Finite Group Databasebeta

← C103×#18446 #39923721

Subgroups — C103×#18446 #39923721

Order 26368.

1032 conjugacy classes of subgroups.

The subgroup lattice has 1010 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C103×#3534C211yesmaximal, characteristic, complemented
2C103×#3192C211yesmaximal, characteristic, complemented
3C103×#3188C211yesmaximal, characteristic, complemented
4C103×#2813C211yesmaximal, characteristic, complemented
5C103×#1618C211yesmaximal, characteristic, complemented
6C103×#1616C211yesmaximal, characteristic, complemented
7C103×#1615C211yesmaximal, characteristic, complemented
8C103×#1613C211yesmaximal, characteristic, complemented
9C103×#1600C211yesmaximal, characteristic, complemented
10C103×#1598C211yesmaximal, characteristic, complemented
11C103×#1597C211yesmaximal, characteristic, complemented
12C103×#1595C211yesmaximal, characteristic, complemented
13C103×#1519C211yesmaximal, characteristic, complemented
14C103×#1513C211yesmaximal, characteristic, complemented
15C103×#1468C211yesmaximal, characteristic, complemented
16#562×C103—21no—
17#560×C103—21no—
18#553×C103—21no—
19#551×C103—21no—
20#546×C103—21no—
21#546×C103—21no—
22#546×C103—21no—
23D42×C103—21no—
24#540×C103—21no—
25#539×C103—21no—
26#539×C103C2211yescharacteristic
27#538×C103—21no—
28#538×C103C2211yescharacteristic
29#537×C103C2211yescharacteristic
30#534×C103—21no—
31#534×C103C2211yescharacteristic
32#525×C103C2211yescharacteristic
33C2×#123×C103C2211yescharacteristic
34C2×#121×C103C2211yescharacteristic
35C2×#121×C103C2211yescharacteristic, complemented
36#484×C103C2211yescharacteristic, complemented
37#482×C103—21no—
38#481×C103—21no—
39#481×C103C2211yescharacteristic
40#481×C103C2211yescharacteristic, complemented
41#481×C103C2211yescharacteristic, complemented
42#469×C103—21no—
43#469×C103—21no—
44#466×C103—21no—
45#465×C103—21no—
46#450×C103C2211yescharacteristic, complemented
47#449×C103—21no—
48#447×C103—21no—
49#447×C103C2211yescharacteristic
50#447×C103C2211yescharacteristic, complemented
51#447×C103C2211yescharacteristic, complemented
52#407×C103C2211yescharacteristic, complemented
53C2×C22⋊C8×C103C2211yescharacteristic, complemented
54#400×C103C2211yescharacteristic, complemented
55#399×C103C2211yescharacteristic, complemented
56#396×C103—21no—
57#394×C103—21no—
58#394×C103—21no—
59#394×C103C2211yescharacteristic, complemented
60#392×C103—21no—
61#392×C103C2211yescharacteristic, complemented
62#380×C103C2211yescharacteristic, complemented
63#328×C103C2211yescharacteristic, complemented
64#328×C103C2211yescharacteristic, complemented
65#327×C103C2211yescharacteristic
66#327×C103C2211yescharacteristic
67#327×C103C2211yescharacteristic, complemented
68#327×C103C2211yescharacteristic, complemented
69#327×C103C2211yescharacteristic, complemented
70#327×C103C2211yescharacteristic, complemented
71#324×C103C2211yescharacteristic, complemented
72#324×C103C2211yescharacteristic, complemented
73#323×C103C2211yescharacteristic, complemented
74#323×C103C2211yescharacteristic, complemented
75C2×#41×C103—21no—
76C2×#41×C103D411yescharacteristic, complemented
77C22×D4×C103—21no—
78C22×D4×C103—21no—
