Finite Group Databasebeta

← #25062795

Subgroups — #25062795

Order 11008.

1046 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583578C211yesmaximal, characteristic
2#19143254C212yesmaximal, complemented
3#19132965C212yesmaximal, complemented
4#19132945C212yesmaximal, complemented
5#19132940C212yesmaximal, complemented
6#19132926C211yesmaximal, characteristic, complemented
7#19132920C211yesmaximal, characteristic, complemented
8#19132916C211yesmaximal, characteristic, complemented
9#19132906C211yesmaximal, characteristic, complemented
10#323×D43C211yesmaximal, characteristic, complemented
11C43×#1466C211yesmaximal, characteristic, complemented
12#14583578—22no—
13#14583578—22no—
14#14583578—22no—
15#14583578—22no—
16C2×#13063320C411yescharacteristic
17C2×#13063319C2211yescharacteristic
18C2×#13063311C2211yescharacteristic
19C2×#13063308C411yescharacteristic
20C2×#13063307C2211yescharacteristic
21C2×#13063306C411yescharacteristic
22C2×#13063304C411yescharacteristic
23C2×#13063303C411yescharacteristic
24C2×#13063293C411yescharacteristic
25C2×C4×C22⋊D43C411yescharacteristic
26C2×#13063282C2211yescharacteristic
27C2×#13063281C2211yescharacteristic
28C22×(C2×D43)⋊C4C411yescharacteristic
29C2×C22⋊C4×D43C2211yescharacteristic
30#14582961—22no—
31#14582959—22no—
32#14582953C2212yescomplemented
33#14582952C2212yescomplemented
34#14582949C2212yescomplemented
35#14582924—22no—
36#14582861C2212yes—
37C22⋊C8×D43C2212yes—
38#14582856—22no—
39#14582624C2212yescomplemented
40#14582624C2212yescomplemented
41#14582623C2211yescharacteristic
42#14582623C2211yescharacteristic
43#14582623C2212yescomplemented
44#14582622C2212yes—
45#14582622C2212yes—
46C2×C4×D4×C43C2211yescharacteristic
47C43×#432C2212yescomplemented
48C43×#323C2211yescharacteristic
49C43×#323C2211yescharacteristic
50C43×#323C2212yescomplemented
51C24×D43C2×C411yescharacteristic
52C22×Dic86C2×C411yescharacteristic
53C22×C22⋊D43C2×C411yescharacteristic
54C22×C22⋊D43C2×C411yescharacteristic
55C23×Dic43C2×C411yescharacteristic
56C22×C4×D43C2×C411yescharacteristic
57C22×C4×D43C2311yescharacteristic
58C2×#10621872—22no—
59C2×C8×D43—22no—
60#13063320—22no—
61#13063320—22no—
62#13063319—22no—
63#13063319—22no—
64#13063311—22no—
65#13063311—22no—
66#13063308—22no—
67#13063308—22no—
68#13063307—22no—
69#13063307—22no—
70#13063306—22no—
71#13063306—22no—
72#13063304—22no—
73#13063304—22no—
74#13063303—22no—
75#13063303—22no—
76#13063293—22no—
77#13063293—22no—
78C4×C22⋊D43—21no—
79C4×C22⋊D43—21no—
80C4×C22⋊D43—21no—
81C4×C22⋊D43—21no—
82#13063282D412yes—
83#13063282D412yes—
84#13063282D412yes—
85#13063282D412yes—
86#13063281—22no—
87#13063281—22no—
88C2×C4⋊Dic43C2×C411yescharacteristic
