Finite Group Databasebeta

← C41×#33572 #23809773

Subgroups — C41×#33572 #23809773

Order 10496.

1108 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C41×#3551C211yesmaximal, characteristic, complemented
2C41×#3022C211yesmaximal, characteristic, complemented
3C41×#3021C211yesmaximal, characteristic, complemented
4C41×#3018C211yesmaximal, characteristic, complemented
5C41×#2204C214yesmaximal, complemented
6C41×#2203C214yesmaximal, complemented
7C41×#2135C211yesmaximal, characteristic, complemented
8C41×#2134C211yesmaximal, characteristic, complemented
9C41×#2132C211yesmaximal, characteristic, complemented
10C41×#585C2211yescharacteristic
11C41×#575—21no—
12C2×#137×C41—21no—
13C2×AGL(1,ℤ/8)×C41—21no—
14C41×#563C2212yescomplemented
15C41×#560—21no—
16C41×#555C2212yescomplemented
17C41×#553—21no—
18C41×#552—21no—
19C41×#551—21no—
20C41×#548—21no—
21C41×#546—21no—
22C41×#540—22no—
23C41×#538—22no—
24C41×#537—21no—
25C41×#536C2211yescharacteristic
26C41×#535C2211yescharacteristic
27C41×#532C2211yescharacteristic
28C41×#529—21no—
29C41×#456C2212yescomplemented
30C41×#456C2214yescomplemented
31C41×#455—21no—
32C41×#455—22no—
33C41×#454C2214yes—
34C41×#454C2212yescomplemented
35C41×#453—21no—
36C41×#453—22no—
37C41×#421—21no—
38C41×#421—21no—
39C2×#104×C41—21no—
40C41×#413C2211yescharacteristic
41C41×#413C2211yescharacteristic
42C41×#413C2211yescharacteristic
43C41×#356C2212yescomplemented
44C41×#356C2214yescomplemented
45C41×#355C2212yescomplemented
46C41×#355C2214yescomplemented
472−1+4×C41—41no—
482−1+4×C41C2312yes—
49H(5,𝔽2)×C41—21no—
50H(5,𝔽2)×C41—21no—
51H(5,𝔽2)×C41—21no—
52H(5,𝔽2)×C41—41no—
53C2×#41×C41—21no—
54C2×#41×C41—21no—
55C2×#41×C41—21no—
56C2×#41×C41—21no—
57C2×#41×C41—42no—
58C2×#41×C41D411yescharacteristic
59C2×#41×C41C2311yescharacteristic
60C22×Q8×C41D411yescharacteristic
61C22×D4×C41D411yescharacteristic
62#137×C41—24no—
63#137×C41—22no—
64#137×C41—41no—
65#137×C41—42no—
66AGL(1,ℤ/8)×C41—24no—
67AGL(1,ℤ/8)×C41—22no—
68AGL(1,ℤ/8)×C41—41no—
69AGL(1,ℤ/8)×C41—42no—
70#135×C41—42no—
71C2×Q16×C41—41no—
72C2×SD16×C41—41no—
73C2×SD16×C41—41no—
74C2×D8×C41—41no—
75C2×M16×C41—21no—
76C2×M16×C41—21no—
77C2×M16×C41—21no—
78C4⋊Q8×C41C2311yescharacteristic
79C4⋊Q8×C41C2312yes—
80#127×C41D411yescharacteristic
81#127×C41D412yes—
82#126×C41—22no—
83#126×C41—22no—
84#126×C41—22no—
85#125×C41—21no—
86#125×C41—22no—
87#124×C41—21no—
88#124×C41—22no—
89#124×C41D411yescharacteristic
90#124×C41D412yes—
91#124×C41C2311yescharacteristic
92#124×C41C2312yes—
93#123×C41—22no—
94#123×C41—22no—
95#123×C41—22no—
96#123×C41—21no—
97#123×C41—21no—
98#123×C41—22no—
99C22⋊Q8×C41—21no—
100C22⋊Q8×C41—22no—
