Finite Group Databasebeta

← #26005255

Subgroups — #26005255

Order 11008.

7382 conjugacy classes of subgroups.

The subgroup lattice has 2114 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148805C212yesmaximal, complemented
2#19148801C212yesmaximal, complemented
3#19148799C214yesmaximal, complemented
4#19148790C212yesmaximal, complemented
5#19148774C212yesmaximal, complemented
6#19148772C214yesmaximal, complemented
7#19148765C214yesmaximal, complemented
8#19148761C214yesmaximal, complemented
9#19148538C214yesmaximal, complemented
10#19148537C214yesmaximal, complemented
11#19148526C214yesmaximal, complemented
12#19148525C214yesmaximal, complemented
13#19148304C211yesmaximal, characteristic, complemented
14#19148296C212yesmaximal, complemented
15#19148290C214yesmaximal, complemented
16#19148278C212yesmaximal, complemented
17#19148278C212yesmaximal, complemented
18#19148278C212yesmaximal, complemented
19#19148234C214yesmaximal, complemented
20#19148228C212yesmaximal, complemented
21#525×D43C212yesmaximal, complemented
22C22×#13063310C211yesmaximal, characteristic, complemented
23C43×#3492C211yesmaximal, characteristic, complemented
24C2×#13063371C2212yescomplemented
25C2×#41×D43C2212yescomplemented
26C23×D172C2211yescharacteristic
27C23×C4×D43C2211yescharacteristic, complemented
28#14583653C2214yescomplemented
29#14583648C2214yescomplemented
30#14583647C2214yescomplemented
31#14583646C2214yescomplemented
32#14583645C2214yescomplemented
33#14583645C2214yescomplemented
34#14583640C2214yescomplemented
35#14583637C2214yescomplemented
36#14583634C2214yescomplemented
37#14583633C2214yescomplemented
38#14583608C2214yescomplemented
39#14583604C2214yescomplemented
40#14583603C2214yescomplemented
41#14583602C2214yescomplemented
42#14583600C2214yescomplemented
43#14583598C2214yescomplemented
44#14583598C2214yescomplemented
45#14583597C2214yescomplemented
46#14583597C2214yescomplemented
47#14583592C2214yescomplemented
48#14583590C2214yescomplemented
49#14583587C2214yescomplemented
50#14583586C2214yescomplemented
51#14583584C2214yescomplemented
52#14583582C2214yescomplemented
53#14583581C2214yescomplemented
54#14583581C2214yescomplemented
55#14583578C2214yescomplemented
56#14583578C2214yescomplemented
57#14583578C2214yescomplemented
58#14583576C2214yescomplemented
59#14583576C2214yescomplemented
60#14583576C2214yescomplemented
61#14583576C2214yescomplemented
62#14583576C2214yescomplemented
63#14583574C2214yescomplemented
64#14583574C2214yescomplemented
65#14583573C2214yescomplemented
66#14583573C2214yescomplemented
67#14583573C2214yescomplemented
68#14583573C2214yescomplemented
69#14583573C2214yescomplemented
70#14583572C2214yescomplemented
71#14583572C2214yescomplemented
72#14583572C2214yescomplemented
73#14583552C2214yescomplemented
74#14583551C2214yescomplemented
75#14583550C2214yescomplemented
76#14583550C2214yescomplemented
77#14583548C2214yescomplemented
78#14583547C2214yescomplemented
79#14583547C2214yescomplemented
80#14583545C2214yescomplemented
81#14583545C2214yescomplemented
82#14583545C2214yescomplemented
83#14583544C2214yescomplemented
84#14583544C2214yescomplemented
85#14583544C2214yescomplemented
86#14583541C2214yescomplemented
87#14583541C2214yescomplemented
88#14583541C2214yescomplemented
89#14583541C2214yescomplemented
90#14583540C2214yescomplemented
91#14583540C2214yescomplemented
92#14583540C2214yescomplemented
93#14583538C2214yescomplemented
94#14583538C2214yescomplemented
95#14583538C2214yescomplemented
96#14583538C2214yescomplemented
97#14583537C2214yescomplemented
98#14583537C2214yescomplemented
99#14583537C2214yescomplemented
100D4×D172C2214yescomplemented
101D4×D172C2214yescomplemented
102#14583533C2214yescomplemented
103#14583533C2214yescomplemented
104#14583530C2211yescharacteristic, complemented
105#14583528C2212yescomplemented
106#14583524C2212yescomplemented
107#14583524C2212yescomplemented
108#14583524C2212yescomplemented
109#14583523C2214yescomplemented
110#14583521C2214yescomplemented
111#14583519C2214yescomplemented
112#14583515C2214yescomplemented
113#14583505C2214yescomplemented
114#14583504C2214yescomplemented
115#14583501C2214yescomplemented
116#14583499C2214yescomplemented
117#14583498C2212yescomplemented
118#14583498C2214yescomplemented
119#14583497C2214yescomplemented
120#14583497C2214yescomplemented
121#14583497C2214yescomplemented
122#14583497C2214yescomplemented
123#14583496C2212yescomplemented
124#14583496C2212yescomplemented
125#14583496C2214yescomplemented
126#14583495C2214yescomplemented
127#14583494C2212yescomplemented
128#14583491C2214yescomplemented
129#14583490C2214yescomplemented
130#14583489C2212yescomplemented
131#14583489C2212yescomplemented
132#14583489C2212yescomplemented
133#14583489C2214yescomplemented
134#14583488C2214yescomplemented
135#14583486C2212yescomplemented
136#14583486C2212yescomplemented
137#14583486C2212yescomplemented
138#14583485C2214yescomplemented
139#14583482C2214yescomplemented
140#14583482C2214yescomplemented
141#14583482C2214yescomplemented
142#14583482C2214yescomplemented
143#14583480C2211yescharacteristic, complemented
144#14583476C2212yescomplemented
145#14583474C2214yescomplemented
146#14583472C2214yescomplemented
147#14583468C2212yescomplemented
148#14583463C2212yescomplemented
149#14583460C2214yes—
150#14583460C2214yescomplemented
151#14583460C2214yescomplemented
152#14583457C2212yescomplemented
153#14583457C2212yescomplemented
154#14583457C2212yescomplemented
155#14583457C2214yescomplemented
156#14583436C2214yescomplemented
157#14583434C2214yescomplemented
158#14583432C2214yescomplemented
159#14583427C2214yescomplemented
160#14583412C2212yescomplemented
161#14583412C2212yescomplemented
162#14583412C2214yescomplemented
163#14583411C2212yescomplemented
164#14583410C2212yescomplemented
165#14583410C2212yescomplemented
166#14583410C2212yescomplemented
167#14583409C2212yescomplemented
168#14583409C2212yescomplemented
169#14583408C2214yescomplemented
170#14583408C2214yescomplemented
171#14583408C2214yescomplemented
172#14583407C2214yescomplemented
173#14583406C2212yescomplemented
174#14583405C2214yescomplemented
175#14583405C2214yescomplemented
176C2×#13063310C2212yescomplemented
177C2×#13063310C2214yescomplemented
178C2×#13063310C2212yescomplemented
179C2×#13063310C2214yescomplemented
180C2×#13063310C2214yescomplemented
181C2×#13063310C2212yescomplemented
182C2×#13063310C2214yescomplemented
183C2×#13063310C2212yescomplemented
184C2×#13063310C2214yescomplemented
185#123×D43C2214yescomplemented
186#123×D43C2214yescomplemented
187C22⋊Q8×D43C2212yescomplemented
188C22⋊Q8×D43C2212yescomplemented
189#121×D43C2212yescomplemented
190#121×D43C2212yescomplemented
191#120×D43C2214yescomplemented
192#120×D43C2214yescomplemented
193#14583380C2212yescomplemented
194#14583378C2214yescomplemented
195#14583373C2212yescomplemented
196#14583371C2214yescomplemented
197#14583371C2214yescomplemented
198#14583371C2214yescomplemented
199C4×D4×D43C2214yescomplemented
200C4×D4×D43C2214yescomplemented
201#117×D43C2212yescomplemented
202C22×Dic43⋊C4C2211yescharacteristic, complemented
203C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
204C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
205C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
206C43×#554C2214yescomplemented
207C43×#553C2214yescomplemented
208C43×#552C2214yescomplemented
209C43×#547C2214yescomplemented
210C43×#544C2211yescharacteristic, complemented
211C43×#539C2212yescomplemented
212C43×#539C2212yescomplemented
213C43×#537C2211yescharacteristic, complemented
