Finite Group Databasebeta

← C103×#19068 #39924343

Subgroups — C103×#19068 #39924343

Order 26368.

920 conjugacy classes of subgroups.

The subgroup lattice has 892 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C103×#3545C211yesmaximal, characteristic, complemented
2C103×#3219C211yesmaximal, characteristic, complemented
3C103×#3213C211yesmaximal, characteristic, complemented
4C103×#3171C211yesmaximal, characteristic, complemented
5C103×#1664C211yesmaximal, characteristic, complemented
6C103×#1662C211yesmaximal, characteristic, complemented
7C103×#1661C211yesmaximal, characteristic, complemented
8C103×#1659C211yesmaximal, characteristic, complemented
9C103×#1657C211yesmaximal, characteristic, complemented
10C103×#1656C211yesmaximal, characteristic, complemented
11C103×#1656C211yesmaximal, characteristic, complemented
12C103×#1655C211yesmaximal, characteristic, complemented
13C103×#1535C211yesmaximal, characteristic, complemented
14C103×#1529C211yesmaximal, characteristic, complemented
15C103×#1527C211yesmaximal, characteristic, complemented
16#563×C103C2211yescharacteristic
17#562×C103C2211yescharacteristic
18#562×C103C2211yescharacteristic
19H(3,𝔽4)×C103C2211yescharacteristic
20#555×C103—21no—
21#551×C103—21no—
22#551×C103—21no—
23#551×C103—21no—
24#546×C103—21no—
25#546×C103—21no—
26#542×C103—21no—
27#542×C103—21no—
28#538×C103—21no—
29#538×C103—21no—
30#536×C103—21no—
31#534×C103—21no—
32#532×C103C2211yescharacteristic, complemented
33#529×C103C2211yescharacteristic
34#529×C103C2211yescharacteristic
35C2×#124×C103C2211yescharacteristic
36#501×C103C2211yescharacteristic, complemented
37#497×C103C2211yescharacteristic, complemented
38#496×C103C2211yescharacteristic
39#496×C103C2211yescharacteristic, complemented
40#496×C103C2211yescharacteristic, complemented
41#496×C103C2211yescharacteristic, complemented
42#491×C103C2211yescharacteristic, complemented
43#490×C103C2211yescharacteristic, complemented
44#490×C103C2211yescharacteristic, complemented
45#489×C103C2211yescharacteristic
46#489×C103C2211yescharacteristic, complemented
47#489×C103C2211yescharacteristic, complemented
48#469×C103—21no—
49#468×C103—21no—
50#464×C103—21no—
51#463×C103—21no—
52#463×C103—21no—
53#463×C103—21no—
54#452×C103—21no—
55#449×C103—21no—
56#448×C103—21no—
57#447×C103—21no—
58C4×SD16×C103—21no—
59C4×D8×C103—21no—
60#432×C103C2211yescharacteristic, complemented
61#432×C103C2211yescharacteristic, complemented
62C4×M16×C103C2211yescharacteristic, complemented
63#330×C103C2211yescharacteristic, complemented
64#330×C103C2211yescharacteristic, complemented
65#330×C103C2211yescharacteristic, complemented
66#330×C103C2211yescharacteristic, complemented
67#329×C103C2211yescharacteristic
68#329×C103C2211yescharacteristic
69#329×C103C2211yescharacteristic, complemented
70#329×C103C2211yescharacteristic, complemented
