Finite Group Databasebeta

← #25257555

Subgroups — #25257555

Order 11008.

2834 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583374C211yesmaximal, characteristic
2#19137533C214yesmaximal, complemented
3#19137522C214yesmaximal, complemented
4#19137457C214yesmaximal, complemented
5#19137446C214yesmaximal, complemented
6#19137221C214yesmaximal, complemented
7#19137207C211yesmaximal, characteristic, complemented
8#19137035C214yesmaximal, complemented
9C2×#14582779C211yesmaximal, characteristic
10C2×#14582771C211yesmaximal, characteristic, complemented
11#19136948C211yesmaximal, characteristic, complemented
12C2×C22⋊C4×Dic43C211yesmaximal, characteristic, complemented
13C43×#2308C211yesmaximal, characteristic
14C24×Dic43C2211yescharacteristic
15#14583374C4116yescomplemented
16C2×D4×Dic43C2214yes—
17C2×D4×Dic43C2214yes—
18C2×#13063284C2212yes—
19C2×#13063281C2214yescomplemented
20C22×Dic43⋊C4C2212yescomplemented
21C22×C22⋊Dic43C2211yescharacteristic
22C22×C22⋊Dic43C2212yes—
23C22×C22⋊Dic43C2211yescharacteristic
24C22×C22⋊Dic43C2211yescharacteristic
25C22×C22⋊Dic43C2212yes—
26C22×C4×Dic43C2212yescomplemented
27#14582793C2214yescomplemented
28#14582793C2214yescomplemented
29#14582787C2214yescomplemented
30#14582787C2214yescomplemented
31#14582784C2214yescomplemented
32#14582784C2214yescomplemented
33#14582782C2214yescomplemented
34#14582782C2214yescomplemented
35#14582779C2212yes—
36#14582779C2212yes—
37#14582779C2214yes—
38#14582772C2214yescomplemented
39#14582771C2214yes—
40#14582771C2214yes—
41#14582771C2212yescomplemented
42#14582771C2212yescomplemented
43#14582766C2214yescomplemented
44#14582763C2214yescomplemented
45#14582760C2214yescomplemented
46#14582757C2214yescomplemented
47#14582757C2214yescomplemented
48#14582750C2214yescomplemented
49C22⋊C4×Dic43C2214yes—
50C22⋊C4×Dic43C2214yes—
51C22⋊C4×Dic43C2214yescomplemented
52C22⋊C4×Dic43C2214yescomplemented
53C22⋊C4×Dic43C2214yescomplemented
54C4×C22⋊Dic43C2212yescomplemented
55C4×C22⋊Dic43C2212yescomplemented
56#14582744C2214yescomplemented
57C2×C43⋊#95C2212yes—
58C2×C43⋊#95C2212yescomplemented
59C2×C43⋊#95C2212yescomplemented
60C23×D4×C43C2211yescharacteristic
61C22×C22⋊C4×C43C2211yescharacteristic
62C22×C22⋊C4×C43C2211yescharacteristic
63C43×#386C2214yes—
64C43×#386C2212yes—
65C43×#386C2212yes—
66C43×#381C2212yes—
67C43×#379C2212yes—
68C23×Dic43—24no—
69C23×Dic43—44no—
70C23×Dic43C2311yescharacteristic
71C23×Dic43C2312yes—
72C23×Dic43C2312yes—
73C23×Dic43C2312yes—
74C23×Dic43C2311yescharacteristic
75C23×Dic43C2312yes—
76C23×Dic43C2312yes—
77C23×Dic43C2314yes—
78D4×Dic43C2×C4132yescomplemented
79D4×Dic43C2×C4132yescomplemented
80#13063284C2×C4116yescomplemented
81#13063281—48no—
82C2×C4⋊Dic43C2314yes—
