Finite Group Databasebeta

← #29466204

Subgroups — #29466204

Order 15104.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437841C211yesmaximal, characteristic, complemented
2#21437762C211yesmaximal, characteristic
3#21436431C211yesmaximal, characteristic, complemented
4#21436427C211yesmaximal, characteristic, complemented
5#21436368C211yesmaximal, characteristic, complemented
6#21436364C211yesmaximal, characteristic, complemented
7#21436325C211yesmaximal, characteristic, complemented
8#21436321C211yesmaximal, characteristic, complemented
9#21436319C211yesmaximal, characteristic, complemented
10#21436310C211yesmaximal, characteristic, complemented
11#21436227C211yesmaximal, characteristic, complemented
12#21436218C211yesmaximal, characteristic, complemented
13#21436183C211yesmaximal, characteristic, complemented
14#21436176C211yesmaximal, characteristic, complemented
15#21436163C211yesmaximal, characteristic, complemented
16#21436119C211yesmaximal, characteristic, complemented
17#21436112C211yesmaximal, characteristic, complemented
18#21434447C211yesmaximal, characteristic, complemented
19#21434077C211yesmaximal, characteristic, complemented
20#21434035C211yesmaximal, characteristic, complemented
21#21433944C211yesmaximal, characteristic, complemented
22#21433786C211yesmaximal, characteristic, complemented
23#468×D59C211yesmaximal, characteristic, complemented
24#21433615C211yesmaximal, characteristic, complemented
25#21433370C211yesmaximal, characteristic, complemented
26#21433355C211yesmaximal, characteristic, complemented
27#21432938C211yesmaximal, characteristic, complemented
28#21432794C211yesmaximal, characteristic, complemented
29#21432618C211yesmaximal, characteristic, complemented
30#21432614C211yesmaximal, characteristic, complemented
31C59×#3313C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C22×#11745689C2211yescharacteristic
34C2×#14273759C2211yescharacteristic
35C2×#14273759C2211yescharacteristic, complemented
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×#14273733C2211yescharacteristic, complemented
38C2×M16×D59C2211yescharacteristic, complemented
39#16838120C2211yescharacteristic, complemented
40#16838113C2211yescharacteristic, complemented
41#16838110C2211yescharacteristic, complemented
42#16838093—21no—
43#16838093C2211yescharacteristic, complemented
44#16838092C2211yescharacteristic, complemented
45#16838091C2211yescharacteristic, complemented
46#16838088—21no—
47#16838086C2211yescharacteristic, complemented
48#16838082—21no—
49#16838077—21no—
50#16838074C2211yescharacteristic
51#16838071C2211yescharacteristic
52#16838063C2211yescharacteristic
53#16838045—21no—
54#16838045C2211yescharacteristic
55#16838043—21no—
56#16838043C2211yescharacteristic
57D4×D236—21no—
58D4×D236C2211yescharacteristic
59#16838036—21no—
60#16838036C2211yescharacteristic
61#16838029C2211yescharacteristic, complemented
62#16838016—21no—
63#16838009—21no—
64#16837982—21no—
65#16837982C2211yescharacteristic
66#16837975C2211yescharacteristic, complemented
67#16837970—21no—
68#16837970C2211yescharacteristic
69#16837956—21no—
70#16837935—21no—
71#16837911—21no—
72#16837911C2211yescharacteristic
73C22⋊Q8×D59C2211yescharacteristic, complemented
74#121×D59—21no—
75#121×D59C2211yescharacteristic
76#16837884C2211yescharacteristic
77#16837882C2211yescharacteristic, complemented
78#16837878C2211yescharacteristic, complemented
79#117×D59C2211yescharacteristic, complemented
80#16837767C2211yescharacteristic, complemented
81#16837765C2211yescharacteristic, complemented
82#16837763C2211yescharacteristic, complemented
83#16837758C2211yescharacteristic, complemented
84#16837756C2211yescharacteristic, complemented
85#16837750C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837742C2211yescharacteristic, complemented
88#16837736C2211yescharacteristic, complemented
89#16837735C2211yescharacteristic, complemented
90#16837728C2211yescharacteristic, complemented
91#16837727C2211yescharacteristic, complemented
92#16837726C2211yescharacteristic, complemented
93#16837726C2211yescharacteristic, complemented
94#16837723C2211yescharacteristic, complemented
95#16837722C2211yescharacteristic, complemented
96#16837719C2211yescharacteristic, complemented
97#16837717C2211yescharacteristic, complemented
98#16837717C2211yescharacteristic, complemented
99#16837716C2211yescharacteristic, complemented
100#16837714C2211yescharacteristic, complemented
101#16837709C2211yescharacteristic, complemented
102#16837707C2211yescharacteristic, complemented
103#16837705C2211yescharacteristic, complemented
104#16837703C2211yescharacteristic, complemented
105#16837695C2211yescharacteristic, complemented
106#16837681C2211yescharacteristic, complemented
107#16837679C2211yescharacteristic, complemented
108#16837658C2211yescharacteristic, complemented
109#16837657C2211yescharacteristic, complemented
110#16837651C2211yescharacteristic, complemented
111#16837650C2211yescharacteristic, complemented
112#16837650C2211yescharacteristic, complemented
113#16837649C2211yescharacteristic, complemented
114#16837649C2211yescharacteristic, complemented
115#16837648C2211yescharacteristic, complemented
116#16837647C2211yescharacteristic, complemented
117#16837646C2211yescharacteristic, complemented
118#16837645C2211yescharacteristic, complemented
119#16837642C2211yescharacteristic, complemented
120#16837634C2211yescharacteristic, complemented
121#16837631C2211yescharacteristic, complemented
