Finite Group Databasebeta

← C101×#18418 #38800569

Subgroups — C101×#18418 #38800569

Order 25856.

1176 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C101×#3537C211yesmaximal, characteristic, complemented
2C101×#3192C211yesmaximal, characteristic, complemented
3C101×#3188C211yesmaximal, characteristic, complemented
4C101×#2656C211yesmaximal, characteristic, complemented
5C101×#1618C212yesmaximal, complemented
6C101×#1613C212yesmaximal, complemented
7C101×#1600C212yesmaximal, complemented
8C101×#1595C212yesmaximal, complemented
9C101×#1504C211yesmaximal, characteristic, complemented
10C2×#327×C101C211yesmaximal, characteristic, complemented
11C101×#1471C211yesmaximal, characteristic, complemented
12#560×C101—22no—
13#553×C101—21no—
14#553×C101—21no—
15D42×C101—22no—
16D42×C101—21no—
17D42×C101—21no—
18#540×C101—21no—
19#538×C101—21no—
20#538×C101C2212yes—
21#535×C101—21no—
22#534×C101—21no—
23#534×C101C2212yes—
24#525×C101C2211yescharacteristic
25C2×#121×C101—22no—
26C2×#121×C101C2211yescharacteristic
27C2×#121×C101C2211yescharacteristic
28C2×#121×C101C2211yescharacteristic, complemented
29#484×C101C2211yescharacteristic, complemented
30#482×C101—21no—
31#481×C101—21no—
32#481×C101C2211yescharacteristic, complemented
33#481×C101C2212yescomplemented
34#469×C101—22no—
35#466×C101—21no—
36#465×C101—21no—
37#450×C101C2211yescharacteristic, complemented
38#449×C101—21no—
39#447×C101—21no—
40#447×C101C2211yescharacteristic, complemented
41#447×C101C2212yescomplemented
42#407×C101C2211yescharacteristic, complemented
43C2×C22⋊C8×C101C2211yescharacteristic, complemented
44#399×C101—21no—
45#399×C101C2212yescomplemented
46#392×C101—21no—
47#392×C101C2212yescomplemented
48C2×#95×C101C2211yescharacteristic, complemented
49#328×C101C2212yescomplemented
50#327×C101C2212yescomplemented
51#327×C101C2212yescomplemented
52#327×C101C2212yescomplemented
53#323×C101C2212yescomplemented
54#323×C101C2212yescomplemented
55C2×#41×C101D411yescharacteristic, complemented
56C22×D4×C101—22no—
57C22×D4×C101—21no—
58C22×D4×C101—21no—
59C22×D4×C101—22no—
60C22×D4×C101—21no—
61C22×D4×C101—22no—
62C22×D4×C101D412yes—
63C22×D4×C101D411yescharacteristic
64C22×D4×C101D411yescharacteristic, complemented
65C22×D4×C101C2311yescharacteristic
66C23×C4×C101—21no—
67C23×C4×C101C2311yescharacteristic
68C2×SD16×C101—21no—
69C2×D8×C101—22no—
70C2×D8×C101—21no—
71C2×M16×C101—21no—
72C22×C8×C101—21no—
73#127×C101—22no—
74#127×C101—21no—
75#126×C101—22no—
76#126×C101—22no—
77#125×C101—21no—
78#124×C101—22no—
79#123×C101—22no—
80#123×C101—21no—
81#123×C101—22no—
82#123×C101—22no—
83#123×C101—22no—
84C22⋊Q8×C101D411yescharacteristic, complemented
85C22⋊Q8×C101C2311yescharacteristic
86#121×C101—22no—
87#121×C101—21no—
88#121×C101—21no—
89#121×C101—22no—
90#121×C101—22no—
91#121×C101—22no—
92#121×C101—22no—
93#121×C101—21no—
94#121×C101—21no—
95#121×C101—21no—
96#121×C101—21no—
97#121×C101—21no—
98#121×C101—21no—
99#121×C101—22no—
100#121×C101—21no—
101#121×C101—21no—
102#121×C101—21no—
103#121×C101—21no—
104#121×C101—48no—
105#121×C101D411yescharacteristic, complemented
106#121×C101D412yescomplemented
