Finite Group Databasebeta

← #27124857

Subgroups — #27124857

Order 12032.

7210 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257306C214yesmaximal, complemented
2#20257298C212yesmaximal, complemented
3#20257288C212yesmaximal, complemented
4#20257281C214yesmaximal, complemented
5#20257268C212yesmaximal, complemented
6#20257258C212yesmaximal, complemented
7#20257255C211yesmaximal, characteristic, complemented
8#20257250C211yesmaximal, characteristic, complemented
9#20257246C212yesmaximal, complemented
10#20257240C211yesmaximal, characteristic, complemented
11#20257239C212yesmaximal, complemented
12#20257226C214yesmaximal, complemented
13#20257216C214yesmaximal, complemented
14#20256987C212yesmaximal, complemented
15#20256984C214yesmaximal, complemented
16#20256980C212yesmaximal, complemented
17#20256951C212yesmaximal, complemented
18#20256947C214yesmaximal, complemented
19#20256945C212yesmaximal, complemented
20#20256770C214yesmaximal, complemented
21#20256719C212yesmaximal, complemented
22#20256680C214yesmaximal, complemented
23#533×D47C211yesmaximal, characteristic, complemented
24#532×D47C211yesmaximal, characteristic, complemented
25#20256588C212yesmaximal, complemented
26C2×C4×#10625352C211yesmaximal, characteristic, complemented
27C47×#3506C211yesmaximal, characteristic, complemented
28C22×#10625352C2211yescharacteristic
29C2×#41×D47C2212yes—
30#15689859C2214yescomplemented
31#15689859C2212yescomplemented
32#15689858C2212yescomplemented
33#15689856C2214yescomplemented
34#15689856C2214yescomplemented
35#15689855C2214yescomplemented
36#15689852C2212yescomplemented
37#15689851C2214yescomplemented
38#15689848C2212yescomplemented
39#15689847C2212yescomplemented
40#15689846C2214yescomplemented
41#15689845C2214yescomplemented
42#15689843C2214yescomplemented
43#15689843C2212yescomplemented
44#15689843C2212yescomplemented
45#15689842C2214yescomplemented
46#15689842C2214yescomplemented
47#15689841C2214yescomplemented
48#15689838C2212yescomplemented
49#15689837C2214yescomplemented
50#15689834C2212yescomplemented
51#15689830C2212yescomplemented
52#15689828C2214yescomplemented
53#15689825C2214yescomplemented
54#15689824C2218yescomplemented
55#15689823C2214yescomplemented
56#15689823C2218yescomplemented
57#15689820C2214yescomplemented
58#15689820C2214yescomplemented
59#15689820C2218yescomplemented
60#15689818C2218yescomplemented
61#15689818C2218yescomplemented
62#15689817C2214yescomplemented
63#15689813C2214yescomplemented
64#15689812C2214yescomplemented
65#15689812C2214yescomplemented
66#15689811C2214yescomplemented
67#15689809C2218yescomplemented
68#15689808C2214yescomplemented
69#15689807C2214yescomplemented
70#15689803C2218yescomplemented
71#15689802C2218yescomplemented
72#15689801C2218yescomplemented
73#15689796C2218yescomplemented
74#15689794C2212yescomplemented
75#15689793C2214yescomplemented
76#15689783C2214yescomplemented
77#15689781C2218yescomplemented
78#15689780C2214yescomplemented
79#15689778C2212yescomplemented
80#15689773C2214yescomplemented
81#15689770C2214yescomplemented
82#15689762C2218yescomplemented
83#15689761C2214yescomplemented
84#15689741C2218yescomplemented
85#15689737C2218yescomplemented
86#15689730C2218yescomplemented
87#15689723C2218yescomplemented
88#15689722C2214yescomplemented
89#15689718C2214yescomplemented
90#15689715C2218yescomplemented
91#15689711C2214yescomplemented
92#15689708C2218yescomplemented
93#15689702C2214yescomplemented
94#15689702C2214yescomplemented
95#15689699C2212yescomplemented
96#15689694C2212yescomplemented
97#15689693C2214yes—
98#15689690C2212yescomplemented
99#15689686C2214yes—
100#15689683C2218yes—
101#15689680C2211yescharacteristic, complemented
102#15689679C2212yescomplemented
103#15689678C2211yescharacteristic, complemented
104#15689678C2211yescharacteristic, complemented
105#15689677C2212yescomplemented
106#15689677C2212yescomplemented
107#15689676C2214yescomplemented
108#15689676C2212yescomplemented
109#15689675C2212yescomplemented
110#15689675C2214yescomplemented
111#15689675C2212yescomplemented
112#15689674C2211yescharacteristic, complemented
113#15689673C2211yescharacteristic
114#15689672C2212yescomplemented
115#15689672C2214yescomplemented
116#15689671C2211yescharacteristic, complemented
117#15689671C2214yescomplemented
118#15689670C2212yescomplemented
119#15689670C2212yescomplemented
120#15689669C2212yes—
121#15689669C2214yescomplemented
122#15689668C2212yes—
123#15689668C2212yes—
124#15689668C2214yescomplemented
125C4⋊Q8×D47C2211yescharacteristic, complemented
126C4⋊Q8×D47C2211yescharacteristic, complemented
127C4⋊Q8×D47C2211yescharacteristic, complemented
128#127×D47C2211yescharacteristic, complemented
129#15689659C2214yescomplemented
130#15689659C2214yescomplemented
131#15689656C2218yescomplemented
132#15689654C2218yescomplemented
133#15689654C2214yescomplemented
134#15689654C2214yescomplemented
135#15689653C2218yescomplemented
136#15689653C2218yescomplemented
137#15689652C2218yescomplemented
138#15689650C2218yescomplemented
139#15689650C2218yescomplemented
140#15689650C2218yescomplemented
141#125×D47C2212yescomplemented
142#124×D47C2212yescomplemented
143#15689634C2214yescomplemented
144#15689633C2214yes—
145#15689633C2214yes—
146#15689629C2218yescomplemented
147#15689629C2218yescomplemented
148C22⋊Q8×D47C2212yes—
149C22⋊Q8×D47C2212yes—
150#121×D47C2212yes—
151#121×D47C2212yes—
152#15689606C2212yescomplemented
153#15689604C2214yescomplemented
154#15689604C2212yescomplemented
155#15689603C2214yescomplemented
156#15689603C2212yescomplemented
157#15689599C2214yescomplemented
158#15689595C2218yes—
159#15689595C2214yescomplemented
