Finite Group Databasebeta

← #29483809

Subgroups — #29483809

Order 15104.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438684C211yesmaximal, characteristic, complemented
2#21437180C211yesmaximal, characteristic, complemented
3#21437156C211yesmaximal, characteristic, complemented
4#21436910C211yesmaximal, characteristic, complemented
5#21436836C211yesmaximal, characteristic, complemented
6#21436417C211yesmaximal, characteristic, complemented
7#21436395C211yesmaximal, characteristic, complemented
8#21436201C211yesmaximal, characteristic, complemented
9#21436171C211yesmaximal, characteristic, complemented
10#21436081C211yesmaximal, characteristic, complemented
11#21436051C211yesmaximal, characteristic, complemented
12#21435749C211yesmaximal, characteristic, complemented
13#21435728C211yesmaximal, characteristic, complemented
14#21435682C211yesmaximal, characteristic, complemented
15#21435677C211yesmaximal, characteristic, complemented
16#21435652C211yesmaximal, characteristic, complemented
17#21435637C211yesmaximal, characteristic, complemented
18#21435522C211yesmaximal, characteristic, complemented
19#21435507C211yesmaximal, characteristic, complemented
20#21435452C211yesmaximal, characteristic, complemented
21#21435199C211yesmaximal, characteristic, complemented
22#21435184C211yesmaximal, characteristic, complemented
23#21435087C211yesmaximal, characteristic, complemented
24#21434310C211yesmaximal, characteristic, complemented
25#21434295C211yesmaximal, characteristic, complemented
26#21434267C211yesmaximal, characteristic, complemented
27#21433646C211yesmaximal, characteristic, complemented
28#21433635C211yesmaximal, characteristic, complemented
29#21433568C211yesmaximal, characteristic, complemented
30#21433266C211yesmaximal, characteristic, complemented
31C59×#3522C211yesmaximal, characteristic, complemented
32C2×#14273758C2211yescharacteristic
33C2×#14273758C2211yescharacteristic, complemented
34C2×#14273757C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic
36C2×#14273747C2211yescharacteristic
37C2×#14273747C2211yescharacteristic
38#16838148—21no—
39#16838140—21no—
40#16838137C2211yescharacteristic
41#16838125C2211yescharacteristic
42#16838103—21no—
43#16838077—21no—
44#16838073C2211yescharacteristic
45#16838061C2211yescharacteristic
46#16838061C2211yescharacteristic
47#16838057C2211yescharacteristic
48#16838048C2211yescharacteristic
49#16838048C2211yescharacteristic
50#16838014C2211yescharacteristic
51#16838007C2211yescharacteristic
52#16838004—21no—
53#16838000—21no—
54#16837988—21no—
55#16837986—21no—
56#16837978C2211yescharacteristic
57#16837971C2211yescharacteristic
58#16837952C2211yescharacteristic
59#16837936C2211yescharacteristic
60#16837797C2211yescharacteristic, complemented
61#16837792C2211yescharacteristic
62#16837789C2211yescharacteristic
63#16837789C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic
65#16837784C2211yescharacteristic
66#16837764C2211yescharacteristic
67#16837764C2211yescharacteristic
68#16837764C2211yescharacteristic
69#16837764C2211yescharacteristic, complemented
70#16837754C2211yescharacteristic, complemented
71#16837750C2211yescharacteristic
72#16837737C2211yescharacteristic
73#16837737C2211yescharacteristic, complemented
74#16837732C2211yescharacteristic
75#16837720C2211yescharacteristic
76#16837720C2211yescharacteristic, complemented
77#16837715C2211yescharacteristic
78#16837709C2211yescharacteristic, complemented
79#16837709C2211yescharacteristic, complemented
80#16837702C2211yescharacteristic, complemented
81#16837702C2211yescharacteristic, complemented
82#16837694C2211yescharacteristic, complemented
83#16837689C2211yescharacteristic
84#16837684C2211yescharacteristic, complemented
85#16837684C2211yescharacteristic, complemented
86#16837679C2211yescharacteristic
87#16837679C2211yescharacteristic, complemented
88#16837658C2211yescharacteristic
89#16837653C2211yescharacteristic
90#16837653C2211yescharacteristic
91#16837653C2211yescharacteristic, complemented
92#16837650C2211yescharacteristic
93#16837646C2211yescharacteristic
94#16837646C2211yescharacteristic, complemented
95#16837646C2211yescharacteristic, complemented
96#16837641C2211yescharacteristic
97#16837636C2211yescharacteristic
98#16837633C2211yescharacteristic, complemented
99#16837629C2211yescharacteristic
100#16837624C2211yescharacteristic
101#16837624C2211yescharacteristic
102#16837624C2211yescharacteristic
103#16837624C2211yescharacteristic
104#16837624C2211yescharacteristic
105#16837624C2211yescharacteristic
106#16837624C2211yescharacteristic, complemented
107#16837624C2211yescharacteristic, complemented
108#16837621C2211yescharacteristic, complemented
