Finite Group Databasebeta

← #29496847

Subgroups — #29496847

Order 15104.

7230 conjugacy classes of subgroups.

The subgroup lattice has 1778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438171C214yesmaximal, complemented
2#21438163C214yesmaximal, complemented
3#21438077C212yesmaximal, complemented
4#21438073C212yesmaximal, complemented
5#21438060C212yesmaximal, complemented
6#21438056C212yesmaximal, complemented
7#21437961C211yesmaximal, characteristic, complemented
8#21437931C214yesmaximal, complemented
9#21437897C211yesmaximal, characteristic, complemented
10#21437858C211yesmaximal, characteristic, complemented
11#21437809C212yesmaximal, complemented
12#21437790C214yesmaximal, complemented
13#21437739C212yesmaximal, complemented
14#21437716C212yesmaximal, complemented
15#21437715C212yesmaximal, complemented
16#21437707C212yesmaximal, complemented
17#21437705C212yesmaximal, complemented
18#21437661C214yesmaximal, complemented
19#21437657C214yesmaximal, complemented
20#21437520C212yesmaximal, complemented
21#21437504C214yesmaximal, complemented
22#21437393C211yesmaximal, characteristic, complemented
23#21437391C211yesmaximal, characteristic, complemented
24#529×D59C214yesmaximal, complemented
25#21437302C212yesmaximal, complemented
26C2×C4×#11745689C211yesmaximal, characteristic, complemented
27C59×#3507C211yesmaximal, characteristic, complemented
28C2×#14273773C2212yes—
29C22×#11745689C2211yescharacteristic
30#16838137C2212yescomplemented
31#16838130C2212yescomplemented
32#16838125C2212yescomplemented
33#16838125C2214yescomplemented
34#16838124C2214yescomplemented
35#16838120C2214yescomplemented
36#16838117C2214yescomplemented
37#16838115C2214yescomplemented
38#16838113C2212yescomplemented
39#16838112C2212yescomplemented
40#16838112C2212yescomplemented
41#16838112C2214yescomplemented
42#16838108C2214yescomplemented
43#16838105C2214yescomplemented
44#16838103C2218yescomplemented
45#16838102C2214yescomplemented
46#16838102C2214yescomplemented
47#16838100C2214yescomplemented
48#16838096C2218yescomplemented
49#16838093C2214yescomplemented
50#16838093C2214yescomplemented
51#16838093C2214yescomplemented
52#16838090C2218yescomplemented
53#16838090C2214yescomplemented
54#16838088C2218yescomplemented
55#16838087C2214yescomplemented
56#16838086C2218yescomplemented
57#16838084C2218yescomplemented
58#16838080C2218yescomplemented
59#16838079C2218yescomplemented
60#16838077C2218yescomplemented
61#16838077C2218yescomplemented
62#16838076C2218yescomplemented
63#16838075C2218yescomplemented
64Q8×D236C2212yescomplemented
65#16838067C2212yescomplemented
66#16838064C2214yescomplemented
67#16838060C2214yescomplemented
68#16838057C2212yescomplemented
69#16838055C2214yescomplemented
70#16838055C2212yescomplemented
71#16838055C2214yescomplemented
72#16838054C2214yescomplemented
73#16838054C2214yescomplemented
74#16838048C2214yescomplemented
75#16838047C2214yescomplemented
76#16838045C2214yescomplemented
77#16838045C2214yescomplemented
78#16838045C2214yescomplemented
79#16838045C2214yescomplemented
80#16838043C2214yescomplemented
81#16838043C2214yescomplemented
82D4×D236C2212yescomplemented
83#16838037C2212yescomplemented
84#16838030C2212yescomplemented
85#16838027C2214yescomplemented
86#16838025C2214yescomplemented
87#16838021C2214yescomplemented
88#16838013C2214yescomplemented
89#16838012C2214yescomplemented
90#16838000C2218yescomplemented
91#16837999C2214yescomplemented
92#16837998C2218yescomplemented
93#16837996C2218yescomplemented
94#16837991C2218yescomplemented
95#16837988C2218yescomplemented
96#16837985C2218yescomplemented
97#16837980C2212yes—
98#16837976C2212yescomplemented
99#16837963C2218yescomplemented
100#16837960C2214yes—
101#16837959C2211yescharacteristic, complemented
102#16837957C2211yescharacteristic, complemented
103#16837957C2211yescharacteristic, complemented
104#16837957C2214yescomplemented
105#16837957C2211yescharacteristic, complemented
106#16837957C2211yescharacteristic, complemented
107#16837954C2214yescomplemented
108#16837953C2211yescharacteristic, complemented
109#16837953C2211yescharacteristic, complemented
110#16837952C2211yescharacteristic
111#16837950C2211yescharacteristic, complemented
112#16837950C2211yescharacteristic, complemented
113#16837939C2212yescomplemented
114#16837939C2214yescomplemented
115#16837939C2212yescomplemented
116#16837938C2214yescomplemented
117#16837938C2212yescomplemented
118#16837938C2212yescomplemented
119#16837937C2214yescomplemented
120#16837937C2218yescomplemented
121#16837937C2212yescomplemented
122#16837937C2212yescomplemented
123#16837936C2214yescomplemented
124#16837935C2218yescomplemented
125#16837935C2218yescomplemented
126#16837934C2214yescomplemented
127#16837934C2212yescomplemented
128#16837934C2212yescomplemented
129#16837933C2212yescomplemented
130#16837933C2212yescomplemented
131#16837932C2218yescomplemented
132#16837931C2214yescomplemented
133#16837931C2214yescomplemented
134#16837931C2212yescomplemented
135#16837931C2212yescomplemented
136#16837930C2218yescomplemented
137#16837929C2218yescomplemented
138#126×D59C2218yescomplemented
139#125×D59C2214yescomplemented
140#124×D59C2214yescomplemented
141#16837915C2218yescomplemented
142#16837915C2212yescomplemented
143#16837915C2212yescomplemented
144#16837914C2212yescomplemented
145#16837912C2212yescomplemented
146#16837912C2212yescomplemented
147#16837910C2218yescomplemented
148#16837909C2212yescomplemented
149#123×D59C2218yescomplemented
150C22⋊Q8×D59C2214yescomplemented
151#121×D59C2214yes—
152#16837884C2214yescomplemented
153#16837883C2212yescomplemented
154#16837883C2214yescomplemented
155#16837876C2212yes—
156#16837876C2214yescomplemented
