Finite Group Databasebeta

← #11904666

Subgroups — #11904666

Order 1152.

3463 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#1009C211yesmaximal, characteristic, complemented
2C2×C3×D3×#41C211yesmaximal, characteristic, complemented
3#10596298C211yesmaximal, characteristic, complemented
4#10595412C212yesmaximal, complemented
5#10595409C212yesmaximal, complemented
6#10595244C216yesmaximal, complemented
7D4×#625C216yesmaximal, complemented
8#10595044C213yesmaximal, complemented
9#10595040C213yesmaximal, complemented
10#10595022C213yesmaximal, complemented
11C2×#63908C213yesmaximal, complemented
12#87285—31nomaximal
13#87275—31nomaximal
14C2×C32×#41C2211yescharacteristic
15C3×#1009—28no—
16C3×D3×#41—28no—
17C2×C3×#239C2212yescomplemented
18C2×C3×#239C2211yescharacteristic, complemented
19C2×C3×D3×Q8C2211yescharacteristic, complemented
20C2×C3×#237C2213yescomplemented
21C2×C3×D3×D4C2213yescomplemented
22C2×C3×D3×D4C2216yescomplemented
23C2×C3×#235C2213yescomplemented
24C2×C3×#235C2213yescomplemented
25C22×C3×D12C2213yescomplemented
26C22×C3×C4×D3C2213yescomplemented
27C22×#625C2216yescomplemented
28Q8×C3⋊Dic3C2212yescomplemented
29D4×C3⋊Dic3C2216yescomplemented
30#64135C2213yescomplemented
31C2×C4⋊(C3⋊Dic3)C2213yescomplemented
32#63980C22112yescomplemented
33#63976C2216yescomplemented
34#63976C22112yescomplemented
35#63961C2216yescomplemented
36C2×(C2×D3)⋊Dic3C2216yescomplemented
37#63914C2216yescomplemented
38#63908C2216yescomplemented
39#63908C2216yescomplemented
40#63908C2216yescomplemented
41#63908C2213yescomplemented
42#63908C2216yescomplemented
43#63908C2213yescomplemented
44C4×#625C2216yescomplemented
45C4×#625C2216yescomplemented
46#63863C2216yescomplemented
47#63856C2216yescomplemented
48#63856C2211yescharacteristic, complemented
49#63856C2213yescomplemented
50C2×C3×H(5,𝔽2)—31no—
51C22×C3×#41—31no—
52C2×#1009D311yescharacteristic, complemented
53C2×D3×#41D311yescharacteristic, complemented
54#5834—32no—
55#5834—32no—
56#5833—33no—
57#5833—33no—
58#5831—32no—
59#5830—33no—
60#5829—36no—
61#5828—33no—
62#5827—31no—
63#5827—31no—
64#5827—61no—
65#5817—32no—
66#5806—36no—
67#5805—33no—
68D4×#67—36no—
69D4×#67—36no—
70C2×#938—33no—
71#5791—33no—
72C2×#930—33no—
73C23×C3×D3C2313yes—
74C23×C3×D3C2316yes—
75C32×#41D418yescomplemented
76C2×C32×Q8C2311yescharacteristic
77C2×C32×D4C2313yes—
78C22×C32×C4C2313yes—
79C22×C3⋊Dic3C2316yes—
80C2×C3×#67C2316yes—
81C2×C3×#67C2316yes—
82C22×C3×Dic3C2313yes—
83C3×#239—24no—
84C3×#239—28no—
85C3×D3×Q8—24no—
86C3×#237—212no—
87C3×D3×D4—212no—
88C3×D3×D4—224no—
89C3×#235—212no—
90C3×#235—212no—
91C2×C3×D12—212no—
92C2×C3×D12C2313yes—
93C2×C3×D12C2316yes—
94C2×C3×D12C2313yes—