109#16837621C2211yescharacteristic, complemented
110#16837617C2211yescharacteristic
111#16837617C2211yescharacteristic
112#16837617C2211yescharacteristic
113#16837617C2211yescharacteristic
114#16837614C2211yescharacteristic
115#16837614C2211yescharacteristic, complemented
116#16837612C2211yescharacteristic, complemented
117#16837612C2211yescharacteristic, complemented
118#16837612C2211yescharacteristic, complemented
119#16837607C2211yescharacteristic, complemented
120#16837607C2211yescharacteristic, complemented
121#16837607C2211yescharacteristic, complemented
122#16837602C2211yescharacteristic
123#16837602C2211yescharacteristic
124#16837602C2211yescharacteristic
125#16837599C2211yescharacteristic, complemented
126#16837597C2211yescharacteristic
127#16837597C2211yescharacteristic
128#16837597C2211yescharacteristic
129#16837594C2211yescharacteristic
130#16837564C2211yescharacteristic
131#16837564C2211yescharacteristic
132#16837562C2211yescharacteristic
133#16837562C2211yescharacteristic
134#16837558C2211yescharacteristic, complemented
135#16837557C2211yescharacteristic, complemented
136#16837552C2211yescharacteristic
137#16837547C2211yescharacteristic
138#16837547C2211yescharacteristic, complemented
139#16837545C2211yescharacteristic
140#16837545C2211yescharacteristic
141#16837545C2211yescharacteristic
142#16837545C2211yescharacteristic
143#16837545C2211yescharacteristic, complemented
144#16837545C2211yescharacteristic, complemented
145#16837541C2211yescharacteristic
146#16837540C2211yescharacteristic, complemented
147#16837535C2211yescharacteristic
148#16837533C2211yescharacteristic, complemented
149#16837533C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic
151#16837507C2211yescharacteristic, complemented
152#16837507C2211yescharacteristic, complemented
153#16837507C2211yescharacteristic, complemented
154#16837502C2211yescharacteristic, complemented
155#16837500C2211yescharacteristic
156#16837500C2211yescharacteristic
157#16837500C2211yescharacteristic, complemented
158C4×#11745672C2211yescharacteristic, complemented
159C4×#11745671C2211yescharacteristic
160C4×#11745670C2211yescharacteristic, complemented
161C4×#11745669C2211yescharacteristic, complemented
162#16837480C2211yescharacteristic
163#16837480C2211yescharacteristic, complemented
164#16837474C2211yescharacteristic
165#16837474C2211yescharacteristic
166#16837474C2211yescharacteristic
167#16837474C2211yescharacteristic, complemented
168#16837463C2211yescharacteristic
169#16837463C2211yescharacteristic, complemented
170#16837459C2211yescharacteristic, complemented
171#16837429C2211yescharacteristic
172#16837429C2211yescharacteristic, complemented
173#16837426C2211yescharacteristic, complemented
174#16837401C2211yescharacteristic
175#16837401C2211yescharacteristic
176#16837401C2211yescharacteristic
177#16837401C2211yescharacteristic, complemented
178C2×#14273650C2211yescharacteristic, complemented
179C2×#14273647C2211yescharacteristic
180C59×#559—21no—
181C59×#559C2211yescharacteristic, complemented
182Q82×C59C2211yescharacteristic, complemented
183C59×#554—21no—
184C59×#554C2211yescharacteristic
185C59×#550C2211yescharacteristic
186C59×#548C2211yescharacteristic
187C59×#548C2211yescharacteristic, complemented
188C59×#547—21no—
189C59×#547—21no—
190C59×#547C2211yescharacteristic
191C59×#547C2211yescharacteristic, complemented
192C59×#542—21no—
193C59×#542—21no—
194C59×#542C2211yescharacteristic
195C59×#542C2211yescharacteristic, complemented
196C59×#532—21no—
197C59×#532C2211yescharacteristic, complemented
198C59×#529—21no—
199C59×#529C2211yescharacteristic
200C59×#520C2211yescharacteristic
201C59×#520C2211yescharacteristic, complemented
202C2×C4×Q8×C59C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C22×Dic118C2311yescharacteristic
208C22×D236C2311yescharacteristic
209#14273758—42no—
210#14273758—42no—
211#14273757—42no—
212#14273752—42no—
213#14273747—42no—
214#14273747—42no—
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745672C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745664C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C2×#11745664C2311yescharacteristic
242C2×#11745664C2311yescharacteristic
243C22×C59⋊C8C2311yescharacteristic
244C22×C59⋊C8C2311yescharacteristic
245#14273727C2311yescharacteristic
246#14273727C2311yescharacteristic
247#14273724C2311yescharacteristic
248#14273724C2311yescharacteristic
249#14273723—21no—
250#14273722—21no—
251#14273722—21no—
252#14273721—21no—
253#14273720—21no—
254#14273720—21no—
255#14273719C2311yescharacteristic
256#14273717—21no—
257#14273717—21no—
258#14273716—21no—
259#14273715C2311yescharacteristic
260#14273715C2311yescharacteristic
261#14273715C2311yescharacteristic