122#16837627C2211yescharacteristic, complemented
123#16837626C2211yescharacteristic, complemented
124#16837621C2211yescharacteristic, complemented
125#16837603C2211yescharacteristic, complemented
126#16837602C2211yescharacteristic, complemented
127#16837601C2211yescharacteristic, complemented
128#16837600C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837567C2211yescharacteristic, complemented
131#16837567C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837563C2211yescharacteristic, complemented
134#16837563C2211yescharacteristic, complemented
135#16837563C2211yescharacteristic, complemented
136#16837558C2211yescharacteristic, complemented
137#16837555C2211yescharacteristic, complemented
138#16837555C2211yescharacteristic, complemented
139#16837554C2211yescharacteristic, complemented
140#16837552C2211yescharacteristic, complemented
141#16837552C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837506C2211yescharacteristic, complemented
144#16837505C2211yescharacteristic, complemented
145#16837504C2211yescharacteristic, complemented
146Q16×Dic59C2211yescharacteristic, complemented
147C4×#11745672C2211yescharacteristic, complemented
148C4×#11745671C2211yescharacteristic, complemented
149#16837489C2211yescharacteristic, complemented
150#16837480C2211yescharacteristic, complemented
151#16837479C2211yescharacteristic, complemented
152#16837477C2211yescharacteristic, complemented
153#16837477C2211yescharacteristic, complemented
154#16837475C2211yescharacteristic, complemented
155#16837473C2211yescharacteristic, complemented
156#16837471C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837441C2211yescharacteristic, complemented
159#107×D59C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837411C2211yescharacteristic, complemented
162#16837408C2211yescharacteristic, complemented
163#16837406C2211yescharacteristic, complemented
164#16837406C2211yescharacteristic, complemented
165#16837405C2211yescharacteristic, complemented
166#16837405C2211yescharacteristic, complemented
167#16837405C2211yescharacteristic, complemented
168#16837403C2211yescharacteristic, complemented
169#16837402C2211yescharacteristic
170#16837402C2211yescharacteristic, complemented
171#16837402C2211yescharacteristic, complemented
172#16837402C2211yescharacteristic, complemented
173#16837402C2211yescharacteristic, complemented
174#16837402C2211yescharacteristic, complemented
175#16837402C2211yescharacteristic, complemented
176#16837397C2211yescharacteristic
177#16837397C2211yescharacteristic
178#16837397C2211yescharacteristic, complemented
179#16837397C2211yescharacteristic, complemented
180#16837397C2211yescharacteristic, complemented
181#103×D59C2211yescharacteristic, complemented
182C2×#14273649C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187#16837359C2211yescharacteristic, complemented
188C59×#556C2211yescharacteristic, complemented
189C59×#548C2211yescharacteristic
190C59×#489C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#477C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#467C2211yescharacteristic, complemented
196C59×#464C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#451C2211yescharacteristic, complemented
199C59×#441C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#419C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203#14273773—24no—
204#14273773—42no—
205C2×#11745689—21no—
206C2×#11745689—21no—
207C2×#11745689—24no—
208C2×#11745689—42no—
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745689C2311yescharacteristic
212C2×#11745689C2311yescharacteristic
213C2×#11745689C2311yescharacteristic
214C2×#11745685—21no—
215C2×#11745685C2311yescharacteristic
216C2×Q8×D59C2311yescharacteristic
217C22×D236—21no—
218C22×D236—21no—
219C22×D236C2311yescharacteristic
220C22×D236C2311yescharacteristic
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C22×C4×D59—21no—
229C22×C4×D59C2311yescharacteristic
230#14273759—24no—
231#14273759—42no—
232C2×#11745672C2311yescharacteristic
233C2×#11745672C2311yescharacteristic
234C2×#11745660C2311yescharacteristic
235C2×#11745660C2311yescharacteristic
236C2×#11745660C2311yescharacteristic
237C2×#11745670C2311yescharacteristic
238C2×#11745671C2311yescharacteristic
239C2×#11745671C2311yescharacteristic
240C2×#11745671C2311yescharacteristic
241SD16×D59—42no—
242#14273733—42no—
243C2×#11745664C2311yescharacteristic
244C2×#11745664C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C2×#11745659C2311yescharacteristic
250M16×D59—42no—
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254#14273726—21no—
255#14273726C2311yescharacteristic
256#14273725—21no—
257#14273724—21no—
258#14273724C2311yescharacteristic
259#14273723—21no—
260#14273723C2311yescharacteristic
261#14273721—21no—
262#14273721—21no—
263#14273720—21no—
264#14273720—21no—
265#14273720—21no—
266#14273720—21no—
267#14273719—21no—
268#14273719C2311yescharacteristic
269#14273718—21no—
270#14273718C2311yescharacteristic
271#14273717—21no—
272#14273717—21no—
273#14273717—21no—
274#14273717—21no—
275#14273717—21no—
276#14273716—21no—
277#14273716C2311yescharacteristic
278#14273713—21no—
279#14273713—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712D411yescharacteristic
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709D411yescharacteristic
289#14273708—21no—
290#14273707—21no—
291#14273707C2311yescharacteristic
292#14273707C2311yescharacteristic
293#14273706C2311yescharacteristic
294#14273706C2311yescharacteristic
