Finite Group Databasebeta

← #11058594

Subgroups — #11058594

Order 768.

2310 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5507C211yesmaximal, characteristic
2C22×#890C211yesmaximal, characteristic, complemented
3C3×#2344C211yesmaximal, characteristic, complemented
4#82270C212yesmaximal, complemented
5#82246C212yesmaximal, complemented
6#76016C212yesmaximal, complemented
7#76003C212yesmaximal, complemented
8#75393C214yesmaximal, complemented
9#75151C214yesmaximal, complemented
10#74136C212yesmaximal, complemented
11#74063C212yesmaximal, complemented
12#74028C211yesmaximal, characteristic, complemented
13#73999C211yesmaximal, characteristic, complemented
14#73787C212yesmaximal, complemented
15#73714C212yesmaximal, complemented
16#73519C211yesmaximal, characteristic, complemented
17C4×#886C211yesmaximal, characteristic, complemented
18#38907—31nomaximal, Sylow
19C22×#235C2212yes—
20C2×C3×#117C2212yes—
21C22×C3×C4⋊C4C2211yescharacteristic
22C2×#930C2211yescharacteristic
23C2×#929C2212yes—
24C2×C4×#67C2211yescharacteristic
25C22×C4⋊Dic3C2211yescharacteristic
26C22×C4⋊Dic3C2212yes—
27C22×Dic3⋊C4C2212yes—
28C22×C4×Dic3C2211yescharacteristic
29C2×#896C2212yes—
30#5507—28no—
31C2×#895C2211yescharacteristic
32C2×#894C2212yes—
33C2×#893C2211yescharacteristic
34C2×D3×C4⋊C4C2211yescharacteristic
35C2×#890—28no—
36C2×#890C2212yes—
37C2×#890C2214yes—
38C2×#890C2212yes—
39C2×#888C2211yescharacteristic
40C2×#886C2211yescharacteristic
41C2×#886C2212yes—
42C3×#389C2212yes—
43C3×#387C2214yes—
44C3×#381C2212yes—
45C3×#380C2211yescharacteristic
46C3×C4×C4⋊C4C2212yes—
47C3×C4×C22⋊C4C2211yescharacteristic
48#4994C2214yes—
49#4988C2212yes—
50#4987C2212yes—
51#4987C2214yes—
52#4987C2214yes—
53#4984C2212yes—
54#4984C2212yes—
55#4981C2214yes—
56#4958C2212yes—
57#4958C2212yes—
58#4958C2212yes—
59#4958C2212yes—
60#4958C2211yescharacteristic
61#4950C2212yes—
62#4950C2211yescharacteristic
63#4943C2211yescharacteristic
64#4940C2214yes—
65#4939C2212yes—
66#4939C2214yes—
67C4×(C2×D3)⋊C4C2212yes—
68#4936C2212yes—
69C4×C4⋊Dic3C2212yes—
70#4929C2214yes—
71#4928C2214yes—
72#4677C2212yes—
73#4677C2214yes—
74#4674C2214yes—
75#4674C2214yes—
76#4672C2214yes—
77#4670C2214yes—
78#4670C2212yes—
79#4668C2214yes—
80#4668C2214yes—
81#4661C2214yes—
82#4659C2212yes—
83#4659C2214yes—
84#4656C2214yes—
85#4653C2212yes—
86C2×#547—31no—
87C22×#125—31no—
88#2854—31no—
89#2694—34no—
90#2690—34no—
91#2623—32no—
92#2550—32no—
93#2504—31no—
94#2490—32no—
95#2487—31no—
96#2454—32no—
97#2442—32no—
98#2413—32no—
99#2406—32no—
100#2344D311yescharacteristic, complemented
