Finite Group Databasebeta

← #10876323

Subgroups — #10876323

Order 768.

1052 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#82267C211yesmaximal, characteristic
2D3×#380C211yesmaximal, characteristic
3C3×#1825C211yesmaximal, characteristic, complemented
4#71575C211yesmaximal, characteristic, complemented
5#69955C211yesmaximal, characteristic
6#69929C211yesmaximal, characteristic, complemented
7#69506C211yesmaximal, characteristic, complemented
8#68890C211yesmaximal, characteristic, complemented
9#68875C211yesmaximal, characteristic, complemented
10#68874C211yesmaximal, characteristic, complemented
11#68871C211yesmaximal, characteristic, complemented
12#68871C211yesmaximal, characteristic, complemented
13#68833C211yesmaximal, characteristic, complemented
14#68832C211yesmaximal, characteristic, complemented
15#68831C211yesmaximal, characteristic, complemented
16#27602—31nomaximal, Sylow
17C23×C4×D3C2211yescharacteristic
18C2×C3×#117C2211yescharacteristic
19C2×#926C2211yescharacteristic
20C2×D3×C4⋊C4C2211yescharacteristic
21C2×D3×C4⋊C4C2211yescharacteristic
22C2×D3×C22⋊C4—21no—
23C2×C3×C22⋊C8C2211yescharacteristic
24C3×#380C2211yescharacteristic
25#5212C2211yescharacteristic
26C2×#830C2211yescharacteristic
27C2×(C2×D3)⋊C8C2211yescharacteristic
28C2×(C2×D3)⋊C8C2211yescharacteristic
29C2×(C2×D3)⋊C8C2211yescharacteristic
30C2×(C2×D3)⋊C8C2211yescharacteristic
31C2×#818C2211yescharacteristic, complemented
32C2×#817C2211yescharacteristic, complemented
33#4987C2211yescharacteristic
34#4987C2211yescharacteristic
35#4987C2211yescharacteristic
36#4987C2211yescharacteristic
37#4987C2211yescharacteristic
38#4987C2211yescharacteristic
39C2×#808C2211yescharacteristic, complemented
40C2×#807C2211yescharacteristic, complemented
41#4955—21no—
42#4943—21no—
43#4942—21no—
44C4×(C2×D3)⋊C4—21no—
45C4×(C2×D3)⋊C4—21no—
46#4667—21no—
47D3×#95—21no—
48C3×#340C2211yescharacteristic, complemented
49C3×#340C2211yescharacteristic, complemented
50C3×#340C2211yescharacteristic, complemented
51C3×#340C2211yescharacteristic, complemented
52#4551C2211yescharacteristic, complemented
53#4551C2211yescharacteristic, complemented
54#4529C2211yescharacteristic, complemented
55#4529C2211yescharacteristic, complemented
56#4529C2211yescharacteristic, complemented
57#4529C2211yescharacteristic, complemented
58#4529C2211yescharacteristic, complemented
59#4529C2211yescharacteristic, complemented
60#2280—31no—
61C2×#380—31no—
62#2077—31no—
63#2077—31no—
64#2076—31no—
65#2076—31no—
66#1854—31no—
67#1854—31no—
68#1853—31no—
69#1852—31no—
70#1825—31no—
71#1825D311yescharacteristic, complemented
72#1823—31no—
73#1823—31no—
74#1779—31no—
75C24×D3D411yescharacteristic
