Finite Group Databasebeta

← #27124514

Subgroups — #27124514

Order 12032.

7094 conjugacy classes of subgroups.

The subgroup lattice has 1746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257483C212yesmaximal, complemented
2#20257481C212yesmaximal, complemented
3#20257472C212yesmaximal, complemented
4#20257470C212yesmaximal, complemented
5#20257380C214yesmaximal, complemented
6#20257376C214yesmaximal, complemented
7#20257253C211yesmaximal, characteristic, complemented
8#20257244C214yesmaximal, complemented
9#20257193C211yesmaximal, characteristic, complemented
10#20257154C211yesmaximal, characteristic, complemented
11#20257093C214yesmaximal, complemented
12#20257091C212yesmaximal, complemented
13#20257037C212yesmaximal, complemented
14#20257007C214yesmaximal, complemented
15#20257002C214yesmaximal, complemented
16#20256984C212yesmaximal, complemented
17#20256980C212yesmaximal, complemented
18#20256970C212yesmaximal, complemented
19#20256967C212yesmaximal, complemented
20#20256818C214yesmaximal, complemented
21#20256812C212yesmaximal, complemented
22#20256685C211yesmaximal, characteristic, complemented
23#20256683C211yesmaximal, characteristic, complemented
24#20256682C214yesmaximal, complemented
25#20256599C212yesmaximal, complemented
26C2×C4×Q8×D47C211yesmaximal, characteristic, complemented
27C47×#3507C211yesmaximal, characteristic, complemented
28C2×#13094071C2212yes—
29C22×Q8×D47C2211yescharacteristic
30#15689858C2212yescomplemented
31#15689856C2214yescomplemented
32#15689855C2214yescomplemented
33Q8×Dic94C2212yescomplemented
34#15689853C2212yescomplemented
35#15689851C2214yescomplemented
36#15689851C2212yescomplemented
37#15689851C2212yescomplemented
38#15689850C2214yescomplemented
39#15689850C2214yescomplemented
40#15689849C2214yescomplemented
41#15689848C2212yescomplemented
42#15689846C2212yescomplemented
43#15689845C2214yescomplemented
44#15689845C2214yescomplemented
45#15689842C2214yescomplemented
46#15689841C2218yescomplemented
47#15689840C2218yescomplemented
48#15689833C2214yes—
49#15689833C2212yescomplemented
50#15689832C2214yescomplemented
51#15689829C2218yes—
52#15689829C2214yescomplemented
53#15689828C2214yes—
54#15689827C2218yes—
55#15689824C2218yes—
56#15689823C2214yes—
57#15689818C2218yes—
58#15689817C2214yes—
59#15689814C2214yes—
60#15689814C2214yescomplemented
61#15689812C2214yes—
62#15689809C2218yes—
63#15689809C2218yescomplemented
64#15689806C2218yescomplemented
65#15689805C2218yes—
66#15689794C2212yescomplemented
67#15689793C2212yescomplemented
68D4×Dic94C2212yescomplemented
69#15689788C2214yes—
70#15689788C2214yes—
71#15689788C2212yescomplemented
72#15689786C2214yes—
73#15689786C2214yes—
74#15689783C2214yes—
75#15689783C2214yes—
76#15689782C2214yescomplemented
77#15689781C2214yes—
78#15689781C2214yes—
79#15689781C2214yescomplemented
80#15689778C2214yes—
81#15689775C2218yes—
82#15689774C2214yes—
83#15689771C2218yes—
84#15689752C2214yes—
85#15689751C2212yes—
86#15689746C2214yescomplemented
87#15689743C2218yescomplemented
88#15689742C2214yescomplemented
89#15689741C2218yescomplemented
90#15689734C2214yescomplemented
91#15689733C2214yescomplemented
92#15689732C2218yescomplemented
93#15689730C2218yescomplemented
94#15689720C2214yes—
95#15689717C2218yes—
96#15689715C2218yes—
97#15689701C2212yes—
98#15689700C2214yes—
99#15689697C2212yes—
100#15689695C2218yes—
101#15689680C2211yescharacteristic
102#15689679C2214yes—
103#15689679C2218yescomplemented
104#15689678C2211yescharacteristic
105#15689678C2211yescharacteristic
106#15689678C2211yescharacteristic
107#15689678C2211yescharacteristic
108#15689678C2214yescomplemented
109#15689677C2214yes—
110#15689675C2214yes—
111#15689675C2214yescomplemented
112#15689675C2218yescomplemented
113#15689674C2211yescharacteristic
114#15689674C2211yescharacteristic
115#15689673C2211yescharacteristic
116#15689672C2214yes—
117#15689671C2211yescharacteristic
118#15689671C2211yescharacteristic
119#15689670C2214yes—
120#15689668C2214yes—
121#15689660C2212yes—
122#15689660C2212yes—
123#15689659C2212yes—
124#15689659C2212yes—
125#15689659C2214yescomplemented
126#15689658C2212yes—
127#15689658C2214yes—
128#15689658C2212yes—
129#15689657C2214yes—
130#15689656C2218yes—
131#15689656C2218yes—
132#15689656C2218yescomplemented
133#15689655C2212yes—
134#15689655C2212yes—
135#15689654C2212yes—
136#15689654C2212yes—
137#15689652C2212yes—
138#15689652C2214yes—
139#15689652C2212yes—
140#15689652C2214yescomplemented
141#15689651C2218yes—
142#15689650C2218yes—
143#15689650C2218yescomplemented
144#15689636C2212yes—
145#15689636C2212yes—
146#15689635C2212yes—
147#15689633C2212yes—
148#15689633C2212yes—
149#15689632C2218yes—
150#15689631C2218yes—
151#15689630C2212yes—
152#15689604C2212yes—
153#15689604C2214yescomplemented
154#15689602C2218yes—
155#15689602C2214yescomplemented
156#15689600C2212yes—
157#15689600C2214yescomplemented
158#15689599C2214yescomplemented
159#41×Dic47C2212yes—
160C4×#10625354C2214yes—
161C4×#10625354C2212yes—
162C4×#10625354C2212yes—
163#15689591C2212yes—
164#15689591C2218yes—
