Finite Group Databasebeta

← #29466355

Subgroups — #29466355

Order 15104.

2116 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437827C211yesmaximal, characteristic, complemented
2#21437735C211yesmaximal, characteristic, complemented
3#21436401C211yesmaximal, characteristic, complemented
4#21436396C211yesmaximal, characteristic, complemented
5#21436298C211yesmaximal, characteristic, complemented
6#21436291C211yesmaximal, characteristic, complemented
7#21436257C211yesmaximal, characteristic, complemented
8#21436255C211yesmaximal, characteristic, complemented
9#21436075C211yesmaximal, characteristic, complemented
10#21436071C211yesmaximal, characteristic, complemented
11#21436065C211yesmaximal, characteristic, complemented
12#21436059C211yesmaximal, characteristic, complemented
13#21436050C211yesmaximal, characteristic, complemented
14#21436027C211yesmaximal, characteristic, complemented
15#21436020C211yesmaximal, characteristic, complemented
16#21435952C211yesmaximal, characteristic, complemented
17#21435943C211yesmaximal, characteristic, complemented
18#21434462C211yesmaximal, characteristic, complemented
19#21434062C211yesmaximal, characteristic, complemented
20#21434010C211yesmaximal, characteristic, complemented
21#21433926C211yesmaximal, characteristic, complemented
22#21433730C211yesmaximal, characteristic, complemented
23#21433710C211yesmaximal, characteristic, complemented
24#21433603C211yesmaximal, characteristic, complemented
25#21433361C211yesmaximal, characteristic, complemented
26#449×D59C211yesmaximal, characteristic, complemented
27#21432945C211yesmaximal, characteristic, complemented
28#21432819C211yesmaximal, characteristic, complemented
29#21432618C211yesmaximal, characteristic, complemented
30#21432612C211yesmaximal, characteristic, complemented
31C59×#3307C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273754C2211yescharacteristic
35C2×SD16×D59C2211yescharacteristic, complemented
36C2×D8×D59C2211yescharacteristic
37C2×#14273733C2211yescharacteristic
38C2×M16×D59C2211yescharacteristic, complemented
39#16838117C2211yescharacteristic, complemented
40#16838115C2211yescharacteristic, complemented
41#16838105C2211yescharacteristic, complemented
42#16838104C2211yescharacteristic, complemented
43#16838100C2211yescharacteristic, complemented
44#16838077—21no—
45#16838075—21no—
46#16838056C2211yescharacteristic, complemented
47#16838055C2211yescharacteristic, complemented
48#16838054C2211yescharacteristic, complemented
49#16838053—21no—
50#16838052C2211yescharacteristic, complemented
51#16838051C2211yescharacteristic, complemented
52#16838050—21no—
53#16838048C2211yescharacteristic, complemented
54#16838047—21no—
55#16838047C2211yescharacteristic, complemented
56#16838044—21no—
57#16838043C2211yescharacteristic, complemented
58#16838041—21no—
59#16838041—21no—
60#16838040C2211yescharacteristic, complemented
61#16838032C2211yescharacteristic, complemented
62#16838018—21no—
63#16838004—21no—
64#16837977C2211yescharacteristic
65#16837975C2211yescharacteristic
66#16837968C2211yescharacteristic
67#16837963—21no—
68#16837960—21no—
69#16837947—21no—
70#16837932—21no—
71#16837915C2211yescharacteristic
72#16837911C2211yescharacteristic
73C2×#14273712—21no—
74#123×D59—21no—
75#121×D59C2211yescharacteristic, complemented
76#16837882C2211yescharacteristic
77#16837874C2211yescharacteristic
78#16837874C2211yescharacteristic, complemented
79C2×#14273685C2211yescharacteristic, complemented
80#16837769C2211yescharacteristic, complemented
81#16837763C2211yescharacteristic, complemented
82#16837762C2211yescharacteristic, complemented
83#16837759C2211yescharacteristic, complemented
84#16837758C2211yescharacteristic, complemented
85#16837752C2211yescharacteristic, complemented
86#16837751C2211yescharacteristic, complemented
87#16837746C2211yescharacteristic, complemented
88#16837743C2211yescharacteristic, complemented
89#16837741C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837741C2211yescharacteristic, complemented
92#16837739C2211yescharacteristic, complemented
93#16837735C2211yescharacteristic, complemented
94#16837735C2211yescharacteristic, complemented
95#16837733C2211yescharacteristic, complemented
96#16837731C2211yescharacteristic, complemented
97#16837728C2211yescharacteristic, complemented
98#16837728C2211yescharacteristic, complemented
99#16837721C2211yescharacteristic, complemented
100#16837715C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic, complemented
103#16837699C2211yescharacteristic, complemented
104#16837693C2211yescharacteristic, complemented
105#16837690C2211yescharacteristic, complemented
106#16837682C2211yescharacteristic, complemented
107#16837681C2211yescharacteristic, complemented
108#16837655C2211yescharacteristic, complemented
109#16837653C2211yescharacteristic, complemented
110#16837651C2211yescharacteristic, complemented
111#16837650C2211yescharacteristic, complemented
112#16837650C2211yescharacteristic, complemented
113#16837647C2211yescharacteristic, complemented
114#16837646C2211yescharacteristic, complemented
115#16837639C2211yescharacteristic, complemented
116#16837637C2211yescharacteristic, complemented
117#16837634C2211yescharacteristic, complemented
118#16837632C2211yescharacteristic, complemented
119#16837631C2211yescharacteristic, complemented
