Finite Group Databasebeta

← C103×#18418 #39923693

Subgroups — C103×#18418 #39923693

Order 26368.

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
1C103×#3537C211yesmaximal, characteristic, complemented
2C103×#3192C211yesmaximal, characteristic, complemented
3C103×#3188C211yesmaximal, characteristic, complemented
4C103×#2656C211yesmaximal, characteristic, complemented
5C103×#1618C212yesmaximal, complemented
6C103×#1613C212yesmaximal, complemented
7C103×#1600C212yesmaximal, complemented
8C103×#1595C212yesmaximal, complemented
9C103×#1504C211yesmaximal, characteristic, complemented
10C2×#327×C103C211yesmaximal, characteristic, complemented
11C103×#1471C211yesmaximal, characteristic, complemented
12#560×C103—22no—
13#553×C103—21no—
14#553×C103—21no—
15D42×C103—22no—
16D42×C103—21no—
17D42×C103—21no—
18#540×C103—21no—
19#538×C103—21no—
20#538×C103C2212yes—
21#535×C103—21no—
22#534×C103—21no—
23#534×C103C2212yes—
24#525×C103C2211yescharacteristic
25C2×#121×C103—22no—
26C2×#121×C103C2211yescharacteristic
27C2×#121×C103C2211yescharacteristic
28C2×#121×C103C2211yescharacteristic, complemented
29#484×C103C2211yescharacteristic, complemented
30#482×C103—21no—
31#481×C103—21no—
32#481×C103C2211yescharacteristic, complemented
33#481×C103C2212yescomplemented
34#469×C103—22no—
35#466×C103—21no—
36#465×C103—21no—
37#450×C103C2211yescharacteristic, complemented
38#449×C103—21no—
39#447×C103—21no—
40#447×C103C2211yescharacteristic, complemented
41#447×C103C2212yescomplemented
42#407×C103C2211yescharacteristic, complemented
43C2×C22⋊C8×C103C2211yescharacteristic, complemented
44#399×C103—21no—
45#399×C103C2212yescomplemented
46#392×C103—21no—
47#392×C103C2212yescomplemented
48C2×#95×C103C2211yescharacteristic, complemented
49#328×C103C2212yescomplemented
50#327×C103C2212yescomplemented
51#327×C103C2212yescomplemented
52#327×C103C2212yescomplemented
53#323×C103C2212yescomplemented
54#323×C103C2212yescomplemented
55C2×#41×C103D411yescharacteristic, complemented
56C22×D4×C103—22no—
57C22×D4×C103—21no—
58C22×D4×C103—21no—
59C22×D4×C103—22no—
60C22×D4×C103—21no—
61C22×D4×C103—22no—
62C22×D4×C103D412yes—
63C22×D4×C103D411yescharacteristic
64C22×D4×C103D411yescharacteristic, complemented
65C22×D4×C103C2311yescharacteristic
66C23×C4×C103—21no—
67C23×C4×C103C2311yescharacteristic
68C2×SD16×C103—21no—
69C2×D8×C103—22no—
70C2×D8×C103—21no—
71C2×M16×C103—21no—
72C22×C8×C103—21no—
73#127×C103—22no—
74#127×C103—21no—
75#126×C103—22no—
76#126×C103—22no—
77#125×C103—21no—
78#124×C103—22no—
79#123×C103—22no—
80#123×C103—21no—
81#123×C103—22no—
82#123×C103—22no—
83#123×C103—22no—
84C22⋊Q8×C103D411yescharacteristic, complemented
85C22⋊Q8×C103C2311yescharacteristic
86#121×C103—22no—
87#121×C103—21no—
88#121×C103—21no—
89#121×C103—22no—
90#121×C103—22no—
91#121×C103—22no—
92#121×C103—22no—
93#121×C103—21no—
94#121×C103—21no—
95#121×C103—21no—
96#121×C103—21no—
97#121×C103—21no—
98#121×C103—21no—
99#121×C103—22no—
100#121×C103—21no—
101#121×C103—21no—
102#121×C103—21no—
103#121×C103—21no—
104#121×C103—48no—
105#121×C103D411yescharacteristic, complemented
106#121×C103D412yescomplemented
107#121×C103C2312yes—
108#121×C103C2311yescharacteristic
109#120×C103—22no—
110#120×C103—22no—
111#120×C103—22no—
112#120×C103—21no—
113#120×C103—22no—
114#120×C103—22no—
115#120×C103—22no—
116C4×D4×C103—22no—
117C4×D4×C103—21no—
