Finite Group Databasebeta

← #29482251

Subgroups — #29482251

Order 15104.

1902 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438611C211yesmaximal, characteristic, complemented
2#21438135C211yesmaximal, characteristic, complemented
3#21437163C211yesmaximal, characteristic, complemented
4#21437158C211yesmaximal, characteristic, complemented
5#21436889C211yesmaximal, characteristic, complemented
6#21436886C211yesmaximal, characteristic, complemented
7#21436212C211yesmaximal, characteristic, complemented
8#21436210C211yesmaximal, characteristic, complemented
9#21436060C211yesmaximal, characteristic, complemented
10#21436055C211yesmaximal, characteristic, complemented
11#21435922C211yesmaximal, characteristic, complemented
12#21435918C211yesmaximal, characteristic, complemented
13#21435805C211yesmaximal, characteristic, complemented
14#21435801C211yesmaximal, characteristic, complemented
15#21435624C211yesmaximal, characteristic, complemented
16#21435614C211yesmaximal, characteristic, complemented
17#21435579C211yesmaximal, characteristic, complemented
18#21435578C211yesmaximal, characteristic, complemented
19#21435565C211yesmaximal, characteristic, complemented
20#21435561C211yesmaximal, characteristic, complemented
21#21435411C211yesmaximal, characteristic, complemented
22#21435197C211yesmaximal, characteristic, complemented
23#21435192C211yesmaximal, characteristic, complemented
24#21435097C211yesmaximal, characteristic, complemented
25#21434378C211yesmaximal, characteristic, complemented
26#21434189C211yesmaximal, characteristic, complemented
27#21433636C211yesmaximal, characteristic, complemented
28#21433635C211yesmaximal, characteristic, complemented
29#463×D59C211yesmaximal, characteristic, complemented
30#21433230C211yesmaximal, characteristic, complemented
31C59×#3125C211yesmaximal, characteristic, complemented
32C2×#14273752C2211yescharacteristic, complemented
33C2×#14273751C2211yescharacteristic, complemented
34C2×#14273748C2211yescharacteristic, complemented
35C2×#14273747C2211yescharacteristic, complemented
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic
38#16838148—21no—
39#16838144—21no—
40#16838137C2211yescharacteristic, complemented
41#16838135C2211yescharacteristic, complemented
42#16838124C2211yescharacteristic, complemented
43#16838112C2211yescharacteristic, complemented
44#16838107C2211yescharacteristic, complemented
45#16838085—21no—
46#16838081—21no—
47#16838076—21no—
48D4×Dic118C2211yescharacteristic, complemented
49#16838064C2211yescharacteristic
50#16838062C2211yescharacteristic
51#16838061—21no—
52#16838053C2211yescharacteristic, complemented
53#16838051C2211yescharacteristic, complemented
54#16838049C2211yescharacteristic, complemented
55#16838047C2211yescharacteristic, complemented
56#16838045—21no—
57#16838043—21no—
58#16838043C2211yescharacteristic, complemented
59#16838040C2211yescharacteristic, complemented
60D4×D236C2211yescharacteristic
61#16838036C2211yescharacteristic
62#16838026C2211yescharacteristic, complemented
63#16838024C2211yescharacteristic, complemented
64#16838023C2211yescharacteristic, complemented
65#16837999—21no—
66#16837994—21no—
67#16837991—21no—
68#16837991—21no—
69#16837988—21no—
70#16837971C2211yescharacteristic, complemented
71#16837970C2211yescharacteristic, complemented
72#16837963—21no—
73#16837956C2211yescharacteristic, complemented
74#16837953C2211yescharacteristic
75#16837930C2211yescharacteristic
76#124×D59C2211yescharacteristic
77#16837911—21no—
78C2×#14273705—21no—
79#16837881C2211yescharacteristic, complemented
80C4×D4×D59C2211yescharacteristic, complemented
81#16837795C2211yescharacteristic, complemented
82#16837793C2211yescharacteristic, complemented
83#16837791C2211yescharacteristic
84#16837788C2211yescharacteristic
85#16837787C2211yescharacteristic, complemented
86#16837786C2211yescharacteristic, complemented
87#16837763C2211yescharacteristic, complemented
88#16837763C2211yescharacteristic, complemented
89#16837762C2211yescharacteristic, complemented
90#16837760C2211yescharacteristic, complemented
91#16837749C2211yescharacteristic, complemented
92#16837747C2211yescharacteristic, complemented
93#16837734C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837722C2211yescharacteristic, complemented
96#16837722C2211yescharacteristic, complemented
97#16837692C2211yescharacteristic, complemented
98#16837691C2211yescharacteristic, complemented
99#16837691C2211yescharacteristic, complemented
100#16837691C2211yescharacteristic, complemented
101#16837689C2211yescharacteristic, complemented
102#16837687C2211yescharacteristic, complemented
103#16837686C2211yescharacteristic, complemented
104#16837684C2211yescharacteristic, complemented
105#16837659C2211yescharacteristic, complemented
106#16837658C2211yescharacteristic, complemented
107#16837656C2211yescharacteristic
108#16837653C2211yescharacteristic
109#16837634C2211yescharacteristic, complemented
110#16837634C2211yescharacteristic, complemented