95C2×C3×C4×D3—212no—
96C2×C3×C4×D3C2311yescharacteristic
97C2×C3×C4×D3C2313yes—
98C2×C3×C4×D3C2313yes—
99C2×C3×C4×D3C2313yes—
100C2×C3×C4×D3C2316yes—
101C2×C3×Dic6C2311yescharacteristic
102C2×C3×Dic6C2313yes—
103C2×#625—412no—
104C2×#625C2316yes—
105C2×#625C23112yes—
106C2×#625C2316yes—
107#3757C2316yes—
108C4⋊(C3⋊Dic3)C2313yes—
109C4⋊(C3⋊Dic3)C2316yes—
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111C4×C3⋊Dic3C2316yes—
112#3724C2316yes—
113#3724C2312yes—
114(C2×D3)⋊Dic3C23112yes—
115(C2×D3)⋊Dic3C2312yes—
116(C2×D3)⋊Dic3C2316yes—
117(C2×D3)⋊Dic3C2316yes—
118(C2×D3)⋊Dic3C2316yes—
119#3488—91noSylow
120C3×H(5,𝔽2)—68no—
121C2×C3×#41—21no—
122C2×C3×#41—31no—
123C2×C3×#41—32no—
124C2×C3×#41—33no—
125C2×C3×#41—33no—
126C2×C3×#41—33no—
127C2×C3×#41—68no—
128C2×C3×#41C2×D311yescharacteristic
129C2×C3×#41C2×D311yescharacteristic
130C22×C3×Q8—31no—
131C22×C3×D4—33no—
132C22×C3×D4—36no—
133C22×C3×D4—33no—
134C23×C3×C4—33no—
135C22×#67—36no—
136C22×#67—36no—
137#1009—28no—
138D3×#41—28no—
139C2×#239C2×D311yescharacteristic, complemented
140C2×#239C2×D312yescomplemented
141C2×D3×Q8C2×D311yescharacteristic, complemented
142C2×#237C2×D313yescomplemented
143C2×D3×D4C2×D313yescomplemented
144C2×D3×D4C2×D316yescomplemented
145C2×#235C2×D313yescomplemented
146C2×#235C2×D313yescomplemented
147C22×D12C2×D313yescomplemented
148C22×C4×D3C2×D313yescomplemented
149#953—36no—
150#953—312no—
151C2×#217—36no—
152#947—36no—
153#946—36no—
154#946—31no—
155#946—33no—
156Q8×Dic3—32no—
157Q8×Dic3—32no—
158Q8×Dic3—62no—
159#940—36no—
160#940—36no—
161#939—312no—
162#939—312no—
163#938—33no—
164#938—36no—
165#938—36no—
166#938—36no—
167#938—36no—
168#938—33no—
169#937—36no—
170#937—312no—
171#936—36no—
172#935—36no—
173D4×Dic3—36no—
174D4×Dic3—36no—
175D4×Dic3—66no—
176#930—33no—
177#930—36no—
178#930—36no—
179#930—36no—
180#930—33no—
181#930—36no—
182#929—36no—
183C4×#67—36no—
184C4×#67—36no—
185C4×#67—36no—
186C4×#67—36no—
187C2×(C2×D3)⋊C4—36no—
188#926—33no—
189#926—33no—
190#926—63no—
191C2×C4⋊Dic3—33no—
192C2×C4⋊Dic3—33no—
193C2×C4⋊Dic3—63no—
194#924—31no—
195#924—33no—
196#924—36no—
197C23×C32C2413yes—
198C22×C3×D3—26no—
199C22×C3×D3—212no—
200C22×C3×D3—26no—
201C22×C3×D3—43no—
202C22×C3×D3—46no—
203C22×C3×D3—46no—
204C22×C3×D3C2416yes—
205C22×C3×D3C2413yes—
206C22×C3×D3C2411yescharacteristic
207C32×Q8C2×D414yescomplemented
208C32×D4C2×D4112yescomplemented
209C2×C32×C4C2×D4112yescomplemented
210C2×C32×C4C2413yes—
211C2×C32×C4C2411yescharacteristic
212C2×C3⋊Dic3—46no—
213C2×C3⋊Dic3C2412yes—
214C2×C3⋊Dic3C2416yes—
215C3×#67—212no—
216C3×#67—212no—
217C2×C3×Dic3—26no—
218C2×C3×Dic3C2413yes—
219C2×C3×Dic3C2411yescharacteristic
220C2×C3×Dic3C2412yes—
