Finite Group Databasebeta

← C103×#20024 #39925299

Subgroups — C103×#20024 #39925299

Order 26368.

768 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C103×#3366C211yesmaximal, characteristic, complemented
2C103×#3295C211yesmaximal, characteristic, complemented
3D4×D8×C103C211yesmaximal, characteristic, complemented
4C103×#3274C211yesmaximal, characteristic, complemented
5C103×#1721C211yesmaximal, characteristic, complemented
6C103×#1697C211yesmaximal, characteristic, complemented
7C103×#1688C211yesmaximal, characteristic, complemented
8C103×#1677C211yesmaximal, characteristic, complemented
9C103×#1667C211yesmaximal, characteristic, complemented
10C103×#1629C211yesmaximal, characteristic, complemented
11C103×#1622C211yesmaximal, characteristic, complemented
12C103×#1621C211yesmaximal, characteristic, complemented
13C103×#1619C211yesmaximal, characteristic, complemented
14C103×#1586C211yesmaximal, characteristic, complemented
15C103×#1585C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C103—21no—
17C22×D8×C103—21no—
18#554×C103C2211yescharacteristic, complemented
19#550×C103C2211yescharacteristic, complemented
20D42×C103C2211yescharacteristic
21D42×C103C2211yescharacteristic
22#493×C103C2211yescharacteristic
23#493×C103C2211yescharacteristic, complemented
24#493×C103C2211yescharacteristic, complemented
25#492×C103C2211yescharacteristic, complemented
26#490×C103—21no—
27#486×C103C2211yescharacteristic, complemented
28#486×C103C2211yescharacteristic, complemented
29#481×C103—21no—
30#478×C103—21no—
31#476×C103C2211yescharacteristic
32#476×C103C2211yescharacteristic, complemented
33#469×C103—21no—
34#466×C103—21no—
35#465×C103—21no—
36#460×C103C2211yescharacteristic, complemented
37#460×C103C2211yescharacteristic, complemented
38#459×C103—21no—
39#459×C103C2211yescharacteristic
40#459×C103C2211yescharacteristic
41#459×C103C2211yescharacteristic
42#459×C103C2211yescharacteristic, complemented
43#450×C103—21no—
44#449×C103—21no—
45#447×C103—21no—
46#447×C103—21no—
47#447×C103—21no—
48#446×C103C2211yescharacteristic, complemented
49#442×C103—21no—
50C4×SD16×C103C2211yescharacteristic
51C4×D8×C103C2211yescharacteristic
52#436×C103C2211yescharacteristic, complemented
53C8×D4×C103C2211yescharacteristic
54C8×D4×C103C2211yescharacteristic, complemented
55C2×#102×C103—21no—
56#335×C103C2211yescharacteristic, complemented
57#334×C103C2211yescharacteristic, complemented
58#333×C103C2211yescharacteristic, complemented
59#331×C103C2211yescharacteristic, complemented
60#331×C103C2211yescharacteristic, complemented
61#331×C103C2211yescharacteristic, complemented
62Q8⋊C8×C103C2211yescharacteristic, complemented
63D4⋊C8×C103C2211yescharacteristic
64D4⋊C8×C103C2211yescharacteristic, complemented
65D4⋊C8×C103C2211yescharacteristic, complemented
66#322×C103C2211yescharacteristic, complemented
67C2×#41×C103—21no—
68C22×D4×C103—21no—
69C22×D4×C103—21no—
70C22×D4×C103—21no—
71C22×D4×C103—21no—
72AGL(1,ℤ/8)×C103—44no—
73C2×SD16×C103—21no—
74C2×SD16×C103—21no—
75C2×SD16×C103—41no—
76C2×SD16×C103D411yescharacteristic
77C2×D8×C103—21no—
78C2×D8×C103—21no—
79C2×D8×C103—21no—
