Finite Group Databasebeta

← #29470621

Subgroups — #29470621

Order 15104.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437709C211yesmaximal, characteristic, complemented
2D4×#11745685C211yesmaximal, characteristic, complemented
3#21437119C211yesmaximal, characteristic, complemented
4#21437012C211yesmaximal, characteristic, complemented
5#21436828C211yesmaximal, characteristic, complemented
6#21436809C211yesmaximal, characteristic, complemented
7#21436543C211yesmaximal, characteristic, complemented
8#21436534C211yesmaximal, characteristic, complemented
9#21436438C211yesmaximal, characteristic, complemented
10#21436121C211yesmaximal, characteristic, complemented
11#21436114C211yesmaximal, characteristic, complemented
12#21436094C211yesmaximal, characteristic, complemented
13#21436085C211yesmaximal, characteristic, complemented
14#21435959C211yesmaximal, characteristic, complemented
15#21435902C211yesmaximal, characteristic, complemented
16#21435790C211yesmaximal, characteristic, complemented
17#21435597C211yesmaximal, characteristic, complemented
18#21435595C211yesmaximal, characteristic, complemented
19#21434811C211yesmaximal, characteristic, complemented
20#21434795C211yesmaximal, characteristic, complemented
21#21434792C211yesmaximal, characteristic, complemented
22#21434243C211yesmaximal, characteristic, complemented
23#21434232C211yesmaximal, characteristic, complemented
24#21434219C211yesmaximal, characteristic, complemented
25#21434216C211yesmaximal, characteristic, complemented
26#21434193C211yesmaximal, characteristic, complemented
27#21433105C211yesmaximal, characteristic, complemented
28#21432907C211yesmaximal, characteristic, complemented
29C2×#16837502C211yesmaximal, characteristic, complemented
30#440×D59C211yesmaximal, characteristic, complemented
31C59×#3114C211yesmaximal, characteristic, complemented
32C22×#11745685—21no—
33C2×#14273751C2211yescharacteristic
34C22×#11745670C2211yescharacteristic
35C2×SD16×D59C2211yescharacteristic
36#16838129C2211yescharacteristic, complemented
37#16838121C2211yescharacteristic, complemented
38#16838119—21no—
39#16838094C2211yescharacteristic, complemented
40#16838090C2211yescharacteristic, complemented
41#16838089—21no—
42#16838088—21no—
43#16838073C2211yescharacteristic
44D4×Dic118C2211yescharacteristic
45#16838065C2211yescharacteristic, complemented
46#16838061—21no—
47#16838060C2211yescharacteristic, complemented
48#16838058C2211yescharacteristic, complemented
49#16838057C2211yescharacteristic
50#16838053C2211yescharacteristic
51#16838053C2211yescharacteristic
52#16838052C2211yescharacteristic, complemented
53#16838050—21no—
54#16838048—21no—
55#16838042—21no—
56#16838042—21no—
57D4×D236C2211yescharacteristic
58D4×C22⋊D59C2211yescharacteristic
59D4×C22⋊D59C2211yescharacteristic
60#16837956C2211yescharacteristic, complemented
61#16837955—21no—
62#16837952C2211yescharacteristic
63#16837949C2211yescharacteristic
64#16837949C2211yescharacteristic
65#16837934C2211yescharacteristic, complemented
66#16837932—21no—
67#16837930—21no—
68#16837913—21no—
69#16837911—21no—
70#16837911—21no—
71C4×#11745685C2211yescharacteristic
72C4×#11745687—21no—
73C4×#11745687C2211yescharacteristic, complemented
74C2×C4×Dic118C2211yescharacteristic, complemented
75C4×Q8×D59C2211yescharacteristic, complemented
76C4×D4×D59C2211yescharacteristic
77C4×D4×D59C2211yescharacteristic
78#16837812C2211yescharacteristic, complemented
79#16837809C2211yescharacteristic, complemented
80#16837806C2211yescharacteristic, complemented
81#16837792C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic, complemented
84#16837768C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837761C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837751C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837734C2211yescharacteristic, complemented
93#16837728C2211yescharacteristic, complemented
94#16837724C2211yescharacteristic, complemented
95#16837717C2211yescharacteristic, complemented
96#16837716C2211yescharacteristic, complemented
97#16837716C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837701C2211yescharacteristic, complemented
101#16837700C2211yescharacteristic
102#16837698C2211yescharacteristic, complemented
103#16837698C2211yescharacteristic, complemented
104#16837696C2211yescharacteristic, complemented
105#16837695C2211yescharacteristic, complemented
106#16837686C2211yescharacteristic, complemented
107#16837681C2211yescharacteristic, complemented
108#16837680C2211yescharacteristic
109#16837680C2211yescharacteristic, complemented
110#16837651C2211yescharacteristic, complemented
111#16837649C2211yescharacteristic, complemented
112#16837647C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837636C2211yescharacteristic, complemented
116#16837636C2211yescharacteristic, complemented
117#16837635C2211yescharacteristic, complemented
118#16837633C2211yescharacteristic, complemented
119#16837633C2211yescharacteristic, complemented
120#16837632C2211yescharacteristic, complemented
121#16837630C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic, complemented
