Finite Group Databasebeta

← C2×#19147371 #25976255

Subgroups — C2×#19147371 #25976255

Order 11008.

1854 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583624C211yesmaximal, characteristic, complemented
2C2×#14583608C211yesmaximal, characteristic
3#19147371C2116yesmaximal, direct product factor
4C2×#14583267C211yesmaximal, characteristic, complemented
5C2×#14583266C211yesmaximal, characteristic, complemented
6C2×#14583248C211yesmaximal, characteristic, complemented
7C2×#14583207C211yesmaximal, characteristic, complemented
8C2×#14583204C211yesmaximal, characteristic, complemented
9C2×#14583192C211yesmaximal, characteristic, complemented
10C2×#14583102C211yesmaximal, characteristic
11C2×#14583102C211yesmaximal, characteristic
12C2×#14583028C211yesmaximal, characteristic, complemented
13C2×#14583000C211yesmaximal, characteristic
14C2×#14582999C211yesmaximal, characteristic
15C2×SD16×Dic43C211yesmaximal, characteristic
16C2×C43×#461C211yesmaximal, characteristic
17C22×#10621883C2211yescharacteristic
18#14583624—24no—
19#14583624C2218yescomplemented
20#14583608—24no—
21#14583608C2218yes—
22C2×#13063324C2211yescharacteristic
23C2×#13063323C2211yescharacteristic
24C2×#13063323C2211yescharacteristic
25C2×#13063317C2211yescharacteristic
26C2×#13063316—21no—
27C2×#13063316C2211yescharacteristic
28C2×#13063315—21no—
29C2×#13063315—21no—
30C2×#13063304—21no—
31C2×#13063302—21no—
32C2×#13063302—21no—
33C2×Q8×Dic43C2211yescharacteristic
34C2×Q8×Dic43C2211yescharacteristic
35C2×C4×Dic86C2211yescharacteristic
36C2×C4×Dic86C2211yescharacteristic
37C2×#13063290—21no—
38C2×D4×Dic43C2211yescharacteristic
39C2×D4×Dic43C2211yescharacteristic
40C22×Dic43⋊C4—21no—
41#14583267C2218yescomplemented
42#14583266C2218yescomplemented
43#14583248C2218yescomplemented
44#14583207C2218yescomplemented
45#14583204C2218yescomplemented
46#14583192C2218yescomplemented
47#14583102C2218yes—
48#14583102C2218yes—
49#14583028C2218yescomplemented
50#14583000C2218yes—
51#14582999C2218yes—
52SD16×Dic43C2218yes—
53C2×#13063259C2211yescharacteristic
54C2×#13063258C2211yescharacteristic
55C2×#13063257C2211yescharacteristic
56C2×Dic43⋊C8C2211yescharacteristic
57C2×Dic43⋊C8C2211yescharacteristic
58C2×#13063250C2211yescharacteristic
59C2×#13063250C2211yescharacteristic
60C2×#13063249C2211yescharacteristic
61C2×#13063249C2211yescharacteristic
62C2×#13063249C2211yescharacteristic
63C2×#13063249C2211yescharacteristic
64C2×#13063248C2211yescharacteristic
65C2×#13063246C2211yescharacteristic
66C2×#13063236C2211yescharacteristic
67C2×#13063235C2211yescharacteristic
68C2×C8×Dic43C2211yescharacteristic
69C22×SD16×C43C2211yescharacteristic
70C22×SD16×C43C2211yescharacteristic
