Finite Group Databasebeta

← #10967778

Subgroups — #10967778

Order 768.

2866 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×#5634C211yesmaximal, characteristic, complemented
2C22×C4×D12C211yesmaximal, characteristic
3C3×#2855C211yesmaximal, characteristic, complemented
4#82822C211yesmaximal, characteristic, complemented
5#82075C211yesmaximal, characteristic, complemented
6#76628C214yesmaximal, complemented
7#76225C214yesmaximal, complemented
8#75322C214yesmaximal, complemented
9#75321C214yesmaximal, complemented
10#74655C212yesmaximal, complemented
11D3×#385C212yesmaximal, complemented
12#74119C212yesmaximal
13#74090C212yesmaximal, complemented
14#74005C211yesmaximal, characteristic, complemented
15#73952C211yesmaximal, characteristic, complemented
16#34985—31nomaximal, Sylow
17C23×D12C2211yescharacteristic
18C23×C4×D3C2211yescharacteristic
19C23×C4×D3C2211yescharacteristic
20C2×C3×C22⋊Q8C2211yescharacteristic
21C22×C3×C42C2211yescharacteristic
22C2×#946C2212yescomplemented
23C22×(C2×D3)⋊C4C2211yescharacteristic
24C22×(C2×D3)⋊C4C2211yescharacteristic
25C22×C4⋊Dic3C2211yescharacteristic
26C2×#924C2211yescharacteristic
27#5634—28no—
28C2×#897C2212yescomplemented
29C2×#896C2212yescomplemented
30C2×#896C2212yescomplemented
31C2×#896C2214yescomplemented
32C2×D3×C4⋊C4C2214yescomplemented
33C2×D3×C22⋊C4C2212yes—
34C2×D3×C22⋊C4C2212yes—
35C2×#878C2212yes—
36C2×C4×D12—28no—
37C2×C4×D12C2214yes—
38C2×C4×D12C2214yes—
39C3×#391C2212yescomplemented
40C3×#389C2212yescomplemented
41C3×#387C2214yescomplemented
42C3×#385C2212yes—
43C3×#381C2212yes—
44C3×#380C2211yescharacteristic
45#5231C2212yescomplemented
46#5212C2211yescharacteristic
47#5211C2212yes—
48#5210C2212yes—
49#4994C2214yescomplemented
50#4994C2214yescomplemented
51#4993C2212yescomplemented
52#4989C2214yescomplemented
53#4989C2214yescomplemented
54#4989C2214yescomplemented
55#4955C2212yes—
56#4955C2212yes—
57#4950C2212yes—
58#4946C2212yes—
59#4942C2212yes—
60#4933C2214yescomplemented
61#4929C2212yescomplemented
62#4928C2212yescomplemented
63#4677C2212yescomplemented
64#4673C2212yescomplemented
65#4668C2214yescomplemented
66#4668C2214yescomplemented
67#4668C2214yescomplemented
68#4667C2214yescomplemented
69#4665C2214yes—
70#4665C2214yes—
71#4665C2214yes—
72#4665C2214yes—
73D3×#95C2214yescomplemented
74#4661C2214yescomplemented
75#4660C2214yescomplemented
76#4657C2214yescomplemented
77#4656C2214yescomplemented
78C2×#543—31no—
79C22×C4×D4—31no—
80#2855—31no—
81#2855D311yescharacteristic, complemented
82#2848—32no—
83#2627—32no—
84#2626—31no—
85#2626—31no—
86#2450—34no—
87#2450—34no—
88#2449—34no—
89#2449—34no—
90#2315—31no—
91#2308—32no—
