Finite Group Databasebeta

← #29471292

Subgroups — #29471292

Order 15104.

1882 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438141C211yesmaximal, characteristic, complemented
2#21438132C211yesmaximal, characteristic, complemented
3#21437079C211yesmaximal, characteristic, complemented
4#21436946C211yesmaximal, characteristic, complemented
5#21436815C211yesmaximal, characteristic, complemented
6#21436811C211yesmaximal, characteristic, complemented
7#21436484C211yesmaximal, characteristic, complemented
8#21436483C211yesmaximal, characteristic, complemented
9#21436438C211yesmaximal, characteristic, complemented
10#21436397C211yesmaximal, characteristic, complemented
11#21436396C211yesmaximal, characteristic, complemented
12#21436183C211yesmaximal, characteristic, complemented
13#21436179C211yesmaximal, characteristic, complemented
14#21436173C211yesmaximal, characteristic, complemented
15#21435811C211yesmaximal, characteristic, complemented
16#21435777C211yesmaximal, characteristic, complemented
17#21435774C211yesmaximal, characteristic, complemented
18#21434734C211yesmaximal, characteristic, complemented
19#21434730C211yesmaximal, characteristic, complemented
20#21434677C211yesmaximal, characteristic, complemented
21#21434363C211yesmaximal, characteristic, complemented
22#21434359C211yesmaximal, characteristic, complemented
23#21434357C211yesmaximal, characteristic, complemented
24#21434353C211yesmaximal, characteristic, complemented
25#21434192C211yesmaximal, characteristic, complemented
26#21434190C211yesmaximal, characteristic, complemented
27#21433066C211yesmaximal, characteristic, complemented
28#21432968C211yesmaximal, characteristic, complemented
29#21432967C211yesmaximal, characteristic, complemented
30C2×#16837482C211yesmaximal, characteristic, complemented
31C59×#3314C211yesmaximal, characteristic, complemented
32C2×#14273748C2211yescharacteristic
33C2×#14273747C2211yescharacteristic
34C22×#11745669C2211yescharacteristic
35#16838124C2211yescharacteristic, complemented
36#16838121C2211yescharacteristic, complemented
37#16838110C2211yescharacteristic
38#16838109C2211yescharacteristic
39#16838107C2211yescharacteristic
40#16838089—21no—
41#16838084—21no—
42#16838083—21no—
43#16838081—21no—
44#16838079—21no—
45#16838078—21no—
46D4×Dic118C2211yescharacteristic, complemented
47#16838067C2211yescharacteristic, complemented
48#16838062—21no—
49#16838058—21no—
50#16838054C2211yescharacteristic, complemented
51#16838053C2211yescharacteristic, complemented
52#16838052C2211yescharacteristic, complemented
53#16838051C2211yescharacteristic, complemented
54#16838048C2211yescharacteristic
55#16838046C2211yescharacteristic
56#16838043C2211yescharacteristic
57#16838026C2211yescharacteristic, complemented
58#16838025C2211yescharacteristic, complemented
59#16838021C2211yescharacteristic, complemented
60#16838019C2211yescharacteristic, complemented
61#16838000—21no—
62#16837998—21no—
63#16837997—21no—
64#16837996—21no—
65#16837954C2211yescharacteristic
66#16837954C2211yescharacteristic
67#16837932C2211yescharacteristic
68#16837911—21no—
69#16837908—21no—
70C2×#14273704—21no—
71C22⋊Q8×D59—21no—
72#16837885C2211yescharacteristic, complemented
73#16837884C2211yescharacteristic, complemented
74#16837883C2211yescharacteristic, complemented
75#16837881C2211yescharacteristic, complemented
76C2×D4×Dic59C2211yescharacteristic
77C2×#14273689C2211yescharacteristic
78#16837806C2211yescharacteristic, complemented
79#16837806C2211yescharacteristic, complemented
80#16837805C2211yescharacteristic, complemented
81#16837784C2211yescharacteristic
82#16837783C2211yescharacteristic
83#16837780C2211yescharacteristic, complemented
84#16837763C2211yescharacteristic, complemented
85#16837762C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837751C2211yescharacteristic, complemented
88#16837751C2211yescharacteristic, complemented
89#16837739C2211yescharacteristic, complemented
90#16837738C2211yescharacteristic
91#16837737C2211yescharacteristic
92#16837737C2211yescharacteristic, complemented
93#16837736C2211yescharacteristic, complemented
94#16837735C2211yescharacteristic
95#16837735C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic, complemented
97#16837716C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837697C2211yescharacteristic, complemented
100#16837696C2211yescharacteristic, complemented
101#16837695C2211yescharacteristic, complemented
102#16837694C2211yescharacteristic, complemented
103#16837683C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837681C2211yescharacteristic, complemented
106#16837681C2211yescharacteristic, complemented
107#16837680C2211yescharacteristic, complemented
108#16837680C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837651C2211yescharacteristic, complemented
111#16837648C2211yescharacteristic, complemented
112#16837647C2211yescharacteristic, complemented
113#16837643C2211yescharacteristic
114#16837642C2211yescharacteristic, complemented
