Finite Group Databasebeta

← #29466240

Subgroups — #29466240

Order 15104.

2092 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#21437775C211yesmaximal, characteristic, complemented
3#21436399C211yesmaximal, characteristic, complemented
4#21436395C211yesmaximal, characteristic, complemented
5#21436387C211yesmaximal, characteristic, complemented
6#21436383C211yesmaximal, characteristic, complemented
7#21436349C211yesmaximal, characteristic, complemented
8#21436342C211yesmaximal, characteristic, complemented
9#21436304C211yesmaximal, characteristic, complemented
10#21436300C211yesmaximal, characteristic, complemented
11#21436272C211yesmaximal, characteristic, complemented
12#21436263C211yesmaximal, characteristic, complemented
13#21436258C211yesmaximal, characteristic, complemented
14#21436251C211yesmaximal, characteristic, complemented
15#21436088C211yesmaximal, characteristic, complemented
16#21436074C211yesmaximal, characteristic, complemented
17#21436067C211yesmaximal, characteristic, complemented
18#21434458C211yesmaximal, characteristic, complemented
19#21434069C211yesmaximal, characteristic, complemented
20#21434041C211yesmaximal, characteristic, complemented
21#21433944C211yesmaximal, characteristic, complemented
22#21433775C211yesmaximal, characteristic, complemented
23#468×D59C211yesmaximal, characteristic, complemented
24#21433606C211yesmaximal, characteristic, complemented
25#21433377C211yesmaximal, characteristic, complemented
26#21433345C211yesmaximal, characteristic, complemented
27#21432927C211yesmaximal, characteristic, complemented
28#21432794C211yesmaximal, characteristic, complemented
29#21432624C211yesmaximal, characteristic, complemented
30#21432612C211yesmaximal, characteristic, complemented
31C59×#3308C211yesmaximal, characteristic, complemented
32C2×#14273775C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273754C2211yescharacteristic
35C2×#14273751C2211yescharacteristic
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×#14273733C2211yescharacteristic, complemented
38C2×M16×D59C2211yescharacteristic
39#16838118C2211yescharacteristic
40#16838116C2211yescharacteristic
41#16838104C2211yescharacteristic, complemented
42#16838102C2211yescharacteristic
43#16838100C2211yescharacteristic
44#16838098C2211yescharacteristic, complemented
45#16838080—21no—
46#16838079—21no—
47Q8×D236C2211yescharacteristic, complemented
48Q8×C22⋊D59C2211yescharacteristic, complemented
49#16838059C2211yescharacteristic, complemented
50#16838057—21no—
51#16838057C2211yescharacteristic, complemented
52#16838054—21no—
53#16838054C2211yescharacteristic, complemented
54#16838053C2211yescharacteristic, complemented
55#16838049—21no—
56#16838049C2211yescharacteristic, complemented
57#16838045—21no—
58#16838045C2211yescharacteristic, complemented
59#16838044—21no—
60#16838040—21no—
61#16838029C2211yescharacteristic, complemented
62#16838022—21no—
63#16838004—21no—
64#16837981—21no—
65#16837981C2211yescharacteristic
66#16837972—21no—
67#16837972C2211yescharacteristic
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#16837771C2211yescharacteristic, complemented
81#16837769C2211yescharacteristic, complemented
82#16837760C2211yescharacteristic, complemented
83#16837756C2211yescharacteristic, complemented
84#16837755C2211yescharacteristic, complemented
85#16837754C2211yescharacteristic, complemented
86#16837751C2211yescharacteristic, complemented
87#16837745C2211yescharacteristic, complemented
88#16837745C2211yescharacteristic, complemented
89#16837745C2211yescharacteristic, complemented
90#16837744C2211yescharacteristic, complemented
91#16837741C2211yescharacteristic, complemented
92#16837741C2211yescharacteristic, complemented
93#16837739C2211yescharacteristic, complemented
94#16837737C2211yescharacteristic, complemented
95#16837737C2211yescharacteristic, complemented
96#16837733C2211yescharacteristic, complemented
97#16837730C2211yescharacteristic, complemented
98#16837725C2211yescharacteristic, complemented
99#16837723C2211yescharacteristic, complemented
100#16837714C2211yescharacteristic, complemented
101#16837709C2211yescharacteristic, complemented
102#16837707C2211yescharacteristic, complemented
