Finite Group Databasebeta

← C103×#18738 #39924013

Subgroups — C103×#18738 #39924013

Order 26368.

972 conjugacy classes of subgroups.

The subgroup lattice has 806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C103×#3546C211yesmaximal, characteristic, complemented
2C103×#3245C211yesmaximal, characteristic, complemented
3C103×#3212C211yesmaximal, characteristic, complemented
4C103×#3184C211yesmaximal, characteristic, complemented
5C103×#1654C211yesmaximal, characteristic, complemented
6C103×#1652C211yesmaximal, characteristic, complemented
7C103×#1641C211yesmaximal, characteristic, complemented
8C103×#1639C211yesmaximal, characteristic, complemented
9C103×#1628C211yesmaximal, characteristic, complemented
10C103×#1625C211yesmaximal, characteristic, complemented
11C103×#1621C211yesmaximal, characteristic, complemented
12C103×#1619C211yesmaximal, characteristic, complemented
13C103×#1540C211yesmaximal, characteristic, complemented
14C103×#1484C211yesmaximal, characteristic, complemented
15C103×#1483C211yesmaximal, characteristic, complemented
16#560×C103—22no—
17#556×C103C2211yescharacteristic
18#553×C103—21no—
19#550×C103—21no—
20#550×C103C2211yescharacteristic
21#547×C103C2211yescharacteristic
22#546×C103—21no—
23#546×C103—21no—
24D42×C103C2211yescharacteristic
25#542×C103—21no—
26#538×C103—22no—
27#537×C103—21no—
28#535×C103—21no—
29#535×C103—21no—
30#532×C103C2211yescharacteristic
31#532×C103C2211yescharacteristic
32#532×C103C2211yescharacteristic, complemented
33#529×C103C2211yescharacteristic
34#498×C103C2211yescharacteristic, complemented
35#495×C103—21no—
36#493×C103C2211yescharacteristic
37#488×C103—21no—
38#486×C103C2211yescharacteristic
39#486×C103C2211yescharacteristic, complemented
40#474×C103—21no—
41#474×C103C2211yescharacteristic
42#474×C103C2211yescharacteristic, complemented
43#469×C103—22no—
44#466×C103—21no—
45#466×C103—21no—
46#462×C103C2211yescharacteristic, complemented
47#461×C103C2211yescharacteristic
48#460×C103C2211yescharacteristic, complemented
49#459×C103—21no—
50#459×C103C2211yescharacteristic
51#459×C103C2211yescharacteristic
52#459×C103C2211yescharacteristic, complemented
53#452×C103—21no—
54#449×C103—21no—
55#442×C103—22no—
56#431×C103C2211yescharacteristic, complemented
57C2×C4⋊C8×C103C2211yescharacteristic, complemented
58C4×M16×C103C2211yescharacteristic, complemented
59#332×C103C2211yescharacteristic, complemented
60#332×C103C2211yescharacteristic, complemented
61#331×C103C2211yescharacteristic
62#331×C103C2211yescharacteristic
63Q8⋊C8×C103C2211yescharacteristic, complemented
64Q8⋊C8×C103C2211yescharacteristic, complemented
65D4⋊C8×C103C2211yescharacteristic
66D4⋊C8×C103C2211yescharacteristic
67D4⋊C8×C103C2211yescharacteristic
68D4⋊C8×C103C2211yescharacteristic
69D4⋊C8×C103C2211yescharacteristic, complemented
70D4⋊C8×C103C2211yescharacteristic, complemented
71C2×#41×C103—21no—
72C2×#41×C103—21no—
73C2×#41×C103—21no—
74C2×#41×C103—21no—
75C2×#41×C103—21no—
76C22×D4×C103—21no—
