Finite Group Databasebeta

← #25131360

Subgroups — #25131360

Order 11008.

1118 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583624C211yesmaximal, characteristic, complemented
2C2×#14583102C211yesmaximal, characteristic
3C2×SD16×Dic43C211yesmaximal, characteristic
4#19139515C211yesmaximal, characteristic
5#19135840C211yesmaximal, characteristic, complemented
6#19135838C211yesmaximal, characteristic, complemented
7#19135676C211yesmaximal, characteristic
8#19135529C211yesmaximal, characteristic, complemented
9#19135395C211yesmaximal, characteristic, complemented
10#19134953C211yesmaximal, characteristic
11#19134952C211yesmaximal, characteristic
12#19134866C211yesmaximal, characteristic, complemented
13#19134865C211yesmaximal, characteristic, complemented
14#19134598C211yesmaximal, characteristic, complemented
15C43×#2013C211yesmaximal, characteristic
16C22×#10621883C2211yescharacteristic
17#14583624—24no—
18#14583624—24no—
19C2×#13063323C2211yescharacteristic
20C2×#13063323C2211yescharacteristic
21C2×#13063316—21no—
22C2×#13063315—21no—
23C2×#13063315—21no—
24C2×#13063302—21no—
25C2×Q8×Dic43C2211yescharacteristic
26C2×Q8×Dic43C2211yescharacteristic
27C2×C4×Dic86C2211yescharacteristic
28C2×C4×Dic86C2211yescharacteristic
29C2×#13063290—21no—
30C2×D4×Dic43C2211yescharacteristic
31#14583102—24no—
32SD16×Dic43—24no—
33C2×#13063257C2211yescharacteristic
34C2×Dic43⋊C8C2211yescharacteristic
35C2×#13063250C2211yescharacteristic
36C2×#13063250C2211yescharacteristic
37C2×#13063249C2211yescharacteristic
38C2×#13063249C2211yescharacteristic
39C2×#13063249C2211yescharacteristic
40C2×#13063249C2211yescharacteristic
41C2×#13063248C2211yescharacteristic
42C2×#13063246C2211yescharacteristic
43C2×C8×Dic43C2211yescharacteristic
44#14582822—21no—
45#14582822—21no—
46#14582802C2211yescharacteristic
47#14582798C2211yescharacteristic
48#14582797C2211yescharacteristic
49#14582768C2211yescharacteristic
50#14582757—21no—
51#14582662C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582654C2211yescharacteristic
54#14582653C2211yescharacteristic
55#14582653C2211yescharacteristic
56C22×SD16×C43C2211yescharacteristic
57C22×SD16×C43C2211yescharacteristic
58C2×C4⋊Q8×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C2×#103×C43C2211yescharacteristic
61C43×#390C2211yescharacteristic
62C43×#336C2211yescharacteristic
63C22×Dic86D411yescharacteristic
64C22×Dic86C2311yescharacteristic
65C23×Dic43—21no—
66C2×#10621883—22no—
67C2×#10621883—22no—
68C2×#10621883—41no—
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71#13063323—22no—
72#13063323—22no—
73#13063323—22no—
74#13063323D414yes—
75#13063316—28no—
76#13063315—28no—
77#13063315—28no—
78#13063302—44no—
79Q8×Dic43—22no—
80Q8×Dic43—22no—
81Q8×Dic43—22no—
82Q8×Dic43D414yes—
83C4×Dic86—22no—
84C4×Dic86—22no—
85C4×Dic86—22no—
86C4×Dic86—22no—
87#13063290—28no—
88D4×Dic43—22no—
89D4×Dic43—22no—
90C2×C4⋊Dic43—21no—
91C2×C4⋊Dic43—21no—
92C2×C4⋊Dic43—21no—
93C2×C4⋊Dic43D411yescharacteristic
94C2×C4⋊Dic43C2311yescharacteristic
95C2×C4⋊Dic43C2311yescharacteristic
96C2×C4⋊Dic43C2311yescharacteristic
97C2×Dic43⋊C4—21no—
98C2×Dic43⋊C4—21no—