101C22⋊Q8×C41—22no—
102C22⋊Q8×C41—21no—
103C22⋊Q8×C41—21no—
104#121×C41—22no—
105#121×C41—22no—
106#121×C41—21no—
107#121×C41—22no—
108#121×C41—22no—
109#121×C41—21no—
110#121×C41—21no—
111#121×C41—22no—
112#121×C41—22no—
113#121×C41—21no—
114#121×C41—21no—
115#120×C41—22no—
116#120×C41—21no—
117#120×C41—21no—
118C4×Q8×C41—21no—
119C4×D4×C41—22no—
120C4×D4×C41—21no—
121C4×D4×C41—22no—
122C4×D4×C41—21no—
123C4×D4×C41—21no—
124C4×D4×C41—22no—
125#117×C41—22no—
126#117×C41—22no—
127#117×C41D411yescharacteristic
128#117×C41D411yescharacteristic
129C2×C4⋊C4×C41—21no—
130C2×C22⋊C4×C41—22no—
131C2×C42×C41D411yescharacteristic
132#104×C41—22no—
133#104×C41—22no—
134#104×C41—24no—
135#104×C41—24no—
136#101×C41C2312yes—
137#101×C41C2312yes—
138#101×C41C2312yes—
139#100×C41—21no—
140#100×C41—21no—
141#100×C41—21no—
142C24×C41—21no—
143#41×C41—22no—
144#41×C41—22no—
145#41×C41—22no—
146#41×C41—22no—
147#41×C41—22no—
148#41×C41—22no—
149#41×C41—41no—
150#41×C41—41no—
151#41×C41—41no—
152#41×C41—41no—
153#41×C41—41no—
154#41×C41—41no—
155#41×C41—41no—
156#41×C41—42no—
157#41×C41—42no—
158#41×C41—42no—
159#41×C41—42no—
160#41×C41—41no—
161#41×C41—81no—
162#41×C41—81no—
163C2×Q8×C41—21no—
164C2×Q8×C41—21no—
165C2×Q8×C41—21no—
166C2×Q8×C41—21no—
167C2×Q8×C41—41no—
168C2×Q8×C41—41no—
169C2×Q8×C41—42no—
170C2×Q8×C41C2×D411yescharacteristic
171C2×Q8×C41C2×D412yes—
172C2×Q8×C41C2411yescharacteristic
173C2×D4×C41—21no—
174C2×D4×C41—21no—
175C2×D4×C41—21no—
176C2×D4×C41—22no—
177C2×D4×C41—22no—
178C2×D4×C41—21no—
179C2×D4×C41—22no—
180C2×D4×C41—22no—
181C2×D4×C41—21no—
182C2×D4×C41—21no—
183C2×D4×C41—21no—
184C2×D4×C41—41no—
185C2×D4×C41—41no—
186C2×D4×C41—42no—
187C2×D4×C41—42no—
188C2×D4×C41—42no—
189C2×D4×C41—41no—
190C2×D4×C41—41no—
191C2×D4×C41—41no—
192C2×D4×C41C2×D411yescharacteristic
193C2×D4×C41C2×D412yes—
194C2×D4×C41C2×D411yescharacteristic
195C2×D4×C41C2×D411yescharacteristic
196C2×D4×C41C2×D411yescharacteristic
197C22×C4×C41—22no—
198C22×C4×C41—22no—
199C22×C4×C41—22no—
200C22×C4×C41—21no—
201C22×C4×C41—21no—
202C22×C4×C41—21no—
203C22×C4×C41—41no—
204C22×C4×C41—41no—
205C22×C4×C41—41no—
206C22×C4×C41C2×D411yescharacteristic
207C22×C4×C41C2×D411yescharacteristic
208C22×C4×C41C2×D411yescharacteristic
209Q16×C41—44no—
210Q16×C41—42no—
211SD16×C41—44no—
212SD16×C41—42no—
213SD16×C41—44no—
214SD16×C41—42no—
215D8×C41—44no—
216D8×C41—42no—
217M16×C41—22no—
218M16×C41—22no—
219M16×C41—22no—
220M16×C41—41no—
221M16×C41—41no—
222M16×C41—41no—
223C2×C8×C41—41no—
224C2×C8×C41—41no—
225C2×C8×C41—41no—
226C4⋊C4×C41—22no—
227C4⋊C4×C41—22no—
228C4⋊C4×C41—22no—
229C4⋊C4×C41—22no—
230C4⋊C4×C41—22no—
