Finite Group Databasebeta

← #29475617

Subgroups — #29475617

Order 15104.

2160 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438497C211yesmaximal, characteristic, complemented
2#21437887C211yesmaximal, characteristic, complemented
3#21436283C211yesmaximal, characteristic, complemented
4#21436279C211yesmaximal, characteristic, complemented
5#21436278C211yesmaximal, characteristic, complemented
6#21436255C211yesmaximal, characteristic, complemented
7#21436251C211yesmaximal, characteristic, complemented
8#21436250C211yesmaximal, characteristic, complemented
9#21436246C211yesmaximal, characteristic, complemented
10#21435594C211yesmaximal, characteristic, complemented
11#21435593C211yesmaximal, characteristic, complemented
12#21435592C211yesmaximal, characteristic, complemented
13#21435584C211yesmaximal, characteristic, complemented
14#21435583C211yesmaximal, characteristic, complemented
15#21435582C211yesmaximal, characteristic, complemented
16#21435581C211yesmaximal, characteristic, complemented
17#21435573C211yesmaximal, characteristic, complemented
18#21435084C211yesmaximal, characteristic, complemented
19#21435081C211yesmaximal, characteristic, complemented
20#21434967C211yesmaximal, characteristic, complemented
21#21434962C211yesmaximal, characteristic, complemented
22#21434960C211yesmaximal, characteristic, complemented
23#21434958C211yesmaximal, characteristic, complemented
24#21434250C211yesmaximal, characteristic, complemented
25#21434245C211yesmaximal, characteristic, complemented
26#21433383C211yesmaximal, characteristic, complemented
27#21433377C211yesmaximal, characteristic, complemented
28#21433367C211yesmaximal, characteristic, complemented
29#21433361C211yesmaximal, characteristic, complemented
30#21433164C211yesmaximal, characteristic, complemented
31C59×#3321C211yesmaximal, characteristic, complemented
32C2×#14273775C2211yescharacteristic, complemented
33C2×#14273773C2211yescharacteristic, complemented
34C2×#14273755C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273754C2211yescharacteristic, complemented
37C2×#14273752C2211yescharacteristic, complemented
38C22×#11745671C2211yescharacteristic, complemented
39C2×SD16×D59C2211yescharacteristic, complemented
40C22×D472C2211yescharacteristic, complemented
41C2×D8×D59C2211yescharacteristic, complemented
42#16838144—21no—
43#16838144—21no—
44#16838118C2211yescharacteristic, complemented
45#16838115—21no—
46#16838115C2211yescharacteristic, complemented
47#16838115C2211yescharacteristic, complemented
48#16838064C2211yescharacteristic, complemented
49#16838063C2211yescharacteristic, complemented
50#16838059C2211yescharacteristic, complemented
51#16838049—21no—
52#16838049C2211yescharacteristic, complemented
53#16838048—21no—
54#16838048C2211yescharacteristic, complemented
55#16838045—21no—
56#16838045C2211yescharacteristic, complemented
57#16838043—21no—
58#16838043C2211yescharacteristic, complemented
59D4×D236C2211yescharacteristic, complemented
60D4×D236C2211yescharacteristic, complemented
61#16838036—21no—
62#16838036C2211yescharacteristic, complemented
63#16838036C2211yescharacteristic, complemented
64#16837975—21no—
65#16837975C2211yescharacteristic, complemented
66#16837971—21no—
67#16837971C2211yescharacteristic
68#16837971C2211yescharacteristic, complemented
69#16837970—21no—
70#16837970—21no—
71#16837968—21no—
72#16837968—21no—
73#16837968C2211yescharacteristic
74#16837968C2211yescharacteristic, complemented
75#16837968C2211yescharacteristic, complemented
76#16837953C2211yescharacteristic, complemented
77#16837949—21no—
78#16837949C2211yescharacteristic
79#16837949C2211yescharacteristic, complemented
80#124×D59—21no—
81#124×D59C2211yescharacteristic, complemented
82C4×#11745689C2211yescharacteristic, complemented
83#16837792C2211yescharacteristic, complemented
84#16837791C2211yescharacteristic, complemented
85#16837790C2211yescharacteristic, complemented
86#16837788C2211yescharacteristic, complemented
87#16837764C2211yescharacteristic, complemented
88#16837763C2211yescharacteristic, complemented
89#16837760C2211yescharacteristic, complemented
90#16837746C2211yescharacteristic, complemented
91#16837743C2211yescharacteristic, complemented
92#16837741C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837728C2211yescharacteristic, complemented
95#16837728C2211yescharacteristic, complemented
96#16837728C2211yescharacteristic, complemented
97#16837726C2211yescharacteristic, complemented
98#16837725C2211yescharacteristic, complemented
99#16837725C2211yescharacteristic, complemented
100#16837685C2211yescharacteristic, complemented
101#16837681C2211yescharacteristic, complemented
102#16837679C2211yescharacteristic, complemented
103#16837656C2211yescharacteristic, complemented
104#16837655C2211yescharacteristic, complemented
105#16837654C2211yescharacteristic, complemented
106#16837651C2211yescharacteristic, complemented
107#16837650C2211yescharacteristic, complemented
108#16837649C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837639C2211yescharacteristic, complemented
111#16837637C2211yescharacteristic, complemented
112#16837636C2211yescharacteristic, complemented
113#16837636C2211yescharacteristic, complemented
114#16837634C2211yescharacteristic, complemented
115#16837632C2211yescharacteristic, complemented
116#16837631C2211yescharacteristic, complemented
117#16837620C2211yescharacteristic, complemented
118#16837620C2211yescharacteristic, complemented
119#16837618C2211yescharacteristic, complemented
120#16837617C2211yescharacteristic, complemented
121#16837616C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic, complemented
123#16837614C2211yescharacteristic, complemented
124#16837602C2211yescharacteristic, complemented
125#16837600C2211yescharacteristic, complemented
