Finite Group Databasebeta

← #10823576

Subgroups — #10823576

Order 768.

1122 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5534C211yesmaximal, characteristic
2C3×#2323C211yesmaximal, characteristic, complemented
3C2×#5026C211yesmaximal, characteristic, complemented
4C2×C4×#216C211yesmaximal, characteristic, complemented
5#71700C211yesmaximal, characteristic, complemented
6#71699C211yesmaximal, characteristic
7#71582C211yesmaximal, characteristic, complemented
8#69689C211yesmaximal, characteristic, complemented
9#69668C211yesmaximal, characteristic, complemented
10#69628C211yesmaximal, characteristic, complemented
11#69604C211yesmaximal, characteristic, complemented
12#69527C211yesmaximal, characteristic, complemented
13#69523C211yesmaximal, characteristic
14#69475C211yesmaximal, characteristic, complemented
15C4×#809C211yesmaximal, characteristic, complemented
16#23585—31nomaximal, Sylow
17C2×C3×C22⋊Q8C2211yescharacteristic
18C2×C3×C4×Q8C2211yescharacteristic
19C2×C3×#117C2211yescharacteristic
20C22×#216C2211yescharacteristic
21C22×#215C2211yescharacteristic
22C2×#930C2211yescharacteristic
23C2×#924C2211yescharacteristic
24#5534—24no—
25#5534—24no—
26C2×#898—21no—
27C2×#896—21no—
28C2×#885—21no—
29C2×#883—21no—
30C2×#875C2211yescharacteristic
31C2×C4×D12C2211yescharacteristic
32C2×#869C2211yescharacteristic
33C2×C4×Dic6C2211yescharacteristic
34C3×#391C2211yescharacteristic
35C3×#389—21no—
36C3×#389C2211yescharacteristic
37C3×#388—21no—
38C3×#388—21no—
39C3×#387—21no—
40C3×#380C2211yescharacteristic
41C3×C4×C4⋊C4C2211yescharacteristic
42C2×#835C2211yescharacteristic
43C2×#835C2211yescharacteristic
44C2×#830C2211yescharacteristic
45C2×#830C2211yescharacteristic
46C4×#216—24no—
47#5026—24no—
48C2×#810C2211yescharacteristic
49C2×#810C2211yescharacteristic
50C2×#810C2211yescharacteristic
51C2×#809C2211yescharacteristic
52C2×#809C2211yescharacteristic
53C2×#809C2211yescharacteristic
54C2×#807C2211yescharacteristic
55C2×#807C2211yescharacteristic
56C2×#803C2211yescharacteristic
57C2×C4×C3⋊C8C2211yescharacteristic
58#4529C2211yescharacteristic
59#4529C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62#4524C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#542—31no—
65C2×#440—31no—
66C2×C4×Q16—31no—
67#2323D311yescharacteristic, complemented
68#2057—31no—
69#2042—31no—
70#2036—31no—
71#2033—31no—
72#2024—31no—
73#2015—31no—
74#2001—31no—
75#2000—31no—
76#1763—31no—
77C4×#102—31no—
78#1750—31no—
79C22×C3×Q8C2311yescharacteristic
80C23×C3×C4C2311yescharacteristic
81C22×#67—21no—
82C22×D12C2311yescharacteristic
83C22×C4×D3—21no—
84C22×Dic6—21no—
85C22×Dic6C2311yescharacteristic
86C3×C22⋊Q8—22no—
87C3×C22⋊Q8—22no—
88C3×C4×Q8—22no—
89C3×C4×Q8—22no—
90C3×#117—22no—
91C3×#117—22no—
92C2×C3×C4⋊C4—21no—
93C2×C3×C4⋊C4—21no—
94C2×C3×C4⋊C4—21no—
95C2×C3×C4⋊C4D411yescharacteristic
96C2×C3×C4⋊C4D411yescharacteristic
97C2×C3×C4⋊C4C2311yescharacteristic
98C2×C3×C4⋊C4C2311yescharacteristic
