Finite Group Databasebeta

← #10983009

Subgroups — #10983009

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×#2275C211yesmaximal, characteristic
2#82392C212yesmaximal
3#82391C211yesmaximal, characteristic
4#82348C211yesmaximal, characteristic
5#82346C212yesmaximal
6#73743C211yesmaximal, characteristic, complemented
7#73719C211yesmaximal, characteristic, complemented
8#73703C212yesmaximal, complemented
9#73701C212yesmaximal, complemented
10#73553C212yesmaximal, complemented
11#73529C212yesmaximal, complemented
12#73529C212yesmaximal, complemented
13#73524C212yesmaximal, complemented
14#73524C212yesmaximal, complemented
15#73514C212yesmaximal, complemented
16#73394C211yesmaximal, characteristic, complemented
17#73393C211yesmaximal, characteristic, complemented
18#73339C212yesmaximal, complemented
19#73335C212yesmaximal, complemented
20#35760—31nomaximal, Sylow
21C2×C3×C4×D4C2212yes—
22C2×C3×C4×D4C2211yescharacteristic
23C2×#926C2212yes—
24C2×#924C2212yes—
25C2×#870C2211yescharacteristic
26C2×C4×Dic6C2211yescharacteristic
27C3×C4×C4⋊C4C2211yescharacteristic
28C3×C4×C4⋊C4C2212yes—
29C3×C4×C22⋊C4C2212yes—
30C3×C4×C22⋊C4C2212yes—
31C3×C4×C22⋊C4C2212yes—
32C3×#376C2211yescharacteristic
33C2×C3×#95C2212yes—
34#5222C2211yescharacteristic
35#5222C2212yes—
36#5222C2211yescharacteristic
37#5211C2212yes—
38#5210C2212yes—
39#5210C2212yes—
40#5210C2212yes—
41#5210C2212yes—
42C4×#217C2212yes—
43C4×#217C2212yes—
44C4×#217C2212yes—
45C4×#217C2212yes—
46C4×#217C2212yes—
47#4986C2212yes—
48#4985C2211yescharacteristic
49#4985C2211yescharacteristic
50#4983C2212yes—
51#4981C2212yes—
52#4981C2212yes—
53#4979C2212yes—
54#4953C2212yes—
55#4953C2212yes—
56#4953C2212yes—
57#4953C2212yes—
58#4952C2212yes—
59#4952C2212yes—
60#4952C2212yes—
61#4952C2212yes—
62#4949C2212yes—
63#4949C2212yes—
64#4947C2212yes—
65#4947C2212yes—
66#4937C2211yescharacteristic
67#4937C2212yes—
68#4936C2212yes—
69#4936C2211yescharacteristic
70#4935C2211yescharacteristic
71#4933C2212yes—
72#4933C2212yes—
73#4933C2212yes—
74#4933C2212yes—
75#4933C2212yes—
76#4933C2212yes—
77#4933C2212yes—
78#4933C2212yes—
79#4932C2211yescharacteristic
80C4×Dic3⋊C4C2212yes—
81C4×Dic3⋊C4C2212yes—
82#4929C2212yes—
83#4929C2212yes—
84#4929C2211yescharacteristic
85#4929C2211yescharacteristic
86#4654C2212yes—
87#4654C2212yes—
88#4654C2212yes—
89#4653C2212yes—
90#4653C2212yes—
91#4653C2212yes—
92#4653C2212yes—
93#4653C2212yes—
94#4653C2212yes—
95#4652C2212yes—
96#4652C2212yes—
97#4652C2212yes—
98#4651C2211yescharacteristic
99#4651C2212yes—
100#4650C2211yescharacteristic
101#4650C2212yes—
102#4649C2212yes—
103#4649C2211yescharacteristic
104#4648C2211yescharacteristic
105#4646C2212yes—
106#4646C2212yes—
107#4646C2212yes—
108#2638—32no—
109#2633—31no—
