Finite Group Databasebeta

← #29483975

Subgroups — #29483975

Order 15104.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438471C211yesmaximal, characteristic, complemented
2#21438039C211yesmaximal, characteristic, complemented
3#21437162C211yesmaximal, characteristic, complemented
4#21437140C211yesmaximal, characteristic, complemented
5#21436803C211yesmaximal, characteristic, complemented
6#21436420C211yesmaximal, characteristic, complemented
7#21436311C211yesmaximal, characteristic, complemented
8#21436234C211yesmaximal, characteristic, complemented
9#21436219C211yesmaximal, characteristic, complemented
10#21436071C211yesmaximal, characteristic, complemented
11#21436056C211yesmaximal, characteristic, complemented
12#21435717C211yesmaximal, characteristic, complemented
13#21435702C211yesmaximal, characteristic, complemented
14#21435638C211yesmaximal, characteristic, complemented
15#21435627C211yesmaximal, characteristic, complemented
16#21435582C211yesmaximal, characteristic, complemented
17#21435578C211yesmaximal, characteristic, complemented
18#21435565C211yesmaximal, characteristic, complemented
19#21435513C211yesmaximal, characteristic, complemented
20#21435457C211yesmaximal, characteristic, complemented
21#21435191C211yesmaximal, characteristic, complemented
22#21435149C211yesmaximal, characteristic, complemented
23#21435136C211yesmaximal, characteristic, complemented
24#21434369C211yesmaximal, characteristic, complemented
25#21434284C211yesmaximal, characteristic, complemented
26#21434185C211yesmaximal, characteristic, complemented
27#21433636C211yesmaximal, characteristic, complemented
28#21433597C211yesmaximal, characteristic, complemented
29#21433561C211yesmaximal, characteristic, complemented
30#21433265C211yesmaximal, characteristic, complemented
31C59×#3376C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic, complemented
33C2×#14273754C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic
36C2×#14273748C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic
38#16838143—21no—
39#16838143—21no—
40#16838137C2211yescharacteristic, complemented
41#16838105C2211yescharacteristic
42#16838100—21no—
43#16838096—21no—
44#16838090C2211yescharacteristic, complemented
45#16838079—21no—
46#16838079—21no—
47#16838074C2211yescharacteristic
48#16838074C2211yescharacteristic, complemented
49#16838074C2211yescharacteristic, complemented
50#16838055C2211yescharacteristic, complemented
51#16838055C2211yescharacteristic, complemented
52#16838047C2211yescharacteristic
53#16838047C2211yescharacteristic, complemented
54#16838045C2211yescharacteristic
55#16838045C2211yescharacteristic, complemented
56#16838043—21no—
57#16838043—21no—
58D4×D236C2211yescharacteristic, complemented
59D4×D236C2211yescharacteristic, complemented
60#16838026C2211yescharacteristic, complemented
61#16838024C2211yescharacteristic, complemented
62#16838024C2211yescharacteristic, complemented
63#16838008C2211yescharacteristic, complemented
64#16838001—21no—
65#16837992—21no—
66#16837991—21no—
67#16837991—21no—
68#16837982—21no—
69#16837971—21no—
70#16837970C2211yescharacteristic, complemented
71#16837970C2211yescharacteristic, complemented
72#16837953C2211yescharacteristic, complemented
73#16837949C2211yescharacteristic, complemented
74#16837939C2211yescharacteristic
75#16837937C2211yescharacteristic, complemented
76#16837915—21no—
77C2×#14273712—21no—
78#16837881C2211yescharacteristic, complemented
79#16837874C2211yescharacteristic, complemented
80C4×D4×D59C2211yescharacteristic, complemented
81#16837794C2211yescharacteristic, complemented
82#16837792C2211yescharacteristic
83#16837791C2211yescharacteristic, complemented
84#16837791C2211yescharacteristic, complemented
85#16837784C2211yescharacteristic, complemented
86#16837779C2211yescharacteristic, complemented
87#16837768C2211yescharacteristic, complemented
88#16837768C2211yescharacteristic, complemented
89#16837750C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837731C2211yescharacteristic, complemented
92#16837729C2211yescharacteristic, complemented
93#16837722C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837719C2211yescharacteristic, complemented
96#16837699C2211yescharacteristic, complemented
97#16837699C2211yescharacteristic, complemented
98#16837691C2211yescharacteristic, complemented
99#16837690C2211yescharacteristic, complemented
100#16837689C2211yescharacteristic, complemented
101#16837686C2211yescharacteristic, complemented
102#16837681C2211yescharacteristic, complemented
103#16837659C2211yescharacteristic, complemented
104#16837656C2211yescharacteristic
105#16837656C2211yescharacteristic, complemented
106#16837656C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic
108#16837651C2211yescharacteristic, complemented