103#16837705C2211yescharacteristic, complemented
104#16837703C2211yescharacteristic, complemented
105#16837695C2211yescharacteristic, complemented
106#16837681C2211yescharacteristic, complemented
107#16837679C2211yescharacteristic, complemented
108#16837653C2211yescharacteristic, complemented
109#16837652C2211yescharacteristic, complemented
110#16837651C2211yescharacteristic
111#16837650C2211yescharacteristic, complemented
112#16837649C2211yescharacteristic
113#16837649C2211yescharacteristic, complemented
114#16837648C2211yescharacteristic, complemented
115#16837647C2211yescharacteristic
116#16837646C2211yescharacteristic, complemented
117#16837646C2211yescharacteristic, complemented
118#16837645C2211yescharacteristic
119#16837637C2211yescharacteristic, complemented
120#16837631C2211yescharacteristic, complemented
121#16837630C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic, complemented
123#16837615C2211yescharacteristic, complemented
124#16837614C2211yescharacteristic, complemented
125#16837608C2211yescharacteristic, complemented
126#16837607C2211yescharacteristic, complemented
127#16837606C2211yescharacteristic, complemented
128#16837605C2211yescharacteristic, complemented
129#16837550C2211yescharacteristic, complemented
130#16837549C2211yescharacteristic
131#16837549C2211yescharacteristic, complemented
132#16837547C2211yescharacteristic
133#16837546C2211yescharacteristic, complemented
134#16837545C2211yescharacteristic
135#16837545C2211yescharacteristic, complemented
136#16837542C2211yescharacteristic
137#16837542C2211yescharacteristic, complemented
138#16837541C2211yescharacteristic, complemented
139#16837539C2211yescharacteristic
140#16837539C2211yescharacteristic, complemented
141#16837537C2211yescharacteristic
142#16837534C2211yescharacteristic
143#16837515C2211yescharacteristic, complemented
144#16837511C2211yescharacteristic, complemented
145#16837505C2211yescharacteristic, complemented
146SD16×Dic59C2211yescharacteristic, complemented
147C4×#11745671C2211yescharacteristic, complemented
148#16837484C2211yescharacteristic, complemented
149C4×#11745669C2211yescharacteristic, complemented
150#16837480C2211yescharacteristic, complemented
151#16837479C2211yescharacteristic, complemented
152#16837477C2211yescharacteristic, complemented
153#16837477C2211yescharacteristic, complemented
154#16837475C2211yescharacteristic, complemented
155#16837473C2211yescharacteristic, complemented
156#16837471C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837443C2211yescharacteristic, complemented
159#107×D59C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837411C2211yescharacteristic, complemented
162#16837409C2211yescharacteristic, complemented
163#16837409C2211yescharacteristic, complemented
164#16837409C2211yescharacteristic, complemented
165#16837409C2211yescharacteristic, complemented
166#16837409C2211yescharacteristic, complemented
167#16837405C2211yescharacteristic, complemented
168#16837405C2211yescharacteristic, complemented
169#16837404C2211yescharacteristic, complemented
170#16837403C2211yescharacteristic, complemented
171#16837402C2211yescharacteristic
172#16837402C2211yescharacteristic, complemented
173#16837401C2211yescharacteristic, complemented
174#16837401C2211yescharacteristic, complemented
175#16837400C2211yescharacteristic
176#16837399C2211yescharacteristic, complemented
177#16837397C2211yescharacteristic
178#16837397C2211yescharacteristic
179#16837397C2211yescharacteristic, complemented
180#16837395C2211yescharacteristic
181#16837395C2211yescharacteristic
182#103×D59C2211yescharacteristic, complemented
183#103×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic
187#16837359C2211yescharacteristic, complemented
188C59×#548C2211yescharacteristic, complemented
189C59×#547C2211yescharacteristic, complemented
190C59×#489C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#477C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic
198C59×#448C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C2×#103×C59C2211yescharacteristic, complemented
203#14273775—24no—
204#14273775—42no—
205C2×#11745689—21no—
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685—21no—
