Finite Group Databasebeta

← C103×#18672 #39923947

Subgroups — C103×#18672 #39923947

Order 26368.

906 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C103×#3518C211yesmaximal, characteristic, complemented
2C103×#3212C211yesmaximal, characteristic, complemented
3C103×#3167C211yesmaximal, characteristic, complemented
4C103×#3115C211yesmaximal, characteristic, complemented
5C103×#1652C211yesmaximal, characteristic, complemented
6C103×#1651C211yesmaximal, characteristic, complemented
7C103×#1646C211yesmaximal, characteristic, complemented
8C103×#1645C211yesmaximal, characteristic, complemented
9C103×#1628C211yesmaximal, characteristic, complemented
10C103×#1627C211yesmaximal, characteristic, complemented
11C103×#1624C211yesmaximal, characteristic, complemented
12C103×#1623C211yesmaximal, characteristic, complemented
13C103×#1554C211yesmaximal, characteristic, complemented
14C103×#1494C211yesmaximal, characteristic, complemented
15C103×#1476C211yesmaximal, characteristic, complemented
16Q82×C103C2211yescharacteristic
17#556×C103—21no—
18#556×C103—22no—
19#556×C103—21no—
20#556×C103C2211yescharacteristic
21#555×C103—21no—
22#555×C103C2211yescharacteristic
23D4×Q8×C103C2211yescharacteristic
24#548×C103—21no—
25#542×C103—22no—
26#542×C103—21no—
27#533×C103—21no—
28#533×C103C2211yescharacteristic
29#532×C103C2211yescharacteristic
30#529×C103—21no—
31#529×C103C2211yescharacteristic
32#519×C103—21no—
33C4×#41×C103C2211yescharacteristic
34#498×C103C2211yescharacteristic
35#495×C103—21no—
36#492×C103C2211yescharacteristic
37#488×C103—21no—
38#487×C103C2211yescharacteristic
39#486×C103C2211yescharacteristic
40#482×C103—21no—
41#475×C103C2211yescharacteristic
42#474×C103C2211yescharacteristic
43#465×C103—22no—
44#462×C103C2211yescharacteristic
45#461×C103C2211yescharacteristic
46#460×C103C2211yescharacteristic
47#460×C103C2211yescharacteristic
48#459×C103C2211yescharacteristic
49#459×C103C2211yescharacteristic
50#452×C103—21no—
51#449×C103—21no—
52#449×C103—21no—
53#442×C103—21no—
54#440×C103—21no—
55C4×SD16×C103—22no—
56#432×C103C2211yescharacteristic
57#431×C103C2211yescharacteristic
58C2×C4×C8×C103C2211yescharacteristic
59#333×C103C2211yescharacteristic
60#333×C103C2211yescharacteristic
61#332×C103C2211yescharacteristic
62#332×C103C2211yescharacteristic
63Q8⋊C8×C103C2211yescharacteristic
64Q8⋊C8×C103C2211yescharacteristic
65Q8⋊C8×C103C2211yescharacteristic
66Q8⋊C8×C103C2211yescharacteristic
67D4⋊C8×C103C2211yescharacteristic
68D4⋊C8×C103C2211yescharacteristic
69D4⋊C8×C103C2211yescharacteristic
70D4⋊C8×C103C2211yescharacteristic
71C2×#41×C103—21no—
72C2×#41×C103D411yescharacteristic
73C22×Q8×C103—21no—
74C2×Q16×C103—21no—
75C2×SD16×C103—22no—
76C2×SD16×C103—21no—
77C2×SD16×C103—21no—
78C2×SD16×C103—21no—
79C2×D8×C103—21no—
80C2×D8×C103—21no—
81C22×C8×C103—21no—
82C4⋊Q8×C103—22no—
83C4⋊Q8×C103—21no—
84C4⋊Q8×C103—21no—
85C4⋊Q8×C103—21no—
86C4⋊Q8×C103C2311yescharacteristic
87C4⋊Q8×C103C2311yescharacteristic
88C4⋊Q8×C103C2311yescharacteristic
