Finite Group Databasebeta

← #29474856

Subgroups — #29474856

Order 15104.

2074 conjugacy classes of subgroups.

The subgroup lattice has 1888 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438370C211yesmaximal, characteristic, complemented
2#21437735C211yesmaximal, characteristic, complemented
3#21436254C211yesmaximal, characteristic, complemented
4#21436247C211yesmaximal, characteristic, complemented
5#21436137C211yesmaximal, characteristic, complemented
6#21436136C211yesmaximal, characteristic, complemented
7#21436024C211yesmaximal, characteristic, complemented
8#21436017C211yesmaximal, characteristic, complemented
9#21436016C211yesmaximal, characteristic, complemented
10#21436008C211yesmaximal, characteristic, complemented
11#21435804C211yesmaximal, characteristic, complemented
12#21435796C211yesmaximal, characteristic, complemented
13#21435776C211yesmaximal, characteristic, complemented
14#21435775C211yesmaximal, characteristic, complemented
15#21435645C211yesmaximal, characteristic, complemented
16#21435625C211yesmaximal, characteristic, complemented
17#21435620C211yesmaximal, characteristic, complemented
18#21435212C211yesmaximal, characteristic, complemented
19#21435200C211yesmaximal, characteristic, complemented
20#21434989C211yesmaximal, characteristic, complemented
21#21434964C211yesmaximal, characteristic, complemented
22#21434890C211yesmaximal, characteristic, complemented
23#21434888C211yesmaximal, characteristic, complemented
24#21434284C211yesmaximal, characteristic, complemented
25#21434277C211yesmaximal, characteristic, complemented
26#21433372C211yesmaximal, characteristic, complemented
27#21433361C211yesmaximal, characteristic, complemented
28#21433317C211yesmaximal, characteristic, complemented
29#21433310C211yesmaximal, characteristic, complemented
30#21433147C211yesmaximal, characteristic, complemented
31C59×#3269C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273750C2211yescharacteristic, complemented
36C2×#14273748C2211yescharacteristic, complemented
37C2×#14273747C2211yescharacteristic, complemented
38C22×#11745671C2211yescharacteristic, complemented
39C2×D8×D59C2211yescharacteristic, complemented
40#16838144—21no—
41#16838140—21no—
42#16838135—21no—
43#16838125C2211yescharacteristic, complemented
44#16838123C2211yescharacteristic, complemented
45#16838117C2211yescharacteristic, complemented
46#16838116C2211yescharacteristic, complemented
47#16838079—21no—
48#16838063C2211yescharacteristic, complemented
49#16838055C2211yescharacteristic
50#16838054C2211yescharacteristic
51#16838053—21no—
52#16838051C2211yescharacteristic, complemented
53#16838050—21no—
54#16838048C2211yescharacteristic, complemented
55#16838047C2211yescharacteristic
56#16838045C2211yescharacteristic, complemented
57#16838044—21no—
58#16838043C2211yescharacteristic, complemented
59#16838041—21no—
60#16838040C2211yescharacteristic
61#16838040C2211yescharacteristic, complemented
62#16838024C2211yescharacteristic, complemented
63#16838022—21no—
64#16838021C2211yescharacteristic, complemented
65#16838016—21no—
66#16837985—21no—
67#16837984—21no—
68#16837977C2211yescharacteristic, complemented
69#16837976C2211yescharacteristic
70#16837975C2211yescharacteristic
71#16837968C2211yescharacteristic
72#16837963—21no—
73#16837960—21no—
74#16837915C2211yescharacteristic, complemented
75#16837915C2211yescharacteristic, complemented
76#16837911C2211yescharacteristic
77#16837909C2211yescharacteristic, complemented
78C2×#14273712—21no—
79#123×D59—21no—
80#16837874C2211yescharacteristic, complemented
81#16837795C2211yescharacteristic, complemented
82#16837787C2211yescharacteristic, complemented
83#16837784C2211yescharacteristic, complemented
84#16837763C2211yescharacteristic, complemented
85#16837762C2211yescharacteristic, complemented
86#16837752C2211yescharacteristic, complemented
87#16837751C2211yescharacteristic, complemented
88#16837745C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837742C2211yescharacteristic, complemented
91#16837742C2211yescharacteristic, complemented
92#16837742C2211yescharacteristic, complemented
93#16837741C2211yescharacteristic, complemented
94#16837740C2211yescharacteristic, complemented
95#16837740C2211yescharacteristic, complemented
96#16837729C2211yescharacteristic, complemented
97#16837729C2211yescharacteristic, complemented
98#16837727C2211yescharacteristic, complemented
99#16837724C2211yescharacteristic, complemented
100#16837692C2211yescharacteristic, complemented
101#16837690C2211yescharacteristic, complemented
102#16837683C2211yescharacteristic, complemented
103#16837681C2211yescharacteristic, complemented
104#16837659C2211yescharacteristic, complemented
105#16837657C2211yescharacteristic, complemented
106#16837648C2211yescharacteristic, complemented
107#16837642C2211yescharacteristic, complemented
108#16837640C2211yescharacteristic, complemented
109#16837640C2211yescharacteristic, complemented
110#16837638C2211yescharacteristic, complemented
111#16837637C2211yescharacteristic, complemented
112#16837634C2211yescharacteristic, complemented
113#16837633C2211yescharacteristic, complemented
114#16837633C2211yescharacteristic, complemented
115#16837633C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837624C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic, complemented
123#16837618C2211yescharacteristic, complemented
124#16837614C2211yescharacteristic, complemented
125#16837610C2211yescharacteristic, complemented
