Finite Group Databasebeta

← #25265387

Subgroups — #25265387

Order 11008.

2598 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583452C211yesmaximal, characteristic, complemented
2#19138313C212yesmaximal, complemented
3#19138302C212yesmaximal, complemented
4#19138291C212yesmaximal, complemented
5#19138280C212yesmaximal, complemented
6#19138265C214yesmaximal, complemented
7#19138256C214yesmaximal
8#19137863C214yesmaximal, complemented
9C4×#13063304C214yesmaximal, complemented
10#19137079C211yesmaximal, characteristic, complemented
11#19137077C211yesmaximal, characteristic, complemented
12#19136998C211yesmaximal, characteristic, complemented
13#19136978C211yesmaximal, characteristic
14C2×C4×C22⋊Dic43C211yesmaximal, characteristic
15C22×#117×C43C211yesmaximal, characteristic
16#14583452—28no—
17C2×#13063324C2212yescomplemented
18C2×#13063316C2212yescomplemented
19C2×#13063304C2214yes—
20C2×#13063302C2214yes—
21C2×C4×Dic86C2214yescomplemented
22C2×#13063284C2211yescharacteristic
23C2×#13063284C2211yescharacteristic
24C22×C22⋊Dic43C2212yes—
25C22×C4×Dic43C2211yescharacteristic
26C22×C4×Dic43C2211yescharacteristic
27#14582838C2214yescomplemented
28#14582835C2214yes—
29#14582832C2214yescomplemented
30#14582832C2214yescomplemented
31#14582822C2214yes—
32#14582822C2214yes—
33#14582819C2214yescomplemented
34#14582811C2214yes—
35#14582805C2214yescomplemented
36#14582798C2212yescomplemented
37#14582798C2212yescomplemented
38#14582797C2214yescomplemented
39#14582795C2212yescomplemented
40#14582795C2212yescomplemented
41#14582783C2214yescomplemented
42#14582783C2214yescomplemented
43#14582774C2214yes—
44#14582772C2214yes—
45#14582772C2214yes—
46#14582771C2214yes—
47#14582768C2212yescomplemented
48#14582764C2212yescomplemented
49#14582762C2212yes—
50#14582759C2214yes—
51#14582759C2212yes—
52#14582759C2212yes—
53#14582757C2214yes—
54#14582755C2212yes—
55C4×Dic43⋊C4C2214yescomplemented
56C4×Dic43⋊C4C2214yescomplemented
57C4×C4⋊Dic43C2214yescomplemented
58C4×C22⋊Dic43C2211yescharacteristic
59C4×C22⋊Dic43C2212yes—
60C4×C22⋊Dic43C2212yes—
61C4×C22⋊Dic43C2212yes—
62C4×C22⋊Dic43C2212yes—
63C4×C22⋊Dic43C2211yescharacteristic
64C4×C22⋊Dic43C2211yescharacteristic
65C4×C22⋊Dic43C2211yescharacteristic
66C2×C43⋊#95C2212yes—
67C24×C4×C43C2211yescharacteristic
68C2×#117×C43—28no—
69C2×#117×C43C2211yescharacteristic
70C2×#117×C43C2212yes—
71C2×#117×C43C2212yes—
72C2×#117×C43C2212yes—
73C2×#117×C43C2211yescharacteristic
74C22×C4⋊C4×C43C2212yes—
75C22×C22⋊C4×C43C2212yes—
76C22×C42×C43C2212yes—
77C22×Dic86C2314yes—
78C23×Dic43C2312yes—
79C23×Dic43C2312yes—
80#13063324—28no—
81#13063316—28no—
82#13063304—216no—
83#13063302—216no—
84C4×Dic86—216no—
85#13063284—24no—
86#13063284—24no—
87C2×C4⋊Dic43C2312yes—
88C2×C4⋊Dic43C2314yes—
89C2×C4⋊Dic43C2314yes—