211C2×#11745685—21no—
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C2×#11745687—21no—
216C2×#11745687C2311yescharacteristic
217#41×D59—24no—
218#41×D59—42no—
219C2×Q8×D59—21no—
220C2×Q8×D59C2311yescharacteristic
221C2×Q8×D59C2311yescharacteristic
222C2×Q8×D59C2311yescharacteristic
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C22×C4×D59—21no—
228C22×C4×D59C2311yescharacteristic
229#14273754—24no—
230#14273751—42no—
231C2×#11745660C2311yescharacteristic
232C2×#11745660C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×#11745670C2311yescharacteristic
235C2×#11745671C2311yescharacteristic
236C2×#11745671C2311yescharacteristic
237SD16×D59—42no—
238C2×D472C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241#14273733—42no—
242C2×#11745664C2311yescharacteristic
243C2×#11745664C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249M16×D59—42no—
250C2×C8×D59C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253#14273727—21no—
254#14273727C2311yescharacteristic
255#14273726C2311yescharacteristic
256#14273725—21no—
257#14273725—21no—
258#14273725C2311yescharacteristic
259#14273723—21no—
260#14273722—21no—
261#14273722—21no—
262#14273720—21no—
263#14273720—21no—
264#14273719C2311yescharacteristic
265#14273718C2311yescharacteristic
266#14273717—21no—
267#14273716—21no—
268#14273716—21no—
269#14273714—21no—
270#14273714—21no—
271#14273714C2311yescharacteristic
272#14273713—21no—
273#14273713—21no—
274#14273712—21no—
275#14273712—21no—
276#14273712—21no—
277#14273712D411yescharacteristic
278#14273711—21no—
279#14273710—21no—
280#14273710—21no—
281#14273709—21no—
282#14273709—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709D411yescharacteristic
290#14273707—21no—
291#14273707—21no—
292#14273707C2311yescharacteristic
293#14273707C2311yescharacteristic
294#14273706—21no—
295#14273706—21no—
296#14273706C2311yescharacteristic
297#14273706C2311yescharacteristic
298#14273705—21no—
299#14273705—21no—
300#14273705—21no—
301#14273705D411yescharacteristic
302#14273704—21no—
303#14273704—21no—
304#14273704—21no—
305#14273704—21no—
306#14273704D411yescharacteristic
307#14273703—21no—
308#14273703—21no—
309#14273703C2311yescharacteristic
310#14273702—21no—
311#14273702C2311yescharacteristic
312#14273702C2311yescharacteristic
313#14273701—21no—
314#14273701C2311yescharacteristic
315#14273701C2311yescharacteristic
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273700D411yescharacteristic
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699D411yescharacteristic
328#14273698—21no—
329#14273698—21no—
330#14273698—21no—
331#14273698—21no—
332#14273698C2311yescharacteristic
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#14273660C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
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×C59—21no—
445C2×#41×C59C2311yescharacteristic
446C22×Q8×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×M16×C59C2311yescharacteristic
451C22×C8×C59C2311yescharacteristic
452C4⋊Q8×C59C2311yescharacteristic
453#124×C59—21no—
454#124×C59C2311yescharacteristic
455#123×C59—21no—
456#123×C59—21no—
457C22⋊Q8×C59—21no—
458C22⋊Q8×C59—21no—
459C22⋊Q8×C59C2311yescharacteristic
460#121×C59—21no—
461#121×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#107×C59C2311yescharacteristic
471#107×C59C2311yescharacteristic
472#107×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×D59C2×D411yescharacteristic
490#41×C59—22no—
491#41×C59—41no—
492#41×C59—82no—
493C2×Q8×C59—21no—
494C2×Q8×C59—21no—
495C2×Q8×C59—22no—
496C2×Q8×C59—41no—
497C2×Q8×C59C2411yescharacteristic
498C2×Q8×C59C2411yescharacteristic
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59C2×D411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59C2411yescharacteristic
512C22×C4×C59C2411yescharacteristic
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⋊D59—21no—
523C2×C22⋊D59C2×D411yescharacteristic
524C2×C22⋊D59C2×D411yescharacteristic
525C2×C22⋊D59C2×D411yescharacteristic
526C2×C22⋊D59C2×D411yescharacteristic
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59—21no—
530C22×Dic59C2×D411yescharacteristic
531#11745689—22no—
532#11745689—22no—
533#11745689—41no—
534#11745689—44no—
