Finite Group Databasebeta

← #10973005

Subgroups — #10973005

Order 768.

3398 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#535C211yesmaximal, characteristic, complemented
2C2×#5833C211yesmaximal, characteristic, complemented
3C2×Dic3×#41C211yesmaximal, characteristic, complemented
4C2×#5805C211yesmaximal, characteristic, complemented
5C2×#5221C211yesmaximal, characteristic, complemented
6#83186C214yesmaximal, complemented
7#82995C214yesmaximal, complemented
8#82700C212yesmaximal, complemented
9#82698C212yesmaximal, complemented
10#82677C212yesmaximal, complemented
11#82676C212yesmaximal, complemented
12#82587C218yesmaximal, complemented
13#82234C211yesmaximal, characteristic, complemented
14#82228C211yesmaximal, characteristic, complemented
15#35256—31nomaximal, Sylow
16C22×C3×#41C2211yescharacteristic
17C23×C3×D4C2211yescharacteristic
18C22×#235C2211yescharacteristic
19C3×#535—28no—
20C2×C3×#127C2212yes—
21C2×C3×#124C2212yes—
22C2×C3×#121C2212yes—
23C2×C3×#121C2212yes—
24C2×C3×#120C2214yes—
25C2×C3×#117C2211yescharacteristic
26C2×#953C2214yes—
27C22×#217C2214yes—
28#5833—28no—
29Dic3×#41—28no—
30C2×#946C2212yescomplemented
31C2×Q8×Dic3C2212yescomplemented
32#5805—28no—
33C2×#940C2212yes—
34C2×#939C2214yes—
35C2×#939C2218yescomplemented
36C2×#938C2214yes—
37C2×#938C2212yescomplemented
38C2×#936C2212yes—
39C2×D4×Dic3C2214yes—
40C2×D4×Dic3C2212yescomplemented
41C2×#930C2212yescomplemented
42C2×#926C2211yescharacteristic
43C2×#926C2212yescomplemented
44C22×C4⋊Dic3C2211yescharacteristic
45C2×#924C2212yescomplemented
46C22×C4×Dic3C2211yescharacteristic
47C22×C4×Dic3C2212yescomplemented
48#5223C2218yescomplemented
49#5222C2218yescomplemented
50#5221C2212yes—
51#5221C2214yes—
52#5221C2212yes—
53#5220C2218yescomplemented
54#4988C2211yescharacteristic, complemented
55#4988C2211yescharacteristic, complemented
56#4977C2212yescomplemented
57#4975C2212yescomplemented
58#4973C2211yescharacteristic, complemented
59#4973C2211yescharacteristic, complemented
60#4961C2218yescomplemented
61#4958C2214yes—
62#4957C2218yescomplemented
63#4948C2218yescomplemented
64#4946C2214yes—
65#4945C2218yescomplemented
66C4×(C2×D3)⋊C4C2214yescomplemented
67#4928C2214yescomplemented
68C2×#537—31no—
69C2×#535—31no—
70C2×#535D311yescharacteristic, complemented
71C2×C4×#41—31no—
72#2856—32no—
73#2850—32no—
74#2620—32no—
75#2619—32no—
76#2428—34no—
77#2426—34no—
78#2424—38no—
79#2317—31no—
80#2297—31no—
81C2×#390—31no—
82C25×C3C2312yes—
83C2×C3×#41—24no—
84C2×C3×#41—24no—
85C2×C3×#41D418yescomplemented
86C22×C3×Q8C2311yescharacteristic
87C22×C3×D4—24no—
88C22×C3×D4—24no—
