Finite Group Databasebeta

← #29482484

Subgroups — #29482484

Order 15104.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438684C211yesmaximal, characteristic, complemented
2#21437156C211yesmaximal, characteristic, complemented
3#21437104C211yesmaximal, characteristic, complemented
4#21436849C211yesmaximal, characteristic, complemented
5#21436745C211yesmaximal, characteristic, complemented
6#21436395C211yesmaximal, characteristic, complemented
7#21436358C211yesmaximal, characteristic, complemented
8#21436343C211yesmaximal, characteristic, complemented
9#21436216C211yesmaximal, characteristic, complemented
10#21436051C211yesmaximal, characteristic, complemented
11#21435940C211yesmaximal, characteristic, complemented
12#21435799C211yesmaximal, characteristic, complemented
13#21435712C211yesmaximal, characteristic, complemented
14#21435703C211yesmaximal, characteristic, complemented
15#21435703C211yesmaximal, characteristic, complemented
16#21435617C211yesmaximal, characteristic, complemented
17#21435587C211yesmaximal, characteristic, complemented
18#21435542C211yesmaximal, characteristic, complemented
19#21435507C211yesmaximal, characteristic, complemented
20#21435492C211yesmaximal, characteristic, complemented
21#21435199C211yesmaximal, characteristic, complemented
22#21435140C211yesmaximal, characteristic, complemented
23#21435068C211yesmaximal, characteristic, complemented
24#21434339C211yesmaximal, characteristic, complemented
25#21434310C211yesmaximal, characteristic, complemented
26#21434143C211yesmaximal, characteristic, complemented
27#21433635C211yesmaximal, characteristic, complemented
28#21433608C211yesmaximal, characteristic, complemented
29#21433560C211yesmaximal, characteristic, complemented
30#21433245C211yesmaximal, characteristic, complemented
31C59×#3513C211yesmaximal, characteristic, complemented
32C2×#14273753C2211yescharacteristic
33C2×#14273753C2211yescharacteristic
34C2×#14273753C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic
36C2×#14273747C2211yescharacteristic
37C22×#11745670C2211yescharacteristic, complemented
38#16838148—21no—
39#16838140—21no—
40#16838137C2211yescharacteristic, complemented
41#16838125C2211yescharacteristic, complemented
42#16838103—21no—
43#16838077—21no—
44#16838073C2211yescharacteristic
45#16838061C2211yescharacteristic
46#16838061C2211yescharacteristic, complemented
47#16838057C2211yescharacteristic, complemented
48#16838048C2211yescharacteristic, complemented
49#16838048C2211yescharacteristic, complemented
50#16838014C2211yescharacteristic, complemented
51#16838007C2211yescharacteristic, complemented
52#16838004—21no—
53#16838000—21no—
54#16837988—21no—
55#16837986—21no—
56#16837978C2211yescharacteristic, complemented
57#16837971C2211yescharacteristic, complemented
58#16837952C2211yescharacteristic, complemented
59#16837936C2211yescharacteristic, complemented
60#16837797C2211yescharacteristic, complemented
61#16837789C2211yescharacteristic
62#16837784C2211yescharacteristic, complemented
63#16837784C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic, complemented
65#16837778C2211yescharacteristic
66#16837768C2211yescharacteristic, complemented
67#16837764C2211yescharacteristic, complemented
68#16837759C2211yescharacteristic, complemented
69#16837759C2211yescharacteristic, complemented
70#16837759C2211yescharacteristic, complemented
71#16837754C2211yescharacteristic, complemented
72#16837737C2211yescharacteristic, complemented
73#16837737C2211yescharacteristic, complemented
74#16837732C2211yescharacteristic, complemented
75#16837726C2211yescharacteristic, complemented
76#16837726C2211yescharacteristic, complemented
77#16837720C2211yescharacteristic, complemented
78#16837709C2211yescharacteristic, complemented
79#16837706C2211yescharacteristic, complemented
80#16837706C2211yescharacteristic, complemented
81#16837706C2211yescharacteristic, complemented
82#16837702C2211yescharacteristic, complemented
83#16837702C2211yescharacteristic, complemented
84#16837702C2211yescharacteristic, complemented
85#16837699C2211yescharacteristic, complemented
86#16837689C2211yescharacteristic, complemented
87#16837679C2211yescharacteristic, complemented
88#16837658C2211yescharacteristic, complemented
