Finite Group Databasebeta

← #10972883

Subgroups — #10972883

Order 768.

2378 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5624C211yesmaximal, characteristic
2C22×C4×Dic6C211yesmaximal, characteristic, complemented
3C3×#2855C211yesmaximal, characteristic, complemented
4#82810C211yesmaximal, characteristic, complemented
5#82080C211yesmaximal, characteristic
6#76555C212yesmaximal, complemented
7#76548C212yesmaximal, complemented
8#76078C212yesmaximal, complemented
9#76059C212yesmaximal, complemented
10#75378C214yesmaximal, complemented
11#74947C214yesmaximal, complemented
12#74407C212yesmaximal, complemented
13#74405C212yesmaximal, complemented
14#74075C212yesmaximal, complemented
15#74064C212yesmaximal, complemented
16#73999C211yesmaximal, characteristic
17#73864C211yesmaximal, characteristic, complemented
18#35247—31nomaximal, Sylow
19C23×Dic6C2211yescharacteristic
20C2×C3×C22⋊Q8C2211yescharacteristic
21C22×C3×C42C2211yescharacteristic
22C2×#947C2211yescharacteristic
23C2×Q8×Dic3C2211yescharacteristic
24C2×#930C2211yescharacteristic
25C2×#929C2212yes—
26C22×C4⋊Dic3C2211yescharacteristic
27C22×Dic3⋊C4C2211yescharacteristic
28C22×Dic3⋊C4C2211yescharacteristic
29C22×C4×Dic3C2211yescharacteristic
30C22×C4×Dic3C2211yescharacteristic
31#5624—28no—
32C2×#898C2212yes—
33C2×#896C2214yes—
34C2×#893C2211yescharacteristic
35C2×#892C2212yes—
36C2×#890C2211yescharacteristic
37C2×#886C2212yes—
38C2×#886C2212yes—
39C2×#67⋊C4C2212yes—
40C2×#877C2212yes—
41C2×C4×Dic6—28no—
42C2×C4×Dic6C2212yes—
43C2×C4×Dic6C2212yes—
44C2×C4×Dic6C2212yes—
45C2×C4×Dic6C2212yes—
46C3×#391C2212yes—
47C3×#389C2212yes—
48C3×#387C2214yes—
49C3×#385C2212yes—
50C3×#381C2212yes—
51C3×#380C2211yescharacteristic
52#5229C2212yes—
53#5213C2212yes—
54#5212C2211yescharacteristic
55#4994C2214yes—
56#4988C2212yes—
57#4984C2212yes—
58#4984C2214yes—
59#4979C2214yes—
60#4978C2214yes—
61#4975C2212yes—
62Dic3×C4⋊C4C2212yes—
63#4972C2212yes—
64#4958C2212yes—
65#4946C2212yes—
66#4943C2212yes—
67#4942C2212yes—
68#4940C2214yes—
69#4939C2212yes—
70#4928C2212yes—
71#4676C2214yes—
72#4675C2214yes—
73#4673C2214yes—
74#4670C2214yes—
75#4670C2214yes—
76#4669C2214yes—
77#4667C2214yes—
78#4661C2214yes—
79#4657C2214yes—
80#4657C2214yes—
81#4650C2212yes—
82#4649C2212yes—
83#4647C2214yes—
84#4647C2214yes—
85#4646C2214yes—
86C2×#529—31no—
87C22×C4×Q8—31no—
88#2855—31no—
89#2855D311yescharacteristic, complemented
90#2854—31no—
91#2854—31no—
92#2637—34no—
93#2592—32no—
94#2584—32no—
95#2582—32no—
96#2538—32no—
97#2486—32no—