123#16837615C2211yescharacteristic
124#16837606C2211yescharacteristic, complemented
125#16837605C2211yescharacteristic
126#16837603C2211yescharacteristic, complemented
127#16837603C2211yescharacteristic, complemented
128#16837601C2211yescharacteristic, complemented
129#16837601C2211yescharacteristic, complemented
130#16837600C2211yescharacteristic, complemented
131#16837595C2211yescharacteristic, complemented
132#16837554C2211yescharacteristic
133#16837554C2211yescharacteristic
134#16837551C2211yescharacteristic
135#16837548C2211yescharacteristic, complemented
136#16837544C2211yescharacteristic, complemented
137#16837543C2211yescharacteristic, complemented
138#16837543C2211yescharacteristic, complemented
139#16837542C2211yescharacteristic, complemented
140#16837539C2211yescharacteristic, complemented
141#16837534C2211yescharacteristic
142#16837531C2211yescharacteristic, complemented
143#16837531C2211yescharacteristic, complemented
144#16837512C2211yescharacteristic, complemented
145#16837512C2211yescharacteristic, complemented
146#16837505C2211yescharacteristic, complemented
147#16837504C2211yescharacteristic, complemented
148#16837504C2211yescharacteristic, complemented
149#16837504C2211yescharacteristic, complemented
150#16837504C2211yescharacteristic, complemented
151#16837503C2211yescharacteristic
152#16837502C2211yescharacteristic
153#16837502C2211yescharacteristic
154#16837502C2211yescharacteristic
155#16837502C2211yescharacteristic
156#16837502C2211yescharacteristic, complemented
157#16837502C2211yescharacteristic, complemented
158#16837502C2211yescharacteristic, complemented
159#16837502C2211yescharacteristic, complemented
160#16837501C2211yescharacteristic, complemented
161#16837500C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic, complemented
163#16837499C2211yescharacteristic
164#16837493C2211yescharacteristic
165#16837489C2211yescharacteristic, complemented
166D8×Dic59C2211yescharacteristic
167#16837482C2211yescharacteristic, complemented
168#16837472C2211yescharacteristic, complemented
169#16837472C2211yescharacteristic, complemented
170#16837470C2211yescharacteristic, complemented
171#16837470C2211yescharacteristic, complemented
172(C22⋊D59)⋊C8C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837457C2211yescharacteristic, complemented
175#16837457C2211yescharacteristic, complemented
176#16837441C2211yescharacteristic, complemented
177C2×#14273660C2211yescharacteristic, complemented
178#107×D59C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic
180#16837400C2211yescharacteristic, complemented
181C2×#14273650C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183C2×#14273648C2211yescharacteristic
184#102×D59C2211yescharacteristic
185#16837354C2211yescharacteristic, complemented
186C2×#14273638C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#529C2211yescharacteristic, complemented
189C2×C4×D4×C59C2211yescharacteristic
190C59×#483C2211yescharacteristic, complemented
191C59×#480C2211yescharacteristic, complemented
192C59×#478C2211yescharacteristic
193C59×#478C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic
195C59×#463C2211yescharacteristic, complemented
196C59×#450C2211yescharacteristic
197C59×#447C2211yescharacteristic
198C59×#442C2211yescharacteristic
199C59×#442C2211yescharacteristic, complemented
200C59×#440C2211yescharacteristic
201C59×#440C2211yescharacteristic, complemented
202C59×#432C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685—21no—
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685—48no—
211C2×#11745685D411yescharacteristic
212C2×#11745687—21no—
213C2×#11745687C2311yescharacteristic
214C22×Dic118—21no—
215C22×Dic118C2311yescharacteristic
216C2×Q8×D59C2311yescharacteristic
217C22×D236—21no—
218C22×C22⋊D59—21no—
219C22×C22⋊D59—21no—
220C2×D4×D59C2311yescharacteristic
221C2×D4×D59C2311yescharacteristic
222C22×C4×D59—21no—
223C22×C4×D59—21no—
224#14273751—24no—
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745660C2311yescharacteristic
229C2×#11745670—24no—
230C2×#11745670C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235C2×#11745671C2311yescharacteristic
236SD16×D59—24no—
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745659C2311yescharacteristic
240C2×#11745659C2311yescharacteristic
241C22×C59⋊C8C2311yescharacteristic
242C22×C59⋊C8C2311yescharacteristic
243C2×C8×D59C2311yescharacteristic
244C2×C8×D59C2311yescharacteristic
245#14273727C2311yescharacteristic
246#14273726—21no—
247#14273726—21no—
248#14273726C2311yescharacteristic
249#14273726C2311yescharacteristic
250#14273726C2311yescharacteristic
251#14273725C2311yescharacteristic
252#14273724C2311yescharacteristic
253#14273723C2311yescharacteristic
254#14273723C2311yescharacteristic
255#14273722—21no—
256#14273722—21no—
257#14273720—21no—
258#14273720—21no—
259#14273720—21no—
260#14273718—21no—
261#14273718—21no—
262#14273718C2311yescharacteristic
263#14273717—21no—
264#14273717—21no—
265#14273717—21no—
266#14273715—21no—
267#14273714C2311yescharacteristic
268#14273713—21no—
