Finite Group Databasebeta

← #29466066

Subgroups — #29466066

Order 15104.

2106 conjugacy classes of subgroups.

The subgroup lattice has 1838 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437820C211yesmaximal, characteristic, complemented
2#21437773C211yesmaximal, characteristic, complemented
3#21436279C211yesmaximal, characteristic, complemented
4#21436275C211yesmaximal, characteristic, complemented
5#21436271C211yesmaximal, characteristic, complemented
6#21436267C211yesmaximal, characteristic, complemented
7#21436079C211yesmaximal, characteristic, complemented
8#21436075C211yesmaximal, characteristic, complemented
9#21436055C211yesmaximal, characteristic, complemented
10#21436051C211yesmaximal, characteristic, complemented
11#21436023C211yesmaximal, characteristic, complemented
12#21436019C211yesmaximal, characteristic, complemented
13#21436003C211yesmaximal, characteristic, complemented
14#21435994C211yesmaximal, characteristic, complemented
15#21435957C211yesmaximal, characteristic, complemented
16#21435952C211yesmaximal, characteristic, complemented
17#21435948C211yesmaximal, characteristic, complemented
18#21434456C211yesmaximal, characteristic, complemented
19#21434080C211yesmaximal, characteristic, complemented
20#21434039C211yesmaximal, characteristic, complemented
21#21433955C211yesmaximal, characteristic, complemented
22#21433769C211yesmaximal, characteristic, complemented
23#465×D59C211yesmaximal, characteristic, complemented
24#21433603C211yesmaximal, characteristic, complemented
25#21433377C211yesmaximal, characteristic, complemented
26#21433347C211yesmaximal, characteristic, complemented
27#21432923C211yesmaximal, characteristic, complemented
28#21432785C211yesmaximal, characteristic, complemented
29#21432624C211yesmaximal, characteristic, complemented
30C2×#16837397C211yesmaximal, characteristic, complemented
31C59×#3298C211yesmaximal, characteristic, complemented
32C2×#14273775C2211yescharacteristic
33C22×#11745689C2211yescharacteristic
34C2×#14273754C2211yescharacteristic
35C2×#14273754C2211yescharacteristic
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×#14273733C2211yescharacteristic, complemented
38C22×C8×D59C2211yescharacteristic
39#16838118C2211yescharacteristic, complemented
40#16838116C2211yescharacteristic, complemented
41#16838104C2211yescharacteristic
42#16838102C2211yescharacteristic, complemented
43#16838100C2211yescharacteristic, complemented
44#16838098C2211yescharacteristic
45#16838080—21no—
46#16838079—21no—
47Q8×C22⋊D59C2211yescharacteristic, complemented
48#16838064C2211yescharacteristic, complemented
49#16838063C2211yescharacteristic, complemented
50#16838055—21no—
51#16838055C2211yescharacteristic, complemented
52#16838054—21no—
53#16838054C2211yescharacteristic, complemented
54#16838053C2211yescharacteristic
55#16838048—21no—
56#16838048C2211yescharacteristic, complemented
57#16838044—21no—
58#16838043—21no—
59#16838043C2211yescharacteristic, complemented
60#16838040—21no—
61#16838029C2211yescharacteristic, complemented
62#16838022—21no—
63#16838004—21no—
64#16837982—21no—
65#16837982C2211yescharacteristic
66#16837977—21no—
67#16837977C2211yescharacteristic
68#16837968C2211yescharacteristic, complemented
69#16837948—21no—
70#16837929—21no—
71#16837911—21no—
72#16837911C2211yescharacteristic
73C22⋊Q8×D59—21no—
74C22⋊Q8×D59C2211yescharacteristic
75#121×D59C2211yescharacteristic
76#16837884C2211yescharacteristic
77#16837883C2211yescharacteristic, complemented
78#16837874C2211yescharacteristic, complemented
79C2×#14273685C2211yescharacteristic
80#16837770C2211yescharacteristic, complemented
81#16837769C2211yescharacteristic, complemented
82#16837764C2211yescharacteristic, complemented
83#16837763C2211yescharacteristic, complemented
84#16837758C2211yescharacteristic, complemented
85#16837757C2211yescharacteristic, complemented
86#16837751C2211yescharacteristic, complemented
87#16837746C2211yescharacteristic, complemented
88#16837746C2211yescharacteristic, complemented
89#16837742C2211yescharacteristic, complemented
90#16837742C2211yescharacteristic, complemented
91#16837742C2211yescharacteristic, complemented
92#16837740C2211yescharacteristic, complemented
93#16837738C2211yescharacteristic, complemented
94#16837735C2211yescharacteristic, complemented
95#16837732C2211yescharacteristic, complemented
96#16837731C2211yescharacteristic, complemented
97#16837728C2211yescharacteristic, complemented
98#16837727C2211yescharacteristic, complemented
99#16837722C2211yescharacteristic, complemented
100#16837720C2211yescharacteristic, complemented
101#16837711C2211yescharacteristic, complemented
102#16837709C2211yescharacteristic, complemented
103#16837703C2211yescharacteristic, complemented
104#16837701C2211yescharacteristic, complemented
105#16837691C2211yescharacteristic, complemented
106#16837689C2211yescharacteristic, complemented
107#16837685C2211yescharacteristic, complemented
108#16837656C2211yescharacteristic, complemented
109#16837653C2211yescharacteristic, complemented
110#16837650C2211yescharacteristic, complemented