77C22×D4×C103—21no—
78C2×Q16×C103—21no—
79C2×SD16×C103—21no—
80C2×SD16×C103—21no—
81C2×D8×C103—22no—
82C2×D8×C103—21no—
83C2×D8×C103—21no—
84C2×D8×C103—21no—
85C2×M16×C103—21no—
86C22×C8×C103—21no—
87C4⋊Q8×C103D411yescharacteristic
88C4⋊Q8×C103C2311yescharacteristic
89C4⋊Q8×C103C2311yescharacteristic
90#127×C103—22no—
91#127×C103—21no—
92#127×C103D411yescharacteristic
93#127×C103C2311yescharacteristic
94#127×C103C2311yescharacteristic
95#126×C103—22no—
96#126×C103—22no—
97#126×C103—21no—
98#125×C103D411yescharacteristic
99#124×C103—22no—
100#124×C103—21no—
101#124×C103—21no—
102#124×C103—21no—
103#124×C103—21no—
104#124×C103D411yescharacteristic
105#123×C103—22no—
106#123×C103—22no—
107#123×C103—21no—
108#123×C103—22no—
109C22⋊Q8×C103—22no—
110C22⋊Q8×C103—21no—
111C22⋊Q8×C103—21no—
112C22⋊Q8×C103D411yescharacteristic
113#121×C103—22no—
114#121×C103—22no—
115#121×C103—22no—
116#121×C103—22no—
117#121×C103—22no—
118#121×C103—21no—
119#121×C103—22no—
120#121×C103—21no—
121#121×C103—21no—
122#121×C103—21no—
123#121×C103—21no—
124#121×C103—21no—
125#121×C103—21no—
126#121×C103—21no—
127#121×C103D411yescharacteristic
128#121×C103D411yescharacteristic
129#121×C103D411yescharacteristic
130#121×C103D412yes—
131#120×C103—22no—
132#120×C103—22no—
133#120×C103—22no—
134#120×C103—22no—
135C4×Q8×C103—21no—
136C4×Q8×C103C2311yescharacteristic
137C4×D4×C103—22no—
138C4×D4×C103—21no—
139C4×D4×C103—21no—
140C4×D4×C103—21no—
141C4×D4×C103—21no—
142C4×D4×C103—21no—
143C4×D4×C103—21no—
144C4×D4×C103D412yes—
145C4×D4×C103C2311yescharacteristic
146C4×D4×C103C2311yescharacteristic
147C4×D4×C103C2311yescharacteristic
148#117×C103—21no—
149#117×C103—21no—
150C2×C4⋊C4×C103—21no—
151C2×C22⋊C4×C103—22no—
152C2×C42×C103C2311yescharacteristic
153#107×C103—21no—
154#107×C103—21no—
155#106×C103—22no—
156C4⋊C8×C103—21no—
157C4⋊C8×C103C2311yescharacteristic
158C4⋊C8×C103C2311yescharacteristic
159C4⋊C8×C103C2311yescharacteristic
160C4⋊C8×C103C2311yescharacteristic
161#103×C103—21no—
162#103×C103—21no—
163#102×C103—22no—
164#102×C103—21no—
165#102×C103—21no—
166#102×C103—22no—
167#102×C103—21no—
168#102×C103—21no—
169#102×C103—21no—
170#102×C103—21no—
171C22⋊C8×C103—21no—
172#97×C103—21no—
173C4×C8×C103—21no—
174C4×C8×C103C2311yescharacteristic
175C4×C8×C103C2311yescharacteristic
176C24×C103—22no—
177#41×C103—81no—
178#41×C103—81no—
179#41×C103—81no—
180#41×C103—81no—
181#41×C103—81no—
182#41×C103—81no—
183#41×C103—81no—
184#41×C103—81no—
185#41×C103—81no—
186#41×C103—81no—
187C2×Q8×C103—21no—
188C2×Q8×C103—21no—
189C2×Q8×C103—21no—
190C2×Q8×C103C2×D411yescharacteristic
191C2×D4×C103—22no—
192C2×D4×C103—22no—
193C2×D4×C103—22no—
194C2×D4×C103—22no—
195C2×D4×C103—22no—
196C2×D4×C103—21no—
197C2×D4×C103—21no—
198C2×D4×C103—22no—
199C2×D4×C103—21no—
200C2×D4×C103—21no—
201C2×D4×C103—21no—
202C2×D4×C103—21no—
203C2×D4×C103—21no—
204C2×D4×C103—21no—
205C2×D4×C103—21no—
206C2×D4×C103—21no—
207C2×D4×C103—41no—
208C2×D4×C103—81no—
209C2×D4×C103—81no—
210C2×D4×C103—81no—
