Finite Group Databasebeta

← #10983011

Subgroups — #10983011

Order 768.

1608 conjugacy classes of subgroups.

The subgroup lattice has 762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2633C211yesmaximal, characteristic
2#83039C211yesmaximal, characteristic, complemented
3#83026C211yesmaximal, characteristic, complemented
4#82348C211yesmaximal, characteristic
5#82317C211yesmaximal, characteristic
6#78046C212yesmaximal, complemented
7#78032C212yesmaximal, complemented
8#77777C212yesmaximal, complemented
9#77774C212yesmaximal, complemented
10#77503C212yesmaximal, complemented
11#77491C212yesmaximal, complemented
12#76983C212yesmaximal
13#76892C212yesmaximal
14#74469C212yesmaximal, complemented
15#74467C212yesmaximal, complemented
16#74399C212yesmaximal, complemented
17#74392C212yesmaximal, complemented
18#74275C211yesmaximal, characteristic, complemented
19#74264C211yesmaximal, characteristic, complemented
20#35760—31nomaximal, Sylow
21C2×C3×#125C2211yescharacteristic
22C2×C3×C4×D4C2211yescharacteristic
23C2×D4×Dic3C2212yes—
24C2×#878C2212yes—
25C2×#877C2212yes—
26C2×C4×Dic6C2211yescharacteristic
27C3×#399C2212yes—
28C3×#398C2212yes—
29C3×#397C2212yes—
30C3×#394C2212yes—
31C3×#385C2212yes—
32C3×#385C2212yes—
33C3×#383C2211yescharacteristic
34#5222C2211yescharacteristic
35#5222C2211yescharacteristic
36C4×#217C2212yes—
37C4×#217C2212yes—
38C4×#217C2212yes—
39C2×C3⋊#95C2212yes—
40#4985C2211yescharacteristic
41#4985C2211yescharacteristic
42#4982C2212yes—
43#4982C2212yes—
44#4980C2212yes—
45#4980C2212yes—
46#4980C2212yes—
47#4980C2212yes—
48#4980C2212yes—
49#4980C2212yes—
50#4978C2212yes—
51#4978C2212yes—
52#4978C2212yes—
53#4978C2212yes—
54#4978C2212yes—
55#4978C2212yes—
56#4977C2211yescharacteristic
57#4977C2212yes—
58#4975C2211yescharacteristic
59Dic3×C4⋊C4C2212yes—
60Dic3×C4⋊C4C2212yes—
61Dic3×C4⋊C4C2212yes—
62#4973C2211yescharacteristic
63#4973C2211yescharacteristic
64#4973C2212yes—
65#4953C2212yes—
66#4953C2212yes—
67#4953C2212yes—
68#4952C2212yes—
69#4952C2212yes—
70#4952C2212yes—
71#4952C2212yes—
72#4950C2212yes—
73#4949C2212yes—
74#4947C2212yes—
75#4947C2212yes—
76#4946C2212yes—
77#4943C2212yes—
78Dic3×C22⋊C4C2212yes—
79Dic3×C22⋊C4C2212yes—
80Dic3×C22⋊C4C2212yes—
81Dic3×C22⋊C4C2212yes—
82Dic3×C22⋊C4C2212yes—
83C4×C4⋊Dic3C2211yescharacteristic
84#4932C2211yescharacteristic
85#4932C2211yescharacteristic
86#4660C2212yes—
87#4656C2212yes—
88#4655C2212yes—
89#4655C2212yes—
90#4655C2212yes—
91#4654C2212yes—
92#4654C2212yes—
93#4653C2212yes—
94#4652C2212yes—
95#4652C2212yes—
96#4651C2211yescharacteristic
