Finite Group Databasebeta

← #26005251

Subgroups — #26005251

Order 11008.

7382 conjugacy classes of subgroups.

The subgroup lattice has 2140 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148809C212yesmaximal, complemented
2#19148793C212yesmaximal, complemented
3#19148791C214yesmaximal, complemented
4#19148786C212yesmaximal, complemented
5#19148782C212yesmaximal, complemented
6#19148780C214yesmaximal, complemented
7#19148767C214yesmaximal, complemented
8#19148754C214yesmaximal, complemented
9#19148532C214yesmaximal, complemented
10#19148531C214yesmaximal, complemented
11#19148524C214yesmaximal, complemented
12#19148523C214yesmaximal, complemented
13#19148301C212yesmaximal, complemented
14#19148296C212yesmaximal, complemented
15#19148286C214yesmaximal, complemented
16#19148284C211yesmaximal, characteristic, complemented
17#19148282C212yesmaximal, complemented
18#19148278C212yesmaximal, complemented
19#19148232C214yesmaximal, complemented
20#19148224C212yesmaximal, complemented
21#525×D43C212yesmaximal, complemented
22C22×#13063307C211yesmaximal, characteristic, complemented
23C43×#3490C211yesmaximal, characteristic, complemented
24C2×#13063370C2212yescomplemented
25C2×#41×D43C2212yescomplemented
26C23×C22⋊D43C2211yescharacteristic
27C23×C4×D43C2211yescharacteristic, complemented
28#14583651C2214yescomplemented
29#14583650C2214yescomplemented
30#14583646C2214yescomplemented
31#14583645C2214yescomplemented
32#14583644C2214yescomplemented
33#14583643C2214yescomplemented
34#14583639C2214yescomplemented
35#14583638C2214yescomplemented
36#14583632C2214yescomplemented
37#14583631C2214yescomplemented
38#14583608C2214yescomplemented
39#14583607C2214yescomplemented
40#14583606C2214yescomplemented
41#14583603C2214yescomplemented
42#14583601C2214yescomplemented
43#14583598C2214yescomplemented
44#14583595C2214yescomplemented
45#14583595C2214yescomplemented
46#14583594C2214yescomplemented
47#14583593C2214yescomplemented
48#14583592C2214yescomplemented
49#14583592C2214yescomplemented
50#14583591C2214yescomplemented
51#14583589C2214yescomplemented
52#14583588C2214yescomplemented
53#14583586C2214yescomplemented
54#14583585C2214yescomplemented
55#14583585C2214yescomplemented
56#14583583C2214yescomplemented
57#14583582C2214yescomplemented
58#14583580C2214yescomplemented
59#14583580C2214yescomplemented
60#14583579C2214yescomplemented
61#14583578C2214yescomplemented
62#14583578C2214yescomplemented
63#14583577C2214yescomplemented
64#14583576C2214yescomplemented
65#14583575C2214yescomplemented
66#14583575C2214yescomplemented
67#14583575C2214yescomplemented
68#14583575C2214yescomplemented
69#14583575C2214yescomplemented
70#14583574C2214yescomplemented
71#14583573C2214yescomplemented
72#14583572C2214yescomplemented
73#14583572C2214yescomplemented
74#14583554C2214yescomplemented
75#14583553C2214yescomplemented
76#14583551C2214yescomplemented
77#14583549C2214yescomplemented
78#14583549C2214yescomplemented
79#14583548C2214yescomplemented
80#14583547C2214yescomplemented
81#14583547C2214yescomplemented
82#14583546C2214yescomplemented
83#14583544C2214yescomplemented
84#14583543C2214yescomplemented
85#14583543C2214yescomplemented
86#14583542C2214yescomplemented
87#14583541C2214yescomplemented
88#14583539C2214yescomplemented
89#14583539C2214yescomplemented
90#14583539C2214yescomplemented
91#14583539C2214yescomplemented
92#14583539C2214yescomplemented
93#14583538C2214yescomplemented
94#14583537C2214yescomplemented
95#14583536C2214yescomplemented
96#14583536C2214yescomplemented
97#14583536C2214yescomplemented
98#14583536C2214yescomplemented
99#14583536C2214yescomplemented
100D4×C22⋊D43C2214yescomplemented
101D4×C22⋊D43C2214yescomplemented
102#14583531C2214yescomplemented
103#14583531C2214yescomplemented
104#14583528C2212yescomplemented
105#14583527C2212yescomplemented
106#14583525C2212yescomplemented
107#14583525C2211yescharacteristic, complemented
108#14583524C2212yescomplemented
109#14583522C2214yescomplemented
110#14583520C2214yescomplemented
111#14583517C2214yescomplemented
112#14583513C2214yescomplemented
113#14583502C2214yescomplemented
114#14583501C2214yescomplemented
115#14583500C2214yescomplemented
116#14583499C2214yescomplemented
117#14583498C2212yescomplemented
118#14583495C2214yescomplemented
119#14583495C2214yescomplemented
120#14583494C2212yescomplemented
121#14583493C2214yescomplemented
122#14583493C2214yescomplemented
123#14583493C2214yescomplemented
124#14583492C2214yescomplemented
125#14583492C2214yescomplemented
126#14583491C2214yescomplemented
127#14583491C2214yescomplemented
128#14583490C2214yescomplemented
129#14583490C2214yescomplemented
130#14583489C2212yescomplemented
131#14583488C2214yescomplemented
132#14583487C2212yescomplemented
133#14583487C2212yescomplemented
134#14583487C2214yescomplemented
135#14583486C2212yescomplemented
136#14583484C2214yescomplemented
137#14583484C2214yescomplemented
138#14583484C2214yescomplemented
139#14583483C2214yescomplemented
140#14583482C2214yescomplemented
141#14583477C2212yescomplemented
142#14583476C2212yescomplemented
143#14583472C2214yescomplemented
144#14583469C2214yescomplemented
145#14583464C2214yescomplemented
146#14583461C2212yescomplemented
147#14583461C2211yescharacteristic, complemented
148#14583459C2214yes—
149#14583459C2214yescomplemented
150#14583458C2212yescomplemented
151#14583458C2212yescomplemented
152#14583457C2212yescomplemented
153#14583457C2214yescomplemented
154#14583432C2214yescomplemented
155#14583431C2214yescomplemented
156#14583428C2214yescomplemented
157#14583427C2214yescomplemented
158#14583412C2212yescomplemented
159#14583412C2212yescomplemented
160#14583411C2212yescomplemented
161#14583410C2212yescomplemented
162#14583410C2212yescomplemented
163#14583409C2212yescomplemented
164#14583409C2212yescomplemented
165#14583409C2214yescomplemented
166#14583408C2214yescomplemented
167#14583408C2214yescomplemented
168#14583408C2214yescomplemented
169#14583407C2214yescomplemented
170#14583406C2212yescomplemented
171#14583405C2214yescomplemented
172#14583405C2214yescomplemented
173#14583405C2214yescomplemented
174C2×#13063307C2212yescomplemented
175C2×#13063307C2214yescomplemented
176C2×#13063307C2214yescomplemented
177C2×#13063307C2212yescomplemented
178C2×#13063307C2214yescomplemented
179C2×#13063307C2214yescomplemented
180C2×#13063307C2212yescomplemented
181C2×#13063307C2212yescomplemented
182C2×#13063307C2214yescomplemented
183#123×D43C2214yescomplemented
184#123×D43C2214yescomplemented
185C22⋊Q8×D43C2212yescomplemented
186C22⋊Q8×D43C2212yescomplemented
187#121×D43C2212yescomplemented
188#121×D43C2212yescomplemented
189C2×#13063294C2212yescomplemented
190#120×D43C2214yescomplemented
191#14583382C2212yescomplemented
192#14583379C2212yescomplemented
193#14583378C2214yescomplemented
194#14583374C2212yescomplemented
195#14583372C2212yescomplemented
196#14583372C2212yescomplemented
197#14583372C2212yescomplemented
198#14583371C2214yescomplemented
199C4×D4×D43C2214yescomplemented
200C4×D4×D43C2214yescomplemented
201#117×D43C2212yescomplemented
202C22×C4⋊Dic43C2211yescharacteristic, complemented
