Finite Group Databasebeta

← #11662443

Subgroups — #11662443

Order 768.

2722 conjugacy classes of subgroups.

The subgroup lattice has 794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3449C211yesmaximal, characteristic, complemented
2#87268C211yesmaximal, characteristic, complemented
3C2×#5822C211yesmaximal, characteristic, complemented
4C22×#948C211yesmaximal, characteristic, complemented
5C2×#5233C211yesmaximal, characteristic, complemented
6#83423C214yesmaximal, complemented
7#83422C214yesmaximal, complemented
8#83400C214yesmaximal, complemented
9#83379C214yesmaximal, complemented
10#82923C214yesmaximal, complemented
11#82922C214yesmaximal, complemented
12C2×#5002C211yesmaximal, characteristic, complemented
13#82207C211yesmaximal, characteristic, complemented
14#60453—31nomaximal, Sylow
15C22×C3×#41C2211yescharacteristic
16C22×C3×#41C2211yescharacteristic
17C22×#235C2211yescharacteristic
18C3×#537C2214yes—
19C3×#536—21no—
20C3×#536C2212yescomplemented
21C3×#535—21no—
22C3×#535C2212yescomplemented
23C3×#534—22no—
24C3×#532—22no—
25C3×#525—22no—
26C3×#525C2214yescomplemented
27C2×C3×#117C2211yescharacteristic
28#5833C2214yes—
29#5832—22no—
30#5830C2212yescomplemented
31#5828—22no—
32#5825C2212yescomplemented
33C2×#951C2212yescomplemented
34#5822—28no—
35C2×#950C2214yes—
36C2×#949C2212yescomplemented
37C2×#948—28no—
38C2×#948C2214yescomplemented
39C2×#948C2214yescomplemented
40#5816—21no—
41C2×#942C2212yescomplemented
42#5805—21no—
43#5804—22no—
44C2×#932C2212yescomplemented
45#5791C2214yescomplemented
46C2×#926C2211yescharacteristic
47C22×#208C2211yescharacteristic
48C22×#208C2212yescomplemented
49C23×C3⋊C8C2211yescharacteristic
50C23×C3⋊C8C2212yescomplemented
51#5233C2214yescomplemented
52#5233C2212yescomplemented
53#5233C2212yescomplemented
54C2×#835C2212yescomplemented
55C2×#832C2212yescomplemented
56#5052C2218yescomplemented
57#5051C2218yescomplemented
58#5049C2218yescomplemented
59#5048C2218yescomplemented
60#5042C2218yescomplemented
61#5041C2218yescomplemented
62#5039C2218yescomplemented
63#5038C2218yescomplemented
64#5002C2214yescomplemented
65#5002C2212yescomplemented
66#5002C2212yescomplemented
67#4998C2214yescomplemented
68#4995C2214yescomplemented
69C2×#810C2212yescomplemented
70C2×#809C2212yescomplemented
71#4964C2214yescomplemented
72C2×#575—31no—
73C22×#131—31no—
74#3449—31no—
75#3449D311yescharacteristic, complemented
76#3063—34no—
77#3063—34no—
78#3062—34no—
79#3062—34no—
80#3054—34no—
81#3050—34no—
82#2911—31no—
83C2×#416—31no—
84C2×#416—31no—
85C2×C3×#41—24no—
86C2×C3×#41—21no—
87C2×C3×#41—21no—
88C2×C3×#41—24no—
89C2×C3×#41—24no—
90C2×C3×#41—24no—
91C2×C3×#41D412yes—
92C2×C3×#41D412yes—
93C2×C3×#41C2312yes—
94C2×C3×#41C2312yes—
95C2×C3×#41C2312yes—
96C2×C3×#41C2312yes—
97C22×C3×Q8D411yescharacteristic
98C22×C3×Q8C2311yescharacteristic
99C22×C3×D4—21no—
100C22×C3×D4D412yes—
101C22×C3×D4D411yescharacteristic
102C22×C3×D4C2311yescharacteristic
103C23×C3×C4—21no—
104C23×C3×C4C2312yes—
105C23×C3×C4C2311yescharacteristic
106C22×#67—21no—
107C2×#235—21no—
108C2×#235—21no—
109C2×#235—24no—
110C2×#235—24no—
