Finite Group Databasebeta

← #29484180

Subgroups — #29484180

Order 15104.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438616C211yesmaximal, characteristic, complemented
2#21438110C211yesmaximal, characteristic, complemented
3#21437162C211yesmaximal, characteristic, complemented
4#21436912C211yesmaximal, characteristic, complemented
5#21436906C211yesmaximal, characteristic, complemented
6#21436330C211yesmaximal, characteristic, complemented
7#21436329C211yesmaximal, characteristic, complemented
8#21436259C211yesmaximal, characteristic, complemented
9#21436257C211yesmaximal, characteristic, complemented
10#21436169C211yesmaximal, characteristic, complemented
11#21436167C211yesmaximal, characteristic, complemented
12#21435751C211yesmaximal, characteristic, complemented
13#21435748C211yesmaximal, characteristic, complemented
14#21435612C211yesmaximal, characteristic, complemented
15#21435605C211yesmaximal, characteristic, complemented
16#21435597C211yesmaximal, characteristic, complemented
17#21435590C211yesmaximal, characteristic, complemented
18#21435555C211yesmaximal, characteristic, complemented
19#21435554C211yesmaximal, characteristic, complemented
20#21435480C211yesmaximal, characteristic, complemented
21#21435185C211yesmaximal, characteristic, complemented
22#21435183C211yesmaximal, characteristic, complemented
23#21435094C211yesmaximal, characteristic, complemented
24#21434329C211yesmaximal, characteristic, complemented
25#21434321C211yesmaximal, characteristic, complemented
26#21434243C211yesmaximal, characteristic, complemented
27#21433615C211yesmaximal, characteristic, complemented
28#21433612C211yesmaximal, characteristic, complemented
29#21433585C211yesmaximal, characteristic, complemented
30#21433265C211yesmaximal, characteristic, complemented
31C59×#3401C211yesmaximal, characteristic, complemented
32C2×#14273759C2211yescharacteristic, complemented
33C2×#14273756C2211yescharacteristic, complemented
34C2×#14273756C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×SD16×D59C2211yescharacteristic, complemented
38#16838149—21no—
39#16838144—21no—
40#16838137C2211yescharacteristic
41Q8×Dic118C2211yescharacteristic, complemented
42#16838125C2211yescharacteristic, complemented
43#16838125C2211yescharacteristic, complemented
44#16838123—21no—
45#16838119—21no—
46#16838119—21no—
47#16838117C2211yescharacteristic, complemented
48#16838115—21no—
49#16838067C2211yescharacteristic, complemented
50#16838064C2211yescharacteristic
51#16838060C2211yescharacteristic
52#16838060C2211yescharacteristic, complemented
53#16838060C2211yescharacteristic, complemented
54#16838048—21no—
55#16838047C2211yescharacteristic
56#16838045C2211yescharacteristic
57#16838044—21no—
58D4×D236C2211yescharacteristic
59#16838037C2211yescharacteristic
60#16838024C2211yescharacteristic
61#16838021C2211yescharacteristic, complemented
62#16838021C2211yescharacteristic, complemented
63#16838018—21no—
64#16838018—21no—
65#16838017C2211yescharacteristic
66#16837988—21no—
67#16837986—21no—
68#16837985—21no—
69#16837970C2211yescharacteristic
70#16837965C2211yescharacteristic
71#16837963—21no—
72#16837957C2211yescharacteristic, complemented
73#16837955—21no—
74#16837949C2211yescharacteristic
75#16837939C2211yescharacteristic
76#16837938—21no—
77#124×D59C2211yescharacteristic
78#16837878C2211yescharacteristic, complemented
79#16837878C2211yescharacteristic, complemented
80C4×#11745687C2211yescharacteristic, complemented
81#16837794C2211yescharacteristic, complemented
82#16837792C2211yescharacteristic
83#16837784C2211yescharacteristic, complemented
84#16837762C2211yescharacteristic, complemented
85#16837762C2211yescharacteristic, complemented
86#16837761C2211yescharacteristic, complemented
87#16837761C2211yescharacteristic, complemented
88#16837749C2211yescharacteristic
89#16837748C2211yescharacteristic
90#16837746C2211yescharacteristic, complemented
91#16837742C2211yescharacteristic, complemented
92#16837728C2211yescharacteristic
93#16837728C2211yescharacteristic, complemented
94#16837724C2211yescharacteristic
95#16837724C2211yescharacteristic, complemented
96#16837698C2211yescharacteristic, complemented
97#16837697C2211yescharacteristic, complemented
98#16837695C2211yescharacteristic, complemented
99#16837695C2211yescharacteristic, complemented
100#16837686C2211yescharacteristic, complemented
101#16837683C2211yescharacteristic, complemented
102#16837683C2211yescharacteristic, complemented
103#16837682C2211yescharacteristic, complemented
104#16837682C2211yescharacteristic, complemented
105#16837680C2211yescharacteristic, complemented
106#16837651C2211yescharacteristic
107#16837651C2211yescharacteristic, complemented
108#16837651C2211yescharacteristic, complemented
109#16837647C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic
111#16837645C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic, complemented
114#16837642C2211yescharacteristic, complemented
115#16837640C2211yescharacteristic, complemented
116#16837637C2211yescharacteristic
117#16837635C2211yescharacteristic
118#16837627C2211yescharacteristic, complemented
119#16837626C2211yescharacteristic, complemented
120#16837626C2211yescharacteristic, complemented
121#16837625C2211yescharacteristic, complemented
122#16837625C2211yescharacteristic, complemented
123#16837624C2211yescharacteristic, complemented
124#16837623C2211yescharacteristic, complemented
125#16837622C2211yescharacteristic, complemented
126#16837622C2211yescharacteristic, complemented
127#16837621C2211yescharacteristic, complemented
128#16837621C2211yescharacteristic, complemented
129#16837621C2211yescharacteristic, complemented
130#16837619C2211yescharacteristic, complemented
131#16837617C2211yescharacteristic, complemented
132#16837615C2211yescharacteristic, complemented
133#16837614C2211yescharacteristic, complemented
134#16837604C2211yescharacteristic, complemented
135#16837603C2211yescharacteristic
136#16837602C2211yescharacteristic
137#16837601C2211yescharacteristic, complemented
138#16837600C2211yescharacteristic, complemented
139#16837600C2211yescharacteristic, complemented
140#16837599C2211yescharacteristic
141#16837595C2211yescharacteristic, complemented
142#16837563C2211yescharacteristic, complemented
143#16837561C2211yescharacteristic, complemented
144#16837559C2211yescharacteristic, complemented
145#16837556C2211yescharacteristic, complemented
146#16837556C2211yescharacteristic, complemented
147#16837556C2211yescharacteristic, complemented
148#16837551C2211yescharacteristic
149#16837551C2211yescharacteristic
150#16837551C2211yescharacteristic, complemented
151#16837551C2211yescharacteristic, complemented
152#16837548C2211yescharacteristic, complemented
153#16837546C2211yescharacteristic, complemented
154#16837544C2211yescharacteristic, complemented
155#16837544C2211yescharacteristic, complemented
156#16837542C2211yescharacteristic
157#16837539C2211yescharacteristic
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837533C2211yescharacteristic, complemented
161#16837512C2211yescharacteristic, complemented
162#16837507C2211yescharacteristic, complemented
163#16837504C2211yescharacteristic, complemented
164#16837504C2211yescharacteristic, complemented
165#16837502C2211yescharacteristic, complemented
166#16837502C2211yescharacteristic, complemented
167C4×Dic236C2211yescharacteristic, complemented
168C4×#11745672C2211yescharacteristic, complemented
169C4×#11745671C2211yescharacteristic, complemented
170#16837481C2211yescharacteristic, complemented
171#16837479C2211yescharacteristic, complemented
172#16837475C2211yescharacteristic, complemented
173#16837475C2211yescharacteristic, complemented
174#16837472C2211yescharacteristic, complemented
175#16837472C2211yescharacteristic, complemented
176#16837464C2211yescharacteristic, complemented
177#16837461C2211yescharacteristic, complemented
178#16837457C2211yescharacteristic, complemented
179#16837427C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837409C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic
184#16837405C2211yescharacteristic, complemented
185#16837405C2211yescharacteristic, complemented
186#16837397C2211yescharacteristic, complemented
187#16837395C2211yescharacteristic, complemented
188C59×#559C2211yescharacteristic
189C59×#556C2211yescharacteristic, complemented
190C59×#497C2211yescharacteristic, complemented
191C59×#496C2211yescharacteristic
192C59×#495C2211yescharacteristic, complemented
193C59×#464C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#461C2211yescharacteristic, complemented
198C59×#460C2211yescharacteristic
199C59×#446C2211yescharacteristic, complemented
200C59×#442C2211yescharacteristic, complemented
201C59×#441C2211yescharacteristic, complemented
202C4×SD16×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745687C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C2×Q8×D59C2311yescharacteristic
210C22×D236—21no—
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215#14273759—42no—
216#14273756—42no—
217#14273756—42no—
218#14273751—42no—
219C2×Dic236C2311yescharacteristic
220C2×#11745672C2311yescharacteristic
221C2×#11745672C2311yescharacteristic
222C2×#11745672C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232SD16×D59—42no—
233SD16×D59—42no—
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745659C2311yescharacteristic
237C2×#11745659C2311yescharacteristic
238C2×#11745659C2311yescharacteristic
239C2×#11745659C2311yescharacteristic
240C2×C8×D59C2311yescharacteristic
241C2×C8×D59C2311yescharacteristic
242#14273727C2311yescharacteristic
243#14273727C2311yescharacteristic
244#14273727C2311yescharacteristic
