Finite Group Databasebeta

← #29483902

Subgroups — #29483902

Order 15104.

1900 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438426C211yesmaximal, characteristic, complemented
2#21437180C211yesmaximal, characteristic, complemented
3#21437134C211yesmaximal, characteristic, complemented
4#21436864C211yesmaximal, characteristic, complemented
5#21436825C211yesmaximal, characteristic, complemented
6#21436332C211yesmaximal, characteristic, complemented
7#21436306C211yesmaximal, characteristic, complemented
8#21436246C211yesmaximal, characteristic, complemented
9#21436231C211yesmaximal, characteristic, complemented
10#21436111C211yesmaximal, characteristic, complemented
11#21436096C211yesmaximal, characteristic, complemented
12#21435728C211yesmaximal, characteristic, complemented
13#21435716C211yesmaximal, characteristic, complemented
14#21435682C211yesmaximal, characteristic, complemented
15#21435637C211yesmaximal, characteristic, complemented
16#21435592C211yesmaximal, characteristic, complemented
17#21435592C211yesmaximal, characteristic, complemented
18#21435531C211yesmaximal, characteristic, complemented
19#21435507C211yesmaximal, characteristic, complemented
20#21435492C211yesmaximal, characteristic, complemented
21#21435184C211yesmaximal, characteristic, complemented
22#21435140C211yesmaximal, characteristic, complemented
23#21435111C211yesmaximal, characteristic, complemented
24#21434387C211yesmaximal, characteristic, complemented
25#21434295C211yesmaximal, characteristic, complemented
26#21434205C211yesmaximal, characteristic, complemented
27#21433635C211yesmaximal, characteristic, complemented
28#21433617C211yesmaximal, characteristic, complemented
29#21433576C211yesmaximal, characteristic, complemented
30#21433266C211yesmaximal, characteristic, complemented
31C59×#3524C211yesmaximal, characteristic, complemented
32C2×#14273758C2211yescharacteristic, complemented
33C2×#14273752C2211yescharacteristic, complemented
34C2×#14273752C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic, complemented
36C2×#14273747C2211yescharacteristic, complemented
37C22×#11745671C2211yescharacteristic, complemented
38#16838143—21no—
39#16838143—21no—
40#16838137C2211yescharacteristic
41#16838074C2211yescharacteristic
42#16838073C2211yescharacteristic
43#16838048C2211yescharacteristic
44#16838048C2211yescharacteristic
45#16838043—21no—
46D4×D236C2211yescharacteristic
47D4×D236C2211yescharacteristic
48D4×D236C2211yescharacteristic
49#16838036—21no—
50#16838008—21no—
51#16838007C2211yescharacteristic
52#16838007C2211yescharacteristic
53#16837971C2211yescharacteristic
54#16837971C2211yescharacteristic
55#16837970—21no—
56#16837963—21no—
57#16837963—21no—
58C2×#14273724C2211yescharacteristic
59#16837936C2211yescharacteristic
60#16837792C2211yescharacteristic
61#16837792C2211yescharacteristic, complemented
62#16837792C2211yescharacteristic, complemented
63#16837789C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic, complemented
65#16837778C2211yescharacteristic, complemented
66#16837768C2211yescharacteristic
67#16837768C2211yescharacteristic, complemented
68#16837768C2211yescharacteristic, complemented
69#16837764C2211yescharacteristic, complemented
70#16837759C2211yescharacteristic, complemented
71#16837750C2211yescharacteristic, complemented
72#16837743C2211yescharacteristic, complemented
73#16837726C2211yescharacteristic
74#16837726C2211yescharacteristic, complemented
75#16837726C2211yescharacteristic, complemented
76#16837720C2211yescharacteristic, complemented
77#16837715C2211yescharacteristic, complemented
78#16837709C2211yescharacteristic, complemented
79#16837709C2211yescharacteristic, complemented
80#16837706C2211yescharacteristic, complemented
81#16837702C2211yescharacteristic, complemented
82#16837702C2211yescharacteristic, complemented
83#16837699C2211yescharacteristic, complemented
84#16837699C2211yescharacteristic, complemented
85#16837699C2211yescharacteristic, complemented
86#16837689C2211yescharacteristic, complemented
87#16837679C2211yescharacteristic, complemented
88#16837658C2211yescharacteristic, complemented
89#16837653C2211yescharacteristic
90#16837653C2211yescharacteristic, complemented
91#16837653C2211yescharacteristic, complemented
92#16837653C2211yescharacteristic, complemented
93#16837650C2211yescharacteristic
94#16837650C2211yescharacteristic, complemented
95#16837646C2211yescharacteristic, complemented
96#16837636C2211yescharacteristic, complemented
97#16837636C2211yescharacteristic, complemented
98#16837636C2211yescharacteristic, complemented
99#16837633C2211yescharacteristic, complemented
100#16837624C2211yescharacteristic, complemented
101#16837624C2211yescharacteristic, complemented
102#16837624C2211yescharacteristic, complemented
103#16837624C2211yescharacteristic, complemented
104#16837624C2211yescharacteristic, complemented
105#16837621C2211yescharacteristic, complemented
106#16837617C2211yescharacteristic, complemented
107#16837617C2211yescharacteristic, complemented
108#16837617C2211yescharacteristic, complemented
109#16837614C2211yescharacteristic, complemented
110#16837614C2211yescharacteristic, complemented
111#16837614C2211yescharacteristic, complemented
112#16837602C2211yescharacteristic
113#16837602C2211yescharacteristic, complemented
114#16837602C2211yescharacteristic, complemented
115#16837602C2211yescharacteristic, complemented
116#16837602C2211yescharacteristic, complemented
