Finite Group Databasebeta

← C103×#24056 #39929331

Subgroups — C103×#24056 #39929331

Order 26368.

1820 conjugacy classes of subgroups.

The subgroup lattice has 796 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C103×#3484C211yesmaximal, characteristic
2C103×#2849C212yesmaximal, complemented
3C2×#386×C103C211yesmaximal, characteristic, complemented
4C103×#2044C214yesmaximal, complemented
5C103×#1898C212yesmaximal, complemented
6C103×#1867C212yesmaximal, complemented
7C103×#1790C212yesmaximal, complemented
8C103×#1781C211yesmaximal, characteristic, complemented
9C2×H(5,𝔽2)×C103C2211yescharacteristic
10C23×D4×C103C2211yescharacteristic
11C24×C4×C103C2211yescharacteristic, complemented
12#546×C103—22no—
13#546×C103—22no—
14D42×C103—22no—
15D42×C103—22no—
16#535×C103—21no—
17#534×C103—21no—
18#534×C103C2212yes—
19#525×C103—21no—
20C2×#123×C103—22no—
21C2×#120×C103—21no—
22C2×#120×C103C2212yes—
23#518×C103C2211yescharacteristic
24C22×C22⋊C4×C103—21no—
25C22×C22⋊C4×C103C2211yescharacteristic, complemented
26C2×#99×C103C2212yes—
27C2×#99×C103C2212yescomplemented
28C2×#99×C103C2214yescomplemented
29#386×C103—21no—
30#386×C103—21no—
31#386×C103—22no—
32#386×C103C2212yes—
33#386×C103C2212yescomplemented
34#386×C103C2214yescomplemented
35#385×C103—22no—
36#385×C103C2214yescomplemented
37#381×C103—22no—
38#379×C103C2212yescomplemented
39C2×#95×C103—21no—
40#342×C103C2214yescomplemented
41C25×C103D411yescharacteristic
42C25×C103C2311yescharacteristic
43H(5,𝔽2)×C103—24no—
44H(5,𝔽2)×C103—42no—
45C2×#41×C103—21no—
46C2×#41×C103—22no—
47C22×D4×C103—21no—
48C22×D4×C103—22no—
49C22×D4×C103—22no—
50C22×D4×C103—22no—
51C22×D4×C103—21no—
52C22×D4×C103—21no—
53C22×D4×C103—24no—
54C22×D4×C103—42no—
55C22×D4×C103D411yescharacteristic
56C22×D4×C103D411yescharacteristic
57C22×D4×C103D412yes—
58C22×D4×C103D412yes—
59C22×D4×C103C2312yes—
60C22×D4×C103C2311yescharacteristic
61C22×D4×C103C2311yescharacteristic
62C23×C4×C103—21no—
63C23×C4×C103—22no—
64C23×C4×C103—21no—
65C23×C4×C103—22no—
66C23×C4×C103—21no—
67C23×C4×C103—44no—
68C23×C4×C103D411yescharacteristic
69C23×C4×C103C2312yes—
70#127×C103—22no—
71#124×C103—22no—
72#123×C103—22no—
73#123×C103—22no—
74#123×C103—22no—
75#123×C103—48no—
76C22⋊Q8×C103—21no—
77C22⋊Q8×C103—21no—
78#121×C103—21no—
79#121×C103—21no—
80#121×C103—22no—
81#121×C103—22no—
82#121×C103—22no—
83#121×C103—22no—
84#121×C103—22no—
85#121×C103—22no—
86#120×C103—22no—
87#120×C103—22no—
88#120×C103—22no—
89#120×C103—22no—
90#120×C103—22no—
91#120×C103—22no—
92#120×C103—22no—
93#120×C103—22no—
94#120×C103—22no—
95C4×D4×C103—22no—
96C4×D4×C103—22no—
97C4×D4×C103—22no—
98C4×D4×C103—22no—
99#117×C103—21no—
100C2×C4⋊C4×C103—24no—
101C2×C22⋊C4×C103—21no—
102C2×C22⋊C4×C103—21no—
103C2×C22⋊C4×C103—21no—
104C2×C22⋊C4×C103—22no—
105C2×C22⋊C4×C103—22no—
106C2×C22⋊C4×C103—21no—
107C2×C22⋊C4×C103—22no—
108C2×C22⋊C4×C103—22no—
109C2×C22⋊C4×C103—24no—
110C2×C22⋊C4×C103—42no—
111C2×C22⋊C4×C103—44no—
112C2×C22⋊C4×C103D412yes—
113C2×C22⋊C4×C103D412yes—
114C2×C22⋊C4×C103C2312yes—
115C2×C22⋊C4×C103C2314yes—
116C2×C22⋊C4×C103C2312yes—
117#99×C103—24no—
118#99×C103—42no—
119#99×C103—44no—
120#95×C103—22no—
121#95×C103—22no—
122#95×C103—24no—