92C2×#385—32no—
93C24×D3C2311yescharacteristic
94C24×D3C2311yescharacteristic
95C22×C3×Q8C2311yescharacteristic
96C23×C3×C4C2311yescharacteristic
97C23×C3×C4C2311yescharacteristic
98C23×C3×C4C2311yescharacteristic
99C23×Dic3C2311yescharacteristic
100C23×Dic3C2311yescharacteristic
101C22×D12—24no—
102C22×D12—24no—
103C22×D12Q818yescomplemented
104C22×D12C2314yes—
105C22×C4×D3—24no—
106C22×C4×D3—24no—
107C22×C4×D3—44no—
108C22×C4×D3—44no—
109C22×C4×D3C2314yes—
110C22×C4×D3C2314yes—
111C22×C4×D3C2312yes—
112C22×C4×D3C2314yes—
113C22×C4×D3C2312yes—
114C22×Dic6C2312yes—
115C22×Dic6C2311yescharacteristic
116C3×C22⋊Q8—24no—
117C2×C3×C4⋊C4C2314yes—
118C2×C3×C4⋊C4C2311yescharacteristic
119C2×C3×C4⋊C4C2312yes—
120C2×C3×C4⋊C4C2312yes—
121C2×C3×C22⋊C4C2312yes—
122C2×C3×C22⋊C4C2312yes—
123C2×C3×C42—24no—
124C2×C3×C42C2312yes—
125C2×C3×C42C2312yes—
126C2×#217C2312yes—
127C2×#217C2312yes—
128#946—28no—
129C2×(C2×D3)⋊C4—24no—
130C2×(C2×D3)⋊C4D418yes—
131C2×(C2×D3)⋊C4C2314yes—
132C2×(C2×D3)⋊C4C2312yes—
133C2×(C2×D3)⋊C4C2312yes—
134C2×(C2×D3)⋊C4C2312yes—
135C2×(C2×D3)⋊C4C2312yes—
136C2×(C2×D3)⋊C4C2314yes—
137C2×(C2×D3)⋊C4C2314yes—
138C2×(C2×D3)⋊C4C2314yes—
139C2×(C2×D3)⋊C4C2314yes—
140C2×(C2×D3)⋊C4C2312yes—
141C2×(C2×D3)⋊C4C2312yes—
142C2×C4⋊Dic3—24no—
143C2×C4⋊Dic3C2314yes—
144C2×C4⋊Dic3C2312yes—
145C2×C4⋊Dic3C2311yescharacteristic
146C2×C4⋊Dic3C2314yes—
147C2×C4⋊Dic3C2312yes—
148#924—24no—
149C2×Dic3⋊C4C2312yes—
150C2×Dic3⋊C4C2312yes—
151C2×Dic3⋊C4C2314yes—
152C2×Dic3⋊C4C2312yes—
153C2×Dic3⋊C4C2314yes—
154C2×Dic3⋊C4C2314yes—
155#897—28no—
156#896—28no—
157#896—28no—
158#896—48no—
159D3×C4⋊C4—48no—
160D3×C22⋊C4—28no—
161D3×C22⋊C4—28no—
162#878—28no—
163C4×D12—216no—
164C4×D12—216no—
165C3×#95C2314yes—
166C3×#95C2314yes—
167C3×#95C2314yes—
168C3×#95C2312yes—
169C3⋊#95C2314yes—
170C3⋊#95C2314yes—
171C3⋊#95C2314yes—
172C3⋊#95C2314yes—
173C3⋊#95C2314yes—
174C3⋊#95C2314yes—
175C3⋊#95C2312yes—
176C23×D4—31no—
177C24×C4—31no—
178C24×C4—31no—
179#543—68no—
180C2×C22⋊Q8—32no—
181C2×C22⋊Q8—31no—
182C2×C22⋊Q8—32no—
183C2×C22⋊Q8—32no—
184C2×C22⋊Q8—32no—
185C2×C22⋊Q8—34no—
186C2×C22⋊Q8—32no—
187C2×C22⋊Q8C2×D311yescharacteristic
188C2×C4×D4—34no—
189C2×C4×D4—34no—
190C2×C4×D4—68no—
191C22×C4⋊C4—31no—
192C22×C4⋊C4—34no—
193C22×C22⋊C4—31no—
194C22×C22⋊C4—31no—
195C22×C22⋊C4—32no—
196C22×C22⋊C4—32no—
197C22×C42C2×D311yescharacteristic
198#400—34no—
199#399—32no—
200#399—32no—
201#398—34no—
202#398—34no—
203#396—34no—
204#396—34no—
205#395—34no—
206#393—32no—
207#393—32no—
208#391—32no—
209#391C2×D312yescomplemented
210#389—32no—
211#389C2×D312yescomplemented
212#387—34no—
213#387C2×D314yescomplemented
214#386—34no—
215#386—34no—