109#16837649C2211yescharacteristic, complemented
110#16837647C2211yescharacteristic, complemented
111#16837639C2211yescharacteristic, complemented
112#16837634C2211yescharacteristic, complemented
113#16837634C2211yescharacteristic, complemented
114#16837632C2211yescharacteristic, complemented
115#16837627C2211yescharacteristic, complemented
116#16837627C2211yescharacteristic, complemented
117#16837624C2211yescharacteristic, complemented
118#16837621C2211yescharacteristic, complemented
119#16837620C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837618C2211yescharacteristic, complemented
126#16837618C2211yescharacteristic, complemented
127#16837617C2211yescharacteristic, complemented
128#16837614C2211yescharacteristic, complemented
129#16837604C2211yescharacteristic, complemented
130#16837603C2211yescharacteristic, complemented
131#16837602C2211yescharacteristic, complemented
132#16837601C2211yescharacteristic, complemented
133#16837598C2211yescharacteristic, complemented
134#16837598C2211yescharacteristic, complemented
135#16837598C2211yescharacteristic, complemented
136#16837597C2211yescharacteristic
137#16837597C2211yescharacteristic, complemented
138#16837597C2211yescharacteristic, complemented
139#16837596C2211yescharacteristic, complemented
140#16837596C2211yescharacteristic, complemented
141#16837595C2211yescharacteristic
142#16837567C2211yescharacteristic, complemented
143#16837567C2211yescharacteristic, complemented
144#16837567C2211yescharacteristic, complemented
145#16837561C2211yescharacteristic, complemented
146#16837554C2211yescharacteristic, complemented
147#16837551C2211yescharacteristic, complemented
148#16837550C2211yescharacteristic, complemented
149#16837550C2211yescharacteristic, complemented
150#16837550C2211yescharacteristic, complemented
151#16837550C2211yescharacteristic, complemented
152#16837550C2211yescharacteristic, complemented
153#16837548C2211yescharacteristic
154#16837537C2211yescharacteristic
155#16837537C2211yescharacteristic
156#16837537C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic
160#16837533C2211yescharacteristic, complemented
161#16837515C2211yescharacteristic, complemented
162#16837515C2211yescharacteristic, complemented
163#16837512C2211yescharacteristic, complemented
164#16837512C2211yescharacteristic, complemented
165#16837512C2211yescharacteristic, complemented
166#16837507C2211yescharacteristic, complemented
167C4×#11745660C2211yescharacteristic, complemented
168C4×#11745671C2211yescharacteristic, complemented
169C4×#11745669C2211yescharacteristic, 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#16837405C2211yescharacteristic, complemented
183#16837402C2211yescharacteristic, complemented
184#16837402C2211yescharacteristic, complemented
185#16837402C2211yescharacteristic, complemented
186#16837397C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#556C2211yescharacteristic, complemented
189C59×#554C2211yescharacteristic, complemented
190C59×#491C2211yescharacteristic, complemented
191C59×#489C2211yescharacteristic, complemented
192C59×#488C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#478C2211yescharacteristic, complemented
195C59×#475C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic
197C59×#463C2211yescharacteristic
198C59×#461C2211yescharacteristic, complemented
199C59×#446C2211yescharacteristic, complemented
200C59×#442C2211yescharacteristic
201C59×#440C2211yescharacteristic, complemented
202C4×SD16×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689—21no—
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745685—21no—
210C2×#11745687C2311yescharacteristic
211C22×D236—21no—
212C22×D236—21no—
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215C2×D4×D59C2311yescharacteristic
216C2×D4×D59C2311yescharacteristic
217C22×C4×D59—21no—
218#14273754—42no—
219#14273754—42no—
220#14273754—42no—
221#14273751—42no—
222#14273748—42no—
223C2×#11745672C2311yescharacteristic
224C2×#11745672C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×D472C2311yescharacteristic
234C2×D472C2311yescharacteristic
235C2×D472C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×D472C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244D8×D59—42no—
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C2×C8×D59C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251#14273726C2311yescharacteristic
252#14273724—21no—
253#14273724—21no—
254#14273724C2311yescharacteristic
255#14273724C2311yescharacteristic
256#14273724C2311yescharacteristic
257#14273724C2311yescharacteristic
258#14273723C2311yescharacteristic
259#14273722—21no—
260#14273722—21no—
261#14273722—21no—
262#14273722—21no—
263#14273722D411yescharacteristic
264#14273722D411yescharacteristic
265#14273721—21no—
