Finite Group Databasebeta

← #10993940

Subgroups — #10993940

Order 768.

2350 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5730C212yesmaximal
2C3×#2551C211yesmaximal, characteristic, complemented
3#83269C212yesmaximal, complemented
4#83241C212yesmaximal, complemented
5#83233C212yesmaximal, complemented
6#77255C214yesmaximal, complemented
7#77253C214yesmaximal, complemented
8#76203C212yesmaximal
9D3×#389C212yesmaximal, complemented
10#76079C212yesmaximal, complemented
11#75999C212yesmaximal, complemented
12#74360C211yesmaximal, characteristic
13#74355C211yesmaximal, characteristic, complemented
14C4⋊C4×D12C211yesmaximal, characteristic
15#73717C211yesmaximal, characteristic, complemented
16C4×#888C211yesmaximal, characteristic, complemented
17C4×#893C211yesmaximal, characteristic
18#36261—31nomaximal, Sylow
19C2×C3×C4⋊Q8C2212yes—
20C2×C3×C4⋊Q8C2212yes—
21C2×#946C2214yes—
22C2×#946C2214yes—
23#5730—216no—
24C2×#897C2214yes—
25C2×#893C2212yes—
26C2×#893C2211yescharacteristic
27C2×#893C2211yescharacteristic
28C2×D3×C4⋊C4C2212yes—
29C2×D3×C4⋊C4C2214yes—
30C2×D3×C4⋊C4C2212yes—
31C2×#890C2212yes—
32C2×#890C2212yes—
33C2×#888C2211yescharacteristic
34C2×C4×D12C2212yes—
35C2×C4×D12C2211yescharacteristic
36C2×C42×D3C2212yes—
37C2×C4×Dic6C2212yes—
38C3×#395C2214yes—
39C3×#389C2212yes—
40C3×#389C2212yes—
41C3×#384C2211yescharacteristic
42C3×C4×C4⋊C4C2211yescharacteristic
43C3×C4×C4⋊C4C2211yescharacteristic
44#5230C2214yes—
45#5229C2214yes—
46#4989C2214yes—
47#4989C2214yes—
48#4987C2212yes—
49#4987C2212yes—
50#4987C2214yes—
51#4984C2212yes—
52#4984C2212yes—
53#4984C2212yes—
54#4984C2211yescharacteristic
55#4982C2214yes—
56#4981C2214yes—
57#4977C2212yes—
58#4976C2214yes—
59#4975C2211yescharacteristic
60Dic3×C4⋊C4C2211yescharacteristic
61Dic3×C4⋊C4C2211yescharacteristic
62#4972C2212yes—
63#4972C2214yes—
64#4972C2211yescharacteristic
65#4972C2212yes—
66#4972C2212yes—
67C4×(C2×D3)⋊C4C2212yes—
68#4935C2211yescharacteristic
69#4935C2212yes—
70C4×C4⋊Dic3C2211yescharacteristic
71C4×Dic3⋊C4C2212yes—
72C42×Dic3C2211yescharacteristic
73#4928C2212yes—
74#4928C2212yes—
75#4668C2214yes—
76#4668C2214yes—
77#4666C2212yes—
78#4666C2212yes—
79D3×#95C2214yes—
80#4661C2214yes—
81#4656C2214yes—
82#4647C2214yes—
83#4647C2212yes—
84#4646C2212yes—
85C2×#554—32no—
86#2859—31no—
87#2857—32no—
88#2584—32no—
89#2583—34no—
90#2552—31no—
91#2551D311yescharacteristic, complemented
92#2550—32no—
93#2549—34no—
94#2440—32no—
95#2440—32no—
96#2349—32no—
97D4×C4⋊C4—31no—
98D4×C4⋊C4—31no—
99C4×C4⋊Q8—31no—
