Finite Group Databasebeta

← #11660393

Subgroups — #11660393

Order 768.

1786 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86236C211yesmaximal, characteristic
2C3×#2931C211yesmaximal, characteristic, complemented
3#83796C212yesmaximal, complemented
4#83783C212yesmaximal, complemented
5#83276C211yesmaximal, characteristic, complemented
6#79528C214yesmaximal, complemented
7#79525C214yesmaximal, complemented
8#79409C214yesmaximal, complemented
9#79407C214yesmaximal, complemented
10#79048C211yesmaximal, characteristic, complemented
11#79045C211yesmaximal, characteristic, complemented
12#78659C212yesmaximal, complemented
13#78650C212yesmaximal, complemented
14C2×#4690C211yesmaximal, characteristic, complemented
15#78445C211yesmaximal, characteristic, complemented
16#60270—31nomaximal, Sylow
17C2×C3×#131C2212yes—
18C3×#532C2211yescharacteristic
19#5828C2212yes—
20Dic3×#41C2212yes—
21C2×#948C2212yes—
22C2×D3×M16C2212yes—
23#5731C412yes—
24#5719C412yes—
25#5682C412yes—
26#5682C412yes—
27#5617C412yes—
28#5617C412yes—
29#5602C412yes—
30#5602C412yes—
31#5538C2214yes—
32#5538C2214yes—
33C2×#872C2211yescharacteristic
34#5470C2211yescharacteristic
35C3×#436C2212yescomplemented
36C3×#436C2212yescomplemented
37C3×C8×D4C2212yescomplemented
38C3×C8×D4C2212yescomplemented
39C3×#423C2211yescharacteristic
40C3×#408C2212yes—
41C2×C3×C4×C8C2211yescharacteristic
42#5234C2212yes—
43#5128C2214yes—
44#5127C2214yes—
45#5122C2212yes—
46#5119C2212yes—
47#5119C2214yescomplemented
48#5118C2212yes—
49#5118C2214yescomplemented
50#5111C2214yes—
51C8×#67C2214yes—
52C2×(C2×D3)⋊C8C2211yescharacteristic
53C2×(C2×D3)⋊C8C2211yescharacteristic
54#5102C2212yes—
55#5102C2214yescomplemented
56#5101C2212yes—
57C2×Dic3⋊C8C2211yescharacteristic
58C2×Dic3⋊C8C2211yescharacteristic
59C2×Dic3⋊C8C2214yescomplemented
60#5011C2214yescomplemented
61#5011C2214yescomplemented
62#4924C2211yescharacteristic
63C2×#803C2211yescharacteristic
64#4839C2214yes—
65#4839C2214yes—
66#4828C2214yescomplemented
67#4828C2214yescomplemented
68#4730C2214yes—
69#4729C2214yes—
70#4728C2214yes—
71#67⋊C8C2214yes—
72#4720C2214yescomplemented
73#4720C2214yescomplemented
74#4719C2214yescomplemented
75#4718C2214yescomplemented
76#4690C2212yes—
77#4690C2212yes—
78#4690C2212yes—
79#4690C2212yes—
80#4679C2212yescomplemented
81#4679C2212yescomplemented
82C8×Dic6C2212yescomplemented
83C8×Dic6C2212yescomplemented
84#3455—31no—
85#2995—34no—
86#2994—34no—
87#2993—34no—
88#2992—34no—
89#2961—31no—
90#2960—31no—
91#2933—32no—
92#2933—32no—
93#2932—31no—
94#2931D311yescharacteristic, complemented
95#2925—32no—
96C2×#433—31no—
97#2906—32no—
98#2905—31no—
99C2×C3×#41C2312yes—
100C22×C4×D3C2311yescharacteristic