262#14273715C2311yescharacteristic
263#14273715C2311yescharacteristic
264#14273713—21no—
265#14273713—21no—
266#14273712—21no—
267#14273712—21no—
268#14273712—21no—
269#14273712—21no—
270#14273712—21no—
271#14273712—21no—
272#14273711—21no—
273#14273711—21no—
274#14273710—21no—
275#14273709—21no—
276#14273709—21no—
277#14273707—21no—
278#14273707—21no—
279#14273706C2311yescharacteristic
280#14273706C2311yescharacteristic
281#14273706C2311yescharacteristic
282#14273705—21no—
283#14273705—21no—
284#14273703—21no—
285#14273702—21no—
286#14273702—21no—
287#14273701—21no—
288#14273701—21no—
289#14273701C2311yescharacteristic
290#14273701C2311yescharacteristic
291#14273701C2311yescharacteristic
292#14273700—21no—
293#14273700—21no—
294#14273700—21no—
295#14273700—21no—
296#14273700—21no—
297#14273700—21no—
298#14273699—21no—
299#14273699—21no—
300#14273698—21no—
301#14273697—21no—
302#14273697—21no—
303#14273695—21no—
304#14273695—21no—
305C4×Dic118C2311yescharacteristic
306C4×Dic118C2311yescharacteristic
307C4×Dic118C2311yescharacteristic
308C4×D236—21no—
309C4×D236—21no—
310C4×D236C2311yescharacteristic
311C4×D236C2311yescharacteristic
312C4×D236C2311yescharacteristic
313#14273689—21no—
314#14273689—21no—
315C4×C22⋊D59—21no—
316(C22⋊D59)⋊C4—21no—
317(C22⋊D59)⋊C4—21no—
318#14273685—21no—
319#14273684—21no—
320C4⋊C4×D59—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#14273650C2311yescharacteristic
350#14273650C2311yescharacteristic
351#14273650C2311yescharacteristic
352#14273650C2311yescharacteristic
353#14273650C2311yescharacteristic
354#14273650C2311yescharacteristic
355#14273650C2311yescharacteristic
356#14273650C2311yescharacteristic
357#14273648C2311yescharacteristic
358#14273648C2311yescharacteristic
359#14273648C2311yescharacteristic
360#14273648C2311yescharacteristic
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×C59—21no—
387C2×#41×C59—21no—
388C2×#41×C59C2311yescharacteristic
389C2×#41×C59C2311yescharacteristic
390C22×Q8×C59C2311yescharacteristic
391C4⋊Q8×C59—21no—
392C4⋊Q8×C59—21no—
393C4⋊Q8×C59—21no—
394C4⋊Q8×C59C2311yescharacteristic
395C4⋊Q8×C59C2311yescharacteristic
396C4⋊Q8×C59C2311yescharacteristic
397#127×C59—21no—
398#127×C59C2311yescharacteristic
399#126×C59—21no—
400#126×C59—21no—
401#126×C59D411yescharacteristic
402#126×C59D411yescharacteristic
403#125×C59—21no—
404#125×C59D411yescharacteristic
405#124×C59—21no—
406#124×C59—21no—
407#124×C59—21no—
408#124×C59—21no—
409#124×C59—21no—
410#124×C59—21no—
411#124×C59D411yescharacteristic
412#124×C59C2311yescharacteristic
413#124×C59C2311yescharacteristic
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×C59—21no—
422#123×C59D411yescharacteristic
423#123×C59D411yescharacteristic
424C22⋊Q8×C59—21no—
425C22⋊Q8×C59—21no—
426C22⋊Q8×C59—21no—
427C22⋊Q8×C59—21no—
428C22⋊Q8×C59—21no—
429C22⋊Q8×C59—21no—
430C22⋊Q8×C59—21no—
431C22⋊Q8×C59—21no—
432C22⋊Q8×C59D411yescharacteristic
433C22⋊Q8×C59C2311yescharacteristic
434C22⋊Q8×C59C2311yescharacteristic
435#121×C59—21no—
436#121×C59—21no—
437#121×C59—21no—
438#121×C59—21no—
439#121×C59—21no—
440#121×C59D411yescharacteristic
441#121×C59C2311yescharacteristic
442#121×C59C2311yescharacteristic
443#121×C59C2311yescharacteristic
444#121×C59C2311yescharacteristic
445C4×Q8×C59—21no—
446C4×Q8×C59—21no—
447C4×Q8×C59—21no—
448C4×Q8×C59C2311yescharacteristic
449C4×Q8×C59C2311yescharacteristic
450C4×Q8×C59C2311yescharacteristic
451C4×Q8×C59C2311yescharacteristic
452C4×Q8×C59C2311yescharacteristic
453C4×Q8×C59C2311yescharacteristic
454C4×Q8×C59C2311yescharacteristic
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×C59—21no—
463C4×D4×C59—21no—
464C4×D4×C59—21no—
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471C4×D4×C59C2311yescharacteristic
472#117×C59—21no—
473#117×C59—21no—
474#117×C59C2311yescharacteristic
475#117×C59C2311yescharacteristic
476C2×C4⋊C4×C59—21no—
477C2×C4⋊C4×C59—21no—
478C2×C4⋊C4×C59—21no—
479C2×C4⋊C4×C59C2311yescharacteristic
480C2×C4⋊C4×C59C2311yescharacteristic
481C2×C4⋊C4×C59C2311yescharacteristic
482C2×C42×C59—21no—
483C2×C42×C59C2311yescharacteristic
484C23×D59—21no—
485#41×C59—22no—
486#41×C59—22no—
487#41×C59—41no—
488#41×C59—41no—
489#41×C59—82no—
490#41×C59—82no—
491#41×C59—82no—
492C2×Q8×C59—21no—
493C2×Q8×C59—21no—
494C2×Q8×C59—21no—
495C2×Q8×C59—21no—
496C2×Q8×C59—22no—
497C2×Q8×C59—41no—
498C2×Q8×C59C2×D411yescharacteristic
499C2×Q8×C59C2411yescharacteristic
500C2×Q8×C59C2411yescharacteristic
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×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59C2×D411yescharacteristic
510C2×D4×C59C2×D411yescharacteristic
511C2×D4×C59C2×D411yescharacteristic