157#16837874C2218yescomplemented
158#16837874C2214yescomplemented
159#41×Dic59C2212yescomplemented
160C4×#11745689C2212yescomplemented
161C4×#11745689C2212yescomplemented
162C4×#11745689C2212yescomplemented
163C4×#11745689C2214yescomplemented
164C4×#11745689C2212yescomplemented
165C4×#11745689C2212yescomplemented
166C4×#11745689C2212yescomplemented
167C4×#11745689C2212yescomplemented
168C4×#11745689C2212yescomplemented
169C4×#11745689C2212yescomplemented
170C4×#11745689C2212yescomplemented
171#16837870C2214yescomplemented
172#16837870C2212yescomplemented
173C4×#11745687C2212yescomplemented
174C4×#11745687C2212yescomplemented
175C2×Q8×Dic59C2211yescharacteristic, complemented
176C4×Q8×D59C2214yescomplemented
177C2×C4×D236C2211yescharacteristic
178C2×C4×D236C2212yescomplemented
179C2×#14273689C2211yescharacteristic
180C2×#14273689C2214yescomplemented
181C2×#14273689C2212yescomplemented
182C4×D4×D59C2214yescomplemented
183C4×D4×D59C2214yescomplemented
184C4×D4×D59C2218yescomplemented
185C2×#14273685C2212yescomplemented
186C2×#14273685C2211yescharacteristic, complemented
187#117×D59C2218yescomplemented
188C2×C42×D59C2212yescomplemented
189C2×C42×D59C2211yescharacteristic, complemented
190C59×#559C2212yescomplemented
191C59×#557C2212yescomplemented
192C59×#556C2212yescomplemented
193C59×#556C2214yescomplemented
194C59×#554C2212yescomplemented
195C59×#552C2214yescomplemented
196C59×#539C2214yescomplemented
197C59×#536C2212yescomplemented
198C59×#533C2211yescharacteristic, complemented
199C59×#532C2211yescharacteristic
200C59×#529C2214yescomplemented
201C59×#520C2212yescomplemented
202C2×C4×Q8×C59C2211yescharacteristic, complemented
203#14273773—216no—
204C2×#11745689—28no—
205C2×#11745689C2312yes—
206C2×#11745689C2312yes—
207C2×#11745689C2312yes—
208C2×#11745689C2312yes—
209C2×#11745689C2314yes—
210C2×#11745689C2312yes—
211C2×#11745689C2312yes—
212C2×#11745685C2312yes—
213C2×#11745685C2314yes—
214C2×#11745687C2312yes—
215C2×#11745687C2312yes—
216C2×Q8×D59C2314yes—
217C22×D236C2312yes—
218C22×D236C2314yes—
219C22×D236C2311yescharacteristic
220C2×D4×D59C2318yes—
221C2×D4×D59C2314yes—
222C2×D4×D59C2314yes—
223C22×C4×D59C2312yes—
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2312yes—
226C22×C4×D59C2318yes—
227C22×C4×D59C2311yescharacteristic
228C22×C4×D59C2311yescharacteristic
229C22×C4×D59C2312yes—
230#14273727C2311yescharacteristic
231#14273727C2311yescharacteristic
232#14273727C2311yescharacteristic
233#14273727C2314yes—
234#14273726C2314yes—
235#14273725C2314yes—
236#14273724C2311yescharacteristic
237#14273722C2314yes—
238#14273722C2318yes—
239#14273722C2318yes—
240#14273722C2314yes—
241#14273722C2318yes—
242#14273722C2318yes—
243#14273722C2318yes—
244#14273721C2318yes—
245#14273721C2318yes—
246#14273720C2314yes—
247#14273720C2318yes—
248#14273720C2318yes—
249#14273720C2314yes—
250#14273720C2318yes—
251#14273719C2314yes—
252#14273719C2312yes—
253#14273719C2314yes—
254#14273718C2312yes—
255#14273718C2312yes—
256#14273718C2312yes—
257#14273718C2312yes—
258#14273718C2314yes—
259#14273718C2318yes—
260#14273717C2318yes—
261#14273717C2318yes—
262#14273717C2318yes—
263#14273717C2318yes—
264#14273716C2312yes—
265#14273716C2312yes—
266#14273716C2314yes—
267#14273715C2314yes—
268#14273715C2312yes—
269#14273715C2318yes—
270#14273714C2312yes—
271#14273714C2312yes—
272#14273713C2318yes—
273#14273713C2318yes—
274#14273713C2318yes—
275#14273712C2318yes—
276#14273712C2318yes—
277#14273712C2314yes—
278#14273712C2314yes—
279#14273712C2318yes—
280#14273712C2318yes—
281#14273712C2318yes—
282#14273712C2318yes—
283#14273712C2318yes—
284#14273711C2314yes—
285#14273711C2318yes—
286#14273710C2318yes—
287#14273710C2318yes—
288#14273709C2318yes—
289#14273709C2318yes—
290#14273709C2314yes—
291#14273709C2314yes—
292#14273709C2318yes—
293#14273709C2318yes—
294#14273708C2314yes—
295#14273707C2314yes—
296#14273707C2312yes—
297#14273707C2312yes—
298#14273707C2312yes—
299#14273707C2312yes—
300#14273707C2318yes—
301#14273707C2318yes—
302#14273706C2312yes—
303#14273706C2312yes—
304#14273706C2314yes—
305#14273705C2318yes—
306#14273705C2318yes—
307#14273705C2318yes—
308#14273705C2318yes—
309#14273704C2318yes—
310#14273704C2318yes—
311#14273703C2314yes—
312#14273703C2312yes—
313#14273703C2312yes—
314#14273703C2312yes—
315#14273703C2312yes—
316#14273703C2318yes—
317#14273703C2314yes—
318#14273703C2314yes—
319#14273703C2314yes—
320#14273702C2314yes—
321#14273702C2312yes—
322#14273702C2312yes—
323#14273702C2312yes—
324#14273702C2312yes—
325#14273702C2318yes—
326#14273702C2318yes—
327#14273701C2312yes—
328#14273701C2312yes—
329#14273701C2318yes—
330#14273701C2314yes—
331#14273700C2318yes—
332#14273700C2318yes—
333#14273700C2318yes—
334#14273700C2318yes—
335#14273699C2318yes—
336#14273698C2314yes—
337#14273698C2312yes—
338#14273698C2312yes—
339#14273698C2312yes—
340#14273698C2312yes—
341#14273698C2314yes—
342#14273697C2318yes—
343#14273697C2314yes—
344#14273697C2318yes—
345#14273697C2318yes—
346#14273695C2314yes—
347#14273695C2318yes—
348Q8×Dic59C2312yes—
349Q8×Dic59C2312yes—
350Q8×Dic59C2312yes—
351Q8×Dic59C2312yes—
352Q8×Dic59C2312yes—
353Q8×Dic59C2312yes—
354Q8×Dic59C2312yes—
355Q8×Dic59C2312yes—
356C4×Dic118C2318yes—
357C4×Dic118C2314yes—
358C4×Dic118C2312yes—
359C4×Dic118C2312yes—
360#14273692C2318yes—
361#14273692C2312yes—
362#14273692C2312yes—
363#14273692C2312yes—
364#14273692C2312yes—
365#14273692C2314yes—
366C4×D236C2314yes—
367C4×D236C2314yes—
368C4×D236C2318yes—
369C4×D236C2314yes—
370C4×D236C2312yes—
371C4×D236C2312yes—
372C4×D236C2312yes—
373C4×D236C2312yes—
374C4×D236C2312yes—
375C4×D236C2314yes—
376C4×D236C2314yes—
377C4×D236C2314yes—
378C4×D236C2314yes—
