Finite Group Databasebeta

← C2×#19145843 #25968781

Subgroups — C2×#19145843 #25968781

Order 11008.

1806 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583529C211yesmaximal, characteristic, complemented
2C2×#14583503C211yesmaximal, characteristic
3#19145843C2116yesmaximal, direct product factor
4C2×#14583308C211yesmaximal, characteristic, complemented
5C2×#14583298C211yesmaximal, characteristic, complemented
6C2×#14583245C211yesmaximal, characteristic, complemented
7C2×#14583216C211yesmaximal, characteristic, complemented
8C2×#14583222C211yesmaximal, characteristic, complemented
9C2×#14583221C211yesmaximal, characteristic, complemented
10C2×#14583211C211yesmaximal, characteristic, complemented
11C2×#14583201C211yesmaximal, characteristic, complemented
12C2×#14583197C211yesmaximal, characteristic, complemented
13C2×#14583187C211yesmaximal, characteristic, complemented
14C2×#14583177C211yesmaximal, characteristic, complemented
15C2×#14582961C211yesmaximal, characteristic, complemented
16C2×C43×#490C211yesmaximal, characteristic, complemented
17#14583529—24no—
18#14583529C2218yescomplemented
19#14583503—24no—
20#14583503C2218yes—
21C2×#13063325C2211yescharacteristic
22C2×#13063324—21no—
23C2×#13063324C2211yescharacteristic
24C2×#13063317C2211yescharacteristic
25C2×#13063316C2211yescharacteristic
26C2×#13063315—21no—
27C2×#13063306—21no—
28C2×#13063306—21no—
29C2×#13063305—21no—
30C2×#13063303—21no—
31C2×#13063297—21no—
32C2×#13063297—21no—
33C2×#13063296C2211yescharacteristic
34C2×#13063296C2211yescharacteristic
35C2×D4×Dic43C2211yescharacteristic
36C2×D4×Dic43C2211yescharacteristic
37C2×#13063283C2211yescharacteristic
38C2×#13063282C2211yescharacteristic
39C2×C4⋊C4×D43C2211yescharacteristic
40#14583308C2218yescomplemented
41#14583298C2218yescomplemented
42#14583245C2218yescomplemented
43#14583222C2218yescomplemented
44#14583221C2218yescomplemented
45#14583216C2218yescomplemented
46#14583211C2218yescomplemented
47#14583201C2218yescomplemented
48#14583197C2218yescomplemented
49#14583187C2218yescomplemented
50#14583177C2218yescomplemented
51#14582961C2218yescomplemented
52C2×#13063259C2211yescharacteristic
53C2×#13063259C2211yescharacteristic
54C2×#13063258C2211yescharacteristic
55C2×#13063258C2211yescharacteristic
56C2×#13063257C2211yescharacteristic
57C2×#13063257C2211yescharacteristic
58C2×#13063256C2211yescharacteristic
59C2×#13063256C2211yescharacteristic
60C2×Dic43⋊C8C2211yescharacteristic
61C2×Dic43⋊C8C2211yescharacteristic
62C2×#13063246C2211yescharacteristic
63C2×#13063246C2211yescharacteristic
64C2×#13063246C2211yescharacteristic
65C2×#13063246C2211yescharacteristic
66C2×(C2×D43)⋊C8C2211yescharacteristic
67C2×(C2×D43)⋊C8C2211yescharacteristic
68C2×C4×C43⋊C8C2211yescharacteristic
69C2×#127×C43C2211yescharacteristic
70C2×#125×C43C2211yescharacteristic
