Finite Group Databasebeta

← #29482492

Subgroups — #29482492

Order 15104.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438676C211yesmaximal, characteristic, complemented
2#21438036C211yesmaximal, characteristic, complemented
3#21437158C211yesmaximal, characteristic, complemented
4#21437108C211yesmaximal, characteristic, complemented
5#21436845C211yesmaximal, characteristic, complemented
6#21436746C211yesmaximal, characteristic, complemented
7#21436399C211yesmaximal, characteristic, complemented
8#21436367C211yesmaximal, characteristic, complemented
9#21436354C211yesmaximal, characteristic, complemented
10#21436225C211yesmaximal, characteristic, complemented
11#21436060C211yesmaximal, characteristic, complemented
12#21435951C211yesmaximal, characteristic, complemented
13#21435805C211yesmaximal, characteristic, complemented
14#21435714C211yesmaximal, characteristic, complemented
15#21435707C211yesmaximal, characteristic, complemented
16#21435706C211yesmaximal, characteristic, complemented
17#21435619C211yesmaximal, characteristic, complemented
18#21435589C211yesmaximal, characteristic, complemented
19#21435544C211yesmaximal, characteristic, complemented
20#21435511C211yesmaximal, characteristic, complemented
21#21435492C211yesmaximal, characteristic, complemented
22#21435202C211yesmaximal, characteristic, complemented
23#21435143C211yesmaximal, characteristic, complemented
24#21435074C211yesmaximal, characteristic, complemented
25#21434341C211yesmaximal, characteristic, complemented
26#21434315C211yesmaximal, characteristic, complemented
27#21433636C211yesmaximal, characteristic, complemented
28#21433606C211yesmaximal, characteristic, complemented
29#21433560C211yesmaximal, characteristic, complemented
30#21433247C211yesmaximal, characteristic, complemented
31C59×#3105C211yesmaximal, characteristic, complemented
32C2×#14273753C2211yescharacteristic
33C2×#14273753C2211yescharacteristic, complemented
34C2×#14273751C2211yescharacteristic
35C2×#14273751C2211yescharacteristic
36C2×#14273748C2211yescharacteristic
37C2×SD16×D59C2211yescharacteristic, complemented
38#16838149—21no—
39#16838142—21no—
40#16838135C2211yescharacteristic, complemented
41#16838135C2211yescharacteristic, complemented
42#16838124C2211yescharacteristic, complemented
43#16838111C2211yescharacteristic, complemented
44#16838102C2211yescharacteristic
45#16838101—21no—
46#16838096—21no—
47#16838087C2211yescharacteristic, complemented
48#16838081—21no—
49#16838078—21no—
50#16838076—21no—
51#16838070C2211yescharacteristic
52#16838064C2211yescharacteristic, complemented
53#16838062C2211yescharacteristic
54#16838054C2211yescharacteristic, complemented
55#16838053C2211yescharacteristic
56#16838049C2211yescharacteristic, complemented
57#16838047C2211yescharacteristic
58#16838047C2211yescharacteristic, complemented
59#16838046C2211yescharacteristic
60#16838042—21no—
61D4×C22⋊D59C2211yescharacteristic, complemented
62#16838017C2211yescharacteristic, complemented
63#16838015C2211yescharacteristic, complemented
64#16838008C2211yescharacteristic, complemented
65#16838003—21no—
66#16838003C2211yescharacteristic
67#16837994—21no—
68#16837993—21no—
69#16837991—21no—
70#16837985—21no—
71#16837985—21no—
72#16837972C2211yescharacteristic, complemented
73#16837970C2211yescharacteristic, complemented
74#16837952C2211yescharacteristic, complemented
75#16837936C2211yescharacteristic
76#16837936C2211yescharacteristic, complemented
77#16837913—21no—
78C2×#14273710—21no—
79#16837881C2211yescharacteristic
80#16837874C2211yescharacteristic, complemented
81#16837793C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic
83#16837786C2211yescharacteristic, complemented
84#16837786C2211yescharacteristic, complemented
85#16837785C2211yescharacteristic, complemented
86#16837777C2211yescharacteristic
87#16837765C2211yescharacteristic, complemented
88#16837760C2211yescharacteristic, complemented
89#16837758C2211yescharacteristic, complemented
90#16837757C2211yescharacteristic, complemented
91#16837757C2211yescharacteristic, complemented
92#16837751C2211yescharacteristic, complemented
93#16837739C2211yescharacteristic, complemented
94#16837734C2211yescharacteristic, complemented
95#16837729C2211yescharacteristic, complemented
96#16837728C2211yescharacteristic, complemented
97#16837712C2211yescharacteristic, complemented
98#16837709C2211yescharacteristic, complemented
99#16837708C2211yescharacteristic, complemented
100#16837706C2211yescharacteristic, complemented
101#16837702C2211yescharacteristic, complemented
102#16837699C2211yescharacteristic, complemented
103#16837691C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837658C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837653C2211yescharacteristic
108#16837650C2211yescharacteristic, complemented
109#16837649C2211yescharacteristic, complemented