269#14273713—21no—
270#14273713—21no—
271#14273713—21no—
272#14273712—21no—
273#14273712—21no—
274#14273712—21no—
275#14273711—21no—
276#14273710—21no—
277#14273710—21no—
278#14273709—21no—
279#14273709—21no—
280#14273709—21no—
281#14273709—21no—
282#14273708—21no—
283#14273707C2311yescharacteristic
284#14273707C2311yescharacteristic
285#14273706—21no—
286#14273706—21no—
287#14273705—21no—
288#14273705—21no—
289#14273705—21no—
290#14273705—21no—
291#14273704—21no—
292#14273704—21no—
293#14273704—21no—
294#14273704—21no—
295#14273704—21no—
296#14273704—21no—
297#14273704—21no—
298#14273703C2311yescharacteristic
299#14273702C2311yescharacteristic
300#14273702C2311yescharacteristic
301#14273701—21no—
302#14273701—21no—
303#14273701—21no—
304#14273701C2311yescharacteristic
305#14273701C2311yescharacteristic
306#14273700—21no—
307#14273700—21no—
308#14273700—21no—
309#14273700—21no—
310#14273700—21no—
311#14273699—21no—
312#14273699—21no—
313#14273699—21no—
314#14273698C2311yescharacteristic
315#14273698C2311yescharacteristic
316#14273698C2311yescharacteristic
317#14273697—21no—
318#14273697—21no—
319#14273696—21no—
320#14273696—21no—
321#14273695—21no—
322#14273695—21no—
323Q8×Dic59C2311yescharacteristic
324C4×Dic118—21no—
325C4×Dic118—21no—
326C4×Dic118—21no—
327C4×Dic118—21no—
328C4×Dic118D411yescharacteristic
329C4×Dic118C2311yescharacteristic
330C4×Dic118C2311yescharacteristic
331C4×Dic118C2311yescharacteristic
332C4×Dic118C2311yescharacteristic
333C4×Dic118C2311yescharacteristic
334#14273692—21no—
335#14273692—21no—
336#14273692C2311yescharacteristic
337#14273692C2311yescharacteristic
338C4×D236—21no—
339C4×D236D411yescharacteristic
340C4×D236C2311yescharacteristic
341C4×D236C2311yescharacteristic
342C4×D236C2311yescharacteristic
343D4×Dic59—21no—
344D4×Dic59C2311yescharacteristic
345D4×Dic59C2311yescharacteristic
346D4×Dic59C2311yescharacteristic
347#14273689C2311yescharacteristic
348#14273689C2311yescharacteristic
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59—21no—
354C4×C22⋊D59—21no—
355C4×C22⋊D59D411yescharacteristic
356C4×C22⋊D59D411yescharacteristic
357C4×C22⋊D59C2311yescharacteristic
358C4×C22⋊D59C2311yescharacteristic
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364#14273686—21no—
365#14273686D411yescharacteristic
366#14273685—21no—
367#14273685C2311yescharacteristic
368#14273684—21no—
369#14273684D411yescharacteristic
370#14273684D411yescharacteristic
371#14273683—21no—
372#14273683—21no—
373#14273683—21no—
374C2×C4⋊Dic59C2311yescharacteristic
375C2×Dic59⋊C4—21no—
376C4⋊C4×D59—21no—
377C4⋊C4×D59C2311yescharacteristic
378C4⋊C4×D59C2311yescharacteristic
379C4⋊C4×D59C2311yescharacteristic
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C2×C4×Dic59—21no—
383C2×C4×Dic59—21no—
384C42×D59—21no—
385C42×D59C2311yescharacteristic
386C42×D59C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273661C2311yescharacteristic
390#14273661C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431#14273638C2311yescharacteristic
432#14273638C2311yescharacteristic
433#14273638C2311yescharacteristic
434#14273638C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C22×D4×C59C2311yescharacteristic
440C23×C4×C59—21no—
441C2×SD16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445#126×C59—21no—
446#125×C59C2311yescharacteristic
447#124×C59C2311yescharacteristic
448#123×C59—21no—
449C22⋊Q8×C59C2311yescharacteristic
450#121×C59C2311yescharacteristic
451C4×Q8×C59C2311yescharacteristic
452C4×D4×C59—21no—
453C4×D4×C59—21no—
454C4×D4×C59—21no—
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460#117×C59—21no—
461C2×C4⋊C4×C59C2311yescharacteristic
462C2×C22⋊C4×C59—21no—
463C2×C42×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469C4⋊C8×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482C24×C59—21no—
483C23×D59—21no—
484C23×D59—21no—
485C2×Q8×C59C2411yescharacteristic
486C2×D4×C59—22no—
487C2×D4×C59—21no—
488C2×D4×C59—21no—
489C2×D4×C59—41no—
490C2×D4×C59C2411yescharacteristic
491C2×D4×C59C2411yescharacteristic
492C2×D4×C59C2411yescharacteristic
493C22×C4×C59—21no—
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—44no—
500C22×C4×C59C2×D411yescharacteristic
501C22×C4×C59C2×D411yescharacteristic
502C22×C4×C59C2411yescharacteristic
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—44no—
516C2×C22⋊D59—44no—
517C2×C22⋊D59C2×D411yescharacteristic
518C2×C22⋊D59C2×D411yescharacteristic
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525Q8×D59—22no—
526Q8×D59—41no—
527#11745687—22no—
528#11745687—41no—
529#11745687—44no—
530D4×D59—22no—
531D4×D59—22no—
532D4×D59—41no—
533D4×D59—41no—
534#11745685—24no—
535#11745685—44no—
536#11745685—44no—
537#11745685—44no—
538#11745685—44no—
539#11745685—44no—
540#11745685—44no—
541#11745685—44no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—21no—
546C2×D236—44no—
547C2×D236C2×D411yescharacteristic
548C2×D236C2411yescharacteristic
549C2×D236C2411yescharacteristic
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—44no—
559C2×C4×D59—44no—
560C2×C4×D59C2×D411yescharacteristic
