Finite Group Databasebeta

← C2×#19135062 #25098421

Subgroups — C2×#19135062 #25098421

Order 11008.

1854 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D43C211yesmaximal, characteristic
2C22×#13063305C211yesmaximal, characteristic
3C22×#13063243C211yesmaximal, characteristic, complemented
4C22×#13063243C211yesmaximal, characteristic, complemented
5C2×#14582862C211yesmaximal, characteristic
6#19135062C218yesmaximal, direct product factor
7C2×#14582668C211yesmaximal, characteristic, complemented
8C2×C43×#343C211yesmaximal, characteristic, complemented
9C23×Dic86C2211yescharacteristic
10C23×C4×D43C2211yescharacteristic
11C22×#10621877C2211yescharacteristic
12C22×#10621877C2211yescharacteristic
13C22×#10621872—21no—
14C2×M16×D43—22no—
15C2×M16×D43—24no—
16C2×M16×D43—24no—
17C2×M16×D43C2214yes—
18C22×C8×D43—21no—
19C2×#13063305—21no—
20C2×#13063305—21no—
21C2×#13063305—22no—
22C2×#13063305—21no—
23C2×#13063305—22no—
24C2×#13063305—21no—
25C2×#13063305C414yes—
26C2×#13063305C2214yes—
27C22×C4⋊Dic43C412yes—
28C22×(C2×D43)⋊C4C412yes—
29C2×#13063243—24no—
30C2×#13063243—24no—
31C2×#13063243C2214yescomplemented
32C2×#13063243C2214yescomplemented
33#14582862—22no—
34#14582862C2214yes—
35C2×(C2×D43)⋊C8—21no—
36C2×(C2×D43)⋊C8—21no—
37#14582668C2214yescomplemented
38C22×M16×C43C2211yescharacteristic
39C22×M16×C43C2211yescharacteristic
40C22×C4⋊C4×C43C2211yescharacteristic
41C43×#343C2214yescomplemented
42C24×D43C2×C411yescharacteristic
43C22×Dic86—22no—
44C22×Dic86—22no—
45C22×Dic86—21no—
46C22×Dic86—21no—
47C22×Dic86—21no—
48C22×Dic86—21no—
49C22×Dic86—22no—
50C22×Dic86—22no—
51C22×Dic86C2×C412yes—
52C22×Dic86C2312yes—
53C23×Dic43C2×C412yes—
54C23×Dic43C2×C411yescharacteristic
55C22×C4×D43—22no—
56C22×C4×D43—22no—
57C22×C4×D43—22no—
58C22×C4×D43—22no—
59C22×C4×D43C2×C412yes—
60C22×C4×D43D411yescharacteristic
61C22×C4×D43D411yescharacteristic
62C22×C4×D43D412yes—
63C22×C4×D43D411yescharacteristic
64C22×C4×D43D412yes—
65C22×C4×D43D411yescharacteristic
66C22×C4×D43C2312yes—
67C2×#10621877—22no—
68C2×#10621877—21no—
69C2×#10621877—21no—
70C2×#10621877—22no—
71C2×#10621877—22no—
72C2×#10621877D414yes—
73C2×#10621877C2312yes—
74C2×#10621877C2312yes—
75C2×#10621872—28no—
76C2×#10621872—24no—
77M16×D43—216no—
78M16×D43—28no—
79M16×D43—28no—
80C22×C43⋊C8—21no—
81C22×C43⋊C8—21no—
82C2×C8×D43—28no—
83C2×C8×D43—24no—
84#13063305—24no—
85#13063305—24no—
86#13063305—24no—
87#13063305—24no—
88#13063305—24no—
89#13063305—24no—
90#13063305—24no—
91#13063305—24no—
92C2×C4⋊Dic43—24no—
93C2×C4⋊Dic43—22no—
94C2×C4⋊Dic43—22no—
95C2×C4⋊Dic43C2×C418yes—
96C2×(C2×D43)⋊C4—22no—
97C2×(C2×D43)⋊C4—24no—
98C2×(C2×D43)⋊C4—22no—