79C22×D4×C103—21no—
80C22×D4×C103—21no—
81C22×D4×C103—21no—
82C22×D4×C103D411yescharacteristic
83C22×D4×C103D411yescharacteristic, complemented
84C22×D4×C103C2311yescharacteristic
85C23×C4×C103C2311yescharacteristic
86C2×SD16×C103—21no—
87C2×D8×C103—21no—
88C2×D8×C103—21no—
89C2×D8×C103—21no—
90C2×M16×C103—21no—
91C22×C8×C103—21no—
92#127×C103—21no—
93#126×C103—21no—
94#126×C103—21no—
95#126×C103—21no—
96#126×C103—21no—
97#125×C103—21no—
98#125×C103—21no—
99#124×C103—21no—
100#124×C103—21no—
101#124×C103—21no—
102#123×C103—21no—
103#123×C103—21no—
104#123×C103—21no—
105#123×C103—21no—
106#123×C103—21no—
107#123×C103—21no—
108#123×C103—21no—
109#123×C103—21no—
110#123×C103—21no—
111#123×C103—21no—
112#123×C103—21no—
113#123×C103—21no—
114#123×C103—21no—
115#123×C103—21no—
116C22⋊Q8×C103—21no—
117C22⋊Q8×C103—21no—
118C22⋊Q8×C103—21no—
119C22⋊Q8×C103—21no—
120C22⋊Q8×C103—21no—
121C22⋊Q8×C103D411yescharacteristic, complemented
122C22⋊Q8×C103C2311yescharacteristic
123#121×C103—21no—
124#121×C103—21no—
125#121×C103—21no—
126#121×C103—21no—
127#121×C103—21no—
128#121×C103—21no—
129#121×C103—21no—
130#121×C103—21no—
131#121×C103—21no—
132#121×C103—21no—
133#121×C103—21no—
134#121×C103—21no—
135#121×C103—21no—
136#121×C103—21no—
137#121×C103—21no—
138#121×C103—21no—
139#121×C103—21no—
140#121×C103—21no—
141#121×C103—21no—
142#121×C103D411yescharacteristic, complemented
143#121×C103D411yescharacteristic, complemented
144#121×C103D411yescharacteristic, complemented
145#121×C103C2311yescharacteristic
146#121×C103C2311yescharacteristic
147#121×C103C2311yescharacteristic
148#120×C103—21no—
149#120×C103—21no—
150#120×C103—21no—
151#120×C103—21no—
152#120×C103—21no—
153#120×C103—21no—
154#120×C103—21no—
155#120×C103—21no—
156C4×D4×C103—21no—
157C4×D4×C103—21no—
158C4×D4×C103—21no—
159C4×D4×C103—21no—
160C4×D4×C103—21no—
161C4×D4×C103—21no—
162C4×D4×C103—21no—
163C4×D4×C103—21no—
164#117×C103—21no—
165#117×C103D411yescharacteristic, complemented
166C2×C4⋊C4×C103—21no—
167C2×C4⋊C4×C103—21no—
168C2×C4⋊C4×C103D411yescharacteristic
169C2×C4⋊C4×C103D411yescharacteristic, complemented
170C2×C4⋊C4×C103C2311yescharacteristic
171C2×C4⋊C4×C103C2311yescharacteristic
172C2×C22⋊C4×C103—21no—
173C2×C22⋊C4×C103—21no—
174C2×C22⋊C4×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×C22⋊C4×C103—21no—
181C2×C22⋊C4×C103D411yescharacteristic
182C2×C22⋊C4×C103D411yescharacteristic
183C2×C22⋊C4×C103C2311yescharacteristic
184#107×C103—21no—
185#106×C103—21no—
186#106×C103—21no—
187#106×C103—21no—
188#103×C103—21no—
189#102×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—
196C22⋊C8×C103—21no—
197C22⋊C8×C103—21no—
198C22⋊C8×C103C2311yescharacteristic
199C22⋊C8×C103C2311yescharacteristic
200C22⋊C8×C103C2311yescharacteristic
201C22⋊C8×C103C2311yescharacteristic
202#95×C103—21no—
203#95×C103—21no—
204#95×C103C2311yescharacteristic
205#95×C103C2311yescharacteristic
206C24×C103—21no—
207C24×C103—21no—
208C24×C103—21no—
209C24×C103C2×D411yescharacteristic
210C24×C103C2×D411yescharacteristic
211#41×C103—81no—
212#41×C103—81no—
213#41×C103—81no—
214C2×Q8×C103—21no—
215C2×Q8×C103C2×D411yescharacteristic
216C2×D4×C103—21no—
217C2×D4×C103—21no—