115#16837641C2211yescharacteristic
116#16837641C2211yescharacteristic
117#16837641C2211yescharacteristic, complemented
118#16837637C2211yescharacteristic
119#16837636C2211yescharacteristic
120#16837626C2211yescharacteristic, complemented
121#16837625C2211yescharacteristic, complemented
122#16837623C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic
124#16837617C2211yescharacteristic
125#16837616C2211yescharacteristic
126#16837614C2211yescharacteristic
127#16837606C2211yescharacteristic, complemented
128#16837606C2211yescharacteristic, complemented
129#16837605C2211yescharacteristic, complemented
130#16837605C2211yescharacteristic, complemented
131#16837566C2211yescharacteristic, complemented
132#16837565C2211yescharacteristic, complemented
133#16837563C2211yescharacteristic, complemented
134#16837555C2211yescharacteristic
135#16837553C2211yescharacteristic
136#16837552C2211yescharacteristic
137#16837548C2211yescharacteristic
138#16837547C2211yescharacteristic
139#16837546C2211yescharacteristic
140#16837545C2211yescharacteristic
141#16837530C2211yescharacteristic, complemented
142#16837526C2211yescharacteristic, complemented
143#16837505C2211yescharacteristic, complemented
144#16837505C2211yescharacteristic, complemented
145#16837505C2211yescharacteristic, complemented
146#16837504C2211yescharacteristic, complemented
147#16837503C2211yescharacteristic, complemented
148#16837503C2211yescharacteristic, complemented
149#16837501C2211yescharacteristic, complemented
150#16837501C2211yescharacteristic, complemented
151#16837499C2211yescharacteristic, complemented
152#16837499C2211yescharacteristic, complemented
153#16837499C2211yescharacteristic, complemented
154Q16×Dic59C2211yescharacteristic, complemented
155#16837496C2211yescharacteristic, complemented
156C4×#11745672C2211yescharacteristic, complemented
157#16837494C2211yescharacteristic, complemented
158#16837494C2211yescharacteristic, complemented
159#16837494C2211yescharacteristic, complemented
160C4×#11745669C2211yescharacteristic
161#16837482C2211yescharacteristic
162#16837482C2211yescharacteristic
163#16837482C2211yescharacteristic
164#16837482C2211yescharacteristic
165#16837482C2211yescharacteristic
166#16837482C2211yescharacteristic
167#16837482C2211yescharacteristic
168#16837482C2211yescharacteristic
169#16837482C2211yescharacteristic
170#16837478C2211yescharacteristic, complemented
171#16837473C2211yescharacteristic
172D4×C59⋊C8C2211yescharacteristic
173(C22⋊D59)⋊C8C2211yescharacteristic
174(C22⋊D59)⋊C8C2211yescharacteristic, complemented
175#16837462C2211yescharacteristic, complemented
176#16837460C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic
178C2×#14273660C2211yescharacteristic
179C2×#14273660C2211yescharacteristic, complemented
180#107×D59C2211yescharacteristic, complemented
181#16837404C2211yescharacteristic, complemented
182#16837402C2211yescharacteristic, complemented
183#16837400C2211yescharacteristic, complemented
184C2×#14273649C2211yescharacteristic
185#16837360C2211yescharacteristic, complemented
186#16837359C2211yescharacteristic, complemented
187C2×C8×Dic59C2211yescharacteristic
188C59×#554C2211yescharacteristic
189C59×#546C2211yescharacteristic
190C59×#489C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic
192C59×#480C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#467C2211yescharacteristic
196C59×#464C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic
201C59×#417C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C2×#11745687C2311yescharacteristic
208C22×Dic118—21no—
209C2×Q8×D59—21no—
210C22×D236C2311yescharacteristic
211C23×Dic59—21no—
212C22×C4×D59—21no—
213#14273748—24no—
214#14273747—24no—
215C2×Dic236C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745669—24no—
225C2×#11745669C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745659C2311yescharacteristic
230C22×C59⋊C8C2311yescharacteristic
231C22×C59⋊C8C2311yescharacteristic
232C2×C8×D59C2311yescharacteristic
233#14273727C2311yescharacteristic
234#14273726C2311yescharacteristic
235#14273726C2311yescharacteristic
236#14273726C2311yescharacteristic
237#14273726C2311yescharacteristic
238#14273725C2311yescharacteristic
239#14273725C2311yescharacteristic
240#14273722—21no—
241#14273722—21no—
242#14273722—21no—
243#14273722D411yescharacteristic
244#14273721—21no—
245#14273720—21no—
246#14273720—21no—
247#14273720—21no—
248#14273720—21no—
249#14273720D411yescharacteristic
250#14273718—21no—
251#14273717—21no—
252#14273717—21no—
253#14273717—21no—
254#14273717—21no—
255#14273717D411yescharacteristic
256#14273716—21no—
257#14273716C2311yescharacteristic
258#14273715C2311yescharacteristic
259#14273714—21no—
260#14273714C2311yescharacteristic
261#14273713—21no—
262#14273713—21no—
263#14273713D411yescharacteristic
264#14273712—21no—
265#14273712—21no—
266#14273712—21no—
267#14273712—21no—
268#14273712—21no—
269#14273711—21no—
270#14273711D411yescharacteristic
271#14273710—21no—