110#16837649C2211yescharacteristic, complemented
111#16837647C2211yescharacteristic, complemented
112#16837646C2211yescharacteristic, complemented
113#16837637C2211yescharacteristic
114#16837632C2211yescharacteristic, complemented
115#16837632C2211yescharacteristic, complemented
116#16837630C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837624C2211yescharacteristic, complemented
119#16837621C2211yescharacteristic, complemented
120#16837619C2211yescharacteristic
121#16837617C2211yescharacteristic
122#16837617C2211yescharacteristic, complemented
123#16837617C2211yescharacteristic, complemented
124#16837617C2211yescharacteristic, complemented
125#16837617C2211yescharacteristic, complemented
126#16837616C2211yescharacteristic, complemented
127#16837616C2211yescharacteristic, complemented
128#16837616C2211yescharacteristic, complemented
129#16837615C2211yescharacteristic
130#16837614C2211yescharacteristic, complemented
131#16837613C2211yescharacteristic, complemented
132#16837608C2211yescharacteristic, complemented
133#16837607C2211yescharacteristic, complemented
134#16837607C2211yescharacteristic, complemented
135#16837606C2211yescharacteristic, complemented
136#16837605C2211yescharacteristic, complemented
137#16837603C2211yescharacteristic, complemented
138#16837601C2211yescharacteristic, complemented
139#16837601C2211yescharacteristic, complemented
140#16837601C2211yescharacteristic, complemented
141#16837598C2211yescharacteristic, complemented
142#16837597C2211yescharacteristic
143#16837597C2211yescharacteristic, complemented
144#16837595C2211yescharacteristic
145#16837566C2211yescharacteristic, complemented
146#16837566C2211yescharacteristic, complemented
147#16837565C2211yescharacteristic
148#16837565C2211yescharacteristic
149#16837565C2211yescharacteristic, complemented
150#16837559C2211yescharacteristic, complemented
151#16837550C2211yescharacteristic, complemented
152#16837549C2211yescharacteristic
153#16837549C2211yescharacteristic, complemented
154#16837546C2211yescharacteristic, complemented
155#16837544C2211yescharacteristic
156#16837539C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic
158#16837537C2211yescharacteristic, complemented
159#16837537C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic, complemented
161#16837532C2211yescharacteristic, complemented
162C8×Dic118C2211yescharacteristic, complemented
163#16837513C2211yescharacteristic, complemented
164#16837511C2211yescharacteristic, complemented
165#16837508C2211yescharacteristic, complemented
166#16837499C2211yescharacteristic, complemented
167#16837496C2211yescharacteristic, complemented
168#16837493C2211yescharacteristic, complemented
169#16837484C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic
171#16837481C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837477C2211yescharacteristic, complemented
174#16837476C2211yescharacteristic, complemented
175#16837476C2211yescharacteristic, complemented
176C8×D236C2211yescharacteristic, complemented
177#16837462C2211yescharacteristic, complemented
178#16837462C2211yescharacteristic, complemented
179#16837427C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837426C2211yescharacteristic, complemented
182#16837409C2211yescharacteristic, complemented
183#16837402C2211yescharacteristic, complemented
184#16837401C2211yescharacteristic, complemented
185#16837401C2211yescharacteristic, complemented
186#16837395C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#529C2211yescharacteristic, complemented
189C2×C4×D4×C59C2211yescharacteristic, complemented
190C59×#484C2211yescharacteristic, complemented
191C59×#481C2211yescharacteristic, complemented
192C59×#478C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic
195C59×#463C2211yescharacteristic, complemented
196C59×#450C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic
198C4×SD16×C59C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C4×D8×C59C2211yescharacteristic
201C4×D8×C59C2211yescharacteristic, complemented
202C59×#431C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C2×#11745687C2311yescharacteristic
209C2×Q8×D59C2311yescharacteristic
210C22×C22⋊D59—21no—
211C2×D4×D59C2311yescharacteristic
212C2×D4×D59C2311yescharacteristic
213#14273753—42no—
214#14273753—42no—
215#14273751—42no—
216#14273751—42no—
217#14273748—42no—
218C2×Dic236C2311yescharacteristic
219C2×Dic236C2311yescharacteristic
220C2×#11745672C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231SD16×D59—42no—
232C2×D472C2311yescharacteristic
233C2×D472C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745664C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C2×#11745659C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C2×C8×D59C2311yescharacteristic
244C2×C8×D59C2311yescharacteristic
245#14273727C2311yescharacteristic
246#14273726C2311yescharacteristic
