Finite Group Databasebeta

← #27124856

Subgroups — #27124856

Order 12032.

7210 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257303C214yesmaximal, complemented
2#20257300C212yesmaximal, complemented
3#20257289C212yesmaximal, complemented
4#20257277C214yesmaximal, complemented
5#20257267C212yesmaximal, complemented
6#20257257C212yesmaximal, complemented
7#20257244C214yesmaximal, complemented
8#20257231C214yesmaximal, complemented
9#20257223C214yesmaximal, complemented
10#20257216C214yesmaximal, complemented
11#20256986C214yesmaximal, complemented
12#20256979C214yesmaximal, complemented
13#20256950C214yesmaximal, complemented
14#20256944C214yesmaximal, complemented
15#20256776C212yesmaximal, complemented
16#20256773C212yesmaximal, complemented
17#20256718C212yesmaximal, complemented
18#20256685C211yesmaximal, characteristic, complemented
19#20256684C211yesmaximal, characteristic, complemented
20#20256683C211yesmaximal, characteristic, complemented
21#533×D47C211yesmaximal, characteristic, complemented
22#532×D47C211yesmaximal, characteristic, complemented
23#20256587C212yesmaximal, complemented
24C2×C4×#10625350C211yesmaximal, characteristic, complemented
25C47×#3444C211yesmaximal, characteristic, complemented
26C22×#10625350C2211yescharacteristic
27C2×#41×D47C2212yes—
28#15689857C2218yescomplemented
29#15689856C2218yescomplemented
30#15689856C2214yescomplemented
31#15689855C2214yescomplemented
32#15689850C2214yescomplemented
33#15689849C2214yescomplemented
34#15689845C2214yescomplemented
35#15689844C2214yescomplemented
36#15689842C2214yescomplemented
37#15689841C2214yescomplemented
38#15689841C2218yescomplemented
39#15689840C2218yescomplemented
40#15689837C2214yescomplemented
41#15689836C2214yescomplemented
42#15689832C2214yescomplemented
43#15689829C2214yescomplemented
44#15689826C2214yescomplemented
45#15689824C2218yescomplemented
46#15689823C2214yescomplemented
47#15689823C2218yescomplemented
48#15689822C2218yescomplemented
49#15689820C2214yescomplemented
50#15689818C2218yescomplemented
51#15689818C2218yescomplemented
52#15689817C2214yescomplemented
53#15689817C2218yescomplemented
54#15689814C2214yescomplemented
55#15689812C2214yescomplemented
56#15689811C2214yescomplemented
57#15689809C2218yescomplemented
58#15689807C2214yescomplemented
59#15689806C2218yescomplemented
60#15689802C2218yescomplemented
61#15689801C2218yescomplemented
62#15689798C2218yescomplemented
63#15689797C2218yescomplemented
64#15689792C2214yescomplemented
65#15689791C2214yescomplemented
66#15689785C2214yescomplemented
67#15689783C2214yescomplemented
68#15689781C2214yescomplemented
69#15689780C2214yescomplemented
70#15689775C2214yescomplemented
71#15689772C2214yescomplemented
72#15689770C2214yescomplemented
73#15689768C2214yescomplemented
74#15689766C2214yescomplemented
75#15689761C2214yescomplemented
76#15689746C2214yescomplemented
77#15689745C2214yescomplemented
78#15689740C2214yescomplemented
79#15689738C2214yescomplemented
80#15689733C2214yescomplemented
81#15689731C2214yescomplemented
82#15689726C2214yescomplemented
83#15689724C2214yescomplemented
84#15689717C2218yescomplemented
85#15689715C2218yescomplemented
86#15689708C2218yescomplemented
87#15689706C2218yescomplemented
88#15689703C2214yescomplemented
89#15689702C2214yescomplemented
90#15689696C2214yes—
91#15689695C2214yescomplemented
92#15689689C2214yes—
93#15689688C2214yescomplemented
94#15689684C2214yes—
95#15689683C2214yes—
96#15689680C2212yescomplemented
97#15689680C2211yescharacteristic, complemented
98#15689679C2212yescomplemented
99#15689678C2212yescomplemented
100#15689678C2212yescomplemented
101#15689678C2212yescomplemented
102#15689677C2214yescomplemented
103#15689676C2212yescomplemented
104#15689675C2214yescomplemented
105#15689674C2211yescharacteristic, complemented
106#15689674C2212yescomplemented
107#15689673C2211yescharacteristic
108#15689673C2212yescomplemented
109#15689672C2212yescomplemented
110#15689671C2211yescharacteristic, complemented
111#15689671C2212yescomplemented
112#15689670C2214yescomplemented
113#15689670C2218yescomplemented
114#15689669C2212yes—
115#15689668C2214yes—
116C4⋊Q8×D47C2212yescomplemented
117C4⋊Q8×D47C2211yescharacteristic, complemented
118#127×D47C2211yescharacteristic, complemented
119#15689660C2214yescomplemented
120#15689659C2214yescomplemented
121#15689658C2214yescomplemented
122#15689657C2218yescomplemented
123#15689657C2214yescomplemented
124#15689657C2214yescomplemented
125#15689657C2214yescomplemented
126#15689655C2218yescomplemented
127#15689655C2214yescomplemented
128#15689654C2214yescomplemented
129#15689653C2218yescomplemented
130#15689652C2214yescomplemented
131#15689651C2218yescomplemented
132#125×D47C2212yescomplemented
133#124×D47C2212yescomplemented
134#15689636C2214yescomplemented
135#15689635C2212yescomplemented
136#15689634C2212yescomplemented
137#15689634C2214yescomplemented
138#15689633C2214yescomplemented
139#15689632C2218yes—
140#15689630C2212yescomplemented
141C22⋊Q8×D47C2214yes—
142#121×D47C2214yes—
143#15689605C2214yescomplemented
144#15689602C2214yescomplemented
145#15689602C2218yescomplemented
146#15689599C2214yescomplemented
147#15689595C2218yes—
148#15689595C2214yescomplemented