216#386—34no—
217#386—34no—
218#385—32no—
219#385—34no—
220#385—34no—
221#385—34no—
222#385—32no—
223#385—32no—
224#385—34no—
225#385—34no—
226#385—34no—
227#385C2×D312yes—
228#381—32no—
229#381C2×D312yes—
230#380—31no—
231#380—32no—
232#380—34no—
233#380C2×D311yescharacteristic
234#379—32no—
235#379—32no—
236C2×#95—34no—
237C24×C3C2411yescharacteristic
238C23×D3—22no—
239C23×D3—22no—
240C23×D3—42no—
241C23×D3—42no—
242C23×D3—42no—
243C23×D3—42no—
244C23×D3C2×D414yes—
245C23×D3C2×Q814yes—
246C23×D3C2×Q814yes—
247C23×D3#4114yes—
248C23×D3C2412yes—
249C23×D3C2412yes—
250C2×C3×Q8—22no—
251C2×C3×Q8—42no—
252C22×C3×C4—22no—
253C22×C3×C4—22no—
254C22×C3×C4—22no—
255C22×C3×C4—24no—
256C22×C3×C4—42no—
257C22×C3×C4C2×D414yes—
258C22×C3×C4C2×Q814yes—
259C22×C3×C4C2414yes—
260C22×C3×C4C2412yes—
261C22×C3×C4C2412yes—
262C22×C3×C4C2411yescharacteristic
263C22×C3×C4C2411yescharacteristic
264C22×C3×C4C2412yes—
265C22×C3×C4C2412yes—
266C22×Dic3—22no—
267C22×Dic3—42no—
268C22×Dic3—42no—
269C22×Dic3C2×D414yes—
270C22×Dic3C2414yes—
271C22×Dic3C2412yes—
272C22×Dic3C2412yes—
273C22×Dic3C2412yes—
274C22×Dic3C2412yes—
275C2×D12—232no—
276C2×D12—28no—
277C2×D12—28no—
278C2×D12C2×Q8116yes—
279C2×C4×D3—28no—
280C2×C4×D3—28no—
281C2×C4×D3—28no—
282C2×C4×D3—28no—
283C2×C4×D3—28no—
284C2×C4×D3—24no—
285C2×C4×D3—24no—
286C2×C4×D3—44no—
287C2×C4×D3—44no—
288C2×C4×D3—44no—
289C2×C4×D3—44no—
290C2×C4×D3—416no—
291C2×C4×D3—416no—
292C2×C4×D3—44no—
293C2×C4×D3—44no—
294C2×Dic6—22no—
295C2×Dic6—24no—
296C2×Dic6—44no—
297C2×Dic6—42no—
298C3×C4⋊C4—22no—
299C3×C4⋊C4—24no—
300C3×C4⋊C4—28no—
301C3×C4⋊C4—42no—
302C3×C22⋊C4—24no—
303C3×C22⋊C4—24no—
304C3×C42—24no—
305C3×C42—24no—
306#217—24no—
307#217—24no—
308(C2×D3)⋊C4—24no—
309(C2×D3)⋊C4—24no—
310(C2×D3)⋊C4—28no—
311(C2×D3)⋊C4—24no—
312(C2×D3)⋊C4—24no—
313(C2×D3)⋊C4—44no—
314(C2×D3)⋊C4—44no—
315(C2×D3)⋊C4—44no—
316(C2×D3)⋊C4—44no—
317(C2×D3)⋊C4C2×D418yes—
318(C2×D3)⋊C4C2×D418yes—
319C4⋊Dic3—22no—
320C4⋊Dic3—28no—
321C4⋊Dic3—24no—
322C4⋊Dic3—44no—
323C4⋊Dic3—42no—
324Dic3⋊C4—24no—
325Dic3⋊C4—28no—
326Dic3⋊C4—24no—
327Dic3⋊C4—24no—
328Dic3⋊C4—44no—
329Dic3⋊C4—44no—
330C25—31no—
331C25—31no—
332C22×Q8—32no—
333C22×Q8—31no—
334C22×Q8C22×D311yescharacteristic
335C22×D4—38no—
336C22×D4—34no—
337C22×D4—64no—
338C22×D4—64no—
339C23×C4—31no—
340C23×C4—31no—
341C23×C4—34no—
342C23×C4—34no—
343C23×C4—32no—
344C23×C4—34no—
345C23×C4—32no—
346C23×C4—64no—
347C23×C4—64no—
348C23×C4—124no—
349C23×C4—124no—
350C23×C4C22×D311yescharacteristic
351C23×C4C22×D311yescharacteristic
352C23×C4C22×D311yescharacteristic
353C22⋊Q8—24no—
354C22⋊Q8—68no—
355C22⋊Q8—68no—
356C22⋊Q8—68no—
357C22⋊Q8—68no—
358C22⋊Q8—68no—