99C2×Dic43⋊C4—21no—
100C2×Dic43⋊C4—21no—
101C2×Dic43⋊C4—21no—
102C2×Dic43⋊C4—21no—
103C2×Dic43⋊C4—21no—
104C2×Dic43⋊C4—21no—
105C2×Dic43⋊C4D411yescharacteristic
106C2×Dic43⋊C4D411yescharacteristic
107C2×C22⋊Dic43—21no—
108C2×C22⋊Dic43—21no—
109C2×C22⋊Dic43—21no—
110C2×C4×Dic43—21no—
111C2×C4×Dic43—21no—
112C2×C4×Dic43—21no—
113C2×C4×Dic43C2311yescharacteristic
114C2×C4×Dic43C2311yescharacteristic
115#13063257—22no—
116Dic43⋊C8—22no—
117#13063250—22no—
118#13063250—22no—
119#13063249—22no—
120#13063249—22no—
121#13063249—41no—
122#13063249—41no—
123#13063248—41no—
124#13063246—22no—
125C8×Dic43—22no—
126C43⋊#95—21no—
127C43⋊#95—21no—
128C22×Q8×C43C2311yescharacteristic
129C22×Q8×C43C2311yescharacteristic
130C22×D4×C43C2311yescharacteristic
131C2×SD16×C43—22no—
132C2×SD16×C43—22no—
133C2×SD16×C43—22no—
134C2×SD16×C43—22no—
135C2×SD16×C43—22no—
136C2×SD16×C43—41no—
137C22×C8×C43C2311yescharacteristic
138C22×C8×C43C2311yescharacteristic
139C4⋊Q8×C43—22no—
140C4⋊Q8×C43—22no—
141C2×C4⋊C4×C43—21no—
142C2×C4⋊C4×C43—21no—
143C2×C4⋊C4×C43C2311yescharacteristic
144C2×C22⋊C4×C43—21no—
145C2×C22⋊C4×C43—21no—
146C2×C42×C43C2311yescharacteristic
147#103×C43—22no—
148#103×C43—41no—
149C24×C43—21no—
150C2×Q8×C43—21no—
151C2×Q8×C43—21no—
152C2×Q8×C43—21no—
153C2×Q8×C43—21no—
154C2×Q8×C43—21no—
155C2×Q8×C43—21no—
156C2×Q8×C43—21no—
157C2×Q8×C43—21no—
158C2×Q8×C43—21no—
159C2×Q8×C43—21no—
160C2×Q8×C43C2×D412yes—
161C2×Q8×C43C2×D412yes—
162C2×D4×C43—21no—
163C2×D4×C43—21no—
164C2×D4×C43—21no—
165C2×D4×C43—21no—
166C2×D4×C43—21no—
167C2×D4×C43#4112yes—
168C22×C4×C43—21no—
169C22×C4×C43—21no—
170C22×C4×C43—21no—
171C22×C4×C43C2×D411yescharacteristic
172C22×C4×C43C2×D411yescharacteristic
173C22×C4×C43C2411yescharacteristic
174C22×Dic43—21no—
175C22×Dic43—21no—
176C22×Dic43—21no—
177C22×Dic43—21no—
178C22×Dic43—42no—
179C22×Dic43—42no—
180C22×Dic43—42no—
181C22×Dic43C2×D411yescharacteristic
182C22×Dic43C2×D411yescharacteristic
183C22×Dic43C2×D411yescharacteristic
184C22×Dic43C2×D411yescharacteristic
185C2×Dic86—22no—
186C2×Dic86—22no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86—21no—
192C2×Dic86SD1614yescomplemented
193C2×Dic86C2×D412yes—
194SD16×C43—28no—
195SD16×C43—44no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43—21no—
201C2×C8×C43#4112yes—
202C4⋊C4×C43—24no—
203C4⋊C4×C43—24no—
204C4⋊C4×C43—21no—
205C4⋊C4×C43—21no—
206C22⋊C4×C43—42no—
207C22⋊C4×C43—81no—
208C42×C43—21no—
209C42×C43—21no—
210C22⋊Dic43—42no—
211C22⋊Dic43—42no—
212C22⋊Dic43—81no—
213#10621883—44no—
214C4⋊Dic43—24no—
215C4⋊Dic43—21no—
216C4⋊Dic43—24no—
217C4⋊Dic43—22no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—42no—
223C4⋊Dic43C2×D412yes—
224Dic43⋊C4—24no—
225Dic43⋊C4—24no—
226Dic43⋊C4—24no—
227Dic43⋊C4—24no—
228Dic43⋊C4—24no—
229Dic43⋊C4—22no—
230Dic43⋊C4—22no—
231Dic43⋊C4—42no—
232Dic43⋊C4—42no—
233Dic43⋊C4—81no—
234C4×Dic43—24no—
235C4×Dic43—24no—
236C4×Dic43—21no—
237C4×Dic43—21no—
238C4×Dic43—24no—
239C4×Dic43C2×D412yes—
240C4×Dic43C2×D412yes—
241C2×C43⋊C8—21no—
242C2×C43⋊C8—21no—
243C2×C43⋊C8—21no—
244C2×C43⋊C8—21no—
245C2×C43⋊C8—21no—
246C2×C43⋊C8—21no—
247C23×C43—22no—
248C23×C43—41no—