117#16837602C2211yescharacteristic, complemented
118#16837602C2211yescharacteristic, complemented
119#16837602C2211yescharacteristic, complemented
120#16837602C2211yescharacteristic, complemented
121#16837597C2211yescharacteristic
122#16837597C2211yescharacteristic, complemented
123#16837597C2211yescharacteristic, complemented
124#16837597C2211yescharacteristic, complemented
125#16837597C2211yescharacteristic, complemented
126#16837597C2211yescharacteristic, complemented
127#16837597C2211yescharacteristic, complemented
128#16837594C2211yescharacteristic, complemented
129#16837594C2211yescharacteristic, complemented
130#16837564C2211yescharacteristic, complemented
131#16837562C2211yescharacteristic, complemented
132#16837552C2211yescharacteristic, complemented
133#16837552C2211yescharacteristic, complemented
134#16837552C2211yescharacteristic, complemented
135#16837547C2211yescharacteristic
136#16837547C2211yescharacteristic, complemented
137#16837547C2211yescharacteristic, complemented
138#16837545C2211yescharacteristic, complemented
139#16837545C2211yescharacteristic, complemented
140#16837545C2211yescharacteristic, complemented
141#16837541C2211yescharacteristic, complemented
142#16837541C2211yescharacteristic, complemented
143#16837535C2211yescharacteristic, complemented
144#16837535C2211yescharacteristic, complemented
145#16837535C2211yescharacteristic, complemented
146#16837535C2211yescharacteristic, complemented
147#16837535C2211yescharacteristic, complemented
148#16837533C2211yescharacteristic, complemented
149#16837533C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic, complemented
151#16837512C2211yescharacteristic, complemented
152#16837507C2211yescharacteristic, complemented
153#16837502C2211yescharacteristic, complemented
154#16837500C2211yescharacteristic, complemented
155#16837500C2211yescharacteristic, complemented
156#16837500C2211yescharacteristic, complemented
157#16837500C2211yescharacteristic, complemented
158C4×#11745671C2211yescharacteristic, complemented
159C4×#11745671C2211yescharacteristic, complemented
160C4×#11745671C2211yescharacteristic, complemented
161C4×#11745669C2211yescharacteristic, complemented
162#16837480C2211yescharacteristic, complemented
163#16837480C2211yescharacteristic, complemented
164#16837474C2211yescharacteristic, complemented
165#16837474C2211yescharacteristic, complemented
166#16837474C2211yescharacteristic, complemented
167#16837474C2211yescharacteristic, complemented
168#16837463C2211yescharacteristic, complemented
169#16837463C2211yescharacteristic, complemented
170#16837459C2211yescharacteristic, complemented
171#16837429C2211yescharacteristic, complemented
172#16837429C2211yescharacteristic, complemented
173#16837426C2211yescharacteristic, complemented
174#16837406C2211yescharacteristic, complemented
175#16837406C2211yescharacteristic, complemented
176#16837406C2211yescharacteristic, complemented
177#16837401C2211yescharacteristic, complemented
178#16837396C2211yescharacteristic, complemented
179C2×#14273647C2211yescharacteristic, complemented
180C59×#559—21no—
181C59×#559C2211yescharacteristic, complemented
182C59×#557C2211yescharacteristic, complemented
183C59×#555—21no—
184C59×#555C2211yescharacteristic, complemented
185C59×#553—21no—
186C59×#553C2211yescharacteristic, complemented
187C59×#552—21no—
188C59×#552C2211yescharacteristic, complemented
189C59×#550C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic, complemented
191C59×#548C2211yescharacteristic, complemented
192C59×#542—21no—
193C59×#542C2211yescharacteristic, complemented
194C59×#540—21no—
195C59×#540C2211yescharacteristic, complemented
196C59×#529—21no—
197C59×#529—21no—
198C59×#529C2211yescharacteristic
199C59×#529C2211yescharacteristic, complemented
200C59×#520C2211yescharacteristic, complemented
201C59×#519C2211yescharacteristic, complemented
202C4×#41×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C22×D236—21no—
207C22×D236—21no—
208C22×D236C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C22×D236C2311yescharacteristic
212C2×D4×D59—21no—
213C2×D4×D59—21no—
214C2×D4×D59—21no—
215#14273758—42no—
216#14273752—42no—
217#14273752—42no—
218#14273752—42no—
219#14273747—42no—
220C2×#11745672C2311yescharacteristic
221C2×#11745672C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745671—42no—
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244C2×#11745669C2311yescharacteristic
245C2×#11745664C2311yescharacteristic
246C2×#11745664C2311yescharacteristic
247C2×#11745664C2311yescharacteristic
248C2×#11745664C2311yescharacteristic
249C22×C59⋊C8C2311yescharacteristic
250C22×C59⋊C8C2311yescharacteristic
251#14273724—21no—
252#14273724—21no—
253#14273724C2311yescharacteristic
254#14273724C2311yescharacteristic
255#14273724C2311yescharacteristic
256#14273724C2311yescharacteristic
257#14273724C2311yescharacteristic
258#14273724C2311yescharacteristic
259#14273723—21no—
260#14273721—21no—
261#14273719C2311yescharacteristic
262#14273716—21no—
263#14273715C2311yescharacteristic
264#14273715C2311yescharacteristic
265#14273715C2311yescharacteristic
266#14273712—21no—
267#14273712—21no—
268#14273712—21no—
269#14273712—21no—
270#14273712—21no—
271#14273712—21no—
272#14273712—21no—
273#14273712—21no—
274#14273710—21no—
275#14273706C2311yescharacteristic
276#14273702—21no—
277#14273702—21no—
278#14273702—21no—
279#14273702—21no—
280#14273702—21no—
281#14273702—21no—
