Finite Group Databasebeta

← #11002014

Subgroups — #11002014

Order 768.

2630 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5617C211yesmaximal, characteristic, complemented
2C22×#894C211yesmaximal, characteristic, complemented
3C3×#2618C211yesmaximal, characteristic, complemented
4#82900C212yesmaximal, complemented
5#82895C212yesmaximal, complemented
6#82723C211yesmaximal, characteristic, complemented
7#82183C211yesmaximal, characteristic, complemented
8#77849C214yesmaximal, complemented
9#77426C214yesmaximal, complemented
10#77348C214yesmaximal, complemented
11#77131C214yesmaximal, complemented
12#74887C212yesmaximal, complemented
13#74738C212yesmaximal, complemented
14#74049C211yesmaximal, characteristic, complemented
15#74005C211yesmaximal, characteristic, complemented
16#36709—31nomaximal, Sylow
17C23×D12C2211yescharacteristic
18C23×C4×D3C2211yescharacteristic
19C2×C3×#123C2212yes—
20C2×C3×#121C2211yescharacteristic
21C22×C3×C4⋊C4C2211yescharacteristic
22C2×#939C2212yescomplemented
23C2×#938C2212yescomplemented
24C2×#937C2212yes—
25C2×#937C2212yes—
26C2×D4×Dic3C2212yes—
27C22×(C2×D3)⋊C4C2211yescharacteristic
28C22×(C2×D3)⋊C4C2211yescharacteristic
29C22×(C2×D3)⋊C4C2211yescharacteristic
30C2×#924C2211yescharacteristic
31C22×Dic3⋊C4C2211yescharacteristic
32#5617—28no—
33C2×#898C2212yescomplemented
34C2×#897C2212yescomplemented
35C2×#894—28no—
36C2×#894C2214yes—
37C2×#894C2214yes—
38C2×#886C2212yescomplemented
39C2×#885C2212yescomplemented
40C2×#884C2214yes—
41C2×D3×C22⋊C4C2212yes—
42C3×#398C2212yescomplemented
43C3×#396C2214yescomplemented
44C3×#394C2212yescomplemented
45C3×#386C2212yes—
46C3×#380C2211yescharacteristic
47#5220C2212yes—
48#5212C2211yescharacteristic
49#5211C2212yes—
50#5210C2212yes—
51#4994C2214yescomplemented
52#4992C2214yescomplemented
53#4990C2214yescomplemented
54#4989C2214yescomplemented
55#4987C2212yescomplemented
56#4987C2214yescomplemented
57#4987C2212yescomplemented
58#4986C2212yescomplemented
59#4982C2214yescomplemented
60#4979C2212yescomplemented
61#4961C2214yescomplemented
62#4960C2214yes—
63#4959C2214yescomplemented
64#4958C2214yescomplemented
65#4956C2214yescomplemented
66#4956C2214yescomplemented
67#4955C2212yes—
68#4950C2212yes—
69#4949C2214yescomplemented
70#4942C2212yes—
71#4942C2214yescomplemented
72#4672C2214yes—
73#4668C2214yescomplemented
74#4668C2214yescomplemented
75#4665C2214yes—
76#4660C2214yescomplemented
77#4647C2214yescomplemented
78C2×#538—31no—
79C22×#123—31no—
80#2848—31no—
81#2847—31no—
82#2695—34no—
83#2693—34no—
84#2672—34no—
85#2671—34no—
86#2627—31no—
87#2618D311yescharacteristic, complemented
88#2534—32no—
89#2487—32no—
90#2412—32no—
91#2410—32no—
92#2315—31no—
93C24×D3C2311yescharacteristic
94C24×D3C2311yescharacteristic