249C23×C43—41no—
250C23×C43—41no—
251C23×C43—41no—
252C23×C43—41no—
253C23×C43—41no—
254C23×C43C22×D411yescharacteristic
255Q8×C43—22no—
256Q8×C43—22no—
257Q8×C43—22no—
258Q8×C43—22no—
259Q8×C43—41no—
260Q8×C43—41no—
261Q8×C43—41no—
262Q8×C43—41no—
263D4×C43—22no—
264D4×C43—22no—
265D4×C43—41no—
266D4×C43—41no—
267C2×C4×C43—21no—
268C2×C4×C43—21no—
269C2×C4×C43—22no—
270C2×C4×C43—22no—
271C2×C4×C43—21no—
272C2×C4×C43—21no—
273C2×C4×C43—21no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43—41no—
279C2×C4×C43—41no—
280C2×C4×C43—41no—
281C2×C4×C43C2×SD1612yes—
282C2×C4×C43C22×D411yescharacteristic
283C2×C4×C43C22×D411yescharacteristic
284C2×C4×C43C2×#4111yescharacteristic
285C2×C4×C43C2×#4111yescharacteristic
286C2×C4×C43H(5,𝔽2)11yescharacteristic
287C2×C4×C432−1+411yescharacteristic
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—22no—
293C2×Dic43—22no—
294C2×Dic43—21no—
295C2×Dic43—21no—
296C2×Dic43—21no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—41no—
305C2×Dic43—41no—
306C2×Dic43—41no—
307C2×Dic43—84no—
308C2×Dic43#12012yes—
309C2×Dic43#12012yes—
310C2×Dic43C2×SD1612yes—
311C2×Dic43C2×SD1612yes—
312C2×Dic43#13712yes—
313Dic86—28no—
314Dic86—22no—
315Dic86—22no—
316Dic86—41no—
317Dic86—41no—
318C8×C43—22no—
319C8×C43—41no—
320C43⋊C8—41no—
321C43⋊C8—41no—
322#24187—431nomaximal, Sylow
323C22×C43—42no—
324C22×C43—42no—
325C22×C43—42no—
326C22×C43—81no—
327C22×C43—81no—
328C22×C43—81no—
329C22×C43—81no—
330C22×C43C2×#12011yescharacteristic
331C22×C43#54811yescharacteristic
332C22×C43#55011yescharacteristic
333C22×C43C22×SD1611yescharacteristic
334C22×C43C2×#13711yescharacteristic
335C22×C43#57711yescharacteristic
336C22×C43#57811yescharacteristic
337C4×C43—22no—
338C4×C43—42no—
339C4×C43—42no—
340C4×C43—41no—
341C4×C43—81no—
342C4×C43#52511yescharacteristic
343C4×C43#53711yescharacteristic
344C4×C43#54611yescharacteristic
345C4×C43#54711yescharacteristic
346Dic43—22no—
347Dic43—22no—
348Dic43—42no—
349Dic43—41no—
350Dic43—42no—
351Dic43—81no—
352Dic43—81no—
353Dic43#44814yes—
354C2×#557—431no—
355C2×#461—431no—
356C2×C4×SD16—431no—
357#2538—431no—
358#2043—431no—
359#2043—431no—
360#2013—431no—
361#2013D4311yescharacteristic
362#1984—431no—
363#1956—431no—
364#1880—431no—
365#1880—431no—
366#1865—431no—
367#1865—431no—
368#1803—431no—
369C2×C43—82no—
370C2×C43#240711yescharacteristic
371C2×C43C2×#44811yescharacteristic
372C2×C43#301311yescharacteristic
373C2×C43#335911yescharacteristic
374C2×C43#337211yescharacteristic
375C2×C43#339211yescharacteristic
376C2×C43#339811yescharacteristic
377C22×SD16—431no—
378C22×SD16C2×D4311yescharacteristic
379C22×SD16C2×D4311yescharacteristic
380#557—864no—
381#557—864no—
382C2×C4⋊Q8—431no—
383C2×C4⋊Q8—431no—
384C2×C4⋊Q8C2×D4311yescharacteristic
385C2×#125—861no—
386C2×#125—861no—
387C2×#125—861no—
388C2×C22⋊Q8—861no—
389C2×C4×Q8—431no—
390C2×C4×Q8—431no—
391C2×C4×Q8—431no—
392C2×C4×Q8—431no—
393C2×C4×Q8—861no—
394C2×C4×D4—431no—
395#461—864no—
396C4×SD16—864no—
397C2×#106—431no—
398C2×C4⋊C8—431no—
399C2×#103—431no—
400C2×#103—431no—
401C2×#103—431no—
402C2×#103—431no—
403C2×#103—431no—
404C2×#103—431no—
