Finite Group Databasebeta

← #11870613

Subgroups — #11870613

Order 1152.

853 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595377C211yesmaximal, characteristic, complemented
2Dic3×#237C211yesmaximal, characteristic, complemented
3SD16×C3⋊Dic3C211yesmaximal, characteristic, complemented
4C3×#5173C211yesmaximal, characteristic, complemented
5C3×#5165C211yesmaximal, characteristic, complemented
6#10591581C211yesmaximal, characteristic, complemented
7#10591578C211yesmaximal, characteristic, complemented
8#10591558C211yesmaximal, characteristic, complemented
9#10591450C211yesmaximal, characteristic
10#10591435C211yesmaximal, characteristic, complemented
11#10591411C211yesmaximal, characteristic, complemented
12#10590837C211yesmaximal, characteristic, complemented
13#10590815C211yesmaximal, characteristic, complemented
14#10590742C211yesmaximal, characteristic, complemented
15#10590656C211yesmaximal, characteristic, complemented
16#80504—31nomaximal
17#80212—31nomaximal
18C2×C3×#237C2211yescharacteristic
19C2×C32×SD16C2211yescharacteristic
20Q8×C3⋊Dic3C2211yescharacteristic
21D4×C3⋊Dic3C2211yescharacteristic
22C3×#947C2211yescharacteristic
23C3×#946C2211yescharacteristic
24C2×C3×#216C2211yescharacteristic
25C3×D4×Dic3C2211yescharacteristic
26C2×C3×#213C2211yescharacteristic
27#67⋊Dic3—21no—
28Dic3×#67—21no—
29#63955—21no—
30C2×Dic32—21no—
31#63908C2211yescharacteristic
32#63902—21no—
33#63898C2211yescharacteristic
34#63891—21no—
35#63878—21no—
36C4×D3×Dic3C2211yescharacteristic
37#63869C2211yescharacteristic
38#63861—21no—
39#63843C2211yescharacteristic
40Dic3×Dic6C2211yescharacteristic
41#63841C2211yescharacteristic
42C2×#3715C2211yescharacteristic
43#63662C2211yescharacteristic
44#63659C2211yescharacteristic
45#63644C2211yescharacteristic
46C8×C3⋊Dic3C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#832C2211yescharacteristic
49C3×#821C2211yescharacteristic
50C3×(C2×D3)⋊C8C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×Dic3⋊C8C2211yescharacteristic
53#63575C2211yescharacteristic
54#63575C2211yescharacteristic
55#63574C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63566C2211yescharacteristic
58#63563C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63553C2211yescharacteristic
61Dic3×#41—31no—
62#5680—31no—
63#5624—31no—
64C4×#237—31no—
65C3×#463—31no—
66C3×#452—31no—
67#5238—31no—
68#5185—31no—
69Dic3×Q16—31no—
70#5173D311yescharacteristic, complemented
71#5165D311yescharacteristic, complemented
72Dic3×SD16—31no—
73Dic3×SD16—31no—
74Dic3×SD16—61no—
75#5158—31no—
76Dic3×D8—31no—
77#5054—31no—
78#5045—31no—
79#5009—31no—
80#4833—31no—
81#4829—31no—
82#4814—31no—
83#4799—31no—
84#4790—31no—
85#4788—31no—
86#4779—31no—
87#4766—31no—
88#4758—31no—
89#4756—31no—
90#4737—31no—
91#4718—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C32×D4C2311yescharacteristic
94C22×C3⋊Dic3—21no—
95C2×C3×#67—21no—
96C22×C3×Dic3—21no—
97C22×C3×Dic3—21no—
98C3×#237—22no—
99C3×#237—22no—
100C2×C3×D12C2311yescharacteristic
101C2×C3×C4×D3C2311yescharacteristic
