Finite Group Databasebeta

← #10901420

Subgroups — #10901420

Order 768.

1304 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5548C211yesmaximal, characteristic
2C2×C3×#478C211yesmaximal, characteristic, complemented
3#83072C211yesmaximal, characteristic, complemented
4C2×#5066C211yesmaximal, characteristic, complemented
5#71605C211yesmaximal, characteristic, complemented
6#70634C211yesmaximal, characteristic, complemented
7#70617C211yesmaximal, characteristic, complemented
8#70581C211yesmaximal, characteristic, complemented
9#70565C211yesmaximal, characteristic, complemented
10#70480C211yesmaximal, characteristic, complemented
11#70475C211yesmaximal, characteristic, complemented
12#70211C211yesmaximal, characteristic, complemented
13#70211C211yesmaximal, characteristic, complemented
14#70207C211yesmaximal, characteristic, complemented
15#70206C211yesmaximal, characteristic, complemented
16#29694—31nomaximal, Sylow
17C22×#235—21no—
18C2×C3×#125C2211yescharacteristic
19C2×C3×C4×D4C2211yescharacteristic
20C2×#940C2211yescharacteristic
21C2×#938C2211yescharacteristic
22C2×C4×#67—21no—
23#5548—24no—
24#5548—24no—
25C2×#895C2211yescharacteristic
26C2×#888C2211yescharacteristic
27C2×#885—21no—
28C2×#884—21no—
29C2×C4×D12C2211yescharacteristic
30C2×C42×D3C2211yescharacteristic
31C3×#478—24no—
32C2×C3×#107C2211yescharacteristic
33C2×C3×#106C2211yescharacteristic
34C2×C3×C4⋊C8C2211yescharacteristic
35C2×C3×#102C2211yescharacteristic
36C2×C3×#102C2211yescharacteristic
37C2×#832C2211yescharacteristic
38C2×#832C2211yescharacteristic
39C2×#821C2211yescharacteristic
40C2×#821C2211yescharacteristic
41C2×(C2×D3)⋊C8C2211yescharacteristic
42C2×(C2×D3)⋊C8C2211yescharacteristic
43#5066—24no—
44#4989—21no—
45#4989—21no—
46#4987C2211yescharacteristic
47#4987C2211yescharacteristic
48#4978—21no—
49#4978—21no—
50#4972C2211yescharacteristic
51#4972C2211yescharacteristic
52C2×#809C2211yescharacteristic
53C2×#809C2211yescharacteristic
54C2×#808C2211yescharacteristic
55C2×#807C2211yescharacteristic
56#4936C2211yescharacteristic
57C2×C4⋊(C3⋊C8)C2211yescharacteristic
58#4551C2211yescharacteristic
59#4551C2211yescharacteristic
60#4550C2211yescharacteristic
61#4550C2211yescharacteristic
62#4529C2211yescharacteristic
63#4529C2211yescharacteristic
64C2×#532—31no—
65C2×#478—31no—
66C2×#478D311yescharacteristic, complemented
67#2851—31no—
68#2058—31no—
69#2057—31no—
70#2041—31no—
71#2041—31no—
72#2034—31no—
73#2034—31no—
74#2033—31no—
75#2033—31no—
76#1804—31no—
77#1804—31no—
78#1797—31no—
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4—21no—
81C22×#67—21no—
82C22×#67—21no—
83C22×#67—21no—
84C2×#235—28no—
85C2×#235—44no—
86C2×#235—44no—
