Finite Group Databasebeta

← #10801776

Subgroups — #10801776

Order 768.

1066 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5122C211yesmaximal, characteristic, complemented
2#82633C211yesmaximal, characteristic, complemented
3C2×#5038C211yesmaximal, characteristic
4C2×#4785C211yesmaximal, characteristic, complemented
5#73872C211yesmaximal, characteristic, complemented
6C3×#1895C211yesmaximal, characteristic, complemented
7#71990C211yesmaximal, characteristic, complemented
8#70191C211yesmaximal, characteristic, complemented
9#70186C211yesmaximal, characteristic, complemented
10Dic3×#102C211yesmaximal, characteristic, complemented
11#69511C211yesmaximal, characteristic, complemented
12#68860C211yesmaximal, characteristic, complemented
13#68853C211yesmaximal, characteristic, complemented
14#68786C211yesmaximal, characteristic, complemented
15#68780C211yesmaximal, characteristic, complemented
16#21529—31nomaximal, Sylow
17C22×C3×M16C2211yescharacteristic
18C2×C3×#121C2211yescharacteristic
19C2×D4×Dic3C2211yescharacteristic
20C22×#213C2211yescharacteristic
21C2×#930C2211yescharacteristic
22C2×#926C2211yescharacteristic
23C23×C3⋊C8C2211yescharacteristic
24C2×#893C2211yescharacteristic
25C2×C3×#102C2211yescharacteristic
26C2×C3×#102C2211yescharacteristic
27C3×#380C2211yescharacteristic
28#5221—21no—
29#5221C2211yescharacteristic
30#5220—21no—
31C2×#832C2211yescharacteristic
32#5212C2211yescharacteristic
33#5122—24no—
34C2×#821C2211yescharacteristic
35C2×#821C2211yescharacteristic
36C2×#815C2211yescharacteristic
37C2×#815C2211yescharacteristic
38C2×C8×Dic3C2211yescharacteristic
39C2×C8×Dic3C2211yescharacteristic
40#5038C418yescomplemented
41#4988C2211yescharacteristic
42#4984C2211yescharacteristic
43Dic3×C4⋊C4C2211yescharacteristic
44Dic3×C4⋊C4C2211yescharacteristic
45#4972C2211yescharacteristic
46C2×#809C2211yescharacteristic
47C2×#808C2211yescharacteristic
48C2×#808C2211yescharacteristic
49C2×#807C2211yescharacteristic
50#4957—21no—
51#4956—21no—
52#4951—21no—
53#4950—21no—
54#4785—24no—
55#4670—21no—
56#4668—21no—
57C3×#340C2211yescharacteristic
58C3×#340C2211yescharacteristic
59#4551C2211yescharacteristic
60#4551C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63C2×#466—31no—
64C2×#442—31no—
65C2×#405—31no—
66#2324—31no—
67#2324—31no—
68#1972—31no—
69#1943—31no—
70#1934—31no—
71#1934—31no—
72#1895—31no—
73#1895D311yescharacteristic, complemented
74#1807—31no—
75#1776—31no—
76C4×#102—31no—
77C4×#102—31no—
78C22×C3×D4—21no—
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4C2311yescharacteristic
81C22×#67—21no—
82C23×Dic3—21no—
83C22×D12C2311yescharacteristic
84C22×C4×D3—21no—
85C2×C3×M16—22no—
86C2×C3×M16—22no—
87C2×C3×M16—22no—
88C22×C3×C8C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C3×#121—22no—
91C3×#121C2×C414yescomplemented
92C2×C3×C4⋊C4C2311yescharacteristic
93C2×C3×C4⋊C4C2311yescharacteristic
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C22⋊C4—21no—
96C2×C3×C22⋊C4—21no—
97C2×#217—21no—
98C2×#217—21no—
99C2×#217—21no—
100C2×#217—21no—
101C2×#217D411yescharacteristic