101C3×#131—44no—
102C2×C3×M16C2312yes—
103C2×C3×M16C2314yes—
104C22×C3×C8C2311yescharacteristic
105C22×C3×C8C2311yescharacteristic
106C22×C3×C8C2314yes—
107C3×C4⋊Q8C2×C411yescharacteristic
108C3×#127C2×C411yescharacteristic
109C3×#124C2×C412yes—
110C3×#121C2×C412yes—
111C3×#121C2×C412yes—
112C3×C4×D4C2312yes—
113C3×C4×D4C2312yes—
114C2×C3×C42C2311yescharacteristic
115#948—44no—
116#946C2×C412yes—
117#946C2×C412yes—
118Q8×Dic3C2×C412yes—
119Q8×Dic3C2×C412yes—
120#939C2×C414yes—
121#939C2×C414yes—
122#938C2×C412yes—
123#938C2×C412yes—
124#937C2×C414yes—
125#935C2×C414yes—
126#935C2×C414yes—
127#935C2×C414yes—
128D4×Dic3C2×C412yes—
129D4×Dic3C2×C412yes—
130D4×Dic3C2×C414yes—
131D4×Dic3C2×C414yes—
132C4×#67C2314yes—
133C4×#67C2314yes—
134C2×(C2×D3)⋊C4C2×C411yescharacteristic
135C2×(C2×D3)⋊C4C2×C411yescharacteristic
136#926C2312yes—
137#926C2314yes—
138#924C2×C412yes—
139#924C2×C412yes—
140C2×Dic3⋊C4C2×C411yescharacteristic
141C2×Dic3⋊C4C2×C411yescharacteristic
142C2×C4×Dic3C2311yescharacteristic
143C2×C4×Dic3C2314yes—
144C2×#208C2312yes—
145C2×#208C2314yes—
146C22×C3⋊C8C2311yescharacteristic
147C22×C3⋊C8C2311yescharacteristic
148C22×C3⋊C8C2314yes—
149D3×M16—44no—
150C2×ΓL(1,𝔽25)C2314yes—
151C2×D3×C8C2314yes—
152#898C2×C414yes—
153#898C2×C414yes—
154#889C2×C414yes—
155#889C2×C414yes—
156#886C2×C414yes—
157#886C2×C414yes—
158#885C2×C414yes—
159#885C2×C414yes—
160#879C2×C414yes—
161#879C2×C414yes—
162#878C2×C414yes—
163#878C2×C414yes—
164#872C2×C412yes—
165#872C2×C412yes—
166#872C2312yes—
167#872C2312yes—
168#870C2×C412yes—
169#869C2×C411yescharacteristic
170#869C2×C411yescharacteristic
171C4×Dic6C2312yes—
172C4×Dic6C2312yes—
173C3×C4⋊C8C2312yes—
174C3×C4⋊C8C2312yes—
175C3×C22⋊C8C2314yes—
176C3×C22⋊C8C2314yes—
177C3×C4×C8C2311yescharacteristic
178C3×C4×C8C2311yescharacteristic
179C3×C4×C8C2311yescharacteristic
180C3×C4×C8C2311yescharacteristic
181#830C2314yes—
182#830C2314yes—
183(C2×D3)⋊C8C2312yes—
184(C2×D3)⋊C8C2312yes—
185(C2×D3)⋊C8C2312yes—
186(C2×D3)⋊C8C2312yes—
187#815C2314yes—
188#815C2314yes—
189Dic3⋊C8C2314yes—
190Dic3⋊C8C2314yes—
191Dic3⋊C8C2312yes—
192Dic3⋊C8C2312yes—
193Dic3⋊C8C2312yes—
194Dic3⋊C8C2312yes—
195Dic3⋊C8C2314yes—
196Dic3⋊C8C2314yes—
197Dic3⋊C8C2314yes—
198Dic3⋊C8C2314yes—
199C8×Dic3C2314yes—
200C8×Dic3C2314yes—
201C4⋊(C3⋊C8)C2312yes—
202C4⋊(C3⋊C8)C2312yes—
203#803C2312yes—
204#803C2312yes—
205C2×#131—32no—
206C2×#131C2×D312yes—
207C22×M16—32no—
208#542—32no—
209#542—32no—
210#541—32no—
211#540—32no—
212#539—32no—
213#539—32no—
214#538—32no—
215#538—32no—
216#533—31no—
217#532C2×D311yescharacteristic
218#529—34no—
219#529—34no—
220#525—32no—
221C4×#41—32no—
222C2×#117—31no—
223#446—34no—
224#446—34no—