111#16837645C2211yescharacteristic, complemented
112#16837638C2211yescharacteristic, complemented
113#16837637C2211yescharacteristic, complemented
114#16837634C2211yescharacteristic, complemented
115#16837634C2211yescharacteristic, complemented
116#16837633C2211yescharacteristic
117#16837632C2211yescharacteristic, complemented
118#16837631C2211yescharacteristic
119#16837630C2211yescharacteristic, complemented
120#16837629C2211yescharacteristic
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
130#16837550C2211yescharacteristic
131#16837550C2211yescharacteristic, complemented
132#16837549C2211yescharacteristic, complemented
133#16837546C2211yescharacteristic
134#16837546C2211yescharacteristic
135#16837546C2211yescharacteristic, complemented
136#16837545C2211yescharacteristic, complemented
137#16837542C2211yescharacteristic, complemented
138#16837541C2211yescharacteristic
139#16837541C2211yescharacteristic, complemented
140#16837539C2211yescharacteristic, complemented
141#16837538C2211yescharacteristic
142#16837535C2211yescharacteristic
143#16837513C2211yescharacteristic, complemented
144#16837512C2211yescharacteristic, complemented
145#16837503C2211yescharacteristic, complemented
146#16837500C2211yescharacteristic, complemented
147#16837487C2211yescharacteristic, complemented
148C4×D472C2211yescharacteristic, complemented
149#16837482C2211yescharacteristic, complemented
150#16837476C2211yescharacteristic, complemented
151#16837474C2211yescharacteristic, complemented
152#16837472C2211yescharacteristic, complemented
153#16837470C2211yescharacteristic, complemented
154C8×D236C2211yescharacteristic, complemented
155C8×C22⋊D59C2211yescharacteristic, complemented
156C8×C22⋊D59C2211yescharacteristic, complemented
157#16837441C2211yescharacteristic, complemented
158#16837441C2211yescharacteristic, complemented
159#106×D59C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837411C2211yescharacteristic, complemented
162#16837409C2211yescharacteristic, complemented
163#16837409C2211yescharacteristic, complemented
164#16837409C2211yescharacteristic, complemented
165#16837402C2211yescharacteristic
166#16837402C2211yescharacteristic
167#16837402C2211yescharacteristic, complemented
168#16837401C2211yescharacteristic, complemented
169#16837399C2211yescharacteristic, complemented
170#16837397C2211yescharacteristic
171#16837397C2211yescharacteristic
172#16837397C2211yescharacteristic
173#16837397C2211yescharacteristic
174#16837397C2211yescharacteristic, complemented
175#16837397C2211yescharacteristic, complemented
176#16837397C2211yescharacteristic, complemented
177#16837397C2211yescharacteristic, complemented
178#16837397C2211yescharacteristic, complemented
179C2×#14273651C2211yescharacteristic, complemented
180#103×D59C2211yescharacteristic, complemented
181#103×D59C2211yescharacteristic, complemented
182C2×#14273649C2211yescharacteristic, complemented
183C2×#14273647C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic
187#16837356C2211yescharacteristic, complemented
188D4×Q8×C59C2211yescharacteristic, complemented
189C59×#547C2211yescharacteristic
190C59×#487C2211yescharacteristic, complemented
191C59×#483C2211yescharacteristic, complemented
192C59×#483C2211yescharacteristic, complemented
193C59×#475C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic
195C59×#465C2211yescharacteristic, complemented
196C59×#461C2211yescharacteristic, complemented
197C59×#448C2211yescharacteristic
198C59×#448C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C8×D4×C59C2211yescharacteristic, complemented
201C2×#103×C59C2211yescharacteristic, complemented
202C2×#103×C59C2211yescharacteristic, complemented
203#14273775—24no—
204#14273775—42no—
205C2×#11745689—21no—
206C2×#11745689—21no—
207C2×#11745689—21no—
208C2×#11745689—24no—
209C2×#11745689—42no—
210C2×#11745689C2311yescharacteristic
211C2×#11745689C2311yescharacteristic
212C2×#11745689C2311yescharacteristic
213C2×#11745689C2311yescharacteristic
214C2×#11745689C2311yescharacteristic
215C2×#11745685—21no—
216C2×#11745685—21no—
217C2×#11745685—21no—
218C2×#11745685C2311yescharacteristic
219C2×#11745685C2311yescharacteristic
220C2×Q8×D59—21no—
221C2×Q8×D59C2311yescharacteristic
222C2×Q8×D59C2311yescharacteristic
223C22×D236—21no—
224C22×D236C2311yescharacteristic
225C2×D4×D59—21no—
226C2×D4×D59C2311yescharacteristic
227C22×C4×D59—21no—
228C22×C4×D59C2311yescharacteristic
229#14273754—24no—
230#14273754—42no—
231C2×#11745660C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235C2×#11745671C2311yescharacteristic
236SD16×D59—42no—
237C2×D472C2311yescharacteristic
238C2×D472C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241#14273733—42no—
242C2×#11745664C2311yescharacteristic
243C2×#11745659C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C22×C59⋊C8C2311yescharacteristic
247C2×C8×D59—42no—
248C2×C8×D59C2311yescharacteristic
249C2×C8×D59C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253#14273726C2311yescharacteristic
254#14273725—21no—
255#14273725—21no—
256#14273725C2311yescharacteristic
257#14273723—21no—
258#14273722—21no—
259#14273722—21no—