165#15689591C2214yescomplemented
166C4×#10625352C2218yes—
167C4×#10625352C2214yes—
168C4×#10625352C2212yes—
169C4×#10625352C2212yes—
170C4×#10625352C2214yescomplemented
171C2×Q8×Dic47C2211yescharacteristic
172C2×C4×Dic94C2211yescharacteristic
173C2×C4×Dic94C2212yes—
174C2×#13093989C2212yes—
175C2×#13093989C2211yescharacteristic
176C2×#13093989C2214yescomplemented
177C4×Q8×D47C2212yes—
178C4×Q8×D47C2212yes—
179C4×Q8×D47C2212yes—
180C4×Q8×D47C2212yes—
181C4×Q8×D47C2212yes—
182C4×Q8×D47C2212yes—
183C4×Q8×D47C2212yes—
184C4×Q8×D47C2212yes—
185C4×Q8×D47C2214yescomplemented
186C2×C4⋊C4×D47C2211yescharacteristic
187C2×C4⋊C4×D47C2212yes—
188C2×C42×D47C2212yes—
189C2×C42×D47C2211yescharacteristic
190C47×#559C2212yescomplemented
191C47×#557C2212yescomplemented
192C47×#556C2214yescomplemented
193C47×#556C2212yescomplemented
194C47×#554C2212yescomplemented
195C47×#552C2214yescomplemented
196C47×#539C2214yes—
197C47×#536C2212yes—
198C47×#533C2211yescharacteristic
199C47×#532C2211yescharacteristic
200C47×#529C2214yes—
201C47×#520C2212yes—
202C2×C4×Q8×C47C2211yescharacteristic
203#13094071—216no—
204C2×#10625354C2312yes—
205C2×#10625354C2312yes—
206C2×#10625350C2314yes—
207C2×#10625350C2312yes—
208C2×#10625350C2318yes—
209C2×#10625352C2314yes—
210C2×#10625352C2312yes—
211C2×#10625352C2318yes—
212C2×#10625352C2312yes—
213C22×Dic94C2314yes—
214C22×Dic94C2312yes—
215C22×Dic94C2311yescharacteristic
216C2×Q8×D47—28no—
217C2×Q8×D47C2312yes—
218C2×Q8×D47C2312yes—
219C2×Q8×D47C2314yes—
220C2×Q8×D47C2312yes—
221C2×Q8×D47C2312yes—
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2312yes—
225C22×C4×D47C2312yes—
226C22×C4×D47C2311yescharacteristic
227#13094024C2314yes—
228#13094024C2311yescharacteristic
229#13094024C2311yescharacteristic
230#13094024C2311yescharacteristic
231#13094023C2318yes—
232#13094023C2318yes—
233#13094023C2318yes—
234#13094023C2314yes—
235#13094023C2314yes—
236#13094023C2314yes—
237#13094022C2314yes—
238#13094022C2318yes—
239#13094022C2314yes—
240#13094021C2311yescharacteristic
241#13094020C2314yes—
242#13094019C2314yes—
243#13094019C2318yes—
244#13094019C2318yes—
245#13094019C2318yes—
246#13094019C2314yes—
247#13094018C2318yes—
248#13094018C2318yes—
249#13094017C2314yes—
250#13094017C2318yes—
251#13094017C2318yes—
252#13094017C2318yes—
253#13094017C2314yes—
254#13094016C2318yes—
255#13094016C2314yes—
256#13094016C2312yes—
257#13094016C2314yes—
258#13094015C2312yes—
259#13094015C2312yes—
260#13094015C2314yes—
261#13094015C2318yes—
262#13094015C2312yes—
263#13094015C2312yes—
264#13094014C2318yes—
265#13094014C2318yes—
266#13094014C2318yes—
267#13094014C2318yes—
268#13094014C2318yes—
269#13094014C2318yes—
270#13094014C2318yes—
271#13094013C2312yes—
272#13094013C2314yes—
273#13094013C2312yes—
274#13094012C2312yes—
275#13094012C2314yes—
276#13094011C2312yes—
277#13094011C2312yes—
278#13094010C2318yes—
279#13094010C2318yes—
280#13094010C2318yes—
281#13094010C2318yes—
282#13094009C2318yes—
283#13094009C2314yes—
284#13094009C2318yes—
285#13094009C2314yes—
286#13094008C2318yes—
287#13094008C2314yes—
288#13094007C2318yes—
289#13094007C2318yes—
290#13094006C2318yes—
291#13094006C2318yes—
292#13094006C2318yes—
293#13094006C2314yes—
294#13094006C2314yes—
295#13094005C2314yes—
296#13094004C2318yes—
297#13094004C2312yes—
298#13094004C2312yes—
299#13094004C2312yes—
300#13094004C2312yes—
301#13094003C2314yes—
302#13094003C2318yes—
303#13094003C2312yes—
304#13094003C2312yes—
305#13094002C2318yes—
306#13094002C2318yes—
307#13094002C2318yes—
308#13094002C2318yes—
309#13094002C2318yes—
310#13094002C2318yes—
311#13094002C2318yes—
312#13094002C2318yes—
313#13094001C2318yes—
314#13094001C2318yes—
315#13094001C2318yes—
316#13094001C2318yes—
317#13094001C2318yes—
318#13094000C2314yes—
319#13094000C2314yes—
320#13094000C2314yes—
321#13094000C2312yes—
322#13094000C2312yes—
323#13094000C2312yes—
324#13094000C2312yes—
325#13093999C2312yes—
326#13093999C2312yes—
327#13093999C2312yes—
328#13093999C2312yes—
329#13093998C2314yes—
330#13093998C2312yes—
331#13093998C2312yes—
332#13093997C2318yes—
333#13093997C2318yes—
334#13093997C2318yes—
335#13093997C2318yes—
336#13093996C2318yes—
337#13093996C2318yes—
338#13093995C2314yes—
339#13093995C2312yes—
340#13093995C2312yes—
341#13093995C2312yes—
342#13093995C2312yes—
343#13093994C2314yes—
344#13093992C2314yes—
345Q8×Dic47C2312yes—
346Q8×Dic47C2312yes—
347Q8×Dic47C2312yes—
348Q8×Dic47C2312yes—
349Q8×Dic47C2312yes—
350Q8×Dic47C2312yes—
351Q8×Dic47C2312yes—
352Q8×Dic47C2314yes—
353Q8×Dic47C2312yes—
354C4×Dic94C2318yes—
355C4×Dic94C2314yes—
356C4×Dic94C2314yes—
357C4×Dic94C2312yes—
358C4×Dic94C2312yes—
359C4×Dic94C2312yes—
360C4×Dic94C2312yes—
361C4×Dic94C2314yes—
362C4×Dic94C2318yes—
363C4×Dic94C2314yes—
364C4×Dic94C2314yes—
365C4×Dic94C2314yes—
366C4×Dic94C2314yes—
367C4×Dic94C2312yes—
368C4×Dic94C2312yes—
369#13093989C2314yes—
370#13093989C2314yes—
371#13093989C2312yes—
372#13093989C2314yes—
373#13093989C2314yes—
374#13093989C2318yes—
375#13093989C2314yes—
376#13093989C2318yes—
377#13093989C2312yes—