214C43×#525C2212yescomplemented
215C43×#525C2212yescomplemented
216C43×#525C2212yescomplemented
217C43×#520C2212yescomplemented
218C22×C4⋊C4×C43C2211yescharacteristic, complemented
219C24×D43C2311yescharacteristic
220C24×D43C2311yescharacteristic
221#13063371—48no—
222C2×#10621902C2314yes—
223C2×#10621902C2312yescomplemented
224C2×#10621898C2312yes—
225C2×#10621898C2314yes—
226C2×#10621898C2312yes—
227C2×#10621898C2312yes—
228C2×#10621898C2314yescomplemented
229C2×#10621900C2314yes—
230C2×#10621900C2314yes—
231C2×#10621900C2312yescomplemented
232#41×D43—48no—
233C2×Q8×D43C2312yescomplemented
234C22×D172—44no—
235C22×D172C2312yes—
236C22×D172C2312yes—
237C22×D172C2312yes—
238C22×D172C2314yes—
239C22×D172C2312yes—
240C22×D172C2314yes—
241C2×D4×D43C2314yes—
242C2×D4×D43C2314yes—
243C2×D4×D43C2314yes—
244C2×D4×D43C2314yes—
245C2×D4×D43C2314yes—
246C2×D4×D43C2314yes—
247C2×D4×D43C2314yes—
248C2×D4×D43C2312yescomplemented
249C23×Dic43C2311yescharacteristic
250C23×Dic43C2311yescharacteristic
251C22×C4×D43—44no—
252C22×C4×D43C2312yes—
253C22×C4×D43C2312yes—
254C22×C4×D43C2312yes—
255C22×C4×D43C2312yes—
256C22×C4×D43C2312yes—
257C22×C4×D43C2312yes—
258C22×C4×D43C2314yescomplemented
259#13063324C2314yescomplemented
260#13063324C2314yescomplemented
261#13063323C2314yescomplemented
262#13063322C2314yes—
263#13063321C2314yes—
264#13063320C2314yescomplemented
265#13063320C2314yescomplemented
266#13063320C2314yescomplemented
267#13063320C2314yescomplemented
268#13063320C2314yescomplemented
269#13063320C2314yescomplemented
270#13063320C2314yescomplemented
271#13063320C2314yescomplemented
272#13063320C2314yescomplemented
273#13063320C2314yescomplemented
274#13063320C2314yescomplemented
275#13063320C2314yescomplemented
276#13063319C2314yescomplemented
277#13063319C2314yescomplemented
278#13063319C2314yescomplemented
279#13063319C2314yescomplemented
280#13063318C2314yescomplemented
281#13063318C2314yescomplemented
282#13063317C2314yescomplemented
283#13063316C2314yescomplemented
284#13063316C2314yescomplemented
285#13063315C2314yescomplemented
286#13063315C2314yescomplemented
287#13063315C2314yescomplemented
288#13063315C2314yescomplemented
289#13063315C2314yescomplemented
290#13063315C2314yescomplemented
291#13063314C2314yes—
292#13063314C2314yescomplemented
293#13063314C2314yescomplemented
294#13063314C2314yescomplemented
295#13063313C2314yes—
296#13063313C2314yescomplemented
297#13063313C2314yescomplemented
298#13063313C2314yescomplemented
299#13063311C2314yescomplemented
300#13063311C2314yescomplemented
301#13063311C2314yescomplemented
302#13063311C2314yescomplemented
303#13063311C2314yescomplemented
304#13063311C2314yescomplemented
305#13063310C2314yes—
306#13063310C2314yes—
307#13063310C2314yes—
308#13063310C2314yes—
309#13063310C2314yes—
310#13063310C2314yes—
311#13063310C2314yes—
312#13063310C2314yes—
313#13063310C2314yes—
314#13063310C2314yes—
315#13063310C2314yes—
316#13063310C2314yes—
317#13063310C2314yes—
318#13063310C2314yes—
319#13063310C2314yes—
320#13063310C2314yes—
321#13063310C2314yes—
322#13063310C2314yes—
323#13063310C2314yes—
324#13063310C2314yes—
325#13063310C2314yescomplemented
326#13063310C2314yescomplemented
327#13063310C2314yescomplemented
328#13063310C2314yescomplemented
329#13063310C2314yescomplemented
330#13063310C2314yescomplemented
331#13063310C2314yescomplemented
332#13063310C2314yescomplemented
333#13063310C2314yescomplemented
334#13063310C2314yescomplemented
335#13063310C2314yescomplemented
336#13063310C2314yescomplemented
337#13063310C2314yescomplemented
338#13063310C2314yescomplemented
339#13063309C2314yes—
340#13063309C2314yes—
341#13063309C2314yescomplemented
342#13063309C2314yescomplemented
343#13063309C2314yescomplemented
344#13063308C2314yes—
345#13063308C2314yes—
346#13063308C2314yes—
347#13063308C2314yescomplemented
348#13063308C2314yescomplemented
349#13063308C2314yescomplemented
350#13063308C2314yescomplemented
351#13063307C2314yescomplemented
352#13063307C2314yescomplemented
353#13063307C2314yescomplemented
354#13063307C2314yescomplemented
355#13063307C2314yescomplemented
356#13063307C2314yescomplemented
357#13063306C2314yes—
358#13063306C2314yes—
359#13063306C2314yescomplemented
360#13063305C2314yescomplemented
361#13063305C2314yescomplemented
362#13063305C2314yescomplemented
363#13063305C2314yescomplemented
364#13063305C2312yescomplemented
365#13063305C2312yescomplemented
366#13063304C2312yes—
367#13063304C2312yes—
368#13063304C2312yes—
369#13063304C2312yes—
370#13063304C2312yes—
371#13063304C2312yes—
372#13063304C2314yescomplemented
373#13063303C2314yescomplemented
374#13063303C2314yescomplemented
375#13063303C2314yescomplemented
376#13063303C2314yescomplemented
377#13063303C2314yescomplemented
378#13063303C2314yescomplemented
379#13063303C2314yescomplemented
380#13063303C2314yescomplemented
381#13063303C2314yescomplemented
382#13063303C2314yescomplemented
383#13063303C2314yescomplemented
384#13063303C2314yescomplemented
385#13063302C2314yes—
386#13063302C2314yes—
387#13063302C2314yes—
388#13063302C2314yes—
389#13063302C2314yescomplemented
390#13063302C2314yescomplemented
391#13063301C2314yescomplemented
392#13063301C2314yescomplemented
393#13063301C2314yescomplemented
394#13063301C2314yescomplemented
395#13063301C2312yescomplemented
396#13063301C2312yescomplemented
397#13063300C2314yes—
398#13063300C2314yes—
399#13063300C2314yes—
400#13063300C2314yes—
401#13063300C2314yes—
402#13063300C2314yes—
403#13063300C2314yescomplemented
404#13063300C2314yescomplemented
405#13063300C2314yescomplemented
406#13063300C2314yescomplemented
407#13063300C2312yescomplemented
408#13063300C2312yescomplemented
409#13063299C2312yes—
410#13063299C2312yes—
411#13063299C2312yes—
412#13063299C2314yes—
413#13063299C2312yes—
414#13063299C2314yes—
415#13063299C2312yes—
416#13063299C2312yes—
417#13063299C2314yescomplemented
418#13063299C2314yescomplemented
419#13063299C2314yescomplemented
420#13063298C2314yes—
421#13063298C2314yes—
422#13063298C2314yes—
423#13063298C2314yes—
424#13063298C2314yescomplemented
425#13063298C2314yescomplemented
426#13063298C2314yescomplemented
427#13063298C2314yescomplemented
428#13063298C2314yescomplemented
429#13063298C2314yescomplemented
430#13063297C2314yes—
431#13063297C2314yes—
432#13063297C2314yes—
433#13063297C2314yes—
434#13063297C2314yescomplemented
435#13063297C2314yescomplemented
436#13063297C2314yescomplemented
437#13063297C2314yescomplemented
438#13063296C2312yescomplemented
439#13063296C2312yescomplemented
440#13063295C2314yes—
441#13063295C2314yes—
442#13063295C2314yes—
443#13063295C2314yes—
444#13063295C2314yes—
445#13063295C2314yes—
446#13063295C2314yes—
447#13063295C2314yes—
448#13063295C2314yes—
449#13063295C2314yes—
450#13063295C2314yescomplemented
451#13063295C2314yescomplemented
452#13063295C2314yescomplemented
453#13063294C2314yes—
454#13063293C2314yes—
455#13063293C2314yes—
456#13063293C2314yes—
457#13063293C2314yes—
458#13063293C2314yes—
459#13063293C2314yes—
460#13063293C2314yescomplemented
461#13063293C2314yescomplemented
462#13063293C2314yescomplemented
463C4×Dic86C2314yescomplemented
464#13063290C2314yescomplemented
465#13063290C2314yescomplemented
466C4×D172C2314yes—
467C4×D172C2314yes—
468C4×D172C2314yescomplemented
469C4×D172C2314yescomplemented
470C4×D172C2314yescomplemented
471C4×D172C2314yescomplemented
472C4×D172C2314yescomplemented
473D4×Dic43C2314yes—
474D4×Dic43C2314yes—
475D4×Dic43C2314yes—
476D4×Dic43C2314yes—
477#13063287C2314yes—
478#13063287C2314yes—
479#13063287C2314yescomplemented