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×C59C2×D411yescharacteristic
525C22×C4×C59C2×D411yescharacteristic
526C22×C4×C59C2411yescharacteristic
527C22×C4×C59C2411yescharacteristic
528C22×C4×C59C2411yescharacteristic
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C22×Dic59—21no—
537#11745685—41no—
538#11745685—41no—
539#11745685—41no—
540#11745685—41no—
541#11745685—41no—
542#11745685—41no—
543#11745685—41no—
544#11745685—41no—
545C2×D236—21no—
546C2×D236—21no—
547C2×D236—21no—
548C2×D236—21no—
549C2×D236—21no—
550C2×D236—41no—
551C2×D236—41no—
552C2×D236C2411yescharacteristic
553C2×D236C2411yescharacteristic
554C2×D236C2411yescharacteristic
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×Dic118—21no—
563C2×Dic118—41no—
564C2×Dic118—41no—
565C2×Dic118C2411yescharacteristic
566C2×Dic118C2411yescharacteristic
567C2×Dic118C2411yescharacteristic
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59—21no—
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59C2×D411yescharacteristic
583C4⋊C4×C59C2×D411yescharacteristic
584C4⋊C4×C59C2×D411yescharacteristic
585C4⋊C4×C59C2×D411yescharacteristic
586C4⋊C4×C59C2×D411yescharacteristic
587C4⋊C4×C59C2×D411yescharacteristic
588C4⋊C4×C59C2×D411yescharacteristic
589C4⋊C4×C59C2×D411yescharacteristic
590C4⋊C4×C59C2×D411yescharacteristic
591C4⋊C4×C59C2×D411yescharacteristic
592C4⋊C4×C59C2411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C4⋊C4×C59C2411yescharacteristic
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59—21no—
608C22⋊C4×C59—21no—
609C22⋊C4×C59—21no—
610C22⋊C4×C59C2×D411yescharacteristic
611C22⋊C4×C59C2×D411yescharacteristic
612C22⋊C4×C59C2×D411yescharacteristic
613C22⋊C4×C59C2×D411yescharacteristic
614C22⋊C4×C59C2×D411yescharacteristic
615C22⋊C4×C59C2×D411yescharacteristic
616C22⋊C4×C59C2×D411yescharacteristic
617C22⋊C4×C59C2×D411yescharacteristic
618C22⋊C4×C59C2×D411yescharacteristic
619C22⋊C4×C59C2×D411yescharacteristic
620C42×C59—21no—
621C42×C59—21no—
622C42×C59—21no—
623C42×C59—21no—
624C42×C59—21no—
625C42×C59—21no—
626C42×C59C2×D411yescharacteristic
627C42×C59C2×D411yescharacteristic
628C42×C59C2411yescharacteristic
629C42×C59C2411yescharacteristic
630C42×C59C2411yescharacteristic
631C42×C59C2411yescharacteristic
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635#11745672—22no—
636#11745672—22no—
637#11745672—22no—
638#11745672—41no—
639#11745672—41no—
640#11745672—41no—
641#11745671—22no—
642#11745671—22no—
643#11745671—22no—
644#11745671—41no—
645#11745671—41no—
646#11745671—41no—
647#11745670—41no—
648#11745670—41no—
649#11745670—41no—
650#11745670—41no—
651#11745670—41no—
652#11745670—41no—
653#11745669—41no—
654#11745669—41no—
655#11745669—41no—
656#11745669—41no—
657#11745669—41no—
658#11745669—41no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
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—
675C4⋊Dic59—21no—
676C4⋊Dic59—21no—
677C4⋊Dic59—21no—
678C4⋊Dic59—21no—
679C4⋊Dic59C2411yescharacteristic
680C4⋊Dic59C2411yescharacteristic
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59—21no—
692#11745664—41no—
693#11745664—41no—
694#11745664—41no—
695#11745664—41no—
696C2×C59⋊C8—41no—
697C2×C59⋊C8—41no—
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704C2×C59⋊C8C2411yescharacteristic
705C2×C59⋊C8C2411yescharacteristic
706C23×C59—21no—
707C23×C59—21no—
708C23×C59C22×D411yescharacteristic
709C23×C59C22×D411yescharacteristic
710C23×C59C22×D411yescharacteristic
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—81no—
715C22×D59—81no—
716C22×D59—81no—
717Q8×C59—21no—
718Q8×C59—21no—
719Q8×C59—21no—
720Q8×C59—41no—
721Q8×C59—42no—
722Q8×C59—81no—
723Q8×C59—81no—
724Q8×C59—81no—
725Q8×C59H(5,𝔽2)12yes—
726D4×C59—21no—
727D4×C59—21no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—41no—
731D4×C59—41no—
732D4×C59—41no—
733D4×C59—42no—
734D4×C59—42no—
735D4×C59—42no—
736D4×C59—42no—
737D4×C59—42no—
738D4×C59—81no—
739D4×C59—81no—
740D4×C59—81no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—41no—
754C2×C4×C59—41no—
755C2×C4×C59—42no—
756C2×C4×C59—42no—
757C2×C4×C59—42no—
758C2×C4×C59—42no—
759C2×C4×C59—81no—
760C2×C4×C59—81no—
761C2×C4×C59—81no—
762C2×C4×C59—81no—
763C2×C4×C59—81no—
764C2×C4×C59—81no—
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C22×D411yescharacteristic
767C2×C4×C59C22×D411yescharacteristic
768C2×C4×C59C22×D411yescharacteristic
769C2×C4×C59C22×D411yescharacteristic
770C2×C4×C59C22×D411yescharacteristic
771C2×C4×C59C22×D411yescharacteristic
772C2×C4×C59C22×D411yescharacteristic
773C2×C4×C59C22×D411yescharacteristic
774C2×C4×C59C22×D411yescharacteristic
775C2×C4×C59C22×D411yescharacteristic
776C2×C4×C59C2511yescharacteristic
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C22⋊D59—81no—