102C2×C3×Dic6C2311yescharacteristic
103C2×#625—21no—
104C2×D3×Dic3—21no—
105C2×D3×Dic3D411yescharacteristic
106C2×D3×Dic3D411yescharacteristic
107C32×SD16—22no—
108C2×C32×C8C2311yescharacteristic
109#3757—21no—
110C4⋊(C3⋊Dic3)—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113C4×C3⋊Dic3—21no—
114C4×C3⋊Dic3C2311yescharacteristic
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116C3×#217—21no—
117C3×#216—22no—
118C3×#213—22no—
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×(C2×D3)⋊C4—21no—
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4—21no—
125C3×C4×Dic3C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128#3724—21no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132(C2×D3)⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135Dic32—21no—
136Dic32—21no—
137Dic32—21no—
138Dic32D411yescharacteristic
139Dic32D411yescharacteristic
140#3715—22no—
141#3102—91noSylow
142C2×C3×#41—31no—
143C2×#237C2×D311yescharacteristic
144C2×C3×Q16—31no—
145C2×C3×SD16—21no—
146C2×C3×SD16C2×D311yescharacteristic
147C2×C3×SD16C2×D311yescharacteristic
148C2×C3×D8—31no—
149C3×#124—31no—
150C3×C22⋊Q8—31no—
151C3×C4×D4—31no—
152#947C2×D311yescharacteristic
153#946C2×D311yescharacteristic
154Q8×Dic3—31no—
155Q8×Dic3—31no—
156Q8×Dic3—31no—
157Q8×Dic3—31no—
158Q8×Dic3—61no—
159C2×#216C2×D311yescharacteristic
160C2×#215—31no—
161#938—31no—
162D4×Dic3—31no—
163D4×Dic3—31no—
164D4×Dic3—31no—
165D4×Dic3—61no—
166D4×Dic3—61no—
167D4×Dic3—61no—
168D4×Dic3C2×D311yescharacteristic
169C2×#214—31no—
170C2×#213C2×D311yescharacteristic
171#930—31no—
172C4×#67—61no—
173#926—31no—
174#926—61no—
175C2×C4×Dic3—31no—
176C2×C4×Dic3—61no—
177C2×C4×Dic3—61no—
178#898—61no—
179#893—31no—
180#892—31no—
181#892—61no—
182#890—31no—
183#887—31no—
184#886—61no—
185#883—61no—
186#67⋊C4—61no—
187#67⋊C4—61no—
188#67⋊C4—61no—
189#879—61no—
190#877—61no—
191#877—61no—
192C42×D3—31no—
193#870—31no—
194C4×Dic6—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—61no—
205#835C2×D311yescharacteristic
206#832—31no—
207#832—31no—
208#832—31no—
209#832—61no—
210#832C2×D311yescharacteristic
211#830—31no—
212#821—31no—
213#821C2×D311yescharacteristic
214(C2×D3)⋊C8—31no—
215(C2×D3)⋊C8C2×D311yescharacteristic
216#818—31no—
217#818—31no—
218#817—31no—
219#817—31no—
220#817—61no—
221#816—31no—
222#816C2×D311yescharacteristic
223Dic3⋊C8—31no—
224Dic3⋊C8C2×D311yescharacteristic
225C8×Dic3—31no—
226C8×Dic3—31no—
227C8×Dic3—31no—
228C8×Dic3—31no—
229C8×Dic3—61no—
230#808—31no—
231#808—31no—
232#807—31no—
233#807—31no—
234C4⋊(C3⋊C8)—31no—
235C23×C32—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C32×Q8—21no—
239C32×Q8—21no—
240C32×D4—21no—
241C32×D4#4112yes—
242C2×C32×C4—21no—
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—42no—
247C2×C3⋊Dic3C2×D411yescharacteristic
248C2×C3⋊Dic3C2×D411yescharacteristic
249C3×#67—24no—
250C2×C3×Dic3—24no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—42no—
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C3×D12—21no—
259C3×D12—21no—
260C3×C4×D3—21no—
261C3×C4×D3—21no—
262C3×Dic6—21no—
