Finite Group Databasebeta

← #10823570

Subgroups — #10823570

Order 768.

1122 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#542C211yesmaximal, characteristic
2C2×C4×#216C211yesmaximal, characteristic, complemented
3C2×#5018C211yesmaximal, characteristic, complemented
4#82235C211yesmaximal, characteristic, complemented
5#71794C211yesmaximal, characteristic, complemented
6#71782C211yesmaximal, characteristic, complemented
7#71729C211yesmaximal, characteristic, complemented
8#71722C211yesmaximal, characteristic, complemented
9#71700C211yesmaximal, characteristic, complemented
10#71695C211yesmaximal, characteristic, complemented
11#71685C211yesmaximal, characteristic
12#71679C211yesmaximal, characteristic
13#71631C211yesmaximal, characteristic, complemented
14C4×#832C211yesmaximal, characteristic, complemented
15#71582C211yesmaximal, characteristic, complemented
16#23585—31nomaximal, Sylow
17C3×#542—24no—
18C3×#542—24no—
19C2×C3×C4⋊Q8C2211yescharacteristic
20C2×C3×#126—21no—
21C2×C3×#124—21no—
22C2×C3×#124C2211yescharacteristic
23C2×C3×#123—21no—
24C2×C3×C22⋊Q8—21no—
25C2×C3×C22⋊Q8C2211yescharacteristic
26C2×C3×#121C2211yescharacteristic
27C2×C3×C4×Q8C2211yescharacteristic
28C2×C3×C4×D4C2211yescharacteristic
29C2×C3×#117C2211yescharacteristic
30C22×#216C2211yescharacteristic
31C22×#214C2211yescharacteristic
32C2×#924C2211yescharacteristic
33C2×C4×Dic6C2211yescharacteristic
34C2×#835C2211yescharacteristic
35C2×#835C2211yescharacteristic
36C2×#835C2211yescharacteristic
37C2×#832C2211yescharacteristic
38C2×#832C2211yescharacteristic
39C2×#832C2211yescharacteristic
40#5212C2211yescharacteristic
41C2×#830C2211yescharacteristic
42C2×#830C2211yescharacteristic
43C4×#216—24no—
44#5018—24no—
45#4978—21no—
46#4976—21no—
47C2×#810C2211yescharacteristic
48C2×#810C2211yescharacteristic
49C2×#807C2211yescharacteristic
50C2×#807C2211yescharacteristic
51#4945—21no—
52#4944—21no—
53C4×C4⋊Dic3C2211yescharacteristic
54#4929C2211yescharacteristic
55#4928C2211yescharacteristic
56C2×#803C2211yescharacteristic
57C2×C4×C3⋊C8C2211yescharacteristic
58#4529C2211yescharacteristic
59#4529C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62#4524C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#542D311yescharacteristic
65C2×#440—31no—
66C2×C4×Q16—31no—
67#2323—31no—
68#2057—31no—
69#2042—31no—
70#2036—31no—
71#2033—31no—
72#2024—31no—
73#2015—31no—
74#2001—31no—
75#2000—31no—
76#1763—31no—
77C4×#102—31no—
78#1750—31no—
79C22×C3×Q8—21no—
80C22×C3×Q8C2311yescharacteristic
81C22×C3×D4—21no—
82C22×C3×D4C2311yescharacteristic
83C23×C3×C4—21no—
84C23×C3×C4C2311yescharacteristic
85C22×Dic6C2311yescharacteristic
86C3×C4⋊Q8—22no—
87C3×C4⋊Q8—22no—
88C3×#126—28no—
89C3×#124—28no—
90C3×#124—22no—
91C3×#124—22no—
92C3×#123—28no—
93C3×C22⋊Q8—28no—
94C3×C22⋊Q8—22no—
95C3×C22⋊Q8—22no—
96C3×#121—22no—
97C3×#121—22no—
98C3×C4×Q8—22no—
99C3×C4×Q8D414yes—
100C3×C4×D4—22no—
101C3×C4×D4D414yes—
102C3×#117—22no—
103C3×#117—22no—
104C2×C3×C4⋊C4—21no—
105C2×C3×C4⋊C4—21no—