260#14273720—21no—
261#14273720—21no—
262#14273719C2311yescharacteristic
263#14273718C2311yescharacteristic
264#14273717—21no—
265#14273716—21no—
266#14273716—21no—
267#14273716—21no—
268#14273716C2311yescharacteristic
269#14273715—21no—
270#14273715C2311yescharacteristic
271#14273714—21no—
272#14273713—21no—
273#14273713—21no—
274#14273712—21no—
275#14273712—21no—
276#14273712—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712D411yescharacteristic
284#14273711—21no—
285#14273710—21no—
286#14273710—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709D411yescharacteristic
290#14273707—21no—
291#14273707C2311yescharacteristic
292#14273706—21no—
293#14273706C2311yescharacteristic
294#14273705—21no—
295#14273705—21no—
296#14273705—21no—
297#14273705—21no—
298#14273705—21no—
299#14273705—21no—
300#14273705D411yescharacteristic
301#14273704—21no—
302#14273704D411yescharacteristic
303#14273703—21no—
304#14273703—21no—
305#14273703—21no—
306#14273703C2311yescharacteristic
307#14273703C2311yescharacteristic
308#14273702—21no—
309#14273702—21no—
310#14273702—21no—
311#14273702—21no—
312#14273702—21no—
313#14273702C2311yescharacteristic
314#14273702C2311yescharacteristic
315#14273702C2311yescharacteristic
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#14273700—21no—
326#14273700—21no—
327#14273700D411yescharacteristic
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273699—21no—
332#14273699D411yescharacteristic
333#14273698C2311yescharacteristic
334#14273698C2311yescharacteristic
335#14273697—21no—
336#14273697—21no—
337#14273697D411yescharacteristic
338#14273695—21no—
339#14273695—21no—
340#14273695D411yescharacteristic
341Q8×Dic59C2311yescharacteristic
342#14273692—21no—
343C4×D236—21no—
344C4×D236—21no—
345C4×D236C2311yescharacteristic
346C4×D236C2311yescharacteristic
347C4×D236C2311yescharacteristic
348D4×Dic59—21no—
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⋊D59—21no—
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59C2311yescharacteristic
362C4×C22⋊D59C2311yescharacteristic
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365#14273686C2311yescharacteristic
366#14273685—21no—
367#14273685—21no—
368#14273685—21no—
369#14273685C2311yescharacteristic
370#14273685C2311yescharacteristic
371#14273685C2311yescharacteristic
372#14273685C2311yescharacteristic
373#14273685C2311yescharacteristic
374#14273684—21no—
375#14273684C2311yescharacteristic
376#14273683—21no—
377C2×C4⋊Dic59C2311yescharacteristic
378C4⋊C4×D59—21no—
379C4⋊C4×D59—21no—
380C4⋊C4×D59—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59C2311yescharacteristic
383C4⋊C4×D59C2311yescharacteristic
384C4⋊C4×D59C2311yescharacteristic
385C2×(C2×D59)⋊C4—21no—
386C2×(C2×D59)⋊C4—21no—
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#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441#14273638C2311yescharacteristic
442#14273637C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C2×#41×C59—21no—
445C22×Q8×C59C2311yescharacteristic
446C22×Q8×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C22×C8×C59C2311yescharacteristic
451C22×C8×C59C2311yescharacteristic
452C4⋊Q8×C59—21no—
453C4⋊Q8×C59C2311yescharacteristic
454C4⋊Q8×C59C2311yescharacteristic
455#123×C59—21no—
456#123×C59—21no—
457C22⋊Q8×C59—21no—
458C22⋊Q8×C59—21no—
459C22⋊Q8×C59—21no—
460C22⋊Q8×C59C2311yescharacteristic
461C22⋊Q8×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463#121×C59C2311yescharacteristic
464C4×Q8×C59C2311yescharacteristic
465C4×D4×C59—21no—
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468C2×C4⋊C4×C59C2311yescharacteristic
469C2×C4⋊C4×C59C2311yescharacteristic
470#106×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#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486C4×C8×C59C2311yescharacteristic
487C23×D59—21no—
488C23×D59—21no—
489C23×D59C2×D411yescharacteristic
490#41×C59—82no—
491C2×Q8×C59—21no—
492C2×Q8×C59—21no—
493C2×Q8×C59—21no—
494C2×Q8×C59—22no—
495C2×Q8×C59—22no—
496C2×Q8×C59—41no—
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×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⋊D59C2×D411yescharacteristic
520C2×C22⋊D59C2×D411yescharacteristic
521C2×C22⋊D59C2×D411yescharacteristic
522C2×C22⋊D59C2×D411yescharacteristic
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59C2×D411yescharacteristic
526#11745689—22no—
527#11745689—22no—
528#11745689—22no—
529#11745689—22no—
530#11745689—22no—
531#11745689—22no—
532#11745689—44no—
533#11745689—41no—
534#11745689—41no—
535#11745689—41no—
536#11745689—44no—
537#11745689—44no—
538#11745689#4114yescomplemented
539Q8×D59—22no—
540Q8×D59—22no—
541Q8×D59—22no—
542Q8×D59—41no—
543Q8×D59—44no—
544D4×D59—22no—
545D4×D59—22no—
546D4×D59—82no—
547#11745685—22no—
548#11745685—22no—
549#11745685—22no—
550#11745685—41no—
551#11745685—44no—
552#11745685—44no—
553#11745685—82no—
554C2×D236—21no—
555C2×D236—22no—
556C2×D236—21no—
557C2×D236—21no—
558C2×D236—21no—
559C2×D236—21no—
560C2×D236—21no—
561C2×D236—21no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236—41no—
565C2×D236—44no—
566C2×D236C2×D411yescharacteristic
567C2×D236C2×D411yescharacteristic
