Finite Group Databasebeta

← #10795296

Subgroups — #10795296

Order 768.

1298 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5574C211yesmaximal, characteristic
2C2×#4840C211yesmaximal, characteristic, complemented
3#74358C211yesmaximal, characteristic, complemented
4C3×#1803C211yesmaximal, characteristic, complemented
5#71627C211yesmaximal, characteristic, complemented
6#70480C211yesmaximal, characteristic, complemented
7#70267C211yesmaximal, characteristic
8#70267C211yesmaximal, characteristic
9#70220C211yesmaximal, characteristic, complemented
10Dic3×#103C211yesmaximal, characteristic, complemented
11#69584C211yesmaximal, characteristic, complemented
12#68872C211yesmaximal, characteristic, complemented
13#68871C211yesmaximal, characteristic, complemented
14#68782C211yesmaximal, characteristic, complemented
15#68780C211yesmaximal, characteristic, complemented
16#20746—31nomaximal, Sylow
17C22×#239C2211yescharacteristic
18C2×C3×C4×Q8C2211yescharacteristic
19C2×Q8×Dic3C2211yescharacteristic
20#5574—24no—
21#5574C418yescomplemented
22C2×#893—21no—
23C2×#893C2211yescharacteristic
24C2×D3×C4⋊C4—21no—
25C2×D3×C4⋊C4C2211yescharacteristic
26C2×C4×D12—21no—
27C2×C4×D12C2211yescharacteristic
28C2×#872—21no—
29C2×#872C2211yescharacteristic
30C2×C3×C4⋊C8C2211yescharacteristic
31C2×C3×#103C2211yescharacteristic
32C2×C3×#103C2211yescharacteristic
33C3×#384C2211yescharacteristic
34C2×#835C2211yescharacteristic
35C2×#835C2211yescharacteristic
36C2×#821C2211yescharacteristic
37C2×#821C2211yescharacteristic
38C2×(C2×D3)⋊C8C2211yescharacteristic
39C2×(C2×D3)⋊C8C2211yescharacteristic
40C2×#815C2211yescharacteristic
41C2×C8×Dic3C2211yescharacteristic
42#4990—21no—
43#4990—21no—
44#4987C2211yescharacteristic
45#4987C2211yescharacteristic
46#4978—21no—
47#4978—21no—
48Dic3×C4⋊C4C2211yescharacteristic
49Dic3×C4⋊C4C2211yescharacteristic
50C2×#809C2211yescharacteristic
51C2×#809C2211yescharacteristic
52#4936C2211yescharacteristic
53C2×C4⋊(C3⋊C8)C2211yescharacteristic
54#4840—24no—
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57#4551C2211yescharacteristic
58#4551C2211yescharacteristic
59#4529C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63C2×#520—31no—
64C2×#433—31no—
65#2314—31no—
66#1824—31no—
67#1823—31no—
68#1805—31no—
69#1804—31no—
70#1803D311yescharacteristic, complemented
71#1802—31no—
72#1788—31no—
73#1788—31no—
74#1763—31no—
75#1762—31no—
76C4×#103—31no—
77C4×#102—31no—
78C22×C3×Q8C2311yescharacteristic
79C2×#239—22no—
80C2×#239—22no—
81C2×#239—22no—
82C2×#239—22no—
83C2×#239—22no—
84C2×#239C2×C414yes—
85C22×D12—21no—
86C22×D12C2311yescharacteristic
87C22×C4×D3—21no—
88C22×C4×D3—21no—
89C22×C4×D3—21no—
90C22×C4×D3—21no—
91C22×C4×D3C2311yescharacteristic
92C22×C3×C8C2311yescharacteristic
93C22×C3×C8C2311yescharacteristic
94C3×C4×Q8—22no—
95C3×C4×Q8C2×C414yes—
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C4⋊C4C2311yescharacteristic
100C2×C3×C4⋊C4C2311yescharacteristic
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C42—21no—
