Finite Group Databasebeta

← #11873005

Subgroups — #11873005

Order 1152.

830 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595124C211yesmaximal, characteristic, complemented
2#10594327C211yesmaximal, characteristic, complemented
3#10592486C211yesmaximal, characteristic, complemented
4C3×#4774C211yesmaximal, characteristic, complemented
5C3×#4757C211yesmaximal, characteristic, complemented
6#10591521C211yesmaximal, characteristic
7#10591443C211yesmaximal, characteristic, complemented
8#10591400C211yesmaximal, characteristic, complemented
9#10590970C211yesmaximal, characteristic, complemented
10#10590817C211yesmaximal, characteristic, complemented
11#10590773C211yesmaximal, characteristic, complemented
12#10590697C211yesmaximal, characteristic, complemented
13#10590481C211yesmaximal, characteristic, complemented
14#10590430C211yesmaximal, characteristic, complemented
15#10590427C211yesmaximal, characteristic, complemented
16#81273—31nomaximal
17#79813—31nomaximal
18C2×#3799C2211yescharacteristic
19#64145C2211yescharacteristic
20C2×#3753C2211yescharacteristic
21C2×#3744C2211yescharacteristic
22#64102C2211yescharacteristic
23C3×#938C2211yescharacteristic
24C3×D4×Dic3C2211yescharacteristic
25C2×C3×#214C2211yescharacteristic
26C3×D3×C4⋊C4C2211yescharacteristic
27C3×#887C2211yescharacteristic
28#63964—21no—
29#63961—21no—
30#63959—21no—
31#63956—21no—
32#63919C2211yescharacteristic
33#63904—21no—
34C4×#626—21no—
35#63894C2211yescharacteristic
36#63883—21no—
37#63857C2211yescharacteristic
38#63855C2211yescharacteristic
39#63844C2211yescharacteristic
40#63843C2211yescharacteristic
41#63836—21no—
42C2×#3719C2211yescharacteristic
43C32×#102C2211yescharacteristic
44#63641C2211yescharacteristic
45#63637C2211yescharacteristic
46C3×#832C2211yescharacteristic
47C3×(C2×D3)⋊C8C2211yescharacteristic
48C3×#818C2211yescharacteristic
49C3×#816C2211yescharacteristic
50C3×#815C2211yescharacteristic
51C3×#807C2211yescharacteristic
52C3×#807C2211yescharacteristic
53#63576C2211yescharacteristic
54#63572C2211yescharacteristic
55#63567C2211yescharacteristic
56#63565C2211yescharacteristic
57#63564C2211yescharacteristic
58#63564C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5603—31no—
62#5574—31no—
63#5561—31no—
64#5504—31no—
65C3×#480—31no—
66C3×#440—31no—
67#5172—31no—
68#5166—31no—
69#5037—31no—
70C4×#216—31no—
71C4×#213—31no—
72#4970—31no—
73#4890—31no—
74#4890—31no—
75#4889—31no—
76#4884—31no—
77#4875—31no—
78#4873—31no—
79#4808—31no—
80#4793—31no—
81#4787—31no—
82#4787—31no—
83#4787—61no—
84#4774D311yescharacteristic, complemented
85#4767—31no—
86#4757D311yescharacteristic, complemented
87#4756—31no—
88#4733—31no—
89#4720—31no—
90#4710—31no—
91#4709—31no—
92C2×C32×D4C2311yescharacteristic
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3—21no—
95C2×#634C2311yescharacteristic
96C2×C3×#67—21no—
97C22×C3×Dic3—21no—
98C2×C3×C4×D3—21no—
99C2×C3×C4×D3C2311yescharacteristic
100C2×C3×Dic6C2311yescharacteristic
101C2×#627—21no—
102C2×#626—21no—
103C2×#624—21no—
104C2×#624—21no—
