Finite Group Databasebeta

← #11903453

Subgroups — #11903453

Order 1152.

3396 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×C4×D4C211yesmaximal, characteristic, complemented
2#10596277C212yesmaximal, complemented
3#10596262C212yesmaximal, complemented
4C2×#64135C212yesmaximal, complemented
5#10596036C212yesmaximal, complemented
6#10596034C211yesmaximal, characteristic, complemented
7#10596028C212yesmaximal, complemented
8#10596026C211yesmaximal, characteristic, complemented
9#10596014C211yesmaximal, characteristic, complemented
10#10596013C211yesmaximal, characteristic, complemented
11#10596012C212yesmaximal, complemented
12#10596009C214yesmaximal, complemented
13C4×#3830C212yesmaximal, complemented
14#10595984C212yesmaximal, complemented
15#10595966C214yesmaximal, complemented
16C4×#3828C211yesmaximal, characteristic, complemented
17#10595941C211yesmaximal, characteristic, complemented
18#85764—34nomaximal
19C22×C32×D4C2211yescharacteristic
20C23×C32×C4C2212yes—
21C2×#3830C2212yes—
22C2×#3828C2211yescharacteristic
23C32×C4×D4C2211yescharacteristic
24C32×C4×D4C2212yes—
25C32×C4×D4C2212yes—
26C32×C4×D4C2211yescharacteristic
27C32×C4×D4C2211yescharacteristic
28C32×C4×D4C2211yescharacteristic
29C2×C32×C4⋊C4C2211yescharacteristic
30C2×C32×C22⋊C4C2212yes—
31C2×C32×C42C2211yescharacteristic
32#64162C2214yes—
33C2×#3757C2214yes—
34#64148C2214yes—
35#64147C2212yes—
36#64145C2212yes—
37#64144C2214yes—
38D4×C3⋊Dic3C2212yes—
39#64139C2212yescomplemented
40#64139C2212yescomplemented
41#64138C2214yes—
42C4×#638C2212yes—
43C4×#638C2212yes—
44C4×#638C2214yescomplemented
45C4×#638C2214yescomplemented
46#64135C2212yes—
47#64135C2211yescharacteristic
48#64135C2214yes—
49#64135C2214yescomplemented
50#64135C2212yescomplemented
51#64135C2212yescomplemented
52C2×C4⋊(C3⋊Dic3)C2212yescomplemented
53C2×C4⋊(C3⋊Dic3)C2212yescomplemented
54#64133C2212yes—
55#64133C2212yes—
56#64133C2212yescomplemented
57#64133C2212yescomplemented
58C2×C4×C3⋊Dic3C2214yescomplemented
59#64107C2214yescomplemented
60#64106C2212yescomplemented
61#64101C2212yescomplemented
62#64099C2212yescomplemented
63#64098C2214yescomplemented
64#64096C2212yescomplemented
65#64095C2214yescomplemented
66#64094C2214yescomplemented
67#64092C2214yescomplemented
68#64090C2214yescomplemented
69#64088C2214yescomplemented
70#64088C2214yescomplemented
71#64087C2214yescomplemented
72#64086C2214yescomplemented
73C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
74C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
75#64081C2212yescomplemented
76C42×C3⋊D3C2212yescomplemented
77#64079C2212yescomplemented
78#64078C2211yescharacteristic, complemented
79#64078C2211yescharacteristic, complemented
80C4×#634C2212yescomplemented
81C4×#634C2212yescomplemented
82C4×#634C2211yescharacteristic, complemented
