Finite Group Databasebeta

← #11895329

Subgroups — #11895329

Order 1152.

772 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5681C211yesmaximal, characteristic, complemented
2#10593929C211yesmaximal, characteristic, complemented
3#10592755C211yesmaximal, characteristic, complemented
4C3×#5057C211yesmaximal, characteristic, complemented
5#10591614C211yesmaximal, characteristic, complemented
6#10591567C211yesmaximal, characteristic, complemented
7Dic3×#215C211yesmaximal, characteristic, complemented
8#10591546C211yesmaximal, characteristic, complemented
9#10591487C211yesmaximal, characteristic, complemented
10#10591428C211yesmaximal, characteristic
11Dic3×#213C211yesmaximal, characteristic, complemented
12#10591409C211yesmaximal, characteristic, complemented
13C4×#3713C211yesmaximal, characteristic, complemented
14#10590271C211yesmaximal, characteristic, complemented
15#10590250C211yesmaximal, characteristic, complemented
16#83713—31nomaximal
17#80517—31nomaximal
18C32×#124C2211yescharacteristic
19#64079C2211yescharacteristic
20C3×#947C2211yescharacteristic
21C3×Q8×Dic3C2211yescharacteristic
22C2×C3×#215C2211yescharacteristic
23C3×#940C2211yescharacteristic
24C3×D4×Dic3C2211yescharacteristic
25C2×C3×#213C2211yescharacteristic
26C3×#886—21no—
27C3×#885—21no—
28C3×#883—21no—
29C3×#67⋊C4—21no—
30C3×C4×D12C2211yescharacteristic
31C3×C4×D12C2211yescharacteristic
32C3×C4×Dic6C2211yescharacteristic
33#63918C2211yescharacteristic
34#63899—21no—
35Dic3×D12C2211yescharacteristic
36Dic3×D12C2211yescharacteristic
37#63887—21no—
38D3×Dic3⋊C4—21no—
39#63869C2211yescharacteristic
40#63851—21no—
41C2×#3713C2211yescharacteristic
42#63662C2211yescharacteristic
43#63662C2211yescharacteristic
44#63659C2211yescharacteristic
45#63659C2211yescharacteristic
46C4×C3⋊(C3⋊C8)C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#832C2211yescharacteristic
49C3×C4⋊(C3⋊C8)C2211yescharacteristic
50#63576C2211yescharacteristic
51#63575C2211yescharacteristic
52#63573C2211yescharacteristic
53Dic3⋊(C3⋊C8)C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63563C2211yescharacteristic
56#63563C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59Dic3×C3⋊C8C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#559—31no—
62#5681D311yescharacteristic, complemented
63#5579—31no—
64#5539—31no—
65C3×#463—31no—
66#5165—31no—
67Dic3×SD16—31no—
68#5150—31no—
69Dic3×D8—31no—
70#5072—31no—
71#5070—31no—
72#5057—31no—
73#5057D311yescharacteristic, complemented
74#5056—31no—
75#5056—31no—
76#5056—31no—
77#5056—61no—
78C4×#215—31no—
79Q8×C3⋊C8—31no—
80#5021—31no—
81C4×#213—31no—
82C4×#213—31no—