89C2×Dic43⋊C4C2×C411yescharacteristic
90C2×Dic43⋊C4C2×C411yescharacteristic
91C2×Dic43⋊C4C2×C411yescharacteristic
92C2×Dic43⋊C4C2×C411yescharacteristic
93C2×Dic43⋊C4C2×C411yescharacteristic
94C2×Dic43⋊C4C2311yescharacteristic
95C2×C22⋊Dic43C2×C411yescharacteristic
96C2×C22⋊Dic43C2×C411yescharacteristic
97C2×C22⋊Dic43C2×C411yescharacteristic
98C2×C22⋊Dic43C2×C411yescharacteristic
99C2×(C2×D43)⋊C4—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×(C2×D43)⋊C4—21no—
103C2×(C2×D43)⋊C4C2×C411yescharacteristic
104C2×(C2×D43)⋊C4C2×C411yescharacteristic
105C2×(C2×D43)⋊C4C2×C411yescharacteristic
106C2×(C2×D43)⋊C4C2×C411yescharacteristic
107C2×(C2×D43)⋊C4C2×C411yescharacteristic
108C2×(C2×D43)⋊C4C2×C411yescharacteristic
109C2×(C2×D43)⋊C4C2×C411yescharacteristic
110C2×(C2×D43)⋊C4C2311yescharacteristic
111C22⋊C4×D43—22no—
112C22⋊C4×D43—22no—
113C2×C4×Dic43C2×C411yescharacteristic
114C2×C4×Dic43C2311yescharacteristic
115C4⋊(C43⋊C8)—22no—
116Dic43⋊C8—22no—
117Dic43⋊C8—22no—
118C22⋊(C43⋊C8)C2312yes—
119C22⋊(C43⋊C8)C2312yes—
120(C2×D43)⋊C8—22no—
121(C2×D43)⋊C8—22no—
122#13063235—22no—
123C4×C43⋊C8—22no—
124C8×Dic43—22no—
125C22×D4×C43C2×C411yescharacteristic
126C23×C4×C43C2×C411yescharacteristic
127C23×C4×C43C2×C411yescharacteristic
128C4×D4×C43—22no—
129C4×D4×C43—22no—
130C2×C4⋊C4×C43C2×C411yescharacteristic
131C2×C22⋊C4×C43C2311yescharacteristic
132C2×C22⋊C4×C43C2311yescharacteristic
133C2×C42×C43C2311yescharacteristic
134C4⋊C8×C43—22no—
135C22⋊C8×C43C2312yes—
136C22⋊C8×C43C2312yes—
137#97×C43—22no—
138C24×C43C22×C411yescharacteristic
139C24×C43C22×C411yescharacteristic
140C23×D43—22no—
141C23×D43—21no—
142C23×D43—21no—
143C23×D43—41no—
144C23×D43—42no—
145C23×D43—81no—
146C23×D43C22×C411yescharacteristic
147C23×D43C22×C411yescharacteristic
148C2×D4×C43—22no—
149C2×D4×C43—22no—
150C2×D4×C43—41no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—81no—
156C22×C4×C43—81no—
157C22×C4×C43C22×C411yescharacteristic
158C22×C4×C43C22×C411yescharacteristic
159C22×C4×C43C22×C411yescharacteristic
160C22×C4×C43C22×C411yescharacteristic
161C22×C4×C43C2411yescharacteristic
162C2×C22⋊D43—22no—
163C2×C22⋊D43—21no—
164C2×C22⋊D43—21no—
165C2×C22⋊D43—42no—
166C2×C22⋊D43—81no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—22no—
170C22×Dic43—41no—
171C22×Dic43C22×C411yescharacteristic
172C22×Dic43C22×C411yescharacteristic
173C22×Dic43C22×C411yescharacteristic
174C22×Dic43C22×C411yescharacteristic
175C22×Dic43C22×C411yescharacteristic
176C22×Dic43C22×C411yescharacteristic
177C2×C4×D43—21no—
178C2×C4×D43—21no—
179C2×C4×D43—42no—
180C2×C4×D43—81no—
181C2×C4×D43C2×D412yes—
182C2×C4×D43C2×D412yes—
183C2×Dic86—22no—
184C2×Dic86—81no—