568C2×D236C2411yescharacteristic
569C2×D236C2411yescharacteristic
570C2×D236C2411yescharacteristic
571C2×C4×D59—21no—
572C2×C4×D59—22no—
573C2×C4×D59—22no—
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—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—44no—
589C2×C4×D59C2×D411yescharacteristic
590C2×C4×D59C2×D411yescharacteristic
591C2×C4×D59C2411yescharacteristic
592C2×C4×D59C2411yescharacteristic
593C2×C4×D59C2411yescharacteristic
594C2×Dic118—21no—
595C2×Dic118—21no—
596C2×Dic118—21no—
597C2×Dic118C2×D411yescharacteristic
598C2×Dic118C2411yescharacteristic
599SD16×C59—22no—
600SD16×C59—41no—
601SD16×C59—41no—
602C2×C8×C59—41no—
603C2×C8×C59—41no—
604C2×C8×C59C2411yescharacteristic
605C2×C8×C59C2411yescharacteristic
606C2×C8×C59C2411yescharacteristic
607C2×C8×C59C2411yescharacteristic
608C4⋊C4×C59—21no—
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×C59C2×D411yescharacteristic
627C22⋊C4×C59C2×D411yescharacteristic
628C42×C59—21no—
629C42×C59C2411yescharacteristic
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59C2×D411yescharacteristic
636C22⋊Dic59C2×D411yescharacteristic
637#11745671—22no—
638#11745671—41no—
639#11745671—41no—
640#11745670—41no—
641#11745669—22no—
642#11745669—41no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊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)⋊C4C2×D411yescharacteristic
666(C2×D59)⋊C4C2×D411yescharacteristic
667(C2×D59)⋊C4C2×D411yescharacteristic
668(C2×D59)⋊C4C2×D411yescharacteristic
669(C2×D59)⋊C4C2×D411yescharacteristic
670(C2×D59)⋊C4C2×D411yescharacteristic
671C4⋊Dic59—21no—
672C4⋊Dic59—21no—
673C4⋊Dic59—21no—
674C4⋊Dic59—21no—
675C4⋊Dic59C2×D411yescharacteristic
676C4⋊Dic59C2411yescharacteristic
677C4⋊Dic59C2411yescharacteristic
678C4⋊Dic59C2411yescharacteristic
679C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
692Dic59⋊C4C2×D411yescharacteristic
693Dic59⋊C4C2×D411yescharacteristic
694Dic59⋊C4C2×D411yescharacteristic
695Dic59⋊C4C2×D411yescharacteristic
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—
705C2×C59⋊C8—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×C59C22×D411yescharacteristic
723C23×C59C22×D411yescharacteristic
724C22×D59—22no—
725C22×D59—21no—
726C22×D59—22no—
727C22×D59—21no—
728C22×D59—21no—
729C22×D59—41no—
730C22×D59—42no—
731C22×D59—42no—
732C22×D59—42no—
733C22×D59—81no—
734C22×D59—81no—
735C22×D59—81no—
736C22×D59C22×D411yescharacteristic
737C22×D59C22×D411yescharacteristic
738C22×D59C22×D411yescharacteristic
739Q8×C59—21no—
740Q8×C59—21no—
741Q8×C59—21no—
742Q8×C59—21no—
743Q8×C59—21no—
744Q8×C59—42no—
745Q8×C59—42no—
746Q8×C59—81no—
747Q8×C59C2×#4112yes—
748D4×C59—22no—
749D4×C59—21no—
750D4×C59—21no—
751D4×C59—42no—
752D4×C59—81no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—42no—
765C2×C4×C59—42no—
766C2×C4×C59—42no—
767C2×C4×C59—81no—
768C2×C4×C59—81no—
769C2×C4×C59C22×D411yescharacteristic
770C2×C4×C59C22×D411yescharacteristic
771C2×C4×C59C22×D411yescharacteristic
772C2×C4×C59C22×D411yescharacteristic
773C2×C4×C59C2511yescharacteristic
774C22⋊D59—22no—
775C22⋊D59—22no—
776C22⋊D59—22no—
777C22⋊D59—41no—
778C22⋊D59—42no—
779C22⋊D59—42no—
780C22⋊D59—42no—
781C22⋊D59—81no—
782C22⋊D59—81no—
783C22⋊D59—81no—
784C22⋊D59—81no—
785C2×Dic59—22no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—81no—
792C2×Dic59—81no—
793C2×Dic59C22×D411yescharacteristic
794C2×Dic59C22×D411yescharacteristic
795C2×Dic59C22×D411yescharacteristic
796C2×Dic59C22×D411yescharacteristic
797C2×Dic59C22×D411yescharacteristic
798D236—24no—
799D236—22no—
800D236—21no—
801D236—21no—
802D236—21no—
803D236—21no—
804D236—21no—
805D236—41no—
806D236—42no—
807D236—42no—
808D236—42no—
809D236—42no—
810D236—42no—
811D236—81no—
812D236—81no—
813D236—81no—
814D236C2×#4112yes—
815C4×D59—22no—
816C4×D59—21no—
817C4×D59—21no—
818C4×D59—21no—
819C4×D59—21no—
820C4×D59—22no—
821C4×D59—24no—
822C4×D59—42no—
823C4×D59—42no—
824C4×D59—42no—
825C4×D59—42no—
826C4×D59—42no—
827C4×D59—42no—
828C4×D59—42no—
829C4×D59—81no—
830C4×D59—81no—
831C4×D59—81no—
832C4×D59—81no—
833C4×D59—81no—
834C4×D59—81no—
835C4×D59—81no—
836C4×D59C2×#4112yes—
837C4×D59H(5,𝔽2)12yes—
838Dic118—22no—
839Dic118—21no—
840Dic118—21no—
841Dic118—42no—
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#61174—591nomaximal, Sylow
853C22×C59—21no—
854C22×C59—21no—
855C22×C59—21no—
856C22×C59—21no—
857C22×C59—21no—
858C22×C59—41no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59#57712yes—
862C22×C59C23×D411yescharacteristic
863C2×D59—21no—
864C2×D59—21no—
865C2×D59—21no—
866C2×D59—21no—
867C2×D59—21no—
868C2×D59—22no—
869C2×D59—21no—
870C2×D59—21no—
871C2×D59—21no—
872C2×D59—44no—
873C2×D59—41no—
874C2×D59—41no—
875C2×D59—41no—
876C2×D59—41no—
877C2×D59—41no—
878C2×D59—41no—
879C2×D59—41no—
880C2×D59—41no—
881C2×D59—84no—
882C2×D59—162no—
883C2×D59#54612yes—
884C4×C59—21no—
885C4×C59—21no—
886C4×C59—22no—
887C4×C59—21no—
888C4×C59—21no—
889C4×C59—41no—
890C4×C59—41no—
891C4×C59—41no—
892C4×C59—41no—
893C4×C59—41no—
894C4×C59—41no—
895C4×C59C22×#4111yescharacteristic
896C4×C59C2×H(5,𝔽2)11yescharacteristic
897Dic59—21no—