83C4×#213—31no—
84#5009—31no—
85#5009—31no—
86#4847—31no—
87#4830—31no—
88#4800—31no—
89#4793—31no—
90#4763—31no—
91#4760—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C32×D4C2311yescharacteristic
94C2×C3×#67—21no—
95C2×C3×#67—21no—
96C22×C3×Dic3—21no—
97C2×C3×D12C2311yescharacteristic
98C2×C3×D12C2311yescharacteristic
99C2×C3×C4×D3—21no—
100C2×C3×C4×D3—21no—
101C2×C3×Dic6D411yescharacteristic
102C2×#627—21no—
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105C32×C22⋊C4—21no—
106C32×C22⋊C4—21no—
107C32×C42C2311yescharacteristic
108C4⋊(C3⋊Dic3)C2311yescharacteristic
109C4⋊(C3⋊Dic3)C2311yescharacteristic
110#3750—21no—
111#3750—21no—
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×#217—21no—
115C3×#215—22no—
116C3×#213—22no—
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3—21no—
122C3×C4⋊Dic3D411yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×C4⋊Dic3C2311yescharacteristic
125C3×Dic3⋊C4D411yescharacteristic
126C3×Dic3⋊C4D411yescharacteristic
127C3×C4×Dic3—21no—
128C3×C4×Dic3C2311yescharacteristic
129C3×C4×Dic3C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132#3724—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137#3713—22no—
138#3361—91noSylow
139C2×C3×SD16—31no—
140C2×C3×D8—31no—
141C3×#127—31no—
142C3×#124—21no—
143C3×#124—31no—
144C3×#124—61no—
145C3×#124C2×D311yescharacteristic
146C3×#124C2×D311yescharacteristic
147C3×#123—61no—
148C3×#123—61no—
149C3×C4×Q8—31no—
150C3×C4×Q8—31no—
151C3×C4×D4—31no—
152C3×C4×D4—31no—
153C3×C4×D4—31no—
154C3×C4×D4—61no—
155#947C2×D311yescharacteristic
156#946—61no—
157Q8×Dic3C2×D311yescharacteristic
158C2×#215C2×D311yescharacteristic
159#940C2×D311yescharacteristic
160D4×Dic3—31no—
161D4×Dic3—31no—
162D4×Dic3C2×D311yescharacteristic
163C2×#213—31no—
164C2×#213—31no—
165C2×#213C2×D311yescharacteristic
166#924—61no—
167C2×Dic3⋊C4—61no—
168#896—61no—
169#896—61no—
170D3×C4⋊C4—61no—
171#890—31no—
172#888—31no—
173#886—21no—
174#885—21no—
175#883—21no—
176#67⋊C4—21no—
177#878—61no—
178#878—61no—
179C4×D12—31no—
180C4×D12—31no—
181C4×D12C2×D311yescharacteristic
182C4×D12C2×D311yescharacteristic
183#870—31no—
184#870—31no—
185#870—31no—
186#870—61no—
187#869—31no—
188C4×Dic6C2×D311yescharacteristic
189C3×C4⋊C8—31no—
190C3×#103—31no—
191C3×#102—31no—
192#835—31no—
193#835—31no—
194#835—31no—
195#835—31no—
196#835—61no—
197#835—61no—
198#835C2×D311yescharacteristic
199#832—31no—
200#832—31no—
201#832—31no—
202#832—31no—
203#832—31no—
204#832—31no—
205#832—31no—
206#832—31no—
207#832—61no—
208#832—61no—
209#832C2×D311yescharacteristic
210#821—31no—
211#821—31no—
212#818—31no—
213#817—31no—