480#13063287C2314yescomplemented
481#13063287C2314yescomplemented
482#13063287C2314yescomplemented
483#13063287C2314yescomplemented
484#13063287C2314yescomplemented
485C4×C22⋊D43C2314yes—
486C4×C22⋊D43C2314yes—
487C4×C22⋊D43C2314yes—
488C4×C22⋊D43C2314yes—
489C4×C22⋊D43C2314yes—
490C4×C22⋊D43C2314yes—
491C4×C22⋊D43C2314yescomplemented
492C4×C22⋊D43C2314yescomplemented
493C4×C22⋊D43C2314yescomplemented
494C4×C22⋊D43C2314yescomplemented
495C4×C22⋊D43C2314yescomplemented
496C4×C22⋊D43C2314yescomplemented
497(C22⋊D43)⋊C4C2314yes—
498(C22⋊D43)⋊C4C2314yes—
499(C22⋊D43)⋊C4C2314yes—
500(C22⋊D43)⋊C4C2314yes—
501(C22⋊D43)⋊C4C2314yescomplemented
502(C22⋊D43)⋊C4C2314yescomplemented
503(C22⋊D43)⋊C4C2314yescomplemented
504(C22⋊D43)⋊C4C2314yescomplemented
505(C22⋊D43)⋊C4C2314yescomplemented
506(C22⋊D43)⋊C4C2314yescomplemented
507#13063284C2312yes—
508#13063284C2312yes—
509#13063284C2312yes—
510#13063283C2314yescomplemented
511#13063283C2314yescomplemented
512#13063283C2314yescomplemented
513#13063283C2312yescomplemented
514#13063283C2314yescomplemented
515#13063283C2312yescomplemented
516#13063282C2314yescomplemented
517#13063282C2314yescomplemented
518#13063282C2314yescomplemented
519#13063282C2314yescomplemented
520#13063282C2314yescomplemented
521#13063281C2314yes—
522#13063281C2314yes—
523#13063281C2314yescomplemented
524C2×Dic43⋊C4C2314yes—
525C2×Dic43⋊C4C2312yes—
526C2×Dic43⋊C4C2312yes—
527C2×Dic43⋊C4C2312yes—
528C2×Dic43⋊C4C2312yes—
529C2×Dic43⋊C4C2314yescomplemented
530C4⋊C4×D43C2314yescomplemented
531C4⋊C4×D43C2314yescomplemented
532C4⋊C4×D43C2314yescomplemented
533C4⋊C4×D43C2314yescomplemented
534C4⋊C4×D43C2312yescomplemented
535C4⋊C4×D43C2312yescomplemented
536C2×(C2×D43)⋊C4C2312yes—
537C2×(C2×D43)⋊C4C2312yes—
538C2×(C2×D43)⋊C4C2314yes—
539C2×(C2×D43)⋊C4C2312yes—
540C2×(C2×D43)⋊C4C2312yes—
541C2×(C2×D43)⋊C4C2314yes—
542C2×(C2×D43)⋊C4C2314yes—
543C2×(C2×D43)⋊C4C2314yes—
544C2×(C2×D43)⋊C4C2312yes—
545C2×(C2×D43)⋊C4C2312yes—
546C2×(C2×D43)⋊C4C2312yes—
547C2×(C2×D43)⋊C4C2312yes—
548C2×(C2×D43)⋊C4C2312yes—
549C2×(C2×D43)⋊C4C2312yes—
550C2×(C2×D43)⋊C4C2314yescomplemented
551C2×(C2×D43)⋊C4C2314yescomplemented
552C2×(C2×D43)⋊C4C2314yescomplemented
553C22⋊C4×D43C2314yes—
554C22⋊C4×D43C2314yes—
555C22⋊C4×D43C2314yes—
556C22⋊C4×D43C2314yes—
557C22⋊C4×D43C2314yes—
558C22⋊C4×D43C2314yes—
559C22⋊C4×D43C2314yescomplemented
560C22⋊C4×D43C2314yescomplemented
561C22⋊C4×D43C2314yescomplemented
562C22⋊C4×D43C2314yescomplemented
563C22⋊C4×D43C2314yescomplemented
564C42×D43C2314yescomplemented
565C2×#41×C43C2312yes—
566C2×#41×C43C2312yes—
567C2×#41×C43C2312yes—
568C23×C4×C43C2311yescharacteristic
569C23×C4×C43C2311yescharacteristic
570C23×C4×C43C2311yescharacteristic
571C4⋊Q8×C43C2314yescomplemented
572#126×C43C2314yescomplemented
573#126×C43C2314yescomplemented
574#125×C43C2314yescomplemented
575#125×C43C2314yescomplemented
576#125×C43C2314yescomplemented
577#123×C43C2314yes—
578#123×C43C2314yes—
579#123×C43C2314yes—
580#123×C43C2314yescomplemented
581#123×C43C2314yescomplemented
582C22⋊Q8×C43C2312yes—
583C22⋊Q8×C43C2312yes—
584C22⋊Q8×C43C2312yes—
585C22⋊Q8×C43C2312yes—
586C22⋊Q8×C43C2312yes—
587C22⋊Q8×C43C2312yes—
588C22⋊Q8×C43C2314yescomplemented
589C22⋊Q8×C43C2314yescomplemented
590C22⋊Q8×C43C2314yescomplemented
591#121×C43C2312yes—
592#121×C43C2312yes—
593#121×C43C2312yes—
594#121×C43C2312yes—
595#121×C43C2312yes—
596#121×C43C2312yes—
597#121×C43C2314yescomplemented
598#120×C43C2314yes—
599C4×Q8×C43C2314yescomplemented
600C4×D4×C43C2314yes—
601C4×D4×C43C2314yes—
602C4×D4×C43C2314yes—
603C4×D4×C43C2314yes—
604C4×D4×C43C2314yes—
605C4×D4×C43C2314yes—
606C4×D4×C43C2314yescomplemented
607#117×C43C2312yes—
608#117×C43C2312yes—
609#117×C43C2312yes—
610#117×C43C2314yescomplemented
611C2×C4⋊C4×C43C2311yescharacteristic
612C2×C4⋊C4×C43C2314yes—
613C2×C4⋊C4×C43C2311yescharacteristic
614C2×C4⋊C4×C43C2311yescharacteristic
615C2×C4⋊C4×C43C2311yescharacteristic
616C2×C4⋊C4×C43C2314yes—
617C2×C4⋊C4×C43C2314yescomplemented
618C24×C43C2411yescharacteristic
619C23×D43—24no—
620C23×D43—42no—
621C23×D43—42no—
622C23×D43—42no—
623C23×D43—42no—
624C23×D43—42no—
625C23×D43C2412yes—
626C23×D43C2412yes—
627C23×D43C2412yes—
628C23×D43C2412yes—
629C23×D43C2412yes—
630C23×D43C2414yes—
631C23×D43C2411yescharacteristic
632C23×D43C2414yes—
633C23×D43C2411yescharacteristic
634#41×C43—44no—
635#41×C43—44no—
636#41×C43—44no—
637C2×Q8×C43C2412yes—
638C2×Q8×C43C2412yes—
639C2×Q8×C43C2412yes—
640C2×D4×C43C2414yes—
641C2×D4×C43C2414yes—
642C2×D4×C43C2414yes—
643C2×D4×C43C2412yes—
644C2×D4×C43C2412yes—
645C2×D4×C43C2412yes—
646C22×C4×C43—42no—
647C22×C4×C43—42no—
648C22×C4×C43—42no—
649C22×C4×C43C2411yescharacteristic
650C22×C4×C43C2412yes—
651C22×C4×C43C2412yes—
652C22×C4×C43C2411yescharacteristic
653C22×C4×C43C2411yescharacteristic
654C22×C4×C43C2411yescharacteristic
655C22×C4×C43C2412yes—
656C22×C4×C43C2412yes—
657C22×C4×C43C2412yes—
658C22×C4×C43C2412yes—
659C22×C4×C43C2411yescharacteristic
660C22×C4×C43C2411yescharacteristic
661C22×C4×C43C2414yes—
662C22×C4×C43C2414yes—
663C22×C4×C43C2414yes—
664C2×C22⋊D43C2414yes—
665C2×C22⋊D43C2414yes—
666C2×C22⋊D43C2414yes—
667C2×C22⋊D43C2414yes—
668C2×C22⋊D43C2414yes—
669C2×C22⋊D43C2414yes—
670C2×C22⋊D43C2414yes—
671C2×C22⋊D43C2414yes—
672C2×C22⋊D43C2414yes—
673C2×C22⋊D43C2414yes—
674C2×C22⋊D43C2414yes—
675C22×Dic43—42no—
676C22×Dic43—42no—
677C22×Dic43C2412yes—
678C22×Dic43C2412yes—
679C22×Dic43C2412yes—
680C22×Dic43C2412yes—
681C22×Dic43C2411yescharacteristic
682C22×Dic43C2412yes—
683C22×Dic43C2411yescharacteristic
684C22×Dic43C2414yes—
685C22×Dic43C2414yes—
686#10621902—44no—
687#10621902—48no—
688Q8×D43—44no—
689#10621900—44no—
690#10621900—48no—
691#10621900—48no—
692D4×D43—216no—
693D4×D43—44no—
694D4×D43—48no—
695D4×D43—48no—
696D4×D43—48no—
697D4×D43—48no—
698D4×D43—48no—
699D4×D43—48no—
700#10621898—48no—
701#10621898—48no—
702#10621898—44no—
703#10621898—44no—
704#10621898—44no—
705C2×D172—28no—
706C2×D172—44no—
707C2×D172—44no—
708C2×D172—48no—
709C2×D172—44no—
710C2×D172—48no—
711C2×D172C2414yes—
712C2×D172C2414yes—
713C2×D172C2414yes—
714C2×D172C2412yes—
715C2×D172C2414yes—
716C2×D172C2414yes—
717C2×D172C2414yes—
718C2×D172C2414yes—
719C2×D172C2414yes—
720C2×D172C2414yes—
721C2×D172C2414yes—
722C2×D172C2412yes—
723C2×D172C2412yes—
724C2×C4×D43—28no—
725C2×C4×D43—44no—
726C2×C4×D43—44no—
727C2×C4×D43—44no—
728C2×C4×D43—44no—
729C2×C4×D43—48no—
730C2×C4×D43—44no—
731C2×C4×D43C2412yes—
732C2×C4×D43C2414yes—
733C2×C4×D43C2412yes—
734C2×C4×D43C2412yes—
735C2×C4×D43C2412yes—
736C2×C4×D43C2414yes—
737C2×C4×D43C2414yes—
738C2×C4×D43C2414yes—
739C2×C4×D43C2414yes—
740C2×C4×D43C2414yes—
741C2×C4×D43C2414yes—
742C2×C4×D43C2414yes—
743C2×C4×D43C2414yes—
744C2×C4×D43C2414yes—
745C2×C4×D43C2414yes—
746C2×C4×D43C2412yes—
747C2×C4×D43C2412yes—
748C2×C4×D43C2412yes—
749C2×C4×D43C2412yes—
750C2×Dic86C2412yes—
751C2×Dic86C2414yes—
752C2×Dic86C2414yes—
753C2×Dic86C2412yes—
754C2×Dic86C2412yes—
755C4⋊C4×C43C2414yes—
756C4⋊C4×C43C2414yes—
757C4⋊C4×C43C2414yes—
758C4⋊C4×C43C2414yes—
759C4⋊C4×C43C2412yes—
760C4⋊C4×C43C2414yes—
761C4⋊C4×C43C2414yes—
762C4⋊C4×C43C2412yes—
763C4⋊C4×C43C2412yes—
764C4⋊C4×C43C2412yes—
765C4⋊C4×C43C2412yes—
766C4⋊C4×C43C2412yes—
767C4⋊C4×C43C2414yes—
768C4⋊C4×C43C2414yes—
769C4⋊C4×C43C2414yes—
770C4⋊C4×C43C2414yes—
771C22⋊C4×C43C2414yes—
772C22⋊C4×C43C2414yes—
773C22⋊C4×C43C2414yes—
774C22⋊C4×C43C2414yes—
775C22⋊C4×C43C2414yes—
776C22⋊C4×C43C2414yes—
777C22⋊C4×C43C2414yes—
778C22⋊C4×C43C2414yes—
779C22⋊C4×C43C2414yes—
780C42×C43C2414yes—
781C42×C43C2414yes—