149#41×Dic47C2212yescomplemented
150C4×#10625354C2214yescomplemented
151C4×#10625350C2212yes—
152C4×#10625350C2212yes—
153C4×#10625350C2212yes—
154C4×#10625350C2212yes—
155C4×#10625350C2212yescomplemented
156C4×#10625350C2212yescomplemented
157C4×#10625350C2212yescomplemented
158C4×#10625350C2212yescomplemented
159C4×#10625350C2212yescomplemented
160C4×#10625350C2214yescomplemented
161C4×#10625350C2214yescomplemented
162#15689591C2212yescomplemented
163#15689591C2214yescomplemented
164C4×#10625352C2214yescomplemented
165C2×C4×Dic94C2212yescomplemented
166C4×Q8×D47C2214yescomplemented
167C2×C4×D188C2212yes—
168C2×C4×C22⋊D47C2212yes—
169C2×C4×C22⋊D47C2212yescomplemented
170C4×D4×D47C2214yescomplemented
171C2×#13093983C2211yescharacteristic, complemented
172C2×#13093981C2211yescharacteristic
173C2×#13093981C2211yescharacteristic, complemented
174C2×#13093981C2214yescomplemented
175#117×D47C2212yes—
176#117×D47C2214yescomplemented
177C2×C42×D47C2211yescharacteristic
178C2×C42×D47C2211yescharacteristic, complemented
179C47×#533C2212yescomplemented
180C47×#533C2211yescharacteristic, complemented
181C47×#532C2211yescharacteristic
182C47×#532C2212yescomplemented
183C47×#529C2214yescomplemented
184C47×#529C2214yescomplemented
185C47×#529C2214yescomplemented
186C47×#525C2212yescomplemented
187C47×#525C2214yescomplemented
188C4×#41×C47C2212yescomplemented
189C4×#41×C47C2214yescomplemented
190C22×C42×C47C2211yescharacteristic, complemented
191C2×#10625354C2312yes—
192C2×#10625354C2314yes—
193C2×#10625350—28no—
194C2×#10625350C2312yes—
195C2×#10625350C2314yes—
196C2×#10625350C2312yes—
197C2×#10625350C2312yes—
198C2×#10625350C2312yes—
199C2×#10625350C2312yes—
200C2×#10625350C2314yes—
201C2×#10625352C2314yes—
202C2×#10625352C2312yes—
203C2×#10625352C2314yes—
204#41×D47—216no—
205C22×Dic94C2311yescharacteristic
206C2×Q8×D47C2312yes—
207C2×Q8×D47C2314yes—
208C22×D188C2311yescharacteristic
209C22×C22⋊D47C2311yescharacteristic
210C22×C22⋊D47C2311yescharacteristic
211C2×D4×D47C2314yes—
212C2×D4×D47C2312yes—
213C2×D4×D47C2314yes—
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2314yes—
216C22×C4×D47C2312yes—
217C22×C4×D47C2312yes—
218C22×C4×D47C2311yescharacteristic
219#13094024C2311yescharacteristic
220#13094024C2312yes—
221#13094023C2314yes—
222#13094023C2314yes—
223#13094023C2318yes—
224#13094023C2314yes—
225#13094022C2312yes—
226#13094022C2314yes—
227#13094021C2311yescharacteristic
228#13094020C2314yes—
229#13094020C2318yes—
230#13094020C2312yes—
231#13094019C2318yes—
232#13094019C2318yes—
233#13094019C2318yes—
234#13094018C2318yes—
235#13094018C2318yes—
236#13094018C2318yes—
237#13094017C2318yes—
238#13094017C2318yes—
239#13094017C2318yes—
240#13094017C2318yes—
241#13094017C2318yes—
242#13094016C2318yes—
243#13094016C2314yes—
244#13094016C2312yes—
245#13094015C2314yes—
246#13094015C2318yes—
247#13094015C2314yes—
248#13094015C2314yes—
249#13094014C2318yes—
250#13094014C2318yes—
251#13094014C2318yes—
252#13094013C2312yes—
253#13094013C2314yes—
254#13094012C2318yes—
255#13094012C2314yes—
256#13094012C2312yes—
257#13094011C2312yes—
258#13094011C2318yes—
259#13094011C2314yes—
260#13094010C2318yes—
261#13094010C2318yes—
262#13094010C2318yes—
263#13094010C2318yes—
264#13094010C2318yes—
265#13094009C2318yes—
266#13094009C2318yes—
267#13094009C2318yes—
268#13094008C2318yes—
269#13094008C2314yes—
270#13094007C2318yes—
271#13094007C2318yes—
272#13094007C2318yes—
273#13094007C2314yes—
274#13094006C2318yes—
275#13094006C2318yes—
276#13094006C2318yes—
277#13094006C2318yes—
278#13094006C2318yes—
279#13094005C2318yes—
280#13094005C2314yes—
281#13094004C2314yes—
282#13094004C2318yes—
283#13094004C2314yes—
284#13094004C2314yes—
285#13094003C2314yes—
286#13094003C2318yes—
287#13094003C2314yes—
288#13094003C2314yes—
289#13094002C2318yes—
290#13094002C2318yes—
291#13094002C2318yes—
292#13094001C2318yes—
293#13094001C2318yes—
294#13094001C2318yes—
295#13094000C2314yes—
296#13094000C2314yes—
297#13094000C2314yes—
298#13093999C2314yes—
299#13093999C2314yes—
300#13093999C2314yes—
301#13093999C2318yes—
302#13093998C2314yes—
303#13093998C2314yes—
304#13093998C2318yes—
305#13093998C2314yes—
306#13093997C2318yes—
307#13093997C2318yes—
308#13093997C2318yes—
309#13093997C2318yes—
310#13093997C2318yes—
311#13093996C2318yes—
312#13093996C2318yes—
313#13093996C2318yes—
314#13093995C2314yes—
315#13093995C2314yes—
316#13093995C2318yes—
317#13093995C2314yes—
318#13093995C2318yes—
319#13093994C2318yes—
320#13093994C2314yes—
321#13093993C2314yes—
322#13093992C2318yes—
323#13093992C2314yes—
324Q8×Dic47C2314yes—
325Q8×Dic47C2314yes—
326Q8×Dic47C2314yes—
327C4×Dic94C2314yes—
328C4×Dic94C2314yes—
329C4×Dic94C2312yes—
330C4×Dic94C2312yes—
331C4×Dic94C2312yes—
332C4×Dic94C2312yes—
333C4×Dic94C2312yes—
334C4×Dic94C2312yes—
335C4×Dic94C2318yes—
336C4×Dic94C2314yes—
337C4×Dic94C2318yes—
338C4×Dic94C2312yes—
339C4×Dic94C2312yes—
340#13093989C2314yes—
341#13093989C2314yes—
342#13093989C2314yes—
343#13093989C2318yes—
344#13093989C2318yes—
345C4×D188C2314yes—
346C4×D188C2312yes—
347C4×D188C2314yes—
348C4×D188C2312yes—
349C4×D188C2312yes—
350C4×D188C2312yes—
351C4×D188C2318yes—
352C4×D188C2312yes—
353C4×D188C2312yes—
354C4×D188C2312yes—
355C4×D188C2312yes—
356C4×D188C2314yes—