561C2×C4×D59C2×D411yescharacteristic
562C2×C4×D59C2×D411yescharacteristic
563C2×C4×D59C2×D411yescharacteristic
564C2×C4×D59C2411yescharacteristic
565C2×C4×D59C2411yescharacteristic
566C2×Dic118—22no—
567C2×Dic118—21no—
568C2×Dic118—21no—
569C2×Dic118—21no—
570C2×Dic118—21no—
571C2×Dic118—21no—
572C2×Dic118—21no—
573C2×Dic118—41no—
574C2×Dic118—44no—
575C2×Dic118C2×D411yescharacteristic
576C2×Dic118C2411yescharacteristic
577C2×Dic118C2411yescharacteristic
578SD16×C59—22no—
579SD16×C59—41no—
580D8×C59—22no—
581D8×C59—41no—
582C2×C8×C59C2411yescharacteristic
583C2×C8×C59C2411yescharacteristic
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C4⋊C4×C59—21no—
587C4⋊C4×C59—21no—
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59C2411yescharacteristic
592C4⋊C4×C59C2411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C42×C59—21no—
605C42×C59C2×D411yescharacteristic
606C42×C59C2×D411yescharacteristic
607C42×C59C2411yescharacteristic
608C42×C59C2411yescharacteristic
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59C2×D411yescharacteristic
618C22⋊Dic59C2×D411yescharacteristic
619#11745671—22no—
620#11745671—41no—
621#11745670—22no—
622#11745670—22no—
623#11745670—22no—
624#11745670#4114yescomplemented
625#11745669—22no—
626#11745669—41no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4C2×D411yescharacteristic
640(C2×D59)⋊C4C2×D411yescharacteristic
641(C2×D59)⋊C4C2×D411yescharacteristic
642(C2×D59)⋊C4C2×D411yescharacteristic
643C4⋊Dic59—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59C2×D411yescharacteristic
650C4⋊Dic59C2×D411yescharacteristic
651C4⋊Dic59C2411yescharacteristic
652C4⋊Dic59C2411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
654C4⋊Dic59C2411yescharacteristic
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4C2×D411yescharacteristic
672Dic59⋊C4C2×D411yescharacteristic
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675C4×Dic59—21no—
676C4×Dic59—21no—
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59C2×D411yescharacteristic
684C4×Dic59C2×D411yescharacteristic
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2×D411yescharacteristic
687C4×Dic59C2411yescharacteristic
688C4×Dic59C2411yescharacteristic
689C2×C59⋊C8—22no—
690C2×C59⋊C8—41no—
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695#11745660—22no—
696#11745660—22no—
697#11745660—41no—
698#11745660—41no—
699#11745659—22no—
700#11745659—41no—
701C8×D59—22no—
702C8×D59—41no—
703C23×C59—21no—
704C23×C59—21no—
705C23×C59—21no—
706C23×C59—42no—
707C23×C59—42no—
708C23×C59—81no—
709C23×C59C22×D411yescharacteristic
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—42no—
713C22×D59—42no—
714C22×D59—42no—
715C22×D59—42no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59C22×D411yescharacteristic
719C22×D59C22×D411yescharacteristic
720Q8×C59—21no—
721Q8×C59—21no—
722D4×C59—21no—
723D4×C59—21no—
724D4×C59—21no—
725D4×C59—21no—
726D4×C59—21no—
727D4×C59—42no—
728D4×C59—42no—
729D4×C59C2×#4112yes—
730C2×C4×C59—22no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—41no—
739C2×C4×C59—42no—
740C2×C4×C59—42no—
741C2×C4×C59—42no—
742C2×C4×C59—42no—
743C2×C4×C59—42no—
744C2×C4×C59—42no—
745C2×C4×C59C22×D411yescharacteristic
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C2511yescharacteristic
751C22⋊D59—22no—
752C22⋊D59—42no—
753C22⋊D59—42no—
754C22⋊D59—42no—
755C22⋊D59—42no—
756C22⋊D59—42no—
757C22⋊D59—42no—
758C22⋊D59—42no—
759C22⋊D59—42no—
760C22⋊D59—42no—
761C22⋊D59—42no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C22⋊D59AGL(1,ℤ/8)14yescomplemented
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—42no—
772C2×Dic59—42no—
773C2×Dic59—42no—
774C2×Dic59—42no—
775C2×Dic59—42no—
776C2×Dic59—42no—
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783D236—22no—
784D236—21no—
785D236—21no—
786D236—21no—
787D236—21no—
788D236—42no—
789D236—42no—
790D236—42no—
791D236—81no—
792C4×D59—22no—
793C4×D59—21no—
794C4×D59—21no—
795C4×D59—21no—
796C4×D59—21no—
797C4×D59—22no—
798C4×D59—41no—
799C4×D59—41no—
800C4×D59—42no—
801C4×D59—42no—
802C4×D59—42no—
803C4×D59—42no—
804C4×D59—42no—
805C4×D59—42no—
806C4×D59—42no—
807C4×D59—42no—
808Dic118—21no—
809Dic118—22no—
810Dic118—21no—
811Dic118—21no—
812Dic118—42no—
813Dic118—42no—
814Dic118—42no—
815Dic118—42no—
816Dic118—42no—
817Dic118—42no—
818Dic118C2×#4112yescomplemented
819C8×C59—21no—
820C8×C59—21no—
821C8×C59—21no—
822C8×C59—21no—
823C59⋊C8—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8C2×#4112yescomplemented
827#61452—591nomaximal, Sylow
828C22×C59—21no—
829C22×C59—21no—
830C22×C59—22no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—84no—
840C22×C59C2×AGL(1,ℤ/8)12yes—
841C22×C59C23×D411yescharacteristic
842C2×D59—21no—
843C2×D59—21no—
844C2×D59—21no—
845C2×D59—21no—
846C2×D59—21no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—84no—
854C2×D59—84no—
855C2×D59C2×AGL(1,ℤ/8)12yes—
856C4×C59—21no—
857C4×C59—21no—
858C4×C59—21no—
859C4×C59—21no—
860C4×C59—21no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59C22×#4111yescharacteristic
867C4×C59#58511yescharacteristic
