Finite Group Databasebeta

← #10972884

Subgroups — #10972884

Order 768.

2378 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5691C211yesmaximal, characteristic
2C2×C4×D3×Q8C211yesmaximal, characteristic, complemented
3C3×#2584C211yesmaximal, characteristic, complemented
4#83041C211yesmaximal, characteristic, complemented
5#82484C211yesmaximal, characteristic, complemented
6#77825C212yesmaximal, complemented
7#77764C212yesmaximal, complemented
8#77205C212yesmaximal, complemented
9#77172C212yesmaximal, complemented
10#76287C212yesmaximal, complemented
11#76286C212yesmaximal
12#76208C214yesmaximal, complemented
13#76077C212yesmaximal, complemented
14#76059C212yesmaximal, complemented
15#75971C214yesmaximal, complemented
16#73753C211yesmaximal, characteristic, complemented
17#73735C211yesmaximal, characteristic, complemented
18#35247—31nomaximal, Sylow
19C22×D3×Q8C2211yescharacteristic
20C2×C3×#125C2211yescharacteristic
21C2×C3×C4×Q8C2211yescharacteristic
22C2×Q8×Dic3C2211yescharacteristic
23#5691—28no—
24C4×D3×Q8—28no—
25C2×#898C2212yes—
26C2×#897C2211yescharacteristic
27C2×#896C2214yes—
28C2×#895C2211yescharacteristic
29C2×#894C2212yes—
30C2×#894C2214yes—
31C2×#893C2211yescharacteristic
32C2×#893C2212yes—
33C2×#892C2212yes—
34C2×D3×C4⋊C4C2212yes—
35C2×D3×C4⋊C4C2211yescharacteristic
36C2×#887C2211yescharacteristic
37C2×#887C2211yescharacteristic
38C2×#887C2212yes—
39C2×#875C2211yescharacteristic
40C2×#872C2212yes—
41C2×C42×D3C2212yes—
42C2×C42×D3C2211yescharacteristic
43C2×C4×Dic6C2211yescharacteristic
44C2×C4×Dic6C2212yes—
45C3×#398C2212yes—
46C3×#395C2212yes—
47C3×#389C2212yes—
48C3×#389C2212yes—
49C3×#389C2214yes—
50C3×C4×C4⋊C4C2211yescharacteristic
51#5231C2212yes—
52#4994C2214yes—
53#4992C2212yes—
54#4990C2214yes—
55#4990C2214yes—
56#4989C2214yes—
57#4988C2212yes—
58#4987C2212yes—
59#4983C2214yes—
60#4981C2212yes—
61#4980C2214yes—
62#4979C2212yes—
63#4976C2214yes—
64#4976C2214yes—
65#4975C2212yes—
66#4973C2212yes—
67#4972C2212yes—
68#4972C2212yes—
69#4940C2214yes—
70#4939C2212yes—
71C4×C4⋊Dic3C2211yescharacteristic
72C4×Dic3⋊C4C2212yes—
73#4929C2212yes—
74#4676C2214yes—
75#4674C2212yes—
76#4673C2212yes—
77#4669C2214yes—
78#4667C2212yes—
79#4667C2214yes—
80#4665C2214yes—
81#4664C2214yes—
82#4657C2214yes—
83#4655C2214yes—
84#4650C2212yes—
85#4646C2214yes—
86C2×#529—31no—
87C22×C4×Q8—31no—
88#2855—32no—
89#2854—32no—
90#2637—32no—
91#2637—32no—
92#2592—31no—
93#2592—31no—
94#2584—31no—