123#95×C103—24no—
124C24×C103—22no—
125C24×C103—22no—
126C24×C103—21no—
127C24×C103—22no—
128C24×C103—21no—
129C24×C103—21no—
130C24×C103—42no—
131C24×C103—42no—
132C24×C103—41no—
133C24×C103—42no—
134C24×C103—42no—
135C24×C103C2×D411yescharacteristic
136C24×C103C2×D412yes—
137C24×C103C2×D412yes—
138C24×C103C2×D411yescharacteristic
139C24×C103C2×D412yes—
140C24×C103C2×D411yescharacteristic
141C24×C103C2×D411yescharacteristic
142C24×C103C2411yescharacteristic
143#41×C103—48no—
144#41×C103—42no—
145#41×C103—42no—
146C2×Q8×C103—21no—
147C2×D4×C103—22no—
148C2×D4×C103—22no—
149C2×D4×C103—22no—
150C2×D4×C103—21no—
151C2×D4×C103—22no—
152C2×D4×C103—22no—
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—22no—
160C2×D4×C103—24no—
161C2×D4×C103—22no—
162C2×D4×C103—24no—
163C2×D4×C103—22no—
164C2×D4×C103—22no—
165C2×D4×C103—22no—
166C2×D4×C103—22no—
167C2×D4×C103—22no—
168C2×D4×C103—41no—
169C2×D4×C103—41no—
170C2×D4×C103—48no—
171C2×D4×C103—48no—
172C2×D4×C103—48no—
173C2×D4×C103—42no—
174C2×D4×C103—42no—
175C2×D4×C103—44no—
176C2×D4×C103—44no—
177C2×D4×C103—82no—
178C2×D4×C103—82no—
179C2×D4×C103#4114yes—
180C22×C4×C103—21no—
181C22×C4×C103—24no—
182C22×C4×C103—22no—
183C22×C4×C103—28no—
184C22×C4×C103—21no—
185C22×C4×C103—21no—
186C22×C4×C103—22no—
187C22×C4×C103—24no—
188C22×C4×C103—21no—
189C22×C4×C103—21no—
190C22×C4×C103—22no—
191C22×C4×C103—24no—
192C22×C4×C103—22no—
193C22×C4×C103—44no—
194C22×C4×C103—41no—
195C22×C4×C103—44no—
196C22×C4×C103—48no—
197C22×C4×C103—42no—
198C22×C4×C103—44no—
199C22×C4×C103—42no—
200C22×C4×C103—41no—
201C22×C4×C103—41no—
202C22×C4×C103—42no—
203C22×C4×C103—42no—
204C22×C4×C103—42no—
205C22×C4×C103C2×D412yes—
206C22×C4×C103C2×D411yescharacteristic
207C22×C4×C103C2×D411yescharacteristic
208C22×C4×C103C2×D412yes—
209C22×C4×C103C2×D412yes—
210C4⋊C4×C103—21no—
211C4⋊C4×C103—21no—
212C4⋊C4×C103—22no—
213C4⋊C4×C103—22no—
214C4⋊C4×C103—48no—
215C22⋊C4×C103—22no—
216C22⋊C4×C103—22no—
217C22⋊C4×C103—22no—
218C22⋊C4×C103—22no—
219C22⋊C4×C103—22no—
220C22⋊C4×C103—22no—
221C22⋊C4×C103—22no—
222C22⋊C4×C103—22no—
223C22⋊C4×C103—22no—
224C22⋊C4×C103—22no—
225C22⋊C4×C103—22no—
226C22⋊C4×C103—24no—
227C22⋊C4×C103—24no—
228C22⋊C4×C103—24no—
229C22⋊C4×C103—44no—
230C22⋊C4×C103—44no—
231C22⋊C4×C103—48no—
232C22⋊C4×C103—44no—
233C22⋊C4×C103—42no—
234C22⋊C4×C103—44no—
235C42×C103—22no—
236C23×C103—21no—
237C23×C103—21no—
238C23×C103—22no—
239C23×C103—22no—
240C23×C103—21no—
241C23×C103—21no—
242C23×C103—21no—
243C23×C103—24no—
244C23×C103—24no—
245C23×C103—24no—
246C23×C103—24no—
247C23×C103—21no—
248C23×C103—21no—
249C23×C103—22no—
250C23×C103—21no—
251C23×C103—21no—
252C23×C103—24no—
253C23×C103—42no—
254C23×C103—41no—
255C23×C103—41no—
256C23×C103—42no—
257C23×C103—41no—
258C23×C103—41no—
259C23×C103—42no—
260C23×C103—42no—
261C23×C103—48no—
262C23×C103—48no—
263C23×C103—41no—
264C23×C103—41no—
265C23×C103—41no—
266C23×C103—41no—
267C23×C103—48no—
268C23×C103—42no—
269C23×C103—42no—
270C23×C103—42no—
271C23×C103—42no—
272C23×C103—42no—
273C23×C103—81no—
274C23×C103—81no—
275C23×C103—84no—
276C23×C103—81no—
277C23×C103—81no—
278C23×C103#12012yes—
279C23×C103#12011yescharacteristic
