Finite Group Databasebeta

← #29481027

Subgroups — #29481027

Order 15104.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1892 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437964C211yesmaximal, characteristic, complemented
2D4×#11745687C211yesmaximal, characteristic, complemented
3#21437141C211yesmaximal, characteristic, complemented
4#21437135C211yesmaximal, characteristic, complemented
5#21436889C211yesmaximal, characteristic, complemented
6#21436883C211yesmaximal, characteristic, complemented
7#21436418C211yesmaximal, characteristic, complemented
8#21436416C211yesmaximal, characteristic, complemented
9#21436063C211yesmaximal, characteristic, complemented
10#21436061C211yesmaximal, characteristic, complemented
11#21436059C211yesmaximal, characteristic, complemented
12#21436057C211yesmaximal, characteristic, complemented
13#21435714C211yesmaximal, characteristic, complemented
14#21435710C211yesmaximal, characteristic, complemented
15#21435580C211yesmaximal, characteristic, complemented
16#21435576C211yesmaximal, characteristic, complemented
17#21435572C211yesmaximal, characteristic, complemented
18#21435475C211yesmaximal, characteristic, complemented
19#21435473C211yesmaximal, characteristic, complemented
20#21435407C211yesmaximal, characteristic, complemented
21#21435088C211yesmaximal, characteristic, complemented
22#21435086C211yesmaximal, characteristic, complemented
23#21435012C211yesmaximal, characteristic, complemented
24#21434185C211yesmaximal, characteristic, complemented
25#21434182C211yesmaximal, characteristic, complemented
26#21434099C211yesmaximal, characteristic, complemented
27#21433558C211yesmaximal, characteristic, complemented
28#21433557C211yesmaximal, characteristic, complemented
29C2×#16837595C211yesmaximal, characteristic, complemented
30#21433208C211yesmaximal, characteristic, complemented
31C59×#3264C211yesmaximal, characteristic, complemented
32C22×#11745687—21no—
33C2×#14273754C2211yescharacteristic, complemented
34C2×#14273753C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C22×#11745669C2211yescharacteristic
37#16838136—21no—
38#16838135C2211yescharacteristic, complemented
39#16838134C2211yescharacteristic, complemented
40#16838072C2211yescharacteristic, complemented
41#16838071C2211yescharacteristic, complemented
42#16838070—21no—
43#16838070C2211yescharacteristic, complemented
44D4×Dic118C2211yescharacteristic, complemented
45#16838058—21no—
46#16838056C2211yescharacteristic
47#16838052C2211yescharacteristic
48#16838052C2211yescharacteristic, complemented
49#16838048C2211yescharacteristic, complemented
50#16838046—21no—
51#16838046C2211yescharacteristic, complemented
52#16838043C2211yescharacteristic, complemented
53#16838042—21no—
54#16838039—21no—
55#16838039—21no—
56#16838039—21no—
57D4×C22⋊D59C2211yescharacteristic
58D4×C22⋊D59C2211yescharacteristic, complemented
59#16838004—21no—
60#16838002—21no—
61#16837967—21no—
62#16837954C2211yescharacteristic, complemented
63#16837951C2211yescharacteristic, complemented
64#16837950C2211yescharacteristic, complemented
65#16837949C2211yescharacteristic, complemented
66#16837948C2211yescharacteristic, complemented
67#16837947C2211yescharacteristic
68#16837947C2211yescharacteristic, complemented
69#16837947C2211yescharacteristic, complemented
70C2×#14273723C2211yescharacteristic, complemented
71#16837912—21no—
72#16837908—21no—
73#16837908—21no—
74#16837875—21no—
75C4×#11745687C2211yescharacteristic
76C2×D4×Dic59C2211yescharacteristic
77C2×D4×Dic59C2211yescharacteristic, complemented
78C4×D4×D59C2211yescharacteristic, complemented
79#16837790C2211yescharacteristic, complemented
80#16837789C2211yescharacteristic, complemented
81#16837788C2211yescharacteristic, complemented
82#16837777C2211yescharacteristic, complemented
83#16837777C2211yescharacteristic, complemented
84#16837763C2211yescharacteristic, complemented
85#16837762C2211yescharacteristic, complemented
86#16837761C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837733C2211yescharacteristic, complemented
91#16837730C2211yescharacteristic, complemented
92#16837722C2211yescharacteristic, complemented
93#16837721C2211yescharacteristic, complemented
94#16837719C2211yescharacteristic, complemented
95#16837718C2211yescharacteristic, complemented
96#16837693C2211yescharacteristic, complemented
97#16837692C2211yescharacteristic, complemented
98#16837691C2211yescharacteristic, complemented
99#16837691C2211yescharacteristic, complemented
100#16837690C2211yescharacteristic, complemented
101#16837690C2211yescharacteristic, complemented
102#16837690C2211yescharacteristic, complemented
103#16837690C2211yescharacteristic, complemented
104#16837686C2211yescharacteristic, complemented
105#16837685C2211yescharacteristic, complemented
106#16837655C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic, complemented
108#16837654C2211yescharacteristic, complemented
109#16837653C2211yescharacteristic, complemented
110#16837653C2211yescharacteristic, complemented
111#16837652C2211yescharacteristic, complemented
112#16837652C2211yescharacteristic, complemented
113#16837633C2211yescharacteristic, complemented
114#16837631C2211yescharacteristic, complemented
115#16837629C2211yescharacteristic, complemented
116#16837619C2211yescharacteristic, complemented