71#329×C103C2211yescharacteristic, complemented
72#329×C103C2211yescharacteristic, complemented
73#329×C103C2211yescharacteristic, complemented
74#329×C103C2211yescharacteristic, complemented
75C2×#41×C103—21no—
76C2×#41×C103—21no—
77C22×Q8×C103D411yescharacteristic
78C22×D4×C103—21no—
79C22×D4×C103D411yescharacteristic
80C2×Q16×C103—21no—
81C2×SD16×C103—21no—
82C2×SD16×C103—21no—
83C2×SD16×C103—21no—
84C2×SD16×C103—21no—
85C2×SD16×C103—21no—
86C2×D8×C103—21no—
87C2×D8×C103—21no—
88C2×D8×C103—21no—
89C2×D8×C103—21no—
90C2×M16×C103—21no—
91C4⋊Q8×C103—21no—
92C4⋊Q8×C103—21no—
93C4⋊Q8×C103C2311yescharacteristic
94#127×C103C2311yescharacteristic
95#126×C103—21no—
96#126×C103—21no—
97#126×C103—21no—
98#126×C103—21no—
99#126×C103—21no—
100#126×C103—21no—
101#125×C103C2311yescharacteristic
102#125×C103C2311yescharacteristic
103#124×C103—21no—
104#124×C103—21no—
105#124×C103—21no—
106#124×C103—21no—
107#124×C103—21no—
108#124×C103—21no—
109#124×C103—21no—
110#124×C103—21no—
111#124×C103—21no—
112#124×C103D411yescharacteristic
113#124×C103D411yescharacteristic
114#124×C103C2311yescharacteristic
115#124×C103C2311yescharacteristic
116#124×C103C2311yescharacteristic
117#124×C103C2311yescharacteristic
118#123×C103—21no—
119#123×C103—21no—
120#123×C103—21no—
121#123×C103—21no—
122#123×C103—21no—
123#123×C103—21no—
124#123×C103—21no—
125#123×C103—21no—
126#123×C103—21no—
127#123×C103—21no—
128#123×C103—21no—
129#123×C103—21no—
130C22⋊Q8×C103—21no—
131C22⋊Q8×C103—21no—
132C22⋊Q8×C103—21no—
133C22⋊Q8×C103—21no—
134C22⋊Q8×C103—21no—
135C22⋊Q8×C103—21no—
136C22⋊Q8×C103—21no—
137C22⋊Q8×C103—21no—
138C22⋊Q8×C103D411yescharacteristic
139C22⋊Q8×C103D411yescharacteristic
140#121×C103—21no—
141#121×C103—21no—
142#121×C103—21no—
143#121×C103—21no—
144#121×C103—21no—
145#121×C103—21no—
146#121×C103—21no—
147#121×C103—21no—
148#121×C103—21no—
149#121×C103—21no—
150#121×C103D411yescharacteristic
151#121×C103D411yescharacteristic
152#120×C103—21no—
153#120×C103—21no—
154#120×C103—21no—
155#120×C103—21no—
156#120×C103—21no—
157#120×C103—21no—
158C4×Q8×C103D411yescharacteristic
159C4×Q8×C103D411yescharacteristic
160C4×D4×C103—21no—
161C4×D4×C103—21no—
162C4×D4×C103—21no—
163C4×D4×C103—21no—
164C4×D4×C103—21no—
165C4×D4×C103—21no—
166C4×D4×C103—21no—
167C4×D4×C103—21no—
168C4×D4×C103D411yescharacteristic
169C4×D4×C103D411yescharacteristic
170#117×C103—21no—
171#117×C103—21no—
172#117×C103—21no—
173#117×C103—21no—
174#117×C103—21no—
175C2×C22⋊C4×C103—21no—
176C2×C22⋊C4×C103—21no—
177C2×C22⋊C4×C103—21no—
178C2×C22⋊C4×C103—21no—
179C2×C22⋊C4×C103—21no—
180C2×C42×C103C2311yescharacteristic
181#107×C103—21no—
182#106×C103—21no—
183C4⋊C8×C103—21no—
184C4⋊C8×C103—21no—
185#103×C103—21no—
186#103×C103—21no—
187#103×C103—21no—
188#103×C103—21no—
189#103×C103—21no—
190#102×C103—21no—
191#102×C103—21no—
192#102×C103—21no—
193#102×C103—21no—
194#102×C103—21no—
195#102×C103—21no—