95#2584D311yescharacteristic, complemented
96#2582—32no—
97#2538—32no—
98#2486—32no—
99#2413—34no—
100#2409—32no—
101#2323—34no—
102#2285—31no—
103C22×C3×Q8C2311yescharacteristic
104C2×D3×Q8—24no—
105C2×D3×Q8—28no—
106C22×D12C2312yes—
107C22×D12C2311yescharacteristic
108C22×C4×D3C2312yes—
109C22×C4×D3C2312yes—
110C22×C4×D3C2312yes—
111C22×C4×D3C2311yescharacteristic
112C22×C4×D3C2311yescharacteristic
113C22×C4×D3C2311yescharacteristic
114C22×Dic6C2311yescharacteristic
115C22×Dic6C2311yescharacteristic
116C22×Dic6C2312yes—
117C3×#125—24no—
118C3×C4×Q8—24no—
119C2×C3×C4⋊C4C2311yescharacteristic
120C2×C3×C4⋊C4C2311yescharacteristic
121C2×C3×C4⋊C4C2312yes—
122C2×C3×C4⋊C4C2312yes—
123C2×C3×C4⋊C4C2312yes—
124C2×C3×C4⋊C4C2314yes—
125C2×C3×C4⋊C4C2312yes—
126C2×C3×C4⋊C4C2311yescharacteristic
127C2×C3×C4⋊C4C2314yes—
128C2×C3×C42C2312yes—
129C2×C3×C42C2312yes—
130C2×C3×C42C2311yescharacteristic
131Q8×Dic3—24no—
132C2×(C2×D3)⋊C4C2312yes—
133C2×(C2×D3)⋊C4C2314yes—
134C2×(C2×D3)⋊C4C2314yes—
135C2×(C2×D3)⋊C4C2314yes—
136C2×(C2×D3)⋊C4C2312yes—
137C2×(C2×D3)⋊C4C2312yes—
138C2×(C2×D3)⋊C4C2312yes—
139C2×(C2×D3)⋊C4C2312yes—
140C2×(C2×D3)⋊C4C2314yes—
141C2×(C2×D3)⋊C4C2314yes—
142C2×C4⋊Dic3C2312yes—
143C2×C4⋊Dic3C2312yes—
144C2×C4⋊Dic3C2312yes—
145C2×C4⋊Dic3C2311yescharacteristic
146C2×Dic3⋊C4C2314yes—
147C2×Dic3⋊C4C2314yes—
148C2×Dic3⋊C4C2312yes—
149C2×Dic3⋊C4C2312yes—
150C2×Dic3⋊C4C2312yes—
151C2×Dic3⋊C4C2312yes—
152C2×Dic3⋊C4C2314yes—
153C2×Dic3⋊C4C2314yes—
154C2×C4×Dic3C2312yes—
155C2×C4×Dic3C2312yes—
156C2×C4×Dic3C2312yes—
157C2×C4×Dic3C2312yes—
158C2×C4×Dic3C2312yes—
159C2×C4×Dic3C2311yescharacteristic
160C2×C4×Dic3C2311yescharacteristic
161C2×C4×Dic3C2311yescharacteristic
162#898—28no—
163#897—24no—
164#896—216no—
165#895—24no—
166#894—28no—
167#894—48no—
168#893—28no—
169#893—24no—
170#892—28no—
171D3×C4⋊C4—28no—
172D3×C4⋊C4—24no—
173#887—24no—
174#887—24no—
175#887—28no—
176#875—24no—
177#872—44no—
178C42×D3—28no—
179C42×D3D418yes—
180C4×Dic6—24no—
181C4×Dic6—28no—
182C3×#95C2314yes—
183C3×#95C2312yes—
184C3×#95C2314yes—
185C3⋊#95C2314yes—
186C3⋊#95C2314yes—
187C3⋊#95C2314yes—
188C3⋊#95C2314yes—
189C3⋊#95C2312yes—
190C3⋊#95C2314yes—
191C3⋊#95C2314yes—
192C3⋊#95C2314yes—
193C23×Q8—31no—
194#529—68no—
195C2×#126—32no—
196C2×#125C2×D311yescharacteristic
197C2×#124—31no—
198C2×#123—32no—
199C2×#123—34no—
200C2×C22⋊Q8—34no—
201C2×C22⋊Q8—31no—
202C2×#121—31no—
203C2×C4×Q8—31no—
204C2×C4×Q8—32no—
205C2×C4×Q8—31no—
206C2×C4×Q8—31no—
207C2×C4×Q8—32no—