71C43×#490C2218yescomplemented
72C2×#102×C43C2211yescharacteristic
73C2×#102×C43C2211yescharacteristic
74C2×#102×C43C2211yescharacteristic
75C2×#102×C43C2211yescharacteristic
76C2×#97×C43C2211yescharacteristic
77C22×Dic86—21no—
78C22×Dic86—21no—
79C22×C22⋊D43—21no—
80C22×C22⋊D43—21no—
81C23×Dic43—21no—
82C23×Dic43—21no—
83C22×C4×D43—21no—
84C22×C4×D43C2311yescharacteristic
85C22×C43⋊C8C2311yescharacteristic
86C22×C43⋊C8C2311yescharacteristic
87#13063325—22no—
88#13063325C2314yes—
89#13063324—28no—
90#13063324—22no—
91#13063324C2314yes—
92#13063317—22no—
93#13063317C2314yes—
94#13063316—22no—
95#13063316C2314yes—
96#13063315—28no—
97#13063306—28no—
98#13063306—28no—
99#13063305—28no—
100#13063303—28no—
101#13063297—28no—
102#13063297—28no—
103#13063296—22no—
104#13063296—22no—
105#13063296C2314yes—
106#13063296C2314yes—
107D4×Dic43—22no—
108D4×Dic43—22no—
109D4×Dic43C2314yes—
110D4×Dic43C2314yes—
111#13063283—22no—
112#13063283C2314yes—
113#13063282D414yes—
114#13063282C2314yes—
115C2×C4⋊Dic43—21no—
116C2×C4⋊Dic43—21no—
117C2×C4⋊Dic43C2311yescharacteristic
118C2×C4⋊Dic43C2311yescharacteristic
119C2×C4⋊Dic43C2311yescharacteristic
120C2×C4⋊Dic43C2311yescharacteristic
121C2×Dic43⋊C4—21no—
122C2×Dic43⋊C4—21no—
123C2×Dic43⋊C4—21no—
124C2×Dic43⋊C4—21no—
125C2×Dic43⋊C4—21no—
126C2×Dic43⋊C4D411yescharacteristic
127C2×Dic43⋊C4D411yescharacteristic
128C4⋊C4×D43—22no—
129C4⋊C4×D43C2314yes—
130C2×C22⋊Dic43—21no—
131C2×C22⋊Dic43—21no—
132C2×C22⋊Dic43—21no—
133C2×C22⋊Dic43—21no—
134C2×(C2×D43)⋊C4—21no—
135C2×(C2×D43)⋊C4D411yescharacteristic
136C2×(C2×D43)⋊C4D411yescharacteristic
137C2×C4×Dic43—21no—
138C2×C4×Dic43C2311yescharacteristic
139#13063259C2314yes—
140#13063259C2314yes—
141#13063258C2314yes—
142#13063258C2314yes—
143#13063257C2314yes—
144#13063257C2314yes—
145#13063256C2314yes—
146#13063256C2314yes—
147Dic43⋊C8C2314yes—
148Dic43⋊C8C2314yes—
149#13063246C2314yes—
150#13063246C2314yes—
151#13063246C2314yes—
152#13063246C2314yes—
153(C2×D43)⋊C8C2314yes—
154(C2×D43)⋊C8C2314yes—
155C4×C43⋊C8C2314yes—
156C22×D4×C43—21no—
157C22×D4×C43—21no—
158C22×D4×C43C2311yescharacteristic
159C22×D4×C43C2311yescharacteristic
160C22×C8×C43C2311yescharacteristic
161C22×C8×C43C2311yescharacteristic
162#127×C43—22no—
163#127×C43C2314yes—
164#125×C43—22no—
165#125×C43C2314yes—
166C2×C4⋊C4×C43—21no—
167C2×C4⋊C4×C43—21no—
168C2×C4⋊C4×C43C2311yescharacteristic
169C2×C4⋊C4×C43C2311yescharacteristic
170C2×C42×C43C2311yescharacteristic
171#102×C43C2314yes—
172#102×C43C2314yes—
173#102×C43C2314yes—
174#102×C43C2314yes—
175#97×C43C2314yes—
176C24×C43—21no—
177C24×C43—21no—
178C23×D43C2×D411yescharacteristic
179C2×D4×C43—21no—
180C2×D4×C43—21no—
181C2×D4×C43—24no—
182C2×D4×C43—24no—
183C2×D4×C43—22no—
184C2×D4×C43—22no—
185C2×D4×C43—22no—
186C2×D4×C43—22no—
187C2×D4×C43—82no—
188C2×D4×C43—82no—
