Finite Group Databasebeta

← #10876147

Subgroups — #10876147

Order 768.

1128 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D3×#390C211yesmaximal, characteristic
2#73753C211yesmaximal, characteristic, complemented
3C3×#1926C211yesmaximal, characteristic, complemented
4#70587C211yesmaximal, characteristic, complemented
5#70579C211yesmaximal, characteristic, complemented
6#70198C211yesmaximal, characteristic
7#70198C211yesmaximal, characteristic
8#70184C211yesmaximal, characteristic, complemented
9#70165C211yesmaximal, characteristic, complemented
10#69637C211yesmaximal, characteristic, complemented
11#69463C211yesmaximal, characteristic, complemented
12#68902C211yesmaximal, characteristic, complemented
13#68875C211yesmaximal, characteristic, complemented
14#68664C211yesmaximal, characteristic, complemented
15#68626C211yesmaximal, characteristic, complemented
16#27585—31nomaximal, Sylow
17C22×D3×D4C2211yescharacteristic
18C2×D3×C4⋊C4C2211yescharacteristic
19C2×D3×C22⋊C4—21no—
20C2×D3×C22⋊C4—21no—
21C2×#872—21no—
22C2×C42×D3C2211yescharacteristic
23C2×C3×#106C2211yescharacteristic, complemented
24C2×C3×#102C2211yescharacteristic
25C2×C3×#102C2211yescharacteristic
26C3×#390C2211yescharacteristic
27C3×C4×C4⋊C4C2211yescharacteristic, complemented
28#5221C2211yescharacteristic
29C2×#832C2211yescharacteristic
30C2×#832C2211yescharacteristic
31C2×#821C2211yescharacteristic
32C2×#821C2211yescharacteristic
33C2×(C2×D3)⋊C8C2211yescharacteristic
34C2×(C2×D3)⋊C8C2211yescharacteristic
35C2×#817C2211yescharacteristic, complemented
36#4988C2211yescharacteristic
37#4987C2211yescharacteristic
38#4987C2211yescharacteristic
39#4975C2211yescharacteristic, complemented
40#4975C2211yescharacteristic, complemented
41C2×#809C2211yescharacteristic
42C2×#809C2211yescharacteristic
43C2×#808C2211yescharacteristic, complemented
44C2×#808C2211yescharacteristic, complemented
45#4957—21no—
46#4957—21no—
47#4939C2211yescharacteristic
48C4×C4⋊Dic3C2211yescharacteristic, complemented
49C4×Dic3⋊C4—21no—
50#4667—21no—
51#4650—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#2285—31no—
62#2094—31no—
63#2094—31no—
64#2071—31no—
65#2071—31no—
66#1926—31no—
67#1926—31no—
68#1926—31no—
69#1926D311yescharacteristic, complemented
70#1853—31no—
71#1853—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×Dic3⋊C4—21no—
111C2×Dic3⋊C4—21no—
112C2×Dic3⋊C4—21no—
113C2×Dic3⋊C4—21no—
114C2×C4×Dic3—21no—
115C2×C4×Dic3D411yescharacteristic
116C2×C4×Dic3D411yescharacteristic
117C2×C4×Dic3C2311yescharacteristic
118C22×C3⋊C8C2311yescharacteristic
119C22×C3⋊C8C2311yescharacteristic
120D3×C4⋊C4—41no—
121D3×C4⋊C4—41no—
122D3×C22⋊C4—44no—
123D3×C22⋊C4—44no—
124#872—44no—
125C42×D3—22no—
126C42×D3—22no—
127C3×#106—41no—
128C3×#102—22no—
129C3×#102—41no—
130C3×#95—21no—
131#832—22no—
132#832—41no—
133C3⋊#95—21no—
134C3⋊#95—21no—
135C3⋊#95—21no—
136#821—22no—
137#821—41no—
138(C2×D3)⋊C8—22no—
139(C2×D3)⋊C8—22no—
140#817—41no—
141#809—22no—
142#809—41no—
143#808—41no—
144#808—41no—
145C23×D4—31no—
146C2×#117—61no—
147C22×C4⋊C4—31no—
148C22×C22⋊C4—61no—
149C22×C22⋊C4—61no—
150C22×C42—31no—
151C2×#106—31no—
152C2×#106—31no—
153C2×#106—31no—
154C2×#106C2×D311yescharacteristic, complemented
155C2×#102—31no—
156C2×#102—31no—
157C2×#102—31no—
158C2×#102—31no—
159C2×#102—31no—
160C2×#102—31no—
161C2×#102C2×D311yescharacteristic
162C2×#102C2×D311yescharacteristic