263C3×Dic6#4112yes—
264#625—42no—
265D3×Dic3—22no—
266D3×Dic3—41no—
267D3×Dic3—42no—
268C32×C8—21no—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#529—91no—
273C4×#41—91no—
274#485—91no—
275#482—91no—
276#479—91no—
277#478—91no—
278#464—91no—
279#463—31no—
280#452—31no—
281#449—91no—
282C4×Q16—91no—
283C4×SD16—91no—
284C4×SD16—91no—
285C4×D8—91no—
286#431—91no—
287C3×#41—62no—
288C3×#41—62no—
289C2×C3×Q8—21no—
290C2×C3×Q8—31no—
291C2×C3×Q8C22×D311yescharacteristic
292C2×C3×Q8C22×D311yescharacteristic
293C2×C3×D4—21no—
294C2×C3×D4—31no—
295C2×C3×D4—61no—
296C2×C3×D4C22×D311yescharacteristic
297C2×C3×D4C22×D311yescharacteristic
298C22×C3×C4—31no—
299C22×C3×C4—61no—
300C22×C3×C4—61no—
301C2×#67—21no—
302C2×#67—61no—
303C2×#67—61no—
304C22×Dic3—21no—
305C22×Dic3—21no—
306C22×Dic3—31no—
307C22×Dic3—31no—
308C22×Dic3—61no—
309C22×Dic3—61no—
310C22×Dic3—61no—
311C22×Dic3—121no—
312#237—22no—
313#237—22no—
314C2×D12C22×D311yescharacteristic
315C2×C4×D3—31no—
316C2×C4×D3—31no—
317C2×C4×D3—61no—
318C2×C4×D3C22×D311yescharacteristic
319C2×Dic6C22×D311yescharacteristic
320C3×Q16—62no—
321C3×SD16—24no—
322C3×SD16—22no—
323C3×SD16—22no—
324C3×D8—62no—
325C2×C3×C8—21no—
326C2×C3×C8—31no—
327C2×C3×C8—31no—
328C2×C3×C8C22×D311yescharacteristic
329C2×C3×C8C22×D311yescharacteristic
330C3×C4⋊C4—31no—
331C3×C4⋊C4—31no—
332C3×C4⋊C4—61no—
333C3×C22⋊C4—61no—
334C3×C22⋊C4—61no—
335C3×C22⋊C4—61no—
336C3×C22⋊C4—61no—
337C3×C42—31no—
338#217—21no—
339#217—61no—
340#217—61no—
341#217—61no—
342#217—61no—
343#217—61no—
344#217—121no—
345#216—22no—
346#215—62no—
347#214—62no—
348#213—22no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—21no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355C4⋊Dic3—31no—
356C4⋊Dic3—31no—
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—61no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—121no—
367C4⋊Dic3C22×D311yescharacteristic
368C4⋊Dic3C22×D311yescharacteristic
369Dic3⋊C4—21no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375C4×Dic3—31no—
376C4×Dic3—31no—
377C4×Dic3—31no—
378C4×Dic3—31no—
379C4×Dic3—31no—
380C4×Dic3—31no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3—61no—
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×C32—22no—
398C22×C32—41no—
399C22×C32—41no—
400C22×C32C22×D411yescharacteristic
401C2×C3×D3—21no—
402C2×C3×D3—21no—
403C2×C3×D3—21no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407C32×C4—41no—
408C32×C4C2×#4111yescharacteristic
409C32×C4C2×#4111yescharacteristic
410C3⋊Dic3—21no—
411C3⋊Dic3—41no—
412C3⋊Dic3—41no—
413C3⋊Dic3#13512yes—
414C3×Dic3—22no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C2×#41—31no—
421C2×Q16—31no—
422C2×SD16—91no—
423C2×SD16D3211yescharacteristic
424C2×D8—31no—
425#126—181no—
426#125—91no—
427#124—31no—
428#123—181no—
429C22⋊Q8—31no—
430#121—91no—
431C4×Q8—91no—
432C4×Q8—91no—
433C4×Q8—91no—
434C4×D4—31no—
435C4×D4—91no—
436C4×D4—91no—
437C4×D4—181no—
438C4×D4—181no—
439C4×D4—181no—
440#117—91no—
441#117—181no—
442#117—181no—
443C2×C42—91no—
444C2×C42—181no—
445#107—91no—
