Finite Group Databasebeta

← #29465943

Subgroups — #29465943

Order 15104.

2074 conjugacy classes of subgroups.

The subgroup lattice has 1826 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437810C211yesmaximal, characteristic, complemented
2#21437735C211yesmaximal, characteristic, complemented
3#21436255C211yesmaximal, characteristic, complemented
4#21436249C211yesmaximal, characteristic, complemented
5#21436199C211yesmaximal, characteristic, complemented
6#21436185C211yesmaximal, characteristic, complemented
7#21436136C211yesmaximal, characteristic, complemented
8#21436126C211yesmaximal, characteristic, complemented
9#21436072C211yesmaximal, characteristic, complemented
10#21436070C211yesmaximal, characteristic, complemented
11#21436023C211yesmaximal, characteristic, complemented
12#21436020C211yesmaximal, characteristic, complemented
13#21436008C211yesmaximal, characteristic, complemented
14#21435948C211yesmaximal, characteristic, complemented
15#21435947C211yesmaximal, characteristic, complemented
16#21435937C211yesmaximal, characteristic, complemented
17#21435936C211yesmaximal, characteristic, complemented
18#21434456C211yesmaximal, characteristic, complemented
19#21434060C211yesmaximal, characteristic, complemented
20#21434028C211yesmaximal, characteristic, complemented
21#21433920C211yesmaximal, characteristic, complemented
22#21433786C211yesmaximal, characteristic, complemented
23#21433679C211yesmaximal, characteristic, complemented
24#21433643C211yesmaximal, characteristic, complemented
25#21433404C211yesmaximal, characteristic, complemented
26#21433339C211yesmaximal, characteristic, complemented
27#21432923C211yesmaximal, characteristic, complemented
28#21432785C211yesmaximal, characteristic, complemented
29#21432618C211yesmaximal, characteristic, complemented
30#416×D59C211yesmaximal, characteristic, complemented
31C59×#3302C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic
36C2×#14273750C2211yescharacteristic
37C2×#14273733C2211yescharacteristic
38C22×C8×D59C2211yescharacteristic, complemented
39#16838124—21no—
40#16838123C2211yescharacteristic, complemented
41#16838118C2211yescharacteristic, complemented
42#16838115C2211yescharacteristic, complemented
43#16838114—21no—
44#16838103—21no—
45#16838098C2211yescharacteristic, complemented
46#16838096C2211yescharacteristic, complemented
47#16838094C2211yescharacteristic, complemented
48#16838093C2211yescharacteristic, complemented
49#16838088—21no—
50#16838055C2211yescharacteristic
51#16838054C2211yescharacteristic
52#16838053—21no—
53#16838051C2211yescharacteristic
54#16838050—21no—
55#16838048C2211yescharacteristic
56#16838047C2211yescharacteristic
57#16838044—21no—
58#16838043C2211yescharacteristic
59#16838041—21no—
60#16838040C2211yescharacteristic
61#16838029C2211yescharacteristic, complemented
62#16837991—21no—
63#16837986—21no—
64#16837982C2211yescharacteristic
65#16837977C2211yescharacteristic
66#16837975C2211yescharacteristic
67#16837963—21no—
68#16837960—21no—
69#16837939—21no—
70#16837935—21no—
71#16837915C2211yescharacteristic
72#16837915C2211yescharacteristic, complemented
73#16837911C2211yescharacteristic
74C2×#14273712—21no—
75#123×D59—21no—
76#16837884C2211yescharacteristic, complemented
77#16837882C2211yescharacteristic
78#16837874C2211yescharacteristic
79#117×D59C2211yescharacteristic, complemented
80#16837770C2211yescharacteristic, complemented
81#16837769C2211yescharacteristic, complemented
82#16837764C2211yescharacteristic, complemented
83#16837763C2211yescharacteristic, complemented
84#16837758C2211yescharacteristic, complemented
85#16837757C2211yescharacteristic, complemented
86#16837751C2211yescharacteristic, complemented
87#16837745C2211yescharacteristic, complemented
88#16837743C2211yescharacteristic, complemented
89#16837742C2211yescharacteristic, complemented
90#16837742C2211yescharacteristic, complemented
91#16837741C2211yescharacteristic, complemented
92#16837740C2211yescharacteristic, complemented
93#16837738C2211yescharacteristic, complemented
94#16837736C2211yescharacteristic, complemented
95#16837734C2211yescharacteristic, complemented
96#16837730C2211yescharacteristic, complemented
97#16837729C2211yescharacteristic, complemented
98#16837728C2211yescharacteristic, complemented
99#16837727C2211yescharacteristic, complemented
100#16837726C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837703C2211yescharacteristic, complemented
103#16837702C2211yescharacteristic, complemented
104#16837700C2211yescharacteristic, complemented
105#16837690C2211yescharacteristic, complemented
106#16837689C2211yescharacteristic, complemented
107#16837681C2211yescharacteristic, complemented
108#16837658C2211yescharacteristic, complemented
109#16837657C2211yescharacteristic, complemented
110#16837650C2211yescharacteristic, complemented
111#16837649C2211yescharacteristic, complemented
112#16837642C2211yescharacteristic, complemented
113#16837640C2211yescharacteristic, complemented
114#16837639C2211yescharacteristic, complemented
115#16837638C2211yescharacteristic, complemented
116#16837634C2211yescharacteristic, complemented
117#16837634C2211yescharacteristic, complemented
118#16837634C2211yescharacteristic, complemented
119#16837633C2211yescharacteristic, complemented
120#16837633C2211yescharacteristic, complemented