83C2×Dic43⋊C4—44no—
84C2×Dic43⋊C4C2314yes—
85C2×Dic43⋊C4C2314yes—
86C2×Dic43⋊C4C2314yes—
87C2×Dic43⋊C4C2314yes—
88C2×C22⋊Dic43—24no—
89C2×C22⋊Dic43—44no—
90C2×C22⋊Dic43C2×C418yes—
91C2×C22⋊Dic43C2×C418yes—
92C2×C22⋊Dic43C2×C4116yescomplemented
93C2×C22⋊Dic43C2314yes—
94C2×C22⋊Dic43C2312yes—
95C2×C22⋊Dic43C2312yes—
96C2×C22⋊Dic43C2314yes—
97C2×C22⋊Dic43C2312yes—
98C2×C22⋊Dic43C2312yes—
99C2×C22⋊Dic43C2312yes—
100C2×C22⋊Dic43C2312yes—
101C2×C22⋊Dic43C2314yes—
102C2×C4×Dic43—44no—
103C2×C4×Dic43C2314yes—
104C2×C4×Dic43C2314yes—
105C2×C4×Dic43C2314yes—
106C2×C4×Dic43C2314yes—
107C2×C4×Dic43C2314yes—
108C43⋊#95C2314yes—
109C43⋊#95C2314yes—
110C43⋊#95C2314yes—
111C43⋊#95C2314yes—
112C43⋊#95C2314yes—
113C43⋊#95C2314yes—
114C43⋊#95C2314yes—
115C43⋊#95C2314yes—
116C43⋊#95C2314yes—
117C43⋊#95C2314yes—
118C25×C43C2311yescharacteristic
119C25×C43C2311yescharacteristic
120C22×D4×C43—24no—
121C22×D4×C43—24no—
122C22×D4×C43C2×C418yes—
123C22×D4×C43C2312yes—
124C22×D4×C43C2312yes—
125C23×C4×C43C2311yescharacteristic
126C23×C4×C43C2312yes—
127C23×C4×C43C2311yescharacteristic
128C23×C4×C43C2311yescharacteristic
129C2×C22⋊C4×C43—24no—
130C2×C22⋊C4×C43—24no—
131C2×C22⋊C4×C43C2312yes—
132C2×C22⋊C4×C43C2312yes—
133C2×C22⋊C4×C43C2312yes—
134C2×C22⋊C4×C43C2312yes—
135C2×C22⋊C4×C43C2314yes—
136C2×C22⋊C4×C43C2314yes—
137#95×C43C2314yes—
138#95×C43C2314yes—
139C24×C43—22no—
140C24×C43—22no—
141C24×C43—42no—
142C24×C43—42no—
143C24×C43—42no—
144C24×C43—42no—
145C24×C43C22×C414yes—
146C24×C43C22×C414yes—
147C24×C43#4114yes—
148C24×C43#4114yes—
149C24×C43C2412yes—
150C24×C43C2411yescharacteristic
151C24×C43C2411yescharacteristic
152C24×C43C2411yescharacteristic
153C2×D4×C43—232no—
154C2×D4×C43—24no—
155C2×D4×C43—24no—
156C2×D4×C43—24no—
157C2×D4×C43—24no—
158C2×D4×C43C22×C418yes—
159C2×D4×C43C22×C418yes—
160C22×C4×C43—22no—
161C22×C4×C43—22no—
162C22×C4×C43—24no—
163C22×C4×C43—22no—
164C22×C4×C43—22no—
165C22×C4×C43—42no—
166C22×C4×C43—42no—
167C22×C4×C43—42no—
168C22×C4×C43—42no—
169C22×C4×C43C22×C414yes—
170C22×C4×C43C2412yes—
171C22×C4×C43C2414yes—
172C22×C4×C43C2412yes—
173C22×C4×C43C2412yes—
174C22×Dic43—24no—
175C22×Dic43—24no—
176C22×Dic43—24no—
177C22×Dic43—22no—
178C22×Dic43—24no—
179C22×Dic43—22no—
180C22×Dic43—24no—
181C22×Dic43—24no—
182C22×Dic43—42no—
183C22×Dic43—42no—
184C22×Dic43—44no—
185C22×Dic43—42no—
186C22×Dic43—42no—
187C22×Dic43—42no—
188C22×Dic43—42no—
189C22×Dic43—42no—
190C22×Dic43—44no—
191C22×Dic43—42no—
192C22×Dic43—42no—
193C22×Dic43—416no—
194C22×Dic43C22×C418yes—
195C22×Dic43C22×C418yes—
196C22×Dic43C22×C4116yescomplemented
197C22×Dic43C2412yes—
198C22×Dic43C2414yes—
199C22×Dic43C2414yes—
200C22×Dic43C2414yes—
201C22×Dic43C2412yes—
202C22⋊C4×C43—24no—
203C22⋊C4×C43—24no—