295#14273705—21no—
296#14273705—21no—
297#14273705—21no—
298#14273705D411yescharacteristic
299#14273704—21no—
300#14273704—21no—
301#14273704D411yescharacteristic
302#14273703—21no—
303#14273703—21no—
304#14273703—21no—
305#14273703—21no—
306#14273703C2311yescharacteristic
307#14273703C2311yescharacteristic
308#14273703C2311yescharacteristic
309#14273702—21no—
310#14273702—21no—
311#14273702—21no—
312#14273702—21no—
313#14273702—21no—
314#14273702C2311yescharacteristic
315#14273702C2311yescharacteristic
316#14273701—21no—
317#14273701—21no—
318#14273701C2311yescharacteristic
319#14273701C2311yescharacteristic
320#14273700—21no—
321#14273700—21no—
322#14273700—21no—
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273700D411yescharacteristic
328#14273699—21no—
329#14273699D411yescharacteristic
330#14273698—21no—
331#14273698C2311yescharacteristic
332#14273697—21no—
333#14273697—21no—
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273697—21no—
338#14273697—21no—
339#14273697D411yescharacteristic
340#14273695—21no—
341#14273695D411yescharacteristic
342Q8×Dic59C2311yescharacteristic
343Q8×Dic59C2311yescharacteristic
344C4×Dic118—21no—
345C4×Dic118—21no—
346C4×Dic118—21no—
347C4×Dic118C2311yescharacteristic
348#14273692—21no—
349#14273692C2311yescharacteristic
350C4×D236—21no—
351C4×D236—21no—
352C4×D236—21no—
353C4×D236C2311yescharacteristic
354C4×D236C2311yescharacteristic
355#14273689—21no—
356#14273689—21no—
357#14273689C2311yescharacteristic
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59C2311yescharacteristic
361C4×C22⋊D59C2311yescharacteristic
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365#14273686C2311yescharacteristic
366#14273685—21no—
367#14273685—21no—
368#14273685C2311yescharacteristic
369#14273685C2311yescharacteristic
370#14273685C2311yescharacteristic
371#14273684—21no—
372#14273684—21no—
373#14273684—21no—
374#14273684—21no—
375#14273684—21no—
376#14273684C2311yescharacteristic
377#14273683—21no—
378#14273683—21no—
379C2×C4⋊Dic59C2311yescharacteristic
380C4⋊C4×D59—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59C2311yescharacteristic
383C4⋊C4×D59C2311yescharacteristic
384C4⋊C4×D59C2311yescharacteristic
385C4⋊C4×D59C2311yescharacteristic
386C4⋊C4×D59C2311yescharacteristic
387C22⋊C4×D59—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#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
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#14273637C2311yescharacteristic
442C4×C59⋊C8C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C2×#41×C59C2311yescharacteristic
445C22×Q8×C59C2311yescharacteristic
446C2×Q16×C59C2311yescharacteristic
447C2×Q16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C22×C8×C59C2311yescharacteristic
451C4⋊Q8×C59C2311yescharacteristic
452#126×C59—21no—
453#126×C59—21no—
454#124×C59—21no—
455#124×C59—21no—
456#124×C59C2311yescharacteristic
457C22⋊Q8×C59—21no—
458C22⋊Q8×C59C2311yescharacteristic
459C22⋊Q8×C59C2311yescharacteristic
460C22⋊Q8×C59C2311yescharacteristic
461#121×C59—21no—
462#121×C59C2311yescharacteristic
463C4×Q8×C59—21no—
464C4×Q8×C59C2311yescharacteristic
465C4×Q8×C59C2311yescharacteristic
466C4×D4×C59—21no—
467C4×D4×C59C2311yescharacteristic
468#117×C59C2311yescharacteristic
469#117×C59C2311yescharacteristic
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
486#97×C59C2311yescharacteristic
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59—21no—
491C23×D59C2×D411yescharacteristic
492#41×C59—22no—
493#41×C59—41no—
494C2×Q8×C59—21no—
495C2×Q8×C59—21no—
496C2×Q8×C59—22no—
497C2×Q8×C59—41no—
498C2×Q8×C59C2411yescharacteristic
499C2×Q8×C59C2411yescharacteristic
500C2×Q8×C59C2411yescharacteristic
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59C2×D411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59C2411yescharacteristic
508C22×C4×C59C2411yescharacteristic
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⋊D59—21no—
516C2×C22⋊D59C2×D411yescharacteristic
517C2×C22⋊D59C2×D411yescharacteristic
518C2×C22⋊D59C2×D411yescharacteristic
519C2×C22⋊D59C2×D411yescharacteristic
520C22×Dic59—21no—
521C22×Dic59C2×D411yescharacteristic
522#11745689—22no—
523#11745689—22no—
524#11745689—22no—
525#11745689—22no—
526#11745689—22no—
527#11745689—22no—
528#11745689—44no—
529#11745689—41no—
530#11745689—41no—
531#11745689—41no—
532#11745689—44no—
533#11745689#4114yes—
534Q8×D59—22no—
535Q8×D59—22no—
536D4×D59—22no—
537D4×D59—22no—
538D4×D59—22no—
539D4×D59—41no—
540D4×D59—44no—
541D4×D59—44no—
542D4×D59—82no—
543D4×D59—82no—
544D4×D59—82no—
545#11745685—22no—
546#11745685—22no—
547#11745685—44no—
548C2×D236—21no—
549C2×D236—22no—
550C2×D236—22no—
551C2×D236—21no—
552C2×D236—21no—
553C2×D236—21no—
554C2×D236—21no—
555C2×D236—21no—
556C2×D236—21no—
557C2×D236—21no—
558C2×D236—21no—
559C2×D236—21no—
560C2×D236—21no—
561C2×D236—41no—
562C2×D236—41no—
563C2×D236—44no—
564C2×D236—44no—
565C2×D236C2×D411yescharacteristic
566C2×D236C2×D411yescharacteristic
567C2×D236C2411yescharacteristic
568C2×D236C2411yescharacteristic
569C2×D236C2411yescharacteristic
570C2×C4×D59—21no—
571C2×C4×D59—22no—
572C2×C4×D59—22no—
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—21no—
581C2×C4×D59—21no—
582C2×C4×D59—21no—
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—44no—
586C2×C4×D59C2×D411yescharacteristic
587C2×C4×D59C2×D411yescharacteristic
588C2×C4×D59C2411yescharacteristic
589C2×C4×D59C2411yescharacteristic
590C2×C4×D59C2411yescharacteristic