379C4×D236C2312yes—
380C4×D236C2318yes—
381C4×D236C2314yes—
382C4×D236C2314yes—
383D4×Dic59C2314yes—
384D4×Dic59C2314yes—
385D4×Dic59C2312yes—
386D4×Dic59C2312yes—
387D4×Dic59C2312yes—
388D4×Dic59C2312yes—
389#14273689C2314yes—
390#14273689C2314yes—
391#14273689C2314yes—
392#14273689C2318yes—
393#14273689C2314yes—
394#14273689C2312yes—
395#14273689C2312yes—
396#14273689C2312yes—
397#14273689C2312yes—
398#14273689C2314yes—
399#14273689C2314yes—
400#14273689C2314yes—
401#14273689C2314yes—
402#14273689C2318yes—
403#14273689C2314yes—
404#14273689C2312yes—
405#14273689C2312yes—
406#14273689C2312yes—
407#14273689C2312yes—
408C4×C22⋊D59C2314yes—
409C4×C22⋊D59C2314yes—
410C4×C22⋊D59C2318yes—
411C4×C22⋊D59C2318yes—
412C4×C22⋊D59C2318yes—
413C4×C22⋊D59C2318yes—
414(C22⋊D59)⋊C4C2318yes—
415(C22⋊D59)⋊C4C2318yes—
416(C22⋊D59)⋊C4C2314yes—
417(C22⋊D59)⋊C4C2314yes—
418(C22⋊D59)⋊C4C2314yes—
419(C22⋊D59)⋊C4C2314yes—
420(C22⋊D59)⋊C4C2318yes—
421#14273686C2312yes—
422#14273686C2318yes—
423#14273686C2314yes—
424#14273685C2312yes—
425#14273685C2312yes—
426#14273685C2318yes—
427#14273685C2312yes—
428#14273685C2312yes—
429#14273685C2314yes—
430#14273685C2314yes—
431#14273685C2314yes—
432#14273685C2314yes—
433#14273685C2318yes—
434#14273685C2314yes—
435#14273685C2314yes—
436#14273685C2312yes—
437#14273685C2312yes—
438#14273685C2314yes—
439#14273685C2312yes—
440#14273685C2312yes—
441#14273684C2318yes—
442#14273684C2318yes—
443#14273684C2314yes—
444#14273684C2318yes—
445#14273683C2318yes—
446#14273683C2314yes—
447#14273683C2314yes—
448C2×C4⋊Dic59C2311yescharacteristic
449C2×C4⋊Dic59C2312yes—
450C4⋊C4×D59C2314yes—
451C4⋊C4×D59C2314yes—
452C4⋊C4×D59C2318yes—
453C4⋊C4×D59C2318yes—
454C4⋊C4×D59C2318yes—
455C4⋊C4×D59C2318yes—
456C4⋊C4×D59C2314yes—
457C2×(C2×D59)⋊C4C2312yes—
458C2×(C2×D59)⋊C4C2312yes—
459C2×(C2×D59)⋊C4C2318yes—
460C2×(C2×D59)⋊C4C2312yes—
461C22⋊C4×D59C2318yes—
462C22⋊C4×D59C2318yes—
463C22⋊C4×D59C2318yes—
464C22⋊C4×D59C2318yes—
465C22⋊C4×D59C2318yes—
466C22⋊C4×D59C2318yes—
467C2×C4×Dic59C2312yes—
468C2×C4×Dic59C2312yes—
469C2×C4×Dic59C2311yescharacteristic
470C2×C4×Dic59C2311yescharacteristic
471C2×C4×Dic59C2314yes—
472C2×C4×Dic59C2311yescharacteristic
473C42×D59C2314yes—
474C42×D59C2314yes—
475C42×D59C2311yescharacteristic
476C42×D59C2311yescharacteristic
477C42×D59C2314yes—
478C42×D59C2314yes—
479C42×D59C2311yescharacteristic
480C42×D59C2311yescharacteristic
481C42×D59C2314yes—
482C42×D59C2318yes—
483C42×D59C2311yescharacteristic
484C42×D59C2311yescharacteristic
485C42×D59C2311yescharacteristic
486C42×D59C2311yescharacteristic
487C2×#41×C59C2312yes—
488C22×Q8×C59C2311yescharacteristic
489C4⋊Q8×C59C2311yescharacteristic
490C4⋊Q8×C59C2311yescharacteristic
491C4⋊Q8×C59C2311yescharacteristic
492C4⋊Q8×C59C2314yes—
493#127×C59C2311yescharacteristic
494#126×C59C2318yes—
495#126×C59C2318yes—
496#125×C59C2314yes—
497#125×C59C2312yes—
498#125×C59C2318yes—
499#124×C59C2314yes—
500#124×C59C2312yes—
501#124×C59C2314yes—
502#123×C59C2318yes—
503#123×C59C2318yes—
504C22⋊Q8×C59C2312yes—
505C22⋊Q8×C59C2312yes—
506C22⋊Q8×C59C2318yes—
507C22⋊Q8×C59C2314yes—
508C22⋊Q8×C59C2314yes—
509#121×C59C2312yes—
510#121×C59C2312yes—
511C4×Q8×C59C2314yes—
512C4×Q8×C59C2312yes—
513C4×Q8×C59C2312yes—
514C4×Q8×C59C2312yes—
515C4×Q8×C59C2312yes—
516C4×Q8×C59C2312yes—
517C4×Q8×C59C2312yes—
518C4×Q8×C59C2314yes—
519C4×D4×C59C2318yes—
520C4×D4×C59C2312yes—
521C4×D4×C59C2314yes—
522C4×D4×C59C2312yes—
523C4×D4×C59C2314yes—
524#117×C59C2312yes—
525#117×C59C2318yes—
526#117×C59C2314yes—
527C2×C4⋊C4×C59C2312yes—
528C2×C4⋊C4×C59C2311yescharacteristic
529C2×C4⋊C4×C59C2314yes—
530C2×C42×C59C2312yes—
531C2×C42×C59C2311yescharacteristic
532C23×D59C2418yes—
533C23×D59C2411yescharacteristic
534C23×D59C2412yes—
535#41×C59—28no—
536C2×Q8×C59—24no—
537C2×Q8×C59C2412yes—
538C2×Q8×C59C2412yes—
539C2×Q8×C59C2412yes—
540C2×Q8×C59C2412yes—
541C2×Q8×C59C2412yes—
542C2×D4×C59C2412yes—
543C2×D4×C59C2414yes—
544C2×D4×C59C2412yes—
545C2×D4×C59C2412yes—
546C22×C4×C59C2411yescharacteristic
547C22×C4×C59C2412yes—
548C22×C4×C59C2414yes—
549C22×C4×C59C2412yes—
550C22×C4×C59C2411yescharacteristic
551C22×C4×C59C2418yes—
552C22×C4×C59C2411yescharacteristic
553C2×C22⋊D59C2418yes—
554C2×C22⋊D59C2414yes—
555C2×C22⋊D59C2414yes—
556C2×C22⋊D59C2414yes—
557C2×C22⋊D59C2418yes—
558C22×Dic59C2411yescharacteristic
559C22×Dic59C2411yescharacteristic
560C22×Dic59C2414yes—
561C22×Dic59C2411yescharacteristic
562C22×Dic59C2412yes—
563C22×Dic59C2414yes—
564#11745689—28no—
565#11745689—28no—
566#11745689—28no—
567#11745689—28no—
568#11745689—216no—
569#11745689—44no—
570#11745689—44no—
571Q8×D59—48no—
572#11745687—44no—
573#11745687—44no—
574D4×D59—232no—
575D4×D59—216no—
576D4×D59—48no—
577#11745685—28no—
578#11745685—216no—
579C2×D236—28no—
580C2×D236—216no—
581C2×D236#4118yescomplemented
582C2×D236C2412yes—
583C2×D236C2414yes—
584C2×D236C2414yes—
585C2×D236C2418yes—
586C2×D236C2412yes—
587C2×D236C2412yes—
588C2×D236C2414yes—
589C2×D236C2414yes—
590C2×D236C2412yes—
591C2×D236C2412yes—
592C2×C4×D59—28no—
593C2×C4×D59—24no—
594C2×C4×D59—44no—
595C2×C4×D59—416no—
596C2×C4×D59—42no—
597C2×C4×D59—44no—
598C2×C4×D59—42no—
599C2×C4×D59C2414yes—
600C2×C4×D59C2414yes—
601C2×C4×D59C2414yes—
602C2×C4×D59C2414yes—
603C2×C4×D59C2411yescharacteristic
604C2×C4×D59C2411yescharacteristic
605C2×C4×D59C2411yescharacteristic
606C2×C4×D59C2411yescharacteristic
607C2×C4×D59C2411yescharacteristic
608C2×C4×D59C2411yescharacteristic
609C2×C4×D59C2411yescharacteristic
610C2×C4×D59C2411yescharacteristic
611C2×C4×D59C2418yes—
612C2×C4×D59C2414yes—
613C2×C4×D59C2414yes—
614C2×C4×D59C2414yes—
615C2×C4×D59C2414yes—
616C2×C4×D59C2411yescharacteristic
617C2×C4×D59C2411yescharacteristic
