Finite Group Databasebeta

← C101×#20309 #38802460

Subgroups — C101×#20309 #38802460

Order 25856.

720 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C101×#3397C211yesmaximal, characteristic, complemented
2C101×#3353C211yesmaximal, characteristic, complemented
3C101×#3274C211yesmaximal, characteristic, complemented
4C101×#3272C211yesmaximal, characteristic, complemented
5C101×#1706C211yesmaximal, characteristic, complemented
6C101×#1693C211yesmaximal, characteristic, complemented
7C101×#1687C211yesmaximal, characteristic, complemented
8C101×#1686C211yesmaximal, characteristic, complemented
9C101×#1685C211yesmaximal, characteristic, complemented
10C101×#1642C211yesmaximal, characteristic, complemented
11C101×#1639C211yesmaximal, characteristic, complemented
12C101×#1628C211yesmaximal, characteristic, complemented
13C101×#1625C211yesmaximal, characteristic, complemented
14C101×#1590C211yesmaximal, characteristic, complemented
15C101×#1589C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C101—21no—
17C2×AGL(1,ℤ/8)×C101—21no—
18#556×C101C2211yescharacteristic, complemented
19#550×C101C2211yescharacteristic
20#547×C101C2211yescharacteristic
21D42×C101C2211yescharacteristic
22#500×C101C2211yescharacteristic, complemented
23#496×C101—21no—
24#493×C101C2211yescharacteristic
25#492×C101C2211yescharacteristic
26#492×C101C2211yescharacteristic, complemented
27#486×C101C2211yescharacteristic
28#486×C101C2211yescharacteristic, complemented
29#484×C101—21no—
30#482×C101—21no—
31#475×C101C2211yescharacteristic, complemented
32#474×C101C2211yescharacteristic
33#469×C101—21no—
34#468×C101—21no—
35#468×C101—21no—
36#463×C101—21no—
37#461×C101C2211yescharacteristic
38#461×C101C2211yescharacteristic
39#460×C101—21no—
40#460×C101C2211yescharacteristic
41#459×C101C2211yescharacteristic
42#459×C101C2211yescharacteristic
43#459×C101C2211yescharacteristic, complemented
44#450×C101—21no—
45#449×C101—21no—
46#449×C101—21no—
47#447×C101—21no—
48#446×C101C2211yescharacteristic, complemented
49#440×C101—21no—
50C4×SD16×C101C2211yescharacteristic
51C4×D8×C101C2211yescharacteristic
52#436×C101C2211yescharacteristic
53#436×C101C2211yescharacteristic
54#436×C101C2211yescharacteristic, complemented
55#428×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—
72AGL(1,ℤ/8)×C101—44no—
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×C101—21no—
80C2×SD16×C101D411yescharacteristic
81C2×D8×C101—21no—
82C2×D8×C101—21no—
83C2×D8×C101—21no—
84C2×D8×C101—21no—
85C2×D8×C101—21no—
86C2×D8×C101D411yescharacteristic
87C2×M16×C101—21no—
88C2×M16×C101—21no—
89C2×M16×C101—21no—
90C4⋊Q8×C101C2311yescharacteristic
91C4⋊Q8×C101C2311yescharacteristic
92#127×C101—21no—
93#127×C101C2311yescharacteristic
94#127×C101C2311yescharacteristic
95#126×C101—41no—
96#124×C101—21no—
97#123×C101—41no—
98C22⋊Q8×C101—21no—
99C22⋊Q8×C101—21no—
100#121×C101—21no—
101#121×C101—21no—
102#121×C101—21no—
103#121×C101—21no—
104#121×C101—41no—
105#120×C101—41no—
106C4×Q8×C101—21no—
107C4×Q8×C101C2311yescharacteristic
108C4×D4×C101—21no—
109C4×D4×C101C2311yescharacteristic
110C4×D4×C101C2311yescharacteristic
111C4×D4×C101C2311yescharacteristic
112#117×C101—21no—
113C2×C4⋊C4×C101—21no—
114#107×C101—21no—
115#107×C101—21no—
116#107×C101—21no—
117#107×C101D411yescharacteristic
118#106×C101—21no—
119#106×C101D411yescharacteristic
120C4⋊C8×C101—21no—