100C2×#389—32no—
101C42×D4—31no—
102C22×C3×Q8C2314yes—
103C22×D12C2311yescharacteristic
104C22×C4×D3C2314yes—
105C22×C4×D3C2312yes—
106C22×C4×D3C2314yes—
107C22×C4×D3C2312yes—
108C22×C4×D3C2312yes—
109C22×Dic6C2312yes—
110C3×C4⋊Q8—28no—
111C3×C4⋊Q8—44no—
112C2×C3×C4⋊C4C2311yescharacteristic
113C2×C3×C4⋊C4C2312yes—
114C2×C3×C4⋊C4C2312yes—
115C2×C3×C4⋊C4C2314yes—
116C2×C3×C4⋊C4C2314yes—
117C2×C3×C4⋊C4C2312yes—
118C2×C3×C4⋊C4C2311yescharacteristic
119C2×C3×C4⋊C4C2311yescharacteristic
120C2×C3×C4⋊C4C2311yescharacteristic
121C2×C3×C42C2312yes—
122C2×C3×C42C2312yes—
123C2×C3×C42C2311yescharacteristic
124#946—216no—
125#946—216no—
126C2×(C2×D3)⋊C4C2314yes—
127C2×(C2×D3)⋊C4C2314yes—
128C2×(C2×D3)⋊C4C2312yes—
129C2×(C2×D3)⋊C4C2312yes—
130C2×(C2×D3)⋊C4C2312yes—
131C2×C4⋊Dic3C2312yes—
132C2×C4⋊Dic3C2314yes—
133C2×C4⋊Dic3C2314yes—
134C2×C4⋊Dic3C2311yescharacteristic
135C2×C4⋊Dic3C2312yes—
136C2×C4⋊Dic3C2312yes—
137C2×C4⋊Dic3C2311yescharacteristic
138C2×C4⋊Dic3C2314yes—
139C2×C4⋊Dic3C2312yes—
140C2×C4⋊Dic3C2311yescharacteristic
141C2×Dic3⋊C4C2312yes—
142C2×Dic3⋊C4C2314yes—
143C2×Dic3⋊C4C2312yes—
144C2×Dic3⋊C4C2312yes—
145C2×Dic3⋊C4C2314yes—
146C2×Dic3⋊C4C2314yes—
147C2×Dic3⋊C4C2312yes—
148C2×Dic3⋊C4C2314yes—
149C2×C4×Dic3C2311yescharacteristic
150C2×C4×Dic3C2311yescharacteristic
151C2×C4×Dic3C2312yes—
152C2×C4×Dic3C2311yescharacteristic
153C2×C4×Dic3C2311yescharacteristic
154C2×C4×Dic3C2312yes—
155C2×C4×Dic3C2312yes—
156C2×C4×Dic3C2311yescharacteristic
157C2×C4×Dic3C2311yescharacteristic
158#897—216no—
159#893—28no—
160#893D418yes—
161#893Q818yescomplemented
162D3×C4⋊C4—216no—
163D3×C4⋊C4—28no—
164D3×C4⋊C4—44no—
165#890—28no—
166#890—28no—
167#888—24no—
168C4×D12—28no—
169C4×D12Q818yescomplemented
170C42×D3—44no—
171C4×Dic6—28no—
172C3×#95C2312yes—
173C3×#95C2314yes—
174C3×#95C2312yes—
175C3⋊#95C2312yes—
176C3⋊#95C2312yes—
177C3⋊#95C2312yes—
178C3⋊#95C2314yes—
179C3⋊#95C2312yes—
180C3⋊#95C2314yes—
181C3⋊#95C2314yes—
182C3⋊#95C2312yes—
183C3⋊#95C2314yes—
184C3⋊#95C2314yes—
185#554—616no—
186C2×C4⋊Q8—31no—
187C2×C4⋊Q8C2×D312yes—
188C2×C4⋊Q8C2×D312yes—
189C2×#125—32no—
190C2×#125—32no—
191C2×C22⋊Q8—34no—
192C2×C22⋊Q8—34no—
193C2×C22⋊Q8—34no—
194C2×C4×Q8—32no—
195C2×C4×D4—31no—
196C2×C4×D4—31no—
197C2×C4×D4—32no—
198C2×C4×D4—31no—
199C2×C4×D4—32no—
200C22×C4⋊C4—34no—
201C22×C4⋊C4—32no—
202C22×C4⋊C4—32no—
203C22×C42—32no—
204#398—34no—
205#398—34no—
206#398—34no—
207#395—34no—
208#395—34no—
209#395C2×D314yes—
210#391—34no—
211#391—32no—
212#389—31no—
213#389—31no—
214#389—32no—
215#389—34no—
