Finite Group Databasebeta

← #10982988

Subgroups — #10982988

Order 768.

2314 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#556C211yesmaximal, characteristic, complemented
2C2×#5523C211yesmaximal, characteristic, complemented
3#83256C212yesmaximal, complemented
4#83112C212yesmaximal, complemented
5#83105C214yesmaximal, complemented
6#83088C212yesmaximal, complemented
7#82997C214yesmaximal, complemented
8#82820C211yesmaximal, characteristic, complemented
9#82813C212yesmaximal, complemented
10#82776C211yesmaximal, characteristic, complemented
11#82492C212yesmaximal, complemented
12#82490C212yesmaximal, complemented
13#82481C212yesmaximal, complemented
14#82400C211yesmaximal, characteristic
15#82374C211yesmaximal, characteristic, complemented
16#82272C212yesmaximal, complemented
17#82239C211yesmaximal, characteristic, complemented
18#35759—31nomaximal, Sylow
19C22×#235C2211yescharacteristic
20C3×#556—28no—
21C2×C3×C4⋊Q8C2211yescharacteristic
22C2×C3×#126C2212yes—
23C2×C3×#126C2212yes—
24C2×C3×#124C2212yes—
25C2×C3×C22⋊Q8C2211yescharacteristic
26C2×C3×C22⋊Q8C2211yescharacteristic
27C2×C3×C4×Q8C2212yes—
28C2×C3×C4×Q8C2211yescharacteristic
29C2×C3×C4×D4C2211yescharacteristic
30C2×C3×#117C2211yescharacteristic
31C2×C3×#117C2211yescharacteristic
32C2×#946C2212yes—
33C2×C4×#67C2212yes—
34C22×C4⋊Dic3C2211yescharacteristic
35#5523—28no—
36C2×#892C2212yes—
37C2×D3×C4⋊C4C2212yes—
38C2×#67⋊C4C2214yes—
39C2×C4×D12C2212yes—
40C2×C4×Dic6C2212yes—
41#5231C2214yes—
42#5229C2214yes—
43#5229C2212yes—
44#5223C2212yes—
45#5220C2212yes—
46#5212C2211yescharacteristic
47#5212C2212yes—
48C4×#217C2211yescharacteristic
49#4994C2214yes—
50#4992C2214yes—
51#4991C2211yescharacteristic
52#4991C2212yes—
53#4989C2214yes—
54#4987C2212yes—
55#4986C2212yes—
56#4986C2212yes—
57#4986C2212yes—
58#4984C2212yes—
59#4979C2211yescharacteristic
60#4979C2212yes—
61#4978C2214yes—
62#4977C2212yes—
63#4976C2214yes—
64Dic3×C4⋊C4C2212yes—
65#4972C2214yes—
66#4961C2214yes—
67#4960C2211yescharacteristic
68#4959C2214yes—
69#4959C2212yes—
70#4956C2214yes—
71#4951C2214yes—
72#4949C2212yes—
73#4947C2211yescharacteristic
74#4946C2212yes—
75#4945C2214yes—
76#4944C2214yes—
77#4943C2214yes—
78C4×(C2×D3)⋊C4C2214yes—
79C4×(C2×D3)⋊C4C2212yes—
80C4×(C2×D3)⋊C4C2214yes—
81#4936C2212yes—
82#4933C2214yes—
83#4933C2214yes—
84#4932C2212yes—
85#4928C2212yes—
86C2×#556D311yescharacteristic, complemented
87C2×#520—31no—
88#2636—32no—
89#2616—31no—
90#2604—32no—
91#2581—32no—
92#2503—31no—
93#2487—31no—
94#2466—34no—
95#2459—34no—
96#2439—32no—
97#2415—32no—
98#2398—32no—