121#16837631C2211yescharacteristic, complemented
122#16837626C2211yescharacteristic, complemented
123#16837624C2211yescharacteristic, complemented
124#16837620C2211yescharacteristic, complemented
125#16837618C2211yescharacteristic, complemented
126#16837610C2211yescharacteristic, complemented
127#16837606C2211yescharacteristic, complemented
128#16837604C2211yescharacteristic, complemented
129#16837563C2211yescharacteristic, complemented
130#16837563C2211yescharacteristic, complemented
131#16837562C2211yescharacteristic, complemented
132#16837561C2211yescharacteristic, complemented
133#16837552C2211yescharacteristic, complemented
134#16837551C2211yescharacteristic, complemented
135#16837550C2211yescharacteristic, complemented
136#16837550C2211yescharacteristic, complemented
137#16837549C2211yescharacteristic, complemented
138#16837548C2211yescharacteristic, complemented
139#16837547C2211yescharacteristic, complemented
140#16837547C2211yescharacteristic, complemented
141#16837538C2211yescharacteristic, complemented
142#16837537C2211yescharacteristic, complemented
143#16837513C2211yescharacteristic, complemented
144#16837512C2211yescharacteristic, complemented
145#16837503C2211yescharacteristic, complemented
146#16837500C2211yescharacteristic, complemented
147#16837487C2211yescharacteristic, complemented
148C4×D472C2211yescharacteristic, complemented
149#16837482C2211yescharacteristic, complemented
150#16837476C2211yescharacteristic, complemented
151#16837474C2211yescharacteristic, complemented
152#16837472C2211yescharacteristic, complemented
153#16837470C2211yescharacteristic, complemented
154C8×D236C2211yescharacteristic, complemented
155C8×C22⋊D59C2211yescharacteristic, complemented
156C8×C22⋊D59C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837441C2211yescharacteristic, complemented
159#16837439C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837409C2211yescharacteristic, complemented
162#16837406C2211yescharacteristic, complemented
163#16837405C2211yescharacteristic
164#16837405C2211yescharacteristic, complemented
165#16837403C2211yescharacteristic, complemented
166#16837402C2211yescharacteristic
167#16837402C2211yescharacteristic
168#16837402C2211yescharacteristic, complemented
169#16837399C2211yescharacteristic, complemented
170#16837398C2211yescharacteristic, complemented
171#16837397C2211yescharacteristic
172#16837397C2211yescharacteristic, complemented
173#16837397C2211yescharacteristic, complemented
174#16837397C2211yescharacteristic, complemented
175#16837397C2211yescharacteristic, complemented
176#16837396C2211yescharacteristic, complemented
177#16837395C2211yescharacteristic, complemented
178#16837395C2211yescharacteristic, complemented
179#103×D59C2211yescharacteristic, complemented
180#103×D59C2211yescharacteristic, complemented
181C2×#14273649C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic
183#102×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic
186#16837364C2211yescharacteristic, complemented
187#16837356C2211yescharacteristic, complemented
188C59×#556C2211yescharacteristic, complemented
189C59×#547C2211yescharacteristic
190C59×#487C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#485C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#467C2211yescharacteristic, complemented
195C59×#467C2211yescharacteristic, complemented
196C59×#462C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C8×D4×C59C2211yescharacteristic, complemented
201C59×#416C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203#14273773—24no—
204#14273773—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745685—21no—
210C2×#11745685—21no—
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745687—21no—
214C2×#11745687C2311yescharacteristic
215#41×D59—24no—
216#41×D59—42no—
217C2×Q8×D59C2311yescharacteristic
218C22×D236—21no—
219C22×D236C2311yescharacteristic
220C2×D4×D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59C2311yescharacteristic
224C2×D4×D59C2311yescharacteristic
225C22×C4×D59—21no—
226C22×C4×D59C2311yescharacteristic
227#14273759—42no—
228#14273754—24no—
229#14273750—42no—
230C2×#11745672C2311yescharacteristic
231C2×#11745660C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235C2×#11745671C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239#14273733—42no—
240C2×#11745664C2311yescharacteristic
241C2×#11745659C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C2×#11745659C2311yescharacteristic
244C22×C59⋊C8C2311yescharacteristic
245C2×C8×D59—42no—
246C2×C8×D59C2311yescharacteristic
247C2×C8×D59C2311yescharacteristic
248C2×C8×D59C2311yescharacteristic
249C2×C8×D59C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251#14273726—21no—
252#14273726C2311yescharacteristic
253#14273725—21no—
254#14273725C2311yescharacteristic
255#14273722—21no—
256#14273722—21no—
257#14273722—21no—
258#14273721—21no—
259#14273721—21no—
260#14273720—21no—
261#14273719C2311yescharacteristic
262#14273718—21no—
263#14273718C2311yescharacteristic
264#14273717—21no—
265#14273717—21no—
266#14273716—21no—
267#14273716—21no—
268#14273716C2311yescharacteristic
269#14273715—21no—
270#14273715C2311yescharacteristic
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273712—21no—
275#14273712—21no—
276#14273712—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712D411yescharacteristic
286#14273711—21no—