90C2×C4⋊Dic43C2312yes—
91C2×C4⋊Dic43C2314yes—
92C2×Dic43⋊C4C2314yes—
93C2×Dic43⋊C4C2314yes—
94C2×Dic43⋊C4C2314yes—
95C2×Dic43⋊C4C2314yes—
96C2×Dic43⋊C4C2314yes—
97C2×Dic43⋊C4C2314yes—
98C2×C22⋊Dic43—28no—
99C2×C22⋊Dic43C2312yes—
100C2×C22⋊Dic43C2312yes—
101C2×C22⋊Dic43C2312yes—
102C2×C22⋊Dic43C2312yes—
103C2×C22⋊Dic43C2312yes—
104C2×C22⋊Dic43C2314yes—
105C2×C22⋊Dic43C2314yes—
106C2×C22⋊Dic43C2312yes—
107C2×C4×Dic43—24no—
108C2×C4×Dic43—24no—
109C2×C4×Dic43C2311yescharacteristic
110C2×C4×Dic43C2311yescharacteristic
111C2×C4×Dic43C2311yescharacteristic
112C2×C4×Dic43C2311yescharacteristic
113C2×C4×Dic43C2312yes—
114C2×C4×Dic43C2312yes—
115C2×C4×Dic43C2312yes—
116C2×C4×Dic43C2312yes—
117C43⋊#95C2314yes—
118C43⋊#95C2314yes—
119C43⋊#95C2312yes—
120C43⋊#95C2314yes—
121C43⋊#95C2314yes—
122C43⋊#95C2314yes—
123C43⋊#95C2312yes—
124C43⋊#95C2314yes—
125C43⋊#95C2314yes—
126C43⋊#95C2312yes—
127C43⋊#95C2314yes—
128C43⋊#95C2312yes—
129C25×C43C2311yescharacteristic
130C23×C4×C43—24no—
131C23×C4×C43—24no—
132C23×C4×C43Q818yescomplemented
133C23×C4×C43C2314yes—
134C23×C4×C43C2311yescharacteristic
135C23×C4×C43C2311yescharacteristic
136C23×C4×C43C2311yescharacteristic
137C23×C4×C43C2311yescharacteristic
138C23×C4×C43C2311yescharacteristic
139C23×C4×C43C2311yescharacteristic
140#117×C43—24no—
141#117×C43—28no—
142#117×C43—28no—
143#117×C43—28no—
144#117×C43D418yes—
145C2×C4⋊C4×C43—28no—
146C2×C4⋊C4×C43C2312yes—
147C2×C4⋊C4×C43C2314yes—
148C2×C4⋊C4×C43C2312yes—
149C2×C22⋊C4×C43—28no—
150C2×C22⋊C4×C43C2314yes—
151C2×C22⋊C4×C43C2312yes—
152C2×C22⋊C4×C43C2312yes—
153C2×C42×C43—28no—
154C2×C42×C43C2314yes—
155C2×C42×C43C2312yes—
156C2×C42×C43C2312yes—
157C24×C43—22no—
158C24×C43—22no—
159C24×C43—24no—
160C24×C43—42no—
161C24×C43C2×Q814yes—
162C24×C43C2411yescharacteristic
163C24×C43C2411yescharacteristic
164C24×C43C2411yescharacteristic
165C22×C4×C43—232no—
166C22×C4×C43—22no—
167C22×C4×C43—22no—
168C22×C4×C43—22no—
169C22×C4×C43—22no—
170C22×C4×C43—22no—
171C22×C4×C43—22no—
172C22×C4×C43—22no—
173C22×C4×C43—22no—
174C22×C4×C43—28no—
175C22×C4×C43—22no—
176C22×C4×C43—22no—
177C22×C4×C43—28no—
178C22×C4×C43—44no—
179C22×C4×C43C2×D414yes—
180C22×C4×C43C2×Q814yes—
181C22×C4×C43C2×Q814yes—
182C22×C4×C43C2×Q814yes—
183C22×C4×C43C2×Q814yes—
184C22×C4×C43C2×Q814yes—
185C22×C4×C43C2×Q814yes—
186C22×C4×C43#4114yes—
187C22×C4×C43C2414yes—
188C22×C4×C43C2414yes—
189C22×C4×C43C2411yescharacteristic
190C22×C4×C43C2411yescharacteristic
191C22×C4×C43C2411yescharacteristic
192C22×C4×C43C2411yescharacteristic
193C22×Dic43—24no—
194C22×Dic43—24no—
195C22×Dic43—24no—
196C22×Dic43—24no—
197C22×Dic43—42no—
198C22×Dic43—42no—
199C22×Dic43C2412yes—
200C22×Dic43C2414yes—
201C22×Dic43C2412yes—
202C22×Dic43C2414yes—
203C22×Dic43C2412yes—
204C22×Dic43C2412yes—
205C2×Dic86—28no—