117#16837619C2211yescharacteristic, complemented
118#16837618C2211yescharacteristic, complemented
119#16837617C2211yescharacteristic, complemented
120#16837615C2211yescharacteristic, complemented
121#16837615C2211yescharacteristic, complemented
122#16837614C2211yescharacteristic, complemented
123#16837606C2211yescharacteristic, complemented
124#16837605C2211yescharacteristic, complemented
125#16837605C2211yescharacteristic, complemented
126#16837605C2211yescharacteristic, complemented
127#16837601C2211yescharacteristic, complemented
128#16837600C2211yescharacteristic, complemented
129#16837596C2211yescharacteristic, complemented
130#16837596C2211yescharacteristic, complemented
131#16837596C2211yescharacteristic, complemented
132#16837595C2211yescharacteristic
133#16837595C2211yescharacteristic
134#16837595C2211yescharacteristic
135#16837595C2211yescharacteristic
136#16837595C2211yescharacteristic, complemented
137#16837595C2211yescharacteristic, complemented
138#16837595C2211yescharacteristic, complemented
139#16837595C2211yescharacteristic, complemented
140#16837595C2211yescharacteristic, complemented
141#16837595C2211yescharacteristic, complemented
142#16837595C2211yescharacteristic, complemented
143#16837594C2211yescharacteristic, complemented
144#16837553C2211yescharacteristic
145#16837549C2211yescharacteristic, complemented
146#16837547C2211yescharacteristic, complemented
147#16837546C2211yescharacteristic, complemented
148#16837546C2211yescharacteristic, complemented
149#16837545C2211yescharacteristic, complemented
150#16837544C2211yescharacteristic, complemented
151#16837544C2211yescharacteristic, complemented
152#16837538C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic, complemented
154#16837536C2211yescharacteristic, complemented
155#16837536C2211yescharacteristic, complemented
156#16837535C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837531C2211yescharacteristic, complemented
159#16837530C2211yescharacteristic, complemented
160#16837515C2211yescharacteristic, complemented
161#16837514C2211yescharacteristic, complemented
162#16837514C2211yescharacteristic, complemented
163#16837512C2211yescharacteristic, complemented
164#16837512C2211yescharacteristic, complemented
165#16837511C2211yescharacteristic, complemented
166#16837511C2211yescharacteristic, complemented
167#16837493C2211yescharacteristic, complemented
168#16837493C2211yescharacteristic, complemented
169SD16×Dic59C2211yescharacteristic, complemented
170SD16×Dic59C2211yescharacteristic, complemented
171#16837478C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837474C2211yescharacteristic, complemented
174#16837473C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837457C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837452C2211yescharacteristic, complemented
179#16837425C2211yescharacteristic, complemented
180#16837424C2211yescharacteristic, complemented
181C2×Dic59⋊C8C2211yescharacteristic, complemented
182#16837404C2211yescharacteristic, complemented
183#16837403C2211yescharacteristic, complemented
184#16837402C2211yescharacteristic, complemented
185#16837400C2211yescharacteristic, complemented
186C2×#14273649C2211yescharacteristic, complemented
187C2×#14273648C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C22×D8×C59C2211yescharacteristic
190C59×#546C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic
192C59×#496C2211yescharacteristic, complemented
193C59×#469C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic
198C59×#449C2211yescharacteristic, complemented
199C59×#447C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#442C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C2×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687—21no—
212C2×#11745687—21no—
213C2×#11745687—21no—
214C2×#11745687—48no—
215C2×#11745687D411yescharacteristic
216C2×#11745687C2311yescharacteristic
217C22×Dic118—21no—
218C22×D236C2311yescharacteristic
219C22×C22⋊D59—21no—
220C22×C22⋊D59—21no—
221C22×C22⋊D59—21no—
222C22×C22⋊D59—21no—
223C2×D4×D59C2311yescharacteristic
224C23×Dic59—21no—
225C23×Dic59—21no—
226C22×C4×D59—21no—
227#14273754—42no—
228#14273753—42no—
229#14273751—42no—
230C2×#11745660C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235C2×D472C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×#11745669—42no—
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244C2×#11745669C2311yescharacteristic
245C2×#11745669C2311yescharacteristic
246C2×#11745664C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C22×C59⋊C8C2311yescharacteristic
250#14273727C2311yescharacteristic
251#14273726C2311yescharacteristic
252#14273726C2311yescharacteristic
253#14273726C2311yescharacteristic
254#14273725C2311yescharacteristic
255#14273723—21no—
256#14273723—21no—
257#14273723—21no—
258#14273723—21no—
259#14273723C2311yescharacteristic
260#14273723C2311yescharacteristic
261#14273723C2311yescharacteristic
262#14273723C2311yescharacteristic
263#14273723C2311yescharacteristic
264#14273723C2311yescharacteristic
265#14273717—21no—
266#14273716C2311yescharacteristic
267#14273715C2311yescharacteristic
268#14273714—21no—
269#14273714C2311yescharacteristic
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273712—21no—
277#14273712—21no—
278#14273711—21no—
279#14273711—21no—
280#14273711—21no—
281#14273710—21no—
