Finite Group Databasebeta

← #29475246

Subgroups — #29475246

Order 15104.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438387C211yesmaximal, characteristic, complemented
2#21437762C211yesmaximal, characteristic, complemented
3#21436436C211yesmaximal, characteristic, complemented
4#21436368C211yesmaximal, characteristic, complemented
5#21436328C211yesmaximal, characteristic, complemented
6#21436303C211yesmaximal, characteristic, complemented
7#21436184C211yesmaximal, characteristic, complemented
8#21436162C211yesmaximal, characteristic, complemented
9#21436112C211yesmaximal, characteristic, complemented
10#21436106C211yesmaximal, characteristic, complemented
11#21435756C211yesmaximal, characteristic, complemented
12#21435726C211yesmaximal, characteristic, complemented
13#21435689C211yesmaximal, characteristic, complemented
14#21435687C211yesmaximal, characteristic, complemented
15#21435645C211yesmaximal, characteristic, complemented
16#21435599C211yesmaximal, characteristic, complemented
17#21435592C211yesmaximal, characteristic, complemented
18#21435183C211yesmaximal, characteristic, complemented
19#21435165C211yesmaximal, characteristic, complemented
20#21434994C211yesmaximal, characteristic, complemented
21#21434982C211yesmaximal, characteristic, complemented
22#21434908C211yesmaximal, characteristic, complemented
23#21434897C211yesmaximal, characteristic, complemented
24#21434357C211yesmaximal, characteristic, complemented
25#21434316C211yesmaximal, characteristic, complemented
26#21433398C211yesmaximal, characteristic, complemented
27#21433372C211yesmaximal, characteristic, complemented
28#21433355C211yesmaximal, characteristic, complemented
29#21433337C211yesmaximal, characteristic, complemented
30#21433153C211yesmaximal, characteristic, complemented
31C59×#3277C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C22×#11745689C2211yescharacteristic
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273759C2211yescharacteristic, complemented
36C2×#14273752C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C2×#14273748C2211yescharacteristic, complemented
39C22×#11745671C2211yescharacteristic, complemented
40#16838152—21no—
41#16838147—21no—
42#16838122C2211yescharacteristic, complemented
43#16838112C2211yescharacteristic, complemented
44#16838106—21no—
45#16838102—21no—
46#16838099C2211yescharacteristic, complemented
47#16838086C2211yescharacteristic, complemented
48#16838074C2211yescharacteristic
49#16838071C2211yescharacteristic
50Q8×C22⋊D59C2211yescharacteristic, complemented
51#16838063C2211yescharacteristic
52#16838060C2211yescharacteristic, complemented
53#16838051C2211yescharacteristic, complemented
54#16838045—21no—
55#16838045C2211yescharacteristic
56#16838043—21no—
57#16838043C2211yescharacteristic
58D4×D236—21no—
59D4×D236C2211yescharacteristic
60#16838036—21no—
61#16838036C2211yescharacteristic
62#16838022—21no—
63#16838021C2211yescharacteristic, complemented
64#16838010C2211yescharacteristic, complemented
65#16837994—21no—
66#16837986—21no—
67#16837984—21no—
68#16837982—21no—
69#16837982C2211yescharacteristic
70#16837981C2211yescharacteristic, complemented
71#16837976C2211yescharacteristic, complemented
72#16837970—21no—
73#16837970C2211yescharacteristic
74#16837911—21no—
75#16837911C2211yescharacteristic
76#16837909C2211yescharacteristic, complemented
77C22⋊Q8×D59C2211yescharacteristic, complemented
78#121×D59—21no—
79#121×D59C2211yescharacteristic
80#16837884C2211yescharacteristic
81#16837795C2211yescharacteristic, complemented
82#16837792C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic, complemented
84#16837765C2211yescharacteristic, complemented
85#16837761C2211yescharacteristic, complemented
86#16837758C2211yescharacteristic, complemented
87#16837749C2211yescharacteristic, complemented
88#16837740C2211yescharacteristic, complemented
89#16837739C2211yescharacteristic, complemented
90#16837736C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837727C2211yescharacteristic, complemented
94#16837727C2211yescharacteristic, complemented
95#16837723C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic, complemented
97#16837717C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837707C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837697C2211yescharacteristic, complemented
103#16837683C2211yescharacteristic, complemented
104#16837657C2211yescharacteristic, complemented
105#16837654C2211yescharacteristic, complemented
106#16837652C2211yescharacteristic, complemented
107#16837651C2211yescharacteristic, complemented
108#16837651C2211yescharacteristic, complemented
109#16837650C2211yescharacteristic, complemented
110#16837648C2211yescharacteristic, complemented
111#16837648C2211yescharacteristic, complemented
112#16837646C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic, complemented
114#16837641C2211yescharacteristic, complemented
115#16837640C2211yescharacteristic, complemented
116#16837636C2211yescharacteristic, complemented
117#16837634C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837621C2211yescharacteristic, complemented
120#16837619C2211yescharacteristic, complemented
121#16837614C2211yescharacteristic, complemented
122#16837610C2211yescharacteristic, complemented
123#16837606C2211yescharacteristic, complemented
124#16837603C2211yescharacteristic, complemented
125#16837602C2211yescharacteristic, complemented
126#16837600C2211yescharacteristic, complemented
127#16837595C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic
129#16837567C2211yescharacteristic, complemented
130#16837564C2211yescharacteristic, complemented
131#16837563C2211yescharacteristic
132#16837563C2211yescharacteristic
133#16837563C2211yescharacteristic, complemented
134#16837563C2211yescharacteristic, complemented
135#16837563C2211yescharacteristic, complemented
136#16837563C2211yescharacteristic, complemented
137#16837563C2211yescharacteristic, complemented
138#16837563C2211yescharacteristic, complemented
139#16837561C2211yescharacteristic, complemented
140#16837558C2211yescharacteristic, complemented
141#16837555C2211yescharacteristic, complemented
142#16837555C2211yescharacteristic, complemented
143#16837554C2211yescharacteristic, complemented
144#16837552C2211yescharacteristic, complemented
145#16837551C2211yescharacteristic, complemented
146#16837551C2211yescharacteristic, complemented
147#16837551C2211yescharacteristic, complemented
148#16837551C2211yescharacteristic, complemented
149#16837548C2211yescharacteristic, complemented
150#16837547C2211yescharacteristic, complemented
151#16837546C2211yescharacteristic
152#16837546C2211yescharacteristic, complemented
153#16837546C2211yescharacteristic, complemented
154#16837546C2211yescharacteristic, complemented
155#16837542C2211yescharacteristic, complemented
156#16837541C2211yescharacteristic, complemented
157#16837539C2211yescharacteristic, complemented
158#16837535C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837507C2211yescharacteristic, complemented
161#16837505C2211yescharacteristic, complemented
162#16837503C2211yescharacteristic, complemented
163#16837500C2211yescharacteristic, complemented
164Q16×Dic59C2211yescharacteristic, complemented
165C4×#11745660C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, complemented
167#16837481C2211yescharacteristic, complemented
168#16837478C2211yescharacteristic, complemented
169#16837477C2211yescharacteristic, complemented
170#16837474C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172#16837471C2211yescharacteristic, complemented
173#16837470C2211yescharacteristic, complemented
174#16837462C2211yescharacteristic, complemented
175#16837461C2211yescharacteristic, complemented
176#16837411C2211yescharacteristic, complemented
177#16837408C2211yescharacteristic, complemented
178#16837408C2211yescharacteristic, complemented
179#16837402C2211yescharacteristic, complemented
180#16837402C2211yescharacteristic, complemented
181#16837402C2211yescharacteristic, complemented
182#16837398C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837365C2211yescharacteristic, complemented
187#16837364C2211yescharacteristic, complemented
188C2×#137×C59C2211yescharacteristic, complemented
189C2×#137×C59C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic
191C59×#548C2211yescharacteristic, complemented
192C59×#495C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#464C2211yescharacteristic, complemented
197C59×#451C2211yescharacteristic, complemented
198C59×#451C2211yescharacteristic, complemented
199C59×#449C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic, complemented
201C4×Q16×C59C2211yescharacteristic, complemented
202C59×#436C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205C2×#11745689—21no—
206C2×#11745689—21no—
207C2×#11745689—42no—
208C2×#11745689—42no—
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745689C2311yescharacteristic
212C2×#11745689C2311yescharacteristic
213C2×#11745689C2311yescharacteristic
214C2×#11745685—21no—
215C2×#11745685C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217C2×Q8×D59C2311yescharacteristic
218C22×D236—21no—
219C22×D236—21no—
220C22×D236C2311yescharacteristic
221C22×D236C2311yescharacteristic
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C22×C4×D59—21no—
230C22×C4×D59C2311yescharacteristic
231#14273759—42no—
232#14273759—42no—
233#14273752—42no—
234#14273751—42no—
235#14273748—42no—
236C2×#11745672C2311yescharacteristic
237C2×#11745672C2311yescharacteristic
238C2×#11745660C2311yescharacteristic
239C2×#11745660C2311yescharacteristic
240C2×#11745660C2311yescharacteristic
241C2×#11745670C2311yescharacteristic
242C2×#11745671—42no—
243C2×#11745671C2311yescharacteristic
244C2×#11745671C2311yescharacteristic
245C2×#11745671C2311yescharacteristic
246C2×#11745671C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×#11745669C2311yescharacteristic
250C2×#11745669C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745664C2311yescharacteristic
253C2×#11745659C2311yescharacteristic
254C2×#11745659C2311yescharacteristic
255C2×#11745659C2311yescharacteristic
256C22×C59⋊C8C2311yescharacteristic
257C2×C8×D59C2311yescharacteristic
258#14273727C2311yescharacteristic
259#14273725—21no—
260#14273725—21no—
261#14273725C2311yescharacteristic
262#14273724—21no—
263#14273724C2311yescharacteristic
264#14273723—21no—
265#14273723C2311yescharacteristic
266#14273722—21no—
267#14273721—21no—
268#14273720—21no—
269#14273720—21no—
270#14273720—21no—
271#14273720—21no—
272#14273720—21no—
273#14273719—21no—
274#14273719—21no—
275#14273718C2311yescharacteristic
276#14273717—21no—
277#14273717—21no—
278#14273716—21no—
279#14273716—21no—
280#14273716C2311yescharacteristic
281#14273714—21no—
282#14273713—21no—
283#14273713—21no—
284#14273712—21no—
285#14273712D411yescharacteristic
286#14273711—21no—
287#14273710—21no—
288#14273710—21no—
289#14273710—21no—
290#14273709—21no—
291#14273709—21no—
292#14273709D411yescharacteristic
293#14273708—21no—
294#14273708—21no—
295#14273708—21no—
296#14273707C2311yescharacteristic
