Finite Group Databasebeta

← #10955950

Subgroups — #10955950

Order 768.

2750 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5548C211yesmaximal, characteristic
2C3×#2349C211yesmaximal, characteristic, complemented
3C4×#938C212yesmaximal, complemented
4#82343C212yesmaximal, complemented
5#82338C211yesmaximal, characteristic, complemented
6#75987C212yesmaximal, complemented
7#75964C212yesmaximal, complemented
8#74397C214yesmaximal, complemented
9#74391C214yesmaximal, complemented
10#74228C211yesmaximal, characteristic, complemented
11#74147C211yesmaximal, characteristic, complemented
12#74008C212yesmaximal, complemented
13#73870C212yesmaximal, complemented
14C4×D3×C4⋊C4C211yesmaximal, characteristic, complemented
15#73645C211yesmaximal, characteristic, complemented
16#73368C212yesmaximal, complemented
17#73322C212yesmaximal, complemented
18#34236—31nomaximal, Sylow
19C22×#235C2212yes—
20C2×C3×C4×D4C2212yes—
21C2×C3×C4×D4C2211yescharacteristic
22C2×#940C2211yescharacteristic
23C2×#938C2211yescharacteristic
24C2×C4×#67C2214yes—
25C2×C4×#67C2214yes—
26C2×C4×#67C2212yes—
27#5548C4116yescomplemented
28C2×#895C2211yescharacteristic
29C2×#893C2214yes—
30C2×#893C2212yes—
31C2×D3×C4⋊C4C2212yes—
32C2×#888C2211yescharacteristic
33C2×#885C2212yes—
34C2×#884C2212yes—
35C2×C4×D12C2211yescharacteristic
36C2×C42×D3C2212yes—
37C2×C42×D3C2211yescharacteristic
38C3×#389C2212yes—
39C3×#385C2214yes—
40C3×#382C2211yescharacteristic
41C3×#380C2212yes—
42C3×C4×C4⋊C4C2211yescharacteristic
43C2×C3×#95C2212yes—
44#5221C2212yes—
45#5213C2214yes—
46#5211C2212yes—
47C4×#217C2212yes—
48C4×#217C2214yes—
49#4990C2214yes—
50#4990C2214yes—
51#4987C2212yes—
52#4976C2214yes—
53Dic3×C4⋊C4C2212yes—
54Dic3×C4⋊C4C2212yes—
55Dic3×C4⋊C4C2212yes—
56#4973C2214yes—
57#4972C2212yes—
58#4957C2214yes—
59#4956C2214yes—
60#4956C2214yes—
61#4951C2214yes—
62#4944C2214yes—
63#4939C2212yes—
64#4936C2211yescharacteristic
65C4×C4⋊Dic3C2211yescharacteristic
66C4×C4⋊Dic3C2212yes—
67C4×Dic3⋊C4C2212yes—
68#4668C2214yes—
69#4667C2212yes—
70#4666C2214yes—
71#4666C2212yes—
72#4666C2212yes—
73#4665C2214yes—
74#4664C2212yes—
75#4664C2212yes—
76D3×#95C2211yescharacteristic
77D3×#95C2211yescharacteristic
78D3×#95C2212yes—
79#4651C2212yes—
80#4649C2211yescharacteristic
81#4649C2211yescharacteristic
82#4649C2214yes—
83#4648C2212yes—
84#4646C2214yes—
85C2×#532—31no—
86#2369—32no—
87#2366—32no—
88#2361—34no—
89#2357—31no—
90#2357—31no—
91#2349—31no—
92#2349D311yescharacteristic, complemented
93#2339—32no—
94#2339—32no—
95#2337—34no—
96#2319—32no—
97C4×#121—32no—
98C4×#121—32no—
99#2283—31no—
100#2275—32no—
101C2×C4×C4⋊C4—31no—