405C2×#103—431no—
406C2×#103C2×D4311yescharacteristic
407C2×#103C2×D4311yescharacteristic
408C2×#102—431no—
409C2×C4×C8—431no—
410#396—861no—
411#396—861no—
412#390—431no—
413#390C2×D4311yescharacteristic
414#389—431no—
415#389—431no—
416#384—431no—
417#380—861no—
418#340—431no—
419#340—431no—
420#336—431no—
421#336—431no—
422#336—431no—
423#336C2×D4311yescharacteristic
424C43#2418711yescharacteristic, complemented, Sylow
425C22×Q8—431no—
426C22×Q8—431no—
427C22×Q8C22×D4311yescharacteristic
428C22×Q8C22×D4311yescharacteristic
429C22×D4C22×D4311yescharacteristic
430C23×C4—861no—
431C2×SD16—22no—
432C2×SD16—22no—
433C2×SD16—22no—
434C2×SD16—22no—
435C2×SD16—22no—
436C2×SD16—41no—
437C2×SD16—862no—
438C2×SD16—862no—
439C2×SD16—1721no—
440C22×C8—431no—
441C22×C8—431no—
442C22×C8C22×D4311yescharacteristic
443C22×C8C22×D4311yescharacteristic
444C4⋊Q8—22no—
445C4⋊Q8—22no—
446C4⋊Q8—434no—
447C4⋊Q8—862no—
448C4⋊Q8—862no—
449C4⋊Q8—862no—
450#125—868no—
451#125—868no—
452#125—868no—
453C22⋊Q8—1724no—
454C4×Q8—434no—
455C4×Q8—862no—
456C4×Q8—862no—
457C4×Q8—862no—
458C4×Q8—862no—
459C4×Q8—862no—
460C4×Q8—868no—
461C4×Q8—862no—
462C4×Q8—862no—
463C4×D4—862no—
464C4×D4—862no—
465C2×C4⋊C4—21no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—431no—
468C2×C4⋊C4—431no—
469C2×C4⋊C4—431no—
470C2×C4⋊C4—431no—
471C2×C4⋊C4—431no—
472C2×C4⋊C4—431no—
473C2×C4⋊C4—861no—
474C2×C4⋊C4—861no—
475C2×C4⋊C4—861no—
476C2×C4⋊C4—861no—
477C2×C4⋊C4—861no—
478C2×C4⋊C4—861no—
479C2×C4⋊C4—861no—
480C2×C4⋊C4—861no—
481C2×C4⋊C4—861no—
482C2×C4⋊C4—861no—
483C2×C4⋊C4—861no—
484C2×C4⋊C4C22×D4311yescharacteristic
485C2×C22⋊C4—21no—
486C2×C22⋊C4—21no—
487C2×C22⋊C4—861no—
488C2×C22⋊C4—861no—
489C2×C22⋊C4—861no—
490C2×C42—431no—
491C2×C42—431no—
492C2×C42—861no—
493C2×C42—861no—
494C2×C42—861no—
495C2×C42C22×D4311yescharacteristic
496#106—862no—
497C4⋊C8—862no—
498#103—22no—
499#103—41no—
500#103—862no—
501#103—862no—
502#103—862no—
503#103—862no—
504#103—1721no—
505#103—1721no—
506#103—1721no—
507#102—862no—
508C4×C8—862no—
509#95—861no—
510#95—861no—
511C24—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—434no—
523C2×Q8—432no—
524C2×Q8—862no—
525C2×Q8—862no—
526C2×Q8—861no—
527C2×Q8—861no—
528C2×Q8—861no—
529C2×Q8—861no—
530C2×Q8—861no—
531C2×Q8D4×D4312yes—
532C2×Q8D4×D4312yes—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4#1062190012yes—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—431no—
543C22×C4—431no—
544C22×C4—431no—
545C22×C4—431no—
546C22×C4—861no—
547C22×C4—861no—
548C22×C4—861no—
549C22×C4—861no—
550C22×C4—1722no—
551C22×C4—1722no—
552C22×C4—1722no—
553C22×C4D4×D4311yescharacteristic
554C22×C4D4×D4311yescharacteristic
555C22×C4C23×D4311yescharacteristic
556SD16—28no—
557SD16—44no—
558SD16—1724no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—861no—
565C2×C8—861no—
566C2×C8—861no—
567C2×C8—861no—
568C2×C8—861no—
569C2×C8—861no—
570C2×C8#1062190012yes—
571C4⋊C4—24no—
572C4⋊C4—24no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—432no—
576C4⋊C4—862no—
577C4⋊C4—862no—
578C4⋊C4—862no—
579C4⋊C4—864no—
580C4⋊C4—864no—
581C4⋊C4—864no—
582C4⋊C4—864no—
583C4⋊C4—864no—