359C22⋊Q8—64no—
360C22⋊Q8—128no—
361C4×D4—616no—
362C4×D4—616no—
363C2×C4⋊C4—34no—
364C2×C4⋊C4—34no—
365C2×C4⋊C4—32no—
366C2×C4⋊C4—32no—
367C2×C4⋊C4—32no—
368C2×C4⋊C4—32no—
369C2×C4⋊C4—31no—
370C2×C4⋊C4—34no—
371C2×C4⋊C4—34no—
372C2×C4⋊C4—34no—
373C2×C4⋊C4—32no—
374C2×C4⋊C4—64no—
375C2×C4⋊C4—128no—
376C2×C4⋊C4C22×D314yes—
377C2×C4⋊C4C22×D312yes—
378C2×C4⋊C4C22×D311yescharacteristic
379C2×C4⋊C4C22×D312yes—
380C2×C22⋊C4—38no—
381C2×C22⋊C4—32no—
382C2×C22⋊C4—32no—
383C2×C22⋊C4—32no—
384C2×C22⋊C4—32no—
385C2×C22⋊C4—32no—
386C2×C22⋊C4—32no—
387C2×C22⋊C4—32no—
388C2×C22⋊C4—32no—
389C2×C22⋊C4—34no—
390C2×C22⋊C4—34no—
391C2×C22⋊C4—34no—
392C2×C22⋊C4—34no—
393C2×C22⋊C4—34no—
394C2×C22⋊C4—68no—
395C2×C22⋊C4—68no—
396C2×C22⋊C4—64no—
397C2×C22⋊C4C22×D312yes—
398C2×C22⋊C4C22×D312yes—
399C2×C42—24no—
400C2×C42C22×D312yes—
401C2×C42C22×D312yes—
402#95—34no—
403#95—34no—
404#95—34no—
405#95—34no—
406#95—32no—
407#95—34no—
408#95—34no—
409#95C22×D314yes—
410#95C22×D312yes—
411#95C22×D314yes—
412#95C22×D314yes—
413C23×C3—22no—
414C23×C3—22no—
415C23×C3C22×D412yes—
416C23×C3C22×Q812yes—
417C23×C3C2×#4112yes—
418C23×C3C2511yescharacteristic
419C22×D3—24no—
420C22×D3—24no—
421C22×D3—28no—
422C22×D3—22no—
423C22×D3—22no—
424C22×D3—24no—
425C22×D3—24no—
426C22×D3—44no—
427C22×D3—44no—
428C22×D3—48no—
429C22×D3—48no—
430C22×D3—48no—
431C22×D3—44no—
432C22×D3—48no—
433C22×D3—44no—
434C22×D3C22⋊Q8116yescomplemented
435C22×D3C22×D414yes—
436C22×D3C22×Q814yes—
437C22×D3C22×Q814yes—
438C22×D3C2×#4114yes—
439C3×Q8—82no—
440C2×C3×C4—28no—
441C2×C3×C4—28no—
442C2×C3×C4—22no—
443C2×C3×C4—22no—
444C2×C3×C4—22no—
445C2×C3×C4—22no—
446C2×C3×C4—22no—
447C2×C3×C4—22no—
448C2×C3×C4—22no—
449C2×C3×C4—22no—
450C2×C3×C4—24no—
451C2×C3×C4—24no—
452C2×C3×C4—24no—
453C2×C3×C4—24no—
454C2×C3×C4—24no—
455C2×C3×C4—44no—
456C2×C3×C4C22×D412yes—
457C2×C3×C4C22×D412yes—
458C2×C3×C4C22×Q814yes—
459C2×C3×C4H(5,𝔽2)14yes—
460C2×Dic3—24no—
461C2×Dic3—22no—
462C2×Dic3—22no—
463C2×Dic3—22no—
464C2×Dic3—24no—
465C2×Dic3—24no—
466C2×Dic3—24no—
467C2×Dic3—24no—
468C2×Dic3—24no—
469C2×Dic3—24no—
470C2×Dic3—44no—
471C2×Dic3—44no—
472C2×Dic3C22×D414yes—
473D12—232no—
474C4×D3—416no—
475C4×D3—416no—
476C4×D3—416no—
477C4×D3—84no—
478C4×D3—84no—
479Dic6—84no—
480Dic6—82no—
481C24—32no—
482C24—34no—
483C24—34no—
484C24—34no—
485C24—32no—
486C24—34no—
487C24—62no—
488C24—62no—
489C24—122no—
490C24—122no—
491C24—122no—
492C24—122no—
493C24C23×D311yescharacteristic
494C2×Q8—22no—
495C2×Q8—42no—
496C2×Q8—64no—
497C2×Q8—62no—
498C2×Q8—124no—
499C2×Q8—122no—
500C2×D4—316no—
501C2×D4—68no—
502C2×D4—68no—
503C2×D4—632no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—24no—
