Finite Group Databasebeta

← #25132978

Subgroups — #25132978

Order 11008.

1146 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583608C211yesmaximal, characteristic, complemented
2C2×#14583188C211yesmaximal, characteristic, complemented
3C2×#14582979C211yesmaximal, characteristic
4#19139516C211yesmaximal, characteristic, complemented
5#19135935C211yesmaximal, characteristic, complemented
6#19135933C211yesmaximal, characteristic, complemented
7#19135742C211yesmaximal, characteristic, complemented
8#19135740C211yesmaximal, characteristic, complemented
9#19135554C211yesmaximal, characteristic, complemented
10#19135529C211yesmaximal, characteristic, complemented
11#19134943C211yesmaximal, characteristic
12#19134941C211yesmaximal, characteristic
13#19134854C211yesmaximal, characteristic, complemented
14#19134593C211yesmaximal, characteristic, complemented
15C43×#1864C211yesmaximal, characteristic, complemented
16C22×#10621882C2211yescharacteristic
17#14583608—24no—
18#14583608—24no—
19C2×#13063324C2211yescharacteristic
20C2×#13063317C2211yescharacteristic
21C2×#13063316C2211yescharacteristic
22C2×#13063304—21no—
23C2×#13063303—21no—
24C2×#13063302—21no—
25C2×#13063302—21no—
26C2×C4×Dic86C2211yescharacteristic
27C2×D4×Dic43C2211yescharacteristic
28C2×D4×Dic43C2211yescharacteristic
29C2×#13063287C2211yescharacteristic
30C22×Dic43⋊C4—21no—
31#14583188—24no—
32#14582979—24no—
33C2×#13063258C2211yescharacteristic
34C2×#13063256C2211yescharacteristic
35C2×Dic43⋊C8C2211yescharacteristic
36C2×#13063247C2211yescharacteristic
37C2×#13063247C2211yescharacteristic
38C2×#13063246C2211yescharacteristic
39C2×#13063245C2211yescharacteristic
40C2×C8×Dic43C2211yescharacteristic
41#14582823—21no—
42#14582821—21no—
43#14582801C2211yescharacteristic
44#14582800C2211yescharacteristic
45#14582795C2211yescharacteristic
46#14582768C2211yescharacteristic
47#14582758—21no—
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582654C2211yescharacteristic
54#14582653C2211yescharacteristic
55#14582653C2211yescharacteristic
56C2×C4×D4×C43C2211yescharacteristic
57C2×#106×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C2×#102×C43C2211yescharacteristic
60C43×#389C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C43×#336C2211yescharacteristic
63C22×Dic86—21no—
64C22×Dic86D411yescharacteristic
65C22×D172C2311yescharacteristic
66C23×Dic43—21no—
67C23×Dic43—21no—
68C22×C4×D43—21no—
69C2×#10621882—22no—
70C2×#10621882—22no—
71C2×#10621882Q814yescomplemented
72C22×C43⋊C8C2311yescharacteristic
73C22×C43⋊C8C2311yescharacteristic
74#13063324—22no—
75#13063324D414yes—
76#13063317—22no—
77#13063317—22no—
78#13063316—22no—
79#13063316—22no—
80#13063304—28no—
81#13063303—44no—
82#13063302—28no—
83#13063302—28no—
84C4×Dic86—22no—
85C4×Dic86—22no—
86D4×Dic43—22no—
87D4×Dic43—22no—
88D4×Dic43—22no—
89D4×Dic43D414yes—
90#13063287—22no—
91#13063287—22no—
92C2×C4⋊Dic43—21no—
93C2×C4⋊Dic43D411yescharacteristic
94C2×C4⋊Dic43C2311yescharacteristic
95C2×C4⋊Dic43C2311yescharacteristic
96C2×C4⋊Dic43C2311yescharacteristic
97C2×Dic43⋊C4—28no—
98C2×Dic43⋊C4—21no—
99C2×Dic43⋊C4—21no—
