Finite Group Databasebeta

← #27385114

Subgroups — #27385114

Order 13568.

1382 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811099C211yesmaximal, characteristic
2C2×#16810658C211yesmaximal, characteristic
3C2×#16810630C211yesmaximal, characteristic
4C2×#103×D53C211yesmaximal, characteristic
5#20277330C211yesmaximal, characteristic
6#20274986C211yesmaximal, characteristic, complemented
7#20274985C211yesmaximal, characteristic, complemented
8#20274980C211yesmaximal, characteristic, complemented
9#20274970C211yesmaximal, characteristic, complemented
10#20274969C211yesmaximal, characteristic, complemented
11#20274968C211yesmaximal, characteristic, complemented
12#20274967C211yesmaximal, characteristic, complemented
13#20274433C211yesmaximal, characteristic
14#20274410C211yesmaximal, characteristic
15C53×#1865C211yesmaximal, characteristic, complemented
16C22×Q8×D53C2211yescharacteristic
17C22×#11719912C2211yescharacteristic
18C22×C8×D53C2211yescharacteristic
19#16811099—24no—
20#16811099—24no—
21C2×Q8×Dic53C2211yescharacteristic
22C2×C4×Dic106—21no—
23C2×C4×Dic106C2211yescharacteristic
24C2×#13133182—21no—
25C2×#13133182C2211yescharacteristic
26C2×#13133175—21no—
27C2×#13133175C2211yescharacteristic
28C2×#13133175C2211yescharacteristic
29C2×#13133174—21no—
30C2×#13133174C2211yescharacteristic
31C2×C4⋊C4×D53C2211yescharacteristic
32#16810658—24no—
33C2×#13133150C2211yescharacteristic
34C2×#13133150C2211yescharacteristic
35C2×#13133149C2211yescharacteristic
36#16810630—24no—
37C2×#13133142C2211yescharacteristic
38C2×#13133142C2211yescharacteristic
39C2×#13133141C2211yescharacteristic
40C2×#13133141C2211yescharacteristic
41C2×#13133140C2211yescharacteristic
42C2×#13133140C2211yescharacteristic
43#103×D53C418yescomplemented
44#16810522C2211yescharacteristic
45#16810521C2211yescharacteristic
46#16810520—21no—
47#16810519C2211yescharacteristic
48#16810518—21no—
49#16810482—21no—
50#16810480—21no—
51#16810386C2211yescharacteristic
52#16810385C2211yescharacteristic
53#16810385C2211yescharacteristic
54#16810378C2211yescharacteristic
55#16810377C2211yescharacteristic
56#16810377C2211yescharacteristic
57C2×C4×Q8×C53C2211yescharacteristic
58C2×#106×C53C2211yescharacteristic
59C2×#103×C53C2211yescharacteristic
60C2×#103×C53C2211yescharacteristic
61C53×#389C2211yescharacteristic
62C53×#340C2211yescharacteristic
63C53×#336C2211yescharacteristic
64C22×Dic106—21no—
65C22×Dic106C2311yescharacteristic
66C2×Q8×D53—22no—
67C2×Q8×D53—22no—
68C2×Q8×D53—22no—
69C2×Q8×D53C2×C414yes—
70C2×Q8×D53D414yes—
71C2×Q8×D53Q814yes—
72C22×C4×D53—21no—
73C22×C4×D53—21no—
74C22×C4×D53C2311yescharacteristic
75C2×#11719912—22no—
76C2×#11719912—22no—
77C2×#11719912—22no—
78C22×#88322C2311yescharacteristic