782C42×C43C2414yes—
783C22⋊Dic43C2414yes—
784C22⋊Dic43C2414yes—
785C22⋊Dic43C2414yes—
786C22⋊Dic43C2414yes—
787C22⋊Dic43C2414yes—
788C22⋊Dic43C2414yes—
789C22⋊Dic43C2414yes—
790(C2×D43)⋊C4C2414yes—
791(C2×D43)⋊C4C2414yes—
792(C2×D43)⋊C4C2414yes—
793(C2×D43)⋊C4C2414yes—
794(C2×D43)⋊C4C2414yes—
795(C2×D43)⋊C4C2414yes—
796(C2×D43)⋊C4C2414yes—
797(C2×D43)⋊C4C2414yes—
798(C2×D43)⋊C4C2414yes—
799(C2×D43)⋊C4C2414yes—
800(C2×D43)⋊C4C2414yes—
801(C2×D43)⋊C4C2414yes—
802(C2×D43)⋊C4C2414yes—
803(C2×D43)⋊C4C2414yes—
804(C2×D43)⋊C4C2414yes—
805(C2×D43)⋊C4C2414yes—
806(C2×D43)⋊C4C2414yes—
807(C2×D43)⋊C4C2414yes—
808(C2×D43)⋊C4C2414yes—
809(C2×D43)⋊C4C2414yes—
810(C2×D43)⋊C4C2414yes—
811(C2×D43)⋊C4C2414yes—
812(C2×D43)⋊C4C2414yes—
813(C2×D43)⋊C4C2414yes—
814(C2×D43)⋊C4C2414yes—
815(C2×D43)⋊C4C2414yes—
816(C2×D43)⋊C4C2414yes—
817(C2×D43)⋊C4C2414yes—
818(C2×D43)⋊C4C2414yes—
819(C2×D43)⋊C4C2414yes—
820(C2×D43)⋊C4C2414yes—
821(C2×D43)⋊C4C2414yes—
822(C2×D43)⋊C4C2414yes—
823(C2×D43)⋊C4C2414yes—
824C4⋊Dic43C2414yes—
825C4⋊Dic43C2412yes—
826C4⋊Dic43C2412yes—
827C4⋊Dic43C2412yes—
828C4⋊Dic43C2414yes—
829C4⋊Dic43C2412yes—
830C4⋊Dic43C2414yes—
831C4⋊Dic43C2414yes—
832C4⋊Dic43C2412yes—
833C4⋊Dic43C2412yes—
834Dic43⋊C4C2414yes—
835Dic43⋊C4C2414yes—
836Dic43⋊C4C2414yes—
837Dic43⋊C4C2414yes—
838Dic43⋊C4C2414yes—
839Dic43⋊C4C2414yes—
840Dic43⋊C4C2414yes—
841Dic43⋊C4C2414yes—
842Dic43⋊C4C2414yes—
843Dic43⋊C4C2414yes—
844Dic43⋊C4C2414yes—
845Dic43⋊C4C2414yes—
846Dic43⋊C4C2414yes—
847Dic43⋊C4C2414yes—
848Dic43⋊C4C2414yes—
849Dic43⋊C4C2414yes—
850Dic43⋊C4C2414yes—
851Dic43⋊C4C2414yes—
852C4×Dic43C2414yes—
853C4×Dic43C2414yes—
854C4×Dic43C2414yes—
855C4×Dic43C2414yes—
856C4×Dic43C2414yes—
857C4×Dic43C2414yes—
858C4×Dic43C2414yes—
859C23×C43—22no—
860C23×C43—22no—
861C23×C43—22no—
862C23×C43C2514yes—
863C23×C43C2511yescharacteristic
864C23×C43C2511yescharacteristic
865C23×C43C2511yescharacteristic
866C22×D43—22no—
867C22×D43—24no—
868C22×D43—24no—
869C22×D43—24no—
870C22×D43—24no—
871C22×D43—24no—
872C22×D43—24no—
873C22×D43—24no—
874C22×D43—28no—
875C22×D43—41no—
876C22×D43—41no—
877C22×D43—42no—
878C22×D43—42no—
879C22×D43—41no—
880C22×D43—41no—
881C22×D43—42no—
882C22×D43—42no—
883C22×D43—44no—
884C22×D43—44no—
885C22×D43—42no—
886C22×D43—42no—
887C22×D43—42no—
888C22×D43—42no—
889C22×D43—44no—
890C22×D43—44no—
891C22×D43—44no—
892C22×D43—416no—
893C22×D43—88no—
894C22×D43H(5,𝔽2)14yes—
895C22×D43C2514yes—
896C22×D43C2512yes—
897C22×D43C2514yes—
898C22×D43C2512yes—
899Q8×C43—42no—
900Q8×C43—42no—
901Q8×C43—42no—
902D4×C43—28no—
903D4×C43—28no—
904D4×C43—28no—
905D4×C43—42no—
906D4×C43—42no—
907D4×C43—42no—
908C2×C4×C43—24no—
909C2×C4×C43—24no—
910C2×C4×C43—22no—
911C2×C4×C43—22no—
912C2×C4×C43—41no—
913C2×C4×C43—42no—
914C2×C4×C43—41no—
915C2×C4×C43—44no—
916C2×C4×C43—41no—
917C2×C4×C43—42no—
918C2×C4×C43—41no—
919C2×C4×C43—44no—
920C2×C4×C43—42no—
921C2×C4×C43—42no—
922C2×C4×C43—44no—
923C2×C4×C43C2512yes—
924C2×C4×C43C2514yes—
925C2×C4×C43C2512yes—
926C2×C4×C43C2512yes—
927C2×C4×C43C2514yes—
928C2×C4×C43C2514yes—
929C2×C4×C43C2512yes—
930C2×C4×C43C2512yes—
931C2×C4×C43C2512yes—
932C22⋊D43—28no—
933C22⋊D43—28no—
934C22⋊D43—28no—
935C22⋊D43—28no—
936C22⋊D43—44no—
937C22⋊D43—44no—
938C22⋊D43—44no—
939C22⋊D43—44no—
940C22⋊D43—44no—
941C22⋊D43—44no—
942C22⋊D43—44no—
943C2×Dic43—24no—
944C2×Dic43—24no—
945C2×Dic43—41no—
946C2×Dic43—42no—
947C2×Dic43—41no—
948C2×Dic43—44no—
949C2×Dic43—44no—
950C2×Dic43—42no—
951C2×Dic43—42no—
952C2×Dic43C2514yes—
953C2×Dic43C2512yes—
954C2×Dic43C2514yes—
955C2×Dic43C2514yes—
956C2×Dic43C2514yes—
957C2×Dic43C2512yes—
958D172—28no—
959D172—28no—
960D172—28no—
961D172—44no—
962D172—44no—
963D172—42no—
964D172—44no—
965D172—42no—
966D172—42no—
967D172—44no—
968D172—44no—
969D172—44no—
970D172—44no—
971C4×D43—24no—
972C4×D43—24no—
973C4×D43—24no—
974C4×D43—24no—
975C4×D43—28no—
976C4×D43—42no—
977C4×D43—42no—
978C4×D43—42no—
979C4×D43—42no—
980C4×D43—44no—
981C4×D43—44no—
982C4×D43—44no—
983C4×D43—44no—
984C4×D43—44no—
985C4×D43—44no—
986C4×D43—44no—
987C4×D43—44no—
988C4×D43—44no—
989C4×D43—44no—
990Dic86—42no—
991Dic86—42no—
992Dic86—42no—
993Dic86—44no—
994Dic86—44no—
995#62820—431nomaximal, Sylow
996C22×C43—28no—
997C22×C43—21no—
998C22×C43—21no—
999C22×C43—21no—
1000C22×C43—21no—
1001C22×C43—21no—
1002C22×C43—21no—
1003C22×C43—24no—
1004C22×C43—24no—
1005C22×C43—24no—
1006C22×C43C2×H(5,𝔽2)12yes—
1007C22×C43#58512yes—
1008C22×C43#58512yes—
1009C22×C43C2611yescharacteristic
1010C2×D43—22no—
1011C2×D43—22no—
1012C2×D43—22no—
1013C2×D43—24no—
1014C2×D43—24no—
1015C2×D43—24no—
1016C2×D43—24no—
1017C2×D43—22no—
1018C2×D43—22no—
1019C2×D43—24no—
1020C2×D43—24no—
1021C2×D43—44no—
1022C2×D43—48no—
1023C2×D43—48no—
1024C2×D43—44no—
1025C2×D43—88no—
1026C2×D43—84no—
1027C2×D43—84no—
1028C2×D43—84no—
1029C2×D43—164no—
1030C2×D43C2×H(5,𝔽2)14yes—
1031C4×C43—22no—
1032C4×C43—24no—
1033C4×C43—22no—
1034C4×C43—22no—
1035C4×C43—22no—
1036C4×C43—24no—
1037C4×C43—22no—
1038C4×C43—24no—
1039C4×C43—22no—
1040Dic43—24no—
1041Dic43—22no—
1042Dic43—22no—
1043Dic43—24no—
1044Dic43—24no—
1045Dic43—24no—
1046#3535—434no—
1047#3535—432no—
1048#3535—432no—
1049#3534—434no—
1050#3534—432no—
1051#3534—432no—
1052#3533—434no—
1053#3533—434no—
1054#3513—434no—
1055#3513—434no—
1056#3513—434no—
1057#3513—434no—
1058#3492—432no—
1059#3492—431no—
1060#3492D4311yescharacteristic, complemented
1061#3491—434no—
1062#3490—432no—
1063#3490—432no—
1064#3490—432no—
1065#3485—434no—
1066#3484—432no—
1067C2×#525—432no—
1068C22×#123—431no—
1069C2×C43—22no—
1070C2×C43—22no—
1071C2×C43—22no—
1072C2×C43—44no—
1073C2×C43C22×H(5,𝔽2)11yescharacteristic
1074C2×C43C2×#58511yescharacteristic
1075C2×C43C2×#58511yescharacteristic
1076D43—24no—
1077D43—42no—
1078D43—44no—
1079D43—44no—
1080C2×H(5,𝔽2)—432no—
1081C22×#41—432no—
1082C23×D4—431no—
1083C24×C4—431no—
1084#563—434no—
1085#563—434no—
1086#562—434no—
1087#562—434no—
1088#562—434no—
1089#562—434no—
1090#560—434no—
1091#560—434no—
1092#559—434no—
1093#559—434no—
1094#554—434no—
1095#554—434no—
1096#554—434no—
1097#554C2×D4314yescomplemented
1098#553—434no—
1099#553—434no—
1100#553—434no—
1101#553—434no—
1102#553—434no—
1103#553—434no—
1104#553—434no—
1105#553C2×D4314yescomplemented
1106#552—434no—
1107#552—434no—
1108#552—434no—
1109#552—434no—
1110#552—434no—
1111#552—434no—
1112#552—434no—
1113#552C2×D4314yescomplemented
1114#551—434no—
1115#551—434no—
1116#551—434no—
1117#551—434no—
1118#551—434no—
1119#551—434no—
1120#551—434no—
1121#551—434no—
1122#551—434no—
1123#551—434no—
1124#551—434no—
1125#551—434no—
1126#551—434no—
1127#551—434no—
1128#551—434no—
1129#551—434no—
1130#551—434no—
1131#551—434no—
1132#547—434no—
1133#547—434no—
1134#547—434no—
1135#547—434no—
1136#547—434no—
1137#547—434no—
1138#547—434no—
1139#547C2×D4314yescomplemented
1140#546—434no—
1141#546—434no—
1142#546—434no—
1143#546—434no—
1144#546—434no—
1145#546—434no—
1146#546—434no—
1147#546—434no—
1148#546—434no—
1149#546—434no—
1150#546—434no—
1151#546—434no—
1152#546—434no—
1153#546—434no—
1154#546—434no—
1155#546—434no—
1156#546—434no—
1157#546—434no—
1158#546—434no—
1159#546—434no—
1160D42—434no—
1161D42—434no—
1162D42—434no—
1163D42—434no—
1164#544—432no—
1165#544—431no—
1166#544C2×D4311yescharacteristic, complemented
1167#543—432no—
1168#543—432no—
1169#543—432no—
1170#542—434no—
1171#542—434no—
1172#542—434no—
1173#542—434no—
1174#540—434no—
1175#540—434no—
1176#540—434no—
1177#540—434no—
1178#539—434no—
1179#539—434no—
1180#539—434no—
1181#539—434no—
1182#539—434no—
1183#539—432no—
1184#539—434no—