584C4⋊C4—864no—
585C4⋊C4—864no—
586C4⋊C4—861no—
587C4⋊C4—861no—
588C4⋊C4—861no—
589C4⋊C4—861no—
590C4⋊C4—861no—
591C4⋊C4—3441no—
592C4⋊C4—1722no—
593C4⋊C4—1722no—
594C4⋊C4—1722no—
595C22⋊C4—42no—
596C22⋊C4—81no—
597C22⋊C4—3441no—
598C22⋊C4—1722no—
599C22⋊C4—1722no—
600C42—21no—
601C42—21no—
602C42—432no—
603C42—432no—
604C42—864no—
605C42—864no—
606C42—864no—
607C42—861no—
608C42—861no—
609C23—22no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23C2×D4×D4311yescharacteristic
617Q8—22no—
618Q8—22no—
619Q8—22no—
620Q8—22no—
621Q8—41no—
622Q8—41no—
623Q8—41no—
624Q8—41no—
625Q8—868no—
626Q8—862no—
627Q8—862no—
628Q8—1721no—
629Q8—1721no—
630D4—22no—
631D4—22no—
632D4—41no—
633D4—41no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—432no—
649C2×C4—432no—
650C2×C4—432no—
651C2×C4—432no—
652C2×C4—432no—
653C2×C4—861no—
654C2×C4—861no—
655C2×C4—861no—
656C2×C4—861no—
657C2×C4—862no—
658C2×C4—861no—
659C2×C4—862no—
660C2×C4—861no—
661C2×C4—861no—
662C2×C4—3444no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4—1721no—
668C2×C4—1721no—
669C2×C4—1721no—
670C2×C4—1721no—
671C2×C4—1721no—
672C2×C4—1721no—
673C2×C4SD16×D4312yes—
674C2×C4C2×D4×D4311yescharacteristic
675C2×C4C2×D4×D4311yescharacteristic
676C2×C4C2×#1062190011yescharacteristic
677C2×C4C2×#1062190011yescharacteristic
678C2×C4#1306337011yescharacteristic
679C2×C4#1306337211yescharacteristic
680C8—22no—
681C8—41no—
682C8—1721no—
683C8—1721no—
684C22—42no—
685C22—42no—
686C22—42no—
687C22—81no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22#120×D4311yescharacteristic
692C22#1458355511yescharacteristic
693C22#1458356911yescharacteristic
694C22C2×SD16×D4311yescharacteristic
695C22#137×D4311yescharacteristic
696C22#1458370511yescharacteristic
697C22#1458371511yescharacteristic
698C4—22no—
699C4—42no—
700C4—42no—
701C4—41no—
702C4—81no—
703C4—434no—
704C4—862no—
705C4—862no—
706C4—3441no—
707C4—3441no—
708C4—1722no—
709C4—1721no—
710C4—1722no—
711C4#1458340511yescharacteristic
712C4#1458347611yescharacteristic
713C4#1458353611yescharacteristic
714C4#1458354911yescharacteristic
715C2—82no—
716C2#1913793311yescharacteristic
717C2#448×D4311yescharacteristic
718C2#1914390511yescharacteristic
719C2#1914723211yescharacteristic
720C2#1914737111yescharacteristic
721C2#1914757311yescharacteristic
722C2#1914762311yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2013C2
socleC23×C43C22×D4
prime radicalC22×D4×C43C23
hypercenter#2013D43
hypocenterC43#24187
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2013

Complements

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

NH ≅ G/Ntype
1. C2×#14583624C2semidirect
5. #19135840C2semidirect
6. #19135838C2semidirect
8. #19135529C2semidirect
9. #19135395C2semidirect
12. #19134866C2semidirect
13. #19134865C2semidirect
14. #19134598C2semidirect
192. C2×Dic86SD16semidirect
424. C43#24187semidirect

Maximal subgroups

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

subgroupindex
C2×#145836242
C2×#145831022
C2×SD16×Dic432
#191395152
#191358402
#191358382
#191356762
#191355292
#191353952
#191349532
#191349522
#191348662
#191348652
#191345982
C43×#20132
#2418743