Finite Group Databasebeta

← #10876177

Subgroups — #10876177

Order 768.

1084 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D3×#390C211yesmaximal, characteristic
2#74147C211yesmaximal, characteristic, complemented
3C3×#2092C211yesmaximal, characteristic, complemented
4#70632C211yesmaximal, characteristic, complemented
5#70623C211yesmaximal, characteristic, complemented
6#70579C211yesmaximal, characteristic, complemented
7#70569C211yesmaximal, characteristic, complemented
8#70198C211yesmaximal, characteristic
9#70198C211yesmaximal, characteristic
10#70174C211yesmaximal, characteristic, complemented
11#70173C211yesmaximal, characteristic, complemented
12#69641C211yesmaximal, characteristic, complemented
13#69558C211yesmaximal, characteristic, complemented
14#68664C211yesmaximal, characteristic, complemented
15#68637C211yesmaximal, characteristic, complemented
16#27588—31nomaximal, Sylow
17C22×D3×D4C2211yescharacteristic
18C2×D3×C4⋊C4C2211yescharacteristic
19C2×D3×C22⋊C4—21no—
20C2×D3×C22⋊C4—21no—
21C2×C42×D3C2211yescharacteristic
22C2×C3×#107C2211yescharacteristic, complemented
23C2×C3×#106C2211yescharacteristic, complemented
24C2×C3×#102C2211yescharacteristic
25C2×C3×#102C2211yescharacteristic
26C3×#390C2211yescharacteristic
27C3×#382C2211yescharacteristic, complemented
28#5221C2211yescharacteristic
29C2×#832C2211yescharacteristic
30C2×#832C2211yescharacteristic
31C2×#821C2211yescharacteristic
32C2×#821C2211yescharacteristic
33C2×(C2×D3)⋊C8C2211yescharacteristic
34C2×(C2×D3)⋊C8C2211yescharacteristic
35#4988C2211yescharacteristic
36#4987C2211yescharacteristic
37#4987C2211yescharacteristic
38Dic3×C4⋊C4C2211yescharacteristic, complemented
39Dic3×C4⋊C4C2211yescharacteristic, complemented
40C2×#809C2211yescharacteristic
41C2×#809C2211yescharacteristic
42C2×#808C2211yescharacteristic, complemented
43C2×#807C2211yescharacteristic, complemented
44#4957—21no—
45#4957—21no—
46#4939C2211yescharacteristic
47#4936C2211yescharacteristic, complemented
48#4666—21no—
49#4664—21no—
50#4651—21no—
51#4648—21no—
52C3×#336C2211yescharacteristic, complemented
53#4551C2211yescharacteristic, complemented
54#4551C2211yescharacteristic, complemented
55#4550C2211yescharacteristic, complemented
56#4550C2211yescharacteristic, complemented
57#4529C2211yescharacteristic, complemented
58#4529C2211yescharacteristic, complemented
59#4524C2211yescharacteristic, complemented
60C2×#390—31no—
61#2283—31no—
62#2092—31no—
63#2092D311yescharacteristic, complemented
64#2073—31no—
65#2073—31no—
66#1926—31no—
67#1926—31no—
68#1925—31no—
69#1925—31no—
70#1853—31no—
71#1852—31no—
72#1817—31no—
73#1786—31no—
74#1786—31no—
75C24×D3—21no—
76C22×C3×D4C2311yescharacteristic
77C22×#67—21no—
78C2×D3×D4—22no—
79C2×D3×D4—22no—
80C2×D3×D4—22no—
81C2×D3×D4—22no—
82C2×D3×D4—41no—
83C2×D3×D4—41no—
84C22×D12C2311yescharacteristic
85C22×C4×D3—21no—
86C22×C4×D3D411yescharacteristic
87C22×C4×D3D411yescharacteristic
88C22×C4×D3C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C2×C3×C4⋊C4C2311yescharacteristic
92C2×C3×C4⋊C4C2311yescharacteristic
93C2×C3×C4⋊C4C2311yescharacteristic
94C2×C3×C22⋊C4—21no—
95C2×C3×C22⋊C4—21no—
96C2×C3×C42C2311yescharacteristic
97C2×#217—21no—
98C2×#217—21no—
99C2×(C2×D3)⋊C4—21no—
100C2×(C2×D3)⋊C4—21no—
101C2×(C2×D3)⋊C4—21no—
102C2×(C2×D3)⋊C4—21no—
103C2×(C2×D3)⋊C4—21no—
104C2×(C2×D3)⋊C4—21no—
105C2×C4⋊Dic3C2311yescharacteristic
106C2×C4⋊Dic3C2311yescharacteristic
107C2×C4⋊Dic3C2311yescharacteristic
108C2×Dic3⋊C4—21no—
109C2×C4×Dic3—21no—
110C2×C4×Dic3—21no—
111C2×C4×Dic3D411yescharacteristic
112C2×C4×Dic3D411yescharacteristic
113C2×C4×Dic3C2311yescharacteristic
