Finite Group Databasebeta

← #29483964

Subgroups — #29483964

Order 15104.

1906 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#21438470C211yesmaximal, characteristic, complemented
2#21437156C211yesmaximal, characteristic, complemented
3#21437134C211yesmaximal, characteristic, complemented
4#21436923C211yesmaximal, characteristic, complemented
5#21436803C211yesmaximal, characteristic, complemented
6#21436417C211yesmaximal, characteristic, complemented
7#21436306C211yesmaximal, characteristic, complemented
8#21436231C211yesmaximal, characteristic, complemented
9#21436216C211yesmaximal, characteristic, complemented
10#21436066C211yesmaximal, characteristic, complemented
11#21436051C211yesmaximal, characteristic, complemented
12#21435712C211yesmaximal, characteristic, complemented
13#21435703C211yesmaximal, characteristic, complemented
14#21435632C211yesmaximal, characteristic, complemented
15#21435617C211yesmaximal, characteristic, complemented
16#21435577C211yesmaximal, characteristic, complemented
17#21435572C211yesmaximal, characteristic, complemented
18#21435561C211yesmaximal, characteristic, complemented
19#21435501C211yesmaximal, characteristic, complemented
20#21435458C211yesmaximal, characteristic, complemented
21#21435184C211yesmaximal, characteristic, complemented
22#21435140C211yesmaximal, characteristic, complemented
23#21435129C211yesmaximal, characteristic, complemented
24#21434373C211yesmaximal, characteristic, complemented
25#21434280C211yesmaximal, characteristic, complemented
26#21434187C211yesmaximal, characteristic, complemented
27#21433635C211yesmaximal, characteristic, complemented
28#21433599C211yesmaximal, characteristic, complemented
29#21433560C211yesmaximal, characteristic, complemented
30#21433266C211yesmaximal, characteristic, complemented
31C59×#3513C211yesmaximal, characteristic, complemented
32C2×#14273753C2211yescharacteristic, complemented
33C2×#14273753C2211yescharacteristic, complemented
34C2×#14273753C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic
36C2×#14273747C2211yescharacteristic, complemented
37C22×#11745669C2211yescharacteristic
38#16838142—21no—
39#16838142—21no—
40#16838125C2211yescharacteristic, complemented
41#16838105—21no—
42#16838074C2211yescharacteristic, complemented
43#16838073C2211yescharacteristic
44#16838073C2211yescharacteristic, complemented
45#16838057C2211yescharacteristic, complemented
46#16838048C2211yescharacteristic
47#16838048C2211yescharacteristic, complemented
48#16838045—21no—
49D4×D236C2211yescharacteristic, complemented
50#16838023C2211yescharacteristic, complemented
51#16838023C2211yescharacteristic, complemented
52#16837991—21no—
53#16837991—21no—
54#16837982—21no—
55#16837971C2211yescharacteristic, complemented
56#16837971C2211yescharacteristic, complemented
57#16837968—21no—
58#16837952C2211yescharacteristic, complemented
59#16837952C2211yescharacteristic, complemented
60#16837797C2211yescharacteristic, complemented
61#16837792C2211yescharacteristic, complemented
62#16837792C2211yescharacteristic, complemented
63#16837789C2211yescharacteristic
64#16837784C2211yescharacteristic, complemented
65#16837778C2211yescharacteristic, complemented
66#16837772C2211yescharacteristic, complemented
67#16837768C2211yescharacteristic, complemented
68#16837768C2211yescharacteristic, complemented
69#16837764C2211yescharacteristic, complemented
70#16837759C2211yescharacteristic, complemented
71#16837750C2211yescharacteristic, complemented
72#16837743C2211yescharacteristic, complemented
73#16837732C2211yescharacteristic, complemented
74#16837726C2211yescharacteristic, complemented
75#16837720C2211yescharacteristic, complemented
76#16837720C2211yescharacteristic, complemented
77#16837720C2211yescharacteristic, complemented
78#16837706C2211yescharacteristic, complemented
79#16837699C2211yescharacteristic, complemented
80#16837699C2211yescharacteristic, complemented
81#16837699C2211yescharacteristic, complemented
82#16837692C2211yescharacteristic, complemented
83#16837692C2211yescharacteristic, complemented
84#16837689C2211yescharacteristic, complemented
85#16837687C2211yescharacteristic, complemented
86#16837684C2211yescharacteristic, complemented
87#16837682C2211yescharacteristic, complemented
88#16837658C2211yescharacteristic, complemented
89#16837653C2211yescharacteristic
90#16837653C2211yescharacteristic
91#16837653C2211yescharacteristic, complemented
92#16837653C2211yescharacteristic, complemented