89#127×C103C2311yescharacteristic
90#126×C103—22no—
91#126×C103—22no—
92#126×C103—22no—
93#126×C103—22no—
94#126×C103—21no—
95#125×C103—21no—
96#125×C103D411yescharacteristic
97#124×C103—22no—
98#124×C103—22no—
99#124×C103—22no—
100#124×C103—22no—
101#124×C103—21no—
102#124×C103—21no—
103#124×C103D411yescharacteristic
104#123×C103—22no—
105#123×C103—21no—
106C22⋊Q8×C103—22no—
107C22⋊Q8×C103—22no—
108C22⋊Q8×C103—21no—
109C22⋊Q8×C103—21no—
110C22⋊Q8×C103—21no—
111C22⋊Q8×C103—22no—
112C22⋊Q8×C103D411yescharacteristic
113C22⋊Q8×C103D412yes—
114#121×C103—22no—
115#121×C103—21no—
116#121×C103—21no—
117#121×C103—21no—
118#121×C103—21no—
119#121×C103D411yescharacteristic
120C4×Q8×C103—22no—
121C4×Q8×C103—22no—
122C4×Q8×C103—22no—
123C4×Q8×C103—21no—
124C4×Q8×C103—21no—
125C4×Q8×C103—21no—
126C4×Q8×C103—21no—
127C4×Q8×C103D412yes—
128C4×Q8×C103D411yescharacteristic
129C4×Q8×C103C2311yescharacteristic
130C4×Q8×C103C2311yescharacteristic
131C4×D4×C103—22no—
132C4×D4×C103—21no—
133C4×D4×C103—21no—
134C4×D4×C103—21no—
135C4×D4×C103—21no—
136C4×D4×C103—21no—
137C4×D4×C103—21no—
138C4×D4×C103D411yescharacteristic
139C4×D4×C103C2311yescharacteristic
140C4×D4×C103C2311yescharacteristic
141#117×C103—22no—
142#117×C103—22no—
143#117×C103—21no—
144#117×C103—21no—
145#117×C103—21no—
146#117×C103—21no—
147#117×C103—21no—
148#117×C103—21no—
149#117×C103D411yescharacteristic
150C2×C42×C103—21no—
151C2×C42×C103C2311yescharacteristic
152#107×C103—21no—
153#106×C103—22no—
154#106×C103—21no—
155C4⋊C8×C103C2311yescharacteristic
156C4⋊C8×C103C2311yescharacteristic
157C4⋊C8×C103C2311yescharacteristic
158C4⋊C8×C103C2311yescharacteristic
159#103×C103—22no—
160#103×C103—21no—
161#103×C103—21no—
162#103×C103—21no—
163#102×C103—21no—
164#102×C103—22no—
165#102×C103—21no—
166#102×C103—21no—
167#102×C103—21no—
168#102×C103—21no—
169C22⋊C8×C103—21no—
170C22⋊C8×C103—21no—
171#97×C103—21no—
172C4×C8×C103—21no—
173C4×C8×C103—21no—
174C4×C8×C103C2311yescharacteristic
175C4×C8×C103C2311yescharacteristic
176#41×C103—22no—
177#41×C103—41no—
178#41×C103—81no—
179#41×C103—81no—
180C2×Q8×C103—22no—
181C2×Q8×C103—22no—
182C2×Q8×C103—21no—
183C2×Q8×C103—21no—
184C2×Q8×C103—42no—
185C2×Q8×C103—42no—
186C2×Q8×C103C2×D411yescharacteristic
187C2×Q8×C103C2×D411yescharacteristic
188C2×Q8×C103C2×D412yes—
189C2×D4×C103—21no—
190C2×D4×C103—22no—
191C2×D4×C103—21no—
192C2×D4×C103—21no—
193C2×D4×C103—21no—
194C2×D4×C103—21no—
195C2×D4×C103—41no—
196C2×D4×C103C2×D411yescharacteristic
197C2×D4×C103C2×D411yescharacteristic
198C22×C4×C103—22no—
199C22×C4×C103—21no—
200C22×C4×C103—21no—
201C22×C4×C103—21no—
202C22×C4×C103—21no—
203C22×C4×C103—41no—
204C22×C4×C103C2×D411yescharacteristic
205C22×C4×C103C2×D411yescharacteristic
206C22×C4×C103C2×D411yescharacteristic
207Q16×C103—81no—
208SD16×C103—44no—
209SD16×C103—42no—
210SD16×C103—81no—
211SD16×C103—81no—
212D8×C103—42no—
213D8×C103—81no—
214C2×C8×C103—21no—
215C2×C8×C103—21no—
216C2×C8×C103—21no—
217C2×C8×C103—21no—
218C2×C8×C103—21no—
219C2×C8×C103—21no—
220C2×C8×C103—42no—
