Finite Group Databasebeta

← C103×#18254 #39923529

Subgroups — C103×#18254 #39923529

Order 26368.

1508 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C103×#3537C211yesmaximal, characteristic, complemented
2C103×#3003C211yesmaximal, characteristic, complemented
3C2×#447×C103C211yesmaximal, characteristic, complemented
4C103×#2433C211yesmaximal, characteristic, complemented
5C103×#1600C214yesmaximal, complemented
6C103×#1595C214yesmaximal, complemented
7C103×#1507C211yesmaximal, characteristic, complemented
8C103×#1501C211yesmaximal, characteristic, complemented
9C103×#1471C211yesmaximal, characteristic, complemented
10C23×D4×C103C2211yescharacteristic, complemented
11C2×AGL(1,ℤ/8)×C103—21no—
12C22×D8×C103—21no—
13#560×C103—22no—
14#553×C103—21no—
15#553×C103—21no—
16D42×C103—22no—
17D42×C103—21no—
18D42×C103—21no—
19#540×C103—21no—
20#538×C103—21no—
21#538×C103C2212yescomplemented
22#535×C103—21no—
23#534×C103—21no—
24#534×C103C2212yescomplemented
25C2×#127×C103—21no—
26#525×C103C2211yescharacteristic
27C2×#121×C103C2211yescharacteristic
28C2×#121×C103C2211yescharacteristic
29C2×#120×C103—22no—
30#450×C103—21no—
31#450×C103C2212yescomplemented
32#447×C103—22no—
33#447×C103—21no—
34#447×C103C2214yescomplemented
35#447×C103C2212yescomplemented
36#418×C103—21no—
37C2×#102×C103—21no—
38#407×C103C2211yescharacteristic, complemented
39C2×C22⋊C8×C103C2211yescharacteristic, complemented
40#392×C103C2214yescomplemented
41#390×C103—21no—
42C4×C22⋊C4×C103C2211yescharacteristic, complemented
43#328×C103C2212yescomplemented
44#327×C103C2212yescomplemented
45#327×C103C2214yescomplemented
46#323×C103C2214yescomplemented
47C25×C103—21no—
48C2×#41×C103D411yescharacteristic, complemented
49C22×D4×C103—22no—
50C22×D4×C103—21no—
51C22×D4×C103—21no—
52C22×D4×C103—22no—
53C22×D4×C103—24no—
54C22×D4×C103—21no—
55C22×D4×C103—21no—
56C22×D4×C103—21no—
57C22×D4×C103—21no—
58C22×D4×C103—21no—
59C22×D4×C103—44no—
60C22×D4×C103D412yes—
61C22×D4×C103D411yescharacteristic
62C22×D4×C103D411yescharacteristic, complemented
63C22×D4×C103C2312yes—
64C23×C4×C103C2311yescharacteristic
65AGL(1,ℤ/8)×C103—44no—
66C2×SD16×C103—22no—
67C2×D8×C103—24no—
68C2×D8×C103—22no—
69C2×D8×C103—44no—
70C2×M16×C103—21no—
71C22×C8×C103—21no—
72#127×C103—22no—
73#127×C103—21no—
74#127×C103—44no—
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×C103D412yescomplemented
101#121×C103D411yescharacteristic, complemented
102#121×C103C2312yes—
103#121×C103C2311yescharacteristic
104#120×C103—22no—
105#120×C103—22no—
106#120×C103—22no—
107#120×C103—21no—
108#120×C103—22no—
109#120×C103—22no—
110#120×C103—22no—
111#120×C103—48no—
112C4×D4×C103—22no—
113C4×D4×C103—21no—
114C4×D4×C103—21no—
115C4×D4×C103—21no—
116C4×D4×C103—21no—