378#13093989C2312yes—
379#13093989C2312yes—
380#13093989C2312yes—
381#13093989C2314yes—
382#13093989C2314yes—
383#13093989C2318yes—
384#13093989C2312yes—
385#13093989C2312yes—
386#13093989C2314yes—
387#13093989C2312yes—
388#13093989C2318yes—
389C4×D188C2314yes—
390C4×D188C2314yes—
391C4×D188C2312yes—
392C4×D188C2312yes—
393C4×D188C2318yes—
394C4×D188C2314yes—
395D4×Dic47C2312yes—
396D4×Dic47C2314yes—
397D4×Dic47C2312yes—
398D4×Dic47C2314yes—
399D4×Dic47C2312yes—
400D4×Dic47C2312yes—
401D4×Dic47C2314yes—
402#13093986C2312yes—
403#13093986C2314yes—
404#13093986C2318yes—
405#13093986C2318yes—
406#13093986C2314yes—
407#13093986C2314yes—
408#13093986C2312yes—
409#13093986C2314yes—
410#13093986C2312yes—
411#13093986C2312yes—
412C4×C22⋊D47C2318yes—
413C4×C22⋊D47C2314yes—
414C4×C22⋊D47C2318yes—
415C4×C22⋊D47C2314yes—
416C4×C22⋊D47C2318yes—
417C4×C22⋊D47C2318yes—
418(C22⋊D47)⋊C4C2318yes—
419(C22⋊D47)⋊C4C2318yes—
420(C22⋊D47)⋊C4C2318yes—
421(C22⋊D47)⋊C4C2318yes—
422(C22⋊D47)⋊C4C2314yes—
423(C22⋊D47)⋊C4C2314yes—
424(C22⋊D47)⋊C4C2318yes—
425(C22⋊D47)⋊C4C2314yes—
426(C22⋊D47)⋊C4C2314yes—
427(C22⋊D47)⋊C4C2318yes—
428#13093983C2314yes—
429#13093983C2312yes—
430#13093982C2318yes—
431#13093982C2312yes—
432#13093982C2312yes—
433#13093982C2314yes—
434#13093982C2314yes—
435#13093982C2312yes—
436#13093982C2312yes—
437#13093982C2318yes—
438#13093982C2314yes—
439#13093981C2314yes—
440#13093981C2318yes—
441#13093981C2318yes—
442#13093981C2318yes—
443#13093980C2318yes—
444#13093980C2318yes—
445#13093980C2314yes—
446#13093980C2318yes—
447#13093980C2318yes—
448#13093980C2314yes—
449C2×C4⋊Dic47C2311yescharacteristic
450C2×C4⋊Dic47C2312yes—
451C2×Dic47⋊C4C2312yes—
452C2×Dic47⋊C4C2318yes—
453C2×Dic47⋊C4C2312yes—
454C2×Dic47⋊C4C2312yes—
455C4⋊C4×D47C2314yes—
456C4⋊C4×D47C2312yes—
457C4⋊C4×D47C2314yes—
458C4⋊C4×D47C2318yes—
459C4⋊C4×D47C2312yes—
460C4⋊C4×D47C2314yes—
461C4⋊C4×D47C2312yes—
462C4⋊C4×D47C2314yes—
463C4⋊C4×D47C2312yes—
464C4⋊C4×D47C2314yes—
465C2×C4×Dic47C2312yes—
466C2×C4×Dic47C2311yescharacteristic
467C2×C4×Dic47C2311yescharacteristic
468C2×C4×Dic47C2312yes—
469C2×C4×Dic47C2311yescharacteristic
470C2×C4×Dic47C2312yes—
471C2×C4×Dic47C2318yes—
472C2×C4×Dic47C2314yes—
473C42×D47C2311yescharacteristic
474C42×D47C2311yescharacteristic
475C42×D47C2314yes—
476C42×D47C2314yes—
477C42×D47C2311yescharacteristic
478C42×D47C2311yescharacteristic
479C42×D47C2314yes—
480C42×D47C2311yescharacteristic
481C42×D47C2314yes—
482C42×D47C2311yescharacteristic
483C42×D47C2311yescharacteristic
484C42×D47C2311yescharacteristic
485C42×D47C2318yes—
486C42×D47C2314yes—
487C2×#41×C47C2312yes—
488C22×Q8×C47C2311yescharacteristic
489C4⋊Q8×C47C2314yes—
490C4⋊Q8×C47C2311yescharacteristic
491C4⋊Q8×C47C2311yescharacteristic
492C4⋊Q8×C47C2311yescharacteristic
493#127×C47C2311yescharacteristic
494#126×C47C2318yes—
495#126×C47C2318yes—
496#125×C47C2318yes—
497#125×C47C2314yes—
498#125×C47C2312yes—
499#124×C47C2314yes—
500#124×C47C2312yes—
501#124×C47C2314yes—
502#123×C47C2318yes—
503#123×C47C2318yes—
504C22⋊Q8×C47C2314yes—
505C22⋊Q8×C47C2318yes—
506C22⋊Q8×C47C2314yes—
507C22⋊Q8×C47C2312yes—
508C22⋊Q8×C47C2312yes—
509#121×C47C2312yes—
510#121×C47C2312yes—
511C4×Q8×C47C2312yes—
512C4×Q8×C47C2312yes—
513C4×Q8×C47C2312yes—
514C4×Q8×C47C2312yes—
515C4×Q8×C47C2314yes—
516C4×Q8×C47C2314yes—
517C4×Q8×C47C2312yes—
518C4×Q8×C47C2312yes—
519C4×D4×C47C2314yes—
520C4×D4×C47C2312yes—
521C4×D4×C47C2312yes—
522C4×D4×C47C2318yes—
523C4×D4×C47C2314yes—
524#117×C47C2312yes—
525#117×C47C2314yes—
526#117×C47C2318yes—
527C2×C4⋊C4×C47C2314yes—
528C2×C4⋊C4×C47C2311yescharacteristic
529C2×C4⋊C4×C47C2312yes—
530C2×C42×C47C2312yes—
531C2×C42×C47C2311yescharacteristic
532C23×D47C2411yescharacteristic
533#41×C47—28no—
534C2×Q8×C47—24no—
535C2×Q8×C47C2412yes—
536C2×Q8×C47C2412yes—
537C2×Q8×C47C2412yes—
538C2×Q8×C47C2412yes—
539C2×Q8×C47C2412yes—
540C2×D4×C47C2412yes—
541C2×D4×C47C2414yes—
542C2×D4×C47C2412yes—
543C2×D4×C47C2412yes—
544C22×C4×C47C2411yescharacteristic
545C22×C4×C47C2412yes—
546C22×C4×C47C2414yes—
547C22×C4×C47C2412yes—
548C22×C4×C47C2411yescharacteristic
549C22×C4×C47C2418yes—
550C22×C4×C47C2411yescharacteristic
551C2×C22⋊D47C2414yes—
552C2×C22⋊D47C2414yes—
553C2×C22⋊D47C2414yes—
554C2×C22⋊D47C2418yes—
555C2×C22⋊D47C2418yes—
556C22×Dic47C2411yescharacteristic
557C22×Dic47C2414yes—
558C22×Dic47C2411yescharacteristic
559C22×Dic47C2418yes—
560C22×Dic47C2411yescharacteristic
561C22×Dic47C2412yes—
562C22×Dic47C2414yes—
563C22×Dic47C2412yes—
564#10625354—28no—
565#10625354—44no—
566Q8×D47—28no—
567Q8×D47—28no—
568Q8×D47—28no—
569Q8×D47—28no—
570Q8×D47—216no—
571#10625352—232no—
572#10625352—28no—
573#10625352—216no—
574#10625352—44no—
575#10625350—28no—
576#10625350—216no—
577#10625350—416no—
578C2×D188C2412yes—
579C2×D188C2414yes—
580C2×D188C2412yes—
581C2×D188C2414yes—
582C2×D188C2412yes—
583C2×C4×D47—24no—
584C2×C4×D47—28no—
585C2×C4×D47—24no—
586C2×C4×D47—44no—
587C2×C4×D47—42no—
588C2×C4×D47C2411yescharacteristic
589C2×C4×D47C2411yescharacteristic
590C2×C4×D47C2411yescharacteristic
591C2×C4×D47C2414yes—