102C2×#217D411yescharacteristic
103D4×Dic3—22no—
104D4×Dic3—22no—
105C2×#213—22no—
106C2×#213—22no—
107C2×#213C2×C414yes—
108#930—22no—
109#930C2×C414yescomplemented
110C2×(C2×D3)⋊C4—21no—
111C2×(C2×D3)⋊C4—21no—
112C2×(C2×D3)⋊C4—21no—
113C2×(C2×D3)⋊C4—21no—
114#926—22no—
115#926—22no—
116C2×C4⋊Dic3—21no—
117C2×C4⋊Dic3D411yescharacteristic
118C2×C4⋊Dic3D411yescharacteristic
119C2×C4⋊Dic3C2311yescharacteristic
120C2×C4⋊Dic3C2311yescharacteristic
121C2×C4⋊Dic3C2311yescharacteristic
122C2×Dic3⋊C4—21no—
123C2×C4×Dic3—21no—
124C2×C4×Dic3—21no—
125C2×C4×Dic3C2311yescharacteristic
126C2×C4×Dic3C2311yescharacteristic
127C22×C3⋊C8—22no—
128C22×C3⋊C8—22no—
129C22×C3⋊C8C2×C414yescomplemented
130C22×C3⋊C8C2311yescharacteristic
131C22×C3⋊C8C2311yescharacteristic
132#893—22no—
133#893—22no—
134C3×#102—22no—
135C3×#102—22no—
136C3×#95—21no—
137#832C2×C414yescomplemented
138C3⋊#95—21no—
139C3⋊#95—21no—
140C3⋊#95—21no—
141C3⋊#95—21no—
142C3⋊#95—21no—
143#821—22no—
144#821—22no—
145#815—22no—
146#815D414yescomplemented
147C8×Dic3—22no—
148C8×Dic3—22no—
149#809C2×C414yescomplemented
150#808—22no—
151#808—22no—
152#807C2×C414yescomplemented
153C22×D8—31no—
154C22×M16C2×D311yescharacteristic
155C23×C8—31no—
156C2×#121—31no—
157C2×#121C2×D311yescharacteristic
158C2×C4×D4—31no—
159C2×C4×D4—31no—
160C2×#117—31no—
161#466—38no—
162#442—64no—
163C2×#107—31no—
164C2×#106—31no—
165C2×#106—31no—
166C2×#102—31no—
167C2×#102—31no—
168C2×#102—31no—
169C2×#102—31no—
170C2×#102C2×D311yescharacteristic
171C2×#102C2×D311yescharacteristic
172#405—64no—
173C2×#97—31no—
174C2×#97—31no—
175C2×C4×C8—31no—
176C2×C4×C8—31no—
177#390—31no—
178#390—31no—
179#390—61no—
180#390—61no—
181#389—31no—
182#389—31no—
183#388—61no—
184#388—61no—
185#386—61no—
186#386—61no—
187#385—61no—
188#385—61no—
189#380—31no—
190#380C2×D311yescharacteristic
191C4×C4⋊C4—31no—
192C4×C4⋊C4—31no—
193#340—31no—
194#340—31no—
195#340—31no—
196#340—31no—
197#340C2×D311yescharacteristic
198#340C2×D311yescharacteristic
199C24×C3—21no—
200C24×C3C2×D411yescharacteristic
201C23×D3—21no—
202C2×C3×D4—24no—
203C2×C3×D4—21no—
204C2×C3×D4—21no—
205C2×C3×D4—21no—
206C2×C3×D4—21no—
207C2×C3×D4—21no—
208C2×C3×D4—81no—
209C2×C3×D4—81no—
210C2×C3×D4C22×C412yes—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4C22×C412yes—
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4#4112yes—
221C22×C3×C4C2411yescharacteristic
222C2×#67—24no—
223C2×#67—81no—
224C2×#67—81no—
225C22×Dic3—21no—
226C22×Dic3—21no—
227C22×Dic3—21no—
228C22×Dic3—42no—
229C22×Dic3—81no—
230C22×Dic3—81no—
231C22×Dic3C2×D411yescharacteristic
232C22×Dic3C2×D411yescharacteristic
233C22×Dic3C2×D411yescharacteristic
234C22×Dic3C2×D411yescharacteristic
235C2×D12—21no—
236C2×D12—21no—
237C2×D12—21no—
238C2×D12—21no—
239C2×D12—21no—
240C2×D12C22×C412yes—
241C2×C4×D3—42no—
242C2×C4×D3—81no—
243C2×C4×D3—81no—
244C3×M16—28no—
245C2×C3×C8—21no—
246C2×C3×C8—21no—
247C2×C3×C8—21no—
248C2×C3×C8—21no—
249C2×C3×C8C2×D412yes—
250C2×C3×C8#4112yes—
251C3×C4⋊C4—21no—
252C3×C4⋊C4—21no—
253C3×C4⋊C4—21no—
254C3×C4⋊C4—21no—
