Finite Group Databasebeta

← #10823566

Subgroups — #10823566

Order 768.

1114 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
1C2×#5698C211yesmaximal, characteristic, complemented
2C2×#4757C211yesmaximal, characteristic, complemented
3C2×#4758C211yesmaximal, characteristic, complemented
4#76430C211yesmaximal, characteristic
5C3×#2025C211yesmaximal, characteristic, complemented
6#71739C211yesmaximal, characteristic, complemented
7#70205C211yesmaximal, characteristic
8#70205C211yesmaximal, characteristic
9#69661C211yesmaximal, characteristic, complemented
10#68825C211yesmaximal, characteristic, complemented
11#68824C211yesmaximal, characteristic, complemented
12#68783C211yesmaximal, characteristic, complemented
13#68781C211yesmaximal, characteristic, complemented
14#68631C211yesmaximal, characteristic, complemented
15#68601C211yesmaximal, characteristic, complemented
16#23584—31nomaximal, Sylow
17C2×C3×#125C2211yescharacteristic
18C2×#938C2211yescharacteristic
19C2×D4×Dic3C2211yescharacteristic
20C22×#214C2211yescharacteristic
21C22×#214C2211yescharacteristic
22#5698—24no—
23#5698—24no—
24C2×#898—21no—
25C2×#898—21no—
26C2×#897C2211yescharacteristic
27C2×#897C2211yescharacteristic
28C2×#890—21no—
29C2×#890—21no—
30C2×#887C2211yescharacteristic
31C2×#887C2211yescharacteristic
32C2×#872C2211yescharacteristic
33C2×#869C2211yescharacteristic
34C2×C3×#102C2211yescharacteristic
35C2×C3×#102C2211yescharacteristic
36C3×#390C2211yescharacteristic
37C2×(C2×D3)⋊C8C2211yescharacteristic
38C2×(C2×D3)⋊C8C2211yescharacteristic
39C2×#816C2211yescharacteristic
40C2×#816C2211yescharacteristic
41C2×#816C2211yescharacteristic
42C2×#816C2211yescharacteristic
43C2×#815C2211yescharacteristic
44C2×C8×Dic3C2211yescharacteristic
45#4987C2211yescharacteristic
46Dic3×C4⋊C4C2211yescharacteristic
47C2×#810C2211yescharacteristic
48C2×#810C2211yescharacteristic
49C2×#808C2211yescharacteristic
50C2×#807C2211yescharacteristic
51#4958—21no—
52#4957—21no—
53#4946—21no—
54#4944—21no—
55#4928C2211yescharacteristic
56#4758—24no—
57#4757—24no—
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60C3×#336C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#541—31no—
65C2×#440—31no—
66C2×C4×SD16—31no—
67#2324—31no—
68#2059—31no—
69#2043—31no—
70#2036—31no—
71#2035—31no—
72#2025D311yescharacteristic, complemented
73#2013—31no—
74#2000—31no—
75#2000—31no—
76#1763—31no—
77C4×#103—31no—
78#1750—31no—
79C22×C3×D4C2311yescharacteristic
80C22×#67—21no—
81C23×Dic3—21no—
82C22×C4×D3C2311yescharacteristic
83C22×Dic6C2311yescharacteristic
84C22×Dic6C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C3×#125—22no—
88C3×#125—22no—
89C2×C3×C4⋊C4—21no—
90C2×C3×C4⋊C4—21no—
91C2×C3×C4⋊C4C2311yescharacteristic
92C2×C3×C4⋊C4C2311yescharacteristic
93C2×C3×C4⋊C4C2311yescharacteristic
94C2×C3×C22⋊C4—21no—
95C2×C3×C22⋊C4—21no—
96C2×C3×C42C2311yescharacteristic
97C2×#217—21no—
98C2×#217—21no—
99#938—22no—
100#938—22no—
101D4×Dic3—22no—
102D4×Dic3—22no—
103C2×#214—22no—