280C23×C103#12011yescharacteristic
281C23×C103#12312yescomplemented
282C23×C103C22×D411yescharacteristic
283C23×C103C22×D412yes—
284C23×C103C2×#4112yes—
285C23×C103H(5,𝔽2)12yes—
286Q8×C103—42no—
287D4×C103—28no—
288D4×C103—44no—
289D4×C103—42no—
290D4×C103—44no—
291D4×C103—44no—
292D4×C103—42no—
293D4×C103—42no—
294D4×C103—44no—
295D4×C103—44no—
296D4×C103—44no—
297D4×C103—44no—
298D4×C103—82no—
299D4×C103—82no—
300D4×C103—82no—
301D4×C103—82no—
302C2×C4×C103—21no—
303C2×C4×C103—21no—
304C2×C4×C103—24no—
305C2×C4×C103—28no—
306C2×C4×C103—22no—
307C2×C4×C103—22no—
308C2×C4×C103—22no—
309C2×C4×C103—21no—
310C2×C4×C103—21no—
311C2×C4×C103—21no—
312C2×C4×C103—24no—
313C2×C4×C103—42no—
314C2×C4×C103—42no—
315C2×C4×C103—44no—
316C2×C4×C103—44no—
317C2×C4×C103—42no—
318C2×C4×C103—44no—
319C2×C4×C103—48no—
320C2×C4×C103—42no—
321C2×C4×C103—42no—
322C2×C4×C103—44no—
323C2×C4×C103—42no—
324C2×C4×C103—42no—
325C2×C4×C103—44no—
326C2×C4×C103—42no—
327C2×C4×C103—44no—
328C2×C4×C103—42no—
329C2×C4×C103—42no—
330C2×C4×C103—44no—
331C2×C4×C103—81no—
332C2×C4×C103—81no—
333C2×C4×C103—84no—
334C2×C4×C103#12312yescomplemented
335C22×C103—24no—
336C22×C103—24no—
337C22×C103—21no—
338C22×C103—21no—
339C22×C103—22no—
340C22×C103—21no—
341C22×C103—21no—
342C22×C103—22no—
343C22×C103—21no—
344C22×C103—21no—
345C22×C103—22no—
346C22×C103—22no—
347C22×C103—22no—
348C22×C103—22no—
349C22×C103—42no—
350C22×C103—42no—
351C22×C103—48no—
352C22×C103—48no—
353C22×C103—42no—
354C22×C103—42no—
355C22×C103—42no—
356C22×C103—42no—
357C22×C103—41no—
358C22×C103—41no—
359C22×C103—42no—
360C22×C103—41no—
361C22×C103—42no—
362C22×C103—41no—
363C22×C103—42no—
364C22×C103—41no—
365C22×C103—81no—
366C22×C103—84no—
367C22×C103—84no—
368C22×C103—84no—
369C22×C103—81no—
370C22×C103—162no—
371C22×C103B(4,𝔽2)12yes—
372C22×C103#45812yes—
373C22×C103C2×#12011yescharacteristic
374C22×C103C2×#12311yescharacteristic
375C22×C103#53411yescharacteristic
376C22×C103#54614yes—
377C4×C103—22no—
378C4×C103—41no—
379C4×C103—42no—
380C4×C103—44no—
381C4×C103—42no—
382C4×C103—42no—
383C4×C103—84no—
384C4×C103—82no—
385#24056C10311yesmaximal, characteristic, direct product factor, Sylow
386C2×C103—21no—
387C2×C103—24no—
388C2×C103—21no—
389C2×C103—22no—
390C2×C103—22no—
391C2×C103—42no—
392C2×C103—42no—
393C2×C103—81no—
394C2×C103—82no—
395C2×C103#240511yescharacteristic
396C2×C103C2×B(4,𝔽2)11yescharacteristic
397C2×C103C2×#45811yescharacteristic
398#3484C2×C10311yescharacteristic
399#2849C2×C10312yescomplemented
400C2×#386C2×C10311yescharacteristic, complemented
401#2044C2×C10314yescomplemented
402#1898C2×C10312yescomplemented
403#1867C2×C10312yescomplemented
404#1790C2×C10312yescomplemented
405#1781C2×C10311yescharacteristic, complemented
406C103#2405611yescharacteristic, direct product factor, Sylow
407C2×H(5,𝔽2)C22×C10311yescharacteristic
408C23×D4C22×C10311yescharacteristic
409C24×C4C22×C10311yescharacteristic, complemented
410#546—22no—
411#546—22no—
412D42—22no—
413D42—22no—
414#535—21no—
415#534—21no—
416#534C22×C10312yes—
417#525—21no—
418C2×#123—22no—
419C2×#120—21no—
420C2×#120C22×C10312yes—
421#518C22×C10311yescharacteristic
422C22×C22⋊C4—21no—
423C22×C22⋊C4C22×C10311yescharacteristic, complemented