357C4×D188C2318yes—
358D4×Dic47C2314yes—
359D4×Dic47C2314yes—
360D4×Dic47C2314yes—
361D4×Dic47C2318yes—
362#13093986C2314yes—
363#13093986C2314yes—
364#13093986C2314yes—
365#13093986C2318yes—
366#13093986C2318yes—
367C4×C22⋊D47C2312yes—
368C4×C22⋊D47C2312yes—
369C4×C22⋊D47C2312yes—
370C4×C22⋊D47C2312yes—
371C4×C22⋊D47C2312yes—
372C4×C22⋊D47C2318yes—
373C4×C22⋊D47C2312yes—
374C4×C22⋊D47C2312yes—
375C4×C22⋊D47C2312yes—
376C4×C22⋊D47C2318yes—
377C4×C22⋊D47C2312yes—
378C4×C22⋊D47C2318yes—
379C4×C22⋊D47C2312yes—
380C4×C22⋊D47C2312yes—
381C4×C22⋊D47C2312yes—
382C4×C22⋊D47C2312yes—
383C4×C22⋊D47C2312yes—
384C4×C22⋊D47C2318yes—
385C4×C22⋊D47C2312yes—
386C4×C22⋊D47C2312yes—
387C4×C22⋊D47C2318yes—
388C4×C22⋊D47C2318yes—
389C4×C22⋊D47C2318yes—
390(C22⋊D47)⋊C4C2318yes—
391(C22⋊D47)⋊C4C2318yes—
392(C22⋊D47)⋊C4C2318yes—
393(C22⋊D47)⋊C4C2318yes—
394(C22⋊D47)⋊C4C2318yes—
395#13093983C2312yes—
396#13093983C2312yes—
397#13093983C2314yes—
398#13093983C2312yes—
399#13093983C2314yes—
400#13093983C2312yes—
401#13093983C2312yes—
402#13093982C2318yes—
403#13093982C2318yes—
404#13093982C2314yes—
405#13093982C2314yes—
406#13093982C2314yes—
407#13093981C2312yes—
408#13093981C2312yes—
409#13093981C2318yes—
410#13093981C2318yes—
411#13093981C2318yes—
412#13093981C2314yes—
413#13093981C2311yescharacteristic
414#13093981C2311yescharacteristic
415#13093981C2311yescharacteristic
416#13093981C2312yes—
417#13093981C2311yescharacteristic
418#13093981C2312yes—
419#13093981C2314yes—
420#13093981C2312yes—
421#13093981C2312yes—
422#13093981C2314yes—
423#13093980C2318yes—
424#13093980C2318yes—
425#13093980C2314yes—
426C2×C4⋊Dic47C2312yes—
427C2×Dic47⋊C4C2318yes—
428C2×Dic47⋊C4C2312yes—
429C2×Dic47⋊C4C2312yes—
430C4⋊C4×D47C2318yes—
431C4⋊C4×D47C2314yes—
432C4⋊C4×D47C2318yes—
433C4⋊C4×D47C2314yes—
434C4⋊C4×D47C2314yes—
435C2×C22⋊Dic47C2312yes—
436C2×(C2×D47)⋊C4C2318yes—
437C2×(C2×D47)⋊C4C2312yes—
438C2×(C2×D47)⋊C4C2312yes—
439C22⋊C4×D47C2318yes—
440C22⋊C4×D47C2318yes—
441C22⋊C4×D47C2314yes—
442C2×C4×Dic47C2311yescharacteristic
443C2×C4×Dic47C2312yes—
444C2×C4×Dic47C2311yescharacteristic
445C2×C4×Dic47C2312yes—
446C2×C4×Dic47C2314yes—
447C42×D47C2312yes—
448C42×D47C2312yes—
449C42×D47C2311yescharacteristic
450C42×D47C2311yescharacteristic
451C42×D47C2311yescharacteristic
452C42×D47C2311yescharacteristic
453C42×D47C2312yes—
454C42×D47C2312yes—
455C42×D47C2312yes—
456C42×D47C2312yes—
457C42×D47C2314yes—
458C42×D47C2314yes—
459C42×D47C2314yes—
460C2×#41×C47C2312yes—
461C2×#41×C47C2314yes—
462C23×C4×C47C2311yescharacteristic
463C23×C4×C47C2312yes—
464C4⋊Q8×C47C2311yescharacteristic
465C4⋊Q8×C47C2312yes—
466#127×C47C2311yescharacteristic
467#126×C47C2318yes—
468#125×C47C2314yes—
469#125×C47C2312yes—
470#124×C47C2314yes—
471#124×C47C2312yes—
472#123×C47C2318yes—
473#123×C47C2314yes—
474C22⋊Q8×C47C2314yes—
475C22⋊Q8×C47C2314yes—
476C22⋊Q8×C47C2314yes—
477#121×C47C2314yes—
478#121×C47C2314yes—
479#121×C47C2314yes—
480#120×C47C2314yes—
481C4×Q8×C47C2314yes—
482C4×Q8×C47C2314yes—
483C4×Q8×C47C2314yes—
484C4×D4×C47C2314yes—
485C4×D4×C47C2314yes—
486C4×D4×C47C2318yes—
487C4×D4×C47C2318yes—
488C4×D4×C47C2318yes—
489C4×D4×C47C2314yes—
490#117×C47C2318yes—
491#117×C47C2314yes—
492#117×C47C2312yes—
493#117×C47C2314yes—
494C2×C42×C47C2311yescharacteristic
495C2×C42×C47C2312yes—
496C2×C42×C47C2312yes—
497C2×C42×C47C2312yes—
498C2×C42×C47C2312yes—
499C2×C42×C47C2311yescharacteristic
500C2×C42×C47C2312yes—
501C2×C42×C47C2314yes—
502C24×C47C2411yescharacteristic
503C23×D47C2414yes—
504C23×D47C2411yescharacteristic
505C23×D47C2411yescharacteristic
506#41×C47—28no—
507#41×C47—48no—
508C2×Q8×C47C2412yes—
509C2×Q8×C47C2414yes—
510C2×D4×C47C2414yes—
511C2×D4×C47C2412yes—
512C2×D4×C47C2414yes—
513C2×D4×C47C2418yes—
514C22×C4×C47—24no—
515C22×C4×C47—44no—
516C22×C4×C47C2412yes—
517C22×C4×C47C2412yes—
518C22×C4×C47C2412yes—
519C22×C4×C47C2412yes—
520C22×C4×C47C2412yes—
521C22×C4×C47C2411yescharacteristic
522C22×C4×C47C2414yes—
523C22×C4×C47C2412yes—
524C22×C4×C47C2412yes—
525C22×C4×C47C2412yes—
526C22×C4×C47C2418yes—
527C22×C4×C47C2411yescharacteristic
528C2×C22⋊D47—24no—
529C2×C22⋊D47—24no—
530C2×C22⋊D47C2414yes—
531C2×C22⋊D47C2414yes—
532C2×C22⋊D47C2414yes—
533C2×C22⋊D47C2412yes—
534C2×C22⋊D47C2412yes—
535C2×C22⋊D47C2412yes—
536C2×C22⋊D47C2412yes—
537C2×C22⋊D47C2418yes—
538C2×C22⋊D47C2418yes—
539C2×C22⋊D47C2418yes—
540C22×Dic47C2411yescharacteristic
541C22×Dic47C2414yes—
542C22×Dic47C2412yes—
543C22×Dic47C2412yes—
544C22×Dic47C2418yes—
545C22×Dic47C2411yescharacteristic
546#10625354—28no—
547#10625354—48no—
548Q8×D47—28no—
549Q8×D47—48no—
550#10625352—216no—
551#10625352—28no—
552#10625352—48no—
553D4×D47—216no—
554D4×D47—28no—
555D4×D47—48no—
556#10625350—28no—
557#10625350—216no—
558#10625350—28no—
559#10625350—28no—
560#10625350—28no—
561#10625350—28no—
562#10625350—48no—
563C2×D188—24no—
564C2×D188C2414yes—
565C2×D188C2412yes—
566C2×D188C2414yes—
567C2×D188C2412yes—
568C2×D188C2412yes—
569C2×D188C2418yes—
570C2×C4×D47—24no—
571C2×C4×D47—216no—
572C2×C4×D47—44no—
573C2×C4×D47—44no—
574C2×C4×D47#4118yescomplemented
575C2×C4×D47C2412yes—
576C2×C4×D47C2412yes—
577C2×C4×D47C2412yes—
578C2×C4×D47C2414yes—
579C2×C4×D47C2412yes—
580C2×C4×D47C2412yes—
581C2×C4×D47C2412yes—
