Finite Group Databasebeta

← #29457057

Subgroups — #29457057

Order 15104.

2038 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437485C211yesmaximal, characteristic, complemented
2#21437295C211yesmaximal, characteristic, complemented
3#21434394C211yesmaximal, characteristic, complemented
4#21434385C211yesmaximal, characteristic, complemented
5#21434372C211yesmaximal, characteristic, complemented
6#21434370C211yesmaximal, characteristic, complemented
7#21434357C211yesmaximal, characteristic, complemented
8#21434355C211yesmaximal, characteristic, complemented
9#21434346C211yesmaximal, characteristic, complemented
10#21434337C211yesmaximal, characteristic, complemented
11#21434324C211yesmaximal, characteristic, complemented
12#21434322C211yesmaximal, characteristic, complemented
13#21434309C211yesmaximal, characteristic, complemented
14#21434307C211yesmaximal, characteristic, complemented
15#21434294C211yesmaximal, characteristic, complemented
16#21434292C211yesmaximal, characteristic, complemented
17#21434279C211yesmaximal, characteristic, complemented
18#21434277C211yesmaximal, characteristic, complemented
19#21434007C211yesmaximal, characteristic, complemented
20#21434007C211yesmaximal, characteristic, complemented
21#21433886C211yesmaximal, characteristic, complemented
22#21433884C211yesmaximal, characteristic, complemented
23#21433545C211yesmaximal, characteristic, complemented
24#21433310C211yesmaximal, characteristic, complemented
25#21433310C211yesmaximal, characteristic, complemented
26#21432897C211yesmaximal, characteristic, complemented
27#21432892C211yesmaximal, characteristic, complemented
28#135×Dic59C211yesmaximal, characteristic, complemented
29#21432864C211yesmaximal, characteristic, complemented
30C2×#16837462C211yesmaximal, characteristic, complemented
31C59×#3035C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic
33C2×#14273747C2211yescharacteristic
34C2×#14273747C2211yescharacteristic
35#16838021C2211yescharacteristic
36#16838021C2211yescharacteristic
37#16838021C2211yescharacteristic, complemented
38#16838021C2211yescharacteristic, complemented
39#16838013C2211yescharacteristic
40#16838013C2211yescharacteristic, complemented
41#16838006C2211yescharacteristic
42#16838006C2211yescharacteristic, complemented
43#16837997—21no—
44#16837997—21no—
45#16837989—21no—
46#16837989—21no—
47#16837959C2211yescharacteristic, complemented
48#16837932—21no—
49#16837932—21no—
50#16837932—21no—
51#16837932—21no—
52#16837909C2211yescharacteristic
53#16837909C2211yescharacteristic
54#16837884C2211yescharacteristic
55#16837884C2211yescharacteristic
56#16837881—21no—
57#16837881—21no—
58#16837881C2211yescharacteristic
59#16837881C2211yescharacteristic
60#16837878C2211yescharacteristic
61#16837878C2211yescharacteristic
62#16837874—21no—
63#16837874—21no—
64#16837874C2211yescharacteristic
65#16837874C2211yescharacteristic
66#41×Dic59C2211yescharacteristic
67#41×Dic59C2211yescharacteristic, complemented
68#41×Dic59C2211yescharacteristic, complemented
69C4×#11745685—21no—
70C4×#11745685C2211yescharacteristic
71#16837870—21no—
72#16837870C2211yescharacteristic
73C2×#14273684—21no—
74C2×#14273684C2211yescharacteristic
75#117×D59—21no—
76#117×D59C2211yescharacteristic
77#16837742C2211yescharacteristic
78#16837742C2211yescharacteristic
79#16837741C2211yescharacteristic
80#16837741C2211yescharacteristic
81#16837736C2211yescharacteristic, complemented
82#16837736C2211yescharacteristic, complemented
83#16837731C2211yescharacteristic, complemented
84#16837731C2211yescharacteristic, complemented
85#16837725C2211yescharacteristic
86#16837725C2211yescharacteristic
87#16837724C2211yescharacteristic
88#16837724C2211yescharacteristic
89#16837719C2211yescharacteristic, complemented
90#16837719C2211yescharacteristic, complemented
91#16837714C2211yescharacteristic, complemented
92#16837714C2211yescharacteristic, complemented
93#16837710C2211yescharacteristic, complemented
94#16837710C2211yescharacteristic, complemented
95#16837709C2211yescharacteristic, complemented
96#16837709C2211yescharacteristic, complemented
97#16837703C2211yescharacteristic, complemented
98#16837703C2211yescharacteristic, complemented
99#16837702C2211yescharacteristic, complemented
100#16837702C2211yescharacteristic, complemented
101#16837698C2211yescharacteristic, complemented
102#16837697C2211yescharacteristic, complemented
103#16837693C2211yescharacteristic, complemented
104#16837692C2211yescharacteristic, complemented
105#16837688C2211yescharacteristic, complemented
106#16837687C2211yescharacteristic, complemented
107#16837683C2211yescharacteristic, complemented
108#16837682C2211yescharacteristic, complemented
109#16837621C2211yescharacteristic, complemented
110#16837621C2211yescharacteristic, complemented
111#16837614C2211yescharacteristic, complemented
112#16837614C2211yescharacteristic, complemented
113#16837609C2211yescharacteristic, complemented
114#16837604C2211yescharacteristic, complemented
115#16837599C2211yescharacteristic, complemented
116#16837594C2211yescharacteristic, complemented
117#16837563C2211yescharacteristic