87C22×D12—21no—
88C22×D12C2311yescharacteristic
89C22×C4×D3—21no—
90C22×C4×D3D411yescharacteristic
91C22×C4×D3D411yescharacteristic
92C22×C4×D3C2311yescharacteristic
93C22×Dic6—21no—
94C22×C3×C8C2311yescharacteristic
95C22×C3×C8C2311yescharacteristic
96C3×#125—22no—
97C3×#125—22no—
98C3×C4×D4—22no—
99C3×C4×D4D414yes—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4—21no—
102C2×C3×C4⋊C4C2311yescharacteristic
103C2×C3×C4⋊C4C2311yescharacteristic
104C2×C3×C4⋊C4C2311yescharacteristic
105C2×C3×C22⋊C4—21no—
106C2×C3×C42C2311yescharacteristic
107C2×#217—21no—
108#940—22no—
109#940—22no—
110#938—22no—
111#938—22no—
112C4×#67—28no—
113C2×(C2×D3)⋊C4—21no—
114C2×(C2×D3)⋊C4—21no—
115C2×(C2×D3)⋊C4—21no—
116C2×(C2×D3)⋊C4—21no—
117C2×C4⋊Dic3C2311yescharacteristic
118C2×C4⋊Dic3C2311yescharacteristic
119C2×C4⋊Dic3C2311yescharacteristic
120C2×Dic3⋊C4—21no—
121C2×Dic3⋊C4—21no—
122C2×Dic3⋊C4—21no—
123C2×C4×Dic3D411yescharacteristic
124C2×C4×Dic3D411yescharacteristic
125C2×C4×Dic3C2311yescharacteristic
126C22×C3⋊C8C2311yescharacteristic
127C22×C3⋊C8C2311yescharacteristic
128#895—22no—
129#895—22no—
130#888—22no—
131#888—22no—
132#885—28no—
133#884—28no—
134C4×D12—22no—
135C4×D12D414yes—
136C42×D3—22no—
137C42×D3—22no—
138C3×#107—22no—
139C3×#106—22no—
140C3×C4⋊C8—22no—
141C3×#102—22no—
142C3×#102—22no—
143#832—41no—
144#832—41no—
145C3⋊#95—21no—
146C3⋊#95—21no—
147C3⋊#95—21no—
148C3⋊#95—21no—
149C3⋊#95—21no—
150C3⋊#95—21no—
151#821—41no—
152#821—41no—
153(C2×D3)⋊C8—41no—
154(C2×D3)⋊C8—41no—
155#809—22no—
156#809—22no—
157#808—22no—
158#807—22no—
159C4⋊(C3⋊C8)—22no—
160C22×#41—61no—
161#532—64no—
162#532—64no—
163C2×C4⋊Q8—31no—
164C2×#127—31no—
165C2×#125C2×D311yescharacteristic
166C2×#124—61no—
167C2×#121—31no—
168C2×#121—31no—
169C2×#121—61no—
170C2×C4×D4—31no—
171C2×C4×D4—61no—
172C2×C4×D4C2×D311yescharacteristic
173C22×C42—31no—
174#478—24no—
175#478—64no—
176C2×#107—31no—
177C2×#107C2×D311yescharacteristic
178C2×#106—31no—
179C2×#106C2×D311yescharacteristic
180C2×C4⋊C8—31no—
181C2×C4⋊C8C2×D311yescharacteristic
182C2×#102—31no—
183C2×#102—31no—
184C2×#102—31no—
185C2×#102—31no—
186C2×#102—31no—
187C2×#102—31no—
188C2×#102C2×D311yescharacteristic
189C2×#102C2×D311yescharacteristic
190C2×C22⋊C8—31no—
191C2×C22⋊C8—31no—
192#389—31no—
193#389—31no—
194#387—61no—
195#387—61no—
196#385—61no—
197#385—61no—
198#382—31no—
199#380—31no—
200#380—31no—
201#340—31no—
202#340—31no—
203#340—31no—
204#340—31no—
205#336—31no—
206#336—31no—
207C24×C3—21no—
208C23×D3—21no—
209C23×D3C2×D411yescharacteristic
210C2×C3×D4—21no—
211C2×C3×D4—21no—
212C2×C3×D4—21no—
213C2×C3×D4—21no—
214C2×C3×D4—21no—
215C2×C3×D4C2×D412yes—
216C22×C3×C4—21no—
