Finite Group Databasebeta

← #11808751

Subgroups — #11808751

Order 1152.

1773 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#67⋊C4C211yesmaximal, characteristic, complemented
2C2×Dic3×#67C212yesmaximal, complemented
3C2×Dic3×D12C211yesmaximal, characteristic, complemented
4C2×#63879C212yesmaximal, complemented
5#10592648C211yesmaximal, characteristic, complemented
6C3×#4960C211yesmaximal, characteristic, complemented
7#10591723C212yesmaximal, complemented
8#10591389C211yesmaximal, characteristic, complemented
9#10591317C211yesmaximal, characteristic, complemented
10#10591303C212yesmaximal, complemented
11#10591239C211yesmaximal, characteristic, complemented
12#82347—31nomaximal
13#76667—31nomaximal
14C22×C3×#67C2212yes—
15C22×C3×#67C2211yescharacteristic
16C23×C3×Dic3C2211yescharacteristic
17C22×C3×D12C2211yescharacteristic
18C22×C3×C4×D3C2211yescharacteristic
19C22×#625C2212yes—
20C22×D3×Dic3C2212yes—
21C2×C32×C22⋊C4C2211yescharacteristic
22C2×#3757C2212yes—
23C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
24C2×#3750C2212yes—
25C2×C3×(C2×D3)⋊C4C2212yes—
26C2×C3×(C2×D3)⋊C4C2211yescharacteristic
27C2×C3×Dic3⋊C4C2211yescharacteristic
28C2×C3×C4×Dic3C2211yescharacteristic
29C3×#67⋊C4—24no—
30Dic3×#67—28no—
31C2×Dic3⋊Dic3C2212yes—
32C2×(C2×D3)⋊Dic3C2212yes—
33C2×(C2×D3)⋊Dic3C2212yes—
34C2×(C2×D3)⋊Dic3C2212yes—
35C2×Dic32C2212yes—
36Dic3×D12—24no—
37#63879—28no—
38#63658C2211yescharacteristic
39C3×C3⋊#95C2211yescharacteristic
40#63579C2212yes—
41C2×C3×C4×D4—31no—
42C2×D4×Dic3—32no—
43C2×D4×Dic3—31no—
44C2×C4×#67—32no—
45C2×C4×#67—32no—
46C2×#67⋊C4—32no—
47C2×#67⋊C4D311yescharacteristic, complemented
48C2×C4×D12—31no—
49C3×#392—31no—
50#5223—32no—
51#5223—32no—
52#5223—31no—
53#4993—32no—
54#4960—31no—
55#4960D311yescharacteristic, complemented
56#4949—31no—
57#4949—31no—
58#4949—32no—
59#4949—31no—
60#4949—61no—
61#4932—31no—
62#4677—31no—
63#4648—31no—
64C24×C32C2311yescharacteristic
65C23×C3×D3C2312yes—
66C23×C3×D3C2311yescharacteristic
67C22×C32×C4C2311yescharacteristic
68C22×C32×C4C2311yescharacteristic
69C22×C3⋊Dic3C2312yes—
70C22×C3⋊Dic3C2312yes—
71C2×C3×#67—22no—
72C2×C3×#67—24no—
73C2×C3×#67—22no—
74C2×C3×#67—24no—
75C2×C3×#67—22no—
76C2×C3×#67—24no—
77C22×C3×Dic3—22no—
78C22×C3×Dic3—24no—
79C22×C3×Dic3C2311yescharacteristic
80C22×C3×Dic3C2311yescharacteristic
81C22×C3×Dic3C2312yes—
82C22×C3×Dic3C2311yescharacteristic
83C2×C3×D12—24no—
84C2×C3×D12—22no—
85C2×C3×C4×D3—22no—
86C2×C3×C4×D3—24no—
87C2×#625—24no—
88C2×#625—24no—
