Finite Group Databasebeta

← C2×#19147127 #25975226

Subgroups — C2×#19147127 #25975226

Order 11008.

1834 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
1C2×#14583619C211yesmaximal, characteristic
2C2×#14583589C211yesmaximal, characteristic
3#19147127C2116yesmaximal, direct product factor
4C2×#14583308C211yesmaximal, characteristic, complemented
5C2×#14583235C211yesmaximal, characteristic, complemented
6C2×#14583241C211yesmaximal, characteristic, complemented
7C2×#14583241C211yesmaximal, characteristic, complemented
8C2×#14583241C211yesmaximal, characteristic, complemented
9C2×#14583207C211yesmaximal, characteristic, complemented
10C2×#14583195C211yesmaximal, characteristic, complemented
11C2×#14583157C211yesmaximal, characteristic, complemented
12C2×#14583140C211yesmaximal, characteristic, complemented
13C2×#14583007C211yesmaximal, characteristic, complemented
14C2×#14582941C211yesmaximal, characteristic, complemented
15C2×#14582937C211yesmaximal, characteristic, complemented
16C2×C43×#435C211yesmaximal, characteristic
17C22×Dic172C2211yescharacteristic
18#14583619—24no—
19#14583619C2218yes—
20#14583589—24no—
21#14583589C2218yes—
22C2×#13063325C2211yescharacteristic
23C2×#13063318—21no—
24C2×#13063318—21no—
25C2×#13063318—21no—
26C2×#13063317C2211yescharacteristic
27C2×#13063315—21no—
28C2×#13063312—21no—
29C2×#13063306—21no—
30C2×#13063304C2211yescharacteristic
31C2×#13063304C2211yescharacteristic
32C2×#13063304C2211yescharacteristic
33C2×#13063304C2211yescharacteristic
34C2×C4×Dic86C2211yescharacteristic
35C2×C4×Dic86C2211yescharacteristic
36C2×#13063290—21no—
37C2×#13063284C2211yescharacteristic
38C2×#13063284C2211yescharacteristic
39C2×#13063284C2211yescharacteristic
40C2×#13063281—21no—
41C22×C4⋊Dic43C2211yescharacteristic
42#14583308C2218yescomplemented
43#14583241C2218yescomplemented
44#14583241C2218yescomplemented
45#14583241C2218yescomplemented
46#14583235C2218yescomplemented
47#14583207C2218yescomplemented
48#14583195C2218yescomplemented
49#14583157C2218yescomplemented
50#14583140C2218yescomplemented
51#14583007C2218yescomplemented
52#14582941C2218yescomplemented
53#14582937C2218yescomplemented
54C2×#13063259C2211yescharacteristic
55C2×#13063259C2211yescharacteristic
56C2×#13063259C2211yescharacteristic
57C2×#13063259C2211yescharacteristic
58C2×#13063259C2211yescharacteristic
59C2×#13063257C2211yescharacteristic
60C2×#13063257C2211yescharacteristic
61C2×#13063257C2211yescharacteristic
62C2×#13063257C2211yescharacteristic
63C2×#13063250C2211yescharacteristic
64C2×#13063250C2211yescharacteristic
65C2×#13063250C2211yescharacteristic
66C2×#13063250C2211yescharacteristic
67C2×#13063250C2211yescharacteristic
68C2×#13063250C2211yescharacteristic
69C22×M16×C43C2211yescharacteristic
70C23×C8×C43C2211yescharacteristic
71C2×C4×D4×C43C2211yescharacteristic