83C4×#634C2211yescharacteristic, complemented
84C2×C3×C4×D4D314yescomplemented
85#5806—38no—
86#5791—38no—
87C2×#926—38no—
88#5565—38no—
89#5563—34no—
90#5557—38no—
91#5555—34no—
92#5543—34no—
93#5542—34no—
94#5541—38no—
95#5538—316no—
96C4×#237—38no—
97#5513—38no—
98#5495—316no—
99C4×#235—34no—
100#5470—34no—
101C24×C32C2312yes—
102C2×C32×D4—24no—
103C2×C32×D4C2312yes—
104C2×C32×D4C2311yescharacteristic
105C2×C32×D4C2311yescharacteristic
106C22×C32×C4—28no—
107C22×C32×C4C2312yes—
108C22×C32×C4C2312yes—
109C22×C32×C4C2312yes—
110C22×C32×C4C2312yes—
111C22×C32×C4C2312yes—
112C22×C32×C4C2311yescharacteristic
113C22×C32×C4C2311yescharacteristic
114C22×C32×C4C2311yescharacteristic
115C2×#638C2314yes—
116C2×#638C2312yes—
117C2×#638C2314yes—
118C22×C3⋊Dic3C2314yes—
119C22×C3⋊Dic3C2314yes—
120#3830—28no—
121#3828—24no—
122C2×C4⋊(C3⋊D3)C2311yescharacteristic
123C2×C4×C3⋊D3C2312yes—
124C2×C4×C3⋊D3C2312yes—
125C2×C4×C3⋊D3C2312yes—
126C2×#634C2311yescharacteristic
127C2×#634C2312yes—
128C2×#634C2312yes—
129C32×C4⋊C4C2311yescharacteristic
130C32×C4⋊C4C2312yes—
131C32×C4⋊C4C2311yescharacteristic
132C32×C22⋊C4C2312yes—
133C32×C22⋊C4C2312yes—
134C32×C22⋊C4C2312yes—
135C32×C22⋊C4C2312yes—
136C32×C42C2311yescharacteristic
137C32×C42C2311yescharacteristic
138C32×C42C2311yescharacteristic
139C32×C42C2311yescharacteristic
140#3757C2314yes—
141#3757C2314yes—
142#3757C2314yes—
143#3757C2314yes—
144#3757C2314yes—
145#3757C2312yes—
146#3752C2312yes—
147#3752C2312yes—
148#3752C2314yes—
149#3752C2314yes—
150C4⋊(C3⋊Dic3)C2312yes—
151C4⋊(C3⋊Dic3)C2312yes—
152C4⋊(C3⋊Dic3)C2311yescharacteristic
153C4⋊(C3⋊Dic3)C2311yescharacteristic
154C4⋊(C3⋊Dic3)C2312yes—
155C4⋊(C3⋊Dic3)C2312yes—
156C4⋊(C3⋊Dic3)C2314yes—
157C4⋊(C3⋊Dic3)C2314yes—
158#3750C2314yes—
159#3750C2314yes—
160#3750C2312yes—
161#3750C2312yes—
162#3750C2314yes—
163#3750C2314yes—
164C4×C3⋊Dic3C2314yes—
165C4×C3⋊Dic3C2312yes—
166C4×C3⋊Dic3C2312yes—
167C4×C3⋊Dic3C2312yes—
168C4×C3⋊Dic3C2314yes—
169C4×C3⋊Dic3C2314yes—
170#3475—91noSylow
171C22×C3×D4C2×D314yes—
172C23×C3×C4C2×D318yes—
173C2×#237—38no—
174C2×#235—34no—
175C3×C4×D4C2×D314yes—
176C3×C4×D4C2×D318yes—
177C3×C4×D4C2×D318yes—
178C3×C4×D4C2×D314yes—
179C3×C4×D4C2×D314yes—
180C3×C4×D4C2×D314yes—
181C2×C3×C4⋊C4C2×D314yes—
182C2×C3×C22⋊C4C2×D318yes—
183C2×C3×C42C2×D314yes—
184#953—316no—
185C2×#217—316no—
186#939—316no—
187#938—38no—
188#936—38no—
189#935—316no—
190D4×Dic3—38no—
191#930—38no—
192#930—38no—
193#929—316no—
194C4×#67—38no—
195C4×#67—38no—
196C4×#67—316no—
197C4×#67—316no—
198#926—38no—
199#926—34no—
200#926—316no—
201#926—316no—
202#926—38no—
203#926—38no—
204C2×C4⋊Dic3—38no—
205C2×C4⋊Dic3—38no—
206#924—38no—
207#924—38no—
208#924—38no—
209#924—38no—
210C2×C4×Dic3—316no—
211#898—316no—
212#897—38no—
213#892—38no—
214#890—38no—
215#889—316no—