1185#539—434no—
1186#539—432no—
1187#539—434no—
1188#539—432no—
1189#539—432no—
1190#539—434no—
1191#539C2×D4312yescomplemented
1192#539C2×D4312yescomplemented
1193#538—434no—
1194#538—434no—
1195#538—432no—
1196#538—432no—
1197#538—432no—
1198#538—434no—
1199#538—432no—
1200#538—432no—
1201#538—432no—
1202#538—434no—
1203#538—434no—
1204#538—434no—
1205#538—434no—
1206#537—432no—
1207#537—431no—
1208#537C2×D4311yescharacteristic, complemented
1209#536—434no—
1210#536—434no—
1211#535—432no—
1212#535—432no—
1213#534—434no—
1214#534—434no—
1215#534—434no—
1216#534—432no—
1217#534—432no—
1218#534—432no—
1219#534—434no—
1220#529—434no—
1221#529—434no—
1222#529—434no—
1223#529—434no—
1224#525—432no—
1225#525—432no—
1226#525—432no—
1227#525—432no—
1228#525—434no—
1229#525—432no—
1230#525—432no—
1231#525—434no—
1232#525—432no—
1233#525—432no—
1234#525—434no—
1235#525—434no—
1236#525—434no—
1237#525—434no—
1238#525—434no—
1239#525—432no—
1240#525C2×D4312yescomplemented
1241#525C2×D4312yescomplemented
1242#525C2×D4312yescomplemented
1243C2×#123—434no—
1244C2×#123—434no—
1245C2×#123—434no—
1246C2×#123—434no—
1247C2×#123—432no—
1248C2×#123—432no—
1249C2×#123—434no—
1250C2×#123—434no—
1251C2×#123—432no—
1252C2×#123—432no—
1253C2×#123—434no—
1254C2×C22⋊Q8—432no—
1255C2×C22⋊Q8—432no—
1256C2×#121—432no—
1257C2×#121—432no—
1258C2×#120—434no—
1259C2×#120—434no—
1260#520—434no—
1261#520—432no—
1262#520C2×D4312yescomplemented
1263#518—434no—
1264#518—434no—
1265#518—434no—
1266#518—432no—
1267C2×C4×D4—434no—
1268C2×C4×D4—434no—
1269C2×#117—432no—
1270C22×C4⋊C4—431no—
1271C22×C4⋊C4C2×D4311yescharacteristic, complemented
1272C22×C22⋊C4—431no—
1273C22×C22⋊C4—431no—
1274C22×C22⋊C4—431no—
1275C43#6282011yescharacteristic, complemented, Sylow
1276C25—431no—
1277C25—431no—
1278H(5,𝔽2)—1728no—
1279C2×#41—432no—
1280C2×#41—434no—
1281C2×#41—434no—
1282C2×#41—434no—
1283C2×#41—432no—
1284C2×#41—432no—
1285C2×#41—432no—
1286C2×#41—434no—
1287C2×#41—432no—
1288C2×#41—434no—
1289C2×#41—1728no—
1290C2×#41C22×D4312yes—
1291C2×#41C22×D4312yes—
1292C2×#41C22×D4312yes—
1293C22×Q8—432no—
1294C22×D4—434no—
1295C22×D4—434no—
1296C22×D4—434no—
1297C22×D4—434no—
1298C22×D4—434no—
1299C22×D4—434no—
1300C22×D4—432no—
1301C22×D4—434no—
1302C22×D4—432no—
1303C22×D4—432no—
1304C22×D4—432no—
1305C22×D4—434no—
1306C22×D4—432no—
1307C22×D4—434no—
1308C22×D4—1724no—
1309C23×C4—431no—
1310C23×C4—431no—
1311C23×C4—432no—
1312C23×C4—432no—
1313C23×C4—432no—
1314C23×C4—434no—
1315C23×C4—432no—
1316C23×C4—432no—
1317C23×C4—432no—
1318C23×C4—1724no—
1319C23×C4C22×D4311yescharacteristic
1320C23×C4C22×D4311yescharacteristic
1321C23×C4C22×D4311yescharacteristic
1322C4⋊Q8—434no—
1323C4⋊Q8—434no—
1324C4⋊Q8—434no—
1325C4⋊Q8C22×D4314yescomplemented
1326#127—434no—
1327#127—434no—
1328#126—434no—
1329#126—434no—
1330#126—434no—
1331#126—434no—
1332#126—434no—
1333#126—434no—
1334#126—434no—
1335#126—434no—
1336#126—434no—
1337#126—434no—
1338#126—434no—
1339#126—434no—
1340#126—434no—
1341#126—434no—
1342#126—434no—
1343#126—434no—
1344#126—434no—
1345#126—434no—
1346#126C22×D4314yescomplemented
1347#126C22×D4314yescomplemented
1348#125—434no—
1349#125—434no—
1350#125—434no—
1351#125—434no—
1352#125—434no—
1353#125—434no—
1354#125—434no—
1355#125—434no—
1356#125—434no—
1357#125C22×D4314yescomplemented
1358#125C22×D4314yescomplemented
1359#125C22×D4314yescomplemented
1360#124—434no—
1361#124—434no—
1362#124—434no—
1363#124—434no—
1364#124—434no—
1365#124—434no—
1366#124—434no—
1367#124—434no—
1368#124—434no—
1369#124—434no—
1370#124—434no—
1371#124—434no—
1372#124—434no—
1373#124—434no—
1374#123—434no—
1375#123—434no—
1376#123—434no—
1377#123—434no—
1378#123—434no—
1379#123—434no—
1380#123—434no—
1381#123—434no—
1382#123—434no—
1383#123—434no—
1384#123—434no—
1385#123—434no—
1386#123—434no—
1387#123—434no—
1388#123—434no—
1389#123—434no—
1390#123—434no—
1391#123—434no—
1392#123—434no—
1393#123—434no—
1394#123—434no—
1395#123—434no—
1396#123—434no—
1397#123—434no—
1398#123—434no—
1399#123—434no—
1400#123—434no—
1401#123—434no—
1402#123—434no—
1403#123—434no—
1404#123—434no—
1405#123—434no—
1406#123—434no—
1407#123—434no—
1408#123—434no—
1409#123—434no—
1410#123—434no—
1411#123—434no—
1412#123—434no—
1413#123—434no—
1414#123—434no—
1415#123—434no—
1416#123—434no—
1417#123—434no—
1418#123—434no—
1419#123—434no—
1420#123—434no—
1421#123—434no—
1422#123—434no—
1423#123—434no—
1424#123—434no—
1425#123—434no—
1426#123—434no—
1427#123—434no—
1428#123—434no—
1429#123C22×D4314yes—
1430#123C22×D4314yes—
1431#123C22×D4314yes—
1432#123C22×D4314yescomplemented
1433#123C22×D4314yescomplemented
1434C22⋊Q8—432no—
1435C22⋊Q8—432no—
1436C22⋊Q8—434no—
1437C22⋊Q8—434no—
1438C22⋊Q8—434no—
1439C22⋊Q8—434no—
1440C22⋊Q8—432no—
1441C22⋊Q8—432no—
1442C22⋊Q8—432no—
1443C22⋊Q8—432no—
1444C22⋊Q8—432no—
1445C22⋊Q8—432no—
1446C22⋊Q8—434no—
1447C22⋊Q8—434no—
1448C22⋊Q8—432no—
1449C22⋊Q8—434no—
1450C22⋊Q8—432no—
1451C22⋊Q8—434no—
1452C22⋊Q8—434no—
1453C22⋊Q8—434no—
1454C22⋊Q8—434no—
1455C22⋊Q8—434no—
1456C22⋊Q8—434no—
1457C22⋊Q8—434no—
1458C22⋊Q8—434no—
1459C22⋊Q8—434no—
1460C22⋊Q8—434no—
1461C22⋊Q8—434no—
1462C22⋊Q8—434no—
1463C22⋊Q8—434no—
1464C22⋊Q8—434no—
1465C22⋊Q8—434no—
1466C22⋊Q8—434no—
1467C22⋊Q8—434no—
1468C22⋊Q8—434no—
1469C22⋊Q8—434no—
1470C22⋊Q8—434no—
1471C22⋊Q8C22×D4312yes—
1472C22⋊Q8C22×D4312yes—
1473C22⋊Q8C22×D4312yes—
1474C22⋊Q8C22×D4312yes—
1475C22⋊Q8C22×D4312yes—
1476C22⋊Q8C22×D4312yes—
1477C22⋊Q8C22×D4314yescomplemented
1478C22⋊Q8C22×D4314yescomplemented
1479C22⋊Q8C22×D4314yescomplemented
1480#121—434no—
1481#121—432no—
1482#121—434no—
1483#121—432no—
1484#121—434no—
1485#121—434no—
1486#121—434no—
1487#121—434no—
1488#121—434no—
1489#121—434no—
1490#121—432no—
1491#121—432no—
1492#121—432no—
1493#121—432no—
1494#121—432no—
1495#121—432no—
1496#121—434no—
1497#121—434no—
1498#121—434no—
1499#121—434no—
1500#121—434no—
1501#121—432no—
1502#121—432no—
1503#121—434no—
1504#121—434no—
1505#121—434no—
1506#121—434no—
1507#121—434no—
1508#121—434no—
1509#121—434no—
1510#121—434no—
1511#121—434no—
1512#121—434no—
1513#121—434no—
1514#121—434no—
1515#121—434no—
1516#121—434no—
1517#121—434no—
1518#121—434no—
1519#121—434no—
1520#121—434no—
1521#121—434no—
1522#121—434no—
1523#121C22×D4312yes—
1524#121C22×D4312yes—
1525#121C22×D4312yes—
1526#121C22×D4312yes—
1527#121C22×D4312yes—
1528#121C22×D4312yes—
1529#121C22×D4314yescomplemented
1530#120—434no—
1531#120—434no—
1532#120—434no—
1533#120—434no—
1534#120—434no—
1535#120—434no—
1536#120—434no—
1537#120—434no—
1538#120—434no—
1539#120—434no—
1540#120—434no—
1541#120—434no—
1542#120—434no—
1543#120—434no—
1544#120—434no—
1545#120—434no—
1546#120—434no—
1547#120—434no—
1548#120—434no—
1549#120—434no—
1550#120—434no—
1551#120—434no—
1552#120—434no—
1553#120C22×D4314yes—
1554C4×Q8—434no—
1555C4×Q8—434no—
1556C4×Q8—434no—
1557C4×Q8C22×D4314yescomplemented
1558C4×D4—434no—
1559C4×D4—434no—
1560C4×D4—434no—
1561C4×D4—434no—
1562C4×D4—434no—
1563C4×D4—434no—
1564C4×D4—434no—
1565C4×D4—434no—
1566C4×D4—434no—
1567C4×D4—434no—
1568C4×D4—434no—
1569C4×D4—434no—
1570C4×D4—434no—
1571C4×D4—434no—
1572C4×D4—434no—
1573C4×D4—434no—
1574C4×D4—434no—
1575C4×D4—434no—
1576C4×D4—434no—
1577C4×D4—434no—
1578C4×D4—434no—
1579C4×D4—434no—
1580C4×D4—434no—
1581C4×D4—434no—
1582C4×D4—434no—
1583C4×D4—434no—
1584C4×D4—434no—
1585C4×D4—434no—
1586C4×D4—434no—
1587C4×D4—434no—
1588C4×D4—434no—
1589C4×D4—434no—
1590C4×D4—434no—
1591C4×D4—434no—
1592C4×D4—434no—
1593C4×D4—434no—
1594C4×D4—434no—
1595C4×D4—434no—
1596C4×D4—434no—