282#14273709—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273708—21no—
287#14273708—21no—
288#14273708—21no—
289#14273707—21no—
290#14273706—21no—
291#14273706C2311yescharacteristic
292#14273704—21no—
293#14273704—21no—
294#14273704—21no—
295#14273704—21no—
296#14273704—21no—
297#14273702—21no—
298#14273702C2311yescharacteristic
299#14273701—21no—
300#14273701C2311yescharacteristic
301#14273701C2311yescharacteristic
302#14273701C2311yescharacteristic
303#14273700—21no—
304#14273700—21no—
305#14273700—21no—
306#14273700—21no—
307#14273700—21no—
308#14273699—21no—
309#14273699—21no—
310#14273699—21no—
311#14273699—21no—
312#14273699—21no—
313#14273699—21no—
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273698—21no—
320#14273698—21no—
321#14273698—21no—
322#14273698C2311yescharacteristic
323#14273698C2311yescharacteristic
324#14273698C2311yescharacteristic
325#14273697—21no—
326#14273696—21no—
327#14273696—21no—
328#14273696—21no—
329#14273695—21no—
330#14273695—21no—
331#14273695—21no—
332Q8×Dic59C2311yescharacteristic
333C4×Dic118C2311yescharacteristic
334#14273692—21no—
335#14273692D411yescharacteristic
336#14273692C2311yescharacteristic
337C4×D236C2311yescharacteristic
338C4×D236C2311yescharacteristic
339D4×Dic59—21no—
340D4×Dic59—21no—
341D4×Dic59—21no—
342D4×Dic59—21no—
343D4×Dic59—21no—
344D4×Dic59D411yescharacteristic
345D4×Dic59C2311yescharacteristic
346D4×Dic59C2311yescharacteristic
347D4×Dic59C2311yescharacteristic
348D4×Dic59C2311yescharacteristic
349D4×Dic59C2311yescharacteristic
350D4×Dic59C2311yescharacteristic
351D4×Dic59C2311yescharacteristic
352D4×Dic59C2311yescharacteristic
353#14273689C2311yescharacteristic
354#14273689C2311yescharacteristic
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59—21no—
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59C2311yescharacteristic
362C4×C22⋊D59C2311yescharacteristic
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4—21no—
369(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4D411yescharacteristic
372(C22⋊D59)⋊C4D411yescharacteristic
373#14273685D411yescharacteristic
374#14273683—21no—
375#14273683D411yescharacteristic
376#14273683D411yescharacteristic
377C2×C4⋊Dic59C2311yescharacteristic
378C2×C4⋊Dic59C2311yescharacteristic
379C4⋊C4×D59C2311yescharacteristic
380C2×C22⋊Dic59—21no—
381C2×C22⋊Dic59—21no—
382C2×C22⋊Dic59—21no—
383C22⋊C4×D59—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C2×C4×Dic59C2311yescharacteristic
387C2×C4×Dic59C2311yescharacteristic
388C42×D59C2311yescharacteristic
389#14273659C2311yescharacteristic
390#14273659C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396C4⋊(C59⋊C8)C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435#14273638C2311yescharacteristic
436#14273637C2311yescharacteristic
437#14273637C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C8×Dic59C2311yescharacteristic
440C2×#41×C59C2311yescharacteristic
441C22×D4×C59—21no—
442C22×D4×C59C2311yescharacteristic
443C22×D4×C59C2311yescharacteristic
444C22×D4×C59C2311yescharacteristic
445AGL(1,ℤ/8)×C59—42no—
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×D8×C59—42no—
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×D8×C59C2311yescharacteristic
455C2×D8×C59C2311yescharacteristic
456C2×M16×C59C2311yescharacteristic
457C22×C8×C59C2311yescharacteristic
458#127×C59C2311yescharacteristic
459#124×C59C2311yescharacteristic
460#123×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic
462#121×C59—21no—
463#121×C59—21no—
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467#120×C59—21no—
468#120×C59—21no—
469#120×C59—21no—
470C4×D4×C59C2311yescharacteristic
471C4×D4×C59C2311yescharacteristic
472C4×D4×C59C2311yescharacteristic
473C2×C22⋊C4×C59—21no—
474#106×C59C2311yescharacteristic
475C4⋊C8×C59C2311yescharacteristic
476#103×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—
487C24×C59—21no—
488C23×D59—21no—
489C23×D59—21no—
490#41×C59—41no—
491#41×C59—41no—
492C2×Q8×C59C2411yescharacteristic
493C2×D4×C59—22no—
494C2×D4×C59—22no—
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×C59—21no—
504C2×D4×C59—41no—
505C2×D4×C59—41no—
506C2×D4×C59—41no—
507C2×D4×C59—41no—
508C2×D4×C59—44no—
509C2×D4×C59C2×D411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59C2411yescharacteristic
519C22×C4×C59C2411yescharacteristic
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—21no—
539C2×C22⋊D59—21no—
540C2×C22⋊D59—21no—
541C2×C22⋊D59—44no—
542C2×C22⋊D59—44no—
543C2×C22⋊D59—44no—
544C2×C22⋊D59—82no—
545C2×C22⋊D59C2×D411yescharacteristic
546C2×C22⋊D59C2×D411yescharacteristic
547C22×Dic59—21no—
548C22×Dic59—21no—
549C22×Dic59—21no—
550C22×Dic59—21no—
551C22×Dic59—21no—
552C22×Dic59—21no—
553C22×Dic59—21no—
554C22×Dic59—21no—
555C22×Dic59—21no—
556C22×Dic59—21no—
557C22×Dic59—21no—
558C22×Dic59—44no—
559C22×Dic59—44no—
560C22×Dic59C2×D411yescharacteristic
561C22×Dic59C2×D411yescharacteristic
562C22×Dic59C2×D411yescharacteristic
563C22×Dic59C2×D411yescharacteristic
564#11745689—41no—
565#11745689—41no—
566#11745687—24no—
567#11745687—41no—
568#11745687—41no—
569#11745687—44no—
570#11745687—44no—
571#11745687—44no—
572#11745687—44no—
573#11745687—44no—
574#11745687—44no—
575#11745687—44no—
576#11745687—82no—
577D4×D59—22no—
578D4×D59—41no—
579#11745685—41no—
580#11745685—41no—
581#11745685—82no—
582C2×D236—21no—
