Finite Group Databasebeta

← #10830036

Subgroups — #10830036

Order 768.

1138 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#559C211yesmaximal, characteristic
2C2×#5054C211yesmaximal, characteristic, complemented
3#82480C211yesmaximal, characteristic, complemented
4C2×C4×#214C211yesmaximal, characteristic, complemented
5#71768C211yesmaximal, characteristic
6#71762C211yesmaximal, characteristic
7#71729C211yesmaximal, characteristic, complemented
8#71725C211yesmaximal, characteristic, complemented
9#71722C211yesmaximal, characteristic, complemented
10#71634C211yesmaximal, characteristic, complemented
11#71632C211yesmaximal, characteristic, complemented
12#71629C211yesmaximal, characteristic, complemented
13#71612C211yesmaximal, characteristic, complemented
14#71607C211yesmaximal, characteristic, complemented
15#71605C211yesmaximal, characteristic, complemented
16#24194—31nomaximal, Sylow
17C3×#559—24no—
18C3×#559—24no—
19C2×C3×#127C2211yescharacteristic
20C2×C3×#124—21no—
21C2×C3×#124C2211yescharacteristic
22C2×C3×#124C2211yescharacteristic
23C2×C3×#123—21no—
24C2×C3×#123—21no—
25C2×C3×C4×Q8C2211yescharacteristic
26C2×C3×C4×Q8C2211yescharacteristic
27C2×C3×C4×D4—21no—
28C2×C3×C4×D4C2211yescharacteristic
29C2×C3×C4×D4C2211yescharacteristic
30C22×#216C2211yescharacteristic
31C22×#214C2211yescharacteristic
32C22×#214C2211yescharacteristic
33C2×C4×Dic6C2211yescharacteristic
34#5230—21no—
35C2×#835C2211yescharacteristic
36C2×#835C2211yescharacteristic
37C2×#835C2211yescharacteristic
38C2×#832C2211yescharacteristic
39C2×#832C2211yescharacteristic
40C2×#832C2211yescharacteristic
41C2×#832C2211yescharacteristic
42C2×#832C2211yescharacteristic
43C2×#832C2211yescharacteristic
44#5054—24no—
45C4×#214—24no—
46#4985—21no—
47#4978—21no—
48#4978—21no—
49C2×#810C2211yescharacteristic
50C2×#808C2211yescharacteristic
51#4936C2211yescharacteristic
52#4929C2211yescharacteristic
53#4929C2211yescharacteristic
54#4928C2211yescharacteristic
55#4928C2211yescharacteristic
56C2×C4⋊(C3⋊C8)C2211yescharacteristic
57C2×C4×C3⋊C8C2211yescharacteristic
58#4529C2211yescharacteristic
59#4529C2211yescharacteristic
60#4524C2211yescharacteristic
61#4524C2211yescharacteristic
62#4524C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#559D311yescharacteristic
65C2×#464—31no—
66C2×C4×SD16—31no—
67#2581—31no—
68#2042—31no—
69#2041—31no—
70#2015—31no—
71#2014—31no—
72#1984—31no—
73#1958—31no—
74#1878—31no—
75#1877—31no—
76#1865—31no—
77#1864—31no—
78#1804—31no—
79C22×C3×Q8D411yescharacteristic
80C22×C3×Q8C2311yescharacteristic
81C22×C3×D4—21no—
82C22×C3×D4—21no—