424C2×#99C22×C10312yes—
425C2×#99C22×C10314yescomplemented
426C2×#99C22×C10312yescomplemented
427#386—22no—
428#386—21no—
429#386—21no—
430#386C22×C10312yes—
431#386C22×C10314yescomplemented
432#386C22×C10312yescomplemented
433#385—22no—
434#385C22×C10314yescomplemented
435#381—22no—
436#379C22×C10312yescomplemented
437C2×#95—21no—
438#342C22×C10314yescomplemented
439C25D4×C10311yescharacteristic
440C25C23×C10311yescharacteristic
441H(5,𝔽2)—24no—
442H(5,𝔽2)—42no—
443C2×#41—21no—
444C2×#41—22no—
445C22×D4—21no—
446C22×D4—22no—
447C22×D4—22no—
448C22×D4—22no—
449C22×D4—21no—
450C22×D4—21no—
451C22×D4—24no—
452C22×D4—42no—
453C22×D4D4×C10311yescharacteristic
454C22×D4D4×C10311yescharacteristic
455C22×D4D4×C10312yes—
456C22×D4D4×C10312yes—
457C22×D4C23×C10312yes—
458C22×D4C23×C10311yescharacteristic
459C22×D4C23×C10311yescharacteristic
460C23×C4—21no—
461C23×C4—22no—
462C23×C4—21no—
463C23×C4—22no—
464C23×C4—21no—
465C23×C4—44no—
466C23×C4D4×C10311yescharacteristic
467C23×C4C23×C10312yes—
468#127—22no—
469#124—22no—
470#123—22no—
471#123—22no—
472#123—22no—
473#123—48no—
474C22⋊Q8—21no—
475C22⋊Q8—21no—
476#121—21no—
477#121—21no—
478#121—22no—
479#121—22no—
480#121—22no—
481#121—22no—
482#121—22no—
483#121—22no—
484#120—22no—
485#120—22no—
486#120—22no—
487#120—22no—
488#120—22no—
489#120—22no—
490#120—22no—
491#120—22no—
492#120—22no—
493C4×D4—22no—
494C4×D4—22no—
495C4×D4—22no—
496C4×D4—22no—
497#117—21no—
498C2×C4⋊C4—24no—
499C2×C22⋊C4—21no—
500C2×C22⋊C4—21no—
501C2×C22⋊C4—21no—
502C2×C22⋊C4—22no—
503C2×C22⋊C4—22no—
504C2×C22⋊C4—21no—
505C2×C22⋊C4—22no—
506C2×C22⋊C4—24no—
507C2×C22⋊C4—22no—
508C2×C22⋊C4—42no—
509C2×C22⋊C4—44no—
510C2×C22⋊C4D4×C10312yes—
511C2×C22⋊C4D4×C10312yes—
512C2×C22⋊C4C23×C10312yes—
513C2×C22⋊C4C23×C10314yes—
514C2×C22⋊C4C23×C10312yes—
515#99—24no—
516#99—42no—
517#99—44no—
518#95—22no—
519#95—22no—
520#95—24no—
521#95—24no—
522C24—22no—
523C24—22no—
524C24—21no—
525C24—22no—
526C24—21no—
527C24—21no—
528C24—42no—
529C24—42no—
530C24—41no—
531C24—42no—
532C24—42no—
533C24C2×D4×C10311yescharacteristic
534C24C2×D4×C10312yes—
535C24C2×D4×C10312yes—
536C24C2×D4×C10311yescharacteristic
537C24C2×D4×C10312yes—
538C24C2×D4×C10311yescharacteristic
539C24C2×D4×C10311yescharacteristic
540C24C24×C10311yescharacteristic
541#41—48no—
542#41—42no—
543#41—42no—
544C2×Q8—21no—
545C2×D4—22no—
546C2×D4—22no—
547C2×D4—22no—
548C2×D4—21no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—22no—
556C2×D4—22no—
557C2×D4—22no—
558C2×D4—24no—
559C2×D4—22no—
560C2×D4—24no—
561C2×D4—22no—
562C2×D4—22no—
563C2×D4—22no—
564C2×D4—22no—
565C2×D4—22no—
566C2×D4—41no—
567C2×D4—41no—
568C2×D4—48no—
569C2×D4—48no—
570C2×D4—48no—
571C2×D4—42no—
572C2×D4—42no—
573C2×D4—44no—
574C2×D4—44no—
575C2×D4—82no—
576C2×D4—82no—
577C2×D4#41×C10314yes—
578C22×C4—21no—
579C22×C4—24no—
580C22×C4—22no—
581C22×C4—28no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—22no—
585C22×C4—24no—
586C22×C4—21no—
587C22×C4—21no—
588C22×C4—22no—
589C22×C4—24no—
590C22×C4—22no—
591C22×C4—44no—
592C22×C4—41no—
593C22×C4—44no—
594C22×C4—48no—
595C22×C4—42no—
596C22×C4—44no—
597C22×C4—42no—
598C22×C4—41no—
599C22×C4—41no—
600C22×C4—42no—