89C2×#625—24no—
90C2×D3×Dic3—24no—
91C2×D3×Dic3—24no—
92C2×D3×Dic3—24no—
93C32×C22⋊C4—22no—
94#3757—24no—
95C4⋊(C3⋊Dic3)—22no—
96#3750—24no—
97C3×(C2×D3)⋊C4—22no—
98C3×(C2×D3)⋊C4—24no—
99C3×Dic3⋊C4—22no—
100C3×C4×Dic3D414yescomplemented
101Dic3⋊Dic3—24no—
102(C2×D3)⋊Dic3—24no—
103(C2×D3)⋊Dic3—24no—
104(C2×D3)⋊Dic3—24no—
105Dic32D418yescomplemented
106#2397—91noSylow
107C22×C3×D4—31no—
108C22×C3×D4—32no—
109C22×C3×D4—31no—
110C23×C3×C4—31no—
111C23×C3×C4—31no—
112C22×#67—32no—
113C22×#67—32no—
114C22×#67C2×D312yes—
115C22×#67C2×D311yescharacteristic
116C23×Dic3—32no—
117C23×Dic3C2×D311yescharacteristic
118C22×D12C2×D311yescharacteristic
119C22×C4×D3—32no—
120C22×C4×D3C2×D311yescharacteristic
121C3×C4×D4—64no—
122C2×C3×C4⋊C4—31no—
123C2×C3×C22⋊C4—21no—
124C2×C3×C22⋊C4—31no—
125C2×C3×C22⋊C4—32no—
126C2×C3×C22⋊C4C2×D311yescharacteristic
127C2×C3×C22⋊C4C2×D311yescharacteristic
128C2×C3×C42—31no—
129C2×#217—32no—
130C2×#217—32no—
131C2×#217—32no—
132C2×#217—32no—
133C2×#217—32no—
134C2×#217—62no—
135D4×Dic3—68no—
136D4×Dic3—64no—
137C4×#67—68no—
138C4×#67—68no—
139C2×(C2×D3)⋊C4—32no—
140C2×(C2×D3)⋊C4—32no—
141C2×(C2×D3)⋊C4—32no—
142C2×(C2×D3)⋊C4C2×D311yescharacteristic
143C2×(C2×D3)⋊C4C2×D312yes—
144C2×C4⋊Dic3—31no—
145C2×C4⋊Dic3—31no—
146C2×C4⋊Dic3—32no—
147C2×C4⋊Dic3—61no—
148C2×Dic3⋊C4—32no—
149C2×Dic3⋊C4—32no—
150C2×Dic3⋊C4—32no—
151C2×Dic3⋊C4—62no—
152C2×Dic3⋊C4C2×D311yescharacteristic
153C2×C4×Dic3—32no—
154C2×C4×Dic3—32no—
155C2×C4×Dic3C2×D311yescharacteristic
156#67⋊C4—24no—
157#67⋊C4—68no—
158C4×D12—64no—
159C3×#95—31no—
160C3⋊#95—31no—
161C3⋊#95—31no—
162C3⋊#95—32no—
163C3⋊#95—32no—
164C3⋊#95—61no—
165C3⋊#95C2×D311yescharacteristic
166C23×C32—22no—
167C23×C32—21no—
168C23×C32—21no—
169C23×C32—22no—
170C23×C32#4112yes—
171C23×C32C2411yescharacteristic
172C22×C3×D3—22no—
173C22×C3×D3—22no—
174C22×C3×D3—22no—
175C22×C3×D3—22no—
176C22×C3×D3—21no—
177C22×C3×D3—22no—
178C22×C3×D3—22no—
179C22×C3×D3—22no—
180C22×C3×D3—21no—
181C22×C3×D3—22no—
182C22×C3×D3#4112yes—
183C22×C3×D3#4114yes—
184C2×C32×C4—22no—
185C2×C32×C4—21no—
186C2×C32×C4—22no—
187C2×C32×C4C2×D412yes—
188C2×C3⋊Dic3—22no—
189C2×C3⋊Dic3—22no—
190C2×C3⋊Dic3—22no—
191C2×C3⋊Dic3—22no—
192C2×C3⋊Dic3—22no—
193C2×C3⋊Dic3C2×D414yes—
194C3×#67—28no—
195C3×#67—216no—
196C2×C3×Dic3—21no—
197C2×C3×Dic3—21no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3—22no—
201C2×C3×Dic3—21no—
202C2×C3×Dic3—44no—
203C2×C3×Dic3C2×D414yes—
204C2×C3×Dic3C2×D414yes—
205C2×C3×Dic3C2×D412yes—
206C2×C3×Dic3C2×D412yes—
