Finite Group Databasebeta

← #25256988

Subgroups — #25256988

Order 11008.

2854 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13063324C211yesmaximal, characteristic
2C2×#14583376C212yesmaximal
3#19137654C212yesmaximal, complemented
4#19137650C214yesmaximal, complemented
5#19137648C212yesmaximal, complemented
6#19137466C211yesmaximal, characteristic
7#19137465C212yesmaximal
8#19137464C211yesmaximal, characteristic
9#19137462C211yesmaximal, characteristic
10#19137459C212yesmaximal
11#19137310C214yesmaximal, complemented
12#19137180C212yesmaximal
13#19137166C212yesmaximal, complemented
14C4×#13063324C212yesmaximal, complemented
15#19136997C211yesmaximal, characteristic
16C4×#13063281C211yesmaximal, characteristic
17C43×#2344C211yesmaximal, characteristic
18C23×Dic86C2212yes—
19C2×#13063324C4116yescomplemented
20C2×#13063324C2212yes—
21C2×#13063324C2211yescharacteristic
22C2×#13063324C2212yes—
23C2×#13063324C2211yescharacteristic
24C2×#13063324C2211yescharacteristic
25C2×#13063324C2211yescharacteristic
26#14583376—216no—
27C2×C4×Dic86C2214yes—
28C2×C4×Dic86C2214yes—
29C2×#13063290C2214yes—
30C2×#13063290C2214yes—
31C2×#13063284C2212yes—
32C2×#13063281C2212yes—
33C2×#13063281C2212yes—
34C2×#13063281C2212yes—
35C2×#13063281C2211yescharacteristic
36C2×#13063281C2211yescharacteristic
37C22×C4⋊Dic43C2211yescharacteristic
38C22×Dic43⋊C4C2212yes—
39C22×C4×Dic43C2211yescharacteristic
40#14582803C2214yes—
41#14582803C2214yes—
42#14582803C2214yes—
43#14582803C2214yes—
44#14582798C2212yes—
45#14582797C2212yes—
46#14582796C2214yes—
47#14582795C2212yes—
48#14582794C2214yes—
49#14582786C2214yes—
50#14582785C2214yes—
51#14582784C2214yes—
52#14582783C2214yes—
53#14582782C2214yes—
54#14582781C2214yes—
55#14582780C2214yes—
56#14582768C2212yes—
57#14582763C2212yes—
58#14582762C2212yes—
59#14582760C2212yes—
60#14582760C2212yes—
61#14582759C2211yescharacteristic
62#14582757C2212yes—
63C4⋊C4×Dic43C2212yes—
64C4⋊C4×Dic43C2212yes—
65C4⋊C4×Dic43C2212yes—
66C4×Dic43⋊C4C2212yes—
67C4×Dic43⋊C4C2214yes—
68C4×C4⋊Dic43C2212yes—
69#14582750C2212yes—
70#14582750C2212yes—
71#14582750C2214yes—
72C22⋊C4×Dic43C2211yescharacteristic
73C22⋊C4×Dic43C2211yescharacteristic
74C4×C22⋊Dic43C2211yescharacteristic
75#14582744C2212yes—
76C42×Dic43C2212yes—
77C2×#117×C43C2212yes—
78C22×C4⋊C4×C43C2211yescharacteristic
79C43×#389C2212yes—
80C43×#387C2214yes—
81C43×#381C2212yes—
82C43×#380C2211yescharacteristic
83C4×C4⋊C4×C43C2212yes—
84C4×C22⋊C4×C43C2211yescharacteristic
85C22×Dic86—28no—
86C22×Dic86—28no—
87C22×Dic86C2×C4116yes—
88C22×Dic86C2312yes—
89C22×Dic86C2312yes—
90C22×Dic86C2312yes—
91C22×Dic86C2312yes—