105#3799—22no—
106#3799—22no—
107C2×C32×C8C2311yescharacteristic
108C32×C4⋊C4C2311yescharacteristic
109#3757—21no—
110#3757—21no—
111#3753—22no—
112#3752—21no—
113C4×C3⋊Dic3C2311yescharacteristic
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115#3744—22no—
116C3×#217—21no—
117C3×#217—21no—
118C3×#214—22no—
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×C4×Dic3—21no—
125C3×C4×Dic3C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128#3724—21no—
129#3724—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3D411yescharacteristic
133Dic3⋊Dic3D411yescharacteristic
134#3722—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3D411yescharacteristic
137(C2×D3)⋊Dic3D411yescharacteristic
138Dic32—21no—
139Dic32—21no—
140#3719—22no—
141#3124—91noSylow
142C2×#239—31no—
143C2×#235—31no—
144C2×C3×SD16—31no—
145C3×#121—31no—
146C3×C4×Q8—31no—
147C3×C4×D4—31no—
148C2×C3×C4⋊C4—31no—
149Q8×Dic3—31no—
150C2×#216—31no—
151#938C2×D311yescharacteristic
152#936—31no—
153#936—31no—
154#936—61no—
155#936—61no—
156#935—61no—
157D4×Dic3C2×D311yescharacteristic
158C2×#214C2×D311yescharacteristic
159C2×#213—31no—
160C2×#213—31no—
161C2×#213—61no—
162#929—61no—
163C4×#67—61no—
164C4×#67—61no—
165#926—31no—
166#924—31no—
167#924—61no—
168C2×Dic12—31no—
169C2×#204—31no—
170C2×#204—31no—
171C2×#204—61no—
172#897—31no—
173#893—31no—
174#893—31no—
175#893—31no—
176#893—61no—
177#893—61no—
178#892—61no—
179D3×C4⋊C4—61no—
180D3×C4⋊C4—61no—
181D3×C4⋊C4C2×D311yescharacteristic
182#888—31no—
183#888—31no—
184#887—31no—
185#887—31no—
186#887C2×D311yescharacteristic
187#885—61no—
188#879—61no—
189#879—61no—
190#878—61no—
191C4×D12—31no—
192C4×D12—61no—
193#872—31no—
194#872—61no—
195C4×Dic6—31no—
196C3×#107—31no—
197C3×#107—31no—
198C3×#107—31no—
199C3×#103—31no—
200C3×#102—21no—
201C3×#102—31no—
202C3×#102C2×D311yescharacteristic
203C3×#102C2×D311yescharacteristic
204C3×C22⋊C8—31no—
205C3×#97—31no—
206#835—31no—
207#832C2×D311yescharacteristic
208#830—31no—
209#821—31no—
210#821—31no—
211(C2×D3)⋊C8—31no—
212(C2×D3)⋊C8C2×D311yescharacteristic
213#818C2×D311yescharacteristic
214#816—31no—
215#816C2×D311yescharacteristic
216#815C2×D311yescharacteristic
217Dic3⋊C8—31no—
218Dic3⋊C8—31no—
219Dic3⋊C8—31no—
220Dic3⋊C8—31no—
221Dic3⋊C8—61no—
222C8×Dic3—31no—
223#810—31no—
224#810—31no—
225#810—31no—
226#810—31no—
227#810—61no—
228#809—31no—
229#809—31no—
230#807—31no—
231#807—31no—
232#807C2×D311yescharacteristic
233#807C2×D311yescharacteristic
234C4×C3⋊C8—31no—
235C23×C32—21no—
236C22×C3⋊D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C32×D4—21no—
239C32×D4—21no—
240C2×C32×C4—21no—
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3C2×D411yescharacteristic
244C2×C3⋊Dic3C2×D411yescharacteristic
245C4⋊(C3⋊D3)—21no—
246C4⋊(C3⋊D3)#4112yes—
247C4×C3⋊D3—81no—
248#634—21no—
249#634—21no—
250C3×#67—81no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—81no—
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×C4×D3—81no—
262C3×Dic6—21no—
263C3×Dic6#4112yes—
264#627—81no—
265#626—24no—
266#624—24no—