80C2×D8×C103—21no—
81C2×D8×C103—21no—
82C2×D8×C103—21no—
83C2×D8×C103—21no—
84C2×D8×C103—21no—
85C2×D8×C103—41no—
86C2×D8×C103—44no—
87C2×D8×C103D411yescharacteristic
88C2×M16×C103—21no—
89C22×C8×C103—21no—
90C22×C8×C103—21no—
91C4⋊Q8×C103C2311yescharacteristic
92#127×C103—21no—
93#127×C103C2311yescharacteristic
94#127×C103C2311yescharacteristic
95#127×C103C2311yescharacteristic
96#125×C103—21no—
97C22⋊Q8×C103—21no—
98C22⋊Q8×C103—41no—
99#121×C103—21no—
100#121×C103—21no—
101#121×C103—21no—
102#121×C103—21no—
103#121×C103—21no—
104#121×C103—41no—
105#120×C103—41no—
106#120×C103—41no—
107C4×Q8×C103C2311yescharacteristic
108C4×D4×C103—21no—
109C4×D4×C103—21no—
110C4×D4×C103C2311yescharacteristic
111C4×D4×C103C2311yescharacteristic
112C4×D4×C103C2311yescharacteristic
113C2×C4⋊C4×C103—21no—
114#107×C103D411yescharacteristic
115#106×C103—21no—
116#106×C103—21no—
117#106×C103D411yescharacteristic
118C4⋊C8×C103—21no—
119C4⋊C8×C103C2311yescharacteristic
120C4⋊C8×C103C2311yescharacteristic
121C4⋊C8×C103C2311yescharacteristic
122C4⋊C8×C103C2311yescharacteristic
123#103×C103D411yescharacteristic
124#102×C103—21no—
125#102×C103—21no—
126#102×C103—21no—
127#102×C103—21no—
128#102×C103—21no—
129#102×C103—21no—
130#102×C103—21no—
131#102×C103—21no—
132#102×C103—21no—
133#102×C103—21no—
134#102×C103—21no—
135#102×C103—21no—
136#102×C103D411yescharacteristic
137#102×C103D411yescharacteristic
138#102×C103D411yescharacteristic
139C22⋊C8×C103—21no—
140C22⋊C8×C103—21no—
141C22⋊C8×C103—21no—
142#97×C103—21no—
143C4×C8×C103C2311yescharacteristic
144C4×C8×C103C2311yescharacteristic
145C4×C8×C103C2311yescharacteristic
146C24×C103—41no—
147C24×C103—41no—
148#41×C103—42no—
149#41×C103—81no—
150C2×Q8×C103—21no—
151C2×Q8×C103C2×D411yescharacteristic
152C2×D4×C103—21no—
153C2×D4×C103—21no—
154C2×D4×C103—21no—
155C2×D4×C103—21no—
156C2×D4×C103—21no—
157C2×D4×C103—21no—
158C2×D4×C103—21no—
159C2×D4×C103—21no—
160C2×D4×C103—21no—
161C2×D4×C103—41no—
162C2×D4×C103—41no—
163C2×D4×C103—41no—
164C2×D4×C103—41no—
165C2×D4×C103—41no—
166C2×D4×C103—41no—
167C2×D4×C103—42no—
168C2×D4×C103—42no—
169C2×D4×C103—42no—
170C2×D4×C103—42no—
171C2×D4×C103—81no—
172C2×D4×C103—81no—
173C2×D4×C103—81no—
174C2×D4×C103—81no—
175C2×D4×C103C2×D411yescharacteristic
176C2×D4×C103C2×D411yescharacteristic
177C2×D4×C103C2×D411yescharacteristic
178C22×C4×C103—21no—
179C22×C4×C103—21no—
180C22×C4×C103—21no—
181C22×C4×C103—41no—
182C22×C4×C103—41no—
183SD16×C103—22no—
184SD16×C103—42no—
185SD16×C103—82no—
186SD16×C103—81no—
187D8×C103—22no—
188D8×C103—42no—
189D8×C103—42no—
190D8×C103—42no—
191D8×C103—42no—
192D8×C103—42no—
193D8×C103—42no—
194D8×C103—81no—
195D8×C103—81no—
196D8×C103—82no—
197M16×C103—42no—
198C2×C8×C103—21no—
199C2×C8×C103—21no—
200C2×C8×C103—21no—
201C2×C8×C103—21no—
202C2×C8×C103—21no—
203C2×C8×C103—42no—
204C2×C8×C103—81no—
205C2×C8×C103C2×D411yescharacteristic
206C2×C8×C103C2×D411yescharacteristic
207C2×C8×C103C2×D411yescharacteristic
208C2×C8×C103C2×D411yescharacteristic
209C4⋊C4×C103—21no—
210C4⋊C4×C103—21no—
211C4⋊C4×C103—21no—
212C4⋊C4×C103—41no—
213C4⋊C4×C103—41no—