208C2×C4×Q8—31no—
209C2×C4×Q8—68no—
210C2×C4×Q8C2×D311yescharacteristic
211C2×C4×D4—32no—
212C2×C4×D4—31no—
213C2×#117—32no—
214C2×#117—32no—
215C22×C4⋊C4—32no—
216C22×C4⋊C4—31no—
217C22×C42—31no—
218C22×C42—32no—
219#398—34no—
220#398—32no—
221#398—34no—
222#398C2×D312yes—
223#397—32no—
224#397—32no—
225#396—34no—
226#396—34no—
227#395—32no—
228#395C2×D312yes—
229#393—32no—
230#393—32no—
231#391—32no—
232#391—32no—
233#391—34no—
234#390—32no—
235#390—32no—
236#389—34no—
237#389—34no—
238#389—32no—
239#389—32no—
240#389C2×D314yes—
241#389C2×D312yes—
242#389C2×D312yes—
243#388—34no—
244#388—34no—
245#388—34no—
246#388—34no—
247#387—34no—
248#387—34no—
249#386—34no—
250#385—34no—
251#384—32no—
252#382—32no—
253#381—34no—
254#380—32no—
255#380—34no—
256#380—32no—
257C4×C4⋊C4—32no—
258C4×C4⋊C4—31no—
259C4×C4⋊C4C2×D311yescharacteristic
260C23×D3C2412yes—
261C23×D3C2411yescharacteristic
262C2×C3×Q8—22no—
263C2×C3×Q8—24no—
264C22×C3×C4C2414yes—
265C22×C3×C4C2412yes—
266C22×C3×C4C2412yes—
267C22×C3×C4C2412yes—
268C22×C3×C4C2411yescharacteristic
269C22×C3×C4C2411yescharacteristic
270C22×C3×C4C2412yes—
271C22×C3×C4C2411yescharacteristic
272C22×Dic3C2412yes—
273C22×Dic3C2414yes—
274C22×Dic3C2412yes—
275C22×Dic3C2411yescharacteristic
276C22×Dic3C2411yescharacteristic
277C22×Dic3C2412yes—
278C22×Dic3C2411yescharacteristic
279D3×Q8—232no—
280C2×D12—24no—
281C2×D12—24no—
282C2×D12—24no—
283C2×D12—22no—
284C2×D12—24no—
285C2×C4×D3—24no—
286C2×C4×D3—22no—
287C2×C4×D3—22no—
288C2×C4×D3—24no—
289C2×C4×D3—24no—
290C2×C4×D3—24no—
291C2×C4×D3—24no—
292C2×C4×D3—24no—
293C2×C4×D3—24no—
294C2×C4×D3—24no—
295C2×C4×D3—24no—
296C2×C4×D3—28no—
297C2×C4×D3C2×D414yes—
298C2×C4×D3C2×D414yes—
299C2×C4×D3C2×D414yes—
300C2×Dic6—22no—
301C2×Dic6—24no—
302C2×Dic6—24no—
303C2×Dic6—24no—
304C2×Dic6—22no—
305C2×Dic6—24no—
306C2×Dic6#4118yes—
307C3×C4⋊C4—24no—
308C3×C4⋊C4—22no—
309C3×C4⋊C4—22no—
310C3×C4⋊C4—24no—
311C3×C4⋊C4—22no—
312C3×C4⋊C4—24no—
313C3×C4⋊C4—28no—
314C3×C4⋊C4—24no—
315C3×C4⋊C4—44no—
316C3×C42—24no—
317C3×C42—42no—
318C3×C42C2×D414yes—
319(C2×D3)⋊C4—24no—
320(C2×D3)⋊C4—28no—
321(C2×D3)⋊C4—24no—
322(C2×D3)⋊C4—24no—
323(C2×D3)⋊C4—28no—
324(C2×D3)⋊C4—24no—
325(C2×D3)⋊C4—24no—
326(C2×D3)⋊C4—28no—
327(C2×D3)⋊C4—44no—
328(C2×D3)⋊C4—44no—
329C4⋊Dic3—22no—
330C4⋊Dic3—24no—
331C4⋊Dic3—24no—
332C4⋊Dic3—24no—
333Dic3⋊C4—24no—
334Dic3⋊C4—24no—
335Dic3⋊C4—24no—
336Dic3⋊C4—24no—
337Dic3⋊C4—28no—
338Dic3⋊C4—28no—
339Dic3⋊C4—44no—
340Dic3⋊C4—44no—