79C22×#88322C2311yescharacteristic
80C2×C8×D53—22no—
81C2×C8×D53—22no—
82C2×C8×D53C2×C414yes—
83Q8×Dic53—22no—
84Q8×Dic53—22no—
85C4×Dic106—28no—
86C4×Dic106—22no—
87C4×Dic106—22no—
88#13133182—28no—
89#13133182—22no—
90#13133182—22no—
91#13133175—28no—
92#13133175—22no—
93#13133175—22no—
94#13133175—22no—
95#13133175D414yes—
96#13133174—28no—
97#13133174—22no—
98#13133174—22no—
99C2×C4⋊Dic53—21no—
100C2×C4⋊Dic53—21no—
101C2×C4⋊Dic53C2311yescharacteristic
102C2×C4⋊Dic53C2311yescharacteristic
103C2×C4⋊Dic53C2311yescharacteristic
104C2×#11719919—21no—
105C2×#11719919—21no—
106C2×#11719919—21no—
107C2×#11719919—21no—
108C2×#11719919—21no—
109C2×#11719919D411yescharacteristic
110C2×#11719919D411yescharacteristic
111C4⋊C4×D53—22no—
112C4⋊C4×D53C2×C414yes—
113C2×#11719921—21no—
114C2×#11719921—21no—
115C2×#11719921D411yescharacteristic
116C2×#11719921D411yescharacteristic
117C2×C4×Dic53—21no—
118C2×C4×Dic53—21no—
119C2×C4×Dic53—21no—
120C2×C4×Dic53—21no—
121C2×C4×Dic53—21no—
122C2×C4×Dic53C2311yescharacteristic
123#13133150—22no—
124#13133150—22no—
125#13133149—22no—
126#13133142—22no—
127#13133142C2×C414yes—
128#13133141—22no—
129#13133141C2×C414yes—
130#13133140—22no—
131#13133140C2×C414yes—
132#13133124—21no—
133#13133124—21no—
134#13133124—21no—
135C22×Q8×C53C2311yescharacteristic
136C22×C8×C53C2311yescharacteristic
137C22×C8×C53C2311yescharacteristic
138C4×Q8×C53—22no—
139C4×Q8×C53—22no—
140C2×C4⋊C4×C53—21no—
141C2×C4⋊C4×C53—21no—
142C2×C4⋊C4×C53C2311yescharacteristic
143C2×C4⋊C4×C53C2311yescharacteristic
144C2×C4⋊C4×C53C2311yescharacteristic
145C2×C42×C53—21no—
146C2×C42×C53C2311yescharacteristic
147#106×C53—22no—
148#103×C53—22no—
149#103×C53C2×C414yes—
150#95×C53—21no—
151C23×D53C2×D411yescharacteristic
152C2×Q8×C53—21no—
153C2×Q8×C53—21no—
154C2×Q8×C53—21no—
155C2×Q8×C53C22×C412yes—
156C2×Q8×C53C2×D412yes—
157C2×Q8×C53C2×Q812yes—
158C22×C4×C53—21no—
159C22×C4×C53—21no—
160C22×C4×C53—21no—
161C22×C4×C53—21no—
162C22×C4×C53C2×D411yescharacteristic
163C22×C4×C53C2×D411yescharacteristic
164C22×C4×C53C2411yescharacteristic
165C22×Dic53—21no—
166C22×Dic53—21no—
167C22×Dic53—21no—
168C22×Dic53—21no—
169C22×Dic53C2×D411yescharacteristic
170C22×Dic53C2×D411yescharacteristic
171C22×Dic53C2×D411yescharacteristic
172Q8×D53—28no—
173Q8×D53—28no—
174Q8×D53—28no—
175Q8×D53C4⋊C4116yescomplemented
176C2×C4×D53—24no—
177C2×C4×D53—24no—
178C2×C4×D53—24no—
179C2×C4×D53—24no—
180C2×C4×D53—81no—
181C2×C4×D53—81no—
182C2×C4×D53C22×C412yes—
183C2×C4×D53C2×D412yes—
184C2×C4×D53C2×D412yes—
185C2×C4×D53C2×Q812yes—
186C2×C4×D53#4112yes—
187C2×C4×D53#4112yes—
188C2×Dic106—21no—
189C2×Dic106—21no—
190C2×Dic106—21no—
191C2×Dic106—24no—
192C2×Dic106—24no—
193C2×Dic106—24no—
194C2×Dic106C22×C412yes—