106C2×C3×C4⋊C4—21no—
107C2×C3×C4⋊C4D411yescharacteristic
108C2×C3×C4⋊C4D411yescharacteristic
109C2×C3×C4⋊C4C2311yescharacteristic
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⋊C4D411yescharacteristic
117C2×C3×C22⋊C4D411yescharacteristic
118C2×C3×C42—21no—
119C2×C3×C42C2311yescharacteristic
120C2×C3×C42C2311yescharacteristic
121C2×#217—21no—
122C2×#217—21no—
123C2×#216—22no—
124C2×#216—22no—
125C2×#216—22no—
126C2×#214—22no—
127C2×#214—22no—
128C2×#214—22no—
129C2×C4⋊Dic3C2311yescharacteristic
130C2×C4⋊Dic3C2311yescharacteristic
131C2×C4⋊Dic3C2311yescharacteristic
132#924—22no—
133#924—22no—
134C2×Dic3⋊C4—21no—
135C2×Dic3⋊C4—21no—
136C2×Dic3⋊C4—21no—
137C2×C4×Dic3—21no—
138C2×C4×Dic3—21no—
139C22×C3⋊C8C2311yescharacteristic
140C22×C3⋊C8C2311yescharacteristic
141C22×C3⋊C8C2311yescharacteristic
142C22×C3⋊C8C2311yescharacteristic
143C4×Dic6—22no—
144C4×Dic6—22no—
145#835—22no—
146#835—22no—
147#835—22no—
148#832—22no—
149#832—22no—
150#832—22no—
151C3⋊#95—21no—
152C3⋊#95—21no—
153C3⋊#95—21no—
154C3⋊#95—21no—
155C3⋊#95—21no—
156#830—22no—
157#830—22no—
158#810—22no—
159#810—22no—
160#807—22no—
161#807—22no—
162#803—22no—
163C4×C3⋊C8—22no—
164C22×Q16—31no—
165C22×SD16—31no—
166#542—24no—
167#542—24no—
168C2×C4⋊Q8C2×D311yescharacteristic
169C2×#126—21no—
170C2×#124—21no—
171C2×#124C2×D311yescharacteristic
172C2×#123—21no—
173C2×C22⋊Q8—21no—
174C2×C22⋊Q8—31no—
175C2×C22⋊Q8C2×D311yescharacteristic
176C2×#121C2×D311yescharacteristic
177C2×C4×Q8—31no—
178C2×C4×Q8C2×D311yescharacteristic
179C2×C4×D4C2×D311yescharacteristic
180C2×#117C2×D311yescharacteristic
181#440—64no—
182C4×Q16—64no—
183C2×#107—31no—
184C2×#107—31no—
185C2×#103—31no—
186C2×#103—31no—
187C2×#103—31no—
188C2×#103—31no—
189C2×#103—31no—
190C2×#102—31no—
191C2×#102—31no—
192C2×#102—31no—
193C2×C22⋊C8—31no—
194C2×C22⋊C8—31no—
195C2×#97—31no—
196C2×C4×C8—31no—
197#391—31no—
198#389—31no—
199#389—61no—
200#388—61no—
201#388—61no—
202#387—61no—
203#380—31no—
204C4×C4⋊C4—31no—
205#340—31no—
206#340—31no—
207#340—31no—
208#340—31no—
209#336—31no—
210#336—31no—
211C24×C3—21no—
212C24×C3C2×D411yescharacteristic
213C2×C3×Q8—24no—
214C2×C3×Q8—21no—
215C2×C3×Q8—21no—
216C2×C3×Q8—21no—
217C2×C3×Q8—21no—
218C2×C3×Q8—21no—
219C2×C3×Q8—81no—
220C2×C3×Q8—81no—
221C2×C3×Q8C2×D412yes—
222C2×C3×D4—24no—
223C2×C3×D4—21no—
224C2×C3×D4—21no—
225C2×C3×D4—21no—
226C2×C3×D4—21no—
227C2×C3×D4—21no—
228C2×C3×D4—81no—
229C2×C3×D4—81no—
230C2×C3×D4C2×D412yes—
231C22×C3×C4—21no—
232C22×C3×C4—21no—
233C22×C3×C4—21no—
234C22×C3×C4—21no—
235C22×C3×C4—21no—
236C22×C3×C4—21no—
237C22×C3×C4—21no—
238C22×C3×C4—21no—
239C22×C3×C4—21no—
240C22×C3×C4—24no—
241C22×C3×C4—81no—
242C22×C3×C4—81no—
243C22×C3×C4C2×D411yescharacteristic
244C22×C3×C4C2×D411yescharacteristic
245C22×C3×C4C2×D411yescharacteristic
246C22×C3×C4C2×D411yescharacteristic
247C22×C3×C4C2×D411yescharacteristic
248C22×C3×C4C2411yescharacteristic
249C22×Dic3—21no—
250C22×Dic3—21no—
251C22×Dic3—21no—
252C22×Dic3—21no—
253C2×Dic6—21no—
254C2×Dic6—21no—
