Finite Group Databasebeta

← #10772002

Subgroups — #10772002

Order 768.

940 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
1C3×#3514C211yesmaximal, characteristic
2#83294C211yesmaximal, characteristic, complemented
3#83156C211yesmaximal, characteristic, complemented
4#82507C211yesmaximal, characteristic, complemented
5#71945C211yesmaximal, characteristic, complemented
6#71944C211yesmaximal, characteristic, complemented
7#71933C211yesmaximal, characteristic, complemented
8#71932C211yesmaximal, characteristic, complemented
9#71916C211yesmaximal, characteristic, complemented
10#71915C211yesmaximal, characteristic, complemented
11#71908C211yesmaximal, characteristic, complemented
12#71907C211yesmaximal, characteristic, complemented
13#71806C211yesmaximal, characteristic, complemented
14#71751C211yesmaximal, characteristic, complemented
15#71641C211yesmaximal, characteristic, complemented
16#18595—31nomaximal, Sylow
17C3×#559C2211yescharacteristic
18C3×#556C2211yescharacteristic
19C3×#555—21no—
20C3×#551—22no—
21C3×D4×Q8C2211yescharacteristic
22C3×#548—21no—
23C3×#546—21no—
24C3×#546—21no—
25C3×D42C2211yescharacteristic
26C3×#542—21no—
27C3×#538—22no—
28C3×#532C2211yescharacteristic
29C3×#529—21no—
30C3×#529C2211yescharacteristic
31C2×C3×#124—21no—
32C3×#518—21no—
33C3×C4×#41C2211yescharacteristic
34#5470C2211yescharacteristic, complemented
35#5233—21no—
36#5093C2211yescharacteristic, complemented
37#5078C2211yescharacteristic, complemented
38#5076C2211yescharacteristic
39#5070C2211yescharacteristic
40#5063—21no—
41#5054—21no—
42#5052—21no—
43#5042—22no—
44#5042—21no—
45#5031C2211yescharacteristic, complemented
46#5022—21no—
47#5021C2211yescharacteristic, complemented
48#5021C2211yescharacteristic, complemented
49#5020C2211yescharacteristic, complemented
50#5019C2211yescharacteristic
51#5018—22no—
52#5009—21no—
53#5008C2211yescharacteristic
54#5008C2211yescharacteristic
55#5007C2211yescharacteristic
56#4998—21no—
57#4924C2211yescharacteristic, complemented
58C2×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
59C4×#208C2211yescharacteristic, complemented
60#4547C2211yescharacteristic, complemented
61#4547C2211yescharacteristic, complemented
62#4544C2211yescharacteristic
63#4544C2211yescharacteristic
64#4535C2211yescharacteristic, complemented
65#4535C2211yescharacteristic, complemented
66#4535C2211yescharacteristic, complemented
67#4535C2211yescharacteristic, complemented
68D4⋊(C3⋊C8)C2211yescharacteristic
69D4⋊(C3⋊C8)C2211yescharacteristic
70D4⋊(C3⋊C8)C2211yescharacteristic
71D4⋊(C3⋊C8)C2211yescharacteristic
72#3514D311yescharacteristic
73#3252—31no—
74#3182—31no—