282#14273702—21no—
283#14273702—21no—
284#14273702—21no—
285#14273702—21no—
286#14273701C2311yescharacteristic
287#14273701C2311yescharacteristic
288#14273701C2311yescharacteristic
289#14273701C2311yescharacteristic
290#14273701C2311yescharacteristic
291#14273700—21no—
292#14273700—21no—
293#14273700—21no—
294#14273700—21no—
295#14273700—21no—
296#14273700—21no—
297#14273700—21no—
298#14273700—21no—
299#14273697—21no—
300#14273697—21no—
301#14273697—21no—
302#14273697—21no—
303#14273697—21no—
304#14273697—21no—
305#14273697—21no—
306#14273697—21no—
307#14273697—21no—
308#14273697—21no—
309#14273695—21no—
310#14273695—21no—
311C4×Dic118C2311yescharacteristic
312C4×D236C2311yescharacteristic
313C4×D236C2311yescharacteristic
314C4×D236C2311yescharacteristic
315C4×D236C2311yescharacteristic
316C4×D236C2311yescharacteristic
317#14273689—21no—
318#14273689—21no—
319C4×C22⋊D59—21no—
320#14273684—21no—
321C22⋊C4×D59—21no—
322C22⋊C4×D59—21no—
323#14273660C2311yescharacteristic
324#14273660C2311yescharacteristic
325#14273660C2311yescharacteristic
326#14273660C2311yescharacteristic
327#14273658C2311yescharacteristic
328#14273658C2311yescharacteristic
329#14273658C2311yescharacteristic
330#14273658C2311yescharacteristic
331C4⋊(C59⋊C8)C2311yescharacteristic
332C4⋊(C59⋊C8)C2311yescharacteristic
333C4⋊(C59⋊C8)C2311yescharacteristic
334C4⋊(C59⋊C8)C2311yescharacteristic
335C4⋊(C59⋊C8)C2311yescharacteristic
336C4⋊(C59⋊C8)C2311yescharacteristic
337C4⋊(C59⋊C8)C2311yescharacteristic
338C4⋊(C59⋊C8)C2311yescharacteristic
339C4⋊(C59⋊C8)C2311yescharacteristic
340C4⋊(C59⋊C8)C2311yescharacteristic
341#14273651C2311yescharacteristic
342#14273651C2311yescharacteristic
343#14273651C2311yescharacteristic
344#14273651C2311yescharacteristic
345#14273650C2311yescharacteristic
346#14273650C2311yescharacteristic
347#14273650C2311yescharacteristic
348#14273650C2311yescharacteristic
349#14273648C2311yescharacteristic
350#14273648C2311yescharacteristic
351#14273648C2311yescharacteristic
352#14273648C2311yescharacteristic
353#14273647C2311yescharacteristic
354#14273647C2311yescharacteristic
355#14273647C2311yescharacteristic
356#14273647C2311yescharacteristic
357#14273647C2311yescharacteristic
358#14273647C2311yescharacteristic
359#14273647C2311yescharacteristic
360#14273647C2311yescharacteristic
361#14273647C2311yescharacteristic
362#14273647C2311yescharacteristic
363#14273647C2311yescharacteristic
364#14273647C2311yescharacteristic
365#14273647C2311yescharacteristic
366#14273647C2311yescharacteristic
367#14273647C2311yescharacteristic
368#14273647C2311yescharacteristic
369#14273647C2311yescharacteristic
370#14273647C2311yescharacteristic
371#14273647C2311yescharacteristic
372#14273647C2311yescharacteristic
373C22⋊(C59⋊C8)C2311yescharacteristic
374C22⋊(C59⋊C8)C2311yescharacteristic
375C22⋊(C59⋊C8)C2311yescharacteristic
376C22⋊(C59⋊C8)C2311yescharacteristic
377C22⋊(C59⋊C8)C2311yescharacteristic
378C22⋊(C59⋊C8)C2311yescharacteristic
379#14273638C2311yescharacteristic
380#14273638C2311yescharacteristic
381#14273638C2311yescharacteristic
382#14273638C2311yescharacteristic
383C4×C59⋊C8C2311yescharacteristic
384C4×C59⋊C8C2311yescharacteristic
385C2×#41×C59C2311yescharacteristic
386C2×#41×C59C2311yescharacteristic
387C22×Q8×C59C2311yescharacteristic
388C4⋊Q8×C59—21no—
389C4⋊Q8×C59C2311yescharacteristic
390#127×C59—21no—
391#127×C59C2311yescharacteristic
392#126×C59—21no—
393#126×C59—21no—
394#126×C59—21no—
395#126×C59—21no—
396#126×C59D411yescharacteristic
397#126×C59D411yescharacteristic
398#125×C59—21no—
399#125×C59—21no—
400#125×C59—21no—
401#125×C59D411yescharacteristic
402#125×C59C2311yescharacteristic
403#125×C59C2311yescharacteristic
404#124×C59—21no—
405#124×C59—21no—
406#124×C59—21no—
407#124×C59—21no—
408#124×C59—21no—
409#124×C59—21no—
410#124×C59D411yescharacteristic
411#124×C59C2311yescharacteristic
412#124×C59C2311yescharacteristic
413#123×C59—21no—
414#123×C59—21no—
415#123×C59—21no—
416#123×C59—21no—
417#123×C59—21no—
418#123×C59—21no—
419#123×C59—21no—
420#123×C59—21no—
421#123×C59D411yescharacteristic
422#123×C59D411yescharacteristic
423C22⋊Q8×C59—21no—
424C22⋊Q8×C59—21no—
425C22⋊Q8×C59—21no—
426C22⋊Q8×C59D411yescharacteristic
427C22⋊Q8×C59C2311yescharacteristic
428C22⋊Q8×C59C2311yescharacteristic
429#121×C59—21no—
430#121×C59—21no—
431#121×C59—21no—
432#121×C59—21no—
433#121×C59—21no—
434#121×C59—21no—
435#121×C59—21no—
436#121×C59—21no—
437#121×C59D411yescharacteristic
438#121×C59C2311yescharacteristic
439#121×C59C2311yescharacteristic
440#121×C59C2311yescharacteristic
441#121×C59C2311yescharacteristic
442C4×Q8×C59—21no—
443C4×Q8×C59—21no—
444C4×Q8×C59—21no—
445C4×Q8×C59C2311yescharacteristic
446C4×Q8×C59C2311yescharacteristic
447C4×Q8×C59C2311yescharacteristic
448C4×Q8×C59C2311yescharacteristic
449C4×Q8×C59C2311yescharacteristic
450C4×Q8×C59C2311yescharacteristic
451C4×Q8×C59C2311yescharacteristic
452C4×D4×C59—21no—
453C4×D4×C59—21no—
454C4×D4×C59—21no—
455C4×D4×C59—21no—
456C4×D4×C59—21no—
457C4×D4×C59—21no—
458C4×D4×C59—21no—
459C4×D4×C59—21no—
460C4×D4×C59—21no—
461C4×D4×C59—21no—
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469#117×C59—21no—
470#117×C59—21no—
471#117×C59—21no—
472#117×C59—21no—
473#117×C59—21no—
474#117×C59—21no—
475#117×C59—21no—
476#117×C59C2311yescharacteristic
477#117×C59C2311yescharacteristic
478#117×C59C2311yescharacteristic
479#117×C59C2311yescharacteristic
480C2×C4⋊C4×C59—21no—
481C2×C4⋊C4×C59C2311yescharacteristic