99C2×(C2×D43)⋊C4C2×C418yes—
100#13063243—28no—
101#13063243—28no—
102(C2×D43)⋊C8—24no—
103(C2×D43)⋊C8—24no—
104C23×C4×C43C2×C412yes—
105C23×C4×C43C2311yescharacteristic
106C2×M16×C43—22no—
107C2×M16×C43—21no—
108C2×M16×C43—21no—
109C2×M16×C43—22no—
110C2×M16×C43—22no—
111C2×M16×C43D414yes—
112C2×M16×C43C2312yes—
113C2×M16×C43C2312yes—
114C22×C8×C43—21no—
115C22×C8×C43—21no—
116C2×C4⋊C4×C43—21no—
117C2×C4⋊C4×C43—21no—
118C2×C4⋊C4×C43—21no—
119C2×C4⋊C4×C43—21no—
120C2×C4⋊C4×C43C2×C412yes—
121C2×C4⋊C4×C43C2312yes—
122C24×C43C22×C411yescharacteristic
123C23×D43—22no—
124C23×D43—22no—
125C23×D43—24no—
126C23×D43—42no—
127C23×D43C22⋊C411yescharacteristic
128C23×D43C22⋊C412yes—
129C23×D43C22⋊C411yescharacteristic
130C23×D43C22×C412yes—
131C22×C4×C43—22no—
132C22×C4×C43—22no—
133C22×C4×C43—44no—
134C22×C4×C43C22×C414yes—
135C22×C4×C43C22×C411yescharacteristic
136C22×C4×C43C2×D411yescharacteristic
137C22×C4×C43C2×D411yescharacteristic
138C22×C4×C43C2×D411yescharacteristic
139C22×C4×C43C2×D411yescharacteristic
140C22×C4×C43C2×D412yes—
141C22×C4×C43C2×D412yes—
142C22×C4×C43#4112yes—
143C22×C4×C43#4112yes—
144C22×C4×C43C2411yescharacteristic
145C22×Dic43—22no—
146C22×Dic43—22no—
147C22×Dic43—22no—
148C22×Dic43—22no—
149C22×Dic43—24no—
150C22×Dic43—24no—
151C22×Dic43C22⋊C412yes—
152C22×Dic43C22⋊C411yescharacteristic
153C22×Dic43C22⋊C411yescharacteristic
154C22×Dic43C22×C414yes—
155C22×Dic43C22×C412yes—
156C2×C4×D43—24no—
157C2×C4×D43—24no—
158C2×C4×D43—22no—
159C2×C4×D43—24no—
160C2×C4×D43—22no—
161C2×C4×D43—22no—
162C2×C4×D43—22no—
163C2×C4×D43—22no—
164C2×C4×D43—24no—
165C2×C4×D43—22no—
166C2×C4×D43—24no—
167C2×C4×D43—22no—
168C2×C4×D43—24no—
169C2×C4×D43—22no—
170C2×C4×D43—22no—
171C2×C4×D43—22no—
172C2×C4×D43—22no—
173C2×C4×D43—22no—
174C2×C4×D43C22⋊C412yes—
175C2×C4×D43C22⋊C412yes—
176C2×C4×D43C22⋊C412yes—
177C2×C4×D43C22⋊C412yes—
178C2×C4×D43C2×D412yes—
179C2×C4×D43C2×D412yes—
180C2×C4×D43C2×D412yes—
181C2×C4×D43C2×D412yes—
182C2×Dic86—22no—
183C2×Dic86—22no—
184C2×Dic86—24no—
185C2×Dic86—24no—
186C2×Dic86—22no—
187C2×Dic86—22no—
188C2×Dic86—22no—
189C2×Dic86—22no—
190C2×Dic86—22no—
191C2×Dic86—22no—
192C2×Dic86—42no—
193C2×Dic86—42no—
194C2×Dic86—42no—
195C2×Dic86—42no—
196C2×Dic86—42no—
197C2×Dic86—42no—
198C2×Dic86—42no—
199C2×Dic86—42no—
200M16×C43—24no—
201M16×C43—22no—
202M16×C43—22no—
203M16×C43—22no—
204M16×C43—42no—
205M16×C43C2×D414yes—
206C2×C8×C43—24no—
207C2×C8×C43—22no—
208C2×C8×C43—22no—
209C2×C8×C43—42no—
210C4⋊C4×C43—22no—
211C4⋊C4×C43—22no—
212C4⋊C4×C43—22no—
213C4⋊C4×C43—22no—
214(C2×D43)⋊C4—28no—
215(C2×D43)⋊C4—28no—
216C4⋊Dic43—28no—
217C4⋊Dic43—28no—
218#10621877—24no—
219#10621877—22no—