591C2×Dic118—21no—
592C2×Dic118—21no—
593C2×Dic118C2×D411yescharacteristic
594C2×Dic118C2411yescharacteristic
595Q16×C59—22no—
596Q16×C59—41no—
597SD16×C59—41no—
598M16×C59—41no—
599C2×C8×C59—41no—
600C2×C8×C59C2411yescharacteristic
601C2×C8×C59C2411yescharacteristic
602C2×C8×C59C2411yescharacteristic
603C2×C8×C59C2411yescharacteristic
604C4⋊C4×C59—21no—
605C4⋊C4×C59—21no—
606C4⋊C4×C59—21no—
607C4⋊C4×C59—21no—
608C4⋊C4×C59—21no—
609C4⋊C4×C59—21no—
610C4⋊C4×C59C2×D411yescharacteristic
611C4⋊C4×C59C2411yescharacteristic
612C4⋊C4×C59C2411yescharacteristic
613C4⋊C4×C59C2411yescharacteristic
614C4⋊C4×C59C2411yescharacteristic
615C22⋊C4×C59—21no—
616C22⋊C4×C59—21no—
617C22⋊C4×C59—21no—
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59C2×D411yescharacteristic
624C22⋊C4×C59C2×D411yescharacteristic
625C42×C59—21no—
626C42×C59—21no—
627C42×C59—21no—
628C42×C59—21no—
629C42×C59C2411yescharacteristic
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59C2×D411yescharacteristic
635C22⋊Dic59C2×D411yescharacteristic
636#11745672—22no—
637#11745672—41no—
638#11745671—22no—
639#11745671—41no—
640#11745671—41no—
641#11745670—41no—
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)⋊C4C2×D411yescharacteristic
659(C2×D59)⋊C4C2×D411yescharacteristic
660(C2×D59)⋊C4C2×D411yescharacteristic
661(C2×D59)⋊C4C2×D411yescharacteristic
662(C2×D59)⋊C4C2×D411yescharacteristic
663(C2×D59)⋊C4C2×D411yescharacteristic
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
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⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4C2×D411yescharacteristic
692Dic59⋊C4C2×D411yescharacteristic
693Dic59⋊C4C2×D411yescharacteristic
694Dic59⋊C4C2×D411yescharacteristic
695C4×Dic59—21no—
696C4×Dic59—21no—
697C4×Dic59—21no—
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59C2411yescharacteristic
704#11745664—41no—
705#11745664—41no—
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C2×C59⋊C8C2411yescharacteristic
710#11745660—22no—
711#11745660—41no—
712#11745660—41no—
713#11745659—22no—
714#11745659—22no—
715#11745659—41no—
716#11745659—41no—
717#11745659—41no—
718C8×D59—22no—
719C8×D59—22no—
720C8×D59—41no—
721C23×C59—21no—
722C23×C59C22×D411yescharacteristic
723C23×C59C22×D411yescharacteristic
724C22×D59—21no—
725C22×D59—22no—
726C22×D59—21no—
727C22×D59—21no—
728C22×D59—41no—
729C22×D59—41no—
730C22×D59—42no—
731C22×D59—42no—
732C22×D59—42no—
733C22×D59—42no—
734C22×D59—42no—
735C22×D59—81no—
736C22×D59—81no—
737C22×D59—81no—
738C22×D59—81no—
739C22×D59—81no—
740C22×D59—81no—
741C22×D59—81no—
742C22×D59C22×D411yescharacteristic
743C22×D59C22×D411yescharacteristic
744C22×D59C22×D411yescharacteristic
745Q8×C59—21no—
746Q8×C59—21no—
747Q8×C59—21no—
748Q8×C59—21no—
749Q8×C59—21no—
750Q8×C59—42no—
751Q8×C59—81no—
752Q8×C59C2×#4112yes—
753D4×C59—21no—
754D4×C59—21no—
755D4×C59—41no—
756D4×C59—42no—
757D4×C59—42no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—42no—
770C2×C4×C59—42no—
771C2×C4×C59C22×D411yescharacteristic
772C2×C4×C59C22×D411yescharacteristic
773C2×C4×C59C22×D411yescharacteristic
774C2×C4×C59C22×D411yescharacteristic
775C2×C4×C59C2511yescharacteristic
776C22⋊D59—22no—
777C22⋊D59—22no—
778C22⋊D59—41no—
779C22⋊D59—41no—
780C22⋊D59—42no—
781C22⋊D59—42no—
782C22⋊D59—42no—
783C22⋊D59—81no—
784C22⋊D59—81no—
785C22⋊D59—81no—
786C22⋊D59—81no—
787C2×Dic59—22no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—81no—
794C2×Dic59C22×D411yescharacteristic
795C2×Dic59C22×D411yescharacteristic
796C2×Dic59C22×D411yescharacteristic
797C2×Dic59C22×D411yescharacteristic
798C2×Dic59C22×D411yescharacteristic
799D236—24no—
800D236—22no—
801D236—21no—
802D236—21no—
803D236—21no—
804D236—21no—
805D236—21no—
806D236—41no—
807D236—42no—
808D236—42no—
809D236—42no—
810D236—42no—
811D236—42no—
812D236—42no—
813D236—81no—
814D236—81no—
815D236—81no—
816D236—81no—
817D236C2×#4112yes—
818C4×D59—22no—
819C4×D59—21no—
820C4×D59—21no—
821C4×D59—21no—
822C4×D59—21no—
823C4×D59—22no—
824C4×D59—24no—
825C4×D59—42no—
826C4×D59—42no—
827C4×D59—42no—
828C4×D59—42no—
829C4×D59—42no—
830C4×D59—42no—
831C4×D59—81no—
832C4×D59—81no—
833C4×D59—81no—
834C4×D59—81no—
835C4×D59—81no—
836C4×D59—81no—
837C4×D59C2×#4112yes—
838C4×D59H(5,𝔽2)12yes—
839Dic118—22no—
840Dic118—21no—
841Dic118—21no—
842Dic118—42no—
843Dic118—81no—
844C8×C59—21no—
845C8×C59—21no—
846C8×C59—21no—
847C8×C59—21no—
848C59⋊C8—21no—
849C59⋊C8—21no—
850C59⋊C8—21no—
851C59⋊C8—21no—
852#61180—591nomaximal, Sylow
853C22×C59—21no—
854C22×C59—21no—
855C22×C59—21no—
856C22×C59—21no—
857C22×C59—21no—
858C22×C59—21no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59C23×D411yescharacteristic
863C2×D59—21no—
864C2×D59—21no—
865C2×D59—21no—
866C2×D59—21no—
867C2×D59—21no—
868C2×D59—21no—
869C2×D59—21no—
870C2×D59—22no—
871C2×D59—21no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—41no—
875C2×D59—41no—
876C2×D59—41no—
877C2×D59—41no—
878C2×D59—41no—
879C2×D59—41no—
880C2×D59—82no—
881C2×D59—84no—
882C2×D59—162no—
883C2×D59—162no—
884C2×D59—162no—
885C2×D59#54612yes—
886C4×C59—21no—
887C4×C59—21no—
888C4×C59—21no—
889C4×C59—21no—
890C4×C59—22no—
891C4×C59—41no—
892C4×C59—41no—
893C4×C59—41no—
894C4×C59—41no—
895C4×C59—41no—
896C4×C59—41no—
897C4×C59C22×#4111yescharacteristic
898C4×C59C2×H(5,𝔽2)11yescharacteristic
899Dic59—21no—
900Dic59—21no—
901Dic59—21no—
902Dic59—21no—
903Dic59—41no—
904Dic59—41no—
905Dic59—41no—
906Dic59—41no—
907Dic59—41no—
908Dic59#54612yes—
909#3495—591no—