1597C4×D4—434no—
1598C4×D4—434no—
1599C4×D4C22×D4314yes—
1600C4×D4C22×D4314yes—
1601C4×D4C22×D4314yes—
1602C4×D4C22×D4314yes—
1603C4×D4C22×D4314yes—
1604C4×D4C22×D4314yes—
1605C4×D4C22×D4314yescomplemented
1606#117—432no—
1607#117—432no—
1608#117—432no—
1609#117—432no—
1610#117—432no—
1611#117—434no—
1612#117—434no—
1613#117—434no—
1614#117—434no—
1615#117—434no—
1616#117—434no—
1617#117—434no—
1618#117—434no—
1619#117—434no—
1620#117—434no—
1621#117—434no—
1622#117—434no—
1623#117C22×D4312yes—
1624#117C22×D4312yes—
1625#117C22×D4312yes—
1626#117C22×D4314yescomplemented
1627C2×C4⋊C4—432no—
1628C2×C4⋊C4—432no—
1629C2×C4⋊C4—434no—
1630C2×C4⋊C4—432no—
1631C2×C4⋊C4—432no—
1632C2×C4⋊C4—434no—
1633C2×C4⋊C4—432no—
1634C2×C4⋊C4—432no—
1635C2×C4⋊C4—434no—
1636C2×C4⋊C4—434no—
1637C2×C4⋊C4—434no—
1638C2×C4⋊C4—434no—
1639C2×C4⋊C4C22×D4311yescharacteristic
1640C2×C4⋊C4C22×D4311yescharacteristic
1641C2×C4⋊C4C22×D4311yescharacteristic
1642C2×C4⋊C4C22×D4311yescharacteristic
1643C2×C4⋊C4C22×D4314yes—
1644C2×C4⋊C4C22×D4314yes—
1645C2×C4⋊C4C22×D4314yescomplemented
1646C2×C22⋊C4—432no—
1647C2×C22⋊C4—432no—
1648C2×C22⋊C4—432no—
1649C2×C22⋊C4—432no—
1650C2×C22⋊C4—432no—
1651C2×C22⋊C4—432no—
1652C2×C22⋊C4—434no—
1653C2×C22⋊C4—432no—
1654C2×C22⋊C4—432no—
1655C2×C22⋊C4—434no—
1656C2×C22⋊C4—434no—
1657C2×C22⋊C4—434no—
1658C2×C22⋊C4—432no—
1659C2×C22⋊C4—432no—
1660C2×C22⋊C4—434no—
1661C2×C22⋊C4—434no—
1662C2×C22⋊C4—434no—
1663C2×C22⋊C4—434no—
1664C2×C22⋊C4—434no—
1665C2×C22⋊C4—434no—
1666C2×C22⋊C4—434no—
1667C2×C22⋊C4—434no—
1668C2×C22⋊C4—434no—
1669C2×C22⋊C4—434no—
1670C2×C22⋊C4—434no—
1671C2×C22⋊C4—434no—
1672C2×C22⋊C4—434no—
1673C2×C22⋊C4—434no—
1674C2×C42—434no—
1675C24—431no—
1676C24—432no—
1677C24—432no—
1678C24—432no—
1679C24—432no—
1680C24—432no—
1681C24—434no—
1682C24—431no—
1683C24—434no—
1684C24—864no—
1685C24—1722no—
1686C24—1722no—
1687C24—1722no—
1688C24—1722no—
1689C24—1722no—
1690C24C23×D4311yescharacteristic
1691#41—44no—
1692#41—44no—
1693#41—44no—
1694#41—1724no—
1695#41—1724no—
1696#41—1724no—
1697#41—1728no—
1698#41—1728no—
1699#41—1728no—
1700#41—1728no—
1701#41—1724no—
1702#41—1724no—
1703#41—1728no—
1704C2×Q8—432no—
1705C2×Q8—434no—
1706C2×Q8—432no—
1707C2×Q8—434no—
1708C2×Q8—432no—
1709C2×Q8—1724no—
1710C2×Q8C23×D4312yes—
1711C2×Q8C23×D4312yes—
1712C2×Q8C23×D4312yes—
1713C2×D4—434no—
1714C2×D4—434no—
1715C2×D4—434no—
1716C2×D4—434no—
1717C2×D4—434no—
1718C2×D4—434no—
1719C2×D4—434no—
1720C2×D4—434no—
1721C2×D4—434no—
1722C2×D4—434no—
1723C2×D4—434no—
1724C2×D4—434no—
1725C2×D4—434no—
1726C2×D4—434no—
1727C2×D4—432no—
1728C2×D4—434no—
1729C2×D4—434no—
1730C2×D4—434no—
1731C2×D4—434no—
1732C2×D4—432no—
1733C2×D4—434no—
1734C2×D4—434no—
1735C2×D4—434no—
1736C2×D4—432no—
1737C2×D4—868no—
1738C2×D4—8616no—
1739C2×D4—1724no—
1740C2×D4—1724no—
1741C2×D4—1728no—
1742C2×D4—1724no—
1743C2×D4—1728no—
1744C2×D4—1724no—
1745C2×D4—1728no—
1746C2×D4—1728no—
1747C2×D4—1728no—
1748C2×D4—1728no—
1749C2×D4—1728no—
1750C2×D4—1728no—
1751C2×D4C23×D4314yes—
1752C2×D4C23×D4314yes—
1753C2×D4C23×D4314yes—
1754C2×D4C23×D4312yes—
1755C2×D4C23×D4312yes—
1756C2×D4C23×D4312yes—
1757C22×C4—42no—
1758C22×C4—42no—
1759C22×C4—42no—
1760C22×C4—432no—
1761C22×C4—432no—
1762C22×C4—432no—
1763C22×C4—432no—
1764C22×C4—431no—
1765C22×C4—432no—
1766C22×C4—431no—
1767C22×C4—434no—
1768C22×C4—434no—
1769C22×C4—432no—
1770C22×C4—432no—
1771C22×C4—432no—
1772C22×C4—434no—
1773C22×C4—432no—
1774C22×C4—434no—
1775C22×C4—434no—
1776C22×C4—434no—
1777C22×C4—434no—
1778C22×C4—434no—
1779C22×C4—434no—
1780C22×C4—434no—
1781C22×C4—434no—
1782C22×C4—434no—
1783C22×C4—434no—
1784C22×C4—432no—
1785C22×C4—432no—
1786C22×C4—432no—
1787C22×C4—432no—
1788C22×C4—868no—
1789C22×C4—1724no—
1790C22×C4—1724no—
1791C22×C4—1724no—
1792C22×C4—1724no—
1793C22×C4—1724no—
1794C22×C4—1728no—
1795C22×C4—1722no—
1796C22×C4—1722no—
1797C22×C4C23×D4311yescharacteristic
1798C22×C4C23×D4311yescharacteristic
1799C22×C4C23×D4312yes—
1800C22×C4C23×D4312yes—
1801C22×C4C23×D4312yes—
1802C22×C4C23×D4312yes—
1803C22×C4C23×D4311yescharacteristic
1804C22×C4C23×D4312yes—
1805C22×C4C23×D4311yescharacteristic
1806C22×C4C23×D4314yes—
1807C22×C4C23×D4314yes—
1808C22×C4C23×D4311yescharacteristic
1809C22×C4C23×D4312yes—
1810C22×C4C23×D4311yescharacteristic
1811C22×C4C23×D4314yes—
1812C4⋊C4—434no—
1813C4⋊C4—434no—
1814C4⋊C4—434no—
1815C4⋊C4—434no—
1816C4⋊C4—434no—
1817C4⋊C4—434no—
1818C4⋊C4—434no—
1819C4⋊C4—434no—
1820C4⋊C4—432no—
1821C4⋊C4—434no—
1822C4⋊C4—434no—
1823C4⋊C4—432no—
1824C4⋊C4—432no—
1825C4⋊C4—434no—
1826C4⋊C4—434no—
1827C4⋊C4—434no—
1828C4⋊C4—434no—
1829C4⋊C4—434no—
1830C4⋊C4—434no—
1831C4⋊C4—432no—
1832C4⋊C4—432no—
1833C4⋊C4—432no—
1834C4⋊C4—434no—
1835C4⋊C4—434no—
1836C4⋊C4—434no—
1837C4⋊C4—434no—
1838C4⋊C4—434no—
1839C4⋊C4—434no—
1840C4⋊C4C23×D4314yes—
1841C4⋊C4C23×D4314yes—
1842C4⋊C4C23×D4312yes—
1843C4⋊C4C23×D4312yes—
1844C4⋊C4C23×D4314yes—
1845C4⋊C4C23×D4314yes—
1846C4⋊C4C23×D4314yes—
1847C4⋊C4C23×D4314yes—
1848C4⋊C4C23×D4314yes—
1849C4⋊C4C23×D4312yes—
1850C4⋊C4C23×D4314yes—
1851C4⋊C4C23×D4314yes—
1852C4⋊C4C23×D4314yes—
1853C4⋊C4C23×D4312yes—
1854C4⋊C4C23×D4312yes—
1855C4⋊C4C23×D4312yes—
1856C22⋊C4—434no—
1857C22⋊C4—434no—
1858C22⋊C4—434no—
1859C22⋊C4—434no—
1860C22⋊C4—434no—
1861C22⋊C4—434no—
1862C22⋊C4—434no—
1863C22⋊C4—434no—
1864C22⋊C4—434no—
1865C22⋊C4—434no—
1866C22⋊C4—434no—
1867C22⋊C4—434no—
1868C22⋊C4—434no—
1869C22⋊C4—434no—
1870C22⋊C4—434no—
1871C22⋊C4—434no—
1872C22⋊C4—434no—
1873C22⋊C4—434no—
1874C22⋊C4—434no—
1875C22⋊C4—434no—
1876C22⋊C4—434no—
1877C22⋊C4—434no—
1878C22⋊C4—434no—
1879C22⋊C4—434no—
1880C22⋊C4—434no—
1881C22⋊C4—434no—
1882C22⋊C4—434no—
1883C22⋊C4—434no—
1884C22⋊C4—434no—
1885C22⋊C4—434no—
1886C22⋊C4—434no—
1887C22⋊C4—434no—
1888C22⋊C4—434no—
1889C22⋊C4—434no—
1890C22⋊C4—434no—
1891C22⋊C4—434no—
1892C22⋊C4—434no—
1893C22⋊C4—434no—
1894C22⋊C4—434no—
1895C22⋊C4—434no—
1896C22⋊C4—434no—
1897C22⋊C4C23×D4314yes—
1898C22⋊C4C23×D4314yes—
1899C22⋊C4C23×D4314yes—
1900C22⋊C4C23×D4314yes—
1901C22⋊C4C23×D4314yes—
1902C22⋊C4C23×D4314yes—
1903C22⋊C4C23×D4314yes—
1904C22⋊C4C23×D4314yes—
1905C22⋊C4C23×D4314yes—
1906C42—434no—
1907C42—434no—
1908C42—434no—
1909C42—434no—
1910C42—434no—
1911C42—434no—
1912C42—434no—
1913C42C23×D4314yes—
1914C42C23×D4314yes—
1915C42C23×D4314yes—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—432no—
1920C23—434no—
1921C23—434no—
1922C23—432no—
1923C23—434no—
1924C23—868no—
1925C23—864no—
1926C23—864no—
1927C23—864no—
1928C23—864no—
1929C23—864no—
1930C23—862no—
1931C23—864no—
1932C23—864no—
1933C23—3448no—
1934C23—1722no—
1935C23—1722no—
1936C23—1724no—
1937C23—1724no—
1938C23—1722no—
1939C23—1722no—
1940C23—1722no—
1941C23—1722no—
1942C23—1721no—
1943C23—1722no—
1944C23—1721no—
1945C23—1721no—
1946C23—1722no—
1947C23—1721no—
1948C23—1724no—
1949C23—1724no—
1950C23—1724no—
1951C23—17216no—
1952C23C24×D4314yes—
1953C23C24×D4311yescharacteristic
1954C23C24×D4311yescharacteristic
1955C23C24×D4311yescharacteristic
1956Q8—42no—
1957Q8—42no—
1958Q8—42no—
1959Q8—1722no—
1960Q8—1724no—
1961Q8—1722no—
1962Q8—1722no—
1963Q8—1724no—
1964D4—28no—
1965D4—28no—
1966D4—28no—
1967D4—42no—
1968D4—42no—
1969D4—42no—
1970D4—868no—
1971D4—868no—
1972D4—868no—
1973D4—868no—
1974D4—868no—
1975D4—868no—
1976D4—868no—
1977D4—1724no—
1978D4—1724no—
1979D4—1722no—
1980D4—1724no—
1981D4—1722no—
1982D4—1724no—
1983D4—1724no—
1984D4—1724no—
1985D4—1724no—
1986D4—1722no—
1987D4—1724no—
1988D4—1724no—
1989D4—1724no—
1990D4—1724no—
1991D4—1724no—
1992D4—1724no—
1993D4—1724no—
1994C2×C4—24no—