103C2×C3×C42C2311yescharacteristic
104Q8×Dic3—22no—
105Q8×Dic3C2×C414yes—
106C2×(C2×D3)⋊C4—21no—
107C2×(C2×D3)⋊C4—21no—
108C2×(C2×D3)⋊C4—21no—
109C2×(C2×D3)⋊C4—21no—
110C2×(C2×D3)⋊C4D411yescharacteristic
111C2×(C2×D3)⋊C4D411yescharacteristic
112C2×C4⋊Dic3—21no—
113C2×C4⋊Dic3C2311yescharacteristic
114C2×C4⋊Dic3C2311yescharacteristic
115C2×C4⋊Dic3C2311yescharacteristic
116C2×Dic3⋊C4—21no—
117C2×Dic3⋊C4D411yescharacteristic
118C2×Dic3⋊C4D411yescharacteristic
119C2×C4×Dic3—21no—
120C2×C4×Dic3—21no—
121C2×C4×Dic3—21no—
122C2×C4×Dic3C2311yescharacteristic
123C22×C3⋊C8C2311yescharacteristic
124C22×C3⋊C8C2311yescharacteristic
125#893—28no—
126#893—22no—
127#893C2×C414yes—
128D3×C4⋊C4—22no—
129D3×C4⋊C4—28no—
130D3×C4⋊C4C2×C414yes—
131C4×D12—22no—
132C4×D12—28no—
133C4×D12C2×C414yes—
134#872—28no—
135#872C2×C414yes—
136#872D414yes—
137C3×C4⋊C8—22no—
138C3×#103—22no—
139C3×#103—22no—
140#835—22no—
141#835—22no—
142C3⋊#95—21no—
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#815—22no—
153C8×Dic3—22no—
154#809—22no—
155#809—22no—
156C4⋊(C3⋊C8)—22no—
157C22×#41—31no—
158#520—38no—
159#520—64no—
160C2×C4×Q8—31no—
161C2×C4×Q8C2×D311yescharacteristic
162C2×C4×D4—31no—
163C2×C4×D4—31no—
164C2×C4×D4—61no—
165C2×C4×D4—61no—
166C2×#117—31no—
167C2×#117—61no—
168C22×C4⋊C4—31no—
169C22×C4⋊C4—61no—
170#433—64no—
171C2×C4⋊C8—31no—
172C2×C4⋊C8C2×D311yescharacteristic
173C2×#103—31no—
174C2×#103—31no—
175C2×#103C2×D311yescharacteristic
176C2×#103C2×D311yescharacteristic
177C2×#102—31no—
178C2×#102—31no—
179C2×#102—31no—
180C2×#102—31no—
181C2×C22⋊C8—31no—
182C2×C22⋊C8—31no—
183C2×#97—31no—
184C2×C4×C8—31no—
185#388—61no—
186#388—61no—
187#387—61no—
188#387—61no—
189#384C2×D311yescharacteristic
190#382—31no—
191#380—31no—
192#380—31no—
193C4×C4⋊C4—31no—
194C4×C4⋊C4—31no—
195#340—31no—
196#340—31no—
197#340—31no—
198#340—31no—
199#340—31no—
200#340—31no—
201#340C2×D311yescharacteristic
202#340C2×D311yescharacteristic
203C23×D3—21no—
204C23×D3C2×D411yescharacteristic
205C2×C3×Q8—21no—
206C2×C3×Q8—21no—
207C2×C3×Q8—21no—
208C2×C3×Q8C22×C412yes—
209C2×C3×Q8#4112yes—
210C2×C3×Q8#4112yes—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4C2×D411yescharacteristic
216C22×C3×C4C2×D411yescharacteristic
217C22×C3×C4C2411yescharacteristic
218C22×Dic3—21no—
219C22×Dic3—21no—
220C22×Dic3—21no—
221C22×Dic3C2×D411yescharacteristic
222C22×Dic3C2×D411yescharacteristic
223C22×Dic3C2×D411yescharacteristic
224#239—28no—
225#239—28no—
226#239—28no—
227#239—28no—
228C2×D12—24no—
229C2×D12—24no—
230C2×D12—24no—
231C2×D12—21no—
232C2×D12—21no—
233C2×D12—21no—
234C2×D12C22×C412yes—
235C2×D12#4112yes—
236C2×D12#4112yes—
237C2×C4×D3—24no—
238C2×C4×D3—24no—
239C2×C4×D3—21no—
240C2×C4×D3—21no—
241C2×C4×D3—21no—
242C2×C4×D3—21no—
243C2×C4×D3—24no—
244C2×C4×D3—24no—
245C2×C4×D3—24no—
246C2×C4×D3—24no—
247C2×C4×D3—81no—
248C2×C4×D3—81no—
249C2×C4×D3—81no—
250C2×C4×D3—81no—
251C2×C4×D3—81no—
252C2×C4×D3—81no—
253C2×C4×D3C22×C412yes—
254C2×C4×D3C2×D412yes—
255C2×C3×C8—21no—
