Finite Group Databasebeta

← C103×#20022 #39925297

Subgroups — C103×#20022 #39925297

Order 26368.

768 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C103×#3330C211yesmaximal, characteristic, complemented
2C103×#3294C211yesmaximal, characteristic, complemented
3D4×D8×C103C211yesmaximal, characteristic, complemented
4C103×#3272C211yesmaximal, characteristic, complemented
5C103×#1717C211yesmaximal, characteristic, complemented
6C103×#1701C211yesmaximal, characteristic, complemented
7C103×#1687C211yesmaximal, characteristic, complemented
8C103×#1679C211yesmaximal, characteristic, complemented
9C103×#1665C211yesmaximal, characteristic, complemented
10C103×#1639C211yesmaximal, characteristic, complemented
11C103×#1639C211yesmaximal, characteristic, complemented
12C103×#1625C211yesmaximal, characteristic, complemented
13C103×#1625C211yesmaximal, characteristic, complemented
14C103×#1586C211yesmaximal, characteristic, complemented
15C103×#1586C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C103—21no—
17C22×D8×C103—21no—
18#547×C103C2211yescharacteristic, complemented
19#547×C103C2211yescharacteristic, complemented
20D42×C103C2211yescharacteristic
21D42×C103C2211yescharacteristic
22#493×C103C2211yescharacteristic
23#492×C103C2211yescharacteristic, complemented
24#487×C103C2211yescharacteristic, complemented
25#486×C103C2211yescharacteristic, complemented
26#486×C103C2211yescharacteristic, complemented
27#486×C103C2211yescharacteristic, complemented
28#484×C103—21no—
29#480×C103—21no—
30#474×C103C2211yescharacteristic
31#474×C103C2211yescharacteristic, complemented
32#468×C103—21no—
33#468×C103—21no—
34#466×C103—21no—
35#466×C103—21no—
36#461×C103C2211yescharacteristic
37#461×C103C2211yescharacteristic, complemented
38#459×C103C2211yescharacteristic
39#459×C103C2211yescharacteristic
40#459×C103C2211yescharacteristic, complemented
41#459×C103C2211yescharacteristic, complemented
42#450×C103—21no—
43#449×C103—21no—
44#449×C103—21no—
45#447×C103—21no—
46#447×C103—21no—
47#447×C103—21no—
48C4×D8×C103C2211yescharacteristic
49C4×D8×C103C2211yescharacteristic
50#436×C103C2211yescharacteristic, complemented
51#436×C103C2211yescharacteristic, complemented
52C8×D4×C103C2211yescharacteristic
53C8×D4×C103C2211yescharacteristic, complemented
54#417×C103—21no—
55C2×#102×C103—21no—
56#334×C103C2211yescharacteristic, complemented
57#334×C103C2211yescharacteristic, complemented
58#332×C103C2211yescharacteristic, complemented
59#332×C103C2211yescharacteristic, complemented
60#331×C103C2211yescharacteristic, complemented
61#331×C103C2211yescharacteristic, complemented
62D4⋊C8×C103C2211yescharacteristic
63D4⋊C8×C103C2211yescharacteristic, complemented
64D4⋊C8×C103C2211yescharacteristic, complemented
65D4⋊C8×C103C2211yescharacteristic, complemented
66#322×C103C2211yescharacteristic, complemented
67C2×#41×C103—21no—
68C2×#41×C103—21no—
69C22×D4×C103—21no—
