Finite Group Databasebeta

← C103×#18742 #39924017

Subgroups — C103×#18742 #39924017

Order 26368.

908 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C103×#3554C211yesmaximal, characteristic, complemented
2C103×#3246C211yesmaximal, characteristic, complemented
3C103×#3212C211yesmaximal, characteristic, complemented
4C103×#3184C211yesmaximal, characteristic, complemented
5C103×#1653C211yesmaximal, characteristic, complemented
6C103×#1651C211yesmaximal, characteristic, complemented
7C103×#1642C211yesmaximal, characteristic, complemented
8C103×#1640C211yesmaximal, characteristic, complemented
9C103×#1627C211yesmaximal, characteristic, complemented
10C103×#1626C211yesmaximal, characteristic, complemented
11C103×#1621C211yesmaximal, characteristic, complemented
12C103×#1620C211yesmaximal, characteristic, complemented
13C103×#1540C211yesmaximal, characteristic, complemented
14C103×#1485C211yesmaximal, characteristic, complemented
15C103×#1483C211yesmaximal, characteristic, complemented
16#562×C103—22no—
17#559×C103—21no—
18#559×C103C2211yescharacteristic
19#557×C103C2211yescharacteristic
20#554×C103—21no—
21#550×C103C2211yescharacteristic
22D4×Q8×C103C2211yescharacteristic
23#548×C103—21no—
24#547×C103—21no—
25#542×C103—21no—
26#542×C103—21no—
27#540×C103—21no—
28#539×C103—22no—
29#536×C103—21no—
30#533×C103C2211yescharacteristic
31#532×C103C2211yescharacteristic
32#532×C103C2211yescharacteristic
33#529×C103C2211yescharacteristic
34#498×C103C2211yescharacteristic
35#495×C103—21no—
36#493×C103C2211yescharacteristic
37#488×C103—21no—
38#486×C103C2211yescharacteristic
39#486×C103C2211yescharacteristic
40#476×C103—21no—
41#475×C103C2211yescharacteristic
42#475×C103C2211yescharacteristic
43#469×C103—22no—
44#465×C103—21no—
45#465×C103—21no—
46#462×C103C2211yescharacteristic
47#461×C103—21no—
48#461×C103C2211yescharacteristic
49#460×C103C2211yescharacteristic
50#460×C103C2211yescharacteristic
51#460×C103C2211yescharacteristic
52#459×C103C2211yescharacteristic
53#452×C103—21no—
54#449×C103—21no—
55#442×C103—22no—
56#431×C103C2211yescharacteristic
57C2×C4⋊C8×C103C2211yescharacteristic
58C4×M16×C103C2211yescharacteristic
59#332×C103C2211yescharacteristic
60#332×C103C2211yescharacteristic
61#331×C103C2211yescharacteristic
62#331×C103C2211yescharacteristic
63Q8⋊C8×C103C2211yescharacteristic
64Q8⋊C8×C103C2211yescharacteristic
65Q8⋊C8×C103C2211yescharacteristic
66Q8⋊C8×C103C2211yescharacteristic
67Q8⋊C8×C103C2211yescharacteristic
68Q8⋊C8×C103C2211yescharacteristic
69D4⋊C8×C103C2211yescharacteristic
70D4⋊C8×C103C2211yescharacteristic
71C2×#41×C103—21no—
72C2×#41×C103—21no—
73C2×#41×C103—21no—
74C22×Q8×C103—21no—
75C2×Q16×C103—21no—
76C2×SD16×C103—21no—
77C2×SD16×C103—21no—
78C2×SD16×C103—21no—
79C2×SD16×C103—21no—
80C2×D8×C103—22no—
81C2×D8×C103—21no—
82C2×M16×C103—21no—
83C22×C8×C103—21no—
84C4⋊Q8×C103—21no—
85C4⋊Q8×C103—21no—
86C4⋊Q8×C103D411yescharacteristic
87C4⋊Q8×C103D411yescharacteristic
88C4⋊Q8×C103C2311yescharacteristic