196#102×C103—21no—
197C22⋊C8×C103—21no—
198C22⋊C8×C103—21no—
199#97×C103C2311yescharacteristic
200#97×C103C2311yescharacteristic
201#97×C103C2311yescharacteristic
202#97×C103C2311yescharacteristic
203#97×C103C2311yescharacteristic
204#97×C103C2311yescharacteristic
205C4×C8×C103—21no—
206C24×C103—21no—
207C24×C103—21no—
208#41×C103—82no—
209#41×C103—81no—
210#41×C103—81no—
211C2×Q8×C103—21no—
212C2×Q8×C103—21no—
213C2×Q8×C103—21no—
214C2×Q8×C103—81no—
215C2×Q8×C103C2×D411yescharacteristic
216C2×Q8×C103C2×D411yescharacteristic
217C2×Q8×C103C2×D411yescharacteristic
218C2×Q8×C103C2×D411yescharacteristic
219C2×D4×C103—21no—
220C2×D4×C103—21no—
221C2×D4×C103—21no—
222C2×D4×C103—21no—
223C2×D4×C103—21no—
224C2×D4×C103—21no—
225C2×D4×C103—21no—
226C2×D4×C103—21no—
227C2×D4×C103—21no—
228C2×D4×C103—21no—
229C2×D4×C103—21no—
230C2×D4×C103—21no—
231C2×D4×C103—21no—
232C2×D4×C103—41no—
233C2×D4×C103—81no—
234C2×D4×C103—82no—
235C2×D4×C103C2×D411yescharacteristic
236C2×D4×C103C2×D411yescharacteristic
237C2×D4×C103C2×D411yescharacteristic
238C2×D4×C103C2×D411yescharacteristic
239C22×C4×C103—21no—
240C22×C4×C103—21no—
241C22×C4×C103—21no—
242C22×C4×C103—21no—
243C22×C4×C103—21no—
244C22×C4×C103—21no—
245C22×C4×C103—21no—
246C22×C4×C103—21no—
247C22×C4×C103—41no—
248C22×C4×C103C2×D411yescharacteristic
249C22×C4×C103C2×D411yescharacteristic
250C22×C4×C103C2×D411yescharacteristic
251Q16×C103—81no—
252SD16×C103—42no—
253SD16×C103—81no—
254SD16×C103—81no—
255SD16×C103—81no—
256SD16×C103—81no—
257D8×C103—42no—
258D8×C103—81no—
259D8×C103—81no—
260D8×C103—81no—
261M16×C103—42no—
262C2×C8×C103—21no—
263C2×C8×C103—21no—
264C2×C8×C103—21no—
265C2×C8×C103—21no—
266C2×C8×C103—21no—
267C2×C8×C103—21no—
268C4⋊C4×C103—21no—
269C4⋊C4×C103—21no—
270C4⋊C4×C103—21no—
271C4⋊C4×C103—21no—
272C4⋊C4×C103—21no—
273C4⋊C4×C103—21no—
274C4⋊C4×C103—21no—
275C4⋊C4×C103—21no—
276C4⋊C4×C103—21no—
277C4⋊C4×C103—21no—
278C4⋊C4×C103—21no—
279C4⋊C4×C103—21no—
280C4⋊C4×C103—21no—
281C4⋊C4×C103—21no—
282C4⋊C4×C103—21no—
283C4⋊C4×C103—21no—
284C4⋊C4×C103C2×D411yescharacteristic
285C4⋊C4×C103C2×D411yescharacteristic
286C4⋊C4×C103C2×D411yescharacteristic
287C4⋊C4×C103C2×D411yescharacteristic
288C22⋊C4×C103—21no—
289C22⋊C4×C103—21no—
290C22⋊C4×C103—21no—
291C22⋊C4×C103—21no—
292C22⋊C4×C103—21no—
293C22⋊C4×C103—21no—
294C22⋊C4×C103—21no—
295C22⋊C4×C103—21no—
296C22⋊C4×C103—21no—
297C22⋊C4×C103—21no—
298C22⋊C4×C103—21no—
299C22⋊C4×C103—21no—
300C22⋊C4×C103—21no—
301C22⋊C4×C103—21no—
302C22⋊C4×C103—21no—
303C22⋊C4×C103—21no—
304C22⋊C4×C103—21no—
305C22⋊C4×C103—21no—
306C22⋊C4×C103—21no—
307C22⋊C4×C103—21no—
308C22⋊C4×C103—21no—
309C22⋊C4×C103—21no—
310C22⋊C4×C103—21no—
311C22⋊C4×C103—21no—
312C22⋊C4×C103—21no—
313C22⋊C4×C103—21no—
314C22⋊C4×C103—21no—
315C22⋊C4×C103—21no—
316C22⋊C4×C103—41no—
317C22⋊C4×C103—41no—
318C42×C103—21no—
319C42×C103—21no—
320C42×C103—21no—