221C3×D12—26no—
222C3×D12—212no—
223C3×D12—26no—
224C3×C4×D3—22no—
225C3×C4×D3—26no—
226C3×C4×D3—26no—
227C3×C4×D3—26no—
228C3×C4×D3—212no—
229C3×Dic6—22no—
230C3×Dic6—26no—
231#625—212no—
232#625—412no—
233#625—46no—
234C2×H(5,𝔽2)—31no—
235C22×#41—31no—
236#550—92no—
237#548—92no—
238#546—96no—
239D42—96no—
240#537—93no—
241#535—93no—
242#525—93no—
243C2×#121—93no—
244#520—91no—
245C24×C3—33no—
246C24×C3—36no—
247C23×D3C22×D313yes—
248C23×D3C22×D316yes—
249C3×#41—28no—
250C3×#41—64no—
251C3×#41—68no—
252C3×#41—612no—
253C3×#41—612no—
254C3×#41—612no—
255C3×#41#6718yescomplemented
256C3×#41#6718yescomplemented
257C2×C3×Q8—21no—
258C2×C3×Q8—31no—
259C2×C3×Q8—33no—
260C2×C3×Q8—64no—
261C2×C3×Q8C22×D311yescharacteristic
262C2×C3×Q8C22×D311yescharacteristic
263C2×C3×D4—23no—
264C2×C3×D4—36no—
265C2×C3×D4—36no—
266C2×C3×D4—36no—
267C2×C3×D4—33no—
268C2×C3×D4—33no—
269C2×C3×D4—612no—
270C2×C3×D4—624no—
271C2×C3×D4—612no—
272C2×C3×D4C22×D313yes—
273C2×C3×D4C22×D313yes—
274C22×C3×C4—23no—
275C22×C3×C4—33no—
276C22×C3×C4—36no—
277C22×C3×C4—31no—
278C22×C3×C4—33no—
279C22×C3×C4—33no—
280C22×C3×C4—33no—
281C22×C3×C4—612no—
282C22×C3×C4C22×D313yes—
283C22×C3×C4C22×D313yes—
284C2×#67—36no—
285C2×#67—36no—
286C2×#67—36no—
287C2×#67—36no—
288C2×#67—312no—
289C2×#67—312no—
290C2×#67—1212no—
291C2×#67—1212no—
292C2×#67C22×D316yes—
293C2×#67C22×D316yes—
294C22×Dic3—36no—
295C22×Dic3—36no—
296C22×Dic3—66no—
297C22×Dic3C22×D313yes—
298#239—24no—
299#239—28no—
300D3×Q8—24no—
301#237—212no—
302D3×D4—212no—
303D3×D4—224no—
304#235—212no—
305#235—212no—
306C2×D12—212no—
307C2×D12C22×D313yes—
308C2×D12C22×D313yes—
309C2×D12C22×D316yes—
310C2×C4×D3—212no—
311C2×C4×D3C22×D313yes—
312C2×C4×D3C22×D313yes—
313C2×C4×D3C22×D316yes—
314C2×C4×D3C22×D311yescharacteristic
315C2×C4×D3C22×D313yes—
316C2×Dic6C22×D311yescharacteristic
317C2×Dic6C22×D313yes—
318#217—36no—
319#217—36no—
320#217—32no—
321#217—36no—
322#217—312no—
323#217—36no—
324#217—36no—
325#217—66no—
326(C2×D3)⋊C4—36no—
327(C2×D3)⋊C4—312no—
328(C2×D3)⋊C4—32no—
329(C2×D3)⋊C4—36no—
330(C2×D3)⋊C4—36no—
331C4⋊Dic3—33no—
332C4⋊Dic3—36no—
333C4⋊Dic3—31no—
334C4⋊Dic3—33no—
335C4⋊Dic3—36no—
336C4⋊Dic3—31no—
337C4⋊Dic3—63no—
338C4⋊Dic3—66no—
339C4⋊Dic3—61no—
340Dic3⋊C4—36no—
341Dic3⋊C4—32no—
342Dic3⋊C4—36no—
343Dic3⋊C4—32no—
344C4×Dic3—36no—
345C4×Dic3—36no—
346C4×Dic3—66no—
347C22×C32—23no—
348C22×C32—23no—
349C22×C32C22×D416yes—
350C22×C32C2511yescharacteristic
351C2×C3×D3—21no—
352C2×C3×D3—21no—
353C2×C3×D3—23no—
354C2×C3×D3—26no—
355C2×C3×D3—26no—
356C2×C3×D3—23no—
357C2×C3×D3—23no—
358C2×C3×D3—26no—
359C2×C3×D3—412no—
360C2×C3×D3—812no—
361C2×C3×D3H(5,𝔽2)12yescomplemented
362C32×C4C22×D412yes—