104C2×#214—22no—
105C2×#214—22no—
106C2×#214—22no—
107C2×#214—22no—
108C2×#214—22no—
109C2×(C2×D3)⋊C4—21no—
110C2×(C2×D3)⋊C4—21no—
111C2×(C2×D3)⋊C4—21no—
112C2×(C2×D3)⋊C4D411yescharacteristic
113C2×(C2×D3)⋊C4D411yescharacteristic
114C2×C4⋊Dic3—21no—
115C2×C4⋊Dic3—21no—
116C2×C4⋊Dic3—21no—
117C2×C4⋊Dic3—21no—
118C2×C4⋊Dic3C2311yescharacteristic
119C2×C4⋊Dic3C2311yescharacteristic
120C2×Dic3⋊C4—21no—
121C2×Dic3⋊C4—21no—
122C2×Dic3⋊C4—21no—
123C2×Dic3⋊C4D411yescharacteristic
124C2×Dic3⋊C4D411yescharacteristic
125C2×C4×Dic3—21no—
126C2×C4×Dic3—21no—
127C2×C4×Dic3—21no—
128C2×C4×Dic3C2311yescharacteristic
129C22×C3⋊C8C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131#898—28no—
132#898—28no—
133#897—22no—
134#897—22no—
135#897—22no—
136#897—22no—
137#890—28no—
138#890—28no—
139#887—22no—
140#887—22no—
141#887D414yescomplemented
142#887D414yescomplemented
143#872—22no—
144#872—22no—
145#869—22no—
146#869—22no—
147C3×#102—22no—
148C3×#102—22no—
149C3⋊#95—21no—
150C3⋊#95—21no—
151C3⋊#95—21no—
152(C2×D3)⋊C8—22no—
153(C2×D3)⋊C8—22no—
154#816—22no—
155#816—22no—
156#816—22no—
157#816—22no—
158#815—22no—
159C8×Dic3—22no—
160#810—22no—
161#810—22no—
162#808—22no—
163#807—22no—
164C22×SD16—31no—
165C22×SD16—31no—
166#541—64no—
167#541—64no—
168C2×C4⋊Q8—31no—
169C2×#126—61no—
170C2×#126—61no—
171C2×#125—61no—
172C2×#125—61no—
173C2×#125C2×D311yescharacteristic
174C2×C22⋊Q8—31no—
175C2×C22⋊Q8—31no—
176C2×#121—31no—
177C2×C4×Q8—31no—
178C2×C4×Q8—31no—
179C2×C4×D4—31no—
180C2×#117—31no—
181#440—64no—
182C4×SD16—64no—
183C2×#107—31no—
184C2×#106—31no—
185C2×#103—31no—
186C2×#103—31no—
187C2×#103—31no—
188C2×#103—31no—
189C2×#103—31no—
190C2×#103—31no—
191C2×#102C2×D311yescharacteristic
192C2×#102C2×D311yescharacteristic
193C2×C22⋊C8—31no—
194C2×C22⋊C8—31no—
195C2×#97—31no—
196C2×C4×C8—31no—
197#390—61no—
198#390C2×D311yescharacteristic
199#389—31no—
200#388—61no—
201#386—61no—
202#385—61no—
203#380—31no—
204C4×C4⋊C4—31no—
205#340—31no—
206#340—31no—
207#340C2×D311yescharacteristic
208#340C2×D311yescharacteristic
209#336—31no—
210#336C2×D311yescharacteristic
211C24×C3—21no—
212C23×D3C2×D411yescharacteristic
213C2×C3×D4—21no—
214C2×C3×D4—21no—
215C2×C3×D4—21no—
216C2×C3×D4—21no—
217C2×C3×D4—21no—
218C2×C3×D4#4112yes—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2411yescharacteristic
225C2×#67—24no—
226C2×#67—81no—
227C2×#67—81no—
228C22×Dic3—21no—
229C22×Dic3—21no—
230C22×Dic3—21no—
231C22×Dic3—21no—
232C22×Dic3—42no—
233C22×Dic3—81no—
234C22×Dic3—81no—
235C22×Dic3C2×D411yescharacteristic
236C22×Dic3C2×D411yescharacteristic
237C22×Dic3C2×D411yescharacteristic
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×Dic6—21no—
245C2×Dic6—21no—
246C2×Dic6—21no—
247C2×Dic6—21no—
248C2×Dic6—21no—
249C2×Dic6—21no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6—21no—
254C2×Dic6C2×D412yes—
255C2×Dic6C2×D412yes—
256C2×C3×C8—21no—
257C2×C3×C8—21no—
258C2×C3×C8—21no—
259C2×C3×C8—21no—
260C2×C3×C8—21no—
261C2×C3×C8—21no—
262C3×C4⋊C4—24no—