211C2×D4×C103—81no—
212C2×D4×C103C2×D411yescharacteristic
213C2×D4×C103C2×D411yescharacteristic
214C2×D4×C103C2×D411yescharacteristic
215C2×D4×C103C2×D412yes—
216C22×C4×C103—22no—
217C22×C4×C103—22no—
218C22×C4×C103—21no—
219C22×C4×C103—21no—
220C22×C4×C103—21no—
221C22×C4×C103—22no—
222C22×C4×C103—41no—
223C22×C4×C103C2×D411yescharacteristic
224C22×C4×C103C2×D411yescharacteristic
225C22×C4×C103C2×D411yescharacteristic
226Q16×C103—81no—
227SD16×C103—81no—
228SD16×C103—81no—
229D8×C103—44no—
230D8×C103—81no—
231D8×C103—81no—
232D8×C103—81no—
233M16×C103—42no—
234C2×C8×C103—21no—
235C2×C8×C103—21no—
236C2×C8×C103—21no—
237C2×C8×C103—21no—
238C2×C8×C103—21no—
239C2×C8×C103—21no—
240C2×C8×C103—81no—
241C4⋊C4×C103—22no—
242C4⋊C4×C103—22no—
243C4⋊C4×C103—21no—
244C4⋊C4×C103—21no—
245C4⋊C4×C103—21no—
246C4⋊C4×C103—21no—
247C4⋊C4×C103—21no—
248C4⋊C4×C103—21no—
249C4⋊C4×C103—21no—
250C4⋊C4×C103—21no—
251C4⋊C4×C103C2×D411yescharacteristic
252C4⋊C4×C103C2×D411yescharacteristic
253C4⋊C4×C103C2×D412yes—
254C4⋊C4×C103C2×D411yescharacteristic
255C4⋊C4×C103C2×D411yescharacteristic
256C22⋊C4×C103—22no—
257C22⋊C4×C103—22no—
258C22⋊C4×C103—22no—
259C22⋊C4×C103—22no—
260C22⋊C4×C103—22no—
261C22⋊C4×C103—21no—
262C22⋊C4×C103—21no—
263C22⋊C4×C103—21no—
264C22⋊C4×C103—21no—
265C22⋊C4×C103—21no—
266C22⋊C4×C103—21no—
267C22⋊C4×C103—22no—
268C22⋊C4×C103—22no—
269C22⋊C4×C103—21no—
270C22⋊C4×C103—21no—
271C22⋊C4×C103—21no—
272C22⋊C4×C103—41no—
273C22⋊C4×C103—41no—
274C42×C103—22no—
275C42×C103—21no—
276C42×C103C2×D411yescharacteristic
277C42×C103C2×D411yescharacteristic
278C42×C103C2×D411yescharacteristic
279C42×C103C2411yescharacteristic
280C23×C103—21no—
281C23×C103—21no—
282C23×C103—22no—
283C23×C103—21no—
284C23×C103—41no—
285C23×C103—82no—
286C23×C103—82no—
287C23×C103—82no—
288C23×C103#12011yescharacteristic
289Q8×C103—21no—
290Q8×C103—21no—
291Q8×C103—41no—
292Q8×C103—41no—
293Q8×C103—41no—
294Q8×C103—41no—
295Q8×C103—81no—
296D4×C103—21no—
297D4×C103—21no—
298D4×C103—21no—
299D4×C103—21no—
300D4×C103—21no—
301D4×C103—21no—
302D4×C103—42no—
303D4×C103—42no—
304D4×C103—41no—
305D4×C103—41no—
306D4×C103—41no—
307D4×C103—41no—
308D4×C103—41no—
309D4×C103—41no—
310D4×C103—41no—
311D4×C103—41no—
312D4×C103—81no—
313D4×C103—81no—
314D4×C103—81no—
315D4×C103—81no—
316D4×C103—81no—
317D4×C103—82no—
318D4×C103—82no—
319D4×C103—82no—
320D4×C103—82no—
321D4×C103—82no—
322D4×C103—82no—
323D4×C103—82no—
324C2×C4×C103—21no—
325C2×C4×C103—21no—
326C2×C4×C103—21no—
327C2×C4×C103—21no—
328C2×C4×C103—21no—
329C2×C4×C103—21no—
330C2×C4×C103—21no—
331C2×C4×C103—22no—
332C2×C4×C103—21no—
333C2×C4×C103—21no—
334C2×C4×C103—41no—
335C2×C4×C103—41no—
336C2×C4×C103—41no—
337C2×C4×C103—41no—
338C2×C4×C103—41no—
339C2×C4×C103—41no—
340C2×C4×C103—41no—
341C2×C4×C103—41no—
342C2×C4×C103—82no—
343C2×C4×C103—82no—
344C2×C4×C103—82no—
345C2×C4×C103—82no—
346C2×C4×C103#12011yescharacteristic
347C2×C4×C103#12011yescharacteristic
348C2×C4×C103#12011yescharacteristic
