Finite Group Databasebeta

← C101×#20303 #38802454

Subgroups — C101×#20303 #38802454

Order 25856.

700 conjugacy classes of subgroups.

The subgroup lattice has 646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C101×#3397C211yesmaximal, characteristic, complemented
2C101×#3332C211yesmaximal, characteristic, complemented
3C101×#3324C211yesmaximal, characteristic, complemented
4C101×#3272C211yesmaximal, characteristic, complemented
5C101×#1706C211yesmaximal, characteristic, complemented
6C101×#1701C211yesmaximal, characteristic, complemented
7C101×#1701C211yesmaximal, characteristic, complemented
8C101×#1686C211yesmaximal, characteristic, complemented
9C101×#1685C211yesmaximal, characteristic, complemented
10C101×#1650C211yesmaximal, characteristic, complemented
11C101×#1647C211yesmaximal, characteristic, complemented
12C101×#1621C211yesmaximal, characteristic, complemented
13C101×#1619C211yesmaximal, characteristic, complemented
14C101×#1590C211yesmaximal, characteristic, complemented
15C101×#1589C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C101—21no—
17#556×C101C2211yescharacteristic
18#550×C101C2211yescharacteristic, complemented
19#547×C101C2211yescharacteristic
20D42×C101C2211yescharacteristic
21#500×C101C2211yescharacteristic, complemented
22#496×C101—21no—
23#493×C101C2211yescharacteristic
24#492×C101C2211yescharacteristic
25#492×C101C2211yescharacteristic, complemented
26#486×C101C2211yescharacteristic
27#486×C101C2211yescharacteristic, complemented
28#482×C101—21no—
29#481×C101—21no—
30#475×C101C2211yescharacteristic, complemented
31#474×C101C2211yescharacteristic
32#469×C101—21no—
33#468×C101—21no—
34#468×C101—21no—
35#463×C101—21no—
36#461×C101C2211yescharacteristic
37#461×C101C2211yescharacteristic, complemented
38#460×C101—21no—
39#460×C101C2211yescharacteristic
40#459×C101C2211yescharacteristic
41#459×C101C2211yescharacteristic
42#459×C101C2211yescharacteristic
43#450×C101—21no—
44#450×C101—21no—
45#449×C101—21no—
46#449×C101—21no—
47#446×C101C2211yescharacteristic, complemented
48#440×C101—21no—
49C4×SD16×C101C2211yescharacteristic
50C4×D8×C101C2211yescharacteristic
51#436×C101C2211yescharacteristic
52#436×C101C2211yescharacteristic
53#436×C101C2211yescharacteristic, complemented
54#418×C101—21no—
55#417×C101—21no—
56#335×C101C2211yescharacteristic, complemented
57#334×C101C2211yescharacteristic, complemented
58#332×C101C2211yescharacteristic, complemented
59#332×C101C2211yescharacteristic, complemented
60#331×C101C2211yescharacteristic
61#331×C101C2211yescharacteristic, complemented
62Q8⋊C8×C101C2211yescharacteristic, complemented
63D4⋊C8×C101C2211yescharacteristic
64D4⋊C8×C101C2211yescharacteristic
65D4⋊C8×C101C2211yescharacteristic, complemented
66C82×C101C2211yescharacteristic, complemented
67C2×#41×C101—21no—
68C2×#41×C101—21no—
69C22×D4×C101—21no—
70C22×D4×C101—21no—
71AGL(1,ℤ/8)×C101—44no—
72C2×SD16×C101—21no—
73C2×SD16×C101—21no—
74C2×SD16×C101—21no—
75C2×SD16×C101—21no—
76C2×SD16×C101—21no—
77C2×SD16×C101—21no—
78C2×SD16×C101—21no—
79C2×SD16×C101D411yescharacteristic
80C2×D8×C101—21no—
81C2×D8×C101—21no—
