Finite Group Databasebeta

← #29483891

Subgroups — #29483891

Order 15104.

1900 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438428C211yesmaximal, characteristic, complemented
2#21438196C211yesmaximal, characteristic, complemented
3#21437184C211yesmaximal, characteristic, complemented
4#21437139C211yesmaximal, characteristic, complemented
5#21436863C211yesmaximal, characteristic, complemented
6#21436824C211yesmaximal, characteristic, complemented
7#21436332C211yesmaximal, characteristic, complemented
8#21436310C211yesmaximal, characteristic, complemented
9#21436240C211yesmaximal, characteristic, complemented
10#21436118C211yesmaximal, characteristic, complemented
11#21436098C211yesmaximal, characteristic, complemented
12#21435723C211yesmaximal, characteristic, complemented
13#21435714C211yesmaximal, characteristic, complemented
14#21435679C211yesmaximal, characteristic, complemented
15#21435643C211yesmaximal, characteristic, complemented
16#21435596C211yesmaximal, characteristic, complemented
17#21435588C211yesmaximal, characteristic, complemented
18#21435530C211yesmaximal, characteristic, complemented
19#21435514C211yesmaximal, characteristic, complemented
20#21435493C211yesmaximal, characteristic, complemented
21#21435191C211yesmaximal, characteristic, complemented
22#21435144C211yesmaximal, characteristic, complemented
23#21435112C211yesmaximal, characteristic, complemented
24#21434383C211yesmaximal, characteristic, complemented
25#21434299C211yesmaximal, characteristic, complemented
26#21434208C211yesmaximal, characteristic, complemented
27#21433636C211yesmaximal, characteristic, complemented
28#21433620C211yesmaximal, characteristic, complemented
29#21433575C211yesmaximal, characteristic, complemented
30#21433267C211yesmaximal, characteristic, complemented
31C59×#3319C211yesmaximal, characteristic, complemented
32C2×#14273757C2211yescharacteristic, complemented
33C2×#14273755C2211yescharacteristic, complemented
34C2×#14273753C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C2×#14273748C2211yescharacteristic, complemented
37C22×#11745660C2211yescharacteristic, complemented
38#16838142—21no—
39#16838140—21no—
40#16838135C2211yescharacteristic, complemented
41#16838134—21no—
42#16838134C2211yescharacteristic
43#16838127C2211yescharacteristic, complemented
44#16838114—21no—
45#16838096C2211yescharacteristic, complemented
46#16838095—21no—
47#16838091C2211yescharacteristic, complemented
48#16838085—21no—
49#16838073C2211yescharacteristic
50#16838071C2211yescharacteristic
51#16838070C2211yescharacteristic, complemented
52#16838061C2211yescharacteristic, complemented
53#16838058C2211yescharacteristic, complemented
54#16838043C2211yescharacteristic
55#16838042—21no—
56D4×D236C2211yescharacteristic
57#16838036C2211yescharacteristic
58D4×C22⋊D59C2211yescharacteristic
59#16838034—21no—
60#16838026C2211yescharacteristic, complemented
61#16838016—21no—
62#16838005C2211yescharacteristic
63#16838005C2211yescharacteristic, complemented
64#16838004—21no—
65#16838003C2211yescharacteristic
66#16838002—21no—
67#16837970C2211yescharacteristic
68#16837968—21no—
69#16837966C2211yescharacteristic
70#16837964—21no—
71#16837962—21no—
72C2×#14273723C2211yescharacteristic
73#16837938C2211yescharacteristic
74#16837933C2211yescharacteristic, complemented
75#16837932C2211yescharacteristic
76#16837931—21no—
77#16837930—21no—
78#16837881C2211yescharacteristic, complemented
79#16837879C2211yescharacteristic, complemented
80#16837870C2211yescharacteristic, complemented
81#16837791C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic
83#16837790C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837784C2211yescharacteristic, complemented
86#16837777C2211yescharacteristic, complemented
87#16837765C2211yescharacteristic
88#16837765C2211yescharacteristic, complemented
89#16837765C2211yescharacteristic, complemented
90#16837758C2211yescharacteristic, complemented
91#16837750C2211yescharacteristic, complemented
92#16837726C2211yescharacteristic
93#16837726C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837714C2211yescharacteristic, complemented
96#16837712C2211yescharacteristic, complemented
97#16837711C2211yescharacteristic, complemented
98#16837708C2211yescharacteristic, complemented
99#16837705C2211yescharacteristic, complemented
100#16837705C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837700C2211yescharacteristic, complemented
103#16837700C2211yescharacteristic, complemented
104#16837689C2211yescharacteristic, complemented
105#16837658C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837653C2211yescharacteristic
108#16837653C2211yescharacteristic, complemented
109#16837653C2211yescharacteristic, complemented