363C32×C4C22×D416yes—
364C3⋊Dic3—26no—
365C3⋊Dic3—22no—
366C3×Dic3—23no—
367C3×Dic3—22no—
368C3×Dic3—21no—
369H(5,𝔽2)—68no—
370C2×#41—32no—
371C2×#41—31no—
372C2×#41—33no—
373C2×#41—33no—
374C2×#41—33no—
375C2×#41—68no—
376C2×#41D3211yescharacteristic
377C22×Q8—31no—
378C22×D4—33no—
379C22×D4—36no—
380C22×D4—33no—
381C22×D4—96no—
382C23×C4—33no—
383#127—96no—
384#124—96no—
385#123—96no—
386C22⋊Q8—91no—
387C22⋊Q8—93no—
388C22⋊Q8—96no—
389#121—93no—
390#121—96no—
391#121—96no—
392#121—96no—
393#121—93no—
394#121—96no—
395#121—912no—
396#120—96no—
397#120—912no—
398C4×Q8—92no—
399C4×D4—96no—
400C4×D4—96no—
401C4×D4—96no—
402#117—93no—
403C2×C4⋊C4—93no—
404C2×C22⋊C4—96no—
405C23×C3—23no—
406C23×C3—31no—
407C23×C3—36no—
408C23×C3—33no—
409C23×C3—66no—
410C23×C3—66no—
411C23×C3—612no—
412C23×C3—123no—
413C23×C3—126no—
414C23×C3—126no—
415C23×C3C23×D313yes—
416C23×C3C23×D313yes—
417C22×D3—26no—
418C22×D3—212no—
419C22×D3—26no—
420C22×D3—43no—
421C22×D3—46no—
422C22×D3—46no—
423C22×D3C23×D316yes—
424C22×D3C23×D313yes—
425C22×D3C23×D311yescharacteristic
426C3×Q8—24no—
427C3×Q8—66no—
428C3×Q8—62no—
429C3×Q8C2×#6714yescomplemented
430C3×Q8C2×#6714yescomplemented
431C3×D4—212no—
432C3×D4—612no—
433C3×D4—612no—
434C3×D4—612no—
435C3×D4—66no—
436C3×D4—66no—
437C3×D4C2×#67112yescomplemented
438C3×D4C2×#67112yescomplemented
439C2×C3×C4—23no—
440C2×C3×C4—21no—
441C2×C3×C4—212no—
442C2×C3×C4—32no—
443C2×C3×C4—31no—
444C2×C3×C4—33no—
445C2×C3×C4—66no—
446C2×C3×C4—62no—
447C2×C3×C4—66no—
448C2×C3×C4—66no—
449C2×C3×C4—66no—
450C2×C3×C4—612no—
451C2×C3×C4C2×#67112yescomplemented
452C2×C3×C4C2×#67112yescomplemented
453C2×C3×C4C23×D313yes—
454C2×C3×C4C23×D313yes—
455C2×C3×C4C23×D311yescharacteristic
456C2×C3×C4C23×D311yescharacteristic
457#67—212no—
458#67—212no—
459#67—612no—
460#67—612no—
461#67—126no—
462#67—126no—
463#67—1212no—
464#67—1212no—
465C2×Dic3—26no—
466C2×Dic3—32no—
467C2×Dic3—32no—
468C2×Dic3—36no—
469C2×Dic3—36no—
470C2×Dic3—62no—
471C2×Dic3—66no—
472C2×Dic3—126no—
473C2×Dic3—126no—
474C2×Dic3—246no—
475C2×Dic3C23×D312yes—
476C2×Dic3C23×D313yes—
477C2×Dic3C23×D311yescharacteristic
478D12—26no—
479D12—212no—
480D12—26no—
481C4×D3—22no—
482C4×D3—26no—
483C4×D3—26no—
484C4×D3—26no—
485C4×D3—212no—
486Dic6—22no—
487Dic6—26no—
488C2×C32—26no—
489C2×C32C23×D411yescharacteristic
490C2×C32C2×H(5,𝔽2)11yescharacteristic
491C2×C32#58511yescharacteristic
492C3×D3—22no—
493C3×D3—43no—
494C3×D3—46no—
495C24—33no—
496C24—36no—
497#41—64no—
498#41—68no—
499#41—612no—
500#41—612no—
501#41—612no—
502#41#62518yescomplemented
503C2×Q8—31no—
504C2×Q8—33no—
505C2×Q8—64no—
506C2×Q8C2×D3211yescharacteristic
507C2×D4—36no—
508C2×D4—36no—
509C2×D4—33no—
510C2×D4—36no—