266#14273721—21no—
267#14273718—21no—
268#14273718D411yescharacteristic
269#14273716—21no—
270#14273716—21no—
271#14273716D411yescharacteristic
272#14273716C2311yescharacteristic
273#14273716C2311yescharacteristic
274#14273715—21no—
275#14273715—21no—
276#14273715C2311yescharacteristic
277#14273715C2311yescharacteristic
278#14273713—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712D411yescharacteristic
294#14273712D411yescharacteristic
295#14273711—21no—
296#14273711—21no—
297#14273709—21no—
298#14273709—21no—
299#14273707C2311yescharacteristic
300#14273707C2311yescharacteristic
301#14273705—21no—
302#14273705—21no—
303#14273703—21no—
304#14273703—21no—
305#14273703D411yescharacteristic
306#14273703C2311yescharacteristic
307#14273703C2311yescharacteristic
308#14273702—21no—
309#14273702—21no—
310#14273702—21no—
311#14273702—21no—
312#14273702—21no—
313#14273702—21no—
314#14273702—21no—
315#14273702—21no—
316#14273702—21no—
317#14273702—21no—
318#14273702—21no—
319#14273702—21no—
320#14273702—21no—
321#14273702D411yescharacteristic
322#14273702C2311yescharacteristic
323#14273702C2311yescharacteristic
324#14273702C2311yescharacteristic
325#14273702C2311yescharacteristic
326#14273702C2311yescharacteristic
327#14273702C2311yescharacteristic
328#14273702C2311yescharacteristic
329#14273701—21no—
330#14273701—21no—
331#14273701—21no—
332#14273701—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273700—21no—
340#14273698C2311yescharacteristic
341#14273697—21no—
342#14273697—21no—
343#14273697—21no—
344#14273697—21no—
345#14273697—21no—
346#14273697—21no—
347#14273697—21no—
348#14273697—21no—
349#14273697—21no—
350#14273697—21no—
351#14273697—21no—
352#14273697—21no—
353C4×Dic118C2311yescharacteristic
354#14273692C2311yescharacteristic
355C4×D236—21no—
356C4×D236—21no—
357C4×D236C2311yescharacteristic
358C4×D236C2311yescharacteristic
359C4×D236C2311yescharacteristic
360C4×D236C2311yescharacteristic
361C4×D236C2311yescharacteristic
362C4×D236C2311yescharacteristic
363C4×D236C2311yescharacteristic
364C4×D236C2311yescharacteristic
365D4×Dic59C2311yescharacteristic
366#14273689—21no—
367#14273689—21no—
368#14273689—21no—
369#14273689—21no—
370#14273689—21no—
371#14273689C2311yescharacteristic
372#14273689C2311yescharacteristic
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59—21no—
376C4×C22⋊D59—21no—
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380#14273685—21no—
381#14273685—21no—
382#14273685C2311yescharacteristic
383#14273684C2311yescharacteristic
384#14273684C2311yescharacteristic
385#14273683—21no—
386C2×Dic59⋊C4—21no—
387C4⋊C4×D59—21no—
388C4⋊C4×D59C2311yescharacteristic
389C4⋊C4×D59C2311yescharacteristic
390C2×(C2×D59)⋊C4—21no—
391C2×(C2×D59)⋊C4—21no—
392C2×(C2×D59)⋊C4—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C22⋊C4×D59—21no—
396C22⋊C4×D59—21no—
397C42×D59C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404C4⋊(C59⋊C8)C2311yescharacteristic
405C4⋊(C59⋊C8)C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
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×SD16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444C4⋊Q8×C59C2311yescharacteristic
445C4⋊Q8×C59C2311yescharacteristic
446#126×C59—21no—
447#126×C59—21no—
448#125×C59C2311yescharacteristic
449#125×C59C2311yescharacteristic
450#124×C59C2311yescharacteristic
451#124×C59C2311yescharacteristic
452C22⋊Q8×C59—21no—
453C22⋊Q8×C59—21no—
454C22⋊Q8×C59—21no—
455C22⋊Q8×C59—21no—
456C4×Q8×C59C2311yescharacteristic
457C4×Q8×C59C2311yescharacteristic
458C4×Q8×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463#117×C59—21no—
464C2×C4⋊C4×C59—21no—
465#107×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469C4⋊C8×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#102×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—
487C23×D59—21no—
488C2×Q8×C59—21no—
489C2×Q8×C59C2×D411yescharacteristic
490C2×Q8×C59C2411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59C2411yescharacteristic
493C2×D4×C59C2411yescharacteristic
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C2×C22⋊D59—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—
506C22×Dic59—21no—
507C22×Dic59—21no—
508#11745689—41no—
509#11745689—41no—
510#11745689—41no—
511#11745689—41no—
512#11745689—41no—
513#11745689—41no—
514#11745689—41no—
515#11745689—41no—
516#11745689—82no—
517#11745689—82no—
518#11745687—22no—
519#11745687—41no—
520D4×D59—22no—
521D4×D59—22no—
522D4×D59—41no—
523D4×D59—41no—
524D4×D59—41no—
525D4×D59—41no—
526D4×D59—41no—
527D4×D59—41no—
528#11745685—82no—
529C2×D236—21no—
530C2×D236—21no—
531C2×D236—21no—
532C2×D236—21no—
533C2×D236—21no—
534C2×D236—21no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—21no—
546C2×D236—21no—
547C2×D236—21no—
548C2×D236—82no—