93#16837650C2211yescharacteristic, complemented
94#16837650C2211yescharacteristic, complemented
95#16837646C2211yescharacteristic, complemented
96#16837636C2211yescharacteristic, complemented
97#16837633C2211yescharacteristic, complemented
98#16837629C2211yescharacteristic, complemented
99#16837629C2211yescharacteristic, complemented
100#16837624C2211yescharacteristic, complemented
101#16837624C2211yescharacteristic, complemented
102#16837624C2211yescharacteristic, complemented
103#16837621C2211yescharacteristic, complemented
104#16837617C2211yescharacteristic
105#16837617C2211yescharacteristic
106#16837617C2211yescharacteristic, complemented
107#16837617C2211yescharacteristic, complemented
108#16837617C2211yescharacteristic, complemented
109#16837617C2211yescharacteristic, complemented
110#16837617C2211yescharacteristic, complemented
111#16837617C2211yescharacteristic, complemented
112#16837617C2211yescharacteristic, complemented
113#16837614C2211yescharacteristic, complemented
114#16837614C2211yescharacteristic, complemented
115#16837614C2211yescharacteristic, complemented
116#16837607C2211yescharacteristic, complemented
117#16837607C2211yescharacteristic, complemented
118#16837602C2211yescharacteristic, complemented
119#16837602C2211yescharacteristic, complemented
120#16837599C2211yescharacteristic, complemented
121#16837597C2211yescharacteristic
122#16837597C2211yescharacteristic
123#16837597C2211yescharacteristic, complemented
124#16837597C2211yescharacteristic, complemented
125#16837597C2211yescharacteristic, complemented
126#16837597C2211yescharacteristic, complemented
127#16837597C2211yescharacteristic, complemented
128#16837597C2211yescharacteristic, complemented
129#16837594C2211yescharacteristic, complemented
130#16837564C2211yescharacteristic, complemented
131#16837562C2211yescharacteristic, complemented
132#16837562C2211yescharacteristic, complemented
133#16837562C2211yescharacteristic, complemented
134#16837553C2211yescharacteristic, complemented
135#16837552C2211yescharacteristic, complemented
136#16837547C2211yescharacteristic
137#16837545C2211yescharacteristic, complemented
138#16837545C2211yescharacteristic, complemented
139#16837545C2211yescharacteristic, complemented
140#16837545C2211yescharacteristic, complemented
141#16837545C2211yescharacteristic, complemented
142#16837536C2211yescharacteristic
143#16837536C2211yescharacteristic
144#16837536C2211yescharacteristic, complemented
145#16837535C2211yescharacteristic
146#16837535C2211yescharacteristic, complemented
147#16837535C2211yescharacteristic, complemented
148#16837533C2211yescharacteristic, complemented
149#16837533C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic
151#16837512C2211yescharacteristic, complemented
152#16837512C2211yescharacteristic, complemented
153#16837512C2211yescharacteristic, complemented
154#16837512C2211yescharacteristic, complemented
155#16837512C2211yescharacteristic, complemented
156#16837507C2211yescharacteristic, complemented
157#16837502C2211yescharacteristic, complemented
158C4×#11745671C2211yescharacteristic, complemented
159C4×#11745670C2211yescharacteristic, complemented
160C4×#11745670C2211yescharacteristic, 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#16837401C2211yescharacteristic, complemented
176#16837401C2211yescharacteristic, complemented
177#16837401C2211yescharacteristic, complemented
178#16837396C2211yescharacteristic, complemented
179C2×#14273647C2211yescharacteristic, complemented
180C59×#559C2211yescharacteristic, complemented
181C59×#554C2211yescharacteristic, complemented
182C59×#553—21no—
183C59×#553C2211yescharacteristic
184C59×#552C2211yescharacteristic, complemented
185C59×#551—21no—
186C59×#551—21no—
187C59×#547C2211yescharacteristic, complemented
188C59×#546—21no—
189C59×#546C2211yescharacteristic
190C59×#546C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic, complemented
192C59×#542C2211yescharacteristic, complemented
193C59×#540C2211yescharacteristic, complemented
194C59×#539—21no—
195C59×#538—21no—
196C59×#529C2211yescharacteristic
197C59×#529C2211yescharacteristic, complemented
198C59×#525—21no—
199C2×#123×C59—21no—
200C59×#520C2211yescharacteristic, complemented
201C59×#518C2211yescharacteristic, complemented
202C2×C4×D4×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C2×D4×D59—21no—
212#14273753—42no—
213#14273753—42no—
214#14273753—42no—
215#14273752—42no—
216#14273747—42no—