218C2×D4×C103—21no—
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—21no—
233C2×D4×C103—21no—
234C2×D4×C103—21no—
235C2×D4×C103—41no—
236C2×D4×C103—41no—
237C2×D4×C103—81no—
238C2×D4×C103—81no—
239C2×D4×C103—81no—
240C2×D4×C103—81no—
241C2×D4×C103—81no—
242C2×D4×C103—81no—
243C2×D4×C103—81no—
244C2×D4×C103—81no—
245C2×D4×C103—81no—
246C2×D4×C103—81no—
247C2×D4×C103—81no—
248C2×D4×C103—81no—
249C2×D4×C103—82no—
250C2×D4×C103C2×D411yescharacteristic
251C2×D4×C103C2×D411yescharacteristic
252C2×D4×C103C2×D411yescharacteristic
253C22×C4×C103—21no—
254C22×C4×C103—21no—
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—21no—
262C22×C4×C103—21no—
263C22×C4×C103—81no—
264C22×C4×C103C2×D411yescharacteristic
265C22×C4×C103C2×D411yescharacteristic
266C22×C4×C103C2×D411yescharacteristic
267C22×C4×C103C2×D411yescharacteristic
268C22×C4×C103C2×D411yescharacteristic
269C22×C4×C103C2×D411yescharacteristic
270C22×C4×C103C2×D411yescharacteristic
271C22×C4×C103C2×D411yescharacteristic
272C22×C4×C103C2411yescharacteristic
273SD16×C103—81no—
274D8×C103—81no—
275D8×C103—81no—
276D8×C103—81no—
277M16×C103—81no—
278C2×C8×C103—21no—
279C2×C8×C103—21no—
280C2×C8×C103—21no—
281C2×C8×C103—21no—
282C2×C8×C103—81no—
283C4⋊C4×C103—21no—
284C4⋊C4×C103—21no—
285C4⋊C4×C103—21no—
286C4⋊C4×C103—21no—
287C4⋊C4×C103—21no—
288C4⋊C4×C103—21no—
289C4⋊C4×C103—21no—
290C4⋊C4×C103—21no—
291C4⋊C4×C103—21no—
292C4⋊C4×C103—21no—
293C4⋊C4×C103—21no—
294C4⋊C4×C103—21no—
295C4⋊C4×C103—21no—
296C4⋊C4×C103—21no—
297C4⋊C4×C103—21no—
298C4⋊C4×C103—81no—
299C4⋊C4×C103—81no—
300C4⋊C4×C103C2×D411yescharacteristic
301C4⋊C4×C103C2×D411yescharacteristic
302C4⋊C4×C103C2×D411yescharacteristic
303C4⋊C4×C103C2×D411yescharacteristic
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—21no—
317C22⋊C4×C103—21no—
318C22⋊C4×C103—21no—
319C22⋊C4×C103—21no—
320C22⋊C4×C103—21no—
321C22⋊C4×C103—21no—
322C22⋊C4×C103—21no—
323C22⋊C4×C103—21no—
324C22⋊C4×C103—21no—
325C22⋊C4×C103—21no—
326C22⋊C4×C103—21no—
327C22⋊C4×C103—21no—
328C22⋊C4×C103—21no—
329C22⋊C4×C103—41no—
330C22⋊C4×C103—41no—
331C22⋊C4×C103—81no—
332C22⋊C4×C103—81no—
333C22⋊C4×C103—81no—
334C22⋊C4×C103—81no—
335C22⋊C4×C103—81no—
336C42×C103—21no—
337C42×C103—21no—
338C42×C103—21no—
339C23×C103—21no—
340C23×C103—21no—
341C23×C103—21no—
342C23×C103—21no—
343C23×C103—21no—
344C23×C103—21no—
345C23×C103—21no—
346C23×C103—21no—
347C23×C103—41no—
348C23×C103—41no—
349C23×C103—42no—
350C23×C103—41no—
351C23×C103—41no—
352C23×C103—41no—
353C23×C103—41no—
354C23×C103—41no—
355C23×C103—41no—
356C23×C103—41no—
357C23×C103—41no—
358C23×C103—41no—
359C23×C103—81no—
360C23×C103—81no—
361C23×C103—81no—
362C23×C103—81no—
363C23×C103—81no—
364C23×C103#12011yescharacteristic
365C23×C103#12011yescharacteristic
366C23×C103C22×D411yescharacteristic
367Q8×C103—41no—
368Q8×C103—81no—
369D4×C103—41no—
370D4×C103—41no—
371D4×C103—41no—
372D4×C103—41no—
373D4×C103—41no—
374D4×C103—41no—
375D4×C103—41no—
376D4×C103—42no—
377D4×C103—42no—
378D4×C103—41no—
379D4×C103—41no—
380D4×C103—41no—
381D4×C103—41no—
382D4×C103—41no—
383D4×C103—41no—
384D4×C103—81no—
385D4×C103—81no—
386D4×C103—81no—
387D4×C103—81no—
388D4×C103—81no—
389D4×C103—81no—