868Dic59—21no—
869Dic59—21no—
870Dic59—22no—
871Dic59—21no—
872Dic59—21no—
873Dic59—21no—
874Dic59—41no—
875Dic59—41no—
876Dic59—41no—
877Dic59—41no—
878Dic59—41no—
879Dic59C2×AGL(1,ℤ/8)12yes—
880#3482—591no—
881D4×#41—591no—
882#3397—591no—
883#3386—591no—
884#3368—591no—
885#3367—591no—
886#3343—591no—
887#3343—591no—
888#3334—591no—
889#3310—591no—
890#3310—591no—
891#3308—591no—
892#3308—591no—
893#3298—591no—
894#3294—591no—
895D4×SD16—591no—
896#3265—591no—
897#3265—591no—
898#3182—591no—
899#3180—591no—
900#3180—591no—
901#3115—591no—
902#3114—591no—
903#3114D5911yescharacteristic, complemented
904#3112—591no—
905#3112—591no—
906#3110—591no—
907#2970—591no—
908C4×AGL(1,ℤ/8)—591no—
909C2×#440—591no—
910C2×#440—591no—
911C2×C59—22no—
912C2×C59—42no—
913C2×C59—81no—
914C2×C59—81no—
915C2×C59D4×#4111yescharacteristic
916C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
917C2×C59#358611yescharacteristic
918D59—22no—
919D59—41no—
920D59—81no—
921D59—81no—
922C22×#41—1181no—
923C2×AGL(1,ℤ/8)—591no—
924C22×SD16—591no—
925C22×SD16—591no—
926#557—591no—
927#556—591no—
928#556—1181no—
929#552—591no—
930#552—591no—
931#552—1181no—
932#552—1181no—
933#550—591no—
934D4×Q8—591no—
935D4×Q8—591no—
936#548—591no—
937#548—591no—
938#548—1181no—
939#547—591no—
940#547—591no—
941#547—591no—
942#547—591no—
943#547—1181no—
944#546—1181no—
945#546—1181no—
946#546—1181no—
947D42—591no—
948D42—591no—
949D42—591no—
950#533—591no—
951#533—1181no—
952#532—591no—
953#532—591no—
954#532—591no—
955#529—591no—
956#529—1181no—
957#529—1181no—
958#529C2×D5911yescharacteristic, complemented
959#525—1181no—
960#525—1181no—
961#525—1181no—
962C4×#41—591no—
963C4×#41—591no—
964C4×#41—1181no—
965C2×C4×Q8—591no—
966C2×C4×Q8—591no—
967C2×C4×D4—591no—
968C2×C4×D4—591no—
969C2×C4×D4C2×D5911yescharacteristic
970#501—591no—
971#501—591no—
972#500—591no—
973#496—591no—
974#496—591no—
975#492—591no—
976#490—591no—
977#490—591no—
978#489—591no—
979#489—591no—
980#487—591no—
981#486—591no—
982#484—591no—
983#484—591no—
984#483—591no—
985#483C2×D5911yescharacteristic, complemented
986#482—591no—
987#482—591no—
988#480—591no—
989#480—591no—
990#480—591no—
991#480—591no—
992#480—591no—
993#480C2×D5911yescharacteristic, complemented
994#478—591no—
995#478—591no—
996#478C2×D5911yescharacteristic
997#478C2×D5911yescharacteristic, complemented
998#477—591no—
999#477—591no—
1000#477—591no—
1001#477—591no—
1002#475—591no—
1003#474—591no—
1004#474—591no—
1005#474—591no—
1006#468—591no—
1007#468—591no—
1008#468—591no—
1009#468—591no—
1010#466—591no—
1011#466—591no—
1012#466—591no—
1013#466—591no—
1014#465—591no—
1015#465—591no—
1016#465—591no—
1017#465—591no—
1018#463—591no—
1019#463—591no—
1020#463C2×D5911yescharacteristic
1021#463C2×D5911yescharacteristic, complemented
1022#461—591no—
1023#461—591no—
1024#460—591no—
1025#460—591no—
1026#460—591no—
1027#460—591no—
1028#460—591no—
1029#459—591no—
1030#450—591no—
1031#450—591no—
1032#450—591no—
1033#450C2×D5911yescharacteristic
1034#449—591no—
1035#449—591no—
1036#448—591no—
1037#448—591no—
1038#448—591no—
1039#448—591no—
1040#447—591no—
1041#447C2×D5911yescharacteristic
1042#446—591no—
1043#446—591no—
1044#442—591no—
1045#442—591no—
1046#442C2×D5911yescharacteristic
1047#442C2×D5911yescharacteristic, complemented
1048#440—591no—
1049#440—591no—
1050#440—591no—
1051#440—591no—
1052#440—591no—
1053#440—591no—
1054#440—591no—
1055#440—591no—
1056#440—591no—
1057#440—591no—
1058#440—591no—
1059#440—591no—
1060#440—591no—
1061#440—591no—
1062#440—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066#440C2×D5911yescharacteristic
1067#440C2×D5911yescharacteristic, complemented
1068C4×SD16—591no—
1069C4×SD16—591no—
1070C4×D8—591no—
1071C4×D8—591no—
1072#435—591no—
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076C8×D4—591no—
1077C8×D4—591no—
1078#432—591no—
1079#432—591no—
1080#432C2×D5911yescharacteristic, complemented
1081#428—591no—
1082C2×#107—591no—
1083C2×#107—591no—
1084#418—591no—
1085#417—591no—
1086C2×#103—591no—
1087C2×#103—591no—
1088C2×#102—591no—
1089C2×#102—591no—
1090C4×M16—591no—
1091C2×#97—591no—
1092C2×#97—591no—
1093C59#6145211yescharacteristic, complemented, Sylow
1094C2×#41—591no—
1095C2×#41—591no—
1096C2×#41—1181no—
1097C2×#41—1181no—
1098C2×#41—1181no—
1099C2×#41—1181no—
1100C2×#41—1181no—
1101C2×#41—1181no—
1102C2×#41—1181no—
1103C2×#41—1181no—
1104C2×#41—2368no—
1105C22×Q8—591no—
1106C22×Q8—591no—
1107C22×Q8—1181no—
1108C22×D4—591no—
1109C22×D4—591no—
1110C22×D4—1181no—
1111C22×D4—1181no—
1112C22×D4—1181no—
1113C22×D4C22×D5911yescharacteristic
1114C23×C4—21no—
1115C23×C4—1181no—
1116C23×C4—1181no—
1117AGL(1,ℤ/8)—1184no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—591no—
1127C2×SD16—591no—
1128C2×SD16—1184no—
1129C2×SD16—1184no—
1130C2×SD16C22×D5911yescharacteristic
1131C2×SD16C22×D5911yescharacteristic
1132C2×D8—591no—
1133C2×D8—591no—
1134C2×D8C22×D5911yescharacteristic
1135C2×D8C22×D5911yescharacteristic
1136C2×M16—591no—
1137C2×M16—591no—
1138C22×C8—591no—
1139C22×C8—591no—
1140C22×C8—591no—
1141C22×C8—591no—
