Finite Group Databasebeta

← #11872973

Subgroups — #11872973

Order 1152.

823 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595396C211yesmaximal, characteristic, complemented
2#10595394C211yesmaximal, characteristic, complemented
3Q16×C3⋊Dic3C211yesmaximal, characteristic, complemented
4C3×#5187C211yesmaximal, characteristic, complemented
5C3×#5185C211yesmaximal, characteristic, complemented
6#10591586C211yesmaximal, characteristic
7#10591572C211yesmaximal, characteristic, complemented
8#10591572C211yesmaximal, characteristic, complemented
9#10591567C211yesmaximal, characteristic, complemented
10#10591551C211yesmaximal, characteristic, complemented
11#10591546C211yesmaximal, characteristic, complemented
12#10590762C211yesmaximal, characteristic, complemented
13#10590740C211yesmaximal, characteristic, complemented
14#10590698C211yesmaximal, characteristic, complemented
15#10590680C211yesmaximal, characteristic, complemented
16#80574—31nomaximal
17#80218—31nomaximal
18C2×C3×#239C2211yescharacteristic
19C2×C32×Q16C2211yescharacteristic
20Q8×C3⋊Dic3C2211yescharacteristic
21Q8×C3⋊Dic3C2211yescharacteristic
22C3×#947C2211yescharacteristic
23C3×#946C2211yescharacteristic
24C3×Q8×Dic3C2211yescharacteristic
25C2×C3×#215C2211yescharacteristic
26C2×C3×#215C2211yescharacteristic
27#63918C2211yescharacteristic
28#63915—21no—
29#63908C2211yescharacteristic
30#63898—21no—
31#63898C2211yescharacteristic
32#63898C2211yescharacteristic
33#63893—21no—
34Dic3×D12—21no—
35Dic3×D12C2211yescharacteristic
36#63891—21no—
37D3×C4⋊Dic3—21no—
38D3×C4⋊Dic3C2211yescharacteristic
39#63862—21no—
40#63855—21no—
41#63855C2211yescharacteristic
42C2×#3713C2211yescharacteristic
43#63662C2211yescharacteristic
44#63662C2211yescharacteristic
45#63645C2211yescharacteristic
46C8×C3⋊Dic3C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#835C2211yescharacteristic
49C3×#821C2211yescharacteristic
50C3×#821C2211yescharacteristic
51C3×(C2×D3)⋊C8C2211yescharacteristic
52C3×Dic3⋊C8C2211yescharacteristic
53#63576C2211yescharacteristic
54#63575C2211yescharacteristic
55#63575C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63563C2211yescharacteristic
58#63563C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63555C2211yescharacteristic
61#5827—31no—
62#5682—31no—
63#5643—31no—
64#5574—31no—
65C3×#464—31no—
66C3×#452—31no—
67#5238—31no—
68#5187D311yescharacteristic, complemented
69#5185D311yescharacteristic, complemented
70Dic3×Q16—31no—
71Dic3×Q16—31no—
72Dic3×Q16—61no—
73#5172—31no—
74#5165—31no—
75#5164—31no—
76#5164—31no—
77#5057—31no—
78#5044—31no—
79#5021—31no—
80#4846—31no—
81#4840—31no—
82#4817—31no—
83#4817—31no—
84#4811—31no—
85#4793—31no—
86#4774—31no—
87#4759—31no—
88#4756—31no—
89#4756—31no—
90#4736—31no—
91#4720—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C32×Q8C2311yescharacteristic
94C3×#239—22no—
95C3×#239—22no—
96C2×C3×D12—21no—
97C2×C3×D12C2311yescharacteristic
98C2×C3×D12C2311yescharacteristic
99C2×C3×C4×D3—21no—
100C2×C3×C4×D3C2311yescharacteristic
101C2×#627—21no—
102C2×#625—21no—