256C2×C3×C8—21no—
257C2×C3×C8—21no—
258C2×C3×C8—21no—
259C2×C3×C8—21no—
260C2×C3×C8—21no—
261C3×C4⋊C4—24no—
262C3×C4⋊C4—21no—
263C3×C4⋊C4—21no—
264C3×C4⋊C4—21no—
265C3×C4⋊C4—21no—
266C3×C4⋊C4—21no—
267C3×C4⋊C4—81no—
268C3×C4⋊C4—81no—
269C3×C4⋊C4C22×C412yes—
270C3×C42—24no—
271C3×C42C22×C412yes—
272C3×C42C2×D412yes—
273(C2×D3)⋊C4—24no—
274(C2×D3)⋊C4—24no—
275(C2×D3)⋊C4—81no—
276(C2×D3)⋊C4—81no—
277(C2×D3)⋊C4C22⋊C414yes—
278(C2×D3)⋊C4C22⋊C414yes—
279C4⋊Dic3—21no—
280C4⋊Dic3—24no—
281C4⋊Dic3—21no—
282C4⋊Dic3—21no—
283C4⋊Dic3—21no—
284C4⋊Dic3—21no—
285C4⋊Dic3C22×C412yes—
286Dic3⋊C4—24no—
287Dic3⋊C4C22⋊C414yes—
288Dic3⋊C4C22⋊C414yes—
289C4×Dic3—24no—
290C4×Dic3—81no—
291C4×Dic3—81no—
292C4×Dic3C22×C412yes—
293C4×Dic3C2×D412yes—
294C2×C3⋊C8—21no—
295C2×C3⋊C8—21no—
296C2×C3⋊C8—21no—
297C2×C3⋊C8—21no—
298C2×C3⋊C8—21no—
299C2×C3⋊C8—21no—
300C2×#41—34no—
301C2×#41—62no—
302C2×#41—62no—
303C2×#41—62no—
304C2×#41—62no—
305C2×#41—62no—
306C22×Q8C22×D311yescharacteristic
307C22×D4—31no—
308C22×D4—61no—
309C23×C4—31no—
310C23×C4—61no—
311C23×C4—61no—
312C23×C4—61no—
313C23×C4—61no—
314C22×C8—31no—
315C22×C8—31no—
316C22×C8C22×D311yescharacteristic
317C22×C8C22×D311yescharacteristic
318C4×Q8—22no—
319C4×Q8—34no—
320C4×Q8—62no—
321C4×Q8C4×D314yes—
322C4×D4—34no—
323C4×D4—34no—
324C4×D4—68no—
325C4×D4—62no—
326C4×D4—68no—
327C4×D4—62no—
328#117—34no—
329#117—34no—
330#117—68no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—31no—
335C2×C4⋊C4—31no—
336C2×C4⋊C4—31no—
337C2×C4⋊C4—34no—
338C2×C4⋊C4—31no—
339C2×C4⋊C4—31no—
340C2×C4⋊C4—68no—
341C2×C4⋊C4—62no—
342C2×C4⋊C4—61no—
343C2×C4⋊C4—61no—
344C2×C4⋊C4C22×D311yescharacteristic
345C2×C4⋊C4C22×D311yescharacteristic
346C2×C4⋊C4C22×D311yescharacteristic
347C2×C22⋊C4—31no—
348C2×C22⋊C4—31no—
349C2×C22⋊C4—61no—
350C2×C22⋊C4—61no—
351C2×C22⋊C4—61no—
352C2×C22⋊C4—61no—
353C2×C42—21no—
354C2×C42—31no—
355C2×C42—61no—
356C2×C42—61no—
357C2×C42—61no—
358C2×C42C22×D311yescharacteristic
359C4⋊C8—22no—
360C4⋊C8—62no—
361#103—22no—
362#103—22no—
363#103—62no—
364#103—62no—
365#102—62no—
366#102—62no—
367#102—62no—
368#102—62no—
369C22⋊C8—62no—
370C22⋊C8—62no—
371#97—62no—
372C4×C8—62no—
373#95—61no—
374#95—61no—
375#95—61no—
376#95—61no—
377#95—61no—
378#95—61no—
379C23×C3C22×D411yescharacteristic
380C22×D3—22no—
381C22×D3—21no—
382C22×D3—21no—
383C22×D3—22no—
384C22×D3—22no—
385C22×D3—21no—
386C22×D3—21no—
387C22×D3—21no—
388C22×D3—21no—
389C22×D3—41no—
390C22×D3—41no—
391C22×D3—41no—
392C22×D3—41no—
393C22×D3C2×C22⋊C412yes—
394C3×Q8—22no—
395C3×Q8—22no—
396C3×Q8—22no—
397C3×Q8#11714yes—
398C2×C3×C4—22no—
399C2×C3×C4—22no—
400C2×C3×C4—22no—
401C2×C3×C4—21no—
402C2×C3×C4—21no—
403C2×C3×C4—21no—
404C2×C3×C4—21no—
405C2×C3×C4—22no—
406C2×C3×C4—41no—
407C2×C3×C4—41no—
408C2×C3×C4—41no—
409C2×C3×C4—41no—
410C2×C3×C4—41no—
411C2×C3×C4—41no—
412C2×C3×C4—41no—
413C2×C3×C4—41no—
414C2×C3×C4C2×C22⋊C412yes—
415C2×C3×C4C2×C22⋊C412yes—
416C2×C3×C4C23×C411yescharacteristic
417C2×C3×C4C22×D411yescharacteristic
