Finite Group Databasebeta

← #10829932

Subgroups — #10829932

Order 768.

1150 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5568C211yesmaximal, characteristic, complemented
2C2×#5162C211yesmaximal, characteristic, complemented
3C2×#4756C211yesmaximal, characteristic
4#76346C211yesmaximal, characteristic, complemented
5C3×#1880C211yesmaximal, characteristic, complemented
6#72055C211yesmaximal, characteristic
7#71628C211yesmaximal, characteristic, complemented
8#70245C211yesmaximal, characteristic, complemented
9#70225C211yesmaximal, characteristic, complemented
10#70213C211yesmaximal, characteristic, complemented
11#69659C211yesmaximal, characteristic
12#68906C211yesmaximal, characteristic, complemented
13#68892C211yesmaximal, characteristic, complemented
14#68630C211yesmaximal, characteristic, complemented
15#68619C211yesmaximal, characteristic, complemented
16#24185—31nomaximal, Sylow
17C22×C3×SD16C2211yescharacteristic
18C2×C3×C4×Q8C2211yescharacteristic
19C2×#947C2211yescharacteristic
20C2×#944C2211yescharacteristic
21C2×D4×Dic3C2211yescharacteristic
22C22×#214C2211yescharacteristic
23C22×#213C2211yescharacteristic
24#5568—24no—
25#5568—24no—
26C2×#898—21no—
27C2×#896—21no—
28C2×#893C2211yescharacteristic
29C2×#887C2211yescharacteristic
30C2×#878—21no—
31C2×#876—21no—
32C2×#875C2211yescharacteristic
33C2×#872—21no—
34C2×C4×Dic6C2211yescharacteristic
35C2×C3×#103C2211yescharacteristic
36C2×C3×#102C2211yescharacteristic
37C3×#390C2211yescharacteristic
38C2×#835C2211yescharacteristic
39C2×#835C2211yescharacteristic
40#5221C2211yescharacteristic
41#5162—24no—
42C2×#821C2211yescharacteristic
43C2×#821C2211yescharacteristic
44C2×#816C2211yescharacteristic
45C2×#816C2211yescharacteristic
46C2×Dic3⋊C8C2211yescharacteristic
47C2×C8×Dic3C2211yescharacteristic
48#4984C2211yescharacteristic
49#4975C2211yescharacteristic
50C2×#810C2211yescharacteristic
51C2×#809C2211yescharacteristic
52C2×#807C2211yescharacteristic
53#4948—21no—
54#4948—21no—
55#4942—21no—
56#4928C2211yescharacteristic
57#4756—24no—
58C3×#340C2211yescharacteristic
59C3×#336C2211yescharacteristic
60#4550C2211yescharacteristic
61#4550C2211yescharacteristic
62#4529C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#556—31no—
65C2×#461—31no—
66C2×C4×D8—31no—
67#2538—31no—
68#2042—31no—
69#2042—31no—
70#2012—31no—
71#2012—31no—
72#1984—31no—
73#1956—31no—
74#1880—31no—
75#1880D311yescharacteristic, complemented
76#1863—31no—
77#1863—31no—
78#1802—31no—
79C22×C3×Q8C2311yescharacteristic
80C22×C3×D4C2311yescharacteristic
81C23×Dic3—21no—
82C22×D12C2311yescharacteristic
83C22×C4×D3—21no—
