Finite Group Databasebeta

← #29496435

Subgroups — #29496435

Order 15104.

6528 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438733C214yesmaximal, complemented
2#21438714C214yesmaximal, complemented
3#21438706C212yesmaximal, complemented
4#21438699C212yesmaximal, complemented
5#21438666C212yesmaximal, complemented
6#21438634C212yesmaximal, complemented
7#21438584C212yesmaximal, complemented
8#21438541C212yesmaximal, complemented
9#21438485C212yesmaximal, complemented
10#21438436C212yesmaximal, complemented
11#21438345C212yesmaximal, complemented
12#21438323C212yesmaximal, complemented
13#21438299C214yesmaximal, complemented
14#21438241C214yesmaximal, complemented
15#21437711C214yesmaximal, complemented
16#41×Dic118C212yesmaximal, complemented
17#21437660C212yesmaximal, complemented
18#21437656C214yesmaximal, complemented
19#21437525C214yesmaximal, complemented
20#21437523C214yesmaximal, complemented
21#21437499C212yesmaximal, complemented
22#21437485C212yesmaximal, complemented
23C2×#16837959C211yesmaximal, characteristic, complemented
24C2×#16837936C211yesmaximal, characteristic, complemented
25C59×#3444C211yesmaximal, characteristic, complemented
26C59⋊#564C2214yescomplemented
27#16838156C2214yescomplemented
28#16838155C2218yescomplemented
29#16838154C2218yescomplemented
30#16838154C2218yescomplemented
31#16838153C2218yescomplemented
32#16838152C2214yescomplemented
33#16838149C2218yes—
34#16838147C2218yescomplemented
35#16838146C2214yescomplemented
36Q8×Dic118C2212yescomplemented
37#16838131C2212yescomplemented
38#16838130C2214yescomplemented
39#16838128C2214yescomplemented
40#16838125C2214yescomplemented
41#16838125C2212yescomplemented
42#16838123C2214yescomplemented
43#16838120C2218yescomplemented
44#16838117C2212yescomplemented
45#16838116C2214yescomplemented
46#16838112C2212yescomplemented
47#16838111C2218yes—
48#16838111C2214yescomplemented
49#16838110C2214yescomplemented
50#16838109C2214yes—
51#16838109C2212yescomplemented
52#16838104C2214yescomplemented
53#16838102C2214yescomplemented
54#16838099C2214yescomplemented
55#16838094C2214yescomplemented
56#16838093C2214yescomplemented
57#16838092C2214yes—
58#16838092C2214yescomplemented
59#16838092C2214yescomplemented
60#16838089C2218yes—
61#16838086C2214yescomplemented
62#16838085C2218yescomplemented
63#16838085C2218yescomplemented
64#16838083C2218yes—
65#16838081C2218yes—
66#16838075C2218yes—
67D4×Dic118C2214yes—
68D4×Dic118C2214yescomplemented
69D4×Dic118C2212yescomplemented
70#16838061C2214yes—
71#16838061C2214yescomplemented
72#16838057C2212yescomplemented
73#16838056C2214yes—
74#16838052C2214yescomplemented
75#16838051C2218yescomplemented
76#16838048C2214yes—
77#16838039C2218yes—
78#16838032C2214yescomplemented
79#16838032C2214yescomplemented
80#16838031C2214yes—
81#16838031C2214yes—
82#16838031C2214yescomplemented
83#16838030C2214yescomplemented
84#16838029C2214yescomplemented
85#16838029C2214yescomplemented
86#16838027C2214yes—
87#16838027C2214yes—
88#16838023C2214yes—
89#16838023C2214yescomplemented
90#16838021C2214yescomplemented
91#16838021C2214yescomplemented
92#16838018C2218yescomplemented
93#16838017C2218yescomplemented
94#16838016C2218yescomplemented
95#16838014C2214yescomplemented
96#16838014C2214yescomplemented
97#16838013C2214yescomplemented
98#16838011C2218yescomplemented
99#16838010C2218yescomplemented
100#16838009C2218yescomplemented
101#16838006C2214yescomplemented
102#16838001C2214yes—
103#16837997C2214yes—
104#16837997C2214yes—
105#16837997C2214yescomplemented
106#16837996C2218yescomplemented
107#16837994C2218yescomplemented
108#16837994C2218yescomplemented
109#16837989C2214yes—
110#16837989C2214yes—
111#16837980C2214yes—
112#16837979C2214yes—
113#16837978C2214yescomplemented
114#16837974C2218yescomplemented
115#16837973C2214yescomplemented
116#16837959C2212yes—
117#16837959C2212yes—
118#16837959C2212yes—
119#16837959C2212yes—
120#16837959C2212yescomplemented
121#16837959C2214yescomplemented
122#16837959C2212yescomplemented
123#16837959C2212yescomplemented
124#16837959C2212yescomplemented
125#16837956C2218yescomplemented
126#16837956C2218yescomplemented
127#16837955C2214yes—
128#16837955C2218yescomplemented
129C2×#14273727C2211yescharacteristic, complemented
130C2×#14273727C2211yescharacteristic, complemented
131#16837936C2212yes—
132#16837936C2212yes—
133#16837936C2212yes—
134#16837936C2212yes—
135#16837936C2212yes—
136#16837936C2212yes—
137#16837936C2212yes—
138#16837936C2212yes—
139#16837936C2214yescomplemented
140#16837934C2218yescomplemented
141#16837932C2218yescomplemented
142#16837932C2218yescomplemented
143#16837932C2218yescomplemented
144#16837932C2218yescomplemented
145#16837930C2218yescomplemented
146C2×#14273721C2212yes—
147C2×#14273719C2211yescharacteristic
148C2×#14273719C2212yescomplemented
149C2×#14273715C2211yescharacteristic
150#16837909C2214yes—
151C2×#14273710C2212yes—
152C2×#14273706C2212yes—
153C2×#14273706C2212yes—
154C2×#14273706C2211yescharacteristic
