
54#16838036C2211yescharacteristic
55#16838036C2211yescharacteristic
56D4×C22⋊D59—21no—
57D4×C22⋊D59C2211yescharacteristic
58D4×C22⋊D59C2211yescharacteristic
59#16838034—21no—
60#16838034—21no—
61#16837968—21no—
62#16837967—21no—
63#16837967—21no—
64#16837949C2211yescharacteristic
65#16837947—21no—
66#16837947C2211yescharacteristic
67#16837947C2211yescharacteristic
68#16837947C2211yescharacteristic, complemented
69C2×#14273723C2211yescharacteristic
70C2×#14273723C2211yescharacteristic
71#127×D59C2211yescharacteristic
72#16837937C2211yescharacteristic, complemented
73#16837935—21no—
74#16837933C2211yescharacteristic, complemented
75#16837929—21no—
76#16837870C2211yescharacteristic, complemented
77C4×#11745687—21no—
78C4×#11745687C2211yescharacteristic
79C4×#11745687C2211yescharacteristic, complemented
80C2×#14273692C2211yescharacteristic, complemented
81#16837791C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic, complemented
83#16837790C2211yescharacteristic, complemented
84#16837789C2211yescharacteristic, complemented
85#16837777C2211yescharacteristic, complemented
86#16837777C2211yescharacteristic, complemented
87#16837768C2211yescharacteristic, complemented
88#16837765C2211yescharacteristic, complemented
89#16837765C2211yescharacteristic, complemented
90#16837747C2211yescharacteristic, complemented
91#16837747C2211yescharacteristic, complemented
92#16837728C2211yescharacteristic, complemented
93#16837726C2211yescharacteristic, complemented
94#16837724C2211yescharacteristic, complemented
95#16837720C2211yescharacteristic, complemented
96#16837701C2211yescharacteristic, complemented
97#16837700C2211yescharacteristic, complemented
98#16837699C2211yescharacteristic, complemented
99#16837686C2211yescharacteristic, complemented
100#16837686C2211yescharacteristic, complemented
101#16837681C2211yescharacteristic, complemented
102#16837681C2211yescharacteristic, complemented
103#16837680C2211yescharacteristic, complemented
104#16837680C2211yescharacteristic, complemented
105#16837656C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837653C2211yescharacteristic, complemented
108#16837649C2211yescharacteristic, complemented
109#16837648C2211yescharacteristic, complemented
110#16837647C2211yescharacteristic, complemented
111#16837646C2211yescharacteristic, complemented
112#16837638C2211yescharacteristic, complemented
113#16837636C2211yescharacteristic, complemented
114#16837636C2211yescharacteristic, complemented
115#16837618C2211yescharacteristic, complemented
116#16837617C2211yescharacteristic, complemented
117#16837616C2211yescharacteristic, complemented
118#16837615C2211yescharacteristic, complemented
119#16837603C2211yescharacteristic, complemented
120#16837601C2211yescharacteristic, complemented
121#16837601C2211yescharacteristic, complemented
122#16837601C2211yescharacteristic, complemented
123#16837601C2211yescharacteristic, complemented
124#16837601C2211yescharacteristic, complemented
125#16837601C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837601C2211yescharacteristic, complemented
128#16837601C2211yescharacteristic, complemented
129#16837601C2211yescharacteristic, complemented
130#16837601C2211yescharacteristic, complemented
131#16837601C2211yescharacteristic, complemented
132#16837599C2211yescharacteristic, complemented
133#16837597C2211yescharacteristic, complemented
134#16837596C2211yescharacteristic, complemented
135#16837596C2211yescharacteristic, complemented
136#16837596C2211yescharacteristic, complemented
137#16837596C2211yescharacteristic, complemented
138#16837596C2211yescharacteristic, complemented
139#16837596C2211yescharacteristic, complemented
140#16837595C2211yescharacteristic, complemented
141#16837595C2211yescharacteristic, complemented
142#16837595C2211yescharacteristic, complemented
143#16837595C2211yescharacteristic, complemented
144#16837555C2211yescharacteristic, complemented
145#16837554C2211yescharacteristic, complemented
146#16837554C2211yescharacteristic, complemented
147#16837553C2211yescharacteristic, complemented
148#16837549C2211yescharacteristic, complemented
149#16837548C2211yescharacteristic, complemented
150#16837545C2211yescharacteristic, complemented
151#16837544C2211yescharacteristic, complemented
152#16837543C2211yescharacteristic, complemented
153#16837540C2211yescharacteristic, complemented
154#16837538C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837536C2211yescharacteristic, complemented
158#16837535C2211yescharacteristic, complemented
159#16837535C2211yescharacteristic, complemented
160#16837531C2211yescharacteristic, complemented
161#16837530C2211yescharacteristic, complemented
162#16837513C2211yescharacteristic, complemented
163#16837512C2211yescharacteristic, complemented
164#16837511C2211yescharacteristic, complemented
165#16837504C2211yescharacteristic, complemented
166#16837502C2211yescharacteristic, complemented
167#16837501C2211yescharacteristic, complemented
168#16837499C2211yescharacteristic, complemented
169#16837493C2211yescharacteristic, complemented
170#16837493C2211yescharacteristic, complemented
171#16837489C2211yescharacteristic, complemented
172#16837489C2211yescharacteristic, complemented