341C4×Dic3—24no—
342C4×Dic3—24no—
343C4×Dic3—24no—
344C4×Dic3—24no—
345C4×Dic3—42no—
346C4×Dic3C2×D414yes—
347C4×Dic3C2×D414yes—
348C4×Dic3C2×D414yes—
349C22×Q8—32no—
350C22×Q8—31no—
351C22×Q8—31no—
352C22×Q8—64no—
353C22×Q8—68no—
354C22×Q8C22×D311yescharacteristic
355C22×D4—32no—
356C22×D4—31no—
357C23×C4—31no—
358C23×C4—31no—
359C23×C4—31no—
360C23×C4—32no—
361C23×C4—32no—
362C23×C4—32no—
363#126—68no—
364#125—24no—
365#124—64no—
366#123—68no—
367#123—128no—
368C22⋊Q8—64no—
369C22⋊Q8—616no—
370#121—64no—
371C4×Q8—24no—
372C4×Q8—68no—
373C4×Q8—68no—
374C4×Q8—64no—
375C4×Q8—64no—
376C4×Q8—64no—
377C4×Q8—64no—
378C4×D4—64no—
379C4×D4—68no—
380#117—68no—
381#117—124no—
382C2×C4⋊C4—32no—
383C2×C4⋊C4—32no—
384C2×C4⋊C4—32no—
385C2×C4⋊C4—32no—
386C2×C4⋊C4—31no—
387C2×C4⋊C4—32no—
388C2×C4⋊C4—32no—
389C2×C4⋊C4—34no—
390C2×C4⋊C4—34no—
391C2×C4⋊C4—32no—
392C2×C4⋊C4—34no—
393C2×C4⋊C4—34no—
394C2×C4⋊C4—64no—
395C2×C4⋊C4—68no—
396C2×C4⋊C4C22×D312yes—
397C2×C4⋊C4C22×D311yescharacteristic
398C2×C4⋊C4C22×D312yes—
399C2×C4⋊C4C22×D311yescharacteristic
400C2×C4⋊C4C22×D312yes—
401C2×C4⋊C4C22×D311yescharacteristic
402C2×C4⋊C4C22×D314yes—
403C2×C4⋊C4C22×D312yes—
404C2×C4⋊C4C22×D314yes—
405C2×C22⋊C4—32no—
406C2×C22⋊C4—32no—
407C2×C22⋊C4—34no—
408C2×C22⋊C4—32no—
409C2×C22⋊C4—32no—
410C2×C22⋊C4—32no—
411C2×C22⋊C4—34no—
412C2×C22⋊C4—34no—
413C2×C22⋊C4—34no—
414C2×C22⋊C4—34no—
415C2×C42—31no—
416C2×C42—31no—
417C2×C42—31no—
418C2×C42—38no—
419C2×C42—32no—
420C2×C42—32no—
421C2×C42—32no—
422C2×C42—32no—
423C2×C42—32no—
424C2×C42—68no—
425C2×C42C22×D312yes—
426C2×C42C22×D312yes—
427C2×C42C22×D311yescharacteristic
428#95—34no—
429#95—32no—
430#95—34no—
431#95—34no—
432#95—34no—
433#95—34no—
434#95—34no—
435#95—34no—
436#95C22×D312yes—
437#95C22×D314yes—
438#95C22×D314yes—
439C23×C3C2511yescharacteristic
440C22×D3—22no—
441C22×D3—22no—
442C22×D3—22no—
443C22×D3—24no—
444C22×D3—22no—
445C22×D3—24no—
446C22×D3—22no—
447C22×D3C22×D412yes—
448C22×D3H(5,𝔽2)12yes—
449C22×D32−1+412yes—
450C3×Q8—28no—
451C2×C3×C4—22no—
452C2×C3×C4—22no—
453C2×C3×C4—22no—
454C2×C3×C4—21no—
455C2×C3×C4—21no—
456C2×C3×C4—22no—
457C2×C3×C4—22no—
458C2×C3×C4—22no—
459C2×C3×C4—24no—
460C2×C3×C4—24no—
461C2×C3×C4—22no—
462C2×C3×C4—24no—
463C2×C3×C4—22no—
464C2×C3×C4—24no—
465C2×C3×C4—22no—
466C2×C3×C4—22no—
467C2×C3×C4C22×D412yes—
468C2×C3×C4C22×D412yes—
469C2×C3×C4C22×D412yes—
470C2×C3×C4C2×#4114yes—
471C2×C3×C42−1+414yes—
472C2×Dic3—22no—
473C2×Dic3—22no—
474C2×Dic3—21no—
475C2×Dic3—22no—