114C22×C3⋊C8C2311yescharacteristic
115C22×C3⋊C8C2311yescharacteristic
116D3×C4⋊C4—41no—
117D3×C4⋊C4—41no—
118D3×C22⋊C4—44no—
119D3×C22⋊C4—44no—
120C42×D3—22no—
121C42×D3—22no—
122C3×#107—41no—
123C3×#106—41no—
124C3×#102—41no—
125C3×#102—41no—
126C3×#95—21no—
127C3×#95—21no—
128#832—22no—
129#832—22no—
130C3⋊#95—21no—
131C3⋊#95—21no—
132C3⋊#95—21no—
133C3⋊#95—21no—
134C3⋊#95—21no—
135C3⋊#95—21no—
136#821—22no—
137#821—22no—
138(C2×D3)⋊C8—22no—
139(C2×D3)⋊C8—22no—
140#809—41no—
141#809—41no—
142#808—41no—
143#807—41no—
144C23×D4—31no—
145C22×C4⋊C4—31no—
146C22×C22⋊C4—61no—
147C22×C22⋊C4—61no—
148C22×C42—31no—
149C2×#107—31no—
150C2×#107C2×D311yescharacteristic, complemented
151C2×#106—31no—
152C2×#106C2×D311yescharacteristic, complemented
153C2×#102—31no—
154C2×#102—31no—
155C2×#102—31no—
156C2×#102—31no—
157C2×#102—31no—
158C2×#102—31no—
159C2×#102C2×D311yescharacteristic
160C2×#102C2×D311yescharacteristic
161C2×C22⋊C8—31no—
162C2×C22⋊C8—31no—
163#390—31no—
164#390—31no—
165#390—31no—
166#390—61no—
167#390—61no—
168#390C2×D311yescharacteristic
169#383—61no—
170#382—31no—
171#382C2×D311yescharacteristic, complemented
172#381—61no—
173#380—31no—
174#380—31no—
175C4×C4⋊C4—31no—
176C4×C4⋊C4—31no—
177C4×C22⋊C4—61no—
178#376—61no—
179#340—31no—
180#340—31no—
181#340—31no—
182#340—31no—
183#336—31no—
184#336—31no—
185#336—31no—
186#336C2×D311yescharacteristic, complemented
187C24×C3—21no—
188C23×D3—24no—
189C23×D3—21no—
190C23×D3—42no—
191C23×D3—42no—
192C23×D3—42no—
193C23×D3—42no—
194C23×D3—42no—
195C23×D3—42no—
196C23×D3C2×D411yescharacteristic
197C2×C3×D4—21no—
198C2×C3×D4—21no—
199C2×C3×D4—21no—
200C2×C3×D4—21no—
201C2×C3×D4—21no—
202C2×C3×D4#4112yes—
203C22×C3×C4—21no—
204C22×C3×C4—21no—
205C22×C3×C4—21no—
206C22×C3×C4C2×D411yescharacteristic
207C22×C3×C4C2×D411yescharacteristic
208C22×C3×C4C2411yescharacteristic
209C2×#67—24no—
210C2×#67—42no—
211C2×#67—42no—
212C22×Dic3—21no—
213C22×Dic3—21no—
214C22×Dic3—21no—
215C22×Dic3C2×D411yescharacteristic
216C22×Dic3C2×D411yescharacteristic
217C22×Dic3C2×D411yescharacteristic
218D3×D4—44no—
219D3×D4—44no—
220D3×D4—44no—
221D3×D4—44no—
222C2×D12—21no—
223C2×D12—21no—
224C2×D12—21no—
225C2×D12—21no—
226C2×D12—21no—
227C2×D12#4112yes—
228C2×C4×D3—21no—
229C2×C4×D3—21no—
230C2×C4×D3—21no—
231C2×C4×D3—21no—
232C2×C4×D3—22no—
233C2×C4×D3—22no—
234C2×C4×D3—22no—
235C2×C4×D3—22no—
236C2×C4×D3—22no—
237C2×C4×D3—41no—
238C2×C4×D3—42no—
239C2×C4×D3—42no—
240C2×C4×D3—42no—
241C2×C4×D3#4112yes—
242C2×C4×D3#4112yes—
243C2×C3×C8—21no—
244C2×C3×C8—21no—
245C2×C3×C8—21no—
246C2×C3×C8—21no—
247C2×C3×C8—21no—
248C2×C3×C8—21no—
249C3×C4⋊C4—21no—
250C3×C4⋊C4—21no—
251C3×C4⋊C4—21no—
252C3×C4⋊C4—21no—
253C3×C4⋊C4—21no—
254C3×C4⋊C4—21no—
255C3×C22⋊C4—42no—
256C3×C22⋊C4—42no—
257C3×C42—21no—
258C3×C42—21no—
259#217—42no—
260#217—42no—
261(C2×D3)⋊C4—42no—
262(C2×D3)⋊C4—42no—
263(C2×D3)⋊C4—42no—
264(C2×D3)⋊C4—42no—
265(C2×D3)⋊C4—42no—
266(C2×D3)⋊C4—42no—
267C4⋊Dic3—21no—
268C4⋊Dic3—21no—
269C4⋊Dic3—21no—
270C4⋊Dic3—21no—
271C4⋊Dic3—21no—
272C4⋊Dic3—21no—
273Dic3⋊C4—42no—
274C4×Dic3—21no—
275C4×Dic3—21no—
276C4×Dic3—22no—
277C4×Dic3—22no—
278C4×Dic3—42no—
279C4×Dic3—42no—
280C2×C3⋊C8—21no—
281C2×C3⋊C8—21no—
282C2×C3⋊C8—21no—
283C2×C3⋊C8—21no—
284C2×C3⋊C8—21no—
285C2×C3⋊C8—21no—
286C25—61no—
287C22×D4—31no—
288C22×D4—62no—
289C22×D4—62no—
290C22×D4—61no—
291C22×D4—62no—
292C22×D4—62no—
293C22×D4—121no—
294C22×D4—121no—
295C22×D4C22×D311yescharacteristic
296C23×C4—31no—
297C23×C4—31no—
298C23×C4—31no—
299C23×C4—61no—
300C22×C8—31no—
301C22×C8—31no—
302C22×C8C22×D311yescharacteristic
303C22×C8C22×D311yescharacteristic