231C4⋊C4×C41—21no—
232C4⋊C4×C41—21no—
233C4⋊C4×C41—22no—
234C4⋊C4×C41—22no—
235C4⋊C4×C41—21no—
236C4⋊C4×C41—21no—
237C22⋊C4×C41—22no—
238C22⋊C4×C41—22no—
239C22⋊C4×C41—22no—
240C22⋊C4×C41—22no—
241C22⋊C4×C41—22no—
242C22⋊C4×C41—21no—
243C22⋊C4×C41—22no—
244C22⋊C4×C41—21no—
245C22⋊C4×C41—21no—
246C22⋊C4×C41—21no—
247C22⋊C4×C41—22no—
248C22⋊C4×C41—21no—
249C22⋊C4×C41—22no—
250C22⋊C4×C41—21no—
251C22⋊C4×C41—22no—
252C42×C41—22no—
253C42×C41—21no—
254C42×C41C2×D411yescharacteristic
255C42×C41C2×D411yescharacteristic
256C42×C41C2×D412yes—
257C42×C41C2×D412yes—
258C23×C41—22no—
259C23×C41—21no—
260C23×C41—41no—
261C23×C41—41no—
262C23×C41—41no—
263C23×C41—81no—
264C23×C41—82no—
265C23×C41#12011yescharacteristic
266C23×C41#12011yescharacteristic
267C23×C41#12011yescharacteristic
268Q8×C41—22no—
269Q8×C41—22no—
270Q8×C41—22no—
271Q8×C41—41no—
272Q8×C41—42no—
273Q8×C41—41no—
274Q8×C41—41no—
275Q8×C41—41no—
276Q8×C41—41no—
277D4×C41—22no—
278D4×C41—22no—
279D4×C41—22no—
280D4×C41—41no—
281D4×C41—41no—
282D4×C41—41no—
283D4×C41—42no—
284D4×C41—41no—
285D4×C41—42no—
286D4×C41—42no—
287D4×C41—42no—
288D4×C41—42no—
289D4×C41—41no—
290D4×C41—41no—
291D4×C41—41no—
292D4×C41—81no—
293D4×C41—82no—
294D4×C41—82no—
295D4×C41—82no—
296D4×C41—81no—
297D4×C41—81no—
298D4×C41—82no—
299C2×C4×C41—21no—
300C2×C4×C41—21no—
301C2×C4×C41—21no—
302C2×C4×C41—21no—
303C2×C4×C41—21no—
304C2×C4×C41—21no—
305C2×C4×C41—21no—
306C2×C4×C41—22no—
307C2×C4×C41—21no—
308C2×C4×C41—22no—
309C2×C4×C41—22no—
310C2×C4×C41—21no—
311C2×C4×C41—42no—
312C2×C4×C41—42no—
313C2×C4×C41—42no—
314C2×C4×C41—41no—
315C2×C4×C41—41no—
316C2×C4×C41—41no—
317C2×C4×C41—41no—
318C2×C4×C41—41no—
319C2×C4×C41—42no—
320C2×C4×C41—81no—
321C2×C4×C41—82no—
322C2×C4×C41—81no—
323C2×C4×C41—82no—
324C2×C4×C41—82no—
325C2×C4×C41#12011yescharacteristic
326C2×C4×C41C22×D411yescharacteristic
327C2×C4×C41C22×D411yescharacteristic
328C2×C4×C41C22×D411yescharacteristic
329C8×C41—42no—
330C8×C41—42no—
331C8×C41—42no—
332#33572C4111yesmaximal, characteristic, direct product factor, Sylow
333C22×C41—21no—
334C22×C41—21no—
335C22×C41—21no—
336C22×C41—41no—
337C22×C41—41no—
338C22×C41—41no—
339C22×C41—41no—
340C22×C41—42no—
341C22×C41—41no—
342C22×C41—42no—
343C22×C41—42no—
344C22×C41—41no—
345C22×C41—42no—
346C22×C41—161no—
347C22×C41—161no—
348C22×C41—161no—
349C22×C41—162no—
350C22×C41C2×#12011yescharacteristic
351C4×C41—21no—
352C4×C41—21no—
353C4×C41—21no—
354C4×C41—41no—
355C4×C41—42no—
356C4×C41—42no—
357C4×C41—41no—
358C4×C41—41no—
359C4×C41—42no—
360C4×C41—42no—
361C4×C41B(4,𝔽2)11yescharacteristic
362C4×C41B(4,𝔽2)11yescharacteristic