101#2311—32no—
102C4×#123—31no—
103C23×C3×C4C2312yes—
104C23×C3×C4C2311yescharacteristic
105C22×#67C2312yes—
106C22×#67C2311yescharacteristic
107C23×Dic3C2311yescharacteristic
108C23×Dic3C2311yescharacteristic
109C23×Dic3C2312yes—
110C2×#235—28no—
111C2×#235—28no—
112C2×#235—44no—
113C22×D12C2311yescharacteristic
114C22×D12C2312yes—
115C22×C4×D3C2311yescharacteristic
116C22×C4×D3C2312yes—
117C22×C4×D3C2312yes—
118C22×Dic6C2312yes—
119C3×#117—44no—
120C2×C3×C4⋊C4D418yes—
121C2×C3×C4⋊C4C2312yes—
122C2×C3×C4⋊C4C2314yes—
123C2×C3×C4⋊C4C2311yescharacteristic
124C2×C3×C4⋊C4C2311yescharacteristic
125C2×C3×C4⋊C4C2312yes—
126C2×C3×C22⋊C4C2311yescharacteristic
127C2×C3×C22⋊C4C2311yescharacteristic
128C2×C3×C22⋊C4C2312yes—
129C2×C3×C42C2312yes—
130C2×C3×C42C2314yes—
131C2×#217C2311yescharacteristic
132#930—24no—
133#929—28no—
134C4×#67—24no—
135C2×(C2×D3)⋊C4C2312yes—
136C2×(C2×D3)⋊C4C2312yes—
137C2×(C2×D3)⋊C4C2311yescharacteristic
138C2×(C2×D3)⋊C4C2312yes—
139C2×(C2×D3)⋊C4C2312yes—
140C2×(C2×D3)⋊C4C2314yes—
141C2×(C2×D3)⋊C4C2314yes—
142C2×(C2×D3)⋊C4C2314yes—
143C2×(C2×D3)⋊C4C2314yes—
144C2×(C2×D3)⋊C4C2312yes—
145C2×(C2×D3)⋊C4C2314yes—
146C2×C4⋊Dic3—28no—
147C2×C4⋊Dic3—24no—
148C2×C4⋊Dic3C2312yes—
149C2×C4⋊Dic3C2312yes—
150C2×C4⋊Dic3C2314yes—
151C2×C4⋊Dic3C2314yes—
152C2×C4⋊Dic3C2311yescharacteristic
153C2×C4⋊Dic3C2312yes—
154C2×C4⋊Dic3C2314yes—
155C2×C4⋊Dic3C2312yes—
156C2×C4⋊Dic3C2314yes—
157C2×Dic3⋊C4—28no—
158C2×Dic3⋊C4C2311yescharacteristic
159C2×Dic3⋊C4C2314yes—
160C2×Dic3⋊C4C2312yes—
161C2×Dic3⋊C4C2312yes—
162C2×Dic3⋊C4C2314yes—
163C2×C4×Dic3—24no—
164C2×C4×Dic3C2312yes—
165C2×C4×Dic3C2311yescharacteristic
166C2×C4×Dic3C2312yes—
167#896—28no—
168#895—24no—
169#894—28no—
170#893—24no—
171D3×C4⋊C4—24no—
172#890—28no—
173#890—28no—
174#890—216no—
175#888—24no—
176#886—24no—
177#886—44no—
178C3×#95C2312yes—
179C3×#95C2314yes—
180C3×#95C2314yes—
181C3×#95C2312yes—
182C3⋊#95C2312yes—
183C3⋊#95C2312yes—
184C3⋊#95C2312yes—
185C3⋊#95C2314yes—
186C3⋊#95C2314yes—
187C3⋊#95C2314yes—
188C3⋊#95C2314yes—
189C3⋊#95C2312yes—
190C3⋊#95C2314yes—
191C22×#41—32no—
192#547—68no—
193C2×C4⋊Q8—31no—
194C2×#125—34no—
195C2×#125—32no—
196C2×#125—32no—
197C2×#125—68no—
198C2×#123—32no—
199C2×#123—32no—
200C2×#123—31no—
201C2×#123—32no—
202C2×C22⋊Q8—32no—
203C2×#121—31no—
204C2×#121—31no—
205C2×C4×D4—31no—
206C2×C4×D4—31no—
207C2×#117C2×D312yes—
208C22×C4⋊C4—32no—
209C22×C4⋊C4—32no—
210C22×C4⋊C4—31no—
211C22×C4⋊C4—31no—
212C22×C4⋊C4C2×D311yescharacteristic
213C22×C42—31no—
214#400—34no—
215#400—32no—
216#399—34no—