83C22×C3×D4C2311yescharacteristic
84C22×C3×D4C2311yescharacteristic
85C23×C3×C4—21no—
86C23×C3×C4—21no—
87C22×Dic6C2311yescharacteristic
88C3×#127—22no—
89C3×#127—22no—
90C3×#124—28no—
91C3×#124—22no—
92C3×#124—22no—
93C3×#124—22no—
94C3×#124D414yes—
95C3×#123—28no—
96C3×#123—28no—
97C3×C4×Q8—22no—
98C3×C4×Q8—22no—
99C3×C4×Q8—22no—
100C3×C4×Q8—22no—
101C3×C4×D4—28no—
102C3×C4×D4—22no—
103C3×C4×D4—22no—
104C3×C4×D4—22no—
105C3×C4×D4D414yes—
106C2×C3×C4⋊C4—21no—
107C2×C3×C4⋊C4D411yescharacteristic
108C2×C3×C4⋊C4D411yescharacteristic
109C2×C3×C4⋊C4D411yescharacteristic
110C2×C3×C4⋊C4C2311yescharacteristic
111C2×C3×C22⋊C4—21no—
112C2×C3×C22⋊C4—21no—
113C2×C3×C22⋊C4—21no—
114C2×C3×C22⋊C4—21no—
115C2×C3×C22⋊C4—21no—
116C2×C3×C22⋊C4—21no—
117C2×C3×C42—21no—
118C2×C3×C42C2311yescharacteristic
119C2×C3×C42C2311yescharacteristic
120C2×C3×C42C2311yescharacteristic
121C2×#216—22no—
122C2×#216—22no—
123C2×#216—41no—
124C2×#214—22no—
125C2×#214—22no—
126C2×#214—22no—
127C2×#214—22no—
128C2×#214—22no—
129C2×#214—41no—
130C2×C4⋊Dic3C2311yescharacteristic
131C2×C4⋊Dic3C2311yescharacteristic
132C2×C4⋊Dic3C2311yescharacteristic
133C2×Dic3⋊C4—21no—
134C2×Dic3⋊C4—21no—
135C2×Dic3⋊C4—21no—
136C2×C4×Dic3—21no—
137C22×C3⋊C8C2311yescharacteristic
138C22×C3⋊C8C2311yescharacteristic
139C22×C3⋊C8C2311yescharacteristic
140C22×C3⋊C8C2311yescharacteristic
141C4×Dic6—22no—
142C4×Dic6—22no—
143#835—22no—
144#835—22no—
145#835—41no—
146#832—22no—
147#832—22no—
148#832—22no—
149#832—41no—
150#832—41no—
151#832—41no—
152C3⋊#95—21no—
153C3⋊#95—21no—
154C3⋊#95—21no—
155C3⋊#95—21no—
156C3⋊#95—21no—
157C3⋊#95—21no—
158C3⋊#95—21no—
159C3⋊#95—21no—
160#810—22no—
161#808—22no—
162C4⋊(C3⋊C8)—22no—
163C4×C3⋊C8—22no—
164C22×Q16—31no—
165C22×SD16—31no—
166C22×SD16—31no—
167#559—24no—
168#559—24no—
169C2×#127C2×D311yescharacteristic
170C2×#124—21no—
171C2×#124C2×D311yescharacteristic
172C2×#124C2×D311yescharacteristic
173C2×#123—21no—
174C2×#123—21no—
175C2×C4×Q8—31no—
176C2×C4×Q8C2×D311yescharacteristic
177C2×C4×Q8C2×D311yescharacteristic
178C2×C4×D4—21no—
179C2×C4×D4C2×D311yescharacteristic
180C2×C4×D4C2×D311yescharacteristic
181#464—64no—
182C4×SD16—64no—
183C2×#106—31no—
184C2×C4⋊C8—31no—
185C2×#103—31no—
186C2×#103—31no—
187C2×#103—31no—
188C2×#103—31no—
189C2×#102—31no—
190C2×#102—31no—
191C2×#102—31no—
192C2×#102—31no—
193C2×#102—31no—
194C2×#102—31no—
195C2×C4×C8—31no—
196#400—61no—
197#395—61no—
198#391—31no—
199#391—31no—
200#389—31no—
201#389—31no—
202#387—61no—
203#387—61no—
204#382—31no—
205#340—31no—
206#340—31no—
207#336—31no—
208#336—31no—
209#336—31no—