75#3076—31no—
76#1650—31no—
77#1649—31no—
78#1640—31no—
79#1639—31no—
80#1638—31no—
81#1637—31no—
82#1630—31no—
83#1629—31no—
84#1547—31no—
85#1489—31no—
86#1483—31no—
87C2×C3×#41—21no—
88C2×C3×#41D411yescharacteristic
89C22×C3×Q8—21no—
90C22×C3×D4—21no—
91C22×C3×D4—21no—
92C3×C4⋊Q8—21no—
93C3×C4⋊Q8C2311yescharacteristic
94C3×#127C2311yescharacteristic
95C3×#126—22no—
96C3×#126—22no—
97C3×#126—21no—
98C3×#125D411yescharacteristic
99C3×#124—22no—
100C3×#124—22no—
101C3×#124—22no—
102C3×#124—21no—
103C3×#124—21no—
104C3×#124—21no—
105C3×#124—21no—
106C3×#124D411yescharacteristic
107C3×#123—22no—
108C3×#123—22no—
109C3×#123—22no—
110C3×#123—21no—
111C3×C22⋊Q8—22no—
112C3×C22⋊Q8—21no—
113C3×C22⋊Q8—21no—
114C3×C22⋊Q8—22no—
115C3×C22⋊Q8D411yescharacteristic
116C3×#121—22no—
117C3×#121—22no—
118C3×#121—21no—
119C3×#121—21no—
120C3×#121—21no—
121C3×#121D411yescharacteristic
122C3×#121D412yes—
123C3×#120—22no—
124C3×#120—22no—
125C3×C4×Q8—21no—
126C3×C4×Q8D411yescharacteristic
127C3×C4×Q8C2311yescharacteristic
128C3×C4×Q8C2311yescharacteristic
129C3×C4×D4—22no—
130C3×C4×D4—22no—
131C3×C4×D4—21no—
132C3×C4×D4—21no—
133C3×C4×D4—21no—
134C3×C4×D4—21no—
135C3×C4×D4—21no—
136C3×C4×D4—21no—
137C3×C4×D4—21no—
138C3×C4×D4D411yescharacteristic
139C3×C4×D4D412yes—
140C3×C4×D4C2311yescharacteristic
141C3×C4×D4C2311yescharacteristic
142C3×#117—22no—
143C3×#117—21no—
144C3×#117—21no—
145C3×#117—21no—
146C3×#117D411yescharacteristic
147C2×C3×C22⋊C4—22no—
148C2×C3×C22⋊C4—22no—
149C2×C3×C22⋊C4—22no—
150C2×C3×C42—21no—
151C2×C3×C42C2311yescharacteristic
152C2×#216—21no—
153C2×#214—22no—
154C2×#214—21no—
155#926—21no—
156#924—21no—
157#924—21no—
158C2×#208—21no—
159C2×#208—21no—
160C22×C3⋊C8—21no—
161#870—21no—
162#869C2311yescharacteristic
163#869C2311yescharacteristic
164C4×Dic6—21no—
165C4×Dic6—21no—
166#835—21no—
167#835—21no—
168#835—21no—
169#832—21no—
170#832—21no—
171#832—21no—
172#832—22no—
173#810—22no—
174#810—21no—
175#810—21no—
176#808—21no—
177#808—21no—
178#808—21no—
179#807—21no—
180#807—21no—
181#807—22no—
182#807—21no—
183C4⋊(C3⋊C8)—21no—
184C4⋊(C3⋊C8)—21no—
185C4⋊(C3⋊C8)C2311yescharacteristic
186C4⋊(C3⋊C8)C2311yescharacteristic
187C4⋊(C3⋊C8)C2311yescharacteristic
188C4⋊(C3⋊C8)C2311yescharacteristic
189#803—21no—
190C4×C3⋊C8C2311yescharacteristic
191C4×C3⋊C8C2311yescharacteristic
192#559C2×D311yescharacteristic
193#556C2×D311yescharacteristic
194#555—21no—
195#551—22no—
196D4×Q8C2×D311yescharacteristic
197#548—21no—
198#546—21no—
199#546—21no—
200D42C2×D311yescharacteristic
201#542—21no—
202#538—22no—
203#533—31no—
204#532C2×D311yescharacteristic
205#529—21no—
206#529C2×D311yescharacteristic