121C4⋊C8×C101C2311yescharacteristic
122C4⋊C8×C101C2311yescharacteristic
123C4⋊C8×C101C2311yescharacteristic
124C4⋊C8×C101C2311yescharacteristic
125#103×C101—21no—
126#103×C101—21no—
127#103×C101—21no—
128#103×C101D411yescharacteristic
129#102×C101—21no—
130#102×C101—21no—
131#102×C101—21no—
132#102×C101—21no—
133#102×C101—21no—
134#102×C101—41no—
135#102×C101—41no—
136#102×C101D411yescharacteristic
137#102×C101D411yescharacteristic
138#102×C101D411yescharacteristic
139C22⋊C8×C101—21no—
140C22⋊C8×C101—21no—
141C22⋊C8×C101—21no—
142#97×C101—21no—
143C4×C8×C101C2311yescharacteristic
144C4×C8×C101C2311yescharacteristic
145C4×C8×C101C2311yescharacteristic
146C24×C101—41no—
147#41×C101—42no—
148#41×C101—42no—
149#41×C101—81no—
150#41×C101—81no—
151C2×Q8×C101—21no—
152C2×Q8×C101—21no—
153C2×Q8×C101C2×D411yescharacteristic
154C2×D4×C101—21no—
155C2×D4×C101—21no—
156C2×D4×C101—21no—
157C2×D4×C101—21no—
158C2×D4×C101—21no—
159C2×D4×C101—21no—
160C2×D4×C101—41no—
161C2×D4×C101—41no—
162C2×D4×C101—41no—
163C2×D4×C101—41no—
164C2×D4×C101—42no—
165C2×D4×C101—42no—
166C2×D4×C101—41no—
167C2×D4×C101—81no—
168C2×D4×C101—81no—
169C2×D4×C101C2×D411yescharacteristic
170C2×D4×C101C2×D411yescharacteristic
171C2×D4×C101C2×D411yescharacteristic
172C22×C4×C101—21no—
173C22×C4×C101—21no—
174C22×C4×C101—21no—
175C22×C4×C101—41no—
176C22×C4×C101—41no—
177SD16×C101—22no—
178SD16×C101—42no—
179SD16×C101—42no—
180SD16×C101—42no—
181SD16×C101—42no—
182SD16×C101—81no—
183SD16×C101—81no—
184SD16×C101—81no—
185D8×C101—22no—
186D8×C101—42no—
187D8×C101—42no—
188D8×C101—42no—
189D8×C101—81no—
190D8×C101—81no—
191M16×C101—42no—
192M16×C101—42no—
193M16×C101—42no—
194C2×C8×C101—21no—
195C2×C8×C101—21no—
196C2×C8×C101—21no—
197C2×C8×C101—21no—
198C2×C8×C101—21no—
199C2×C8×C101C2×D411yescharacteristic
200C2×C8×C101C2×D411yescharacteristic
201C2×C8×C101C2×D411yescharacteristic
202C2×C8×C101C2×D411yescharacteristic
203C4⋊C4×C101—21no—
204C4⋊C4×C101—21no—
205C4⋊C4×C101—21no—
206C4⋊C4×C101—21no—
207C4⋊C4×C101—21no—
208C4⋊C4×C101—41no—
209C4⋊C4×C101—41no—
210C4⋊C4×C101C2×D411yescharacteristic
211C4⋊C4×C101C2×D411yescharacteristic
212C4⋊C4×C101C2×D411yescharacteristic
213C4⋊C4×C101C2×D411yescharacteristic
214C22⋊C4×C101—21no—
215C22⋊C4×C101—21no—
216C22⋊C4×C101—21no—
217C22⋊C4×C101—41no—
218C22⋊C4×C101—41no—
219C22⋊C4×C101—41no—
220C22⋊C4×C101—41no—
221C22⋊C4×C101—41no—
222C42×C101—21no—
223C42×C101—41no—
224C42×C101C2411yescharacteristic
225C23×C101—21no—
226C23×C101—21no—
227C23×C101—21no—
228C23×C101—41no—
229C23×C101—41no—
230C23×C101—82no—
231C23×C101—82no—
232C23×C101—161no—
233Q8×C101—21no—
234Q8×C101—21no—
235Q8×C101—41no—
236Q8×C101—41no—
237Q8×C101—41no—
238Q8×C101—41no—
239D4×C101—21no—
240D4×C101—21no—
241D4×C101—21no—
242D4×C101—21no—
243D4×C101—21no—
244D4×C101—21no—
245D4×C101—41no—
246D4×C101—41no—
247D4×C101—41no—
248D4×C101—41no—
249D4×C101—41no—
250D4×C101—41no—
251D4×C101—41no—
252D4×C101—41no—
253D4×C101—81no—
254D4×C101—81no—
255D4×C101—82no—
256D4×C101—82no—
257D4×C101—82no—
258D4×C101—82no—
259D4×C101—161no—
260C2×C4×C101—21no—
261C2×C4×C101—21no—
262C2×C4×C101—21no—
263C2×C4×C101—21no—
264C2×C4×C101—21no—
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—41no—
272C2×C4×C101—41no—
273C2×C4×C101—82no—
274C2×C4×C101—82no—
275C2×C4×C101C22×D411yescharacteristic
276C2×C4×C101C22×D411yescharacteristic