76C23×C3×C4C2311yescharacteristic
77C23×Dic3D411yescharacteristic
78C22×C4×D3—22no—
79C22×C4×D3—22no—
80C22×C4×D3—22no—
81C22×C4×D3—22no—
82C22×C4×D3—21no—
83C22×C4×D3—21no—
84C22×C4×D3—41no—
85C22×C4×D3—41no—
86C22×C4×D3D411yescharacteristic
87C22×C4×D3D411yescharacteristic
88C22×C4×D3C2311yescharacteristic
89C22×C4×D3C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C22×C3×C8C2311yescharacteristic
92C3×#117—22no—
93C3×#117—22no—
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C4⋊C4C2311yescharacteristic
97C2×C3×C4⋊C4C2311yescharacteristic
98C2×C3×C22⋊C4—21no—
99C2×C3×C22⋊C4—21no—
100C2×C3×C42—21no—
101C2×#217—21no—
102C2×#217—21no—
103C2×(C2×D3)⋊C4—21no—
104C2×(C2×D3)⋊C4—21no—
105C2×(C2×D3)⋊C4—21no—
106C2×(C2×D3)⋊C4—21no—
107C2×(C2×D3)⋊C4—21no—
108C2×(C2×D3)⋊C4—21no—
109#926—41no—
110#926—41no—
111C2×C4⋊Dic3C2311yescharacteristic
112C2×C4⋊Dic3C2311yescharacteristic
113C2×C4⋊Dic3C2311yescharacteristic
114C2×C4⋊Dic3C2311yescharacteristic
115C2×Dic3⋊C4—21no—
116C2×Dic3⋊C4—21no—
117C2×C4×Dic3—21no—
118C22×C3⋊C8C2311yescharacteristic
119C22×C3⋊C8C2311yescharacteristic
120D3×C4⋊C4—22no—
121D3×C4⋊C4—22no—
122D3×C4⋊C4—41no—
123D3×C4⋊C4—41no—
124D3×C22⋊C4—44no—
125C3×C22⋊C8—22no—
126C3×#95—21no—
127C3⋊#95—21no—
128C3⋊#95—21no—
129C3⋊#95—21no—
130C3⋊#95—21no—
131C3⋊#95—21no—
132C3⋊#95—21no—
133C3⋊#95—21no—
134#830—22no—
135(C2×D3)⋊C8—22no—
136(C2×D3)⋊C8—22no—
137(C2×D3)⋊C8—41no—
138(C2×D3)⋊C8—41no—
139#818—41no—
140#817—41no—
141#808—41no—
142#807—41no—
143C24×C4—31no—
144C2×#117—31no—
145C2×#117C2×D311yescharacteristic
146C22×C4⋊C4—31no—
147C22×C4⋊C4—31no—
148C22×C22⋊C4—61no—
149C2×#107—31no—
150C2×#107—31no—
151C2×#106—31no—
152C2×#106—31no—
153C2×C22⋊C8—31no—
154C2×C22⋊C8—31no—
155C2×C22⋊C8—31no—
156C2×C22⋊C8—31no—
157C2×C22⋊C8—31no—
158C2×C22⋊C8C2×D311yescharacteristic
159#381—61no—
160#380—31no—
161#380—31no—
162#380—31no—
163#380—31no—
164#380—31no—
165#380—31no—
166#380—31no—
167#380—61no—
168#380—61no—
169#380C2×D311yescharacteristic
170#379—61no—
171C4×C22⋊C4—61no—
172C4×C22⋊C4—61no—
173C2×#95—61no—
174#340—31no—
175#340—31no—
176#340—31no—
177#340—31no—
178#340—31no—
179#340—31no—
180#340—31no—
181#340—31no—
182#340C2×D311yescharacteristic, complemented
183#340C2×D311yescharacteristic, complemented
184#340C2×D311yescharacteristic, complemented
185#340C2×D311yescharacteristic, complemented
186C24×C3C2×D411yescharacteristic
187C23×D3—22no—
188C23×D3—22no—
189C23×D3—22no—
190C23×D3—22no—
191C23×D3—22no—
192C23×D3—41no—
193C23×D3—41no—
194C23×D3C2×D411yescharacteristic
195C23×D3C2×D411yescharacteristic
196C22×C3×C4—21no—
197C22×C3×C4—21no—
198C22×C3×C4—21no—
199C22×C3×C4—21no—
200C22×C3×C4—21no—
201C22×C3×C4—21no—