217C22×C3×C4—24no—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—42no—
221C22×C3×C4—42no—
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2411yescharacteristic
225C2×#67—24no—
226C2×#67—24no—
227C2×#67—24no—
228C2×#67—42no—
229C2×#67—42no—
230C2×#67—42no—
231C2×#67—42no—
232C2×#67—42no—
233C2×#67—42no—
234C22×Dic3—21no—
235C22×Dic3—21no—
236C22×Dic3—21no—
237C22×Dic3C2×D411yescharacteristic
238C22×Dic3C2×D411yescharacteristic
239C22×Dic3C2×D411yescharacteristic
240#235—432no—
241C2×D12—21no—
242C2×D12—21no—
243C2×D12—21no—
244C2×D12—21no—
245C2×D12—24no—
246C2×D12—21no—
247C2×D12—42no—
248C2×D12—42no—
249C2×D12C2×D412yes—
250C2×C4×D3—22no—
251C2×C4×D3—22no—
252C2×C4×D3—22no—
253C2×C4×D3—22no—
254C2×C4×D3—24no—
255C2×C4×D3—21no—
256C2×C4×D3—21no—
257C2×C4×D3—21no—
258C2×C4×D3—21no—
259C2×C4×D3—21no—
260C2×C4×D3—21no—
261C2×C4×D3—22no—
262C2×C4×D3—41no—
263C2×C4×D3—42no—
264C2×C4×D3—42no—
265C2×Dic6—24no—
266C2×Dic6—42no—
267C2×Dic6—42no—
268C2×C3×C8—21no—
269C2×C3×C8—21no—
270C2×C3×C8—21no—
271C2×C3×C8—21no—
272C2×C3×C8—21no—
273C2×C3×C8—21no—
274C3×C4⋊C4—21no—
275C3×C4⋊C4—21no—
276C3×C4⋊C4—21no—
277C3×C4⋊C4—21no—
278C3×C4⋊C4—21no—
279C3×C4⋊C4—42no—
280C3×C4⋊C4—42no—
281C3×C4⋊C4C2×D412yes—
282C3×C22⋊C4—24no—
283C3×C42C2×D412yes—
284C3×C42C2×D412yes—
285#217—24no—
286(C2×D3)⋊C4—24no—
287(C2×D3)⋊C4—24no—
288(C2×D3)⋊C4—42no—
289(C2×D3)⋊C4—42no—
290C4⋊Dic3—21no—
291C4⋊Dic3—21no—
292C4⋊Dic3—21no—
293C4⋊Dic3—21no—
294C4⋊Dic3—21no—
295C4⋊Dic3C2×D412yes—
296Dic3⋊C4—24no—
297Dic3⋊C4—42no—
298Dic3⋊C4—42no—
299C4×Dic3—22no—
300C4×Dic3—22no—
301C4×Dic3—21no—
302C4×Dic3—21no—
303C2×C3⋊C8—21no—
304C2×C3⋊C8—21no—
305C2×C3⋊C8—21no—
306C2×C3⋊C8—21no—
307C2×C3⋊C8—21no—
308C2×C3⋊C8—21no—
309C2×#41—68no—
310C2×#41—124no—
311C2×#41—124no—
312C22×Q8—61no—
313C22×D4—31no—
314C22×D4—61no—
315C22×D4—61no—
316C22×D4—61no—
317C22×D4—61no—
318C22×D4C22×D311yescharacteristic
319C23×C4—21no—
320C23×C4—31no—
321C23×C4—31no—
322C23×C4—31no—
323C23×C4—61no—
324C22×C8—31no—
325C22×C8—31no—
326C22×C8C22×D311yescharacteristic
327C22×C8C22×D311yescharacteristic
328C4⋊Q8—62no—
329C4⋊Q8—62no—
330#127—62no—
331#127—62no—
332#125—22no—
333#125—22no—
334#124—68no—
335#121—68no—
336#121—62no—
337#121—62no—
338#121—62no—
339#121—62no—
340C4×D4—22no—
341C4×D4—34no—
342C4×D4—68no—
343C4×D4—62no—
344C4×D4#6714yes—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—31no—
348C2×C4⋊C4—31no—
349C2×C4⋊C4—31no—
350C2×C4⋊C4—61no—
351C2×C4⋊C4—61no—
352C2×C4⋊C4—61no—
353C2×C4⋊C4C22×D311yescharacteristic
354C2×C4⋊C4C22×D311yescharacteristic
355C2×C4⋊C4C22×D311yescharacteristic
356C2×C22⋊C4—21no—
357C2×C22⋊C4—61no—
358C2×C22⋊C4—61no—
359C2×C22⋊C4—61no—