247#14273725C2311yescharacteristic
248#14273724C2311yescharacteristic
249#14273723—21no—
250#14273723C2311yescharacteristic
251#14273723C2311yescharacteristic
252#14273722—21no—
253#14273722—21no—
254#14273722—21no—
255#14273722—21no—
256#14273721—21no—
257#14273721—21no—
258#14273721D411yescharacteristic
259#14273721D411yescharacteristic
260#14273720—21no—
261#14273720—21no—
262#14273719D411yescharacteristic
263#14273719C2311yescharacteristic
264#14273718—21no—
265#14273718—21no—
266#14273718C2311yescharacteristic
267#14273717—21no—
268#14273716C2311yescharacteristic
269#14273715—21no—
270#14273715D411yescharacteristic
271#14273715C2311yescharacteristic
272#14273715C2311yescharacteristic
273#14273715C2311yescharacteristic
274#14273714C2311yescharacteristic
275#14273714C2311yescharacteristic
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273711—21no—
285#14273711—21no—
286#14273710—21no—
287#14273710—21no—
288#14273710—21no—
289#14273710—21no—
290#14273710—21no—
291#14273710—21no—
292#14273710—21no—
293#14273710—21no—
294#14273710D411yescharacteristic
295#14273710D411yescharacteristic
296#14273709—21no—
297#14273709—21no—
298#14273709—21no—
299#14273709—21no—
300#14273709—21no—
301#14273709—21no—
302#14273709—21no—
303#14273708—21no—
304#14273707—21no—
305#14273707C2311yescharacteristic
306#14273707C2311yescharacteristic
307#14273707C2311yescharacteristic
308#14273706—21no—
309#14273706—21no—
310#14273706D411yescharacteristic
311#14273706C2311yescharacteristic
312#14273705—21no—
313#14273705—21no—
314#14273705—21no—
315#14273704—21no—
316#14273704—21no—
317#14273704—21no—
318#14273704—21no—
319#14273702—21no—
320#14273702—21no—
321#14273702—21no—
322#14273702C2311yescharacteristic
323#14273702C2311yescharacteristic
324#14273702C2311yescharacteristic
325#14273701—21no—
326#14273701—21no—
327#14273701—21no—
328#14273701—21no—
329#14273701—21no—
330#14273701D411yescharacteristic
331#14273701C2311yescharacteristic
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273699—21no—
340#14273699—21no—
341#14273699—21no—
342#14273698—21no—
343#14273698C2311yescharacteristic
344#14273698C2311yescharacteristic
345#14273697—21no—
346#14273697—21no—
347#14273697—21no—
348#14273697—21no—
349#14273696—21no—
350#14273696—21no—
351#14273695—21no—
352#14273695—21no—
353C4×Dic118C2311yescharacteristic
354C4×Dic118C2311yescharacteristic
355#14273692C2311yescharacteristic
356#14273692C2311yescharacteristic
357#14273692C2311yescharacteristic
358C4×D236—21no—
359C4×D236—21no—
360C4×D236—21no—
361C4×D236C2311yescharacteristic
362C4×D236C2311yescharacteristic
363D4×Dic59C2311yescharacteristic
364D4×Dic59C2311yescharacteristic
365#14273689—21no—
366#14273689C2311yescharacteristic
367#14273689C2311yescharacteristic
368#14273689C2311yescharacteristic
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59C2311yescharacteristic
376C4×C22⋊D59C2311yescharacteristic
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380#14273686—21no—
381#14273685C2311yescharacteristic
382#14273684—21no—
383#14273684—21no—
384#14273684C2311yescharacteristic
385#14273684C2311yescharacteristic
386#14273683—21no—
387C2×Dic59⋊C4—21no—
388C2×Dic59⋊C4—21no—
389C4⋊C4×D59—21no—
390C4⋊C4×D59C2311yescharacteristic
391C2×C22⋊Dic59—21no—
392C2×(C2×D59)⋊C4—21no—
393C2×(C2×D59)⋊C4—21no—
394C2×(C2×D59)⋊C4—21no—
395C22⋊C4×D59—21no—
396C22⋊C4×D59—21no—
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404C4⋊(C59⋊C8)C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439C8×Dic59C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C22×D4×C59C2311yescharacteristic
442C23×C4×C59—21no—
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C2×D8×C59C2311yescharacteristic
447#126×C59—21no—
448#125×C59C2311yescharacteristic
449#124×C59C2311yescharacteristic
450#123×C59—21no—
451C22⋊Q8×C59C2311yescharacteristic
452#121×C59C2311yescharacteristic
453C4×Q8×C59C2311yescharacteristic
454C4×D4×C59—21no—
455C4×D4×C59—21no—
456C4×D4×C59—21no—
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462#117×C59—21no—
463C2×C4⋊C4×C59C2311yescharacteristic
464C2×C22⋊C4×C59—21no—
465C2×C42×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C4×C8×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C2×Q8×C59C2411yescharacteristic
488C2×D4×C59—22no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—41no—
492C2×D4×C59C2411yescharacteristic
493C2×D4×C59C2411yescharacteristic
494C2×D4×C59C2411yescharacteristic
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—82no—
502C22×C4×C59C2×D411yescharacteristic
503C22×C4×C59C2×D411yescharacteristic
504C22×C4×C59C2411yescharacteristic
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—82no—
519C2×C22⋊D59C2×D411yescharacteristic
520C2×C22⋊D59C2×D411yescharacteristic
521C22×Dic59—21no—
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525#11745689—41no—