173#16837478C2211yescharacteristic, complemented
174#16837477C2211yescharacteristic, complemented
175#16837474C2211yescharacteristic, complemented
176#16837473C2211yescharacteristic, complemented
177#16837470C2211yescharacteristic, complemented
178#16837457C2211yescharacteristic, complemented
179#16837456C2211yescharacteristic, complemented
180#16837452C2211yescharacteristic, complemented
181#16837425C2211yescharacteristic, complemented
182#16837424C2211yescharacteristic, complemented
183C2×Dic59⋊C8C2211yescharacteristic, complemented
184#16837406C2211yescharacteristic, complemented
185#16837405C2211yescharacteristic, complemented
186#16837405C2211yescharacteristic, complemented
187C2×#14273647C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189D42×C59C2211yescharacteristic
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203#14273772—48no—
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685C2311yescharacteristic
207C2×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687D411yescharacteristic
212C2×#11745687C2311yescharacteristic
213C22×Dic118C2311yescharacteristic
214C22×D236C2311yescharacteristic
215C22×D236C2311yescharacteristic
216C22×C22⋊D59—21no—
217C22×C22⋊D59—21no—
218C22×C22⋊D59—21no—
219C22×C22⋊D59—21no—
220C22×C22⋊D59—21no—
221C22×C22⋊D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229#14273755—42no—
230#14273753—42no—
231#14273751—42no—
232#14273751—42no—
233C2×#11745660—42no—
234C2×#11745660C2311yescharacteristic
235C2×#11745660C2311yescharacteristic
236C2×#11745660C2311yescharacteristic
237C2×#11745660C2311yescharacteristic
238C2×#11745660C2311yescharacteristic
239C2×#11745660C2311yescharacteristic
240C2×#11745670—42no—
241C2×#11745670C2311yescharacteristic
242C2×#11745670C2311yescharacteristic
243C2×#11745670C2311yescharacteristic
244C2×#11745670C2311yescharacteristic
245C2×#11745670C2311yescharacteristic
246C2×#11745670C2311yescharacteristic
247C2×D472C2311yescharacteristic
248C2×D472C2311yescharacteristic
249C2×D472C2311yescharacteristic
250C2×#11745669C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253C2×#11745669C2311yescharacteristic
254C2×#11745669C2311yescharacteristic
255C2×#11745669C2311yescharacteristic
256C2×#11745664C2311yescharacteristic
257C2×#11745659C2311yescharacteristic
258C2×#11745659C2311yescharacteristic
259C22×C59⋊C8C2311yescharacteristic
260#14273726—21no—
261#14273726C2311yescharacteristic
262#14273726C2311yescharacteristic
263#14273724C2311yescharacteristic
264#14273723—21no—
265#14273723—21no—
266#14273723—21no—
267#14273723—21no—
268#14273723—21no—
269#14273723—21no—
270#14273723—21no—
271#14273723C2311yescharacteristic
272#14273723C2311yescharacteristic
273#14273723C2311yescharacteristic
274#14273723C2311yescharacteristic
275#14273723C2311yescharacteristic
276#14273723C2311yescharacteristic
277#14273723C2311yescharacteristic
278#14273723C2311yescharacteristic
279#14273722—21no—
280#14273722—21no—
281#14273721—21no—
282#14273720—21no—
283#14273720—21no—
284#14273718C2311yescharacteristic
285#14273717—21no—
286#14273717—21no—
287#14273715C2311yescharacteristic
288#14273714C2311yescharacteristic
289#14273713—21no—
290#14273713—21no—
291#14273713—21no—
292#14273713—21no—
293#14273713—21no—
294#14273713—21no—
295#14273713—21no—
296#14273713—21no—
297#14273712—21no—
298#14273712—21no—
299#14273710—21no—
300#14273709—21no—
301#14273708—21no—
302#14273707C2311yescharacteristic
303#14273706C2311yescharacteristic
304#14273705—21no—
305#14273704—21no—
306#14273702—21no—
307#14273702C2311yescharacteristic
308#14273702C2311yescharacteristic
309#14273701—21no—
310#14273701—21no—
311#14273701C2311yescharacteristic
312#14273701C2311yescharacteristic
313#14273701C2311yescharacteristic
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273699—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#14273698—21no—
331#14273698C2311yescharacteristic
332#14273697—21no—
333#14273697—21no—
334#14273697—21no—
335#14273697—21no—
336#14273696—21no—
337#14273696—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695—21no—
342C4×Dic118—21no—
343C4×Dic118C2311yescharacteristic
344C4×Dic118C2311yescharacteristic
345#14273692—21no—
346#14273692—21no—
347#14273692—21no—
348#14273692D411yescharacteristic
349#14273692C2311yescharacteristic
350#14273692C2311yescharacteristic
351#14273692C2311yescharacteristic
352#14273692C2311yescharacteristic
353#14273692C2311yescharacteristic
354C4×D236C2311yescharacteristic
355D4×Dic59—21no—
356D4×Dic59—21no—
357D4×Dic59D411yescharacteristic
358D4×Dic59C2311yescharacteristic
359D4×Dic59C2311yescharacteristic
360D4×Dic59C2311yescharacteristic
361#14273689—21no—
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⋊D59C2311yescharacteristic
371C4×C22⋊D59C2311yescharacteristic
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4—21no—
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4D411yescharacteristic
381(C22⋊D59)⋊C4D411yescharacteristic
382#14273685—21no—
383#14273685D411yescharacteristic
384#14273685C2311yescharacteristic
385#14273684—21no—
386#14273683—21no—
387#14273683—21no—
388#14273683D411yescharacteristic
389#14273683D411yescharacteristic
390C2×Dic59⋊C4—21no—
391C2×C4×Dic59—21no—
392C2×C4×Dic59—21no—
