Finite Group Databasebeta

← C41×#25198 #23801399

Subgroups — C41×#25198 #23801399

Order 10496.

958 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C41×#3069C211yesmaximal, characteristic, complemented
2C41×#3069C211yesmaximal, characteristic, complemented
3C41×#3020C211yesmaximal, characteristic
4C2×C41×#456C211yesmaximal, characteristic, complemented
5C41×#2956C211yesmaximal, characteristic, complemented
6C41×#2889C211yesmaximal, characteristic, complemented
7C41×#2070C211yesmaximal, characteristic, complemented
8C41×#2050C211yesmaximal, characteristic, complemented
9C41×#2049C211yesmaximal, characteristic, complemented
10C41×#2005C211yesmaximal, characteristic, complemented
11C41×#1966C211yesmaximal, characteristic, complemented
12C41×#1932C211yesmaximal, characteristic, complemented
13C41×#1915C211yesmaximal, characteristic, complemented
14C41×#1902C211yesmaximal, characteristic, complemented
15C41×#1861C211yesmaximal, characteristic, complemented
16C2×2−1+4×C41C2211yescharacteristic
17C41×#575C2211yescharacteristic
18C41×#575C2211yescharacteristic
19C2×#137×C41C2211yescharacteristic
20C2×#137×C41C2211yescharacteristic
21C2×#137×C41C2211yescharacteristic
22C41×#568C2211yescharacteristic
23C41×#568C2211yescharacteristic
24C41×#568C2211yescharacteristic
25C41×#536C2211yescharacteristic
26C2×C4⋊Q8×C41C2211yescharacteristic
27C41×#473—22no—
28C41×#473—22no—
29C41×#471—22no—
30C41×#471—22no—
31C41×#456—22no—
32C41×#456—22no—
33C41×#456—22no—
34C41×#454—22no—
35C41×#444—22no—
36C41×#443—22no—
37C41×#430C2211yescharacteristic
38C41×#430C2211yescharacteristic
39C41×#430C2211yescharacteristic
40C41×#423C2211yescharacteristic
41C41×#421C2211yescharacteristic
42C41×#421C2211yescharacteristic
43C2×#104×C41C2211yescharacteristic
44C2×#104×C41C2211yescharacteristic
45C2×#104×C41C2211yescharacteristic
46C41×#419C2211yescharacteristic
47C41×#413—22no—
48C41×#413C2211yescharacteristic
49C41×#413C2211yescharacteristic
50C41×#413C2211yescharacteristic
51C2×#101×C41—22no—
52C2×#101×C41C2211yescharacteristic
53C2×#101×C41C2211yescharacteristic
54C2×#101×C41C2211yescharacteristic
55C2×#101×C41C2211yescharacteristic
56C2×#101×C41C2211yescharacteristic
57C2×#101×C41C2211yescharacteristic
58C4×M16×C41C2211yescharacteristic
59C41×#344C2211yescharacteristic
60C41×#344C2211yescharacteristic
61C41×#339C2211yescharacteristic
62C41×#338C2211yescharacteristic
632−1+4×C41—22no—
642−1+4×C41—22no—
652−1+4×C41—41no—
662−1+4×C41—41no—
67C2×#41×C41—21no—
68C2×#41×C41—21no—
69C2×#41×C41—22no—
70C2×#41×C41C2311yescharacteristic
71C2×#41×C41C2311yescharacteristic
72C2×#41×C41C2311yescharacteristic
73C22×Q8×C41—21no—
74C22×Q8×C41—21no—
75C22×Q8×C41C2311yescharacteristic
76C22×Q8×C41C2311yescharacteristic
77#137×C41—21no—
78#137×C41—22no—
79#137×C41—22no—