118#16837563C2211yescharacteristic
119#16837561C2211yescharacteristic
120#16837561C2211yescharacteristic
121#16837556C2211yescharacteristic
122#16837556C2211yescharacteristic
123#16837551C2211yescharacteristic
124#16837551C2211yescharacteristic
125#16837546C2211yescharacteristic
126#16837546C2211yescharacteristic
127#16837544C2211yescharacteristic
128#16837544C2211yescharacteristic
129#16837539C2211yescharacteristic
130#16837539C2211yescharacteristic
131#16837534C2211yescharacteristic
132#16837534C2211yescharacteristic
133#16837514C2211yescharacteristic, complemented
134#16837514C2211yescharacteristic, complemented
135#16837511C2211yescharacteristic, complemented
136#16837511C2211yescharacteristic, complemented
137#16837509C2211yescharacteristic, complemented
138#16837509C2211yescharacteristic, complemented
139#16837506C2211yescharacteristic, complemented
140#16837506C2211yescharacteristic, complemented
141#16837505C2211yescharacteristic, complemented
142#16837505C2211yescharacteristic, complemented
143#16837503C2211yescharacteristic, complemented
144#16837503C2211yescharacteristic, complemented
145#16837503C2211yescharacteristic, complemented
146#16837503C2211yescharacteristic, complemented
147#16837499C2211yescharacteristic, complemented
148#16837499C2211yescharacteristic, complemented
149Q16×Dic59C2211yescharacteristic, complemented
150Q16×Dic59C2211yescharacteristic, complemented
151#16837494C2211yescharacteristic, complemented
152#16837494C2211yescharacteristic, complemented
153#16837493C2211yescharacteristic, complemented
154#16837493C2211yescharacteristic, complemented
155SD16×Dic59C2211yescharacteristic, complemented
156SD16×Dic59C2211yescharacteristic, complemented
157SD16×Dic59C2211yescharacteristic, complemented
158SD16×Dic59C2211yescharacteristic, complemented
159#16837487C2211yescharacteristic, complemented
160#16837487C2211yescharacteristic, complemented
161D8×Dic59C2211yescharacteristic, complemented
162D8×Dic59C2211yescharacteristic, complemented
163#16837482C2211yescharacteristic, complemented
164#16837482C2211yescharacteristic, complemented
165#16837462C2211yescharacteristic
166#16837462C2211yescharacteristic
167#16837462C2211yescharacteristic
168#16837462C2211yescharacteristic
169#16837462C2211yescharacteristic, complemented
170#16837462C2211yescharacteristic, complemented
171#16837462C2211yescharacteristic, complemented
172#16837462C2211yescharacteristic, complemented
173#16837440C2211yescharacteristic, complemented
174#16837440C2211yescharacteristic, complemented
175#16837438C2211yescharacteristic, complemented
176#16837438C2211yescharacteristic, complemented
177C2×C4⋊(C59⋊C8)C2211yescharacteristic, complemented
178#16837399C2211yescharacteristic
179#16837399C2211yescharacteristic
180#16837398C2211yescharacteristic
181#16837398C2211yescharacteristic
182#16837398C2211yescharacteristic, complemented
183#16837398C2211yescharacteristic, complemented
184C2×(C2×D59)⋊C8C2211yescharacteristic
185C2×(C2×D59)⋊C8C2211yescharacteristic
186C2×#14273637C2211yescharacteristic, complemented
187C2×C8×Dic59C2211yescharacteristic, complemented
188C2×#135×C59C2211yescharacteristic
189C2×#135×C59C2211yescharacteristic
190C59×#532C2211yescharacteristic, complemented
191C4×#41×C59C2211yescharacteristic
192C59×#464C2211yescharacteristic, complemented
193C59×#464C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#462C2211yescharacteristic, complemented
197C59×#461C2211yescharacteristic, complemented
198C59×#460C2211yescharacteristic, complemented
199C59×#459C2211yescharacteristic, complemented
200C2×C4⋊C8×C59C2211yescharacteristic, complemented
201C59×#416C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C2×#11745687C2311yescharacteristic
208#41×D59—24no—
209#41×D59—24no—
210C2×Q8×D59C2311yescharacteristic
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213C22×C4×D59—21no—
214C22×C4×D59C2311yescharacteristic
215#14273747—24no—
216#14273747—24no—
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745669C2311yescharacteristic
224C2×#11745669C2311yescharacteristic
225C22×C59⋊C8C2311yescharacteristic
226C22×C59⋊C8C2311yescharacteristic
227#14273727C2311yescharacteristic
228#14273727C2311yescharacteristic
229#14273722—21no—
230#14273722—21no—
231#14273722—21no—
232#14273722—21no—
233#14273720—21no—
234#14273720—21no—
235#14273720—21no—
236#14273720—21no—
237#14273719C2311yescharacteristic
238#14273719C2311yescharacteristic
239#14273717—21no—
240#14273717—21no—
241#14273717—21no—
242#14273717—21no—
243#14273713—21no—
244#14273713—21no—
245#14273713—21no—
246#14273713—21no—
247#14273711—21no—
248#14273711—21no—
249#14273711—21no—
250#14273711—21no—
251#14273708—21no—
252#14273708—21no—
253#14273708—21no—
254#14273708—21no—
255#14273708—21no—
256#14273708—21no—
257#14273706—21no—
258#14273706—21no—
259#14273704—21no—
260#14273704—21no—
261#14273704—21no—
262#14273704—21no—
263#14273703C2311yescharacteristic
264#14273703C2311yescharacteristic
265#14273703C2311yescharacteristic
266#14273703C2311yescharacteristic
267#14273699—21no—
268#14273699—21no—
269#14273699—21no—