89#16837653C2211yescharacteristic
90#16837653C2211yescharacteristic, complemented
91#16837650C2211yescharacteristic, complemented
92#16837650C2211yescharacteristic, complemented
93#16837646C2211yescharacteristic, complemented
94#16837646C2211yescharacteristic, complemented
95#16837646C2211yescharacteristic, complemented
96#16837636C2211yescharacteristic
97#16837633C2211yescharacteristic, complemented
98#16837629C2211yescharacteristic, complemented
99#16837629C2211yescharacteristic, complemented
100#16837624C2211yescharacteristic, complemented
101#16837624C2211yescharacteristic, complemented
102#16837621C2211yescharacteristic, complemented
103#16837617C2211yescharacteristic
104#16837617C2211yescharacteristic
105#16837617C2211yescharacteristic
106#16837617C2211yescharacteristic
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#16837612C2211yescharacteristic, complemented
117#16837607C2211yescharacteristic, complemented
118#16837607C2211yescharacteristic, complemented
119#16837607C2211yescharacteristic, complemented
120#16837607C2211yescharacteristic, complemented
121#16837607C2211yescharacteristic, complemented
122#16837602C2211yescharacteristic, complemented
123#16837602C2211yescharacteristic, complemented
124#16837599C2211yescharacteristic, complemented
125#16837599C2211yescharacteristic, complemented
126#16837597C2211yescharacteristic
127#16837597C2211yescharacteristic
128#16837597C2211yescharacteristic, complemented
129#16837597C2211yescharacteristic, complemented
130#16837564C2211yescharacteristic
131#16837564C2211yescharacteristic
132#16837562C2211yescharacteristic, complemented
133#16837562C2211yescharacteristic, complemented
134#16837562C2211yescharacteristic, complemented
135#16837557C2211yescharacteristic, complemented
136#16837553C2211yescharacteristic, complemented
137#16837545C2211yescharacteristic
138#16837545C2211yescharacteristic
139#16837545C2211yescharacteristic, complemented
140#16837545C2211yescharacteristic, complemented
141#16837545C2211yescharacteristic, complemented
142#16837540C2211yescharacteristic, complemented
143#16837536C2211yescharacteristic
144#16837536C2211yescharacteristic
145#16837536C2211yescharacteristic, complemented
146#16837535C2211yescharacteristic, complemented
147#16837535C2211yescharacteristic, complemented
148#16837533C2211yescharacteristic, complemented
149Q8×C59⋊C8C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic, complemented
151#16837512C2211yescharacteristic, complemented
152#16837507C2211yescharacteristic, complemented
153#16837502C2211yescharacteristic, complemented
154C4×#11745672C2211yescharacteristic, complemented
155C4×#11745670C2211yescharacteristic, complemented
156C4×#11745670C2211yescharacteristic, complemented
157C4×#11745670C2211yescharacteristic, complemented
158C4×#11745669C2211yescharacteristic
159C4×#11745669C2211yescharacteristic
160C4×#11745669C2211yescharacteristic, complemented
161C4×#11745669C2211yescharacteristic, complemented
162#16837480C2211yescharacteristic, complemented
163#16837480C2211yescharacteristic, complemented
164#16837480C2211yescharacteristic, complemented
165#16837474C2211yescharacteristic, complemented
166#16837474C2211yescharacteristic, complemented
167D4×C59⋊C8C2211yescharacteristic, complemented
168#16837463C2211yescharacteristic, complemented
169#16837463C2211yescharacteristic, complemented
170#16837455C2211yescharacteristic, complemented
171#16837429C2211yescharacteristic, complemented
172#16837429C2211yescharacteristic, complemented
173#16837426C2211yescharacteristic, complemented
174#16837410C2211yescharacteristic, 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
188C59×#546—21no—
189C59×#546C2211yescharacteristic
190C59×#546C2211yescharacteristic
191D42×C59C2211yescharacteristic, complemented
192C59×#542C2211yescharacteristic, complemented
193C59×#540C2211yescharacteristic
194C59×#539—21no—
195C59×#538—21no—
196C59×#529C2211yescharacteristic
197C59×#529C2211yescharacteristic, complemented
198C59×#525—21no—
199C2×#123×C59—21no—
200C59×#520C2211yescharacteristic
201C59×#518C2211yescharacteristic, complemented
202C2×C4×D4×C59C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C22×Dic118C2311yescharacteristic