214Dic3⋊C8—31no—
215Dic3⋊C8—31no—
216C8×Dic3—31no—
217C8×Dic3—31no—
218#809—31no—
219#809—31no—
220#808—31no—
221#807—31no—
222#807—31no—
223#807—31no—
224C4⋊(C3⋊C8)—31no—
225C4⋊(C3⋊C8)—31no—
226C4⋊(C3⋊C8)C2×D311yescharacteristic
227C4×C3⋊C8—31no—
228C4×C3⋊C8—31no—
229C4×C3⋊C8—31no—
230C4×C3⋊C8—31no—
231C4×C3⋊C8—61no—
232C23×C32—21no—
233C22×C3×D3—21no—
234C22×C3×D3—21no—
235C32×Q8—21no—
236C32×Q8—21no—
237C32×D4—21no—
238C32×D4—21no—
239C2×C32×C4—21no—
240C2×C32×C4C2×D411yescharacteristic
241C2×C32×C4C2×D411yescharacteristic
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—21no—
245C3×#67—42no—
246C3×#67—81no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—81no—
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C3×D12—21no—
255C3×D12—21no—
256C3×D12—21no—
257C3×D12#4112yes—
258C3×C4×D3—81no—
259C3×C4×D3—81no—
260C3×Dic6—22no—
261#627—81no—
262D3×Dic3—42no—
263D3×Dic3—81no—
264C3⋊(C3⋊C8)—21no—
265C3⋊(C3⋊C8)—21no—
266C3×C3⋊C8—21no—
267C3×C3⋊C8—21no—
268#559—31no—
269#554—91no—
270#488—91no—
271#488—91no—
272#486—91no—
273#478—91no—
274#478—91no—
275#477—91no—
276#463—31no—
277#463—91no—
278#459—91no—
279C8×Q8—91no—
280C4×SD16—91no—
281C4×D8—91no—
282C4×D8—91no—
283C2×C3×Q8—21no—
284C2×C3×Q8—31no—
285C2×C3×Q8C22×D311yescharacteristic
286C2×C3×Q8C22×D311yescharacteristic
287C2×C3×D4—21no—
288C2×C3×D4—31no—
289C2×C3×D4—31no—
290C2×C3×D4—61no—
291C2×C3×D4—61no—
292C2×C3×D4C22×D311yescharacteristic
293C2×C3×D4C22×D311yescharacteristic
294C22×C3×C4—61no—
295C22×C3×C4—61no—
296C22×C3×C4—61no—
297C2×#67—21no—
298C2×#67—21no—
299C22×Dic3—21no—
300C22×Dic3—61no—
301C22×Dic3—61no—
302C2×D12C22×D311yescharacteristic
303C2×D12C22×D311yescharacteristic
304C2×C4×D3—21no—
305C2×C4×D3—21no—
306C2×C4×D3—61no—
307C2×C4×D3—61no—
308C2×Dic6—61no—
309C2×Dic6—61no—
310C2×Dic6#6711yescharacteristic
311C3×SD16—62no—
312C3×D8—62no—
313C2×C3×C8—31no—
314C2×C3×C8—31no—
315C3×C4⋊C4—31no—
316C3×C4⋊C4—31no—
317C3×C4⋊C4—31no—
318C3×C4⋊C4—31no—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—61no—
321C3×C22⋊C4—21no—
322C3×C22⋊C4—21no—
323C3×C22⋊C4—21no—
324C3×C22⋊C4—21no—
325C3×C22⋊C4—41no—
326C3×C22⋊C4—41no—
327C3×C22⋊C4—61no—
328C3×C22⋊C4—61no—
329C3×C22⋊C4—61no—
330C3×C22⋊C4—61no—
331C3×C22⋊C4—61no—
332C3×C42—21no—
333C3×C42—31no—
334C3×C42—31no—
335C3×C42—61no—
336C3×C42C22×D311yescharacteristic
337C3×C42C22×D311yescharacteristic
338#217—21no—
339#217—61no—
340#217—61no—
341#215—22no—
342#213—22no—
343#213—62no—
344#213—62no—
345(C2×D3)⋊C4—21no—
346(C2×D3)⋊C4—21no—
347(C2×D3)⋊C4—21no—
348(C2×D3)⋊C4—21no—
349(C2×D3)⋊C4—61no—
350(C2×D3)⋊C4—61no—
351C4⋊Dic3—21no—
352C4⋊Dic3—31no—