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745669—42no—
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745664C2311yescharacteristic
243C2×#11745664C2311yescharacteristic
244C2×#11745664C2311yescharacteristic
245C2×#11745664C2311yescharacteristic
246C22×C59⋊C8C2311yescharacteristic
247C22×C59⋊C8C2311yescharacteristic
248#14273727C2311yescharacteristic
249#14273727C2311yescharacteristic
250#14273724C2311yescharacteristic
251#14273724C2311yescharacteristic
252#14273724C2311yescharacteristic
253#14273724C2311yescharacteristic
254#14273723—21no—
255#14273723—21no—
256#14273722—21no—
257#14273722—21no—
258#14273722—21no—
259#14273722—21no—
260#14273715—21no—
261#14273715C2311yescharacteristic
262#14273715C2311yescharacteristic
263#14273715C2311yescharacteristic
264#14273715C2311yescharacteristic
265#14273713—21no—
266#14273713—21no—
267#14273712—21no—
268#14273712—21no—
269#14273709—21no—
270#14273709—21no—
271#14273709—21no—
272#14273709—21no—
273#14273706C2311yescharacteristic
274#14273706C2311yescharacteristic
275#14273705—21no—
276#14273705—21no—
277#14273703—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#14273701—21no—
287#14273701—21no—
288#14273701—21no—
289#14273701C2311yescharacteristic
290#14273701C2311yescharacteristic
291#14273701C2311yescharacteristic
292#14273701C2311yescharacteristic
293#14273700—21no—
294#14273700—21no—
295#14273700—21no—
296#14273700—21no—
297#14273700—21no—
298#14273700—21no—
299#14273698—21no—
300#14273697—21no—
301#14273697—21no—
302#14273697—21no—
303#14273697—21no—
304#14273697—21no—
305#14273697—21no—
306#14273695—21no—
307#14273695—21no—
308C4×Dic118C2311yescharacteristic
309C4×Dic118C2311yescharacteristic
310C4×D236—21no—
311C4×D236—21no—
312C4×D236—21no—
313C4×D236C2311yescharacteristic
314C4×D236C2311yescharacteristic
315C4×D236C2311yescharacteristic
316C4×D236C2311yescharacteristic
317#14273689—21no—
318#14273689—21no—
319#14273685—21no—
320C4⋊C4×D59—21no—
321C22⋊C4×D59—21no—
322C22⋊C4×D59—21no—
323#14273660C2311yescharacteristic
324#14273660C2311yescharacteristic
325#14273658C2311yescharacteristic
326#14273658C2311yescharacteristic
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#14273650C2311yescharacteristic
344#14273650C2311yescharacteristic
345#14273650C2311yescharacteristic
346#14273650C2311yescharacteristic
347#14273650C2311yescharacteristic
348#14273650C2311yescharacteristic
349#14273650C2311yescharacteristic
350#14273650C2311yescharacteristic
351#14273648C2311yescharacteristic
352#14273648C2311yescharacteristic
353#14273648C2311yescharacteristic
354#14273648C2311yescharacteristic
355#14273648C2311yescharacteristic
356#14273648C2311yescharacteristic
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×C59—21no—
386C2×#41×C59C2311yescharacteristic
387C22×D4×C59—21no—
388C22×D4×C59C2311yescharacteristic
389C22×D4×C59C2311yescharacteristic
390C23×C4×C59—21no—
391C4⋊Q8×C59C2311yescharacteristic
392#127×C59C2311yescharacteristic
393#126×C59—21no—
394#126×C59—21no—
395#126×C59—21no—
396#126×C59—21no—
397#126×C59D411yescharacteristic
398#126×C59D411yescharacteristic
399#125×C59—21no—
400#125×C59D411yescharacteristic
401#125×C59C2311yescharacteristic
402#125×C59C2311yescharacteristic
403#124×C59—21no—
404#124×C59—21no—
405#124×C59D411yescharacteristic
406#124×C59C2311yescharacteristic
407#124×C59C2311yescharacteristic
408#123×C59—21no—
409#123×C59—21no—
410#123×C59—21no—
411#123×C59—21no—
412#123×C59—21no—
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×C59D411yescharacteristic
421#123×C59D411yescharacteristic
422C22⋊Q8×C59—21no—
423C22⋊Q8×C59—21no—
424C22⋊Q8×C59—21no—
425C22⋊Q8×C59—21no—
426C22⋊Q8×C59—21no—
427C22⋊Q8×C59D411yescharacteristic
428C22⋊Q8×C59C2311yescharacteristic
429C22⋊Q8×C59C2311yescharacteristic
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×C59D411yescharacteristic
437#121×C59C2311yescharacteristic
438#121×C59C2311yescharacteristic
439#121×C59C2311yescharacteristic
440#121×C59C2311yescharacteristic
441#120×C59—21no—
442#120×C59—21no—
443#120×C59—21no—
444#120×C59—21no—
445C4×Q8×C59C2311yescharacteristic
446C4×Q8×C59C2311yescharacteristic
447C4×Q8×C59C2311yescharacteristic
448C4×D4×C59—21no—
449C4×D4×C59—21no—
450C4×D4×C59—21no—
451C4×D4×C59—21no—
452C4×D4×C59—21no—
453C4×D4×C59—21no—
454C4×D4×C59—21no—
455C4×D4×C59—21no—
456C4×D4×C59—21no—
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59—21no—
469#117×C59—21no—
470#117×C59—21no—
471#117×C59C2311yescharacteristic