203C22×Dic43⋊C4C2211yescharacteristic, complemented
204C22×C22⋊Dic43C2211yescharacteristic, complemented
205C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
206C43×#551C2214yescomplemented
207C43×#551C2214yescomplemented
208C43×#546C2214yescomplemented
209C43×#546C2214yescomplemented
210C43×#543C2211yescharacteristic, complemented
211C43×#538C2212yescomplemented
212C43×#538C2212yescomplemented
213C43×#534C2211yescharacteristic, complemented
214C43×#525C2212yescomplemented
215C43×#525C2212yescomplemented
216C2×#120×C43C2212yescomplemented
217C43×#518C2212yescomplemented
218C22×C22⋊C4×C43C2211yescharacteristic, complemented
219C24×D43C2311yescharacteristic
220#13063370—48no—
221C2×#10621902C2312yescomplemented
222C2×#10621898C2314yes—
223C2×#10621898C2312yes—
224C2×#10621898C2312yes—
225C2×#10621898C2314yescomplemented
226C2×#10621900C2314yes—
227C2×#10621900C2314yes—
228C2×#10621900C2314yes—
229C2×#10621900C2314yes—
230C2×#10621900C2312yescomplemented
231#41×D43—48no—
232C2×Q8×D43C2312yescomplemented
233C22×C22⋊D43—44no—
234C22×C22⋊D43C2312yes—
235C22×C22⋊D43C2312yes—
236C22×C22⋊D43C2312yes—
237C22×C22⋊D43C2312yes—
238C22×C22⋊D43C2312yes—
239C22×C22⋊D43C2312yes—
240C22×C22⋊D43C2314yes—
241C22×C22⋊D43C2312yes—
242C22×C22⋊D43C2314yes—
243C2×D4×D43C2314yes—
244C2×D4×D43C2314yes—
245C2×D4×D43C2314yes—
246C2×D4×D43C2314yes—
247C2×D4×D43C2312yescomplemented
248C23×Dic43C2311yescharacteristic
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#13063325C2314yescomplemented
260#13063324C2314yescomplemented
261#13063324C2314yescomplemented
262#13063323C2314yescomplemented
263#13063321C2314yes—
264#13063321C2314yes—
265#13063320C2314yescomplemented
266#13063320C2314yescomplemented
267#13063320C2314yescomplemented
268#13063320C2314yescomplemented
269#13063320C2314yescomplemented
270#13063320C2314yescomplemented
271#13063319C2314yescomplemented
272#13063319C2314yescomplemented
273#13063318C2314yescomplemented
274#13063318C2314yescomplemented
275#13063318C2314yescomplemented
276#13063318C2314yescomplemented
277#13063318C2314yescomplemented
278#13063318C2314yescomplemented
279#13063318C2314yescomplemented
280#13063318C2314yescomplemented
281#13063318C2314yescomplemented
282#13063318C2314yescomplemented
283#13063317C2314yescomplemented
284#13063317C2314yescomplemented
285#13063316C2314yescomplemented
286#13063316C2314yescomplemented
287#13063316C2314yescomplemented
288#13063316C2314yescomplemented
289#13063315C2314yescomplemented
290#13063315C2314yescomplemented
291#13063315C2314yescomplemented
292#13063315C2314yescomplemented
293#13063315C2314yescomplemented
294#13063315C2314yescomplemented
295#13063314C2314yescomplemented
296#13063313C2314yescomplemented
297#13063312C2314yescomplemented
298#13063312C2314yescomplemented
299#13063311C2314yes—
300#13063311C2314yes—
301#13063311C2314yescomplemented
302#13063311C2314yescomplemented
303#13063311C2314yescomplemented
304#13063311C2314yescomplemented
305#13063311C2314yescomplemented
306#13063311C2314yescomplemented
307#13063310C2314yescomplemented
308#13063310C2314yescomplemented
309#13063310C2314yescomplemented
310#13063310C2314yescomplemented
311#13063310C2314yescomplemented
312#13063310C2314yescomplemented
313#13063309C2314yes—
314#13063309C2314yes—
315#13063309C2314yes—
316#13063309C2314yes—
317#13063309C2314yescomplemented
318#13063309C2314yescomplemented
319#13063309C2314yescomplemented
320#13063309C2314yescomplemented
321#13063308C2314yes—
322#13063308C2314yes—
323#13063308C2314yes—
324#13063308C2314yescomplemented
325#13063308C2314yescomplemented
326#13063308C2314yescomplemented
327#13063307C2314yes—
328#13063307C2314yes—
329#13063307C2314yes—
330#13063307C2314yes—
331#13063307C2314yes—
332#13063307C2314yes—
333#13063307C2314yes—
334#13063307C2314yes—
335#13063307C2314yes—
336#13063307C2314yes—
337#13063307C2314yes—
338#13063307C2314yes—
339#13063307C2314yes—
340#13063307C2314yes—
341#13063307C2314yes—
342#13063307C2314yes—
343#13063307C2314yes—
344#13063307C2314yes—
345#13063307C2314yescomplemented
346#13063307C2314yescomplemented
347#13063307C2314yescomplemented
348#13063307C2314yescomplemented
349#13063307C2314yescomplemented
350#13063307C2314yescomplemented
351#13063307C2314yescomplemented
352#13063307C2314yescomplemented
353#13063307C2314yescomplemented
354#13063307C2314yescomplemented
355#13063306C2314yes—
356#13063306C2314yes—
357#13063306C2314yes—
358#13063306C2314yescomplemented
359#13063306C2314yescomplemented
360#13063306C2314yescomplemented
361#13063306C2314yescomplemented
362#13063305C2314yescomplemented
363#13063305C2314yescomplemented
364#13063305C2314yescomplemented
365#13063305C2312yescomplemented
366#13063305C2312yescomplemented
367#13063304C2312yes—
368#13063304C2312yes—
369#13063304C2312yes—
370#13063304C2312yes—
371#13063304C2314yescomplemented
372#13063304C2314yescomplemented
373#13063304C2314yescomplemented
374#13063304C2314yescomplemented
375#13063303C2314yescomplemented
376#13063303C2314yescomplemented
377#13063303C2314yescomplemented
378#13063303C2314yescomplemented
379#13063303C2314yescomplemented
380#13063303C2314yescomplemented
381#13063302C2314yes—
382#13063302C2314yes—
383#13063302C2314yes—
384#13063302C2314yes—
385#13063302C2314yes—
386#13063302C2314yes—
387#13063302C2314yescomplemented
388#13063302C2314yescomplemented
389#13063302C2314yescomplemented
390#13063302C2314yescomplemented
391#13063302C2314yescomplemented
392#13063302C2314yescomplemented
393#13063302C2314yescomplemented
394#13063302C2314yescomplemented
395#13063301C2314yescomplemented
396#13063301C2314yescomplemented
397#13063301C2314yescomplemented
398#13063301C2312yescomplemented
399#13063301C2312yescomplemented
400#13063300C2314yescomplemented
401#13063300C2312yescomplemented
402#13063300C2312yescomplemented
403#13063299C2312yes—
404#13063299C2314yes—
405#13063299C2312yes—
406#13063299C2314yes—
407#13063299C2312yes—
408#13063299C2312yes—
409#13063299C2314yescomplemented
410#13063299C2314yescomplemented
411#13063298C2314yes—
412#13063298C2314yes—
413#13063298C2314yes—
414#13063298C2314yes—
415#13063298C2314yescomplemented
416#13063298C2314yescomplemented
417#13063298C2314yescomplemented
418#13063298C2314yescomplemented
419#13063298C2314yescomplemented
420#13063298C2314yescomplemented
421#13063297C2314yes—
422#13063297C2314yes—
423#13063297C2314yes—
424#13063297C2314yes—
425#13063297C2314yes—
426#13063297C2314yes—
427#13063297C2314yes—
428#13063297C2314yes—
429#13063297C2314yes—
430#13063297C2314yes—
431#13063297C2314yescomplemented
432#13063297C2314yescomplemented
433#13063297C2314yescomplemented
434#13063297C2314yescomplemented
435#13063296C2314yes—
436#13063296C2314yes—
437#13063296C2314yescomplemented
438#13063296C2314yescomplemented
439#13063296C2314yescomplemented
440#13063296C2312yescomplemented
441#13063296C2312yescomplemented
442#13063295C2314yes—
443#13063295C2314yes—
444#13063295C2314yes—
445#13063295C2314yes—
446#13063295C2314yescomplemented
447#13063295C2314yescomplemented
448#13063294C2314yes—
449#13063294C2314yes—
450#13063294C2314yes—
451#13063294C2314yes—
452#13063294C2314yes—
453#13063294C2314yescomplemented
454#13063293C2314yes—
