Finite Group Databasebeta

← C103×#18661 #39923936

Subgroups — C103×#18661 #39923936

Order 26368.

874 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C103×#3515C211yesmaximal, characteristic
2C103×#3233C211yesmaximal, characteristic, complemented
3C103×#3170C211yesmaximal, characteristic, complemented
4C103×#3116C211yesmaximal, characteristic, complemented
5C103×#1648C211yesmaximal, characteristic, complemented
6C103×#1647C211yesmaximal, characteristic, complemented
7C103×#1644C211yesmaximal, characteristic, complemented
8C103×#1643C211yesmaximal, characteristic, complemented
9C103×#1636C211yesmaximal, characteristic, complemented
10C103×#1635C211yesmaximal, characteristic, complemented
11C103×#1632C211yesmaximal, characteristic, complemented
12C103×#1632C211yesmaximal, characteristic, complemented
13C103×#1554C211yesmaximal, characteristic, complemented
14C103×#1494C211yesmaximal, characteristic, complemented
15C103×#1476C211yesmaximal, characteristic, complemented
16#557×C103C2211yescharacteristic
17#554×C103C2211yescharacteristic
18#554×C103C2211yescharacteristic
19#553×C103—21no—
20#552×C103—21no—
21#552×C103—22no—
22#552×C103—21no—
23#547×C103—21no—
24#547×C103C2211yescharacteristic
25#541×C103—21no—
26#539×C103—22no—
27#533×C103C2211yescharacteristic
28#533×C103C2211yescharacteristic
29#529×C103—21no—
30#529×C103C2211yescharacteristic
31C2×#125×C103—21no—
32#520×C103—21no—
33C4×#41×C103C2211yescharacteristic
34#500×C103C2211yescharacteristic
35#499×C103—21no—
36#494×C103C2211yescharacteristic
37#488×C103—21no—
38#487×C103C2211yescharacteristic
39#487×C103C2211yescharacteristic
40#485×C103—21no—
41#485×C103—21no—
42#482×C103—21no—
43#477×C103C2211yescharacteristic
44#477×C103C2211yescharacteristic
45#476×C103C2211yescharacteristic
46#476×C103C2211yescharacteristic
47#475×C103C2211yescharacteristic
48#474×C103C2211yescharacteristic
49#467×C103—22no—
50#462×C103C2211yescharacteristic
51#461×C103C2211yescharacteristic
52#452×C103—21no—
53#441×C103—21no—
54#440×C103—21no—
55C4×Q16×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
73C2×Q16×C103—22no—
74C2×Q16×C103—21no—
75C2×SD16×C103—21no—
76C22×C8×C103—21no—
77C4⋊Q8×C103—21no—
78C4⋊Q8×C103C2311yescharacteristic
79C4⋊Q8×C103C2311yescharacteristic
80C4⋊Q8×C103C2311yescharacteristic
81C4⋊Q8×C103C2311yescharacteristic
82#126×C103—22no—
83#126×C103—22no—
84#126×C103—22no—
85#126×C103—21no—
86#125×C103—22no—
87#125×C103—22no—
88#125×C103—22no—
89#125×C103—21no—
90#125×C103—21no—
91#125×C103—22no—
92#125×C103—21no—
93#125×C103—21no—
94#125×C103—21no—
95#125×C103D411yescharacteristic
96#124×C103D411yescharacteristic
97#123×C103—22no—
98#123×C103—22no—
99#123×C103—22no—
100#123×C103—21no—
101#123×C103—22no—