255C3×C4⋊C4—21no—
256C3×C4⋊C4C22×C412yes—
257C3×C22⋊C4—24no—
258C3×C22⋊C4—81no—
259#217—22no—
260#217—22no—
261#217—42no—
262#217—81no—
263#217—81no—
264#217—81no—
265#213—28no—
266(C2×D3)⋊C4—24no—
267(C2×D3)⋊C4—42no—
268(C2×D3)⋊C4—81no—
269(C2×D3)⋊C4—81no—
270C4⋊Dic3—21no—
271C4⋊Dic3—22no—
272C4⋊Dic3—22no—
273C4⋊Dic3—21no—
274C4⋊Dic3—21no—
275C4⋊Dic3—21no—
276C4⋊Dic3—21no—
277C4⋊Dic3—81no—
278C4⋊Dic3C22×C412yes—
279Dic3⋊C4—81no—
280C4×Dic3—21no—
281C4×Dic3—21no—
282C4×Dic3—81no—
283C4×Dic3—81no—
284C4×Dic3C2×D412yes—
285C4×Dic3#4112yes—
286C2×C3⋊C8—21no—
287C2×C3⋊C8—21no—
288C2×C3⋊C8—28no—
289C2×C3⋊C8C22×C412yes—
290C2×C3⋊C8C22×C412yes—
291C2×C3⋊C8C2×D412yes—
292C2×C3⋊C8#4112yes—
293C22×D4—21no—
294C22×D4—31no—
295C22×D4—61no—
296C22×D4C22×D311yescharacteristic
297C23×C4—61no—
298C23×C4—61no—
299C23×C4C22×D311yescharacteristic
300C2×D8—34no—
301C2×D8—62no—
302C2×D8—62no—
303C2×M16—22no—
304C2×M16—22no—
305C2×M16—22no—
306C22×C8—31no—
307C22×C8—34no—
308C22×C8—31no—
309C22×C8—62no—
310C22×C8—62no—
311C22×C8C22×D311yescharacteristic
312C22×C8C22×D311yescharacteristic
313#121—22no—
314#121—34no—
315#121—62no—
316#121C4×D314yescomplemented
317C4×D4—62no—
318C4×D4—62no—
319C4×D4—62no—
320C4×D4—62no—
321#117—62no—
322#117—62no—
323C2×C4⋊C4—31no—
324C2×C4⋊C4—31no—
325C2×C4⋊C4—31no—
326C2×C4⋊C4—31no—
327C2×C4⋊C4—31no—
328C2×C4⋊C4—61no—
329C2×C4⋊C4—61no—
330C2×C4⋊C4C22×D311yescharacteristic
331C2×C4⋊C4C22×D311yescharacteristic
332C2×C4⋊C4C22×D311yescharacteristic
333C2×C22⋊C4—21no—
334C2×C22⋊C4—21no—
335C2×C22⋊C4—31no—
336C2×C22⋊C4—31no—
337C2×C22⋊C4—61no—
338C2×C22⋊C4—61no—
339C2×C22⋊C4—61no—
340C2×C22⋊C4—61no—
341C2×C22⋊C4—61no—
342C2×C22⋊C4—61no—
343C2×C22⋊C4—61no—
344C2×C22⋊C4—61no—
345C2×C42—31no—
346C2×C42—31no—
347C2×C42—61no—
348C2×C42—61no—
349#107—34no—
350#106—62no—
351#106—62no—
352#102—22no—
353#102—22no—
354#102—34no—
355#102—34no—
356#102—62no—
357#102—62no—
358#97—34no—
359#97—62no—
360C4×C8—62no—
361C4×C8—62no—
362#95—21no—
363#95—61no—
364#95—61no—
365#95—61no—
366#95—61no—
367#95—61no—
368C23×C3—21no—
369C23×C3—21no—
370C23×C3—21no—
371C23×C3—21no—
372C23×C3—21no—
373C23×C3—21no—
374C23×C3—22no—
375C23×C3—41no—
376C23×C3—41no—
377C23×C3—41no—
378C23×C3—41no—
379C23×C3—41no—
380C23×C3—41no—
381C23×C3C4×D412yes—
382C23×C3C22×D411yescharacteristic
383C22×D3—22no—
384C22×D3—41no—
385C22×D3—41no—
386C22×D3—41no—
387C22×D3—41no—
388C22×D3—41no—
389C22×D3—41no—
390C3×D4—22no—
391C3×D4—22no—
392C3×D4—41no—
393C3×D4—41no—
394C3×D4—84no—
395C2×C3×C4—21no—
396C2×C3×C4—21no—
397C2×C3×C4—22no—
398C2×C3×C4—22no—
399C2×C3×C4—22no—
400C2×C3×C4—22no—
401C2×C3×C4—22no—
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×C4—41no—
409C2×C3×C4—41no—
410C2×C3×C4C4×D412yes—
411C2×C3×C4C23×C411yescharacteristic
412C2×C3×C4C22×D411yescharacteristic
413C2×C3×C4C2×#4111yescharacteristic
414C2×C3×C4C2×#4111yescharacteristic
415C2×C3×C4C2×#4111yescharacteristic
416C2×C3×C4C2×#4111yescharacteristic
417#67—84no—
418C2×Dic3—21no—
419C2×Dic3—21no—
420C2×Dic3—21no—
421C2×Dic3—21no—
422C2×Dic3—22no—
423C2×Dic3—21no—