82C2×D8×C101—21no—
83C2×D8×C101—41no—
84C2×D8×C101D411yescharacteristic
85C2×M16×C101—21no—
86C2×M16×C101—21no—
87C2×M16×C101—21no—
88C4⋊Q8×C101C2311yescharacteristic
89C4⋊Q8×C101C2311yescharacteristic
90#127×C101—21no—
91#127×C101C2311yescharacteristic
92#127×C101C2311yescharacteristic
93#126×C101—41no—
94#124×C101—21no—
95#123×C101—41no—
96C22⋊Q8×C101—21no—
97C22⋊Q8×C101—21no—
98#121×C101—21no—
99#121×C101—21no—
100#121×C101—21no—
101#121×C101—21no—
102#121×C101—41no—
103#120×C101—41no—
104C4×Q8×C101—21no—
105C4×Q8×C101C2311yescharacteristic
106C4×D4×C101—21no—
107C4×D4×C101C2311yescharacteristic
108C4×D4×C101C2311yescharacteristic
109C4×D4×C101C2311yescharacteristic
110#117×C101—21no—
111C2×C4⋊C4×C101—21no—
112#107×C101—21no—
113#107×C101—41no—
114#107×C101D411yescharacteristic
115#106×C101—21no—
116#106×C101D411yescharacteristic
117C4⋊C8×C101—21no—
118C4⋊C8×C101C2311yescharacteristic
119C4⋊C8×C101C2311yescharacteristic
120C4⋊C8×C101C2311yescharacteristic
121C4⋊C8×C101C2311yescharacteristic
122#103×C101—21no—
123#103×C101—21no—
124#103×C101—21no—
125#103×C101D411yescharacteristic
126#102×C101—21no—
127#102×C101—21no—
128#102×C101—21no—
129#102×C101—21no—
130#102×C101—21no—
131#102×C101—21no—
132#102×C101—21no—
133#102×C101—21no—
134#102×C101—21no—
135#102×C101D411yescharacteristic
136#102×C101D411yescharacteristic
137#102×C101D411yescharacteristic
138C22⋊C8×C101—21no—
139C22⋊C8×C101—21no—
140C22⋊C8×C101—21no—
141#97×C101—21no—
142C4×C8×C101C2311yescharacteristic
143C4×C8×C101C2311yescharacteristic
144C4×C8×C101C2311yescharacteristic
145C24×C101—41no—
146#41×C101—42no—
147#41×C101—42no—
148#41×C101—81no—
149#41×C101—81no—
150C2×Q8×C101—21no—
151C2×Q8×C101—21no—
152C2×Q8×C101C2×D411yescharacteristic
153C2×D4×C101—21no—
154C2×D4×C101—21no—
155C2×D4×C101—21no—
156C2×D4×C101—21no—
157C2×D4×C101—21no—
158C2×D4×C101—21no—
159C2×D4×C101—41no—
160C2×D4×C101—41no—
161C2×D4×C101—41no—
162C2×D4×C101—41no—
163C2×D4×C101—42no—
164C2×D4×C101—42no—
165C2×D4×C101—41no—
166C2×D4×C101—81no—
167C2×D4×C101—81no—
168C2×D4×C101C2×D411yescharacteristic
169C2×D4×C101C2×D411yescharacteristic
170C2×D4×C101C2×D411yescharacteristic
171C22×C4×C101—21no—
172C22×C4×C101—21no—
173C22×C4×C101—21no—
174C22×C4×C101—41no—
175C22×C4×C101—41no—
176SD16×C101—41no—
177SD16×C101—42no—
178SD16×C101—42no—
179SD16×C101—42no—
180SD16×C101—81no—
181SD16×C101—81no—
182SD16×C101—81no—
183SD16×C101—81no—
184D8×C101—22no—
185D8×C101—42no—
186D8×C101—82no—
187D8×C101—81no—
188D8×C101—81no—
189M16×C101—42no—
190M16×C101—81no—
191M16×C101—81no—
192C2×C8×C101—21no—
193C2×C8×C101—21no—
194C2×C8×C101—21no—
195C2×C8×C101—21no—
196C2×C8×C101—21no—
197C2×C8×C101C2×D411yescharacteristic
198C2×C8×C101C2×D411yescharacteristic
199C2×C8×C101C2×D411yescharacteristic
200C2×C8×C101C2×D411yescharacteristic
201C4⋊C4×C101—21no—
202C4⋊C4×C101—21no—
203C4⋊C4×C101—21no—
204C4⋊C4×C101—21no—
205C4⋊C4×C101—21no—
206C4⋊C4×C101—41no—
207C4⋊C4×C101—41no—
208C4⋊C4×C101C2×D411yescharacteristic
209C4⋊C4×C101C2×D411yescharacteristic
210C4⋊C4×C101C2×D411yescharacteristic
211C4⋊C4×C101C2×D411yescharacteristic
212C22⋊C4×C101—21no—