160#41×Dic47C2214yescomplemented
161C4×#10625354C2214yescomplemented
162#15689591C2214yescomplemented
163C4×#10625352C2212yes—
164C4×#10625352C2212yes—
165C4×#10625352C2212yes—
166C4×#10625352C2212yes—
167C4×#10625352C2218yescomplemented
168C4×#10625352C2212yescomplemented
169C4×#10625352C2212yescomplemented
170C4×#10625352C2212yescomplemented
171C4×#10625352C2212yescomplemented
172C4×#10625352C2214yescomplemented
173C4×#10625352C2218yescomplemented
174C2×C4×Dic94C2211yescharacteristic, complemented
175C2×#13093989C2211yescharacteristic, complemented
176C4×Q8×D47C2212yescomplemented
177C4×Q8×D47C2212yescomplemented
178C2×D4×Dic47C2211yescharacteristic, complemented
179C2×C4×C22⋊D47C2212yes—
180C2×(C22⋊D47)⋊C4C2212yes—
181C4×D4×D47C2212yescomplemented
182C4×D4×D47C2212yescomplemented
183C2×#13093982C2211yescharacteristic
184C2×#13093982C2214yescomplemented
185C2×#13093980C2212yescomplemented
186#117×D47C2212yes—
187#117×D47C2214yescomplemented
188C22×C4×Dic47C2212yescomplemented
189C2×C42×D47C2211yescharacteristic
190C47×#559C2214yescomplemented
191C47×#556C2212yescomplemented
192C47×#555C2212yescomplemented
193C47×#553C2214yescomplemented
194C47×#550C2212yescomplemented
195C47×#547C2212yescomplemented
196C47×#538C2214yescomplemented
197C47×#535C2212yescomplemented
198C47×#533C2211yescharacteristic, complemented
199C47×#532C2211yescharacteristic
200C47×#525C2214yescomplemented
201C47×#520C2212yescomplemented
202C2×C4×D4×C47C2211yescharacteristic, complemented
203C2×#10625354C2312yes—
204C2×#10625350C2312yes—
205C2×#10625350C2314yes—
206C2×#10625350C2314yes—
207C2×#10625352—28no—
208C2×#10625352C2312yes—
209C2×#10625352C2312yes—
210C2×#10625352C2314yes—
211C2×#10625352C2312yes—
212C2×#10625352C2312yes—
213C2×#10625352C2312yes—
214C2×#10625352C2318yes—
215#41×D47—216no—
216C22×Dic94C2311yescharacteristic
217C2×Q8×D47C2312yes—
218C2×Q8×D47C2312yes—
219C2×Q8×D47C2312yes—
220C22×C22⋊D47C2312yes—
221C2×D4×D47C2314yes—
222C2×D4×D47C2312yes—
223C2×D4×D47C2312yes—
224C2×D4×D47C2312yes—
225C23×Dic47C2312yes—
226C23×Dic47C2312yes—
227C22×C4×D47C2314yes—
228C22×C4×D47C2311yescharacteristic
229C22×C4×D47C2311yescharacteristic
230C22×C4×D47C2311yescharacteristic
231#13094024C2311yescharacteristic
232#13094024C2311yescharacteristic
233#13094024C2311yescharacteristic
234#13094024C2314yes—
235#13094023C2312yes—
236#13094023C2312yes—
237#13094023C2312yes—
238#13094023C2312yes—
239#13094023C2312yes—
240#13094023C2312yes—
241#13094022C2312yes—
242#13094022C2312yes—
243#13094022C2314yes—
244#13094022C2312yes—
245#13094021C2311yescharacteristic
246#13094020C2312yes—
247#13094020C2314yes—
248#13094020C2312yes—
249#13094020C2312yes—
250#13094019C2318yes—
251#13094019C2318yes—
252#13094019C2318yes—
253#13094018C2318yes—
254#13094017C2318yes—
255#13094017C2318yes—
256#13094017C2318yes—
257#13094017C2318yes—
258#13094017C2318yes—
259#13094017C2318yes—
260#13094017C2318yes—
261#13094016C2318yes—
262#13094016C2312yes—
263#13094015C2318yes—
264#13094015C2314yes—
265#13094015C2312yes—
266#13094015C2312yes—
267#13094015C2314yes—
268#13094014C2314yes—
269#13094014C2318yes—
270#13094014C2318yes—
271#13094014C2318yes—
272#13094014C2314yes—
273#13094013C2314yes—
274#13094013C2312yes—
275#13094012C2314yes—
276#13094012C2312yes—
277#13094011C2318yes—
278#13094011C2314yes—
279#13094011C2314yes—
280#13094011C2314yes—
281#13094011C2312yes—
282#13094010C2314yes—
283#13094010C2318yes—
284#13094010C2318yes—
285#13094010C2318yes—
286#13094010C2314yes—
287#13094009C2318yes—
288#13094008C2318yes—
289#13094008C2318yes—
290#13094007C2318yes—
291#13094007C2318yes—
292#13094006C2318yes—
293#13094006C2318yes—
294#13094006C2318yes—
295#13094006C2318yes—
296#13094006C2318yes—
297#13094005C2318yes—
298#13094005C2318yes—
299#13094005C2318yes—
300#13094005C2318yes—
301#13094004C2312yes—
302#13094004C2312yes—
303#13094004C2314yes—
304#13094004C2314yes—
305#13094003C2318yes—
306#13094003C2314yes—
307#13094003C2314yes—
308#13094003C2314yes—
309#13094003C2312yes—
310#13094003C2312yes—
311#13094002C2318yes—
312#13094002C2314yes—
313#13094002C2314yes—
314#13094001C2318yes—
315#13094001C2318yes—
316#13094001C2318yes—
317#13094001C2318yes—
318#13094001C2314yes—
319#13094001C2314yes—
320#13094000C2318yes—
321#13094000C2312yes—
322#13094000C2312yes—
323#13093999C2312yes—
324#13093999C2312yes—
325#13093998C2314yes—
326#13093998C2312yes—
327#13093998C2312yes—
328#13093997C2318yes—
329#13093997C2314yes—
330#13093997C2318yes—
331#13093997C2318yes—
332#13093997C2314yes—
333#13093996C2318yes—
334#13093996C2318yes—
335#13093996C2318yes—
336#13093996C2318yes—
337#13093996C2314yes—
338#13093996C2314yes—
339#13093995C2318yes—
340#13093995C2314yes—
341#13093995C2314yes—
342#13093995C2312yes—
343#13093995C2318yes—
344#13093995C2318yes—
345#13093995C2312yes—
346#13093993C2318yes—
347#13093992C2318yes—
348#13093992C2318yes—
349Q8×Dic47C2314yes—
350Q8×Dic47C2312yes—
351Q8×Dic47C2312yes—
352Q8×Dic47C2314yes—
353C4×Dic94C2318yes—
354C4×Dic94C2318yes—
355C4×Dic94C2314yes—
356C4×Dic94C2312yes—
357C4×Dic94C2312yes—
358C4×Dic94C2312yes—
359C4×Dic94C2312yes—
360C4×Dic94C2314yes—
361C4×Dic94C2312yes—
362C4×Dic94C2314yes—
363C4×Dic94C2312yes—
364#13093989C2318yes—
365#13093989C2314yes—
366#13093989C2312yes—
367#13093989C2312yes—
368#13093989C2314yes—
369#13093989C2312yes—
370#13093989C2312yes—
371#13093989C2314yes—
372#13093989C2312yes—
373#13093989C2312yes—
374#13093989C2314yes—
375C4×D188C2312yes—
376C4×D188C2318yes—
377C4×D188C2314yes—
378C4×D188C2312yes—
379D4×Dic47C2314yes—
380D4×Dic47C2312yes—
381D4×Dic47C2312yes—
382D4×Dic47C2314yes—
383D4×Dic47C2318yes—