111#16837634C2211yescharacteristic, complemented
112#16837633C2211yescharacteristic, complemented
113#16837632C2211yescharacteristic, complemented
114#16837632C2211yescharacteristic, complemented
115#16837632C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837627C2211yescharacteristic, complemented
119#16837625C2211yescharacteristic, complemented
120#16837624C2211yescharacteristic, complemented
121#16837624C2211yescharacteristic, complemented
122#16837624C2211yescharacteristic, complemented
123#16837621C2211yescharacteristic, complemented
124#16837620C2211yescharacteristic, complemented
125#16837620C2211yescharacteristic, complemented
126#16837619C2211yescharacteristic, complemented
127#16837619C2211yescharacteristic, complemented
128#16837618C2211yescharacteristic, complemented
129#16837617C2211yescharacteristic, complemented
130#16837617C2211yescharacteristic, complemented
131#16837617C2211yescharacteristic, complemented
132#16837616C2211yescharacteristic, complemented
133#16837615C2211yescharacteristic, complemented
134#16837614C2211yescharacteristic, complemented
135#16837606C2211yescharacteristic, complemented
136#16837606C2211yescharacteristic, complemented
137#16837603C2211yescharacteristic, complemented
138#16837602C2211yescharacteristic, complemented
139#16837602C2211yescharacteristic, complemented
140#16837601C2211yescharacteristic, complemented
141#16837598C2211yescharacteristic, complemented
142#16837597C2211yescharacteristic
143#16837597C2211yescharacteristic, complemented
144#16837595C2211yescharacteristic
145#16837566C2211yescharacteristic, complemented
146#16837565C2211yescharacteristic, complemented
147#16837563C2211yescharacteristic, complemented
148#16837559C2211yescharacteristic, complemented
149#16837556C2211yescharacteristic, complemented
150#16837555C2211yescharacteristic, complemented
151#16837554C2211yescharacteristic
152#16837551C2211yescharacteristic
153#16837551C2211yescharacteristic, complemented
154#16837550C2211yescharacteristic, complemented
155#16837549C2211yescharacteristic, complemented
156#16837548C2211yescharacteristic
157#16837538C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic, complemented
159#16837537C2211yescharacteristic, complemented
160#16837537C2211yescharacteristic, complemented
161#16837532C2211yescharacteristic, complemented
162#16837530C2211yescharacteristic, complemented
163#16837513C2211yescharacteristic, complemented
164#16837513C2211yescharacteristic, complemented
165#16837511C2211yescharacteristic, complemented
166#16837511C2211yescharacteristic, complemented
167#16837511C2211yescharacteristic, complemented
168#16837508C2211yescharacteristic, complemented
169#16837493C2211yescharacteristic, complemented
170#16837489C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic, complemented
172#16837476C2211yescharacteristic, complemented
173#16837475C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175C8×D236C2211yescharacteristic, complemented
176(C22⋊D59)⋊C8C2211yescharacteristic, complemented
177#16837462C2211yescharacteristic, complemented
178#16837458C2211yescharacteristic, complemented
179#16837429C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181C4⋊C8×D59C2211yescharacteristic, complemented
182#16837402C2211yescharacteristic, complemented
183#16837401C2211yescharacteristic, complemented
184#103×D59C2211yescharacteristic, complemented
185C2×#14273647C2211yescharacteristic, complemented
186#102×D59C2211yescharacteristic
187#102×D59C2211yescharacteristic, complemented
188C59×#542C2211yescharacteristic, complemented
189C59×#520C2211yescharacteristic, complemented
190C59×#483C2211yescharacteristic, complemented
191C59×#481C2211yescharacteristic, complemented
192C59×#476C2211yescharacteristic, complemented
193C59×#475C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#452C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic
198C59×#442C2211yescharacteristic, complemented
199C59×#441C2211yescharacteristic, complemented
200C4×SD16×C59C2211yescharacteristic, complemented
201C4×SD16×C59C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C22×Dic118—21no—
209C2×Q8×D59C2311yescharacteristic
210C22×D236—21no—
211C22×D236C2311yescharacteristic
212C2×D4×D59—21no—
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215C2×D4×D59C2311yescharacteristic
216C22×C4×D59—21no—
217#14273752—42no—
218#14273751—42no—
219#14273748—42no—
220#14273747—42no—
221C2×Dic236C2311yescharacteristic
222C2×#11745672C2311yescharacteristic
223C2×#11745672C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234SD16×D59—42no—
235C2×D472C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242D8×D59—42no—
243C2×#11745664C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C22×C59⋊C8C2311yescharacteristic
246C2×C8×D59C2311yescharacteristic
247C2×C8×D59C2311yescharacteristic
248C2×C8×D59C2311yescharacteristic
249#14273727C2311yescharacteristic
250#14273726C2311yescharacteristic
251#14273726C2311yescharacteristic
252#14273725C2311yescharacteristic