592C2×C4×D47C2414yes—
593C2×C4×D47C2411yescharacteristic
594C2×C4×D47C2411yescharacteristic
595C2×C4×D47C2414yes—
596C2×C4×D47C2414yes—
597C2×C4×D47C2411yescharacteristic
598C2×C4×D47C2411yescharacteristic
599C2×C4×D47C2411yescharacteristic
600C2×C4×D47C2411yescharacteristic
601C2×C4×D47C2418yes—
602C2×C4×D47C2414yes—
603C2×C4×D47C2411yescharacteristic
604C2×C4×D47C2414yes—
605C2×C4×D47C2411yescharacteristic
606C2×C4×D47C2418yes—
607C2×C4×D47C2414yes—
608C2×C4×D47C2411yescharacteristic
609C2×Dic94—28no—
610C2×Dic94—216no—
611C2×Dic94#4118yescomplemented
612C2×Dic94C2412yes—
613C2×Dic94C2412yes—
614C2×Dic94C2414yes—
615C2×Dic94C2414yes—
616C2×Dic94C2418yes—
617C2×Dic94C2418yes—
618C2×Dic94C2412yes—
619C2×Dic94C2412yes—
620C2×Dic94C2412yes—
621C4⋊C4×C47C2412yes—
622C4⋊C4×C47C2412yes—
623C4⋊C4×C47C2412yes—
624C4⋊C4×C47C2418yes—
625C4⋊C4×C47C2414yes—
626C4⋊C4×C47C2414yes—
627C4⋊C4×C47C2412yes—
628C4⋊C4×C47C2414yes—
629C4⋊C4×C47C2418yes—
630C4⋊C4×C47C2412yes—
631C4⋊C4×C47C2412yes—
632C4⋊C4×C47C2412yes—
633C4⋊C4×C47C2414yes—
634C4⋊C4×C47C2418yes—
635C4⋊C4×C47C2412yes—
636C22⋊C4×C47C2414yes—
637C22⋊C4×C47C2414yes—
638C22⋊C4×C47C2418yes—
639C22⋊C4×C47C2418yes—
640C22⋊C4×C47C2414yes—
641C22⋊C4×C47C2418yes—
642C42×C47C2414yes—
643C42×C47C2411yescharacteristic
644C42×C47C2411yescharacteristic
645C42×C47C2414yes—
646C42×C47C2411yescharacteristic
647C42×C47C2411yescharacteristic
648C42×C47C2418yes—
649C42×C47C2414yes—
650C22⋊Dic47C2414yes—
651C22⋊Dic47C2414yes—
652C22⋊Dic47C2414yes—
653C22⋊Dic47C2418yes—
654C22⋊Dic47C2414yes—
655C22⋊Dic47C2414yes—
656(C2×D47)⋊C4C2414yes—
657(C2×D47)⋊C4C2414yes—
658(C2×D47)⋊C4C2414yes—
659(C2×D47)⋊C4C2414yes—
660(C2×D47)⋊C4C2418yes—
661(C2×D47)⋊C4C2414yes—
662(C2×D47)⋊C4C2418yes—
663(C2×D47)⋊C4C2414yes—
664(C2×D47)⋊C4C2414yes—
665(C2×D47)⋊C4C2414yes—
666(C2×D47)⋊C4C2418yes—
667(C2×D47)⋊C4C2418yes—
668(C2×D47)⋊C4C2414yes—
669(C2×D47)⋊C4C2414yes—
670C4⋊Dic47C2412yes—
671C4⋊Dic47C2412yes—
672C4⋊Dic47C2414yes—
673C4⋊Dic47C2414yes—
674C4⋊Dic47C2412yes—
675C4⋊Dic47C2414yes—
676C4⋊Dic47C2412yes—
677C4⋊Dic47C2414yes—
678C4⋊Dic47C2412yes—
679C4⋊Dic47C2412yes—
680C4⋊Dic47C2412yes—
681C4⋊Dic47C2412yes—
682C4⋊Dic47C2414yes—
683C4⋊Dic47C2414yes—
684C4⋊Dic47C2418yes—
685Dic47⋊C4C2414yes—
686Dic47⋊C4C2414yes—
687Dic47⋊C4C2414yes—
688Dic47⋊C4C2414yes—
689Dic47⋊C4C2414yes—
690Dic47⋊C4C2414yes—
691Dic47⋊C4C2418yes—
692Dic47⋊C4C2418yes—
693Dic47⋊C4C2414yes—
694Dic47⋊C4C2418yes—
695Dic47⋊C4C2414yes—
696Dic47⋊C4C2414yes—
697Dic47⋊C4C2418yes—
698Dic47⋊C4C2414yes—
699Dic47⋊C4C2414yes—
700Dic47⋊C4C2414yes—
701Dic47⋊C4C2418yes—
702Dic47⋊C4C2418yes—
703Dic47⋊C4C2418yes—
704Dic47⋊C4C2418yes—
705C4×Dic47C2411yescharacteristic
706C4×Dic47C2414yes—
707C4×Dic47C2411yescharacteristic
708C4×Dic47C2411yescharacteristic
709C4×Dic47C2411yescharacteristic
710C4×Dic47C2414yes—
711C4×Dic47C2414yes—
712C4×Dic47C2414yes—
713C4×Dic47C2411yescharacteristic
714C4×Dic47C2411yescharacteristic
715C4×Dic47C2411yescharacteristic
716C4×Dic47C2411yescharacteristic
717C4×Dic47C2414yes—
718C4×Dic47C2411yescharacteristic
719C4×Dic47C2414yes—
720C4×Dic47C2411yescharacteristic
721C4×Dic47C2411yescharacteristic
722C4×Dic47C2411yescharacteristic
723C4×Dic47C2414yes—
724C4×Dic47C2414yes—
725C4×Dic47C2414yes—
726C4×Dic47C2418yes—
727C4×Dic47C2414yes—
728C4×Dic47C2418yes—
729C4×Dic47C2418yes—
730C4×Dic47C2414yes—
731C23×C47C2514yes—
732C23×C47C2511yescharacteristic
733C22×D47—22no—
734C22×D47—22no—
735C22×D47—22no—
736C22×D47C2514yes—
737C22×D47C2511yescharacteristic
738C22×D47C2511yescharacteristic
739Q8×C47—24no—
740Q8×C47—24no—
741Q8×C47—24no—
742Q8×C47—24no—
743Q8×C47—42no—
744D4×C47—28no—
745D4×C47—24no—
746D4×C47—24no—
747D4×C47—42no—
748C2×C4×C47—24no—
749C2×C4×C47—28no—
750C2×C4×C47—22no—
751C2×C4×C47—41no—
752C2×C4×C47—42no—
753C2×C4×C47—48no—
754C2×C4×C47C2×#4114yes—
755C2×C4×C47C2511yescharacteristic
756C2×C4×C47C2514yes—
757C2×C4×C47C2514yes—
758C2×C4×C47C2514yes—
759C2×C4×C47C2511yescharacteristic
760C2×C4×C47C2514yes—
761C2×C4×C47C2514yes—
762C2×C4×C47C2511yescharacteristic
763C2×C4×C47C2511yescharacteristic
764C2×C4×C47C2511yescharacteristic
765C2×C4×C47C2511yescharacteristic
766C22⋊D47—28no—
767C22⋊D47—28no—
768C22⋊D47—28no—
769C22⋊D47—216no—
770C22⋊D47—48no—
771C2×Dic47—22no—
772C2×Dic47—216no—
773C2×Dic47—22no—
774C2×Dic47—28no—
775C2×Dic47—42no—
776C2×Dic47—41no—
777C2×Dic47—44no—
778C2×Dic47C2×#4118yes—
779C2×Dic47C2511yescharacteristic
780C2×Dic47C2511yescharacteristic
781C2×Dic47C2511yescharacteristic
782C2×Dic47C2514yes—
783C2×Dic47C2514yes—
784C2×Dic47C2514yes—
785C2×Dic47C2514yes—
786C2×Dic47C2511yescharacteristic
787C2×Dic47C2511yescharacteristic
788C2×Dic47C2514yes—
789C2×Dic47C2511yescharacteristic
790D188—28no—
791D188—28no—
792D188—24no—
793D188—24no—
794D188—42no—
795C4×D47—22no—
796C4×D47—28no—
797C4×D47—22no—
798C4×D47—22no—
799C4×D47—22no—
800C4×D47—22no—
801C4×D47—22no—
802C4×D47—22no—
803C4×D47—28no—
804C4×D47—22no—
805C4×D47—28no—
806C4×D47—28no—
807C4×D47—216no—
808C4×D47—22no—
809C4×D47—28no—
810C4×D47—44no—
811C4×D47—41no—