270#14273699—21no—
271#14273698C2311yescharacteristic
272#14273698C2311yescharacteristic
273#14273698C2311yescharacteristic
274#14273698C2311yescharacteristic
275#14273695—21no—
276#14273695—21no—
277Q8×Dic59C2311yescharacteristic
278Q8×Dic59C2311yescharacteristic
279Q8×Dic59C2311yescharacteristic
280Q8×Dic59C2311yescharacteristic
281Q8×Dic59C2311yescharacteristic
282Q8×Dic59C2311yescharacteristic
283C4×Dic118—21no—
284C4×Dic118—21no—
285C4×Dic118—21no—
286C4×Dic118—21no—
287C4×Dic118C2311yescharacteristic
288C4×Dic118C2311yescharacteristic
289#14273692—21no—
290#14273692—21no—
291#14273692C2311yescharacteristic
292#14273692C2311yescharacteristic
293C4×D236—21no—
294C4×D236—21no—
295C4×D236C2311yescharacteristic
296C4×D236C2311yescharacteristic
297D4×Dic59—21no—
298D4×Dic59—21no—
299D4×Dic59—21no—
300D4×Dic59—21no—
301D4×Dic59—21no—
302D4×Dic59—21no—
303D4×Dic59C2311yescharacteristic
304D4×Dic59C2311yescharacteristic
305D4×Dic59C2311yescharacteristic
306D4×Dic59C2311yescharacteristic
307D4×Dic59C2311yescharacteristic
308D4×Dic59C2311yescharacteristic
309#14273689—21no—
310#14273689—21no—
311#14273689C2311yescharacteristic
312#14273689C2311yescharacteristic
313C4×C22⋊D59—21no—
314C4×C22⋊D59—21no—
315C4×C22⋊D59—21no—
316C4×C22⋊D59—21no—
317C4×C22⋊D59—21no—
318C4×C22⋊D59—21no—
319C4×C22⋊D59—21no—
320C4×C22⋊D59—21no—
321C4×C22⋊D59—21no—
322C4×C22⋊D59—21no—
323(C22⋊D59)⋊C4—21no—
324(C22⋊D59)⋊C4—21no—
325(C22⋊D59)⋊C4—21no—
326(C22⋊D59)⋊C4—21no—
327(C22⋊D59)⋊C4—21no—
328(C22⋊D59)⋊C4—21no—
329#14273686—21no—
330#14273686—21no—
331#14273686—21no—
332#14273686C2311yescharacteristic
333#14273686C2311yescharacteristic
334#14273686C2311yescharacteristic
335#14273685—21no—
336#14273685—21no—
337#14273685C2311yescharacteristic
338#14273685C2311yescharacteristic
339#14273684—21no—
340#14273684—21no—
341#14273684—21no—
342#14273684—21no—
343#14273684—21no—
344#14273684—21no—
345#14273684—21no—
346#14273684D411yescharacteristic
347#14273684D411yescharacteristic
348#14273684D411yescharacteristic
349#14273684D411yescharacteristic
350#14273684C2311yescharacteristic
351#14273684C2311yescharacteristic
352#14273684C2311yescharacteristic
353#14273684C2311yescharacteristic
354#14273683—21no—
355#14273683—21no—
356#14273683—21no—
357C2×Dic59⋊C4—21no—
358C2×Dic59⋊C4—21no—
359C2×Dic59⋊C4D411yescharacteristic
360C2×Dic59⋊C4D411yescharacteristic
361C4⋊C4×D59—21no—
362C4⋊C4×D59—21no—
363C4⋊C4×D59C2311yescharacteristic
364C4⋊C4×D59C2311yescharacteristic
365C2×(C2×D59)⋊C4—21no—
366C2×(C2×D59)⋊C4—21no—
367C2×(C2×D59)⋊C4D411yescharacteristic
368C2×(C2×D59)⋊C4D411yescharacteristic
369C22⋊C4×D59—21no—
370C22⋊C4×D59—21no—
371C22⋊C4×D59—21no—
372C2×C4×Dic59—21no—
373C2×C4×Dic59—21no—
374C2×C4×Dic59—21no—
375C2×C4×Dic59C2311yescharacteristic
376C42×D59—21no—
377C42×D59—21no—
378C42×D59—21no—
379#14273661C2311yescharacteristic
380#14273661C2311yescharacteristic
381#14273661C2311yescharacteristic
382#14273661C2311yescharacteristic
383#14273660C2311yescharacteristic
384#14273660C2311yescharacteristic
385#14273660C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273659C2311yescharacteristic
388#14273659C2311yescharacteristic
389#14273659C2311yescharacteristic
390#14273659C2311yescharacteristic
391#14273658C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396C4⋊(C59⋊C8)C2311yescharacteristic
397C4⋊(C59⋊C8)C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399#14273652C2311yescharacteristic
400#14273652C2311yescharacteristic
401#14273652C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273651C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423(C2×D59)⋊C8C2311yescharacteristic
424(C2×D59)⋊C8C2311yescharacteristic
425(C2×D59)⋊C8C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C2×#41×C59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442#135×C59—24no—
443#135×C59—24no—
444C2×Q16×C59C2311yescharacteristic
445C2×Q16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C22×C8×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454C4⋊Q8×C59C2311yescharacteristic
455#127×C59C2311yescharacteristic
456#124×C59C2311yescharacteristic
457#124×C59C2311yescharacteristic
458#121×C59—21no—
459#121×C59—21no—
460C4×Q8×C59C2311yescharacteristic
461C4×Q8×C59C2311yescharacteristic
462C4×D4×C59—21no—
463C4×D4×C59—21no—
464C4×D4×C59—21no—
465C4×D4×C59—21no—
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59—21no—
469#117×C59C2311yescharacteristic
470C2×C42×C59—21no—
471C2×C42×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475C4⋊C8×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59C2×D411yescharacteristic
486#41×C59—22no—
487#41×C59—22no—
488#41×C59—22no—
489#41×C59—22no—
490#41×C59—22no—
491#41×C59#4114yes—
492C2×Q8×C59C2411yescharacteristic
493C2×Q8×C59C2411yescharacteristic
494C2×Q8×C59C2411yescharacteristic
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59C2411yescharacteristic
501C2×D4×C59C2411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59C2×D411yescharacteristic
509C22×C4×C59C2×D411yescharacteristic
510C22×C4×C59C2411yescharacteristic
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C22×Dic59—21no—