245#14273726—21no—
246#14273726—21no—
247#14273726—21no—
248#14273726—21no—
249#14273726C2311yescharacteristic
250#14273724C2311yescharacteristic
251#14273723C2311yescharacteristic
252#14273722—21no—
253#14273722—21no—
254#14273722—21no—
255#14273722—21no—
256#14273722D411yescharacteristic
257#14273722D411yescharacteristic
258#14273721—21no—
259#14273720—21no—
260#14273720—21no—
261#14273720—21no—
262#14273718—21no—
263#14273718D411yescharacteristic
264#14273716—21no—
265#14273716D411yescharacteristic
266#14273716C2311yescharacteristic
267#14273715—21no—
268#14273715—21no—
269#14273715—21no—
270#14273715—21no—
271#14273715C2311yescharacteristic
272#14273715C2311yescharacteristic
273#14273714C2311yescharacteristic
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273713—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712D411yescharacteristic
289#14273712D411yescharacteristic
290#14273711—21no—
291#14273711—21no—
292#14273711—21no—
293#14273710—21no—
294#14273709—21no—
295#14273707—21no—
296#14273707—21no—
297#14273707C2311yescharacteristic
298#14273706—21no—
299#14273705—21no—
300#14273705—21no—
301#14273705—21no—
302#14273704—21no—
303#14273704—21no—
304#14273704—21no—
305#14273704—21no—
306#14273704—21no—
307#14273703D411yescharacteristic
308#14273703C2311yescharacteristic
309#14273703C2311yescharacteristic
310#14273703C2311yescharacteristic
311#14273703C2311yescharacteristic
312#14273703C2311yescharacteristic
313#14273702—21no—
314#14273702D411yescharacteristic
315#14273702C2311yescharacteristic
316#14273702C2311yescharacteristic
317#14273701—21no—
318#14273701—21no—
319#14273701—21no—
320#14273700—21no—
321#14273700—21no—
322#14273700—21no—
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273699—21no—
328#14273699—21no—
329#14273698—21no—
330#14273698C2311yescharacteristic
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273697—21no—
338#14273697—21no—
339#14273697—21no—
340#14273695—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695—21no—
344Q8×Dic59—21no—
345Q8×Dic59C2311yescharacteristic
346Q8×Dic59C2311yescharacteristic
347C4×Dic118—21no—
348C4×Dic118—21no—
349C4×Dic118—21no—
350C4×Dic118—21no—
351C4×Dic118C2311yescharacteristic
352C4×Dic118C2311yescharacteristic
353C4×Dic118C2311yescharacteristic
354C4×Dic118C2311yescharacteristic
355#14273692—21no—
356#14273692—21no—
357#14273692—21no—
358#14273692C2311yescharacteristic
359C4×D236—21no—
360C4×D236C2311yescharacteristic
361C4×D236C2311yescharacteristic
362C4×D236C2311yescharacteristic
363C4×D236C2311yescharacteristic
364C4×D236C2311yescharacteristic
365D4×Dic59C2311yescharacteristic
366#14273689—21no—
367#14273689—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4—21no—
374#14273686—21no—
375#14273685—21no—
376#14273685—21no—
377#14273685—21no—
378#14273685C2311yescharacteristic
379#14273685C2311yescharacteristic
380#14273685C2311yescharacteristic
381#14273684—21no—
382#14273684—21no—
383#14273684C2311yescharacteristic
384#14273684C2311yescharacteristic
385#14273683—21no—
386C2×(C2×D59)⋊C4—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C2×C4×Dic59—21no—
391C42×D59C2311yescharacteristic
392#14273661C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273658C2311yescharacteristic
399C4⋊(C59⋊C8)C2311yescharacteristic
400C4⋊(C59⋊C8)C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438#14273638C2311yescharacteristic
439#14273638C2311yescharacteristic
440C4×C59⋊C8C2311yescharacteristic
441C2×Q16×C59C2311yescharacteristic
442C2×Q16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C4⋊Q8×C59C2311yescharacteristic
451#127×C59C2311yescharacteristic
452#126×C59—21no—
453#126×C59—21no—
454#124×C59—21no—
455#124×C59C2311yescharacteristic
456#124×C59C2311yescharacteristic
457#124×C59C2311yescharacteristic
458#124×C59C2311yescharacteristic
459#123×C59—21no—
460#123×C59—21no—
461C22⋊Q8×C59—21no—
462C4×Q8×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×Q8×C59C2311yescharacteristic
465C4×Q8×C59C2311yescharacteristic
466C4×D4×C59—21no—
467C4×D4×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469C4×D4×C59C2311yescharacteristic
470#117×C59—21no—
471#106×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C2×Q8×C59C2×D411yescharacteristic
488C2×Q8×C59C2411yescharacteristic
489C2×Q8×C59C2411yescharacteristic
490C2×Q8×C59C2411yescharacteristic
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59C2411yescharacteristic
494C2×D4×C59C2411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C2×C22⋊D59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
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—
510C22×Dic59—21no—
511C22×Dic59—21no—
512C22×Dic59—21no—
513#11745689—41no—
514#11745689—41no—
515Q8×D59—22no—
516Q8×D59—22no—
517Q8×D59—41no—
518Q8×D59—41no—
519Q8×D59—41no—
520Q8×D59—41no—
521#11745687—22no—
522#11745687—41no—
523#11745687—41no—