363#3551C2×C4111yescharacteristic, complemented
364#3022C2×C4111yescharacteristic, complemented
365#3021C2×C4111yescharacteristic, complemented
366#3018C2×C4111yescharacteristic, complemented
367#2204C2×C4114yescomplemented
368#2203C2×C4114yescomplemented
369#2135C2×C4111yescharacteristic, complemented
370#2134C2×C4111yescharacteristic, complemented
371#2132C2×C4111yescharacteristic, complemented
372C2×C41—21no—
373C2×C41—41no—
374C2×C41—41no—
375C2×C41—41no—
376C2×C41—81no—
377C2×C41—82no—
378C2×C41—82no—
379C2×C41C2×B(4,𝔽2)11yescharacteristic
380#585C22×C4111yescharacteristic
381#575—21no—
382C2×#137—21no—
383C2×AGL(1,ℤ/8)—21no—
384#563C22×C4112yescomplemented
385#560—21no—
386#555C22×C4112yescomplemented
387#553—21no—
388#552—21no—
389#551—21no—
390#548—21no—
391#546—21no—
392#540—22no—
393#538—22no—
394#537—21no—
395#536C22×C4111yescharacteristic
396#535C22×C4111yescharacteristic
397#532C22×C4111yescharacteristic
398#529—21no—
399#456C22×C4112yescomplemented
400#456C22×C4114yescomplemented
401#455—21no—
402#455—22no—
403#454C22×C4114yes—
404#454C22×C4112yescomplemented
405#453—21no—
406#453—22no—
407#421—21no—
408#421—21no—
409C2×#104—21no—
410#413C22×C4111yescharacteristic
411#413C22×C4111yescharacteristic
412#413C22×C4111yescharacteristic
413#356C22×C4112yescomplemented
414#356C22×C4114yescomplemented
415#355C22×C4112yescomplemented
416#355C22×C4114yescomplemented
417C41#3357211yescharacteristic, direct product factor, Sylow
4182−1+4—41no—
4192−1+4C23×C4112yes—
420H(5,𝔽2)—21no—
421H(5,𝔽2)—21no—
422H(5,𝔽2)—21no—
423H(5,𝔽2)—41no—
424C2×#41—21no—
425C2×#41—21no—
426C2×#41—21no—
427C2×#41—21no—
428C2×#41—42no—
429C2×#41D4×C4111yescharacteristic
430C2×#41C23×C4111yescharacteristic
431C22×Q8D4×C4111yescharacteristic
432C22×D4D4×C4111yescharacteristic
433#137—24no—
434#137—22no—
435#137—41no—
436#137—42no—
437AGL(1,ℤ/8)—24no—
438AGL(1,ℤ/8)—22no—
439AGL(1,ℤ/8)—41no—
440AGL(1,ℤ/8)—42no—
441#135—42no—
442C2×Q16—41no—
443C2×SD16—41no—
444C2×SD16—41no—
445C2×D8—41no—
446C2×M16—21no—
447C2×M16—21no—
448C2×M16—21no—
449C4⋊Q8C23×C4111yescharacteristic
450C4⋊Q8C23×C4112yes—
451#127D4×C4111yescharacteristic
452#127D4×C4112yes—
453#126—22no—
454#126—22no—
455#126—22no—
456#125—21no—
457#125—22no—
458#124—21no—
459#124—22no—
460#124D4×C4111yescharacteristic
461#124D4×C4112yes—
462#124C23×C4111yescharacteristic
463#124C23×C4112yes—
464#123—22no—
465#123—22no—
466#123—22no—
467#123—21no—
468#123—21no—
469#123—22no—
470C22⋊Q8—21no—
471C22⋊Q8—22no—
472C22⋊Q8—22no—
473C22⋊Q8—21no—
474C22⋊Q8—21no—
475#121—22no—
476#121—22no—
477#121—21no—
478#121—22no—
479#121—22no—
480#121—21no—
481#121—21no—
482#121—22no—
483#121—22no—