126#16837598C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic, complemented
128#16837555C2211yescharacteristic, complemented
129#16837554C2211yescharacteristic, complemented
130#16837552C2211yescharacteristic, complemented
131#16837551C2211yescharacteristic, complemented
132#16837550C2211yescharacteristic, complemented
133#16837550C2211yescharacteristic, complemented
134#16837550C2211yescharacteristic, complemented
135#16837550C2211yescharacteristic, complemented
136#16837550C2211yescharacteristic, complemented
137#16837550C2211yescharacteristic, complemented
138#16837550C2211yescharacteristic, complemented
139#16837549C2211yescharacteristic, complemented
140#16837547C2211yescharacteristic, complemented
141#16837546C2211yescharacteristic, complemented
142#16837545C2211yescharacteristic, complemented
143#16837542C2211yescharacteristic, complemented
144#16837542C2211yescharacteristic, complemented
145#16837542C2211yescharacteristic, complemented
146#16837542C2211yescharacteristic, complemented
147#16837542C2211yescharacteristic, complemented
148#16837541C2211yescharacteristic, complemented
149#16837539C2211yescharacteristic, complemented
150#16837538C2211yescharacteristic, complemented
151#16837538C2211yescharacteristic, complemented
152#16837537C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837535C2211yescharacteristic, complemented
159#16837535C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic, complemented
161#16837534C2211yescharacteristic, complemented
162#16837515C2211yescharacteristic, complemented
163#16837513C2211yescharacteristic, complemented
164#16837513C2211yescharacteristic, complemented
165#16837512C2211yescharacteristic, complemented
166#16837505C2211yescharacteristic, complemented
167#16837505C2211yescharacteristic, complemented
168#16837500C2211yescharacteristic, complemented
169#16837476C2211yescharacteristic, complemented
170#16837475C2211yescharacteristic, complemented
171#16837474C2211yescharacteristic, complemented
172#16837473C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic, complemented
174#16837471C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837458C2211yescharacteristic, complemented
177#16837457C2211yescharacteristic, complemented
178#16837409C2211yescharacteristic, complemented
179#16837406C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837397C2211yescharacteristic, complemented
182#16837397C2211yescharacteristic, complemented
183#16837396C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837368C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C59×#555C2211yescharacteristic, complemented
189C59×#548C2211yescharacteristic, complemented
190C59×#489C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#475C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#419C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203#14273775—42no—
204#14273775—42no—
205#14273773—42no—
206#14273773—42no—
207C2×#11745689—21no—
208C2×#11745689—21no—
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745689C2311yescharacteristic
212C2×#11745685—21no—
213C2×#11745685—21no—
214C2×#11745685—21no—
215C2×#11745685—21no—
216C2×#11745685C2311yescharacteristic
217C2×#11745685C2311yescharacteristic
218C2×#11745685C2311yescharacteristic
219C2×Q8×D59—21no—
220C2×Q8×D59C2311yescharacteristic
221C2×Q8×D59C2311yescharacteristic
222C22×D236—21no—
223C22×D236—21no—
224C22×D236C2311yescharacteristic
225C22×D236C2311yescharacteristic
226C22×D236C2311yescharacteristic
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59—21no—
230C2×D4×D59—21no—
231C2×D4×D59—21no—
232C2×D4×D59C2311yescharacteristic
233C2×D4×D59C2311yescharacteristic
234C2×D4×D59C2311yescharacteristic
235C2×D4×D59C2311yescharacteristic
236#14273755—42no—
237#14273754—42no—
238#14273754—42no—
239#14273752—42no—
240C2×#11745660C2311yescharacteristic
241C2×#11745660C2311yescharacteristic
242C2×#11745660C2311yescharacteristic
243C2×#11745670C2311yescharacteristic
244C2×#11745671—42no—
245C2×#11745671C2311yescharacteristic
246C2×#11745671C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251SD16×D59—42no—
252C2×D472—42no—
253C2×D472C2311yescharacteristic
254C2×D472C2311yescharacteristic
255C2×D472C2311yescharacteristic
256C2×D472C2311yescharacteristic
257C2×D472C2311yescharacteristic
258C2×D472C2311yescharacteristic
259C2×#11745669C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262C2×#11745669C2311yescharacteristic
263C2×#11745669C2311yescharacteristic
264D8×D59—42no—
265C2×#11745664C2311yescharacteristic
266C2×#11745659C2311yescharacteristic
267C2×#11745659C2311yescharacteristic
268C22×C59⋊C8C2311yescharacteristic
269C2×C8×D59C2311yescharacteristic
270C2×C8×D59C2311yescharacteristic
271#14273726—21no—
272#14273726D411yescharacteristic
273#14273726C2311yescharacteristic
274#14273724—21no—
275#14273724—21no—
276#14273724C2311yescharacteristic
277#14273723—21no—
278#14273723—21no—
279#14273723—21no—
280#14273723D411yescharacteristic
281#14273723C2311yescharacteristic
282#14273716—21no—
283#14273716—21no—
284#14273716—21no—
285#14273716—21no—
286#14273716C2311yescharacteristic
287#14273715—21no—
288#14273715—21no—
289#14273715—21no—
290#14273715—21no—
291#14273715—21no—
292#14273715C2311yescharacteristic
293#14273714—21no—
294#14273714C2311yescharacteristic
295#14273713—21no—
296#14273713—21no—
297#14273713—21no—
298#14273713—21no—
299#14273713—21no—
300#14273713—21no—
301#14273713—21no—
302#14273713—21no—
303#14273713—21no—
304#14273713D411yescharacteristic
305#14273713D411yescharacteristic
306#14273712—21no—
307#14273712—21no—
308#14273712—21no—
309#14273709—21no—
310#14273709—21no—
311#14273709—21no—
312#14273707—21no—
313#14273707C2311yescharacteristic
314#14273706—21no—
315#14273706C2311yescharacteristic
316#14273703—21no—
317#14273703C2311yescharacteristic
318#14273702—21no—
319#14273702—21no—