120#16837628C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837618C2211yescharacteristic, complemented
125#16837617C2211yescharacteristic, complemented
126#16837606C2211yescharacteristic, complemented
127#16837605C2211yescharacteristic, complemented
128#16837604C2211yescharacteristic, complemented
129#16837550C2211yescharacteristic, complemented
130#16837550C2211yescharacteristic, complemented
131#16837549C2211yescharacteristic, complemented
132#16837548C2211yescharacteristic, complemented
133#16837547C2211yescharacteristic, complemented
134#16837547C2211yescharacteristic, complemented
135#16837546C2211yescharacteristic, complemented
136#16837546C2211yescharacteristic, complemented
137#16837545C2211yescharacteristic, complemented
138#16837544C2211yescharacteristic, complemented
139#16837538C2211yescharacteristic, complemented
140#16837537C2211yescharacteristic, complemented
141#16837535C2211yescharacteristic, complemented
142#16837534C2211yescharacteristic, complemented
143#16837515C2211yescharacteristic, complemented
144#16837514C2211yescharacteristic, complemented
145#16837513C2211yescharacteristic, complemented
146C4×#11745669C2211yescharacteristic, complemented
147C4×#11745669C2211yescharacteristic, complemented
148#16837482C2211yescharacteristic, complemented
149#16837482C2211yescharacteristic, complemented
150#16837480C2211yescharacteristic, complemented
151#16837478C2211yescharacteristic, complemented
152#16837476C2211yescharacteristic, complemented
153#16837476C2211yescharacteristic, complemented
154#16837475C2211yescharacteristic, complemented
155#16837467C2211yescharacteristic, complemented
156C8×C22⋊D59C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837437C2211yescharacteristic, complemented
159#16837437C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837409C2211yescharacteristic, complemented
162#16837409C2211yescharacteristic, complemented
163#16837406C2211yescharacteristic, complemented
164#16837405C2211yescharacteristic
165#16837405C2211yescharacteristic
166#16837405C2211yescharacteristic, complemented
167#16837405C2211yescharacteristic, complemented
168#16837404C2211yescharacteristic, complemented
169#16837403C2211yescharacteristic, complemented
170#16837403C2211yescharacteristic, complemented
171#16837402C2211yescharacteristic
172#16837402C2211yescharacteristic, complemented
173#16837401C2211yescharacteristic, complemented
174#16837397C2211yescharacteristic
175#16837397C2211yescharacteristic
176#16837397C2211yescharacteristic, complemented
177#16837397C2211yescharacteristic, complemented
178#16837397C2211yescharacteristic, complemented
179#16837395C2211yescharacteristic, complemented
180#16837395C2211yescharacteristic, complemented
181#103×D59C2211yescharacteristic, complemented
182C2×#14273649C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic
186C22⋊C8×D59C2211yescharacteristic, complemented
187#16837359C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189C59×#547C2211yescharacteristic, complemented
190C59×#491C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#483C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#461C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203#14273773—24no—
204#14273773—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745687—21no—
213C2×#11745687—21no—
214C2×#11745687—21no—
215C2×#11745687C2311yescharacteristic
216#41×D59—24no—
217#41×D59—42no—
218C2×Q8×D59C2311yescharacteristic
219C22×D236—21no—
220C22×D236C2311yescharacteristic
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C22×C4×D59—21no—
229C22×C4×D59C2311yescharacteristic
230#14273754—42no—
231C2×#11745660C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235SD16×D59—42no—
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241D8×D59—24no—
242#14273733—42no—
243C2×#11745664C2311yescharacteristic
244C2×#11745664C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248M16×D59—42no—
249C2×C8×D59C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254#14273727C2311yescharacteristic
255#14273726—21no—
256#14273726—21no—
257#14273726C2311yescharacteristic
258#14273725C2311yescharacteristic
259#14273723—21no—
260#14273722—21no—
261#14273722—21no—
262#14273720—21no—
263#14273718C2311yescharacteristic
264#14273717—21no—
265#14273716C2311yescharacteristic
266#14273715—21no—
267#14273715C2311yescharacteristic
268#14273713—21no—
269#14273713—21no—
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273712—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#14273712D411yescharacteristic
285#14273711—21no—
286#14273711—21no—
287#14273711—21no—
288#14273711—21no—
289#14273710—21no—
290#14273710—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709—21no—
294#14273709D411yescharacteristic
295#14273708—21no—
296#14273708—21no—
297#14273707—21no—
298#14273707—21no—
299#14273707C2311yescharacteristic
300#14273706C2311yescharacteristic
301#14273705—21no—
302#14273705—21no—
303#14273705—21no—
304#14273705D411yescharacteristic
305#14273704—21no—
306#14273704D411yescharacteristic
307#14273703C2311yescharacteristic
308#14273703C2311yescharacteristic
309#14273702—21no—
310#14273702—21no—
311#14273702—21no—
312#14273702C2311yescharacteristic
313#14273702C2311yescharacteristic
314#14273702C2311yescharacteristic
315#14273701—21no—
316#14273701—21no—
317#14273701—21no—
318#14273701C2311yescharacteristic
319#14273701C2311yescharacteristic