472#117×C59C2311yescharacteristic
473#117×C59C2311yescharacteristic
474C2×C4⋊C4×C59—21no—
475C2×C4⋊C4×C59—21no—
476C2×C4⋊C4×C59C2311yescharacteristic
477C2×C4⋊C4×C59C2311yescharacteristic
478C2×C22⋊C4×C59—21no—
479C2×C22⋊C4×C59—21no—
480C2×C22⋊C4×C59—21no—
481C2×C22⋊C4×C59—21no—
482C2×C22⋊C4×C59—21no—
483C2×C42×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486C23×D59—21no—
487C23×D59—21no—
488#41×C59—22no—
489#41×C59—41no—
490#41×C59—82no—
491C2×Q8×C59—21no—
492C2×Q8×C59C2×D411yescharacteristic
493C2×Q8×C59C2411yescharacteristic
494C2×D4×C59—22no—
495C2×D4×C59—22no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
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—41no—
506C2×D4×C59—41no—
507C2×D4×C59—82no—
508C2×D4×C59C2×D411yescharacteristic
509C2×D4×C59C2×D411yescharacteristic
510C2×D4×C59C2×D411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C2×D4×C59C2411yescharacteristic
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×C59—21no—
521C22×C4×C59—21no—
522C22×C4×C59—21no—
523C22×C4×C59—21no—
524C22×C4×C59—21no—
525C22×C4×C59—82no—
526C22×C4×C59C2×D411yescharacteristic
527C22×C4×C59C2×D411yescharacteristic
528C22×C4×C59C2411yescharacteristic
529C22×C4×C59C2411yescharacteristic
530C22×C4×C59C2411yescharacteristic
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—21no—
538C2×C22⋊D59—21no—
539#11745689—82no—
540D4×D59—82no—
541#11745685—41no—
542#11745685—41no—
543#11745685—41no—
544#11745685—41no—
545#11745685—41no—
546#11745685—41no—
547#11745685—41no—
548#11745685—41no—
549#11745685—82no—
550C2×D236—21no—
551C2×D236—21no—
552C2×D236—21no—
553C2×D236—21no—
554C2×D236—21no—
555C2×D236—21no—
556C2×D236—21no—
557C2×D236—21no—
558C2×D236—21no—
559C2×D236—21no—
560C2×D236—41no—
561C2×D236—41no—
562C2×D236—41no—
563C2×D236—41no—
564C2×D236C2411yescharacteristic
565C2×D236C2411yescharacteristic
566C2×D236C2411yescharacteristic
567C2×D236C2411yescharacteristic
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×Dic118—21no—
577C2×Dic118C2411yescharacteristic
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×C59C2×D411yescharacteristic
591C4⋊C4×C59C2×D411yescharacteristic
592C4⋊C4×C59C2×D411yescharacteristic
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×C59C2411yescharacteristic
601C4⋊C4×C59C2411yescharacteristic
602C4⋊C4×C59C2411yescharacteristic
603C4⋊C4×C59C2411yescharacteristic
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
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×C59C2×D411yescharacteristic
637C42×C59C2×D411yescharacteristic
638C42×C59C2411yescharacteristic
639C42×C59C2411yescharacteristic
640C42×C59C2411yescharacteristic
641C42×C59C2411yescharacteristic
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644#11745672—41no—
645#11745672—41no—
646#11745671—41no—
647#11745671—41no—
648#11745671—41no—
649#11745671—41no—
650#11745670—22no—
651#11745670—22no—
652#11745670—41no—
653#11745670—41no—
654#11745670—41no—
655#11745670—41no—
656#11745669—22no—
657#11745669—22no—
658#11745669—22no—
659#11745669—22no—
660#11745669—41no—
661#11745669—41no—
662#11745669—41no—
663#11745669—41no—
664#11745669—41no—
665#11745669—41no—
666#11745669—41no—
667#11745669—41no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
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—
684C4⋊Dic59—21no—
685C4⋊Dic59—21no—
686C4⋊Dic59—21no—
687C4⋊Dic59C2411yescharacteristic
688C4⋊Dic59C2411yescharacteristic
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693C4×Dic59—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×C59—21no—
712C23×C59—42no—
713C23×C59—42no—
714C23×C59—42no—
715C23×C59—81no—
716C23×C59—81no—
717C23×C59—81no—
718C23×C59C22×D411yescharacteristic
719C23×C59C22×D411yescharacteristic
720C23×C59C22×D411yescharacteristic
721C22×D59—21no—
722C22×D59—21no—
723C22×D59—21no—
724C22×D59—21no—
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—41no—
734Q8×C59—81no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—41no—
741D4×C59—41no—
742D4×C59—41no—
743D4×C59—42no—
744D4×C59—42no—
745D4×C59—42no—
746D4×C59—42no—
747D4×C59—81no—
748D4×C59—81no—
749D4×C59—81no—
750D4×C59—81no—
751D4×C59—81no—
752D4×C59H(5,𝔽2)12yes—
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—41no—
765C2×C4×C59—41no—
766C2×C4×C59—42no—
767C2×C4×C59—42no—
768C2×C4×C59—81no—
769C2×C4×C59—81no—
770C2×C4×C59—81no—
771C2×C4×C59—81no—
772C2×C4×C59—81no—
773C2×C4×C59—81no—
774C2×C4×C59—81no—
775C2×C4×C59—81no—
776C2×C4×C59—81no—