214C4⋊C4×C103C2×D411yescharacteristic
215C4⋊C4×C103C2×D411yescharacteristic
216C4⋊C4×C103C2×D411yescharacteristic
217C4⋊C4×C103C2×D411yescharacteristic
218C22⋊C4×C103—21no—
219C22⋊C4×C103—21no—
220C22⋊C4×C103—21no—
221C22⋊C4×C103—41no—
222C22⋊C4×C103—41no—
223C22⋊C4×C103—41no—
224C22⋊C4×C103—41no—
225C42×C103—21no—
226C42×C103C2411yescharacteristic
227C23×C103—21no—
228C23×C103—21no—
229C23×C103—21no—
230C23×C103—41no—
231C23×C103—41no—
232C23×C103—41no—
233C23×C103—82no—
234C23×C103—82no—
235C23×C103—82no—
236C23×C103—82no—
237C23×C103—161no—
238C23×C103—161no—
239Q8×C103—21no—
240Q8×C103—21no—
241Q8×C103—81no—
242D4×C103—21no—
243D4×C103—21no—
244D4×C103—21no—
245D4×C103—21no—
246D4×C103—41no—
247D4×C103—41no—
248D4×C103—41no—
249D4×C103—41no—
250D4×C103—41no—
251D4×C103—41no—
252D4×C103—41no—
253D4×C103—41no—
254D4×C103—41no—
255D4×C103—41no—
256D4×C103—41no—
257D4×C103—41no—
258D4×C103—81no—
259D4×C103—81no—
260D4×C103—81no—
261D4×C103—82no—
262D4×C103—82no—
263D4×C103—82no—
264D4×C103—82no—
265D4×C103—82no—
266D4×C103—161no—
267D4×C103AGL(1,ℤ/8)12yes—
268D4×C103AGL(1,ℤ/8)12yescomplemented
269C2×C4×C103—21no—
270C2×C4×C103—21no—
271C2×C4×C103—21no—
272C2×C4×C103—21no—
273C2×C4×C103—21no—
274C2×C4×C103—41no—
275C2×C4×C103—41no—
276C2×C4×C103—41no—
277C2×C4×C103—41no—
278C2×C4×C103—41no—
279C2×C4×C103—41no—
280C2×C4×C103—41no—
281C2×C4×C103—82no—
282C2×C4×C103—161no—
283C2×C4×C103C22×D411yescharacteristic
284C2×C4×C103C22×D411yescharacteristic
285C2×C4×C103H(5,𝔽2)11yescharacteristic
286C8×C103—22no—
287C8×C103—21no—
288C8×C103—21no—
289C8×C103—21no—
290C8×C103—21no—
291C8×C103—41no—
292C8×C103—41no—
293C8×C103—41no—
294C8×C103—41no—
295C22×C103—22no—
296C22×C103—22no—
297C22×C103—41no—
298C22×C103—41no—
299C22×C103—41no—
300C22×C103—41no—
301C22×C103—41no—
302C22×C103—41no—
303C22×C103—41no—
304C22×C103—81no—
305C22×C103—81no—
306C22×C103—81no—
307C22×C103—81no—
308C22×C103—81no—
309C22×C103—81no—
310C22×C103—81no—
311C22×C103—81no—
312C22×C103—81no—
313C22×C103—164no—
314C22×C103—164no—
315C22×C103D4211yescharacteristic
316C4×C103—21no—
317C4×C103—41no—
318C4×C103—41no—
319C4×C103—41no—
320C4×C103—41no—
321C4×C103—41no—
322C4×C103—81no—
323C4×C103C2×AGL(1,ℤ/8)11yescharacteristic
324C4×C103C2×AGL(1,ℤ/8)11yescharacteristic
325C4×C103#57611yescharacteristic
326C4×C103#57711yescharacteristic
327#20024C10311yesmaximal, characteristic, direct product factor, Sylow
328C2×C103—42no—
329C2×C103—42no—
330C2×C103—81no—
331C2×C103—161no—
332C2×C103—161no—
333C2×C103—161no—
334C2×C103#326411yescharacteristic
335C2×C103#326511yescharacteristic
336C2×C103#329211yescharacteristic
337#3366C2×C10311yescharacteristic, complemented
338#3295C2×C10311yescharacteristic, complemented
339D4×D8C2×C10311yescharacteristic, complemented
340#3274C2×C10311yescharacteristic, complemented
341#1721C2×C10311yescharacteristic, complemented
342#1697C2×C10311yescharacteristic, complemented
343#1688C2×C10311yescharacteristic, complemented
344#1677C2×C10311yescharacteristic, complemented
345#1667C2×C10311yescharacteristic, complemented
346#1629C2×C10311yescharacteristic, complemented