216#389—32no—
217#389—32no—
218#389—32no—
219#389—32no—
220#389—32no—
221#389—34no—
222#389—32no—
223#389—32no—
224#389—32no—
225#389—34no—
226#389C2×D312yes—
227#389C2×D312yes—
228#385—34no—
229#385—34no—
230#385—34no—
231#385—34no—
232#384—31no—
233#384—32no—
234#384—31no—
235#384C2×D311yescharacteristic
236#382—32no—
237#380—32no—
238#380—32no—
239#380—34no—
240C4×C4⋊C4—31no—
241C4×C4⋊C4—31no—
242C4×C4⋊C4—31no—
243C4×C4⋊C4—32no—
244C4×C4⋊C4C2×D311yescharacteristic
245C4×C4⋊C4C2×D311yescharacteristic
246C4×C22⋊C4—32no—
247C4×C22⋊C4—32no—
248C4×C22⋊C4—32no—
249C2×#95—34no—
250C43—31no—
251C23×D3C2412yes—
252C2×C3×Q8—28no—
253C2×C3×Q8—44no—
254C2×C3×Q8—44no—
255C22×C3×C4C2412yes—
256C22×C3×C4C2414yes—
257C22×C3×C4C2412yes—
258C22×C3×C4C2412yes—
259C22×C3×C4C2411yescharacteristic
260C22×C3×C4C2412yes—
261C22×C3×C4C2411yescharacteristic
262C22×C3×C4C2411yescharacteristic
263C22×Dic3C2412yes—
264C22×Dic3C2412yes—
265C22×Dic3C2414yes—
266C22×Dic3C2411yescharacteristic
267C22×Dic3C2411yescharacteristic
268C22×Dic3C2411yescharacteristic
269C22×Dic3C2411yescharacteristic
270C22×Dic3C2412yes—
271C2×D12C2×D414yes—
272C2×D12C2×Q814yes—
273C2×D12C2×Q814yes—
274C2×C4×D3—24no—
275C2×C4×D3—24no—
276C2×C4×D3—28no—
277C2×C4×D3—28no—
278C2×C4×D3—28no—
279C2×C4×D3—42no—
280C2×C4×D3—42no—
281C2×C4×D3—42no—
282C2×C4×D3—42no—
283C2×C4×D3—44no—
284C2×C4×D3—44no—
285C2×C4×D3—44no—
286C2×C4×D3C2×D418yes—
287C2×C4×D3C2×Q818yes—
288C2×C4×D3C2×Q818yes—
289C2×Dic6—24no—
290C2×Dic6—24no—
291C2×Dic6—42no—
292C3×C4⋊C4—24no—
293C3×C4⋊C4—28no—
294C3×C4⋊C4—24no—
295C3×C4⋊C4—22no—
296C3×C4⋊C4—42no—
297C3×C4⋊C4—44no—
298C3×C4⋊C4C2×D414yes—
299C3×C4⋊C4C2×Q814yes—
300C3×C4⋊C4#4114yes—
301C3×C42—24no—
302C3×C42—24no—
303C3×C42C2×Q814yes—
304(C2×D3)⋊C4—28no—
305(C2×D3)⋊C4—28no—
306(C2×D3)⋊C4C2×D418yes—
307(C2×D3)⋊C4C2×Q818yes—
308(C2×D3)⋊C4C2×Q818yes—
309C4⋊Dic3—24no—
310C4⋊Dic3—28no—
311C4⋊Dic3—22no—
312C4⋊Dic3—24no—
313C4⋊Dic3—22no—
314C4⋊Dic3—24no—
315C4⋊Dic3—28no—
316C4⋊Dic3—44no—
317C4⋊Dic3—42no—
318C4⋊Dic3C2×Q814yes—
319Dic3⋊C4—28no—
320Dic3⋊C4—24no—
321Dic3⋊C4—28no—
322Dic3⋊C4—24no—
323Dic3⋊C4—24no—
324Dic3⋊C4—28no—
325Dic3⋊C4—44no—
326Dic3⋊C4—42no—
327C4×Dic3—24no—
328C4×Dic3—22no—
329C4×Dic3—22no—
330C4×Dic3—42no—
331C4×Dic3—42no—
332C4×Dic3—41no—
333C4×Dic3—41no—
334C4×Dic3C2×D414yes—
335C4×Dic3C2×Q814yes—
336C22×Q8—32no—
337C22×Q8C22×D314yes—
338C22×D4—31no—
339C23×C4—32no—
340C23×C4—32no—
341C23×C4—32no—
342C23×C4—34no—
343C23×C4—34no—
344C4⋊Q8—28no—
345C4⋊Q8—44no—
346C4⋊Q8—64no—
347#125—68no—