582C2×C4×D47C2414yes—
583C2×C4×D47C2414yes—
584C2×C4×D47C2412yes—
585C2×C4×D47C2412yes—
586C2×C4×D47C2412yes—
587C2×C4×D47C2412yes—
588C2×C4×D47C2418yes—
589C2×C4×D47C2418yes—
590C2×C4×D47C2418yes—
591C2×C4×D47C2411yescharacteristic
592C2×C4×D47C2411yescharacteristic
593C2×C4×D47C2411yescharacteristic
594C2×C4×D47C2411yescharacteristic
595C2×Dic94—24no—
596C2×Dic94C2412yes—
597C2×Dic94C2414yes—
598C2×Dic94C2414yes—
599C2×Dic94C2412yes—
600C2×Dic94C2412yes—
601C2×Dic94C2418yes—
602C4⋊C4×C47C2414yes—
603C4⋊C4×C47C2414yes—
604C4⋊C4×C47C2414yes—
605C4⋊C4×C47C2418yes—
606C4⋊C4×C47C2418yes—
607C4⋊C4×C47C2418yes—
608C22⋊C4×C47C2414yes—
609C22⋊C4×C47C2418yes—
610C22⋊C4×C47C2418yes—
611C22⋊C4×C47C2418yes—
612C22⋊C4×C47C2418yes—
613C42×C47C2411yescharacteristic
614C42×C47C2411yescharacteristic
615C42×C47C2412yes—
616C42×C47C2412yes—
617C42×C47C2412yes—
618C42×C47C2412yes—
619C42×C47C2411yescharacteristic
620C42×C47C2412yes—
621C42×C47C2412yes—
622C42×C47C2411yescharacteristic
623C42×C47C2414yes—
624C42×C47C2418yes—
625C22⋊Dic47C2414yes—
626C22⋊Dic47C2418yes—
627C22⋊Dic47C2418yes—
628C22⋊Dic47C2412yes—
629C22⋊Dic47C2412yes—
630C22⋊Dic47C2412yes—
631C22⋊Dic47C2412yes—
632C22⋊Dic47C2418yes—
633C22⋊Dic47C2418yes—
634(C2×D47)⋊C4C2412yes—
635(C2×D47)⋊C4C2418yes—
636(C2×D47)⋊C4C2418yes—
637(C2×D47)⋊C4C2418yes—
638(C2×D47)⋊C4C2412yes—
639(C2×D47)⋊C4C2412yes—
640(C2×D47)⋊C4C2418yes—
641(C2×D47)⋊C4C2412yes—
642(C2×D47)⋊C4C2412yes—
643(C2×D47)⋊C4C2412yes—
644(C2×D47)⋊C4C2418yes—
645(C2×D47)⋊C4C2412yes—
646(C2×D47)⋊C4C2412yes—
647(C2×D47)⋊C4C2418yes—
648(C2×D47)⋊C4C2418yes—
649(C2×D47)⋊C4C2418yes—
650(C2×D47)⋊C4C2418yes—
651C4⋊Dic47C2414yes—
652C4⋊Dic47C2414yes—
653C4⋊Dic47C2414yes—
654C4⋊Dic47C2418yes—
655C4⋊Dic47C2418yes—
656C4⋊Dic47C2412yes—
657C4⋊Dic47C2412yes—
658C4⋊Dic47C2412yes—
659C4⋊Dic47C2412yes—
660C4⋊Dic47C2418yes—
661Dic47⋊C4C2412yes—
662Dic47⋊C4C2418yes—
663Dic47⋊C4C2418yes—
664Dic47⋊C4C2418yes—
665Dic47⋊C4C2418yes—
666Dic47⋊C4C2418yes—
667Dic47⋊C4C2412yes—
668Dic47⋊C4C2412yes—
669Dic47⋊C4C2418yes—
670Dic47⋊C4C2412yes—
671Dic47⋊C4C2412yes—
672Dic47⋊C4C2412yes—
673Dic47⋊C4C2418yes—
674Dic47⋊C4C2412yes—
675Dic47⋊C4C2412yes—
676Dic47⋊C4C2418yes—
677Dic47⋊C4C2418yes—
678C4×Dic47C2411yescharacteristic
679C4×Dic47C2411yescharacteristic
680C4×Dic47C2412yes—
681C4×Dic47C2412yes—
682C4×Dic47C2414yes—
683C4×Dic47C2412yes—
684C4×Dic47C2411yescharacteristic
685C4×Dic47C2411yescharacteristic
686C4×Dic47C2412yes—
687C4×Dic47C2412yes—
688C4×Dic47C2412yes—
689C4×Dic47C2412yes—
690C4×Dic47C2412yes—
691C4×Dic47C2412yes—
692C4×Dic47C2412yes—
693C4×Dic47C2418yes—
694C4×Dic47C2418yes—
695C4×Dic47C2418yes—
696C4×Dic47C2418yes—
697C23×C47—22no—
698C23×C47—42no—
699C23×C47C2512yes—
700C23×C47C2514yes—
701C23×C47C2511yescharacteristic
702C22×D47—22no—
703C22×D47—28no—
704C22×D47—42no—
705C22×D47—42no—
706C22×D47—48no—
707C22×D47C2×#4114yes—
708C22×D47C2512yes—
709C22×D47C2514yes—
710C22×D47C2511yescharacteristic
711C22×D47C2511yescharacteristic
712Q8×C47—24no—
713Q8×C47—28no—
714D4×C47—28no—
715D4×C47—24no—
716D4×C47—28no—
717D4×C47—48no—
718C2×C4×C47—22no—
719C2×C4×C47—28no—
720C2×C4×C47—24no—
721C2×C4×C47—24no—
722C2×C4×C47—24no—
723C2×C4×C47—24no—
724C2×C4×C47—24no—
725C2×C4×C47—42no—
726C2×C4×C47—42no—
727C2×C4×C47—42no—
728C2×C4×C47—48no—
729C2×C4×C47C2×#4114yes—
730C2×C4×C47C2512yes—
731C2×C4×C47C2512yes—
732C2×C4×C47C2514yes—
733C2×C4×C47C2518yes—
734C2×C4×C47C2512yes—
735C2×C4×C47C2512yes—
736C2×C4×C47C2511yescharacteristic
737C2×C4×C47C2512yes—
738C2×C4×C47C2511yescharacteristic
739C22⋊D47—28no—
740C22⋊D47—24no—
741C22⋊D47—24no—
742C22⋊D47—28no—
743C22⋊D47—24no—
744C22⋊D47—24no—
745C22⋊D47—28no—
746C22⋊D47—48no—
747C22⋊D47—48no—
748C22⋊D47—48no—
749C2×Dic47—22no—
750C2×Dic47—28no—
751C2×Dic47—42no—
752C2×Dic47—42no—
753C2×Dic47—48no—
754C2×Dic47C2×#4114yes—
755C2×Dic47C2512yes—
756C2×Dic47C2512yes—
757C2×Dic47C2512yes—
758C2×Dic47C2512yes—
759C2×Dic47C2514yes—
760C2×Dic47C2518yes—
761C2×Dic47C2512yes—
762C2×Dic47C2511yescharacteristic
763C2×Dic47C2511yescharacteristic
764D188—24no—
765D188—24no—
766D188—28no—
767D188—24no—
768D188—28no—
769D188—48no—
770C4×D47—28no—
771C4×D47—24no—
772C4×D47—24no—
773C4×D47—28no—
774C4×D47—24no—
775C4×D47—24no—
776C4×D47—24no—
777C4×D47—24no—
778C4×D47—28no—
779C4×D47—42no—
780C4×D47—42no—
781C4×D47—42no—
782C4×D47—42no—
783C4×D47—48no—
784C4×D47—48no—
785C4×D47—48no—
786C4×D47C2×#4114yes—
787C4×D47C2×#4114yes—
788C4×D47C2×#4114yes—
789C4×D47C2×#4114yes—
790Dic94—24no—
791Dic94—28no—
792Dic94—24no—
793Dic94—24no—
794Dic94—28no—
795Dic94—48no—
796#62815—471nomaximal, Sylow
797C22×C47—22no—
798C22×C47—24no—
799C22×C47—22no—
800C22×C47—28no—
801C22×C47—22no—
802C22×C47—22no—
803C22×C47—44no—
804C22×C47C22×#4112yes—
805C22×C47C2611yescharacteristic
806C2×D47—22no—
807C2×D47—22no—
808C2×D47—22no—
809C2×D47—24no—
810C2×D47—22no—
811C2×D47—22no—
812C2×D47—28no—
813C2×D47—44no—
814C2×D47—44no—
815C2×D47—88no—
816C2×D47C22×#4112yes—
817C2×D47C22×#4112yes—
818C4×C47—22no—
819C4×C47—24no—
820C4×C47—28no—
821C4×C47—22no—
822C4×C47—22no—
823C4×C47—22no—
824C4×C47C22×#4112yes—
825C4×C47C22×#4112yes—
826C4×C47#58514yes—
827Dic47—24no—
828Dic47—22no—
829Dic47—28no—
830Dic47—22no—
831Dic47—22no—
832Dic47—22no—
833Dic47—22no—