155C2×#14273701C2211yescharacteristic
156#41×Dic59C2214yes—
157C4×#11745685C2214yescomplemented
158C4×#11745687C2218yescomplemented
159C2×C4×Dic118C2211yescharacteristic
160C2×C4×Dic118C2212yescomplemented
161C2×C4×Dic118C2214yescomplemented
162C2×C4×Dic118C2212yescomplemented
163C2×C4×D236C2211yescharacteristic
164C2×C4×C22⋊D59C2212yes—
165C2×#14273686C2212yes—
166C2×#14273684C2212yes—
167#117×D59C2214yes—
168C59×#533C2211yescharacteristic
169C59×#533C2211yescharacteristic, complemented
170C59×#533C2211yescharacteristic, complemented
171C59×#532C2211yescharacteristic
172C59×#532C2211yescharacteristic, complemented
173C59×#532C2211yescharacteristic, complemented
174C59×#529C2212yes—
175C59×#529C2212yes—
176C59×#529C2212yescomplemented
177C59×#529C2212yescomplemented
178C59×#529C2212yescomplemented
179C59×#529C2212yescomplemented
180C59×#525C2212yes—
181C59×#525C2212yes—
182C59×#525C2212yes—
183C4×#41×C59C2212yes—
184C4×#41×C59C2212yescomplemented
185C4×#41×C59C2212yescomplemented
186C22×C42×C59C2211yescharacteristic
187C2×#11745685C2314yes—
188C2×#11745687C2318yes—
189C22×Dic118C2311yescharacteristic
190C22×Dic118C2312yes—
191C22×Dic118C2312yes—
192C22×Dic118C2314yes—
193C22×D236C2311yescharacteristic
194C22×C22⋊D59C2312yes—
195C22×C4×D59C2312yes—
196#14273727C2312yes—
197#14273727C2312yes—
198#14273727C2312yes—
199#14273727C2312yes—
200#14273727C2312yes—
201#14273727C2312yes—
202#14273727C2312yes—
203#14273727C2312yes—
204#14273727C2314yes—
205#14273727C2314yes—
206#14273726C2318yes—
207#14273726C2318yes—
208#14273726C2318yes—
209#14273726C2314yes—
210#14273726C2314yes—
211#14273726C2318yes—
212#14273725C2318yes—
213#14273725C2318yes—
214#14273722C2318yes—
215#14273722C2318yes—
216#14273722C2318yes—
217#14273722C2318yes—
218#14273722C2318yes—
219#14273721C2314yes—
220#14273721C2314yes—
221#14273721C2314yes—
222#14273721C2314yes—
223#14273721C2318yes—
224#14273720C2318yes—
225#14273720C2318yes—
226#14273720C2318yes—
227#14273720C2318yes—
228#14273720C2318yes—
229#14273720C2318yes—
230#14273720C2318yes—
231#14273719C2314yes—
232#14273719C2312yes—
233#14273719C2312yes—
234#14273719C2312yes—
235#14273719C2312yes—
236#14273719C2314yes—
237#14273719C2314yes—
238#14273719C2314yes—
239#14273719C2314yes—
240#14273719C2318yes—
241#14273718C2318yes—
242#14273718C2318yes—
243#14273718C2318yes—
244#14273718C2314yes—
245#14273718C2314yes—
246#14273717C2318yes—
247#14273717C2318yes—
248#14273717C2318yes—
249#14273717C2318yes—
250#14273717C2318yes—
251#14273717C2318yes—
252#14273717C2318yes—
253#14273717C2318yes—
254#14273717C2318yes—
255#14273715C2312yes—
256#14273715C2312yes—
257#14273715C2312yes—
258#14273715C2312yes—
259#14273715C2314yes—
260#14273714C2318yes—
261#14273713C2318yes—
262#14273713C2318yes—
263#14273713C2318yes—
264#14273713C2318yes—
265#14273713C2318yes—
266#14273712C2318yes—
267#14273711C2318yes—
268#14273711C2318yes—
269#14273711C2318yes—
270#14273711C2318yes—
271#14273710C2314yes—
272#14273710C2314yes—
273#14273710C2314yes—
274#14273710C2314yes—
275#14273710C2318yes—
276#14273709C2318yes—
277#14273709C2318yes—
278#14273709C2318yes—
279#14273708C2318yes—
280#14273708C2318yes—
281#14273708C2318yes—
282#14273708C2318yes—
283#14273708C2318yes—
284#14273707C2318yes—
285#14273707C2318yes—
286#14273707C2318yes—
287#14273706C2314yes—
288#14273706C2314yes—
289#14273706C2312yes—
290#14273706C2312yes—
291#14273706C2312yes—
292#14273706C2312yes—
293#14273706C2314yes—
294#14273706C2314yes—
295#14273706C2314yes—
296#14273706C2314yes—
297#14273706C2314yes—
298#14273706C2314yes—
299#14273706C2314yes—
300#14273706C2314yes—
301#14273706C2314yes—
302#14273706C2318yes—
303#14273705C2318yes—
304#14273705C2318yes—
305#14273705C2318yes—
306#14273705C2318yes—
307#14273705C2318yes—
308#14273704C2318yes—
309#14273704C2318yes—
310#14273704C2318yes—
311#14273704C2318yes—
312#14273704C2318yes—
313#14273704C2318yes—
314#14273704C2318yes—
315#14273704C2318yes—
316#14273704C2318yes—
317#14273704C2318yes—
318#14273703C2318yes—
319#14273703C2314yes—
320#14273703C2314yes—
321#14273703C2318yes—
322#14273701C2312yes—
323#14273701C2312yes—
324#14273701C2312yes—
325#14273701C2312yes—
326#14273701C2314yes—
327#14273700C2318yes—
328#14273699C2318yes—
329#14273699C2318yes—
330#14273699C2318yes—
331#14273699C2318yes—
332#14273698C2318yes—
333#14273698C2314yes—
334#14273698C2314yes—
335#14273695C2318yes—
336Q8×Dic59C2314yes—
337Q8×Dic59C2314yes—
338C4×Dic118C2314yes—
339C4×Dic118C2314yes—
340C4×Dic118C2314yes—
341C4×Dic118C2318yes—
342C4×Dic118C2318yes—
343C4×Dic118C2312yes—
344C4×Dic118C2312yes—
345C4×Dic118C2312yes—
346C4×Dic118C2312yes—
347C4×Dic118C2314yes—
348C4×Dic118C2314yes—
349C4×Dic118C2314yes—
350C4×Dic118C2314yes—
351C4×Dic118C2314yes—
352C4×Dic118C2318yes—
353C4×Dic118C2314yes—
354C4×Dic118C2314yes—
355C4×Dic118C2314yes—
356#14273692C2318yes—
357C4×D236C2312yes—
358C4×D236C2312yes—
359C4×D236C2312yes—
360C4×D236C2312yes—
361C4×D236C2314yes—
362D4×Dic59C2318yes—
363D4×Dic59C2318yes—