320#14273702—21no—
321#14273702—21no—
322#14273702—21no—
323#14273702D411yescharacteristic
324#14273702C2311yescharacteristic
325#14273702C2311yescharacteristic
326#14273702C2311yescharacteristic
327#14273702C2311yescharacteristic
328#14273702C2311yescharacteristic
329#14273702C2311yescharacteristic
330#14273702C2311yescharacteristic
331#14273702C2311yescharacteristic
332#14273701—21no—
333#14273701—21no—
334#14273701C2311yescharacteristic
335#14273701C2311yescharacteristic
336#14273701C2311yescharacteristic
337#14273700—21no—
338#14273700—21no—
339#14273700—21no—
340#14273700—21no—
341#14273700—21no—
342#14273700—21no—
343#14273700—21no—
344#14273700D411yescharacteristic
345#14273700D411yescharacteristic
346#14273698—21no—
347#14273698—21no—
348#14273698D411yescharacteristic
349#14273698C2311yescharacteristic
350#14273698C2311yescharacteristic
351#14273697—21no—
352#14273697—21no—
353#14273697—21no—
354#14273697—21no—
355#14273697—21no—
356#14273697—21no—
357#14273697—21no—
358#14273697—21no—
359#14273697—21no—
360#14273697—21no—
361#14273697—21no—
362#14273697—21no—
363#14273697—21no—
364#14273697—21no—
365#14273697—21no—
366#14273695—21no—
367#14273695—21no—
368#14273695—21no—
369#14273695—21no—
370#14273695—21no—
371#14273695—21no—
372#14273695—21no—
373Q8×Dic59C2311yescharacteristic
374C4×D236—21no—
375C4×D236—21no—
376C4×D236C2311yescharacteristic
377C4×D236C2311yescharacteristic
378C4×D236C2311yescharacteristic
379#14273689—21no—
380#14273689—21no—
381#14273689C2311yescharacteristic
382#14273689C2311yescharacteristic
383#14273689C2311yescharacteristic
384C4×C22⋊D59—21no—
385C4×C22⋊D59—21no—
386C4×C22⋊D59—21no—
387C4×C22⋊D59C2311yescharacteristic
388C4×C22⋊D59C2311yescharacteristic
389#14273685—21no—
390#14273685—21no—
391#14273685C2311yescharacteristic
392#14273685C2311yescharacteristic
393#14273685C2311yescharacteristic
394#14273684—21no—
395#14273684—21no—
396C22⋊C4×D59—21no—
397C22⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59—21no—
401C22⋊C4×D59—21no—
402C42×D59—21no—
403C42×D59C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273660C2311yescharacteristic
406#14273660C2311yescharacteristic
407#14273659C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
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#14273647C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444#14273638C2311yescharacteristic
445#14273637C2311yescharacteristic
446#14273637C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C22×Q8×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454C4⋊Q8×C59C2311yescharacteristic
455#124×C59—21no—
456#124×C59—21no—
457#124×C59—21no—
458#124×C59C2311yescharacteristic
459C22⋊Q8×C59—21no—
460C22⋊Q8×C59C2311yescharacteristic
461#121×C59—21no—
462#121×C59—21no—
463#121×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466C4×Q8×C59C2311yescharacteristic
467C4×D4×C59—21no—
468C4×D4×C59C2311yescharacteristic
469C4×D4×C59C2311yescharacteristic
470#117×C59—21no—
471#117×C59C2311yescharacteristic
472#117×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474#106×C59C2311yescharacteristic
475#106×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497#41×C59—22no—
498#41×C59—41no—
499C2×Q8×C59—21no—
500C2×Q8×C59—21no—
501C2×Q8×C59—22no—
502C2×Q8×C59—41no—
503C2×Q8×C59C2411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59C2×D411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59C2411yescharacteristic
516C22×C4×C59C2411yescharacteristic
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59C2×D411yescharacteristic
530C2×C22⋊D59C2×D411yescharacteristic
531C2×C22⋊D59C2×D411yescharacteristic
532C2×C22⋊D59C2×D411yescharacteristic
533C2×C22⋊D59C2×D411yescharacteristic
534C2×C22⋊D59C2×D411yescharacteristic
535#11745689—22no—
536#11745689—22no—
537#11745689—22no—
538#11745689—22no—
539#11745689—41no—
540#11745689—41no—
541#11745689—44no—
542#11745689—82no—
543Q8×D59—22no—
544Q8×D59—41no—
545Q8×D59—41no—
546Q8×D59—41no—
547Q8×D59—44no—
548D4×D59—22no—
549D4×D59—41no—
550D4×D59—41no—
551D4×D59—41no—
552D4×D59—41no—
553D4×D59—41no—
554D4×D59—41no—
555D4×D59—41no—
556D4×D59—44no—
557D4×D59—44no—
558D4×D59—82no—
559D4×D59—82no—
560D4×D59—82no—
561#11745685—22no—
562#11745685—41no—
563#11745685—41no—
564#11745685—41no—
565#11745685—41no—
566#11745685—41no—
567#11745685—44no—
568#11745685—44no—
569#11745685—44no—
570#11745685—82no—
571C2×D236—21no—
572C2×D236—22no—
573C2×D236—21no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—21no—
579C2×D236—21no—
580C2×D236—21no—
581C2×D236—21no—
582C2×D236—21no—
583C2×D236—21no—
584C2×D236—21no—
585C2×D236—21no—
586C2×D236—21no—
587C2×D236—21no—
588C2×D236—41no—
589C2×D236—41no—
590C2×D236—41no—
591C2×D236—41no—
592C2×D236—41no—
593C2×D236—44no—
594C2×D236—82no—
595C2×D236C2×D411yescharacteristic
596C2×D236C2×D411yescharacteristic
597C2×D236C2×D411yescharacteristic
598C2×D236C2411yescharacteristic
599C2×D236C2411yescharacteristic
600C2×D236C2411yescharacteristic
601C2×D236C2411yescharacteristic
602C2×D236C2411yescharacteristic
603C2×C4×D59—21no—
604C2×C4×D59—21no—
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59—21no—
608C2×C4×D59—21no—
609C2×C4×D59—21no—
610C2×C4×D59—21no—
611C2×C4×D59—21no—
612C2×C4×D59—21no—
613C2×C4×D59—21no—
614C2×C4×D59C2×D411yescharacteristic
615C2×C4×D59C2×D411yescharacteristic
616C2×C4×D59C2411yescharacteristic
617C2×C4×D59C2411yescharacteristic
618C2×C4×D59C2411yescharacteristic
619C2×Dic118—21no—
620C2×Dic118—21no—
621C2×Dic118—21no—
622C2×Dic118C2×D411yescharacteristic
623C2×Dic118C2×D411yescharacteristic
624C2×Dic118C2411yescharacteristic
625SD16×C59—22no—
626SD16×C59—41no—
627D8×C59—41no—
628M16×C59—41no—
629C2×C8×C59—41no—
630C2×C8×C59C2411yescharacteristic
631C2×C8×C59C2411yescharacteristic
632C2×C8×C59C2411yescharacteristic
633C2×C8×C59C2411yescharacteristic
634C4⋊C4×C59—21no—
