Finite Group Databasebeta

← #11872974

Subgroups — #11872974

Order 1152.

824 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595394C211yesmaximal, characteristic, complemented
2#10595346C211yesmaximal, characteristic, complemented
3#10592884C211yesmaximal, characteristic, complemented
4C3×#5187C211yesmaximal, characteristic, complemented
5C3×Dic3×Q16C211yesmaximal, characteristic, complemented
6#10591631C211yesmaximal, characteristic, complemented
7#10591588C211yesmaximal, characteristic
8#10591570C211yesmaximal, characteristic, complemented
9#10591566C211yesmaximal, characteristic, complemented
10#10591551C211yesmaximal, characteristic, complemented
11#10591540C211yesmaximal, characteristic, complemented
12#10590778C211yesmaximal, characteristic, complemented
13#10590745C211yesmaximal, characteristic, complemented
14#10590696C211yesmaximal, characteristic, complemented
15#10590679C211yesmaximal, characteristic, complemented
16#80218—31nomaximal
17#79749—31nomaximal
18C2×C3×#239C2211yescharacteristic
19C2×C32×Q16C2211yescharacteristic
20#64156C2211yescharacteristic
21Q8×C3⋊Dic3C2211yescharacteristic
22C2×#3755C2211yescharacteristic
23C3×#946C2211yescharacteristic
24C3×Q8×Dic3C2211yescharacteristic
25C3×Q8×Dic3C2211yescharacteristic
26C2×C3×#215C2211yescharacteristic
27#63919C2211yescharacteristic
28#63909C2211yescharacteristic
29#63898—21no—
30#63898C2211yescharacteristic
31#63895—21no—
32#63894C2211yescharacteristic
33Dic3×D12—21no—
34Dic3×D12C2211yescharacteristic
35D3×C4⋊Dic3—21no—
36D3×C4⋊Dic3C2211yescharacteristic
37#63868—21no—
38#63855—21no—
39#63855C2211yescharacteristic
40#63854—21no—
41#63852—21no—
42C2×#3714C2211yescharacteristic
43#63662C2211yescharacteristic
44#63648C2211yescharacteristic
45#63641C2211yescharacteristic
46C3×#835C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#835C2211yescharacteristic
49C3×#821C2211yescharacteristic
50C3×(C2×D3)⋊C8C2211yescharacteristic
51C3×#818C2211yescharacteristic
52C3×C8×Dic3C2211yescharacteristic
53#63576C2211yescharacteristic
54#63575C2211yescharacteristic
55#63575C2211yescharacteristic
56#63572C2211yescharacteristic
57#63564C2211yescharacteristic
58#63562C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63554C2211yescharacteristic
61#5827—31no—
62#5643—31no—
63#5582—31no—
64#5574—31no—
65C3×#452—31no—
66C3×C4×Q16—31no—
67#5238—31no—
68#5187D311yescharacteristic, complemented
69#5185—31no—
70#5185—31no—
71#5185—61no—
72Dic3×Q16D311yescharacteristic, complemented
73#5165—31no—
74#5164—31no—
75#5044—31no—
76#5026—31no—
77#5026—31no—
78#4890—31no—
79#4882—31no—
80#4819—31no—
81#4817—31no—
82#4811—31no—
83#4810—31no—
84#4793—31no—
85#4793—31no—
86#4759—31no—
87#4756—31no—
88#4736—31no—
89#4720—31no—
90C4×D24—31no—
91#4690—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C32×Q8C2311yescharacteristic
94C2×C4⋊(C3⋊D3)C2311yescharacteristic
95C3×#239—22no—
96C3×#239—22no—
97C2×C3×D12—21no—
98C2×C3×D12C2311yescharacteristic
99C2×C3×C4×D3—21no—
100C2×C3×C4×D3C2311yescharacteristic
101C2×#627—21no—
102C2×#626—21no—
103C2×#624—21no—
104C2×D3×Dic3—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3—21no—
107C32×Q16—22no—
108C2×C32×C8C2311yescharacteristic
109#3755—22no—
110#3752—21no—
111#3752—21no—
112C4⋊(C3⋊Dic3)—21no—
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114C4×C3⋊Dic3—21no—
115C4×C3⋊Dic3C2311yescharacteristic
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C3×#215—22no—
118C3×(C2×D3)⋊C4—21no—
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4—21no—