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59C2×D411yescharacteristic
526C22×Dic59C2×D411yescharacteristic
527C22×Dic59C2×D411yescharacteristic
528#11745689—22no—
529#11745689—22no—
530Q8×D59—22no—
531Q8×D59—22no—
532#11745687—28no—
533#11745687—22no—
534#11745687—22no—
535D4×D59—28no—
536D4×D59—22no—
537D4×D59—22no—
538#11745685—28no—
539#11745685—22no—
540#11745685#4114yes—
541C2×D236—21no—
542C2×D236C2411yescharacteristic
543C2×C4×D59—28no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—22no—
547C2×C4×D59—22no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59C2×D411yescharacteristic
556C2×C4×D59C2×D411yescharacteristic
557C2×C4×D59C2411yescharacteristic
558C2×C4×D59C2411yescharacteristic
559C2×Dic118—21no—
560C2×Dic118—21no—
561C2×Dic118—21no—
562C2×Dic118C2411yescharacteristic
563Q16×C59—22no—
564Q16×C59—22no—
565SD16×C59—22no—
566SD16×C59—22no—
567SD16×C59—22no—
568SD16×C59—22no—
569D8×C59—22no—
570D8×C59—22no—
571C2×C8×C59—22no—
572C2×C8×C59—22no—
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×C59C2411yescharacteristic
582C4⋊C4×C59C2411yescharacteristic
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C42×C59—21no—
591C42×C59—21no—
592C42×C59—21no—
593C42×C59C2×D411yescharacteristic
594C42×C59C2×D411yescharacteristic
595C42×C59C2411yescharacteristic
596C42×C59C2411yescharacteristic
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610#11745672—22no—
611#11745672—22no—
612#11745671—22no—
613#11745671—22no—
614#11745670—22no—
615#11745670—22no—
616#11745669—22no—
617#11745669—22no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4C2×D411yescharacteristic
629(C2×D59)⋊C4C2×D411yescharacteristic
630(C2×D59)⋊C4C2×D411yescharacteristic
631(C2×D59)⋊C4C2×D411yescharacteristic
632(C2×D59)⋊C4C2×D411yescharacteristic
633(C2×D59)⋊C4C2×D411yescharacteristic
634(C2×D59)⋊C4C2×D411yescharacteristic
635(C2×D59)⋊C4C2×D411yescharacteristic
636C4⋊Dic59—21no—
637C4⋊Dic59—21no—
638C4⋊Dic59—21no—
639C4⋊Dic59—21no—
640C4⋊Dic59—21no—
641C4⋊Dic59—21no—
642C4⋊Dic59—21no—
643C4⋊Dic59—21no—
644C4⋊Dic59C2411yescharacteristic
645C4⋊Dic59C2411yescharacteristic
646C4⋊Dic59C2411yescharacteristic
647C4⋊Dic59C2411yescharacteristic
648C4⋊Dic59C2411yescharacteristic
649C4⋊Dic59C2411yescharacteristic
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4C2×D411yescharacteristic
665Dic59⋊C4C2×D411yescharacteristic
666Dic59⋊C4C2×D411yescharacteristic
667Dic59⋊C4C2×D411yescharacteristic
668Dic59⋊C4C2×D411yescharacteristic
669Dic59⋊C4C2×D411yescharacteristic
670Dic59⋊C4C2×D411yescharacteristic
671Dic59⋊C4C2×D411yescharacteristic
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59—21no—
676C4×Dic59—21no—
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C4×Dic59C2411yescharacteristic
691C2×C59⋊C8—22no—
692C2×C59⋊C8—22no—
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C23×C59—21no—
698C23×C59—21no—
699C23×C59—21no—
700C23×C59C22×D411yescharacteristic
701C22×D59—21no—
702C22×D59—24no—
703C22×D59—22no—
704C22×D59—41no—
705C22×D59—41no—
706C22×D59—81no—
707C22×D59—81no—
708C22×D59C22×D411yescharacteristic
709C22×D59C22×D411yescharacteristic
710Q8×C59—21no—
711Q8×C59—21no—
712Q8×C59—21no—
713Q8×C59—21no—
714Q8×C59—21no—
715Q8×C59C2×#4112yes—
716D4×C59—24no—
717D4×C59—21no—
718D4×C59—21no—
719D4×C59—21no—
720D4×C59—21no—
721D4×C59—21no—
722D4×C59—42no—
723D4×C59—42no—
724D4×C59—81no—
725D4×C59—81no—
726D4×C59C2×#4112yes—
727C2×C4×C59—21no—
728C2×C4×C59—24no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—41no—
734C2×C4×C59—41no—
735C2×C4×C59—42no—
736C2×C4×C59—42no—
737C2×C4×C59—81no—
738C2×C4×C59—81no—
739C2×C4×C59C22×D411yescharacteristic
740C2×C4×C59C22×D411yescharacteristic
741C2×C4×C59C22×D411yescharacteristic
742C2×C4×C59C22×D411yescharacteristic
743C2×C4×C59C22×D411yescharacteristic
744C2×C4×C59C2×#4112yes—
745C2×C4×C59C2×#4112yes—
746C2×C4×C59C2511yescharacteristic
747C22⋊D59—24no—
748C22⋊D59—24no—
749C22⋊D59—24no—
750C22⋊D59—81no—
751C22⋊D59—81no—
752C22⋊D59—81no—
753C22⋊D59—81no—
754C2×Dic59—24no—
755C2×Dic59—22no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—41no—
764C2×Dic59—41no—
765C2×Dic59—81no—
766C2×Dic59—81no—
767C2×Dic59—81no—
768C2×Dic59—81no—
769C2×Dic59—81no—
770C2×Dic59—81no—
771C2×Dic59C22×D411yescharacteristic
772C2×Dic59C22×D411yescharacteristic
773C2×Dic59C22×D411yescharacteristic
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777D236—24no—
778D236—21no—
779D236C2×#4112yes—
780C4×D59—24no—
781C4×D59—24no—
782C4×D59—22no—
783C4×D59—24no—
784C4×D59—22no—
785C4×D59—21no—
786C4×D59—21no—
787C4×D59—21no—
788C4×D59—21no—
789C4×D59—81no—
790C4×D59—81no—
791C4×D59—81no—
792C4×D59—81no—
793C4×D59—81no—
794C4×D59—81no—
795Dic118—24no—
796Dic118—21no—
797Dic118—81no—
798Dic118—81no—
799Dic118C2×#4112yes—
800C8×C59—21no—
801C8×C59—21no—
802C8×C59—21no—
803C8×C59—21no—
804C59⋊C8—21no—
805C59⋊C8—21no—
806C59⋊C8—21no—
807C59⋊C8—21no—
808#60557—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—22no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59#52512yes—
821C22×C59C23×D411yescharacteristic
822C2×D59—21no—
823C2×D59—21no—
824C2×D59—21no—