95C22×C3×D4C2312yes—
96C22×C3×D4C2311yescharacteristic
97C23×C3×C4C2311yescharacteristic
98C23×C3×C4C2311yescharacteristic
99C23×C3×C4C2311yescharacteristic
100C22×#67C2312yes—
101C22×#67C2314yes—
102C22×#67C2312yes—
103C23×Dic3C2311yescharacteristic
104C23×Dic3C2312yes—
105C23×Dic3C2311yescharacteristic
106C22×D12—24no—
107C22×D12—44no—
108C22×D12C2314yes—
109C22×C4×D3—24no—
110C22×C4×D3—44no—
111C22×C4×D3C2312yes—
112C22×C4×D3C2312yes—
113C22×C4×D3C2314yes—
114C22×Dic6C2311yescharacteristic
115C3×#123—44no—
116C3×#121—24no—
117C2×C3×C4⋊C4—24no—
118C2×C3×C4⋊C4C2312yes—
119C2×C3×C4⋊C4C2312yes—
120C2×C3×C4⋊C4C2311yescharacteristic
121C2×C3×C4⋊C4C2312yes—
122C2×C3×C4⋊C4C2314yes—
123C2×C3×C22⋊C4C2312yes—
124C2×C3×C22⋊C4C2312yes—
125C2×C3×C22⋊C4C2314yes—
126C2×C3×C22⋊C4C2314yes—
127C2×#217C2312yes—
128C2×#217C2312yes—
129C2×#217C2312yes—
130C2×#217C2314yes—
131#939—28no—
132#938—44no—
133#937—28no—
134#937—44no—
135D4×Dic3—28no—
136C2×(C2×D3)⋊C4—24no—
137C2×(C2×D3)⋊C4—24no—
138C2×(C2×D3)⋊C4D418yescomplemented
139C2×(C2×D3)⋊C4C2312yes—
140C2×(C2×D3)⋊C4C2314yes—
141C2×(C2×D3)⋊C4C2312yes—
142C2×(C2×D3)⋊C4C2314yes—
143C2×(C2×D3)⋊C4C2314yes—
144C2×(C2×D3)⋊C4C2314yes—
145C2×(C2×D3)⋊C4C2314yes—
146C2×(C2×D3)⋊C4C2314yes—
147C2×(C2×D3)⋊C4C2312yes—
148C2×(C2×D3)⋊C4C2312yes—
149C2×C4⋊Dic3C2312yes—
150C2×C4⋊Dic3C2311yescharacteristic
151C2×C4⋊Dic3C2314yes—
152C2×C4⋊Dic3C2312yes—
153#924—24no—
154C2×Dic3⋊C4—24no—
155C2×Dic3⋊C4C2314yes—
156C2×Dic3⋊C4C2312yes—
157C2×Dic3⋊C4C2314yes—
158C2×Dic3⋊C4C2314yes—
159C2×C4×Dic3C2312yes—
160#898—28no—
161#897—44no—
162#894—216no—
163#894—216no—
164#886—28no—
165#885—28no—
166#884—48no—
167D3×C22⋊C4—44no—
168C3×#95C2314yes—
169C3×#95C2312yes—
170C3⋊#95C2314yes—
171C3⋊#95C2314yes—
172C3⋊#95C2314yes—
173C3⋊#95C2314yes—
174C3⋊#95C2314yes—
175C3⋊#95C2314yes—
176C3⋊#95C2312yes—
177C23×D4—31no—
178C24×C4—31no—
179#538—68no—
180C2×#126—32no—
181C2×#124—32no—
182C2×#123—34no—
183C2×#123—34no—
184C2×#123—32no—
185C2×#123—68no—
186C2×#123C2×D312yes—
187C2×C22⋊Q8—31no—
188C2×C22⋊Q8—32no—
189C2×#121—32no—
190C2×#121—32no—
191C2×#121—34no—
192C2×#121C2×D311yescharacteristic
193C2×#120—32no—
194C2×#120—32no—
195C2×C4×D4—32no—
196C22×C4⋊C4—31no—
197C22×C4⋊C4C2×D311yescharacteristic
198C22×C22⋊C4—31no—
199C22×C22⋊C4—31no—
200C22×C22⋊C4—31no—
201C22×C22⋊C4—32no—
202#400—32no—
203#400—34no—
204#399—34no—
205#398—34no—
206#398C2×D312yescomplemented
207#397—34no—
208#396—34no—
209#396C2×D314yescomplemented
210#395—32no—
211#394—34no—
212#394—34no—
213#394—34no—
214#394C2×D312yescomplemented
215#392—34no—
216#389—34no—
217#388—34no—
218#386—32no—
219#386—34no—
220#386—34no—
221#386—34no—
222#386—34no—
223#386C2×D312yes—
224#385—32no—
225#385—34no—
226#385—32no—
227#385—34no—
228#385—34no—