364D4×Dic59C2318yes—
365D4×Dic59C2314yes—
366D4×Dic59C2314yes—
367C4×C22⋊D59C2318yes—
368C4×C22⋊D59C2318yes—
369C4×C22⋊D59C2314yes—
370C4×C22⋊D59C2314yes—
371C4×C22⋊D59C2314yes—
372C4×C22⋊D59C2314yes—
373C4×C22⋊D59C2318yes—
374(C22⋊D59)⋊C4C2318yes—
375(C22⋊D59)⋊C4C2318yes—
376#14273686C2314yes—
377#14273686C2318yes—
378#14273686C2314yes—
379#14273686C2314yes—
380#14273686C2314yes—
381#14273686C2314yes—
382#14273685C2318yes—
383#14273685C2314yes—
384#14273685C2314yes—
385#14273684C2318yes—
386#14273684C2314yes—
387#14273684C2314yes—
388#14273684C2314yes—
389#14273684C2314yes—
390#14273684C2318yes—
391#14273683C2318yes—
392#14273683C2318yes—
393#14273683C2318yes—
394C2×C4⋊Dic59C2311yescharacteristic
395C2×C4⋊Dic59C2311yescharacteristic
396C2×C4⋊Dic59C2312yes—
397C2×C4⋊Dic59C2312yes—
398C2×C4⋊Dic59C2312yes—
399C2×C4⋊Dic59C2312yes—
400C2×C4⋊Dic59C2314yes—
401C2×Dic59⋊C4C2314yes—
402C2×Dic59⋊C4C2314yes—
403C2×Dic59⋊C4C2312yes—
404C2×Dic59⋊C4C2312yes—
405C2×Dic59⋊C4C2312yes—
406C2×Dic59⋊C4C2312yes—
407C2×Dic59⋊C4C2318yes—
408C4⋊C4×D59C2314yes—
409C4⋊C4×D59C2314yes—
410C2×C22⋊Dic59C2314yes—
411C2×C22⋊Dic59C2312yes—
412C2×(C2×D59)⋊C4C2312yes—
413C2×(C2×D59)⋊C4C2312yes—
414C2×(C2×D59)⋊C4C2312yes—
415C2×(C2×D59)⋊C4C2312yes—
416C22⋊C4×D59C2318yes—
417C2×C4×Dic59C2318yes—
418C2×C4×Dic59C2314yes—
419C2×C4×Dic59C2312yes—
420C42×D59C2318yes—
421C2×#41×C59C2312yes—
422C2×#41×C59C2312yes—
423C2×#41×C59C2312yes—
424C23×C4×C59C2311yescharacteristic
425C23×C4×C59C2311yescharacteristic
426C23×C4×C59C2311yescharacteristic
427C4⋊Q8×C59C2311yescharacteristic
428C4⋊Q8×C59C2311yescharacteristic
429C4⋊Q8×C59C2311yescharacteristic
430#127×C59C2311yescharacteristic
431#126×C59C2314yes—
432#126×C59C2314yes—
433#125×C59C2312yes—
434#125×C59C2312yes—
435#125×C59C2312yes—
436#124×C59C2312yes—
437#124×C59C2312yes—
438#124×C59C2312yes—
439#123×C59C2314yes—
440#123×C59C2314yes—
441#123×C59C2314yes—
442C22⋊Q8×C59C2312yes—
443C22⋊Q8×C59C2312yes—
444C22⋊Q8×C59C2312yes—
445C22⋊Q8×C59C2312yes—
446C22⋊Q8×C59C2312yes—
447C22⋊Q8×C59C2312yes—
448#121×C59C2312yes—
449#121×C59C2312yes—
450#121×C59C2312yes—
451#121×C59C2312yes—
452#121×C59C2312yes—
453#121×C59C2312yes—
454#120×C59C2314yes—
455C4×Q8×C59C2312yes—
456C4×Q8×C59C2312yes—
457C4×Q8×C59C2312yes—
458C4×Q8×C59C2312yes—
459C4×Q8×C59C2312yes—
460C4×Q8×C59C2312yes—
461C4×D4×C59C2312yes—
462C4×D4×C59C2312yes—
463C4×D4×C59C2314yes—
464C4×D4×C59C2314yes—
465C4×D4×C59C2312yes—
466C4×D4×C59C2314yes—
467C4×D4×C59C2314yes—
468C4×D4×C59C2314yes—
469C4×D4×C59C2312yes—
470C4×D4×C59C2312yes—
471C4×D4×C59C2314yes—
472C4×D4×C59C2312yes—
473#117×C59C2314yes—
474#117×C59C2312yes—
475#117×C59C2314yes—
476#117×C59C2312yes—
477#117×C59C2312yes—
478#117×C59C2314yes—
479C2×C42×C59C2311yescharacteristic
480C2×C42×C59C2311yescharacteristic
481C2×C42×C59C2311yescharacteristic
482C2×C42×C59C2311yescharacteristic
483C2×C42×C59C2311yescharacteristic
484C2×C42×C59C2311yescharacteristic
485C2×C42×C59C2311yescharacteristic
486C2×C42×C59C2311yescharacteristic
487C2×C42×C59C2311yescharacteristic
488C2×C42×C59C2311yescharacteristic
489C2×C42×C59C2314yes—
490C2×C42×C59C2311yescharacteristic
491C2×C42×C59C2311yescharacteristic
492C24×C59C2411yescharacteristic
493C23×D59C2412yes—
494#41×C59—28no—
495#41×C59—44no—
496#41×C59—44no—
497C2×Q8×C59C2412yes—
498C2×Q8×C59C2412yes—
499C2×Q8×C59C2412yes—
500C2×D4×C59C2414yes—
501C2×D4×C59C2414yes—
502C2×D4×C59C2412yes—
503C2×D4×C59C2414yes—
504C2×D4×C59C2412yes—
505C2×D4×C59C2412yes—
506C22×C4×C59—24no—
507C22×C4×C59—42no—
508C22×C4×C59—42no—
509C22×C4×C59C2411yescharacteristic
510C22×C4×C59C2411yescharacteristic
511C22×C4×C59C2411yescharacteristic
512C22×C4×C59C2411yescharacteristic
513C22×C4×C59C2411yescharacteristic
514C22×C4×C59C2411yescharacteristic
515C22×C4×C59C2411yescharacteristic
516C22×C4×C59C2411yescharacteristic
517C22×C4×C59C2411yescharacteristic
518C22×C4×C59C2411yescharacteristic
519C22×C4×C59C2414yes—
520C22×C4×C59C2414yes—
521C22×C4×C59C2411yescharacteristic
522C22×C4×C59C2411yescharacteristic
523C22×C4×C59C2411yescharacteristic
524C22×C4×C59C2411yescharacteristic
525C22×C4×C59C2411yescharacteristic
526C22×C4×C59C2411yescharacteristic
527C22×C4×C59C2411yescharacteristic
528C22×C4×C59C2414yes—
529C22×C4×C59C2411yescharacteristic
530C2×C22⋊D59—44no—
531C2×C22⋊D59C2414yes—
532C2×C22⋊D59C2418yes—
533C2×C22⋊D59C2418yes—
534C2×C22⋊D59C2414yes—
535C22×Dic59C2414yes—
536C22×Dic59C2412yes—
537C22×Dic59C2412yes—
538C22×Dic59C2412yes—
539C22×Dic59C2414yes—
540C22×Dic59C2418yes—
541C22×Dic59C2418yes—
542#11745687—416no—
543#11745685—48no—
544C2×D236—42no—
545C2×D236C2412yes—
546C2×D236C2412yes—
547C2×C4×D59—28no—
548C2×C4×D59C2414yes—
549C2×C4×D59C2414yes—
550C2×C4×D59C2418yes—
551C2×C4×D59C2418yes—
552C2×Dic118—42no—
553C2×Dic118—48no—
554C2×Dic118—44no—
555C2×Dic118—44no—
556C2×Dic118C2412yes—
557C2×Dic118C2414yes—
558C2×Dic118C2418yes—
559C2×Dic118C2412yes—
560C2×Dic118C2418yes—
561C2×Dic118C2414yes—
562C2×Dic118C2414yes—
563C2×Dic118C2414yes—