126#16837605C2211yescharacteristic, complemented
127#16837604C2211yescharacteristic, complemented
128#16837563C2211yescharacteristic, complemented
129#16837563C2211yescharacteristic, complemented
130#16837563C2211yescharacteristic, complemented
131#16837563C2211yescharacteristic, complemented
132#16837563C2211yescharacteristic, complemented
133#16837563C2211yescharacteristic, complemented
134#16837562C2211yescharacteristic, complemented
135#16837561C2211yescharacteristic, complemented
136#16837558C2211yescharacteristic, complemented
137#16837556C2211yescharacteristic, complemented
138#16837556C2211yescharacteristic, complemented
139#16837554C2211yescharacteristic, complemented
140#16837551C2211yescharacteristic, complemented
141#16837551C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837551C2211yescharacteristic, complemented
144#16837551C2211yescharacteristic, complemented
145#16837550C2211yescharacteristic
146#16837550C2211yescharacteristic, complemented
147#16837549C2211yescharacteristic, complemented
148#16837547C2211yescharacteristic, complemented
149#16837547C2211yescharacteristic, complemented
150#16837547C2211yescharacteristic, complemented
151#16837546C2211yescharacteristic
152#16837546C2211yescharacteristic, complemented
153#16837544C2211yescharacteristic, complemented
154#16837542C2211yescharacteristic, complemented
155#16837539C2211yescharacteristic, complemented
156#16837538C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic
158#16837535C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic
160#16837515C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic, complemented
162#16837503C2211yescharacteristic, complemented
163C4×#11745671C2211yescharacteristic, complemented
164#16837487C2211yescharacteristic, complemented
165D8×Dic59C2211yescharacteristic, complemented
166C4×#11745669C2211yescharacteristic, complemented
167#16837475C2211yescharacteristic, complemented
168#16837471C2211yescharacteristic, complemented
169#16837470C2211yescharacteristic, complemented
170D4×C59⋊C8C2211yescharacteristic, complemented
171#16837467C2211yescharacteristic, complemented
172C8×C22⋊D59C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837464C2211yescharacteristic, complemented
175#16837462C2211yescharacteristic, complemented
176#16837408C2211yescharacteristic, complemented
177#16837405C2211yescharacteristic, complemented
178#16837399C2211yescharacteristic, complemented
179#16837398C2211yescharacteristic, complemented
180#16837398C2211yescharacteristic, complemented
181#16837397C2211yescharacteristic, complemented
182#16837397C2211yescharacteristic, complemented
183#16837395C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic
185#16837367C2211yescharacteristic
186C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C2×#137×C59C2211yescharacteristic, complemented
189C2×#135×C59C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic, complemented
191C59×#547C2211yescharacteristic, complemented
192C59×#497C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#467C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#462C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#451C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745685—21no—
210C2×#11745685—21no—
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745687—21no—
214C2×#11745687C2311yescharacteristic
215#41×D59—42no—
216#41×D59—42no—
217C2×Q8×D59C2311yescharacteristic
218C22×D236—21no—
219C22×D236C2311yescharacteristic
220C2×D4×D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59C2311yescharacteristic
224C2×D4×D59C2311yescharacteristic
225C2×D4×D59C2311yescharacteristic
226C22×C4×D59—21no—
227C22×C4×D59C2311yescharacteristic
228#14273754—42no—
229#14273750—42no—
230#14273748—42no—
231#14273747—42no—
232C2×#11745672C2311yescharacteristic
233C2×#11745672C2311yescharacteristic
234C2×#11745660C2311yescharacteristic
235C2×#11745670C2311yescharacteristic
236C2×#11745671—42no—
237C2×#11745671C2311yescharacteristic
238C2×#11745671C2311yescharacteristic
239C2×#11745671C2311yescharacteristic
240C2×#11745671C2311yescharacteristic
241C2×#11745671C2311yescharacteristic
242C2×#11745671C2311yescharacteristic
243C2×D472C2311yescharacteristic
244C2×D472C2311yescharacteristic
245C2×#11745669C2311yescharacteristic
246C2×#11745669C2311yescharacteristic
247C2×#11745669C2311yescharacteristic
248D8×D59—42no—
249C2×#11745659C2311yescharacteristic
250C22×C59⋊C8C2311yescharacteristic
251C22×C59⋊C8C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254C2×C8×D59C2311yescharacteristic
255#14273727C2311yescharacteristic
256#14273726—21no—
257#14273726C2311yescharacteristic
258#14273725—21no—
259#14273725C2311yescharacteristic
260#14273723—21no—
261#14273722—21no—
262#14273722—21no—
263#14273722—21no—
264#14273721—21no—
265#14273720—21no—
266#14273720—21no—
267#14273716—21no—
268#14273716—21no—
269#14273716C2311yescharacteristic
270#14273716C2311yescharacteristic
271#14273715—21no—
272#14273715—21no—
273#14273715C2311yescharacteristic
274#14273714—21no—
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712D411yescharacteristic
294#14273711—21no—
295#14273711—21no—
296#14273710—21no—
297#14273710—21no—
298#14273710—21no—
299#14273710—21no—
300#14273710—21no—
301#14273709—21no—
302#14273709—21no—
303#14273709—21no—
304#14273709D411yescharacteristic
305#14273708—21no—
306#14273708—21no—
307#14273707C2311yescharacteristic
308#14273706C2311yescharacteristic