195C2×Dic106C2×D412yes—
196C2×Dic106C2×Q812yes—
197C2×C8×C53—21no—
198C2×C8×C53—21no—
199C2×C8×C53—21no—
200C2×C8×C53—21no—
201C2×C8×C53—21no—
202C2×C8×C53C22×C412yes—
203C4⋊C4×C53—24no—
204C4⋊C4×C53—21no—
205C4⋊C4×C53—21no—
206C4⋊C4×C53—21no—
207C4⋊C4×C53—21no—
208C4⋊C4×C53—81no—
209C4⋊C4×C53C22×C412yes—
210C4⋊C4×C53C2×D412yes—
211C42×C53—24no—
212C42×C53—21no—
213C42×C53—21no—
214#11719921—24no—
215#11719921—22no—
216#11719921—22no—
217#11719921—42no—
218C4⋊Dic53—24no—
219C4⋊Dic53—21no—
220C4⋊Dic53—21no—
221C4⋊Dic53—21no—
222C4⋊Dic53—21no—
223C4⋊Dic53—81no—
224C4⋊Dic53C22×C412yes—
225C4⋊Dic53C2×D412yes—
226#11719919—24no—
227#11719919—24no—
228#11719919—24no—
229#11719919—22no—
230#11719919—22no—
231#11719919—81no—
232#11719919—81no—
233C4×Dic53—24no—
234C4×Dic53—24no—
235C4×Dic53—24no—
236C4×Dic53—21no—
237C4×Dic53—21no—
238C4×Dic53—24no—
239C4×Dic53—42no—
240C2×#88322—21no—
241C2×#88322—21no—
242C2×#88322—21no—
243C2×#88322—21no—
244C2×#88322—21no—
245C2×#88322C22×C412yes—
246#11719912—44no—
247C8×D53—28no—
248C23×C53C22×D411yescharacteristic
249C22×D53—21no—
250C22×D53—21no—
251C22×D53—21no—
252C22×D53—21no—
253C22×D53C4×D412yes—
254C22×D53#12012yes—
255C22×D53C22⋊Q812yes—
256Q8×C53—22no—
257Q8×C53—22no—
258Q8×C53—22no—
259Q8×C53C2×C4⋊C414yes—
260C2×C4×C53—22no—
261C2×C4×C53—22no—
262C2×C4×C53—22no—
263C2×C4×C53—22no—
264C2×C4×C53—22no—
265C2×C4×C53—21no—
266C2×C4×C53—21no—
267C2×C4×C53—21no—
268C2×C4×C53—21no—
269C2×C4×C53—21no—
270C2×C4×C53—21no—
271C2×C4×C53—41no—
272C2×C4×C53—41no—
273C2×C4×C53—41no—
274C2×C4×C53—41no—
275C2×C4×C53—41no—
276C2×C4×C53—41no—
277C2×C4×C53—41no—
278C2×C4×C53C23×C411yescharacteristic
279C2×C4×C53C22×D411yescharacteristic
280C2×C4×C53C22×D411yescharacteristic
281C2×C4×C53C22×Q811yescharacteristic
282C2×C4×C53C2×#4111yescharacteristic
283C2×C4×C53C2×#4111yescharacteristic
284C2×Dic53—22no—
285C2×Dic53—22no—
286C2×Dic53—22no—
287C2×Dic53—22no—
288C2×Dic53—22no—
289C2×Dic53—21no—
290C2×Dic53—21no—
291C2×Dic53—21no—
292C2×Dic53—21no—
293C2×Dic53—21no—
294C2×Dic53—21no—
295C2×Dic53—41no—
296C2×Dic53—41no—
297C2×Dic53—41no—
298C2×Dic53—41no—
299C2×Dic53—41no—
300C2×Dic53—41no—
301C2×Dic53—41no—
302C2×Dic53C4×D412yes—
303C2×Dic53#12012yes—
304C2×Dic53C22⋊Q812yes—
305C4×D53—216no—
306C4×D53—84no—
307C4×D53C2×C4⋊C414yes—
308C4×D53C4×D414yes—
309C4×D53C22⋊Q814yes—
310C4×D53#12314yes—
311Dic106—22no—
312Dic106—22no—
313Dic106—22no—
314Dic106—216no—
315Dic106C2×C4⋊C414yes—
316C8×C53—22no—
317C8×C53—41no—
318#88322—22no—
319#88322—41no—
320#20880—531nomaximal, Sylow
321C22×C53C2×C4×D411yescharacteristic
322C22×C53C2×#12011yescharacteristic
323C22×C53C2×C22⋊Q811yescharacteristic
324C22×C53#57711yescharacteristic
325C22×C53#57711yescharacteristic