110#16837649C2211yescharacteristic, complemented
111#16837648C2211yescharacteristic
112#16837639C2211yescharacteristic, complemented
113#16837638C2211yescharacteristic, complemented
114#16837630C2211yescharacteristic, complemented
115#16837627C2211yescharacteristic, complemented
116#16837627C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837627C2211yescharacteristic, complemented
119#16837622C2211yescharacteristic, complemented
120#16837621C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic, complemented
123#16837618C2211yescharacteristic, complemented
124#16837617C2211yescharacteristic, complemented
125#16837616C2211yescharacteristic, complemented
126#16837603C2211yescharacteristic, complemented
127#16837601C2211yescharacteristic
128#16837601C2211yescharacteristic, complemented
129#16837601C2211yescharacteristic, complemented
130#16837601C2211yescharacteristic, complemented
131#16837601C2211yescharacteristic, complemented
132#16837601C2211yescharacteristic, complemented
133#16837601C2211yescharacteristic, complemented
134#16837601C2211yescharacteristic, complemented
135#16837597C2211yescharacteristic, complemented
136#16837596C2211yescharacteristic
137#16837596C2211yescharacteristic, complemented
138#16837596C2211yescharacteristic, complemented
139#16837596C2211yescharacteristic, complemented
140#16837596C2211yescharacteristic, complemented
141#16837595C2211yescharacteristic, complemented
142#16837595C2211yescharacteristic, complemented
143#16837595C2211yescharacteristic, complemented
144#16837567C2211yescharacteristic, complemented
145#16837562C2211yescharacteristic, complemented
146#16837555C2211yescharacteristic, complemented
147#16837554C2211yescharacteristic, complemented
148#16837553C2211yescharacteristic, complemented
149#16837550C2211yescharacteristic, complemented
150#16837549C2211yescharacteristic
151#16837548C2211yescharacteristic, complemented
152#16837547C2211yescharacteristic, complemented
153#16837544C2211yescharacteristic, complemented
154#16837543C2211yescharacteristic, complemented
155#16837540C2211yescharacteristic, complemented
156#16837538C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837535C2211yescharacteristic, complemented
159#16837535C2211yescharacteristic, complemented
160#16837530C2211yescharacteristic, complemented
161#16837529C2211yescharacteristic, complemented
162#16837513C2211yescharacteristic, complemented
163#16837506C2211yescharacteristic, complemented
164#16837505C2211yescharacteristic, complemented
165#16837504C2211yescharacteristic, complemented
166#16837501C2211yescharacteristic, complemented
167#16837501C2211yescharacteristic, complemented
168#16837499C2211yescharacteristic, complemented
169#16837493C2211yescharacteristic, complemented
170#16837489C2211yescharacteristic, complemented
171C4×#11745670C2211yescharacteristic, complemented
172C4×#11745669C2211yescharacteristic, complemented
173#16837480C2211yescharacteristic, complemented
174#16837477C2211yescharacteristic, complemented
175#16837476C2211yescharacteristic, complemented
176#16837473C2211yescharacteristic, complemented
177#16837471C2211yescharacteristic, complemented
178#16837464C2211yescharacteristic, complemented
179#16837460C2211yescharacteristic, complemented
180#16837456C2211yescharacteristic, complemented
181#16837428C2211yescharacteristic, complemented
182#16837427C2211yescharacteristic, complemented
183#16837425C2211yescharacteristic, complemented
184#16837406C2211yescharacteristic, complemented
185#16837406C2211yescharacteristic, complemented
186#16837402C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#555C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic
190C59×#489C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C22×Dic118C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×C22⋊D59—21no—
211C22×C22⋊D59—21no—
212C22×C22⋊D59—21no—
213C2×D4×D59—21no—
214C2×D4×D59—21no—
215C2×D4×D59C2311yescharacteristic
216#14273757—42no—
217#14273755—42no—
218#14273753—42no—
219#14273751—42no—
220#14273748—42no—
221C2×#11745672C2311yescharacteristic
222C2×#11745672C2311yescharacteristic
223C2×#11745660—42no—
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745660C2311yescharacteristic
229C2×#11745660C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235C2×D472C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745664C2311yescharacteristic
244C2×#11745664C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×C8×D59C2311yescharacteristic
247#14273725—21no—
248#14273724C2311yescharacteristic
249#14273723—21no—
250#14273723—21no—
251#14273723—21no—
252#14273723—21no—
253#14273723C2311yescharacteristic
254#14273723C2311yescharacteristic