204C22⋊C4×C43—24no—
205C22⋊C4×C43—24no—
206C22⋊C4×C43—44no—
207C22⋊C4×C43—44no—
208C22⋊Dic43—28no—
209C22⋊Dic43—24no—
210C22⋊Dic43—24no—
211C22⋊Dic43—44no—
212C22⋊Dic43C22×C418yes—
213C22⋊Dic43C22×C418yes—
214C22⋊Dic43C22×C418yes—
215C22⋊Dic43C22×C418yes—
216C22⋊Dic43C22×C4116yescomplemented
217C4⋊Dic43C22×C4116yescomplemented
218Dic43⋊C4—28no—
219Dic43⋊C4—44no—
220Dic43⋊C4—44no—
221Dic43⋊C4—44no—
222C4×Dic43—28no—
223C4×Dic43—44no—
224C4×Dic43—44no—
225C4×Dic43—44no—
226C4×Dic43C22×C4116yescomplemented
227C23×C43—22no—
228C23×C43—22no—
229C23×C43—22no—
230C23×C43—22no—
231C23×C43—22no—
232C23×C43—22no—
233C23×C43—22no—
234C23×C43—22no—
235C23×C43—24no—
236C23×C43—24no—
237C23×C43—28no—
238C23×C43—44no—
239C23×C43—48no—
240C23×C43—44no—
241C23×C43—48no—
242C23×C43—48no—
243C23×C43—82no—
244C23×C43—82no—
245C23×C43—84no—
246C23×C43#117116yescomplemented
247C23×C43C23×C414yes—
248C23×C43C23×C412yes—
249C23×C43C23×C412yes—
250C23×C43C23×C412yes—
251C23×C43C2×#4112yes—
252C23×C43C2×#4112yes—
253C23×C43C2×#4112yes—
254C23×C43C2×#4112yes—
255C23×C43C2×#4112yes—
256C23×C43C2×#4112yes—
257C23×C43C2511yescharacteristic
258D4×C43—216no—
259D4×C43—216no—
260C2×C4×C43—28no—
261C2×C4×C43—22no—
262C2×C4×C43—22no—
263C2×C4×C43—22no—
264C2×C4×C43—22no—
265C2×C4×C43—24no—
266C2×C4×C43—24no—
267C2×C4×C43—24no—
268C2×C4×C43—24no—
269C2×C4×C43—24no—
270C2×C4×C43—48no—
271C2×C4×C43—82no—
272C2×C4×C43—82no—
273C2×C4×C43C23×C414yes—
274C2×Dic43—28no—
275C2×Dic43—22no—
276C2×Dic43—24no—
277C2×Dic43—22no—
278C2×Dic43—24no—
279C2×Dic43—24no—
280C2×Dic43—24no—
281C2×Dic43—24no—
282C2×Dic43—22no—
283C2×Dic43—24no—
284C2×Dic43—22no—
285C2×Dic43—22no—
286C2×Dic43—24no—
287C2×Dic43—48no—
288C2×Dic43—48no—
289C2×Dic43—416no—
290C2×Dic43—48no—
291C2×Dic43—48no—
292C2×Dic43—44no—
293C2×Dic43—84no—
294C2×Dic43C23×C418yes—
295C2×Dic43C23×C418yes—
296C2×Dic43H(5,𝔽2)14yes—
297#34251—431nomaximal, Sylow
298C22×C43—24no—
299C22×C43—24no—
300C22×C43—24no—
301C22×C43—22no—
302C22×C43—22no—
303C22×C43—22no—
304C22×C43—22no—
305C22×C43—22no—
306C22×C43—22no—
307C22×C43—24no—
308C22×C43—24no—
309C22×C43—24no—
310C22×C43—24no—
311C22×C43—28no—
312C22×C43—416no—
313C22×C43—42no—
314C22×C43—42no—
315C22×C43—44no—
316C22×C43—88no—
317C22×C43C2×#11714yes—
318C22×C43C2×#11714yes—
319C22×C43C2×#11714yes—
320C22×C43C24×C411yescharacteristic
321C22×C43C22×#4111yescharacteristic
322C22×C43C22×#4111yescharacteristic
323C22×C43C2×H(5,𝔽2)12yes—
324C22×C43#58512yes—
325C4×C43—24no—
326C4×C43—42no—
327C4×C43—42no—
328C4×C43—44no—
329Dic43—28no—
330Dic43—28no—
331Dic43—24no—
332Dic43—42no—
333Dic43—44no—
334C2×#518—431no—
335#2353—434no—
336#2352—434no—
337#2343—434no—
338#2342—434no—
339#2318—434no—
340#2315—431no—