812C4×D47—41no—
813C4×D47—48no—
814C4×D47—44no—
815C4×D472−1+414yescomplemented
816Dic94—24no—
817Dic94—24no—
818Dic94—216no—
819Dic94—28no—
820Dic94—28no—
821Dic94—48no—
822Dic94—42no—
823Dic94C2×#4118yes—
824Dic94C2×#4118yes—
825#62788—471nomaximal, Sylow
826C22×C47—21no—
827C22×C47—21no—
828C22×C47—24no—
829C22×C47—24no—
830C22×C47—24no—
831C22×C47C22×#4112yes—
832C22×C47C2611yescharacteristic
833C2×D47—28no—
834C2×D47—21no—
835C2×D47—21no—
836C2×D47—21no—
837C2×D47—21no—
838C2×D47—24no—
839C2×D47—24no—
840C2×D47—24no—
841C2×D47C2×2−1+412yes—
842C2×D47#58512yes—
843C4×C47—24no—
844C4×C47—24no—
845C4×C47—21no—
846C4×C47—24no—
847C4×C47—21no—
848C4×C47—24no—
849C4×C47—24no—
850C4×C47—21no—
851C4×C47C22×#4112yes—
852C4×C47C22×#4112yes—
853C4×C47C2×2−1+412yes—
854Dic47—21no—
855Dic47—21no—
856Dic47—24no—
857Dic47—24no—
858Dic47—21no—
859Dic47—24no—
860Dic47—24no—
861Dic47—21no—
862Dic47—21no—
863Dic47C22×#4118yes—
864Dic47C2×2−1+412yes—
865#3523—472no—
866#3523—472no—
867#3522—472no—
868#3522—472no—
869#3516—474no—
870#3516—474no—
871#3507—474no—
872#3507—471no—
873#3507D4711yescharacteristic, complemented
874#3502—471no—
875#3497—471no—
876#3492—474no—
877#3492—472no—
878#3486—472no—
879#3482—474no—
880#3482—474no—
881#3480—472no—
882#3480—472no—
883Q8×#41—472no—
884Q8×#41—472no—
885#3461—474no—
886#3461—472no—
887#3444—471no—
888#3444—471no—
889#3444—474no—
890C4×2−1+4—472no—
891C22×C4×Q8—471no—
892C2×C47—22no—
893C2×C47—44no—
894C2×C47C23×#4111yescharacteristic
895C2×C47C22×2−1+411yescharacteristic
896C2×C47C2×#58511yescharacteristic
897D47—22no—
898D47—22no—
899D47—44no—
900C2×2−1+4—472no—
901C23×Q8—471no—
902#559—474no—
903#559—472no—
904#559—474no—
905#559C2×D4712yescomplemented
906Q82—472no—
907Q82—472no—
908#557—472no—
909#557—474no—
910#557—474no—
911#557—474no—
912#557—472no—
913#557—472no—
914#557—474no—
915#557C2×D4712yescomplemented
916#556—478no—
917#556—474no—
918#556—474no—
919#556—474no—
920#556—472no—
921#556—478no—
922#556C2×D4712yescomplemented
923#556C2×D4714yescomplemented
924#554—478no—
925#554—474no—
926#554—478no—
927#554—474no—
928#554—472no—
929#554—474no—
930#554—474no—
931#554C2×D4712yescomplemented
932#553—478no—
933#553—478no—
934#553—474no—
935#553—474no—
936#552—478no—
937#552—478no—
938#552—478no—
939#552—474no—
940#552—474no—
941#552—478no—
942#552—474no—
943#552C2×D4714yescomplemented
944#550—472no—
945#550—472no—
946D4×Q8—474no—
947D4×Q8—474no—
948D4×Q8—472no—
949D4×Q8—474no—
950D4×Q8—474no—
951D4×Q8—472no—
952#548—474no—
953#548—474no—
954#548—474no—
955#548—474no—
956#548—474no—
957#548—474no—
958#547—478no—
959#547—478no—
960#547—474no—
961#547—474no—
962#544—474no—
963#544—472no—
964#542—474no—
965#542—478no—
966#542—478no—
967#542—474no—
968#541—474no—
969#541—478no—
970#541—478no—
971#541—474no—
972#539—478no—
973#539—478no—
974#539—474no—
975#539C2×D4714yes—
976#537—472no—
977#537—474no—
978#536—472no—
979#536—478no—
980#536C2×D4712yes—
981#533—471no—
982#533—471no—
983#533—471no—
984#533—471no—
985#533—474no—
986#533—474no—
987#533—478no—
988#533—474no—
989#533—474no—
990#533—478no—
991#533—474no—
992#533—471no—
993#533C2×D4711yescharacteristic
994#532—471no—
995#532—471no—
996#532—471no—
997#532—471no—
998#532—474no—
999#532—474no—
1000#532—474no—
1001#532—471no—
1002#532C2×D4711yescharacteristic
1003#529—478no—
1004#529—478no—
1005#529—478no—
1006#529—472no—
1007#529—472no—
1008#529—474no—
1009#529—472no—
1010#529—472no—
1011#529—474no—
1012#529—474no—
1013#529—478no—
1014#529—478no—
1015#529—472no—
1016#529—472no—
1017#529—474no—
1018#529—472no—
1019#529—472no—
1020#529—472no—
1021#529—472no—
1022#529—472no—
1023#529—472no—
1024#529—478no—
1025#529—474no—
1026#529C2×D4714yes—
1027#525—472no—
1028#525—478no—
1029#525—472no—
1030#525—472no—
1031#525—472no—
1032#525—472no—
1033#525—478no—
1034#525—472no—
1035#520—478no—
1036#520—474no—
1037#520—472no—
1038#520—474no—
1039#520C2×D4712yes—
1040#519—474no—
1041#519—472no—
1042#519—474no—
1043C4×#41—472no—
1044C4×#41—474no—
1045C4×#41—472no—
1046C4×#41—472no—
1047C4×#41—478no—
1048C4×#41—474no—
1049C4×#41—474no—
1050C4×#41—472no—
1051C4×#41—472no—
1052C4×#41—472no—
1053C4×#41—474no—
1054C4×#41—478no—
1055C2×C4×Q8—471no—
1056C2×C4×Q8—472no—
1057C2×C4×Q8—472no—
1058C2×C4×Q8—472no—
1059C2×C4×Q8—472no—
1060C2×C4×Q8—472no—
1061C2×C4×Q8—472no—
1062C2×C4×Q8—472no—
1063C2×C4×Q8—472no—
1064C2×C4×Q8—474no—
1065C2×C4×Q8—471no—
1066C2×C4×Q8—472no—
1067C2×C4×Q8—474no—
1068C2×C4×Q8—471no—
1069C2×C4×Q8—472no—
1070C2×C4×Q8C2×D4711yescharacteristic
1071C22×C4⋊C4—472no—
1072C22×C4⋊C4—471no—
1073C22×C42—471no—
1074C22×C42—472no—
1075C47#6278811yescharacteristic, complemented, Sylow
10762−1+4—9416no—
1077C2×#41—472no—
1078C2×#41—472no—
1079C2×#41—472no—
1080C2×#41—478no—
1081C2×#41—474no—
1082C2×#41—472no—
1083C2×#41—472no—
1084C2×#41—474no—
1085C2×#41—478no—
1086C2×#41C22×D4712yes—
1087C22×Q8—472no—
1088C22×Q8—472no—
1089C22×Q8—472no—
1090C22×Q8—472no—
1091C22×Q8—474no—
1092C22×Q8—471no—
1093C22×Q8—472no—
1094C22×Q8—474no—
1095C22×Q8—948no—