97#4651C2212yes—
98#4651C2212yes—
99#4650C2211yescharacteristic
100#4650C2212yes—
101#4649C2212yes—
102#4649C2211yescharacteristic
103#4648C2211yescharacteristic
104#4646C2212yes—
105#4646C2212yes—
106#4646C2212yes—
107#4646C2212yes—
108#2638—32no—
109#2633D311yescharacteristic
110#2607—32no—
111#2605—31no—
112#2565—31no—
113#2524—32no—
114#2523—32no—
115#2523—32no—
116#2520—32no—
117#2517—32no—
118#2517—32no—
119#2499—32no—
120#2398—31no—
121#2395—32no—
122#2371—31no—
123#2368—32no—
124#2356—31no—
125#2343—32no—
126#2275—31no—
127C22×C3×D4C2311yescharacteristic
128C23×C3×C4C2312yes—
129C23×Dic3C2312yes—
130C23×Dic3C2312yes—
131C22×Dic6C2311yescharacteristic
132C22×Dic6C2312yes—
133C3×#125—24no—
134C3×C4×D4—24no—
135C2×C3×C4⋊C4C2311yescharacteristic
136C2×C3×C4⋊C4C2311yescharacteristic
137C2×C3×C4⋊C4C2311yescharacteristic
138C2×C3×C4⋊C4C2312yes—
139C2×C3×C4⋊C4C2312yes—
140C2×C3×C4⋊C4C2312yes—
141C2×C3×C4⋊C4C2312yes—
142C2×C3×C22⋊C4C2312yes—
143C2×C3×C22⋊C4C2312yes—
144C2×C3×C22⋊C4C2312yes—
145C2×C3×C22⋊C4C2312yes—
146C2×C3×C22⋊C4C2312yes—
147C2×C3×C42C2311yescharacteristic
148C2×#217C2312yes—
149C2×#217C2312yes—
150C2×#217C2312yes—
151C2×#217C2312yes—
152C2×#217C2312yes—
153C2×#217C2312yes—
154D4×Dic3—28no—
155C2×C4⋊Dic3C2312yes—
156C2×C4⋊Dic3C2311yescharacteristic
157C2×C4⋊Dic3C2312yes—
158C2×C4⋊Dic3C2312yes—
159C2×C4⋊Dic3C2312yes—
160C2×Dic3⋊C4C2312yes—
161C2×Dic3⋊C4C2312yes—
162C2×Dic3⋊C4C2312yes—
163C2×Dic3⋊C4C2311yescharacteristic
164C2×Dic3⋊C4C2312yes—
165C2×Dic3⋊C4C2312yes—
166C2×Dic3⋊C4C2311yescharacteristic
167C2×Dic3⋊C4C2312yes—
168C2×C4×Dic3C2312yes—
169C2×C4×Dic3C2311yescharacteristic
170C2×C4×Dic3C2311yescharacteristic
171C2×C4×Dic3C2312yes—
172C2×C4×Dic3C2312yes—
173C2×C4×Dic3C2311yescharacteristic
174C2×C4×Dic3C2312yes—
175C2×C4×Dic3C2312yes—
176C2×C4×Dic3C2312yes—
177C2×C4×Dic3C2312yes—
178C2×C4×Dic3C2311yescharacteristic
179C2×C4×Dic3C2312yes—
180#878—28no—
181#877—28no—
182C4×Dic6—24no—
183C3×#95C2311yescharacteristic
184C3×#95C2312yes—
185C3×#95C2312yes—
186C3×#95C2311yescharacteristic
187C3×#95C2312yes—
188C3×#95C2312yes—
189C3⋊#95C2312yes—
190C3⋊#95C2312yes—
191C3⋊#95C2312yes—
192C3⋊#95C2312yes—
193C3⋊#95C2312yes—
194C3⋊#95C2312yes—
195C3⋊#95C2312yes—
196C3⋊#95C2312yes—
197C3⋊#95C2312yes—
198C3⋊#95C2312yes—
199C3⋊#95C2312yes—
200C3⋊#95C2311yescharacteristic
201C3⋊#95C2312yes—
202C3⋊#95C2311yescharacteristic
203C3⋊#95C2312yes—
204C3⋊#95C2312yes—
205C3⋊#95C2312yes—
206C3⋊#95C2312yes—
207C3⋊#95C2312yes—
208C3⋊#95C2312yes—
209C3⋊#95C2312yes—
210C3⋊#95C2312yes—
211C3⋊#95C2312yes—