424C2×Dic3—21no—
425C2×Dic3—21no—
426C2×Dic3—21no—
427C2×Dic3—21no—
428C2×Dic3—21no—
429C2×Dic3—41no—
430C2×Dic3—41no—
431C2×Dic3—41no—
432C2×Dic3—41no—
433C2×Dic3—41no—
434C2×Dic3—41no—
435C2×Dic3—41no—
436C2×Dic3—41no—
437C2×Dic3—84no—
438C2×Dic3#12112yes—
439C2×Dic3#12112yes—
440D12—22no—
441D12—22no—
442D12—41no—
443D12—41no—
444C4×D3—84no—
445C3×C8—22no—
446C3×C8—22no—
447C3⋊C8—22no—
448C3⋊C8C4×D414yes—
449C24—21no—
450C24—61no—
451C24D3×D411yescharacteristic
452C2×D4—24no—
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—81no—
466C2×D4—81no—
467C2×D4—241no—
468C2×D4—241no—
469C2×D4C2×C4×D312yes—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—31no—
478C22×C4—31no—
479C22×C4—31no—
480C22×C4—31no—
481C22×C4—61no—
482C22×C4—61no—
483C22×C4—61no—
484C22×C4—122no—
485C22×C4—122no—
486C22×C4—241no—
487C22×C4—241no—
488C22×C4—241no—
489C22×C4—241no—
490C22×C4C2×C4×D312yes—
491C22×C4D3×D411yescharacteristic
492C22×C4#23712yes—
493C22×C4C23×D311yescharacteristic
494D8—68no—
495M16—28no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—32no—
501C2×C8—32no—
502C2×C8—32no—
503C2×C8—32no—
504C2×C8—68no—
505C2×C8—61no—
506C2×C8—61no—
507C2×C8D3×D412yes—
508C2×C8#23712yes—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—32no—
515C4⋊C4—62no—
516C4⋊C4—62no—
517C4⋊C4—61no—
518C4⋊C4—61no—
519C4⋊C4—61no—
520C4⋊C4—61no—
521C4⋊C4—61no—
522C4⋊C4—241no—
523C4⋊C4—241no—
524C4⋊C4C2×C4×D312yes—
525C22⋊C4—24no—
526C22⋊C4—62no—
527C22⋊C4—62no—
528C22⋊C4—64no—
529C22⋊C4—81no—
530C22⋊C4—122no—
531C22⋊C4—122no—
532C22⋊C4—241no—
533C22⋊C4—241no—
534C22⋊C4—241no—
535C22⋊C4—241no—
536C22⋊C4—241no—
537C42—32no—
538C42—32no—
539C42—61no—
540C42—61no—
541C42—241no—
542C42—241no—
543C22×C3—22no—
544C22×C3—22no—
545C22×C3—22no—
546C22×C3—41no—
547C22×C3—41no—
548C22×C3—41no—
549C22×C3—41no—
550C22×C3—42no—
551C22×C3—42no—
552C22×C3—42no—
553C22×C3—81no—
554C22×C3—81no—
555C22×C3—81no—
556C22×C3—81no—
557C22×C3C2×C4×D411yescharacteristic
558C22×C3C2×#12111yescharacteristic
559C22×C3#53211yescharacteristic
560C22×C3#57611yescharacteristic
561C22×C3#57611yescharacteristic
562C22×C3#57711yescharacteristic
563C22×C3#57711yescharacteristic
564C2×D3—42no—
565C2×D3—42no—
566C2×D3—42no—
567C2×D3—81no—
568C2×D3—81no—
569C2×D3—81no—
570C2×D3—81no—
571C3×C4—22no—
572C3×C4—42no—
573C3×C4—81no—
574C3×C4—81no—
575C3×C4C2×C4×D411yescharacteristic
576C3×C4C4×#4111yescharacteristic
577C3×C4#52511yescharacteristic
578C3×C4#52911yescharacteristic
579Dic3—22no—
580Dic3—22no—
581Dic3—42no—
582Dic3—41no—
583Dic3—41no—
584Dic3—81no—
585Dic3—81no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—22no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—62no—
600C23—121no—
601C23—121no—
602C23—121no—
603C23—121no—
604C23—121no—
605C23—121no—
606C23#67⋊C412yes—
607C23C2×D3×D411yescharacteristic
608D4—22no—
609D4—22no—
610D4—41no—
611D4—41no—
612D4—62no—
613D4—62no—
614D4—84no—
615D4—121no—
616D4—121no—
617D4—244no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—32no—
626C2×C4—32no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—61no—