70C22×D4×C103—21no—
71C22×D4×C103—21no—
72C22×D4×C103—21no—
73AGL(1,ℤ/8)×C103—44no—
74C2×SD16×C103—21no—
75C2×SD16×C103—21no—
76C2×SD16×C103—21no—
77C2×SD16×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—44no—
85C2×D8×C103D411yescharacteristic
86C2×D8×C103D411yescharacteristic
87C2×M16×C103—21no—
88C2×M16×C103—21no—
89C22×C8×C103—21no—
90C22×C8×C103—21no—
91C4⋊Q8×C103C2311yescharacteristic
92C4⋊Q8×C103C2311yescharacteristic
93#127×C103C2311yescharacteristic
94#127×C103C2311yescharacteristic
95#123×C103—41no—
96#123×C103—41no—
97C22⋊Q8×C103—21no—
98C22⋊Q8×C103—21no—
99#121×C103—21no—
100#121×C103—21no—
101#121×C103—21no—
102#121×C103—21no—
103#121×C103—21no—
104#121×C103—21no—
105#120×C103—41no—
106#120×C103—41no—
107C4×D4×C103C2311yescharacteristic
108C4×D4×C103C2311yescharacteristic
109C4×D4×C103C2311yescharacteristic
110C4×D4×C103C2311yescharacteristic
111C2×C4⋊C4×C103—21no—
112C2×C4⋊C4×C103—21no—
113#107×C103—21no—
114#107×C103—21no—
115#107×C103D411yescharacteristic
116#107×C103D411yescharacteristic
117C4⋊C8×C103C2311yescharacteristic
118C4⋊C8×C103C2311yescharacteristic
119C4⋊C8×C103C2311yescharacteristic
120C4⋊C8×C103C2311yescharacteristic
121#103×C103—21no—
122#103×C103—21no—
123#103×C103—21no—
124#103×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—41no—
134#102×C103—41no—
135#102×C103D411yescharacteristic
136#102×C103D411yescharacteristic
137#102×C103D411yescharacteristic
138#102×C103D411yescharacteristic
139C22⋊C8×C103—21no—
140C22⋊C8×C103—21no—
141C22⋊C8×C103—21no—
142C22⋊C8×C103—21no—
143C4×C8×C103C2311yescharacteristic
144C4×C8×C103C2311yescharacteristic
145C4×C8×C103C2311yescharacteristic
146C24×C103—41no—
147C24×C103—41no—
148#41×C103—42no—
149#41×C103—42no—
150#41×C103—81no—
151#41×C103—81no—
152C2×Q8×C103—21no—
153C2×Q8×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—41no—
161C2×D4×C103—41no—
162C2×D4×C103—41no—
163C2×D4×C103—41no—
164C2×D4×C103—42no—
165C2×D4×C103—42no—
166C2×D4×C103—42no—
167C2×D4×C103—42no—
168C2×D4×C103—41no—
169C2×D4×C103—41no—
170C2×D4×C103—81no—
171C2×D4×C103—81no—
172C2×D4×C103—81no—
173C2×D4×C103—81no—
174C2×D4×C103C2×D411yescharacteristic
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—21no—
182C22×C4×C103—41no—
183C22×C4×C103—41no—
184SD16×C103—42no—
185SD16×C103—42no—
186SD16×C103—81no—
187SD16×C103—81no—
188D8×C103—22no—
189D8×C103—22no—
190D8×C103—42no—
191D8×C103—42no—
192D8×C103—42no—
193D8×C103—42no—
194D8×C103—81no—
195D8×C103—81no—
196M16×C103—42no—
197M16×C103—81no—
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—21no—
213C4⋊C4×C103—41no—
214C4⋊C4×C103—41no—
215C4⋊C4×C103C2×D411yescharacteristic
216C4⋊C4×C103C2×D411yescharacteristic
217C4⋊C4×C103C2×D411yescharacteristic
218C4⋊C4×C103C2×D411yescharacteristic
219C22⋊C4×C103—21no—
220C22⋊C4×C103—21no—
221C22⋊C4×C103—21no—
222C22⋊C4×C103—21no—
223C22⋊C4×C103—41no—
224C22⋊C4×C103—41no—
225C22⋊C4×C103—41no—
226C22⋊C4×C103—41no—