89C4⋊Q8×C103C2311yescharacteristic
90#127×C103—21no—
91#127×C103C2311yescharacteristic
92#127×C103C2311yescharacteristic
93#126×C103—22no—
94#126×C103—21no—
95#125×C103—22no—
96#125×C103—21no—
97#125×C103—21no—
98#125×C103D411yescharacteristic
99#124×C103—22no—
100#124×C103—22no—
101#124×C103—21no—
102#124×C103—21no—
103#124×C103—21no—
104#124×C103—21no—
105#124×C103D411yescharacteristic
106#123×C103—22no—
107#123×C103—22no—
108#123×C103—22no—
109#123×C103—22no—
110#123×C103—22no—
111#123×C103—22no—
112#123×C103—21no—
113C22⋊Q8×C103—22no—
114C22⋊Q8×C103—22no—
115C22⋊Q8×C103—22no—
116C22⋊Q8×C103—22no—
117C22⋊Q8×C103—21no—
118C22⋊Q8×C103—22no—
119C22⋊Q8×C103—21no—
120C22⋊Q8×C103D411yescharacteristic
121C22⋊Q8×C103D411yescharacteristic
122C22⋊Q8×C103D411yescharacteristic
123#121×C103—22no—
124#121×C103—22no—
125#121×C103—22no—
126#121×C103—21no—
127#121×C103—21no—
128#121×C103—21no—
129#121×C103—21no—
130#121×C103D411yescharacteristic
131#121×C103D412yes—
132C4×Q8×C103—21no—
133C4×Q8×C103—21no—
134C4×Q8×C103—21no—
135C4×Q8×C103C2311yescharacteristic
136C4×Q8×C103C2311yescharacteristic
137C4×Q8×C103C2311yescharacteristic
138C4×D4×C103—22no—
139C4×D4×C103—21no—
140C4×D4×C103—21no—
141C4×D4×C103—21no—
142C4×D4×C103—21no—
143C4×D4×C103—21no—
144C4×D4×C103—21no—
145C4×D4×C103—21no—
146C4×D4×C103—21no—
147C4×D4×C103D412yes—
148C4×D4×C103C2311yescharacteristic
149#117×C103—21no—
150#117×C103—21no—
151C2×C4⋊C4×C103—22no—
152C2×C42×C103C2311yescharacteristic
153#106×C103—22no—
154#106×C103—21no—
155#106×C103—21no—
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#103×C103—21no—
164#103×C103—21no—
165#102×C103—22no—
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
176#41×C103—81no—
177#41×C103—81no—
178#41×C103—81no—
179#41×C103—81no—
180#41×C103—81no—
181#41×C103—81no—
182C2×Q8×C103—22no—
183C2×Q8×C103—21no—
184C2×Q8×C103—21no—
185C2×Q8×C103—21no—
186C2×Q8×C103—81no—
187C2×Q8×C103—81no—
188C2×Q8×C103C2×D411yescharacteristic
189C2×Q8×C103C2×D411yescharacteristic
190C2×Q8×C103C2×D411yescharacteristic
191C2×D4×C103—22no—
192C2×D4×C103—22no—
193C2×D4×C103—21no—
194C2×D4×C103—22no—
195C2×D4×C103—21no—
196C2×D4×C103—21no—
197C2×D4×C103—21no—
198C2×D4×C103—21no—
199C2×D4×C103—21no—
200C2×D4×C103—41no—
201C2×D4×C103C2×D411yescharacteristic
202C2×D4×C103C2×D412yes—
203C22×C4×C103—22no—
204C22×C4×C103—22no—
205C22×C4×C103—22no—
206C22×C4×C103—21no—
207C22×C4×C103—22no—
208C22×C4×C103—41no—
209C22×C4×C103C2×D411yescharacteristic
210C22×C4×C103C2×D411yescharacteristic
211C22×C4×C103C2×D411yescharacteristic
212Q16×C103—81no—
213SD16×C103—81no—
214SD16×C103—81no—
215SD16×C103—81no—
216SD16×C103—81no—
217D8×C103—44no—
218D8×C103—81no—
219M16×C103—42no—
220C2×C8×C103—21no—
221C2×C8×C103—21no—
222C2×C8×C103—21no—
223C2×C8×C103—21no—
224C2×C8×C103—21no—
225C2×C8×C103—21no—
226C2×C8×C103—81no—
227C4⋊C4×C103—22no—
228C4⋊C4×C103—22no—
229C4⋊C4×C103—22no—
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×C103—21no—
239C4⋊C4×C103—21no—
240C4⋊C4×C103—21no—