253#14273724C2311yescharacteristic
254#14273724C2311yescharacteristic
255#14273723C2311yescharacteristic
256#14273722—21no—
257#14273722—21no—
258#14273722—21no—
259#14273722D411yescharacteristic
260#14273721—21no—
261#14273721—21no—
262#14273720D411yescharacteristic
263#14273719—21no—
264#14273717—21no—
265#14273717—21no—
266#14273717D411yescharacteristic
267#14273716—21no—
268#14273716—21no—
269#14273716C2311yescharacteristic
270#14273716C2311yescharacteristic
271#14273716C2311yescharacteristic
272#14273715—21no—
273#14273715—21no—
274#14273715—21no—
275#14273715C2311yescharacteristic
276#14273715C2311yescharacteristic
277#14273715C2311yescharacteristic
278#14273714C2311yescharacteristic
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273713D411yescharacteristic
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712D411yescharacteristic
292#14273711—21no—
293#14273710—21no—
294#14273710—21no—
295#14273710—21no—
296#14273710—21no—
297#14273709—21no—
298#14273709—21no—
299#14273709—21no—
300#14273709D411yescharacteristic
301#14273708—21no—
302#14273707—21no—
303#14273707C2311yescharacteristic
304#14273707C2311yescharacteristic
305#14273706—21no—
306#14273706—21no—
307#14273706C2311yescharacteristic
308#14273705—21no—
309#14273705—21no—
310#14273705—21no—
311#14273705—21no—
312#14273705—21no—
313#14273705—21no—
314#14273705—21no—
315#14273705—21no—
316#14273705—21no—
317#14273705D411yescharacteristic
318#14273704—21no—
319#14273704—21no—
320#14273703—21no—
321#14273703C2311yescharacteristic
322#14273703C2311yescharacteristic
323#14273702—21no—
324#14273702—21no—
325#14273702—21no—
326#14273702—21no—
327#14273702—21no—
328#14273702C2311yescharacteristic
329#14273702C2311yescharacteristic
330#14273702C2311yescharacteristic
331#14273702C2311yescharacteristic
332#14273701—21no—
333#14273701—21no—
334#14273701C2311yescharacteristic
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273700D411yescharacteristic
340#14273699—21no—
341#14273699—21no—
342#14273698—21no—
343#14273697—21no—
344#14273697—21no—
345#14273697—21no—
346#14273697—21no—
347#14273697—21no—
348#14273697—21no—
349#14273697—21no—
350#14273697—21no—
351#14273697—21no—
352#14273695—21no—
353#14273695—21no—
354#14273695—21no—
355C4×Dic118—21no—
356C4×Dic118C2311yescharacteristic
357C4×Dic118C2311yescharacteristic
358#14273692C2311yescharacteristic
359#14273692C2311yescharacteristic
360C4×D236—21no—
361C4×D236—21no—
362C4×D236—21no—
363C4×D236C2311yescharacteristic
364C4×D236C2311yescharacteristic
365D4×Dic59C2311yescharacteristic
366D4×Dic59C2311yescharacteristic
367#14273689—21no—
368#14273689—21no—
369#14273689C2311yescharacteristic
370#14273689C2311yescharacteristic
371#14273689C2311yescharacteristic
372#14273689C2311yescharacteristic
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59—21no—
376C4×C22⋊D59—21no—
377C4×C22⋊D59C2311yescharacteristic
378C4×C22⋊D59C2311yescharacteristic
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381#14273684—21no—
382#14273684—21no—
383#14273684C2311yescharacteristic
384#14273683—21no—
385C2×Dic59⋊C4—21no—
386C2×Dic59⋊C4—21no—
387C4⋊C4×D59C2311yescharacteristic
388C4⋊C4×D59C2311yescharacteristic
389C2×(C2×D59)⋊C4—21no—
390C2×(C2×D59)⋊C4—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C22⋊C4×D59—21no—
396C42×D59C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
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#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
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
439#14273637C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442C2×Q16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C4⋊Q8×C59C2311yescharacteristic
447#126×C59—21no—
448#124×C59—21no—
449#124×C59C2311yescharacteristic
450#123×C59—21no—
451C22⋊Q8×C59—21no—
452C22⋊Q8×C59C2311yescharacteristic
453#121×C59C2311yescharacteristic
454C4×Q8×C59C2311yescharacteristic
455C4×Q8×C59C2311yescharacteristic
456C4×Q8×C59C2311yescharacteristic
457C4×D4×C59—21no—
458C4×D4×C59—21no—
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462#117×C59—21no—
463#117×C59C2311yescharacteristic
464C2×C4⋊C4×C59—21no—
465C2×C4⋊C4×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488#41×C59—22no—
489#41×C59—41no—
490C2×Q8×C59—21no—
491C2×Q8×C59C2411yescharacteristic
492C2×Q8×C59C2411yescharacteristic
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59C2411yescharacteristic
496C2×D4×C59C2411yescharacteristic
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59C2411yescharacteristic
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
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⋊D59C2×D411yescharacteristic
512C2×C22⋊D59C2×D411yescharacteristic
513C22×Dic59—21no—
514C22×Dic59—21no—
515C22×Dic59—21no—
516#11745689—41no—
517#11745689—41no—
518#11745689—82no—
519Q8×D59—41no—
520Q8×D59—41no—
521#11745687—22no—
522#11745687—41no—
523D4×D59—22no—
524D4×D59—41no—
525D4×D59—41no—
526D4×D59—41no—
527D4×D59—41no—
528D4×D59—41no—
529D4×D59—82no—
530#11745685—41no—