455#13063293C2314yes—
456#13063293C2314yes—
457#13063293C2314yes—
458#13063293C2314yes—
459#13063293C2314yescomplemented
460#13063293C2314yescomplemented
461Q8×Dic43C2314yescomplemented
462C4×Dic86C2314yescomplemented
463C4×Dic86C2314yescomplemented
464#13063290C2314yescomplemented
465C4×D172C2314yescomplemented
466C4×D172C2314yescomplemented
467C4×D172C2314yescomplemented
468C4×D172C2314yescomplemented
469D4×Dic43C2314yes—
470D4×Dic43C2314yes—
471D4×Dic43C2314yes—
472D4×Dic43C2314yes—
473D4×Dic43C2314yes—
474D4×Dic43C2314yes—
475D4×Dic43C2314yescomplemented
476D4×Dic43C2314yescomplemented
477D4×Dic43C2314yescomplemented
478#13063287C2314yescomplemented
479#13063287C2314yescomplemented
480#13063287C2314yescomplemented
481C4×C22⋊D43C2314yes—
482C4×C22⋊D43C2314yes—
483C4×C22⋊D43C2314yes—
484C4×C22⋊D43C2314yes—
485C4×C22⋊D43C2314yes—
486C4×C22⋊D43C2314yes—
487C4×C22⋊D43C2314yescomplemented
488C4×C22⋊D43C2314yescomplemented
489C4×C22⋊D43C2314yescomplemented
490C4×C22⋊D43C2314yescomplemented
491C4×C22⋊D43C2314yescomplemented
492C4×C22⋊D43C2314yescomplemented
493(C22⋊D43)⋊C4C2314yes—
494(C22⋊D43)⋊C4C2314yes—
495(C22⋊D43)⋊C4C2314yes—
496(C22⋊D43)⋊C4C2314yes—
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#13063284C2314yescomplemented
510#13063284C2314yescomplemented
511#13063283C2312yescomplemented
512#13063283C2314yescomplemented
513#13063283C2314yescomplemented
514#13063283C2312yescomplemented
515#13063282C2314yescomplemented
516#13063282C2314yescomplemented
517#13063282C2314yescomplemented
518#13063281C2314yes—
519#13063281C2314yes—
520#13063281C2314yes—
521#13063281C2314yescomplemented
522#13063281C2314yescomplemented
523#13063281C2314yescomplemented
524C2×C4⋊Dic43C2314yes—
525C2×C4⋊Dic43C2312yes—
526C2×C4⋊Dic43C2312yes—
527C2×C4⋊Dic43C2312yes—
528C2×C4⋊Dic43C2312yes—
529C2×C4⋊Dic43C2314yescomplemented
530C2×Dic43⋊C4C2314yes—
531C2×Dic43⋊C4C2314yes—
532C2×Dic43⋊C4C2312yes—
533C2×Dic43⋊C4C2312yes—
534C2×Dic43⋊C4C2314yescomplemented
535C4⋊C4×D43C2314yescomplemented
536C4⋊C4×D43C2314yescomplemented
537C4⋊C4×D43C2314yescomplemented
538C4⋊C4×D43C2314yescomplemented
539C4⋊C4×D43C2312yescomplemented
540C4⋊C4×D43C2312yescomplemented
541C2×C22⋊Dic43C2312yes—
542C2×C22⋊Dic43C2312yes—
543C2×C22⋊Dic43C2312yes—
544C2×C22⋊Dic43C2314yes—
545C2×C22⋊Dic43C2312yes—
546C2×C22⋊Dic43C2312yes—
547C2×C22⋊Dic43C2312yes—
548C2×C22⋊Dic43C2312yes—
549C2×C22⋊Dic43C2314yescomplemented
550C2×(C2×D43)⋊C4C2314yes—
551C2×(C2×D43)⋊C4C2312yes—
552C2×(C2×D43)⋊C4C2312yes—
553C2×(C2×D43)⋊C4C2312yes—
554C2×(C2×D43)⋊C4C2312yes—
555C2×(C2×D43)⋊C4C2314yescomplemented
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
565C25×C43C2311yescharacteristic
566C2×#41×C43C2312yes—
567C2×#41×C43C2312yes—
568C22×D4×C43C2312yes—
569C22×D4×C43C2312yes—
570C22×D4×C43C2312yes—
571C23×C4×C43C2311yescharacteristic
572C23×C4×C43C2311yescharacteristic
573#126×C43C2314yescomplemented
574#126×C43C2314yescomplemented
575#124×C43C2314yescomplemented
576#124×C43C2314yescomplemented
577#123×C43C2314yes—
578#123×C43C2314yes—
579#123×C43C2314yescomplemented
580#123×C43C2314yescomplemented
581#123×C43C2314yescomplemented
582C22⋊Q8×C43C2312yes—
583C22⋊Q8×C43C2312yes—
584C22⋊Q8×C43C2312yes—
585C22⋊Q8×C43C2312yes—
586C22⋊Q8×C43C2314yescomplemented
587C22⋊Q8×C43C2314yescomplemented
588#121×C43C2312yes—
589#121×C43C2312yes—
590#121×C43C2312yes—
591#121×C43C2312yes—
592#121×C43C2314yescomplemented
593#121×C43C2314yescomplemented
594#120×C43C2314yes—
595#120×C43C2314yes—
596#120×C43C2314yes—
597#120×C43C2314yes—
598#120×C43C2314yescomplemented
599C4×D4×C43C2314yes—
600C4×D4×C43C2314yes—
601C4×D4×C43C2314yes—
602C4×D4×C43C2314yes—
603C4×D4×C43C2314yescomplemented
604C4×D4×C43C2314yescomplemented
605#117×C43C2312yes—
606#117×C43C2312yes—
607#117×C43C2314yescomplemented
608C2×C22⋊C4×C43C2311yescharacteristic
609C2×C22⋊C4×C43C2314yes—
610C2×C22⋊C4×C43C2314yes—
611C2×C22⋊C4×C43C2311yescharacteristic
612C2×C22⋊C4×C43C2311yescharacteristic
613C2×C22⋊C4×C43C2311yescharacteristic
614C2×C22⋊C4×C43C2312yes—
615C2×C22⋊C4×C43C2312yes—
616C2×C22⋊C4×C43C2312yes—
617C2×C22⋊C4×C43C2314yescomplemented
618C24×C43—42no—
619C24×C43—42no—
620C24×C43—42no—
621C24×C43C2411yescharacteristic
622C24×C43C2411yescharacteristic
623C24×C43C2412yes—
624C24×C43C2412yes—
625C24×C43C2411yescharacteristic
626C24×C43C2412yes—
627C23×D43—24no—
628C23×D43—42no—
629C23×D43—42no—
630C23×D43C2412yes—
631C23×D43C2412yes—
632C23×D43C2414yes—
633C23×D43C2411yescharacteristic
634C23×D43C2412yes—
635C23×D43C2411yescharacteristic
636#41×C43—44no—
637#41×C43—44no—
638C2×Q8×C43C2412yes—
639C2×Q8×C43C2412yes—
640C2×D4×C43—44no—
641C2×D4×C43—44no—
642C2×D4×C43—44no—
643C2×D4×C43C2414yes—
644C2×D4×C43C2414yes—
645C2×D4×C43C2414yes—
646C2×D4×C43C2414yes—
647C2×D4×C43C2414yes—
648C2×D4×C43C2414yes—
649C2×D4×C43C2412yes—
650C2×D4×C43C2412yes—
651C22×C4×C43—42no—
652C22×C4×C43—42no—
653C22×C4×C43C2412yes—
654C22×C4×C43C2412yes—
655C22×C4×C43C2412yes—
656C22×C4×C43C2411yescharacteristic
657C22×C4×C43C2411yescharacteristic
658C22×C4×C43C2412yes—
659C22×C4×C43C2412yes—
660C22×C4×C43C2412yes—
661C22×C4×C43C2412yes—
662C22×C4×C43C2411yescharacteristic
663C22×C4×C43C2411yescharacteristic
664C22×C4×C43C2414yes—
665C22×C4×C43C2414yes—
666C2×C22⋊D43—28no—
667C2×C22⋊D43—44no—
668C2×C22⋊D43—44no—
669C2×C22⋊D43—48no—
670C2×C22⋊D43—44no—
671C2×C22⋊D43—48no—
672C2×C22⋊D43—44no—
673C2×C22⋊D43—44no—
674C2×C22⋊D43—44no—
675C2×C22⋊D43C2414yes—
676C2×C22⋊D43C2414yes—
677C2×C22⋊D43C2414yes—
678C2×C22⋊D43C2414yes—
679C2×C22⋊D43C2414yes—
680C2×C22⋊D43C2414yes—
681C2×C22⋊D43C2414yes—
682C2×C22⋊D43C2414yes—
683C2×C22⋊D43C2414yes—
684C2×C22⋊D43C2414yes—
685C2×C22⋊D43C2414yes—
686C2×C22⋊D43C2414yes—
687C2×C22⋊D43C2414yes—
688C2×C22⋊D43C2414yes—
689C2×C22⋊D43C2414yes—
690C2×C22⋊D43C2414yes—
691C22×Dic43—42no—
692C22×Dic43—42no—
693C22×Dic43—42no—
694C22×Dic43C2412yes—
695C22×Dic43C2412yes—
696C22×Dic43C2412yes—
697C22×Dic43C2412yes—
698C22×Dic43C2412yes—
699C22×Dic43C2414yes—
700C22×Dic43C2411yescharacteristic
701C22×Dic43C2412yes—
702C22×Dic43C2411yescharacteristic
703C22×Dic43C2412yes—
704C22×Dic43C2412yes—
705C22×Dic43C2412yes—
706C22×Dic43C2414yes—
707C22×Dic43C2412yes—
708C22×Dic43C2412yes—
709C22×Dic43C2414yes—
710#10621902—44no—
711Q8×D43—44no—
712#10621900—44no—
713#10621900—48no—
714#10621900—48no—
715#10621900—48no—
716#10621900—48no—
717D4×D43—216no—
718D4×D43—44no—
719D4×D43—48no—
720D4×D43—48no—
721D4×D43—48no—
722#10621898—48no—
723#10621898—48no—
724#10621898—44no—
725#10621898—44no—
726C2×D172C2414yes—
727C2×D172C2414yes—
728C2×D172C2414yes—
729C2×D172C2412yes—
730C2×D172C2412yes—
731C2×C4×D43—28no—
732C2×C4×D43—44no—
733C2×C4×D43—44no—
734C2×C4×D43—44no—
735C2×C4×D43—44no—
736C2×C4×D43—48no—
737C2×C4×D43—44no—
738C2×C4×D43C2412yes—
739C2×C4×D43C2414yes—
740C2×C4×D43C2412yes—
741C2×C4×D43C2412yes—
742C2×C4×D43C2412yes—
743C2×C4×D43C2414yes—
744C2×C4×D43C2414yes—
745C2×C4×D43C2414yes—
746C2×C4×D43C2414yes—
747C2×C4×D43C2414yes—
748C2×C4×D43C2414yes—
749C2×C4×D43C2414yes—
750C2×C4×D43C2412yes—
751C2×C4×D43C2412yes—
752C2×C4×D43C2412yes—
753C2×C4×D43C2412yes—
754C2×Dic86C2414yes—
755C2×Dic86C2412yes—