117C4×D4×C103—22no—
118#117×C103—21no—
119#117×C103D411yescharacteristic, complemented
120C2×C4⋊C4×C103D411yescharacteristic
121C2×C4⋊C4×C103D411yescharacteristic, complemented
122C2×C22⋊C4×C103—21no—
123C2×C22⋊C4×C103—21no—
124C2×C22⋊C4×C103—24no—
125C2×C22⋊C4×C103C2312yes—
126C2×C42×C103—21no—
127#102×C103—24no—
128#102×C103—22no—
129#102×C103—22no—
130C22⋊C8×C103—21no—
131C22⋊C8×C103—21no—
132C22⋊C8×C103C2312yes—
133C22⋊C8×C103C2312yes—
134#95×C103C2312yes—
135C24×C103—22no—
136C24×C103—22no—
137C24×C103—21no—
138C24×C103—44no—
139C24×C103—44no—
140C24×C103—41no—
141C24×C103—41no—
142C24×C103—82no—
143C24×C103C2×D411yescharacteristic
144C24×C103C2×D412yes—
145#41×C103—42no—
146C2×Q8×C103C2×D411yescharacteristic
147C2×D4×C103—24no—
148C2×D4×C103—24no—
149C2×D4×C103—24no—
150C2×D4×C103—22no—
151C2×D4×C103—21no—
152C2×D4×C103—21no—
153C2×D4×C103—22no—
154C2×D4×C103—22no—
155C2×D4×C103—22no—
156C2×D4×C103—22no—
157C2×D4×C103—22no—
158C2×D4×C103—22no—
159C2×D4×C103—21no—
160C2×D4×C103—22no—
161C2×D4×C103—22no—
162C2×D4×C103—21no—
163C2×D4×C103—21no—
164C2×D4×C103—21no—
165C2×D4×C103—22no—
166C2×D4×C103—22no—
167C2×D4×C103—42no—
168C2×D4×C103—42no—
169C2×D4×C103—42no—
170C2×D4×C103—42no—
171C2×D4×C103—42no—
172C2×D4×C103—48no—
173C2×D4×C103—44no—
174C2×D4×C103—44no—
175C2×D4×C103—44no—
176C2×D4×C103—44no—
177C2×D4×C103—48no—
178C2×D4×C103—41no—
179C2×D4×C103—41no—
180C2×D4×C103—82no—
181C2×D4×C103—84no—
182C2×D4×C103—82no—
183C2×D4×C103—84no—
184C2×D4×C103—84no—
185C2×D4×C103C2×D411yescharacteristic
186C2×D4×C103C2×D412yes—
187C22×C4×C103—22no—
188C22×C4×C103—22no—
189C22×C4×C103—22no—
190C22×C4×C103—21no—
191C22×C4×C103—21no—
192C22×C4×C103—42no—
193C22×C4×C103C2×D411yescharacteristic
194C22×C4×C103C2×D411yescharacteristic
195C22×C4×C103C2×D411yescharacteristic
196C22×C4×C103C2×D412yes—
197C22×C4×C103C2×D411yescharacteristic
198C22×C4×C103C2×D411yescharacteristic
199C22×C4×C103C2411yescharacteristic
200SD16×C103—44no—
201D8×C103—48no—
202D8×C103—44no—
203M16×C103—42no—
204C2×C8×C103—22no—
205C2×C8×C103—22no—
206C2×C8×C103—42no—
207C4⋊C4×C103—22no—
208C4⋊C4×C103—22no—
209C4⋊C4×C103—21no—
210C4⋊C4×C103—21no—
211C4⋊C4×C103—21no—
212C4⋊C4×C103—21no—
213C4⋊C4×C103—21no—
214C4⋊C4×C103C2×D412yes—
215C4⋊C4×C103C2×D411yescharacteristic
216C4⋊C4×C103C2×D411yescharacteristic
217C22⋊C4×C103—24no—
218C22⋊C4×C103—22no—
219C22⋊C4×C103—22no—
220C22⋊C4×C103—22no—
221C22⋊C4×C103—22no—
222C22⋊C4×C103—22no—
223C22⋊C4×C103—21no—
224C22⋊C4×C103—21no—
225C22⋊C4×C103—21no—
226C22⋊C4×C103—22no—
227C22⋊C4×C103—21no—
228C22⋊C4×C103—22no—
229C22⋊C4×C103—22no—
230C22⋊C4×C103—22no—
231C22⋊C4×C103—21no—
232C22⋊C4×C103—48no—
233C42×C103—22no—
234C42×C103—21no—
235C42×C103—42no—
236C23×C103—22no—
237C23×C103—22no—