320#14273701C2311yescharacteristic
321#14273700—21no—
322#14273700—21no—
323#14273700—21no—
324#14273700—21no—
325#14273700D411yescharacteristic
326#14273699—21no—
327#14273699—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699D411yescharacteristic
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273697—21no—
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273697D411yescharacteristic
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695D411yescharacteristic
342C4×Dic118—21no—
343C4×D236—21no—
344C4×D236C2311yescharacteristic
345C4×D236C2311yescharacteristic
346C4×D236C2311yescharacteristic
347D4×Dic59—21no—
348D4×Dic59C2311yescharacteristic
349D4×Dic59C2311yescharacteristic
350#14273689—21no—
351#14273689—21no—
352#14273689C2311yescharacteristic
353#14273689C2311yescharacteristic
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59C2311yescharacteristic
358C4×C22⋊D59C2311yescharacteristic
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364#14273686—21no—
365#14273685—21no—
366#14273685—21no—
367#14273685C2311yescharacteristic
368#14273685C2311yescharacteristic
369#14273685C2311yescharacteristic
370#14273685C2311yescharacteristic
371#14273685C2311yescharacteristic
372#14273685C2311yescharacteristic
373#14273684—21no—
374#14273684C2311yescharacteristic
375C2×C4⋊Dic59C2311yescharacteristic
376C2×C4⋊Dic59C2311yescharacteristic
377C2×Dic59⋊C4—21no—
378C4⋊C4×D59—21no—
379C4⋊C4×D59—21no—
380C4⋊C4×D59C2311yescharacteristic
381C4⋊C4×D59C2311yescharacteristic
382C2×(C2×D59)⋊C4—21no—
383C2×(C2×D59)⋊C4—21no—
384C2×(C2×D59)⋊C4—21no—
385C2×(C2×D59)⋊C4—21no—
386C2×(C2×D59)⋊C4—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C2×C4×Dic59—21no—
393#14273660C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273659C2311yescharacteristic
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#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273648C2311yescharacteristic
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#14273637C2311yescharacteristic
442C4×C59⋊C8C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C2×#41×C59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C22×C8×C59C2311yescharacteristic
451C4⋊Q8×C59C2311yescharacteristic
452#126×C59—21no—
453#125×C59C2311yescharacteristic
454#123×C59—21no—
455#123×C59—21no—
456#123×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458C22⋊Q8×C59C2311yescharacteristic
459#121×C59—21no—
460#121×C59—21no—
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463C4×D4×C59—21no—
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467#117×C59C2311yescharacteristic
468C2×C4⋊C4×C59—21no—
469C2×C4⋊C4×C59C2311yescharacteristic
470#107×C59C2311yescharacteristic
471#106×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#102×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—22no—
494#41×C59—41no—
495#41×C59—41no—
496C2×Q8×C59C2411yescharacteristic
497C2×Q8×C59C2411yescharacteristic
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59C2×D411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59C2411yescharacteristic
511C22×C4×C59C2411yescharacteristic
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59C2×D411yescharacteristic
523C2×C22⋊D59C2×D411yescharacteristic
524C2×C22⋊D59C2×D411yescharacteristic
525C2×C22⋊D59C2×D411yescharacteristic
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59C2×D411yescharacteristic
532#11745689—22no—
533#11745689—22no—
534#11745689—22no—
535#11745689—22no—
536#11745689—41no—
537#11745689—41no—
538Q8×D59—22no—
539Q8×D59—22no—
540#11745687—22no—
541#11745687—41no—
542#11745687—44no—
543#11745687—82no—
544#11745687—82no—
545D4×D59—22no—
546D4×D59—22no—
547D4×D59—22no—
548D4×D59—22no—
549D4×D59—41no—
550D4×D59—44no—
551D4×D59—44no—
552D4×D59—44no—
553D4×D59—82no—
554D4×D59#4114yescomplemented
555#11745685—22no—
556#11745685—22no—
557#11745685—22no—
558#11745685—41no—
559#11745685—44no—
560#11745685—44no—
561C2×D236—22no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—21no—
566C2×D236—21no—
567C2×D236—21no—
568C2×D236—21no—
569C2×D236—41no—
570C2×D236—44no—
571C2×D236C2×D411yescharacteristic
572C2×D236C2×D411yescharacteristic
573C2×D236C2411yescharacteristic
574C2×D236C2411yescharacteristic
575C2×D236C2411yescharacteristic
576C2×C4×D59—22no—
577C2×C4×D59—22no—
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—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—44no—
590C2×C4×D59C2×D411yescharacteristic
591C2×C4×D59C2×D411yescharacteristic
592C2×C4×D59C2411yescharacteristic
593C2×C4×D59C2411yescharacteristic
594C2×C4×D59C2411yescharacteristic
595C2×Dic118—21no—
596C2×Dic118—21no—
597C2×Dic118—21no—
598C2×Dic118C2×D411yescharacteristic
599C2×Dic118C2411yescharacteristic
600SD16×C59—41no—
601SD16×C59—41no—
602D8×C59—22no—
603M16×C59—41no—
604C2×C8×C59—41no—
605C2×C8×C59C2411yescharacteristic
606C2×C8×C59C2411yescharacteristic
607C2×C8×C59C2411yescharacteristic
608C2×C8×C59C2411yescharacteristic
609C4⋊C4×C59—21no—
610C4⋊C4×C59—21no—
611C4⋊C4×C59—21no—
612C4⋊C4×C59—21no—
613C4⋊C4×C59—21no—
614C4⋊C4×C59—21no—
615C4⋊C4×C59—21no—
616C4⋊C4×C59C2×D411yescharacteristic
617C4⋊C4×C59C2411yescharacteristic
618C4⋊C4×C59C2411yescharacteristic
619C4⋊C4×C59C2411yescharacteristic
620C4⋊C4×C59C2411yescharacteristic
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59—21no—
624C22⋊C4×C59—21no—
625C22⋊C4×C59—21no—