71C2×C4⋊Q8×C43C2211yescharacteristic
72C2×C4×D4×C43C2211yescharacteristic
73C43×#461C2218yes—
74C2×C4⋊C8×C43C2211yescharacteristic
75C2×#103×C43C2211yescharacteristic
76C2×#103×C43C2211yescharacteristic
77C22×Dic86—21no—
78C22×Dic86D411yescharacteristic
79C22×Dic86C2311yescharacteristic
80C23×Dic43—21no—
81C23×Dic43—21no—
82C2×#10621883—24no—
83C2×#10621883C2314yes—
84C22×C43⋊C8C2311yescharacteristic
85C22×C43⋊C8C2311yescharacteristic
86#13063324—22no—
87#13063324C2314yes—
88#13063323—22no—
89#13063323—22no—
90#13063323C2314yes—
91#13063323C2314yes—
92#13063317—22no—
93#13063317C2314yes—
94#13063316—28no—
95#13063316—22no—
96#13063316C2314yes—
97#13063315—28no—
98#13063315—28no—
99#13063304—28no—
100#13063302—28no—
101#13063302—28no—
102Q8×Dic43—22no—
103Q8×Dic43—22no—
104Q8×Dic43C2314yes—
105Q8×Dic43C2314yes—
106C4×Dic86—22no—
107C4×Dic86D414yes—
108C4×Dic86C2314yes—
109C4×Dic86C2314yes—
110#13063290—28no—
111D4×Dic43—22no—
112D4×Dic43—22no—
113D4×Dic43C2314yes—
114D4×Dic43C2314yes—
115C2×C4⋊Dic43—21no—
116C2×C4⋊Dic43—21no—
117C2×C4⋊Dic43—21no—
118C2×C4⋊Dic43D411yescharacteristic
119C2×C4⋊Dic43C2311yescharacteristic
120C2×C4⋊Dic43C2311yescharacteristic
121C2×C4⋊Dic43C2311yescharacteristic
122C2×Dic43⋊C4—21no—
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×Dic43⋊C4—28no—
132C2×Dic43⋊C4D411yescharacteristic
133C2×Dic43⋊C4D411yescharacteristic
134C2×C22⋊Dic43—21no—
135C2×C22⋊Dic43—21no—
136C2×C4×Dic43—21no—
137C2×C4×Dic43—21no—
138C2×C4×Dic43—21no—
139C2×C4×Dic43C2311yescharacteristic
140C2×C4×Dic43C2311yescharacteristic
141#13063259C2314yes—
142#13063258C2314yes—
143#13063257C2314yes—
144Dic43⋊C8C2314yes—
145Dic43⋊C8C2314yes—
146#13063250C2314yes—
147#13063250C2314yes—
148#13063249C2314yes—
149#13063249C2314yes—
150#13063249C2314yes—
151#13063249C2314yes—
152#13063248C2314yes—
153#13063246C2314yes—
154#13063236C2314yes—
155#13063235C2314yes—
156C8×Dic43C2314yes—
157C22×Q8×C43C2311yescharacteristic
158C22×Q8×C43C2311yescharacteristic
159C22×D4×C43C2311yescharacteristic
160C23×C4×C43—21no—
161C2×SD16×C43—24no—
162C2×SD16×C43—24no—
163C2×SD16×C43C2314yes—
164C2×SD16×C43C2314yes—
165C22×C8×C43C2311yescharacteristic
166C22×C8×C43C2311yescharacteristic
167C4⋊Q8×C43—22no—
168C4⋊Q8×C43C2314yes—
169C4×D4×C43—22no—
170C4×D4×C43C2314yes—
171C2×C4⋊C4×C43—21no—
172C2×C4⋊C4×C43—21no—
173C2×C4⋊C4×C43C2311yescharacteristic
174C2×C22⋊C4×C43—21no—
175C2×C42×C43C2311yescharacteristic
176C4⋊C8×C43C2314yes—
177#103×C43C2314yes—
178#103×C43C2314yes—
179C24×C43—21no—
180C2×Q8×C43—21no—
181C2×Q8×C43—21no—
182C2×Q8×C43—22no—
183C2×Q8×C43—22no—
184C2×Q8×C43—22no—
185C2×Q8×C43—22no—
186C2×Q8×C43C2412yes—
187C2×Q8×C43C2412yes—
188C2×D4×C43—21no—