221C4⋊C4×C103—22no—
222C4⋊C4×C103—22no—
223C4⋊C4×C103—22no—
224C4⋊C4×C103—22no—
225C4⋊C4×C103—21no—
226C4⋊C4×C103—21no—
227C4⋊C4×C103—22no—
228C4⋊C4×C103—21no—
229C4⋊C4×C103—21no—
230C4⋊C4×C103—22no—
231C4⋊C4×C103—21no—
232C4⋊C4×C103—21no—
233C4⋊C4×C103—21no—
234C4⋊C4×C103—21no—
235C4⋊C4×C103—21no—
236C4⋊C4×C103—21no—
237C4⋊C4×C103—21no—
238C4⋊C4×C103C2×D411yescharacteristic
239C4⋊C4×C103C2×D411yescharacteristic
240C4⋊C4×C103C2×D411yescharacteristic
241C4⋊C4×C103C2×D412yes—
242C4⋊C4×C103C2×D411yescharacteristic
243C22⋊C4×C103—22no—
244C22⋊C4×C103—22no—
245C22⋊C4×C103—22no—
246C22⋊C4×C103—22no—
247C22⋊C4×C103—22no—
248C22⋊C4×C103—22no—
249C22⋊C4×C103—21no—
250C22⋊C4×C103—21no—
251C22⋊C4×C103—21no—
252C22⋊C4×C103—21no—
253C22⋊C4×C103—21no—
254C22⋊C4×C103—21no—
255C22⋊C4×C103—21no—
256C22⋊C4×C103—21no—
257C22⋊C4×C103—41no—
258C22⋊C4×C103—41no—
259C42×C103—22no—
260C42×C103—22no—
261C42×C103—22no—
262C42×C103—21no—
263C42×C103—21no—
264C42×C103—22no—
265C42×C103—21no—
266C42×C103—21no—
267C42×C103C2×D411yescharacteristic
268C42×C103C2×D411yescharacteristic
269C42×C103C2×D411yescharacteristic
270C42×C103C2411yescharacteristic
271C23×C103—21no—
272C23×C103—21no—
273C23×C103—41no—
274C23×C103#12011yescharacteristic
275Q8×C103—21no—
276Q8×C103—21no—
277Q8×C103—21no—
278Q8×C103—42no—
279Q8×C103—44no—
280Q8×C103—41no—
281Q8×C103—41no—
282Q8×C103—41no—
283Q8×C103—41no—
284Q8×C103—82no—
285Q8×C103#13512yes—
286D4×C103—21no—
287D4×C103—21no—
288D4×C103—21no—
289D4×C103—21no—
290D4×C103—42no—
291D4×C103—42no—
292D4×C103—41no—
293D4×C103—41no—
294D4×C103—41no—
295D4×C103—41no—
296D4×C103—81no—
297D4×C103—82no—
298D4×C103—82no—
299C2×C4×C103—21no—
300C2×C4×C103—21no—
301C2×C4×C103—21no—
302C2×C4×C103—21no—
303C2×C4×C103—21no—
304C2×C4×C103—21no—
305C2×C4×C103—21no—
306C2×C4×C103—22no—
307C2×C4×C103—21no—
308C2×C4×C103—21no—
309C2×C4×C103—22no—
310C2×C4×C103—21no—
311C2×C4×C103—41no—
312C2×C4×C103—42no—
313C2×C4×C103—44no—
314C2×C4×C103—41no—
315C2×C4×C103—41no—
316C2×C4×C103—41no—
317C2×C4×C103—41no—
318C2×C4×C103—41no—
319C2×C4×C103—81no—
320C2×C4×C103—82no—
321C2×C4×C103#12011yescharacteristic
322C2×C4×C103#12011yescharacteristic
323C2×C4×C103#12011yescharacteristic
324C2×C4×C103C22×D411yescharacteristic
325C2×C4×C103C22×D411yescharacteristic
326C2×C4×C103C22×D411yescharacteristic
327C8×C103—22no—
328C8×C103—41no—
329C8×C103—41no—
330C8×C103—41no—
331C8×C103—41no—
332C8×C103—41no—
333C22×C103—21no—
334C22×C103—21no—
335C22×C103—21no—
336C22×C103—41no—
337C22×C103—41no—
338C22×C103—41no—
339C22×C103—41no—
340C22×C103—41no—
341C22×C103—41no—
342C22×C103—81no—
343C22×C103—81no—
344C22×C103—81no—
345C22×C103C2×#12011yescharacteristic
346C4×C103—21no—
347C4×C103—22no—
348C4×C103—21no—
349C4×C103—21no—
350C4×C103—21no—
351C4×C103—42no—
352C4×C103—41no—
353C4×C103—41no—
354C4×C103—41no—
355C4×C103—41no—
356C4×C103—42no—
357C4×C103—41no—
358C4×C103—81no—
359C4×C103C2×#13511yescharacteristic
360C4×C103#57511yescharacteristic
361C4×C103#57711yescharacteristic