185C2×C8×C43—22no—
186C2×C8×C43—22no—
187C4⋊C4×C43—22no—
188C22⋊C4×C43—22no—
189C22⋊C4×C43—22no—
190C42×C43C2×D412yes—
191C42×C43C2×D412yes—
192C22⋊Dic43—22no—
193C22⋊Dic43—22no—
194C22⋊Dic43—21no—
195C22⋊Dic43—21no—
196C22⋊Dic43—22no—
197(C2×D43)⋊C4—21no—
198(C2×D43)⋊C4—21no—
199(C2×D43)⋊C4—22no—
200(C2×D43)⋊C4—22no—
201(C2×D43)⋊C4—22no—
202(C2×D43)⋊C4—21no—
203(C2×D43)⋊C4—21no—
204(C2×D43)⋊C4—21no—
205(C2×D43)⋊C4—21no—
206(C2×D43)⋊C4C22⋊C411yescharacteristic
207(C2×D43)⋊C4C22⋊C411yescharacteristic
208(C2×D43)⋊C4C22⋊C411yescharacteristic
209(C2×D43)⋊C4C22⋊C411yescharacteristic
210(C2×D43)⋊C4C22⋊C412yes—
211(C2×D43)⋊C4C22⋊C412yes—
212C4⋊Dic43—22no—
213Dic43⋊C4—21no—
214Dic43⋊C4—21no—
215Dic43⋊C4—22no—
216Dic43⋊C4—22no—
217Dic43⋊C4—22no—
218Dic43⋊C4C22⋊C412yes—
219Dic43⋊C4C22⋊C412yes—
220Dic43⋊C4C22⋊C412yes—
221Dic43⋊C4C22⋊C412yes—
222C4×Dic43—21no—
223C4×Dic43—21no—
224C4×Dic43C2×D412yes—
225C4×Dic43C2×D412yes—
226C2×C43⋊C8—22no—
227C2×C43⋊C8—22no—
228#10621872—44no—
229C8×D43—44no—
230C23×C43—21no—
231C23×C43—21no—
232C23×C43—21no—
233C23×C43—21no—
234C23×C43—21no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43—41no—
238C23×C43—41no—
239C23×C43#13112yes—
240C23×C43C23×C411yescharacteristic
241C22×D43—21no—
242C22×D43—21no—
243C22×D43—22no—
244C22×D43—21no—
245C22×D43—21no—
246C22×D43—21no—
247C22×D43—41no—
248C22×D43—42no—
249C22×D43—42no—
250C22×D43—42no—
251C22×D43—42no—
252C22×D43—41no—
253C22×D43—41no—
254C22×D43—81no—
255C22×D43—81no—
256C22×D43—84no—
257C22×D43—84no—
258C22×D43C2×C22⋊C411yescharacteristic
259C22×D43C2×C22⋊C411yescharacteristic
260D4×C43—44no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—81no—
270C2×C4×C43—81no—
271C2×C4×C43—81no—
272C2×C4×C43—81no—
273C2×C4×C43C2×C22⋊C412yes—
274C2×C4×C43C2×C22⋊C411yescharacteristic
275C2×C4×C43C2×C22⋊C411yescharacteristic
276C2×C4×C43C22×D412yes—
277C22⋊D43—42no—
278C22⋊D43—42no—
279C22⋊D43—82no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—42no—
290C2×Dic43—42no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43C2×C22⋊C411yescharacteristic
294C2×Dic43C2×C22⋊C411yescharacteristic
295C2×Dic43C2×C22⋊C412yes—
296C2×Dic43C2×C22⋊C412yes—
297C4×D43—24no—
298C4×D43—42no—
299C4×D43—81no—
300C4×D43—81no—
301Dic86—82no—
302C8×C43—42no—
303C8×C43—42no—
304C43⋊C8—42no—
305C43⋊C8—42no—
306#17412—431nomaximal, Sylow
307C22×C43—21no—
308C22×C43—21no—
309C22×C43—22no—
310C22×C43—42no—
311C22×C43—42no—
312C22×C43—41no—
313C22×C43—41no—
314C22×C43—41no—
315C22×C43—41no—
316C22×C43—41no—
317C22×C43—81no—
318C22×C43—81no—
319C22×C43C22×C22⋊C411yescharacteristic
320C22×C43C2×#13111yescharacteristic
321C22×C43#56811yescharacteristic
322C2×D43—21no—
323C2×D43—21no—