360C2×C22⋊C4—61no—
361C2×C22⋊C4—61no—
362C2×C42—31no—
363C2×C42—31no—
364C2×C42—31no—
365C2×C42—62no—
366C2×C42—62no—
367C2×C42C22×D311yescharacteristic
368#107—22no—
369#107—62no—
370#106—22no—
371#106—62no—
372C4⋊C8—22no—
373C4⋊C8—62no—
374#102—22no—
375#102—22no—
376#102—62no—
377#102—62no—
378#102—121no—
379#102—121no—
380#102—121no—
381#102—121no—
382C22⋊C8—121no—
383C22⋊C8—121no—
384#95—61no—
385#95—61no—
386#95—61no—
387#95—61no—
388#95—61no—
389#95—61no—
390C23×C3—22no—
391C23×C3—41no—
392C23×C3—41no—
393C23×C3—41no—
394C23×C3—41no—
395C23×C3—41no—
396C23×C3—41no—
397C23×C3C22×D411yescharacteristic
398C22×D3—21no—
399C22×D3—21no—
400C22×D3—21no—
401C22×D3—21no—
402C22×D3—21no—
403C22×D3—21no—
404C22×D3—22no—
405C22×D3—41no—
406C22×D3—41no—
407C22×D3—41no—
408C22×D3—41no—
409C22×D3—41no—
410C22×D3—41no—
411C22×D3AGL(1,ℤ/8)12yes—
412C3×D4—22no—
413C3×D4—22no—
414C3×D4—41no—
415C3×D4—41no—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—21no—
419C2×C3×C4—21no—
420C2×C3×C4—22no—
421C2×C3×C4—48no—
422C2×C3×C4—41no—
423C2×C3×C4—41no—
424C2×C3×C4—41no—
425C2×C3×C4—41no—
426C2×C3×C4—41no—
427C2×C3×C4—41no—
428C2×C3×C4—41no—
429C2×C3×C4—41no—
430C2×C3×C4#12012yes—
431C2×C3×C4#12012yes—
432C2×C3×C4C22×D411yescharacteristic
433C2×C3×C4C22×D411yescharacteristic
434C2×C3×C4H(5,𝔽2)11yescharacteristic
435C2×C3×C42−1+411yescharacteristic
436C2×C3×C42−1+411yescharacteristic
437C2×C3×C42−1+411yescharacteristic
438#67—48no—
439#67—48no—
440#67—48no—
441C2×Dic3—21no—
442C2×Dic3—21no—
443C2×Dic3—21no—
444C2×Dic3—21no—
445C2×Dic3—21no—
446C2×Dic3—22no—
447C2×Dic3—21no—
448C2×Dic3—21no—
449C2×Dic3—41no—
450C2×Dic3—41no—
451C2×Dic3—41no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454C2×Dic3—41no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457C2×Dic3#13512yes—
458C2×Dic3AGL(1,ℤ/8)12yes—
459D12—22no—
460D12—22no—
461D12—48no—
462D12—41no—
463D12—41no—
464C4×D3—28no—
465C4×D3—44no—
466C4×D3—48no—
467C4×D3—41no—
468C4×D3—41no—
469C4×D3—41no—
470C4×D3—41no—
471Dic6—48no—
472C3×C8—41no—
473C3×C8—41no—
474C3⋊C8—41no—
475C3⋊C8—41no—
476C24—21no—
477C24—31no—
478C24—61no—
479#41—1232no—
480C2×Q8—64no—
481C2×Q8—122no—
482C2×Q8—122no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—32no—
489C2×D4—64no—
490C2×D4—64no—
491C2×D4—64no—
492C2×D4—64no—
493C2×D4—61no—
494C2×D4—61no—
495C2×D4—61no—
496C2×D4—61no—
497C2×D4—61no—
498C2×D4—122no—
499C2×D4—122no—
500C2×D4—122no—
501C2×D4—122no—
502C2×D4—122no—
503C2×D4—122no—
504C2×D4—122no—
505C2×D4—122no—
506C2×D4C2×#6712yes—
507C22×C4—21no—
508C22×C4—24no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—31no—
512C22×C4—31no—
513C22×C4—31no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—62no—