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×C59C22×D411yescharacteristic
787C2×C4×C59C22×D411yescharacteristic
788C2×C4×C59C2511yescharacteristic
789C22⋊D59—81no—
790C22⋊D59—81no—
791C22⋊D59—81no—
792C22⋊D59—81no—
793C22⋊D59—81no—
794C22⋊D59—81no—
795C22⋊D59—81no—
796C22⋊D59—81no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801D236—21no—
802D236—21no—
803D236—21no—
804D236—21no—
805D236—21no—
806D236—21no—
807D236—21no—
808D236—21no—
809D236—42no—
810D236—81no—
811D236—81no—
812D236—81no—
813D236—81no—
814D236—81no—
815D236—81no—
816D236—81no—
817D236—81no—
818D236—81no—
819C4×D59—42no—
820C4×D59—42no—
821C4×D59—81no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825C4×D59—81no—
826C4×D59—81no—
827Dic118—21no—
828Dic118—21no—
829Dic118—21no—
830Dic118—21no—
831Dic118—81no—
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#62083—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—22no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—84no—
860C22×C59—162no—
861C22×C59C23×D411yescharacteristic
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
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—41no—
888C4×C59—41no—
889C4×C59—41no—
890C4×C59—41no—
891C4×C59—41no—
892C4×C59C2×H(5,𝔽2)11yescharacteristic
893C4×C59#58511yescharacteristic
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898#3546—591no—
899#3513D5911yescharacteristic, complemented
900#3401—591no—
901#3399—591no—
902#3376—591no—
903#3366—591no—
904#3332—591no—
905#3323—591no—
906#3318—591no—
907#3317—591no—
908#3307—591no—
909#3306—591no—
910#3274—591no—
911#3273—591no—
912#3268—591no—
913#3267—591no—
914#3264—591no—
915#3264—591no—
916#3263—591no—
917#3257—591no—
918#3251—591no—
919#3224—591no—
920#3220—591no—
921#3219—591no—
922#3125—591no—
923#3118—591no—
924#3109—591no—
925#3045—591no—
926#3041—591no—
927#3036—591no—
928#2995—591no—
929C2×C59—41no—
930C2×C59—41no—
931C2×C59—41no—
932C2×C59—42no—
933C2×C59—81no—
934C2×C59—81no—
935C2×C59#348811yescharacteristic
936C2×C59#358511yescharacteristic
937C2×C59#358511yescharacteristic
938D59—81no—
939D59—81no—
940D59—81no—
941D59—81no—
942C2×AGL(1,ℤ/8)—591no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×#135—591no—
947C22×D8—591no—
948#560—1181no—
949#560—1181no—
950#559C2×D5911yescharacteristic, complemented
951#556—591no—
952#554C2×D5911yescharacteristic, complemented
953#553—21no—
954#553—1181no—
955#553C2×D5911yescharacteristic
956#552C2×D5911yescharacteristic, complemented
957#551—21no—
958#551—21no—
959#550—591no—
960#550—591no—
961#550—591no—
962#547—591no—
963#547C2×D5911yescharacteristic, complemented
964#546—21no—
965#546—591no—
966#546—591no—
967#546—1181no—
968#546C2×D5911yescharacteristic
969#546C2×D5911yescharacteristic, complemented
970D42—591no—
971D42C2×D5911yescharacteristic, complemented
972#542—591no—
973#542—591no—
974#542C2×D5911yescharacteristic, complemented
975#540C2×D5911yescharacteristic, complemented
976#539—21no—
977#538—21no—
978#538—1181no—
979#538—1181no—
980#537—1181no—
981#535—591no—
982#535—591no—
983#535—1181no—
984#532—591no—
985#532—591no—
986#529C2×D5911yescharacteristic
987#529C2×D5911yescharacteristic, complemented
988#525—21no—
989C2×#123—21no—
990#520C2×D5911yescharacteristic, complemented
991#518C2×D5911yescharacteristic, complemented
992C2×C4×D4C2×D5911yescharacteristic, complemented
993#497—591no—
994#496—591no—
995#496—591no—
996#496—591no—
997#495—591no—
998#493—591no—
999#491—591no—
1000#490—591no—
1001#490—591no—
1002#489—591no—
1003#488—591no—
1004#486—591no—
1005#485—591no—
1006#483—591no—
1007#482—591no—
1008#481—591no—
1009#481—591no—
1010#481—591no—
1011#479—591no—
1012#478—591no—
1013#478—591no—
1014#478—591no—
1015#476—591no—
1016#476—591no—
1017#476—591no—
1018#475—591no—
1019#475—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#465—591no—
1031#465—591no—
1032#465—591no—
1033#464—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#463—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#463—591no—
1048#463—591no—
1049#461—591no—
1050#461—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#452—591no—
1066#452—591no—
1067#450—591no—
1068#450—591no—
1069#449—591no—
1070#449—591no—
1071#449—591no—
1072#449—591no—
1073#449—591no—
1074#449—591no—
1075#447—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#442—591no—
1086#442—591no—
1087#442—591no—
1088#442—591no—
1089#441—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#417—591no—
1109#417—591no—
1110#417—591no—