1142C4⋊Q8—591no—
1143C4⋊Q8—591no—
1144C4⋊Q8—591no—
1145C4⋊Q8—591no—
1146C4⋊Q8—591no—
1147C4⋊Q8—1181no—
1148C4⋊Q8—1181no—
1149#127—591no—
1150#127—591no—
1151#127—591no—
1152#126—21no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#126—1181no—
1157#126—1181no—
1158#125—591no—
1159#125—1181no—
1160#125—1181no—
1161#125—1181no—
1162#125—1181no—
1163#125—1181no—
1164#125C22×D5911yescharacteristic
1165#124—591no—
1166#124—1181no—
1167#124—1181no—
1168#124—1181no—
1169#124—1181no—
1170#124—1181no—
1171#124C22×D5911yescharacteristic
1172#123—21no—
1173#123—1181no—
1174#123—1181no—
1175#123—1181no—
1176#123—1181no—
1177#123—1181no—
1178#123—1181no—
1179#123—1181no—
1180#123—1181no—
1181#123—1181no—
1182#123—1181no—
1183#123—1181no—
1184C22⋊Q8—591no—
1185C22⋊Q8—591no—
1186C22⋊Q8—591no—
1187C22⋊Q8—1181no—
1188C22⋊Q8—1181no—
1189C22⋊Q8—1181no—
1190C22⋊Q8—1181no—
1191C22⋊Q8—1181no—
1192C22⋊Q8—1181no—
1193C22⋊Q8—1181no—
1194C22⋊Q8—1181no—
1195C22⋊Q8—1181no—
1196C22⋊Q8—1181no—
1197C22⋊Q8—1181no—
1198C22⋊Q8—1181no—
1199C22⋊Q8—1181no—
1200C22⋊Q8C22×D5911yescharacteristic
1201#121—591no—
1202#121—591no—
1203#121—591no—
1204#121—591no—
1205#121—591no—
1206#121—591no—
1207#121—591no—
1208#121—1181no—
1209#121—1181no—
1210#121—1181no—
1211#121—1181no—
1212#121—1181no—
1213#121—1181no—
1214#121—1181no—
1215#121—1181no—
1216#121—1181no—
1217#121—1181no—
1218#121—1181no—
1219#121C22×D5911yescharacteristic
1220#120—1181no—
1221#120—1181no—
1222#120—1181no—
1223#120—1181no—
1224#120—1181no—
1225#120—1181no—
1226C4×Q8—591no—
1227C4×Q8—591no—
1228C4×Q8—591no—
1229C4×Q8—591no—
1230C4×Q8—591no—
1231C4×Q8—591no—
1232C4×Q8—591no—
1233C4×Q8—591no—
1234C4×Q8—591no—
1235C4×Q8—1181no—
1236C4×Q8—1181no—
1237C4×Q8—1181no—
1238C4×Q8—1181no—
1239C4×Q8—1181no—
1240C4×Q8—1181no—
1241C4×Q8C22×D5911yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—21no—
1245C4×D4—591no—
1246C4×D4—591no—
1247C4×D4—591no—
1248C4×D4—591no—
1249C4×D4—591no—
1250C4×D4—591no—
1251C4×D4—591no—
1252C4×D4—591no—
1253C4×D4—591no—
1254C4×D4—591no—
1255C4×D4—591no—
1256C4×D4—591no—
1257C4×D4—591no—
1258C4×D4—1181no—
1259C4×D4—1181no—
1260C4×D4—1181no—
1261C4×D4—1181no—
1262C4×D4—1181no—
1263C4×D4—1181no—
1264C4×D4—1181no—
1265C4×D4—1181no—
1266C4×D4—1181no—
1267C4×D4—1181no—
1268C4×D4—1181no—
1269C4×D4—1181no—
1270C4×D4—1181no—
1271C4×D4C22×D5911yescharacteristic
1272C4×D4C22×D5911yescharacteristic
1273C4×D4C22×D5911yescharacteristic
1274C4×D4C22×D5911yescharacteristic
1275C4×D4C22×D5911yescharacteristic
1276#117—21no—
1277#117—591no—
1278#117—591no—
1279#117—591no—
1280#117—591no—
1281#117—1181no—
1282#117—1181no—
1283#117—1181no—
1284#117—1181no—
1285#117—1181no—
1286#117—1181no—
1287C2×C4⋊C4—591no—
1288C2×C4⋊C4—591no—
1289C2×C4⋊C4—591no—
1290C2×C4⋊C4—591no—
1291C2×C4⋊C4—1181no—
1292C2×C4⋊C4—1181no—
1293C2×C4⋊C4C22×D5911yescharacteristic
1294C2×C22⋊C4—21no—
1295C2×C22⋊C4—1181no—
1296C2×C22⋊C4—1181no—
1297C2×C42—591no—
1298C2×C42—591no—
1299C2×C42—1181no—
1300C2×C42—1181no—
1301C2×C42—1181no—
1302C2×C42C22×D5911yescharacteristic
1303#107—591no—
1304#107—591no—
1305#107—591no—
1306#107—591no—
1307#107—591no—
1308#107—591no—
1309#107—591no—
1310#107—591no—
1311#107—591no—
1312#107—591no—
1313#107C22×D5911yescharacteristic
1314#107C22×D5911yescharacteristic
1315#106—591no—
1316#106—591no—
1317#106C22×D5911yescharacteristic
1318#106C22×D5911yescharacteristic
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8C22×D5911yescharacteristic
1324C4⋊C8C22×D5911yescharacteristic
1325#103—591no—
1326#103—591no—
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103—591no—
1333#103—591no—
1334#103—591no—
1335#103C22×D5911yescharacteristic
1336#103C22×D5911yescharacteristic
1337#102—591no—
1338#102—591no—
1339#102—591no—
1340#102—591no—
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102C22×D5911yescharacteristic
1352#102C22×D5911yescharacteristic
1353#102C22×D5911yescharacteristic
1354#102C22×D5911yescharacteristic
1355#102C22×D5911yescharacteristic
1356#102C22×D5911yescharacteristic
1357C22⋊C8—591no—
1358C22⋊C8—591no—
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8C22×D5911yescharacteristic
1362C22⋊C8C22×D5911yescharacteristic
1363#97—591no—
1364#97—591no—
1365#97—591no—
1366#97—591no—
1367#97—591no—
1368#97—591no—
1369#97C22×D5911yescharacteristic
1370#97C22×D5911yescharacteristic
1371C4×C8—591no—
1372C4×C8—591no—
1373C24—21no—
1374C24—1181no—
1375C24—1181no—
1376#41—1184no—
1377#41—1182no—
1378#41—2364no—
1379#41—2364no—
1380#41—2364no—
1381#41—2364no—
1382#41—2364no—
1383#41—2364no—
1384#41—2364no—
1385#41—2361no—
1386#41—2364no—
1387C2×Q8—591no—
1388C2×Q8—591no—
1389C2×Q8—591no—
1390C2×Q8—1181no—
1391C2×Q8—1181no—
1392C2×Q8—1181no—
1393C2×Q8—1181no—
1394C2×Q8—1182no—
1395C2×Q8—1181no—
1396C2×Q8—1181no—
1397C2×Q8—1182no—
1398C2×Q8—2361no—
1399C2×Q8—2364no—
1400C2×Q8—2361no—
1401C2×Q8C23×D5911yescharacteristic
1402C2×D4—22no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—41no—
1406C2×D4—591no—
1407C2×D4—591no—
1408C2×D4—591no—
1409C2×D4—591no—
1410C2×D4—591no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1182no—