287#14273711—21no—
288#14273710—21no—
289#14273710—21no—
290#14273709—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709—21no—
294#14273709D411yescharacteristic
295#14273708—21no—
296#14273707C2311yescharacteristic
297#14273706C2311yescharacteristic
298#14273705—21no—
299#14273705—21no—
300#14273705—21no—
301#14273705—21no—
302#14273705D411yescharacteristic
303#14273704D411yescharacteristic
304#14273703—21no—
305#14273703C2311yescharacteristic
306#14273703C2311yescharacteristic
307#14273703C2311yescharacteristic
308#14273703C2311yescharacteristic
309#14273702—21no—
310#14273702—21no—
311#14273702—21no—
312#14273702—21no—
313#14273702C2311yescharacteristic
314#14273702C2311yescharacteristic
315#14273702C2311yescharacteristic
316#14273701—21no—
317#14273701C2311yescharacteristic
318#14273701C2311yescharacteristic
319#14273701C2311yescharacteristic
320#14273700—21no—
321#14273700—21no—
322#14273700—21no—
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700D411yescharacteristic
327#14273699—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699D411yescharacteristic
331#14273697—21no—
332#14273697—21no—
333#14273697—21no—
334#14273697—21no—
335#14273697D411yescharacteristic
336#14273695—21no—
337#14273695—21no—
338#14273695D411yescharacteristic
339Q8×Dic59C2311yescharacteristic
340C4×Dic118—21no—
341#14273692—21no—
342C4×D236—21no—
343C4×D236—21no—
344C4×D236—21no—
345C4×D236C2311yescharacteristic
346C4×D236C2311yescharacteristic
347C4×D236C2311yescharacteristic
348D4×Dic59C2311yescharacteristic
349#14273689—21no—
350#14273689—21no—
351#14273689—21no—
352#14273689C2311yescharacteristic
353#14273689C2311yescharacteristic
354C4×C22⋊D59—21no—
355C4×C22⋊D59C2311yescharacteristic
356C4×C22⋊D59C2311yescharacteristic
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363#14273686C2311yescharacteristic
364#14273685—21no—
365#14273685C2311yescharacteristic
366#14273685C2311yescharacteristic
367#14273685C2311yescharacteristic
368#14273685C2311yescharacteristic
369#14273685C2311yescharacteristic
370#14273684—21no—
371#14273684—21no—
372#14273684—21no—
373#14273684—21no—
374#14273684C2311yescharacteristic
375#14273683—21no—
376#14273683—21no—
377C2×C4⋊Dic59C2311yescharacteristic
378C2×Dic59⋊C4—21no—
379C4⋊C4×D59—21no—
380C4⋊C4×D59—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59C2311yescharacteristic
383C4⋊C4×D59C2311yescharacteristic
384C4⋊C4×D59C2311yescharacteristic
385C2×(C2×D59)⋊C4—21no—
386C2×(C2×D59)⋊C4—21no—
387C2×(C2×D59)⋊C4—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C42×D59—21no—
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441#14273638C2311yescharacteristic
442#14273637C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C2×#41×C59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×Q16×C59C2311yescharacteristic
447C2×Q16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C22×C8×C59C2311yescharacteristic
450C22×C8×C59C2311yescharacteristic
451C4⋊Q8×C59C2311yescharacteristic
452C4⋊Q8×C59C2311yescharacteristic
453#126×C59—21no—
454#126×C59—21no—
455#124×C59—21no—
456#123×C59—21no—
457#123×C59—21no—
458C22⋊Q8×C59C2311yescharacteristic
459C22⋊Q8×C59C2311yescharacteristic
460C22⋊Q8×C59C2311yescharacteristic
461C22⋊Q8×C59C2311yescharacteristic
462#121×C59—21no—
463C4×Q8×C59—21no—
464C4×Q8×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467#117×C59C2311yescharacteristic
468#117×C59C2311yescharacteristic
469C2×C4⋊C4×C59—21no—
470#107×C59C2311yescharacteristic
471#107×C59C2311yescharacteristic
472#106×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486C4×C8×C59C2311yescharacteristic
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59C2×D411yescharacteristic
491#41×C59—22no—
492#41×C59—22no—
493#41×C59—41no—
494#41×C59—41no—
495C2×Q8×C59—21no—
496C2×Q8×C59C2411yescharacteristic
497C2×Q8×C59C2411yescharacteristic
498C2×Q8×C59C2411yescharacteristic
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59C2×D411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59C2411yescharacteristic
507C22×C4×C59C2411yescharacteristic
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59C2×D411yescharacteristic
516C2×C22⋊D59C2×D411yescharacteristic
517C2×C22⋊D59C2×D411yescharacteristic
518C2×C22⋊D59C2×D411yescharacteristic
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59C2×D411yescharacteristic
523#11745689—22no—
524#11745689—22no—
525#11745689—22no—
526#11745689—22no—
527#11745689—22no—
528#11745689—22no—
529#11745689—41no—
530#11745689—41no—
531Q8×D59—22no—
532Q8×D59—22no—
533#11745687—22no—
534#11745687—41no—
535#11745687—44no—
536D4×D59—22no—
537D4×D59—22no—
538D4×D59—41no—
539D4×D59—44no—
540D4×D59—44no—
541D4×D59—44no—
542D4×D59#4114yes—
543#11745685—22no—
544#11745685—22no—
545#11745685—22no—
546#11745685—41no—
547#11745685—44no—
548#11745685—44no—
549C2×D236—22no—
550C2×D236—21no—
551C2×D236—21no—
552C2×D236—21no—
553C2×D236—21no—
554C2×D236—21no—
555C2×D236—21no—
556C2×D236—21no—
557C2×D236—21no—
558C2×D236—41no—
559C2×D236—44no—
560C2×D236C2×D411yescharacteristic
561C2×D236C2×D411yescharacteristic
562C2×D236C2411yescharacteristic
563C2×D236C2411yescharacteristic
564C2×D236C2411yescharacteristic
565C2×C4×D59—22no—
566C2×C4×D59—22no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×C4×D59—21no—
579C2×C4×D59—21no—
580C2×C4×D59—44no—
581C2×C4×D59C2×D411yescharacteristic