756C2×Dic86C2414yes—
757C2×Dic86C2414yes—
758C2×Dic86C2412yes—
759C4⋊C4×C43C2412yes—
760C4⋊C4×C43C2412yes—
761C4⋊C4×C43C2412yes—
762C4⋊C4×C43C2412yes—
763C4⋊C4×C43C2414yes—
764C4⋊C4×C43C2414yes—
765C4⋊C4×C43C2414yes—
766C4⋊C4×C43C2414yes—
767C22⋊C4×C43C2414yes—
768C22⋊C4×C43C2414yes—
769C22⋊C4×C43C2414yes—
770C22⋊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—
780C22⋊C4×C43C2414yes—
781C42×C43C2414yes—
782C42×C43C2414yes—
783C22⋊Dic43C2414yes—
784C22⋊Dic43C2414yes—
785C22⋊Dic43C2414yes—
786C22⋊Dic43C2414yes—
787C22⋊Dic43C2414yes—
788C22⋊Dic43C2414yes—
789C22⋊Dic43C2414yes—
790C22⋊Dic43C2414yes—
791C22⋊Dic43C2414yes—
792C22⋊Dic43C2414yes—
793C22⋊Dic43C2414yes—
794C22⋊Dic43C2414yes—
795C22⋊Dic43C2414yes—
796C22⋊Dic43C2414yes—
797C22⋊Dic43C2414yes—
798C22⋊Dic43C2414yes—
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—
819C4⋊Dic43C2414yes—
820C4⋊Dic43C2414yes—
821C4⋊Dic43C2412yes—
822C4⋊Dic43C2412yes—
823C4⋊Dic43C2414yes—
824C4⋊Dic43C2414yes—
825C4⋊Dic43C2414yes—
826C4⋊Dic43C2414yes—
827C4⋊Dic43C2414yes—
828C4⋊Dic43C2412yes—
829C4⋊Dic43C2414yes—
830C4⋊Dic43C2414yes—
831C4⋊Dic43C2412yes—
832C4⋊Dic43C2414yes—
833Dic43⋊C4C2414yes—
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—
852Dic43⋊C4C2414yes—
853C4×Dic43C2414yes—
854C4×Dic43C2414yes—
855C4×Dic43C2414yes—
856C4×Dic43C2414yes—
857C4×Dic43C2414yes—
858C4×Dic43C2414yes—
859C4×Dic43C2414yes—
860C4×Dic43C2414yes—
861C23×C43—22no—
862C23×C43—22no—
863C23×C43—22no—
864C23×C43—24no—
865C23×C43—22no—
866C23×C43—24no—
867C23×C43—22no—
868C23×C43—41no—
869C23×C43—42no—
870C23×C43—41no—
871C23×C43—42no—
872C23×C43—42no—
873C23×C43—41no—
874C23×C43—42no—
875C23×C43—41no—
876C23×C43—42no—
877C23×C43—42no—
878C23×C43—42no—
879C23×C43—88no—
880C23×C43C2512yes—
881C23×C43C2512yes—
882C23×C43C2514yes—
883C23×C43C2511yescharacteristic
884C23×C43C2511yescharacteristic
885C23×C43C2511yescharacteristic
886C22×D43—22no—
887C22×D43—24no—
888C22×D43—24no—
889C22×D43—24no—
890C22×D43—24no—
891C22×D43—28no—
892C22×D43—41no—
893C22×D43—41no—
894C22×D43—42no—
895C22×D43—42no—
896C22×D43—41no—
897C22×D43—41no—
898C22×D43—44no—
899C22×D43—44no—
900C22×D43—42no—
901C22×D43—42no—
902C22×D43—42no—
903C22×D43—416no—
904C22×D43H(5,𝔽2)14yes—
905C22×D43C2512yes—
906C22×D43C2514yes—
907C22×D43C2512yes—
908Q8×C43—42no—
909Q8×C43—42no—
910D4×C43—28no—
911D4×C43—28no—
912D4×C43—28no—
913D4×C43—44no—
914D4×C43—42no—
915D4×C43—44no—
916D4×C43—44no—
917D4×C43—42no—
918C2×C4×C43—24no—
919C2×C4×C43—24no—
920C2×C4×C43—41no—
921C2×C4×C43—42no—
922C2×C4×C43—41no—
923C2×C4×C43—44no—
924C2×C4×C43—42no—
925C2×C4×C43—41no—
926C2×C4×C43—42no—
927C2×C4×C43—41no—
928C2×C4×C43—42no—
929C2×C4×C43—42no—
930C2×C4×C43—44no—
931C2×C4×C43C2514yes—
932C2×C4×C43C2512yes—
933C2×C4×C43C2514yes—
934C2×C4×C43C2512yes—
935C2×C4×C43C2514yes—
936C2×C4×C43C2512yes—
937C2×C4×C43C2512yes—
938C22⋊D43—28no—
939C22⋊D43—28no—
940C22⋊D43—28no—
941C22⋊D43—28no—
942C22⋊D43—28no—
943C22⋊D43—28no—
944C22⋊D43—44no—
945C22⋊D43—44no—
946C22⋊D43—44no—
947C22⋊D43—44no—
948C22⋊D43—44no—
949C22⋊D43—44no—
950C22⋊D43—44no—
951C22⋊D43—44no—
952C22⋊D43—44no—
953C22⋊D43—44no—
954C2×Dic43—24no—
955C2×Dic43—24no—
956C2×Dic43—24no—
957C2×Dic43—41no—
958C2×Dic43—42no—
959C2×Dic43—41no—
960C2×Dic43—44no—
961C2×Dic43—42no—
962C2×Dic43—44no—
963C2×Dic43—44no—
964C2×Dic43—42no—
965C2×Dic43—42no—
966C2×Dic43—42no—
967C2×Dic43—42no—
968C2×Dic43—42no—
969C2×Dic43—42no—
970C2×Dic43C2514yes—
971C2×Dic43C2514yes—
972C2×Dic43C2512yes—
973C2×Dic43C2514yes—
974C2×Dic43C2514yes—
975C2×Dic43C2514yes—
976C2×Dic43C2512yes—
977D172—28no—
978D172—42no—
979D172—42no—
980D172—44no—
981D172—44no—
982C4×D43—24no—
983C4×D43—24no—
984C4×D43—24no—
985C4×D43—24no—
986C4×D43—28no—
987C4×D43—42no—
988C4×D43—42no—
989C4×D43—42no—
990C4×D43—42no—
991C4×D43—44no—
992C4×D43—44no—
993C4×D43—44no—
994C4×D43—44no—
995C4×D43—44no—
996C4×D43—44no—
997C4×D43—44no—
998Dic86—42no—
999Dic86—44no—
1000Dic86—42no—
1001Dic86—44no—
1002Dic86—44no—
1003#62820—431nomaximal, Sylow
1004C22×C43—28no—
1005C22×C43—21no—
1006C22×C43—21no—
1007C22×C43—21no—
1008C22×C43—21no—
1009C22×C43—21no—
1010C22×C43—21no—
1011C22×C43—24no—
1012C22×C43—22no—
1013C22×C43—22no—
1014C22×C43—22no—
1015C22×C43—22no—
1016C22×C43—24no—
1017C22×C43—24no—
1018C22×C43—22no—
1019C22×C43—22no—
1020C22×C43—84no—
1021C22×C43—82no—
1022C22×C43—84no—
1023C22×C43—82no—
1024C22×C43—162no—
1025C22×C43C2×H(5,𝔽2)12yes—
1026C22×C43#58512yes—
1027C22×C43#58512yes—
1028C22×C43C2611yescharacteristic
1029C2×D43—22no—
1030C2×D43—22no—
1031C2×D43—22no—
1032C2×D43—24no—
1033C2×D43—22no—
1034C2×D43—22no—
1035C2×D43—24no—
1036C2×D43—24no—
1037C2×D43—44no—
1038C2×D43—48no—
1039C2×D43—48no—
1040C2×D43—44no—
1041C2×D43—88no—
1042C2×D43—162no—
1043C2×D43C2×H(5,𝔽2)14yes—
1044C4×C43—24no—
1045C4×C43—22no—
1046C4×C43—22no—
1047C4×C43—24no—
1048C4×C43—22no—
1049C4×C43—22no—
1050C4×C43—24no—
1051Dic43—24no—
1052Dic43—22no—
1053Dic43—24no—
1054Dic43—22no—
1055Dic43—24no—
1056Dic43—24no—
1057Dic43—24no—
1058#3535—434no—
1059#3535—432no—
1060#3535—432no—
1061#3534—434no—
1062#3534—432no—
1063#3534—432no—
1064#3533—434no—
1065#3533—434no—
1066#3513—434no—
1067#3513—434no—
1068#3513—434no—
1069#3513—434no—
1070#3492—432no—
1071#3492—432no—
1072#3491—434no—
1073#3490—432no—
1074#3490—432no—
1075#3490—431no—
1076#3490D4311yescharacteristic, complemented
1077#3485—434no—
1078#3484—432no—
1079C2×#525—432no—
1080C22×#123—431no—
1081C2×C43—22no—
1082C2×C43—22no—
1083C2×C43—22no—
1084C2×C43—44no—
1085C2×C43—42no—
1086C2×C43—42no—
1087C2×C43C22×H(5,𝔽2)11yescharacteristic
1088C2×C43C2×#58511yescharacteristic
1089C2×C43C2×#58511yescharacteristic
1090D43—24no—
1091D43—42no—
1092D43—44no—
1093C2×H(5,𝔽2)—432no—
1094C22×#41—432no—
1095C23×D4—431no—
1096C24×C4—431no—
1097#563—434no—
1098#563—434no—
1099#562—434no—
1100#562—434no—
1101#562—434no—
1102#562—434no—
1103#560—434no—
1104#560—434no—
1105#559—434no—
1106#559—434no—
1107#554—434no—
1108#554—434no—
1109#554—434no—
1110#554—434no—
1111#553—434no—
1112#553—434no—
1113#553—434no—
1114#553—434no—
1115#553—434no—
1116#553—434no—
1117#553—434no—
1118#553—434no—
1119#552—434no—
1120#552—434no—
1121#552—434no—
1122#552—434no—
1123#552—434no—
1124#552—434no—
1125#552—434no—
1126#552—434no—
1127#551—434no—
1128#551—434no—
1129#551—434no—
1130#551—434no—
1131#551—434no—
1132#551—434no—
1133#551—434no—
1134#551—434no—
1135#551—434no—
1136#551—434no—
1137#551—434no—
1138#551—434no—
1139#551—434no—
1140#551—434no—
1141#551—434no—
1142#551—434no—
1143#551C2×D4314yescomplemented
1144#551C2×D4314yescomplemented
1145#547—434no—
1146#547—434no—
1147#547—434no—
1148#547—434no—
1149#547—434no—
1150#547—434no—
1151#547—434no—
1152#547—434no—
1153#546—434no—
1154#546—434no—
1155#546—434no—
1156#546—434no—
1157#546—434no—
1158#546—434no—
1159#546—434no—
1160#546—434no—
1161#546—434no—
1162#546—434no—
1163#546—434no—
1164#546—434no—
1165#546—434no—
1166#546—434no—
1167#546—434no—
1168#546—434no—
1169#546—434no—
1170#546—434no—
1171#546C2×D4314yescomplemented
1172#546C2×D4314yescomplemented
1173D42—434no—
1174D42—434no—
1175D42—434no—
1176D42—434no—
1177#544—432no—
1178#544—432no—
1179#543—432no—