99C2×C3×C4⋊C4C2311yescharacteristic
100C2×C3×C22⋊C4—21no—
101C2×C3×C22⋊C4—21no—
102C2×C3×C22⋊C4D411yescharacteristic
103C2×C3×C22⋊C4D411yescharacteristic
104C2×C3×C42—21no—
105C2×C3×C42—21no—
106C2×C3×C42C2311yescharacteristic
107C2×C3×C42C2311yescharacteristic
108C2×#217—21no—
109C2×#216—22no—
110C2×#216—22no—
111C2×#216—22no—
112C2×#215—22no—
113C2×#215—22no—
114C2×#215—22no—
115#930—22no—
116#930—22no—
117C2×(C2×D3)⋊C4—21no—
118C2×(C2×D3)⋊C4—21no—
119C2×(C2×D3)⋊C4—21no—
120C2×(C2×D3)⋊C4—21no—
121C2×C4⋊Dic3—21no—
122C2×C4⋊Dic3C2311yescharacteristic
123C2×C4⋊Dic3C2311yescharacteristic
124#924—22no—
125#924—22no—
126C2×Dic3⋊C4—21no—
127C2×Dic3⋊C4—21no—
128C2×C4×Dic3—21no—
129C22×C3⋊C8C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131C22×C3⋊C8C2311yescharacteristic
132C22×C3⋊C8C2311yescharacteristic
133#898—28no—
134#896—28no—
135#885—28no—
136#883—28no—
137#875—22no—
138#875—22no—
139C4×D12—22no—
140C4×D12D414yes—
141#869—22no—
142#869—22no—
143C4×Dic6—22no—
144C4×Dic6D414yes—
145C3×#95—21no—
146C3×#95—21no—
147C3×#95—21no—
148C3×#95—21no—
149C3×#95—21no—
150#835—22no—
151#835—22no—
152#830—22no—
153#830—22no—
154#810—22no—
155#810—22no—
156#810—22no—
157#809—22no—
158#809—22no—
159#809—22no—
160#807—22no—
161#807—22no—
162#803—22no—
163C4×C3⋊C8—22no—
164C22×Q16—31no—
165C22×SD16—31no—
166#542—64no—
167#542—64no—
168C2×C4⋊Q8—31no—
169C2×#126—61no—
170C2×#124—31no—
171C2×#124—61no—
172C2×#123—61no—
173C2×C22⋊Q8—31no—
174C2×C22⋊Q8—61no—
175C2×C22⋊Q8C2×D311yescharacteristic
176C2×#121—31no—
177C2×C4×Q8—31no—
178C2×C4×Q8C2×D311yescharacteristic
179C2×C4×D4—31no—
180C2×#117C2×D311yescharacteristic
181#440—64no—
182C4×Q16—64no—
183C2×#107—31no—
184C2×#107—31no—
185C2×#103—31no—
186C2×#103—31no—
187C2×#103—31no—
188C2×#103—31no—
189C2×#103—31no—
190C2×#102—31no—
191C2×#102—31no—
192C2×#102—31no—
193C2×C22⋊C8—31no—
194C2×C22⋊C8—31no—
195C2×#97—31no—
196C2×C4×C8—31no—
197#391C2×D311yescharacteristic
198#389—21no—
199#389C2×D311yescharacteristic
200#388—21no—
201#388—21no—
202#387—21no—
203#380C2×D311yescharacteristic
204C4×C4⋊C4C2×D311yescharacteristic
205#340—31no—
206#340—31no—
207#340—31no—
208#340—31no—
209#336—31no—
210#336—31no—
211C24×C3C2×D411yescharacteristic
212C23×D3—21no—
213C2×C3×Q8—21no—
214C2×C3×Q8—21no—
215C2×C3×Q8—21no—
216C2×C3×Q8—21no—
217C2×C3×Q8—21no—
218C2×C3×Q8#4112yes—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4—21no—
224C22×C3×C4—21no—
225C22×C3×C4—21no—
226C22×C3×C4—21no—
227C22×C3×C4—21no—
228C22×C3×C4—21no—
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2×D411yescharacteristic
231C22×C3×C4C2×D411yescharacteristic
232C22×C3×C4C2×D411yescharacteristic
233C22×C3×C4C2×D411yescharacteristic
234C22×C3×C4C2411yescharacteristic
235C2×#67—24no—
236C2×#67—81no—
237C2×#67—81no—
238C22×Dic3—21no—
239C22×Dic3—21no—
240C22×Dic3—21no—
241C2×D12—21no—
242C2×D12—21no—
243C2×D12—21no—
244C2×D12—21no—
245C2×D12—21no—
246C2×D12C2×D412yes—
247C2×C4×D3—24no—
248C2×C4×D3—81no—