255C2×Dic6—21no—
256C2×Dic6—21no—
257C2×Dic6—21no—
258C2×Dic6#4112yes—
259C3×C4⋊C4—24no—
260C3×C4⋊C4—24no—
261C3×C4⋊C4—24no—
262C3×C4⋊C4—22no—
263C3×C4⋊C4—22no—
264C3×C4⋊C4—21no—
265C3×C4⋊C4—21no—
266C3×C4⋊C4C2×D412yes—
267C3×C4⋊C4C2×D412yes—
268C3×C22⋊C4—24no—
269C3×C22⋊C4—24no—
270C3×C22⋊C4—24no—
271C3×C22⋊C4—24no—
272C3×C22⋊C4—24no—
273C3×C22⋊C4—22no—
274C3×C22⋊C4—22no—
275C3×C42—24no—
276C3×C42—21no—
277C3×C42—21no—
278C3×C42C2×D412yes—
279C3×C42C2×D412yes—
280#217—24no—
281#217—81no—
282#216—28no—
283#214—28no—
284C4⋊Dic3—21no—
285C4⋊Dic3—21no—
286C4⋊Dic3—21no—
287C4⋊Dic3—21no—
288C4⋊Dic3—21no—
289C4⋊Dic3#4112yes—
290Dic3⋊C4—24no—
291Dic3⋊C4—42no—
292Dic3⋊C4—81no—
293C4×Dic3—42no—
294C4×Dic3—81no—
295C2×C3⋊C8—21no—
296C2×C3⋊C8—21no—
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#4112yes—
306C2×C3⋊C8#4112yes—
307C22×Q8—21no—
308C22×Q8—31no—
309C22×Q8C22×D311yescharacteristic
310C22×D4—21no—
311C22×D4C22×D311yescharacteristic
312C23×C4—21no—
313C23×C4C22×D311yescharacteristic
314C2×Q16—62no—
315C2×Q16—62no—
316C2×Q16—62no—
317C2×SD16—62no—
318C2×SD16—62no—
319C2×SD16—62no—
320C22×C8—31no—
321C22×C8—31no—
322C22×C8—31no—
323C22×C8—31no—
324C4⋊Q8—22no—
325C4⋊Q8—22no—
326#126—28no—
327#124—28no—
328#124—22no—
329#124—22no—
330#123—28no—
331C22⋊Q8—28no—
332C22⋊Q8—22no—
333C22⋊Q8—22no—
334C22⋊Q8—62no—
335C22⋊Q8—62no—
336#121—22no—
337#121—22no—
338C4×Q8—22no—
339C4×Q8—62no—
340C4×Q8—62no—
341C4×Q8#6714yes—
342C4×D4—22no—
343C4×D4#6714yes—
344#117—22no—
345#117—22no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—31no—
350C2×C4⋊C4—31no—
351C2×C4⋊C4—31no—
352C2×C4⋊C4—61no—
353C2×C4⋊C4—61no—
354C2×C4⋊C4—61no—
355C2×C4⋊C4#6711yescharacteristic
356C2×C4⋊C4#6711yescharacteristic
357C2×C4⋊C4C22×D311yescharacteristic
358C2×C4⋊C4C22×D311yescharacteristic
359C2×C22⋊C4—21no—
360C2×C22⋊C4—21no—
361C2×C22⋊C4—21no—
362C2×C22⋊C4—21no—
363C2×C22⋊C4—21no—
364C2×C22⋊C4—61no—
365C2×C22⋊C4—61no—
366C2×C22⋊C4#6711yescharacteristic
367C2×C22⋊C4#6711yescharacteristic
368C2×C42—21no—
369C2×C42—61no—
370C2×C42—61no—
371C2×C42C22×D311yescharacteristic
372C2×C42C22×D311yescharacteristic
373#107—62no—
374#107—62no—
375#103—62no—
376#103—62no—
377#103—62no—
378#103—62no—
379#103—62no—
380#102—62no—
381#102—62no—
382#102—62no—
383C22⋊C8—62no—
384C22⋊C8—62no—
385#97—62no—
386C4×C8—62no—
387#95—61no—
388#95—61no—
389#95—61no—
390#95—61no—
391#95—61no—
392C23×C3—21no—
393C23×C3—22no—
394C23×C3—21no—
395C23×C3—21no—
396C23×C3—21no—
397C23×C3—21no—
398C23×C3—21no—
399C23×C3—21no—
400C23×C3—41no—
401C23×C3—41no—
402C23×C3—41no—
403C23×C3—41no—
404C23×C3—41no—
405C23×C3—41no—
406C23×C3C22×D411yescharacteristic
407C3×Q8—22no—
408C3×Q8—22no—
409C3×Q8—41no—
410C3×Q8—41no—
411C3×Q8—84no—
412C3×D4—22no—
413C3×D4—22no—
414C3×D4—41no—
415C3×D4—41no—
416C3×D4—84no—
417C2×C3×C4—21no—
418C2×C3×C4—21no—
419C2×C3×C4—21no—
420C2×C3×C4—21no—
421C2×C3×C4—21no—
422C2×C3×C4—22no—
423C2×C3×C4—21no—
424C2×C3×C4—22no—
425C2×C3×C4—21no—
426C2×C3×C4—22no—
427C2×C3×C4—21no—
428C2×C3×C4—21no—