482C2×C42×C59—21no—
483C2×C42×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488#41×C59—22no—
489#41×C59—22no—
490#41×C59—41no—
491#41×C59—41no—
492C2×Q8×C59—21no—
493C2×Q8×C59—21no—
494C2×Q8×C59—22no—
495C2×Q8×C59—41no—
496C2×Q8×C59C2×D411yescharacteristic
497C2×Q8×C59C2411yescharacteristic
498C2×Q8×C59C2411yescharacteristic
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59C2×D411yescharacteristic
508C2×D4×C59C2×D411yescharacteristic
509C2×D4×C59C2×D411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59—21no—
520C22×C4×C59C2×D411yescharacteristic
521C22×C4×C59C2×D411yescharacteristic
522C22×C4×C59C2411yescharacteristic
523C22×C4×C59C2411yescharacteristic
524C22×C4×C59C2411yescharacteristic
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532#11745689—82no—
533D4×D59—82no—
534D4×D59—82no—
535D4×D59—82no—
536#11745685—41no—
537#11745685—41no—
538#11745685—41no—
539#11745685—41no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—21no—
546C2×D236—21no—
547C2×D236—21no—
548C2×D236—21no—
549C2×D236—21no—
550C2×D236—21no—
551C2×D236—21no—
552C2×D236—21no—
553C2×D236—21no—
554C2×D236—21no—
555C2×D236—21no—
556C2×D236—41no—
557C2×D236—41no—
558C2×D236—41no—
559C2×D236—41no—
560C2×D236—41no—
561C2×D236—41no—
562C2×D236—41no—
563C2×D236—41no—
564C2×D236—82no—
565C2×D236—82no—
566C2×D236C2411yescharacteristic
567C2×D236C2411yescharacteristic
568C2×D236C2411yescharacteristic
569C2×D236C2411yescharacteristic
570C2×D236C2411yescharacteristic
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×Dic118C2411yescharacteristic
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
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×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59—21no—
593C4⋊C4×C59C2×D411yescharacteristic
594C4⋊C4×C59C2×D411yescharacteristic
595C4⋊C4×C59C2×D411yescharacteristic
596C4⋊C4×C59C2×D411yescharacteristic
597C4⋊C4×C59C2×D411yescharacteristic
598C4⋊C4×C59C2×D411yescharacteristic
599C4⋊C4×C59C2×D411yescharacteristic
600C4⋊C4×C59C2×D411yescharacteristic
601C4⋊C4×C59C2×D411yescharacteristic
602C4⋊C4×C59C2×D411yescharacteristic
603C4⋊C4×C59C2411yescharacteristic
604C4⋊C4×C59C2411yescharacteristic
605C4⋊C4×C59C2411yescharacteristic
606C4⋊C4×C59C2411yescharacteristic
607C22⋊C4×C59—21no—
608C22⋊C4×C59—21no—
609C22⋊C4×C59—21no—
610C22⋊C4×C59—21no—
611C22⋊C4×C59—21no—
612C22⋊C4×C59—21no—
613C22⋊C4×C59—21no—
614C22⋊C4×C59—21no—
615C22⋊C4×C59—21no—
616C22⋊C4×C59—21no—
617C22⋊C4×C59—21no—
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59C2×D411yescharacteristic
624C22⋊C4×C59C2×D411yescharacteristic
625C22⋊C4×C59C2×D411yescharacteristic
626C22⋊C4×C59C2×D411yescharacteristic
627C22⋊C4×C59C2×D411yescharacteristic
628C22⋊C4×C59C2×D411yescharacteristic
629C22⋊C4×C59C2×D411yescharacteristic
630C22⋊C4×C59C2×D411yescharacteristic
631C22⋊C4×C59C2×D411yescharacteristic
632C22⋊C4×C59C2×D411yescharacteristic
633C42×C59—21no—
634C42×C59—21no—
635C42×C59—21no—
636C42×C59—21no—
637C42×C59—21no—
638C42×C59—21no—
639C42×C59—21no—
640C42×C59—21no—
641C42×C59C2×D411yescharacteristic
642C42×C59C2×D411yescharacteristic
643C42×C59C2411yescharacteristic
644C42×C59C2411yescharacteristic
645C42×C59C2411yescharacteristic
646C42×C59C2411yescharacteristic
647C22⋊Dic59—21no—
648#11745672—22no—
649#11745672—41no—
650#11745671—22no—
651#11745671—22no—
652#11745671—22no—
653#11745671—22no—
654#11745671—22no—
655#11745671—41no—
656#11745671—41no—
657#11745671—41no—
658#11745671—41no—
659#11745671—41no—
660#11745670—41no—
661#11745670—41no—
662#11745669—41no—
663#11745669—41no—
664#11745669—41no—
665#11745669—41no—
666#11745669—41no—
667#11745669—41no—
668#11745669—41no—
669#11745669—41no—
670#11745669—41no—
671#11745669—41no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊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—
688C4⋊Dic59C2411yescharacteristic
689C4⋊Dic59C2411yescharacteristic
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4—21no—
694C4×Dic59—21no—
695#11745664—41no—
696#11745664—41no—
697#11745664—41no—
698#11745664—41no—
699C2×C59⋊C8—41no—
700C2×C59⋊C8—41no—
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704C2×C59⋊C8C2411yescharacteristic
705C2×C59⋊C8C2411yescharacteristic
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C23×C59—21no—
710C23×C59—21no—
711C23×C59C22×D411yescharacteristic
712C23×C59C22×D411yescharacteristic
713C23×C59C22×D411yescharacteristic
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—21no—
718C22×D59—21no—
719C22×D59—42no—
720C22×D59—42no—
721C22×D59—81no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—81no—
730C22×D59—81no—
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—21no—
734Q8×C59—41no—
735Q8×C59—42no—
736Q8×C59—81no—
737Q8×C59H(5,𝔽2)12yes—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—41no—
743D4×C59—41no—
744D4×C59—41no—
745D4×C59—42no—
746D4×C59—42no—
747D4×C59—81no—
748D4×C59—81no—
749D4×C59—81no—
750D4×C59—81no—
751D4×C59—81no—
752D4×C59—81no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—41no—
766C2×C4×C59—41no—
767C2×C4×C59—42no—
768C2×C4×C59—42no—
769C2×C4×C59—42no—
770C2×C4×C59—81no—
771C2×C4×C59—81no—
772C2×C4×C59—81no—
773C2×C4×C59—81no—
774C2×C4×C59—81no—
775C2×C4×C59C22×D411yescharacteristic
776C2×C4×C59C22×D411yescharacteristic
777C2×C4×C59C22×D411yescharacteristic
778C2×C4×C59C22×D411yescharacteristic
779C2×C4×C59C22×D411yescharacteristic
780C2×C4×C59C22×D411yescharacteristic