249C2×C4×D3—81no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6—21no—
254C2×Dic6—21no—
255C2×Dic6—24no—
256C2×Dic6—81no—
257C2×Dic6—81no—
258C2×Dic6C2×D412yes—
259C3×C4⋊C4—24no—
260C3×C4⋊C4—22no—
261C3×C4⋊C4—22no—
262C3×C4⋊C4—21no—
263C3×C4⋊C4—21no—
264C3×C4⋊C4—21no—
265C3×C4⋊C4—21no—
266C3×C4⋊C4—21no—
267C3×C4⋊C4—42no—
268C3×C4⋊C4—81no—
269C3×C4⋊C4#4112yes—
270C3×C22⋊C4—24no—
271C3×C22⋊C4—22no—
272C3×C22⋊C4—22no—
273C3×C22⋊C4—81no—
274C3×C42—21no—
275C3×C42—21no—
276C3×C42—42no—
277C3×C42—81no—
278C3×C42C2×D412yes—
279C3×C42C2×D412yes—
280#217—24no—
281#216—28no—
282#215—28no—
283(C2×D3)⋊C4—24no—
284(C2×D3)⋊C4—24no—
285(C2×D3)⋊C4—24no—
286(C2×D3)⋊C4—24no—
287C4⋊Dic3—24no—
288C4⋊Dic3—21no—
289C4⋊Dic3—21no—
290C4⋊Dic3C2×D412yes—
291C4⋊Dic3C2×D412yes—
292Dic3⋊C4—24no—
293Dic3⋊C4—24no—
294C4×Dic3—24no—
295C2×C3⋊C8—21no—
296C2×C3⋊C8—21no—
297C2×C3⋊C8—21no—
298C2×C3⋊C8—21no—
299C2×C3⋊C8—21no—
300C2×C3⋊C8—21no—
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—61no—
309C22×Q8C22×D311yescharacteristic
310C22×D4—31no—
311C22×D4—61no—
312C23×C4—61no—
313C23×C4C22×D311yescharacteristic
314C2×Q16—62no—
315C2×Q16—62no—
316C2×Q16—62no—
317C2×SD16—62no—
318C2×SD16—62no—
319C2×SD16—62no—
320C22×C8—31no—
321C22×C8—31no—
322C22×C8—31no—
323C22×C8—31no—
324C4⋊Q8—62no—
325C4⋊Q8—62no—
326#126—68no—
327#124—62no—
328#124—62no—
329#124—68no—
330#123—68no—
331C22⋊Q8—22no—
332C22⋊Q8—22no—
333C22⋊Q8—68no—
334C22⋊Q8—62no—
335C22⋊Q8—62no—
336#121—62no—
337#121—62no—
338C4×Q8—22no—
339C4×Q8—22no—
340C4×Q8—34no—
341C4×Q8—62no—
342C4×D4—34no—
343C4×D4—62no—
344#117—22no—
345#117—22no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—31no—
350C2×C4⋊C4—31no—
351C2×C4⋊C4—61no—
352C2×C4⋊C4—61no—
353C2×C4⋊C4—61no—
354C2×C4⋊C4#6711yescharacteristic
355C2×C4⋊C4#6711yescharacteristic
356C2×C4⋊C4C22×D311yescharacteristic
357C2×C4⋊C4C22×D311yescharacteristic
358C2×C4⋊C4C22×D311yescharacteristic
359C2×C22⋊C4—21no—
360C2×C22⋊C4—21no—
361C2×C22⋊C4—61no—
362C2×C22⋊C4—61no—
363C2×C22⋊C4—61no—
364C2×C22⋊C4—61no—
365C2×C22⋊C4—61no—
366C2×C22⋊C4#6711yescharacteristic
367C2×C22⋊C4#6711yescharacteristic
368C2×C42—21no—
369C2×C42—21no—
370C2×C42—61no—
371C2×C42C22×D311yescharacteristic
372C2×C42C22×D311yescharacteristic
373#107—62no—
374#107—62no—
375#103—62no—
376#103—62no—
377#103—62no—
378#103—62no—
379#103—62no—
380#102—62no—
381#102—62no—
382#102—62no—
383C22⋊C8—62no—
384C22⋊C8—62no—
385#97—62no—
386C4×C8—62no—
387#95—21no—
388#95—21no—
389#95—21no—
390#95—21no—
391#95—21no—
392C23×C3—21no—
393C23×C3—21no—
394C23×C3—21no—
395C23×C3—21no—
396C23×C3—21no—
397C23×C3—21no—
398C23×C3—21no—
399C23×C3C22×D411yescharacteristic
400C22×D3—22no—
401C22×D3—41no—
402C22×D3—41no—
403C22×D3—41no—
404C22×D3—41no—
405C22×D3—41no—
406C22×D3—41no—
407C3×Q8—22no—
408C3×Q8—22no—
409C3×Q8—41no—
410C3×Q8—41no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—22no—
419C2×C3×C4—22no—
420C2×C3×C4—21no—
421C2×C3×C4—21no—
422C2×C3×C4—21no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4—21no—