517C22×C4—62no—
518C22×C4—62no—
519C22×C4—62no—
520C22×C4—61no—
521C22×C4—62no—
522C22×C4—64no—
523C22×C4—61no—
524C22×C4—61no—
525C22×C4—61no—
526C22×C4—61no—
527C22×C4—61no—
528C22×C4—61no—
529C22×C4—61no—
530C22×C4—61no—
531C22×C4—121no—
532C22×C4—122no—
533C22×C4—122no—
534C22×C4D3×D411yescharacteristic
535C22×C4D3×D411yescharacteristic
536C22×C4C23×D311yescharacteristic
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—61no—
544C2×C8—61no—
545C2×C8—61no—
546C2×C8—61no—
547C2×C8—61no—
548C2×C8—61no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—32no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—64no—
558C4⋊C4—61no—
559C4⋊C4—61no—
560C4⋊C4—61no—
561C4⋊C4—61no—
562C4⋊C4—61no—
563C4⋊C4—122no—
564C4⋊C4—122no—
565C4⋊C4C2×#6712yes—
566C22⋊C4—24no—
567C22⋊C4—64no—
568C22⋊C4—64no—
569C22⋊C4—64no—
570C22⋊C4—122no—
571C22⋊C4—122no—
572C42—62no—
573C42—62no—
574C42—61no—
575C42—61no—
576C42D3×D412yes—
577C42C2×#6712yes—
578C22×C3—42no—
579C22×C3—42no—
580C22×C3—42no—
581C22×C3—81no—
582C22×C3—81no—
583C22×C3—81no—
584C22×C3—81no—
585C22×C3C2×#12011yescharacteristic
586C22×C3#53611yescharacteristic
587C22×C3#53711yescharacteristic
588C22×C3C2×#13511yescharacteristic
589C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
590C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
591C22×C3#57511yescharacteristic
592C2×D3—22no—
593C2×D3—22no—
594C2×D3—22no—
595C2×D3—41no—
596C2×D3—41no—
597C2×D3—41no—
598C2×D3—41no—
599C2×D3—42no—
600C2×D3—42no—
601C2×D3—42no—
602C2×D3—81no—
603C2×D3—81no—
604C2×D3—81no—
605C2×D3—81no—
606C3×C4—22no—
607C3×C4—22no—
608C3×C4—42no—
609C3×C4—81no—
610C3×C4—81no—
611C3×C4#53611yescharacteristic
612C3×C4#53611yescharacteristic
613C3×C4#53711yescharacteristic
614C3×C4#53711yescharacteristic
615Dic3—22no—
616Dic3—22no—
617Dic3—41no—
618Dic3—42no—
619Dic3—81no—
620Dic3—81no—
621C23—22no—
622C23—32no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23—61no—
630C23—61no—
631C23—61no—
632C23—61no—
633C23—61no—
634C23—61no—
635C23—62no—
636C23—121no—
637C23—121no—
638C23—121no—
639C23—121no—
640C23—121no—
641C23—121no—
642C23C2×D3×D411yescharacteristic
643Q8—128no—
644D4—22no—
645D4—22no—
646D4—41no—
647D4—41no—
648D4—62no—
649D4—62no—
650D4—128no—
651D4—128no—
652D4—128no—
653D4—128no—
654D4—121no—
655D4—121no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—22no—
661C2×C4—32no—
662C2×C4—32no—
663C2×C4—48no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—68no—
673C2×C4—61no—
674C2×C4—61no—
675C2×C4—61no—
676C2×C4—61no—
677C2×C4—61no—
678C2×C4—62no—
679C2×C4—61no—
680C2×C4—61no—
681C2×C4—124no—
682C2×C4—128no—
683C2×C4—121no—
684C2×C4—121no—
