Finite Group Databasebeta

← C103×#19755 #39925030

Subgroups — C103×#19755 #39925030

Order 26368.

842 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C103×#3294C211yesmaximal, characteristic, complemented
2D4×D8×C103C211yesmaximal, characteristic, complemented
3D4×D8×C103C211yesmaximal, characteristic, complemented
4C103×#3272C211yesmaximal, characteristic, complemented
5C103×#1721C211yesmaximal, characteristic, complemented
6C103×#1687C211yesmaximal, characteristic, complemented
7C103×#1681C211yesmaximal, characteristic, complemented
8C103×#1667C211yesmaximal, characteristic, complemented
9C103×#1665C211yesmaximal, characteristic, complemented
10C103×#1639C211yesmaximal, characteristic, complemented
11C103×#1625C211yesmaximal, characteristic, complemented
12C103×#1619C211yesmaximal, characteristic, complemented
13C103×#1619C211yesmaximal, characteristic, complemented
14C103×#1581C211yesmaximal, characteristic, complemented
15C103×#1580C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C103—21no—
17C22×D8×C103—21no—
18C22×D8×C103—21no—
19#547×C103C2211yescharacteristic, complemented
20D42×C103C2211yescharacteristic
21D42×C103C2211yescharacteristic, complemented
22D42×C103C2211yescharacteristic, complemented
23#493×C103C2211yescharacteristic, complemented
24#493×C103C2211yescharacteristic, complemented
25#493×C103C2211yescharacteristic, complemented
26#492×C103C2211yescharacteristic, complemented
27#486×C103C2211yescharacteristic, complemented
28#486×C103C2211yescharacteristic, complemented
29#480×C103—21no—
30#474×C103C2211yescharacteristic, complemented
31#468×C103—21no—
32#466×C103—21no—
33#466×C103—21no—
34#466×C103—21no—
35#461×C103C2211yescharacteristic, complemented
36#459×C103C2211yescharacteristic
37#459×C103C2211yescharacteristic
38#459×C103C2211yescharacteristic, complemented
39#459×C103C2211yescharacteristic, complemented
40#459×C103C2211yescharacteristic, complemented
41#459×C103C2211yescharacteristic, complemented
42#450×C103—21no—
43#449×C103—21no—
44#447×C103—21no—
45#447×C103—21no—
46#447×C103—21no—
47#447×C103—21no—
48#447×C103—21no—
49C4×D8×C103C2211yescharacteristic
50C4×D8×C103C2211yescharacteristic
51#436×C103C2211yescharacteristic, complemented
52C8×D4×C103C2211yescharacteristic, complemented
53C8×D4×C103C2211yescharacteristic, complemented
54C8×D4×C103C2211yescharacteristic, complemented
55C2×#102×C103—21no—
56#335×C103C2211yescharacteristic, complemented
57#334×C103C2211yescharacteristic, complemented
58#332×C103C2211yescharacteristic, complemented
59#331×C103C2211yescharacteristic, complemented
60#331×C103C2211yescharacteristic, complemented
61#331×C103C2211yescharacteristic, complemented
62D4⋊C8×C103C2211yescharacteristic, complemented
63D4⋊C8×C103C2211yescharacteristic, complemented
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—
72C22×D4×C103—21no—
73C22×D4×C103—21no—
74AGL(1,ℤ/8)×C103—44no—
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—21no—
85C2×D8×C103—21no—
86C2×D8×C103—21no—
87C2×D8×C103—21no—
88C2×D8×C103—41no—
89C2×D8×C103—44no—
90C2×D8×C103—44no—
91C2×D8×C103D411yescharacteristic
92C2×D8×C103D411yescharacteristic
93C2×M16×C103—21no—
94C22×C8×C103—21no—
95C22×C8×C103—21no—