549C2×D236—82no—
550C2×D236C2×D411yescharacteristic
551C2×D236C2×D411yescharacteristic
552C2×D236C2×D411yescharacteristic
553C2×D236C2411yescharacteristic
554C2×D236C2411yescharacteristic
555C2×D236C2411yescharacteristic
556C2×D236C2411yescharacteristic
557C2×D236C2411yescharacteristic
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—82no—
572C2×C4×D59C2×D411yescharacteristic
573C2×C4×D59C2×D411yescharacteristic
574C2×C4×D59C2411yescharacteristic
575C2×C4×D59C2411yescharacteristic
576C2×C4×D59C2411yescharacteristic
577C2×Dic118—21no—
578C2×Dic118C2411yescharacteristic
579SD16×C59—22no—
580SD16×C59—22no—
581D8×C59—22no—
582C2×C8×C59C2411yescharacteristic
583C2×C8×C59C2411yescharacteristic
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C4⋊C4×C59—21no—
587C4⋊C4×C59—21no—
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59—21no—
593C4⋊C4×C59—21no—
594C4⋊C4×C59—21no—
595C4⋊C4×C59C2×D411yescharacteristic
596C4⋊C4×C59C2×D411yescharacteristic
597C4⋊C4×C59C2×D411yescharacteristic
598C4⋊C4×C59C2411yescharacteristic
599C4⋊C4×C59C2411yescharacteristic
600C4⋊C4×C59C2411yescharacteristic
601C4⋊C4×C59C2411yescharacteristic
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59—21no—
608C22⋊C4×C59—21no—
609C22⋊C4×C59—21no—
610C42×C59—21no—
611C42×C59—21no—
612C42×C59C2411yescharacteristic
613C42×C59C2411yescharacteristic
614C42×C59C2411yescharacteristic
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617#11745672—41no—
618#11745672—41no—
619#11745671—41no—
620#11745671—41no—
621#11745671—41no—
622#11745671—41no—
623#11745670—41no—
624#11745669—22no—
625#11745669—22no—
626#11745669—22no—
627#11745669—41no—
628#11745669—41no—
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)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659(C2×D59)⋊C4C2×D411yescharacteristic
660(C2×D59)⋊C4C2×D411yescharacteristic
661(C2×D59)⋊C4C2×D411yescharacteristic
662(C2×D59)⋊C4C2×D411yescharacteristic
663(C2×D59)⋊C4C2×D411yescharacteristic
664(C2×D59)⋊C4C2×D411yescharacteristic
665(C2×D59)⋊C4C2×D411yescharacteristic
666C4⋊Dic59—21no—
667C4⋊Dic59—21no—
668C4⋊Dic59C2×D411yescharacteristic
669C4⋊Dic59C2×D411yescharacteristic
670C4⋊Dic59C2×D411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672C4⋊Dic59C2411yescharacteristic
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C2×C59⋊C8C2411yescharacteristic
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694D472—41no—
695D472—41no—
696D472—41no—
697D472—41no—
698D472—41no—
699D472—41no—
700#11745660—41no—
701#11745660—41no—
702#11745660—41no—
703#11745659—41no—
704#11745659—41no—
705#11745659—41no—
706#11745659—41no—
707C8×D59—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—42no—
717C22×D59—42no—
718C22×D59—42no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59C22×D411yescharacteristic
729C22×D59C22×D411yescharacteristic
730C22×D59C22×D411yescharacteristic
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—21no—
734Q8×C59—21no—
735Q8×C59—41no—
736Q8×C59—81no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59H(5,𝔽2)12yes—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—42no—
748C2×C4×C59—81no—
749C2×C4×C59—81no—
750C2×C4×C59—81no—
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C2511yescharacteristic
758C22⋊D59—42no—
759C22⋊D59—42no—
760C22⋊D59—42no—
761C22⋊D59—81no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C22⋊D59—81no—
765C22⋊D59—81no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—42no—
770C2×Dic59—81no—
771C2×Dic59C22×D411yescharacteristic
772C2×Dic59C22×D411yescharacteristic
773C2×Dic59C22×D411yescharacteristic
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776D236—21no—
777D236—21no—
778D236—21no—
779D236—21no—
780D236—21no—
781D236—21no—
782D236—21no—
783D236—21no—
784D236—21no—
785D236—21no—
786D236—41no—
787D236—41no—
788D236—41no—
789D236—42no—
790D236—42no—
791D236—81no—
792D236—81no—
793D236—81no—
794D236—81no—
795D236—81no—
796D236—81no—
797D236—81no—
798D236—81no—
799D236—81no—
800D236—81no—
801D236—81no—
802D236—81no—
803D236—81no—
804D236—81no—
805D236—81no—
806D236—81no—
807D236—81no—
808C4×D59—21no—
809C4×D59—21no—
810C4×D59—21no—
811C4×D59—21no—
812C4×D59—21no—
813C4×D59—21no—
814C4×D59—41no—
815C4×D59—41no—
816C4×D59—42no—
817C4×D59—42no—
818C4×D59—81no—
819C4×D59—81no—
820C4×D59—81no—
821C4×D59—81no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825C4×D59—81no—
826C4×D59—81no—
827C4×D59—81no—
828C4×D59—81no—
829Dic118—21no—
830Dic118—21no—
831Dic118—81no—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62083—591nomaximal, Sylow
841C22×C59—22no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59C23×D411yescharacteristic
848C2×D59—21no—
849C2×D59—21no—
850C2×D59—21no—
851C2×D59—21no—
852C2×D59—21no—
853C2×D59—21no—
