Finite Group Databasebeta

← #10770751

Subgroups — #10770751

Order 768.

906 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3560C211yesmaximal, characteristic
2#83270C211yesmaximal, characteristic, complemented
3#83123C211yesmaximal, characteristic, complemented
4#83103C211yesmaximal, characteristic, complemented
5#71886C212yesmaximal, complemented
6#71882C212yesmaximal, complemented
7#71874C212yesmaximal, complemented
8#71843C212yesmaximal, complemented
9#71813C211yesmaximal, characteristic, complemented
10#71757C211yesmaximal, characteristic, complemented
11#71745C211yesmaximal, characteristic, complemented
12#18470—31nomaximal, Sylow
13C3×#563—21no—
14C3×#560—21no—
15C3×#553—21no—
16C3×#553—21no—
17C3×#551—21no—
18C3×#547—21no—
19C3×#546—21no—
20C3×#546—21no—
21C3×#542—21no—
22C3×#539—21no—
23C3×#539C2211yescharacteristic
24C3×#538—21no—
25C3×#538—21no—
26C3×#538C2211yescharacteristic
27C3×#537C2211yescharacteristic
28C3×#534C2211yescharacteristic
29C3×#532C2211yescharacteristic
30C3×#529C2211yescharacteristic
31C2×C3×#126C2211yescharacteristic
32C2×#869C2211yescharacteristic, complemented
33#5078—21no—
34#5070—21no—
35#5064—21no—
36#5055—21no—
37#5043C2212yescomplemented
38#5033C2212yes—
39#5033C2212yes—
40#5033C2212yescomplemented
41#5021—21no—
42#5008—21no—
43#5007—21no—
44#5007—21no—
45#4986—21no—
46#4981C2212yescomplemented
47#4979—21no—
48#4953C2212yes—
49#4949—21no—
50#4947—21no—
51#4937C2211yescharacteristic, complemented
52#4926C2211yescharacteristic, complemented
53#4925C2211yescharacteristic, complemented
54#4538C2212yescomplemented
55#4537C2212yes—
56#4537C2212yes—
57#4537C2212yescomplemented
58#4528C2212yescomplemented
59#4525C2212yes—
60#3560D311yescharacteristic
61#3238—31no—
62#3226—31no—
63#2821—31no—
64#1612—32no—
65#1610—32no—
66#1609—32no—
67#1607—32no—
68#1521—31no—
69#1514—31no—
70#1473—31no—
71C2×C3×#41—21no—
72C2×C3×#41—21no—
73C22×C3×D4—21no—
74C22×Dic6—21no—
75C3×C4⋊Q8—21no—
76C3×C4⋊Q8D411yescharacteristic
77C3×#127D411yescharacteristic
78C3×#126—21no—
79C3×#126—21no—
80C3×#126—21no—
81C3×#126—21no—
82C3×#126—21no—
83C3×#126—21no—
84C3×#126—21no—
85C3×#126—21no—
86C3×#126—21no—
87C3×#125—21no—
88C3×#125—21no—
89C3×#125D411yescharacteristic
90C3×#124—21no—
91C3×#124—21no—
92C3×#124—21no—
93C3×#124—21no—
94C3×#124D411yescharacteristic
95C3×#123—21no—
96C3×#123—21no—
97C3×#123—21no—
98C3×#123—21no—
99C3×#123—21no—
100C3×#123—21no—
101C3×#123—21no—
102C3×#123—21no—
103C3×#123—21no—
104C3×#123—21no—
105C3×#123—21no—
106C3×#123—21no—
107C3×C22⋊Q8—21no—