99#2388—31no—
100#2360—32no—
101#2352—32no—
102#2346—31no—
103C22×C3×Q8C2311yescharacteristic
104C22×C3×Q8C2312yes—
105C22×C3×D4C2311yescharacteristic
106C23×C3×C4C2311yescharacteristic
107C23×C3×C4C2311yescharacteristic
108C22×#67C2312yes—
109C22×#67C2312yes—
110C23×Dic3C2312yes—
111C2×#235—24no—
112C2×#235—28no—
113C22×D12C2311yescharacteristic
114C22×C4×D3C2312yes—
115C22×C4×D3C2314yes—
116C22×Dic6C2311yescharacteristic
117C3×C4⋊Q8—24no—
118C3×#126—28no—
119C3×#126—28no—
120C3×#124—28no—
121C3×C22⋊Q8—24no—
122C3×C22⋊Q8—24no—
123C3×C4×Q8—24no—
124C3×C4×Q8—28no—
125C3×C4×D4—24no—
126C3×#117—24no—
127C3×#117D418yescomplemented
128C2×C3×C4⋊C4C2312yes—
129C2×C3×C4⋊C4C2312yes—
130C2×C3×C4⋊C4C2311yescharacteristic
131C2×C3×C4⋊C4C2312yes—
132C2×C3×C4⋊C4C2311yescharacteristic
133C2×C3×C4⋊C4C2312yes—
134C2×C3×C4⋊C4C2311yescharacteristic
135C2×C3×C4⋊C4C2311yescharacteristic
136C2×C3×C22⋊C4C2312yes—
137C2×C3×C22⋊C4C2312yes—
138C2×C3×C22⋊C4C2312yes—
139C2×C3×C22⋊C4C2311yescharacteristic
140C2×C3×C22⋊C4C2311yescharacteristic
141C2×C3×C22⋊C4C2312yes—
142C2×C3×C42C2311yescharacteristic
143C2×C3×C42C2312yes—
144C2×C3×C42C2312yes—
145C2×C3×C42C2312yes—
146C2×#217C2312yes—
147C2×#217C2312yes—
148C2×#217C2314yes—
149C2×#217C2312yes—
150#946—28no—
151C4×#67—28no—
152C2×(C2×D3)⋊C4C2312yes—
153C2×(C2×D3)⋊C4C2312yes—
154C2×(C2×D3)⋊C4C2314yes—
155C2×(C2×D3)⋊C4C2314yes—
156C2×(C2×D3)⋊C4C2314yes—
157C2×(C2×D3)⋊C4C2312yes—
158C2×C4⋊Dic3—24no—
159C2×C4⋊Dic3C2312yes—
160C2×C4⋊Dic3C2312yes—
161C2×C4⋊Dic3C2312yes—
162C2×C4⋊Dic3C2314yes—
163C2×Dic3⋊C4C2314yes—
164C2×Dic3⋊C4C2312yes—
165C2×Dic3⋊C4C2314yes—
166C2×Dic3⋊C4C2314yes—
167C2×C4×Dic3C2312yes—
168C2×C4×Dic3C2314yes—
169C2×C4×Dic3C2314yes—
170#892—28no—
171D3×C4⋊C4—28no—
172#67⋊C4—216no—
173C4×D12—28no—
174C4×Dic6—28no—
175C3⋊#95C2314yes—
176C3⋊#95C2311yescharacteristic
177C3⋊#95C2312yes—
178C3⋊#95C2314yes—
179C3⋊#95C2314yes—
180C3⋊#95C2312yes—
181C3⋊#95C2314yes—
182C3⋊#95C2314yes—
183C3⋊#95C2314yes—
184C3⋊#95C2314yes—
185C3⋊#95C2311yescharacteristic
186C3⋊#95C2314yes—
187C3⋊#95C2314yes—
188C3⋊#95C2312yes—
189C22×#41—31no—
190#556—28no—
191C2×C4⋊Q8C2×D311yescharacteristic
192C2×#126C2×D312yes—
193C2×#126C2×D312yes—
194C2×#124C2×D312yes—
195C2×C22⋊Q8—32no—
196C2×C22⋊Q8C2×D311yescharacteristic
197C2×C22⋊Q8C2×D311yescharacteristic
198#520—68no—
199C2×C4×Q8—32no—
200C2×C4×Q8C2×D312yes—
201C2×C4×Q8C2×D311yescharacteristic
202C2×C4×D4—32no—
203C2×C4×D4—34no—
204C2×C4×D4—32no—
205C2×C4×D4C2×D311yescharacteristic
206C2×#117—32no—
207C2×#117C2×D311yescharacteristic