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59C2×D411yescharacteristic
629C22⋊C4×C59C2×D411yescharacteristic
630C42×C59—21no—
631C42×C59C2411yescharacteristic
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59C2×D411yescharacteristic
638C22⋊Dic59C2×D411yescharacteristic
639#11745671—41no—
640#11745671—41no—
641#11745670—41no—
642#11745669—22no—
643#11745669—22no—
644#11745669—41no—
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)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4C2×D411yescharacteristic
669(C2×D59)⋊C4C2×D411yescharacteristic
670(C2×D59)⋊C4C2×D411yescharacteristic
671(C2×D59)⋊C4C2×D411yescharacteristic
672(C2×D59)⋊C4C2×D411yescharacteristic
673(C2×D59)⋊C4C2×D411yescharacteristic
674C4⋊Dic59—21no—
675C4⋊Dic59—21no—
676C4⋊Dic59—21no—
677C4⋊Dic59—21no—
678C4⋊Dic59—21no—
679C4⋊Dic59C2×D411yescharacteristic
680C4⋊Dic59C2411yescharacteristic
681C4⋊Dic59C2411yescharacteristic
682C4⋊Dic59C2411yescharacteristic
683C4⋊Dic59C2411yescharacteristic
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4C2×D411yescharacteristic
694Dic59⋊C4C2×D411yescharacteristic
695Dic59⋊C4C2×D411yescharacteristic
696Dic59⋊C4C2×D411yescharacteristic
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
710D472—22no—
711D472—41no—
712#11745660—41no—
713#11745659—22no—
714#11745659—22no—
715#11745659—41no—
716C8×D59—22no—
717C8×D59—22no—
718C8×D59—41no—
719C8×D59—41no—
720C8×D59—41no—
721C23×C59—21no—
722C23×C59—21no—
723C23×C59C22×D411yescharacteristic
724C23×C59C22×D411yescharacteristic
725C22×D59—21no—
726C22×D59—22no—
727C22×D59—24no—
728C22×D59—21no—
729C22×D59—21no—
730C22×D59—41no—
731C22×D59—41no—
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×D59—81no—
743C22×D59C22×D411yescharacteristic
744C22×D59C22×D411yescharacteristic
745C22×D59C22×D411yescharacteristic
746Q8×C59—21no—
747Q8×C59—21no—
748Q8×C59—21no—
749Q8×C59—21no—
750D4×C59—21no—
751D4×C59—21no—
752D4×C59—21no—
753D4×C59—41no—
754D4×C59—42no—
755D4×C59—42no—
756D4×C59—42no—
757D4×C59—81no—
758D4×C59C2×#4112yes—
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×C59—81no—
772C2×C4×C59—81no—
773C2×C4×C59—81no—
774C2×C4×C59C22×D411yescharacteristic
775C2×C4×C59C22×D411yescharacteristic
776C2×C4×C59C22×D411yescharacteristic
777C2×C4×C59C22×D411yescharacteristic
778C2×C4×C59C2511yescharacteristic
779C22⋊D59—22no—
780C22⋊D59—22no—
781C22⋊D59—24no—
782C22⋊D59—41no—
783C22⋊D59—41no—
784C22⋊D59—42no—
785C22⋊D59—42no—
786C22⋊D59—42no—
787C22⋊D59—42no—
788C22⋊D59—42no—
789C22⋊D59—81no—
790C22⋊D59—81no—
791C22⋊D59—81no—
792C22⋊D59—81no—
793C2×Dic59—22no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—42no—
800C2×Dic59—42no—
801C2×Dic59—81no—
802C2×Dic59—81no—
803C2×Dic59—81no—
804C2×Dic59C22×D411yescharacteristic
805C2×Dic59C22×D411yescharacteristic
806C2×Dic59C22×D411yescharacteristic
807C2×Dic59C22×D411yescharacteristic
808C2×Dic59C22×D411yescharacteristic
809D236—22no—
810D236—21no—
811D236—21no—
812D236—21no—
813D236—21no—
814D236—21no—
815D236—41no—
816D236—42no—
817D236—42no—
818D236—42no—
819D236—42no—
820D236—81no—
821D236—81no—
822D236—81no—
823D236C2×#4112yes—
824C4×D59—22no—
825C4×D59—21no—
826C4×D59—21no—
827C4×D59—21no—
828C4×D59—21no—
829C4×D59—22no—
830C4×D59—42no—
831C4×D59—42no—
832C4×D59—42no—
833C4×D59—42no—
834C4×D59—42no—
835C4×D59—81no—
836C4×D59—81no—
837C4×D59—81no—
838C4×D59—81no—
839C4×D59—81no—
840C4×D59—81no—
841C4×D59C2×#4112yes—
842C4×D59H(5,𝔽2)12yes—
843Dic118—22no—
844Dic118—21no—
845Dic118—21no—
846Dic118—42no—
847Dic118—81no—
848Dic118—81no—
849C8×C59—21no—
850C8×C59—21no—
851C8×C59—21no—
852C8×C59—21no—
853C59⋊C8—21no—
854C59⋊C8—21no—
855C59⋊C8—21no—
856C59⋊C8—21no—
857#61187—591nomaximal, Sylow
858C22×C59—21no—
859C22×C59—21no—
860C22×C59—21no—
861C22×C59—21no—
862C22×C59—21no—
863C22×C59—22no—
864C22×C59—21no—
865C22×C59—41no—
866C22×C59—41no—
867C22×C59—41no—
868C22×C59—41no—
869C22×C59—41no—
870C22×C59C23×D411yescharacteristic
871C2×D59—21no—
872C2×D59—21no—
873C2×D59—21no—
874C2×D59—21no—
875C2×D59—21no—
876C2×D59—21no—
877C2×D59—21no—
878C2×D59—21no—
879C2×D59—22no—
880C2×D59—41no—
881C2×D59—41no—
882C2×D59—41no—
883C2×D59—41no—
884C2×D59—41no—
885C2×D59—41no—
886C2×D59—41no—
887C2×D59—41no—
888C2×D59—82no—
889C2×D59—84no—
890C2×D59—162no—
891C2×D59—162no—
892C2×D59—162no—
893C2×D59#54612yes—
894C4×C59—21no—
895C4×C59—21no—
896C4×C59—21no—
897C4×C59—21no—
898C4×C59—41no—
899C4×C59—41no—
900C4×C59—41no—
901C4×C59—41no—
902C4×C59—41no—
903C4×C59—41no—
904C4×C59C22×#4111yescharacteristic
905C4×C59C2×H(5,𝔽2)11yescharacteristic
906Dic59—21no—
907Dic59—21no—
908Dic59—21no—
909Dic59—21no—
910Dic59—41no—
911Dic59—41no—
912Dic59—41no—
913Dic59—41no—
914Dic59—41no—
915Dic59#54612yes—
916#3494—591no—
917#3485—591no—
918#3330—591no—
919#3330—591no—
920#3322—591no—
921#3322—591no—
922#3319—591no—
923#3319—591no—
924#3307—591no—
925#3307—591no—
926#3307—591no—
927#3307D5911yescharacteristic, complemented
928#3306—591no—
929#3306—591no—
930#3303—591no—
931#3303—591no—
932#3297—591no—
933#3297—591no—
934#3137—591no—
935#3097—591no—
936#3091—591no—
937#3081—591no—
938#3057—591no—
939#3055—591no—
940#3042—591no—
941#3008—591no—
942C2×#449—591no—
943#2948—591no—
944#2933—591no—
945#2897—591no—
946#2896—591no—
947C2×C59—42no—
948C2×C59—41no—
949C2×C59—41no—
950C2×C59—81no—
951C2×C59C2×#54611yescharacteristic
952C2×C59#358411yescharacteristic