212C3⋊#95C2311yescharacteristic
213C3⋊#95C2311yescharacteristic
214C3⋊#95C2312yes—
215C3⋊#95C2312yes—
216C3⋊#95C2312yes—
217C3⋊#95C2312yes—
218C3⋊#95C2312yes—
219C3⋊#95C2312yes—
220C2×#125C2×D311yescharacteristic
221C2×C22⋊Q8—32no—
222C2×C4×Q8—31no—
223C2×C4×D4—32no—
224C2×C4×D4C2×D311yescharacteristic
225C2×#117—32no—
226#400—31no—
227#400—31no—
228#400—32no—
229#399—32no—
230#399C2×D312yes—
231#398—32no—
232#398—32no—
233#398C2×D312yes—
234#397—32no—
235#397—32no—
236#397—32no—
237#397—32no—
238#397—32no—
239#397—32no—
240#397—32no—
241#397C2×D312yes—
242#395—32no—
243#394—31no—
244#394—31no—
245#394C2×D312yes—
246#393—32no—
247#393—32no—
248#391—31no—
249#391—31no—
250#391—32no—
251#391—32no—
252#391—32no—
253#391—32no—
254#391—32no—
255#387—32no—
256#387—32no—
257#387—32no—
258#387—32no—
259#387—32no—
260#387—32no—
261#387—32no—
262#387—32no—
263#387—32no—
264#387—32no—
265#387—32no—
266#387—32no—
267#387—32no—
268#387—32no—
269#387—32no—
270#387—32no—
271#387—32no—
272#387—32no—
273#387—32no—
274#387—32no—
275#385—32no—
276#385—32no—
277#385C2×D312yes—
278#385C2×D312yes—
279#384—31no—
280#383—32no—
281#383—31no—
282#383—32no—
283#383C2×D311yescharacteristic
284#382—31no—
285#382—32no—
286#382—31no—
287#382—32no—
288#381—32no—
289C4×C4⋊C4—32no—
290C4×C4⋊C4—32no—
291C4×C4⋊C4—32no—
292C4×C4⋊C4—31no—
293C4×C4⋊C4—31no—
294C4×C4⋊C4—32no—
295C4×C22⋊C4—32no—
296C4×C22⋊C4—32no—
297C4×C22⋊C4—32no—
298C4×C22⋊C4—32no—
299C4×C22⋊C4—32no—
300C4×C22⋊C4—32no—
301C4×C22⋊C4—32no—
302C4×C22⋊C4—32no—
303#376—31no—
304#376—31no—
305#376—31no—
306C2×#95—32no—
307C24×C3C2412yes—
308C2×C3×D4—24no—
309C2×C3×D4—22no—
310C22×C3×C4—24no—
311C22×C3×C4—42no—
312C22×C3×C4—42no—
313C22×C3×C4C2412yes—
314C22×C3×C4C2412yes—
315C22×C3×C4C2412yes—
316C22×C3×C4C2412yes—
317C22×C3×C4C2412yes—
318C22×C3×C4C2411yescharacteristic
319C22×C3×C4C2411yescharacteristic
320C22×C3×C4C2411yescharacteristic
321C22×Dic3—24no—
322C22×Dic3—42no—
323C22×Dic3—42no—
324C22×Dic3—42no—
325C22×Dic3—42no—
326C22×Dic3#4118yes—
327C22×Dic3C2411yescharacteristic
328C22×Dic3C2412yes—
329C22×Dic3C2412yes—
330C22×Dic3C2412yes—
331C22×Dic3C2412yes—
332C22×Dic3C2411yescharacteristic
333C22×Dic3C2411yescharacteristic
334C22×Dic3C2412yes—
335C22×Dic3C2412yes—
336C22×Dic3C2411yescharacteristic
337C2×Dic6—22no—
338C2×Dic6—22no—
339C2×Dic6—24no—
340C2×Dic6—41no—
341C2×Dic6—42no—
342C2×Dic6—42no—
343C3×C4⋊C4—22no—
344C3×C4⋊C4—24no—
345C3×C4⋊C4—24no—
346C3×C4⋊C4—22no—
347C3×C4⋊C4—22no—
348C3×C4⋊C4—42no—
349C3×C4⋊C4—42no—
350C3×C22⋊C4—24no—
351C3×C22⋊C4—24no—