111C2×#235C2312yes—
112C2×#235C2312yes—
113C22×D12C2311yescharacteristic
114C22×C4×D3—21no—
115C22×Dic6C2311yescharacteristic
116C3×C4⋊Q8—22no—
117C3×#127—22no—
118C3×#124—22no—
119C3×#124—22no—
120C3×#123—24no—
121C3×#123—24no—
122C3×C22⋊Q8—24no—
123C3×C22⋊Q8C2318yes—
124C3×#121—24no—
125C3×#121—28no—
126C3×#121C2318yes—
127C3×#120—24no—
128C3×#120—24no—
129C3×C4×D4—28no—
130C3×#117—21no—
131C3×#117—21no—
132C3×#117C2312yes—
133C3×#117C2312yes—
134C2×C3×C4⋊C4C2312yes—
135C2×C3×C22⋊C4—21no—
136C2×C3×C42—21no—
137#953—24no—
138C2×#217—21no—
139#951—28no—
140#950—216no—
141#949—28no—
142#948—216no—
143#948—216no—
144#947—22no—
145#946—24no—
146#944—22no—
147C2×#216C2314yes—
148#942—28no—
149C2×#215C2314yes—
150#940—22no—
151#939—28no—
152#938—24no—
153#937—24no—
154#936—22no—
155#935—24no—
156C2×#214C2314yes—
157#932—28no—
158C2×#213C2314yes—
159#930C2318yes—
160#929—24no—
161C4×#67—28no—
162#926—21no—
163#926—21no—
164#926C2312yes—
165#926C2312yes—
166C2×C4⋊Dic3C2312yes—
167#924C2318yes—
168C2×C4×Dic3—21no—
169C2×#208—28no—
170C2×#208D418yescomplemented
171C2×#208C2318yes—
172C2×#208C2312yes—
173C2×#208C2312yes—
174C22×C3⋊C8—24no—
175C22×C3⋊C8—28no—
176C22×C3⋊C8C2312yes—
177C22×C3⋊C8C2312yes—
178C22×C3⋊C8C2311yescharacteristic
179C22×C3⋊C8C2311yescharacteristic
180C22×C3⋊C8C2318yes—
181C22×C3⋊C8C2312yes—
182#835C2314yes—
183#835C2314yes—
184#832C2314yes—
185#832C2314yes—
186#810C2314yes—
187#810C2314yes—
188#809C2314yes—
189#809C2314yes—
190#808C2318yes—
191#807C2318yes—
192C22×#41—31no—
193C22×#41C2×D311yescharacteristic
194C22×#41C2×D311yescharacteristic
195#575—68no—
196C2×#137—32no—
197C2×#137—32no—
198C2×AGL(1,ℤ/8)—32no—
199C2×AGL(1,ℤ/8)—32no—
200C2×#135—34no—
201C2×#131—34no—
202C2×#131—34no—
203C2×#131—68no—
204C22×M16—31no—
205C22×M16—32no—
206C23×C8—31no—
207C23×C8—32no—
208#537—34no—
209#537C2×D314yes—
210#536—21no—
211#536—32no—
212#536—61no—
213#536C2×D312yescomplemented
214#535—21no—
215#535—32no—
216#535—61no—
217#535C2×D312yescomplemented
218#534—22no—
219#534—62no—
220#532—22no—
221#532—62no—
222#525—22no—
223#525—34no—
224#525—62no—
225#525C2×D314yescomplemented
226C2×#117—31no—
227C2×#117C2×D311yescharacteristic
228#470—38no—
229#469—38no—
230#468—38no—
231#468—38no—
232#467—38no—
233#466—38no—
234#465—38no—
235#465—38no—
236#428—34no—
237#428—34no—
238#427—34no—
239#416—32no—
240#416—32no—
241#416—34no—
242#416—32no—
243#416—32no—
244#416—34no—
245C2×#103—32no—
246C2×#103—32no—
247C2×#102—32no—
248C2×#102—32no—
249C24×C3—21no—
250C24×C3C2×D412yes—
251C24×C3C2×D411yescharacteristic
252C23×D3—21no—
253C3×#41—28no—
254C3×#41—28no—
255C3×#41—24no—
256C3×#41—24no—
257C3×#41—24no—
258C3×#41—24no—
259C3×#41—24no—
260C3×#41—24no—
261C3×#41—24no—
262C3×#41—24no—
263C3×#41—44no—
264C3×#41—44no—
265C2×C3×Q8—24no—
266C2×C3×Q8—21no—
267C2×C3×Q8—22no—
268C2×C3×Q8—22no—
269C2×C3×Q8C2×D412yes—
270C2×C3×Q8C2×D412yes—
271C2×C3×Q8C2412yes—
272C2×C3×D4—28no—
273C2×C3×D4—22no—
274C2×C3×D4—22no—
275C2×C3×D4—28no—
276C2×C3×D4—24no—
277C2×C3×D4—22no—
278C2×C3×D4—21no—
279C2×C3×D4—22no—
280C2×C3×D4—44no—
281C2×C3×D4C2×D414yes—
282C2×C3×D4C2×D412yes—