229#381—32no—
230#380—31no—
231#380—32no—
232#380—32no—
233#380—34no—
234#380—32no—
235#380—34no—
236#380C2×D311yescharacteristic
237#379—32no—
238C24×C3C2412yes—
239C24×C3C2411yescharacteristic
240C23×D3—22no—
241C23×D3—22no—
242C23×D3—22no—
243C23×D3—24no—
244C23×D3—22no—
245C23×D3—22no—
246C23×D3—42no—
247C23×D3—42no—
248C23×D3—42no—
249C23×D3C2×D414yes—
250C23×D3C2412yes—
251C23×D3C2412yes—
252C2×C3×D4—24no—
253C2×C3×D4—24no—
254C2×C3×D4—24no—
255C2×C3×D4—22no—
256C2×C3×D4—42no—
257C22×C3×C4—22no—
258C22×C3×C4—22no—
259C22×C3×C4—22no—
260C22×C3×C4—22no—
261C22×C3×C4—42no—
262C22×C3×C4—42no—
263C22×C3×C4C2×D414yes—
264C22×C3×C4C2412yes—
265C22×C3×C4C2412yes—
266C22×C3×C4C2412yes—
267C22×C3×C4C2414yes—
268C22×C3×C4C2411yescharacteristic
269C22×C3×C4C2411yescharacteristic
270C2×#67—24no—
271C2×#67—24no—
272C2×#67—28no—
273C2×#67—44no—
274C2×#67—44no—
275C2×#67—44no—
276C2×#67—44no—
277C22×Dic3—22no—
278C22×Dic3—24no—
279C22×Dic3—42no—
280C22×Dic3—42no—
281C22×Dic3—44no—
282C22×Dic3C2×D414yes—
283C22×Dic3C2414yes—
284C22×Dic3C2412yes—
285C22×Dic3C2412yes—
286C22×Dic3C2412yes—
287C22×Dic3C2412yes—
288C2×D12—28no—
289C2×D12—28no—
290C2×D12—44no—
291C2×D12—416no—
292C2×C4×D3—24no—
293C2×C4×D3—24no—
294C2×C4×D3—24no—
295C2×C4×D3—24no—
296C2×C4×D3—42no—
297C2×C4×D3—42no—
298C2×C4×D3—416no—
299C2×C4×D3—44no—
300C2×C4×D3—44no—
301C2×C4×D3—44no—
302C2×Dic6—22no—
303C2×Dic6—42no—
304C3×C4⋊C4—24no—
305C3×C4⋊C4—24no—
306C3×C4⋊C4—22no—
307C3×C4⋊C4—42no—
308C3×C4⋊C4—44no—
309C3×C22⋊C4—24no—
310C3×C22⋊C4—24no—
311C3×C22⋊C4—44no—
312C3×C22⋊C4—44no—
313#217—24no—
314#217—24no—
315#217—24no—
316#217—44no—
317(C2×D3)⋊C4—24no—
318(C2×D3)⋊C4—24no—
319(C2×D3)⋊C4—28no—
320(C2×D3)⋊C4—28no—
321(C2×D3)⋊C4—28no—
322(C2×D3)⋊C4—44no—
323(C2×D3)⋊C4—44no—
324(C2×D3)⋊C4—44no—
325(C2×D3)⋊C4C2×D418yes—
326(C2×D3)⋊C4C2×D418yes—
327C4⋊Dic3—22no—
328C4⋊Dic3—24no—
329C4⋊Dic3—44no—
330C4⋊Dic3—42no—
331Dic3⋊C4—24no—
332Dic3⋊C4—28no—
333Dic3⋊C4—44no—
334Dic3⋊C4—44no—
335C4×Dic3—24no—
336C25—31no—
337C25—31no—
338C22×Q8—31no—
339C22×D4—32no—
340C22×D4—34no—
341C22×D4—32no—
342C22×D4—34no—
343C22×D4—64no—
344C22×D4—124no—
345C22×D4C22×D312yes—
346C22×D4C22×D311yescharacteristic
347C23×C4—31no—
348C23×C4—31no—
349C23×C4—32no—
350C23×C4—32no—
351C23×C4—32no—
352C23×C4—34no—
353C23×C4—64no—
354C23×C4—124no—
355C23×C4C22×D311yescharacteristic
356C23×C4C22×D311yescharacteristic
357C23×C4C22×D311yescharacteristic
358#126—68no—
359#124—68no—
360#123—44no—
361#123—68no—
362#123—616no—
363#123—616no—
364C22⋊Q8—64no—
365C22⋊Q8—124no—
366#121—24no—
367#121—68no—
368#121—128no—
369#121—124no—
370#120—68no—
371#120—124no—
372C4×D4—68no—
373C2×C4⋊C4—24no—
374C2×C4⋊C4—34no—
375C2×C4⋊C4—32no—
376C2×C4⋊C4—32no—
377C2×C4⋊C4—31no—
378C2×C4⋊C4—32no—