309#14273705—21no—
310#14273705—21no—
311#14273705—21no—
312#14273705D411yescharacteristic
313#14273704—21no—
314#14273704D411yescharacteristic
315#14273703—21no—
316#14273703C2311yescharacteristic
317#14273703C2311yescharacteristic
318#14273703C2311yescharacteristic
319#14273703C2311yescharacteristic
320#14273703C2311yescharacteristic
321#14273703C2311yescharacteristic
322#14273703C2311yescharacteristic
323#14273702—21no—
324#14273702—21no—
325#14273702C2311yescharacteristic
326#14273702C2311yescharacteristic
327#14273701—21no—
328#14273701—21no—
329#14273701C2311yescharacteristic
330#14273701C2311yescharacteristic
331#14273701C2311yescharacteristic
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700D411yescharacteristic
336#14273699—21no—
337#14273699—21no—
338#14273699—21no—
339#14273699—21no—
340#14273699D411yescharacteristic
341#14273698—21no—
342#14273698C2311yescharacteristic
343#14273698C2311yescharacteristic
344#14273697—21no—
345#14273697—21no—
346#14273697—21no—
347#14273697—21no—
348#14273697—21no—
349#14273697—21no—
350#14273697D411yescharacteristic
351#14273695—21no—
352#14273695—21no—
353#14273695—21no—
354#14273695—21no—
355#14273695—21no—
356#14273695D411yescharacteristic
357Q8×Dic59C2311yescharacteristic
358C4×Dic118—21no—
359#14273692—21no—
360C4×D236C2311yescharacteristic
361C4×D236C2311yescharacteristic
362C4×D236C2311yescharacteristic
363D4×Dic59C2311yescharacteristic
364D4×Dic59C2311yescharacteristic
365#14273689—21no—
366#14273689—21no—
367#14273689C2311yescharacteristic
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59C2311yescharacteristic
373C4×C22⋊D59C2311yescharacteristic
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4—21no—
377#14273686C2311yescharacteristic
378#14273686C2311yescharacteristic
379#14273685—21no—
380#14273685C2311yescharacteristic
381#14273685C2311yescharacteristic
382#14273685C2311yescharacteristic
383#14273684C2311yescharacteristic
384#14273683—21no—
385C2×Dic59⋊C4—21no—
386C4⋊C4×D59—21no—
387C4⋊C4×D59—21no—
388C2×(C2×D59)⋊C4—21no—
389C2×(C2×D59)⋊C4—21no—
390C2×(C2×D59)⋊C4—21no—
391C2×(C2×D59)⋊C4—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C22⋊C4×D59—21no—
396#14273661C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442#14273637C2311yescharacteristic
443C4×C59⋊C8C2311yescharacteristic
444C8×Dic59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×#41×C59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C22×Q8×C59C2311yescharacteristic
449#137×C59—42no—
450#135×C59—42no—
451C2×Q16×C59C2311yescharacteristic
452C2×Q16×C59C2311yescharacteristic
453C2×Q16×C59C2311yescharacteristic
454C2×Q16×C59C2311yescharacteristic
455C2×SD16×C59C2311yescharacteristic
456C2×SD16×C59C2311yescharacteristic
457C2×SD16×C59C2311yescharacteristic
458C2×SD16×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C2×M16×C59C2311yescharacteristic
461C22×C8×C59C2311yescharacteristic
462C4⋊Q8×C59C2311yescharacteristic
463#124×C59—21no—
464#124×C59C2311yescharacteristic
465#123×C59—21no—
466#123×C59—21no—
467C22⋊Q8×C59—21no—
468C22⋊Q8×C59C2311yescharacteristic
469C22⋊Q8×C59C2311yescharacteristic
470C22⋊Q8×C59C2311yescharacteristic
471#121×C59—21no—
472#121×C59—21no—
473#121×C59C2311yescharacteristic
474C4×Q8×C59C2311yescharacteristic
475C4×D4×C59—21no—
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C2×C4⋊C4×C59—21no—
479#107×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#103×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59C2×D411yescharacteristic
495#41×C59—22no—
496#41×C59—22no—
497#41×C59—41no—
498#41×C59—41no—
499#41×C59—41no—
500#41×C59—41no—
501C2×Q8×C59—21no—
502C2×Q8×C59—41no—
503C2×Q8×C59—41no—
504C2×Q8×C59C2411yescharacteristic
505C2×Q8×C59C2411yescharacteristic
506C2×Q8×C59C2411yescharacteristic
507C2×Q8×C59C2411yescharacteristic
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59—21no—
512C2×D4×C59C2×D411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59—21no—
520C22×C4×C59C2411yescharacteristic
521C22×C4×C59C2411yescharacteristic
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59C2×D411yescharacteristic
533C2×C22⋊D59C2×D411yescharacteristic
534C2×C22⋊D59C2×D411yescharacteristic
535C2×C22⋊D59C2×D411yescharacteristic
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59C2×D411yescharacteristic
540#11745689—22no—
541#11745689—22no—
542#11745689—41no—
543#11745689—41no—
544#11745689—41no—
545#11745689—41no—
546#11745689—41no—
547#11745689—41no—
548Q8×D59—41no—
549Q8×D59—41no—
550#11745687—22no—
551#11745687—41no—
552#11745687—44no—
553D4×D59—22no—
554D4×D59—22no—
555D4×D59—22no—
556D4×D59—41no—
557D4×D59—41no—
558D4×D59—41no—
559D4×D59—44no—
560D4×D59—44no—
561D4×D59—44no—
562#11745685—22no—
563#11745685—41no—
564#11745685—41no—
565#11745685—41no—
566#11745685—44no—
567#11745685—44no—
568C2×D236—22no—
569C2×D236—21no—
570C2×D236—21no—
571C2×D236—21no—
572C2×D236—21no—
573C2×D236—21no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—41no—
577C2×D236—44no—
578C2×D236C2×D411yescharacteristic
579C2×D236C2×D411yescharacteristic
580C2×D236C2411yescharacteristic
581C2×D236C2411yescharacteristic
582C2×D236C2411yescharacteristic
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—41no—
593C2×C4×D59—41no—
594C2×C4×D59—44no—
595C2×C4×D59C2×D411yescharacteristic
596C2×C4×D59C2×D411yescharacteristic
597C2×C4×D59C2411yescharacteristic
598C2×C4×D59C2411yescharacteristic
599C2×C4×D59C2411yescharacteristic
600C2×Dic118—21no—
601C2×Dic118—21no—
602C2×Dic118—21no—