535#11745689#4114yescomplemented
536Q8×D59—22no—
537Q8×D59—22no—
538Q8×D59—22no—
539Q8×D59—22no—
540Q8×D59—41no—
541Q8×D59—41no—
542Q8×D59—44no—
543#11745687—22no—
544#11745687—22no—
545#11745687—44no—
546D4×D59—22no—
547D4×D59—22no—
548D4×D59—22no—
549D4×D59—41no—
550D4×D59—44no—
551D4×D59—82no—
552#11745685—22no—
553#11745685—22no—
554#11745685—22no—
555#11745685—22no—
556#11745685—41no—
557#11745685—41no—
558#11745685—44no—
559#11745685—44no—
560#11745685—44no—
561#11745685—82no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—21no—
566C2×D236C2×D411yescharacteristic
567C2×D236C2×D411yescharacteristic
568C2×D236C2411yescharacteristic
569C2×D236C2411yescharacteristic
570C2×C4×D59—21no—
571C2×C4×D59—22no—
572C2×C4×D59—22no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×C4×D59—21no—
579C2×C4×D59—21no—
580C2×C4×D59—21no—
581C2×C4×D59—21no—
582C2×C4×D59—21no—
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—44no—
587C2×C4×D59C2×D411yescharacteristic
588C2×C4×D59C2×D411yescharacteristic
589C2×C4×D59C2411yescharacteristic
590C2×C4×D59C2411yescharacteristic
591C2×C4×D59C2411yescharacteristic
592C2×Dic118—21no—
593C2×Dic118—21no—
594C2×Dic118—21no—
595C2×Dic118—21no—
596C2×Dic118C2×D411yescharacteristic
597C2×Dic118C2411yescharacteristic
598C2×Dic118C2411yescharacteristic
599SD16×C59—22no—
600SD16×C59—41no—
601D8×C59—41no—
602M16×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×C59C2×D411yescharacteristic
614C4⋊C4×C59C2411yescharacteristic
615C4⋊C4×C59C2411yescharacteristic
616C4⋊C4×C59C2411yescharacteristic
617C4⋊C4×C59C2411yescharacteristic
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59—21no—
624C22⋊C4×C59—21no—
625C22⋊C4×C59C2×D411yescharacteristic
626C22⋊C4×C59C2×D411yescharacteristic
627C42×C59—21no—
628C42×C59C2411yescharacteristic
629C22⋊Dic59—21no—
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59C2×D411yescharacteristic
639C22⋊Dic59C2×D411yescharacteristic
640#11745671—22no—
641#11745671—41no—
642#11745670—41no—
643#11745670—41no—
644#11745669—22no—
645#11745669—41no—
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)⋊C4C2×D411yescharacteristic
663(C2×D59)⋊C4C2×D411yescharacteristic
664(C2×D59)⋊C4C2×D411yescharacteristic
665(C2×D59)⋊C4C2×D411yescharacteristic
666(C2×D59)⋊C4C2×D411yescharacteristic
667(C2×D59)⋊C4C2×D411yescharacteristic
668C4⋊Dic59—21no—
669C4⋊Dic59—21no—
670C4⋊Dic59—21no—
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—
705#11745664—41no—
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C2×C59⋊C8C2411yescharacteristic
710D472—22no—
711#11745660—41no—
712#11745660—41no—
713#11745659—22no—
714#11745659—22no—
715#11745659—41no—
716#11745659—41no—
717#11745659—41no—
718C8×D59—22no—
719C8×D59—22no—
720C8×D59—41no—
721C23×C59—21no—
722C23×C59—21no—
723C23×C59C22×D411yescharacteristic
724C23×C59C22×D411yescharacteristic
725C22×D59—21no—
726C22×D59—22no—
727C22×D59—21no—
728C22×D59—41no—
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—42no—
743Q8×C59—81no—
744Q8×C59C2×#4112yes—
745D4×C59—21no—
746D4×C59—21no—
747D4×C59—21no—
748D4×C59—21no—
749D4×C59—41no—
750D4×C59—42no—
751D4×C59—42no—
752D4×C59—81no—
753D4×C59—81no—
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—41no—
777C22⋊D59—41no—
778C22⋊D59—42no—
779C22⋊D59—42no—
780C22⋊D59—42no—
781C22⋊D59—42no—
782C22⋊D59—42no—
783C22⋊D59—42no—
784C22⋊D59—81no—
785C22⋊D59—81no—
786C22⋊D59—81no—
787C22⋊D59—81no—
788C2×Dic59—22no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—21no—
795C2×Dic59—42no—
796C2×Dic59—81no—
797C2×Dic59—81no—
798C2×Dic59C22×D411yescharacteristic
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801C2×Dic59C22×D411yescharacteristic
802C2×Dic59C22×D411yescharacteristic
803D236—24no—
804D236—22no—
805D236—21no—
806D236—21no—
807D236—21no—
808D236—41no—
809D236—42no—
810D236—81no—
811D236—81no—
812D236C2×#4112yes—
813C4×D59—22no—
814C4×D59—21no—
815C4×D59—21no—
816C4×D59—21no—
817C4×D59—21no—
818C4×D59—22no—
819C4×D59—24no—
820C4×D59—42no—
821C4×D59—42no—
822C4×D59—42no—
823C4×D59—42no—
824C4×D59—42no—
825C4×D59—42no—
826C4×D59—81no—
827C4×D59—81no—
828C4×D59—81no—
829C4×D59—81no—
830C4×D59—81no—
831C4×D59—81no—
832C4×D59—81no—
833C4×D59C2×#4112yes—