1096C22×Q8C22×D4711yescharacteristic
1097C23×C4—472no—
1098C23×C4—471no—
1099C23×C4—471no—
1100C23×C4—471no—
1101C23×C4—472no—
1102C4⋊Q8—474no—
1103C4⋊Q8—474no—
1104C4⋊Q8—478no—
1105C4⋊Q8—474no—
1106C4⋊Q8—474no—
1107C4⋊Q8—478no—
1108C4⋊Q8—478no—
1109C4⋊Q8—478no—
1110C4⋊Q8—474no—
1111C4⋊Q8—471no—
1112C4⋊Q8—471no—
1113C4⋊Q8—471no—
1114C4⋊Q8—474no—
1115C4⋊Q8C22×D4711yescharacteristic
1116C4⋊Q8C22×D4711yescharacteristic
1117C4⋊Q8C22×D4711yescharacteristic
1118C4⋊Q8C22×D4714yes—
1119#127—474no—
1120#127—471no—
1121#127C22×D4711yescharacteristic
1122#126—474no—
1123#126—478no—
1124#126—474no—
1125#126—478no—
1126#126—478no—
1127#126—478no—
1128#126—474no—
1129#126—474no—
1130#126—478no—
1131#126—478no—
1132#126—478no—
1133#126—478no—
1134#126C22×D4718yes—
1135#126C22×D4718yes—
1136#125—478no—
1137#125—472no—
1138#125—472no—
1139#125—478no—
1140#125—472no—
1141#125—472no—
1142#125—478no—
1143#125—478no—
1144#125—474no—
1145#125—478no—
1146#125—478no—
1147#125—478no—
1148#125—478no—
1149#125—472no—
1150#125—474no—
1151#125—474no—
1152#125—478no—
1153#125C22×D4712yes—
1154#125C22×D4714yes—
1155#125C22×D4718yes—
1156#124—472no—
1157#124—472no—
1158#124—474no—
1159#124—472no—
1160#124—472no—
1161#124—478no—
1162#124—478no—
1163#124—478no—
1164#124—478no—
1165#124—472no—
1166#124—474no—
1167#124C22×D4712yes—
1168#124C22×D4714yes—
1169#124C22×D4714yes—
1170#123—474no—
1171#123—478no—
1172#123—478no—
1173#123—474no—
1174#123—474no—
1175#123—478no—
1176#123—478no—
1177#123—474no—
1178#123—474no—
1179#123—474no—
1180#123—478no—
1181#123—478no—
1182#123—478no—
1183#123—478no—
1184#123C22×D4718yes—
1185#123C22×D4718yes—
1186C22⋊Q8—472no—
1187C22⋊Q8—472no—
1188C22⋊Q8—472no—
1189C22⋊Q8—472no—
1190C22⋊Q8—474no—
1191C22⋊Q8—474no—
1192C22⋊Q8—474no—
1193C22⋊Q8—472no—
1194C22⋊Q8—472no—
1195C22⋊Q8—474no—
1196C22⋊Q8—478no—
1197C22⋊Q8—472no—
1198C22⋊Q8—478no—
1199C22⋊Q8—472no—
1200C22⋊Q8—478no—
1201C22⋊Q8—472no—
1202C22⋊Q8—478no—
1203C22⋊Q8—472no—
1204C22⋊Q8—478no—
1205C22⋊Q8—478no—
1206C22⋊Q8—478no—
1207C22⋊Q8—478no—
1208C22⋊Q8—478no—
1209C22⋊Q8—478no—
1210C22⋊Q8—478no—
1211C22⋊Q8—478no—
1212C22⋊Q8—478no—
1213C22⋊Q8—478no—
1214C22⋊Q8—478no—
1215C22⋊Q8C22×D4712yes—
1216C22⋊Q8C22×D4712yes—
1217C22⋊Q8C22×D4714yes—
1218C22⋊Q8C22×D4714yes—
1219C22⋊Q8C22×D4718yes—
1220#121—472no—
1221#121—478no—
1222#121—472no—
1223#121—472no—
1224#121—472no—
1225#121—474no—
1226#121—478no—
1227#121—472no—
1228#121—472no—
1229#121—474no—
1230#121—472no—
1231#121—472no—
1232#121—472no—
1233#121—472no—
1234#121—478no—
1235#121—478no—
1236#121—478no—
1237#121—478no—
1238#121C22×D4712yes—
1239#121C22×D4712yes—
1240#120—474no—
1241#120—474no—
1242C4×Q8—472no—
1243C4×Q8—472no—
1244C4×Q8—472no—
1245C4×Q8—472no—
1246C4×Q8—472no—
1247C4×Q8—472no—
1248C4×Q8—472no—
1249C4×Q8—472no—
1250C4×Q8—474no—
1251C4×Q8—472no—
1252C4×Q8—472no—
1253C4×Q8—472no—
1254C4×Q8—472no—
1255C4×Q8—474no—
1256C4×Q8—474no—
1257C4×Q8—474no—
1258C4×Q8—474no—
1259C4×Q8—478no—
1260C4×Q8—472no—
1261C4×Q8—474no—
1262C4×Q8—478no—
1263C4×Q8—474no—
1264C4×Q8—472no—
1265C4×Q8—474no—
1266C4×Q8—478no—
1267C4×Q8—472no—
1268C4×Q8—472no—
1269C4×Q8—478no—
1270C4×Q8—474no—
1271C4×Q8—472no—
1272C4×Q8—472no—
1273C4×Q8—472no—
1274C4×Q8—472no—
1275C4×Q8—474no—
1276C4×Q8—474no—
1277C4×Q8—474no—
1278C4×Q8—474no—
1279C4×Q8—474no—
1280C4×Q8—478no—
1281C4×Q8—478no—
1282C4×Q8—474no—
1283C4×Q8—474no—
1284C4×Q8—472no—
1285C4×Q8—472no—
1286C4×Q8C22×D4712yes—
1287C4×Q8C22×D4712yes—
1288C4×Q8C22×D4712yes—
1289C4×Q8C22×D4712yes—
1290C4×Q8C22×D4714yes—
1291C4×Q8C22×D4712yes—
1292C4×Q8C22×D4712yes—
1293C4×Q8C22×D4714yes—
1294C4×D4—474no—
1295C4×D4—472no—
1296C4×D4—474no—
1297C4×D4—472no—
1298C4×D4—472no—
1299C4×D4—474no—
1300C4×D4—472no—
1301C4×D4—478no—
1302C4×D4—478no—
1303C4×D4—478no—
1304C4×D4—474no—
1305C4×D4—474no—
1306C4×D4—478no—
1307C4×D4—474no—
1308C4×D4—472no—
1309C4×D4—472no—
1310C4×D4—474no—
1311C4×D4—478no—
1312C4×D4—478no—
1313C4×D4—474no—
1314C4×D4—472no—
1315C4×D4—474no—
1316C4×D4—472no—
1317C4×D4—474no—
1318C4×D4—474no—
1319C4×D4—478no—
1320C4×D4—474no—
1321C4×D4—478no—
1322C4×D4—478no—
1323C4×D4—478no—
1324C4×D4—474no—
1325C4×D4—478no—
1326C4×D4—478no—
1327C4×D4—474no—
1328C4×D4—474no—
1329C4×D4—478no—
1330C4×D4—472no—
1331C4×D4—472no—
1332C4×D4—474no—
1333C4×D4C22×D4718yes—
1334C4×D4C22×D4714yes—
1335C4×D4C22×D4712yes—
1336C4×D4C22×D4712yes—
1337C4×D4C22×D4714yes—
1338#117—472no—
1339#117—474no—
1340#117—472no—
1341#117—472no—
1342#117—478no—
1343#117—474no—
1344#117—472no—
1345#117—472no—
1346#117—474no—
1347#117—478no—
1348#117—474no—
1349#117—478no—
1350#117—478no—
1351#117—478no—
1352#117—478no—
1353#117—474no—
1354#117—474no—
1355#117—474no—
1356#117—478no—
1357#117—478no—
1358#117—478no—
1359#117C22×D4712yes—
1360#117C22×D4714yes—
1361#117C22×D4718yes—
1362C2×C4⋊C4—472no—
1363C2×C4⋊C4—472no—
1364C2×C4⋊C4—471no—
1365C2×C4⋊C4—472no—
1366C2×C4⋊C4—472no—
1367C2×C4⋊C4—478no—
1368C2×C4⋊C4—474no—
1369C2×C4⋊C4—474no—
1370C2×C4⋊C4—472no—
1371C2×C4⋊C4—472no—
1372C2×C4⋊C4—474no—
1373C2×C4⋊C4—474no—
1374C2×C4⋊C4—472no—
1375C2×C4⋊C4—472no—