531#11745685—41no—
532#11745685—82no—
533C2×D236—21no—
534C2×D236—21no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236—41no—
544C2×D236—41no—
545C2×D236—82no—
546C2×D236C2×D411yescharacteristic
547C2×D236C2411yescharacteristic
548C2×D236C2411yescharacteristic
549C2×D236C2411yescharacteristic
550C2×D236C2411yescharacteristic
551C2×C4×D59—21no—
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×D59—82no—
562C2×C4×D59C2×D411yescharacteristic
563C2×C4×D59C2×D411yescharacteristic
564C2×C4×D59C2411yescharacteristic
565C2×C4×D59C2411yescharacteristic
566C2×Dic118—21no—
567C2×Dic118—21no—
568C2×Dic118—21no—
569C2×Dic118—21no—
570C2×Dic118—82no—
571C2×Dic118C2×D411yescharacteristic
572C2×Dic118C2411yescharacteristic
573C2×Dic118C2411yescharacteristic
574Q16×C59—41no—
575SD16×C59—22no—
576SD16×C59—41no—
577D8×C59—22no—
578C2×C8×C59C2411yescharacteristic
579C2×C8×C59C2411yescharacteristic
580C2×C8×C59C2411yescharacteristic
581C2×C8×C59C2411yescharacteristic
582C4⋊C4×C59—21no—
583C4⋊C4×C59—21no—
584C4⋊C4×C59—21no—
585C4⋊C4×C59—21no—
586C4⋊C4×C59—21no—
587C4⋊C4×C59—21no—
588C4⋊C4×C59C2×D411yescharacteristic
589C4⋊C4×C59C2×D411yescharacteristic
590C4⋊C4×C59C2411yescharacteristic
591C4⋊C4×C59C2411yescharacteristic
592C4⋊C4×C59C2411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C22⋊C4×C59—21no—
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×C59C2×D411yescharacteristic
602C22⋊C4×C59C2×D411yescharacteristic
603C42×C59—21no—
604C42×C59—21no—
605C42×C59—21no—
606C42×C59C2411yescharacteristic
607C42×C59C2411yescharacteristic
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59C2×D411yescharacteristic
614C22⋊Dic59C2×D411yescharacteristic
615#11745672—41no—
616#11745672—41no—
617#11745671—41no—
618#11745671—41no—
619#11745671—41no—
620#11745671—41no—
621#11745670—22no—
622#11745670—41no—
623#11745669—22no—
624#11745669—22no—
625#11745669—22no—
626#11745669—41no—
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)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59C2×D411yescharacteristic
663C4⋊Dic59C2×D411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C4×Dic59C2411yescharacteristic
691#11745664—41no—
692C2×C59⋊C8—41no—
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697Dic236—41no—
698D472—41no—
699D472—41no—
700D472—41no—
701#11745660—41no—
702#11745660—41no—
703#11745660—41no—
704#11745660—41no—
705#11745659—41no—
706C8×D59—41no—
707C8×D59—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59C22×D411yescharacteristic
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—42no—
717C22×D59—42no—
718C22×D59—42no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59C22×D411yescharacteristic
729C22×D59C22×D411yescharacteristic
730Q8×C59—21no—
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—21no—
734Q8×C59—81no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—42no—
739D4×C59—81no—
740D4×C59H(5,𝔽2)12yes—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—42no—
750C2×C4×C59—81no—
751C2×C4×C59—81no—
752C2×C4×C59—81no—
753C2×C4×C59—81no—
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C2511yescharacteristic
760C22⋊D59—22no—
761C22⋊D59—41no—
762C22⋊D59—42no—
763C22⋊D59—42no—
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—42no—
775C2×Dic59—42no—
776C2×Dic59—81no—
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783D236—22no—
784D236—21no—
785D236—21no—
786D236—21no—
787D236—21no—
788D236—21no—
789D236—21no—
790D236—21no—
791D236—21no—
792D236—42no—
793D236—42no—
794D236—81no—
795D236—81no—
796D236—81no—
797D236—81no—
798D236—81no—
799D236—81no—
800D236—81no—
801D236—81no—
802C4×D59—22no—
803C4×D59—21no—
804C4×D59—21no—
805C4×D59—21no—
806C4×D59—21no—
807C4×D59—41no—
808C4×D59—42no—
809C4×D59—81no—
810C4×D59—81no—
811C4×D59—81no—
812C4×D59—81no—
813C4×D59—81no—
814C4×D59—81no—
815C4×D59—81no—
816C4×D59—81no—
817C4×D59—81no—
818Dic118—21no—
819Dic118—21no—
820Dic118—21no—
821Dic118—21no—
822Dic118—41no—
823Dic118—42no—
824Dic118—81no—
825Dic118—81no—
826Dic118—81no—
827C8×C59—21no—
828C8×C59—21no—
829C8×C59—21no—
830C8×C59—21no—
831C59⋊C8—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835#62018—591nomaximal, Sylow
836C22×C59—21no—
837C22×C59—22no—
838C22×C59—21no—
839C22×C59—21no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59C23×D411yescharacteristic
846C2×D59—21no—
847C2×D59—21no—
848C2×D59—21no—
849C2×D59—21no—
850C2×D59—21no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—84no—
864C2×D59—162no—
865C2×D59—162no—
866C2×D59—162no—
867C2×D59#57712yes—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—21no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878C4×C59—41no—
879C4×C59C2×H(5,𝔽2)11yescharacteristic
880C4×C59#58511yescharacteristic
881Dic59—21no—
882Dic59—21no—
883Dic59—21no—
884Dic59—21no—
885Dic59—21no—
886Dic59—21no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891#3558—591no—
892#3520—591no—
893#3401—591no—
894#3401—591no—
895#3373—591no—
896#3373—591no—
897#3316—591no—
898#3316—591no—
899#3306—591no—