426C2×C3×C4—41no—
427C2×C3×C4—41no—
428C2×C3×C4—41no—
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×C4—41no—
437C2×C3×C4—41no—
438C2×C3×C4—41no—
439C2×C3×C4—41no—
440C2×C3×C4#12012yes—
441C2×C3×C4#12012yes—
442C2×C3×C4C22×D411yescharacteristic
443C2×C3×C4C22×D411yescharacteristic
444C2×C3×C4C2×#4111yescharacteristic
445C2×C3×C4C2×#4111yescharacteristic
446C2×C3×C4C2×#4111yescharacteristic
447C2×C3×C4C2×#4111yescharacteristic
448#67—84no—
449C2×Dic3—22no—
450C2×Dic3—22no—
451C2×Dic3—22no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454C2×Dic3—41no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457C2×Dic3—41no—
458D12—22no—
459D12—22no—
460D12—41no—
461D12—41no—
462C4×D3—84no—
463Dic6—22no—
464Dic6—22no—
465Dic6—41no—
466Dic6—41no—
467Dic6—84no—
468C3⋊C8—22no—
469C3⋊C8—22no—
470C3⋊C8—41no—
471C3⋊C8—41no—
472C24—61no—
473C24C2×#6711yescharacteristic
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—32no—
480C2×Q8—64no—
481C2×Q8—61no—
482C2×Q8—61no—
483C2×Q8—61no—
484C2×Q8—61no—
485C2×Q8—61no—
486C2×Q8—241no—
487C2×Q8—241no—
488C2×Q8#23512yes—
489C2×D4—32no—
490C2×D4—64no—
491C2×D4—61no—
492C2×D4—61no—
493C2×D4—61no—
494C2×D4—61no—
495C2×D4—61no—
496C2×D4—241no—
497C2×D4—241no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—61no—
509C22×C4—61no—
510C22×C4—61no—
511C22×C4—64no—
512C22×C4—241no—
513C22×C4—241no—
514C22×C4C2×#6711yescharacteristic
515C22×C4C2×#6711yescharacteristic
516C22×C4C2×#6711yescharacteristic
517C22×C4C2×#6711yescharacteristic
518C22×C4C2×#6711yescharacteristic
519C22×C4C23×D311yescharacteristic
520Q16—68no—
521SD16—68no—
522C2×C8—32no—
523C2×C8—32no—
524C2×C8—61no—
525C2×C8—61no—
526C2×C8—61no—
527C2×C8—61no—
528C2×C8—61no—
529C2×C8—61no—
530C2×C8—61no—
531C2×C8—61no—
532C2×C8—61no—
533C2×C8—61no—
534C4⋊C4—24no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—32no—
543C4⋊C4—32no—
544C4⋊C4—42no—
545C4⋊C4—64no—
546C4⋊C4—64no—
547C4⋊C4—64no—
548C4⋊C4—61no—
549C4⋊C4—61no—
550C4⋊C4—81no—
551C4⋊C4#23512yes—
552C22⋊C4—24no—
553C22⋊C4—22no—
554C22⋊C4—22no—
555C22⋊C4—64no—
556C22⋊C4—64no—
557C22⋊C4—64no—
558C22⋊C4—64no—
559C22⋊C4—64no—
560C22⋊C4—81no—
561C42—21no—
562C42—21no—
563C42—42no—
564C42—64no—
565C42—81no—
566C42D3×D412yes—
567C42D3×D412yes—
568C22×C3—41no—
569C22×C3—41no—
570C22×C3—41no—
571C22×C3—41no—
572C22×C3—41no—
573C22×C3—41no—
574C22×C3—41no—
575C22×C3C2×#12011yescharacteristic
576C22×C3#52511yescharacteristic
577C22×C3#53211yescharacteristic
578C22×C3#57611yescharacteristic
579C22×C3#57711yescharacteristic
580C22×C3#57811yescharacteristic
581C22×C3#57811yescharacteristic
582C2×D3—42no—
583C2×D3—42no—
584C2×D3—42no—
585C2×D3—81no—
586C2×D3—81no—
587C2×D3—81no—
588C2×D3—81no—
589C3×C4—22no—
590C3×C4—22no—
591C3×C4—42no—
592C3×C4—41no—
593C3×C4—42no—
594C3×C4—41no—
595C3×C4—41no—
596C3×C4—81no—
597C3×C4—81no—
598C3×C4#52511yescharacteristic
599C3×C4#52511yescharacteristic
600C3×C4#53211yescharacteristic