390D4×C103—81no—
391D4×C103—81no—
392D4×C103—81no—
393D4×C103—81no—
394D4×C103—81no—
395D4×C103—81no—
396D4×C103—82no—
397D4×C103—82no—
398D4×C103—84no—
399C2×C4×C103—21no—
400C2×C4×C103—21no—
401C2×C4×C103—21no—
402C2×C4×C103—21no—
403C2×C4×C103—21no—
404C2×C4×C103—21no—
405C2×C4×C103—21no—
406C2×C4×C103—21no—
407C2×C4×C103—21no—
408C2×C4×C103—21no—
409C2×C4×C103—41no—
410C2×C4×C103—41no—
411C2×C4×C103—41no—
412C2×C4×C103—41no—
413C2×C4×C103—41no—
414C2×C4×C103—41no—
415C2×C4×C103—41no—
416C2×C4×C103—41no—
417C2×C4×C103—41no—
418C2×C4×C103—41no—
419C2×C4×C103—41no—
420C2×C4×C103—41no—
421C2×C4×C103—41no—
422C2×C4×C103—41no—
423C2×C4×C103—41no—
424C2×C4×C103—41no—
425C2×C4×C103—41no—
426C2×C4×C103—81no—
427C2×C4×C103—81no—
428C2×C4×C103—81no—
429C2×C4×C103—81no—
430C2×C4×C103—81no—
431C2×C4×C103—81no—
432C2×C4×C103—81no—
433C2×C4×C103#12011yescharacteristic
434C2×C4×C103#12011yescharacteristic
435C2×C4×C103C22×D411yescharacteristic
436C2×C4×C103C22×D411yescharacteristic
437C8×C103—41no—
438C8×C103—41no—
439C8×C103—41no—
440C8×C103—41no—
441C22×C103—21no—
442C22×C103—21no—
443C22×C103—21no—
444C22×C103—21no—
445C22×C103—21no—
446C22×C103—21no—
447C22×C103—21no—
448C22×C103—21no—
449C22×C103—41no—
450C22×C103—41no—
451C22×C103—41no—
452C22×C103—41no—
453C22×C103—41no—
454C22×C103—41no—
455C22×C103—41no—
456C22×C103—41no—
457C22×C103—41no—
458C22×C103—41no—
459C22×C103—41no—
460C22×C103—41no—
461C22×C103—81no—
462C22×C103—81no—
463C22×C103—81no—
464C22×C103—81no—
465C22×C103—81no—
466C22×C103—81no—
467C22×C103—81no—
468C22×C103—81no—
469C22×C103—81no—
470C22×C103—81no—
471C22×C103—81no—
472C22×C103—162no—
473C22×C103—162no—
474C22×C103C2×#12011yescharacteristic
475C22×C103#57611yescharacteristic
476C22×C103#57711yescharacteristic
477C4×C103—21no—
478C4×C103—21no—
479C4×C103—21no—
480C4×C103—21no—
481C4×C103—41no—
482C4×C103—41no—
483C4×C103—41no—
484C4×C103—41no—
485C4×C103—41no—
486C4×C103—41no—
487C4×C103—41no—
488C4×C103—41no—
489C4×C103—81no—
490C4×C103—81no—
491C4×C103—81no—
492#18446C10311yesmaximal, characteristic, direct product factor, Sylow
493C2×C103—21no—
494C2×C103—21no—
495C2×C103—41no—
496C2×C103—41no—
497C2×C103—81no—
498C2×C103—81no—
499C2×C103—81no—
500C2×C103—81no—
501C2×C103—161no—
502C2×C103#301211yescharacteristic
503C2×C103#302111yescharacteristic
504C2×C103#302611yescharacteristic
505#3534C2×C10311yescharacteristic, complemented
506#3192C2×C10311yescharacteristic, complemented
507#3188C2×C10311yescharacteristic, complemented
508#2813C2×C10311yescharacteristic, complemented
509#1618C2×C10311yescharacteristic, complemented
510#1616C2×C10311yescharacteristic, complemented
511#1615C2×C10311yescharacteristic, complemented
512#1613C2×C10311yescharacteristic, complemented
513#1600C2×C10311yescharacteristic, complemented
514#1598C2×C10311yescharacteristic, complemented
515#1597C2×C10311yescharacteristic, complemented
516#1595C2×C10311yescharacteristic, complemented
517#1519C2×C10311yescharacteristic, complemented
518#1513C2×C10311yescharacteristic, complemented
519#1468C2×C10311yescharacteristic, complemented
520C103#1844611yescharacteristic, direct product factor, Sylow
521#562—21no—
