Finite Group Databasebeta

← #11872955

Subgroups — #11872955

Order 1152.

835 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593890C211yesmaximal, characteristic, complemented
2#10593878C211yesmaximal, characteristic, complemented
3C4×#3745C211yesmaximal, characteristic, complemented
4C3×C4×Dic12C211yesmaximal, characteristic, complemented
5C3×#4690C211yesmaximal, characteristic, complemented
6#10590967C211yesmaximal, characteristic
7#10590966C211yesmaximal, characteristic, complemented
8#10590804C211yesmaximal, characteristic, complemented
9#10590801C211yesmaximal, characteristic, complemented
10#10590770C211yesmaximal, characteristic, complemented
11#10590764C211yesmaximal, characteristic, complemented
12#10590682C211yesmaximal, characteristic, complemented
13#10590679C211yesmaximal, characteristic, complemented
14#10590362C211yesmaximal, characteristic, complemented
15#10590362C211yesmaximal, characteristic, complemented
16#79749—31nomaximal
17#79388—31nomaximal
18C2×#3799C2211yescharacteristic
19C2×#3745C2211yescharacteristic
20C4×C4⋊(C3⋊D3)C2211yescharacteristic
21C4×C4⋊(C3⋊D3)C2211yescharacteristic
22C2×C3×Dic12C2211yescharacteristic
23C3×#872C2211yescharacteristic
24C3×C4×Dic6C2211yescharacteristic
25C3×C4×Dic6C2211yescharacteristic
26#63918C2211yescharacteristic
27#63909C2211yescharacteristic
28#63894C2211yescharacteristic
29D3×C4⋊Dic3C2211yescharacteristic
30#63883—21no—
31#63881—21no—
32#63880—21no—
33#63868—21no—
34#63865—21no—
35#63864C2211yescharacteristic
36#63856C2211yescharacteristic
37#63853—21no—
38#63852—21no—
39Dic3×Dic6C2211yescharacteristic
40#63836—21no—
41C2×#3717C2211yescharacteristic
42C2×#3717C2211yescharacteristic
43C32×C4×C8C2211yescharacteristic
44#63648C2211yescharacteristic
45#63648C2211yescharacteristic
46#63645C2211yescharacteristic
47C3×(C2×D3)⋊C8C2211yescharacteristic
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×#818C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×Dic3⋊C8C2211yescharacteristic
53C3×Dic3⋊C8C2211yescharacteristic
54C3×#803C2211yescharacteristic
55#63575C2211yescharacteristic
56#63575C2211yescharacteristic
57#63566C2211yescharacteristic
58#63566C2211yescharacteristic
59#63564C2211yescharacteristic
60#63564C2211yescharacteristic
61#5582—31no—
62#5574—31no—
63#5534—31no—
64#5523—31no—
65C3×C4×Q16—31no—
66C3×#433—31no—
67#5187—31no—
68#5185—31no—
69#5026—31no—
70#5026—31no—
71#4890—31no—
72#4882—31no—
73#4850—31no—
74#4846—31no—
75#4845—31no—
76#4844—31no—
77#4819—31no—
78#4811—31no—
79#4810—31no—
80#4793—31no—
81#4736—31no—
82#4734—31no—
83#4733—31no—
84#4722—31no—
85#4710—31no—
86#4710—31no—
87C4×Dic12D311yescharacteristic, complemented
88C4×D24—31no—
89C4×D24—31no—
90C4×D24—61no—
91#4690D311yescharacteristic, complemented
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3—21no—
95C2×C4×C3⋊D3—21no—
96C2×C3×C4×D3C2311yescharacteristic
97C2×C3×Dic6C2311yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×#627—21no—
100C2×#626—21no—
101C2×#626—21no—
102C2×#624—21no—
103C2×#624—21no—
104C2×D3×Dic3—21no—
105#3799—22no—
106#3799—22no—
107C2×C32×C8C2311yescharacteristic