508C22×C4—32no—
509C22×C4—34no—
510C22×C4—34no—
511C22×C4—32no—
512C22×C4—32no—
513C22×C4—32no—
514C22×C4—42no—
515C22×C4—68no—
516C22×C4—68no—
517C22×C4—68no—
518C22×C4—64no—
519C22×C4—64no—
520C22×C4—62no—
521C22×C4—68no—
522C22×C4—68no—
523C22×C4—124no—
524C22×C4—124no—
525C22×C4—124no—
526C22×C4—124no—
527C22×C4—124no—
528C22×C4—124no—
529C22×C4—1216no—
530C22×C4—1216no—
531C22×C4—122no—
532C22×C4—122no—
533C22×C4D3×D414yes—
534C22×C4D3×Q814yes—
535C22×C4C23×D314yes—
536C22×C4C23×D312yes—
537C22×C4C23×D312yes—
538C22×C4C23×D311yescharacteristic
539C22×C4C23×D311yescharacteristic
540C22×C4C23×D312yes—
541C22×C4C23×D312yes—
542C4⋊C4—22no—
543C4⋊C4—24no—
544C4⋊C4—28no—
545C4⋊C4—42no—
546C4⋊C4—68no—
547C4⋊C4—64no—
548C4⋊C4—64no—
549C4⋊C4—64no—
550C4⋊C4—64no—
551C4⋊C4—62no—
552C4⋊C4—68no—
553C4⋊C4—124no—
554C4⋊C4—124no—
555C4⋊C4—124no—
556C4⋊C4—122no—
557C22⋊C4—24no—
558C22⋊C4—24no—
559C22⋊C4—38no—
560C22⋊C4—38no—
561C22⋊C4—64no—
562C22⋊C4—64no—
563C22⋊C4—68no—
564C22⋊C4—64no—
565C22⋊C4—64no—
566C22⋊C4—64no—
567C22⋊C4—64no—
568C22⋊C4—124no—
569C22⋊C4—124no—
570C22⋊C4—124no—
571C22⋊C4—124no—
572C42—24no—
573C42—24no—
574C22×C3—24no—
575C22×C3—22no—
576C22×C3—22no—
577C22×C3—24no—
578C22×C3C2×C22⋊Q814yes—
579C22×C3C23×D411yescharacteristic
580C22×C3C23×Q811yescharacteristic
581C22×C3C22×#4111yescharacteristic
582C22×C3C2×H(5,𝔽2)12yes—
583C22×C3#58512yes—
584C2×D3—28no—
585C2×D3—24no—
586C2×D3—24no—
587C2×D3—28no—
588C2×D3—24no—
589C2×D3—28no—
590C2×D3—416no—
591C2×D3—416no—
592C2×D3—44no—
593C2×D3—42no—
594C2×D3—42no—
595C2×D3C2×C22⋊Q818yes—
596C3×C4—24no—
597C3×C4—24no—
598C3×C4—22no—
599C3×C4—22no—
600C3×C4—44no—
601C3×C4—42no—
602C3×C4—42no—
603Dic3—24no—
604Dic3—44no—
605Dic3—42no—
606Dic3—42no—
607Dic3—42no—
608C23—22no—
609C23—22no—
610C23—34no—
611C23—34no—
612C23—34no—
613C23—316no—
614C23—34no—
615C23—64no—
616C23—64no—
617C23—62no—
618C23—62no—
619C23—64no—
620C23—64no—
621C23—68no—
622C23—124no—
623C23—128no—
624C23—128no—
625C23—128no—
626C23—124no—
627C23—124no—
628C23—128no—
629C23—124no—
630C23C2×D3×D412yes—
631C23C2×D3×Q812yes—
632C23D3×#4112yes—
633C23C24×D311yescharacteristic
634Q8—82no—
635Q8—242no—
636Q8—244no—
637D4—632no—
638C2×C4—28no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—28no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—34no—
654C2×C4—44no—
655C2×C4—64no—
656C2×C4—62no—
657C2×C4—62no—
658C2×C4—62no—
659C2×C4—64no—
660C2×C4—64no—
661C2×C4—64no—
662C2×C4—64no—
663C2×C4—64no—
664C2×C4—64no—
665C2×C4—1216no—
666C2×C4—1216no—
667C2×C4—1216no—
668C2×C4—124no—
669C2×C4—124no—
670C2×C4—244no—
671C2×C4—244no—
672C2×C4C2×D3×D412yes—
673C2×C4C2×D3×D412yes—