1180#543—432no—
1181#543—431no—
1182#543C2×D4311yescharacteristic, complemented
1183#542—434no—
1184#542—434no—
1185#542—434no—
1186#542—434no—
1187#540—434no—
1188#540—434no—
1189#540—434no—
1190#540—434no—
1191#539—434no—
1192#539—434no—
1193#539—434no—
1194#539—434no—
1195#539—434no—
1196#539—434no—
1197#539—434no—
1198#539—432no—
1199#539—434no—
1200#539—434no—
1201#539—432no—
1202#539—434no—
1203#539—434no—
1204#538—434no—
1205#538—434no—
1206#538—432no—
1207#538—432no—
1208#538—434no—
1209#538—434no—
1210#538—434no—
1211#538—434no—
1212#538—432no—
1213#538—432no—
1214#538—434no—
1215#538C2×D4312yescomplemented
1216#538C2×D4312yescomplemented
1217#537—432no—
1218#537—432no—
1219#536—434no—
1220#536—434no—
1221#535—434no—
1222#534—432no—
1223#534—432no—
1224#534—432no—
1225#534—434no—
1226#534—434no—
1227#534—434no—
1228#534—432no—
1229#534—431no—
1230#534C2×D4311yescharacteristic, complemented
1231#529—434no—
1232#529—434no—
1233#529—434no—
1234#529—434no—
1235#525—432no—
1236#525—432no—
1237#525—432no—
1238#525—434no—
1239#525—432no—
1240#525—432no—
1241#525—432no—
1242#525—432no—
1243#525—434no—
1244#525—434no—
1245#525—434no—
1246#525—434no—
1247#525—434no—
1248#525—434no—
1249#525—434no—
1250#525—432no—
1251#525C2×D4312yescomplemented
1252#525C2×D4312yescomplemented
1253C2×#123—434no—
1254C2×#123—434no—
1255C2×#123—434no—
1256C2×#123—434no—
1257C2×#123—432no—
1258C2×#123—432no—
1259C2×#123—434no—
1260C2×#123—434no—
1261C2×#123—432no—
1262C2×#123—432no—
1263C2×#123—434no—
1264C2×C22⋊Q8—432no—
1265C2×C22⋊Q8—432no—
1266C2×#121—432no—
1267C2×#121—432no—
1268C2×#120—432no—
1269C2×#120—434no—
1270C2×#120C2×D4312yescomplemented
1271#520—432no—
1272#520—434no—
1273#520—432no—
1274#518—432no—
1275#518—434no—
1276#518—432no—
1277#518—432no—
1278#518—432no—
1279#518C2×D4312yescomplemented
1280C2×C4×D4—434no—
1281C2×C4×D4—434no—
1282C2×#117—432no—
1283C22×C4⋊C4—431no—
1284C22×C4⋊C4—431no—
1285C22×C22⋊C4—431no—
1286C22×C22⋊C4—431no—
1287C22×C22⋊C4C2×D4311yescharacteristic, complemented
1288C43#6282011yescharacteristic, complemented, Sylow
1289C25—431no—
1290C25C22×D4311yescharacteristic
1291H(5,𝔽2)—1728no—
1292C2×#41—432no—
1293C2×#41—434no—
1294C2×#41—434no—
1295C2×#41—432no—
1296C2×#41—434no—
1297C2×#41—434no—
1298C2×#41—432no—
1299C2×#41—432no—
1300C2×#41—434no—
1301C2×#41—434no—
1302C2×#41—1728no—
1303C2×#41C22×D4312yes—
1304C2×#41C22×D4312yes—
1305C22×Q8—432no—
1306C22×D4—432no—
1307C22×D4—432no—
1308C22×D4—432no—
1309C22×D4—432no—
1310C22×D4—432no—
1311C22×D4—432no—
1312C22×D4—434no—
1313C22×D4—432no—
1314C22×D4—434no—
1315C22×D4—434no—
1316C22×D4—434no—
1317C22×D4—434no—
1318C22×D4—432no—
1319C22×D4—434no—
1320C22×D4—1724no—
1321C22×D4C22×D4312yes—
1322C22×D4C22×D4312yes—
1323C22×D4C22×D4312yes—
1324C23×C4—431no—
1325C23×C4—431no—
1326C23×C4—431no—
1327C23×C4—432no—
1328C23×C4—432no—
1329C23×C4—432no—
1330C23×C4—434no—
1331C23×C4—432no—
1332C23×C4—432no—
1333C23×C4—432no—
1334C23×C4—1724no—
1335C23×C4C22×D4311yescharacteristic
1336C23×C4C22×D4311yescharacteristic
1337C4⋊Q8—434no—
1338C4⋊Q8—434no—
1339C4⋊Q8—434no—
1340C4⋊Q8—434no—
1341#127—434no—
1342#127—434no—
1343#126—434no—
1344#126—434no—
1345#126—434no—
1346#126—434no—
1347#126—434no—
1348#126—434no—
1349#126—434no—
1350#126—434no—
1351#126—434no—
1352#126—434no—
1353#126—434no—
1354#126—434no—
1355#126—434no—
1356#126—434no—
1357#126—434no—
1358#126—434no—
1359#126—434no—
1360#126—434no—
1361#126C22×D4314yescomplemented
1362#126C22×D4314yescomplemented
1363#125—434no—
1364#125—434no—
1365#125—434no—
1366#125—434no—
1367#125—434no—
1368#125—434no—
1369#125—434no—
1370#125—434no—
1371#125—434no—
1372#125—434no—
1373#125—434no—
1374#125—434no—
1375#124—434no—
1376#124—434no—
1377#124—434no—
1378#124—434no—
1379#124—434no—
1380#124—434no—
1381#124—434no—
1382#124—434no—
1383#124—434no—
1384#124—434no—
1385#124—434no—
1386#124—434no—
1387#124C22×D4314yescomplemented
1388#124C22×D4314yescomplemented
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#123—434no—
1430#123—434no—
1431#123—434no—
1432#123—434no—
1433#123—434no—
1434#123—434no—
1435#123—434no—
1436#123—434no—
1437#123—434no—
1438#123—434no—
1439#123—434no—
1440#123—434no—
1441#123—434no—
1442#123—434no—
1443#123—434no—
1444#123C22×D4314yes—
1445#123C22×D4314yes—
1446#123C22×D4314yescomplemented
1447#123C22×D4314yescomplemented
1448#123C22×D4314yescomplemented
1449C22⋊Q8—432no—
1450C22⋊Q8—432no—
1451C22⋊Q8—434no—
1452C22⋊Q8—434no—
1453C22⋊Q8—434no—
1454C22⋊Q8—432no—
1455C22⋊Q8—432no—
1456C22⋊Q8—432no—
1457C22⋊Q8—432no—
1458C22⋊Q8—434no—
1459C22⋊Q8—434no—
1460C22⋊Q8—434no—
1461C22⋊Q8—434no—
1462C22⋊Q8—434no—
1463C22⋊Q8—432no—
1464C22⋊Q8—434no—
1465C22⋊Q8—432no—
1466C22⋊Q8—434no—
1467C22⋊Q8—434no—
1468C22⋊Q8—434no—
1469C22⋊Q8—434no—
1470C22⋊Q8—434no—
1471C22⋊Q8—434no—
1472C22⋊Q8—434no—
1473C22⋊Q8—434no—
1474C22⋊Q8—434no—
1475C22⋊Q8—434no—
1476C22⋊Q8—434no—
1477C22⋊Q8—434no—
1478C22⋊Q8—434no—
1479C22⋊Q8—434no—
1480C22⋊Q8—434no—
1481C22⋊Q8—434no—
1482C22⋊Q8—434no—
1483C22⋊Q8—434no—
1484C22⋊Q8—434no—
1485C22⋊Q8—434no—
1486C22⋊Q8—434no—
1487C22⋊Q8C22×D4312yes—
1488C22⋊Q8C22×D4312yes—
1489C22⋊Q8C22×D4312yes—
1490C22⋊Q8C22×D4312yes—
1491C22⋊Q8C22×D4314yescomplemented
1492C22⋊Q8C22×D4314yescomplemented
1493#121—434no—
1494#121—432no—
1495#121—434no—
1496#121—432no—
1497#121—434no—
1498#121—434no—
1499#121—434no—
1500#121—434no—
1501#121—434no—
1502#121—434no—
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—432no—
1515#121—432no—
1516#121—432no—
1517#121—432no—
1518#121—434no—
1519#121—434no—
1520#121—434no—
1521#121—434no—
1522#121—432no—
1523#121—432no—
1524#121—434no—
1525#121—434no—
1526#121—434no—
1527#121—434no—
1528#121—434no—
1529#121—434no—
1530#121—434no—
1531#121—434no—
1532#121—434no—
1533#121—434no—
1534#121—434no—
1535#121C22×D4312yes—
1536#121C22×D4312yes—
1537#121C22×D4312yes—
1538#121C22×D4312yes—
1539#121C22×D4314yescomplemented
1540#121C22×D4314yescomplemented
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#120—434no—
1554#120—434no—
1555#120—434no—
1556#120—434no—
1557#120—434no—
1558#120—434no—
1559#120—434no—
1560#120C22×D4314yes—
1561#120C22×D4314yes—
1562#120C22×D4314yes—
1563#120C22×D4314yes—
1564#120C22×D4314yescomplemented
1565C4×Q8—434no—
1566C4×Q8—434no—
1567C4×Q8—434no—
1568C4×Q8—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×D4—434no—
1600C4×D4—434no—
1601C4×D4—434no—
1602C4×D4—434no—
1603C4×D4—434no—
1604C4×D4—434no—
1605C4×D4—434no—
1606C4×D4—434no—
1607C4×D4—434no—
1608C4×D4—434no—
1609C4×D4—434no—
1610C4×D4—434no—
1611C4×D4C22×D4314yes—
1612C4×D4C22×D4314yes—
1613C4×D4C22×D4314yes—
1614C4×D4C22×D4314yes—
1615C4×D4C22×D4314yescomplemented
1616C4×D4C22×D4314yescomplemented
1617#117—432no—
1618#117—434no—
1619#117—432no—
1620#117—434no—
1621#117—432no—
1622#117—432no—
1623#117—434no—
1624#117—434no—
1625#117—434no—
1626#117—434no—
1627#117—434no—
1628#117—434no—
1629#117—434no—
1630#117—434no—
1631#117—434no—
1632#117—434no—
1633#117—434no—
1634#117C22×D4312yes—
1635#117C22×D4312yes—
1636#117C22×D4314yescomplemented
1637C2×C4⋊C4—432no—
1638C2×C4⋊C4—432no—
1639C2×C4⋊C4—432no—
1640C2×C4⋊C4—432no—