900#3306—591no—
901#3295—591no—
902#3295—591no—
903#3282—591no—
904#3282—591no—
905#3267—591no—
906#3267—591no—
907#3264—591no—
908#3264—591no—
909#3263—591no—
910#3263—591no—
911#3246—591no—
912#3224—591no—
913#3224—591no—
914#3215—591no—
915#3125—591no—
916#3125D5911yescharacteristic, complemented
917#3109—591no—
918#3045—591no—
919#3045—591no—
920C2×#463—591no—
921#2992—591no—
922C2×C59—42no—
923C2×C59—41no—
924C2×C59—81no—
925C2×C59#348811yescharacteristic
926C2×C59C2×#57711yescharacteristic
927C2×C59#358511yescharacteristic
928D59—22no—
929D59—41no—
930D59—81no—
931D59—81no—
932D59—81no—
933D59—81no—
934C2×AGL(1,ℤ/8)—591no—
935C2×AGL(1,ℤ/8)—591no—
936C2×#135—591no—
937C2×#135—591no—
938C22×SD16—591no—
939C22×D8—591no—
940#562—1181no—
941H(3,𝔽4)—1181no—
942#559—591no—
943#559—591no—
944#556—591no—
945#554—591no—
946#554—591no—
947#552—1181no—
948#551—1181no—
949#551—1181no—
950D4×Q8—591no—
951#548—591no—
952#548—591no—
953#548—1181no—
954#547—591no—
955#547—591no—
956#546—591no—
957#546—591no—
958#546—591no—
959#546—591no—
960#546—1181no—
961#546—1181no—
962D42—591no—
963D42—591no—
964#542—591no—
965#542—591no—
966#542—591no—
967#542C2×D5911yescharacteristic, complemented
968#539—1181no—
969#539—1181no—
970#538—1181no—
971#538—1181no—
972#538—1181no—
973#535—591no—
974#535—591no—
975#534—1181no—
976#533—591no—
977#532—591no—
978#529—591no—
979C2×#124—591no—
980#525—1181no—
981C2×C22⋊Q8—1181no—
982#520—591no—
983#520C2×D5911yescharacteristic, complemented
984C2×C4×D4—591no—
985#497—591no—
986#497—591no—
987#496—591no—
988#496—591no—
989#495—591no—
990#495—591no—
991#489—591no—
992#489—591no—
993#489—591no—
994#489—591no—
995#486—591no—
996#486—591no—
997#483—591no—
998#483C2×D5911yescharacteristic, complemented
999#481—591no—
1000#481—591no—
1001#481—591no—
1002#481C2×D5911yescharacteristic, complemented
1003#476—591no—
1004#476—591no—
1005#476—591no—
1006#476—591no—
1007#476—591no—
1008#476C2×D5911yescharacteristic, complemented
1009#475—591no—
1010#475—591no—
1011#475—591no—
1012#475C2×D5911yescharacteristic, complemented
1013#470—591no—
1014#470—591no—
1015#469—591no—
1016#469—591no—
1017#465—591no—
1018#465—591no—
1019#465—591no—
1020#465—591no—
1021#465—591no—
1022#465—591no—
1023#465—591no—
1024#465—591no—
1025#464—591no—
1026#464—591no—
1027#464—591no—
1028#464—591no—
1029#464—591no—
1030#464—591no—
1031#464—591no—
1032#464C2×D5911yescharacteristic, complemented
1033#463—591no—
1034#463—591no—
1035#463—591no—
1036#463—591no—
1037#463—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463C2×D5911yescharacteristic, complemented
1045#461—591no—
1046#461—591no—
1047#460—591no—
1048#460—591no—
1049#460—591no—
1050#460—591no—
1051#459—591no—
1052#459—591no—
1053#459—591no—
1054#459—591no—
1055#452—591no—
1056#452—591no—
1057#452—591no—
1058#452C2×D5911yescharacteristic, complemented
1059#451—591no—
1060#451—591no—
1061#450—591no—
1062#450—591no—
1063#450—591no—
1064#450—591no—
1065#449—591no—
1066#449—591no—
1067#449—591no—
1068#449C2×D5911yescharacteristic
1069#447—591no—
1070#447—591no—
1071#447—591no—
1072#447—591no—
1073#446—591no—
1074#446—591no—
1075#442—591no—
1076#442—591no—
1077#442—591no—
1078#442—591no—
1079#442—591no—
1080#442C2×D5911yescharacteristic, complemented
1081#441—591no—
1082#441C2×D5911yescharacteristic, complemented
1083C4×SD16—591no—
1084C4×SD16—591no—
1085C4×SD16C2×D5911yescharacteristic, complemented
1086C4×SD16C2×D5911yescharacteristic, complemented
1087#435—591no—
1088#435—591no—
1089#435—591no—
1090#435—591no—
1091C8×D4—591no—
1092C8×D4—591no—
1093#433—591no—
1094#433C2×D5911yescharacteristic, complemented
1095#432—591no—
1096#424—591no—
1097#424—591no—
1098C2×C4⋊C8—591no—
1099#417—591no—
1100#417—591no—
1101C2×#103—591no—
1102C2×#102—591no—
1103C2×#102—591no—
1104C2×#102—591no—
1105C59#6201811yescharacteristic, complemented, Sylow
1106C2×#41—591no—
1107C2×#41—591no—
1108C2×#41—591no—
1109C2×#41—1181no—
1110C2×#41—1181no—
1111C2×#41C22×D5911yescharacteristic
1112C22×Q8—591no—
1113C22×Q8—1181no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—591no—
1117C22×D4—591no—
1118C22×D4—1181no—
1119C22×D4—1181no—
1120C23×C4—1181no—
1121AGL(1,ℤ/8)—2362no—
1122AGL(1,ℤ/8)—2362no—
1123#135—2362no—
1124#135—2362no—
1125C2×Q16—591no—
1126C2×Q16—591no—
1127C2×Q16—591no—
1128C2×Q16C22×D5911yescharacteristic
1129C2×SD16—591no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—591no—
1134C2×SD16—591no—
1135C2×SD16—591no—
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—2362no—
1140C2×SD16C22×D5911yescharacteristic
1141C2×SD16C22×D5911yescharacteristic
1142C2×D8—591no—
1143C2×D8—591no—
1144C2×D8—591no—
1145C2×D8—591no—
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8—591no—
1149C2×D8—2362no—
1150C2×D8C22×D5911yescharacteristic
1151C2×M16—591no—
1152C2×M16—591no—
1153C22×C8—591no—
1154C22×C8—591no—
1155C22×C8—591no—
1156C22×C8—591no—
1157C4⋊Q8—591no—
1158C4⋊Q8—591no—
1159C4⋊Q8—591no—
1160C4⋊Q8—591no—
1161C4⋊Q8C22×D5911yescharacteristic
1162#127—591no—