446#107—91no—
447#106—91no—
448#106—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—
461C4×C8—91no—
462C4×C8—91no—
463C23×C3—21no—
464C23×C3—21no—
465C23×C3—31no—
466C23×C3—41no—
467C23×C3—61no—
468C22×D3—21no—
469C22×D3D3×D411yescharacteristic
470C3×Q8—22no—
471C3×Q8—21no—
472C3×Q8—21no—
473C3×Q8—21no—
474C3×Q8—21no—
475C3×Q8—32no—
476C3×Q8—41no—
477C3×Q8—61no—
478C3×D4—21no—
479C3×D4—21no—
480C3×D4—22no—
481C3×D4—41no—
482C3×D4—64no—
483C3×D4—61no—
484C3×D4—61no—
485C3×D4#23712yes—
486C3×D4#23712yes—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—31no—
491C2×C3×C4—31no—
492C2×C3×C4—31no—
493C2×C3×C4—41no—
494C2×C3×C4—64no—
495C2×C3×C4—61no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—122no—
501C2×C3×C4C23×D311yescharacteristic
502C2×C3×C4C23×D311yescharacteristic
503#67—24no—
504#67—122no—
505#67—122no—
506C2×Dic3—24no—
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—21no—
510C2×Dic3—31no—
511C2×Dic3—31no—
512C2×Dic3—31no—
513C2×Dic3—31no—
514C2×Dic3—42no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—62no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—121no—
523C2×Dic3—121no—
524C2×Dic3—121no—
525C2×Dic3—122no—
526C2×Dic3—122no—
527C2×Dic3—122no—
528C2×Dic3—242no—
529C2×Dic3D3×D411yescharacteristic
530C2×Dic3D3×D411yescharacteristic
531C2×Dic3D3×D411yescharacteristic
532D12—21no—
533D12—21no—
534C4×D3—21no—
535C4×D3—21no—
536C4×D3—62no—
537C4×D3—122no—
538C4×D3—121no—
539Dic6—21no—
540Dic6#23712yes—
541C3×C8—22no—
542C3×C8—21no—
543C3×C8—21no—
544C3×C8—61no—
545C3×C8—61no—
546C3⋊C8—21no—
547C3⋊C8—21no—
548C3⋊C8—61no—
549C3⋊C8—61no—
550C3⋊C8—121no—
551C2×C32—42no—
552C2×C32#52511yescharacteristic
553C2×C32C2×#13511yescharacteristic
554C2×C32#57511yescharacteristic
555C3×D3—41no—
556C3×D3—81no—
557#41—62no—
558#41—62no—
559C2×Q8—31no—
560C2×Q8C2×D3211yescharacteristic
561C2×D4—31no—
562C2×D4—61no—
563C2×D4—181no—
564C2×D4C2×D3211yescharacteristic
565C22×C4—31no—
566C22×C4—61no—
567C22×C4—61no—
568C22×C4—91no—
569C22×C4—91no—
570C22×C4—181no—
571C22×C4—181no—
572Q16—62no—
573SD16—22no—
574SD16—182no—
575D8—62no—
576C2×C8—31no—
577C2×C8—31no—
578C2×C8—91no—
579C2×C8C2×D3211yescharacteristic
580C4⋊C4—31no—
581C4⋊C4—31no—
582C4⋊C4—61no—
583C4⋊C4—91no—
584C4⋊C4—91no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C22⋊C4—61no—
591C22⋊C4—61no—
592C22⋊C4—61no—
593C22⋊C4—61no—
594C22⋊C4—181no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C42—31no—
599C42—91no—
600C42—91no—
601C42—91no—
602C42—181no—
603C42—181no—
604C42—181no—
605C42—181no—
606C22×C3—22no—
607C22×C3—22no—
608C22×C3—21no—
609C22×C3—42no—
610C22×C3—41no—
611C22×C3—41no—
612C22×C3—41no—
613C22×C3—41no—
614C22×C3—61no—
615C22×C3—61no—
616C22×C3—61no—
617C22×C3—81no—
618C22×C3—81no—
619C22×C3—121no—
620C22×C3—121no—
621C22×C3—121no—
622C22×C3C2×D3×D411yescharacteristic
623C22×C3C2×D3×D411yescharacteristic
624C2×D3—21no—
625C2×D3—21no—
626C2×D3—21no—
627C2×D3—41no—
628C2×D3—41no—
629C2×D3—41no—
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—42no—
633C3×C4—41no—