393C2×C4×Dic59C2311yescharacteristic
394C2×C4×Dic59C2311yescharacteristic
395C42×D59—21no—
396C42×D59C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437#14273638C2311yescharacteristic
438#14273637C2311yescharacteristic
439#14273637C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C8×Dic59C2311yescharacteristic
442C22×D4×C59—21no—
443C22×D4×C59C2311yescharacteristic
444C22×D4×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C2×D8×C59C2311yescharacteristic
447C2×D8×C59C2311yescharacteristic
448C2×M16×C59C2311yescharacteristic
449C22×C8×C59C2311yescharacteristic
450#127×C59C2311yescharacteristic
451#126×C59—21no—
452#125×C59C2311yescharacteristic
453#123×C59—21no—
454#121×C59—21no—
455#121×C59—21no—
456#121×C59C2311yescharacteristic
457#121×C59C2311yescharacteristic
458#121×C59C2311yescharacteristic
459#121×C59C2311yescharacteristic
460#120×C59—21no—
461#120×C59—21no—
462C4×D4×C59—21no—
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466#117×C59C2311yescharacteristic
467C2×C4⋊C4×C59C2311yescharacteristic
468#107×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470#106×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483C22⋊C8×C59C2311yescharacteristic
484#97×C59C2311yescharacteristic
485C24×C59—21no—
486C24×C59—21no—
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—41no—
500C2×D4×C59—41no—
501C2×D4×C59—41no—
502C2×D4×C59—41no—
503C2×D4×C59—44no—
504C2×D4×C59C2×D411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59C2411yescharacteristic
513C22×C4×C59C2411yescharacteristic
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—21no—
538C2×C22⋊D59—44no—
539C2×C22⋊D59—44no—
540C2×C22⋊D59—44no—
541C2×C22⋊D59—44no—
542C2×C22⋊D59—82no—
543C2×C22⋊D59—82no—
544C2×C22⋊D59C2×D411yescharacteristic
545C2×C22⋊D59C2×D411yescharacteristic
546C22×Dic59—21no—
547C22×Dic59—21no—
548C22×Dic59—21no—
549C22×Dic59—21no—
550C22×Dic59—21no—
551C22×Dic59C2×D411yescharacteristic
552C22×Dic59C2×D411yescharacteristic
553C22×Dic59C2×D411yescharacteristic
554C22×Dic59C2×D411yescharacteristic
555#11745687—24no—
556#11745687—22no—
557#11745687—41no—
558#11745687—44no—
559#11745687—44no—
560#11745687—44no—
561#11745687—44no—
562D4×D59—41no—
563D4×D59—41no—
564D4×D59—41no—
565D4×D59—41no—
566D4×D59—44no—
567D4×D59—44no—
568D4×D59—44no—
569D4×D59—44no—
570D4×D59—82no—
571#11745685—22no—
572#11745685—41no—
573#11745685—44no—
574#11745685—44no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—21no—
579C2×D236—21no—
580C2×D236—21no—
581C2×D236—41no—
582C2×D236—41no—
583C2×D236—41no—
584C2×D236—41no—
585C2×D236C2411yescharacteristic
586C2×D236C2411yescharacteristic
587C2×D236C2411yescharacteristic
588C2×D236C2411yescharacteristic
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59C2×D411yescharacteristic
596C2×C4×D59C2×D411yescharacteristic
597C2×C4×D59C2411yescharacteristic
598C2×Dic118—22no—
599C2×Dic118—21no—
600C2×Dic118—21no—
601C2×Dic118—21no—
602C2×Dic118—41no—
603C2×Dic118C2×D411yescharacteristic
604C2×Dic118C2411yescharacteristic
605C2×Dic118C2411yescharacteristic
606D8×C59—41no—
607D8×C59—41no—
608D8×C59—41no—
609M16×C59—41no—
610C2×C8×C59—41no—
611C2×C8×C59C2411yescharacteristic
612C2×C8×C59C2411yescharacteristic
613C2×C8×C59C2411yescharacteristic
614C2×C8×C59C2411yescharacteristic
615C4⋊C4×C59—21no—
616C4⋊C4×C59—21no—
617C4⋊C4×C59—21no—
618C4⋊C4×C59C2×D411yescharacteristic
619C4⋊C4×C59C2411yescharacteristic
620C4⋊C4×C59C2411yescharacteristic
621C4⋊C4×C59C2411yescharacteristic
622C4⋊C4×C59C2411yescharacteristic
623C22⋊C4×C59—21no—
624C22⋊C4×C59—21no—
625C22⋊C4×C59—21no—
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59C2×D411yescharacteristic
631C22⋊C4×C59C2×D411yescharacteristic
632C42×C59—21no—
633C42×C59C2411yescharacteristic
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59C2×D411yescharacteristic
642C22⋊Dic59C2×D411yescharacteristic
643#11745670—22no—
644#11745670—22no—
645#11745670—22no—
646#11745670—41no—
647#11745670—41no—
648#11745670—41no—
649#11745669—41no—
650#11745669—41no—
651#11745669—41no—
652#11745669—41no—
653#11745669—41no—
654#11745669—41no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4C2×D411yescharacteristic
670(C2×D59)⋊C4C2×D411yescharacteristic
671C4⋊Dic59—21no—
672C4⋊Dic59—21no—
673C4⋊Dic59C2×D411yescharacteristic
674C4⋊Dic59C2411yescharacteristic
675C4⋊Dic59C2411yescharacteristic
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4C2×D411yescharacteristic
687Dic59⋊C4C2×D411yescharacteristic
688Dic59⋊C4C2×D411yescharacteristic
689Dic59⋊C4C2×D411yescharacteristic
690C4×Dic59—21no—
691C4×Dic59—21no—
692C4×Dic59—21no—
693C4×Dic59—21no—
694C4×Dic59—21no—
695C4×Dic59—21no—
696C4×Dic59—21no—
697C4×Dic59C2×D411yescharacteristic
698C4×Dic59C2×D411yescharacteristic
699C4×Dic59C2×D411yescharacteristic
700C4×Dic59C2×D411yescharacteristic
701C4×Dic59C2×D411yescharacteristic
702C4×Dic59C2×D411yescharacteristic
703C4×Dic59C2411yescharacteristic
704C4×Dic59C2411yescharacteristic
705C4×Dic59C2411yescharacteristic
706#11745664—41no—
707C2×C59⋊C8—41no—
708C2×C59⋊C8C2411yescharacteristic
709C2×C59⋊C8C2411yescharacteristic
710C2×C59⋊C8C2411yescharacteristic
711C2×C59⋊C8C2411yescharacteristic
712D472—41no—
713D472—41no—
714D472—41no—
715#11745660—22no—