92C23×Dic43C2311yescharacteristic
93C23×Dic43C2312yes—
94C23×Dic43C2311yescharacteristic
95#13063324C2×C4116yes—
96#13063324C2×C418yes—
97#13063324C2×C4116yes—
98#13063324C2×C418yes—
99#13063324C2×C418yes—
100#13063324C2×C418yes—
101C4×Dic86—216no—
102C4×Dic86—216no—
103#13063290—216no—
104#13063290—216no—
105#13063284—28no—
106#13063281—28no—
107#13063281—24no—
108#13063281—28no—
109#13063281—28no—
110#13063281D418yes—
111C2×C4⋊Dic43C2×C418yes—
112C2×C4⋊Dic43C2314yes—
113C2×C4⋊Dic43C2312yes—
114C2×C4⋊Dic43C2312yes—
115C2×C4⋊Dic43C2311yescharacteristic
116C2×C4⋊Dic43C2311yescharacteristic
117C2×Dic43⋊C4C2×C4116yes—
118C2×Dic43⋊C4C2314yes—
119C2×Dic43⋊C4C2314yes—
120C2×Dic43⋊C4C2314yes—
121C2×Dic43⋊C4C2312yes—
122C2×Dic43⋊C4C2314yes—
123C2×Dic43⋊C4C2312yes—
124C2×Dic43⋊C4C2312yes—
125C2×Dic43⋊C4C2312yes—
126C2×Dic43⋊C4C2312yes—
127C2×Dic43⋊C4C2312yes—
128C2×C22⋊Dic43C2312yes—
129C2×C22⋊Dic43C2311yescharacteristic
130C2×C22⋊Dic43C2311yescharacteristic
131C2×C4×Dic43C2×C418yes—
132C2×C4×Dic43C2314yes—
133C2×C4×Dic43C2314yes—
134C2×C4×Dic43C2314yes—
135C2×C4×Dic43C2312yes—
136C2×C4×Dic43C2312yes—
137C2×C4×Dic43C2312yes—
138C2×C4×Dic43C2312yes—
139C2×C4×Dic43C2314yes—
140C2×C4×Dic43C2311yescharacteristic
141C2×C4×Dic43C2311yescharacteristic
142C2×C4×Dic43C2311yescharacteristic
143C2×C4×Dic43C2311yescharacteristic
144C2×C4×Dic43C2312yes—
145C43⋊#95C2312yes—
146C43⋊#95C2314yes—
147C43⋊#95C2314yes—
148C43⋊#95C2312yes—
149C43⋊#95C2314yes—
150C43⋊#95C2314yes—
151C43⋊#95C2312yes—
152C43⋊#95C2314yes—
153C43⋊#95C2314yes—
154C43⋊#95C2314yes—
155C43⋊#95C2312yes—
156C23×C4×C43C2312yes—
157C23×C4×C43C2311yescharacteristic
158#117×C43—28no—
159C2×C4⋊C4×C43C2×C418yes—
160C2×C4⋊C4×C43C2314yes—
161C2×C4⋊C4×C43C2312yes—
162C2×C4⋊C4×C43C2312yes—
163C2×C4⋊C4×C43C2311yescharacteristic
164C2×C4⋊C4×C43C2311yescharacteristic
165C2×C22⋊C4×C43C2312yes—
166C2×C22⋊C4×C43C2311yescharacteristic
167C2×C22⋊C4×C43C2311yescharacteristic
168C2×C42×C43C2312yes—
169C2×C42×C43C2314yes—
170#95×C43C2312yes—
171#95×C43C2314yes—
172#95×C43C2314yes—
173#95×C43C2312yes—
174C24×C43C2411yescharacteristic
175C22×C4×C43—24no—
176C22×C4×C43—24no—
177C22×C4×C43—24no—
178C22×C4×C43C22×C414yes—
179C22×C4×C43C22×C418yes—
180C22×C4×C43C2412yes—
181C22×C4×C43C2414yes—
182C22×C4×C43C2411yescharacteristic
183C22×C4×C43C2412yes—
184C22×C4×C43C2412yes—
185C22×C4×C43C2412yes—
186C22×C4×C43C2411yescharacteristic
187C22×Dic43—24no—
188C22×Dic43—24no—
189C22×Dic43—24no—
190C22×Dic43C22×C414yes—
191C22×Dic43C22×C418yes—
192C22×Dic43C22×C414yes—
193C22×Dic43C2×D414yes—
194C22×Dic43#4114yes—
195C22×Dic43C2412yes—
196C22×Dic43C2414yes—