107#121×C101C2312yes—
108#121×C101C2311yescharacteristic
109#120×C101—22no—
110#120×C101—22no—
111#120×C101—22no—
112#120×C101—21no—
113#120×C101—22no—
114#120×C101—22no—
115#120×C101—22no—
116C4×D4×C101—22no—
117C4×D4×C101—21no—
118C4×D4×C101—21no—
119C4×D4×C101—21no—
120C4×D4×C101—21no—
121C4×D4×C101—22no—
122#117×C101—21no—
123#117×C101D411yescharacteristic, complemented
124C2×C4⋊C4×C101—22no—
125C2×C4⋊C4×C101D411yescharacteristic
126C2×C4⋊C4×C101D411yescharacteristic, complemented
127C2×C4⋊C4×C101C2311yescharacteristic
128C2×C22⋊C4×C101—21no—
129C2×C22⋊C4×C101—22no—
130C2×C22⋊C4×C101—22no—
131C2×C22⋊C4×C101—21no—
132C2×C22⋊C4×C101C2312yes—
133#107×C101—21no—
134#106×C101—21no—
135#106×C101—22no—
136#103×C101—21no—
137#102×C101—22no—
138#102×C101—21no—
139#102×C101—21no—
140#102×C101—22no—
141#102×C101—21no—
142C22⋊C8×C101—21no—
143C22⋊C8×C101—21no—
144C22⋊C8×C101C2311yescharacteristic
145C22⋊C8×C101C2311yescharacteristic
146C22⋊C8×C101C2312yes—
147#95×C101—21no—
148#95×C101C2312yes—
149C24×C101—22no—
150C24×C101—21no—
151C24×C101—21no—
152C24×C101C2×D411yescharacteristic
153C24×C101C2×D412yes—
154#41×C101—81no—
155C2×Q8×C101C2×D411yescharacteristic
156C2×D4×C101—22no—
157C2×D4×C101—21no—
158C2×D4×C101—21no—
159C2×D4×C101—22no—
160C2×D4×C101—22no—
161C2×D4×C101—22no—
162C2×D4×C101—22no—
163C2×D4×C101—22no—
164C2×D4×C101—22no—
165C2×D4×C101—21no—
166C2×D4×C101—22no—
167C2×D4×C101—22no—
168C2×D4×C101—21no—
169C2×D4×C101—21no—
170C2×D4×C101—21no—
171C2×D4×C101—21no—
172C2×D4×C101—21no—
173C2×D4×C101—44no—
174C2×D4×C101—44no—
175C2×D4×C101—44no—
176C2×D4×C101—41no—
177C2×D4×C101—41no—
178C2×D4×C101—81no—
179C2×D4×C101—81no—
180C2×D4×C101—82no—
181C2×D4×C101—81no—
182C2×D4×C101—82no—
183C2×D4×C101—82no—
184C2×D4×C101—81no—
185C2×D4×C101—81no—
186C2×D4×C101—82no—
187C2×D4×C101—82no—
188C2×D4×C101—84no—
189C2×D4×C101C2×D411yescharacteristic
190C2×D4×C101C2×D412yes—
191C22×C4×C101—22no—
192C22×C4×C101—22no—
193C22×C4×C101—22no—
194C22×C4×C101—24no—
195C22×C4×C101—21no—
196C22×C4×C101—21no—
197C22×C4×C101—21no—
198C22×C4×C101—81no—
199C22×C4×C101—81no—
200C22×C4×C101—81no—
201C22×C4×C101C2×D412yes—
202C22×C4×C101C2×D411yescharacteristic
203C22×C4×C101C2×D411yescharacteristic
204C22×C4×C101C2×D411yescharacteristic
205C22×C4×C101C2×D411yescharacteristic
206C22×C4×C101C2×D411yescharacteristic
207C22×C4×C101C2411yescharacteristic
208SD16×C101—81no—
209D8×C101—81no—
210D8×C101—82no—
211M16×C101—81no—
212C2×C8×C101—21no—
213C2×C8×C101—22no—
214C2×C8×C101—21no—
215C2×C8×C101—81no—
216C4⋊C4×C101—22no—
217C4⋊C4×C101—22no—
218C4⋊C4×C101—21no—
219C4⋊C4×C101—21no—
220C4⋊C4×C101—21no—
221C4⋊C4×C101—21no—
222C4⋊C4×C101—21no—
223C4⋊C4×C101—21no—
224C4⋊C4×C101—21no—
225C4⋊C4×C101—44no—
226C4⋊C4×C101C2×D412yes—
227C4⋊C4×C101C2×D411yescharacteristic
228C4⋊C4×C101C2×D411yescharacteristic
229C22⋊C4×C101—22no—
230C22⋊C4×C101—22no—
231C22⋊C4×C101—22no—
232C22⋊C4×C101—22no—
233C22⋊C4×C101—22no—
234C22⋊C4×C101—21no—
235C22⋊C4×C101—21no—
236C22⋊C4×C101—21no—
237C22⋊C4×C101—22no—
238C22⋊C4×C101—21no—
239C22⋊C4×C101—22no—
240C22⋊C4×C101—22no—
241C22⋊C4×C101—22no—