241C4⋊C4×C103—21no—
242C4⋊C4×C103—21no—
243C4⋊C4×C103—21no—
244C4⋊C4×C103—21no—
245C4⋊C4×C103C2×D411yescharacteristic
246C4⋊C4×C103C2×D411yescharacteristic
247C4⋊C4×C103C2×D411yescharacteristic
248C4⋊C4×C103C2×D412yes—
249C4⋊C4×C103C2×D411yescharacteristic
250C22⋊C4×C103—22no—
251C22⋊C4×C103—22no—
252C22⋊C4×C103—22no—
253C22⋊C4×C103—22no—
254C22⋊C4×C103—22no—
255C22⋊C4×C103—21no—
256C22⋊C4×C103—21no—
257C22⋊C4×C103—21no—
258C22⋊C4×C103—21no—
259C22⋊C4×C103—21no—
260C22⋊C4×C103—21no—
261C22⋊C4×C103—22no—
262C22⋊C4×C103—22no—
263C22⋊C4×C103—21no—
264C22⋊C4×C103—41no—
265C22⋊C4×C103—41no—
266C42×C103—22no—
267C42×C103—21no—
268C42×C103—21no—
269C42×C103—21no—
270C42×C103C2×D411yescharacteristic
271C42×C103C2×D411yescharacteristic
272C42×C103C2×D411yescharacteristic
273C42×C103C2411yescharacteristic
274C23×C103—21no—
275C23×C103—22no—
276C23×C103—41no—
277C23×C103#12011yescharacteristic
278Q8×C103—21no—
279Q8×C103—21no—
280Q8×C103—21no—
281Q8×C103—21no—
282Q8×C103—21no—
283Q8×C103—21no—
284Q8×C103—41no—
285Q8×C103—41no—
286Q8×C103—41no—
287Q8×C103—41no—
288Q8×C103—81no—
289Q8×C103—82no—
290D4×C103—21no—
291D4×C103—21no—
292D4×C103—42no—
293D4×C103—42no—
294D4×C103—41no—
295D4×C103—41no—
296D4×C103—41no—
297D4×C103—41no—
298D4×C103—41no—
299D4×C103—41no—
300D4×C103—41no—
301D4×C103—41no—
302D4×C103—81no—
303D4×C103—82no—
304D4×C103—82no—
305D4×C103—82no—
306D4×C103—82no—
307C2×C4×C103—21no—
308C2×C4×C103—21no—
309C2×C4×C103—21no—
310C2×C4×C103—21no—
311C2×C4×C103—21no—
312C2×C4×C103—21no—
313C2×C4×C103—21no—
314C2×C4×C103—21no—
315C2×C4×C103—21no—
316C2×C4×C103—22no—
317C2×C4×C103—21no—
318C2×C4×C103—21no—
319C2×C4×C103—41no—
320C2×C4×C103—41no—
321C2×C4×C103—41no—
322C2×C4×C103—41no—
323C2×C4×C103—82no—
324C2×C4×C103—82no—
325C2×C4×C103—82no—
326C2×C4×C103—82no—
327C2×C4×C103—82no—
328C2×C4×C103#12011yescharacteristic
329C2×C4×C103#12011yescharacteristic
330C2×C4×C103#12011yescharacteristic
331C2×C4×C103C22×D411yescharacteristic
332C2×C4×C103C22×D411yescharacteristic
333C2×C4×C103C22×D411yescharacteristic
334C8×C103—22no—
335C8×C103—41no—
336C8×C103—41no—
337C8×C103—41no—
338C8×C103—41no—
339C8×C103—41no—
340C22×C103—21no—
341C22×C103—21no—
342C22×C103—21no—
343C22×C103—41no—
344C22×C103—42no—
345C22×C103—41no—
346C22×C103—42no—
347C22×C103—42no—
348C22×C103—41no—
349C22×C103—81no—
350C22×C103—81no—
351C22×C103—81no—
352C22×C103C2×#12011yescharacteristic
353C4×C103—21no—
354C4×C103—21no—
355C4×C103—21no—
356C4×C103—21no—
357C4×C103—41no—
358C4×C103—41no—
359C4×C103—41no—
360C4×C103—42no—
361C4×C103—41no—
362C4×C103—41no—
363C4×C103—41no—
364C4×C103—41no—
365C4×C103—81no—
366C4×C103#57611yescharacteristic
367C4×C103#57711yescharacteristic
368C4×C103#57711yescharacteristic
369C4×C103#57711yescharacteristic
370#18742C10311yesmaximal, characteristic, direct product factor, Sylow
371C2×C103—41no—
372C2×C103—81no—
373C2×C103—82no—
374C2×C103—161no—
375C2×C103#301011yescharacteristic
376C2×C103#301211yescharacteristic