208C2×#117C2×D311yescharacteristic
209C22×C4⋊C4—31no—
210C22×C4⋊C4—32no—
211#400—32no—
212#400—32no—
213#400—32no—
214#399—32no—
215#397—34no—
216#396—34no—
217#395—31no—
218#395—32no—
219#394—32no—
220#394—31no—
221#394—34no—
222#394—34no—
223#394—32no—
224#393—34no—
225#393—31no—
226#392—32no—
227#392—31no—
228#391—34no—
229#391—32no—
230#389—34no—
231#389—32no—
232#389—34no—
233#389—32no—
234#388—34no—
235#388—34no—
236#388—34no—
237#387—34no—
238#387—34no—
239#387—34no—
240#386—32no—
241#386—34no—
242#385—34no—
243#385—32no—
244#382—32no—
245#382—32no—
246#381—34no—
247#380—31no—
248#380—32no—
249#380—32no—
250C4×C4⋊C4—32no—
251C4×C22⋊C4—31no—
252C4×C22⋊C4—34no—
253C4×C22⋊C4—32no—
254C4×C22⋊C4—34no—
255#376—32no—
256C24×C3C2411yescharacteristic
257C24×C3C2411yescharacteristic
258C23×D3C2412yes—
259C2×C3×Q8—22no—
260C2×C3×Q8—24no—
261C2×C3×Q8—24no—
262C2×C3×Q8—24no—
263C2×C3×Q8—42no—
264C2×C3×D4—22no—
265C2×C3×D4—22no—
266C2×C3×D4—41no—
267C22×C3×C4—24no—
268C22×C3×C4—22no—
269C22×C3×C4—24no—
270C22×C3×C4C2×D414yes—
271C22×C3×C4C2412yes—
272C22×C3×C4C2411yescharacteristic
273C22×C3×C4C2412yes—
274C22×C3×C4C2411yescharacteristic
275C22×C3×C4C2411yescharacteristic
276C22×C3×C4C2412yes—
277C22×C3×C4C2412yes—
278C22×C3×C4C2411yescharacteristic
279C22×C3×C4C2411yescharacteristic
280C2×#67—24no—
281C2×#67—24no—
282C2×#67—24no—
283C2×#67—24no—
284C2×#67—42no—
285C2×#67—42no—
286C22×Dic3—24no—
287C22×Dic3—44no—
288C22×Dic3C2412yes—
289C22×Dic3C2412yes—
290C22×Dic3C2414yes—
291C22×Dic3C2414yes—
292C22×Dic3C2412yes—
293#235—232no—
294C2×D12—24no—
295C2×D12—22no—
296C2×C4×D3—24no—
297C2×C4×D3—24no—
298C2×C4×D3—28no—
299C2×C4×D3—44no—
300C2×C4×D3—44no—
301C2×C4×D3#4118yes—
302C2×Dic6—22no—
303C2×Dic6—24no—
304C3×C4⋊C4—22no—
305C3×C4⋊C4—22no—
306C3×C4⋊C4—24no—
307C3×C4⋊C4—24no—
308C3×C4⋊C4—24no—
309C3×C4⋊C4—24no—
310C3×C4⋊C4C2×D414yes—
311C3×C4⋊C4C2×D414yes—
312C3×C22⋊C4—22no—
313C3×C22⋊C4—24no—
314C3×C22⋊C4—24no—
315C3×C22⋊C4—22no—
316C3×C22⋊C4—24no—
317C3×C22⋊C4C2×D418yes—
318C3×C42—24no—
319C3×C42—22no—
320C3×C42—24no—
321C3×C42C2×D418yes—
322#217—24no—
323#217—42no—
324#217—44no—
325#217—42no—
326(C2×D3)⋊C4—24no—
327(C2×D3)⋊C4—28no—
328(C2×D3)⋊C4—28no—
329(C2×D3)⋊C4—24no—
330(C2×D3)⋊C4—44no—
331(C2×D3)⋊C4—42no—
332C4⋊Dic3—24no—
333C4⋊Dic3—24no—
334C4⋊Dic3—24no—
335C4⋊Dic3—44no—
336Dic3⋊C4—28no—
337Dic3⋊C4—24no—
338Dic3⋊C4—28no—
339Dic3⋊C4—44no—
340C4×Dic3—28no—
341C4×Dic3—24no—
342C4×Dic3—44no—
343C2×#41—68no—
344C2×#41—64no—
345C22×Q8—31no—
346C22×Q8C22×D311yescharacteristic
347C22×Q8C22×D312yes—
348C22×D4—32no—