1995C2×C4—24no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—41no—
1999C2×C4—42no—
2000C2×C4—41no—
2001C2×C4—41no—
2002C2×C4—42no—
2003C2×C4—41no—
2004C2×C4—42no—
2005C2×C4—42no—
2006C2×C4—44no—
2007C2×C4—44no—
2008C2×C4—44no—
2009C2×C4—434no—
2010C2×C4—434no—
2011C2×C4—432no—
2012C2×C4—434no—
2013C2×C4—434no—
2014C2×C4—432no—
2015C2×C4—864no—
2016C2×C4—864no—
2017C2×C4—864no—
2018C2×C4—864no—
2019C2×C4—868no—
2020C2×C4—864no—
2021C2×C4—864no—
2022C2×C4—1722no—
2023C2×C4—1722no—
2024C2×C4—1722no—
2025C2×C4—1722no—
2026C2×C4—1724no—
2027C2×C4—1724no—
2028C2×C4—1724no—
2029C2×C4—1724no—
2030C2×C4—1724no—
2031C2×C4—1724no—
2032C2×C4—1724no—
2033C2×C4—1724no—
2034C2×C4—1724no—
2035C2×C4—1724no—
2036C2×C4—1721no—
2037C2×C4—1722no—
2038C2×C4—1721no—
2039C2×C4—1724no—
2040C2×C4—1722no—
2041C2×C4—1722no—
2042C2×C4—1724no—
2043C2×C4C24×D4314yes—
2044C2×C4C24×D4312yes—
2045C2×C4C24×D4312yes—
2046C2×C4C24×D4312yes—
2047C2×C4C24×D4314yes—
2048C2×C4C24×D4314yes—
2049C2×C4C24×D4312yes—
2050C2×C4C24×D4312yes—
2051C2×C4C24×D4312yes—
2052C22—28no—
2053C22—21no—
2054C22—21no—
2055C22—21no—
2056C22—21no—
2057C22—21no—
2058C22—21no—
2059C22—24no—
2060C22—24no—
2061C22—24no—
2062C22—434no—
2063C22—862no—
2064C22—862no—
2065C22—862no—
2066C22—864no—
2067C22—864no—
2068C22—864no—
2069C22—864no—
2070C22—862no—
2071C22—864no—
2072C22—864no—
2073C22—862no—
2074C22—3444no—
2075C22—3444no—
2076C22—3444no—
2077C22—3448no—
2078C22—1724no—
2079C22—1728no—
2080C22—1728no—
2081C22—1724no—
2082C22—6884no—
2083C22H(5,𝔽2)×D4312yes—
2084C22#1458373512yes—
2085C22#1458373612yes—
2086C22C25×D4311yescharacteristic
2087C4—22no—
2088C4—22no—
2089C4—22no—
2090C4—22no—
2091C4—24no—
2092C4—22no—
2093C4—22no—
2094C4—24no—
2095C4—24no—
2096C4—862no—
2097C4—862no—
2098C4—864no—
2099C4—864no—
2100C4—864no—
2101C4—864no—
2102C2—22no—
2103C2—22no—
2104C2—22no—
2105C2—44no—
2106C2—864no—
2107C2—1724no—
2108C2—1724no—
2109C2—1722no—
2110C2C2×H(5,𝔽2)×D4311yescharacteristic
2111C2C2×#1458373511yescharacteristic
2112C2C2×#1458373611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3492C2
hypercenter#3492D43
hypocenterC43#62820
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3492

Complements

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

NH ≅ G/Ntype
1. #19148805C2semidirect
2. #19148801C2semidirect
3. #19148799C2semidirect
4. #19148790C2semidirect
5. #19148774C2semidirect
6. #19148772C2semidirect
7. #19148765C2semidirect
8. #19148761C2semidirect
9. #19148538C2semidirect
10. #19148537C2semidirect
11. #19148526C2semidirect
12. #19148525C2semidirect
13. #19148304C2semidirect
14. #19148296C2semidirect
15. #19148290C2semidirect
16. #19148278C2semidirect
17. #19148278C2semidirect
18. #19148278C2semidirect
19. #19148234C2semidirect
20. #19148228C2semidirect
21. #525×D43C2semidirect
22. C22×#13063310C2semidirect
23. C43×#3492C2semidirect
24. C2×#13063371C22semidirect
25. C2×#41×D43C22semidirect
27. C23×C4×D43C22semidirect
28. #14583653C22semidirect
29. #14583648C22semidirect
30. #14583647C22semidirect
31. #14583646C22semidirect
32. #14583645C22semidirect
33. #14583645C22semidirect
34. #14583640C22semidirect
35. #14583637C22semidirect
36. #14583634C22semidirect
37. #14583633C22semidirect
38. #14583608C22semidirect
39. #14583604C22semidirect
40. #14583603C22semidirect
41. #14583602C22semidirect
42. #14583600C22semidirect
43. #14583598C22semidirect
44. #14583598C22semidirect
45. #14583597C22semidirect
46. #14583597C22semidirect
47. #14583592C22semidirect
48. #14583590C22semidirect
49. #14583587C22semidirect
50. #14583586C22semidirect
51. #14583584C22semidirect
52. #14583582C22semidirect
53. #14583581C22semidirect
54. #14583581C22semidirect
55. #14583578C22semidirect
56. #14583578C22semidirect
57. #14583578C22semidirect
58. #14583576C22semidirect
59. #14583576C22semidirect
60. #14583576C22semidirect
61. #14583576C22semidirect
62. #14583576C22semidirect
63. #14583574C22semidirect
64. #14583574C22semidirect
65. #14583573C22semidirect
66. #14583573C22semidirect
67. #14583573C22semidirect
68. #14583573C22semidirect
69. #14583573C22semidirect
70. #14583572C22semidirect
71. #14583572C22semidirect
72. #14583572C22semidirect
73. #14583552C22semidirect
74. #14583551C22semidirect
75. #14583550C22semidirect
76. #14583550C22semidirect
77. #14583548C22semidirect
78. #14583547C22semidirect
79. #14583547C22semidirect
80. #14583545C22semidirect
81. #14583545C22semidirect
82. #14583545C22semidirect
83. #14583544C22semidirect
84. #14583544C22semidirect
85. #14583544C22semidirect
86. #14583541C22semidirect
87. #14583541C22semidirect
88. #14583541C22semidirect
89. #14583541C22semidirect
90. #14583540C22semidirect
91. #14583540C22semidirect
92. #14583540C22semidirect
93. #14583538C22semidirect
94. #14583538C22semidirect
95. #14583538C22semidirect
96. #14583538C22semidirect
97. #14583537C22semidirect
98. #14583537C22semidirect
99. #14583537C22semidirect
100. D4×D172C22semidirect
101. D4×D172C22semidirect
102. #14583533C22semidirect
103. #14583533C22semidirect
104. #14583530C22semidirect
105. #14583528C22semidirect
106. #14583524C22semidirect
107. #14583524C22semidirect
108. #14583524C22semidirect
109. #14583523C22semidirect
110. #14583521C22semidirect
111. #14583519C22semidirect
112. #14583515C22semidirect
113. #14583505C22semidirect
114. #14583504C22semidirect
115. #14583501C22semidirect
116. #14583499C22semidirect
117. #14583498C22semidirect
118. #14583498C22semidirect
119. #14583497C22semidirect
120. #14583497C22semidirect
121. #14583497C22semidirect
122. #14583497C22semidirect
123. #14583496C22semidirect
124. #14583496C22semidirect
125. #14583496C22semidirect
126. #14583495C22semidirect
127. #14583494C22semidirect
128. #14583491C22semidirect
129. #14583490C22semidirect
130. #14583489C22semidirect
131. #14583489C22semidirect
132. #14583489C22semidirect
133. #14583489C22semidirect
134. #14583488C22semidirect
135. #14583486C22semidirect
136. #14583486C22semidirect
137. #14583486C22semidirect
138. #14583485C22semidirect
139. #14583482C22semidirect
140. #14583482C22semidirect
141. #14583482C22semidirect
142. #14583482C22semidirect
143. #14583480C22semidirect
144. #14583476C22semidirect
145. #14583474C22semidirect
146. #14583472C22semidirect
147. #14583468C22semidirect
148. #14583463C22semidirect
150. #14583460C22semidirect
151. #14583460C22semidirect
152. #14583457C22semidirect
153. #14583457C22semidirect
154. #14583457C22semidirect
155. #14583457C22semidirect
156. #14583436C22semidirect
157. #14583434C22semidirect
158. #14583432C22semidirect
159. #14583427C22semidirect
160. #14583412C22semidirect
161. #14583412C22semidirect
162. #14583412C22semidirect
163. #14583411C22semidirect
164. #14583410C22semidirect
165. #14583410C22semidirect
166. #14583410C22semidirect
167. #14583409C22semidirect
168. #14583409C22semidirect
169. #14583408C22semidirect
170. #14583408C22semidirect
171. #14583408C22semidirect
172. #14583407C22semidirect
173. #14583406C22semidirect
174. #14583405C22semidirect
175. #14583405C22semidirect
176. C2×#13063310C22semidirect
177. C2×#13063310C22semidirect
178. C2×#13063310C22semidirect
179. C2×#13063310C22semidirect
180. C2×#13063310C22semidirect
181. C2×#13063310C22semidirect
182. C2×#13063310C22semidirect
183. C2×#13063310C22semidirect
184. C2×#13063310C22semidirect
185. #123×D43C22semidirect
186. #123×D43C22semidirect
187. C22⋊Q8×D43C22semidirect
188. C22⋊Q8×D43C22semidirect
189. #121×D43C22semidirect
190. #121×D43C22semidirect
191. #120×D43C22semidirect
192. #120×D43C22semidirect
193. #14583380C22semidirect
194. #14583378C22semidirect