618C2×C4×D59C2411yescharacteristic
619C2×C4×D59C2411yescharacteristic
620C2×C4×D59C2418yes—
621C2×C4×D59C2414yes—
622C2×C4×D59C2418yes—
623C2×C4×D59C2418yes—
624C2×Dic118C2412yes—
625C2×Dic118C2412yes—
626C2×Dic118C2418yes—
627C2×Dic118C2412yes—
628C4⋊C4×C59C2412yes—
629C4⋊C4×C59C2412yes—
630C4⋊C4×C59C2412yes—
631C4⋊C4×C59C2418yes—
632C4⋊C4×C59C2414yes—
633C4⋊C4×C59C2414yes—
634C4⋊C4×C59C2412yes—
635C4⋊C4×C59C2414yes—
636C4⋊C4×C59C2418yes—
637C4⋊C4×C59C2412yes—
638C4⋊C4×C59C2412yes—
639C4⋊C4×C59C2412yes—
640C4⋊C4×C59C2414yes—
641C4⋊C4×C59C2418yes—
642C4⋊C4×C59C2412yes—
643C22⋊C4×C59C2414yes—
644C22⋊C4×C59C2414yes—
645C22⋊C4×C59C2418yes—
646C22⋊C4×C59C2418yes—
647C22⋊C4×C59C2414yes—
648C22⋊C4×C59C2418yes—
649C42×C59C2414yes—
650C42×C59C2411yescharacteristic
651C42×C59C2411yescharacteristic
652C42×C59C2414yes—
653C42×C59C2411yescharacteristic
654C42×C59C2411yescharacteristic
655C42×C59C2418yes—
656C42×C59C2414yes—
657C22⋊Dic59C2414yes—
658C22⋊Dic59C2414yes—
659C22⋊Dic59C2414yes—
660C22⋊Dic59C2414yes—
661C22⋊Dic59C2414yes—
662C22⋊Dic59C2418yes—
663(C2×D59)⋊C4C2414yes—
664(C2×D59)⋊C4C2414yes—
665(C2×D59)⋊C4C2414yes—
666(C2×D59)⋊C4C2418yes—
667(C2×D59)⋊C4C2414yes—
668(C2×D59)⋊C4C2414yes—
669(C2×D59)⋊C4C2418yes—
670(C2×D59)⋊C4C2418yes—
671(C2×D59)⋊C4C2418yes—
672(C2×D59)⋊C4C2418yes—
673(C2×D59)⋊C4C2418yes—
674(C2×D59)⋊C4C2414yes—
675(C2×D59)⋊C4C2414yes—
676(C2×D59)⋊C4C2414yes—
677(C2×D59)⋊C4C2414yes—
678(C2×D59)⋊C4C2414yes—
679(C2×D59)⋊C4C2414yes—
680(C2×D59)⋊C4C2414yes—
681(C2×D59)⋊C4C2414yes—
682(C2×D59)⋊C4C2414yes—
683(C2×D59)⋊C4C2414yes—
684(C2×D59)⋊C4C2414yes—
685C4⋊Dic59C2414yes—
686C4⋊Dic59C2412yes—
687C4⋊Dic59C2412yes—
688C4⋊Dic59C2414yes—
689C4⋊Dic59C2412yes—
690C4⋊Dic59C2414yes—
691C4⋊Dic59C2418yes—
692C4⋊Dic59C2412yes—
693C4⋊Dic59C2412yes—
694C4⋊Dic59C2414yes—
695C4⋊Dic59C2414yes—
696C4⋊Dic59C2412yes—
697C4⋊Dic59C2414yes—
698C4⋊Dic59C2412yes—
699C4⋊Dic59C2412yes—
700Dic59⋊C4C2414yes—
701Dic59⋊C4C2414yes—
702Dic59⋊C4C2414yes—
703Dic59⋊C4C2414yes—
704Dic59⋊C4C2418yes—
705Dic59⋊C4C2418yes—
706Dic59⋊C4C2418yes—
707Dic59⋊C4C2418yes—
708Dic59⋊C4C2418yes—
709Dic59⋊C4C2418yes—
710Dic59⋊C4C2414yes—
711Dic59⋊C4C2414yes—
712C4×Dic59C2411yescharacteristic
713C4×Dic59C2411yescharacteristic
714C4×Dic59C2411yescharacteristic
715C4×Dic59C2411yescharacteristic
716C4×Dic59C2411yescharacteristic
717C4×Dic59C2414yes—
718C4×Dic59C2411yescharacteristic
719C4×Dic59C2411yescharacteristic
720C4×Dic59C2414yes—
721C4×Dic59C2414yes—
722C4×Dic59C2411yescharacteristic
723C4×Dic59C2414yes—
724C4×Dic59C2411yescharacteristic
725C4×Dic59C2414yes—
726C4×Dic59C2411yescharacteristic
727C4×Dic59C2411yescharacteristic
728C4×Dic59C2411yescharacteristic
729C4×Dic59C2414yes—
730C4×Dic59C2418yes—
731C4×Dic59C2414yes—
732C4×Dic59C2414yes—
733C4×Dic59C2414yes—
734C23×C59C2514yes—
735C23×C59C2511yescharacteristic
736C22×D59—22no—
737C22×D59—216no—
738C22×D59—42no—
739C22×D59—42no—
740C22×D59—41no—
741C22×D59—41no—
742C22×D59—48no—
743C22×D59—48no—
744C22×D59C2×#4118yes—
745C22×D59C2514yes—
746C22×D59C2511yescharacteristic
747C22×D59C2511yescharacteristic
748C22×D59C2514yes—
749Q8×C59—24no—
750Q8×C59—24no—
751Q8×C59—24no—
752Q8×C59—24no—
753Q8×C59—42no—
754D4×C59—28no—
755D4×C59—24no—
756D4×C59—24no—
757D4×C59—42no—
758C2×C4×C59—24no—
759C2×C4×C59—28no—
760C2×C4×C59—22no—
761C2×C4×C59—41no—
762C2×C4×C59—42no—
763C2×C4×C59—48no—
764C2×C4×C59C2×#4114yes—
765C2×C4×C59C2514yes—
766C2×C4×C59C2514yes—
767C2×C4×C59C2511yescharacteristic
768C2×C4×C59C2514yes—
769C2×C4×C59C2511yescharacteristic
770C2×C4×C59C2511yescharacteristic
771C2×C4×C59C2514yes—
772C2×C4×C59C2514yes—
773C2×C4×C59C2511yescharacteristic
774C2×C4×C59C2511yescharacteristic
775C2×C4×C59C2511yescharacteristic
776C22⋊D59—28no—
777C22⋊D59—216no—
778C22⋊D59—48no—
779C22⋊D59—44no—
780C22⋊D59—44no—
781C2×Dic59—22no—
782C2×Dic59—22no—
783C2×Dic59—28no—
784C2×Dic59—42no—
785C2×Dic59—41no—
786C2×Dic59—44no—
787C2×Dic59C2511yescharacteristic
788C2×Dic59C2511yescharacteristic
789C2×Dic59C2511yescharacteristic
790C2×Dic59C2511yescharacteristic
791C2×Dic59C2511yescharacteristic
792C2×Dic59C2514yes—
793C2×Dic59C2514yes—
794C2×Dic59C2514yes—
795C2×Dic59C2514yes—
796C2×Dic59C2511yescharacteristic
797D236—216no—
798D236—28no—
799D236—28no—
800D236—24no—
801D236—24no—
802D236—44no—
803D236—44no—
804D236—42no—
805D236C2×#4118yes—
806D236C2×#4118yes—
807C4×D59—28no—
808C4×D59—28no—
809C4×D59—216no—
810C4×D59—22no—
811C4×D59—22no—
812C4×D59—22no—
813C4×D59—22no—
814C4×D59—28no—
815C4×D59—28no—
816C4×D59—22no—
817C4×D59—22no—
818C4×D59—28no—
819C4×D59—28no—
820C4×D59—22no—
821C4×D59—22no—
822C4×D59—44no—
823C4×D59—48no—
824C4×D59—48no—
825C4×D59—41no—
826C4×D59—41no—
827C4×D59—41no—
828C4×D59—44no—
829C4×D59—41no—
830C4×D59—48no—
831C4×D59—44no—
832Dic118—24no—
833Dic118—24no—
834Dic118—42no—
835Dic118—48no—
836#62781—591nomaximal, Sylow
837C22×C59—21no—
838C22×C59—21no—
839C22×C59—24no—
840C22×C59—24no—
841C22×C59—24no—
842C22×C59C22×#4112yes—
843C22×C59C2611yescharacteristic
844C2×D59—24no—
845C2×D59—24no—
846C2×D59—21no—
847C2×D59—21no—
848C2×D59—24no—
849C2×D59—24no—
850C2×D59—21no—
851C2×D59—21no—
852C2×D59—21no—
853C2×D59—21no—
854C2×D59—24no—
855C2×D59—48no—
856C2×D59—44no—
857C2×D59—816no—
858C2×D59C22×#4118yes—
859C4×C59—24no—
860C4×C59—24no—
861C4×C59—21no—
862C4×C59—24no—
863C4×C59—24no—
864C4×C59—24no—
865C4×C59—21no—
866C4×C59—21no—
867C4×C59C22×#4112yes—
868C4×C59C22×#4112yes—
869C4×C59#58512yes—
870Dic59—24no—
871Dic59—21no—
872Dic59—21no—
873Dic59—24no—
874Dic59—24no—
875Dic59—24no—
876Dic59—21no—
877Dic59—21no—
878Dic59—21no—
879Dic59#58512yes—
880#3521—594no—
881#3521—594no—
882#3515—592no—
883#3515—592no—
884#3514—592no—