1163#127—591no—
1164#127—591no—
1165#126—21no—
1166#126—591no—
1167#126—591no—
1168#126—1181no—
1169#126—1181no—
1170#126—1181no—
1171#126—1181no—
1172#126—1181no—
1173#125—591no—
1174#125—1181no—
1175#125—1181no—
1176#125—1181no—
1177#124—21no—
1178#124—591no—
1179#124—591no—
1180#124—591no—
1181#124—591no—
1182#124—591no—
1183#124—591no—
1184#124—591no—
1185#124—591no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124—1181no—
1192#124—1181no—
1193#124—1181no—
1194#124—1181no—
1195#124—1181no—
1196#124C22×D5911yescharacteristic
1197#123—21no—
1198#123—591no—
1199#123—591no—
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—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215C22⋊Q8—21no—
1216C22⋊Q8—591no—
1217C22⋊Q8—591no—
1218C22⋊Q8—591no—
1219C22⋊Q8—591no—
1220C22⋊Q8—591no—
1221C22⋊Q8—591no—
1222C22⋊Q8—1181no—
1223C22⋊Q8—1181no—
1224C22⋊Q8—1181no—
1225C22⋊Q8—1181no—
1226C22⋊Q8—1181no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8—1181no—
1236C22⋊Q8—1181no—
1237C22⋊Q8C22×D5911yescharacteristic
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—591no—
1242#121—591no—
1243#121—591no—
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#121C22×D5911yescharacteristic
1259#120—1181no—
1260#120—1181no—
1261#120—1181no—
1262#120—1181no—
1263#120—1181no—
1264#120—1181no—
1265#120—1181no—
1266#120—1181no—
1267#120—1181no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271C4×Q8—591no—
1272C4×Q8—591no—
1273C4×Q8—591no—
1274C4×Q8—591no—
1275C4×Q8—1181no—
1276C4×Q8C22×D5911yescharacteristic
1277C4×Q8C22×D5911yescharacteristic
1278C4×Q8C22×D5911yescharacteristic
1279C4×D4—21no—
1280C4×D4—21no—
1281C4×D4—591no—
1282C4×D4—591no—
1283C4×D4—591no—
1284C4×D4—591no—
1285C4×D4—591no—
1286C4×D4—591no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4C22×D5911yescharacteristic
1303C4×D4C22×D5911yescharacteristic
1304C4×D4C22×D5911yescharacteristic
1305#117—21no—
1306#117—591no—
1307#117—1181no—
1308#117—1181no—
1309#117—1181no—
1310#117C22×D5911yescharacteristic
1311C2×C4⋊C4—21no—
1312C2×C4⋊C4—591no—
1313C2×C4⋊C4—591no—
1314C2×C4⋊C4—1181no—
1315C2×C4⋊C4—1181no—
1316C2×C4⋊C4C22×D5911yescharacteristic
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C22⋊C4—1181no—
1322C2×C22⋊C4—1181no—
1323C2×C22⋊C4—1181no—
1324C2×C42—591no—
1325#106—591no—
1326#106—591no—
1327#106—591no—
1328#106—591no—
1329#106C22×D5911yescharacteristic
1330#106C22×D5911yescharacteristic
1331#106C22×D5911yescharacteristic
1332#106C22×D5911yescharacteristic
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8—591no—
1340C4⋊C8—591no—
1341C4⋊C8C22×D5911yescharacteristic
1342C4⋊C8C22×D5911yescharacteristic
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103C22×D5911yescharacteristic
1352#103C22×D5911yescharacteristic
1353#103C22×D5911yescharacteristic
1354#103C22×D5911yescharacteristic
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
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#102C22×D5911yescharacteristic
1372#102C22×D5911yescharacteristic
1373#102C22×D5911yescharacteristic
1374#102C22×D5911yescharacteristic
1375C22⋊C8—591no—
1376C22⋊C8—591no—
1377C22⋊C8—591no—
1378C22⋊C8—591no—
1379C22⋊C8C22×D5911yescharacteristic
1380C22⋊C8C22×D5911yescharacteristic
1381#97—591no—
1382#97—591no—
1383#97—591no—
1384#97C22×D5911yescharacteristic
1385C4×C8—591no—
1386C4×C8C22×D5911yescharacteristic
1387C24—1181no—
1388C24—1181no—
1389C24—1181no—
1390C24—1181no—
1391#41—22no—
1392#41—41no—
1393#41—1182no—
1394#41—4722no—
1395#41—4722no—
1396#41—2361no—
1397#41—2361no—
1398#41—2361no—
1399#41—2361no—
1400#41—2361no—
1401C2×Q8—21no—
1402C2×Q8—591no—
1403C2×Q8—591no—
1404C2×Q8—591no—
1405C2×Q8—1181no—
1406C2×Q8—1181no—
1407C2×Q8—1181no—
1408C2×Q8—1181no—
1409C2×Q8—4722no—
1410C2×Q8—2361no—
1411C2×Q8—2361no—
1412C2×Q8C23×D5911yescharacteristic
1413C2×Q8C23×D5911yescharacteristic
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—591no—
1417C2×D4—591no—
1418C2×D4—591no—
1419C2×D4—591no—
1420C2×D4—591no—
1421C2×D4—591no—
1422C2×D4—591no—
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—1181no—
1433C2×D4—1182no—
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—4722no—
1443C2×D4—4722no—
1444C2×D4—2361no—
1445C2×D4—2361no—
1446C2×D4—2361no—
1447C2×D4—2361no—
1448C2×D4—2361no—
1449C2×D4—2361no—
1450C2×D4—2361no—
1451C2×D4C23×D5911yescharacteristic
1452C2×D4C23×D5911yescharacteristic
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—591no—
1459C22×C4—591no—
1460C22×C4—591no—
1461C22×C4—591no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—1181no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—4722no—
1476C22×C4C23×D5911yescharacteristic
1477Q16—41no—
1478Q16—2361no—
1479Q16—2361no—
1480Q16—2361no—
1481SD16—22no—
1482SD16—41no—
1483SD16—1182no—
1484SD16—2361no—
1485SD16—2361no—
1486SD16—2361no—
1487SD16—2361no—
1488SD16—2361no—
1489SD16—2361no—
1490SD16—2361no—
1491SD16—2361no—
1492SD16—2361no—
1493D8—22no—
1494D8—1182no—
1495D8—1182no—
1496D8—1182no—
1497D8—2361no—
1498D8—2361no—