277C2×C4×C101H(5,𝔽2)11yescharacteristic
278C8×C101—21no—
279C8×C101—21no—
280C8×C101—41no—
281C8×C101—41no—
282C8×C101—41no—
283C8×C101—41no—
284C8×C101—41no—
285C8×C101AGL(1,ℤ/8)12yescomplemented
286C8×C101AGL(1,ℤ/8)12yescomplemented
287C22×C101—41no—
288C22×C101—41no—
289C22×C101—41no—
290C22×C101—41no—
291C22×C101—41no—
292C22×C101—41no—
293C22×C101—41no—
294C22×C101—41no—
295C22×C101—41no—
296C22×C101—81no—
297C22×C101—81no—
298C22×C101—81no—
299C22×C101—81no—
300C22×C101—81no—
301C22×C101—81no—
302C22×C101—164no—
303C22×C101D4211yescharacteristic
304C4×C101—21no—
305C4×C101—41no—
306C4×C101—41no—
307C4×C101—41no—
308C4×C101—41no—
309C4×C101—41no—
310C4×C101—81no—
311C4×C101—81no—
312C4×C101C2×AGL(1,ℤ/8)11yescharacteristic
313C4×C101C2×AGL(1,ℤ/8)11yescharacteristic
314C4×C101#57611yescharacteristic
315C4×C101#57711yescharacteristic
316#20309C10111yesmaximal, characteristic, direct product factor, Sylow
317C2×C101—81no—
318C2×C101—81no—
319C2×C101—81no—
320C2×C101—161no—
321C2×C101—161no—
322C2×C101#327211yescharacteristic
323C2×C101#327411yescharacteristic
324C2×C101#329011yescharacteristic
325#3397C2×C10111yescharacteristic, complemented
326#3353C2×C10111yescharacteristic, complemented
327#3274C2×C10111yescharacteristic, complemented
328#3272C2×C10111yescharacteristic, complemented
329#1706C2×C10111yescharacteristic, complemented
330#1693C2×C10111yescharacteristic, complemented
331#1687C2×C10111yescharacteristic, complemented
332#1686C2×C10111yescharacteristic, complemented
333#1685C2×C10111yescharacteristic, complemented
334#1642C2×C10111yescharacteristic, complemented
335#1639C2×C10111yescharacteristic, complemented
336#1628C2×C10111yescharacteristic, complemented
337#1625C2×C10111yescharacteristic, complemented
338#1590C2×C10111yescharacteristic, complemented
339#1589C2×C10111yescharacteristic, complemented
340C101#2030911yescharacteristic, direct product factor, Sylow
341C2×AGL(1,ℤ/8)—21no—
342C2×AGL(1,ℤ/8)—21no—
343#556C22×C10111yescharacteristic, complemented
344#550C22×C10111yescharacteristic
345#547C22×C10111yescharacteristic
346D42C22×C10111yescharacteristic
347#500C22×C10111yescharacteristic, complemented
348#496—21no—
349#493C22×C10111yescharacteristic
350#492C22×C10111yescharacteristic
351#492C22×C10111yescharacteristic, complemented
352#486C22×C10111yescharacteristic
353#486C22×C10111yescharacteristic, complemented
354#484—21no—
355#482—21no—
356#475C22×C10111yescharacteristic, complemented
357#474C22×C10111yescharacteristic
358#469—21no—
359#468—21no—
360#468—21no—
361#463—21no—
362#461C22×C10111yescharacteristic
363#461C22×C10111yescharacteristic
364#460—21no—
365#460C22×C10111yescharacteristic
366#459C22×C10111yescharacteristic
367#459C22×C10111yescharacteristic
368#459C22×C10111yescharacteristic, complemented
369#450—21no—
370#449—21no—
371#449—21no—
372#447—21no—
373#446C22×C10111yescharacteristic, complemented
374#440—21no—
375C4×SD16C22×C10111yescharacteristic
376C4×D8C22×C10111yescharacteristic
377#436C22×C10111yescharacteristic
378#436C22×C10111yescharacteristic
379#436C22×C10111yescharacteristic, complemented
380#428—21no—
381#335C22×C10111yescharacteristic, complemented
382#334C22×C10111yescharacteristic, complemented
383#332C22×C10111yescharacteristic, complemented
384#332C22×C10111yescharacteristic, complemented
385#331C22×C10111yescharacteristic
386#331C22×C10111yescharacteristic, complemented