297#14273706—21no—
298#14273706C2311yescharacteristic
299#14273706C2311yescharacteristic
300#14273705—21no—
301#14273705—21no—
302#14273705—21no—
303#14273705—21no—
304#14273705D411yescharacteristic
305#14273704—21no—
306#14273704—21no—
307#14273704—21no—
308#14273704—21no—
309#14273704D411yescharacteristic
310#14273703—21no—
311#14273703—21no—
312#14273703C2311yescharacteristic
313#14273703C2311yescharacteristic
314#14273703C2311yescharacteristic
315#14273703C2311yescharacteristic
316#14273703C2311yescharacteristic
317#14273703C2311yescharacteristic
318#14273702—21no—
319#14273702—21no—
320#14273702—21no—
321#14273702—21no—
322#14273702—21no—
323#14273702C2311yescharacteristic
324#14273702C2311yescharacteristic
325#14273701—21no—
326#14273701—21no—
327#14273701C2311yescharacteristic
328#14273701C2311yescharacteristic
329#14273700—21no—
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700D411yescharacteristic
339#14273699—21no—
340#14273699—21no—
341#14273699—21no—
342#14273699D411yescharacteristic
343#14273698—21no—
344#14273698—21no—
345#14273698—21no—
346#14273698C2311yescharacteristic
347#14273698C2311yescharacteristic
348#14273698C2311yescharacteristic
349#14273697—21no—
350#14273697—21no—
351#14273697—21no—
352#14273697—21no—
353#14273697—21no—
354#14273697—21no—
355#14273697—21no—
356#14273697D411yescharacteristic
357#14273695—21no—
358#14273695—21no—
359#14273695D411yescharacteristic
360Q8×Dic59C2311yescharacteristic
361Q8×Dic59C2311yescharacteristic
362C4×Dic118C2311yescharacteristic
363#14273692—21no—
364C4×D236—21no—
365C4×D236—21no—
366C4×D236—21no—
367C4×D236C2311yescharacteristic
368C4×D236C2311yescharacteristic
369D4×Dic59C2311yescharacteristic
370#14273689—21no—
371#14273689C2311yescharacteristic
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59—21no—
376C4×C22⋊D59—21no—
377C4×C22⋊D59C2311yescharacteristic
378C4×C22⋊D59C2311yescharacteristic
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381#14273686C2311yescharacteristic
382#14273686C2311yescharacteristic
383#14273685—21no—
384#14273684—21no—
385#14273684C2311yescharacteristic
386C2×Dic59⋊C4—21no—
387C4⋊C4×D59—21no—
388C4⋊C4×D59—21no—
389C4⋊C4×D59C2311yescharacteristic
390C4⋊C4×D59C2311yescharacteristic
391C4⋊C4×D59C2311yescharacteristic
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C22⋊C4×D59—21no—
396#14273661C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273660C2311yescharacteristic
401#14273659C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442#14273638C2311yescharacteristic
443#14273637C2311yescharacteristic
444C8×Dic59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×#41×C59C2311yescharacteristic
447C22×Q8×C59C2311yescharacteristic
448C22×Q8×C59C2311yescharacteristic
449#137×C59—42no—
450#137×C59—42no—
451C2×Q16×C59C2311yescharacteristic
452C2×Q16×C59C2311yescharacteristic
453C2×Q16×C59C2311yescharacteristic
454C2×Q16×C59C2311yescharacteristic
455C2×SD16×C59C2311yescharacteristic
456C2×SD16×C59C2311yescharacteristic
457C2×SD16×C59C2311yescharacteristic
458C2×SD16×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C2×M16×C59C2311yescharacteristic
461C2×M16×C59C2311yescharacteristic
462#124×C59—21no—
463#124×C59—21no—
464#124×C59C2311yescharacteristic
465#124×C59C2311yescharacteristic
466C22⋊Q8×C59—21no—
467C22⋊Q8×C59—21no—
468C22⋊Q8×C59C2311yescharacteristic
469C22⋊Q8×C59C2311yescharacteristic
470#121×C59—21no—
471#121×C59—21no—
472#121×C59C2311yescharacteristic
473#121×C59C2311yescharacteristic
474C4×Q8×C59C2311yescharacteristic
475C4×Q8×C59C2311yescharacteristic
476C4×D4×C59—21no—
477C4×D4×C59—21no—
478C4×D4×C59C2311yescharacteristic
479#107×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#103×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59C2×D411yescharacteristic
495#41×C59—22no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499C2×Q8×C59—21no—
500C2×Q8×C59—21no—
501C2×Q8×C59—22no—
502C2×Q8×C59—41no—
503C2×Q8×C59—41no—
504C2×Q8×C59—41no—
505C2×Q8×C59C2411yescharacteristic
506C2×Q8×C59C2411yescharacteristic
507C2×Q8×C59C2411yescharacteristic
508C2×Q8×C59C2411yescharacteristic
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59—21no—
512C2×D4×C59—21no—
513C2×D4×C59C2×D411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C2×D4×C59C2411yescharacteristic
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59—21no—
520C22×C4×C59C2411yescharacteristic
521C22×C4×C59C2411yescharacteristic
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59C2×D411yescharacteristic
533C2×C22⋊D59C2×D411yescharacteristic
534C2×C22⋊D59C2×D411yescharacteristic
535C2×C22⋊D59C2×D411yescharacteristic
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59C2×D411yescharacteristic
539#11745689—22no—
540#11745689—22no—
541#11745689—22no—
542#11745689—22no—
543#11745689—22no—
544#11745689—41no—
545#11745689—41no—
546#11745689—41no—
547#11745689—41no—
548#11745689—41no—
549#11745689—44no—
550#11745689—44no—
551Q8×D59—41no—
552Q8×D59—41no—
553#11745687—41no—
554#11745687—41no—
555D4×D59—22no—
556D4×D59—41no—
557D4×D59—41no—
558D4×D59—41no—
559D4×D59—44no—
560D4×D59—44no—
561D4×D59—82no—
562D4×D59—82no—
563D4×D59—82no—
564#11745685—41no—
565#11745685—41no—
566#11745685—44no—
567C2×D236—21no—
568C2×D236—22no—
569C2×D236—22no—
570C2×D236—21no—
571C2×D236—21no—
572C2×D236—21no—
573C2×D236—21no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—21no—
579C2×D236—21no—
580C2×D236—41no—
581C2×D236—41no—
582C2×D236—44no—
583C2×D236—44no—
584C2×D236C2×D411yescharacteristic