953C2×C59#358511yescharacteristic
954D59—22no—
955D59—41no—
956D59—41no—
957D59—42no—
958D59—81no—
959D59—81no—
960C2×H(5,𝔽2)—591no—
961C22×#41—591no—
962C2×AGL(1,ℤ/8)—591no—
963C22×SD16—591no—
964C22×D8—591no—
965C2×#131—591no—
966C22×M16—591no—
967#555—591no—
968#555—591no—
969#553—591no—
970#553—591no—
971#553—591no—
972#553C2×D5911yescharacteristic, complemented
973#551—1181no—
974#551—1181no—
975#547—591no—
976#547—591no—
977#547—591no—
978#547—591no—
979#547—591no—
980#547—1181no—
981#547—1181no—
982#547C2×D5911yescharacteristic, complemented
983#546—591no—
984#546—591no—
985#546—591no—
986#546—591no—
987#546—1181no—
988#546—1181no—
989#546—1181no—
990#546—1181no—
991#544—591no—
992#542—1181no—
993#540—1181no—
994#536—591no—
995#536—591no—
996#535—591no—
997#534—1181no—
998#534—1181no—
999#532—1181no—
1000#529—1181no—
1001#525—591no—
1002#525—591no—
1003C2×#123—1181no—
1004C2×#123—1181no—
1005C2×#121—591no—
1006#520—591no—
1007#518—591no—
1008#518—591no—
1009C2×#117—591no—
1010#491—591no—
1011#491C2×D5911yescharacteristic, complemented
1012#489—591no—
1013#489—591no—
1014#488—591no—
1015#488—591no—
1016#487—591no—
1017#487—591no—
1018#485—591no—
1019#485—591no—
1020#485—591no—
1021#485—591no—
1022#485—591no—
1023#485C2×D5911yescharacteristic, complemented
1024#484—591no—
1025#484—591no—
1026#484—591no—
1027#483—591no—
1028#483—591no—
1029#483C2×D5911yescharacteristic, complemented
1030#482—591no—
1031#482—591no—
1032#481—591no—
1033#480—591no—
1034#478—591no—
1035#478—591no—
1036#478—591no—
1037#478C2×D5911yescharacteristic, complemented
1038#476—591no—
1039#476—591no—
1040#474—591no—
1041#474—591no—
1042#469—591no—
1043#469—591no—
1044#468—591no—
1045#468—591no—
1046#468—591no—
1047#468—591no—
1048#468—591no—
1049#468C2×D5911yescharacteristic, complemented
1050#466—591no—
1051#466—591no—
1052#465—591no—
1053#465—591no—
1054#465—591no—
1055#465—591no—
1056#465—591no—
1057#465C2×D5911yescharacteristic, complemented
1058#463—591no—
1059#463—591no—
1060#463—591no—
1061#463—591no—
1062#461—591no—
1063#461—591no—
1064#461—591no—
1065#461C2×D5911yescharacteristic, complemented
1066#449—591no—
1067#449—591no—
1068#449—591no—
1069#449—591no—
1070#449—591no—
1071#449—591no—
1072#449—591no—
1073#449—591no—
1074#449—591no—
1075#449—591no—
1076#449C2×D5911yescharacteristic, complemented
1077#449C2×D5911yescharacteristic, complemented
1078#447—591no—
1079#447—591no—
1080#447—591no—
1081#447—591no—
1082#442—591no—
1083#442—591no—
1084#442—591no—
1085#442C2×D5911yescharacteristic, complemented
1086C4×D8—591no—
1087C4×D8—591no—
1088C4×D8—591no—
1089C4×D8—591no—
1090#436—591no—
1091#436—591no—
1092#435—591no—
1093#435—591no—
1094#435—591no—
1095#435C2×D5911yescharacteristic, complemented
1096C8×D4—591no—
1097C8×D4—591no—
1098#428—591no—
1099#427—591no—
1100#427—591no—
1101#424—591no—
1102#419—591no—
1103#419—591no—
1104#418—591no—
1105#418—591no—
1106#418—591no—
1107#418—591no—
1108#418—591no—
1109#417—591no—
1110#417—591no—
1111#417—591no—
1112#417—591no—
1113#417—591no—
1114#417—591no—
1115#417C2×D5911yescharacteristic, complemented
1116#416—591no—
1117#416—591no—
1118#416—591no—
1119#416—591no—
1120#416—591no—
1121#416—591no—
1122#416—591no—
1123#416C2×D5911yescharacteristic, complemented
1124C2×#103—591no—
1125C2×#102—591no—
1126C2×#102—591no—
1127C2×#102—591no—
1128#408—591no—
1129C2×C22⋊C8—591no—
1130#405—591no—
1131C59#6118711yescharacteristic, complemented, Sylow
1132H(5,𝔽2)—1184no—
1133H(5,𝔽2)—2362no—
1134C2×#41—591no—
1135C2×#41—591no—
1136C2×#41—591no—
1137C2×#41—591no—
1138C2×#41—591no—
1139C2×#41—591no—
1140C2×#41—1181no—
1141C2×#41—1181no—
1142C2×#41—1181no—
1143C2×#41—1181no—
1144C2×#41—1181no—
1145C2×#41—1184no—
1146C2×#41—2362no—
1147C2×#41C22×D5911yescharacteristic
1148C2×#41C22×D5911yescharacteristic
1149C22×Q8—591no—
1150C22×D4—591no—
1151C22×D4—591no—
1152C22×D4—591no—
1153C22×D4—591no—
1154C22×D4—1181no—
1155C22×D4—1181no—
1156C22×D4—1181no—
1157C22×D4—1181no—
1158C22×D4—1181no—
1159C23×C4—591no—
1160C23×C4—1181no—
1161AGL(1,ℤ/8)—2362no—
1162C2×SD16—591no—
1163C2×SD16—591no—
1164C2×SD16—591no—
1165C2×SD16—591no—
1166C2×SD16—2362no—
1167C2×SD16C22×D5911yescharacteristic
1168C2×SD16C22×D5911yescharacteristic
1169C2×D8—591no—
1170C2×D8—591no—
1171C2×D8—591no—
1172C2×D8—591no—
1173C2×D8—591no—
1174C2×D8—1184no—
1175C2×D8C22×D5911yescharacteristic
1176#131—2362no—
1177C2×M16—591no—
1178C2×M16—591no—
1179C2×M16—591no—
1180C2×M16—591no—
1181C2×M16—591no—
1182C2×M16—2362no—
1183C2×M16C22×D5911yescharacteristic
1184C22×C8—591no—
1185C22×C8—591no—
1186C22×C8—591no—
1187C22×C8—591no—
1188C22×C8—591no—
1189C22×C8C22×D5911yescharacteristic
1190C4⋊Q8—591no—
1191C4⋊Q8—591no—
1192C4⋊Q8—591no—
1193C4⋊Q8—1181no—
1194C4⋊Q8—1181no—
1195C4⋊Q8C22×D5911yescharacteristic
1196#127—1181no—
1197#126—21no—
1198#126—1181no—
1199#126—1181no—
1200#126—1181no—
1201#125—591no—
1202#125—1181no—
1203#125C22×D5911yescharacteristic
1204#124—591no—
1205#124—591no—
1206#124—1181no—
1207#124—1181no—
1208#124—1181no—
1209#124—1181no—
1210#124—1181no—
1211#124—1181no—
1212#123—21no—
1213#123—21no—
1214#123—21no—
1215#123—591no—
1216#123—591no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224#123—1181no—
1225#123—1181no—
1226#123—1181no—
1227#123—1181no—
1228#123—1181no—
1229#123—1181no—
1230#123—1181no—
1231#123—1181no—
1232#123—1181no—