304C2×C4⋊C4—31no—
305C2×C4⋊C4—31no—
306C2×C4⋊C4—31no—
307C2×C4⋊C4—61no—
308C2×C4⋊C4—121no—
309C2×C4⋊C4—121no—
310C2×C4⋊C4C22×D311yescharacteristic
311C2×C4⋊C4C22×D311yescharacteristic
312C2×C4⋊C4C22×D311yescharacteristic
313C2×C22⋊C4—21no—
314C2×C22⋊C4—21no—
315C2×C22⋊C4—61no—
316C2×C22⋊C4—61no—
317C2×C22⋊C4—61no—
318C2×C22⋊C4—61no—
319C2×C22⋊C4—61no—
320C2×C22⋊C4—61no—
321C2×C22⋊C4—61no—
322C2×C22⋊C4—61no—
323C2×C22⋊C4—124no—
324C2×C22⋊C4—124no—
325C2×C42—31no—
326C2×C42—31no—
327C2×C42—31no—
328C2×C42—62no—
329C2×C42—62no—
330C2×C42—61no—
331C2×C42—61no—
332C2×C42C22×D311yescharacteristic
333#107—41no—
334#107—121no—
335#106—41no—
336#106—121no—
337#102—41no—
338#102—41no—
339#102—62no—
340#102—62no—
341#102—62no—
342#102—62no—
343#102—121no—
344#102—121no—
345C22⋊C8—62no—
346C22⋊C8—62no—
347#95—21no—
348#95—21no—
349#95—61no—
350#95—61no—
351#95—61no—
352#95—61no—
353#95—61no—
354#95—61no—
355C23×C3—22no—
356C23×C3—41no—
357C23×C3—41no—
358C23×C3—41no—
359C23×C3—41no—
360C23×C3—41no—
361C23×C3—41no—
362C23×C3C22×D411yescharacteristic
363C22×D3—21no—
364C22×D3—21no—
365C22×D3—21no—
366C22×D3—21no—
367C22×D3—22no—
368C22×D3—48no—
369C22×D3—48no—
370C22×D3—48no—
371C22×D3—41no—
372C22×D3—41no—
373C22×D3—41no—
374C22×D3—41no—
375C22×D3—41no—
376C22×D3—41no—
377C22×D3—84no—
378C22×D3—84no—
379C22×D3—84no—
380C22×D3—84no—
381C22×D3#12312yes—
382C22×D3#13512yes—
383C22×D3AGL(1,ℤ/8)12yes—
384C3×D4—22no—
385C3×D4—22no—
386C3×D4—41no—
387C3×D4—41no—
388C2×C3×C4—21no—
389C2×C3×C4—21no—
390C2×C3×C4—21no—
391C2×C3×C4—21no—
392C2×C3×C4—21no—
393C2×C3×C4—21no—
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—41no—
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
409#67—48no—
410C2×Dic3—21no—
411C2×Dic3—21no—
412C2×Dic3—21no—
413C2×Dic3—21no—
414C2×Dic3—21no—
415C2×Dic3—21no—
416C2×Dic3—21no—
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#12312yes—
427C2×Dic3AGL(1,ℤ/8)12yes—
428D12—22no—
429D12—22no—
430D12—41no—
431D12—41no—
432C4×D3—22no—
433C4×D3—22no—
434C4×D3—22no—
435C4×D3—22no—
436C4×D3—44no—
437C4×D3—44no—
438C4×D3—84no—
439C3×C8—41no—
440C3×C8—41no—
441C3⋊C8—41no—
442C3⋊C8—41no—
443C24—21no—
444C24—31no—
445C24—64no—
446C24—61no—
447C24—122no—
448C24—122no—
449C24—122no—
450C24—122no—
451C24—122no—
452C24—122no—
453C2×D4—21no—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4—32no—
459C2×D4—64no—
460C2×D4—61no—
461C2×D4—61no—
462C2×D4—61no—
463C2×D4—61no—
464C2×D4—61no—
465C2×D4—122no—
466C2×D4—124no—
467C2×D4—124no—
468C2×D4—124no—
469C2×D4—124no—
470C2×D4—122no—
471C2×D4#23912yes—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—31no—
476C22×C4—31no—
477C22×C4—32no—
478C22×C4—32no—
479C22×C4—31no—
480C22×C4—62no—
481C22×C4—62no—
482C22×C4—62no—
483C22×C4—62no—
484C22×C4—62no—
485C22×C4—61no—
486C22×C4—61no—
487C22×C4—61no—
488C22×C4—61no—
489C22×C4—61no—
490C22×C4—61no—
491C22×C4—61no—
492C22×C4—121no—
493C22×C4—122no—
494C22×C4—122no—
495C22×C4—122no—
496C22×C4D3×D411yescharacteristic
497C22×C4D3×D411yescharacteristic
498C22×C4C23×D311yescharacteristic
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—61no—
506C2×C8—61no—
507C2×C8—61no—
508C2×C8—61no—
509C2×C8—61no—
510C2×C8—61no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—61no—
518C4⋊C4—61no—
519C4⋊C4—61no—
520C4⋊C4—61no—
521C4⋊C4—61no—
522C4⋊C4—61no—
523C4⋊C4—122no—
524C22⋊C4—42no—
525C22⋊C4—42no—
526C22⋊C4—122no—
527C22⋊C4—122no—
528C22⋊C4—122no—
529C22⋊C4—122no—
530C22⋊C4—122no—
531C22⋊C4—122no—
532C22⋊C4—122no—
533C22⋊C4—122no—
534C42—21no—
535C42—21no—
536C42—62no—
537C42—62no—
538C42—61no—
539C42—61no—
540C42—122no—
541C42—122no—