242C22⋊C4×C101—21no—
243C22⋊C4×C101—44no—
244C22⋊C4×C101—44no—
245C22⋊C4×C101—41no—
246C22⋊C4×C101—41no—
247C42×C101—22no—
248C42×C101—21no—
249C23×C101—21no—
250C23×C101—21no—
251C23×C101—22no—
252C23×C101—22no—
253C23×C101—22no—
254C23×C101—21no—
255C23×C101—22no—
256C23×C101—22no—
257C23×C101—41no—
258C23×C101—42no—
259C23×C101—42no—
260C23×C101—42no—
261C23×C101—42no—
262C23×C101—42no—
263C23×C101—41no—
264C23×C101—41no—
265C23×C101—41no—
266C23×C101—81no—
267C23×C101—81no—
268C23×C101—82no—
269C23×C101—82no—
270C23×C101—82no—
271C23×C101#12011yescharacteristic
272C23×C101#12011yescharacteristic
273C23×C101C22×D411yescharacteristic
274Q8×C101—41no—
275D4×C101—42no—
276D4×C101—41no—
277D4×C101—42no—
278D4×C101—42no—
279D4×C101—42no—
280D4×C101—41no—
281D4×C101—41no—
282D4×C101—42no—
283D4×C101—41no—
284D4×C101—42no—
285D4×C101—41no—
286D4×C101—44no—
287D4×C101—42no—
288D4×C101—81no—
289D4×C101—82no—
290D4×C101—82no—
291D4×C101—81no—
292D4×C101—82no—
293D4×C101—82no—
294D4×C101—82no—
295D4×C101—82no—
296D4×C101—82no—
297D4×C101—88no—
298D4×C101—82no—
299D4×C101—82no—
300C2×C4×C101—24no—
301C2×C4×C101—21no—
302C2×C4×C101—22no—
303C2×C4×C101—22no—
304C2×C4×C101—21no—
305C2×C4×C101—21no—
306C2×C4×C101—41no—
307C2×C4×C101—41no—
308C2×C4×C101—41no—
309C2×C4×C101—41no—
310C2×C4×C101—41no—
311C2×C4×C101—41no—
312C2×C4×C101—42no—
313C2×C4×C101—42no—
314C2×C4×C101—42no—
315C2×C4×C101—42no—
316C2×C4×C101—42no—
317C2×C4×C101—41no—
318C2×C4×C101—81no—
319C2×C4×C101—84no—
320C2×C4×C101—82no—
321C2×C4×C101—82no—
322C2×C4×C101#12011yescharacteristic
323C2×C4×C101#12011yescharacteristic
324C2×C4×C101C22×D411yescharacteristic
325C2×C4×C101C22×D411yescharacteristic
326C8×C101—41no—
327C8×C101—41no—
328C8×C101—42no—
329C22×C101—21no—
330C22×C101—21no—
331C22×C101—21no—
332C22×C101—21no—
333C22×C101—21no—
334C22×C101—21no—
335C22×C101—21no—
336C22×C101—42no—
337C22×C101—42no—
338C22×C101—42no—
339C22×C101—42no—
340C22×C101—41no—
341C22×C101—42no—
342C22×C101—42no—
343C22×C101—41no—
344C22×C101—41no—
345C22×C101—42no—
346C22×C101—42no—
347C22×C101—82no—
348C22×C101—82no—
349C22×C101—82no—
350C22×C101—82no—
351C22×C101—81no—
352C22×C101—81no—
353C22×C101—81no—
354C22×C101—162no—
355C22×C101—164no—
356C22×C101#45312yes—
357C22×C101C2×#12011yescharacteristic
358C22×C101#57611yescharacteristic
359C22×C101#57711yescharacteristic
360C4×C101—21no—
361C4×C101—21no—
362C4×C101—21no—
363C4×C101—21no—
364C4×C101—44no—
365C4×C101—42no—
366C4×C101—41no—
367C4×C101—42no—
368C4×C101—41no—
369C4×C101—41no—
370C4×C101—81no—
371#18418C10111yesmaximal, characteristic, direct product factor, Sylow
372C2×C101—21no—
373C2×C101—21no—
374C2×C101—22no—
375C2×C101—41no—
376C2×C101—82no—
377C2×C101—82no—
378C2×C101—81no—
379C2×C101—161no—
380C2×C101#301211yescharacteristic
381C2×C101C2×#45311yescharacteristic
382C2×C101#302611yescharacteristic
383#3537C2×C10111yescharacteristic, complemented
384#3192C2×C10111yescharacteristic, complemented
385#3188C2×C10111yescharacteristic, complemented
386#2656C2×C10111yescharacteristic, complemented
387#1618C2×C10112yescomplemented