217#399—32no—
218#398—34no—
219#398—34no—
220#397—34no—
221#397—34no—
222#396—34no—
223#395—34no—
224#394—34no—
225#391—34no—
226#390—32no—
227#390—34no—
228#390—32no—
229#389—32no—
230#389—32no—
231#389—34no—
232#389C2×D312yes—
233#388—34no—
234#388—34no—
235#388—32no—
236#387—32no—
237#387C2×D314yes—
238#386—31no—
239#386—32no—
240#386—32no—
241#386—32no—
242#386—32no—
243#385—31no—
244#385—32no—
245#385—34no—
246#385—34no—
247#382—32no—
248#381—31no—
249#381C2×D312yes—
250#380—34no—
251#380—34no—
252#380—32no—
253#380C2×D311yescharacteristic
254C4×C4⋊C4—32no—
255C4×C4⋊C4C2×D312yes—
256C4×C22⋊C4—32no—
257C4×C22⋊C4C2×D311yescharacteristic
258C24×C3C2411yescharacteristic
259C23×D3C2412yes—
260C23×D3C2411yescharacteristic
261C22×C3×C4—24no—
262C22×C3×C4—24no—
263C22×C3×C4—24no—
264C22×C3×C4C2×D414yes—
265C22×C3×C4C2×D418yes—
266C22×C3×C4C2412yes—
267C22×C3×C4C2412yes—
268C22×C3×C4C2414yes—
269C22×C3×C4C2411yescharacteristic
270C22×C3×C4C2412yes—
271C22×C3×C4C2412yes—
272C22×C3×C4C2411yescharacteristic
273C2×#67—22no—
274C2×#67—22no—
275C2×#67—24no—
276C2×#67—24no—
277C2×#67—24no—
278C2×#67#4114yes—
279C22×Dic3—22no—
280C22×Dic3—22no—
281C22×Dic3—24no—
282C22×Dic3—22no—
283C22×Dic3—22no—
284C22×Dic3—42no—
285C22×Dic3—44no—
286C22×Dic3C2411yescharacteristic
287C22×Dic3C2412yes—
288C22×Dic3C2412yes—
289C22×Dic3C2414yes—
290C22×Dic3C2412yes—
291C22×Dic3C2411yescharacteristic
292C22×Dic3C2411yescharacteristic
293#235—432no—
294C2×D12—24no—
295C2×D12—22no—
296C2×D12—24no—
297C2×D12—24no—
298C2×D12—42no—
299C2×C4×D3—24no—
300C2×C4×D3—24no—
301C2×C4×D3—22no—
302C2×C4×D3—24no—
303C2×C4×D3—24no—
304C2×C4×D3—24no—
305C2×C4×D3—42no—
306C2×C4×D3—42no—
307C2×Dic6—24no—
308C2×Dic6—24no—
309C2×Dic6—42no—
310C3×C4⋊C4—24no—
311C3×C4⋊C4—44no—
312C3×C4⋊C4C2×D414yes—
313C3×C4⋊C4C2×D414yes—
314C3×C4⋊C4C2×D418yes—
315C3×C22⋊C4—22no—
316C3×C22⋊C4—24no—
317C3×C22⋊C4—22no—
318C3×C42—24no—
319C3×C42—44no—
320#217—22no—
321(C2×D3)⋊C4—24no—
322(C2×D3)⋊C4—24no—
323(C2×D3)⋊C4—22no—
324(C2×D3)⋊C4—24no—
325(C2×D3)⋊C4—24no—
326(C2×D3)⋊C4—44no—
327(C2×D3)⋊C4—42no—
328(C2×D3)⋊C4—44no—
329(C2×D3)⋊C4—44no—
330(C2×D3)⋊C4—44no—
331(C2×D3)⋊C4—44no—
332C4⋊Dic3—22no—
333C4⋊Dic3—28no—
334C4⋊Dic3—28no—
335C4⋊Dic3—24no—
336C4⋊Dic3—24no—
337C4⋊Dic3—24no—
338C4⋊Dic3—44no—
339C4⋊Dic3—42no—
340C4⋊Dic3—44no—
341Dic3⋊C4—24no—
342Dic3⋊C4—28no—
343Dic3⋊C4—28no—
344Dic3⋊C4—24no—
345Dic3⋊C4—22no—
346C4×Dic3—22no—
347C4×Dic3—24no—
348C4×Dic3—24no—
349C2×#41—68no—
350C2×#41—68no—
351C2×#41—124no—
352C22×Q8—32no—
353C22×D4—31no—
354C22×D4—32no—
355C22×D4—31no—