102C22×C3×D4C2311yescharacteristic
103C23×C3×C4C2314yes—
104C23×C3×C4C2312yes—
105C22×#67C2312yes—
106C22×#67C2312yes—
107C22×#67C2312yes—
108C2×#235—48no—
109C2×#235C2×C4116yescomplemented
110C22×D12C2312yes—
111C22×D12C2311yescharacteristic
112C22×C4×D3C2312yes—
113C22×C4×D3C2312yes—
114C22×C4×D3C2311yescharacteristic
115C22×C4×D3C2311yescharacteristic
116C22×C4×D3C2311yescharacteristic
117C22×C4×D3C2314yes—
118C22×C4×D3C2312yes—
119C22×Dic6C2312yes—
120C3×C4×D4—44no—
121C3×C4×D4C2×C418yescomplemented
122C2×C3×C4⋊C4C2312yes—
123C2×C3×C4⋊C4C2312yes—
124C2×C3×C4⋊C4C2314yes—
125C2×C3×C4⋊C4C2311yescharacteristic
126C2×C3×C22⋊C4C2314yes—
127C2×C3×C22⋊C4C2312yes—
128C2×C3×C42C2312yes—
129C2×C3×C42C2311yescharacteristic
130C2×#217C2314yes—
131C2×#217C2314yes—
132C2×#217C2312yes—
133#940C2×C418yescomplemented
134#938C2×C418yescomplemented
135C4×#67—216no—
136C4×#67—48no—
137C4×#67C2×C4116yescomplemented
138C2×(C2×D3)⋊C4C2314yes—
139C2×(C2×D3)⋊C4C2314yes—
140C2×(C2×D3)⋊C4C2314yes—
141C2×(C2×D3)⋊C4C2314yes—
142C2×(C2×D3)⋊C4C2312yes—
143C2×(C2×D3)⋊C4C2312yes—
144C2×C4⋊Dic3C2312yes—
145C2×C4⋊Dic3C2312yes—
146C2×C4⋊Dic3C2311yescharacteristic
147C2×Dic3⋊C4C2312yes—
148C2×Dic3⋊C4C2314yes—
149C2×Dic3⋊C4C2312yes—
150C2×Dic3⋊C4C2312yes—
151C2×C4×Dic3C2314yes—
152C2×C4×Dic3C2312yes—
153C2×C4×Dic3C2314yes—
154C2×C4×Dic3C2312yes—
155C2×C4×Dic3C2314yes—
156C2×C4×Dic3C2312yes—
157C2×C4×Dic3C2311yescharacteristic
158C2×C4×Dic3C2311yescharacteristic
159C2×C4×Dic3C2311yescharacteristic
160#895C2×C418yescomplemented
161#893—44no—
162#893—48no—
163D3×C4⋊C4—28no—
164#888C2×C418yescomplemented
165#885C2×C4116yescomplemented
166#884C2×C4116yescomplemented
167C4×D12C2×C418yescomplemented
168C42×D3—44no—
169C42×D3C2×C418yescomplemented
170C3×#95C2314yes—
171C3×#95C2312yes—
172C3×#95C2311yescharacteristic
173C3×#95C2311yescharacteristic
174C3×#95C2312yes—
175C3⋊#95C2312yes—
176C3⋊#95C2314yes—
177C3⋊#95C2314yes—
178C3⋊#95C2314yes—
179C3⋊#95C2312yes—
180C3⋊#95C2311yescharacteristic
181C3⋊#95C2311yescharacteristic
182C3⋊#95C2314yes—
183C3⋊#95C2312yes—
184C3⋊#95C2312yes—
185C3⋊#95C2314yes—
186C22×#41—32no—
187#532—316no—
188C2×C4⋊Q8—31no—
189C2×#127—31no—
190C2×#124—32no—
191C2×#121—31no—
192C2×#121—31no—
193C2×#121—32no—
194C2×C4×D4—32no—
195C2×C4×D4—34no—
196C2×C4×D4—34no—
197C2×C4×D4—34no—
198C2×C4×D4—32no—
199C2×C4×D4—31no—
200C2×C4×D4C2×D312yes—
201C2×C4×D4C2×D311yescharacteristic
202C22×C4⋊C4—32no—
203C22×C42—31no—
204C22×C42—32no—
205#391—34no—
206#391—34no—
207#390—32no—
208#390—34no—
209#390—32no—
210#389—34no—
211#389—32no—
212#389C2×D312yes—
213#388—34no—
214#388—34no—
215#388—34no—
216#388—34no—