526#11745689—41no—
527Q8×D59—41no—
528Q8×D59—41no—
529#11745687—22no—
530#11745687—41no—
531#11745687—41no—
532#11745687—41no—
533D4×D59—22no—
534D4×D59—41no—
535D4×D59—41no—
536D4×D59—41no—
537#11745685—41no—
538#11745685—41no—
539#11745685—41no—
540#11745685—41no—
541#11745685—82no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—21no—
546C2×D236—21no—
547C2×D236—21no—
548C2×D236C2×D411yescharacteristic
549C2×D236C2411yescharacteristic
550C2×D236C2411yescharacteristic
551C2×D236C2411yescharacteristic
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59C2411yescharacteristic
562C2×C4×D59C2411yescharacteristic
563C2×Dic118—21no—
564C2×Dic118—21no—
565C2×Dic118C2×D411yescharacteristic
566C2×Dic118C2411yescharacteristic
567C2×Dic118C2411yescharacteristic
568C2×Dic118C2411yescharacteristic
569SD16×C59—22no—
570SD16×C59—41no—
571D8×C59—22no—
572D8×C59—41no—
573C2×C8×C59C2411yescharacteristic
574C2×C8×C59C2411yescharacteristic
575C2×C8×C59C2411yescharacteristic
576C2×C8×C59C2411yescharacteristic
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59C2411yescharacteristic
583C4⋊C4×C59C2411yescharacteristic
584C4⋊C4×C59C2411yescharacteristic
585C4⋊C4×C59C2411yescharacteristic
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C42×C59—21no—
596C42×C59C2×D411yescharacteristic
597C42×C59C2×D411yescharacteristic
598C42×C59C2411yescharacteristic
599C42×C59C2411yescharacteristic
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59C2×D411yescharacteristic
610C22⋊Dic59C2×D411yescharacteristic
611#11745672—41no—
612#11745671—41no—
613#11745670—22no—
614#11745670—22no—
615#11745670—41no—
616#11745670—41no—
617#11745670—41no—
618#11745669—22no—
619#11745669—22no—
620#11745669—41no—
621#11745669—41no—
622#11745669—41no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4C2×D411yescharacteristic
644(C2×D59)⋊C4C2×D411yescharacteristic
645(C2×D59)⋊C4C2×D411yescharacteristic
646(C2×D59)⋊C4C2×D411yescharacteristic
647(C2×D59)⋊C4C2×D411yescharacteristic
648(C2×D59)⋊C4C2×D411yescharacteristic
649(C2×D59)⋊C4C2×D411yescharacteristic
650(C2×D59)⋊C4C2×D411yescharacteristic
651C4⋊Dic59—21no—
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59C2×D411yescharacteristic
658C4⋊Dic59C2×D411yescharacteristic
659C4⋊Dic59C2411yescharacteristic
660C4⋊Dic59C2411yescharacteristic
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59C2411yescharacteristic
687C4×Dic59C2411yescharacteristic
688#11745664—41no—
689#11745664—41no—
690C2×C59⋊C8C2411yescharacteristic
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694Dic236—41no—
695Dic236—41no—
696D472—41no—
697D472—41no—
698#11745660—41no—
699#11745660—41no—
700#11745660—41no—
701#11745660—41no—
702#11745659—41no—
703#11745659—41no—
704C8×D59—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—42no—
710C23×C59—42no—
711C23×C59—81no—
712C23×C59C22×D411yescharacteristic
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—42no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59C22×D411yescharacteristic
723C22×D59C22×D411yescharacteristic
724Q8×C59—21no—
725Q8×C59—21no—
726D4×C59—21no—
727D4×C59—21no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—42no—
732D4×C59—81no—
733D4×C59H(5,𝔽2)12yes—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—41no—
742C2×C4×C59—41no—
743C2×C4×C59—42no—
744C2×C4×C59—81no—
745C2×C4×C59—81no—
746C2×C4×C59—81no—
747C2×C4×C59—81no—
748C2×C4×C59—81no—
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C2511yescharacteristic
755C22⋊D59—41no—
756C22⋊D59—41no—
757C22⋊D59—42no—
758C22⋊D59—42no—
759C22⋊D59—42no—
760C22⋊D59—81no—
761C22⋊D59—81no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C22⋊D59—81no—
765C22⋊D59—81no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—42no—
776C2×Dic59—81no—
777C2×Dic59—81no—
778C2×Dic59—81no—
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783C2×Dic59C22×D411yescharacteristic
784C2×Dic59C22×D411yescharacteristic
785D236—21no—
786D236—21no—
787D236—21no—
788D236—21no—
789D236—21no—
790D236—21no—
791D236—41no—
792D236—81no—
793D236—81no—
794D236—81no—
795D236—81no—
796D236—81no—
797D236—81no—
798C4×D59—21no—
799C4×D59—21no—
800C4×D59—21no—
801C4×D59—21no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805C4×D59—81no—
806C4×D59—81no—
807C4×D59—81no—
808C4×D59—81no—
809C4×D59—81no—
810C4×D59—81no—
811Dic118—21no—
812Dic118—21no—
813Dic118—21no—
814Dic118—21no—
815Dic118—21no—
816Dic118—21no—
817Dic118—41no—
818Dic118—81no—
819Dic118—81no—
820C8×C59—21no—
821C8×C59—21no—
822C8×C59—21no—
823C8×C59—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8—21no—
827C59⋊C8—21no—
828#62027—591nomaximal, Sylow
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—22no—
832C22×C59—21no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—84no—
842C22×C59C23×D411yescharacteristic
843C2×D59—21no—
844C2×D59—21no—
845C2×D59—21no—
846C2×D59—21no—