163C2×C22⋊C8—31no—
164C2×C22⋊C8—31no—
165#390—31no—
166#390—31no—
167#390—31no—
168#390—61no—
169#390—61no—
170#390C2×D311yescharacteristic
171#384—31no—
172#384—31no—
173#382—61no—
174#380—31no—
175#380—31no—
176#380—61no—
177C4×C4⋊C4—31no—
178C4×C4⋊C4—61no—
179C4×C4⋊C4C2×D311yescharacteristic, complemented
180#340—31no—
181#340—31no—
182#340—31no—
183#340C2×D311yescharacteristic, complemented
184#336—31no—
185#336—31no—
186#336—31no—
187#336C2×D311yescharacteristic, complemented
188C24×C3—21no—
189C23×D3—24no—
190C23×D3—21no—
191C23×D3—42no—
192C23×D3—42no—
193C23×D3—42no—
194C23×D3—42no—
195C23×D3—42no—
196C23×D3—42no—
197C23×D3C2×D411yescharacteristic
198C2×C3×D4—21no—
199C2×C3×D4—21no—
200C2×C3×D4—21no—
201C2×C3×D4—21no—
202C2×C3×D4—21no—
203C2×C3×D4#4112yes—
204C22×C3×C4—21no—
205C22×C3×C4—21no—
206C22×C3×C4—21no—
207C22×C3×C4C2×D411yescharacteristic
208C22×C3×C4C2×D411yescharacteristic
209C22×C3×C4C2411yescharacteristic
210C2×#67—24no—
211C2×#67—42no—
212C2×#67—42no—
213C22×Dic3—21no—
214C22×Dic3—21no—
215C22×Dic3—21no—
216C22×Dic3C2×D411yescharacteristic
217C22×Dic3C2×D411yescharacteristic
218C22×Dic3C2×D411yescharacteristic
219D3×D4—44no—
220D3×D4—44no—
221D3×D4—44no—
222D3×D4—44no—
223C2×D12—21no—
224C2×D12—21no—
225C2×D12—21no—
226C2×D12—21no—
227C2×D12—21no—
228C2×D12#4112yes—
229C2×C4×D3—22no—
230C2×C4×D3—22no—
231C2×C4×D3—21no—
232C2×C4×D3—21no—
233C2×C4×D3—21no—
234C2×C4×D3—21no—
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×D3SD1614yes—
242C2×C4×D3#4112yes—
243C2×C4×D3#4112yes—
244C2×C3×C8—21no—
245C2×C3×C8—21no—
246C2×C3×C8—21no—
247C2×C3×C8—21no—
248C2×C3×C8—21no—
249C2×C3×C8—21no—
250C3×C4⋊C4—21no—
251C3×C4⋊C4—21no—
252C3×C4⋊C4—21no—
253C3×C4⋊C4—21no—
254C3×C4⋊C4—21no—
255C3×C4⋊C4—21no—
256C3×C22⋊C4—42no—
257C3×C22⋊C4—42no—
258C3×C42—21no—
259C3×C42—21no—
260C3×C42—42no—
261#217—42no—
262#217—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—
268(C2×D3)⋊C4—42no—
269C4⋊Dic3—21no—
270C4⋊Dic3—21no—
271C4⋊Dic3—21no—
272C4⋊Dic3—21no—
273C4⋊Dic3—21no—
274C4⋊Dic3—21no—
275Dic3⋊C4—42no—
276Dic3⋊C4—42no—
277Dic3⋊C4—42no—
278Dic3⋊C4—42no—
279Dic3⋊C4—42no—
280C4×Dic3—21no—
281C4×Dic3—21no—
282C4×Dic3—22no—
283C4×Dic3—22no—
284C4×Dic3—42no—
285C2×C3⋊C8—21no—
286C2×C3⋊C8—21no—
287C2×C3⋊C8—21no—
288C2×C3⋊C8—21no—
289C2×C3⋊C8—21no—
290C2×C3⋊C8—21no—
291C25—61no—
292C22×D4—31no—
293C22×D4—62no—
294C22×D4—62no—
295C22×D4—61no—
296C22×D4—62no—
297C22×D4—62no—
298C22×D4—121no—
299C22×D4—121no—
300C22×D4C22×D311yescharacteristic
301C23×C4—31no—
302C23×C4—31no—
303C23×C4—31no—
304C23×C4—61no—
305C22×C8—31no—
306C22×C8—31no—
307C22×C8C22×D311yescharacteristic
308C22×C8C22×D311yescharacteristic
309#117—124no—
310C2×C4⋊C4—31no—
311C2×C4⋊C4—31no—
312C2×C4⋊C4—31no—
313C2×C4⋊C4—61no—
314C2×C4⋊C4—61no—
315C2×C4⋊C4—61no—
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×C22⋊C4—21no—
324C2×C22⋊C4—21no—
325C2×C22⋊C4—61no—
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—124no—
334C2×C22⋊C4—124no—
335C2×C42—21no—
336C2×C42—31no—
337C2×C42—31no—
338C2×C42—31no—
339C2×C42—62no—
340C2×C42—62no—
341C2×C42—61no—
342C2×C42C22×D311yescharacteristic
343#106—41no—
344#106—121no—
345#106—121no—
346#106—121no—
347#102—22no—
348#102—41no—
349#102—62no—
350#102—62no—
351#102—62no—
352#102—121no—
353#102—121no—
354#102—121no—
355C22⋊C8—62no—
356C22⋊C8—62no—
357#95—21no—
358#95—61no—
359#95—61no—