118C4×D4×C103—21no—
119C4×D4×C103—21no—
120C4×D4×C103—21no—
121C4×D4×C103—22no—
122#117×C103—21no—
123#117×C103D411yescharacteristic, complemented
124C2×C4⋊C4×C103—22no—
125C2×C4⋊C4×C103D411yescharacteristic
126C2×C4⋊C4×C103D411yescharacteristic, complemented
127C2×C4⋊C4×C103C2311yescharacteristic
128C2×C22⋊C4×C103—21no—
129C2×C22⋊C4×C103—22no—
130C2×C22⋊C4×C103—21no—
131C2×C22⋊C4×C103—22no—
132C2×C22⋊C4×C103C2312yes—
133#107×C103—21no—
134#106×C103—21no—
135#106×C103—22no—
136#103×C103—21no—
137#102×C103—22no—
138#102×C103—21no—
139#102×C103—21no—
140#102×C103—22no—
141#102×C103—21no—
142C22⋊C8×C103—21no—
143C22⋊C8×C103—21no—
144C22⋊C8×C103C2311yescharacteristic
145C22⋊C8×C103C2311yescharacteristic
146C22⋊C8×C103C2312yes—
147#95×C103—21no—
148#95×C103C2312yes—
149C24×C103—22no—
150C24×C103—21no—
151C24×C103—21no—
152C24×C103C2×D411yescharacteristic
153C24×C103C2×D412yes—
154#41×C103—81no—
155C2×Q8×C103C2×D411yescharacteristic
156C2×D4×C103—22no—
157C2×D4×C103—21no—
158C2×D4×C103—21no—
159C2×D4×C103—22no—
160C2×D4×C103—22no—
161C2×D4×C103—22no—
162C2×D4×C103—22no—
163C2×D4×C103—22no—
164C2×D4×C103—22no—
165C2×D4×C103—21no—
166C2×D4×C103—22no—
167C2×D4×C103—22no—
168C2×D4×C103—21no—
169C2×D4×C103—21no—
170C2×D4×C103—21no—
171C2×D4×C103—21no—
172C2×D4×C103—21no—
173C2×D4×C103—44no—
174C2×D4×C103—44no—
175C2×D4×C103—44no—
176C2×D4×C103—41no—
177C2×D4×C103—41no—
178C2×D4×C103—81no—
179C2×D4×C103—81no—
180C2×D4×C103—82no—
181C2×D4×C103—81no—
182C2×D4×C103—82no—
183C2×D4×C103—82no—
184C2×D4×C103—81no—
185C2×D4×C103—81no—
186C2×D4×C103—82no—
187C2×D4×C103—82no—
188C2×D4×C103—84no—
189C2×D4×C103C2×D411yescharacteristic
190C2×D4×C103C2×D412yes—
191C22×C4×C103—22no—
192C22×C4×C103—22no—
193C22×C4×C103—22no—
194C22×C4×C103—24no—
195C22×C4×C103—21no—
196C22×C4×C103—21no—
197C22×C4×C103—21no—
198C22×C4×C103—81no—
199C22×C4×C103—81no—
200C22×C4×C103—81no—
201C22×C4×C103C2×D412yes—
202C22×C4×C103C2×D411yescharacteristic
203C22×C4×C103C2×D411yescharacteristic
204C22×C4×C103C2×D411yescharacteristic
205C22×C4×C103C2×D411yescharacteristic
206C22×C4×C103C2×D411yescharacteristic
207C22×C4×C103C2411yescharacteristic
208SD16×C103—81no—
209D8×C103—81no—
210D8×C103—82no—
211M16×C103—81no—
212C2×C8×C103—21no—
213C2×C8×C103—22no—
214C2×C8×C103—21no—
215C2×C8×C103—81no—
216C4⋊C4×C103—22no—
217C4⋊C4×C103—22no—
218C4⋊C4×C103—21no—
219C4⋊C4×C103—21no—
220C4⋊C4×C103—21no—
221C4⋊C4×C103—21no—
222C4⋊C4×C103—21no—
223C4⋊C4×C103—21no—
224C4⋊C4×C103—21no—
225C4⋊C4×C103—44no—
226C4⋊C4×C103C2×D412yes—
227C4⋊C4×C103C2×D411yescharacteristic
228C4⋊C4×C103C2×D411yescharacteristic
229C22⋊C4×C103—22no—
230C22⋊C4×C103—22no—
231C22⋊C4×C103—22no—
232C22⋊C4×C103—22no—
233C22⋊C4×C103—22no—
234C22⋊C4×C103—21no—
235C22⋊C4×C103—21no—
236C22⋊C4×C103—21no—
237C22⋊C4×C103—22no—
238C22⋊C4×C103—21no—
239C22⋊C4×C103—22no—
240C22⋊C4×C103—22no—
241C22⋊C4×C103—22no—
242C22⋊C4×C103—21no—
243C22⋊C4×C103—44no—
244C22⋊C4×C103—44no—
245C22⋊C4×C103—41no—
246C22⋊C4×C103—41no—
247C42×C103—22no—
248C42×C103—21no—
249C23×C103—21no—
250C23×C103—21no—
251C23×C103—22no—
252C23×C103—22no—
253C23×C103—22no—
254C23×C103—21no—
255C23×C103—22no—
256C23×C103—22no—
257C23×C103—41no—
258C23×C103—42no—
259C23×C103—42no—
260C23×C103—42no—
261C23×C103—42no—
262C23×C103—42no—
263C23×C103—41no—
264C23×C103—41no—
265C23×C103—41no—
266C23×C103—81no—