418C2×C3×C4C2×#4111yescharacteristic
419C2×C3×C4C2×#4111yescharacteristic
420C2×C3×C4C2×#4111yescharacteristic
421C2×C3×C4C2×#4111yescharacteristic
422C2×Dic3—21no—
423C2×Dic3—21no—
424C2×Dic3—21no—
425C2×Dic3—21no—
426C2×Dic3—21no—
427C2×Dic3—21no—
428C2×Dic3—22no—
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×Dic3C2×C22⋊C412yes—
438C2×Dic3C2×C22⋊C412yes—
439C2×Dic3C2×C22⋊C412yes—
440D12—216no—
441D12—22no—
442D12—22no—
443D12—22no—
444D12#11714yes—
445C4×D3—216no—
446C4×D3—22no—
447C4×D3—22no—
448C4×D3—22no—
449C4×D3—22no—
450C4×D3—84no—
451C4×D3—84no—
452C4×D3—84no—
453C3×C8—41no—
454C3×C8—41no—
455C3⋊C8—41no—
456C3⋊C8—41no—
457C24—31no—
458C24—61no—
459#41—68no—
460#41—68no—
461#41—68no—
462#41—68no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8C2×C4×D312yes—
467C2×Q8#23712yes—
468C2×Q8#23912yes—
469C2×D4—32no—
470C2×D4—32no—
471C2×D4—32no—
472C2×D4—64no—
473C2×D4—64no—
474C2×D4—64no—
475C2×D4—61no—
476C2×D4—61no—
477C2×D4—61no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—31no—
483C22×C4—31no—
484C22×C4—31no—
485C22×C4—32no—
486C22×C4—32no—
487C22×C4—64no—
488C22×C4—64no—
489C22×C4—64no—
490C22×C4—64no—
491C22×C4—64no—
492C22×C4—61no—
493C22×C4—61no—
494C22×C4—61no—
495C22×C4—61no—
496C22×C4—61no—
497C22×C4—64no—
498C22×C4—61no—
499C22×C4—61no—
500C22×C4—241no—
501C22×C4—241no—
502C22×C4—241no—
503C22×C4—241no—
504C22×C4—241no—
505C22×C4—241no—
506C22×C4D3×D411yescharacteristic
507C22×C4D3×D411yescharacteristic
508C22×C4C23×D311yescharacteristic
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—61no—
516C2×C8—61no—
517C2×C8—61no—
518C2×C8—61no—
519C2×C8—61no—
520C2×C8—61no—
521C4⋊C4—24no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—34no—
528C4⋊C4—34no—
529C4⋊C4—32no—
530C4⋊C4—64no—
531C4⋊C4—64no—
532C4⋊C4—61no—
533C4⋊C4—61no—
534C4⋊C4—61no—
535C4⋊C4—61no—
536C4⋊C4—61no—
537C4⋊C4—81no—
538C4⋊C4—81no—
539C4⋊C4C2×C4×D312yes—
540C22⋊C4—34no—
541C22⋊C4—34no—
542C22⋊C4—64no—
543C22⋊C4—64no—
544C22⋊C4—241no—
545C22⋊C4—241no—
546C42—24no—
547C42—32no—
548C42—32no—
549C42—64no—
550C42—241no—
551C42—241no—
552C42C2×C4×D312yes—
553C42D3×D412yes—
554C22×C3C22×C22⋊C411yescharacteristic
555C22×C3#52511yescharacteristic
556C22×C3#52511yescharacteristic
557C22×C3#57611yescharacteristic
558C22×C3#57711yescharacteristic
559C22×C3#57711yescharacteristic
560C22×C3#57811yescharacteristic
561C2×D3—22no—
562C2×D3—22no—
563C2×D3—22no—
564C2×D3—24no—
565C2×D3—41no—
566C2×D3—42no—
567C2×D3—41no—
568C2×D3—42no—
569C2×D3—41no—
570C2×D3—42no—
571C2×D3—41no—
572C2×D3—42no—
573C2×D3—42no—
574C2×D3—42no—
575C3×C4—22no—
576C3×C4—22no—
577C3×C4—24no—
578C3×C4—42no—
579C3×C4—81no—
580C3×C4—81no—
581C3×C4C2×#11711yescharacteristic
582C3×C4C2×#11711yescharacteristic
583C3×C4#52511yescharacteristic
584C3×C4#52511yescharacteristic
585Dic3—22no—
586Dic3—22no—
587Dic3—22no—
588Dic3—42no—
589Dic3—81no—
590Dic3—81no—
591C23—32no—
592C23—62no—
593C23—61no—
594C23—61no—
595C23—61no—
596C23—61no—
597C23—62no—
598C23—61no—
599C23—62no—