352C3×C22⋊C4—24no—
353C3×C22⋊C4—42no—
354C3×C22⋊C4—42no—
355C3×C42#4114yes—
356#217—24no—
357#217—24no—
358#217—24no—
359#217—24no—
360#217—24no—
361#217—42no—
362C4⋊Dic3—22no—
363C4⋊Dic3—24no—
364C4⋊Dic3—24no—
365C4⋊Dic3—42no—
366C4⋊Dic3—42no—
367Dic3⋊C4—22no—
368Dic3⋊C4—22no—
369Dic3⋊C4—24no—
370Dic3⋊C4—24no—
371Dic3⋊C4—24no—
372Dic3⋊C4—24no—
373Dic3⋊C4—24no—
374Dic3⋊C4—42no—
375C4×Dic3—22no—
376C4×Dic3—22no—
377C4×Dic3—24no—
378C4×Dic3—24no—
379C4×Dic3—24no—
380C4×Dic3—42no—
381C4×Dic3—41no—
382C4×Dic3—42no—
383C4×Dic3—42no—
384C4×Dic3—42no—
385C4×Dic3—42no—
386C4×Dic3—41no—
387C22×Q8—31no—
388C22×Q8—32no—
389C22×D4C22×D311yescharacteristic
390C23×C4—32no—
391C23×C4—32no—
392C23×C4C22×D312yes—
393#125—24no—
394C22⋊Q8—68no—
395C4×Q8—64no—
396C4×D4—24no—
397C4×D4—68no—
398#117—68no—
399C2×C4⋊C4—32no—
400C2×C4⋊C4—32no—
401C2×C4⋊C4—32no—
402C2×C4⋊C4—31no—
403C2×C4⋊C4—31no—
404C2×C4⋊C4—31no—
405C2×C4⋊C4—32no—
406C2×C4⋊C4—32no—
407C2×C4⋊C4—32no—
408C2×C4⋊C4—32no—
409C2×C4⋊C4—32no—
410C2×C4⋊C4—32no—
411C2×C4⋊C4—32no—
412C2×C4⋊C4C22×D311yescharacteristic
413C2×C4⋊C4C22×D312yes—
414C2×C4⋊C4C22×D312yes—
415C2×C4⋊C4C22×D311yescharacteristic
416C2×C4⋊C4C22×D311yescharacteristic
417C2×C4⋊C4C22×D312yes—
418C2×C4⋊C4C22×D312yes—
419C2×C22⋊C4—32no—
420C2×C22⋊C4—32no—
421C2×C22⋊C4—32no—
422C2×C22⋊C4—32no—
423C2×C22⋊C4—32no—
424C2×C22⋊C4—32no—
425C2×C22⋊C4C22×D312yes—
426C2×C22⋊C4C22×D312yes—
427C2×C22⋊C4C22×D312yes—
428C2×C22⋊C4C22×D312yes—
429C2×C22⋊C4C22×D312yes—
430C2×C42—32no—
431C2×C42—32no—
432C2×C42—32no—
433C2×C42—31no—
434C2×C42—31no—
435C2×C42—32no—
436C2×C42—32no—
437C2×C42—32no—
438C2×C42—32no—
439C2×C42—31no—
440C2×C42—32no—
441C2×C42—31no—
442C2×C42C22×D311yescharacteristic
443#95—31no—
444#95—32no—
445#95—32no—
446#95—32no—
447#95—31no—
448#95—32no—
449#95—31no—
450#95—32no—
451#95—32no—
452#95—31no—
453#95—32no—
454#95—32no—
455#95—32no—
456#95—32no—
457#95—32no—
458#95—32no—
459#95—32no—
460#95—32no—
461#95—32no—
462#95—32no—
463#95—32no—
464#95—32no—
465#95—32no—
466#95—32no—
467#95—32no—
468#95—32no—
469#95—32no—
470#95—32no—
471#95—32no—
472#95—32no—
473#95—32no—
474#95C22×D311yescharacteristic
475#95C22×D311yescharacteristic
476#95C22×D312yes—
477#95C22×D312yes—
478#95C22×D312yes—
479#95C22×D312yes—
480C23×C3—22no—
481C23×C3—22no—
482C23×C3—22no—
483C23×C3—22no—
484C23×C3—22no—
485C23×C3—22no—
486C23×C3C2×#4114yes—
487C23×C3C2511yescharacteristic
488C3×D4—28no—
489C2×C3×C4—22no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—22no—
493C2×C3×C4—22no—
494C2×C3×C4—22no—
495C2×C3×C4—22no—
496C2×C3×C4—22no—