854C2×D59—21no—
855C2×D59—21no—
856C2×D59—21no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—84no—
873C2×D59—162no—
874C2×D59—162no—
875C2×D59—162no—
876C4×C59—21no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—21no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59—41no—
886C4×C59—41no—
887C4×C59—41no—
888C4×C59C2×H(5,𝔽2)11yescharacteristic
889C4×C59#58511yescharacteristic
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—21no—
894Dic59—21no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898#3546—591no—
899#3513—591no—
900#3401—591no—
901#3399—591no—
902#3376D5911yescharacteristic, complemented
903#3366—591no—
904#3332—591no—
905#3323—591no—
906#3318—591no—
907#3317—591no—
908#3307—591no—
909#3306—591no—
910#3274—591no—
911#3273—591no—
912#3268—591no—
913#3267—591no—
914#3264—591no—
915#3264—591no—
916#3263—591no—
917#3257—591no—
918#3251—591no—
919#3224—591no—
920#3220—591no—
921#3219—591no—
922#3125—591no—
923#3118—591no—
924#3109—591no—
925#3045—591no—
926#3041—591no—
927#3036—591no—
928#2995—591no—
929C2×C59—42no—
930C2×C59—81no—
931C2×C59#348811yescharacteristic
932C2×C59#358511yescharacteristic
933C2×C59#358511yescharacteristic
934D59—41no—
935D59—41no—
936D59—41no—
937D59—81no—
938D59—81no—
939D59—81no—
940D59—81no—
941D59—81no—
942C2×AGL(1,ℤ/8)—591no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×#135—591no—
947C22×D8—591no—
948#560—1181no—
949#560—1181no—
950#559—591no—
951#556C2×D5911yescharacteristic, complemented
952#554C2×D5911yescharacteristic, complemented
953#553—591no—
954#553—1181no—
955#553—1181no—
956#552—591no—
957#551—1181no—
958#551—1181no—
959#550—591no—
960#550—591no—
961#550—591no—
962#547—591no—
963#547—591no—
964#546—591no—
965#546—591no—
966#546—591no—
967#546—591no—
968#546—1181no—
969#546—1181no—
970D42—591no—
971D42—591no—
972#542—591no—
973#542—591no—
974#542—591no—
975#540—591no—
976#539—1181no—
977#538—1181no—
978#538—1181no—
979#538—1181no—
980#537—1181no—
981#535—591no—
982#535—591no—
983#535—1181no—
984#532—591no—
985#532—591no—
986#529—591no—
987#529—591no—
988#525—1181no—
989C2×#123—1181no—
990#520—591no—
991#518—591no—
992C2×C4×D4—591no—
993#497—591no—
994#496—591no—
995#496—591no—
996#496—591no—
997#495—591no—
998#493—591no—
999#491C2×D5911yescharacteristic, complemented
1000#490—591no—
1001#490—591no—
1002#489C2×D5911yescharacteristic, complemented
1003#488C2×D5911yescharacteristic, complemented
1004#486—591no—
1005#485—591no—
1006#483—591no—
1007#482—591no—
1008#481—591no—
1009#481—591no—
1010#481—591no—
1011#479C2×D5911yescharacteristic, complemented
1012#478—591no—
1013#478—591no—
1014#478C2×D5911yescharacteristic, complemented
1015#476—591no—
1016#476—591no—
1017#476—591no—
1018#475—591no—
1019#475C2×D5911yescharacteristic, complemented
1020#474—591no—
1021#470—591no—
1022#469—591no—
1023#469—591no—
1024#469—591no—
1025#469—591no—
1026#468—591no—
1027#468—591no—
1028#468—591no—
1029#466—591no—
1030#465—591no—
1031#465—591no—
1032#465—591no—
1033#464—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#463—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#463C2×D5911yescharacteristic
1048#463C2×D5911yescharacteristic
1049#461—591no—
1050#461C2×D5911yescharacteristic, complemented
1051#460—591no—
1052#460—591no—
1053#460—591no—
1054#459—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459—591no—
1062#459—591no—
1063#452—591no—
1064#452—591no—
1065#452—591no—
1066#452—591no—
1067#450—591no—
1068#450—591no—
1069#449—591no—
1070#449—591no—
1071#449—591no—
1072#449—591no—
1073#449—591no—
1074#449—591no—
1075#447—591no—
1076#447—591no—
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#447—591no—
1081#446—591no—
1082#446C2×D5911yescharacteristic, complemented
1083#442—591no—
1084#442—591no—
1085#442—591no—
1086#442—591no—
1087#442—591no—
1088#442C2×D5911yescharacteristic
1089#441—591no—
1090#440C2×D5911yescharacteristic, complemented
1091C4×SD16—591no—
1092C4×SD16—591no—
1093C4×SD16C2×D5911yescharacteristic, complemented
1094C4×D8—591no—
1095#436—591no—
1096#436—591no—
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101#433—591no—
1102#433—591no—
1103#432—591no—
1104#424—591no—
1105#424—591no—
1106#423—591no—
1107#418—591no—
1108#417—591no—
1109#417—591no—
1110#417—591no—
1111#416—591no—
1112C2×#102—591no—
1113C59#6208311yescharacteristic, complemented, Sylow
1114C2×#41—591no—
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—591no—
1118C2×#41—591no—
1119C2×#41—1181no—
1120C2×#41—1181no—
1121C2×#41—1181no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—591no—
1125C22×D4—591no—
1126C22×D4—1181no—
1127C22×D4—1181no—
1128C23×C4—1181no—
1129AGL(1,ℤ/8)—2362no—
1130AGL(1,ℤ/8)—2362no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133#135—2362no—
1134C2×Q16—591no—