208C22×D236C2311yescharacteristic
209#14273753—42no—
210#14273753—42no—
211#14273753—42no—
212#14273752—42no—
213#14273747—42no—
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745670—42no—
218C2×#11745670C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
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#14273650C2311yescharacteristic
344#14273650C2311yescharacteristic
345#14273650C2311yescharacteristic
346#14273650C2311yescharacteristic
347#14273650C2311yescharacteristic
348#14273650C2311yescharacteristic
349#14273650C2311yescharacteristic
350#14273650C2311yescharacteristic
351#14273650C2311yescharacteristic
352#14273650C2311yescharacteristic
353#14273650C2311yescharacteristic
354#14273650C2311yescharacteristic
355#14273648C2311yescharacteristic
356#14273648C2311yescharacteristic
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
381C4×C59⋊C8C2311yescharacteristic
382C4×C59⋊C8C2311yescharacteristic
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—
487#41×C59—22no—
488#41×C59—41no—
489#41×C59—82no—
490C2×Q8×C59—21no—
491C2×Q8×C59C2×D411yescharacteristic
492C2×Q8×C59C2411yescharacteristic
493C2×D4×C59—22no—
494C2×D4×C59—22no—
495C2×D4×C59—21no—
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—41no—
505C2×D4×C59—41no—
506C2×D4×C59—82no—
507C2×D4×C59C2×D411yescharacteristic
508C2×D4×C59C2×D411yescharacteristic
509C2×D4×C59C2×D411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59—21no—
520C22×C4×C59—21no—
521C22×C4×C59—21no—
522C22×C4×C59—21no—
523C22×C4×C59—21no—
524C22×C4×C59—82no—
525C22×C4×C59C2×D411yescharacteristic
526C22×C4×C59C2×D411yescharacteristic
527C22×C4×C59C2411yescharacteristic
528C22×C4×C59C2411yescharacteristic
529C22×C4×C59C2411yescharacteristic
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C22×Dic59—21no—
538#11745685—41no—
539#11745685—41no—
540#11745685—41no—
541#11745685—41no—
542#11745685—41no—
543#11745685—41no—
544#11745685—41no—
545#11745685—41no—
546C2×D236—21no—
547C2×D236—21no—
548C2×D236—21no—
549C2×D236—21no—
550C2×D236—21no—
551C2×D236—41no—
552C2×D236—41no—
553C2×D236C2411yescharacteristic
554C2×D236C2411yescharacteristic
555C2×D236C2411yescharacteristic
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×C4×D59—21no—
563C2×Dic118—21no—
564C2×Dic118—41no—
565C2×Dic118—41no—
566C2×Dic118C2411yescharacteristic
567C2×Dic118C2411yescharacteristic
568C2×Dic118C2411yescharacteristic
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×C59C2×D411yescharacteristic
581C4⋊C4×C59C2×D411yescharacteristic
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×C59C2411yescharacteristic
591C4⋊C4×C59C2411yescharacteristic
592C4⋊C4×C59C2411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×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×C59—21no—
611C22⋊C4×C59—21no—
612C22⋊C4×C59—21no—
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
620C22⋊C4×C59C2×D411yescharacteristic
621C22⋊C4×C59C2×D411yescharacteristic
622C22⋊C4×C59C2×D411yescharacteristic
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—41no—
636#11745672—41no—
637#11745672—41no—
638#11745671—41no—
639#11745671—41no—
640#11745671—41no—
641#11745670—22no—
642#11745670—22no—
643#11745670—22no—
644#11745670—41no—
645#11745670—41no—
646#11745670—41no—
647#11745670—41no—
648#11745670—41no—
649#11745670—41no—
650#11745669—22no—
651#11745669—22no—
652#11745669—22no—
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×C59—21no—
709C23×C59—42no—
710C23×C59—42no—
711C23×C59—42no—
712C23×C59—81no—
713C23×C59—81no—
714C23×C59—81no—
715C23×C59C22×D411yescharacteristic
716C23×C59C22×D411yescharacteristic
717C23×C59C22×D411yescharacteristic
718C22×D59—21no—
719C22×D59—21no—
720C22×D59—21no—
721C22×D59—81no—
722C22×D59—81no—
723C22×D59—81no—
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—41no—
727Q8×C59—81no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—41no—
734D4×C59—41no—
735D4×C59—41no—
736D4×C59—42no—
737D4×C59—42no—
738D4×C59—42no—
739D4×C59—42no—
740D4×C59—81no—
741D4×C59—81no—
742D4×C59—81no—
743D4×C59—81no—
744D4×C59—81no—
745D4×C59H(5,𝔽2)12yes—
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—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—41no—
758C2×C4×C59—41no—
759C2×C4×C59—42no—