98#2413—32no—
99#2413—32no—
100#2409—32no—
101#2323—34no—
102#2285—31no—
103C22×C3×Q8C2311yescharacteristic
104C23×C3×C4C2311yescharacteristic
105C23×C3×C4C2311yescharacteristic
106C23×C3×C4C2311yescharacteristic
107C22×#67C2312yes—
108C23×Dic3C2311yescharacteristic
109C23×Dic3C2311yescharacteristic
110C23×Dic3C2311yescharacteristic
111C23×Dic3C2311yescharacteristic
112C22×D12C2311yescharacteristic
113C22×C4×D3C2312yes—
114C22×Dic6—24no—
115C22×Dic6—28no—
116C22×Dic6C2312yes—
117C22×Dic6C2312yes—
118C3×C22⋊Q8—24no—
119C2×C3×C4⋊C4C2311yescharacteristic
120C2×C3×C4⋊C4C2312yes—
121C2×C3×C4⋊C4C2312yes—
122C2×C3×C4⋊C4C2314yes—
123C2×C3×C22⋊C4C2312yes—
124C2×C3×C22⋊C4C2312yes—
125C2×C3×C42—24no—
126C2×C3×C42C2312yes—
127C2×C3×C42C2312yes—
128C2×#217C2312yes—
129#947—24no—
130Q8×Dic3—24no—
131#930—24no—
132#929—44no—
133C2×(C2×D3)⋊C4C2312yes—
134C2×(C2×D3)⋊C4C2314yes—
135C2×(C2×D3)⋊C4C2312yes—
136C2×(C2×D3)⋊C4C2314yes—
137C2×(C2×D3)⋊C4C2312yes—
138C2×(C2×D3)⋊C4C2312yes—
139C2×(C2×D3)⋊C4C2314yes—
140C2×(C2×D3)⋊C4C2314yes—
141C2×C4⋊Dic3—24no—
142C2×C4⋊Dic3C2312yes—
143C2×C4⋊Dic3C2312yes—
144C2×C4⋊Dic3C2312yes—
145C2×C4⋊Dic3C2312yes—
146C2×C4⋊Dic3C2311yescharacteristic
147C2×C4⋊Dic3C2312yes—
148C2×C4⋊Dic3C2314yes—
149C2×Dic3⋊C4—24no—
150C2×Dic3⋊C4—24no—
151C2×Dic3⋊C4C2314yes—
152C2×Dic3⋊C4C2312yes—
153C2×Dic3⋊C4C2312yes—
154C2×Dic3⋊C4C2314yes—
155C2×Dic3⋊C4C2312yes—
156C2×Dic3⋊C4C2312yes—
157C2×Dic3⋊C4C2312yes—
158C2×Dic3⋊C4C2314yes—
159C2×Dic3⋊C4C2314yes—
160C2×C4×Dic3—24no—
161C2×C4×Dic3D418yes—
162C2×C4×Dic3C2312yes—
163C2×C4×Dic3C2312yes—
164C2×C4×Dic3C2312yes—
165C2×C4×Dic3C2314yes—
166C2×C4×Dic3C2311yescharacteristic
167C2×C4×Dic3C2311yescharacteristic
168C2×C4×Dic3C2311yescharacteristic
169C2×C4×Dic3C2311yescharacteristic
170#898—28no—
171#896—216no—
172#893—24no—
173#892—28no—
174#890—24no—
175#886—28no—
176#886—44no—
177#67⋊C4—28no—
178#877—44no—
179C4×Dic6—28no—
180C4×Dic6—28no—
181C4×Dic6—28no—
182C4×Dic6—28no—
183C3×#95C2314yes—
184C3×#95C2314yes—
185C3×#95C2314yes—
186C3×#95C2312yes—
187C3⋊#95C2314yes—
188C3⋊#95C2314yes—
189C3⋊#95C2314yes—
190C3⋊#95C2314yes—
191C3⋊#95C2312yes—
192C3⋊#95C2314yes—
193C3⋊#95C2314yes—
194C23×Q8—31no—
195#529—68no—
196C2×#126—32no—
197C2×#125—31no—
198C2×#124—31no—
199C2×#123—32no—
200C2×#123—32no—
201C2×#123—32no—
202C2×C22⋊Q8—34no—
203C2×C22⋊Q8C2×D311yescharacteristic
204C2×#121—31no—
205C2×C4×Q8—31no—
206C2×C4×Q8—32no—
207C2×C4×Q8—32no—
208C2×C4×Q8—32no—
209C2×C4×Q8—32no—
210C2×C4×Q8—68no—
211C2×C4×D4—31no—
212C2×C4×D4—32no—