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3—21no—
107C32×Q16—22no—
108C2×C32×C8C2311yescharacteristic
109C4⋊(C3⋊Dic3)—21no—
110C4⋊(C3⋊Dic3)—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113C4×C3⋊Dic3—21no—
114C4×C3⋊Dic3—21no—
115C4×C3⋊Dic3C2311yescharacteristic
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C3×#215—22no—
118C3×#215—22no—
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×(C2×D3)⋊C4—21no—
122C3×C4⋊Dic3—21no—
123C3×C4⋊Dic3C2311yescharacteristic
124C3×C4⋊Dic3C2311yescharacteristic
125C3×Dic3⋊C4—21no—
126C3×C4×Dic3—21no—
127C3×C4×Dic3C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3D411yescharacteristic
133Dic3⋊Dic3D411yescharacteristic
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3D411yescharacteristic
139(C2×D3)⋊Dic3D411yescharacteristic
140#3713—22no—
141#3124—91noSylow
142C2×C3×#41—31no—
143C2×#239C2×D311yescharacteristic
144C2×C3×Q16—21no—
145C2×C3×Q16C2×D311yescharacteristic
146C2×C3×Q16C2×D311yescharacteristic
147C2×C3×SD16—31no—
148C2×C3×SD16—31no—
149C3×#124—31no—
150C3×C22⋊Q8—31no—
151C3×C4×Q8—31no—
152#947C2×D311yescharacteristic
153#946C2×D311yescharacteristic
154Q8×Dic3—31no—
155Q8×Dic3—31no—
156Q8×Dic3—31no—
157Q8×Dic3—31no—
158Q8×Dic3—61no—
159Q8×Dic3—61no—
160Q8×Dic3C2×D311yescharacteristic
161C2×#215C2×D311yescharacteristic
162C2×#215C2×D311yescharacteristic
163#938—31no—
164D4×Dic3—31no—
165D4×Dic3—31no—
166D4×Dic3—31no—
167D4×Dic3—61no—
168D4×Dic3—61no—
169C2×#213—31no—
170C2×#213—31no—
171#930—31no—
172#926—31no—
173#926—61no—
174C2×C4⋊Dic3—31no—
175C2×C4⋊Dic3—61no—
176#898—61no—
177#897—61no—
178#893—31no—
179#893—31no—
180#893—61no—
181D3×C4⋊C4—31no—
182D3×C4⋊C4—61no—
183#888—31no—
184#886—61no—
185#885—61no—
186#885—61no—
187#883—61no—
188#879—61no—
189#878—61no—
190C4×D12—31no—
191C4×D12—61no—
192#872—31no—
193#872—61no—
194#869—31no—
195C3×C4⋊C8—31no—
196C3×#103—31no—
197C3×#103—31no—
198C3×#102—31no—
199C3×#102—31no—
200C3×C22⋊C8—31no—
201#835—31no—
202#835—31no—
203#835—31no—
204#835—31no—
205#835—61no—
206#835—61no—
207#835C2×D311yescharacteristic
208#835C2×D311yescharacteristic
209#832—31no—
210#832—31no—
211#830—31no—
212#821—31no—
213#821—31no—
214#821C2×D311yescharacteristic
215#821C2×D311yescharacteristic
216(C2×D3)⋊C8—31no—
217(C2×D3)⋊C8C2×D311yescharacteristic
218#818—31no—
219#818—31no—
220#818—31no—
221#818—31no—
222#818—61no—
223#815—31no—
224#815—31no—
225Dic3⋊C8—31no—
226Dic3⋊C8C2×D311yescharacteristic
227C8×Dic3—31no—
228C8×Dic3—31no—
229C8×Dic3—61no—
230#807—31no—
231#807—31no—
232#807—31no—
233#807—31no—
234C4⋊(C3⋊C8)—31no—
235C22×C3×D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C32×Q8—21no—
239C32×Q8—21no—
240C32×Q8—21no—
241C32×Q8#4112yes—
242C2×C32×C4—21no—
243C2×C32×C4—21no—
244C2×C32×C4C2411yescharacteristic
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—21no—
247C2×C3⋊Dic3C2×D411yescharacteristic
248C2×C3⋊Dic3C2×D411yescharacteristic
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C3×D12—24no—
255C3×D12—21no—
256C3×D12—21no—
257C3×D12—21no—
258C3×D12#4112yes—