635C4⋊C4×C59—21no—
636C4⋊C4×C59—21no—
637C4⋊C4×C59C2×D411yescharacteristic
638C4⋊C4×C59C2411yescharacteristic
639C4⋊C4×C59C2411yescharacteristic
640C4⋊C4×C59C2411yescharacteristic
641C4⋊C4×C59C2411yescharacteristic
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59—21no—
650C22⋊C4×C59—21no—
651C22⋊C4×C59C2×D411yescharacteristic
652C22⋊C4×C59C2×D411yescharacteristic
653C42×C59—21no—
654C42×C59—21no—
655C42×C59—21no—
656C42×C59C2411yescharacteristic
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59—21no—
661C22⋊Dic59—21no—
662C22⋊Dic59C2×D411yescharacteristic
663C22⋊Dic59C2×D411yescharacteristic
664#11745671—22no—
665#11745671—22no—
666#11745671—22no—
667#11745671—41no—
668#11745671—41no—
669#11745671—41no—
670#11745670—41no—
671#11745669—22no—
672#11745669—41no—
673#11745669—41no—
674#11745669—41no—
675#11745669—41no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4—21no—
694(C2×D59)⋊C4—21no—
695(C2×D59)⋊C4—21no—
696(C2×D59)⋊C4—21no—
697(C2×D59)⋊C4—21no—
698(C2×D59)⋊C4—21no—
699(C2×D59)⋊C4—21no—
700(C2×D59)⋊C4—21no—
701(C2×D59)⋊C4C2×D411yescharacteristic
702(C2×D59)⋊C4C2×D411yescharacteristic
703(C2×D59)⋊C4C2×D411yescharacteristic
704(C2×D59)⋊C4C2×D411yescharacteristic
705C4⋊Dic59—21no—
706C4⋊Dic59—21no—
707C4⋊Dic59C2×D411yescharacteristic
708C4⋊Dic59C2411yescharacteristic
709C4⋊Dic59C2411yescharacteristic
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4C2×D411yescharacteristic
714Dic59⋊C4C2×D411yescharacteristic
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59C2×D411yescharacteristic
720C4×Dic59C2×D411yescharacteristic
721C4×Dic59C2411yescharacteristic
722#11745664—41no—
723C2×C59⋊C8—41no—
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728D472—22no—
729D472—22no—
730D472—22no—
731D472—41no—
732D472—41no—
733D472—41no—
734#11745660—41no—
735#11745660—41no—
736#11745660—41no—
737#11745659—41no—
738#11745659—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59C22×D411yescharacteristic
744C23×C59C22×D411yescharacteristic
745C22×D59—21no—
746C22×D59—21no—
747C22×D59—21no—
748C22×D59—21no—
749C22×D59—21no—
750C22×D59—42no—
751C22×D59—42no—
752C22×D59—42no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59—81no—
764C22×D59—81no—
765C22×D59—81no—
766C22×D59—81no—
767C22×D59—81no—
768C22×D59—81no—
769C22×D59—81no—
770C22×D59—81no—
771C22×D59C22×D411yescharacteristic
772C22×D59C22×D411yescharacteristic
773C22×D59C22×D411yescharacteristic
774Q8×C59—21no—
775Q8×C59—21no—
776Q8×C59—21no—
777Q8×C59—42no—
778Q8×C59—81no—
779Q8×C59H(5,𝔽2)12yes—
780D4×C59—21no—
781D4×C59—21no—
782D4×C59—21no—
783D4×C59—21no—
784D4×C59—41no—
785D4×C59—42no—
786D4×C59—81no—
787D4×C59—81no—
788D4×C59—81no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—21no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—42no—
800C2×C4×C59—42no—
801C2×C4×C59—42no—
802C2×C4×C59C22×D411yescharacteristic
803C2×C4×C59C22×D411yescharacteristic
804C2×C4×C59C22×D411yescharacteristic
805C2×C4×C59C22×D411yescharacteristic
806C2×C4×C59C2511yescharacteristic
807C22⋊D59—41no—
808C22⋊D59—41no—
809C22⋊D59—41no—
810C22⋊D59—41no—
811C22⋊D59—41no—
812C22⋊D59—41no—
813C22⋊D59—42no—
814C22⋊D59—42no—
815C22⋊D59—42no—
816C22⋊D59—42no—
817C22⋊D59—81no—
818C22⋊D59—81no—
819C22⋊D59—81no—
820C22⋊D59—81no—
821C22⋊D59—81no—
822C22⋊D59—81no—
823C22⋊D59—81no—
824C22⋊D59—81no—
825C2×Dic59—21no—
826C2×Dic59—21no—
827C2×Dic59—21no—
828C2×Dic59C22×D411yescharacteristic
829C2×Dic59C22×D411yescharacteristic
830C2×Dic59C22×D411yescharacteristic
831C2×Dic59C22×D411yescharacteristic
832C2×Dic59C22×D411yescharacteristic
833D236—24no—
834D236—21no—
835D236—21no—
836D236—21no—
837D236—21no—
838D236—21no—
839D236—21no—
840D236—21no—
841D236—21no—
842D236—21no—
843D236—41no—
844D236—41no—
845D236—41no—
846D236—42no—
847D236—42no—
848D236—42no—
849D236—42no—
850D236—81no—
851D236—81no—
852D236—81no—
853D236—81no—
854D236—81no—
855D236—81no—
856D236—81no—
857D236—81no—
858D236—81no—
859D236—81no—
860D236—81no—
861D236H(5,𝔽2)12yes—
862C4×D59—24no—
863C4×D59—21no—
864C4×D59—21no—
865C4×D59—21no—
866C4×D59—21no—
867C4×D59—21no—
868C4×D59—21no—
869C4×D59—41no—
870C4×D59—41no—
871C4×D59—42no—
872C4×D59—42no—
873C4×D59—42no—
874C4×D59—42no—
875C4×D59—42no—
876C4×D59—42no—
877C4×D59—42no—
878C4×D59—42no—
879C4×D59—81no—
880C4×D59—81no—
881Dic118—21no—
882Dic118—21no—
883Dic118—41no—
884Dic118—41no—
885Dic118—42no—
886Dic118—42no—
887Dic118—81no—
888C8×C59—21no—
889C8×C59—21no—
890C8×C59—21no—
891C8×C59—21no—
892C59⋊C8—21no—
893C59⋊C8—21no—
894C59⋊C8—21no—
895C59⋊C8—21no—
896#61673—591nomaximal, Sylow
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—21no—
900C22×C59—21no—
901C22×C59—21no—
902C22×C59—21no—
903C22×C59—41no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59—41no—
908C22×C59—41no—
909C22×C59C23×D411yescharacteristic
910C2×D59—21no—
911C2×D59—21no—
912C2×D59—21no—
913C2×D59—21no—
914C2×D59—21no—
915C2×D59—21no—
916C2×D59—21no—
917C2×D59—22no—
918C2×D59—21no—
919C2×D59—21no—
920C2×D59—41no—
921C2×D59—41no—
922C2×D59—41no—
923C2×D59—41no—
924C2×D59—41no—
925C2×D59—41no—
926C2×D59—41no—
927C2×D59—41no—
928C2×D59—41no—
929C2×D59—41no—
930C2×D59—41no—
931C2×D59—41no—
932C2×D59—41no—
933C2×D59—41no—
934C2×D59—162no—
935C2×D59—162no—
936C2×D59—162no—
937C2×D59—162no—
938C2×D59—162no—
939C2×D59—162no—
940C2×D59—162no—
941C4×C59—21no—
942C4×C59—21no—
943C4×C59—22no—
944C4×C59—21no—
945C4×C59—21no—
946C4×C59—41no—
947C4×C59—41no—
948C4×C59—41no—
949C4×C59—41no—
950C4×C59—41no—
951C4×C59C2×H(5,𝔽2)11yescharacteristic
952C4×C59C2×H(5,𝔽2)11yescharacteristic
953Dic59—21no—
954Dic59—21no—
955Dic59—21no—
956Dic59—21no—
957Dic59—21no—
958Dic59—41no—
959Dic59—41no—
960Dic59—41no—
961#3549—591no—
962#3500—591no—
963#3321—591no—
964#3321—591no—
965#3321—591no—
966#3321D5911yescharacteristic, complemented
967#3319—591no—
968#3319—591no—