89C22×C3×D4—24no—
90C22×C3×D4C2312yes—
91C22×C3×D4C2312yes—
92C22×C3×D4C2312yes—
93C22×C3×D4C2311yescharacteristic
94C22×C3×D4C2314yes—
95C22×C3×D4C2314yes—
96C23×C3×C4C2312yes—
97C23×C3×C4C2311yescharacteristic
98C22×#67C2312yes—
99C22×#67C2318yes—
100C22×#67C2314yes—
101C23×Dic3C2312yes—
102C23×Dic3C2314yes—
103C23×Dic3C2312yes—
104C2×#235—24no—
105C2×#235—24no—
106C2×#235—24no—
107C22×D12C2311yescharacteristic
108C22×C4×D3C2312yes—
109C22×Dic6C2311yescharacteristic
110C3×#127—28no—
111C3×#124—28no—
112C3×#121—28no—
113C3×#121—28no—
114C3×#120—216no—
115C3×#117—24no—
116C2×C3×C4⋊C4C2311yescharacteristic
117C2×C3×C4⋊C4C2311yescharacteristic
118C2×C3×C22⋊C4C2314yes—
119C2×C3×C22⋊C4C2312yes—
120C2×C3×C22⋊C4C2314yes—
121C2×C3×C42C2312yes—
122#953—216no—
123C2×#217—48no—
124C2×#217C2318yes—
125C2×#217C2318yes—
126C2×#217C2314yes—
127C2×#217C2314yes—
128C2×#217C2318yes—
129C2×#217C2312yes—
130#946—28no—
131Q8×Dic3—28no—
132#940—28no—
133#939—216no—
134#939—416no—
135#938—28no—
136#938—216no—
137#936—28no—
138D4×Dic3—216no—
139D4×Dic3—28no—
140#930—28no—
141C2×(C2×D3)⋊C4C2314yes—
142C2×(C2×D3)⋊C4C2314yes—
143C2×(C2×D3)⋊C4C2314yes—
144#926—28no—
145#926D418yescomplemented
146C2×C4⋊Dic3—24no—
147C2×C4⋊Dic3C2312yes—
148C2×C4⋊Dic3C2314yes—
149C2×C4⋊Dic3C2312yes—
150C2×C4⋊Dic3C2312yes—
151#924—28no—
152C2×Dic3⋊C4C2314yes—
153C2×Dic3⋊C4C2318yes—
154C2×C4×Dic3—24no—
155C2×C4×Dic3—28no—
156C2×C4×Dic3C2312yes—
157C2×C4×Dic3C2314yes—
158C2×C4×Dic3C2311yescharacteristic
159C2×C4×Dic3C2311yescharacteristic
160C2×C4×Dic3C2312yes—
161C3⋊#95C2318yes—
162C3⋊#95C2314yes—
163C3⋊#95C2314yes—
164C22×#41—31no—
165C22×#41C2×D311yescharacteristic
166C23×D4C2×D311yescharacteristic
167#537—68no—
168#535—28no—
169#535—68no—
170C2×#127—32no—
171C2×#127C2×D312yes—
172C2×#124—32no—
173C2×#124C2×D312yes—
174C2×C22⋊Q8—32no—
175C2×C22⋊Q8—32no—
176C2×#121—34no—
177C2×#121—34no—
178C2×#121—32no—
179C2×#121—32no—
180C2×#121—38no—
181C2×#121C2×D312yes—
182C2×#121C2×D312yes—
183C2×#120—34no—
184C2×#120C2×D314yes—
185C4×#41—68no—
186C2×C4×Q8—32no—
187C2×C4×D4—34no—
188C2×C4×D4—32no—
189C2×#117—31no—
190C2×#117—32no—
191C2×#117C2×D311yescharacteristic
192C22×C4⋊C4—31no—
193C22×C22⋊C4—34no—
194C22×C42—32no—
195C22×C42—31no—
196#396—38no—
197#394—38no—
198#394—38no—
199#392—38no—
200#391—31no—
201#391—31no—
202#390—32no—
203#390—32no—
204#390—34no—
205#390—31no—
206#390—31no—
207#390—38no—
208#389—34no—
209#388—38no—
210#386—38no—
211#386—34no—
212#385—34no—
213#384—32no—
214#382—32no—
215C4×C22⋊C4—34no—
216C24×C3—24no—
217C24×C3—24no—
218C24×C3—24no—
219C24×C3—44no—
220C24×C3—44no—
221C24×C3C2414yes—
