Finite Group Databasebeta

← #10828788

Subgroups — #10828788

Order 768.

1164 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5695C211yesmaximal, characteristic
2C2×#4882C211yesmaximal, characteristic, complemented
3C2×D3×#106C211yesmaximal, characteristic, complemented
4#76231C211yesmaximal, characteristic, complemented
5C3×#2059C211yesmaximal, characteristic, complemented
6#71739C211yesmaximal, characteristic, complemented
7#70633C211yesmaximal, characteristic, complemented
8#70581C211yesmaximal, characteristic, complemented
9#69626C211yesmaximal, characteristic, complemented
10#68883C211yesmaximal, characteristic, complemented
11#68876C211yesmaximal, characteristic, complemented
12#68872C211yesmaximal, characteristic, complemented
13#68823C211yesmaximal, characteristic, complemented
14#68671C211yesmaximal, characteristic, complemented
15#68668C211yesmaximal, characteristic, complemented
16#24091—31nomaximal, Sylow
17C2×C3×#125C2211yescharacteristic
18C22×D3×C8C2211yescharacteristic
19#5695—24no—
20#5695—24no—
21C2×#898—21no—
22C2×#895—21no—
23C2×#895C2211yescharacteristic
24C2×#895C2211yescharacteristic
25C2×#894—21no—
26C2×#894—21no—
27C2×#893—21no—
28C2×#892C2211yescharacteristic
29C2×D3×C4⋊C4C2211yescharacteristic
30C2×D3×C4⋊C4C2211yescharacteristic
31C2×C4×D12C2211yescharacteristic
32C2×C4×D12C2211yescharacteristic
33C2×C3×#107C2211yescharacteristic
34C2×C3×#106C2211yescharacteristic
35C3×#389C2211yescharacteristic
36C2×#821C2211yescharacteristic
37C2×#821C2211yescharacteristic
38C2×(C2×D3)⋊C8C2211yescharacteristic
39C2×(C2×D3)⋊C8C2211yescharacteristic
40C2×(C2×D3)⋊C8C2211yescharacteristic
41C2×#817C2211yescharacteristic
42#4987C2211yescharacteristic
43#4987C2211yescharacteristic
44#4987C2211yescharacteristic
45#4982—21no—
46C2×#809C2211yescharacteristic
47C2×#809C2211yescharacteristic
48C2×#808C2211yescharacteristic
49C2×#808C2211yescharacteristic
50C2×#807C2211yescharacteristic
51#4928C2211yescharacteristic
52#4882—24no—
53D3×#106—24no—
54#4675—21no—
55#4664—21no—
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#336C2211yescharacteristic
59#4551C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#553—31no—
65C2×#480—31no—
66C22×#106—31no—
67#2486—31no—
68#2059—31no—
69#2059D311yescharacteristic, complemented
70#2034—31no—
71#2034—31no—
72#1893—31no—
73#1869—31no—
74#1864—31no—
75#1864—31no—
76#1854—31no—
77#1854—31no—
78#1824—31no—
79C22×D12—21no—
80C22×D12—21no—
81C22×D12D411yescharacteristic
82C22×D12C2311yescharacteristic
83C22×C4×D3—21no—
84C22×C4×D3—21no—
85C22×C4×D3—21no—
86C22×C4×D3C2311yescharacteristic
87C22×C4×D3C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C3×#125—22no—
91C3×#125—22no—
92C2×C3×C4⋊C4—21no—
93C2×C3×C4⋊C4—21no—
94C2×C3×C4⋊C4—21no—
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C4⋊C4C2311yescharacteristic
97C2×C3×C4⋊C4C2311yescharacteristic
98C2×C3×C4⋊C4C2311yescharacteristic
99C2×C3×C42C2311yescharacteristic
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×(C2×D3)⋊C4—21no—
107C2×(C2×D3)⋊C4D411yescharacteristic