72C43×#435C2218yes—
73C2×C4⋊C8×C43C2211yescharacteristic
74C2×C22⋊C8×C43C2211yescharacteristic
75C2×C22⋊C8×C43C2211yescharacteristic
76C2×#97×C43C2211yescharacteristic
77C22×Dic86—21no—
78C22×Dic86C2311yescharacteristic
79C22×Dic86C2311yescharacteristic
80C23×Dic43—21no—
81C2×Dic172—24no—
82C2×Dic172C2314yes—
83#13063325—22no—
84#13063325C2314yes—
85#13063318—28no—
86#13063318—28no—
87#13063318—28no—
88#13063317—22no—
89#13063317C2314yes—
90#13063315—28no—
91#13063312—28no—
92#13063306—28no—
93#13063304—22no—
94#13063304—22no—
95#13063304—22no—
96#13063304—22no—
97#13063304C2314yes—
98#13063304C2314yes—
99#13063304C2314yes—
100#13063304C2314yes—
101C4×Dic86—22no—
102C4×Dic86—22no—
103C4×Dic86C2314yes—
104C4×Dic86C2314yes—
105#13063290—28no—
106#13063284—22no—
107#13063284—22no—
108#13063284—22no—
109#13063284C2314yes—
110#13063284C2314yes—
111#13063284C2314yes—
112#13063281—28no—
113C2×C4⋊Dic43—22no—
114C2×C4⋊Dic43—21no—
115C2×C4⋊Dic43—21no—
116C2×C4⋊Dic43C2314yes—
117C2×C4⋊Dic43C2311yescharacteristic
118C2×C4⋊Dic43C2311yescharacteristic
119C2×C4⋊Dic43C2311yescharacteristic
120C2×C4⋊Dic43C2311yescharacteristic
121C2×C4⋊Dic43C2311yescharacteristic
122C2×C4⋊Dic43C2311yescharacteristic
123C2×Dic43⋊C4—21no—
124C2×Dic43⋊C4—21no—
125C2×Dic43⋊C4—21no—
126C2×Dic43⋊C4—21no—
127C2×Dic43⋊C4—21no—
128C2×Dic43⋊C4—21no—
129C2×Dic43⋊C4—21no—
130C2×Dic43⋊C4—21no—
131C2×C22⋊Dic43—21no—
132C2×C22⋊Dic43—21no—
133C2×C22⋊Dic43—21no—
134C2×C22⋊Dic43—21no—
135C2×C22⋊Dic43—21no—
136C2×C22⋊Dic43—21no—
137C2×C22⋊Dic43—21no—
138C2×C4×Dic43—21no—
139C2×C4×Dic43—21no—
140C2×C4×Dic43—21no—
141C2×C4×Dic43—21no—
142C2×C4×Dic43—21no—
143#13063259C2314yes—
144#13063259C2314yes—
145#13063259C2314yes—
146#13063259C2314yes—
147#13063259C2314yes—
148#13063257C2314yes—
149#13063257C2314yes—
150#13063257C2314yes—
151#13063257C2314yes—
152#13063250C2314yes—
153#13063250C2314yes—
154#13063250C2314yes—
155#13063250C2314yes—
156#13063250C2314yes—
157#13063250C2314yes—
158C22×D4×C43D411yescharacteristic
159C23×C4×C43C2311yescharacteristic
160C23×C4×C43C2311yescharacteristic
161C2×M16×C43—24no—
162C2×M16×C43C2314yes—
163C22×C8×C43—24no—
164C22×C8×C43C2314yes—
165C22×C8×C43C2311yescharacteristic
166C22×C8×C43C2311yescharacteristic
167C22×C8×C43C2311yescharacteristic
168C22×C8×C43C2311yescharacteristic
169C4×D4×C43D414yes—
170C4×D4×C43C2314yes—
171C2×C4⋊C4×C43D411yescharacteristic
172C2×C22⋊C4×C43D411yescharacteristic
173C2×C22⋊C4×C43D411yescharacteristic
174C2×C42×C43C2311yescharacteristic
175C4⋊C8×C43C2314yes—
176C22⋊C8×C43C2314yes—
177C22⋊C8×C43C2314yes—
178#97×C43C2314yes—
179C24×C43C2×D411yescharacteristic
180C24×C43C2×D411yescharacteristic
181C2×D4×C43—42no—
182C2×D4×C43C2×D414yes—
183C22×C4×C43—22no—
184C22×C4×C43—22no—
185C22×C4×C43—22no—
186C22×C4×C43—22no—
187C22×C4×C43C2×D411yescharacteristic