384D4×Dic47C2312yes—
385D4×Dic47C2312yes—
386D4×Dic47C2312yes—
387D4×Dic47C2312yes—
388D4×Dic47C2318yes—
389D4×Dic47C2318yes—
390D4×Dic47C2318yes—
391#13093986C2314yes—
392#13093986C2318yes—
393#13093986C2314yes—
394#13093986C2312yes—
395#13093986C2312yes—
396C4×C22⋊D47C2318yes—
397C4×C22⋊D47C2314yes—
398C4×C22⋊D47C2318yes—
399C4×C22⋊D47C2314yes—
400C4×C22⋊D47C2314yes—
401C4×C22⋊D47C2318yes—
402C4×C22⋊D47C2314yes—
403C4×C22⋊D47C2318yes—
404C4×C22⋊D47C2314yes—
405C4×C22⋊D47C2314yes—
406C4×C22⋊D47C2318yes—
407(C22⋊D47)⋊C4C2318yes—
408(C22⋊D47)⋊C4C2314yes—
409(C22⋊D47)⋊C4C2314yes—
410(C22⋊D47)⋊C4C2318yes—
411(C22⋊D47)⋊C4C2314yes—
412(C22⋊D47)⋊C4C2318yes—
413(C22⋊D47)⋊C4C2314yes—
414(C22⋊D47)⋊C4C2314yes—
415(C22⋊D47)⋊C4C2314yes—
416(C22⋊D47)⋊C4C2318yes—
417(C22⋊D47)⋊C4C2318yes—
418(C22⋊D47)⋊C4C2318yes—
419#13093983C2318yes—
420#13093983C2314yes—
421#13093983C2314yes—
422#13093983C2312yes—
423#13093982C2318yes—
424#13093982C2318yes—
425#13093982C2314yes—
426#13093982C2314yes—
427#13093982C2312yes—
428#13093982C2312yes—
429#13093982C2312yes—
430#13093982C2312yes—
431#13093982C2312yes—
432#13093982C2312yes—
433#13093982C2318yes—
434#13093981C2318yes—
435#13093981C2318yes—
436#13093981C2314yes—
437#13093980C2314yes—
438#13093980C2314yes—
439#13093980C2318yes—
440#13093980C2318yes—
441#13093980C2314yes—
442#13093980C2318yes—
443#13093980C2314yes—
444#13093980C2314yes—
445C2×C4⋊Dic47C2314yes—
446C2×C4⋊Dic47C2311yescharacteristic
447C2×Dic47⋊C4C2312yes—
448C2×Dic47⋊C4C2312yes—
449C4⋊C4×D47C2314yes—
450C4⋊C4×D47C2314yes—
451C4⋊C4×D47C2312yes—
452C4⋊C4×D47C2312yes—
453C4⋊C4×D47C2312yes—
454C4⋊C4×D47C2312yes—
455C4⋊C4×D47C2314yes—
456C4⋊C4×D47C2314yes—
457C4⋊C4×D47C2312yes—
458C4⋊C4×D47C2312yes—
459C2×C22⋊Dic47C2312yes—
460C2×(C2×D47)⋊C4C2318yes—
461C2×(C2×D47)⋊C4C2312yes—
462C22⋊C4×D47C2318yes—
463C22⋊C4×D47C2314yes—
464C22⋊C4×D47C2314yes—
465C22⋊C4×D47C2314yes—
466C2×C4×Dic47C2311yescharacteristic
467C2×C4×Dic47C2311yescharacteristic
468C2×C4×Dic47C2311yescharacteristic
469C2×C4×Dic47C2312yes—
470C2×C4×Dic47C2312yes—
471C2×C4×Dic47C2312yes—
472C2×C4×Dic47C2314yes—
473C2×C4×Dic47C2314yes—
474C2×C4×Dic47C2314yes—
475C2×C4×Dic47C2314yes—
476C2×C4×Dic47C2318yes—
477C42×D47C2311yescharacteristic
478C42×D47C2311yescharacteristic
479C42×D47C2311yescharacteristic
480C42×D47C2311yescharacteristic
481C42×D47C2311yescharacteristic
482C42×D47C2311yescharacteristic
483C42×D47C2311yescharacteristic
484C42×D47C2311yescharacteristic
485C42×D47C2314yes—
486C42×D47C2318yes—
487C2×#41×C47C2312yes—
488C2×#41×C47C2314yes—
489C22×D4×C47C2311yescharacteristic
490C23×C4×C47C2312yes—
491C4⋊Q8×C47C2311yescharacteristic
492C4⋊Q8×C47C2311yescharacteristic
493C4⋊Q8×C47C2311yescharacteristic
494#127×C47C2314yes—
495#127×C47C2311yescharacteristic
496#126×C47C2318yes—
497#125×C47C2312yes—
498#124×C47C2318yes—
499#124×C47C2312yes—
500#124×C47C2314yes—
501#123×C47C2318yes—
502#123×C47C2318yes—
503C22⋊Q8×C47C2314yes—
504C22⋊Q8×C47C2312yes—
505C22⋊Q8×C47C2312yes—
506#121×C47C2318yes—
507#121×C47C2314yes—
508#121×C47C2314yes—
509#121×C47C2312yes—
510#121×C47C2312yes—
511#121×C47C2314yes—
512#120×C47C2318yes—
513C4×Q8×C47C2314yes—
514C4×Q8×C47C2312yes—
515C4×Q8×C47C2312yes—
516C4×D4×C47C2312yes—
517C4×D4×C47C2312yes—
518C4×D4×C47C2312yes—
519C4×D4×C47C2312yes—
520C4×D4×C47C2318yes—
521C4×D4×C47C2314yes—
522C4×D4×C47C2318yes—
523C4×D4×C47C2312yes—
524C4×D4×C47C2312yes—
525#117×C47C2312yes—
526#117×C47C2314yes—
527#117×C47C2314yes—
528C2×C4⋊C4×C47C2311yescharacteristic
529C2×C4⋊C4×C47C2314yes—
530C2×C22⋊C4×C47C2312yes—
531C2×C42×C47C2311yescharacteristic
532C24×C47C2412yes—
533C23×D47C2414yes—
534C23×D47C2411yescharacteristic
535#41×C47—28no—
536#41×C47—48no—
537C2×Q8×C47C2412yes—
538C2×Q8×C47C2412yes—
539C2×Q8×C47C2412yes—
540C2×D4×C47—24no—
541C2×D4×C47C2414yes—
542C2×D4×C47C2412yes—
543C2×D4×C47C2412yes—
544C2×D4×C47C2412yes—
545C2×D4×C47C2412yes—
546C2×D4×C47C2418yes—
547C2×D4×C47C2412yes—
548C2×D4×C47C2418yes—
549C22×C4×C47—44no—
550C22×C4×C47C2411yescharacteristic
551C22×C4×C47C2414yes—
552C22×C4×C47C2414yes—
553C22×C4×C47C2411yescharacteristic
554C22×C4×C47C2412yes—
555C22×C4×C47C2418yes—
556C22×C4×C47C2414yes—
557C22×C4×C47C2411yescharacteristic
558C2×C22⋊D47—28no—
559C2×C22⋊D47C2414yes—
560C2×C22⋊D47C2414yes—
561C2×C22⋊D47C2414yes—
562C2×C22⋊D47C2414yes—
563C2×C22⋊D47C2414yes—
564C2×C22⋊D47C2414yes—
565C2×C22⋊D47C2418yes—
566C2×C22⋊D47C2418yes—
567C2×C22⋊D47C2414yes—
568C22×Dic47—28no—
569C22×Dic47—44no—
570C22×Dic47C2411yescharacteristic
571C22×Dic47C2412yes—
572C22×Dic47C2414yes—
573C22×Dic47C2414yes—
574C22×Dic47C2414yes—
575C22×Dic47C2414yes—
576C22×Dic47C2412yes—
577C22×Dic47C2411yescharacteristic
578C22×Dic47C2414yes—
579C22×Dic47C2418yes—
580C22×Dic47C2411yescharacteristic
581#10625354—28no—
582Q8×D47—28no—
583Q8×D47—44no—
584Q8×D47—44no—
585#10625352—216no—
586#10625352—28no—
587#10625352—28no—
588#10625352—28no—
589#10625352—28no—
590#10625352—28no—
591#10625352—416no—
592D4×D47—216no—
593D4×D47—28no—
594D4×D47—44no—
595D4×D47—44no—
596#10625350—28no—
597#10625350—216no—
598#10625350—48no—
599C2×D188C2412yes—
600C2×D188C2414yes—
601C2×D188C2412yes—
602C2×D188C2412yes—
603C2×C4×D47—216no—
604C2×C4×D47—42no—
605C2×C4×D47—42no—
606C2×C4×D47#4118yescomplemented
607C2×C4×D47C2411yescharacteristic
608C2×C4×D47C2411yescharacteristic
609C2×C4×D47C2411yescharacteristic
610C2×C4×D47C2411yescharacteristic
611C2×C4×D47C2414yes—
612C2×C4×D47C2414yes—
613C2×C4×D47C2414yes—
614C2×C4×D47C2411yescharacteristic
615C2×C4×D47C2411yescharacteristic
616C2×C4×D47C2411yescharacteristic
617C2×C4×D47C2411yescharacteristic
618C2×C4×D47C2414yes—
619C2×C4×D47C2414yes—