582C2×C4×D59C2×D411yescharacteristic
583C2×C4×D59C2411yescharacteristic
584C2×C4×D59C2411yescharacteristic
585C2×C4×D59C2411yescharacteristic
586C2×Dic118—21no—
587C2×Dic118—21no—
588C2×Dic118C2×D411yescharacteristic
589C2×Dic118C2411yescharacteristic
590Q16×C59—41no—
591Q16×C59—41no—
592SD16×C59—22no—
593C2×C8×C59—41no—
594C2×C8×C59—41no—
595C2×C8×C59C2411yescharacteristic
596C2×C8×C59C2411yescharacteristic
597C2×C8×C59C2411yescharacteristic
598C2×C8×C59C2411yescharacteristic
599C4⋊C4×C59—21no—
600C4⋊C4×C59—21no—
601C4⋊C4×C59—21no—
602C4⋊C4×C59—21no—
603C4⋊C4×C59—21no—
604C4⋊C4×C59—21no—
605C4⋊C4×C59—21no—
606C4⋊C4×C59—21no—
607C4⋊C4×C59C2×D411yescharacteristic
608C4⋊C4×C59C2411yescharacteristic
609C4⋊C4×C59C2411yescharacteristic
610C4⋊C4×C59C2411yescharacteristic
611C4⋊C4×C59C2411yescharacteristic
612C22⋊C4×C59—21no—
613C22⋊C4×C59—21no—
614C22⋊C4×C59—21no—
615C22⋊C4×C59—21no—
616C22⋊C4×C59—21no—
617C22⋊C4×C59—21no—
618C22⋊C4×C59—21no—
619C22⋊C4×C59C2×D411yescharacteristic
620C22⋊C4×C59C2×D411yescharacteristic
621C42×C59—21no—
622C42×C59—21no—
623C42×C59—21no—
624C42×C59C2411yescharacteristic
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627C22⋊Dic59—21no—
628C22⋊Dic59C2×D411yescharacteristic
629C22⋊Dic59C2×D411yescharacteristic
630#11745672—41no—
631#11745671—22no—
632#11745671—41no—
633#11745671—41no—
634#11745671—41no—
635#11745669—22no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4C2×D411yescharacteristic
661(C2×D59)⋊C4C2×D411yescharacteristic
662(C2×D59)⋊C4C2×D411yescharacteristic
663(C2×D59)⋊C4C2×D411yescharacteristic
664(C2×D59)⋊C4C2×D411yescharacteristic
665(C2×D59)⋊C4C2×D411yescharacteristic
666C4⋊Dic59—21no—
667C4⋊Dic59—21no—
668C4⋊Dic59—21no—
669C4⋊Dic59—21no—
670C4⋊Dic59C2×D411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672C4⋊Dic59C2411yescharacteristic
673C4⋊Dic59C2411yescharacteristic
674C4⋊Dic59C2411yescharacteristic
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4C2×D411yescharacteristic
690Dic59⋊C4C2×D411yescharacteristic
691Dic59⋊C4C2×D411yescharacteristic
692Dic59⋊C4C2×D411yescharacteristic
693C4×Dic59—21no—
694C4×Dic59—21no—
695C4×Dic59—21no—
696C4×Dic59—21no—
697C4×Dic59—21no—
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59C2411yescharacteristic
701#11745664—41no—
702C2×C59⋊C8—41no—
703C2×C59⋊C8C2411yescharacteristic
704C2×C59⋊C8C2411yescharacteristic
705C2×C59⋊C8C2411yescharacteristic
706C2×C59⋊C8C2411yescharacteristic
707D472—22no—
708D472—41no—
709#11745660—41no—
710#11745659—22no—
711#11745659—22no—
712#11745659—41no—
713C8×D59—22no—
714C8×D59—22no—
715C8×D59—41no—
716C8×D59—41no—
717C8×D59—41no—
718C23×C59—21no—
719C23×C59C22×D411yescharacteristic
720C23×C59C22×D411yescharacteristic
721C22×D59—21no—
722C22×D59—22no—
723C22×D59—24no—
724C22×D59—21no—
725C22×D59—21no—
726C22×D59—41no—
727C22×D59—41no—
728C22×D59—42no—
729C22×D59—42no—
730C22×D59—81no—
731C22×D59—81no—
732C22×D59—81no—
733C22×D59—81no—
734C22×D59—81no—
735C22×D59—81no—
736C22×D59C22×D411yescharacteristic
737C22×D59C22×D411yescharacteristic
738C22×D59C22×D411yescharacteristic
739Q8×C59—21no—
740Q8×C59—21no—
741Q8×C59—21no—
742Q8×C59—21no—
743Q8×C59—21no—
744Q8×C59—21no—
745Q8×C59—81no—
746D4×C59—21no—
747D4×C59—41no—
748D4×C59—42no—
749D4×C59—42no—
750D4×C59C2×#4112yes—
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—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—42no—
763C2×C4×C59—42no—
764C2×C4×C59—81no—
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C22×D411yescharacteristic
767C2×C4×C59C22×D411yescharacteristic
768C2×C4×C59C22×D411yescharacteristic
769C2×C4×C59C2511yescharacteristic
770C22⋊D59—22no—
771C22⋊D59—22no—
772C22⋊D59—24no—
773C22⋊D59—41no—
774C22⋊D59—41no—
775C22⋊D59—42no—
776C22⋊D59—42no—
777C22⋊D59—42no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C22⋊D59—81no—
781C2×Dic59—22no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—42no—
788C2×Dic59—81no—
789C2×Dic59—81no—
790C2×Dic59C22×D411yescharacteristic
791C2×Dic59C22×D411yescharacteristic
792C2×Dic59C22×D411yescharacteristic
793C2×Dic59C22×D411yescharacteristic
794C2×Dic59C22×D411yescharacteristic
795D236—22no—
796D236—21no—
797D236—21no—
798D236—21no—
799D236—21no—
800D236—21no—
801D236—41no—
802D236—42no—
803D236—42no—
804D236—42no—
805D236—42no—
806D236—42no—
807D236—81no—
808D236—81no—
809D236—81no—
810D236C2×#4112yes—
811C4×D59—22no—
812C4×D59—21no—
813C4×D59—21no—
814C4×D59—21no—
815C4×D59—21no—
816C4×D59—22no—
817C4×D59—42no—
818C4×D59—42no—
819C4×D59—42no—
820C4×D59—42no—
821C4×D59—42no—
822C4×D59—42no—
823C4×D59—81no—
824C4×D59—81no—
825C4×D59—81no—
826C4×D59—81no—
827C4×D59—81no—
828C4×D59—81no—
829C4×D59—81no—
830C4×D59C2×#4112yes—
831C4×D59H(5,𝔽2)12yes—
832Dic118—22no—
833Dic118—21no—
834Dic118—21no—
835Dic118—42no—
836Dic118—81no—
837C8×C59—21no—
838C8×C59—21no—
839C8×C59—21no—
840C8×C59—21no—
841C59⋊C8—21no—
842C59⋊C8—21no—
843C59⋊C8—21no—
844C59⋊C8—21no—
845#61169—591nomaximal, Sylow
846C22×C59—21no—
847C22×C59—21no—
848C22×C59—21no—
849C22×C59—21no—
850C22×C59—21no—
851C22×C59—22no—
852C22×C59—21no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59C23×D411yescharacteristic
856C2×D59—21no—
857C2×D59—21no—
858C2×D59—21no—
859C2×D59—21no—
860C2×D59—21no—
861C2×D59—21no—
862C2×D59—21no—
863C2×D59—21no—
864C2×D59—22no—
865C2×D59—44no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—84no—