524#11745687—41no—
525D4×D59—41no—
526D4×D59—41no—
527D4×D59—41no—
528D4×D59—41no—
529D4×D59—41no—
530D4×D59—41no—
531D4×D59—82no—
532#11745685—82no—
533C2×D236—21no—
534C2×D236—21no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—82no—
539C2×D236C2×D411yescharacteristic
540C2×D236C2×D411yescharacteristic
541C2×D236C2×D411yescharacteristic
542C2×D236C2411yescharacteristic
543C2×D236C2411yescharacteristic
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59C2×D411yescharacteristic
551C2×C4×D59C2×D411yescharacteristic
552C2×C4×D59C2411yescharacteristic
553C2×C4×D59C2411yescharacteristic
554C2×C4×D59C2411yescharacteristic
555C2×Dic118—21no—
556C2×Dic118—21no—
557C2×Dic118—21no—
558C2×Dic118—21no—
559C2×Dic118—21no—
560C2×Dic118—21no—
561C2×Dic118—21no—
562C2×Dic118C2411yescharacteristic
563C2×Dic118C2411yescharacteristic
564Q16×C59—41no—
565Q16×C59—41no—
566SD16×C59—41no—
567SD16×C59—41no—
568SD16×C59—41no—
569SD16×C59—41no—
570SD16×C59—41no—
571D8×C59—41no—
572D8×C59—41no—
573C2×C8×C59C2411yescharacteristic
574C2×C8×C59C2411yescharacteristic
575C2×C8×C59C2411yescharacteristic
576C2×C8×C59C2411yescharacteristic
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59C2×D411yescharacteristic
583C4⋊C4×C59C2×D411yescharacteristic
584C4⋊C4×C59C2×D411yescharacteristic
585C4⋊C4×C59C2411yescharacteristic
586C4⋊C4×C59C2411yescharacteristic
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C42×C59—21no—
599C42×C59—21no—
600C42×C59—21no—
601C42×C59C2411yescharacteristic
602C42×C59C2411yescharacteristic
603C42×C59C2411yescharacteristic
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611#11745672—22no—
612#11745672—41no—
613#11745672—41no—
614#11745671—41no—
615#11745671—41no—
616#11745671—41no—
617#11745671—41no—
618#11745670—22no—
619#11745670—22no—
620#11745670—41no—
621#11745669—41no—
622#11745669—41no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
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)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4C2×D411yescharacteristic
643(C2×D59)⋊C4C2×D411yescharacteristic
644(C2×D59)⋊C4C2×D411yescharacteristic
645(C2×D59)⋊C4C2×D411yescharacteristic
646(C2×D59)⋊C4C2×D411yescharacteristic
647(C2×D59)⋊C4C2×D411yescharacteristic
648(C2×D59)⋊C4C2×D411yescharacteristic
649(C2×D59)⋊C4C2×D411yescharacteristic
650(C2×D59)⋊C4C2×D411yescharacteristic
651(C2×D59)⋊C4C2×D411yescharacteristic
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59—21no—
658C4⋊Dic59C2×D411yescharacteristic
659C4⋊Dic59C2×D411yescharacteristic
660C4⋊Dic59C2×D411yescharacteristic
661C4⋊Dic59C2411yescharacteristic
662C4⋊Dic59C2411yescharacteristic
663C4⋊Dic59C2411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697Dic236—22no—
698#11745660—22no—
699#11745660—22no—
700#11745659—41no—
701#11745659—41no—
702#11745659—41no—
703#11745659—41no—
704C8×D59—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—42no—
712C22×D59—81no—
713C22×D59—81no—
714C22×D59—81no—
715C22×D59—81no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59C22×D411yescharacteristic
721C22×D59C22×D411yescharacteristic
722C22×D59C22×D411yescharacteristic
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727Q8×C59—21no—
728Q8×C59—21no—
729Q8×C59—41no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—81no—
737D4×C59—81no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—42no—
744C2×C4×C59—81no—
745C2×C4×C59—81no—
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C2511yescharacteristic
753C22⋊D59—42no—
754C22⋊D59—42no—
755C22⋊D59—81no—
756C22⋊D59—81no—
757C22⋊D59—81no—
758C22⋊D59—81no—
759C22⋊D59—81no—
760C22⋊D59—81no—
761C22⋊D59—81no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—42no—
771C2×Dic59—81no—
772C2×Dic59—81no—
773C2×Dic59C22×D411yescharacteristic
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778D236—21no—
779D236—21no—
780D236—21no—
781D236—21no—
782D236—41no—
783D236—41no—
784D236—41no—
785D236—42no—
786D236—81no—
787D236—81no—
788D236—81no—
789D236—81no—
790C4×D59—21no—
791C4×D59—21no—
792C4×D59—21no—
793C4×D59—21no—
794C4×D59—21no—
795C4×D59—21no—
796C4×D59—41no—
797C4×D59—41no—
798C4×D59—42no—
799C4×D59—42no—
800C4×D59—81no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804Dic118—21no—
805Dic118—21no—
806Dic118—21no—
807Dic118—42no—
808Dic118—42no—
809Dic118—81no—
810Dic118—81no—
811Dic118—81no—
812Dic118—81no—
813Dic118—81no—
814Dic118H(5,𝔽2)12yes—
815C8×C59—21no—
816C8×C59—21no—
817C8×C59—21no—
818C8×C59—21no—
819C59⋊C8—21no—
820C59⋊C8—21no—
821C59⋊C8—21no—
822C59⋊C8—21no—
823#62092—591nomaximal, Sylow
824C22×C59—41no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59C23×D411yescharacteristic
834C2×D59—21no—
835C2×D59—21no—
836C2×D59—21no—
837C2×D59—21no—
838C2×D59—21no—
839C2×D59—21no—
840C2×D59—21no—
841C2×D59—21no—
842C2×D59—21no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—162no—