84C22×Dic6D411yescharacteristic
85C22×Dic6C2311yescharacteristic
86C2×C3×SD16—22no—
87C2×C3×SD16—22no—
88C2×C3×SD16—41no—
89C22×C3×C8C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C3×C4×Q8—22no—
92C3×C4×Q8—22no—
93C2×C3×C4⋊C4—21no—
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C22⋊C4—21no—
97C2×C3×C22⋊C4—21no—
98C2×C3×C42—21no—
99C2×C3×C42C2311yescharacteristic
100C2×#217—21no—
101C2×#217—21no—
102C2×#217—21no—
103#947—22no—
104#947—22no—
105#944—22no—
106#944D414yes—
107D4×Dic3—22no—
108D4×Dic3—22no—
109C2×#214—22no—
110C2×#214—22no—
111C2×#214—41no—
112C2×#213—22no—
113C2×#213—22no—
114C2×#213—22no—
115C2×(C2×D3)⋊C4—21no—
116C2×(C2×D3)⋊C4—21no—
117C2×(C2×D3)⋊C4—21no—
118C2×(C2×D3)⋊C4—21no—
119C2×(C2×D3)⋊C4—21no—
120C2×C4⋊Dic3—21no—
121C2×C4⋊Dic3D411yescharacteristic
122C2×C4⋊Dic3C2311yescharacteristic
123C2×C4⋊Dic3C2311yescharacteristic
124C2×Dic3⋊C4—21no—
125C2×Dic3⋊C4—21no—
126C2×Dic3⋊C4—21no—
127C2×Dic3⋊C4—21no—
128C2×Dic3⋊C4—21no—
129C2×Dic3⋊C4—21no—
130C2×Dic3⋊C4D411yescharacteristic
131C2×Dic3⋊C4D411yescharacteristic
132C2×C4×Dic3—21no—
133C2×C4×Dic3C2311yescharacteristic
134C2×C4×Dic3C2311yescharacteristic
135C22×C3⋊C8C2311yescharacteristic
136C22×C3⋊C8C2311yescharacteristic
137#898—28no—
138#896—28no—
139#893—22no—
140#893D414yes—
141#887—22no—
142#887—22no—
143#878—44no—
144#876—28no—
145#875—22no—
146#875—22no—
147#872—28no—
148C4×Dic6—22no—
149C4×Dic6—22no—
150C3×#103—41no—
151C3×#102—22no—
152#835—22no—
153#835—22no—
154C3⋊#95—21no—
155C3⋊#95—21no—
156#821—22no—
157#821—41no—
158#816—22no—
159#816—41no—
160Dic3⋊C8—22no—
161C8×Dic3—22no—
162#810—22no—
163#809—41no—
164#807—22no—
165C22×SD16—31no—
166C22×SD16C2×D311yescharacteristic
167C22×D8—31no—
168#556—64no—
169#556—64no—
170C2×C4⋊Q8—31no—
171C2×#126—61no—
172C2×#126—61no—
173C2×#124—31no—
174C2×#124—31no—
175C2×C22⋊Q8—61no—
176C2×C22⋊Q8—61no—
177C2×C4×Q8—31no—
178C2×C4×Q8—31no—
179C2×C4×Q8C2×D311yescharacteristic
180C2×C4×D4—31no—
181C2×C4×D4—31no—
182C2×#117—61no—
183#461—64no—
184C4×D8—64no—
185C2×#107—31no—
186C2×C4⋊C8—31no—
187C2×#103—31no—
188C2×#103—31no—
189C2×#103—31no—
190C2×#103—31no—
191C2×#103—31no—
192C2×#103C2×D311yescharacteristic
193C2×#102—31no—
194C2×#102—31no—
195C2×#102—31no—
196C2×#102C2×D311yescharacteristic
197C2×C4×C8—31no—
198#396—61no—
199#396—61no—
200#390—31no—
201#390C2×D311yescharacteristic
202#389—31no—
203#389—31no—
204#384—31no—
205#380—61no—
206#340—31no—
207#340C2×D311yescharacteristic
208#336—31no—
209#336—31no—
210#336—31no—
211#336C2×D311yescharacteristic
212C24×C3—21no—
213C23×D3—21no—
214C2×C3×Q8—21no—
215C2×C3×Q8—21no—