603C2×Dic118C2×D411yescharacteristic
604C2×Dic118C2411yescharacteristic
605Q16×C59—41no—
606Q16×C59—41no—
607Q16×C59—41no—
608Q16×C59—41no—
609SD16×C59—22no—
610SD16×C59—22no—
611SD16×C59—41no—
612SD16×C59—41no—
613D8×C59—22no—
614M16×C59—41no—
615C2×C8×C59—41no—
616C2×C8×C59C2411yescharacteristic
617C2×C8×C59C2411yescharacteristic
618C2×C8×C59C2411yescharacteristic
619C2×C8×C59C2411yescharacteristic
620C4⋊C4×C59—21no—
621C4⋊C4×C59—21no—
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59—21no—
626C4⋊C4×C59C2×D411yescharacteristic
627C4⋊C4×C59C2411yescharacteristic
628C4⋊C4×C59C2411yescharacteristic
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59C2×D411yescharacteristic
637C22⋊C4×C59C2×D411yescharacteristic
638C42×C59—21no—
639C42×C59C2411yescharacteristic
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59C2×D411yescharacteristic
648C22⋊Dic59C2×D411yescharacteristic
649#11745672—41no—
650#11745672—41no—
651#11745671—22no—
652#11745671—22no—
653#11745671—41no—
654#11745671—41no—
655#11745671—41no—
656#11745671—41no—
657#11745670—41no—
658#11745669—22no—
659#11745669—22no—
660#11745669—41no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4C2×D411yescharacteristic
687(C2×D59)⋊C4C2×D411yescharacteristic
688(C2×D59)⋊C4C2×D411yescharacteristic
689(C2×D59)⋊C4C2×D411yescharacteristic
690(C2×D59)⋊C4C2×D411yescharacteristic
691(C2×D59)⋊C4C2×D411yescharacteristic
692C4⋊Dic59—21no—
693C4⋊Dic59—21no—
694C4⋊Dic59—21no—
695C4⋊Dic59C2×D411yescharacteristic
696C4⋊Dic59C2411yescharacteristic
697C4⋊Dic59C2411yescharacteristic
698C4⋊Dic59C2411yescharacteristic
699C4⋊Dic59C2411yescharacteristic
700Dic59⋊C4—21no—
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4C2×D411yescharacteristic
712Dic59⋊C4C2×D411yescharacteristic
713Dic59⋊C4C2×D411yescharacteristic
714Dic59⋊C4C2×D411yescharacteristic
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59C2411yescharacteristic
722C2×C59⋊C8—41no—
723C2×C59⋊C8—41no—
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728D472—22no—
729D472—41no—
730#11745660—41no—
731#11745659—41no—
732C8×D59—41no—
733C8×D59—41no—
734C8×D59—41no—
735C23×C59—21no—
736C23×C59—21no—
737C23×C59C22×D411yescharacteristic
738C23×C59C22×D411yescharacteristic
739C22×D59—21no—
740C22×D59—24no—
741C22×D59—21no—
742C22×D59—21no—
743C22×D59—41no—
744C22×D59—41no—
745C22×D59—41no—
746C22×D59—42no—
747C22×D59—42no—
748C22×D59—81no—
749C22×D59—81no—
750C22×D59—81no—
751C22×D59—81no—
752C22×D59—81no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59C22×D411yescharacteristic
758C22×D59C22×D411yescharacteristic
759C22×D59C22×D411yescharacteristic
760Q8×C59—21no—
761Q8×C59—21no—
762Q8×C59—21no—
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—81no—
769D4×C59—21no—
770D4×C59—21no—
771D4×C59—21no—
772D4×C59—41no—
773D4×C59—42no—
774D4×C59—42no—
775D4×C59—81no—
776D4×C59—81no—
777D4×C59H(5,𝔽2)12yes—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—42no—
789C2×C4×C59—42no—
790C2×C4×C59—81no—
791C2×C4×C59—81no—
792C2×C4×C59—81no—
793C2×C4×C59C22×D411yescharacteristic
794C2×C4×C59C22×D411yescharacteristic
795C2×C4×C59C22×D411yescharacteristic
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C2511yescharacteristic
798C22⋊D59—24no—
799C22⋊D59—41no—
800C22⋊D59—41no—
801C22⋊D59—41no—
802C22⋊D59—41no—
803C22⋊D59—42no—
804C22⋊D59—42no—
805C22⋊D59—42no—
806C22⋊D59—81no—
807C22⋊D59—81no—
808C22⋊D59—81no—
809C22⋊D59—81no—
810C22⋊D59—81no—
811C22⋊D59—81no—
812C2×Dic59—21no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—41no—
818C2×Dic59—42no—
819C2×Dic59—81no—
820C2×Dic59—81no—
821C2×Dic59C22×D411yescharacteristic
822C2×Dic59C22×D411yescharacteristic
823C2×Dic59C22×D411yescharacteristic
824C2×Dic59C22×D411yescharacteristic
825C2×Dic59C22×D411yescharacteristic
826D236—21no—
827D236—21no—
828D236—21no—
829D236—21no—
830D236—21no—
831D236—41no—
832D236—41no—
833D236—42no—
834D236—42no—
835D236—42no—
836D236—42no—
837D236—81no—
838D236—81no—
839D236—81no—
840D236H(5,𝔽2)12yes—
841C4×D59—21no—
842C4×D59—21no—
843C4×D59—21no—
844C4×D59—21no—
845C4×D59—21no—
846C4×D59—21no—
847C4×D59—41no—
848C4×D59—41no—
849C4×D59—42no—
850C4×D59—42no—
851C4×D59—42no—
852C4×D59—42no—
853C4×D59—42no—
854C4×D59—81no—
855C4×D59—81no—
856C4×D59—81no—
857C4×D59—81no—
858Dic118—21no—
859Dic118—21no—
860Dic118—41no—
861Dic118—42no—
862Dic118—81no—
863Dic118—81no—
864C8×C59—21no—
865C8×C59—21no—
866C8×C59—21no—
867C8×C59—21no—
868C59⋊C8—21no—
869C59⋊C8—21no—
870C59⋊C8—21no—
871C59⋊C8—21no—
872#61636—591nomaximal, Sylow
873C22×C59—21no—
874C22×C59—21no—
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—22no—
878C22×C59—21no—
879C22×C59—21no—
880C22×C59—41no—
881C22×C59—41no—
882C22×C59—41no—
883C22×C59—41no—
884C22×C59—41no—
885C22×C59C23×D411yescharacteristic
886C2×D59—21no—
887C2×D59—21no—
888C2×D59—21no—
889C2×D59—21no—
890C2×D59—21no—
891C2×D59—21no—
892C2×D59—21no—
893C2×D59—21no—
894C2×D59—21no—
895C2×D59—22no—
896C2×D59—41no—
897C2×D59—41no—
898C2×D59—41no—
899C2×D59—41no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—84no—
905C2×D59—82no—
906C2×D59—162no—
907C2×D59—162no—
908C2×D59—162no—
909C4×C59—21no—
910C4×C59—21no—
911C4×C59—21no—
912C4×C59—21no—
913C4×C59—41no—
914C4×C59—41no—
915C4×C59—41no—
916C4×C59—41no—
917C4×C59—41no—
918C4×C59—41no—
919C4×C59C2×H(5,𝔽2)11yescharacteristic
920C4×C59C2×H(5,𝔽2)11yescharacteristic
921Dic59—21no—
922Dic59—21no—
923Dic59—21no—
924Dic59—21no—
925Dic59—21no—
926Dic59—41no—
927Dic59—41no—
928Dic59—41no—