216#887—38no—
217#886—316no—
218#885—316no—
219#883—316no—
220#67⋊C4—316no—
221#879—316no—
222#879—316no—
223#878—316no—
224#877—316no—
225C4×D12—34no—
226C4×D12—34no—
227#872—38no—
228C42×D3—38no—
229#870—38no—
230#869—34no—
231#869—34no—
232C4×Dic6—38no—
233C4×Dic6—38no—
234C4×Dic6—34no—
235C4×Dic6—34no—
236C23×C32—24no—
237C23×C32—24no—
238C23×C32—42no—
239C23×C32C2412yes—
240C23×C32C2411yescharacteristic
241C23×C32C2412yes—
242C22×C3⋊D3C2412yes—
243C32×D4—24no—
244C32×D4—22no—
245C32×D4#4114yescomplemented
246C2×C32×C4—24no—
247C2×C32×C4—24no—
248C2×C32×C4—24no—
249C2×C32×C4—24no—
250C2×C32×C4—24no—
251C2×C32×C4—22no—
252C2×C32×C4—41no—
253C2×C32×C4#4114yescomplemented
254C2×C32×C4C2412yes—
255C2×C32×C4C2411yescharacteristic
256C2×C32×C4C2411yescharacteristic
257C2×C32×C4C2412yes—
258C2×C32×C4C2411yescharacteristic
259C2×C32×C4C2411yescharacteristic
260C2×C32×C4C2411yescharacteristic
261C2×C32×C4C2411yescharacteristic
262#638—24no—
263#638—28no—
264#638—44no—
265C2×C3⋊Dic3—28no—
266C2×C3⋊Dic3—44no—
267C2×C3⋊Dic3C2412yes—
268C2×C3⋊Dic3C2412yes—
269C2×C3⋊Dic3C2412yes—
270C2×C3⋊Dic3C2414yes—
271C2×C3⋊Dic3C2414yes—
272C4⋊(C3⋊D3)—22no—
273C4×C3⋊D3—24no—
274C4×C3⋊D3—24no—
275C4×C3⋊D3—42no—
276#634—22no—
277#634—24no—
278#634—42no—
279#556—91no—
280#555—91no—
281#554—91no—
282#553—92no—
283#552—92no—
284#552—92no—
285#551—94no—
286#547—91no—
287#546—92no—
288#533—91no—
289#529—94no—
290#529—92no—
291#525—92no—
292C4×#41—92no—
293C4×#41—91no—
294C2×C4×D4C3⋊D311yescharacteristic, complemented
295C2×#117—92no—
296C24×C3C22×D318yes—
297C2×C3×D4—216no—
298C2×C3×D4C22×D318yes—
299C2×C3×D4C22×D314yes—
300C2×C3×D4C22×D314yes—
301C22×C3×C4—232no—
302C22×C3×C4C22×D318yes—
303C22×C3×C4C22×D314yes—
304C22×C3×C4C22×D318yes—
305C22×C3×C4C22×D318yes—
306C22×C3×C4C22×D318yes—
307C22×C3×C4C22×D318yes—
308C22×C3×C4C22×D314yes—
309C22×C3×C4C22×D314yes—
310C2×#67—316no—
311C2×#67—38no—
312C2×#67—316no—
313C22×Dic3—316no—
314C22×Dic3—316no—
315#237—632no—
316#235—616no—
317C2×D12—34no—
318C2×C4×D3—38no—
319C2×C4×D3—38no—
320C2×C4×D3—38no—
321C2×Dic6—34no—
322C2×Dic6—38no—
323C2×Dic6—38no—
324C3×C4⋊C4C22×D314yes—
325C3×C4⋊C4C22×D318yes—
326C3×C4⋊C4C22×D314yes—
327C3×C22⋊C4C22×D318yes—
328C3×C22⋊C4C22×D318yes—
329C3×C22⋊C4C22×D318yes—
330C3×C22⋊C4C22×D318yes—
331C3×C42C22×D314yes—
332C3×C42C22×D314yes—
333C3×C42C22×D314yes—
334C3×C42C22×D314yes—
335#217—316no—
336#217—316no—
337#217—316no—
338#217—316no—
339#217—316no—
340#217—38no—
341(C2×D3)⋊C4—38no—
342(C2×D3)⋊C4—38no—
343(C2×D3)⋊C4—316no—
344(C2×D3)⋊C4—316no—
345C4⋊Dic3—38no—
346C4⋊Dic3—38no—
347C4⋊Dic3—34no—
348C4⋊Dic3—34no—
349C4⋊Dic3—38no—
350C4⋊Dic3—38no—
351C4⋊Dic3—316no—
352C4⋊Dic3—316no—
353Dic3⋊C4—316no—
354Dic3⋊C4—316no—
355Dic3⋊C4—38no—
356Dic3⋊C4—38no—
357Dic3⋊C4—316no—
358Dic3⋊C4—316no—