387Q8⋊C8C22×C10111yescharacteristic, complemented
388D4⋊C8C22×C10111yescharacteristic
389D4⋊C8C22×C10111yescharacteristic
390D4⋊C8C22×C10111yescharacteristic, complemented
391C82C22×C10111yescharacteristic, complemented
392C2×#41—21no—
393C2×#41—21no—
394C22×D4—21no—
395C22×D4—21no—
396AGL(1,ℤ/8)—44no—
397AGL(1,ℤ/8)—44no—
398C2×SD16—21no—
399C2×SD16—21no—
400C2×SD16—21no—
401C2×SD16—21no—
402C2×SD16—21no—
403C2×SD16—21no—
404C2×SD16—21no—
405C2×SD16D4×C10111yescharacteristic
406C2×D8—21no—
407C2×D8—21no—
408C2×D8—21no—
409C2×D8—21no—
410C2×D8—21no—
411C2×D8D4×C10111yescharacteristic
412C2×M16—21no—
413C2×M16—21no—
414C2×M16—21no—
415C4⋊Q8C23×C10111yescharacteristic
416C4⋊Q8C23×C10111yescharacteristic
417#127—21no—
418#127C23×C10111yescharacteristic
419#127C23×C10111yescharacteristic
420#126—41no—
421#124—21no—
422#123—41no—
423C22⋊Q8—21no—
424C22⋊Q8—21no—
425#121—21no—
426#121—21no—
427#121—21no—
428#121—21no—
429#121—41no—
430#120—41no—
431C4×Q8—21no—
432C4×Q8C23×C10111yescharacteristic
433C4×D4—21no—
434C4×D4C23×C10111yescharacteristic
435C4×D4C23×C10111yescharacteristic
436C4×D4C23×C10111yescharacteristic
437#117—21no—
438C2×C4⋊C4—21no—
439#107—21no—
440#107—21no—
441#107—21no—
442#107D4×C10111yescharacteristic
443#106—21no—
444#106D4×C10111yescharacteristic
445C4⋊C8—21no—
446C4⋊C8C23×C10111yescharacteristic
447C4⋊C8C23×C10111yescharacteristic
448C4⋊C8C23×C10111yescharacteristic
449C4⋊C8C23×C10111yescharacteristic
450#103—21no—
451#103—21no—
452#103—21no—
453#103D4×C10111yescharacteristic
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458#102—21no—
459#102—41no—
460#102—41no—
461#102D4×C10111yescharacteristic
462#102D4×C10111yescharacteristic
463#102D4×C10111yescharacteristic
464C22⋊C8—21no—
465C22⋊C8—21no—
466C22⋊C8—21no—
467#97—21no—
468C4×C8C23×C10111yescharacteristic
469C4×C8C23×C10111yescharacteristic
470C4×C8C23×C10111yescharacteristic
471C24—41no—
472#41—42no—
473#41—42no—
474#41—81no—
475#41—81no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8C2×D4×C10111yescharacteristic
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—41no—
486C2×D4—41no—
487C2×D4—41no—
488C2×D4—41no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—41no—
492C2×D4—81no—
493C2×D4—81no—
494C2×D4C2×D4×C10111yescharacteristic
495C2×D4C2×D4×C10111yescharacteristic
496C2×D4C2×D4×C10111yescharacteristic
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—41no—
501C22×C4—41no—
502SD16—22no—
503SD16—42no—
504SD16—42no—
505SD16—42no—
506SD16—42no—
507SD16—81no—
508SD16—81no—
509SD16—81no—
510D8—22no—
511D8—42no—
512D8—42no—
513D8—42no—
514D8—81no—
515D8—81no—
516M16—42no—
517M16—42no—
518M16—42no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8C2×D4×C10111yescharacteristic
525C2×C8C2×D4×C10111yescharacteristic
526C2×C8C2×D4×C10111yescharacteristic
527C2×C8C2×D4×C10111yescharacteristic
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—41no—
534C4⋊C4—41no—
535C4⋊C4C2×D4×C10111yescharacteristic
536C4⋊C4C2×D4×C10111yescharacteristic
537C4⋊C4C2×D4×C10111yescharacteristic
538C4⋊C4C2×D4×C10111yescharacteristic
539C22⋊C4—21no—
540C22⋊C4—21no—
541C22⋊C4—21no—
542C22⋊C4—41no—
543C22⋊C4—41no—
544C22⋊C4—41no—
545C22⋊C4—41no—
546C22⋊C4—41no—
547C42—21no—
548C42—41no—
549C42C24×C10111yescharacteristic
550C23—21no—
551C23—21no—
552C23—21no—
553C23—41no—
554C23—41no—
555C23—82no—