362C4×C103#57711yescharacteristic
363#18672C10311yesmaximal, characteristic, direct product factor, Sylow
364C2×C103—41no—
365C2×C103—81no—
366C2×C103—81no—
367C2×C103—161no—
368C2×C103#300211yescharacteristic
369C2×C103#301011yescharacteristic
370C2×C103#301811yescharacteristic
371#3518C2×C10311yescharacteristic, complemented
372#3212C2×C10311yescharacteristic, complemented
373#3167C2×C10311yescharacteristic, complemented
374#3115C2×C10311yescharacteristic, complemented
375#1652C2×C10311yescharacteristic, complemented
376#1651C2×C10311yescharacteristic, complemented
377#1646C2×C10311yescharacteristic, complemented
378#1645C2×C10311yescharacteristic, complemented
379#1628C2×C10311yescharacteristic, complemented
380#1627C2×C10311yescharacteristic, complemented
381#1624C2×C10311yescharacteristic, complemented
382#1623C2×C10311yescharacteristic, complemented
383#1554C2×C10311yescharacteristic, complemented
384#1494C2×C10311yescharacteristic, complemented
385#1476C2×C10311yescharacteristic, complemented
386C103#1867211yescharacteristic, direct product factor, Sylow
387Q82C22×C10311yescharacteristic
388#556—21no—
389#556—22no—
390#556—21no—
391#556C22×C10311yescharacteristic
392#555—21no—
393#555C22×C10311yescharacteristic
394D4×Q8C22×C10311yescharacteristic
395#548—21no—
396#542—22no—
397#542—21no—
398#533—21no—
399#533C22×C10311yescharacteristic
400#532C22×C10311yescharacteristic
401#529—21no—
402#529C22×C10311yescharacteristic
403#519—21no—
404C4×#41C22×C10311yescharacteristic
405#498C22×C10311yescharacteristic
406#495—21no—
407#492C22×C10311yescharacteristic
408#488—21no—
409#487C22×C10311yescharacteristic
410#486C22×C10311yescharacteristic
411#482—21no—
412#475C22×C10311yescharacteristic
413#474C22×C10311yescharacteristic
414#465—22no—
415#462C22×C10311yescharacteristic
416#461C22×C10311yescharacteristic
417#460C22×C10311yescharacteristic
418#460C22×C10311yescharacteristic
419#459C22×C10311yescharacteristic
420#459C22×C10311yescharacteristic
421#452—21no—
422#449—21no—
423#449—21no—
424#442—21no—
425#440—21no—
426C4×SD16—22no—
427#432C22×C10311yescharacteristic
428#431C22×C10311yescharacteristic
429C2×C4×C8C22×C10311yescharacteristic
430#333C22×C10311yescharacteristic
431#333C22×C10311yescharacteristic
432#332C22×C10311yescharacteristic
433#332C22×C10311yescharacteristic
434Q8⋊C8C22×C10311yescharacteristic
435Q8⋊C8C22×C10311yescharacteristic
436Q8⋊C8C22×C10311yescharacteristic
437Q8⋊C8C22×C10311yescharacteristic
438D4⋊C8C22×C10311yescharacteristic
439D4⋊C8C22×C10311yescharacteristic
440D4⋊C8C22×C10311yescharacteristic
441D4⋊C8C22×C10311yescharacteristic
442C2×#41—21no—
443C2×#41D4×C10311yescharacteristic
444C22×Q8—21no—
445C2×Q16—21no—
446C2×SD16—22no—
447C2×SD16—21no—
448C2×SD16—21no—
449C2×SD16—21no—
450C2×D8—21no—
451C2×D8—21no—
452C22×C8—21no—
453C4⋊Q8—22no—
454C4⋊Q8—21no—
455C4⋊Q8—21no—
456C4⋊Q8—21no—
457C4⋊Q8C23×C10311yescharacteristic
458C4⋊Q8C23×C10311yescharacteristic
459C4⋊Q8C23×C10311yescharacteristic
460#127C23×C10311yescharacteristic
461#126—22no—