108C3×C22⋊Q8—21no—
109C3×C22⋊Q8—21no—
110C3×C22⋊Q8—21no—
111C3×C22⋊Q8—21no—
112C3×C22⋊Q8—21no—
113C3×C22⋊Q8—21no—
114C3×C22⋊Q8C2311yescharacteristic
115C3×#121—21no—
116C3×#121—21no—
117C3×#121—21no—
118C3×#121—21no—
119C3×#121—21no—
120C3×#121—21no—
121C3×#121—21no—
122C3×#121—21no—
123C3×#121—21no—
124C3×#121—21no—
125C3×#121—21no—
126C3×#121—21no—
127C3×#121C2311yescharacteristic
128C3×#121C2311yescharacteristic
129C3×#121C2311yescharacteristic
130C3×#120—21no—
131C3×#120—21no—
132C3×#120—21no—
133C3×#120—21no—
134C3×#120—21no—
135C3×C4×Q8D411yescharacteristic
136C3×C4×D4—21no—
137C3×C4×D4—21no—
138C3×C4×D4—21no—
139C3×C4×D4—21no—
140C3×C4×D4—21no—
141C3×C4×D4—21no—
142C3×C4×D4—21no—
143C3×C4×D4—21no—
144C3×C4×D4D411yescharacteristic
145C3×C4×D4D411yescharacteristic
146C3×C4×D4D411yescharacteristic
147C3×#117—21no—
148C3×#117—21no—
149C2×C3×C4⋊C4—21no—
150C2×C3×C4⋊C4D411yescharacteristic
151C2×C3×C4⋊C4D411yescharacteristic
152C2×C3×C4⋊C4C2311yescharacteristic
153C2×C3×C22⋊C4—21no—
154C2×C3×C22⋊C4—21no—
155C2×C3×C22⋊C4D411yescharacteristic
156C2×C3×C22⋊C4D411yescharacteristic
157C2×C3×C22⋊C4C2311yescharacteristic
158C2×C3×C42C2311yescharacteristic
159C2×#217—22no—
160C2×C4⋊Dic3—21no—
161C2×C4⋊Dic3C2312yes—
162C2×Dic3⋊C4—22no—
163#869—21no—
164#869—21no—
165#869—21no—
166#869—21no—
167#835—22no—
168#832—22no—
169#832—22no—
170#832—22no—
171C3⋊#95—21no—
172C3⋊#95—21no—
173C3⋊#95—22no—
174C3⋊#95—22no—
175C3⋊#95C2312yes—
176#830C2312yes—
177#830C2312yes—
178#808—22no—
179#807—22no—
180#807—22no—
181#807—22no—
182C4⋊(C3⋊C8)—21no—
183C4⋊(C3⋊C8)—21no—
184#803—21no—
185C4×C3⋊C8—21no—
186#563—21no—
187#560—21no—
188#553—21no—
189#553—21no—
190#551—21no—
191#547—21no—
192#546—21no—
193#546—21no—
194#542—21no—
195#539—21no—
196#539C2×D311yescharacteristic
197#538—21no—
198#538—21no—
199#538C2×D311yescharacteristic
200#537C2×D311yescharacteristic
201#534C2×D311yescharacteristic
202#532C2×D311yescharacteristic
203C2×C4⋊Q8—31no—
204#529C2×D311yescharacteristic
205C2×#126C2×D311yescharacteristic
206#501—61no—
207#500—61no—
208#489—61no—
209#486—61no—
210#483—32no—
211#480—32no—
212#480—32no—
213#480—32no—
214#477—61no—
215#476—61no—
216#474—61no—
217#474—61no—
218#432—31no—
219#431—31no—
220#400—61no—
221#399—61no—
222#398—32no—
223#397—32no—
224#395—61no—
225#393—61no—
226#383—31no—
227#328—32no—
228#327—32no—
229#327—32no—
230#327—32no—
231#324—32no—
232#323—32no—
233C24×C3—21no—
234C24×C3C2×D411yescharacteristic
235C3×#41—82no—
236C3×#41—82no—
237C2×C3×Q8—21no—
238C2×C3×Q8—21no—