347#1622C2×C10311yescharacteristic, complemented
348#1621C2×C10311yescharacteristic, complemented
349#1619C2×C10311yescharacteristic, complemented
350#1586C2×C10311yescharacteristic, complemented
351#1585C2×C10311yescharacteristic, complemented
352C103#2002411yescharacteristic, direct product factor, Sylow
353C2×AGL(1,ℤ/8)—21no—
354C22×D8—21no—
355#554C22×C10311yescharacteristic, complemented
356#550C22×C10311yescharacteristic, complemented
357D42C22×C10311yescharacteristic
358D42C22×C10311yescharacteristic
359#493C22×C10311yescharacteristic
360#493C22×C10311yescharacteristic, complemented
361#493C22×C10311yescharacteristic, complemented
362#492C22×C10311yescharacteristic, complemented
363#490—21no—
364#486C22×C10311yescharacteristic, complemented
365#486C22×C10311yescharacteristic, complemented
366#481—21no—
367#478—21no—
368#476C22×C10311yescharacteristic
369#476C22×C10311yescharacteristic, complemented
370#469—21no—
371#466—21no—
372#465—21no—
373#460C22×C10311yescharacteristic, complemented
374#460C22×C10311yescharacteristic, complemented
375#459—21no—
376#459C22×C10311yescharacteristic
377#459C22×C10311yescharacteristic
378#459C22×C10311yescharacteristic
379#459C22×C10311yescharacteristic, complemented
380#450—21no—
381#449—21no—
382#447—21no—
383#447—21no—
384#447—21no—
385#446C22×C10311yescharacteristic, complemented
386#442—21no—
387C4×SD16C22×C10311yescharacteristic
388C4×D8C22×C10311yescharacteristic
389#436C22×C10311yescharacteristic, complemented
390C8×D4C22×C10311yescharacteristic
391C8×D4C22×C10311yescharacteristic, complemented
392C2×#102—21no—
393#335C22×C10311yescharacteristic, complemented
394#334C22×C10311yescharacteristic, complemented
395#333C22×C10311yescharacteristic, complemented
396#331C22×C10311yescharacteristic, complemented
397#331C22×C10311yescharacteristic, complemented
398#331C22×C10311yescharacteristic, complemented
399Q8⋊C8C22×C10311yescharacteristic, complemented
400D4⋊C8C22×C10311yescharacteristic
401D4⋊C8C22×C10311yescharacteristic, complemented
402D4⋊C8C22×C10311yescharacteristic, complemented
403#322C22×C10311yescharacteristic, complemented
404C2×#41—21no—
405C22×D4—21no—
406C22×D4—21no—
407C22×D4—21no—
408C22×D4—21no—
409AGL(1,ℤ/8)—44no—
410C2×SD16—21no—
411C2×SD16—21no—
412C2×SD16—41no—
413C2×SD16D4×C10311yescharacteristic
414C2×D8—21no—
415C2×D8—21no—
416C2×D8—21no—
417C2×D8—21no—
418C2×D8—21no—
419C2×D8—21no—
420C2×D8—21no—
421C2×D8—21no—
422C2×D8—41no—
423C2×D8—44no—
424C2×D8D4×C10311yescharacteristic
425C2×M16—21no—
426C22×C8—21no—
427C22×C8—21no—
428C4⋊Q8C23×C10311yescharacteristic
429#127—21no—
430#127C23×C10311yescharacteristic
431#127C23×C10311yescharacteristic
432#127C23×C10311yescharacteristic
433#125—21no—
434C22⋊Q8—21no—
435C22⋊Q8—41no—
436#121—21no—
437#121—21no—
438#121—21no—
439#121—21no—
440#121—21no—
441#121—41no—
442#120—41no—
443#120—41no—
444C4×Q8C23×C10311yescharacteristic
445C4×D4—21no—
446C4×D4—21no—
447C4×D4C23×C10311yescharacteristic
448C4×D4C23×C10311yescharacteristic
449C4×D4C23×C10311yescharacteristic
450C2×C4⋊C4—21no—
451#107D4×C10311yescharacteristic
452#106—21no—
453#106—21no—
454#106D4×C10311yescharacteristic