272#14273710—21no—
273#14273709—21no—
274#14273709—21no—
275#14273709—21no—
276#14273708—21no—
277#14273708—21no—
278#14273708—21no—
279#14273708—21no—
280#14273708D411yescharacteristic
281#14273707—21no—
282#14273707—21no—
283#14273707C2311yescharacteristic
284#14273706—21no—
285#14273706—21no—
286#14273706C2311yescharacteristic
287#14273706C2311yescharacteristic
288#14273706C2311yescharacteristic
289#14273705—21no—
290#14273705—21no—
291#14273705—21no—
292#14273705—21no—
293#14273705—21no—
294#14273704—21no—
295#14273704—21no—
296#14273704—21no—
297#14273704—21no—
298#14273704—21no—
299#14273704—21no—
300#14273704—21no—
301#14273704—21no—
302#14273704—21no—
303#14273704—21no—
304#14273704—21no—
305#14273704D411yescharacteristic
306#14273703—21no—
307#14273703—21no—
308#14273703C2311yescharacteristic
309#14273702—21no—
310#14273702C2311yescharacteristic
311#14273701C2311yescharacteristic
312#14273700—21no—
313#14273700—21no—
314#14273699—21no—
315#14273699—21no—
316#14273699D411yescharacteristic
317#14273698C2311yescharacteristic
318#14273697—21no—
319#14273696—21no—
320#14273695—21no—
321Q8×Dic59C2311yescharacteristic
322Q8×Dic59C2311yescharacteristic
323Q8×Dic59C2311yescharacteristic
324C4×Dic118C2311yescharacteristic
325C4×Dic118C2311yescharacteristic
326#14273692—21no—
327#14273692—21no—
328#14273692C2311yescharacteristic
329#14273692C2311yescharacteristic
330#14273692C2311yescharacteristic
331C4×D236—21no—
332C4×D236C2311yescharacteristic
333D4×Dic59—21no—
334D4×Dic59—21no—
335D4×Dic59—21no—
336D4×Dic59—21no—
337D4×Dic59—21no—
338D4×Dic59C2311yescharacteristic
339D4×Dic59C2311yescharacteristic
340D4×Dic59C2311yescharacteristic
341D4×Dic59C2311yescharacteristic
342D4×Dic59C2311yescharacteristic
343#14273689—21no—
344#14273689—21no—
345#14273689—21no—
346#14273689C2311yescharacteristic
347#14273689C2311yescharacteristic
348#14273689C2311yescharacteristic
349#14273689C2311yescharacteristic
350#14273689C2311yescharacteristic
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59—21no—
354C4×C22⋊D59—21no—
355C4×C22⋊D59C2311yescharacteristic
356C4×C22⋊D59C2311yescharacteristic
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359#14273686—21no—
360#14273686C2311yescharacteristic
361#14273685—21no—
362#14273684—21no—
363#14273684—21no—
364#14273684C2311yescharacteristic
365#14273683—21no—
366#14273683—21no—
367#14273683—21no—
368#14273683—21no—
369C2×C4⋊Dic59—21no—
370C2×C4⋊Dic59C2311yescharacteristic
371C2×C4⋊Dic59C2311yescharacteristic
372C2×Dic59⋊C4—21no—
373C2×Dic59⋊C4—21no—
374C4⋊C4×D59—21no—
375C4⋊C4×D59—21no—
376C4⋊C4×D59—21no—
377C4⋊C4×D59C2311yescharacteristic
378C4⋊C4×D59C2311yescharacteristic
379C2×C22⋊Dic59—21no—
380C2×C22⋊Dic59—21no—
381C2×(C2×D59)⋊C4—21no—
382C22⋊C4×D59—21no—
383C22⋊C4×D59—21no—
384C2×C4×Dic59C2311yescharacteristic
385#14273661C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429#14273637C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432C4×C59⋊C8C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×#41×C59C2311yescharacteristic
439C22×D4×C59C2311yescharacteristic
440C2×Q16×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×M16×C59C2311yescharacteristic
444C22×C8×C59C2311yescharacteristic
445C4⋊Q8×C59C2311yescharacteristic
446#125×C59—21no—
447#124×C59C2311yescharacteristic
448#123×C59—21no—
449C22⋊Q8×C59—21no—
450C22⋊Q8×C59—21no—
451C22⋊Q8×C59C2311yescharacteristic
452C22⋊Q8×C59C2311yescharacteristic
453C22⋊Q8×C59C2311yescharacteristic
454#121×C59—21no—
455#121×C59C2311yescharacteristic
456#120×C59—21no—
457C4×Q8×C59C2311yescharacteristic
458C4×D4×C59—21no—
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C2×C4⋊C4×C59C2311yescharacteristic
462C2×C4⋊C4×C59C2311yescharacteristic
463C2×C22⋊C4×C59—21no—
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468#103×C59C2311yescharacteristic
469#103×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
481C24×C59—21no—
482C23×D59—21no—
483#41×C59—22no—
484#41×C59—41no—
485C2×Q8×C59—21no—
486C2×Q8×C59C2411yescharacteristic
487C2×Q8×C59C2411yescharacteristic
488C2×D4×C59—22no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—41no—
493C2×D4×C59C2×D411yescharacteristic
494C2×D4×C59C2411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59C2411yescharacteristic
501C22×C4×C59C2411yescharacteristic
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59C2×D411yescharacteristic
507C2×C22⋊D59C2×D411yescharacteristic
508C22×Dic59—21no—
509C22×Dic59—21no—
510C22×Dic59—21no—
511C22×Dic59—21no—
512C22×Dic59—21no—
513C22×Dic59—21no—
514C22×Dic59—21no—
515C22×Dic59—21no—
516C22×Dic59—82no—
517C22×Dic59C2×D411yescharacteristic
518C22×Dic59C2×D411yescharacteristic
519#11745689—22no—
520#11745689—41no—
521Q8×D59—82no—
522#11745687—22no—
523#11745687—41no—
524#11745687—82no—
525#11745685—22no—
526#11745685—41no—
527#11745685—82no—
528C2×D236—22no—
529C2×D236—21no—
530C2×D236—21no—
531C2×D236—21no—
532C2×D236—41no—
533C2×D236C2411yescharacteristic