125C3×C4×Dic3—21no—
126C3×C4×Dic3—21no—
127C3×C4×Dic3C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130#3724—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3D411yescharacteristic
133Dic3⋊Dic3D411yescharacteristic
134#3722—21no—
135#3722—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3D411yescharacteristic
139(C2×D3)⋊Dic3D411yescharacteristic
140#3714—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—
148C3×C22⋊Q8—31no—
149C3×C4×Q8—31no—
150C3×C4×Q8—31no—
151#947—31no—
152#947—31no—
153#947—61no—
154#946C2×D311yescharacteristic
155Q8×Dic3—31no—
156Q8×Dic3—31no—
157Q8×Dic3—61no—
158Q8×Dic3C2×D311yescharacteristic
159Q8×Dic3C2×D311yescharacteristic
160C2×#215—31no—
161C2×#215—31no—
162C2×#215—61no—
163C2×#215C2×D311yescharacteristic
164D4×Dic3—31no—
165D4×Dic3—31no—
166D4×Dic3—61no—
167D4×Dic3—61no—
168C2×#213—31no—
169#930—31no—
170#926—31no—
171#926—61no—
172C2×C4⋊Dic3—31no—
173C2×C4⋊Dic3—61no—
174C2×D24—31no—
175#898—61no—
176#897—61no—
177#896—61no—
178#895—31no—
179#894—61no—
180#893—31no—
181#893—31no—
182#893—61no—
183D3×C4⋊C4—31no—
184D3×C4⋊C4—61no—
185#888—31no—
186#888—31no—
187#885—61no—
188#883—61no—
189#876—61no—
190#875—61no—
191C4×D12—31no—
192C4×D12—31no—
193C4×D12—61no—
194#872—31no—
195#872—61no—
196C3×#107—31no—
197C3×#103—31no—
198C3×#103—31no—
199C3×#103—31no—
200C3×#102—31no—
201C3×C22⋊C8—31no—
202C3×C4×C8—31no—
203#835—31no—
204#835—31no—
205#835—61no—
206#835C2×D311yescharacteristic
207#835C2×D311yescharacteristic
208#835C2×D311yescharacteristic
209#832—31no—
210#830—31no—
211#821—31no—
212#821—31no—
213#821—31no—
214#821—61no—
215#821C2×D311yescharacteristic
216(C2×D3)⋊C8—31no—
217(C2×D3)⋊C8C2×D311yescharacteristic
218#818—31no—
219#818—31no—
220#818C2×D311yescharacteristic
221#815—31no—
222Dic3⋊C8—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8—31no—
225Dic3⋊C8—31no—
226Dic3⋊C8—61no—
227C8×Dic3C2×D311yescharacteristic
228#809—31no—
229#809—31no—
230#807—31no—
231#807—31no—
232#807—31no—
233#807—31no—
234#803—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⋊Dic3C2×D411yescharacteristic
247C2×C3⋊Dic3C2×D411yescharacteristic
248C4⋊(C3⋊D3)—21no—
249C4⋊(C3⋊D3)—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×D12—24no—
257C3×D12—21no—
258C3×D12#4112yes—
259C3×C4×D3—24no—
260C3×C4×D3—21no—
261C3×C4×D3—21no—
262#627—81no—
263#626—81no—
264#624—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—91no—
279#463—91no—
280#452—31no—
281#449—91no—
282#440—91no—
283#440—91no—
284C4×Q16—31no—
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—61no—
297C22×C3×C4—31no—
298C22×C3×C4—61no—
299C2×#67—61no—
300C22×Dic3—61no—
301C22×Dic3—61no—
302C22×Dic3—61no—
303#239—22no—
304#239—22no—
305C2×D12—21no—
306C2×D12—31no—
307C2×D12—31no—
308C2×D12—61no—
309C2×D12—61no—
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×D3—61no—
317C2×C4×D3C22×D311yescharacteristic
318C2×Dic6—61no—
319C2×Dic6—61no—
320C3×Q16—22no—
321C3×Q16—22no—
322C3×Q16—42no—
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—31no—
332C3×C4⋊C4—61no—
333C3×C4⋊C4—61no—
334C3×C4⋊C4—61no—
335C3×C22⋊C4—61no—
336C3×C42—31no—
337C3×C42—61no—
338C3×C42—61no—
339#217—31no—
340#217—31no—
341#217—61no—
342#217—61no—
343#215—22no—
344#215—62no—
345#215—62no—
346#215—122no—
347#213—62no—
348(C2×D3)⋊C4—21no—
349(C2×D3)⋊C4—31no—
350(C2×D3)⋊C4—31no—
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—61no—
361(C2×D3)⋊C4—121no—
362(C2×D3)⋊C4—121no—
363C4⋊Dic3—21no—
364C4⋊Dic3—21no—
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—31no—