781C22⋊D59—81no—
782C22⋊D59—81no—
783C22⋊D59—81no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—81no—
790D236—21no—
791D236—21no—
792D236—21no—
793D236—21no—
794D236—21no—
795D236—21no—
796D236—81no—
797D236—81no—
798D236—81no—
799D236—81no—
800D236—81no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805C4×D59—81no—
806C4×D59—81no—
807C4×D59—81no—
808Dic118—21no—
809Dic118—21no—
810Dic118—21no—
811Dic118—21no—
812Dic118—21no—
813Dic118—21no—
814Dic118—81no—
815C59⋊C8—21no—
816C59⋊C8—21no—
817C59⋊C8—21no—
818C59⋊C8—21no—
819C59⋊C8—21no—
820C59⋊C8—21no—
821C59⋊C8—21no—
822C59⋊C8—21no—
823#62078—591nomaximal, Sylow
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—21no—
827C22×C59—21no—
828C22×C59—21no—
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—21no—
832C22×C59—21no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59C23×D411yescharacteristic
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—162no—
850C4×C59—21no—
851C4×C59—21no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—21no—
858C4×C59—21no—
859C4×C59—21no—
860C4×C59—21no—
861C4×C59—22no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59C2×H(5,𝔽2)11yescharacteristic
868C4×C59#58511yescharacteristic
869Dic59—41no—
870Dic59—41no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874#3562—591no—
875#3522D5911yescharacteristic, complemented
876#3403—591no—
877#3401—591no—
878#3375—591no—
879#3369—591no—
880#3332—591no—
881#3330—591no—
882#3316—591no—
883#3314—591no—
884#3308—591no—
885#3306—591no—
886#3277—591no—
887#3275—591no—
888#3271—591no—
889#3271—591no—
890#3269—591no—
891#3268—591no—
892#3258—591no—
893#3257—591no—
894#3251—591no—
895#3225—591no—
896#3224—591no—
897#3214—591no—
898#3120—591no—
899#3119—591no—
900#3117—591no—
901#3046—591no—
902#3045—591no—
903#3037—591no—
904#2995—591no—
905C2×C59—41no—
906C2×C59—41no—
907C2×C59—41no—
908C2×C59—81no—
909C2×C59—81no—
910C2×C59#348811yescharacteristic
911C2×C59#358511yescharacteristic
912C2×C59#358611yescharacteristic
913D59—81no—
914D59—81no—
915D59—81no—
916C2×#137—591no—
917C2×#137—591no—
918C2×#137—591no—
919C2×AGL(1,ℤ/8)—591no—
920C2×#135—591no—
921C2×#135—591no—
922#562—1181no—
923#560—1181no—
924#559—21no—
925#559—591no—
926#559C2×D5911yescharacteristic, complemented
927Q82C2×D5911yescharacteristic, complemented
928#556—591no—
929#554—21no—
930#554C2×D5911yescharacteristic
931#553—1181no—
932#551—1181no—
933#550—591no—
934#550C2×D5911yescharacteristic
935#548—591no—
936#548—591no—
937#548C2×D5911yescharacteristic
938#548C2×D5911yescharacteristic, complemented
939#547—21no—
940#547—21no—
941#547—591no—
942#547C2×D5911yescharacteristic
943#547C2×D5911yescharacteristic, complemented
944#546—591no—
945#546—591no—
946#542—21no—
947#542—21no—
948#542C2×D5911yescharacteristic
949#542C2×D5911yescharacteristic, complemented
950#541—591no—
951#540—591no—
952#540—1181no—
953#539—1181no—
954#538—1181no—
955#538—1181no—
956#536—591no—
957#535—591no—
958#532—21no—
959#532—591no—
960#532C2×D5911yescharacteristic, complemented
961#529—21no—
962#529—591no—
963#529C2×D5911yescharacteristic
964#520C2×D5911yescharacteristic
965#520C2×D5911yescharacteristic, complemented
966C2×C4×Q8C2×D5911yescharacteristic, complemented
967#497—591no—
968#496—591no—
969#496—591no—
970#496—591no—
971#495—591no—
972#495—591no—
973#489—591no—
974#489—591no—
975#489—591no—
976#489—591no—
977#487—591no—
978#486—591no—
979#484—591no—
980#484—591no—
981#483—591no—
982#481—591no—
983#481—591no—
984#480—591no—
985#479—591no—
986#479—591no—
987#478—591no—
988#478—591no—
989#477—591no—
990#476—591no—
991#475—591no—
992#475—591no—
993#474—591no—
994#474—591no—
995#470—591no—
996#469—591no—
997#469—591no—
998#469—591no—
999#468—591no—
1000#468—591no—
1001#468—591no—
1002#468—591no—
1003#467—591no—
1004#466—591no—
1005#465—591no—
1006#465—591no—
1007#464—591no—
1008#464—591no—
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#464—591no—
1015#464—591no—
1016#464—591no—
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#462—591no—
1024#462—591no—
1025#462—591no—
1026#461—591no—
1027#461—591no—
1028#461—591no—
1029#460—591no—
1030#460—591no—
1031#460—591no—
1032#460—591no—
1033#459—591no—
1034#459—591no—
1035#459—591no—
1036#459—591no—
1037#452—591no—
1038#452—591no—
1039#452—591no—
1040#452—591no—
1041#451—591no—
1042#451—591no—
1043#450—591no—
1044#449—591no—
1045#449—591no—
1046#449—591no—
1047#449—591no—
1048#449—591no—
1049#449—591no—
1050#449—591no—
1051#449—591no—
1052#448—591no—
1053#448—591no—
1054#447—591no—
1055#446—591no—
1056#446—591no—
1057#442—591no—
1058#441—591no—
1059#441—591no—
1060#441—591no—
1061#440—591no—
1062#440—591no—
1063#440—591no—