349C22×D4—32no—
350C22×D4—31no—
351C22×D4C22×D311yescharacteristic
352C23×C4—32no—
353C23×C4—32no—
354C23×C4—34no—
355C23×C4C22×D311yescharacteristic
356C23×C4C22×D311yescharacteristic
357C4⋊Q8—24no—
358#126—28no—
359#126—28no—
360#124—28no—
361C22⋊Q8—24no—
362C22⋊Q8—24no—
363C22⋊Q8—68no—
364C4×Q8—24no—
365C4×Q8—28no—
366C4×Q8—68no—
367C4×D4—24no—
368C4×D4—68no—
369C4×D4—616no—
370C4×D4—68no—
371#117—24no—
372#117—68no—
373#117#6718yescomplemented
374C2×C4⋊C4—32no—
375C2×C4⋊C4—34no—
376C2×C4⋊C4—32no—
377C2×C4⋊C4—32no—
378C2×C4⋊C4—32no—
379C2×C4⋊C4—34no—
380C2×C4⋊C4—34no—
381C2×C4⋊C4—34no—
382C2×C4⋊C4—64no—
383C2×C4⋊C4—68no—
384C2×C4⋊C4C22×D311yescharacteristic
385C2×C4⋊C4C22×D311yescharacteristic
386C2×C4⋊C4C22×D312yes—
387C2×C4⋊C4C22×D312yes—
388C2×C4⋊C4C22×D312yes—
389C2×C4⋊C4C22×D312yes—
390C2×C4⋊C4C22×D311yescharacteristic
391C2×C4⋊C4C22×D311yescharacteristic
392C2×C22⋊C4—32no—
393C2×C22⋊C4—34no—
394C2×C22⋊C4—32no—
395C2×C22⋊C4—34no—
396C2×C22⋊C4—32no—
397C2×C22⋊C4—32no—
398C2×C22⋊C4—32no—
399C2×C22⋊C4—34no—
400C2×C22⋊C4—34no—
401C2×C22⋊C4—32no—
402C2×C22⋊C4C22×D312yes—
403C2×C22⋊C4C22×D311yescharacteristic
404C2×C22⋊C4C22×D311yescharacteristic
405C2×C22⋊C4C22×D312yes—
406C2×C22⋊C4C22×D312yes—
407C2×C22⋊C4C22×D312yes—
408C2×C42—34no—
409C2×C42—32no—
410C2×C42—34no—
411C2×C42C22×D312yes—
412C2×C42C22×D311yescharacteristic
413C2×C42C22×D312yes—
414C2×C42C22×D312yes—
415#95—31no—
416#95—32no—
417#95—34no—
418#95—34no—
419#95—34no—
420#95—34no—
421#95—31no—
422#95—34no—
423#95—32no—
424#95—32no—
425#95—34no—
426#95—34no—
427#95—34no—
428#95—34no—
429C23×C3—22no—
430C23×C3—21no—
431C23×C3—21no—
432C23×C3—22no—
433C23×C3—21no—
434C23×C3—22no—
435C23×C3—21no—
436C23×C3—22no—
437C23×C3—21no—
438C23×C3C22×D412yes—
439C23×C3C2511yescharacteristic
440C22×D3—22no—
441C22×D3—22no—
442C22×D3—22no—
443C22×D3—22no—
444C22×D3—22no—
445C22×D3—22no—
446C22×D3C2×#4114yes—
447C3×Q8—48no—
448C3×Q8—44no—
449C3×D4—44no—
450C2×C3×C4—21no—
451C2×C3×C4—22no—
452C2×C3×C4—22no—
453C2×C3×C4—24no—
454C2×C3×C4—22no—
455C2×C3×C4—21no—
456C2×C3×C4—28no—
457C2×C3×C4—21no—
458C2×C3×C4—21no—
459C2×C3×C4—22no—
460C2×C3×C4—22no—
461C2×C3×C4—22no—
462C2×C3×C4—24no—
463C2×C3×C4—22no—
464C2×C3×C4—22no—
465C2×C3×C4—22no—
466C2×C3×C4—44no—
467C2×C3×C4C22×D414yes—
468C2×C3×C4C22×D414yes—
469C2×C3×C4C22×D412yes—
470C2×C3×C4C22×D412yes—
471C2×C3×C4C2×#4114yes—
472C2×C3×C42−1+412yes—
473#67—216no—
474#67—48no—
475C2×Dic3—22no—
476C2×Dic3—22no—
477C2×Dic3—24no—
478C2×Dic3—22no—
479C2×Dic3—22no—
480C2×Dic3—24no—
481C2×Dic3—22no—
482C2×Dic3—22no—