341#2308D4311yescharacteristic
342#2290—434no—
343C2×#386—431no—
344C2×#385—431no—
345#2273—431no—
346C2×C4×C22⋊C4—431no—
347C2×C43—24no—
348C2×C43—24no—
349C2×C43—24no—
350C2×C43—44no—
351C2×C43C22×#11711yescharacteristic
352C2×C43C4×H(5,𝔽2)12yes—
353C2×C43#349011yescharacteristic
354C2×C43#349111yescharacteristic
355C2×C43#350512yes—
356C23×D4C2×D4311yescharacteristic
357C24×C4—431no—
358#518—4316no—
359C2×C4×D4—434no—
360C2×C4×D4—434no—
361C2×#117—432no—
362C2×#117—434no—
363C22×C4⋊C4—432no—
364C22×C22⋊C4—431no—
365C22×C22⋊C4—432no—
366C22×C22⋊C4—431no—
367C22×C22⋊C4—431no—
368C22×C22⋊C4—432no—
369C22×C22⋊C4C2×D4311yescharacteristic
370C22×C22⋊C4C2×D4311yescharacteristic
371C22×C42—432no—
372#388—434no—
373#388—434no—
374#388—434no—
375#388—434no—
376#387—434no—
377#387—434no—
378#387—434no—
379#387—434no—
380#386—432no—
381#386—434no—
382#386—432no—
383#386C2×D4314yes—
384#386C2×D4312yes—
385#386C2×D4312yes—
386#385—434no—
387#385—434no—
388#385—432no—
389#385—434no—
390#385—432no—
391#383—434no—
392#382—434no—
393#381—434no—
394#381C2×D4312yes—
395#380—434no—
396#380—434no—
397#379C2×D4312yes—
398C4×C4⋊C4—434no—
399C4×C22⋊C4—432no—
400C4×C22⋊C4—432no—
401C4×C22⋊C4—434no—
402C4×C22⋊C4—434no—
403C4×C22⋊C4—434no—
404C4×C22⋊C4—434no—
405C4×C22⋊C4—434no—
406#376—434no—
407C2×#95—432no—
408C2×#95—432no—
409C2×#95—432no—
410C43#3425111yescharacteristic, complemented, Sylow
411C25C22×D4311yescharacteristic
412C25C22×D4311yescharacteristic
413C22×D4—24no—
414C22×D4—24no—
415C22×D4C4×D4318yes—
416C22×D4C22×D4312yes—
417C22×D4C22×D4312yes—
418C23×C4—432no—
419C23×C4—434no—
420C23×C4—432no—
421C23×C4—431no—
422C23×C4—432no—
423C23×C4—432no—
424C23×C4—432no—
425C23×C4—431no—
426C23×C4—864no—
427C23×C4—1724no—
428C23×C4C22×D4311yescharacteristic
429C23×C4C22×D4311yescharacteristic
430C23×C4C22×D4311yescharacteristic
431C23×C4C22×D4312yes—
432C4×D4—4332no—
433C4×D4—4332no—
434#117—4316no—
435#117—1728no—
436C2×C4⋊C4—434no—
437C2×C4⋊C4—434no—
438C2×C4⋊C4—434no—
439C2×C4⋊C4—434no—
440C2×C4⋊C4—434no—
441C2×C4⋊C4—1724no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—24no—
444C2×C22⋊C4—438no—
445C2×C22⋊C4—438no—
446C2×C22⋊C4—4316no—
447C2×C22⋊C4—432no—
448C2×C22⋊C4—432no—
449C2×C22⋊C4—432no—
450C2×C22⋊C4—432no—
451C2×C22⋊C4—434no—
452C2×C22⋊C4—434no—
453C2×C22⋊C4—432no—
454C2×C22⋊C4—432no—
455C2×C22⋊C4—434no—
456C2×C22⋊C4—864no—
457C2×C22⋊C4—1724no—
458C2×C22⋊C4C22×D4312yes—
459C2×C22⋊C4C22×D4312yes—
460C2×C22⋊C4C22×D4312yes—
461C2×C22⋊C4C22×D4312yes—
462C2×C22⋊C4C22×D4314yes—
463C2×C22⋊C4C22×D4314yes—
464C2×C42—434no—
465C2×C42—434no—
466C2×C42—434no—
467C2×C42—434no—
468C2×C42—434no—
469C2×C42—1724no—
470#95—434no—
471#95—434no—
472#95—434no—
473#95—434no—
474#95—434no—