222C24×C3C2412yes—
223C24×C3C2411yescharacteristic
224C23×D3C2412yes—
225C3×#41—232no—
226C2×C3×Q8—22no—
227C2×C3×Q8—22no—
228C2×C3×Q8C2×D414yes—
229C2×C3×D4—24no—
230C2×C3×D4—24no—
231C2×C3×D4—28no—
232C2×C3×D4—28no—
233C2×C3×D4—22no—
234C2×C3×D4—24no—
235C2×C3×D4—24no—
236C2×C3×D4—24no—
237C2×C3×D4—24no—
238C2×C3×D4—22no—
239C2×C3×D4—24no—
240C2×C3×D4—24no—
241C2×C3×D4—48no—
242C2×C3×D4—48no—
243C2×C3×D4—416no—
244C2×C3×D4C2×D414yes—
245C2×C3×D4C2×D418yes—
246C22×C3×C4—24no—
247C22×C3×C4—24no—
248C22×C3×C4C2×D414yes—
249C22×C3×C4C2×D418yes—
250C22×C3×C4C2×D414yes—
251C22×C3×C4#4114yes—
252C22×C3×C4C2412yes—
253C22×C3×C4C2412yes—
254C22×C3×C4C2412yes—
255C22×C3×C4C2411yescharacteristic
256C22×C3×C4C2411yescharacteristic
257C2×#67—24no—
258C2×#67—24no—
259C2×#67—24no—
260C2×#67—28no—
261C2×#67—216no—
262C2×#67—48no—
263C2×#67—48no—
264C2×#67—48no—
265C22×Dic3—24no—
266C22×Dic3—24no—
267C22×Dic3—28no—
268C22×Dic3—28no—
269C22×Dic3—24no—
270C22×Dic3—44no—
271C22×Dic3—42no—
272C22×Dic3—44no—
273C22×Dic3C2412yes—
274C22×Dic3C2412yes—
275C22×Dic3C2414yes—
276C22×Dic3C2414yes—
277C22×Dic3C2412yes—
278#235—416no—
279C2×D12—22no—
280C2×D12—22no—
281C2×D12—22no—
282C2×C4×D3—24no—
283C2×C4×D3—24no—
284C2×C4×D3—24no—
285C2×Dic6—22no—
286C2×Dic6—22no—
287C2×Dic6—22no—
288C3×C4⋊C4—22no—
289C3×C4⋊C4—22no—
290C3×C22⋊C4—24no—
291C3×C22⋊C4—28no—
292C3×C22⋊C4—28no—
293C3×C42—24no—
294#217—28no—
295#217—28no—
296#217—216no—
297#217—216no—
298#217—48no—
299#217C2×D418yes—
300(C2×D3)⋊C4—28no—
301(C2×D3)⋊C4—28no—
302(C2×D3)⋊C4—44no—
303C4⋊Dic3—24no—
304C4⋊Dic3—24no—
305C4⋊Dic3—28no—
306C4⋊Dic3C2×D418yes—
307Dic3⋊C4—28no—
308Dic3⋊C4—48no—
309C4×Dic3—22no—
310C4×Dic3—22no—
311C4×Dic3—24no—
312C4×Dic3—28no—
313C4×Dic3C2×D418yes—
314C25C22×D312yes—
315C2×#41—24no—
316C2×#41—24no—
317C2×#41—64no—
318C2×#41—64no—
319C2×#41—64no—
320C2×#41#6718yescomplemented
321C22×Q8—31no—
322C22×Q8C22×D311yescharacteristic
323C22×D4—24no—
324C22×D4—24no—
325C22×D4—24no—
326C22×D4—32no—
327C22×D4—38no—
328C22×D4—34no—
329C22×D4—31no—
330C22×D4C22×D312yes—
331C22×D4C22×D312yes—
332C22×D4C22×D312yes—
333C22×D4C22×D311yescharacteristic
334C22×D4C22×D314yes—
335C22×D4C22×D314yes—
336C23×C4—32no—
337C23×C4—34no—
338C23×C4—32no—
339C23×C4—32no—
340C23×C4C22×D312yes—
341C23×C4C22×D311yescharacteristic
342#127—28no—
343#127—68no—
344#124—28no—
345#124—68no—
346C22⋊Q8—68no—
347C22⋊Q8—68no—
348#121—28no—
349#121—28no—
350#121—616no—
351#121—68no—
352#121—616no—
353#121—68no—
354#121—1216no—
355#120—216no—
356#120—616no—
357C4×Q8—68no—
358C4×D4—616no—
359C4×D4—68no—
360#117—24no—
361#117—38no—
362#117—68no—