197C22×Dic43C2411yescharacteristic
198C22×Dic43C2412yes—
199C22×Dic43C2412yes—
200C22×Dic43C2412yes—
201C22×Dic43C2411yescharacteristic
202C22×Dic43C2411yescharacteristic
203C22×Dic43C2411yescharacteristic
204C2×Dic86—264no—
205C2×Dic86—24no—
206C2×Dic86—24no—
207C2×Dic86—24no—
208C2×Dic86—24no—
209C2×Dic86—24no—
210C2×Dic86—24no—
211C2×Dic86—24no—
212C2×Dic86—24no—
213C2×Dic86C22×C418yes—
214C2×Dic86C22×C418yes—
215C2×Dic86C22×C418yes—
216C2×Dic86C22×C418yes—
217C4⋊C4×C43—28no—
218C4⋊C4×C43—24no—
219C4⋊C4×C43C22×C418yes—
220C4⋊C4×C43C22×C414yes—
221C4⋊C4×C43C22×C414yes—
222C22⋊C4×C43—24no—
223C22⋊C4×C43—22no—
224C22⋊C4×C43C2×D414yes—
225C42×C43—28no—
226C42×C43—24no—
227C22⋊Dic43—24no—
228C22⋊Dic43—22no—
229C22⋊Dic43C2×D414yes—
230C4⋊Dic43—24no—
231C4⋊Dic43—28no—
232C4⋊Dic43C22×C418yes—
233C4⋊Dic43C22×C414yes—
234C4⋊Dic43C22×C414yes—
235Dic43⋊C4—28no—
236Dic43⋊C4—28no—
237Dic43⋊C4—28no—
238Dic43⋊C4—24no—
239Dic43⋊C4—28no—
240Dic43⋊C4C22×C418yes—
241Dic43⋊C4C22×C418yes—
242Dic43⋊C4C22×C418yes—
243Dic43⋊C4C22×C418yes—
244Dic43⋊C4C2×D418yes—
245C4×Dic43—28no—
246C4×Dic43—24no—
247C4×Dic43—28no—
248C4×Dic43—28no—
249C4×Dic43—28no—
250C4×Dic43—24no—
251C4×Dic43—24no—
252C4×Dic43—24no—
253C4×Dic43C22×C414yes—
254C4×Dic43C22×C414yes—
255C4×Dic43C22×C414yes—
256C4×Dic43C22×C414yes—
257C4×Dic43C2×D418yes—
258C23×C43—22no—
259C23×C43—22no—
260C23×C43C23×C412yes—
261C23×C43C22×D412yes—
262C23×C43C2×#4112yes—
263C23×C43C2511yescharacteristic
264C2×C4×C43—216no—
265C2×C4×C43—22no—
266C2×C4×C43—22no—
267C2×C4×C43—22no—
268C2×C4×C43—22no—
269C2×C4×C43—22no—
270C2×C4×C43—22no—
271C2×C4×C43—22no—
272C2×C4×C43—28no—
273C2×C4×C43—24no—
274C2×C4×C43—22no—
275C2×C4×C43—22no—
276C2×C4×C43—24no—
277C2×C4×C43—22no—
278C2×C4×C43—24no—
279C2×C4×C43C23×C412yes—
280C2×C4×C43C23×C414yes—
281C2×C4×C43C23×C414yes—
282C2×C4×C43C23×C412yes—
283C2×C4×C43C22×D414yes—
284C2×C4×C432−1+414yes—
285C2×Dic43—216no—
286C2×Dic43—22no—
287C2×Dic43—22no—
288C2×Dic43—22no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—22no—
292C2×Dic43—22no—
293C2×Dic43—28no—
294C2×Dic43—24no—
295C2×Dic43—22no—
296C2×Dic43—22no—
297C2×Dic43—22no—
298C2×Dic43—24no—
299C2×Dic43—24no—
300C2×Dic43C4×D4116yes—
301C2×Dic43C23×C412yes—
302C2×Dic43C23×C414yes—
303C2×Dic43C23×C414yes—
304C2×Dic43C23×C412yes—
305C2×Dic43C23×C412yes—
306C2×Dic43C23×C412yes—
307C2×Dic43C22×D414yes—
308C2×Dic43C22×D412yes—
309C2×Dic43C22×D412yes—
310C2×Dic43C2×#4112yes—
311C2×Dic43C2×#4112yes—
312C2×Dic432−1+414yes—
313Dic86—216no—
314Dic86—216no—
315Dic86—216no—
316Dic86—216no—
317#34209—431nomaximal, Sylow
318C22×C43—22no—
319C22×C43—22no—
320C22×C43—24no—