207C3×D12—28no—
208C3×C4×D3—44no—
209#625—216no—
210D3×Dic3—48no—
211C2×C4×D4—31no—
212C2×C4×D4—91no—
213C2×C4×D4—92no—
214C2×C4×D4—92no—
215#399—91no—
216#399—92no—
217#399—91no—
218#392—31no—
219#392—91no—
220#392—92no—
221#376—91no—
222C24×C3—21no—
223C24×C3—32no—
224C24×C3—31no—
225C24×C3C22×D311yescharacteristic
226C24×C3C22×D311yescharacteristic
227C23×D3C22×D311yescharacteristic
228C23×D3C22×D312yes—
229C2×C3×D4—64no—
230C2×C3×D4—64no—
231C2×C3×D4—62no—
232C2×C3×D4—62no—
233C2×C3×D4—64no—
234C2×C3×D4—64no—
235C2×C3×D4—62no—
236C2×C3×D4—62no—
237C22×C3×C4—21no—
238C22×C3×C4—21no—
239C22×C3×C4—31no—
240C22×C3×C4—31no—
241C22×C3×C4—32no—
242C22×C3×C4—31no—
243C22×C3×C4—64no—
244C22×C3×C4—62no—
245C22×C3×C4—64no—
246C22×C3×C4—62no—
247C22×C3×C4C22×D311yescharacteristic
248C22×C3×C4C22×D311yescharacteristic
249C22×C3×C4C22×D311yescharacteristic
250C22×C3×C4C22×D311yescharacteristic
251C2×#67—22no—
252C2×#67—24no—
253C2×#67—22no—
254C2×#67—24no—
255C2×#67—24no—
256C2×#67—22no—
257C2×#67—64no—
258C2×#67—64no—
259C2×#67—64no—
260C2×#67—64no—
261C2×#67—64no—
262C2×#67—64no—
263C22×Dic3—24no—
264C22×Dic3—22no—
265C22×Dic3—32no—
266C22×Dic3—32no—
267C22×Dic3—32no—
268C22×Dic3—32no—
269C22×Dic3—62no—
270C22×Dic3—62no—
271C22×Dic3—64no—
272C22×Dic3—64no—
273C22×Dic3—64no—
274C22×Dic3C22×D311yescharacteristic
275C22×Dic3C22×D312yes—
276C22×Dic3C22×D311yescharacteristic
277C22×Dic3C22×D311yescharacteristic
278C2×D12—24no—
279C2×D12—22no—
280C2×C4×D3—24no—
281C2×C4×D3—22no—
282C2×C4×D3—64no—
283C2×C4×D3—64no—
284C2×C4×D3—64no—
285C3×C4⋊C4—62no—
286C3×C22⋊C4—22no—
287C3×C22⋊C4—22no—
288C3×C22⋊C4—42no—
289C3×C22⋊C4—64no—
290C3×C22⋊C4—62no—
291C3×C42—34no—
292#217—64no—
293#217—64no—
294#217—64no—
295#217—64no—
296#217—64no—
297#217—124no—
298(C2×D3)⋊C4—22no—
299(C2×D3)⋊C4—24no—
300(C2×D3)⋊C4—64no—
301(C2×D3)⋊C4—64no—
302(C2×D3)⋊C4—64no—
303C4⋊Dic3—64no—
304C4⋊Dic3—62no—
305C4⋊Dic3—62no—
306C4⋊Dic3—122no—
307Dic3⋊C4—22no—
308Dic3⋊C4—64no—
309Dic3⋊C4—64no—
310Dic3⋊C4—64no—
311Dic3⋊C4—124no—
312C4×Dic3—38no—
313C4×Dic3—38no—
314C4×Dic3#6714yescomplemented
315C22×C32—22no—
316C22×C32—24no—
317C22×C32—42no—
318C22×C32—41no—
319C22×C32—41no—
320C22×C32C22×D412yes—
321C22×C32C22×D411yescharacteristic
322C22×C32C2×#4111yescharacteristic
323C22×C32C2×#4111yescharacteristic
324C22×C32C2×#4112yes—
325C2×C3×D3—24no—
326C2×C3×D3—24no—
327C2×C3×D3—24no—
328C2×C3×D3—22no—
329C2×C3×D3—24no—
330C2×C3×D3—42no—
331C2×C3×D3—41no—
332C2×C3×D3—42no—
333C2×C3×D3—42no—
334C2×C3×D3—42no—
