Finite Group Databasebeta

← #10876174

Subgroups — #10876174

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#73752C211yesmaximal, characteristic, complemented
3C3×#1925C211yesmaximal, characteristic, complemented
4#70640C211yesmaximal, characteristic, complemented
5#70632C211yesmaximal, characteristic, complemented
6#70198C211yesmaximal, characteristic
7#70198C211yesmaximal, characteristic
8#70182C211yesmaximal, characteristic, complemented
9#70166C211yesmaximal, characteristic, complemented
10#69637C211yesmaximal, characteristic, complemented
11#69462C211yesmaximal, characteristic, complemented
12#68903C211yesmaximal, characteristic, complemented
13#68875C211yesmaximal, characteristic, complemented
14#68664C211yesmaximal, characteristic, complemented
15#68626C211yesmaximal, 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×#102C2211yescharacteristic
24C2×C3×#102C2211yescharacteristic
25C3×#390C2211yescharacteristic
26C3×C4×C4⋊C4C2211yescharacteristic, complemented
27#5221C2211yescharacteristic
28C2×#832C2211yescharacteristic
29C2×#832C2211yescharacteristic
30C2×#821C2211yescharacteristic
31C2×#821C2211yescharacteristic
32C2×(C2×D3)⋊C8C2211yescharacteristic
33C2×(C2×D3)⋊C8C2211yescharacteristic
34C2×#817C2211yescharacteristic, complemented
35#4988C2211yescharacteristic
36#4987C2211yescharacteristic
37#4987C2211yescharacteristic
38#4977C2211yescharacteristic, complemented
39#4977C2211yescharacteristic, complemented
40C2×#809C2211yescharacteristic
41C2×#809C2211yescharacteristic
42C2×#808C2211yescharacteristic, complemented
43C2×#807C2211yescharacteristic, complemented
44#4957—21no—
45#4957—21no—
46#4939C2211yescharacteristic
47C4×(C2×D3)⋊C4—21no—
48C4×C4⋊Dic3C2211yescharacteristic, complemented
49#4932—21no—
50#4664—21no—
51#4651—21no—
52C3×#340C2211yescharacteristic, complemented
53C3×#336C2211yescharacteristic, 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#2092—31no—
64#2073—31no—
65#2073—31no—
66#1926—31no—
67#1926—31no—
68#1925—31no—
69#1925D311yescharacteristic, complemented
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×C42—21no—
97C2×C3×C42C2311yescharacteristic
98C2×#217—21no—
99C2×#217—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×(C2×D3)⋊C4—21no—
106C2×C4⋊Dic3C2311yescharacteristic
107C2×C4⋊Dic3C2311yescharacteristic
108C2×C4⋊Dic3C2311yescharacteristic
109C2×Dic3⋊C4—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×#102—22no—
124C3×#102—41no—
125C3×#95—21no—
126#832—22no—
127#832—41no—
128C3⋊#95—21no—
129C3⋊#95—21no—
130C3⋊#95—21no—
131C3⋊#95—21no—
132C3⋊#95—21no—
133C3⋊#95—21no—
134C3⋊#95—21no—
135#821—22no—
136#821—41no—
137(C2×D3)⋊C8—22no—
138(C2×D3)⋊C8—22no—
139#817—41no—
140#809—22no—
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×#106—31no—
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#382—31no—
172#381—61no—
173#380—31no—
174#380—31no—
175C4×C4⋊C4—31no—
176C4×C4⋊C4C2×D311yescharacteristic, complemented
177C4×C22⋊C4—61no—
178#376—61no—
179#340—31no—
180#340—31no—
181#340—31no—
182#340C2×D311yescharacteristic, complemented
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—
259C3×C42—42no—
260#217—42no—
261#217—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—
267(C2×D3)⋊C4—42no—
268C4⋊Dic3—21no—
269C4⋊Dic3—21no—
270C4⋊Dic3—21no—
271C4⋊Dic3—21no—
272C4⋊Dic3—21no—
273C4⋊Dic3—21no—
274Dic3⋊C4—42no—
275C4×Dic3—21no—
276C4×Dic3—21no—
277C4×Dic3—22no—
278C4×Dic3—22no—
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—21no—
326C2×C42—31no—
327C2×C42—31no—
328C2×C42—31no—
329C2×C42—62no—
330C2×C42—62no—
331C2×C42—61no—
332C2×C42C22×D311yescharacteristic
333#107—41no—
334#107—121no—
335#106—121no—