929Dic59—41no—
930Dic59—41no—
931#3540—591no—
932#3485—591no—
933#3319—591no—
934#3319—591no—
935#3311—591no—
936#3311—591no—
937#3303—591no—
938#3303—591no—
939#3302—591no—
940#3302—591no—
941#3282—591no—
942#3282—591no—
943#3280—591no—
944#3280—591no—
945#3269—591no—
946#3269D5911yescharacteristic, complemented
947#3267—591no—
948#3267—591no—
949#3225—591no—
950#3225—591no—
951#3202—591no—
952#3200—591no—
953#3191—591no—
954#3191—591no—
955#3118—591no—
956#3118—591no—
957#3009—591no—
958#3008—591no—
959#3002—591no—
960#3002—591no—
961#2977—591no—
962C2×C59—42no—
963C2×C59—41no—
964C2×C59—41no—
965C2×C59—81no—
966C2×C59#348411yescharacteristic
967C2×C59#358411yescharacteristic
968C2×C59#358411yescharacteristic
969D59—41no—
970D59—41no—
971D59—41no—
972D59—42no—
973D59—81no—
974D59—81no—
975C2×H(5,𝔽2)—591no—
976C22×#41—591no—
977C2×#137C2×D5911yescharacteristic, complemented
978C2×AGL(1,ℤ/8)—591no—
979C2×#135—591no—
980C2×#135—591no—
981C2×#135—591no—
982C2×#135C2×D5911yescharacteristic, complemented
983C22×SD16—591no—
984C22×D8—591no—
985H(3,𝔽4)—1181no—
986#560—1181no—
987#559—1181no—
988#556—591no—
989#556—591no—
990#555—591no—
991#555—591no—
992#551—1181no—
993#548—591no—
994#548C2×D5911yescharacteristic, complemented
995#547—591no—
996#547—591no—
997#547—591no—
998#547—1181no—
999#547—1181no—
1000#547C2×D5911yescharacteristic, complemented
1001#546—591no—
1002#546—591no—
1003#546—591no—
1004#546—591no—
1005#546—591no—
1006#546—591no—
1007#546—1181no—
1008#546—1181no—
1009#542—591no—
1010#542—591no—
1011#542—1181no—
1012#542—1181no—
1013#538—1181no—
1014#538—1181no—
1015#536—591no—
1016#536—591no—
1017#536—591no—
1018#535—591no—
1019#534—1181no—
1020#534—1181no—
1021#525—591no—
1022#525—591no—
1023#525—591no—
1024#525—591no—
1025C2×#123—1181no—
1026C2×#123—1181no—
1027#518—591no—
1028#497—591no—
1029#497C2×D5911yescharacteristic, complemented
1030#495—591no—
1031#495—591no—
1032#489—591no—
1033#489—591no—
1034#487—591no—
1035#487—591no—
1036#485—591no—
1037#485—591no—
1038#485—591no—
1039#485—591no—
1040#485—591no—
1041#485—591no—
1042#485—591no—
1043#485—591no—
1044#482—591no—
1045#482—591no—
1046#482—591no—
1047#482—591no—
1048#476—591no—
1049#476—591no—
1050#474—591no—
1051#474—591no—
1052#470—591no—
1053#470—591no—
1054#468—591no—
1055#468C2×D5911yescharacteristic, complemented
1056#467—591no—
1057#467—591no—
1058#467—591no—
1059#467C2×D5911yescharacteristic, complemented
1060#466—591no—
1061#466—591no—
1062#465—591no—
1063#465—591no—
1064#465—591no—
1065#465—591no—
1066#465—591no—
1067#465—591no—
1068#464—591no—
1069#464—591no—
1070#463—591no—
1071#463—591no—
1072#463—591no—
1073#463—591no—
1074#463—591no—
1075#463C2×D5911yescharacteristic, complemented
1076#462—591no—
1077#462C2×D5911yescharacteristic, complemented
1078#461—591no—
1079#461—591no—
1080#452—591no—
1081#452—591no—
1082#452—591no—
1083#452—591no—
1084#452—591no—
1085#452—591no—
1086#452—591no—
1087#452—591no—
1088#452C2×D5911yescharacteristic, complemented
1089#452C2×D5911yescharacteristic, complemented
1090#451—591no—
1091#451—591no—
1092#451—591no—
1093#451C2×D5911yescharacteristic, complemented
1094#450—591no—
1095#450—591no—
1096#450—591no—
1097#450—591no—
1098#450—591no—
1099#450—591no—
1100#449—591no—
1101#449—591no—
1102#449—591no—
1103#449—591no—
1104#449—591no—
1105#449—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#449C2×D5911yescharacteristic, complemented
1110#448—591no—
1111#448—591no—
1112#447—591no—
1113#447—591no—
1114#447—591no—
1115#447—591no—
1116#442—591no—
1117#442—591no—
1118#440—591no—
1119#440C2×D5911yescharacteristic, complemented
1120C4×SD16—591no—
1121C4×SD16—591no—
1122C4×D8—591no—
1123C4×D8—591no—
1124#435—591no—
1125#435—591no—
1126#435—591no—
1127#435C2×D5911yescharacteristic, complemented
1128C8×D4—591no—
1129C8×D4—591no—
1130C8×D4—591no—
1131C8×D4—591no—
1132#433—591no—
1133#433—591no—
1134#418—591no—
1135#418—591no—
1136#416—591no—
1137#416—591no—
1138#416—591no—
1139#416—591no—
1140#416—591no—
1141#416—591no—
1142#408—591no—
1143#408—591no—
1144C2×C22⋊C8—591no—
1145C2×C22⋊C8—591no—
1146C59#6163611yescharacteristic, complemented, Sylow
1147H(5,𝔽2)—2362no—
1148H(5,𝔽2)—2362no—
1149C2×#41—591no—
1150C2×#41—591no—
1151C2×#41—591no—
1152C2×#41—591no—
1153C2×#41—591no—
1154C2×#41—591no—
1155C2×#41—591no—
1156C2×#41—1181no—
1157C2×#41—1181no—
1158C2×#41—1181no—
1159C2×#41—2362no—
1160C2×#41—2362no—
1161C2×#41C22×D5911yescharacteristic
1162C2×#41C22×D5911yescharacteristic
1163C2×#41C22×D5911yescharacteristic
1164C22×Q8—591no—
1165C22×Q8C22×D5911yescharacteristic
1166C22×D4—591no—
1167C22×D4—591no—
1168C22×D4—591no—
1169C22×D4—591no—
1170C22×D4—1181no—
1171C22×D4—1181no—
1172C22×D4—1181no—
1173C22×D4—1181no—
1174C23×C4—591no—
1175C23×C4—1181no—
1176#137—42no—
1177AGL(1,ℤ/8)—2362no—
1178#135—42no—
1179#135—2362no—
1180#135—2362no—
1181#135—2362no—
1182C2×Q16—591no—
1183C2×Q16—591no—
1184C2×Q16C22×D5911yescharacteristic
1185C2×Q16C22×D5911yescharacteristic
1186C2×Q16C22×D5911yescharacteristic
1187C2×Q16C22×D5911yescharacteristic
1188C2×SD16—591no—
1189C2×SD16—591no—
1190C2×SD16—591no—
1191C2×SD16—591no—
1192C2×SD16—591no—
1193C2×SD16—591no—
1194C2×SD16—591no—
1195C2×SD16—591no—
1196C2×SD16—2362no—
1197C2×SD16C22×D5911yescharacteristic
1198C2×SD16C22×D5911yescharacteristic
1199C2×SD16C22×D5911yescharacteristic
1200C2×SD16C22×D5911yescharacteristic
1201C2×D8—591no—
1202C2×D8—591no—
1203C2×D8—591no—
1204C2×D8—591no—
1205C2×D8—591no—