267#624—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—31no—
276#477—91no—
277#474—91no—
278#464—91no—
279#463—91no—
280#452—91no—
281#449—91no—
282#440—31no—
283#440—91no—
284C4×Q16—91no—
285C4×D8—91no—
286#433—91no—
287C2×C3×Q8—31no—
288C2×C3×D4—21no—
289C2×C3×D4—61no—
290C2×C3×D4C22×D311yescharacteristic
291C2×C3×D4C22×D311yescharacteristic
292C22×C3×C4—31no—
293C22×C3×C4—61no—
294C22×C3×C4—61no—
295C2×#67—21no—
296C2×#67—61no—
297C22×Dic3—21no—
298#239—62no—
299#239—62no—
300#235—62no—
301#235—62no—
302C2×D12—31no—
303C2×D12—31no—
304C2×D12—61no—
305C2×D12—61no—
306C2×C4×D3—21no—
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—121no—
314C2×C4×D3C22×D311yescharacteristic
315C2×Dic6—31no—
316C2×Dic6—31no—
317C2×Dic6—61no—
318C2×Dic6—61no—
319C2×Dic6—61no—
320C2×Dic6C22×D311yescharacteristic
321C3×SD16—62no—
322C2×C3×C8—21no—
323C2×C3×C8—31no—
324C2×C3×C8—31no—
325C2×C3×C8C22×D311yescharacteristic
326C2×C3×C8C22×D311yescharacteristic
327C3×C4⋊C4—21no—
328C3×C4⋊C4—31no—
329C3×C4⋊C4—31no—
330C3×C4⋊C4—31no—
331C3×C4⋊C4—61no—
332C3×C4⋊C4—61no—
333C3×C4⋊C4C22×D311yescharacteristic
334C3×C4⋊C4C22×D311yescharacteristic
335C3×C22⋊C4—61no—
336C3×C22⋊C4—61no—
337C3×C42—31no—
338C3×C42—61no—
339#217—21no—
340#217—21no—
341#217—31no—
342#217—31no—
343#217—61no—
344#217—61no—
345#217—61no—
346#217—61no—
347#217—61no—
348#217—121no—
349#217—121no—
350#216—62no—
351#214—22no—
352#213—62no—
353#213—62no—
354#213—122no—
355(C2×D3)⋊C4—31no—
356(C2×D3)⋊C4—31no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—121no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3C22×D311yescharacteristic
368C4⋊Dic3C22×D311yescharacteristic
369C4⋊Dic3C22×D311yescharacteristic
370Dic3⋊C4—21no—
371Dic3⋊C4—21no—
372Dic3⋊C4—31no—
373Dic3⋊C4—31no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380C4×Dic3—21no—
381C4×Dic3—31no—
382C4×Dic3—31no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3C22×D311yescharacteristic
389C2×C3⋊C8—31no—
390C2×C3⋊C8—31no—
391C2×C3⋊C8—61no—
392C2×C3⋊C8C22×D311yescharacteristic
393C2×C3⋊C8C22×D311yescharacteristic
394Dic12—62no—
395#204—62no—
396#204—62no—
397#204—122no—
398C22×C32—41no—
399C22×C32—41no—
400C22×C32—41no—
401C22×C32C22×D411yescharacteristic
402C2×C3⋊D3—22no—
403C2×C3⋊D3—41no—
404C2×C3⋊D3—41no—
405C2×C3×D3—21no—
406C2×C3×D3—21no—
407C2×C3×D3—21no—
408C32×C4—41no—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—21no—
412C3⋊Dic3—21no—
413C3⋊Dic3—41no—
414C3×Dic3—21no—
415C3×Dic3—22no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C3×Dic3—41no—
421C2×#41—91no—
422C2×Q16—91no—
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—91no—
432C22⋊Q8—181no—
433#121—31no—
434C4×Q8—31no—
435C4×Q8—91no—
436C4×Q8—91no—
437C4×D4—31no—
438C4×D4—91no—
439C4×D4—91no—
440C4×D4—181no—
441C4×D4—181no—
442#117—91no—
443#117—181no—
444C2×C4⋊C4—31no—
445C2×C4⋊C4—181no—
446#107—31no—
447#107—31no—
448#107—31no—
449#107—91no—
450C4⋊C8—91no—
451C4⋊C8—91no—
452#103—31no—
453#103—91no—
454#103—91no—
455#103—91no—
456#102—31no—
457#102—91no—
458#102—91no—