511C2×D4—33no—
512C2×D4—612no—
513C2×D4—624no—
514C2×D4—612no—
515C2×D4—96no—
516C2×D4—96no—
517C2×D4—912no—
518C2×D4—3612no—
519C2×D4C2×D3213yes—
520C22×C4—33no—
521C22×C4—33no—
522C22×C4—33no—
523C22×C4—36no—
524C22×C4—31no—
525C22×C4—33no—
526C22×C4—612no—
527C22×C4—96no—
528C22×C4C2×D3213yes—
529C4⋊C4—92no—
530C4⋊C4—96no—
531C4⋊C4—93no—
532C4⋊C4—96no—
533C4⋊C4—91no—
534C22⋊C4—96no—
535C22⋊C4—912no—
536C22⋊C4—92no—
537C22⋊C4—96no—
538C22⋊C4—96no—
539C22⋊C4—96no—
540C42—96no—
541C22×C3—23no—
542C22×C3—23no—
543C22×C3—23no—
544C22×C3—23no—
545C22×C3—26no—
546C22×C3—21no—
547C22×C3—32no—
548C22×C3—43no—
549C22×C3—43no—
550C22×C3—61no—
551C22×C3—61no—
552C22×C3—66no—
553C22×C3—66no—
554C22×C3—63no—
555C22×C3—63no—
556C22×C3—63no—
557C22×C3—66no—
558C22×C3—1212no—
559C22×C3—2412no—
560C22×C3C22×#6716yes—
561C22×C3C22×#6716yes—
562C22×C3C24×D311yescharacteristic
563C22×C3C24×D311yescharacteristic
564C2×D3—21no—
565C2×D3—21no—
566C2×D3—23no—
567C2×D3—23no—
568C2×D3—26no—
569C2×D3—26no—
570C2×D3—23no—
571C2×D3—26no—
572C2×D3—412no—
573C2×D3—812no—
574C2×D3#100912yescomplemented
575C3×C4—22no—
576C3×C4—26no—
577C3×C4—61no—
578C3×C4—62no—
579C3×C4—63no—
580C3×C4C22×#6716yes—
581C3×C4C22×#6712yes—
582C3×C4C22×#6712yes—
583C3×C4C22×#6716yes—
584Dic3—23no—
585Dic3—22no—
586Dic3—21no—
587Dic3—66no—
588Dic3—62no—
589Dic3—66no—
590Dic3—62no—
591Dic3—126no—
592Dic3—122no—
593C32#348811yescharacteristic, complemented, Sylow
594C23—31no—
595C23—36no—
596C23—33no—
597C23—66no—
598C23—66no—
599C23—612no—
600C23—123no—
601C23—126no—
602C23—126no—
603C23C22×D3213yes—
604Q8—66no—
605Q8—62no—
606Q8C2×#62514yescomplemented
607D4—612no—
608D4—612no—
609D4—66no—
610D4—612no—
611D4—66no—
612D4—1812no—
613D4—3612no—
614D4—366no—
615D4C2×#625112yescomplemented
616C2×C4—31no—
617C2×C4—33no—
618C2×C4—32no—
619C2×C4—66no—
620C2×C4—62no—
621C2×C4—66no—
622C2×C4—66no—
623C2×C4—66no—
624C2×C4—612no—
625C2×C4—92no—
626C2×C4—96no—
627C2×C4—366no—
628C2×C4C2×#625112yescomplemented
629C2×C4C22×D3213yes—
630C2×C4C22×D3211yescharacteristic
631C2×C3—26no—
632C2×C3—26no—
633C2×C3—21no—
634C2×C3—21no—
635C2×C3—21no—
636C2×C3—46no—
637C2×C3—62no—
638C2×C3—126no—
639C2×C3—123no—
640C2×C3C2×#100911yescharacteristic
641C2×C3#596411yescharacteristic
642C2×C3D3×H(5,𝔽2)11yescharacteristic
643C2×C3#596611yescharacteristic
644C2×C3C23×#6711yescharacteristic
645C2×C3C23×#6711yescharacteristic
646D3—22no—
647D3—43no—
648D3—46no—
649C22—23no—
650C22—23no—
651C22—32no—
652C22—61no—
653C22—61no—
654C22—66no—
655C22—63no—
656C22—63no—
657C22—66no—
658C22—63no—
659C22—66no—
660C22—1212no—
661C22—2412no—
662C22C22×#62516yes—
663C22C23×D3211yescharacteristic
664C4—61no—
665C4—62no—
