Finite Group Databasebeta

← #10963975

Subgroups — #10963975

Order 768.

2598 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#533C211yesmaximal, characteristic, complemented
2C2×D3×#117C211yesmaximal, characteristic
3#83256C212yesmaximal, complemented
4#83233C212yesmaximal, complemented
5#83058C212yesmaximal, complemented
6#83028C212yesmaximal, complemented
7#82816C214yesmaximal
8#82762C214yesmaximal, complemented
9#82491C214yesmaximal, complemented
10C4×#946C214yesmaximal, complemented
11#82267C211yesmaximal, characteristic
12#82227C211yesmaximal, characteristic, complemented
13#82224C211yesmaximal, characteristic, complemented
14#82069C211yesmaximal, characteristic, complemented
15C2×C4×(C2×D3)⋊C4C211yesmaximal, characteristic
16#34739—31nomaximal, Sylow
17C23×C4×D3C2211yescharacteristic
18C3×#533—28no—
19C2×C3×C4⋊Q8C2212yescomplemented
20C2×C3×#125C2212yescomplemented
21C2×C3×C22⋊Q8C2214yes—
22C2×C3×C4×Q8C2214yescomplemented
23C2×C3×#117C2211yescharacteristic
24C2×C3×#117C2211yescharacteristic
25C22×C3×C42C2211yescharacteristic
26C2×#946C2214yes—
27C22×(C2×D3)⋊C4C2212yes—
28C2×#926C2211yescharacteristic
29C2×#926C2211yescharacteristic
30C22×C4×Dic3C2211yescharacteristic
31D3×#117—28no—
32C2×#892C2212yes—
33C2×D3×C4⋊C4C2212yes—
34C2×D3×C22⋊C4C2212yes—
35C2×#877C2212yes—
36C2×#872C2212yes—
37C2×C42×D3C2212yes—
38#5231C2214yes—
39#5230C2214yescomplemented
40#5229C2214yescomplemented
41#5210C2214yes—
42C2×C3⋊#95C2212yes—
43#4994C2214yes—
44#4994C2214yes—
45#4993C2214yes—
46#4989C2214yes—
47#4989C2214yes—
48#4987C2212yes—
49#4987C2214yes—
50#4987C2212yes—
51#4985C2214yescomplemented
52#4984C2212yescomplemented
53#4984C2212yescomplemented
54#4982C2214yescomplemented
55#4982C2214yescomplemented
56#4978C2214yescomplemented
57#4978C2214yescomplemented
58#4977C2212yescomplemented
59#4975C2212yescomplemented
60#4972C2214yescomplemented
61#4955C2212yes—
62#4950C2214yes—
63#4943C2212yes—
64#4942C2214yes—
65C4×(C2×D3)⋊C4C2211yescharacteristic
66C4×(C2×D3)⋊C4C2212yes—
67C4×(C2×D3)⋊C4C2212yes—
68C4×(C2×D3)⋊C4C2211yescharacteristic
69C4×(C2×D3)⋊C4C2212yes—
70C4×(C2×D3)⋊C4C2212yes—
71C4×(C2×D3)⋊C4C2211yescharacteristic
72C4×(C2×D3)⋊C4C2211yescharacteristic
73C4×C4⋊Dic3C2214yescomplemented
74C4×Dic3⋊C4C2214yescomplemented
75C4×Dic3⋊C4C2214yescomplemented
76#4928C2212yescomplemented
77#4928C2212yescomplemented
78C2×#533D311yescharacteristic, complemented
79C22×#117—31no—
80#2442—32no—
81#2441—32no—
82#2440—32no—
83#2439—32no—
84#2438—34no—
85#2437—34no—
86#2396—34no—
87C4×C22⋊Q8—34no—
88#2296—31no—
89#2296—31no—
90#2285—31no—
