Finite Group Databasebeta

← #25062793

Subgroups — #25062793

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×#14583573C211yesmaximal, characteristic
2#19143254C212yesmaximal, complemented
3#19132963C212yesmaximal, complemented
4#19132948C212yesmaximal, complemented
5#19132942C212yesmaximal, complemented
6#19132934C211yesmaximal, characteristic, complemented
7#19132920C211yesmaximal, characteristic, complemented
8#19132914C211yesmaximal, characteristic, complemented
9#19132909C211yesmaximal, characteristic, complemented
10#323×D43C211yesmaximal, characteristic, complemented
11C43×#1464C211yesmaximal, characteristic, complemented
12#14583573—22no—
13#14583573—22no—
14#14583573—22no—
15#14583573—22no—
16C2×#13063320C2211yescharacteristic
17C2×#13063319C411yescharacteristic
18C2×#13063313C2211yescharacteristic
19C2×#13063310C411yescharacteristic
20C2×#13063310C2211yescharacteristic
21C2×#13063308C411yescharacteristic
22C2×#13063303C411yescharacteristic
23C2×#13063302C411yescharacteristic
24C2×#13063295C411yescharacteristic
25C2×C4×D172C411yescharacteristic
26C2×(C22⋊D43)⋊C4C2211yescharacteristic
27C2×#13063282C2211yescharacteristic
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#14582625C2212yescomplemented
40#14582623C2211yescharacteristic
41#14582623C2211yescharacteristic
42#14582622C2212yes—
43#14582622C2212yes—
44#14582622C2212yescomplemented
45#14582622C2212yescomplemented
46C2×#117×C43C2211yescharacteristic
47C43×#432C2212yescomplemented
48C43×#324C2212yescomplemented
49C43×#323C2211yescharacteristic
50C43×#323C2211yescharacteristic
51C24×D43C2×C411yescharacteristic
52C22×Dic86C2×C411yescharacteristic
53C22×D172C2×C411yescharacteristic
54C22×D172C2×C411yescharacteristic
55C22×C22⋊D43C2×C411yescharacteristic
56C23×Dic43C2×C411yescharacteristic
57C22×C4×D43C2×C411yescharacteristic
58C22×C4×D43C2×C411yescharacteristic
59C22×C4×D43C2311yescharacteristic
60C2×#10621872—22no—
61C2×C8×D43—22no—
62#13063320—22no—
63#13063320—22no—
64#13063319—22no—
65#13063319—22no—
66#13063313—22no—
67#13063313—22no—
68#13063310—22no—
69#13063310—22no—
70#13063310—22no—
71#13063310—22no—
72#13063308—22no—
73#13063308—22no—
74#13063303—22no—
75#13063303—22no—
76#13063302—22no—
77#13063302—22no—
78#13063295—22no—
79#13063295—22no—
80C4×D172—21no—
81C4×D172—21no—
82C4×D172—21no—
83C4×D172—21no—
84(C22⋊D43)⋊C4—22no—
85(C22⋊D43)⋊C4—22no—
86#13063282D412yes—
87#13063282D412yes—
88#13063282D412yes—
89#13063282D412yes—
90C2×C4⋊Dic43C2×C411yescharacteristic
91C2×Dic43⋊C4C2×C411yescharacteristic
92C2×Dic43⋊C4C2×C411yescharacteristic
93C2×Dic43⋊C4C2×C411yescharacteristic
94C2×Dic43⋊C4C2×C411yescharacteristic
95C2×Dic43⋊C4C2×C411yescharacteristic
96C2×C22⋊Dic43C2×C411yescharacteristic
97C2×(C2×D43)⋊C4—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×(C2×D43)⋊C4—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4C2×C411yescharacteristic
102C2×(C2×D43)⋊C4C2×C411yescharacteristic
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
111C2×(C2×D43)⋊C4C2311yescharacteristic
112C22⋊C4×D43—22no—
113C22⋊C4×D43—22no—
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—
125C23×C4×C43C2×C411yescharacteristic
126#117×C43—22no—
127#117×C43—22no—