666C4—63no—
667C4—186no—
668C4—182no—
669C4C22×#62512yes—
670C4C22×#62516yes—
671C3—21no—
672C3#8727511yescharacteristic, complemented
673C3#8728511yescharacteristic, complemented
674C2—26no—
675C2—62no—
676C2—123no—
677C2—126no—
678C2D3×#100911yescharacteristic
679C2#1059669611yescharacteristic
680C2C23×#62511yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC2×C32×#41C22
hypercenterC2×#41D32
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×C3×#1009C2semidirect
2. C2×C3×D3×#41C2semidirect
3. #10596298C2semidirect
4. #10595412C2semidirect
5. #10595409C2semidirect
6. #10595244C2semidirect
7. D4×#625C2semidirect
8. #10595044C2semidirect
9. #10595040C2semidirect
10. #10595022C2semidirect
11. C2×#63908C2semidirect
17. C2×C3×#239C22semidirect
18. C2×C3×#239C22semidirect
19. C2×C3×D3×Q8C22semidirect
20. C2×C3×#237C22semidirect
21. C2×C3×D3×D4C22semidirect
22. C2×C3×D3×D4C22semidirect
23. C2×C3×#235C22semidirect
24. C2×C3×#235C22semidirect
25. C22×C3×D12C22semidirect
26. C22×C3×C4×D3C22semidirect
27. C22×#625C22semidirect
28. Q8×C3⋊Dic3C22semidirect
29. D4×C3⋊Dic3C22semidirect
30. #64135C22semidirect
31. C2×C4⋊(C3⋊Dic3)C22semidirect
32. #63980C22semidirect
33. #63976C22semidirect
34. #63976C22semidirect
35. #63961C22semidirect
36. C2×(C2×D3)⋊Dic3C22semidirect
37. #63914C22semidirect
38. #63908C22semidirect
39. #63908C22semidirect
40. #63908C22semidirect
41. #63908C22semidirect
42. #63908C22semidirect
43. #63908C22semidirect
44. C4×#625C22semidirect
45. C4×#625C22semidirect
46. #63863C22semidirect
47. #63856C22semidirect
48. #63856C22semidirect
49. #63856C22semidirect
52. C2×#1009D3semidirect
53. C2×D3×#41D3semidirect
75. C32×#41D4semidirect
139. C2×#239C2×D3semidirect
140. C2×#239C2×D3semidirect
141. C2×D3×Q8C2×D3semidirect
142. C2×#237C2×D3semidirect
143. C2×D3×D4C2×D3semidirect
144. C2×D3×D4C2×D3semidirect
145. C2×#235C2×D3semidirect
146. C2×#235C2×D3semidirect
147. C22×D12C2×D3semidirect
148. C22×C4×D3C2×D3semidirect
207. C32×Q8C2×D4semidirect
208. C32×D4C2×D4semidirect
209. C2×C32×C4C2×D4semidirect
255. C3×#41#67semidirect
256. C3×#41#67semidirect
361. C2×C3×D3H(5,𝔽2)semidirect
429. C3×Q8C2×#67semidirect
430. C3×Q8C2×#67semidirect
437. C3×D4C2×#67semidirect
438. C3×D4C2×#67semidirect
451. C2×C3×C4C2×#67semidirect
452. C2×C3×C4C2×#67semidirect
502. #41#625semidirect
574. C2×D3#1009semidirect
593. C32#3488semidirect
606. Q8C2×#625semidirect
615. D4C2×#625semidirect
628. C2×C4C2×#625semidirect
672. C3#87275semidirect
673. C3#87285semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#10092
C2×C3×D3×#412
#105962982
#105954122
#105954092
#105952442
D4×#6252
#105950442
#105950402
#105950222
C2×#639082
#872853
#872753