336#106—121no—
337#102—22no—
338#102—41no—
339#102—62no—
340#102—62no—
341#102—62no—
342#102—121no—
343#102—121no—
344#102—121no—
345C22⋊C8—62no—
346C22⋊C8—62no—
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—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—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×C4AGL(1,ℤ/8)12yes—
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—21no—
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—
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#23512yes—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—31no—
476C22×C4—32no—
477C22×C4—32no—
478C22×C4—31no—
479C22×C4—31no—
480C22×C4—62no—
481C22×C4—62no—
482C22×C4—62no—
483C22×C4—62no—
484C22×C4—61no—
485C22×C4—61no—
486C22×C4—61no—
487C22×C4—61no—
488C22×C4—62no—
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—42no—
537C42—62no—
538C42—62no—
539C42—61no—
540C42—61no—
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—22no—
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—41no—
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—32no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—61no—
640C2×C4—61no—
641C2×C4—62no—
642C2×C4—62no—
643C2×C4—62no—
644C2×C4—62no—
645C2×C4—61no—
646C2×C4—61no—
647C2×C4—61no—
648C2×C4—61no—
649C2×C4—61no—
650C2×C4—61no—
651C2×C4—124no—
652C2×C4—124no—
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—244no—
663C2×C4#91112yes—
664C2×C4C2×#23511yescharacteristic
665C2×C4#100411yescharacteristic
666C2×C4D3×#4111yescharacteristic
667C2×C4D3×#4111yescharacteristic
668C2×C4D3×#4111yescharacteristic
669C2×C4#100911yescharacteristic
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#554711yescharacteristic
707C22#560711yescharacteristic
708C22D3×#12311yescharacteristic
709C22C2×#91111yescharacteristic
710C22D3×#13511yescharacteristic
711C22D3×AGL(1,ℤ/8)11yescharacteristic
712C22#577711yescharacteristic
713C4—22no—
714C4—41no—
715C4—62no—
716C4—81no—
717C4—81no—
718C4—81no—
719C4—121no—
720C4—121no—
721C4—241no—
722C4—241no—
723C4—241no—
724C4#552711yescharacteristic
725C4#555611yescharacteristic
726C4#567911yescharacteristic
727C4#570511yescharacteristic
728C3#2758811yescharacteristic, complemented, Sylow
729C2—64no—
730C2—82no—
731C2—242no—
732C2#7586611yescharacteristic
733C2#7959211yescharacteristic
734C2#7978211yescharacteristic
735C2#8033911yescharacteristic
736C2#8060511yescharacteristic
737C2#8128311yescharacteristic
738C2D3×#48211yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1925C2
socleC23×C3C22×D4
prime radicalC22×D3×D4C22
hypercenter#1925D3
hypocenterC3#27588
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1925

Complements

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

NH ≅ G/Ntype
2. #73752C2semidirect
3. C3×#1925C2semidirect
4. #70640C2semidirect
5. #70632C2semidirect
8. #70182C2semidirect
9. #70166C2semidirect
10. #69637C2semidirect
11. #69462C2semidirect
12. #68903C2semidirect
13. #68875C2semidirect
14. #68664C2semidirect
15. #68626C2semidirect
22. C2×C3×#107C22semidirect
26. C3×C4×C4⋊C4C22semidirect
34. C2×#817C22semidirect
38. #4977C22semidirect
39. #4977C22semidirect
42. C2×#808C22semidirect
43. C2×#807C22semidirect
48. C4×C4⋊Dic3C22semidirect
52. C3×#340C22semidirect
53. C3×#336C22semidirect
54. #4551C22semidirect
55. #4550C22semidirect
56. #4550C22semidirect
57. #4529C22semidirect
58. #4529C22semidirect
59. #4524C22semidirect
69. #1925D3semidirect
150. C2×#107C2×D3semidirect
176. C4×C4⋊C4C2×D3semidirect
182. #340C2×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
#737522
C3×#19252
#706402
#706322
#701982
#701822
#701662
#696372
#694622
#689032
#688752
#686642
#686262
#275883