583C2×D236—21no—
584C2×D236—21no—
585C2×D236—41no—
586C2×D236—41no—
587C2×D236C2411yescharacteristic
588C2×D236C2411yescharacteristic
589C2×D236C2411yescharacteristic
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—44no—
598C2×C4×D59C2×D411yescharacteristic
599C2×C4×D59C2×D411yescharacteristic
600C2×C4×D59C2411yescharacteristic
601C2×Dic118—21no—
602C2×Dic118—21no—
603C2×Dic118—21no—
604C2×Dic118—21no—
605C2×Dic118—44no—
606C2×Dic118C2×D411yescharacteristic
607C2×Dic118C2411yescharacteristic
608SD16×C59—22no—
609SD16×C59—41no—
610SD16×C59—41no—
611D8×C59—22no—
612D8×C59—22no—
613D8×C59—41no—
614D8×C59—41no—
615D8×C59—41no—
616D8×C59—41no—
617M16×C59—41no—
618C2×C8×C59—41no—
619C2×C8×C59C2411yescharacteristic
620C2×C8×C59C2411yescharacteristic
621C2×C8×C59C2411yescharacteristic
622C2×C8×C59C2411yescharacteristic
623C4⋊C4×C59—21no—
624C4⋊C4×C59C2×D411yescharacteristic
625C4⋊C4×C59C2411yescharacteristic
626C4⋊C4×C59C2411yescharacteristic
627C22⋊C4×C59—21no—
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59C2×D411yescharacteristic
636C22⋊C4×C59C2×D411yescharacteristic
637C42×C59C2411yescharacteristic
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59C2×D411yescharacteristic
653C22⋊Dic59C2×D411yescharacteristic
654#11745671—41no—
655#11745670—22no—
656#11745670—41no—
657#11745670—41no—
658#11745669—22no—
659#11745669—22no—
660#11745669—41no—
661#11745669—41no—
662#11745669—41no—
663#11745669—41no—
664#11745669—41no—
665#11745669—41no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4C2×D411yescharacteristic
679(C2×D59)⋊C4C2×D411yescharacteristic
680C4⋊Dic59—21no—
681C4⋊Dic59—21no—
682C4⋊Dic59—21no—
683C4⋊Dic59—21no—
684C4⋊Dic59C2×D411yescharacteristic
685C4⋊Dic59C2411yescharacteristic
686C4⋊Dic59C2411yescharacteristic
687C4⋊Dic59C2411yescharacteristic
688C4⋊Dic59C2411yescharacteristic
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4—21no—
694Dic59⋊C4—21no—
695Dic59⋊C4—21no—
696Dic59⋊C4—21no—
697Dic59⋊C4C2×D411yescharacteristic
698Dic59⋊C4C2×D411yescharacteristic
699Dic59⋊C4C2×D411yescharacteristic
700Dic59⋊C4C2×D411yescharacteristic
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59C2×D411yescharacteristic
704C4×Dic59C2×D411yescharacteristic
705C4×Dic59C2×D411yescharacteristic
706C4×Dic59C2×D411yescharacteristic
707C4×Dic59C2×D411yescharacteristic
708C4×Dic59C2×D411yescharacteristic
709C4×Dic59C2411yescharacteristic
710C4×Dic59C2411yescharacteristic
711C4×Dic59C2411yescharacteristic
712#11745664—41no—
713C2×C59⋊C8—41no—
714C2×C59⋊C8C2411yescharacteristic
715C2×C59⋊C8C2411yescharacteristic
716C2×C59⋊C8C2411yescharacteristic
717C2×C59⋊C8C2411yescharacteristic
718D472—41no—
719D472—41no—
720#11745660—41no—
721#11745659—41no—
722#11745659—41no—
723C23×C59—21no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59—21no—
727C23×C59—21no—
728C23×C59—42no—
729C23×C59—42no—
730C23×C59—42no—
731C23×C59—42no—
732C23×C59—42no—
733C23×C59—81no—
734C23×C59—81no—
735C23×C59—81no—
736C23×C59—81no—
737C23×C59C22×D411yescharacteristic
738C23×C59C22×D411yescharacteristic
739C22×D59—21no—
740C22×D59—21no—
741C22×D59—21no—
742C22×D59—42no—
743C22×D59—42no—
744C22×D59—42no—
745C22×D59—81no—
746C22×D59—81no—
747C22×D59—81no—
748C22×D59C22×D411yescharacteristic
749Q8×C59—21no—
750Q8×C59—21no—
751D4×C59—22no—
752D4×C59—21no—
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—42no—
766D4×C59—81no—
767D4×C59—81no—
768D4×C59—81no—
769D4×C59—81no—
770D4×C59H(5,𝔽2)12yes—
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—21no—
778C2×C4×C59—42no—
779C2×C4×C59—81no—
780C2×C4×C59—81no—
781C2×C4×C59C22×D411yescharacteristic
782C2×C4×C59C22×D411yescharacteristic
783C2×C4×C59C22×D411yescharacteristic
784C2×C4×C59C22×D411yescharacteristic
785C2×C4×C59C2511yescharacteristic
786C22⋊D59—22no—
787C22⋊D59—22no—
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—81no—
802C22⋊D59—81no—
803C22⋊D59—81no—
804C22⋊D59—81no—
805C22⋊D59—81no—
806C22⋊D59—81no—
807C22⋊D59—81no—
808C22⋊D59—81no—
809C2×Dic59—22no—
810C2×Dic59—21no—
811C2×Dic59—21no—
812C2×Dic59—21no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—41no—
816C2×Dic59—41no—
817C2×Dic59—42no—
818C2×Dic59—42no—
819C2×Dic59—42no—
820C2×Dic59—42no—
821C2×Dic59—42no—
822C2×Dic59—42no—
823C2×Dic59—42no—
824C2×Dic59—42no—
825C2×Dic59—42no—
826C2×Dic59—81no—
827C2×Dic59—81no—
828C2×Dic59AGL(1,ℤ/8)14yescomplemented
829C2×Dic59C22×D411yescharacteristic
830C2×Dic59C22×D411yescharacteristic
831C2×Dic59C22×D411yescharacteristic
832C2×Dic59C22×D411yescharacteristic
833C2×Dic59C22×D411yescharacteristic
834C2×Dic59C22×D411yescharacteristic
835C2×Dic59C22×D411yescharacteristic
836D236—21no—
837D236—21no—
838D236—21no—
839D236—21no—
840D236—21no—
841D236—21no—
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—81no—
853C4×D59—81no—
854C4×D59—81no—
855C4×D59—81no—
856Dic118—22no—
857Dic118—21no—
858Dic118—21no—
859Dic118—42no—
860Dic118—42no—
861Dic118—42no—
862Dic118—42no—
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#61961—591nomaximal, Sylow
872C22×C59—21no—
873C22×C59—21no—
874C22×C59—21no—
875C22×C59—22no—
876C22×C59—21no—
877C22×C59—21no—
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—41no—
890C22×C59—41no—
891C22×C59—41no—
892C22×C59—84no—
893C22×C59—84no—
894C22×C59—162no—
895C22×C59C2×AGL(1,ℤ/8)12yes—
896C22×C59C23×D411yescharacteristic