379C2×C4⋊C4—34no—
380C2×C4⋊C4—34no—
381C2×C4⋊C4—34no—
382C2×C4⋊C4—64no—
383C2×C4⋊C4C22×D312yes—
384C2×C4⋊C4C22×D312yes—
385C2×C4⋊C4C22×D311yescharacteristic
386C2×C4⋊C4C22×D312yes—
387C2×C4⋊C4C22×D314yes—
388C2×C22⋊C4—38no—
389C2×C22⋊C4—32no—
390C2×C22⋊C4—32no—
391C2×C22⋊C4—32no—
392C2×C22⋊C4—32no—
393C2×C22⋊C4—32no—
394C2×C22⋊C4—34no—
395C2×C22⋊C4—34no—
396C2×C22⋊C4—32no—
397C2×C22⋊C4—32no—
398C2×C22⋊C4—34no—
399C2×C22⋊C4—34no—
400C2×C22⋊C4—34no—
401C2×C22⋊C4—34no—
402C2×C22⋊C4—34no—
403C2×C22⋊C4—64no—
404C2×C22⋊C4—64no—
405C2×C22⋊C4—124no—
406C2×C22⋊C4C22×D312yes—
407C2×C22⋊C4C22×D312yes—
408C2×C22⋊C4C22×D314yes—
409C2×C22⋊C4C22×D314yes—
410C2×C42—32no—
411#95—34no—
412#95—34no—
413#95—34no—
414#95—32no—
415#95—34no—
416#95—34no—
417#95—34no—
418#95C22×D312yes—
419#95C22×D314yes—
420C23×C3—22no—
421C23×C3—22no—
422C23×C3—22no—
423C23×C3—24no—
424C23×C3—22no—
425C23×C3—22no—
426C23×C3—24no—
427C23×C3C22×D412yes—
428C23×C3H(5,𝔽2)12yes—
429C23×C32−1+412yes—
430C23×C3C2511yescharacteristic
431C22×D3—28no—
432C22×D3—22no—
433C22×D3—22no—
434C22×D3—22no—
435C22×D3—22no—
436C22×D3—24no—
437C22×D3—22no—
438C22×D3—22no—
439C22×D3—22no—
440C22×D3—24no—
441C22×D3—22no—
442C22×D3—28no—
443C22×D3—44no—
444C22×D3—44no—
445C22×D3—48no—
446C22×D3—48no—
447C22×D3—44no—
448C22×D3—44no—
449C22×D3—84no—
450C22×D3—84no—
451C22×D3C22×D414yes—
452C22×D3H(5,𝔽2)14yes—
453C3×D4—48no—
454C3×D4—82no—
455C2×C3×C4—22no—
456C2×C3×C4—22no—
457C2×C3×C4—22no—
458C2×C3×C4—22no—
459C2×C3×C4—22no—
460C2×C3×C4—24no—
461C2×C3×C4—24no—
462C2×C3×C4—22no—
463C2×C3×C4—24no—
464C2×C3×C4—22no—
465C2×C3×C4—22no—
466C2×C3×C4—22no—
467C2×C3×C4—24no—
468C2×C3×C4—44no—
469C2×C3×C4—44no—
470C2×C3×C4—44no—
471C2×C3×C4C22×D412yes—
472C2×C3×C4C22×D412yes—
473#67—84no—
474#67—84no—
475#67—88no—
476C2×Dic3—24no—
477C2×Dic3—22no—
478C2×Dic3—22no—
479C2×Dic3—22no—
480C2×Dic3—24no—
481C2×Dic3—24no—
482C2×Dic3—22no—
483C2×Dic3—24no—
484C2×Dic3—22no—
485C2×Dic3—24no—
486C2×Dic3—24no—
487C2×Dic3—44no—
488C2×Dic3—44no—
489C2×Dic3—84no—
490C2×Dic3C22×D414yes—
491D12—416no—
492C4×D3—48no—
493C4×D3—48no—
494C4×D3—88no—
495Dic6—82no—
496C24—32no—
497C24—32no—
498C24—34no—
499C24—64no—
500C24—62no—
501C24—62no—
502C24—62no—
503C24—62no—
504C24—62no—
505C24—122no—
506C24—122no—
507C24—122no—
508C24C23×D312yes—
509C24C23×D311yescharacteristic
510C2×Q8—62no—
511C2×Q8—122no—
512C2×D4—24no—
513C2×D4—24no—
514C2×D4—24no—
515C2×D4—22no—
516C2×D4—42no—
517C2×D4—68no—
518C2×D4—68no—
519C2×D4—64no—
520C2×D4—64no—
521C2×D4—68no—
522C2×D4—124no—
523C2×D4—1216no—
524C2×D4—124no—
525C2×D4—124no—
526C2×D4—124no—
527C2×D4—124no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—32no—
533C22×C4—34no—
534C22×C4—32no—
535C22×C4—34no—
536C22×C4—32no—