1233#123—1181no—
1234#123—1181no—
1235#123—1181no—
1236#123—1181no—
1237#123—1181no—
1238#123—1181no—
1239C22⋊Q8—591no—
1240C22⋊Q8—591no—
1241C22⋊Q8—591no—
1242C22⋊Q8—591no—
1243C22⋊Q8—591no—
1244C22⋊Q8—591no—
1245C22⋊Q8—1181no—
1246C22⋊Q8—1181no—
1247C22⋊Q8—1181no—
1248C22⋊Q8—1181no—
1249C22⋊Q8—1181no—
1250C22⋊Q8—1181no—
1251C22⋊Q8C22×D5911yescharacteristic
1252C22⋊Q8C22×D5911yescharacteristic
1253#121—21no—
1254#121—21no—
1255#121—591no—
1256#121—591no—
1257#121—591no—
1258#121—591no—
1259#121—591no—
1260#121—591no—
1261#121—591no—
1262#121—591no—
1263#121—591no—
1264#121—591no—
1265#121—1181no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121—1181no—
1271#121—1181no—
1272#121—1181no—
1273#121—1181no—
1274#121—1181no—
1275#121—1181no—
1276#121—1181no—
1277#121—1181no—
1278#121—1181no—
1279#121C22×D5911yescharacteristic
1280#121C22×D5911yescharacteristic
1281#120—591no—
1282#120—591no—
1283#120—1181no—
1284#120—1181no—
1285#120—1181no—
1286#120—1181no—
1287#120—1181no—
1288#120—1181no—
1289#120—1181no—
1290C4×Q8—1181no—
1291C4×D4—21no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—591no—
1300C4×D4—591no—
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×D4—1181no—
1310C4×D4—1181no—
1311C4×D4—1181no—
1312C4×D4—1181no—
1313C4×D4C22×D5911yescharacteristic
1314C4×D4C22×D5911yescharacteristic
1315C4×D4C22×D5911yescharacteristic
1316#117—591no—
1317#117—591no—
1318#117—591no—
1319#117—591no—
1320#117—591no—
1321#117—591no—
1322#117—591no—
1323#117—1181no—
1324#117—1181no—
1325#117—1181no—
1326#117—1181no—
1327#117C22×D5911yescharacteristic
1328C2×C4⋊C4—21no—
1329C2×C4⋊C4—591no—
1330C2×C4⋊C4—591no—
1331C2×C4⋊C4—591no—
1332C2×C4⋊C4—591no—
1333C2×C4⋊C4—1181no—
1334C2×C4⋊C4—1181no—
1335C2×C4⋊C4—1181no—
1336C2×C4⋊C4C22×D5911yescharacteristic
1337C2×C22⋊C4—1181no—
1338C2×C22⋊C4—1181no—
1339C2×C22⋊C4—1181no—
1340C2×C22⋊C4—1181no—
1341C2×C22⋊C4—1181no—
1342C2×C22⋊C4—1181no—
1343C2×C22⋊C4—1181no—
1344C2×C22⋊C4—1181no—
1345C2×C22⋊C4—1181no—
1346C2×C22⋊C4—1181no—
1347C2×C42—1181no—
1348#107—591no—
1349#107—591no—
1350#107—591no—
1351#107—591no—
1352#107—591no—
1353#107C22×D5911yescharacteristic
1354#106—591no—
1355#106—591no—
1356#106—591no—
1357#106—591no—
1358#106C22×D5911yescharacteristic
1359#106C22×D5911yescharacteristic
1360C4⋊C8—591no—
1361C4⋊C8—591no—
1362C4⋊C8—591no—
1363C4⋊C8C22×D5911yescharacteristic
1364#103—591no—
1365#103—591no—
1366#103—591no—
1367#103—591no—
1368#103—591no—
1369#103—591no—
1370#103—591no—
1371#103—591no—
1372#103—591no—
1373#103—591no—
1374#103—591no—
1375#103—591no—
1376#103C22×D5911yescharacteristic
1377#103C22×D5911yescharacteristic
1378#103C22×D5911yescharacteristic
1379#103C22×D5911yescharacteristic
1380#103C22×D5911yescharacteristic
1381#103C22×D5911yescharacteristic
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#102—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102C22×D5911yescharacteristic
1401#102C22×D5911yescharacteristic
1402#102C22×D5911yescharacteristic
1403#102C22×D5911yescharacteristic
1404C22⋊C8—591no—
1405C22⋊C8—591no—
1406C22⋊C8—591no—
1407C22⋊C8—591no—
1408C22⋊C8—591no—
1409C22⋊C8—591no—
1410C22⋊C8C22×D5911yescharacteristic
1411C22⋊C8C22×D5911yescharacteristic
1412#97—591no—
1413#97C22×D5911yescharacteristic
1414C4×C8—591no—
1415C4×C8—591no—
1416C24—591no—
1417C24—1181no—
1418C24—1181no—
1419C24—1181no—
1420C24—1181no—
1421#41—22no—
1422#41—22no—
1423#41—41no—
1424#41—41no—
1425#41—1182no—
1426#41—1182no—
1427#41—1182no—
1428#41—1182no—
1429#41—1182no—
1430#41—1182no—
1431#41—1182no—
1432#41—1182no—
1433#41—4722no—
1434#41—4722no—
1435#41—2361no—
1436#41—2364no—
1437#41—2364no—
1438#41—2361no—
1439#41—2364no—
1440#41—2361no—
1441#41—2361no—
1442C2×Q8—591no—
1443C2×Q8—591no—
1444C2×Q8—1181no—
1445C2×Q8—1181no—
1446C2×Q8—1182no—
1447C2×Q8—1182no—
1448C2×Q8—1181no—
1449C2×Q8C23×D5911yescharacteristic
1450C2×Q8C23×D5911yescharacteristic
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—21no—
1455C2×D4—594no—
1456C2×D4—591no—
1457C2×D4—591no—
1458C2×D4—591no—
1459C2×D4—591no—
1460C2×D4—591no—
1461C2×D4—591no—
1462C2×D4—591no—
1463C2×D4—591no—
1464C2×D4—591no—
1465C2×D4—1182no—
1466C2×D4—1181no—
1467C2×D4—1181no—
1468C2×D4—1181no—
1469C2×D4—1181no—
1470C2×D4—1181no—
1471C2×D4—1181no—
1472C2×D4—1182no—
1473C2×D4—1182no—
1474C2×D4—1182no—
1475C2×D4—1181no—
1476C2×D4—1181no—
1477C2×D4—1181no—
1478C2×D4—1182no—
1479C2×D4—1181no—
1480C2×D4—1181no—
1481C2×D4—1181no—
1482C2×D4—1181no—
1483C2×D4—1181no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—4722no—
1488C2×D4—2361no—
1489C2×D4—2364no—
1490C2×D4—2361no—
1491C2×D4—2364no—
1492C2×D4—2364no—
1493C2×D4—2364no—
1494C2×D4D4×D5911yescharacteristic
1495C2×D4C23×D5911yescharacteristic
1496C2×D4C23×D5911yescharacteristic
1497C22×C4—21no—
1498C22×C4—21no—
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—591no—
1503C22×C4—591no—
1504C22×C4—591no—
1505C22×C4—591no—
1506C22×C4—591no—
1507C22×C4—591no—
1508C22×C4—1182no—
1509C22×C4—1182no—
1510C22×C4—1181no—
1511C22×C4—1181no—
1512C22×C4—1181no—
1513C22×C4—1181no—
1514C22×C4—1181no—
1515C22×C4—1181no—
1516C22×C4—1181no—
1517C22×C4—1181no—
1518C22×C4—1181no—
1519C22×C4—1181no—
1520C22×C4—1181no—
1521C22×C4—1181no—
1522C22×C4—1181no—
1523C22×C4—1181no—
1524C22×C4—1181no—
1525C22×C4—1181no—
1526C22×C4—2364no—
1527C22×C4C23×D5911yescharacteristic
1528C22×C4C23×D5911yescharacteristic