585C2×D236C2×D411yescharacteristic
586C2×D236C2411yescharacteristic
587C2×D236C2411yescharacteristic
588C2×D236C2411yescharacteristic
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—21no—
598C2×C4×D59—21no—
599C2×C4×D59—21no—
600C2×C4×D59—41no—
601C2×C4×D59—41no—
602C2×C4×D59—44no—
603C2×C4×D59C2×D411yescharacteristic
604C2×C4×D59C2×D411yescharacteristic
605C2×C4×D59C2411yescharacteristic
606C2×C4×D59C2411yescharacteristic
607C2×C4×D59C2411yescharacteristic
608C2×Dic118—21no—
609C2×Dic118—21no—
610C2×Dic118C2×D411yescharacteristic
611C2×Dic118C2411yescharacteristic
612Q16×C59—22no—
613Q16×C59—22no—
614Q16×C59—41no—
615Q16×C59—41no—
616SD16×C59—22no—
617SD16×C59—41no—
618SD16×C59—41no—
619SD16×C59—41no—
620D8×C59—41no—
621M16×C59—41no—
622M16×C59—41no—
623C2×C8×C59C2411yescharacteristic
624C2×C8×C59C2411yescharacteristic
625C2×C8×C59C2411yescharacteristic
626C2×C8×C59C2411yescharacteristic
627C4⋊C4×C59—21no—
628C4⋊C4×C59—21no—
629C4⋊C4×C59—21no—
630C4⋊C4×C59—21no—
631C4⋊C4×C59C2×D411yescharacteristic
632C4⋊C4×C59C2411yescharacteristic
633C4⋊C4×C59C2411yescharacteristic
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊C4×C59—21no—
641C22⋊C4×C59—21no—
642C22⋊C4×C59C2×D411yescharacteristic
643C22⋊C4×C59C2×D411yescharacteristic
644C42×C59—21no—
645C42×C59—21no—
646C42×C59C2411yescharacteristic
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59C2×D411yescharacteristic
656C22⋊Dic59C2×D411yescharacteristic
657#11745672—22no—
658#11745672—41no—
659#11745671—22no—
660#11745671—22no—
661#11745671—41no—
662#11745671—41no—
663#11745671—41no—
664#11745671—41no—
665#11745670—41no—
666#11745669—22no—
667#11745669—41no—
668#11745669—41no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4C2×D411yescharacteristic
685(C2×D59)⋊C4C2×D411yescharacteristic
686(C2×D59)⋊C4C2×D411yescharacteristic
687(C2×D59)⋊C4C2×D411yescharacteristic
688(C2×D59)⋊C4C2×D411yescharacteristic
689(C2×D59)⋊C4C2×D411yescharacteristic
690C4⋊Dic59—21no—
691C4⋊Dic59—21no—
692C4⋊Dic59—21no—
693C4⋊Dic59—21no—
694C4⋊Dic59—21no—
695C4⋊Dic59C2×D411yescharacteristic
696C4⋊Dic59C2411yescharacteristic
697C4⋊Dic59C2411yescharacteristic
698C4⋊Dic59C2411yescharacteristic
699C4⋊Dic59C2411yescharacteristic
700Dic59⋊C4—21no—
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4C2×D411yescharacteristic
716Dic59⋊C4C2×D411yescharacteristic
717Dic59⋊C4C2×D411yescharacteristic
718Dic59⋊C4C2×D411yescharacteristic
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59—21no—
723C4×Dic59—21no—
724C4×Dic59C2411yescharacteristic
725#11745664—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731#11745660—22no—
732#11745660—41no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736#11745659—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59C22×D411yescharacteristic
741C23×C59C22×D411yescharacteristic
742C22×D59—21no—
743C22×D59—21no—
744C22×D59—21no—
745C22×D59—41no—
746C22×D59—41no—
747C22×D59—41no—
748C22×D59—42no—
749C22×D59—42no—
750C22×D59—42no—
751C22×D59—42no—
752C22×D59—42no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59C22×D411yescharacteristic
761C22×D59C22×D411yescharacteristic
762C22×D59C22×D411yescharacteristic
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—21no—
770Q8×C59—42no—
771Q8×C59—81no—
772Q8×C59H(5,𝔽2)12yes—
773D4×C59—21no—
774D4×C59—21no—
775D4×C59—21no—
776D4×C59—21no—
777D4×C59—41no—
778D4×C59—42no—
779D4×C59—42no—
780D4×C59—81no—
781D4×C59—81no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—42no—
793C2×C4×C59—42no—
794C2×C4×C59—81no—
795C2×C4×C59—81no—
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C22×D411yescharacteristic
798C2×C4×C59C22×D411yescharacteristic
799C2×C4×C59C22×D411yescharacteristic
800C2×C4×C59C2511yescharacteristic
801C22⋊D59—41no—
802C22⋊D59—41no—
803C22⋊D59—41no—
804C22⋊D59—41no—
805C22⋊D59—42no—
806C22⋊D59—42no—
807C22⋊D59—42no—
808C22⋊D59—42no—
809C22⋊D59—81no—
810C22⋊D59—81no—
811C22⋊D59—81no—
812C22⋊D59—81no—
813C22⋊D59—81no—
814C22⋊D59—81no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—21no—
820C2×Dic59—41no—
821C2×Dic59—81no—
822C2×Dic59—81no—
823C2×Dic59C22×D411yescharacteristic
824C2×Dic59C22×D411yescharacteristic
825C2×Dic59C22×D411yescharacteristic
826C2×Dic59C22×D411yescharacteristic
827C2×Dic59C22×D411yescharacteristic
828D236—24no—
829D236—21no—
830D236—21no—
831D236—21no—
832D236—21no—
833D236—21no—
834D236—41no—
835D236—41no—
836D236—42no—
837D236—42no—
838D236—42no—
839D236—42no—
840D236—42no—
841D236—42no—
842D236—81no—
843D236—81no—
844D236—81no—
845D236—81no—
846D236H(5,𝔽2)12yes—
847C4×D59—24no—
848C4×D59—21no—
849C4×D59—21no—
850C4×D59—21no—
851C4×D59—21no—
852C4×D59—21no—
853C4×D59—21no—
854C4×D59—41no—
855C4×D59—41no—
856C4×D59—42no—
857C4×D59—42no—
858C4×D59—42no—
859C4×D59—42no—
860C4×D59—81no—
861C4×D59—81no—
862C4×D59—81no—
863C4×D59—81no—
864C4×D59—81no—
865C4×D59—81no—
866Dic118—21no—
867Dic118—21no—
868Dic118—41no—
869Dic118—81no—
870Dic118—81no—
871C8×C59—21no—
872C8×C59—21no—
873C8×C59—21no—
874C8×C59—21no—
875C59⋊C8—21no—
876C59⋊C8—21no—
877C59⋊C8—21no—
878C59⋊C8—21no—
879#61654—591nomaximal, Sylow
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—21no—
884C22×C59—21no—
885C22×C59—21no—
886C22×C59—41no—
887C22×C59—41no—
888C22×C59—41no—
889C22×C59—41no—
890C22×C59—41no—
891C22×C59—41no—
892C22×C59C23×D411yescharacteristic
893C2×D59—21no—
894C2×D59—21no—
895C2×D59—21no—
896C2×D59—21no—
897C2×D59—21no—
898C2×D59—21no—
899C2×D59—21no—
900C2×D59—21no—
901C2×D59—22no—
902C2×D59—21no—
903C2×D59—41no—
904C2×D59—41no—
905C2×D59—41no—