188C22×C4×C43C2×D411yescharacteristic
189C22×C4×C43C2×D411yescharacteristic
190C22×C4×C43C2×D411yescharacteristic
191C22×C4×C43C2×D412yes—
192C22×C4×C43C2×D412yes—
193C22×C4×C43C2412yes—
194C22×C4×C43C2412yes—
195C22×C4×C43C2411yescharacteristic
196C22×Dic43—21no—
197C22×Dic43—21no—
198C22×Dic43—21no—
199C22×Dic43—21no—
200C22×Dic43—21no—
201C22×Dic43—21no—
202C22×Dic43—21no—
203C22×Dic43—21no—
204C22×Dic43—24no—
205C22×Dic43—44no—
206C2×Dic86—22no—
207C2×Dic86—22no—
208C2×Dic86—22no—
209C2×Dic86—22no—
210C2×Dic86—24no—
211C2×Dic86—21no—
212C2×Dic86—21no—
213C2×Dic86—44no—
214C2×Dic86C2412yes—
215C2×Dic86C2412yes—
216M16×C43—28no—
217C2×C8×C43—22no—
218C2×C8×C43—22no—
219C2×C8×C43—22no—
220C2×C8×C43—28no—
221C2×C8×C43#4114yes—
222C2×C8×C43C2412yes—
223C2×C8×C43C2412yes—
224C2×C8×C43C2412yes—
225C2×C8×C43C2412yes—
226C4⋊C4×C43C2×D414yes—
227C22⋊C4×C43C2×D414yes—
228C22⋊C4×C43C2×D414yes—
229C42×C43C2×D412yes—
230C42×C43C2412yes—
231C22⋊Dic43—24no—
232C22⋊Dic43—24no—
233C22⋊Dic43—24no—
234C22⋊Dic43—24no—
235C22⋊Dic43—24no—
236C22⋊Dic43—24no—
237C22⋊Dic43—24no—
238C4⋊Dic43—21no—
239C4⋊Dic43—21no—
240C4⋊Dic43—24no—
241C4⋊Dic43—24no—
242C4⋊Dic43—21no—
243C4⋊Dic43—21no—
244C4⋊Dic43—21no—
245C4⋊Dic43—21no—
246C4⋊Dic43C2412yes—
247C4⋊Dic43C2412yes—
248C4⋊Dic43C2412yes—
249C4⋊Dic43C2412yes—
250C4⋊Dic43C2412yes—
251C4⋊Dic43C2412yes—
252Dic43⋊C4—24no—
253Dic43⋊C4—24no—
254Dic43⋊C4—24no—
255Dic43⋊C4—24no—
256Dic43⋊C4—24no—
257Dic43⋊C4—24no—
258Dic43⋊C4—24no—
259Dic43⋊C4—24no—
260C4×Dic43—24no—
261C4×Dic43—24no—
262C4×Dic43—24no—
263C4×Dic43—24no—
264C4×Dic43—24no—
265Dic172—28no—
266C23×C43—22no—
267C23×C43—22no—
268C23×C43—22no—
269C23×C43—22no—
270C23×C43—22no—
271C23×C43—22no—
272C23×C43C22×D412yes—
273C23×C43C22×D412yes—
274C23×C43C22×D411yescharacteristic
275D4×C43—44no—
276C2×C4×C43—22no—
277C2×C4×C43—22no—
278C2×C4×C43—22no—
279C2×C4×C43—22no—
280C2×C4×C43—24no—
281C2×C4×C43—24no—
282C2×C4×C43—22no—
283C2×C4×C43—22no—
284C2×C4×C43—22no—
285C2×C4×C43—22no—
286C2×C4×C43C22×D412yes—
287C2×C4×C43C22×D412yes—
288C2×C4×C43C22×D412yes—
289C2×C4×C43C22×D412yes—
290C2×C4×C43C22×D411yescharacteristic
291C2×C4×C43C2×#4112yes—
292C2×C4×C432−1+412yes—
293C2×C4×C43C2511yescharacteristic
294C2×Dic43—22no—
295C2×Dic43—22no—
296C2×Dic43—22no—
297C2×Dic43—22no—
298C2×Dic43—22no—
299C2×Dic43—22no—
300C2×Dic43—22no—
301C2×Dic43—22no—
302C2×Dic43—48no—
303C2×Dic43—42no—
304C2×Dic43—42no—
305C2×Dic43—42no—
306C2×Dic43—42no—
307C2×Dic43—42no—
308C2×Dic43—42no—
309C2×Dic43—42no—
310C2×Dic43—42no—
311Dic86—22no—
312Dic86—22no—
313Dic86—22no—
314Dic86—22no—
315Dic86—48no—
316Dic86—42no—
317Dic86—42no—
318C8×C43—22no—
319C8×C43—22no—
320C8×C43—22no—
321C8×C43C2×#4114yes—
322C2×#3349—431nomaximal, Sylow
323C22×C43—22no—
324C22×C43—22no—
325C22×C43—22no—
326C22×C43—22no—
327C22×C43—22no—
328C22×C43—22no—