834C4×D59H(5,𝔽2)12yes—
835Dic118—22no—
836Dic118—21no—
837Dic118—21no—
838Dic118—21no—
839Dic118—21no—
840Dic118—42no—
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#61182—591nomaximal, Sylow
853C22×C59—21no—
854C22×C59—21no—
855C22×C59—21no—
856C22×C59—21no—
857C22×C59—21no—
858C22×C59—21no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59C23×D411yescharacteristic
866C2×D59—21no—
867C2×D59—21no—
868C2×D59—21no—
869C2×D59—21no—
870C2×D59—21no—
871C2×D59—21no—
872C2×D59—21no—
873C2×D59—22no—
874C2×D59—21no—
875C2×D59—41no—
876C2×D59—41no—
877C2×D59—41no—
878C2×D59—41no—
879C2×D59—41no—
880C2×D59—82no—
881C2×D59—84no—
882C2×D59—162no—
883C2×D59#54612yes—
884C4×C59—21no—
885C4×C59—21no—
886C4×C59—21no—
887C4×C59—22no—
888C4×C59—21no—
889C4×C59—41no—
890C4×C59—41no—
891C4×C59—41no—
892C4×C59—41no—
893C4×C59—41no—
894C4×C59C22×#4111yescharacteristic
895C4×C59C2×H(5,𝔽2)11yescharacteristic
896Dic59—21no—
897Dic59—21no—
898Dic59—21no—
899Dic59—21no—
900Dic59—41no—
901Dic59—41no—
902Dic59—41no—
903Dic59—41no—
904Dic59—41no—
905Dic59—41no—
906Dic59#54612yes—
907#3494—591no—
908#3489—591no—
909#3330—591no—
910#3330—591no—
911#3329—591no—
912#3329—591no—
913#3326—591no—
914#3326—591no—
915#3322—591no—
916#3322—591no—
917#3320—591no—
918#3320—591no—
919#3319—591no—
920#3319—591no—
921#3308—591no—
922#3308D5911yescharacteristic, complemented
923#3307—591no—
924#3307—591no—
925#3137—591no—
926#3098—591no—
927#3095—591no—
928#3083—591no—
929#3062—591no—
930C2×#468—591no—
931#3042—591no—
932#3010—591no—
933#3006—591no—
934#2946—591no—
935#2930—591no—
936#2898—591no—
937#2896—591no—
938C2×C59—41no—
939C2×C59—41no—
940C2×C59—81no—
941C2×C59—81no—
942C2×C59C2×#54611yescharacteristic
943C2×C59#358511yescharacteristic
944C2×C59#358611yescharacteristic
945D59—22no—
946D59—41no—
947D59—41no—
948D59—42no—
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—
956C22×M16—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×Q8—591no—
967#548—591no—
968#548C2×D5911yescharacteristic, complemented
969#547—591no—
970#547—591no—
971#547—591no—
972#547—1181no—
973#547—1181no—
974#547C2×D5911yescharacteristic, complemented
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#489C2×D5911yescharacteristic, complemented
1004#488—591no—
1005#488—591no—
1006#487—591no—
1007#487—591no—
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#484—591no—
1017#484C2×D5911yescharacteristic, complemented
1018#483—591no—
1019#483—591no—
1020#482—591no—
1021#482—591no—
1022#480—591no—
1023#480C2×D5911yescharacteristic, complemented
1024#479—591no—
1025#479—591no—
1026#478—591no—
1027#478—591no—
1028#477—591no—
1029#477C2×D5911yescharacteristic, complemented
1030#474—591no—
1031#474—591no—
1032#469—591no—
1033#469—591no—
1034#468—591no—
1035#468—591no—
1036#468—591no—
1037#468—591no—
1038#468—591no—
1039#468—591no—
1040#468—591no—
1041#468—591no—
1042#468—591no—
1043#468C2×D5911yescharacteristic, complemented
1044#466—591no—
1045#466C2×D5911yescharacteristic, complemented
1046#465—591no—
1047#465—591no—
1048#463—591no—
1049#463—591no—
1050#463—591no—
1051#463C2×D5911yescharacteristic, complemented
1052#461—591no—
1053#461—591no—
1054#461—591no—
1055#461—591no—
1056#449—591no—
1057#449—591no—
1058#449—591no—
1059#449—591no—
1060#449—591no—
1061#449—591no—
1062#449—591no—
1063#449C2×D5911yescharacteristic
1064#448—591no—
1065#448—591no—
1066#448—591no—
1067#448—591no—
1068#448—591no—
1069#448C2×D5911yescharacteristic, complemented
1070#447—591no—
1071#447—591no—
1072#442—591no—
1073#442—591no—
1074#440—591no—
1075#440C2×D5911yescharacteristic, complemented
1076C4×SD16—591no—
1077C4×SD16—591no—
1078C4×D8—591no—
1079C4×D8—591no—
1080#436—591no—
1081#436—591no—
1082#436—591no—
1083#436—591no—
1084#435—591no—
1085#435—591no—
1086#435—591no—
1087#435C2×D5911yescharacteristic, complemented
1088#428—591no—
1089#428—591no—
1090C2×#107—591no—
1091#424—591no—
1092#419—591no—
1093#419—591no—
1094#419—591no—
1095#419—591no—
1096#419—591no—
1097#419—591no—
1098#418—591no—
1099#418—591no—
1100#417—591no—
1101#417—591no—
1102#417—591no—
1103#417—591no—
1104#417—591no—
1105#417—591no—
1106#417—591no—
1107#417C2×D5911yescharacteristic, complemented