898Dic59—21no—
899Dic59—21no—
900Dic59—21no—
901Dic59—41no—
902Dic59—41no—
903Dic59—41no—
904Dic59—41no—
905Dic59—41no—
906Dic59#54612yes—
907#3494—591no—
908#3489—591no—
909#3321—591no—
910#3321—591no—
911#3320—591no—
912#3320—591no—
913#3307—591no—
914#3307—591no—
915#3306—591no—
916#3306—591no—
917#3303—591no—
918#3303—591no—
919#3301—591no—
920#3301—591no—
921#3298—591no—
922#3298D5911yescharacteristic, complemented
923#3297—591no—
924#3297—591no—
925#3137—591no—
926#3099—591no—
927#3095—591no—
928#3084—591no—
929#3062—591no—
930C2×#465—591no—
931#3042—591no—
932#3010—591no—
933#3006—591no—
934#2946—591no—
935#2929—591no—
936#2898—591no—
937C2×#416—591no—
938C2×C59—22no—
939C2×C59—41no—
940C2×C59—81no—
941C2×C59C2×#54611yescharacteristic
942C2×C59C2×#57711yescharacteristic
943C2×C59#358411yescharacteristic
944D59—22no—
945D59—41no—
946D59—41no—
947D59—42no—
948D59—81no—
949D59—81no—
950C2×2−1+4—591no—
951C22×#41—591no—
952C2×AGL(1,ℤ/8)—591no—
953C2×AGL(1,ℤ/8)—591no—
954C22×SD16—591no—
955C2×#131—591no—
956C23×C8—591no—
957#555—591no—
958#555—591no—
959#553—591no—
960#553—591no—
961#553—591no—
962#553—591no—
963#551—1181no—
964#551—1181no—
965D4×Q8—591no—
966D4×Q8C2×D5911yescharacteristic, complemented
967#548—591no—
968#548—591no—
969#547—591no—
970#547—591no—
971#547—591no—
972#547—1181no—
973#547—1181no—
974#547C2×D5911yescharacteristic
975#546—591no—
976#546—591no—
977#546—1181no—
978#546—1181no—
979#546—1181no—
980#546—1181no—
981#544—591no—
982#542—1181no—
983#540—1181no—
984#537—591no—
985#537—1181no—
986#536—591no—
987#536—1181no—
988#535—591no—
989#532—1181no—
990#529—1181no—
991#525—591no—
992#525—1181no—
993C2×C22⋊Q8—591no—
994C2×C22⋊Q8—1181no—
995C2×#121—591no—
996#520—591no—
997#520—591no—
998#518—591no—
999C2×#117—591no—
1000#491—591no—
1001#491—591no—
1002#489—591no—
1003#489—591no—
1004#488—591no—
1005#488—591no—
1006#487—591no—
1007#487C2×D5911yescharacteristic, complemented
1008#485—591no—
1009#485—591no—
1010#485—591no—
1011#485—591no—
1012#485—591no—
1013#485—591no—
1014#484—591no—
1015#484—591no—
1016#483—591no—
1017#483—591no—
1018#483C2×D5911yescharacteristic, complemented
1019#483C2×D5911yescharacteristic, complemented
1020#482—591no—
1021#482—591no—
1022#481—591no—
1023#481—591no—
1024#479—591no—
1025#479—591no—
1026#478—591no—
1027#478—591no—
1028#476—591no—
1029#476—591no—
1030#475—591no—
1031#475C2×D5911yescharacteristic, complemented
1032#469—591no—
1033#469—591no—
1034#468—591no—
1035#468—591no—
1036#466—591no—
1037#466—591no—
1038#465—591no—
1039#465—591no—
1040#465—591no—
1041#465—591no—
1042#465—591no—
1043#465—591no—
1044#465—591no—
1045#465—591no—
1046#465C2×D5911yescharacteristic
1047#465C2×D5911yescharacteristic, complemented
1048#463—591no—
1049#463—591no—
1050#463—591no—
1051#463—591no—
1052#461—591no—
1053#461—591no—
1054#461—591no—
1055#461C2×D5911yescharacteristic, complemented
1056#449—591no—
1057#449—591no—
1058#449—591no—
1059#449—591no—
1060#449—591no—
1061#449—591no—
1062#449—591no—
1063#449—591no—
1064#448—591no—
1065#448—591no—
1066#448—591no—
1067#448—591no—
1068#448C2×D5911yescharacteristic
1069#448C2×D5911yescharacteristic, complemented
1070#447—591no—
1071#447—591no—
1072#442—591no—
1073#442—591no—
1074#440—591no—
1075#440—591no—
1076C4×SD16—591no—
1077C4×SD16C2×D5911yescharacteristic, complemented
1078C4×D8—591no—
1079C4×D8—591no—
1080#435—591no—
1081#435—591no—
1082#435—591no—
1083#435—591no—
1084C8×D4—591no—
1085C8×D4—591no—
1086C8×D4—591no—
1087C8×D4C2×D5911yescharacteristic, complemented
1088#428—591no—
1089#428—591no—
1090C2×#106—591no—
1091#424—591no—
1092#419—591no—
1093#419—591no—
1094#419—591no—
1095#419—591no—
1096#417—591no—
1097#417—591no—
1098#417—591no—
1099#417—591no—
1100#416—591no—
1101#416—591no—
1102#416—591no—
1103#416—591no—
1104#416—591no—
1105#416—591no—
1106#416—591no—
1107#416—591no—
1108#416—591no—
1109#416—591no—
1110C2×#103—591no—
1111C2×#103—591no—
1112C2×#103—591no—
1113C2×#103C2×D5911yescharacteristic, complemented
1114C2×#103C2×D5911yescharacteristic, complemented
1115C2×#102—591no—
1116C2×#102—591no—
1117C2×#102—591no—
1118#408—591no—
1119#407—591no—
1120#405—591no—
1121C59#6117411yescharacteristic, complemented, Sylow
11222−1+4—1184no—
11232−1+4—2362no—
1124C2×#41—21no—
1125C2×#41—591no—
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—1181no—
1136C2×#41—1181no—
1137C2×#41—1181no—
1138C2×#41—1184no—
1139C2×#41—2362no—
1140C22×Q8—591no—
1141C22×Q8—591no—
1142C22×Q8—1181no—
1143C22×Q8C22×D5911yescharacteristic
1144C22×Q8C22×D5911yescharacteristic
1145C22×D4—591no—
1146C22×D4—591no—
1147C22×D4—1181no—
1148C22×D4—1181no—
1149C23×C4—591no—
1150C23×C4—1181no—
1151AGL(1,ℤ/8)—1184no—
1152AGL(1,ℤ/8)—2362no—
1153C2×SD16—591no—
1154C2×SD16—591no—
1155C2×SD16—591no—
1156C2×SD16—591no—
1157C2×SD16—591no—
1158C2×SD16—2362no—
1159C2×SD16C22×D5911yescharacteristic
1160C2×SD16C22×D5911yescharacteristic
1161C2×SD16C22×D5911yescharacteristic
1162C2×D8—591no—
1163C2×D8—591no—
1164C2×D8—591no—
1165C2×D8—591no—
1166#131—2362no—
1167C2×M16—591no—
1168C2×M16—591no—
1169C2×M16—591no—
1170C2×M16—591no—
1171C22×C8—591no—