213C2×#117—32no—
214C2×#117—32no—
215C22×C4⋊C4—31no—
216C22×C4⋊C4—31no—
217C22×C4⋊C4—31no—
218C22×C42—31no—
219C22×C42—31no—
220C22×C42C2×D311yescharacteristic
221#398—34no—
222#398—34no—
223#398—34no—
224#397—34no—
225#396—34no—
226#396—34no—
227#395—34no—
228#393—34no—
229#391—32no—
230#391—34no—
231#391C2×D312yes—
232#390—32no—
233#390—32no—
234#389—34no—
235#389—32no—
236#389—32no—
237#389—32no—
238#389—34no—
239#389—34no—
240#389C2×D312yes—
241#388—34no—
242#388—34no—
243#388—34no—
244#388—34no—
245#387—34no—
246#387C2×D314yes—
247#386—32no—
248#386—32no—
249#385—32no—
250#385C2×D312yes—
251#384—32no—
252#382—32no—
253#381—32no—
254#381C2×D312yes—
255#380—31no—
256#380—32no—
257#380—34no—
258#380C2×D311yescharacteristic
259C4×C4⋊C4—32no—
260C4×C4⋊C4—32no—
261C24×C3C2411yescharacteristic
262C23×D3C2412yes—
263C2×C3×Q8—22no—
264C2×C3×Q8—24no—
265C22×C3×C4—22no—
266C22×C3×C4—24no—
267C22×C3×C4—24no—
268C22×C3×C4—22no—
269C22×C3×C4—22no—
270C22×C3×C4—22no—
271C22×C3×C4C2×D414yes—
272C22×C3×C4C2412yes—
273C22×C3×C4C2414yes—
274C22×C3×C4C2412yes—
275C22×C3×C4C2412yes—
276C22×C3×C4C2411yescharacteristic
277C22×C3×C4C2412yes—
278C22×C3×C4C2411yescharacteristic
279C2×#67—24no—
280C2×#67—24no—
281C2×#67—24no—
282C22×Dic3—22no—
283C22×Dic3—22no—
284C22×Dic3—22no—
285C22×Dic3—24no—
286C22×Dic3—24no—
287C22×Dic3—22no—
288C22×Dic3—22no—
289C22×Dic3—22no—
290C22×Dic3C2×D414yes—
291C22×Dic3C2×D414yes—
292C22×Dic3C2414yes—
293C22×Dic3C2412yes—
294C22×Dic3C2412yes—
295C22×Dic3C2411yescharacteristic
296C22×Dic3C2411yescharacteristic
297C22×Dic3C2411yescharacteristic
298C22×Dic3C2412yes—
299C22×Dic3C2411yescharacteristic
300C2×D12—22no—
301C2×D12—24no—
302C2×C4×D3—24no—
303C2×C4×D3—28no—
304C2×Dic6—232no—
305C2×Dic6—24no—
306C2×Dic6—24no—
307C2×Dic6—24no—
308C2×Dic6—24no—
309C2×Dic6—24no—
310C2×Dic6#4118yes—
311C3×C4⋊C4—22no—
312C3×C4⋊C4—24no—
313C3×C4⋊C4—28no—
314C3×C4⋊C4—24no—
315C3×C22⋊C4—24no—
316C3×C22⋊C4—24no—
317C3×C42—24no—
318C3×C42—24no—
319#217—24no—
320(C2×D3)⋊C4—24no—
321(C2×D3)⋊C4—28no—
322(C2×D3)⋊C4—24no—
323(C2×D3)⋊C4—24no—
324(C2×D3)⋊C4—24no—
325(C2×D3)⋊C4—28no—
326(C2×D3)⋊C4—44no—
327(C2×D3)⋊C4—44no—
328C4⋊Dic3—22no—
329C4⋊Dic3—24no—
330C4⋊Dic3—24no—
331C4⋊Dic3—24no—
332C4⋊Dic3—24no—
333C4⋊Dic3—24no—
334C4⋊Dic3—44no—
335Dic3⋊C4—24no—
336Dic3⋊C4—24no—
337Dic3⋊C4—24no—
338Dic3⋊C4—24no—
339Dic3⋊C4—24no—
340Dic3⋊C4—28no—
341Dic3⋊C4—28no—
342Dic3⋊C4—44no—
343Dic3⋊C4—44no—
344C4×Dic3—24no—
345C4×Dic3—24no—
346C4×Dic3—24no—
347C4×Dic3—44no—
348C4×Dic3C2×D414yes—