108C2×C32×C8C2311yescharacteristic
109C32×C42C2311yescharacteristic
110#3752—21no—
111#3752—21no—
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114#3745—22no—
115C3×(C2×D3)⋊C4D411yescharacteristic
116C3×(C2×D3)⋊C4D411yescharacteristic
117C3×C4⋊Dic3C2311yescharacteristic
118C3×C4⋊Dic3C2311yescharacteristic
119C3×Dic3⋊C4—21no—
120C3×Dic3⋊C4—21no—
121C3×Dic3⋊C4D411yescharacteristic
122C3×Dic3⋊C4D411yescharacteristic
123C3×C4×Dic3—21no—
124C3×C4×Dic3—21no—
125C3×C4×Dic3C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C3×Dic12—22no—
129#3724—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133#3722—21no—
134#3722—21no—
135#3722—21no—
136#3722—21no—
137(C2×D3)⋊Dic3—21no—
138Dic32—21no—
139#3717—22no—
140#3717—22no—
141#3124—91noSylow
142C2×#239—31no—
143C2×#235—31no—
144C2×C3×Q16—31no—
145C3×C4×Q8—31no—
146C3×C4×Q8—31no—
147C3×#117—31no—
148#947—31no—
149#946—31no—
150Q8×Dic3—31no—
151C2×#215—31no—
152C2×#215—31no—
153#930—31no—
154C2×C4⋊Dic3—31no—
155#924—31no—
156C2×Dic12C2×D311yescharacteristic
157C2×D24—31no—
158C2×D24—31no—
159C2×D24—61no—
160C2×#204—31no—
161C2×#204—31no—
162#898—61no—
163#896—61no—
164#896—61no—
165#895—31no—
166#894—61no—
167#893—31no—
168#893—61no—
169#892—61no—
170D3×C4⋊C4—31no—
171D3×C4⋊C4—61no—
172D3×C4⋊C4—61no—
173#888—31no—
174#885—61no—
175#883—61no—
176#67⋊C4—61no—
177#67⋊C4—61no—
178#876—61no—
179#875—31no—
180#875—61no—
181C4×D12—31no—
182C4×D12—31no—
183C4×D12—31no—
184C4×D12—31no—
185C4×D12—31no—
186C4×D12—61no—
187C4×D12—61no—
188C4×D12—61no—
189#872—61no—
190#872C2×D311yescharacteristic
191#869—31no—
192C4×Dic6—31no—
193C4×Dic6C2×D311yescharacteristic
194C4×Dic6C2×D311yescharacteristic
195C3×#107—31no—
196C3×C4⋊C8—31no—
197C3×C4⋊C8—31no—
198C3×#103—31no—
199C3×#103—31no—
200C3×C22⋊C8—31no—
201C3×C22⋊C8—31no—
202C3×#97—31no—
203C3×C4×C8—21no—
204C3×C4×C8C2×D311yescharacteristic
205C3×C4×C8C2×D311yescharacteristic
206#835—31no—
207#835—31no—
208#821—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821—31no—
213#821—31no—
214#821—61no—
215#821—61no—
216(C2×D3)⋊C8C2×D311yescharacteristic
217(C2×D3)⋊C8C2×D311yescharacteristic
218#818—31no—
219#818—31no—
220#818—31no—
221#818—31no—
222#818—61no—
223#818C2×D311yescharacteristic
224#816—31no—
225#816—31no—
226#816C2×D311yescharacteristic
227#816C2×D311yescharacteristic
228Dic3⋊C8C2×D311yescharacteristic
229Dic3⋊C8C2×D311yescharacteristic
230#809—31no—
231#809—31no—
232#807—31no—
233#807—31no—
234#803C2×D311yescharacteristic
235C22×C3⋊D3—21no—
236C22×C3⋊D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C2×C32×C4C2×D411yescharacteristic
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2411yescharacteristic
241C2×C3⋊Dic3—21no—
242C2×C3⋊Dic3—21no—
243C4⋊(C3⋊D3)—21no—
244C4⋊(C3⋊D3)—21no—
245C4⋊(C3⋊D3)—21no—
246C4⋊(C3⋊D3)#4112yes—
247C4×C3⋊D3—81no—
248C4×C3⋊D3—81no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C3×C4×D3—21no—
257C3×C4×D3—21no—
258C3×Dic6—21no—
259C3×Dic6—21no—
260C3×Dic6—21no—
261C3×Dic6#4112yes—
262#627—81no—
263#626—24no—
264#626—81no—
265#624—24no—
266#624—81no—
267D3×Dic3—81no—
268C32×C8—21no—