716#11745660—22no—
717#11745660—22no—
718#11745660—41no—
719#11745660—41no—
720#11745660—41no—
721#11745659—41no—
722#11745659—41no—
723C23×C59—21no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59—21no—
727C23×C59—42no—
728C23×C59—42no—
729C23×C59—81no—
730C23×C59—81no—
731C23×C59—81no—
732C23×C59—81no—
733C23×C59C22×D411yescharacteristic
734C23×C59C22×D411yescharacteristic
735C22×D59—21no—
736C22×D59—21no—
737C22×D59—21no—
738C22×D59—21no—
739C22×D59—42no—
740C22×D59—42no—
741C22×D59—42no—
742C22×D59—42no—
743C22×D59—81no—
744C22×D59—81no—
745C22×D59—81no—
746C22×D59—81no—
747C22×D59—81no—
748C22×D59—81no—
749C22×D59—81no—
750C22×D59—81no—
751C22×D59C22×D411yescharacteristic
752D4×C59—22no—
753D4×C59—21no—
754D4×C59—21no—
755D4×C59—21no—
756D4×C59—21no—
757D4×C59—21no—
758D4×C59—21no—
759D4×C59—21no—
760D4×C59—21no—
761D4×C59—42no—
762D4×C59—42no—
763D4×C59—42no—
764D4×C59—42no—
765D4×C59—81no—
766D4×C59—81no—
767D4×C59—81no—
768D4×C59—81no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—21no—
774C2×C4×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—42no—
778C2×C4×C59—81no—
779C2×C4×C59—81no—
780C2×C4×C59C22×D411yescharacteristic
781C2×C4×C59C22×D411yescharacteristic
782C2×C4×C59C22×D411yescharacteristic
783C2×C4×C59C22×D411yescharacteristic
784C2×C4×C59C2511yescharacteristic
785C22⋊D59—22no—
786C22⋊D59—22no—
787C22⋊D59—42no—
788C22⋊D59—42no—
789C22⋊D59—42no—
790C22⋊D59—42no—
791C22⋊D59—42no—
792C22⋊D59—42no—
793C22⋊D59—42no—
794C22⋊D59—42no—
795C22⋊D59—42no—
796C22⋊D59—42no—
797C22⋊D59—42no—
798C22⋊D59—42no—
799C22⋊D59—42no—
800C22⋊D59—42no—
801C22⋊D59—42no—
802C22⋊D59—42no—
803C22⋊D59—42no—
804C22⋊D59—81no—
805C22⋊D59—81no—
806C22⋊D59—81no—
807C22⋊D59—81no—
808C22⋊D59—81no—
809C22⋊D59—81no—
810C22⋊D59—81no—
811C2×Dic59—21no—
812C2×Dic59—22no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—41no—
817C2×Dic59—41no—
818C2×Dic59—42no—
819C2×Dic59—42no—
820C2×Dic59—42no—
821C2×Dic59—42no—
822C2×Dic59—42no—
823C2×Dic59AGL(1,ℤ/8)14yescomplemented
824C2×Dic59C22×D411yescharacteristic
825C2×Dic59C22×D411yescharacteristic
826C2×Dic59C22×D411yescharacteristic
827C2×Dic59C22×D411yescharacteristic
828C2×Dic59C22×D411yescharacteristic
829C2×Dic59C22×D411yescharacteristic
830C2×Dic59C22×D411yescharacteristic
831D236—21no—
832D236—21no—
833D236—21no—
834D236—21no—
835D236—21no—
836D236—21no—
837D236—21no—
838D236—21no—
839D236—42no—
840D236—42no—
841D236—81no—
842D236—81no—
843D236—81no—
844D236—81no—
845C4×D59—21no—
846C4×D59—21no—
847C4×D59—22no—
848C4×D59—41no—
849C4×D59—42no—
850C4×D59—42no—
851C4×D59—42no—
852C4×D59—42no—
853C4×D59—42no—
854C4×D59—81no—
855Dic118—21no—
856Dic118—22no—
857Dic118—21no—
858Dic118—21no—
859Dic118—42no—
860Dic118—42no—
861Dic118—42no—
862Dic118H(5,𝔽2)12yescomplemented
863C8×C59—21no—
864C8×C59—21no—
865C8×C59—21no—
866C8×C59—21no—
867C59⋊C8—21no—
868C59⋊C8—21no—
869C59⋊C8—21no—
870C59⋊C8—21no—
871#61963—591nomaximal, Sylow
872C22×C59—21no—
873C22×C59—21no—
874C22×C59—21no—
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—41no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—41no—
881C22×C59—41no—
882C22×C59—41no—
883C22×C59—41no—
884C22×C59—41no—
885C22×C59—41no—
886C22×C59—41no—
887C22×C59—41no—
888C22×C59—41no—
889C22×C59—162no—
890C22×C59—162no—
891C22×C59C2×AGL(1,ℤ/8)12yes—
892C22×C59C23×D411yescharacteristic
893C2×D59—21no—
894C2×D59—21no—
895C2×D59—21no—
896C2×D59—41no—
897C2×D59—41no—
898C2×D59—41no—
899C2×D59—41no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—41no—
905C2×D59—41no—
906C2×D59—41no—
907C2×D59—41no—
908C2×D59—162no—
909C2×D59—162no—
910C2×D59—162no—
911C2×D59—162no—
912C4×C59—21no—
913C4×C59—21no—
914C4×C59—21no—
915C4×C59—21no—
916C4×C59—41no—
917C4×C59—41no—
918C4×C59—41no—
919C4×C59—41no—
920C4×C59C2×H(5,𝔽2)11yescharacteristic
921C4×C59#58511yescharacteristic
922Dic59—21no—
923Dic59—21no—
924Dic59—21no—
925Dic59—22no—
926Dic59—21no—
927Dic59—21no—
928Dic59—41no—
929Dic59—41no—
930Dic59—41no—
931Dic59C2×AGL(1,ℤ/8)12yes—
932Dic59C2×AGL(1,ℤ/8)12yes—
933#3498—591no—
934#3480—591no—
935#3399—591no—
936#3399—591no—
937#3368—591no—
938#3368—591no—
939#3324—591no—
940#3324—591no—
941#3318—591no—
942#3318—591no—
943#3318—591no—
944#3318D5911yescharacteristic, complemented
945#3274—591no—
946#3274—591no—
947#3265—591no—
948#3265—591no—
949#3265—591no—
950#3265—591no—
951#3251—591no—
952#3251—591no—
953#3245—591no—
954#3217—591no—
955#3217—591no—
956#3205—591no—
957#3115—591no—
958#3115—591no—
959#3103—591no—
960#3038—591no—
961#3038—591no—
962C2×#460—591no—
963#2989—591no—
964C2×C59—22no—
965C2×C59—41no—
966C2×C59—81no—
967C2×C59—81no—
968C2×C59—81no—
969C2×C59—81no—
970C2×C59#348811yescharacteristic
971C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
972C2×C59#358511yescharacteristic
973D59—41no—
974D59—81no—
975D59—81no—
976D59—81no—
977D59—81no—
978C2×H(5,𝔽2)—1181no—
979C2×AGL(1,ℤ/8)—591no—
980C2×AGL(1,ℤ/8)—591no—
981C2×AGL(1,ℤ/8)—591no—
982C2×AGL(1,ℤ/8)—591no—
983C22×SD16—591no—
984C22×SD16—591no—
985#559—591no—
986#559—1181no—
987#557—591no—
988#556—591no—
989#556—1181no—
990#553—591no—
991#553—1181no—
992#553—1181no—
993#553C2×D5911yescharacteristic, complemented
994#550—591no—
995#550—591no—
996#550—591no—