128C2×C4⋊C4×C43C2×C411yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C22⋊C4×C43C2×C411yescharacteristic
131C2×C22⋊C4×C43C2311yescharacteristic
132C2×C42×C43C2×C411yescharacteristic
133C2×C42×C43C2311yescharacteristic
134C4⋊C8×C43—22no—
135C22⋊C8×C43C2312yes—
136C22⋊C8×C43C2312yes—
137#97×C43—22no—
138C24×C43C22×C411yescharacteristic
139C23×D43—22no—
140C23×D43—21no—
141C23×D43—21no—
142C23×D43—41no—
143C23×D43—42no—
144C23×D43—81no—
145C23×D43C22×C411yescharacteristic
146C23×D43C22×C411yescharacteristic
147C23×D43C22×C411yescharacteristic
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43—22no—
151C22×C4×C43—41no—
152C22×C4×C43C22×C411yescharacteristic
153C22×C4×C43C22×C411yescharacteristic
154C22×C4×C43C22×C411yescharacteristic
155C22×C4×C43C22×C411yescharacteristic
156C22×C4×C43C22×C411yescharacteristic
157C22×C4×C43C2411yescharacteristic
158C2×C22⋊D43—22no—
159C2×C22⋊D43—22no—
160C2×C22⋊D43—41no—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43—81no—
164C22×Dic43C22×C411yescharacteristic
165C22×Dic43C22×C411yescharacteristic
166C22×Dic43C22×C411yescharacteristic
167C22×Dic43C22×C411yescharacteristic
168C22×Dic43C22×C411yescharacteristic
169C2×D172—22no—
170C2×D172—21no—
171C2×D172—21no—
172C2×D172—42no—
173C2×D172—81no—
174C2×C4×D43—21no—
175C2×C4×D43—21no—
176C2×C4×D43—21no—
177C2×C4×D43—21no—
178C2×C4×D43—42no—
179C2×C4×D43—81no—
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—
188C4⋊C4×C43—22no—
189C22⋊C4×C43—22no—
190C22⋊C4×C43—22no—
191C42×C43—21no—
192C42×C43—21no—
193C42×C43C2×D412yes—
194C42×C43C2×D412yes—
195C22⋊Dic43—22no—
196(C2×D43)⋊C4—21no—
197(C2×D43)⋊C4—21no—
198(C2×D43)⋊C4—21no—
199(C2×D43)⋊C4—21no—
200(C2×D43)⋊C4—22no—
201(C2×D43)⋊C4—22no—
202(C2×D43)⋊C4—22no—
203(C2×D43)⋊C4—21no—
204(C2×D43)⋊C4—21no—
205(C2×D43)⋊C4—22no—
206(C2×D43)⋊C4—22no—
207(C2×D43)⋊C4—21no—
208(C2×D43)⋊C4—21no—
209(C2×D43)⋊C4C22⋊C411yescharacteristic
210(C2×D43)⋊C4C22⋊C411yescharacteristic
211(C2×D43)⋊C4C22⋊C411yescharacteristic
212(C2×D43)⋊C4C22⋊C411yescharacteristic
213(C2×D43)⋊C4C22⋊C412yes—
214(C2×D43)⋊C4C22⋊C412yes—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217Dic43⋊C4—22no—
218Dic43⋊C4—22no—
219Dic43⋊C4—22no—
220Dic43⋊C4C22⋊C412yes—
221Dic43⋊C4C22⋊C412yes—
222Dic43⋊C4C22⋊C412yes—
223Dic43⋊C4C22⋊C412yes—
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—41no—
233C23×C43—41no—
234C23×C43#13112yes—
235C23×C43C23×C411yescharacteristic
236C22×D43—21no—
237C22×D43—21no—
238C22×D43—22no—
239C22×D43—21no—
240C22×D43—21no—
241C22×D43—21no—
242C22×D43—21no—
243C22×D43—21no—
244C22×D43—21no—
245C22×D43—41no—
246C22×D43—42no—
247C22×D43—42no—
248C22×D43—42no—
249C22×D43—42no—
250C22×D43—41no—
251C22×D43—41no—
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
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—42no—
270C2×C4×C43—42no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43C2×C22⋊C411yescharacteristic
274C2×C4×C43C2×C22⋊C411yescharacteristic
275C2×C4×C43C2×C22⋊C412yes—
276C2×C4×C43C22×D412yes—
277C22⋊D43—44no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—81no—
287C2×Dic43—81no—
288C2×Dic43C2×C22⋊C412yes—
289C2×Dic43C2×C22⋊C411yescharacteristic
290C2×Dic43C2×C22⋊C411yescharacteristic