239C2×C3×Q8C2×D411yescharacteristic
240C2×C3×D4—21no—
241C2×C3×D4—21no—
242C2×C3×D4—21no—
243C2×C3×D4—21no—
244C2×C3×D4—21no—
245C2×C3×D4—21no—
246C2×C3×D4—21no—
247C2×C3×D4—21no—
248C2×C3×D4—21no—
249C2×C3×D4—21no—
250C2×C3×D4—21no—
251C2×C3×D4—21no—
252C2×C3×D4—82no—
253C2×C3×D4C2×D411yescharacteristic
254C2×C3×D4C2×D411yescharacteristic
255C2×C3×D4C2×D411yescharacteristic
256C22×C3×C4—21no—
257C22×C3×C4—21no—
258C22×C3×C4—21no—
259C22×C3×C4—21no—
260C22×C3×C4—21no—
261C22×C3×C4—21no—
262C22×C3×C4—21no—
263C22×C3×C4—21no—
264C22×C3×C4C2×D411yescharacteristic
265C22×C3×C4C2×D411yescharacteristic
266C22×C3×C4C2×D411yescharacteristic
267C22×C3×C4C2×D411yescharacteristic
268C22×C3×C4C2×D411yescharacteristic
269C22×C3×C4C2411yescharacteristic
270C22×Dic3—22no—
271C22×Dic3—22no—
272C2×Dic6—41no—
273C2×Dic6—41no—
274C2×Dic6—82no—
275C3×C4⋊C4—21no—
276C3×C4⋊C4—21no—
277C3×C4⋊C4—21no—
278C3×C4⋊C4—21no—
279C3×C4⋊C4—21no—
280C3×C4⋊C4—21no—
281C3×C4⋊C4—21no—
282C3×C4⋊C4—21no—
283C3×C4⋊C4—21no—
284C3×C4⋊C4—21no—
285C3×C4⋊C4—21no—
286C3×C4⋊C4—21no—
287C3×C4⋊C4—21no—
288C3×C4⋊C4—21no—
289C3×C4⋊C4—21no—
290C3×C4⋊C4—21no—
291C3×C4⋊C4—21no—
292C3×C4⋊C4C2×D411yescharacteristic
293C3×C4⋊C4C2×D411yescharacteristic
294C3×C4⋊C4C2×D411yescharacteristic
295C3×C4⋊C4C2×D411yescharacteristic
296C3×C22⋊C4—21no—
297C3×C22⋊C4—21no—
298C3×C22⋊C4—21no—
299C3×C22⋊C4—21no—
300C3×C22⋊C4—21no—
301C3×C22⋊C4—21no—
302C3×C22⋊C4—21no—
303C3×C22⋊C4—21no—
304C3×C22⋊C4—21no—
305C3×C22⋊C4—21no—
306C3×C22⋊C4—21no—
307C3×C22⋊C4—21no—
308C3×C22⋊C4—21no—
309C3×C22⋊C4—21no—
310C3×C22⋊C4—21no—
311C3×C22⋊C4—21no—
312C3×C22⋊C4—21no—
313C3×C22⋊C4—21no—
314C3×C22⋊C4—21no—
315C3×C22⋊C4—21no—
316C3×C22⋊C4—21no—
317C3×C22⋊C4—21no—
318C3×C22⋊C4—21no—
319C3×C22⋊C4—21no—
320C3×C22⋊C4—21no—
321C3×C42—21no—
322C3×C42—21no—
323C3×C42—21no—
324C3×C42C2×D411yescharacteristic
325C3×C42C2×D411yescharacteristic
326C3×C42C2×D411yescharacteristic
327C3×C42C2×D411yescharacteristic
328#217—82no—
329C4⋊Dic3—22no—
330C4⋊Dic3—22no—
331C4⋊Dic3—41no—
332C4⋊Dic3—41no—
333Dic3⋊C4—82no—
334C2×C3⋊C8—22no—
335C2×C3⋊C8—22no—
336C2×#41—21no—
337C2×#41—21no—
338C22×Q8—61no—
339C22×D4—21no—
340C4⋊Q8—21no—
341C4⋊Q8—61no—
342C4⋊Q8—61no—
343C4⋊Q8—61no—
344C4⋊Q8—61no—
345C4⋊Q8#6711yescharacteristic
346#127#6711yescharacteristic
347#126—21no—
348#126—21no—
349#126—21no—
350#126—21no—
351#126—21no—
352#126—21no—
353#126—21no—
354#126—21no—
355#126—21no—
356#125—21no—
357#125—21no—
358#125#6711yescharacteristic
359#124—21no—
360#124—21no—
361#124—21no—
362#124—21no—