377C2×C103#301811yescharacteristic
378#3554C2×C10311yescharacteristic, complemented
379#3246C2×C10311yescharacteristic, complemented
380#3212C2×C10311yescharacteristic, complemented
381#3184C2×C10311yescharacteristic, complemented
382#1653C2×C10311yescharacteristic, complemented
383#1651C2×C10311yescharacteristic, complemented
384#1642C2×C10311yescharacteristic, complemented
385#1640C2×C10311yescharacteristic, complemented
386#1627C2×C10311yescharacteristic, complemented
387#1626C2×C10311yescharacteristic, complemented
388#1621C2×C10311yescharacteristic, complemented
389#1620C2×C10311yescharacteristic, complemented
390#1540C2×C10311yescharacteristic, complemented
391#1485C2×C10311yescharacteristic, complemented
392#1483C2×C10311yescharacteristic, complemented
393C103#1874211yescharacteristic, direct product factor, Sylow
394#562—22no—
395#559—21no—
396#559C22×C10311yescharacteristic
397#557C22×C10311yescharacteristic
398#554—21no—
399#550C22×C10311yescharacteristic
400D4×Q8C22×C10311yescharacteristic
401#548—21no—
402#547—21no—
403#542—21no—
404#542—21no—
405#540—21no—
406#539—22no—
407#536—21no—
408#533C22×C10311yescharacteristic
409#532C22×C10311yescharacteristic
410#532C22×C10311yescharacteristic
411#529C22×C10311yescharacteristic
412#498C22×C10311yescharacteristic
413#495—21no—
414#493C22×C10311yescharacteristic
415#488—21no—
416#486C22×C10311yescharacteristic
417#486C22×C10311yescharacteristic
418#476—21no—
419#475C22×C10311yescharacteristic
420#475C22×C10311yescharacteristic
421#469—22no—
422#465—21no—
423#465—21no—
424#462C22×C10311yescharacteristic
425#461—21no—
426#461C22×C10311yescharacteristic
427#460C22×C10311yescharacteristic
428#460C22×C10311yescharacteristic
429#460C22×C10311yescharacteristic
430#459C22×C10311yescharacteristic
431#452—21no—
432#449—21no—
433#442—22no—
434#431C22×C10311yescharacteristic
435C2×C4⋊C8C22×C10311yescharacteristic
436C4×M16C22×C10311yescharacteristic
437#332C22×C10311yescharacteristic
438#332C22×C10311yescharacteristic
439#331C22×C10311yescharacteristic
440#331C22×C10311yescharacteristic
441Q8⋊C8C22×C10311yescharacteristic
442Q8⋊C8C22×C10311yescharacteristic
443Q8⋊C8C22×C10311yescharacteristic
444Q8⋊C8C22×C10311yescharacteristic
445Q8⋊C8C22×C10311yescharacteristic
446Q8⋊C8C22×C10311yescharacteristic
447D4⋊C8C22×C10311yescharacteristic
448D4⋊C8C22×C10311yescharacteristic
449C2×#41—21no—
450C2×#41—21no—
451C2×#41—21no—
452C22×Q8—21no—
453C2×Q16—21no—
454C2×SD16—21no—
455C2×SD16—21no—
456C2×SD16—21no—
457C2×SD16—21no—
458C2×D8—22no—
459C2×D8—21no—
460C2×M16—21no—
461C22×C8—21no—
462C4⋊Q8—21no—
463C4⋊Q8—21no—
464C4⋊Q8D4×C10311yescharacteristic
465C4⋊Q8D4×C10311yescharacteristic
466C4⋊Q8C23×C10311yescharacteristic
467C4⋊Q8C23×C10311yescharacteristic
468#127—21no—
469#127C23×C10311yescharacteristic
470#127C23×C10311yescharacteristic
471#126—22no—
472#126—21no—
473#125—22no—
474#125—21no—
475#125—21no—
476#125D4×C10311yescharacteristic
477#124—22no—
478#124—22no—
479#124—21no—
480#124—21no—
481#124—21no—