475#95—434no—
476#95—434no—
477#95—434no—
478#95—434no—
479#95—434no—
480#95C22×D4314yes—
481#95C22×D4314yes—
482C24—22no—
483C24—22no—
484C24—42no—
485C24—42no—
486C24—42no—
487C24—42no—
488C24C2×C4×D4314yes—
489C24C2×C4×D4314yes—
490C24#1062190014yes—
491C24#1062190014yes—
492C24C23×D4312yes—
493C24C23×D4311yescharacteristic
494C24C23×D4311yescharacteristic
495C24C23×D4311yescharacteristic
496C2×D4—232no—
497C2×D4—24no—
498C2×D4—24no—
499C2×D4—24no—
500C2×D4—24no—
501C2×D4C2×C4×D4318yes—
502C2×D4C2×C4×D4318yes—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—434no—
513C22×C4—432no—
514C22×C4—434no—
515C22×C4—438no—
516C22×C4—438no—
517C22×C4—4316no—
518C22×C4—432no—
519C22×C4—434no—
520C22×C4—864no—
521C22×C4—864no—
522C22×C4—864no—
523C22×C4—862no—
524C22×C4—864no—
525C22×C4—864no—
526C22×C4—864no—
527C22×C4—862no—
528C22×C4—1722no—
529C22×C4—1722no—
530C22×C4—1722no—
531C22×C4—1722no—
532C22×C4—1724no—
533C22×C4—1722no—
534C22×C4—1722no—
535C22×C4—1722no—
536C22×C4—1722no—
537C22×C4—1724no—
538C22×C4—1722no—
539C22×C4—17216no—
540C22×C4C2×C4×D4314yes—
541C22×C4C23×D4312yes—
542C22×C4C23×D4314yes—
543C22×C4C23×D4312yes—
544C22×C4C23×D4312yes—
545C4⋊C4—4316no—
546C4⋊C4—868no—
547C4⋊C4—1724no—
548C4⋊C4—1724no—
549C4⋊C4—1724no—
550C22⋊C4—24no—
551C22⋊C4—24no—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C22⋊C4—44no—
555C22⋊C4—44no—
556C22⋊C4—438no—
557C22⋊C4—438no—
558C22⋊C4—438no—
559C22⋊C4—438no—
560C22⋊C4—4316no—
561C22⋊C4—868no—
562C22⋊C4—864no—
563C22⋊C4—864no—
564C22⋊C4—1724no—
565C42—4316no—
566C42—868no—
567C42—1724no—
568C42—1724no—
569C42—1724no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—24no—
579C23—24no—
580C23—28no—
581C23—44no—
582C23—48no—
583C23—44no—
584C23—48no—
585C23—48no—
586C23—82no—
587C23—84no—
588C23—82no—
589C23#13063281116yescomplemented
590C23C22×C4×D4314yes—
591C23C22×C4×D4312yes—
592C23C22×C4×D4312yes—
593C23C22×C4×D4312yes—
594C23C2×#1062190012yes—
595C23C2×#1062190012yes—
596C23C2×#1062190012yes—
597C23C2×#1062190012yes—
598C23C2×#1062190012yes—
599C23C2×#1062190012yes—
600C23C24×D4311yescharacteristic
601D4—216no—
602D4—216no—
603C2×C4—28no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—22no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—48no—
614C2×C4—82no—
615C2×C4—82no—
616C2×C4—438no—
617C2×C4—438no—
618C2×C4—434no—
619C2×C4—868no—
620C2×C4—862no—
621C2×C4—864no—
622C2×C4—862no—
623C2×C4—864no—
624C2×C4—864no—
625C2×C4—864no—
626C2×C4—864no—
627C2×C4—862no—
628C2×C4—864no—
629C2×C4—862no—
630C2×C4—862no—
631C2×C4—864no—
632C2×C4—3444no—
633C2×C4—1728no—
634C2×C4—1728no—
635C2×C4—17216no—
636C2×C4—1728no—
637C2×C4—1728no—
638C2×C4—1724no—
639C2×C4C22×C4×D4314yes—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—24no—