834Dic47C22×#4112yes—
835Dic47C22×#4112yes—
836#3512—474no—
837#3511—472no—
838#3511—472no—
839#3510—474no—
840#3509—472no—
841#3508—472no—
842#3507—474no—
843#3506—474no—
844#3505—474no—
845#3505—474no—
846#3480—474no—
847#3480—474no—
848#3475—474no—
849#3475—474no—
850#3455—472no—
851#3455—472no—
852#3449—472no—
853#3444—471no—
854#3444—471no—
855#3444—471no—
856#3444D4711yescharacteristic, complemented
857C2×#533—471no—
858C2×#532—471no—
859#3428—472no—
860C2×C4×#41—471no—
861C2×C47—22no—
862C2×C47—44no—
863C2×C47—42no—
864C2×C47C23×#4111yescharacteristic
865C2×C47C2×#58512yes—
866D47—22no—
867D47—22no—
868D47—42no—
869D47—44no—
870C22×#41—472no—
871C22×#41—471no—
872#559—474no—
873#559—478no—
874#559—478no—
875#559—474no—
876#557—474no—
877#557—474no—
878#556—478no—
879#556—474no—
880#556—474no—
881#556—474no—
882#556—474no—
883#556—478no—
884#555—474no—
885#555—474no—
886#554—474no—
887#554—474no—
888#553—478no—
889#553—474no—
890#553—478no—
891#553—478no—
892#553—474no—
893#553—478no—
894#553—474no—
895#553—478no—
896#553—474no—
897#553—478no—
898#552—478no—
899#552—474no—
900#552—474no—
901#552—474no—
902#552—478no—
903#552—474no—
904#551—478no—
905#551—478no—
906#551—478no—
907#551—478no—
908#550—474no—
909#550—474no—
910#548—474no—
911#548—474no—
912#548—474no—
913#548—474no—
914#547—474no—
915#547—474no—
916#546—474no—
917#546—474no—
918#546—474no—
919#546—474no—
920#542—474no—
921#542—474no—
922#542—474no—
923#542—474no—
924#541—474no—
925#541—474no—
926#540—474no—
927#540—474no—
928#539—478no—
929#539—478no—
930#538—478no—
931#538—478no—
932#537—474no—
933#537—474no—
934#536—474no—
935#536—474no—
936#535—474no—
937#535—474no—
938#534—474no—
939#534—474no—
940#533—472no—
941#533—472no—
942#533—472no—
943#533—472no—
944#533—474no—
945#533—474no—
946#533—472no—
947#533—471no—
948#533—472no—
949#533C2×D4711yescharacteristic, complemented
950#533C2×D4712yescomplemented
951#532—472no—
952#532—471no—
953#532—472no—
954#532—471no—
955#532—472no—
956#532—472no—
957#532—474no—
958#532—474no—
959#532—478no—
960#532—471no—
961#532—472no—
962#532C2×D4711yescharacteristic
963#532C2×D4712yescomplemented
964C2×C4⋊Q8—471no—
965C2×C4⋊Q8—472no—
966C2×#127—471no—
967#529—474no—
968#529—474no—
969#529—474no—
970#529—474no—
971#529—474no—
972#529—474no—
973#529—478no—
974#529—478no—
975#529—478no—
976#529—474no—
977#529—474no—
978#529—474no—
979#529—478no—
980#529C2×D4714yescomplemented
981#529C2×D4714yescomplemented
982#529C2×D4714yescomplemented
983C2×#125—472no—
984C2×#124—472no—
985#525—472no—
986#525—472no—
987#525—474no—
988#525—474no—
989#525—474no—
990#525—478no—
991#525—472no—
992#525C2×D4712yescomplemented
993#525C2×D4714yescomplemented
994C2×C22⋊Q8—474no—
995C2×#121—474no—
996#520—474no—
997#520—478no—
998#520—474no—
999#519—474no—
1000#518—478no—
1001#518—474no—
1002C4×#41—472no—
1003C4×#41—474no—
1004C4×#41—474no—
1005C4×#41—472no—
1006C4×#41—474no—
1007C4×#41—472no—
1008C4×#41—472no—
1009C4×#41—472no—
1010C4×#41—472no—
1011C4×#41—472no—
1012C4×#41—472no—
1013C4×#41—472no—
1014C4×#41—472no—
1015C4×#41—472no—
1016C4×#41—474no—
1017C4×#41—474no—
1018C4×#41C2×D4712yescomplemented
1019C4×#41C2×D4714yescomplemented
1020C2×C4×Q8—474no—
1021C2×C4×Q8—472no—
1022C2×C4×D4—472no—
1023C2×C4×D4—472no—
1024C2×C4×D4—474no—
1025C2×C4×D4—472no—
1026C2×#117—471no—
1027C2×#117—472no—
1028C2×#117—474no—
1029C2×#117—471no—
1030C2×#117—471no—
1031C2×#117—474no—
1032C22×C42—471no—
1033C22×C42—471no—
1034C22×C42C2×D4711yescharacteristic, complemented
1035C47#6281511yescharacteristic, complemented, Sylow
1036C2×#41—472no—
1037C2×#41—474no—
1038C2×#41—474no—
1039C2×#41—472no—
1040C2×#41—474no—
1041C2×#41—472no—
1042C2×#41—472no—
1043C2×#41—474no—
1044C2×#41—472no—
1045C2×#41—472no—
1046C2×#41—472no—
1047C2×#41—474no—
1048C2×#41—948no—
1049C2×#41—9416no—
1050C2×#41C22×D4712yes—
1051C2×#41C22×D4714yes—
1052C22×Q8—472no—
1053C22×Q8—474no—
1054C22×Q8—471no—
1055C22×D4—471no—
1056C22×D4—471no—
1057C22×D4—474no—
1058C22×D4—472no—
1059C22×D4—474no—
1060C22×D4—471no—
1061C23×C4—471no—
1062C23×C4—474no—
1063C23×C4—471no—
1064C23×C4—472no—
1065C23×C4—472no—
1066C23×C4C22×D4711yescharacteristic
1067C23×C4C22×D4712yes—
1068C4⋊Q8—472no—
1069C4⋊Q8—474no—
1070C4⋊Q8—474no—
1071C4⋊Q8—474no—
1072C4⋊Q8—474no—
1073C4⋊Q8—478no—
1074C4⋊Q8—471no—
1075C4⋊Q8—472no—
1076C4⋊Q8C22×D4711yescharacteristic
1077C4⋊Q8C22×D4712yes—
1078#127—472no—
1079#127—474no—
1080#127—478no—
1081#127—471no—
1082#127C22×D4711yescharacteristic
1083#126—478no—
1084#126—478no—
1085#126—478no—
1086#126—478no—
1087#126—478no—
1088#126—478no—
1089#126—478no—
1090#126—478no—
1091#126—478no—
1092#126—478no—
1093#126—478no—
1094#126C22×D4718yes—
1095#125—474no—
1096#125—478no—
1097#125—474no—
1098#125—474no—
1099#125—478no—
1100#125—478no—
1101#125—478no—
1102#125—472no—
1103#125—474no—
1104#125—478no—
1105#125C22×D4712yes—
1106#125C22×D4714yes—
1107#124—472no—
1108#124—474no—
1109#124—472no—
1110#124—474no—
1111#124—478no—
1112#124—478no—
1113#124—478no—
1114#124—478no—
1115#124—478no—
1116#124—478no—
1117#124—472no—
1118#124—474no—
1119#124—478no—
1120#124C22×D4712yes—
1121#124C22×D4714yes—
1122#123—474no—
1123#123—478no—
1124#123—474no—
1125#123—478no—
1126#123—478no—