847C2×D59—21no—
848C2×D59—21no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—162no—
859C2×D59—162no—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59—21no—
863C4×C59—21no—
864C4×C59—21no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59—41no—
868C4×C59—41no—
869C4×C59—41no—
870C4×C59C2×H(5,𝔽2)11yescharacteristic
871C4×C59#58511yescharacteristic
872Dic59—21no—
873Dic59—21no—
874Dic59—21no—
875Dic59—21no—
876Dic59—21no—
877Dic59—21no—
878Dic59—41no—
879Dic59—41no—
880Dic59—41no—
881Dic59—41no—
882Dic59—41no—
883#3562—591no—
884#3513—591no—
885#3401—591no—
886#3396—591no—
887#3370—591no—
888#3360—591no—
889#3330—591no—
890#3327—591no—
891#3326—591no—
892#3317—591no—
893#3306—591no—
894#3297—591no—
895#3282—591no—
896#3274—591no—
897#3273—591no—
898#3273—591no—
899#3267—591no—
900#3265—591no—
901#3260—591no—
902#3257—591no—
903#3256—591no—
904#3225—591no—
905#3220—591no—
906#3212—591no—
907#3122—591no—
908#3120—591no—
909#3105D5911yescharacteristic, complemented
910#3045—591no—
911#3042—591no—
912#3036—591no—
913#2993—591no—
914C2×C59—42no—
915C2×C59—41no—
916C2×C59—81no—
917C2×C59—81no—
918C2×C59#348811yescharacteristic
919C2×C59#358411yescharacteristic
920C2×C59#358511yescharacteristic
921D59—41no—
922D59—41no—
923D59—81no—
924D59—81no—
925D59—81no—
926C2×AGL(1,ℤ/8)—591no—
927C2×AGL(1,ℤ/8)—591no—
928C2×AGL(1,ℤ/8)—591no—
929C2×AGL(1,ℤ/8)—591no—
930C2×#135—591no—
931C22×SD16—591no—
932#562—1181no—
933#560—1181no—
934#559—591no—
935#559—591no—
936#556—591no—
937#554—591no—
938#553—591no—
939#553—1181no—
940#553—1181no—
941#552—591no—
942#551—1181no—
943#551—1181no—
944#551—1181no—
945#550—591no—
946#548—591no—
947#548—591no—
948#547—591no—
949#547—591no—
950#546—591no—
951#546—591no—
952#546—591no—
953#546—591no—
954#546—1181no—
955D42—591no—
956#542—591no—
957#541—591no—
958#540—591no—
959#540—591no—
960#540—1181no—
961#539—1181no—
962#539—1181no—
963#538—1181no—
964#538—1181no—
965#538—1181no—
966#536—591no—
967#535—591no—
968#532—591no—
969#529—591no—
970#529—591no—
971#529C2×D5911yescharacteristic, complemented
972#525—1181no—
973C2×#123—1181no—
974#520—591no—
975#518—591no—
976C2×C4×D4C2×D5911yescharacteristic, complemented
977#497—591no—
978#496—591no—
979#495—591no—
980#495—591no—
981#495—591no—
982#493—591no—
983#490—591no—
984#489—591no—
985#488—591no—
986#488—591no—
987#488—591no—
988#487—591no—
989#484—591no—
990#484C2×D5911yescharacteristic, complemented
991#483—591no—
992#482—591no—
993#482—591no—
994#481C2×D5911yescharacteristic, complemented
995#479—591no—
996#479—591no—
997#479—591no—
998#479—591no—
999#478—591no—
1000#478—591no—
1001#478C2×D5911yescharacteristic, complemented
1002#478C2×D5911yescharacteristic, complemented
1003#476—591no—
1004#474—591no—
1005#470—591no—
1006#469—591no—
1007#469—591no—
1008#468—591no—
1009#468—591no—
1010#468—591no—
1011#468—591no—
1012#468—591no—
1013#466—591no—
1014#465—591no—
1015#465—591no—
1016#465—591no—
1017#464—591no—
1018#464—591no—
1019#464—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#463—591no—
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#463—591no—
1030#463—591no—
1031#463C2×D5911yescharacteristic
1032#463C2×D5911yescharacteristic, complemented
1033#462—591no—
1034#461—591no—
1035#461—591no—
1036#461—591no—
1037#461—591no—
1038#461—591no—
1039#460—591no—
1040#460—591no—
1041#460—591no—
1042#460—591no—
1043#459—591no—
1044#459—591no—
1045#459—591no—
1046#459—591no—
1047#452—591no—
1048#452—591no—
1049#452—591no—
1050#452—591no—
1051#452—591no—
1052#451—591no—
1053#450C2×D5911yescharacteristic, complemented
1054#449—591no—
1055#449—591no—
1056#449—591no—
1057#449—591no—
1058#449—591no—
1059#448—591no—
1060#447—591no—
1061#447—591no—
1062#447—591no—
1063#447—591no—
1064#447C2×D5911yescharacteristic
1065#446—591no—
1066C8×Q8—591no—
1067#442—591no—
1068#442—591no—
1069#441—591no—
1070#440—591no—
1071C4×Q16—591no—
1072C4×SD16—591no—
1073C4×SD16C2×D5911yescharacteristic, complemented
1074C4×SD16C2×D5911yescharacteristic, complemented
1075C4×D8—591no—
1076C4×D8—591no—
1077C4×D8C2×D5911yescharacteristic
1078C4×D8C2×D5911yescharacteristic, complemented
1079#436—591no—
1080#436—591no—
1081#436—591no—
1082#435—591no—
1083#435—591no—
1084C8×D4—591no—
1085#433—591no—
1086#433—591no—
1087#431C2×D5911yescharacteristic, complemented
1088#424—591no—
1089#424—591no—
1090#423—591no—
1091#419—591no—
1092#417—591no—
1093#417—591no—
1094#417—591no—
1095#416—591no—
1096C2×#102—591no—
1097C59#6202711yescharacteristic, complemented, Sylow
1098C2×#41—591no—
1099C2×#41—591no—
1100C2×#41—591no—
1101C2×#41—591no—
1102C2×#41—591no—
1103C2×#41—1181no—
1104C22×Q8—591no—
1105C22×D4—591no—
1106C22×D4—591no—
1107C22×D4—1181no—
1108C22×D4C22×D5911yescharacteristic
1109C23×C4—21no—
1110AGL(1,ℤ/8)—2362no—
1111AGL(1,ℤ/8)—2362no—
1112AGL(1,ℤ/8)—2362no—
1113AGL(1,ℤ/8)—2362no—