213C22⋊C4×C101—21no—
214C22⋊C4×C101—21no—
215C22⋊C4×C101—41no—
216C22⋊C4×C101—41no—
217C22⋊C4×C101—41no—
218C22⋊C4×C101—41no—
219C22⋊C4×C101—41no—
220C42×C101—21no—
221C42×C101—41no—
222C42×C101C2411yescharacteristic
223C23×C101—21no—
224C23×C101—21no—
225C23×C101—21no—
226C23×C101—41no—
227C23×C101—41no—
228C23×C101—82no—
229C23×C101—82no—
230C23×C101—161no—
231Q8×C101—21no—
232Q8×C101—21no—
233Q8×C101—41no—
234Q8×C101—41no—
235Q8×C101—41no—
236Q8×C101—41no—
237D4×C101—21no—
238D4×C101—21no—
239D4×C101—21no—
240D4×C101—21no—
241D4×C101—21no—
242D4×C101—21no—
243D4×C101—41no—
244D4×C101—41no—
245D4×C101—41no—
246D4×C101—41no—
247D4×C101—41no—
248D4×C101—41no—
249D4×C101—41no—
250D4×C101—41no—
251D4×C101—81no—
252D4×C101—81no—
253D4×C101—82no—
254D4×C101—82no—
255D4×C101—82no—
256D4×C101—82no—
257D4×C101—161no—
258C2×C4×C101—21no—
259C2×C4×C101—21no—
260C2×C4×C101—21no—
261C2×C4×C101—21no—
262C2×C4×C101—21no—
263C2×C4×C101—41no—
264C2×C4×C101—41no—
265C2×C4×C101—41no—
266C2×C4×C101—41no—
267C2×C4×C101—41no—
268C2×C4×C101—41no—
269C2×C4×C101—41no—
270C2×C4×C101—41no—
271C2×C4×C101—82no—
272C2×C4×C101—82no—
273C2×C4×C101C22×D411yescharacteristic
274C2×C4×C101C22×D411yescharacteristic
275C2×C4×C101H(5,𝔽2)11yescharacteristic
276C8×C101—22no—
277C8×C101—21no—
278C8×C101—21no—
279C8×C101—21no—
280C8×C101—41no—
281C8×C101—41no—
282C8×C101—41no—
283C8×C101—41no—
284C8×C101AGL(1,ℤ/8)12yes—
285C22×C101—41no—
286C22×C101—41no—
287C22×C101—41no—
288C22×C101—41no—
289C22×C101—41no—
290C22×C101—41no—
291C22×C101—41no—
292C22×C101—41no—
293C22×C101—41no—
294C22×C101—81no—
295C22×C101—81no—
296C22×C101—81no—
297C22×C101—81no—
298C22×C101—81no—
299C22×C101—81no—
300C22×C101—164no—
301C22×C101D4211yescharacteristic
302C4×C101—21no—
303C4×C101—41no—
304C4×C101—41no—
305C4×C101—41no—
306C4×C101—41no—
307C4×C101—41no—
308C4×C101—81no—
309C4×C101—81no—
310C4×C101C2×AGL(1,ℤ/8)11yescharacteristic
311C4×C101#57511yescharacteristic
312C4×C101#57611yescharacteristic
313C4×C101#57611yescharacteristic
314#20303C10111yesmaximal, characteristic, direct product factor, Sylow
315C2×C101—81no—
316C2×C101—81no—
317C2×C101—81no—
318C2×C101—161no—
319C2×C101—161no—
320C2×C101#327311yescharacteristic
321C2×C101#327411yescharacteristic
322C2×C101#329111yescharacteristic
323#3397C2×C10111yescharacteristic, complemented
324#3332C2×C10111yescharacteristic, complemented
325#3324C2×C10111yescharacteristic, complemented
326#3272C2×C10111yescharacteristic, complemented
327#1706C2×C10111yescharacteristic, complemented
328#1701C2×C10111yescharacteristic, complemented
329#1701C2×C10111yescharacteristic, complemented
330#1686C2×C10111yescharacteristic, complemented
331#1685C2×C10111yescharacteristic, complemented
332#1650C2×C10111yescharacteristic, complemented
333#1647C2×C10111yescharacteristic, complemented
334#1621C2×C10111yescharacteristic, complemented
335#1619C2×C10111yescharacteristic, complemented
336#1590C2×C10111yescharacteristic, complemented
337#1589C2×C10111yescharacteristic, complemented
338C101#2030311yescharacteristic, direct product factor, Sylow
339C2×AGL(1,ℤ/8)—21no—