359C4×Dic3—316no—
360C4×Dic3—38no—
361C4×Dic3—38no—
362C4×Dic3—38no—
363C4×Dic3—316no—
364C4×Dic3—316no—
365C22×C32—22no—
366C22×C32—21no—
367C22×C32—22no—
368C22×C32—21no—
369C22×C32—22no—
370C22×C32—22no—
371C22×C32—22no—
372C22×C32—48no—
373C22×C32C2×#4114yes—
374C22×C32C2×#4112yes—
375C22×C32C2511yescharacteristic
376C2×C3⋊D3—22no—
377C2×C3⋊D3—22no—
378C2×C3⋊D3—22no—
379C32×C4—22no—
380C32×C4—22no—
381C32×C4—21no—
382C32×C4—21no—
383C32×C4—21no—
384C32×C4C2×#4112yes—
385C32×C4C2×#4112yes—
386C32×C4C2×#4112yes—
387C3⋊Dic3—22no—
388C3⋊Dic3—24no—
389C3⋊Dic3—22no—
390C3⋊Dic3—24no—
391C3⋊Dic3—22no—
392C2×#41—92no—
393C2×#41—91no—
394C22×D4C2×C3⋊D311yescharacteristic
395C23×C4C2×C3⋊D312yes—
396C4⋊Q8—91no—
397C4⋊Q8—91no—
398#126—94no—
399#126—94no—
400#126—94no—
401#125—94no—
402#125—92no—
403#125—92no—
404#124—92no—
405#124—94no—
406#123—94no—
407#123—94no—
408#123—94no—
409#123—94no—
410C22⋊Q8—92no—
411C22⋊Q8—92no—
412C22⋊Q8—92no—
413C22⋊Q8—92no—
414C22⋊Q8—92no—
415C22⋊Q8—94no—
416#121—94no—
417#121—92no—
418#121—92no—
419#121—92no—
420#120—94no—
421C4×Q8—92no—
422C4×Q8—92no—
423C4×Q8—91no—
424C4×Q8—91no—
425C4×Q8—92no—
426C4×D4—92no—
427C4×D4—94no—
428C4×D4—92no—
429C4×D4—92no—
430C4×D4—94no—
431C4×D4—94no—
432C4×D4—91no—
433C4×D4—91no—
434C4×D4C2×C3⋊D311yescharacteristic
435C4×D4C2×C3⋊D311yescharacteristic
436C4×D4C2×C3⋊D312yes—
437C4×D4C2×C3⋊D311yescharacteristic
438C4×D4C2×C3⋊D312yes—
439C4×D4C2×C3⋊D311yescharacteristic
440#117—91no—
441#117—92no—
442#117—94no—
443#117—94no—
444#117—92no—
445#117—92no—
446#117—92no—
447#117—94no—
448#117—92no—
449C2×C4⋊C4—92no—
450C2×C4⋊C4—92no—
451C2×C4⋊C4C2×C3⋊D311yescharacteristic
452C2×C22⋊C4—94no—
453C2×C22⋊C4C2×C3⋊D312yes—
454C2×C42—94no—
455C2×C42—92no—
456C2×C42C2×C3⋊D311yescharacteristic
457C23×C3—216no—
458C23×C3—216no—
459C23×C3—48no—
460C23×C3C23×D318yes—
461C23×C3C23×D318yes—
462C23×C3C23×D314yes—
463C22×D3—38no—
464C3×D4—216no—
465C3×D4—28no—
466C3×D4#235116yescomplemented
467C2×C3×C4—216no—
468C2×C3×C4—28no—
469C2×C3×C4—216no—
470C2×C3×C4—216no—
471C2×C3×C4—216no—
472C2×C3×C4—216no—
473C2×C3×C4—44no—
474C2×C3×C4#237116yescomplemented
475C2×C3×C4C23×D318yes—
476C2×C3×C4C23×D314yes—
477C2×C3×C4C23×D314yes—
478C2×C3×C4C23×D318yes—
479C2×C3×C4C23×D314yes—
480C2×C3×C4C23×D314yes—
481C2×C3×C4C23×D314yes—
482C2×C3×C4C23×D314yes—
483#67—632no—
484#67—616no—
485#67—1216no—
486C2×Dic3—38no—
487C2×Dic3—38no—
488C2×Dic3—38no—
489C2×Dic3—316no—
490C2×Dic3—316no—
491C2×Dic3—632no—
492C2×Dic3—1216no—
493D12—68no—
494C4×D3—616no—
495C4×D3—616no—
496C4×D3—128no—
497Dic6—616no—
498Dic6—68no—
499Dic6—128no—
500C2×C32—22no—
501C2×C32—24no—
502C2×C32—42no—
503C2×C32C22×#4111yescharacteristic
504C2×C32C22×#4111yescharacteristic
505C2×C32#58511yescharacteristic
506C3⋊D3—42no—
507C24C22×C3⋊D312yes—
508#41—188no—