484#121—21no—
485#121—21no—
486#120—22no—
487#120—21no—
488#120—21no—
489C4×Q8—21no—
490C4×D4—22no—
491C4×D4—21no—
492C4×D4—22no—
493C4×D4—21no—
494C4×D4—21no—
495C4×D4—22no—
496#117—22no—
497#117—22no—
498#117D4×C4111yescharacteristic
499#117D4×C4111yescharacteristic
500C2×C4⋊C4—21no—
501C2×C22⋊C4—22no—
502C2×C42D4×C4111yescharacteristic
503#104—22no—
504#104—22no—
505#104—24no—
506#104—24no—
507#101C23×C4112yes—
508#101C23×C4112yes—
509#101C23×C4112yes—
510#100—21no—
511#100—21no—
512#100—21no—
513C24—21no—
514#41—22no—
515#41—22no—
516#41—22no—
517#41—22no—
518#41—22no—
519#41—22no—
520#41—41no—
521#41—41no—
522#41—41no—
523#41—41no—
524#41—41no—
525#41—41no—
526#41—41no—
527#41—42no—
528#41—42no—
529#41—42no—
530#41—42no—
531#41—41no—
532#41—81no—
533#41—81no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—41no—
539C2×Q8—41no—
540C2×Q8—42no—
541C2×Q8C2×D4×C4111yescharacteristic
542C2×Q8C2×D4×C4112yes—
543C2×Q8C24×C4111yescharacteristic
544C2×D4—21no—
545C2×D4—21no—
546C2×D4—21no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—41no—
556C2×D4—41no—
557C2×D4—42no—
558C2×D4—42no—
559C2×D4—42no—
560C2×D4—41no—
561C2×D4—41no—
562C2×D4—41no—
563C2×D4C2×D4×C4111yescharacteristic
564C2×D4C2×D4×C4112yes—
565C2×D4C2×D4×C4111yescharacteristic
566C2×D4C2×D4×C4111yescharacteristic
567C2×D4C2×D4×C4111yescharacteristic
568C22×C4—22no—
569C22×C4—22no—
570C22×C4—22no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—41no—
575C22×C4—41no—
576C22×C4—41no—
577C22×C4C2×D4×C4111yescharacteristic
578C22×C4C2×D4×C4111yescharacteristic
579C22×C4C2×D4×C4111yescharacteristic
580Q16—44no—
581Q16—42no—
582SD16—44no—
583SD16—42no—
584SD16—44no—
585SD16—42no—
586D8—44no—
587D8—42no—
588M16—22no—
589M16—22no—
590M16—22no—
591M16—41no—
592M16—41no—
593M16—41no—
594C2×C8—41no—
595C2×C8—41no—
596C2×C8—41no—
597C4⋊C4—22no—
598C4⋊C4—22no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—22no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—22no—
605C4⋊C4—22no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—21no—
614C22⋊C4—22no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—22no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—21no—
622C22⋊C4—22no—
623C42—22no—
624C42—21no—
625C42C2×D4×C4111yescharacteristic
626C42C2×D4×C4111yescharacteristic
627C42C2×D4×C4112yes—
628C42C2×D4×C4112yes—
629C23—22no—
630C23—21no—
631C23—41no—
632C23—41no—
633C23—41no—
634C23—81no—
635C23—82no—
636C23#120×C4111yescharacteristic
637C23#120×C4111yescharacteristic
638C23#120×C4111yescharacteristic
639Q8—22no—
640Q8—22no—
641Q8—22no—
642Q8—41no—
643Q8—42no—
644Q8—41no—
645Q8—41no—
646Q8—41no—
647Q8—41no—