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#2275D311yescharacteristic
127C22×C3×D4C2311yescharacteristic
128C23×C3×C4C2312yes—
129C23×C3×C4C2312yes—
130C23×C3×C4C2312yes—
131C22×Dic6C2311yescharacteristic
132C22×Dic6C2312yes—
133C3×C4×D4—28no—
134C3×C4×D4—24no—
135C2×C3×C4⋊C4C2312yes—
136C2×C3×C4⋊C4C2311yescharacteristic
137C2×C3×C22⋊C4C2312yes—
138C2×C3×C22⋊C4C2312yes—
139C2×C3×C22⋊C4C2312yes—
140C2×C3×C42C2312yes—
141C2×C3×C42C2311yescharacteristic
142C2×C3×C42C2312yes—
143C2×C3×C42C2311yescharacteristic
144C2×C3×C42C2312yes—
145C2×C3×C42C2311yescharacteristic
146C2×#217C2312yes—
147C2×#217C2312yes—
148C2×#217C2312yes—
149C2×#217C2312yes—
150C2×#217C2312yes—
151C2×#217C2312yes—
152C2×#217C2312yes—
153C2×#217C2312yes—
154#926—28no—
155C2×C4⋊Dic3C2311yescharacteristic
156C2×C4⋊Dic3C2312yes—
157C2×C4⋊Dic3C2311yescharacteristic
158C2×C4⋊Dic3C2312yes—
159C2×C4⋊Dic3C2311yescharacteristic
160C2×C4⋊Dic3C2312yes—
161#924—28no—
162C2×Dic3⋊C4C2312yes—
163C2×Dic3⋊C4C2312yes—
164C2×Dic3⋊C4C2312yes—
165C2×Dic3⋊C4C2312yes—
166C2×Dic3⋊C4C2311yescharacteristic
167C2×Dic3⋊C4C2312yes—
168C2×Dic3⋊C4C2311yescharacteristic
169C2×Dic3⋊C4C2312yes—
170C2×Dic3⋊C4C2312yes—
171C2×Dic3⋊C4C2312yes—
172C2×Dic3⋊C4C2312yes—
173C2×Dic3⋊C4C2312yes—
174C2×C4×Dic3C2312yes—
175C2×C4×Dic3C2311yescharacteristic
176C2×C4×Dic3C2311yescharacteristic
177C2×C4×Dic3C2312yes—
178C2×C4×Dic3C2312yes—
179C2×C4×Dic3C2312yes—
180C2×C4×Dic3C2312yes—
181#870—24no—
182C4×Dic6—24no—
183C3×#95C2312yes—
184C3×#95C2312yes—
185C3×#95C2312yes—
186C3×#95C2311yescharacteristic
187C3×#95C2312yes—
188C3×#95C2311yescharacteristic
189C3⋊#95C2311yescharacteristic
190C3⋊#95C2312yes—
191C3⋊#95C2312yes—
192C3⋊#95C2312yes—
193C3⋊#95C2312yes—
194C3⋊#95C2312yes—
195C3⋊#95C2312yes—
196C3⋊#95C2312yes—
197C3⋊#95C2312yes—
198C3⋊#95C2311yescharacteristic
199C3⋊#95C2312yes—
200C3⋊#95C2312yes—
201C3⋊#95C2312yes—
202C3⋊#95C2312yes—
203C3⋊#95C2312yes—
204C3⋊#95C2312yes—
205C3⋊#95C2312yes—
206C3⋊#95C2312yes—
207C3⋊#95C2312yes—
208C3⋊#95C2312yes—
209C3⋊#95C2312yes—
210C3⋊#95C2312yes—
211C3⋊#95C2312yes—
212C3⋊#95C2312yes—
213C3⋊#95C2312yes—
214C3⋊#95C2312yes—
215C3⋊#95C2312yes—
216C3⋊#95C2312yes—
217C3⋊#95C2311yescharacteristic
218C3⋊#95C2312yes—
219C3⋊#95C2311yescharacteristic
220C2×#125—31no—
221C2×C22⋊Q8—32no—
222C2×C4×Q8—31no—
223C2×C4×D4C2×D311yescharacteristic
224C2×C4×D4C2×D312yes—
225C2×#117—32no—
226#400—32no—
227#400—31no—
228#400—31no—
229#399—32no—
230#399—32no—
231#398—32no—
232#398—32no—
233#398—32no—
234#397—32no—
235#397—32no—
236#397—32no—
237#397—32no—
238#397—32no—
239#397—32no—
240#397—32no—
241#397—32no—
242#395—32no—
243#394—32no—
244#394—31no—
245#394—31no—
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#385—32no—
278#385—32no—
279#384—31no—
280#383—31no—