216C2×C3×Q8—21no—
217C2×C3×Q8—21no—
218C2×C3×Q8—21no—
219C2×C3×Q8C2×D412yes—
220C2×C3×D4—21no—
221C2×C3×D4—21no—
222C2×C3×D4—21no—
223C2×C3×D4—21no—
224C2×C3×D4—21no—
225C2×C3×D4#4112yes—
226C22×C3×C4—21no—
227C22×C3×C4—21no—
228C22×C3×C4—21no—
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2×D411yescharacteristic
231C22×C3×C4C2411yescharacteristic
232C22×Dic3—21no—
233C22×Dic3—21no—
234C22×Dic3—21no—
235C22×Dic3—42no—
236C22×Dic3—42no—
237C22×Dic3—42no—
238C22×Dic3C2×D411yescharacteristic
239C22×Dic3C2×D411yescharacteristic
240C22×Dic3C2×D411yescharacteristic
241C22×Dic3C2×D411yescharacteristic
242C2×D12—21no—
243C2×D12—21no—
244C2×D12—21no—
245C2×D12—21no—
246C2×D12—21no—
247C2×D12C2×D412yes—
248C2×C4×D3—24no—
249C2×C4×D3—42no—
250C2×C4×D3—42no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6—21no—
254C2×Dic6—21no—
255C2×Dic6—21no—
256C2×Dic6—22no—
257C2×Dic6—22no—
258C2×Dic6—22no—
259C2×Dic6C2×D412yes—
260C3×SD16—44no—
261C2×C3×C8—21no—
262C2×C3×C8—21no—
263C2×C3×C8—21no—
264C2×C3×C8—21no—
265C2×C3×C8—21no—
266C2×C3×C8—21no—
267C3×C4⋊C4—24no—
268C3×C4⋊C4—21no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4—21no—
271C3×C4⋊C4C2×D412yes—
272C3×C22⋊C4—42no—
273C3×C22⋊C4—81no—
274C3×C42—24no—
275C3×C42—21no—
276C3×C42—21no—
277#217—42no—
278#217—42no—
279#217—81no—
280#214—44no—
281#213—28no—
282(C2×D3)⋊C4—24no—
283(C2×D3)⋊C4—24no—
284(C2×D3)⋊C4—24no—
285(C2×D3)⋊C4—24no—
286(C2×D3)⋊C4—24no—
287C4⋊Dic3—22no—
288C4⋊Dic3—21no—
289C4⋊Dic3—21no—
290C4⋊Dic3—21no—
291C4⋊Dic3—21no—
292C4⋊Dic3—42no—
293Dic3⋊C4—24no—
294Dic3⋊C4—22no—
295Dic3⋊C4—22no—
296Dic3⋊C4—24no—
297Dic3⋊C4—24no—
298Dic3⋊C4—42no—
299Dic3⋊C4—42no—
300Dic3⋊C4—81no—
301C4×Dic3—24no—
302C4×Dic3—21no—
303C4×Dic3—21no—
304C4×Dic3C2×D412yes—
305C4×Dic3C2×D412yes—
306C2×C3⋊C8—21no—
307C2×C3⋊C8—21no—
308C2×C3⋊C8—21no—
309C2×C3⋊C8—21no—
310C2×C3⋊C8—21no—
311C2×C3⋊C8#4112yes—
312C22×Q8—31no—
313C22×Q8—31no—
314C22×Q8C22×D311yescharacteristic
315C22×D4—31no—
316C22×D4C22×D311yescharacteristic
317C23×C4—61no—
318C23×C4—61no—
319C2×SD16—22no—
320C2×SD16—22no—
321C2×SD16—41no—
322C2×SD16—62no—
323C2×SD16—62no—
324C2×SD16—121no—
325C2×D8—62no—
326C2×D8—62no—
327C2×D8—62no—
328C22×C8—31no—
329C22×C8—31no—
330C22×C8C22×D311yescharacteristic
331C22×C8C22×D311yescharacteristic
332C4⋊Q8—34no—
333C4⋊Q8—62no—
334#126—68no—
335#126—68no—
336#124—62no—
337#124—62no—
338#124—62no—
339#124—62no—
340C22⋊Q8—68no—
341C22⋊Q8—124no—
342C4×Q8—22no—
343C4×Q8—22no—
344C4×Q8—62no—
345C4×Q8—62no—
346C4×Q8—62no—
347C4×Q8—62no—
348C4×D4—34no—
349C4×D4—62no—
350C4×D4—62no—
351C4×D4—62no—