1206C2×D8—2362no—
1207C2×D8C22×D5911yescharacteristic
1208C2×M16—591no—
1209C2×M16C22×D5911yescharacteristic
1210C22×C8—591no—
1211C22×C8—591no—
1212C22×C8—591no—
1213C22×C8—591no—
1214C22×C8—591no—
1215C22×C8C22×D5911yescharacteristic
1216C4⋊Q8—591no—
1217C4⋊Q8—591no—
1218C4⋊Q8—591no—
1219C4⋊Q8—1181no—
1220C4⋊Q8—1181no—
1221C4⋊Q8C22×D5911yescharacteristic
1222#127—1181no—
1223#126—1181no—
1224#126—1181no—
1225#126—1181no—
1226#126—1181no—
1227#126—1181no—
1228#126—1181no—
1229#124—21no—
1230#124—591no—
1231#124—591no—
1232#124—591no—
1233#124—1181no—
1234#124—1181no—
1235#124—1181no—
1236#124—1181no—
1237#124—1181no—
1238#124—1181no—
1239#124—1181no—
1240#124—1181no—
1241#124—1181no—
1242#124—1181no—
1243#124—1181no—
1244#124—1181no—
1245#124C22×D5911yescharacteristic
1246#123—21no—
1247#123—21no—
1248#123—591no—
1249#123—591no—
1250#123—1181no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254#123—1181no—
1255#123—1181no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273C22⋊Q8—21no—
1274C22⋊Q8—591no—
1275C22⋊Q8—591no—
1276C22⋊Q8—591no—
1277C22⋊Q8—591no—
1278C22⋊Q8—591no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—1181no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8C22×D5911yescharacteristic
1291C22⋊Q8C22×D5911yescharacteristic
1292C22⋊Q8C22×D5911yescharacteristic
1293#121—21no—
1294#121—21no—
1295#121—591no—
1296#121—591no—
1297#121—591no—
1298#121—591no—
1299#121—591no—
1300#121—591no—
1301#121—591no—
1302#121—591no—
1303#121—591no—
1304#121—1181no—
1305#121—1181no—
1306#121—1181no—
1307#121—1181no—
1308#121—1181no—
1309#121—1181no—
1310#121—1181no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121C22×D5911yescharacteristic
1317#120—591no—
1318#120—591no—
1319#120—1181no—
1320#120—1181no—
1321#120—1181no—
1322#120—1181no—
1323#120—1181no—
1324#120—1181no—
1325#120—1181no—
1326#120—1181no—
1327#120—1181no—
1328#120—1181no—
1329#120—1181no—
1330C4×Q8—591no—
1331C4×Q8—1181no—
1332C4×Q8—1181no—
1333C4×Q8C22×D5911yescharacteristic
1334C4×D4—21no—
1335C4×D4—591no—
1336C4×D4—591no—
1337C4×D4—591no—
1338C4×D4—591no—
1339C4×D4—591no—
1340C4×D4—591no—
1341C4×D4—591no—
1342C4×D4—591no—
1343C4×D4—1181no—
1344C4×D4—1181no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347C4×D4—1181no—
1348C4×D4—1181no—
1349C4×D4—1181no—
1350C4×D4—1181no—
1351C4×D4—1181no—
1352C4×D4C22×D5911yescharacteristic
1353C4×D4C22×D5911yescharacteristic
1354#117—591no—
1355#117—591no—
1356#117—591no—
1357#117—591no—
1358#117—591no—
1359#117—591no—
1360#117—1181no—
1361#117—1181no—
1362C2×C4⋊C4—21no—
1363C2×C4⋊C4—1181no—
1364C2×C4⋊C4—1181no—
1365C2×C4⋊C4—1181no—
1366C2×C22⋊C4—1181no—
1367C2×C22⋊C4—1181no—
1368C2×C22⋊C4—1181no—
1369C2×C22⋊C4—1181no—
1370C2×C22⋊C4—1181no—
1371C2×C22⋊C4—1181no—
1372C2×C22⋊C4—1181no—
1373C2×C22⋊C4—1181no—
1374#107—591no—
1375#107—591no—
1376#107—591no—
1377#107C22×D5911yescharacteristic
1378#106—591no—
1379#106—591no—
1380#106—591no—
1381#106—591no—
1382C4⋊C8—591no—
1383C4⋊C8—591no—
1384C4⋊C8—591no—
1385C4⋊C8C22×D5911yescharacteristic
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#103—591no—
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103—591no—
1398#103C22×D5911yescharacteristic
1399#103C22×D5911yescharacteristic
1400#103C22×D5911yescharacteristic
1401#103C22×D5911yescharacteristic
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415#102—591no—
1416#102C22×D5911yescharacteristic
1417#102C22×D5911yescharacteristic
1418C22⋊C8—591no—
1419C22⋊C8—591no—
1420C22⋊C8—591no—
1421C22⋊C8—591no—
1422C22⋊C8—591no—
1423C22⋊C8—591no—
1424C22⋊C8—591no—
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8—591no—
1428C22⋊C8C22×D5911yescharacteristic
1429C22⋊C8C22×D5911yescharacteristic
1430#97—591no—
1431#97C22×D5911yescharacteristic
1432C4×C8—591no—
1433C4×C8—591no—
1434C24—591no—
1435C24—1181no—
1436C24—1181no—
1437C24—1181no—
1438C24—1181no—
1439#41—22no—
1440#41—22no—
1441#41—41no—
1442#41—41no—
1443#41—41no—
1444#41—41no—
1445#41—1182no—
1446#41—1182no—
1447#41—1182no—
1448#41—1182no—
1449#41—2361no—
1450#41—2361no—
1451#41—2361no—
1452#41—2364no—
1453#41—2364no—
1454#41—2361no—
1455#41—2361no—
1456#41—2361no—
1457#41—2361no—
1458#41—2361no—
1459#41—2361no—
1460#41—2361no—
1461#41—2364no—
1462C2×Q8—21no—
1463C2×Q8—41no—
1464C2×Q8—41no—
1465C2×Q8—591no—
1466C2×Q8—591no—
1467C2×Q8—1181no—
1468C2×Q8—1181no—
1469C2×Q8—1181no—
1470C2×Q8—2361no—
1471C2×Q8—2361no—
1472C2×Q8C23×D5911yescharacteristic
1473C2×Q8C23×D5911yescharacteristic
1474C2×Q8C23×D5911yescharacteristic
1475C2×Q8C23×D5911yescharacteristic
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—591no—
1481C2×D4—591no—
1482C2×D4—591no—
1483C2×D4—591no—
1484C2×D4—591no—
1485C2×D4—591no—
1486C2×D4—591no—
1487C2×D4—591no—
1488C2×D4—591no—
1489C2×D4—1182no—
1490C2×D4—1181no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1182no—
1500C2×D4—1182no—
1501C2×D4—1182no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—2361no—
1511C2×D4—2364no—
1512C2×D4—2361no—
1513C2×D4—2361no—
1514C2×D4—2361no—
1515C2×D4—2364no—
1516C2×D4—2364no—
1517C2×D4—2364no—
1518C2×D4D4×D5911yescharacteristic
1519C2×D4C23×D5911yescharacteristic
1520C2×D4C23×D5911yescharacteristic
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—591no—
1527C22×C4—591no—
1528C22×C4—591no—
1529C22×C4—591no—
1530C22×C4—591no—
1531C22×C4—591no—
1532C22×C4—1181no—
1533C22×C4—1181no—
1534C22×C4—1181no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—1181no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—2361no—