1114#135—2362no—
1115C2×Q16—591no—
1116C2×Q16—591no—
1117C2×Q16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—591no—
1127C2×SD16—591no—
1128C2×SD16—2362no—
1129C2×SD16C22×D5911yescharacteristic
1130C2×SD16C22×D5911yescharacteristic
1131C2×D8—591no—
1132C2×D8—591no—
1133C2×D8—591no—
1134C2×D8—591no—
1135C2×D8—591no—
1136C2×D8—591no—
1137C2×D8—591no—
1138C2×D8C22×D5911yescharacteristic
1139C2×D8C22×D5911yescharacteristic
1140C2×M16—591no—
1141C2×M16—591no—
1142C2×M16—591no—
1143C2×M16—591no—
1144C22×C8—591no—
1145C22×C8—591no—
1146C4⋊Q8—591no—
1147C4⋊Q8—591no—
1148C4⋊Q8—591no—
1149#127—591no—
1150#127—591no—
1151#127—591no—
1152#127—1181no—
1153#126—21no—
1154#126—591no—
1155#126—591no—
1156#126—1181no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#126—1181no—
1161#126—1181no—
1162#126—1181no—
1163#126—1181no—
1164#125—591no—
1165#125—591no—
1166#125—591no—
1167#125—1181no—
1168#125—1181no—
1169#125—1181no—
1170#125C22×D5911yescharacteristic
1171#124—591no—
1172#124—591no—
1173#124—591no—
1174#124—591no—
1175#124—591no—
1176#124—591no—
1177#124—591no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124C22×D5911yescharacteristic
1184#123—21no—
1185#123—591no—
1186#123—591no—
1187#123—1181no—
1188#123—1181no—
1189#123—1181no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
1212C22⋊Q8—591no—
1213C22⋊Q8—591no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8—1181no—
1224C22⋊Q8C22×D5911yescharacteristic
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—591no—
1229#121—591no—
1230#121—591no—
1231#121—591no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121C22×D5911yescharacteristic
1252#120—1181no—
1253#120—1181no—
1254#120—1181no—
1255#120—1181no—
1256#120—1181no—
1257#120—1181no—
1258#120—1181no—
1259#120—1181no—
1260C4×Q8—591no—
1261C4×Q8—591no—
1262C4×Q8—591no—
1263C4×Q8—591no—
1264C4×Q8—591no—
1265C4×Q8C22×D5911yescharacteristic
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4C22×D5911yescharacteristic
1292C4×D4C22×D5911yescharacteristic
1293C4×D4C22×D5911yescharacteristic
1294C4×D4C22×D5911yescharacteristic
1295C4×D4C22×D5911yescharacteristic
1296#117—21no—
1297#117—591no—
1298#117—591no—
1299#117—591no—
1300#117—1181no—
1301#117—1181no—
1302#117—1181no—
1303#117—1181no—
1304C2×C4⋊C4—591no—
1305C2×C4⋊C4—1181no—
1306C2×C4⋊C4—1181no—
1307C2×C4⋊C4—1181no—
1308C2×C4⋊C4C22×D5911yescharacteristic
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—1181no—
1311C2×C22⋊C4—1181no—
1312C2×C22⋊C4—1181no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C22⋊C4—1181no—
1316C2×C42C22×D5911yescharacteristic
1317#107—591no—
1318#107—591no—
1319#107C22×D5911yescharacteristic
1320#107C22×D5911yescharacteristic
1321#106—591no—
1322#106—591no—
1323#106C22×D5911yescharacteristic
1324#106C22×D5911yescharacteristic
1325C4⋊C8—591no—
1326C4⋊C8—591no—
1327C4⋊C8—591no—
1328C4⋊C8—591no—
1329C4⋊C8—591no—
1330C4⋊C8—591no—
1331C4⋊C8—591no—
1332C4⋊C8—591no—
1333C4⋊C8C22×D5911yescharacteristic
1334C4⋊C8C22×D5911yescharacteristic
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#103—591no—
1341#103—591no—
1342#103—591no—
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103C22×D5911yescharacteristic
1348#103C22×D5911yescharacteristic
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102C22×D5911yescharacteristic
1362#102C22×D5911yescharacteristic
1363#102C22×D5911yescharacteristic
1364#102C22×D5911yescharacteristic
1365#102C22×D5911yescharacteristic
1366#102C22×D5911yescharacteristic
1367C22⋊C8—591no—
1368C22⋊C8—591no—
1369C22⋊C8—591no—
1370C22⋊C8—591no—
1371C22⋊C8C22×D5911yescharacteristic
1372C22⋊C8C22×D5911yescharacteristic
1373#97—591no—
1374#97—591no—
1375C4×C8—591no—
1376C4×C8—591no—
1377C4×C8C22×D5911yescharacteristic
1378C4×C8C22×D5911yescharacteristic
1379C24—21no—
1380C24—1181no—
1381C24—1181no—
1382#41—1182no—
1383#41—4722no—
1384#41—2361no—
1385#41—2361no—
1386#41—2361no—
1387#41—2361no—
1388#41—2361no—
1389#41—2361no—
1390#41—2361no—
1391#41—2361no—
1392#41—2361no—
1393C2×Q8—591no—
1394C2×Q8—591no—
1395C2×Q8—591no—
1396C2×Q8—591no—
1397C2×Q8—1181no—
1398C2×Q8—1181no—
1399C2×Q8—2361no—
1400C2×Q8—2361no—
1401C2×Q8C23×D5911yescharacteristic
1402C2×D4—22no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—41no—
1406C2×D4—591no—
1407C2×D4—591no—
1408C2×D4—591no—
1409C2×D4—591no—
1410C2×D4—591no—
1411C2×D4—591no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1182no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—4722no—
1433C2×D4—2361no—
1434C2×D4—2361no—
1435C2×D4—2361no—
1436C2×D4C23×D5911yescharacteristic
1437C2×D4C23×D5911yescharacteristic
1438C2×D4C23×D5911yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—82no—
1446C22×C4—591no—
1447C22×C4—591no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—1181no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4D4×D5911yescharacteristic