509#41—184no—
510C2×Q8—91no—
511C2×Q8—92no—
512C2×Q8—92no—
513C2×D4—24no—
514C2×D4—92no—
515C2×D4—94no—
516C2×D4—94no—
517C2×D4—91no—
518C2×D4C22×C3⋊D312yes—
519C2×D4C22×C3⋊D311yescharacteristic
520C2×D4C22×C3⋊D311yescharacteristic
521C22×C4—28no—
522C22×C4—94no—
523C22×C4—94no—
524C22×C4—92no—
525C22×C4—92no—
526C22×C4—92no—
527C22×C4C22×C3⋊D311yescharacteristic
528C22×C4C22×C3⋊D312yes—
529C22×C4C22×C3⋊D312yes—
530C22×C4C22×C3⋊D312yes—
531C22×C4C22×C3⋊D312yes—
532C22×C4C22×C3⋊D312yes—
533C22×C4C22×C3⋊D311yescharacteristic
534C22×C4C22×C3⋊D311yescharacteristic
535C4⋊C4—91no—
536C4⋊C4—91no—
537C4⋊C4—92no—
538C4⋊C4—92no—
539C4⋊C4—94no—
540C4⋊C4—94no—
541C4⋊C4—92no—
542C4⋊C4—92no—
543C4⋊C4—94no—
544C4⋊C4—94no—
545C4⋊C4—92no—
546C4⋊C4—94no—
547C4⋊C4—94no—
548C4⋊C4—92no—
549C4⋊C4C22×C3⋊D311yescharacteristic
550C4⋊C4C22×C3⋊D311yescharacteristic
551C4⋊C4C22×C3⋊D312yes—
552C22⋊C4—92no—
553C22⋊C4—94no—
554C22⋊C4—94no—
555C22⋊C4—94no—
556C22⋊C4—94no—
557C22⋊C4—94no—
558C22⋊C4—92no—
559C22⋊C4—94no—
560C22⋊C4—92no—
561C22⋊C4—94no—
562C22⋊C4C22×C3⋊D312yes—
563C22⋊C4C22×C3⋊D312yes—
564C22⋊C4C22×C3⋊D312yes—
565C22⋊C4C22×C3⋊D312yes—
566C42—94no—
567C42—94no—
568C42—92no—
569C42—92no—
570C42—92no—
571C42—94no—
572C42C22×C3⋊D311yescharacteristic
573C42C22×C3⋊D311yescharacteristic
574C42C22×C3⋊D311yescharacteristic
575C42C22×C3⋊D311yescharacteristic
576C22×C3—24no—
577C22×C3—28no—
578C22×C3—28no—
579C22×C3—24no—
580C22×C3—28no—
581C22×C3—28no—
582C22×C3—28no—
583C22×C3—432no—
584C22×C3C2×#235116yes—
585C22×C3C2×#23718yes—
586C22×C3C24×D314yes—
587C2×D3—68no—
588C2×D3—68no—
589C2×D3—68no—
590C3×C4—24no—
591C3×C4—28no—
592C3×C4—28no—
593C3×C4—24no—
594C3×C4—24no—
595C3×C4C2×#23518yes—
596C3×C4C2×#23718yes—
597C3×C4C2×#23718yes—
598Dic3—616no—
599Dic3—68no—
600Dic3—68no—
601Dic3—616no—
602Dic3—68no—
603C32#347511yescharacteristic, complemented, Sylow
604C23—24no—
605C23—24no—
606C23—42no—
607C23—92no—
608C23C23×C3⋊D312yes—
609C23C23×C3⋊D312yes—
610C23C23×C3⋊D311yescharacteristic
611Q8—184no—
612Q8—182no—
613Q8—362no—
614D4—24no—
615D4—22no—
616D4—188no—
617D4—184no—
618D4—182no—
619D4—364no—
620D4#382814yescomplemented
621C2×C4—24no—
622C2×C4—22no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—41no—
628C2×C4—92no—
629C2×C4—92no—
630C2×C4—94no—
631C2×C4—92no—
632C2×C4—94no—
633C2×C4—188no—
634C2×C4—184no—
635C2×C4—184no—
636C2×C4—362no—
637C2×C4—364no—
638C2×C4#383014yescomplemented
639C2×C4C23×C3⋊D312yes—
640C2×C4C23×C3⋊D311yescharacteristic
641C2×C4C23×C3⋊D311yescharacteristic
642C2×C4C23×C3⋊D311yescharacteristic
643C2×C4C23×C3⋊D312yes—
644C2×C4C23×C3⋊D311yescharacteristic
645C2×C4C23×C3⋊D311yescharacteristic
646C2×C4C23×C3⋊D311yescharacteristic
647C2×C3—28no—
648C2×C3—216no—
649C2×C3—48no—
650C2×C3C22×#23514yes—
651C2×C3C22×#23714yes—