80#137×C41—21no—
81#137×C41—21no—
82#137×C41—22no—
83#137×C41—22no—
84#137×C41—41no—
85#137×C41—41no—
86#137×C41D412yes—
87AGL(1,ℤ/8)×C41—21no—
88AGL(1,ℤ/8)×C41—21no—
89AGL(1,ℤ/8)×C41—21no—
90AGL(1,ℤ/8)×C41D412yes—
91#135×C41—22no—
92#135×C41—41no—
93C2×Q16×C41—21no—
94C2×Q16×C41—21no—
95C2×Q16×C41—21no—
96C2×SD16×C41—21no—
97C2×SD16×C41—21no—
98C2×SD16×C41—21no—
99#131×C41—22no—
100#131×C41—22no—
101#131×C41—22no—
102#131×C41—22no—
103#131×C41—41no—
104#131×C41—41no—
105C2×M16×C41—22no—
106C2×M16×C41—22no—
107C2×M16×C41—41no—
108C2×M16×C41C2311yescharacteristic
109C2×M16×C41C2311yescharacteristic
110C2×M16×C41C2311yescharacteristic
111C2×M16×C41C2311yescharacteristic
112C2×M16×C41C2311yescharacteristic
113C2×M16×C41C2311yescharacteristic
114C2×M16×C41C2311yescharacteristic
115C2×M16×C41C2311yescharacteristic
116C4⋊Q8×C41—21no—
117C4⋊Q8×C41—21no—
118C4⋊Q8×C41—21no—
119C4⋊Q8×C41—41no—
120#124×C41—21no—
121#123×C41—22no—
122C22⋊Q8×C41—41no—
123#117×C41C2311yescharacteristic
124C2×C4⋊C4×C41—22no—
125C2×C42×C41C2311yescharacteristic
126#108×C41—22no—
127#108×C41—22no—
128#108×C41—22no—
129C4⋊C8×C41—41no—
130#104×C41—22no—
131#104×C41—22no—
132#104×C41—21no—
133#104×C41—21no—
134#104×C41—21no—
135#104×C41—21no—
136#104×C41D412yes—
137#104×C41D412yes—
138#103×C41—41no—
139#101×C41—21no—
140#101×C41—21no—
141#101×C41—22no—
142#101×C41—22no—
143#101×C41—22no—
144#101×C41—22no—
145#101×C41—22no—
146#101×C41—22no—
147#101×C41D412yes—
148#100×C41—21no—
149#100×C41—21no—
150#100×C41D412yes—
151#97×C41—21no—
152C4×C8×C41—21no—
153#41×C41—21no—
154#41×C41—21no—
155#41×C41—21no—
156#41×C41—21no—
157#41×C41—21no—
158#41×C41—21no—
159#41×C41—21no—
160#41×C41—21no—
161#41×C41—21no—
162#41×C41—21no—
163#41×C41—42no—
164#41×C41—42no—
165#41×C41—44no—
166#41×C41—44no—
167#41×C41—42no—
168#41×C41—42no—
169#41×C41C2×D412yes—
170#41×C41C2×D412yes—
171C2×Q8×C41—22no—
172C2×Q8×C41—21no—
173C2×Q8×C41—21no—
174C2×Q8×C41—21no—
175C2×Q8×C41—21no—
176C2×Q8×C41—21no—
177C2×Q8×C41—21no—
178C2×Q8×C41—21no—
179C2×Q8×C41—21no—
180C2×Q8×C41—21no—
181C2×Q8×C41—21no—
182C2×Q8×C41—21no—
183C2×Q8×C41—21no—
184C2×Q8×C41—42no—
185C2×Q8×C41—42no—
186C2×Q8×C41—42no—
187C2×Q8×C41—42no—
188C2×Q8×C41C2×D411yescharacteristic
189C2×Q8×C41C2×D411yescharacteristic
190C2×Q8×C41#4111yescharacteristic
191C2×D4×C41—21no—
192C2×D4×C41—22no—
193C2×D4×C41—21no—
194C2×D4×C41—21no—
195C2×D4×C41C2×D411yescharacteristic
196C2×D4×C41C2×D411yescharacteristic
197C2×D4×C41#4111yescharacteristic
198C22×C4×C41—21no—
199C22×C4×C41—22no—
200C22×C4×C41—22no—
201C22×C4×C41—21no—
202C22×C4×C41—21no—
203C22×C4×C41—21no—
204C22×C4×C41—21no—
205C22×C4×C41#4112yes—
206C22×C4×C41C2411yescharacteristic
207Q16×C41—22no—
208Q16×C41—42no—
209Q16×C41—42no—
210Q16×C41—41no—
211Q16×C41—42no—
212SD16×C41—22no—