564C4⋊C4×C59C2412yes—
565C4⋊C4×C59C2412yes—
566C4⋊C4×C59C2412yes—
567C4⋊C4×C59C2412yes—
568C4⋊C4×C59C2412yes—
569C4⋊C4×C59C2412yes—
570C4⋊C4×C59C2414yes—
571C4⋊C4×C59C2414yes—
572C4⋊C4×C59C2414yes—
573C4⋊C4×C59C2414yes—
574C4⋊C4×C59C2414yes—
575C4⋊C4×C59C2414yes—
576C22⋊C4×C59C2414yes—
577C22⋊C4×C59C2414yes—
578C22⋊C4×C59C2414yes—
579C22⋊C4×C59C2414yes—
580C22⋊C4×C59C2414yes—
581C22⋊C4×C59C2414yes—
582C22⋊C4×C59C2414yes—
583C22⋊C4×C59C2414yes—
584C22⋊C4×C59C2414yes—
585C42×C59C2411yescharacteristic
586C42×C59C2411yescharacteristic
587C42×C59C2411yescharacteristic
588C42×C59C2411yescharacteristic
589C42×C59C2411yescharacteristic
590C42×C59C2411yescharacteristic
591C42×C59C2411yescharacteristic
592C42×C59C2411yescharacteristic
593C42×C59C2411yescharacteristic
594C42×C59C2411yescharacteristic
595C42×C59C2411yescharacteristic
596C42×C59C2411yescharacteristic
597C42×C59C2411yescharacteristic
598C42×C59C2411yescharacteristic
599C42×C59C2411yescharacteristic
600C42×C59C2411yescharacteristic
601C42×C59C2414yes—
602C42×C59C2414yes—
603C42×C59C2414yes—
604C22⋊Dic59C2418yes—
605C22⋊Dic59C2414yes—
606C22⋊Dic59C2418yes—
607C22⋊Dic59C2414yes—
608C22⋊Dic59C2418yes—
609C22⋊Dic59C2418yes—
610C22⋊Dic59C2418yes—
611C22⋊Dic59C2418yes—
612(C2×D59)⋊C4C2418yes—
613(C2×D59)⋊C4C2418yes—
614(C2×D59)⋊C4C2414yes—
615(C2×D59)⋊C4C2414yes—
616(C2×D59)⋊C4C2414yes—
617(C2×D59)⋊C4C2414yes—
618(C2×D59)⋊C4C2414yes—
619(C2×D59)⋊C4C2414yes—
620(C2×D59)⋊C4C2414yes—
621(C2×D59)⋊C4C2414yes—
622(C2×D59)⋊C4C2418yes—
623(C2×D59)⋊C4C2418yes—
624C4⋊Dic59C2414yes—
625C4⋊Dic59C2414yes—
626C4⋊Dic59C2412yes—
627C4⋊Dic59C2414yes—
628C4⋊Dic59C2412yes—
629C4⋊Dic59C2414yes—
630C4⋊Dic59C2414yes—
631C4⋊Dic59C2412yes—
632C4⋊Dic59C2418yes—
633C4⋊Dic59C2412yes—
634C4⋊Dic59C2414yes—
635C4⋊Dic59C2414yes—
636C4⋊Dic59C2414yes—
637C4⋊Dic59C2418yes—
638C4⋊Dic59C2418yes—
639C4⋊Dic59C2418yes—
640Dic59⋊C4C2418yes—
641Dic59⋊C4C2418yes—
642Dic59⋊C4C2414yes—
643Dic59⋊C4C2418yes—
644Dic59⋊C4C2414yes—
645Dic59⋊C4C2414yes—
646Dic59⋊C4C2414yes—
647Dic59⋊C4C2414yes—
648Dic59⋊C4C2414yes—
649Dic59⋊C4C2414yes—
650Dic59⋊C4C2418yes—
651Dic59⋊C4C2418yes—
652Dic59⋊C4C2418yes—
653Dic59⋊C4C2418yes—
654Dic59⋊C4C2418yes—
655Dic59⋊C4C2414yes—
656Dic59⋊C4C2418yes—
657Dic59⋊C4C2418yes—
658Dic59⋊C4C2418yes—
659Dic59⋊C4C2418yes—
660C4×Dic59C2418yes—
661C4×Dic59C2418yes—
662C4×Dic59C2418yes—
663C4×Dic59C2414yes—
664C4×Dic59C2418yes—
665C4×Dic59C2418yes—
666C4×Dic59C2414yes—
667C4×Dic59C2418yes—
668C23×C59—22no—
669C23×C59—22no—
670C23×C59—41no—
671C23×C59C2511yescharacteristic
672C23×C59C2514yes—
673C23×C59C2511yescharacteristic
674C23×C59C2511yescharacteristic
675C22×D59—24no—
676C22×D59—42no—
677C22×D59—42no—
678C22×D59C2514yes—
679Q8×C59—24no—
680Q8×C59—42no—
681Q8×C59—42no—
682D4×C59—28no—
683D4×C59—28no—
684D4×C59—24no—
685D4×C59—44no—
686D4×C59—42no—
687D4×C59—42no—
688C2×C4×C59—22no—
689C2×C4×C59—22no—
690C2×C4×C59—22no—
691C2×C4×C59—22no—
692C2×C4×C59—22no—
693C2×C4×C59—22no—
694C2×C4×C59—22no—
695C2×C4×C59—28no—
696C2×C4×C59—22no—
697C2×C4×C59—22no—
698C2×C4×C59—28no—
699C2×C4×C59—22no—
700C2×C4×C59—41no—
701C2×C4×C59—41no—
702C2×C4×C59—41no—
703C2×C4×C59—41no—
704C2×C4×C59—41no—
705C2×C4×C59—41no—
706C2×C4×C59—41no—
707C2×C4×C59—44no—
708C2×C4×C592−1+414yes—
709C2×C4×C59C2511yescharacteristic
710C2×C4×C59C2514yes—
711C2×C4×C59C2514yes—
712C2×C4×C59C2514yes—
713C2×C4×C59C2511yescharacteristic
714C2×C4×C59C2511yescharacteristic
715C2×C4×C59C2511yescharacteristic
716C2×C4×C59C2511yescharacteristic
717C2×C4×C59C2511yescharacteristic
718C2×C4×C59C2511yescharacteristic
719C2×C4×C59C2511yescharacteristic
720C2×C4×C59C2511yescharacteristic
721C2×C4×C59C2511yescharacteristic
722C2×C4×C59C2511yescharacteristic
723C2×C4×C59C2511yescharacteristic
724C22⋊D59—28no—
725C22⋊D59—48no—
726C22⋊D59—48no—
727C22⋊D59—44no—
728C2×Dic59—24no—
729C2×Dic59—28no—
730C2×Dic59—42no—
731C2×Dic59—48no—
732C2×Dic59—44no—
733C2×Dic59—48no—
734C2×Dic59—42no—
735C2×Dic59C2514yes—
736C2×Dic59C2514yes—
737C2×Dic59C2518yes—
738C2×Dic59C2518yes—
739C2×Dic59C2514yes—
740D236—24no—
741D236—42no—
742C4×D59—28no—
743C4×D59—28no—
744C4×D59—48no—
745C4×D59—48no—
746Dic118—24no—
747Dic118—28no—
748Dic118—42no—
749Dic118—48no—
750Dic118—44no—
751Dic118—44no—
752Dic118—44no—
753Dic118—48no—
754#62752—591nomaximal, Sylow
755C22×C59—21no—
756C22×C59—21no—
757C22×C59—21no—
758C22×C59—21no—
759C22×C59—21no—
760C22×C59—24no—
761C22×C59—24no—
762C22×C59—24no—
763C22×C59—21no—
764C22×C59—21no—
765C22×C59—44no—
766C22×C59C2×2−1+412yes—
767C22×C59#58512yes—
768C22×C59C2611yescharacteristic
769C2×D59—24no—
770C2×D59—24no—
771C2×D59—24no—
772C2×D59—84no—
773C4×C59—21no—
774C4×C59—21no—
775C4×C59—24no—
776C4×C59—21no—
777C4×C59—21no—
778C4×C59—21no—
779C4×C59—24no—
780C4×C59—24no—
781C4×C59—21no—
782C4×C59—21no—
783C4×C59—21no—
784C4×C59—21no—
785C4×C59C2×2−1+412yes—
786C4×C59C2×2−1+412yes—
787C4×C59#58512yes—
788Dic59—24no—
789Dic59—24no—
790Dic59—28no—
791Dic59—28no—
792Dic59—24no—