349C2×C4×C103C22×D411yescharacteristic
350C2×C4×C103C22×D411yescharacteristic
351C2×C4×C103C22×D411yescharacteristic
352C8×C103—22no—
353C8×C103—41no—
354C8×C103—41no—
355C8×C103—41no—
356C8×C103—41no—
357C8×C103—41no—
358C22×C103—21no—
359C22×C103—21no—
360C22×C103—21no—
361C22×C103—41no—
362C22×C103—41no—
363C22×C103—42no—
364C22×C103—41no—
365C22×C103—41no—
366C22×C103—41no—
367C22×C103—42no—
368C22×C103—41no—
369C22×C103—42no—
370C22×C103—41no—
371C22×C103—41no—
372C22×C103—41no—
373C22×C103—81no—
374C22×C103—81no—
375C22×C103—81no—
376C22×C103—164no—
377C22×C103C2×#12011yescharacteristic
378C4×C103—21no—
379C4×C103—21no—
380C4×C103—21no—
381C4×C103—21no—
382C4×C103—41no—
383C4×C103—41no—
384C4×C103—41no—
385C4×C103—41no—
386C4×C103—42no—
387C4×C103—41no—
388C4×C103—81no—
389C4×C103#57611yescharacteristic
390C4×C103#57611yescharacteristic
391C4×C103#57611yescharacteristic
392C4×C103#57711yescharacteristic
393#18738C10311yesmaximal, characteristic, direct product factor, Sylow
394C2×C103—41no—
395C2×C103—81no—
396C2×C103—82no—
397C2×C103—81no—
398C2×C103—81no—
399C2×C103—161no—
400C2×C103#300811yescharacteristic
401C2×C103#301211yescharacteristic
402C2×C103#301811yescharacteristic
403#3546C2×C10311yescharacteristic, complemented
404#3245C2×C10311yescharacteristic, complemented
405#3212C2×C10311yescharacteristic, complemented
406#3184C2×C10311yescharacteristic, complemented
407#1654C2×C10311yescharacteristic, complemented
408#1652C2×C10311yescharacteristic, complemented
409#1641C2×C10311yescharacteristic, complemented
410#1639C2×C10311yescharacteristic, complemented
411#1628C2×C10311yescharacteristic, complemented
412#1625C2×C10311yescharacteristic, complemented
413#1621C2×C10311yescharacteristic, complemented
414#1619C2×C10311yescharacteristic, complemented
415#1540C2×C10311yescharacteristic, complemented
416#1484C2×C10311yescharacteristic, complemented
417#1483C2×C10311yescharacteristic, complemented
418C103#1873811yescharacteristic, direct product factor, Sylow
419#560—22no—
420#556C22×C10311yescharacteristic
421#553—21no—
422#550—21no—
423#550C22×C10311yescharacteristic
424#547C22×C10311yescharacteristic
425#546—21no—
426#546—21no—
427D42C22×C10311yescharacteristic
428#542—21no—
429#538—22no—
430#537—21no—
431#535—21no—
432#535—21no—
433#532C22×C10311yescharacteristic
434#532C22×C10311yescharacteristic
435#532C22×C10311yescharacteristic, complemented
436#529C22×C10311yescharacteristic
437#498C22×C10311yescharacteristic, complemented
438#495—21no—
439#493C22×C10311yescharacteristic
440#488—21no—
441#486C22×C10311yescharacteristic
442#486C22×C10311yescharacteristic, complemented
443#474—21no—
444#474C22×C10311yescharacteristic
445#474C22×C10311yescharacteristic, complemented
446#469—22no—
447#466—21no—
448#466—21no—
449#462C22×C10311yescharacteristic, complemented
450#461C22×C10311yescharacteristic
451#460C22×C10311yescharacteristic, complemented
452#459—21no—
453#459C22×C10311yescharacteristic
454#459C22×C10311yescharacteristic