267C23×C103—81no—
268C23×C103—82no—
269C23×C103—82no—
270C23×C103—82no—
271C23×C103#12011yescharacteristic
272C23×C103#12011yescharacteristic
273C23×C103C22×D411yescharacteristic
274Q8×C103—41no—
275D4×C103—42no—
276D4×C103—41no—
277D4×C103—42no—
278D4×C103—42no—
279D4×C103—42no—
280D4×C103—41no—
281D4×C103—41no—
282D4×C103—42no—
283D4×C103—41no—
284D4×C103—42no—
285D4×C103—41no—
286D4×C103—44no—
287D4×C103—42no—
288D4×C103—81no—
289D4×C103—82no—
290D4×C103—82no—
291D4×C103—81no—
292D4×C103—82no—
293D4×C103—82no—
294D4×C103—82no—
295D4×C103—82no—
296D4×C103—82no—
297D4×C103—88no—
298D4×C103—82no—
299D4×C103—82no—
300C2×C4×C103—24no—
301C2×C4×C103—21no—
302C2×C4×C103—22no—
303C2×C4×C103—22no—
304C2×C4×C103—21no—
305C2×C4×C103—21no—
306C2×C4×C103—41no—
307C2×C4×C103—41no—
308C2×C4×C103—41no—
309C2×C4×C103—41no—
310C2×C4×C103—41no—
311C2×C4×C103—41no—
312C2×C4×C103—42no—
313C2×C4×C103—42no—
314C2×C4×C103—42no—
315C2×C4×C103—42no—
316C2×C4×C103—42no—
317C2×C4×C103—41no—
318C2×C4×C103—81no—
319C2×C4×C103—84no—
320C2×C4×C103—82no—
321C2×C4×C103—82no—
322C2×C4×C103#12011yescharacteristic
323C2×C4×C103#12011yescharacteristic
324C2×C4×C103C22×D411yescharacteristic
325C2×C4×C103C22×D411yescharacteristic
326C8×C103—41no—
327C8×C103—41no—
328C8×C103—42no—
329C22×C103—21no—
330C22×C103—21no—
331C22×C103—21no—
332C22×C103—21no—
333C22×C103—21no—
334C22×C103—21no—
335C22×C103—21no—
336C22×C103—42no—
337C22×C103—42no—
338C22×C103—42no—
339C22×C103—42no—
340C22×C103—41no—
341C22×C103—42no—
342C22×C103—42no—
343C22×C103—41no—
344C22×C103—41no—
345C22×C103—42no—
346C22×C103—42no—
347C22×C103—82no—
348C22×C103—82no—
349C22×C103—82no—
350C22×C103—82no—
351C22×C103—81no—
352C22×C103—81no—
353C22×C103—81no—
354C22×C103—162no—
355C22×C103—164no—
356C22×C103#45312yes—
357C22×C103C2×#12011yescharacteristic
358C22×C103#57611yescharacteristic
359C22×C103#57711yescharacteristic
360C4×C103—21no—
361C4×C103—21no—
362C4×C103—21no—
363C4×C103—21no—
364C4×C103—44no—
365C4×C103—42no—
366C4×C103—41no—
367C4×C103—42no—
368C4×C103—41no—
369C4×C103—41no—
370C4×C103—81no—
371#18418C10311yesmaximal, characteristic, direct product factor, Sylow
372C2×C103—21no—
373C2×C103—21no—
374C2×C103—22no—
375C2×C103—41no—
376C2×C103—82no—
377C2×C103—82no—
378C2×C103—81no—
379C2×C103—161no—
380C2×C103#301211yescharacteristic
381C2×C103C2×#45311yescharacteristic
382C2×C103#302611yescharacteristic
383#3537C2×C10311yescharacteristic, complemented
384#3192C2×C10311yescharacteristic, complemented
385#3188C2×C10311yescharacteristic, complemented
386#2656C2×C10311yescharacteristic, complemented
387#1618C2×C10312yescomplemented
388#1613C2×C10312yescomplemented
389#1600C2×C10312yescomplemented
390#1595C2×C10312yescomplemented
391#1504C2×C10311yescharacteristic, complemented
392C2×#327C2×C10311yescharacteristic, complemented
393#1471C2×C10311yescharacteristic, complemented
394C103#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×C10312yes—
404#535—21no—
405#534—21no—
406#534C22×C10312yes—
407#525C22×C10311yescharacteristic
408C2×#121—22no—
409C2×#121C22×C10311yescharacteristic
410C2×#121C22×C10311yescharacteristic
411C2×#121C22×C10311yescharacteristic, complemented
412#484C22×C10311yescharacteristic, complemented
413#482—21no—
414#481—21no—
415#481C22×C10311yescharacteristic, complemented
416#481C22×C10312yescomplemented
417#469—22no—