189C2×D4×C43C2412yes—
190C2×D4×C43C2412yes—
191C22×C4×C43—21no—
192C22×C4×C43—21no—
193C22×C4×C43C2×D411yescharacteristic
194C22×C4×C43C2×D411yescharacteristic
195C22×C4×C43C2411yescharacteristic
196C2×C22⋊D43—24no—
197C2×C22⋊D43—24no—
198C2×C22⋊D43—82no—
199C2×C22⋊D43—82no—
200C22×Dic43—24no—
201C22×Dic43—24no—
202C22×Dic43—21no—
203C22×Dic43—21no—
204C22×Dic43—21no—
205C22×Dic43—21no—
206C22×Dic43—82no—
207C22×Dic43—82no—
208C22×Dic43C2×D411yescharacteristic
209C22×Dic43C2×D411yescharacteristic
210C22×Dic43C2×D411yescharacteristic
211C2×C4×D43—22no—
212C2×C4×D43—22no—
213C2×C4×D43—24no—
214C2×C4×D43—82no—
215C2×C4×D43C2×D412yes—
216C2×C4×D43C2412yes—
217C2×Dic86—24no—
218C2×Dic86—24no—
219C2×Dic86—82no—
220C2×Dic86—82no—
221C2×C8×C43—22no—
222C2×C8×C43—22no—
223C2×C8×C43C2412yes—
224C2×C8×C43C2412yes—
225C4⋊C4×C43—24no—
226C4⋊C4×C43—24no—
227C4⋊C4×C43—21no—
228C4⋊C4×C43—21no—
229C4⋊C4×C43C2412yes—
230C4⋊C4×C43C2412yes—
231C42×C43C2×D412yes—
232C42×C43C2412yes—
233C22⋊Dic43—24no—
234C22⋊Dic43—24no—
235C22⋊Dic43—24no—
236C22⋊Dic43—24no—
237(C2×D43)⋊C4—24no—
238(C2×D43)⋊C4C2×D414yes—
239(C2×D43)⋊C4C2×D414yes—
240C4⋊Dic43—21no—
241C4⋊Dic43—24no—
242C4⋊Dic43—21no—
243C4⋊Dic43—21no—
244C4⋊Dic43—21no—
245C4⋊Dic43—24no—
246C4⋊Dic43C2412yes—
247C4⋊Dic43C2412yes—
248C4⋊Dic43C2412yes—
249C4⋊Dic43C2412yes—
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×Dic43C2×D412yes—
259C4×Dic43C2412yes—
260C2×C43⋊C8—22no—
261C2×C43⋊C8—22no—
262C2×C43⋊C8C2412yes—
263C2×C43⋊C8C2412yes—
264C23×C43—22no—
265C23×C43—22no—
266C23×C43—42no—
267C23×C43—42no—
268C23×C43—42no—
269C23×C43—42no—
270C23×C43—42no—
271C23×C43—42no—
272C23×C43C22×D411yescharacteristic
273C22×D43—22no—
274C22×D43—22no—
275C22×D43—22no—
276C22×D43C22×D412yes—
277D4×C43—22no—
278D4×C43—22no—
279D4×C43—22no—
280D4×C43—22no—
281D4×C43—42no—
282D4×C43—42no—
283D4×C43—84no—
284D4×C43—84no—
285C2×C4×C43—22no—
286C2×C4×C43—22no—
287C2×C4×C43—22no—
288C2×C4×C43—22no—
289C2×C4×C43—42no—
290C2×C4×C43—42no—
291C2×C4×C43C22×D412yes—
292C2×C4×C43C22×D412yes—
293C2×C4×C43C22×D411yescharacteristic
294C2×C4×C432−1+412yes—
295C2×C4×C432−1+412yes—
296C2×C4×C43C2511yescharacteristic
297C22⋊D43—84no—
298C22⋊D43—84no—
299C2×Dic43—22no—
300C2×Dic43—22no—
301C2×Dic43—22no—
302C2×Dic43—22no—
303C2×Dic43—22no—
304C2×Dic43—22no—
305C2×Dic43—22no—
306C2×Dic43—42no—
307C2×Dic43—42no—
308C2×Dic43—42no—
309C2×Dic43—42no—
310C2×Dic43—84no—
311C2×Dic43—84no—
312C2×Dic43C22×D412yes—
313C2×Dic43C22×D412yes—
314C2×Dic43C22×D412yes—
315C4×D43—24no—
316C4×D43—22no—
317C4×D43—22no—
318C4×D43—84no—
319Dic86—84no—
320Dic86—84no—
321C8×C43—22no—
322C8×C43—22no—
323C43⋊C8—22no—
324C43⋊C8—22no—
325C2×#3241—431nomaximal, Sylow
326C22×C43—42no—
327C22×C43—42no—
328C22×C43—42no—
329C22×C43—42no—
330C22×C43—42no—
331C22×C43—42no—
332C22×C43—84no—