353C4⋊Dic3—31no—
354C4⋊Dic3—31no—
355C4⋊Dic3—31no—
356C4⋊Dic3—61no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3—61no—
360C4⋊Dic3#6711yescharacteristic
361C4⋊Dic3C22×D311yescharacteristic
362C4⋊Dic3C22×D311yescharacteristic
363Dic3⋊C4—61no—
364Dic3⋊C4—61no—
365Dic3⋊C4—61no—
366Dic3⋊C4—61no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—121no—
372Dic3⋊C4—121no—
373Dic3⋊C4#6711yescharacteristic
374Dic3⋊C4#6711yescharacteristic
375C4×Dic3—21no—
376C4×Dic3C22×D311yescharacteristic
377C4×Dic3C22×D311yescharacteristic
378C2×C3⋊C8—31no—
379C2×C3⋊C8—31no—
380C2×C3⋊C8—31no—
381C2×C3⋊C8—31no—
382C2×C3⋊C8—61no—
383C2×C3⋊C8—61no—
384C2×C3⋊C8C22×D311yescharacteristic
385C2×C3⋊C8C22×D311yescharacteristic
386C22×C32—41no—
387C22×C32—41no—
388C22×C32—41no—
389C22×C32C22×D411yescharacteristic
390C2×C3×D3—22no—
391C2×C3×D3—41no—
392C2×C3×D3—41no—
393C2×C3×D3—41no—
394C2×C3×D3—41no—
395C2×C3×D3—41no—
396C32×C4—21no—
397C32×C4—21no—
398C32×C4—41no—
399C32×C4C2×#4111yescharacteristic
400C32×C42−1+411yescharacteristic
401C3⋊Dic3—41no—
402C3⋊Dic3—41no—
403C3×Dic3—21no—
404C3×Dic3—21no—
405C3×Dic3—21no—
406C3×Dic3—41no—
407C3×Dic3—41no—
408C3×Dic3#13512yes—
409C2×SD16—31no—
410C2×D8—31no—
411C2×D8—91no—
412C4⋊Q8—91no—
413#127—31no—
414#125—91no—
415#125—91no—
416#124—31no—
417#124—61no—
418#124D3211yescharacteristic
419#123—61no—
420#123—61no—
421C22⋊Q8—181no—
422C22⋊Q8—181no—
423C22⋊Q8—181no—
424C4×Q8—31no—
425C4×Q8—31no—
426C4×D4—31no—
427C4×D4—31no—
428C4×D4—31no—
429C4×D4—61no—
430C4×D4—91no—
431C4×D4—91no—
432C2×C4⋊C4—181no—
433#107—91no—
434#107—91no—
435#106—91no—
436C4⋊C8—31no—
437C4⋊C8—91no—
438C4⋊C8—91no—
439#103—31no—
440#103—91no—
441#103—91no—
442#102—31no—
443#102—91no—
444#102—91no—
445#102—91no—
446#102—91no—
447#102—91no—
448#102—91no—
449C4×C8—91no—
450C4×C8—91no—
451C4×C8—91no—
452C23×C3—21no—
453C23×C3—21no—
454C23×C3—41no—
455C23×C3—61no—
456C23×C3—61no—
457C22×D3—21no—
458C22×D3—21no—
459C3×Q8—21no—
460C3×Q8—21no—
461C3×Q8—21no—
462C3×Q8—21no—
463C3×Q8—41no—
464C3×Q8—41no—
465C3×Q8—62no—
466C3×D4—21no—
467C3×D4—21no—
468C3×D4—21no—
469C3×D4—21no—
470C3×D4—32no—
471C3×D4—41no—
472C3×D4—41no—
473C3×D4—61no—
474C3×D4—61no—
475C3×D4—61no—
476C3×D4—122no—
477C3×D4—241no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—31no—
484C2×C3×C4—31no—
485C2×C3×C4—31no—
486C2×C3×C4—31no—
487C2×C3×C4—41no—
488C2×C3×C4—61no—
489C2×C3×C4—61no—
490C2×C3×C4—241no—
491C2×C3×C4—241no—
492C2×C3×C4—241no—
493C2×C3×C4D3×D411yescharacteristic
494C2×C3×C4D3×D411yescharacteristic
495C2×C3×C4C2×#6711yescharacteristic
496C2×C3×C4C2×#6711yescharacteristic
497C2×C3×C4C23×D311yescharacteristic