482#124—21no—
483#124D4×C10311yescharacteristic
484#123—22no—
485#123—22no—
486#123—22no—
487#123—22no—
488#123—22no—
489#123—22no—
490#123—21no—
491C22⋊Q8—22no—
492C22⋊Q8—22no—
493C22⋊Q8—22no—
494C22⋊Q8—22no—
495C22⋊Q8—21no—
496C22⋊Q8—22no—
497C22⋊Q8—21no—
498C22⋊Q8D4×C10311yescharacteristic
499C22⋊Q8D4×C10311yescharacteristic
500C22⋊Q8D4×C10311yescharacteristic
501#121—22no—
502#121—22no—
503#121—22no—
504#121—21no—
505#121—21no—
506#121—21no—
507#121—21no—
508#121D4×C10311yescharacteristic
509#121D4×C10312yes—
510C4×Q8—21no—
511C4×Q8—21no—
512C4×Q8—21no—
513C4×Q8C23×C10311yescharacteristic
514C4×Q8C23×C10311yescharacteristic
515C4×Q8C23×C10311yescharacteristic
516C4×D4—22no—
517C4×D4—21no—
518C4×D4—21no—
519C4×D4—21no—
520C4×D4—21no—
521C4×D4—21no—
522C4×D4—21no—
523C4×D4—21no—
524C4×D4—21no—
525C4×D4D4×C10312yes—
526C4×D4C23×C10311yescharacteristic
527#117—21no—
528#117—21no—
529C2×C4⋊C4—22no—
530C2×C42C23×C10311yescharacteristic
531#106—22no—
532#106—21no—
533#106—21no—
534C4⋊C8—21no—
535C4⋊C8C23×C10311yescharacteristic
536C4⋊C8C23×C10311yescharacteristic
537C4⋊C8C23×C10311yescharacteristic
538C4⋊C8C23×C10311yescharacteristic
539#103—21no—
540#103—21no—
541#103—21no—
542#103—21no—
543#102—22no—
544#102—22no—
545#102—21no—
546#102—21no—
547#102—21no—
548#102—21no—
549C22⋊C8—21no—
550#97—21no—
551C4×C8—21no—
552C4×C8C23×C10311yescharacteristic
553C4×C8C23×C10311yescharacteristic
554#41—81no—
555#41—81no—
556#41—81no—
557#41—81no—
558#41—81no—
559#41—81no—
560C2×Q8—22no—
561C2×Q8—21no—
562C2×Q8—21no—
563C2×Q8—21no—
564C2×Q8—81no—
565C2×Q8—81no—
566C2×Q8C2×D4×C10311yescharacteristic
567C2×Q8C2×D4×C10311yescharacteristic
568C2×Q8C2×D4×C10311yescharacteristic
569C2×D4—22no—
570C2×D4—22no—
571C2×D4—21no—
572C2×D4—22no—
573C2×D4—21no—
574C2×D4—21no—
575C2×D4—21no—
576C2×D4—21no—
577C2×D4—21no—
578C2×D4—41no—
579C2×D4C2×D4×C10311yescharacteristic
580C2×D4C2×D4×C10312yes—
581C22×C4—22no—
582C22×C4—22no—
583C22×C4—22no—
584C22×C4—21no—
585C22×C4—22no—
586C22×C4—41no—
587C22×C4C2×D4×C10311yescharacteristic
588C22×C4C2×D4×C10311yescharacteristic
589C22×C4C2×D4×C10311yescharacteristic
590Q16—81no—
591SD16—81no—
592SD16—81no—
593SD16—81no—
594SD16—81no—
595D8—44no—
596D8—81no—
597M16—42no—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—21no—
602C2×C8—21no—
603C2×C8—21no—
604C2×C8—81no—
605C4⋊C4—22no—
606C4⋊C4—22no—
607C4⋊C4—22no—
608C4⋊C4—22no—
609C4⋊C4—21no—
610C4⋊C4—21no—
611C4⋊C4—21no—
612C4⋊C4—21no—
613C4⋊C4—21no—
614C4⋊C4—21no—
615C4⋊C4—21no—
616C4⋊C4—21no—
617C4⋊C4—21no—
618C4⋊C4—21no—
619C4⋊C4—21no—
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—21no—
623C4⋊C4C2×D4×C10311yescharacteristic
624C4⋊C4C2×D4×C10311yescharacteristic
625C4⋊C4C2×D4×C10311yescharacteristic
626C4⋊C4C2×D4×C10312yes—
627C4⋊C4C2×D4×C10311yescharacteristic
628C22⋊C4—22no—
629C22⋊C4—22no—
630C22⋊C4—22no—
631C22⋊C4—22no—
632C22⋊C4—22no—
633C22⋊C4—21no—
634C22⋊C4—21no—
635C22⋊C4—21no—
636C22⋊C4—21no—
637C22⋊C4—21no—
638C22⋊C4—21no—
639C22⋊C4—22no—