360#95—61no—
361C23×C3—22no—
362C23×C3—41no—
363C23×C3—41no—
364C23×C3—41no—
365C23×C3—41no—
366C23×C3—41no—
367C23×C3—41no—
368C23×C3C22×D411yescharacteristic
369C22×D3—21no—
370C22×D3—21no—
371C22×D3—21no—
372C22×D3—21no—
373C22×D3—22no—
374C22×D3—48no—
375C22×D3—48no—
376C22×D3—48no—
377C22×D3—41no—
378C22×D3—41no—
379C22×D3—41no—
380C22×D3—41no—
381C22×D3—41no—
382C22×D3—41no—
383C22×D3—84no—
384C22×D3—84no—
385C22×D3—84no—
386C22×D3—84no—
387C22×D3#12312yes—
388C22×D3C2×SD1612yes—
389C22×D3AGL(1,ℤ/8)12yes—
390C3×D4—22no—
391C3×D4—22no—
392C3×D4—41no—
393C3×D4—41no—
394C2×C3×C4—21no—
395C2×C3×C4—21no—
396C2×C3×C4—21no—
397C2×C3×C4—21no—
398C2×C3×C4—21no—
399C2×C3×C4—41no—
400C2×C3×C4—41no—
401C2×C3×C4—41no—
402C2×C3×C4—41no—
403C2×C3×C4—41no—
404C2×C3×C4—41no—
405C2×C3×C4—41no—
406C2×C3×C4—41no—
407C2×C3×C4—41no—
408C2×C3×C4C2×SD1612yes—
409C2×C3×C4C2×#4111yescharacteristic
410C2×C3×C4C2×#4111yescharacteristic
411C2×C3×C4C2×#4111yescharacteristic
412C2×C3×C4C2×#4111yescharacteristic
413C2×C3×C4H(5,𝔽2)11yescharacteristic
414C2×C3×C4H(5,𝔽2)11yescharacteristic
415#67—48no—
416C2×Dic3—21no—
417C2×Dic3—21no—
418C2×Dic3—21no—
419C2×Dic3—21no—
420C2×Dic3—21no—
421C2×Dic3—21no—
422C2×Dic3—41no—
423C2×Dic3—41no—
424C2×Dic3—41no—
425C2×Dic3—41no—
426C2×Dic3—41no—
427C2×Dic3—41no—
428C2×Dic3—41no—
429C2×Dic3—41no—
430C2×Dic3—41no—
431C2×Dic3#12312yes—
432C2×Dic3C2×SD1612yes—
433C2×Dic3AGL(1,ℤ/8)12yes—
434D12—22no—
435D12—22no—
436D12—41no—
437D12—41no—
438C4×D3—28no—
439C4×D3—22no—
440C4×D3—22no—
441C4×D3—22no—
442C4×D3—22no—
443C4×D3—44no—
444C4×D3—84no—
445C3×C8—41no—
446C3×C8—41no—
447C3⋊C8—41no—
448C3⋊C8—41no—
449C24—21no—
450C24—31no—
451C24—64no—
452C24—61no—
453C24—122no—
454C24—122no—
455C24—122no—
456C24—122no—
457C24—122no—
458C24—122no—
459C2×D4—21no—
460C2×D4—21no—
461C2×D4—21no—
462C2×D4—21no—
463C2×D4—21no—
464C2×D4—32no—
465C2×D4—64no—
466C2×D4—61no—
467C2×D4—61no—
468C2×D4—61no—
469C2×D4—61no—
470C2×D4—61no—
471C2×D4—122no—
472C2×D4—124no—
473C2×D4—124no—
474C2×D4—124no—
475C2×D4—124no—
476C2×D4—122no—
477C2×D4#23512yes—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—31no—
482C22×C4—31no—
483C22×C4—31no—
484C22×C4—34no—
485C22×C4—32no—
486C22×C4—32no—
487C22×C4—62no—
488C22×C4—62no—
489C22×C4—62no—
490C22×C4—62no—
491C22×C4—61no—
492C22×C4—61no—
493C22×C4—61no—
494C22×C4—61no—
495C22×C4—61no—
496C22×C4—61no—
497C22×C4—61no—
498C22×C4—121no—
499C22×C4—122no—
500C22×C4—122no—
501C22×C4—122no—
502C22×C4D3×D411yescharacteristic
503C22×C4D3×D411yescharacteristic
504C22×C4C23×D311yescharacteristic
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—61no—
512C2×C8—61no—
513C2×C8—61no—
514C2×C8—61no—
515C2×C8—61no—
516C2×C8—61no—
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—122no—
530C4⋊C4—122no—
531C4⋊C4—122no—
532C4⋊C4—122no—
533C4⋊C4—122no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—122no—
537C22⋊C4—122no—
538C22⋊C4—122no—
539C22⋊C4—122no—
540C22⋊C4—122no—
541C22⋊C4—122no—
542C22⋊C4—122no—
543C22⋊C4—122no—
544C42—21no—
545C42—21no—
546C42—42no—
547C42—62no—
548C42—62no—
549C42—61no—
550C42—61no—
551C42—122no—
552C22×C3—42no—
553C22×C3—42no—
554C22×C3—42no—
555C22×C3—81no—
556C22×C3—81no—
557C22×C3—81no—
558C22×C3—81no—
559C22×C3C2×#12311yescharacteristic
560C22×C3#52511yescharacteristic
561C22×C3#53511yescharacteristic
562C22×C3C22×SD1611yescharacteristic