321C42×C103—21no—
322C42×C103C2×D411yescharacteristic
323C42×C103C2×D411yescharacteristic
324C42×C103C2×D411yescharacteristic
325C42×C103C2411yescharacteristic
326C23×C103—21no—
327C23×C103—21no—
328C23×C103—21no—
329C23×C103—21no—
330C23×C103—42no—
331C23×C103—41no—
332C23×C103—81no—
333C23×C103—81no—
334C23×C103—81no—
335C23×C103—81no—
336C23×C103—81no—
337C23×C103#12011yescharacteristic
338Q8×C103—41no—
339Q8×C103—41no—
340Q8×C103—41no—
341Q8×C103—41no—
342Q8×C103—41no—
343Q8×C103—41no—
344Q8×C103—81no—
345Q8×C103—81no—
346D4×C103—41no—
347D4×C103—41no—
348D4×C103—41no—
349D4×C103—41no—
350D4×C103—41no—
351D4×C103—41no—
352D4×C103—41no—
353D4×C103—41no—
354D4×C103—41no—
355D4×C103—41no—
356D4×C103—42no—
357D4×C103—42no—
358D4×C103—81no—
359D4×C103—81no—
360D4×C103—81no—
361D4×C103—81no—
362D4×C103—81no—
363D4×C103—81no—
364D4×C103—81no—
365D4×C103—81no—
366D4×C103—82no—
367C2×C4×C103—21no—
368C2×C4×C103—21no—
369C2×C4×C103—21no—
370C2×C4×C103—21no—
371C2×C4×C103—21no—
372C2×C4×C103—21no—
373C2×C4×C103—21no—
374C2×C4×C103—21no—
375C2×C4×C103—41no—
376C2×C4×C103—41no—
377C2×C4×C103—41no—
378C2×C4×C103—42no—
379C2×C4×C103—41no—
380C2×C4×C103—81no—
381C2×C4×C103—81no—
382C2×C4×C103—82no—
383C2×C4×C103—81no—
384C2×C4×C103—81no—
385C2×C4×C103—81no—
386C2×C4×C103—81no—
387C2×C4×C103—81no—
388C2×C4×C103#12011yescharacteristic
389C2×C4×C103#12011yescharacteristic
390C2×C4×C103#12011yescharacteristic
391C2×C4×C103C22×D411yescharacteristic
392C2×C4×C103C22×D411yescharacteristic
393C2×C4×C103C22×D411yescharacteristic
394C8×C103—22no—
395C8×C103—41no—
396C8×C103—41no—
397C8×C103—41no—
398C8×C103—41no—
399C8×C103—41no—
400C22×C103—21no—
401C22×C103—21no—
402C22×C103—21no—
403C22×C103—41no—
404C22×C103—41no—
405C22×C103—41no—
406C22×C103—41no—
407C22×C103—41no—
408C22×C103—41no—
409C22×C103—41no—
410C22×C103—41no—
411C22×C103—41no—
412C22×C103—41no—
413C22×C103—41no—
414C22×C103—41no—
415C22×C103—81no—
416C22×C103—81no—
417C22×C103—81no—
418C22×C103—162no—
419C22×C103—162no—
420C22×C103C2×#12011yescharacteristic
421C4×C103—21no—
422C4×C103—21no—
423C4×C103—21no—
424C4×C103—21no—
425C4×C103—21no—
426C4×C103—21no—
427C4×C103—41no—
428C4×C103—41no—
429C4×C103—41no—
430C4×C103—41no—
431C4×C103—41no—
432C4×C103—41no—
433C4×C103—41no—
434C4×C103—41no—
435C4×C103—81no—
436#19068C10311yesmaximal, characteristic, direct product factor, Sylow
437C2×C103—41no—
438C2×C103—81no—
439C2×C103—81no—
440C2×C103—81no—
441C2×C103—81no—
442C2×C103—161no—
443C2×C103#301811yescharacteristic
444C2×C103#301911yescharacteristic
445C2×C103#302111yescharacteristic
446#3545C2×C10311yescharacteristic, complemented
447#3219C2×C10311yescharacteristic, complemented
448#3213C2×C10311yescharacteristic, complemented
449#3171C2×C10311yescharacteristic, complemented
450#1664C2×C10311yescharacteristic, complemented
451#1662C2×C10311yescharacteristic, complemented