210#336—31no—
211C24×C3—21no—
212C24×C3—21no—
213C2×C3×Q8—22no—
214C2×C3×Q8—22no—
215C2×C3×Q8—21no—
216C2×C3×Q8—21no—
217C2×C3×Q8—21no—
218C2×C3×Q8—21no—
219C2×C3×Q8—21no—
220C2×C3×Q8—41no—
221C2×C3×Q8C2×D412yes—
222C2×C3×D4—24no—
223C2×C3×D4—24no—
224C2×C3×D4—21no—
225C2×C3×D4—21no—
226C2×C3×D4—21no—
227C2×C3×D4—21no—
228C2×C3×D4—21no—
229C2×C3×D4—21no—
230C2×C3×D4—21no—
231C2×C3×D4—21no—
232C2×C3×D4—21no—
233C2×C3×D4—21no—
234C2×C3×D4—42no—
235C2×C3×D4—42no—
236C2×C3×D4—81no—
237C2×C3×D4—81no—
238C2×C3×D4C2×D412yes—
239C2×C3×D4C2×D412yes—
240C22×C3×C4—21no—
241C22×C3×C4—21no—
242C22×C3×C4—24no—
243C22×C3×C4—24no—
244C22×C3×C4—81no—
245C22×C3×C4—81no—
246C22×C3×C4—81no—
247C22×C3×C4—81no—
248C22×C3×C4C2×D411yescharacteristic
249C22×C3×C4C2×D411yescharacteristic
250C22×C3×C4C2×D411yescharacteristic
251C22×C3×C4C2×D411yescharacteristic
252C22×C3×C4C2×D411yescharacteristic
253C22×C3×C4C2×D411yescharacteristic
254C22×C3×C4C2411yescharacteristic
255C22×Dic3—21no—
256C22×Dic3—21no—
257C22×Dic3—21no—
258C22×Dic3—21no—
259C2×Dic6—21no—
260C2×Dic6—21no—
261C2×Dic6—21no—
262C2×Dic6—21no—
263C2×Dic6—21no—
264C2×Dic6#4112yes—
265C3×C4⋊C4—24no—
266C3×C4⋊C4—22no—
267C3×C4⋊C4—22no—
268C3×C4⋊C4—22no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4C2×D412yes—
271C3×C22⋊C4—24no—
272C3×C22⋊C4—24no—
273C3×C22⋊C4—24no—
274C3×C22⋊C4—24no—
275C3×C22⋊C4—24no—
276C3×C22⋊C4—24no—
277C3×C42—24no—
278C3×C42—21no—
279C3×C42—21no—
280C3×C42—21no—
281C3×C42—21no—
282C3×C42C2×D412yes—
283C3×C42C2×D412yes—
284#216—44no—
285#214—28no—
286#214—44no—
287C4⋊Dic3—21no—
288C4⋊Dic3—21no—
289C4⋊Dic3—21no—
290C4⋊Dic3—21no—
291C4⋊Dic3—21no—
292C4⋊Dic3—21no—
293Dic3⋊C4—42no—
294Dic3⋊C4—42no—
295Dic3⋊C4—42no—
296C4×Dic3—42no—
297C2×C3⋊C8—21no—
298C2×C3⋊C8—21no—
299C2×C3⋊C8—21no—
300C2×C3⋊C8—21no—
301C2×C3⋊C8—21no—
302C2×C3⋊C8—21no—
303C2×C3⋊C8—21no—
304C2×C3⋊C8—21no—
305C2×C3⋊C8—21no—
306C2×C3⋊C8—21no—
307C2×C3⋊C8—21no—
308C2×C3⋊C8#4112yes—
309C22×Q8—31no—
310C22×Q8#6711yescharacteristic
311C22×Q8C22×D311yescharacteristic
312C22×D4—21no—
313C22×D4—21no—
314C22×D4C22×D311yescharacteristic
315C22×D4C22×D311yescharacteristic
316C23×C4—21no—
317C23×C4—21no—
318C2×Q16—62no—
319C2×Q16—62no—
320C2×Q16—121no—
321C2×SD16—62no—
322C2×SD16—62no—
323C2×SD16—62no—
324C2×SD16—62no—
325C2×SD16—62no—
326C2×SD16—121no—
327C22×C8—31no—
328C22×C8—31no—
329C22×C8—31no—
330C22×C8—31no—
331#127—22no—
332#127—22no—
333#124—28no—
334#124—22no—
335#124—22no—
336#124—22no—
337#124#6714yes—
338#123—28no—
339#123—28no—
340C4×Q8—22no—
341C4×Q8—22no—
342C4×Q8—22no—
343C4×Q8—22no—