781C2×C4×C59C22×D411yescharacteristic
782C2×C4×C59C22×D411yescharacteristic
783C2×C4×C59C22×D411yescharacteristic
784C2×C4×C59C22×D411yescharacteristic
785C2×C4×C59C22×D411yescharacteristic
786C2×C4×C59C2511yescharacteristic
787C22⋊D59—42no—
788C22⋊D59—81no—
789C22⋊D59—81no—
790C22⋊D59—81no—
791C22⋊D59—81no—
792C22⋊D59—81no—
793C22⋊D59—81no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—21no—
797D236—21no—
798D236—21no—
799D236—21no—
800D236—21no—
801D236—21no—
802D236—21no—
803D236—21no—
804D236—21no—
805D236—21no—
806D236—21no—
807D236—42no—
808D236—42no—
809D236—81no—
810D236—81no—
811D236—81no—
812D236—81no—
813D236—81no—
814D236—81no—
815D236—81no—
816D236—81no—
817D236—81no—
818D236—81no—
819D236—81no—
820D236—81no—
821D236—81no—
822D236—81no—
823C4×D59—42no—
824C4×D59—81no—
825C4×D59—81no—
826C4×D59—81no—
827C4×D59—81no—
828C4×D59—81no—
829C4×D59—81no—
830Dic118—21no—
831Dic118—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835C59⋊C8—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62081—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—21no—
845C22×C59—21no—
846C22×C59—21no—
847C22×C59—21no—
848C22×C59—21no—
849C22×C59—21no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59C23×D411yescharacteristic
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—162no—
873C2×D59—162no—
874C2×D59—162no—
875C2×D59—162no—
876C4×C59—21no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—21no—
882C4×C59—21no—
883C4×C59—21no—
884C4×C59—21no—
885C4×C59—21no—
886C4×C59—21no—
887C4×C59—22no—
888C4×C59—41no—
889C4×C59—41no—
890C4×C59—41no—
891C4×C59—41no—
892C4×C59—41no—
893C4×C59C2×H(5,𝔽2)11yescharacteristic
894C4×C59#58511yescharacteristic
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898#3543—591no—
899#3524D5911yescharacteristic, complemented
900#3403—591no—
901#3399—591no—
902#3371—591no—
903#3368—591no—
904#3325—591no—
905#3323—591no—
906#3319—591no—
907#3318—591no—
908#3310—591no—
909#3309—591no—
910#3275—591no—
911#3274—591no—
912#3271—591no—
913#3268—591no—
914#3265—591no—
915#3265—591no—
916#3259—591no—
917#3257—591no—
918#3256—591no—
919#3224—591no—
920#3220—591no—
921#3217—591no—
922#3126—591no—
923#3119—591no—
924#3111—591no—
925#3045—591no—
926#3043—591no—
927#3038—591no—
928#2995—591no—
929C2×C59—41no—
930C2×C59—41no—
931C2×C59—41no—
932C2×C59—81no—
933C2×C59—81no—
934C2×C59#348811yescharacteristic
935C2×C59#358511yescharacteristic
936C2×C59#358511yescharacteristic
937D59—81no—
938D59—81no—
939D59—81no—
940D59—81no—
941D59—81no—
942C2×#137—591no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×#135—591no—
947C22×SD16—591no—
948#560—1181no—
949#560—1181no—
950#559—21no—
951#559—591no—
952#559C2×D5911yescharacteristic, complemented
953#557C2×D5911yescharacteristic, complemented
954#555—21no—
955#555C2×D5911yescharacteristic, complemented
956#553—21no—
957#553C2×D5911yescharacteristic, complemented
958#552—21no—
959#552C2×D5911yescharacteristic, complemented
960#550—591no—
961#550—591no—
962#550C2×D5911yescharacteristic, complemented
963#548C2×D5911yescharacteristic, complemented
964#548C2×D5911yescharacteristic, complemented
965#546—591no—
966#546—591no—
967#546—1181no—
968D42—591no—
969D42—591no—
970D42—591no—
971D42—1181no—
972#542—21no—
973#542C2×D5911yescharacteristic, complemented
974#540—21no—
975#540—591no—
976#540—591no—
977#540—1181no—
978#540C2×D5911yescharacteristic, complemented
979#535—591no—
980#535—591no—
981#535—1181no—
982#534—1181no—
983#534—1181no—
984C2×#127—591no—
985#529—21no—
986#529—21no—
987#529—591no—
988#529C2×D5911yescharacteristic
989#529C2×D5911yescharacteristic, complemented
990#520C2×D5911yescharacteristic, complemented
991#519C2×D5911yescharacteristic, complemented
992C4×#41C2×D5911yescharacteristic, complemented
993#496—591no—
994#496—591no—
995#496—591no—
996#496—591no—
997#495—591no—
998#493—591no—
999#490—591no—
1000#490—591no—
1001#490—591no—
1002#489—591no—
1003#488—591no—
1004#486—591no—
1005#485—591no—
1006#482—591no—
1007#482—591no—
1008#482—591no—
1009#481—591no—
1010#480—591no—
1011#479—591no—
1012#479—591no—
1013#479—591no—
1014#478—591no—
1015#478—591no—
1016#478—591no—
1017#478—591no—
1018#478—591no—
1019#476—591no—
1020#474—591no—
1021#470—591no—
1022#469—591no—
1023#469—591no—
1024#469—591no—
1025#469—591no—
1026#468—591no—
1027#468—591no—
1028#468—591no—
1029#466—591no—
1030#466—591no—
1031#466—591no—
1032#465—591no—
1033#464—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464—591no—
1038#464—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#460—591no—
1046#460—591no—
1047#460—591no—
1048#460—591no—
1049#460—591no—
1050#460—591no—
1051#460—591no—
1052#460—591no—
1053#460—591no—
1054#459—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459—591no—
1062#459—591no—
1063#452—591no—
1064#452—591no—
1065#450—591no—
1066#450—591no—
1067#450—591no—
1068#449—591no—
1069#449—591no—
1070#449—591no—
1071#449—591no—
1072#449—591no—
1073#449—591no—
1074#448—591no—
1075#448—591no—
1076#447—591no—
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#447—591no—
1081#446—591no—
1082#446—591no—
1083#442—591no—
1084#442—591no—
1085#441—591no—
1086#440—591no—
1087#440—591no—
1088#440—591no—
1089#440—591no—
1090#440—591no—
1091C4×SD16—591no—
1092C4×SD16—591no—
1093C4×SD16—591no—
1094C4×D8—591no—
1095#436—591no—
1096#436—591no—
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101#433—591no—
1102#433—591no—
1103#432—591no—
1104#424—591no—