537C22×C4—32no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—64no—
541C22×C4—64no—
542C22×C4—64no—
543C22×C4—62no—
544C22×C4—64no—
545C22×C4—64no—
546C22×C4—122no—
547C22×C4—122no—
548C22×C4—124no—
549C22×C4—124no—
550C22×C4—124no—
551C22×C4—1216no—
552C22×C4—122no—
553C22×C4—122no—
554C22×C4—124no—
555C22×C4D3×D414yes—
556C22×C4C23×D312yes—
557C22×C4C23×D312yes—
558C22×C4C23×D314yes—
559C22×C4C23×D312yes—
560C22×C4C23×D311yescharacteristic
561C22×C4C23×D311yescharacteristic
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—22no—
565C4⋊C4—42no—
566C4⋊C4—44no—
567C4⋊C4—68no—
568C4⋊C4—64no—
569C4⋊C4—64no—
570C4⋊C4—62no—
571C4⋊C4—124no—
572C4⋊C4—122no—
573C4⋊C4—124no—
574C4⋊C4—124no—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—38no—
578C22⋊C4—38no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—68no—
582C22⋊C4—68no—
583C22⋊C4—64no—
584C22⋊C4—64no—
585C22⋊C4—68no—
586C22⋊C4—64no—
587C22⋊C4—64no—
588C22⋊C4—64no—
589C22⋊C4—124no—
590C22⋊C4—124no—
591C22⋊C4—124no—
592C22⋊C4—124no—
593C42—64no—
594C22×C3—22no—
595C22×C3—22no—
596C22×C3—24no—
597C22×C3—24no—
598C22×C3—42no—
599C22×C3—42no—
600C22×C3—42no—
601C22×C3—44no—
602C22×C3—44no—
603C22×C3#53714yes—
604C22×C3C23×D411yescharacteristic
605C22×C3C2×H(5,𝔽2)11yescharacteristic
606C22×C3C2×H(5,𝔽2)12yes—
607C22×C3C2×2−1+411yescharacteristic
608C22×C3#58512yes—
609C2×D3—24no—
610C2×D3—24no—
611C2×D3—24no—
612C2×D3—24no—
613C2×D3—24no—
614C2×D3—24no—
615C2×D3—416no—
616C2×D3—42no—
617C2×D3—42no—
618C2×D3—44no—
619C2×D3—42no—
620C2×D3—42no—
621C2×D3—44no—
622C2×D3—88no—
623C3×C4—22no—
624C3×C4—22no—
625C3×C4—42no—
626C3×C4—42no—
627C3×C4—42no—
628C3×C4—44no—
629Dic3—24no—
630Dic3—42no—
631Dic3—42no—
632Dic3—42no—
633Dic3—44no—
634C23—22no—
635C23—22no—
636C23—22no—
637C23—22no—
638C23—22no—
639C23—24no—
640C23—24no—
641C23—34no—
642C23—34no—
643C23—68no—
644C23—62no—
645C23—62no—
646C23—62no—
647C23—62no—
648C23—62no—
649C23—62no—
650C23—64no—
651C23—62no—
652C23—64no—
653C23—62no—
654C23—68no—
655C23—124no—
656C23—124no—
657C23—128no—
658C23—128no—
659C23—124no—
660C23—124no—
661C23—244no—
662C23—244no—
663C23C2×D3×D412yes—
664C23#100412yes—
665C23#101012yes—
666C23C24×D311yescharacteristic
667Q8—242no—
668D4—48no—
669D4—82no—
670D4—1216no—
671D4—244no—
672D4—244no—
673D4—248no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—24no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—24no—
685C2×C4—24no—
686C2×C4—24no—
687C2×C4—34no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—64no—
692C2×C4—62no—
693C2×C4—62no—
694C2×C4—62no—
695C2×C4—64no—
696C2×C4—64no—
697C2×C4—62no—
698C2×C4—64no—
699C2×C4—62no—
700C2×C4—64no—
701C2×C4—64no—
702C2×C4—128no—
703C2×C4—128no—
704C2×C4—124no—
705C2×C4—124no—
706C2×C4—248no—
707C2×C4—244no—