897C2×D59—21no—
898C2×D59—21no—
899C2×D59—21no—
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—41no—
909C2×D59—84no—
910C2×D59—162no—
911C4×C59—21no—
912C4×C59—21no—
913C4×C59—21no—
914C4×C59—21no—
915C4×C59—41no—
916C4×C59—41no—
917C4×C59—41no—
918C4×C59C2×H(5,𝔽2)11yescharacteristic
919C4×C59#58511yescharacteristic
920Dic59—21no—
921Dic59—21no—
922Dic59—21no—
923Dic59—21no—
924Dic59—21no—
925Dic59—41no—
926Dic59—41no—
927Dic59—41no—
928Dic59—41no—
929Dic59—41no—
930Dic59C2×AGL(1,ℤ/8)12yes—
931Dic59C2×AGL(1,ℤ/8)12yes—
932#3508—591no—
933D4×#41—591no—
934#3399—591no—
935#3399—591no—
936#3373—591no—
937#3373—591no—
938#3332—591no—
939#3332—591no—
940#3306—591no—
941#3306—591no—
942#3306—591no—
943#3306—591no—
944#3274—591no—
945#3274—591no—
946#3264—591no—
947#3264—591no—
948#3264—591no—
949#3264D5911yescharacteristic, complemented
950#3253—591no—
951#3253—591no—
952#3246—591no—
953#3214—591no—
954#3214—591no—
955#3205—591no—
956#3109—591no—
957#3109—591no—
958#3101—591no—
959#3036—591no—
960#3036—591no—
961C2×#459—591no—
962#2989—591no—
963C2×C59—22no—
964C2×C59—42no—
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—
977C22×#41—1181no—
978C2×AGL(1,ℤ/8)—591no—
979C2×AGL(1,ℤ/8)—591no—
980C2×AGL(1,ℤ/8)—591no—
981C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
982C22×D8—591no—
983C22×D8C2×D5911yescharacteristic
984#559—591no—
985#559—591no—
986#559—1181no—
987#550—591no—
988#550—591no—
989#550—591no—
990#550—1181no—
991D4×Q8—591no—
992#548—1181no—
993#547—591no—
994#547—591no—
995#547—591no—
996#546—591no—
997#546—591no—
998#546—591no—
999#546—1181no—
1000#546—1181no—
1001#546—1181no—
1002#546—1181no—
1003#546—1181no—
1004#546C2×D5911yescharacteristic, complemented
1005D42—591no—
1006D42—591no—
1007D42C2×D5911yescharacteristic
1008#540—1181no—
1009#540—1181no—
1010#535—1181no—
1011#533—591no—
1012#532—591no—
1013#532—591no—
1014#532—591no—
1015#532—591no—
1016#532—591no—
1017#532—591no—
1018#532—591no—
1019C2×#127—591no—
1020#525—1181no—
1021#525—1181no—
1022#525—1181no—
1023#518—1181no—
1024C4×#41—591no—
1025C2×C4×D4—591no—
1026C2×C4×D4—591no—
1027C2×C4×D4—591no—
1028#496—591no—
1029#496—591no—
1030#496—591no—
1031#496C2×D5911yescharacteristic, complemented
1032#493—591no—
1033#493—591no—
1034#489—591no—
1035#489—591no—
1036#489—591no—
1037#489—591no—
1038#486—591no—
1039#486—591no—
1040#483—591no—
1041#483—591no—
1042#481—591no—
1043#481—591no—
1044#481—591no—
1045#481—591no—
1046#476—591no—
1047#476—591no—
1048#476—591no—
1049#476—591no—
1050#476—591no—
1051#476—591no—
1052#476—591no—
1053#476—591no—
1054#475—591no—
1055#475—591no—
1056#469—591no—
1057#469—591no—
1058#469—591no—
1059#469—591no—
1060#469—591no—
1061#469—591no—
1062#469—591no—
1063#469C2×D5911yescharacteristic, complemented
1064#465—591no—
1065#465—591no—
1066#465—591no—
1067#465C2×D5911yescharacteristic, complemented
1068#463—591no—
1069#463—591no—
1070#463—591no—
1071#463—591no—
1072#463—591no—
1073#463—591no—
1074#463—591no—
1075#463C2×D5911yescharacteristic, complemented
1076#461—591no—
1077#461—591no—
1078#461—591no—
1079#461—591no—
1080#460—591no—
1081#460—591no—
1082#459—591no—
1083#459—591no—
1084#459—591no—
1085#459—591no—
1086#459—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#459C2×D5911yescharacteristic, complemented
1098#450—591no—
1099#450C2×D5911yescharacteristic
1100#449—591no—
1101#449—591no—
1102#449—591no—
1103#449—591no—
1104#449—591no—
1105#449—591no—
1106#449—591no—
1107#449C2×D5911yescharacteristic, complemented
1108#447—591no—
1109#447—591no—
1110#447—591no—
1111#447—591no—
1112#447—591no—
1113#447—591no—
1114#447C2×D5911yescharacteristic, complemented
1115#447C2×D5911yescharacteristic, complemented
1116#446—591no—
1117#446—591no—
1118#442—591no—
1119#442—591no—
1120#442—591no—
1121#442—591no—
1122#442—591no—
1123#442—591no—
1124#442—591no—
1125#442C2×D5911yescharacteristic, complemented
1126C4×SD16—591no—
1127C4×SD16—591no—
1128C4×SD16—591no—
1129C4×SD16—591no—
1130#436—591no—
1131#436—591no—
1132#435—591no—
1133#435—591no—
1134#435—591no—
1135#435C2×D5911yescharacteristic, complemented
1136#432—591no—
1137#432—591no—
1138#431—591no—
1139#423—591no—
1140#423—591no—
1141C2×C4⋊C8—591no—
1142#417—591no—
1143#417—591no—
1144#417—591no—
1145#417—591no—
1146C2×#102—591no—
1147C2×#102—591no—
1148C59#6196111yescharacteristic, complemented, Sylow
1149C2×#41—591no—
1150C2×#41—591no—
1151C2×#41—591no—
1152C2×#41—591no—
1153C2×#41—1181no—
1154C2×#41—1181no—
1155C2×#41—1181no—
1156C2×#41—1181no—
1157C2×#41—1181no—
1158C2×#41—1181no—
1159C2×#41—1181no—
1160C2×#41—1181no—
1161C2×#41—1181no—
1162C2×#41—2368no—
1163C2×#41C22×D5911yescharacteristic
1164C22×Q8—1181no—
1165C22×D4—21no—
1166C22×D4—591no—
1167C22×D4—591no—
1168C22×D4—1181no—
1169C22×D4—1181no—
1170C22×D4—1181no—
1171C22×D4—1181no—
1172C22×D4C22×D5911yescharacteristic
1173C22×D4C22×D5911yescharacteristic
1174C22×D4C22×D5911yescharacteristic
1175C23×C4—1181no—
1176C23×C4—1181no—
1177C23×C4—1181no—
1178AGL(1,ℤ/8)—42no—
1179AGL(1,ℤ/8)—2362no—
1180AGL(1,ℤ/8)—2362no—
1181AGL(1,ℤ/8)—2362no—
1182C2×SD16—591no—
1183C2×SD16—591no—
1184C2×SD16—591no—
1185C2×SD16—591no—
1186C2×SD16—591no—
1187C2×SD16C22×D5911yescharacteristic
1188C2×SD16C22×D5911yescharacteristic
1189C2×SD16C22×D5911yescharacteristic
1190C2×D8—42no—
1191C2×D8—591no—