363#124#6711yescharacteristic
364#123—21no—
365#123—21no—
366#123—21no—
367#123—21no—
368#123—21no—
369#123—21no—
370#123—21no—
371#123—21no—
372#123—21no—
373#123—21no—
374#123—21no—
375#123—21no—
376C22⋊Q8—21no—
377C22⋊Q8—21no—
378C22⋊Q8—21no—
379C22⋊Q8—21no—
380C22⋊Q8—21no—
381C22⋊Q8—21no—
382C22⋊Q8—21no—
383C22⋊Q8C22×D311yescharacteristic
384#121—21no—
385#121—21no—
386#121—21no—
387#121—21no—
388#121—21no—
389#121—21no—
390#121—21no—
391#121—21no—
392#121—21no—
393#121—21no—
394#121—21no—
395#121—21no—
396#121C22×D311yescharacteristic
397#121C22×D311yescharacteristic
398#121C22×D311yescharacteristic
399#120—21no—
400#120—21no—
401#120—21no—
402#120—21no—
403#120—21no—
404C4×Q8#6711yescharacteristic
405C4×D4—21no—
406C4×D4—21no—
407C4×D4—21no—
408C4×D4—21no—
409C4×D4—21no—
410C4×D4—21no—
411C4×D4—21no—
412C4×D4—21no—
413C4×D4#6711yescharacteristic
414C4×D4#6711yescharacteristic
415C4×D4#6711yescharacteristic
416#117—21no—
417#117—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—32no—
420C2×C4⋊C4—61no—
421C2×C4⋊C4—62no—
422C2×C4⋊C4#6711yescharacteristic
423C2×C4⋊C4#6711yescharacteristic
424C2×C4⋊C4C22×D311yescharacteristic
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—62no—
428C2×C22⋊C4#6711yescharacteristic
429C2×C22⋊C4#6711yescharacteristic
430C2×C22⋊C4C22×D311yescharacteristic
431C2×C42C22×D311yescharacteristic
432#107—62no—
433#107—62no—
434#107—62no—
435#106—62no—
436C4⋊C8—61no—
437C4⋊C8—61no—
438#103—62no—
439#102—62no—
440#102—62no—
441#102—62no—
442C22⋊C8—32no—
443C22⋊C8—32no—
444#97—61no—
445C4×C8—61no—
446#95—32no—
447#95—61no—
448#95—61no—
449#95—62no—
450#95—62no—
451C23×C3—21no—
452C23×C3—21no—
453C23×C3—21no—
454C23×C3—21no—
455C23×C3—22no—
456C23×C3—41no—
457C23×C3—41no—
458C23×C3—81no—
459C23×C3—81no—
460C23×C3—81no—
461C23×C3C22×D411yescharacteristic
462C3×Q8—41no—
463C3×Q8—81no—
464C3×Q8—81no—
465C3×D4—41no—
466C3×D4—41no—
467C3×D4—41no—
468C3×D4—42no—
469C3×D4—42no—
470C3×D4—42no—
471C3×D4—81no—
472C3×D4—81no—
473C3×D4—81no—
474C3×D4—81no—
475C3×D4—81no—
476C3×D4—81no—
477C3×D4—81no—
478C3×D4—81no—
479C3×D4—81no—
480C2×C3×C4—22no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—22no—
490C2×C3×C4—41no—
491C2×C3×C4—41no—
492C2×C3×C4—41no—
493C2×C3×C4—41no—
494C2×C3×C4—81no—
495C2×C3×C4—81no—
496C2×C3×C4—81no—
497C2×C3×C4—81no—
498C2×C3×C4—81no—
499C2×C3×C4—81no—
500C2×C3×C4—81no—
501C2×C3×C4—81no—
502C2×C3×C4#12011yescharacteristic
503C2×C3×C4#12011yescharacteristic
504C2×C3×C4#12011yescharacteristic
505C2×C3×C4#12011yescharacteristic