1064#440—591no—
1065C4×Q16—591no—
1066C4×SD16—591no—
1067C4×SD16—591no—
1068C4×D8—591no—
1069#436—591no—
1070#436—591no—
1071#435—591no—
1072#435—591no—
1073#435—591no—
1074#435—591no—
1075#433—591no—
1076#433—591no—
1077#432—591no—
1078#424—591no—
1079#424—591no—
1080#423—591no—
1081#417—591no—
1082#417—591no—
1083#417—591no—
1084#417—591no—
1085C2×#103—591no—
1086C2×#102—591no—
1087C59#6207811yescharacteristic, complemented, Sylow
1088C2×#41—21no—
1089C2×#41—21no—
1090C2×#41—21no—
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—591no—
1094C2×#41—591no—
1095C2×#41C22×D5911yescharacteristic
1096C2×#41C22×D5911yescharacteristic
1097C22×Q8—591no—
1098C22×Q8C22×D5911yescharacteristic
1099C22×D4—591no—
1100#137—2362no—
1101#137—2362no—
1102#137—2362no—
1103AGL(1,ℤ/8)—2362no—
1104#135—2362no—
1105#135—2362no—
1106C2×Q16—591no—
1107C2×Q16—591no—
1108C2×Q16—591no—
1109C2×Q16—591no—
1110C2×Q16—591no—
1111C2×Q16—591no—
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×D8—591no—
1125C2×D8—591no—
1126C2×D8—591no—
1127C2×D8—591no—
1128C2×D8—591no—
1129C2×D8—591no—
1130C2×M16—591no—
1131C2×M16—591no—
1132C2×M16—591no—
1133C2×M16—591no—
1134C22×C8—591no—
1135C22×C8—591no—
1136C4⋊Q8—21no—
1137C4⋊Q8—21no—
1138C4⋊Q8—21no—
1139C4⋊Q8—591no—
1140C4⋊Q8—591no—
1141C4⋊Q8C22×D5911yescharacteristic
1142C4⋊Q8C22×D5911yescharacteristic
1143C4⋊Q8C22×D5911yescharacteristic
1144#127—21no—
1145#127—591no—
1146#127—591no—
1147#127—1181no—
1148#127C22×D5911yescharacteristic
1149#126—21no—
1150#126—21no—
1151#126—1181no—
1152#126—1181no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#126C22⋊D5911yescharacteristic
1157#126C22⋊D5911yescharacteristic
1158#125—21no—
1159#125—591no—
1160#125—1181no—
1161#125—1181no—
1162#125C22⋊D5911yescharacteristic
1163#124—21no—
1164#124—21no—
1165#124—21no—
1166#124—21no—
1167#124—21no—
1168#124—21no—
1169#124—591no—
1170#124—591no—
1171#124—591no—
1172#124—591no—
1173#124—591no—
1174#124—1181no—
1175#124—1181no—
1176#124—1181no—
1177#124C22⋊D5911yescharacteristic
1178#124C22×D5911yescharacteristic
1179#124C22×D5911yescharacteristic
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—1181no—
1189#123—1181no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123C22⋊D5911yescharacteristic
1200#123C22⋊D5911yescharacteristic
1201C22⋊Q8—21no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8C22⋊D5911yescharacteristic
1218C22⋊Q8C22×D5911yescharacteristic
1219C22⋊Q8C22×D5911yescharacteristic
1220#121—21no—
1221#121—21no—
1222#121—21no—
1223#121—21no—
1224#121—21no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—1181no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121C22⋊D5911yescharacteristic
1242#121C22×D5911yescharacteristic
1243#121C22×D5911yescharacteristic
1244#121C22×D5911yescharacteristic
1245#121C22×D5911yescharacteristic
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250C4×Q8—21no—
1251C4×Q8—21no—
1252C4×Q8—21no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8C22×D5911yescharacteristic
1257C4×Q8C22×D5911yescharacteristic
1258C4×Q8C22×D5911yescharacteristic
1259C4×Q8C22×D5911yescharacteristic
1260C4×Q8C22×D5911yescharacteristic
1261C4×Q8C22×D5911yescharacteristic
1262C4×Q8C22×D5911yescharacteristic
1263C4×D4—21no—
1264C4×D4—21no—
1265C4×D4—21no—
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4C22×D5911yescharacteristic
1284C4×D4C22×D5911yescharacteristic
1285C4×D4C22×D5911yescharacteristic
1286C4×D4C22×D5911yescharacteristic
1287C4×D4C22×D5911yescharacteristic
1288C4×D4C22×D5911yescharacteristic
1289C4×D4C22×D5911yescharacteristic
1290#117—21no—
1291#117—21no—
1292#117—1181no—
1293#117—1181no—
1294#117C22×D5911yescharacteristic
1295#117C22×D5911yescharacteristic
1296C2×C4⋊C4—21no—
1297C2×C4⋊C4—21no—
1298C2×C4⋊C4—21no—
1299C2×C4⋊C4—1181no—
1300C2×C4⋊C4C22×D5911yescharacteristic
1301C2×C4⋊C4C22×D5911yescharacteristic
1302C2×C4⋊C4C22×D5911yescharacteristic
1303C2×C22⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C42—21no—
1306C2×C42C22×D5911yescharacteristic
1307#107—591no—
1308#107—591no—
1309#107—591no—
1310#107—591no—
1311#106—591no—
1312#106—591no—
1313#106—591no—
1314#106—591no—
1315C4⋊C8—591no—
1316C4⋊C8—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8—591no—
1324C4⋊C8—591no—
1325#103—591no—
1326#103—591no—
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103—591no—
1333#103—591no—
1334#103—591no—
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#103—591no—
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357C22⋊C8—591no—
1358C22⋊C8—591no—
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8—591no—
1362C22⋊C8—591no—
1363#97—591no—
1364#97—591no—
1365#97—591no—
1366#97—591no—
1367C4×C8—591no—