997#550—1181no—
998#548—591no—
999#548—591no—
1000D42—591no—
1001D42—591no—
1002D42—591no—
1003D42—591no—
1004D42—591no—
1005D42—1181no—
1006D42—1181no—
1007D42—1181no—
1008D42C2×D5911yescharacteristic
1009#535—1181no—
1010#535—1181no—
1011#535—1181no—
1012#532—591no—
1013#532—591no—
1014#532—591no—
1015#532—591no—
1016#532—1181no—
1017C2×#127—591no—
1018C2×#127—591no—
1019C2×#127—591no—
1020#529—591no—
1021#529—591no—
1022#529—1181no—
1023#529—1181no—
1024C4×#41—591no—
1025C4×#41—591no—
1026C4×#41—591no—
1027C4×#41—1181no—
1028C2×C4×Q8—591no—
1029#496—591no—
1030#496—591no—
1031#496—591no—
1032#496—591no—
1033#493—591no—
1034#493—591no—
1035#490—591no—
1036#490—591no—
1037#490—591no—
1038#490C2×D5911yescharacteristic, complemented
1039#486—591no—
1040#486—591no—
1041#482—591no—
1042#482—591no—
1043#482—591no—
1044#482C2×D5911yescharacteristic, complemented
1045#481—591no—
1046#481C2×D5911yescharacteristic, complemented
1047#478—591no—
1048#478—591no—
1049#478—591no—
1050#478C2×D5911yescharacteristic, complemented
1051#475—591no—
1052#475—591no—
1053#474—591no—
1054#474—591no—
1055#474—591no—
1056#474—591no—
1057#469—591no—
1058#469—591no—
1059#469—591no—
1060#469C2×D5911yescharacteristic, complemented
1061#468—591no—
1062#468—591no—
1063#468—591no—
1064#468—591no—
1065#466—591no—
1066#466—591no—
1067#466—591no—
1068#466C2×D5911yescharacteristic, complemented
1069#463—591no—
1070#463—591no—
1071#463—591no—
1072#463—591no—
1073#460—591no—
1074#460—591no—
1075#460—591no—
1076#460—591no—
1077#460—591no—
1078#460—591no—
1079#460—591no—
1080#460—591no—
1081#460—591no—
1082#460—591no—
1083#460—591no—
1084#460—591no—
1085#460—591no—
1086#460—591no—
1087#459—591no—
1088#459—591no—
1089#459—591no—
1090#459—591no—
1091#459—591no—
1092#459—591no—
1093#459—591no—
1094#459—591no—
1095#459—591no—
1096#459—591no—
1097#459—591no—
1098#459C2×D5911yescharacteristic, complemented
1099#450—591no—
1100#450—591no—
1101#450—591no—
1102#450—591no—
1103#449—591no—
1104#449—591no—
1105#449—591no—
1106#449—591no—
1107#448—591no—
1108#448—591no—
1109#447—591no—
1110#447—591no—
1111#447—591no—
1112#447—591no—
1113#447—591no—
1114#447—591no—
1115#447C2×D5911yescharacteristic, complemented
1116#447C2×D5911yescharacteristic, complemented
1117#446—591no—
1118#446—591no—
1119#442—591no—
1120#442—591no—
1121#442—591no—
1122#442C2×D5911yescharacteristic, complemented
1123#440—591no—
1124#440—591no—
1125#440—591no—
1126#440—591no—
1127C4×SD16—591no—
1128C4×SD16—591no—
1129C4×SD16—591no—
1130C4×SD16—591no—
1131#436—591no—
1132#436—591no—
1133#435—591no—
1134#435—591no—
1135#435—591no—
1136#435C2×D5911yescharacteristic, complemented
1137#432—591no—
1138#432—591no—
1139#431—591no—
1140#423—591no—
1141#423—591no—
1142C2×C4⋊C8—591no—
1143#418—591no—
1144#418—591no—
1145#418—591no—
1146#418C2×D5911yescharacteristic, complemented
1147C2×#102—591no—
1148C2×#102C2×D5911yescharacteristic, complemented
1149C59#6196311yescharacteristic, complemented, Sylow
1150H(5,𝔽2)—2368no—
1151C2×#41—591no—
1152C2×#41—591no—
1153C2×#41—591no—
1154C2×#41—1181no—
1155C2×#41—1181no—
1156C2×#41—1181no—
1157C2×#41—1181no—
1158C2×#41—1181no—
1159C2×#41—1181no—
1160C22×Q8—591no—
1161C22×D4—21no—
1162C22×D4—591no—
1163C22×D4—591no—
1164C22×D4—591no—
1165C22×D4—591no—
1166C22×D4—1181no—
1167C22×D4—1181no—
1168C22×D4—1181no—
1169C22×D4—1181no—
1170C22×D4—1181no—
1171C22×D4—1181no—
1172C22×D4—1181no—
1173C22×D4—1181no—
1174C22×D4—1181no—
1175C22×D4—1181no—
1176C22×D4—1181no—
1177C22×D4C22×D5911yescharacteristic
1178C22×D4C22×D5911yescharacteristic
1179AGL(1,ℤ/8)—2362no—
1180AGL(1,ℤ/8)—2362no—
1181AGL(1,ℤ/8)—2362no—
1182AGL(1,ℤ/8)—2362no—
1183C2×SD16—591no—
1184C2×SD16—591no—
1185C2×SD16—591no—
1186C2×SD16—591no—
1187C2×SD16—591no—
1188C2×SD16—591no—
1189C2×SD16—591no—
1190C2×SD16—591no—
1191C2×SD16—591no—
1192C2×SD16—591no—
1193C2×SD16—591no—
1194C2×SD16—591no—
1195C2×SD16—2362no—
1196C2×SD16—2362no—
1197C2×D8—591no—
1198C2×D8—591no—
1199C2×D8—591no—
1200C2×D8—591no—
1201C2×D8—591no—
1202C2×D8—591no—
1203C2×D8—591no—
1204C2×D8—591no—
1205C2×D8—591no—
1206C2×D8C22×D5911yescharacteristic
1207C2×D8C22×D5911yescharacteristic
1208C2×D8C22×D5911yescharacteristic
1209C2×M16—591no—
1210C2×M16—591no—
1211C2×M16—591no—
1212C2×M16C22×D5911yescharacteristic
1213C22×C8—591no—
1214C22×C8C22×D5911yescharacteristic
1215C4⋊Q8—591no—
1216C4⋊Q8—591no—
1217C4⋊Q8—1181no—
1218#127—591no—
1219#127—591no—
1220#127—591no—
1221#127—591no—
1222#127—591no—
1223#127—591no—
1224#127—591no—
1225#127—591no—
1226#127—591no—
1227#127—1181no—
1228#127—1181no—
1229#127—1181no—
1230#127—1181no—
1231#127—1181no—
1232#127—1181no—
1233#127—1181no—
1234#127C22×D5911yescharacteristic
1235#126—21no—
1236#126—1181no—
1237#126—1181no—
1238#126—1181no—
1239#126—1181no—
1240#126—1181no—
1241#125—591no—
1242#125—1181no—
1243#125—1181no—
1244#125C22×D5911yescharacteristic
1245#124—591no—
1246#124—591no—
1247#124—1181no—
1248#124—1181no—
1249#124—1181no—
1250#124—1181no—
1251#124—1181no—
1252#124—1181no—
1253#124—1181no—
1254#124—1181no—
1255#123—21no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261C22⋊Q8—591no—
1262C22⋊Q8—591no—
1263C22⋊Q8—1181no—
1264C22⋊Q8—1181no—
1265#121—21no—
1266#121—21no—