329C22×C43—44no—
330C22×C43—44no—
331C22×C43#54712yes—
332C22×C43#57512yes—
333C22×C43#57812yes—
334C22×C43C23×D411yescharacteristic
335C4×C43—22no—
336C4×C43—22no—
337C4×C43—22no—
338C4×C43—22no—
339C4×C43#54712yes—
340C4×C43C22×#4111yescharacteristic
341C4×C43C2×2−1+411yescharacteristic
342Dic43—42no—
343Dic43—42no—
344Dic43—42no—
345Dic43—42no—
346Dic43—42no—
347Dic43—42no—
348Dic43—42no—
349Dic43—42no—
350C2×#556—431no—
351C2×#552—431no—
352#3349—4316no—
353C2×#501—431no—
354C2×#484—431no—
355C2×#485—431no—
356C2×#485—431no—
357C2×#485—431no—
358C2×#479—431no—
359C2×#477—431no—
360C2×#470—431no—
361C2×#467—431no—
362C2×#441—431no—
363C2×#435D4311yescharacteristic
364C2×#428—431no—
365C2×#427—431no—
366C2×C43—42no—
367C2×C43—42no—
368C2×C43#334914yescomplemented
369C2×C43C2×#54711yescharacteristic
370C2×C43C2×#57511yescharacteristic
371C2×C43C2×#57811yescharacteristic
372C22×Q16—431no—
373C22×M16C2×D4311yescharacteristic
374C23×C8C2×D4311yescharacteristic
375#556—438no—
376#556—864no—
377#552—438no—
378#552—864no—
379C2×C4⋊Q8—431no—
380C2×#126—861no—
381C2×#126—861no—
382C2×#126—861no—
383C2×#125—431no—
384C2×#125—861no—
385C2×#124—861no—
386C2×#123—861no—
387C2×C22⋊Q8—431no—
388C2×C22⋊Q8—431no—
389C2×C22⋊Q8—431no—
390C2×C22⋊Q8—431no—
391C2×C4×Q8—431no—
392C2×C4×Q8—431no—
393C2×C4×Q8—861no—
394C2×C4×D4C2×D4311yescharacteristic
395C2×#117—431no—
396C2×#117—431no—
397C2×#117—431no—
398C2×#117—861no—
399C22×C4⋊C4—431no—
400#501—438no—
401#485—438no—
402#485—438no—
403#485—438no—
404#484—438no—
405#479—438no—
406#477—438no—
407#470—438no—
408#467—438no—
409#441—438no—
410#435C2×D4318yes—
411#428—438no—
412#427—438no—
413C2×#107—431no—
414C2×#107—431no—
415C2×#107—431no—
416C2×#107—431no—
417C2×#107—431no—
418C2×#106—431no—
419C2×#106—431no—
420C2×#106—431no—
421C2×#106—431no—
422C2×C4⋊C8C2×D4311yescharacteristic
423C2×#103—431no—
424C2×#103—431no—
425C2×#103—431no—
426C2×#103—431no—
427C2×#103—431no—
428C2×#103—431no—
429C2×C22⋊C8C2×D4311yescharacteristic
430C2×C22⋊C8C2×D4311yescharacteristic
431C2×#97C2×D4311yescharacteristic
432C43C2×#334911yescharacteristic, complemented, Sylow
433C22×Q8—431no—
434C22×Q8—431no—
435C22×Q8—861no—
436C22×D4D17211yescharacteristic
437C23×C4—861no—
438C23×C4C22×D4311yescharacteristic
439C23×C4C22×D4311yescharacteristic
440C2×Q16—434no—
441C2×Q16—864no—
442C2×M16—24no—
443C2×M16C22×D4314yes—
444C22×C8—24no—
445C22×C8C22×D4311yescharacteristic
446C22×C8C22×D4314yes—
447C22×C8C22×D4311yescharacteristic
448C22×C8C22×D4311yescharacteristic
449C22×C8C22×D4311yescharacteristic
450C4⋊Q8—434no—
451C4⋊Q8—862no—
452#126—868no—
453#126—868no—
454#126—868no—
455#125—434no—
456#125—868no—
457#125—862no—
458#124—868no—
459#123—868no—
460C22⋊Q8—434no—
461C22⋊Q8—434no—
462C22⋊Q8—434no—
463C22⋊Q8—434no—
464C22⋊Q8—862no—
465C22⋊Q8—862no—