652C2×C3#596414yes—
653D3—128no—
654C22—21no—
655C22—22no—
656C22—21no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—48no—
662C22—182no—
663C22—182no—
664C22—182no—
665C22C2×#382814yes—
666C22C2×#383012yes—
667C22C24×C3⋊D311yescharacteristic
668C4—21no—
669C4—22no—
670C4—22no—
671C4—21no—
672C4—21no—
673C4—182no—
674C4—184no—
675C4—182no—
676C4—182no—
677C4—184no—
678C4C2×#382812yes—
679C4C2×#383012yes—
680C4C2×#383012yes—
681C3#8576414yescomplemented
682C2—22no—
683C2—24no—
684C2—42no—
685C2—362no—
686C2C22×#382811yescharacteristic
687C2C22×#383011yescharacteristic
688C2#1059675611yescharacteristic
subgroupG/H
centerC2×C4C23×C3⋊D3
commutator, socle, cosocleC22×C32C25
FrattiniC22C24×C3⋊D3
FittingC2×C32×C4×D4C2
hypercenterC2×C4×D4C3⋊D3
hypocenterC32#3475
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C2×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×C32×C4×D4C2semidirect
2. #10596277C2semidirect
3. #10596262C2semidirect
4. C2×#64135C2semidirect
5. #10596036C2semidirect
6. #10596034C2semidirect
7. #10596028C2semidirect
8. #10596026C2semidirect
9. #10596014C2semidirect
10. #10596013C2semidirect
11. #10596012C2semidirect
12. #10596009C2semidirect
13. C4×#3830C2semidirect
14. #10595984C2semidirect
15. #10595966C2semidirect
16. C4×#3828C2semidirect
17. #10595941C2semidirect
39. #64139C22semidirect
40. #64139C22semidirect
44. C4×#638C22semidirect
45. C4×#638C22semidirect
49. #64135C22semidirect
50. #64135C22semidirect
51. #64135C22semidirect
52. C2×C4⋊(C3⋊Dic3)C22semidirect
53. C2×C4⋊(C3⋊Dic3)C22semidirect
56. #64133C22semidirect
57. #64133C22semidirect
58. C2×C4×C3⋊Dic3C22semidirect
59. #64107C22semidirect
60. #64106C22semidirect
61. #64101C22semidirect
62. #64099C22semidirect
63. #64098C22semidirect
64. #64096C22semidirect
65. #64095C22semidirect
66. #64094C22semidirect
67. #64092C22semidirect
68. #64090C22semidirect
69. #64088C22semidirect
70. #64088C22semidirect
71. #64087C22semidirect
72. #64086C22semidirect
73. C4×C4⋊(C3⋊D3)C22semidirect
74. C4×C4⋊(C3⋊D3)C22semidirect
75. #64081C22semidirect
76. C42×C3⋊D3C22semidirect
77. #64079C22semidirect
78. #64078C22semidirect
79. #64078C22semidirect
80. C4×#634C22semidirect
81. C4×#634C22semidirect
82. C4×#634C22semidirect
83. C4×#634C22semidirect
84. C2×C3×C4×D4D3semidirect
245. C32×D4#41semidirect
253. C2×C32×C4#41semidirect
294. C2×C4×D4C3⋊D3semidirect
466. C3×D4#235semidirect
474. C2×C3×C4#237semidirect
603. C32#3475semidirect
620. D4#3828semidirect
638. C2×C4#3830semidirect
681. C3#85764semidirect

Maximal subgroups

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

subgroupindex
C2×C32×C4×D42
#105962772
#105962622
C2×#641352
#105960362
#105960342
#105960282
#105960262
#105960142
#105960132
#105960122
#105960092
C4×#38302
#105959842
#105959662
C4×#38282
#105959412
#857643