102C22⋊Q8×C103—21no—
103C22⋊Q8×C103—22no—
104C22⋊Q8×C103—22no—
105C22⋊Q8×C103—21no—
106C22⋊Q8×C103—21no—
107C22⋊Q8×C103—21no—
108C22⋊Q8×C103—21no—
109C22⋊Q8×C103—21no—
110C22⋊Q8×C103D412yes—
111C22⋊Q8×C103D411yescharacteristic
112#121×C103—22no—
113#121×C103—21no—
114#121×C103D411yescharacteristic
115C4×Q8×C103—21no—
116C4×Q8×C103—21no—
117C4×Q8×C103—21no—
118C4×Q8×C103—21no—
119C4×Q8×C103—21no—
120C4×Q8×C103D412yes—
121C4×Q8×C103D411yescharacteristic
122C4×Q8×C103C2311yescharacteristic
123C4×Q8×C103C2311yescharacteristic
124C4×D4×C103—22no—
125C4×D4×C103—22no—
126C4×D4×C103—21no—
127C4×D4×C103—21no—
128C4×D4×C103—21no—
129C4×D4×C103—21no—
130C4×D4×C103—21no—
131C4×D4×C103D411yescharacteristic
132C4×D4×C103C2311yescharacteristic
133C4×D4×C103C2311yescharacteristic
134#117×C103—22no—
135#117×C103—22no—
136#117×C103—21no—
137#117×C103—21no—
138#117×C103—21no—
139#117×C103—21no—
140#117×C103D411yescharacteristic
141C2×C4⋊C4×C103—22no—
142C2×C4⋊C4×C103—22no—
143C2×C4⋊C4×C103—21no—
144C2×C4⋊C4×C103—21no—
145C2×C4⋊C4×C103—21no—
146C2×C42×C103—21no—
147C2×C42×C103C2311yescharacteristic
148#107×C103—22no—
149#107×C103—21no—
150#107×C103—21no—
151#107×C103—21no—
152#106×C103—21no—
153#106×C103—21no—
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#103×C103—22no—
164#103×C103—21no—
165#103×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—42no—
179#41×C103—42no—
180C2×Q8×C103—21no—
181C2×Q8×C103—21no—
182C2×Q8×C103—21no—
183C2×Q8×C103C2×D411yescharacteristic
184C2×Q8×C103C2×D411yescharacteristic
185C2×Q8×C103C2×D412yes—
186C2×D4×C103—22no—
187C2×D4×C103—21no—
188C2×D4×C103—21no—
189C2×D4×C103C2×D411yescharacteristic
190C2×D4×C103C2×D411yescharacteristic
191C22×C4×C103—22no—
192C22×C4×C103—22no—
193C22×C4×C103—22no—
194C22×C4×C103—21no—
195C22×C4×C103—21no—
196C22×C4×C103—21no—
197C22×C4×C103—21no—
198C22×C4×C103C2×D411yescharacteristic
199C22×C4×C103C2×D411yescharacteristic
200C22×C4×C103C2×D411yescharacteristic
201Q16×C103—44no—
202Q16×C103—42no—
203SD16×C103—42no—
204C2×C8×C103—21no—
205C2×C8×C103—21no—
206C2×C8×C103—21no—
207C2×C8×C103—21no—
208C2×C8×C103—21no—
209C2×C8×C103—21no—
210C2×C8×C103—42no—
211C4⋊C4×C103—22no—
212C4⋊C4×C103—22no—
213C4⋊C4×C103—22no—
214C4⋊C4×C103—22no—
215C4⋊C4×C103—22no—
216C4⋊C4×C103—22no—
217C4⋊C4×C103—22no—
218C4⋊C4×C103—22no—
219C4⋊C4×C103—21no—
220C4⋊C4×C103—21no—
221C4⋊C4×C103—22no—
222C4⋊C4×C103—22no—
223C4⋊C4×C103—21no—
224C4⋊C4×C103—21no—
225C4⋊C4×C103—21no—
226C4⋊C4×C103—21no—
227C4⋊C4×C103—21no—
228C4⋊C4×C103—21no—
229C4⋊C4×C103—21no—
230C4⋊C4×C103—21no—
231C4⋊C4×C103—21no—
232C4⋊C4×C103—21no—
233C4⋊C4×C103—21no—
234C4⋊C4×C103—41no—
235C4⋊C4×C103—41no—
236C4⋊C4×C103C2×D411yescharacteristic
237C4⋊C4×C103C2×D411yescharacteristic