906C2×D59—41no—
907C2×D59—41no—
908C2×D59—41no—
909C2×D59—41no—
910C2×D59—41no—
911C2×D59—82no—
912C2×D59—84no—
913C2×D59—162no—
914C2×D59—162no—
915C2×D59—162no—
916C4×C59—21no—
917C4×C59—21no—
918C4×C59—21no—
919C4×C59—22no—
920C4×C59—21no—
921C4×C59—41no—
922C4×C59—41no—
923C4×C59—41no—
924C4×C59—41no—
925C4×C59—41no—
926C4×C59C2×H(5,𝔽2)11yescharacteristic
927C4×C59C2×H(5,𝔽2)11yescharacteristic
928Dic59—21no—
929Dic59—21no—
930Dic59—21no—
931Dic59—21no—
932Dic59—21no—
933Dic59—41no—
934Dic59—41no—
935Dic59—41no—
936Dic59—41no—
937Dic59—41no—
938#3541—591no—
939#3488—591no—
940#3333—591no—
941#3327—591no—
942#3324—591no—
943#3322—591no—
944#3314—591no—
945#3313—591no—
946#3310—591no—
947#3309—591no—
948#3278—591no—
949#3277D5911yescharacteristic, complemented
950#3275—591no—
951#3272—591no—
952#3271—591no—
953#3269—591no—
954#3266—591no—
955#3265—591no—
956#3224—591no—
957#3222—591no—
958#3203—591no—
959#3201—591no—
960#3194—591no—
961#3193—591no—
962#3124—591no—
963#3120—591no—
964#3012—591no—
965#3009—591no—
966#3007—591no—
967#3005—591no—
968#2978—591no—
969C2×C59—41no—
970C2×C59—41no—
971C2×C59—81no—
972C2×C59—81no—
973C2×C59#348411yescharacteristic
974C2×C59#358511yescharacteristic
975C2×C59#358611yescharacteristic
976D59—41no—
977D59—41no—
978D59—41no—
979D59—42no—
980D59—81no—
981D59—81no—
982C2×H(5,𝔽2)—591no—
983C22×#41—591no—
984C2×#137—591no—
985C2×#137—591no—
986C2×#137C2×D5911yescharacteristic, complemented
987C2×#137C2×D5911yescharacteristic, complemented
988C2×AGL(1,ℤ/8)—591no—
989C2×AGL(1,ℤ/8)—591no—
990C2×#135—591no—
991C22×SD16—591no—
992#563—1181no—
993#562—1181no—
994#556—591no—
995#554—591no—
996#554—1181no—
997#553—591no—
998#553—1181no—
999#552—591no—
1000#550—591no—
1001#550—591no—
1002D4×Q8—591no—
1003#548—591no—
1004#548—591no—
1005#548C2×D5911yescharacteristic
1006#548C2×D5911yescharacteristic, complemented
1007#547—591no—
1008#546—591no—
1009#546—591no—
1010#546—1181no—
1011#546—1181no—
1012D42—591no—
1013D42—591no—
1014D42—1181no—
1015D42—1181no—
1016#542—591no—
1017#542—1181no—
1018#541—591no—
1019#539—1181no—
1020#538—1181no—
1021#538—1181no—
1022#537—591no—
1023#537—591no—
1024#537—1181no—
1025#536—591no—
1026#535—591no—
1027#535—1181no—
1028#525—591no—
1029#525—591no—
1030#525—1181no—
1031C2×C22⋊Q8—591no—
1032C2×#121—591no—
1033C2×#121—1181no—
1034#520—591no—
1035#497—591no—
1036#496—591no—
1037#495C2×D5911yescharacteristic, complemented
1038#492—591no—
1039#490—591no—
1040#489—591no—
1041#488—591no—
1042#486—591no—
1043#485—591no—
1044#484—591no—
1045#484—591no—
1046#484—591no—
1047#483—591no—
1048#482—591no—
1049#482—591no—
1050#482—591no—
1051#480—591no—
1052#480—591no—
1053#480—591no—
1054#480—591no—
1055#479—591no—
1056#478—591no—
1057#477—591no—
1058#474—591no—
1059#470—591no—
1060#469—591no—
1061#469—591no—
1062#468—591no—
1063#468—591no—
1064#468—591no—
1065#468—591no—
1066#468—591no—
1067#468—591no—
1068#468—591no—
1069#468C2×D5911yescharacteristic, complemented
1070#468C2×D5911yescharacteristic, complemented
1071#467—591no—
1072#467—591no—
1073#466—591no—
1074#465—591no—
1075#464—591no—
1076#464—591no—
1077#464C2×D5911yescharacteristic, complemented
1078#464C2×D5911yescharacteristic, complemented
1079#463—591no—
1080#463—591no—
1081#462—591no—
1082#461—591no—
1083#460—591no—
1084#460—591no—
1085#460—591no—
1086#459—591no—
1087#452—591no—
1088#452—591no—
1089#452—591no—
1090#452—591no—
1091#452—591no—
1092#452—591no—
1093#452—591no—
1094#452—591no—
1095#452—591no—
1096#452—591no—
1097#452—591no—
1098#452—591no—
1099#451—591no—
1100#451C2×D5911yescharacteristic, complemented
1101#451C2×D5911yescharacteristic, complemented
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#450—591no—
1106#450—591no—
1107#450—591no—
1108#450—591no—
1109#450—591no—
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#449—591no—
1116#449C2×D5911yescharacteristic, complemented
1117#449C2×D5911yescharacteristic, complemented
1118#448—591no—
1119#448—591no—
1120#448—591no—
1121#447—591no—
1122#447—591no—
1123#441—591no—
1124#440—591no—
1125#440—591no—
1126#440—591no—
1127C4×Q16—591no—
1128C4×Q16C2×D5911yescharacteristic, complemented
1129C4×SD16—591no—
1130C4×D8—591no—
1131#436—591no—
1132#436—591no—
1133#436—591no—
1134#436C2×D5911yescharacteristic, complemented
1135#435—591no—
1136#435—591no—
1137#435—591no—
1138#435—591no—
1139#433—591no—
1140#433—591no—
1141#419—591no—
1142#418—591no—
1143#418—591no—
1144#417—591no—
1145#417—591no—
1146#417—591no—
1147#416—591no—
1148C2×#102—591no—
1149#408—591no—
1150#408—591no—
1151#407—591no—
1152#407—591no—
1153C59#6165411yescharacteristic, complemented, Sylow
1154H(5,𝔽2)—2362no—
1155H(5,𝔽2)—2362no—
1156C2×#41—591no—
1157C2×#41—591no—
1158C2×#41—591no—
1159C2×#41—591no—
1160C2×#41—591no—
1161C2×#41—591no—
1162C2×#41—591no—
1163C2×#41—1181no—
1164C2×#41—1181no—
1165C2×#41—1181no—
1166C2×#41—2362no—
1167C2×#41—2362no—
1168C2×#41C22×D5911yescharacteristic
1169C2×#41C22×D5911yescharacteristic
1170C22×Q8—591no—
1171C22×Q8C22×D5911yescharacteristic
1172C22×Q8C22×D5911yescharacteristic
1173C22×D4—591no—
1174C22×D4—591no—
1175C22×D4—591no—
1176C22×D4—591no—
1177C22×D4—1181no—
1178C22×D4—1181no—
1179C22×D4—1181no—
1180C22×D4—1181no—
1181C22×D4—1181no—
1182C22×D4—1181no—
1183C22×D4—1181no—
1184C23×C4—591no—
1185C23×C4—1181no—
1186#137—42no—
1187#137—42no—
1188#137—2362no—
1189#137—2362no—
1190AGL(1,ℤ/8)—2362no—
1191AGL(1,ℤ/8)—2362no—
1192#135—2362no—
1193C2×Q16—591no—
1194C2×Q16—591no—
1195C2×Q16C22×D5911yescharacteristic
1196C2×Q16C22×D5911yescharacteristic