363C2×C4⋊C4—32no—
364C2×C4⋊C4—32no—
365C2×C4⋊C4—32no—
366C2×C4⋊C4—34no—
367C2×C4⋊C4—34no—
368C2×C4⋊C4—38no—
369C2×C4⋊C4—64no—
370C2×C4⋊C4C22×D311yescharacteristic
371C2×C4⋊C4C22×D311yescharacteristic
372C2×C22⋊C4—32no—
373C2×C22⋊C4—38no—
374C2×C22⋊C4—34no—
375C2×C22⋊C4—38no—
376C2×C22⋊C4—34no—
377C2×C22⋊C4—34no—
378C2×C22⋊C4—34no—
379C2×C22⋊C4—38no—
380C2×C22⋊C4—34no—
381C2×C22⋊C4—128no—
382C2×C22⋊C4C22×D312yes—
383C2×C22⋊C4C22×D314yes—
384C2×C22⋊C4C22×D314yes—
385C2×C42—32no—
386C2×C42—31no—
387C2×C42—32no—
388C2×C42—34no—
389C2×C42—31no—
390C2×C42—68no—
391C2×C42—64no—
392C2×C42C22×D312yes—
393#95—34no—
394#95—34no—
395#95—38no—
396C23×C3—22no—
397C23×C3—22no—
398C23×C3—22no—
399C23×C3—22no—
400C23×C3—24no—
401C23×C3—24no—
402C23×C3—24no—
403C23×C3—24no—
404C23×C3—24no—
405C23×C3—28no—
406C23×C3—28no—
407C23×C3—416no—
408C23×C3—48no—
409C23×C3—88no—
410C23×C3—84no—
411C23×C3—84no—
412C23×C3C22×D412yes—
413C23×C3C22×D414yes—
414C23×C3C22×D412yes—
415C23×C3C2×#4112yes—
416C23×C3C2511yescharacteristic
417C22×D3—22no—
418C22×D3—22no—
419C22×D3—22no—
420C22×D3—24no—
421C22×D3—24no—
422C3×Q8—28no—
423C3×D4—216no—
424C3×D4—28no—
425C3×D4—48no—
426C3×D4—48no—
427C3×D4—88no—
428C3×D4—88no—
429C2×C3×C4—22no—
430C2×C3×C4—22no—
431C2×C3×C4—216no—
432C2×C3×C4—22no—
433C2×C3×C4—22no—
434C2×C3×C4—24no—
435C2×C3×C4—24no—
436C2×C3×C4#121116yescomplemented
437C2×C3×C4C22×D412yes—
438C2×C3×C4C22×D412yes—
439C2×C3×C4C22×D414yes—
440C2×C3×C4C22×D412yes—
441C2×C3×C4C22×D412yes—
442C2×C3×C4C2×#4112yes—
443C2×C3×C4C2×#4112yes—
444#67—48no—
445#67—816no—
446#67—88no—
447C2×Dic3—22no—
448C2×Dic3—24no—
449C2×Dic3—22no—
450C2×Dic3—24no—
451C2×Dic3—22no—
452C2×Dic3—22no—
453C2×Dic3—24no—
454C2×Dic3—22no—
455C2×Dic3—22no—
456C2×Dic3—28no—
457C2×Dic3—22no—
458C2×Dic3—22no—
459C2×Dic3—416no—
460C2×Dic3—48no—
461C2×Dic3—84no—
462C2×Dic3C22×D418yes—
463C2×Dic3H(5,𝔽2)14yes—
464D12—44no—
465C4×D3—48no—
466Dic6—44no—
467C24—24no—
468C24—24no—
469C24—24no—
470C24—32no—
471C24—44no—
472C24—44no—
473C24C23×D314yes—
474C24C23×D312yes—
475C24C23×D311yescharacteristic
476#41—232no—
477#41—1216no—
478C2×Q8—22no—
479C2×Q8—22no—
480C2×Q8—62no—
481C2×Q8—62no—
482C2×Q8—62no—
483C2×Q8C2×#6714yes—
484C2×D4—24no—
485C2×D4—24no—
486C2×D4—28no—
487C2×D4—28no—
488C2×D4—22no—
489C2×D4—24no—
490C2×D4—24no—
491C2×D4—22no—
492C2×D4—24no—
493C2×D4—24no—
494C2×D4—24no—
495C2×D4—24no—
496C2×D4—48no—
497C2×D4—48no—
498C2×D4—416no—
499C2×D4—616no—
500C2×D4—64no—
501C2×D4—64no—
502C2×D4—64no—
503C2×D4—68no—
504C2×D4—62no—
505C2×D4—62no—
506C2×D4—62no—
507C2×D4—128no—
508C2×D4—128no—
509C2×D4—128no—