96C22×C8×C103—21no—
97C4⋊Q8×C103C2311yescharacteristic
98#127×C103C2311yescharacteristic
99#127×C103C2311yescharacteristic
100#127×C103C2311yescharacteristic
101#123×C103—41no—
102C22⋊Q8×C103—21no—
103#121×C103—21no—
104#121×C103—21no—
105#121×C103—21no—
106#121×C103—21no—
107#121×C103—21no—
108#121×C103—21no—
109#121×C103—21no—
110#120×C103—41no—
111#120×C103—41no—
112#120×C103—41no—
113C4×D4×C103C2311yescharacteristic
114C4×D4×C103C2311yescharacteristic
115C4×D4×C103C2311yescharacteristic
116C4×D4×C103C2311yescharacteristic
117C2×C4⋊C4×C103—21no—
118#107×C103—21no—
119#107×C103D411yescharacteristic
120#107×C103D411yescharacteristic
121C4⋊C8×C103C2311yescharacteristic
122C4⋊C8×C103C2311yescharacteristic
123C4⋊C8×C103C2311yescharacteristic
124C4⋊C8×C103C2311yescharacteristic
125#103×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—41no—
136#102×C103D411yescharacteristic
137#102×C103D411yescharacteristic
138#102×C103D411yescharacteristic
139#102×C103D411yescharacteristic
140C22⋊C8×C103—21no—
141C22⋊C8×C103—21no—
142C22⋊C8×C103—21no—
143C22⋊C8×C103—21no—
144C4×C8×C103C2311yescharacteristic
145C4×C8×C103C2311yescharacteristic
146C4×C8×C103C2311yescharacteristic
147C24×C103—41no—
148C24×C103—41no—
149C24×C103—41no—
150#41×C103—42no—
151#41×C103—81no—
152C2×Q8×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—21no—
162C2×D4×C103—41no—
163C2×D4×C103—41no—
164C2×D4×C103—41no—
165C2×D4×C103—41no—
166C2×D4×C103—41no—
167C2×D4×C103—41no—
168C2×D4×C103—42no—
169C2×D4×C103—42no—
170C2×D4×C103—42no—
171C2×D4×C103—42no—
172C2×D4×C103—42no—
173C2×D4×C103—42no—
174C2×D4×C103—41no—
175C2×D4×C103—81no—
176C2×D4×C103—81no—
177C2×D4×C103—81no—
178C2×D4×C103—81no—
179C2×D4×C103—81no—
180C2×D4×C103—81no—
181C2×D4×C103C2×D411yescharacteristic
182C2×D4×C103C2×D411yescharacteristic
183C2×D4×C103C2×D411yescharacteristic
184C2×D4×C103C2×D411yescharacteristic
185C22×C4×C103—21no—
186C22×C4×C103—21no—
187C22×C4×C103—21no—
188C22×C4×C103—21no—
189C22×C4×C103—41no—
190SD16×C103—42no—
191SD16×C103—42no—
192SD16×C103—81no—
193D8×C103—22no—
194D8×C103—42no—
195D8×C103—42no—
196D8×C103—42no—
197D8×C103—42no—
198D8×C103—42no—
199D8×C103—42no—
200D8×C103—42no—
201D8×C103—81no—
202D8×C103—81no—
203D8×C103—81no—
204D8×C103—82no—
205D8×C103D814yescomplemented
206M16×C103—42no—
207C2×C8×C103—21no—
208C2×C8×C103—21no—
209C2×C8×C103—21no—
210C2×C8×C103—21no—
211C2×C8×C103—21no—
212C2×C8×C103—42no—
213C2×C8×C103—42no—
214C2×C8×C103—81no—
215C2×C8×C103C2×D411yescharacteristic
216C2×C8×C103C2×D411yescharacteristic
217C2×C8×C103C2×D411yescharacteristic
218C2×C8×C103C2×D411yescharacteristic
219C4⋊C4×C103—21no—
220C4⋊C4×C103—21no—
221C4⋊C4×C103—41no—
222C4⋊C4×C103C2×D411yescharacteristic
223C4⋊C4×C103C2×D411yescharacteristic
224C4⋊C4×C103C2×D411yescharacteristic
225C4⋊C4×C103C2×D411yescharacteristic
226C22⋊C4×C103—21no—
227C22⋊C4×C103—21no—
228C22⋊C4×C103—21no—
229C22⋊C4×C103—21no—
230C22⋊C4×C103—41no—
231C22⋊C4×C103—41no—
232C22⋊C4×C103—41no—
233C22⋊C4×C103—41no—
234C42×C103C2411yescharacteristic
235C23×C103—21no—
236C23×C103—21no—
237C23×C103—21no—
238C23×C103—21no—
239C23×C103—41no—
240C23×C103—41no—
241C23×C103—41no—
242C23×C103—82no—
243C23×C103—82no—