207C2×#124—21no—
208#518—21no—
209C4×#41C2×D311yescharacteristic
210#500—31no—
211#492—31no—
212#487—31no—
213#486—31no—
214#479—61no—
215#479—61no—
216#478—61no—
217#477—31no—
218#477—31no—
219#476—31no—
220#476—31no—
221#475—31no—
222#474—31no—
223#470—61no—
224#468—62no—
225#468—61no—
226#464—61no—
227#462—31no—
228#461—31no—
229#440—62no—
230#427—61no—
231#423—31no—
232C2×C4⋊C8—31no—
233#416—61no—
234C4×M16—31no—
235#332—31no—
236#332—31no—
237#331—31no—
238#331—31no—
239Q8⋊C8—31no—
240Q8⋊C8—31no—
241Q8⋊C8—31no—
242Q8⋊C8—31no—
243D4⋊C8—31no—
244D4⋊C8—31no—
245D4⋊C8—31no—
246D4⋊C8—31no—
247C24×C3—22no—
248C3×#41—22no—
249C3×#41—41no—
250C3×#41—81no—
251C3×#41—81no—
252C2×C3×Q8—22no—
253C2×C3×Q8—21no—
254C2×C3×Q8—81no—
255C2×C3×Q8—81no—
256C2×C3×Q8C2×D411yescharacteristic
257C2×C3×Q8C2×D411yescharacteristic
258C2×C3×D4—22no—
259C2×C3×D4—21no—
260C2×C3×D4—22no—
261C2×C3×D4—21no—
262C2×C3×D4—22no—
263C2×C3×D4—21no—
264C2×C3×D4—21no—
265C2×C3×D4—42no—
266C2×C3×D4—42no—
267C2×C3×D4—81no—
268C2×C3×D4—81no—
269C2×C3×D4C2×D411yescharacteristic
270C2×C3×D4C2×D411yescharacteristic
271C2×C3×D4C2×D412yes—
272C22×C3×C4—22no—
273C22×C3×C4—22no—
274C22×C3×C4—21no—
275C22×C3×C4—21no—
276C22×C3×C4—21no—
277C22×C3×C4—21no—
278C22×C3×C4—22no—
279C22×C3×C4C2×D411yescharacteristic
280C22×C3×C4C2×D411yescharacteristic
281C22×C3×C4C2×D411yescharacteristic
282C2×Dic6—21no—
283C2×Dic6—21no—
284C3×C4⋊C4—22no—
285C3×C4⋊C4—22no—
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⋊C4—21no—
293C3×C4⋊C4C2×D411yescharacteristic
294C3×C4⋊C4C2×D411yescharacteristic
295C3×C4⋊C4C2×D411yescharacteristic
296C3×C4⋊C4C2×D412yes—
297C3×C4⋊C4C2×D411yescharacteristic
298C3×C22⋊C4—22no—
299C3×C22⋊C4—22no—
300C3×C22⋊C4—22no—
301C3×C22⋊C4—22no—
302C3×C22⋊C4—22no—
303C3×C22⋊C4—22no—
304C3×C22⋊C4—22no—
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—22no—
312C3×C22⋊C4—22no—
313C3×C22⋊C4—21no—
314C3×C22⋊C4—21no—
315C3×C42—22no—
316C3×C42—21no—
317C3×C42—21no—
318C3×C42—21no—
319C3×C42—21no—
320C3×C42C2×D411yescharacteristic
321C3×C42C2×D411yescharacteristic
322C3×C42C2×D411yescharacteristic
323C3×C42C2411yescharacteristic
324#217—41no—
325#216—81no—
326#214—44no—
327#214—81no—
328C4⋊Dic3—21no—
329C4⋊Dic3—21no—
330C4⋊Dic3—21no—
331C4⋊Dic3—21no—
332Dic3⋊C4—41no—
333Dic3⋊C4—41no—
334C4×Dic3—41no—
335#208—42no—
336#208—81no—
337C2×C3⋊C8—21no—
338C2×C3⋊C8—21no—
339C2×C3⋊C8—21no—
340C2×C3⋊C8—21no—
341C2×C3⋊C8—21no—
342C2×C3⋊C8—21no—
343C2×C3⋊C8—42no—
344C2×#41—21no—
345C2×#41#6711yescharacteristic
346C22×Q8—21no—
347C22×D4—21no—
348C22×D4—21no—
349C2×Q16—61no—
350C2×SD16—62no—
351C2×SD16—61no—
352C2×M16—61no—
353C2×M16—61no—