213SD16×C41—22no—
214SD16×C41—42no—
215SD16×C41—42no—
216SD16×C41—41no—
217SD16×C41—41no—
218SD16×C41—42no—
219D8×C41—22no—
220D8×C41—41no—
221M16×C41—21no—
222M16×C41—21no—
223M16×C41—21no—
224M16×C41—21no—
225M16×C41—21no—
226M16×C41—21no—
227M16×C41—21no—
228M16×C41—21no—
229M16×C41—21no—
230M16×C41—21no—
231M16×C41—21no—
232M16×C41—21no—
233M16×C41—42no—
234M16×C41—42no—
235M16×C41—42no—
236M16×C41C2×D412yes—
237M16×C41C2×D412yes—
238M16×C41C2×D412yes—
239M16×C41C2×D412yes—
240C2×C8×C41—21no—
241C2×C8×C41—21no—
242C2×C8×C41—21no—
243C2×C8×C41—21no—
244C2×C8×C41—21no—
245C2×C8×C41—21no—
246C2×C8×C41—21no—
247C2×C8×C41—21no—
248C2×C8×C41—42no—
249C2×C8×C41—42no—
250C2×C8×C41—42no—
251C4⋊C4×C41—21no—
252C4⋊C4×C41—42no—
253C4⋊C4×C41—42no—
254C4⋊C4×C41—42no—
255C22⋊C4×C41—21no—
256C22⋊C4×C41—42no—
257C42×C41—21no—
258C42×C41—21no—
259C42×C41C2×D411yescharacteristic
260C42×C41C2×D411yescharacteristic
261C23×C41—21no—
262C23×C41—21no—
263C23×C41—21no—
264C23×C41C2×#4111yescharacteristic
265Q8×C41—21no—
266Q8×C41—21no—
267Q8×C41—21no—
268Q8×C41—21no—
269Q8×C41—21no—
270Q8×C41—44no—
271Q8×C41—41no—
272Q8×C41—41no—
273Q8×C41—41no—
274Q8×C41—41no—
275Q8×C41—41no—
276Q8×C41—41no—
277Q8×C41—41no—
278Q8×C41—41no—
279Q8×C41#12112yes—
280D4×C41—22no—
281D4×C41—22no—
282D4×C41—21no—
283D4×C41—21no—
284D4×C41—21no—
285D4×C41—21no—
286D4×C41—21no—
287D4×C41—44no—
288D4×C41—41no—
289D4×C41—41no—
290D4×C41—41no—
291D4×C41—41no—
292D4×C41#12112yes—
293C2×C4×C41—21no—
294C2×C4×C41—21no—
295C2×C4×C41—22no—
296C2×C4×C41—22no—
297C2×C4×C41—21no—
298C2×C4×C41—22no—
299C2×C4×C41—21no—
300C2×C4×C41—22no—
301C2×C4×C41—21no—
302C2×C4×C41—22no—
303C2×C4×C41—42no—
304C2×C4×C41—44no—
305C2×C4×C41—44no—
306C2×C4×C41—41no—
307C2×C4×C41—41no—
308C2×C4×C41—41no—
309C2×C4×C41—41no—
310C2×C4×C41—41no—
311C2×C4×C41—41no—
312C2×C4×C41—41no—
313C2×C4×C41—41no—
314C2×C4×C41C22×D411yescharacteristic
315C2×C4×C41C22×D411yescharacteristic
316C2×C4×C41C22×D411yescharacteristic
317C2×C4×C41C2×#4111yescharacteristic
318C2×C4×C41H(5,𝔽2)11yescharacteristic
319C2×C4×C41H(5,𝔽2)11yescharacteristic
320C8×C41—22no—
321C8×C41—22no—
322C8×C41—22no—
323C8×C41—22no—
324C8×C41—41no—
325C8×C41—41no—
326C8×C41—41no—
327C8×C41—41no—
328#25198C4111yesmaximal, characteristic, direct product factor, Sylow
329C22×C41—22no—
330C22×C41—41no—
331C22×C41—41no—
332C22×C41—41no—
333C22×C41—81no—
334C22×C41—81no—
335C22×C41—81no—
336C22×C41#52511yescharacteristic
337C22×C41#54611yescharacteristic
338C22×C41#54611yescharacteristic
339C4×C41—22no—
340C4×C41—22no—
341C4×C41—41no—
342C4×C41—42no—
343C4×C41—41no—
344C4×C41—41no—
345C4×C41—81no—
346C4×C41—81no—
347C4×C41C2×#12111yescharacteristic
348C4×C41#53811yescharacteristic
349C4×C41D4211yescharacteristic
350C4×C41D4211yescharacteristic