335C2×C3×D3—42no—
336C2×C3×D3—41no—
337C32×C4—22no—
338C32×C4—41no—
339C3⋊Dic3—24no—
340C3⋊Dic3—42no—
341C3×Dic3—22no—
342C3×Dic3—24no—
343C3×Dic3—41no—
344C3×Dic3#12714yes—
345C22×D4—31no—
346C22×D4—32no—
347C22×D4—31no—
348C22×D4—92no—
349C23×C4—31no—
350C23×C4—31no—
351C23×C4—92no—
352C4×D4—64no—
353C4×D4—184no—
354C4×D4—188no—
355C4×D4—188no—
356C2×C4⋊C4—31no—
357C2×C4⋊C4—92no—
358C2×C4⋊C4—92no—
359C2×C4⋊C4—91no—
360C2×C22⋊C4—31no—
361C2×C22⋊C4—32no—
362C2×C22⋊C4—92no—
363C2×C22⋊C4—92no—
364C2×C22⋊C4—92no—
365C2×C22⋊C4—92no—
366C2×C22⋊C4D3211yescharacteristic
367C2×C42—31no—
368C2×C42—92no—
369#95—31no—
370#95—92no—
371#95—91no—
372C23×C3—21no—
373C23×C3—22no—
374C23×C3—22no—
375C23×C3—21no—
376C23×C3—22no—
377C23×C3—21no—
378C23×C3—22no—
379C23×C3—21no—
380C23×C3—21no—
381C23×C3—22no—
382C23×C3—32no—
383C23×C3—34no—
384C23×C3—42no—
385C23×C3—41no—
386C23×C3—41no—
387C23×C3—42no—
388C23×C3—62no—
389C23×C3—62no—
390C23×C3—62no—
391C23×C3—62no—
392C23×C3—62no—
393C23×C3—61no—
394C23×C3—62no—
395C23×C3—61no—
396C23×C3—62no—
397C23×C3—62no—
398C23×C3#23512yes—
399C23×C3#23712yes—
400C23×C3C23×D311yescharacteristic
401C23×C3C23×D311yescharacteristic
402C22×D3—21no—
403C22×D3—22no—
404C22×D3—22no—
405C22×D3—22no—
406C22×D3—22no—
407C22×D3—22no—
408C22×D3—22no—
409C22×D3—22no—
410C22×D3—22no—
411C22×D3—21no—
412C22×D3#23512yes—
413C22×D3#23714yes—
414C3×D4—68no—
415C3×D4—616no—
416C3×D4—68no—
417C2×C3×C4—22no—
418C2×C3×C4—22no—
419C2×C3×C4—22no—
420C2×C3×C4—22no—
421C2×C3×C4—21no—
422C2×C3×C4—21no—
423C2×C3×C4—22no—
424C2×C3×C4—34no—
425C2×C3×C4—32no—
426C2×C3×C4—34no—
427C2×C3×C4—32no—
428C2×C3×C4—42no—
429C2×C3×C4—42no—
430C2×C3×C4—41no—
431C2×C3×C4—62no—
432C2×C3×C4—61no—
433C2×C3×C4—61no—
434C2×C3×C4—62no—
435C2×C3×C4—62no—
436C2×C3×C4—61no—
437C2×C3×C4—124no—
438C2×C3×C4—124no—
439C2×C3×C4D3×D412yes—
440C2×C3×C4C2×#6712yes—
441#67—28no—
442#67—216no—
443#67—616no—
444#67—616no—
445C2×Dic3—21no—
446C2×Dic3—21no—
447C2×Dic3—22no—
448C2×Dic3—22no—
449C2×Dic3—22no—
450C2×Dic3—21no—
451C2×Dic3—34no—
452C2×Dic3—34no—
453C2×Dic3—44no—
454C2×Dic3—64no—
455C2×Dic3—62no—
456C2×Dic3—62no—
457C2×Dic3—62no—
458C2×Dic3—62no—
459C2×Dic3—62no—
460C2×Dic3—62no—
461C2×Dic3—62no—
462C2×Dic3—62no—
463C2×Dic3—62no—
464C2×Dic3—62no—
465C2×Dic3—122no—
466C2×Dic3—122no—
467C2×Dic3—122no—
468C2×Dic3—122no—
469C2×Dic3—122no—
470C2×Dic3—128no—
471C2×Dic3D3×D414yes—
472C2×Dic3D3×D414yes—
473C2×Dic3C2×#6712yes—
474C2×Dic3C2×#6712yes—
475D12—28no—
476C4×D3—44no—
477C4×D3—128no—