1641C2×C4⋊C4—434no—
1642C2×C4⋊C4—434no—
1643C2×C4⋊C4—434no—
1644C2×C4⋊C4—432no—
1645C2×C4⋊C4—432no—
1646C2×C4⋊C4—434no—
1647C2×C4⋊C4—434no—
1648C2×C4⋊C4—432no—
1649C2×C4⋊C4—432no—
1650C2×C4⋊C4—434no—
1651C2×C4⋊C4—434no—
1652C2×C4⋊C4—434no—
1653C2×C4⋊C4—434no—
1654C2×C22⋊C4—432no—
1655C2×C22⋊C4—432no—
1656C2×C22⋊C4—432no—
1657C2×C22⋊C4—432no—
1658C2×C22⋊C4—434no—
1659C2×C22⋊C4—432no—
1660C2×C22⋊C4—432no—
1661C2×C22⋊C4—432no—
1662C2×C22⋊C4—434no—
1663C2×C22⋊C4—432no—
1664C2×C22⋊C4—432no—
1665C2×C22⋊C4—432no—
1666C2×C22⋊C4—432no—
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×C22⋊C4—434no—
1675C2×C22⋊C4—434no—
1676C2×C22⋊C4—434no—
1677C2×C22⋊C4C22×D4311yescharacteristic
1678C2×C22⋊C4C22×D4311yescharacteristic
1679C2×C22⋊C4C22×D4311yescharacteristic
1680C2×C22⋊C4C22×D4311yescharacteristic
1681C2×C22⋊C4C22×D4314yes—
1682C2×C22⋊C4C22×D4314yes—
1683C2×C22⋊C4C22×D4312yes—
1684C2×C22⋊C4C22×D4312yes—
1685C2×C22⋊C4C22×D4312yes—
1686C2×C22⋊C4C22×D4314yescomplemented
1687C2×C42—434no—
1688C24—42no—
1689C24—42no—
1690C24—42no—
1691C24—431no—
1692C24—432no—
1693C24—432no—
1694C24—434no—
1695C24—431no—
1696C24—432no—
1697C24—864no—
1698C24—1722no—
1699C24—1722no—
1700C24C23×D4311yescharacteristic
1701C24C23×D4311yescharacteristic
1702C24C23×D4312yes—
1703C24C23×D4312yes—
1704C24C23×D4311yescharacteristic
1705C24C23×D4312yes—
1706#41—44no—
1707#41—44no—
1708#41—1724no—
1709#41—1724no—
1710#41—1728no—
1711#41—1728no—
1712#41—1728no—
1713#41—1728no—
1714#41—1728no—
1715#41—1724no—
1716#41—1728no—
1717#41—1724no—
1718C2×Q8—432no—
1719C2×Q8—434no—
1720C2×Q8—432no—
1721C2×Q8—434no—
1722C2×Q8—434no—
1723C2×Q8—1724no—
1724C2×Q8C23×D4312yes—
1725C2×Q8C23×D4312yes—
1726C2×D4—44no—
1727C2×D4—44no—
1728C2×D4—44no—
1729C2×D4—434no—
1730C2×D4—434no—
1731C2×D4—434no—
1732C2×D4—434no—
1733C2×D4—434no—
1734C2×D4—434no—
1735C2×D4—434no—
1736C2×D4—434no—
1737C2×D4—434no—
1738C2×D4—434no—
1739C2×D4—434no—
1740C2×D4—434no—
1741C2×D4—434no—
1742C2×D4—434no—
1743C2×D4—434no—
1744C2×D4—434no—
1745C2×D4—434no—
1746C2×D4—432no—
1747C2×D4—434no—
1748C2×D4—434no—
1749C2×D4—432no—
1750C2×D4—8616no—
1751C2×D4—868no—
1752C2×D4—1724no—
1753C2×D4—1724no—
1754C2×D4—1728no—
1755C2×D4—1728no—
1756C2×D4—1728no—
1757C2×D4—1724no—
1758C2×D4—1724no—
1759C2×D4—1724no—
1760C2×D4—1724no—
1761C2×D4—1728no—
1762C2×D4—1724no—
1763C2×D4—1728no—
1764C2×D4C23×D4314yes—
1765C2×D4C23×D4314yes—
1766C2×D4C23×D4314yes—
1767C2×D4C23×D4314yes—
1768C2×D4C23×D4312yes—
1769C2×D4C23×D4314yes—
1770C2×D4C23×D4314yes—
1771C2×D4C23×D4312yes—
1772C22×C4—42no—
1773C22×C4—42no—
1774C22×C4—432no—
1775C22×C4—432no—
1776C22×C4—432no—
1777C22×C4—432no—
1778C22×C4—432no—
1779C22×C4—431no—
1780C22×C4—432no—
1781C22×C4—431no—
1782C22×C4—434no—
1783C22×C4—432no—
1784C22×C4—432no—
1785C22×C4—432no—
1786C22×C4—434no—
1787C22×C4—432no—
1788C22×C4—432no—
1789C22×C4—434no—
1790C22×C4—432no—
1791C22×C4—432no—
1792C22×C4—432no—
1793C22×C4—434no—
1794C22×C4—432no—
1795C22×C4—434no—
1796C22×C4—434no—
1797C22×C4—434no—
1798C22×C4—434no—
1799C22×C4—434no—
1800C22×C4—434no—
1801C22×C4—434no—
1802C22×C4—432no—
1803C22×C4—432no—
1804C22×C4—432no—
1805C22×C4—432no—
1806C22×C4—868no—
1807C22×C4—1724no—
1808C22×C4—1724no—
1809C22×C4—1724no—
1810C22×C4—1724no—
1811C22×C4—1724no—
1812C22×C4—1728no—
1813C22×C4—1722no—
1814C22×C4—1722no—
1815C22×C4—1722no—
1816C22×C4C23×D4312yes—
1817C22×C4C23×D4312yes—
1818C22×C4C23×D4311yescharacteristic
1819C22×C4C23×D4312yes—
1820C22×C4C23×D4311yescharacteristic
1821C22×C4C23×D4314yes—
1822C22×C4C23×D4311yescharacteristic
1823C22×C4C23×D4312yes—
1824C22×C4C23×D4311yescharacteristic
1825C22×C4C23×D4312yes—
1826C22×C4C23×D4312yes—
1827C22×C4C23×D4312yes—
1828C22×C4C23×D4314yes—
1829C4⋊C4—434no—
1830C4⋊C4—434no—
1831C4⋊C4—434no—
1832C4⋊C4—434no—
1833C4⋊C4—434no—
1834C4⋊C4—434no—
1835C4⋊C4—434no—
1836C4⋊C4—434no—
1837C4⋊C4—434no—
1838C4⋊C4—434no—
1839C4⋊C4—434no—
1840C4⋊C4—434no—
1841C4⋊C4—432no—
1842C4⋊C4—434no—
1843C4⋊C4—434no—
1844C4⋊C4—432no—
1845C4⋊C4—432no—
1846C4⋊C4—434no—
1847C4⋊C4—434no—
1848C4⋊C4—434no—
1849C4⋊C4—434no—
1850C4⋊C4—434no—
1851C4⋊C4—434no—
1852C4⋊C4—434no—
1853C4⋊C4—434no—
1854C4⋊C4—432no—
1855C4⋊C4—434no—
1856C4⋊C4—434no—
1857C4⋊C4—434no—
1858C4⋊C4—434no—
1859C4⋊C4—434no—
1860C4⋊C4—434no—
1861C4⋊C4—434no—
1862C4⋊C4—434no—
1863C4⋊C4C23×D4312yes—
1864C4⋊C4C23×D4314yes—
1865C4⋊C4C23×D4312yes—
1866C4⋊C4C23×D4312yes—
1867C4⋊C4C23×D4314yes—
1868C4⋊C4C23×D4312yes—
1869C4⋊C4C23×D4314yes—
1870C4⋊C4C23×D4314yes—
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⋊C4—434no—
1898C22⋊C4—434no—
1899C22⋊C4—434no—
1900C22⋊C4—434no—
1901C22⋊C4—434no—
1902C22⋊C4—434no—
1903C22⋊C4—434no—
1904C22⋊C4—434no—
1905C22⋊C4—434no—
1906C22⋊C4—434no—
1907C22⋊C4C23×D4314yes—
1908C22⋊C4C23×D4314yes—
1909C22⋊C4C23×D4314yes—
1910C22⋊C4C23×D4314yes—
1911C22⋊C4C23×D4314yes—
1912C22⋊C4C23×D4314yes—
1913C22⋊C4C23×D4314yes—
1914C22⋊C4C23×D4314yes—
1915C22⋊C4C23×D4314yes—
1916C22⋊C4C23×D4314yes—
1917C22⋊C4C23×D4314yes—
1918C22⋊C4C23×D4314yes—
1919C22⋊C4C23×D4314yes—
1920C22⋊C4C23×D4314yes—
1921C42—434no—
1922C42—434no—
1923C42—434no—
1924C42—434no—
1925C42—434no—
1926C42—434no—
1927C42—434no—
1928C42—434no—
1929C42C23×D4314yes—
1930C42C23×D4314yes—
1931C23—22no—
1932C23—22no—
1933C23—22no—
1934C23—24no—
1935C23—24no—
1936C23—22no—
1937C23—22no—
1938C23—41no—
1939C23—42no—
1940C23—41no—
1941C23—41no—
1942C23—42no—
1943C23—41no—
1944C23—42no—
1945C23—42no—
1946C23—42no—
1947C23—42no—
1948C23—42no—
1949C23—88no—
1950C23—432no—
1951C23—434no—
1952C23—432no—
1953C23—434no—
1954C23—868no—
1955C23—864no—
1956C23—864no—
1957C23—862no—
1958C23—864no—
1959C23—864no—
1960C23—1724no—
1961C23—1724no—
1962C23—1721no—
1963C23—1722no—
1964C23—1721no—
1965C23—1721no—
1966C23—1722no—
1967C23—1721no—
1968C23—1722no—
1969C23—1722no—
1970C23—1722no—
1971C23—17216no—
1972C23C24×D4312yes—
1973C23C24×D4312yes—
1974C23C24×D4314yes—
1975C23C24×D4311yescharacteristic
1976C23C24×D4311yescharacteristic
1977C23C24×D4311yescharacteristic
1978Q8—42no—
1979Q8—42no—
1980Q8—1722no—
1981Q8—1724no—
1982Q8—1724no—
1983Q8—1722no—
1984Q8—1724no—
1985D4—28no—
1986D4—28no—
1987D4—28no—
1988D4—44no—
1989D4—44no—
1990D4—44no—
1991D4—42no—
1992D4—42no—
1993D4—868no—
1994D4—868no—
1995D4—868no—
1996D4—868no—
1997D4—868no—
1998D4—868no—
1999D4—868no—
2000D4—1722no—
2001D4—1724no—
2002D4—1724no—
2003D4—1722no—
2004D4—1724no—
2005D4—1724no—
2006D4—1724no—
2007D4—1724no—
2008D4—1724no—
2009D4—1724no—
2010D4—1724no—
2011D4—1724no—
2012D4—1724no—
2013D4—1724no—
2014C2×C4—24no—
2015C2×C4—24no—
2016C2×C4—41no—
2017C2×C4—42no—
2018C2×C4—41no—
2019C2×C4—41no—
2020C2×C4—42no—
2021C2×C4—41no—
2022C2×C4—44no—
2023C2×C4—42no—
2024C2×C4—42no—
2025C2×C4—42no—
2026C2×C4—44no—
2027C2×C4—434no—
2028C2×C4—434no—
2029C2×C4—432no—
2030C2×C4—434no—
2031C2×C4—434no—
2032C2×C4—434no—
2033C2×C4—432no—
2034C2×C4—864no—
2035C2×C4—864no—
2036C2×C4—864no—
2037C2×C4—864no—
2038C2×C4—868no—
2039C2×C4—864no—
2040C2×C4—864no—
2041C2×C4—864no—
2042C2×C4—1722no—
2043C2×C4—1722no—
2044C2×C4—1722no—
2045C2×C4—1722no—
2046C2×C4—1724no—
2047C2×C4—1724no—
2048C2×C4—1724no—
2049C2×C4—1724no—
2050C2×C4—1724no—
2051C2×C4—1724no—
2052C2×C4—1724no—