238C4⋊C4×C103C2×D412yes—
239C4⋊C4×C103C2×D411yescharacteristic
240C4⋊C4×C103C2×D411yescharacteristic
241C22⋊C4×C103—22no—
242C22⋊C4×C103—22no—
243C22⋊C4×C103—22no—
244C22⋊C4×C103—22no—
245C22⋊C4×C103—21no—
246C22⋊C4×C103—21no—
247C22⋊C4×C103—21no—
248C22⋊C4×C103—21no—
249C22⋊C4×C103—21no—
250C22⋊C4×C103—21no—
251C22⋊C4×C103—21no—
252C22⋊C4×C103—21no—
253C22⋊C4×C103—41no—
254C42×C103—22no—
255C42×C103—21no—
256C42×C103—21no—
257C42×C103—22no—
258C42×C103—21no—
259C42×C103—21no—
260C42×C103—41no—
261C42×C103C2×D411yescharacteristic
262C42×C103C2×D411yescharacteristic
263C42×C103C2×D411yescharacteristic
264C42×C103C2411yescharacteristic
265C23×C103—21no—
266C23×C103—21no—
267C23×C103#12011yescharacteristic
268Q8×C103—21no—
269Q8×C103—21no—
270Q8×C103—21no—
271Q8×C103—21no—
272Q8×C103—42no—
273Q8×C103—42no—
274Q8×C103—41no—
275Q8×C103—41no—
276Q8×C103—41no—
277Q8×C103—41no—
278D4×C103—21no—
279D4×C103—21no—
280D4×C103—21no—
281D4×C103—42no—
282D4×C103—44no—
283D4×C103—81no—
284D4×C103#13512yes—
285C2×C4×C103—21no—
286C2×C4×C103—21no—
287C2×C4×C103—21no—
288C2×C4×C103—21no—
289C2×C4×C103—21no—
290C2×C4×C103—21no—
291C2×C4×C103—21no—
292C2×C4×C103—21no—
293C2×C4×C103—22no—
294C2×C4×C103—22no—
295C2×C4×C103—21no—
296C2×C4×C103—21no—
297C2×C4×C103—41no—
298C2×C4×C103—42no—
299C2×C4×C103—44no—
300C2×C4×C103—41no—
301C2×C4×C103—41no—
302C2×C4×C103—41no—
303C2×C4×C103—41no—
304C2×C4×C103—41no—
305C2×C4×C103—41no—
306C2×C4×C103—81no—
307C2×C4×C103—82no—
308C2×C4×C103—82no—
309C2×C4×C103#12011yescharacteristic
310C2×C4×C103#12011yescharacteristic
311C2×C4×C103#12011yescharacteristic
312C2×C4×C103C22×D411yescharacteristic
313C2×C4×C103C22×D411yescharacteristic
314C2×C4×C103C22×D411yescharacteristic
315C8×C103—22no—
316C8×C103—41no—
317C8×C103—41no—
318C8×C103—41no—
319C8×C103—41no—
320C8×C103—41no—
321C22×C103—21no—
322C22×C103—22no—
323C22×C103—21no—
324C22×C103—21no—
325C22×C103—41no—
326C22×C103—41no—
327C22×C103—41no—
328C22×C103—41no—
329C22×C103—41no—
330C22×C103C2×#12011yescharacteristic
331C4×C103—21no—
332C4×C103—21no—
333C4×C103—21no—
334C4×C103—21no—
335C4×C103—41no—
336C4×C103—41no—
337C4×C103—42no—
338C4×C103—41no—
339C4×C103—41no—
340C4×C103—41no—
341C4×C103—41no—
342C4×C103—42no—
343C4×C103—81no—
344C4×C103—81no—
345C4×C103C2×#13511yescharacteristic
346C4×C103#57511yescharacteristic
347C4×C103#57811yescharacteristic
348C4×C103#57811yescharacteristic
349#18661C10311yesmaximal, characteristic, direct product factor, Sylow
350C2×C103—41no—
351C2×C103—42no—
352C2×C103—81no—
353C2×C103#300211yescharacteristic
354C2×C103#301111yescharacteristic
355C2×C103#301811yescharacteristic
356#3515C2×C10311yescharacteristic
357#3233C2×C10311yescharacteristic, complemented