534C2×D236C2411yescharacteristic
535C2×C4×D59—21no—
536C2×C4×D59—21no—
537C2×C4×D59—21no—
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—82no—
546C2×C4×D59C2411yescharacteristic
547C2×Dic118—21no—
548C2×Dic118—21no—
549C2×Dic118—21no—
550C2×Dic118—21no—
551C2×Dic118—21no—
552C2×Dic118—82no—
553C2×Dic118C2×D411yescharacteristic
554C2×Dic118C2411yescharacteristic
555C2×Dic118C2411yescharacteristic
556Q16×C59—41no—
557SD16×C59—22no—
558SD16×C59—41no—
559M16×C59—41no—
560C2×C8×C59—41no—
561C2×C8×C59C2411yescharacteristic
562C2×C8×C59C2411yescharacteristic
563C2×C8×C59C2411yescharacteristic
564C2×C8×C59C2411yescharacteristic
565C4⋊C4×C59—21no—
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59C2×D411yescharacteristic
573C4⋊C4×C59C2411yescharacteristic
574C4⋊C4×C59C2411yescharacteristic
575C4⋊C4×C59C2411yescharacteristic
576C4⋊C4×C59C2411yescharacteristic
577C22⋊C4×C59—21no—
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59C2×D411yescharacteristic
585C22⋊C4×C59C2×D411yescharacteristic
586C42×C59—21no—
587C42×C59C2411yescharacteristic
588C22⋊Dic59—21no—
589C22⋊Dic59—21no—
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59C2×D411yescharacteristic
600C22⋊Dic59C2×D411yescharacteristic
601C22⋊Dic59C2×D411yescharacteristic
602C22⋊Dic59C2×D411yescharacteristic
603#11745672—22no—
604#11745672—22no—
605#11745671—22no—
606#11745671—41no—
607#11745670—22no—
608#11745670—41no—
609#11745669—22no—
610#11745669—22no—
611#11745669—22no—
612#11745669#4114yescomplemented
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4C2×D411yescharacteristic
628(C2×D59)⋊C4C2×D411yescharacteristic
629(C2×D59)⋊C4C2×D411yescharacteristic
630(C2×D59)⋊C4C2×D411yescharacteristic
631C4⋊Dic59—21no—
632C4⋊Dic59—21no—
633C4⋊Dic59—21no—
634C4⋊Dic59—21no—
635C4⋊Dic59—21no—
636C4⋊Dic59—21no—
637C4⋊Dic59—21no—
638C4⋊Dic59C2×D411yescharacteristic
639C4⋊Dic59C2×D411yescharacteristic
640C4⋊Dic59C2×D411yescharacteristic
641C4⋊Dic59C2411yescharacteristic
642C4⋊Dic59C2411yescharacteristic
643C4⋊Dic59C2411yescharacteristic
644C4⋊Dic59C2411yescharacteristic
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
664Dic59⋊C4C2×D411yescharacteristic
665Dic59⋊C4C2×D411yescharacteristic
666Dic59⋊C4C2×D411yescharacteristic
667Dic59⋊C4C2×D411yescharacteristic
668Dic59⋊C4C2×D411yescharacteristic
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59—21no—
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2411yescharacteristic
679C4×Dic59C2411yescharacteristic
680C4×Dic59C2411yescharacteristic
681C2×C59⋊C8—22no—
682C2×C59⋊C8—22no—
683C2×C59⋊C8C2411yescharacteristic
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687Dic236—41no—
688#11745660—22no—
689#11745660—41no—
690#11745659—41no—
691C8×D59—22no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59—42no—
695C23×C59—42no—
696C23×C59—81no—
697C23×C59C22×D411yescharacteristic
698C23×C59C22×D411yescharacteristic
699C22×D59—21no—
700C22×D59—21no—
701C22×D59—42no—
702C22×D59—42no—
703C22×D59—81no—
704C22×D59C22×D411yescharacteristic
705Q8×C59—21no—
706Q8×C59—21no—
707Q8×C59—21no—
708Q8×C59—21no—
709Q8×C59—81no—
710D4×C59—22no—
711D4×C59—21no—
712D4×C59—21no—
713D4×C59—21no—
714D4×C59—42no—
715D4×C59—42no—
716D4×C59—81no—
717D4×C59C2×#4112yes—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—42no—
729C2×C4×C59—81no—
730C2×C4×C59—81no—
731C2×C4×C59—81no—
732C2×C4×C59C22×D411yescharacteristic
733C2×C4×C59C22×D411yescharacteristic
734C2×C4×C59C22×D411yescharacteristic
735C2×C4×C59C22×D411yescharacteristic
736C2×C4×C59C2511yescharacteristic
737C22⋊D59—22no—
738C22⋊D59—22no—
739C22⋊D59—42no—
740C22⋊D59—42no—
741C22⋊D59—81no—
742C22⋊D59—81no—
743C2×Dic59—22no—
744C2×Dic59—22no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—42no—
752C2×Dic59—42no—
753C2×Dic59—42no—
754C2×Dic59—81no—
755C2×Dic59—81no—
756C2×Dic59—81no—
757C2×Dic59—81no—
758C2×Dic59—81no—
759C2×Dic59C22×D411yescharacteristic
760C2×Dic59C22×D411yescharacteristic
761C2×Dic59C22×D411yescharacteristic
762C2×Dic59C22×D411yescharacteristic
763C2×Dic59C22×D411yescharacteristic
764C2×Dic59C22×D411yescharacteristic
765C2×Dic59C22×D411yescharacteristic
766D236—21no—
767D236—21no—
768D236—21no—
769D236—42no—
770D236—42no—
771D236—81no—
772D236C2×#4112yes—
773C4×D59—21no—
774C4×D59—21no—
775C4×D59—42no—
776C4×D59—42no—
777C4×D59—42no—
778C4×D59—42no—
779C4×D59—81no—
780C4×D59—81no—
781C4×D59—81no—
782C4×D59—81no—
783C4×D59—81no—
784C4×D59—81no—
785Dic118—22no—
786Dic118—21no—
787Dic118—21no—
788Dic118—21no—
789Dic118—21no—
790Dic118—42no—
791Dic118—42no—
792Dic118—81no—
793Dic118—81no—
794Dic118—81no—
795C8×C59—21no—
796C8×C59—21no—
797C8×C59—21no—
798C8×C59—21no—
799C59⋊C8—21no—
800C59⋊C8—21no—
801C59⋊C8—21no—
802C59⋊C8C2×#4112yes—
803#61482—591nomaximal, Sylow
804C22×C59—21no—
805C22×C59—21no—
806C22×C59—22no—
807C22×C59—21no—
808C22×C59—21no—
809C22×C59—21no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—84no—
816C22×C59#57812yes—
817C22×C59C23×D411yescharacteristic
818C2×D59—21no—