452#1661C2×C10311yescharacteristic, complemented
453#1659C2×C10311yescharacteristic, complemented
454#1657C2×C10311yescharacteristic, complemented
455#1656C2×C10311yescharacteristic, complemented
456#1656C2×C10311yescharacteristic, complemented
457#1655C2×C10311yescharacteristic, complemented
458#1535C2×C10311yescharacteristic, complemented
459#1529C2×C10311yescharacteristic, complemented
460#1527C2×C10311yescharacteristic, complemented
461C103#1906811yescharacteristic, direct product factor, Sylow
462#563C22×C10311yescharacteristic
463#562C22×C10311yescharacteristic
464#562C22×C10311yescharacteristic
465H(3,𝔽4)C22×C10311yescharacteristic
466#555—21no—
467#551—21no—
468#551—21no—
469#551—21no—
470#546—21no—
471#546—21no—
472#542—21no—
473#542—21no—
474#538—21no—
475#538—21no—
476#536—21no—
477#534—21no—
478#532C22×C10311yescharacteristic, complemented
479#529C22×C10311yescharacteristic
480#529C22×C10311yescharacteristic
481C2×#124C22×C10311yescharacteristic
482#501C22×C10311yescharacteristic, complemented
483#497C22×C10311yescharacteristic, complemented
484#496C22×C10311yescharacteristic
485#496C22×C10311yescharacteristic, complemented
486#496C22×C10311yescharacteristic, complemented
487#496C22×C10311yescharacteristic, complemented
488#491C22×C10311yescharacteristic, complemented
489#490C22×C10311yescharacteristic, complemented
490#490C22×C10311yescharacteristic, complemented
491#489C22×C10311yescharacteristic
492#489C22×C10311yescharacteristic, complemented
493#489C22×C10311yescharacteristic, complemented
494#469—21no—
495#468—21no—
496#464—21no—
497#463—21no—
498#463—21no—
499#463—21no—
500#452—21no—
501#449—21no—
502#448—21no—
503#447—21no—
504C4×SD16—21no—
505C4×D8—21no—
506#432C22×C10311yescharacteristic, complemented
507#432C22×C10311yescharacteristic, complemented
508C4×M16C22×C10311yescharacteristic, complemented
509#330C22×C10311yescharacteristic, complemented
510#330C22×C10311yescharacteristic, complemented
511#330C22×C10311yescharacteristic, complemented
512#330C22×C10311yescharacteristic, complemented
513#329C22×C10311yescharacteristic
514#329C22×C10311yescharacteristic
515#329C22×C10311yescharacteristic, complemented
516#329C22×C10311yescharacteristic, complemented
517#329C22×C10311yescharacteristic, complemented
518#329C22×C10311yescharacteristic, complemented
519#329C22×C10311yescharacteristic, complemented
520#329C22×C10311yescharacteristic, complemented
521C2×#41—21no—
522C2×#41—21no—
523C22×Q8D4×C10311yescharacteristic
524C22×D4—21no—
525C22×D4D4×C10311yescharacteristic
526C2×Q16—21no—
527C2×SD16—21no—
528C2×SD16—21no—
529C2×SD16—21no—
530C2×SD16—21no—
531C2×SD16—21no—
532C2×D8—21no—
533C2×D8—21no—
534C2×D8—21no—
535C2×D8—21no—
536C2×M16—21no—
537C4⋊Q8—21no—
538C4⋊Q8—21no—
539C4⋊Q8C23×C10311yescharacteristic
540#127C23×C10311yescharacteristic
541#126—21no—
542#126—21no—
543#126—21no—