324C2×D43—21no—
325C2×D43—21no—
326C2×D43—21no—
327C2×D43—42no—
328C2×D43—42no—
329C2×D43—41no—
330C2×D43—41no—
331C2×D43—41no—
332C2×D43—84no—
333C2×D43—84no—
334C2×D43—81no—
335C2×D43—81no—
336C2×D43#41012yes—
337C4×C43—22no—
338C4×C43—22no—
339C4×C43—21no—
340C4×C43—21no—
341C4×C43—41no—
342C4×C43—41no—
343Dic43—21no—
344Dic43—21no—
345Dic43—22no—
346Dic43—22no—
347Dic43—41no—
348Dic43—41no—
349Dic43—41no—
350C2×#551—431no—
351#2924—432no—
352#1473—432no—
353#1469—432no—
354#1468—432no—
355#1466D4311yescharacteristic, complemented
356#1464—431no—
357#1462—431no—
358#1460—431no—
359#1458—431no—
360C2×#323—431no—
361C2×C43—21no—
362C2×C43—21no—
363C2×C43—42no—
364C2×C43—81no—
365C2×C43#288011yescharacteristic
366C2×C43C2×#41011yescharacteristic
367C2×C43#288811yescharacteristic
368D43—22no—
369D43—41no—
370D43—81no—
371#551—862no—
372#551—862no—
373#551—862no—
374#551—862no—
375C2×#126—431no—
376C2×#126—431no—
377C2×#124—431no—
378C2×#123—431no—
379C2×#123—431no—
380C2×#123—431no—
381C2×C22⋊Q8—431no—
382C2×C22⋊Q8—431no—
383C2×#120—431no—
384C2×C4×D4—431no—
385C2×C4×D4C2×D4311yescharacteristic
386C2×#117—431no—
387C2×#117—431no—
388C22×C22⋊C4—431no—
389C22×C22⋊C4—431no—
390#433—862no—
391#433—862no—
392#432—432no—
393#432C2×D4312yescomplemented
394#431—432no—
395#431—432no—
396#424—862no—
397#407—432no—
398C2×C22⋊C8—432no—
399#405—862no—
400#324—432no—
401#324—432no—
402#323—431no—
403#323—431no—
404#323—432no—
405#323—432no—
406#323—432no—
407#323C2×D4311yescharacteristic
408#323C2×D4311yescharacteristic
409#323C2×D4312yescomplemented
410C43#1741211yescharacteristic, complemented, Sylow
411C25—431no—
412C22×Q8—431no—
413C22×D4—431no—
414C22×D4—431no—
415C22×D4C4×D4311yescharacteristic
416C23×C4—431no—
417C23×C4—431no—
418C23×C4—431no—
419C23×C4C4×D4311yescharacteristic
420C23×C4C4×D4311yescharacteristic
421C2×M16—862no—
422C22×C8—862no—
423#126—862no—
424#126—862no—
425#126—862no—
426#126—862no—
427#124—862no—
428#124—862no—
429#123—862no—
430#123—862no—
431#123—862no—
432#123—862no—
433#123—862no—
434#123—862no—
435C22⋊Q8—862no—
436C22⋊Q8—862no—
437C22⋊Q8—862no—
438C22⋊Q8—862no—
439#120—862no—
440#120—862no—
441C4×D4—22no—
442C4×D4—22no—
443C4×D4—861no—
444C4×D4—861no—
445C4×D4—861no—
446C4×D4—861no—
447#117—432no—
448#117—432no—
449#117—432no—
450#117—432no—
451#117—862no—
452#117—862no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—431no—
457C2×C4⋊C4—431no—
458C2×C4⋊C4—431no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4C4×D4311yescharacteristic
461C2×C22⋊C4—431no—
462C2×C22⋊C4—431no—
463C2×C22⋊C4—431no—
464C2×C22⋊C4—431no—
465C2×C22⋊C4—431no—
466C2×C22⋊C4—431no—
467C2×C22⋊C4—431no—