1267#121—591no—
1268#121—591no—
1269#121—591no—
1270#121—591no—
1271#121—591no—
1272#121—591no—
1273#121—1181no—
1274#121—1181no—
1275#121—1181no—
1276#121—1181no—
1277#121—1181no—
1278#121—1181no—
1279#121—1181no—
1280#121—1181no—
1281#121—1181no—
1282#121—1181no—
1283#121—1181no—
1284#121—1181no—
1285#121—1181no—
1286#121—1181no—
1287#121—1181no—
1288#121—1181no—
1289#121—1181no—
1290#121—1181no—
1291#121—1181no—
1292#121—1181no—
1293#121C22×D5911yescharacteristic
1294#121C22×D5911yescharacteristic
1295#121C22×D5911yescharacteristic
1296#121C22×D5911yescharacteristic
1297#120—21no—
1298#120—21no—
1299#120—1181no—
1300#120—1181no—
1301#120—1181no—
1302#120—1181no—
1303#120—1181no—
1304#120—1181no—
1305#120—1181no—
1306#120—1181no—
1307#120—1181no—
1308#120—1181no—
1309C4×Q8—591no—
1310C4×Q8—591no—
1311C4×Q8—591no—
1312C4×Q8—591no—
1313C4×Q8—591no—
1314C4×Q8—591no—
1315C4×Q8—591no—
1316C4×Q8—591no—
1317C4×Q8—1181no—
1318C4×Q8—1181no—
1319C4×Q8—1181no—
1320C4×Q8—1181no—
1321C4×D4—21no—
1322C4×D4—591no—
1323C4×D4—591no—
1324C4×D4—591no—
1325C4×D4—591no—
1326C4×D4—591no—
1327C4×D4—591no—
1328C4×D4—591no—
1329C4×D4—591no—
1330C4×D4—591no—
1331C4×D4—591no—
1332C4×D4—591no—
1333C4×D4—591no—
1334C4×D4—591no—
1335C4×D4—1181no—
1336C4×D4—1181no—
1337C4×D4—1181no—
1338C4×D4—1181no—
1339C4×D4—1181no—
1340C4×D4—1181no—
1341C4×D4—1181no—
1342C4×D4—1181no—
1343C4×D4—1181no—
1344C4×D4—1181no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347C4×D4—1181no—
1348C4×D4—1181no—
1349C4×D4—1181no—
1350C4×D4C22×D5911yescharacteristic
1351C4×D4C22×D5911yescharacteristic
1352C4×D4C22×D5911yescharacteristic
1353#117—591no—
1354#117—591no—
1355#117—591no—
1356#117—591no—
1357#117—1181no—
1358#117—1181no—
1359#117—1181no—
1360#117—1181no—
1361#117C22×D5911yescharacteristic
1362C2×C4⋊C4—1181no—
1363C2×C4⋊C4C22×D5911yescharacteristic
1364C2×C42—591no—
1365C2×C42—591no—
1366C2×C42—591no—
1367C2×C42—1181no—
1368C2×C42—1181no—
1369C2×C42—1181no—
1370#107—591no—
1371#107—591no—
1372#107—591no—
1373#107C22×D5911yescharacteristic
1374#106—591no—
1375#106—591no—
1376#106C22×D5911yescharacteristic
1377#106C22×D5911yescharacteristic
1378C4⋊C8—591no—
1379C4⋊C8—591no—
1380C4⋊C8—591no—
1381C4⋊C8—591no—
1382C4⋊C8—591no—
1383C4⋊C8—591no—
1384C4⋊C8—591no—
1385C4⋊C8—591no—
1386C4⋊C8—591no—
1387C4⋊C8C22×D5911yescharacteristic
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#102—591no—
1393#102—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102C22×D5911yescharacteristic
1411#102C22×D5911yescharacteristic
1412#102C22×D5911yescharacteristic
1413#102C22×D5911yescharacteristic
1414#102C22×D5911yescharacteristic
1415#102C22×D5911yescharacteristic
1416#102C22×D5911yescharacteristic
1417#102C22×D5911yescharacteristic
1418#102C22×D5911yescharacteristic
1419#102C22×D5911yescharacteristic
1420C22⋊C8—591no—
1421C22⋊C8—591no—
1422C22⋊C8—591no—
1423C22⋊C8—591no—
1424C22⋊C8C22×D5911yescharacteristic
1425C22⋊C8C22×D5911yescharacteristic
1426#97—591no—
1427#97—591no—
1428#97—591no—
1429#97C22×D5911yescharacteristic
1430C4×C8—591no—
1431C4×C8—591no—
1432C24—21no—
1433C24—21no—
1434C24—1181no—
1435C24—1181no—
1436C24—1181no—
1437C24—1181no—
1438#41—1182no—
1439#41—1184no—
1440#41—1182no—
1441#41—2361no—
1442#41—2364no—
1443#41—2364no—
1444#41—2364no—
1445#41—2364no—
1446#41—2361no—
1447#41—2364no—
1448#41—2364no—
1449C2×Q8—591no—
1450C2×Q8—591no—
1451C2×Q8—591no—
1452C2×Q8—1181no—
1453C2×Q8—1181no—
1454C2×Q8—1182no—
1455C2×Q8—1181no—
1456C2×Q8—2361no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—21no—
1465C2×D4—41no—
1466C2×D4—41no—
1467C2×D4—41no—
1468C2×D4—41no—
1469C2×D4—44no—
1470C2×D4—591no—
1471C2×D4—591no—
1472C2×D4—591no—
1473C2×D4—591no—
1474C2×D4—591no—
1475C2×D4—591no—
1476C2×D4—1181no—
1477C2×D4—1181no—
1478C2×D4—1181no—
1479C2×D4—1181no—
1480C2×D4—1181no—
1481C2×D4—1181no—
1482C2×D4—1181no—
1483C2×D4—1181no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—1181no—
1490C2×D4—1181no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—4722no—
1507C2×D4—4722no—
1508C2×D4—4722no—
1509C2×D4—2361no—
1510C2×D4—2361no—
1511C2×D4—2361no—
1512C2×D4—2361no—
1513C2×D4—2364no—
1514C2×D4—2361no—
1515C2×D4—2361no—
1516C2×D4—2361no—
1517C2×D4—2361no—
1518C2×D4—2364no—
1519C2×D4—2364no—
1520C2×D4—2364no—
1521C2×D4—2364no—
1522C2×D4—2364no—
1523C2×D4—2364no—
1524C2×D4—2364no—
1525C2×D4D4×D5911yescharacteristic
1526C2×D4C23×D5911yescharacteristic
1527C2×D4C23×D5911yescharacteristic
1528C2×D4C23×D5911yescharacteristic
1529C2×D4C23×D5911yescharacteristic
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—591no—
1534C22×C4—591no—
1535C22×C4—591no—
1536C22×C4—591no—
1537C22×C4—591no—
1538C22×C4—591no—
1539C22×C4—591no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—1181no—
1549C22×C4—1181no—
1550C22×C4—1181no—
1551C22×C4C23×D5911yescharacteristic
1552C22×C4C23×D5911yescharacteristic
1553SD16—1182no—
1554SD16—1182no—
1555SD16—1182no—
1556SD16—1182no—
1557SD16—1182no—
1558SD16—1182no—
1559SD16—2361no—
1560SD16—2361no—
1561SD16—2361no—
1562SD16—2361no—
1563SD16—2361no—
1564SD16—2361no—
1565D8—41no—
1566D8—41no—
1567D8—41no—
1568D8—2361no—
1569D8—2361no—
1570D8—2361no—
1571D8—2361no—
1572D8—2361no—
1573D8—2361no—
1574D8—2361no—
1575D8—2361no—