189C2×D4×C43—22no—
190C2×D4×C43#4114yes—
191C2×D4×C43C2412yes—
192C22×C4×C43—24no—
193C22×C4×C43—21no—
194C22×C4×C43—21no—
195C22×C4×C43—21no—
196C22×C4×C43—82no—
197C22×C4×C43C2×D411yescharacteristic
198C22×C4×C43C2×D411yescharacteristic
199C22×C4×C43C2411yescharacteristic
200C22×Dic43—24no—
201C22×Dic43—24no—
202C22×Dic43—21no—
203C22×Dic43—21no—
204C22×Dic43—21no—
205C22×Dic43—21no—
206C22×Dic43—44no—
207C22×Dic43—82no—
208C22×Dic43C2×D411yescharacteristic
209C22×Dic43C2×D411yescharacteristic
210C22×Dic43C2×D411yescharacteristic
211C22×Dic43C2×D411yescharacteristic
212C2×Dic86—24no—
213C2×Dic86—22no—
214C2×Dic86—22no—
215C2×Dic86—21no—
216C2×Dic86—24no—
217C2×Dic86—82no—
218C2×Dic86C2×D414yes—
219C2×Dic86C2412yes—
220SD16×C43—28no—
221SD16×C43—28no—
222C2×C8×C43—22no—
223C2×C8×C43—22no—
224C2×C8×C43C2412yes—
225C2×C8×C43C2412yes—
226C4⋊C4×C43—24no—
227C4⋊C4×C43—24no—
228C4⋊C4×C43—21no—
229C4⋊C4×C43C2412yes—
230C22⋊C4×C43—24no—
231C42×C43C2×D412yes—
232C42×C43C2412yes—
233C22⋊Dic43—24no—
234C22⋊Dic43—24no—
235#10621883—28no—
236C4⋊Dic43—21no—
237C4⋊Dic43—21no—
238C4⋊Dic43—21no—
239C4⋊Dic43—24no—
240C4⋊Dic43—24no—
241C4⋊Dic43—24no—
242C4⋊Dic43C2×D414yes—
243C4⋊Dic43C2412yes—
244C4⋊Dic43C2412yes—
245C4⋊Dic43C2412yes—
246Dic43⋊C4—24no—
247Dic43⋊C4—24no—
248Dic43⋊C4—24no—
249Dic43⋊C4—24no—
250Dic43⋊C4—24no—
251Dic43⋊C4—24no—
252Dic43⋊C4—24no—
253Dic43⋊C4—24no—
254Dic43⋊C4—24no—
255Dic43⋊C4C2×D414yes—
256Dic43⋊C4C2×D414yes—
257C4×Dic43—24no—
258C4×Dic43—24no—
259C4×Dic43—24no—
260C4×Dic43C2×D412yes—
261C4×Dic43C2×D412yes—
262C4×Dic43C2412yes—
263C4×Dic43C2412yes—
264C2×C43⋊C8—22no—
265C2×C43⋊C8—22no—
266C2×C43⋊C8C2412yes—
267C2×C43⋊C8C2412yes—
268C23×C43—24no—
269C23×C43—22no—
270C23×C43—42no—
271C23×C43—42no—
272C23×C43C22×D411yescharacteristic
273Q8×C43—22no—
274Q8×C43—22no—
275Q8×C43—22no—
276Q8×C43—22no—
277Q8×C43—42no—
278Q8×C43—42no—
279D4×C43—24no—
280D4×C43—22no—
281D4×C43C2×#4114yes—
282C2×C4×C43—22no—
283C2×C4×C43—22no—
284C2×C4×C43—22no—
285C2×C4×C43—22no—
286C2×C4×C43—22no—
287C2×C4×C43—42no—
288C2×C4×C43—42no—
289C2×C4×C43—42no—
290C2×C4×C43—84no—
291C2×C4×C43C22×D412yes—
292C2×C4×C43C22×D412yes—
293C2×C4×C43C22×D411yescharacteristic
294C2×C4×C43C2×#4112yes—
295C2×C4×C432−1+412yes—
296C2×C4×C43C2511yescharacteristic
297C2×Dic43—22no—
298C2×Dic43—22no—
299C2×Dic43—22no—
300C2×Dic43—22no—
301C2×Dic43—22no—
302C2×Dic43—22no—
303C2×Dic43—22no—
304C2×Dic43—42no—
305C2×Dic43—42no—
306C2×Dic43—42no—
307C2×Dic43—42no—
308C2×Dic43—48no—
309C2×Dic43—84no—
310C2×Dic43#13714yes—
311C2×Dic43C22×D412yes—
312C2×Dic43C22×D412yes—
313C2×Dic43C22×D412yes—
314C2×Dic43C22×D412yes—
315Dic86—28no—
316Dic86—22no—
317Dic86—22no—