850C2×D59—162no—
851C2×D59—162no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—21no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59C2×H(5,𝔽2)11yescharacteristic
864C4×C59#58511yescharacteristic
865Dic59—21no—
866Dic59—21no—
867Dic59—22no—
868Dic59—21no—
869Dic59—21no—
870Dic59—21no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876#3558—591no—
877#3518—591no—
878#3401—591no—
879#3401D5911yescharacteristic, complemented
880#3375—591no—
881#3375—591no—
882#3324—591no—
883#3324—591no—
884#3319—591no—
885#3319—591no—
886#3313—591no—
887#3313—591no—
888#3277—591no—
889#3277—591no—
890#3266—591no—
891#3266—591no—
892#3265—591no—
893#3265—591no—
894#3262—591no—
895#3262—591no—
896#3254—591no—
897#3224—591no—
898#3224—591no—
899#3215—591no—
900#3121—591no—
901#3121—591no—
902#3115—591no—
903#3043—591no—
904#3043—591no—
905#3040—591no—
906#2995—591no—
907C2×C59—81no—
908C2×C59—81no—
909C2×C59—81no—
910C2×C59#348811yescharacteristic
911C2×C59#358511yescharacteristic
912C2×C59#358611yescharacteristic
913D59—41no—
914D59—41no—
915D59—41no—
916D59—81no—
917D59—81no—
918C2×#137—591no—
919C2×#137—591no—
920C2×#137—591no—
921C2×AGL(1,ℤ/8)—591no—
922C22×SD16—591no—
923C22×SD16—591no—
924#562—1181no—
925H(3,𝔽4)—1181no—
926#559—591no—
927#559C2×D5911yescharacteristic
928Q82—591no—
929#556—591no—
930#556—591no—
931#556—1181no—
932#556—1181no—
933#556—1181no—
934#556C2×D5911yescharacteristic, complemented
935#555—591no—
936#555—1181no—
937D4×Q8—591no—
938#548—591no—
939#548—591no—
940#548—591no—
941#548—591no—
942#546—591no—
943#546—591no—
944#546—1181no—
945#546—1181no—
946D42—591no—
947D42—591no—
948#542—591no—
949#542—591no—
950#542—591no—
951#542—591no—
952#542—1181no—
953#542—1181no—
954#538—1181no—
955#538—1181no—
956#538—1181no—
957#535—591no—
958#535—591no—
959#534—1181no—
960#533—591no—
961#533—1181no—
962#532—591no—
963#529—591no—
964#529—1181no—
965C2×#124—591no—
966#519—591no—
967#519—591no—
968C4×#41—591no—
969#497—591no—
970#497C2×D5911yescharacteristic, complemented
971#496—591no—
972#496C2×D5911yescharacteristic
973#495—591no—
974#495C2×D5911yescharacteristic, complemented
975#489—591no—
976#489—591no—
977#489—591no—
978#489—591no—
979#486—591no—
980#486—591no—
981#485—591no—
982#485—591no—
983#482—591no—
984#482—591no—
985#482—591no—
986#482—591no—
987#477—591no—
988#477—591no—
989#477—591no—
990#477—591no—
991#475—591no—
992#474—591no—
993#474—591no—
994#474—591no—
995#474—591no—
996#474—591no—
997#468—591no—
998#468—591no—
999#468—591no—
1000#468—591no—
1001#468—591no—
1002#468—591no—
1003#468—591no—
1004#468—591no—
1005#467—591no—
1006#467—591no—
1007#466—591no—
1008#466—591no—
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#464—591no—
1015#464—591no—
1016#464—591no—
1017#464—591no—
1018#464—591no—
1019#464—591no—
1020#464—591no—
1021#464C2×D5911yescharacteristic, complemented
1022#464C2×D5911yescharacteristic, complemented
1023#463—591no—
1024#463—591no—
1025#463—591no—
1026#463—591no—
1027#463C2×D5911yescharacteristic, complemented
1028#463C2×D5911yescharacteristic, complemented
1029#461—591no—
1030#461C2×D5911yescharacteristic, complemented
1031#460—591no—
1032#460—591no—
1033#460—591no—
1034#460—591no—
1035#460—591no—
1036#460—591no—
1037#460C2×D5911yescharacteristic
1038#459—591no—
1039#452—591no—
1040#452—591no—
1041#451—591no—
1042#451—591no—
1043#451—591no—
1044#451—591no—
1045#450—591no—
1046#450—591no—
1047#450—591no—
1048#450—591no—
1049#449—591no—
1050#449—591no—
1051#449—591no—
1052#449—591no—
1053#448—591no—
1054#448—591no—
1055#447—591no—
1056#447—591no—
1057#446—591no—
1058#446C2×D5911yescharacteristic, complemented
1059#442—591no—
1060#442C2×D5911yescharacteristic, complemented
1061#441—591no—
1062#441C2×D5911yescharacteristic, complemented
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066#440—591no—
1067C4×Q16—591no—
1068C4×Q16—591no—
1069C4×SD16—591no—
1070C4×SD16C2×D5911yescharacteristic, complemented
1071#436—591no—
1072#436—591no—
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076#435—591no—
1077#433—591no—
1078#433—591no—
1079#432—591no—
1080#424—591no—
1081#424—591no—
1082#423—591no—
1083#419—591no—
1084#418—591no—
1085#418—591no—
1086#418—591no—
1087#416—591no—
1088#416—591no—
1089C59#6209211yescharacteristic, complemented, Sylow
1090C2×#41—591no—
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—1181no—
1094C22×Q8—591no—
1095C22×Q8—591no—
1096C22×Q8—591no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—591no—
1100C22×D4—1181no—
1101C22×D4—1181no—
1102#137—2362no—
1103#137—2362no—
1104#137—2362no—
1105AGL(1,ℤ/8)—2362no—
1106C2×Q16—591no—
1107C2×Q16—591no—
1108C2×Q16—591no—
1109C2×Q16—591no—
1110C2×Q16C22×D5911yescharacteristic
1111C2×Q16C22×D5911yescharacteristic
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—2362no—