356C22×D4—32no—
357C23×C4—31no—
358C23×C4—32no—
359C23×C4—31no—
360C23×C4—31no—
361C23×C4—32no—
362C23×C4—32no—
363C23×C4C22×D312yes—
364C23×C4C22×D311yescharacteristic
365C4⋊Q8—64no—
366#125—68no—
367#125—68no—
368#125—616no—
369#123—64no—
370#123—68no—
371#123—68no—
372#123—124no—
373C22⋊Q8—68no—
374#121—64no—
375#121—64no—
376C4×D4—64no—
377C4×D4—64no—
378#117—44no—
379C2×C4⋊C4—31no—
380C2×C4⋊C4—32no—
381C2×C4⋊C4—34no—
382C2×C4⋊C4—32no—
383C2×C4⋊C4—34no—
384C2×C4⋊C4—34no—
385C2×C4⋊C4—34no—
386C2×C4⋊C4—32no—
387C2×C4⋊C4—31no—
388C2×C4⋊C4—32no—
389C2×C4⋊C4—32no—
390C2×C4⋊C4—34no—
391C2×C4⋊C4—32no—
392C2×C4⋊C4—34no—
393C2×C4⋊C4—68no—
394C2×C4⋊C4—68no—
395C2×C4⋊C4—64no—
396C2×C4⋊C4—64no—
397C2×C4⋊C4D1218yes—
398C2×C4⋊C4C22×D312yes—
399C2×C4⋊C4C22×D314yes—
400C2×C4⋊C4C22×D311yescharacteristic
401C2×C4⋊C4C22×D311yescharacteristic
402C2×C4⋊C4C22×D312yes—
403C2×C22⋊C4—31no—
404C2×C22⋊C4—31no—
405C2×C22⋊C4—32no—
406C2×C22⋊C4—32no—
407C2×C22⋊C4—32no—
408C2×C22⋊C4—32no—
409C2×C22⋊C4—34no—
410C2×C22⋊C4—32no—
411C2×C22⋊C4—34no—
412C2×C22⋊C4—34no—
413C2×C22⋊C4—34no—
414C2×C22⋊C4—34no—
415C2×C22⋊C4C22×D311yescharacteristic
416C2×C22⋊C4C22×D312yes—
417C2×C22⋊C4C22×D311yescharacteristic
418C2×C42—31no—
419C2×C42—32no—
420C2×C42—32no—
421C2×C42—64no—
422C2×C42C22×D312yes—
423C2×C42C22×D314yes—
424#95—32no—
425#95—32no—
426#95—32no—
427#95—32no—
428#95—34no—
429#95—34no—
430#95—34no—
431#95—34no—
432#95—34no—
433#95C22×D312yes—
434#95C22×D314yes—
435#95C22×D312yes—
436#95C22×D314yes—
437C23×C3—22no—
438C23×C3—22no—
439C23×C3C22×D412yes—
440C23×C3C2×#4112yes—
441C23×C3H(5,𝔽2)12yes—
442C23×C3C2511yescharacteristic
443C22×D3—21no—
444C22×D3—21no—
445C22×D3—22no—
446C22×D3—22no—
447C22×D3—22no—
448C22×D3—22no—
449C22×D3—22no—
450C22×D3—24no—
451C22×D3—24no—
452C22×D3C2×#4112yes—
453C2×C3×C4—216no—
454C2×C3×C4—22no—
455C2×C3×C4—22no—
456C2×C3×C4—22no—
457C2×C3×C4—22no—
458C2×C3×C4—22no—
459C2×C3×C4—28no—
460C2×C3×C4—22no—
461C2×C3×C4—24no—
462C2×C3×C4—22no—
463C2×C3×C4—22no—
464C2×C3×C4—22no—
465C2×C3×C4—24no—
466C2×C3×C4—22no—
467C2×C3×C4—24no—
468C2×C3×C4—22no—
469C2×C3×C4C22×D412yes—
470C2×C3×C4C22×D414yes—
471C2×C3×C4C22×D414yes—
472C2×C3×C4C22×D412yes—
473C2×C3×C42−1+414yes—
474#67—28no—
475#67—48no—
476C2×Dic3—21no—
477C2×Dic3—21no—
478C2×Dic3—22no—
479C2×Dic3—22no—
480C2×Dic3—21no—
481C2×Dic3—21no—
482C2×Dic3—24no—
483C2×Dic3—22no—
484C2×Dic3—22no—
485C2×Dic3—22no—
486C2×Dic3—22no—
487C2×Dic3—22no—
488C2×Dic3—22no—
489C2×Dic3—22no—
490C2×Dic3—22no—
491C2×Dic3—24no—
492C2×Dic3—22no—
493C2×Dic3—24no—
494C2×Dic3—44no—