1197C2×Q16C22×D5911yescharacteristic
1198C2×Q16C22×D5911yescharacteristic
1199C2×SD16—591no—
1200C2×SD16—591no—
1201C2×SD16—591no—
1202C2×SD16—591no—
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—2362no—
1210C2×SD16C22×D5911yescharacteristic
1211C2×SD16C22×D5911yescharacteristic
1212C2×SD16C22×D5911yescharacteristic
1213C2×SD16C22×D5911yescharacteristic
1214C2×D8—591no—
1215C2×D8—591no—
1216C2×D8—591no—
1217C2×D8C22×D5911yescharacteristic
1218C2×M16—591no—
1219C2×M16—591no—
1220C2×M16—591no—
1221C2×M16—591no—
1222C2×M16C22×D5911yescharacteristic
1223C2×M16C22×D5911yescharacteristic
1224C22×C8—591no—
1225C22×C8—591no—
1226C4⋊Q8—591no—
1227C4⋊Q8—591no—
1228C4⋊Q8—1181no—
1229C4⋊Q8—1181no—
1230#127—591no—
1231#127—591no—
1232#127—1181no—
1233#127—1181no—
1234#126—1181no—
1235#126—1181no—
1236#126—1181no—
1237#126—1181no—
1238#126—1181no—
1239#126—1181no—
1240#126—1181no—
1241#125—591no—
1242#125—1181no—
1243#125—1181no—
1244#125—1181no—
1245#125—1181no—
1246#124—21no—
1247#124—21no—
1248#124—591no—
1249#124—1181no—
1250#124—1181no—
1251#124—1181no—
1252#124—1181no—
1253#124—1181no—
1254#124C22×D5911yescharacteristic
1255#124C22×D5911yescharacteristic
1256#123—591no—
1257#123—591no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—591no—
1271C22⋊Q8—591no—
1272C22⋊Q8—591no—
1273C22⋊Q8—591no—
1274C22⋊Q8—591no—
1275C22⋊Q8—591no—
1276C22⋊Q8—591no—
1277C22⋊Q8—591no—
1278C22⋊Q8—591no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—1181no—
1282C22⋊Q8—1181no—
1283C22⋊Q8—1181no—
1284C22⋊Q8—1181no—
1285C22⋊Q8—1181no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8C22×D5911yescharacteristic
1293C22⋊Q8C22×D5911yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—591no—
1297#121—591no—
1298#121—591no—
1299#121—591no—
1300#121—591no—
1301#121—591no—
1302#121—591no—
1303#121—591no—
1304#121—591no—
1305#121—1181no—
1306#121—1181no—
1307#121—1181no—
1308#121—1181no—
1309#121—1181no—
1310#121—1181no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121C22×D5911yescharacteristic
1328#121C22×D5911yescharacteristic
1329#120—591no—
1330#120—591no—
1331#120—1181no—
1332#120—1181no—
1333#120—1181no—
1334#120—1181no—
1335#120—1181no—
1336#120—1181no—
1337#120—1181no—
1338#120—1181no—
1339#120—1181no—
1340C4×Q8—591no—
1341C4×Q8—591no—
1342C4×Q8—591no—
1343C4×Q8—1181no—
1344C4×Q8C22×D5911yescharacteristic
1345C4×Q8C22×D5911yescharacteristic
1346C4×D4—21no—
1347C4×D4—21no—
1348C4×D4—591no—
1349C4×D4—591no—
1350C4×D4—591no—
1351C4×D4—591no—
1352C4×D4—591no—
1353C4×D4—591no—
1354C4×D4—1181no—
1355C4×D4—1181no—
1356C4×D4—1181no—
1357C4×D4—1181no—
1358C4×D4—1181no—
1359C4×D4—1181no—
1360C4×D4—1181no—
1361C4×D4—1181no—
1362C4×D4—1181no—
1363C4×D4—1181no—
1364C4×D4—1181no—
1365C4×D4C22×D5911yescharacteristic
1366#117—591no—
1367#117—591no—
1368#117—591no—
1369#117—1181no—
1370#117—1181no—
1371C2×C4⋊C4—591no—
1372C2×C4⋊C4—591no—
1373C2×C4⋊C4—591no—
1374C2×C4⋊C4—1181no—
1375C2×C4⋊C4—1181no—
1376C2×C4⋊C4—1181no—
1377C2×C22⋊C4—1181no—
1378C2×C22⋊C4—1181no—
1379C2×C22⋊C4—1181no—
1380C2×C22⋊C4—1181no—
1381#107—591no—
1382#107—591no—
1383#107—591no—
1384#107—591no—
1385#107—591no—
1386#107C22×D5911yescharacteristic
1387#106—591no—
1388#106—591no—
1389C4⋊C8—591no—
1390C4⋊C8—591no—
1391C4⋊C8—591no—
1392C4⋊C8C22×D5911yescharacteristic
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103—591no—
1398#103—591no—
1399#103—591no—
1400#103—591no—
1401#103—591no—
1402#103—591no—
1403#103C22×D5911yescharacteristic
1404#103C22×D5911yescharacteristic
1405#103C22×D5911yescharacteristic
1406#103C22×D5911yescharacteristic
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415#102—591no—
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102C22×D5911yescharacteristic
1424#102C22×D5911yescharacteristic
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8—591no—
1428C22⋊C8—591no—
1429C22⋊C8—591no—
1430C22⋊C8—591no—
1431C22⋊C8—591no—
1432C22⋊C8—591no—
1433C22⋊C8—591no—
1434C22⋊C8—591no—
1435C22⋊C8C22×D5911yescharacteristic
1436C22⋊C8C22×D5911yescharacteristic
1437#97—591no—
1438#97—591no—
1439C4×C8—591no—
1440C4×C8C22×D5911yescharacteristic
1441C24—591no—
1442C24—1181no—
1443C24—1181no—
1444C24—1181no—
1445C24—1181no—
1446#41—22no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—1182no—
1451#41—1182no—
1452#41—1182no—
1453#41—1182no—
1454#41—1182no—
1455#41—2361no—
1456#41—2361no—
1457#41—2364no—
1458#41—2361no—
1459#41—2361no—
1460#41—2361no—
1461#41—2361no—
1462#41—2361no—
1463#41—2361no—
1464#41—2361no—
1465#41—2364no—
1466#41—2364no—
1467C2×Q8—21no—
1468C2×Q8—21no—
1469C2×Q8—22no—
1470C2×Q8—41no—
1471C2×Q8—41no—
1472C2×Q8—41no—
1473C2×Q8—591no—
1474C2×Q8—591no—
1475C2×Q8—1181no—
1476C2×Q8—1181no—
1477C2×Q8—2361no—
1478C2×Q8—2361no—
1479C2×Q8C23×D5911yescharacteristic
1480C2×Q8C23×D5911yescharacteristic
1481C2×Q8C23×D5911yescharacteristic
1482C2×Q8C23×D5911yescharacteristic
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—591no—
1488C2×D4—591no—
1489C2×D4—591no—
1490C2×D4—591no—
1491C2×D4—591no—
1492C2×D4—591no—
1493C2×D4—591no—
1494C2×D4—591no—
1495C2×D4—591no—
1496C2×D4—1182no—
1497C2×D4—1182no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1182no—
1510C2×D4—1181no—
1511C2×D4—1181no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—1181no—
1516C2×D4—1181no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—4722no—
1521C2×D4—4722no—
1522C2×D4—4722no—
1523C2×D4—2361no—
1524C2×D4—2361no—
1525C2×D4—2364no—
1526C2×D4—2364no—
1527C2×D4—2361no—
1528C2×D4—2361no—
1529C2×D4—2361no—