220#10621877—22no—
221#10621877—22no—
222#10621877—42no—
223#10621877C2×D414yes—
224C2×C43⋊C8—24no—
225C2×C43⋊C8—22no—
226C2×C43⋊C8—22no—
227C2×C43⋊C8—42no—
228#10621872—216no—
229C8×D43—216no—
230C23×C43—22no—
231C23×C43—22no—
232C23×C43C2×C22⋊C411yescharacteristic
233C23×C43C2×C22⋊C411yescharacteristic
234C23×C43C4×D412yes—
235C23×C43C4×D412yes—
236C23×C43C23×C411yescharacteristic
237C22×D43—22no—
238C22×D43—22no—
239C22×D43—22no—
240C22×D43—22no—
241C22×D43—24no—
242C22×D43—22no—
243C22×D43—22no—
244C22×D43—22no—
245C22×D43—24no—
246C22×D43—24no—
247C22×D43—42no—
248C22×D43—42no—
249C22×D43—48no—
250C22×D43—48no—
251C22×D43#10114yescomplemented
252C22×D43C2×C22⋊C412yes—
253C22×D43C2×C22⋊C412yes—
254C2×C4×C43—24no—
255C2×C4×C43—44no—
256C2×C4×C43—44no—
257C2×C4×C43—44no—
258C2×C4×C43C2×C22⋊C411yescharacteristic
259C2×C4×C43C2×C22⋊C411yescharacteristic
260C2×C4×C43C4×D412yes—
261C2×C4×C43C4×D412yes—
262C2×C4×C43#12012yes—
263C2×C4×C43#12012yes—
264C2×C4×C43#12112yes—
265C2×C4×C43#12112yes—
266C2×C4×C43#12112yes—
267C2×C4×C43#12112yes—
268C2×C4×C43#12312yes—
269C2×C4×C43#12312yes—
270C2×C4×C43C22×D411yescharacteristic
271C2×C4×C43C22×D411yescharacteristic
272C2×C4×C43C22×D411yescharacteristic
273C2×C4×C43C22×D411yescharacteristic
274C2×C4×C43C2×#4111yescharacteristic
275C2×C4×C43C2×#4111yescharacteristic
276C2×Dic43—22no—
277C2×Dic43—22no—
278C2×Dic43—24no—
279C2×Dic43—22no—
280C2×Dic43—22no—
281C2×Dic43—24no—
282C2×Dic43—24no—
283C2×Dic43—24no—
284C2×Dic43—44no—
285C2×Dic43—44no—
286C2×Dic43C2×C22⋊C412yes—
287C2×Dic43C2×C22⋊C412yes—
288C4×D43—22no—
289C4×D43—22no—
290C4×D43—22no—
291C4×D43—22no—
292C4×D43—22no—
293C4×D43—22no—
294C4×D43—22no—
295C4×D43—22no—
296C4×D43—24no—
297C4×D43—24no—
298C4×D43—24no—
299C4×D43—24no—
300Dic86—42no—
301Dic86—42no—
302Dic86—42no—
303Dic86—42no—
304Dic86—44no—
305Dic86—44no—
306C8×C43—24no—
307C8×C43—42no—
308C43⋊C8—24no—
309C43⋊C8—42no—
310C2×#1901—431nomaximal, Sylow
311C22×C43—21no—
312C22×C43—21no—
313C22×C43—21no—
314C22×C43—21no—
315C22×C43—24no—
316C22×C43—24no—
317C22×C43#38612yes—
318C22×C43#38612yes—
319C22×C43C2×#10112yes—
320C22×C43#41312yes—
321C22×C43C22×C22⋊C411yescharacteristic
322C22×C43C2×C4×D411yescharacteristic
323C22×C43C2×C4×D411yescharacteristic
324C2×D43—22no—
325C2×D43—28no—
326C2×D43—22no—
327C2×D43—22no—
328C2×D43—22no—
329C2×D43—22no—
330C2×D43—44no—
331C2×D43—44no—
332C2×D43—48no—
333C2×D43—44no—
334C2×D43C2×#10114yescomplemented
335C4×C43—44no—
336C4×C43#38612yes—
337C4×C43#38612yes—
338C4×C43C2×#12011yescharacteristic
339C4×C43C2×#12111yescharacteristic
340C4×C43C2×#12111yescharacteristic
341C4×C43C2×#12311yescharacteristic