217#386—34no—
218#386—34no—
219#386—34no—
220#386—34no—
221#385—34no—
222#385C2×D314yes—
223#383—32no—
224#382—31no—
225#382C2×D311yescharacteristic
226#381—32no—
227#381—32no—
228#381—32no—
229#380—32no—
230#380—32no—
231#380C2×D312yes—
232C4×C4⋊C4—32no—
233C4×C4⋊C4—32no—
234C4×C4⋊C4—32no—
235C4×C4⋊C4—31no—
236C4×C4⋊C4—32no—
237C4×C4⋊C4—32no—
238C4×C4⋊C4—31no—
239C4×C4⋊C4—34no—
240C4×C4⋊C4—31no—
241C4×C4⋊C4C2×D311yescharacteristic
242C4×C22⋊C4—34no—
243C4×C22⋊C4—32no—
244C4×C22⋊C4—34no—
245C4×C22⋊C4—32no—
246C4×C22⋊C4—32no—
247#376—32no—
248C2×#95—31no—
249C2×#95—31no—
250C2×#95—32no—
251C2×#95C2×D312yes—
252C24×C3C2412yes—
253C23×D3C2412yes—
254C23×D3C2411yescharacteristic
255C2×C3×D4—22no—
256C2×C3×D4—22no—
257C2×C3×D4C22×C414yes—
258C22×C3×C4—28no—
259C22×C3×C4—44no—
260C22×C3×C4—44no—
261C22×C3×C4—44no—
262C22×C3×C4C22×C418yes—
263C22×C3×C4C2414yes—
264C22×C3×C4C2412yes—
265C22×C3×C4C2411yescharacteristic
266C22×C3×C4C2412yes—
267C22×C3×C4C2411yescharacteristic
268C22×C3×C4C2412yes—
269C22×C3×C4C2411yescharacteristic
270C2×#67—28no—
271C2×#67—28no—
272C2×#67—44no—
273C2×#67C22×C418yes—
274C2×#67C22×C418yes—
275C2×#67C22×C418yes—
276C22×Dic3C2414yes—
277C22×Dic3C2412yes—
278C22×Dic3C2411yescharacteristic
279C22×Dic3C2411yescharacteristic
280C22×Dic3C2412yes—
281C22×Dic3C2412yes—
282C22×Dic3C2411yescharacteristic
283#235—432no—
284C2×D12—28no—
285C2×D12—22no—
286C2×D12—22no—
287C2×D12C22×C414yes—
288C2×D12C22×C418yes—
289C2×C4×D3—24no—
290C2×C4×D3—22no—
291C2×C4×D3—22no—
292C2×C4×D3—24no—
293C2×C4×D3—24no—
294C2×C4×D3—24no—
295C2×C4×D3—24no—
296C2×C4×D3—24no—
297C2×C4×D3—28no—
298C2×C4×D3—42no—
299C2×C4×D3—42no—
300C2×C4×D3—44no—
301C2×C4×D3—44no—
302C2×C4×D3—44no—
303C2×C4×D3C22×C414yes—
304C2×C4×D3C22×C414yes—
305C2×C4×D3C22×C414yes—
306C2×C4×D3C22×C418yes—
307C2×Dic6—44no—
308C2×Dic6C22×C418yes—
309C3×C4⋊C4—24no—
310C3×C4⋊C4—24no—
311C3×C4⋊C4—44no—
312C3×C4⋊C4C22×C414yes—
313C3×C22⋊C4—44no—
314C3×C22⋊C4C22×C418yes—
315C3×C42—24no—
316C3×C42C22×C414yes—
317#217—28no—
318#217—44no—
319#217C22×C418yes—
320(C2×D3)⋊C4—28no—
321(C2×D3)⋊C4—28no—
322(C2×D3)⋊C4—44no—
323(C2×D3)⋊C4—44no—
324(C2×D3)⋊C4C22×C418yes—
325(C2×D3)⋊C4C22×C418yes—
326C4⋊Dic3—24no—
327C4⋊Dic3—24no—
328C4⋊Dic3C22×C414yes—
329Dic3⋊C4—24no—
330Dic3⋊C4—44no—
331Dic3⋊C4C22×C418yes—
332Dic3⋊C4#4118yescomplemented
333C4×Dic3—24no—
334C4×Dic3—28no—
335C4×Dic3—42no—
336C4×Dic3—42no—
337C4×Dic3—44no—
338C4×Dic3—44no—
339C4×Dic3C22×C414yes—
340C4×Dic3C22×C414yes—
341C4×Dic3C22×C414yes—
342C2×#41—316no—
343C2×#41—128no—
344C22×Q8—32no—
345C22×D4—32no—
346C22×D4—32no—
347C22×D4—32no—
348C22×D4—31no—
349C22×D4—32no—