388#1613C2×C10112yescomplemented
389#1600C2×C10112yescomplemented
390#1595C2×C10112yescomplemented
391#1504C2×C10111yescharacteristic, complemented
392C2×#327C2×C10111yescharacteristic, complemented
393#1471C2×C10111yescharacteristic, complemented
394C101#1841811yescharacteristic, direct product factor, Sylow
395#560—22no—
396#553—21no—
397#553—21no—
398D42—22no—
399D42—21no—
400D42—21no—
401#540—21no—
402#538—21no—
403#538C22×C10112yes—
404#535—21no—
405#534—21no—
406#534C22×C10112yes—
407#525C22×C10111yescharacteristic
408C2×#121—22no—
409C2×#121C22×C10111yescharacteristic
410C2×#121C22×C10111yescharacteristic
411C2×#121C22×C10111yescharacteristic, complemented
412#484C22×C10111yescharacteristic, complemented
413#482—21no—
414#481—21no—
415#481C22×C10111yescharacteristic, complemented
416#481C22×C10112yescomplemented
417#469—22no—
418#466—21no—
419#465—21no—
420#450C22×C10111yescharacteristic, complemented
421#449—21no—
422#447—21no—
423#447C22×C10111yescharacteristic, complemented
424#447C22×C10112yescomplemented
425#407C22×C10111yescharacteristic, complemented
426C2×C22⋊C8C22×C10111yescharacteristic, complemented
427#399—21no—
428#399C22×C10112yescomplemented
429#392—21no—
430#392C22×C10112yescomplemented
431C2×#95C22×C10111yescharacteristic, complemented
432#328C22×C10112yescomplemented
433#327C22×C10112yescomplemented
434#327C22×C10112yescomplemented
435#327C22×C10112yescomplemented
436#323C22×C10112yescomplemented
437#323C22×C10112yescomplemented
438C2×#41D4×C10111yescharacteristic, complemented
439C22×D4—22no—
440C22×D4—21no—
441C22×D4—21no—
442C22×D4—22no—
443C22×D4—21no—
444C22×D4—22no—
445C22×D4D4×C10112yes—
446C22×D4D4×C10111yescharacteristic
447C22×D4D4×C10111yescharacteristic, complemented
448C22×D4C23×C10111yescharacteristic
449C23×C4—21no—
450C23×C4C23×C10111yescharacteristic
451C2×SD16—21no—
452C2×D8—22no—
453C2×D8—21no—
454C2×M16—21no—
455C22×C8—21no—
456#127—22no—
457#127—21no—
458#126—22no—
459#126—22no—
460#125—21no—
461#124—22no—
462#123—22no—
463#123—21no—
464#123—22no—
465#123—22no—
466#123—22no—
467C22⋊Q8D4×C10111yescharacteristic, complemented
468C22⋊Q8C23×C10111yescharacteristic
469#121—22no—
470#121—21no—
471#121—21no—
472#121—22no—
473#121—22no—
474#121—22no—
475#121—22no—
476#121—21no—
477#121—21no—
478#121—21no—
479#121—21no—
480#121—21no—
481#121—21no—
482#121—22no—
483#121—21no—
484#121—21no—
485#121—21no—
486#121—21no—
487#121—48no—
488#121D4×C10112yescomplemented
489#121D4×C10111yescharacteristic, complemented
490#121C23×C10112yes—
491#121C23×C10111yescharacteristic
492#120—22no—
493#120—22no—
494#120—22no—
495#120—21no—
496#120—22no—
497#120—22no—
498#120—22no—
499C4×D4—22no—
500C4×D4—21no—
501C4×D4—21no—
502C4×D4—21no—
503C4×D4—21no—
504C4×D4—22no—
505#117—21no—
506#117D4×C10111yescharacteristic, complemented
507C2×C4⋊C4—22no—
508C2×C4⋊C4D4×C10111yescharacteristic
509C2×C4⋊C4D4×C10111yescharacteristic, complemented
510C2×C4⋊C4C23×C10111yescharacteristic
511C2×C22⋊C4—21no—
512C2×C22⋊C4—22no—
513C2×C22⋊C4—22no—
514C2×C22⋊C4—21no—
515C2×C22⋊C4C23×C10112yes—
516#107—21no—
517#106—21no—
518#106—22no—
519#103—21no—
520#102—22no—