969#3319—591no—
970#3319—591no—
971#3265—591no—
972#3265—591no—
973#3265—591no—
974#3265—591no—
975#3264—591no—
976#3264—591no—
977#3264—591no—
978#3264—591no—
979#3213—591no—
980#3213—591no—
981#3200—591no—
982#3200—591no—
983#3199—591no—
984#3199—591no—
985#3115—591no—
986#3115—591no—
987#3010—591no—
988#3010—591no—
989#3008—591no—
990#3008—591no—
991#2980—591no—
992C2×C59—41no—
993C2×C59—41no—
994C2×C59—81no—
995C2×C59—81no—
996C2×C59#348411yescharacteristic
997C2×C59#358511yescharacteristic
998C2×C59#358511yescharacteristic
999D59—41no—
1000D59—41no—
1001D59—41no—
1002D59—42no—
1003D59—81no—
1004D59—81no—
1005D59—81no—
1006D59—81no—
1007C2×2−1+4—591no—
1008C2×H(5,𝔽2)—591no—
1009C2×AGL(1,ℤ/8)—591no—
1010C2×AGL(1,ℤ/8)—591no—
1011C2×AGL(1,ℤ/8)—591no—
1012C2×AGL(1,ℤ/8)—591no—
1013C22×SD16—591no—
1014C22×SD16—591no—
1015C22×D8—591no—
1016C22×D8—591no—
1017H(3,𝔽4)—1181no—
1018H(3,𝔽4)—1181no—
1019#555—591no—
1020#555—591no—
1021#555—591no—
1022#555—1181no—
1023#555C2×D5911yescharacteristic, complemented
1024#548—591no—
1025#548—591no—
1026#548—591no—
1027#548C2×D5911yescharacteristic, complemented
1028#546—591no—
1029#546—591no—
1030#546—591no—
1031#546—591no—
1032#546—1181no—
1033#546—1181no—
1034#546—1181no—
1035#546—1181no—
1036D42—591no—
1037D42—591no—
1038D42—591no—
1039D42—591no—
1040D42—1181no—
1041#536—591no—
1042#536—1181no—
1043#535—591no—
1044#535—591no—
1045#535—591no—
1046#535—591no—
1047#535—591no—
1048#535—1181no—
1049#535—1181no—
1050#535—1181no—
1051#535—1181no—
1052#535—1181no—
1053#532—591no—
1054#532—591no—
1055#532—591no—
1056#532—1181no—
1057C2×#124—591no—
1058C2×#124—1181no—
1059C4×#41—591no—
1060#496—591no—
1061#496—591no—
1062#496—591no—
1063#496—591no—
1064#489—591no—
1065#489—591no—
1066#489—591no—
1067#489C2×D5911yescharacteristic, complemented
1068#485—591no—
1069#485—591no—
1070#485—591no—
1071#485C2×D5911yescharacteristic, complemented
1072#482—591no—
1073#482—591no—
1074#482—591no—
1075#482—591no—
1076#482—591no—
1077#482—591no—
1078#482—591no—
1079#482C2×D5911yescharacteristic, complemented
1080#475—591no—
1081#475C2×D5911yescharacteristic, complemented
1082#474—591no—
1083#474—591no—
1084#469—591no—
1085#469—591no—
1086#469—591no—
1087#469C2×D5911yescharacteristic, complemented
1088#468—591no—
1089#468—591no—
1090#468—591no—
1091#468—591no—
1092#466—591no—
1093#466—591no—
1094#466—591no—
1095#466—591no—
1096#465—591no—
1097#465—591no—
1098#465—591no—
1099#465C2×D5911yescharacteristic, complemented
1100#463—591no—
1101#463—591no—
1102#463—591no—
1103#463—591no—
1104#463—591no—
1105#463—591no—
1106#463—591no—
1107#463C2×D5911yescharacteristic, complemented
1108#460—591no—
1109#460—591no—
1110#459—591no—
1111#459—591no—
1112#450—591no—
1113#450—591no—
1114#450—591no—
1115#450—591no—
1116#449—591no—
1117#449—591no—
1118#449—591no—
1119#449—591no—
1120#449—591no—
1121#449—591no—
1122#449—591no—
1123#449—591no—
1124#449—591no—
1125#449—591no—
1126#449—591no—
1127#449C2×D5911yescharacteristic, complemented
1128#448—591no—
1129#448—591no—
1130#448—591no—
1131#448—591no—
1132#448—591no—
1133#448—591no—
1134#448—591no—
1135#448C2×D5911yescharacteristic, complemented
1136#447—591no—
1137#447—591no—
1138#447—591no—
1139#447—591no—
1140#447—591no—
1141#447—591no—
1142#447—591no—
1143#447—591no—
1144#447—591no—
1145#447—591no—
1146#447—591no—
1147#447—591no—
1148#442—591no—
1149#442—591no—
1150#442—591no—
1151#442—591no—
1152#440—591no—
1153#440—591no—
1154#440—591no—
1155#440C2×D5911yescharacteristic, complemented
1156#435—591no—
1157#435—591no—
1158#435—591no—
1159#435—591no—
1160#435—591no—
1161#435—591no—
1162#435—591no—
1163#435C2×D5911yescharacteristic, complemented
1164#432—591no—
1165#432—591no—
1166#419—591no—
1167#419C2×D5911yescharacteristic, complemented
1168#418—591no—
1169#418—591no—
1170#416—591no—
1171#416—591no—
1172#416—591no—
1173#416C2×D5911yescharacteristic, complemented
1174#408—591no—
1175#408—591no—
1176#408—591no—
1177#408—591no—
1178C59#6167311yescharacteristic, complemented, Sylow
11792−1+4—2362no—
11802−1+4—2362no—
1181H(5,𝔽2)—2362no—
1182H(5,𝔽2)—2362no—
1183C2×#41—591no—
1184C2×#41—591no—
1185C2×#41—591no—
1186C2×#41—591no—
1187C2×#41—591no—
1188C2×#41—591no—
1189C2×#41—1181no—
1190C2×#41—1181no—
1191C2×#41—1181no—
1192C2×#41—1181no—
1193C2×#41—1181no—
1194C2×#41—1181no—
1195C2×#41C22×D5911yescharacteristic
1196C22×Q8—591no—
1197C22×Q8—591no—
1198C22×Q8—1181no—
1199C22×Q8C22×D5911yescharacteristic
1200C22×D4—591no—
1201C22×D4—591no—
1202C22×D4—591no—
1203C22×D4—591no—
1204C22×D4—591no—
1205C22×D4—591no—
1206C22×D4—591no—
1207C22×D4—1181no—
1208C22×D4—1181no—
1209C22×D4—1181no—
1210C22×D4—1181no—
1211C22×D4—1181no—
1212C22×D4—1181no—
1213C22×D4—1181no—
1214AGL(1,ℤ/8)—2362no—
1215AGL(1,ℤ/8)—2362no—
1216AGL(1,ℤ/8)—2362no—
1217AGL(1,ℤ/8)—2362no—
1218C2×SD16—591no—
1219C2×SD16—591no—
1220C2×SD16—591no—
1221C2×SD16—591no—
1222C2×SD16—591no—
1223C2×SD16—591no—
1224C2×SD16—591no—
1225C2×SD16—591no—
1226C2×SD16—591no—
1227C2×SD16—591no—
1228C2×SD16—2362no—
1229C2×SD16—2362no—
1230C2×SD16C22×D5911yescharacteristic
1231C2×SD16C22×D5911yescharacteristic
1232C2×D8—591no—
1233C2×D8—591no—
1234C2×D8—591no—
1235C2×D8—591no—
1236C2×D8—591no—
1237C2×D8—591no—
1238C2×D8—591no—
1239C2×D8—591no—
1240C2×D8—591no—
1241C2×D8—591no—
1242C2×D8—591no—
1243C2×D8—2362no—
1244C2×D8—2362no—
1245C2×D8C22×D5911yescharacteristic
1246C2×M16—591no—
1247C2×M16—591no—
1248C2×M16—591no—
1249C2×M16C22×D5911yescharacteristic
1250C22×C8—591no—
1251C22×C8—591no—
1252C22×C8—591no—
1253C22×C8C22×D5911yescharacteristic
1254C4⋊Q8—591no—
1255C4⋊Q8—591no—
1256C4⋊Q8—1181no—
1257C4⋊Q8C22×D5911yescharacteristic
1258#127—591no—
1259#127—591no—
1260#127—591no—
1261#127—1181no—
1262#127—1181no—
1263#127—1181no—
1264#127—1181no—
1265#127—1181no—
1266#124—21no—
1267#124—21no—
1268#124—21no—
1269#124—591no—