544#126—21no—
545#126—21no—
546#126—21no—
547#125C23×C10311yescharacteristic
548#125C23×C10311yescharacteristic
549#124—21no—
550#124—21no—
551#124—21no—
552#124—21no—
553#124—21no—
554#124—21no—
555#124—21no—
556#124—21no—
557#124—21no—
558#124D4×C10311yescharacteristic
559#124D4×C10311yescharacteristic
560#124C23×C10311yescharacteristic
561#124C23×C10311yescharacteristic
562#124C23×C10311yescharacteristic
563#124C23×C10311yescharacteristic
564#123—21no—
565#123—21no—
566#123—21no—
567#123—21no—
568#123—21no—
569#123—21no—
570#123—21no—
571#123—21no—
572#123—21no—
573#123—21no—
574#123—21no—
575#123—21no—
576C22⋊Q8—21no—
577C22⋊Q8—21no—
578C22⋊Q8—21no—
579C22⋊Q8—21no—
580C22⋊Q8—21no—
581C22⋊Q8—21no—
582C22⋊Q8—21no—
583C22⋊Q8—21no—
584C22⋊Q8D4×C10311yescharacteristic
585C22⋊Q8D4×C10311yescharacteristic
586#121—21no—
587#121—21no—
588#121—21no—
589#121—21no—
590#121—21no—
591#121—21no—
592#121—21no—
593#121—21no—
594#121—21no—
595#121—21no—
596#121D4×C10311yescharacteristic
597#121D4×C10311yescharacteristic
598#120—21no—
599#120—21no—
600#120—21no—
601#120—21no—
602#120—21no—
603#120—21no—
604C4×Q8D4×C10311yescharacteristic
605C4×Q8D4×C10311yescharacteristic
606C4×D4—21no—
607C4×D4—21no—
608C4×D4—21no—
609C4×D4—21no—
610C4×D4—21no—
611C4×D4—21no—
612C4×D4—21no—
613C4×D4—21no—
614C4×D4D4×C10311yescharacteristic
615C4×D4D4×C10311yescharacteristic
616#117—21no—
617#117—21no—
618#117—21no—
619#117—21no—
620#117—21no—
621C2×C22⋊C4—21no—
622C2×C22⋊C4—21no—
623C2×C22⋊C4—21no—
624C2×C22⋊C4—21no—
625C2×C22⋊C4—21no—
626C2×C42C23×C10311yescharacteristic
627#107—21no—
628#106—21no—
629C4⋊C8—21no—
630C4⋊C8—21no—
631#103—21no—
632#103—21no—
633#103—21no—
634#103—21no—
635#103—21no—
636#102—21no—
637#102—21no—
638#102—21no—
639#102—21no—
640#102—21no—
641#102—21no—
642#102—21no—
643C22⋊C8—21no—
644C22⋊C8—21no—
645#97C23×C10311yescharacteristic
646#97C23×C10311yescharacteristic
647#97C23×C10311yescharacteristic
648#97C23×C10311yescharacteristic
649#97C23×C10311yescharacteristic
650#97C23×C10311yescharacteristic
651C4×C8—21no—
652C24—21no—
653C24—21no—
654#41—82no—
655#41—81no—
656#41—81no—
657C2×Q8—21no—
658C2×Q8—21no—
659C2×Q8—21no—
660C2×Q8—81no—
661C2×Q8C2×D4×C10311yescharacteristic
662C2×Q8C2×D4×C10311yescharacteristic
663C2×Q8C2×D4×C10311yescharacteristic
664C2×Q8C2×D4×C10311yescharacteristic
665C2×D4—21no—
666C2×D4—21no—
667C2×D4—21no—
668C2×D4—21no—
669C2×D4—21no—
670C2×D4—21no—
671C2×D4—21no—
672C2×D4—21no—
673C2×D4—21no—
674C2×D4—21no—
675C2×D4—21no—
676C2×D4—21no—
677C2×D4—21no—
678C2×D4—41no—
679C2×D4—81no—
680C2×D4—82no—
681C2×D4C2×D4×C10311yescharacteristic
682C2×D4C2×D4×C10311yescharacteristic
683C2×D4C2×D4×C10311yescharacteristic
684C2×D4C2×D4×C10311yescharacteristic
685C22×C4—21no—
686C22×C4—21no—
687C22×C4—21no—
688C22×C4—21no—
689C22×C4—21no—
690C22×C4—21no—
691C22×C4—21no—
692C22×C4—21no—
693C22×C4—41no—