1105#424—591no—
1106#423—591no—
1107#418—591no—
1108#418—591no—
1109#418—591no—
1110#417—591no—
1111#416—591no—
1112C2×#102—591no—
1113C59#6208111yescharacteristic, complemented, Sylow
1114C2×#41—591no—
1115C2×#41—591no—
1116C2×#41—1181no—
1117C2×#41C22×D5911yescharacteristic
1118C2×#41C22×D5911yescharacteristic
1119C22×Q8C22×D5911yescharacteristic
1120C22×D4—591no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—1181no—
1125C22×D4—1181no—
1126C22×D4—1181no—
1127C22×D4—1181no—
1128C22×D4—1181no—
1129#137—2362no—
1130AGL(1,ℤ/8)—2362no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133#135—2362no—
1134C2×Q16—591no—
1135C2×Q16—591no—
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16—591no—
1145C2×SD16—591no—
1146C2×SD16—591no—
1147C2×SD16—591no—
1148C2×SD16—2362no—
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—591no—
1157C2×D8—591no—
1158C2×D8—591no—
1159C2×M16—591no—
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16—591no—
1163C22×C8—591no—
1164C22×C8—591no—
1165C4⋊Q8—21no—
1166C4⋊Q8C22×D5911yescharacteristic
1167#127—21no—
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—591no—
1173#127—591no—
1174#127—1181no—
1175#127—1181no—
1176#127—1181no—
1177#127C22×D5911yescharacteristic
1178#126—21no—
1179#126—21no—
1180#126—21no—
1181#126—21no—
1182#126—1181no—
1183#126C22⋊D5911yescharacteristic
1184#126C22⋊D5911yescharacteristic
1185#125—21no—
1186#125—21no—
1187#125—21no—
1188#125—591no—
1189#125C22⋊D5911yescharacteristic
1190#125C22×D5911yescharacteristic
1191#125C22×D5911yescharacteristic
1192#124—21no—
1193#124—21no—
1194#124—21no—
1195#124—21no—
1196#124—21no—
1197#124—21no—
1198#124—591no—
1199#124—591no—
1200#124—591no—
1201#124—1181no—
1202#124C22⋊D5911yescharacteristic
1203#124C22×D5911yescharacteristic
1204#124C22×D5911yescharacteristic
1205#123—21no—
1206#123—21no—
1207#123—21no—
1208#123—21no—
1209#123—21no—
1210#123—21no—
1211#123—21no—
1212#123—21no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123C22⋊D5911yescharacteristic
1223#123C22⋊D5911yescharacteristic
1224C22⋊Q8—21no—
1225C22⋊Q8—21no—
1226C22⋊Q8—21no—
1227C22⋊Q8—591no—
1228C22⋊Q8C22⋊D5911yescharacteristic
1229C22⋊Q8C22×D5911yescharacteristic
1230C22⋊Q8C22×D5911yescharacteristic
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—21no—
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#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121C22⋊D5911yescharacteristic
1263#121C22×D5911yescharacteristic
1264#121C22×D5911yescharacteristic
1265#121C22×D5911yescharacteristic
1266#121C22×D5911yescharacteristic
1267#120—1181no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279C4×Q8—21no—
1280C4×Q8—21no—
1281C4×Q8—21no—
1282C4×Q8—591no—
1283C4×Q8C22×D5911yescharacteristic
1284C4×Q8C22×D5911yescharacteristic
1285C4×Q8C22×D5911yescharacteristic
1286C4×Q8C22×D5911yescharacteristic
1287C4×Q8C22×D5911yescharacteristic
1288C4×Q8C22×D5911yescharacteristic
1289C4×Q8C22×D5911yescharacteristic
1290C4×D4—21no—
1291C4×D4—21no—
1292C4×D4—21no—
1293C4×D4—21no—
1294C4×D4—21no—
1295C4×D4—21no—
1296C4×D4—21no—
1297C4×D4—21no—
1298C4×D4—21no—
1299C4×D4—21no—
1300C4×D4—591no—
1301C4×D4—591no—
1302C4×D4—591no—
1303C4×D4—591no—
1304C4×D4—591no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4C22×D5911yescharacteristic
1309C4×D4C22×D5911yescharacteristic
1310C4×D4C22×D5911yescharacteristic
1311C4×D4C22×D5911yescharacteristic
1312C4×D4C22×D5911yescharacteristic
1313C4×D4C22×D5911yescharacteristic
1314C4×D4C22×D5911yescharacteristic
1315#117—21no—
1316#117—21no—
1317#117—21no—
1318#117—21no—
1319#117—21no—
1320#117—21no—
1321#117—21no—
1322#117—1181no—
1323#117C22×D5911yescharacteristic
1324#117C22×D5911yescharacteristic
1325#117C22×D5911yescharacteristic
1326#117C22×D5911yescharacteristic
1327C2×C4⋊C4—21no—
1328C2×C4⋊C4C22×D5911yescharacteristic
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C42—21no—
1332C2×C42C22×D5911yescharacteristic
1333#107—591no—
1334#107—591no—
1335#107—591no—
1336#107—591no—
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341C4⋊C8—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8—591no—
1349C4⋊C8—591no—
1350C4⋊C8—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—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#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8—591no—
1388C22⋊C8—591no—
1389#97—591no—
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393C4×C8—591no—
1394C4×C8—591no—
1395C24—1181no—
1396C24—1181no—
1397C24—1181no—
1398C24—1181no—
1399#41—22no—
1400#41—22no—
1401#41—41no—
1402#41—41no—
1403#41—4722no—
1404#41—2361no—
1405#41—2361no—
1406#41—2361no—
1407#41—2361no—
1408C2×Q8—21no—
1409C2×Q8—21no—
1410C2×Q8—22no—
1411C2×Q8—41no—
1412C2×Q8—591no—
1413C2×Q8C2×C22⋊D5911yescharacteristic
1414C2×Q8C23×D5911yescharacteristic
1415C2×Q8C23×D5911yescharacteristic
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—591no—
1425C2×D4—591no—
1426C2×D4—591no—
1427C2×D4—591no—
1428C2×D4—591no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—4722no—
1453C2×D4—4722no—
1454C2×D4—4722no—
1455C2×D4—4722no—
1456C2×D4—4722no—
1457C2×D4—2361no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4—2361no—
1465C2×D4C2×C22⋊D5911yescharacteristic
1466C2×D4C2×C22⋊D5911yescharacteristic
1467C2×D4C2×C22⋊D5911yescharacteristic
1468C2×D4C23×D5911yescharacteristic
1469C2×D4C23×D5911yescharacteristic
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—21no—
1474C22×C4—21no—