462#126—22no—
463#126—22no—
464#126—22no—
465#126—21no—
466#125—21no—
467#125D4×C10311yescharacteristic
468#124—22no—
469#124—22no—
470#124—22no—
471#124—22no—
472#124—21no—
473#124—21no—
474#124D4×C10311yescharacteristic
475#123—22no—
476#123—21no—
477C22⋊Q8—22no—
478C22⋊Q8—22no—
479C22⋊Q8—21no—
480C22⋊Q8—21no—
481C22⋊Q8—21no—
482C22⋊Q8—22no—
483C22⋊Q8D4×C10311yescharacteristic
484C22⋊Q8D4×C10312yes—
485#121—22no—
486#121—21no—
487#121—21no—
488#121—21no—
489#121—21no—
490#121D4×C10311yescharacteristic
491C4×Q8—22no—
492C4×Q8—22no—
493C4×Q8—22no—
494C4×Q8—21no—
495C4×Q8—21no—
496C4×Q8—21no—
497C4×Q8—21no—
498C4×Q8D4×C10311yescharacteristic
499C4×Q8D4×C10312yes—
500C4×Q8C23×C10311yescharacteristic
501C4×Q8C23×C10311yescharacteristic
502C4×D4—22no—
503C4×D4—21no—
504C4×D4—21no—
505C4×D4—21no—
506C4×D4—21no—
507C4×D4—21no—
508C4×D4—21no—
509C4×D4D4×C10311yescharacteristic
510C4×D4C23×C10311yescharacteristic
511C4×D4C23×C10311yescharacteristic
512#117—22no—
513#117—22no—
514#117—21no—
515#117—21no—
516#117—21no—
517#117—21no—
518#117—21no—
519#117—21no—
520#117D4×C10311yescharacteristic
521C2×C42—21no—
522C2×C42C23×C10311yescharacteristic
523#107—21no—
524#106—22no—
525#106—21no—
526C4⋊C8C23×C10311yescharacteristic
527C4⋊C8C23×C10311yescharacteristic
528C4⋊C8C23×C10311yescharacteristic
529C4⋊C8C23×C10311yescharacteristic
530#103—22no—
531#103—21no—
532#103—21no—
533#103—21no—
534#102—21no—
535#102—22no—
536#102—21no—
537#102—21no—
538#102—21no—
539#102—21no—
540C22⋊C8—21no—
541C22⋊C8—21no—
542#97—21no—
543C4×C8—21no—
544C4×C8—21no—
545C4×C8C23×C10311yescharacteristic
546C4×C8C23×C10311yescharacteristic
547#41—22no—
548#41—41no—
549#41—81no—
550#41—81no—
551C2×Q8—22no—
552C2×Q8—22no—
553C2×Q8—21no—
554C2×Q8—21no—
555C2×Q8—42no—
556C2×Q8—42no—
557C2×Q8C2×D4×C10311yescharacteristic
558C2×Q8C2×D4×C10311yescharacteristic
559C2×Q8C2×D4×C10312yes—
560C2×D4—21no—
561C2×D4—22no—
562C2×D4—21no—
563C2×D4—21no—
564C2×D4—21no—
565C2×D4—21no—
566C2×D4—41no—
567C2×D4C2×D4×C10311yescharacteristic
568C2×D4C2×D4×C10311yescharacteristic
569C22×C4—22no—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—41no—
575C22×C4C2×D4×C10311yescharacteristic
576C22×C4C2×D4×C10311yescharacteristic
577C22×C4C2×D4×C10311yescharacteristic
578Q16—81no—
579SD16—44no—
580SD16—42no—
581SD16—81no—
582SD16—81no—
583D8—42no—
584D8—81no—
585C2×C8—21no—
586C2×C8—21no—
587C2×C8—21no—
588C2×C8—21no—
589C2×C8—21no—
590C2×C8—21no—
591C2×C8—42no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—22no—
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—22no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—21no—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C4⋊C4—21no—
609C4⋊C4C2×D4×C10311yescharacteristic
610C4⋊C4C2×D4×C10311yescharacteristic
611C4⋊C4C2×D4×C10311yescharacteristic
612C4⋊C4C2×D4×C10312yes—
613C4⋊C4C2×D4×C10311yescharacteristic
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—22no—
620C22⋊C4—21no—
621C22⋊C4—21no—
622C22⋊C4—21no—
623C22⋊C4—21no—
624C22⋊C4—21no—