455#459C22×C10311yescharacteristic, complemented
456#452—21no—
457#449—21no—
458#442—22no—
459#431C22×C10311yescharacteristic, complemented
460C2×C4⋊C8C22×C10311yescharacteristic, complemented
461C4×M16C22×C10311yescharacteristic, complemented
462#332C22×C10311yescharacteristic, complemented
463#332C22×C10311yescharacteristic, complemented
464#331C22×C10311yescharacteristic
465#331C22×C10311yescharacteristic
466Q8⋊C8C22×C10311yescharacteristic, complemented
467Q8⋊C8C22×C10311yescharacteristic, complemented
468D4⋊C8C22×C10311yescharacteristic
469D4⋊C8C22×C10311yescharacteristic
470D4⋊C8C22×C10311yescharacteristic
471D4⋊C8C22×C10311yescharacteristic
472D4⋊C8C22×C10311yescharacteristic, complemented
473D4⋊C8C22×C10311yescharacteristic, complemented
474C2×#41—21no—
475C2×#41—21no—
476C2×#41—21no—
477C2×#41—21no—
478C2×#41—21no—
479C22×D4—21no—
480C22×D4—21no—
481C2×Q16—21no—
482C2×SD16—21no—
483C2×SD16—21no—
484C2×D8—22no—
485C2×D8—21no—
486C2×D8—21no—
487C2×D8—21no—
488C2×M16—21no—
489C22×C8—21no—
490C4⋊Q8D4×C10311yescharacteristic
491C4⋊Q8C23×C10311yescharacteristic
492C4⋊Q8C23×C10311yescharacteristic
493#127—22no—
494#127—21no—
495#127D4×C10311yescharacteristic
496#127C23×C10311yescharacteristic
497#127C23×C10311yescharacteristic
498#126—22no—
499#126—22no—
500#126—21no—
501#125D4×C10311yescharacteristic
502#124—22no—
503#124—21no—
504#124—21no—
505#124—21no—
506#124—21no—
507#124D4×C10311yescharacteristic
508#123—22no—
509#123—22no—
510#123—21no—
511#123—22no—
512C22⋊Q8—22no—
513C22⋊Q8—21no—
514C22⋊Q8—21no—
515C22⋊Q8D4×C10311yescharacteristic
516#121—22no—
517#121—22no—
518#121—22no—
519#121—22no—
520#121—22no—
521#121—21no—
522#121—22no—
523#121—21no—
524#121—21no—
525#121—21no—
526#121—21no—
527#121—21no—
528#121—21no—
529#121—21no—
530#121D4×C10311yescharacteristic
531#121D4×C10311yescharacteristic
532#121D4×C10311yescharacteristic
533#121D4×C10312yes—
534#120—22no—
535#120—22no—
536#120—22no—
537#120—22no—
538C4×Q8—21no—
539C4×Q8C23×C10311yescharacteristic
540C4×D4—22no—
541C4×D4—21no—
542C4×D4—21no—
543C4×D4—21no—
544C4×D4—21no—
545C4×D4—21no—
546C4×D4—21no—
547C4×D4D4×C10312yes—
548C4×D4C23×C10311yescharacteristic
549C4×D4C23×C10311yescharacteristic
550C4×D4C23×C10311yescharacteristic
551#117—21no—
552#117—21no—
553C2×C4⋊C4—21no—
554C2×C22⋊C4—22no—
555C2×C42C23×C10311yescharacteristic
556#107—21no—
557#107—21no—
558#106—22no—
559C4⋊C8—21no—
560C4⋊C8C23×C10311yescharacteristic
561C4⋊C8C23×C10311yescharacteristic
562C4⋊C8C23×C10311yescharacteristic
563C4⋊C8C23×C10311yescharacteristic
564#103—21no—
565#103—21no—
566#102—22no—
567#102—21no—
568#102—21no—
569#102—22no—
570#102—21no—
571#102—21no—
572#102—21no—
573#102—21no—
574C22⋊C8—21no—
575#97—21no—
576C4×C8—21no—
577C4×C8C23×C10311yescharacteristic
578C4×C8C23×C10311yescharacteristic
579C24—22no—
580#41—81no—
581#41—81no—
582#41—81no—
583#41—81no—
584#41—81no—
585#41—81no—
586#41—81no—
587#41—81no—
588#41—81no—
589#41—81no—
590C2×Q8—21no—
591C2×Q8—21no—