91#2280—31no—
92C2×C4×C22⋊C4—31no—
93C24×D3C2311yescharacteristic
94C22×C3×Q8C2314yes—
95C23×C3×C4C2312yes—
96C23×C3×C4C2311yescharacteristic
97C23×Dic3C2312yes—
98C23×Dic3C2311yescharacteristic
99C22×C4×D3—24no—
100C22×C4×D3—24no—
101C22×C4×D3Q818yescomplemented
102C22×C4×D3C2314yes—
103C22×C4×D3C2311yescharacteristic
104C22×C4×D3C2311yescharacteristic
105C22×C4×D3C2311yescharacteristic
106C22×C4×D3C2311yescharacteristic
107C3×C4⋊Q8—28no—
108C3×#125—28no—
109C3×C22⋊Q8—216no—
110C3×C4×Q8—216no—
111C3×#117—24no—
112C3×#117D418yes—
113C2×C3×C4⋊C4C2314yes—
114C2×C3×C4⋊C4C2312yes—
115C2×C3×C4⋊C4C2314yes—
116C2×C3×C4⋊C4C2314yes—
117C2×C3×C4⋊C4C2312yes—
118C2×C3×C22⋊C4C2312yes—
119C2×C3×C22⋊C4C2312yes—
120C2×C3×C42—24no—
121C2×C3×C42C2311yescharacteristic
122C2×C3×C42C2311yescharacteristic
123C2×C3×C42C2312yes—
124C2×C3×C42C2312yes—
125C2×C3×C42C2312yes—
126C2×#217C2312yes—
127C2×#217C2312yes—
128#946—216no—
129C2×(C2×D3)⋊C4—28no—
130C2×(C2×D3)⋊C4C2312yes—
131C2×(C2×D3)⋊C4C2312yes—
132C2×(C2×D3)⋊C4C2312yes—
133C2×(C2×D3)⋊C4C2314yes—
134C2×(C2×D3)⋊C4C2314yes—
135C2×(C2×D3)⋊C4C2314yes—
136C2×(C2×D3)⋊C4C2312yes—
137#926—24no—
138#926—24no—
139C2×C4⋊Dic3C2312yes—
140C2×C4⋊Dic3C2312yes—
141C2×C4⋊Dic3C2314yes—
142C2×C4⋊Dic3C2314yes—
143C2×Dic3⋊C4C2314yes—
144C2×Dic3⋊C4C2314yes—
145C2×Dic3⋊C4C2314yes—
146C2×Dic3⋊C4C2314yes—
147C2×Dic3⋊C4C2314yes—
148C2×C4×Dic3—24no—
149C2×C4×Dic3C2312yes—
150C2×C4×Dic3C2312yes—
151C2×C4×Dic3C2312yes—
152C2×C4×Dic3C2311yescharacteristic
153C2×C4×Dic3C2311yescharacteristic
154C2×C4×Dic3C2314yes—
155#892—28no—
156D3×C4⋊C4—28no—
157D3×C22⋊C4—28no—
158#877—28no—
159#872—28no—
160C42×D3—28no—
161C3⋊#95C2314yes—
162C3⋊#95C2314yes—
163C3⋊#95C2314yes—
164C3⋊#95C2314yes—
165C3⋊#95C2314yes—
166C3⋊#95C2314yes—
167C3⋊#95C2312yes—
168C3⋊#95C2312yes—
169C3⋊#95C2312yes—
170C3⋊#95C2312yes—
171C3⋊#95C2314yes—
172C3⋊#95C2314yes—
173C24×C4—31no—
174#533—28no—
175C2×C4⋊Q8C2×D312yescomplemented
176C2×#125C2×D312yescomplemented
177C2×C22⋊Q8—34no—
178C2×C22⋊Q8C2×D314yes—
179C2×C4×Q8C2×D314yescomplemented
180C2×#117—31no—
181C2×#117—31no—
182C2×#117—32no—
183C2×#117—32no—
184C2×#117—32no—
185C2×#117—68no—
186C2×#117C2×D311yescharacteristic
187C2×#117C2×D311yescharacteristic
188C22×C4⋊C4—32no—
189C22×C22⋊C4—32no—
190C22×C22⋊C4—32no—
191C22×C42—31no—
192C22×C42—32no—
193C22×C42C2×D311yescharacteristic
194#400—34no—
195#399—34no—
196#398—34no—
197#398—34no—
198#396—34no—
199#396—34no—
200#395—34no—
201#393—34no—
202#391—34no—
203#389—34no—
204#389—32no—
205#389—32no—
206#389—32no—
207#389—32no—
208#387—34no—
209#387—34no—
210#385—34no—