1108#416—591no—
1109#416—591no—
1110#416—591no—
1111#416—591no—
1112#416—591no—
1113#416—591no—
1114C2×#103—591no—
1115C2×#103—591no—
1116C2×#103C2×D5911yescharacteristic, complemented
1117C2×#102—591no—
1118#408—591no—
1119#407—591no—
1120#405—591no—
1121C59#6118211yescharacteristic, 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—1181no—
1132C2×#41—1181no—
1133C2×#41—1181no—
1134C2×#41—1181no—
1135C2×#41—1181no—
1136C2×#41—1181no—
1137C2×#41—1184no—
1138C2×#41—2362no—
1139C2×#41C22×D5911yescharacteristic
1140C22×Q8—591no—
1141C22×Q8—591no—
1142C22×Q8—591no—
1143C22×Q8—1181no—
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—591no—
1159C2×SD16—2362no—
1160C2×SD16C22×D5911yescharacteristic
1161C2×SD16C22×D5911yescharacteristic
1162C2×D8—591no—
1163C2×D8—591no—
1164C2×D8—591no—
1165C2×D8C22×D5911yescharacteristic
1166#131—2362no—
1167C2×M16—591no—
1168C2×M16—591no—
1169C2×M16—591no—
1170C2×M16—591no—
1171C2×M16—591no—
1172C2×M16—591no—
1173C2×M16—591no—
1174C2×M16—2362no—
1175C2×M16C22×D5911yescharacteristic
1176C22×C8—591no—
1177C22×C8—591no—
1178C22×C8—591no—
1179C22×C8C22×D5911yescharacteristic
1180C4⋊Q8—591no—
1181C4⋊Q8—591no—
1182C4⋊Q8—591no—
1183C4⋊Q8—1181no—
1184C4⋊Q8—1181no—
1185C4⋊Q8—1181no—
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—21no—
1196#124—591no—
1197#124—1181no—
1198#124—1181no—
1199#124—1181no—
1200#124—1181no—
1201#124—1181no—
1202#124—1181no—
1203#124C22×D5911yescharacteristic
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—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—591no—
1229C22⋊Q8—591no—
1230C22⋊Q8—591no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8—1181no—
1236C22⋊Q8—1181no—
1237C22⋊Q8—1181no—
1238C22⋊Q8—1181no—
1239C22⋊Q8—1181no—
1240C22⋊Q8—1181no—
1241C22⋊Q8—1181no—
1242C22⋊Q8—1181no—
1243C22⋊Q8—1181no—
1244C22⋊Q8C22×D5911yescharacteristic
1245#121—21no—
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#121C22×D5911yescharacteristic
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#107—591no—
1343#107C22×D5911yescharacteristic
1344#107C22×D5911yescharacteristic
1345#107C22×D5911yescharacteristic
1346#106—591no—
1347#106—591no—
1348#106—591no—
1349#106—591no—
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#103—591no—
1370#103—591no—
1371#103—591no—
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#102C22×D5911yescharacteristic
1391#102C22×D5911yescharacteristic
1392#102C22×D5911yescharacteristic
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#97C22×D5911yescharacteristic
1404C4×C8—591no—
1405C4×C8—591no—
1406C24—591no—
1407C24—1181no—
1408C24—1181no—
1409#41—22no—
1410#41—41no—
1411#41—82no—
1412#41—594no—
1413#41—1182no—
1414#41—1182no—
1415#41—1182no—
1416#41—1182no—
1417#41—1182no—
1418#41—1182no—
1419#41—1182no—
1420#41—1182no—
1421#41—4722no—
1422#41—2361no—
1423#41—2361no—
1424#41—2364no—
1425#41—2364no—
1426#41—2364no—
1427#41—2364no—
1428#41—2361no—
1429#41—2364no—
1430C2×Q8—21no—
1431C2×Q8—21no—
1432C2×Q8—22no—
1433C2×Q8—41no—
1434C2×Q8—591no—
1435C2×Q8—591no—
1436C2×Q8—591no—
1437C2×Q8—1181no—
1438C2×Q8—1181no—
1439C2×Q8—1181no—
1440C2×Q8—1181no—
1441C2×Q8—1182no—
1442C2×Q8—1182no—
1443C2×Q8—1182no—
1444C2×Q8—1182no—
1445C2×Q8—2361no—
1446C2×Q8—2361no—
1447C2×Q8—2364no—
1448C2×Q8C23×D5911yescharacteristic
1449C2×Q8C23×D5911yescharacteristic
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—591no—
1455C2×D4—591no—
1456C2×D4—591no—
1457C2×D4—591no—
1458C2×D4—591no—
1459C2×D4—591no—
1460C2×D4—591no—
1461C2×D4—591no—
1462C2×D4—1181no—
1463C2×D4—1181no—
1464C2×D4—1181no—
1465C2×D4—1181no—
1466C2×D4—1182no—
1467C2×D4—1182no—
1468C2×D4—1181no—
1469C2×D4—1181no—
1470C2×D4—1182no—
1471C2×D4—1181no—
1472C2×D4—1181no—
1473C2×D4—1181no—
1474C2×D4—1181no—
1475C2×D4—1181no—
1476C2×D4—1181no—
1477C2×D4—1181no—
1478C2×D4—1181no—
1479C2×D4—4722no—
1480C2×D4—2361no—
1481C2×D4—2364no—
1482C2×D4D4×D5911yescharacteristic
1483C2×D4C23×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—1182no—
1521SD16—2361no—
1522SD16—2361no—
1523SD16—2361no—
1524SD16—2361no—
1525SD16—2361no—
1526D8—41no—
1527D8—1182no—
1528D8—1182no—
1529D8—2361no—
1530M16—41no—
1531M16—1182no—
1532M16—1182no—
1533M16—2361no—
1534M16—2361no—