1111#416—591no—
1112C2×#102—591no—
1113C59#6208311yescharacteristic, complemented, Sylow
1114C2×#41—21no—
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—591no—
1118C2×#41—591no—
1119C2×#41—1181no—
1120C2×#41—1181no—
1121C2×#41C22×D5911yescharacteristic
1122C22×D4—21no—
1123C22×D4—591no—
1124C22×D4—591no—
1125C22×D4—1181no—
1126C22×D4C22×D5911yescharacteristic
1127C22×D4C22×D5911yescharacteristic
1128C23×C4—21no—
1129AGL(1,ℤ/8)—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×D8—591no—
1147C2×D8—591no—
1148C2×D8—591no—
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—2362no—
1159C2×M16—591no—
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16—591no—
1163C22×C8—591no—
1164C22×C8—591no—
1165C4⋊Q8—591no—
1166C4⋊Q8—591no—
1167C4⋊Q8C22×D5911yescharacteristic
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—1181no—
1173#127—1181no—
1174#127C22×D5911yescharacteristic
1175#126—21no—
1176#126—21no—
1177#126—21no—
1178#126—21no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#126—1181no—
1183#126C22⋊D5911yescharacteristic
1184#126C22⋊D5911yescharacteristic
1185#125—21no—
1186#125C22⋊D5911yescharacteristic
1187#125C22×D5911yescharacteristic
1188#125C22×D5911yescharacteristic
1189#124—21no—
1190#124—21no—
1191#124—591no—
1192#124—591no—
1193#124—591no—
1194#124—591no—
1195#124—1181no—
1196#124—1181no—
1197#124—1181no—
1198#124C22⋊D5911yescharacteristic
1199#124C22×D5911yescharacteristic
1200#124C22×D5911yescharacteristic
1201#123—21no—
1202#123—21no—
1203#123—21no—
1204#123—21no—
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#123C22⋊D5911yescharacteristic
1220#123C22⋊D5911yescharacteristic
1221C22⋊Q8—21no—
1222C22⋊Q8—21no—
1223C22⋊Q8—21no—
1224C22⋊Q8—21no—
1225C22⋊Q8—21no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8C22⋊D5911yescharacteristic
1232C22⋊Q8C22×D5911yescharacteristic
1233C22⋊Q8C22×D5911yescharacteristic
1234#121—21no—
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—21no—
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—21no—
1268#120—21no—
1269#120—21no—
1270#120—21no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279C4×Q8—591no—
1280C4×Q8—591no—
1281C4×Q8C22×D5911yescharacteristic
1282C4×Q8C22×D5911yescharacteristic
1283C4×Q8C22×D5911yescharacteristic
1284C4×D4—21no—
1285C4×D4—21no—
1286C4×D4—21no—
1287C4×D4—21no—
1288C4×D4—21no—
1289C4×D4—21no—
1290C4×D4—21no—
1291C4×D4—21no—
1292C4×D4—21no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4C22×D5911yescharacteristic
1303C4×D4C22×D5911yescharacteristic
1304C4×D4C22×D5911yescharacteristic
1305C4×D4C22×D5911yescharacteristic
1306C4×D4C22×D5911yescharacteristic
1307C4×D4C22×D5911yescharacteristic
1308C4×D4C22×D5911yescharacteristic
1309C4×D4C22×D5911yescharacteristic
1310C4×D4C22×D5911yescharacteristic
1311C4×D4C22×D5911yescharacteristic
1312C4×D4C22×D5911yescharacteristic
1313#117—21no—
1314#117—21no—
1315#117—21no—
1316#117—1181no—
1317#117C22×D5911yescharacteristic
1318#117C22×D5911yescharacteristic
1319#117C22×D5911yescharacteristic
1320C2×C4⋊C4—21no—
1321C2×C4⋊C4—21no—
1322C2×C4⋊C4—1181no—
1323C2×C4⋊C4C22×D5911yescharacteristic
1324C2×C4⋊C4C22×D5911yescharacteristic
1325C2×C22⋊C4—21no—
1326C2×C22⋊C4—21no—
1327C2×C22⋊C4—21no—
1328C2×C22⋊C4—21no—
1329C2×C22⋊C4—21no—
1330C2×C22⋊C4—1181no—
1331C2×C22⋊C4—1181no—
1332C2×C42C22×D5911yescharacteristic
1333#107—591no—
1334#107—591no—
1335#106—591no—
1336#106—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#103—591no—
1360#103—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—21no—
1396C24—21no—
1397C24—1181no—
1398C24—1181no—
1399#41—22no—
1400#41—41no—
1401#41—82no—
1402#41—4722no—
1403#41—4722no—
1404#41—2361no—
1405#41—2361no—
1406#41—2361no—
1407#41—2361no—
1408#41—2361no—
1409#41—2361no—
1410#41—2361no—
1411#41—2361no—
1412C2×Q8—21no—
1413C2×Q8—591no—
1414C2×Q8—591no—
1415C2×Q8—1181no—
1416C2×Q8C2×C22⋊D5911yescharacteristic
1417C2×Q8C23×D5911yescharacteristic
1418C2×D4—22no—
1419C2×D4—22no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—41no—
1430C2×D4—41no—
1431C2×D4—82no—
1432C2×D4—591no—
1433C2×D4—591no—
1434C2×D4—591no—
1435C2×D4—591no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—4722no—
1455C2×D4—2361no—
1456C2×D4—2361no—
1457C2×D4—2361no—
1458C2×D4—2361no—
1459C2×D4C2×C22⋊D5911yescharacteristic
1460C2×D4C2×C22⋊D5911yescharacteristic
1461C2×D4C2×C22⋊D5911yescharacteristic
1462C2×D4C23×D5911yescharacteristic
1463C2×D4C23×D5911yescharacteristic
1464C2×D4C23×D5911yescharacteristic