100C2×Dic43⋊C4—21no—
101C2×Dic43⋊C4—21no—
102C2×Dic43⋊C4—21no—
103C2×Dic43⋊C4—21no—
104C2×Dic43⋊C4—21no—
105C2×Dic43⋊C4D411yescharacteristic
106C2×Dic43⋊C4D411yescharacteristic
107C2×C22⋊Dic43—21no—
108C2×C22⋊Dic43—21no—
109C2×(C2×D43)⋊C4—21no—
110C2×(C2×D43)⋊C4—21no—
111C2×(C2×D43)⋊C4—21no—
112C2×(C2×D43)⋊C4—21no—
113C2×(C2×D43)⋊C4—21no—
114C2×C4×Dic43C2311yescharacteristic
115C2×C4×Dic43C2311yescharacteristic
116#13063258—22no—
117#13063256—22no—
118Dic43⋊C8—22no—
119#13063247—22no—
120#13063247—22no—
121#13063246—22no—
122#13063245—22no—
123C8×Dic43—22no—
124C43⋊#95—21no—
125C22×D4×C43C2311yescharacteristic
126C23×C4×C43—21no—
127C22×C8×C43C2311yescharacteristic
128C22×C8×C43C2311yescharacteristic
129C4×D4×C43—22no—
130C4×D4×C43—22no—
131C2×C4⋊C4×C43—21no—
132C2×C4⋊C4×C43C2311yescharacteristic
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C22⋊C4×C43—21no—
136C2×C42×C43C2311yescharacteristic
137#106×C43—22no—
138#102×C43—22no—
139#102×C43—22no—
140#95×C43—21no—
141C24×C43—21no—
142C23×D43—21no—
143C2×D4×C43—21no—
144C2×D4×C43—21no—
145C2×D4×C43—21no—
146C2×D4×C43C2×D412yes—
147C2×D4×C43C2×Q812yes—
148C2×D4×C43#4112yes—
149C22×C4×C43—24no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—81no—
154C22×C4×C43—81no—
155C22×C4×C43C2×D411yescharacteristic
156C22×C4×C43C2×D411yescharacteristic
157C22×C4×C43C2411yescharacteristic
158C22×Dic43—24no—
159C22×Dic43—24no—
160C22×Dic43—21no—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43—42no—
164C22×Dic43—42no—
165C22×Dic43—81no—
166C22×Dic43—81no—
167C22×Dic43C2×D411yescharacteristic
168C22×Dic43C2×D411yescharacteristic
169C22×Dic43C2×D411yescharacteristic
170C22×Dic43C2×D411yescharacteristic
171C2×D172—21no—
172C2×D172—21no—
173C2×D172—21no—
174C2×D172—21no—
175C2×D172—21no—
176C2×D172C2×Q812yes—
177C2×C4×D43—42no—
178C2×C4×D43—42no—
179C2×C4×D43—42no—
180C2×Dic86—22no—
181C2×Dic86—22no—
182C2×Dic86—22no—
183C2×Dic86—24no—
184C2×Dic86—81no—
185C2×Dic86—81no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—21no—
197C4⋊C4×C43—42no—
198C4⋊C4×C43C2×D412yes—
199C22⋊C4×C43—24no—
200C42×C43—21no—
201C42×C43—21no—
202C22⋊Dic43—24no—
203C22⋊Dic43—24no—
204#10621882—28no—
205(C2×D43)⋊C4—42no—
206(C2×D43)⋊C4—42no—
207(C2×D43)⋊C4—42no—
208(C2×D43)⋊C4—81no—
209(C2×D43)⋊C4—81no—
210C4⋊Dic43—24no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—22no—
214C4⋊Dic43—21no—
215C4⋊Dic43—21no—
216C4⋊Dic43C2×D412yes—
217C4⋊Dic43C2×D412yes—
218Dic43⋊C4—24no—
219Dic43⋊C4—24no—
220Dic43⋊C4—24no—
221Dic43⋊C4—22no—
222Dic43⋊C4—24no—
223Dic43⋊C4—22no—
224Dic43⋊C4—42no—
225Dic43⋊C4—42no—
226Dic43⋊C4—81no—
227C4×Dic43—21no—
228C4×Dic43—21no—
229C4×Dic43C2×D412yes—
230C4×Dic43C2×D412yes—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8C2×Q812yes—
237C23×C43—22no—
238C23×C43—22no—
239C23×C43—22no—
240C23×C43—41no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43C22×D411yescharacteristic
245C22×D43—22no—
246C22×D43—41no—
247C22×D43—41no—
248C22×D43—41no—
249C22×D43—41no—
250C22×D43—41no—
251C22×D43—41no—
252D4×C43—22no—
253D4×C43—22no—
254D4×C43—22no—
255D4×C43C22⋊Q814yescomplemented