510C2×D4C2×#6718yes—
511C2×D4C2×#6714yes—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—32no—
515C22×C4—34no—
516C22×C4—32no—
517C22×C4—32no—
518C22×C4—34no—
519C22×C4—68no—
520C22×C4—64no—
521C22×C4—68no—
522C22×C4—64no—
523C22×C4—64no—
524C22×C4—64no—
525C22×C4—64no—
526C22×C4—64no—
527C22×C4—124no—
528C22×C4—122no—
529C22×C4—124no—
530C22×C4D3×D414yes—
531C22×C4#23714yes—
532C22×C4C2×#6718yes—
533C22×C4C2×#6714yes—
534C22×C4C23×D312yes—
535C22×C4C23×D312yes—
536C22×C4C23×D312yes—
537C22×C4C23×D311yescharacteristic
538C22×C4C23×D311yescharacteristic
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—38no—
542C4⋊C4—68no—
543C4⋊C4—64no—
544C4⋊C4—64no—
545C4⋊C4—68no—
546C4⋊C4—128no—
547C22⋊C4—24no—
548C22⋊C4—28no—
549C22⋊C4—28no—
550C22⋊C4—38no—
551C22⋊C4—68no—
552C22⋊C4—616no—
553C22⋊C4—68no—
554C22⋊C4—616no—
555C22⋊C4—68no—
556C22⋊C4—68no—
557C22⋊C4—124no—
558C22⋊C4—128no—
559C42—24no—
560C42—38no—
561C42—68no—
562C42—62no—
563C42—62no—
564C42—64no—
565C22×C3—24no—
566C22×C3—24no—
567C22×C3—22no—
568C22×C3—22no—
569C22×C3—24no—
570C22×C3—24no—
571C22×C3—24no—
572C22×C3—44no—
573C22×C3—44no—
574C22×C3—44no—
575C22×C3—48no—
576C22×C3—48no—
577C22×C3—44no—
578C22×C3—44no—
579C22×C3—816no—
580C22×C3C2×#12114yes—
581C22×C3C23×D411yescharacteristic
582C22×C3C23×D411yescharacteristic
583C22×C3C22×#4111yescharacteristic
584C22×C3C2×H(5,𝔽2)12yes—
585C22×C3#58512yes—
586C2×D3—42no—
587C2×D3—44no—
588C2×D3—44no—
589C2×D3—42no—
590C2×D3—42no—
591C3×C4—24no—
592C3×C4—42no—
593C3×C4—42no—
594C3×C4C2×#12114yes—
595C3×C4C2×#12114yes—
596Dic3—24no—
597Dic3—28no—
598Dic3—42no—
599Dic3—42no—
600Dic3—44no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—24no—
606C23—24no—
607C23—24no—
608C23—24no—
609C23—28no—
610C23—28no—
611C23—24no—
612C23—416no—
613C23—48no—
614C23—62no—
615C23—62no—
616C23—64no—
617C23—64no—
618C23—62no—
619C23—88no—
620C23—84no—
621C23—84no—
622C23C2×D3×D412yes—
623C23C2×#23712yes—
624C23C22×#6714yes—
625C23C22×#6712yes—
626C23C24×D311yescharacteristic
627Q8—28no—
628Q8—124no—
629D4—216no—
630D4—28no—
631D4—48no—
632D4—48no—
633D4—88no—
634D4—88no—
635D4—128no—
636D4—124no—
637D4—2416no—
638D4—248no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—216no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—38no—
647C2×C4—34no—
648C2×C4—62no—
649C2×C4—64no—
650C2×C4—62no—
651C2×C4—64no—
652C2×C4—62no—
653C2×C4—62no—
654C2×C4—62no—
655C2×C4—68no—
656C2×C4—62no—
657C2×C4—62no—
658C2×C4—64no—
659C2×C4—62no—
660C2×C4—1216no—
661C2×C4—128no—
662C2×C4—128no—
663C2×C4—244no—
664C2×C4#939116yescomplemented
665C2×C4C2×D3×D412yes—
666C2×C4C2×D3×D412yes—