202C22×C3×C4—21no—
203C22×C3×C4—21no—
204C22×C3×C4C2×D411yescharacteristic
205C22×C3×C4#4112yes—
206C22×C3×C4#4112yes—
207C22×C3×C4C2411yescharacteristic
208C22×Dic3—22no—
209C22×Dic3—22no—
210C22×Dic3—21no—
211C22×Dic3—21no—
212C22×Dic3—21no—
213C22×Dic3—21no—
214C22×Dic3—41no—
215C22×Dic3C2×D411yescharacteristic
216C22×Dic3C2×D411yescharacteristic
217C2×C4×D3—21no—
218C2×C4×D3—21no—
219C2×C4×D3—21no—
220C2×C4×D3—21no—
221C2×C4×D3—22no—
222C2×C4×D3—22no—
223C2×C4×D3—22no—
224C2×C4×D3—21no—
225C2×C4×D3—21no—
226C2×C4×D3—21no—
227C2×C4×D3—21no—
228C2×C4×D3—21no—
229C2×C4×D3—21no—
230C2×C4×D3—22no—
231C2×C4×D3—44no—
232C2×C4×D3—44no—
233C2×C4×D3—44no—
234C2×C4×D3—44no—
235C2×C4×D3—41no—
236C2×C4×D3—41no—
237C2×C4×D3—42no—
238C2×C4×D3—42no—
239C2×C4×D3—42no—
240C2×C4×D3—42no—
241C2×C4×D3—42no—
242C2×C4×D3—42no—
243C2×C4×D3#4112yes—
244C2×C4×D3#4112yes—
245C2×C3×C8—21no—
246C2×C3×C8—21no—
247C2×C3×C8—21no—
248C2×C3×C8—21no—
249C2×C3×C8—21no—
250C2×C3×C8—21no—
251C3×C4⋊C4—21no—
252C3×C4⋊C4—21no—
253C3×C4⋊C4—21no—
254C3×C4⋊C4—21no—
255C3×C4⋊C4—21no—
256C3×C4⋊C4—21no—
257C3×C4⋊C4—21no—
258C3×C4⋊C4—21no—
259C3×C22⋊C4—42no—
260C3×C22⋊C4—42no—
261C3×C42—42no—
262#217—42no—
263#217—42no—
264(C2×D3)⋊C4—42no—
265(C2×D3)⋊C4—42no—
266(C2×D3)⋊C4—42no—
267(C2×D3)⋊C4—42no—
268(C2×D3)⋊C4—42no—
269(C2×D3)⋊C4—42no—
270C4⋊Dic3—21no—
271C4⋊Dic3—21no—
272C4⋊Dic3—21no—
273C4⋊Dic3—21no—
274C4⋊Dic3—21no—
275C4⋊Dic3—21no—
276C4⋊Dic3—21no—
277C4⋊Dic3—21no—
278Dic3⋊C4—42no—
279Dic3⋊C4—42no—
280C4×Dic3—42no—
281C2×C3⋊C8—21no—
282C2×C3⋊C8—21no—
283C2×C3⋊C8—21no—
284C2×C3⋊C8—21no—
285C2×C3⋊C8—21no—
286C2×C3⋊C8—21no—
287C25—31no—
288C23×C4—31no—
289C23×C4—31no—
290C23×C4—31no—
291C23×C4—31no—
292C23×C4—31no—
293C23×C4—62no—
294C23×C4—62no—
295C23×C4—61no—
296C23×C4—61no—
297C23×C4—62no—
298C23×C4—62no—
299C23×C4—121no—
300C23×C4—121no—
301C23×C4C22×D311yescharacteristic
302C22×C8—31no—
303C22×C8—31no—
304C22×C8C22×D311yescharacteristic
305C22×C8C22×D311yescharacteristic
306#117—22no—
307#117—22no—
308#117—121no—
309#117—121no—
310C2×C4⋊C4—31no—
311C2×C4⋊C4—31no—
312C2×C4⋊C4—31no—
313C2×C4⋊C4—31no—
314C2×C4⋊C4—62no—
315C2×C4⋊C4—62no—
316C2×C4⋊C4—61no—
317C2×C4⋊C4—61no—
318C2×C4⋊C4—121no—
319C2×C4⋊C4—121no—
320C2×C4⋊C4C22×D311yescharacteristic
321C2×C4⋊C4C22×D311yescharacteristic
322C2×C4⋊C4C22×D311yescharacteristic
323C2×C4⋊C4C22×D311yescharacteristic
324C2×C22⋊C4—21no—
325C2×C22⋊C4—21no—
326C2×C22⋊C4—61no—
327C2×C22⋊C4—61no—
328C2×C22⋊C4—61no—
329C2×C22⋊C4—61no—
330C2×C22⋊C4—61no—
331C2×C22⋊C4—61no—
332C2×C22⋊C4—61no—
333C2×C22⋊C4—61no—
334C2×C22⋊C4—124no—
335C2×C42—21no—
336C2×C42—61no—
337#107—121no—
338#107—121no—
339#106—121no—
340#106—121no—
341C22⋊C8—22no—