819C2×D59—22no—
820C2×D59—21no—
821C2×D59—21no—
822C2×D59—41no—
823C2×D59—41no—
824C2×D59—41no—
825C2×D59—41no—
826C2×D59—41no—
827C2×D59—84no—
828C4×C59—21no—
829C4×C59—21no—
830C4×C59—21no—
831C4×C59—21no—
832C4×C59—41no—
833C4×C59—41no—
834C4×C59—41no—
835C4×C59—41no—
836C4×C59—41no—
837C4×C59—41no—
838C4×C59C22×#4111yescharacteristic
839C4×C59#58511yescharacteristic
840Dic59—21no—
841Dic59—21no—
842Dic59—21no—
843Dic59—21no—
844Dic59—21no—
845Dic59—21no—
846Dic59—41no—
847Dic59—41no—
848Dic59—41no—
849Dic59—41no—
850Dic59—41no—
851Dic59—41no—
852Dic59#57612yes—
853#3520—591no—
854#3520—591no—
855#3393—591no—
856Q8×D8—591no—
857#3367—591no—
858#3367—591no—
859#3338—591no—
860#3338—591no—
861#3334—591no—
862#3330—591no—
863#3330—591no—
864#3314—591no—
865#3314—591no—
866#3314—591no—
867#3314D5911yescharacteristic, complemented
868#3283—591no—
869#3280—591no—
870#3280—591no—
871#3175—591no—
872#3175—591no—
873#3170—591no—
874#3124—591no—
875#3124—591no—
876#3124—591no—
877#3124—591no—
878#3110—591no—
879#3110—591no—
880#2966—591no—
881#2951—591no—
882#2951—591no—
883C2×C4×D8—591no—
884C2×C59—22no—
885C2×C59—41no—
886C2×C59—42no—
887C2×C59—81no—
888C2×C59D4×#4111yescharacteristic
889C2×C59C2×#57611yescharacteristic
890C2×C59C2×#57811yescharacteristic
891D59—41no—
892D59—42no—
893D59—81no—
894C2×#135—591no—
895C2×#135—591no—
896C22×D8—591no—
897#556—591no—
898#556—591no—
899#554—591no—
900#554—591no—
901#554—591no—
902#554C2×D5911yescharacteristic
903#552—1181no—
904#552—1181no—
905#551—1181no—
906#551—1181no—
907#551—1181no—
908#551—1181no—
909D4×Q8—591no—
910D4×Q8—591no—
911#548—1181no—
912#548—1181no—
913#547—591no—
914#547—591no—
915#547—591no—
916#547—591no—
917#546—591no—
918#546—591no—
919#546—591no—
920#546C2×D5911yescharacteristic
921#542—591no—
922#542—591no—
923#542—591no—
924#542—591no—
925#539—1181no—
926#539—1181no—
927#539—1181no—
928#539—1181no—
929#533—591no—
930#533—591no—
931#529—591no—
932#525—1181no—
933#525—1181no—
934C2×C22⋊Q8—1181no—
935C2×C22⋊Q8—1181no—
936#520—591no—
937#520—591no—
938#520—591no—
939#520—591no—
940C2×C4×D4—591no—
941C2×C4×D4—591no—
942#500—591no—
943#500—591no—
944#500—591no—
945#495—591no—
946#495—591no—
947#494—591no—
948#489—591no—
949#489—591no—
950#489—591no—
951#489C2×D5911yescharacteristic, complemented
952#487—591no—
953#487—591no—
954#484—591no—
955#484—591no—
956#484—591no—
957#484—591no—
958#484—591no—
959#484—591no—
960#484—591no—
961#484C2×D5911yescharacteristic
962#480—591no—
963#480—591no—
964#480—591no—
965#480C2×D5911yescharacteristic, complemented
966#477—591no—
967#477—591no—
968#477—591no—
969#477—591no—
970#474—591no—
971#474—591no—
972#474—591no—
973#474—591no—
974#474—591no—
975#474—591no—
976#474—591no—
977#474C2×D5911yescharacteristic, complemented
978#468—591no—
979#468—591no—
980#468—591no—
981#468C2×D5911yescharacteristic, complemented
982#467—591no—
983#467—591no—
984#467—591no—
985#467—591no—
986#467—591no—
987#467C2×D5911yescharacteristic
988#466—591no—
989#466—591no—
990#464—591no—
991#464—591no—
992#464—591no—
993#464C2×D5911yescharacteristic, complemented
994#463—591no—
995#463—591no—
996#463—591no—
997#463—591no—
998#461—591no—
999#461—591no—
1000#461—591no—
1001#461—591no—
1002#452—591no—
1003#452—591no—
1004#452—591no—
1005#452C2×D5911yescharacteristic, complemented
1006#450—591no—
1007#450—591no—
1008#450—591no—
1009#450C2×D5911yescharacteristic
1010#449—591no—
1011#449—591no—
1012#449—591no—
1013#449—591no—
1014#446—591no—
1015C8×Q8—591no—
1016#440—591no—
1017#440—591no—
1018#440—591no—
1019#440—591no—
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440—591no—
1024#440—591no—
1025#440—591no—
1026#440—591no—
1027#440C2×D5911yescharacteristic, complemented
1028C4×Q16—591no—
1029C4×Q16—591no—
1030C4×Q16—591no—
1031C4×Q16—591no—
1032C4×Q16—591no—
1033C4×Q16—591no—
1034C4×D8—591no—
1035C4×D8—591no—
1036C4×D8—591no—
1037C4×D8—591no—
1038C4×D8—591no—
1039C4×D8—591no—
1040C4×D8—591no—
1041C4×D8—591no—
1042C4×D8—591no—
1043C4×D8—591no—
1044#436—591no—
1045#435—591no—
1046#435C2×D5911yescharacteristic
1047C8×D4—591no—
1048C8×D4—591no—
1049C8×D4—591no—
1050#433—591no—
1051#433—591no—
1052#432—591no—
1053C2×#107—591no—
1054C2×#107—591no—
1055C2×#107—591no—
1056#417—591no—
1057#417—591no—
1058#417—591no—
1059#417C2×D5911yescharacteristic, complemented
1060C2×#102—591no—
1061C2×#102C2×D5911yescharacteristic
1062#405—591no—
1063#405—591no—
1064C2×C4×C8—591no—
1065C59#6148211yescharacteristic, complemented, Sylow
1066C2×#41—591no—
1067C2×#41—591no—
1068C2×#41—591no—
1069C2×#41—1181no—
1070C2×#41—1181no—
1071C2×#41C22×D5911yescharacteristic
1072C22×Q8—1181no—
1073C22×Q8—1181no—
1074C22×D4—591no—
1075C22×D4C22×D5911yescharacteristic
1076C23×C4—1181no—
1077C23×C4—1181no—
1078#135—1184no—
1079#135—1184no—
1080C2×Q16—591no—
1081C2×Q16—591no—
1082C2×Q16—591no—
1083C2×Q16C22×D5911yescharacteristic
1084C2×SD16—591no—
1085C2×SD16—591no—
1086C2×SD16—591no—
1087C2×SD16—591no—
1088C2×SD16—591no—