498C2×C3×C4C23×D311yescharacteristic
499#67—42no—
500#67—81no—
501C2×Dic3—21no—
502C2×Dic3—21no—
503C2×Dic3—61no—
504C2×Dic3—61no—
505C2×Dic3—61no—
506C2×Dic3—61no—
507C2×Dic3—81no—
508C2×Dic3—121no—
509C2×Dic3—121no—
510C2×Dic3—122no—
511C2×Dic3—241no—
512C2×Dic3C2×#6711yescharacteristic
513C2×Dic3C2×#6711yescharacteristic
514C2×Dic3C2×#6711yescharacteristic
515C2×Dic3C2×#6711yescharacteristic
516D12—21no—
517D12—21no—
518D12—21no—
519D12#23712yes—
520C4×D3—81no—
521C4×D3—81no—
522C4×D3—122no—
523C4×D3—241no—
524Dic6—22no—
525Dic6—241no—
526Dic6—241no—
527C3×C8—61no—
528C3×C8—61no—
529C3⋊C8—21no—
530C3⋊C8—21no—
531C3⋊C8—61no—
532C3⋊C8—61no—
533C3⋊C8—61no—
534C3⋊C8—61no—
535C3⋊C8—121no—
536C3⋊C8—121no—
537C2×C32—81no—
538C2×C32#54811yescharacteristic
539C2×C32C2×#13511yescharacteristic
540C2×C32#57611yescharacteristic
541C3×D3—42no—
542C3×D3—81no—
543C2×Q8—31no—
544C2×Q8—181no—
545C2×Q8C2×D3211yescharacteristic
546C2×D4—31no—
547C2×D4—31no—
548C2×D4—61no—
549C2×D4—61no—
550C2×D4C2×D3211yescharacteristic
551C22×C4—61no—
552C22×C4—61no—
553C22×C4—61no—
554C22×C4—181no—
555C22×C4—181no—
556SD16—62no—
557D8—62no—
558D8—182no—
559C2×C8—31no—
560C2×C8—31no—
561C2×C8—91no—
562C2×C8—91no—
563C4⋊C4—31no—
564C4⋊C4—31no—
565C4⋊C4—31no—
566C4⋊C4—31no—
567C4⋊C4—31no—
568C4⋊C4—61no—
569C4⋊C4—91no—
570C4⋊C4—91no—
571C4⋊C4—181no—
572C4⋊C4—181no—
573C4⋊C4—181no—
574C4⋊C4—181no—
575C4⋊C4—181no—
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—61no—
579C22⋊C4—61no—
580C22⋊C4—61no—
581C22⋊C4—61no—
582C22⋊C4—61no—
583C22⋊C4—181no—
584C22⋊C4—181no—
585C42—31no—
586C42—31no—
587C42—61no—
588C42C2×D3211yescharacteristic
589C22×C3—21no—
590C22×C3—41no—
591C22×C3—41no—
592C22×C3—41no—
593C22×C3—41no—
594C22×C3—41no—
595C22×C3—41no—
596C22×C3—62no—
597C22×C3—81no—
598C22×C3—81no—
599C22×C3—81no—
600C22×C3—121no—
601C22×C3—121no—
602C22×C3—121no—
603C22×C3—121no—
604C22×C3—121no—
605C22×C3C2×D3×D411yescharacteristic
606C22×C3C22×#6711yescharacteristic
607C2×D3—22no—
608C2×D3—41no—
609C2×D3—41no—
610C2×D3—41no—
611C2×D3—41no—
612C2×D3—41no—
613C3×C4—21no—
614C3×C4—21no—
615C3×C4—21no—
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—21no—
619C3×C4—32no—
620C3×C4—41no—
621C3×C4—41no—
622C3×C4—41no—
623C3×C4—41no—
624C3×C4—61no—
625C3×C4—61no—
626C3×C4—61no—
627C3×C4—81no—
628C3×C4—121no—
629C3×C4—121no—
630C3×C4C2×#23711yescharacteristic
631C3×C4D3×#4111yescharacteristic
632C3×C4#101011yescharacteristic
633C3×C4#101011yescharacteristic
634Dic3—21no—
635Dic3—21no—
636Dic3—21no—
637Dic3—41no—
638Dic3—41no—
639Dic3—121no—
640Dic3—121no—
641Dic3—121no—
642Dic3—121no—