340#556C22×C10111yescharacteristic
341#550C22×C10111yescharacteristic, complemented
342#547C22×C10111yescharacteristic
343D42C22×C10111yescharacteristic
344#500C22×C10111yescharacteristic, complemented
345#496—21no—
346#493C22×C10111yescharacteristic
347#492C22×C10111yescharacteristic
348#492C22×C10111yescharacteristic, complemented
349#486C22×C10111yescharacteristic
350#486C22×C10111yescharacteristic, complemented
351#482—21no—
352#481—21no—
353#475C22×C10111yescharacteristic, complemented
354#474C22×C10111yescharacteristic
355#469—21no—
356#468—21no—
357#468—21no—
358#463—21no—
359#461C22×C10111yescharacteristic
360#461C22×C10111yescharacteristic, complemented
361#460—21no—
362#460C22×C10111yescharacteristic
363#459C22×C10111yescharacteristic
364#459C22×C10111yescharacteristic
365#459C22×C10111yescharacteristic
366#450—21no—
367#450—21no—
368#449—21no—
369#449—21no—
370#446C22×C10111yescharacteristic, complemented
371#440—21no—
372C4×SD16C22×C10111yescharacteristic
373C4×D8C22×C10111yescharacteristic
374#436C22×C10111yescharacteristic
375#436C22×C10111yescharacteristic
376#436C22×C10111yescharacteristic, complemented
377#418—21no—
378#417—21no—
379#335C22×C10111yescharacteristic, complemented
380#334C22×C10111yescharacteristic, complemented
381#332C22×C10111yescharacteristic, complemented
382#332C22×C10111yescharacteristic, complemented
383#331C22×C10111yescharacteristic
384#331C22×C10111yescharacteristic, complemented
385Q8⋊C8C22×C10111yescharacteristic, complemented
386D4⋊C8C22×C10111yescharacteristic
387D4⋊C8C22×C10111yescharacteristic
388D4⋊C8C22×C10111yescharacteristic, complemented
389C82C22×C10111yescharacteristic, complemented
390C2×#41—21no—
391C2×#41—21no—
392C22×D4—21no—
393C22×D4—21no—
394AGL(1,ℤ/8)—44no—
395C2×SD16—21no—
396C2×SD16—21no—
397C2×SD16—21no—
398C2×SD16—21no—
399C2×SD16—21no—
400C2×SD16—21no—
401C2×SD16—21no—
402C2×SD16D4×C10111yescharacteristic
403C2×D8—21no—
404C2×D8—21no—
405C2×D8—21no—
406C2×D8—41no—
407C2×D8D4×C10111yescharacteristic
408C2×M16—21no—
409C2×M16—21no—
410C2×M16—21no—
411C4⋊Q8C23×C10111yescharacteristic
412C4⋊Q8C23×C10111yescharacteristic
413#127—21no—
414#127C23×C10111yescharacteristic
415#127C23×C10111yescharacteristic
416#126—41no—
417#124—21no—
418#123—41no—
419C22⋊Q8—21no—
420C22⋊Q8—21no—
421#121—21no—
422#121—21no—
423#121—21no—
424#121—21no—
425#121—41no—
426#120—41no—
427C4×Q8—21no—
428C4×Q8C23×C10111yescharacteristic
429C4×D4—21no—
430C4×D4C23×C10111yescharacteristic
431C4×D4C23×C10111yescharacteristic
432C4×D4C23×C10111yescharacteristic
433#117—21no—
434C2×C4⋊C4—21no—
435#107—21no—
436#107—41no—
437#107D4×C10111yescharacteristic
438#106—21no—
439#106D4×C10111yescharacteristic
440C4⋊C8—21no—
441C4⋊C8C23×C10111yescharacteristic
442C4⋊C8C23×C10111yescharacteristic
443C4⋊C8C23×C10111yescharacteristic
444C4⋊C8C23×C10111yescharacteristic
445#103—21no—
446#103—21no—
447#103—21no—
448#103D4×C10111yescharacteristic
449#102—21no—
450#102—21no—
451#102—21no—
452#102—21no—
453#102—21no—
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458#102D4×C10111yescharacteristic
459#102D4×C10111yescharacteristic