1368C4×C8—591no—
1369C24—1181no—
1370#41—22no—
1371#41—22no—
1372#41—41no—
1373#41—41no—
1374#41—82no—
1375#41—82no—
1376#41—82no—
1377#41—2361no—
1378#41—2361no—
1379#41—2361no—
1380#41—2361no—
1381#41—2361no—
1382#41—2361no—
1383#41—2361no—
1384#41—2361no—
1385C2×Q8—21no—
1386C2×Q8—21no—
1387C2×Q8—21no—
1388C2×Q8—21no—
1389C2×Q8—22no—
1390C2×Q8—41no—
1391C2×Q8—591no—
1392C2×Q8—591no—
1393C2×Q8—591no—
1394C2×Q8—1181no—
1395C2×Q8—2361no—
1396C2×Q8—2361no—
1397C2×Q8C2×C22⋊D5911yescharacteristic
1398C2×Q8C23×D5911yescharacteristic
1399C2×Q8C23×D5911yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—591no—
1409C2×D4—591no—
1410C2×D4—591no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—2361no—
1424C2×D4—2361no—
1425C2×D4C2×C22⋊D5911yescharacteristic
1426C2×D4C2×C22⋊D5911yescharacteristic
1427C2×D4C2×C22⋊D5911yescharacteristic
1428C2×D4C23×D5911yescharacteristic
1429C2×D4C23×D5911yescharacteristic
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4C2×C22⋊D5911yescharacteristic
1449C22×C4C2×C22⋊D5911yescharacteristic
1450C22×C4C23×D5911yescharacteristic
1451C22×C4C23×D5911yescharacteristic
1452C22×C4C23×D5911yescharacteristic
1453Q16—1182no—
1454Q16—1182no—
1455Q16—1182no—
1456Q16—2361no—
1457Q16—2361no—
1458Q16—2361no—
1459SD16—1182no—
1460SD16—1182no—
1461SD16—1182no—
1462SD16—2361no—
1463SD16—2361no—
1464SD16—2361no—
1465SD16—2361no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469SD16—2361no—
1470SD16—2361no—
1471D8—2361no—
1472D8—2361no—
1473D8—2361no—
1474D8—2361no—
1475D8—2361no—
1476D8—2361no—
1477M16—2361no—
1478M16—2361no—
1479M16—2361no—
1480M16—2361no—
1481C2×C8—591no—
1482C2×C8—591no—
1483C2×C8—591no—
1484C2×C8—591no—
1485C2×C8—591no—
1486C2×C8—591no—
1487C2×C8—591no—
1488C2×C8—591no—
1489C2×C8—2361no—
1490C2×C8—2361no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—591no—
1506C4⋊C4—591no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4C2×C22⋊D5911yescharacteristic
1520C4⋊C4C2×C22⋊D5911yescharacteristic
1521C4⋊C4C2×C22⋊D5911yescharacteristic
1522C4⋊C4C2×C22⋊D5911yescharacteristic
1523C4⋊C4C2×C22⋊D5911yescharacteristic
1524C4⋊C4C2×C22⋊D5911yescharacteristic
1525C4⋊C4C2×C22⋊D5911yescharacteristic
1526C4⋊C4C2×C22⋊D5911yescharacteristic
1527C4⋊C4C2×C22⋊D5911yescharacteristic
1528C4⋊C4C2×C22⋊D5911yescharacteristic
1529C4⋊C4C23×D5911yescharacteristic
1530C4⋊C4C23×D5911yescharacteristic
1531C4⋊C4C23×D5911yescharacteristic
1532C4⋊C4C23×D5911yescharacteristic
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—1181no—
1548C22⋊C4—1181no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4C2×C22⋊D5911yescharacteristic
1567C22⋊C4C2×C22⋊D5911yescharacteristic
1568C22⋊C4C2×C22⋊D5911yescharacteristic
1569C22⋊C4C2×C22⋊D5911yescharacteristic
1570C22⋊C4C2×C22⋊D5911yescharacteristic
1571C22⋊C4C2×C22⋊D5911yescharacteristic
1572C22⋊C4C2×C22⋊D5911yescharacteristic
1573C22⋊C4C2×C22⋊D5911yescharacteristic
1574C22⋊C4C2×C22⋊D5911yescharacteristic
1575C22⋊C4C2×C22⋊D5911yescharacteristic
1576C42—21no—
1577C42—21no—
1578C42—21no—
1579C42—21no—
1580C42—21no—
1581C42—21no—
1582C42—1181no—
1583C42—1181no—
1584C42—1181no—
1585C42C2×C22⋊D5911yescharacteristic
1586C42C2×C22⋊D5911yescharacteristic
1587C42C23×D5911yescharacteristic
1588C42C23×D5911yescharacteristic
1589C42C23×D5911yescharacteristic
1590C42C23×D5911yescharacteristic
1591C23—21no—
1592C23—21no—
1593C23—1181no—
1594C23—1181no—
1595C23—1181no—
1596C23—4721no—
1597C23—4721no—
1598C23—4721no—
1599C23C22×C22⋊D5911yescharacteristic
1600C23C22×C22⋊D5911yescharacteristic
1601C23C22×C22⋊D5911yescharacteristic
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—41no—
1606Q8—42no—
1607Q8—81no—
1608Q8—81no—
1609Q8—81no—
1610Q8—1181no—
1611Q8—1181no—
1612Q8—1181no—
1613Q8—1181no—
1614Q8—1181no—
1615Q8—1181no—
1616Q8—4721no—
1617Q8#1427377312yes—
1618D4—21no—
1619D4—21no—
1620D4—21no—
1621D4—21no—
1622D4—41no—
1623D4—41no—
1624D4—41no—
1625D4—42no—
1626D4—42no—
1627D4—42no—
1628D4—42no—
1629D4—42no—
1630D4—81no—
1631D4—81no—
1632D4—81no—
1633D4—1181no—
1634D4—1181no—
1635D4—1181no—
1636D4—1181no—
1637D4—1181no—
1638D4—1181no—
1639D4—4721no—
1640D4—4721no—
1641D4—4721no—
1642D4—4721no—
1643D4—4721no—
1644D4—4721no—
1645D4—4721no—
1646D4—4721no—
1647D4—4721no—
1648D4—4721no—
1649D4—4721no—
1650D4—4721no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—42no—
1666C2×C4—42no—
1667C2×C4—42no—
1668C2×C4—42no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—4721no—
1681C2×C4—4721no—
1682C2×C4—4721no—
1683C2×C4—4721no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—4721no—
1688C2×C4C22×C22⋊D5911yescharacteristic
1689C2×C4C22×C22⋊D5911yescharacteristic
1690C2×C4C22×C22⋊D5911yescharacteristic
1691C2×C4C22×C22⋊D5911yescharacteristic