506C2×C3×C4C22×D411yescharacteristic
507C2×C3×C4C22×D411yescharacteristic
508C2×Dic3—42no—
509C2×Dic3—42no—
510C2×Dic3—42no—
511C2×Dic3—42no—
512C2×Dic3—42no—
513C2×Dic3—42no—
514Dic6—82no—
515Dic6—82no—
516C3⋊C8—42no—
517C3⋊C8—42no—
518C24—21no—
519C24C2×#6711yescharacteristic
520#41—82no—
521#41—82no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—121no—
525C2×Q8—121no—
526C2×Q8—242no—
527C2×Q8C2×#6711yescharacteristic
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—82no—
541C2×D4C2×#6711yescharacteristic
542C2×D4C2×#6711yescharacteristic
543C2×D4C2×#6711yescharacteristic
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—62no—
553C22×C4—62no—
554C22×C4C2×#6711yescharacteristic
555C22×C4C2×#6711yescharacteristic
556C22×C4C2×#6711yescharacteristic
557C22×C4C2×#6711yescharacteristic
558C22×C4C2×#6711yescharacteristic
559C22×C4C23×D311yescharacteristic
560C2×C8—62no—
561C2×C8—62no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—62no—
580C4⋊C4—62no—
581C4⋊C4—121no—
582C4⋊C4—121no—
583C4⋊C4—242no—
584C4⋊C4C2×#6711yescharacteristic
585C4⋊C4C2×#6711yescharacteristic
586C4⋊C4C2×#6711yescharacteristic
587C4⋊C4C2×#6711yescharacteristic
588C22⋊C4—21no—
589C22⋊C4—21no—
590C22⋊C4—21no—
591C22⋊C4—21no—
592C22⋊C4—21no—
593C22⋊C4—21no—
594C22⋊C4—21no—
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—21no—
598C22⋊C4—21no—
599C22⋊C4—21no—
600C22⋊C4—21no—
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—21no—
604C22⋊C4—21no—
605C22⋊C4—21no—
606C22⋊C4—21no—
607C22⋊C4—21no—
608C22⋊C4—21no—
609C22⋊C4—21no—
610C22⋊C4—21no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—242no—
614C42—21no—
615C42—21no—
616C42—21no—
617C42C2×#6711yescharacteristic
618C42C2×#6711yescharacteristic
619C42C2×#6711yescharacteristic
620C42C2×#6711yescharacteristic
621C22×C3—21no—
622C22×C3—21no—
623C22×C3—41no—
624C22×C3—41no—
625C22×C3—41no—
626C22×C3—41no—
627C22×C3—41no—
628C22×C3—41no—
629C22×C3—41no—
630C22×C3—41no—
631C22×C3—41no—
632C22×C3—41no—
633C22×C3—41no—
634C22×C3—41no—
635C22×C3—82no—
636C22×C3—162no—
637C22×C3C2×#12011yescharacteristic
638C22×C3#57612yes—
639C3×C4—21no—
640C3×C4—21no—
641C3×C4—21no—
642C3×C4—21no—
643C3×C4—21no—
644C3×C4—21no—
645C3×C4—41no—
646C3×C4—41no—
647C3×C4—41no—
648C3×C4—41no—
649C3×C4—41no—
650C3×C4—41no—
651C3×C4—41no—
652C3×C4—41no—
653Dic3—82no—
654Dic3—82no—
655C23—21no—
656C23—21no—
657C23—21no—
658C23—21no—
659C23—22no—
660C23—41no—
661C23—41no—
662C23—81no—
663C23—81no—
664C23—81no—
665C23C22×#6711yescharacteristic
666Q8—41no—
667Q8—81no—
668Q8—81no—