1089C2×SD16—591no—
1090C2×SD16C22×D5911yescharacteristic
1091C2×SD16C22×D5911yescharacteristic
1092C2×D8—591no—
1093C2×D8—591no—
1094C2×D8—591no—
1095C2×D8—591no—
1096C2×D8—1184no—
1097C2×M16—591no—
1098C2×M16C22×D5911yescharacteristic
1099C22×C8—591no—
1100C22×C8—591no—
1101C22×C8—591no—
1102C22×C8C22×D5911yescharacteristic
1103C4⋊Q8—591no—
1104C4⋊Q8—591no—
1105C4⋊Q8—591no—
1106C4⋊Q8—591no—
1107C4⋊Q8—591no—
1108C4⋊Q8—591no—
1109C4⋊Q8—591no—
1110C4⋊Q8C22×D5911yescharacteristic
1111#126—591no—
1112#126—591no—
1113#126—1181no—
1114#126—1181no—
1115#126—1181no—
1116#126—1181no—
1117#126—1181no—
1118#126—1181no—
1119#126—1181no—
1120#126—1181no—
1121#125—21no—
1122#125—591no—
1123#125—1181no—
1124#125—1181no—
1125#125—1181no—
1126#125—1181no—
1127#125—1181no—
1128#124—591no—
1129#124—591no—
1130#124—591no—
1131#124—591no—
1132#124—1181no—
1133#124—1181no—
1134#124—1181no—
1135#124—1181no—
1136#124C22×D5911yescharacteristic
1137#123—21no—
1138#123—591no—
1139#123—591no—
1140#123—1181no—
1141#123—1181no—
1142#123—1181no—
1143#123—1181no—
1144#123—1181no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151#123—1181no—
1152#123—1181no—
1153#123—1181no—
1154#123—1181no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—591no—
1158C22⋊Q8—591no—
1159C22⋊Q8—591no—
1160C22⋊Q8—591no—
1161C22⋊Q8—591no—
1162C22⋊Q8—591no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8—1181no—
1169C22⋊Q8—1181no—
1170C22⋊Q8—1181no—
1171C22⋊Q8—1181no—
1172C22⋊Q8—1181no—
1173C22⋊Q8—1181no—
1174C22⋊Q8—1181no—
1175C22⋊Q8—1181no—
1176C22⋊Q8—1181no—
1177C22⋊Q8—1181no—
1178C22⋊Q8—1181no—
1179C22⋊Q8—1181no—
1180C22⋊Q8—1181no—
1181C22⋊Q8—1181no—
1182C22⋊Q8—1181no—
1183C22⋊Q8—1181no—
1184C22⋊Q8—1181no—
1185C22⋊Q8C22×D5911yescharacteristic
1186C22⋊Q8C22×D5911yescharacteristic
1187C22⋊Q8C22×D5911yescharacteristic
1188#121—21no—
1189#121—591no—
1190#121—591no—
1191#121—591no—
1192#121—591no—
1193#121—1181no—
1194#121—1181no—
1195#121—1181no—
1196#121—1181no—
1197#121—1181no—
1198#121C22×D5911yescharacteristic
1199#120—21no—
1200#120—1181no—
1201#120—1181no—
1202#120—1181no—
1203C4×Q8—591no—
1204C4×Q8—591no—
1205C4×Q8—591no—
1206C4×Q8—591no—
1207C4×Q8—591no—
1208C4×Q8—591no—
1209C4×Q8—591no—
1210C4×Q8—591no—
1211C4×Q8—1181no—
1212C4×Q8—1181no—
1213C4×Q8C22×D5911yescharacteristic
1214C4×D4—21no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—591no—
1221C4×D4—591no—
1222C4×D4—591no—
1223C4×D4—591no—
1224C4×D4—591no—
1225C4×D4—591no—
1226C4×D4—591no—
1227C4×D4—591no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4—1181no—
1239C4×D4—1181no—
1240C4×D4—1181no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4C22×D5911yescharacteristic
1244C4×D4C22×D5911yescharacteristic
1245#117—591no—
1246#117—591no—
1247#117—1181no—
1248#117—1181no—
1249#117—1181no—
1250#117—1181no—
1251#117—1181no—
1252#117—1181no—
1253#117—1181no—
1254#117—1181no—
1255C2×C4⋊C4—591no—
1256C2×C4⋊C4—591no—
1257C2×C4⋊C4—591no—
1258C2×C4⋊C4—591no—
1259C2×C4⋊C4—1181no—
1260C2×C4⋊C4—1181no—
1261C2×C4⋊C4—1181no—
1262C2×C4⋊C4—1181no—
1263C2×C4⋊C4—1181no—
1264C2×C4⋊C4—1181no—
1265C2×C4⋊C4C22×D5911yescharacteristic
1266C2×C4⋊C4C22×D5911yescharacteristic
1267C2×C22⋊C4—21no—
1268C2×C22⋊C4—1181no—
1269C2×C22⋊C4—1181no—
1270C2×C22⋊C4—1181no—
1271C2×C22⋊C4—1181no—
1272C2×C22⋊C4—1181no—
1273C2×C42—591no—
1274#107—591no—
1275#107—591no—
1276#107—591no—
1277#107—591no—
1278#107—591no—
1279#107—591no—
1280#107—591no—
1281#107—591no—
1282#107—591no—
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107C22×D5911yescharacteristic
1288#107C22×D5911yescharacteristic
1289#107C22×D5911yescharacteristic
1290C4⋊C8—591no—
1291C4⋊C8—591no—
1292C4⋊C8—591no—
1293C4⋊C8—591no—
1294C4⋊C8—591no—
1295C4⋊C8C22×D5911yescharacteristic
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103—591no—
1300#103—591no—
1301#103—591no—
1302#103—591no—
1303#103—591no—
1304#103—591no—
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103C22×D5911yescharacteristic
1309#103C22×D5911yescharacteristic
1310#103C22×D5911yescharacteristic
1311#103C22×D5911yescharacteristic
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102—591no—
1316#102—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102C22×D5911yescharacteristic
1323#102C22×D5911yescharacteristic
1324#102C22×D5911yescharacteristic
1325#102C22×D5911yescharacteristic
1326#102C22×D5911yescharacteristic
1327#102C22×D5911yescharacteristic
1328C22⋊C8—591no—
1329C22⋊C8—591no—
1330C22⋊C8—591no—
1331C22⋊C8—591no—
1332C22⋊C8C22×D5911yescharacteristic
1333C22⋊C8C22×D5911yescharacteristic
1334#97—591no—
1335#97—591no—
1336#97—591no—
1337#97C22×D5911yescharacteristic
1338C4×C8—591no—
1339C4×C8—591no—
1340C4×C8—591no—
1341C4×C8—591no—
1342C4×C8—591no—
1343C4×C8—591no—
1344C24—21no—
1345C24—1181no—
1346#41—22no—
1347#41—41no—
1348#41—1182no—
1349#41—1182no—
1350#41—1182no—
1351#41—4722no—
1352#41—4722no—
1353#41—2361no—
1354#41—2361no—
1355#41—2361no—
1356C2×Q8—21no—
1357C2×Q8—591no—
1358C2×Q8—591no—