636C2×C4—61no—
637C2×C4—61no—
638C2×C4—61no—
639C2×C4—62no—
640C2×C4—61no—
641C2×C4—61no—
642C2×C4—61no—
643C2×C4—61no—
644C2×C4—61no—
645C2×C4—61no—
646C2×C4—121no—
647C2×C4—121no—
648C2×C4—121no—
649C2×C4—121no—
650C2×C4—121no—
651C2×C4—121no—
652C2×C4—121no—
653C2×C4—121no—
654C2×C4—244no—
655C2×C4—244no—
656C2×C4#67⋊C412yes—
657C2×C4C22×C4×D311yescharacteristic
658C2×C4C2×D3×D411yescharacteristic
659C2×C4C2×#23711yescharacteristic
660C2×C4C2×#23711yescharacteristic
661C2×C4D3×#4111yescharacteristic
662C2×C4D3×#4111yescharacteristic
663C8—22no—
664C8—22no—
665C8—34no—
666C8—62no—
667C2×C3—42no—
668C2×C3—82no—
669C2×C3C4×#12111yescharacteristic
670C2×C3#294811yescharacteristic
671C2×C3#295211yescharacteristic
672C2×C3#306211yescharacteristic
673C2×C3#306211yescharacteristic
674C2×C3#317911yescharacteristic
675C2×C3#317911yescharacteristic
676D3—82no—
677C22—22no—
678C22—22no—
679C22—22no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—42no—
685C22—42no—
686C22—42no—
687C22—81no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22—122no—
692C22—122no—
693C22—122no—
694C22—241no—
695C22—241no—
696C22—241no—
697C22—241no—
698C22C2×#67⋊C411yescharacteristic
699C22#559611yescharacteristic
700C22D3×#12111yescharacteristic
701C22#577411yescharacteristic
702C22#577411yescharacteristic
703C22#577511yescharacteristic
704C22#577811yescharacteristic
705C4—22no—
706C4—42no—
707C4—62no—
708C4—62no—
709C4—81no—
710C4—81no—
711C4—122no—
712C4—121no—
713C4—121no—
714C4—241no—
715C4—241no—
716C4C4×#23711yescharacteristic
717C4C4×D3×D411yescharacteristic
718C4#558611yescharacteristic
719C4#564911yescharacteristic
720C3#2152911yescharacteristic, complemented, Sylow
721C2—42no—
722C2—82no—
723C2—242no—
724C2#7466011yescharacteristic
725C2#7886911yescharacteristic
726C2#7891511yescharacteristic
727C2#8078911yescharacteristic
728C2#8080911yescharacteristic
729C2#8085111yescharacteristic
730C2#8086711yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#1895C2
socleC23×C3C22×D4
prime radicalC2×#5038C2
cosocleC22×C3×C4C24
hypercenter#1895D3
hypocenterC3#21529
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1895

Complements

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

NH ≅ G/Ntype
1. C2×#5122C2semidirect
2. #82633C2semidirect
4. C2×#4785C2semidirect
5. #73872C2semidirect
6. C3×#1895C2semidirect
7. #71990C2semidirect
8. #70191C2semidirect
9. #70186C2semidirect
10. Dic3×#102C2semidirect
11. #69511C2semidirect
12. #68860C2semidirect
13. #68853C2semidirect
14. #68786C2semidirect
15. #68780C2semidirect
40. #5038C4semidirect
73. #1895D3semidirect
91. C3×#121C2×C4semidirect
109. #930C2×C4semidirect
129. C22×C3⋊C8C2×C4semidirect
137. #832C2×C4semidirect
146. #815D4semidirect
149. #809C2×C4semidirect
152. #807C2×C4semidirect
316. #121C4×D3semidirect
720. C3#21529semidirect

Maximal subgroups

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

subgroupindex
C2×#51222
#826332
C2×#50382
C2×#47852
#738722
C3×#18952
#719902
#701912
#701862
Dic3×#1022
#695112
#688602
#688532
#687862
#687802
#215293