694C22×C4C2×D4×C10311yescharacteristic
695C22×C4C2×D4×C10311yescharacteristic
696C22×C4C2×D4×C10311yescharacteristic
697Q16—81no—
698SD16—42no—
699SD16—81no—
700SD16—81no—
701SD16—81no—
702SD16—81no—
703D8—42no—
704D8—81no—
705D8—81no—
706D8—81no—
707M16—42no—
708C2×C8—21no—
709C2×C8—21no—
710C2×C8—21no—
711C2×C8—21no—
712C2×C8—21no—
713C2×C8—21no—
714C4⋊C4—21no—
715C4⋊C4—21no—
716C4⋊C4—21no—
717C4⋊C4—21no—
718C4⋊C4—21no—
719C4⋊C4—21no—
720C4⋊C4—21no—
721C4⋊C4—21no—
722C4⋊C4—21no—
723C4⋊C4—21no—
724C4⋊C4—21no—
725C4⋊C4—21no—
726C4⋊C4—21no—
727C4⋊C4—21no—
728C4⋊C4—21no—
729C4⋊C4—21no—
730C4⋊C4C2×D4×C10311yescharacteristic
731C4⋊C4C2×D4×C10311yescharacteristic
732C4⋊C4C2×D4×C10311yescharacteristic
733C4⋊C4C2×D4×C10311yescharacteristic
734C22⋊C4—21no—
735C22⋊C4—21no—
736C22⋊C4—21no—
737C22⋊C4—21no—
738C22⋊C4—21no—
739C22⋊C4—21no—
740C22⋊C4—21no—
741C22⋊C4—21no—
742C22⋊C4—21no—
743C22⋊C4—21no—
744C22⋊C4—21no—
745C22⋊C4—21no—
746C22⋊C4—21no—
747C22⋊C4—21no—
748C22⋊C4—21no—
749C22⋊C4—21no—
750C22⋊C4—21no—
751C22⋊C4—21no—
752C22⋊C4—21no—
753C22⋊C4—21no—
754C22⋊C4—21no—
755C22⋊C4—21no—
756C22⋊C4—21no—
757C22⋊C4—21no—
758C22⋊C4—21no—
759C22⋊C4—21no—
760C22⋊C4—21no—
761C22⋊C4—21no—
762C22⋊C4—41no—
763C22⋊C4—41no—
764C42—21no—
765C42—21no—
766C42—21no—
767C42—21no—
768C42C2×D4×C10311yescharacteristic
769C42C2×D4×C10311yescharacteristic
770C42C2×D4×C10311yescharacteristic
771C42C24×C10311yescharacteristic
772C23—21no—
773C23—21no—
774C23—21no—
775C23—21no—
776C23—42no—
777C23—41no—
778C23—81no—
779C23—81no—
780C23—81no—
781C23—81no—
782C23—81no—
783C23#120×C10311yescharacteristic
784Q8—41no—
785Q8—41no—
786Q8—41no—
787Q8—41no—
788Q8—41no—
789Q8—41no—
790Q8—81no—
791Q8—81no—
792D4—41no—
793D4—41no—
794D4—41no—
795D4—41no—
796D4—41no—
797D4—41no—
798D4—41no—
799D4—41no—
800D4—41no—
801D4—41no—
802D4—42no—
803D4—42no—
804D4—81no—
805D4—81no—
806D4—81no—
807D4—81no—
808D4—81no—
809D4—81no—
810D4—81no—
811D4—81no—
812D4—82no—
813C2×C4—21no—
814C2×C4—21no—
815C2×C4—21no—
816C2×C4—21no—
817C2×C4—21no—
818C2×C4—21no—
819C2×C4—21no—
820C2×C4—21no—
821C2×C4—41no—
822C2×C4—41no—
823C2×C4—41no—
824C2×C4—42no—
825C2×C4—41no—
826C2×C4—81no—
827C2×C4—81no—
828C2×C4—82no—
829C2×C4—81no—
830C2×C4—81no—
831C2×C4—81no—
832C2×C4—81no—
833C2×C4—81no—
834C2×C4#120×C10311yescharacteristic
835C2×C4#120×C10311yescharacteristic
836C2×C4#120×C10311yescharacteristic
837C2×C4C22×D4×C10311yescharacteristic
838C2×C4C22×D4×C10311yescharacteristic
839C2×C4C22×D4×C10311yescharacteristic
840C8—22no—
841C8—41no—
842C8—41no—
843C8—41no—
844C8—41no—
845C8—41no—
846C22—21no—
847C22—21no—
848C22—21no—
849C22—41no—
850C22—41no—
851C22—41no—
852C22—41no—
853C22—41no—
854C22—41no—
855C22—41no—
856C22—41no—
857C22—41no—
858C22—41no—
859C22—41no—
860C22—41no—
861C22—81no—
862C22—81no—
863C22—81no—
864C22—162no—
865C22—162no—
866C22C2×#120×C10311yescharacteristic
867C4—21no—