459#102D3211yescharacteristic
460C22⋊C8—31no—
461C22⋊C8—91no—
462#97—31no—
463C4×C8—91no—
464C23×C3—21no—
465C23×C3—21no—
466C23×C3—31no—
467C23×C3—41no—
468C22×D3—61no—
469C22×D3—61no—
470C22×D3—121no—
471C22×D3D3×D411yescharacteristic
472C3×Q8—32no—
473C3×Q8—61no—
474C3×D4—21no—
475C3×D4—21no—
476C3×D4—21no—
477C3×D4—21no—
478C3×D4—41no—
479C3×D4—41no—
480C3×D4—241no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
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—61no—
491C2×C3×C4—61no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4—241no—
495C2×C3×C4—241no—
496C2×C3×C4C23×D311yescharacteristic
497C2×C3×C4C23×D311yescharacteristic
498#67—64no—
499#67—81no—
500C2×Dic3—21no—
501C2×Dic3—21no—
502C2×Dic3—21no—
503C2×Dic3—21no—
504C2×Dic3—31no—
505C2×Dic3—31no—
506C2×Dic3—31no—
507C2×Dic3—31no—
508C2×Dic3—61no—
509C2×Dic3—61no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—81no—
513C2×Dic3—121no—
514C2×Dic3D3×D411yescharacteristic
515C2×Dic3D3×D411yescharacteristic
516C2×Dic3D3×D411yescharacteristic
517D12—32no—
518D12—32no—
519D12—62no—
520D12—64no—
521D12—61no—
522D12—61no—
523D12—121no—
524C4×D3—21no—
525C4×D3—21no—
526C4×D3—64no—
527C4×D3—64no—
528C4×D3—81no—
529C4×D3—241no—
530C4×D3—241no—
531C4×D3—241no—
532C4×D3—241no—
533C4×D3—242no—
534Dic6—21no—
535Dic6—61no—
536Dic6—61no—
537Dic6—61no—
538Dic6—61no—
539Dic6—121no—
540Dic6—121no—
541Dic6—241no—
542Dic6—241no—
543Dic6#23512yes—
544C3×C8—21no—
545C3×C8—21no—
546C3×C8—41no—
547C3×C8—61no—
548C3×C8—61no—
549C3⋊C8—21no—
550C3⋊C8—21no—
551C3⋊C8—61no—
552C3⋊C8—61no—
553C3⋊C8—121no—
554C2×C32—81no—
555C2×C32#52511yescharacteristic
556C2×C32#57611yescharacteristic
557C2×C32#57811yescharacteristic
558C3⋊D3—42no—
559C3×D3—41no—
560#41—182no—
561#41—182no—
562C2×Q8—31no—
563C2×Q8—91no—
564C2×Q8—181no—
565C2×D4—61no—
566C2×D4—91no—
567C2×D4—181no—
568C2×D4C2×D3211yescharacteristic
569C22×C4—31no—
570C22×C4—61no—
571C22×C4—61no—
572C22×C4—181no—
573C22×C4—181no—
574C22×C4—181no—
575Q16—182no—
576SD16—62no—
577SD16—182no—
578D8—182no—
579C2×C8—31no—
580C2×C8—31no—
581C2×C8—91no—
582C2×C8C2×D3211yescharacteristic
583C4⋊C4—31no—
584C4⋊C4—31no—
585C4⋊C4—31no—
586C4⋊C4—61no—
587C4⋊C4—61no—
588C4⋊C4—91no—
589C4⋊C4—91no—
590C4⋊C4—181no—
591C4⋊C4—181no—
592C4⋊C4—181no—
593C4⋊C4—181no—
594C4⋊C4C2×D3211yescharacteristic
595C22⋊C4—61no—
596C22⋊C4—61no—
597C22⋊C4—91no—
598C22⋊C4—91no—
599C22⋊C4—181no—
600C22⋊C4—181no—
601C22⋊C4—181no—
602C22⋊C4—181no—
603C22⋊C4—181no—
604C42—31no—
605C42—61no—
606C42—91no—
607C42—181no—
608C42—181no—
609C22×C3—21no—
610C22×C3—41no—
611C22×C3—41no—
612C22×C3—41no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3—41no—
616C22×C3—61no—
617C22×C3—61no—
618C22×C3—61no—
619C22×C3—81no—
620C22×C3—81no—
621C22×C3—81no—
622C22×C3C2×D3×D411yescharacteristic
623C22×C3C2×D3×D411yescharacteristic
624C2×D3—21no—
625C2×D3—21no—
626C2×D3—21no—
627C2×D3—62no—
628C2×D3—62no—
629C2×D3—122no—
630C2×D3—121no—
631C2×D3—121no—
632C2×D3—121no—
633C2×D3—121no—
634C2×D3—241no—