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—22no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—84no—
272C2×C4×C43C22×D411yescharacteristic
273C2×C4×C43C22×D411yescharacteristic
274C2×C4×C43C22×Q811yescharacteristic
275C2×C4×C43C2×#4111yescharacteristic
276C2×C4×C432−1+411yescharacteristic
277C2×C4×C432−1+411yescharacteristic
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—22no—
283C2×Dic43—22no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—48no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—84no—
297C2×Dic43#12012yes—
298C2×Dic43#12012yes—
299C2×Dic43#13512yes—
300C2×Dic43AGL(1,ℤ/8)12yes—
301D172—22no—
302D172—22no—
303D172—41no—
304D172—41no—
305C4×D43—84no—
306Dic86—44no—
307Dic86—84no—
308C8×C43—41no—
309C8×C43—41no—
310C43⋊C8—22no—
311C43⋊C8—41no—
312#24327—431nomaximal, Sylow
313C22×C43—24no—
314C22×C43—42no—
315C22×C43—42no—
316C22×C43—42no—
317C22×C43—42no—
318C22×C43—42no—
319C22×C43—42no—
320C22×C43C2×#12011yescharacteristic
321C22×C43#54811yescharacteristic
322C22×C43D4×Q811yescharacteristic
323C22×C43C2×#13511yescharacteristic
324C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
325C22×C43#57611yescharacteristic
326C22×C43#57711yescharacteristic
327C2×D43—42no—
328C2×D43—42no—
329C2×D43—42no—
330C2×D43—81no—
331C2×D43—81no—
332C2×D43—81no—
333C2×D43—81no—
334C4×C43—41no—
335C4×C43—42no—
336C4×C43—41no—
337C4×C43—81no—
338C4×C43—81no—
339C4×C43C2×C22⋊Q811yescharacteristic
340C4×C43#53611yescharacteristic
341C4×C43#54811yescharacteristic
342C4×C43D4×Q811yescharacteristic
343Dic43—22no—
344Dic43—41no—
345Dic43—42no—
346Dic43—42no—
347Dic43—41no—
348Dic43—81no—
349Dic43#44914yes—
350C2×#554—431no—
351C2×#476—431no—
352C2×C4×D8—431no—
353#2538—431no—
354#2059—431no—
355#2059—431no—
356#2025—431no—
357#2025—431no—
358#1990—431no—
359#1984—431no—
360#1879—431no—
361#1879—431no—
362#1864—431no—
363#1864D4311yescharacteristic, complemented
364#1802—431no—
365C2×C43—44no—
366C2×C43#240911yescharacteristic
367C2×C43C2×#44911yescharacteristic
368C2×C43#301211yescharacteristic
369C2×C43#336011yescharacteristic
370C2×C43#336611yescharacteristic
371C2×C43#338011yescharacteristic
372C2×C43#338411yescharacteristic
373D43—82no—
374C22×D8—431no—
375#554—864no—
376#554—864no—
377C2×C4⋊Q8—431no—
378C2×#125—431no—
379C2×#125—431no—
380C2×C22⋊Q8—861no—
381C2×C22⋊Q8—861no—
382C2×C22⋊Q8—861no—
383C2×C22⋊Q8—861no—
384C2×C4×Q8—431no—
385C2×C4×D4—431no—
386C2×C4×D4—431no—
387C2×C4×D4—431no—
388C2×C4×D4C2×D4311yescharacteristic
389C22×C4⋊C4—861no—
390#476—864no—
391C4×D8—864no—
392C2×#107—431no—
393C2×#106—431no—
394C2×#106C2×D4311yescharacteristic
395C2×C4⋊C8—431no—
396C2×#102—431no—
397C2×#102—431no—
398C2×#102—431no—
399C2×#102—431no—
400C2×#102C2×D4311yescharacteristic
401C2×#102C2×D4311yescharacteristic
402C2×C4×C8—431no—
403#396—861no—
404#396—861no—
405#390—431no—
406#390—431no—
407#389—431no—
408#389C2×D4311yescharacteristic
409#384—431no—
410#380—861no—
411#340—431no—
412#340—431no—
413#340—431no—
414#340—431no—
415#340—431no—
416#340C2×D4311yescharacteristic
417#336—431no—
418#336—431no—