685C2×C4—121no—
686C2×C4—121no—
687C2×C4—121no—
688C2×C4—121no—
689C2×C4—121no—
690C2×C4—121no—
691C2×C4—121no—
692C2×C4—121no—
693C2×C4—121no—
694C2×C4—121no—
695C2×C4#93712yes—
696C2×C4#93712yes—
697C2×C4C2×D3×D411yescharacteristic
698C2×C4#100711yescharacteristic
699C2×C4#100711yescharacteristic
700C2×C4#100911yescharacteristic
701C2×C4#101011yescharacteristic
702C2×C4C22×#6711yescharacteristic
703C8—41no—
704C8—41no—
705C8—121no—
706C8—121no—
707C2×C3—82no—
708C2×C3#261611yescharacteristic
709C2×C3#300211yescharacteristic
710C2×C3#300311yescharacteristic
711C2×C3#322811yescharacteristic
712C2×C3#323411yescharacteristic
713C2×C3#324711yescharacteristic
714C2×C3#325111yescharacteristic
715D3—42no—
716D3—82no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—62no—
721C22—62no—
722C22—62no—
723C22—81no—
724C22—81no—
725C22—81no—
726C22—81no—
727C22—121no—
728C22—121no—
729C22—121no—
730C22—121no—
731C22—122no—
732C22—122no—
733C22—122no—
734C22—241no—
735C22—241no—
736C22—241no—
737C22—241no—
738C22#562811yescharacteristic
739C22#562911yescharacteristic
740C22D3×#13511yescharacteristic
741C22#576811yescharacteristic
742C22D3×AGL(1,ℤ/8)11yescharacteristic
743C22D3×AGL(1,ℤ/8)11yescharacteristic
744C22C2×#93711yescharacteristic
745C4—22no—
746C4—22no—
747C4—42no—
748C4—62no—
749C4—62no—
750C4—81no—
751C4—81no—
752C4—121no—
753C4—122no—
754C4—241no—
755C4—241no—
756C4#562811yescharacteristic
757C4#562911yescharacteristic
758C4#581611yescharacteristic
759C4#583311yescharacteristic
760C3#2969411yescharacteristic, complemented, Sylow
761C2—82no—
762C2—122no—
763C2—242no—
764C2#8114811yescharacteristic
765C2#8114911yescharacteristic
766C2#8117211yescharacteristic
767C2#8117411yescharacteristic
768C2#8282011yescharacteristic
769C2#8391111yescharacteristic
770C2#8394411yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×#478C2
socleC23×C3C22×D4
prime radicalC2×#5548C2
hypercenterC2×#478D3
hypocenterC3#29694
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#478

Complements

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

NH ≅ G/Ntype
2. C2×C3×#478C2semidirect
3. #83072C2semidirect
4. C2×#5066C2semidirect
5. #71605C2semidirect
6. #70634C2semidirect
7. #70617C2semidirect
8. #70581C2semidirect
9. #70565C2semidirect
10. #70480C2semidirect
11. #70475C2semidirect
12. #70211C2semidirect
13. #70211C2semidirect
14. #70207C2semidirect
15. #70206C2semidirect
66. C2×#478D3semidirect
760. C3#29694semidirect

Maximal subgroups

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

subgroupindex
C2×#55482
C2×C3×#4782
#830722
C2×#50662
#716052
#706342
#706172
#705812
#705652
#704802
#704752
#702112
#702072
#702062
#296943