1499D8—2361no—
1500D8—2361no—
1501M16—2361no—
1502M16—2361no—
1503C2×C8—591no—
1504C2×C8—591no—
1505C2×C8—591no—
1506C2×C8—591no—
1507C2×C8—2361no—
1508C2×C8—2361no—
1509C2×C8—2361no—
1510C2×C8—2361no—
1511C2×C8C23×D5911yescharacteristic
1512C2×C8C23×D5911yescharacteristic
1513C2×C8C23×D5911yescharacteristic
1514C2×C8C23×D5911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—591no—
1522C4⋊C4—591no—
1523C4⋊C4—591no—
1524C4⋊C4—591no—
1525C4⋊C4—591no—
1526C4⋊C4—591no—
1527C4⋊C4—591no—
1528C4⋊C4—591no—
1529C4⋊C4—591no—
1530C4⋊C4—591no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4D4×D5911yescharacteristic
1547C4⋊C4D4×D5911yescharacteristic
1548C4⋊C4C23×D5911yescharacteristic
1549C4⋊C4C23×D5911yescharacteristic
1550C4⋊C4C23×D5911yescharacteristic
1551C4⋊C4C23×D5911yescharacteristic
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—591no—
1560C22⋊C4—591no—
1561C22⋊C4—591no—
1562C22⋊C4—591no—
1563C22⋊C4—591no—
1564C22⋊C4—591no—
1565C22⋊C4—591no—
1566C22⋊C4—591no—
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—
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⋊C4D4×D5911yescharacteristic
1599C22⋊C4D4×D5911yescharacteristic
1600C42—21no—
1601C42—21no—
1602C42—21no—
1603C42—591no—
1604C42—591no—
1605C42—591no—
1606C42—591no—
1607C42—1181no—
1608C42—1181no—
1609C42—1181no—
1610C42C23×D5911yescharacteristic
1611C42C23×D5911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—591no—
1615C23—591no—
1616C23—1181no—
1617C23—1181no—
1618C23—1181no—
1619C23—1181no—
1620C23—4721no—
1621C23—4721no—
1622C23—4721no—
1623C23—4721no—
1624C23—4721no—
1625C23—4721no—
1626C23—4721no—
1627C23—4721no—
1628C23—4721no—
1629C23—2362no—
1630C23—2362no—
1631C23—2362no—
1632C23C2×D4×D5911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—81no—
1638Q8—1181no—
1639Q8—1181no—
1640Q8—1181no—
1641Q8—1181no—
1642Q8—4721no—
1643Q8—4721no—
1644Q8—4721no—
1645Q8—2361no—
1646Q8—2362no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—42no—
1651D4—81no—
1652D4—1182no—
1653D4—1182no—
1654D4—1181no—
1655D4—1181no—
1656D4—1181no—
1657D4—1181no—
1658D4—1181no—
1659D4—1181no—
1660D4—1181no—
1661D4—1181no—
1662D4—4721no—
1663D4—4721no—
1664D4—4721no—
1665D4—4721no—
1666D4—4721no—
1667D4—4721no—
1668D4—4721no—
1669D4—4721no—
1670D4—4721no—
1671D4—4721no—
1672D4—4721no—
1673D4—4721no—
1674D4—4721no—
1675D4—4721no—
1676D4—2362no—
1677D4—2362no—
1678D4—2361no—
1679D4—2362no—
1680D4—2362no—
1681D4#1427377312yes—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—42no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4—81no—
1695C2×C4—591no—
1696C2×C4—591no—
1697C2×C4—591no—
1698C2×C4—591no—
1699C2×C4—591no—
1700C2×C4—591no—
1701C2×C4—1182no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—1181no—
1705C2×C4—1181no—
1706C2×C4—1181no—
1707C2×C4—1181no—
1708C2×C4—1181no—
1709C2×C4—1181no—
1710C2×C4—4721no—
1711C2×C4—4721no—
1712C2×C4—4721no—
1713C2×C4—4721no—
1714C2×C4—4721no—
1715C2×C4—4721no—
1716C2×C4—4721no—
1717C2×C4—4721no—
1718C2×C4—4721no—
1719C2×C4—4721no—
1720C2×C4—2361no—
1721C2×C4—2362no—
1722C2×C4—2362no—
1723C2×C4—2362no—
1724C2×C4C2×D4×D5911yescharacteristic
1725C2×C4C2×D4×D5911yescharacteristic
1726C2×C4C2×D4×D5911yescharacteristic
1727C2×C4C2×D4×D5911yescharacteristic
1728C2×C4C2×D4×D5911yescharacteristic
1729C2×C4C24×D5911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1181no—
1735C8—1181no—
1736C8—1181no—
1737C8—1181no—
1738C22—21no—
1739C22—22no—
1740C22—21no—
1741C22—21no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—592no—
1748C22—1181no—
1749C22—1181no—
1750C22—1181no—
1751C22—1181no—
1752C22—1181no—
1753C22—9442no—
1754C22—9442no—
1755C22—9442no—
1756C22—4724no—
1757C22—2361no—
1758C22—2361no—
1759C22—2361no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22—2361no—
1769C22C22×D4×D5911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—1181no—
1782C4—1181no—
1783C4—1181no—
1784C4—1181no—
1785C4—1181no—
1786C4—1181no—
1787C4—2361no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4C2×#1427377311yescharacteristic
1792C4#1683823811yescharacteristic
1793C2—41no—
1794C2—42no—
1795C2—81no—
1796C2—1182no—
1797C2—4721no—
1798C2—4721no—
1799C2—4721no—
1800C2—4721no—
1801C2—2361no—
1802C2#2143775711yescharacteristic
1803C2#577×D5911yescharacteristic
1804C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3125C2
socleC22×C59C23×D4
hypercenter#3125D59
hypocenterC59#62018
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3125

Complements

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

NH ≅ G/Ntype
1. #21438611C2semidirect
2. #21438135C2semidirect
3. #21437163C2semidirect
4. #21437158C2semidirect
5. #21436889C2semidirect
6. #21436886C2semidirect
7. #21436212C2semidirect
8. #21436210C2semidirect
9. #21436060C2semidirect
10. #21436055C2semidirect
11. #21435922C2semidirect
12. #21435918C2semidirect
13. #21435805C2semidirect
14. #21435801C2semidirect
15. #21435624C2semidirect
16. #21435614C2semidirect
17. #21435579C2semidirect
18. #21435578C2semidirect