460#102D4×C10111yescharacteristic
461C22⋊C8—21no—
462C22⋊C8—21no—
463C22⋊C8—21no—
464#97—21no—
465C4×C8C23×C10111yescharacteristic
466C4×C8C23×C10111yescharacteristic
467C4×C8C23×C10111yescharacteristic
468C24—41no—
469#41—42no—
470#41—42no—
471#41—81no—
472#41—81no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8C2×D4×C10111yescharacteristic
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—41no—
483C2×D4—41no—
484C2×D4—41no—
485C2×D4—41no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—41no—
489C2×D4—81no—
490C2×D4—81no—
491C2×D4C2×D4×C10111yescharacteristic
492C2×D4C2×D4×C10111yescharacteristic
493C2×D4C2×D4×C10111yescharacteristic
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—41no—
498C22×C4—41no—
499SD16—41no—
500SD16—42no—
501SD16—42no—
502SD16—42no—
503SD16—81no—
504SD16—81no—
505SD16—81no—
506SD16—81no—
507D8—22no—
508D8—42no—
509D8—82no—
510D8—81no—
511D8—81no—
512M16—42no—
513M16—81no—
514M16—81no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8C2×D4×C10111yescharacteristic
521C2×C8C2×D4×C10111yescharacteristic
522C2×C8C2×D4×C10111yescharacteristic
523C2×C8C2×D4×C10111yescharacteristic
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—41no—
530C4⋊C4—41no—
531C4⋊C4C2×D4×C10111yescharacteristic
532C4⋊C4C2×D4×C10111yescharacteristic
533C4⋊C4C2×D4×C10111yescharacteristic
534C4⋊C4C2×D4×C10111yescharacteristic
535C22⋊C4—21no—
536C22⋊C4—21no—
537C22⋊C4—21no—
538C22⋊C4—41no—
539C22⋊C4—41no—
540C22⋊C4—41no—
541C22⋊C4—41no—
542C22⋊C4—41no—
543C42—21no—
544C42—41no—
545C42C24×C10111yescharacteristic
546C23—21no—
547C23—21no—
548C23—21no—
549C23—41no—
550C23—41no—
551C23—82no—
552C23—82no—
553C23—161no—
554Q8—21no—
555Q8—21no—
556Q8—41no—
557Q8—41no—
558Q8—41no—
559Q8—41no—
560D4—21no—
561D4—21no—
562D4—21no—
563D4—21no—
564D4—21no—
565D4—21no—
566D4—41no—
567D4—41no—
568D4—41no—
569D4—41no—
570D4—41no—
571D4—41no—
572D4—41no—
573D4—41no—
574D4—81no—
575D4—81no—
576D4—82no—
577D4—82no—
578D4—82no—
579D4—82no—
580D4—161no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—82no—
595C2×C4—82no—
596C2×C4C22×D4×C10111yescharacteristic
597C2×C4C22×D4×C10111yescharacteristic
598C2×C4H(5,𝔽2)×C10111yescharacteristic
599C8—22no—
600C8—21no—
601C8—21no—
602C8—21no—
603C8—41no—
604C8—41no—
605C8—41no—
606C8—41no—
607C8AGL(1,ℤ/8)×C10112yes—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22—41no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22—81no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—81no—
622C22—81no—
623C22—164no—
624C22D42×C10111yescharacteristic
625C4—21no—
626C4—41no—
627C4—41no—
628C4—41no—
629C4—41no—
630C4—41no—
631C4—81no—
632C4—81no—
633C4C2×AGL(1,ℤ/8)×C10111yescharacteristic
634C4#575×C10111yescharacteristic
635C4#576×C10111yescharacteristic
636C4#576×C10111yescharacteristic
637C2—81no—
638C2—81no—
639C2—81no—
640C2—161no—
641C2—161no—
642C2C101×#327311yescharacteristic
643C2C101×#327411yescharacteristic
644C2C101×#329111yescharacteristic
subgroupG/H
center, socleC22×C101D42
commutator, Frattini, cosocleC42C24×C101
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C101 ◁ C42×C101 ◁ G