910#3488—591no—
911#3333—591no—
912#3333—591no—
913#3327—591no—
914#3327—591no—
915#3324—591no—
916#3324—591no—
917#3323—591no—
918#3323—591no—
919#3317—591no—
920#3317—591no—
921#3314—591no—
922#3314—591no—
923#3313—591no—
924#3313D5911yescharacteristic, complemented
925#3310—591no—
926#3310—591no—
927#3136—591no—
928#3098—591no—
929#3094—591no—
930#3083—591no—
931#3063—591no—
932C2×#468—591no—
933#3043—591no—
934#3009—591no—
935#3007—591no—
936#2947—591no—
937#2930—591no—
938#2897—591no—
939#2896—591no—
940C2×C59—41no—
941C2×C59—41no—
942C2×C59—81no—
943C2×C59C2×#54611yescharacteristic
944C2×C59#358511yescharacteristic
945C2×C59#358611yescharacteristic
946D59—22no—
947D59—41no—
948D59—41no—
949D59—42no—
950D59—81no—
951D59—81no—
952C2×H(5,𝔽2)—591no—
953C22×#41—591no—
954C2×#137—591no—
955C2×#137—591no—
956C22×SD16—591no—
957C2×#131—591no—
958C22×M16—591no—
959#556—591no—
960#556C2×D5911yescharacteristic, complemented
961#554—591no—
962#554—591no—
963#552—591no—
964#552—591no—
965#552—591no—
966#552—591no—
967#552—1181no—
968#552—1181no—
969#551—1181no—
970#551—1181no—
971#550—591no—
972#550—591no—
973#548—591no—
974#548C2×D5911yescharacteristic
975#546—591no—
976#546—591no—
977#546—1181no—
978#546—1181no—
979D42—591no—
980D42—591no—
981D42—1181no—
982D42—1181no—
983#544—591no—
984#542—1181no—
985#541—1181no—
986#537—591no—
987#537—1181no—
988#536—591no—
989#535—591no—
990#535—1181no—
991#533—1181no—
992#529—1181no—
993#525—591no—
994#525—1181no—
995C2×C22⋊Q8—591no—
996C2×#121—591no—
997C2×#121—1181no—
998#520—591no—
999#520—591no—
1000#519—591no—
1001C2×#117—591no—
1002#490—591no—
1003#490—591no—
1004#489—591no—
1005#489C2×D5911yescharacteristic, complemented
1006#488—591no—
1007#488—591no—
1008#486—591no—
1009#486—591no—
1010#485—591no—
1011#485C2×D5911yescharacteristic, complemented
1012#484—591no—
1013#484—591no—
1014#482—591no—
1015#482—591no—
1016#482—591no—
1017#482—591no—
1018#482—591no—
1019#482C2×D5911yescharacteristic, complemented
1020#481—591no—
1021#481—591no—
1022#480—591no—
1023#480—591no—
1024#480—591no—
1025#480—591no—
1026#479—591no—
1027#479—591no—
1028#478—591no—
1029#478—591no—
1030#477—591no—
1031#477C2×D5911yescharacteristic, complemented
1032#474—591no—
1033#474—591no—
1034#470—591no—
1035#470—591no—
1036#468—591no—
1037#468—591no—
1038#468—591no—
1039#468—591no—
1040#468—591no—
1041#468—591no—
1042#468—591no—
1043#468—591no—
1044#468—591no—
1045#468C2×D5911yescharacteristic, complemented
1046#467—591no—
1047#467C2×D5911yescharacteristic, complemented
1048#465—591no—
1049#465—591no—
1050#464—591no—
1051#464—591no—
1052#464—591no—
1053#464C2×D5911yescharacteristic, complemented
1054#460—591no—
1055#460—591no—
1056#460—591no—
1057#460—591no—
1058#452—591no—
1059#452—591no—
1060#452—591no—
1061#452—591no—
1062#452—591no—
1063#452—591no—
1064#452—591no—
1065#452C2×D5911yescharacteristic, complemented
1066#451—591no—
1067#451C2×D5911yescharacteristic, complemented
1068#450—591no—
1069#450—591no—
1070#450—591no—
1071#450—591no—
1072#450—591no—
1073#450—591no—
1074#441—591no—
1075#441C2×D5911yescharacteristic, complemented
1076#440—591no—
1077#440—591no—
1078C4×Q16—591no—
1079C4×Q16—591no—
1080C4×SD16—591no—
1081C4×SD16—591no—
1082#436—591no—
1083#436—591no—
1084#436—591no—
1085#436—591no—
1086#435—591no—
1087#435—591no—
1088#435—591no—
1089#435C2×D5911yescharacteristic, complemented
1090#428—591no—
1091#428—591no—
1092C2×#107—591no—
1093#424—591no—
1094#419—591no—
1095#419C2×D5911yescharacteristic, complemented
1096#418—591no—
1097#418—591no—
1098#418—591no—
1099#418—591no—
1100#418—591no—
1101#418—591no—
1102#417—591no—
1103#417—591no—
1104#417—591no—
1105#417—591no—
1106#417—591no—
1107#417—591no—
1108#417—591no—
1109#417—591no—
1110#416—591no—
1111#416—591no—
1112#416—591no—
1113#416—591no—
1114#416—591no—
1115#416C2×D5911yescharacteristic, complemented
1116C2×#103—591no—
1117C2×#102—591no—
1118C2×#102—591no—
1119C2×#102—591no—
1120#408—591no—
1121#407—591no—
1122#405—591no—
1123C59#6118011yescharacteristic, complemented, Sylow
1124H(5,𝔽2)—1184no—
1125H(5,𝔽2)—2362no—
1126C2×#41—591no—
1127C2×#41—591no—
1128C2×#41—591no—
1129C2×#41—591no—
1130C2×#41—591no—
1131C2×#41—591no—
1132C2×#41—1181no—
1133C2×#41—1181no—
1134C2×#41—1181no—
1135C2×#41—1184no—
1136C2×#41—2362no—
1137C2×#41C22×D5911yescharacteristic
1138C22×Q8—591no—
1139C22×Q8C22×D5911yescharacteristic
1140C22×D4—591no—
1141C22×D4—591no—
1142C22×D4—591no—
1143C22×D4—591no—
1144C22×D4—1181no—
1145C22×D4—1181no—
1146C22×D4—1181no—
1147C22×D4—1181no—
1148C22×D4—1181no—
1149C22×D4—1181no—
1150C22×D4—1181no—
1151C23×C4—591no—
1152C23×C4—1181no—
1153#137—1184no—
1154#137—2362no—
1155C2×Q16—591no—
1156C2×Q16—591no—
1157C2×Q16C22×D5911yescharacteristic
1158C2×Q16C22×D5911yescharacteristic
1159C2×SD16—591no—
1160C2×SD16—591no—
1161C2×SD16—591no—
1162C2×SD16—591no—
1163C2×SD16—591no—
1164C2×SD16—591no—
1165C2×SD16—591no—
1166C2×SD16—2362no—
1167C2×SD16C22×D5911yescharacteristic
1168#131—2362no—
1169C2×M16—591no—
1170C2×M16—591no—
1171C2×M16—591no—
1172C2×M16—591no—
1173C2×M16—591no—
1174C2×M16—591no—
1175C2×M16—591no—
1176C2×M16—2362no—
1177C2×M16C22×D5911yescharacteristic
1178C22×C8—591no—
1179C22×C8—591no—
1180C22×C8—591no—
1181C22×C8C22×D5911yescharacteristic
1182C4⋊Q8—591no—
1183C4⋊Q8—1181no—
1184C4⋊Q8—1181no—
1185C4⋊Q8C22×D5911yescharacteristic
1186#127—591no—
1187#127—591no—
1188#127—1181no—
1189#127—1181no—
1190#126—21no—
1191#126—21no—
1192#126—1181no—
1193#126—1181no—