318Dic86—42no—
319Dic86—84no—
320C8×C43—22no—
321C8×C43—22no—
322C43⋊C8—22no—
323C43⋊C8—22no—
324C2×#3372—431nomaximal, Sylow
325C22×C43—24no—
326C22×C43—48no—
327C22×C43—42no—
328C22×C43—42no—
329C22×C43#54812yes—
330C22×C43C2×#13712yes—
331C22×C43#57712yes—
332C22×C43C23×D411yescharacteristic
333C4×C43—22no—
334C4×C43—22no—
335C4×C43—42no—
336C4×C43—42no—
337C4×C43—42no—
338C4×C43#54812yes—
339C4×C43C22×#4111yescharacteristic
340C4×C43C2×2−1+411yescharacteristic
341Dic43—22no—
342Dic43—22no—
343Dic43—22no—
344Dic43—42no—
345Dic43—42no—
346Dic43—42no—
347Dic43—42no—
348Dic43C2×#13714yes—
349C2×#557—431no—
350C2×#554—431no—
351#3372—4316no—
352C2×#491—431no—
353C2×#491—431no—
354C2×#487—431no—
355C2×#479—431no—
356C2×#479—431no—
357C2×#477—431no—
358C2×#461—431no—
359C2×#461—431no—
360C2×#461D4311yescharacteristic
361C2×#446—431no—
362C2×#440—431no—
363C2×#440—431no—
364C2×C4×SD16—431no—
365C2×C43—44no—
366C2×C43#337214yescomplemented
367C2×C43C2×#54811yescharacteristic
368C2×C43C22×#13711yescharacteristic
369C2×C43C2×#57711yescharacteristic
370C22×SD16—431no—
371C22×SD16C2×D4311yescharacteristic
372C22×SD16C2×D4311yescharacteristic
373#557—438no—
374#557—864no—
375#554—438no—
376#554—864no—
377C2×C4⋊Q8—431no—
378C2×C4⋊Q8—431no—
379C2×C4⋊Q8—431no—
380C2×C4⋊Q8C2×D4311yescharacteristic
381C2×#125—431no—
382C2×#125—431no—
383C2×#125—861no—
384C2×#125—861no—
385C2×#125—861no—
386C2×C22⋊Q8—861no—
387C2×C22⋊Q8—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—
395C2×C4×D4—431no—
396C2×C4×D4C2×D4311yescharacteristic
397C22×C4⋊C4—861no—
398#491—438no—
399#491—438no—
400#487—438no—
401#479—438no—
402#479—438no—
403#477—438no—
404#461—438no—
405#461—438no—
406#461C2×D4318yes—
407#446—438no—
408#440—438no—
409#440—438no—
410C4×SD16—438no—
411C2×#107—431no—
412C2×#107—431no—
413C2×#106—431no—
414C2×C4⋊C8—431no—
415C2×C4⋊C8—431no—
416C2×C4⋊C8C2×D4311yescharacteristic
417C2×#103—431no—
418C2×#103—431no—
419C2×#103—431no—
420C2×#103—431no—
421C2×#103—431no—
422C2×#103—431no—
423C2×#103—431no—
424C2×#103C2×D4311yescharacteristic
425C2×#103C2×D4311yescharacteristic
426C2×#102—431no—
427C2×#97—431no—
428C2×#97—431no—
429C2×C4×C8—431no—
430C43C2×#337211yescharacteristic, complemented, Sylow
431C22×Q8—431no—
432C22×Q8—431no—
433C22×Q8—861no—
434C22×Q8C22×D4311yescharacteristic
435C22×Q8C22×D4311yescharacteristic
436C22×D4C22×D4311yescharacteristic
437C23×C4—21no—
438C23×C4—861no—
439C23×C4—861no—
440C2×SD16—24no—
441C2×SD16—24no—
442C2×SD16—434no—
443C2×SD16—864no—
444C2×SD16C22×D4314yes—
445C2×SD16C22×D4314yes—
446C22×C8—431no—
447C22×C8—431no—
448C22×C8C22×D4311yescharacteristic
449C22×C8C22×D4311yescharacteristic
450C4⋊Q8—22no—