1270#124—591no—
1271#124—591no—
1272#124—591no—
1273#124—591no—
1274#124—1181no—
1275#124—1181no—
1276#124—1181no—
1277#124—1181no—
1278#124—1181no—
1279#124—1181no—
1280#124—1181no—
1281#124—1181no—
1282#124—1181no—
1283#124—1181no—
1284#124—1181no—
1285#124—1181no—
1286#124—1181no—
1287#124—1181no—
1288#124—1181no—
1289#124—1181no—
1290#124—1181no—
1291#124—1181no—
1292#124—1181no—
1293#124C22×D5911yescharacteristic
1294#123—1181no—
1295#123—1181no—
1296#123—1181no—
1297#123—1181no—
1298#123—1181no—
1299#123—1181no—
1300C22⋊Q8—21no—
1301C22⋊Q8—591no—
1302C22⋊Q8—591no—
1303C22⋊Q8—591no—
1304C22⋊Q8—1181no—
1305C22⋊Q8—1181no—
1306C22⋊Q8—1181no—
1307C22⋊Q8C22×D5911yescharacteristic
1308#121—21no—
1309#121—21no—
1310#121—591no—
1311#121—591no—
1312#121—591no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—591no—
1317#121—591no—
1318#121—591no—
1319#121—591no—
1320#121—591no—
1321#121—591no—
1322#121—591no—
1323#121—591no—
1324#121—591no—
1325#121—591no—
1326#121—591no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121—1181no—
1333#121—1181no—
1334#121—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121C22×D5911yescharacteristic
1344#121C22×D5911yescharacteristic
1345#121C22×D5911yescharacteristic
1346#120—1181no—
1347#120—1181no—
1348#120—1181no—
1349#120—1181no—
1350#120—1181no—
1351#120—1181no—
1352#120—1181no—
1353#120—1181no—
1354#120—1181no—
1355#120—1181no—
1356#120—1181no—
1357#120—1181no—
1358#120—1181no—
1359#120—1181no—
1360#120—1181no—
1361#120—1181no—
1362#120—1181no—
1363#120—1181no—
1364#120—1181no—
1365#120—1181no—
1366#120—1181no—
1367#120—1181no—
1368C4×Q8—591no—
1369C4×Q8C22×D5911yescharacteristic
1370C4×D4—21no—
1371C4×D4—591no—
1372C4×D4—591no—
1373C4×D4—591no—
1374C4×D4—591no—
1375C4×D4—591no—
1376C4×D4—591no—
1377C4×D4—591no—
1378C4×D4—591no—
1379C4×D4—1181no—
1380C4×D4—1181no—
1381C4×D4—1181no—
1382C4×D4—1181no—
1383C4×D4—1181no—
1384C4×D4—1181no—
1385C4×D4—1181no—
1386C4×D4C22×D5911yescharacteristic
1387C4×D4C22×D5911yescharacteristic
1388#117—21no—
1389#117—591no—
1390#117—591no—
1391#117—591no—
1392#117—1181no—
1393#117—1181no—
1394#117—1181no—
1395#117—1181no—
1396#117C22×D5911yescharacteristic
1397#117C22×D5911yescharacteristic
1398C2×C22⋊C4—1181no—
1399C2×C22⋊C4—1181no—
1400C2×C22⋊C4—1181no—
1401C2×C22⋊C4—1181no—
1402C2×C22⋊C4—1181no—
1403C2×C22⋊C4—1181no—
1404C2×C42—591no—
1405C2×C42—1181no—
1406#107—591no—
1407#107—591no—
1408#107—591no—
1409#107C22×D5911yescharacteristic
1410#106—591no—
1411#106—591no—
1412#106C22×D5911yescharacteristic
1413#106C22×D5911yescharacteristic
1414C4⋊C8—591no—
1415C4⋊C8—591no—
1416C4⋊C8—591no—
1417C4⋊C8C22×D5911yescharacteristic
1418#103—591no—
1419#103—591no—
1420#103—591no—
1421#103—591no—
1422#103—591no—
1423#103—591no—
1424#103C22×D5911yescharacteristic
1425#103C22×D5911yescharacteristic
1426#103C22×D5911yescharacteristic
1427#103C22×D5911yescharacteristic
1428#103C22×D5911yescharacteristic
1429#103C22×D5911yescharacteristic
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433#102—591no—
1434#102—591no—
1435#102—591no—
1436#102—591no—
1437#102—591no—
1438#102—591no—
1439#102—591no—
1440#102—591no—
1441#102—591no—
1442#102—591no—
1443#102—591no—
1444#102—591no—
1445#102—591no—
1446#102C22×D5911yescharacteristic
1447#102C22×D5911yescharacteristic
1448#102C22×D5911yescharacteristic
1449#102C22×D5911yescharacteristic
1450C22⋊C8—591no—
1451C22⋊C8—591no—
1452C22⋊C8—591no—
1453C22⋊C8—591no—
1454C22⋊C8—591no—
1455C22⋊C8—591no—
1456C22⋊C8—591no—
1457C22⋊C8—591no—
1458C22⋊C8—591no—
1459C22⋊C8—591no—
1460C22⋊C8C22×D5911yescharacteristic
1461C22⋊C8C22×D5911yescharacteristic
1462#97—591no—
1463#97—591no—
1464#97—591no—
1465#97C22×D5911yescharacteristic
1466C24—1181no—
1467C24—1181no—
1468C24—1181no—
1469C24—1181no—
1470C24—1181no—
1471C24—1181no—
1472C24—1181no—
1473#41—22no—
1474#41—41no—
1475#41—1182no—
1476#41—1182no—
1477#41—1182no—
1478#41—1182no—
1479#41—1182no—
1480#41—4722no—
1481#41—4722no—
1482#41—2361no—
1483#41—2361no—
1484#41—2361no—
1485#41—2361no—
1486#41—2361no—
1487#41—2364no—
1488#41—2364no—
1489#41—2364no—
1490#41—2361no—
1491#41—2361no—
1492#41—2364no—
1493C2×Q8—21no—
1494C2×Q8—21no—
1495C2×Q8—22no—
1496C2×Q8—41no—
1497C2×Q8—591no—
1498C2×Q8—591no—
1499C2×Q8—591no—
1500C2×Q8—1181no—
1501C2×Q8—1181no—
1502C2×Q8—1181no—
1503C2×Q8—1182no—
1504C2×Q8—2361no—
1505C2×Q8—2361no—
1506C2×Q8—2361no—
1507C2×Q8—2364no—
1508C2×Q8C23×D5911yescharacteristic
1509C2×Q8C23×D5911yescharacteristic
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—591no—
1515C2×D4—591no—
1516C2×D4—591no—
1517C2×D4—591no—
1518C2×D4—591no—
1519C2×D4—591no—
1520C2×D4—591no—
1521C2×D4—591no—
1522C2×D4—591no—
1523C2×D4—591no—
1524C2×D4—591no—
1525C2×D4—591no—
1526C2×D4—591no—
1527C2×D4—591no—
1528C2×D4—1182no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—1181no—
1540C2×D4—1181no—
1541C2×D4—1181no—
1542C2×D4—1181no—
1543C2×D4—1181no—
1544C2×D4—1181no—
1545C2×D4—1181no—
1546C2×D4—1182no—
1547C2×D4—1181no—
1548C2×D4—1181no—
1549C2×D4—1181no—
1550C2×D4—1181no—
1551C2×D4—1181no—
1552C2×D4—1181no—
1553C2×D4—1181no—
1554C2×D4—1181no—
1555C2×D4—1181no—
1556C2×D4—1181no—
1557C2×D4—1181no—
1558C2×D4—4722no—
1559C2×D4—4722no—
1560C2×D4—4722no—
1561C2×D4—4722no—
1562C2×D4—2361no—
1563C2×D4—2361no—
1564C2×D4—2361no—
1565C2×D4—2361no—
1566C2×D4—2361no—
1567C2×D4—2364no—
1568C2×D4—2361no—
1569C2×D4—2361no—
1570C2×D4—2361no—
1571C2×D4—2361no—
1572C2×D4—2361no—
1573C2×D4—2361no—
1574C2×D4—2361no—
1575C2×D4—2364no—
1576C2×D4—2364no—
1577C2×D4D4×D5911yescharacteristic
1578C2×D4C23×D5911yescharacteristic
1579C2×D4C23×D5911yescharacteristic
1580C22×C4—21no—
1581C22×C4—21no—
1582C22×C4—21no—
1583C22×C4—591no—
1584C22×C4—591no—
1585C22×C4—591no—
1586C22×C4—591no—
1587C22×C4—591no—
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×C4C23×D5911yescharacteristic