885#3514—592no—
886#3507—591no—
887#3507D5911yescharacteristic, complemented
888#3505—594no—
889#3501—591no—
890#3496—591no—
891#3493—592no—
892#3491—594no—
893#3485—592no—
894#3482—592no—
895#3482—592no—
896#3481—592no—
897#3481—592no—
898#3475—594no—
899#3475—594no—
900#3461—592no—
901#3459—594no—
902#3444—591no—
903#3444—591no—
904C2×#529—594no—
905C4×H(5,𝔽2)—592no—
906C2×C4×#41—591no—
907C2×C59—22no—
908C2×C59—44no—
909C2×C59C23×#4111yescharacteristic
910C2×C59C2×#58511yescharacteristic
911C2×C59C2×#58511yescharacteristic
912D59—28no—
913D59—41no—
914D59—41no—
915D59—44no—
916C2×H(5,𝔽2)—592no—
917C22×#41—591no—
918#559—592no—
919#559C2×D5912yescomplemented
920#557—592no—
921#557C2×D5912yescomplemented
922#556—594no—
923#556—594no—
924#556—592no—
925#556—594no—
926#556C2×D5914yescomplemented
927#556C2×D5912yescomplemented
928#555—594no—
929#555—594no—
930#554—592no—
931#554—594no—
932#554—594no—
933#554—592no—
934#554—592no—
935#554C2×D5912yescomplemented
936#553—598no—
937#553—594no—
938#553—594no—
939#553—594no—
940#553—598no—
941#553—594no—
942#552—598no—
943#552—598no—
944#552—598no—
945#552—594no—
946#552—598no—
947#552—594no—
948#552—594no—
949#552—594no—
950#552—594no—
951#552C2×D5914yescomplemented
952#551—598no—
953#551—598no—
954#551—598no—
955#551—598no—
956#551—598no—
957#551—598no—
958D4×Q8—592no—
959D4×Q8—592no—
960#548—594no—
961#548—594no—
962#547—594no—
963#547—594no—
964#547—592no—
965#547—594no—
966#547—594no—
967#547—592no—
968#546—594no—
969#546—594no—
970#546—594no—
971#546—594no—
972#546—594no—
973#546—594no—
974#546—594no—
975#546—594no—
976D42—592no—
977D42—592no—
978#544—592no—
979#543—594no—
980#542—594no—
981#542—594no—
982#541—594no—
983#541—594no—
984#539—598no—
985#539—598no—
986#539—598no—
987#539—594no—
988#539C2×D5914yescomplemented
989#538—598no—
990#538—598no—
991#538—598no—
992#537—592no—
993#536—592no—
994#536C2×D5912yescomplemented
995#534—598no—
996#534—594no—
997#533—591no—
998#533—591no—
999#533—591no—
1000#533—591no—
1001#533—594no—
1002#533—594no—
1003#533—591no—
1004#533C2×D5911yescharacteristic, complemented
1005#532—591no—
1006#532—591no—
1007#532—591no—
1008#532—591no—
1009#532—591no—
1010#532C2×D5911yescharacteristic
1011#529—598no—
1012#529—598no—
1013#529—594no—
1014#529—592no—
1015#529—592no—
1016#529—598no—
1017#529—594no—
1018#529—592no—
1019#529—592no—
1020#529—594no—
1021#529—598no—
1022#529—592no—
1023#529—592no—
1024#529—594no—
1025#529—592no—
1026#529—592no—
1027#529—594no—
1028#529—592no—
1029#529—592no—
1030#529—598no—
1031#529—594no—
1032#529—592no—
1033#529—592no—
1034#529—598no—
1035#529—594no—
1036#529C2×D5914yescomplemented
1037C2×#126—598no—
1038C2×#125—594no—
1039C2×#124—594no—
1040#525—592no—
1041#525—598no—
1042#525—592no—
1043#525—592no—
1044#525—598no—
1045#525—592no—
1046#525—592no—
1047#525—592no—
1048C2×#123—598no—
1049C2×C22⋊Q8—594no—
1050C2×#121—594no—
1051#520—594no—
1052#520—592no—
1053#520—594no—
1054#520C2×D5912yescomplemented
1055#518—598no—
1056#518—594no—
1057#518—592no—
1058#518—594no—
1059C4×#41—592no—
1060C4×#41—592no—
1061C4×#41—592no—
1062C4×#41—592no—
1063C4×#41—592no—
1064C4×#41—592no—
1065C4×#41—592no—
1066C4×#41—592no—
1067C4×#41—592no—
1068C4×#41—594no—
1069C4×#41—592no—
1070C4×#41—592no—
1071C4×#41—592no—
1072C4×#41—592no—
1073C4×#41—592no—
1074C4×#41—594no—
1075C2×C4×Q8—591no—
1076C2×C4×Q8—594no—
1077C2×C4×Q8C2×D5911yescharacteristic, complemented
1078C2×C4×D4—598no—
1079C2×C4×D4—594no—
1080C2×C4×D4—594no—
1081C2×C4×D4—591no—
1082C2×C4×D4—592no—
1083C2×C4×D4—594no—
1084C2×C4×D4—591no—
1085C2×C4×D4—592no—
1086C2×#117—598no—
1087C2×#117—592no—
1088C2×#117—591no—
1089C22×C42—592no—
1090C22×C42—591no—
1091C59#6278111yescharacteristic, complemented, Sylow
1092H(5,𝔽2)—11816no—
1093C2×#41—592no—
1094C2×#41—592no—
1095C2×#41—592no—
1096C2×#41—592no—
1097C2×#41—594no—
1098C2×#41—592no—
1099C2×#41—592no—
1100C2×#41—592no—
1101C2×#41—592no—
1102C2×#41—592no—
1103C2×#41—594no—
1104C2×#41—1188no—
1105C2×#41C22×D5912yes—
1106C22×Q8—594no—
1107C22×Q8C22×D5911yescharacteristic
1108C22×D4—598no—
1109C22×D4—594no—
1110C22×D4—594no—
1111C22×D4—591no—
1112C22×D4—592no—
1113C22×D4—594no—
1114C23×C4—592no—
1115C23×C4—591no—
1116C23×C4—598no—
1117C23×C4—592no—
1118C23×C4—592no—
1119C23×C4—591no—
1120C23×C4—591no—
1121C4⋊Q8—594no—
1122C4⋊Q8—594no—
1123C4⋊Q8—591no—
1124C4⋊Q8—591no—
1125C4⋊Q8—591no—
1126C4⋊Q8—594no—
1127C4⋊Q8C22×D5911yescharacteristic
1128C4⋊Q8C22×D5911yescharacteristic
1129C4⋊Q8C22×D5911yescharacteristic
1130C4⋊Q8C22×D5914yes—
1131#127—591no—
1132#127C22×D5911yescharacteristic
1133#126—594no—
1134#126—598no—
1135#126—598no—
1136#126—594no—
1137#126—598no—
1138#126—598no—
1139#126—598no—
1140#126—594no—
1141#126—598no—
1142#126—598no—
1143#126—594no—
1144#126—598no—
1145#126—598no—
1146#126—598no—
1147#126C22×D5918yes—
1148#126C22×D5918yes—
1149#125—592no—
1150#125—592no—
1151#125—598no—
1152#125—598no—
1153#125—592no—
1154#125—592no—
1155#125—598no—
1156#125—594no—
1157#125—598no—
1158#125—598no—
1159#125—594no—
1160#125—592no—
1161#125—594no—
1162#125C22×D5914yes—
1163#125C22×D5912yes—
1164#125C22×D5918yes—
1165#124—592no—
1166#124—592no—
1167#124—594no—
1168#124—592no—
1169#124—592no—
1170#124—598no—
1171#124—598no—
1172#124—598no—
1173#124—594no—
1174#124—592no—
1175#124—598no—
1176#124C22×D5914yes—
1177#124C22×D5912yes—
1178#124C22×D5914yes—
1179#123—594no—
1180#123—598no—
1181#123—598no—
1182#123—598no—
1183#123—598no—
1184#123—594no—
1185#123—594no—
1186#123—598no—
1187#123—598no—
1188#123—598no—
1189#123—598no—
1190#123—598no—
1191#123—594no—
1192#123—598no—
1193#123—598no—
1194#123—594no—
1195#123—594no—
1196#123—598no—
1197#123—598no—
1198#123—598no—