227C42×C103C2411yescharacteristic
228C23×C103—21no—
229C23×C103—21no—
230C23×C103—21no—
231C23×C103—21no—
232C23×C103—41no—
233C23×C103—41no—
234C23×C103—82no—
235C23×C103—82no—
236C23×C103—82no—
237C23×C103—82no—
238C23×C103—161no—
239C23×C103—161no—
240Q8×C103—41no—
241Q8×C103—41no—
242Q8×C103—41no—
243Q8×C103—41no—
244D4×C103—21no—
245D4×C103—21no—
246D4×C103—21no—
247D4×C103—21no—
248D4×C103—21no—
249D4×C103—21no—
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—82no—
261D4×C103—82no—
262D4×C103—82no—
263D4×C103—82no—
264D4×C103—82no—
265D4×C103—82no—
266D4×C103AGL(1,ℤ/8)12yes—
267D4×C103AGL(1,ℤ/8)12yescomplemented
268C2×C4×C103—21no—
269C2×C4×C103—21no—
270C2×C4×C103—21no—
271C2×C4×C103—21no—
272C2×C4×C103—41no—
273C2×C4×C103—41no—
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—41no—
282C2×C4×C103—82no—
283C2×C4×C103—82no—
284C2×C4×C103C22×D411yescharacteristic
285C2×C4×C103C22×D411yescharacteristic
286C2×C4×C103H(5,𝔽2)11yescharacteristic
287C8×C103—21no—
288C8×C103—21no—
289C8×C103—21no—
290C8×C103—21no—
291C8×C103—41no—
292C8×C103—41no—
293C8×C103—41no—
294C8×C103—41no—
295C8×C103—41no—
296C22×C103—22no—
297C22×C103—22no—
298C22×C103—41no—
299C22×C103—41no—
300C22×C103—41no—
301C22×C103—41no—
302C22×C103—41no—
303C22×C103—41no—
304C22×C103—41no—
305C22×C103—41no—
306C22×C103—41no—
307C22×C103—41no—
308C22×C103—81no—
309C22×C103—81no—
310C22×C103—81no—
311C22×C103—81no—
312C22×C103—81no—
313C22×C103—81no—
314C22×C103—164no—
315C22×C103—164no—
316C22×C103D4211yescharacteristic
317C4×C103—21no—
318C4×C103—41no—
319C4×C103—41no—
320C4×C103—41no—
321C4×C103—41no—
322C4×C103—81no—
323C4×C103—81no—
324C4×C103C2×AGL(1,ℤ/8)11yescharacteristic
325C4×C103C2×AGL(1,ℤ/8)11yescharacteristic
326C4×C103#57611yescharacteristic
327C4×C103#57611yescharacteristic
328#20022C10311yesmaximal, characteristic, direct product factor, Sylow
329C2×C103—42no—
330C2×C103—42no—
331C2×C103—81no—
332C2×C103—81no—
333C2×C103—161no—
334C2×C103—161no—
335C2×C103#326411yescharacteristic
336C2×C103#326411yescharacteristic
337C2×C103#329011yescharacteristic
338#3330C2×C10311yescharacteristic, complemented
339#3294C2×C10311yescharacteristic, complemented
340D4×D8C2×C10311yescharacteristic, complemented
341#3272C2×C10311yescharacteristic, complemented
342#1717C2×C10311yescharacteristic, complemented
343#1701C2×C10311yescharacteristic, complemented
344#1687C2×C10311yescharacteristic, complemented
345#1679C2×C10311yescharacteristic, complemented
346#1665C2×C10311yescharacteristic, complemented
347#1639C2×C10311yescharacteristic, complemented
348#1639C2×C10311yescharacteristic, complemented
349#1625C2×C10311yescharacteristic, complemented
350#1625C2×C10311yescharacteristic, complemented
351#1586C2×C10311yescharacteristic, complemented
352#1586C2×C10311yescharacteristic, complemented
353C103#2002211yescharacteristic, direct product factor, Sylow
354C2×AGL(1,ℤ/8)—21no—