1600C22×C4C23×D5911yescharacteristic
1601SD16—22no—
1602SD16—41no—
1603SD16—1182no—
1604SD16—1182no—
1605SD16—1182no—
1606SD16—2361no—
1607SD16—2361no—
1608SD16—2361no—
1609SD16—2361no—
1610SD16—2361no—
1611SD16—2361no—
1612SD16—2361no—
1613D8—41no—
1614D8—1182no—
1615D8—1182no—
1616D8—1182no—
1617D8—1182no—
1618D8—2361no—
1619D8—2361no—
1620D8—2361no—
1621D8—2361no—
1622D8—2361no—
1623D8—2361no—
1624D8—2361no—
1625M16—41no—
1626M16—2361no—
1627M16—2361no—
1628M16—2361no—
1629C2×C8—41no—
1630C2×C8—591no—
1631C2×C8—591no—
1632C2×C8—591no—
1633C2×C8—591no—
1634C2×C8—2361no—
1635C2×C8—2361no—
1636C2×C8—2361no—
1637C2×C8C23×D5911yescharacteristic
1638C2×C8C23×D5911yescharacteristic
1639C2×C8C23×D5911yescharacteristic
1640C2×C8C23×D5911yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—591no—
1645C4⋊C4—591no—
1646C4⋊C4—591no—
1647C4⋊C4—591no—
1648C4⋊C4—591no—
1649C4⋊C4—1181no—
1650C4⋊C4—1181no—
1651C4⋊C4—1181no—
1652C4⋊C4—1181no—
1653C4⋊C4—1181no—
1654C4⋊C4D4×D5911yescharacteristic
1655C4⋊C4C23×D5911yescharacteristic
1656C4⋊C4C23×D5911yescharacteristic
1657C4⋊C4C23×D5911yescharacteristic
1658C4⋊C4C23×D5911yescharacteristic
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—591no—
1669C22⋊C4—591no—
1670C22⋊C4—591no—
1671C22⋊C4—591no—
1672C22⋊C4—591no—
1673C22⋊C4—591no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C22⋊C4—1181no—
1688C22⋊C4—1181no—
1689C22⋊C4—1181no—
1690C22⋊C4—1181no—
1691C22⋊C4—1181no—
1692C22⋊C4—1181no—
1693C22⋊C4—1181no—
1694C22⋊C4—1181no—
1695C22⋊C4—1181no—
1696C22⋊C4—1181no—
1697C22⋊C4—1181no—
1698C22⋊C4—1181no—
1699C22⋊C4—1181no—
1700C22⋊C4—1181no—
1701C22⋊C4—1181no—
1702C22⋊C4—1181no—
1703C22⋊C4—1181no—
1704C22⋊C4D4×D5911yescharacteristic
1705C22⋊C4D4×D5911yescharacteristic
1706C42—21no—
1707C42—21no—
1708C42—21no—
1709C42—591no—
1710C42—591no—
1711C42—591no—
1712C42—1181no—
1713C42—1181no—
1714C42—1181no—
1715C42—1181no—
1716C42C23×D5911yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—591no—
1720C23—591no—
1721C23—591no—
1722C23—1181no—
1723C23—1181no—
1724C23—1181no—
1725C23—1181no—
1726C23—1181no—
1727C23—4721no—
1728C23—4721no—
1729C23—4721no—
1730C23—4721no—
1731C23—4721no—
1732C23—4721no—
1733C23—4721no—
1734C23—4721no—
1735C23—4721no—
1736C23—4721no—
1737C23—4721no—
1738C23—4721no—
1739C23—4721no—
1740C23—4721no—
1741C23—4721no—
1742C23—4721no—
1743C23—4721no—
1744C23—4721no—
1745C23—2362no—
1746C23—2362no—
1747C23—2362no—
1748C23C2×D4×D5911yescharacteristic
1749C23C2×D4×D5911yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—42no—
1754Q8—81no—
1755Q8—1181no—
1756Q8—1181no—
1757Q8—4721no—
1758Q8—2361no—
1759Q8—2361no—
1760Q8—2362no—
1761Q8—2362no—
1762Q8#1427377312yes—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—41no—
1768D4—42no—
1769D4—81no—
1770D4—81no—
1771D4—81no—
1772D4—592no—
1773D4—1184no—
1774D4—1181no—
1775D4—1181no—
1776D4—1181no—
1777D4—1181no—
1778D4—1181no—
1779D4—1181no—
1780D4—1181no—
1781D4—1181no—
1782D4—1181no—
1783D4—4721no—
1784D4—4721no—
1785D4—4721no—
1786D4—4721no—
1787D4—4721no—
1788D4—4721no—
1789D4—4721no—
1790D4—4721no—
1791D4—4721no—
1792D4—4721no—
1793D4—4721no—
1794D4—4721no—
1795D4—4721no—
1796D4—4721no—
1797D4—4721no—
1798D4—4721no—
1799D4—4721no—
1800D4—4721no—
1801D4—4721no—
1802D4—2361no—
1803D4—2361no—
1804D4—2361no—
1805D4—2362no—
1806D4—2362no—
1807D4—2362no—
1808D4—2362no—
1809D4—2361no—
1810D4—2361no—
1811D4—2361no—
1812D4—2361no—
1813D4—2361no—
1814D4—2361no—
1815D4—2362no—
1816D4—2362no—
1817D4—2362no—
1818D4—2362no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—42no—
1830C2×C4—42no—
1831C2×C4—42no—
1832C2×C4—591no—
1833C2×C4—591no—
1834C2×C4—591no—
1835C2×C4—591no—
1836C2×C4—591no—
1837C2×C4—1184no—
1838C2×C4—1181no—
1839C2×C4—1181no—
1840C2×C4—1181no—
1841C2×C4—1181no—
1842C2×C4—1181no—
1843C2×C4—1181no—
1844C2×C4—1181no—
1845C2×C4—1181no—
1846C2×C4—1181no—
1847C2×C4—4721no—
1848C2×C4—4721no—
1849C2×C4—2361no—
1850C2×C4—2361no—
1851C2×C4—2362no—
1852C2×C4—2362no—
1853C2×C4—2362no—
1854C2×C4—2362no—
1855C2×C4—2362no—
1856C2×C4—2362no—
1857C2×C4—2362no—
1858C2×C4—2362no—
1859C2×C4C2×D4×D5911yescharacteristic
1860C2×C4C2×D4×D5911yescharacteristic
1861C2×C4C2×D4×D5911yescharacteristic
1862C2×C4C2×D4×D5911yescharacteristic
1863C2×C4C24×D5911yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—1181no—
1869C8—1181no—
1870C8—1181no—
1871C8—1181no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—1182no—
1885C22—1181no—
1886C22—1181no—
1887C22—1181no—
1888C22—1181no—
1889C22—1181no—
1890C22—1181no—
1891C22—1181no—
1892C22—1181no—
1893C22—1181no—
1894C22—9442no—
1895C22—9442no—
1896C22—9442no—
1897C22—9442no—
1898C22—9442no—
1899C22—9442no—
1900C22—9442no—
1901C22—2361no—
1902C22—2361no—
1903C22—2361no—
1904C22—2361no—
1905C22—2361no—
1906C22—2361no—
1907C22—2361no—
1908C22—2361no—
1909C22—2361no—
1910C22—2361no—
1911C22—2361no—
1912C22—2361no—
1913C22—2361no—
1914C22—2361no—
1915C22C22×D4×D5911yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—22no—
1919C4—21no—
1920C4—21no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—41no—
1926C4—1181no—
1927C4—1181no—
1928C4—1181no—
1929C4—1181no—
1930C4—1181no—
1931C4—2361no—
1932C4—2361no—
1933C4—2361no—
1934C4H(5,𝔽2)×D5911yescharacteristic
1935C4C2×#1427377311yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—81no—
1939C2—81no—
1940C2—4721no—
1941C2—4721no—
1942C2—4721no—
1943C2—4721no—
1944C2—2361no—
1945C2—2361no—
1946C2—2361no—
1947C2—2362no—
1948C2#2143772611yescharacteristic
1949C2#2143887311yescharacteristic
1950C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3321C2
socleC22×C59C23×D4
hypercenter#3321D59
hypocenterC59#61673
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3321

Complements

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

NH ≅ G/Ntype
1. #21438497C2semidirect
2. #21437887C2semidirect