283C2×C3×D4C2×D412yes—
284C2×C3×D4C2×D414yes—
285C2×C3×D4C2412yes—
286C22×C3×C4—24no—
287C22×C3×C4—24no—
288C22×C3×C4—21no—
289C22×C3×C4—22no—
290C22×C3×C4—22no—
291C22×C3×C4—22no—
292C22×C3×C4—44no—
293C22×C3×C4C2×D414yes—
294C22×C3×C4C2×D414yes—
295C22×C3×C4C2×D412yes—
296C22×C3×C4C2×D411yescharacteristic
297C22×C3×C4C2×D411yescharacteristic
298C22×C3×C4C2×D411yescharacteristic
299C22×C3×C4#4114yes—
300C22×C3×C4C2414yes—
301C22×C3×C4C2411yescharacteristic
302C22×C3×C4C2411yescharacteristic
303C22×C3×C4C2411yescharacteristic
304C2×#67—22no—
305C2×#67—22no—
306C2×#67—28no—
307C2×#67—44no—
308C22×Dic3—21no—
309C22×Dic3—22no—
310#235—24no—
311#235—24no—
312#235—24no—
313#235—24no—
314#235—44no—
315#235—44no—
316C2×D12—22no—
317C2×D12—22no—
318C2×D12—21no—
319C2×D12C2412yes—
320C2×C4×D3—22no—
321C2×C4×D3—22no—
322C2×C4×D3—44no—
323C2×Dic6—22no—
324C2×Dic6—22no—
325C2×Dic6—21no—
326C2×Dic6C2412yes—
327C3×C4⋊C4—22no—
328C3×C4⋊C4—28no—
329C3×C4⋊C4C2414yes—
330C3×C22⋊C4—22no—
331C3×C22⋊C4—22no—
332C3×C22⋊C4—28no—
333C3×C22⋊C4—28no—
334C3×C42—22no—
335C3×C42—22no—
336#217—28no—
337#217—22no—
338#217—22no—
339#216—28no—
340#215—28no—
341#214—28no—
342#213—28no—
343(C2×D3)⋊C4—28no—
344C4⋊Dic3—22no—
345C4⋊Dic3C2414yes—
346Dic3⋊C4—28no—
347C4×Dic3—22no—
348C4×Dic3—22no—
349#208—216no—
350#208C2×D418yes—
351#208C2×D418yes—
352C2×C3⋊C8—22no—
353C2×C3⋊C8—22no—
354C2×C3⋊C8—24no—
355C2×C3⋊C8—24no—
356C2×C3⋊C8—216no—
357C2×C3⋊C8C2×D418yes—
358C2×C3⋊C8C2412yes—
359C2×C3⋊C8C2412yes—
360C2×C3⋊C8C2414yes—
361C2×#41—24no—
362C2×#41—24no—
363C2×#41—21no—
364C2×#41—21no—
365C2×#41—24no—
366C2×#41—24no—
367C2×#41—32no—
368C2×#41—32no—
369C2×#41—61no—
370C2×#41—61no—
371C2×#41—64no—
372C2×#41—64no—
373C2×#41#6712yes—
374C2×#41#6712yes—
375C2×#41C22×D312yes—
376C2×#41C22×D312yes—
377C2×#41C22×D312yes—
378C2×#41C22×D312yes—
379C22×Q8—31no—
380C22×Q8#6711yescharacteristic
381C22×Q8C22×D311yescharacteristic
382C22×D4—21no—
383C22×D4—31no—
384C22×D4—61no—
385C22×D4#6712yes—
386C22×D4#6711yescharacteristic
387C22×D4C22×D311yescharacteristic
388C23×C4—21no—
389C23×C4—61no—
390C23×C4C22×D312yes—
391C23×C4C22×D311yescharacteristic
392#137—68no—
393#137—68no—
394AGL(1,ℤ/8)—68no—
395AGL(1,ℤ/8)—68no—
396#135—616no—
397C2×Q16—34no—
398C2×SD16—34no—
399C2×SD16—34no—
400C2×D8—34no—
401#131—616no—
402#131—616no—
403C2×M16—38no—
404C2×M16—32no—
405C2×M16—32no—
406C2×M16—38no—
407C2×M16—68no—
408C22×C8—32no—
409C22×C8—31no—
410C22×C8—31no—
411C22×C8—32no—
412C22×C8—32no—
413C22×C8—38no—
414C22×C8—68no—
415C22×C8—64no—
416C4⋊Q8—22no—
417C4⋊Q8—62no—
418#127—22no—
419#127—62no—
420#124—22no—
421#124—22no—
422#124—62no—
423#124—62no—
424#123—24no—
425#123—24no—
426#123—64no—
427#123—64no—
428C22⋊Q8—24no—
429C22⋊Q8—38no—
430C22⋊Q8—64no—
431C22⋊Q8C22×D318yes—
432#121—24no—
433#121—28no—
434#121—38no—
435#121—64no—
436#121—68no—
437#121C22×D318yes—
438#120—24no—
439#120—24no—
440#120—64no—
441#120—64no—
442C4×D4—28no—
443C4×D4—68no—
444#117—21no—
445#117—21no—
446#117—32no—
447#117—32no—
448#117—61no—
449#117—61no—
450#117C22×D312yes—
451#117C22×D312yes—
452C2×C4⋊C4—32no—