326C22×C53#57811yescharacteristic
327C22×C53#57811yescharacteristic
328C2×D53—22no—
329C2×D53—22no—
330C2×D53—22no—
331C2×D53—22no—
332C2×D53—22no—
333C2×D53—22no—
334C2×D53#38514yes—
335C4×C53—24no—
336C4×C53—42no—
337C4×C53—41no—
338C4×C53—41no—
339C4×C53—42no—
340C4×C53—81no—
341C4×C53C22×C4⋊C411yescharacteristic
342C4×C53C2×C4×D411yescharacteristic
343C4×C53C2×C22⋊Q811yescharacteristic
344C4×C53C2×#12311yescharacteristic
345Dic53—24no—
346Dic53—42no—
347Dic53—41no—
348Dic53—41no—
349Dic53—42no—
350Dic53—81no—
351Dic53#38514yes—
352C2×#519—531no—
353C2×#427—531no—
354C2×#419—531no—
355C22×#103—531no—
356#2316—531no—
357#1865—531no—
358#1865—531no—
359#1865—531no—
360#1865D5311yescharacteristic, complemented
361#1863—531no—
362#1863—531no—
363#1863—531no—
364#1863—531no—
365#1736—531no—
366#1729—531no—
367C2×C53C2×#38511yescharacteristic
368C2×C53#294911yescharacteristic
369C2×C53#295011yescharacteristic
370C2×C53#301311yescharacteristic
371C2×C53#301311yescharacteristic
372C2×C53#308211yescharacteristic
373C2×C53#308211yescharacteristic
374D53—24no—
375C23×Q8—531no—
376C22×M16—531no—
377C23×C8—531no—
378#519—1064no—
379#519—1064no—
380C2×C4×Q8—531no—
381C2×C4×Q8—531no—
382C2×C4×Q8—531no—
383C2×C4×Q8—1061no—
384C2×C4×Q8—1061no—
385C2×C4×Q8C2×D5311yescharacteristic
386C2×#117—531no—
387C2×#117—531no—
388C2×#117—531no—
389C2×#117—1061no—
390C2×#117—1061no—
391C22×C4⋊C4—531no—
392#427—1064no—
393C2×#107—531no—
394C2×#107—531no—
395C2×#106—531no—
396C2×#106C2×D5311yescharacteristic
397#419—1064no—
398C2×#103—531no—
399C2×#103—531no—
400C2×#103—531no—
401C2×#103—538no—
402C2×#103—531no—
403C2×#103—531no—
404C2×#103—531no—
405C2×#103C2×D5311yescharacteristic
406C2×#103C2×D5311yescharacteristic
407#389—531no—
408#389—531no—
409#389—531no—
410#389—1061no—
411#389—1061no—
412#389C2×D5311yescharacteristic
413#380—1061no—
414#380—1061no—
415#340—531no—
416#340—531no—
417#340—531no—
418#340C2×D5311yescharacteristic
419#336—531no—
420#336—531no—
421#336—531no—
422#336C2×D5311yescharacteristic
423C53#2088011yescharacteristic, complemented, Sylow
424C22×Q8—534no—
425C22×Q8—534no—
426C22×Q8—534no—
427C22×Q8—531no—
428C22×Q8—1061no—
429C22×Q8—1062no—
430C22×Q8—1062no—
431C22×Q8—1062no—
432C22×Q8C22×D5311yescharacteristic
433C23×C4—531no—
434C23×C4—1061no—
435C23×C4—1061no—
436C2×M16—1062no—
437C2×M16—1062no—
438C2×M16—1062no—
439C22×C8—531no—
440C22×C8—534no—
441C22×C8—531no—
442C22×C8—1062no—
443C22×C8—1062no—
444C22×C8C22×D5311yescharacteristic
445C22×C8C22×D5311yescharacteristic
446C4×Q8—22no—
447C4×Q8—22no—
448C4×Q8—1062no—
449C4×Q8—1062no—
450C4×Q8—1068no—
451C4×Q8—1062no—
452C4×Q8—1068no—
453C4×Q8—1062no—
454C4×Q8—1062no—
455C4×Q8—1062no—
456#117—534no—
457#117—1062no—
458#117—1062no—