291C2×Dic43C2×C22⋊C412yes—
292D172—42no—
293D172—42no—
294D172—82no—
295C4×D43—24no—
296C4×D43—42no—
297C4×D43—81no—
298C4×D43—81no—
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×C43C22×C22⋊C411yescharacteristic
315C22×C43C2×#13111yescharacteristic
316C22×C43#56811yescharacteristic
317C2×D43—21no—
318C2×D43—21no—
319C2×D43—21no—
320C2×D43—21no—
321C2×D43—21no—
322C2×D43—42no—
323C2×D43—42no—
324C2×D43—41no—
325C2×D43—41no—
326C2×D43—41no—
327C2×D43—41no—
328C2×D43—41no—
329C2×D43—41no—
330C2×D43—84no—
331C2×D43—84no—
332C2×D43—81no—
333C2×D43—81no—
334C2×D43—81no—
335C2×D43—81no—
336C2×D43#41012yes—
337C4×C43—21no—
338C4×C43—21no—
339C4×C43—22no—
340C4×C43—22no—
341C4×C43—41no—
342C4×C43—41no—
343C4×C43—41no—
344Dic43—22no—
345Dic43—22no—
346Dic43—21no—
347Dic43—21no—
348Dic43—41no—
349Dic43—41no—
350C2×#551—431no—
351#2924—432no—
352#1473—432no—
353#1469—432no—
354#1468—432no—
355#1466—431no—
356#1464D4311yescharacteristic, complemented
357#1462—431no—
358#1460—431no—
359#1458—431no—
360C2×#323—431no—
361C2×C43—21no—
362C2×C43—21no—
363C2×C43—42no—
364C2×C43#288011yescharacteristic
365C2×C43C2×#41011yescharacteristic
366C2×C43#288811yescharacteristic
367D43—22no—
368D43—41no—
369D43—81no—
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×D4—431no—
386C2×#117—431no—
387C2×#117C2×D4311yescharacteristic
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#324C2×D4312yescomplemented
402#323—431no—
403#323—431no—
404#323—432no—
405#323—432no—
406#323—432no—
407#323—432no—
408#323C2×D4311yescharacteristic
409#323C2×D4311yescharacteristic
410C43#1741211yescharacteristic, complemented, Sylow
411C25—431no—
412C22×Q8—431no—
413C22×D4—431no—
414C22×D4—431no—
415C22×D4—431no—
416C23×C4—431no—
417C23×C4—431no—
418C23×C4—431no—
419C23×C4—431no—
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—861no—
442C4×D4—861no—
443C4×D4—861no—
444C4×D4—861no—
445C4×D4—862no—
446C4×D4—862no—
447#117—22no—
448#117—22no—
449#117—432no—
450#117—432no—
451#117—432no—
452#117—432no—
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⋊C4C4×D4311yescharacteristic
460C2×C4⋊C4C22×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⋊C4C4×D4311yescharacteristic
480C2×C22⋊C4C22×D4311yescharacteristic
481C2×C42—431no—
482C2×C42C4×D4311yescharacteristic
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—431no—
501C24—861no—
502C24—861no—
503C24—862no—
504C24—3441no—
505C24—1721no—
506C24—1722no—
507C24C2×C4×D4311yescharacteristic
508C2×Q8—862no—
509C2×Q8—3441no—
510C2×D4—861no—
511C2×D4—861no—
512C2×D4—862no—
513C2×D4—862no—
514C2×D4—862no—
515C2×D4—3441no—
516C2×D4—1722no—
517C2×D4—1721no—
518C22×C4—22no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—41no—
522C22×C4—431no—
523C22×C4—431no—
524C22×C4—431no—
525C22×C4—432no—
526C22×C4—432no—
527C22×C4—431no—
528C22×C4—431no—
529C22×C4—861no—
530C22×C4—861no—
531C22×C4—861no—
532C22×C4—861no—
533C22×C4—861no—
534C22×C4—861no—
535C22×C4—3441no—
536C22×C4—3441no—
537C22×C4—3441no—
538C22×C4—1722no—
539C22×C4C2×C4×D4311yescharacteristic
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—22no—
553C4⋊C4—432no—
554C4⋊C4—432no—
555C4⋊C4—432no—
556C4⋊C4—432no—