244C23×C103—82no—
245C23×C103—82no—
246C23×C103—82no—
247C23×C103—82no—
248C23×C103—161no—
249C23×C103—161no—
250C23×C103—161no—
251Q8×C103—41no—
252Q8×C103—41no—
253D4×C103—21no—
254D4×C103—21no—
255D4×C103—21no—
256D4×C103—21no—
257D4×C103—21no—
258D4×C103—41no—
259D4×C103—41no—
260D4×C103—41no—
261D4×C103—41no—
262D4×C103—41no—
263D4×C103—41no—
264D4×C103—41no—
265D4×C103—41no—
266D4×C103—41no—
267D4×C103—41no—
268D4×C103—41no—
269D4×C103—41no—
270D4×C103—81no—
271D4×C103—81no—
272D4×C103—81no—
273D4×C103—82no—
274D4×C103—82no—
275D4×C103—82no—
276D4×C103—82no—
277D4×C103—82no—
278D4×C103—82no—
279D4×C103—82no—
280D4×C103C2×D812yes—
281D4×C103C2×D812yescomplemented
282D4×C103AGL(1,ℤ/8)12yescomplemented
283C2×C4×C103—21no—
284C2×C4×C103—21no—
285C2×C4×C103—21no—
286C2×C4×C103—21no—
287C2×C4×C103—41no—
288C2×C4×C103—41no—
289C2×C4×C103—41no—
290C2×C4×C103—41no—
291C2×C4×C103—41no—
292C2×C4×C103—41no—
293C2×C4×C103—41no—
294C2×C4×C103—41no—
295C2×C4×C103—41no—
296C2×C4×C103—82no—
297C2×C4×C103C22×D411yescharacteristic
298C2×C4×C103C22×D411yescharacteristic
299C2×C4×C103H(5,𝔽2)11yescharacteristic
300C8×C103—21no—
301C8×C103—21no—
302C8×C103—21no—
303C8×C103—41no—
304C8×C103—41no—
305C8×C103—41no—
306C8×C103—41no—
307C8×C103—41no—
308C8×C103C2×D812yescomplemented
309C22×C103—22no—
310C22×C103—22no—
311C22×C103—22no—
312C22×C103—41no—
313C22×C103—41no—
314C22×C103—41no—
315C22×C103—41no—
316C22×C103—41no—
317C22×C103—41no—
318C22×C103—41no—
319C22×C103—41no—
320C22×C103—41no—
321C22×C103—81no—
322C22×C103—81no—
323C22×C103—81no—
324C22×C103—81no—
325C22×C103—81no—
326C22×C103—81no—
327C22×C103—81no—
328C22×C103—81no—
329C22×C103—81no—
330C22×C103—164no—
331C22×C103—164no—
332C22×C103—164no—
333C22×C103D4211yescharacteristic
334C4×C103—21no—
335C4×C103—41no—
336C4×C103—41no—
337C4×C103—41no—
338C4×C103—41no—
339C4×C103—81no—
340C4×C103C22×D811yescharacteristic
341C4×C103C2×AGL(1,ℤ/8)11yescharacteristic
342C4×C103#57611yescharacteristic
343C4×C103#57611yescharacteristic
344#19755C10311yesmaximal, characteristic, direct product factor, Sylow
345C2×C103—42no—
346C2×C103—42no—
347C2×C103—42no—
348C2×C103—81no—
349C2×C103—161no—
350C2×C103—161no—
351C2×C103—161no—
352C2×C103#326411yescharacteristic
353C2×C103D4×D811yescharacteristic
354C2×C103#328811yescharacteristic
355#3294C2×C10311yescharacteristic, complemented
356D4×D8C2×C10311yescharacteristic, complemented
357D4×D8C2×C10311yescharacteristic, complemented
358#3272C2×C10311yescharacteristic, complemented
359#1721C2×C10311yescharacteristic, complemented
360#1687C2×C10311yescharacteristic, complemented
361#1681C2×C10311yescharacteristic, complemented
362#1667C2×C10311yescharacteristic, complemented
363#1665C2×C10311yescharacteristic, complemented
364#1639C2×C10311yescharacteristic, complemented
365#1625C2×C10311yescharacteristic, complemented
366#1619C2×C10311yescharacteristic, complemented
367#1619C2×C10311yescharacteristic, complemented
368#1581C2×C10311yescharacteristic, complemented
369#1580C2×C10311yescharacteristic, complemented
370C103#1975511yescharacteristic, direct product factor, Sylow
371C2×AGL(1,ℤ/8)—21no—
372C22×D8—21no—
373C22×D8—21no—
374#547C22×C10311yescharacteristic, complemented