875C2×D59—162no—
876C2×D59—162no—
877C2×D59#54612yes—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—21no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59—41no—
886C4×C59—41no—
887C4×C59—41no—
888C4×C59—41no—
889C4×C59C22×#4111yescharacteristic
890C4×C59C2×H(5,𝔽2)11yescharacteristic
891Dic59—21no—
892Dic59—21no—
893Dic59—21no—
894Dic59—21no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898Dic59—41no—
899Dic59—41no—
900Dic59#54612yes—
901#3493—591no—
902#3485—591no—
903#3319—591no—
904#3319—591no—
905#3315—591no—
906#3315—591no—
907#3311—591no—
908#3311—591no—
909#3307—591no—
910#3307—591no—
911#3303—591no—
912#3303—591no—
913#3302—591no—
914#3302D5911yescharacteristic, complemented
915#3297—591no—
916#3297—591no—
917#3296—591no—
918#3296—591no—
919#3137—591no—
920#3097—591no—
921#3093—591no—
922#3081—591no—
923#3063—591no—
924#3050—591no—
925#3046—591no—
926#3012—591no—
927#3005—591no—
928#2946—591no—
929#2929—591no—
930#2897—591no—
931C2×#416—591no—
932C2×C59—41no—
933C2×C59—42no—
934C2×C59—41no—
935C2×C59C2×#54611yescharacteristic
936C2×C59#358411yescharacteristic
937C2×C59#358411yescharacteristic
938D59—22no—
939D59—41no—
940D59—41no—
941D59—42no—
942D59—81no—
943D59—81no—
944C2×H(5,𝔽2)—591no—
945C22×#41—591no—
946C2×#137—591no—
947C2×AGL(1,ℤ/8)—591no—
948C2×#135—591no—
949C2×#131—591no—
950C23×C8—591no—
951#556—591no—
952#556—1181no—
953#556C2×D5911yescharacteristic, complemented
954#555—591no—
955#555—591no—
956#555—1181no—
957#553—591no—
958#553—591no—
959#553—1181no—
960#552—591no—
961#552—591no—
962#552—1181no—
963#547—591no—
964#547—591no—
965#547—591no—
966#547—1181no—
967#547—1181no—
968#547C2×D5911yescharacteristic
969#546—591no—
970#546—591no—
971#546—591no—
972#546—591no—
973#546—1181no—
974#546—1181no—
975#544—591no—
976#538—1181no—
977#538—1181no—
978#537—591no—
979#536—591no—
980#536—591no—
981#534—1181no—
982#534—1181no—
983#529—1181no—
984#529—1181no—
985#525—591no—
986#525—591no—
987#525—591no—
988C2×#123—1181no—
989C2×#123—1181no—
990#520—591no—
991#520—591no—
992#518—591no—
993C2×#117—591no—
994#491—591no—
995#491—591no—
996#489—591no—
997#489—591no—
998#488—591no—
999#488—591no—
1000#487—591no—
1001#487C2×D5911yescharacteristic, complemented
1002#485—591no—
1003#485—591no—
1004#485—591no—
1005#485—591no—
1006#485—591no—
1007#485—591no—
1008#485C2×D5911yescharacteristic, complemented
1009#485C2×D5911yescharacteristic, complemented
1010#484—591no—
1011#484—591no—
1012#483—591no—
1013#483—591no—
1014#482—591no—
1015#482—591no—
1016#482—591no—
1017#482—591no—
1018#478—591no—
1019#478—591no—
1020#478—591no—
1021#478—591no—
1022#476—591no—
1023#476—591no—
1024#474—591no—
1025#474C2×D5911yescharacteristic, complemented
1026#470—591no—
1027#470—591no—
1028#468—591no—
1029#468—591no—
1030#467—591no—
1031#467—591no—
1032#467C2×D5911yescharacteristic, complemented
1033#467C2×D5911yescharacteristic, complemented
1034#466—591no—
1035#466—591no—
1036#465—591no—
1037#465—591no—
1038#465—591no—
1039#465—591no—
1040#465—591no—
1041#465—591no—
1042#464—591no—
1043#464—591no—
1044#463—591no—
1045#463—591no—
1046#462—591no—
1047#462C2×D5911yescharacteristic, complemented
1048#461—591no—
1049#461—591no—
1050#452—591no—
1051#452—591no—
1052#452—591no—
1053#452—591no—
1054#452C2×D5911yescharacteristic, complemented
1055#452C2×D5911yescharacteristic, complemented
1056#450—591no—
1057#450—591no—
1058#449—591no—
1059#449—591no—
1060#449—591no—
1061#449—591no—
1062#449—591no—
1063#449—591no—
1064#447—591no—
1065#447—591no—
1066#442—591no—
1067#442—591no—
1068#440—591no—
1069#440—591no—
1070C4×SD16—591no—
1071C4×SD16C2×D5911yescharacteristic, complemented
1072C4×D8—591no—
1073C4×D8—591no—
1074#435—591no—
1075#435—591no—
1076#435—591no—
1077#435—591no—
1078C8×D4—591no—
1079C8×D4—591no—
1080C8×D4—591no—
1081C8×D4C2×D5911yescharacteristic, complemented
1082#428—591no—
1083#428—591no—
1084#427—591no—
1085#424—591no—
1086#419—591no—
1087#418—591no—
1088#418—591no—
1089#418—591no—
1090#417—591no—
1091#417—591no—
1092#417—591no—
1093#417—591no—
1094#416—591no—
1095#416—591no—
1096#416—591no—
1097#416—591no—
1098#416—591no—
1099#416—591no—
1100#416—591no—
1101#416—591no—
1102#416—591no—
1103#416—591no—
1104#416C2×D5911yescharacteristic, complemented
1105#416C2×D5911yescharacteristic, complemented
1106C2×#103—591no—
1107C2×#103—591no—
1108C2×#102—591no—
1109C2×#102—591no—
1110C2×#102—591no—
1111C2×#102—591no—
1112#408—591no—
1113#407—591no—
1114#405—591no—
1115C59#6116911yescharacteristic, complemented, Sylow
1116H(5,𝔽2)—1184no—
1117H(5,𝔽2)—2362no—
1118C2×#41—591no—
1119C2×#41—591no—
1120C2×#41—591no—
1121C2×#41—591no—
1122C2×#41—591no—
1123C2×#41—591no—
1124C2×#41—591no—
1125C2×#41—1181no—
1126C2×#41—1181no—
1127C2×#41—1181no—
1128C2×#41—1184no—
1129C2×#41—2362no—
1130C2×#41C22×D5911yescharacteristic
1131C2×#41C22×D5911yescharacteristic
1132C22×Q8—591no—
1133C22×D4—591no—
1134C22×D4—591no—
1135C22×D4—591no—
1136C22×D4—1181no—
1137C22×D4—1181no—
1138C22×D4—1181no—
1139C22×D4—1181no—
1140C23×C4—591no—
1141C23×C4—1181no—
1142#137—2362no—
1143AGL(1,ℤ/8)—1184no—
1144#135—2362no—
1145C2×Q16—591no—
1146C2×Q16C22×D5911yescharacteristic
1147C2×Q16C22×D5911yescharacteristic
1148C2×SD16—591no—
1149C2×SD16—591no—
1150C2×SD16—591no—
1151C2×SD16—591no—
1152C2×SD16—591no—