459#117—1068no—
460#117—1062no—
461#117—1068no—
462#117—1062no—
463#117—1062no—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—21no—
466C2×C4⋊C4—531no—
467C2×C4⋊C4—531no—
468C2×C4⋊C4—534no—
469C2×C4⋊C4—531no—
470C2×C4⋊C4—531no—
471C2×C4⋊C4—531no—
472C2×C4⋊C4—1062no—
473C2×C4⋊C4—1061no—
474C2×C4⋊C4—1061no—
475C2×C4⋊C4—1061no—
476C2×C4⋊C4—1061no—
477C2×C4⋊C4—1061no—
478C2×C4⋊C4—1061no—
479C2×C4⋊C4—1061no—
480C2×C4⋊C4C22×D5311yescharacteristic
481C2×C4⋊C4C22×D5311yescharacteristic
482C2×C4⋊C4C22×D5311yescharacteristic
483C2×C22⋊C4—531no—
484C2×C22⋊C4—531no—
485C2×C22⋊C4—1061no—
486C2×C22⋊C4—1061no—
487C2×C42—21no—
488C2×C42—531no—
489C2×C42—1061no—
490C2×C42—1061no—
491C2×C42—1061no—
492C2×C42—1061no—
493C2×C42—1061no—
494C2×C42C22×D5311yescharacteristic
495#107—1062no—
496#107—1062no—
497#106—22no—
498#106—1062no—
499#103—22no—
500#103—534no—
501#103—534no—
502#103—534no—
503#103—1062no—
504#103—1062no—
505#103—1062no—
506#103C4×D5314yes—
507#95—21no—
508#95—1061no—
509#95—1061no—
510#95—1061no—
511C24—531no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—5316no—
516C2×Q8—532no—
517C2×Q8—532no—
518C2×Q8—532no—
519C2×Q8—1064no—
520C2×Q8—1064no—
521C2×Q8—1064no—
522C2×Q8—1068no—
523C2×Q8—1068no—
524C2×Q8—1068no—
525C2×Q8—1061no—
526C2×Q8—1061no—
527C2×Q8—1061no—
528C2×Q8C2×C4×D5312yes—
529C2×Q8D4×D5312yes—
530C2×Q8Q8×D5312yes—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—531no—
536C22×C4—532no—
537C22×C4—532no—
538C22×C4—532no—
539C22×C4—532no—
540C22×C4—532no—
541C22×C4—532no—
542C22×C4—531no—
543C22×C4—531no—
544C22×C4—1064no—
545C22×C4—1064no—
546C22×C4—1064no—
547C22×C4—1064no—
548C22×C4—1061no—
549C22×C4—1061no—
550C22×C4—1061no—
551C22×C4—1061no—
552C22×C4—4241no—
553C22×C4—4241no—
554C22×C4D4×D5311yescharacteristic
555C22×C4D4×D5311yescharacteristic
556C22×C4C23×D5311yescharacteristic
557M16—2124no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—532no—
564C2×C8—1068no—
565C2×C8—1061no—
566C2×C8—1061no—
567C2×C8—1061no—
568C2×C8—1061no—
569C2×C8—1061no—
570C2×C8C2×C4×D5312yes—
571C4⋊C4—24no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—81no—
577C4⋊C4—532no—
578C4⋊C4—532no—
579C4⋊C4—1064no—
580C4⋊C4—1062no—
581C4⋊C4—1062no—
582C4⋊C4—1064no—
583C4⋊C4—1064no—
584C4⋊C4—1064no—
585C4⋊C4—1061no—
586C4⋊C4—1061no—
587C4⋊C4—1061no—
588C4⋊C4—1061no—
589C4⋊C4—4241no—
590C4⋊C4—4241no—
591C4⋊C4—4241no—
592C4⋊C4C2×C4×D5312yes—
593C4⋊C4D4×D5312yes—
594C22⋊C4—1062no—
595C22⋊C4—1062no—
596C22⋊C4—1064no—
597C22⋊C4—2122no—
598C42—24no—
599C42—21no—
600C42—21no—
601C42—1064no—
602C42—1064no—
603C42—1064no—
604C42—1064no—
605C42—1061no—
606C42—1061no—
607C42—2122no—
608C23—532no—
609C23—532no—
610C23—532no—
611C23—1061no—
612C23—1061no—
613C23—1061no—