333C22×C43—84no—
334C22×C43#53612yes—
335C22×C43#57612yes—
336C22×C43#57712yes—
337C22×C43C23×D411yescharacteristic
338C2×D43—22no—
339C2×D43—22no—
340C2×D43—22no—
341C2×D43—44no—
342C4×C43—22no—
343C4×C43—22no—
344C4×C43—42no—
345C4×C43—42no—
346C4×C43#53612yes—
347C4×C43C2×2−1+411yescharacteristic
348C4×C43C2×2−1+411yescharacteristic
349Dic43—22no—
350Dic43—22no—
351Dic43—22no—
352Dic43—42no—
353Dic43—42no—
354Dic43—42no—
355Dic43—42no—
356C2×#544—431no—
357C2×#540—431no—
358#3241—4316no—
359C2×#501—431no—
360C2×#499—431no—
361C2×#490D4311yescharacteristic, complemented
362C2×#486—431no—
363C2×#481—431no—
364C2×#482—431no—
365C2×#482—431no—
366C2×#480—431no—
367C2×#478—431no—
368C2×#478—431no—
369C2×#476—431no—
370C2×#474—431no—
371C2×#433—431no—
372C2×C43—82no—
373C2×C43—82no—
374C2×C43#324114yescomplemented
375C2×C43C2×#53611yescharacteristic
376C2×C43C2×#57611yescharacteristic
377C2×C43C2×#57711yescharacteristic
378D43—42no—
379#544—438no—
380#544—864no—
381#540—438no—
382#540—864no—
383C2×C4⋊Q8—431no—
384C2×C4⋊Q8—431no—
385C2×C4⋊Q8—861no—
386C2×#127C2×D4311yescharacteristic
387C2×#125—431no—
388C2×#125—431no—
389C2×#125—861no—
390C2×#125C2×D4311yescharacteristic
391C2×#123—861no—
392C2×#123—861no—
393C2×C22⋊Q8—861no—
394C2×C22⋊Q8—861no—
395C2×#121—431no—
396C2×#121—431no—
397C2×#121—861no—
398C2×#121—861no—
399C2×C4×D4—431no—
400C2×C4×D4—431no—
401C2×#117—431no—
402C2×#117—431no—
403C22×C4⋊C4—431no—
404#501—438no—
405#499—438no—
406#490C2×D4318yescomplemented
407#486—438no—
408#482—438no—
409#482—438no—
410#481—438no—
411#480—438no—
412#478—438no—
413#478—438no—
414#476—438no—
415#474—438no—
416#433—438no—
417C2×#107—431no—
418C2×#107—431no—
419C2×#107—431no—
420C2×#107—431no—
421C2×#106—431no—
422C2×#106—431no—
423C2×#106—431no—
424C2×#106—431no—
425C2×C4⋊C8—431no—
426C2×C4⋊C8—431no—
427C2×#102—431no—
428C2×#102—431no—
429C2×#102—431no—
430C2×#102—431no—
431C2×#102C2×D4311yescharacteristic
432C2×#102C2×D4311yescharacteristic
433C2×#102C2×D4311yescharacteristic
434C2×#102C2×D4311yescharacteristic
435C2×C22⋊C8—431no—
436C2×C22⋊C8—431no—
437C2×#97C2×D4311yescharacteristic
438C2×C4×C8—431no—
439C43C2×#324111yescharacteristic, complemented, Sylow
440C22×Q8—861no—
441C22×Q8—861no—
442C22×D4—21no—
443C22×D4—21no—
444C22×D4—861no—
445C22×D4—861no—
446C22×D4C22×D4311yescharacteristic
447C22×D4C22×D4311yescharacteristic
448C23×C4—431no—
449C23×C4—861no—
450C23×C4—861no—
451C23×C4—861no—
452C22×C8—431no—
453C22×C8—431no—
454C22×C8C22×D4311yescharacteristic
455C22×C8C22×D4311yescharacteristic
456C4⋊Q8—434no—
457C4⋊Q8—434no—
458C4⋊Q8—862no—
459C4⋊Q8—868no—
460C4⋊Q8—862no—
461#127—22no—
462#127C22×D4314yes—
463#125—22no—
464#125—434no—
465#125—434no—
466#125—862no—
467#125—868no—
468#125—862no—
469#125C22×D4314yes—
470#123—868no—
471#123—868no—
472C22⋊Q8—868no—