625C22⋊C4—21no—
626C22⋊C4—21no—
627C22⋊C4—21no—
628C22⋊C4—41no—
629C22⋊C4—41no—
630C42—22no—
631C42—22no—
632C42—22no—
633C42—21no—
634C42—21no—
635C42—22no—
636C42—21no—
637C42—21no—
638C42C2×D4×C10311yescharacteristic
639C42C2×D4×C10311yescharacteristic
640C42C2×D4×C10311yescharacteristic
641C42C24×C10311yescharacteristic
642C23—21no—
643C23—21no—
644C23—41no—
645C23#120×C10311yescharacteristic
646Q8—21no—
647Q8—21no—
648Q8—21no—
649Q8—42no—
650Q8—44no—
651Q8—41no—
652Q8—41no—
653Q8—41no—
654Q8—41no—
655Q8—82no—
656Q8#135×C10312yes—
657D4—21no—
658D4—21no—
659D4—21no—
660D4—21no—
661D4—42no—
662D4—42no—
663D4—41no—
664D4—41no—
665D4—41no—
666D4—41no—
667D4—81no—
668D4—82no—
669D4—82no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—22no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—41no—
683C2×C4—42no—
684C2×C4—44no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—81no—
691C2×C4—82no—
692C2×C4#120×C10311yescharacteristic
693C2×C4#120×C10311yescharacteristic
694C2×C4#120×C10311yescharacteristic
695C2×C4C22×D4×C10311yescharacteristic
696C2×C4C22×D4×C10311yescharacteristic
697C2×C4C22×D4×C10311yescharacteristic
698C8—22no—
699C8—41no—
700C8—41no—
701C8—41no—
702C8—41no—
703C8—41no—
704C22—21no—
705C22—21no—
706C22—21no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—81no—
714C22—81no—
715C22—81no—
716C22C2×#120×C10311yescharacteristic
717C4—21no—
718C4—22no—
719C4—21no—
720C4—21no—
721C4—21no—
722C4—42no—
723C4—41no—
724C4—41no—
725C4—41no—
726C4—41no—
727C4—42no—
728C4—41no—
729C4—81no—
730C4C2×#135×C10311yescharacteristic
731C4#575×C10311yescharacteristic
732C4#577×C10311yescharacteristic
733C4#577×C10311yescharacteristic
734C2—41no—
735C2—81no—
736C2—81no—
737C2—161no—
738C2C103×#300211yescharacteristic
739C2C103×#301011yescharacteristic
740C2C103×#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×#3518C2semidirect
2. C103×#3212C2semidirect
3. C103×#3167C2semidirect
4. C103×#3115C2semidirect
5. C103×#1652C2semidirect
6. C103×#1651C2semidirect
7. C103×#1646C2semidirect
8. C103×#1645C2semidirect
9. C103×#1628C2semidirect
10. C103×#1627C2semidirect
11. C103×#1624C2semidirect
12. C103×#1623C2semidirect
13. C103×#1554C2semidirect
14. C103×#1494C2semidirect
15. C103×#1476C2semidirect
363. #18672C103direct (N × H)
371. #3518C2×C103semidirect
372. #3212C2×C103semidirect
373. #3167C2×C103semidirect
374. #3115C2×C103semidirect
375. #1652C2×C103semidirect
376. #1651C2×C103semidirect
377. #1646C2×C103semidirect
378. #1645C2×C103semidirect
379. #1628C2×C103semidirect
380. #1627C2×C103semidirect
381. #1624C2×C103semidirect
382. #1623C2×C103semidirect
383. #1554C2×C103semidirect
384. #1494C2×C103semidirect
385. #1476C2×C103semidirect
386. C103#18672direct (N × H)

Maximal subgroups

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

subgroupindex
C103×#35182
C103×#32122
C103×#31672
C103×#31152
C103×#16522
C103×#16512
C103×#16462
C103×#16452
C103×#16282
C103×#16272
C103×#16242
C103×#16232
C103×#15542
C103×#14942
C103×#14762
#18672103