760C2×C4×C59—42no—
761C2×C4×C59—81no—
762C2×C4×C59—81no—
763C2×C4×C59—81no—
764C2×C4×C59—81no—
765C2×C4×C59—81no—
766C2×C4×C59—81no—
767C2×C4×C59—81no—
768C2×C4×C59—81no—
769C2×C4×C59—81no—
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×C59C22×D411yescharacteristic
777C2×C4×C59C22×D411yescharacteristic
778C2×C4×C59C22×D411yescharacteristic
779C2×C4×C59C22×D411yescharacteristic
780C2×C4×C59C22×D411yescharacteristic
781C2×C4×C59C2511yescharacteristic
782C22⋊D59—81no—
783C22⋊D59—81no—
784C22⋊D59—81no—
785C22⋊D59—81no—
786C22⋊D59—81no—
787C22⋊D59—81no—
788C22⋊D59—81no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—81no—
795D236—21no—
796D236—21no—
797D236—21no—
798D236—21no—
799D236—21no—
800D236—21no—
801D236—81no—
802D236—81no—
803D236—81no—
804D236—81no—
805D236—81no—
806C4×D59—81no—
807C4×D59—81no—
808C4×D59—81no—
809C4×D59—81no—
810C4×D59—81no—
811C4×D59—81no—
812C4×D59—81no—
813Dic118—21no—
814Dic118—21no—
815Dic118—21no—
816Dic118—21no—
817Dic118—21no—
818Dic118—21no—
819Dic118—81no—
820C59⋊C8—21no—
821C59⋊C8—21no—
822C59⋊C8—21no—
823C59⋊C8—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8—21no—
827C59⋊C8—21no—
828#62027—591nomaximal, Sylow
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—21no—
832C22×C59—21no—
833C22×C59—21no—
834C22×C59—21no—
835C22×C59—21no—
836C22×C59—21no—
837C22×C59—21no—
838C22×C59—22no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—84no—
848C22×C59—162no—
849C22×C59C23×D411yescharacteristic
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—162no—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59—21no—
863C4×C59—21no—
864C4×C59—21no—
865C4×C59—21no—
866C4×C59—21no—
867C4×C59—21no—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—41no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59C2×H(5,𝔽2)11yescharacteristic
877C4×C59#58511yescharacteristic
878Dic59—41no—
879Dic59—41no—
880Dic59—41no—
881Dic59—41no—
882Dic59—41no—
883#3562—591no—
884#3513D5911yescharacteristic, complemented
885#3401—591no—
886#3396—591no—
887#3370—591no—
888#3360—591no—
889#3330—591no—
890#3327—591no—
891#3326—591no—
892#3317—591no—
893#3306—591no—
894#3297—591no—
895#3282—591no—
896#3274—591no—
897#3273—591no—
898#3273—591no—
899#3267—591no—
900#3265—591no—
901#3260—591no—
902#3257—591no—
903#3256—591no—
904#3225—591no—
905#3220—591no—
906#3212—591no—
907#3122—591no—
908#3120—591no—
909#3105—591no—
910#3045—591no—
911#3042—591no—
912#3036—591no—
913#2993—591no—
914C2×C59—41no—
915C2×C59—41no—
916C2×C59—41no—
917C2×C59—42no—
918C2×C59—81no—
919C2×C59—81no—
920C2×C59#348811yescharacteristic
921C2×C59#358411yescharacteristic
922C2×C59#358511yescharacteristic
923D59—81no—
924D59—81no—
925D59—81no—
926C2×AGL(1,ℤ/8)—591no—
927C2×AGL(1,ℤ/8)—591no—
928C2×AGL(1,ℤ/8)—591no—
929C2×AGL(1,ℤ/8)—591no—
930C2×#135—591no—
931C22×SD16—591no—
932#562—1181no—
933#560—1181no—
934#559—591no—
935#559C2×D5911yescharacteristic, complemented
936#556—591no—
937#554C2×D5911yescharacteristic, complemented
938#553—21no—
939#553—1181no—
940#553C2×D5911yescharacteristic
941#552C2×D5911yescharacteristic, complemented
942#551—21no—
943#551—21no—
944#551—1181no—
945#550—591no—
946#548—591no—
947#548—591no—
948#547—591no—
949#547C2×D5911yescharacteristic
950#546—21no—
951#546—591no—
952#546—591no—
953#546C2×D5911yescharacteristic
954#546C2×D5911yescharacteristic
955D42C2×D5911yescharacteristic, complemented
956#542C2×D5911yescharacteristic, complemented
957#541—591no—
958#540—591no—
959#540—1181no—
960#540C2×D5911yescharacteristic
961#539—21no—
962#539—1181no—
963#538—21no—
964#538—1181no—
965#538—1181no—
966#536—591no—
967#535—591no—
968#532—591no—
969#529—591no—
970#529C2×D5911yescharacteristic
971#529C2×D5911yescharacteristic, complemented
972#525—21no—
973C2×#123—21no—
974#520C2×D5911yescharacteristic
975#518C2×D5911yescharacteristic, complemented
976C2×C4×D4C2×D5911yescharacteristic, complemented
977#497—591no—
978#496—591no—
979#495—591no—
980#495—591no—
981#495—591no—
982#493—591no—
983#490—591no—
984#489—591no—
985#488—591no—
986#488—591no—
987#488—591no—
988#487—591no—
989#484—591no—
990#484—591no—
991#483—591no—
992#482—591no—
993#482—591no—
994#481—591no—
995#479—591no—
996#479—591no—
997#479—591no—