669Q8—242no—
670Q8—242no—
671D4—41no—
672D4—41no—
673D4—41no—
674D4—42no—
675D4—42no—
676D4—42no—
677D4—81no—
678D4—81no—
679D4—81no—
680D4—81no—
681D4—81no—
682D4—81no—
683D4—81no—
684D4—81no—
685D4—81no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—81no—
701C2×C4—81no—
702C2×C4—81no—
703C2×C4—81no—
704C2×C4—81no—
705C2×C4—81no—
706C2×C4—81no—
707C2×C4—81no—
708C2×C4—122no—
709C2×C4—122no—
710C2×C4—122no—
711C2×C4—122no—
712C2×C4—122no—
713C2×C4—122no—
714C2×C4#95311yescharacteristic
715C2×C4#95311yescharacteristic
716C2×C4#95311yescharacteristic
717C2×C4#95311yescharacteristic
718C2×C4C22×#6711yescharacteristic
719C2×C4C22×#6711yescharacteristic
720C8—122no—
721C8—122no—
722C2×C3—22no—
723C2×C3—81no—
724C2×C3—81no—
725C2×C3—81no—
726C2×C3—81no—
727C2×C3#300811yescharacteristic
728C2×C3#302211yescharacteristic
729C2×C3#302811yescharacteristic
730C22—21no—
731C22—21no—
732C22—41no—
733C22—41no—
734C22—41no—
735C22—41no—
736C22—41no—
737C22—41no—
738C22—41no—
739C22—41no—
740C22—41no—
741C22—41no—
742C22—41no—
743C22—41no—
744C22—82no—
745C22—162no—
746C22#583512yes—
747C22C2×#95311yescharacteristic
748C4—21no—
749C4—21no—
750C4—21no—
751C4—21no—
752C4—21no—
753C4—21no—
754C4—41no—
755C4—41no—
756C4—41no—
757C4—41no—
758C4—41no—
759C4—41no—
760C4—41no—
761C4—41no—
762C4—242no—
763C4—242no—
764C3#1847011yescharacteristic, complemented, Sylow
765C2—22no—
766C2—81no—
767C2—81no—
768C2—81no—
769C2—81no—
770C2#8410111yescharacteristic
771C2#8412311yescharacteristic
772C2#8412411yescharacteristic
subgroupG/H
centerC22C2×#953
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
Fitting, prime radicalC3×#3560C2
socleC22×C3C2×#120
hypercenter#3560D3
hypocenterC3#18470
LCSG ▷ C22×C3×C4 ▷ C22×C3 ▷ C3
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3560

Complements

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

NH ≅ G/Ntype
2. #83270C2semidirect
3. #83123C2semidirect
4. #83103C2semidirect
5. #71886C2semidirect
6. #71882C2semidirect
7. #71874C2semidirect
8. #71843C2semidirect
9. #71813C2semidirect
10. #71757C2semidirect
11. #71745C2semidirect
32. C2×#869C22semidirect
37. #5043C22semidirect
40. #5033C22semidirect
46. #4981C22semidirect
51. #4937C22semidirect
52. #4926C22semidirect
53. #4925C22semidirect
54. #4538C22semidirect
57. #4537C22semidirect
58. #4528C22semidirect
764. C3#18470semidirect

Maximal subgroups

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

subgroupindex
C3×#35602
#832702
#831232
#831032
#718862
#718822
#718742
#718432
#718132
#717572
#717452
#184703