269C32×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—91no—
279#463—91no—
280#452—91no—
281#449—91no—
282#440—91no—
283#440—91no—
284C4×Q16—31no—
285C4×D8—91no—
286#433—31no—
287C2×C3×Q8—31no—
288C2×C3×Q8—31no—
289C22×C3×C4—31no—
290C2×#67—61no—
291C2×#67—61no—
292C22×Dic3—61no—
293#239—62no—
294#239—62no—
295#235—62no—
296#235—62no—
297C2×D12—31no—
298C2×D12—31no—
299C2×D12—31no—
300C2×D12—31no—
301C2×D12—61no—
302C2×D12—61no—
303C2×D12—61no—
304C2×D12—61no—
305C2×C4×D3—61no—
306C2×C4×D3—61no—
307C2×C4×D3—61no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3—121no—
315C2×C4×D3—121no—
316C2×C4×D3C22×D311yescharacteristic
317C2×Dic6—61no—
318C2×Dic6—61no—
319C2×Dic6C22×D311yescharacteristic
320C2×Dic6C22×D311yescharacteristic
321C3×Q16—62no—
322C2×C3×C8—21no—
323C2×C3×C8—21no—
324C2×C3×C8—31no—
325C2×C3×C8—31no—
326C2×C3×C8C22×D311yescharacteristic
327C2×C3×C8C22×D311yescharacteristic
328C2×C3×C8C22×D311yescharacteristic
329C2×C3×C8C22×D311yescharacteristic
330C3×C4⋊C4—31no—
331C3×C4⋊C4—31no—
332C3×C4⋊C4—31no—
333C3×C4⋊C4—31no—
334C3×C4⋊C4—61no—
335C3×C4⋊C4—61no—
336C3×C22⋊C4—31no—
337C3×C22⋊C4—31no—
338C3×C42—21no—
339C3×C42—31no—
340C3×C42—61no—
341C3×C42—61no—
342C3×C42C22×D311yescharacteristic
343C3×C42C22×D311yescharacteristic
344#217—61no—
345#215—62no—
346#215—62no—
347(C2×D3)⋊C4—61no—
348(C2×D3)⋊C4—61no—
349(C2×D3)⋊C4—61no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—121no—
361(C2×D3)⋊C4—121no—
362(C2×D3)⋊C4D1211yescharacteristic
363(C2×D3)⋊C4D1211yescharacteristic
364C4⋊Dic3—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—31no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3C22×D311yescharacteristic
374C4⋊Dic3C22×D311yescharacteristic
375Dic3⋊C4—21no—
376Dic3⋊C4—21no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4D1211yescharacteristic
383Dic3⋊C4D1211yescharacteristic
384C4×Dic3—21no—
385C4×Dic3—21no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3C22×D311yescharacteristic
389C2×C3⋊C8C22×D311yescharacteristic
390C2×C3⋊C8C22×D311yescharacteristic
391Dic12—22no—
392D24—62no—
393D24—62no—
394D24—64no—
395#204—62no—
396#204—62no—
397C22×C32C22×D411yescharacteristic
398C2×C3⋊D3—22no—
399C2×C3⋊D3—41no—
400C2×C3⋊D3—41no—
401C2×C3⋊D3—41no—
402C2×C3⋊D3—41no—
403C2×C3⋊D3—41no—
404C2×C3×D3—21no—
405C2×C3×D3—21no—
406C2×C3×D3—21no—
407C32×C4—21no—
408C32×C4—21no—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—41no—
412C3⋊Dic3—41no—
413C3×Dic3—21no—
414C3×Dic3—22no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—41no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C2×#41—91no—
421C2×Q16—31no—
422C2×SD16—91no—
423C2×SD16—91no—
424C2×D8—91no—
425C4⋊Q8—91no—
426#126—181no—
427#124—91no—
428#124—181no—
429#123—181no—
430C22⋊Q8—91no—
431C22⋊Q8—181no—
432#121—91no—
433C4×Q8—31no—
434C4×Q8—31no—
435C4×Q8—91no—
436C4×D4—91no—
437C4×D4—91no—
438C4×D4—91no—
439C4×D4—181no—
440C4×D4—181no—
441#117—31no—
442#117—181no—
443C2×C4⋊C4—91no—
444C2×C4⋊C4—181no—
445#107—31no—
446#107—91no—
447#107—91no—
448#107—91no—
449C4⋊C8—31no—
450C4⋊C8—31no—
451#103—31no—
452#103—31no—
453#103—91no—
454#103—91no—
455#102—91no—