206C2×Dic86—28no—
207C2×Dic86—44no—
208C4⋊C4×C43—28no—
209C4⋊C4×C43—24no—
210C4⋊C4×C43C2×D418yes—
211C22⋊C4×C43—28no—
212C22⋊C4×C43—24no—
213C22⋊C4×C43C2×D418yes—
214C42×C43—28no—
215C42×C43—24no—
216C42×C43C2×D418yes—
217C22⋊Dic43—24no—
218C22⋊Dic43—24no—
219C22⋊Dic43—24no—
220C22⋊Dic43—24no—
221C22⋊Dic43—24no—
222C22⋊Dic43—28no—
223C22⋊Dic43—44no—
224C22⋊Dic43#4118yes—
225C4⋊Dic43—24no—
226C4⋊Dic43—28no—
227C4⋊Dic43—24no—
228C4⋊Dic43—28no—
229C4⋊Dic43—44no—
230Dic43⋊C4—28no—
231Dic43⋊C4—28no—
232Dic43⋊C4—28no—
233Dic43⋊C4—28no—
234Dic43⋊C4—44no—
235Dic43⋊C4—44no—
236C4×Dic43—24no—
237C4×Dic43—22no—
238C4×Dic43—22no—
239C4×Dic43—24no—
240C4×Dic43—22no—
241C4×Dic43—24no—
242C4×Dic43—22no—
243C4×Dic43—24no—
244C23×C43—21no—
245C23×C43—22no—
246C23×C43—21no—
247C23×C43—22no—
248C23×C43—22no—
249C23×C43—28no—
250C23×C43—28no—
251C23×C43—21no—
252C23×C43—22no—
253C23×C43—21no—
254C23×C43—22no—
255C23×C43—44no—
256C23×C43—48no—
257C23×C43—48no—
258C23×C43C22×D412yes—
259C23×C43C22×Q812yes—
260C23×C43C22×Q812yes—
261C23×C43C22×Q812yes—
262C23×C43C2×#4114yes—
263C23×C43C2×#4112yes—
264C23×C43C2511yescharacteristic
265C2×C4×C43—28no—
266C2×C4×C43—21no—
267C2×C4×C43—21no—
268C2×C4×C43—24no—
269C2×C4×C43—21no—
270C2×C4×C43—21no—
271C2×C4×C43—24no—
272C2×C4×C43—28no—
273C2×C4×C43—28no—
274C2×C4×C43—28no—
275C2×C4×C43—28no—
276C2×C4×C43—24no—
277C2×C4×C43—24no—
278C2×C4×C43—24no—
279C2×C4×C43—416no—
280C2×C4×C43C22⋊Q8116yescomplemented
281C2×C4×C43C22×D418yes—
282C2×C4×C43C22×D412yes—
283C2×C4×C43C22×D412yes—
284C2×C4×C43C22×Q812yes—
285C2×C4×C43C22×Q812yes—
286C2×C4×C43C22×Q812yes—
287C2×C4×C43C22×Q812yes—
288C2×C4×C43C2×#4112yes—
289C2×C4×C43C2×#4112yes—
290C2×Dic43—22no—
291C2×Dic43—22no—
292C2×Dic43—22no—
293C2×Dic43—22no—
294C2×Dic43—22no—
295C2×Dic43—24no—
296C2×Dic43—22no—
297C2×Dic43—24no—
298C2×Dic43—24no—
299C2×Dic43—24no—
300C2×Dic43—22no—
301C2×Dic43—22no—
302C2×Dic43—22no—
303C2×Dic43—24no—
304C2×Dic43—24no—
305C2×Dic43—22no—
306C2×Dic43—48no—
307C2×Dic43—48no—
308C2×Dic43C2×#4114yes—
309C2×Dic43C2×#4114yes—
310Dic86—416no—
311#34739—431nomaximal, Sylow
312C22×C43—22no—
313C22×C43—22no—
314C22×C43—22no—
315C22×C43—22no—
316C22×C43—24no—
317C22×C43—24no—
318C22×C43—24no—
319C22×C43—24no—
320C22×C43—22no—
321C22×C43—22no—
322C22×C43—22no—
323C22×C43—416no—
324C22×C43—42no—
325C22×C43—42no—
326C22×C43C2×C22⋊Q814yes—
327C22×C43#53314yescomplemented
328C22×C43C23×D411yescharacteristic
329C22×C43C23×Q811yescharacteristic
330C22×C43C22×#4112yes—
331C22×C43C22×#4111yescharacteristic
332C22×C43#58512yes—
333C4×C43—22no—
334C4×C43—22no—
335C4×C43—28no—
336C4×C43—44no—
337C4×C43C2×C22⋊Q814yes—
338C4×C43C2×C22⋊Q814yes—
339Dic43—24no—
340Dic43—24no—
341Dic43—44no—
342Dic43—42no—
343Dic43—44no—
344Dic43—42no—
345C2×#533—431no—
346C22×#117D4311yescharacteristic