255#14273723C2311yescharacteristic
256#14273723C2311yescharacteristic
257#14273723C2311yescharacteristic
258#14273723C2311yescharacteristic
259#14273722—21no—
260#14273722—21no—
261#14273722D411yescharacteristic
262#14273721—21no—
263#14273720—21no—
264#14273720—21no—
265#14273720D411yescharacteristic
266#14273719—21no—
267#14273718C2311yescharacteristic
268#14273718C2311yescharacteristic
269#14273718C2311yescharacteristic
270#14273717—21no—
271#14273717—21no—
272#14273717D411yescharacteristic
273#14273716—21no—
274#14273716C2311yescharacteristic
275#14273716C2311yescharacteristic
276#14273715C2311yescharacteristic
277#14273714C2311yescharacteristic
278#14273713—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713D411yescharacteristic
283#14273712—21no—
284#14273712—21no—
285#14273711—21no—
286#14273711—21no—
287#14273711—21no—
288#14273711—21no—
289#14273711D411yescharacteristic
290#14273710—21no—
291#14273710—21no—
292#14273709—21no—
293#14273709—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709—21no—
297#14273709—21no—
298#14273709—21no—
299#14273708—21no—
300#14273708D411yescharacteristic
301#14273707C2311yescharacteristic
302#14273706C2311yescharacteristic
303#14273705—21no—
304#14273704—21no—
305#14273704D411yescharacteristic
306#14273703—21no—
307#14273702—21no—
308#14273702—21no—
309#14273702C2311yescharacteristic
310#14273702C2311yescharacteristic
311#14273701—21no—
312#14273701—21no—
313#14273701—21no—
314#14273701—21no—
315#14273701—21no—
316#14273701C2311yescharacteristic
317#14273701C2311yescharacteristic
318#14273701C2311yescharacteristic
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273700—21no—
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273699—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273699—21no—
332#14273699—21no—
333#14273699D411yescharacteristic
334#14273698—21no—
335#14273698—21no—
336#14273698—21no—
337#14273698C2311yescharacteristic
338#14273697—21no—
339#14273697—21no—
340#14273697—21no—
341#14273697—21no—
342#14273697—21no—
343#14273697—21no—
344#14273696—21no—
345#14273695—21no—
346#14273695—21no—
347#14273695—21no—
348#14273695—21no—
349Q8×Dic59—21no—
350Q8×Dic59C2311yescharacteristic
351C4×Dic118—21no—
352C4×Dic118—21no—
353C4×Dic118C2311yescharacteristic
354C4×Dic118C2311yescharacteristic
355#14273692C2311yescharacteristic
356#14273692C2311yescharacteristic
357#14273692C2311yescharacteristic
358#14273692C2311yescharacteristic
359#14273692C2311yescharacteristic
360C4×D236—21no—
361C4×D236C2311yescharacteristic
362D4×Dic59—21no—
363D4×Dic59—21no—
364D4×Dic59C2311yescharacteristic
365D4×Dic59C2311yescharacteristic
366#14273689C2311yescharacteristic
367#14273689C2311yescharacteristic
368#14273689C2311yescharacteristic
369#14273689C2311yescharacteristic
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59C2311yescharacteristic
374C4×C22⋊D59C2311yescharacteristic
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381(C22⋊D59)⋊C4—21no—
382#14273686C2311yescharacteristic
383#14273685—21no—
384#14273684—21no—
385#14273684—21no—
386#14273684C2311yescharacteristic
387#14273683—21no—
388#14273683—21no—
389#14273683—21no—
390#14273683—21no—
391C2×Dic59⋊C4—21no—
392C4⋊C4×D59C2311yescharacteristic
393C22⋊C4×D59—21no—
394C2×C4×Dic59C2311yescharacteristic
395C42×D59—21no—
396#14273661C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436#14273637C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439C4×C59⋊C8C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442C22×D4×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C2×M16×C59C2311yescharacteristic
447C22×C8×C59C2311yescharacteristic
448C4⋊Q8×C59C2311yescharacteristic
449#124×C59—21no—
450#124×C59—21no—
451#124×C59C2311yescharacteristic
452#123×C59—21no—
453C22⋊Q8×C59C2311yescharacteristic
454#121×C59—21no—
455#121×C59—21no—
456#121×C59C2311yescharacteristic
457#121×C59C2311yescharacteristic
458#121×C59C2311yescharacteristic
459#120×C59—21no—
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463#117×C59—21no—
464#117×C59C2311yescharacteristic
465#117×C59C2311yescharacteristic
466C2×C22⋊C4×C59—21no—
467#107×C59C2311yescharacteristic
468#107×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488#41×C59—41no—
489#41×C59—41no—
490C2×Q8×C59—21no—
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—41no—
498C2×D4×C59—41no—
499C2×D4×C59C2×D411yescharacteristic
500C2×D4×C59C2411yescharacteristic
501C2×D4×C59C2411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59C2411yescharacteristic
507C22×C4×C59C2411yescharacteristic
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—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—82no—
528C2×C22⋊D59—82no—
529C2×C22⋊D59—82no—