635C2×D3—241no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—62no—
641C3×C4—61no—
642C3×C4—61no—
643C3×C4—61no—
644C3×C4—81no—
645C3×C4—121no—
646C3×C4—121no—
647C3×C4—121no—
648C3×C4C2×#23511yescharacteristic
649C3×C4D3×#4111yescharacteristic
650C3×C4D3×#4111yescharacteristic
651C3×C4D3×#4111yescharacteristic
652Dic3—21no—
653Dic3—21no—
654Dic3—21no—
655Dic3—22no—
656Dic3—41no—
657Dic3—41no—
658Dic3—41no—
659Dic3—61no—
660Dic3—61no—
661Dic3—61no—
662Dic3—61no—
663Dic3—121no—
664Dic3—121no—
665Dic3—121no—
666Dic3—121no—
667Dic3—241no—
668C32#312411yescharacteristic, complemented, Sylow
669C23—21no—
670C23—31no—
671C23—181no—
672Q8—32no—
673Q8—61no—
674Q8—181no—
675Q8—181no—
676Q8—721no—
677D4—21no—
678D4—21no—
679D4—92no—
680D4—184no—
681D4—181no—
682D4—241no—
683C2×C4—21no—
684C2×C4—31no—
685C2×C4—31no—
686C2×C4—31no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—91no—
694C2×C4—91no—
695C2×C4—184no—
696C2×C4—181no—
697C2×C4—241no—
698C2×C4—241no—
699C2×C4—721no—
700C2×C4—721no—
701C2×C4C22×D3211yescharacteristic
702C8—21no—
703C8—61no—
704C8—61no—
705C8—181no—
706C2×C3—21no—
707C2×C3—21no—
708C2×C3—21no—
709C2×C3—81no—
710C2×C3—81no—
711C2×C3—121no—
712C2×C3—161no—
713C2×C3#554711yescharacteristic
714C2×C3#565611yescharacteristic
715C2×C3#575711yescharacteristic
716C2×C3#577411yescharacteristic
717C2×C3#577911yescharacteristic
718C2×C3#577911yescharacteristic
719D3—41no—
720D3—122no—
721D3—122no—
722D3—242no—
723C22—41no—
724C22—41no—
725C22—41no—
726C22—61no—
727C22—61no—
728C22—61no—
729C22—182no—
730C22—361no—
731C22—361no—
732C22D32×D411yescharacteristic
733C4—41no—
734C4—61no—
735C4—61no—
736C4—61no—
737C4—62no—
738C4—121no—
739C4—121no—
740C4—121no—
741C4—181no—
742C4—181no—
743C4—361no—
744C4D3×#23511yescharacteristic
745C4#6431211yescharacteristic
746C3—21no—
747C3#7981311yescharacteristic, complemented
748C3#8127311yescharacteristic, complemented
749C2—81no—
750C2—121no—
751C2—362no—
752C2#1059426611yescharacteristic
753C2#1059473211yescharacteristic
754C2#1059475211yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#102C22
socleC22×C32C22×D4
prime radical#10591521C2
hypercenter#102D32
hypocenterC32#3124
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #102

Complements

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

NH ≅ G/Ntype
1. #10595124C2semidirect
2. #10594327C2semidirect
3. #10592486C2semidirect
4. C3×#4774C2semidirect
5. C3×#4757C2semidirect
7. #10591443C2semidirect
8. #10591400C2semidirect
9. #10590970C2semidirect
10. #10590817C2semidirect
11. #10590773C2semidirect
12. #10590697C2semidirect
13. #10590481C2semidirect
14. #10590430C2semidirect
15. #10590427C2semidirect
84. #4774D3semidirect
86. #4757D3semidirect
668. C32#3124semidirect
747. C3#79813semidirect
748. C3#81273semidirect

Maximal subgroups

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

subgroupindex
#105951242
#105943272
#105924862
C3×#47742
C3×#47572
#105915212
#105914432
#105914002
#105909702
#105908172
#105907732
#105906972
#105904812
#105904302
#105904272
#812733
#798133