563C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
564C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
565C22×C3#57511yescharacteristic
566C2×D3—22no—
567C2×D3—22no—
568C2×D3—22no—
569C2×D3—22no—
570C2×D3—22no—
571C2×D3—22no—
572C2×D3—42no—
573C2×D3—42no—
574C2×D3—42no—
575C2×D3—816no—
576C2×D3—81no—
577C2×D3—81no—
578C2×D3—81no—
579C2×D3—81no—
580C2×D3#48114yes—
581C3×C4—22no—
582C3×C4—41no—
583C3×C4—81no—
584C3×C4—81no—
585C3×C4—81no—
586C3×C4#55111yescharacteristic
587C3×C4#55111yescharacteristic
588C3×C4#55111yescharacteristic
589C3×C4#55111yescharacteristic
590Dic3—22no—
591Dic3—22no—
592Dic3—22no—
593Dic3—81no—
594Dic3—81no—
595Dic3—81no—
596C23—22no—
597C23—32no—
598C23—32no—
599C23—32no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—61no—
607C23—61no—
608C23—61no—
609C23—61no—
610C23—62no—
611C23—128no—
612C23—128no—
613C23—128no—
614C23—121no—
615C23—121no—
616C23—121no—
617C23—121no—
618C23—121no—
619C23—121no—
620C23—244no—
621C23—244no—
622C23—244no—
623C23—244no—
624C23C2×D3×D411yescharacteristic
625D4—22no—
626D4—22no—
627D4—41no—
628D4—41no—
629D4—62no—
630D4—62no—
631D4—128no—
632D4—121no—
633D4—121no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—32no—
640C2×C4—32no—
641C2×C4—32no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—68no—
652C2×C4—61no—
653C2×C4—61no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—61no—
657C2×C4—61no—
658C2×C4—62no—
659C2×C4—62no—
660C2×C4—62no—
661C2×C4—62no—
662C2×C4—124no—
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—244no—
673C2×C4D3×SD1612yes—
674C2×C4C2×#23511yescharacteristic
675C2×C4#100411yescharacteristic
676C2×C4D3×#4111yescharacteristic
677C2×C4D3×#4111yescharacteristic
678C2×C4D3×#4111yescharacteristic
679C2×C4#100911yescharacteristic
680C8—41no—
681C8—41no—
682C8—121no—
683C8—121no—
684C2×C3—82no—
685C2×C3#248211yescharacteristic
686C2×C3C2×#48111yescharacteristic
687C2×C3#309411yescharacteristic
688C2×C3#310111yescharacteristic
689C2×C3#310911yescharacteristic
690C2×C3#320811yescharacteristic
691C2×C3#321311yescharacteristic
692D3—24no—
693D3—82no—
694C22—34no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—62no—
699C22—62no—
700C22—62no—
701C22—62no—
702C22—62no—
703C22—62no—
704C22—81no—
705C22—81no—
706C22—81no—
707C22—81no—
708C22—122no—
709C22—122no—
710C22—122no—
711C22—2416no—
712C22—241no—
713C22—241no—
714C22—241no—
715C22—241no—
716C22#554711yescharacteristic
717C22#560711yescharacteristic
718C22D3×#12311yescharacteristic
719C22C2×D3×SD1611yescharacteristic
720C22#576811yescharacteristic
721C22D3×AGL(1,ℤ/8)11yescharacteristic
722C22D3×AGL(1,ℤ/8)11yescharacteristic
723C4—22no—
724C4—41no—
725C4—62no—
726C4—62no—
727C4—62no—
728C4—81no—
729C4—81no—
730C4—81no—
731C4—241no—
732C4—241no—
733C4—241no—
734C4#552711yescharacteristic
735C4#555611yescharacteristic
736C4#567911yescharacteristic
737C4#570511yescharacteristic
738C3#2758511yescharacteristic, complemented, Sylow
739C2—64no—
740C2—82no—
741C2—242no—
742C2#7586611yescharacteristic
743C2#7965111yescharacteristic
744C2#7986911yescharacteristic
745C2#8038711yescharacteristic
746C2#8054211yescharacteristic
747C2D3×#48111yescharacteristic
748C2#8137311yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1926C2
socleC23×C3C22×D4
prime radicalC22×D3×D4C22
hypercenter#1926D3
hypocenterC3#27585
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1926