495C2×Dic3—48no—
496C2×Dic3—44no—
497C2×Dic3C2×#4112yes—
498D12—48no—
499D12—44no—
500C4×D3—48no—
501C4×D3—48no—
502C4×D3—44no—
503Dic6—48no—
504C24—31no—
505C24—32no—
506C24C23×D311yescharacteristic
507#41—1232no—
508C2×Q8—64no—
509C2×Q8—64no—
510C2×Q8—122no—
511C2×D4—34no—
512C2×D4—64no—
513C2×D4—62no—
514C2×D4—62no—
515C2×D4—64no—
516C2×D4—64no—
517C2×D4—64no—
518C2×D4—62no—
519C2×D4—64no—
520C2×D4—64no—
521C2×D4—122no—
522C22×C4—24no—
523C22×C4—24no—
524C22×C4—24no—
525C22×C4—31no—
526C22×C4—31no—
527C22×C4—32no—
528C22×C4—32no—
529C22×C4—34no—
530C22×C4—32no—
531C22×C4—31no—
532C22×C4—64no—
533C22×C4—64no—
534C22×C4—62no—
535C22×C4—62no—
536C22×C4—64no—
537C22×C4—62no—
538C22×C4—62no—
539C22×C4—62no—
540C22×C4—64no—
541C22×C4—64no—
542C22×C4—64no—
543C22×C4—122no—
544C22×C4—122no—
545C22×C4—124no—
546C22×C4—122no—
547C22×C4C2×D1214yes—
548C22×C4C2×D1218yes—
549C22×C4C23×D312yes—
550C22×C4C23×D312yes—
551C22×C4C23×D314yes—
552C22×C4C23×D311yescharacteristic
553C22×C4C23×D312yes—
554C22×C4C23×D312yes—
555C22×C4C23×D311yescharacteristic
556C4⋊C4—24no—
557C4⋊C4—44no—
558C4⋊C4—64no—
559C4⋊C4—62no—
560C4⋊C4—64no—
561C4⋊C4—68no—
562C4⋊C4—68no—
563C4⋊C4—68no—
564C4⋊C4—68no—
565C4⋊C4—64no—
566C4⋊C4—64no—
567C4⋊C4—62no—
568C4⋊C4—64no—
569C4⋊C4—124no—
570C4⋊C4—122no—
571C4⋊C4—124no—
572C4⋊C4C2×D1214yes—
573C4⋊C4C2×D1214yes—
574C4⋊C4C2×D1218yes—
575C22⋊C4—22no—
576C22⋊C4—24no—
577C22⋊C4—22no—
578C22⋊C4—64no—
579C22⋊C4—62no—
580C22⋊C4—62no—
581C22⋊C4—64no—
582C22⋊C4—64no—
583C22⋊C4—64no—
584C22⋊C4—124no—
585C22⋊C4—122no—
586C22⋊C4—124no—
587C22⋊C4—124no—
588C22⋊C4—124no—
589C22⋊C4—124no—
590C42—24no—
591C42—44no—
592C42—64no—
593C42—64no—
594C42—62no—
595C22×C3—22no—
596C22×C3—22no—
597C22×C3—24no—
598C22×C3—24no—
599C22×C3#54614yes—
600C22×C3C23×D411yescharacteristic
601C22×C3C22×#4111yescharacteristic
602C22×C3C2×H(5,𝔽2)11yescharacteristic
603C22×C3C2×2−1+412yes—
604C22×C3#58512yes—
605C2×D3—22no—
606C2×D3—24no—
607C2×D3—41no—
608C2×D3—41no—
609C2×D3—42no—
610C2×D3—42no—
611C2×D3—42no—
612C2×D3—42no—
613C2×D3—44no—
614C2×D3—44no—
615C3×C4—22no—
616C3×C4—24no—
617C3×C4—24no—
618C3×C4—42no—
619C3×C4—44no—
620C3×C4—42no—
621C3×C4#53614yes—
622Dic3—22no—
623Dic3—41no—
624Dic3—42no—
625Dic3—42no—
626Dic3—41no—
627Dic3—42no—
628Dic3—44no—
629C23—22no—
630C23—22no—
631C23—32no—
632C23—61no—
633C23—61no—
634C23—62no—
635C23—62no—
636C23—62no—
637C23—62no—
638C23—62no—
639C23—64no—
640C23—64no—
641C23C22×D1212yes—
642C23#100412yes—
643C23D3×#4112yes—
644C23C24×D311yescharacteristic
645Q8—128no—
646D4—68no—
647D4—128no—