451C4⋊Q8—434no—
452C4⋊Q8—434no—
453C4⋊Q8—434no—
454C4⋊Q8—862no—
455C4⋊Q8—862no—
456C4⋊Q8—862no—
457C4⋊Q8C22×D4314yes—
458#125—434no—
459#125—434no—
460#125—862no—
461#125—868no—
462#125—868no—
463#125—868no—
464#125—862no—
465C22⋊Q8—868no—
466C22⋊Q8—868no—
467C22⋊Q8—868no—
468C4×Q8—434no—
469C4×Q8—434no—
470C4×Q8—434no—
471C4×Q8—434no—
472C4×Q8—434no—
473C4×Q8—862no—
474C4×Q8—862no—
475C4×Q8—868no—
476C4×Q8—862no—
477C4×D4—22no—
478C4×D4—434no—
479C4×D4—434no—
480C4×D4—862no—
481C4×D4—862no—
482C4×D4C22×D4314yes—
483C2×C4⋊C4—21no—
484C2×C4⋊C4—21no—
485C2×C4⋊C4—431no—
486C2×C4⋊C4—431no—
487C2×C4⋊C4—431no—
488C2×C4⋊C4—431no—
489C2×C4⋊C4—431no—
490C2×C4⋊C4—431no—
491C2×C4⋊C4—868no—
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⋊C4—861no—
501C2×C4⋊C4—861no—
502C2×C4⋊C4—861no—
503C2×C4⋊C4—861no—
504C2×C4⋊C4C22×D4311yescharacteristic
505C2×C22⋊C4—21no—
506C2×C22⋊C4—861no—
507C2×C22⋊C4—861no—
508C2×C42—431no—
509C2×C42—431no—
510C2×C42—861no—
511C2×C42—861no—
512C2×C42—861no—
513C2×C42C22×D4311yescharacteristic
514#107—434no—
515#107—434no—
516#106—434no—
517C4⋊C8—434no—
518C4⋊C8—434no—
519C4⋊C8C22×D4314yes—
520#103—434no—
521#103—434no—
522#103—434no—
523#103—434no—
524#103—434no—
525#103—434no—
526#103—434no—
527#103C22×D4314yes—
528#103C22×D4314yes—
529#102—434no—
530#97—434no—
531#97—434no—
532C4×C8—434no—
533C24—21no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—22no—
537C2×Q8—22no—
538C2×Q8—22no—
539C2×Q8—22no—
540C2×Q8—434no—
541C2×Q8—432no—
542C2×Q8—864no—
543C2×Q8—864no—
544C2×Q8—861no—
545C2×Q8—862no—
546C2×Q8—862no—
547C2×Q8—3442no—
548C2×Q8C23×D4312yes—
549C2×Q8C23×D4312yes—
550C2×D4—21no—
551C2×D4—22no—
552C2×D4#1062190014yes—
553C2×D4C23×D4312yes—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—24no—
558C22×C4—82no—
559C22×C4—431no—
560C22×C4—431no—
561C22×C4—431no—
562C22×C4—431no—
563C22×C4—864no—
564C22×C4—864no—
565C22×C4—861no—
566C22×C4—861no—
567C22×C4—861no—
568C22×C4—861no—
569C22×C4—3442no—
570C22×C4—1724no—
571C22×C4D4×D4311yescharacteristic
572C22×C4D4×D4311yescharacteristic
573C22×C4C23×D4311yescharacteristic
574SD16—28no—
575SD16—28no—
576SD16—868no—
577C2×C8—22no—
578C2×C8—22no—
579C2×C8—432no—
580C2×C8—432no—
581C2×C8—862no—
582C2×C8—862no—
583C2×C8C23×D4312yes—
584C2×C8C23×D4312yes—
585C4⋊C4—24no—
586C4⋊C4—24no—
587C4⋊C4—21no—
588C4⋊C4—434no—
589C4⋊C4—434no—
590C4⋊C4—434no—
591C4⋊C4—432no—
592C4⋊C4—432no—
593C4⋊C4—432no—
594C4⋊C4—864no—
595C4⋊C4—864no—
596C4⋊C4—864no—
597C4⋊C4—864no—
598C4⋊C4—864no—
599C4⋊C4—864no—
600C4⋊C4—864no—
601C4⋊C4—864no—
602C4⋊C4—864no—
603C4⋊C4—861no—
604C4⋊C4—861no—
605C4⋊C4—861no—
606C4⋊C4—864no—
607C4⋊C4—864no—
608C4⋊C4—864no—
609C4⋊C4C23×D4312yes—