620C2×C4×D47C2418yes—
621C2×C4×D47C2418yes—
622C2×C4×D47C2411yescharacteristic
623C2×C4×D47C2411yescharacteristic
624C2×C4×D47C2411yescharacteristic
625C2×C4×D47C2411yescharacteristic
626C2×Dic94—24no—
627C2×Dic94C2412yes—
628C2×Dic94C2414yes—
629C2×Dic94C2412yes—
630C2×Dic94C2412yes—
631C2×Dic94C2412yes—
632C2×Dic94C2414yes—
633C2×Dic94C2412yes—
634C2×Dic94C2414yes—
635C4⋊C4×C47C2412yes—
636C4⋊C4×C47C2412yes—
637C4⋊C4×C47C2412yes—
638C4⋊C4×C47C2418yes—
639C4⋊C4×C47C2412yes—
640C4⋊C4×C47C2412yes—
641C4⋊C4×C47C2412yes—
642C4⋊C4×C47C2414yes—
643C4⋊C4×C47C2412yes—
644C4⋊C4×C47C2414yes—
645C4⋊C4×C47C2412yes—
646C22⋊C4×C47C2414yes—
647C22⋊C4×C47C2414yes—
648C22⋊C4×C47C2414yes—
649C22⋊C4×C47C2418yes—
650C22⋊C4×C47C2418yes—
651C22⋊C4×C47C2414yes—
652C22⋊C4×C47C2418yes—
653C22⋊C4×C47C2414yes—
654C42×C47C2411yescharacteristic
655C42×C47C2411yescharacteristic
656C42×C47C2411yescharacteristic
657C42×C47C2411yescharacteristic
658C42×C47C2418yes—
659C42×C47C2414yes—
660C22⋊Dic47C2414yes—
661C22⋊Dic47C2418yes—
662C22⋊Dic47C2414yes—
663C22⋊Dic47C2414yes—
664C22⋊Dic47C2414yes—
665C22⋊Dic47C2414yes—
666C22⋊Dic47C2418yes—
667C22⋊Dic47C2418yes—
668C22⋊Dic47C2418yes—
669C22⋊Dic47C2418yes—
670(C2×D47)⋊C4C2414yes—
671(C2×D47)⋊C4C2414yes—
672(C2×D47)⋊C4C2414yes—
673(C2×D47)⋊C4C2414yes—
674(C2×D47)⋊C4C2414yes—
675(C2×D47)⋊C4C2414yes—
676(C2×D47)⋊C4C2414yes—
677(C2×D47)⋊C4C2414yes—
678(C2×D47)⋊C4C2418yes—
679(C2×D47)⋊C4C2418yes—
680(C2×D47)⋊C4C2418yes—
681(C2×D47)⋊C4C2418yes—
682C4⋊Dic47C2412yes—
683C4⋊Dic47C2412yes—
684C4⋊Dic47C2412yes—
685C4⋊Dic47C2412yes—
686C4⋊Dic47C2414yes—
687C4⋊Dic47C2412yes—
688C4⋊Dic47C2412yes—
689C4⋊Dic47C2414yes—
690C4⋊Dic47C2412yes—
691C4⋊Dic47C2412yes—
692C4⋊Dic47C2418yes—
693C4⋊Dic47C2418yes—
694C4⋊Dic47C2418yes—
695Dic47⋊C4C2414yes—
696Dic47⋊C4C2414yes—
697Dic47⋊C4C2414yes—
698Dic47⋊C4C2414yes—
699Dic47⋊C4C2418yes—
700Dic47⋊C4C2414yes—
701Dic47⋊C4C2418yes—
702Dic47⋊C4C2414yes—
703Dic47⋊C4C2414yes—
704Dic47⋊C4C2414yes—
705Dic47⋊C4C2414yes—
706Dic47⋊C4C2414yes—
707Dic47⋊C4C2414yes—
708Dic47⋊C4C2414yes—
709Dic47⋊C4C2414yes—
710Dic47⋊C4C2414yes—
711Dic47⋊C4C2418yes—
712Dic47⋊C4C2418yes—
713C4×Dic47C2414yes—
714C4×Dic47C2414yes—
715C4×Dic47C2411yescharacteristic
716C4×Dic47C2411yescharacteristic
717C4×Dic47C2411yescharacteristic
718C4×Dic47C2411yescharacteristic
719C4×Dic47C2411yescharacteristic
720C4×Dic47C2411yescharacteristic
721C4×Dic47C2411yescharacteristic
722C4×Dic47C2411yescharacteristic
723C4×Dic47C2411yescharacteristic
724C4×Dic47C2411yescharacteristic
725C4×Dic47C2411yescharacteristic
726C4×Dic47C2411yescharacteristic
727C4×Dic47C2414yes—
728C4×Dic47C2418yes—
729C4×Dic47C2414yes—
730C4×Dic47C2414yes—
731C4×Dic47C2414yes—
732C4×Dic47C2414yes—
733C4×Dic47C2414yes—
734C4×Dic47C2414yes—
735C4×Dic47C2418yes—
736C4×Dic47C2418yes—
737C23×C47—24no—
738C23×C47—42no—
739C23×C47—42no—
740C23×C47C2514yes—
741C23×C47C2514yes—
742C23×C47C2511yescharacteristic
743C22×D47—28no—
744C22×D47—41no—
745C22×D47—41no—
746C22×D47—44no—
747C22×D47—44no—
748C22×D47C2×#4114yes—
749C22×D47C2514yes—
750C22×D47C2511yescharacteristic
751C22×D47C2511yescharacteristic
752Q8×C47—24no—
753Q8×C47—24no—
754Q8×C47—42no—
755D4×C47—28no—
756D4×C47—24no—
757D4×C47—24no—
758D4×C47—24no—
759D4×C47—24no—
760D4×C47—42no—
761D4×C47—48no—
762D4×C47—48no—
763C2×C4×C47—28no—
764C2×C4×C47—22no—
765C2×C4×C47—28no—
766C2×C4×C47—41no—
767C2×C4×C47—42no—
768C2×C4×C47—44no—
769C2×C4×C47—48no—
770C2×C4×C47C2×#4114yes—
771C2×C4×C47C2514yes—
772C2×C4×C47C2511yescharacteristic
773C2×C4×C47C2514yes—
774C2×C4×C47C2511yescharacteristic
775C2×C4×C47C2514yes—
776C2×C4×C47C2511yescharacteristic
777C2×C4×C47C2514yes—
778C2×C4×C47C2511yescharacteristic
779C2×C4×C47C2511yescharacteristic
780C2×C4×C47C2511yescharacteristic
781C22⋊D47—28no—
782C22⋊D47—28no—
783C22⋊D47—28no—
784C22⋊D47—28no—
785C22⋊D47—28no—
786C22⋊D47—28no—
787C22⋊D47—48no—
788C22⋊D47—44no—
789C22⋊D47—48no—
790C2×Dic47—24no—
791C2×Dic47—28no—
792C2×Dic47—28no—
793C2×Dic47—28no—
794C2×Dic47—22no—
795C2×Dic47—28no—
796C2×Dic47—41no—
797C2×Dic47—48no—
798C2×Dic47—42no—
799C2×Dic47—44no—
800C2×Dic47C2×#4114yes—
801C2×Dic47C2514yes—
802C2×Dic47C2511yescharacteristic
803C2×Dic47C2511yescharacteristic
804C2×Dic47C2514yes—
805C2×Dic47C2514yes—
806C2×Dic47C2511yescharacteristic
807C2×Dic47C2514yes—
808C2×Dic47C2514yes—
809C2×Dic47C2511yescharacteristic
810C2×Dic47C2511yescharacteristic
811C2×Dic47C2511yescharacteristic
812D188—28no—
813D188—24no—
814D188—24no—
815D188—42no—
816C4×D47—28no—
817C4×D47—28no—
818C4×D47—22no—
819C4×D47—22no—
820C4×D47—28no—
821C4×D47—22no—
822C4×D47—22no—
823C4×D47—41no—
824C4×D47—41no—
825C4×D47—41no—
826C4×D47—41no—
827C4×D47—48no—
828C4×D47—48no—
829C4×D47—44no—
830C4×D47—44no—
831C4×D47C2×#4114yes—
832C4×D47C2×#4114yes—
833C4×D47C2×#4114yes—
834C4×D47C2×#4114yes—
835Dic94—24no—
836Dic94—24no—
837Dic94—24no—
838Dic94—24no—
839Dic94—28no—
840Dic94—28no—
841Dic94—44no—
842Dic94—42no—
843#62815—471nomaximal, Sylow
844C22×C47—21no—
845C22×C47—21no—
846C22×C47—24no—
847C22×C47—24no—
848C22×C47—24no—
849C22×C47—24no—
850C22×C47—24no—
851C22×C47—24no—
852C22×C47—48no—
853C22×C47C22×#4112yes—
854C22×C47C2611yescharacteristic
855C2×D47—21no—
856C2×D47—21no—
857C2×D47—21no—
858C2×D47—21no—
859C2×D47—24no—
860C2×D47—24no—
861C2×D47—24no—
862C2×D47—44no—
863C2×D47—88no—
864C2×D47C22×#4112yes—
865C2×D47C22×#4112yes—
866C4×C47—24no—
867C4×C47—24no—
868C4×C47—21no—
869C4×C47—24no—
870C4×C47—21no—
871C4×C47—21no—
872C4×C47—24no—
873C4×C47C22×#4112yes—
874C4×C47C22×#4112yes—
875C4×C47#58512yes—
876Dic47—24no—
877Dic47—24no—
878Dic47—24no—
879Dic47—24no—