1359C2×Q8—591no—
1360C2×Q8—1181no—
1361C2×Q8—1181no—
1362C2×Q8—1181no—
1363C2×Q8—1181no—
1364C2×Q8—1181no—
1365C2×Q8—4722no—
1366C2×Q8—4722no—
1367C2×Q8C23×D5911yescharacteristic
1368C2×Q8C23×D5911yescharacteristic
1369C2×D4—22no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—41no—
1374C2×D4—591no—
1375C2×D4—591no—
1376C2×D4—591no—
1377C2×D4—591no—
1378C2×D4—1182no—
1379C2×D4—1181no—
1380C2×D4—1181no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—1181no—
1386C2×D4—2361no—
1387C2×D4D4×D5911yescharacteristic
1388C2×D4C23×D5911yescharacteristic
1389C2×D4C23×D5911yescharacteristic
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—591no—
1395C22×C4—591no—
1396C22×C4—591no—
1397C22×C4—1181no—
1398C22×C4—1181no—
1399C22×C4—1181no—
1400C22×C4—1181no—
1401C22×C4—1181no—
1402C22×C4—1181no—
1403C22×C4—1181no—
1404C22×C4—1181no—
1405C22×C4—1181no—
1406C22×C4—1181no—
1407C22×C4—1181no—
1408C22×C4—1181no—
1409C22×C4—1181no—
1410C22×C4—1181no—
1411C22×C4—1181no—
1412C22×C4—1181no—
1413C22×C4—1181no—
1414C22×C4—1181no—
1415C22×C4—4722no—
1416C22×C4—4722no—
1417C22×C4C23×D5911yescharacteristic
1418C22×C4C23×D5911yescharacteristic
1419Q16—41no—
1420Q16—1182no—
1421Q16—1182no—
1422Q16—2361no—
1423SD16—22no—
1424SD16—41no—
1425SD16—1182no—
1426SD16—1182no—
1427SD16—1182no—
1428SD16—2361no—
1429SD16—2361no—
1430SD16—2361no—
1431D8—594no—
1432D8—1182no—
1433D8—1182no—
1434D8—1182no—
1435M16—41no—
1436M16—2361no—
1437C2×C8—41no—
1438C2×C8—591no—
1439C2×C8—591no—
1440C2×C8—591no—
1441C2×C8—591no—
1442C2×C8—1182no—
1443C2×C8—1182no—
1444C2×C8—1182no—
1445C2×C8C23×D5911yescharacteristic
1446C2×C8C23×D5911yescharacteristic
1447C2×C8C23×D5911yescharacteristic
1448C2×C8C23×D5911yescharacteristic
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—591no—
1457C4⋊C4—591no—
1458C4⋊C4—591no—
1459C4⋊C4—591no—
1460C4⋊C4—591no—
1461C4⋊C4—591no—
1462C4⋊C4—591no—
1463C4⋊C4—591no—
1464C4⋊C4—591no—
1465C4⋊C4—591no—
1466C4⋊C4—591no—
1467C4⋊C4—591no—
1468C4⋊C4—591no—
1469C4⋊C4—1181no—
1470C4⋊C4—1181no—
1471C4⋊C4—1181no—
1472C4⋊C4—1181no—
1473C4⋊C4—1181no—
1474C4⋊C4—1181no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4D4×D5911yescharacteristic
1495C4⋊C4C23×D5911yescharacteristic
1496C4⋊C4C23×D5911yescharacteristic
1497C4⋊C4C23×D5911yescharacteristic
1498C4⋊C4C23×D5911yescharacteristic
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—591no—
1507C22⋊C4—591no—
1508C22⋊C4—591no—
1509C22⋊C4—591no—
1510C22⋊C4—591no—
1511C22⋊C4—591no—
1512C22⋊C4—591no—
1513C22⋊C4—591no—
1514C22⋊C4—1181no—
1515C22⋊C4—1181no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4—1181no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4D4×D5911yescharacteristic
1540C22⋊C4D4×D5911yescharacteristic
1541C42—21no—
1542C42—591no—
1543C42—591no—
1544C42—591no—
1545C42—591no—
1546C42—591no—
1547C42—1181no—
1548C42—1181no—
1549C42—1181no—
1550C42—1181no—
1551C42—1181no—
1552C42—1181no—
1553C42—1181no—
1554C42C23×D5911yescharacteristic
1555C23—21no—
1556C23—21no—
1557C23—42no—
1558C23—42no—
1559C23—81no—
1560C23—591no—
1561C23—1181no—
1562C23—1181no—
1563C23—4721no—
1564C23—2362no—
1565C23—2362no—
1566C23C2×D4×D5911yescharacteristic
1567C23C2×D4×D5911yescharacteristic
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—21no—
1572Q8—81no—
1573Q8—1182no—
1574Q8—1181no—
1575Q8—1181no—
1576Q8—1181no—
1577Q8—1181no—
1578Q8—4721no—
1579Q8—4721no—
1580Q8—4721no—
1581Q8—2362no—
1582Q8—2362no—
1583D4—22no—
1584D4—21no—
1585D4—21no—
1586D4—21no—
1587D4—42no—
1588D4—42no—
1589D4—81no—
1590D4—592no—
1591D4—1182no—
1592D4—1182no—
1593D4—1181no—
1594D4—1181no—
1595D4—1181no—
1596D4—4721no—
1597D4—4721no—
1598D4—4721no—
1599D4—2362no—
1600D4—2362no—
1601D4—2362no—
1602D4—2362no—
1603D4#41×D5912yes—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—42no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—591no—
1619C2×C4—591no—
1620C2×C4—591no—
1621C2×C4—591no—
1622C2×C4—591no—
1623C2×C4—591no—
1624C2×C4—591no—
1625C2×C4—1182no—
1626C2×C4—1182no—
1627C2×C4—1181no—
1628C2×C4—1181no—
1629C2×C4—1181no—
1630C2×C4—1181no—
1631C2×C4—1181no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—4721no—
1636C2×C4—4721no—
1637C2×C4—4721no—
1638C2×C4—4721no—
1639C2×C4—4721no—
1640C2×C4—4721no—
1641C2×C4—4721no—
1642C2×C4—4721no—
1643C2×C4—4721no—
1644C2×C4—4721no—
1645C2×C4—4721no—
1646C2×C4—2362no—
1647C2×C4—2362no—
1648C2×C4—2362no—
1649C2×C4—2362no—
1650C2×C4—2362no—
1651C2×C4—2362no—
1652C2×C4—2362no—
1653C2×C4C2×D4×D5911yescharacteristic
1654C2×C4C2×D4×D5911yescharacteristic
1655C2×C4C2×D4×D5911yescharacteristic
1656C2×C4C2×D4×D5911yescharacteristic
1657C2×C4C24×D5911yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—592no—
1663C8—1181no—
1664C8—1181no—
1665C8—1181no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—22no—
1671C22—21no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—84no—
1678C22—1181no—
1679C22—1181no—
1680C22—1182no—
1681C22—1181no—
1682C22—4724no—
1683C22—2361no—
1684C22—2361no—