1535M16—2361no—
1536M16—2361no—
1537M16—2361no—
1538C2×C8—41no—
1539C2×C8—591no—
1540C2×C8—591no—
1541C2×C8—591no—
1542C2×C8—591no—
1543C2×C8—1182no—
1544C2×C8—1182no—
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—591no—
1556C4⋊C4—591no—
1557C4⋊C4—591no—
1558C4⋊C4—591no—
1559C4⋊C4—591no—
1560C4⋊C4—591no—
1561C4⋊C4—591no—
1562C4⋊C4—591no—
1563C4⋊C4—591no—
1564C4⋊C4—1181no—
1565C4⋊C4—1181no—
1566C4⋊C4—1181no—
1567C4⋊C4—1181no—
1568C4⋊C4—1181no—
1569C4⋊C4—1181no—
1570C4⋊C4—1181no—
1571C4⋊C4—1181no—
1572C4⋊C4—1181no—
1573C4⋊C4—1181no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4—1181no—
1579C4⋊C4—1181no—
1580C4⋊C4—1181no—
1581C4⋊C4—1181no—
1582C4⋊C4—1181no—
1583C4⋊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—21no—
1594C22⋊C4—21no—
1595C22⋊C4—591no—
1596C22⋊C4—591no—
1597C22⋊C4—591no—
1598C22⋊C4—591no—
1599C22⋊C4—591no—
1600C22⋊C4—591no—
1601C22⋊C4—591no—
1602C22⋊C4—591no—
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—21no—
1642C23—591no—
1643C23—591no—
1644C23—591no—
1645C23—1182no—
1646C23—1181no—
1647C23—1181no—
1648C23—4721no—
1649C23—4721no—
1650C23—4721no—
1651C23—2361no—
1652C23—2361no—
1653C23—2362no—
1654C23—2362no—
1655C23—2362no—
1656C23C2×D4×D5911yescharacteristic
1657C23C2×D4×D5911yescharacteristic
1658Q8—21no—
1659Q8—21no—
1660Q8—21no—
1661Q8—42no—
1662Q8—81no—
1663Q8—1182no—
1664Q8—1181no—
1665Q8—1181no—
1666Q8—1181no—
1667Q8—1181no—
1668Q8—4721no—
1669Q8—2362no—
1670Q8—2362no—
1671Q8—2362no—
1672Q8#41×D5912yes—
1673D4—21no—
1674D4—21no—
1675D4—21no—
1676D4—21no—
1677D4—41no—
1678D4—42no—
1679D4—42no—
1680D4—81no—
1681D4—81no—
1682D4—592no—
1683D4—1182no—
1684D4—1184no—
1685D4—1182no—
1686D4—1182no—
1687D4—1181no—
1688D4—1181no—
1689D4—1181no—
1690D4—4721no—
1691D4—4721no—
1692D4—4721no—
1693D4—4721no—
1694D4—4721no—
1695D4—4721no—
1696D4—2361no—
1697D4—2362no—
1698D4—2362no—
1699D4—2361no—
1700D4—2361no—
1701D4—2362no—
1702D4—2362no—
1703D4—2362no—
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—42no—
1717C2×C4—42no—
1718C2×C4—42no—
1719C2×C4—81no—
1720C2×C4—81no—
1721C2×C4—591no—
1722C2×C4—592no—
1723C2×C4—592no—
1724C2×C4—591no—
1725C2×C4—591no—
1726C2×C4—591no—
1727C2×C4—591no—
1728C2×C4—1182no—
1729C2×C4—1184no—
1730C2×C4—1182no—
1731C2×C4—1182no—
1732C2×C4—1181no—
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—21no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—592no—
1784C22—1181no—
1785C22—1181no—
1786C22—1181no—
1787C22—1182no—
1788C22—1181no—
1789C22—1181no—
1790C22—1181no—
1791C22—1181no—
1792C22—1181no—
1793C22—9442no—
1794C22—4722no—
1795C22—4724no—
1796C22—2361no—
1797C22—2361no—
1798C22—2361no—
1799C22—2361no—
1800C22—2361no—
1801C22C22×D4×D5911yescharacteristic
1802C4—21no—
1803C4—21no—
1804C4—22no—
1805C4—21no—
1806C4—21no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—592no—
1813C4—1181no—
1814C4—1181no—
1815C4—1181no—
1816C4—1181no—
1817C4—2361no—
1818C4—2361no—
1819C4—2361no—
1820C4—2361no—
1821C4—2361no—
1822C4—2361no—
1823C4C2×#41×D5911yescharacteristic
1824C4H(5,𝔽2)×D5911yescharacteristic
1825C2—41no—
1826C2—41no—
1827C2—81no—
1828C2—81no—
1829C2—1182no—
1830C2—4721no—
1831C2—2361no—
1832C2—2361no—
1833C2—2362no—
1834C2#546×D5911yescharacteristic
1835C2#2143887211yescharacteristic
1836C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3308C2
socleC22×C59C23×D4
hypercenter#3308D59
hypocenterC59#61182
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #21437820C2semidirect
2. #21437775C2semidirect
3. #21436399C2semidirect
4. #21436395C2semidirect
5. #21436387C2semidirect
6. #21436383C2semidirect
7. #21436349C2semidirect
8. #21436342C2semidirect
9. #21436304C2semidirect
10. #21436300C2semidirect
11. #21436272C2semidirect
12. #21436263C2semidirect
13. #21436258C2semidirect
14. #21436251C2semidirect
15. #21436088C2semidirect
16. #21436074C2semidirect
17. #21436067C2semidirect
18. #21434458C2semidirect
19. #21434069C2semidirect
20. #21434041C2semidirect
21. #21433944C2semidirect
22. #21433775C2semidirect
23. #468×D59C2semidirect
24. #21433606C2semidirect
25. #21433377C2semidirect
26. #21433345C2semidirect
27. #21432927C2semidirect
28. #21432794C2semidirect
29. #21432624C2semidirect
30. #21432612C2semidirect