634C3×C4—41no—
635C3×C4—61no—
636C3×C4—61no—
637C3×C4—61no—
638C3×C4—62no—
639C3×C4—121no—
640C3×C4—121no—
641C3×C4C2×#23711yescharacteristic
642C3×C4C2×#23711yescharacteristic
643C3×C4C2×#23711yescharacteristic
644C3×C4D3×#4111yescharacteristic
645Dic3—21no—
646Dic3—21no—
647Dic3—22no—
648Dic3—21no—
649Dic3—32no—
650Dic3—32no—
651Dic3—41no—
652Dic3—41no—
653Dic3—62no—
654Dic3—61no—
655Dic3—61no—
656Dic3—121no—
657Dic3—121no—
658Dic3—121no—
659Dic3—121no—
660Dic3—121no—
661Dic3—241no—
662Dic3—241no—
663C32#310211yescharacteristic, complemented, Sylow
664C23—21no—
665C23—31no—
666C23—61no—
667Q8—21no—
668Q8—21no—
669Q8—32no—
670Q8—61no—
671D4—21no—
672D4—64no—
673D4—61no—
674D4—61no—
675D4—362no—
676D4#380512yes—
677C2×C4—21no—
678C2×C4—31no—
679C2×C4—31no—
680C2×C4—31no—
681C2×C4—64no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—91no—
688C2×C4—91no—
689C2×C4—122no—
690C2×C4—182no—
691C2×C4—181no—
692C2×C4—181no—
693C2×C4—361no—
694C2×C4—362no—
695C2×C4—362no—
696C2×C4C22×D3211yescharacteristic
697C8—21no—
698C8—61no—
699C8—61no—
700C8—181no—
701C2×C3—21no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—42no—
705C2×C3—42no—
706C2×C3—82no—
707C2×C3—121no—
708C2×C3—241no—
709C2×C3#558611yescharacteristic
710C2×C3#560611yescharacteristic
711C2×C3D3×#13511yescharacteristic
712C2×C3D3×#13511yescharacteristic
713C2×C3#577311yescharacteristic
714C2×C3#577711yescharacteristic
715D3—41no—
716D3—81no—
717C22—22no—
718C22—41no—
719C22—41no—
720C22—61no—
721C22—61no—
722C22—61no—
723C22—121no—
724C22—121no—
725C22—121no—
726C22D32×D411yescharacteristic
727C4—41no—
728C4—61no—
729C4—62no—
730C4—61no—
731C4—61no—
732C4—92no—
733C4—121no—
734C4—121no—
735C4—181no—
736C4—361no—
737C4—361no—
738C4D3×#23711yescharacteristic
739C4C2×#380511yescharacteristic
740C3—21no—
741C3#8021211yescharacteristic, complemented
742C3#8050411yescharacteristic, complemented
743C2—42no—
744C2—121no—
745C2—241no—
746C2#1059474411yescharacteristic
747C2#1059474711yescharacteristic
748C2#1059513011yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×SD16C22
socleC22×C32C22×D4
prime radical#10591450C2
hypercenterC2×SD16D32
hypocenterC32#3102
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×SD16

Complements

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

NH ≅ G/Ntype
1. #10595377C2semidirect
2. Dic3×#237C2semidirect
3. SD16×C3⋊Dic3C2semidirect
4. C3×#5173C2semidirect
5. C3×#5165C2semidirect
6. #10591581C2semidirect
7. #10591578C2semidirect
8. #10591558C2semidirect
10. #10591435C2semidirect
11. #10591411C2semidirect
12. #10590837C2semidirect
13. #10590815C2semidirect
14. #10590742C2semidirect
15. #10590656C2semidirect
70. #5173D3semidirect
71. #5165D3semidirect
663. C32#3102semidirect
741. C3#80212semidirect
742. C3#80504semidirect

Maximal subgroups

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

subgroupindex
#105953772
Dic3×#2372
SD16×C3⋊Dic32
C3×#51732
C3×#51652
#105915812
#105915782
#105915582
#105914502
#105914352
#105914112
#105908372
#105908152
#105907422
#105906562
#805043
#802123