355C22×D8—21no—
356#547C22×C10311yescharacteristic, complemented
357#547C22×C10311yescharacteristic, complemented
358D42C22×C10311yescharacteristic
359D42C22×C10311yescharacteristic
360#493C22×C10311yescharacteristic
361#492C22×C10311yescharacteristic, complemented
362#487C22×C10311yescharacteristic, complemented
363#486C22×C10311yescharacteristic, complemented
364#486C22×C10311yescharacteristic, complemented
365#486C22×C10311yescharacteristic, complemented
366#484—21no—
367#480—21no—
368#474C22×C10311yescharacteristic
369#474C22×C10311yescharacteristic, complemented
370#468—21no—
371#468—21no—
372#466—21no—
373#466—21no—
374#461C22×C10311yescharacteristic
375#461C22×C10311yescharacteristic, complemented
376#459C22×C10311yescharacteristic
377#459C22×C10311yescharacteristic
378#459C22×C10311yescharacteristic, complemented
379#459C22×C10311yescharacteristic, complemented
380#450—21no—
381#449—21no—
382#449—21no—
383#447—21no—
384#447—21no—
385#447—21no—
386C4×D8C22×C10311yescharacteristic
387C4×D8C22×C10311yescharacteristic
388#436C22×C10311yescharacteristic, complemented
389#436C22×C10311yescharacteristic, complemented
390C8×D4C22×C10311yescharacteristic
391C8×D4C22×C10311yescharacteristic, complemented
392#417—21no—
393C2×#102—21no—
394#334C22×C10311yescharacteristic, complemented
395#334C22×C10311yescharacteristic, complemented
396#332C22×C10311yescharacteristic, complemented
397#332C22×C10311yescharacteristic, complemented
398#331C22×C10311yescharacteristic, complemented
399#331C22×C10311yescharacteristic, complemented
400D4⋊C8C22×C10311yescharacteristic
401D4⋊C8C22×C10311yescharacteristic, complemented
402D4⋊C8C22×C10311yescharacteristic, complemented
403D4⋊C8C22×C10311yescharacteristic, complemented
404#322C22×C10311yescharacteristic, complemented
405C2×#41—21no—
406C2×#41—21no—
407C22×D4—21no—
408C22×D4—21no—
409C22×D4—21no—
410C22×D4—21no—
411AGL(1,ℤ/8)—44no—
412C2×SD16—21no—
413C2×SD16—21no—
414C2×SD16—21no—
415C2×SD16—21no—
416C2×D8—21no—
417C2×D8—21no—
418C2×D8—21no—
419C2×D8—21no—
420C2×D8—21no—
421C2×D8—21no—
422C2×D8—44no—
423C2×D8D4×C10311yescharacteristic
424C2×D8D4×C10311yescharacteristic
425C2×M16—21no—
426C2×M16—21no—
427C22×C8—21no—
428C22×C8—21no—
429C4⋊Q8C23×C10311yescharacteristic
430C4⋊Q8C23×C10311yescharacteristic
431#127C23×C10311yescharacteristic
432#127C23×C10311yescharacteristic
433#123—41no—
434#123—41no—
435C22⋊Q8—21no—
436C22⋊Q8—21no—
437#121—21no—
438#121—21no—
439#121—21no—
440#121—21no—
441#121—21no—
442#121—21no—
443#120—41no—
444#120—41no—
445C4×D4C23×C10311yescharacteristic
446C4×D4C23×C10311yescharacteristic
447C4×D4C23×C10311yescharacteristic
448C4×D4C23×C10311yescharacteristic
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451#107—21no—
452#107—21no—
453#107D4×C10311yescharacteristic
454#107D4×C10311yescharacteristic
455C4⋊C8C23×C10311yescharacteristic
456C4⋊C8C23×C10311yescharacteristic