667C2×C4C2×#23712yes—
668C2×C4C2×#23712yes—
669C2×C4C22×#6714yes—
670C2×C4C22×#6712yes—
671C2×C4C22×#6712yes—
672C2×C3—24no—
673C2×C3—44no—
674C2×C3—84no—
675C2×C3C22×#12111yescharacteristic
676C2×C3#346012yes—
677C2×C3#348812yes—
678C2×C3#349811yescharacteristic
679C2×C3#350011yescharacteristic
680D3—82no—
681C22—24no—
682C22—24no—
683C22—22no—
684C22—22no—
685C22—24no—
686C22—24no—
687C22—24no—
688C22—44no—
689C22—44no—
690C22—48no—
691C22—48no—
692C22—44no—
693C22—44no—
694C22—44no—
695C22—816no—
696C22—124no—
697C22—124no—
698C22—122no—
699C22—122no—
700C22—122no—
701C22C2×#93914yes—
702C22C22×D3×D411yescharacteristic
703C22C22×#23711yescharacteristic
704C22D3×H(5,𝔽2)12yes—
705C22#596612yes—
706C22C23×#6711yescharacteristic
707C4—24no—
708C4—42no—
709C4—42no—
710C4—64no—
711C4—68no—
712C4—122no—
713C4—122no—
714C4—124no—
715C4C2×#93914yes—
716C4C2×#93914yes—
717C3#3525611yescharacteristic, complemented, Sylow
718C2—24no—
719C2—44no—
720C2—84no—
721C2—242no—
722C2#8631412yes—
723C2#8633112yes—
724C2C22×#93911yescharacteristic
725C2#8728211yescharacteristic
726C2#8728311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#535C2
hypercenterC2×#535D3
hypocenterC3#35256
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#535

Complements

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

NH ≅ G/Ntype
1. C2×C3×#535C2semidirect
2. C2×#5833C2semidirect
3. C2×Dic3×#41C2semidirect
4. C2×#5805C2semidirect
5. C2×#5221C2semidirect
6. #83186C2semidirect
7. #82995C2semidirect
8. #82700C2semidirect
9. #82698C2semidirect
10. #82677C2semidirect
11. #82676C2semidirect
12. #82587C2semidirect
13. #82234C2semidirect
14. #82228C2semidirect
30. C2×#946C22semidirect
31. C2×Q8×Dic3C22semidirect
35. C2×#939C22semidirect
37. C2×#938C22semidirect
40. C2×D4×Dic3C22semidirect
41. C2×#930C22semidirect
43. C2×#926C22semidirect
45. C2×#924C22semidirect
47. C22×C4×Dic3C22semidirect
48. #5223C22semidirect
49. #5222C22semidirect
53. #5220C22semidirect
54. #4988C22semidirect
55. #4988C22semidirect
56. #4977C22semidirect
57. #4975C22semidirect
58. #4973C22semidirect
59. #4973C22semidirect
60. #4961C22semidirect
62. #4957C22semidirect
63. #4948C22semidirect
65. #4945C22semidirect
66. C4×(C2×D3)⋊C4C22semidirect
67. #4928C22semidirect
70. C2×#535D3semidirect
85. C2×C3×#41D4semidirect
145. #926D4semidirect
320. C2×#41#67semidirect
436. C2×C3×C4#121semidirect
664. C2×C4#939semidirect
717. C3#35256semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5352
C2×#58332
C2×Dic3×#412
C2×#58052
C2×#52212
#831862
#829952
#827002
#826982
#826772
#826762
#825872
#822342
#822282
#352563