352#117—68no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—31no—
355C2×C4⋊C4—31no—
356C2×C4⋊C4—31no—
357C2×C4⋊C4—31no—
358C2×C4⋊C4—31no—
359C2×C4⋊C4—61no—
360C2×C4⋊C4—61no—
361C2×C4⋊C4—61no—
362C2×C4⋊C4—61no—
363C2×C4⋊C4—61no—
364C2×C4⋊C4—61no—
365C2×C4⋊C4—61no—
366C2×C4⋊C4C22×D311yescharacteristic
367C2×C4⋊C4C22×D311yescharacteristic
368C2×C22⋊C4—21no—
369C2×C22⋊C4—21no—
370C2×C22⋊C4—61no—
371C2×C22⋊C4—61no—
372C2×C22⋊C4—61no—
373C2×C22⋊C4—61no—
374C2×C22⋊C4—61no—
375C2×C22⋊C4—61no—
376C2×C22⋊C4—61no—
377C2×C22⋊C4—61no—
378C2×C42—21no—
379C2×C42—31no—
380C2×C42—31no—
381C2×C42—61no—
382C2×C42C22×D311yescharacteristic
383#107—62no—
384C4⋊C8—62no—
385#103—41no—
386#103—62no—
387#103—62no—
388#103—62no—
389#103—62no—
390#103—121no—
391#102—22no—
392#102—62no—
393#102—121no—
394#102—121no—
395C4×C8—62no—
396#95—61no—
397#95—61no—
398C23×C3—22no—
399C23×C3—41no—
400C23×C3—41no—
401C23×C3—41no—
402C23×C3—41no—
403C23×C3—41no—
404C23×C3—41no—
405C23×C3C22×D411yescharacteristic
406C22×D3—22no—
407C22×D3—41no—
408C22×D3—41no—
409C22×D3—41no—
410C22×D3—41no—
411C22×D3—41no—
412C22×D3—41no—
413C3×Q8—22no—
414C3×Q8—22no—
415C3×Q8—41no—
416C3×Q8—41no—
417C3×D4—22no—
418C3×D4—22no—
419C3×D4—41no—
420C3×D4—41no—
421C2×C3×C4—22no—
422C2×C3×C4—21no—
423C2×C3×C4—22no—
424C2×C3×C4—21no—
425C2×C3×C4—21no—
426C2×C3×C4—21no—
427C2×C3×C4—21no—
428C2×C3×C4—21no—
429C2×C3×C4—41no—
430C2×C3×C4—41no—
431C2×C3×C4—41no—
432C2×C3×C4—41no—
433C2×C3×C4—41no—
434C2×C3×C4—41no—
435C2×C3×C4—41no—
436C2×C3×C4C22×D411yescharacteristic
437C2×C3×C4C22×D411yescharacteristic
438C2×C3×C4C2×#4111yescharacteristic
439C2×C3×C4C2×#4111yescharacteristic
440C2×C3×C4H(5,𝔽2)11yescharacteristic
441C2×C3×C42−1+411yescharacteristic
442C2×Dic3—21no—
443C2×Dic3—21no—
444C2×Dic3—21no—
445C2×Dic3—21no—
446C2×Dic3—22no—
447C2×Dic3—21no—
448C2×Dic3—21no—
449C2×Dic3—21no—
450C2×Dic3—21no—
451C2×Dic3—41no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454C2×Dic3—41no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457C2×Dic3—41no—
458C2×Dic3—41no—
459C2×Dic3—84no—
460C2×Dic3#12012yes—
461C2×Dic3#12012yes—
462C2×Dic3#13512yes—
463C2×Dic3AGL(1,ℤ/8)12yes—
464D12—22no—
465D12—22no—
466D12—41no—
467D12—41no—
468C4×D3—48no—
469Dic6—22no—
470Dic6—22no—
471Dic6—41no—
472Dic6—41no—
473Dic6—44no—
474C3×C8—41no—
475C3×C8—41no—
476C3⋊C8—22no—
477C3⋊C8—41no—
478C24—21no—
479C24—61no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—32no—
486C2×Q8—62no—
487C2×Q8—62no—
488C2×Q8—62no—
489C2×Q8—61no—
490C2×Q8—61no—
491C2×Q8—61no—
492C2×Q8—61no—
493C2×Q8—61no—
494C2×Q8D3×D412yes—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—32no—