281#383—32no—
282#383—32no—
283#383—31no—
284#382—31no—
285#382—32no—
286#382—32no—
287#382—31no—
288#381—32no—
289C4×C4⋊C4—32no—
290C4×C4⋊C4—32no—
291C4×C4⋊C4—32no—
292C4×C4⋊C4—31no—
293C4×C4⋊C4C2×D311yescharacteristic
294C4×C4⋊C4C2×D312yes—
295C4×C22⋊C4—32no—
296C4×C22⋊C4—32no—
297C4×C22⋊C4—32no—
298C4×C22⋊C4—32no—
299C4×C22⋊C4—32no—
300C4×C22⋊C4C2×D312yes—
301C4×C22⋊C4C2×D312yes—
302C4×C22⋊C4C2×D312yes—
303#376—31no—
304#376—31no—
305#376C2×D311yescharacteristic
306C2×#95C2×D312yes—
307C24×C3C2412yes—
308C2×C3×D4—24no—
309C2×C3×D4—22no—
310C22×C3×C4—24no—
311C22×C3×C4—24no—
312C22×C3×C4—42no—
313C22×C3×C4—42no—
314C22×C3×C4—42no—
315C22×C3×C4—42no—
316C22×C3×C4—42no—
317C22×C3×C4—42no—
318C22×C3×C4#4118yes—
319C22×C3×C4C2412yes—
320C22×C3×C4C2412yes—
321C22×C3×C4C2412yes—
322C22×C3×C4C2411yescharacteristic
323C22×C3×C4C2412yes—
324C22×C3×C4C2411yescharacteristic
325C22×C3×C4C2412yes—
326C22×C3×C4C2411yescharacteristic
327C22×Dic3C2411yescharacteristic
328C22×Dic3C2412yes—
329C22×Dic3C2412yes—
330C22×Dic3C2412yes—
331C22×Dic3C2412yes—
332C22×Dic3C2411yescharacteristic
333C22×Dic3C2412yes—
334C22×Dic3C2411yescharacteristic
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—24no—
344C3×C4⋊C4—22no—
345C3×C22⋊C4—24no—
346C3×C22⋊C4—24no—
347C3×C22⋊C4—24no—
348C3×C42—24no—
349C3×C42—41no—
350C3×C42—41no—
351C3×C42—42no—
352C3×C42—42no—
353C3×C42#4114yes—
354#217—24no—
355#217—24no—
356#217—24no—
357#217—24no—
358#217—24no—
359#217—42no—
360#217—42no—
361#217—42no—
362C4⋊Dic3—22no—
363C4⋊Dic3—22no—
364C4⋊Dic3—22no—
365C4⋊Dic3—24no—
366C4⋊Dic3—24no—
367C4⋊Dic3—24no—
368Dic3⋊C4—22no—
369Dic3⋊C4—22no—
370Dic3⋊C4—24no—
371Dic3⋊C4—24no—
372Dic3⋊C4—24no—
373Dic3⋊C4—24no—
374Dic3⋊C4—24no—
375Dic3⋊C4—42no—
376Dic3⋊C4—42no—
377Dic3⋊C4—42no—
378Dic3⋊C4—42no—
379Dic3⋊C4—42no—
380C4×Dic3—22no—
381C4×Dic3—22no—
382C4×Dic3—24no—
383C4×Dic3—24no—
384C4×Dic3—42no—
385C4×Dic3—42no—
386C4×Dic3—42no—
387C22×Q8—31no—
388C22×Q8—32no—
389C22×D4C22×D311yescharacteristic
390C23×C4C22×D312yes—
391C23×C4C22×D312yes—
392C23×C4C22×D312yes—
393#125—64no—
394C22⋊Q8—68no—
395C4×Q8—64no—
396C4×D4—28no—
397C4×D4—24no—
398#117—68no—
399C2×C4⋊C4—32no—
400C2×C4⋊C4—32no—
401C2×C4⋊C4—31no—
402C2×C4⋊C4—31no—
403C2×C4⋊C4—31no—
404C2×C4⋊C4—32no—
405C2×C4⋊C4—32no—
406C2×C4⋊C4—32no—
407C2×C4⋊C4—32no—
408C2×C4⋊C4—32no—
409C2×C4⋊C4—31no—
410C2×C4⋊C4—31no—
411C2×C4⋊C4—32no—
412C2×C4⋊C4—32no—
413C2×C4⋊C4—32no—
414C2×C4⋊C4—32no—
415C2×C4⋊C4—32no—
416C2×C4⋊C4—32no—
417C2×C4⋊C4C22×D312yes—
418C2×C4⋊C4C22×D311yescharacteristic
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⋊C4—32no—
426C2×C22⋊C4—32no—
427C2×C22⋊C4C22×D312yes—
428C2×C22⋊C4C22×D312yes—
429C2×C22⋊C4C22×D312yes—
430C2×C42—32no—
431C2×C42—32no—
432C2×C42—31no—
433C2×C42—31no—
434C2×C42—32no—