468C2×C22⋊C4—431no—
469C2×C22⋊C4—431no—
470C2×C22⋊C4—431no—
471C2×C22⋊C4—431no—
472C2×C22⋊C4—431no—
473C2×C22⋊C4—862no—
474C2×C22⋊C4—862no—
475C2×C22⋊C4—861no—
476C2×C22⋊C4—861no—
477C2×C22⋊C4—861no—
478C2×C22⋊C4—861no—
479C2×C22⋊C4C22×D4311yescharacteristic
480C2×C22⋊C4C22×D4311yescharacteristic
481C2×C42—431no—
482C2×C42—431no—
483C2×C42C22×D4311yescharacteristic
484C4⋊C8—22no—
485C4⋊C8—862no—
486C4⋊C8—862no—
487C4⋊C8—862no—
488C22⋊C8—432no—
489C22⋊C8—432no—
490C22⋊C8—862no—
491C22⋊C8—862no—
492C22⋊C8C22×D4312yes—
493C22⋊C8C22×D4312yes—
494#97—22no—
495#97—862no—
496C4×C8—862no—
497C4×C8—862no—
498C24—431no—
499C24—431no—
500C24—861no—
501C24—861no—
502C24—862no—
503C24—3441no—
504C24—1721no—
505C24—1722no—
506C24C2×C4×D4311yescharacteristic
507C24C2×C4×D4311yescharacteristic
508C2×Q8—862no—
509C2×Q8—3441no—
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—41no—
513C2×D4—862no—
514C2×D4—861no—
515C2×D4—861no—
516C2×D4—3441no—
517C2×D4—1722no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—81no—
523C22×C4—81no—
524C22×C4—431no—
525C22×C4—431no—
526C22×C4—431no—
527C22×C4—432no—
528C22×C4—432no—
529C22×C4—431no—
530C22×C4—431no—
531C22×C4—431no—
532C22×C4—861no—
533C22×C4—861no—
534C22×C4—861no—
535C22×C4—861no—
536C22×C4—862no—
537C22×C4—3441no—
538C22×C4—1722no—
539C22×C4—1721no—
540C22×C4C2×C4×D4311yescharacteristic
541C22×C4C2×C4×D4311yescharacteristic
542C22×C4C2×C4×D4311yescharacteristic
543C22×C4C2×C4×D4311yescharacteristic
544C22×C4C23×D4311yescharacteristic
545M16—1724no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—862no—
549C2×C8—862no—
550C2×C8—1724no—
551C4⋊C4—22no—
552C4⋊C4—432no—
553C4⋊C4—432no—
554C4⋊C4—432no—
555C4⋊C4—432no—
556C4⋊C4—862no—
557C4⋊C4—862no—
558C4⋊C4—861no—
559C4⋊C4—861no—
560C4⋊C4—862no—
561C4⋊C4—862no—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—431no—
565C22⋊C4—431no—
566C22⋊C4—431no—
567C22⋊C4—431no—
568C22⋊C4—432no—
569C22⋊C4—432no—
570C22⋊C4—862no—
571C22⋊C4—861no—
572C22⋊C4—861no—
573C22⋊C4—861no—
574C22⋊C4—861no—
575C22⋊C4—862no—
576C22⋊C4—862no—
577C22⋊C4—861no—
578C22⋊C4—861no—
579C22⋊C4—862no—
580C22⋊C4—861no—
581C22⋊C4—861no—
582C22⋊C4—862no—
583C22⋊C4—862no—
584C42—432no—
585C42—432no—
586C42—861no—
587C42—861no—
588C42D4×D4312yes—
589C42D4×D4312yes—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—431no—
600C23—431no—
601C23—862no—
602C23—861no—
603C23—861no—
604C23—861no—
605C23—861no—
606C23—861no—
607C23—3441no—
608C23—3441no—
609C23—3444no—
610C23—3444no—
611C23—1721no—
612C23—1722no—
613C23—1722no—
614C23—1721no—
615C23—1721no—
616C23—1722no—
617C23—1722no—
618C23#1306333312yes—
619C23C22×C4×D4311yescharacteristic
620Q8—3442no—
621D4—44no—