1529SD16—41no—
1530SD16—41no—
1531SD16—2361no—
1532SD16—2361no—
1533SD16—2361no—
1534SD16—2361no—
1535D8—22no—
1536D8—1182no—
1537D8—1182no—
1538D8—1182no—
1539D8—2361no—
1540D8—2361no—
1541M16—41no—
1542M16—1182no—
1543M16—1182no—
1544M16—2361no—
1545M16—2361no—
1546M16—2361no—
1547C2×C8—41no—
1548C2×C8—591no—
1549C2×C8—591no—
1550C2×C8—591no—
1551C2×C8—591no—
1552C2×C8—1182no—
1553C2×C8—1182no—
1554C2×C8—2361no—
1555C2×C8—2361no—
1556C2×C8—2361no—
1557C2×C8C23×D5911yescharacteristic
1558C2×C8C23×D5911yescharacteristic
1559C2×C8C23×D5911yescharacteristic
1560C2×C8C23×D5911yescharacteristic
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—591no—
1569C4⋊C4—591no—
1570C4⋊C4—591no—
1571C4⋊C4—591no—
1572C4⋊C4—591no—
1573C4⋊C4—591no—
1574C4⋊C4—591no—
1575C4⋊C4—591no—
1576C4⋊C4—591no—
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⋊C4—1181no—
1586C4⋊C4—1181no—
1587C4⋊C4—1181no—
1588C4⋊C4—1181no—
1589C4⋊C4—1181no—
1590C4⋊C4—1181no—
1591C4⋊C4D4×D5911yescharacteristic
1592C4⋊C4C23×D5911yescharacteristic
1593C4⋊C4C23×D5911yescharacteristic
1594C4⋊C4C23×D5911yescharacteristic
1595C4⋊C4C23×D5911yescharacteristic
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—591no—
1604C22⋊C4—591no—
1605C22⋊C4—591no—
1606C22⋊C4—591no—
1607C22⋊C4—591no—
1608C22⋊C4—591no—
1609C22⋊C4—591no—
1610C22⋊C4—591no—
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⋊C4—1181no—
1627C22⋊C4—1181no—
1628C22⋊C4—1181no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4D4×D5911yescharacteristic
1640C22⋊C4D4×D5911yescharacteristic
1641C42—21no—
1642C42—591no—
1643C42—1181no—
1644C42—1181no—
1645C42—1181no—
1646C42—1181no—
1647C42—1181no—
1648C42—1181no—
1649C42C23×D5911yescharacteristic
1650C23—21no—
1651C23—21no—
1652C23—591no—
1653C23—591no—
1654C23—591no—
1655C23—1182no—
1656C23—1184no—
1657C23—1181no—
1658C23—1181no—
1659C23—1181no—
1660C23—4721no—
1661C23—4721no—
1662C23—4721no—
1663C23—4721no—
1664C23—4721no—
1665C23—4721no—
1666C23—4721no—
1667C23—4721no—
1668C23—2361no—
1669C23—2361no—
1670C23—2362no—
1671C23—2362no—
1672C23—2362no—
1673C23C2×D4×D5911yescharacteristic
1674C23C2×D4×D5911yescharacteristic
1675Q8—21no—
1676Q8—21no—
1677Q8—21no—
1678Q8—21no—
1679Q8—1182no—
1680Q8—1181no—
1681Q8—1181no—
1682Q8—4721no—
1683Q8—4721no—
1684Q8—2362no—
1685D4—21no—
1686D4—21no—
1687D4—21no—
1688D4—41no—
1689D4—42no—
1690D4—42no—
1691D4—42no—
1692D4—81no—
1693D4—592no—
1694D4—1182no—
1695D4—1184no—
1696D4—1182no—
1697D4—1182no—
1698D4—1181no—
1699D4—1181no—
1700D4—1181no—
1701D4—1181no—
1702D4—1181no—
1703D4—4721no—
1704D4—4721no—
1705D4—4721no—
1706D4—4721no—
1707D4—4721no—
1708D4—4721no—
1709D4—4721no—
1710D4—2361no—
1711D4—2362no—
1712D4—2362no—
1713D4—2362no—
1714D4—2362no—
1715D4—2362no—
1716D4—2361no—
1717D4—2361no—
1718D4—2362no—
1719D4—2362no—
1720D4—2362no—
1721D4—2362no—
1722D4#41×D5912yes—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—42no—
1734C2×C4—42no—
1735C2×C4—81no—
1736C2×C4—81no—
1737C2×C4—81no—
1738C2×C4—591no—
1739C2×C4—592no—
1740C2×C4—592no—
1741C2×C4—591no—
1742C2×C4—591no—
1743C2×C4—591no—
1744C2×C4—591no—
1745C2×C4—1182no—
1746C2×C4—1182no—
1747C2×C4—1182no—
1748C2×C4—1181no—
1749C2×C4—1181no—
1750C2×C4—1181no—
1751C2×C4—1181no—
1752C2×C4—1181no—
1753C2×C4—1181no—
1754C2×C4—1181no—
1755C2×C4—1181no—
1756C2×C4—1181no—
1757C2×C4—4721no—
1758C2×C4—4721no—
1759C2×C4—4721no—
1760C2×C4—4721no—
1761C2×C4—4721no—
1762C2×C4—4721no—
1763C2×C4—4721no—
1764C2×C4—4721no—
1765C2×C4—4721no—
1766C2×C4—2362no—
1767C2×C4—2362no—
1768C2×C4—2362no—
1769C2×C4—2362no—
1770C2×C4—2362no—
1771C2×C4—2362no—
1772C2×C4—2362no—
1773C2×C4C2×D4×D5911yescharacteristic
1774C2×C4C2×D4×D5911yescharacteristic
1775C2×C4C2×D4×D5911yescharacteristic
1776C2×C4C2×D4×D5911yescharacteristic
1777C2×C4C24×D5911yescharacteristic
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—1181no—
1783C8—1181no—
1784C8—1181no—
1785C8—1181no—
1786C22—21no—
1787C22—21no—
1788C22—22no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—21no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—592no—
1799C22—1181no—
1800C22—1181no—
1801C22—1181no—
1802C22—1181no—
1803C22—1182no—
1804C22—1181no—
1805C22—1181no—
1806C22—1181no—
1807C22—1181no—
1808C22—9442no—
1809C22—9442no—
1810C22—9442no—
1811C22—4724no—
1812C22—4722no—
1813C22—2361no—
1814C22—2361no—
1815C22—2361no—
1816C22—2361no—
1817C22—2361no—
1818C22—2361no—
1819C22—2361no—
1820C22—2361no—
1821C22C22×D4×D5911yescharacteristic
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—21no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—592no—
1833C4—1181no—
1834C4—1181no—
1835C4—1181no—
1836C4—1181no—
1837C4—2361no—
1838C4—2361no—
1839C4—2361no—
1840C4—2361no—
1841C4—2361no—
1842C4C2×#41×D5911yescharacteristic
1843C4H(5,𝔽2)×D5911yescharacteristic
1844C2—41no—
1845C2—41no—
1846C2—42no—
1847C2—81no—
1848C2—1182no—
1849C2—4721no—
1850C2—4721no—
1851C2—2361no—
1852C2—2361no—
1853C2—2362no—
1854C2#546×D5911yescharacteristic
1855C2#2143886811yescharacteristic
1856C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3307C2
socleC22×C59C23×D4
hypercenter#3307D59
hypocenterC59#61187
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3307

Complements

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

NH ≅ G/Ntype
1. #21437827C2semidirect
2. #21437735C2semidirect
3. #21436401C2semidirect
4. #21436396C2semidirect