342Dic43—22no—
343Dic43—22no—
344Dic43—44no—
345C23×M16—431no—
346C22×C22⋊Q8—431no—
347C22×#101—431no—
348C22×#101—431no—
349C2×#407—431no—
350#1901—438no—
351C2×#343—431no—
352C2×#343D4311yescharacteristic, complemented
353C2×C43—21no—
354C2×C43—21no—
355C2×C43—22no—
356C2×C43#190114yescomplemented
357C2×C43C2×#38611yescharacteristic
358C2×C43C22×#10111yescharacteristic
359C2×C43C2×#41311yescharacteristic
360D43—24no—
361D43—42no—
362C23×Q8—431no—
363C24×C4—431no—
364C22×M16—431no—
365C22×M16—431no—
366C22×M16—434no—
367C22×M16—861no—
368C22×M16—864no—
369C22×M16—862no—
370C22×M16—864no—
371C22×M16C2×D4311yescharacteristic
372C22×M16C2×D4311yescharacteristic
373C23×C8—861no—
374C2×C22⋊Q8—434no—
375C2×C22⋊Q8—434no—
376C2×C22⋊Q8—861no—
377C2×C22⋊Q8—862no—
378C2×C22⋊Q8—861no—
379C2×C22⋊Q8—861no—
380C2×C22⋊Q8—861no—
381C2×C22⋊Q8—862no—
382C22×C4⋊C4—432no—
383C22×C4⋊C4C2×D4311yescharacteristic
384C22×C22⋊C4—432no—
385C2×#101—434no—
386C2×#101—434no—
387C2×#101—864no—
388C2×#101—864no—
389#407—434no—
390#407—862no—
391C2×C22⋊C8—861no—
392C2×C22⋊C8—861no—
393#343—434no—
394#343C2×D4314yescomplemented
395C43C2×#190111yescharacteristic, complemented, Sylow
396C25—431no—
397C22×Q8—432no—
398C22×Q8—432no—
399C22×Q8—862no—
400C22×Q8—862no—
401C22×Q8—861no—
402C22×Q8—861no—
403C22×Q8—861no—
404C22×Q8—861no—
405C22×Q8—862no—
406C22×Q8—862no—
407C23×C4—431no—
408C23×C4—432no—
409C23×C4—431no—
410C23×C4—432no—
411C23×C4—431no—
412C23×C4—431no—
413C23×C4—431no—
414C23×C4—432no—
415C23×C4—432no—
416C23×C4—432no—
417C23×C4—862no—
418C23×C4—862no—
419C23×C4—862no—
420C23×C4—862no—
421C23×C4C4×D4312yes—
422C23×C4C22×D4311yescharacteristic
423C2×M16—22no—
424C2×M16—21no—
425C2×M16—21no—
426C2×M16—22no—
427C2×M16—22no—
428C2×M16—434no—
429C2×M16—432no—
430C2×M16—432no—
431C2×M16—864no—
432C2×M16—868no—
433C2×M16—868no—
434C2×M16—8616no—
435C2×M16—862no—
436C2×M16—861no—
437C2×M16—868no—
438C2×M16—861no—
439C2×M16—862no—
440C2×M16—862no—
441C2×M16D17214yes—
442C2×M16C22×D4312yes—
443C2×M16C22×D4312yes—
444C22×C8—21no—
445C22×C8—21no—
446C22×C8—864no—
447C22×C8—868no—
448C22×C8—861no—
449C22×C8—861no—
450C22⋊Q8—864no—
451C22⋊Q8—864no—
452C22⋊Q8—864no—
453C22⋊Q8—864no—
454C22⋊Q8—864no—
455C22⋊Q8—864no—
456C22⋊Q8—864no—
457C22⋊Q8—864no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—438no—
463C2×C4⋊C4—864no—
464C2×C4⋊C4—862no—
465C2×C4⋊C4—862no—
466C2×C4⋊C4C4×D4312yes—
467C2×C4⋊C4C22×D4312yes—
468C2×C22⋊C4—438no—
469C2×C22⋊C4—864no—
470C2×C22⋊C4—862no—
471C2×C22⋊C4—862no—
472#101—868no—
473#101—868no—
474C22⋊C8—864no—
475C22⋊C8—864no—
476C24—431no—
477C24—431no—
478C24—432no—
479C24—432no—
480C24—864no—
481C24—862no—