478C2×C32—42no—
479C2×C32#52511yescharacteristic
480C2×C32#52512yes—
481C2×C32#52512yes—
482C2×C32#52511yescharacteristic
483C2×C32C2×#12711yescharacteristic
484C3×D3—44no—
485C3×D3—42no—
486C24—31no—
487C24—32no—
488C24C2×D3211yescharacteristic
489C2×D4—64no—
490C2×D4—62no—
491C2×D4—64no—
492C2×D4—62no—
493C2×D4—64no—
494C2×D4—62no—
495C2×D4—64no—
496C2×D4—62no—
497C2×D4—184no—
498C2×D4—184no—
499C2×D4—184no—
500C22×C4—31no—
501C22×C4—32no—
502C22×C4—31no—
503C22×C4—31no—
504C22×C4—62no—
505C22×C4—64no—
506C22×C4—62no—
507C22×C4—64no—
508C22×C4—92no—
509C22×C4—92no—
510C22×C4—184no—
511C22×C4—184no—
512C22×C4—184no—
513C22×C4C2×D3211yescharacteristic
514C22×C4C2×D3211yescharacteristic
515C4⋊C4—62no—
516C4⋊C4—184no—
517C4⋊C4—184no—
518C4⋊C4—182no—
519C22⋊C4—22no—
520C22⋊C4—64no—
521C22⋊C4—62no—
522C22⋊C4—184no—
523C22⋊C4—184no—
524C22⋊C4—184no—
525C22⋊C4—184no—
526C42—34no—
527C42—98no—
528C22×C3—22no—
529C22×C3—24no—
530C22×C3—24no—
531C22×C3—22no—
532C22×C3—21no—
533C22×C3—21no—
534C22×C3—22no—
535C22×C3—22no—
536C22×C3—21no—
537C22×C3—44no—
538C22×C3—42no—
539C22×C3—41no—
540C22×C3—42no—
541C22×C3—41no—
542C22×C3—41no—
543C22×C3—41no—
544C22×C3—42no—
545C22×C3—64no—
546C22×C3—64no—
547C22×C3—64no—
548C22×C3—64no—
549C22×C3—62no—
550C22×C3—81no—
551C22×C3—81no—
552C22×C3—82no—
553C22×C3—121no—
554C22×C3—122no—
555C22×C3—122no—
556C22×C3—122no—
557C22×C3—122no—
558C22×C3—122no—
559C22×C3—121no—
560C22×C3C2×#23511yescharacteristic
561C22×C3C2×#23511yescharacteristic
562C22×C3C2×D3×D412yes—
563C22×C3C2×D3×D412yes—
564C22×C3C2×D3×D411yescharacteristic
565C22×C3C2×#23711yescharacteristic
566C22×C3C2×#23712yes—
567C22×C3D3×#4111yescharacteristic
568C22×C3D3×#4112yes—
569C22×C3C22×#6711yescharacteristic
570C2×D3—22no—
571C2×D3—24no—
572C2×D3—24no—
573C2×D3—24no—
574C2×D3—24no—
575C2×D3—42no—
576C2×D3—42no—
577C2×D3—41no—
578C2×D3—41no—
579C2×D3—42no—
580C2×D3—42no—
581C2×D3—42no—
582C3×C4—22no—
583C3×C4—22no—
584C3×C4—34no—
585C3×C4—42no—
586C3×C4—41no—
587C3×C4—41no—
588C3×C4—64no—
589C3×C4—62no—
590C3×C4—81no—
591C3×C4—121no—
592Dic3—22no—
593Dic3—24no—
594Dic3—41no—
595Dic3—64no—
596Dic3—64no—
597Dic3—124no—
598Dic3—122no—
599Dic3—122no—
600Dic3—242no—
601Dic3#94014yes—
602C32#239711yescharacteristic, complemented, Sylow
603C23—21no—
604C23—22no—
605C23—22no—
606C23—21no—
607C23—32no—
608C23—34no—
609C23—62no—
610C23—61no—
611C23—62no—
612C23—62no—
613C23—62no—
614C23—62no—
615C23—62no—
616C23—62no—
617C23—61no—
618C23—62no—
619C23#379512yes—