1172C22×C8—591no—
1173C22×C8—591no—
1174C22×C8—591no—
1175C22×C8—591no—
1176C22×C8—591no—
1177C22×C8—2362no—
1178C22×C8C22×D5911yescharacteristic
1179C22×C8C22×D5911yescharacteristic
1180C4⋊Q8—21no—
1181C4⋊Q8—591no—
1182C4⋊Q8—591no—
1183C4⋊Q8—1181no—
1184C4⋊Q8—1181no—
1185C4⋊Q8C22×D5911yescharacteristic
1186C4⋊Q8C22×D5911yescharacteristic
1187#127—1181no—
1188#126—1181no—
1189#126—1181no—
1190#126—1181no—
1191#126—1181no—
1192#125—591no—
1193#125—591no—
1194#125—1181no—
1195#124—591no—
1196#124—591no—
1197#124—1181no—
1198#124—1181no—
1199#124—1181no—
1200#124—1181no—
1201#124—1181no—
1202#124—1181no—
1203#124—1181no—
1204#123—21no—
1205#123—21no—
1206#123—591no—
1207#123—591no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222C22⋊Q8—21no—
1223C22⋊Q8—21no—
1224C22⋊Q8—21no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—591no—
1229C22⋊Q8—591no—
1230C22⋊Q8—591no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8—1181no—
1236C22⋊Q8—1181no—
1237C22⋊Q8—1181no—
1238C22⋊Q8—1181no—
1239C22⋊Q8—1181no—
1240C22⋊Q8—1181no—
1241C22⋊Q8—1181no—
1242C22⋊Q8—1181no—
1243C22⋊Q8C22×D5911yescharacteristic
1244C22⋊Q8C22×D5911yescharacteristic
1245#121—591no—
1246#121—591no—
1247#121—591no—
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#121—1181no—
1272#121C22×D5911yescharacteristic
1273#121C22×D5911yescharacteristic
1274#120—591no—
1275#120—591no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279#120—1181no—
1280C4×Q8—591no—
1281C4×Q8—1181no—
1282C4×Q8C22×D5911yescharacteristic
1283C4×D4—21no—
1284C4×D4—591no—
1285C4×D4—591no—
1286C4×D4—591no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4C22×D5911yescharacteristic
1307C4×D4C22×D5911yescharacteristic
1308#117—591no—
1309#117—591no—
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—
1320C2×C4⋊C4—591no—
1321C2×C4⋊C4—591no—
1322C2×C4⋊C4—591no—
1323C2×C4⋊C4—591no—
1324C2×C4⋊C4—1181no—
1325C2×C4⋊C4—1181no—
1326C2×C4⋊C4—1181no—
1327C2×C4⋊C4—1181no—
1328C2×C4⋊C4C22×D5911yescharacteristic
1329C2×C4⋊C4C22×D5911yescharacteristic
1330C2×C22⋊C4—1181no—
1331C2×C22⋊C4—1181no—
1332C2×C22⋊C4—1181no—
1333C2×C22⋊C4—1181no—
1334C2×C22⋊C4—1181no—
1335C2×C22⋊C4—1181no—
1336C2×C22⋊C4—1181no—
1337C2×C42—1181no—
1338#107—591no—
1339#107—591no—
1340#107—591no—
1341#107—591no—
1342#106—591no—
1343#106—591no—
1344#106—591no—
1345#106—591no—
1346#106—591no—
1347#106C22×D5911yescharacteristic
1348#106C22×D5911yescharacteristic
1349#106C22×D5911yescharacteristic
1350C4⋊C8—591no—
1351C4⋊C8—591no—
1352C4⋊C8—591no—
1353C4⋊C8C22×D5911yescharacteristic
1354#103—591no—
1355#103—591no—
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#103—591no—
1366#103—591no—
1367#103—591no—
1368#103—591no—
1369#103C22×D5911yescharacteristic
1370#103C22×D5911yescharacteristic
1371#103C22×D5911yescharacteristic
1372#103C22×D5911yescharacteristic
1373#103C22×D5911yescharacteristic
1374#103C22×D5911yescharacteristic
1375#103C22×D5911yescharacteristic
1376#103C22×D5911yescharacteristic
1377#103C22×D5911yescharacteristic
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
1394C22⋊C8—591no—
1395C22⋊C8—591no—
1396C22⋊C8—591no—
1397C22⋊C8—591no—
1398C22⋊C8—591no—
1399C22⋊C8—591no—
1400C22⋊C8C22×D5911yescharacteristic
1401C22⋊C8C22×D5911yescharacteristic
1402#97—591no—
1403#97—591no—
1404C4×C8—591no—
1405C4×C8C22×D5911yescharacteristic
1406C24—591no—
1407C24—1181no—
1408C24—1181no—
1409#41—82no—
1410#41—594no—
1411#41—1182no—
1412#41—1182no—
1413#41—1182no—
1414#41—1182no—
1415#41—1182no—
1416#41—1182no—
1417#41—1182no—
1418#41—1182no—
1419#41—1182no—
1420#41—4722no—
1421#41—2361no—
1422#41—2364no—
1423#41—2364no—
1424#41—2364no—
1425#41—2361no—
1426#41—2361no—
1427#41—2361no—
1428#41—2364no—
1429#41—2364no—
1430C2×Q8—21no—
1431C2×Q8—21no—
1432C2×Q8—21no—
1433C2×Q8—22no—
1434C2×Q8—22no—
1435C2×Q8—41no—
1436C2×Q8—41no—
1437C2×Q8—591no—
1438C2×Q8—591no—
1439C2×Q8—1181no—
1440C2×Q8—1181no—
1441C2×Q8—1181no—
1442C2×Q8—1182no—
1443C2×Q8—1182no—
1444C2×Q8—1182no—
1445C2×Q8—2361no—
1446C2×Q8—2364no—
1447C2×Q8C23×D5911yescharacteristic
1448C2×Q8C23×D5911yescharacteristic
1449C2×Q8C23×D5911yescharacteristic
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—591no—
1453C2×D4—591no—
1454C2×D4—591no—
1455C2×D4—591no—
1456C2×D4—591no—
1457C2×D4—591no—
1458C2×D4—591no—
1459C2×D4—591no—
1460C2×D4—591no—
1461C2×D4—1182no—
1462C2×D4—1181no—
1463C2×D4—1181no—
1464C2×D4—1181no—
1465C2×D4—1181no—
1466C2×D4—1181no—
1467C2×D4—1181no—
1468C2×D4—1181no—
1469C2×D4—1181no—
1470C2×D4—1182no—
1471C2×D4—1182no—
1472C2×D4—1181no—
1473C2×D4—1181no—
1474C2×D4—1181no—
1475C2×D4—1181no—
1476C2×D4—1181no—
1477C2×D4—1181no—
1478C2×D4—1181no—
1479C2×D4—1181no—
1480C2×D4—4722no—
1481C2×D4—2361no—
1482C2×D4—2364no—
1483C2×D4D4×D5911yescharacteristic
1484C2×D4C23×D5911yescharacteristic
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—21no—
1488C22×C4—21no—
1489C22×C4—21no—
1490C22×C4—591no—
1491C22×C4—591no—
1492C22×C4—591no—
1493C22×C4—591no—
1494C22×C4—591no—
1495C22×C4—591no—
1496C22×C4—1181no—
1497C22×C4—1182no—
1498C22×C4—1182no—
1499C22×C4—1181no—
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—1181no—