1153C2×SD16C22×D5911yescharacteristic
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—591no—
1157#131—2362no—
1158C2×M16—591no—
1159C2×M16—591no—
1160C2×M16—591no—
1161C2×M16—591no—
1162C22×C8—591no—
1163C22×C8—591no—
1164C22×C8—591no—
1165C22×C8—591no—
1166C22×C8—591no—
1167C22×C8—591no—
1168C22×C8—2362no—
1169C22×C8C22×D5911yescharacteristic
1170C22×C8C22×D5911yescharacteristic
1171C4⋊Q8—591no—
1172C4⋊Q8—591no—
1173C4⋊Q8—1181no—
1174C4⋊Q8—1181no—
1175C4⋊Q8C22×D5911yescharacteristic
1176C4⋊Q8C22×D5911yescharacteristic
1177#126—21no—
1178#126—21no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#125—591no—
1186#125—591no—
1187#125—1181no—
1188#125—1181no—
1189#125—1181no—
1190#124—21no—
1191#124—591no—
1192#124—591no—
1193#124—1181no—
1194#124—1181no—
1195#124—1181no—
1196#124—1181no—
1197#124—1181no—
1198#124—1181no—
1199#123—21no—
1200#123—21no—
1201#123—591no—
1202#123—591no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223C22⋊Q8—591no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—591no—
1229C22⋊Q8—591no—
1230C22⋊Q8—591no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8—1181no—
1236C22⋊Q8C22×D5911yescharacteristic
1237C22⋊Q8C22×D5911yescharacteristic
1238C22⋊Q8C22×D5911yescharacteristic
1239C22⋊Q8C22×D5911yescharacteristic
1240#121—21no—
1241#121—591no—
1242#121—591no—
1243#121—591no—
1244#121—591no—
1245#121—591no—
1246#121—591no—
1247#121—591no—
1248#121—591no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#120—591no—
1264#120—591no—
1265#120—1181no—
1266#120—1181no—
1267#120—1181no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271C4×Q8—21no—
1272C4×Q8—591no—
1273C4×Q8—1181no—
1274C4×Q8—1181no—
1275C4×Q8C22×D5911yescharacteristic
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—591no—
1279C4×D4—591no—
1280C4×D4—591no—
1281C4×D4—591no—
1282C4×D4—591no—
1283C4×D4—591no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4C22×D5911yescharacteristic
1298C4×D4C22×D5911yescharacteristic
1299#117—591no—
1300#117—591no—
1301#117—591no—
1302#117—591no—
1303#117—591no—
1304#117—591no—
1305#117—591no—
1306#117—1181no—
1307#117—1181no—
1308#117—1181no—
1309#117—1181no—
1310#117—1181no—
1311#117—1181no—
1312#117—1181no—
1313#117C22×D5911yescharacteristic
1314#117C22×D5911yescharacteristic
1315C2×C4⋊C4—21no—
1316C2×C4⋊C4—591no—
1317C2×C4⋊C4—591no—
1318C2×C4⋊C4—591no—
1319C2×C4⋊C4—591no—
1320C2×C4⋊C4—1181no—
1321C2×C4⋊C4—1181no—
1322C2×C4⋊C4—1181no—
1323C2×C4⋊C4—1181no—
1324C2×C22⋊C4—1181no—
1325C2×C22⋊C4—1181no—
1326C2×C22⋊C4—1181no—
1327C2×C22⋊C4—1181no—
1328C2×C22⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C42—1181no—
1332#107—591no—
1333#107—591no—
1334#107—591no—
1335#107—591no—
1336#107C22×D5911yescharacteristic
1337#107C22×D5911yescharacteristic
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341#106—591no—
1342#106—591no—
1343#106C22×D5911yescharacteristic
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8C22×D5911yescharacteristic
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103—591no—
1360#103—591no—
1361#103C22×D5911yescharacteristic
1362#103C22×D5911yescharacteristic
1363#103C22×D5911yescharacteristic
1364#103C22×D5911yescharacteristic
1365#103C22×D5911yescharacteristic
1366#103C22×D5911yescharacteristic
1367#103C22×D5911yescharacteristic
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383#102—591no—
1384#102—591no—
1385#102C22×D5911yescharacteristic
1386#102C22×D5911yescharacteristic
1387#102C22×D5911yescharacteristic
1388C22⋊C8—591no—
1389C22⋊C8—591no—
1390C22⋊C8—591no—
1391C22⋊C8—591no—
1392C22⋊C8—591no—
1393C22⋊C8—591no—
1394C22⋊C8C22×D5911yescharacteristic
1395C22⋊C8C22×D5911yescharacteristic
1396#97—591no—
1397#97—591no—
1398C4×C8—591no—
1399C4×C8C22×D5911yescharacteristic
1400C24—591no—
1401C24—1181no—
1402C24—1181no—
1403C24—1181no—
1404#41—22no—
1405#41—22no—
1406#41—41no—
1407#41—41no—
1408#41—1182no—
1409#41—1182no—
1410#41—1182no—
1411#41—1182no—
1412#41—1182no—
1413#41—1182no—
1414#41—1182no—
1415#41—1182no—
1416#41—1182no—
1417#41—1182no—
1418#41—2361no—
1419#41—2364no—
1420#41—2364no—
1421#41—2361no—
1422#41—2364no—
1423#41—2361no—
1424#41—2361no—
1425C2×Q8—21no—
1426C2×Q8—591no—
1427C2×Q8—591no—
1428C2×Q8—1181no—
1429C2×Q8—1181no—
1430C2×Q8—1182no—
1431C2×Q8—1182no—
1432C2×Q8C23×D5911yescharacteristic
1433C2×Q8C23×D5911yescharacteristic
1434C2×Q8C23×D5911yescharacteristic
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—594no—
1438C2×D4—591no—
1439C2×D4—591no—
1440C2×D4—591no—
1441C2×D4—591no—
1442C2×D4—591no—
1443C2×D4—591no—
1444C2×D4—591no—
1445C2×D4—591no—
1446C2×D4—591no—
1447C2×D4—1182no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1182no—
1456C2×D4—1181no—
1457C2×D4—1181no—
1458C2×D4—1182no—
1459C2×D4—1181no—
1460C2×D4—1181no—
1461C2×D4—1181no—
1462C2×D4—1181no—
1463C2×D4—1181no—
1464C2×D4—1181no—
1465C2×D4—2361no—
1466C2×D4—2364no—
1467C2×D4—2361no—
1468C2×D4—2364no—
1469C2×D4—2364no—
1470C2×D4—2364no—
1471C2×D4D4×D5911yescharacteristic
1472C2×D4C23×D5911yescharacteristic
1473C22×C4—21no—
1474C22×C4—21no—
1475C22×C4—21no—
1476C22×C4—591no—
1477C22×C4—591no—
1478C22×C4—591no—
1479C22×C4—591no—
1480C22×C4—591no—
1481C22×C4—591no—
1482C22×C4—1182no—
1483C22×C4—1182no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4—1181no—
1489C22×C4—1181no—
1490C22×C4—1181no—
1491C22×C4—1181no—
1492C22×C4—1181no—
1493C22×C4—1181no—