601C22×C4—42no—
602C22×C4—42no—
603C22×C4C2×D4×C10312yes—
604C22×C4C2×D4×C10311yescharacteristic
605C22×C4C2×D4×C10311yescharacteristic
606C22×C4C2×D4×C10312yes—
607C22×C4C2×D4×C10312yes—
608C4⋊C4—21no—
609C4⋊C4—21no—
610C4⋊C4—22no—
611C4⋊C4—22no—
612C4⋊C4—48no—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—22no—
620C22⋊C4—22no—
621C22⋊C4—22no—
622C22⋊C4—22no—
623C22⋊C4—22no—
624C22⋊C4—24no—
625C22⋊C4—24no—
626C22⋊C4—24no—
627C22⋊C4—44no—
628C22⋊C4—44no—
629C22⋊C4—48no—
630C22⋊C4—44no—
631C22⋊C4—42no—
632C22⋊C4—44no—
633C42—22no—
634C23—22no—
635C23—22no—
636C23—21no—
637C23—21no—
638C23—24no—
639C23—24no—
640C23—21no—
641C23—21no—
642C23—21no—
643C23—24no—
644C23—24no—
645C23—21no—
646C23—21no—
647C23—22no—
648C23—21no—
649C23—21no—
650C23—24no—
651C23—42no—
652C23—41no—
653C23—41no—
654C23—42no—
655C23—41no—
656C23—41no—
657C23—42no—
658C23—42no—
659C23—48no—
660C23—48no—
661C23—41no—
662C23—41no—
663C23—41no—
664C23—41no—
665C23—48no—
666C23—42no—
667C23—42no—
668C23—42no—
669C23—42no—
670C23—42no—
671C23—81no—
672C23—81no—
673C23—84no—
674C23—81no—
675C23—81no—
676C23#120×C10312yes—
677C23#120×C10311yescharacteristic
678C23#120×C10311yescharacteristic
679C23#123×C10312yescomplemented
680C23C22×D4×C10311yescharacteristic
681C23C22×D4×C10312yes—
682C23C2×#41×C10312yes—
683C23H(5,𝔽2)×C10312yes—
684Q8—42no—
685D4—28no—
686D4—44no—
687D4—42no—
688D4—44no—
689D4—44no—
690D4—44no—
691D4—44no—
692D4—42no—
693D4—42no—
694D4—44no—
695D4—44no—
696D4—82no—
697D4—82no—
698D4—82no—
699D4—82no—
700C2×C4—21no—
701C2×C4—21no—
702C2×C4—24no—
703C2×C4—28no—
704C2×C4—22no—
705C2×C4—22no—
706C2×C4—22no—
707C2×C4—21no—
708C2×C4—21no—
709C2×C4—21no—
710C2×C4—24no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—42no—
716C2×C4—44no—
717C2×C4—48no—
718C2×C4—42no—
719C2×C4—44no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—44no—
724C2×C4—42no—
725C2×C4—44no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—44no—
729C2×C4—81no—
730C2×C4—81no—
731C2×C4—84no—
732C2×C4#123×C10312yescomplemented
733C22—24no—
734C22—24no—
735C22—22no—
736C22—21no—
737C22—21no—
738C22—22no—
739C22—21no—
740C22—21no—
741C22—21no—
742C22—21no—
743C22—22no—
744C22—22no—
745C22—22no—
746C22—22no—
747C22—42no—
748C22—42no—
749C22—48no—
750C22—48no—
751C22—42no—
752C22—42no—
753C22—42no—
754C22—42no—
755C22—41no—
756C22—41no—
757C22—42no—
758C22—41no—
759C22—42no—
760C22—41no—
761C22—42no—
762C22—41no—
763C22—81no—
764C22—84no—
765C22—84no—
766C22—81no—
767C22—84no—
768C22—162no—
769C22B(4,𝔽2)×C10312yes—
770C22#458×C10312yes—
771C22C2×#120×C10311yescharacteristic
772C22C2×#123×C10311yescharacteristic
773C22#534×C10311yescharacteristic
774C22#546×C10314yes—
775C4—22no—
776C4—44no—
777C4—42no—
778C4—42no—
779C4—41no—
780C4—42no—
781C4—82no—
782C4—84no—
783C2—21no—
784C2—24no—
785C2—21no—
786C2—22no—
787C2—22no—
788C2—42no—
789C2—42no—
790C2—81no—
791C2—82no—
792C2C103×#240511yescharacteristic
793C2C2×B(4,𝔽2)×C10311yescharacteristic
794C2C2×#458×C10311yescharacteristic
subgroupG/H
center, socleC22×C103C2×#120
commutator, Frattini, cosocleC24C24×C103
prime radicalC103×#3484C2
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C103 ◁ C25×C103 ◁ G