1576D8—2361no—
1577M16—41no—
1578M16—2361no—
1579M16—2361no—
1580M16—2361no—
1581C2×C8—41no—
1582C2×C8—591no—
1583C2×C8—591no—
1584C2×C8—591no—
1585C2×C8—591no—
1586C2×C8—2361no—
1587C2×C8C23×D5911yescharacteristic
1588C2×C8C23×D5911yescharacteristic
1589C2×C8C23×D5911yescharacteristic
1590C2×C8C23×D5911yescharacteristic
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—591no—
1595C4⋊C4—591no—
1596C4⋊C4—591no—
1597C4⋊C4—591no—
1598C4⋊C4—591no—
1599C4⋊C4—591no—
1600C4⋊C4—591no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4—1181no—
1613C4⋊C4D4×D5911yescharacteristic
1614C4⋊C4C23×D5911yescharacteristic
1615C4⋊C4C23×D5911yescharacteristic
1616C4⋊C4C23×D5911yescharacteristic
1617C4⋊C4C23×D5911yescharacteristic
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—591no—
1626C22⋊C4—591no—
1627C22⋊C4—591no—
1628C22⋊C4—591no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4—1181no—
1650C22⋊C4D4×D5911yescharacteristic
1651C22⋊C4D4×D5911yescharacteristic
1652C42—21no—
1653C42—591no—
1654C42—591no—
1655C42—591no—
1656C42—591no—
1657C42—591no—
1658C42—591no—
1659C42—591no—
1660C42—591no—
1661C42—591no—
1662C42—1181no—
1663C42—1181no—
1664C42—1181no—
1665C42—1181no—
1666C42—1181no—
1667C42—1181no—
1668C42—1181no—
1669C42C23×D5911yescharacteristic
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—42no—
1675C23—42no—
1676C23—81no—
1677C23—81no—
1678C23—81no—
1679C23—81no—
1680C23—591no—
1681C23—1181no—
1682C23—1181no—
1683C23—1181no—
1684C23—1181no—
1685C23—4721no—
1686C23—4721no—
1687C23—4721no—
1688C23—4721no—
1689C23—4721no—
1690C23—4721no—
1691C23—4721no—
1692C23—4721no—
1693C23—2362no—
1694C23—2362no—
1695C23—2362no—
1696C23—2362no—
1697C23C2×D4×D5911yescharacteristic
1698C23C2×D4×D5911yescharacteristic
1699Q8—592no—
1700Q8—1182no—
1701Q8—1181no—
1702Q8—1181no—
1703Q8—1181no—
1704Q8—2362no—
1705Q8—2362no—
1706Q8—2362no—
1707D4—22no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—21no—
1714D4—21no—
1715D4—21no—
1716D4—42no—
1717D4—42no—
1718D4—42no—
1719D4—42no—
1720D4—81no—
1721D4—81no—
1722D4—81no—
1723D4—81no—
1724D4—1182no—
1725D4—1182no—
1726D4—1181no—
1727D4—1181no—
1728D4—1181no—
1729D4—1181no—
1730D4—1181no—
1731D4—1181no—
1732D4—1181no—
1733D4—1181no—
1734D4—4721no—
1735D4—4721no—
1736D4—4721no—
1737D4—4721no—
1738D4—4721no—
1739D4—4721no—
1740D4—4721no—
1741D4—4721no—
1742D4—4721no—
1743D4—4721no—
1744D4—4721no—
1745D4—2362no—
1746D4—2362no—
1747D4—2362no—
1748D4—2362no—
1749D4—2362no—
1750D4—2362no—
1751D4—2362no—
1752D4—2362no—
1753D4—2362no—
1754D4—2362no—
1755D4—2362no—
1756D4—2362no—
1757D4—2362no—
1758D4—2362no—
1759D4—2362no—
1760D4—2362no—
1761D4—2362no—
1762D4—2362no—
1763D4—2362no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—42no—
1773C2×C4—81no—
1774C2×C4—81no—
1775C2×C4—594no—
1776C2×C4—591no—
1777C2×C4—591no—
1778C2×C4—591no—
1779C2×C4—591no—
1780C2×C4—591no—
1781C2×C4—591no—
1782C2×C4—591no—
1783C2×C4—1182no—
1784C2×C4—1182no—
1785C2×C4—1181no—
1786C2×C4—1181no—
1787C2×C4—1181no—
1788C2×C4—1181no—
1789C2×C4—1181no—
1790C2×C4—1181no—
1791C2×C4—4721no—
1792C2×C4—2361no—
1793C2×C4—2362no—
1794C2×C4—2362no—
1795C2×C4—2362no—
1796C2×C4—2362no—
1797C2×C4—2362no—
1798C2×C4—2362no—
1799C2×C4—2362no—
1800C2×C4—2361no—
1801C2×C4—2361no—
1802C2×C4—2362no—
1803C2×C4—2362no—
1804C2×C4—2362no—
1805C2×C4C2×D4×D5911yescharacteristic
1806C2×C4C2×D4×D5911yescharacteristic
1807C2×C4C2×D4×D5911yescharacteristic
1808C2×C4C2×D4×D5911yescharacteristic
1809C2×C4C24×D5911yescharacteristic
1810C8—21no—
1811C8—21no—
1812C8—21no—
1813C8—21no—
1814C8—1181no—
1815C8—1181no—
1816C8—1181no—
1817C8—1181no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—162no—
1836C22—162no—
1837C22—1181no—
1838C22—1181no—
1839C22—1181no—
1840C22—9442no—
1841C22—9442no—
1842C22—9442no—
1843C22—9442no—
1844C22—2361no—
1845C22—2361no—
1846C22—2361no—
1847C22—2361no—
1848C22—2361no—
1849C22—2361no—
1850C22—2361no—
1851C22—2361no—
1852C22—2361no—
1853C22—2361no—
1854C22—2361no—
1855C22—2361no—
1856C22AGL(1,ℤ/8)×D5912yes—
1857C22C22×D4×D5911yescharacteristic
1858C4—21no—
1859C4—21no—
1860C4—21no—
1861C4—21no—
1862C4—41no—
1863C4—41no—
1864C4—41no—
1865C4—41no—
1866C4—592no—
1867C4—592no—
1868C4—1181no—
1869C4—1182no—
1870C4—1181no—
1871C4—1181no—
1872C4—1181no—
1873C4—1181no—
1874C4—2361no—
1875C4—2361no—
1876C4—2361no—
1877C4H(5,𝔽2)×D5911yescharacteristic
1878C4#1683823811yescharacteristic
1879C2—22no—
1880C2—41no—
1881C2—81no—
1882C2—81no—
1883C2—81no—
1884C2—81no—
1885C2—4721no—
1886C2—4721no—
1887C2—4721no—
1888C2—4721no—
1889C2—2361no—
1890C2#2143775911yescharacteristic
1891C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1892C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3318C2
socleC22×C59C23×D4
hypercenter#3318D59
hypocenterC59#61963
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #21437868C2semidirect
2. #21437690C2semidirect
3. #21437141C2semidirect
4. #21437139C2semidirect
5. #21436828C2semidirect
6. #21436822C2semidirect
7. #21436325C2semidirect
8. #21436323C2semidirect
9. #21436235C2semidirect
10. #21436233C2semidirect
11. #21436231C2semidirect
12. #21435714C2semidirect
13. #21435713C2semidirect
14. #21435596C2semidirect
15. #21435595C2semidirect