344C4×Q8—62no—
345C4×Q8—62no—
346C4×D4—28no—
347C4×D4—22no—
348C4×D4—22no—
349C4×D4—22no—
350C4×D4#6714yes—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—31no—
353C2×C4⋊C4—31no—
354C2×C4⋊C4—31no—
355C2×C4⋊C4—61no—
356C2×C4⋊C4—61no—
357C2×C4⋊C4—61no—
358C2×C4⋊C4#6711yescharacteristic
359C2×C4⋊C4#6711yescharacteristic
360C2×C4⋊C4#6711yescharacteristic
361C2×C4⋊C4C22×D311yescharacteristic
362C2×C22⋊C4—21no—
363C2×C22⋊C4—21no—
364C2×C22⋊C4—21no—
365C2×C22⋊C4—21no—
366C2×C22⋊C4—21no—
367C2×C22⋊C4—21no—
368C2×C42—21no—
369C2×C42—61no—
370C2×C42C22×D311yescharacteristic
371C2×C42C22×D311yescharacteristic
372C2×C42C22×D311yescharacteristic
373#106—62no—
374C4⋊C8—62no—
375#103—62no—
376#103—62no—
377#103—62no—
378#103—121no—
379#102—62no—
380#102—62no—
381#102—62no—
382#102—121no—
383#102—121no—
384#102—121no—
385C4×C8—62no—
386#95—61no—
387#95—61no—
388#95—61no—
389#95—61no—
390#95—61no—
391#95—61no—
392#95—61no—
393#95—61no—
394C23×C3—22no—
395C23×C3—22no—
396C23×C3—41no—
397C23×C3—41no—
398C23×C3—41no—
399C23×C3—41no—
400C23×C3—41no—
401C23×C3—41no—
402C23×C3—41no—
403C23×C3—41no—
404C23×C3—41no—
405C23×C3—41no—
406C23×C3—41no—
407C23×C3—41no—
408C23×C3C22×D411yescharacteristic
409C3×Q8—22no—
410C3×Q8—22no—
411C3×Q8—44no—
412C3×Q8—41no—
413C3×Q8—41no—
414C3×D4—22no—
415C3×D4—22no—
416C3×D4—22no—
417C3×D4—22no—
418C3×D4—48no—
419C3×D4—41no—
420C3×D4—41no—
421C3×D4—41no—
422C3×D4—41no—
423C3×D4—84no—
424C2×C3×C4—21no—
425C2×C3×C4—21no—
426C2×C3×C4—21no—
427C2×C3×C4—21no—
428C2×C3×C4—21no—
429C2×C3×C4—21no—
430C2×C3×C4—22no—
431C2×C3×C4—21no—
432C2×C3×C4—21no—
433C2×C3×C4—22no—
434C2×C3×C4—21no—
435C2×C3×C4—21no—
436C2×C3×C4—21no—
437C2×C3×C4—21no—
438C2×C3×C4—21no—
439C2×C3×C4—21no—
440C2×C3×C4—21no—
441C2×C3×C4—41no—
442C2×C3×C4—41no—
443C2×C3×C4—41no—
444C2×C3×C4—41no—
445C2×C3×C4—84no—
446C2×C3×C4—84no—
447C2×C3×C4#12012yes—
448C2×C3×C4#12012yes—
449C2×C3×C4#13512yes—
450C2×C3×C4C22×D411yescharacteristic
451C2×C3×C4C22×D411yescharacteristic
452C2×C3×C4C2×#4111yescharacteristic
453C2×C3×C4C2×#4111yescharacteristic
454C2×C3×C4H(5,𝔽2)11yescharacteristic
455C2×C3×C42−1+411yescharacteristic
456C2×Dic3—22no—
457C2×Dic3—41no—
458C2×Dic3—41no—
459C2×Dic3—41no—
460C2×Dic3—41no—
461C2×Dic3—41no—
462C2×Dic3—41no—
463C2×Dic3—41no—
464C2×Dic3—41no—
465C2×Dic3—41no—
466C2×Dic3—41no—
467C2×Dic3—41no—
468Dic6—22no—
469Dic6—22no—
470Dic6—41no—
471Dic6—41no—
472C3⋊C8—22no—
473C3⋊C8—41no—
474C3⋊C8—41no—
475C3⋊C8—41no—
476C24—21no—
477C24—21no—
478C2×Q8—22no—
479C2×Q8—22no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—32no—
486C2×Q8—41no—