556C23—82no—
557C23—161no—
558Q8—21no—
559Q8—21no—
560Q8—41no—
561Q8—41no—
562Q8—41no—
563Q8—41no—
564D4—21no—
565D4—21no—
566D4—21no—
567D4—21no—
568D4—21no—
569D4—21no—
570D4—41no—
571D4—41no—
572D4—41no—
573D4—41no—
574D4—41no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—81no—
579D4—81no—
580D4—82no—
581D4—82no—
582D4—82no—
583D4—82no—
584D4—161no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—82no—
599C2×C4—82no—
600C2×C4C22×D4×C10111yescharacteristic
601C2×C4C22×D4×C10111yescharacteristic
602C2×C4H(5,𝔽2)×C10111yescharacteristic
603C8—21no—
604C8—21no—
605C8—41no—
606C8—41no—
607C8—41no—
608C8—41no—
609C8—41no—
610C8AGL(1,ℤ/8)×C10112yescomplemented
611C8AGL(1,ℤ/8)×C10112yescomplemented
612C22—41no—
613C22—41no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22—41no—
618C22—41no—
619C22—41no—
620C22—41no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—164no—
628C22D42×C10111yescharacteristic
629C4—21no—
630C4—41no—
631C4—41no—
632C4—41no—
633C4—41no—
634C4—41no—
635C4—81no—
636C4—81no—
637C4C2×AGL(1,ℤ/8)×C10111yescharacteristic
638C4C2×AGL(1,ℤ/8)×C10111yescharacteristic
639C4#576×C10111yescharacteristic
640C4#577×C10111yescharacteristic
641C2—81no—
642C2—81no—
643C2—81no—
644C2—161no—
645C2—161no—
646C2C101×#327211yescharacteristic
647C2C101×#327411yescharacteristic
648C2C101×#329011yescharacteristic
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×#3353C2semidirect
3. C101×#3274C2semidirect
4. C101×#3272C2semidirect
5. C101×#1706C2semidirect
6. C101×#1693C2semidirect
7. C101×#1687C2semidirect
8. C101×#1686C2semidirect
9. C101×#1685C2semidirect
10. C101×#1642C2semidirect
11. C101×#1639C2semidirect
12. C101×#1628C2semidirect
13. C101×#1625C2semidirect
14. C101×#1590C2semidirect
15. C101×#1589C2semidirect
18. #556×C101C22semidirect
22. #500×C101C22semidirect
26. #492×C101C22semidirect
28. #486×C101C22semidirect
31. #475×C101C22semidirect
43. #459×C101C22semidirect
48. #446×C101C22semidirect
54. #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
285. C8×C101AGL(1,ℤ/8)semidirect
286. C8×C101AGL(1,ℤ/8)semidirect
316. #20309C101direct (N × H)
325. #3397C2×C101semidirect
326. #3353C2×C101semidirect
327. #3274C2×C101semidirect
328. #3272C2×C101semidirect
329. #1706C2×C101semidirect
330. #1693C2×C101semidirect
331. #1687C2×C101semidirect
332. #1686C2×C101semidirect
333. #1685C2×C101semidirect
334. #1642C2×C101semidirect
335. #1639C2×C101semidirect
336. #1628C2×C101semidirect
337. #1625C2×C101semidirect
338. #1590C2×C101semidirect
339. #1589C2×C101semidirect
340. C101#20309direct (N × H)
343. #556C22×C101semidirect
347. #500C22×C101semidirect
351. #492C22×C101semidirect
353. #486C22×C101semidirect
356. #475C22×C101semidirect
368. #459C22×C101semidirect
373. #446C22×C101semidirect
379. #436C22×C101semidirect
381. #335C22×C101semidirect
382. #334C22×C101semidirect
383. #332C22×C101semidirect
384. #332C22×C101semidirect
386. #331C22×C101semidirect
387. Q8⋊C8C22×C101semidirect
390. D4⋊C8C22×C101semidirect
391. C82C22×C101semidirect
610. C8AGL(1,ℤ/8)×C101semidirect
611. C8AGL(1,ℤ/8)×C101semidirect

Maximal subgroups

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

subgroupindex
C101×#33972
C101×#33532
C101×#32742
C101×#32722
C101×#17062
C101×#16932
C101×#16872
C101×#16862
C101×#16852
C101×#16422
C101×#16392
C101×#16282
C101×#16252
C101×#15902
C101×#15892
#20309101