1692C2×C4C22×C22⋊D5911yescharacteristic
1693C2×C4C22×C22⋊D5911yescharacteristic
1694C2×C4C22×C22⋊D5911yescharacteristic
1695C2×C4C22×C22⋊D5911yescharacteristic
1696C2×C4C22×C22⋊D5911yescharacteristic
1697C2×C4C22×C22⋊D5911yescharacteristic
1698C2×C4C22×C22⋊D5911yescharacteristic
1699C2×C4C24×D5911yescharacteristic
1700C8—1181no—
1701C8—1181no—
1702C8—1181no—
1703C8—1181no—
1704C8—1181no—
1705C8—1181no—
1706C8—1181no—
1707C8—1181no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—9442no—
1724C22—2361no—
1725C22—2361no—
1726C22—2361no—
1727C22—2361no—
1728C22—2361no—
1729C22—2361no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22C23×C22⋊D5911yescharacteristic
1734C4—21no—
1735C4—21no—
1736C4—21no—
1737C4—22no—
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—2361no—
1752C4—2361no—
1753C4—2361no—
1754C4—2361no—
1755C4—2361no—
1756C4C2×#1427377311yescharacteristic
1757C4#1683823811yescharacteristic
1758C2—41no—
1759C2—41no—
1760C2—41no—
1761C2—81no—
1762C2—81no—
1763C2—4721no—
1764C2—4721no—
1765C2—4721no—
1766C2#2143776511yescharacteristic
1767C2#2143887611yescharacteristic
1768C2#2143888311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3522C2
socleC22×C59C23×D4
hypercenter#3522D59
hypocenterC59#62078
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #529 ◁ #3522

Complements

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

NH ≅ G/Ntype
1. #21438684C2semidirect
2. #21437180C2semidirect
3. #21437156C2semidirect
4. #21436910C2semidirect
5. #21436836C2semidirect
6. #21436417C2semidirect
7. #21436395C2semidirect
8. #21436201C2semidirect
9. #21436171C2semidirect
10. #21436081C2semidirect
11. #21436051C2semidirect
12. #21435749C2semidirect
13. #21435728C2semidirect
14. #21435682C2semidirect
15. #21435677C2semidirect
16. #21435652C2semidirect
17. #21435637C2semidirect
18. #21435522C2semidirect
19. #21435507C2semidirect
20. #21435452C2semidirect
21. #21435199C2semidirect
22. #21435184C2semidirect
23. #21435087C2semidirect
24. #21434310C2semidirect
25. #21434295C2semidirect
26. #21434267C2semidirect
27. #21433646C2semidirect
28. #21433635C2semidirect
29. #21433568C2semidirect
30. #21433266C2semidirect
31. C59×#3522C2semidirect
33. C2×#14273758C22semidirect
34. C2×#14273757C22semidirect
60. #16837797C22semidirect
63. #16837789C22semidirect
69. #16837764C22semidirect
70. #16837754C22semidirect
73. #16837737C22semidirect
76. #16837720C22semidirect
78. #16837709C22semidirect
79. #16837709C22semidirect
80. #16837702C22semidirect
81. #16837702C22semidirect
82. #16837694C22semidirect
84. #16837684C22semidirect
85. #16837684C22semidirect
87. #16837679C22semidirect
91. #16837653C22semidirect
94. #16837646C22semidirect
95. #16837646C22semidirect
98. #16837633C22semidirect
106. #16837624C22semidirect
107. #16837624C22semidirect
108. #16837621C22semidirect
109. #16837621C22semidirect
115. #16837614C22semidirect
116. #16837612C22semidirect
117. #16837612C22semidirect
118. #16837612C22semidirect
119. #16837607C22semidirect
120. #16837607C22semidirect
121. #16837607C22semidirect
125. #16837599C22semidirect
134. #16837558C22semidirect
135. #16837557C22semidirect
138. #16837547C22semidirect
143. #16837545C22semidirect
144. #16837545C22semidirect
146. #16837540C22semidirect
148. #16837533C22semidirect
149. #16837533C22semidirect
151. #16837507C22semidirect
152. #16837507C22semidirect
153. #16837507C22semidirect
154. #16837502C22semidirect
157. #16837500C22semidirect
158. C4×#11745672C22semidirect
160. C4×#11745670C22semidirect
161. C4×#11745669C22semidirect
163. #16837480C22semidirect
167. #16837474C22semidirect
169. #16837463C22semidirect
170. #16837459C22semidirect
172. #16837429C22semidirect
173. #16837426C22semidirect
177. #16837401C22semidirect
178. C2×#14273650C22semidirect
181. C59×#559C22semidirect
182. Q82×C59C22semidirect
187. C59×#548C22semidirect
191. C59×#547C22semidirect
195. C59×#542C22semidirect
197. C59×#532C22semidirect
201. C59×#520C22semidirect
202. C2×C4×Q8×C59C22semidirect
875. #3522D59semidirect
926. #559C2×D59semidirect
927. Q82C2×D59semidirect
938. #548C2×D59semidirect
943. #547C2×D59semidirect
949. #542C2×D59semidirect
960. #532C2×D59semidirect
965. #520C2×D59semidirect
966. C2×C4×Q8C2×D59semidirect
1087. C59#62078semidirect

Maximal subgroups

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

subgroupindex
#214386842
#214371802
#214371562
#214369102
#214368362
#214364172
#214363952
#214362012
#214361712
#214360812
#214360512
#214357492
#214357282
#214356822
#214356772
#214356522
#214356372
#214355222
#214355072
#214354522
#214351992
#214351842
#214350872
#214343102
#214342952
#214342672
#214336462
#214336352
#214335682
#214332662
C59×#35222
#6207859