419#336—431no—
420#336C2×D4311yescharacteristic
421C43#2432711yescharacteristic, complemented, Sylow
422C22×Q8—431no—
423C22×Q8—861no—
424C22×D4—431no—
425C22×D4C22×D4311yescharacteristic
426C23×C4—21no—
427C23×C4—861no—
428C23×C4—861no—
429C23×C4—861no—
430C2×D8—434no—
431C2×D8—862no—
432C2×D8—862no—
433C22×C8—431no—
434C22×C8—431no—
435C22×C8C22×D4311yescharacteristic
436C22×C8C22×D4311yescharacteristic
437C4⋊Q8—434no—
438C4⋊Q8—862no—
439#125—862no—
440#125—862no—
441#125—862no—
442#125—862no—
443C22⋊Q8—868no—
444C22⋊Q8—868no—
445C22⋊Q8—868no—
446C22⋊Q8—1724no—
447C4×Q8—862no—
448C4×Q8—862no—
449C4×D4—22no—
450C4×D4—22no—
451C4×D4—434no—
452C4×D4—862no—
453C4×D4—862no—
454C4×D4—862no—
455C4×D4—862no—
456C4×D4—862no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—431no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4—431no—
461C2×C4⋊C4—431no—
462C2×C4⋊C4—431no—
463C2×C4⋊C4—431no—
464C2×C4⋊C4—861no—
465C2×C4⋊C4—861no—
466C2×C4⋊C4—861no—
467C2×C4⋊C4—868no—
468C2×C4⋊C4—861no—
469C2×C4⋊C4—861no—
470C2×C4⋊C4—861no—
471C2×C4⋊C4—861no—
472C2×C4⋊C4—861no—
473C2×C4⋊C4C22×D4311yescharacteristic
474C2×C4⋊C4C22×D4311yescharacteristic
475C2×C4⋊C4C22×D4311yescharacteristic
476C2×C22⋊C4—21no—
477C2×C22⋊C4—861no—
478C2×C22⋊C4—861no—
479C2×C22⋊C4—861no—
480C2×C22⋊C4—861no—
481C2×C22⋊C4—861no—
482C2×C22⋊C4—861no—
483C2×C22⋊C4—861no—
484C2×C42—431no—
485C2×C42—431no—
486C2×C42C22×D4311yescharacteristic
487#107—862no—
488#106—22no—
489#106—862no—
490C4⋊C8—862no—
491#102—22no—
492#102—22no—
493#102—862no—
494#102—862no—
495#102—862no—
496#102—862no—
497C4×C8—862no—
498#95—21no—
499#95—861no—
500C24—21no—
501C24—861no—
502C2×Q8—864no—
503C2×Q8—862no—
504C2×Q8—862no—
505C2×Q8—862no—
506C2×Q8—3441no—
507C2×Q8—3441no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—432no—
512C2×D4—861no—
513C2×D4—861no—
514C2×D4—861no—
515C2×D4—861no—
516C2×D4—861no—
517C2×D4#1062189812yes—
518C2×D4D4×D4312yes—
519C2×D4Q8×D4312yes—
520C22×C4—21no—
521C22×C4—24no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—81no—
525C22×C4—81no—
526C22×C4—431no—
527C22×C4—431no—
528C22×C4—431no—
529C22×C4—431no—
530C22×C4—864no—
531C22×C4—864no—
532C22×C4—861no—
533C22×C4—861no—
534C22×C4—861no—
535C22×C4—3441no—
536C22×C4—3441no—
537C22×C4—1722no—
538C22×C4—1722no—
539C22×C4—1722no—
540C22×C4—1722no—
541C22×C4—1722no—
542C22×C4D4×D4311yescharacteristic
543C22×C4D4×D4311yescharacteristic
544C22×C4C23×D4311yescharacteristic
545D8—868no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—432no—
553C2×C8—861no—
554C2×C8—861no—
555C2×C8—861no—
556C2×C8—861no—
557C2×C8—861no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—42no—
564C4⋊C4—432no—
565C4⋊C4—432no—
566C4⋊C4—862no—
567C4⋊C4—862no—
568C4⋊C4—862no—
569C4⋊C4—864no—
570C4⋊C4—864no—
571C4⋊C4—864no—
572C4⋊C4—864no—
573C4⋊C4—864no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C4⋊C4—861no—
577C4⋊C4—861no—
578C4⋊C4—3441no—
579C4⋊C4—1722no—
580C4⋊C4—1722no—
581C4⋊C4D4×D4312yes—
582C22⋊C4—24no—
583C22⋊C4—864no—
584C22⋊C4—864no—
585C22⋊C4—3441no—
586C22⋊C4—3441no—
587C22⋊C4—1722no—
588C22⋊C4—1722no—