1545C22×C4—2361no—
1546C22×C4—2364no—
1547C22×C4C23×D5911yescharacteristic
1548C22×C4C23×D5911yescharacteristic
1549Q16—41no—
1550Q16—41no—
1551Q16—41no—
1552Q16—41no—
1553Q16—2361no—
1554Q16—2361no—
1555SD16—22no—
1556SD16—22no—
1557SD16—41no—
1558SD16—41no—
1559SD16—1182no—
1560SD16—1182no—
1561SD16—2361no—
1562SD16—2361no—
1563SD16—2361no—
1564SD16—2361no—
1565SD16—2361no—
1566SD16—2361no—
1567D8—22no—
1568D8—1182no—
1569D8—1182no—
1570D8—1182no—
1571D8—2361no—
1572D8—2361no—
1573M16—41no—
1574M16—2361no—
1575C2×C8—41no—
1576C2×C8—591no—
1577C2×C8—591no—
1578C2×C8—591no—
1579C2×C8—591no—
1580C2×C8—2361no—
1581C2×C8—2361no—
1582C2×C8—2361no—
1583C2×C8—2361no—
1584C2×C8—2361no—
1585C2×C8C23×D5911yescharacteristic
1586C2×C8C23×D5911yescharacteristic
1587C2×C8C23×D5911yescharacteristic
1588C2×C8C23×D5911yescharacteristic
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—591no—
1596C4⋊C4—591no—
1597C4⋊C4—591no—
1598C4⋊C4—591no—
1599C4⋊C4—591no—
1600C4⋊C4—591no—
1601C4⋊C4—591no—
1602C4⋊C4—591no—
1603C4⋊C4—591no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4—1181no—
1613C4⋊C4—1181no—
1614C4⋊C4—1181no—
1615C4⋊C4—1181no—
1616C4⋊C4—1181no—
1617C4⋊C4—1181no—
1618C4⋊C4D4×D5911yescharacteristic
1619C4⋊C4C23×D5911yescharacteristic
1620C4⋊C4C23×D5911yescharacteristic
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—591no—
1629C22⋊C4—591no—
1630C22⋊C4—591no—
1631C22⋊C4—591no—
1632C22⋊C4—591no—
1633C22⋊C4—591no—
1634C22⋊C4—591no—
1635C22⋊C4—591no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4—1181no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4D4×D5911yescharacteristic
1669C22⋊C4D4×D5911yescharacteristic
1670C42—21no—
1671C42—591no—
1672C42—1181no—
1673C42—1181no—
1674C42—1181no—
1675C42—1181no—
1676C42—1181no—
1677C42—1181no—
1678C42C23×D5911yescharacteristic
1679C23—21no—
1680C23—21no—
1681C23—591no—
1682C23—591no—
1683C23—591no—
1684C23—1184no—
1685C23—1181no—
1686C23—1181no—
1687C23—1181no—
1688C23—4721no—
1689C23—4721no—
1690C23—4721no—
1691C23—4721no—
1692C23—4721no—
1693C23—4721no—
1694C23—4721no—
1695C23—4721no—
1696C23—4721no—
1697C23—2361no—
1698C23—2361no—
1699C23—2361no—
1700C23—2362no—
1701C23—2362no—
1702C23C2×D4×D5911yescharacteristic
1703C23C2×D4×D5911yescharacteristic
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—21no—
1709Q8—21no—
1710Q8—21no—
1711Q8—21no—
1712Q8—81no—
1713Q8—1181no—
1714Q8—1181no—
1715Q8—4721no—
1716Q8—4721no—
1717Q8—2361no—
1718Q8—2362no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—41no—
1723D4—42no—
1724D4—42no—
1725D4—81no—
1726D4—81no—
1727D4—592no—
1728D4—1184no—
1729D4—1181no—
1730D4—1181no—
1731D4—1181no—
1732D4—1181no—
1733D4—1181no—
1734D4—4721no—
1735D4—4721no—
1736D4—4721no—
1737D4—4721no—
1738D4—4721no—
1739D4—4721no—
1740D4—4721no—
1741D4—4721no—
1742D4—4721no—
1743D4—2361no—
1744D4—2361no—
1745D4—2362no—
1746D4—2362no—
1747D4—2362no—
1748D4—2362no—
1749D4—2361no—
1750D4—2361no—
1751D4—2361no—
1752D4—2361no—
1753D4—2362no—
1754D4—2362no—
1755D4—2362no—
1756D4#1427377212yes—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—81no—
1770C2×C4—81no—
1771C2×C4—81no—
1772C2×C4—591no—
1773C2×C4—591no—
1774C2×C4—591no—
1775C2×C4—591no—
1776C2×C4—591no—
1777C2×C4—1181no—
1778C2×C4—1181no—
1779C2×C4—1181no—
1780C2×C4—1181no—
1781C2×C4—1181no—
1782C2×C4—1181no—
1783C2×C4—1181no—
1784C2×C4—1181no—
1785C2×C4—1181no—
1786C2×C4—1181no—
1787C2×C4—1181no—
1788C2×C4—4721no—
1789C2×C4—4721no—
1790C2×C4—4721no—
1791C2×C4—4721no—
1792C2×C4—4721no—
1793C2×C4—4721no—
1794C2×C4—2361no—
1795C2×C4—2361no—
1796C2×C4—2362no—
1797C2×C4—2362no—
1798C2×C4—2362no—
1799C2×C4—2362no—
1800C2×C4—2362no—
1801C2×C4—2361no—
1802C2×C4—2362no—
1803C2×C4C2×D4×D5911yescharacteristic
1804C2×C4C2×D4×D5911yescharacteristic
1805C2×C4C2×D4×D5911yescharacteristic
1806C2×C4C2×D4×D5911yescharacteristic
1807C2×C4C24×D5911yescharacteristic
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—1181no—
1813C8—1181no—
1814C8—1181no—
1815C8—1181no—
1816C22—21no—
1817C22—21no—
1818C22—22no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—1181no—
1829C22—1181no—
1830C22—1181no—
1831C22—1182no—
1832C22—1181no—
1833C22—1181no—
1834C22—1181no—
1835C22—1181no—
1836C22—1181no—
1837C22—1181no—
1838C22—9442no—
1839C22—9442no—
1840C22—9442no—
1841C22—4724no—
1842C22—4722no—
1843C22—2361no—
1844C22—2361no—
1845C22—2361no—
1846C22—2361no—
1847C22—2361no—
1848C22—2361no—
1849C22—2361no—
1850C22—2361no—
1851C22C22×D4×D5911yescharacteristic
1852C4—21no—
1853C4—21no—
1854C4—21no—
1855C4—21no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—1181no—
1863C4—1181no—
1864C4—1181no—
1865C4—1181no—
1866C4—1181no—
1867C4—2361no—
1868C4—2361no—
1869C4—2361no—
1870C4—2361no—
1871C4—2361no—
1872C4H(5,𝔽2)×D5911yescharacteristic
1873C4C2×#1427377211yescharacteristic
1874C2—41no—
1875C2—41no—
1876C2—42no—
1877C2—81no—
1878C2—4721no—
1879C2—4721no—
1880C2—2361no—
1881C2—2361no—
1882C2—2361no—
1883C2—2362no—
1884C2#2143772411yescharacteristic
1885C2#2143886611yescharacteristic
1886C2#2143886911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3269C2
socleC22×C59C23×D4
hypercenter#3269D59
hypocenterC59#61636
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3269

Complements

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

NH ≅ G/Ntype
1. #21438370C2semidirect
2. #21437735C2semidirect
3. #21436254C2semidirect
4. #21436247C2semidirect
5. #21436137C2semidirect
6. #21436136C2semidirect