1122C2×SD16—2362no—
1123C2×SD16C22×D5911yescharacteristic
1124C2×SD16C22×D5911yescharacteristic
1125C2×SD16C22×D5911yescharacteristic
1126C2×SD16C22×D5911yescharacteristic
1127C2×SD16C22×D5911yescharacteristic
1128C2×D8—591no—
1129C2×D8—591no—
1130C2×D8C22×D5911yescharacteristic
1131C2×D8C22×D5911yescharacteristic
1132C2×M16—591no—
1133C2×M16—591no—
1134C2×M16—591no—
1135C2×M16—591no—
1136C22×C8—591no—
1137C22×C8—591no—
1138C4⋊Q8—591no—
1139C4⋊Q8—591no—
1140C4⋊Q8—591no—
1141C4⋊Q8—591no—
1142C4⋊Q8—1181no—
1143C4⋊Q8—1181no—
1144C4⋊Q8—1181no—
1145C4⋊Q8—1181no—
1146C4⋊Q8C22×D5911yescharacteristic
1147#127—591no—
1148#127—591no—
1149#127C22×D5911yescharacteristic
1150#126—21no—
1151#126—21no—
1152#126—591no—
1153#126—591no—
1154#126—1181no—
1155#126—1181no—
1156#126—1181no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#126—1181no—
1161#126—1181no—
1162#125—591no—
1163#125—1181no—
1164#124—21no—
1165#124—591no—
1166#124—591no—
1167#124—591no—
1168#124—591no—
1169#124—591no—
1170#124—1181no—
1171#124—1181no—
1172#124—1181no—
1173#124—1181no—
1174#124—1181no—
1175#124—1181no—
1176#124—1181no—
1177#124—1181no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#124—1181no—
1185#124—1181no—
1186#124C22×D5911yescharacteristic
1187#124C22×D5911yescharacteristic
1188#124C22×D5911yescharacteristic
1189#124C22×D5911yescharacteristic
1190#123—21no—
1191#123—21no—
1192#123—591no—
1193#123—591no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202C22⋊Q8—21no—
1203C22⋊Q8—591no—
1204C22⋊Q8—591no—
1205C22⋊Q8—591no—
1206C22⋊Q8—591no—
1207C22⋊Q8—591no—
1208C22⋊Q8—591no—
1209C22⋊Q8—591no—
1210C22⋊Q8—1181no—
1211C22⋊Q8—1181no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221#121—591no—
1222#121—591no—
1223#121—591no—
1224#121—591no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—1181no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#120—1181no—
1243#120—1181no—
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251#120—1181no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×Q8—591no—
1259C4×Q8—1181no—
1260C4×Q8—1181no—
1261C4×Q8—1181no—
1262C4×Q8—1181no—
1263C4×Q8—1181no—
1264C4×Q8—1181no—
1265C4×Q8—1181no—
1266C4×Q8—1181no—
1267C4×Q8C22×D5911yescharacteristic
1268C4×Q8C22×D5911yescharacteristic
1269C4×Q8C22×D5911yescharacteristic
1270C4×Q8C22×D5911yescharacteristic
1271C4×D4—21no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4C22×D5911yescharacteristic
1288C4×D4C22×D5911yescharacteristic
1289C4×D4C22×D5911yescharacteristic
1290#117—21no—
1291#117—591no—
1292#117—591no—
1293#117—591no—
1294#117—591no—
1295#117—591no—
1296#117—1181no—
1297#117—1181no—
1298#117—1181no—
1299#117—1181no—
1300#117—1181no—
1301#117—1181no—
1302#117—1181no—
1303C2×C22⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C22⋊C4—1181no—
1306C2×C22⋊C4—1181no—
1307C2×C42—591no—
1308C2×C42—1181no—
1309#107—591no—
1310#107—591no—
1311#107—591no—
1312#107—591no—
1313#107—591no—
1314#107—591no—
1315#106—591no—
1316#106C22×D5911yescharacteristic
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8—591no—
1324C4⋊C8C22×D5911yescharacteristic
1325C4⋊C8C22×D5911yescharacteristic
1326C4⋊C8C22×D5911yescharacteristic
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#103—591no—
1336#103—591no—
1337#103—591no—
1338#103C22×D5911yescharacteristic
1339#103C22×D5911yescharacteristic
1340#103C22×D5911yescharacteristic
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#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102C22×D5911yescharacteristic
1357#102C22×D5911yescharacteristic
1358#102C22×D5911yescharacteristic
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8—591no—
1362C22⋊C8—591no—
1363C22⋊C8—591no—
1364C22⋊C8—591no—
1365#97—591no—
1366#97—591no—
1367#97C22×D5911yescharacteristic
1368#97C22×D5911yescharacteristic
1369C4×C8—591no—
1370C4×C8C22×D5911yescharacteristic
1371C24—1181no—
1372C24—1181no—
1373C24—1181no—
1374#41—1182no—
1375#41—4722no—
1376#41—2361no—
1377#41—2361no—
1378#41—2361no—
1379#41—2361no—
1380#41—2361no—
1381C2×Q8—591no—
1382C2×Q8—591no—
1383C2×Q8—1181no—
1384C2×Q8—1181no—
1385C2×Q8—1181no—
1386C2×Q8—1181no—
1387C2×Q8—1181no—
1388C2×Q8—1181no—
1389C2×Q8—1181no—
1390C2×Q8—1182no—
1391C2×Q8—1182no—
1392C2×Q8—2361no—
1393C2×Q8—2361no—
1394C2×Q8—2361no—
1395C2×Q8—2361no—
1396C2×Q8D4×D5911yescharacteristic
1397C2×Q8C23×D5911yescharacteristic
1398C2×Q8C23×D5911yescharacteristic
1399C2×Q8C23×D5911yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—591no—
1403C2×D4—591no—
1404C2×D4—591no—
1405C2×D4—591no—
1406C2×D4—591no—
1407C2×D4—1181no—
1408C2×D4—1181no—
1409C2×D4—1181no—
1410C2×D4—1181no—
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—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—4722no—
1424C2×D4—4722no—
1425C2×D4—2361no—
1426C2×D4—2361no—
1427C2×D4—2361no—
1428C2×D4—2361no—
1429C2×D4—2361no—