1514C22×C4—1181no—
1515C22×C4—2364no—
1516C22×C4C23×D5911yescharacteristic
1517C22×C4C23×D5911yescharacteristic
1518SD16—22no—
1519SD16—41no—
1520SD16—41no—
1521SD16—1182no—
1522SD16—2361no—
1523SD16—2361no—
1524SD16—2361no—
1525SD16—2361no—
1526D8—1182no—
1527D8—1182no—
1528D8—2361no—
1529D8—2361no—
1530M16—1182no—
1531M16—1182no—
1532M16—2361no—
1533M16—2361no—
1534C2×C8—41no—
1535C2×C8—41no—
1536C2×C8—591no—
1537C2×C8—591no—
1538C2×C8—591no—
1539C2×C8—591no—
1540C2×C8—1182no—
1541C2×C8—1182no—
1542C2×C8—2361no—
1543C2×C8—2361no—
1544C2×C8—2361no—
1545C2×C8—2361no—
1546C2×C8C23×D5911yescharacteristic
1547C2×C8C23×D5911yescharacteristic
1548C2×C8C23×D5911yescharacteristic
1549C2×C8C23×D5911yescharacteristic
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—591no—
1559C4⋊C4—591no—
1560C4⋊C4—591no—
1561C4⋊C4—591no—
1562C4⋊C4—591no—
1563C4⋊C4—591no—
1564C4⋊C4—591no—
1565C4⋊C4—591no—
1566C4⋊C4—591no—
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⋊C4D4×D5911yescharacteristic
1584C4⋊C4C23×D5911yescharacteristic
1585C4⋊C4C23×D5911yescharacteristic
1586C4⋊C4C23×D5911yescharacteristic
1587C4⋊C4C23×D5911yescharacteristic
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—591no—
1594C22⋊C4—591no—
1595C22⋊C4—591no—
1596C22⋊C4—591no—
1597C22⋊C4—591no—
1598C22⋊C4—591no—
1599C22⋊C4—591no—
1600C22⋊C4—591no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
1609C22⋊C4—1181no—
1610C22⋊C4—1181no—
1611C22⋊C4—1181no—
1612C22⋊C4—1181no—
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4—1181no—
1617C22⋊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⋊C4D4×D5911yescharacteristic
1629C22⋊C4D4×D5911yescharacteristic
1630C42—21no—
1631C42—591no—
1632C42—1181no—
1633C42—1181no—
1634C42—1181no—
1635C42—1181no—
1636C42—1181no—
1637C42—1181no—
1638C42—1181no—
1639C42C23×D5911yescharacteristic
1640C23—21no—
1641C23—591no—
1642C23—591no—
1643C23—591no—
1644C23—1182no—
1645C23—1182no—
1646C23—1181no—
1647C23—1181no—
1648C23—1181no—
1649C23—4721no—
1650C23—4721no—
1651C23—4721no—
1652C23—2361no—
1653C23—2362no—
1654C23—2362no—
1655C23—2362no—
1656C23C2×D4×D5911yescharacteristic
1657C23C2×D4×D5911yescharacteristic
1658Q8—21no—
1659Q8—21no—
1660Q8—21no—
1661Q8—21no—
1662Q8—21no—
1663Q8—42no—
1664Q8—42no—
1665Q8—81no—
1666Q8—1182no—
1667Q8—1181no—
1668Q8—1181no—
1669Q8—4721no—
1670Q8—2362no—
1671Q8—2362no—
1672Q8#41×D5912yes—
1673D4—22no—
1674D4—21no—
1675D4—21no—
1676D4—42no—
1677D4—81no—
1678D4—592no—
1679D4—1182no—
1680D4—1184no—
1681D4—1182no—
1682D4—1182no—
1683D4—1182no—
1684D4—1181no—
1685D4—1181no—
1686D4—1181no—
1687D4—1181no—
1688D4—1181no—
1689D4—4721no—
1690D4—4721no—
1691D4—4721no—
1692D4—4721no—
1693D4—4721no—
1694D4—4721no—
1695D4—4721no—
1696D4—2361no—
1697D4—2362no—
1698D4—2362no—
1699D4—2362no—
1700D4—2362no—
1701D4—2362no—
1702D4—2362no—
1703D4—2361no—
1704D4—2362no—
1705D4—2362no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—42no—
1718C2×C4—42no—
1719C2×C4—42no—
1720C2×C4—81no—
1721C2×C4—81no—
1722C2×C4—591no—
1723C2×C4—592no—
1724C2×C4—592no—
1725C2×C4—591no—
1726C2×C4—591no—
1727C2×C4—591no—
1728C2×C4—591no—
1729C2×C4—1182no—
1730C2×C4—1184no—
1731C2×C4—1182no—
1732C2×C4—1182no—
1733C2×C4—1181no—
1734C2×C4—1181no—
1735C2×C4—1181no—
1736C2×C4—1181no—
1737C2×C4—1181no—
1738C2×C4—1181no—
1739C2×C4—1181no—
1740C2×C4—1181no—
1741C2×C4—1181no—
1742C2×C4—4721no—
1743C2×C4—4721no—
1744C2×C4—4721no—
1745C2×C4—4721no—
1746C2×C4—4721no—
1747C2×C4—4721no—
1748C2×C4—4721no—
1749C2×C4—4721no—
1750C2×C4—4721no—
1751C2×C4—2362no—
1752C2×C4—2362no—
1753C2×C4—2362no—
1754C2×C4—2362no—
1755C2×C4—2362no—
1756C2×C4—2362no—
1757C2×C4—2362no—
1758C2×C4C2×D4×D5911yescharacteristic
1759C2×C4C2×D4×D5911yescharacteristic
1760C2×C4C2×D4×D5911yescharacteristic
1761C2×C4C2×D4×D5911yescharacteristic
1762C2×C4C24×D5911yescharacteristic
1763C8—21no—
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—1181no—
1768C8—1181no—
1769C8—1181no—
1770C8—1181no—
1771C22—21no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—592no—
1780C22—1181no—
1781C22—1181no—
1782C22—1181no—
1783C22—1182no—
1784C22—1181no—
1785C22—1181no—
1786C22—1181no—
1787C22—1181no—
1788C22—1181no—
1789C22—9442no—
1790C22—4724no—
1791C22—2364no—
1792C22—2361no—
1793C22—2361no—
1794C22—2361no—
1795C22—2361no—
1796C22—2361no—
1797C22—2361no—
1798C22—2361no—
1799C22—2361no—
1800C22#1683820812yes—
1801C22C22×D4×D5911yescharacteristic
1802C4—21no—
1803C4—21no—
1804C4—22no—
1805C4—21no—
1806C4—21no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—592no—
1814C4—1181no—
1815C4—1181no—
1816C4—1181no—
1817C4—1181no—
1818C4—2361no—
1819C4—2361no—
1820C4—2361no—
1821C4—2361no—
1822C4—2361no—
1823C4C2×#41×D5911yescharacteristic
1824C4H(5,𝔽2)×D5911yescharacteristic
1825C2—22no—
1826C2—41no—
1827C2—81no—
1828C2—1182no—
1829C2—4721no—
1830C2—4721no—
1831C2—2361no—
1832C2—2361no—
1833C2—2362no—
1834C2#546×D5911yescharacteristic
1835C2C2×#1683820811yescharacteristic
1836C2#2143886611yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3298C2
socleC22×C59C23×D4
hypercenter#3298D59
hypocenterC59#61174
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3298