530C2×C22⋊D59C2×D411yescharacteristic
531C2×C22⋊D59C2×D411yescharacteristic
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59C2×D411yescharacteristic
537C22×Dic59C2×D411yescharacteristic
538#11745689—41no—
539#11745689—41no—
540#11745687—22no—
541#11745687—41no—
542D4×D59—41no—
543D4×D59—41no—
544D4×D59—82no—
545D4×D59—82no—
546#11745685—22no—
547#11745685—41no—
548#11745685—82no—
549C2×D236—21no—
550C2×D236—21no—
551C2×D236—21no—
552C2×D236—21no—
553C2×D236—21no—
554C2×D236—21no—
555C2×D236—21no—
556C2×D236—41no—
557C2×D236—41no—
558C2×D236—41no—
559C2×D236—41no—
560C2×D236C2411yescharacteristic
561C2×D236C2411yescharacteristic
562C2×D236C2411yescharacteristic
563C2×D236C2411yescharacteristic
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59C2411yescharacteristic
573C2×Dic118—22no—
574C2×Dic118—21no—
575C2×Dic118—41no—
576C2×Dic118C2×D411yescharacteristic
577C2×Dic118C2411yescharacteristic
578C2×Dic118C2411yescharacteristic
579SD16×C59—41no—
580D8×C59—41no—
581D8×C59—41no—
582M16×C59—41no—
583C2×C8×C59—41no—
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59C2×D411yescharacteristic
591C4⋊C4×C59C2411yescharacteristic
592C4⋊C4×C59C2411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59C2×D411yescharacteristic
606C22⋊C4×C59C2×D411yescharacteristic
607C42×C59—21no—
608C42×C59—21no—
609C42×C59C2411yescharacteristic
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59C2×D411yescharacteristic
617C22⋊Dic59C2×D411yescharacteristic
618C22⋊Dic59C2×D411yescharacteristic
619C22⋊Dic59C2×D411yescharacteristic
620#11745672—22no—
621#11745672—41no—
622#11745671—41no—
623#11745670—22no—
624#11745670—22no—
625#11745670—41no—
626#11745670—41no—
627#11745669—41no—
628#11745669—41no—
629#11745669—41no—
630#11745669—41no—
631#11745669—41no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4C2×D411yescharacteristic
650(C2×D59)⋊C4C2×D411yescharacteristic
651(C2×D59)⋊C4C2×D411yescharacteristic
652(C2×D59)⋊C4C2×D411yescharacteristic
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59—21no—
658C4⋊Dic59C2×D411yescharacteristic
659C4⋊Dic59C2×D411yescharacteristic
660C4⋊Dic59C2×D411yescharacteristic
661C4⋊Dic59C2411yescharacteristic
662C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C4×Dic59C2411yescharacteristic
691C4×Dic59C2411yescharacteristic
692#11745664—41no—
693#11745664—41no—
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698D472—41no—
699D472—41no—
700D472—41no—
701#11745660—22no—
702#11745660—22no—
703#11745660—22no—
704#11745660—41no—
705#11745660—41no—
706#11745660—41no—
707#11745659—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—42no—
713C23×C59—81no—
714C23×C59—81no—
715C23×C59C22×D411yescharacteristic
716C23×C59C22×D411yescharacteristic
717C22×D59—21no—
718C22×D59—21no—
719C22×D59—21no—
720C22×D59—21no—
721C22×D59—42no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—81no—
730C22×D59C22×D411yescharacteristic
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—81no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—41no—
741D4×C59—81no—
742D4×C59—81no—
743D4×C59—81no—
744D4×C59—81no—
745D4×C59—81no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—81no—
756C2×C4×C59—81no—
757C2×C4×C59—81no—
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C2511yescharacteristic
763C22⋊D59—41no—
764C22⋊D59—41no—
765C22⋊D59—42no—
766C22⋊D59—42no—
767C22⋊D59—42no—
768C22⋊D59—42no—
769C22⋊D59—42no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C22⋊D59—81no—
781C22⋊D59—81no—
782C22⋊D59—81no—
783C22⋊D59—81no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—41no—
789C2×Dic59—41no—
790C2×Dic59—42no—
791C2×Dic59—42no—
792C2×Dic59—81no—
793C2×Dic59—81no—
794C2×Dic59C22×D411yescharacteristic
795C2×Dic59C22×D411yescharacteristic
796C2×Dic59C22×D411yescharacteristic
797C2×Dic59C22×D411yescharacteristic
798C2×Dic59C22×D411yescharacteristic
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801D236—21no—
802D236—21no—
803D236—21no—
804D236—21no—
805D236—21no—
806D236—21no—
807D236—21no—
808D236—21no—
809D236—81no—
810D236—81no—
811D236—81no—
812D236—81no—
813D236—81no—
814D236—81no—
815D236—81no—
816C4×D59—21no—
817C4×D59—21no—
818C4×D59—42no—
819C4×D59—42no—
820C4×D59—81no—
821C4×D59—81no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825C4×D59—81no—
826Dic118—21no—
827Dic118—21no—
828Dic118—21no—
829Dic118—41no—
830Dic118—42no—
831Dic118H(5,𝔽2)12yes—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62081—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—21no—
845C22×C59—21no—
846C22×C59—21no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—162no—
857C22×C59C23×D411yescharacteristic
858C2×D59—21no—
859C2×D59—21no—