3. #21436283C2semidirect
4. #21436279C2semidirect
5. #21436278C2semidirect
6. #21436255C2semidirect
7. #21436251C2semidirect
8. #21436250C2semidirect
9. #21436246C2semidirect
10. #21435594C2semidirect
11. #21435593C2semidirect
12. #21435592C2semidirect
13. #21435584C2semidirect
14. #21435583C2semidirect
15. #21435582C2semidirect
16. #21435581C2semidirect
17. #21435573C2semidirect
18. #21435084C2semidirect
19. #21435081C2semidirect
20. #21434967C2semidirect
21. #21434962C2semidirect
22. #21434960C2semidirect
23. #21434958C2semidirect
24. #21434250C2semidirect
25. #21434245C2semidirect
26. #21433383C2semidirect
27. #21433377C2semidirect
28. #21433367C2semidirect
29. #21433361C2semidirect
30. #21433164C2semidirect
31. C59×#3321C2semidirect
32. C2×#14273775C22semidirect
33. C2×#14273773C22semidirect
34. C2×#14273755C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273754C22semidirect
37. C2×#14273752C22semidirect
38. C22×#11745671C22semidirect
39. C2×SD16×D59C22semidirect
40. C22×D472C22semidirect
41. C2×D8×D59C22semidirect
44. #16838118C22semidirect
46. #16838115C22semidirect
47. #16838115C22semidirect
48. #16838064C22semidirect
49. #16838063C22semidirect
50. #16838059C22semidirect
52. #16838049C22semidirect
54. #16838048C22semidirect
56. #16838045C22semidirect
58. #16838043C22semidirect
59. D4×D236C22semidirect
60. D4×D236C22semidirect
62. #16838036C22semidirect
63. #16838036C22semidirect
65. #16837975C22semidirect
68. #16837971C22semidirect
74. #16837968C22semidirect
75. #16837968C22semidirect
76. #16837953C22semidirect
79. #16837949C22semidirect
81. #124×D59C22semidirect
82. C4×#11745689C22semidirect
83. #16837792C22semidirect
84. #16837791C22semidirect
85. #16837790C22semidirect
86. #16837788C22semidirect
87. #16837764C22semidirect
88. #16837763C22semidirect
89. #16837760C22semidirect
90. #16837746C22semidirect
91. #16837743C22semidirect
92. #16837741C22semidirect
93. #16837729C22semidirect
94. #16837728C22semidirect
95. #16837728C22semidirect
96. #16837728C22semidirect
97. #16837726C22semidirect
98. #16837725C22semidirect
99. #16837725C22semidirect
100. #16837685C22semidirect
101. #16837681C22semidirect
102. #16837679C22semidirect
103. #16837656C22semidirect
104. #16837655C22semidirect
105. #16837654C22semidirect
106. #16837651C22semidirect
107. #16837650C22semidirect
108. #16837649C22semidirect
109. #16837646C22semidirect
110. #16837639C22semidirect
111. #16837637C22semidirect
112. #16837636C22semidirect
113. #16837636C22semidirect
114. #16837634C22semidirect
115. #16837632C22semidirect
116. #16837631C22semidirect
117. #16837620C22semidirect
118. #16837620C22semidirect
119. #16837618C22semidirect
120. #16837617C22semidirect
121. #16837616C22semidirect
122. #16837616C22semidirect
123. #16837614C22semidirect
124. #16837602C22semidirect
125. #16837600C22semidirect
126. #16837598C22semidirect
127. #16837596C22semidirect
128. #16837555C22semidirect
129. #16837554C22semidirect
130. #16837552C22semidirect
131. #16837551C22semidirect
132. #16837550C22semidirect
133. #16837550C22semidirect
134. #16837550C22semidirect
135. #16837550C22semidirect
136. #16837550C22semidirect
137. #16837550C22semidirect
138. #16837550C22semidirect
139. #16837549C22semidirect
140. #16837547C22semidirect
141. #16837546C22semidirect
142. #16837545C22semidirect
143. #16837542C22semidirect
144. #16837542C22semidirect
145. #16837542C22semidirect
146. #16837542C22semidirect
147. #16837542C22semidirect
148. #16837541C22semidirect
149. #16837539C22semidirect
150. #16837538C22semidirect
151. #16837538C22semidirect
152. #16837537C22semidirect
153. #16837537C22semidirect
154. #16837537C22semidirect
155. #16837537C22semidirect
156. #16837537C22semidirect
157. #16837537C22semidirect
158. #16837535C22semidirect
159. #16837535C22semidirect
160. #16837534C22semidirect
161. #16837534C22semidirect
162. #16837515C22semidirect
163. #16837513C22semidirect
164. #16837513C22semidirect
165. #16837512C22semidirect
166. #16837505C22semidirect
167. #16837505C22semidirect
168. #16837500C22semidirect
169. #16837476C22semidirect
170. #16837475C22semidirect
171. #16837474C22semidirect
172. #16837473C22semidirect
173. #16837472C22semidirect
174. #16837471C22semidirect
175. #16837470C22semidirect
176. #16837458C22semidirect
177. #16837457C22semidirect
178. #16837409C22semidirect
179. #16837406C22semidirect
180. #16837405C22semidirect
181. #16837397C22semidirect
182. #16837397C22semidirect
183. #16837396C22semidirect
184. #16837370C22semidirect
185. #16837368C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C59×#555C22semidirect
189. C59×#548C22semidirect
190. C59×#489C22semidirect
191. C59×#485C22semidirect
192. C59×#482C22semidirect
193. C59×#475C22semidirect
194. C59×#469C22semidirect
195. C59×#465C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#448C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#419C22semidirect
202. C59×#416C22semidirect
966. #3321D59semidirect
1023. #555C2×D59semidirect
1027. #548C2×D59semidirect
1067. #489C2×D59semidirect
1071. #485C2×D59semidirect
1079. #482C2×D59semidirect
1081. #475C2×D59semidirect
1087. #469C2×D59semidirect
1099. #465C2×D59semidirect
1107. #463C2×D59semidirect
1127. #449C2×D59semidirect
1135. #448C2×D59semidirect
1155. #440C2×D59semidirect
1163. #435C2×D59semidirect
1167. #419C2×D59semidirect
1173. #416C2×D59semidirect
1178. C59#61673semidirect

Maximal subgroups

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

subgroupindex
#214384972
#214378872
#214362832
#214362792
#214362782
#214362552
#214362512
#214362502
#214362462
#214355942
#214355932
#214355922
#214355842
#214355832
#214355822
#214355812
#214355732
#214350842
#214350812
#214349672
#214349622
#214349602
#214349582
#214342502
#214342452
#214333832
#214333772
#214333672
#214333612
#214331642
C59×#33212
#6167359