225#446—32no—
226#446—32no—
227C8×Q8—32no—
228C8×Q8—32no—
229#436—34no—
230#436—34no—
231#436C2×D312yescomplemented
232#436C2×D312yescomplemented
233#435—34no—
234#435—34no—
235#435—34no—
236#435—34no—
237#435—34no—
238#435—34no—
239C8×D4—34no—
240C8×D4—34no—
241C8×D4C2×D312yescomplemented
242C8×D4C2×D312yescomplemented
243#433—34no—
244#433—34no—
245#433—32no—
246#433—32no—
247#433—32no—
248#433—32no—
249#432—34no—
250#431—34no—
251#424—32no—
252#424—34no—
253#424—32no—
254#424—34no—
255#424—34no—
256#424—34no—
257#423—32no—
258#423—34no—
259#423—31no—
260#423C2×D311yescharacteristic
261C2×C4⋊C8—31no—
262C2×C4⋊C8—34no—
263C2×C4⋊C8—31no—
264#408—32no—
265#408C2×D312yes—
266C2×C22⋊C8—31no—
267C2×C22⋊C8—31no—
268#405—32no—
269#405—32no—
270C2×#97—31no—
271C2×C4×C8C2×D311yescharacteristic
272C23×D3C22×C411yescharacteristic
273C3×#41—24no—
274C3×#41—24no—
275C2×C3×Q8C22×C412yes—
276C2×C3×D4C22×C414yes—
277C2×C3×D4C22×C412yes—
278C2×C3×D4C22×C412yes—
279C2×C3×D4C22×C412yes—
280C22×C3×C4C22×C411yescharacteristic
281C22×C3×C4C22×C411yescharacteristic
282C22×C3×C4C2414yes—
283C22×C3×C4C2411yescharacteristic
284C2×#67C22×C414yes—
285C2×#67C22×C414yes—
286C22×Dic3C22×C411yescharacteristic
287C22×Dic3C22×C414yes—
288C22×Dic3C22×C414yes—
289C22×Dic3C22×C411yescharacteristic
290C22×Dic3C22×C411yescharacteristic
291C2×C4×D3—22no—
292C2×C4×D3—22no—
293C2×C4×D3C22×C412yes—
294C2×C4×D3C2412yes—
295C2×Dic6C22×C412yes—
296C2×Dic6C22×C412yes—
297C3×M16—24no—
298C3×M16—44no—
299C2×C3×C8—22no—
300C2×C3×C8—22no—
301C2×C3×C8—44no—
302C2×C3×C8C2411yescharacteristic
303C2×C3×C8C2414yes—
304C2×C3×C8C2411yescharacteristic
305C2×C3×C8C2411yescharacteristic
306C2×C3×C8C2411yescharacteristic
307C3×C4⋊C4C22×C412yes—
308C3×C4⋊C4C22×C412yes—
309C3×C22⋊C4C22×C414yes—
310C3×C22⋊C4C22×C414yes—
311C3×C42C22×C411yescharacteristic
312C3×C42C22×C411yescharacteristic
313C3×C42C2411yescharacteristic
314C3×C42C2411yescharacteristic
315#217C22×C414yes—
316#217C22×C414yes—
317#217C22×C414yes—
318#217C22×C414yes—
319#217C22×C414yes—
320(C2×D3)⋊C4C22×C412yes—
321(C2×D3)⋊C4C22×C412yes—
322(C2×D3)⋊C4C22×C412yes—
323(C2×D3)⋊C4C22×C412yes—
324(C2×D3)⋊C4C22×C414yes—
325(C2×D3)⋊C4C22×C414yes—
326C4⋊Dic3C22×C412yes—
327C4⋊Dic3C22×C412yes—
328C4⋊Dic3C22×C412yes—
329C4⋊Dic3C22×C412yes—
330C4⋊Dic3C22×C414yes—
331C4⋊Dic3C22×C414yes—
332Dic3⋊C4C22×C414yes—
333Dic3⋊C4C22×C414yes—
334Dic3⋊C4C22×C412yes—
335Dic3⋊C4C22×C412yes—
336Dic3⋊C4C22×C412yes—
337Dic3⋊C4C22×C412yes—
338Dic3⋊C4C22×C414yes—
339Dic3⋊C4C22×C414yes—
340C4×Dic3C22×C412yes—
341C4×Dic3C22×C414yes—
342C4×Dic3C22×C414yes—
343C4×Dic3C2414yes—
344C4×Dic3C2412yes—
345#208—24no—
346#208—44no—
347C2×C3⋊C8—22no—