Complements

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

NH ≅ G/Ntype
2. C103×#2849C2semidirect
3. C2×#386×C103C2semidirect
4. C103×#2044C2semidirect
5. C103×#1898C2semidirect
6. C103×#1867C2semidirect
7. C103×#1790C2semidirect
8. C103×#1781C2semidirect
11. C24×C4×C103C22semidirect
25. C22×C22⋊C4×C103C22semidirect
27. C2×#99×C103C22semidirect
28. C2×#99×C103C22semidirect
33. #386×C103C22semidirect
34. #386×C103C22semidirect
36. #385×C103C22semidirect
38. #379×C103C22semidirect
40. #342×C103C22semidirect
281. C23×C103#123semidirect
334. C2×C4×C103#123semidirect
385. #24056C103direct (N × H)
399. #2849C2×C103semidirect
400. C2×#386C2×C103semidirect
401. #2044C2×C103semidirect
402. #1898C2×C103semidirect
403. #1867C2×C103semidirect
404. #1790C2×C103semidirect
405. #1781C2×C103semidirect
406. C103#24056direct (N × H)
409. C24×C4C22×C103semidirect
423. C22×C22⋊C4C22×C103semidirect
425. C2×#99C22×C103semidirect
426. C2×#99C22×C103semidirect
431. #386C22×C103semidirect
432. #386C22×C103semidirect
434. #385C22×C103semidirect
436. #379C22×C103semidirect
438. #342C22×C103semidirect
679. C23#123×C103semidirect
732. C2×C4#123×C103semidirect

Maximal subgroups

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

subgroupindex
C103×#34842
C103×#28492
C2×#386×C1032
C103×#20442
C103×#18982
C103×#18672
C103×#17902
C103×#17812
#24056103