522#560—21no—
523#553—21no—
524#551—21no—
525#546—21no—
526#546—21no—
527#546—21no—
528D42—21no—
529#540—21no—
530#539—21no—
531#539C22×C10311yescharacteristic
532#538—21no—
533#538C22×C10311yescharacteristic
534#537C22×C10311yescharacteristic
535#534—21no—
536#534C22×C10311yescharacteristic
537#525C22×C10311yescharacteristic
538C2×#123C22×C10311yescharacteristic
539C2×#121C22×C10311yescharacteristic
540C2×#121C22×C10311yescharacteristic, complemented
541#484C22×C10311yescharacteristic, complemented
542#482—21no—
543#481—21no—
544#481C22×C10311yescharacteristic
545#481C22×C10311yescharacteristic, complemented
546#481C22×C10311yescharacteristic, complemented
547#469—21no—
548#469—21no—
549#466—21no—
550#465—21no—
551#450C22×C10311yescharacteristic, complemented
552#449—21no—
553#447—21no—
554#447C22×C10311yescharacteristic
555#447C22×C10311yescharacteristic, complemented
556#447C22×C10311yescharacteristic, complemented
557#407C22×C10311yescharacteristic, complemented
558C2×C22⋊C8C22×C10311yescharacteristic, complemented
559#400C22×C10311yescharacteristic, complemented
560#399C22×C10311yescharacteristic, complemented
561#396—21no—
562#394—21no—
563#394—21no—
564#394C22×C10311yescharacteristic, complemented
565#392—21no—
566#392C22×C10311yescharacteristic, complemented
567#380C22×C10311yescharacteristic, complemented
568#328C22×C10311yescharacteristic, complemented
569#328C22×C10311yescharacteristic, complemented
570#327C22×C10311yescharacteristic
571#327C22×C10311yescharacteristic
572#327C22×C10311yescharacteristic, complemented
573#327C22×C10311yescharacteristic, complemented
574#327C22×C10311yescharacteristic, complemented
575#327C22×C10311yescharacteristic, complemented
576#324C22×C10311yescharacteristic, complemented
577#324C22×C10311yescharacteristic, complemented
578#323C22×C10311yescharacteristic, complemented
579#323C22×C10311yescharacteristic, complemented
580C2×#41—21no—
581C2×#41D4×C10311yescharacteristic, complemented
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—21no—
587C22×D4D4×C10311yescharacteristic
588C22×D4D4×C10311yescharacteristic, complemented
589C22×D4C23×C10311yescharacteristic
590C23×C4C23×C10311yescharacteristic
591C2×SD16—21no—
592C2×D8—21no—
593C2×D8—21no—
594C2×D8—21no—
595C2×M16—21no—
596C22×C8—21no—
597#127—21no—
598#126—21no—
599#126—21no—
600#126—21no—
601#126—21no—
602#125—21no—
603#125—21no—
604#124—21no—
605#124—21no—
606#124—21no—
607#123—21no—
608#123—21no—
609#123—21no—
610#123—21no—
611#123—21no—
612#123—21no—
613#123—21no—
614#123—21no—
615#123—21no—
616#123—21no—
617#123—21no—
618#123—21no—
619#123—21no—
620#123—21no—
621C22⋊Q8—21no—
622C22⋊Q8—21no—
623C22⋊Q8—21no—
624C22⋊Q8—21no—
625C22⋊Q8—21no—
626C22⋊Q8D4×C10311yescharacteristic, complemented
627C22⋊Q8C23×C10311yescharacteristic
628#121—21no—
629#121—21no—
630#121—21no—
631#121—21no—
632#121—21no—
633#121—21no—
634#121—21no—
635#121—21no—
636#121—21no—
637#121—21no—
638#121—21no—
639#121—21no—
640#121—21no—
641#121—21no—
642#121—21no—
643#121—21no—
644#121—21no—
645#121—21no—
646#121—21no—
647#121D4×C10311yescharacteristic, complemented
648#121D4×C10311yescharacteristic, complemented