238C23×C103—24no—
239C23×C103—22no—
240C23×C103—22no—
241C23×C103—21no—
242C23×C103—24no—
243C23×C103—41no—
244C23×C103—44no—
245C23×C103—44no—
246C23×C103—44no—
247C23×C103—42no—
248C23×C103—42no—
249C23×C103—42no—
250C23×C103—42no—
251C23×C103—44no—
252C23×C103—42no—
253C23×C103—81no—
254C23×C103—81no—
255C23×C103—82no—
256C23×C103—82no—
257C23×C103—82no—
258C23×C103—82no—
259C23×C103—82no—
260C23×C103—82no—
261C23×C103—816no—
262C23×C103—82no—
263C23×C103#12011yescharacteristic
264C23×C103#12011yescharacteristic
265C23×C103C22×D411yescharacteristic
266Q8×C103—41no—
267D4×C103—24no—
268D4×C103—24no—
269D4×C103—42no—
270D4×C103—41no—
271D4×C103—42no—
272D4×C103—42no—
273D4×C103—44no—
274D4×C103—44no—
275D4×C103—42no—
276D4×C103—44no—
277D4×C103—42no—
278D4×C103—44no—
279D4×C103—42no—
280D4×C103—42no—
281D4×C103—81no—
282D4×C103—82no—
283D4×C103—82no—
284D4×C103—81no—
285D4×C103—82no—
286D4×C103—82no—
287D4×C103—82no—
288D4×C103—82no—
289D4×C103—82no—
290D4×C103—816no—
291C2×C4×C103—22no—
292C2×C4×C103—22no—
293C2×C4×C103—22no—
294C2×C4×C103—24no—
295C2×C4×C103—21no—
296C2×C4×C103—22no—
297C2×C4×C103—22no—
298C2×C4×C103—21no—
299C2×C4×C103—21no—
300C2×C4×C103—41no—
301C2×C4×C103—41no—
302C2×C4×C103—41no—
303C2×C4×C103—42no—
304C2×C4×C103—42no—
305C2×C4×C103—42no—
306C2×C4×C103—42no—
307C2×C4×C103—81no—
308C2×C4×C103—82no—
309C2×C4×C103—82no—
310C2×C4×C103#12011yescharacteristic
311C2×C4×C103#12011yescharacteristic
312C2×C4×C103C22×D411yescharacteristic
313C2×C4×C103C22×D411yescharacteristic
314C8×C103—42no—
315C8×C103—42no—
316C22×C103—21no—
317C22×C103—21no—
318C22×C103—21no—
319C22×C103—21no—
320C22×C103—21no—
321C22×C103—21no—
322C22×C103—21no—
323C22×C103—44no—
324C22×C103—48no—
325C22×C103—42no—
326C22×C103—42no—
327C22×C103—41no—
328C22×C103—42no—
329C22×C103—42no—
330C22×C103—41no—
331C22×C103—41no—
332C22×C103—44no—
333C22×C103—42no—
334C22×C103—42no—
335C22×C103—84no—
336C22×C103—84no—
337C22×C103—88no—
338C22×C103—88no—
339C22×C103—82no—
340C22×C103—82no—
341C22×C103—162no—
342C22×C103—164no—
343C22×C103#45312yes—
344C22×C103C2×#12011yescharacteristic
345C22×C103#57612yes—
346C4×C103—21no—
347C4×C103—21no—
348C4×C103—21no—
349C4×C103—44no—
350C4×C103—42no—
351C4×C103—41no—
352C4×C103—42no—
353C4×C103—41no—
354C4×C103—41no—
355C4×C103B(4,𝔽2)12yes—
356#18254C10311yesmaximal, characteristic, direct product factor, Sylow
357C2×C103—22no—
358C2×C103—22no—
359C2×C103—41no—
360C2×C103—84no—
361C2×C103—82no—
362C2×C103—82no—
363C2×C103—81no—
364C2×C103#300811yescharacteristic
365C2×C103C2×#45311yescharacteristic
366C2×C103C2×B(4,𝔽2)11yescharacteristic
367#3537C2×C10311yescharacteristic, complemented
368#3003C2×C10311yescharacteristic, complemented