368C4⋊Dic3—31no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3—121no—
374C4⋊Dic3C22×D311yescharacteristic
375C4⋊Dic3C22×D311yescharacteristic
376C4⋊Dic3C22×D311yescharacteristic
377Dic3⋊C4—21no—
378Dic3⋊C4—31no—
379Dic3⋊C4—31no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383C4×Dic3—21no—
384C4×Dic3—21no—
385C4×Dic3—31no—
386C4×Dic3—31no—
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
397D24—62no—
398C22×C32C22×D411yescharacteristic
399C2×C3⋊D3—41no—
400C2×C3⋊D3—41no—
401C2×C3⋊D3—41no—
402C2×C3×D3—21no—
403C2×C3×D3—22no—
404C2×C3×D3—21no—
405C2×C3×D3—21no—
406C2×C3×D3—41no—
407C2×C3×D3—41no—
408C32×C4—22no—
409C32×C4—41no—
410C32×C4C2×#4111yescharacteristic
411C32×C4C2×#4111yescharacteristic
412C3⋊Dic3—21no—
413C3⋊Dic3—21no—
414C3⋊Dic3—41no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C3×Dic3—41no—
421C2×#41—31no—
422C2×Q16D3211yescharacteristic
423C2×SD16—31no—
424C2×SD16—91no—
425C2×D8—91no—
426C4⋊Q8—91no—
427#126—181no—
428#124—91no—
429#124—181no—
430#123—181no—
431C22⋊Q8—31no—
432C22⋊Q8—181no—
433#121—91no—
434C4×Q8—31no—
435C4×Q8—31no—
436C4×Q8—91no—
437C4×D4—91no—
438C4×D4—91no—
439C4×D4—91no—
440C4×D4—181no—
441C4×D4—181no—
442#117—91no—
443#117—181no—
444C2×C4⋊C4—91no—
445C2×C4⋊C4—181no—
446#107—31no—
447#107—91no—
448#107—91no—
449#107—91no—
450C4⋊C8—91no—
451C4⋊C8—91no—
452#103—31no—
453#103—31no—
454#103—31no—
455#103—91no—
456#102—31no—
457#102—91no—
458#102—91no—
459#102—91no—
460C22⋊C8—31no—
461C22⋊C8—91no—
462#97—91no—
463C4×C8—31no—
464C23×C3—31no—
465C23×C3—61no—
466C22×D3—21no—
467C22×D3—61no—
468C22×D3—61no—
469C22×D3—121no—
470C22×D3D3×D411yescharacteristic
471C3×Q8—21no—
472C3×Q8—21no—
473C3×Q8—21no—
474C3×Q8—21no—
475C3×Q8—21no—
476C3×Q8—21no—
477C3×Q8—22no—
478C3×Q8—41no—
479C3×Q8—41no—
480C3×Q8—41no—
481C3×Q8#23512yes—
482C3×Q8#23712yes—
483C3×D4—32no—
484C3×D4—64no—
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×C4—61no—
502C2×C3×C4C23×D311yescharacteristic
503C2×C3×C4C23×D311yescharacteristic
504#67—241no—
505C2×Dic3—21no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—31no—
509C2×Dic3—31no—
510C2×Dic3—31no—
511C2×Dic3—31no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—121no—
517C2×Dic3—241no—
518C2×Dic3—241no—
519C2×Dic3—241no—
520C2×Dic3D3×D411yescharacteristic
521C2×Dic3D3×D411yescharacteristic
522C2×Dic3D3×D411yescharacteristic
523D12—24no—
524D12—21no—
525D12—61no—
526D12—61no—
527D12—61no—
528D12—61no—
529D12—121no—
530D12—121no—
531D12—241no—
532D12#23712yes—
533C4×D3—24no—
534C4×D3—21no—
535C4×D3—21no—
536C4×D3—241no—
537C4×D3—241no—
538C4×D3—241no—
539C4×D3—241no—
540C4×D3—241no—
541Dic6—241no—
542Dic6—241no—
543C3×C8—21no—
544C3×C8—21no—
545C3×C8—41no—
546C3×C8—61no—
547C3×C8—61no—
548C3⋊C8—21no—
549C3⋊C8—21no—
550C3⋊C8—61no—
551C3⋊C8—61no—
552C3⋊C8—121no—
553C2×C32#52511yescharacteristic
554C2×C32#57611yescharacteristic
555C2×C32#57811yescharacteristic
556C3⋊D3—81no—
557C3×D3—41no—
558C3×D3—42no—
559#41—62no—
560#41—62no—
561C2×Q8—181no—
562C2×Q8C2×D3211yescharacteristic
563C2×Q8C2×D3211yescharacteristic
564C2×D4—31no—
565C2×D4—61no—
566C2×D4—91no—
567C2×D4—181no—
568C22×C4—31no—
569C22×C4—61no—
570C22×C4—181no—
571C22×C4—181no—
572C22×C4—181no—
573C22×C4—181no—
574Q16—22no—
575SD16—62no—
576SD16—182no—
577D8—182no—
578C2×C8—31no—
579C2×C8—31no—
580C2×C8—91no—
581C2×C8C2×D3211yescharacteristic
582C4⋊C4—31no—
583C4⋊C4—31no—
584C4⋊C4—31no—
585C4⋊C4—61no—
586C4⋊C4—61no—
587C4⋊C4—61no—
588C4⋊C4—91no—
589C4⋊C4—91no—
590C4⋊C4—91no—
591C4⋊C4—181no—
592C4⋊C4—181no—