1475C22×C4—21no—
1476C22×C4—21no—
1477C22×C4—21no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4C2×C22⋊D5911yescharacteristic
1486C22×C4C2×C22⋊D5911yescharacteristic
1487C22×C4C23×D5911yescharacteristic
1488C22×C4C23×D5911yescharacteristic
1489C22×C4C23×D5911yescharacteristic
1490Q16—1182no—
1491Q16—2361no—
1492SD16—1182no—
1493SD16—1182no—
1494SD16—1182no—
1495SD16—1182no—
1496SD16—1182no—
1497SD16—2361no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502SD16—2361no—
1503SD16—2361no—
1504D8—2361no—
1505D8—2361no—
1506D8—2361no—
1507D8—2361no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513D8—2361no—
1514M16—2361no—
1515M16—2361no—
1516M16—2361no—
1517M16—2361no—
1518C2×C8—591no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—591no—
1523C2×C8—591no—
1524C2×C8—591no—
1525C2×C8—591no—
1526C2×C8—2361no—
1527C2×C8—2361no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—21no—
1533C4⋊C4—21no—
1534C4⋊C4—21no—
1535C4⋊C4—21no—
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—591no—
1543C4⋊C4—591no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4C2×C22⋊D5911yescharacteristic
1549C4⋊C4C2×C22⋊D5911yescharacteristic
1550C4⋊C4C2×C22⋊D5911yescharacteristic
1551C4⋊C4C2×C22⋊D5911yescharacteristic
1552C4⋊C4C2×C22⋊D5911yescharacteristic
1553C4⋊C4C2×C22⋊D5911yescharacteristic
1554C4⋊C4C2×C22⋊D5911yescharacteristic
1555C4⋊C4C2×C22⋊D5911yescharacteristic
1556C4⋊C4C2×C22⋊D5911yescharacteristic
1557C4⋊C4C2×C22⋊D5911yescharacteristic
1558C4⋊C4C23×D5911yescharacteristic
1559C4⋊C4C23×D5911yescharacteristic
1560C4⋊C4C23×D5911yescharacteristic
1561C4⋊C4C23×D5911yescharacteristic
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
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⋊C4C2×C22⋊D5911yescharacteristic
1596C22⋊C4C2×C22⋊D5911yescharacteristic
1597C22⋊C4C2×C22⋊D5911yescharacteristic
1598C22⋊C4C2×C22⋊D5911yescharacteristic
1599C22⋊C4C2×C22⋊D5911yescharacteristic
1600C22⋊C4C2×C22⋊D5911yescharacteristic
1601C22⋊C4C2×C22⋊D5911yescharacteristic
1602C22⋊C4C2×C22⋊D5911yescharacteristic
1603C22⋊C4C2×C22⋊D5911yescharacteristic
1604C22⋊C4C2×C22⋊D5911yescharacteristic
1605C42—21no—
1606C42—21no—
1607C42—21no—
1608C42—21no—
1609C42—21no—
1610C42—21no—
1611C42—21no—
1612C42—21no—
1613C42—1181no—
1614C42C2×C22⋊D5911yescharacteristic
1615C42C2×C22⋊D5911yescharacteristic
1616C42C23×D5911yescharacteristic
1617C42C23×D5911yescharacteristic
1618C42C23×D5911yescharacteristic
1619C42C23×D5911yescharacteristic
1620C23—21no—
1621C23—21no—
1622C23—1181no—
1623C23—1181no—
1624C23—1181no—
1625C23—1181no—
1626C23—1181no—
1627C23—4721no—
1628C23—4721no—
1629C23—4721no—
1630C23—4721no—
1631C23—4721no—
1632C23—4721no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—2362no—
1638C23—2362no—
1639C23C22×C22⋊D5911yescharacteristic
1640C23C22×C22⋊D5911yescharacteristic
1641C23C22×C22⋊D5911yescharacteristic
1642Q8—21no—
1643Q8—21no—
1644Q8—21no—
1645Q8—41no—
1646Q8—42no—
1647Q8—81no—
1648Q8—1181no—
1649Q8—1181no—
1650Q8#1427377312yes—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—41no—
1656D4—41no—
1657D4—41no—
1658D4—42no—
1659D4—42no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4—81no—
1666D4—1181no—
1667D4—1181no—
1668D4—1181no—
1669D4—1181no—
1670D4—1181no—
1671D4—1181no—
1672D4—1181no—
1673D4—1181no—
1674D4—1181no—
1675D4—1181no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—4721no—
1687D4—4721no—
1688D4—4721no—
1689D4—4721no—
1690D4—4721no—
1691D4—4721no—
1692D4—4721no—
1693D4—4721no—
1694D4—4721no—
1695D4—4721no—
1696D4—2362no—
1697D4—2362no—
1698D4—2362no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—42no—
1714C2×C4—42no—
1715C2×C4—42no—
1716C2×C4—81no—
1717C2×C4—81no—
1718C2×C4—81no—
1719C2×C4—81no—
1720C2×C4—81no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—2362no—
1731C2×C4C22×C22⋊D5911yescharacteristic
1732C2×C4C22×C22⋊D5911yescharacteristic
1733C2×C4C22×C22⋊D5911yescharacteristic
1734C2×C4C22×C22⋊D5911yescharacteristic
1735C2×C4C22×C22⋊D5911yescharacteristic
1736C2×C4C22×C22⋊D5911yescharacteristic
1737C2×C4C22×C22⋊D5911yescharacteristic
1738C2×C4C22×C22⋊D5911yescharacteristic
1739C2×C4C22×C22⋊D5911yescharacteristic
1740C2×C4C22×C22⋊D5911yescharacteristic
1741C2×C4C22×C22⋊D5911yescharacteristic
1742C2×C4C24×D5911yescharacteristic
1743C8—1181no—
1744C8—1181no—
1745C8—1181no—
1746C8—1181no—
1747C8—1181no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—21no—
1756C22—21no—
1757C22—21no—
1758C22—21no—
1759C22—21no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—9442no—
1767C22—9442no—
1768C22—9442no—
1769C22—9442no—
1770C22—2361no—
1771C22—2361no—
1772C22—2361no—
1773C22—2361no—
1774C22—2361no—
1775C22—2361no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22C23×C22⋊D5911yescharacteristic
1786C4—21no—
1787C4—21no—
1788C4—21no—
1789C4—22no—
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—21no—
1794C4—21no—
1795C4—21no—
1796C4—21no—
1797C4—21no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4C2×#1427377311yescharacteristic
1807C4#1683823811yescharacteristic
1808C2—41no—
1809C2—41no—
1810C2—41no—
1811C2—81no—
1812C2—81no—
1813C2—4721no—
1814C2—4721no—
1815C2—4721no—
1816C2—4721no—
1817C2—4721no—
1818C2#2143776511yescharacteristic
1819C2#2143887511yescharacteristic
1820C2#2143887511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3524C2
socleC22×C59C23×D4
hypercenter#3524D59
hypocenterC59#62081
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #529 ◁ #3524