880Dic47—21no—
881Dic47—21no—
882Dic47—21no—
883Dic47—24no—
884Dic47C22×#4112yes—
885Dic47C22×#4112yes—
886Dic47#58512yes—
887#3512—474no—
888#3511—472no—
889#3511—472no—
890#3510—474no—
891#3509—472no—
892#3508—472no—
893#3507—471no—
894#3507—471no—
895#3507—472no—
896#3506—472no—
897#3506—471no—
898#3506D4711yescharacteristic, complemented
899#3505—474no—
900#3505—474no—
901#3480—474no—
902#3480—472no—
903#3480—472no—
904#3475—472no—
905#3475—474no—
906#3475—472no—
907#3455—474no—
908#3449—472no—
909#3444—474no—
910C2×#533—471no—
911C2×#532—471no—
912#3428—472no—
913C2×C4×#41—471no—
914C2×C47—22no—
915C2×C47—44no—
916C2×C47—44no—
917C2×C47C23×#4111yescharacteristic
918C2×C47C2×#58511yescharacteristic
919C2×C47C2×#58511yescharacteristic
920D47—22no—
921D47—22no—
922D47—44no—
923C22×#41—472no—
924C22×#41—471no—
925#559—474no—
926#559—472no—
927#559—474no—
928#559—472no—
929#559—474no—
930#559—474no—
931#559C2×D4714yescomplemented
932#557—472no—
933#557—474no—
934#557—472no—
935#556—472no—
936#556—474no—
937#556—474no—
938#556—474no—
939#556—474no—
940#556—472no—
941#556—472no—
942#556—474no—
943#556—474no—
944#556C2×D4712yescomplemented
945#555—474no—
946#555—472no—
947#555C2×D4712yescomplemented
948#554—472no—
949#554—472no—
950#554—474no—
951#553—478no—
952#553—478no—
953#553—478no—
954#553—474no—
955#553—474no—
956#553—478no—
957#553—474no—
958#553—474no—
959#553—478no—
960#553—474no—
961#553C2×D4714yescomplemented
962#552—478no—
963#552—474no—
964#552—474no—
965#552—474no—
966#552—474no—
967#552—474no—
968#552—474no—
969#551—478no—
970#551—478no—
971#551—478no—
972#551—478no—
973#550—474no—
974#550—472no—
975#550C2×D4712yescomplemented
976#548—474no—
977#548—478no—
978#548—474no—
979#547—474no—
980#547—472no—
981#547C2×D4712yescomplemented
982#546—474no—
983#546—478no—
984#546—474no—
985#542—478no—
986#542—478no—
987#541—478no—
988#540—478no—
989#539—474no—
990#539—474no—
991#539—478no—
992#538—478no—
993#538—474no—
994#538C2×D4714yescomplemented
995#537—474no—
996#537—474no—
997#536—472no—
998#536—474no—
999#536—472no—
1000#535—472no—
1001#535—474no—
1002#535C2×D4712yescomplemented
1003#534—478no—
1004#533—471no—
1005#533—471no—
1006#533—472no—
1007#533—472no—
1008#533—472no—
1009#533—474no—
1010#533—472no—
1011#533—472no—
1012#533—472no—
1013#533—474no—
1014#533—471no—
1015#533C2×D4711yescharacteristic, complemented
1016#532—472no—
1017#532—474no—
1018#532—471no—
1019#532—471no—
1020#532—474no—
1021#532—472no—
1022#532—474no—
1023#532—472no—
1024#532—472no—
1025#532—474no—
1026#532—472no—
1027#532—472no—
1028#532—471no—
1029#532C2×D4711yescharacteristic
1030C2×C4⋊Q8—471no—
1031C2×C4⋊Q8—471no—
1032C2×C4⋊Q8—471no—
1033C2×#127—471no—
1034#529—478no—
1035#529—478no—
1036#529—478no—
1037#529—478no—
1038#529—478no—
1039#529—474no—
1040#529—474no—
1041#529—474no—
1042#529—474no—
1043#529—478no—
1044#529—478no—
1045#529—478no—
1046C2×#125—472no—
1047C2×#124—472no—
1048#525—474no—
1049#525—474no—
1050#525—474no—
1051#525—478no—
1052#525—478no—
1053#525C2×D4714yescomplemented
1054C2×C22⋊Q8—472no—
1055C2×C22⋊Q8—472no—
1056C2×#121—472no—
1057C2×#121—472no—
1058#520—472no—
1059#520—472no—
1060#520—474no—
1061#520—472no—
1062#520—474no—
1063#520C2×D4712yescomplemented
1064#519—474no—
1065#518—478no—
1066#518—474no—
1067C4×#41—474no—
1068C4×#41—474no—
1069C4×#41—472no—
1070C4×#41—472no—
1071C4×#41—472no—
1072C4×#41—472no—
1073C4×#41—472no—
1074C4×#41—472no—
1075C4×#41—472no—
1076C4×#41—472no—
1077C4×#41—478no—
1078C4×#41—474no—
1079C4×#41—478no—
1080C4×#41—474no—
1081C2×C4×Q8—472no—
1082C2×C4×Q8—472no—
1083C2×C4×Q8—471no—
1084C2×C4×Q8—471no—
1085C2×C4×D4—471no—
1086C2×C4×D4—472no—
1087C2×C4×D4—472no—
1088C2×C4×D4—472no—
1089C2×C4×D4—472no—
1090C2×C4×D4C2×D4711yescharacteristic, complemented
1091C2×#117—472no—
1092C2×#117—474no—
1093C2×#117—471no—
1094C2×#117—474no—
1095C2×#117—472no—
1096C22×C42—472no—
1097C22×C42—471no—
1098C47#6281511yescharacteristic, complemented, Sylow
1099C2×#41—472no—
1100C2×#41—472no—
1101C2×#41—474no—
1102C2×#41—472no—
1103C2×#41—472no—
1104C2×#41—472no—
1105C2×#41—472no—
1106C2×#41—478no—
1107C2×#41—472no—
1108C2×#41—474no—
1109C2×#41—474no—
1110C2×#41—948no—
1111C2×#41—9416no—
1112C2×#41C22×D4712yes—
1113C2×#41C22×D4714yes—
1114C22×Q8—472no—
1115C22×Q8—472no—
1116C22×Q8—472no—
1117C22×Q8—471no—
1118C22×D4—472no—
1119C22×D4—474no—
1120C22×D4—472no—
1121C22×D4—472no—
1122C22×D4—472no—
1123C22×D4C22×D4711yescharacteristic
1124C23×C4—471no—
1125C23×C4—472no—
1126C23×C4—472no—
1127C23×C4—474no—
1128C23×C4—471no—
1129C23×C4—471no—
1130C23×C4C22×D4712yes—
1131C4⋊Q8—472no—
1132C4⋊Q8—472no—
1133C4⋊Q8—472no—
1134C4⋊Q8—474no—
1135C4⋊Q8—472no—
1136C4⋊Q8—472no—
1137C4⋊Q8—472no—
1138C4⋊Q8—472no—
1139C4⋊Q8—472no—
1140C4⋊Q8—472no—
1141C4⋊Q8—471no—
1142C4⋊Q8—471no—
1143C4⋊Q8—471no—
1144C4⋊Q8—474no—
1145C4⋊Q8C22×D4711yescharacteristic
1146C4⋊Q8C22×D4711yescharacteristic
1147C4⋊Q8C22×D4711yescharacteristic
1148#127—472no—
1149#127—472no—
1150#127—472no—
1151#127—474no—
1152#127—471no—
1153#127C22×D4711yescharacteristic
1154#127C22×D4714yes—
1155#126—478no—
1156#126—478no—
1157#126—478no—
1158#126—478no—
1159#126—478no—
1160#126—478no—
1161#126—478no—
1162#126—478no—
1163#126—478no—
1164#126—478no—
1165#126—478no—
1166#126C22×D4718yes—
1167#125—474no—
1168#125—474no—
1169#125—472no—
1170#125—472no—
1171#125—478no—
1172#125—474no—
1173#125—474no—
1174#125—478no—
1175#125—478no—
1176#125—478no—
1177#125—472no—
1178#125—478no—
1179#125C22×D4712yes—
1180#124—472no—
1181#124—474no—
1182#124—472no—
1183#124—474no—
1184#124—478no—
1185#124—474no—
1186#124—474no—
1187#124—474no—
1188#124—474no—