1192C2×D8—591no—
1193C2×D8—591no—
1194C2×D8—591no—
1195C2×D8—591no—
1196C2×D8—591no—
1197C2×D8—591no—
1198C2×D8—591no—
1199C2×D8—591no—
1200C2×D8—591no—
1201C2×D8—2362no—
1202C2×D8C22×D5911yescharacteristic
1203C2×D8C22×D5911yescharacteristic
1204C2×D8C22×D5911yescharacteristic
1205C2×D8C22×D5911yescharacteristic
1206C2×D8C22×D5911yescharacteristic
1207C2×D8C22×D5911yescharacteristic
1208C2×M16—591no—
1209C2×M16—591no—
1210C2×M16—591no—
1211C2×M16C22×D5911yescharacteristic
1212C22×C8—591no—
1213C22×C8C22×D5911yescharacteristic
1214C4⋊Q8—591no—
1215C4⋊Q8—591no—
1216C4⋊Q8—591no—
1217C4⋊Q8—591no—
1218C4⋊Q8—591no—
1219#127—591no—
1220#127—591no—
1221#127—591no—
1222#127—591no—
1223#127—591no—
1224#127—591no—
1225#127—1181no—
1226#127—1181no—
1227#127—1181no—
1228#127—1181no—
1229#127C22×D5911yescharacteristic
1230#125—1181no—
1231#124—591no—
1232#124—591no—
1233#124—591no—
1234#124—1181no—
1235#124—1181no—
1236#124—1181no—
1237#124—1181no—
1238#124—1181no—
1239#124—1181no—
1240#124—1181no—
1241#124C22×D5911yescharacteristic
1242#123—21no—
1243#123—1181no—
1244#123—1181no—
1245#123—1181no—
1246#123—1181no—
1247#123—1181no—
1248#123—1181no—
1249#123—1181no—
1250#123—1181no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254#123—1181no—
1255#123—1181no—
1256C22⋊Q8—591no—
1257C22⋊Q8—1181no—
1258C22⋊Q8—1181no—
1259C22⋊Q8—1181no—
1260C22⋊Q8—1181no—
1261C22⋊Q8—1181no—
1262C22⋊Q8—1181no—
1263C22⋊Q8—1181no—
1264C22⋊Q8C22×D5911yescharacteristic
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—591no—
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#121—1181no—
1294#121—1181no—
1295#121C22×D5911yescharacteristic
1296#121C22×D5911yescharacteristic
1297#121C22×D5911yescharacteristic
1298#120—21no—
1299#120—21no—
1300#120—21no—
1301#120—1181no—
1302#120—1181no—
1303#120—1181no—
1304#120—1181no—
1305#120—1181no—
1306#120—1181no—
1307#120—1181no—
1308C4×Q8—591no—
1309C4×Q8—591no—
1310C4×Q8—591no—
1311C4×Q8—591no—
1312C4×Q8—1181no—
1313C4×D4—591no—
1314C4×D4—591no—
1315C4×D4—591no—
1316C4×D4—591no—
1317C4×D4—591no—
1318C4×D4—591no—
1319C4×D4—591no—
1320C4×D4—591no—
1321C4×D4—591no—
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—1181no—
1331C4×D4—1181no—
1332C4×D4—1181no—
1333C4×D4—1181no—
1334C4×D4—1181no—
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×D4C22×D5911yescharacteristic
1350C4×D4C22×D5911yescharacteristic
1351C4×D4C22×D5911yescharacteristic
1352#117—591no—
1353#117—591no—
1354#117—591no—
1355#117—1181no—
1356C2×C4⋊C4—591no—
1357C2×C4⋊C4—591no—
1358C2×C4⋊C4—591no—
1359C2×C22⋊C4—21no—
1360C2×C22⋊C4—1181no—
1361C2×C22⋊C4—1181no—
1362C2×C22⋊C4—1181no—
1363C2×C22⋊C4—1181no—
1364C2×C22⋊C4—1181no—
1365C2×C22⋊C4—1181no—
1366C2×C42—591no—
1367C2×C42—591no—
1368C2×C42—591no—
1369#106—591no—
1370#106—591no—
1371#106—591no—
1372#106—591no—
1373#106—591no—
1374#106—591no—
1375#106—591no—
1376#106C22×D5911yescharacteristic
1377C4⋊C8—591no—
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⋊C8C22×D5911yescharacteristic
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#103—591no—
1393#103—591no—
1394#103C22×D5911yescharacteristic
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#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102C22×D5911yescharacteristic
1415#102C22×D5911yescharacteristic
1416#102C22×D5911yescharacteristic
1417#102C22×D5911yescharacteristic
1418#102C22×D5911yescharacteristic
1419C22⋊C8—591no—
1420C22⋊C8—591no—
1421C22⋊C8—591no—
1422C22⋊C8—591no—
1423C22⋊C8C22×D5911yescharacteristic
1424C22⋊C8C22×D5911yescharacteristic
1425#97—591no—
1426#97—591no—
1427#97—591no—
1428#97C22×D5911yescharacteristic
1429C4×C8—591no—
1430C4×C8—591no—
1431C24—21no—
1432C24—21no—
1433C24—21no—
1434C24—1181no—
1435C24—1181no—
1436#41—41no—
1437#41—41no—
1438#41—1184no—
1439#41—4722no—
1440#41—4722no—
1441#41—2361no—
1442#41—2361no—
1443#41—2364no—
1444#41—2361no—
1445#41—2361no—
1446#41—2361no—
1447#41—2361no—
1448#41—2364no—
1449#41—2364no—
1450#41—2364no—
1451#41—2364no—
1452#41—2364no—
1453#41—2364no—
1454C2×Q8—591no—
1455C2×Q8—591no—
1456C2×Q8—1181no—
1457C2×Q8—1181no—
1458C2×Q8—1181no—
1459C2×Q8—1181no—
1460C2×Q8—2364no—
1461C2×Q8C23×D5911yescharacteristic
1462C2×D4—22no—
1463C2×D4—22no—
1464C2×D4—21no—
1465C2×D4—21no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—41no—
1474C2×D4—41no—
1475C2×D4—41no—
1476C2×D4—41no—
1477C2×D4—44no—
1478C2×D4—591no—
1479C2×D4—591no—
1480C2×D4—591no—
1481C2×D4—591no—
1482C2×D4—591no—
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—1182no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—4722no—
1509C2×D4—2361no—
1510C2×D4—2361no—
1511C2×D4—2364no—
1512C2×D4—2361no—
1513C2×D4—2364no—
1514C2×D4—2364no—
1515C2×D4D4×D5911yescharacteristic
1516C2×D4C23×D5911yescharacteristic
1517C2×D4C23×D5911yescharacteristic
1518C2×D4C23×D5911yescharacteristic
1519C2×D4C23×D5911yescharacteristic
1520C2×D4C23×D5911yescharacteristic
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—591no—
1525C22×C4—591no—
1526C22×C4—591no—
1527C22×C4—591no—
1528C22×C4—591no—
1529C22×C4—591no—
1530C22×C4—591no—
1531C22×C4—1181no—
1532C22×C4—1181no—
1533C22×C4—1181no—
1534C22×C4—1181no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—1181no—
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—2364no—
1550C22×C4—2364no—
1551C22×C4—2364no—
1552C22×C4C23×D5911yescharacteristic