351#3069C2×C4111yescharacteristic, complemented
352#3069C2×C4111yescharacteristic, complemented
353#3020C2×C4111yescharacteristic
354C2×#456C2×C4111yescharacteristic, complemented
355#2956C2×C4111yescharacteristic, complemented
356#2889C2×C4111yescharacteristic, complemented
357#2070C2×C4111yescharacteristic, complemented
358#2050C2×C4111yescharacteristic, complemented
359#2049C2×C4111yescharacteristic, complemented
360#2005C2×C4111yescharacteristic, complemented
361#1966C2×C4111yescharacteristic, complemented
362#1932C2×C4111yescharacteristic, complemented
363#1915C2×C4111yescharacteristic, complemented
364#1902C2×C4111yescharacteristic, complemented
365#1861C2×C4111yescharacteristic, complemented
366C2×C41—21no—
367C2×C41—21no—
368C2×C41—21no—
369C2×C41—42no—
370C2×C41—81no—
371C2×C41—81no—
372C2×C41#242411yescharacteristic
373C2×2−1+4C22×C4111yescharacteristic
374#575C22×C4111yescharacteristic
375#575C22×C4111yescharacteristic
376C2×#137C22×C4111yescharacteristic
377C2×#137C22×C4111yescharacteristic
378C2×#137C22×C4111yescharacteristic
379#568C22×C4111yescharacteristic
380#568C22×C4111yescharacteristic
381#568C22×C4111yescharacteristic
382#536C22×C4111yescharacteristic
383C2×C4⋊Q8C22×C4111yescharacteristic
384#473—22no—
385#473—22no—
386#471—22no—
387#471—22no—
388#456—22no—
389#456—22no—
390#456—22no—
391#454—22no—
392#444—22no—
393#443—22no—
394#430C22×C4111yescharacteristic
395#430C22×C4111yescharacteristic
396#430C22×C4111yescharacteristic
397#423C22×C4111yescharacteristic
398#421C22×C4111yescharacteristic
399#421C22×C4111yescharacteristic
400C2×#104C22×C4111yescharacteristic
401C2×#104C22×C4111yescharacteristic
402C2×#104C22×C4111yescharacteristic
403#419C22×C4111yescharacteristic
404#413—22no—
405#413C22×C4111yescharacteristic
406#413C22×C4111yescharacteristic
407#413C22×C4111yescharacteristic
408C2×#101—22no—
409C2×#101C22×C4111yescharacteristic
410C2×#101C22×C4111yescharacteristic
411C2×#101C22×C4111yescharacteristic
412C2×#101C22×C4111yescharacteristic
413C2×#101C22×C4111yescharacteristic
414C2×#101C22×C4111yescharacteristic
415C4×M16C22×C4111yescharacteristic
416#344C22×C4111yescharacteristic
417#344C22×C4111yescharacteristic
418#339C22×C4111yescharacteristic
419#338C22×C4111yescharacteristic
420C41#2519811yescharacteristic, direct product factor, Sylow
4212−1+4—22no—
4222−1+4—22no—
4232−1+4—41no—
4242−1+4—41no—
425C2×#41—21no—
426C2×#41—21no—
427C2×#41—22no—
428C2×#41C23×C4111yescharacteristic
429C2×#41C23×C4111yescharacteristic
430C2×#41C23×C4111yescharacteristic
431C22×Q8—21no—
432C22×Q8—21no—
433C22×Q8C23×C4111yescharacteristic
434C22×Q8C23×C4111yescharacteristic
435#137—21no—
436#137—22no—
437#137—22no—
438#137—21no—
439#137—21no—
440#137—22no—
441#137—22no—
442#137—41no—
443#137—41no—
444#137D4×C4112yes—
445AGL(1,ℤ/8)—21no—