1430C2×D4—2361no—
1431C2×D4C23×D5911yescharacteristic
1432C2×D4C23×D5911yescharacteristic
1433C2×D4C23×D5911yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—591no—
1438C22×C4—591no—
1439C22×C4—591no—
1440C22×C4—591no—
1441C22×C4—591no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451Q16—41no—
1452Q16—41no—
1453Q16—1182no—
1454Q16—1182no—
1455Q16—2361no—
1456Q16—2361no—
1457SD16—41no—
1458SD16—41no—
1459SD16—41no—
1460SD16—41no—
1461SD16—41no—
1462SD16—1182no—
1463SD16—1182no—
1464SD16—1182no—
1465SD16—1182no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469SD16—2361no—
1470SD16—2361no—
1471D8—41no—
1472D8—41no—
1473D8—2361no—
1474D8—2361no—
1475M16—2361no—
1476M16—2361no—
1477M16—2361no—
1478M16—2361no—
1479C2×C8—591no—
1480C2×C8—591no—
1481C2×C8—591no—
1482C2×C8—591no—
1483C2×C8—2361no—
1484C2×C8—2361no—
1485C2×C8C23×D5911yescharacteristic
1486C2×C8C23×D5911yescharacteristic
1487C2×C8C23×D5911yescharacteristic
1488C2×C8C23×D5911yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—591no—
1495C4⋊C4—591no—
1496C4⋊C4—591no—
1497C4⋊C4—591no—
1498C4⋊C4—591no—
1499C4⋊C4—591no—
1500C4⋊C4—591no—
1501C4⋊C4—591no—
1502C4⋊C4—591no—
1503C4⋊C4—591no—
1504C4⋊C4—591no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1523C4⋊C4D4×D5911yescharacteristic
1524C4⋊C4D4×D5911yescharacteristic
1525C4⋊C4C23×D5911yescharacteristic
1526C4⋊C4C23×D5911yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—591no—
1539C22⋊C4—591no—
1540C22⋊C4—591no—
1541C22⋊C4—591no—
1542C22⋊C4—591no—
1543C22⋊C4—591no—
1544C22⋊C4—591no—
1545C22⋊C4—591no—
1546C22⋊C4—591no—
1547C22⋊C4—591no—
1548C22⋊C4—1181no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
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—
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—591no—
1578C42—591no—
1579C42—591no—
1580C42—1181no—
1581C42—1181no—
1582C42—1181no—
1583C42—1181no—
1584C42—1181no—
1585C42—1181no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42C23×D5911yescharacteristic
1591C42C23×D5911yescharacteristic
1592C42C23×D5911yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—591no—
1597C23—591no—
1598C23—591no—
1599C23—1181no—
1600C23—1181no—
1601C23—4721no—
1602C23—4721no—
1603C23—4721no—
1604C23—4721no—
1605C23—4721no—
1606C23—4721no—
1607C23—4721no—
1608C23—4721no—
1609C23—2362no—
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—41no—
1617Q8—592no—
1618Q8—1181no—
1619Q8—1181no—
1620Q8—1181no—
1621Q8—4721no—
1622Q8—4721no—
1623Q8—4721no—
1624Q8—4721no—
1625Q8—4721no—
1626Q8—2362no—
1627Q8—2362no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—81no—
1635D4—81no—
1636D4—1181no—
1637D4—1181no—
1638D4—1181no—
1639D4—1181no—
1640D4—4721no—
1641D4—4721no—
1642D4—4721no—
1643D4—4721no—
1644D4—4721no—
1645D4—4721no—
1646D4—4721no—
1647D4—4721no—
1648D4—4721no—
1649D4—4721no—
1650D4—4721no—
1651D4—4721no—
1652D4—4721no—
1653D4—2361no—
1654D4—2361no—
1655D4—2361no—
1656D4—2362no—
1657D4—2362no—
1658D4—2362no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—42no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—591no—
1668C2×C4—591no—
1669C2×C4—591no—
1670C2×C4—591no—
1671C2×C4—591no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—4721no—
1688C2×C4—4721no—
1689C2×C4—4721no—
1690C2×C4—2361no—
1691C2×C4—2361no—
1692C2×C4—2362no—
1693C2×C4—2362no—
1694C2×C4—2362no—
1695C2×C4C2×D4×D5911yescharacteristic
1696C2×C4C2×D4×D5911yescharacteristic
1697C2×C4C2×D4×D5911yescharacteristic
1698C2×C4C2×D4×D5911yescharacteristic
1699C2×C4C2×D4×D5911yescharacteristic
1700C2×C4C2×D4×D5911yescharacteristic
1701C2×C4C24×D5911yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1181no—
1707C8—1181no—
1708C8—1181no—
1709C8—1181no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—1181no—
1720C22—1181no—
1721C22—1181no—
1722C22—1181no—
1723C22—1181no—
1724C22—1181no—
1725C22—1181no—
1726C22—1181no—
1727C22—1181no—
1728C22—9442no—
1729C22—9442no—
1730C22—9442no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22C22×D4×D5911yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—1181no—
1750C4—1181no—
1751C4—1181no—
1752C4—1182no—
1753C4—1181no—
1754C4—1181no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4H(5,𝔽2)×D5911yescharacteristic
1761C4#1683823811yescharacteristic
1762C2—81no—
1763C2—81no—
1764C2—81no—
1765C2—4721no—
1766C2—4721no—
1767C2—2361no—
1768C2—2361no—
1769C2—2361no—
1770C2#2143776411yescharacteristic
1771C2#2143887411yescharacteristic
1772C2#2143888011yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3401C2
socleC22×C59C23×D4
hypercenter#3401D59
hypocenterC59#62092
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3401

Complements

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

NH ≅ G/Ntype
1. #21438616C2semidirect
2. #21438110C2semidirect
3. #21437162C2semidirect
4. #21436912C2semidirect
5. #21436906C2semidirect