453C2×C4⋊C4C22×D312yes—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—61no—
456C2×C42—21no—
457C2×C42—61no—
458#107—38no—
459#106—38no—
460#103—34no—
461#103—34no—
462#103—34no—
463#103—34no—
464#102—34no—
465#102—34no—
466#102—34no—
467#102—34no—
468C23×C3—24no—
469C23×C3—22no—
470C23×C3—42no—
471C23×C3—44no—
472C23×C3—42no—
473C23×C3—82no—
474C23×C3#12114yes—
475C23×C3C22×D414yes—
476C23×C3C22×D411yescharacteristic
477C23×C3C22×D411yescharacteristic
478C23×C3C22×D411yescharacteristic
479C22×D3—22no—
480C22×D3—42no—
481C22×D3—82no—
482C3×Q8—24no—
483C3×Q8—24no—
484C3×Q8—22no—
485C3×Q8—22no—
486C3×Q8—42no—
487C3×D4—28no—
488C3×D4—28no—
489C3×D4—24no—
490C3×D4—24no—
491C3×D4—22no—
492C3×D4—22no—
493C3×D4—44no—
494C3×D4—44no—
495C3×D4—42no—
496C3×D4—88no—
497C2×C3×C4—24no—
498C2×C3×C4—28no—
499C2×C3×C4—24no—
500C2×C3×C4—24no—
501C2×C3×C4—24no—
502C2×C3×C4—22no—
503C2×C3×C4—42no—
504C2×C3×C4—44no—
505C2×C3×C4—44no—
506C2×C3×C4—82no—
507C2×C3×C4#12114yes—
508C2×C3×C4#12114yes—
509C2×C3×C4#12114yes—
510C2×C3×C4C22×D412yes—
511C2×C3×C4C22×D412yes—
512C2×C3×C4C22×D412yes—
513C2×C3×C4C22×D414yes—
514C2×C3×C4C22×D411yescharacteristic
515C2×C3×C4C22×D411yescharacteristic
516C2×C3×C4C22×D411yescharacteristic
517C2×C3×C4C2×#4112yes—
518C2×C3×C4C2×#4112yes—
519C2×C3×C4C2×#4112yes—
520C2×C3×C4C2511yescharacteristic
521#67—44no—
522#67—44no—
523#67—88no—
524C2×Dic3—24no—
525C2×Dic3—22no—
526C2×Dic3—42no—
527C2×Dic3—82no—
528D12—22no—
529D12—22no—
530D12—42no—
531C4×D3—44no—
532C4×D3—44no—
533Dic6—22no—
534Dic6—22no—
535Dic6—42no—
536C3⋊C8—22no—
537C3⋊C8—22no—
538C3⋊C8C22×D418yes—
539C24—21no—
540C24—61no—
541C24C2×#6712yes—
542C24C2×#6711yescharacteristic
543#41—28no—
544#41—28no—
545#41—24no—
546#41—24no—
547#41—24no—
548#41—24no—
549#41—24no—
550#41—24no—
551#41—24no—
552#41—24no—
553#41—44no—
554#41—44no—
555#41—64no—
556#41—64no—
557#41—64no—
558#41—64no—
559#41—124no—
560#41—124no—
561C2×Q8—24no—
562C2×Q8—21no—
563C2×Q8—22no—
564C2×Q8—22no—
565C2×Q8—32no—
566C2×Q8—61no—
567C2×Q8—62no—
568C2×Q8—62no—
569C2×Q8C2×#6712yes—
570C2×Q8C2×#6712yes—
571C2×Q8C23×D312yes—
572C2×D4—28no—
573C2×D4—22no—
574C2×D4—22no—
575C2×D4—28no—
576C2×D4—24no—
577C2×D4—22no—
578C2×D4—22no—
579C2×D4—21no—
580C2×D4—32no—
581C2×D4—44no—
582C2×D4—62no—
583C2×D4—62no—
584C2×D4—68no—
585C2×D4—62no—
586C2×D4—62no—
587C2×D4—61no—
588C2×D4—124no—
589C2×D4C2×#6714yes—
590C2×D4C2×#6714yes—
591C2×D4C2×#6712yes—
592C2×D4C2×#6712yes—
593C2×D4C23×D312yes—
594C22×C4—24no—
595C22×C4—24no—
596C22×C4—21no—
597C22×C4—22no—
598C22×C4—22no—
599C22×C4—22no—
600C22×C4—44no—
601C22×C4—61no—
602C22×C4—62no—
603C22×C4—62no—
604C22×C4—62no—
605C22×C4—124no—
606C22×C4D3×D414yes—
607C22×C4#23714yes—
608C22×C4C2×#6712yes—
609C22×C4C2×#6714yes—
610C22×C4C2×#6711yescharacteristic
611C22×C4C2×#6711yescharacteristic
612C22×C4C2×#6711yescharacteristic
613C22×C4C23×D314yes—
614C22×C4C23×D311yescharacteristic
615C22×C4C23×D311yescharacteristic
616C22×C4C23×D311yescharacteristic
617Q16—68no—
618SD16—68no—
619SD16—68no—
620D8—68no—
621M16—38no—
622M16—38no—
623M16—616no—
624C2×C8—38no—
625C2×C8—34no—