476C2×Dic3—21no—
477C2×Dic3—22no—
478C2×Dic3—22no—
479C2×Dic3—24no—
480C2×Dic3—24no—
481C2×Dic3—22no—
482C2×Dic3—24no—
483C2×Dic3—24no—
484C2×Dic3—22no—
485C2×Dic3C22×D412yes—
486C2×Dic3C22×D412yes—
487C2×Dic3C22×D412yes—
488C2×Dic3C2×#4114yes—
489C2×Dic3C2×#4114yes—
490D12—48no—
491D12—44no—
492C4×D3—216no—
493C4×D3—28no—
494C4×D3—28no—
495C4×D3—28no—
496C4×D3—48no—
497C4×D3—48no—
498Dic6—28no—
499Dic6—216no—
500Dic6—44no—
501C24—31no—
502C24—32no—
503C2×Q8—22no—
504C2×Q8—24no—
505C2×Q8—38no—
506C2×Q8—64no—
507C2×Q8—64no—
508C2×Q8—64no—
509C2×Q8—632no—
510C2×Q8—62no—
511C2×Q8—62no—
512C2×Q8—64no—
513C2×D4—64no—
514C2×D4—64no—
515C2×D4—64no—
516C2×D4—62no—
517C2×D4—64no—
518C22×C4—31no—
519C22×C4—31no—
520C22×C4—32no—
521C22×C4—31no—
522C22×C4—34no—
523C22×C4—34no—
524C22×C4—34no—
525C22×C4—32no—
526C22×C4—34no—
527C22×C4—32no—
528C22×C4—64no—
529C22×C4—64no—
530C22×C4—64no—
531C22×C4—68no—
532C22×C4—64no—
533C22×C4—62no—
534C22×C4—62no—
535C22×C4—64no—
536C22×C4—64no—
537C22×C4—64no—
538C22×C4—64no—
539C22×C4—64no—
540C22×C4C23×D314yes—
541C22×C4C23×D312yes—
542C22×C4C23×D312yes—
543C22×C4C23×D312yes—
544C22×C4C23×D311yescharacteristic
545C22×C4C23×D311yescharacteristic
546C22×C4C23×D312yes—
547C22×C4C23×D311yescharacteristic
548C4⋊C4—24no—
549C4⋊C4—22no—
550C4⋊C4—24no—
551C4⋊C4—22no—
552C4⋊C4—24no—
553C4⋊C4—22no—
554C4⋊C4—24no—
555C4⋊C4—28no—
556C4⋊C4—44no—
557C4⋊C4—64no—
558C4⋊C4—64no—
559C4⋊C4—64no—
560C4⋊C4—64no—
561C4⋊C4—64no—
562C4⋊C4—68no—
563C4⋊C4—68no—
564C4⋊C4—64no—
565C4⋊C4—62no—
566C4⋊C4—64no—
567C4⋊C4—124no—
568C4⋊C4—124no—
569C22⋊C4—64no—
570C22⋊C4—64no—
571C22⋊C4—68no—
572C22⋊C4—68no—
573C22⋊C4—64no—
574C22⋊C4—64no—
575C22⋊C4—64no—
576C22⋊C4—68no—
577C22⋊C4—124no—
578C22⋊C4—124no—
579C42—24no—
580C42—34no—
581C42—34no—
582C42—34no—
583C42—42no—
584C42—64no—
585C42—64no—
586C42—64no—
587C42—64no—
588C42—122no—
589C42D3×D414yes—
590C22×C3C23×D411yescharacteristic
591C22×C3C22×#4112yes—
592C22×C3C2×H(5,𝔽2)11yescharacteristic
593C22×C3C2×2−1+412yes—
594C22×C3C2×2−1+411yescharacteristic
595C2×D3—22no—
596C2×D3—22no—
597C2×D3—24no—
598C2×D3—24no—
599C2×D3—42no—
600C2×D3—42no—
601C2×D3—42no—
602C2×D3—44no—
603C2×D3—44no—
604C2×D3#53714yes—
605C3×C4—22no—
606C3×C4—24no—
607C3×C4—22no—
608C3×C4—42no—
609C3×C4—42no—
610C3×C4—42no—
611C3×C4—44no—
612C3×C4#53614yes—
613Dic3—24no—
614Dic3—22no—
615Dic3—22no—
616Dic3—42no—
617Dic3—42no—
618Dic3—44no—
619Dic3#52514yes—
620C23—32no—
621C23—32no—
622C23—32no—