259C3×C4×D3—24no—
260C3×C4×D3—21no—
261C3×C4×D3—21no—
262#627—81no—
263#625—81no—
264D3×Dic3—81no—
265D3×Dic3—81no—
266D3×Dic3—81no—
267D3×Dic3—81no—
268C32×C8—21no—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#542—91no—
273#520—91no—
274#484—91no—
275#480—91no—
276#477—91no—
277#474—91no—
278#464—31no—
279#463—91no—
280#452—31no—
281#449—91no—
282#440—91no—
283#440—91no—
284C4×Q16—91no—
285C4×D8—91no—
286#433—91no—
287C3×#41—62no—
288C3×#41—62no—
289C2×C3×Q8—21no—
290C2×C3×Q8—21no—
291C2×C3×Q8C22×D311yescharacteristic
292C2×C3×Q8C22×D311yescharacteristic
293C2×C3×Q8C22×D311yescharacteristic
294C2×C3×Q8C22×D311yescharacteristic
295C2×C3×D4—31no—
296C2×C3×D4—31no—
297C2×C3×D4—61no—
298C22×C3×C4—31no—
299C22×C3×C4—61no—
300C2×#67—61no—
301C2×#67—61no—
302C22×Dic3—61no—
303C22×Dic3—61no—
304C22×Dic3—61no—
305C22×Dic3—61no—
306#239—22no—
307#239—22no—
308C2×D12—21no—
309C2×D12C22×D311yescharacteristic
310C2×D12C22×D311yescharacteristic
311C2×C4×D3—21no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3C22×D311yescharacteristic
317C2×Dic6—61no—
318C2×Dic6—61no—
319C3×Q16—24no—
320C3×Q16—22no—
321C3×Q16—22no—
322C3×SD16—62no—
323C3×SD16—62no—
324C2×C3×C8—21no—
325C2×C3×C8—31no—
326C2×C3×C8—31no—
327C2×C3×C8C22×D311yescharacteristic
328C2×C3×C8C22×D311yescharacteristic
329C3×C4⋊C4—31no—
330C3×C4⋊C4—31no—
331C3×C4⋊C4—61no—
332C3×C4⋊C4—61no—
333C3×C22⋊C4—61no—
334C3×C22⋊C4—61no—
335C3×C22⋊C4—61no—
336C3×C42—31no—
337C3×C42—61no—
338#217—31no—
339#217—31no—
340#217—61no—
341#217—61no—
342#217—61no—
343#217—61no—
344#215—22no—
345#215—22no—
346#213—62no—
347#213—62no—
348(C2×D3)⋊C4—21no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—21no—
351(C2×D3)⋊C4—31no—
352(C2×D3)⋊C4—31no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357C4⋊Dic3—21no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—121no—
373C4⋊Dic3—121no—
374C4⋊Dic3C22×D311yescharacteristic
375C4⋊Dic3C22×D311yescharacteristic
376Dic3⋊C4—21no—
377Dic3⋊C4—31no—
378Dic3⋊C4—31no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381C4×Dic3—21no—
382C4×Dic3—31no—
383C4×Dic3—31no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3—121no—
390C4×Dic3—121no—
391C4×Dic3C22×D311yescharacteristic
392C2×C3⋊C8—31no—
393C2×C3⋊C8—31no—
394C2×C3⋊C8—61no—
395C2×C3⋊C8C22×D311yescharacteristic
396C2×C3⋊C8C22×D311yescharacteristic
397C22×C32C22×D411yescharacteristic
398C2×C3×D3—21no—
399C2×C3×D3—22no—
400C2×C3×D3—21no—
401C2×C3×D3—21no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407C32×C4—22no—
408C32×C4—41no—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—21no—
412C3⋊Dic3—21no—
413C3⋊Dic3—41no—
414C3⋊Dic3—41no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C2×#41—31no—
421C2×Q16D3211yescharacteristic
422C2×SD16—31no—
423C2×SD16—31no—
424C2×D8—91no—
425C4⋊Q8—91no—
426#126—181no—
427#124—31no—
428#124—181no—
429#123—181no—
430C22⋊Q8—31no—
431C22⋊Q8—181no—
432#121—91no—
433C4×Q8—31no—
434C4×Q8—91no—
435C4×Q8—91no—
436C4×D4—91no—
437C4×D4—91no—
438C4×D4—91no—
439C4×D4—181no—
440C4×D4—181no—
441#117—91no—
442#117—181no—