2053C2×C4—1721no—
2054C2×C4—1722no—
2055C2×C4—1721no—
2056C2×C4—1722no—
2057C2×C4—1722no—
2058C2×C4—1724no—
2059C2×C4—1722no—
2060C2×C4—1722no—
2061C2×C4—1724no—
2062C2×C4—1722no—
2063C2×C4—1722no—
2064C2×C4—1722no—
2065C2×C4—1724no—
2066C2×C4C24×D4314yes—
2067C2×C4C24×D4314yes—
2068C2×C4C24×D4312yes—
2069C2×C4C24×D4312yes—
2070C2×C4C24×D4314yes—
2071C2×C4C24×D4312yes—
2072C2×C4C24×D4312yes—
2073C22—28no—
2074C22—21no—
2075C22—21no—
2076C22—21no—
2077C22—21no—
2078C22—21no—
2079C22—21no—
2080C22—24no—
2081C22—22no—
2082C22—22no—
2083C22—24no—
2084C22—22no—
2085C22—22no—
2086C22—22no—
2087C22—24no—
2088C22—22no—
2089C22—84no—
2090C22—84no—
2091C22—82no—
2092C22—82no—
2093C22—162no—
2094C22—434no—
2095C22—862no—
2096C22—862no—
2097C22—862no—
2098C22—864no—
2099C22—864no—
2100C22—862no—
2101C22—864no—
2102C22—862no—
2103C22—3448no—
2104C22—1724no—
2105C22—1728no—
2106C22—1728no—
2107C22—1724no—
2108C22—6882no—
2109C22H(5,𝔽2)×D4312yes—
2110C22#1458373412yes—
2111C22#1458373512yes—
2112C22C25×D4311yescharacteristic
2113C4—22no—
2114C4—22no—
2115C4—24no—
2116C4—22no—
2117C4—22no—
2118C4—24no—
2119C4—24no—
2120C4—862no—
2121C4—862no—
2122C4—864no—
2123C4—864no—
2124C4—864no—
2125C4—864no—
2126C4—864no—
2127C2—22no—
2128C2—22no—
2129C2—22no—
2130C2—42no—
2131C2—42no—
2132C2—44no—
2133C2—864no—
2134C2—1724no—
2135C2—1722no—
2136C2C2×H(5,𝔽2)×D4311yescharacteristic
2137C2C2×#1458373411yescharacteristic
2138C2C2×#1458373511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3490C2
hypercenter#3490D43
hypocenterC43#62820
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3490

Complements

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

NH ≅ G/Ntype
1. #19148809C2semidirect
2. #19148793C2semidirect
3. #19148791C2semidirect
4. #19148786C2semidirect
5. #19148782C2semidirect
6. #19148780C2semidirect
7. #19148767C2semidirect
8. #19148754C2semidirect
9. #19148532C2semidirect
10. #19148531C2semidirect
11. #19148524C2semidirect
12. #19148523C2semidirect
13. #19148301C2semidirect
14. #19148296C2semidirect
15. #19148286C2semidirect
16. #19148284C2semidirect
17. #19148282C2semidirect
18. #19148278C2semidirect
19. #19148232C2semidirect
20. #19148224C2semidirect
21. #525×D43C2semidirect
22. C22×#13063307C2semidirect
23. C43×#3490C2semidirect
24. C2×#13063370C22semidirect
25. C2×#41×D43C22semidirect
27. C23×C4×D43C22semidirect
28. #14583651C22semidirect
29. #14583650C22semidirect
30. #14583646C22semidirect
31. #14583645C22semidirect
32. #14583644C22semidirect
33. #14583643C22semidirect
34. #14583639C22semidirect
35. #14583638C22semidirect
36. #14583632C22semidirect
37. #14583631C22semidirect
38. #14583608C22semidirect
39. #14583607C22semidirect
40. #14583606C22semidirect
41. #14583603C22semidirect
42. #14583601C22semidirect
43. #14583598C22semidirect
44. #14583595C22semidirect
45. #14583595C22semidirect
46. #14583594C22semidirect
47. #14583593C22semidirect
48. #14583592C22semidirect
49. #14583592C22semidirect
50. #14583591C22semidirect
51. #14583589C22semidirect
52. #14583588C22semidirect
53. #14583586C22semidirect
54. #14583585C22semidirect
55. #14583585C22semidirect
56. #14583583C22semidirect
57. #14583582C22semidirect
58. #14583580C22semidirect
59. #14583580C22semidirect
60. #14583579C22semidirect
61. #14583578C22semidirect
62. #14583578C22semidirect
63. #14583577C22semidirect
64. #14583576C22semidirect
65. #14583575C22semidirect
66. #14583575C22semidirect
67. #14583575C22semidirect
68. #14583575C22semidirect
69. #14583575C22semidirect
70. #14583574C22semidirect
71. #14583573C22semidirect
72. #14583572C22semidirect
73. #14583572C22semidirect
74. #14583554C22semidirect
75. #14583553C22semidirect
76. #14583551C22semidirect
77. #14583549C22semidirect
78. #14583549C22semidirect
79. #14583548C22semidirect
80. #14583547C22semidirect
81. #14583547C22semidirect
82. #14583546C22semidirect
83. #14583544C22semidirect
84. #14583543C22semidirect
85. #14583543C22semidirect
86. #14583542C22semidirect
87. #14583541C22semidirect
88. #14583539C22semidirect
89. #14583539C22semidirect
90. #14583539C22semidirect
91. #14583539C22semidirect
92. #14583539C22semidirect
93. #14583538C22semidirect
94. #14583537C22semidirect
95. #14583536C22semidirect
96. #14583536C22semidirect
97. #14583536C22semidirect
98. #14583536C22semidirect
99. #14583536C22semidirect
100. D4×C22⋊D43C22semidirect
101. D4×C22⋊D43C22semidirect
102. #14583531C22semidirect
103. #14583531C22semidirect
104. #14583528C22semidirect
105. #14583527C22semidirect
106. #14583525C22semidirect
107. #14583525C22semidirect
108. #14583524C22semidirect
109. #14583522C22semidirect
110. #14583520C22semidirect
111. #14583517C22semidirect
112. #14583513C22semidirect
113. #14583502C22semidirect
114. #14583501C22semidirect
115. #14583500C22semidirect
116. #14583499C22semidirect
117. #14583498C22semidirect
118. #14583495C22semidirect
119. #14583495C22semidirect
120. #14583494C22semidirect
121. #14583493C22semidirect
122. #14583493C22semidirect
123. #14583493C22semidirect
124. #14583492C22semidirect
125. #14583492C22semidirect
126. #14583491C22semidirect
127. #14583491C22semidirect
128. #14583490C22semidirect
129. #14583490C22semidirect
130. #14583489C22semidirect
131. #14583488C22semidirect
132. #14583487C22semidirect
133. #14583487C22semidirect
134. #14583487C22semidirect
135. #14583486C22semidirect
136. #14583484C22semidirect
137. #14583484C22semidirect
138. #14583484C22semidirect
139. #14583483C22semidirect
140. #14583482C22semidirect
141. #14583477C22semidirect
142. #14583476C22semidirect
143. #14583472C22semidirect
144. #14583469C22semidirect
145. #14583464C22semidirect
146. #14583461C22semidirect
147. #14583461C22semidirect
149. #14583459C22semidirect
150. #14583458C22semidirect
151. #14583458C22semidirect
152. #14583457C22semidirect
153. #14583457C22semidirect
154. #14583432C22semidirect
155. #14583431C22semidirect
156. #14583428C22semidirect
157. #14583427C22semidirect
158. #14583412C22semidirect
159. #14583412C22semidirect
160. #14583411C22semidirect
161. #14583410C22semidirect
162. #14583410C22semidirect
163. #14583409C22semidirect
164. #14583409C22semidirect
165. #14583409C22semidirect
166. #14583408C22semidirect
167. #14583408C22semidirect
168. #14583408C22semidirect
169. #14583407C22semidirect
170. #14583406C22semidirect
171. #14583405C22semidirect
172. #14583405C22semidirect
173. #14583405C22semidirect
174. C2×#13063307C22semidirect
175. C2×#13063307C22semidirect
176. C2×#13063307C22semidirect
177. C2×#13063307C22semidirect
178. C2×#13063307C22semidirect
179. C2×#13063307C22semidirect
180. C2×#13063307C22semidirect
181. C2×#13063307C22semidirect
182. C2×#13063307C22semidirect
183. #123×D43C22semidirect
184. #123×D43C22semidirect
185. C22⋊Q8×D43C22semidirect
186. C22⋊Q8×D43C22semidirect
187. #121×D43C22semidirect
188. #121×D43C22semidirect
189. C2×#13063294C22semidirect
190. #120×D43C22semidirect
191. #14583382C22semidirect
192. #14583379C22semidirect
193. #14583378C22semidirect
194. #14583374C22semidirect
195. #14583372C22semidirect
196. #14583372C22semidirect
197. #14583372C22semidirect
198. #14583371C22semidirect
199. C4×D4×D43C22semidirect