108C2×(C2×D3)⋊C4D411yescharacteristic
109C2×C4⋊Dic3D411yescharacteristic
110C2×C4⋊Dic3C2311yescharacteristic
111C2×C4⋊Dic3C2311yescharacteristic
112C2×C4⋊Dic3C2311yescharacteristic
113C2×Dic3⋊C4—21no—
114C2×Dic3⋊C4—21no—
115C2×Dic3⋊C4—21no—
116C2×C4×Dic3—21no—
117C22×C3⋊C8C2311yescharacteristic
118C22×C3⋊C8C2311yescharacteristic
119C2×D3×C8—22no—
120C2×D3×C8—22no—
121C2×D3×C8—22no—
122#898—28no—
123#895—28no—
124#895—22no—
125#895—22no—
126#895—22no—
127#895D414yes—
128#894—28no—
129#894—44no—
130#893—28no—
131#892—22no—
132#892—22no—
133D3×C4⋊C4—22no—
134D3×C4⋊C4—22no—
135D3×C4⋊C4—22no—
136D3×C4⋊C4D414yes—
137C4×D12—22no—
138C4×D12—22no—
139C4×D12—22no—
140C4×D12—22no—
141C3×#107—22no—
142C3×#106—22no—
143C3×#95—21no—
144C3⋊#95—21no—
145C3⋊#95—21no—
146C3⋊#95—21no—
147C3⋊#95—21no—
148#821—22no—
149#821—22no—
150(C2×D3)⋊C8—22no—
151(C2×D3)⋊C8—22no—
152(C2×D3)⋊C8—22no—
153#817—22no—
154#809—22no—
155#809—22no—
156#808—22no—
157#808—22no—
158#807—22no—
159C23×C8—31no—
160#553—64no—
161#553—64no—
162C2×#126—61no—
163C2×#125C2×D311yescharacteristic
164C2×#123—61no—
165C2×#123—61no—
166C2×#121—31no—
167C2×#121—31no—
168C2×#121—61no—
169C2×C4×D4—31no—
170C2×C4×D4—31no—
171C2×C4×D4—61no—
172C2×#117—31no—
173C22×C4⋊C4—31no—
174C22×C4⋊C4—31no—
175#480—64no—
176C2×#107—31no—
177C2×#107C2×D311yescharacteristic
178C2×#106—31no—
179C2×#106—31no—
180C2×#106—31no—
181C2×#106—64no—
182C2×#106C2×D311yescharacteristic
183C2×#102—31no—
184C2×#102—31no—
185C2×#102—31no—
186C2×#102—31no—
187C2×C22⋊C8—31no—
188C2×C22⋊C8—31no—
189C2×C22⋊C8—31no—
190#398—61no—
191#397—61no—
192#389—31no—
193#389C2×D311yescharacteristic
194#381—61no—
195#380—31no—
196#380—31no—
197#380—31no—
198#340—31no—
199#340—31no—
200#340—31no—
201#340—31no—
202#340C2×D311yescharacteristic
203#340C2×D311yescharacteristic
204#336—31no—
205#336C2×D311yescharacteristic
206C23×D3—21no—
207C23×D3C2×D411yescharacteristic
208C23×D3C2×D411yescharacteristic
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4C2411yescharacteristic
216C22×Dic3—21no—
217C22×Dic3—21no—
218C22×Dic3—21no—
219C22×Dic3C2×D411yescharacteristic
220C22×Dic3C2×D411yescharacteristic
221C2×D12—21no—
222C2×D12—21no—
223C2×D12—21no—
224C2×D12—21no—
225C2×D12—22no—
226C2×D12—24no—
227C2×D12—22no—
228C2×D12—22no—
229C2×D12—21no—
230C2×D12—24no—
231C2×D12—42no—
232C2×D12—42no—
233C2×D12—81no—
234C2×D12—81no—
235C2×D12C2×D412yes—
236C2×C4×D3—21no—
237C2×C4×D3—21no—
238C2×C4×D3—21no—
239C2×C4×D3—21no—
240C2×C4×D3—21no—
241C2×C4×D3—21no—
242C2×C4×D3—21no—
243C2×C4×D3—21no—
244C2×C4×D3—21no—
245C2×C4×D3—21no—
246C2×C4×D3—24no—
247C2×C4×D3—24no—
248C2×C4×D3—42no—
249C2×C4×D3—42no—
250C2×C4×D3—42no—
251C2×C4×D3—81no—
252C2×C4×D3—81no—
253C2×C4×D3—81no—
254C2×C4×D3—81no—
255C2×C4×D3C2×D412yes—
256C2×C4×D3C2×D412yes—
257C2×C3×C8—21no—
258C2×C3×C8—21no—
259C2×C3×C8—21no—
260C2×C3×C8—21no—
261C2×C3×C8—21no—
262C2×C3×C8#4112yes—
263C3×C4⋊C4—24no—
264C3×C4⋊C4—24no—
265C3×C4⋊C4—21no—
266C3×C4⋊C4—21no—
267C3×C4⋊C4—21no—
268C3×C4⋊C4—21no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4—21no—