487C2×Q8—61no—
488C2×Q8—61no—
489C2×Q8—61no—
490C2×Q8—61no—
491C2×Q8—61no—
492C2×Q8C2×#6712yes—
493C2×D4—24no—
494C2×D4—24no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4—81no—
508C2×D4—81no—
509C2×D4C2×#6712yes—
510C2×D4C2×#6712yes—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—61no—
516C22×C4—61no—
517C22×C4—61no—
518C22×C4—61no—
519C22×C4—81no—
520C22×C4—81no—
521C22×C4—81no—
522C22×C4—81no—
523C22×C4C2×#6711yescharacteristic
524C22×C4C2×#6711yescharacteristic
525C22×C4C2×#6711yescharacteristic
526C22×C4C2×#6711yescharacteristic
527C22×C4C2×#6711yescharacteristic
528C22×C4C2×#6711yescharacteristic
529C22×C4C23×D311yescharacteristic
530Q16—124no—
531SD16—68no—
532SD16—124no—
533C2×C8—32no—
534C2×C8—61no—
535C2×C8—61no—
536C2×C8—61no—
537C2×C8—61no—
538C2×C8—61no—
539C2×C8—61no—
540C2×C8—61no—
541C2×C8—61no—
542C2×C8—61no—
543C2×C8—61no—
544C2×C8—61no—
545C4⋊C4—24no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—21no—
550C4⋊C4—61no—
551C4⋊C4—61no—
552C4⋊C4—61no—
553C4⋊C4—61no—
554C4⋊C4—61no—
555C4⋊C4—61no—
556C4⋊C4—122no—
557C4⋊C4—122no—
558C4⋊C4—122no—
559C4⋊C4C2×#6712yes—
560C22⋊C4—24no—
561C22⋊C4—24no—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—24no—
565C22⋊C4—24no—
566C42—24no—
567C42—21no—
568C42—21no—
569C42—21no—
570C42—21no—
571C42—122no—
572C42C2×#6712yes—
573C42C2×#6712yes—
574C22×C3—42no—
575C22×C3—42no—
576C22×C3—42no—
577C22×C3—42no—
578C22×C3—42no—
579C22×C3—42no—
580C22×C3—81no—
581C22×C3—81no—
582C22×C3—81no—
583C22×C3—81no—
584C22×C3—81no—
585C22×C3—81no—
586C22×C3—81no—
587C22×C3—81no—
588C22×C3C2×#12011yescharacteristic
589C22×C3#54811yescharacteristic
590C22×C3#55011yescharacteristic
591C22×C3C2×#13511yescharacteristic
592C22×C3#57511yescharacteristic
593C22×C3#57711yescharacteristic
594C22×C3#57711yescharacteristic
595C3×C4—22no—
596C3×C4—22no—
597C3×C4—22no—
598C3×C4—42no—
599C3×C4—41no—
600C3×C4—41no—
601C3×C4—41no—
602C3×C4—42no—
603C3×C4#52511yescharacteristic
604C3×C4#53711yescharacteristic
605C3×C4#54611yescharacteristic
606C3×C4#54711yescharacteristic
607Dic3—42no—
608Dic3—81no—
609Dic3—81no—
610Dic3—81no—
611C23—22no—
612C23—22no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23C22×#6711yescharacteristic
626Q8—22no—
627Q8—22no—
628Q8—44no—
629Q8—41no—
630Q8—41no—
631Q8—62no—
632Q8—62no—
633Q8—121no—
634Q8—121no—
635D4—22no—
636D4—22no—
637D4—22no—
638D4—22no—
639D4—48no—
640D4—41no—
641D4—41no—
642D4—41no—
643D4—41no—
644D4—84no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—22no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—22no—