348#125—68no—
349C22⋊Q8—616no—
350C22⋊Q8—616no—
351C22⋊Q8—616no—
352C4×Q8—68no—
353C4×D4—38no—
354C4×D4—38no—
355C4×D4—38no—
356C4×D4—68no—
357C4×D4—68no—
358C2×C4⋊C4—31no—
359C2×C4⋊C4—32no—
360C2×C4⋊C4—31no—
361C2×C4⋊C4—34no—
362C2×C4⋊C4—34no—
363C2×C4⋊C4—32no—
364C2×C4⋊C4—34no—
365C2×C4⋊C4—32no—
366C2×C4⋊C4—32no—
367C2×C4⋊C4—32no—
368C2×C4⋊C4—34no—
369C2×C4⋊C4—34no—
370C2×C4⋊C4—31no—
371C2×C4⋊C4—32no—
372C2×C4⋊C4—34no—
373C2×C4⋊C4—32no—
374C2×C4⋊C4—34no—
375C2×C4⋊C4—32no—
376C2×C4⋊C4—616no—
377C2×C4⋊C4—68no—
378C2×C4⋊C4—124no—
379C2×C4⋊C4C22×D314yes—
380C2×C4⋊C4C22×D312yes—
381C2×C4⋊C4C22×D312yes—
382C2×C4⋊C4C22×D311yescharacteristic
383C2×C4⋊C4C22×D314yes—
384C2×C4⋊C4C22×D312yes—
385C2×C4⋊C4C22×D311yescharacteristic
386C2×C4⋊C4C22×D311yescharacteristic
387C2×C4⋊C4C22×D311yescharacteristic
388C2×C22⋊C4—32no—
389C2×C22⋊C4—32no—
390C2×C22⋊C4—32no—
391C2×C22⋊C4—34no—
392C2×C22⋊C4—34no—
393C2×C42—31no—
394C2×C42—31no—
395C2×C42—32no—
396C2×C42—31no—
397C2×C42—31no—
398C2×C42—31no—
399C2×C42—31no—
400C2×C42—32no—
401C2×C42—32no—
402C2×C42—124no—
403C2×C42C22×D312yes—
404C2×C42C22×D312yes—
405C2×C42C22×D311yescharacteristic
406#95—32no—
407#95—34no—
408#95—34no—
409#95—32no—
410#95—32no—
411#95—32no—
412#95—32no—
413#95—34no—
414#95—34no—
415#95—34no—
416#95C22×D314yes—
417#95C22×D312yes—
418#95C22×D312yes—
419C23×C3C2511yescharacteristic
420C22×D3—22no—
421C22×D3—22no—
422C22×D3—22no—
423C22×D3—22no—
424C22×D3C22×D414yes—
425C22×D3C22×Q814yes—
426C22×D3C22×Q814yes—
427C3×Q8—88no—
428C2×C3×C4—22no—
429C2×C3×C4—22no—
430C2×C3×C4—22no—
431C2×C3×C4—21no—
432C2×C3×C4—21no—
433C2×C3×C4—22no—
434C2×C3×C4—22no—
435C2×C3×C4—22no—
436C2×C3×C4—22no—
437C2×C3×C4—24no—
438C2×C3×C4—24no—
439C2×C3×C4—22no—
440C2×C3×C4—22no—
441C2×C3×C4—24no—
442C2×C3×C4C22×D414yes—
443C2×C3×C4C22×D412yes—
444C2×C3×C4C22×Q812yes—
445C2×C3×C4C22×Q814yes—
446C2×C3×C4C22×Q812yes—
447C2×C3×C4C22×Q812yes—
448C2×C3×C4C22×Q812yes—
449C2×C3×C4C2×#4114yes—
450C2×C3×C4C2×#4112yes—
451C2×C3×C4H(5,𝔽2)12yes—
452C2×Dic3—21no—
453C2×Dic3—21no—
454C2×Dic3—22no—
455C2×Dic3—21no—
456C2×Dic3—21no—
457C2×Dic3—22no—
458C2×Dic3—21no—
459C2×Dic3—21no—
460C2×Dic3—21no—
461C2×Dic3—21no—
462C2×Dic3—22no—
463C2×Dic3—22no—
464C2×Dic3—24no—
465C2×Dic3—22no—
466C2×Dic3—24no—
467C2×Dic3—22no—
468C2×Dic3—22no—
469C2×Dic3—22no—
470C2×Dic3—24no—
471C2×Dic3C22×D412yes—
472C2×Dic3C22×D412yes—
473C2×Dic3C22×Q812yes—
474C2×Dic3C22×Q812yes—
475C2×Dic3C22×Q814yes—
476D12C4⋊Q8116yescomplemented
477C4×D3—216no—
478C4×D3—48no—
479C4×D3—48no—