375D42C22×C10311yescharacteristic
376D42C22×C10311yescharacteristic, complemented
377D42C22×C10311yescharacteristic, complemented
378#493C22×C10311yescharacteristic, complemented
379#493C22×C10311yescharacteristic, complemented
380#493C22×C10311yescharacteristic, complemented
381#492C22×C10311yescharacteristic, complemented
382#486C22×C10311yescharacteristic, complemented
383#486C22×C10311yescharacteristic, complemented
384#480—21no—
385#474C22×C10311yescharacteristic, complemented
386#468—21no—
387#466—21no—
388#466—21no—
389#466—21no—
390#461C22×C10311yescharacteristic, complemented
391#459C22×C10311yescharacteristic
392#459C22×C10311yescharacteristic
393#459C22×C10311yescharacteristic, complemented
394#459C22×C10311yescharacteristic, complemented
395#459C22×C10311yescharacteristic, complemented
396#459C22×C10311yescharacteristic, complemented
397#450—21no—
398#449—21no—
399#447—21no—
400#447—21no—
401#447—21no—
402#447—21no—
403#447—21no—
404C4×D8C22×C10311yescharacteristic
405C4×D8C22×C10311yescharacteristic
406#436C22×C10311yescharacteristic, complemented
407C8×D4C22×C10311yescharacteristic, complemented
408C8×D4C22×C10311yescharacteristic, complemented
409C8×D4C22×C10311yescharacteristic, complemented
410C2×#102—21no—
411#335C22×C10311yescharacteristic, complemented
412#334C22×C10311yescharacteristic, complemented
413#332C22×C10311yescharacteristic, complemented
414#331C22×C10311yescharacteristic, complemented
415#331C22×C10311yescharacteristic, complemented
416#331C22×C10311yescharacteristic, complemented
417D4⋊C8C22×C10311yescharacteristic, complemented
418D4⋊C8C22×C10311yescharacteristic, complemented
419D4⋊C8C22×C10311yescharacteristic, complemented
420D4⋊C8C22×C10311yescharacteristic, complemented
421#322C22×C10311yescharacteristic, complemented
422C2×#41—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—21no—
427C22×D4—21no—
428C22×D4—21no—
429AGL(1,ℤ/8)—44no—
430C2×SD16—21no—
431C2×SD16—21no—
432C2×SD16—21no—
433C2×D8—21no—
434C2×D8—21no—
435C2×D8—21no—
436C2×D8—21no—
437C2×D8—21no—
438C2×D8—21no—
439C2×D8—21no—
440C2×D8—21no—
441C2×D8—21no—
442C2×D8—21no—
443C2×D8—41no—
444C2×D8—44no—
445C2×D8—44no—
446C2×D8D4×C10311yescharacteristic
447C2×D8D4×C10311yescharacteristic
448C2×M16—21no—
449C22×C8—21no—
450C22×C8—21no—
451C22×C8—21no—
452C4⋊Q8C23×C10311yescharacteristic
453#127C23×C10311yescharacteristic
454#127C23×C10311yescharacteristic
455#127C23×C10311yescharacteristic
456#123—41no—
457C22⋊Q8—21no—
458#121—21no—
459#121—21no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121—21no—
465#120—41no—
466#120—41no—
467#120—41no—
468C4×D4C23×C10311yescharacteristic
469C4×D4C23×C10311yescharacteristic
470C4×D4C23×C10311yescharacteristic
471C4×D4C23×C10311yescharacteristic
472C2×C4⋊C4—21no—
473#107—21no—
474#107D4×C10311yescharacteristic
475#107D4×C10311yescharacteristic
476C4⋊C8C23×C10311yescharacteristic
477C4⋊C8C23×C10311yescharacteristic
478C4⋊C8C23×C10311yescharacteristic
479C4⋊C8C23×C10311yescharacteristic
480#103—21no—
481#102—21no—
482#102—21no—
483#102—21no—
484#102—21no—
485#102—21no—
486#102—21no—
487#102—21no—
488#102—21no—
489#102—21no—
490#102—41no—
491#102D4×C10311yescharacteristic