483C2×Dic3—24no—
484C2×Dic3—24no—
485C2×Dic3—22no—
486C2×Dic3—24no—
487C2×Dic3—22no—
488C2×Dic3—24no—
489C2×Dic3—84no—
490C2×Dic3C2×#4114yes—
491D12—28no—
492C4×D3—216no—
493C4×D3—88no—
494Dic6—28no—
495C24—32no—
496C24C23×D311yescharacteristic
497C24C23×D311yescharacteristic
498#41—632no—
499C2×Q8—24no—
500C2×Q8—24no—
501C2×Q8—22no—
502C2×Q8—24no—
503C2×Q8—42no—
504C2×Q8—64no—
505C2×Q8—62no—
506C2×D4—22no—
507C2×D4—22no—
508C2×D4—41no—
509C2×D4—64no—
510C2×D4—64no—
511C2×D4—64no—
512C2×D4—64no—
513C2×D4—64no—
514C2×D4—62no—
515C2×D4—122no—
516C2×D4—122no—
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—22no—
520C22×C4—32no—
521C22×C4—38no—
522C22×C4—32no—
523C22×C4—32no—
524C22×C4—34no—
525C22×C4—34no—
526C22×C4—64no—
527C22×C4—64no—
528C22×C4—64no—
529C22×C4—68no—
530C22×C4—124no—
531C22×C4—124no—
532C22×C4—124no—
533C22×C4C2×#6714yes—
534C22×C4C23×D312yes—
535C22×C4C23×D311yescharacteristic
536C22×C4C23×D312yes—
537C22×C4C23×D311yescharacteristic
538C22×C4C23×D311yescharacteristic
539C22×C4C23×D311yescharacteristic
540C22×C4C23×D312yes—
541C22×C4C23×D312yes—
542C22×C4C23×D311yescharacteristic
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—24no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—64no—
550C4⋊C4—68no—
551C4⋊C4—64no—
552C4⋊C4—64no—
553C4⋊C4—68no—
554C4⋊C4—64no—
555C4⋊C4—124no—
556C4⋊C4—124no—
557C4⋊C4C2×#6714yes—
558C4⋊C4C2×#6714yes—
559C22⋊C4—22no—
560C22⋊C4—24no—
561C22⋊C4—24no—
562C22⋊C4—22no—
563C22⋊C4—24no—
564C22⋊C4—64no—
565C22⋊C4—68no—
566C22⋊C4—64no—
567C22⋊C4—64no—
568C22⋊C4—68no—
569C22⋊C4—124no—
570C22⋊C4—122no—
571C22⋊C4—122no—
572C22⋊C4—122no—
573C22⋊C4—124no—
574C22⋊C4C2×#6718yes—
575C42—24no—
576C42—22no—
577C42—24no—
578C42—64no—
579C42—68no—
580C42—124no—
581C42C2×#6718yes—
582C22×C3—22no—
583C22×C3—22no—
584C22×C3—22no—
585C22×C3—42no—
586C22×C3—42no—
587C22×C3—41no—
588C22×C3—41no—
589C22×C3—42no—
590C22×C3—41no—
591C22×C3—42no—
592C22×C3C23×D411yescharacteristic
593C22×C3C22×#4112yes—
594C22×C3C2×2−1+411yescharacteristic
595C22×C3#58511yescharacteristic
596C22×C3#58512yes—
597C2×D3—24no—
598C2×D3—24no—
599C2×D3—24no—
600C2×D3—42no—
601C2×D3—42no—
602C2×D3—42no—
603C2×D3—42no—
604C3×C4—22no—
605C3×C4—24no—
606C3×C4—22no—
607C3×C4—24no—
608C3×C4—41no—
609C3×C4—42no—
610C3×C4—42no—
611C3×C4—41no—
612C3×C4#52514yes—
613Dic3—24no—
614Dic3—44no—
615Dic3—42no—
616Dic3—44no—
617Dic3—42no—
618C23—22no—
619C23—21no—
620C23—21no—
621C23—22no—
622C23—22no—
623C23—21no—
624C23—21no—
625C23—22no—
626C23—21no—
627C23—34no—
628C23—62no—
629C23—62no—
630C23—62no—
631C23—62no—