354C22×C8—61no—
355C4⋊Q8—21no—
356C4⋊Q8—31no—
357C4⋊Q8—31no—
358C4⋊Q8C22×D311yescharacteristic
359#127C22×D311yescharacteristic
360#126—22no—
361#126—22no—
362#126—21no—
363#125—61no—
364#125#6711yescharacteristic
365#124—22no—
366#124—22no—
367#124—22no—
368#124—21no—
369#124—21no—
370#124—21no—
371#124—21no—
372#124#6711yescharacteristic
373#123—22no—
374#123—22no—
375#123—22no—
376#123—21no—
377C22⋊Q8—22no—
378C22⋊Q8—21no—
379C22⋊Q8—21no—
380C22⋊Q8—22no—
381C22⋊Q8—61no—
382C22⋊Q8—61no—
383C22⋊Q8#6711yescharacteristic
384#121—22no—
385#121—22no—
386#121—21no—
387#121—21no—
388#121—21no—
389#121#6711yescharacteristic
390#121#6712yes—
391#120—22no—
392#120—22no—
393C4×Q8—21no—
394C4×Q8—61no—
395C4×Q8—61no—
396C4×Q8#6711yescharacteristic
397C4×Q8C22×D311yescharacteristic
398C4×Q8C22×D311yescharacteristic
399C4×D4—22no—
400C4×D4—22no—
401C4×D4—21no—
402C4×D4—21no—
403C4×D4—21no—
404C4×D4—21no—
405C4×D4—21no—
406C4×D4—21no—
407C4×D4—21no—
408C4×D4#6711yescharacteristic
409C4×D4#6712yes—
410C4×D4C22×D311yescharacteristic
411C4×D4C22×D311yescharacteristic
412#117—22no—
413#117—21no—
414#117—21no—
415#117—21no—
416#117—61no—
417#117#6711yescharacteristic
418C2×C22⋊C4—22no—
419C2×C22⋊C4—22no—
420C2×C22⋊C4—22no—
421C2×C42—21no—
422C2×C42C22×D311yescharacteristic
423#107—61no—
424#107—61no—
425#107—62no—
426#107—61no—
427#106—61no—
428#106—61no—
429#106—61no—
430C4⋊C8—31no—
431C4⋊C8—31no—
432C4⋊C8—31no—
433C4⋊C8—31no—
434C4⋊C8—61no—
435C4⋊C8—61no—
436#103—61no—
437#103—61no—
438#103—61no—
439#103—62no—
440#103—61no—
441#103—61no—
442#102—61no—
443#102—61no—
444#102—62no—
445#102—61no—
446#97—61no—
447C4×C8—31no—
448C4×C8—31no—
449C23×C3—21no—
450C23×C3—21no—
451C23×C3—22no—
452C23×C3—44no—
453C23×C3—82no—
454C23×C3—82no—
455C23×C3#12011yescharacteristic
456C3×Q8—21no—
457C3×Q8—21no—
458C3×Q8—21no—
459C3×Q8—21no—
460C3×Q8—41no—
461C3×Q8—41no—
462C3×Q8—82no—
463C3×D4—21no—
464C3×D4—21no—
465C3×D4—21no—
466C3×D4—42no—
467C3×D4—42no—
468C3×D4—44no—
469C3×D4—41no—
470C3×D4—41no—
471C3×D4—41no—
472C3×D4—41no—
473C3×D4—81no—
474C3×D4—82no—
475C3×D4—82no—
476C3×D4#13712yes—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
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—22no—
488C2×C3×C4—41no—
489C2×C3×C4—42no—
490C2×C3×C4—41no—
491C2×C3×C4—41no—
492C2×C3×C4—41no—
493C2×C3×C4—41no—
494C2×C3×C4—81no—
495C2×C3×C4—82no—
496C2×C3×C4—82no—
497C2×C3×C4—82no—
498C2×C3×C4#12011yescharacteristic
499C2×C3×C4#12011yescharacteristic
500C2×C3×C4#12011yescharacteristic
501C2×C3×C4C22×D411yescharacteristic
502C2×C3×C4C22×D411yescharacteristic
503C2×C3×C4C22×D411yescharacteristic
504C2×Dic3—41no—