347#2442—432no—
348#2441—432no—
349#2440—432no—
350#2439—432no—
351#2438—434no—
352#2437—434no—
353#2396—434no—
354C4×C22⋊Q8—434no—
355#2296—431no—
356#2296—431no—
357#2285—431no—
358#2280—431no—
359C2×C4×C22⋊C4—431no—
360C2×C43—24no—
361C2×C43—24no—
362C2×C43—42no—
363C2×C43C22×C22⋊Q811yescharacteristic
364C2×C43C2×#53311yescharacteristic
365C2×C43#345811yescharacteristic
366C2×C43D4×#4112yes—
367C2×C43#347512yes—
368C24×C4C2×D4311yescharacteristic
369#533—868no—
370C2×C4⋊Q8—432no—
371C2×#125—432no—
372C2×C22⋊Q8—434no—
373C2×C22⋊Q8—434no—
374C2×C4×Q8—434no—
375C2×#117—28no—
376C2×#117—431no—
377C2×#117—431no—
378C2×#117C2×D4312yes—
379C2×#117C2×D4312yes—
380C2×#117C2×D4312yes—
381C2×#117C2×D4311yescharacteristic
382C2×#117C2×D4311yescharacteristic
383C22×C4⋊C4C2×D4312yes—
384C22×C22⋊C4—432no—
385C22×C22⋊C4C2×D4312yes—
386C22×C42—431no—
387C22×C42—431no—
388C22×C42C2×D4312yes—
389#400—434no—
390#399—434no—
391#398—434no—
392#398—434no—
393#396—434no—
394#396—434no—
395#395—434no—
396#393—434no—
397#391—434no—
398#389—432no—
399#389—432no—
400#389—432no—
401#389—432no—
402#389—434no—
403#387—434no—
404#387—434no—
405#385—434no—
406#385—434no—
407#385—434no—
408#385—434no—
409#384—432no—
410#382—432no—
411#381—432no—
412#380—434no—
413#380—432no—
414#380—432no—
415#380—434no—
416#379—432no—
417C4×C4⋊C4—434no—
418C4×C4⋊C4—434no—
419C4×C4⋊C4—434no—
420C4×C22⋊C4—432no—
421C4×C22⋊C4—432no—
422C4×C22⋊C4—431no—
423C4×C22⋊C4—431no—
424C4×C22⋊C4—431no—
425C4×C22⋊C4—431no—
426C4×C22⋊C4—432no—
427C4×C22⋊C4—432no—
428C2×#95—432no—
429C43#3473911yescharacteristic, complemented, Sylow
430C25C22×D4311yescharacteristic
431C22×Q8—434no—
432C23×C4—24no—
433C23×C4—24no—
434C23×C4—432no—
435C23×C4—432no—
436C23×C4Dic8618yescomplemented
437C23×C4C22×D4314yes—
438C23×C4C22×D4311yescharacteristic
439C23×C4C22×D4311yescharacteristic
440C23×C4C22×D4311yescharacteristic
441C23×C4C22×D4311yescharacteristic
442C23×C4C22×D4311yescharacteristic
443C23×C4C22×D4311yescharacteristic
444C4⋊Q8—868no—
445#125—868no—
446C22⋊Q8—8616no—
447C22⋊Q8—8616no—
448C4×Q8—8616no—
449#117—24no—
450#117—28no—
451#117—28no—
452#117—28no—
453#117—864no—
454#117—864no—
455#117C22⋊D4318yes—
456C2×C4⋊C4—28no—
457C2×C4⋊C4—432no—
458C2×C4⋊C4—432no—
459C2×C4⋊C4—434no—
460C2×C4⋊C4—434no—
461C2×C4⋊C4—434no—
462C2×C4⋊C4—434no—
463C2×C4⋊C4—434no—
464C2×C4⋊C4—434no—
465C2×C4⋊C4—434no—
466C2×C4⋊C4—434no—
467C2×C4⋊C4—434no—
468C2×C4⋊C4C22×D4312yes—
469C2×C4⋊C4C22×D4314yes—
470C2×C4⋊C4C22×D4312yes—
471C2×C22⋊C4—28no—
472C2×C22⋊C4—432no—
473C2×C22⋊C4—432no—
474C2×C22⋊C4—432no—
475C2×C22⋊C4—432no—
476C2×C22⋊C4—432no—
477C2×C22⋊C4—432no—
478C2×C22⋊C4—434no—
479C2×C22⋊C4—434no—
480C2×C22⋊C4—868no—
481C2×C22⋊C4C22×D4312yes—
482C2×C22⋊C4C22×D4314yes—
483C2×C22⋊C4C22×D4312yes—
484C2×C42—28no—