466C22⋊Q8—862no—
467C22⋊Q8—862no—
468C4×Q8—434no—
469C4×Q8—434no—
470C4×Q8—868no—
471C4×Q8—862no—
472C4×Q8—862no—
473C4×D4D17214yes—
474C4×D4C22×D4314yes—
475#117—434no—
476#117—434no—
477#117—434no—
478#117—862no—
479#117—862no—
480#117—862no—
481#117—868no—
482C2×C4⋊C4—431no—
483C2×C4⋊C4—431no—
484C2×C4⋊C4—434no—
485C2×C4⋊C4—431no—
486C2×C4⋊C4—431no—
487C2×C4⋊C4—431no—
488C2×C4⋊C4—431no—
489C2×C4⋊C4—861no—
490C2×C4⋊C4—862no—
491C2×C4⋊C4—861no—
492C2×C4⋊C4—861no—
493C2×C4⋊C4—861no—
494C2×C4⋊C4—861no—
495C2×C4⋊C4—861no—
496C2×C4⋊C4—861no—
497C2×C4⋊C4—861no—
498C2×C4⋊C4—861no—
499C2×C4⋊C4—861no—
500C2×C4⋊C4D17211yescharacteristic
501C2×C22⋊C4—861no—
502C2×C22⋊C4—861no—
503C2×C22⋊C4—861no—
504C2×C22⋊C4—861no—
505C2×C22⋊C4—861no—
506C2×C22⋊C4—861no—
507C2×C22⋊C4—861no—
508C2×C22⋊C4D17211yescharacteristic
509C2×C22⋊C4D17211yescharacteristic
510C2×C42—861no—
511C2×C42—861no—
512C2×C42—861no—
513C2×C42—861no—
514C2×C42—861no—
515C2×C42C22×D4311yescharacteristic
516#107—434no—
517#107—434no—
518#107—434no—
519#107—434no—
520#107—434no—
521#106—434no—
522#106—434no—
523#106—434no—
524#106—434no—
525C4⋊C8C22×D4314yes—
526#103—434no—
527#103—434no—
528#103—434no—
529#103—434no—
530#103—434no—
531#103—434no—
532C22⋊C8C22×D4314yes—
533C22⋊C8C22×D4314yes—
534#97C22×D4314yes—
535C24C2×D17211yescharacteristic
536C24C2×D17211yescharacteristic
537C2×Q8—432no—
538C2×Q8—432no—
539C2×Q8—861no—
540C2×Q8—861no—
541C2×Q8—864no—
542C2×Q8—862no—
543C2×Q8—862no—
544C2×Q8—862no—
545C2×Q8—862no—
546C2×Q8—1724no—
547C2×D4—42no—
548C2×D4C2×D17214yes—
549C22×C4—22no—
550C22×C4—22no—
551C22×C4—22no—
552C22×C4—22no—
553C22×C4—864no—
554C22×C4—861no—
555C22×C4—861no—
556C22×C4—861no—
557C22×C4—861no—
558C22×C4—861no—
559C22×C4—861no—
560C22×C4—861no—
561C22×C4—861no—
562C22×C4—1724no—
563C22×C4C2×D17212yes—
564C22×C4C2×D17212yes—
565C22×C4C2×D17211yescharacteristic
566C22×C4C2×D17211yescharacteristic
567C22×C4C2×D17211yescharacteristic
568C22×C4C2×D17211yescharacteristic
569C22×C4C23×D4312yes—
570C22×C4C23×D4312yes—
571C22×C4C23×D4311yescharacteristic
572Q16—868no—
573M16—28no—
574C2×C8—22no—
575C2×C8—22no—
576C2×C8—22no—
577C2×C8—28no—
578C2×C8#1062190014yes—
579C2×C8C23×D4312yes—
580C2×C8C23×D4312yes—
581C2×C8C23×D4312yes—
582C2×C8C23×D4312yes—
583C4⋊C4—432no—
584C4⋊C4—432no—
585C4⋊C4—432no—
586C4⋊C4—432no—
587C4⋊C4—432no—
588C4⋊C4—432no—
589C4⋊C4—861no—
590C4⋊C4—861no—
591C4⋊C4—864no—
592C4⋊C4—861no—
593C4⋊C4—861no—
594C4⋊C4—861no—
595C4⋊C4—861no—
596C4⋊C4—864no—
597C4⋊C4—864no—
598C4⋊C4—864no—
599C4⋊C4—864no—
600C4⋊C4—864no—
601C4⋊C4—864no—
602C4⋊C4—864no—
603C4⋊C4—864no—
604C4⋊C4—864no—
605C4⋊C4C2×D17214yes—
606C22⋊C4—864no—
607C22⋊C4—864no—
608C22⋊C4—864no—
609C22⋊C4—864no—
610C22⋊C4—864no—
611C22⋊C4—864no—
612C22⋊C4—864no—
613C22⋊C4C2×D17214yes—
614C22⋊C4C2×D17214yes—
615C42—864no—
616C42—864no—