480C4×D3—416no—
481C4×D3—88no—
482Dic6—48no—
483C24—32no—
484C2×Q8—28no—
485C2×Q8—44no—
486C2×Q8—44no—
487C2×Q8—64no—
488C2×Q8—64no—
489C2×Q8—122no—
490C2×D4—34no—
491C2×D4—34no—
492C2×D4—34no—
493C22×C4—31no—
494C22×C4—31no—
495C22×C4—32no—
496C22×C4—31no—
497C22×C4—31no—
498C22×C4—38no—
499C22×C4—38no—
500C22×C4—38no—
501C22×C4—32no—
502C22×C4—32no—
503C22×C4—34no—
504C22×C4—68no—
505C22×C4—68no—
506C22×C4—64no—
507C22×C4—64no—
508C22×C4—68no—
509C22×C4—122no—
510C22×C4—122no—
511C22×C4—122no—
512C22×C4—122no—
513C22×C4—124no—
514C22×C4—124no—
515C22×C4—124no—
516C22×C4C23×D312yes—
517C22×C4C23×D314yes—
518C22×C4C23×D312yes—
519C22×C4C23×D312yes—
520C22×C4C23×D311yescharacteristic
521C22×C4C23×D312yes—
522C22×C4C23×D311yescharacteristic
523C22×C4C23×D311yescharacteristic
524C4⋊C4—28no—
525C4⋊C4—24no—
526C4⋊C4—24no—
527C4⋊C4—22no—
528C4⋊C4—34no—
529C4⋊C4—44no—
530C4⋊C4—42no—
531C4⋊C4—64no—
532C4⋊C4—68no—
533C4⋊C4—64no—
534C4⋊C4—64no—
535C4⋊C4—68no—
536C4⋊C4—68no—
537C4⋊C4—64no—
538C4⋊C4—68no—
539C4⋊C4—62no—
540C4⋊C4—68no—
541C4⋊C4—64no—
542C4⋊C4—64no—
543C4⋊C4—62no—
544C4⋊C4—124no—
545C4⋊C4—122no—
546C4⋊C4—122no—
547C4⋊C4—124no—
548C4⋊C4D3×D414yes—
549C4⋊C4D3×Q814yes—
550C4⋊C4#23914yes—
551C22⋊C4—38no—
552C22⋊C4—38no—
553C22⋊C4—38no—
554C22⋊C4—68no—
555C22⋊C4—68no—
556C42—24no—
557C42—24no—
558C42—34no—
559C42—34no—
560C42—64no—
561C42—62no—
562C42—62no—
563C42—122no—
564C42—122no—
565C42—121no—
566C42—121no—
567C42D3×Q814yes—
568C22×C3C23×D411yescharacteristic
569C22×C3C23×Q811yescharacteristic
570C22×C3C23×Q811yescharacteristic
571C22×C3C22×#4111yescharacteristic
572C22×C3C2×H(5,𝔽2)11yescharacteristic
573C22×C3#58511yescharacteristic
574C22×C3#58511yescharacteristic
575C2×D3—24no—
576C2×D3—24no—
577C2×D3—24no—
578C2×D3—24no—
579C2×D3—24no—
580C2×D3—24no—
581C2×D3C2×C4⋊Q818yes—
582C3×C4—24no—
583C3×C4—24no—
584C3×C4—24no—
585C3×C4—22no—
586C3×C4—44no—
587C3×C4—42no—
588C3×C4C2×C4⋊Q814yes—
589C3×C4#55414yescomplemented
590Dic3—22no—
591Dic3—24no—
592Dic3—22no—
593Dic3—22no—
594Dic3—22no—
595Dic3—42no—
596Dic3—44no—
597Dic3—42no—
598C23—34no—
599C23—34no—
600C23—34no—
601C23—62no—
602C23—62no—
603C23—62no—
604C23—62no—
605C23C24×D311yescharacteristic
606Q8—88no—
607Q8—128no—
608D4—316no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—22no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—22no—
623C2×C4—32no—
624C2×C4—32no—
625C2×C4—32no—
626C2×C4—32no—
627C2×C4—34no—
628C2×C4—61no—
629C2×C4—61no—
630C2×C4—62no—
631C2×C4—61no—
632C2×C4—61no—
633C2×C4—62no—