5. #21436298C2semidirect
6. #21436291C2semidirect
7. #21436257C2semidirect
8. #21436255C2semidirect
9. #21436075C2semidirect
10. #21436071C2semidirect
11. #21436065C2semidirect
12. #21436059C2semidirect
13. #21436050C2semidirect
14. #21436027C2semidirect
15. #21436020C2semidirect
16. #21435952C2semidirect
17. #21435943C2semidirect
18. #21434462C2semidirect
19. #21434062C2semidirect
20. #21434010C2semidirect
21. #21433926C2semidirect
22. #21433730C2semidirect
23. #21433710C2semidirect
24. #21433603C2semidirect
25. #21433361C2semidirect
26. #449×D59C2semidirect
27. #21432945C2semidirect
28. #21432819C2semidirect
29. #21432618C2semidirect
30. #21432612C2semidirect
31. C59×#3307C2semidirect
35. C2×SD16×D59C22semidirect
38. C2×M16×D59C22semidirect
39. #16838117C22semidirect
40. #16838115C22semidirect
41. #16838105C22semidirect
42. #16838104C22semidirect
43. #16838100C22semidirect
46. #16838056C22semidirect
47. #16838055C22semidirect
48. #16838054C22semidirect
50. #16838052C22semidirect
51. #16838051C22semidirect
53. #16838048C22semidirect
55. #16838047C22semidirect
57. #16838043C22semidirect
60. #16838040C22semidirect
61. #16838032C22semidirect
75. #121×D59C22semidirect
78. #16837874C22semidirect
79. C2×#14273685C22semidirect
80. #16837769C22semidirect
81. #16837763C22semidirect
82. #16837762C22semidirect
83. #16837759C22semidirect
84. #16837758C22semidirect
85. #16837752C22semidirect
86. #16837751C22semidirect
87. #16837746C22semidirect
88. #16837743C22semidirect
89. #16837741C22semidirect
90. #16837741C22semidirect
91. #16837741C22semidirect
92. #16837739C22semidirect
93. #16837735C22semidirect
94. #16837735C22semidirect
95. #16837733C22semidirect
96. #16837731C22semidirect
97. #16837728C22semidirect
98. #16837728C22semidirect
99. #16837721C22semidirect
100. #16837715C22semidirect
101. #16837704C22semidirect
102. #16837701C22semidirect
103. #16837699C22semidirect
104. #16837693C22semidirect
105. #16837690C22semidirect
106. #16837682C22semidirect
107. #16837681C22semidirect
108. #16837655C22semidirect
109. #16837653C22semidirect
110. #16837651C22semidirect
111. #16837650C22semidirect
112. #16837650C22semidirect
113. #16837647C22semidirect
114. #16837646C22semidirect
115. #16837639C22semidirect
116. #16837637C22semidirect
117. #16837634C22semidirect
118. #16837632C22semidirect
119. #16837631C22semidirect
120. #16837628C22semidirect
121. #16837628C22semidirect
122. #16837620C22semidirect
123. #16837619C22semidirect
124. #16837618C22semidirect
125. #16837617C22semidirect
126. #16837606C22semidirect
127. #16837605C22semidirect
128. #16837604C22semidirect
129. #16837550C22semidirect
130. #16837550C22semidirect
131. #16837549C22semidirect
132. #16837548C22semidirect
133. #16837547C22semidirect
134. #16837547C22semidirect
135. #16837546C22semidirect
136. #16837546C22semidirect
137. #16837545C22semidirect
138. #16837544C22semidirect
139. #16837538C22semidirect
140. #16837537C22semidirect
141. #16837535C22semidirect
142. #16837534C22semidirect
143. #16837515C22semidirect
144. #16837514C22semidirect
145. #16837513C22semidirect
146. C4×#11745669C22semidirect
147. C4×#11745669C22semidirect
148. #16837482C22semidirect
149. #16837482C22semidirect
150. #16837480C22semidirect
151. #16837478C22semidirect
152. #16837476C22semidirect
153. #16837476C22semidirect
154. #16837475C22semidirect
155. #16837467C22semidirect
156. C8×C22⋊D59C22semidirect
157. #16837443C22semidirect
158. #16837437C22semidirect
159. #16837437C22semidirect
160. #16837427C22semidirect
161. #16837409C22semidirect
162. #16837409C22semidirect
163. #16837406C22semidirect
166. #16837405C22semidirect
167. #16837405C22semidirect
168. #16837404C22semidirect
169. #16837403C22semidirect
170. #16837403C22semidirect
172. #16837402C22semidirect
173. #16837401C22semidirect
176. #16837397C22semidirect
177. #16837397C22semidirect
178. #16837397C22semidirect
179. #16837395C22semidirect
180. #16837395C22semidirect
181. #103×D59C22semidirect
182. C2×#14273649C22semidirect
184. #102×D59C22semidirect
186. C22⋊C8×D59C22semidirect
187. #16837359C22semidirect
188. C59×#553C22semidirect
189. C59×#547C22semidirect
190. C59×#491C22semidirect
191. C59×#485C22semidirect
192. C59×#483C22semidirect
193. C59×#478C22semidirect
194. C59×#468C22semidirect
195. C59×#465C22semidirect
196. C59×#461C22semidirect
197. C59×#449C22semidirect
198. C59×#449C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C59×#416C22semidirect
554. D4×D59#41semidirect
927. #3307D59semidirect
972. #553C2×D59semidirect
982. #547C2×D59semidirect
1011. #491C2×D59semidirect
1023. #485C2×D59semidirect
1029. #483C2×D59semidirect
1037. #478C2×D59semidirect
1049. #468C2×D59semidirect
1057. #465C2×D59semidirect
1065. #461C2×D59semidirect
1076. #449C2×D59semidirect
1077. #449C2×D59semidirect
1085. #442C2×D59semidirect
1095. #435C2×D59semidirect
1115. #417C2×D59semidirect
1123. #416C2×D59semidirect
1131. C59#61187semidirect

Maximal subgroups

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

subgroupindex
#214378272
#214377352
#214364012
#214363962
#214362982
#214362912
#214362572
#214362552
#214360752
#214360712
#214360652
#214360592
#214360502
#214360272
#214360202
#214359522
#214359432
#214344622
#214340622
#214340102
#214339262
#214337302
#214337102
#214336032
#214333612
#449×D592
#214329452
#214328192
#214326182
#214326122
C59×#33072
#6118759