1189#124—478no—
1190#124—478no—
1191#124—478no—
1192#124—472no—
1193#124—474no—
1194#124C22×D4712yes—
1195#124C22×D4718yes—
1196#124C22×D4714yes—
1197#123—478no—
1198#123—478no—
1199#123—478no—
1200#123—478no—
1201#123—478no—
1202#123—478no—
1203#123—478no—
1204#123—478no—
1205#123—478no—
1206#123—478no—
1207#123—478no—
1208#123—478no—
1209#123—478no—
1210#123—478no—
1211#123C22×D4718yes—
1212#123C22×D4718yes—
1213C22⋊Q8—472no—
1214C22⋊Q8—472no—
1215C22⋊Q8—478no—
1216C22⋊Q8—472no—
1217C22⋊Q8—472no—
1218C22⋊Q8—474no—
1219C22⋊Q8—474no—
1220C22⋊Q8—474no—
1221C22⋊Q8—478no—
1222C22⋊Q8—474no—
1223C22⋊Q8—472no—
1224C22⋊Q8—474no—
1225C22⋊Q8—472no—
1226C22⋊Q8—474no—
1227C22⋊Q8—474no—
1228C22⋊Q8—478no—
1229C22⋊Q8—474no—
1230C22⋊Q8—474no—
1231C22⋊Q8—478no—
1232C22⋊Q8—478no—
1233C22⋊Q8—478no—
1234C22⋊Q8—478no—
1235C22⋊Q8C22×D4712yes—
1236C22⋊Q8C22×D4712yes—
1237C22⋊Q8C22×D4714yes—
1238#121—474no—
1239#121—474no—
1240#121—472no—
1241#121—472no—
1242#121—478no—
1243#121—478no—
1244#121—478no—
1245#121—474no—
1246#121—474no—
1247#121—478no—
1248#121—478no—
1249#121—478no—
1250#121—478no—
1251#121—472no—
1252#121—472no—
1253#121—474no—
1254#121—472no—
1255#121—472no—
1256#121—474no—
1257#121—474no—
1258#121—478no—
1259#121—478no—
1260#121—478no—
1261#121C22×D4712yes—
1262#121C22×D4712yes—
1263#121C22×D4714yes—
1264#121C22×D4714yes—
1265#121C22×D4714yes—
1266#121C22×D4718yes—
1267#120—478no—
1268#120—478no—
1269#120—478no—
1270#120C22×D4718yes—
1271C4×Q8—472no—
1272C4×Q8—472no—
1273C4×Q8—474no—
1274C4×Q8—474no—
1275C4×Q8—474no—
1276C4×Q8—472no—
1277C4×Q8—472no—
1278C4×Q8—472no—
1279C4×Q8—472no—
1280C4×Q8—472no—
1281C4×Q8—472no—
1282C4×Q8—474no—
1283C4×Q8—478no—
1284C4×Q8—474no—
1285C4×Q8—474no—
1286C4×Q8—472no—
1287C4×Q8—472no—
1288C4×Q8—472no—
1289C4×Q8—472no—
1290C4×Q8—474no—
1291C4×Q8—472no—
1292C4×Q8—474no—
1293C4×Q8—472no—
1294C4×Q8—478no—
1295C4×Q8—474no—
1296C4×Q8—478no—
1297C4×Q8C22×D4712yes—
1298C4×Q8C22×D4712yes—
1299C4×Q8C22×D4714yes—
1300C4×D4—472no—
1301C4×D4—472no—
1302C4×D4—472no—
1303C4×D4—472no—
1304C4×D4—472no—
1305C4×D4—472no—
1306C4×D4—478no—
1307C4×D4—474no—
1308C4×D4—478no—
1309C4×D4—478no—
1310C4×D4—478no—
1311C4×D4—474no—
1312C4×D4—474no—
1313C4×D4—474no—
1314C4×D4—474no—
1315C4×D4—474no—
1316C4×D4—474no—
1317C4×D4—474no—
1318C4×D4—478no—
1319C4×D4—478no—
1320C4×D4—478no—
1321C4×D4—478no—
1322C4×D4—478no—
1323C4×D4—472no—
1324C4×D4—472no—
1325C4×D4—478no—
1326C4×D4—474no—
1327C4×D4—474no—
1328C4×D4—474no—
1329C4×D4—474no—
1330C4×D4—474no—
1331C4×D4—474no—
1332C4×D4—474no—
1333C4×D4—474no—
1334C4×D4—478no—
1335C4×D4—478no—
1336C4×D4—478no—
1337C4×D4—478no—
1338C4×D4—478no—
1339C4×D4—478no—
1340C4×D4—472no—
1341C4×D4—472no—
1342C4×D4—478no—
1343C4×D4—474no—
1344C4×D4C22×D4712yes—
1345C4×D4C22×D4712yes—
1346C4×D4C22×D4712yes—
1347C4×D4C22×D4712yes—
1348C4×D4C22×D4712yes—
1349C4×D4C22×D4712yes—
1350C4×D4C22×D4718yes—
1351C4×D4C22×D4714yes—
1352C4×D4C22×D4718yes—
1353#117—472no—
1354#117—474no—
1355#117—474no—
1356#117—478no—
1357#117—472no—
1358#117—472no—
1359#117—472no—
1360#117—472no—
1361#117—472no—
1362#117—472no—
1363#117—478no—
1364#117—478no—
1365#117—474no—
1366#117—474no—
1367#117—478no—
1368#117—474no—
1369#117—474no—
1370#117—478no—
1371#117—474no—
1372#117—474no—
1373#117—474no—
1374#117—478no—
1375#117—478no—
1376#117—474no—
1377#117—478no—
1378#117—478no—
1379#117C22×D4712yes—
1380#117C22×D4714yes—
1381#117C22×D4714yes—
1382C2×C4⋊C4—471no—
1383C2×C4⋊C4—472no—
1384C2×C4⋊C4—472no—
1385C2×C4⋊C4—474no—
1386C2×C4⋊C4—472no—
1387C2×C4⋊C4—472no—
1388C2×C4⋊C4—474no—
1389C2×C4⋊C4—474no—
1390C2×C4⋊C4—472no—
1391C2×C4⋊C4—472no—
1392C2×C4⋊C4—474no—
1393C2×C4⋊C4—474no—
1394C2×C4⋊C4—472no—
1395C2×C4⋊C4—472no—
1396C2×C4⋊C4C22×D4711yescharacteristic
1397C2×C4⋊C4C22×D4714yes—
1398C2×C22⋊C4—472no—
1399C2×C22⋊C4—472no—
1400C2×C22⋊C4—478no—
1401C2×C22⋊C4—474no—
1402C2×C22⋊C4—478no—
1403C2×C22⋊C4—474no—
1404C2×C22⋊C4—474no—
1405C2×C22⋊C4C22×D4712yes—
1406C2×C42—472no—
1407C2×C42—471no—
1408C2×C42—478no—
1409C2×C42—472no—
1410C2×C42—472no—
1411C2×C42—471no—
1412C2×C42—474no—
1413C2×C42—474no—
1414C2×C42—474no—
1415C2×C42—474no—
1416C2×C42—471no—
1417C2×C42—474no—
1418C2×C42—478no—
1419C2×C42—471no—
1420C2×C42—471no—
1421C2×C42—471no—
1422C2×C42—471no—
1423C2×C42—471no—
1424C2×C42—471no—
1425C2×C42—471no—
1426C2×C42—471no—
1427C2×C42C22×D4711yescharacteristic
1428C24—471no—
1429C24—474no—
1430C24C23×D4712yes—
1431#41—28no—
1432#41—48no—
1433#41—9416no—
1434#41—9416no—
1435#41—948no—
1436#41—948no—
1437#41—948no—
1438#41—948no—
1439#41—948no—
1440#41—948no—
1441#41—948no—
1442#41—1888no—
1443#41—18816no—
1444C2×Q8—472no—
1445C2×Q8—474no—
1446C2×Q8—474no—
1447C2×Q8—472no—
1448C2×Q8—472no—
1449C2×Q8—472no—
1450C2×Q8—474no—
1451C2×Q8—472no—
1452C2×Q8—948no—
1453C2×Q8—944no—
1454C2×Q8—1884no—
1455C2×Q8—1884no—
1456C2×Q8C23×D4712yes—
1457C2×Q8C23×D4712yes—
1458C2×Q8C23×D4712yes—
1459C2×D4—24no—
1460C2×D4—474no—
1461C2×D4—474no—
1462C2×D4—474no—
1463C2×D4—474no—
1464C2×D4—474no—
1465C2×D4—474no—
1466C2×D4—478no—
1467C2×D4—478no—
1468C2×D4—474no—
1469C2×D4—474no—
1470C2×D4—472no—
1471C2×D4—472no—
1472C2×D4—472no—
1473C2×D4—948no—
1474C2×D4—9416no—
1475C2×D4—948no—
1476C2×D4—1884no—
1477C2×D4—1884no—
1478C2×D4C23×D4712yes—
1479C2×D4C23×D4714yes—
1480C2×D4C23×D4712yes—
1481C2×D4C23×D4712yes—
1482C2×D4C23×D4712yes—
1483C2×D4C23×D4718yes—
1484C2×D4C23×D4718yes—
1485C2×D4C23×D4712yes—
1486C22×C4—44no—
1487C22×C4—471no—
1488C22×C4—478no—
1489C22×C4—471no—
1490C22×C4—471no—
1491C22×C4—471no—
1492C22×C4—471no—
1493C22×C4—471no—
1494C22×C4—472no—
1495C22×C4—474no—
1496C22×C4—474no—
1497C22×C4—474no—
1498C22×C4—474no—