271C3×C4⋊C4—42no—
272C3×C4⋊C4C2×D412yes—
273C3×C4⋊C4C2×D412yes—
274C3×C42—21no—
275C3×C42—21no—
276(C2×D3)⋊C4—24no—
277(C2×D3)⋊C4—24no—
278(C2×D3)⋊C4—24no—
279(C2×D3)⋊C4—22no—
280(C2×D3)⋊C4—22no—
281(C2×D3)⋊C4—24no—
282(C2×D3)⋊C4—42no—
283(C2×D3)⋊C4—42no—
284(C2×D3)⋊C4—42no—
285C4⋊Dic3—21no—
286C4⋊Dic3—22no—
287C4⋊Dic3—21no—
288C4⋊Dic3—21no—
289C4⋊Dic3—21no—
290C4⋊Dic3—21no—
291C4⋊Dic3C2×D412yes—
292Dic3⋊C4—24no—
293Dic3⋊C4—42no—
294Dic3⋊C4—42no—
295C4×Dic3—24no—
296C2×C3⋊C8—21no—
297C2×C3⋊C8—21no—
298C2×C3⋊C8—21no—
299C2×C3⋊C8—21no—
300C2×C3⋊C8—21no—
301C2×C3⋊C8#4112yes—
302D3×C8—28no—
303C22×D4—31no—
304C22×D4—31no—
305C22×D4—61no—
306C22×D4—61no—
307C23×C4—31no—
308C23×C4—31no—
309C23×C4—61no—
310C23×C4—61no—
311C23×C4—61no—
312C22×C8—31no—
313C22×C8—31no—
314C22×C8—62no—
315C22×C8—62no—
316C22×C8—62no—
317C22×C8C22×D311yescharacteristic
318C22×C8C22×D311yescharacteristic
319#126—68no—
320#125—22no—
321#125—22no—
322#123—68no—
323#123—124no—
324#121—34no—
325#121—62no—
326#121—62no—
327#121—68no—
328#121—62no—
329C4×D4—62no—
330C4×D4—62no—
331C4×D4—62no—
332C4×D4—62no—
333C4×D4—68no—
334#117—62no—
335#117—62no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—31no—
340C2×C4⋊C4—34no—
341C2×C4⋊C4—31no—
342C2×C4⋊C4—31no—
343C2×C4⋊C4—31no—
344C2×C4⋊C4—62no—
345C2×C4⋊C4—62no—
346C2×C4⋊C4—62no—
347C2×C4⋊C4—61no—
348C2×C4⋊C4—61no—
349C2×C4⋊C4—61no—
350C2×C4⋊C4C22×D311yescharacteristic
351C2×C4⋊C4C22×D311yescharacteristic
352C2×C4⋊C4C22×D311yescharacteristic
353C2×C4⋊C4C22×D311yescharacteristic
354C2×C22⋊C4—31no—
355C2×C22⋊C4—31no—
356C2×C22⋊C4—61no—
357C2×C22⋊C4—61no—
358C2×C22⋊C4—61no—
359C2×C22⋊C4—61no—
360C2×C22⋊C4—61no—
361C2×C22⋊C4—61no—
362C2×C22⋊C4—61no—
363C2×C42—61no—
364C2×C42C22×D311yescharacteristic
365#107—22no—
366#107—62no—
367#106—22no—
368#106—62no—
369#106—62no—
370#106—62no—
371#102—62no—
372#102—62no—
373#102—62no—
374#102—62no—
375C22⋊C8—62no—
376C22⋊C8—62no—
377C22⋊C8—62no—
378#95—21no—
379#95—61no—
380#95—61no—
381#95—61no—
382#95—61no—
383C23×C3C22×D411yescharacteristic
384C22×D3—21no—
385C22×D3—21no—
386C22×D3—21no—
387C22×D3—21no—
388C22×D3—21no—
389C22×D3—22no—
390C22×D3—21no—
391C22×D3—21no—
392C22×D3—21no—
393C22×D3—21no—
394C22×D3—21no—
395C22×D3—21no—
396C22×D3—41no—
397C22×D3—41no—
398C22×D3—41no—
399C22×D3—41no—
400C22×D3—41no—
401C22×D3—41no—
402C22×D3#12012yes—
403C22×D3#13512yes—
404C22×D3AGL(1,ℤ/8)12yes—
405C2×C3×C4—22no—
406C2×C3×C4—22no—
407C2×C3×C4—21no—
408C2×C3×C4—21no—
409C2×C3×C4—21no—
410C2×C3×C4—21no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—41no—
414C2×C3×C4—41no—
415C2×C3×C4—41no—
416C2×C3×C4—41no—
417C2×C3×C4—41no—
418C2×C3×C4—41no—
419C2×C3×C4—41no—
420C2×C3×C4—41no—
421C2×C3×C4—41no—
422C2×C3×C4—41no—
423C2×C3×C4C22×D411yescharacteristic
424C2×C3×C4C22×D411yescharacteristic
425C2×C3×C4C2×#4111yescharacteristic
426C2×C3×C4C2×#4111yescharacteristic
427C2×C3×C42−1+411yescharacteristic
428C2×C3×C42−1+411yescharacteristic
429C2×Dic3—21no—
430C2×Dic3—21no—
431C2×Dic3—21no—
432C2×Dic3—22no—
433C2×Dic3—21no—