825C2×D59—21no—
826C2×D59—21no—
827C2×D59—21no—
828C2×D59—22no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—82no—
832C2×D59—84no—
833C4×C59—21no—
834C4×C59—21no—
835C4×C59—21no—
836C4×C59—21no—
837C4×C59—22no—
838C4×C59—41no—
839C4×C59—41no—
840C4×C59—41no—
841C4×C59—41no—
842C4×C59#52512yes—
843C4×C59C22×#4111yescharacteristic
844C4×C59C22×#4111yescharacteristic
845Dic59—21no—
846Dic59—21no—
847Dic59—21no—
848Dic59—21no—
849Dic59—21no—
850Dic59—22no—
851Dic59—21no—
852Dic59—41no—
853Dic59—41no—
854Dic59—41no—
855Dic59—41no—
856Dic59—41no—
857Dic59—41no—
858#3455—591no—
859#3428—591no—
860#3127—591no—
861#3126—591no—
862#3125—591no—
863#3125—591no—
864#3124—591no—
865#3124—591no—
866#3123—591no—
867#3122—591no—
868#3121—591no—
869#3121—591no—
870#3120—591no—
871#3120—591no—
872#3119—591no—
873#3119—591no—
874#3118—591no—
875#3118—591no—
876#3091—591no—
877#3091—591no—
878#3076—591no—
879#3076—591no—
880#3035—591no—
881#3035D5911yescharacteristic, complemented
882#3002—591no—
883#3002—591no—
884#2943—591no—
885#2943—591no—
886C4×#135—591no—
887C4×#135—591no—
888C2×#433—591no—
889C2×C59—22no—
890C2×C59—42no—
891C2×C59—81no—
892C2×C59—81no—
893C2×C59C2×#52511yescharacteristic
894C2×C59#358411yescharacteristic
895C2×C59#358411yescharacteristic
896D59—41no—
897D59—41no—
898D59—42no—
899C22×#41—591no—
900C2×#135—591no—
901C2×#135—591no—
902C2×#135C2×D5911yescharacteristic
903C2×#135C2×D5911yescharacteristic
904#542—591no—
905#542—591no—
906#542—591no—
907#542—591no—
908#541—591no—
909#541—591no—
910#540—591no—
911#540—591no—
912#539—1181no—
913#539—1181no—
914#538—1181no—
915#538—1181no—
916#533—591no—
917#532C2×D5911yescharacteristic, complemented
918#529—1181no—
919#529—1181no—
920#529—1181no—
921#529—1181no—
922#525—591no—
923#525—591no—
924#520—591no—
925#520—591no—
926#520—591no—
927#520—591no—
928#520—1181no—
929#520—1181no—
930#519—591no—
931#519—591no—
932#518—591no—
933#518—591no—
934#518—1181no—
935#518—1181no—
936C4×#41—591no—
937C4×#41—591no—
938C4×#41—591no—
939C4×#41—591no—
940C4×#41—591no—
941C4×#41—1181no—
942C4×#41—1181no—
943C4×#41C2×D5911yescharacteristic
944C2×#117—591no—
945C2×#117—591no—
946C2×#117—1181no—
947C2×#117—1181no—
948#485—591no—
949#485—591no—
950#485—591no—
951#485—591no—
952#484—591no—
953#484—591no—
954#483—591no—
955#483—591no—
956#482—591no—
957#482—591no—
958#482—591no—
959#482—591no—
960#481—591no—
961#481—591no—
962#480—591no—
963#480—591no—
964#479—591no—
965#479—591no—
966#479—591no—
967#479—591no—
968#478—591no—
969#478—591no—
970#478—591no—
971#478—591no—
972#477—591no—
973#477—591no—
974#476—591no—
975#476—591no—
976#475—591no—
977#475—591no—
978#474—591no—
979#474—591no—
980#464—591no—
981#464—591no—
982#464C2×D5911yescharacteristic, complemented
983#464C2×D5911yescharacteristic, complemented
984#463—591no—
985#463—591no—
986#463C2×D5911yescharacteristic, complemented
987#463C2×D5911yescharacteristic, complemented
988#462—591no—
989#462C2×D5911yescharacteristic, complemented
990#461—591no—
991#461C2×D5911yescharacteristic, complemented
992#460—591no—
993#460C2×D5911yescharacteristic, complemented
994#459—591no—
995#459C2×D5911yescharacteristic, complemented
996#452—591no—
997#452—591no—
998#452—591no—
999#452—591no—
1000#451—591no—
1001#451—591no—
1002#450—591no—
1003#450—591no—
1004#449—591no—
1005#449—591no—
1006#449—591no—
1007#449—591no—
1008#448—591no—
1009#448—591no—
1010#447—591no—
1011#447—591no—
1012#442—591no—
1013#442—591no—
1014#442—591no—
1015#442—591no—
1016#441—591no—
1017#441—591no—
1018#441—591no—
1019#441—591no—
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440—591no—
1024#440—591no—
1025#440—591no—
1026#440—591no—
1027#440—591no—
1028C4×Q16—591no—
1029C4×Q16—591no—
1030C4×Q16—591no—
1031C4×Q16—591no—
1032C4×SD16—591no—
1033C4×SD16—591no—
1034C4×SD16—591no—
1035C4×SD16—591no—
1036C4×SD16—591no—
1037C4×SD16—591no—
1038C4×SD16—591no—
1039C4×SD16—591no—
1040C4×D8—591no—
1041C4×D8—591no—
1042C4×D8—591no—
1043C4×D8—591no—
1044#433—591no—
1045#433—591no—
1046#433—591no—
1047#433—591no—
1048#433—591no—
1049#433—591no—
1050#433—591no—
1051#433—591no—
1052#427—591no—
1053#427—591no—
1054#427—591no—
1055#427—591no—
1056C2×C4⋊C8—591no—
1057C2×C4⋊C8C2×D5911yescharacteristic, complemented
1058#416—591no—
1059#416—591no—
1060#416—591no—
1061#416—591no—
1062#416—591no—
1063#416—591no—
1064#416C2×D5911yescharacteristic, complemented
1065#416C2×D5911yescharacteristic, complemented
1066C2×C22⋊C8—591no—
1067C2×C22⋊C8—591no—
1068C2×#97—591no—
1069C2×C4×C8—591no—
1070C59#6055711yescharacteristic, complemented, Sylow
1071C2×#41—591no—
1072C2×#41—591no—
1073C2×#41—591no—
1074C2×#41—1181no—
1075C2×#41—1181no—
1076C2×#41—1184no—
1077C2×#41—1184no—
1078C2×#41C22×D5911yescharacteristic
1079C2×#41C22×D5911yescharacteristic
1080C2×#41C22×D5911yescharacteristic
1081C22×Q8—591no—
1082C22×D4—591no—
1083C22×D4—1181no—
1084C23×C4—591no—
1085C23×C4—1181no—
1086#135—24no—
1087#135—24no—
1088#135—1184no—
1089#135—1184no—
1090C2×Q16—591no—
1091C2×Q16—591no—
1092C2×Q16C22×D5911yescharacteristic
1093C2×Q16C22×D5911yescharacteristic