1494C22×C4—1181no—
1495C22×C4—1181no—
1496C22×C4—1181no—
1497C22×C4—1181no—
1498C22×C4—1181no—
1499C22×C4—1181no—
1500C22×C4—2364no—
1501C22×C4C23×D5911yescharacteristic
1502C22×C4C23×D5911yescharacteristic
1503Q16—41no—
1504Q16—41no—
1505Q16—2361no—
1506SD16—22no—
1507SD16—1182no—
1508SD16—2361no—
1509SD16—2361no—
1510SD16—2361no—
1511SD16—2361no—
1512D8—1182no—
1513D8—1182no—
1514D8—2361no—
1515M16—1182no—
1516M16—1182no—
1517M16—2361no—
1518M16—2361no—
1519C2×C8—41no—
1520C2×C8—41no—
1521C2×C8—591no—
1522C2×C8—591no—
1523C2×C8—591no—
1524C2×C8—591no—
1525C2×C8—1182no—
1526C2×C8—1182no—
1527C2×C8—2361no—
1528C2×C8—2361no—
1529C2×C8—2361no—
1530C2×C8—2361no—
1531C2×C8C23×D5911yescharacteristic
1532C2×C8C23×D5911yescharacteristic
1533C2×C8C23×D5911yescharacteristic
1534C2×C8C23×D5911yescharacteristic
1535C4⋊C4—21no—
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—21no—
1543C4⋊C4—591no—
1544C4⋊C4—591no—
1545C4⋊C4—591no—
1546C4⋊C4—591no—
1547C4⋊C4—591no—
1548C4⋊C4—591no—
1549C4⋊C4—591no—
1550C4⋊C4—591no—
1551C4⋊C4—591no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4—1181no—
1558C4⋊C4—1181no—
1559C4⋊C4—1181no—
1560C4⋊C4—1181no—
1561C4⋊C4—1181no—
1562C4⋊C4—1181no—
1563C4⋊C4—1181no—
1564C4⋊C4—1181no—
1565C4⋊C4—1181no—
1566C4⋊C4—1181no—
1567C4⋊C4—1181no—
1568C4⋊C4—1181no—
1569C4⋊C4—1181no—
1570C4⋊C4D4×D5911yescharacteristic
1571C4⋊C4C23×D5911yescharacteristic
1572C4⋊C4C23×D5911yescharacteristic
1573C4⋊C4C23×D5911yescharacteristic
1574C4⋊C4C23×D5911yescharacteristic
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—591no—
1583C22⋊C4—591no—
1584C22⋊C4—591no—
1585C22⋊C4—591no—
1586C22⋊C4—591no—
1587C22⋊C4—591no—
1588C22⋊C4—591no—
1589C22⋊C4—591no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
1609C22⋊C4—1181no—
1610C22⋊C4—1181no—
1611C22⋊C4—1181no—
1612C22⋊C4—1181no—
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4—1181no—
1617C22⋊C4D4×D5911yescharacteristic
1618C22⋊C4D4×D5911yescharacteristic
1619C42—21no—
1620C42—21no—
1621C42—21no—
1622C42—591no—
1623C42—1181no—
1624C42—1181no—
1625C42—1181no—
1626C42—1181no—
1627C42—1181no—
1628C42—1181no—
1629C42—1181no—
1630C42C23×D5911yescharacteristic
1631C23—21no—
1632C23—591no—
1633C23—591no—
1634C23—591no—
1635C23—1184no—
1636C23—1182no—
1637C23—1181no—
1638C23—1181no—
1639C23—1181no—
1640C23—4721no—
1641C23—4721no—
1642C23—4721no—
1643C23—4721no—
1644C23—4721no—
1645C23—4721no—
1646C23—2361no—
1647C23—2361no—
1648C23—2362no—
1649C23—2362no—
1650C23C2×D4×D5911yescharacteristic
1651C23C2×D4×D5911yescharacteristic
1652Q8—21no—
1653Q8—21no—
1654Q8—21no—
1655Q8—21no—
1656Q8—21no—
1657Q8—21no—
1658Q8—81no—
1659Q8—1182no—
1660Q8—1181no—
1661Q8—1181no—
1662Q8—4721no—
1663Q8—2362no—
1664D4—21no—
1665D4—41no—
1666D4—42no—
1667D4—42no—
1668D4—592no—
1669D4—1182no—
1670D4—1184no—
1671D4—1182no—
1672D4—1182no—
1673D4—1181no—
1674D4—1181no—
1675D4—1181no—
1676D4—1181no—
1677D4—1181no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—2361no—
1685D4—2362no—
1686D4—2362no—
1687D4—2362no—
1688D4—2362no—
1689D4—2362no—
1690D4—2361no—
1691D4—2361no—
1692D4—2362no—
1693D4—2362no—
1694D4—2362no—
1695D4#41×D5912yes—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—42no—
1708C2×C4—42no—
1709C2×C4—81no—
1710C2×C4—591no—
1711C2×C4—592no—
1712C2×C4—592no—
1713C2×C4—591no—
1714C2×C4—591no—
1715C2×C4—591no—
1716C2×C4—591no—
1717C2×C4—1182no—
1718C2×C4—1182no—
1719C2×C4—1182no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—1181no—
1725C2×C4—1181no—
1726C2×C4—1181no—
1727C2×C4—1181no—
1728C2×C4—1181no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—4721no—
1732C2×C4—4721no—
1733C2×C4—4721no—
1734C2×C4—4721no—
1735C2×C4—4721no—
1736C2×C4—4721no—
1737C2×C4—4721no—
1738C2×C4—2362no—
1739C2×C4—2362no—
1740C2×C4—2362no—
1741C2×C4—2362no—
1742C2×C4—2362no—
1743C2×C4—2362no—
1744C2×C4—2362no—
1745C2×C4C2×D4×D5911yescharacteristic
1746C2×C4C2×D4×D5911yescharacteristic
1747C2×C4C2×D4×D5911yescharacteristic
1748C2×C4C2×D4×D5911yescharacteristic
1749C2×C4C24×D5911yescharacteristic
1750C8—21no—
1751C8—21no—
1752C8—21no—
1753C8—21no—
1754C8—1181no—
1755C8—1181no—
1756C8—1181no—
1757C8—1181no—
1758C22—21no—
1759C22—21no—
1760C22—22no—
1761C22—21no—
1762C22—21no—
1763C22—21no—
1764C22—21no—
1765C22—41no—
1766C22—41no—
1767C22—592no—
1768C22—1181no—
1769C22—1181no—
1770C22—1181no—
1771C22—1181no—
1772C22—1182no—
1773C22—1181no—
1774C22—1181no—
1775C22—1181no—
1776C22—1181no—
1777C22—9442no—
1778C22—9442no—
1779C22—4724no—
1780C22—2364no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22—2361no—
1786C22—2361no—
1787C22—2361no—
1788C22—2361no—
1789C22C22×D4×D5911yescharacteristic
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—21no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—592no—
1802C4—1181no—
1803C4—1181no—
1804C4—1181no—
1805C4—1181no—
1806C4—2361no—
1807C4—2361no—
1808C4—2361no—
1809C4—2361no—
1810C4—2361no—
1811C4C2×#41×D5911yescharacteristic
1812C4H(5,𝔽2)×D5911yescharacteristic
1813C2—41no—
1814C2—41no—
1815C2—42no—
1816C2—1182no—
1817C2—4721no—
1818C2—4721no—
1819C2—2361no—
1820C2—2361no—
1821C2—2362no—
1822C2#546×D5911yescharacteristic
1823C2#2143886511yescharacteristic
1824C2#2143886611yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3302C2
socleC22×C59C23×D4
hypercenter#3302D59
hypocenterC59#61169
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3302