601C3×C4#53211yescharacteristic
602Dic3—42no—
603Dic3—42no—
604Dic3—42no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—62no—
613C23—121no—
614C23—121no—
615C23—121no—
616C23—121no—
617C23—121no—
618C23—121no—
619C23C22×#6711yescharacteristic
620Q8—22no—
621Q8—22no—
622Q8—41no—
623Q8—41no—
624Q8—62no—
625Q8—62no—
626Q8—121no—
627Q8—121no—
628Q8—244no—
629D4—62no—
630D4—62no—
631D4—121no—
632D4—121no—
633D4—244no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—62no—
664C2×C4—62no—
665C2×C4—62no—
666C2×C4—121no—
667C2×C4—121no—
668C2×C4—121no—
669C2×C4—121no—
670C2×C4—121no—
671C2×C4—121no—
672C2×C4—244no—
673C2×C4#93712yes—
674C2×C4#93712yes—
675C2×C4C2×#23511yescharacteristic
676C2×C4C2×#23511yescharacteristic
677C2×C4C2×D3×D411yescharacteristic
678C2×C4C2×D3×D411yescharacteristic
679C2×C4D3×#4111yescharacteristic
680C2×C4D3×#4111yescharacteristic
681C8—62no—
682C8—62no—
683C8—121no—
684C8—121no—
685C2×C3—81no—
686C2×C3#238811yescharacteristic
687C2×C3#301111yescharacteristic
688C2×C3#301211yescharacteristic
689C2×C3#312111yescharacteristic
690C2×C3#312411yescharacteristic
691C2×C3#317511yescharacteristic
692C2×C3#317811yescharacteristic
693D3—82no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—122no—
702C22—122no—
703C22—122no—
704C22—241no—
705C22—241no—
706C22—241no—
707C22—241no—
708C22#579111yescharacteristic
709C22C2×#93711yescharacteristic
710C22#583211yescharacteristic
711C22#583511yescharacteristic
712C22#583711yescharacteristic
713C22#583811yescharacteristic
714C22#583811yescharacteristic
715C4—22no—
716C4—22no—
717C4—42no—
718C4—41no—
719C4—41no—
720C4—42no—
721C4—41no—
722C4—81no—
723C4—81no—
724C4—122no—
725C4—122no—
726C4—122no—
727C4#554711yescharacteristic
728C4#554711yescharacteristic
729C4#554811yescharacteristic
730C4#554811yescharacteristic
731C3#2358511yescharacteristic, complemented, Sylow
732C2—81no—
733C2—242no—
734C2#8240011yescharacteristic
735C2#8255211yescharacteristic
736C2#8256911yescharacteristic
737C2#8341111yescharacteristic
738C2#8342411yescharacteristic
739C2#8344511yescharacteristic
740C2#8345711yescharacteristic
subgroupG/H
centerC23C22×#67
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2323C2
socleC23×C3C22×D4
prime radicalC2×#930C22
hypercenter#2323D3
hypocenterC3#23585
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2323

Complements

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

NH ≅ G/Ntype
2. C3×#2323C2semidirect
3. C2×#5026C2semidirect
4. C2×C4×#216C2semidirect
5. #71700C2semidirect
7. #71582C2semidirect
8. #69689C2semidirect
9. #69668C2semidirect
10. #69628C2semidirect
11. #69604C2semidirect
12. #69527C2semidirect
14. #69475C2semidirect
15. C4×#809C2semidirect
67. #2323D3semidirect
731. C3#23585semidirect

Maximal subgroups

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

subgroupindex
C2×#55342
C3×#23232
C2×#50262
C2×C4×#2162
#717002
#716992
#715822
#696892
#696682
#696282
#696042
#695272
#695232
#694752
C4×#8092
#235853