263C3×C4⋊C4—24no—
264C3×C4⋊C4—21no—
265C3×C4⋊C4—21no—
266C3×C4⋊C4—21no—
267C3×C4⋊C4—21no—
268C3×C4⋊C4C2×D412yes—
269C3×C4⋊C4C2×D412yes—
270C3×C22⋊C4—81no—
271C3×C22⋊C4—81no—
272C3×C42—21no—
273C3×C42—21no—
274#217—24no—
275#217—42no—
276#214—28no—
277#214—28no—
278(C2×D3)⋊C4—24no—
279(C2×D3)⋊C4—24no—
280(C2×D3)⋊C4—22no—
281(C2×D3)⋊C4—22no—
282(C2×D3)⋊C4—81no—
283C4⋊Dic3—24no—
284C4⋊Dic3—24no—
285C4⋊Dic3—24no—
286C4⋊Dic3—24no—
287C4⋊Dic3—21no—
288C4⋊Dic3—21no—
289C4⋊Dic3—21no—
290C4⋊Dic3#4112yes—
291Dic3⋊C4—22no—
292Dic3⋊C4—22no—
293Dic3⋊C4—24no—
294Dic3⋊C4—24no—
295Dic3⋊C4—81no—
296C4×Dic3—24no—
297C4×Dic3—24no—
298C4×Dic3—81no—
299C4×Dic3C2×D412yes—
300C4×Dic3C2×D412yes—
301C2×C3⋊C8—21no—
302C2×C3⋊C8—21no—
303C2×C3⋊C8—21no—
304C2×C3⋊C8—21no—
305C2×C3⋊C8#4112yes—
306C2×C3⋊C8#4112yes—
307C22×Q8—31no—
308C22×Q8—31no—
309C22×D4—61no—
310C22×D4C22×D311yescharacteristic
311C23×C4—31no—
312C23×C4—61no—
313C2×SD16—62no—
314C2×SD16—62no—
315C2×SD16—62no—
316C2×SD16—62no—
317C2×SD16—62no—
318C2×SD16—62no—
319C22×C8—31no—
320C22×C8—31no—
321C22×C8C22×D311yescharacteristic
322C22×C8C22×D311yescharacteristic
323C4⋊Q8—62no—
324C4⋊Q8—62no—
325#126—68no—
326#126—68no—
327#125—22no—
328#125—22no—
329#125—68no—
330#125—68no—
331C22⋊Q8—62no—
332C22⋊Q8—62no—
333C22⋊Q8—62no—
334C22⋊Q8—62no—
335#121—62no—
336#121—62no—
337C4×Q8—34no—
338C4×Q8—34no—
339C4×Q8—62no—
340C4×Q8—62no—
341C4×D4—62no—
342C4×D4—62no—
343#117—62no—
344#117—62no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—31no—
348C2×C4⋊C4—31no—
349C2×C4⋊C4—31no—
350C2×C4⋊C4—31no—
351C2×C4⋊C4—61no—
352C2×C4⋊C4—61no—
353C2×C4⋊C4—61no—
354C2×C4⋊C4—61no—
355C2×C4⋊C4—61no—
356C2×C4⋊C4—61no—
357C2×C4⋊C4—61no—
358C2×C4⋊C4C22×D311yescharacteristic
359C2×C4⋊C4C22×D311yescharacteristic
360C2×C4⋊C4C22×D311yescharacteristic
361C2×C22⋊C4—21no—
362C2×C22⋊C4—21no—
363C2×C22⋊C4—31no—
364C2×C22⋊C4—31no—
365C2×C22⋊C4—61no—
366C2×C22⋊C4—61no—
367C2×C22⋊C4—61no—
368C2×C22⋊C4—61no—
369C2×C22⋊C4—61no—
370C2×C42—31no—
371C2×C42—61no—
372C2×C42—61no—
373C2×C42—61no—
374C2×C42C22×D311yescharacteristic
375#107—62no—
376#106—62no—
377#103—62no—
378#103—62no—
379#103—62no—
380#103—62no—
381#103—62no—
382#103—62no—
383#102—22no—
384#102—22no—
385C22⋊C8—62no—
386C22⋊C8—62no—
387#97—62no—
388C4×C8—62no—
389#95—61no—
390#95—61no—
391#95—61no—
392C23×C3—22no—
393C23×C3—41no—
394C23×C3—41no—
395C23×C3—41no—
396C23×C3—41no—
397C23×C3—41no—
398C23×C3—41no—
399C23×C3C22×D411yescharacteristic
400C22×D3—21no—
401C22×D3—21no—
402C22×D3—21no—
403C22×D3—21no—
404C22×D3—21no—
405C22×D3—21no—
406C22×D3—21no—
407C3×D4—22no—
408C3×D4—22no—
409C3×D4—41no—
410C3×D4—41no—
411C2×C3×C4—22no—
412C2×C3×C4—22no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—21no—
419C2×C3×C4—41no—
420C2×C3×C4—41no—
421C2×C3×C4—41no—
422C2×C3×C4—41no—
423C2×C3×C4—41no—
424C2×C3×C4—41no—
425C2×C3×C4—41no—
426C2×C3×C4C22×D411yescharacteristic
427C2×C3×C4C22×D411yescharacteristic
428C2×C3×C4C2×#4111yescharacteristic
429C2×C3×C4C2×#4111yescharacteristic