350C22×D4C22×D311yescharacteristic
351C23×C4—31no—
352C23×C4—31no—
353C23×C4—31no—
354C23×C4—32no—
355C23×C4—32no—
356C23×C4—32no—
357C23×C4—34no—
358C23×C4C22×D314yes—
359C23×C4C22×D312yes—
360C4⋊Q8—38no—
361#127—38no—
362#124—316no—
363#121—38no—
364#121—38no—
365#121—316no—
366C4×D4—316no—
367C4×D4—38no—
368C4×D4—44no—
369C4×D4—616no—
370C4×D4—124no—
371C4×D4—128no—
372C4×D4—128no—
373C4×D4C4×D318yescomplemented
374C2×C4⋊C4—32no—
375C2×C4⋊C4—32no—
376C2×C4⋊C4—31no—
377C2×C4⋊C4—32no—
378C2×C4⋊C4—32no—
379C2×C4⋊C4—32no—
380C2×C4⋊C4—34no—
381C2×C4⋊C4—68no—
382C2×C4⋊C4C22×D312yes—
383C2×C4⋊C4C22×D312yes—
384C2×C4⋊C4C22×D314yes—
385C2×C4⋊C4C22×D311yescharacteristic
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—34no—
395C2×C22⋊C4C22×D314yes—
396C2×C22⋊C4C22×D312yes—
397C2×C42—31no—
398C2×C42—31no—
399C2×C42—31no—
400C2×C42—38no—
401C2×C42—34no—
402C2×C42—32no—
403C2×C42—34no—
404C2×C42—34no—
405C2×C42—32no—
406C2×C42—32no—
407C2×C42—124no—
408C2×C42C22×D312yes—
409C2×C42C22×D311yescharacteristic
410#95—31no—
411#95—34no—
412#95—31no—
413#95—32no—
414#95—32no—
415#95—34no—
416#95—32no—
417#95—32no—
418#95—34no—
419#95—34no—
420#95—34no—
421#95C22×D311yescharacteristic
422#95C22×D312yes—
423#95C22×D311yescharacteristic
424#95C22×D314yes—
425#95C22×D312yes—
426C23×C3—24no—
427C23×C3—24no—
428C23×C3—22no—
429C23×C3—22no—
430C23×C3C23×C414yes—
431C23×C3C2511yescharacteristic
432C22×D3—22no—
433C22×D3—21no—
434C22×D3—21no—
435C22×D3—24no—
436C22×D3—22no—
437C22×D3—24no—
438C22×D3—22no—
439C22×D3C23×C414yes—
440C22×D3C23×C412yes—
441C22×D3H(5,𝔽2)14yes—
442C3×D4—28no—
443C2×C3×C4—22no—
444C2×C3×C4—22no—
445C2×C3×C4—22no—
446C2×C3×C4—24no—
447C2×C3×C4—22no—
448C2×C3×C4—24no—
449C2×C3×C4—22no—
450C2×C3×C4—22no—
451C2×C3×C4—24no—
452C2×C3×C4—22no—
453C2×C3×C4—24no—
454C2×C3×C4—48no—
455C2×C3×C4—88no—
456C2×C3×C4C23×C412yes—
457C2×C3×C4C23×C412yes—
458C2×C3×C4C23×C414yes—
459C2×C3×C4C23×C412yes—
460C2×C3×C4C2×#4114yes—
461C2×C3×C4H(5,𝔽2)12yes—
462C2×C3×C42−1+412yes—
463#67—216no—
464#67—216no—
465#67—48no—
466C2×Dic3—22no—
467C2×Dic3—21no—
468C2×Dic3—22no—
469C2×Dic3—24no—
470C2×Dic3—22no—
471C2×Dic3—21no—
472C2×Dic3—24no—
473C2×Dic3—22no—
474C2×Dic3—22no—
475C2×Dic3—24no—
476C2×Dic3—22no—
477C2×Dic3—24no—
478C2×Dic3C23×C412yes—
479C2×Dic3C23×C412yes—
480C2×Dic3C23×C414yes—
481C2×Dic3C23×C412yes—
482C2×Dic3C2×#4114yes—
483C2×Dic3C2×#4114yes—
484D12—216no—
485D12—28no—
486C4×D3—28no—
487C4×D3—28no—
488C4×D3—28no—
489C4×D3—48no—
490C4×D3—48no—
491C4×D3—48no—
492C4×D3—88no—
493Dic6—48no—
494C24—31no—
495C24—32no—
496C24C23×D312yes—
497#41—1232no—
498C2×Q8—38no—