1199#123C22×D5918yes—
1200#123C22×D5918yes—
1201C22⋊Q8—594no—
1202C22⋊Q8—592no—
1203C22⋊Q8—592no—
1204C22⋊Q8—592no—
1205C22⋊Q8—592no—
1206C22⋊Q8—598no—
1207C22⋊Q8—594no—
1208C22⋊Q8—594no—
1209C22⋊Q8—594no—
1210C22⋊Q8—592no—
1211C22⋊Q8—592no—
1212C22⋊Q8—594no—
1213C22⋊Q8—594no—
1214C22⋊Q8—598no—
1215C22⋊Q8—592no—
1216C22⋊Q8—592no—
1217C22⋊Q8—592no—
1218C22⋊Q8—592no—
1219C22⋊Q8—598no—
1220C22⋊Q8—598no—
1221C22⋊Q8—598no—
1222C22⋊Q8—598no—
1223C22⋊Q8—598no—
1224C22⋊Q8—598no—
1225C22⋊Q8—598no—
1226C22⋊Q8C22×D5912yes—
1227C22⋊Q8C22×D5912yes—
1228C22⋊Q8C22×D5918yes—
1229C22⋊Q8C22×D5914yes—
1230C22⋊Q8C22×D5914yes—
1231#121—598no—
1232#121—594no—
1233#121—592no—
1234#121—592no—
1235#121—592no—
1236#121—592no—
1237#121—594no—
1238#121—592no—
1239#121—592no—
1240#121—598no—
1241#121—594no—
1242#121—594no—
1243#121—592no—
1244#121—592no—
1245#121—592no—
1246#121—592no—
1247#121—598no—
1248#121—598no—
1249#121—598no—
1250#121—598no—
1251#121—598no—
1252#121—598no—
1253#121C22×D5912yes—
1254#121C22×D5912yes—
1255#120—594no—
1256#120—598no—
1257#120—594no—
1258#120—598no—
1259#120—598no—
1260#120—598no—
1261C4×Q8—592no—
1262C4×Q8—592no—
1263C4×Q8—592no—
1264C4×Q8—592no—
1265C4×Q8—592no—
1266C4×Q8—592no—
1267C4×Q8—592no—
1268C4×Q8—592no—
1269C4×Q8—592no—
1270C4×Q8—598no—
1271C4×Q8—592no—
1272C4×Q8—592no—
1273C4×Q8—594no—
1274C4×Q8—592no—
1275C4×Q8—594no—
1276C4×Q8—598no—
1277C4×Q8—592no—
1278C4×Q8—592no—
1279C4×Q8C22×D5914yes—
1280C4×Q8C22×D5912yes—
1281C4×Q8C22×D5912yes—
1282C4×Q8C22×D5912yes—
1283C4×Q8C22×D5912yes—
1284C4×Q8C22×D5914yes—
1285C4×Q8C22×D5912yes—
1286C4×Q8C22×D5912yes—
1287C4×D4—594no—
1288C4×D4—592no—
1289C4×D4—592no—
1290C4×D4—594no—
1291C4×D4—592no—
1292C4×D4—592no—
1293C4×D4—598no—
1294C4×D4—598no—
1295C4×D4—598no—
1296C4×D4—598no—
1297C4×D4—594no—
1298C4×D4—594no—
1299C4×D4—592no—
1300C4×D4—592no—
1301C4×D4—598no—
1302C4×D4—592no—
1303C4×D4—592no—
1304C4×D4—592no—
1305C4×D4—592no—
1306C4×D4—594no—
1307C4×D4—594no—
1308C4×D4—594no—
1309C4×D4—594no—
1310C4×D4—594no—
1311C4×D4—598no—
1312C4×D4—594no—
1313C4×D4—592no—
1314C4×D4—594no—
1315C4×D4—594no—
1316C4×D4—594no—
1317C4×D4—592no—
1318C4×D4—598no—
1319C4×D4—594no—
1320C4×D4—598no—
1321C4×D4—594no—
1322C4×D4—598no—
1323C4×D4—594no—
1324C4×D4—594no—
1325C4×D4—592no—
1326C4×D4—592no—
1327C4×D4—592no—
1328C4×D4—592no—
1329C4×D4—594no—
1330C4×D4—594no—
1331C4×D4—594no—
1332C4×D4—594no—
1333C4×D4—598no—
1334C4×D4—594no—
1335C4×D4—594no—
1336C4×D4—594no—
1337C4×D4—598no—
1338C4×D4—594no—
1339C4×D4—594no—
1340C4×D4—592no—
1341C4×D4—592no—
1342C4×D4C22×D5918yes—
1343C4×D4C22×D5914yes—
1344C4×D4C22×D5914yes—
1345C4×D4C22×D5912yes—
1346C4×D4C22×D5912yes—
1347#117—598no—
1348#117—592no—
1349#117—594no—
1350#117—594no—
1351#117—594no—
1352#117—594no—
1353#117—594no—
1354#117—594no—
1355#117—592no—
1356#117—592no—
1357#117—592no—
1358#117—592no—
1359#117—598no—
1360#117—598no—
1361#117—594no—
1362#117—592no—
1363#117—592no—
1364#117—592no—
1365#117—592no—
1366#117—594no—
1367#117—594no—
1368#117—598no—
1369#117—594no—
1370#117—598no—
1371#117—598no—
1372#117—594no—
1373#117—598no—
1374#117C22×D5918yes—
1375#117C22×D5912yes—
1376#117C22×D5914yes—
1377C2×C4⋊C4—591no—
1378C2×C4⋊C4—592no—
1379C2×C4⋊C4—598no—
1380C2×C4⋊C4—598no—
1381C2×C4⋊C4—598no—
1382C2×C4⋊C4—594no—
1383C2×C4⋊C4—594no—
1384C2×C4⋊C4—594no—
1385C2×C4⋊C4—598no—
1386C2×C4⋊C4C22×D5911yescharacteristic
1387C2×C4⋊C4C22×D5912yes—
1388C2×C4⋊C4C22×D5914yes—
1389C2×C22⋊C4—592no—
1390C2×C22⋊C4—592no—
1391C2×C22⋊C4—592no—
1392C2×C22⋊C4—598no—
1393C2×C22⋊C4—598no—
1394C2×C22⋊C4—598no—
1395C2×C22⋊C4—598no—
1396C2×C22⋊C4—598no—
1397C2×C22⋊C4—598no—
1398C2×C22⋊C4—598no—
1399C2×C42—591no—
1400C2×C42—592no—
1401C2×C42—591no—
1402C2×C42—592no—
1403C2×C42—594no—
1404C2×C42—591no—
1405C2×C42—594no—
1406C2×C42—598no—
1407C2×C42—594no—
1408C2×C42—594no—
1409C2×C42—591no—
1410C2×C42—591no—
1411C2×C42—591no—
1412C2×C42—591no—
1413C2×C42—594no—
1414C2×C42—594no—
1415C2×C42—591no—
1416C2×C42—591no—
1417C2×C42—591no—
1418C2×C42—591no—
1419C2×C42C22×D5912yes—
1420C2×C42C22×D5911yescharacteristic
1421C24—592no—
1422C24—598no—
1423C24—591no—
1424#41—28no—
1425#41—11816no—
1426#41—1188no—
1427#41—1188no—
1428#41—1188no—
1429#41—1188no—
1430#41—11816no—
1431#41—1188no—
1432#41—2364no—
1433#41—2364no—
1434#41—2364no—
1435#41—2364no—
1436C2×Q8—24no—
1437C2×Q8—592no—
1438C2×Q8—592no—
1439C2×Q8—592no—
1440C2×Q8—598no—
1441C2×Q8—2368no—
1442C2×Q8C23×D5912yes—
1443C2×Q8C23×D5912yes—
1444C2×Q8C23×D5912yes—
1445C2×Q8C23×D5912yes—
1446C2×Q8C23×D5912yes—
1447C2×D4—598no—
1448C2×D4—594no—
1449C2×D4—594no—
1450C2×D4—594no—
1451C2×D4—598no—
1452C2×D4—598no—
1453C2×D4—592no—
1454C2×D4—592no—
1455C2×D4—594no—
1456C2×D4—594no—
1457C2×D4—598no—
1458C2×D4—592no—
1459C2×D4—592no—
1460C2×D4—592no—
1461C2×D4—594no—
1462C2×D4—594no—
1463C2×D4—11816no—
1464C2×D4—1188no—
1465C2×D4—11816no—
1466C2×D4—11832no—
1467C2×D4—2368no—
1468C2×D4C23×D5914yes—
1469C2×D4C23×D5912yes—
1470C2×D4C23×D5912yes—
1471C2×D4C23×D5912yes—
1472C22×C4—591no—
1473C22×C4—591no—
1474C22×C4—594no—
1475C22×C4—591no—
1476C22×C4—592no—
1477C22×C4—594no—
1478C22×C4—594no—
1479C22×C4—594no—
1480C22×C4—594no—
1481C22×C4—594no—
1482C22×C4—591no—
1483C22×C4—591no—
1484C22×C4—591no—
1485C22×C4—591no—
1486C22×C4—591no—
1487C22×C4—591no—
1488C22×C4—591no—
1489C22×C4—591no—
1490C22×C4—598no—
1491C22×C4—594no—
1492C22×C4—594no—
1493C22×C4—594no—
1494C22×C4—594no—
1495C22×C4—591no—
1496C22×C4—591no—
1497C22×C4—591no—
1498C22×C4—591no—
1499C22×C4—598no—
1500C22×C4—594no—
1501C22×C4—598no—
1502C22×C4—598no—
1503C22×C4—1188no—
1504C22×C4—1184no—
1505C22×C4—2364no—
1506C22×C4—2362no—
1507C22×C4—2364no—
1508C22×C4—23616no—
1509C22×C4—2362no—