521#102—21no—
522#102—21no—
523#102—22no—
524#102—21no—
525C22⋊C8—21no—
526C22⋊C8—21no—
527C22⋊C8C23×C10111yescharacteristic
528C22⋊C8C23×C10111yescharacteristic
529C22⋊C8C23×C10112yes—
530#95—21no—
531#95C23×C10112yes—
532C24—22no—
533C24—21no—
534C24—21no—
535C24C2×D4×C10111yescharacteristic
536C24C2×D4×C10112yes—
537#41—81no—
538C2×Q8C2×D4×C10111yescharacteristic
539C2×D4—22no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—22no—
545C2×D4—22no—
546C2×D4—22no—
547C2×D4—22no—
548C2×D4—21no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—44no—
557C2×D4—44no—
558C2×D4—44no—
559C2×D4—41no—
560C2×D4—41no—
561C2×D4—81no—
562C2×D4—81no—
563C2×D4—82no—
564C2×D4—81no—
565C2×D4—82no—
566C2×D4—82no—
567C2×D4—81no—
568C2×D4—81no—
569C2×D4—82no—
570C2×D4—82no—
571C2×D4—84no—
572C2×D4C2×D4×C10111yescharacteristic
573C2×D4C2×D4×C10112yes—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—24no—
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—21no—
581C22×C4—81no—
582C22×C4—81no—
583C22×C4—81no—
584C22×C4C2×D4×C10112yes—
585C22×C4C2×D4×C10111yescharacteristic
586C22×C4C2×D4×C10111yescharacteristic
587C22×C4C2×D4×C10111yescharacteristic
588C22×C4C2×D4×C10111yescharacteristic
589C22×C4C2×D4×C10111yescharacteristic
590C22×C4C24×C10111yescharacteristic
591SD16—81no—
592D8—81no—
593D8—82no—
594M16—81no—
595C2×C8—21no—
596C2×C8—22no—
597C2×C8—21no—
598C2×C8—81no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—21no—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C4⋊C4—44no—
609C4⋊C4C2×D4×C10112yes—
610C4⋊C4C2×D4×C10111yescharacteristic
611C4⋊C4C2×D4×C10111yescharacteristic
612C22⋊C4—22no—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—21no—
622C22⋊C4—22no—
623C22⋊C4—22no—
624C22⋊C4—22no—
625C22⋊C4—21no—
626C22⋊C4—44no—
627C22⋊C4—44no—
628C22⋊C4—41no—
629C22⋊C4—41no—
630C42—22no—
631C42—21no—
632C23—22no—
633C23—21no—
634C23—21no—
635C23—22no—
636C23—22no—
637C23—21no—
638C23—22no—
639C23—22no—
640C23—41no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—41no—
647C23—41no—
648C23—41no—
649C23—81no—
650C23—81no—
651C23—82no—
652C23—82no—
653C23—82no—
654C23#120×C10111yescharacteristic
655C23#120×C10111yescharacteristic
656C23C22×D4×C10111yescharacteristic
657Q8—41no—
658D4—42no—
659D4—41no—
660D4—42no—
661D4—42no—
662D4—42no—
663D4—41no—
664D4—41no—
665D4—44no—
666D4—42no—
667D4—42no—
668D4—41no—
669D4—42no—
670D4—41no—
671D4—81no—
672D4—82no—
673D4—82no—
674D4—81no—
675D4—82no—
676D4—82no—
677D4—82no—
678D4—82no—
679D4—82no—
680D4—88no—
681D4—82no—
682D4—82no—
683C2×C4—24no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—41no—
701C2×C4—81no—
702C2×C4—84no—
703C2×C4—82no—
704C2×C4—82no—
705C2×C4#120×C10111yescharacteristic
706C2×C4#120×C10111yescharacteristic
707C2×C4C22×D4×C10111yescharacteristic
708C2×C4C22×D4×C10111yescharacteristic
709C8—41no—
710C8—41no—
711C8—42no—
712C22—21no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—21no—
717C22—21no—
718C22—21no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—41no—
724C22—42no—
725C22—42no—
726C22—41no—
727C22—41no—
728C22—42no—