1462C22×C4D4×D5911yescharacteristic
1463C22×C4C23×D5911yescharacteristic
1464Q16—2361no—
1465Q16—2361no—
1466Q16—2361no—
1467SD16—22no—
1468SD16—41no—
1469SD16—1182no—
1470SD16—1182no—
1471SD16—2361no—
1472SD16—2361no—
1473SD16—2361no—
1474SD16—2361no—
1475SD16—2361no—
1476SD16—2361no—
1477SD16—2361no—
1478SD16—2361no—
1479D8—22no—
1480D8—41no—
1481D8—1182no—
1482D8—1182no—
1483D8—2361no—
1484D8—2361no—
1485D8—2361no—
1486D8—2361no—
1487D8—2361no—
1488M16—2361no—
1489M16—2361no—
1490M16—2361no—
1491M16—2361no—
1492C2×C8—591no—
1493C2×C8—591no—
1494C2×C8—591no—
1495C2×C8—591no—
1496C2×C8—2361no—
1497C2×C8—2361no—
1498C2×C8C23×D5911yescharacteristic
1499C2×C8C23×D5911yescharacteristic
1500C2×C8C23×D5911yescharacteristic
1501C2×C8C23×D5911yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—591no—
1508C4⋊C4—591no—
1509C4⋊C4—591no—
1510C4⋊C4—591no—
1511C4⋊C4—591no—
1512C4⋊C4—591no—
1513C4⋊C4—591no—
1514C4⋊C4—591no—
1515C4⋊C4—591no—
1516C4⋊C4—591no—
1517C4⋊C4—591no—
1518C4⋊C4—591no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4C23×D5911yescharacteristic
1538C4⋊C4C23×D5911yescharacteristic
1539C4⋊C4C23×D5911yescharacteristic
1540C4⋊C4C23×D5911yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—591no—
1551C22⋊C4—591no—
1552C22⋊C4—591no—
1553C22⋊C4—591no—
1554C22⋊C4—591no—
1555C22⋊C4—591no—
1556C22⋊C4—591no—
1557C22⋊C4—591no—
1558C22⋊C4—591no—
1559C22⋊C4—591no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C42—21no—
1590C42—591no—
1591C42—591no—
1592C42—1181no—
1593C42—1181no—
1594C42—1181no—
1595C42—1181no—
1596C42—1181no—
1597C42D4×D5911yescharacteristic
1598C42D4×D5911yescharacteristic
1599C42C23×D5911yescharacteristic
1600C42C23×D5911yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—42no—
1605C23—42no—
1606C23—81no—
1607C23—591no—
1608C23—591no—
1609C23—1181no—
1610C23—1181no—
1611C23—1181no—
1612C23—4721no—
1613C23—4721no—
1614C23—4721no—
1615C23—4721no—
1616C23—4721no—
1617C23—2362no—
1618C23C2×D4×D5911yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—1181no—
1622Q8—1181no—
1623Q8—1181no—
1624Q8—1181no—
1625Q8—1181no—
1626Q8—1181no—
1627Q8—4721no—
1628Q8—4721no—
1629Q8—2361no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—42no—
1636D4—81no—
1637D4—1181no—
1638D4—1181no—
1639D4—1181no—
1640D4—1181no—
1641D4—1181no—
1642D4—1181no—
1643D4—4721no—
1644D4—4721no—
1645D4—4721no—
1646D4—4721no—
1647D4—4721no—
1648D4—4721no—
1649D4—4721no—
1650D4—4721no—
1651D4—4721no—
1652D4—4721no—
1653D4—4721no—
1654D4—4721no—
1655D4—4721no—
1656D4—4721no—
1657D4—4721no—
1658D4—4721no—
1659D4—2361no—
1660D4—2361no—
1661D4—2361no—
1662D4—2362no—
1663D4—2362no—
1664D4—2362no—
1665D4#1427377312yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—42no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—591no—
1682C2×C4—591no—
1683C2×C4—591no—
1684C2×C4—591no—
1685C2×C4—591no—
1686C2×C4—591no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—1181no—
1696C2×C4—4721no—
1697C2×C4—4721no—
1698C2×C4—4721no—
1699C2×C4—4721no—
1700C2×C4—4721no—
1701C2×C4—4721no—
1702C2×C4—4721no—
1703C2×C4—4721no—
1704C2×C4—4721no—
1705C2×C4—4721no—
1706C2×C4—4721no—
1707C2×C4—4721no—
1708C2×C4—2362no—
1709C2×C4C2×D4×D5911yescharacteristic
1710C2×C4C2×D4×D5911yescharacteristic
1711C2×C4C2×D4×D5911yescharacteristic
1712C2×C4C2×D4×D5911yescharacteristic
1713C2×C4C2×D4×D5911yescharacteristic
1714C2×C4C24×D5911yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1181no—
1720C8—1181no—
1721C8—1181no—
1722C8—1181no—
1723C22—21no—
1724C22—22no—
1725C22—21no—
1726C22—21no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—84no—
1736C22—1181no—
1737C22—1181no—
1738C22—1181no—
1739C22—1181no—
1740C22—1181no—
1741C22—1181no—
1742C22—9442no—
1743C22—9442no—
1744C22—2361no—
1745C22—2361no—
1746C22—2361no—
1747C22—2361no—
1748C22—2361no—
1749C22—2361no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22C22×D4×D5911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—1181no—
1765C4—1181no—
1766C4—1181no—
1767C4—1181no—
1768C4—1181no—
1769C4—1181no—
1770C4—2361no—
1771C4—2361no—
1772C4—2361no—
1773C4—2361no—
1774C4—2361no—
1775C4C2×#1427377311yescharacteristic
1776C4#1683823811yescharacteristic
1777C2—41no—
1778C2—42no—
1779C2—81no—
1780C2—81no—
1781C2—4721no—
1782C2—4721no—
1783C2—4721no—
1784C2—2361no—
1785C2—2361no—
1786C2#2143775711yescharacteristic
1787C2#2143886511yescharacteristic
1788C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3105C2
socleC22×C59C23×D4
hypercenter#3105D59
hypocenterC59#62027
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3105

Complements

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

NH ≅ G/Ntype
1. #21438676C2semidirect
2. #21438036C2semidirect
3. #21437158C2semidirect
4. #21437108C2semidirect
5. #21436845C2semidirect
6. #21436746C2semidirect
7. #21436399C2semidirect
8. #21436367C2semidirect
9. #21436354C2semidirect