485C2×C42—431no—
486C2×C42—431no—
487C2×C42—431no—
488C2×C42—431no—
489C2×C42—432no—
490C2×C42—432no—
491C2×C42—432no—
492C2×C42—432no—
493C2×C42—864no—
494C2×C42—864no—
495C2×C42C22×D4314yes—
496C2×C42C22×D4312yes—
497C2×C42C22×D4312yes—
498#95—432no—
499#95—432no—
500#95—432no—
501#95—432no—
502#95—434no—
503#95—434no—
504#95—434no—
505#95—434no—
506#95—434no—
507#95—434no—
508#95—434no—
509#95—434no—
510C24—22no—
511C24—24no—
512C24—22no—
513C24—42no—
514C24C2×Dic8614yes—
515C24C23×D4311yescharacteristic
516C24C23×D4311yescharacteristic
517C24C23×D4311yescharacteristic
518C2×Q8—868no—
519C2×Q8—868no—
520C2×Q8—1724no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—232no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—28no—
533C22×C4—28no—
534C22×C4—44no—
535C22×C4—432no—
536C22×C4—432no—
537C22×C4—432no—
538C22×C4—434no—
539C22×C4—432no—
540C22×C4—434no—
541C22×C4—864no—
542C22×C4—864no—
543C22×C4—864no—
544C22×C4—864no—
545C22×C4—1722no—
546C22×C4—1722no—
547C22×C4C2×Dic8614yes—
548C22×C4C2×Dic8614yes—
549C22×C4C2×Dic8614yes—
550C22×C4C2×Dic8614yes—
551C22×C4C2×Dic8614yes—
552C22×C4C2×Dic8614yes—
553C22×C4#1062189814yes—
554C22×C4C2×C22⋊D4314yes—
555C22×C4C23×D4314yes—
556C22×C4C23×D4314yes—
557C22×C4C23×D4311yescharacteristic
558C22×C4C23×D4311yescharacteristic
559C22×C4C23×D4311yescharacteristic
560C22×C4C23×D4311yescharacteristic
561C4⋊C4—28no—
562C4⋊C4—24no—
563C4⋊C4—868no—
564C4⋊C4—868no—
565C4⋊C4—868no—
566C4⋊C4—864no—
567C4⋊C4—868no—
568C4⋊C4—868no—
569C4⋊C4—868no—
570C4⋊C4—864no—
571C4⋊C4—1724no—
572C4⋊C4—1724no—
573C4⋊C4—1724no—
574C4⋊C4C2×C22⋊D4318yes—
575C22⋊C4—24no—
576C22⋊C4—28no—
577C22⋊C4—438no—
578C22⋊C4—864no—
579C22⋊C4—864no—
580C22⋊C4—864no—
581C22⋊C4—864no—
582C22⋊C4—868no—
583C22⋊C4—864no—
584C22⋊C4—1724no—
585C22⋊C4C2×C22⋊D4318yes—
586C42—28no—
587C42—24no—
588C42—864no—
589C42—862no—
590C42—862no—
591C42—864no—
592C42—862no—
593C42—864no—
594C42—862no—
595C42—864no—
596C42C2×C22⋊D4318yes—
597C23—21no—
598C23—22no—
599C23—21no—
600C23—22no—
601C23—22no—
602C23—28no—
603C23—28no—
604C23—21no—
605C23—22no—
606C23—21no—
607C23—22no—
608C23—44no—
609C23—48no—
610C23—48no—
611C23C22×C22⋊D4312yes—
612C23C22×Dic8612yes—
613C23C22×Dic8612yes—
614C23C22×Dic8612yes—
615C23#41×D4314yes—
616C23C2×#1062189812yes—
617C23C24×D4311yescharacteristic
618Q8—17216no—
619C2×C4—28no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—24no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—24no—
626C2×C4—28no—
627C2×C4—28no—
628C2×C4—28no—
629C2×C4—28no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—416no—
634C2×C4—434no—
635C2×C4—434no—
636C2×C4—862no—
637C2×C4—862no—
638C2×C4—862no—
639C2×C4—862no—
640C2×C4—862no—
641C2×C4—864no—
642C2×C4—862no—
643C2×C4—862no—
644C2×C4—864no—
645C2×C4—864no—
646C2×C4—862no—