793#3565—594no—
794#3564—594no—
795#3563—592no—
796#3563—592no—
797#3561—592no—
798#3559—592no—
799#3555—592no—
800#3552—592no—
801#3547—592no—
802#3544—592no—
803#3538—592no—
804#3536—592no—
805#3535—594no—
806#3531—594no—
807#3482—594no—
808Q8×#41—592no—
809#3475—594no—
810#3475—592no—
811#3461—594no—
812#3461—594no—
813#3458—592no—
814#3455—592no—
815#3444D5911yescharacteristic, complemented
816C2×#533—591no—
817C2×#529—591no—
818C2×C59—22no—
819C2×C59—22no—
820C2×C59—44no—
821C2×C59—41no—
822C2×C59C22×2−1+411yescharacteristic
823C2×C59C2×#58511yescharacteristic
824C2×C59C2×#58511yescharacteristic
825D59—44no—
826#564—594no—
827#563—598no—
828#563—598no—
829#563—594no—
830#563—594no—
831#563—598no—
832#563—598no—
833#562—594no—
834#562—598no—
835#562—598no—
836Q82—592no—
837#557—592no—
838#557—594no—
839#557—594no—
840#556—594no—
841#556—592no—
842#556—594no—
843#556—598no—
844#555—594no—
845#555—592no—
846#554—594no—
847#554—592no—
848#554—598no—
849#554—594no—
850#554—592no—
851#554—594no—
852#553—594no—
853#553—594no—
854#553—594no—
855#552—598no—
856#552—594no—
857#552—594no—
858#552—594no—
859#552—594no—
860#552—594no—
861#552—594no—
862#552—598no—
863#552—598no—
864#551—598no—
865#551—598no—
866#551—598no—
867D4×Q8—594no—
868D4×Q8—592no—
869D4×Q8—594no—
870#548—594no—
871#548—594no—
872#547—598no—
873#547—594no—
874#547—592no—
875#547—594no—
876#546—598no—
877#546—594no—
878#544—594no—
879#544—594no—
880#544—594no—
881#544—594no—
882#544—594no—
883#544—594no—
884#544—594no—
885#544—594no—
886#543—594no—
887#543—594no—
888#542—598no—
889#542—594no—
890#542—594no—
891#542—598no—
892#542—598no—
893#542—594no—
894#542—594no—
895#541—594no—
896#541—598no—
897#541—598no—
898#541—598no—
899#541—594no—
900#541—594no—
901#540—594no—
902#539—598no—
903#539—594no—
904#539—594no—
905#539—594no—
906#539—594no—
907#539—598no—
908#539—598no—
909#538—594no—
910#538—594no—
911#537—594no—
912#537—594no—
913#536—594no—
914#536—598no—
915#536—594no—
916#533—598no—
917#533—598no—
918#533—594no—
919#533—598no—
920#533—592no—
921#533—592no—
922#533—592no—
923#533—592no—
924#533—592no—
925#533—592no—
926#533—592no—
927#533—592no—
928#533—594no—
929#533C2×D5911yescharacteristic
930#533C2×D5911yescharacteristic, complemented
931#533C2×D5911yescharacteristic, complemented
932#532C2×D5911yescharacteristic
933#532C2×D5911yescharacteristic, complemented
934#532C2×D5911yescharacteristic, complemented
935C2×C4⋊Q8—591no—
936C2×C4⋊Q8—591no—
937#529—598no—
938#529—598no—
939#529—598no—
940#529—598no—
941#529—598no—
942#529—598no—
943#529—592no—
944#529—592no—
945#529—592no—
946#529—592no—
947#529—592no—
948#529—592no—
949#529—592no—
950#529—592no—
951#529—594no—
952#529C2×D5912yes—
953#529C2×D5912yes—
954#529C2×D5912yescomplemented
955#529C2×D5912yescomplemented
956#529C2×D5912yescomplemented
957#529C2×D5912yescomplemented
958C2×#126—592no—
959C2×#125—591no—
960C2×#125—592no—
961C2×#124—591no—
962#525—594no—
963#525C2×D5912yes—
964#525C2×D5912yes—
965#525C2×D5912yes—
966C2×#123—592no—
967C2×C22⋊Q8—591no—
968C2×C22⋊Q8—592no—
969C2×C22⋊Q8—592no—
970C2×#121—591no—
971C4×#41—594no—
972C4×#41—598no—
973C4×#41—594no—
974C4×#41C2×D5912yes—
975C4×#41C2×D5912yescomplemented
976C4×#41C2×D5912yescomplemented
977C2×C4×Q8—591no—
978C2×C4×Q8—592no—
979C2×C4×Q8—592no—
980C2×C4×Q8—594no—
981C2×C4×D4—592no—
982C2×C4×D4—591no—
983C2×#117—592no—
984C2×#117—594no—
985C2×#117—592no—
986C22×C42C2×D5911yescharacteristic
987C59#6275211yescharacteristic, complemented, Sylow
988C2×#41—598no—
989C2×#41—594no—
990C2×#41C22×D5912yes—
991C2×#41C22×D5912yes—
992C2×#41C22×D5912yes—
993C22×Q8—591no—
994C22×Q8—592no—
995C22×Q8—592no—
996C22×Q8—594no—
997C22×D4—592no—
998C22×D4—591no—
999C23×C4—592no—
1000C23×C4C22×D5911yescharacteristic
1001C23×C4C22×D5911yescharacteristic
1002C23×C4C22×D5911yescharacteristic
1003C4⋊Q8—598no—
1004C4⋊Q8—598no—
1005C4⋊Q8—598no—
1006C4⋊Q8—598no—
1007C4⋊Q8—598no—
1008C4⋊Q8—594no—
1009C4⋊Q8—594no—
1010C4⋊Q8—598no—
1011C4⋊Q8—592no—
1012C4⋊Q8—592no—
1013C4⋊Q8—592no—
1014C4⋊Q8—592no—
1015C4⋊Q8—592no—
1016C4⋊Q8—592no—
1017C4⋊Q8—592no—
1018C4⋊Q8—592no—
1019C4⋊Q8—594no—
1020C4⋊Q8—594no—
1021C4⋊Q8C22×D5911yescharacteristic
1022C4⋊Q8C22×D5911yescharacteristic
1023C4⋊Q8C22×D5911yescharacteristic
1024#127C22×D5911yescharacteristic
1025#126—598no—
1026#126—598no—
1027#126—598no—
1028#126—598no—
1029#126—598no—
1030#126—598no—
1031#126—598no—
1032#126—598no—
1033#126—598no—
1034#126—598no—
1035#126—598no—
1036#126—598no—
1037#126—594no—
1038#126—594no—
1039#126—594no—
1040#126—594no—
1041#126—598no—
1042#126C22×D5914yes—
1043#126C22×D5914yes—
1044#125—598no—
1045#125—598no—
1046#125—598no—
1047#125—598no—
1048#125—598no—
1049#125—598no—
1050#125—598no—
1051#125—598no—
1052#125—598no—
1053#125—598no—
1054#125—598no—
1055#125—598no—
1056#125—594no—
1057#125—594no—
1058#125—592no—
1059#125—592no—
1060#125—592no—
1061#125—592no—
1062#125—594no—
1063#125—594no—
1064#125—594no—
1065#125—594no—
1066#125—594no—