211#385—34no—
212#385—34no—
213#385—34no—
214#384—32no—
215#382—32no—
216#381—32no—
217#380—34no—
218#380—32no—
219#380—32no—
220#380—34no—
221#379—32no—
222C4×C4⋊C4—34no—
223C4×C4⋊C4—34no—
224C4×C4⋊C4—34no—
225C4×C22⋊C4—32no—
226C4×C22⋊C4—32no—
227C4×C22⋊C4—31no—
228C4×C22⋊C4—31no—
229C4×C22⋊C4—31no—
230C4×C22⋊C4—31no—
231C4×C22⋊C4—32no—
232C4×C22⋊C4—32no—
233C2×#95—32no—
234C24×C3C2411yescharacteristic
235C23×D3—22no—
236C23×D3—22no—
237C23×D3—24no—
238C23×D3—42no—
239C23×D3C2×Q814yes—
240C23×D3C2411yescharacteristic
241C23×D3C2411yescharacteristic
242C2×C3×Q8—28no—
243C2×C3×Q8—28no—
244C2×C3×Q8—44no—
245C22×C3×C4—24no—
246C22×C3×C4—24no—
247C22×C3×C4—42no—
248C22×C3×C4C2×D414yes—
249C22×C3×C4C2×Q814yes—
250C22×C3×C4#4114yes—
251C22×C3×C4C2412yes—
252C22×C3×C4C2414yes—
253C22×C3×C4C2414yes—
254C22×C3×C4C2412yes—
255C22×C3×C4C2411yescharacteristic
256C22×C3×C4C2411yescharacteristic
257C22×Dic3—22no—
258C22×Dic3—22no—
259C22×Dic3—24no—
260C22×Dic3—24no—
261C22×Dic3—42no—
262C22×Dic3C2×Q814yes—
263C22×Dic3C2412yes—
264C22×Dic3C2414yes—
265C22×Dic3C2414yes—
266C22×Dic3C2411yescharacteristic
267C22×Dic3C2411yescharacteristic
268C22×Dic3C2412yes—
269C2×C4×D3—232no—
270C2×C4×D3—22no—
271C2×C4×D3—22no—
272C2×C4×D3—22no—
273C2×C4×D3—22no—
274C2×C4×D3—22no—
275C2×C4×D3—22no—
276C2×C4×D3—22no—
277C2×C4×D3—22no—
278C2×C4×D3—28no—
279C2×C4×D3—28no—
280C2×C4×D3—44no—
281C2×C4×D3C2×Q814yes—
282C2×C4×D3C2×Q814yes—
283C2×C4×D3C2×Q814yes—
284C2×C4×D3C2×Q814yes—
285C3×C4⋊C4—24no—
286C3×C4⋊C4—28no—
287C3×C4⋊C4—28no—
288C3×C4⋊C4—28no—
289C3×C4⋊C4C2×D418yes—
290C3×C22⋊C4—24no—
291C3×C22⋊C4C2×D418yes—
292C3×C42—24no—
293C3×C42—22no—
294C3×C42—22no—
295C3×C42—24no—
296C3×C42C2×D418yes—
297#217—24no—
298#217—24no—
299(C2×D3)⋊C4—24no—
300(C2×D3)⋊C4—28no—
301(C2×D3)⋊C4—28no—
302(C2×D3)⋊C4—24no—
303(C2×D3)⋊C4—24no—
304(C2×D3)⋊C4—44no—
305(C2×D3)⋊C4#4118yes—
306C4⋊Dic3—24no—
307C4⋊Dic3—24no—
308C4⋊Dic3—28no—
309C4⋊Dic3—44no—
310Dic3⋊C4—28no—
311Dic3⋊C4—28no—
312Dic3⋊C4—28no—
313Dic3⋊C4—44no—
314Dic3⋊C4—44no—
315C4×Dic3—24no—
316C4×Dic3—28no—
317C4×Dic3—22no—
318C4×Dic3—24no—
319C4×Dic3—22no—
320C4×Dic3—24no—
321C25—31no—
322C22×Q8C22×D314yes—
323C23×C4—31no—
324C23×C4—38no—
325C23×C4—31no—
326C23×C4—31no—
327C23×C4—31no—
328C23×C4—31no—
329C23×C4—32no—
330C23×C4—34no—
331C23×C4—64no—
332C23×C4—64no—
333C23×C4C22×D312yes—
334C23×C4C22×D311yescharacteristic
335C4⋊Q8—28no—
336#125—28no—
337C22⋊Q8—216no—
338C22⋊Q8—616no—
339C4×Q8—216no—
340#117—24no—
341#117—64no—
342#117—64no—
343#117—68no—
344#117—68no—
345#117—68no—
346#117#6718yes—
347C2×C4⋊C4—32no—