497C2×C3×C4—22no—
498C2×C3×C4—22no—
499C2×C3×C4—22no—
500C2×C3×C4—22no—
501C2×C3×C4—22no—
502C2×C3×C4—22no—
503C2×C3×C4—22no—
504C2×C3×C4—22no—
505C2×C3×C4—22no—
506C2×C3×C4—22no—
507C2×C3×C4—22no—
508C2×C3×C4—84no—
509C2×C3×C4C2×#4112yes—
510C2×C3×C4C2×#4112yes—
511C2×C3×C4C2×#4112yes—
512C2×Dic3—21no—
513C2×Dic3—21no—
514C2×Dic3—22no—
515C2×Dic3—22no—
516C2×Dic3—22no—
517C2×Dic3—22no—
518C2×Dic3—21no—
519C2×Dic3—21no—
520C2×Dic3—22no—
521C2×Dic3—22no—
522C2×Dic3—21no—
523C2×Dic3—22no—
524C2×Dic3—22no—
525C2×Dic3—22no—
526C2×Dic3—22no—
527C2×Dic3—22no—
528C2×Dic3—22no—
529C2×Dic3—21no—
530C2×Dic3—22no—
531C2×Dic3—22no—
532C2×Dic3—22no—
533C2×Dic3—22no—
534C2×Dic3—22no—
535C2×Dic3—22no—
536C2×Dic3—21no—
537C2×Dic3—48no—
538C2×Dic3—84no—
539C2×Dic3C2×#4114yes—
540C2×Dic3C2×#4114yes—
541C2×Dic32−1+412yes—
542Dic6—44no—
543Dic6—84no—
544C24C23×D312yes—
545C2×Q8—62no—
546C2×Q8—64no—
547C2×Q8—62no—
548C2×Q8—121no—
549C2×Q8—122no—
550C2×Q8—122no—
551C2×D4—24no—
552C2×D4—22no—
553C22×C4—24no—
554C22×C4—32no—
555C22×C4—31no—
556C22×C4—32no—
557C22×C4—38no—
558C22×C4—31no—
559C22×C4—32no—
560C22×C4—32no—
561C22×C4—32no—
562C22×C4—32no—
563C22×C4—31no—
564C22×C4—31no—
565C22×C4—42no—
566C22×C4—42no—
567C22×C4—64no—
568C22×C4—122no—
569C22×C4—122no—
570C22×C4—122no—
571C22×C4—122no—
572C22×C4C23×D312yes—
573C22×C4C23×D312yes—
574C22×C4C23×D312yes—
575C22×C4C23×D312yes—
576C22×C4C23×D312yes—
577C22×C4C23×D311yescharacteristic
578C22×C4C23×D311yescharacteristic
579C22×C4C23×D311yescharacteristic
580C4⋊C4—22no—
581C4⋊C4—24no—
582C4⋊C4—22no—
583C4⋊C4—22no—
584C4⋊C4—24no—
585C4⋊C4—42no—
586C4⋊C4—42no—
587C4⋊C4—64no—
588C4⋊C4—64no—
589C4⋊C4—64no—
590C4⋊C4—64no—
591C4⋊C4—64no—
592C4⋊C4—64no—
593C4⋊C4—64no—
594C4⋊C4—62no—
595C4⋊C4—62no—
596C4⋊C4—62no—
597C4⋊C4—122no—
598C4⋊C4—122no—
599C4⋊C4—122no—
600C22⋊C4—24no—
601C22⋊C4—24no—
602C22⋊C4—24no—
603C22⋊C4—42no—
604C22⋊C4—42no—
605C22⋊C4—64no—
606C22⋊C4—64no—
607C22⋊C4—64no—
608C22⋊C4—64no—
609C22⋊C4—64no—
610C22⋊C4—122no—
611C42—64no—
612C42—64no—
613C42—64no—
614C42—62no—
615C42—62no—
616C42—122no—
617C42—121no—
618C42—121no—
619C42—122no—
620C42—122no—
621C42—122no—
622C42—122no—
623C42#23714yes—
624C22×C3—24no—
625C22×C3—24no—
626C22×C3—24no—
627C22×C3—42no—
628C22×C3—42no—
629C22×C3—42no—
630C22×C3—42no—
631C22×C3C22×#4111yescharacteristic
632C22×C3C22×#4112yes—
633C22×C3C2×2−1+411yescharacteristic
634C22×C3#58512yes—
635C22×C3#58511yescharacteristic
636C3×C4—22no—
637C3×C4—22no—
638C3×C4—22no—
639C3×C4—42no—
640C3×C4—42no—
641C3×C4—42no—
642C3×C4—42no—
643C3×C4—42no—