1127#123—478no—
1128#123—478no—
1129#123—478no—
1130#123—478no—
1131#123—474no—
1132#123—478no—
1133#123—478no—
1134#123—478no—
1135#123—478no—
1136#123—478no—
1137#123—478no—
1138#123C22×D4714yes—
1139#123C22×D4718yes—
1140C22⋊Q8—474no—
1141C22⋊Q8—474no—
1142C22⋊Q8—474no—
1143C22⋊Q8—474no—
1144C22⋊Q8—474no—
1145C22⋊Q8—474no—
1146C22⋊Q8—478no—
1147C22⋊Q8—474no—
1148C22⋊Q8—478no—
1149C22⋊Q8—474no—
1150C22⋊Q8—474no—
1151C22⋊Q8—478no—
1152C22⋊Q8—478no—
1153C22⋊Q8—478no—
1154C22⋊Q8—478no—
1155C22⋊Q8—478no—
1156C22⋊Q8—478no—
1157C22⋊Q8C22×D4714yes—
1158C22⋊Q8C22×D4714yes—
1159C22⋊Q8C22×D4714yes—
1160#121—478no—
1161#121—474no—
1162#121—474no—
1163#121—474no—
1164#121—478no—
1165#121—478no—
1166#121—478no—
1167#121—478no—
1168#121—474no—
1169#121—474no—
1170#121—474no—
1171#121—478no—
1172#121—474no—
1173#121—474no—
1174#121—474no—
1175#121—478no—
1176#121—478no—
1177#121—478no—
1178#121—478no—
1179#121—478no—
1180#121—478no—
1181#121C22×D4714yes—
1182#121C22×D4714yes—
1183#121C22×D4714yes—
1184#120—474no—
1185#120—474no—
1186#120—478no—
1187#120—474no—
1188#120—478no—
1189#120C22×D4714yes—
1190C4×Q8—474no—
1191C4×Q8—474no—
1192C4×Q8—474no—
1193C4×Q8—474no—
1194C4×Q8—478no—
1195C4×Q8—474no—
1196C4×Q8—478no—
1197C4×Q8—474no—
1198C4×Q8—474no—
1199C4×Q8—472no—
1200C4×Q8—472no—
1201C4×Q8—472no—
1202C4×Q8—472no—
1203C4×Q8—472no—
1204C4×Q8—472no—
1205C4×Q8—472no—
1206C4×Q8—472no—
1207C4×Q8—478no—
1208C4×Q8—474no—
1209C4×Q8—478no—
1210C4×Q8—474no—
1211C4×Q8C22×D4714yes—
1212C4×Q8C22×D4714yes—
1213C4×Q8C22×D4714yes—
1214C4×D4—474no—
1215C4×D4—478no—
1216C4×D4—474no—
1217C4×D4—474no—
1218C4×D4—472no—
1219C4×D4—472no—
1220C4×D4—472no—
1221C4×D4—472no—
1222C4×D4—472no—
1223C4×D4—472no—
1224C4×D4—472no—
1225C4×D4—472no—
1226C4×D4—472no—
1227C4×D4—472no—
1228C4×D4—472no—
1229C4×D4—472no—
1230C4×D4—472no—
1231C4×D4—472no—
1232C4×D4—472no—
1233C4×D4—472no—
1234C4×D4—478no—
1235C4×D4—478no—
1236C4×D4—478no—
1237C4×D4—478no—
1238C4×D4—478no—
1239C4×D4—478no—
1240C4×D4—478no—
1241C4×D4—474no—
1242C4×D4—474no—
1243C4×D4—478no—
1244C4×D4—478no—
1245C4×D4—474no—
1246C4×D4—478no—
1247C4×D4—478no—
1248C4×D4—478no—
1249C4×D4—478no—
1250C4×D4—478no—
1251C4×D4—474no—
1252C4×D4—472no—
1253C4×D4—472no—
1254C4×D4—472no—
1255C4×D4—472no—
1256C4×D4—472no—
1257C4×D4—472no—
1258C4×D4—472no—
1259C4×D4—472no—
1260C4×D4—474no—
1261C4×D4—478no—
1262C4×D4—478no—
1263C4×D4—474no—
1264C4×D4C22×D4714yes—
1265C4×D4C22×D4718yes—
1266C4×D4C22×D4714yes—
1267C4×D4C22×D4718yes—
1268C4×D4C22×D4718yes—
1269C4×D4C22×D4714yes—
1270#117—472no—
1271#117—472no—
1272#117—472no—
1273#117—474no—
1274#117—472no—
1275#117—472no—
1276#117—474no—
1277#117—474no—
1278#117—478no—
1279#117—474no—
1280#117—474no—
1281#117—478no—
1282#117—474no—
1283#117—478no—
1284#117—478no—
1285#117—471no—
1286#117—471no—
1287#117—474no—
1288#117—471no—
1289#117—471no—
1290#117—472no—
1291#117—472no—
1292#117—474no—
1293#117—472no—
1294#117—472no—
1295#117—474no—
1296#117—472no—
1297#117—472no—
1298#117—478no—
1299#117—478no—
1300#117—478no—
1301#117C22×D4712yes—
1302#117C22×D4714yes—
1303#117C22×D4714yes—
1304#117C22×D4718yes—
1305C2×C4⋊C4—472no—
1306C2×C4⋊C4—472no—
1307C2×C4⋊C4—472no—
1308C2×C4⋊C4—478no—
1309C2×C4⋊C4—474no—
1310C2×C4⋊C4—478no—
1311C2×C4⋊C4—474no—
1312C2×C4⋊C4—478no—
1313C2×C4⋊C4—474no—
1314C2×C22⋊C4—472no—
1315C2×C22⋊C4—472no—
1316C2×C22⋊C4—472no—
1317C2×C22⋊C4—478no—
1318C2×C22⋊C4—474no—
1319C2×C22⋊C4—478no—
1320C2×C22⋊C4—478no—
1321C2×C42—471no—
1322C2×C42—471no—
1323C2×C42—474no—
1324C2×C42—472no—
1325C2×C42—472no—
1326C2×C42—474no—
1327C2×C42—474no—
1328C2×C42—474no—
1329C2×C42—472no—
1330C2×C42—472no—
1331C2×C42—472no—
1332C2×C42—472no—
1333C2×C42—471no—
1334C2×C42—471no—
1335C2×C42—472no—
1336C2×C42—471no—
1337C2×C42—471no—
1338C2×C42—472no—
1339C2×C42C22×D4711yescharacteristic
1340C2×C42C22×D4714yes—
1341C2×C42C22×D4712yes—
1342C2×C42C22×D4712yes—
1343C2×C42C22×D4712yes—
1344C2×C42C22×D4712yes—
1345C2×C42C22×D4712yes—
1346C2×C42C22×D4711yescharacteristic
1347C24—471no—
1348C24—474no—
1349C24—471no—
1350C24C23×D4711yescharacteristic
1351#41—28no—
1352#41—48no—
1353#41—948no—
1354#41—948no—
1355#41—948no—
1356#41—948no—
1357#41—9416no—
1358#41—9416no—
1359#41—948no—
1360#41—948no—
1361#41—948no—
1362#41—1888no—
1363#41—1888no—
1364#41—1888no—
1365C2×Q8—472no—
1366C2×Q8—472no—
1367C2×Q8—474no—
1368C2×Q8—474no—
1369C2×Q8—472no—
1370C2×Q8—478no—
1371C2×Q8—944no—
1372C2×Q8—948no—
1373C2×Q8—1888no—
1374C2×Q8C23×D4712yes—
1375C2×Q8C23×D4714yes—
1376C2×D4—472no—
1377C2×D4—474no—
1378C2×D4—472no—
1379C2×D4—472no—
1380C2×D4—474no—
1381C2×D4—472no—
1382C2×D4—474no—
1383C2×D4—478no—
1384C2×D4—478no—
1385C2×D4—478no—
1386C2×D4—472no—
1387C2×D4—474no—
1388C2×D4—472no—
1389C2×D4—472no—
1390C2×D4—474no—
1391C2×D4—478no—
1392C2×D4—944no—
1393C2×D4—948no—
1394C2×D4—944no—
1395C2×D4—9416no—
1396C2×D4—944no—
1397C2×D4—1888no—
1398C2×D4C23×D4714yes—
1399C2×D4C23×D4712yes—
1400C2×D4C23×D4714yes—
1401C2×D4C23×D4718yes—
1402C22×C4—24no—
1403C22×C4—44no—
1404C22×C4—471no—
1405C22×C4—478no—
1406C22×C4—471no—
1407C22×C4—471no—
1408C22×C4—471no—
1409C22×C4—471no—
1410C22×C4—471no—
1411C22×C4—474no—
1412C22×C4—472no—
1413C22×C4—472no—
1414C22×C4—478no—
1415C22×C4—472no—
1416C22×C4—472no—
1417C22×C4—472no—