1376C2×C4⋊C4—478no—
1377C2×C4⋊C4—474no—
1378C2×C4⋊C4C22×D4711yescharacteristic
1379C2×C4⋊C4C22×D4712yes—
1380C2×C4⋊C4C22×D4714yes—
1381C2×C42—472no—
1382C2×C42—471no—
1383C2×C42—471no—
1384C2×C42—472no—
1385C2×C42—471no—
1386C2×C42—472no—
1387C2×C42—478no—
1388C2×C42—474no—
1389C2×C42—471no—
1390C2×C42—471no—
1391C2×C42—474no—
1392C2×C42—471no—
1393C2×C42—471no—
1394C2×C42—474no—
1395C2×C42—471no—
1396C2×C42—471no—
1397C2×C42—474no—
1398C2×C42—471no—
1399C2×C42—471no—
1400C2×C42—474no—
1401C2×C42—474no—
1402C2×C42—478no—
1403C2×C42C22×D4712yes—
1404C2×C42C22×D4711yescharacteristic
1405C24—471no—
1406#41—28no—
1407#41—9416no—
1408#41—948no—
1409#41—9432no—
1410#41—948no—
1411#41—9416no—
1412#41—948no—
1413#41—18816no—
1414#41—1884no—
1415#41—1884no—
1416C2×Q8—24no—
1417C2×Q8—478no—
1418C2×Q8—472no—
1419C2×Q8—472no—
1420C2×Q8—472no—
1421C2×Q8—474no—
1422C2×Q8—474no—
1423C2×Q8—478no—
1424C2×Q8—472no—
1425C2×Q8—472no—
1426C2×Q8—478no—
1427C2×Q8—948no—
1428C2×Q8—9416no—
1429C2×Q8—948no—
1430C2×Q8—948no—
1431C2×Q8—948no—
1432C2×Q8—948no—
1433C2×Q8—9416no—
1434C2×Q8C23×D4712yes—
1435C2×Q8C23×D4712yes—
1436C2×Q8C23×D4712yes—
1437C2×Q8C23×D4712yes—
1438C2×Q8C23×D4712yes—
1439C2×D4—474no—
1440C2×D4—474no—
1441C2×D4—474no—
1442C2×D4—478no—
1443C2×D4—478no—
1444C2×D4—474no—
1445C2×D4—472no—
1446C2×D4—474no—
1447C2×D4—472no—
1448C2×D4—472no—
1449C2×D4C23×D4712yes—
1450C2×D4C23×D4714yes—
1451C2×D4C23×D4712yes—
1452C2×D4C23×D4712yes—
1453C22×C4—472no—
1454C22×C4—471no—
1455C22×C4—471no—
1456C22×C4—474no—
1457C22×C4—471no—
1458C22×C4—478no—
1459C22×C4—471no—
1460C22×C4—472no—
1461C22×C4—474no—
1462C22×C4—471no—
1463C22×C4—471no—
1464C22×C4—471no—
1465C22×C4—474no—
1466C22×C4—471no—
1467C22×C4—471no—
1468C22×C4—474no—
1469C22×C4—474no—
1470C22×C4—474no—
1471C22×C4—471no—
1472C22×C4—471no—
1473C22×C4—471no—
1474C22×C4—471no—
1475C22×C4—478no—
1476C22×C4—474no—
1477C22×C4—471no—
1478C22×C4—471no—
1479C22×C4—474no—
1480C22×C4—474no—
1481C22×C4—478no—
1482C22×C4—944no—
1483C22×C4—948no—
1484C22×C4—944no—
1485C22×C4—1884no—
1486C22×C4—1882no—
1487C22×C4C23×D4711yescharacteristic
1488C22×C4C23×D4712yes—
1489C22×C4C23×D4714yes—
1490C22×C4C23×D4712yes—
1491C22×C4C23×D4711yescharacteristic
1492C22×C4C23×D4718yes—
1493C22×C4C23×D4711yescharacteristic
1494C4⋊C4—474no—
1495C4⋊C4—474no—
1496C4⋊C4—474no—
1497C4⋊C4—474no—
1498C4⋊C4—474no—
1499C4⋊C4—474no—
1500C4⋊C4—478no—
1501C4⋊C4—474no—
1502C4⋊C4—478no—
1503C4⋊C4—478no—
1504C4⋊C4—474no—
1505C4⋊C4—474no—
1506C4⋊C4—478no—
1507C4⋊C4—478no—
1508C4⋊C4—474no—
1509C4⋊C4—478no—
1510C4⋊C4—474no—
1511C4⋊C4—478no—
1512C4⋊C4—474no—
1513C4⋊C4—478no—
1514C4⋊C4—472no—
1515C4⋊C4—472no—
1516C4⋊C4—474no—
1517C4⋊C4—474no—
1518C4⋊C4—472no—
1519C4⋊C4—474no—
1520C4⋊C4—472no—
1521C4⋊C4—474no—
1522C4⋊C4—472no—
1523C4⋊C4—472no—
1524C4⋊C4—472no—
1525C4⋊C4—472no—
1526C4⋊C4—474no—
1527C4⋊C4—474no—
1528C4⋊C4—478no—
1529C4⋊C4C23×D4712yes—
1530C4⋊C4C23×D4712yes—
1531C4⋊C4C23×D4714yes—
1532C4⋊C4C23×D4714yes—
1533C4⋊C4C23×D4718yes—
1534C4⋊C4C23×D4712yes—
1535C4⋊C4C23×D4714yes—
1536C4⋊C4C23×D4712yes—
1537C4⋊C4C23×D4712yes—
1538C4⋊C4C23×D4712yes—
1539C4⋊C4C23×D4718yes—
1540C4⋊C4C23×D4714yes—
1541C4⋊C4C23×D4712yes—
1542C4⋊C4C23×D4712yes—
1543C4⋊C4C23×D4718yes—
1544C22⋊C4—474no—
1545C22⋊C4—474no—
1546C22⋊C4—474no—
1547C22⋊C4—478no—
1548C22⋊C4—474no—
1549C22⋊C4—474no—
1550C22⋊C4—474no—
1551C22⋊C4—474no—
1552C22⋊C4—474no—
1553C22⋊C4—478no—
1554C22⋊C4—474no—
1555C22⋊C4—474no—
1556C22⋊C4—474no—
1557C22⋊C4—474no—
1558C22⋊C4—474no—
1559C22⋊C4—478no—
1560C22⋊C4—474no—
1561C22⋊C4—478no—
1562C22⋊C4—478no—
1563C22⋊C4—474no—
1564C22⋊C4C23×D4714yes—
1565C22⋊C4C23×D4718yes—
1566C22⋊C4C23×D4714yes—
1567C22⋊C4C23×D4714yes—
1568C22⋊C4C23×D4718yes—
1569C22⋊C4C23×D4718yes—
1570C42—474no—
1571C42—471no—
1572C42—471no—
1573C42—471no—
1574C42—471no—
1575C42—474no—
1576C42—474no—
1577C42—474no—
1578C42—474no—
1579C42—471no—
1580C42—471no—
1581C42—471no—
1582C42—471no—
1583C42—474no—
1584C42—471no—
1585C42—471no—
1586C42—474no—
1587C42—471no—
1588C42—471no—
1589C42—474no—
1590C42—474no—
1591C42—474no—
1592C42—478no—
1593C42—478no—
1594C42—478no—
1595C42—474no—
1596C42C23×D4714yes—
1597C42C23×D4711yescharacteristic
1598C42C23×D4711yescharacteristic
1599C42C23×D4714yes—
1600C42C23×D4711yescharacteristic
1601C42C23×D4711yescharacteristic
1602C42C23×D4718yes—
1603C42C23×D4714yes—
1604C23—471no—
1605C23—471no—
1606C23—474no—
1607C23—942no—
1608C23—942no—
1609C23—942no—
1610C23C24×D4714yes—
1611C23C24×D4711yescharacteristic
1612Q8—24no—
1613Q8—24no—
1614Q8—24no—
1615Q8—24no—
1616Q8—42no—
1617Q8—478no—
1618Q8—478no—
1619Q8—948no—
1620Q8—948no—
1621Q8—9416no—
1622Q8—944no—
1623Q8—944no—
1624Q8—1888no—
1625Q8—1882no—
1626D4—28no—
1627D4—24no—
1628D4—24no—
1629D4—42no—
1630D4—948no—
1631D4—948no—
1632D4—9416no—
1633D4—948no—
1634D4—948no—
1635D4—948no—
1636D4—944no—
1637D4—944no—
1638D4—1882no—
1639D4—1888no—
1640C2×C4—24no—
1641C2×C4—28no—
1642C2×C4—22no—
1643C2×C4—42no—
1644C2×C4—41no—
1645C2×C4—48no—
1646C2×C4—478no—
1647C2×C4—471no—
1648C2×C4—474no—
1649C2×C4—474no—
1650C2×C4—471no—