501C2×D4—61no—
502C2×D4—61no—
503C2×D4—61no—
504C2×D4—61no—
505C2×D4—61no—
506C2×D4#23512yes—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—31no—
511C22×C4—31no—
512C22×C4—31no—
513C22×C4—31no—
514C22×C4—64no—
515C22×C4—61no—
516C22×C4—61no—
517C22×C4—61no—
518C22×C4—122no—
519C22×C4—122no—
520C22×C4—122no—
521C22×C4—122no—
522C22×C4—122no—
523C22×C4D3×D411yescharacteristic
524C22×C4D3×D411yescharacteristic
525C22×C4C23×D311yescharacteristic
526SD16—44no—
527SD16—124no—
528D8—68no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—32no—
536C2×C8—61no—
537C2×C8—61no—
538C2×C8—61no—
539C2×C8—61no—
540C2×C8—61no—
541C4⋊C4—24no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—62no—
546C4⋊C4—62no—
547C4⋊C4—62no—
548C4⋊C4—64no—
549C4⋊C4—64no—
550C4⋊C4—64no—
551C4⋊C4—61no—
552C4⋊C4—61no—
553C4⋊C4—61no—
554C4⋊C4—61no—
555C4⋊C4—122no—
556C4⋊C4—122no—
557C4⋊C4—122no—
558C4⋊C4—241no—
559C4⋊C4D3×D412yes—
560C22⋊C4—42no—
561C22⋊C4—64no—
562C22⋊C4—64no—
563C22⋊C4—64no—
564C22⋊C4—64no—
565C22⋊C4—64no—
566C22⋊C4—81no—
567C22⋊C4—122no—
568C22⋊C4—122no—
569C22⋊C4—241no—
570C42—24no—
571C42—21no—
572C42—21no—
573C42—32no—
574C42—32no—
575C42—64no—
576C42—61no—
577C42—61no—
578C22×C3—42no—
579C22×C3—42no—
580C22×C3—42no—
581C22×C3—81no—
582C22×C3—81no—
583C22×C3—81no—
584C22×C3—81no—
585C22×C3C2×#12011yescharacteristic
586C22×C3#54811yescharacteristic
587C22×C3#55011yescharacteristic
588C22×C3C2×#13511yescharacteristic
589C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
590C22×C3#57711yescharacteristic
591C22×C3#57811yescharacteristic
592C2×D3—42no—
593C2×D3—42no—
594C2×D3—42no—
595C2×D3—81no—
596C2×D3—81no—
597C2×D3—81no—
598C2×D3—81no—
599C3×C4—42no—
600C3×C4—41no—
601C3×C4—42no—
602C3×C4—41no—
603C3×C4—81no—
604C3×C4#52511yescharacteristic
605C3×C4#53711yescharacteristic
606C3×C4#54611yescharacteristic
607C3×C4#54711yescharacteristic
608Dic3—22no—
609Dic3—42no—
610Dic3—41no—
611Dic3—41no—
612Dic3—81no—
613Dic3—81no—
614Dic3#44914yes—
615C23—22no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—62no—
623C23—121no—
624C23—121no—
625C23—121no—
626C23—121no—
627C23—121no—
628C23—121no—
629C23C2×D3×D411yescharacteristic
630Q8—22no—
631Q8—22no—
632Q8—41no—
633Q8—41no—
634Q8—62no—
635Q8—62no—
636Q8—124no—
637Q8—121no—
638Q8—121no—
639D4—22no—
640D4—22no—
641D4—41no—
642D4—41no—
643D4—62no—
644D4—62no—
645D4—121no—
646D4—121no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—22no—
653C2×C4—21no—
654C2×C4—22no—
655C2×C4—32no—
656C2×C4—32no—
657C2×C4—32no—
658C2×C4—32no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—61no—