1067#125—598no—
1068#125C22×D5912yes—
1069#125C22×D5912yes—
1070#125C22×D5912yes—
1071#124—598no—
1072#124—598no—
1073#124—598no—
1074#124—598no—
1075#124—598no—
1076#124—598no—
1077#124—592no—
1078#124—592no—
1079#124—592no—
1080#124—592no—
1081#124—594no—
1082#124C22×D5912yes—
1083#124C22×D5912yes—
1084#124C22×D5912yes—
1085#123—598no—
1086#123—598no—
1087#123—598no—
1088#123—598no—
1089#123—598no—
1090#123—594no—
1091#123—594no—
1092#123—594no—
1093#123—594no—
1094#123—598no—
1095#123—598no—
1096#123—598no—
1097#123—598no—
1098#123—598no—
1099#123—598no—
1100#123—598no—
1101#123—598no—
1102#123—598no—
1103#123C22×D5914yes—
1104#123C22×D5914yes—
1105#123C22×D5914yes—
1106C22⋊Q8—594no—
1107C22⋊Q8—594no—
1108C22⋊Q8—598no—
1109C22⋊Q8—598no—
1110C22⋊Q8—592no—
1111C22⋊Q8—592no—
1112C22⋊Q8—592no—
1113C22⋊Q8—592no—
1114C22⋊Q8—594no—
1115C22⋊Q8—594no—
1116C22⋊Q8—594no—
1117C22⋊Q8—594no—
1118C22⋊Q8—594no—
1119C22⋊Q8—594no—
1120C22⋊Q8—594no—
1121C22⋊Q8—594no—
1122C22⋊Q8—594no—
1123C22⋊Q8—594no—
1124C22⋊Q8—594no—
1125C22⋊Q8—598no—
1126C22⋊Q8—598no—
1127C22⋊Q8—598no—
1128C22⋊Q8—598no—
1129C22⋊Q8—598no—
1130C22⋊Q8—598no—
1131C22⋊Q8—598no—
1132C22⋊Q8—598no—
1133C22⋊Q8—598no—
1134C22⋊Q8—598no—
1135C22⋊Q8—598no—
1136C22⋊Q8—598no—
1137C22⋊Q8—598no—
1138C22⋊Q8—598no—
1139C22⋊Q8—598no—
1140C22⋊Q8—598no—
1141C22⋊Q8—598no—
1142C22⋊Q8—598no—
1143C22⋊Q8—598no—
1144C22⋊Q8C22×D5912yes—
1145C22⋊Q8C22×D5912yes—
1146C22⋊Q8C22×D5912yes—
1147C22⋊Q8C22×D5912yes—
1148C22⋊Q8C22×D5912yes—
1149C22⋊Q8C22×D5912yes—
1150#121—594no—
1151#121—594no—
1152#121—598no—
1153#121—598no—
1154#121—598no—
1155#121—598no—
1156#121—598no—
1157#121—592no—
1158#121—592no—
1159#121—592no—
1160#121—592no—
1161#121—594no—
1162#121—598no—
1163#121C22×D5912yes—
1164#121C22×D5912yes—
1165#121C22×D5912yes—
1166#121C22×D5912yes—
1167#121C22×D5912yes—
1168#121C22×D5912yes—
1169#120—598no—
1170#120C22×D5914yes—
1171C4×Q8—594no—
1172C4×Q8—594no—
1173C4×Q8—598no—
1174C4×Q8—592no—
1175C4×Q8—594no—
1176C4×Q8—598no—
1177C4×Q8—594no—
1178C4×Q8—594no—
1179C4×Q8—592no—
1180C4×Q8—594no—
1181C4×Q8—592no—
1182C4×Q8—592no—
1183C4×Q8—594no—
1184C4×Q8—594no—
1185C4×Q8—594no—
1186C4×Q8—594no—
1187C4×Q8—594no—
1188C4×Q8—594no—
1189C4×Q8—598no—
1190C4×Q8—598no—
1191C4×Q8—594no—
1192C4×Q8C22×D5912yes—
1193C4×Q8C22×D5912yes—
1194C4×Q8C22×D5912yes—
1195C4×Q8C22×D5912yes—
1196C4×Q8C22×D5912yes—
1197C4×Q8C22×D5912yes—
1198C4×D4—598no—
1199C4×D4—598no—
1200C4×D4—598no—
1201C4×D4—594no—
1202C4×D4—594no—
1203C4×D4—594no—
1204C4×D4—594no—
1205C4×D4—594no—
1206C4×D4—594no—
1207C4×D4—598no—
1208C4×D4—598no—
1209C4×D4—598no—
1210C4×D4—598no—
1211C4×D4—598no—
1212C4×D4—592no—
1213C4×D4—592no—
1214C4×D4—592no—
1215C4×D4—592no—
1216C4×D4—594no—
1217C4×D4C22×D5914yes—
1218C4×D4C22×D5914yes—
1219C4×D4C22×D5914yes—
1220C4×D4C22×D5912yes—
1221C4×D4C22×D5912yes—
1222C4×D4C22×D5914yes—
1223C4×D4C22×D5914yes—
1224C4×D4C22×D5914yes—
1225C4×D4C22×D5912yes—
1226C4×D4C22×D5912yes—
1227C4×D4C22×D5912yes—
1228C4×D4C22×D5912yes—
1229#117—594no—
1230#117—594no—
1231#117—594no—
1232#117—594no—
1233#117—598no—
1234#117—594no—
1235#117—594no—
1236#117—594no—
1237#117—598no—
1238#117—598no—
1239#117—598no—
1240#117—598no—
1241#117—598no—
1242#117—594no—
1243#117—594no—
1244#117—594no—
1245#117—594no—
1246#117—598no—
1247#117C22×D5912yes—
1248#117C22×D5914yes—
1249#117C22×D5912yes—
1250#117C22×D5912yes—
1251#117C22×D5914yes—
1252#117C22×D5914yes—
1253C2×C4⋊C4—592no—
1254C2×C4⋊C4—592no—
1255C2×C4⋊C4—592no—
1256C2×C4⋊C4—592no—
1257C2×C4⋊C4—591no—
1258C2×C4⋊C4—592no—
1259C2×C4⋊C4—591no—
1260C2×C4⋊C4—594no—
1261C2×C4⋊C4—594no—
1262C2×C4⋊C4—592no—
1263C2×C4⋊C4—592no—
1264C2×C4⋊C4—592no—
1265C2×C4⋊C4—594no—
1266C2×C4⋊C4—598no—
1267C2×C4⋊C4—594no—
1268C2×C4⋊C4—594no—
1269C2×C22⋊C4—594no—
1270C2×C22⋊C4—592no—
1271C2×C22⋊C4—592no—
1272C2×C22⋊C4—592no—
1273C2×C22⋊C4—592no—
1274C2×C22⋊C4—592no—
1275C2×C22⋊C4—598no—
1276C2×C42—592no—
1277C2×C42—594no—
1278C2×C42—598no—
1279C2×C42—598no—
1280C2×C42C22×D5911yescharacteristic
1281C2×C42C22×D5911yescharacteristic
1282C2×C42C22×D5911yescharacteristic
1283C2×C42C22×D5911yescharacteristic
1284C2×C42C22×D5914yes—
1285C2×C42C22×D5911yescharacteristic
1286C2×C42C22×D5911yescharacteristic
1287C2×C42C22×D5911yescharacteristic
1288C2×C42C22×D5911yescharacteristic
1289C2×C42C22×D5911yescharacteristic
1290C2×C42C22×D5911yescharacteristic
1291C2×C42C22×D5911yescharacteristic
1292C2×C42C22×D5911yescharacteristic
1293C24—592no—
1294C24C23×D5911yescharacteristic
1295#41—28no—
1296#41—44no—
1297#41—44no—
1298#41—2368no—
1299#41—23616no—
1300C2×Q8—592no—
1301C2×Q8—594no—
1302C2×Q8—592no—
1303C2×Q8—598no—
1304C2×Q8—594no—
1305C2×Q8—594no—
1306C2×Q8—594no—
1307C2×Q8—598no—
1308C2×Q8—2364no—
1309C2×Q8—2362no—
1310C2×Q8—2364no—
1311C2×Q8—2368no—
1312C2×Q8C23×D5912yes—
1313C2×Q8C23×D5912yes—
1314C2×Q8C23×D5912yes—
1315C2×D4—594no—
1316C2×D4—598no—
1317C2×D4—598no—
1318C2×D4—594no—
1319C2×D4—592no—
1320C2×D4—592no—
1321C2×D4—2362no—
1322C2×D4—2364no—
1323C2×D4C23×D5914yes—