647C2×C4—864no—
648C2×C4—864no—
649C2×C4—864no—
650C2×C4—862no—
651C2×C4—862no—
652C2×C4—1728no—
653C2×C4—1728no—
654C2×C4#13063304116yescomplemented
655C2×C4C22×C22⋊D4318yes—
656C2×C4C22×C22⋊D4312yes—
657C2×C4C22×C22⋊D4312yes—
658C2×C4C22×Dic8612yes—
659C2×C4C22×Dic8612yes—
660C2×C4C22×Dic8612yes—
661C2×C4C22×Dic8612yes—
662C2×C4C2×#1062189812yes—
663C2×C4C2×#1062189812yes—
664C22—22no—
665C22—24no—
666C22—24no—
667C22—22no—
668C22—24no—
669C22—24no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—22no—
675C22—416no—
676C22—42no—
677C22—42no—
678C22C2×#1306330414yes—
679C22#1458345214yescomplemented
680C22C23×C22⋊D4311yescharacteristic
681C22C23×Dic8611yescharacteristic
682C22C2×#41×D4312yes—
683C22C22×#1062189811yescharacteristic
684C22#1458373512yes—
685C4—22no—
686C4—22no—
687C4—28no—
688C4—44no—
689C4—864no—
690C4—864no—
691C4—1722no—
692C4—1724no—
693C4—1722no—
694C4—1724no—
695C4C2×#1306330414yes—
696C4C2×#1306330414yes—
697C2—24no—
698C2—24no—
699C2—42no—
700C2C22×#1306330411yescharacteristic
701C2C2×#1458345211yescharacteristic
702C2#1914800011yescharacteristic
703C2#41×C22⋊D4312yes—
704C2#1914814912yes—
subgroupG/H
centerC22×C4C23×D43
commutator, socle, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC22×#117×C43C2
prime radicalC25×C43C23
hypercenterC22×#117D43
hypocenterC43#34739
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C22×#117

Complements

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

NH ≅ G/Ntype
1. C2×#14583452C2semidirect
2. #19138313C2semidirect
3. #19138302C2semidirect
4. #19138291C2semidirect
5. #19138280C2semidirect
6. #19138265C2semidirect
8. #19137863C2semidirect
9. C4×#13063304C2semidirect
10. #19137079C2semidirect
11. #19137077C2semidirect
12. #19136998C2semidirect
17. C2×#13063324C22semidirect
18. C2×#13063316C22semidirect
21. C2×C4×Dic86C22semidirect
27. #14582838C22semidirect
29. #14582832C22semidirect
30. #14582832C22semidirect
33. #14582819C22semidirect
35. #14582805C22semidirect
36. #14582798C22semidirect
37. #14582798C22semidirect
38. #14582797C22semidirect
39. #14582795C22semidirect
40. #14582795C22semidirect
41. #14582783C22semidirect
42. #14582783C22semidirect
47. #14582768C22semidirect
48. #14582764C22semidirect
55. C4×Dic43⋊C4C22semidirect
56. C4×Dic43⋊C4C22semidirect
57. C4×C4⋊Dic43C22semidirect
132. C23×C4×C43Q8semidirect
280. C2×C4×C43C22⋊Q8semidirect
327. C22×C43#533semidirect
429. C43#34739semidirect
436. C23×C4Dic86semidirect
654. C2×C4#13063304semidirect
679. C22#14583452semidirect

Maximal subgroups

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

subgroupindex
C2×#145834522
#191383132
#191383022
#191382912
#191382802
#191382652
#191382562
#191378632
C4×#130633042
#191370792
#191370772
#191369982
#191369782
C2×C4×C22⋊Dic432
C22×#117×C432
#3473943