482C24—862no—
483C24—1722no—
484C24C2×C4×D4311yescharacteristic
485C2×Q8—862no—
486C2×Q8—862no—
487C2×Q8—864no—
488C2×Q8—864no—
489C2×Q8—862no—
490C2×Q8—862no—
491C2×Q8—862no—
492C2×Q8—862no—
493C2×Q8—862no—
494C2×Q8—862no—
495C2×Q8—1722no—
496C2×Q8—1722no—
497C2×Q8—1722no—
498C2×Q8—1722no—
499C2×Q8—1722no—
500C2×Q8—1722no—
501C2×Q8—1722no—
502C2×Q8—1722no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—44no—
506C22×C4—432no—
507C22×C4—431no—
508C22×C4—431no—
509C22×C4—432no—
510C22×C4—432no—
511C22×C4—432no—
512C22×C4—432no—
513C22×C4—432no—
514C22×C4—432no—
515C22×C4—432no—
516C22×C4—432no—
517C22×C4—432no—
518C22×C4—434no—
519C22×C4—862no—
520C22×C4—862no—
521C22×C4—864no—
522C22×C4—864no—
523C22×C4—862no—
524C22×C4—864no—
525C22×C4—862no—
526C22×C4—862no—
527C22×C4—862no—
528C22×C4—864no—
529C22×C4—862no—
530C22×C4—862no—
531C22×C4—864no—
532C22×C4—862no—
533C22×C4—864no—
534C22×C4—862no—
535C22×C4—862no—
536C22×C4—862no—
537C22×C4—862no—
538C22×C4—862no—
539C22×C4—862no—
540C22×C4—862no—
541C22×C4—864no—
542C22×C4—864no—
543C22×C4C2×C4×D4314yes—
544C22×C4C2×C4×D4311yescharacteristic
545C22×C4C2×D17212yes—
546C22×C4#1062189812yes—
547C22×C4D4×D4311yescharacteristic
548C22×C4D4×D4311yescharacteristic
549C22×C4D4×D4311yescharacteristic
550C22×C4D4×D4311yescharacteristic
551C22×C4D4×D4312yes—
552C22×C4#1062190212yes—
553C22×C4C23×D4311yescharacteristic
554M16—24no—
555M16—22no—
556M16—22no—
557M16—22no—
558M16—42no—
559M16—434no—
560M16—8616no—
561M16—864no—
562M16—862no—
563M16—862no—
564M16—862no—
565M16—1722no—
566M16C2×D17214yes—
567C2×C8—24no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—42no—
571C2×C8—8616no—
572C2×C8—864no—
573C2×C8—862no—
574C2×C8—862no—
575C2×C8—1722no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—22no—
580C4⋊C4—868no—
581C4⋊C4—868no—
582C22⋊C4—868no—
583C22⋊C4—868no—
584C23—22no—
585C23—22no—
586C23—432no—
587C23—434no—
588C23—432no—
589C23—864no—
590C23—864no—
591C23—862no—
592C23—862no—
593C23—862no—
594C23—862no—
595C23—862no—
596C23—862no—
597C23—864no—
598C23—862no—
599C23—1722no—
600C23—1722no—
601C23—1728no—
602C23—1728no—
603C23C22⋊C4×D4311yescharacteristic
604C23C22⋊C4×D4311yescharacteristic
605C23#1306328712yes—
606C23C4×D17212yes—
607C23C22×C4×D4311yescharacteristic
608Q8—1722no—
609Q8—1722no—
610Q8—1722no—
611Q8—1722no—
612Q8—1724no—
613Q8—1724no—
614C2×C4—24no—
615C2×C4—44no—
616C2×C4—44no—
617C2×C4—44no—
618C2×C4—432no—
619C2×C4—432no—
620C2×C4—862no—
621C2×C4—862no—
622C2×C4—864no—
623C2×C4—862no—
624C2×C4—862no—
625C2×C4—862no—
626C2×C4—862no—
627C2×C4—862no—
628C2×C4—862no—
629C2×C4—862no—
630C2×C4—862no—
631C2×C4—862no—
632C2×C4—862no—