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—862no—
574C22⋊C4—862no—
575C22⋊C4—861no—
576C22⋊C4—861no—
577C22⋊C4—862no—
578C22⋊C4—861no—
579C22⋊C4—861no—
580C22⋊C4—861no—
581C22⋊C4—861no—
582C22⋊C4—862no—
583C22⋊C4—862no—
584C42—21no—
585C42—21no—
586C42—432no—
587C42—432no—
588C42D4×D4312yes—
589C42D4×D4312yes—
590C23—21no—
591C23—21no—
592C23—41no—
593C23—41no—
594C23—431no—
595C23—431no—
596C23—862no—
597C23—861no—
598C23—861no—
599C23—861no—
600C23—861no—
601C23—861no—
602C23—861no—
603C23—861no—
604C23—861no—
605C23—3441no—
606C23—3441no—
607C23—3444no—
608C23—3444no—
609C23—1721no—
610C23—1722no—
611C23—1722no—
612C23—1721no—
613C23—1721no—
614C23—1721no—
615C23—1721no—
616C23—1722no—
617C23—1722no—
618C23#1306333312yes—
619C23C22×C4×D4311yescharacteristic
620Q8—3442no—
621D4—3442no—
622D4—1722no—
623D4—1722no—
624D4—1724no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—432no—
639C2×C4—431no—
640C2×C4—431no—
641C2×C4—432no—
642C2×C4—864no—
643C2×C4—861no—
644C2×C4—861no—
645C2×C4—861no—
646C2×C4—861no—
647C2×C4—3441no—
648C2×C4—3441no—
649C2×C4—3441no—
650C2×C4—3441no—
651C2×C4—3441no—
652C2×C4—3441no—
653C2×C4—1722no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4C22⋊C4×D4311yescharacteristic
659C2×C4C22⋊C4×D4311yescharacteristic
660C2×C4C22⋊C4×D4312yes—
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—432no—
674C22—861no—
675C22—861no—
676C22—861no—
677C22—861no—
678C22—861no—
679C22—3441no—
680C22—3441no—
681C22—3441no—
682C22—3441no—
683C22—3444no—
684C22—3444no—
685C22—1722no—
686C22—1722no—
687C22—1721no—
688C22—1721no—
689C22—1721no—
690C22—1721no—
691C22—1721no—
692C22—1721no—
693C22C2×C22⋊C4×D4311yescharacteristic
694C22C2×#1306333311yescharacteristic
695C22#1458366511yescharacteristic
696C4—21no—
697C4—21no—
698C4—22no—
699C4—22no—
700C4—41no—
701C4—41no—
702C4—41no—
703C4—862no—
704C4—862no—
705C4—861no—
706C4—861no—
707C4—1721no—
708C4—1721no—
709C2—21no—
710C2—21no—
711C2—42no—
712C2—862no—
713C2—3441no—
714C2—3441no—
715C2—1721no—
716C2#1914304511yescharacteristic
717C2#410×D4311yescharacteristic
718C2#1914307211yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D43
commutatorC23×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1464C2
socleC22×C43C22×C22⋊C4
prime radicalC2×#13063295C4
cosocleC22×C4×C43C24
hypercenter#1464D43
hypocenterC43#17412
LCSG ▷ C23×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1464

Complements

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

NH ≅ G/Ntype
2. #19143254C2semidirect
3. #19132963C2semidirect
4. #19132948C2semidirect
5. #19132942C2semidirect
6. #19132934C2semidirect
7. #19132920C2semidirect
8. #19132914C2semidirect
9. #19132909C2semidirect
10. #323×D43C2semidirect
11. C43×#1464C2semidirect
32. #14582953C22semidirect
33. #14582952C22semidirect
34. #14582949C22semidirect
39. #14582625C22semidirect
44. #14582622C22semidirect
45. #14582622C22semidirect
47. C43×#432C22semidirect
48. C43×#324C22semidirect
356. #1464D43semidirect
393. #432C2×D43semidirect
401. #324C2×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×#145835732
#191432542
#191329632
#191329482
#191329422
#191329342
#191329202
#191329142
#191329092
#323×D432
C43×#14642
#1741243