348C2×C4⋊C4—34no—
349C2×C4⋊C4—32no—
350C2×C4⋊C4—34no—
351C2×C4⋊C4—34no—
352C2×C4⋊C4—34no—
353C2×C4⋊C4—34no—
354C2×C4⋊C4—34no—
355C2×C4⋊C4—34no—
356C2×C4⋊C4—68no—
357C2×C4⋊C4C22×D312yes—
358C2×C4⋊C4C22×D314yes—
359C2×C4⋊C4C22×D314yes—
360C2×C4⋊C4C22×D314yes—
361C2×C4⋊C4C22×D312yes—
362C2×C22⋊C4—32no—
363C2×C22⋊C4—32no—
364C2×C22⋊C4—32no—
365C2×C22⋊C4—34no—
366C2×C22⋊C4—32no—
367C2×C22⋊C4—32no—
368C2×C22⋊C4—32no—
369C2×C22⋊C4—34no—
370C2×C22⋊C4—34no—
371C2×C22⋊C4—68no—
372C2×C22⋊C4—68no—
373C2×C22⋊C4C22×D312yes—
374C2×C22⋊C4C22×D312yes—
375C2×C42—24no—
376C2×C42—34no—
377C2×C42—31no—
378C2×C42—31no—
379C2×C42—32no—
380C2×C42—32no—
381C2×C42—32no—
382C2×C42—64no—
383C2×C42—68no—
384C2×C42C22×D311yescharacteristic
385C2×C42C22×D311yescharacteristic
386C2×C42C22×D312yes—
387C2×C42C22×D312yes—
388C2×C42C22×D312yes—
389#95—32no—
390#95—32no—
391#95—32no—
392#95—32no—
393#95—34no—
394#95—34no—
395#95—34no—
396#95—34no—
397#95—34no—
398#95—34no—
399#95—34no—
400#95—34no—
401C23×C3—22no—
402C23×C3—22no—
403C23×C3C22×D412yes—
404C23×C3C22×Q812yes—
405C23×C3C2×#4112yes—
406C23×C3C2511yescharacteristic
407C22×D3—21no—
408C22×D3—21no—
409C22×D3—22no—
410C22×D3—28no—
411C22×D3—21no—
412C22×D3—22no—
413C22×D3—21no—
414C22×D3—22no—
415C22×D3—28no—
416C22×D3—44no—
417C22×D3—48no—
418C22×D3—48no—
419C22×D3C22×Q812yes—
420C22×D3C22×Q812yes—
421C22×D3C2×#4114yes—
422C3×Q8—416no—
423C2×C3×C4—22no—
424C2×C3×C4—24no—
425C2×C3×C4—24no—
426C2×C3×C4—22no—
427C2×C3×C4—22no—
428C2×C3×C4—24no—
429C2×C3×C4—24no—
430C2×C3×C4—22no—
431C2×C3×C4—22no—
432C2×C3×C4—24no—
433C2×C3×C4—48no—
434C2×C3×C4C22⋊Q8116yescomplemented
435C2×C3×C4C22×D418yes—
436C2×C3×C4C22×D412yes—
437C2×C3×C4C22×D412yes—
438C2×C3×C4C22×Q812yes—
439C2×C3×C4C22×Q812yes—
440C2×C3×C4C2×#4112yes—
441C2×C3×C4C2×#4112yes—
442C2×C3×C4C2×#4114yes—
443C2×Dic3—28no—
444C2×Dic3—21no—
445C2×Dic3—21no—
446C2×Dic3—22no—
447C2×Dic3—21no—
448C2×Dic3—21no—
449C2×Dic3—22no—
450C2×Dic3—24no—
451C2×Dic3—22no—
452C2×Dic3—24no—
453C2×Dic3—24no—
454C2×Dic3—24no—
455C2×Dic3—22no—
456C2×Dic3—24no—
457C2×Dic3—24no—
458C2×Dic3—22no—
459C2×Dic3—48no—
460C2×Dic3C22×Q812yes—
461C2×Dic3C22×Q812yes—
462C2×Dic3C2×#4114yes—
463C4×D3—28no—
464C4×D3—28no—
465C4×D3—28no—
466C4×D3—28no—
467C4×D3—416no—
468C24—31no—
469C24—31no—
470C24—34no—
471C24—64no—
472C24—62no—
473C24—62no—
474C24—122no—
475C24C23×D311yescharacteristic
476C2×Q8—28no—
477C2×Q8—28no—
478C2×Q8—44no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—34no—
482C22×C4—31no—
483C22×C4—31no—
484C22×C4—32no—
485C22×C4—34no—
486C22×C4—34no—
487C22×C4—34no—