429C2×C3×C4—21no—
430C2×C3×C4—21no—
431C2×C3×C4—21no—
432C2×C3×C4—21no—
433C2×C3×C4—41no—
434C2×C3×C4—41no—
435C2×C3×C4—41no—
436C2×C3×C4—41no—
437C2×C3×C4—41no—
438C2×C3×C4—41no—
439C2×C3×C4—41no—
440C2×C3×C4—41no—
441C2×C3×C4—41no—
442C2×C3×C4—41no—
443C2×C3×C4—84no—
444C2×C3×C4#12012yes—
445C2×C3×C4#12012yes—
446C2×C3×C4C22×D411yescharacteristic
447C2×C3×C4C22×D411yescharacteristic
448C2×C3×C4C2×#4111yescharacteristic
449C2×C3×C4C2×#4111yescharacteristic
450C2×C3×C4C2×#4111yescharacteristic
451C2×C3×C4C2×#4111yescharacteristic
452C2×Dic3—22no—
453C2×Dic3—22no—
454C2×Dic3—41no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457C2×Dic3—41no—
458C2×Dic3—41no—
459C2×Dic3—41no—
460C2×Dic3—41no—
461C2×Dic3—41no—
462C2×Dic3—41no—
463C2×Dic3—41no—
464Dic6—22no—
465Dic6—22no—
466Dic6—41no—
467Dic6—41no—
468C3⋊C8—22no—
469C3⋊C8—22no—
470C3⋊C8—41no—
471C3⋊C8—41no—
472C24—21no—
473C24C2×#6711yescharacteristic
474C2×Q8—24no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—32no—
481C2×Q8—61no—
482C2×Q8—61no—
483C2×Q8—61no—
484C2×Q8—61no—
485C2×Q8—61no—
486C2×Q8—81no—
487C2×Q8—81no—
488C2×Q8C2×#6712yes—
489C2×D4—24no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—81no—
496C2×D4—81no—
497C2×D4C2×#6712yes—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—24no—
508C22×C4—61no—
509C22×C4—61no—
510C22×C4—61no—
511C22×C4—61no—
512C22×C4—81no—
513C22×C4—81no—
514C22×C4C2×#6711yescharacteristic
515C22×C4C2×#6711yescharacteristic
516C22×C4C2×#6711yescharacteristic
517C22×C4C2×#6711yescharacteristic
518C22×C4C2×#6711yescharacteristic
519C22×C4C23×D311yescharacteristic
520Q16—68no—
521SD16—68no—
522C2×C8—32no—
523C2×C8—32no—
524C2×C8—61no—
525C2×C8—61no—
526C2×C8—61no—
527C2×C8—61no—
528C2×C8—61no—
529C2×C8—61no—
530C2×C8—61no—
531C2×C8—61no—
532C2×C8—61no—
533C2×C8—61no—
534C4⋊C4—24no—
535C4⋊C4—24no—
536C4⋊C4—24no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—32no—
542C4⋊C4—64no—
543C4⋊C4—61no—
544C4⋊C4—61no—
545C4⋊C4—61no—
546C4⋊C4—61no—
547C4⋊C4—61no—
548C4⋊C4—122no—
549C4⋊C4—241no—
550C4⋊C4C2×#6712yes—
551C4⋊C4C2×#6712yes—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C22⋊C4—24no—
555C22⋊C4—24no—
556C22⋊C4—24no—
557C22⋊C4—22no—
558C22⋊C4—22no—
559C22⋊C4—64no—
560C22⋊C4—241no—
561C42—24no—
562C42—21no—
563C42—21no—
564C42—122no—
565C42—241no—
566C42C2×#6712yes—
567C42C2×#6712yes—
568C22×C3—41no—
569C22×C3—41no—
570C22×C3—41no—
571C22×C3—42no—
572C22×C3—41no—
573C22×C3—41no—
574C22×C3—41no—
575C22×C3—42no—
576C22×C3—42no—
577C22×C3—41no—
578C22×C3—81no—
579C22×C3—81no—
580C22×C3—81no—
581C22×C3—81no—
582C22×C3C2×#12011yescharacteristic
583C22×C3#52511yescharacteristic
584C22×C3#53211yescharacteristic
585C22×C3#57611yescharacteristic
586C22×C3#57711yescharacteristic
587C22×C3#57811yescharacteristic
588C22×C3#57811yescharacteristic
589C3×C4—22no—
590C3×C4—22no—
591C3×C4—41no—
592C3×C4—42no—
593C3×C4—41no—
594C3×C4—41no—
595C3×C4—42no—
596C3×C4—42no—
597C3×C4#52511yescharacteristic
598C3×C4#52511yescharacteristic
599C3×C4#53211yescharacteristic