Complements

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

NH ≅ G/Ntype
2. #73753C2semidirect
3. C3×#1926C2semidirect
4. #70587C2semidirect
5. #70579C2semidirect
8. #70184C2semidirect
9. #70165C2semidirect
10. #69637C2semidirect
11. #69463C2semidirect
12. #68902C2semidirect
13. #68875C2semidirect
14. #68664C2semidirect
15. #68626C2semidirect
23. C2×C3×#106C22semidirect
27. C3×C4×C4⋊C4C22semidirect
35. C2×#817C22semidirect
39. #4975C22semidirect
40. #4975C22semidirect
43. C2×#808C22semidirect
44. C2×#808C22semidirect
48. C4×C4⋊Dic3C22semidirect
52. C3×#340C22semidirect
53. C3×#336C22semidirect
54. #4551C22semidirect
55. #4550C22semidirect
56. #4550C22semidirect
57. #4529C22semidirect
58. #4529C22semidirect
59. #4524C22semidirect
69. #1926D3semidirect
154. C2×#106C2×D3semidirect
179. C4×C4⋊C4C2×D3semidirect
183. #340C2×D3semidirect
187. #336C2×D3semidirect
738. C3#27585semidirect

Maximal subgroups

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

subgroupindex
D3×#3902
#737532
C3×#19262
#705872
#705792
#701982
#701842
#701652
#696372
#694632
#689022
#688752
#686642
#686262
#275853