342C22⋊C8—62no—
343C22⋊C8—62no—
344C22⋊C8—62no—
345C22⋊C8—121no—
346C22⋊C8—121no—
347#95—21no—
348#95—61no—
349#95—61no—
350#95—61no—
351#95—61no—
352#95—61no—
353#95—61no—
354#95—61no—
355C23×C3—21no—
356C23×C3—21no—
357C23×C3—21no—
358C23×C3—21no—
359C23×C3—21no—
360C23×C3—21no—
361C23×C3#12312yes—
362C23×C3C22×D411yescharacteristic
363C22×D3—21no—
364C22×D3—21no—
365C22×D3—21no—
366C22×D3—21no—
367C22×D3—28no—
368C22×D3—21no—
369C22×D3—21no—
370C22×D3—21no—
371C22×D3—21no—
372C22×D3—21no—
373C22×D3—21no—
374C22×D3—44no—
375C22×D3—44no—
376C22×D3—44no—
377C22×D3—44no—
378C22×D3—44no—
379C22×D3—44no—
380C22×D3#12312yes—
381C22×D3#13512yes—
382C22×D3AGL(1,ℤ/8)12yes—
383C22×D3#13712yes—
384C2×C3×C4—21no—
385C2×C3×C4—21no—
386C2×C3×C4—22no—
387C2×C3×C4—22no—
388C2×C3×C4—22no—
389C2×C3×C4—22no—
390C2×C3×C4—41no—
391C2×C3×C4—41no—
392C2×C3×C4—41no—
393C2×C3×C4—41no—
394C2×C3×C4—41no—
395C2×C3×C4—41no—
396C2×C3×C4—41no—
397C2×C3×C4—41no—
398C2×C3×C4—41no—
399C2×C3×C4—41no—
400C2×C3×C4—41no—
401C2×C3×C4—41no—
402C2×C3×C4#12312yes—
403C2×C3×C4C2×#4111yescharacteristic
404C2×C3×C4C2×#4111yescharacteristic
405C2×C3×C4C2×#4111yescharacteristic
406C2×C3×C4C2×#4111yescharacteristic
407C2×C3×C4H(5,𝔽2)11yescharacteristic
408C2×C3×C4H(5,𝔽2)11yescharacteristic
409C2×Dic3—21no—
410C2×Dic3—21no—
411C2×Dic3—21no—
412C2×Dic3—21no—
413C2×Dic3—21no—
414C2×Dic3—44no—
415C2×Dic3—41no—
416C2×Dic3—41no—
417C2×Dic3—41no—
418C2×Dic3—41no—
419C2×Dic3—41no—
420C2×Dic3—41no—
421C2×Dic3—41no—
422C2×Dic3—41no—
423C2×Dic3—41no—
424C2×Dic3—41no—
425C2×Dic3—41no—
426C2×Dic3—41no—
427C2×Dic3#12312yes—
428C4×D3—22no—
429C4×D3—22no—
430C4×D3—22no—
431C4×D3—22no—
432C4×D3—44no—
433C4×D3—44no—
434C4×D3—41no—
435C4×D3—41no—
436C4×D3—41no—
437C4×D3—41no—
438C4×D3—84no—
439C4×D3—84no—
440C3×C8—41no—
441C3×C8—41no—
442C3⋊C8—41no—
443C3⋊C8—41no—
444C24—31no—
445C24—31no—
446C24—62no—
447C24—62no—
448C24—62no—
449C24—62no—
450C24—62no—
451C24—121no—
452C24—121no—
453C24D3×D411yescharacteristic
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—31no—
463C22×C4—32no—
464C22×C4—32no—
465C22×C4—31no—
466C22×C4—62no—
467C22×C4—62no—
468C22×C4—62no—
469C22×C4—61no—
470C22×C4—61no—
471C22×C4—61no—
472C22×C4—61no—
473C22×C4—62no—
474C22×C4—62no—
475C22×C4—62no—
476C22×C4—61no—
477C22×C4—61no—
478C22×C4—61no—
479C22×C4—61no—
480C22×C4—61no—
481C22×C4—61no—
482C22×C4—61no—
483C22×C4—61no—
484C22×C4—61no—
485C22×C4—61no—
486C22×C4—121no—
487C22×C4—121no—
488C22×C4—124no—
489C22×C4—124no—
490C22×C4—124no—
491C22×C4—124no—
492C22×C4—122no—
493C22×C4—122no—
494C22×C4—122no—
495C22×C4—122no—
496C22×C4—122no—
497C22×C4—122no—
498C22×C4—121no—
499C22×C4#23512yes—
500C22×C4D3×D411yescharacteristic