640C22⋊C4—22no—
641C22⋊C4—21no—
642C22⋊C4—41no—
643C22⋊C4—41no—
644C42—22no—
645C42—21no—
646C42—21no—
647C42—21no—
648C42C2×D4×C10311yescharacteristic
649C42C2×D4×C10311yescharacteristic
650C42C2×D4×C10311yescharacteristic
651C42C24×C10311yescharacteristic
652C23—21no—
653C23—22no—
654C23—41no—
655C23#120×C10311yescharacteristic
656Q8—21no—
657Q8—21no—
658Q8—21no—
659Q8—21no—
660Q8—21no—
661Q8—21no—
662Q8—41no—
663Q8—41no—
664Q8—41no—
665Q8—41no—
666Q8—81no—
667Q8—82no—
668D4—21no—
669D4—21no—
670D4—42no—
671D4—42no—
672D4—41no—
673D4—41no—
674D4—41no—
675D4—41no—
676D4—41no—
677D4—41no—
678D4—41no—
679D4—41no—
680D4—82no—
681D4—81no—
682D4—82no—
683D4—82no—
684D4—82no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—22no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—82no—
702C2×C4—82no—
703C2×C4—82no—
704C2×C4—82no—
705C2×C4—82no—
706C2×C4#120×C10311yescharacteristic
707C2×C4#120×C10311yescharacteristic
708C2×C4#120×C10311yescharacteristic
709C2×C4C22×D4×C10311yescharacteristic
710C2×C4C22×D4×C10311yescharacteristic
711C2×C4C22×D4×C10311yescharacteristic
712C8—22no—
713C8—41no—
714C8—41no—
715C8—41no—
716C8—41no—
717C8—41no—
718C22—21no—
719C22—21no—
720C22—21no—
721C22—41no—
722C22—42no—
723C22—41no—
724C22—42no—
725C22—42no—
726C22—41no—
727C22—81no—
728C22—81no—
729C22—81no—
730C22C2×#120×C10311yescharacteristic
731C4—21no—
732C4—21no—
733C4—21no—
734C4—21no—
735C4—41no—
736C4—41no—
737C4—41no—
738C4—42no—
739C4—41no—
740C4—41no—
741C4—41no—
742C4—41no—
743C4—81no—
744C4#576×C10311yescharacteristic
745C4#577×C10311yescharacteristic
746C4#577×C10311yescharacteristic
747C4#577×C10311yescharacteristic
748C2—41no—
749C2—81no—
750C2—82no—
751C2—161no—
752C2C103×#301011yescharacteristic
753C2C103×#301211yescharacteristic
754C2C103×#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×#3554C2semidirect
2. C103×#3246C2semidirect
3. C103×#3212C2semidirect
4. C103×#3184C2semidirect
5. C103×#1653C2semidirect
6. C103×#1651C2semidirect
7. C103×#1642C2semidirect
8. C103×#1640C2semidirect
9. C103×#1627C2semidirect
10. C103×#1626C2semidirect
11. C103×#1621C2semidirect
12. C103×#1620C2semidirect
13. C103×#1540C2semidirect
14. C103×#1485C2semidirect
15. C103×#1483C2semidirect
370. #18742C103direct (N × H)
378. #3554C2×C103semidirect
379. #3246C2×C103semidirect
380. #3212C2×C103semidirect
381. #3184C2×C103semidirect
382. #1653C2×C103semidirect
383. #1651C2×C103semidirect
384. #1642C2×C103semidirect
385. #1640C2×C103semidirect
386. #1627C2×C103semidirect
387. #1626C2×C103semidirect
388. #1621C2×C103semidirect
389. #1620C2×C103semidirect
390. #1540C2×C103semidirect
391. #1485C2×C103semidirect
392. #1483C2×C103semidirect
393. C103#18742direct (N × H)

Maximal subgroups

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

subgroupindex
C103×#35542
C103×#32462
C103×#32122
C103×#31842
C103×#16532
C103×#16512
C103×#16422
C103×#16402
C103×#16272
C103×#16262
C103×#16212
C103×#16202
C103×#15402
C103×#14852
C103×#14832
#18742103