622D4—3442no—
623D4—1722no—
624D4—1722no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—81no—
634C2×C4—81no—
635C2×C4—81no—
636C2×C4—81no—
637C2×C4—431no—
638C2×C4—431no—
639C2×C4—432no—
640C2×C4—432no—
641C2×C4—864no—
642C2×C4—861no—
643C2×C4—861no—
644C2×C4—861no—
645C2×C4—861no—
646C2×C4—861no—
647C2×C4—861no—
648C2×C4—861no—
649C2×C4—3441no—
650C2×C4—3441no—
651C2×C4—1722no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1722no—
655C2×C4—1722no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4C22⋊C4×D4312yes—
659C2×C4C22⋊C4×D4311yescharacteristic
660C2×C4C22⋊C4×D4311yescharacteristic
661C2×C4C2×D4×D4312yes—
662C8—42no—
663C8—42no—
664C8—1722no—
665C8—1722no—
666C22—21no—
667C22—21no—
668C22—22no—
669C22—42no—
670C22—42no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—81no—
677C22—81no—
678C22—432no—
679C22—861no—
680C22—861no—
681C22—861no—
682C22—861no—
683C22—861no—
684C22—3441no—
685C22—3441no—
686C22—3444no—
687C22—3444no—
688C22—1722no—
689C22—1722no—
690C22—1721no—
691C22—1721no—
692C22—1721no—
693C22C2×C22⋊C4×D4311yescharacteristic
694C22C2×#1306333311yescharacteristic
695C22#1458366511yescharacteristic
696C4—22no—
697C4—22no—
698C4—21no—
699C4—21no—
700C4—41no—
701C4—41no—
702C4—861no—
703C4—861no—
704C4—862no—
705C4—862no—
706C4—1721no—
707C4—1721no—
708C4—1721no—
709C2—21no—
710C2—21no—
711C2—42no—
712C2—81no—
713C2—862no—
714C2—3441no—
715C2—1721no—
716C2#1914304511yescharacteristic
717C2#410×D4311yescharacteristic
718C2#1914307111yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D43
commutatorC23×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1466C2
socleC22×C43C22×C22⋊C4
prime radicalC2×#13063293C4
cosocleC22×C4×C43C24
hypercenter#1466D43
hypocenterC43#17412
LCSG ▷ C23×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1466

Complements

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

NH ≅ G/Ntype
2. #19143254C2semidirect
3. #19132965C2semidirect
4. #19132945C2semidirect
5. #19132940C2semidirect
6. #19132926C2semidirect
7. #19132920C2semidirect
8. #19132916C2semidirect
9. #19132906C2semidirect
10. #323×D43C2semidirect
11. C43×#1466C2semidirect
32. #14582953C22semidirect
33. #14582952C22semidirect
34. #14582949C22semidirect
39. #14582624C22semidirect
40. #14582624C22semidirect
43. #14582623C22semidirect
47. C43×#432C22semidirect
50. C43×#323C22semidirect
355. #1466D43semidirect
393. #432C2×D43semidirect
409. #323C2×D43semidirect
410. C43#17412semidirect

Maximal subgroups

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

subgroupindex
C2×#145835782
#191432542
#191329652
#191329452
#191329402
#191329262
#191329202
#191329162
#191329062
#323×D432
C43×#14662
#1741243