501C22×C4#23712yes—
502C22×C4C23×D311yescharacteristic
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—61no—
510C2×C8—61no—
511C2×C8—61no—
512C2×C8—61no—
513C2×C8—61no—
514C2×C8—61no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—61no—
524C4⋊C4—61no—
525C4⋊C4—61no—
526C4⋊C4—61no—
527C4⋊C4—61no—
528C4⋊C4—61no—
529C4⋊C4—61no—
530C4⋊C4—61no—
531C4⋊C4—122no—
532C4⋊C4—122no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—122no—
536C22⋊C4—122no—
537C22⋊C4—122no—
538C22⋊C4—122no—
539C22⋊C4—122no—
540C22⋊C4—122no—
541C22⋊C4—122no—
542C22⋊C4—122no—
543C42—42no—
544C42—122no—
545C22×C3—22no—
546C22×C3—22no—
547C22×C3—22no—
548C22×C3—41no—
549C22×C3—41no—
550C22×C3—41no—
551C22×C3—41no—
552C22×C3C2×#12311yescharacteristic
553C22×C3C2×#12311yescharacteristic
554C22×C3#53411yescharacteristic
555C22×C3C2×#13511yescharacteristic
556C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
557C22×C3C2×#13711yescharacteristic
558C22×C3#57511yescharacteristic
559C2×D3—22no—
560C2×D3—22no—
561C2×D3—22no—
562C2×D3—22no—
563C2×D3—22no—
564C2×D3—22no—
565C2×D3—22no—
566C2×D3—22no—
567C2×D3—22no—
568C2×D3—416no—
569C2×D3—41no—
570C2×D3—41no—
571C2×D3—41no—
572C2×D3—41no—
573C2×D3#48214yes—
574C3×C4—22no—
575C3×C4—81no—
576C3×C4—81no—
577C3×C4—81no—
578C3×C4—81no—
579C3×C4#55111yescharacteristic
580C3×C4#55111yescharacteristic
581C3×C4#55111yescharacteristic
582C3×C4#55111yescharacteristic
583Dic3—22no—
584Dic3—41no—
585Dic3—81no—
586Dic3—81no—
587Dic3—81no—
588Dic3—81no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—32no—
596C23—32no—
597C23—32no—
598C23—32no—
599C23—68no—
600C23—61no—
601C23—61no—
602C23—61no—
603C23—61no—
604C23—61no—
605C23—61no—
606C23—61no—
607C23—61no—
608C23—61no—
609C23—61no—
610C23—124no—
611C23—124no—
612C23—124no—
613C23—124no—
614C23—124no—
615C23—124no—
616C23#88312yes—
617C23C2×D3×D411yescharacteristic
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—32no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—61no—
638C2×C4—61no—
639C2×C4—62no—
640C2×C4—62no—
641C2×C4—62no—
642C2×C4—62no—
643C2×C4—61no—
644C2×C4—61no—
645C2×C4—61no—
646C2×C4—124no—
647C2×C4—124no—
648C2×C4—124no—
649C2×C4—121no—
650C2×C4—121no—
651C2×C4—121no—
652C2×C4—121no—
653C2×C4—121no—
654C2×C4—121no—
655C2×C4—121no—
656C2×C4—121no—
657C2×C4—121no—
658C2×C4—121no—
659C2×C4—121no—
660C2×C4—121no—
661C2×C4—121no—
662C2×C4—121no—
663C2×C4—121no—
664C2×C4—121no—
665C2×C4—244no—
666C2×C4—244no—
667C2×C4#88312yes—
668C2×C4C2×#23511yescharacteristic
669C2×C4C2×#23711yescharacteristic
670C2×C4D3×#4111yescharacteristic
671C2×C4D3×#4111yescharacteristic
672C2×C4#100911yescharacteristic
673C2×C4#100911yescharacteristic