1135C2×Q16—591no—
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16C22×D5911yescharacteristic
1145C2×SD16C22×D5911yescharacteristic
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8—591no—
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—591no—
1157C2×D8—2362no—
1158C2×D8C22×D5911yescharacteristic
1159C2×M16—591no—
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16—591no—
1163C22×C8—591no—
1164C22×C8—591no—
1165C4⋊Q8—591no—
1166C4⋊Q8C22×D5911yescharacteristic
1167C4⋊Q8C22×D5911yescharacteristic
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—591no—
1173#127—1181no—
1174#127—1181no—
1175#126—21no—
1176#126—21no—
1177#126—591no—
1178#126—591no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#125—591no—
1186#125—1181no—
1187#125C22×D5911yescharacteristic
1188#125C22×D5911yescharacteristic
1189#124—591no—
1190#124—591no—
1191#124—591no—
1192#124—591no—
1193#124—591no—
1194#124—1181no—
1195#124—1181no—
1196#124—1181no—
1197#124—1181no—
1198#124—1181no—
1199#124C22×D5911yescharacteristic
1200#124C22×D5911yescharacteristic
1201#123—591no—
1202#123—591no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221C22⋊Q8—21no—
1222C22⋊Q8—21no—
1223C22⋊Q8—21no—
1224C22⋊Q8—21no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—591no—
1229C22⋊Q8—591no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234#121—591no—
1235#121—591no—
1236#121—591no—
1237#121—591no—
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—591no—
1242#121—591no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#120—1181no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279C4×Q8—591no—
1280C4×Q8—591no—
1281C4×Q8C22×D5911yescharacteristic
1282C4×Q8C22×D5911yescharacteristic
1283C4×Q8C22×D5911yescharacteristic
1284C4×D4—591no—
1285C4×D4—591no—
1286C4×D4—591no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4C22×D5911yescharacteristic
1310C4×D4C22×D5911yescharacteristic
1311C4×D4C22×D5911yescharacteristic
1312C4×D4C22×D5911yescharacteristic
1313#117—21no—
1314#117—591no—
1315#117—591no—
1316#117—591no—
1317#117—1181no—
1318#117—1181no—
1319#117—1181no—
1320C2×C4⋊C4—21no—
1321C2×C4⋊C4—591no—
1322C2×C4⋊C4—591no—
1323C2×C4⋊C4—1181no—
1324C2×C4⋊C4—1181no—
1325C2×C22⋊C4—1181no—
1326C2×C22⋊C4—1181no—
1327C2×C22⋊C4—1181no—
1328C2×C22⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C22⋊C4—1181no—
1332C2×C42—591no—
1333#107—591no—
1334#107C22×D5911yescharacteristic
1335#106—591no—
1336#106—591no—
1337#106—591no—
1338#106—591no—
1339#106C22×D5911yescharacteristic
1340#106C22×D5911yescharacteristic
1341C4⋊C8—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8C22×D5911yescharacteristic
1349C4⋊C8C22×D5911yescharacteristic
1350C4⋊C8C22×D5911yescharacteristic
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103C22×D5911yescharacteristic
1356#103C22×D5911yescharacteristic
1357#103C22×D5911yescharacteristic
1358#103C22×D5911yescharacteristic
1359#103C22×D5911yescharacteristic
1360#103C22×D5911yescharacteristic
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382#102C22×D5911yescharacteristic
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8—591no—
1388C22⋊C8—591no—
1389#97—591no—
1390#97—591no—
1391#97C22×D5911yescharacteristic
1392#97C22×D5911yescharacteristic
1393C4×C8—591no—
1394C4×C8C22×D5911yescharacteristic
1395C24—1181no—
1396C24—1181no—
1397C24—1181no—
1398C24—1181no—
1399#41—1182no—
1400#41—4722no—
1401#41—4722no—
1402#41—4722no—
1403#41—2361no—
1404#41—2361no—
1405#41—2361no—
1406#41—2361no—
1407#41—2361no—
1408#41—2361no—
1409#41—2361no—
1410#41—2361no—
1411#41—2361no—
1412C2×Q8—21no—
1413C2×Q8—591no—
1414C2×Q8—1181no—
1415C2×Q8D4×D5911yescharacteristic
1416C2×Q8C23×D5911yescharacteristic
1417C2×Q8C23×D5911yescharacteristic
1418C2×D4—591no—
1419C2×D4—591no—
1420C2×D4—591no—
1421C2×D4—591no—
1422C2×D4—591no—
1423C2×D4—591no—
1424C2×D4—591no—
1425C2×D4—591no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1182no—
1444C2×D4—1182no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—4722no—
1456C2×D4—4722no—
1457C2×D4—2361no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4C23×D5911yescharacteristic
1464C2×D4C23×D5911yescharacteristic
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—21no—
1468C22×C4—21no—
1469C22×C4—591no—
1470C22×C4—591no—
1471C22×C4—591no—
1472C22×C4—591no—
1473C22×C4—591no—
1474C22×C4—1181no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4—1181no—
1489C22×C4—4722no—
1490Q16—2361no—
1491Q16—2361no—
1492SD16—22no—
1493SD16—22no—
1494SD16—2361no—
1495SD16—2361no—
1496SD16—2361no—
1497SD16—2361no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502D8—22no—
1503D8—1182no—
1504D8—1182no—
1505D8—1182no—
1506D8—2361no—
1507D8—2361no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513D8—2361no—