998#479—591no—
999#478—591no—
1000#478—591no—
1001#478—591no—
1002#478—591no—
1003#476—591no—
1004#474—591no—
1005#470—591no—
1006#469—591no—
1007#469—591no—
1008#468—591no—
1009#468—591no—
1010#468—591no—
1011#468—591no—
1012#468—591no—
1013#466—591no—
1014#465—591no—
1015#465—591no—
1016#465—591no—
1017#464—591no—
1018#464—591no—
1019#464—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#463—591no—
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#463—591no—
1030#463—591no—
1031#463—591no—
1032#463—591no—
1033#462—591no—
1034#461—591no—
1035#461—591no—
1036#461—591no—
1037#461—591no—
1038#461—591no—
1039#460—591no—
1040#460—591no—
1041#460—591no—
1042#460—591no—
1043#459—591no—
1044#459—591no—
1045#459—591no—
1046#459—591no—
1047#452—591no—
1048#452—591no—
1049#452—591no—
1050#452—591no—
1051#452—591no—
1052#451—591no—
1053#450—591no—
1054#449—591no—
1055#449—591no—
1056#449—591no—
1057#449—591no—
1058#449—591no—
1059#448—591no—
1060#447—591no—
1061#447—591no—
1062#447—591no—
1063#447—591no—
1064#447—591no—
1065#446—591no—
1066C8×Q8—591no—
1067#442—591no—
1068#442—591no—
1069#441—591no—
1070#440—591no—
1071C4×Q16—591no—
1072C4×SD16—591no—
1073C4×SD16—591no—
1074C4×SD16—591no—
1075C4×D8—591no—
1076C4×D8—591no—
1077C4×D8—591no—
1078C4×D8—591no—
1079#436—591no—
1080#436—591no—
1081#436—591no—
1082#435—591no—
1083#435—591no—
1084C8×D4—591no—
1085#433—591no—
1086#433—591no—
1087#431—591no—
1088#424—591no—
1089#424—591no—
1090#423—591no—
1091#419—591no—
1092#417—591no—
1093#417—591no—
1094#417—591no—
1095#416—591no—
1096C2×#102—591no—
1097C59#6202711yescharacteristic, complemented, Sylow
1098C2×#41—21no—
1099C2×#41—591no—
1100C2×#41—591no—
1101C2×#41—591no—
1102C2×#41—591no—
1103C2×#41C22×D5911yescharacteristic
1104C22×Q8—591no—
1105C22×D4—21no—
1106C22×D4—591no—
1107C22×D4C22×D5911yescharacteristic
1108C22×D4C22×D5911yescharacteristic
1109C23×C4—21no—
1110AGL(1,ℤ/8)—2362no—
1111AGL(1,ℤ/8)—2362no—
1112AGL(1,ℤ/8)—2362no—
1113AGL(1,ℤ/8)—2362no—
1114#135—2362no—
1115C2×Q16—591no—
1116C2×Q16—591no—
1117C2×Q16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—591no—
1127C2×SD16—591no—
1128C2×SD16—591no—
1129C2×SD16—591no—
1130C2×SD16—2362no—
1131C2×D8—591no—
1132C2×D8—591no—
1133C2×D8—591no—
1134C2×D8—591no—
1135C2×D8—591no—
1136C2×D8—591no—
1137C2×D8—591no—
1138C2×D8—591no—
1139C2×D8—591no—
1140C2×M16—591no—
1141C2×M16—591no—
1142C2×M16—591no—
1143C2×M16—591no—
1144C22×C8—591no—
1145C22×C8—591no—
1146C4⋊Q8—591no—
1147C4⋊Q8—591no—
1148C4⋊Q8C22×D5911yescharacteristic
1149#127—591no—
1150#127—591no—
1151#127—1181no—
1152#127C22×D5911yescharacteristic
1153#126—21no—
1154#126—21no—
1155#126—21no—
1156#126—21no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#126—1181no—
1161#126—1181no—
1162#126C22⋊D5911yescharacteristic
1163#126C22⋊D5911yescharacteristic
1164#125—21no—
1165#125—591no—
1166#125—1181no—
1167#125—1181no—
1168#125C22⋊D5911yescharacteristic
1169#125C22×D5911yescharacteristic
1170#125C22×D5911yescharacteristic
1171#124—21no—
1172#124—21no—
1173#124—591no—
1174#124—591no—
1175#124—591no—
1176#124—591no—
1177#124—591no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124C22⋊D5911yescharacteristic
1182#124C22×D5911yescharacteristic
1183#124C22×D5911yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123C22⋊D5911yescharacteristic
1208#123C22⋊D5911yescharacteristic
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—21no—
1214C22⋊Q8—591no—
1215C22⋊Q8—591no—
1216C22⋊Q8—591no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8C22⋊D5911yescharacteristic
1223C22⋊Q8C22×D5911yescharacteristic
1224C22⋊Q8C22×D5911yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—591no—
1232#121—591no—
1233#121—591no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121C22⋊D5911yescharacteristic
1248#121C22×D5911yescharacteristic
1249#121C22×D5911yescharacteristic
1250#121C22×D5911yescharacteristic
1251#121C22×D5911yescharacteristic
1252#120—21no—
1253#120—21no—
1254#120—21no—
1255#120—21no—
1256#120—1181no—
1257#120—1181no—
1258#120—1181no—
1259#120—1181no—
1260C4×Q8—591no—
1261C4×Q8—591no—
1262C4×Q8—591no—
1263C4×Q8C22×D5911yescharacteristic
1264C4×Q8C22×D5911yescharacteristic
1265C4×Q8C22×D5911yescharacteristic