674C2×C4C2×D3×Q814yes—
675C2×C4#100914yes—
676C2×C3—24no—
677C2×C3C22×C22⋊Q811yescharacteristic
678C2×C3#345912yes—
679C2×C3#348411yescharacteristic
680C2×C3#348511yescharacteristic
681C2×C3#350112yes—
682D3—28no—
683D3—44no—
684C22—24no—
685C22—22no—
686C22—24no—
687C22—22no—
688C22—38no—
689C22—68no—
690C22—64no—
691C22—68no—
692C22—64no—
693C22—68no—
694C22—64no—
695C22—1216no—
696C22—1216no—
697C22—122no—
698C22—124no—
699C22—122no—
700C22D3×C22⋊Q814yes—
701C22C22×D3×D411yescharacteristic
702C22C22×D3×Q811yescharacteristic
703C22C2×D3×#4111yescharacteristic
704C22C2×#100912yes—
705C22#596412yes—
706C4—24no—
707C4—24no—
708C4—22no—
709C4—22no—
710C4—42no—
711C4—44no—
712C4—42no—
713C4—64no—
714C4—122no—
715C4—122no—
716C4—124no—
717C4—122no—
718C3#3498511yescharacteristic, complemented, Sylow
719C2—24no—
720C2—68no—
721C2—124no—
722C2C2×D3×C22⋊Q811yescharacteristic
723C2#8601211yescharacteristic
724C2#8603911yescharacteristic
725C2#8614712yes—
726C2#8628012yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2855C2
prime radicalC23×D12C22
hypercenter#2855D3
hypocenterC3#34985
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2855

Complements

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

NH ≅ G/Ntype
1. C2×#5634C2semidirect
3. C3×#2855C2semidirect
4. #82822C2semidirect
5. #82075C2semidirect
6. #76628C2semidirect
7. #76225C2semidirect
8. #75322C2semidirect
9. #75321C2semidirect
10. #74655C2semidirect
11. D3×#385C2semidirect
13. #74090C2semidirect
14. #74005C2semidirect
15. #73952C2semidirect
22. C2×#946C22semidirect
28. C2×#897C22semidirect
29. C2×#896C22semidirect
30. C2×#896C22semidirect
31. C2×#896C22semidirect
32. C2×D3×C4⋊C4C22semidirect
39. C3×#391C22semidirect
40. C3×#389C22semidirect
41. C3×#387C22semidirect
45. #5231C22semidirect
49. #4994C22semidirect
50. #4994C22semidirect
51. #4993C22semidirect
52. #4989C22semidirect
53. #4989C22semidirect
54. #4989C22semidirect
60. #4933C22semidirect
61. #4929C22semidirect
62. #4928C22semidirect
63. #4677C22semidirect
64. #4673C22semidirect
65. #4668C22semidirect
66. #4668C22semidirect
67. #4668C22semidirect
68. #4667C22semidirect
73. D3×#95C22semidirect
74. #4661C22semidirect
75. #4660C22semidirect
76. #4657C22semidirect
77. #4656C22semidirect
81. #2855D3semidirect
103. C22×D12Q8semidirect
209. #391C2×D3semidirect
211. #389C2×D3semidirect
213. #387C2×D3semidirect
434. C22×D3C22⋊Q8semidirect
718. C3#34985semidirect

Maximal subgroups

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

subgroupindex
C2×#56342
C22×C4×D122
C3×#28552
#828222
#820752
#766282
#762252
#753222
#753212
#746552
D3×#3852
#741192
#740902
#740052
#739522
#349853