860C2×D59—21no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—162no—
874C2×D59—162no—
875C2×D59—162no—
876C4×C59—21no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—41no—
881C4×C59—41no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59C2×H(5,𝔽2)11yescharacteristic
886C4×C59#58511yescharacteristic
887Dic59—21no—
888Dic59—21no—
889Dic59—21no—
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—22no—
894Dic59—21no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898#3543—591no—
899#3524—591no—
900#3403—591no—
901#3399—591no—
902#3371—591no—
903#3368—591no—
904#3325—591no—
905#3323—591no—
906#3319D5911yescharacteristic, complemented
907#3318—591no—
908#3310—591no—
909#3309—591no—
910#3275—591no—
911#3274—591no—
912#3271—591no—
913#3268—591no—
914#3265—591no—
915#3265—591no—
916#3259—591no—
917#3257—591no—
918#3256—591no—
919#3224—591no—
920#3220—591no—
921#3217—591no—
922#3126—591no—
923#3119—591no—
924#3111—591no—
925#3045—591no—
926#3043—591no—
927#3038—591no—
928#2995—591no—
929C2×C59—41no—
930C2×C59—41no—
931C2×C59—81no—
932C2×C59—81no—
933C2×C59—81no—
934C2×C59#348811yescharacteristic
935C2×C59#358511yescharacteristic
936C2×C59#358511yescharacteristic
937D59—41no—
938D59—81no—
939D59—81no—
940D59—81no—
941D59—81no—
942C2×#137—591no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×#135—591no—
947C22×SD16—591no—
948#560—1181no—
949#560—1181no—
950#559—591no—
951#559—591no—
952#559—1181no—
953#557—591no—
954#555—1181no—
955#555C2×D5911yescharacteristic, complemented
956#553—591no—
957#553—1181no—
958#552—591no—
959#552—1181no—
960#550—591no—
961#550—591no—
962#550—591no—
963#548—591no—
964#548—591no—
965#546—591no—
966#546—1181no—
967#546C2×D5911yescharacteristic
968D42—591no—
969D42—591no—
970D42—591no—
971D42—1181no—
972#542—591no—
973#542—1181no—
974#540—591no—
975#540—591no—
976#540—591no—
977#540—1181no—
978#540—1181no—
979#535—591no—
980#535—591no—
981#535—1181no—
982#534—1181no—
983#534—1181no—
984C2×#127—591no—
985#529—591no—
986#529—591no—
987#529—591no—
988#529—1181no—
989#529—1181no—
990#520—591no—
991#519—591no—
992C4×#41—591no—
993#496—591no—
994#496—591no—
995#496—591no—
996#496—591no—
997#495—591no—
998#493—591no—
999#490—591no—
1000#490—591no—
1001#490—591no—
1002#489C2×D5911yescharacteristic, complemented
1003#488—591no—
1004#486—591no—
1005#485C2×D5911yescharacteristic, complemented
1006#482—591no—
1007#482—591no—
1008#482C2×D5911yescharacteristic, complemented
1009#481—591no—
1010#480—591no—
1011#479—591no—
1012#479—591no—
1013#479—591no—
1014#478—591no—
1015#478—591no—
1016#478—591no—
1017#478—591no—
1018#478—591no—
1019#476—591no—
1020#474C2×D5911yescharacteristic, complemented
1021#470—591no—
1022#469—591no—
1023#469—591no—
1024#469—591no—
1025#469—591no—
1026#468—591no—
1027#468—591no—
1028#468C2×D5911yescharacteristic, complemented
1029#466—591no—
1030#466—591no—
1031#466C2×D5911yescharacteristic, complemented
1032#465—591no—
1033#464—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464—591no—
1038#464—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463C2×D5911yescharacteristic, complemented
1045#460—591no—
1046#460—591no—
1047#460—591no—
1048#460—591no—
1049#460—591no—
1050#460—591no—
1051#460—591no—
1052#460—591no—
1053#460—591no—
1054#459—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459—591no—
1062#459—591no—
1063#452—591no—
1064#452—591no—
1065#450—591no—
1066#450—591no—
1067#450—591no—
1068#449—591no—
1069#449—591no—
1070#449—591no—
1071#449—591no—
1072#449—591no—
1073#449C2×D5911yescharacteristic, complemented
1074#448—591no—
1075#448—591no—
1076#447—591no—
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#447C2×D5911yescharacteristic, complemented
1081#446—591no—
1082#446—591no—
1083#442—591no—
1084#442C2×D5911yescharacteristic, complemented
1085#441—591no—
1086#440—591no—
1087#440—591no—
1088#440—591no—
1089#440—591no—
1090#440—591no—
1091C4×SD16—591no—
1092C4×SD16—591no—
1093C4×SD16—591no—
1094C4×D8—591no—
1095#436—591no—
1096#436—591no—
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#435C2×D5911yescharacteristic, complemented
1101#433—591no—
1102#433—591no—
1103#432—591no—
1104#424—591no—
1105#424—591no—
1106#423—591no—
1107#418—591no—
1108#418—591no—
1109#418C2×D5911yescharacteristic, complemented
1110#417—591no—
1111#416C2×D5911yescharacteristic, complemented
1112C2×#102—591no—
1113C59#6208111yescharacteristic, complemented, Sylow
1114C2×#41—591no—
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—1181no—
1118C2×#41C22×D5911yescharacteristic
1119C22×Q8—591no—
1120C22×D4—591no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—1181no—
1124C22×D4—1181no—
1125C22×D4—1181no—
1126C22×D4—1181no—
1127C22×D4—1181no—
1128C22×D4C22×D5911yescharacteristic