10. #21436225C2semidirect
11. #21436060C2semidirect
12. #21435951C2semidirect
13. #21435805C2semidirect
14. #21435714C2semidirect
15. #21435707C2semidirect
16. #21435706C2semidirect
17. #21435619C2semidirect
18. #21435589C2semidirect
19. #21435544C2semidirect
20. #21435511C2semidirect
21. #21435492C2semidirect
22. #21435202C2semidirect
23. #21435143C2semidirect
24. #21435074C2semidirect
25. #21434341C2semidirect
26. #21434315C2semidirect
27. #21433636C2semidirect
28. #21433606C2semidirect
29. #21433560C2semidirect
30. #21433247C2semidirect
31. C59×#3105C2semidirect
33. C2×#14273753C22semidirect
37. C2×SD16×D59C22semidirect
40. #16838135C22semidirect
41. #16838135C22semidirect
42. #16838124C22semidirect
43. #16838111C22semidirect
47. #16838087C22semidirect
52. #16838064C22semidirect
54. #16838054C22semidirect
56. #16838049C22semidirect
58. #16838047C22semidirect
61. D4×C22⋊D59C22semidirect
62. #16838017C22semidirect
63. #16838015C22semidirect
64. #16838008C22semidirect
72. #16837972C22semidirect
73. #16837970C22semidirect
74. #16837952C22semidirect
76. #16837936C22semidirect
80. #16837874C22semidirect
81. #16837793C22semidirect
83. #16837786C22semidirect
84. #16837786C22semidirect
85. #16837785C22semidirect
87. #16837765C22semidirect
88. #16837760C22semidirect
89. #16837758C22semidirect
90. #16837757C22semidirect
91. #16837757C22semidirect
92. #16837751C22semidirect
93. #16837739C22semidirect
94. #16837734C22semidirect
95. #16837729C22semidirect
96. #16837728C22semidirect
97. #16837712C22semidirect
98. #16837709C22semidirect
99. #16837708C22semidirect
100. #16837706C22semidirect
101. #16837702C22semidirect
102. #16837699C22semidirect
103. #16837691C22semidirect
104. #16837681C22semidirect
105. #16837658C22semidirect
106. #16837654C22semidirect
108. #16837650C22semidirect
109. #16837649C22semidirect
110. #16837649C22semidirect
111. #16837647C22semidirect
112. #16837646C22semidirect
114. #16837632C22semidirect
115. #16837632C22semidirect
116. #16837630C22semidirect
117. #16837627C22semidirect
118. #16837624C22semidirect
119. #16837621C22semidirect
122. #16837617C22semidirect
123. #16837617C22semidirect
124. #16837617C22semidirect
125. #16837617C22semidirect
126. #16837616C22semidirect
127. #16837616C22semidirect
128. #16837616C22semidirect
130. #16837614C22semidirect
131. #16837613C22semidirect
132. #16837608C22semidirect
133. #16837607C22semidirect
134. #16837607C22semidirect
135. #16837606C22semidirect
136. #16837605C22semidirect
137. #16837603C22semidirect
138. #16837601C22semidirect
139. #16837601C22semidirect
140. #16837601C22semidirect
141. #16837598C22semidirect
143. #16837597C22semidirect
145. #16837566C22semidirect
146. #16837566C22semidirect
149. #16837565C22semidirect
150. #16837559C22semidirect
151. #16837550C22semidirect
153. #16837549C22semidirect
154. #16837546C22semidirect
156. #16837539C22semidirect
158. #16837537C22semidirect
159. #16837537C22semidirect
160. #16837534C22semidirect
161. #16837532C22semidirect
162. C8×Dic118C22semidirect
163. #16837513C22semidirect
164. #16837511C22semidirect
165. #16837508C22semidirect
166. #16837499C22semidirect
167. #16837496C22semidirect
168. #16837493C22semidirect
169. #16837484C22semidirect
171. #16837481C22semidirect
172. #16837477C22semidirect
173. #16837477C22semidirect
174. #16837476C22semidirect
175. #16837476C22semidirect
176. C8×D236C22semidirect
177. #16837462C22semidirect
178. #16837462C22semidirect
179. #16837427C22semidirect
180. #16837427C22semidirect
181. #16837426C22semidirect
182. #16837409C22semidirect
183. #16837402C22semidirect
184. #16837401C22semidirect
185. #16837401C22semidirect
186. #16837395C22semidirect
187. #102×D59C22semidirect
188. C59×#529C22semidirect
189. C2×C4×D4×C59C22semidirect
190. C59×#484C22semidirect
191. C59×#481C22semidirect
192. C59×#478C22semidirect
193. C59×#478C22semidirect
195. C59×#463C22semidirect
196. C59×#450C22semidirect
198. C4×SD16×C59C22semidirect
199. C4×SD16×C59C22semidirect
201. C4×D8×C59C22semidirect
202. C59×#431C22semidirect
909. #3105D59semidirect
971. #529C2×D59semidirect
976. C2×C4×D4C2×D59semidirect
990. #484C2×D59semidirect
994. #481C2×D59semidirect
1001. #478C2×D59semidirect
1002. #478C2×D59semidirect
1032. #463C2×D59semidirect
1053. #450C2×D59semidirect
1073. C4×SD16C2×D59semidirect
1074. C4×SD16C2×D59semidirect
1078. C4×D8C2×D59semidirect
1087. #431C2×D59semidirect
1097. C59#62027semidirect

Maximal subgroups

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

subgroupindex
#214386762
#214380362
#214371582
#214371082
#214368452
#214367462
#214363992
#214363672
#214363542
#214362252
#214360602
#214359512
#214358052
#214357142
#214357072
#214357062
#214356192
#214355892
#214355442
#214355112
#214354922
#214352022
#214351432
#214350742
#214343412
#214343152
#214336362
#214336062
#214335602
#214332472
C59×#31052
#6202759