634C2×C4—61no—
635C2×C4—61no—
636C2×C4—61no—
637C2×C4—61no—
638C2×C4—616no—
639C2×C4—62no—
640C2×C4—62no—
641C2×C4—64no—
642C2×C4—62no—
643C2×C4—64no—
644C2×C4—62no—
645C2×C4—62no—
646C2×C4—64no—
647C2×C4—62no—
648C2×C4—128no—
649C2×C4—128no—
650C2×C4—1216no—
651C2×C4—248no—
652C2×C4C2×D3×D414yes—
653C2×C4C2×D3×D412yes—
654C2×C4#100412yes—
655C2×C4C2×D3×Q812yes—
656C2×C4C2×D3×Q814yes—
657C2×C4C2×D3×Q812yes—
658C2×C4C2×D3×Q812yes—
659C2×C4C2×D3×Q812yes—
660C2×C4C2×#23914yes—
661C2×C4C2×#23912yes—
662C2×C3C22×C4⋊Q811yescharacteristic
663C2×C3D4×#4111yescharacteristic
664C2×C3C2×#55411yescharacteristic
665C2×C3Q8×#4111yescharacteristic
666C2×C3#349611yescharacteristic
667C2×C3#350111yescharacteristic
668C2×C3#350411yescharacteristic
669D3—28no—
670C22—38no—
671C22—64no—
672C22—64no—
673C22—64no—
674C22—64no—
675C22—64no—
676C22—64no—
677C22C22×D3×D411yescharacteristic
678C22C2×#100411yescharacteristic
679C22C22×D3×Q811yescharacteristic
680C22C22×D3×Q811yescharacteristic
681C22C22×#23911yescharacteristic
682C22#596611yescharacteristic
683C22#596811yescharacteristic
684C4—22no—
685C4—24no—
686C4—24no—
687C4—24no—
688C4—44no—
689C4—42no—
690C4—62no—
691C4—64no—
692C4—62no—
693C4—62no—
694C4—62no—
695C4—122no—
696C4—124no—
697C4—122no—
698C4D3×C4⋊Q814yes—
699C4#573014yescomplemented
700C3#3626111yescharacteristic, complemented, Sylow
701C2—68no—
702C2C2×D3×C4⋊Q811yescharacteristic
703C2C2×#573011yescharacteristic
704C2#8658711yescharacteristic
705C2#8662111yescharacteristic
706C2D4×#23911yescharacteristic
707C2#8676111yescharacteristic
708C2Q8×#23911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2551C2
prime radicalC22×D12C23
hypercenter#2551D3
hypocenterC3#36261
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2551

Complements

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

NH ≅ G/Ntype
2. C3×#2551C2semidirect
3. #83269C2semidirect
4. #83241C2semidirect
5. #83233C2semidirect
6. #77255C2semidirect
7. #77253C2semidirect
9. D3×#389C2semidirect
10. #76079C2semidirect
11. #75999C2semidirect
13. #74355C2semidirect
15. #73717C2semidirect
16. C4×#888C2semidirect
91. #2551D3semidirect
161. #893Q8semidirect
169. C4×D12Q8semidirect
476. D12C4⋊Q8semidirect
589. C3×C4#554semidirect
699. C4#5730semidirect
700. C3#36261semidirect

Maximal subgroups

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

subgroupindex
C2×#57302
C3×#25512
#832692
#832412
#832332
#772552
#772532
#762032
D3×#3892
#760792
#759992
#743602
#743552
C4⋊C4×D122
#737172
C4×#8882
C4×#8932
#362613