457C4⋊C8C23×C10311yescharacteristic
458C4⋊C8C23×C10311yescharacteristic
459#103—21no—
460#103—21no—
461#103—21no—
462#103—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—41no—
472#102—41no—
473#102D4×C10311yescharacteristic
474#102D4×C10311yescharacteristic
475#102D4×C10311yescharacteristic
476#102D4×C10311yescharacteristic
477C22⋊C8—21no—
478C22⋊C8—21no—
479C22⋊C8—21no—
480C22⋊C8—21no—
481C4×C8C23×C10311yescharacteristic
482C4×C8C23×C10311yescharacteristic
483C4×C8C23×C10311yescharacteristic
484C24—41no—
485C24—41no—
486#41—42no—
487#41—42no—
488#41—81no—
489#41—81no—
490C2×Q8—21no—
491C2×Q8—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—42no—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4—42no—
506C2×D4—41no—
507C2×D4—41no—
508C2×D4—81no—
509C2×D4—81no—
510C2×D4—81no—
511C2×D4—81no—
512C2×D4C2×D4×C10311yescharacteristic
513C2×D4C2×D4×C10311yescharacteristic
514C2×D4C2×D4×C10311yescharacteristic
515C2×D4C2×D4×C10311yescharacteristic
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—41no—
521C22×C4—41no—
522SD16—42no—
523SD16—42no—
524SD16—81no—
525SD16—81no—
526D8—22no—
527D8—22no—
528D8—42no—
529D8—42no—
530D8—42no—
531D8—42no—
532D8—81no—
533D8—81no—
534M16—42no—
535M16—81no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—42no—
542C2×C8—81no—
543C2×C8C2×D4×C10311yescharacteristic
544C2×C8C2×D4×C10311yescharacteristic
545C2×C8C2×D4×C10311yescharacteristic
546C2×C8C2×D4×C10311yescharacteristic
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—41no—
552C4⋊C4—41no—
553C4⋊C4C2×D4×C10311yescharacteristic
554C4⋊C4C2×D4×C10311yescharacteristic
555C4⋊C4C2×D4×C10311yescharacteristic
556C4⋊C4C2×D4×C10311yescharacteristic
557C22⋊C4—21no—
558C22⋊C4—21no—
559C22⋊C4—21no—
560C22⋊C4—21no—
561C22⋊C4—41no—
562C22⋊C4—41no—
563C22⋊C4—41no—
564C22⋊C4—41no—
565C42C24×C10311yescharacteristic
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—41no—
571C23—41no—
572C23—82no—
573C23—82no—
574C23—82no—
575C23—82no—
576C23—161no—
577C23—161no—
578Q8—41no—
579Q8—41no—
580Q8—41no—
581Q8—41no—
582D4—21no—
583D4—21no—
584D4—21no—
585D4—21no—
586D4—21no—
587D4—21no—
588D4—41no—
589D4—41no—
590D4—41no—
591D4—41no—
592D4—41no—
593D4—41no—
594D4—41no—
595D4—41no—
596D4—81no—
597D4—81no—
598D4—82no—
599D4—82no—
600D4—82no—
601D4—82no—
602D4—82no—
603D4—82no—
604D4AGL(1,ℤ/8)×C10312yes—
605D4AGL(1,ℤ/8)×C10312yescomplemented
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—82no—
621C2×C4—82no—
622C2×C4C22×D4×C10311yescharacteristic
623C2×C4C22×D4×C10311yescharacteristic
624C2×C4H(5,𝔽2)×C10311yescharacteristic
625C8—21no—
626C8—21no—
627C8—21no—
628C8—21no—
629C8—41no—
630C8—41no—
631C8—41no—
632C8—41no—
633C8—41no—
634C22—22no—
635C22—22no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—41no—
645C22—41no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22—81no—
650C22—81no—
651C22—81no—
652C22—164no—
653C22—164no—
654C22D42×C10311yescharacteristic