492#102D4×C10311yescharacteristic
493#102D4×C10311yescharacteristic
494#102D4×C10311yescharacteristic
495C22⋊C8—21no—
496C22⋊C8—21no—
497C22⋊C8—21no—
498C22⋊C8—21no—
499C4×C8C23×C10311yescharacteristic
500C4×C8C23×C10311yescharacteristic
501C4×C8C23×C10311yescharacteristic
502C24—41no—
503C24—41no—
504C24—41no—
505#41—42no—
506#41—81no—
507C2×Q8—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—41no—
518C2×D4—41no—
519C2×D4—41no—
520C2×D4—41no—
521C2×D4—41no—
522C2×D4—41no—
523C2×D4—42no—
524C2×D4—42no—
525C2×D4—42no—
526C2×D4—42no—
527C2×D4—42no—
528C2×D4—42no—
529C2×D4—41no—
530C2×D4—81no—
531C2×D4—81no—
532C2×D4—81no—
533C2×D4—81no—
534C2×D4—81no—
535C2×D4—81no—
536C2×D4C2×D4×C10311yescharacteristic
537C2×D4C2×D4×C10311yescharacteristic
538C2×D4C2×D4×C10311yescharacteristic
539C2×D4C2×D4×C10311yescharacteristic
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—41no—
545SD16—42no—
546SD16—42no—
547SD16—81no—
548D8—22no—
549D8—42no—
550D8—42no—
551D8—42no—
552D8—42no—
553D8—42no—
554D8—42no—
555D8—42no—
556D8—81no—
557D8—81no—
558D8—81no—
559D8—82no—
560D8D8×C10314yescomplemented
561M16—42no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—42no—
568C2×C8—42no—
569C2×C8—81no—
570C2×C8C2×D4×C10311yescharacteristic
571C2×C8C2×D4×C10311yescharacteristic
572C2×C8C2×D4×C10311yescharacteristic
573C2×C8C2×D4×C10311yescharacteristic
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—41no—
577C4⋊C4C2×D4×C10311yescharacteristic
578C4⋊C4C2×D4×C10311yescharacteristic
579C4⋊C4C2×D4×C10311yescharacteristic
580C4⋊C4C2×D4×C10311yescharacteristic
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—21no—
584C22⋊C4—21no—
585C22⋊C4—41no—
586C22⋊C4—41no—
587C22⋊C4—41no—
588C22⋊C4—41no—
589C42C24×C10311yescharacteristic
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—82no—
598C23—82no—
599C23—82no—
600C23—82no—
601C23—82no—
602C23—82no—
603C23—161no—
604C23—161no—
605C23—161no—
606Q8—41no—
607Q8—41no—
608D4—21no—
609D4—21no—
610D4—21no—
611D4—21no—
612D4—21no—
613D4—41no—
614D4—41no—
615D4—41no—
616D4—41no—
617D4—41no—
618D4—41no—
619D4—41no—
620D4—41no—
621D4—41no—
622D4—41no—
623D4—41no—
624D4—41no—
625D4—81no—
626D4—81no—
627D4—81no—
628D4—82no—
629D4—82no—
630D4—82no—
631D4—82no—
632D4—82no—
633D4—82no—
634D4—82no—
635D4C2×D8×C10312yes—
636D4C2×D8×C10312yescomplemented
637D4AGL(1,ℤ/8)×C10312yescomplemented
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—82no—
652C2×C4C22×D4×C10311yescharacteristic
653C2×C4C22×D4×C10311yescharacteristic
654C2×C4H(5,𝔽2)×C10311yescharacteristic
655C8—21no—
656C8—21no—
657C8—21no—
658C8—41no—
659C8—41no—
660C8—41no—
661C8—41no—
662C8—41no—
663C8C2×D8×C10312yescomplemented
664C22—22no—
665C22—22no—
666C22—22no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—81no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—164no—
686C22—164no—
687C22—164no—
688C22D42×C10311yescharacteristic
689C4—21no—
690C4—41no—
691C4—41no—
692C4—41no—
693C4—41no—
694C4—81no—
695C4C22×D8×C10311yescharacteristic
696C4C2×AGL(1,ℤ/8)×C10311yescharacteristic
697C4#576×C10311yescharacteristic
698C4#576×C10311yescharacteristic
699C2—42no—
700C2—42no—
701C2—42no—
702C2—81no—
703C2—161no—
704C2—161no—