348C2×C3⋊C8—22no—
349C2×C3⋊C8—44no—
350C2×C3⋊C8C2412yes—
351C2×C3⋊C8C2412yes—
352C2×C3⋊C8C2414yes—
353ΓL(1,𝔽25)—44no—
354D3×C8—44no—
355C2×#41C22×D312yes—
356C23×C4—31no—
357#131—44no—
358#131—124no—
359C2×M16—32no—
360C2×M16—34no—
361C2×M16—34no—
362C2×M16—124no—
363C2×M16C22×D312yes—
364C2×M16C22×D314yes—
365C22×C8—31no—
366C22×C8—31no—
367C22×C8—34no—
368C22×C8—34no—
369C22×C8C22×D311yescharacteristic
370C22×C8C22×D311yescharacteristic
371C22×C8C22×D314yes—
372C4⋊Q8—31no—
373C4⋊Q8—31no—
374C4⋊Q8C4×D311yescharacteristic
375#127C4×D311yescharacteristic
376#126—34no—
377#126—34no—
378#126—34no—
379#126—34no—
380#125—34no—
381#125—34no—
382#125—32no—
383#124—34no—
384#124—34no—
385#124C4×D312yes—
386#123—34no—
387#123—34no—
388#123—34no—
389#123—34no—
390#123—34no—
391C22⋊Q8—32no—
392C22⋊Q8—32no—
393C22⋊Q8—32no—
394C22⋊Q8—32no—
395C22⋊Q8—34no—
396C22⋊Q8—34no—
397#121—32no—
398#121—32no—
399#121—34no—
400#121—34no—
401#121C4×D312yes—
402#121C4×D312yes—
403#120—34no—
404C4×Q8—32no—
405C4×Q8—32no—
406C4×Q8—32no—
407C4×Q8—32no—
408C4×D4—34no—
409C4×D4—34no—
410C4×D4—32no—
411C4×D4—32no—
412C4×D4—34no—
413C4×D4—34no—
414C4×D4C22×D312yes—
415C4×D4C22×D312yes—
416#117—32no—
417#117—34no—
418#117—32no—
419#117—32no—
420#117—32no—
421#117—32no—
422C2×C4⋊C4—31no—
423C2×C4⋊C4—31no—
424C2×C22⋊C4—31no—
425C2×C22⋊C4—31no—
426C2×C42—31no—
427C2×C42—34no—
428C2×C42C22×D311yescharacteristic
429C4⋊C8—32no—
430C4⋊C8—34no—
431C4⋊C8—32no—
432C4⋊C8—34no—
433C4⋊C8—34no—
434C4⋊C8—32no—
435C4⋊C8—32no—
436C4⋊C8—34no—
437C4⋊C8—34no—
438C4⋊C8—34no—
439C4⋊C8—32no—
440C4⋊C8—32no—
441C4⋊C8C22×D312yes—
442C4⋊C8C22×D312yes—
443C22⋊C8—34no—
444C22⋊C8—34no—
445C22⋊C8—32no—
446C22⋊C8—32no—
447C22⋊C8—32no—
448C22⋊C8—32no—
449C22⋊C8C22×D314yes—
450C22⋊C8C22×D314yes—
451#97—34no—
452#97—34no—
453#97—32no—
454#97—32no—
455C4×C8—34no—
456C4×C8—34no—
457C4×C8C22×D311yescharacteristic
458C4×C8C22×D311yescharacteristic
459C4×C8C22×D311yescharacteristic
460C4×C8C22×D311yescharacteristic
461C23×C3C23×C414yes—
462C23×C3C23×C411yescharacteristic
463C22×D3—22no—
464C22×D3—41no—
465C22×D3—41no—
466C22×D3C23×C412yes—
467C3×Q8—24no—
468C3×D4—28no—
469C3×D4—24no—
470C3×D4—42no—
471C3×D4—42no—
472C2×C3×C4—24no—
473C2×C3×C4—24no—
474C2×C3×C4—41no—
475C2×C3×C4—41no—
476C2×C3×C4C23×C414yes—
477C2×C3×C4C23×C411yescharacteristic
478C2×C3×C4C23×C411yescharacteristic
479C2×C3×C4C23×C411yescharacteristic
480C2×C3×C4C23×C411yescharacteristic
481C2×C3×C4C23×C411yescharacteristic
482C2×C3×C4H(5,𝔽2)12yes—
483C2×C3×C42−1+412yes—
484C2×C3×C4C2511yescharacteristic
485#67—44no—
486#67—44no—
487C2×Dic3—22no—
488C2×Dic3—44no—
489C2×Dic3—44no—
490C2×Dic3—41no—
491C2×Dic3—41no—
492C2×Dic3C23×C412yes—