626C2×C8—32no—
627C2×C8—32no—
628C2×C8—616no—
629C2×C8—62no—
630C2×C8—62no—
631C2×C8—64no—
632C2×C8—64no—
633C4⋊C4—22no—
634C4⋊C4—28no—
635C4⋊C4—34no—
636C4⋊C4—62no—
637C4⋊C4—68no—
638C4⋊C4C23×D314yes—
639C22⋊C4—22no—
640C22⋊C4—22no—
641C22⋊C4—28no—
642C22⋊C4—28no—
643C22⋊C4—62no—
644C22⋊C4—62no—
645C22⋊C4—68no—
646C22⋊C4—68no—
647C42—22no—
648C42—22no—
649C42—62no—
650C42—62no—
651C22×C3—22no—
652C22×C3—22no—
653C22×C3—22no—
654C22×C3—28no—
655C22×C3—24no—
656C22×C3—44no—
657C22×C3—48no—
658C22×C3—44no—
659C22×C3—42no—
660C22×C3—84no—
661C22×C3C2×#12112yes—
662C22×C3C2×#12112yes—
663C22×C3C2×#12112yes—
664C22×C3C23×D411yescharacteristic
665C2×D3—44no—
666C2×D3—42no—
667C2×D3—84no—
668C3×C4—24no—
669C3×C4—44no—
670C3×C4—42no—
671C3×C4C2×#12112yes—
672C3×C4C2×#12112yes—
673C3×C4C2×#12112yes—
674C3×C4C23×D411yescharacteristic
675C3×C4C22×#4111yescharacteristic
676Dic3—44no—
677Dic3—42no—
678C23—24no—
679C23—22no—
680C23—42no—
681C23—44no—
682C23—42no—
683C23—62no—
684C23—82no—
685C23—122no—
686C23—242no—
687C23#93914yes—
688C23C22×#6714yes—
689C23C22×#6711yescharacteristic
690C23C22×#6711yescharacteristic
691C23C22×#6711yescharacteristic
692Q8—24no—
693Q8—24no—
694Q8—22no—
695Q8—22no—
696Q8—42no—
697Q8—62no—
698Q8—62no—
699Q8—122no—
700D4—28no—
701D4—28no—
702D4—22no—
703D4—22no—
704D4—24no—
705D4—24no—
706D4—44no—
707D4—44no—
708D4—42no—
709D4—62no—
710D4—62no—
711D4—88no—
712D4—124no—
713D4—124no—
714D4—122no—
715D4—248no—
716C2×C4—24no—
717C2×C4—24no—
718C2×C4—24no—
719C2×C4—28no—
720C2×C4—24no—
721C2×C4—22no—
722C2×C4—42no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—64no—
726C2×C4—62no—
727C2×C4—82no—
728C2×C4—122no—
729C2×C4—124no—
730C2×C4—124no—
731C2×C4—242no—
732C2×C4#93914yes—
733C2×C4#93914yes—
734C2×C4#93914yes—
735C2×C4C2×D3×D412yes—
736C2×C4C2×D3×D412yes—
737C2×C4C2×D3×D412yes—
738C2×C4C2×#23712yes—
739C2×C4C2×#23712yes—
740C2×C4C2×#23712yes—
741C2×C4C22×#6714yes—
742C2×C4C22×#6711yescharacteristic
743C2×C4C22×#6711yescharacteristic
744C2×C4C22×#6711yescharacteristic
745C2×C4C24×D311yescharacteristic
746C8—38no—
747C8—62no—
748C8—62no—
749C2×C3—22no—
750C2×C3—22no—
751C2×C3—22no—
752C2×C3—44no—
753C2×C3—82no—
754C2×C3C22×#12111yescharacteristic
755C2×C3#358412yes—
756D3—82no—
757C22—22no—
758C22—22no—
759C22—22no—
760C22—28no—
761C22—24no—
762C22—44no—
763C22—48no—
764C22—44no—
765C22—42no—
766C22—84no—
767C22—124no—
768C22—122no—
769C22—244no—
770C22C2×#93912yes—
771C22C2×#93912yes—
772C22C2×#93912yes—
773C22C23×#6711yescharacteristic
774C4—24no—
775C4—44no—
776C4—42no—
777C4—124no—
778C4—122no—
779C4C2×#93912yes—
780C4C2×#93912yes—
781C4C2×#93912yes—
782C4C22×D3×D411yescharacteristic
783C4C22×#23711yescharacteristic
784C3#6045311yescharacteristic, complemented, Sylow
785C2—22no—
786C2—22no—
787C2—22no—
788C2—44no—
789C2—82no—
790C2—242no—
791C2C22×#93911yescharacteristic
792C2#8729712yes—
subgroupG/H
centerC2×C4C22×#67
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3449C2
socleC22×C3C23×D4
hypercenter#3449D3
hypocenterC3#60453
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ C22×#41 ◁ #3449