1129#137—2362no—
1130AGL(1,ℤ/8)—2362no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133#135—2362no—
1134C2×Q16—591no—
1135C2×Q16—591no—
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16—591no—
1145C2×SD16—591no—
1146C2×SD16—591no—
1147C2×SD16—2362no—
1148C2×SD16C22×D5911yescharacteristic
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—591no—
1157C2×D8C22×D5911yescharacteristic
1158C2×D8C22×D5911yescharacteristic
1159C2×M16—591no—
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16C22×D5911yescharacteristic
1163C22×C8—591no—
1164C22×C8C22×D5911yescharacteristic
1165C4⋊Q8—1181no—
1166C4⋊Q8C22×D5911yescharacteristic
1167#127—591no—
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—591no—
1173#127—591no—
1174#127—1181no—
1175#127—1181no—
1176#127—1181no—
1177#127—1181no—
1178#126—591no—
1179#126—591no—
1180#126—1181no—
1181#126—1181no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#125—591no—
1186#125—591no—
1187#125—591no—
1188#125—591no—
1189#125—1181no—
1190#125—1181no—
1191#125—1181no—
1192#124—21no—
1193#124—21no—
1194#124—591no—
1195#124—591no—
1196#124—591no—
1197#124—591no—
1198#124—591no—
1199#124—1181no—
1200#124—1181no—
1201#124—1181no—
1202#124—1181no—
1203#124—1181no—
1204#124C22×D5911yescharacteristic
1205#123—21no—
1206#123—591no—
1207#123—591no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8C22×D5911yescharacteristic
1231#121—21no—
1232#121—21no—
1233#121—591no—
1234#121—591no—
1235#121—591no—
1236#121—591no—
1237#121—591no—
1238#121—591no—
1239#121—591no—
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#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121C22×D5911yescharacteristic
1265#121C22×D5911yescharacteristic
1266#121C22×D5911yescharacteristic
1267#120—21no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279C4×Q8—591no—
1280C4×Q8—591no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—591no—
1284C4×Q8—591no—
1285C4×Q8—591no—
1286C4×Q8—591no—
1287C4×Q8—1181no—
1288C4×Q8—1181no—
1289C4×Q8—1181no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4—1181no—
1311C4×D4—1181no—
1312C4×D4C22×D5911yescharacteristic
1313C4×D4C22×D5911yescharacteristic
1314C4×D4C22×D5911yescharacteristic
1315#117—21no—
1316#117—591no—
1317#117—591no—
1318#117—1181no—
1319#117—1181no—
1320#117—1181no—
1321#117—1181no—
1322#117—1181no—
1323#117—1181no—
1324#117—1181no—
1325#117C22×D5911yescharacteristic
1326#117C22×D5911yescharacteristic
1327C2×C4⋊C4—591no—
1328C2×C4⋊C4—1181no—
1329C2×C22⋊C4—21no—
1330C2×C22⋊C4—1181no—
1331C2×C42—591no—
1332C2×C42—1181no—
1333#107—591no—
1334#107—591no—
1335#107C22×D5911yescharacteristic
1336#107C22×D5911yescharacteristic
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106C22×D5911yescharacteristic
1341C4⋊C8—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8—591no—
1349C4⋊C8—591no—
1350C4⋊C8C22×D5911yescharacteristic
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103C22×D5911yescharacteristic
1357#103C22×D5911yescharacteristic
1358#103C22×D5911yescharacteristic
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102C22×D5911yescharacteristic
1377#102C22×D5911yescharacteristic
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382#102C22×D5911yescharacteristic
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8C22×D5911yescharacteristic
1388C22⋊C8C22×D5911yescharacteristic
1389#97—591no—
1390#97—591no—
1391#97—591no—
1392#97C22×D5911yescharacteristic
1393C4×C8—591no—
1394C4×C8—591no—
1395C24—21no—
1396C24—1181no—
1397C24—1181no—
1398C24—1181no—
1399#41—41no—
1400#41—41no—
1401#41—1182no—
1402#41—1182no—
1403#41—4722no—
1404#41—2361no—
1405#41—2361no—
1406#41—2361no—
1407#41—2361no—
1408C2×Q8—21no—
1409C2×Q8—591no—
1410C2×Q8—591no—
1411C2×Q8—591no—
1412C2×Q8—1182no—
1413C2×Q8—1181no—
1414C2×Q8—2361no—
1415C2×Q8C23×D5911yescharacteristic
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—41no—
1422C2×D4—41no—
1423C2×D4—591no—
1424C2×D4—591no—
1425C2×D4—591no—
1426C2×D4—591no—
1427C2×D4—591no—
1428C2×D4—591no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—4722no—
1456C2×D4—4722no—
1457C2×D4—4722no—
1458C2×D4—4722no—
1459C2×D4—4722no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4—2361no—
1465C2×D4—2361no—
1466C2×D4D4×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C2×D4C23×D5911yescharacteristic
1469C2×D4C23×D5911yescharacteristic
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—591no—
1474C22×C4—591no—
1475C22×C4—591no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4C23×D5911yescharacteristic
1489C22×C4C23×D5911yescharacteristic
1490Q16—1182no—
1491Q16—2361no—
1492SD16—41no—
1493SD16—1182no—
1494SD16—1182no—
1495SD16—1182no—
1496SD16—1182no—