614C23—1061no—
615C23C2×D4×D5311yescharacteristic
616Q8—22no—
617Q8—22no—
618Q8—22no—
619Q8—534no—
620Q8—10616no—
621Q8—1062no—
622Q8—1062no—
623Q8—1062no—
624Q8C4⋊C4×D5314yes—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—532no—
644C2×C4—532no—
645C2×C4—532no—
646C2×C4—534no—
647C2×C4—534no—
648C2×C4—534no—
649C2×C4—534no—
650C2×C4—10616no—
651C2×C4—1062no—
652C2×C4—1062no—
653C2×C4—1062no—
654C2×C4—1062no—
655C2×C4—1062no—
656C2×C4—1061no—
657C2×C4—1061no—
658C2×C4—1061no—
659C2×C4—1061no—
660C2×C4—1061no—
661C2×C4—1061no—
662C2×C4—4244no—
663C2×C4—2121no—
664C2×C4—2121no—
665C2×C4—2121no—
666C2×C4—2121no—
667C2×C4—2121no—
668C2×C4—2121no—
669C2×C4—2121no—
670C2×C4C22×C4×D5311yescharacteristic
671C2×C4C2×D4×D5311yescharacteristic
672C2×C4C2×D4×D5311yescharacteristic
673C2×C4C2×Q8×D5311yescharacteristic
674C2×C4#41×D5311yescharacteristic
675C2×C4#41×D5311yescharacteristic
676C8—22no—
677C8—41no—
678C8—1062no—
679C8—2121no—
680C22—534no—
681C22—1062no—
682C22—1062no—
683C22—1062no—
684C22—1062no—
685C22—1062no—
686C22—1062no—
687C22C4×D4×D5311yescharacteristic
688C22#120×D5311yescharacteristic
689C22C22⋊Q8×D5311yescharacteristic
690C22#1681142911yescharacteristic
691C22#1681143011yescharacteristic
692C22#1681143911yescharacteristic
693C22#1681143911yescharacteristic
694C4—24no—
695C4—41no—
696C4—41no—
697C4—42no—
698C4—42no—
699C4—81no—
700C4—534no—
701C4—1064no—
702C4—4241no—
703C4—2121no—
704C4—2122no—
705C4—2121no—
706C4—2122no—
707C4C2×C4⋊C4×D5311yescharacteristic
708C4C4×D4×D5311yescharacteristic
709C4C22⋊Q8×D5311yescharacteristic
710C4#123×D5311yescharacteristic
711C2—1064no—
712C2#385×D5311yescharacteristic
713C2#2028356911yescharacteristic
714C2#2028358011yescharacteristic
715C2#2028402511yescharacteristic
716C2#2028403411yescharacteristic
717C2#2028455011yescharacteristic
718C2#2028455411yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#1865C2
socleC23×C53C22×D4
prime radicalC23×D53C2×D4
cosocleC22×C4×C53C24
hypercenter#1865D53
hypocenterC53#20880
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1865

Complements

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

NH ≅ G/Ntype
6. #20274986C2semidirect
7. #20274985C2semidirect
8. #20274980C2semidirect
9. #20274970C2semidirect
10. #20274969C2semidirect
11. #20274968C2semidirect
12. #20274967C2semidirect
15. C53×#1865C2semidirect
43. #103×D53C4semidirect
175. Q8×D53C4⋊C4semidirect
360. #1865D53semidirect
423. C53#20880semidirect

Maximal subgroups

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

subgroupindex
C2×#168110992
C2×#168106582
C2×#168106302
C2×#103×D532
#202773302
#202749862
#202749852
#202749802
#202749702
#202749692
#202749682
#202749672
#202744332
#202744102
C53×#18652
#2088053