667C2×C4—61no—
668C2×C4—61no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—61no—
673C2×C4—61no—
674C2×C4—62no—
675C2×C4—128no—
676C2×C4—121no—
677C2×C4—121no—
678C2×C4—121no—
679C2×C4—121no—
680C2×C4—121no—
681C2×C4—121no—
682C2×C4—121no—
683C2×C4—121no—
684C2×C4—244no—
685C2×C4C2×#23511yescharacteristic
686C2×C4C2×D3×D411yescharacteristic
687C2×C4C2×D3×D411yescharacteristic
688C2×C4#100411yescharacteristic
689C2×C4D3×#4111yescharacteristic
690C2×C4#101011yescharacteristic
691C8—41no—
692C8—41no—
693C8—62no—
694C8—121no—
695C2×C3—82no—
696C2×C3#240711yescharacteristic
697C2×C3C2×#44911yescharacteristic
698C2×C3#301311yescharacteristic
699C2×C3#336011yescharacteristic
700C2×C3#336711yescharacteristic
701C2×C3#339311yescharacteristic
702C2×C3#339711yescharacteristic
703D3—82no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—81no—
708C22—81no—
709C22—81no—
710C22—81no—
711C22—122no—
712C22—122no—
713C22—122no—
714C22—241no—
715C22—241no—
716C22—241no—
717C22—241no—
718C22#555211yescharacteristic
719C22D3×#12011yescharacteristic
720C22#559911yescharacteristic
721C22#576211yescharacteristic
722C22D3×#13511yescharacteristic
723C22D3×AGL(1,ℤ/8)11yescharacteristic
724C22#577911yescharacteristic
725C4—34no—
726C4—41no—
727C4—42no—
728C4—41no—
729C4—42no—
730C4—62no—
731C4—81no—
732C4—121no—
733C4—122no—
734C4—121no—
735C4—241no—
736C4—241no—
737C4#549011yescharacteristic
738C4#554711yescharacteristic
739C4#560811yescharacteristic
740C4#565511yescharacteristic
741C3#2418511yescharacteristic, complemented, Sylow
742C2—82no—
743C2—242no—
744C2#7468811yescharacteristic
745C2#7962011yescharacteristic
746C2#7975111yescharacteristic
747C2#8004211yescharacteristic
748C2D3×#44911yescharacteristic
749C2#8037611yescharacteristic
750C2#8058811yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1880C2
socleC23×C3C22×D4
prime radicalC22×#213C22
hypercenter#1880D3
hypocenterC3#24185
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1880

Complements

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

NH ≅ G/Ntype
1. C2×#5568C2semidirect
2. C2×#5162C2semidirect
4. #76346C2semidirect
5. C3×#1880C2semidirect
7. #71628C2semidirect
8. #70245C2semidirect
9. #70225C2semidirect
10. #70213C2semidirect
12. #68906C2semidirect
13. #68892C2semidirect
14. #68630C2semidirect
15. #68619C2semidirect
75. #1880D3semidirect
741. C3#24185semidirect

Maximal subgroups

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

subgroupindex
C2×#55682
C2×#51622
C2×#47562
#763462
C3×#18802
#720552
#716282
#702452
#702252
#702132
#696592
#689062
#688922
#686302
#686192
#241853