593C4⋊C4—181no—
594C22⋊C4—61no—
595C22⋊C4—91no—
596C22⋊C4—91no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C22⋊C4—181no—
601C22⋊C4—181no—
602C22⋊C4—181no—
603C42—31no—
604C42—61no—
605C42—61no—
606C42—91no—
607C42—181no—
608C22×C3—21no—
609C22×C3—61no—
610C22×C3—61no—
611C22×C3—62no—
612C22×C3—61no—
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—121no—
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—121no—
627C2×D3—121no—
628C2×D3—121no—
629C2×D3—241no—
630C2×D3—241no—
631C2×D3—241no—
632C3×C4—22no—
633C3×C4—22no—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—42no—
637C3×C4—41no—
638C3×C4—41no—
639C3×C4—61no—
640C3×C4—61no—
641C3×C4—61no—
642C3×C4—81no—
643C3×C4—121no—
644C3×C4—121no—
645C3×C4—121no—
646C3×C4C2×#23511yescharacteristic
647C3×C4C2×#23711yescharacteristic
648C3×C4C2×#23711yescharacteristic
649C3×C4D3×#4111yescharacteristic
650Dic3—21no—
651Dic3—21no—
652Dic3—21no—
653Dic3—41no—
654Dic3—41no—
655Dic3—41no—
656Dic3—61no—
657Dic3—61no—
658Dic3—61no—
659Dic3—61no—
660Dic3—121no—
661Dic3—121no—
662Dic3—121no—
663Dic3—121no—
664Dic3—241no—
665C32#312411yescharacteristic, complemented, Sylow
666C23—31no—
667C23—61no—
668C23—181no—
669Q8—21no—
670Q8—21no—
671Q8—21no—
672Q8—721no—
673Q8#380412yes—
674D4—32no—
675D4—64no—
676D4—61no—
677D4—181no—
678D4—181no—
679D4—721no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—31no—
683C2×C4—31no—
684C2×C4—31no—
685C2×C4—64no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—91no—
692C2×C4—91no—
693C2×C4—181no—
694C2×C4—721no—
695C2×C4—721no—
696C2×C4—721no—
697C2×C4—721no—
698C2×C4C22×D3211yescharacteristic
699C8—21no—
700C8—61no—
701C8—61no—
702C8—181no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—21no—
706C2×C3—121no—
707C2×C3—122no—
708C2×C3#554711yescharacteristic
709C2×C3#558611yescharacteristic
710C2×C3#576611yescharacteristic
711C2×C3#576911yescharacteristic
712C2×C3#576911yescharacteristic
713C2×C3#577911yescharacteristic
714D3—41no—
715D3—42no—
716D3—241no—
717D3—241no—
718D3—481no—
719C22—62no—
720C22—61no—
721C22—61no—
722C22—61no—
723C22—121no—
724C22—121no—
725C22—361no—
726C22—361no—
727C22—361no—
728C22D32×D411yescharacteristic
729C4—22no—
730C4—41no—
731C4—61no—
732C4—61no—
733C4—61no—
734C4—121no—
735C4—121no—
736C4—121no—
737C4—181no—
738C4—181no—
739C4—361no—
740C4D3×#23711yescharacteristic
741C4C2×#380411yescharacteristic
742C3—21no—
743C3#7974911yescharacteristic, complemented
744C3#8021811yescharacteristic, complemented
745C2—121no—
746C2—122no—
747C2—721no—
748C2#1059476611yescharacteristic
749C2#1059477111yescharacteristic
750C2#1059512911yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×Q16C22
socleC22×C32C22×D4
prime radical#10591588C2
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. #10595394C2semidirect
2. #10595346C2semidirect
3. #10592884C2semidirect
4. C3×#5187C2semidirect
5. C3×Dic3×Q16C2semidirect
6. #10591631C2semidirect
8. #10591570C2semidirect
9. #10591566C2semidirect
10. #10591551C2semidirect
11. #10591540C2semidirect
12. #10590778C2semidirect
13. #10590745C2semidirect
14. #10590696C2semidirect
15. #10590679C2semidirect
68. #5187D3semidirect
72. Dic3×Q16D3semidirect
665. C32#3124semidirect
743. C3#79749semidirect
744. C3#80218semidirect

Maximal subgroups

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

subgroupindex
#105953942
#105953462
#105928842
C3×#51872
C3×Dic3×Q162
#105916312
#105915882
#105915702
#105915662
#105915512
#105915402
#105907782
#105907452
#105906962
#105906792
#802183
#797493