1499C22×C4—472no—
1500C22×C4—471no—
1501C22×C4—474no—
1502C22×C4—478no—
1503C22×C4—471no—
1504C22×C4—471no—
1505C22×C4—471no—
1506C22×C4—471no—
1507C22×C4—474no—
1508C22×C4—474no—
1509C22×C4—474no—
1510C22×C4—471no—
1511C22×C4—471no—
1512C22×C4—471no—
1513C22×C4—471no—
1514C22×C4—474no—
1515C22×C4—474no—
1516C22×C4—478no—
1517C22×C4—478no—
1518C22×C4—9416no—
1519C22×C4—948no—
1520C22×C4—1882no—
1521C22×C4—1882no—
1522C22×C4—1884no—
1523C22×C4C23×D4711yescharacteristic
1524C22×C4C23×D4714yes—
1525C22×C4C23×D4714yes—
1526C22×C4C23×D4712yes—
1527C22×C4C23×D4714yes—
1528C22×C4C23×D4711yescharacteristic
1529C22×C4C23×D4718yes—
1530C22×C4C23×D4711yescharacteristic
1531C4⋊C4—474no—
1532C4⋊C4—474no—
1533C4⋊C4—474no—
1534C4⋊C4—474no—
1535C4⋊C4—474no—
1536C4⋊C4—474no—
1537C4⋊C4—478no—
1538C4⋊C4—474no—
1539C4⋊C4—474no—
1540C4⋊C4—478no—
1541C4⋊C4—474no—
1542C4⋊C4—474no—
1543C4⋊C4—474no—
1544C4⋊C4—474no—
1545C4⋊C4—474no—
1546C4⋊C4—474no—
1547C4⋊C4—478no—
1548C4⋊C4—478no—
1549C4⋊C4—472no—
1550C4⋊C4—472no—
1551C4⋊C4—472no—
1552C4⋊C4—472no—
1553C4⋊C4—472no—
1554C4⋊C4—472no—
1555C4⋊C4—474no—
1556C4⋊C4—478no—
1557C4⋊C4—472no—
1558C4⋊C4—474no—
1559C4⋊C4—472no—
1560C4⋊C4—478no—
1561C4⋊C4—478no—
1562C4⋊C4C23×D4712yes—
1563C4⋊C4C23×D4712yes—
1564C4⋊C4C23×D4712yes—
1565C4⋊C4C23×D4714yes—
1566C4⋊C4C23×D4712yes—
1567C4⋊C4C23×D4712yes—
1568C4⋊C4C23×D4712yes—
1569C4⋊C4C23×D4714yes—
1570C4⋊C4C23×D4712yes—
1571C4⋊C4C23×D4712yes—
1572C4⋊C4C23×D4718yes—
1573C22⋊C4—474no—
1574C22⋊C4—474no—
1575C22⋊C4—478no—
1576C22⋊C4—474no—
1577C22⋊C4—474no—
1578C22⋊C4—474no—
1579C22⋊C4—478no—
1580C22⋊C4—478no—
1581C22⋊C4—478no—
1582C22⋊C4—478no—
1583C22⋊C4—474no—
1584C22⋊C4—474no—
1585C22⋊C4—474no—
1586C22⋊C4—474no—
1587C22⋊C4—478no—
1588C22⋊C4—474no—
1589C22⋊C4—474no—
1590C22⋊C4—478no—
1591C22⋊C4—474no—
1592C22⋊C4—474no—
1593C22⋊C4—478no—
1594C22⋊C4—478no—
1595C22⋊C4C23×D4714yes—
1596C22⋊C4C23×D4714yes—
1597C22⋊C4C23×D4718yes—
1598C22⋊C4C23×D4714yes—
1599C22⋊C4C23×D4714yes—
1600C22⋊C4C23×D4714yes—
1601C22⋊C4C23×D4718yes—
1602C22⋊C4C23×D4718yes—
1603C42—474no—
1604C42—471no—
1605C42—471no—
1606C42—471no—
1607C42—471no—
1608C42—471no—
1609C42—474no—
1610C42—474no—
1611C42—471no—
1612C42—474no—
1613C42—474no—
1614C42—474no—
1615C42—471no—
1616C42—471no—
1617C42—471no—
1618C42—471no—
1619C42—474no—
1620C42—474no—
1621C42—471no—
1622C42—471no—
1623C42—478no—
1624C42—478no—
1625C42—478no—
1626C42—474no—
1627C42C23×D4711yescharacteristic
1628C42C23×D4711yescharacteristic
1629C42C23×D4711yescharacteristic
1630C42C23×D4711yescharacteristic
1631C42C23×D4718yes—
1632C42C23×D4714yes—
1633C23—24no—
1634C23—42no—
1635C23—42no—
1636C23—471no—
1637C23—471no—
1638C23—474no—
1639C23—474no—
1640C23—948no—
1641C23—1884no—
1642C23—1884no—
1643C23—1881no—
1644C23—1881no—
1645C23C24×D4714yes—
1646C23C24×D4714yes—
1647C23C24×D4711yescharacteristic
1648Q8—24no—
1649Q8—24no—
1650Q8—42no—
1651Q8—948no—
1652Q8—948no—
1653Q8—944no—
1654Q8—944no—
1655Q8—944no—
1656Q8—944no—
1657Q8—1882no—
1658Q8—1884no—
1659D4—28no—
1660D4—24no—
1661D4—24no—
1662D4—24no—
1663D4—24no—
1664D4—42no—
1665D4—48no—
1666D4—48no—
1667D4—948no—
1668D4—948no—
1669D4—948no—
1670D4—948no—
1671D4—948no—
1672D4—948no—
1673D4—948no—
1674D4—944no—
1675D4—944no—
1676D4—1882no—
1677D4—1884no—
1678D4—1888no—
1679D4—1888no—
1680C2×C4—28no—
1681C2×C4—22no—
1682C2×C4—28no—
1683C2×C4—42no—
1684C2×C4—44no—
1685C2×C4—41no—
1686C2×C4—48no—
1687C2×C4—474no—
1688C2×C4—471no—
1689C2×C4—471no—
1690C2×C4—471no—
1691C2×C4—474no—
1692C2×C4—474no—
1693C2×C4—474no—
1694C2×C4—474no—
1695C2×C4—474no—
1696C2×C4—471no—
1697C2×C4—471no—
1698C2×C4—474no—
1699C2×C4—474no—
1700C2×C4—474no—
1701C2×C4—474no—
1702C2×C4—471no—
1703C2×C4—948no—
1704C2×C4—942no—
1705C2×C4—942no—
1706C2×C4—948no—
1707C2×C4—948no—
1708C2×C4—948no—
1709C2×C4—948no—
1710C2×C4—942no—
1711C2×C4—948no—
1712C2×C4—944no—
1713C2×C4—948no—
1714C2×C4—942no—
1715C2×C4—942no—
1716C2×C4—1881no—
1717C2×C4—1881no—
1718C2×C4—1881no—
1719C2×C4—1881no—
1720C2×C4—1884no—
1721C2×C4—1884no—
1722C2×C4—1888no—
1723C2×C4—1888no—
1724C2×C4—1882no—
1725C2×C4—1884no—
1726C2×C4—1881no—
1727C2×C4—1888no—
1728C2×C4#41×D4714yes—
1729C2×C4C24×D4714yes—
1730C2×C4C24×D4711yescharacteristic
1731C2×C4C24×D4714yes—
1732C2×C4C24×D4711yescharacteristic
1733C2×C4C24×D4714yes—
1734C2×C4C24×D4711yescharacteristic
1735C2×C4C24×D4714yes—
1736C2×C4C24×D4711yescharacteristic
1737C2×C4C24×D4711yescharacteristic
1738C2×C4C24×D4711yescharacteristic
1739C22—21no—
1740C22—21no—
1741C22—24no—
1742C22—24no—
1743C22—24no—
1744C22—24no—
1745C22—24no—
1746C22—24no—
1747C22—48no—
1748C22—472no—
1749C22—472no—
1750C22—941no—
1751C22—941no—
1752C22—941no—
1753C22—941no—
1754C22—944no—
1755C22—944no—
1756C22—944no—
1757C22—3768no—
1758C22—1884no—
1759C22C2×#41×D4712yes—
1760C22C25×D4711yescharacteristic
1761C4—24no—
1762C4—21no—
1763C4—21no—
1764C4—24no—
1765C4—21no—
1766C4—24no—
1767C4—24no—
1768C4—472no—
1769C4—472no—
1770C4—472no—
1771C4—944no—
1772C4—944no—
1773C4—941no—
1774C4—944no—
1775C4—944no—
1776C4—941no—
1777C4—941no—
1778C4—944no—
1779C4C2×#41×D4712yes—
1780C4C2×#41×D4712yes—
1781C4#1568995812yes—
1782C2—22no—
1783C2—44no—
1784C2—44no—
1785C2—942no—
1786C2—942no—
1787C2—1884no—
1788C2C22×#41×D4711yescharacteristic
1789C2#585×D4711yescharacteristic
1790C2C2×#1568995811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D47
commutator, socle, cosocleC22×C47C26
FittingC47×#3506C2
hypercenter#3506D47
hypocenterC47#62815
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ #3506

Complements

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

NH ≅ G/Ntype
1. #20257306C2semidirect