1418C22×C4—472no—
1419C22×C4—472no—
1420C22×C4—474no—
1421C22×C4—474no—
1422C22×C4—474no—
1423C22×C4—472no—
1424C22×C4—472no—
1425C22×C4—472no—
1426C22×C4—472no—
1427C22×C4—472no—
1428C22×C4—478no—
1429C22×C4—478no—
1430C22×C4—478no—
1431C22×C4—9416no—
1432C22×C4—944no—
1433C22×C4—1884no—
1434C22×C4—1884no—
1435C22×C4C23×D4712yes—
1436C22×C4C23×D4711yescharacteristic
1437C22×C4C23×D4712yes—
1438C22×C4C23×D4712yes—
1439C22×C4C23×D4712yes—
1440C22×C4C23×D4714yes—
1441C22×C4C23×D4712yes—
1442C22×C4C23×D4712yes—
1443C22×C4C23×D4712yes—
1444C22×C4C23×D4712yes—
1445C22×C4C23×D4718yes—
1446C22×C4C23×D4711yescharacteristic
1447C4⋊C4—472no—
1448C4⋊C4—472no—
1449C4⋊C4—478no—
1450C4⋊C4—472no—
1451C4⋊C4—472no—
1452C4⋊C4—472no—
1453C4⋊C4—472no—
1454C4⋊C4—478no—
1455C4⋊C4—478no—
1456C4⋊C4—478no—
1457C4⋊C4—472no—
1458C4⋊C4—472no—
1459C4⋊C4—478no—
1460C4⋊C4—478no—
1461C4⋊C4—478no—
1462C4⋊C4—478no—
1463C4⋊C4—478no—
1464C4⋊C4—474no—
1465C4⋊C4—474no—
1466C4⋊C4—474no—
1467C4⋊C4—472no—
1468C4⋊C4—472no—
1469C4⋊C4—478no—
1470C4⋊C4—472no—
1471C4⋊C4—472no—
1472C4⋊C4—478no—
1473C4⋊C4—478no—
1474C4⋊C4C23×D4714yes—
1475C4⋊C4C23×D4714yes—
1476C4⋊C4C23×D4714yes—
1477C4⋊C4C23×D4718yes—
1478C4⋊C4C23×D4718yes—
1479C4⋊C4C23×D4718yes—
1480C22⋊C4—474no—
1481C22⋊C4—472no—
1482C22⋊C4—472no—
1483C22⋊C4—478no—
1484C22⋊C4—472no—
1485C22⋊C4—472no—
1486C22⋊C4—478no—
1487C22⋊C4—478no—
1488C22⋊C4—478no—
1489C22⋊C4—472no—
1490C22⋊C4—472no—
1491C22⋊C4—478no—
1492C22⋊C4—472no—
1493C22⋊C4—472no—
1494C22⋊C4—472no—
1495C22⋊C4—472no—
1496C22⋊C4—478no—
1497C22⋊C4—478no—
1498C22⋊C4—478no—
1499C22⋊C4—472no—
1500C22⋊C4—472no—
1501C22⋊C4—478no—
1502C22⋊C4—478no—
1503C22⋊C4—478no—
1504C22⋊C4—478no—
1505C22⋊C4—478no—
1506C22⋊C4C23×D4714yes—
1507C22⋊C4C23×D4718yes—
1508C22⋊C4C23×D4718yes—
1509C22⋊C4C23×D4718yes—
1510C22⋊C4C23×D4718yes—
1511C42—472no—
1512C42—472no—
1513C42—472no—
1514C42—471no—
1515C42—471no—
1516C42—472no—
1517C42—472no—
1518C42—472no—
1519C42—472no—
1520C42—472no—
1521C42—472no—
1522C42—478no—
1523C42—478no—
1524C42—478no—
1525C42—478no—
1526C42—471no—
1527C42—471no—
1528C42—472no—
1529C42—474no—
1530C42C23×D4711yescharacteristic
1531C42C23×D4711yescharacteristic
1532C42C23×D4712yes—
1533C42C23×D4712yes—
1534C42C23×D4712yes—
1535C42C23×D4712yes—
1536C42C23×D4712yes—
1537C42C23×D4718yes—
1538C42C23×D4711yescharacteristic
1539C42C23×D4712yes—
1540C42C23×D4714yes—
1541C42C23×D4711yescharacteristic
1542C23—22no—
1543C23—42no—
1544C23—471no—
1545C23—471no—
1546C23—474no—
1547C23—472no—
1548C23—474no—
1549C23—948no—
1550C23—942no—
1551C23—1888no—
1552C23—1882no—
1553C23—1882no—
1554C23C24×D4712yes—
1555C23C24×D4714yes—
1556C23C24×D4711yescharacteristic
1557Q8—24no—
1558Q8—28no—
1559Q8—944no—
1560Q8—944no—
1561Q8—948no—
1562Q8—944no—
1563Q8—948no—
1564Q8—1888no—
1565D4—28no—
1566D4—24no—
1567D4—28no—
1568D4—48no—
1569D4—944no—
1570D4—944no—
1571D4—948no—
1572D4—944no—
1573D4—944no—
1574D4—948no—
1575D4—944no—
1576D4—944no—
1577D4—948no—
1578D4—948no—
1579D4—944no—
1580D4—948no—
1581D4—1888no—
1582D4—1888no—
1583D4—1888no—
1584D4—1888no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—28no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—24no—
1592C2×C4—42no—
1593C2×C4—42no—
1594C2×C4—42no—
1595C2×C4—48no—
1596C2×C4—474no—
1597C2×C4—471no—
1598C2×C4—471no—
1599C2×C4—474no—
1600C2×C4—474no—
1601C2×C4—474no—
1602C2×C4—474no—
1603C2×C4—472no—
1604C2×C4—472no—
1605C2×C4—472no—
1606C2×C4—472no—
1607C2×C4—474no—
1608C2×C4—478no—
1609C2×C4—472no—
1610C2×C4—948no—
1611C2×C4—948no—
1612C2×C4—948no—
1613C2×C4—942no—
1614C2×C4—948no—
1615C2×C4—944no—
1616C2×C4—944no—
1617C2×C4—944no—
1618C2×C4—944no—
1619C2×C4—944no—
1620C2×C4—944no—
1621C2×C4—1882no—
1622C2×C4—1882no—
1623C2×C4—1882no—
1624C2×C4—1882no—
1625C2×C4—1888no—
1626C2×C4—1888no—
1627C2×C4—1888no—
1628C2×C4—1882no—
1629C2×C4—1882no—
1630C2×C4—1888no—
1631C2×C4#41×D4714yes—
1632C2×C4C24×D4712yes—
1633C2×C4C24×D4712yes—
1634C2×C4C24×D4714yes—
1635C2×C4C24×D4718yes—
1636C2×C4C24×D4712yes—
1637C2×C4C24×D4712yes—
1638C2×C4C24×D4711yescharacteristic
1639C2×C4C24×D4712yes—
1640C2×C4C24×D4711yescharacteristic
1641C22—22no—
1642C22—22no—
1643C22—24no—
1644C22—22no—
1645C22—22no—
1646C22—28no—
1647C22—44no—
1648C22—472no—
1649C22—472no—
1650C22—942no—
1651C22—942no—
1652C22—944no—
1653C22—942no—
1654C22—942no—
1655C22—942no—
1656C22—948no—
1657C22—3768no—
1658C22—1884no—
1659C22—1884no—
1660C22C2×#41×D4712yes—
1661C22C25×D4711yescharacteristic
1662C4—22no—
1663C4—24no—
1664C4—22no—
1665C4—22no—
1666C4—22no—
1667C4—28no—
1668C4—472no—
1669C4—472no—
1670C4—944no—
1671C4—942no—
1672C4—942no—
1673C4—942no—
1674C4—942no—
1675C4—942no—
1676C4—948no—
1677C4C2×#41×D4712yes—
1678C4C2×#41×D4712yes—
1679C4#1568995914yes—
1680C2—22no—
1681C2—42no—
1682C2—44no—
1683C2—942no—
1684C2—942no—
1685C2—1884no—
1686C2—1882no—
1687C2C22×#41×D4711yescharacteristic
1688C2C2×#1568995912yes—
subgroupG/H
centerC2×C4C24×D47
commutator, socle, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC47×#3444C2
hypercenter#3444D47
hypocenterC47#62815
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #20257303C2semidirect
2. #20257300C2semidirect
3. #20257289C2semidirect
4. #20257277C2semidirect
5. #20257267C2semidirect