1497SD16—1182no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502SD16—2361no—
1503SD16—2361no—
1504D8—41no—
1505D8—41no—
1506D8—2361no—
1507D8—2361no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513D8—2361no—
1514M16—41no—
1515M16—2361no—
1516M16—2361no—
1517M16—2361no—
1518C2×C8—41no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—591no—
1523C2×C8—2361no—
1524C2×C8C23×D5911yescharacteristic
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C2×C8C23×D5911yescharacteristic
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—591no—
1531C4⋊C4—591no—
1532C4⋊C4—591no—
1533C4⋊C4—591no—
1534C4⋊C4—591no—
1535C4⋊C4—591no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4D4×D5911yescharacteristic
1558C4⋊C4C23×D5911yescharacteristic
1559C4⋊C4C23×D5911yescharacteristic
1560C4⋊C4C23×D5911yescharacteristic
1561C4⋊C4C23×D5911yescharacteristic
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—591no—
1573C22⋊C4—591no—
1574C22⋊C4—591no—
1575C22⋊C4—591no—
1576C22⋊C4—591no—
1577C22⋊C4—591no—
1578C22⋊C4—591no—
1579C22⋊C4—591no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4D4×D5911yescharacteristic
1604C22⋊C4D4×D5911yescharacteristic
1605C42—21no—
1606C42—21no—
1607C42—591no—
1608C42—591no—
1609C42—591no—
1610C42—591no—
1611C42—591no—
1612C42—1181no—
1613C42—1181no—
1614C42—1181no—
1615C42—1181no—
1616C42—1181no—
1617C42—1181no—
1618C42—1181no—
1619C42C23×D5911yescharacteristic
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—42no—
1624C23—81no—
1625C23—81no—
1626C23—591no—
1627C23—1181no—
1628C23—1181no—
1629C23—1181no—
1630C23—1181no—
1631C23—4721no—
1632C23—4721no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23—2362no—
1640C23C2×D4×D5911yescharacteristic
1641C23C2×D4×D5911yescharacteristic
1642Q8—21no—
1643Q8—21no—
1644Q8—81no—
1645Q8—592no—
1646Q8—1181no—
1647Q8—1181no—
1648Q8—1181no—
1649Q8—2361no—
1650Q8—2362no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—41no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—1181no—
1664D4—1181no—
1665D4—1181no—
1666D4—1181no—
1667D4—1181no—
1668D4—1181no—
1669D4—1181no—
1670D4—1181no—
1671D4—4721no—
1672D4—4721no—
1673D4—4721no—
1674D4—4721no—
1675D4—4721no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—4721no—
1687D4—4721no—
1688D4—4721no—
1689D4—4721no—
1690D4—4721no—
1691D4—4721no—
1692D4—2361no—
1693D4—2361no—
1694D4—2362no—
1695D4—2362no—
1696D4—2362no—
1697D4—2362no—
1698D4—2362no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—81no—
1709C2×C4—81no—
1710C2×C4—81no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—591no—
1714C2×C4—591no—
1715C2×C4—591no—
1716C2×C4—591no—
1717C2×C4—591no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—4721no—
1732C2×C4—2362no—
1733C2×C4—2362no—
1734C2×C4—2361no—
1735C2×C4—2361no—
1736C2×C4—2362no—
1737C2×C4—2362no—
1738C2×C4C2×D4×D5911yescharacteristic
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C2×D4×D5911yescharacteristic
1742C2×C4C24×D5911yescharacteristic
1743C8—21no—
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—1181no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—21no—
1756C22—21no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—162no—
1767C22—1181no—
1768C22—1181no—
1769C22—1181no—
1770C22—9442no—
1771C22—9442no—
1772C22—9442no—
1773C22—2361no—
1774C22—2361no—
1775C22—2361no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22C22×D4×D5911yescharacteristic
1786C4—21no—
1787C4—21no—
1788C4—21no—
1789C4—21no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—1181no—
1796C4—1182no—
1797C4—1181no—
1798C4—1181no—
1799C4—1181no—
1800C4—1181no—
1801C4—1181no—
1802C4—1181no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4H(5,𝔽2)×D5911yescharacteristic
1807C4#1683823811yescharacteristic
1808C2—41no—
1809C2—41no—
1810C2—81no—
1811C2—81no—
1812C2—81no—
1813C2—4721no—
1814C2—4721no—
1815C2—4721no—
1816C2—4721no—
1817C2—2361no—
1818C2#2143775911yescharacteristic
1819C2#2143887111yescharacteristic
1820C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3319C2
socleC22×C59C23×D4
hypercenter#3319D59
hypocenterC59#62081
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #21438428C2semidirect
2. #21438196C2semidirect
3. #21437184C2semidirect
4. #21437139C2semidirect
5. #21436863C2semidirect
6. #21436824C2semidirect
7. #21436332C2semidirect
8. #21436310C2semidirect
9. #21436240C2semidirect
10. #21436118C2semidirect
11. #21436098C2semidirect
12. #21435723C2semidirect
13. #21435714C2semidirect
14. #21435679C2semidirect
15. #21435643C2semidirect
16. #21435596C2semidirect
17. #21435588C2semidirect
18. #21435530C2semidirect
19. #21435514C2semidirect
20. #21435493C2semidirect
21. #21435191C2semidirect
22. #21435144C2semidirect
23. #21435112C2semidirect