1324C2×D4C23×D5912yes—
1325C2×D4C23×D5914yes—
1326C2×D4C23×D5914yes—
1327C2×D4C23×D5912yes—
1328C2×D4C23×D5912yes—
1329C22×C4—24no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—594no—
1333C22×C4—592no—
1334C22×C4—592no—
1335C22×C4—594no—
1336C22×C4—592no—
1337C22×C4—598no—
1338C22×C4—598no—
1339C22×C4—594no—
1340C22×C4—594no—
1341C22×C4—598no—
1342C22×C4—598no—
1343C22×C4—1188no—
1344C22×C4C23×D5911yescharacteristic
1345C22×C4C23×D5911yescharacteristic
1346C22×C4C23×D5911yescharacteristic
1347C22×C4C23×D5911yescharacteristic
1348C22×C4C23×D5911yescharacteristic
1349C22×C4C23×D5911yescharacteristic
1350C22×C4C23×D5911yescharacteristic
1351C22×C4C23×D5911yescharacteristic
1352C22×C4C23×D5914yes—
1353C22×C4C23×D5911yescharacteristic
1354C22×C4C23×D5914yes—
1355C22×C4C23×D5911yescharacteristic
1356C22×C4C23×D5911yescharacteristic
1357C22×C4C23×D5911yescharacteristic
1358C22×C4C23×D5911yescharacteristic
1359C22×C4C23×D5911yescharacteristic
1360C22×C4C23×D5911yescharacteristic
1361C22×C4C23×D5911yescharacteristic
1362C22×C4C23×D5911yescharacteristic
1363C22×C4C23×D5914yes—
1364C22×C4C23×D5911yescharacteristic
1365C4⋊C4—592no—
1366C4⋊C4—594no—
1367C4⋊C4—594no—
1368C4⋊C4—594no—
1369C4⋊C4—594no—
1370C4⋊C4—598no—
1371C4⋊C4—592no—
1372C4⋊C4—594no—
1373C4⋊C4—594no—
1374C4⋊C4—594no—
1375C4⋊C4—598no—
1376C4⋊C4—598no—
1377C4⋊C4—594no—
1378C4⋊C4—594no—
1379C4⋊C4—594no—
1380C4⋊C4—594no—
1381C4⋊C4—594no—
1382C4⋊C4—592no—
1383C4⋊C4—592no—
1384C4⋊C4—598no—
1385C4⋊C4—598no—
1386C4⋊C4—598no—
1387C4⋊C4—598no—
1388C4⋊C4—598no—
1389C4⋊C4—598no—
1390C4⋊C4—594no—
1391C4⋊C4—594no—
1392C4⋊C4—594no—
1393C4⋊C4—594no—
1394C4⋊C4—598no—
1395C4⋊C4—598no—
1396C4⋊C4—598no—
1397C4⋊C4—598no—
1398C4⋊C4—598no—
1399C4⋊C4—598no—
1400C4⋊C4—598no—
1401C4⋊C4C23×D5912yes—
1402C4⋊C4C23×D5912yes—
1403C4⋊C4C23×D5914yes—
1404C4⋊C4C23×D5912yes—
1405C4⋊C4C23×D5912yes—
1406C4⋊C4C23×D5912yes—
1407C4⋊C4C23×D5912yes—
1408C4⋊C4C23×D5914yes—
1409C4⋊C4C23×D5914yes—
1410C4⋊C4C23×D5914yes—
1411C4⋊C4C23×D5914yes—
1412C4⋊C4C23×D5914yes—
1413C22⋊C4—598no—
1414C22⋊C4—594no—
1415C22⋊C4—598no—
1416C22⋊C4—594no—
1417C22⋊C4—598no—
1418C22⋊C4—598no—
1419C22⋊C4—598no—
1420C22⋊C4—598no—
1421C22⋊C4—594no—
1422C22⋊C4—594no—
1423C22⋊C4—594no—
1424C22⋊C4—594no—
1425C22⋊C4—598no—
1426C22⋊C4—598no—
1427C22⋊C4—594no—
1428C22⋊C4—594no—
1429C22⋊C4—594no—
1430C22⋊C4—594no—
1431C22⋊C4—598no—
1432C22⋊C4—598no—
1433C22⋊C4C23×D5914yes—
1434C22⋊C4C23×D5914yes—
1435C22⋊C4C23×D5914yes—
1436C22⋊C4C23×D5914yes—
1437C22⋊C4C23×D5914yes—
1438C22⋊C4C23×D5914yes—
1439C22⋊C4C23×D5914yes—
1440C22⋊C4C23×D5914yes—
1441C22⋊C4C23×D5914yes—
1442C42—598no—
1443C42—598no—
1444C42—594no—
1445C42—598no—
1446C42—598no—
1447C42—598no—
1448C42—594no—
1449C42—598no—
1450C42C23×D5911yescharacteristic
1451C42C23×D5911yescharacteristic
1452C42C23×D5911yescharacteristic
1453C42C23×D5911yescharacteristic
1454C42C23×D5911yescharacteristic
1455C42C23×D5911yescharacteristic
1456C42C23×D5911yescharacteristic
1457C42C23×D5911yescharacteristic
1458C42C23×D5911yescharacteristic
1459C42C23×D5911yescharacteristic
1460C42C23×D5911yescharacteristic
1461C42C23×D5911yescharacteristic
1462C42C23×D5914yes—
1463C42C23×D5914yes—
1464C42C23×D5914yes—
1465C42C23×D5911yescharacteristic
1466C42C23×D5911yescharacteristic
1467C42C23×D5911yescharacteristic
1468C42C23×D5911yescharacteristic
1469C23—22no—
1470C23—22no—
1471C23—41no—
1472C23—594no—
1473C23—1184no—
1474C23—2362no—
1475C23—2362no—
1476C23C24×D5911yescharacteristic
1477C23C24×D5914yes—
1478C23C24×D5911yescharacteristic
1479C23C24×D5911yescharacteristic
1480Q8—24no—
1481Q8—42no—
1482Q8—42no—
1483Q8—1184no—
1484Q8—1188no—
1485Q8—2362no—
1486Q8—2364no—
1487Q8—2364no—
1488Q8—2364no—
1489Q8—2368no—
1490Q8—2368no—
1491D4—28no—
1492D4—28no—
1493D4—24no—
1494D4—42no—
1495D4—42no—
1496D4—44no—
1497D4—1188no—
1498D4—1184no—
1499D4—2362no—
1500D4—2364no—
1501D4—2368no—
1502D4—2368no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—28no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—28no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—44no—
1523C2×C4—594no—
1524C2×C4—594no—
1525C2×C4—598no—
1526C2×C4—598no—
1527C2×C4—594no—
1528C2×C4—1184no—
1529C2×C4—1188no—
1530C2×C4—1188no—
1531C2×C4—1188no—
1532C2×C4—2368no—
1533C2×C4—2368no—
1534C2×C4—2362no—
1535C2×C4—2364no—
1536C2×C4—2368no—
1537C2×C4—2362no—
1538C2×C4—2368no—
1539C2×C4#1427377414yes—
1540C2×C4C24×D5911yescharacteristic
1541C2×C4C24×D5914yes—
1542C2×C4C24×D5914yes—
1543C2×C4C24×D5914yes—
1544C2×C4C24×D5911yescharacteristic
1545C2×C4C24×D5911yescharacteristic
1546C2×C4C24×D5911yescharacteristic
1547C2×C4C24×D5911yescharacteristic
1548C2×C4C24×D5911yescharacteristic
1549C2×C4C24×D5911yescharacteristic
1550C2×C4C24×D5911yescharacteristic
1551C2×C4C24×D5911yescharacteristic
1552C2×C4C24×D5911yescharacteristic
1553C2×C4C24×D5911yescharacteristic
1554C2×C4C24×D5911yescharacteristic
1555C22—21no—
1556C22—21no—
1557C22—21no—
1558C22—21no—
1559C22—21no—
1560C22—24no—