1514M16—2361no—
1515M16—2361no—
1516M16—2361no—
1517M16—2361no—
1518C2×C8—591no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—2361no—
1523C2×C8—2361no—
1524C2×C8C23×D5911yescharacteristic
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C2×C8C23×D5911yescharacteristic
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—21no—
1533C4⋊C4—21no—
1534C4⋊C4—21no—
1535C4⋊C4—21no—
1536C4⋊C4—21no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—591no—
1542C4⋊C4—591no—
1543C4⋊C4—591no—
1544C4⋊C4—591no—
1545C4⋊C4—591no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4D4×D5911yescharacteristic
1556C4⋊C4D4×D5911yescharacteristic
1557C4⋊C4D4×D5911yescharacteristic
1558C4⋊C4C23×D5911yescharacteristic
1559C4⋊C4C23×D5911yescharacteristic
1560C4⋊C4C23×D5911yescharacteristic
1561C4⋊C4C23×D5911yescharacteristic
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—591no—
1571C22⋊C4—591no—
1572C22⋊C4—591no—
1573C22⋊C4—591no—
1574C22⋊C4—591no—
1575C22⋊C4—591no—
1576C22⋊C4—591no—
1577C22⋊C4—591no—
1578C22⋊C4—591no—
1579C22⋊C4—591no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
1609C42—21no—
1610C42—21no—
1611C42—591no—
1612C42—591no—
1613C42—591no—
1614C42—1181no—
1615C42—1181no—
1616C42—1181no—
1617C42C23×D5911yescharacteristic
1618C42C23×D5911yescharacteristic
1619C42C23×D5911yescharacteristic
1620C23—21no—
1621C23—21no—
1622C23—591no—
1623C23—591no—
1624C23—591no—
1625C23—1181no—
1626C23—1181no—
1627C23—1181no—
1628C23—1181no—
1629C23—1181no—
1630C23—4721no—
1631C23—4721no—
1632C23—4721no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23—2362no—
1640C23—2362no—
1641C23—2362no—
1642Q8—21no—
1643Q8—21no—
1644Q8—21no—
1645Q8—21no—
1646Q8—41no—
1647Q8—81no—
1648Q8—1181no—
1649Q8—1181no—
1650Q8—4721no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—1181no—
1655D4—1181no—
1656D4—1181no—
1657D4—1181no—
1658D4—1181no—
1659D4—1181no—
1660D4—1181no—
1661D4—1181no—
1662D4—1181no—
1663D4—1181no—
1664D4—4721no—
1665D4—4721no—
1666D4—4721no—
1667D4—4721no—
1668D4—4721no—
1669D4—4721no—
1670D4—4721no—
1671D4—4721no—
1672D4—4721no—
1673D4—4721no—
1674D4—4721no—
1675D4—4721no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—2361no—
1687D4—2361no—
1688D4—2361no—
1689D4—2362no—
1690D4—2362no—
1691D4—2362no—
1692D4—2362no—
1693D4—2362no—
1694D4#1427377312yes—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—42no—
1702C2×C4—81no—
1703C2×C4—81no—
1704C2×C4—81no—
1705C2×C4—591no—
1706C2×C4—591no—
1707C2×C4—591no—
1708C2×C4—591no—
1709C2×C4—591no—
1710C2×C4—1181no—
1711C2×C4—1181no—
1712C2×C4—1181no—
1713C2×C4—1181no—
1714C2×C4—1181no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—4721no—
1720C2×C4—4721no—
1721C2×C4—4721no—
1722C2×C4—4721no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—2361no—
1732C2×C4—2361no—
1733C2×C4—2362no—
1734C2×C4—2362no—
1735C2×C4—2362no—
1736C2×C4C2×D4×D5911yescharacteristic
1737C2×C4C2×D4×D5911yescharacteristic
1738C2×C4C2×D4×D5911yescharacteristic
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C2×D4×D5911yescharacteristic
1742C2×C4C24×D5911yescharacteristic
1743C8—21no—
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—1181no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C22—22no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—1181no—
1758C22—1181no—
1759C22—1181no—
1760C22—1181no—
1761C22—1181no—
1762C22—1181no—
1763C22—1181no—
1764C22—1181no—
1765C22—1181no—
1766C22—9442no—
1767C22—9442no—
1768C22—9442no—
1769C22—4724no—
1770C22—2361no—
1771C22—2361no—
1772C22—2361no—
1773C22—2361no—
1774C22—2361no—
1775C22—2361no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22C22×D4×D5911yescharacteristic
1786C4—21no—
1787C4—21no—
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—1181no—
1799C4—1181no—
1800C4—1181no—
1801C4—1181no—
1802C4—1181no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4C2×#1427377311yescharacteristic
1807C4#1683823911yescharacteristic
1808C2—42no—
1809C2—81no—
1810C2—4721no—
1811C2—4721no—
1812C2—4721no—
1813C2—4721no—
1814C2—4721no—
1815C2—2361no—
1816C2—2361no—
1817C2—2361no—
1818C2#2143776211yescharacteristic
1819C2#2143887311yescharacteristic
1820C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3376C2
socleC22×C59C23×D4
hypercenter#3376D59
hypocenterC59#62083
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3376

Complements

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

NH ≅ G/Ntype
1. #21438471C2semidirect
2. #21438039C2semidirect
3. #21437162C2semidirect
4. #21437140C2semidirect
5. #21436803C2semidirect
6. #21436420C2semidirect
7. #21436311C2semidirect
8. #21436234C2semidirect
9. #21436219C2semidirect
10. #21436071C2semidirect
11. #21436056C2semidirect
12. #21435717C2semidirect
13. #21435702C2semidirect
14. #21435638C2semidirect