358#3170C2×C10311yescharacteristic, complemented
359#3116C2×C10311yescharacteristic, complemented
360#1648C2×C10311yescharacteristic, complemented
361#1647C2×C10311yescharacteristic, complemented
362#1644C2×C10311yescharacteristic, complemented
363#1643C2×C10311yescharacteristic, complemented
364#1636C2×C10311yescharacteristic, complemented
365#1635C2×C10311yescharacteristic, complemented
366#1632C2×C10311yescharacteristic, complemented
367#1632C2×C10311yescharacteristic, complemented
368#1554C2×C10311yescharacteristic, complemented
369#1494C2×C10311yescharacteristic, complemented
370#1476C2×C10311yescharacteristic, complemented
371C103#1866111yescharacteristic, direct product factor, Sylow
372#557C22×C10311yescharacteristic
373#554C22×C10311yescharacteristic
374#554C22×C10311yescharacteristic
375#553—21no—
376#552—21no—
377#552—22no—
378#552—21no—
379#547—21no—
380#547C22×C10311yescharacteristic
381#541—21no—
382#539—22no—
383#533C22×C10311yescharacteristic
384#533C22×C10311yescharacteristic
385#529—21no—
386#529C22×C10311yescharacteristic
387C2×#125—21no—
388#520—21no—
389C4×#41C22×C10311yescharacteristic
390#500C22×C10311yescharacteristic
391#499—21no—
392#494C22×C10311yescharacteristic
393#488—21no—
394#487C22×C10311yescharacteristic
395#487C22×C10311yescharacteristic
396#485—21no—
397#485—21no—
398#482—21no—
399#477C22×C10311yescharacteristic
400#477C22×C10311yescharacteristic
401#476C22×C10311yescharacteristic
402#476C22×C10311yescharacteristic
403#475C22×C10311yescharacteristic
404#474C22×C10311yescharacteristic
405#467—22no—
406#462C22×C10311yescharacteristic
407#461C22×C10311yescharacteristic
408#452—21no—
409#441—21no—
410#440—21no—
411C4×Q16—22no—
412#432C22×C10311yescharacteristic
413#431C22×C10311yescharacteristic
414C2×C4×C8C22×C10311yescharacteristic
415#333C22×C10311yescharacteristic
416#333C22×C10311yescharacteristic
417#332C22×C10311yescharacteristic
418#332C22×C10311yescharacteristic
419Q8⋊C8C22×C10311yescharacteristic
420Q8⋊C8C22×C10311yescharacteristic
421Q8⋊C8C22×C10311yescharacteristic
422Q8⋊C8C22×C10311yescharacteristic
423D4⋊C8C22×C10311yescharacteristic
424D4⋊C8C22×C10311yescharacteristic
425D4⋊C8C22×C10311yescharacteristic
426D4⋊C8C22×C10311yescharacteristic
427C2×#41—21no—
428C2×#41D4×C10311yescharacteristic
429C2×Q16—22no—
430C2×Q16—21no—
431C2×SD16—21no—
432C22×C8—21no—
433C4⋊Q8—21no—
434C4⋊Q8C23×C10311yescharacteristic
435C4⋊Q8C23×C10311yescharacteristic
436C4⋊Q8C23×C10311yescharacteristic
437C4⋊Q8C23×C10311yescharacteristic
438#126—22no—
439#126—22no—
440#126—22no—
441#126—21no—
442#125—22no—
443#125—22no—
444#125—22no—
445#125—21no—
446#125—21no—
447#125—22no—
448#125—21no—
449#125—21no—
450#125—21no—
451#125D4×C10311yescharacteristic
452#124D4×C10311yescharacteristic