455C4⋊C8—21no—
456C4⋊C8C23×C10311yescharacteristic
457C4⋊C8C23×C10311yescharacteristic
458C4⋊C8C23×C10311yescharacteristic
459C4⋊C8C23×C10311yescharacteristic
460#103D4×C10311yescharacteristic
461#102—21no—
462#102—21no—
463#102—21no—
464#102—21no—
465#102—21no—
466#102—21no—
467#102—21no—
468#102—21no—
469#102—21no—
470#102—21no—
471#102—21no—
472#102—21no—
473#102D4×C10311yescharacteristic
474#102D4×C10311yescharacteristic
475#102D4×C10311yescharacteristic
476C22⋊C8—21no—
477C22⋊C8—21no—
478C22⋊C8—21no—
479#97—21no—
480C4×C8C23×C10311yescharacteristic
481C4×C8C23×C10311yescharacteristic
482C4×C8C23×C10311yescharacteristic
483C24—41no—
484C24—41no—
485#41—42no—
486#41—81no—
487C2×Q8—21no—
488C2×Q8C2×D4×C10311yescharacteristic
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—41no—
499C2×D4—41no—
500C2×D4—41no—
501C2×D4—41no—
502C2×D4—41no—
503C2×D4—41no—
504C2×D4—42no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4—81no—
509C2×D4—81no—
510C2×D4—81no—
511C2×D4—81no—
512C2×D4C2×D4×C10311yescharacteristic
513C2×D4C2×D4×C10311yescharacteristic
514C2×D4C2×D4×C10311yescharacteristic
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—41no—
519C22×C4—41no—
520SD16—22no—
521SD16—42no—
522SD16—82no—
523SD16—81no—
524D8—22no—
525D8—42no—
526D8—42no—
527D8—42no—
528D8—42no—
529D8—42no—
530D8—42no—
531D8—81no—
532D8—81no—
533D8—82no—
534M16—42no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—42no—
541C2×C8—81no—
542C2×C8C2×D4×C10311yescharacteristic
543C2×C8C2×D4×C10311yescharacteristic
544C2×C8C2×D4×C10311yescharacteristic
545C2×C8C2×D4×C10311yescharacteristic
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—41no—
550C4⋊C4—41no—
551C4⋊C4C2×D4×C10311yescharacteristic
552C4⋊C4C2×D4×C10311yescharacteristic
553C4⋊C4C2×D4×C10311yescharacteristic
554C4⋊C4C2×D4×C10311yescharacteristic
555C22⋊C4—21no—
556C22⋊C4—21no—
557C22⋊C4—21no—
558C22⋊C4—41no—
559C22⋊C4—41no—
560C22⋊C4—41no—
561C22⋊C4—41no—
562C42—21no—
563C42C24×C10311yescharacteristic
564C23—21no—
565C23—21no—
566C23—21no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—82no—
571C23—82no—
572C23—82no—
573C23—82no—
574C23—161no—
575C23—161no—
576Q8—21no—
577Q8—21no—
578Q8—81no—
579D4—21no—
580D4—21no—
581D4—21no—
582D4—21no—
583D4—41no—
584D4—41no—
585D4—41no—
586D4—41no—
587D4—41no—
588D4—41no—
589D4—41no—
590D4—41no—
591D4—41no—
592D4—41no—
593D4—41no—
594D4—41no—
595D4—81no—
596D4—81no—
597D4—81no—
598D4—82no—
599D4—82no—
600D4—82no—
601D4—82no—
602D4—82no—
603D4—161no—
604D4AGL(1,ℤ/8)×C10312yes—
605D4AGL(1,ℤ/8)×C10312yescomplemented
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—82no—
619C2×C4—161no—
620C2×C4C22×D4×C10311yescharacteristic
621C2×C4C22×D4×C10311yescharacteristic
622C2×C4H(5,𝔽2)×C10311yescharacteristic
623C8—22no—
624C8—21no—
625C8—21no—
626C8—21no—
627C8—21no—
628C8—41no—
629C8—41no—
630C8—41no—
631C8—41no—
632C22—22no—
633C22—22no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22—81no—
650C22—164no—
651C22—164no—
652C22D42×C10311yescharacteristic
653C4—21no—
654C4—41no—
655C4—41no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—81no—