369C2×#447C2×C10311yescharacteristic, complemented
370#2433C2×C10311yescharacteristic, complemented
371#1600C2×C10314yescomplemented
372#1595C2×C10314yescomplemented
373#1507C2×C10311yescharacteristic, complemented
374#1501C2×C10311yescharacteristic, complemented
375#1471C2×C10311yescharacteristic, complemented
376C103#1825411yescharacteristic, direct product factor, Sylow
377C23×D4C22×C10311yescharacteristic, complemented
378C2×AGL(1,ℤ/8)—21no—
379C22×D8—21no—
380#560—22no—
381#553—21no—
382#553—21no—
383D42—22no—
384D42—21no—
385D42—21no—
386#540—21no—
387#538—21no—
388#538C22×C10312yescomplemented
389#535—21no—
390#534—21no—
391#534C22×C10312yescomplemented
392C2×#127—21no—
393#525C22×C10311yescharacteristic
394C2×#121C22×C10311yescharacteristic
395C2×#121C22×C10311yescharacteristic
396C2×#120—22no—
397#450—21no—
398#450C22×C10312yescomplemented
399#447—22no—
400#447—21no—
401#447C22×C10312yescomplemented
402#447C22×C10314yescomplemented
403#418—21no—
404C2×#102—21no—
405#407C22×C10311yescharacteristic, complemented
406C2×C22⋊C8C22×C10311yescharacteristic, complemented
407#392C22×C10314yescomplemented
408#390—21no—
409C4×C22⋊C4C22×C10311yescharacteristic, complemented
410#328C22×C10312yescomplemented
411#327C22×C10312yescomplemented
412#327C22×C10314yescomplemented
413#323C22×C10314yescomplemented
414C25—21no—
415C2×#41D4×C10311yescharacteristic, complemented
416C22×D4—22no—
417C22×D4—21no—
418C22×D4—21no—
419C22×D4—22no—
420C22×D4—24no—
421C22×D4—21no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—44no—
427C22×D4D4×C10312yes—
428C22×D4D4×C10311yescharacteristic
429C22×D4D4×C10311yescharacteristic, complemented
430C22×D4C23×C10312yes—
431C23×C4C23×C10311yescharacteristic
432AGL(1,ℤ/8)—44no—
433C2×SD16—22no—
434C2×D8—24no—
435C2×D8—22no—
436C2×D8—44no—
437C2×M16—21no—
438C22×C8—21no—
439#127—22no—
440#127—21no—
441#127—44no—
442#126—22no—
443#126—22no—
444#125—21no—
445#124—22no—
446#123—22no—
447#123—21no—
448#123—22no—
449#123—22no—
450#123—22no—
451C22⋊Q8D4×C10311yescharacteristic, complemented
452C22⋊Q8C23×C10311yescharacteristic
453#121—22no—
454#121—21no—
455#121—21no—
456#121—22no—
457#121—22no—
458#121—22no—
459#121—22no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121—21no—
465#121—21no—
466#121—22no—
467#121D4×C10312yescomplemented
468#121D4×C10311yescharacteristic, complemented
469#121C23×C10312yes—
470#121C23×C10311yescharacteristic
471#120—22no—
472#120—22no—
473#120—22no—
474#120—21no—
475#120—22no—
476#120—22no—
477#120—22no—
478#120—48no—
479C4×D4—22no—
480C4×D4—21no—
481C4×D4—21no—
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—22no—
485#117—21no—
486#117D4×C10311yescharacteristic, complemented
487C2×C4⋊C4D4×C10311yescharacteristic