15. #21435627C2semidirect
16. #21435582C2semidirect
17. #21435578C2semidirect
18. #21435565C2semidirect
19. #21435513C2semidirect
20. #21435457C2semidirect
21. #21435191C2semidirect
22. #21435149C2semidirect
23. #21435136C2semidirect
24. #21434369C2semidirect
25. #21434284C2semidirect
26. #21434185C2semidirect
27. #21433636C2semidirect
28. #21433597C2semidirect
29. #21433561C2semidirect
30. #21433265C2semidirect
31. C59×#3376C2semidirect
32. C2×#14273754C22semidirect
33. C2×#14273754C22semidirect
34. C2×#14273754C22semidirect
36. C2×#14273748C22semidirect
40. #16838137C22semidirect
44. #16838090C22semidirect
48. #16838074C22semidirect
49. #16838074C22semidirect
50. #16838055C22semidirect
51. #16838055C22semidirect
53. #16838047C22semidirect
55. #16838045C22semidirect
58. D4×D236C22semidirect
59. D4×D236C22semidirect
60. #16838026C22semidirect
61. #16838024C22semidirect
62. #16838024C22semidirect
63. #16838008C22semidirect
70. #16837970C22semidirect
71. #16837970C22semidirect
72. #16837953C22semidirect
73. #16837949C22semidirect
75. #16837937C22semidirect
78. #16837881C22semidirect
79. #16837874C22semidirect
80. C4×D4×D59C22semidirect
81. #16837794C22semidirect
83. #16837791C22semidirect
84. #16837791C22semidirect
85. #16837784C22semidirect
86. #16837779C22semidirect
87. #16837768C22semidirect
88. #16837768C22semidirect
89. #16837750C22semidirect
90. #16837741C22semidirect
91. #16837731C22semidirect
92. #16837729C22semidirect
93. #16837722C22semidirect
94. #16837722C22semidirect
95. #16837719C22semidirect
96. #16837699C22semidirect
97. #16837699C22semidirect
98. #16837691C22semidirect
99. #16837690C22semidirect
100. #16837689C22semidirect
101. #16837686C22semidirect
102. #16837681C22semidirect
103. #16837659C22semidirect
105. #16837656C22semidirect
106. #16837656C22semidirect
108. #16837651C22semidirect
109. #16837649C22semidirect
110. #16837647C22semidirect
111. #16837639C22semidirect
112. #16837634C22semidirect
113. #16837634C22semidirect
114. #16837632C22semidirect
115. #16837627C22semidirect
116. #16837627C22semidirect
117. #16837624C22semidirect
118. #16837621C22semidirect
119. #16837620C22semidirect
120. #16837620C22semidirect
121. #16837620C22semidirect
122. #16837620C22semidirect
123. #16837619C22semidirect
124. #16837619C22semidirect
125. #16837618C22semidirect
126. #16837618C22semidirect
127. #16837617C22semidirect
128. #16837614C22semidirect
129. #16837604C22semidirect
130. #16837603C22semidirect
131. #16837602C22semidirect
132. #16837601C22semidirect
133. #16837598C22semidirect
134. #16837598C22semidirect
135. #16837598C22semidirect
137. #16837597C22semidirect
138. #16837597C22semidirect
139. #16837596C22semidirect
140. #16837596C22semidirect
142. #16837567C22semidirect
143. #16837567C22semidirect
144. #16837567C22semidirect
145. #16837561C22semidirect
146. #16837554C22semidirect
147. #16837551C22semidirect
148. #16837550C22semidirect
149. #16837550C22semidirect
150. #16837550C22semidirect
151. #16837550C22semidirect
152. #16837550C22semidirect
156. #16837537C22semidirect
157. #16837537C22semidirect
158. #16837537C22semidirect
160. #16837533C22semidirect
161. #16837515C22semidirect
162. #16837515C22semidirect
163. #16837512C22semidirect
164. #16837512C22semidirect
165. #16837512C22semidirect
166. #16837507C22semidirect
167. C4×#11745660C22semidirect
168. C4×#11745671C22semidirect
169. C4×#11745669C22semidirect
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. #16837405C22semidirect
183. #16837402C22semidirect
184. #16837402C22semidirect
185. #16837402C22semidirect
186. #16837397C22semidirect
187. #102×D59C22semidirect
188. C59×#556C22semidirect
189. C59×#554C22semidirect
190. C59×#491C22semidirect
191. C59×#489C22semidirect
192. C59×#488C22semidirect
193. C59×#479C22semidirect
194. C59×#478C22semidirect
195. C59×#475C22semidirect
198. C59×#461C22semidirect
199. C59×#446C22semidirect
201. C59×#440C22semidirect
202. C4×SD16×C59C22semidirect
902. #3376D59semidirect
951. #556C2×D59semidirect
952. #554C2×D59semidirect
999. #491C2×D59semidirect
1002. #489C2×D59semidirect
1003. #488C2×D59semidirect
1011. #479C2×D59semidirect
1014. #478C2×D59semidirect
1019. #475C2×D59semidirect
1050. #461C2×D59semidirect
1082. #446C2×D59semidirect
1090. #440C2×D59semidirect
1093. C4×SD16C2×D59semidirect
1113. C59#62083semidirect

Maximal subgroups

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

subgroupindex
#214384712
#214380392
#214371622
#214371402
#214368032
#214364202
#214363112
#214362342
#214362192
#214360712
#214360562
#214357172
#214357022
#214356382
#214356272
#214355822
#214355782
#214355652
#214355132
#214354572
#214351912
#214351492
#214351362
#214343692
#214342842
#214341852
#214336362
#214335972
#214335612
#214332652
C59×#33762
#6208359