655C4—21no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—41no—
660C4—81no—
661C4—81no—
662C4C2×AGL(1,ℤ/8)×C10311yescharacteristic
663C4C2×AGL(1,ℤ/8)×C10311yescharacteristic
664C4#576×C10311yescharacteristic
665C4#576×C10311yescharacteristic
666C2—42no—
667C2—42no—
668C2—81no—
669C2—81no—
670C2—161no—
671C2—161no—
672C2C103×#326411yescharacteristic
673C2C103×#326411yescharacteristic
674C2C103×#329011yescharacteristic
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×#3330C2semidirect
2. C103×#3294C2semidirect
3. D4×D8×C103C2semidirect
4. C103×#3272C2semidirect
5. C103×#1717C2semidirect
6. C103×#1701C2semidirect
7. C103×#1687C2semidirect
8. C103×#1679C2semidirect
9. C103×#1665C2semidirect
10. C103×#1639C2semidirect
11. C103×#1639C2semidirect
12. C103×#1625C2semidirect
13. C103×#1625C2semidirect
14. C103×#1586C2semidirect
15. C103×#1586C2semidirect
18. #547×C103C22semidirect
19. #547×C103C22semidirect
23. #492×C103C22semidirect
24. #487×C103C22semidirect
25. #486×C103C22semidirect
26. #486×C103C22semidirect
27. #486×C103C22semidirect
31. #474×C103C22semidirect
37. #461×C103C22semidirect
40. #459×C103C22semidirect
41. #459×C103C22semidirect
50. #436×C103C22semidirect
51. #436×C103C22semidirect
53. C8×D4×C103C22semidirect
56. #334×C103C22semidirect
57. #334×C103C22semidirect
58. #332×C103C22semidirect
59. #332×C103C22semidirect
60. #331×C103C22semidirect
61. #331×C103C22semidirect
63. D4⋊C8×C103C22semidirect
64. D4⋊C8×C103C22semidirect
65. D4⋊C8×C103C22semidirect
66. #322×C103C22semidirect
267. D4×C103AGL(1,ℤ/8)semidirect
328. #20022C103direct (N × H)
338. #3330C2×C103semidirect
339. #3294C2×C103semidirect
340. D4×D8C2×C103semidirect
341. #3272C2×C103semidirect
342. #1717C2×C103semidirect
343. #1701C2×C103semidirect
344. #1687C2×C103semidirect
345. #1679C2×C103semidirect
346. #1665C2×C103semidirect
347. #1639C2×C103semidirect
348. #1639C2×C103semidirect
349. #1625C2×C103semidirect
350. #1625C2×C103semidirect
351. #1586C2×C103semidirect
352. #1586C2×C103semidirect
353. C103#20022direct (N × H)
356. #547C22×C103semidirect
357. #547C22×C103semidirect
361. #492C22×C103semidirect
362. #487C22×C103semidirect
363. #486C22×C103semidirect
364. #486C22×C103semidirect
365. #486C22×C103semidirect
369. #474C22×C103semidirect
375. #461C22×C103semidirect
378. #459C22×C103semidirect
379. #459C22×C103semidirect
388. #436C22×C103semidirect
389. #436C22×C103semidirect
391. C8×D4C22×C103semidirect
394. #334C22×C103semidirect
395. #334C22×C103semidirect
396. #332C22×C103semidirect
397. #332C22×C103semidirect
398. #331C22×C103semidirect
399. #331C22×C103semidirect
401. D4⋊C8C22×C103semidirect
402. D4⋊C8C22×C103semidirect
403. D4⋊C8C22×C103semidirect
404. #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×#33302
C103×#32942
D4×D8×C1032
C103×#32722
C103×#17172
C103×#17012
C103×#16872
C103×#16792
C103×#16652
C103×#16392
C103×#16252
C103×#15862
#20022103