200. C4×D4×D43C22semidirect
201. #117×D43C22semidirect
202. C22×C4⋊Dic43C22semidirect
203. C22×Dic43⋊C4C22semidirect
204. C22×C22⋊Dic43C22semidirect
205. C22×(C2×D43)⋊C4C22semidirect
206. C43×#551C22semidirect
207. C43×#551C22semidirect
208. C43×#546C22semidirect
209. C43×#546C22semidirect
210. C43×#543C22semidirect
211. C43×#538C22semidirect
212. C43×#538C22semidirect
213. C43×#534C22semidirect
214. C43×#525C22semidirect
215. C43×#525C22semidirect
216. C2×#120×C43C22semidirect
217. C43×#518C22semidirect
218. C22×C22⋊C4×C43C22semidirect
221. C2×#10621902C23semidirect
225. C2×#10621898C23semidirect
230. C2×#10621900C23semidirect
232. C2×Q8×D43C23semidirect
247. C2×D4×D43C23semidirect
258. C22×C4×D43C23semidirect
259. #13063325C23semidirect
260. #13063324C23semidirect
261. #13063324C23semidirect
262. #13063323C23semidirect
265. #13063320C23semidirect
266. #13063320C23semidirect
267. #13063320C23semidirect
268. #13063320C23semidirect
269. #13063320C23semidirect
270. #13063320C23semidirect
271. #13063319C23semidirect
272. #13063319C23semidirect
273. #13063318C23semidirect
274. #13063318C23semidirect
275. #13063318C23semidirect
276. #13063318C23semidirect
277. #13063318C23semidirect
278. #13063318C23semidirect
279. #13063318C23semidirect
280. #13063318C23semidirect
281. #13063318C23semidirect
282. #13063318C23semidirect
283. #13063317C23semidirect
284. #13063317C23semidirect
285. #13063316C23semidirect
286. #13063316C23semidirect
287. #13063316C23semidirect
288. #13063316C23semidirect
289. #13063315C23semidirect
290. #13063315C23semidirect
291. #13063315C23semidirect
292. #13063315C23semidirect
293. #13063315C23semidirect
294. #13063315C23semidirect
295. #13063314C23semidirect
296. #13063313C23semidirect
297. #13063312C23semidirect
298. #13063312C23semidirect
301. #13063311C23semidirect
302. #13063311C23semidirect
303. #13063311C23semidirect
304. #13063311C23semidirect
305. #13063311C23semidirect
306. #13063311C23semidirect
307. #13063310C23semidirect
308. #13063310C23semidirect
309. #13063310C23semidirect
310. #13063310C23semidirect
311. #13063310C23semidirect
312. #13063310C23semidirect
317. #13063309C23semidirect
318. #13063309C23semidirect
319. #13063309C23semidirect
320. #13063309C23semidirect
324. #13063308C23semidirect
325. #13063308C23semidirect
326. #13063308C23semidirect
345. #13063307C23semidirect
346. #13063307C23semidirect
347. #13063307C23semidirect
348. #13063307C23semidirect
349. #13063307C23semidirect
350. #13063307C23semidirect
351. #13063307C23semidirect
352. #13063307C23semidirect
353. #13063307C23semidirect
354. #13063307C23semidirect
358. #13063306C23semidirect
359. #13063306C23semidirect
360. #13063306C23semidirect
361. #13063306C23semidirect
362. #13063305C23semidirect
363. #13063305C23semidirect
364. #13063305C23semidirect
365. #13063305C23semidirect
366. #13063305C23semidirect
371. #13063304C23semidirect
372. #13063304C23semidirect
373. #13063304C23semidirect
374. #13063304C23semidirect
375. #13063303C23semidirect
376. #13063303C23semidirect
377. #13063303C23semidirect
378. #13063303C23semidirect
379. #13063303C23semidirect
380. #13063303C23semidirect
387. #13063302C23semidirect
388. #13063302C23semidirect
389. #13063302C23semidirect
390. #13063302C23semidirect
391. #13063302C23semidirect
392. #13063302C23semidirect
393. #13063302C23semidirect
394. #13063302C23semidirect
395. #13063301C23semidirect
396. #13063301C23semidirect
397. #13063301C23semidirect
398. #13063301C23semidirect
399. #13063301C23semidirect
400. #13063300C23semidirect
401. #13063300C23semidirect
402. #13063300C23semidirect
409. #13063299C23semidirect
410. #13063299C23semidirect
415. #13063298C23semidirect
416. #13063298C23semidirect
417. #13063298C23semidirect
418. #13063298C23semidirect
419. #13063298C23semidirect
420. #13063298C23semidirect
431. #13063297C23semidirect
432. #13063297C23semidirect
433. #13063297C23semidirect
434. #13063297C23semidirect
437. #13063296C23semidirect
438. #13063296C23semidirect
439. #13063296C23semidirect
440. #13063296C23semidirect
441. #13063296C23semidirect
446. #13063295C23semidirect
447. #13063295C23semidirect
453. #13063294C23semidirect
459. #13063293C23semidirect
460. #13063293C23semidirect
461. Q8×Dic43C23semidirect
462. C4×Dic86C23semidirect
463. C4×Dic86C23semidirect
464. #13063290C23semidirect
465. C4×D172C23semidirect
466. C4×D172C23semidirect
467. C4×D172C23semidirect
468. C4×D172C23semidirect
475. D4×Dic43C23semidirect
476. D4×Dic43C23semidirect
477. D4×Dic43C23semidirect
478. #13063287C23semidirect
479. #13063287C23semidirect
480. #13063287C23semidirect
487. C4×C22⋊D43C23semidirect
488. C4×C22⋊D43C23semidirect
489. C4×C22⋊D43C23semidirect
490. C4×C22⋊D43C23semidirect
491. C4×C22⋊D43C23semidirect
492. 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
509. #13063284C23semidirect
510. #13063284C23semidirect
511. #13063283C23semidirect
512. #13063283C23semidirect
513. #13063283C23semidirect
514. #13063283C23semidirect
515. #13063282C23semidirect
516. #13063282C23semidirect
517. #13063282C23semidirect
521. #13063281C23semidirect
522. #13063281C23semidirect
523. #13063281C23semidirect
529. C2×C4⋊Dic43C23semidirect
534. C2×Dic43⋊C4C23semidirect
535. C4⋊C4×D43C23semidirect
536. C4⋊C4×D43C23semidirect
537. C4⋊C4×D43C23semidirect
538. C4⋊C4×D43C23semidirect
539. C4⋊C4×D43C23semidirect
540. C4⋊C4×D43C23semidirect
549. C2×C22⋊Dic43C23semidirect
555. 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
573. #126×C43C23semidirect
574. #126×C43C23semidirect
575. #124×C43C23semidirect
576. #124×C43C23semidirect
579. #123×C43C23semidirect
580. #123×C43C23semidirect
581. #123×C43C23semidirect
586. C22⋊Q8×C43C23semidirect
587. C22⋊Q8×C43C23semidirect
592. #121×C43C23semidirect
593. #121×C43C23semidirect
598. #120×C43C23semidirect
603. C4×D4×C43C23semidirect
604. C4×D4×C43C23semidirect
607. #117×C43C23semidirect
617. C2×C22⋊C4×C43C23semidirect
1076. #3490D43semidirect
1143. #551C2×D43semidirect
1144. #551C2×D43semidirect
1171. #546C2×D43semidirect
1172. #546C2×D43semidirect
1182. #543C2×D43semidirect
1215. #538C2×D43semidirect
1216. #538C2×D43semidirect
1230. #534C2×D43semidirect
1251. #525C2×D43semidirect
1252. #525C2×D43semidirect
1270. C2×#120C2×D43semidirect
1279. #518C2×D43semidirect
1287. C22×C22⋊C4C2×D43semidirect
1288. C43#62820semidirect
1361. #126C22×D43semidirect
1362. #126C22×D43semidirect
1387. #124C22×D43semidirect
1388. #124C22×D43semidirect
1446. #123C22×D43semidirect
1447. #123C22×D43semidirect
1448. #123C22×D43semidirect
1491. C22⋊Q8C22×D43semidirect
1492. C22⋊Q8C22×D43semidirect
1539. #121C22×D43semidirect
1540. #121C22×D43semidirect
1564. #120C22×D43semidirect
1615. C4×D4C22×D43semidirect
1616. C4×D4C22×D43semidirect
1636. #117C22×D43semidirect
1686. C2×C22⋊C4C22×D43semidirect

Maximal subgroups

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

subgroupindex
#191488092
#191487932
#191487912
#191487862
#191487822
#191487802
#191487672
#191487542
#191485322
#191485312
#191485242
#191485232
#191483012
#191482962
#191482862
#191482842
#191482822
#191482782
#191482322
#191482242
#525×D432
C22×#130633072
C43×#34902
#6282043