446AGL(1,ℤ/8)—21no—
447AGL(1,ℤ/8)—21no—
448AGL(1,ℤ/8)D4×C4112yes—
449#135—22no—
450#135—41no—
451C2×Q16—21no—
452C2×Q16—21no—
453C2×Q16—21no—
454C2×SD16—21no—
455C2×SD16—21no—
456C2×SD16—21no—
457#131—22no—
458#131—22no—
459#131—22no—
460#131—22no—
461#131—41no—
462#131—41no—
463C2×M16—22no—
464C2×M16—22no—
465C2×M16—41no—
466C2×M16C23×C4111yescharacteristic
467C2×M16C23×C4111yescharacteristic
468C2×M16C23×C4111yescharacteristic
469C2×M16C23×C4111yescharacteristic
470C2×M16C23×C4111yescharacteristic
471C2×M16C23×C4111yescharacteristic
472C2×M16C23×C4111yescharacteristic
473C2×M16C23×C4111yescharacteristic
474C4⋊Q8—21no—
475C4⋊Q8—21no—
476C4⋊Q8—21no—
477C4⋊Q8—41no—
478#124—21no—
479#123—22no—
480C22⋊Q8—41no—
481#117C23×C4111yescharacteristic
482C2×C4⋊C4—22no—
483C2×C42C23×C4111yescharacteristic
484#108—22no—
485#108—22no—
486#108—22no—
487C4⋊C8—41no—
488#104—22no—
489#104—22no—
490#104—21no—
491#104—21no—
492#104—21no—
493#104—21no—
494#104D4×C4112yes—
495#104D4×C4112yes—
496#103—41no—
497#101—21no—
498#101—21no—
499#101—22no—
500#101—22no—
501#101—22no—
502#101—22no—
503#101—22no—
504#101—22no—
505#101D4×C4112yes—
506#100—21no—
507#100—21no—
508#100D4×C4112yes—
509#97—21no—
510C4×C8—21no—
511#41—21no—
512#41—21no—
513#41—21no—
514#41—21no—
515#41—21no—
516#41—21no—
517#41—21no—
518#41—21no—
519#41—21no—
520#41—21no—
521#41—42no—
522#41—42no—
523#41—44no—
524#41—44no—
525#41—42no—
526#41—42no—
527#41C2×D4×C4112yes—
528#41C2×D4×C4112yes—
529C2×Q8—22no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—21no—
533C2×Q8—21no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—42no—
543C2×Q8—42no—
544C2×Q8—42no—
545C2×Q8—42no—
546C2×Q8C2×D4×C4111yescharacteristic
547C2×Q8C2×D4×C4111yescharacteristic
548C2×Q8#41×C4111yescharacteristic
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4C2×D4×C4111yescharacteristic
554C2×D4C2×D4×C4111yescharacteristic
555C2×D4#41×C4111yescharacteristic
556C22×C4—21no—
557C22×C4—22no—
558C22×C4—22no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4#41×C4112yes—
564C22×C4C24×C4111yescharacteristic
565Q16—22no—
566Q16—42no—
567Q16—42no—
568Q16—41no—
569Q16—42no—
570SD16—22no—
571SD16—22no—
572SD16—42no—
573SD16—42no—
574SD16—41no—
575SD16—41no—
576SD16—42no—
577D8—22no—
578D8—41no—
579M16—21no—
580M16—21no—
581M16—21no—
582M16—21no—
583M16—21no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—21no—
588M16—21no—
589M16—21no—
590M16—21no—
591M16—42no—
592M16—42no—
593M16—42no—
594M16C2×D4×C4112yes—
595M16C2×D4×C4112yes—
596M16C2×D4×C4112yes—
597M16C2×D4×C4112yes—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—21no—
602C2×C8—21no—
603C2×C8—21no—
604C2×C8—21no—
605C2×C8—21no—
606C2×C8—42no—
607C2×C8—42no—
608C2×C8—42no—
609C4⋊C4—21no—
610C4⋊C4—42no—
611C4⋊C4—42no—
612C4⋊C4—42no—
613C22⋊C4—21no—