542C22×C3—42no—
543C22×C3—42no—
544C22×C3—42no—
545C22×C3—81no—
546C22×C3—81no—
547C22×C3—81no—
548C22×C3—81no—
549C22×C3C2×#12311yescharacteristic
550C22×C3#52511yescharacteristic
551C22×C3#53511yescharacteristic
552C22×C3C2×#13511yescharacteristic
553C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
554C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
555C22×C3#57511yescharacteristic
556C2×D3—22no—
557C2×D3—22no—
558C2×D3—22no—
559C2×D3—22no—
560C2×D3—22no—
561C2×D3—22no—
562C2×D3—42no—
563C2×D3—42no—
564C2×D3—42no—
565C2×D3—816no—
566C2×D3—81no—
567C2×D3—81no—
568C2×D3—81no—
569C2×D3—81no—
570C2×D3#48214yes—
571C3×C4—41no—
572C3×C4—41no—
573C3×C4—81no—
574C3×C4—81no—
575C3×C4—81no—
576C3×C4#55111yescharacteristic
577C3×C4#55111yescharacteristic
578C3×C4#55111yescharacteristic
579C3×C4#55111yescharacteristic
580Dic3—22no—
581Dic3—22no—
582Dic3—41no—
583Dic3—81no—
584Dic3—81no—
585Dic3—81no—
586C23—22no—
587C23—32no—
588C23—32no—
589C23—32no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—61no—
597C23—61no—
598C23—61no—
599C23—61no—
600C23—62no—
601C23—128no—
602C23—128no—
603C23—128no—
604C23—121no—
605C23—121no—
606C23—121no—
607C23—121no—
608C23—121no—
609C23—121no—
610C23—244no—
611C23—244no—
612C23—244no—
613C23—244no—
614C23C2×D3×D411yescharacteristic
615D4—22no—
616D4—22no—
617D4—41no—
618D4—41no—
619D4—62no—
620D4—62no—
621D4—128no—
622D4—121no—
623D4—121no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—32no—
631C2×C4—32no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—61no—
642C2×C4—61no—
643C2×C4—61no—
644C2×C4—61no—
645C2×C4—62no—
646C2×C4—62no—
647C2×C4—62no—
648C2×C4—62no—
649C2×C4—61no—
650C2×C4—61no—
651C2×C4—61no—
652C2×C4—124no—
653C2×C4—124no—
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—244no—
664C2×C4#100411yescharacteristic
665C2×C4#100411yescharacteristic
666C2×C4C2×#23911yescharacteristic
667C2×C4D3×#4111yescharacteristic
668C2×C4D3×#4111yescharacteristic
669C2×C4D3×#4111yescharacteristic
670C8—41no—
671C8—41no—
672C8—121no—
673C8—121no—
674C2×C3—82no—
675C2×C3#248211yescharacteristic
676C2×C3C2×#48211yescharacteristic
677C2×C3#309411yescharacteristic
678C2×C3#310511yescharacteristic
679C2×C3#311411yescharacteristic
680C2×C3#321111yescharacteristic
681C2×C3#321711yescharacteristic
682D3—24no—
683D3—82no—
684C22—34no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—62no—
689C22—62no—
690C22—62no—
691C22—62no—
692C22—62no—
693C22—62no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22—81no—
698C22—122no—
699C22—122no—
700C22—122no—
701C22—2416no—
702C22—241no—
703C22—241no—
704C22—241no—
705C22—241no—
706C22#562711yescharacteristic
707C22D3×#12311yescharacteristic
708C22#571511yescharacteristic
709C22D3×#13511yescharacteristic
710C22#576811yescharacteristic
711C22D3×AGL(1,ℤ/8)11yescharacteristic
712C22D3×AGL(1,ℤ/8)11yescharacteristic
713C4—41no—
714C4—41no—
715C4—62no—
716C4—62no—
717C4—81no—
718C4—81no—
719C4—81no—
720C4—121no—
721C4—241no—
722C4—241no—
723C4—241no—
724C4#563711yescharacteristic
725C4#563711yescharacteristic
726C4#565911yescharacteristic
727C4#565911yescharacteristic
728C3#2758811yescharacteristic, complemented, Sylow
729C2—64no—
730C2—82no—
731C2—242no—
732C2#7810511yescharacteristic
733C2#8114111yescharacteristic
734C2#8114311yescharacteristic
735C2D3×#48211yescharacteristic
736C2#8137311yescharacteristic
737C2#8182511yescharacteristic
738C2#8185111yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2092C2
socleC23×C3C22×D4
prime radicalC22×D3×D4C22
hypercenter#2092D3
hypocenterC3#27588
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2092