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16—591no—
1097C2×SD16—591no—
1098C2×SD16C22×D5911yescharacteristic
1099C2×SD16C22×D5911yescharacteristic
1100C2×SD16C22×D5911yescharacteristic
1101C2×SD16C22×D5911yescharacteristic
1102C2×D8—591no—
1103C2×D8—591no—
1104C2×D8C22×D5911yescharacteristic
1105C2×D8C22×D5911yescharacteristic
1106C22×C8—591no—
1107C22×C8—591no—
1108C22×C8C22×D5911yescharacteristic
1109C22×C8C22×D5911yescharacteristic
1110C4⋊Q8—591no—
1111C4⋊Q8—591no—
1112C4⋊Q8C22×D5911yescharacteristic
1113#127C22×D5911yescharacteristic
1114#126—1181no—
1115#126—1181no—
1116#126—1181no—
1117#126—1181no—
1118#126—1181no—
1119#126—1181no—
1120#126—1181no—
1121#126—1181no—
1122#125—591no—
1123#125—591no—
1124#125—1181no—
1125#125—1181no—
1126#125—1181no—
1127#125—1181no—
1128#124—1181no—
1129#124—1181no—
1130#124—1181no—
1131#124—1181no—
1132#124C22×D5911yescharacteristic
1133#124C22×D5911yescharacteristic
1134#123—1181no—
1135#123—1181no—
1136#123—1181no—
1137#123—1181no—
1138#123—1181no—
1139#123—1181no—
1140#123—1181no—
1141#123—1181no—
1142#123—1181no—
1143#123—1181no—
1144C22⋊Q8—591no—
1145C22⋊Q8—591no—
1146C22⋊Q8—591no—
1147C22⋊Q8—591no—
1148C22⋊Q8—1181no—
1149C22⋊Q8—1181no—
1150C22⋊Q8—1181no—
1151C22⋊Q8—1181no—
1152C22⋊Q8—1181no—
1153C22⋊Q8—1181no—
1154#121—21no—
1155#121—21no—
1156#121—591no—
1157#121—591no—
1158#121—591no—
1159#121—591no—
1160#121—1181no—
1161#121—1181no—
1162#121—1181no—
1163#121—1181no—
1164#120—1181no—
1165#120—1181no—
1166C4×Q8—591no—
1167C4×Q8—591no—
1168C4×Q8—591no—
1169C4×Q8—591no—
1170C4×Q8—591no—
1171C4×Q8—591no—
1172C4×Q8—591no—
1173C4×Q8—591no—
1174C4×Q8—591no—
1175C4×Q8—591no—
1176C4×Q8—1181no—
1177C4×Q8—1181no—
1178C4×Q8—1181no—
1179C4×Q8—1181no—
1180C4×Q8—1181no—
1181C4×Q8—1181no—
1182C4×Q8C22×D5911yescharacteristic
1183C4×Q8C22×D5911yescharacteristic
1184C4×D4—21no—
1185C4×D4—21no—
1186C4×D4—21no—
1187C4×D4—21no—
1188C4×D4—591no—
1189C4×D4—591no—
1190C4×D4—591no—
1191C4×D4—591no—
1192C4×D4—591no—
1193C4×D4—591no—
1194C4×D4—591no—
1195C4×D4—591no—
1196C4×D4—591no—
1197C4×D4—591no—
1198C4×D4—1181no—
1199C4×D4—1181no—
1200C4×D4—1181no—
1201C4×D4—1181no—
1202C4×D4—1181no—
1203C4×D4—1181no—
1204C4×D4—1181no—
1205C4×D4—1181no—
1206C4×D4—1181no—
1207C4×D4—1181no—
1208C4×D4—1181no—
1209C4×D4—1181no—
1210C4×D4—1181no—
1211C4×D4—1181no—
1212C4×D4—1181no—
1213C4×D4—1181no—
1214C4×D4—1181no—
1215C4×D4—1181no—
1216C4×D4—1181no—
1217C4×D4—1181no—
1218C4×D4—1181no—
1219C4×D4—1181no—
1220C4×D4—1181no—
1221C4×D4—1181no—
1222C4×D4—1181no—
1223C4×D4—1181no—
1224C4×D4C22×D5911yescharacteristic
1225C4×D4C22×D5911yescharacteristic
1226#117—21no—
1227#117—591no—
1228#117—591no—
1229#117—591no—
1230#117—591no—
1231#117—591no—
1232#117—591no—
1233#117—591no—
1234#117—591no—
1235#117—591no—
1236#117—591no—
1237#117—591no—
1238#117—591no—
1239#117—591no—
1240#117—1181no—
1241#117—1181no—
1242#117—1181no—
1243#117—1181no—
1244#117—1181no—
1245#117—1181no—
1246#117—1181no—
1247#117—1181no—
1248#117—1181no—
1249#117—1181no—
1250#117—1181no—
1251#117—1181no—
1252#117—1181no—
1253#117—1181no—
1254#117—1181no—
1255#117C22×D5911yescharacteristic
1256C2×C4⋊C4—591no—
1257C2×C4⋊C4—591no—
1258C2×C4⋊C4—591no—
1259C2×C4⋊C4—591no—
1260C2×C4⋊C4—1181no—
1261C2×C4⋊C4—1181no—
1262C2×C4⋊C4—1181no—
1263C2×C4⋊C4—1181no—
1264C2×C22⋊C4—591no—
1265C2×C22⋊C4—591no—
1266C2×C22⋊C4—1181no—
1267C2×C22⋊C4—1181no—
1268C2×C22⋊C4—1181no—
1269C2×C22⋊C4—1181no—
1270C2×C22⋊C4—1181no—
1271C2×C42—21no—
1272C2×C42—591no—
1273C2×C42—1181no—
1274C2×C42—1181no—
1275C2×C42—1181no—
1276C2×C42—1181no—
1277C2×C42—1181no—
1278C2×C42—1181no—
1279C2×C42C22×D5911yescharacteristic
1280#107—591no—
1281#107—591no—
1282#107—591no—
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107—591no—
1288#106—591no—
1289#106—591no—
1290#106—591no—
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106—591no—
1295#106—591no—
1296C4⋊C8—591no—
1297C4⋊C8—591no—
1298C4⋊C8—591no—
1299C4⋊C8—591no—
1300C4⋊C8C22×D5911yescharacteristic
1301C4⋊C8C22×D5911yescharacteristic
1302C4⋊C8C22×D5911yescharacteristic
1303C4⋊C8C22×D5911yescharacteristic
1304#103—591no—
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103—591no—
1312#103—591no—
1313#103—591no—
1314#103—591no—
1315#103—591no—
1316#103C22×D5911yescharacteristic
1317#103C22×D5911yescharacteristic
1318#103C22×D5911yescharacteristic
1319#103C22×D5911yescharacteristic
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102—591no—
1326#102—591no—
1327#102—591no—
1328#102—591no—
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102C22×D5911yescharacteristic
1333#102C22×D5911yescharacteristic
1334#102C22×D5911yescharacteristic
1335#102C22×D5911yescharacteristic
1336C22⋊C8—591no—
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340C22⋊C8—591no—
1341C22⋊C8—591no—
1342C22⋊C8—591no—
1343C22⋊C8—591no—
1344#97—591no—
1345#97—591no—
1346#97—591no—
1347#97—591no—
1348C4×C8—591no—
1349C4×C8—591no—
1350C4×C8—591no—
1351C4×C8—591no—
1352C24—591no—
1353C24—1181no—
1354#41—22no—
1355#41—22no—
1356#41—22no—
1357#41—22no—
1358#41—22no—
1359#41—594no—
1360#41—1188no—
1361#41—1182no—
1362#41—1188no—
1363#41—1182no—