488C2×C4⋊C4D4×C10311yescharacteristic, complemented
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—24no—
492C2×C22⋊C4C23×C10312yes—
493C2×C42—21no—
494#102—24no—
495#102—22no—
496#102—22no—
497C22⋊C8—21no—
498C22⋊C8—21no—
499C22⋊C8C23×C10312yes—
500C22⋊C8C23×C10312yes—
501#95C23×C10312yes—
502C24—22no—
503C24—22no—
504C24—21no—
505C24—44no—
506C24—44no—
507C24—41no—
508C24—41no—
509C24—82no—
510C24C2×D4×C10311yescharacteristic
511C24C2×D4×C10312yes—
512#41—42no—
513C2×Q8C2×D4×C10311yescharacteristic
514C2×D4—24no—
515C2×D4—24no—
516C2×D4—24no—
517C2×D4—22no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—21no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—42no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—42no—
539C2×D4—48no—
540C2×D4—44no—
541C2×D4—44no—
542C2×D4—44no—
543C2×D4—44no—
544C2×D4—48no—
545C2×D4—41no—
546C2×D4—41no—
547C2×D4—82no—
548C2×D4—84no—
549C2×D4—82no—
550C2×D4—84no—
551C2×D4—84no—
552C2×D4C2×D4×C10311yescharacteristic
553C2×D4C2×D4×C10312yes—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—42no—
560C22×C4C2×D4×C10311yescharacteristic
561C22×C4C2×D4×C10311yescharacteristic
562C22×C4C2×D4×C10311yescharacteristic
563C22×C4C2×D4×C10312yes—
564C22×C4C2×D4×C10311yescharacteristic
565C22×C4C2×D4×C10311yescharacteristic
566C22×C4C24×C10311yescharacteristic
567SD16—44no—
568D8—48no—
569D8—44no—
570M16—42no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—42no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4C2×D4×C10312yes—
582C4⋊C4C2×D4×C10311yescharacteristic
583C4⋊C4C2×D4×C10311yescharacteristic
584C22⋊C4—24no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—21no—
591C22⋊C4—21no—
592C22⋊C4—21no—
593C22⋊C4—22no—
594C22⋊C4—21no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—21no—
599C22⋊C4—48no—
600C42—22no—
601C42—21no—
602C42—42no—
603C23—22no—
604C23—22no—
605C23—24no—
606C23—22no—
607C23—22no—
608C23—21no—
609C23—24no—
610C23—41no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—44no—
619C23—42no—
620C23—81no—
621C23—81no—
622C23—82no—
623C23—82no—
624C23—82no—
625C23—82no—
626C23—82no—
627C23—82no—
628C23—816no—
629C23—82no—
630C23#120×C10311yescharacteristic
631C23#120×C10311yescharacteristic
632C23C22×D4×C10311yescharacteristic
633Q8—41no—
634D4—24no—
635D4—24no—
636D4—42no—
637D4—41no—
638D4—42no—
639D4—42no—
640D4—44no—
641D4—44no—
642D4—42no—
643D4—44no—
644D4—42no—
645D4—44no—
646D4—42no—
647D4—42no—
648D4—81no—
649D4—82no—
650D4—82no—
651D4—81no—
652D4—82no—
653D4—82no—
654D4—82no—
655D4—82no—
656D4—82no—
657D4—816no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—81no—
675C2×C4—82no—
676C2×C4—82no—
677C2×C4#120×C10311yescharacteristic
678C2×C4#120×C10311yescharacteristic
679C2×C4C22×D4×C10311yescharacteristic