1194#126—1181no—
1195#126—1181no—
1196#126—1181no—
1197#126—1181no—
1198#125—591no—
1199#125—591no—
1200#125—1181no—
1201#125—1181no—
1202#125—1181no—
1203#125—1181no—
1204#125—1181no—
1205#125—1181no—
1206#125—1181no—
1207#124—21no—
1208#124—21no—
1209#124—591no—
1210#124—1181no—
1211#124—1181no—
1212#124—1181no—
1213#124C22×D5911yescharacteristic
1214#123—591no—
1215#123—591no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224C22⋊Q8—21no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—591no—
1229C22⋊Q8—591no—
1230C22⋊Q8—591no—
1231C22⋊Q8—591no—
1232C22⋊Q8—591no—
1233C22⋊Q8—591no—
1234C22⋊Q8—1181no—
1235C22⋊Q8—1181no—
1236C22⋊Q8—1181no—
1237C22⋊Q8—1181no—
1238C22⋊Q8—1181no—
1239C22⋊Q8—1181no—
1240C22⋊Q8—1181no—
1241C22⋊Q8—1181no—
1242C22⋊Q8—1181no—
1243C22⋊Q8—1181no—
1244C22⋊Q8C22×D5911yescharacteristic
1245C22⋊Q8C22×D5911yescharacteristic
1246C22⋊Q8C22×D5911yescharacteristic
1247#121—21no—
1248#121—591no—
1249#121—591no—
1250#121—591no—
1251#121—591no—
1252#121—591no—
1253#121—591no—
1254#121—591no—
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#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121—1181no—
1271#121C22×D5911yescharacteristic
1272#120—591no—
1273#120—591no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279#120—1181no—
1280#120—1181no—
1281#120—1181no—
1282C4×Q8—21no—
1283C4×Q8—591no—
1284C4×Q8—591no—
1285C4×Q8—591no—
1286C4×Q8—591no—
1287C4×Q8—1181no—
1288C4×Q8—1181no—
1289C4×Q8—1181no—
1290C4×Q8—1181no—
1291C4×Q8C22×D5911yescharacteristic
1292C4×Q8C22×D5911yescharacteristic
1293C4×D4—21no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4C22×D5911yescharacteristic
1310#117—591no—
1311#117—591no—
1312#117—591no—
1313#117—591no—
1314#117—591no—
1315#117—1181no—
1316#117—1181no—
1317#117—1181no—
1318#117—1181no—
1319#117—1181no—
1320#117—1181no—
1321#117—1181no—
1322#117—1181no—
1323#117—1181no—
1324#117C22×D5911yescharacteristic
1325#117C22×D5911yescharacteristic
1326C2×C4⋊C4—591no—
1327C2×C4⋊C4—591no—
1328C2×C4⋊C4—591no—
1329C2×C4⋊C4—591no—
1330C2×C4⋊C4—591no—
1331C2×C4⋊C4—591no—
1332C2×C4⋊C4—1181no—
1333C2×C4⋊C4—1181no—
1334C2×C22⋊C4—1181no—
1335C2×C22⋊C4—1181no—
1336C2×C22⋊C4—1181no—
1337C2×C22⋊C4—1181no—
1338C2×C22⋊C4—1181no—
1339C2×C42—1181no—
1340#107—591no—
1341#107—591no—
1342#107—591no—
1343#107—591no—
1344#107—591no—
1345#107—591no—
1346#107C22×D5911yescharacteristic
1347#107C22×D5911yescharacteristic
1348#106—591no—
1349#106—591no—
1350#106—591no—
1351#106C22×D5911yescharacteristic
1352C4⋊C8—591no—
1353C4⋊C8—591no—
1354C4⋊C8—591no—
1355C4⋊C8C22×D5911yescharacteristic
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103—591no—
1360#103—591no—
1361#103—591no—
1362#103—591no—
1363#103—591no—
1364#103—591no—
1365#103C22×D5911yescharacteristic
1366#103C22×D5911yescharacteristic
1367#103C22×D5911yescharacteristic
1368#103C22×D5911yescharacteristic
1369#103C22×D5911yescharacteristic
1370#103C22×D5911yescharacteristic
1371#103C22×D5911yescharacteristic
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#102—591no—
1386#102—591no—
1387#102—591no—
1388#102—591no—
1389#102—591no—
1390#102—591no—
1391#102—591no—
1392#102—591no—
1393#102C22×D5911yescharacteristic
1394#102C22×D5911yescharacteristic
1395#102C22×D5911yescharacteristic
1396C22⋊C8—591no—
1397C22⋊C8—591no—
1398C22⋊C8—591no—
1399C22⋊C8—591no—
1400C22⋊C8—591no—
1401C22⋊C8—591no—
1402C22⋊C8C22×D5911yescharacteristic
1403C22⋊C8C22×D5911yescharacteristic
1404#97—591no—
1405#97C22×D5911yescharacteristic
1406C4×C8—591no—
1407C4×C8—591no—
1408C24—591no—
1409C24—1181no—
1410C24—1181no—
1411C24—1181no—
1412C24—1181no—
1413#41—22no—
1414#41—41no—
1415#41—594no—
1416#41—1182no—
1417#41—1182no—
1418#41—1182no—
1419#41—1182no—
1420#41—1182no—
1421#41—1182no—
1422#41—1182no—
1423#41—1182no—
1424#41—2364no—
1425#41—2364no—
1426#41—2361no—
1427#41—2361no—
1428#41—2361no—
1429#41—2364no—
1430C2×Q8—21no—
1431C2×Q8—21no—
1432C2×Q8—22no—
1433C2×Q8—41no—
1434C2×Q8—591no—
1435C2×Q8—591no—
1436C2×Q8—1181no—
1437C2×Q8—1181no—
1438C2×Q8—1182no—
1439C2×Q8—1182no—
1440C2×Q8C23×D5911yescharacteristic
1441C2×Q8C23×D5911yescharacteristic
1442C2×Q8C23×D5911yescharacteristic
1443C2×D4—21no—
1444C2×D4—21no—
1445C2×D4—591no—
1446C2×D4—591no—
1447C2×D4—591no—
1448C2×D4—591no—
1449C2×D4—591no—
1450C2×D4—591no—
1451C2×D4—591no—
1452C2×D4—591no—
1453C2×D4—591no—
1454C2×D4—1182no—
1455C2×D4—1182no—
1456C2×D4—1181no—
1457C2×D4—1181no—
1458C2×D4—1181no—
1459C2×D4—1181no—
1460C2×D4—1181no—
1461C2×D4—1181no—
1462C2×D4—1181no—
1463C2×D4—1182no—
1464C2×D4—1182no—
1465C2×D4—1181no—
1466C2×D4—1181no—
1467C2×D4—1181no—
1468C2×D4—1181no—
1469C2×D4—1182no—
1470C2×D4—1181no—
1471C2×D4—1181no—
1472C2×D4—1181no—
1473C2×D4—1181no—
1474C2×D4—1181no—
1475C2×D4—1181no—
1476C2×D4—1181no—
1477C2×D4—4722no—
1478C2×D4—4722no—
1479C2×D4—4722no—
1480C2×D4—2361no—
1481C2×D4—2361no—
1482C2×D4—2364no—
1483C2×D4—2364no—
1484C2×D4—2361no—
1485C2×D4—2364no—
1486C2×D4—2364no—
1487C2×D4D4×D5911yescharacteristic
1488C2×D4C23×D5911yescharacteristic
1489C22×C4—21no—
1490C22×C4—21no—
1491C22×C4—591no—
1492C22×C4—591no—
1493C22×C4—591no—
1494C22×C4—591no—
1495C22×C4—591no—
1496C22×C4—591no—
1497C22×C4—1181no—
1498C22×C4—1182no—
1499C22×C4—1182no—
1500C22×C4—1181no—
1501C22×C4—1181no—
1502C22×C4—1181no—
1503C22×C4—1181no—
1504C22×C4—1181no—
1505C22×C4—1181no—
1506C22×C4—1181no—
1507C22×C4—1181no—
1508C22×C4—1181no—
1509C22×C4—1181no—
1510C22×C4—1181no—
1511C22×C4—1181no—
1512C22×C4—1181no—