2. #20257298C2semidirect
3. #20257288C2semidirect
4. #20257281C2semidirect
5. #20257268C2semidirect
6. #20257258C2semidirect
7. #20257255C2semidirect
8. #20257250C2semidirect
9. #20257246C2semidirect
10. #20257240C2semidirect
11. #20257239C2semidirect
12. #20257226C2semidirect
13. #20257216C2semidirect
14. #20256987C2semidirect
15. #20256984C2semidirect
16. #20256980C2semidirect
17. #20256951C2semidirect
18. #20256947C2semidirect
19. #20256945C2semidirect
20. #20256770C2semidirect
21. #20256719C2semidirect
22. #20256680C2semidirect
23. #533×D47C2semidirect
24. #532×D47C2semidirect
25. #20256588C2semidirect
26. C2×C4×#10625352C2semidirect
27. C47×#3506C2semidirect
30. #15689859C22semidirect
31. #15689859C22semidirect
32. #15689858C22semidirect
33. #15689856C22semidirect
34. #15689856C22semidirect
35. #15689855C22semidirect
36. #15689852C22semidirect
37. #15689851C22semidirect
38. #15689848C22semidirect
39. #15689847C22semidirect
40. #15689846C22semidirect
41. #15689845C22semidirect
42. #15689843C22semidirect
43. #15689843C22semidirect
44. #15689843C22semidirect
45. #15689842C22semidirect
46. #15689842C22semidirect
47. #15689841C22semidirect
48. #15689838C22semidirect
49. #15689837C22semidirect
50. #15689834C22semidirect
51. #15689830C22semidirect
52. #15689828C22semidirect
53. #15689825C22semidirect
54. #15689824C22semidirect
55. #15689823C22semidirect
56. #15689823C22semidirect
57. #15689820C22semidirect
58. #15689820C22semidirect
59. #15689820C22semidirect
60. #15689818C22semidirect
61. #15689818C22semidirect
62. #15689817C22semidirect
63. #15689813C22semidirect
64. #15689812C22semidirect
65. #15689812C22semidirect
66. #15689811C22semidirect
67. #15689809C22semidirect
68. #15689808C22semidirect
69. #15689807C22semidirect
70. #15689803C22semidirect
71. #15689802C22semidirect
72. #15689801C22semidirect
73. #15689796C22semidirect
74. #15689794C22semidirect
75. #15689793C22semidirect
76. #15689783C22semidirect
77. #15689781C22semidirect
78. #15689780C22semidirect
79. #15689778C22semidirect
80. #15689773C22semidirect
81. #15689770C22semidirect
82. #15689762C22semidirect
83. #15689761C22semidirect
84. #15689741C22semidirect
85. #15689737C22semidirect
86. #15689730C22semidirect
87. #15689723C22semidirect
88. #15689722C22semidirect
89. #15689718C22semidirect
90. #15689715C22semidirect
91. #15689711C22semidirect
92. #15689708C22semidirect
93. #15689702C22semidirect
94. #15689702C22semidirect
95. #15689699C22semidirect
96. #15689694C22semidirect
98. #15689690C22semidirect
101. #15689680C22semidirect
102. #15689679C22semidirect
103. #15689678C22semidirect
104. #15689678C22semidirect
105. #15689677C22semidirect
106. #15689677C22semidirect
107. #15689676C22semidirect
108. #15689676C22semidirect
109. #15689675C22semidirect
110. #15689675C22semidirect
111. #15689675C22semidirect
112. #15689674C22semidirect
114. #15689672C22semidirect
115. #15689672C22semidirect
116. #15689671C22semidirect
117. #15689671C22semidirect
118. #15689670C22semidirect
119. #15689670C22semidirect
121. #15689669C22semidirect
124. #15689668C22semidirect
125. C4⋊Q8×D47C22semidirect
126. C4⋊Q8×D47C22semidirect
127. C4⋊Q8×D47C22semidirect
128. #127×D47C22semidirect
129. #15689659C22semidirect
130. #15689659C22semidirect
131. #15689656C22semidirect
132. #15689654C22semidirect
133. #15689654C22semidirect
134. #15689654C22semidirect
135. #15689653C22semidirect
136. #15689653C22semidirect
137. #15689652C22semidirect
138. #15689650C22semidirect
139. #15689650C22semidirect
140. #15689650C22semidirect
141. #125×D47C22semidirect
142. #124×D47C22semidirect
143. #15689634C22semidirect
146. #15689629C22semidirect
147. #15689629C22semidirect
152. #15689606C22semidirect
153. #15689604C22semidirect
154. #15689604C22semidirect
155. #15689603C22semidirect
156. #15689603C22semidirect
157. #15689599C22semidirect
159. #15689595C22semidirect
160. #41×Dic47C22semidirect
161. C4×#10625354C22semidirect
162. #15689591C22semidirect
167. C4×#10625352C22semidirect
168. C4×#10625352C22semidirect
169. C4×#10625352C22semidirect
170. C4×#10625352C22semidirect
171. C4×#10625352C22semidirect
172. C4×#10625352C22semidirect
173. C4×#10625352C22semidirect
174. C2×C4×Dic94C22semidirect
175. C2×#13093989C22semidirect
176. C4×Q8×D47C22semidirect
177. C4×Q8×D47C22semidirect
178. C2×D4×Dic47C22semidirect
181. C4×D4×D47C22semidirect
182. C4×D4×D47C22semidirect
184. C2×#13093982C22semidirect
185. C2×#13093980C22semidirect
187. #117×D47C22semidirect
188. C22×C4×Dic47C22semidirect
190. C47×#559C22semidirect
191. C47×#556C22semidirect
192. C47×#555C22semidirect
193. C47×#553C22semidirect
194. C47×#550C22semidirect
195. C47×#547C22semidirect
196. C47×#538C22semidirect
197. C47×#535C22semidirect
198. C47×#533C22semidirect
200. C47×#525C22semidirect
201. C47×#520C22semidirect
202. C2×C4×D4×C47C22semidirect
606. C2×C4×D47#41semidirect
898. #3506D47semidirect
931. #559C2×D47semidirect
944. #556C2×D47semidirect
947. #555C2×D47semidirect
961. #553C2×D47semidirect
975. #550C2×D47semidirect
981. #547C2×D47semidirect
994. #538C2×D47semidirect
1002. #535C2×D47semidirect
1015. #533C2×D47semidirect
1053. #525C2×D47semidirect
1063. #520C2×D47semidirect
1090. C2×C4×D4C2×D47semidirect
1098. C47#62815semidirect

Maximal subgroups

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

subgroupindex
#202573062
#202572982
#202572882
#202572812
#202572682
#202572582
#202572552
#202572502
#202572462
#202572402
#202572392
#202572262
#202572162
#202569872
#202569842
#202569802
#202569512
#202569472
#202569452
#202567702
#202567192
#202566802
#533×D472
#532×D472
#202565882
C2×C4×#106253522
C47×#35062
#6281547