434C2×Dic3—21no—
435C2×Dic3—41no—
436C2×Dic3—41no—
437C2×Dic3—41no—
438C2×Dic3—41no—
439C2×Dic3—41no—
440C2×Dic3—41no—
441C2×Dic3—41no—
442C2×Dic3—41no—
443C2×Dic3#12012yes—
444D12—22no—
445D12—22no—
446D12—44no—
447D12—48no—
448D12—41no—
449D12—41no—
450D12—84no—
451C4×D3—22no—
452C4×D3—22no—
453C4×D3—22no—
454C4×D3—22no—
455C4×D3—41no—
456C4×D3—41no—
457C4×D3—41no—
458C4×D3—41no—
459C4×D3—84no—
460C4×D3—84no—
461C4×D3—84no—
462C3×C8—22no—
463C3×C8—41no—
464C3⋊C8—22no—
465C3⋊C8—41no—
466C24—31no—
467C24—31no—
468C24—61no—
469C2×D4—32no—
470C2×D4—64no—
471C2×D4—62no—
472C2×D4—62no—
473C2×D4—62no—
474C2×D4—64no—
475C2×D4—61no—
476C2×D4—61no—
477C2×D4—61no—
478C2×D4—61no—
479C2×D4—61no—
480C2×D4—122no—
481C2×D4—122no—
482C2×D4—241no—
483C2×D4—241no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—31no—
489C22×C4—32no—
490C22×C4—32no—
491C22×C4—31no—
492C22×C4—64no—
493C22×C4—64no—
494C22×C4—61no—
495C22×C4—61no—
496C22×C4—61no—
497C22×C4—61no—
498C22×C4—61no—
499C22×C4—61no—
500C22×C4—61no—
501C22×C4—61no—
502C22×C4—61no—
503C22×C4—61no—
504C22×C4—61no—
505C22×C4—61no—
506C22×C4—61no—
507C22×C4—122no—
508C22×C4—122no—
509C22×C4—122no—
510C22×C4—241no—
511C22×C4—241no—
512C22×C4—241no—
513C22×C4—241no—
514C22×C4D3×D411yescharacteristic
515C22×C4D3×D411yescharacteristic
516C22×C4C23×D311yescharacteristic
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—32no—
523C2×C8—68no—
524C2×C8—61no—
525C2×C8—61no—
526C2×C8—61no—
527C2×C8—61no—
528C2×C8—61no—
529C2×C8#23912yes—
530C4⋊C4—24no—
531C4⋊C4—24no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—32no—
539C4⋊C4—42no—
540C4⋊C4—64no—
541C4⋊C4—62no—
542C4⋊C4—61no—
543C4⋊C4—61no—
544C4⋊C4—61no—
545C4⋊C4—61no—
546C4⋊C4—61no—
547C4⋊C4—122no—
548C4⋊C4—122no—
549C4⋊C4D3×D412yes—
550C4⋊C4D3×D412yes—
551C22⋊C4—62no—
552C22⋊C4—64no—
553C22⋊C4—62no—
554C22⋊C4—64no—
555C22⋊C4—64no—
556C22⋊C4—64no—
557C22⋊C4—122no—
558C22⋊C4—122no—
559C22⋊C4—122no—
560C42—21no—
561C42—21no—
562C42—64no—
563C22×C3C2×#12011yescharacteristic
564C22×C3#54711yescharacteristic
565C22×C3#54711yescharacteristic
566C22×C3C2×#13511yescharacteristic
567C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
568C22×C3#57711yescharacteristic
569C22×C3#57711yescharacteristic
570C2×D3—22no—
571C2×D3—22no—
572C2×D3—22no—
573C2×D3—22no—
574C2×D3—22no—
575C2×D3—22no—
576C2×D3—41no—
577C2×D3—41no—
578C2×D3—41no—
579C2×D3—41no—
580C2×D3—41no—
581C2×D3—42no—
582C2×D3—41no—
583C2×D3—42no—
584C2×D3—42no—
585C2×D3—41no—
586C2×D3—81no—
587C2×D3—81no—
588C2×D3—81no—
589C2×D3—81no—
590C2×D3#44914yes—
591C3×C4—41no—
592C3×C4—42no—
593C3×C4—41no—
594C3×C4—42no—
595C3×C4—81no—
596C3×C4—81no—
597C3×C4#52511yescharacteristic
598C3×C4#53611yescharacteristic
599C3×C4#54711yescharacteristic
600C3×C4#54711yescharacteristic
601Dic3—22no—
602Dic3—41no—
603Dic3—42no—
604Dic3—81no—
605Dic3—81no—
606C23—32no—
607C23—32no—
608C23—32no—
609C23—61no—
610C23—61no—
611C23—61no—
612C23—61no—
613C23—61no—
614C23—61no—
615C23—61no—
616C23—61no—
617C23—61no—
618C23—62no—
619C23—61no—
620C23—61no—
621C23—121no—