1553C22×C4C23×D5911yescharacteristic
1554SD16—22no—
1555SD16—41no—
1556SD16—41no—
1557SD16—1182no—
1558SD16—2361no—
1559SD16—2361no—
1560SD16—2361no—
1561SD16—2361no—
1562D8—22no—
1563D8—22no—
1564D8—41no—
1565D8—41no—
1566D8—41no—
1567D8—41no—
1568D8—1182no—
1569D8—1182no—
1570D8—2361no—
1571D8—2361no—
1572D8—2361no—
1573D8—2361no—
1574D8—2361no—
1575D8—2361no—
1576D8—2361no—
1577D8—2361no—
1578M16—41no—
1579M16—2361no—
1580M16—2361no—
1581M16—2361no—
1582C2×C8—41no—
1583C2×C8—591no—
1584C2×C8—591no—
1585C2×C8—591no—
1586C2×C8—591no—
1587C2×C8—2361no—
1588C2×C8C23×D5911yescharacteristic
1589C2×C8C23×D5911yescharacteristic
1590C2×C8C23×D5911yescharacteristic
1591C2×C8C23×D5911yescharacteristic
1592C4⋊C4—21no—
1593C4⋊C4—591no—
1594C4⋊C4—591no—
1595C4⋊C4—591no—
1596C4⋊C4—591no—
1597C4⋊C4—591no—
1598C4⋊C4—591no—
1599C4⋊C4—591no—
1600C4⋊C4—591no—
1601C4⋊C4—591no—
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⋊C4—1181no—
1614C4⋊C4D4×D5911yescharacteristic
1615C4⋊C4C23×D5911yescharacteristic
1616C4⋊C4C23×D5911yescharacteristic
1617C22⋊C4—21no—
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⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4D4×D5911yescharacteristic
1656C22⋊C4D4×D5911yescharacteristic
1657C42—591no—
1658C42—591no—
1659C42—591no—
1660C42—591no—
1661C42—591no—
1662C42—591no—
1663C42—591no—
1664C42—591no—
1665C42—591no—
1666C42—1181no—
1667C42—1181no—
1668C42C23×D5911yescharacteristic
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—42no—
1675C23—42no—
1676C23—42no—
1677C23—42no—
1678C23—42no—
1679C23—81no—
1680C23—81no—
1681C23—81no—
1682C23—81no—
1683C23—591no—
1684C23—1181no—
1685C23—1181no—
1686C23—1181no—
1687C23—4721no—
1688C23—4721no—
1689C23—4721no—
1690C23—2362no—
1691C23—2362no—
1692C23—2362no—
1693C23C2×D4×D5911yescharacteristic
1694C23C2×D4×D5911yescharacteristic
1695Q8—21no—
1696Q8—21no—
1697Q8—1182no—
1698Q8—1181no—
1699Q8—1181no—
1700Q8—2362no—
1701Q8—2362no—
1702Q8—2362no—
1703Q8—2362no—
1704D4—22no—
1705D4—21no—
1706D4—21no—
1707D4—21no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—21no—
1714D4—42no—
1715D4—42no—
1716D4—42no—
1717D4—42no—
1718D4—42no—
1719D4—81no—
1720D4—81no—
1721D4—81no—
1722D4—81no—
1723D4—1182no—
1724D4—1182no—
1725D4—1181no—
1726D4—1181no—
1727D4—1181no—
1728D4—1181no—
1729D4—1181no—
1730D4—1181no—
1731D4—4721no—
1732D4—4721no—
1733D4—4721no—
1734D4—4721no—
1735D4—4721no—
1736D4—4721no—
1737D4—4721no—
1738D4—4721no—
1739D4—4721no—
1740D4—4721no—
1741D4—4721no—
1742D4—2362no—
1743D4—2362no—
1744D4—2362no—
1745D4—2362no—
1746D4—2362no—
1747D4—2362no—
1748D4—2362no—
1749D4—2362no—
1750D4—2362no—
1751D4—2362no—
1752D4—2362no—
1753D4—2362no—
1754D4—2362no—
1755D4#1427377212yes—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—42no—
1764C2×C4—81no—
1765C2×C4—81no—
1766C2×C4—594no—
1767C2×C4—591no—
1768C2×C4—591no—
1769C2×C4—591no—
1770C2×C4—591no—
1771C2×C4—591no—
1772C2×C4—591no—
1773C2×C4—591no—
1774C2×C4—1182no—
1775C2×C4—1182no—
1776C2×C4—1181no—
1777C2×C4—1181no—
1778C2×C4—1181no—
1779C2×C4—1181no—
1780C2×C4—1181no—
1781C2×C4—1181no—
1782C2×C4—1181no—
1783C2×C4—4721no—
1784C2×C4—4721no—
1785C2×C4—4721no—
1786C2×C4—4721no—
1787C2×C4—4721no—
1788C2×C4—4721no—
1789C2×C4—2361no—
1790C2×C4—2362no—
1791C2×C4—2362no—
1792C2×C4—2362no—
1793C2×C4—2362no—
1794C2×C4—2362no—
1795C2×C4—2362no—
1796C2×C4—2362no—
1797C2×C4—2362no—
1798C2×C4—2361no—
1799C2×C4—2361no—
1800C2×C4—2362no—
1801C2×C4—2362no—
1802C2×C4—2362no—
1803C2×C4—2362no—
1804C2×C4C2×D4×D5911yescharacteristic
1805C2×C4C2×D4×D5911yescharacteristic
1806C2×C4C2×D4×D5911yescharacteristic
1807C2×C4C2×D4×D5911yescharacteristic
1808C2×C4C24×D5911yescharacteristic
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—21no—
1813C8—1181no—
1814C8—1181no—
1815C8—1181no—
1816C8—1181no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—22no—
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—41no—
1836C22—41no—
1837C22—84no—
1838C22—84no—
1839C22—162no—
1840C22—1181no—
1841C22—1181no—
1842C22—1181no—
1843C22—9442no—
1844C22—4724no—
1845C22—2361no—
1846C22—2361no—
1847C22—2361no—
1848C22—2361no—
1849C22—2361no—
1850C22—2361no—
1851C22—2361no—
1852C22—2361no—
1853C22—2361no—
1854C22AGL(1,ℤ/8)×D5912yes—
1855C22C22×D4×D5911yescharacteristic
1856C4—21no—
1857C4—21no—
1858C4—21no—
1859C4—21no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—592no—
1864C4—592no—
1865C4—1181no—
1866C4—1181no—
1867C4—1181no—
1868C4—1181no—
1869C4—1181no—
1870C4—2361no—
1871C4—2361no—
1872C4—2361no—
1873C4—2361no—
1874C4—2361no—
1875C4C2×#1427377211yescharacteristic
1876C4#1683823711yescharacteristic
1877C2—22no—
1878C2—41no—
1879C2—42no—
1880C2—81no—
1881C2—81no—
1882C2—81no—
1883C2—81no—
1884C2—4721no—
1885C2—4721no—
1886C2—4721no—
1887C2—2361no—
1888C2#2143775611yescharacteristic
1889C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1890C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3264C2
socleC22×C59C23×D4
hypercenter#3264D59
hypocenterC59#61961
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #21437964C2semidirect
2. D4×#11745687C2semidirect
3. #21437141C2semidirect
4. #21437135C2semidirect
5. #21436889C2semidirect
6. #21436883C2semidirect
7. #21436418C2semidirect
8. #21436416C2semidirect
9. #21436063C2semidirect
10. #21436061C2semidirect
11. #21436059C2semidirect