623C23—62no—
624C23—62no—
625C23—62no—
626C23—64no—
627C23—64no—
628C23—62no—
629C23—62no—
630C23C24×D311yescharacteristic
631Q8—28no—
632Q8—616no—
633Q8—68no—
634Q8—124no—
635D4—128no—
636D4—124no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—32no—
654C2×C4—34no—
655C2×C4—32no—
656C2×C4—32no—
657C2×C4—34no—
658C2×C4—68no—
659C2×C4—68no—
660C2×C4—616no—
661C2×C4—62no—
662C2×C4—62no—
663C2×C4—62no—
664C2×C4—61no—
665C2×C4—61no—
666C2×C4—68no—
667C2×C4—62no—
668C2×C4—62no—
669C2×C4—64no—
670C2×C4—64no—
671C2×C4—64no—
672C2×C4—64no—
673C2×C4—62no—
674C2×C4—62no—
675C2×C4—128no—
676C2×C4—128no—
677C2×C4C2×D3×D412yes—
678C2×C4C2×D3×D412yes—
679C2×C4C2×D3×D412yes—
680C2×C4#100714yes—
681C2×C4D3×#4114yes—
682C2×C3C2×#52511yescharacteristic
683C2×C3C2×#53611yescharacteristic
684C2×C3C2×#53711yescharacteristic
685C2×C3#352212yes—
686C2×C3#352312yes—
687D3—24no—
688D3—82no—
689C22—34no—
690C22—62no—
691C22—64no—
692C22—62no—
693C22—64no—
694C22—122no—
695C22—122no—
696C22—124no—
697C22—122no—
698C22—124no—
699C22C22×D3×D411yescharacteristic
700C22C2×#100712yes—
701C22C2×D3×#4112yes—
702C22D3×H(5,𝔽2)11yescharacteristic
703C22D3×2−1+411yescharacteristic
704C4—22no—
705C4—24no—
706C4—22no—
707C4—34no—
708C4—42no—
709C4—42no—
710C4—42no—
711C4—44no—
712C4—64no—
713C4—62no—
714C4—62no—
715C4—122no—
716C4—124no—
717C4—122no—
718C4#572414yes—
719C3#3524711yescharacteristic, complemented, Sylow
720C2—64no—
721C2—242no—
722C2D3×#52511yescharacteristic
723C2C2×#572411yescharacteristic
724C2D3×#53711yescharacteristic
725C2#8693612yes—
726C2#8702512yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2584C2
prime radicalC2×#895C22
hypercenter#2584D3
hypocenterC3#35247
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2584

Complements

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

NH ≅ G/Ntype
2. C2×C4×D3×Q8C2semidirect
3. C3×#2584C2semidirect
4. #83041C2semidirect
5. #82484C2semidirect
6. #77825C2semidirect
7. #77764C2semidirect
8. #77205C2semidirect
9. #77172C2semidirect
10. #76287C2semidirect
12. #76208C2semidirect
13. #76077C2semidirect
14. #76059C2semidirect
15. #75971C2semidirect
16. #73753C2semidirect
17. #73735C2semidirect
95. #2584D3semidirect
719. C3#35247semidirect

Maximal subgroups

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

subgroupindex
C2×#56912
C2×C4×D3×Q82
C3×#25842
#830412
#824842
#778252
#777642
#772052
#771722
#762872
#762862
#762082
#760772
#760592
#759712
#737532
#737352
#352473