1561C22—21no—
1562C22—24no—
1563C22—21no—
1564C22—24no—
1565C22—44no—
1566C22—1184no—
1567C22—1184no—
1568C22—1184no—
1569C22—4724no—
1570C22C2×#1427377412yes—
1571C22#1683823812yes—
1572C22C25×D5911yescharacteristic
1573C4—21no—
1574C4—21no—
1575C4—24no—
1576C4—21no—
1577C4—21no—
1578C4—21no—
1579C4—21no—
1580C4—21no—
1581C4—21no—
1582C4—21no—
1583C4—24no—
1584C4—24no—
1585C4—1184no—
1586C4—1188no—
1587C4—1184no—
1588C4—1188no—
1589C4—1184no—
1590C4C2×#1427377412yes—
1591C4C2×#1427377412yes—
1592C4#1683823812yes—
1593C2—22no—
1594C2—22no—
1595C2—41no—
1596C2—44no—
1597C2—2364no—
1598C2C22×#1427377411yescharacteristic
1599C2C2×#1683823811yescharacteristic
1600C2C2×#1683823811yescharacteristic
subgroupG/H
centerC2×C4C24×D59
commutator, socle, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC59×#3444C2
hypercenter#3444D59
hypocenterC59#62752
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #21438733C2semidirect
2. #21438714C2semidirect
3. #21438706C2semidirect
4. #21438699C2semidirect
5. #21438666C2semidirect
6. #21438634C2semidirect
7. #21438584C2semidirect
8. #21438541C2semidirect
9. #21438485C2semidirect
10. #21438436C2semidirect
11. #21438345C2semidirect
12. #21438323C2semidirect
13. #21438299C2semidirect
14. #21438241C2semidirect
15. #21437711C2semidirect
16. #41×Dic118C2semidirect
17. #21437660C2semidirect
18. #21437656C2semidirect
19. #21437525C2semidirect
20. #21437523C2semidirect
21. #21437499C2semidirect
22. #21437485C2semidirect
23. C2×#16837959C2semidirect
24. C2×#16837936C2semidirect
25. C59×#3444C2semidirect
26. C59⋊#564C22semidirect
27. #16838156C22semidirect
28. #16838155C22semidirect
29. #16838154C22semidirect
30. #16838154C22semidirect
31. #16838153C22semidirect
32. #16838152C22semidirect
34. #16838147C22semidirect
35. #16838146C22semidirect
36. Q8×Dic118C22semidirect
37. #16838131C22semidirect
38. #16838130C22semidirect
39. #16838128C22semidirect
40. #16838125C22semidirect
41. #16838125C22semidirect
42. #16838123C22semidirect
43. #16838120C22semidirect
44. #16838117C22semidirect
45. #16838116C22semidirect
46. #16838112C22semidirect
48. #16838111C22semidirect
49. #16838110C22semidirect
51. #16838109C22semidirect
52. #16838104C22semidirect
53. #16838102C22semidirect
54. #16838099C22semidirect
55. #16838094C22semidirect
56. #16838093C22semidirect
58. #16838092C22semidirect
59. #16838092C22semidirect
61. #16838086C22semidirect
62. #16838085C22semidirect
63. #16838085C22semidirect
68. D4×Dic118C22semidirect
69. D4×Dic118C22semidirect
71. #16838061C22semidirect
72. #16838057C22semidirect
74. #16838052C22semidirect
75. #16838051C22semidirect
78. #16838032C22semidirect
79. #16838032C22semidirect
82. #16838031C22semidirect
83. #16838030C22semidirect
84. #16838029C22semidirect
85. #16838029C22semidirect
89. #16838023C22semidirect
90. #16838021C22semidirect
91. #16838021C22semidirect
92. #16838018C22semidirect
93. #16838017C22semidirect
94. #16838016C22semidirect
95. #16838014C22semidirect
96. #16838014C22semidirect
97. #16838013C22semidirect
98. #16838011C22semidirect
99. #16838010C22semidirect
100. #16838009C22semidirect
101. #16838006C22semidirect
105. #16837997C22semidirect
106. #16837996C22semidirect
107. #16837994C22semidirect
108. #16837994C22semidirect
113. #16837978C22semidirect
114. #16837974C22semidirect
115. #16837973C22semidirect
120. #16837959C22semidirect
121. #16837959C22semidirect
122. #16837959C22semidirect
123. #16837959C22semidirect
124. #16837959C22semidirect
125. #16837956C22semidirect
126. #16837956C22semidirect
128. #16837955C22semidirect
129. C2×#14273727C22semidirect
130. C2×#14273727C22semidirect
139. #16837936C22semidirect
140. #16837934C22semidirect
141. #16837932C22semidirect
142. #16837932C22semidirect
143. #16837932C22semidirect
144. #16837932C22semidirect
145. #16837930C22semidirect
148. C2×#14273719C22semidirect
157. C4×#11745685C22semidirect
158. C4×#11745687C22semidirect
160. C2×C4×Dic118C22semidirect
161. C2×C4×Dic118C22semidirect
162. C2×C4×Dic118C22semidirect
169. C59×#533C22semidirect
170. C59×#533C22semidirect
172. C59×#532C22semidirect
173. C59×#532C22semidirect
176. C59×#529C22semidirect
177. C59×#529C22semidirect
178. C59×#529C22semidirect
179. C59×#529C22semidirect
184. C4×#41×C59C22semidirect
185. C4×#41×C59C22semidirect
815. #3444D59semidirect
930. #533C2×D59semidirect
931. #533C2×D59semidirect
933. #532C2×D59semidirect
934. #532C2×D59semidirect
954. #529C2×D59semidirect
955. #529C2×D59semidirect
956. #529C2×D59semidirect
957. #529C2×D59semidirect
975. C4×#41C2×D59semidirect
976. C4×#41C2×D59semidirect
987. C59#62752semidirect

Maximal subgroups

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

subgroupindex
#214387332
#214387142
#214387062
#214386992
#214386662
#214386342
#214385842
#214385412
#214384852
#214384362
#214383452
#214383232
#214382992
#214382412
#214377112
#41×Dic1182
#214376602
#214376562
#214375252
#214375232
#214374992
#214374852
C2×#168379592
C2×#168379362
C59×#34442
#6275259