633C2×C4—864no—
634C2×C4—864no—
635C2×C4—864no—
636C2×C4—864no—
637C2×C4—864no—
638C2×C4—864no—
639C2×C4—864no—
640C2×C4—1724no—
641C2×C4—1724no—
642C2×C4C22⋊C4×D4311yescharacteristic
643C2×C4C22⋊C4×D4311yescharacteristic
644C2×C4#1306328712yes—
645C2×C4C4×D17212yes—
646C2×C4#1306329512yes—
647C2×C4#1306329512yes—
648C2×C4#1306329812yes—
649C2×C4#1306329812yes—
650C2×C4#1306330012yes—
651C2×C4#1306330012yes—
652C2×C4#1306331012yes—
653C2×C4#1306331012yes—
654C2×C4C2×D4×D4311yescharacteristic
655C2×C4C2×D4×D4311yescharacteristic
656C2×C4C2×D4×D4311yescharacteristic
657C2×C4C22×D17211yescharacteristic
658C2×C4C2×#1062189811yescharacteristic
659C2×C4C2×#1062190211yescharacteristic
660C8—24no—
661C8—42no—
662C8—864no—
663C8—1722no—
664C22—24no—
665C22—24no—
666C22—21no—
667C22—21no—
668C22—21no—
669C22—21no—
670C22—434no—
671C22—868no—
672C22—862no—
673C22—862no—
674C22—862no—
675C22—862no—
676C22—862no—
677C22—1724no—
678C22—1724no—
679C22—1728no—
680C22—1724no—
681C22#1458277712yes—
682C22#1458277712yes—
683C22#101×D4312yes—
684C22#1458288012yes—
685C22C2×C22⋊C4×D4311yescharacteristic
686C22C2×#1306328711yescharacteristic
687C22C2×C4×D17211yescharacteristic
688C4—44no—
689C4—862no—
690C4—862no—
691C4—1724no—
692C4#1458277712yes—
693C4#1458277712yes—
694C4C2×#1306329511yescharacteristic
695C4C2×#1306329811yescharacteristic
696C4C2×#1306330011yescharacteristic
697C4C2×#1306331011yescharacteristic
698C2—21no—
699C2—21no—
700C2—22no—
701C2—864no—
702C2—1722no—
703C2#1913506214yesdirect product factor
704C2C2×#1458277711yescharacteristic
705C2C2×#101×D4311yescharacteristic
706C2C2×#1458288011yescharacteristic
subgroupG/H
centerC23C22⋊C4×D43
commutatorC23×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#343C2
socleC23×C43C2×C22⋊C4
prime radicalC24×D43C2×C4
cosocleC22×C4×C43C24
hypercenterC2×#343D43
hypocenterC43C2×#1901
LCSG ▷ C23×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#343

Complements

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

NH ≅ G/Ntype
3. C22×#13063243C2semidirect
4. C22×#13063243C2semidirect
6. #19135062C2direct (N × H)
7. C2×#14582668C2semidirect
8. C2×C43×#343C2semidirect
31. C2×#13063243C22semidirect
32. C2×#13063243C22semidirect
37. #14582668C22semidirect
41. C43×#343C22semidirect
251. C22×D43#101semidirect
334. C2×D43C2×#101semidirect
352. C2×#343D43semidirect
356. C2×C43#1901semidirect
394. #343C2×D43semidirect
395. C43C2×#1901semidirect
703. C2#19135062direct (N × H)

Maximal subgroups

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

subgroupindex
C22×M16×D432
C22×#130633052
C22×#130632432
C2×#145828622
#191350622
C2×#145826682
C2×C43×#3432
C2×#190143