Complements

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

NH ≅ G/Ntype
1. C101×#3397C2semidirect
2. C101×#3332C2semidirect
3. C101×#3324C2semidirect
4. C101×#3272C2semidirect
5. C101×#1706C2semidirect
6. C101×#1701C2semidirect
7. C101×#1701C2semidirect
8. C101×#1686C2semidirect
9. C101×#1685C2semidirect
10. C101×#1650C2semidirect
11. C101×#1647C2semidirect
12. C101×#1621C2semidirect
13. C101×#1619C2semidirect
14. C101×#1590C2semidirect
15. C101×#1589C2semidirect
18. #550×C101C22semidirect
21. #500×C101C22semidirect
25. #492×C101C22semidirect
27. #486×C101C22semidirect
30. #475×C101C22semidirect
37. #461×C101C22semidirect
47. #446×C101C22semidirect
53. #436×C101C22semidirect
56. #335×C101C22semidirect
57. #334×C101C22semidirect
58. #332×C101C22semidirect
59. #332×C101C22semidirect
61. #331×C101C22semidirect
62. Q8⋊C8×C101C22semidirect
65. D4⋊C8×C101C22semidirect
66. C82×C101C22semidirect
314. #20303C101direct (N × H)
323. #3397C2×C101semidirect
324. #3332C2×C101semidirect
325. #3324C2×C101semidirect
326. #3272C2×C101semidirect
327. #1706C2×C101semidirect
328. #1701C2×C101semidirect
329. #1701C2×C101semidirect
330. #1686C2×C101semidirect
331. #1685C2×C101semidirect
332. #1650C2×C101semidirect
333. #1647C2×C101semidirect
334. #1621C2×C101semidirect
335. #1619C2×C101semidirect
336. #1590C2×C101semidirect
337. #1589C2×C101semidirect
338. C101#20303direct (N × H)
341. #550C22×C101semidirect
344. #500C22×C101semidirect
348. #492C22×C101semidirect
350. #486C22×C101semidirect
353. #475C22×C101semidirect
360. #461C22×C101semidirect
370. #446C22×C101semidirect
376. #436C22×C101semidirect
379. #335C22×C101semidirect
380. #334C22×C101semidirect
381. #332C22×C101semidirect
382. #332C22×C101semidirect
384. #331C22×C101semidirect
385. Q8⋊C8C22×C101semidirect
388. D4⋊C8C22×C101semidirect
389. C82C22×C101semidirect

Maximal subgroups

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

subgroupindex
C101×#33972
C101×#33322
C101×#33242
C101×#32722
C101×#17062
C101×#17012
C101×#16862
C101×#16852
C101×#16502
C101×#16472
C101×#16212
C101×#16192
C101×#15902
C101×#15892
#20303101