505C2×Dic3—41no—
506Dic6—42no—
507Dic6—41no—
508Dic6—41no—
509C3⋊C8—22no—
510C3⋊C8—41no—
511C3⋊C8—41no—
512C3⋊C8—41no—
513C3⋊C8—41no—
514C3⋊C8—41no—
515C24—22no—
516#41—22no—
517#41—41no—
518#41—81no—
519#41—81no—
520C2×Q8—22no—
521C2×Q8—21no—
522C2×Q8—61no—
523C2×Q8—61no—
524C2×Q8—81no—
525C2×Q8—81no—
526C2×Q8C2×#6711yescharacteristic
527C2×Q8C2×#6711yescharacteristic
528C2×D4—22no—
529C2×D4—21no—
530C2×D4—22no—
531C2×D4—21no—
532C2×D4—22no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—81no—
538C2×D4—81no—
539C2×D4C2×#6711yescharacteristic
540C2×D4C2×#6711yescharacteristic
541C2×D4C2×#6712yes—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—22no—
549C22×C4C2×#6711yescharacteristic
550C22×C4C2×#6711yescharacteristic
551C22×C4C2×#6711yescharacteristic
552Q16—241no—
553SD16—124no—
554SD16—241no—
555M16—122no—
556M16—241no—
557C2×C8—61no—
558C2×C8—61no—
559C2×C8—61no—
560C2×C8—61no—
561C2×C8—61no—
562C2×C8—61no—
563C2×C8—122no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—61no—
574C4⋊C4—61no—
575C4⋊C4—61no—
576C4⋊C4—61no—
577C4⋊C4—121no—
578C4⋊C4—121no—
579C4⋊C4C2×#6711yescharacteristic
580C4⋊C4C2×#6711yescharacteristic
581C4⋊C4C2×#6712yes—
582C4⋊C4C2×#6711yescharacteristic
583C4⋊C4C2×#6711yescharacteristic
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C22⋊C4—21no—
592C22⋊C4—21no—
593C22⋊C4—21no—
594C22⋊C4—21no—
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—21no—
600C22⋊C4—21no—
601C22⋊C4—121no—
602C42—22no—
603C42—21no—
604C42—21no—
605C42—21no—
606C42—21no—
607C42—121no—
608C42C2×#6711yescharacteristic
609C42C2×#6711yescharacteristic
610C42C2×#6711yescharacteristic
611C42C23×D311yescharacteristic
612C22×C3—21no—
613C22×C3—22no—
614C22×C3—21no—
615C22×C3—21no—
616C22×C3—41no—
617C22×C3—41no—
618C22×C3—41no—
619C22×C3—42no—
620C22×C3—42no—
621C22×C3—41no—
622C22×C3—42no—
623C22×C3—41no—
624C22×C3—164no—
625C22×C3C2×#12011yescharacteristic
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—21no—
629C3×C4—21no—
630C3×C4—41no—
631C3×C4—41no—
632C3×C4—41no—
633C3×C4—42no—
634C3×C4—41no—
635C3×C4—41no—
636C3×C4—41no—
637C3×C4C2×#13711yescharacteristic
638C3×C4#57511yescharacteristic
639C3×C4#57611yescharacteristic
640C3×C4#57711yescharacteristic
641Dic3—81no—
642Dic3—81no—
643C23—21no—
644C23—21no—
645C23—22no—
646C23—44no—
647C23—82no—
648C23—82no—
649C23#95311yescharacteristic
650Q8—21no—
651Q8—21no—
652Q8—21no—
653Q8—21no—
654Q8—41no—
655Q8—41no—
656Q8—82no—
657Q8—122no—
658Q8—121no—
659Q8—121no—
660D4—21no—
661D4—21no—
662D4—21no—
663D4—42no—
664D4—42no—
665D4—44no—
666D4—41no—
667D4—41no—
668D4—41no—
669D4—41no—
670D4—82no—
671D4—81no—
672D4—82no—