648D4—128no—
649D4—124no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—216no—
656C2×C4—28no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—24no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—24no—
666C2×C4—32no—
667C2×C4—61no—
668C2×C4—61no—
669C2×C4—62no—
670C2×C4—62no—
671C2×C4—61no—
672C2×C4—61no—
673C2×C4—62no—
674C2×C4—64no—
675C2×C4—62no—
676C2×C4—62no—
677C2×C4—62no—
678C2×C4—62no—
679C2×C4—62no—
680C2×C4—62no—
681C2×C4—64no—
682C2×C4—62no—
683C2×C4—64no—
684C2×C4—62no—
685C2×C4—128no—
686C2×C4—128no—
687C2×C4—124no—
688C2×C4—128no—
689C2×C4—124no—
690C2×C4—124no—
691C2×C4C22×D1212yes—
692C2×C4C22×D1214yes—
693C2×C4C22×D1214yes—
694C2×C4C22×D1212yes—
695C2×C4#101014yes—
696C2×C3—24no—
697C2×C3C2×#53611yescharacteristic
698C2×C3C2×#54611yescharacteristic
699C2×C3#348711yescharacteristic
700C2×C3#351512yes—
701C2×C3#355912yes—
702D3—42no—
703D3—82no—
704C22—24no—
705C22—22no—
706C22—24no—
707C22—22no—
708C22—62no—
709C22—64no—
710C22—121no—
711C22—122no—
712C22—121no—
713C22—122no—
714C22—124no—
715C22—122no—
716C22—124no—
717C22—122no—
718C22#555414yes—
719C22C23×D1211yescharacteristic
720C22C2×#100411yescharacteristic
721C22C2×D3×#4111yescharacteristic
722C22C2×#101012yes—
723C22#596812yes—
724C4—24no—
725C4—24no—
726C4—22no—
727C4—42no—
728C4—42no—
729C4—44no—
730C4—62no—
731C4—122no—
732C4—122no—
733C4—122no—
734C4—124no—
735C4—121no—
736C4—121no—
737C4#552614yes—
738C3#3890711yescharacteristic, complemented, Sylow
739C2—24no—
740C2—122no—
741C2—242no—
742C2C2×#552611yescharacteristic
743C2C2×#555411yescharacteristic
744C2#8587411yescharacteristic
745C2#8669612yes—
746C2#8683612yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2344C2
prime radicalC2×#5507C2
hypercenter#2344D3
hypocenterC3#38907
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2344

Complements

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

NH ≅ G/Ntype
2. C22×#890C2semidirect
3. C3×#2344C2semidirect
4. #82270C2semidirect
5. #82246C2semidirect
6. #76016C2semidirect
7. #76003C2semidirect
8. #75393C2semidirect
9. #75151C2semidirect
10. #74136C2semidirect
11. #74063C2semidirect
12. #74028C2semidirect
13. #73999C2semidirect
14. #73787C2semidirect
15. #73714C2semidirect
16. #73519C2semidirect
17. C4×#886C2semidirect
100. #2344D3semidirect
738. C3#38907semidirect

Maximal subgroups

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

subgroupindex
C2×#55072
C22×#8902
C3×#23442
#822702
#822462
#760162
#760032
#753932
#751512
#741362
#740632
#740282
#739992
#737872
#737142
#735192
C4×#8862
#389073