660C4C2×AGL(1,ℤ/8)×C10311yescharacteristic
661C4C2×AGL(1,ℤ/8)×C10311yescharacteristic
662C4#576×C10311yescharacteristic
663C4#577×C10311yescharacteristic
664C2—42no—
665C2—42no—
666C2—81no—
667C2—161no—
668C2—161no—
669C2—161no—
670C2C103×#326411yescharacteristic
671C2C103×#326511yescharacteristic
672C2C103×#329211yescharacteristic
subgroupG/H
center, socleC22×C103D42
commutator, Frattini, cosocleC42C24×C103
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C103 ◁ C42×C103 ◁ G

Complements

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

NH ≅ G/Ntype
1. C103×#3366C2semidirect
2. C103×#3295C2semidirect
3. D4×D8×C103C2semidirect
4. C103×#3274C2semidirect
5. C103×#1721C2semidirect
6. C103×#1697C2semidirect
7. C103×#1688C2semidirect
8. C103×#1677C2semidirect
9. C103×#1667C2semidirect
10. C103×#1629C2semidirect
11. C103×#1622C2semidirect
12. C103×#1621C2semidirect
13. C103×#1619C2semidirect
14. C103×#1586C2semidirect
15. C103×#1585C2semidirect
18. #554×C103C22semidirect
19. #550×C103C22semidirect
23. #493×C103C22semidirect
24. #493×C103C22semidirect
25. #492×C103C22semidirect
27. #486×C103C22semidirect
28. #486×C103C22semidirect
32. #476×C103C22semidirect
36. #460×C103C22semidirect
37. #460×C103C22semidirect
42. #459×C103C22semidirect
48. #446×C103C22semidirect
52. #436×C103C22semidirect
54. C8×D4×C103C22semidirect
56. #335×C103C22semidirect
57. #334×C103C22semidirect
58. #333×C103C22semidirect
59. #331×C103C22semidirect
60. #331×C103C22semidirect
61. #331×C103C22semidirect
62. Q8⋊C8×C103C22semidirect
64. D4⋊C8×C103C22semidirect
65. D4⋊C8×C103C22semidirect
66. #322×C103C22semidirect
268. D4×C103AGL(1,ℤ/8)semidirect
327. #20024C103direct (N × H)
337. #3366C2×C103semidirect
338. #3295C2×C103semidirect
339. D4×D8C2×C103semidirect
340. #3274C2×C103semidirect
341. #1721C2×C103semidirect
342. #1697C2×C103semidirect
343. #1688C2×C103semidirect
344. #1677C2×C103semidirect
345. #1667C2×C103semidirect
346. #1629C2×C103semidirect
347. #1622C2×C103semidirect
348. #1621C2×C103semidirect
349. #1619C2×C103semidirect
350. #1586C2×C103semidirect
351. #1585C2×C103semidirect
352. C103#20024direct (N × H)
355. #554C22×C103semidirect
356. #550C22×C103semidirect
360. #493C22×C103semidirect
361. #493C22×C103semidirect
362. #492C22×C103semidirect
364. #486C22×C103semidirect
365. #486C22×C103semidirect
369. #476C22×C103semidirect
373. #460C22×C103semidirect
374. #460C22×C103semidirect
379. #459C22×C103semidirect
385. #446C22×C103semidirect
389. #436C22×C103semidirect
391. C8×D4C22×C103semidirect
393. #335C22×C103semidirect
394. #334C22×C103semidirect
395. #333C22×C103semidirect
396. #331C22×C103semidirect
397. #331C22×C103semidirect
398. #331C22×C103semidirect
399. Q8⋊C8C22×C103semidirect
401. D4⋊C8C22×C103semidirect
402. D4⋊C8C22×C103semidirect
403. #322C22×C103semidirect
605. D4AGL(1,ℤ/8)×C103semidirect

Maximal subgroups

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

subgroupindex
C103×#33662
C103×#32952
D4×D8×C1032
C103×#32742
C103×#17212
C103×#16972
C103×#16882
C103×#16772
C103×#16672
C103×#16292
C103×#16222
C103×#16212
C103×#16192
C103×#15862
C103×#15852
#20024103