7. #21436024C2semidirect
8. #21436017C2semidirect
9. #21436016C2semidirect
10. #21436008C2semidirect
11. #21435804C2semidirect
12. #21435796C2semidirect
13. #21435776C2semidirect
14. #21435775C2semidirect
15. #21435645C2semidirect
16. #21435625C2semidirect
17. #21435620C2semidirect
18. #21435212C2semidirect
19. #21435200C2semidirect
20. #21434989C2semidirect
21. #21434964C2semidirect
22. #21434890C2semidirect
23. #21434888C2semidirect
24. #21434284C2semidirect
25. #21434277C2semidirect
26. #21433372C2semidirect
27. #21433361C2semidirect
28. #21433317C2semidirect
29. #21433310C2semidirect
30. #21433147C2semidirect
31. C59×#3269C2semidirect
33. C2×#41×D59C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273750C22semidirect
36. C2×#14273748C22semidirect
37. C2×#14273747C22semidirect
38. C22×#11745671C22semidirect
39. C2×D8×D59C22semidirect
43. #16838125C22semidirect
44. #16838123C22semidirect
45. #16838117C22semidirect
46. #16838116C22semidirect
48. #16838063C22semidirect
52. #16838051C22semidirect
54. #16838048C22semidirect
56. #16838045C22semidirect
58. #16838043C22semidirect
61. #16838040C22semidirect
62. #16838024C22semidirect
64. #16838021C22semidirect
68. #16837977C22semidirect
74. #16837915C22semidirect
75. #16837915C22semidirect
77. #16837909C22semidirect
80. #16837874C22semidirect
81. #16837795C22semidirect
82. #16837787C22semidirect
83. #16837784C22semidirect
84. #16837763C22semidirect
85. #16837762C22semidirect
86. #16837752C22semidirect
87. #16837751C22semidirect
88. #16837745C22semidirect
89. #16837744C22semidirect
90. #16837742C22semidirect
91. #16837742C22semidirect
92. #16837742C22semidirect
93. #16837741C22semidirect
94. #16837740C22semidirect
95. #16837740C22semidirect
96. #16837729C22semidirect
97. #16837729C22semidirect
98. #16837727C22semidirect
99. #16837724C22semidirect
100. #16837692C22semidirect
101. #16837690C22semidirect
102. #16837683C22semidirect
103. #16837681C22semidirect
104. #16837659C22semidirect
105. #16837657C22semidirect
106. #16837648C22semidirect
107. #16837642C22semidirect
108. #16837640C22semidirect
109. #16837640C22semidirect
110. #16837638C22semidirect
111. #16837637C22semidirect
112. #16837634C22semidirect
113. #16837633C22semidirect
114. #16837633C22semidirect
115. #16837633C22semidirect
116. #16837629C22semidirect
117. #16837628C22semidirect
118. #16837626C22semidirect
119. #16837624C22semidirect
120. #16837620C22semidirect
121. #16837619C22semidirect
122. #16837619C22semidirect
123. #16837618C22semidirect
124. #16837614C22semidirect
125. #16837610C22semidirect
126. #16837605C22semidirect
127. #16837604C22semidirect
128. #16837563C22semidirect
129. #16837563C22semidirect
130. #16837563C22semidirect
131. #16837563C22semidirect
132. #16837563C22semidirect
133. #16837563C22semidirect
134. #16837562C22semidirect
135. #16837561C22semidirect
136. #16837558C22semidirect
137. #16837556C22semidirect
138. #16837556C22semidirect
139. #16837554C22semidirect
140. #16837551C22semidirect
141. #16837551C22semidirect
142. #16837551C22semidirect
143. #16837551C22semidirect
144. #16837551C22semidirect
146. #16837550C22semidirect
147. #16837549C22semidirect
148. #16837547C22semidirect
149. #16837547C22semidirect
150. #16837547C22semidirect
152. #16837546C22semidirect
153. #16837544C22semidirect
154. #16837542C22semidirect
155. #16837539C22semidirect
156. #16837538C22semidirect
158. #16837535C22semidirect
160. #16837515C22semidirect
161. #16837511C22semidirect
162. #16837503C22semidirect
163. C4×#11745671C22semidirect
164. #16837487C22semidirect
165. D8×Dic59C22semidirect
166. C4×#11745669C22semidirect
167. #16837475C22semidirect
168. #16837471C22semidirect
169. #16837470C22semidirect
170. D4×C59⋊C8C22semidirect
171. #16837467C22semidirect
172. C8×C22⋊D59C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837464C22semidirect
175. #16837462C22semidirect
176. #16837408C22semidirect
177. #16837405C22semidirect
178. #16837399C22semidirect
179. #16837398C22semidirect
180. #16837398C22semidirect
181. #16837397C22semidirect
182. #16837397C22semidirect
183. #16837395C22semidirect
186. C2×(C2×D59)⋊C8C22semidirect
187. C22⋊C8×D59C22semidirect
188. C2×#137×C59C22semidirect
189. C2×#135×C59C22semidirect
190. C59×#548C22semidirect
191. C59×#547C22semidirect
192. C59×#497C22semidirect
193. C59×#468C22semidirect
194. C59×#467C22semidirect
195. C59×#463C22semidirect
196. C59×#462C22semidirect
197. C59×#452C22semidirect
198. C59×#452C22semidirect
199. C59×#451C22semidirect
200. C59×#449C22semidirect
201. C59×#440C22semidirect
202. C59×#435C22semidirect
946. #3269D59semidirect
977. C2×#137C2×D59semidirect
982. C2×#135C2×D59semidirect
994. #548C2×D59semidirect
1000. #547C2×D59semidirect
1029. #497C2×D59semidirect
1055. #468C2×D59semidirect
1059. #467C2×D59semidirect
1075. #463C2×D59semidirect
1077. #462C2×D59semidirect
1088. #452C2×D59semidirect
1089. #452C2×D59semidirect
1093. #451C2×D59semidirect
1109. #449C2×D59semidirect
1119. #440C2×D59semidirect
1127. #435C2×D59semidirect
1146. C59#61636semidirect

Maximal subgroups

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

subgroupindex
#214383702
#214377352
#214362542
#214362472
#214361372
#214361362
#214360242
#214360172
#214360162
#214360082
#214358042
#214357962
#214357762
#214357752
#214356452
#214356252
#214356202
#214352122
#214352002
#214349892
#214349642
#214348902
#214348882
#214342842
#214342772
#214333722
#214333612
#214333172
#214333102
#214331472
C59×#32692
#6163659