644C22—24no—
645C22—24no—
646C22—24no—
647C22—24no—
648C22—24no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—28no—
653C22—24no—
654C22—416no—
655C22—42no—
656C22—44no—
657C22—42no—
658C22—88no—
659C22C2×#1306328114yes—
660C22C2×#1306328114yes—
661C22C2×#1306328114yes—
662C22C23×C4×D4311yescharacteristic
663C22C22×#1062190011yescharacteristic
664C22C22×#1062190011yescharacteristic
665C22H(5,𝔽2)×D4312yes—
666C22#1458373412yes—
667C4—24no—
668C4—42no—
669C4—44no—
670C4—42no—
671C4—868no—
672C4—868no—
673C4—864no—
674C4—1724no—
675C4—1722no—
676C2—24no—
677C2—24no—
678C2—24no—
679C2—44no—
680C2C22×#1306328111yescharacteristic
681C2#1914779912yes—
682C2#1914828311yescharacteristic
683C2#1914829211yescharacteristic
684C2#1914843212yes—
subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingC43×#2308C2
socle, cosocleC23×C43C25
prime radicalC23×D4×C43C22
hypercenter#2308D43
hypocenterC43#34251
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2308

Complements

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

NH ≅ G/Ntype
2. #19137533C2semidirect
3. #19137522C2semidirect
4. #19137457C2semidirect
5. #19137446C2semidirect
6. #19137221C2semidirect
7. #19137207C2semidirect
8. #19137035C2semidirect
10. C2×#14582771C2semidirect
11. #19136948C2semidirect
12. C2×C22⋊C4×Dic43C2semidirect
15. #14583374C4semidirect
19. C2×#13063281C22semidirect
20. C22×Dic43⋊C4C22semidirect
26. C22×C4×Dic43C22semidirect
27. #14582793C22semidirect
28. #14582793C22semidirect
29. #14582787C22semidirect
30. #14582787C22semidirect
31. #14582784C22semidirect
32. #14582784C22semidirect
33. #14582782C22semidirect
34. #14582782C22semidirect
38. #14582772C22semidirect
41. #14582771C22semidirect
42. #14582771C22semidirect
43. #14582766C22semidirect
44. #14582763C22semidirect
45. #14582760C22semidirect
46. #14582757C22semidirect
47. #14582757C22semidirect
48. #14582750C22semidirect
51. C22⋊C4×Dic43C22semidirect
52. C22⋊C4×Dic43C22semidirect
53. C22⋊C4×Dic43C22semidirect
54. C4×C22⋊Dic43C22semidirect
55. C4×C22⋊Dic43C22semidirect
56. #14582744C22semidirect
58. C2×C43⋊#95C22semidirect
59. C2×C43⋊#95C22semidirect
78. D4×Dic43C2×C4semidirect
79. D4×Dic43C2×C4semidirect
80. #13063284C2×C4semidirect
92. C2×C22⋊Dic43C2×C4semidirect
196. C22×Dic43C22×C4semidirect
216. C22⋊Dic43C22×C4semidirect
217. C4⋊Dic43C22×C4semidirect
226. C4×Dic43C22×C4semidirect
246. C23×C43#117semidirect
410. C43#34251semidirect
589. C23#13063281semidirect

Maximal subgroups

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

subgroupindex
C2×#145833742
#191375332
#191375222
#191374572
#191374462
#191372212
#191372072
#191370352
C2×#145827792
C2×#145827712
#191369482
C2×C22⋊C4×Dic432
C43×#23082
#3425143