473C22⋊Q8—868no—
474#121—434no—
475#121—434no—
476#121—868no—
477#121—868no—
478#121—862no—
479#121—862no—
480C4×D4—434no—
481C4×D4—434no—
482C4×D4—862no—
483C4×D4—862no—
484#117—434no—
485#117—434no—
486#117—434no—
487#117—862no—
488C2×C4⋊C4—21no—
489C2×C4⋊C4—21no—
490C2×C4⋊C4—431no—
491C2×C4⋊C4—431no—
492C2×C4⋊C4—431no—
493C2×C4⋊C4—431no—
494C2×C4⋊C4—431no—
495C2×C4⋊C4—431no—
496C2×C4⋊C4—434no—
497C2×C4⋊C4—862no—
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⋊C4—861no—
505C2×C4⋊C4C22×D4311yescharacteristic
506C2×C4⋊C4C22×D4311yescharacteristic
507C2×C22⋊C4—431no—
508C2×C22⋊C4—431no—
509C2×C22⋊C4—861no—
510C2×C22⋊C4—861no—
511C2×C22⋊C4—861no—
512C2×C22⋊C4—861no—
513C2×C22⋊C4—861no—
514C2×C42—431no—
515C2×C42—861no—
516C2×C42C22×D4311yescharacteristic
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⋊C8—434no—
526C4⋊C8—434no—
527#102—434no—
528#102—434no—
529#102—434no—
530#102—434no—
531#102C22×D4314yes—
532#102C22×D4314yes—
533#102C22×D4314yes—
534#102C22×D4314yes—
535C22⋊C8—434no—
536C22⋊C8—434no—
537#97C22×D4314yes—
538C4×C8—434no—
539C24—21no—
540C24—21no—
541C24—431no—
542C2×Q8—864no—
543C2×Q8—864no—
544C2×Q8—3442no—
545C2×Q8—3442no—
546C2×D4—21no—
547C2×D4—21no—
548C2×D4—24no—
549C2×D4—24no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—82no—
555C2×D4—82no—
556C2×D4—864no—
557C2×D4—864no—
558C2×D4—3442no—
559C2×D4—3442no—
560C2×D4C23×D4312yes—
561C2×D4C23×D4312yes—
562C22×C4—21no—
563C22×C4—21no—
564C22×C4—431no—
565C22×C4—431no—
566C22×C4—431no—
567C22×C4—432no—
568C22×C4—432no—
569C22×C4—864no—
570C22×C4—864no—
571C22×C4—864no—
572C22×C4—862no—
573C22×C4—862no—
574C22×C4—861no—
575C22×C4—861no—
576C22×C4—861no—
577C22×C4—861no—
578C22×C4—3442no—
579C22×C4—3442no—
580C22×C4—3442no—
581C22×C4D4×D4311yescharacteristic
582C22×C4D4×D4311yescharacteristic
583C22×C4C23×D4311yescharacteristic
584C2×C8—22no—
585C2×C8—22no—
586C2×C8—432no—
587C2×C8—432no—
588C2×C8—862no—
589C2×C8—862no—
590C2×C8C23×D4312yes—
591C2×C8C23×D4312yes—
592C4⋊C4—24no—
593C4⋊C4—24no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—434no—
597C4⋊C4—434no—
598C4⋊C4—432no—
599C4⋊C4—432no—
600C4⋊C4—432no—
601C4⋊C4—432no—
602C4⋊C4—864no—
603C4⋊C4—864no—
604C4⋊C4—864no—
605C4⋊C4—864no—
606C4⋊C4—861no—
607C4⋊C4—861no—
608C4⋊C4—861no—
609C4⋊C4—861no—
610C4⋊C4—864no—
611C4⋊C4—864no—
612C4⋊C4—864no—
613C4⋊C4C23×D4312yes—
614C4⋊C4C23×D4312yes—
615C22⋊C4—434no—
616C22⋊C4—434no—
617C22⋊C4—864no—
618C22⋊C4—864no—
619C22⋊C4—864no—
620C22⋊C4—864no—
621C22⋊C4—864no—
622C42—432no—
623C42—432no—
624C42—864no—
625C42D4×D4312yes—
626C42C23×D4312yes—
627C23—22no—
628C23—22no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—432no—
636C23—862no—
637C23—862no—
638C23—862no—
639C23C2×D4×D4311yescharacteristic
640Q8—3444no—
641Q8—3444no—
642D4—22no—
643D4—22no—
644D4—22no—
645D4—22no—