12. #21436057C2semidirect
13. #21435714C2semidirect
14. #21435710C2semidirect
15. #21435580C2semidirect
16. #21435576C2semidirect
17. #21435572C2semidirect
18. #21435475C2semidirect
19. #21435473C2semidirect
20. #21435407C2semidirect
21. #21435088C2semidirect
22. #21435086C2semidirect
23. #21435012C2semidirect
24. #21434185C2semidirect
25. #21434182C2semidirect
26. #21434099C2semidirect
27. #21433558C2semidirect
28. #21433557C2semidirect
29. C2×#16837595C2semidirect
30. #21433208C2semidirect
31. C59×#3264C2semidirect
33. C2×#14273754C22semidirect
34. C2×#14273753C22semidirect
35. C2×#14273751C22semidirect
38. #16838135C22semidirect
39. #16838134C22semidirect
40. #16838072C22semidirect
41. #16838071C22semidirect
43. #16838070C22semidirect
44. D4×Dic118C22semidirect
48. #16838052C22semidirect
49. #16838048C22semidirect
51. #16838046C22semidirect
52. #16838043C22semidirect
58. D4×C22⋊D59C22semidirect
62. #16837954C22semidirect
63. #16837951C22semidirect
64. #16837950C22semidirect
65. #16837949C22semidirect
66. #16837948C22semidirect
68. #16837947C22semidirect
69. #16837947C22semidirect
70. C2×#14273723C22semidirect
77. C2×D4×Dic59C22semidirect
78. C4×D4×D59C22semidirect
79. #16837790C22semidirect
80. #16837789C22semidirect
81. #16837788C22semidirect
82. #16837777C22semidirect
83. #16837777C22semidirect
84. #16837763C22semidirect
85. #16837762C22semidirect
86. #16837761C22semidirect
87. #16837760C22semidirect
88. #16837747C22semidirect
89. #16837747C22semidirect
90. #16837733C22semidirect
91. #16837730C22semidirect
92. #16837722C22semidirect
93. #16837721C22semidirect
94. #16837719C22semidirect
95. #16837718C22semidirect
96. #16837693C22semidirect
97. #16837692C22semidirect
98. #16837691C22semidirect
99. #16837691C22semidirect
100. #16837690C22semidirect
101. #16837690C22semidirect
102. #16837690C22semidirect
103. #16837690C22semidirect
104. #16837686C22semidirect
105. #16837685C22semidirect
106. #16837655C22semidirect
107. #16837654C22semidirect
108. #16837654C22semidirect
109. #16837653C22semidirect
110. #16837653C22semidirect
111. #16837652C22semidirect
112. #16837652C22semidirect
113. #16837633C22semidirect
114. #16837631C22semidirect
115. #16837629C22semidirect
116. #16837619C22semidirect
117. #16837619C22semidirect
118. #16837618C22semidirect
119. #16837617C22semidirect
120. #16837615C22semidirect
121. #16837615C22semidirect
122. #16837614C22semidirect
123. #16837606C22semidirect
124. #16837605C22semidirect
125. #16837605C22semidirect
126. #16837605C22semidirect
127. #16837601C22semidirect
128. #16837600C22semidirect
129. #16837596C22semidirect
130. #16837596C22semidirect
131. #16837596C22semidirect
136. #16837595C22semidirect
137. #16837595C22semidirect
138. #16837595C22semidirect
139. #16837595C22semidirect
140. #16837595C22semidirect
141. #16837595C22semidirect
142. #16837595C22semidirect
143. #16837594C22semidirect
145. #16837549C22semidirect
146. #16837547C22semidirect
147. #16837546C22semidirect
148. #16837546C22semidirect
149. #16837545C22semidirect
150. #16837544C22semidirect
151. #16837544C22semidirect
152. #16837538C22semidirect
153. #16837537C22semidirect
154. #16837536C22semidirect
155. #16837536C22semidirect
156. #16837535C22semidirect
157. #16837534C22semidirect
158. #16837531C22semidirect
159. #16837530C22semidirect
160. #16837515C22semidirect
161. #16837514C22semidirect
162. #16837514C22semidirect
163. #16837512C22semidirect
164. #16837512C22semidirect
165. #16837511C22semidirect
166. #16837511C22semidirect
167. #16837493C22semidirect
168. #16837493C22semidirect
169. SD16×Dic59C22semidirect
170. SD16×Dic59C22semidirect
171. #16837478C22semidirect
172. #16837477C22semidirect
173. #16837474C22semidirect
174. #16837473C22semidirect
175. #16837470C22semidirect
176. #16837457C22semidirect
177. #16837456C22semidirect
178. #16837452C22semidirect
179. #16837425C22semidirect
180. #16837424C22semidirect
181. C2×Dic59⋊C8C22semidirect
182. #16837404C22semidirect
183. #16837403C22semidirect
184. #16837402C22semidirect
185. #16837400C22semidirect
186. C2×#14273649C22semidirect
187. C2×#14273648C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
190. C59×#546C22semidirect
192. C59×#496C22semidirect
193. C59×#469C22semidirect
194. C59×#465C22semidirect
195. C59×#463C22semidirect
196. C59×#459C22semidirect
198. C59×#449C22semidirect
199. C59×#447C22semidirect
200. C59×#447C22semidirect
201. C59×#442C22semidirect
202. C59×#435C22semidirect
828. C2×Dic59AGL(1,ℤ/8)semidirect
949. #3264D59semidirect
981. C2×AGL(1,ℤ/8)C2×D59semidirect
1004. #546C2×D59semidirect
1031. #496C2×D59semidirect
1063. #469C2×D59semidirect
1067. #465C2×D59semidirect
1075. #463C2×D59semidirect
1097. #459C2×D59semidirect
1107. #449C2×D59semidirect
1114. #447C2×D59semidirect
1115. #447C2×D59semidirect
1125. #442C2×D59semidirect
1135. #435C2×D59semidirect
1148. C59#61961semidirect

Maximal subgroups

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

subgroupindex
#214379642
D4×#117456872
#214371412
#214371352
#214368892
#214368832
#214364182
#214364162
#214360632
#214360612
#214360592
#214360572
#214357142
#214357102
#214355802
#214355762
#214355722
#214354752
#214354732
#214354072
#214350882
#214350862
#214350122
#214341852
#214341822
#214340992
#214335582
#214335572
C2×#168375952
#214332082
C59×#32642
#6196159