1420C2×D4—1182no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—2364no—
1430C2×D4—2361no—
1431C2×D4—2361no—
1432C2×D4—2364no—
1433C2×D4—2364no—
1434C2×D4C23×D5911yescharacteristic
1435C2×D4C23×D5911yescharacteristic
1436C2×D4C23×D5911yescharacteristic
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—44no—
1444C22×C4—591no—
1445C22×C4—591no—
1446C22×C4—591no—
1447C22×C4—591no—
1448C22×C4—591no—
1449C22×C4—591no—
1450C22×C4—1181no—
1451C22×C4—1181no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—2364no—
1465C22×C4—2364no—
1466C22×C4D4×D5911yescharacteristic
1467C22×C4D4×D5911yescharacteristic
1468C22×C4C23×D5911yescharacteristic
1469SD16—22no—
1470SD16—41no—
1471SD16—594no—
1472SD16—1182no—
1473SD16—1182no—
1474SD16—1182no—
1475SD16—1182no—
1476SD16—1182no—
1477SD16—1182no—
1478SD16—2361no—
1479SD16—2361no—
1480SD16—2361no—
1481D8—22no—
1482D8—41no—
1483D8—1182no—
1484D8—2361no—
1485M16—1182no—
1486M16—2361no—
1487C2×C8—591no—
1488C2×C8—591no—
1489C2×C8—591no—
1490C2×C8—591no—
1491C2×C8—1182no—
1492C2×C8—1182no—
1493C2×C8—2361no—
1494C2×C8—2361no—
1495C2×C8C23×D5911yescharacteristic
1496C2×C8C23×D5911yescharacteristic
1497C2×C8C23×D5911yescharacteristic
1498C2×C8C23×D5911yescharacteristic
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—591no—
1505C4⋊C4—591no—
1506C4⋊C4—591no—
1507C4⋊C4—591no—
1508C4⋊C4—591no—
1509C4⋊C4—591no—
1510C4⋊C4—591no—
1511C4⋊C4—591no—
1512C4⋊C4—591no—
1513C4⋊C4—591no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4C23×D5911yescharacteristic
1537C4⋊C4C23×D5911yescharacteristic
1538C4⋊C4C23×D5911yescharacteristic
1539C4⋊C4C23×D5911yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—591no—
1550C22⋊C4—591no—
1551C22⋊C4—591no—
1552C22⋊C4—591no—
1553C22⋊C4—591no—
1554C22⋊C4—591no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C42—21no—
1576C42—591no—
1577C42—591no—
1578C42—591no—
1579C42—591no—
1580C42—591no—
1581C42—591no—
1582C42—1181no—
1583C42—1181no—
1584C42—1181no—
1585C42—1181no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42D4×D5911yescharacteristic
1591C42D4×D5911yescharacteristic
1592C42C23×D5911yescharacteristic
1593C42C23×D5911yescharacteristic
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—42no—
1598C23—42no—
1599C23—81no—
1600C23—591no—
1601C23—591no—
1602C23—1181no—
1603C23—1181no—
1604C23—4721no—
1605C23—4721no—
1606C23—2362no—
1607C23—2362no—
1608C23—2362no—
1609C23—2362no—
1610C23C2×D4×D5911yescharacteristic
1611Q8—21no—
1612Q8—21no—
1613Q8—592no—
1614Q8—1182no—
1615Q8—1181no—
1616Q8—1181no—
1617Q8—1181no—
1618Q8—2362no—
1619Q8—2362no—
1620Q8—2362no—
1621Q8—2362no—
1622Q8—2362no—
1623Q8—2362no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—42no—
1630D4—42no—
1631D4—594no—
1632D4—1182no—
1633D4—1182no—
1634D4—1181no—
1635D4—1181no—
1636D4—1181no—
1637D4—1181no—
1638D4—4721no—
1639D4—4721no—
1640D4—4721no—
1641D4—2362no—
1642D4—2362no—
1643D4—2362no—
1644D4—2362no—
1645D4—2362no—
1646D4—2362no—
1647D4—2362no—
1648D4—2362no—
1649D4—2362no—
1650D4—2362no—
1651D4—2362no—
1652D4—2362no—
1653D4—2362no—
1654D4#41×D5912yes—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—41no—
1664C2×C4—42no—
1665C2×C4—42no—
1666C2×C4—42no—
1667C2×C4—42no—
1668C2×C4—42no—
1669C2×C4—42no—
1670C2×C4—591no—
1671C2×C4—591no—
1672C2×C4—591no—
1673C2×C4—591no—
1674C2×C4—591no—
1675C2×C4—591no—
1676C2×C4—1182no—
1677C2×C4—1182no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—1181no—
1685C2×C4—1181no—
1686C2×C4—1181no—
1687C2×C4—1181no—
1688C2×C4—2361no—
1689C2×C4—2361no—
1690C2×C4—2362no—
1691C2×C4—2362no—
1692C2×C4—2362no—
1693C2×C4—2362no—
1694C2×C4—2362no—
1695C2×C4—2362no—
1696C2×C4—2362no—
1697C2×C4—2362no—
1698C2×C4—2362no—
1699C2×C4—2362no—
1700C2×C4—2362no—
1701C2×C4—2362no—
1702C2×C4—2362no—
1703C2×C4—2362no—
1704C2×C4C2×D4×D5911yescharacteristic
1705C2×C4C2×D4×D5911yescharacteristic
1706C2×C4C2×D4×D5911yescharacteristic
1707C2×C4C2×D4×D5911yescharacteristic
1708C2×C4C2×D4×D5911yescharacteristic
1709C2×C4C24×D5911yescharacteristic
1710C8—21no—
1711C8—21no—
1712C8—21no—
1713C8—21no—
1714C8—592no—
1715C8—1181no—
1716C8—1181no—
1717C8—1181no—
1718C22—21no—
1719C22—21no—
1720C22—22no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—84no—
1730C22—592no—
1731C22—1181no—
1732C22—1181no—
1733C22—1181no—
1734C22—1181no—
1735C22—1181no—
1736C22—4724no—
1737C22—4724no—
1738C22—2361no—
1739C22—2361no—
1740C22—2361no—
1741C22—2361no—
1742C22—2361no—
1743C22—2361no—
1744C22AGL(1,ℤ/8)×D5912yes—
1745C22C22×D4×D5911yescharacteristic
1746C4—21no—
1747C4—21no—
1748C4—21no—
1749C4—21no—
1750C4—21no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—592no—
1757C4—1181no—
1758C4—1181no—
1759C4—1181no—
1760C4—1182no—
1761C4—1181no—
1762C4—1181no—
1763C4—2361no—
1764C4—2361no—
1765C4—2361no—
1766C4—2361no—
1767C4—2361no—
1768C4C2×#41×D5911yescharacteristic
1769C4#1683823811yescharacteristic
1770C2—22no—
1771C2—42no—
1772C2—81no—
1773C2—81no—
1774C2—1182no—
1775C2—4721no—
1776C2—4721no—
1777C2—2361no—
1778C2#2143757911yescharacteristic