6. #20257257C2semidirect
7. #20257244C2semidirect
8. #20257231C2semidirect
9. #20257223C2semidirect
10. #20257216C2semidirect
11. #20256986C2semidirect
12. #20256979C2semidirect
13. #20256950C2semidirect
14. #20256944C2semidirect
15. #20256776C2semidirect
16. #20256773C2semidirect
17. #20256718C2semidirect
18. #20256685C2semidirect
19. #20256684C2semidirect
20. #20256683C2semidirect
21. #533×D47C2semidirect
22. #532×D47C2semidirect
23. #20256587C2semidirect
24. C2×C4×#10625350C2semidirect
25. C47×#3444C2semidirect
28. #15689857C22semidirect
29. #15689856C22semidirect
30. #15689856C22semidirect
31. #15689855C22semidirect
32. #15689850C22semidirect
33. #15689849C22semidirect
34. #15689845C22semidirect
35. #15689844C22semidirect
36. #15689842C22semidirect
37. #15689841C22semidirect
38. #15689841C22semidirect
39. #15689840C22semidirect
40. #15689837C22semidirect
41. #15689836C22semidirect
42. #15689832C22semidirect
43. #15689829C22semidirect
44. #15689826C22semidirect
45. #15689824C22semidirect
46. #15689823C22semidirect
47. #15689823C22semidirect
48. #15689822C22semidirect
49. #15689820C22semidirect
50. #15689818C22semidirect
51. #15689818C22semidirect
52. #15689817C22semidirect
53. #15689817C22semidirect
54. #15689814C22semidirect
55. #15689812C22semidirect
56. #15689811C22semidirect
57. #15689809C22semidirect
58. #15689807C22semidirect
59. #15689806C22semidirect
60. #15689802C22semidirect
61. #15689801C22semidirect
62. #15689798C22semidirect
63. #15689797C22semidirect
64. #15689792C22semidirect
65. #15689791C22semidirect
66. #15689785C22semidirect
67. #15689783C22semidirect
68. #15689781C22semidirect
69. #15689780C22semidirect
70. #15689775C22semidirect
71. #15689772C22semidirect
72. #15689770C22semidirect
73. #15689768C22semidirect
74. #15689766C22semidirect
75. #15689761C22semidirect
76. #15689746C22semidirect
77. #15689745C22semidirect
78. #15689740C22semidirect
79. #15689738C22semidirect
80. #15689733C22semidirect
81. #15689731C22semidirect
82. #15689726C22semidirect
83. #15689724C22semidirect
84. #15689717C22semidirect
85. #15689715C22semidirect
86. #15689708C22semidirect
87. #15689706C22semidirect
88. #15689703C22semidirect
89. #15689702C22semidirect
91. #15689695C22semidirect
93. #15689688C22semidirect
96. #15689680C22semidirect
97. #15689680C22semidirect
98. #15689679C22semidirect
99. #15689678C22semidirect
100. #15689678C22semidirect
101. #15689678C22semidirect
102. #15689677C22semidirect
103. #15689676C22semidirect
104. #15689675C22semidirect
105. #15689674C22semidirect
106. #15689674C22semidirect
108. #15689673C22semidirect
109. #15689672C22semidirect
110. #15689671C22semidirect
111. #15689671C22semidirect
112. #15689670C22semidirect
113. #15689670C22semidirect
116. C4⋊Q8×D47C22semidirect
117. C4⋊Q8×D47C22semidirect
118. #127×D47C22semidirect
119. #15689660C22semidirect
120. #15689659C22semidirect
121. #15689658C22semidirect
122. #15689657C22semidirect
123. #15689657C22semidirect
124. #15689657C22semidirect
125. #15689657C22semidirect
126. #15689655C22semidirect
127. #15689655C22semidirect
128. #15689654C22semidirect
129. #15689653C22semidirect
130. #15689652C22semidirect
131. #15689651C22semidirect
132. #125×D47C22semidirect
133. #124×D47C22semidirect
134. #15689636C22semidirect
135. #15689635C22semidirect
136. #15689634C22semidirect
137. #15689634C22semidirect
138. #15689633C22semidirect
140. #15689630C22semidirect
143. #15689605C22semidirect
144. #15689602C22semidirect
145. #15689602C22semidirect
146. #15689599C22semidirect
148. #15689595C22semidirect
149. #41×Dic47C22semidirect
150. C4×#10625354C22semidirect
155. C4×#10625350C22semidirect
156. C4×#10625350C22semidirect
157. C4×#10625350C22semidirect
158. C4×#10625350C22semidirect
159. C4×#10625350C22semidirect
160. C4×#10625350C22semidirect
161. C4×#10625350C22semidirect
162. #15689591C22semidirect
163. #15689591C22semidirect
164. C4×#10625352C22semidirect
165. C2×C4×Dic94C22semidirect
166. C4×Q8×D47C22semidirect
169. C2×C4×C22⋊D47C22semidirect
170. C4×D4×D47C22semidirect
171. C2×#13093983C22semidirect
173. C2×#13093981C22semidirect
174. C2×#13093981C22semidirect
176. #117×D47C22semidirect
178. C2×C42×D47C22semidirect
179. C47×#533C22semidirect
180. C47×#533C22semidirect
182. C47×#532C22semidirect
183. C47×#529C22semidirect
184. C47×#529C22semidirect
185. C47×#529C22semidirect
186. C47×#525C22semidirect
187. C47×#525C22semidirect
188. C4×#41×C47C22semidirect
189. C4×#41×C47C22semidirect
190. C22×C42×C47C22semidirect
574. C2×C4×D47#41semidirect
856. #3444D47semidirect
949. #533C2×D47semidirect
950. #533C2×D47semidirect
963. #532C2×D47semidirect
980. #529C2×D47semidirect
981. #529C2×D47semidirect
982. #529C2×D47semidirect
992. #525C2×D47semidirect
993. #525C2×D47semidirect
1018. C4×#41C2×D47semidirect
1019. C4×#41C2×D47semidirect
1034. C22×C42C2×D47semidirect
1035. C47#62815semidirect

Maximal subgroups

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

subgroupindex
#202573032
#202573002
#202572892
#202572772
#202572672
#202572572
#202572442
#202572312
#202572232
#202572162
#202569862
#202569792
#202569502
#202569442
#202567762
#202567732
#202567182
#202566852
#202566842
#202566832
#533×D472
#532×D472
#202565872
C2×C4×#106253502
C47×#34442
#6281547