453#123—22no—
454#123—22no—
455#123—22no—
456#123—21no—
457#123—22no—
458C22⋊Q8—21no—
459C22⋊Q8—22no—
460C22⋊Q8—22no—
461C22⋊Q8—21no—
462C22⋊Q8—21no—
463C22⋊Q8—21no—
464C22⋊Q8—21no—
465C22⋊Q8—21no—
466C22⋊Q8D4×C10311yescharacteristic
467C22⋊Q8D4×C10312yes—
468#121—22no—
469#121—21no—
470#121D4×C10311yescharacteristic
471C4×Q8—21no—
472C4×Q8—21no—
473C4×Q8—21no—
474C4×Q8—21no—
475C4×Q8—21no—
476C4×Q8D4×C10311yescharacteristic
477C4×Q8D4×C10312yes—
478C4×Q8C23×C10311yescharacteristic
479C4×Q8C23×C10311yescharacteristic
480C4×D4—22no—
481C4×D4—22no—
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—21no—
485C4×D4—21no—
486C4×D4—21no—
487C4×D4D4×C10311yescharacteristic
488C4×D4C23×C10311yescharacteristic
489C4×D4C23×C10311yescharacteristic
490#117—22no—
491#117—22no—
492#117—21no—
493#117—21no—
494#117—21no—
495#117—21no—
496#117D4×C10311yescharacteristic
497C2×C4⋊C4—22no—
498C2×C4⋊C4—22no—
499C2×C4⋊C4—21no—
500C2×C4⋊C4—21no—
501C2×C4⋊C4—21no—
502C2×C42—21no—
503C2×C42C23×C10311yescharacteristic
504#107—22no—
505#107—21no—
506#107—21no—
507#107—21no—
508#106—21no—
509#106—21no—
510#106—21no—
511C4⋊C8C23×C10311yescharacteristic
512C4⋊C8C23×C10311yescharacteristic
513C4⋊C8C23×C10311yescharacteristic
514C4⋊C8C23×C10311yescharacteristic
515#103—22no—
516#103—21no—
517#103—21no—
518#103—21no—
519#103—22no—
520#103—21no—
521#103—21no—
522#102—21no—
523#102—21no—
524#102—21no—
525C22⋊C8—21no—
526C22⋊C8—21no—
527#97—21no—
528C4×C8—21no—
529C4×C8—21no—
530C4×C8C23×C10311yescharacteristic
531C4×C8C23×C10311yescharacteristic
532#41—22no—
533#41—41no—
534#41—42no—
535#41—42no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8C2×D4×C10311yescharacteristic
540C2×Q8C2×D4×C10311yescharacteristic
541C2×Q8C2×D4×C10312yes—
542C2×D4—22no—
543C2×D4—21no—
544C2×D4—21no—
545C2×D4C2×D4×C10311yescharacteristic
546C2×D4C2×D4×C10311yescharacteristic
547C22×C4—22no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4C2×D4×C10311yescharacteristic
555C22×C4C2×D4×C10311yescharacteristic
556C22×C4C2×D4×C10311yescharacteristic
557Q16—44no—
558Q16—42no—
559SD16—42no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—42no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—41no—
591C4⋊C4—41no—
592C4⋊C4C2×D4×C10311yescharacteristic
593C4⋊C4C2×D4×C10311yescharacteristic
594C4⋊C4C2×D4×C10312yes—
595C4⋊C4C2×D4×C10311yescharacteristic
596C4⋊C4C2×D4×C10311yescharacteristic
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—22no—
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—21no—
604C22⋊C4—21no—
605C22⋊C4—21no—
606C22⋊C4—21no—
607C22⋊C4—21no—
608C22⋊C4—21no—
609C22⋊C4—41no—
610C42—22no—
611C42—21no—
612C42—21no—
613C42—22no—
614C42—21no—
615C42—21no—
616C42—41no—