649#121D4×C10311yescharacteristic, complemented
650#121C23×C10311yescharacteristic
651#121C23×C10311yescharacteristic
652#121C23×C10311yescharacteristic
653#120—21no—
654#120—21no—
655#120—21no—
656#120—21no—
657#120—21no—
658#120—21no—
659#120—21no—
660#120—21no—
661C4×D4—21no—
662C4×D4—21no—
663C4×D4—21no—
664C4×D4—21no—
665C4×D4—21no—
666C4×D4—21no—
667C4×D4—21no—
668C4×D4—21no—
669#117—21no—
670#117D4×C10311yescharacteristic, complemented
671C2×C4⋊C4—21no—
672C2×C4⋊C4—21no—
673C2×C4⋊C4D4×C10311yescharacteristic
674C2×C4⋊C4D4×C10311yescharacteristic, complemented
675C2×C4⋊C4C23×C10311yescharacteristic
676C2×C4⋊C4C23×C10311yescharacteristic
677C2×C22⋊C4—21no—
678C2×C22⋊C4—21no—
679C2×C22⋊C4—21no—
680C2×C22⋊C4—21no—
681C2×C22⋊C4—21no—
682C2×C22⋊C4—21no—
683C2×C22⋊C4—21no—
684C2×C22⋊C4—21no—
685C2×C22⋊C4—21no—
686C2×C22⋊C4D4×C10311yescharacteristic
687C2×C22⋊C4D4×C10311yescharacteristic
688C2×C22⋊C4C23×C10311yescharacteristic
689#107—21no—
690#106—21no—
691#106—21no—
692#106—21no—
693#103—21no—
694#102—21no—
695#102—21no—
696#102—21no—
697#102—21no—
698#102—21no—
699#102—21no—
700#102—21no—
701C22⋊C8—21no—
702C22⋊C8—21no—
703C22⋊C8C23×C10311yescharacteristic
704C22⋊C8C23×C10311yescharacteristic
705C22⋊C8C23×C10311yescharacteristic
706C22⋊C8C23×C10311yescharacteristic
707#95—21no—
708#95—21no—
709#95C23×C10311yescharacteristic
710#95C23×C10311yescharacteristic
711C24—21no—
712C24—21no—
713C24—21no—
714C24C2×D4×C10311yescharacteristic
715C24C2×D4×C10311yescharacteristic
716#41—81no—
717#41—81no—
718#41—81no—
719C2×Q8—21no—
720C2×Q8C2×D4×C10311yescharacteristic
721C2×D4—21no—
722C2×D4—21no—
723C2×D4—21no—
724C2×D4—21no—
725C2×D4—21no—
726C2×D4—21no—
727C2×D4—21no—
728C2×D4—21no—
729C2×D4—21no—
730C2×D4—21no—
731C2×D4—21no—
732C2×D4—21no—
733C2×D4—21no—
734C2×D4—21no—
735C2×D4—21no—
736C2×D4—21no—
737C2×D4—21no—
738C2×D4—21no—
739C2×D4—21no—
740C2×D4—41no—
741C2×D4—41no—
742C2×D4—81no—
743C2×D4—81no—
744C2×D4—81no—
745C2×D4—81no—
746C2×D4—81no—
747C2×D4—81no—
748C2×D4—81no—
749C2×D4—81no—
750C2×D4—81no—
751C2×D4—81no—
752C2×D4—81no—
753C2×D4—81no—
754C2×D4—82no—
755C2×D4C2×D4×C10311yescharacteristic
756C2×D4C2×D4×C10311yescharacteristic
757C2×D4C2×D4×C10311yescharacteristic
758C22×C4—21no—
759C22×C4—21no—
760C22×C4—21no—
761C22×C4—21no—
762C22×C4—21no—
763C22×C4—21no—
764C22×C4—21no—
765C22×C4—21no—
766C22×C4—21no—
767C22×C4—21no—
768C22×C4—81no—
769C22×C4C2×D4×C10311yescharacteristic
770C22×C4C2×D4×C10311yescharacteristic
771C22×C4C2×D4×C10311yescharacteristic
772C22×C4C2×D4×C10311yescharacteristic
773C22×C4C2×D4×C10311yescharacteristic
774C22×C4C2×D4×C10311yescharacteristic
775C22×C4C2×D4×C10311yescharacteristic
776C22×C4C2×D4×C10311yescharacteristic
777C22×C4C24×C10311yescharacteristic
778SD16—81no—
779D8—81no—
780D8—81no—
781D8—81no—
782M16—81no—
783C2×C8—21no—
784C2×C8—21no—
785C2×C8—21no—
786C2×C8—21no—
787C2×C8—81no—
788C4⋊C4—21no—
789C4⋊C4—21no—
790C4⋊C4—21no—
791C4⋊C4—21no—
792C4⋊C4—21no—
793C4⋊C4—21no—
794C4⋊C4—21no—
795C4⋊C4—21no—
796C4⋊C4—21no—
797C4⋊C4—21no—
798C4⋊C4—21no—
799C4⋊C4—21no—
800C4⋊C4—21no—
801C4⋊C4—21no—
802C4⋊C4—21no—
803C4⋊C4—81no—
804C4⋊C4—81no—
805C4⋊C4C2×D4×C10311yescharacteristic