Complements

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

NH ≅ G/Ntype
1. #21437810C2semidirect
2. #21437735C2semidirect
3. #21436255C2semidirect
4. #21436249C2semidirect
5. #21436199C2semidirect
6. #21436185C2semidirect
7. #21436136C2semidirect
8. #21436126C2semidirect
9. #21436072C2semidirect
10. #21436070C2semidirect
11. #21436023C2semidirect
12. #21436020C2semidirect
13. #21436008C2semidirect
14. #21435948C2semidirect
15. #21435947C2semidirect
16. #21435937C2semidirect
17. #21435936C2semidirect
18. #21434456C2semidirect
19. #21434060C2semidirect
20. #21434028C2semidirect
21. #21433920C2semidirect
22. #21433786C2semidirect
23. #21433679C2semidirect
24. #21433643C2semidirect
25. #21433404C2semidirect
26. #21433339C2semidirect
27. #21432923C2semidirect
28. #21432785C2semidirect
29. #21432618C2semidirect
30. #416×D59C2semidirect
31. C59×#3302C2semidirect
34. C2×#14273759C22semidirect
38. C22×C8×D59C22semidirect
40. #16838123C22semidirect
41. #16838118C22semidirect
42. #16838115C22semidirect
45. #16838098C22semidirect
46. #16838096C22semidirect
47. #16838094C22semidirect
48. #16838093C22semidirect
61. #16838029C22semidirect
72. #16837915C22semidirect
76. #16837884C22semidirect
79. #117×D59C22semidirect
80. #16837770C22semidirect
81. #16837769C22semidirect
82. #16837764C22semidirect
83. #16837763C22semidirect
84. #16837758C22semidirect
85. #16837757C22semidirect
86. #16837751C22semidirect
87. #16837745C22semidirect
88. #16837743C22semidirect
89. #16837742C22semidirect
90. #16837742C22semidirect
91. #16837741C22semidirect
92. #16837740C22semidirect
93. #16837738C22semidirect
94. #16837736C22semidirect
95. #16837734C22semidirect
96. #16837730C22semidirect
97. #16837729C22semidirect
98. #16837728C22semidirect
99. #16837727C22semidirect
100. #16837726C22semidirect
101. #16837705C22semidirect
102. #16837703C22semidirect
103. #16837702C22semidirect
104. #16837700C22semidirect
105. #16837690C22semidirect
106. #16837689C22semidirect
107. #16837681C22semidirect
108. #16837658C22semidirect
109. #16837657C22semidirect
110. #16837650C22semidirect
111. #16837649C22semidirect
112. #16837642C22semidirect
113. #16837640C22semidirect
114. #16837639C22semidirect
115. #16837638C22semidirect
116. #16837634C22semidirect
117. #16837634C22semidirect
118. #16837634C22semidirect
119. #16837633C22semidirect
120. #16837633C22semidirect
121. #16837631C22semidirect
122. #16837626C22semidirect
123. #16837624C22semidirect
124. #16837620C22semidirect
125. #16837618C22semidirect
126. #16837610C22semidirect
127. #16837606C22semidirect
128. #16837604C22semidirect
129. #16837563C22semidirect
130. #16837563C22semidirect
131. #16837562C22semidirect
132. #16837561C22semidirect
133. #16837552C22semidirect
134. #16837551C22semidirect
135. #16837550C22semidirect
136. #16837550C22semidirect
137. #16837549C22semidirect
138. #16837548C22semidirect
139. #16837547C22semidirect
140. #16837547C22semidirect
141. #16837538C22semidirect
142. #16837537C22semidirect
143. #16837513C22semidirect
144. #16837512C22semidirect
145. #16837503C22semidirect
146. #16837500C22semidirect
147. #16837487C22semidirect
148. C4×D472C22semidirect
149. #16837482C22semidirect
150. #16837476C22semidirect
151. #16837474C22semidirect
152. #16837472C22semidirect
153. #16837470C22semidirect
154. C8×D236C22semidirect
155. C8×C22⋊D59C22semidirect
156. C8×C22⋊D59C22semidirect
157. #16837443C22semidirect
158. #16837441C22semidirect
159. #16837439C22semidirect
160. #16837427C22semidirect
161. #16837409C22semidirect
162. #16837406C22semidirect
164. #16837405C22semidirect
165. #16837403C22semidirect
168. #16837402C22semidirect
169. #16837399C22semidirect
170. #16837398C22semidirect
172. #16837397C22semidirect
173. #16837397C22semidirect
174. #16837397C22semidirect
175. #16837397C22semidirect
176. #16837396C22semidirect
177. #16837395C22semidirect
178. #16837395C22semidirect
179. #103×D59C22semidirect
180. #103×D59C22semidirect
181. C2×#14273649C22semidirect
184. #102×D59C22semidirect
186. #16837364C22semidirect
187. #16837356C22semidirect
188. C59×#556C22semidirect
190. C59×#487C22semidirect
191. C59×#485C22semidirect
192. C59×#485C22semidirect
193. C59×#474C22semidirect
194. C59×#467C22semidirect
195. C59×#467C22semidirect
196. C59×#462C22semidirect
197. C59×#452C22semidirect
198. C59×#452C22semidirect
199. C4×SD16×C59C22semidirect
200. C8×D4×C59C22semidirect
201. C59×#416C22semidirect
202. C59×#416C22semidirect
914. #3302D59semidirect
953. #556C2×D59semidirect
1001. #487C2×D59semidirect
1008. #485C2×D59semidirect
1009. #485C2×D59semidirect
1025. #474C2×D59semidirect
1032. #467C2×D59semidirect
1033. #467C2×D59semidirect
1047. #462C2×D59semidirect
1054. #452C2×D59semidirect
1055. #452C2×D59semidirect
1071. C4×SD16C2×D59semidirect
1081. C8×D4C2×D59semidirect
1104. #416C2×D59semidirect
1105. #416C2×D59semidirect
1115. C59#61169semidirect

Maximal subgroups

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

subgroupindex
#214378102
#214377352
#214362552
#214362492
#214361992
#214361852
#214361362
#214361262
#214360722
#214360702
#214360232
#214360202
#214360082
#214359482
#214359472
#214359372
#214359362
#214344562
#214340602
#214340282
#214339202
#214337862
#214336792
#214336432
#214334042
#214333392
#214329232
#214327852
#214326182
#416×D592
C59×#33022
#6116959