708C2×C4C2×D3×D412yes—
709C2×C4C2×D3×D412yes—
710C2×C3—24no—
711C2×C3—82no—
712C2×C3C2×#53711yescharacteristic
713C2×C3#348411yescharacteristic
714C2×C3#348511yescharacteristic
715C2×C3#353412yes—
716C2×C3#353512yes—
717D3—44no—
718D3—44no—
719C22—22no—
720C22—22no—
721C22—24no—
722C22—24no—
723C22—42no—
724C22—42no—
725C22—44no—
726C22—42no—
727C22—44no—
728C22—64no—
729C22—64no—
730C22—64no—
731C22—64no—
732C22—64no—
733C22—64no—
734C22—1216no—
735C22—122no—
736C22—124no—
737C22—122no—
738C22—122no—
739C22—122no—
740C22—124no—
741C22—248no—
742C22#560814yes—
743C22C22×D3×D411yescharacteristic
744C22C2×#100411yescharacteristic
745C22C2×#101011yescharacteristic
746C22D3×H(5,𝔽2)12yes—
747C22#596812yes—
748C4—22no—
749C4—22no—
750C4—42no—
751C4—44no—
752C4—42no—
753C4—42no—
754C4—64no—
755C4—122no—
756C4—122no—
757C4—122no—
758C4—124no—
759C3#3670911yescharacteristic, complemented, Sylow
760C2—24no—
761C2—82no—
762C2—124no—
763C2—124no—
764C2C2×#560811yescharacteristic
765C2#8630811yescharacteristic
766C2#8635411yescharacteristic
767C2#8638312yes—
768C2#8646112yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2618C2
hypercenter#2618D3
hypocenterC3#36709
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2618

Complements

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

NH ≅ G/Ntype
1. C2×#5617C2semidirect
2. C22×#894C2semidirect
3. C3×#2618C2semidirect
4. #82900C2semidirect
5. #82895C2semidirect
6. #82723C2semidirect
7. #82183C2semidirect
8. #77849C2semidirect
9. #77426C2semidirect
10. #77348C2semidirect
11. #77131C2semidirect
12. #74887C2semidirect
13. #74738C2semidirect
14. #74049C2semidirect
15. #74005C2semidirect
22. C2×#939C22semidirect
23. C2×#938C22semidirect
33. C2×#898C22semidirect
34. C2×#897C22semidirect
38. C2×#886C22semidirect
39. C2×#885C22semidirect
42. C3×#398C22semidirect
43. C3×#396C22semidirect
44. C3×#394C22semidirect
51. #4994C22semidirect
52. #4992C22semidirect
53. #4990C22semidirect
54. #4989C22semidirect
55. #4987C22semidirect
56. #4987C22semidirect
57. #4987C22semidirect
58. #4986C22semidirect
59. #4982C22semidirect
60. #4979C22semidirect
61. #4961C22semidirect
63. #4959C22semidirect
64. #4958C22semidirect
65. #4956C22semidirect
66. #4956C22semidirect
69. #4949C22semidirect
71. #4942C22semidirect
73. #4668C22semidirect
74. #4668C22semidirect
76. #4660C22semidirect
77. #4647C22semidirect
87. #2618D3semidirect
138. C2×(C2×D3)⋊C4D4semidirect
206. #398C2×D3semidirect
209. #396C2×D3semidirect
214. #394C2×D3semidirect
759. C3#36709semidirect

Maximal subgroups

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

subgroupindex
C2×#56172
C22×#8942
C3×#26182
#829002
#828952
#827232
#821832
#778492
#774262
#773482
#771312
#748872
#747382
#740492
#740052
#367093