Complements

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

NH ≅ G/Ntype
1. #21438426C2semidirect
2. #21437180C2semidirect
3. #21437134C2semidirect
4. #21436864C2semidirect
5. #21436825C2semidirect
6. #21436332C2semidirect
7. #21436306C2semidirect
8. #21436246C2semidirect
9. #21436231C2semidirect
10. #21436111C2semidirect
11. #21436096C2semidirect
12. #21435728C2semidirect
13. #21435716C2semidirect
14. #21435682C2semidirect
15. #21435637C2semidirect
16. #21435592C2semidirect
17. #21435592C2semidirect
18. #21435531C2semidirect
19. #21435507C2semidirect
20. #21435492C2semidirect
21. #21435184C2semidirect
22. #21435140C2semidirect
23. #21435111C2semidirect
24. #21434387C2semidirect
25. #21434295C2semidirect
26. #21434205C2semidirect
27. #21433635C2semidirect
28. #21433617C2semidirect
29. #21433576C2semidirect
30. #21433266C2semidirect
31. C59×#3524C2semidirect
32. C2×#14273758C22semidirect
33. C2×#14273752C22semidirect
34. C2×#14273752C22semidirect
35. C2×#14273752C22semidirect
36. C2×#14273747C22semidirect
37. C22×#11745671C22semidirect
61. #16837792C22semidirect
62. #16837792C22semidirect
63. #16837789C22semidirect
64. #16837784C22semidirect
65. #16837778C22semidirect
67. #16837768C22semidirect
68. #16837768C22semidirect
69. #16837764C22semidirect
70. #16837759C22semidirect
71. #16837750C22semidirect
72. #16837743C22semidirect
74. #16837726C22semidirect
75. #16837726C22semidirect
76. #16837720C22semidirect
77. #16837715C22semidirect
78. #16837709C22semidirect
79. #16837709C22semidirect
80. #16837706C22semidirect
81. #16837702C22semidirect
82. #16837702C22semidirect
83. #16837699C22semidirect
84. #16837699C22semidirect
85. #16837699C22semidirect
86. #16837689C22semidirect
87. #16837679C22semidirect
88. #16837658C22semidirect
90. #16837653C22semidirect
91. #16837653C22semidirect
92. #16837653C22semidirect
94. #16837650C22semidirect
95. #16837646C22semidirect
96. #16837636C22semidirect
97. #16837636C22semidirect
98. #16837636C22semidirect
99. #16837633C22semidirect
100. #16837624C22semidirect
101. #16837624C22semidirect
102. #16837624C22semidirect
103. #16837624C22semidirect
104. #16837624C22semidirect
105. #16837621C22semidirect
106. #16837617C22semidirect
107. #16837617C22semidirect
108. #16837617C22semidirect
109. #16837614C22semidirect
110. #16837614C22semidirect
111. #16837614C22semidirect
113. #16837602C22semidirect
114. #16837602C22semidirect
115. #16837602C22semidirect
116. #16837602C22semidirect
117. #16837602C22semidirect
118. #16837602C22semidirect
119. #16837602C22semidirect
120. #16837602C22semidirect
122. #16837597C22semidirect
123. #16837597C22semidirect
124. #16837597C22semidirect
125. #16837597C22semidirect
126. #16837597C22semidirect
127. #16837597C22semidirect
128. #16837594C22semidirect
129. #16837594C22semidirect
130. #16837564C22semidirect
131. #16837562C22semidirect
132. #16837552C22semidirect
133. #16837552C22semidirect
134. #16837552C22semidirect
136. #16837547C22semidirect
137. #16837547C22semidirect
138. #16837545C22semidirect
139. #16837545C22semidirect
140. #16837545C22semidirect
141. #16837541C22semidirect
142. #16837541C22semidirect
143. #16837535C22semidirect
144. #16837535C22semidirect
145. #16837535C22semidirect
146. #16837535C22semidirect
147. #16837535C22semidirect
148. #16837533C22semidirect
149. #16837533C22semidirect
150. #16837512C22semidirect
151. #16837512C22semidirect
152. #16837507C22semidirect
153. #16837502C22semidirect
154. #16837500C22semidirect
155. #16837500C22semidirect
156. #16837500C22semidirect
157. #16837500C22semidirect
158. C4×#11745671C22semidirect
159. C4×#11745671C22semidirect
160. C4×#11745671C22semidirect
161. C4×#11745669C22semidirect
162. #16837480C22semidirect
163. #16837480C22semidirect
164. #16837474C22semidirect
165. #16837474C22semidirect
166. #16837474C22semidirect
167. #16837474C22semidirect
168. #16837463C22semidirect
169. #16837463C22semidirect
170. #16837459C22semidirect
171. #16837429C22semidirect
172. #16837429C22semidirect
173. #16837426C22semidirect
174. #16837406C22semidirect
175. #16837406C22semidirect
176. #16837406C22semidirect
177. #16837401C22semidirect
178. #16837396C22semidirect
179. C2×#14273647C22semidirect
181. C59×#559C22semidirect
182. C59×#557C22semidirect
184. C59×#555C22semidirect
186. C59×#553C22semidirect
188. C59×#552C22semidirect
189. C59×#550C22semidirect
190. C59×#548C22semidirect
191. C59×#548C22semidirect
193. C59×#542C22semidirect
195. C59×#540C22semidirect
199. C59×#529C22semidirect
200. C59×#520C22semidirect
201. C59×#519C22semidirect
202. C4×#41×C59C22semidirect
899. #3524D59semidirect
952. #559C2×D59semidirect
953. #557C2×D59semidirect
955. #555C2×D59semidirect
957. #553C2×D59semidirect
959. #552C2×D59semidirect
962. #550C2×D59semidirect
963. #548C2×D59semidirect
964. #548C2×D59semidirect
973. #542C2×D59semidirect
978. #540C2×D59semidirect
989. #529C2×D59semidirect
990. #520C2×D59semidirect
991. #519C2×D59semidirect
992. C4×#41C2×D59semidirect
1113. C59#62081semidirect

Maximal subgroups

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

subgroupindex
#214384262
#214371802
#214371342
#214368642
#214368252
#214363322
#214363062
#214362462
#214362312
#214361112
#214360962
#214357282
#214357162
#214356822
#214356372
#214355922
#214355312
#214355072
#214354922
#214351842
#214351402
#214351112
#214343872
#214342952
#214342052
#214336352
#214336172
#214335762
#214332662
C59×#35242
#6208159