705C2—161no—
706C2C103×#326411yescharacteristic
707C2D4×D8×C10311yescharacteristic
708C2C103×#328811yescharacteristic
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×#3294C2semidirect
2. D4×D8×C103C2semidirect
3. D4×D8×C103C2semidirect
4. C103×#3272C2semidirect
5. C103×#1721C2semidirect
6. C103×#1687C2semidirect
7. C103×#1681C2semidirect
8. C103×#1667C2semidirect
9. C103×#1665C2semidirect
10. C103×#1639C2semidirect
11. C103×#1625C2semidirect
12. C103×#1619C2semidirect
13. C103×#1619C2semidirect
14. C103×#1581C2semidirect
15. C103×#1580C2semidirect
19. #547×C103C22semidirect
21. D42×C103C22semidirect
22. D42×C103C22semidirect
23. #493×C103C22semidirect
24. #493×C103C22semidirect
25. #493×C103C22semidirect
26. #492×C103C22semidirect
27. #486×C103C22semidirect
28. #486×C103C22semidirect
30. #474×C103C22semidirect
35. #461×C103C22semidirect
38. #459×C103C22semidirect
39. #459×C103C22semidirect
40. #459×C103C22semidirect
41. #459×C103C22semidirect
51. #436×C103C22semidirect
52. C8×D4×C103C22semidirect
53. C8×D4×C103C22semidirect
54. C8×D4×C103C22semidirect
56. #335×C103C22semidirect
57. #334×C103C22semidirect
58. #332×C103C22semidirect
59. #331×C103C22semidirect
60. #331×C103C22semidirect
61. #331×C103C22semidirect
62. D4⋊C8×C103C22semidirect
63. D4⋊C8×C103C22semidirect
64. D4⋊C8×C103C22semidirect
65. D4⋊C8×C103C22semidirect
66. #322×C103C22semidirect
205. D8×C103D8semidirect
281. D4×C103C2×D8semidirect
282. D4×C103AGL(1,ℤ/8)semidirect
308. C8×C103C2×D8semidirect
344. #19755C103direct (N × H)
355. #3294C2×C103semidirect
356. D4×D8C2×C103semidirect
357. D4×D8C2×C103semidirect
358. #3272C2×C103semidirect
359. #1721C2×C103semidirect
360. #1687C2×C103semidirect
361. #1681C2×C103semidirect
362. #1667C2×C103semidirect
363. #1665C2×C103semidirect
364. #1639C2×C103semidirect
365. #1625C2×C103semidirect
366. #1619C2×C103semidirect
367. #1619C2×C103semidirect
368. #1581C2×C103semidirect
369. #1580C2×C103semidirect
370. C103#19755direct (N × H)
374. #547C22×C103semidirect
376. D42C22×C103semidirect
377. D42C22×C103semidirect
378. #493C22×C103semidirect
379. #493C22×C103semidirect
380. #493C22×C103semidirect
381. #492C22×C103semidirect
382. #486C22×C103semidirect
383. #486C22×C103semidirect
385. #474C22×C103semidirect
390. #461C22×C103semidirect
393. #459C22×C103semidirect
394. #459C22×C103semidirect
395. #459C22×C103semidirect
396. #459C22×C103semidirect
406. #436C22×C103semidirect
407. C8×D4C22×C103semidirect
408. C8×D4C22×C103semidirect
409. C8×D4C22×C103semidirect
411. #335C22×C103semidirect
412. #334C22×C103semidirect
413. #332C22×C103semidirect
414. #331C22×C103semidirect
415. #331C22×C103semidirect
416. #331C22×C103semidirect
417. D4⋊C8C22×C103semidirect
418. D4⋊C8C22×C103semidirect
419. D4⋊C8C22×C103semidirect
420. D4⋊C8C22×C103semidirect
421. #322C22×C103semidirect
560. D8D8×C103semidirect
636. D4C2×D8×C103semidirect
637. D4AGL(1,ℤ/8)×C103semidirect
663. C8C2×D8×C103semidirect

Maximal subgroups

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

subgroupindex
C103×#32942
D4×D8×C1032
C103×#32722
C103×#17212
C103×#16872
C103×#16812
C103×#16672
C103×#16652
C103×#16392
C103×#16252
C103×#16192
C103×#15812
C103×#15802
#19755103