1779C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1780C2#2143888011yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3114C2
socleC22×C59C23×D4
hypercenter#3114D59
hypocenterC59#61452
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3114

Complements

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

NH ≅ G/Ntype
1. #21437709C2semidirect
2. D4×#11745685C2semidirect
3. #21437119C2semidirect
4. #21437012C2semidirect
5. #21436828C2semidirect
6. #21436809C2semidirect
7. #21436543C2semidirect
8. #21436534C2semidirect
9. #21436438C2semidirect
10. #21436121C2semidirect
11. #21436114C2semidirect
12. #21436094C2semidirect
13. #21436085C2semidirect
14. #21435959C2semidirect
15. #21435902C2semidirect
16. #21435790C2semidirect
17. #21435597C2semidirect
18. #21435595C2semidirect
19. #21434811C2semidirect
20. #21434795C2semidirect
21. #21434792C2semidirect
22. #21434243C2semidirect
23. #21434232C2semidirect
24. #21434219C2semidirect
25. #21434216C2semidirect
26. #21434193C2semidirect
27. #21433105C2semidirect
28. #21432907C2semidirect
29. C2×#16837502C2semidirect
30. #440×D59C2semidirect
31. C59×#3114C2semidirect
36. #16838129C22semidirect
37. #16838121C22semidirect
39. #16838094C22semidirect
40. #16838090C22semidirect
45. #16838065C22semidirect
47. #16838060C22semidirect
48. #16838058C22semidirect
52. #16838052C22semidirect
60. #16837956C22semidirect
65. #16837934C22semidirect
73. C4×#11745687C22semidirect
74. C2×C4×Dic118C22semidirect
75. C4×Q8×D59C22semidirect
78. #16837812C22semidirect
79. #16837809C22semidirect
80. #16837806C22semidirect
81. #16837792C22semidirect
82. #16837790C22semidirect
83. #16837773C22semidirect
84. #16837768C22semidirect
85. #16837765C22semidirect
86. #16837761C22semidirect
87. #16837760C22semidirect
88. #16837751C22semidirect
89. #16837747C22semidirect
90. #16837739C22semidirect
91. #16837736C22semidirect
92. #16837734C22semidirect
93. #16837728C22semidirect
94. #16837724C22semidirect
95. #16837717C22semidirect
96. #16837716C22semidirect
97. #16837716C22semidirect
98. #16837714C22semidirect
99. #16837714C22semidirect
100. #16837701C22semidirect
102. #16837698C22semidirect
103. #16837698C22semidirect
104. #16837696C22semidirect
105. #16837695C22semidirect
106. #16837686C22semidirect
107. #16837681C22semidirect
109. #16837680C22semidirect
110. #16837651C22semidirect
111. #16837649C22semidirect
112. #16837647C22semidirect
113. #16837645C22semidirect
114. #16837637C22semidirect
115. #16837636C22semidirect
116. #16837636C22semidirect
117. #16837635C22semidirect
118. #16837633C22semidirect
119. #16837633C22semidirect
120. #16837632C22semidirect
121. #16837630C22semidirect
122. #16837616C22semidirect
124. #16837606C22semidirect
126. #16837603C22semidirect
127. #16837603C22semidirect
128. #16837601C22semidirect
129. #16837601C22semidirect
130. #16837600C22semidirect
131. #16837595C22semidirect
135. #16837548C22semidirect
136. #16837544C22semidirect
137. #16837543C22semidirect
138. #16837543C22semidirect
139. #16837542C22semidirect
140. #16837539C22semidirect
142. #16837531C22semidirect
143. #16837531C22semidirect
144. #16837512C22semidirect
145. #16837512C22semidirect
146. #16837505C22semidirect
147. #16837504C22semidirect
148. #16837504C22semidirect
149. #16837504C22semidirect
150. #16837504C22semidirect
156. #16837502C22semidirect
157. #16837502C22semidirect
158. #16837502C22semidirect
159. #16837502C22semidirect
160. #16837501C22semidirect
161. #16837500C22semidirect
162. #16837500C22semidirect
165. #16837489C22semidirect
167. #16837482C22semidirect
168. #16837472C22semidirect
169. #16837472C22semidirect
170. #16837470C22semidirect
171. #16837470C22semidirect
172. (C22⋊D59)⋊C8C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837457C22semidirect
175. #16837457C22semidirect
176. #16837441C22semidirect
177. C2×#14273660C22semidirect
178. #107×D59C22semidirect
180. #16837400C22semidirect
181. C2×#14273650C22semidirect
182. #103×D59C22semidirect
185. #16837354C22semidirect
186. C2×#14273638C22semidirect
187. #97×D59C22semidirect
188. C59×#529C22semidirect
190. C59×#483C22semidirect
191. C59×#480C22semidirect
193. C59×#478C22semidirect
195. C59×#463C22semidirect
199. C59×#442C22semidirect
201. C59×#440C22semidirect
202. C59×#432C22semidirect
624. #11745670#41semidirect
764. C22⋊D59AGL(1,ℤ/8)semidirect
818. Dic118C2×#41semidirect
826. C59⋊C8C2×#41semidirect
903. #3114D59semidirect
958. #529C2×D59semidirect
985. #483C2×D59semidirect
993. #480C2×D59semidirect
997. #478C2×D59semidirect
1021. #463C2×D59semidirect
1047. #442C2×D59semidirect
1067. #440C2×D59semidirect
1080. #432C2×D59semidirect
1093. C59#61452semidirect

Maximal subgroups

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

subgroupindex
#214377092
D4×#117456852
#214371192
#214370122
#214368282
#214368092
#214365432
#214365342
#214364382
#214361212
#214361142
#214360942
#214360852
#214359592
#214359022
#214357902
#214355972
#214355952
#214348112
#214347952
#214347922
#214342432
#214342322
#214342192
#214342162
#214341932
#214331052
#214329072
C2×#168375022
#440×D592
C59×#31142
#6145259