Complements

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

NH ≅ G/Ntype
2. #74147C2semidirect
3. C3×#2092C2semidirect
4. #70632C2semidirect
5. #70623C2semidirect
6. #70579C2semidirect
7. #70569C2semidirect
10. #70174C2semidirect
11. #70173C2semidirect
12. #69641C2semidirect
13. #69558C2semidirect
14. #68664C2semidirect
15. #68637C2semidirect
22. C2×C3×#107C22semidirect
23. C2×C3×#106C22semidirect
27. C3×#382C22semidirect
38. Dic3×C4⋊C4C22semidirect
39. Dic3×C4⋊C4C22semidirect
42. C2×#808C22semidirect
43. C2×#807C22semidirect
47. #4936C22semidirect
52. C3×#336C22semidirect
53. #4551C22semidirect
54. #4551C22semidirect
55. #4550C22semidirect
56. #4550C22semidirect
57. #4529C22semidirect
58. #4529C22semidirect
59. #4524C22semidirect
63. #2092D3semidirect
150. C2×#107C2×D3semidirect
152. C2×#106C2×D3semidirect
171. #382C2×D3semidirect
186. #336C2×D3semidirect
728. C3#27588semidirect

Maximal subgroups

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

subgroupindex
D3×#3902
#741472
C3×#20922
#706322
#706232
#705792
#705692
#701982
#701742
#701732
#696412
#695582
#686642
#686372
#275883