31. C59×#3308C2semidirect
36. C2×SD16×D59C22semidirect
37. C2×#14273733C22semidirect
41. #16838104C22semidirect
44. #16838098C22semidirect
47. Q8×D236C22semidirect
48. Q8×C22⋊D59C22semidirect
49. #16838059C22semidirect
51. #16838057C22semidirect
53. #16838054C22semidirect
54. #16838053C22semidirect
56. #16838049C22semidirect
58. #16838045C22semidirect
61. #16838029C22semidirect
68. #16837968C22semidirect
77. #16837883C22semidirect
78. #16837874C22semidirect
80. #16837771C22semidirect
81. #16837769C22semidirect
82. #16837760C22semidirect
83. #16837756C22semidirect
84. #16837755C22semidirect
85. #16837754C22semidirect
86. #16837751C22semidirect
87. #16837745C22semidirect
88. #16837745C22semidirect
89. #16837745C22semidirect
90. #16837744C22semidirect
91. #16837741C22semidirect
92. #16837741C22semidirect
93. #16837739C22semidirect
94. #16837737C22semidirect
95. #16837737C22semidirect
96. #16837733C22semidirect
97. #16837730C22semidirect
98. #16837725C22semidirect
99. #16837723C22semidirect
100. #16837714C22semidirect
101. #16837709C22semidirect
102. #16837707C22semidirect
103. #16837705C22semidirect
104. #16837703C22semidirect
105. #16837695C22semidirect
106. #16837681C22semidirect
107. #16837679C22semidirect
108. #16837653C22semidirect
109. #16837652C22semidirect
111. #16837650C22semidirect
113. #16837649C22semidirect
114. #16837648C22semidirect
116. #16837646C22semidirect
117. #16837646C22semidirect
119. #16837637C22semidirect
120. #16837631C22semidirect
121. #16837630C22semidirect
122. #16837616C22semidirect
123. #16837615C22semidirect
124. #16837614C22semidirect
125. #16837608C22semidirect
126. #16837607C22semidirect
127. #16837606C22semidirect
128. #16837605C22semidirect
129. #16837550C22semidirect
131. #16837549C22semidirect
133. #16837546C22semidirect
135. #16837545C22semidirect
137. #16837542C22semidirect
138. #16837541C22semidirect
140. #16837539C22semidirect
143. #16837515C22semidirect
144. #16837511C22semidirect
145. #16837505C22semidirect
146. SD16×Dic59C22semidirect
147. C4×#11745671C22semidirect
148. #16837484C22semidirect
149. C4×#11745669C22semidirect
150. #16837480C22semidirect
151. #16837479C22semidirect
152. #16837477C22semidirect
153. #16837477C22semidirect
154. #16837475C22semidirect
155. #16837473C22semidirect
156. #16837471C22semidirect
157. #16837443C22semidirect
158. #16837443C22semidirect
159. #107×D59C22semidirect
160. #16837427C22semidirect
161. #16837411C22semidirect
162. #16837409C22semidirect
163. #16837409C22semidirect
164. #16837409C22semidirect
165. #16837409C22semidirect
166. #16837409C22semidirect
167. #16837405C22semidirect
168. #16837405C22semidirect
169. #16837404C22semidirect
170. #16837403C22semidirect
172. #16837402C22semidirect
173. #16837401C22semidirect
174. #16837401C22semidirect
176. #16837399C22semidirect
179. #16837397C22semidirect
182. #103×D59C22semidirect
183. #103×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
187. #16837359C22semidirect
188. C59×#548C22semidirect
189. C59×#547C22semidirect
190. C59×#489C22semidirect
191. C59×#484C22semidirect
192. C59×#480C22semidirect
193. C59×#477C22semidirect
194. C59×#468C22semidirect
195. C59×#466C22semidirect
196. C59×#463C22semidirect
198. C59×#448C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C2×#103×C59C22semidirect
535. #11745689#41semidirect
922. #3308D59semidirect
968. #548C2×D59semidirect
974. #547C2×D59semidirect
1003. #489C2×D59semidirect
1017. #484C2×D59semidirect
1023. #480C2×D59semidirect
1029. #477C2×D59semidirect
1043. #468C2×D59semidirect
1045. #466C2×D59semidirect
1051. #463C2×D59semidirect
1069. #448C2×D59semidirect
1075. #440C2×D59semidirect
1087. #435C2×D59semidirect
1107. #417C2×D59semidirect
1116. C2×#103C2×D59semidirect
1121. C59#61182semidirect

Maximal subgroups

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

subgroupindex
#214378202
#214377752
#214363992
#214363952
#214363872
#214363832
#214363492
#214363422
#214363042
#214363002
#214362722
#214362632
#214362582
#214362512
#214360882
#214360742
#214360672
#214344582
#214340692
#214340412
#214339442
#214337752
#468×D592
#214336062
#214333772
#214333452
#214329272
#214327942
#214326242
#214326122
C59×#33082
#6118259