1364#41—1182no—
1365#41—1182no—
1366#41—1182no—
1367#41#1174568714yes—
1368C2×Q8—591no—
1369C2×Q8—1181no—
1370C2×Q8—1182no—
1371C2×Q8—1182no—
1372C2×Q8—1181no—
1373C2×Q8—1181no—
1374C2×Q8C23×D5911yescharacteristic
1375C2×Q8C23×D5911yescharacteristic
1376C2×Q8C23×D5911yescharacteristic
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—591no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—1182no—
1386C2×D4—1188no—
1387C2×D4—1181no—
1388C2×D4—1181no—
1389C2×D4—1182no—
1390C2×D4—1181no—
1391C2×D4—1181no—
1392C2×D4—1181no—
1393C2×D4—1181no—
1394C2×D4C23×D5911yescharacteristic
1395C2×D4C23×D5911yescharacteristic
1396C2×D4C23×D5911yescharacteristic
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—591no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—591no—
1409C22×C4—1181no—
1410C22×C4—1181no—
1411C22×C4—1181no—
1412C22×C4—1181no—
1413C22×C4—1188no—
1414C22×C4—1181no—
1415C22×C4—1181no—
1416C22×C4—1181no—
1417C22×C4—1181no—
1418C22×C4—1181no—
1419C22×C4—1181no—
1420C22×C4—1181no—
1421C22×C4—1181no—
1422C22×C4—1181no—
1423C22×C4—1181no—
1424C22×C4—1182no—
1425C22×C4—1182no—
1426C22×C4—1181no—
1427C22×C4—1181no—
1428C22×C4D4×D5911yescharacteristic
1429C22×C4D4×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431Q16—22no—
1432Q16—22no—
1433Q16—1182no—
1434Q16—1182no—
1435SD16—22no—
1436SD16—22no—
1437SD16—22no—
1438SD16—22no—
1439SD16—1182no—
1440SD16—1182no—
1441SD16—1182no—
1442SD16—1182no—
1443D8—22no—
1444D8—22no—
1445D8—1182no—
1446D8—1182no—
1447C2×C8—22no—
1448C2×C8—22no—
1449C2×C8—591no—
1450C2×C8—591no—
1451C2×C8—591no—
1452C2×C8—591no—
1453C2×C8—1182no—
1454C2×C8—1182no—
1455C2×C8C23×D5911yescharacteristic
1456C2×C8C23×D5911yescharacteristic
1457C2×C8C23×D5911yescharacteristic
1458C2×C8C23×D5911yescharacteristic
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—591no—
1464C4⋊C4—591no—
1465C4⋊C4—591no—
1466C4⋊C4—591no—
1467C4⋊C4—591no—
1468C4⋊C4—591no—
1469C4⋊C4—591no—
1470C4⋊C4—591no—
1471C4⋊C4—591no—
1472C4⋊C4—591no—
1473C4⋊C4—591no—
1474C4⋊C4—591no—
1475C4⋊C4—591no—
1476C4⋊C4—591no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4—1181no—
1496C4⋊C4—1181no—
1497C4⋊C4—1181no—
1498C4⋊C4—1181no—
1499C4⋊C4C23×D5911yescharacteristic
1500C4⋊C4C23×D5911yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—591no—
1509C22⋊C4—591no—
1510C22⋊C4—591no—
1511C22⋊C4—591no—
1512C22⋊C4—591no—
1513C22⋊C4—591no—
1514C22⋊C4—591no—
1515C22⋊C4—591no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4—1181no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C42—21no—
1540C42—21no—
1541C42—21no—
1542C42—591no—
1543C42—591no—
1544C42—591no—
1545C42—591no—
1546C42—1181no—
1547C42—1181no—
1548C42—1181no—
1549C42—1181no—
1550C42—1181no—
1551C42—1181no—
1552C42—1181no—
1553C42—1181no—
1554C42—1181no—
1555C42—1181no—
1556C42—1181no—
1557C42—1181no—
1558C42—1181no—
1559C42—1181no—
1560C42—1181no—
1561C42D4×D5911yescharacteristic
1562C42D4×D5911yescharacteristic
1563C42C23×D5911yescharacteristic
1564C42C23×D5911yescharacteristic
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—591no—
1569C23—591no—
1570C23—1184no—
1571C23—1182no—
1572C23—1181no—
1573C23—4721no—
1574C23—4721no—
1575C23—2361no—
1576C23—2361no—
1577C23C2×D4×D5911yescharacteristic
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—21no—
1583Q8—592no—
1584Q8—1184no—
1585Q8—1181no—
1586Q8—4721no—
1587Q8—4721no—
1588Q8C2×#1174568712yes—
1589D4—24no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—42no—
1596D4—42no—
1597D4—81no—
1598D4—81no—
1599D4—592no—
1600D4—1184no—
1601D4—1184no—
1602D4—1184no—
1603D4—1184no—
1604D4—1181no—
1605D4—4721no—
1606D4—4721no—
1607D4—4721no—
1608D4—4721no—
1609D4C2×#1174568712yes—
1610C2×C4—21no—
1611C2×C4—24no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—42no—
1619C2×C4—42no—
1620C2×C4—81no—
1621C2×C4—81no—
1622C2×C4—591no—
1623C2×C4—591no—
1624C2×C4—591no—
1625C2×C4—591no—
1626C2×C4—591no—
1627C2×C4—591no—
1628C2×C4—1184no—
1629C2×C4—1184no—
1630C2×C4—1184no—
1631C2×C4—1182no—
1632C2×C4—1181no—
1633C2×C4—1182no—
1634C2×C4—1182no—
1635C2×C4—1184no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—4721no—
1647C2×C4—4721no—
1648C2×C4—4721no—
1649C2×C4—4721no—
1650C2×C4—4721no—
1651C2×C4—4721no—
1652C2×C4—4721no—
1653C2×C4—4721no—
1654C2×C4—4721no—
1655C2×C4—4721no—
1656C2×C4—4721no—
1657C2×C4—4721no—
1658C2×C4—2361no—
1659C2×C4—2361no—
1660C2×C4C2×D4×D5911yescharacteristic
1661C2×C4C2×D4×D5911yescharacteristic
1662C2×C4C2×D4×D5911yescharacteristic
1663C2×C4C2×D4×D5911yescharacteristic
1664C2×C4C2×D4×D5911yescharacteristic
1665C2×C4#41×D5912yes—
1666C2×C4C2×#1174568712yes—
1667C2×C4C24×D5911yescharacteristic
1668C8—21no—
1669C8—21no—
1670C8—21no—
1671C8—21no—
1672C8—1181no—
1673C8—1181no—
1674C8—1181no—
1675C8—1181no—
1676C22—21no—
1677C22—21no—
1678C22—22no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—1181no—
1688C22—1181no—
1689C22—1181no—
1690C22—1181no—
1691C22—1181no—
1692C22—1182no—
1693C22—1181no—
1694C22—4722no—
1695C22—4724no—
1696C22—2361no—
1697C22—2361no—
1698C22#1683791212yes—
1699C22C22×D4×D5911yescharacteristic
1700C4—21no—
1701C4—21no—