1530C2×D4—2364no—
1531C2×D4—2364no—
1532C2×D4D4×D5911yescharacteristic
1533C2×D4C23×D5911yescharacteristic
1534C2×D4C23×D5911yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—591no—
1540C22×C4—591no—
1541C22×C4—591no—
1542C22×C4—591no—
1543C22×C4—591no—
1544C22×C4—591no—
1545C22×C4—1181no—
1546C22×C4—1181no—
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—2361no—
1559C22×C4—2361no—
1560C22×C4—2364no—
1561C22×C4C23×D5911yescharacteristic
1562C22×C4C23×D5911yescharacteristic
1563Q16—22no—
1564Q16—22no—
1565Q16—41no—
1566Q16—41no—
1567Q16—1182no—
1568Q16—2361no—
1569SD16—22no—
1570SD16—41no—
1571SD16—41no—
1572SD16—41no—
1573SD16—1182no—
1574SD16—1182no—
1575SD16—1182no—
1576SD16—2361no—
1577SD16—2361no—
1578SD16—2361no—
1579SD16—2361no—
1580SD16—2361no—
1581SD16—2361no—
1582SD16—2361no—
1583D8—41no—
1584D8—1182no—
1585D8—2361no—
1586D8—2361no—
1587M16—41no—
1588M16—41no—
1589M16—2361no—
1590M16—2361no—
1591M16—2361no—
1592M16—2361no—
1593C2×C8—591no—
1594C2×C8—591no—
1595C2×C8—591no—
1596C2×C8—591no—
1597C2×C8—2361no—
1598C2×C8—2361no—
1599C2×C8C23×D5911yescharacteristic
1600C2×C8C23×D5911yescharacteristic
1601C2×C8C23×D5911yescharacteristic
1602C2×C8C23×D5911yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—591no—
1608C4⋊C4—591no—
1609C4⋊C4—591no—
1610C4⋊C4—591no—
1611C4⋊C4—591no—
1612C4⋊C4—591no—
1613C4⋊C4—591no—
1614C4⋊C4—591no—
1615C4⋊C4—591no—
1616C4⋊C4—1181no—
1617C4⋊C4—1181no—
1618C4⋊C4—1181no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4—1181no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4—1181no—
1634C4⋊C4—1181no—
1635C4⋊C4—1181no—
1636C4⋊C4D4×D5911yescharacteristic
1637C4⋊C4C23×D5911yescharacteristic
1638C4⋊C4C23×D5911yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—591no—
1648C22⋊C4—591no—
1649C22⋊C4—591no—
1650C22⋊C4—591no—
1651C22⋊C4—591no—
1652C22⋊C4—591no—
1653C22⋊C4—591no—
1654C22⋊C4—591no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4D4×D5911yescharacteristic
1679C22⋊C4D4×D5911yescharacteristic
1680C42—21no—
1681C42—21no—
1682C42—591no—
1683C42—1181no—
1684C42—1181no—
1685C42—1181no—
1686C42—1181no—
1687C42—1181no—
1688C42C23×D5911yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—591no—
1692C23—591no—
1693C23—591no—
1694C23—1181no—
1695C23—1181no—
1696C23—1181no—
1697C23—4721no—
1698C23—4721no—
1699C23—4721no—
1700C23—4721no—
1701C23—4721no—
1702C23—4721no—
1703C23—4721no—
1704C23—2361no—
1705C23—2361no—
1706C23—2361no—
1707C23—2362no—
1708C23—2362no—
1709C23—2362no—
1710C23—2362no—
1711C23—2362no—
1712C23C2×D4×D5911yescharacteristic
1713C23C2×D4×D5911yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—21no—
1721Q8—42no—
1722Q8—81no—
1723Q8—1181no—
1724Q8—1181no—
1725Q8—4721no—
1726Q8—4721no—
1727Q8—2361no—
1728Q8#1427377212yes—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—41no—
1734D4—42no—
1735D4—42no—
1736D4—81no—
1737D4—81no—
1738D4—592no—
1739D4—1184no—
1740D4—1181no—
1741D4—1181no—
1742D4—1181no—
1743D4—1181no—
1744D4—1181no—
1745D4—4721no—
1746D4—4721no—
1747D4—4721no—
1748D4—4721no—
1749D4—4721no—
1750D4—4721no—
1751D4—4721no—
1752D4—4721no—
1753D4—4721no—
1754D4—4721no—
1755D4—2361no—
1756D4—2361no—
1757D4—2362no—
1758D4—2362no—
1759D4—2362no—
1760D4—2362no—
1761D4—2362no—
1762D4—2362no—
1763D4—2361no—
1764D4—2361no—
1765D4—2361no—
1766D4—2361no—
1767D4—2362no—
1768D4—2362no—
1769D4—2362no—
1770D4—2362no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—81no—
1784C2×C4—81no—
1785C2×C4—591no—
1786C2×C4—591no—
1787C2×C4—591no—
1788C2×C4—591no—
1789C2×C4—591no—
1790C2×C4—1184no—
1791C2×C4—1181no—
1792C2×C4—1181no—
1793C2×C4—1181no—
1794C2×C4—1181no—
1795C2×C4—1181no—
1796C2×C4—1181no—
1797C2×C4—1181no—
1798C2×C4—1181no—
1799C2×C4—1181no—
1800C2×C4—1181no—
1801C2×C4—1181no—
1802C2×C4—4721no—
1803C2×C4—4721no—
1804C2×C4—4721no—
1805C2×C4—4721no—
1806C2×C4—4721no—
1807C2×C4—4721no—
1808C2×C4—4721no—
1809C2×C4—4721no—
1810C2×C4—2361no—
1811C2×C4—2361no—
1812C2×C4—2362no—
1813C2×C4—2362no—
1814C2×C4—2362no—
1815C2×C4—2362no—
1816C2×C4—2361no—
1817C2×C4C2×D4×D5911yescharacteristic
1818C2×C4C2×D4×D5911yescharacteristic
1819C2×C4C2×D4×D5911yescharacteristic
1820C2×C4C2×D4×D5911yescharacteristic
1821C2×C4C24×D5911yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1181no—
1827C8—1181no—
1828C8—1181no—
1829C8—1181no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—1181no—
1843C22—1182no—
1844C22—1181no—
1845C22—1181no—
1846C22—1181no—
1847C22—1181no—
1848C22—1181no—
1849C22—1181no—
1850C22—1181no—
1851C22—1181no—
1852C22—9442no—
1853C22—9442no—
1854C22—9442no—
1855C22—4724no—
1856C22—4722no—
1857C22—2361no—
1858C22—2361no—
1859C22—2361no—
1860C22—2361no—
1861C22—2361no—
1862C22—2361no—
1863C22—2361no—
1864C22—2361no—
1865C22C22×D4×D5911yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—22no—
1869C4—21no—
1870C4—21no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—1181no—
1877C4—1181no—
1878C4—1181no—
1879C4—1181no—
1880C4—1181no—
1881C4—2361no—
1882C4—2361no—
1883C4—2361no—
1884C4—2361no—
1885C4—2361no—
1886C4H(5,𝔽2)×D5911yescharacteristic
1887C4C2×#1427377211yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—81no—
1891C2—81no—
1892C2—4721no—
1893C2—4721no—
1894C2—2361no—
1895C2—2361no—
1896C2—2361no—
1897C2—2362no—
1898C2#2143772411yescharacteristic
1899C2#2143887311yescharacteristic
1900C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3277C2
socleC22×C59C23×D4
hypercenter#3277D59
hypocenterC59#61654
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3277

Complements

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