443C2×C4⋊C4—91no—
444C2×C4⋊C4—181no—
445#107—91no—
446#107—91no—
447#107—91no—
448#107—91no—
449C4⋊C8—31no—
450C4⋊C8—91no—
451#103—31no—
452#103—31no—
453#103—91no—
454#103—91no—
455#102—31no—
456#102—31no—
457#102—91no—
458#102—91no—
459C22⋊C8—31no—
460C22⋊C8—91no—
461#97—91no—
462C4×C8—91no—
463C23×C3—31no—
464C23×C3—61no—
465C23×C3—61no—
466C22×D3—21no—
467C22×D3—21no—
468C22×D3D3×D411yescharacteristic
469C3×Q8—21no—
470C3×Q8—21no—
471C3×Q8—22no—
472C3×Q8—21no—
473C3×Q8—21no—
474C3×Q8—21no—
475C3×Q8—21no—
476C3×Q8—22no—
477C3×Q8—41no—
478C3×Q8—41no—
479C3×Q8#23712yes—
480C3×Q8#23712yes—
481C3×D4—32no—
482C3×D4—64no—
483C3×D4—61no—
484C3×D4—61no—
485C3×D4—61no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—31no—
492C2×C3×C4—31no—
493C2×C3×C4—31no—
494C2×C3×C4—41no—
495C2×C3×C4—41no—
496C2×C3×C4—64no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4C23×D311yescharacteristic
502C2×C3×C4C23×D311yescharacteristic
503#67—241no—
504#67—241no—
505C2×Dic3—21no—
506C2×Dic3—21no—
507C2×Dic3—31no—
508C2×Dic3—31no—
509C2×Dic3—31no—
510C2×Dic3—31no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—121no—
518C2×Dic3—121no—
519C2×Dic3—241no—
520C2×Dic3—241no—
521C2×Dic3—241no—
522C2×Dic3—241no—
523C2×Dic3D3×D411yescharacteristic
524C2×Dic3D3×D411yescharacteristic
525C2×Dic3D3×D411yescharacteristic
526D12—24no—
527D12—21no—
528D12—21no—
529D12—21no—
530D12#23712yes—
531C4×D3—24no—
532C4×D3—21no—
533C4×D3—21no—
534C4×D3—241no—
535C4×D3—241no—
536C4×D3—241no—
537C4×D3—241no—
538Dic6—241no—
539Dic6—241no—
540C3×C8—22no—
541C3×C8—21no—
542C3×C8—21no—
543C3×C8—61no—
544C3×C8—61no—
545C3⋊C8—21no—
546C3⋊C8—21no—
547C3⋊C8—61no—
548C3⋊C8—61no—
549C3⋊C8—121no—
550C2×C32#52511yescharacteristic
551C2×C32#57611yescharacteristic
552C2×C32#57811yescharacteristic
553C3×D3—41no—
554C3×D3—42no—
555C3×D3—81no—
556#41—62no—
557#41—62no—
558C2×Q8—181no—
559C2×Q8C2×D3211yescharacteristic
560C2×Q8C2×D3211yescharacteristic
561C2×D4—31no—
562C2×D4—31no—
563C2×D4—61no—
564C2×D4—181no—
565C22×C4—31no—
566C22×C4—61no—
567C22×C4—181no—
568C22×C4—181no—
569C22×C4—181no—
570C22×C4—181no—
571Q16—22no—
572SD16—62no—
573SD16—62no—
574D8—182no—
575C2×C8—31no—
576C2×C8—31no—
577C2×C8—91no—
578C2×C8C2×D3211yescharacteristic
579C4⋊C4—31no—
580C4⋊C4—31no—
581C4⋊C4—61no—
582C4⋊C4—61no—
583C4⋊C4—91no—
584C4⋊C4—91no—
585C4⋊C4—91no—
586C4⋊C4—91no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C4⋊C4—181no—
591C22⋊C4—61no—
592C22⋊C4—61no—
593C22⋊C4—61no—
594C22⋊C4—91no—
595C22⋊C4—91no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C42—31no—
601C42—61no—
602C42—91no—
603C42—181no—
604C42—181no—
605C22×C3—21no—
606C22×C3—61no—
607C22×C3—61no—
608C22×C3—62no—
609C22×C3—61no—
610C22×C3—121no—
611C22×C3—121no—
612C22×C3—121no—
613C22×C3—121no—
614C22×C3—121no—
615C22×C3C2×D3×D411yescharacteristic
616C22×C3C2×D3×D411yescharacteristic
617C2×D3—21no—
618C2×D3—21no—
619C2×D3—21no—
620C2×D3—22no—
621C2×D3—41no—
622C2×D3—41no—
623C2×D3—41no—
624C2×D3—41no—
625C2×D3—41no—
626C3×C4—22no—
627C3×C4—22no—
628C3×C4—21no—
629C3×C4—21no—