1510C22×C4C23×D5911yescharacteristic
1511C22×C4C23×D5912yes—
1512C22×C4C23×D5914yes—
1513C22×C4C23×D5912yes—
1514C22×C4C23×D5911yescharacteristic
1515C22×C4C23×D5918yes—
1516C22×C4C23×D5911yescharacteristic
1517C4⋊C4—594no—
1518C4⋊C4—594no—
1519C4⋊C4—594no—
1520C4⋊C4—592no—
1521C4⋊C4—592no—
1522C4⋊C4—594no—
1523C4⋊C4—598no—
1524C4⋊C4—594no—
1525C4⋊C4—592no—
1526C4⋊C4—594no—
1527C4⋊C4—594no—
1528C4⋊C4—592no—
1529C4⋊C4—592no—
1530C4⋊C4—594no—
1531C4⋊C4—594no—
1532C4⋊C4—598no—
1533C4⋊C4—598no—
1534C4⋊C4—598no—
1535C4⋊C4—598no—
1536C4⋊C4—598no—
1537C4⋊C4—598no—
1538C4⋊C4—592no—
1539C4⋊C4—594no—
1540C4⋊C4—594no—
1541C4⋊C4—592no—
1542C4⋊C4—592no—
1543C4⋊C4—594no—
1544C4⋊C4C23×D5912yes—
1545C4⋊C4C23×D5914yes—
1546C4⋊C4C23×D5912yes—
1547C4⋊C4C23×D5912yes—
1548C4⋊C4C23×D5918yes—
1549C4⋊C4C23×D5918yes—
1550C4⋊C4C23×D5918yes—
1551C4⋊C4C23×D5912yes—
1552C4⋊C4C23×D5912yes—
1553C4⋊C4C23×D5914yes—
1554C4⋊C4C23×D5914yes—
1555C4⋊C4C23×D5912yes—
1556C4⋊C4C23×D5914yes—
1557C4⋊C4C23×D5912yes—
1558C4⋊C4C23×D5912yes—
1559C22⋊C4—594no—
1560C22⋊C4—594no—
1561C22⋊C4—594no—
1562C22⋊C4—594no—
1563C22⋊C4—594no—
1564C22⋊C4—598no—
1565C22⋊C4—594no—
1566C22⋊C4—594no—
1567C22⋊C4—594no—
1568C22⋊C4—594no—
1569C22⋊C4—598no—
1570C22⋊C4—598no—
1571C22⋊C4—594no—
1572C22⋊C4—594no—
1573C22⋊C4—594no—
1574C22⋊C4—598no—
1575C22⋊C4—594no—
1576C22⋊C4—594no—
1577C22⋊C4—594no—
1578C22⋊C4—594no—
1579C22⋊C4—598no—
1580C22⋊C4—598no—
1581C22⋊C4—598no—
1582C22⋊C4—594no—
1583C22⋊C4—594no—
1584C22⋊C4—594no—
1585C22⋊C4—594no—
1586C22⋊C4—594no—
1587C22⋊C4C23×D5914yes—
1588C22⋊C4C23×D5914yes—
1589C22⋊C4C23×D5918yes—
1590C22⋊C4C23×D5918yes—
1591C22⋊C4C23×D5918yes—
1592C22⋊C4C23×D5914yes—
1593C42—591no—
1594C42—591no—
1595C42—591no—
1596C42—591no—
1597C42—591no—
1598C42—591no—
1599C42—591no—
1600C42—591no—
1601C42—594no—
1602C42—594no—
1603C42—594no—
1604C42—594no—
1605C42—591no—
1606C42—591no—
1607C42—591no—
1608C42—591no—
1609C42—594no—
1610C42—594no—
1611C42—594no—
1612C42—594no—
1613C42—598no—
1614C42—594no—
1615C42C23×D5914yes—
1616C42C23×D5911yescharacteristic
1617C42C23×D5911yescharacteristic
1618C42C23×D5914yes—
1619C42C23×D5911yescharacteristic
1620C42C23×D5911yescharacteristic
1621C42C23×D5918yes—
1622C42C23×D5914yes—
1623C23—594no—
1624C23—598no—
1625C23—594no—
1626C23—591no—
1627C23—591no—
1628C23—11816no—
1629C23—1182no—
1630C23—2368no—
1631C23—2368no—
1632C23—2362no—
1633C23—2361no—
1634C23—2362no—
1635C23—2361no—
1636C23C24×D5914yes—
1637C23C24×D5911yescharacteristic
1638Q8—24no—
1639Q8—24no—
1640Q8—24no—
1641Q8—24no—
1642Q8—42no—
1643Q8—1184no—
1644Q8—1184no—
1645Q8—2368no—
1646Q8—2362no—
1647D4—28no—
1648D4—24no—
1649D4—24no—
1650D4—42no—
1651D4—598no—
1652D4—598no—
1653D4—11816no—
1654D4—1188no—
1655D4—1188no—
1656D4—11816no—
1657D4—1188no—
1658D4—1184no—
1659D4—1184no—
1660D4—2364no—
1661D4—2362no—
1662D4—2364no—
1663D4—2368no—
1664D4—2364no—
1665D4—2364no—
1666C2×C4—24no—
1667C2×C4—28no—
1668C2×C4—22no—
1669C2×C4—42no—
1670C2×C4—48no—
1671C2×C4—41no—
1672C2×C4—591no—
1673C2×C4—591no—
1674C2×C4—591no—
1675C2×C4—591no—
1676C2×C4—591no—
1677C2×C4—591no—
1678C2×C4—594no—
1679C2×C4—594no—
1680C2×C4—594no—
1681C2×C4—594no—
1682C2×C4—1188no—
1683C2×C4—1188no—
1684C2×C4—1182no—
1685C2×C4—1182no—
1686C2×C4—1188no—
1687C2×C4—1188no—
1688C2×C4—11816no—
1689C2×C4—1182no—
1690C2×C4—1188no—
1691C2×C4—1182no—
1692C2×C4—1182no—
1693C2×C4—1182no—
1694C2×C4—1182no—
1695C2×C4—1182no—
1696C2×C4—1188no—
1697C2×C4—1188no—
1698C2×C4—1182no—
1699C2×C4—1182no—
1700C2×C4—2364no—
1701C2×C4—2368no—
1702C2×C4—2368no—
1703C2×C4—2361no—
1704C2×C4—2361no—
1705C2×C4—2361no—
1706C2×C4—2361no—
1707C2×C4—2364no—
1708C2×C4—2368no—
1709C2×C4—2364no—
1710C2×C4—2361no—
1711C2×C4—2362no—
1712C2×C4—2364no—
1713C2×C4#41×D5914yes—
1714C2×C4C24×D5914yes—
1715C2×C4C24×D5911yescharacteristic
1716C2×C4C24×D5911yescharacteristic
1717C2×C4C24×D5914yes—
1718C2×C4C24×D5911yescharacteristic
1719C2×C4C24×D5914yes—
1720C2×C4C24×D5914yes—
1721C2×C4C24×D5914yes—
1722C2×C4C24×D5911yescharacteristic
1723C2×C4C24×D5911yescharacteristic
1724C2×C4C24×D5911yescharacteristic
1725C22—21no—
1726C22—21no—
1727C22—24no—
1728C22—24no—
1729C22—24no—
1730C22—598no—
1731C22—1184no—
1732C22—1184no—
1733C22—1181no—
1734C22—1181no—
1735C22—1184no—
1736C22—1184no—
1737C22—1181no—
1738C22—1181no—
1739C22—1181no—
1740C22—1181no—
1741C22—1184no—
1742C22—47216no—
1743C22—2368no—
1744C22—2364no—
1745C22C2×#41×D5912yes—
1746C22C25×D5911yescharacteristic
1747C4—24no—
1748C4—24no—
1749C4—24no—
1750C4—24no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—24no—
1755C4—592no—
1756C4—1181no—
1757C4—1181no—
1758C4—1184no—
1759C4—1181no—
1760C4—1184no—
1761C4—1181no—
1762C4—1181no—
1763C4—1184no—
1764C4—1184no—
1765C4C2×#41×D5912yes—
1766C4C2×#41×D5912yes—
1767C4#1683823912yes—
1768C2—22no—
1769C2—44no—
1770C2—1188no—
1771C2—2364no—
1772C2—2361no—
1773C2—2361no—
1774C2C22×#41×D5911yescharacteristic
1775C2#585×D5911yescharacteristic
1776C2C2×#1683823911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D59
commutator, socle, cosocleC22×C59C26
FittingC59×#3507C2
hypercenter#3507D59
hypocenterC59#62781
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C22 ◁ #3507

Complements

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

NH ≅ G/Ntype
1. #21438171C2semidirect
2. #21438163C2semidirect
3. #21438077C2semidirect
4. #21438073C2semidirect
5. #21438060C2semidirect
6. #21438056C2semidirect
7. #21437961C2semidirect
8. #21437931C2semidirect
9. #21437897C2semidirect
10. #21437858C2semidirect
11. #21437809C2semidirect
12. #21437790C2semidirect
13. #21437739C2semidirect
14. #21437716C2semidirect
15. #21437715C2semidirect
16. #21437707C2semidirect
17. #21437705C2semidirect