493C2×Dic3C23×C412yes—
494C2×Dic3C23×C414yes—
495C2×Dic3C23×C414yes—
496C2×Dic3C23×C412yes—
497C4×D3—24no—
498C4×D3—22no—
499C4×D3—22no—
500Dic6—42no—
501Dic6—42no—
502C3×C8—24no—
503C3×C8—21no—
504C3×C8—21no—
505C3×C8—21no—
506C3×C8—21no—
507C3⋊C8—24no—
508C3⋊C8—22no—
509C3⋊C8—22no—
510C24—31no—
511#41—24no—
512#41—24no—
513C2×Q8—32no—
514C2×Q8—32no—
515C2×Q8C2×C4×D312yes—
516C2×D4—34no—
517C2×D4—34no—
518C2×D4C2×C4×D314yes—
519C2×D4C2×C4×D312yes—
520C2×D4C2×C4×D312yes—
521C2×D4C2×C4×D312yes—
522C22×C4—31no—
523C22×C4—31no—
524C22×C4—31no—
525C22×C4—34no—
526C22×C4—34no—
527C22×C4—32no—
528C22×C4—32no—
529C22×C4—62no—
530C22×C4—62no—
531C22×C4C2×C4×D311yescharacteristic
532C22×C4C2×C4×D311yescharacteristic
533C22×C4C23×D314yes—
534C22×C4C23×D311yescharacteristic
535M16—24no—
536M16—44no—
537M16—64no—
538M16—124no—
539M16—124no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—32no—
543C2×C8—34no—
544C2×C8—32no—
545C2×C8—44no—
546C2×C8—62no—
547C2×C8—62no—
548C2×C8—124no—
549C2×C8—124no—
550C2×C8C23×D311yescharacteristic
551C2×C8C23×D314yes—
552C2×C8C23×D311yescharacteristic
553C2×C8C23×D311yescharacteristic
554C2×C8C23×D311yescharacteristic
555C4⋊C4—32no—
556C4⋊C4—32no—
557C4⋊C4—32no—
558C4⋊C4—32no—
559C4⋊C4—32no—
560C4⋊C4—32no—
561C4⋊C4—34no—
562C4⋊C4—34no—
563C4⋊C4—34no—
564C4⋊C4—34no—
565C4⋊C4—34no—
566C4⋊C4—34no—
567C4⋊C4—32no—
568C4⋊C4—32no—
569C4⋊C4C2×C4×D312yes—
570C4⋊C4C2×C4×D312yes—
571C22⋊C4—34no—
572C22⋊C4—34no—
573C22⋊C4—34no—
574C22⋊C4—34no—
575C22⋊C4—34no—
576C22⋊C4—32no—
577C22⋊C4—32no—
578C22⋊C4—32no—
579C22⋊C4—32no—
580C22⋊C4—34no—
581C22⋊C4—34no—
582C22⋊C4C2×C4×D314yes—
583C22⋊C4C2×C4×D314yes—
584C42—32no—
585C42—34no—
586C42—34no—
587C42—34no—
588C42—32no—
589C42C2×C4×D311yescharacteristic
590C42C2×C4×D311yescharacteristic
591C42C23×D311yescharacteristic
592C42C23×D311yescharacteristic
593C22×C3—21no—
594C22×C3—21no—
595C22×C3—24no—
596C22×C3—24no—
597C22×C3—24no—
598C22×C3#52012yes—
599C22×C3C24×C411yescharacteristic
600C2×D3—22no—
601C2×D3—22no—
602C2×D3—22no—
603C2×D3—82no—
604C3×C4—24no—
605C3×C4—21no—
606C3×C4—21no—
607C3×C4—21no—
608C3×C4—21no—
609C3×C4#52012yes—
610C3×C4C2×H(5,𝔽2)11yescharacteristic
611C3×C4C2×2−1+411yescharacteristic
612Dic3—22no—
613Dic3—24no—
614Dic3—24no—
615Dic3—22no—
616Dic3—22no—
617C23—32no—
618C23—62no—
619C23—121no—
620C23—121no—
621C23C22×C4×D314yes—
622C23C22×C4×D311yescharacteristic
623Q8—24no—
624Q8—122no—
625Q8—122no—
626D4—28no—
627D4—24no—
628D4—42no—
629D4—42no—
630D4—124no—
631D4—124no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—32no—
635C2×C4—32no—
636C2×C4—34no—
637C2×C4—34no—
638C2×C4—32no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—62no—