1513C22×C4—2364no—
1514C22×C4C23×D5911yescharacteristic
1515C22×C4C23×D5911yescharacteristic
1516Q16—22no—
1517Q16—41no—
1518Q16—1182no—
1519Q16—2361no—
1520SD16—41no—
1521SD16—1182no—
1522SD16—1182no—
1523SD16—2361no—
1524SD16—2361no—
1525SD16—2361no—
1526SD16—2361no—
1527SD16—2361no—
1528M16—41no—
1529M16—1182no—
1530M16—1182no—
1531M16—2361no—
1532M16—2361no—
1533M16—2361no—
1534M16—2361no—
1535M16—2361no—
1536C2×C8—41no—
1537C2×C8—591no—
1538C2×C8—591no—
1539C2×C8—591no—
1540C2×C8—591no—
1541C2×C8—1182no—
1542C2×C8—1182no—
1543C2×C8—2361no—
1544C2×C8C23×D5911yescharacteristic
1545C2×C8C23×D5911yescharacteristic
1546C2×C8C23×D5911yescharacteristic
1547C2×C8C23×D5911yescharacteristic
1548C4⋊C4—21no—
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—591no—
1555C4⋊C4—591no—
1556C4⋊C4—591no—
1557C4⋊C4—591no—
1558C4⋊C4—591no—
1559C4⋊C4—591no—
1560C4⋊C4—591no—
1561C4⋊C4—591no—
1562C4⋊C4—591no—
1563C4⋊C4—1181no—
1564C4⋊C4—1181no—
1565C4⋊C4—1181no—
1566C4⋊C4—1181no—
1567C4⋊C4—1181no—
1568C4⋊C4—1181no—
1569C4⋊C4—1181no—
1570C4⋊C4—1181no—
1571C4⋊C4—1181no—
1572C4⋊C4—1181no—
1573C4⋊C4—1181no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4—1181no—
1579C4⋊C4—1181no—
1580C4⋊C4—1181no—
1581C4⋊C4—1181no—
1582C4⋊C4—1181no—
1583C4⋊C4—1181no—
1584C4⋊C4—1181no—
1585C4⋊C4D4×D5911yescharacteristic
1586C4⋊C4C23×D5911yescharacteristic
1587C4⋊C4C23×D5911yescharacteristic
1588C4⋊C4C23×D5911yescharacteristic
1589C4⋊C4C23×D5911yescharacteristic
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—591no—
1599C22⋊C4—591no—
1600C22⋊C4—591no—
1601C22⋊C4—591no—
1602C22⋊C4—591no—
1603C22⋊C4—591no—
1604C22⋊C4—591no—
1605C22⋊C4—591no—
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⋊C4—1181no—
1618C22⋊C4—1181no—
1619C22⋊C4—1181no—
1620C22⋊C4—1181no—
1621C22⋊C4—1181no—
1622C22⋊C4—1181no—
1623C22⋊C4—1181no—
1624C22⋊C4—1181no—
1625C22⋊C4—1181no—
1626C22⋊C4D4×D5911yescharacteristic
1627C22⋊C4D4×D5911yescharacteristic
1628C42—21no—
1629C42—21no—
1630C42—21no—
1631C42—21no—
1632C42—591no—
1633C42—1181no—
1634C42—1181no—
1635C42—1181no—
1636C42—1181no—
1637C42—1181no—
1638C42—1181no—
1639C42—1181no—
1640C42—1181no—
1641C42C23×D5911yescharacteristic
1642C23—21no—
1643C23—591no—
1644C23—591no—
1645C23—591no—
1646C23—1182no—
1647C23—1181no—
1648C23—1181no—
1649C23—1181no—
1650C23—4721no—
1651C23—4721no—
1652C23—4721no—
1653C23—4721no—
1654C23—4721no—
1655C23—4721no—
1656C23—4721no—
1657C23—2361no—
1658C23—2361no—
1659C23—2362no—
1660C23—2362no—
1661C23—2362no—
1662C23—2362no—
1663C23—2362no—
1664C23C2×D4×D5911yescharacteristic
1665C23C2×D4×D5911yescharacteristic
1666Q8—21no—
1667Q8—21no—
1668Q8—21no—
1669Q8—21no—
1670Q8—21no—
1671Q8—42no—
1672Q8—81no—
1673Q8—1182no—
1674Q8—1181no—
1675Q8—1181no—
1676Q8—4721no—
1677Q8—2362no—
1678Q8#41×D5912yes—
1679D4—21no—
1680D4—21no—
1681D4—41no—
1682D4—42no—
1683D4—42no—
1684D4—592no—
1685D4—1182no—
1686D4—1184no—
1687D4—1182no—
1688D4—1182no—
1689D4—1181no—
1690D4—1181no—
1691D4—1181no—
1692D4—1181no—
1693D4—1181no—
1694D4—4721no—
1695D4—4721no—
1696D4—4721no—
1697D4—4721no—
1698D4—4721no—
1699D4—4721no—
1700D4—4721no—
1701D4—4721no—
1702D4—2361no—
1703D4—2362no—
1704D4—2362no—
1705D4—2362no—
1706D4—2362no—
1707D4—2362no—
1708D4—2362no—
1709D4—2362no—
1710D4—2361no—
1711D4—2361no—
1712D4—2362no—
1713D4—2362no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—42no—
1726C2×C4—42no—
1727C2×C4—591no—
1728C2×C4—592no—
1729C2×C4—592no—
1730C2×C4—591no—
1731C2×C4—591no—
1732C2×C4—591no—
1733C2×C4—591no—
1734C2×C4—1182no—
1735C2×C4—1184no—
1736C2×C4—1182no—
1737C2×C4—1182no—
1738C2×C4—1181no—
1739C2×C4—1181no—
1740C2×C4—1181no—
1741C2×C4—1181no—
1742C2×C4—1181no—
1743C2×C4—1181no—
1744C2×C4—1181no—
1745C2×C4—1181no—
1746C2×C4—1181no—
1747C2×C4—4721no—
1748C2×C4—4721no—
1749C2×C4—4721no—
1750C2×C4—4721no—
1751C2×C4—4721no—
1752C2×C4—4721no—
1753C2×C4—4721no—
1754C2×C4—2362no—
1755C2×C4—2362no—
1756C2×C4—2362no—
1757C2×C4—2362no—
1758C2×C4—2362no—
1759C2×C4—2362no—
1760C2×C4C2×D4×D5911yescharacteristic
1761C2×C4C2×D4×D5911yescharacteristic
1762C2×C4C2×D4×D5911yescharacteristic
1763C2×C4C2×D4×D5911yescharacteristic
1764C2×C4C24×D5911yescharacteristic
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—21no—
1769C8—1181no—
1770C8—1181no—
1771C8—1181no—
1772C8—1181no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—592no—
1783C22—1181no—
1784C22—1181no—
1785C22—1181no—
1786C22—1182no—
1787C22—1181no—
1788C22—1181no—
1789C22—1181no—
1790C22—1181no—
1791C22—1181no—
1792C22—9442no—
1793C22—9442no—
1794C22—9442no—
1795C22—4722no—
1796C22—4724no—
1797C22—2361no—
1798C22—2361no—
1799C22—2361no—
1800C22—2361no—
1801C22—2361no—
1802C22—2361no—
1803C22—2361no—
1804C22—2361no—
1805C22C22×D4×D5911yescharacteristic
1806C4—21no—
1807C4—21no—
1808C4—22no—
1809C4—21no—
1810C4—21no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—592no—
1818C4—1181no—
1819C4—1181no—
1820C4—1181no—
1821C4—1181no—
1822C4—2361no—
1823C4—2361no—
1824C4—2361no—
1825C4—2361no—
1826C4—2361no—
1827C4C2×#41×D5911yescharacteristic
1828C4H(5,𝔽2)×D5911yescharacteristic
1829C2—41no—
1830C2—41no—
1831C2—81no—
1832C2—1182no—
1833C2—4721no—
1834C2—4721no—
1835C2—2361no—
1836C2—2361no—
1837C2—2362no—
1838C2#546×D5911yescharacteristic
1839C2#2143887311yescharacteristic
1840C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3313C2
socleC22×C59C23×D4
prime radical#21437762C2
hypercenter#3313D59
hypocenterC59#61180
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3313