435C2×C42—32no—
436C2×C42—32no—
437C2×C42C22×D312yes—
438C2×C42C22×D312yes—
439C2×C42C22×D311yescharacteristic
440C2×C42C22×D312yes—
441C2×C42C22×D311yescharacteristic
442C2×C42C22×D311yescharacteristic
443#95—31no—
444#95—32no—
445#95—31no—
446#95—32no—
447#95—31no—
448#95—32no—
449#95—32no—
450#95—32no—
451#95—32no—
452#95—32no—
453#95—32no—
454#95—32no—
455#95—32no—
456#95—32no—
457#95—32no—
458#95—32no—
459#95—32no—
460#95—31no—
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×D312yes—
476#95C22×D312yes—
477#95C22×D312yes—
478#95C22×D311yescharacteristic
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—22no—
492C2×C3×C4—22no—
493C2×C3×C4—22no—
494C2×C3×C4—21no—
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—48no—
507C2×C3×C4—84no—
508C2×C3×C4—84no—
509C2×C3×C4C2×#4114yes—
510C2×C3×C4C2×#4112yes—
511C2×C3×C4C2×#4112yes—
512C2×C3×C4C2×#4112yes—
513C2×C3×C4C2×#4114yes—
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—21no—
517C2×Dic3—21no—
518C2×Dic3—21no—
519C2×Dic3—22no—
520C2×Dic3—22no—
521C2×Dic3—22no—
522C2×Dic3—22no—
523C2×Dic3—22no—
524C2×Dic3—22no—
525C2×Dic3—22no—
526C2×Dic3—22no—
527C2×Dic3—22no—
528C2×Dic3—22no—
529C2×Dic3—22no—
530C2×Dic3—22no—
531C2×Dic3—21no—
532C2×Dic3—22no—
533C2×Dic3—22no—
534C2×Dic3—22no—
535C2×Dic3—22no—
536C2×Dic3—22no—
537C2×Dic3—22no—
538C2×Dic3—22no—
539C2×Dic3—22no—
540C2×Dic3—21no—
541C2×Dic32−1+412yes—
542Dic6—44no—
543Dic6—84no—
544C24C23×D312yes—
545C2×Q8—62no—
546C2×Q8—62no—
547C2×Q8—64no—
548C2×Q8—121no—
549C2×Q8—122no—
550C2×Q8—122no—
551C2×D4—24no—
552C2×D4—22no—
553C22×C4—24no—
554C22×C4—24no—
555C22×C4—31no—
556C22×C4—31no—
557C22×C4—32no—
558C22×C4—32no—
559C22×C4—32no—
560C22×C4—32no—
561C22×C4—31no—
562C22×C4—32no—
563C22×C4—31no—
564C22×C4—32no—
565C22×C4—42no—
566C22×C4—42no—
567C22×C4—42no—
568C22×C4—42no—
569C22×C4—42no—
570C22×C4—42no—
571C22×C4#23518yes—
572C22×C4C23×D312yes—
573C22×C4C23×D312yes—
574C22×C4C23×D312yes—
575C22×C4C23×D311yescharacteristic
576C22×C4C23×D312yes—
577C22×C4C23×D311yescharacteristic
578C22×C4C23×D312yes—
579C22×C4C23×D311yescharacteristic
580C4⋊C4—24no—
581C4⋊C4—22no—
582C4⋊C4—64no—
583C4⋊C4—64no—
584C4⋊C4—64no—
585C4⋊C4—62no—
586C4⋊C4—62no—
587C4⋊C4—62no—
588C4⋊C4—64no—
589C4⋊C4—64no—
590C4⋊C4—64no—
591C4⋊C4—64no—
592C4⋊C4—64no—
593C4⋊C4—62no—
594C4⋊C4—62no—
595C4⋊C4—122no—
596C4⋊C4—122no—
597C4⋊C4—122no—
598C4⋊C4—122no—
599C4⋊C4—122no—
600C22⋊C4—24no—
601C22⋊C4—24no—
602C22⋊C4—24no—
603C22⋊C4—64no—
604C22⋊C4—64no—
605C22⋊C4—64no—
606C22⋊C4—64no—
607C22⋊C4—64no—
608C22⋊C4—122no—
609C22⋊C4—122no—
610C22⋊C4—122no—
611C42—24no—
612C42—41no—
613C42—41no—
614C42—42no—
615C42—42no—
616C42—64no—
617C42—64no—
618C42—62no—
619C42—62no—
620C42—122no—
621C42—122no—
622C42—122no—
623C42#23514yes—