488C22×C4—34no—
489C22×C4—32no—
490C22×C4—34no—
491C22×C4—34no—
492C22×C4—42no—
493C22×C4—68no—
494C22×C4—64no—
495C22×C4—62no—
496C22×C4—62no—
497C22×C4—632no—
498C22×C4—62no—
499C22×C4—62no—
500C22×C4—62no—
501C22×C4—62no—
502C22×C4—62no—
503C22×C4—62no—
504C22×C4—62no—
505C22×C4—62no—
506C22×C4—64no—
507C22×C4—68no—
508C22×C4—124no—
509C22×C4—122no—
510C22×C4D3×Q814yes—
511C22×C4#23914yes—
512C22×C4C2×#6714yes—
513C22×C4C23×D312yes—
514C22×C4C23×D314yes—
515C22×C4C23×D312yes—
516C22×C4C23×D314yes—
517C22×C4C23×D311yescharacteristic
518C22×C4C23×D311yescharacteristic
519C4⋊C4—24no—
520C4⋊C4—28no—
521C4⋊C4—28no—
522C4⋊C4—28no—
523C4⋊C4—68no—
524C4⋊C4—68no—
525C4⋊C4—64no—
526C4⋊C4—68no—
527C4⋊C4—68no—
528C4⋊C4—64no—
529C4⋊C4—124no—
530C4⋊C4—124no—
531C4⋊C4—124no—
532C4⋊C4C2×#6718yes—
533C22⋊C4—24no—
534C22⋊C4—38no—
535C22⋊C4—64no—
536C22⋊C4—64no—
537C22⋊C4—68no—
538C22⋊C4—64no—
539C22⋊C4—64no—
540C22⋊C4—64no—
541C22⋊C4—68no—
542C22⋊C4—124no—
543C22⋊C4C2×#6718yes—
544C42—24no—
545C42—22no—
546C42—22no—
547C42—24no—
548C42—62no—
549C42—64no—
550C42—62no—
551C42—64no—
552C42—68no—
553C42—64no—
554C42C2×#6718yes—
555C22×C3—22no—
556C22×C3—22no—
557C22×C3—24no—
558C22×C3—24no—
559C22×C3C2×C22⋊Q814yes—
560C22×C3C23×D411yescharacteristic
561C22×C3C23×Q811yescharacteristic
562C22×C3C22×#4111yescharacteristic
563C22×C3C22×#4112yes—
564C22×C3#58512yes—
565C2×D3—22no—
566C2×D3—22no—
567C2×D3—24no—
568C2×D3—24no—
569C2×D3—22no—
570C2×D3—22no—
571C2×D3—22no—
572C2×D3—416no—
573C2×D3—42no—
574C2×D3—42no—
575C2×D3#53314yescomplemented
576C3×C4—28no—
577C3×C4—24no—
578C3×C4—42no—
579C3×C4—44no—
580C3×C4C2×C22⋊Q814yes—
581C3×C4C2×C22⋊Q814yes—
582Dic3—22no—
583Dic3—22no—
584Dic3—24no—
585Dic3—44no—
586Dic3—44no—
587Dic3—42no—
588C23—22no—
589C23—22no—
590C23—32no—
591C23—34no—
592C23—32no—
593C23—68no—
594C23—61no—
595C23—62no—
596C23—61no—
597C23—61no—
598C23—62no—
599C23—62no—
600C23—61no—
601C23—68no—
602C23—124no—
603C23—128no—
604C23—128no—
605C23C2×D3×Q812yes—
606C23C2×#23912yes—
607C23C22×#6712yes—
608C23C24×D311yescharacteristic
609Q8—416no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—24no—
620C2×C4—32no—
621C2×C4—32no—
622C2×C4—34no—
623C2×C4—48no—
624C2×C4—62no—
625C2×C4—61no—
626C2×C4—61no—
627C2×C4—62no—
628C2×C4—61no—
629C2×C4—61no—
630C2×C4—68no—
631C2×C4—68no—
632C2×C4—68no—
633C2×C4—68no—
634C2×C4—68no—
635C2×C4—62no—
636C2×C4—64no—
637C2×C4—62no—
638C2×C4—64no—
639C2×C4—64no—
640C2×C4—64no—
641C2×C4—62no—
642C2×C4—64no—
643C2×C4—64no—
644C2×C4—1216no—
645C2×C4—128no—
646C2×C4#946116yescomplemented
647C2×C4C2×D3×Q812yes—