18. #21437661C2semidirect
19. #21437657C2semidirect
20. #21437520C2semidirect
21. #21437504C2semidirect
22. #21437393C2semidirect
23. #21437391C2semidirect
24. #529×D59C2semidirect
25. #21437302C2semidirect
26. C2×C4×#11745689C2semidirect
27. C59×#3507C2semidirect
30. #16838137C22semidirect
31. #16838130C22semidirect
32. #16838125C22semidirect
33. #16838125C22semidirect
34. #16838124C22semidirect
35. #16838120C22semidirect
36. #16838117C22semidirect
37. #16838115C22semidirect
38. #16838113C22semidirect
39. #16838112C22semidirect
40. #16838112C22semidirect
41. #16838112C22semidirect
42. #16838108C22semidirect
43. #16838105C22semidirect
44. #16838103C22semidirect
45. #16838102C22semidirect
46. #16838102C22semidirect
47. #16838100C22semidirect
48. #16838096C22semidirect
49. #16838093C22semidirect
50. #16838093C22semidirect
51. #16838093C22semidirect
52. #16838090C22semidirect
53. #16838090C22semidirect
54. #16838088C22semidirect
55. #16838087C22semidirect
56. #16838086C22semidirect
57. #16838084C22semidirect
58. #16838080C22semidirect
59. #16838079C22semidirect
60. #16838077C22semidirect
61. #16838077C22semidirect
62. #16838076C22semidirect
63. #16838075C22semidirect
64. Q8×D236C22semidirect
65. #16838067C22semidirect
66. #16838064C22semidirect
67. #16838060C22semidirect
68. #16838057C22semidirect
69. #16838055C22semidirect
70. #16838055C22semidirect
71. #16838055C22semidirect
72. #16838054C22semidirect
73. #16838054C22semidirect
74. #16838048C22semidirect
75. #16838047C22semidirect
76. #16838045C22semidirect
77. #16838045C22semidirect
78. #16838045C22semidirect
79. #16838045C22semidirect
80. #16838043C22semidirect
81. #16838043C22semidirect
82. D4×D236C22semidirect
83. #16838037C22semidirect
84. #16838030C22semidirect
85. #16838027C22semidirect
86. #16838025C22semidirect
87. #16838021C22semidirect
88. #16838013C22semidirect
89. #16838012C22semidirect
90. #16838000C22semidirect
91. #16837999C22semidirect
92. #16837998C22semidirect
93. #16837996C22semidirect
94. #16837991C22semidirect
95. #16837988C22semidirect
96. #16837985C22semidirect
98. #16837976C22semidirect
99. #16837963C22semidirect
101. #16837959C22semidirect
102. #16837957C22semidirect
103. #16837957C22semidirect
104. #16837957C22semidirect
105. #16837957C22semidirect
106. #16837957C22semidirect
107. #16837954C22semidirect
108. #16837953C22semidirect
109. #16837953C22semidirect
111. #16837950C22semidirect
112. #16837950C22semidirect
113. #16837939C22semidirect
114. #16837939C22semidirect
115. #16837939C22semidirect
116. #16837938C22semidirect
117. #16837938C22semidirect
118. #16837938C22semidirect
119. #16837937C22semidirect
120. #16837937C22semidirect
121. #16837937C22semidirect
122. #16837937C22semidirect
123. #16837936C22semidirect
124. #16837935C22semidirect
125. #16837935C22semidirect
126. #16837934C22semidirect
127. #16837934C22semidirect
128. #16837934C22semidirect
129. #16837933C22semidirect
130. #16837933C22semidirect
131. #16837932C22semidirect
132. #16837931C22semidirect
133. #16837931C22semidirect
134. #16837931C22semidirect
135. #16837931C22semidirect
136. #16837930C22semidirect
137. #16837929C22semidirect
138. #126×D59C22semidirect
139. #125×D59C22semidirect
140. #124×D59C22semidirect
141. #16837915C22semidirect
142. #16837915C22semidirect
143. #16837915C22semidirect
144. #16837914C22semidirect
145. #16837912C22semidirect
146. #16837912C22semidirect
147. #16837910C22semidirect
148. #16837909C22semidirect
149. #123×D59C22semidirect
150. C22⋊Q8×D59C22semidirect
152. #16837884C22semidirect
153. #16837883C22semidirect
154. #16837883C22semidirect
156. #16837876C22semidirect
157. #16837874C22semidirect
158. #16837874C22semidirect
159. #41×Dic59C22semidirect
160. C4×#11745689C22semidirect
161. C4×#11745689C22semidirect
162. C4×#11745689C22semidirect
163. C4×#11745689C22semidirect
164. C4×#11745689C22semidirect
165. C4×#11745689C22semidirect
166. C4×#11745689C22semidirect
167. C4×#11745689C22semidirect
168. C4×#11745689C22semidirect
169. C4×#11745689C22semidirect
170. C4×#11745689C22semidirect
171. #16837870C22semidirect
172. #16837870C22semidirect
173. C4×#11745687C22semidirect
174. C4×#11745687C22semidirect
175. C2×Q8×Dic59C22semidirect
176. C4×Q8×D59C22semidirect
178. C2×C4×D236C22semidirect
180. C2×#14273689C22semidirect
181. C2×#14273689C22semidirect
182. C4×D4×D59C22semidirect
183. C4×D4×D59C22semidirect
184. C4×D4×D59C22semidirect
185. C2×#14273685C22semidirect
186. C2×#14273685C22semidirect
187. #117×D59C22semidirect
188. C2×C42×D59C22semidirect
189. C2×C42×D59C22semidirect
190. C59×#559C22semidirect
191. C59×#557C22semidirect
192. C59×#556C22semidirect
193. C59×#556C22semidirect
194. C59×#554C22semidirect
195. C59×#552C22semidirect
196. C59×#539C22semidirect
197. C59×#536C22semidirect
198. C59×#533C22semidirect
200. C59×#529C22semidirect
201. C59×#520C22semidirect
202. C2×C4×Q8×C59C22semidirect
581. C2×D236#41semidirect
887. #3507D59semidirect
919. #559C2×D59semidirect
921. #557C2×D59semidirect
926. #556C2×D59semidirect
927. #556C2×D59semidirect
935. #554C2×D59semidirect
951. #552C2×D59semidirect
988. #539C2×D59semidirect
994. #536C2×D59semidirect
1004. #533C2×D59semidirect
1036. #529C2×D59semidirect
1054. #520C2×D59semidirect
1077. C2×C4×Q8C2×D59semidirect
1091. C59#62781semidirect

Maximal subgroups

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

subgroupindex
#214381712
#214381632
#214380772
#214380732
#214380602
#214380562
#214379612
#214379312
#214378972
#214378582
#214378092
#214377902
#214377392
#214377162
#214377152
#214377072
#214377052
#214376612
#214376572
#214375202
#214375042
#214373932
#214373912
#529×D592
#214373022
C2×C4×#117456892
C59×#35072
#6278159