868C4—21no—
869C4—21no—
870C4—21no—
871C4—21no—
872C4—21no—
873C4—41no—
874C4—41no—
875C4—41no—
876C4—41no—
877C4—41no—
878C4—41no—
879C4—41no—
880C4—41no—
881C4—81no—
882C2—41no—
883C2—81no—
884C2—81no—
885C2—81no—
886C2—81no—
887C2—161no—
888C2C103×#301811yescharacteristic
889C2C103×#301911yescharacteristic
890C2C103×#302111yescharacteristic
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×#3545C2semidirect
2. C103×#3219C2semidirect
3. C103×#3213C2semidirect
4. C103×#3171C2semidirect
5. C103×#1664C2semidirect
6. C103×#1662C2semidirect
7. C103×#1661C2semidirect
8. C103×#1659C2semidirect
9. C103×#1657C2semidirect
10. C103×#1656C2semidirect
11. C103×#1656C2semidirect
12. C103×#1655C2semidirect
13. C103×#1535C2semidirect
14. C103×#1529C2semidirect
15. C103×#1527C2semidirect
32. #532×C103C22semidirect
36. #501×C103C22semidirect
37. #497×C103C22semidirect
39. #496×C103C22semidirect
40. #496×C103C22semidirect
41. #496×C103C22semidirect
42. #491×C103C22semidirect
43. #490×C103C22semidirect
44. #490×C103C22semidirect
46. #489×C103C22semidirect
47. #489×C103C22semidirect
60. #432×C103C22semidirect
61. #432×C103C22semidirect
62. C4×M16×C103C22semidirect
63. #330×C103C22semidirect
64. #330×C103C22semidirect
65. #330×C103C22semidirect
66. #330×C103C22semidirect
69. #329×C103C22semidirect
70. #329×C103C22semidirect
71. #329×C103C22semidirect
72. #329×C103C22semidirect
73. #329×C103C22semidirect
74. #329×C103C22semidirect
436. #19068C103direct (N × H)
446. #3545C2×C103semidirect
447. #3219C2×C103semidirect
448. #3213C2×C103semidirect
449. #3171C2×C103semidirect
450. #1664C2×C103semidirect
451. #1662C2×C103semidirect
452. #1661C2×C103semidirect
453. #1659C2×C103semidirect
454. #1657C2×C103semidirect
455. #1656C2×C103semidirect
456. #1656C2×C103semidirect
457. #1655C2×C103semidirect
458. #1535C2×C103semidirect
459. #1529C2×C103semidirect
460. #1527C2×C103semidirect
461. C103#19068direct (N × H)
478. #532C22×C103semidirect
482. #501C22×C103semidirect
483. #497C22×C103semidirect
485. #496C22×C103semidirect
486. #496C22×C103semidirect
487. #496C22×C103semidirect
488. #491C22×C103semidirect
489. #490C22×C103semidirect
490. #490C22×C103semidirect
492. #489C22×C103semidirect
493. #489C22×C103semidirect
506. #432C22×C103semidirect
507. #432C22×C103semidirect
508. C4×M16C22×C103semidirect
509. #330C22×C103semidirect
510. #330C22×C103semidirect
511. #330C22×C103semidirect
512. #330C22×C103semidirect
515. #329C22×C103semidirect
516. #329C22×C103semidirect
517. #329C22×C103semidirect
518. #329C22×C103semidirect
519. #329C22×C103semidirect
520. #329C22×C103semidirect

Maximal subgroups

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

subgroupindex
C103×#35452
C103×#32192
C103×#32132
C103×#31712
C103×#16642
C103×#16622
C103×#16612
C103×#16592
C103×#16572
C103×#16562
C103×#16552
C103×#15352
C103×#15292
C103×#15272
#19068103