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4C22×D5911yescharacteristic
1286C4×D4C22×D5911yescharacteristic
1287C4×D4C22×D5911yescharacteristic
1288C4×D4C22×D5911yescharacteristic
1289C4×D4C22×D5911yescharacteristic
1290C4×D4C22×D5911yescharacteristic
1291C4×D4C22×D5911yescharacteristic
1292C4×D4C22×D5911yescharacteristic
1293C4×D4C22×D5911yescharacteristic
1294C4×D4C22×D5911yescharacteristic
1295C4×D4C22×D5911yescharacteristic
1296#117—21no—
1297#117—21no—
1298#117—21no—
1299#117—1181no—
1300#117—1181no—
1301#117C22×D5911yescharacteristic
1302#117C22×D5911yescharacteristic
1303#117C22×D5911yescharacteristic
1304C2×C4⋊C4—21no—
1305C2×C4⋊C4—21no—
1306C2×C4⋊C4—1181no—
1307C2×C4⋊C4C22×D5911yescharacteristic
1308C2×C4⋊C4C22×D5911yescharacteristic
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—21no—
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—21no—
1314C2×C22⋊C4—1181no—
1315C2×C22⋊C4—1181no—
1316C2×C42C22×D5911yescharacteristic
1317#107—591no—
1318#107—591no—
1319#107—591no—
1320#107—591no—
1321#106—591no—
1322#106—591no—
1323#106—591no—
1324#106—591no—
1325C4⋊C8—591no—
1326C4⋊C8—591no—
1327C4⋊C8—591no—
1328C4⋊C8—591no—
1329C4⋊C8—591no—
1330C4⋊C8—591no—
1331C4⋊C8—591no—
1332C4⋊C8—591no—
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#103—591no—
1341#103—591no—
1342#103—591no—
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—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—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367C22⋊C8—591no—
1368C22⋊C8—591no—
1369C22⋊C8—591no—
1370C22⋊C8—591no—
1371C22⋊C8—591no—
1372C22⋊C8—591no—
1373#97—591no—
1374#97—591no—
1375C4×C8—591no—
1376C4×C8—591no—
1377C4×C8—591no—
1378C4×C8—591no—
1379C24—21no—
1380C24—21no—
1381C24—1181no—
1382#41—22no—
1383#41—41no—
1384#41—82no—
1385#41—2361no—
1386#41—2361no—
1387#41—2361no—
1388#41—2361no—
1389#41—2361no—
1390#41—2361no—
1391#41—2361no—
1392#41—2361no—
1393C2×Q8—21no—
1394C2×Q8—591no—
1395C2×Q8—591no—
1396C2×Q8—591no—
1397C2×Q8—1181no—
1398C2×Q8—2361no—
1399C2×Q8—2361no—
1400C2×Q8C2×C22⋊D5911yescharacteristic
1401C2×Q8C23×D5911yescharacteristic
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—82no—
1416C2×D4—591no—
1417C2×D4—591no—
1418C2×D4—591no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—2361no—
1432C2×D4—2361no—
1433C2×D4C2×C22⋊D5911yescharacteristic
1434C2×D4C2×C22⋊D5911yescharacteristic
1435C2×D4C2×C22⋊D5911yescharacteristic
1436C2×D4C23×D5911yescharacteristic
1437C2×D4C23×D5911yescharacteristic
1438C2×D4C23×D5911yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—82no—
1451C22×C4—1181no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4C2×C22⋊D5911yescharacteristic
1460C22×C4C2×C22⋊D5911yescharacteristic
1461C22×C4C23×D5911yescharacteristic
1462C22×C4C23×D5911yescharacteristic
1463C22×C4C23×D5911yescharacteristic
1464Q16—2361no—
1465Q16—2361no—
1466Q16—2361no—
1467SD16—1182no—
1468SD16—1182no—
1469SD16—1182no—
1470SD16—2361no—
1471SD16—2361no—
1472SD16—2361no—
1473SD16—2361no—
1474SD16—2361no—
1475SD16—2361no—
1476SD16—2361no—
1477SD16—2361no—
1478SD16—2361no—
1479D8—1182no—
1480D8—1182no—
1481D8—1182no—
1482D8—2361no—
1483D8—2361no—
1484D8—2361no—
1485D8—2361no—
1486D8—2361no—
1487D8—2361no—
1488M16—2361no—
1489M16—2361no—
1490M16—2361no—
1491M16—2361no—
1492C2×C8—591no—
1493C2×C8—591no—
1494C2×C8—591no—
1495C2×C8—591no—
1496C2×C8—591no—
1497C2×C8—591no—
1498C2×C8—591no—
1499C2×C8—591no—
1500C2×C8—2361no—
1501C2×C8—2361no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—591no—
1514C4⋊C4—591no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4C2×C22⋊D5911yescharacteristic
1528C4⋊C4C2×C22⋊D5911yescharacteristic
1529C4⋊C4C2×C22⋊D5911yescharacteristic
1530C4⋊C4C2×C22⋊D5911yescharacteristic
1531C4⋊C4C2×C22⋊D5911yescharacteristic
1532C4⋊C4C2×C22⋊D5911yescharacteristic
1533C4⋊C4C2×C22⋊D5911yescharacteristic
1534C4⋊C4C2×C22⋊D5911yescharacteristic
1535C4⋊C4C2×C22⋊D5911yescharacteristic
1536C4⋊C4C2×C22⋊D5911yescharacteristic
1537C4⋊C4C23×D5911yescharacteristic
1538C4⋊C4C23×D5911yescharacteristic
1539C4⋊C4C23×D5911yescharacteristic
1540C4⋊C4C23×D5911yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4C2×C22⋊D5911yescharacteristic
1580C22⋊C4C2×C22⋊D5911yescharacteristic
1581C22⋊C4C2×C22⋊D5911yescharacteristic