589C22⋊C4—1722no—
590C42—21no—
591C42—21no—
592C42—432no—
593C42—432no—
594C42—861no—
595C42—861no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—862no—
604C23—1721no—
605C23—1721no—
606C23—1721no—
607C23—1721no—
608C23—1721no—
609C23—1721no—
610C23C2×D4×D4311yescharacteristic
611Q8—3444no—
612Q8—1724no—
613D4—22no—
614D4—22no—
615D4—22no—
616D4—862no—
617D4—862no—
618D4—1721no—
619D4—1721no—
620D4#1306330314yescomplemented
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—84no—
637C2×C4—432no—
638C2×C4—432no—
639C2×C4—432no—
640C2×C4—432no—
641C2×C4—861no—
642C2×C4—861no—
643C2×C4—861no—
644C2×C4—861no—
645C2×C4—862no—
646C2×C4—862no—
647C2×C4—861no—
648C2×C4—861no—
649C2×C4—861no—
650C2×C4—861no—
651C2×C4—3444no—
652C2×C4—3444no—
653C2×C4—1728no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4—1721no—
660C2×C4—1721no—
661C2×C4C2×D4×D4311yescharacteristic
662C2×C4C2×D4×D4311yescharacteristic
663C2×C4C2×Q8×D4311yescharacteristic
664C2×C4C2×#1062189811yescharacteristic
665C2×C4#1306337211yescharacteristic
666C2×C4#1306337211yescharacteristic
667C8—41no—
668C8—41no—
669C8—862no—
670C8—1721no—
671C22—24no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—42no—
678C22—3441no—
679C22—3441no—
680C22—3441no—
681C22—3441no—
682C22—1722no—
683C22—1722no—
684C22—1722no—
685C22#120×D4311yescharacteristic
686C22#1458355811yescharacteristic
687C22#1458356211yescharacteristic
688C22#135×D4311yescharacteristic
689C22AGL(1,ℤ/8)×D4311yescharacteristic
690C22#1458370311yescharacteristic
691C22#1458370511yescharacteristic
692C4—41no—
693C4—41no—
694C4—42no—
695C4—81no—
696C4—81no—
697C4—434no—
698C4—862no—
699C4—3441no—
700C4—1721no—
701C4—1722no—
702C4—1721no—
703C4—1722no—
704C4C2×#1306330311yescharacteristic
705C4#1458347111yescharacteristic
706C4#1458355811yescharacteristic
707C4#1458356211yescharacteristic
708C2—44no—
709C2—3442no—
710C2#1913795911yescharacteristic
711C2#449×D4311yescharacteristic
712C2#1914390011yescharacteristic
713C2#1914724511yescharacteristic
714C2#1914730311yescharacteristic
715C2#1914745711yescharacteristic
716C2#1914748911yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1864C2
socleC23×C43C22×D4
prime radicalC22×#10621882C22
hypercenter#1864D43
hypocenterC43#24327
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1864

Complements

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

NH ≅ G/Ntype
1. C2×#14583608C2semidirect
2. C2×#14583188C2semidirect
4. #19139516C2semidirect
5. #19135935C2semidirect
6. #19135933C2semidirect
7. #19135742C2semidirect
8. #19135740C2semidirect
9. #19135554C2semidirect
10. #19135529C2semidirect
13. #19134854C2semidirect
14. #19134593C2semidirect
15. C43×#1864C2semidirect
71. C2×#10621882Q8semidirect
255. D4×C43C22⋊Q8semidirect
363. #1864D43semidirect
421. C43#24327semidirect
620. D4#13063303semidirect

Maximal subgroups

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

subgroupindex
C2×#145836082
C2×#145831882
C2×#145829792
#191395162
#191359352
#191359332
#191357422
#191357402
#191355542
#191355292
#191349432
#191349412
#191348542
#191345932
C43×#18642
#2432743