806C4⋊C4C2×D4×C10311yescharacteristic
807C4⋊C4C2×D4×C10311yescharacteristic
808C4⋊C4C2×D4×C10311yescharacteristic
809C22⋊C4—21no—
810C22⋊C4—21no—
811C22⋊C4—21no—
812C22⋊C4—21no—
813C22⋊C4—21no—
814C22⋊C4—21no—
815C22⋊C4—21no—
816C22⋊C4—21no—
817C22⋊C4—21no—
818C22⋊C4—21no—
819C22⋊C4—21no—
820C22⋊C4—21no—
821C22⋊C4—21no—
822C22⋊C4—21no—
823C22⋊C4—21no—
824C22⋊C4—21no—
825C22⋊C4—21no—
826C22⋊C4—21no—
827C22⋊C4—21no—
828C22⋊C4—21no—
829C22⋊C4—21no—
830C22⋊C4—21no—
831C22⋊C4—21no—
832C22⋊C4—21no—
833C22⋊C4—21no—
834C22⋊C4—41no—
835C22⋊C4—41no—
836C22⋊C4—81no—
837C22⋊C4—81no—
838C22⋊C4—81no—
839C22⋊C4—81no—
840C22⋊C4—81no—
841C42—21no—
842C42—21no—
843C42—21no—
844C23—21no—
845C23—21no—
846C23—21no—
847C23—21no—
848C23—21no—
849C23—21no—
850C23—21no—
851C23—21no—
852C23—41no—
853C23—41no—
854C23—42no—
855C23—41no—
856C23—41no—
857C23—41no—
858C23—41no—
859C23—41no—
860C23—41no—
861C23—41no—
862C23—41no—
863C23—41no—
864C23—81no—
865C23—81no—
866C23—81no—
867C23—81no—
868C23—81no—
869C23#120×C10311yescharacteristic
870C23#120×C10311yescharacteristic
871C23C22×D4×C10311yescharacteristic
872Q8—41no—
873Q8—81no—
874D4—41no—
875D4—41no—
876D4—41no—
877D4—41no—
878D4—41no—
879D4—41no—
880D4—41no—
881D4—42no—
882D4—42no—
883D4—41no—
884D4—41no—
885D4—41no—
886D4—41no—
887D4—41no—
888D4—41no—
889D4—81no—
890D4—81no—
891D4—81no—
892D4—81no—
893D4—81no—
894D4—81no—
895D4—81no—
896D4—81no—
897D4—81no—
898D4—81no—
899D4—81no—
900D4—81no—
901D4—82no—
902D4—82no—
903D4—84no—
904C2×C4—21no—
905C2×C4—21no—
906C2×C4—21no—
907C2×C4—21no—
908C2×C4—21no—
909C2×C4—21no—
910C2×C4—21no—
911C2×C4—21no—
912C2×C4—21no—
913C2×C4—21no—
914C2×C4—41no—
915C2×C4—41no—
916C2×C4—41no—
917C2×C4—41no—
918C2×C4—41no—
919C2×C4—41no—
920C2×C4—41no—
921C2×C4—41no—
922C2×C4—41no—
923C2×C4—41no—
924C2×C4—41no—
925C2×C4—41no—
926C2×C4—41no—
927C2×C4—41no—
928C2×C4—41no—
929C2×C4—41no—
930C2×C4—41no—
931C2×C4—81no—
932C2×C4—81no—
933C2×C4—81no—
934C2×C4—81no—
935C2×C4—81no—
936C2×C4—81no—
937C2×C4—81no—
938C2×C4#120×C10311yescharacteristic
939C2×C4#120×C10311yescharacteristic
940C2×C4C22×D4×C10311yescharacteristic
941C2×C4C22×D4×C10311yescharacteristic
942C8—41no—
943C8—41no—
944C8—41no—
945C8—41no—
946C22—21no—
947C22—21no—
948C22—21no—
949C22—21no—
950C22—21no—
951C22—21no—
952C22—21no—
953C22—21no—
954C22—41no—
955C22—41no—
956C22—41no—
957C22—41no—
958C22—41no—
959C22—41no—
960C22—41no—
961C22—41no—
962C22—41no—
963C22—41no—
964C22—41no—
965C22—41no—
966C22—81no—
967C22—81no—
968C22—81no—
969C22—81no—
970C22—81no—
971C22—81no—
972C22—81no—
973C22—81no—
974C22—81no—
975C22—81no—
976C22—81no—
977C22—162no—
978C22—162no—
979C22C2×#120×C10311yescharacteristic
980C22#576×C10311yescharacteristic
981C22#577×C10311yescharacteristic
982C4—21no—
983C4—21no—
984C4—21no—
985C4—21no—
986C4—41no—
987C4—41no—
988C4—41no—
989C4—41no—
990C4—41no—
991C4—41no—
992C4—41no—
993C4—41no—
994C4—81no—
995C4—81no—
996C4—81no—
997C2—21no—
998C2—21no—
999C2—41no—
1000C2—41no—
1001C2—81no—
1002C2—81no—
1003C2—81no—
1004C2—81no—
1005C2—161no—
1006C2C103×#301211yescharacteristic
1007C2C103×#302111yescharacteristic
1008C2C103×#302611yescharacteristic
subgroupG/H
center, socleC22×C103C2×#120