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—21no—
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—21no—
1474C22×C4—21no—
1475C22×C4—21no—
1476C22×C4—82no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4C2×C22⋊D5911yescharacteristic
1486C22×C4C2×C22⋊D5911yescharacteristic
1487C22×C4C23×D5911yescharacteristic
1488C22×C4C23×D5911yescharacteristic
1489C22×C4C23×D5911yescharacteristic
1490Q16—2361no—
1491Q16—2361no—
1492SD16—1182no—
1493SD16—1182no—
1494SD16—2361no—
1495SD16—2361no—
1496SD16—2361no—
1497SD16—2361no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502D8—1182no—
1503D8—1182no—
1504D8—1182no—
1505D8—1182no—
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—591no—
1540C4⋊C4—591no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊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—21no—
1579C22⋊C4—21no—
1580C22⋊C4—21no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4C2×C22⋊D5911yescharacteristic
1600C22⋊C4C2×C22⋊D5911yescharacteristic
1601C22⋊C4C2×C22⋊D5911yescharacteristic
1602C22⋊C4C2×C22⋊D5911yescharacteristic
1603C22⋊C4C2×C22⋊D5911yescharacteristic
1604C22⋊C4C2×C22⋊D5911yescharacteristic
1605C22⋊C4C2×C22⋊D5911yescharacteristic
1606C22⋊C4C2×C22⋊D5911yescharacteristic
1607C22⋊C4C2×C22⋊D5911yescharacteristic
1608C22⋊C4C2×C22⋊D5911yescharacteristic
1609C42—21no—
1610C42—21no—
1611C42—21no—
1612C42—1181no—
1613C42—1181no—
1614C42C2×C22⋊D5911yescharacteristic
1615C42C2×C22⋊D5911yescharacteristic
1616C42C23×D5911yescharacteristic
1617C42C23×D5911yescharacteristic
1618C42C23×D5911yescharacteristic
1619C42C23×D5911yescharacteristic
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—42no—
1624C23—42no—
1625C23—42no—
1626C23—81no—
1627C23—81no—
1628C23—81no—
1629C23—1181no—
1630C23—1181no—
1631C23—1181no—
1632C23—1181no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23C22×C22⋊D5911yescharacteristic
1640C23C22×C22⋊D5911yescharacteristic
1641C23C22×C22⋊D5911yescharacteristic
1642Q8—21no—
1643Q8—21no—
1644Q8—41no—
1645Q8—81no—
1646Q8—1181no—
1647Q8—1181no—
1648Q8—1181no—
1649Q8—1181no—
1650Q8—4721no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—41no—
1657D4—41no—
1658D4—41no—
1659D4—42no—
1660D4—42no—
1661D4—42no—
1662D4—42no—
1663D4—81no—
1664D4—81no—
1665D4—81no—
1666D4—81no—
1667D4—81no—
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—2362no—
1694D4#1427377312yes—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—41no—
1707C2×C4—41no—
1708C2×C4—42no—
1709C2×C4—42no—
1710C2×C4—81no—
1711C2×C4—81no—
1712C2×C4—81no—
1713C2×C4—81no—
1714C2×C4—81no—
1715C2×C4—81no—
1716C2×C4—81no—
1717C2×C4—81no—
1718C2×C4—81no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—2362no—
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—22no—
1755C22—21no—
1756C22—21no—
1757C22—21no—
1758C22—21no—
1759C22—21no—
1760C22—21no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—84no—
1770C22—162no—
1771C22—9442no—
1772C22—9442no—
1773C22—2361no—
1774C22—2361no—
1775C22—2361no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22C23×C22⋊D5911yescharacteristic
1786C4—21no—
1787C4—21no—
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—21no—
1794C4—21no—
1795C4—21no—
1796C4—21no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—2361no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4C2×#1427377311yescharacteristic
1807C4#1683823811yescharacteristic
1808C2—41no—
1809C2—41no—
1810C2—41no—
1811C2—42no—
1812C2—81no—
1813C2—81no—
1814C2—4721no—
1815C2—4721no—
1816C2—4721no—
1817C2—4721no—
1818C2#2143776511yescharacteristic
1819C2#2143887511yescharacteristic
1820C2#2143887611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3513C2
socleC22×C59C23×D4
hypercenter#3513D59
hypocenterC59#62083
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #529 ◁ #3513

Complements

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

NH ≅ G/Ntype
1. #21438470C2semidirect
2. #21437156C2semidirect
3. #21437134C2semidirect
4. #21436923C2semidirect
5. #21436803C2semidirect
6. #21436417C2semidirect
7. #21436306C2semidirect
8. #21436231C2semidirect
9. #21436216C2semidirect
10. #21436066C2semidirect
11. #21436051C2semidirect
12. #21435712C2semidirect
13. #21435703C2semidirect
14. #21435632C2semidirect
15. #21435617C2semidirect
16. #21435577C2semidirect
17. #21435572C2semidirect
18. #21435561C2semidirect
19. #21435501C2semidirect
20. #21435458C2semidirect
21. #21435184C2semidirect
22. #21435140C2semidirect
23. #21435129C2semidirect