349C4×Dic3C2×D414yes—
350C4×Dic3C2×D414yes—
351C4×Dic3C2×D414yes—
352C22×Q8—32no—
353C22×Q8—32no—
354C22×Q8—64no—
355C22×Q8—68no—
356C22×Q8C22×D311yescharacteristic
357C22×D4—32no—
358C22×D4—31no—
359C23×C4—31no—
360C23×C4—31no—
361C23×C4—31no—
362C23×C4—31no—
363C23×C4—32no—
364C23×C4C22×D311yescharacteristic
365C23×C4C22×D311yescharacteristic
366C23×C4C22×D311yescharacteristic
367#126—68no—
368#125—64no—
369#124—64no—
370#123—68no—
371#123—124no—
372#123—124no—
373C22⋊Q8—24no—
374C22⋊Q8—616no—
375#121—64no—
376C4×Q8—68no—
377C4×Q8—68no—
378C4×Q8—68no—
379C4×Q8—68no—
380C4×Q8—64no—
381C4×D4—64no—
382C4×D4—68no—
383#117—68no—
384#117—124no—
385C2×C4⋊C4—32no—
386C2×C4⋊C4—32no—
387C2×C4⋊C4—32no—
388C2×C4⋊C4—32no—
389C2×C4⋊C4—32no—
390C2×C4⋊C4—32no—
391C2×C4⋊C4—32no—
392C2×C4⋊C4—32no—
393C2×C4⋊C4—31no—
394C2×C4⋊C4—32no—
395C2×C4⋊C4—34no—
396C2×C4⋊C4—34no—
397C2×C4⋊C4—32no—
398C2×C4⋊C4—34no—
399C2×C4⋊C4—34no—
400C2×C4⋊C4—34no—
401C2×C4⋊C4—64no—
402C2×C4⋊C4—64no—
403C2×C4⋊C4—64no—
404C2×C4⋊C4C22×D312yes—
405C2×C4⋊C4C22×D311yescharacteristic
406C2×C4⋊C4C22×D314yes—
407C2×C4⋊C4C22×D312yes—
408C2×C22⋊C4—32no—
409C2×C22⋊C4—32no—
410C2×C22⋊C4—32no—
411C2×C22⋊C4—32no—
412C2×C22⋊C4—32no—
413C2×C22⋊C4—34no—
414C2×C22⋊C4—34no—
415C2×C22⋊C4—34no—
416C2×C22⋊C4—34no—
417C2×C22⋊C4C22×D312yes—
418C2×C22⋊C4C22×D312yes—
419C2×C42—24no—
420C2×C42—38no—
421C2×C42—31no—
422C2×C42—31no—
423C2×C42—31no—
424C2×C42—31no—
425C2×C42—32no—
426C2×C42—32no—
427C2×C42—32no—
428C2×C42—34no—
429C2×C42—64no—
430C2×C42C22×D312yes—
431C2×C42C22×D312yes—
432#95—32no—
433#95—34no—
434#95—34no—
435#95—34no—
436#95—34no—
437#95—34no—
438#95—34no—
439#95C22×D312yes—
440#95C22×D314yes—
441#95C22×D314yes—
442#95C22×D314yes—
443C23×C3—22no—
444C23×C3—22no—
445C23×C3C22×D412yes—
446C23×C3H(5,𝔽2)12yes—
447C23×C32−1+412yes—
448C23×C3C2511yescharacteristic
449C22×D3—22no—
450C22×D3—24no—
451C22×D3—22no—
452C22×D3—24no—
453C22×D3—22no—
454C3×Q8—44no—
455C2×C3×C4—28no—
456C2×C3×C4—22no—
457C2×C3×C4—22no—
458C2×C3×C4—22no—
459C2×C3×C4—28no—
460C2×C3×C4—22no—
461C2×C3×C4—22no—
462C2×C3×C4—22no—
463C2×C3×C4—24no—
464C2×C3×C4—24no—
465C2×C3×C4—24no—
466C2×C3×C4—22no—
467C2×C3×C4—24no—
468C2×C3×C4—22no—
469C2×C3×C4—24no—
470C2×C3×C4—44no—
471C2×C3×C4C22×D412yes—
472C2×C3×C4C22×D412yes—
473C2×C3×C4C2×#4114yes—
474C2×C3×C42−1+414yes—
475#67—48no—
476C2×Dic3—28no—
477C2×Dic3—28no—
478C2×Dic3—22no—
479C2×Dic3—22no—
480C2×Dic3—22no—
481C2×Dic3—21no—
482C2×Dic3—21no—
483C2×Dic3—21no—
484C2×Dic3—21no—
485C2×Dic3—28no—