622C23—121no—
623C23—121no—
624C23—121no—
625C23—121no—
626C23—121no—
627C23C2×D3×D411yescharacteristic
628D4—62no—
629D4—62no—
630D4—124no—
631D4—128no—
632D4—121no—
633D4—121no—
634D4—244no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—32no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—62no—
657C2×C4—62no—
658C2×C4—62no—
659C2×C4—62no—
660C2×C4—61no—
661C2×C4—61no—
662C2×C4—62no—
663C2×C4—61no—
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—121no—
673C2×C4—121no—
674C2×C4—121no—
675C2×C4—121no—
676C2×C4—244no—
677C2×C4—244no—
678C2×C4—244no—
679C2×C4C2×D3×D411yescharacteristic
680C2×C4C2×D3×D411yescharacteristic
681C2×C4C2×#23911yescharacteristic
682C2×C4#100711yescharacteristic
683C2×C4#100711yescharacteristic
684C2×C4D3×#4111yescharacteristic
685C8—22no—
686C8—41no—
687C8—62no—
688C8—121no—
689C2×C3#240611yescharacteristic
690C2×C3C2×#44911yescharacteristic
691C2×C3#300911yescharacteristic
692C2×C3#333711yescharacteristic
693C2×C3#333711yescharacteristic
694C2×C3#334511yescharacteristic
695C2×C3#334511yescharacteristic
696D3—24no—
697D3—81no—
698D3—82no—
699C22—34no—
700C22—62no—
701C22—62no—
702C22—62no—
703C22—62no—
704C22—62no—
705C22—62no—
706C22—121no—
707C22—121no—
708C22—121no—
709C22—122no—
710C22—121no—
711C22—121no—
712C22—121no—
713C22—122no—
714C22—121no—
715C22—122no—
716C22—241no—
717C22—241no—
718C22—241no—
719C22—241no—
720C22D3×#12011yescharacteristic
721C22#563111yescharacteristic
722C22#572611yescharacteristic
723C22D3×#13511yescharacteristic
724C22#577011yescharacteristic
725C22D3×AGL(1,ℤ/8)11yescharacteristic
726C22#577811yescharacteristic
727C4—41no—
728C4—42no—
729C4—41no—
730C4—42no—
731C4—62no—
732C4—81no—
733C4—81no—
734C4—122no—
735C4—121no—
736C4—241no—
737C4—241no—
738C4#562711yescharacteristic
739C4#563111yescharacteristic
740C4#572411yescharacteristic
741C4#572611yescharacteristic
742C3#2409111yescharacteristic, complemented, Sylow
743C2—64no—
744C2—241no—
745C2—242no—
746C2#7724911yescharacteristic
747C2D3×#44911yescharacteristic
748C2#8022911yescharacteristic
749C2#8119711yescharacteristic
750C2#8125411yescharacteristic
751C2#8192511yescharacteristic
752C2#8199211yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2059C2
socleC23×C3C22×D4
prime radicalC2×#5695C2
hypercenter#2059D3
hypocenterC3#24091
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2059

Complements

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

NH ≅ G/Ntype
2. C2×#4882C2semidirect
3. C2×D3×#106C2semidirect
4. #76231C2semidirect
5. C3×#2059C2semidirect
6. #71739C2semidirect
7. #70633C2semidirect
8. #70581C2semidirect
9. #69626C2semidirect
10. #68883C2semidirect
11. #68876C2semidirect
12. #68872C2semidirect
13. #68823C2semidirect
14. #68671C2semidirect
15. #68668C2semidirect
69. #2059D3semidirect
742. C3#24091semidirect

Maximal subgroups

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

subgroupindex
C2×#56952
C2×#48822
C2×D3×#1062
#762312
C3×#20592
#717392
#706332
#705812
#696262
#688832
#688762
#688722
#688232
#686712
#686682
#240913