1651C2×C4—471no—
1652C2×C4—471no—
1653C2×C4—474no—
1654C2×C4—471no—
1655C2×C4—471no—
1656C2×C4—474no—
1657C2×C4—474no—
1658C2×C4—474no—
1659C2×C4—942no—
1660C2×C4—948no—
1661C2×C4—948no—
1662C2×C4—9416no—
1663C2×C4—948no—
1664C2×C4—942no—
1665C2×C4—948no—
1666C2×C4—942no—
1667C2×C4—942no—
1668C2×C4—942no—
1669C2×C4—9416no—
1670C2×C4—948no—
1671C2×C4—942no—
1672C2×C4—942no—
1673C2×C4—942no—
1674C2×C4—942no—
1675C2×C4—942no—
1676C2×C4—948no—
1677C2×C4—942no—
1678C2×C4—1884no—
1679C2×C4—1881no—
1680C2×C4—1881no—
1681C2×C4—1888no—
1682C2×C4—1884no—
1683C2×C4—1881no—
1684C2×C4—1882no—
1685C2×C4—1884no—
1686C2×C4#41×D4714yes—
1687C2×C4C24×D4711yescharacteristic
1688C2×C4C24×D4714yes—
1689C2×C4C24×D4714yes—
1690C2×C4C24×D4714yes—
1691C2×C4C24×D4714yes—
1692C2×C4C24×D4714yes—
1693C2×C4C24×D4711yescharacteristic
1694C2×C4C24×D4711yescharacteristic
1695C2×C4C24×D4711yescharacteristic
1696C2×C4C24×D4711yescharacteristic
1697C2×C4C24×D4711yescharacteristic
1698C22—21no—
1699C22—21no—
1700C22—24no—
1701C22—24no—
1702C22—24no—
1703C22—472no—
1704C22—472no—
1705C22—948no—
1706C22—941no—
1707C22—941no—
1708C22—941no—
1709C22—941no—
1710C22—944no—
1711C22—944no—
1712C22—944no—
1713C22C2×#41×D4712yes—
1714C22C25×D4711yescharacteristic
1715C4—24no—
1716C4—24no—
1717C4—21no—
1718C4—24no—
1719C4—24no—
1720C4—24no—
1721C4—21no—
1722C4—21no—
1723C4—478no—
1724C4—472no—
1725C4—944no—
1726C4—941no—
1727C4—941no—
1728C4—941no—
1729C4—944no—
1730C4—941no—
1731C4—941no—
1732C4—944no—
1733C4—944no—
1734C4C2×#41×D4712yes—
1735C4C2×#41×D4712yes—
1736C42−1+4×D4712yes—
1737C2—22no—
1738C2—44no—
1739C2—942no—
1740C2—942no—
1741C2—1884no—
1742C2C22×#41×D4711yescharacteristic
1743C2C2×2−1+4×D4711yescharacteristic
1744C2#585×D4711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D47
commutator, socle, cosocleC22×C47C26
FittingC47×#3507C2
hypercenter#3507D47
hypocenterC47#62788
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ #3507

Complements

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

NH ≅ G/Ntype
1. #20257483C2semidirect
2. #20257481C2semidirect
3. #20257472C2semidirect
4. #20257470C2semidirect
5. #20257380C2semidirect
6. #20257376C2semidirect
7. #20257253C2semidirect
8. #20257244C2semidirect
9. #20257193C2semidirect
10. #20257154C2semidirect
11. #20257093C2semidirect
12. #20257091C2semidirect
13. #20257037C2semidirect
14. #20257007C2semidirect
15. #20257002C2semidirect
16. #20256984C2semidirect
17. #20256980C2semidirect
18. #20256970C2semidirect
19. #20256967C2semidirect
20. #20256818C2semidirect
21. #20256812C2semidirect
22. #20256685C2semidirect
23. #20256683C2semidirect
24. #20256682C2semidirect
25. #20256599C2semidirect
26. C2×C4×Q8×D47C2semidirect
27. C47×#3507C2semidirect
30. #15689858C22semidirect
31. #15689856C22semidirect
32. #15689855C22semidirect
33. Q8×Dic94C22semidirect
34. #15689853C22semidirect
35. #15689851C22semidirect
36. #15689851C22semidirect
37. #15689851C22semidirect
38. #15689850C22semidirect
39. #15689850C22semidirect
40. #15689849C22semidirect
41. #15689848C22semidirect
42. #15689846C22semidirect
43. #15689845C22semidirect
44. #15689845C22semidirect
45. #15689842C22semidirect
46. #15689841C22semidirect
47. #15689840C22semidirect
49. #15689833C22semidirect
50. #15689832C22semidirect
52. #15689829C22semidirect
60. #15689814C22semidirect
63. #15689809C22semidirect
64. #15689806C22semidirect
66. #15689794C22semidirect
67. #15689793C22semidirect
68. D4×Dic94C22semidirect
71. #15689788C22semidirect
76. #15689782C22semidirect
79. #15689781C22semidirect
86. #15689746C22semidirect
87. #15689743C22semidirect
88. #15689742C22semidirect
89. #15689741C22semidirect
90. #15689734C22semidirect
91. #15689733C22semidirect
92. #15689732C22semidirect
93. #15689730C22semidirect
103. #15689679C22semidirect
108. #15689678C22semidirect
111. #15689675C22semidirect
112. #15689675C22semidirect
125. #15689659C22semidirect
132. #15689656C22semidirect
140. #15689652C22semidirect
143. #15689650C22semidirect
153. #15689604C22semidirect
155. #15689602C22semidirect
157. #15689600C22semidirect
158. #15689599C22semidirect
165. #15689591C22semidirect
170. C4×#10625352C22semidirect
176. C2×#13093989C22semidirect
185. C4×Q8×D47C22semidirect
190. C47×#559C22semidirect
191. C47×#557C22semidirect
192. C47×#556C22semidirect
193. C47×#556C22semidirect
194. C47×#554C22semidirect
195. C47×#552C22semidirect
611. C2×Dic94#41semidirect
815. C4×D472−1+4semidirect
873. #3507D47semidirect
905. #559C2×D47semidirect
915. #557C2×D47semidirect
922. #556C2×D47semidirect
923. #556C2×D47semidirect
931. #554C2×D47semidirect
943. #552C2×D47semidirect
1075. C47#62788semidirect

Maximal subgroups

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

subgroupindex
#202574832
#202574812
#202574722
#202574702
#202573802
#202573762
#202572532
#202572442
#202571932
#202571542
#202570932
#202570912
#202570372
#202570072
#202570022
#202569842
#202569802
#202569702
#202569672
#202568182
#202568122
#202566852
#202566832
#202566822
#202565992
C2×C4×Q8×D472
C47×#35072
#6278847