632C23—62no—
633C23—62no—
634C23C22×#6712yes—
635C23C24×D311yescharacteristic
636Q8—48no—
637Q8—44no—
638Q8—68no—
639D4—44no—
640D4—68no—
641D4—616no—
642D4—128no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—21no—
647C2×C4—24no—
648C2×C4—21no—
649C2×C4—28no—
650C2×C4—22no—
651C2×C4—24no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—34no—
660C2×C4—44no—
661C2×C4—62no—
662C2×C4—62no—
663C2×C4—616no—
664C2×C4—62no—
665C2×C4—62no—
666C2×C4—64no—
667C2×C4—62no—
668C2×C4—64no—
669C2×C4—62no—
670C2×C4—62no—
671C2×C4—64no—
672C2×C4—62no—
673C2×C4—64no—
674C2×C4—64no—
675C2×C4—64no—
676C2×C4—248no—
677C2×C4—244no—
678C2×C4D3×#4114yes—
679C2×C4#101012yes—
680C2×C4C22×#6714yes—
681C2×C4C22×#6714yes—
682C2×C4C22×#6712yes—
683C2×C4C22×#6712yes—
684C2×C3—42no—
685C2×C3—81no—
686C2×C3C2×#52511yescharacteristic
687C2×C3#348911yescharacteristic
688C2×C3#349312yes—
689C2×C3#350011yescharacteristic
690C2×C3#350712yes—
691D3—44no—
692C22—22no—
693C22—22no—
694C22—22no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—64no—
703C22—64no—
704C22—64no—
705C22—122no—
706C22—122no—
707C22—122no—
708C22—122no—
709C22C2×D3×#4112yes—
710C22C2×#101011yescharacteristic
711C22#596411yescharacteristic
712C22#596812yes—
713C22C23×#6711yescharacteristic
714C4—22no—
715C4—24no—
716C4—22no—
717C4—24no—
718C4—42no—
719C4—41no—
720C4—42no—
721C4—41no—
722C4—64no—
723C4—122no—
724C4—124no—
725C4—122no—
726C4—124no—
727C4#582814yes—
728C3#3575911yescharacteristic, complemented, Sylow
729C2—42no—
730C2—81no—
731C2—124no—
732C2#8700412yes—
733C2#8700612yes—
734C2#8726411yescharacteristic
735C2C2×#582811yescharacteristic
736C2#8729311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#556C2
prime radical#82400C2
hypercenterC2×#556D3
hypocenterC3#35759
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#556

Complements

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

NH ≅ G/Ntype
1. C2×C3×#556C2semidirect
2. C2×#5523C2semidirect
3. #83256C2semidirect
4. #83112C2semidirect
5. #83105C2semidirect
6. #83088C2semidirect
7. #82997C2semidirect
8. #82820C2semidirect
9. #82813C2semidirect
10. #82776C2semidirect
11. #82492C2semidirect
12. #82490C2semidirect
13. #82481C2semidirect
15. #82374C2semidirect
16. #82272C2semidirect
17. #82239C2semidirect
86. C2×#556D3semidirect
127. C3×#117D4semidirect
373. #117#67semidirect
728. C3#35759semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5562
C2×#55232
#832562
#831122
#831052
#830882
#829972
#828202
#828132
#827762
#824922
#824902
#824812
#824002
#823742
#822722
#822392
#357593