600C3×C4#53211yescharacteristic
601Dic3—42no—
602Dic3—42no—
603Dic3—81no—
604Dic3—81no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—22no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23C22×#6711yescharacteristic
620Q8—22no—
621Q8—22no—
622Q8—41no—
623Q8—41no—
624Q8—62no—
625Q8—62no—
626Q8—84no—
627Q8—121no—
628Q8—121no—
629D4—22no—
630D4—22no—
631D4—41no—
632D4—41no—
633D4—84no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—22no—
646C2×C4—21no—
647C2×C4—22no—
648C2×C4—21no—
649C2×C4—22no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—62no—
661C2×C4—62no—
662C2×C4—84no—
663C2×C4—121no—
664C2×C4—121no—
665C2×C4—121no—
666C2×C4—121no—
667C2×C4—121no—
668C2×C4—121no—
669C2×C4—121no—
670C2×C4—121no—
671C2×C4—121no—
672C2×C4—121no—
673C2×C4#95312yes—
674C2×C4#95312yes—
675C2×C4D3×#4111yescharacteristic
676C2×C4D3×#4111yescharacteristic
677C2×C4D3×#4111yescharacteristic
678C2×C4D3×#4111yescharacteristic
679C2×C4C22×#6711yescharacteristic
680C2×C4C22×#6711yescharacteristic
681C8—62no—
682C8—62no—
683C8—121no—
684C8—121no—
685C2×C3—81no—
686C2×C3—82no—
687C2×C3#238811yescharacteristic
688C2×C3#301111yescharacteristic
689C2×C3#301211yescharacteristic
690C2×C3#312111yescharacteristic
691C2×C3#312411yescharacteristic
692C2×C3#317511yescharacteristic
693C2×C3#317811yescharacteristic
694C22—41no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22—42no—
700C22—42no—
701C22—41no—
702C22—41no—
703C22—42no—
704C22—81no—
705C22—81no—
706C22—81no—
707C22—81no—
708C22#582811yescharacteristic
709C22#583211yescharacteristic
710C22#583511yescharacteristic
711C22#583611yescharacteristic
712C22#583811yescharacteristic
713C22#583811yescharacteristic
714C22C2×#95311yescharacteristic
715C4—22no—
716C4—22no—
717C4—41no—
718C4—42no—
719C4—41no—
720C4—42no—
721C4—42no—
722C4—41no—
723C4—122no—
724C4—122no—
725C4—241no—
726C4—241no—
727C4#582811yescharacteristic
728C4#582811yescharacteristic
729C4#583211yescharacteristic
730C4#583211yescharacteristic
731C3#2358511yescharacteristic, complemented, Sylow
732C2—81no—
733C2—82no—
734C2#8345711yescharacteristic
735C2#8345811yescharacteristic
736C2#8346111yescharacteristic
737C2#8346711yescharacteristic
738C2#8409511yescharacteristic
739C2#8410211yescharacteristic
740C2#8411711yescharacteristic
subgroupG/H
centerC23C22×#67
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×#542C2
socleC23×C3C22×D4
prime radicalC2×C3×#121C22
hypercenterC2×#542D3
hypocenterC3#23585
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
2. C2×C4×#216C2semidirect
3. C2×#5018C2semidirect
4. #82235C2semidirect
5. #71794C2semidirect
6. #71782C2semidirect
7. #71729C2semidirect
8. #71722C2semidirect
9. #71700C2semidirect
10. #71695C2semidirect
13. #71631C2semidirect
14. C4×#832C2semidirect
15. #71582C2semidirect
731. C3#23585semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5422
C2×C4×#2162
C2×#50182
#822352
#717942
#717822
#717292
#717222
#717002
#716952
#716852
#716792
#716312
C4×#8322
#715822
#235853