1582C22⋊C4C2×C22⋊D5911yescharacteristic
1583C22⋊C4C2×C22⋊D5911yescharacteristic
1584C22⋊C4C2×C22⋊D5911yescharacteristic
1585C22⋊C4C2×C22⋊D5911yescharacteristic
1586C22⋊C4C2×C22⋊D5911yescharacteristic
1587C22⋊C4C2×C22⋊D5911yescharacteristic
1588C22⋊C4C2×C22⋊D5911yescharacteristic
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—1181no—
1593C42—1181no—
1594C42—1181no—
1595C42C2×C22⋊D5911yescharacteristic
1596C42C2×C22⋊D5911yescharacteristic
1597C42C23×D5911yescharacteristic
1598C42C23×D5911yescharacteristic
1599C42C23×D5911yescharacteristic
1600C42C23×D5911yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—42no—
1605C23—42no—
1606C23—42no—
1607C23—81no—
1608C23—81no—
1609C23—81no—
1610C23—1181no—
1611C23—1181no—
1612C23—1181no—
1613C23—4721no—
1614C23—4721no—
1615C23—4721no—
1616C23C22×C22⋊D5911yescharacteristic
1617C23C22×C22⋊D5911yescharacteristic
1618C23C22×C22⋊D5911yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—41no—
1622Q8—81no—
1623Q8—1181no—
1624Q8—1181no—
1625Q8—1181no—
1626Q8—1181no—
1627Q8—1181no—
1628Q8—1181no—
1629Q8—4721no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—41no—
1636D4—41no—
1637D4—41no—
1638D4—42no—
1639D4—42no—
1640D4—42no—
1641D4—42no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—1181no—
1648D4—1181no—
1649D4—1181no—
1650D4—1181no—
1651D4—1181no—
1652D4—1181no—
1653D4—4721no—
1654D4—4721no—
1655D4—4721no—
1656D4—4721no—
1657D4—4721no—
1658D4—4721no—
1659D4—4721no—
1660D4—4721no—
1661D4—4721no—
1662D4—4721no—
1663D4—4721no—
1664D4—4721no—
1665D4#1427377312yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—42no—
1680C2×C4—42no—
1681C2×C4—81no—
1682C2×C4—81no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—4721no—
1696C2×C4—4721no—
1697C2×C4—4721no—
1698C2×C4—4721no—
1699C2×C4—4721no—
1700C2×C4—4721no—
1701C2×C4—4721no—
1702C2×C4—4721no—
1703C2×C4C22×C22⋊D5911yescharacteristic
1704C2×C4C22×C22⋊D5911yescharacteristic
1705C2×C4C22×C22⋊D5911yescharacteristic
1706C2×C4C22×C22⋊D5911yescharacteristic
1707C2×C4C22×C22⋊D5911yescharacteristic
1708C2×C4C22×C22⋊D5911yescharacteristic
1709C2×C4C22×C22⋊D5911yescharacteristic
1710C2×C4C22×C22⋊D5911yescharacteristic
1711C2×C4C22×C22⋊D5911yescharacteristic
1712C2×C4C22×C22⋊D5911yescharacteristic
1713C2×C4C22×C22⋊D5911yescharacteristic
1714C2×C4C24×D5911yescharacteristic
1715C8—1181no—
1716C8—1181no—
1717C8—1181no—
1718C8—1181no—
1719C8—1181no—
1720C8—1181no—
1721C8—1181no—
1722C8—1181no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—22no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—21no—
1732C22—21no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—84no—
1742C22—162no—
1743C22—9442no—
1744C22—2361no—
1745C22—2361no—
1746C22—2361no—
1747C22—2361no—
1748C22—2361no—
1749C22—2361no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22C23×C22⋊D5911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—21no—
1763C4—21no—
1764C4—21no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—2361no—
1771C4—2361no—
1772C4—2361no—
1773C4—2361no—
1774C4—2361no—
1775C4C2×#1427377311yescharacteristic
1776C4#1683823811yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—41no—
1780C2—42no—
1781C2—81no—
1782C2—81no—
1783C2—4721no—
1784C2—4721no—
1785C2—4721no—
1786C2#2143776511yescharacteristic
1787C2#2143886711yescharacteristic
1788C2#2143887611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3513C2
socleC22×C59C23×D4
hypercenter#3513D59
hypocenterC59#62027
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. #21438684C2semidirect
2. #21437156C2semidirect
3. #21437104C2semidirect
4. #21436849C2semidirect
5. #21436745C2semidirect
6. #21436395C2semidirect
7. #21436358C2semidirect
8. #21436343C2semidirect
9. #21436216C2semidirect
10. #21436051C2semidirect
11. #21435940C2semidirect
12. #21435799C2semidirect
13. #21435712C2semidirect
14. #21435703C2semidirect
15. #21435703C2semidirect
16. #21435617C2semidirect
17. #21435587C2semidirect
18. #21435542C2semidirect
19. #21435507C2semidirect
20. #21435492C2semidirect
21. #21435199C2semidirect
22. #21435140C2semidirect
23. #21435068C2semidirect
24. #21434339C2semidirect
25. #21434310C2semidirect
26. #21434143C2semidirect
27. #21433635C2semidirect
28. #21433608C2semidirect