commutator, Frattini, cosocleC22×C4C24×C103
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C103 ◁ C23×C4×C103 ◁ G

Complements

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

NH ≅ G/Ntype
1. C103×#3534C2semidirect
2. C103×#3192C2semidirect
3. C103×#3188C2semidirect
4. C103×#2813C2semidirect
5. C103×#1618C2semidirect
6. C103×#1616C2semidirect
7. C103×#1615C2semidirect
8. C103×#1613C2semidirect
9. C103×#1600C2semidirect
10. C103×#1598C2semidirect
11. C103×#1597C2semidirect
12. C103×#1595C2semidirect
13. C103×#1519C2semidirect
14. C103×#1513C2semidirect
15. C103×#1468C2semidirect
35. C2×#121×C103C22semidirect
36. #484×C103C22semidirect
40. #481×C103C22semidirect
41. #481×C103C22semidirect
46. #450×C103C22semidirect
50. #447×C103C22semidirect
51. #447×C103C22semidirect
52. #407×C103C22semidirect
53. C2×C22⋊C8×C103C22semidirect
54. #400×C103C22semidirect
55. #399×C103C22semidirect
59. #394×C103C22semidirect
61. #392×C103C22semidirect
62. #380×C103C22semidirect
63. #328×C103C22semidirect
64. #328×C103C22semidirect
67. #327×C103C22semidirect
68. #327×C103C22semidirect
69. #327×C103C22semidirect
70. #327×C103C22semidirect
71. #324×C103C22semidirect
72. #324×C103C22semidirect
73. #323×C103C22semidirect
74. #323×C103C22semidirect
76. C2×#41×C103D4semidirect
83. C22×D4×C103D4semidirect
121. C22⋊Q8×C103D4semidirect
142. #121×C103D4semidirect
143. #121×C103D4semidirect
144. #121×C103D4semidirect
165. #117×C103D4semidirect
169. C2×C4⋊C4×C103D4semidirect
492. #18446C103direct (N × H)
505. #3534C2×C103semidirect
506. #3192C2×C103semidirect
507. #3188C2×C103semidirect
508. #2813C2×C103semidirect
509. #1618C2×C103semidirect
510. #1616C2×C103semidirect
511. #1615C2×C103semidirect
512. #1613C2×C103semidirect
513. #1600C2×C103semidirect
514. #1598C2×C103semidirect
515. #1597C2×C103semidirect
516. #1595C2×C103semidirect
517. #1519C2×C103semidirect
518. #1513C2×C103semidirect
519. #1468C2×C103semidirect
520. C103#18446direct (N × H)
540. C2×#121C22×C103semidirect
541. #484C22×C103semidirect
545. #481C22×C103semidirect
546. #481C22×C103semidirect
551. #450C22×C103semidirect
555. #447C22×C103semidirect
556. #447C22×C103semidirect
557. #407C22×C103semidirect
558. C2×C22⋊C8C22×C103semidirect
559. #400C22×C103semidirect
560. #399C22×C103semidirect
564. #394C22×C103semidirect
566. #392C22×C103semidirect
567. #380C22×C103semidirect
568. #328C22×C103semidirect
569. #328C22×C103semidirect
572. #327C22×C103semidirect
573. #327C22×C103semidirect
574. #327C22×C103semidirect
575. #327C22×C103semidirect
576. #324C22×C103semidirect
577. #324C22×C103semidirect
578. #323C22×C103semidirect
579. #323C22×C103semidirect
581. C2×#41D4×C103semidirect
588. C22×D4D4×C103semidirect
626. C22⋊Q8D4×C103semidirect
647. #121D4×C103semidirect
648. #121D4×C103semidirect
649. #121D4×C103semidirect
670. #117D4×C103semidirect
674. C2×C4⋊C4D4×C103semidirect

Maximal subgroups

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

subgroupindex
C103×#35342
C103×#31922
C103×#31882
C103×#28132
C103×#16182
C103×#16162
C103×#16152
C103×#16132
C103×#16002
C103×#15982
C103×#15972
C103×#15952
C103×#15192
C103×#15132
C103×#14682
#18446103