456#102—91no—
457#102—91no—
458#102—91no—
459C22⋊C8—31no—
460C22⋊C8—31no—
461#97—31no—
462C4×C8D3211yescharacteristic
463C23×C3—31no—
464C22×D3—61no—
465C22×D3—61no—
466C22×D3—61no—
467C22×D3—61no—
468C22×D3—121no—
469C22×D3—121no—
470C22×D3C2×D1211yescharacteristic
471C3×Q8—32no—
472C3×Q8—61no—
473C3×Q8—61no—
474C3×Q8—61no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—31no—
479C2×C3×C4—31no—
480C2×C3×C4—31no—
481C2×C3×C4—61no—
482C2×C3×C4—61no—
483C2×C3×C4—61no—
484C2×C3×C4—61no—
485C2×C3×C4—61no—
486C2×C3×C4—61no—
487C2×C3×C4C2×D1211yescharacteristic
488C2×C3×C4C2×D1211yescharacteristic
489C2×C3×C4D3×D411yescharacteristic
490C2×C3×C4D3×D411yescharacteristic
491C2×C3×C4C23×D311yescharacteristic
492C2×C3×C4C23×D311yescharacteristic
493#67—64no—
494#67—241no—
495C2×Dic3—21no—
496C2×Dic3—21no—
497C2×Dic3—21no—
498C2×Dic3—21no—
499C2×Dic3—61no—
500C2×Dic3—61no—
501C2×Dic3—61no—
502C2×Dic3—61no—
503C2×Dic3—121no—
504C2×Dic3—121no—
505C2×Dic3—241no—
506C2×Dic3C2×D1211yescharacteristic
507C2×Dic3C2×D1211yescharacteristic
508C2×Dic3C2×D1211yescharacteristic
509D12—32no—
510D12—32no—
511D12—62no—
512D12—62no—
513D12—64no—
514D12—61no—
515D12—61no—
516D12—61no—
517D12—61no—
518D12—61no—
519D12—61no—
520D12—121no—
521D12—121no—
522D12—241no—
523C4×D3—21no—
524C4×D3—21no—
525C4×D3—64no—
526C4×D3—64no—
527C4×D3—241no—
528C4×D3—241no—
529C4×D3—241no—
530C4×D3—241no—
531C4×D3—241no—
532C4×D3—241no—
533C4×D3—241no—
534C4×D3—242no—
535C4×D3—242no—
536Dic6—21no—
537Dic6—21no—
538Dic6—21no—
539Dic6—241no—
540Dic6—241no—
541Dic6#23512yes—
542C3×C8—22no—
543C3×C8—21no—
544C3×C8—21no—
545C3×C8—21no—
546C3×C8—21no—
547C3×C8—41no—
548C3×C8—61no—
549C3×C8—61no—
550C3⋊C8—21no—
551C3⋊C8—21no—
552C2×C32#52511yescharacteristic
553C2×C32#57611yescharacteristic
554C2×C32#57811yescharacteristic
555C3⋊D3—42no—
556C3⋊D3—81no—
557C3×D3—41no—
558#41—182no—
559#41—182no—
560C2×Q8—31no—
561C2×Q8—31no—
562C2×Q8—181no—
563C2×D4—91no—
564C2×D4—91no—
565C2×D4—181no—
566C2×D4—181no—
567C22×C4—31no—
568C22×C4—181no—
569C22×C4—181no—
570C22×C4—181no—
571C22×C4—181no—
572C22×C4—181no—
573Q16—62no—
574SD16—182no—
575SD16—182no—
576D8—182no—
577C2×C8—31no—
578C2×C8—31no—
579C2×C8C2×D3211yescharacteristic
580C2×C8C2×D3211yescharacteristic
581C4⋊C4—31no—
582C4⋊C4—31no—
583C4⋊C4—31no—
584C4⋊C4—31no—
585C4⋊C4—61no—
586C4⋊C4—61no—
587C4⋊C4—91no—
588C4⋊C4—91no—
589C4⋊C4—181no—
590C4⋊C4—181no—
591C4⋊C4—181no—
592C4⋊C4—181no—
593C22⋊C4—31no—
594C22⋊C4—31no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C22⋊C4—181no—
601C22⋊C4—181no—
602C42—31no—
603C42—61no—
604C42—61no—
605C42—181no—
606C42C2×D3211yescharacteristic
607C22×C3—21no—
608C22×C3—61no—
609C22×C3—61no—
610C22×C3—61no—
611C22×C3C22×D1211yescharacteristic
612C22×C3C2×D3×D411yescharacteristic
613C2×D3—21no—
614C2×D3—21no—
615C2×D3—21no—
616C2×D3—62no—
617C2×D3—62no—
618C2×D3—122no—
619C2×D3—121no—
620C2×D3—121no—
621C2×D3—121no—
622C2×D3—121no—
623C2×D3—122no—
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—121no—
627C2×D3—121no—
628C2×D3—121no—
629C2×D3—121no—
630C2×D3—241no—
631C2×D3—241no—
632C2×D3—241no—