620C23C22×D3211yescharacteristic
621D4—68no—
622D4—616no—
623D4—68no—
624D4—1816no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—34no—
629C2×C4—32no—
630C2×C4—34no—
631C2×C4—32no—
632C2×C4—62no—
633C2×C4—61no—
634C2×C4—61no—
635C2×C4—62no—
636C2×C4—62no—
637C2×C4—61no—
638C2×C4—94no—
639C2×C4—124no—
640C2×C4—124no—
641C2×C4—182no—
642C2×C4—182no—
643C2×C4—182no—
644C2×C4—182no—
645C2×C4—182no—
646C2×C4—368no—
647C2×C4D3×#6712yes—
648C2×C3—22no—
649C2×C3—21no—
650C2×C3—21no—
651C2×C3—21no—
652C2×C3—22no—
653C2×C3—42no—
654C2×C3—42no—
655C2×C3—82no—
656C2×C3—122no—
657C2×C3—124no—
658C2×C3#554712yes—
659C2×C3#554712yes—
660C2×C3#558612yes—
661C2×C3#558611yescharacteristic
662C2×C3#560611yescharacteristic
663C2×C3#560612yes—
664C2×C3D3×#12711yescharacteristic
665C2×C3#579111yescharacteristic
666C2×C3C2×#94011yescharacteristic
667C2×C3#582811yescharacteristic
668D3—44no—
669D3—42no—
670C22—24no—
671C22—22no—
672C22—41no—
673C22—41no—
674C22—42no—
675C22—64no—
676C22—62no—
677C22—64no—
678C22—64no—
679C22—64no—
680C22—122no—
681C22—122no—
682C22—122no—
683C22—121no—
684C22—121no—
685C22—122no—
686C22—122no—
687C22C2×#379511yescharacteristic
688C22D3×#23511yescharacteristic
689C22D32×D412yes—
690C22D3×#23712yes—
691C22C2×D3×#6711yescharacteristic
692C4—22no—
693C4—34no—
694C4—41no—
695C4—64no—
696C4—62no—
697C4—121no—
698C4—184no—
699C4—362no—
700C3—21no—
701C3#7666711yescharacteristic, complemented
702C3#8234711yescharacteristic, complemented
703C2—42no—
704C2—124no—
705C2—122no—
706C2#1059405412yes—
707C2#1059428612yes—
708C2#1059489211yescharacteristic
709C2#1059515411yescharacteristic
710C2D3×#94011yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutator, socle, cosocleC23×C32C24
FittingC2×C32×C22⋊C4C22
hypercenterC2×C22⋊C4D32
hypocenterC32#2397
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×C3×#67⋊C4C2semidirect
2. C2×Dic3×#67C2semidirect
3. C2×Dic3×D12C2semidirect
4. C2×#63879C2semidirect
5. #10592648C2semidirect
6. C3×#4960C2semidirect
7. #10591723C2semidirect
8. #10591389C2semidirect
9. #10591317C2semidirect
10. #10591303C2semidirect
11. #10591239C2semidirect
47. C2×#67⋊C4D3semidirect
55. #4960D3semidirect
100. C3×C4×Dic3D4semidirect
105. Dic32D4semidirect
314. C4×Dic3#67semidirect
602. C32#2397semidirect
701. C3#76667semidirect
702. C3#82347semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#67⋊C42
C2×Dic3×#672
C2×Dic3×D122
C2×#638792
#105926482
C3×#49602
#105917232
#105913892
#105913172
#105913032
#105912392
#823473
#766673