674C8—41no—
675C8—41no—
676C8—121no—
677C8—121no—
678C2×C3—42no—
679C2×C3#248311yescharacteristic
680C2×C3C2×#48211yescharacteristic
681C2×C3#309111yescharacteristic
682C2×C3#309211yescharacteristic
683C2×C3#309511yescharacteristic
684C2×C3#319011yescharacteristic
685C2×C3#319411yescharacteristic
686D3—24no—
687D3—42no—
688C22—22no—
689C22—22no—
690C22—22no—
691C22—34no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—62no—
697C22—62no—
698C22—62no—
699C22—62no—
700C22—62no—
701C22—62no—
702C22—62no—
703C22—62no—
704C22—62no—
705C22—1216no—
706C22—121no—
707C22—121no—
708C22—121no—
709C22—121no—
710C22C2×#88311yescharacteristic
711C22D3×#12311yescharacteristic
712C22#565311yescharacteristic
713C22D3×#13511yescharacteristic
714C22#576811yescharacteristic
715C22D3×AGL(1,ℤ/8)11yescharacteristic
716C22D3×#13711yescharacteristic
717C4—22no—
718C4—62no—
719C4—81no—
720C4—81no—
721C4—81no—
722C4—81no—
723C4—121no—
724C4—241no—
725C4—241no—
726C4—241no—
727C4—241no—
728C4#552711yescharacteristic
729C4#552711yescharacteristic
730C4#565811yescharacteristic
731C4#565811yescharacteristic
732C3#2760211yescharacteristic, complemented, Sylow
733C2—42no—
734C2—64no—
735C2—122no—
736C2#7413011yescharacteristic
737C2#7884211yescharacteristic
738C2#7889211yescharacteristic
739C2D3×#48211yescharacteristic
740C2#8137911yescharacteristic
741C2#8151711yescharacteristic
742C2#8152211yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1825C2
socleC23×C3C22×D4
prime radicalC24×D3D4
hypercenter#1825D3
hypocenterC3#27602
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1825

Complements

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

NH ≅ G/Ntype
3. C3×#1825C2semidirect
4. #71575C2semidirect
6. #69929C2semidirect
7. #69506C2semidirect
8. #68890C2semidirect
9. #68875C2semidirect
10. #68874C2semidirect
11. #68871C2semidirect
12. #68871C2semidirect
13. #68833C2semidirect
14. #68832C2semidirect
15. #68831C2semidirect
31. C2×#818C22semidirect
32. C2×#817C22semidirect
39. C2×#808C22semidirect
40. C2×#807C22semidirect
48. C3×#340C22semidirect
49. C3×#340C22semidirect
50. C3×#340C22semidirect
51. C3×#340C22semidirect
52. #4551C22semidirect
53. #4551C22semidirect
54. #4529C22semidirect
55. #4529C22semidirect
56. #4529C22semidirect
57. #4529C22semidirect
58. #4529C22semidirect
59. #4529C22semidirect
71. #1825D3semidirect
182. #340C2×D3semidirect
183. #340C2×D3semidirect
184. #340C2×D3semidirect
185. #340C2×D3semidirect
732. C3#27602semidirect

Maximal subgroups

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

subgroupindex
#822672
D3×#3802
C3×#18252
#715752
#699552
#699292
#695062
#688902
#688752
#688742
#688712
#688332
#688322
#688312
#276023