321C22×C43—24no—
322C22×C43C2×C4×D414yes—
323C22×C43C24×C411yescharacteristic
324C22×C43C23×D411yescharacteristic
325C22×C43C22×#4111yescharacteristic
326C22×C43C2×2−1+412yes—
327C22×C43C2×2−1+412yes—
328C4×C43—24no—
329C4×C43—24no—
330C4×C43—22no—
331C4×C43—24no—
332C4×C43—44no—
333C4×C43—42no—
334C4×C43#51914yescomplemented
335Dic43—24no—
336Dic43—24no—
337Dic43—22no—
338Dic43—24no—
339Dic43—44no—
340Dic43—42no—
341Dic43C2×C4×D414yes—
342Dic43C2×C4×D414yes—
343Dic43#51914yescomplemented
344C22×C4⋊Q8—431no—
345C2×#519—432no—
346#2365—432no—
347#2365—434no—
348#2365—432no—
349#2344—432no—
350#2344—431no—
351#2344—431no—
352#2344—432no—
353#2344—431no—
354#2344D4311yescharacteristic
355#2327—434no—
356#2310—432no—
357C4×C4⋊Q8—432no—
358C4×C4⋊Q8—432no—
359#2285—431no—
360C4×#117—431no—
361C2×C43—24no—
362C2×C43C22×C4×D411yescharacteristic
363C2×C43C2×#51911yescharacteristic
364C2×C43C2×#51911yescharacteristic
365C2×C43#349912yes—
366C2×C43#350912yes—
367C23×Q8—432no—
368C2×C4⋊Q8—431no—
369C2×C4⋊Q8—431no—
370C2×C4⋊Q8—432no—
371C2×C4⋊Q8—432no—
372C2×C4⋊Q8—431no—
373C2×C4⋊Q8—431no—
374C2×C4⋊Q8—4316no—
375#519—8616no—
376C2×C4×Q8—434no—
377C2×C4×Q8—434no—
378C2×C4×Q8—434no—
379C2×C4×Q8—434no—
380C2×#117—432no—
381C2×#117—431no—
382C2×#117—431no—
383C2×#117—432no—
384C2×#117—432no—
385C2×#117—432no—
386C2×#117C2×D4312yes—
387C22×C4⋊C4—432no—
388C22×C4⋊C4—431no—
389C22×C4⋊C4C2×D4311yescharacteristic
390C22×C42—431no—
391#391—434no—
392#391—434no—
393#391—434no—
394#391—434no—
395#389—434no—
396#389—432no—
397#389—432no—
398#389—432no—
399#389—434no—
400#389C2×D4312yes—
401#387—434no—
402#387—434no—
403#387—434no—
404#387—434no—
405#387—434no—
406#387—434no—
407#387—434no—
408#387C2×D4314yes—
409#384—432no—
410#382—432no—
411#381—432no—
412#381—432no—
413#381—432no—
414#381C2×D4312yes—
415#380—431no—
416#380—432no—
417#380C2×D4311yescharacteristic
418C4×C4⋊C4—432no—
419C4×C4⋊C4—432no—
420C4×C4⋊C4—432no—
421C4×C4⋊C4—432no—
422C4×C4⋊C4—434no—
423C4×C4⋊C4—432no—
424C4×C4⋊C4—434no—
425C4×C4⋊C4—432no—
426C4×C4⋊C4—432no—
427C4×C4⋊C4C2×D4312yes—
428C4×C22⋊C4—431no—
429C4×C22⋊C4—431no—
430C4×C22⋊C4—431no—
431C4×C22⋊C4C2×D4311yescharacteristic
432#376—432no—
433C43—432no—
434C43#3420911yescharacteristic, complemented, Sylow
435C22×Q8—4316no—
436C22×Q8—432no—
437C22×Q8—432no—
438C22×Q8—432no—
439C22×Q8—432no—
440C22×Q8—868no—
441C22×Q8—868no—
442C23×C4—431no—
443C23×C4—432no—
444C23×C4—431no—
445C23×C4C22×D4312yes—
446C23×C4C22×D4311yescharacteristic
447C4⋊Q8—438no—
448C4⋊Q8—438no—
449C4⋊Q8—4316no—
450C4⋊Q8—4316no—
451C4⋊Q8—438no—
452C4⋊Q8—438no—
453C4×Q8—8616no—
454C4×Q8—8616no—