644Dic3—24no—
645Dic3—24no—
646Dic3—22no—
647Dic3—41no—
648Dic3—41no—
649Dic3—42no—
650Dic3—42no—
651Dic3—41no—
652Dic3—42no—
653Dic3—42no—
654C23—22no—
655C23—22no—
656C23—22no—
657C23—22no—
658C23—22no—
659C23—22no—
660C23D3×#4114yes—
661C23C24×D311yescharacteristic
662Q8—124no—
663Q8—244no—
664D4—28no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—34no—
685C2×C4—34no—
686C2×C4—32no—
687C2×C4—61no—
688C2×C4—62no—
689C2×C4—62no—
690C2×C4—61no—
691C2×C4—62no—
692C2×C4—62no—
693C2×C4—61no—
694C2×C4—61no—
695C2×C4—61no—
696C2×C4—62no—
697C2×C4—62no—
698C2×C4—62no—
699C2×C4—62no—
700C2×C4—62no—
701C2×C4—62no—
702C2×C4—62no—
703C2×C4—62no—
704C2×C4—62no—
705C2×C4—62no—
706C2×C4—62no—
707C2×C4—62no—
708C2×C4—61no—
709C2×C4—62no—
710C2×C4—61no—
711C2×C4—62no—
712C2×C4—84no—
713C2×C4—128no—
714C2×C4—244no—
715C2×C4C2×#23712yes—
716C2×C4C2×#23712yes—
717C2×C4C2×#23712yes—
718C2×C3—44no—
719C2×C3#344411yescharacteristic
720C2×C3#349112yes—
721C2×C3#349511yescharacteristic
722C2×C3#350712yes—
723C2×C3#351011yescharacteristic
724C22—24no—
725C22—24no—
726C22—24no—
727C22—42no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22C22×#23711yescharacteristic
732C22C2×D3×#4112yes—
733C22#596612yes—
734C22D3×2−1+411yescharacteristic
735C22#596811yescharacteristic
736C4—22no—
737C4—22no—
738C4—22no—
739C4—42no—
740C4—42no—
741C4—42no—
742C4—42no—
743C4—42no—
744C4—62no—
745C4—64no—
746C4—64no—
747C4—121no—
748C4—121no—
749C4—121no—
750C4—122no—
751C4—122no—
752C4—122no—
753C4—122no—
754C3#3576011yescharacteristic, complemented, Sylow
755C2—44no—
756C2#8601811yescharacteristic
757C2#8632011yescharacteristic
758C2#8635711yescharacteristic
759C2#8643112yes—
760C2#8645312yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2633C2
prime radicalC22×C3×D4C23
hypercenter#2633D3
hypocenterC3#35760
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2633

Complements

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

NH ≅ G/Ntype
2. #83039C2semidirect
3. #83026C2semidirect
6. #78046C2semidirect
7. #78032C2semidirect
8. #77777C2semidirect
9. #77774C2semidirect
10. #77503C2semidirect
11. #77491C2semidirect
14. #74469C2semidirect
15. #74467C2semidirect
16. #74399C2semidirect
17. #74392C2semidirect
18. #74275C2semidirect
19. #74264C2semidirect
754. C3#35760semidirect

Maximal subgroups

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

subgroupindex
C3×#26332
#830392
#830262
#823482
#823172
#780462
#780322
#777772
#777742
#775032
#774912
#769832
#768922
#744692
#744672
#743992
#743922
#742752
#742642
#357603