16. #21435588C2semidirect
17. #21435587C2semidirect
18. #21435457C2semidirect
19. #21435451C2semidirect
20. #21435402C2semidirect
21. #21435115C2semidirect
22. #21435112C2semidirect
23. #21435012C2semidirect
24. #21434243C2semidirect
25. #21434242C2semidirect
26. #21434124C2semidirect
27. #21433575C2semidirect
28. #21433571C2semidirect
29. C2×#16837601C2semidirect
30. #21433208C2semidirect
31. C59×#3318C2semidirect
33. C2×#14273755C22semidirect
34. C2×#14273753C22semidirect
35. C2×#14273751C22semidirect
36. C2×#14273751C22semidirect
37. C22×#11745660C22semidirect
38. C22×#11745670C22semidirect
40. #16838135C22semidirect
41. #16838129C22semidirect
42. #16838120C22semidirect
45. #16838100C22semidirect
50. #16838070C22semidirect
51. #16838061C22semidirect
52. #16838058C22semidirect
68. #16837947C22semidirect
72. #16837937C22semidirect
74. #16837933C22semidirect
76. #16837870C22semidirect
79. C4×#11745687C22semidirect
80. C2×#14273692C22semidirect
81. #16837791C22semidirect
82. #16837790C22semidirect
83. #16837790C22semidirect
84. #16837789C22semidirect
85. #16837777C22semidirect
86. #16837777C22semidirect
87. #16837768C22semidirect
88. #16837765C22semidirect
89. #16837765C22semidirect
90. #16837747C22semidirect
91. #16837747C22semidirect
92. #16837728C22semidirect
93. #16837726C22semidirect
94. #16837724C22semidirect
95. #16837720C22semidirect
96. #16837701C22semidirect
97. #16837700C22semidirect
98. #16837699C22semidirect
99. #16837686C22semidirect
100. #16837686C22semidirect
101. #16837681C22semidirect
102. #16837681C22semidirect
103. #16837680C22semidirect
104. #16837680C22semidirect
105. #16837656C22semidirect
106. #16837654C22semidirect
107. #16837653C22semidirect
108. #16837649C22semidirect
109. #16837648C22semidirect
110. #16837647C22semidirect
111. #16837646C22semidirect
112. #16837638C22semidirect
113. #16837636C22semidirect
114. #16837636C22semidirect
115. #16837618C22semidirect
116. #16837617C22semidirect
117. #16837616C22semidirect
118. #16837615C22semidirect
119. #16837603C22semidirect
120. #16837601C22semidirect
121. #16837601C22semidirect
122. #16837601C22semidirect
123. #16837601C22semidirect
124. #16837601C22semidirect
125. #16837601C22semidirect
126. #16837601C22semidirect
127. #16837601C22semidirect
128. #16837601C22semidirect
129. #16837601C22semidirect
130. #16837601C22semidirect
131. #16837601C22semidirect
132. #16837599C22semidirect
133. #16837597C22semidirect
134. #16837596C22semidirect
135. #16837596C22semidirect
136. #16837596C22semidirect
137. #16837596C22semidirect
138. #16837596C22semidirect
139. #16837596C22semidirect
140. #16837595C22semidirect
141. #16837595C22semidirect
142. #16837595C22semidirect
143. #16837595C22semidirect
144. #16837555C22semidirect
145. #16837554C22semidirect
146. #16837554C22semidirect
147. #16837553C22semidirect
148. #16837549C22semidirect
149. #16837548C22semidirect
150. #16837545C22semidirect
151. #16837544C22semidirect
152. #16837543C22semidirect
153. #16837540C22semidirect
154. #16837538C22semidirect
155. #16837537C22semidirect
156. #16837537C22semidirect
157. #16837536C22semidirect
158. #16837535C22semidirect
159. #16837535C22semidirect
160. #16837531C22semidirect
161. #16837530C22semidirect
162. #16837513C22semidirect
163. #16837512C22semidirect
164. #16837511C22semidirect
165. #16837504C22semidirect
166. #16837502C22semidirect
167. #16837501C22semidirect
168. #16837499C22semidirect
169. #16837493C22semidirect
170. #16837493C22semidirect
171. #16837489C22semidirect
172. #16837489C22semidirect
173. #16837478C22semidirect
174. #16837477C22semidirect
175. #16837474C22semidirect
176. #16837473C22semidirect
177. #16837470C22semidirect
178. #16837457C22semidirect
179. #16837456C22semidirect
180. #16837452C22semidirect
181. #16837425C22semidirect
182. #16837424C22semidirect
183. C2×Dic59⋊C8C22semidirect
184. #16837406C22semidirect
185. #16837405C22semidirect
186. #16837405C22semidirect
187. C2×#14273647C22semidirect
188. C59×#553C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
192. C59×#481C22semidirect
193. C59×#478C22semidirect
194. C59×#469C22semidirect
195. C59×#466C22semidirect
196. C59×#459C22semidirect
197. C59×#447C22semidirect
198. C59×#447C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C2×#102×C59C22semidirect
823. C2×Dic59AGL(1,ℤ/8)semidirect
862. Dic118H(5,𝔽2)semidirect
944. #3318D59semidirect
993. #553C2×D59semidirect
1038. #490C2×D59semidirect
1044. #482C2×D59semidirect
1046. #481C2×D59semidirect
1050. #478C2×D59semidirect
1060. #469C2×D59semidirect
1068. #466C2×D59semidirect
1098. #459C2×D59semidirect
1115. #447C2×D59semidirect
1116. #447C2×D59semidirect
1122. #442C2×D59semidirect
1136. #435C2×D59semidirect
1146. #418C2×D59semidirect
1148. C2×#102C2×D59semidirect
1149. C59#61963semidirect

Maximal subgroups

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

subgroupindex
#214378682
#214376902
#214371412
#214371392
#214368282
#214368222
#214363252
#214363232
#214362352
#214362332
#214362312
#214357142
#214357132
#214355962
#214355952
#214355882
#214355872
#214354572
#214354512
#214354022
#214351152
#214351122
#214350122
#214342432
#214342422
#214341242
#214335752
#214335712
C2×#168376012
#214332082
C59×#33182
#6196359