455C4×Q8—8616no—
456C4×Q8—8616no—
457#117—28no—
458#117—438no—
459#117—868no—
460#117—868no—
461#117—864no—
462#117—868no—
463#117—868no—
464C2×C4⋊C4—4316no—
465C2×C4⋊C4—438no—
466C2×C4⋊C4—432no—
467C2×C4⋊C4—432no—
468C2×C4⋊C4—432no—
469C2×C4⋊C4—432no—
470C2×C4⋊C4—431no—
471C2×C4⋊C4—431no—
472C2×C4⋊C4—432no—
473C2×C4⋊C4—432no—
474C2×C4⋊C4—434no—
475C2×C4⋊C4—434no—
476C2×C4⋊C4—434no—
477C2×C4⋊C4—434no—
478C2×C4⋊C4—432no—
479C2×C4⋊C4—434no—
480C2×C4⋊C4—432no—
481C2×C4⋊C4C4×D4318yes—
482C2×C4⋊C4C22×D4314yes—
483C2×C4⋊C4C22×D4312yes—
484C2×C4⋊C4C22×D4311yescharacteristic
485C2×C4⋊C4C22×D4311yescharacteristic
486C2×C4⋊C4C22×D4312yes—
487C2×C22⋊C4—431no—
488C2×C22⋊C4—432no—
489C2×C22⋊C4—431no—
490C2×C22⋊C4C22×D4312yes—
491C2×C22⋊C4C22×D4311yescharacteristic
492C2×C22⋊C4C22×D4311yescharacteristic
493C2×C42—438no—
494C2×C42—432no—
495C2×C42—431no—
496C2×C42—431no—
497C2×C42—431no—
498C2×C42—431no—
499C2×C42—434no—
500C2×C42—434no—
501C2×C42—434no—
502C2×C42—434no—
503C2×C42—432no—
504C2×C42—432no—
505C2×C42—432no—
506C2×C42—432no—
507C2×C42C22×D4314yes—
508C2×C42C22×D4312yes—
509#95—432no—
510#95—432no—
511#95—432no—
512#95—434no—
513#95—432no—
514#95—434no—
515#95—434no—
516#95—434no—
517#95—434no—
518#95—434no—
519#95—434no—
520#95C22×D4312yes—
521#95C22×D4312yes—
522#95C22×D4314yes—
523#95C22×D4314yes—
524C24C23×D4311yescharacteristic
525C2×Q8—438no—
526C2×Q8—438no—
527C2×Q8—438no—
528C2×Q8—438no—
529C2×Q8—864no—
530C2×Q8—864no—
531C2×Q8—864no—
532C2×Q8—864no—
533C2×Q8—8664no—
534C2×Q8—864no—
535C2×Q8—864no—
536C2×Q8—864no—
537C2×Q8—864no—
538C22×C4—24no—
539C22×C4—24no—
540C22×C4—24no—
541C22×C4—434no—
542C22×C4—434no—
543C22×C4—434no—
544C22×C4—431no—
545C22×C4—431no—
546C22×C4—431no—
547C22×C4—434no—
548C22×C4—438no—
549C22×C4—431no—
550C22×C4—432no—
551C22×C4—432no—
552C22×C4—432no—
553C22×C4—432no—
554C22×C4—434no—
555C22×C4—864no—
556C22×C4—864no—
557C22×C4—864no—
558C22×C4C2×C4×D4314yes—
559C22×C4C2×C4×D4318yes—
560C22×C4C23×D4312yes—
561C22×C4C23×D4314yes—
562C22×C4C23×D4311yescharacteristic
563C22×C4C23×D4312yes—
564C22×C4C23×D4312yes—
565C22×C4C23×D4312yes—
566C22×C4C23×D4311yescharacteristic
567C4⋊C4—28no—
568C4⋊C4—24no—
569C4⋊C4—438no—
570C4⋊C4—438no—
571C4⋊C4—438no—
572C4⋊C4—438no—
573C4⋊C4—438no—
574C4⋊C4—434no—
575C4⋊C4—434no—
576C4⋊C4—438no—
577C4⋊C4—868no—
578C4⋊C4—868no—
579C4⋊C4—868no—
580C4⋊C4—864no—
581C4⋊C4—868no—
582C4⋊C4—868no—
583C4⋊C4—864no—
584C4⋊C4C2×C4×D4318yes—
585C4⋊C4C2×C4×D4314yes—
586C4⋊C4C2×C4×D4314yes—
587C22⋊C4—24no—
588C22⋊C4—22no—
589C22⋊C4—434no—
590C22⋊C4—864no—
591C22⋊C4—862no—
592C22⋊C4D4×D4314yes—
593C42—28no—
594C42—24no—