630C3×C4—42no—
631C3×C4—42no—
632C3×C4—41no—
633C3×C4—41no—
634C3×C4—61no—
635C3×C4—61no—
636C3×C4—61no—
637C3×C4—121no—
638C3×C4—121no—
639C3×C4C2×#23711yescharacteristic
640C3×C4C2×#23711yescharacteristic
641C3×C4C2×#23711yescharacteristic
642C3×C4D3×#4111yescharacteristic
643Dic3—21no—
644Dic3—21no—
645Dic3—21no—
646Dic3—41no—
647Dic3—41no—
648Dic3—62no—
649Dic3—61no—
650Dic3—61no—
651Dic3—61no—
652Dic3—61no—
653Dic3—121no—
654Dic3—121no—
655Dic3—121no—
656Dic3—121no—
657Dic3—121no—
658Dic3—241no—
659Dic3—241no—
660C32#312411yescharacteristic, complemented, Sylow
661C23—31no—
662C23—61no—
663C23—61no—
664Q8—21no—
665Q8—21no—
666Q8—21no—
667Q8—721no—
668Q8#380512yes—
669D4—32no—
670D4—64no—
671D4—61no—
672D4—61no—
673D4—61no—
674D4—721no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—31no—
678C2×C4—31no—
679C2×C4—31no—
680C2×C4—64no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—91no—
686C2×C4—91no—
687C2×C4—181no—
688C2×C4—181no—
689C2×C4—721no—
690C2×C4—721no—
691C2×C4—721no—
692C2×C4—721no—
693C2×C4C22×D3211yescharacteristic
694C8—21no—
695C8—61no—
696C8—61no—
697C8—181no—
698C2×C3—21no—
699C2×C3—21no—
700C2×C3—21no—
701C2×C3—121no—
702C2×C3—122no—
703C2×C3—241no—
704C2×C3#558611yescharacteristic
705C2×C3#560611yescharacteristic
706C2×C3#576911yescharacteristic
707C2×C3#576911yescharacteristic
708C2×C3#577911yescharacteristic
709C2×C3#577911yescharacteristic
710D3—41no—
711D3—42no—
712D3—81no—
713C22—62no—
714C22—61no—
715C22—61no—
716C22—61no—
717C22—121no—
718C22—121no—
719C22—121no—
720C22—121no—
721C22—121no—
722C22D32×D411yescharacteristic
723C4—22no—
724C4—41no—
725C4—61no—
726C4—61no—
727C4—61no—
728C4—121no—
729C4—121no—
730C4—181no—
731C4—181no—
732C4—361no—
733C4—361no—
734C4D3×#23711yescharacteristic
735C4C2×#380511yescharacteristic
736C3—21no—
737C3#8021811yescharacteristic, complemented
738C3#8057411yescharacteristic, complemented
739C2—121no—
740C2—122no—
741C2—241no—
742C2#1059476911yescharacteristic
743C2#1059477111yescharacteristic
744C2#1059513011yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×Q16C22
socleC22×C32C22×D4
prime radical#10591586C2
hypercenterC2×Q16D32
hypocenterC32#3124
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×Q16

Complements

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

NH ≅ G/Ntype
1. #10595396C2semidirect
2. #10595394C2semidirect
3. Q16×C3⋊Dic3C2semidirect
4. C3×#5187C2semidirect
5. C3×#5185C2semidirect
7. #10591572C2semidirect
8. #10591572C2semidirect
9. #10591567C2semidirect
10. #10591551C2semidirect
11. #10591546C2semidirect
12. #10590762C2semidirect
13. #10590740C2semidirect
14. #10590698C2semidirect
15. #10590680C2semidirect
68. #5187D3semidirect
69. #5185D3semidirect
660. C32#3124semidirect
737. C3#80218semidirect
738. C3#80574semidirect

Maximal subgroups

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

subgroupindex
#105953962
#105953942
Q16×C3⋊Dic32
C3×#51872
C3×#51852
#105915862
#105915722
#105915672
#105915512
#105915462
#105907622
#105907402
#105906982
#105906802
#805743
#802183