643Dic3—241no—
644Dic3—241no—
645Dic3#95012yes—
646C32#336111yescharacteristic, complemented, Sylow
647C23—21no—
648C23—61no—
649C23—61no—
650Q8—21no—
651Q8—21no—
652Q8—62no—
653Q8—721no—
654D4—21no—
655D4—21no—
656D4—32no—
657D4—61no—
658D4—61no—
659D4—61no—
660D4—122no—
661D4—241no—
662C2×C4—21no—
663C2×C4—31no—
664C2×C4—31no—
665C2×C4—31no—
666C2×C4—31no—
667C2×C4—61no—
668C2×C4—61no—
669C2×C4—181no—
670C2×C4—181no—
671C2×C4—241no—
672C2×C4—241no—
673C2×C4—241no—
674C2×C4—362no—
675C2×C4—721no—
676C2×C4D3×#6711yescharacteristic
677C2×C4D3×#6711yescharacteristic
678C2×C4C22×D3211yescharacteristic
679C8—61no—
680C8—61no—
681C8—181no—
682C8—181no—
683C2×C3—21no—
684C2×C3—21no—
685C2×C3—21no—
686C2×C3—81no—
687C2×C3—81no—
688C2×C3—122no—
689C2×C3—161no—
690C2×C3—241no—
691C2×C3#559811yescharacteristic
692C2×C3D3×#13511yescharacteristic
693C2×C3#577411yescharacteristic
694C2×C3C2×#95011yescharacteristic
695C2×C3#583111yescharacteristic
696C2×C3#583511yescharacteristic
697D3—42no—
698D3—81no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—62no—
703C22—121no—
704C22—121no—
705C22—121no—
706C22—121no—
707C22—121no—
708C22C2×D3×#6711yescharacteristic
709C4—21no—
710C4—21no—
711C4—32no—
712C4—41no—
713C4—61no—
714C4—61no—
715C4—61no—
716C4—121no—
717C4—121no—
718C4—361no—
719C4—361no—
720C4#6430911yescharacteristic
721C4D3×#23711yescharacteristic
722C3—21no—
723C3#8051711yescharacteristic, complemented
724C3#8371311yescharacteristic, complemented
725C2—81no—
726C2—122no—
727C2—241no—
728C2#1059515711yescharacteristic
729C2D3×#95011yescharacteristic
730C2#1059545411yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#124C22
socleC22×C32C22×D4
prime radical#10591428C2
hypercenter#124D32
hypocenterC32#3361
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ #124

Complements

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

NH ≅ G/Ntype
1. C3×#5681C2semidirect
2. #10593929C2semidirect
3. #10592755C2semidirect
4. C3×#5057C2semidirect
5. #10591614C2semidirect
6. #10591567C2semidirect
7. Dic3×#215C2semidirect
8. #10591546C2semidirect
9. #10591487C2semidirect
11. Dic3×#213C2semidirect
12. #10591409C2semidirect
13. C4×#3713C2semidirect
14. #10590271C2semidirect
15. #10590250C2semidirect
62. #5681D3semidirect
73. #5057D3semidirect
646. C32#3361semidirect
723. C3#80517semidirect
724. C3#83713semidirect

Maximal subgroups

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

subgroupindex
C3×#56812
#105939292
#105927552
C3×#50572
#105916142
#105915672
Dic3×#2152
#105915462
#105914872
#105914282
Dic3×#2132
#105914092
C4×#37132
#105902712
#105902502
#837133
#805173