673D4#95112yes—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—22no—
685C2×C4—41no—
686C2×C4—42no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—82no—
692C2×C4—81no—
693C2×C4—82no—
694C2×C4—82no—
695C2×C4—121no—
696C2×C4—121no—
697C2×C4#95311yescharacteristic
698C2×C4#95311yescharacteristic
699C2×C4#95311yescharacteristic
700C2×C4C22×#6711yescharacteristic
701C2×C4C22×#6711yescharacteristic
702C2×C4C22×#6711yescharacteristic
703C8—62no—
704C8—121no—
705C8—121no—
706C8—121no—
707C8—121no—
708C8—121no—
709C2×C3—41no—
710C2×C3—42no—
711C2×C3—82no—
712C2×C3—81no—
713C2×C3#300711yescharacteristic
714C2×C3#301211yescharacteristic
715C2×C3#301811yescharacteristic
716C22—21no—
717C22—22no—
718C22—21no—
719C22—21no—
720C22—41no—
721C22—41no—
722C22—41no—
723C22—42no—
724C22—42no—
725C22—41no—
726C22—42no—
727C22—41no—
728C22—164no—
729C22C2×#95311yescharacteristic
730C4—21no—
731C4—21no—
732C4—21no—
733C4—21no—
734C4—41no—
735C4—41no—
736C4—41no—
737C4—42no—
738C4—41no—
739C4—41no—
740C4—41no—
741C4—241no—
742C4—241no—
743C4#582211yescharacteristic
744C4C2×#95111yescharacteristic
745C4#583511yescharacteristic
746C4#583611yescharacteristic
747C3#1859511yescharacteristic, complemented, Sylow
748C2—41no—
749C2—42no—
750C2—81no—
751C2—82no—
752C2#8408411yescharacteristic
753C2#8410211yescharacteristic
754C2#8412111yescharacteristic
subgroupG/H
centerC22C2×#953
commutator, cosocleC3×C42C24
FrattiniC42C23×D3
Fitting, prime radicalC3×#3514C2
socleC22×C3C2×#120
hypercenter#3514D3
hypocenterC3#18595
LCSG ▷ C3×C42 ▷ C22×C3 ▷ C3
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3514

Complements

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

NH ≅ G/Ntype
2. #83294C2semidirect
3. #83156C2semidirect
4. #82507C2semidirect
5. #71945C2semidirect
6. #71944C2semidirect
7. #71933C2semidirect
8. #71932C2semidirect
9. #71916C2semidirect
10. #71915C2semidirect
11. #71908C2semidirect
12. #71907C2semidirect
13. #71806C2semidirect
14. #71751C2semidirect
15. #71641C2semidirect
34. #5470C22semidirect
36. #5093C22semidirect
37. #5078C22semidirect
45. #5031C22semidirect
47. #5021C22semidirect
48. #5021C22semidirect
49. #5020C22semidirect
57. #4924C22semidirect
58. C2×C4⋊(C3⋊C8)C22semidirect
59. C4×#208C22semidirect
60. #4547C22semidirect
61. #4547C22semidirect
64. #4535C22semidirect
65. #4535C22semidirect
66. #4535C22semidirect
67. #4535C22semidirect
747. C3#18595semidirect

Maximal subgroups

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

subgroupindex
C3×#35142
#832942
#831562
#825072
#719452
#719442
#719332
#719322
#719162
#719152
#719082
#719072
#718062
#717512
#716412
#185953