648C2×C4C2×D3×Q812yes—
649C2×C4C2×#23912yes—
650C2×C4C2×#23912yes—
651C2×C4D3×#4114yes—
652C2×C4C22×#6718yes—
653C2×C4C22×#6712yes—
654C2×C4C22×#6712yes—
655C2×C3—24no—
656C2×C3C22×C22⋊Q811yescharacteristic
657C2×C3C2×#53311yescharacteristic
658C2×C3#345811yescharacteristic
659C2×C3D4×#4112yes—
660C2×C3#347512yes—
661D3—24no—
662D3—42no—
663C22—22no—
664C22—22no—
665C22—24no—
666C22—24no—
667C22—34no—
668C22—62no—
669C22—64no—
670C22—62no—
671C22—64no—
672C22—62no—
673C22—62no—
674C22—62no—
675C22—1216no—
676C22—122no—
677C22—122no—
678C22C2×#94614yes—
679C22C22×D3×Q811yescharacteristic
680C22C22×#23911yescharacteristic
681C22C2×D3×#4112yes—
682C22#596412yes—
683C22C23×#6711yescharacteristic
684C4—24no—
685C4—28no—
686C4—42no—
687C4—44no—
688C4—64no—
689C4—62no—
690C4—62no—
691C4—122no—
692C4—124no—
693C4—124no—
694C4C2×#94614yes—
695C4C2×#94614yes—
696C3#3473911yescharacteristic, complemented, Sylow
697C2—24no—
698C2—64no—
699C2—122no—
700C2D3×#53311yescharacteristic
701C2#8627411yescharacteristic
702C2#8627612yes—
703C2C22×#94611yescharacteristic
704C2#41×#6712yes—
subgroupG/H
centerC22×C4C23×D3
commutator, socle, cosocleC23×C3C25
FrattiniC23C24×D3
FittingC2×C3×#533C2
prime radicalC24×D3C23
hypercenterC2×#533D3
hypocenterC3#34739
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C22×C4 ◁ C2×#533

Complements

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

NH ≅ G/Ntype
1. C2×C3×#533C2semidirect
3. #83256C2semidirect
4. #83233C2semidirect
5. #83058C2semidirect
6. #83028C2semidirect
8. #82762C2semidirect
9. #82491C2semidirect
10. C4×#946C2semidirect
12. #82227C2semidirect
13. #82224C2semidirect
14. #82069C2semidirect
19. C2×C3×C4⋊Q8C22semidirect
20. C2×C3×#125C22semidirect
22. C2×C3×C4×Q8C22semidirect
39. #5230C22semidirect
40. #5229C22semidirect
51. #4985C22semidirect
52. #4984C22semidirect
53. #4984C22semidirect
54. #4982C22semidirect
55. #4982C22semidirect
56. #4978C22semidirect
57. #4978C22semidirect
58. #4977C22semidirect
59. #4975C22semidirect
60. #4972C22semidirect
73. C4×C4⋊Dic3C22semidirect
74. C4×Dic3⋊C4C22semidirect
75. C4×Dic3⋊C4C22semidirect
76. #4928C22semidirect
77. #4928C22semidirect
78. C2×#533D3semidirect
101. C22×C4×D3Q8semidirect
175. C2×C4⋊Q8C2×D3semidirect
176. C2×#125C2×D3semidirect
179. C2×C4×Q8C2×D3semidirect
434. C2×C3×C4C22⋊Q8semidirect
575. C2×D3#533semidirect
646. C2×C4#946semidirect
696. C3#34739semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5332
C2×D3×#1172
#832562
#832332
#830582
#830282
#828162
#827622
#824912
C4×#9462
#822672
#822272
#822242
#820692
C2×C4×(C2×D3)⋊C42
#347393