595C42—434no—
596C42—434no—
597C42—434no—
598C42—434no—
599C42—438no—
600C42—868no—
601C42—868no—
602C42—868no—
603C42—864no—
604C42—864no—
605C42—864no—
606C42—868no—
607C42—864no—
608C23—22no—
609C23—22no—
610C23C22×C4×D4312yes—
611C23C2×D4×D4312yes—
612C23#41×D4312yes—
613C23C24×D4311yescharacteristic
614Q8—8616no—
615Q8—8616no—
616Q8—8616no—
617Q8—8616no—
618C2×C4—216no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—28no—
627C2×C4—24no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—22no—
632C2×C4—24no—
633C2×C4—4316no—
634C2×C4—432no—
635C2×C4—432no—
636C2×C4—432no—
637C2×C4—432no—
638C2×C4—432no—
639C2×C4—432no—
640C2×C4—432no—
641C2×C4—434no—
642C2×C4—432no—
643C2×C4—434no—
644C2×C4—434no—
645C2×C4—434no—
646C2×C4—868no—
647C2×C4—8616no—
648C2×C4—862no—
649C2×C4—862no—
650C2×C4—862no—
651C2×C4—862no—
652C2×C4—862no—
653C2×C4—862no—
654C2×C4—862no—
655C2×C4—864no—
656C2×C4—862no—
657C2×C4—862no—
658C2×C4—864no—
659C2×C4—862no—
660C2×C4—864no—
661C2×C4C22×C4×D4312yes—
662C2×C4C22×C4×D4314yes—
663C2×C4C22×C4×D4314yes—
664C2×C4C22×C4×D4312yes—
665C2×C4C2×D4×D4314yes—
666C2×C4#1306337214yes—
667C22—22no—
668C22—22no—
669C22—24no—
670C22—24no—
671C22C4×D4×D4314yes—
672C22C23×C4×D4311yescharacteristic
673C22C22×D4×D4311yescharacteristic
674C22C2×#41×D4311yescharacteristic
675C222−1+4×D4312yes—
676C22C2×#1306337212yes—
677C4—22no—
678C4—24no—
679C4—24no—
680C4—24no—
681C4—44no—
682C4—42no—
683C4—434no—
684C4—434no—
685C4—434no—
686C4—862no—
687C4—864no—
688C4—864no—
689C4—864no—
690C4—1724no—
691C4—1722no—
692C4#1458337614yescomplemented
693C2—24no—
694C2C2×C4×D4×D4311yescharacteristic
695C2#519×D4311yescharacteristic
696C2C2×#1458337611yescharacteristic
697C2#1914837412yes—
698C2#1914847312yes—
subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingC43×#2344C2
socle, cosocleC23×C43C25
prime radicalC24×C43C24
hypercenter#2344D43
hypocenterC43#34209
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2344

Complements

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

NH ≅ G/Ntype
3. #19137654C2semidirect
4. #19137650C2semidirect
5. #19137648C2semidirect
11. #19137310C2semidirect
13. #19137166C2semidirect
14. C4×#13063324C2semidirect
19. C2×#13063324C4semidirect
334. C4×C43#519semidirect
343. Dic43#519semidirect
434. C43#34209semidirect
692. C4#14583376semidirect

Maximal subgroups

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

subgroupindex
C22×#130633242
C2×#145833762
#191376542
#191376502
#191376482
#191374662
#191374652
#191374642
#191374622
#191374592
#191373102
#191371802
#191371662
C4×#130633242
#191369972
C4×#130632812
C43×#23442
#3420943