430C2×C3×C4C2×#4111yescharacteristic
431C2×C3×C4C2×#4111yescharacteristic
432#67—84no—
433C2×Dic3—21no—
434C2×Dic3—21no—
435C2×Dic3—21no—
436C2×Dic3—21no—
437C2×Dic3—22no—
438C2×Dic3—22no—
439C2×Dic3—21no—
440C2×Dic3—22no—
441C2×Dic3—21no—
442C2×Dic3—21no—
443C2×Dic3—41no—
444C2×Dic3—41no—
445C2×Dic3—41no—
446C2×Dic3—41no—
447C2×Dic3—41no—
448C2×Dic3—41no—
449C2×Dic3—41no—
450C2×Dic3—41no—
451C2×Dic3—41no—
452C2×Dic3—84no—
453C2×Dic3#12012yes—
454C2×Dic3#12012yes—
455C4×D3—41no—
456C4×D3—41no—
457C4×D3—41no—
458C4×D3—41no—
459Dic6—22no—
460Dic6—22no—
461Dic6—22no—
462Dic6—22no—
463Dic6—41no—
464Dic6—41no—
465Dic6—41no—
466Dic6—41no—
467C3×C8—41no—
468C3×C8—41no—
469C3⋊C8—22no—
470C3⋊C8—22no—
471C24—21no—
472C24—31no—
473C2×Q8—32no—
474C2×Q8—32no—
475C2×Q8—61no—
476C2×Q8—61no—
477C2×Q8—61no—
478C2×Q8—61no—
479C2×Q8—61no—
480C2×Q8—61no—
481C2×Q8—61no—
482C2×Q8—61no—
483C2×Q8—61no—
484C2×Q8—61no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—64no—
491C2×D4—241no—
492C2×D4—241no—
493C2×D4#23912yes—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—31no—
498C22×C4—31no—
499C22×C4—31no—
500C22×C4—61no—
501C22×C4—61no—
502C22×C4—61no—
503C22×C4—61no—
504C22×C4—61no—
505C22×C4—61no—
506C22×C4—61no—
507C22×C4—61no—
508C22×C4—61no—
509C22×C4—61no—
510C22×C4—122no—
511C22×C4—241no—
512C22×C4—241no—
513C22×C4D3×D411yescharacteristic
514C22×C4D3×D411yescharacteristic
515C22×C4C23×D311yescharacteristic
516SD16—68no—
517SD16—68no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—32no—
525C2×C8—32no—
526C2×C8—61no—
527C2×C8—61no—
528C2×C8—61no—
529C2×C8—61no—
530C4⋊C4—24no—
531C4⋊C4—24no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—32no—
537C4⋊C4—62no—
538C4⋊C4—62no—
539C4⋊C4—64no—
540C4⋊C4—64no—
541C4⋊C4—64no—
542C4⋊C4—64no—
543C4⋊C4—64no—
544C4⋊C4—64no—
545C4⋊C4—61no—
546C4⋊C4—61no—
547C4⋊C4—61no—
548C4⋊C4—241no—
549C4⋊C4D3×D412yes—
550C4⋊C4D3×D412yes—
551C22⋊C4—62no—
552C22⋊C4—62no—
553C22⋊C4—64no—
554C22⋊C4—64no—
555C22⋊C4—64no—
556C22⋊C4—81no—
557C22⋊C4—81no—
558C22⋊C4—122no—
559C22⋊C4—241no—
560C42—21no—
561C42—21no—
562C42—32no—
563C42—32no—
564C42—64no—
565C42—64no—
566C42—241no—
567C22×C3—42no—
568C22×C3—42no—
569C22×C3—42no—
570C22×C3—81no—
571C22×C3—81no—
572C22×C3—81no—
573C22×C3—81no—
574C22×C3C2×#12011yescharacteristic
575C22×C3#52511yescharacteristic
576C22×C3#53211yescharacteristic
577C22×C3#57711yescharacteristic
578C22×C3#57711yescharacteristic
579C22×C3#57711yescharacteristic
580C22×C3#57811yescharacteristic
581C2×D3—41no—
582C2×D3—41no—
583C2×D3—41no—
584C2×D3—41no—
585C2×D3—41no—
586C2×D3—41no—
587C2×D3—41no—
588C3×C4—41no—
589C3×C4—42no—
590C3×C4—41no—
591C3×C4—42no—
592C3×C4—81no—
593C3×C4#52511yescharacteristic
594C3×C4#52511yescharacteristic
595C3×C4#53211yescharacteristic
596C3×C4#53211yescharacteristic
597Dic3—22no—
598Dic3—22no—
599Dic3—42no—
600Dic3—42no—
601Dic3—42no—
602Dic3—41no—
603Dic3—81no—
604C23—22no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—61no—