617C42—864no—
618C42—864no—
619C42—864no—
620C42C2×D17212yes—
621C42C23×D4312yes—
622C23—22no—
623C23—22no—
624C23—22no—
625C23—22no—
626C23—22no—
627C23—22no—
628C23C22×D17212yes—
629C23C22×D17212yes—
630C23C22×D17211yescharacteristic
631Q8—862no—
632Q8—862no—
633Q8—862no—
634Q8—862no—
635Q8—1728no—
636Q8—1722no—
637Q8—1722no—
638D4—44no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—862no—
650C2×C4—862no—
651C2×C4—862no—
652C2×C4—862no—
653C2×C4—862no—
654C2×C4—862no—
655C2×C4—862no—
656C2×C4—862no—
657C2×C4—1728no—
658C2×C4—1722no—
659C2×C4—1722no—
660C2×C4—1722no—
661C2×C4—1722no—
662C2×C4—1722no—
663C2×C4—1722no—
664C2×C4—1722no—
665C2×C4—1722no—
666C2×C4C22×D17212yes—
667C2×C4C22×D17212yes—
668C2×C4C22×D17212yes—
669C2×C4C22×D17212yes—
670C2×C4C22×D17211yescharacteristic
671C2×C4C2×#1062190012yes—
672C2×C4#1306337212yes—
673C2×C4C24×D4311yescharacteristic
674C8—22no—
675C8—22no—
676C8—22no—
677C8C2×#1062190014yes—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—22no—
684C22—44no—
685C22—44no—
686C22#1458355312yes—
687C22#1458369912yes—
688C22#1458371612yes—
689C22C23×D17211yescharacteristic
690C4—22no—
691C4—22no—
692C4—22no—
693C4—22no—
694C4—1722no—
695C4—1722no—
696C4—1722no—
697C4—1722no—
698C4—1722no—
699C4—1722no—
700C4—1722no—
701C4—1722no—
702C4#1458355312yes—
703C4C22×#1062190011yescharacteristic
704C4C2×#1306337211yescharacteristic
705C2—42no—
706C2—42no—
707C2#1914712714yesdirect product factor
708C2C2×#1458355311yescharacteristic
709C2C2×#1458369911yescharacteristic
710C2C2×#1458371611yescharacteristic
subgroupG/H
centerC23C22×D172
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#435C2
socleC23×C43C22×D4
prime radicalC22×D4×C43D4
hypercenterC2×#435D43
hypocenterC43C2×#3349
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
3. #19147127C2direct (N × H)
4. C2×#14583308C2semidirect
5. C2×#14583235C2semidirect
6. C2×#14583241C2semidirect
7. C2×#14583241C2semidirect
8. C2×#14583241C2semidirect
9. C2×#14583207C2semidirect
10. C2×#14583195C2semidirect
11. C2×#14583157C2semidirect
12. C2×#14583140C2semidirect
13. C2×#14583007C2semidirect
14. C2×#14582941C2semidirect
15. C2×#14582937C2semidirect
42. #14583308C22semidirect
43. #14583241C22semidirect
44. #14583241C22semidirect
45. #14583241C22semidirect
46. #14583235C22semidirect
47. #14583207C22semidirect
48. #14583195C22semidirect
49. #14583157C22semidirect
50. #14583140C22semidirect
51. #14583007C22semidirect
52. #14582941C22semidirect
53. #14582937C22semidirect
368. C2×C43#3349semidirect
432. C43C2×#3349semidirect
707. C2#19147127direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145836192
C2×#145835892
#191471272
C2×#145833082
C2×#145832352
C2×#145832412
C2×#145832072
C2×#145831952
C2×#145831572
C2×#145831402
C2×#145830072
C2×#145829412
C2×#145829372
C2×C43×#4352
C2×#334943