614C22⋊C4—42no—
615C42—21no—
616C42—21no—
617C42C2×D4×C4111yescharacteristic
618C42C2×D4×C4111yescharacteristic
619C23—21no—
620C23—21no—
621C23—21no—
622C23C2×#41×C4111yescharacteristic
623Q8—21no—
624Q8—21no—
625Q8—21no—
626Q8—21no—
627Q8—21no—
628Q8—44no—
629Q8—41no—
630Q8—41no—
631Q8—41no—
632Q8—41no—
633Q8—41no—
634Q8—41no—
635Q8—41no—
636Q8—41no—
637Q8#121×C4112yes—
638D4—22no—
639D4—22no—
640D4—21no—
641D4—21no—
642D4—21no—
643D4—21no—
644D4—21no—
645D4—44no—
646D4—41no—
647D4—41no—
648D4—41no—
649D4—41no—
650D4#121×C4112yes—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—22no—
661C2×C4—44no—
662C2×C4—42no—
663C2×C4—44no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4C22×D4×C4111yescharacteristic
673C2×C4C22×D4×C4111yescharacteristic
674C2×C4C22×D4×C4111yescharacteristic
675C2×C4C2×#41×C4111yescharacteristic
676C2×C4H(5,𝔽2)×C4111yescharacteristic
677C2×C4H(5,𝔽2)×C4111yescharacteristic
678C8—22no—
679C8—22no—
680C8—22no—
681C8—22no—
682C8—41no—
683C8—41no—
684C8—41no—
685C8—41no—
686C22—22no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22C41×#52511yescharacteristic
694C22C41×#54611yescharacteristic
695C22C41×#54611yescharacteristic
696C4—22no—
697C4—22no—
698C4—41no—
699C4—42no—
700C4—41no—
701C4—41no—
702C4—81no—
703C4—81no—
704C4C2×#121×C4111yescharacteristic
705C4C41×#53811yescharacteristic
706C4D42×C4111yescharacteristic
707C4D42×C4111yescharacteristic
708C2—21no—
709C2—21no—
710C2—21no—
711C2—42no—
712C2—81no—
713C2—81no—
714C2C41×#242411yescharacteristic
subgroupG/H
center, socleC2×C41#2424
commutator, Frattini, cosocleC22×C4C24×C41
prime radicalC41×#3020C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C41 ◁ C22×C4×C41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C41×#3069C2semidirect
2. C41×#3069C2semidirect
4. C2×C41×#456C2semidirect
5. C41×#2956C2semidirect
6. C41×#2889C2semidirect
7. C41×#2070C2semidirect
8. C41×#2050C2semidirect
9. C41×#2049C2semidirect
10. C41×#2005C2semidirect
11. C41×#1966C2semidirect
12. C41×#1932C2semidirect
13. C41×#1915C2semidirect
14. C41×#1902C2semidirect
15. C41×#1861C2semidirect
328. #25198C41direct (N × H)
351. #3069C2×C41semidirect
352. #3069C2×C41semidirect
354. C2×#456C2×C41semidirect
355. #2956C2×C41semidirect
356. #2889C2×C41semidirect
357. #2070C2×C41semidirect
358. #2050C2×C41semidirect
359. #2049C2×C41semidirect
360. #2005C2×C41semidirect
361. #1966C2×C41semidirect
362. #1932C2×C41semidirect
363. #1915C2×C41semidirect
364. #1902C2×C41semidirect
365. #1861C2×C41semidirect
420. C41#25198direct (N × H)

Maximal subgroups

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

subgroupindex
C41×#30692
C41×#30202
C2×C41×#4562
C41×#29562
C41×#28892
C41×#20702
C41×#20502
C41×#20492
C41×#20052
C41×#19662
C41×#19322
C41×#19152
C41×#19022
C41×#18612
#2519841