624C22×C3—24no—
625C22×C3—24no—
626C22×C3—24no—
627C22×C3—42no—
628C22×C3—42no—
629C22×C3—42no—
630C22×C3—42no—
631C22×C3C22×#4112yes—
632C22×C3C22×#4111yescharacteristic
633C22×C3C2×2−1+411yescharacteristic
634C22×C3#58511yescharacteristic
635C22×C3#58512yes—
636C3×C4—22no—
637C3×C4—24no—
638C3×C4—24no—
639C3×C4—22no—
640C3×C4—22no—
641C3×C4—42no—
642C3×C4—42no—
643C3×C4—42no—
644Dic3—22no—
645Dic3—41no—
646Dic3—41no—
647Dic3—42no—
648Dic3—42no—
649Dic3—42no—
650Dic3—41no—
651Dic3—42no—
652Dic3—42no—
653Dic3—42no—
654C23—22no—
655C23—22no—
656C23—22no—
657C23—22no—
658C23—22no—
659C23—22no—
660C23C2×#23514yes—
661C23C24×D311yescharacteristic
662Q8—124no—
663Q8—244no—
664D4—28no—
665C2×C4—22no—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—21no—
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—32no—
683C2×C4—48no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—62no—
687C2×C4—62no—
688C2×C4—62no—
689C2×C4—62no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—62no—
694C2×C4—62no—
695C2×C4—62no—
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—61no—
705C2×C4—62no—
706C2×C4—62no—
707C2×C4—62no—
708C2×C4—62no—
709C2×C4—62no—
710C2×C4—61no—
711C2×C4—84no—
712C2×C4—84no—
713C2×C4C2×#23514yes—
714C2×C4C2×#23512yes—
715C2×C4C2×#23512yes—
716C2×C4C2×#23512yes—
717C2×C4C2×#23514yes—
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×#23512yes—
732C22C22×#23511yescharacteristic
733C22#596611yescharacteristic
734C22#596612yes—
735C22D3×2−1+411yescharacteristic
736C4—24no—
737C4—24no—
738C4—22no—
739C4—22no—
740C4—22no—
741C4—42no—
742C4—42no—
743C4—42no—
744C4—62no—
745C4—122no—
746C4—122no—
747C4—122no—
748C4—122no—
749C4—122no—
750C4—121no—
751C4—121no—
752C4—122no—
753C4—121no—
754C3#3576011yescharacteristic, complemented, Sylow
755C2—44no—
756C2#8568011yescharacteristic
757C2#8585912yes—
758C2#8586311yescharacteristic
759C2#8589212yes—
760C2#8590411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2275C2
prime radicalC22×C3×D4C23
hypercenter#2275D3
hypocenterC3#35760
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2275

Complements

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

NH ≅ G/Ntype
6. #73743C2semidirect
7. #73719C2semidirect
8. #73703C2semidirect
9. #73701C2semidirect
10. #73553C2semidirect
11. #73529C2semidirect
12. #73529C2semidirect
13. #73524C2semidirect
14. #73524C2semidirect
15. #73514C2semidirect
16. #73394C2semidirect
17. #73393C2semidirect
18. #73339C2semidirect
19. #73335C2semidirect
754. C3#35760semidirect

Maximal subgroups

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

subgroupindex
C3×#22752
#823922
#823912
#823482
#823462
#737432
#737192
#737032
#737012
#735532
#735292
#735242
#735142
#733942
#733932
#733392
#733352
#357603