Complements

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

NH ≅ G/Ntype
1. #21437820C2semidirect
2. #21437773C2semidirect
3. #21436279C2semidirect
4. #21436275C2semidirect
5. #21436271C2semidirect
6. #21436267C2semidirect
7. #21436079C2semidirect
8. #21436075C2semidirect
9. #21436055C2semidirect
10. #21436051C2semidirect
11. #21436023C2semidirect
12. #21436019C2semidirect
13. #21436003C2semidirect
14. #21435994C2semidirect
15. #21435957C2semidirect
16. #21435952C2semidirect
17. #21435948C2semidirect
18. #21434456C2semidirect
19. #21434080C2semidirect
20. #21434039C2semidirect
21. #21433955C2semidirect
22. #21433769C2semidirect
23. #465×D59C2semidirect
24. #21433603C2semidirect
25. #21433377C2semidirect
26. #21433347C2semidirect
27. #21432923C2semidirect
28. #21432785C2semidirect
29. #21432624C2semidirect
30. C2×#16837397C2semidirect
31. C59×#3298C2semidirect
36. C2×SD16×D59C22semidirect
37. C2×#14273733C22semidirect
39. #16838118C22semidirect
40. #16838116C22semidirect
42. #16838102C22semidirect
43. #16838100C22semidirect
47. Q8×C22⋊D59C22semidirect
48. #16838064C22semidirect
49. #16838063C22semidirect
51. #16838055C22semidirect
53. #16838054C22semidirect
56. #16838048C22semidirect
59. #16838043C22semidirect
61. #16838029C22semidirect
68. #16837968C22semidirect
77. #16837883C22semidirect
78. #16837874C22semidirect
80. #16837770C22semidirect
81. #16837769C22semidirect
82. #16837764C22semidirect
83. #16837763C22semidirect
84. #16837758C22semidirect
85. #16837757C22semidirect
86. #16837751C22semidirect
87. #16837746C22semidirect
88. #16837746C22semidirect
89. #16837742C22semidirect
90. #16837742C22semidirect
91. #16837742C22semidirect
92. #16837740C22semidirect
93. #16837738C22semidirect
94. #16837735C22semidirect
95. #16837732C22semidirect
96. #16837731C22semidirect
97. #16837728C22semidirect
98. #16837727C22semidirect
99. #16837722C22semidirect
100. #16837720C22semidirect
101. #16837711C22semidirect
102. #16837709C22semidirect
103. #16837703C22semidirect
104. #16837701C22semidirect
105. #16837691C22semidirect
106. #16837689C22semidirect
107. #16837685C22semidirect
108. #16837656C22semidirect
109. #16837653C22semidirect
110. #16837650C22semidirect
111. #16837645C22semidirect
112. #16837638C22semidirect
113. #16837637C22semidirect
114. #16837634C22semidirect
115. #16837634C22semidirect
117. #16837632C22semidirect
119. #16837630C22semidirect
121. #16837628C22semidirect
122. #16837620C22semidirect
123. #16837619C22semidirect
124. #16837618C22semidirect
125. #16837617C22semidirect
126. #16837606C22semidirect
127. #16837605C22semidirect
128. #16837604C22semidirect
131. #16837550C22semidirect
132. #16837549C22semidirect
135. #16837546C22semidirect
136. #16837545C22semidirect
137. #16837542C22semidirect
139. #16837541C22semidirect
140. #16837539C22semidirect
143. #16837513C22semidirect
144. #16837512C22semidirect
145. #16837503C22semidirect
146. #16837500C22semidirect
147. #16837487C22semidirect
148. C4×D472C22semidirect
149. #16837482C22semidirect
150. #16837476C22semidirect
151. #16837474C22semidirect
152. #16837472C22semidirect
153. #16837470C22semidirect
154. C8×D236C22semidirect
155. C8×C22⋊D59C22semidirect
156. C8×C22⋊D59C22semidirect
157. #16837441C22semidirect
158. #16837441C22semidirect
159. #106×D59C22semidirect
160. #16837427C22semidirect
161. #16837411C22semidirect
162. #16837409C22semidirect
163. #16837409C22semidirect
164. #16837409C22semidirect
167. #16837402C22semidirect
168. #16837401C22semidirect
169. #16837399C22semidirect
174. #16837397C22semidirect
175. #16837397C22semidirect
176. #16837397C22semidirect
177. #16837397C22semidirect
178. #16837397C22semidirect
179. C2×#14273651C22semidirect
180. #103×D59C22semidirect
181. #103×D59C22semidirect
182. C2×#14273649C22semidirect
183. C2×#14273647C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
187. #16837356C22semidirect
188. D4×Q8×C59C22semidirect
190. C59×#487C22semidirect
191. C59×#483C22semidirect
192. C59×#483C22semidirect
193. C59×#475C22semidirect
195. C59×#465C22semidirect
196. C59×#461C22semidirect
198. C59×#448C22semidirect
199. C4×SD16×C59C22semidirect
200. C8×D4×C59C22semidirect
201. C2×#103×C59C22semidirect
202. C2×#103×C59C22semidirect
538. #11745689#41semidirect
922. #3298D59semidirect
966. D4×Q8C2×D59semidirect
1007. #487C2×D59semidirect
1018. #483C2×D59semidirect
1019. #483C2×D59semidirect
1031. #475C2×D59semidirect
1047. #465C2×D59semidirect
1055. #461C2×D59semidirect
1069. #448C2×D59semidirect
1077. C4×SD16C2×D59semidirect
1087. C8×D4C2×D59semidirect
1113. C2×#103C2×D59semidirect
1114. C2×#103C2×D59semidirect
1121. C59#61174semidirect

Maximal subgroups

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

subgroupindex
#214378202
#214377732
#214362792
#214362752
#214362712
#214362672
#214360792
#214360752
#214360552
#214360512
#214360232
#214360192
#214360032
#214359942
#214359572
#214359522
#214359482
#214344562
#214340802
#214340392
#214339552
#214337692
#465×D592
#214336032
#214333772
#214333472
#214329232
#214327852
#214326242
C2×#168373972
C59×#32982
#6117459