1685C22—2361no—
1686C22—2361no—
1687C22—2361no—
1688C22#1683821812yes—
1689C22C22×D4×D5911yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—592no—
1701C4—1181no—
1702C4—1181no—
1703C4—1181no—
1704C4—1181no—
1705C4—1181no—
1706C4—1181no—
1707C4—2361no—
1708C4—2361no—
1709C4—2361no—
1710C4—2361no—
1711C4—2361no—
1712C4—2361no—
1713C4C2×#41×D5911yescharacteristic
1714C4#1683823711yescharacteristic
1715C2—22no—
1716C2—41no—
1717C2—42no—
1718C2—81no—
1719C2—4721no—
1720C2—2361no—
1721C2—2362no—
1722C2#2143758011yescharacteristic
1723C2#576×D5911yescharacteristic
1724C2C2×#1683821811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3314C2
socleC22×C59C23×D4
hypercenter#3314D59
hypocenterC59#61482
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #21438141C2semidirect
2. #21438132C2semidirect
3. #21437079C2semidirect
4. #21436946C2semidirect
5. #21436815C2semidirect
6. #21436811C2semidirect
7. #21436484C2semidirect
8. #21436483C2semidirect
9. #21436438C2semidirect
10. #21436397C2semidirect
11. #21436396C2semidirect
12. #21436183C2semidirect
13. #21436179C2semidirect
14. #21436173C2semidirect
15. #21435811C2semidirect
16. #21435777C2semidirect
17. #21435774C2semidirect
18. #21434734C2semidirect
19. #21434730C2semidirect
20. #21434677C2semidirect
21. #21434363C2semidirect
22. #21434359C2semidirect
23. #21434357C2semidirect
24. #21434353C2semidirect
25. #21434192C2semidirect
26. #21434190C2semidirect
27. #21433066C2semidirect
28. #21432968C2semidirect
29. #21432967C2semidirect
30. C2×#16837482C2semidirect
31. C59×#3314C2semidirect
35. #16838124C22semidirect
36. #16838121C22semidirect
46. D4×Dic118C22semidirect
47. #16838067C22semidirect
50. #16838054C22semidirect
51. #16838053C22semidirect
52. #16838052C22semidirect
53. #16838051C22semidirect
57. #16838026C22semidirect
58. #16838025C22semidirect
59. #16838021C22semidirect
60. #16838019C22semidirect
72. #16837885C22semidirect
73. #16837884C22semidirect
74. #16837883C22semidirect
75. #16837881C22semidirect
78. #16837806C22semidirect
79. #16837806C22semidirect
80. #16837805C22semidirect
83. #16837780C22semidirect
84. #16837763C22semidirect
85. #16837762C22semidirect
86. #16837760C22semidirect
87. #16837751C22semidirect
88. #16837751C22semidirect
89. #16837739C22semidirect
92. #16837737C22semidirect
93. #16837736C22semidirect
95. #16837735C22semidirect
96. #16837717C22semidirect
97. #16837716C22semidirect
98. #16837714C22semidirect
99. #16837697C22semidirect
100. #16837696C22semidirect
101. #16837695C22semidirect
102. #16837694C22semidirect
103. #16837683C22semidirect
104. #16837681C22semidirect
105. #16837681C22semidirect
106. #16837681C22semidirect
107. #16837680C22semidirect
108. #16837680C22semidirect
109. #16837680C22semidirect
110. #16837651C22semidirect
111. #16837648C22semidirect
112. #16837647C22semidirect
114. #16837642C22semidirect
117. #16837641C22semidirect
120. #16837626C22semidirect
121. #16837625C22semidirect
122. #16837623C22semidirect
127. #16837606C22semidirect
128. #16837606C22semidirect
129. #16837605C22semidirect
130. #16837605C22semidirect
131. #16837566C22semidirect
132. #16837565C22semidirect
133. #16837563C22semidirect
141. #16837530C22semidirect
142. #16837526C22semidirect
143. #16837505C22semidirect
144. #16837505C22semidirect
145. #16837505C22semidirect
146. #16837504C22semidirect
147. #16837503C22semidirect
148. #16837503C22semidirect
149. #16837501C22semidirect
150. #16837501C22semidirect
151. #16837499C22semidirect
152. #16837499C22semidirect
153. #16837499C22semidirect
154. Q16×Dic59C22semidirect
155. #16837496C22semidirect
156. C4×#11745672C22semidirect
157. #16837494C22semidirect
158. #16837494C22semidirect
159. #16837494C22semidirect
170. #16837478C22semidirect
174. (C22⋊D59)⋊C8C22semidirect
175. #16837462C22semidirect
176. #16837460C22semidirect
179. C2×#14273660C22semidirect
180. #107×D59C22semidirect
181. #16837404C22semidirect
182. #16837402C22semidirect
183. #16837400C22semidirect
185. #16837360C22semidirect
186. #16837359C22semidirect
190. C59×#489C22semidirect
192. C59×#480C22semidirect
193. C59×#474C22semidirect
194. C59×#468C22semidirect
196. C59×#464C22semidirect
197. C59×#452C22semidirect
199. C59×#440C22semidirect
201. C59×#417C22semidirect
612. #11745669#41semidirect
867. #3314D59semidirect
951. #489C2×D59semidirect
965. #480C2×D59semidirect
977. #474C2×D59semidirect
981. #468C2×D59semidirect
993. #464C2×D59semidirect
1005. #452C2×D59semidirect
1027. #440C2×D59semidirect
1059. #417C2×D59semidirect
1065. C59#61482semidirect

Maximal subgroups

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

subgroupindex
#214381412
#214381322
#214370792
#214369462
#214368152
#214368112
#214364842
#214364832
#214364382
#214363972
#214363962
#214361832
#214361792
#214361732
#214358112
#214357772
#214357742
#214347342
#214347302
#214346772
#214343632
#214343592
#214343572
#214343532
#214341922
#214341902
#214330662
#214329682
#214329672
C2×#168374822
C59×#33142
#6148259