600C23—61no—
601C23—121no—
602C23—121no—
603C23—121no—
604C23—121no—
605C23C2×D3×D411yescharacteristic
606Q8—22no—
607Q8—22no—
608Q8—22no—
609Q8#89214yes—
610D4—34no—
611D4—616no—
612D4—62no—
613D4—62no—
614D4—62no—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—32no—
624C2×C4—32no—
625C2×C4—32no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—616no—
635C2×C4—61no—
636C2×C4—61no—
637C2×C4—61no—
638C2×C4—61no—
639C2×C4—61no—
640C2×C4—61no—
641C2×C4—62no—
642C2×C4—62no—
643C2×C4—62no—
644C2×C4—62no—
645C2×C4—62no—
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—244no—
657C2×C4D3×C22⋊C412yes—
658C2×C4D3×C22⋊C412yes—
659C2×C4C22×C4×D311yescharacteristic
660C2×C4C2×D3×D411yescharacteristic
661C2×C4C2×#23711yescharacteristic
662C2×C4C2×#23911yescharacteristic
663C2×C4D3×#4111yescharacteristic
664C2×C4D3×#4111yescharacteristic
665C8—41no—
666C8—41no—
667C8—121no—
668C8—121no—
669C2×C3#228011yescharacteristic
670C2×C3#289711yescharacteristic
671C2×C3#289811yescharacteristic
672C2×C3#311911yescharacteristic
673C2×C3#312011yescharacteristic
674C2×C3#312411yescharacteristic
675C2×C3#312511yescharacteristic
676D3—42no—
677D3—44no—
678C22—62no—
679C22—64no—
680C22—62no—
681C22—62no—
682C22—122no—
683C22—121no—
684C22—122no—
685C22—121no—
686C22—122no—
687C22—122no—
688C22—121no—
689C22—122no—
690C22—121no—
691C22—122no—
692C22C2×D3×C22⋊C411yescharacteristic
693C22#560611yescharacteristic
694C22#562711yescharacteristic
695C22#576211yescharacteristic
696C22#576611yescharacteristic
697C22#577411yescharacteristic
698C22#577811yescharacteristic
699C4—22no—
700C4—24no—
701C4—22no—
702C4—42no—
703C4—62no—
704C4—62no—
705C4—62no—
706C4—81no—
707C4—81no—
708C4—122no—
709C4—241no—
710C4—241no—
711C4C2×#89211yescharacteristic
712C4D3×#11711yescharacteristic
713C4#560611yescharacteristic
714C4#562711yescharacteristic
715C3#2074611yescharacteristic, complemented, Sylow
716C2—122no—
717C2—124no—
718C2#7386211yescharacteristic
719C2#7879011yescharacteristic
720C2#7888211yescharacteristic
721C2#8036411yescharacteristic
722C2#8046011yescharacteristic
723C2#8100111yescharacteristic
724C2#8109711yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#1803C2
socleC23×C3C22×D4
prime radicalC22×#239C22
cosocleC22×C3×C4C24
hypercenter#1803D3
hypocenterC3#20746
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1803

Complements

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

NH ≅ G/Ntype
2. C2×#4840C2semidirect
3. #74358C2semidirect
4. C3×#1803C2semidirect
5. #71627C2semidirect
6. #70480C2semidirect
9. #70220C2semidirect
10. Dic3×#103C2semidirect
11. #69584C2semidirect
12. #68872C2semidirect
13. #68871C2semidirect
14. #68782C2semidirect
15. #68780C2semidirect
21. #5574C4semidirect
70. #1803D3semidirect
715. C3#20746semidirect

Maximal subgroups

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

subgroupindex
C2×#55742
C2×#48402
#743582
C3×#18032
#716272
#704802
#702672
#702202
Dic3×#1032
#695842
#688722
#688712
#687822
#687802
#207463