499C2×Q8—124no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—38no—
503C2×D4—38no—
504C2×D4—38no—
505C2×D4—34no—
506C2×D4—38no—
507C2×D4—68no—
508C2×D4—68no—
509C2×D4—68no—
510C2×D4—62no—
511C2×D4—62no—
512C2×D4—124no—
513C2×D4C2×C4×D314yes—
514C22×C4—28no—
515C22×C4—31no—
516C22×C4—31no—
517C22×C4—31no—
518C22×C4—32no—
519C22×C4—32no—
520C22×C4—34no—
521C22×C4—34no—
522C22×C4—34no—
523C22×C4—38no—
524C22×C4—34no—
525C22×C4—32no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—64no—
530C22×C4—64no—
531C22×C4—68no—
532C22×C4—64no—
533C22×C4—64no—
534C22×C4—64no—
535C22×C4—62no—
536C22×C4—62no—
537C22×C4—64no—
538C22×C4—122no—
539C22×C4—122no—
540C22×C4—124no—
541C22×C4—124no—
542C22×C4—124no—
543C22×C4C2×C4×D318yes—
544C22×C4C23×D314yes—
545C22×C4C23×D312yes—
546C22×C4C23×D311yescharacteristic
547C22×C4C23×D312yes—
548C22×C4C23×D311yescharacteristic
549C22×C4C23×D312yes—
550C22×C4C23×D311yescharacteristic
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—38no—
554C4⋊C4—34no—
555C4⋊C4—38no—
556C4⋊C4—44no—
557C4⋊C4—64no—
558C4⋊C4—64no—
559C4⋊C4—64no—
560C4⋊C4—124no—
561C4⋊C4C2×C4×D314yes—
562C22⋊C4—38no—
563C22⋊C4—38no—
564C22⋊C4—38no—
565C22⋊C4—44no—
566C22⋊C4—68no—
567C22⋊C4—68no—
568C22⋊C4—68no—
569C22⋊C4—124no—
570C22⋊C4—124no—
571C22⋊C4—124no—
572C22⋊C4C2×C4×D318yes—
573C42—24no—
574C42—34no—
575C42—34no—
576C42—34no—
577C42—68no—
578C42—64no—
579C42—122no—
580C42—122no—
581C42—124no—
582C42—124no—
583C42C2×C4×D314yes—
584C22×C3—24no—
585C22×C3—24no—
586C22×C3—24no—
587C22×C3—44no—
588C22×C3—44no—
589C22×C3C24×C411yescharacteristic
590C22×C3C22×#4112yes—
591C22×C3C2×H(5,𝔽2)11yescharacteristic
592C22×C3C2×H(5,𝔽2)12yes—
593C22×C3C2×2−1+411yescharacteristic
594C2×D3—22no—
595C2×D3—22no—
596C2×D3—24no—
597C2×D3—24no—
598C2×D3—24no—
599C2×D3—24no—
600C2×D3—24no—
601C2×D3—44no—
602C2×D3—44no—
603C2×D3#51814yes—
604C3×C4—22no—
605C3×C4—24no—
606C3×C4—22no—
607C3×C4—24no—
608C3×C4—42no—
609C3×C4—44no—
610C3×C4#52014yes—
611Dic3—22no—
612Dic3—24no—
613Dic3—22no—
614Dic3—24no—
615Dic3—42no—
616Dic3—44no—
617Dic3C4×#4114yes—
618C23—22no—
619C23—22no—
620C23—24no—
621C23—24no—
622C23—32no—
623C23—34no—
624C23—34no—
625C23—61no—
626C23—61no—
627C23—62no—
628C23—62no—
629C23—62no—
630C23—64no—
631C23—64no—
632C23C22×C4×D314yes—
633C23C24×D311yescharacteristic
634Q8—128no—
635D4—28no—
636D4—616no—
637D4—616no—
638D4—616no—
639D4—68no—
640D4—128no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—32no—
653C2×C4—34no—
654C2×C4—32no—
655C2×C4—32no—
656C2×C4—34no—
657C2×C4—34no—
658C2×C4—48no—
659C2×C4—68no—
660C2×C4—68no—
661C2×C4—62no—
662C2×C4—61no—
663C2×C4—61no—
664C2×C4—62no—
665C2×C4—64no—