29. #21433560C2semidirect
30. #21433245C2semidirect
31. C59×#3513C2semidirect
34. C2×#14273753C22semidirect
37. C22×#11745670C22semidirect
40. #16838137C22semidirect
41. #16838125C22semidirect
46. #16838061C22semidirect
47. #16838057C22semidirect
48. #16838048C22semidirect
49. #16838048C22semidirect
50. #16838014C22semidirect
51. #16838007C22semidirect
56. #16837978C22semidirect
57. #16837971C22semidirect
58. #16837952C22semidirect
59. #16837936C22semidirect
60. #16837797C22semidirect
62. #16837784C22semidirect
63. #16837784C22semidirect
64. #16837784C22semidirect
66. #16837768C22semidirect
67. #16837764C22semidirect
68. #16837759C22semidirect
69. #16837759C22semidirect
70. #16837759C22semidirect
71. #16837754C22semidirect
72. #16837737C22semidirect
73. #16837737C22semidirect
74. #16837732C22semidirect
75. #16837726C22semidirect
76. #16837726C22semidirect
77. #16837720C22semidirect
78. #16837709C22semidirect
79. #16837706C22semidirect
80. #16837706C22semidirect
81. #16837706C22semidirect
82. #16837702C22semidirect
83. #16837702C22semidirect
84. #16837702C22semidirect
85. #16837699C22semidirect
86. #16837689C22semidirect
87. #16837679C22semidirect
88. #16837658C22semidirect
90. #16837653C22semidirect
91. #16837650C22semidirect
92. #16837650C22semidirect
93. #16837646C22semidirect
94. #16837646C22semidirect
95. #16837646C22semidirect
97. #16837633C22semidirect
98. #16837629C22semidirect
99. #16837629C22semidirect
100. #16837624C22semidirect
101. #16837624C22semidirect
102. #16837621C22semidirect
107. #16837617C22semidirect
108. #16837617C22semidirect
109. #16837617C22semidirect
110. #16837617C22semidirect
111. #16837617C22semidirect
112. #16837617C22semidirect
113. #16837614C22semidirect
114. #16837614C22semidirect
115. #16837614C22semidirect
116. #16837612C22semidirect
117. #16837607C22semidirect
118. #16837607C22semidirect
119. #16837607C22semidirect
120. #16837607C22semidirect
121. #16837607C22semidirect
122. #16837602C22semidirect
123. #16837602C22semidirect
124. #16837599C22semidirect
125. #16837599C22semidirect
128. #16837597C22semidirect
129. #16837597C22semidirect
132. #16837562C22semidirect
133. #16837562C22semidirect
134. #16837562C22semidirect
135. #16837557C22semidirect
136. #16837553C22semidirect
139. #16837545C22semidirect
140. #16837545C22semidirect
141. #16837545C22semidirect
142. #16837540C22semidirect
145. #16837536C22semidirect
146. #16837535C22semidirect
147. #16837535C22semidirect
148. #16837533C22semidirect
149. Q8×C59⋊C8C22semidirect
150. #16837512C22semidirect
151. #16837512C22semidirect
152. #16837507C22semidirect
153. #16837502C22semidirect
154. C4×#11745672C22semidirect
155. C4×#11745670C22semidirect
156. C4×#11745670C22semidirect
157. C4×#11745670C22semidirect
160. C4×#11745669C22semidirect
161. C4×#11745669C22semidirect
162. #16837480C22semidirect
163. #16837480C22semidirect
164. #16837480C22semidirect
165. #16837474C22semidirect
166. #16837474C22semidirect
167. D4×C59⋊C8C22semidirect
168. #16837463C22semidirect
169. #16837463C22semidirect
170. #16837455C22semidirect
171. #16837429C22semidirect
172. #16837429C22semidirect
173. #16837426C22semidirect
174. #16837410C22semidirect
175. #16837401C22semidirect
176. #16837401C22semidirect
177. #16837401C22semidirect
178. #16837396C22semidirect
179. C2×#14273647C22semidirect
180. C59×#559C22semidirect
181. C59×#554C22semidirect
184. C59×#552C22semidirect
191. D42×C59C22semidirect
192. C59×#542C22semidirect
197. C59×#529C22semidirect
201. C59×#518C22semidirect
202. C2×C4×D4×C59C22semidirect
884. #3513D59semidirect
935. #559C2×D59semidirect
937. #554C2×D59semidirect
941. #552C2×D59semidirect
955. D42C2×D59semidirect
956. #542C2×D59semidirect
971. #529C2×D59semidirect
975. #518C2×D59semidirect
976. C2×C4×D4C2×D59semidirect
1097. C59#62027semidirect

Maximal subgroups

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

subgroupindex
#214386842
#214371562
#214371042
#214368492
#214367452
#214363952
#214363582
#214363432
#214362162
#214360512
#214359402
#214357992
#214357122
#214357032
#214356172
#214355872
#214355422
#214355072
#214354922
#214351992
#214351402
#214350682
#214343392
#214343102
#214341432
#214336352
#214336082
#214335602
#214332452
C59×#35132
#6202759