418#466—21no—
419#465—21no—
420#450C22×C10311yescharacteristic, complemented
421#449—21no—
422#447—21no—
423#447C22×C10311yescharacteristic, complemented
424#447C22×C10312yescomplemented
425#407C22×C10311yescharacteristic, complemented
426C2×C22⋊C8C22×C10311yescharacteristic, complemented
427#399—21no—
428#399C22×C10312yescomplemented
429#392—21no—
430#392C22×C10312yescomplemented
431C2×#95C22×C10311yescharacteristic, complemented
432#328C22×C10312yescomplemented
433#327C22×C10312yescomplemented
434#327C22×C10312yescomplemented
435#327C22×C10312yescomplemented
436#323C22×C10312yescomplemented
437#323C22×C10312yescomplemented
438C2×#41D4×C10311yescharacteristic, complemented
439C22×D4—22no—
440C22×D4—21no—
441C22×D4—21no—
442C22×D4—22no—
443C22×D4—21no—
444C22×D4—22no—
445C22×D4D4×C10312yes—
446C22×D4D4×C10311yescharacteristic
447C22×D4D4×C10311yescharacteristic, complemented
448C22×D4C23×C10311yescharacteristic
449C23×C4—21no—
450C23×C4C23×C10311yescharacteristic
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×C10311yescharacteristic, complemented
468C22⋊Q8C23×C10311yescharacteristic
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×C10312yescomplemented
489#121D4×C10311yescharacteristic, complemented
490#121C23×C10312yes—
491#121C23×C10311yescharacteristic
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×C10311yescharacteristic, complemented
507C2×C4⋊C4—22no—
508C2×C4⋊C4D4×C10311yescharacteristic
509C2×C4⋊C4D4×C10311yescharacteristic, complemented
510C2×C4⋊C4C23×C10311yescharacteristic
511C2×C22⋊C4—21no—
512C2×C22⋊C4—22no—
513C2×C22⋊C4—22no—
514C2×C22⋊C4—21no—
515C2×C22⋊C4C23×C10312yes—
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×C10311yescharacteristic
528C22⋊C8C23×C10311yescharacteristic
529C22⋊C8C23×C10312yes—
530#95—21no—
531#95C23×C10312yes—
532C24—22no—
533C24—21no—
534C24—21no—
535C24C2×D4×C10311yescharacteristic
536C24C2×D4×C10312yes—
537#41—81no—
538C2×Q8C2×D4×C10311yescharacteristic
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×C10311yescharacteristic
573C2×D4C2×D4×C10312yes—
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×C10312yes—
585C22×C4C2×D4×C10311yescharacteristic
586C22×C4C2×D4×C10311yescharacteristic
587C22×C4C2×D4×C10311yescharacteristic
588C22×C4C2×D4×C10311yescharacteristic
589C22×C4C2×D4×C10311yescharacteristic
590C22×C4C24×C10311yescharacteristic
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×C10312yes—
610C4⋊C4C2×D4×C10311yescharacteristic
611C4⋊C4C2×D4×C10311yescharacteristic
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×C10311yescharacteristic
655C23#120×C10311yescharacteristic
656C23C22×D4×C10311yescharacteristic
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×C10311yescharacteristic
706C2×C4#120×C10311yescharacteristic
707C2×C4C22×D4×C10311yescharacteristic
708C2×C4C22×D4×C10311yescharacteristic
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×C10312yes—
740C22C2×#120×C10311yescharacteristic
741C22#576×C10311yescharacteristic
742C22#577×C10311yescharacteristic
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—
762C2C103×#301211yescharacteristic
763C2C2×#453×C10311yescharacteristic
764C2C103×#302611yescharacteristic
subgroupG/H
center, socleC22×C103C2×#120
commutator, Frattini, cosocleC22×C4C24×C103
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C103 ◁ C23×C4×C103 ◁ G