19. #21435565C2semidirect
20. #21435561C2semidirect
21. #21435411C2semidirect
22. #21435197C2semidirect
23. #21435192C2semidirect
24. #21435097C2semidirect
25. #21434378C2semidirect
26. #21434189C2semidirect
27. #21433636C2semidirect
28. #21433635C2semidirect
29. #463×D59C2semidirect
30. #21433230C2semidirect
31. C59×#3125C2semidirect
32. C2×#14273752C22semidirect
33. C2×#14273751C22semidirect
34. C2×#14273748C22semidirect
35. C2×#14273747C22semidirect
36. C2×SD16×D59C22semidirect
40. #16838137C22semidirect
41. #16838135C22semidirect
42. #16838124C22semidirect
43. #16838112C22semidirect
44. #16838107C22semidirect
48. D4×Dic118C22semidirect
52. #16838053C22semidirect
53. #16838051C22semidirect
54. #16838049C22semidirect
55. #16838047C22semidirect
58. #16838043C22semidirect
59. #16838040C22semidirect
62. #16838026C22semidirect
63. #16838024C22semidirect
64. #16838023C22semidirect
70. #16837971C22semidirect
71. #16837970C22semidirect
73. #16837956C22semidirect
79. #16837881C22semidirect
80. C4×D4×D59C22semidirect
81. #16837795C22semidirect
82. #16837793C22semidirect
85. #16837787C22semidirect
86. #16837786C22semidirect
87. #16837763C22semidirect
88. #16837763C22semidirect
89. #16837762C22semidirect
90. #16837760C22semidirect
91. #16837749C22semidirect
92. #16837747C22semidirect
93. #16837734C22semidirect
94. #16837722C22semidirect
95. #16837722C22semidirect
96. #16837722C22semidirect
97. #16837692C22semidirect
98. #16837691C22semidirect
99. #16837691C22semidirect
100. #16837691C22semidirect
101. #16837689C22semidirect
102. #16837687C22semidirect
103. #16837686C22semidirect
104. #16837684C22semidirect
105. #16837659C22semidirect
106. #16837658C22semidirect
109. #16837634C22semidirect
110. #16837634C22semidirect
111. #16837634C22semidirect
112. #16837633C22semidirect
113. #16837632C22semidirect
114. #16837632C22semidirect
115. #16837632C22semidirect
116. #16837629C22semidirect
117. #16837627C22semidirect
118. #16837627C22semidirect
119. #16837625C22semidirect
120. #16837624C22semidirect
121. #16837624C22semidirect
122. #16837624C22semidirect
123. #16837621C22semidirect
124. #16837620C22semidirect
125. #16837620C22semidirect
126. #16837619C22semidirect
127. #16837619C22semidirect
128. #16837618C22semidirect
129. #16837617C22semidirect
130. #16837617C22semidirect
131. #16837617C22semidirect
132. #16837616C22semidirect
133. #16837615C22semidirect
134. #16837614C22semidirect
135. #16837606C22semidirect
136. #16837606C22semidirect
137. #16837603C22semidirect
138. #16837602C22semidirect
139. #16837602C22semidirect
140. #16837601C22semidirect
141. #16837598C22semidirect
143. #16837597C22semidirect
145. #16837566C22semidirect
146. #16837565C22semidirect
147. #16837563C22semidirect
148. #16837559C22semidirect
149. #16837556C22semidirect
150. #16837555C22semidirect
153. #16837551C22semidirect
154. #16837550C22semidirect
155. #16837549C22semidirect
157. #16837538C22semidirect
158. #16837537C22semidirect
159. #16837537C22semidirect
160. #16837537C22semidirect
161. #16837532C22semidirect
162. #16837530C22semidirect
163. #16837513C22semidirect
164. #16837513C22semidirect
165. #16837511C22semidirect
166. #16837511C22semidirect
167. #16837511C22semidirect
168. #16837508C22semidirect
169. #16837493C22semidirect
170. #16837489C22semidirect
171. #16837476C22semidirect
172. #16837476C22semidirect
173. #16837475C22semidirect
174. #16837470C22semidirect
175. C8×D236C22semidirect
176. (C22⋊D59)⋊C8C22semidirect
177. #16837462C22semidirect
178. #16837458C22semidirect
179. #16837429C22semidirect
180. #16837427C22semidirect
181. C4⋊C8×D59C22semidirect
182. #16837402C22semidirect
183. #16837401C22semidirect
184. #103×D59C22semidirect
185. C2×#14273647C22semidirect
187. #102×D59C22semidirect
188. C59×#542C22semidirect
189. C59×#520C22semidirect
190. C59×#483C22semidirect
191. C59×#481C22semidirect
192. C59×#476C22semidirect
193. C59×#475C22semidirect
194. C59×#464C22semidirect
195. C59×#463C22semidirect
196. C59×#452C22semidirect
198. C59×#442C22semidirect
199. C59×#441C22semidirect
200. C4×SD16×C59C22semidirect
201. C4×SD16×C59C22semidirect
202. C59×#433C22semidirect
916. #3125D59semidirect
967. #542C2×D59semidirect
983. #520C2×D59semidirect
998. #483C2×D59semidirect
1002. #481C2×D59semidirect
1008. #476C2×D59semidirect
1012. #475C2×D59semidirect
1032. #464C2×D59semidirect
1044. #463C2×D59semidirect
1058. #452C2×D59semidirect
1080. #442C2×D59semidirect
1082. #441C2×D59semidirect
1085. C4×SD16C2×D59semidirect
1086. C4×SD16C2×D59semidirect
1094. #433C2×D59semidirect
1105. C59#62018semidirect

Maximal subgroups

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

subgroupindex
#214386112
#214381352
#214371632
#214371582
#214368892
#214368862
#214362122
#214362102
#214360602
#214360552
#214359222
#214359182
#214358052
#214358012
#214356242
#214356142
#214355792
#214355782
#214355652
#214355612
#214354112
#214351972
#214351922
#214350972
#214343782
#214341892
#214336362
#214336352
#463×D592
#214332302
C59×#31252
#6201859