729C22—42no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—81no—
735C22—81no—
736C22—81no—
737C22—162no—
738C22—164no—
739C22#453×C10112yes—
740C22C2×#120×C10111yescharacteristic
741C22#576×C10111yescharacteristic
742C22#577×C10111yescharacteristic
743C4—21no—
744C4—21no—
745C4—21no—
746C4—21no—
747C4—44no—
748C4—42no—
749C4—41no—
750C4—42no—
751C4—41no—
752C4—41no—
753C4—81no—
754C2—21no—
755C2—21no—
756C2—22no—
757C2—41no—
758C2—82no—
759C2—82no—
760C2—81no—
761C2—161no—
762C2C101×#301211yescharacteristic
763C2C2×#453×C10111yescharacteristic
764C2C101×#302611yescharacteristic
subgroupG/H
center, socleC22×C101C2×#120
commutator, Frattini, cosocleC22×C4C24×C101
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C101 ◁ C23×C4×C101 ◁ G

Complements

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

NH ≅ G/Ntype
1. C101×#3537C2semidirect
2. C101×#3192C2semidirect
3. C101×#3188C2semidirect
4. C101×#2656C2semidirect
5. C101×#1618C2semidirect
6. C101×#1613C2semidirect
7. C101×#1600C2semidirect
8. C101×#1595C2semidirect
9. C101×#1504C2semidirect
10. C2×#327×C101C2semidirect
11. C101×#1471C2semidirect
28. C2×#121×C101C22semidirect
29. #484×C101C22semidirect
32. #481×C101C22semidirect
33. #481×C101C22semidirect
37. #450×C101C22semidirect
40. #447×C101C22semidirect
41. #447×C101C22semidirect
42. #407×C101C22semidirect
43. C2×C22⋊C8×C101C22semidirect
45. #399×C101C22semidirect
47. #392×C101C22semidirect
48. C2×#95×C101C22semidirect
49. #328×C101C22semidirect
50. #327×C101C22semidirect
51. #327×C101C22semidirect
52. #327×C101C22semidirect
53. #323×C101C22semidirect
54. #323×C101C22semidirect
55. C2×#41×C101D4semidirect
64. C22×D4×C101D4semidirect
84. C22⋊Q8×C101D4semidirect
105. #121×C101D4semidirect
106. #121×C101D4semidirect
123. #117×C101D4semidirect
126. C2×C4⋊C4×C101D4semidirect
371. #18418C101direct (N × H)
383. #3537C2×C101semidirect
384. #3192C2×C101semidirect
385. #3188C2×C101semidirect
386. #2656C2×C101semidirect
387. #1618C2×C101semidirect
388. #1613C2×C101semidirect
389. #1600C2×C101semidirect
390. #1595C2×C101semidirect
391. #1504C2×C101semidirect
392. C2×#327C2×C101semidirect
393. #1471C2×C101semidirect
394. C101#18418direct (N × H)
411. C2×#121C22×C101semidirect
412. #484C22×C101semidirect
415. #481C22×C101semidirect
416. #481C22×C101semidirect
420. #450C22×C101semidirect
423. #447C22×C101semidirect
424. #447C22×C101semidirect
425. #407C22×C101semidirect
426. C2×C22⋊C8C22×C101semidirect
428. #399C22×C101semidirect
430. #392C22×C101semidirect
431. C2×#95C22×C101semidirect
432. #328C22×C101semidirect
433. #327C22×C101semidirect
434. #327C22×C101semidirect
435. #327C22×C101semidirect
436. #323C22×C101semidirect
437. #323C22×C101semidirect
438. C2×#41D4×C101semidirect
447. C22×D4D4×C101semidirect
467. C22⋊Q8D4×C101semidirect
488. #121D4×C101semidirect
489. #121D4×C101semidirect
506. #117D4×C101semidirect
509. C2×C4⋊C4D4×C101semidirect

Maximal subgroups

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

subgroupindex
C101×#35372
C101×#31922
C101×#31882
C101×#26562
C101×#16182
C101×#16132
C101×#16002
C101×#15952
C101×#15042
C2×#327×C1012
C101×#14712
#18418101