Complements

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

NH ≅ G/Ntype
1. C103×#3537C2semidirect
2. C103×#3192C2semidirect
3. C103×#3188C2semidirect
4. C103×#2656C2semidirect
5. C103×#1618C2semidirect
6. C103×#1613C2semidirect
7. C103×#1600C2semidirect
8. C103×#1595C2semidirect
9. C103×#1504C2semidirect
10. C2×#327×C103C2semidirect
11. C103×#1471C2semidirect
28. C2×#121×C103C22semidirect
29. #484×C103C22semidirect
32. #481×C103C22semidirect
33. #481×C103C22semidirect
37. #450×C103C22semidirect
40. #447×C103C22semidirect
41. #447×C103C22semidirect
42. #407×C103C22semidirect
43. C2×C22⋊C8×C103C22semidirect
45. #399×C103C22semidirect
47. #392×C103C22semidirect
48. C2×#95×C103C22semidirect
49. #328×C103C22semidirect
50. #327×C103C22semidirect
51. #327×C103C22semidirect
52. #327×C103C22semidirect
53. #323×C103C22semidirect
54. #323×C103C22semidirect
55. C2×#41×C103D4semidirect
64. C22×D4×C103D4semidirect
84. C22⋊Q8×C103D4semidirect
105. #121×C103D4semidirect
106. #121×C103D4semidirect
123. #117×C103D4semidirect
126. C2×C4⋊C4×C103D4semidirect
371. #18418C103direct (N × H)
383. #3537C2×C103semidirect
384. #3192C2×C103semidirect
385. #3188C2×C103semidirect
386. #2656C2×C103semidirect
387. #1618C2×C103semidirect
388. #1613C2×C103semidirect
389. #1600C2×C103semidirect
390. #1595C2×C103semidirect
391. #1504C2×C103semidirect
392. C2×#327C2×C103semidirect
393. #1471C2×C103semidirect
394. C103#18418direct (N × H)
411. C2×#121C22×C103semidirect
412. #484C22×C103semidirect
415. #481C22×C103semidirect
416. #481C22×C103semidirect
420. #450C22×C103semidirect
423. #447C22×C103semidirect
424. #447C22×C103semidirect
425. #407C22×C103semidirect
426. C2×C22⋊C8C22×C103semidirect
428. #399C22×C103semidirect
430. #392C22×C103semidirect
431. C2×#95C22×C103semidirect
432. #328C22×C103semidirect
433. #327C22×C103semidirect
434. #327C22×C103semidirect
435. #327C22×C103semidirect
436. #323C22×C103semidirect
437. #323C22×C103semidirect
438. C2×#41D4×C103semidirect
447. C22×D4D4×C103semidirect
467. C22⋊Q8D4×C103semidirect
488. #121D4×C103semidirect
489. #121D4×C103semidirect
506. #117D4×C103semidirect
509. C2×C4⋊C4D4×C103semidirect

Maximal subgroups

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

subgroupindex
C103×#35372
C103×#31922
C103×#31882
C103×#26562
C103×#16182
C103×#16132
C103×#16002
C103×#15952
C103×#15042
C2×#327×C1032
C103×#14712
#18418103