592C2×Q8—21no—
593C2×Q8C2×D4×C10311yescharacteristic
594C2×D4—22no—
595C2×D4—22no—
596C2×D4—22no—
597C2×D4—22no—
598C2×D4—22no—
599C2×D4—21no—
600C2×D4—21no—
601C2×D4—22no—
602C2×D4—21no—
603C2×D4—21no—
604C2×D4—21no—
605C2×D4—21no—
606C2×D4—21no—
607C2×D4—21no—
608C2×D4—21no—
609C2×D4—21no—
610C2×D4—41no—
611C2×D4—81no—
612C2×D4—81no—
613C2×D4—81no—
614C2×D4—81no—
615C2×D4C2×D4×C10311yescharacteristic
616C2×D4C2×D4×C10311yescharacteristic
617C2×D4C2×D4×C10311yescharacteristic
618C2×D4C2×D4×C10312yes—
619C22×C4—22no—
620C22×C4—22no—
621C22×C4—21no—
622C22×C4—21no—
623C22×C4—21no—
624C22×C4—22no—
625C22×C4—41no—
626C22×C4C2×D4×C10311yescharacteristic
627C22×C4C2×D4×C10311yescharacteristic
628C22×C4C2×D4×C10311yescharacteristic
629Q16—81no—
630SD16—81no—
631SD16—81no—
632D8—44no—
633D8—81no—
634D8—81no—
635D8—81no—
636M16—42no—
637C2×C8—21no—
638C2×C8—21no—
639C2×C8—21no—
640C2×C8—21no—
641C2×C8—21no—
642C2×C8—21no—
643C2×C8—81no—
644C4⋊C4—22no—
645C4⋊C4—22no—
646C4⋊C4—21no—
647C4⋊C4—21no—
648C4⋊C4—21no—
649C4⋊C4—21no—
650C4⋊C4—21no—
651C4⋊C4—21no—
652C4⋊C4—21no—
653C4⋊C4—21no—
654C4⋊C4C2×D4×C10311yescharacteristic
655C4⋊C4C2×D4×C10311yescharacteristic
656C4⋊C4C2×D4×C10312yes—
657C4⋊C4C2×D4×C10311yescharacteristic
658C4⋊C4C2×D4×C10311yescharacteristic
659C22⋊C4—22no—
660C22⋊C4—22no—
661C22⋊C4—22no—
662C22⋊C4—22no—
663C22⋊C4—22no—
664C22⋊C4—21no—
665C22⋊C4—21no—
666C22⋊C4—21no—
667C22⋊C4—21no—
668C22⋊C4—21no—
669C22⋊C4—21no—
670C22⋊C4—22no—
671C22⋊C4—22no—
672C22⋊C4—21no—
673C22⋊C4—21no—
674C22⋊C4—21no—
675C22⋊C4—41no—
676C22⋊C4—41no—
677C42—22no—
678C42—21no—
679C42C2×D4×C10311yescharacteristic
680C42C2×D4×C10311yescharacteristic
681C42C2×D4×C10311yescharacteristic
682C42C24×C10311yescharacteristic
683C23—21no—
684C23—21no—
685C23—22no—
686C23—21no—
687C23—41no—
688C23—82no—
689C23—82no—
690C23—82no—
691C23#120×C10311yescharacteristic
692Q8—21no—
693Q8—21no—
694Q8—41no—
695Q8—41no—
696Q8—41no—
697Q8—41no—
698Q8—81no—
699D4—21no—
700D4—21no—
701D4—21no—
702D4—21no—
703D4—21no—
704D4—21no—
705D4—42no—
706D4—42no—
707D4—41no—
708D4—41no—
709D4—41no—
710D4—41no—
711D4—41no—
712D4—41no—
713D4—41no—
714D4—41no—
715D4—81no—
716D4—81no—
717D4—81no—
718D4—81no—
719D4—82no—
720D4—81no—
721D4—82no—
722D4—82no—
723D4—82no—
724D4—82no—
725D4—82no—
726D4—82no—
727C2×C4—21no—
728C2×C4—21no—
729C2×C4—21no—
730C2×C4—21no—
731C2×C4—21no—
732C2×C4—21no—
733C2×C4—21no—
734C2×C4—22no—
735C2×C4—21no—
736C2×C4—21no—
737C2×C4—41no—
738C2×C4—41no—
739C2×C4—41no—
740C2×C4—41no—
741C2×C4—41no—
742C2×C4—41no—
743C2×C4—41no—
744C2×C4—41no—
745C2×C4—82no—
746C2×C4—82no—
747C2×C4—82no—
748C2×C4—82no—
749C2×C4#120×C10311yescharacteristic
750C2×C4#120×C10311yescharacteristic
751C2×C4#120×C10311yescharacteristic
752C2×C4C22×D4×C10311yescharacteristic
753C2×C4C22×D4×C10311yescharacteristic
754C2×C4C22×D4×C10311yescharacteristic
755C8—22no—
756C8—41no—
757C8—41no—
758C8—41no—
759C8—41no—
760C8—41no—
761C22—21no—
762C22—21no—
763C22—21no—
764C22—41no—