24. #21434373C2semidirect
25. #21434280C2semidirect
26. #21434187C2semidirect
27. #21433635C2semidirect
28. #21433599C2semidirect
29. #21433560C2semidirect
30. #21433266C2semidirect
31. C59×#3513C2semidirect
32. C2×#14273753C22semidirect
33. C2×#14273753C22semidirect
34. C2×#14273753C22semidirect
36. C2×#14273747C22semidirect
40. #16838125C22semidirect
42. #16838074C22semidirect
44. #16838073C22semidirect
45. #16838057C22semidirect
47. #16838048C22semidirect
49. D4×D236C22semidirect
50. #16838023C22semidirect
51. #16838023C22semidirect
55. #16837971C22semidirect
56. #16837971C22semidirect
58. #16837952C22semidirect
59. #16837952C22semidirect
60. #16837797C22semidirect
61. #16837792C22semidirect
62. #16837792C22semidirect
64. #16837784C22semidirect
65. #16837778C22semidirect
66. #16837772C22semidirect
67. #16837768C22semidirect
68. #16837768C22semidirect
69. #16837764C22semidirect
70. #16837759C22semidirect
71. #16837750C22semidirect
72. #16837743C22semidirect
73. #16837732C22semidirect
74. #16837726C22semidirect
75. #16837720C22semidirect
76. #16837720C22semidirect
77. #16837720C22semidirect
78. #16837706C22semidirect
79. #16837699C22semidirect
80. #16837699C22semidirect
81. #16837699C22semidirect
82. #16837692C22semidirect
83. #16837692C22semidirect
84. #16837689C22semidirect
85. #16837687C22semidirect
86. #16837684C22semidirect
87. #16837682C22semidirect
88. #16837658C22semidirect
91. #16837653C22semidirect
92. #16837653C22semidirect
93. #16837650C22semidirect
94. #16837650C22semidirect
95. #16837646C22semidirect
96. #16837636C22semidirect
97. #16837633C22semidirect
98. #16837629C22semidirect
99. #16837629C22semidirect
100. #16837624C22semidirect
101. #16837624C22semidirect
102. #16837624C22semidirect
103. #16837621C22semidirect
106. #16837617C22semidirect
107. #16837617C22semidirect
108. #16837617C22semidirect
109. #16837617C22semidirect
110. #16837617C22semidirect
111. #16837617C22semidirect
112. #16837617C22semidirect
113. #16837614C22semidirect
114. #16837614C22semidirect
115. #16837614C22semidirect
116. #16837607C22semidirect
117. #16837607C22semidirect
118. #16837602C22semidirect
119. #16837602C22semidirect
120. #16837599C22semidirect
123. #16837597C22semidirect
124. #16837597C22semidirect
125. #16837597C22semidirect
126. #16837597C22semidirect
127. #16837597C22semidirect
128. #16837597C22semidirect
129. #16837594C22semidirect
130. #16837564C22semidirect
131. #16837562C22semidirect
132. #16837562C22semidirect
133. #16837562C22semidirect
134. #16837553C22semidirect
135. #16837552C22semidirect
137. #16837545C22semidirect
138. #16837545C22semidirect
139. #16837545C22semidirect
140. #16837545C22semidirect
141. #16837545C22semidirect
144. #16837536C22semidirect
146. #16837535C22semidirect
147. #16837535C22semidirect
148. #16837533C22semidirect
149. #16837533C22semidirect
151. #16837512C22semidirect
152. #16837512C22semidirect
153. #16837512C22semidirect
154. #16837512C22semidirect
155. #16837512C22semidirect
156. #16837507C22semidirect
157. #16837502C22semidirect
158. C4×#11745671C22semidirect
159. C4×#11745670C22semidirect
160. C4×#11745670C22semidirect
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. #16837401C22semidirect
176. #16837401C22semidirect
177. #16837401C22semidirect
178. #16837396C22semidirect
179. C2×#14273647C22semidirect
180. C59×#559C22semidirect
181. C59×#554C22semidirect
184. C59×#552C22semidirect
187. C59×#547C22semidirect
190. C59×#546C22semidirect
191. D42×C59C22semidirect
192. C59×#542C22semidirect
193. C59×#540C22semidirect
197. C59×#529C22semidirect
200. C59×#520C22semidirect
201. C59×#518C22semidirect
202. C2×C4×D4×C59C22semidirect
899. #3513D59semidirect
950. #559C2×D59semidirect
952. #554C2×D59semidirect
956. #552C2×D59semidirect
963. #547C2×D59semidirect
969. #546C2×D59semidirect
971. D42C2×D59semidirect
974. #542C2×D59semidirect
975. #540C2×D59semidirect
987. #529C2×D59semidirect
990. #520C2×D59semidirect
991. #518C2×D59semidirect
992. C2×C4×D4C2×D59semidirect
1113. C59#62083semidirect

Maximal subgroups

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

subgroupindex
#214384702
#214371562
#214371342
#214369232
#214368032
#214364172
#214363062
#214362312
#214362162
#214360662
#214360512
#214357122
#214357032
#214356322
#214356172
#214355772
#214355722
#214355612
#214355012
#214354582
#214351842
#214351402
#214351292
#214343732
#214342802
#214341872
#214336352
#214335992
#214335602
#214332662
C59×#35132
#6208359