24. #21434383C2semidirect
25. #21434299C2semidirect
26. #21434208C2semidirect
27. #21433636C2semidirect
28. #21433620C2semidirect
29. #21433575C2semidirect
30. #21433267C2semidirect
31. C59×#3319C2semidirect
32. C2×#14273757C22semidirect
33. C2×#14273755C22semidirect
34. C2×#14273753C22semidirect
35. C2×#14273751C22semidirect
36. C2×#14273748C22semidirect
37. C22×#11745660C22semidirect
40. #16838135C22semidirect
43. #16838127C22semidirect
45. #16838096C22semidirect
47. #16838091C22semidirect
51. #16838070C22semidirect
52. #16838061C22semidirect
53. #16838058C22semidirect
60. #16838026C22semidirect
63. #16838005C22semidirect
74. #16837933C22semidirect
78. #16837881C22semidirect
79. #16837879C22semidirect
80. #16837870C22semidirect
81. #16837791C22semidirect
83. #16837790C22semidirect
84. #16837788C22semidirect
85. #16837784C22semidirect
86. #16837777C22semidirect
88. #16837765C22semidirect
89. #16837765C22semidirect
90. #16837758C22semidirect
91. #16837750C22semidirect
93. #16837726C22semidirect
94. #16837722C22semidirect
95. #16837714C22semidirect
96. #16837712C22semidirect
97. #16837711C22semidirect
98. #16837708C22semidirect
99. #16837705C22semidirect
100. #16837705C22semidirect
101. #16837705C22semidirect
102. #16837700C22semidirect
103. #16837700C22semidirect
104. #16837689C22semidirect
105. #16837658C22semidirect
106. #16837654C22semidirect
108. #16837653C22semidirect
109. #16837653C22semidirect
110. #16837649C22semidirect
112. #16837639C22semidirect
113. #16837638C22semidirect
114. #16837630C22semidirect
115. #16837627C22semidirect
116. #16837627C22semidirect
117. #16837627C22semidirect
118. #16837627C22semidirect
119. #16837622C22semidirect
120. #16837621C22semidirect
121. #16837620C22semidirect
122. #16837619C22semidirect
123. #16837618C22semidirect
124. #16837617C22semidirect
125. #16837616C22semidirect
126. #16837603C22semidirect
128. #16837601C22semidirect
129. #16837601C22semidirect
130. #16837601C22semidirect
131. #16837601C22semidirect
132. #16837601C22semidirect
133. #16837601C22semidirect
134. #16837601C22semidirect
135. #16837597C22semidirect
137. #16837596C22semidirect
138. #16837596C22semidirect
139. #16837596C22semidirect
140. #16837596C22semidirect
141. #16837595C22semidirect
142. #16837595C22semidirect
143. #16837595C22semidirect
144. #16837567C22semidirect
145. #16837562C22semidirect
146. #16837555C22semidirect
147. #16837554C22semidirect
148. #16837553C22semidirect
149. #16837550C22semidirect
151. #16837548C22semidirect
152. #16837547C22semidirect
153. #16837544C22semidirect
154. #16837543C22semidirect
155. #16837540C22semidirect
156. #16837538C22semidirect
157. #16837537C22semidirect
158. #16837535C22semidirect
159. #16837535C22semidirect
160. #16837530C22semidirect
161. #16837529C22semidirect
162. #16837513C22semidirect
163. #16837506C22semidirect
164. #16837505C22semidirect
165. #16837504C22semidirect
166. #16837501C22semidirect
167. #16837501C22semidirect
168. #16837499C22semidirect
169. #16837493C22semidirect
170. #16837489C22semidirect
171. C4×#11745670C22semidirect
172. C4×#11745669C22semidirect
173. #16837480C22semidirect
174. #16837477C22semidirect
175. #16837476C22semidirect
176. #16837473C22semidirect
177. #16837471C22semidirect
178. #16837464C22semidirect
179. #16837460C22semidirect
180. #16837456C22semidirect
181. #16837428C22semidirect
182. #16837427C22semidirect
183. #16837425C22semidirect
184. #16837406C22semidirect
185. #16837406C22semidirect
186. #16837402C22semidirect
187. #102×D59C22semidirect
188. C59×#555C22semidirect
190. C59×#489C22semidirect
191. C59×#485C22semidirect
192. C59×#482C22semidirect
193. C59×#474C22semidirect
194. C59×#468C22semidirect
195. C59×#466C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#447C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C59×#416C22semidirect
906. #3319D59semidirect
955. #555C2×D59semidirect
1002. #489C2×D59semidirect
1005. #485C2×D59semidirect
1008. #482C2×D59semidirect
1020. #474C2×D59semidirect
1028. #468C2×D59semidirect
1031. #466C2×D59semidirect
1044. #463C2×D59semidirect
1073. #449C2×D59semidirect
1080. #447C2×D59semidirect
1084. #442C2×D59semidirect
1100. #435C2×D59semidirect
1109. #418C2×D59semidirect
1111. #416C2×D59semidirect
1113. C59#62081semidirect

Maximal subgroups

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

subgroupindex
#214384282
#214381962
#214371842
#214371392
#214368632
#214368242
#214363322
#214363102
#214362402
#214361182
#214360982
#214357232
#214357142
#214356792
#214356432
#214355962
#214355882
#214355302
#214355142
#214354932
#214351912
#214351442
#214351122
#214343832
#214342992
#214342082
#214336362
#214336202
#214335752
#214332672
C59×#33192
#6208159