1702C4—21no—
1703C4—21no—
1704C4—22no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—1181no—
1710C4—1181no—
1711C4—1181no—
1712C4—1181no—
1713C4—1181no—
1714C4—1181no—
1715C4—1182no—
1716C4—2361no—
1717C4—2361no—
1718C4—2361no—
1719C4—2361no—
1720C4—2361no—
1721C4—2361no—
1722C4#1683791212yes—
1723C4C2×#41×D5911yescharacteristic
1724C4C22×#1174568711yescharacteristic
1725C2—22no—
1726C2—42no—
1727C2—81no—
1728C2—81no—
1729C2—2361no—
1730C2—2361no—
1731C2—2362no—
1732C2C2×#1683791211yescharacteristic
1733C2#2143886511yescharacteristic
1734C2#2143886911yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3035C2
socleC22×C59C23×D4
hypercenter#3035D59
hypocenterC59#60557
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3035

Complements

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

NH ≅ G/Ntype
1. #21437485C2semidirect
2. #21437295C2semidirect
3. #21434394C2semidirect
4. #21434385C2semidirect
5. #21434372C2semidirect
6. #21434370C2semidirect
7. #21434357C2semidirect
8. #21434355C2semidirect
9. #21434346C2semidirect
10. #21434337C2semidirect
11. #21434324C2semidirect
12. #21434322C2semidirect
13. #21434309C2semidirect
14. #21434307C2semidirect
15. #21434294C2semidirect
16. #21434292C2semidirect
17. #21434279C2semidirect
18. #21434277C2semidirect
19. #21434007C2semidirect
20. #21434007C2semidirect
21. #21433886C2semidirect
22. #21433884C2semidirect
23. #21433545C2semidirect
24. #21433310C2semidirect
25. #21433310C2semidirect
26. #21432897C2semidirect
27. #21432892C2semidirect
28. #135×Dic59C2semidirect
29. #21432864C2semidirect
30. C2×#16837462C2semidirect
31. C59×#3035C2semidirect
37. #16838021C22semidirect
38. #16838021C22semidirect
40. #16838013C22semidirect
42. #16838006C22semidirect
47. #16837959C22semidirect
67. #41×Dic59C22semidirect
68. #41×Dic59C22semidirect
81. #16837736C22semidirect
82. #16837736C22semidirect
83. #16837731C22semidirect
84. #16837731C22semidirect
89. #16837719C22semidirect
90. #16837719C22semidirect
91. #16837714C22semidirect
92. #16837714C22semidirect
93. #16837710C22semidirect
94. #16837710C22semidirect
95. #16837709C22semidirect
96. #16837709C22semidirect
97. #16837703C22semidirect
98. #16837703C22semidirect
99. #16837702C22semidirect
100. #16837702C22semidirect
101. #16837698C22semidirect
102. #16837697C22semidirect
103. #16837693C22semidirect
104. #16837692C22semidirect
105. #16837688C22semidirect
106. #16837687C22semidirect
107. #16837683C22semidirect
108. #16837682C22semidirect
109. #16837621C22semidirect
110. #16837621C22semidirect
111. #16837614C22semidirect
112. #16837614C22semidirect
113. #16837609C22semidirect
114. #16837604C22semidirect
115. #16837599C22semidirect
116. #16837594C22semidirect
133. #16837514C22semidirect
134. #16837514C22semidirect
135. #16837511C22semidirect
136. #16837511C22semidirect
137. #16837509C22semidirect
138. #16837509C22semidirect
139. #16837506C22semidirect
140. #16837506C22semidirect
141. #16837505C22semidirect
142. #16837505C22semidirect
143. #16837503C22semidirect
144. #16837503C22semidirect
145. #16837503C22semidirect
146. #16837503C22semidirect
147. #16837499C22semidirect
148. #16837499C22semidirect
149. Q16×Dic59C22semidirect
150. Q16×Dic59C22semidirect
151. #16837494C22semidirect
152. #16837494C22semidirect
153. #16837493C22semidirect
154. #16837493C22semidirect
155. SD16×Dic59C22semidirect
156. SD16×Dic59C22semidirect
157. SD16×Dic59C22semidirect
158. SD16×Dic59C22semidirect
159. #16837487C22semidirect
160. #16837487C22semidirect
161. D8×Dic59C22semidirect
162. D8×Dic59C22semidirect
163. #16837482C22semidirect
164. #16837482C22semidirect
169. #16837462C22semidirect
170. #16837462C22semidirect
171. #16837462C22semidirect
172. #16837462C22semidirect
173. #16837440C22semidirect
174. #16837440C22semidirect
175. #16837438C22semidirect
176. #16837438C22semidirect
177. C2×C4⋊(C59⋊C8)C22semidirect
182. #16837398C22semidirect
183. #16837398C22semidirect
186. C2×#14273637C22semidirect
187. C2×C8×Dic59C22semidirect
190. C59×#532C22semidirect
192. C59×#464C22semidirect
193. C59×#464C22semidirect
194. C59×#463C22semidirect
195. C59×#463C22semidirect
196. C59×#462C22semidirect
197. C59×#461C22semidirect
198. C59×#460C22semidirect
199. C59×#459C22semidirect
200. C2×C4⋊C8×C59C22semidirect
201. C59×#416C22semidirect
202. C59×#416C22semidirect
881. #3035D59semidirect
917. #532C2×D59semidirect
982. #464C2×D59semidirect
983. #464C2×D59semidirect
986. #463C2×D59semidirect
987. #463C2×D59semidirect
989. #462C2×D59semidirect
991. #461C2×D59semidirect
993. #460C2×D59semidirect
995. #459C2×D59semidirect
1057. C2×C4⋊C8C2×D59semidirect
1064. #416C2×D59semidirect
1065. #416C2×D59semidirect
1070. C59#60557semidirect

Maximal subgroups

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

subgroupindex
#214374852
#214372952
#214343942
#214343852
#214343722
#214343702
#214343572
#214343552
#214343462
#214343372
#214343242
#214343222
#214343092
#214343072
#214342942
#214342922
#214342792
#214342772
#214340072
#214338862
#214338842
#214335452
#214333102
#214328972
#214328922
#135×Dic592
#214328642
C2×#168374622
C59×#30352
#6055759