661C2×C4—21no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—62no—
667C2×C4—84no—
668C2×C4—84no—
669C2×C4—121no—
670C2×C4—121no—
671C2×C4—121no—
672C2×C4—121no—
673C2×C4—121no—
674C2×C4—121no—
675C2×C4—121no—
676C2×C4—121no—
677C2×C4—121no—
678C2×C4—121no—
679C2×C4—121no—
680C2×C4#95012yes—
681C2×C4#95312yes—
682C2×C4#95312yes—
683C2×C4D3×#4111yescharacteristic
684C2×C4D3×#4111yescharacteristic
685C2×C4#100911yescharacteristic
686C2×C4#101011yescharacteristic
687C2×C4C22×#6711yescharacteristic
688C2×C4C22×#6711yescharacteristic
689C8—62no—
690C8—121no—
691C8—121no—
692C8—121no—
693C2×C3—82no—
694C2×C3—82no—
695C2×C3#240711yescharacteristic
696C2×C3#300211yescharacteristic
697C2×C3#300911yescharacteristic
698C2×C3#336511yescharacteristic
699C2×C3#337111yescharacteristic
700C2×C3#339411yescharacteristic
701C2×C3#340111yescharacteristic
702C22—42no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22—81no—
709C22—81no—
710C22—81no—
711C22—81no—
712C22—81no—
713C22—81no—
714C22—81no—
715C22—81no—
716C22C2×#95011yescharacteristic
717C22#582211yescharacteristic
718C22#583111yescharacteristic
719C22#583411yescharacteristic
720C22#583611yescharacteristic
721C22#583611yescharacteristic
722C22C2×#95311yescharacteristic
723C4—22no—
724C4—22no—
725C4—22no—
726C4—41no—
727C4—42no—
728C4—41no—
729C4—41no—
730C4—42no—
731C4—122no—
732C4—241no—
733C4—241no—
734C4—241no—
735C4#582411yescharacteristic
736C4#582811yescharacteristic
737C4#582911yescharacteristic
738C4#583311yescharacteristic
739C3#2419411yescharacteristic, complemented, Sylow
740C2—82no—
741C2—82no—
742C2#8371011yescharacteristic
743C2#8371211yescharacteristic
744C2#8371711yescharacteristic
745C2#8371811yescharacteristic
746C2#8408011yescharacteristic
747C2#8409711yescharacteristic
748C2#8410511yescharacteristic
subgroupG/H
centerC23C22×#67
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×#559C2
socleC23×C3C22×D4
prime radicalC2×C3×#127C22
hypercenterC2×#559D3
hypocenterC3#24194
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#559

Complements

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

NH ≅ G/Ntype
2. C2×#5054C2semidirect
3. #82480C2semidirect
4. C2×C4×#214C2semidirect
7. #71729C2semidirect
8. #71725C2semidirect
9. #71722C2semidirect
10. #71634C2semidirect
11. #71632C2semidirect
12. #71629C2semidirect
13. #71612C2semidirect
14. #71607C2semidirect
15. #71605C2semidirect
739. C3#24194semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5592
C2×#50542
#824802
C2×C4×#2142
#717682
#717622
#717292
#717252
#717222
#716342
#716322
#716292
#716122
#716072
#716052
#241943