648D4—22no—
649D4—22no—
650D4—22no—
651D4—41no—
652D4—41no—
653D4—41no—
654D4—42no—
655D4—41no—
656D4—42no—
657D4—42no—
658D4—42no—
659D4—42no—
660D4—41no—
661D4—41no—
662D4—41no—
663D4—81no—
664D4—82no—
665D4—82no—
666D4—82no—
667D4—82no—
668D4—81no—
669D4—81no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—22no—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—81no—
692C2×C4—82no—
693C2×C4—82no—
694C2×C4—81no—
695C2×C4—82no—
696C2×C4#120×C4111yescharacteristic
697C2×C4C22×D4×C4111yescharacteristic
698C2×C4C22×D4×C4111yescharacteristic
699C2×C4C22×D4×C4111yescharacteristic
700C8—42no—
701C8—42no—
702C8—42no—
703C22—21no—
704C22—21no—
705C22—21no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—42no—
711C22—41no—
712C22—42no—
713C22—42no—
714C22—41no—
715C22—42no—
716C22—161no—
717C22—161no—
718C22—161no—
719C22—162no—
720C22C2×#120×C4111yescharacteristic
721C4—21no—
722C4—21no—
723C4—21no—
724C4—41no—
725C4—42no—
726C4—42no—
727C4—41no—
728C4—41no—
729C4—42no—
730C4—42no—
731C4C41×B(4,𝔽2)11yescharacteristic
732C4C41×B(4,𝔽2)11yescharacteristic
733C2—21no—
734C2—41no—
735C2—41no—
736C2—41no—
737C2—82no—
738C2—81no—
739C2—82no—
740C2C2×C41×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC2×C41C2×B(4,𝔽2)
commutator, Frattini, cosocleC2×Q8C24×C41
LCSG ▷ C2×Q8 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C2×C41 ◁ C2×C4×C41 ◁ C2×#41×C41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C41×#3551C2semidirect
2. C41×#3022C2semidirect
3. C41×#3021C2semidirect
4. C41×#3018C2semidirect
5. C41×#2204C2semidirect
6. C41×#2203C2semidirect
7. C41×#2135C2semidirect
8. C41×#2134C2semidirect
9. C41×#2132C2semidirect
14. C41×#563C22semidirect
16. C41×#555C22semidirect
29. C41×#456C22semidirect
30. C41×#456C22semidirect
34. C41×#454C22semidirect
43. C41×#356C22semidirect
44. C41×#356C22semidirect
45. C41×#355C22semidirect
46. C41×#355C22semidirect
332. #33572C41direct (N × H)
363. #3551C2×C41semidirect
364. #3022C2×C41semidirect
365. #3021C2×C41semidirect
366. #3018C2×C41semidirect
367. #2204C2×C41semidirect
368. #2203C2×C41semidirect
369. #2135C2×C41semidirect
370. #2134C2×C41semidirect
371. #2132C2×C41semidirect
384. #563C22×C41semidirect
386. #555C22×C41semidirect
399. #456C22×C41semidirect
400. #456C22×C41semidirect
404. #454C22×C41semidirect
413. #356C22×C41semidirect
414. #356C22×C41semidirect
415. #355C22×C41semidirect
416. #355C22×C41semidirect
417. C41#33572direct (N × H)

Maximal subgroups

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

subgroupindex
C41×#35512
C41×#30222
C41×#30212
C41×#30182
C41×#22042
C41×#22032
C41×#21352
C41×#21342
C41×#21322
#3357241