612C23—61no—
613C23—61no—
614C23—61no—
615C23—61no—
616C23—61no—
617C23—61no—
618C23C2×D3×D411yescharacteristic
619Q8—62no—
620Q8—62no—
621Q8—62no—
622Q8—62no—
623Q8—121no—
624Q8—121no—
625Q8—121no—
626Q8—121no—
627D4—22no—
628D4—22no—
629D4—41no—
630D4—41no—
631D4—244no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—22no—
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—61no—
650C2×C4—61no—
651C2×C4—61no—
652C2×C4—61no—
653C2×C4—61no—
654C2×C4—62no—
655C2×C4—62no—
656C2×C4—61no—
657C2×C4—61no—
658C2×C4—62no—
659C2×C4—121no—
660C2×C4—121no—
661C2×C4—121no—
662C2×C4—121no—
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×C4C2×D3×D411yescharacteristic
674C2×C4C2×D3×D411yescharacteristic
675C2×C4C2×#23911yescharacteristic
676C2×C4D3×#4111yescharacteristic
677C2×C4D3×#4111yescharacteristic
678C2×C4D3×#4111yescharacteristic
679C8—41no—
680C8—41no—
681C8—62no—
682C8—62no—
683C2×C3—82no—
684C2×C3#238811yescharacteristic
685C2×C3#301011yescharacteristic
686C2×C3#301311yescharacteristic
687C2×C3#312011yescharacteristic
688C2×C3#312311yescharacteristic
689C2×C3#317411yescharacteristic
690C2×C3#317811yescharacteristic
691D3—81no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—81no—
696C22—81no—
697C22—81no—
698C22—81no—
699C22—121no—
700C22—121no—
701C22—121no—
702C22—121no—
703C22—121no—
704C22—121no—
705C22—121no—
706C22D3×#12011yescharacteristic
707C22#562711yescharacteristic
708C22#566811yescharacteristic
709C22#577011yescharacteristic
710C22#577111yescharacteristic
711C22#577511yescharacteristic
712C22#577511yescharacteristic
713C4—41no—
714C4—42no—
715C4—41no—
716C4—42no—
717C4—62no—
718C4—62no—
719C4—81no—
720C4—121no—
721C4—122no—
722C4—122no—
723C4—122no—
724C4—241no—
725C4#562711yescharacteristic
726C4#562711yescharacteristic
727C4#566811yescharacteristic
728C4#566811yescharacteristic
729C3#2358411yescharacteristic, complemented, Sylow
730C2—82no—
731C2—241no—
732C2#7677711yescharacteristic
733C2#8008611yescharacteristic
734C2#8008811yescharacteristic
735C2#8114511yescharacteristic
736C2#8114711yescharacteristic
737C2#8162911yescharacteristic
738C2#8170511yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2025C2
socleC23×C3C22×D4
prime radicalC2×#938C22
hypercenter#2025D3
hypocenterC3#23584
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2025

Complements

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

NH ≅ G/Ntype
1. C2×#5698C2semidirect
2. C2×#4757C2semidirect
3. C2×#4758C2semidirect
5. C3×#2025C2semidirect
6. #71739C2semidirect
9. #69661C2semidirect
10. #68825C2semidirect
11. #68824C2semidirect
12. #68783C2semidirect
13. #68781C2semidirect
14. #68631C2semidirect
15. #68601C2semidirect
72. #2025D3semidirect
141. #887D4semidirect
142. #887D4semidirect
729. C3#23584semidirect

Maximal subgroups

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

subgroupindex
C2×#56982
C2×#47572
C2×#47582
#764302
C3×#20252
#717392
#702052
#696612
#688252
#688242
#687832
#687812
#686312
#686012
#235843