6. #21436330C2semidirect
7. #21436329C2semidirect
8. #21436259C2semidirect
9. #21436257C2semidirect
10. #21436169C2semidirect
11. #21436167C2semidirect
12. #21435751C2semidirect
13. #21435748C2semidirect
14. #21435612C2semidirect
15. #21435605C2semidirect
16. #21435597C2semidirect
17. #21435590C2semidirect
18. #21435555C2semidirect
19. #21435554C2semidirect
20. #21435480C2semidirect
21. #21435185C2semidirect
22. #21435183C2semidirect
23. #21435094C2semidirect
24. #21434329C2semidirect
25. #21434321C2semidirect
26. #21434243C2semidirect
27. #21433615C2semidirect
28. #21433612C2semidirect
29. #21433585C2semidirect
30. #21433265C2semidirect
31. C59×#3401C2semidirect
32. C2×#14273759C22semidirect
33. C2×#14273756C22semidirect
34. C2×#14273756C22semidirect
36. C2×SD16×D59C22semidirect
37. C2×SD16×D59C22semidirect
41. Q8×Dic118C22semidirect
42. #16838125C22semidirect
43. #16838125C22semidirect
47. #16838117C22semidirect
49. #16838067C22semidirect
52. #16838060C22semidirect
53. #16838060C22semidirect
61. #16838021C22semidirect
62. #16838021C22semidirect
72. #16837957C22semidirect
78. #16837878C22semidirect
79. #16837878C22semidirect
80. C4×#11745687C22semidirect
81. #16837794C22semidirect
83. #16837784C22semidirect
84. #16837762C22semidirect
85. #16837762C22semidirect
86. #16837761C22semidirect
87. #16837761C22semidirect
90. #16837746C22semidirect
91. #16837742C22semidirect
93. #16837728C22semidirect
95. #16837724C22semidirect
96. #16837698C22semidirect
97. #16837697C22semidirect
98. #16837695C22semidirect
99. #16837695C22semidirect
100. #16837686C22semidirect
101. #16837683C22semidirect
102. #16837683C22semidirect
103. #16837682C22semidirect
104. #16837682C22semidirect
105. #16837680C22semidirect
107. #16837651C22semidirect
108. #16837651C22semidirect
109. #16837647C22semidirect
111. #16837645C22semidirect
112. #16837645C22semidirect
113. #16837645C22semidirect
114. #16837642C22semidirect
115. #16837640C22semidirect
118. #16837627C22semidirect
119. #16837626C22semidirect
120. #16837626C22semidirect
121. #16837625C22semidirect
122. #16837625C22semidirect
123. #16837624C22semidirect
124. #16837623C22semidirect
125. #16837622C22semidirect
126. #16837622C22semidirect
127. #16837621C22semidirect
128. #16837621C22semidirect
129. #16837621C22semidirect
130. #16837619C22semidirect
131. #16837617C22semidirect
132. #16837615C22semidirect
133. #16837614C22semidirect
134. #16837604C22semidirect
137. #16837601C22semidirect
138. #16837600C22semidirect
139. #16837600C22semidirect
141. #16837595C22semidirect
142. #16837563C22semidirect
143. #16837561C22semidirect
144. #16837559C22semidirect
145. #16837556C22semidirect
146. #16837556C22semidirect
147. #16837556C22semidirect
150. #16837551C22semidirect
151. #16837551C22semidirect
152. #16837548C22semidirect
153. #16837546C22semidirect
154. #16837544C22semidirect
155. #16837544C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837533C22semidirect
161. #16837512C22semidirect
162. #16837507C22semidirect
163. #16837504C22semidirect
164. #16837504C22semidirect
165. #16837502C22semidirect
166. #16837502C22semidirect
167. C4×Dic236C22semidirect
168. C4×#11745672C22semidirect
169. C4×#11745671C22semidirect
170. #16837481C22semidirect
171. #16837479C22semidirect
172. #16837475C22semidirect
173. #16837475C22semidirect
174. #16837472C22semidirect
175. #16837472C22semidirect
176. #16837464C22semidirect
177. #16837461C22semidirect
178. #16837457C22semidirect
179. #16837427C22semidirect
180. #16837427C22semidirect
181. #16837424C22semidirect
182. #16837409C22semidirect
184. #16837405C22semidirect
185. #16837405C22semidirect
186. #16837397C22semidirect
187. #16837395C22semidirect
189. C59×#556C22semidirect
190. C59×#497C22semidirect
192. C59×#495C22semidirect
193. C59×#464C22semidirect
194. C59×#464C22semidirect
195. C59×#463C22semidirect
196. C59×#463C22semidirect
197. C59×#461C22semidirect
199. C59×#446C22semidirect
200. C59×#442C22semidirect
201. C59×#441C22semidirect
202. C4×SD16×C59C22semidirect
879. #3401D59semidirect
934. #556C2×D59semidirect
970. #497C2×D59semidirect
974. #495C2×D59semidirect
1021. #464C2×D59semidirect
1022. #464C2×D59semidirect
1027. #463C2×D59semidirect
1028. #463C2×D59semidirect
1030. #461C2×D59semidirect
1058. #446C2×D59semidirect
1060. #442C2×D59semidirect
1062. #441C2×D59semidirect
1070. C4×SD16C2×D59semidirect
1089. C59#62092semidirect

Maximal subgroups

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

subgroupindex
#214386162
#214381102
#214371622
#214369122
#214369062
#214363302
#214363292
#214362592
#214362572
#214361692
#214361672
#214357512
#214357482
#214356122
#214356052
#214355972
#214355902
#214355552
#214355542
#214354802
#214351852
#214351832
#214350942
#214343292
#214343212
#214342432
#214336152
#214336122
#214335852
#214332652
C59×#34012
#6209259