Complements

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

NH ≅ G/Ntype
1. C3×#3449C2semidirect
2. #87268C2semidirect
3. C2×#5822C2semidirect
4. C22×#948C2semidirect
5. C2×#5233C2semidirect
6. #83423C2semidirect
7. #83422C2semidirect
8. #83400C2semidirect
9. #83379C2semidirect
10. #82923C2semidirect
11. #82922C2semidirect
12. C2×#5002C2semidirect
13. #82207C2semidirect
20. C3×#536C22semidirect
22. C3×#535C22semidirect
26. C3×#525C22semidirect
30. #5830C22semidirect
32. #5825C22semidirect
33. C2×#951C22semidirect
36. C2×#949C22semidirect
38. C2×#948C22semidirect
39. C2×#948C22semidirect
41. C2×#942C22semidirect
44. C2×#932C22semidirect
45. #5791C22semidirect
48. C22×#208C22semidirect
50. C23×C3⋊C8C22semidirect
51. #5233C22semidirect
52. #5233C22semidirect
53. #5233C22semidirect
54. C2×#835C22semidirect
55. C2×#832C22semidirect
56. #5052C22semidirect
57. #5051C22semidirect
58. #5049C22semidirect
59. #5048C22semidirect
60. #5042C22semidirect
61. #5041C22semidirect
62. #5039C22semidirect
63. #5038C22semidirect
64. #5002C22semidirect
65. #5002C22semidirect
66. #5002C22semidirect
67. #4998C22semidirect
68. #4995C22semidirect
69. C2×#810C22semidirect
70. C2×#809C22semidirect
71. #4964C22semidirect
75. #3449D3semidirect
170. C2×#208D4semidirect
213. #536C2×D3semidirect
217. #535C2×D3semidirect
225. #525C2×D3semidirect
784. C3#60453semidirect

Maximal subgroups

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

subgroupindex
C3×#34492
#872682
C2×#58222
C22×#9482
C2×#52332
#834232
#834222
#834002
#833792
#829232
#829222
C2×#50022
#822072
#604533