486C2×Dic3—22no—
487C2×Dic3—22no—
488C2×Dic3—24no—
489C2×Dic3—24no—
490C2×Dic3—22no—
491C2×Dic3—22no—
492C2×Dic3—24no—
493C2×Dic3—22no—
494C2×Dic3—22no—
495C2×Dic3—44no—
496C2×Dic3C22×D412yes—
497C2×Dic3C22×D412yes—
498C2×Dic3C22×D412yes—
499C2×Dic3C22×D412yes—
500C2×Dic3C2×#4114yes—
501C2×Dic3C2×#4114yes—
502D12—44no—
503C4×D3—48no—
504Dic6—216no—
505Dic6—216no—
506C24—32no—
507C24C23×D311yescharacteristic
508C2×Q8—22no—
509C2×Q8—24no—
510C2×Q8—38no—
511C2×Q8—64no—
512C2×Q8—64no—
513C2×Q8—64no—
514C2×Q8—64no—
515C2×Q8—632no—
516C2×Q8—64no—
517C2×D4—64no—
518C2×D4—64no—
519C2×D4—64no—
520C2×D4—62no—
521C2×D4—64no—
522C22×C4—22no—
523C22×C4—24no—
524C22×C4—24no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—31no—
529C22×C4—34no—
530C22×C4—34no—
531C22×C4—31no—
532C22×C4—32no—
533C22×C4—31no—
534C22×C4—31no—
535C22×C4—34no—
536C22×C4—32no—
537C22×C4—32no—
538C22×C4—64no—
539C22×C4—68no—
540C22×C4—64no—
541C22×C4—64no—
542C22×C4—62no—
543C22×C4—62no—
544C22×C4—62no—
545C22×C4—62no—
546C22×C4—62no—
547C22×C4—62no—
548C22×C4D3×D414yes—
549C22×C4C23×D312yes—
550C22×C4C23×D314yes—
551C22×C4C23×D312yes—
552C22×C4C23×D312yes—
553C22×C4C23×D311yescharacteristic
554C22×C4C23×D312yes—
555C22×C4C23×D311yescharacteristic
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—28no—
559C4⋊C4—24no—
560C4⋊C4—64no—
561C4⋊C4—64no—
562C4⋊C4—64no—
563C4⋊C4—64no—
564C4⋊C4—64no—
565C4⋊C4—64no—
566C4⋊C4—64no—
567C4⋊C4—64no—
568C4⋊C4—64no—
569C4⋊C4—68no—
570C4⋊C4—68no—
571C4⋊C4—62no—
572C4⋊C4—64no—
573C4⋊C4—124no—
574C4⋊C4—124no—
575C4⋊C4—124no—
576C22⋊C4—24no—
577C22⋊C4—24no—
578C22⋊C4—64no—
579C22⋊C4—64no—
580C22⋊C4—64no—
581C22⋊C4—68no—
582C22⋊C4—64no—
583C22⋊C4—64no—
584C22⋊C4—68no—
585C22⋊C4—124no—
586C22⋊C4—124no—
587C42—24no—
588C42—24no—
589C42—34no—
590C42—34no—
591C42—34no—
592C42—34no—
593C42—64no—
594C42—64no—
595C42—64no—
596C42—124no—
597C22×C3—22no—
598C22×C3—22no—
599C22×C3—24no—
600C22×C3—24no—
601C22×C3#53714yes—
602C22×C3C23×D411yescharacteristic
603C22×C3C22×#4112yes—
604C22×C3C2×H(5,𝔽2)11yescharacteristic
605C22×C3C2×2−1+411yescharacteristic
606C22×C3C2×2−1+412yes—
607C2×D3—42no—
608C2×D3—42no—
609C2×D3—42no—
610C2×D3—44no—
611C2×D3—44no—
612C3×C4—24no—
613C3×C4—22no—
614C3×C4—42no—
615C3×C4—42no—
616C3×C4—42no—
617C3×C4—44no—
618C3×C4#53614yes—
619Dic3—22no—
620Dic3—24no—
621Dic3—22no—
622Dic3—22no—
623Dic3—42no—
624Dic3—42no—
625Dic3—44no—
626Dic3#52514yes—
627C23—22no—
628C23—22no—
629C23—62no—
630C23—62no—
631C23—64no—
632C23—62no—
633C23—64no—