195. #14583373C22semidirect
196. #14583371C22semidirect
197. #14583371C22semidirect
198. #14583371C22semidirect
199. C4×D4×D43C22semidirect
200. C4×D4×D43C22semidirect
201. #117×D43C22semidirect
202. C22×Dic43⋊C4C22semidirect
203. C22×(C2×D43)⋊C4C22semidirect
204. C22×(C2×D43)⋊C4C22semidirect
205. C22×(C2×D43)⋊C4C22semidirect
206. C43×#554C22semidirect
207. C43×#553C22semidirect
208. C43×#552C22semidirect
209. C43×#547C22semidirect
210. C43×#544C22semidirect
211. C43×#539C22semidirect
212. C43×#539C22semidirect
213. C43×#537C22semidirect
214. C43×#525C22semidirect
215. C43×#525C22semidirect
216. C43×#525C22semidirect
217. C43×#520C22semidirect
218. C22×C4⋊C4×C43C22semidirect
223. C2×#10621902C23semidirect
228. C2×#10621898C23semidirect
231. C2×#10621900C23semidirect
233. C2×Q8×D43C23semidirect
248. C2×D4×D43C23semidirect
258. C22×C4×D43C23semidirect
259. #13063324C23semidirect
260. #13063324C23semidirect
261. #13063323C23semidirect
264. #13063320C23semidirect
265. #13063320C23semidirect
266. #13063320C23semidirect
267. #13063320C23semidirect
268. #13063320C23semidirect
269. #13063320C23semidirect
270. #13063320C23semidirect
271. #13063320C23semidirect
272. #13063320C23semidirect
273. #13063320C23semidirect
274. #13063320C23semidirect
275. #13063320C23semidirect
276. #13063319C23semidirect
277. #13063319C23semidirect
278. #13063319C23semidirect
279. #13063319C23semidirect
280. #13063318C23semidirect
281. #13063318C23semidirect
282. #13063317C23semidirect
283. #13063316C23semidirect
284. #13063316C23semidirect
285. #13063315C23semidirect
286. #13063315C23semidirect
287. #13063315C23semidirect
288. #13063315C23semidirect
289. #13063315C23semidirect
290. #13063315C23semidirect
292. #13063314C23semidirect
293. #13063314C23semidirect
294. #13063314C23semidirect
296. #13063313C23semidirect
297. #13063313C23semidirect
298. #13063313C23semidirect
299. #13063311C23semidirect
300. #13063311C23semidirect
301. #13063311C23semidirect
302. #13063311C23semidirect
303. #13063311C23semidirect
304. #13063311C23semidirect
325. #13063310C23semidirect
326. #13063310C23semidirect
327. #13063310C23semidirect
328. #13063310C23semidirect
329. #13063310C23semidirect
330. #13063310C23semidirect
331. #13063310C23semidirect
332. #13063310C23semidirect
333. #13063310C23semidirect
334. #13063310C23semidirect
335. #13063310C23semidirect
336. #13063310C23semidirect
337. #13063310C23semidirect
338. #13063310C23semidirect
341. #13063309C23semidirect
342. #13063309C23semidirect
343. #13063309C23semidirect
347. #13063308C23semidirect
348. #13063308C23semidirect
349. #13063308C23semidirect
350. #13063308C23semidirect
351. #13063307C23semidirect
352. #13063307C23semidirect
353. #13063307C23semidirect
354. #13063307C23semidirect
355. #13063307C23semidirect
356. #13063307C23semidirect
359. #13063306C23semidirect
360. #13063305C23semidirect
361. #13063305C23semidirect
362. #13063305C23semidirect
363. #13063305C23semidirect
364. #13063305C23semidirect
365. #13063305C23semidirect
372. #13063304C23semidirect
373. #13063303C23semidirect
374. #13063303C23semidirect
375. #13063303C23semidirect
376. #13063303C23semidirect
377. #13063303C23semidirect
378. #13063303C23semidirect
379. #13063303C23semidirect
380. #13063303C23semidirect
381. #13063303C23semidirect
382. #13063303C23semidirect
383. #13063303C23semidirect
384. #13063303C23semidirect
389. #13063302C23semidirect
390. #13063302C23semidirect
391. #13063301C23semidirect
392. #13063301C23semidirect
393. #13063301C23semidirect
394. #13063301C23semidirect
395. #13063301C23semidirect
396. #13063301C23semidirect
403. #13063300C23semidirect
404. #13063300C23semidirect
405. #13063300C23semidirect
406. #13063300C23semidirect
407. #13063300C23semidirect
408. #13063300C23semidirect
417. #13063299C23semidirect
418. #13063299C23semidirect
419. #13063299C23semidirect
424. #13063298C23semidirect
425. #13063298C23semidirect
426. #13063298C23semidirect
427. #13063298C23semidirect
428. #13063298C23semidirect
429. #13063298C23semidirect
434. #13063297C23semidirect
435. #13063297C23semidirect
436. #13063297C23semidirect
437. #13063297C23semidirect
438. #13063296C23semidirect
439. #13063296C23semidirect
450. #13063295C23semidirect
451. #13063295C23semidirect
452. #13063295C23semidirect
460. #13063293C23semidirect
461. #13063293C23semidirect
462. #13063293C23semidirect
463. C4×Dic86C23semidirect
464. #13063290C23semidirect
465. #13063290C23semidirect
468. C4×D172C23semidirect
469. C4×D172C23semidirect
470. C4×D172C23semidirect
471. C4×D172C23semidirect
472. C4×D172C23semidirect
479. #13063287C23semidirect
480. #13063287C23semidirect
481. #13063287C23semidirect
482. #13063287C23semidirect
483. #13063287C23semidirect
484. #13063287C23semidirect
491. C4×C22⋊D43C23semidirect
492. C4×C22⋊D43C23semidirect
493. C4×C22⋊D43C23semidirect
494. C4×C22⋊D43C23semidirect
495. C4×C22⋊D43C23semidirect
496. C4×C22⋊D43C23semidirect
501. (C22⋊D43)⋊C4C23semidirect
502. (C22⋊D43)⋊C4C23semidirect
503. (C22⋊D43)⋊C4C23semidirect
504. (C22⋊D43)⋊C4C23semidirect
505. (C22⋊D43)⋊C4C23semidirect
506. (C22⋊D43)⋊C4C23semidirect
510. #13063283C23semidirect
511. #13063283C23semidirect
512. #13063283C23semidirect
513. #13063283C23semidirect
514. #13063283C23semidirect
515. #13063283C23semidirect
516. #13063282C23semidirect
517. #13063282C23semidirect
518. #13063282C23semidirect
519. #13063282C23semidirect
520. #13063282C23semidirect
523. #13063281C23semidirect
529. C2×Dic43⋊C4C23semidirect
530. C4⋊C4×D43C23semidirect
531. C4⋊C4×D43C23semidirect
532. C4⋊C4×D43C23semidirect
533. C4⋊C4×D43C23semidirect
534. C4⋊C4×D43C23semidirect
535. C4⋊C4×D43C23semidirect
550. C2×(C2×D43)⋊C4C23semidirect
551. C2×(C2×D43)⋊C4C23semidirect
552. C2×(C2×D43)⋊C4C23semidirect
559. C22⋊C4×D43C23semidirect
560. C22⋊C4×D43C23semidirect
561. C22⋊C4×D43C23semidirect
562. C22⋊C4×D43C23semidirect
563. C22⋊C4×D43C23semidirect
564. C42×D43C23semidirect
571. C4⋊Q8×C43C23semidirect
572. #126×C43C23semidirect
573. #126×C43C23semidirect
574. #125×C43C23semidirect
575. #125×C43C23semidirect
576. #125×C43C23semidirect
580. #123×C43C23semidirect
581. #123×C43C23semidirect
588. C22⋊Q8×C43C23semidirect
589. C22⋊Q8×C43C23semidirect
590. C22⋊Q8×C43C23semidirect
597. #121×C43C23semidirect
599. C4×Q8×C43C23semidirect
606. C4×D4×C43C23semidirect
610. #117×C43C23semidirect
617. C2×C4⋊C4×C43C23semidirect
1060. #3492D43semidirect
1097. #554C2×D43semidirect
1105. #553C2×D43semidirect
1113. #552C2×D43semidirect
1139. #547C2×D43semidirect
1166. #544C2×D43semidirect
1191. #539C2×D43semidirect
1192. #539C2×D43semidirect
1208. #537C2×D43semidirect
1240. #525C2×D43semidirect
1241. #525C2×D43semidirect
1242. #525C2×D43semidirect
1262. #520C2×D43semidirect
1271. C22×C4⋊C4C2×D43semidirect
1275. C43#62820semidirect
1325. C4⋊Q8C22×D43semidirect
1346. #126C22×D43semidirect
1347. #126C22×D43semidirect
1357. #125C22×D43semidirect
1358. #125C22×D43semidirect
1359. #125C22×D43semidirect
1432. #123C22×D43semidirect
1433. #123C22×D43semidirect
1477. C22⋊Q8C22×D43semidirect
1478. C22⋊Q8C22×D43semidirect
1479. C22⋊Q8C22×D43semidirect
1529. #121C22×D43semidirect
1557. C4×Q8C22×D43semidirect
1605. C4×D4C22×D43semidirect
1626. #117C22×D43semidirect
1645. C2×C4⋊C4C22×D43semidirect

Maximal subgroups

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

subgroupindex
#191488052
#191488012
#191487992
#191487902
#191487742
#191487722
#191487652
#191487612
#191485382
#191485372
#191485262
#191485252
#191483042
#191482962
#191482902
#191482782
#191482342
#191482282
#525×D432
C22×#130633102
C43×#34922
#6282043