Complements

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

NH ≅ G/Ntype
1. #21437841C2semidirect
3. #21436431C2semidirect
4. #21436427C2semidirect
5. #21436368C2semidirect
6. #21436364C2semidirect
7. #21436325C2semidirect
8. #21436321C2semidirect
9. #21436319C2semidirect
10. #21436310C2semidirect
11. #21436227C2semidirect
12. #21436218C2semidirect
13. #21436183C2semidirect
14. #21436176C2semidirect
15. #21436163C2semidirect
16. #21436119C2semidirect
17. #21436112C2semidirect
18. #21434447C2semidirect
19. #21434077C2semidirect
20. #21434035C2semidirect
21. #21433944C2semidirect
22. #21433786C2semidirect
23. #468×D59C2semidirect
24. #21433615C2semidirect
25. #21433370C2semidirect
26. #21433355C2semidirect
27. #21432938C2semidirect
28. #21432794C2semidirect
29. #21432618C2semidirect
30. #21432614C2semidirect
31. C59×#3313C2semidirect
35. C2×#14273759C22semidirect
36. C2×SD16×D59C22semidirect
37. C2×#14273733C22semidirect
38. C2×M16×D59C22semidirect
39. #16838120C22semidirect
40. #16838113C22semidirect
41. #16838110C22semidirect
43. #16838093C22semidirect
44. #16838092C22semidirect
45. #16838091C22semidirect
47. #16838086C22semidirect
61. #16838029C22semidirect
66. #16837975C22semidirect
73. C22⋊Q8×D59C22semidirect
77. #16837882C22semidirect
78. #16837878C22semidirect
79. #117×D59C22semidirect
80. #16837767C22semidirect
81. #16837765C22semidirect
82. #16837763C22semidirect
83. #16837758C22semidirect
84. #16837756C22semidirect
85. #16837750C22semidirect
86. #16837747C22semidirect
87. #16837742C22semidirect
88. #16837736C22semidirect
89. #16837735C22semidirect
90. #16837728C22semidirect
91. #16837727C22semidirect
92. #16837726C22semidirect
93. #16837726C22semidirect
94. #16837723C22semidirect
95. #16837722C22semidirect
96. #16837719C22semidirect
97. #16837717C22semidirect
98. #16837717C22semidirect
99. #16837716C22semidirect
100. #16837714C22semidirect
101. #16837709C22semidirect
102. #16837707C22semidirect
103. #16837705C22semidirect
104. #16837703C22semidirect
105. #16837695C22semidirect
106. #16837681C22semidirect
107. #16837679C22semidirect
108. #16837658C22semidirect
109. #16837657C22semidirect
110. #16837651C22semidirect
111. #16837650C22semidirect
112. #16837650C22semidirect
113. #16837649C22semidirect
114. #16837649C22semidirect
115. #16837648C22semidirect
116. #16837647C22semidirect
117. #16837646C22semidirect
118. #16837645C22semidirect
119. #16837642C22semidirect
120. #16837634C22semidirect
121. #16837631C22semidirect
122. #16837627C22semidirect
123. #16837626C22semidirect
124. #16837621C22semidirect
125. #16837603C22semidirect
126. #16837602C22semidirect
127. #16837601C22semidirect
128. #16837600C22semidirect
129. #16837567C22semidirect
130. #16837567C22semidirect
131. #16837567C22semidirect
132. #16837564C22semidirect
133. #16837563C22semidirect
134. #16837563C22semidirect
135. #16837563C22semidirect
136. #16837558C22semidirect
137. #16837555C22semidirect
138. #16837555C22semidirect
139. #16837554C22semidirect
140. #16837552C22semidirect
141. #16837552C22semidirect
142. #16837551C22semidirect
143. #16837506C22semidirect
144. #16837505C22semidirect
145. #16837504C22semidirect
146. Q16×Dic59C22semidirect
147. C4×#11745672C22semidirect
148. C4×#11745671C22semidirect
149. #16837489C22semidirect
150. #16837480C22semidirect
151. #16837479C22semidirect
152. #16837477C22semidirect
153. #16837477C22semidirect
154. #16837475C22semidirect
155. #16837473C22semidirect
156. #16837471C22semidirect
157. #16837443C22semidirect
158. #16837441C22semidirect
159. #107×D59C22semidirect
160. #16837427C22semidirect
161. #16837411C22semidirect
162. #16837408C22semidirect
163. #16837406C22semidirect
164. #16837406C22semidirect
165. #16837405C22semidirect
166. #16837405C22semidirect
167. #16837405C22semidirect
168. #16837403C22semidirect
170. #16837402C22semidirect
171. #16837402C22semidirect
172. #16837402C22semidirect
173. #16837402C22semidirect
174. #16837402C22semidirect
175. #16837402C22semidirect
178. #16837397C22semidirect
179. #16837397C22semidirect
180. #16837397C22semidirect
181. #103×D59C22semidirect
182. C2×#14273649C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. #16837364C22semidirect
187. #16837359C22semidirect
188. C59×#556C22semidirect
190. C59×#489C22semidirect
191. C59×#485C22semidirect
192. C59×#482C22semidirect
193. C59×#477C22semidirect
194. C59×#468C22semidirect
195. C59×#467C22semidirect
196. C59×#464C22semidirect
197. C59×#452C22semidirect
198. C59×#451C22semidirect
199. C59×#441C22semidirect
200. C59×#435C22semidirect
201. C59×#419C22semidirect
202. C59×#416C22semidirect
924. #3313D59semidirect
960. #556C2×D59semidirect
1005. #489C2×D59semidirect
1011. #485C2×D59semidirect
1019. #482C2×D59semidirect
1031. #477C2×D59semidirect
1045. #468C2×D59semidirect
1047. #467C2×D59semidirect
1053. #464C2×D59semidirect
1065. #452C2×D59semidirect
1067. #451C2×D59semidirect
1075. #441C2×D59semidirect
1089. #435C2×D59semidirect
1095. #419C2×D59semidirect
1115. #416C2×D59semidirect
1123. C59#61180semidirect

Maximal subgroups

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

subgroupindex
#214378412
#214377622
#214364312
#214364272
#214363682
#214363642
#214363252
#214363212
#214363192
#214363102
#214362272
#214362182
#214361832
#214361762
#214361632
#214361192
#214361122
#214344472
#214340772
#214340352
#214339442
#214337862
#468×D592
#214336152
#214333702
#214333552
#214329382
#214327942
#214326182
#214326142
C59×#33132
#6118059