NH ≅ G/Ntype
1. #21438387C2semidirect
2. #21437762C2semidirect
3. #21436436C2semidirect
4. #21436368C2semidirect
5. #21436328C2semidirect
6. #21436303C2semidirect
7. #21436184C2semidirect
8. #21436162C2semidirect
9. #21436112C2semidirect
10. #21436106C2semidirect
11. #21435756C2semidirect
12. #21435726C2semidirect
13. #21435689C2semidirect
14. #21435687C2semidirect
15. #21435645C2semidirect
16. #21435599C2semidirect
17. #21435592C2semidirect
18. #21435183C2semidirect
19. #21435165C2semidirect
20. #21434994C2semidirect
21. #21434982C2semidirect
22. #21434908C2semidirect
23. #21434897C2semidirect
24. #21434357C2semidirect
25. #21434316C2semidirect
26. #21433398C2semidirect
27. #21433372C2semidirect
28. #21433355C2semidirect
29. #21433337C2semidirect
30. #21433153C2semidirect
31. C59×#3277C2semidirect
34. C2×#14273759C22semidirect
35. C2×#14273759C22semidirect
36. C2×#14273752C22semidirect
37. C2×#14273751C22semidirect
38. C2×#14273748C22semidirect
39. C22×#11745671C22semidirect
42. #16838122C22semidirect
43. #16838112C22semidirect
46. #16838099C22semidirect
47. #16838086C22semidirect
50. Q8×C22⋊D59C22semidirect
52. #16838060C22semidirect
53. #16838051C22semidirect
63. #16838021C22semidirect
64. #16838010C22semidirect
70. #16837981C22semidirect
71. #16837976C22semidirect
76. #16837909C22semidirect
77. C22⋊Q8×D59C22semidirect
81. #16837795C22semidirect
82. #16837792C22semidirect
83. #16837773C22semidirect
84. #16837765C22semidirect
85. #16837761C22semidirect
86. #16837758C22semidirect
87. #16837749C22semidirect
88. #16837740C22semidirect
89. #16837739C22semidirect
90. #16837736C22semidirect
91. #16837736C22semidirect
92. #16837731C22semidirect
93. #16837727C22semidirect
94. #16837727C22semidirect
95. #16837723C22semidirect
96. #16837717C22semidirect
97. #16837717C22semidirect
98. #16837714C22semidirect
99. #16837714C22semidirect
100. #16837707C22semidirect
101. #16837705C22semidirect
102. #16837697C22semidirect
103. #16837683C22semidirect
104. #16837657C22semidirect
105. #16837654C22semidirect
106. #16837652C22semidirect
107. #16837651C22semidirect
108. #16837651C22semidirect
109. #16837650C22semidirect
110. #16837648C22semidirect
111. #16837648C22semidirect
112. #16837646C22semidirect
113. #16837645C22semidirect
114. #16837641C22semidirect
115. #16837640C22semidirect
116. #16837636C22semidirect
117. #16837634C22semidirect
118. #16837626C22semidirect
119. #16837621C22semidirect
120. #16837619C22semidirect
121. #16837614C22semidirect
122. #16837610C22semidirect
123. #16837606C22semidirect
124. #16837603C22semidirect
125. #16837602C22semidirect
126. #16837600C22semidirect
127. #16837595C22semidirect
129. #16837567C22semidirect
130. #16837564C22semidirect
133. #16837563C22semidirect
134. #16837563C22semidirect
135. #16837563C22semidirect
136. #16837563C22semidirect
137. #16837563C22semidirect
138. #16837563C22semidirect
139. #16837561C22semidirect
140. #16837558C22semidirect
141. #16837555C22semidirect
142. #16837555C22semidirect
143. #16837554C22semidirect
144. #16837552C22semidirect
145. #16837551C22semidirect
146. #16837551C22semidirect
147. #16837551C22semidirect
148. #16837551C22semidirect
149. #16837548C22semidirect
150. #16837547C22semidirect
152. #16837546C22semidirect
153. #16837546C22semidirect
154. #16837546C22semidirect
155. #16837542C22semidirect
156. #16837541C22semidirect
157. #16837539C22semidirect
158. #16837535C22semidirect
159. #16837534C22semidirect
160. #16837507C22semidirect
161. #16837505C22semidirect
162. #16837503C22semidirect
163. #16837500C22semidirect
164. Q16×Dic59C22semidirect
165. C4×#11745660C22semidirect
166. #16837482C22semidirect
167. #16837481C22semidirect
168. #16837478C22semidirect
169. #16837477C22semidirect
170. #16837474C22semidirect
171. #16837472C22semidirect
172. #16837471C22semidirect
173. #16837470C22semidirect
174. #16837462C22semidirect
175. #16837461C22semidirect
176. #16837411C22semidirect
177. #16837408C22semidirect
178. #16837408C22semidirect
179. #16837402C22semidirect
180. #16837402C22semidirect
181. #16837402C22semidirect
182. #16837398C22semidirect
183. #102×D59C22semidirect
184. #16837370C22semidirect
185. #16837367C22semidirect
186. #16837365C22semidirect
187. #16837364C22semidirect
188. C2×#137×C59C22semidirect
189. C2×#137×C59C22semidirect
191. C59×#548C22semidirect
192. C59×#495C22semidirect
193. C59×#468C22semidirect
194. C59×#468C22semidirect
195. C59×#464C22semidirect
196. C59×#464C22semidirect
197. C59×#451C22semidirect
198. C59×#451C22semidirect
199. C59×#449C22semidirect
200. C59×#449C22semidirect
201. C4×Q16×C59C22semidirect
202. C59×#436C22semidirect
949. #3277D59semidirect
986. C2×#137C2×D59semidirect
987. C2×#137C2×D59semidirect
1006. #548C2×D59semidirect
1037. #495C2×D59semidirect
1069. #468C2×D59semidirect
1070. #468C2×D59semidirect
1077. #464C2×D59semidirect
1078. #464C2×D59semidirect
1100. #451C2×D59semidirect
1101. #451C2×D59semidirect
1116. #449C2×D59semidirect
1117. #449C2×D59semidirect
1128. C4×Q16C2×D59semidirect
1134. #436C2×D59semidirect
1153. C59#61654semidirect

Maximal subgroups

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

subgroupindex
#214383872
#214377622
#214364362
#214363682
#214363282
#214363032
#214361842
#214361622
#214361122
#214361062
#214357562
#214357262
#214356892
#214356872
#214356452
#214355992
#214355922
#214351832
#214351652
#214349942
#214349822
#214349082
#214348972
#214343572
#214343162
#214333982
#214333722
#214333552
#214333372
#214331532
C59×#32772
#6165459