633C2×D3—241no—
634C3×C4—22no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—21no—
639C3×C4—21no—
640C3×C4—21no—
641C3×C4—41no—
642C3×C4—61no—
643C3×C4—61no—
644C3×C4—62no—
645C3×C4—61no—
646C3×C4—121no—
647C3×C4—121no—
648C3×C4—121no—
649C3×C4C2×#23511yescharacteristic
650C3×C4D3×#4111yescharacteristic
651C3×C4D3×#4111yescharacteristic
652C3×C4D3×#4111yescharacteristic
653Dic3—21no—
654Dic3—21no—
655Dic3—21no—
656Dic3—22no—
657Dic3—41no—
658Dic3—41no—
659Dic3—41no—
660Dic3—121no—
661Dic3—121no—
662Dic3—121no—
663Dic3—121no—
664Dic3—241no—
665Dic3—241no—
666C32#312411yescharacteristic, complemented, Sylow
667C23—31no—
668C23—181no—
669C23—181no—
670Q8—32no—
671Q8—61no—
672Q8—61no—
673Q8—61no—
674Q8—721no—
675D4—92no—
676D4—184no—
677D4—181no—
678D4—181no—
679D4—181no—
680D4—721no—
681C2×C4—31no—
682C2×C4—31no—
683C2×C4—31no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—184no—
691C2×C4—181no—
692C2×C4—181no—
693C2×C4—721no—
694C2×C4—721no—
695C2×C4—721no—
696C2×C4—721no—
697C2×C4D3×D1211yescharacteristic
698C2×C4D3×D1211yescharacteristic
699C2×C4C22×D3211yescharacteristic
700C8—21no—
701C8—21no—
702C8—61no—
703C8—61no—
704C2×C3—21no—
705C2×C3—21no—
706C2×C3—21no—
707C2×C3—121no—
708C2×C3#552411yescharacteristic
709C2×C3#554711yescharacteristic
710C2×C3#575211yescharacteristic
711C2×C3#575311yescharacteristic
712C2×C3#576611yescharacteristic
713C2×C3#576911yescharacteristic
714D3—41no—
715D3—122no—
716D3—122no—
717D3—242no—
718D3—242no—
719D3—241no—
720D3—241no—
721C22—61no—
722C22—61no—
723C22—61no—
724C22—182no—
725C22—361no—
726C22—361no—
727C22—361no—
728C22—361no—
729C22—361no—
730C22C2×D3×D1211yescharacteristic
731C4—21no—
732C4—21no—
733C4—61no—
734C4—61no—
735C4—61no—
736C4—62no—
737C4—121no—
738C4—121no—
739C4—121no—
740C4—361no—
741C4—361no—
742C4D3×#23511yescharacteristic
743C4#6430611yescharacteristic
744C3—21no—
745C3#7938811yescharacteristic, complemented
746C3#7974911yescharacteristic, complemented
747C2—121no—
748C2—362no—
749C2—721no—
750C2#1059399711yescharacteristic
751C2#1059468011yescharacteristic
752C2#1059469111yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×C8C22
socleC22×C32C22×D4
prime radical#10590967C2
hypercenterC4×C8D32
hypocenterC32#3124
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×C8

Complements

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

NH ≅ G/Ntype
1. #10593890C2semidirect
2. #10593878C2semidirect
3. C4×#3745C2semidirect
4. C3×C4×Dic12C2semidirect
5. C3×#4690C2semidirect
7. #10590966C2semidirect
8. #10590804C2semidirect
9. #10590801C2semidirect
10. #10590770C2semidirect
11. #10590764C2semidirect
12. #10590682C2semidirect
13. #10590679C2semidirect
14. #10590362C2semidirect
15. #10590362C2semidirect
87. C4×Dic12D3semidirect
91. #4690D3semidirect
666. C32#3124semidirect
745. C3#79388semidirect
746. C3#79749semidirect

Maximal subgroups

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

subgroupindex
#105938902
#105938782
C4×#37452
C3×C4×Dic122
C3×#46902
#105909672
#105909662
#105908042
#105908012
#105907702
#105907642
#105906822
#105906792
#105903622
#797493
#793883