634C23C2×D3×D412yes—
635C23#100712yes—
636C23#100912yes—
637C23C24×D311yescharacteristic
638Q8—44no—
639Q8—616no—
640Q8—616no—
641D4—128no—
642D4—124no—
643C2×C4—28no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—28no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—32no—
659C2×C4—34no—
660C2×C4—32no—
661C2×C4—32no—
662C2×C4—32no—
663C2×C4—34no—
664C2×C4—44no—
665C2×C4—68no—
666C2×C4—68no—
667C2×C4—62no—
668C2×C4—61no—
669C2×C4—61no—
670C2×C4—62no—
671C2×C4—62no—
672C2×C4—61no—
673C2×C4—61no—
674C2×C4—68no—
675C2×C4—62no—
676C2×C4—62no—
677C2×C4—62no—
678C2×C4—62no—
679C2×C4—64no—
680C2×C4—64no—
681C2×C4—62no—
682C2×C4—62no—
683C2×C4—64no—
684C2×C4—128no—
685C2×C4—124no—
686C2×C4C2×D3×D412yes—
687C2×C4C2×D3×D412yes—
688C2×C4D3×#4114yes—
689C2×C4#101014yes—
690C2×C3—24no—
691C2×C3C2×#52511yescharacteristic
692C2×C3C2×#53611yescharacteristic
693C2×C3C2×#53711yescharacteristic
694C2×C3#352212yes—
695C2×C3#352312yes—
696D3—82no—
697C22—22no—
698C22—24no—
699C22—22no—
700C22—24no—
701C22—122no—
702C22—124no—
703C22—122no—
704C22—122no—
705C22—124no—
706C22#562914yes—
707C22C22×D3×D411yescharacteristic
708C22C2×#100711yescharacteristic
709C22C2×D3×#4112yes—
710C22C2×#100911yescharacteristic
711C22C2×#101012yes—
712C4—24no—
713C4—22no—
714C4—34no—
715C4—42no—
716C4—44no—
717C4—42no—
718C4—42no—
719C4—62no—
720C4—64no—
721C4—62no—
722C4—62no—
723C4—124no—
724C4—122no—
725C4—122no—
726C4#564814yes—
727C3#3524711yescharacteristic, complemented, Sylow
728C2—24no—
729C2—242no—
730C2C2×#562911yescharacteristic
731C2C2×#564811yescharacteristic
732C2D3×#52511yescharacteristic
733C2#8612812yes—
734C2#8626612yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2855C2
prime radicalC2×#930C22
hypercenter#2855D3
hypocenterC3#35247
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2855

Complements

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

NH ≅ G/Ntype
2. C22×C4×Dic6C2semidirect
3. C3×#2855C2semidirect
4. #82810C2semidirect
6. #76555C2semidirect
7. #76548C2semidirect
8. #76078C2semidirect
9. #76059C2semidirect
10. #75378C2semidirect
11. #74947C2semidirect
12. #74407C2semidirect
13. #74405C2semidirect
14. #74075C2semidirect
15. #74064C2semidirect
17. #73864C2semidirect
89. #2855D3semidirect
727. C3#35247semidirect

Maximal subgroups

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

subgroupindex
C2×#56242
C22×C4×Dic62
C3×#28552
#828102
#820802
#765552
#765482
#760782
#760592
#753782
#749472
#744072
#744052
#740752
#740642
#739992
#738642
#352473