646D4—42no—
647D4—42no—
648D4—84no—
649D4—84no—
650D4—3444no—
651D4—3444no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—432no—
659C2×C4—432no—
660C2×C4—432no—
661C2×C4—862no—
662C2×C4—862no—
663C2×C4—862no—
664C2×C4—864no—
665C2×C4—862no—
666C2×C4—862no—
667C2×C4—862no—
668C2×C4—862no—
669C2×C4—862no—
670C2×C4—862no—
671C2×C4—3444no—
672C2×C4—3444no—
673C2×C4—3444no—
674C2×C4—1722no—
675C2×C4—1722no—
676C2×C4—1722no—
677C2×C4—1722no—
678C2×C4C2×D4×D4312yes—
679C2×C4C2×D4×D4312yes—
680C2×C4C2×D4×D4311yescharacteristic
681C2×C4#1306337212yes—
682C2×C4#1306337212yes—
683C2×C4C24×D4311yescharacteristic
684C8—22no—
685C8—22no—
686C8—862no—
687C8—862no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—84no—
695C22—84no—
696C22—862no—
697C22—862no—
698C22—862no—
699C22—1724no—
700C22#1458346912yes—
701C22#1458370312yes—
702C22#1458370912yes—
703C22C22×D4×D4311yescharacteristic
704C4—22no—
705C4—22no—
706C4—42no—
707C4—42no—
708C4—862no—
709C4—862no—
710C4—862no—
711C4—1722no—
712C4—1722no—
713C4—1722no—
714C4—1722no—
715C4#1458346912yes—
716C4C2×#1306337211yescharacteristic
717C4C2×#1306337211yescharacteristic
718C2—82no—
719C2—82no—
720C2—1722no—
721C2#1914584314yesdirect product factor
722C2C2×#1458346911yescharacteristic
723C2C2×#1458370311yescharacteristic
724C2C2×#1458370911yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#490C2
socleC23×C43C22×D4
prime radicalC2×#14583503C2
hypercenterC2×#490D43
hypocenterC43C2×#3241
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#490

Complements

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

NH ≅ G/Ntype
1. C2×#14583529C2semidirect
3. #19145843C2direct (N × H)
4. C2×#14583308C2semidirect
5. C2×#14583298C2semidirect
6. C2×#14583245C2semidirect
7. C2×#14583216C2semidirect
8. C2×#14583222C2semidirect
9. C2×#14583221C2semidirect
10. C2×#14583211C2semidirect
11. C2×#14583201C2semidirect
12. C2×#14583197C2semidirect
13. C2×#14583187C2semidirect
14. C2×#14583177C2semidirect
15. C2×#14582961C2semidirect
16. C2×C43×#490C2semidirect
18. #14583529C22semidirect
40. #14583308C22semidirect
41. #14583298C22semidirect
42. #14583245C22semidirect
43. #14583222C22semidirect
44. #14583221C22semidirect
45. #14583216C22semidirect
46. #14583211C22semidirect
47. #14583201C22semidirect
48. #14583197C22semidirect
49. #14583187C22semidirect
50. #14583177C22semidirect
51. #14582961C22semidirect
71. C43×#490C22semidirect
361. C2×#490D43semidirect
374. C2×C43#3241semidirect
406. #490C2×D43semidirect
439. C43C2×#3241semidirect
721. C2#19145843direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145835292
C2×#145835032
#191458432
C2×#145833082
C2×#145832982
C2×#145832452
C2×#145832162
C2×#145832222
C2×#145832212
C2×#145832112
C2×#145832012
C2×#145831972
C2×#145831872
C2×#145831772
C2×#145829612
C2×C43×#4902
C2×#324143