610C22⋊C4—24no—
611C22⋊C4—864no—
612C22⋊C4—864no—
613C42—432no—
614C42—432no—
615C42—432no—
616C42—432no—
617C42—864no—
618C42—864no—
619C42—864no—
620C42D4×D4312yes—
621C42C23×D4312yes—
622C23—24no—
623C23—22no—
624C23—42no—
625C23—42no—
626C23C2×D4×D4311yescharacteristic
627Q8—22no—
628Q8—22no—
629Q8—22no—
630Q8—22no—
631Q8—42no—
632Q8—42no—
633Q8—868no—
634Q8—862no—
635Q8—862no—
636Q8—3444no—
637Q8—1722no—
638D4—24no—
639D4—22no—
640D4C2×#1062190014yes—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—84no—
650C2×C4—434no—
651C2×C4—432no—
652C2×C4—432no—
653C2×C4—432no—
654C2×C4—432no—
655C2×C4—862no—
656C2×C4—862no—
657C2×C4—862no—
658C2×C4—862no—
659C2×C4—862no—
660C2×C4—862no—
661C2×C4—862no—
662C2×C4—3444no—
663C2×C4—1728no—
664C2×C4—1722no—
665C2×C4—1722no—
666C2×C4—1722no—
667C2×C4—1722no—
668C2×C4C2×D4×D4312yes—
669C2×C4C2×D4×D4312yes—
670C2×C4C2×D4×D4311yescharacteristic
671C2×C4C2×#1062190012yes—
672C2×C4#1306337212yes—
673C2×C4C24×D4311yescharacteristic
674C8—22no—
675C8—22no—
676C8—862no—
677C8—862no—
678C22—24no—
679C22—42no—
680C22—42no—
681C22—48no—
682C22#1458355512yes—
683C22#137×D4312yes—
684C22#1458370512yes—
685C22C22×D4×D4311yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—434no—
692C4—862no—
693C4—862no—
694C4—862no—
695C4—1722no—
696C4—1722no—
697C4—1722no—
698C4—1722no—
699C4#1458355512yes—
700C4C22×#1062190011yescharacteristic
701C4C2×#1306337211yescharacteristic
702C2—44no—
703C2#1914737114yesdirect product factor
704C2C2×#1458355511yescharacteristic
705C2C2×#137×D4311yescharacteristic
706C2C2×#1458370511yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#461C2
socleC23×C43C22×D4
prime radicalC22×D4×C43C23
hypercenterC2×#461D43
hypocenterC43C2×#3372
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#461

Complements

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

NH ≅ G/Ntype
1. C2×#14583624C2semidirect
3. #19147371C2direct (N × H)
4. C2×#14583267C2semidirect
5. C2×#14583266C2semidirect
6. C2×#14583248C2semidirect
7. C2×#14583207C2semidirect
8. C2×#14583204C2semidirect
9. C2×#14583192C2semidirect
12. C2×#14583028C2semidirect
19. #14583624C22semidirect
41. #14583267C22semidirect
42. #14583266C22semidirect
43. #14583248C22semidirect
44. #14583207C22semidirect
45. #14583204C22semidirect
46. #14583192C22semidirect
49. #14583028C22semidirect
366. C2×C43#3372semidirect
430. C43C2×#3372semidirect
703. C2#19147371direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145836242
C2×#145836082
#191473712
C2×#145832672
C2×#145832662
C2×#145832482
C2×#145832072
C2×#145832042
C2×#145831922
C2×#145831022
C2×#145830282
C2×#145830002
C2×#145829992
C2×SD16×Dic432
C2×C43×#4612
C2×#337243