680C2×C4C22×D4×C10311yescharacteristic
681C8—42no—
682C8—42no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—21no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—44no—
691C22—48no—
692C22—42no—
693C22—42no—
694C22—41no—
695C22—42no—
696C22—42no—
697C22—41no—
698C22—41no—
699C22—44no—
700C22—42no—
701C22—42no—
702C22—84no—
703C22—84no—
704C22—88no—
705C22—88no—
706C22—82no—
707C22—82no—
708C22—162no—
709C22—164no—
710C22#453×C10312yes—
711C22C2×#120×C10311yescharacteristic
712C22#576×C10312yes—
713C4—21no—
714C4—21no—
715C4—21no—
716C4—44no—
717C4—42no—
718C4—41no—
719C4—42no—
720C4—41no—
721C4—41no—
722C4B(4,𝔽2)×C10312yes—
723C2—22no—
724C2—22no—
725C2—41no—
726C2—84no—
727C2—82no—
728C2—82no—
729C2—81no—
730C2C103×#300811yescharacteristic
731C2C2×#453×C10311yescharacteristic
732C2C2×B(4,𝔽2)×C10311yescharacteristic
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×#3003C2semidirect
3. C2×#447×C103C2semidirect
4. C103×#2433C2semidirect
5. C103×#1600C2semidirect
6. C103×#1595C2semidirect
7. C103×#1507C2semidirect
8. C103×#1501C2semidirect
9. C103×#1471C2semidirect
10. C23×D4×C103C22semidirect
21. #538×C103C22semidirect
24. #534×C103C22semidirect
31. #450×C103C22semidirect
34. #447×C103C22semidirect
35. #447×C103C22semidirect
38. #407×C103C22semidirect
39. C2×C22⋊C8×C103C22semidirect
40. #392×C103C22semidirect
42. C4×C22⋊C4×C103C22semidirect
43. #328×C103C22semidirect
44. #327×C103C22semidirect
45. #327×C103C22semidirect
46. #323×C103C22semidirect
48. C2×#41×C103D4semidirect
62. C22×D4×C103D4semidirect
84. C22⋊Q8×C103D4semidirect
100. #121×C103D4semidirect
101. #121×C103D4semidirect
119. #117×C103D4semidirect
121. C2×C4⋊C4×C103D4semidirect
356. #18254C103direct (N × H)
367. #3537C2×C103semidirect
368. #3003C2×C103semidirect
369. C2×#447C2×C103semidirect
370. #2433C2×C103semidirect
371. #1600C2×C103semidirect
372. #1595C2×C103semidirect
373. #1507C2×C103semidirect
374. #1501C2×C103semidirect
375. #1471C2×C103semidirect
376. C103#18254direct (N × H)
377. C23×D4C22×C103semidirect
388. #538C22×C103semidirect
391. #534C22×C103semidirect
398. #450C22×C103semidirect
401. #447C22×C103semidirect
402. #447C22×C103semidirect
405. #407C22×C103semidirect
406. C2×C22⋊C8C22×C103semidirect
407. #392C22×C103semidirect
409. C4×C22⋊C4C22×C103semidirect
410. #328C22×C103semidirect
411. #327C22×C103semidirect
412. #327C22×C103semidirect
413. #323C22×C103semidirect
415. C2×#41D4×C103semidirect
429. C22×D4D4×C103semidirect
451. C22⋊Q8D4×C103semidirect
467. #121D4×C103semidirect
468. #121D4×C103semidirect
486. #117D4×C103semidirect
488. 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×#30032
C2×#447×C1032
C103×#24332
C103×#16002
C103×#15952
C103×#15072
C103×#15012
C103×#14712
#18254103