617C42C2×D4×C10311yescharacteristic
618C42C2×D4×C10311yescharacteristic
619C42C2×D4×C10311yescharacteristic
620C42C24×C10311yescharacteristic
621C23—21no—
622C23—21no—
623C23#120×C10311yescharacteristic
624Q8—21no—
625Q8—21no—
626Q8—21no—
627Q8—21no—
628Q8—42no—
629Q8—42no—
630Q8—41no—
631Q8—41no—
632Q8—41no—
633Q8—41no—
634D4—21no—
635D4—21no—
636D4—21no—
637D4—42no—
638D4—44no—
639D4—81no—
640D4#135×C10312yes—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—41no—
654C2×C4—42no—
655C2×C4—44no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—81no—
663C2×C4—82no—
664C2×C4—82no—
665C2×C4#120×C10311yescharacteristic
666C2×C4#120×C10311yescharacteristic
667C2×C4#120×C10311yescharacteristic
668C2×C4C22×D4×C10311yescharacteristic
669C2×C4C22×D4×C10311yescharacteristic
670C2×C4C22×D4×C10311yescharacteristic
671C8—22no—
672C8—41no—
673C8—41no—
674C8—41no—
675C8—41no—
676C8—41no—
677C22—21no—
678C22—22no—
679C22—21no—
680C22—21no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22C2×#120×C10311yescharacteristic
687C4—21no—
688C4—21no—
689C4—21no—
690C4—21no—
691C4—41no—
692C4—41no—
693C4—42no—
694C4—41no—
695C4—41no—
696C4—41no—
697C4—41no—
698C4—42no—
699C4—81no—
700C4—81no—
701C4C2×#135×C10311yescharacteristic
702C4#575×C10311yescharacteristic
703C4#578×C10311yescharacteristic
704C4#578×C10311yescharacteristic
705C2—41no—
706C2—42no—
707C2—81no—
708C2C103×#300211yescharacteristic
709C2C103×#301111yescharacteristic
710C2C103×#301811yescharacteristic
subgroupG/H
center, socleC22×C103C2×#120
commutator, Frattini, cosocleC42C24×C103
prime radicalC103×#3515C2
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
2. C103×#3233C2semidirect
3. C103×#3170C2semidirect
4. C103×#3116C2semidirect
5. C103×#1648C2semidirect
6. C103×#1647C2semidirect
7. C103×#1644C2semidirect
8. C103×#1643C2semidirect
9. C103×#1636C2semidirect
10. C103×#1635C2semidirect
11. C103×#1632C2semidirect
12. C103×#1632C2semidirect
13. C103×#1554C2semidirect
14. C103×#1494C2semidirect
15. C103×#1476C2semidirect
349. #18661C103direct (N × H)
357. #3233C2×C103semidirect
358. #3170C2×C103semidirect
359. #3116C2×C103semidirect
360. #1648C2×C103semidirect
361. #1647C2×C103semidirect
362. #1644C2×C103semidirect
363. #1643C2×C103semidirect
364. #1636C2×C103semidirect
365. #1635C2×C103semidirect
366. #1632C2×C103semidirect
367. #1632C2×C103semidirect
368. #1554C2×C103semidirect
369. #1494C2×C103semidirect
370. #1476C2×C103semidirect
371. C103#18661direct (N × H)

Maximal subgroups

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

subgroupindex
C103×#35152
C103×#32332
C103×#31702
C103×#31162
C103×#16482
C103×#16472
C103×#16442
C103×#16432
C103×#16362
C103×#16352
C103×#16322
C103×#15542
C103×#14942
C103×#14762
#18661103