765C22—41no—
766C22—42no—
767C22—41no—
768C22—41no—
769C22—41no—
770C22—42no—
771C22—41no—
772C22—42no—
773C22—41no—
774C22—41no—
775C22—41no—
776C22—81no—
777C22—81no—
778C22—81no—
779C22—164no—
780C22C2×#120×C10311yescharacteristic
781C4—21no—
782C4—21no—
783C4—21no—
784C4—21no—
785C4—41no—
786C4—41no—
787C4—41no—
788C4—41no—
789C4—42no—
790C4—41no—
791C4—81no—
792C4#576×C10311yescharacteristic
793C4#576×C10311yescharacteristic
794C4#576×C10311yescharacteristic
795C4#577×C10311yescharacteristic
796C2—41no—
797C2—81no—
798C2—81no—
799C2—82no—
800C2—81no—
801C2—161no—
802C2C103×#300811yescharacteristic
803C2C103×#301211yescharacteristic
804C2C103×#301811yescharacteristic
subgroupG/H
center, socleC22×C103C2×#120
commutator, Frattini, cosocleC42C24×C103
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C103 ◁ C2×C42×C103 ◁ G

Complements

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

NH ≅ G/Ntype
1. C103×#3546C2semidirect
2. C103×#3245C2semidirect
3. C103×#3212C2semidirect
4. C103×#3184C2semidirect
5. C103×#1654C2semidirect
6. C103×#1652C2semidirect
7. C103×#1641C2semidirect
8. C103×#1639C2semidirect
9. C103×#1628C2semidirect
10. C103×#1625C2semidirect
11. C103×#1621C2semidirect
12. C103×#1619C2semidirect
13. C103×#1540C2semidirect
14. C103×#1484C2semidirect
15. C103×#1483C2semidirect
32. #532×C103C22semidirect
34. #498×C103C22semidirect
39. #486×C103C22semidirect
42. #474×C103C22semidirect
46. #462×C103C22semidirect
48. #460×C103C22semidirect
52. #459×C103C22semidirect
56. #431×C103C22semidirect
57. C2×C4⋊C8×C103C22semidirect
58. C4×M16×C103C22semidirect
59. #332×C103C22semidirect
60. #332×C103C22semidirect
63. Q8⋊C8×C103C22semidirect
64. Q8⋊C8×C103C22semidirect
69. D4⋊C8×C103C22semidirect
70. D4⋊C8×C103C22semidirect
393. #18738C103direct (N × H)
403. #3546C2×C103semidirect
404. #3245C2×C103semidirect
405. #3212C2×C103semidirect
406. #3184C2×C103semidirect
407. #1654C2×C103semidirect
408. #1652C2×C103semidirect
409. #1641C2×C103semidirect
410. #1639C2×C103semidirect
411. #1628C2×C103semidirect
412. #1625C2×C103semidirect
413. #1621C2×C103semidirect
414. #1619C2×C103semidirect
415. #1540C2×C103semidirect
416. #1484C2×C103semidirect
417. #1483C2×C103semidirect
418. C103#18738direct (N × H)
435. #532C22×C103semidirect
437. #498C22×C103semidirect
442. #486C22×C103semidirect
445. #474C22×C103semidirect
449. #462C22×C103semidirect
451. #460C22×C103semidirect
455. #459C22×C103semidirect
459. #431C22×C103semidirect
460. C2×C4⋊C8C22×C103semidirect
461. C4×M16C22×C103semidirect
462. #332C22×C103semidirect
463. #332C22×C103semidirect
466. Q8⋊C8C22×C103semidirect
467. Q8⋊C8C22×C103semidirect
472. D4⋊C8C22×C103semidirect
473. D4⋊C8C22×C103semidirect

Maximal subgroups

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

subgroupindex
C103×#35462
C103×#32452
C103×#32122
C103×#31842
C103×#16542
C103×#16522
C103×#16412
C103×#16392
C103×#16282
C103×#16252
C103×#16212
C103×#16192
C103×#15402
C103×#14842
C103×#14832
#18738103