642C2×C4—62no—
643C2×C4—62no—
644C2×C4—64no—
645C2×C4—121no—
646C2×C4—121no—
647C2×C4—124no—
648C2×C4—124no—
649C2×C4C22×C4×D314yes—
650C2×C4C22×C4×D311yescharacteristic
651C2×C4C22×C4×D311yescharacteristic
652C2×C4C22×C4×D311yescharacteristic
653C2×C4C22×C4×D311yescharacteristic
654C2×C4C22×C4×D311yescharacteristic
655C2×C4#100412yes—
656C2×C4#101012yes—
657C2×C4C24×D311yescharacteristic
658C8—21no—
659C8—21no—
660C8—24no—
661C8—21no—
662C8—21no—
663C8—62no—
664C8—64no—
665C8—62no—
666C2×C3—22no—
667C2×C3—44no—
668C2×C3C2×#52011yescharacteristic
669C2×C3#357311yescharacteristic
670C2×C3#357311yescharacteristic
671D3—42no—
672C22—21no—
673C22—21no—
674C22—24no—
675C22—24no—
676C22—24no—
677C22—62no—
678C22—62no—
679C22—62no—
680C22—242no—
681C22#554612yes—
682C22C23×C4×D311yescharacteristic
683C4—21no—
684C4—21no—
685C4—21no—
686C4—21no—
687C4—24no—
688C4—62no—
689C4—62no—
690C4—64no—
691C4—64no—
692C4—62no—
693C4#554612yes—
694C4C2×#100411yescharacteristic
695C4C2×#101011yescharacteristic
696C3#6027011yescharacteristic, complemented, Sylow
697C2—22no—
698C2—44no—
699C2—122no—
700C2C2×#554611yescharacteristic
701C2#8716011yescharacteristic
702C2#8716011yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D3
commutator, socleC22×C3C24×C4
FittingC3×#2931C2
prime radical#86236C2
cosocleC2×C3×C4C25
hypercenter#2931D3
hypocenterC3#60270
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ #2931

Complements

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

NH ≅ G/Ntype
2. C3×#2931C2semidirect
3. #83796C2semidirect
4. #83783C2semidirect
5. #83276C2semidirect
6. #79528C2semidirect
7. #79525C2semidirect
8. #79409C2semidirect
9. #79407C2semidirect
10. #79048C2semidirect
11. #79045C2semidirect
12. #78659C2semidirect
13. #78650C2semidirect
14. C2×#4690C2semidirect
15. #78445C2semidirect
35. C3×#436C22semidirect
36. C3×#436C22semidirect
37. C3×C8×D4C22semidirect
38. C3×C8×D4C22semidirect
47. #5119C22semidirect
49. #5118C22semidirect
55. #5102C22semidirect
59. C2×Dic3⋊C8C22semidirect
60. #5011C22semidirect
61. #5011C22semidirect
66. #4828C22semidirect
67. #4828C22semidirect
72. #4720C22semidirect
73. #4720C22semidirect
74. #4719C22semidirect
75. #4718C22semidirect
80. #4679C22semidirect
81. #4679C22semidirect
82. C8×Dic6C22semidirect
83. C8×Dic6C22semidirect
94. #2931D3semidirect
231. #436C2×D3semidirect
232. #436C2×D3semidirect
241. C8×D4C2×D3semidirect
242. C8×D4C2×D3semidirect
696. C3#60270semidirect

Maximal subgroups

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

subgroupindex
#862362
C3×#29312
#837962
#837832
#832762
#795282
#795252
#794092
#794072
#790482
#790452
#786592
#786502
C2×#46902
#784452
#602703