666C2×C4—62no—
667C2×C4—68no—
668C2×C4—62no—
669C2×C4—64no—
670C2×C4—64no—
671C2×C4—62no—
672C2×C4—64no—
673C2×C4—62no—
674C2×C4—88no—
675C2×C4—128no—
676C2×C4—128no—
677C2×C4—128no—
678C2×C4—248no—
679C2×C4C22×C4×D312yes—
680C2×C4C22×C4×D312yes—
681C2×C4C22×C4×D314yes—
682C2×C4C22×C4×D312yes—
683C2×C4#100412yes—
684C2×C4#100712yes—
685C2×C4D3×#4114yes—
686C2×C3—44no—
687C2×C3C2×C4×#4111yescharacteristic
688C2×C3C2×#51811yescharacteristic
689C2×C3C2×#52011yescharacteristic
690C2×C3#351912yes—
691C2×C3#352212yes—
692D3—24no—
693D3—44no—
694C22—24no—
695C22—24no—
696C22—24no—
697C22—34no—
698C22—44no—
699C22—44no—
700C22—62no—
701C22—64no—
702C22—64no—
703C22—62no—
704C22—64no—
705C22—64no—
706C22—64no—
707C22—124no—
708C22—124no—
709C22C23×C4×D311yescharacteristic
710C22C2×#100411yescharacteristic
711C22C2×#100711yescharacteristic
712C22C2×D3×#4112yes—
713C22D3×H(5,𝔽2)12yes—
714C4—22no—
715C4—22no—
716C4—24no—
717C4—24no—
718C4—34no—
719C4—44no—
720C4—42no—
721C4—62no—
722C4—64no—
723C4—64no—
724C4—62no—
725C4—122no—
726C4—124no—
727C4#550414yes—
728C3#3423611yescharacteristic, complemented, Sylow
729C2—44no—
730C2—64no—
731C2—124no—
732C2C2×#550411yescharacteristic
733C2C4×D3×#4111yescharacteristic
734C2D3×#51811yescharacteristic
735C2#8664012yes—
736C2#8693612yes—
subgroupG/H
center, FrattiniC23C24×D3
commutatorC22×C3C24×C4
FittingC3×#2349C2
socle, cosocleC23×C3C25
prime radicalC2×#5548C2
hypercenter#2349D3
hypocenterC3#34236
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2349

Complements

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

NH ≅ G/Ntype
2. C3×#2349C2semidirect
3. C4×#938C2semidirect
4. #82343C2semidirect
5. #82338C2semidirect
6. #75987C2semidirect
7. #75964C2semidirect
8. #74397C2semidirect
9. #74391C2semidirect
10. #74228C2semidirect
11. #74147C2semidirect
12. #74008C2semidirect
13. #73870C2semidirect
14. C4×D3×C4⋊C4C2semidirect
15. #73645C2semidirect
16. #73368C2semidirect
17. #73322C2semidirect
27. #5548C4semidirect
92. #2349D3semidirect
109. C2×#235C2×C4semidirect
121. C3×C4×D4C2×C4semidirect
133. #940C2×C4semidirect
134. #938C2×C4semidirect
137. C4×#67C2×C4semidirect
160. #895C2×C4semidirect
164. #888C2×C4semidirect
165. #885C2×C4semidirect
166. #884C2×C4semidirect
167. C4×D12C2×C4semidirect
169. C42×D3C2×C4semidirect
332. Dic3⋊C4#41semidirect
373. C4×D4C4×D3semidirect
728. C3#34236semidirect

Maximal subgroups

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

subgroupindex
C2×#55482
C3×#23492
C4×#9382
#823432
#823382
#759872
#759642
#743972
#743912
#742282
#741472
#740082
#738702
C4×D3×C4⋊C42
#736452
#733682
#733222
#342363