Finite Group Databasebeta

← D3×#5050 #11863659

Subgroups — D3×#5050 #11863659

Order 1152.

1554 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D3×Dic6C211yesmaximal, characteristic
2C3×D3×C22⋊Q8C211yesmaximal, characteristic
3C2×D3×#216C212yesmaximal, complemented
4#10592749C211yesmaximal, characteristic, complemented
5C3×#5050C211yesmaximal, characteristic, complemented
6#10591653C212yesmaximal, complemented
7#10591190C211yesmaximal, characteristic, complemented
8#10591185C211yesmaximal, characteristic, complemented
9D3×#830C211yesmaximal, characteristic
10#10590604C212yesmaximal, complemented
11D3×#810C212yesmaximal, complemented
12C2×#5050—31nomaximal
13D3×#451—31nomaximal
14C22×#634C2211yescharacteristic
15C2×C3×D3×Q8C2211yescharacteristic
16C22×C3×C4×D3C2211yescharacteristic
17C22×C3×Dic6C2211yescharacteristic
18C22×#627—21no—
19C22×D3×Dic3—21no—
20C2×D3×Dic6—21no—
21C2×D3×Dic6—21no—
22C2×D3×Dic6—28no—
23C2×D3×Dic6C2212yes—
24C2×D3×Dic6C2212yes—
25C32×C22⋊Q8C2211yescharacteristic
26C2×#3756C2212yescomplemented
27C3×#946C2211yescharacteristic
28C2×C3×#216C2212yescomplemented
29C3×#924C2211yescharacteristic
30C3×#897C2211yescharacteristic
31C3×#896—21no—
32C3×D3×C4⋊C4—21no—
33C3×D3×C4⋊C4C2211yescharacteristic
34C3×D3×C22⋊C4—21no—
35C3×#878—21no—
36D3×#216—28no—
37C2×#3719C2212yescomplemented
38C2×#3718C2212yescomplemented
39C2×D3×C3⋊C8C2212yes—
40#63657C2211yescharacteristic
41#63637C2212yescomplemented
42C3×#830C2211yescharacteristic
43C3×#810C2212yescomplemented
44#63567C2212yescomplemented
45#63565C2212yescomplemented
46(C2×D3)⋊(C3⋊C8)C2212yes—
47C22×D3×Q8—31no—
48C23×Dic6—31no—
49C2×C3×C22⋊Q8—31no—
50C22×#216—32no—
51C2×D3×Q16—32no—
52D3×C22⋊Q8D311yescharacteristic
53C3×#451—31no—
54#5228—31no—
55C2×#830—31no—
56#5186—32no—
57#5050—31no—
58#5050—31no—
59#5050—31no—
60#5050—32no—
61#5050—31no—
62#5050—32no—
63#5050—61no—
64#5050D311yescharacteristic, direct product factor
65C2×#810—32no—
66#4809—32no—
67D3×#103—32no—
68#4739—31no—
69D3×C22⋊C8—31no—
70C23×C3×D3D411yescharacteristic
71C2×C32×Q8C2311yescharacteristic
72C22×C32×C4C2311yescharacteristic
73C22×C3⋊Dic3—21no—
74C2×#634—21no—
75C2×#634—24no—
76C2×#634C2312yes—
77C22×C3×Dic3—21no—
78C22×C3×Dic3D411yescharacteristic
79C3×D3×Q8—24no—
80C2×C3×C4×D3—24no—
81C2×C3×C4×D3—21no—
82C2×C3×C4×D3—21no—
83C2×C3×C4×D3D411yescharacteristic
84C2×C3×C4×D3D411yescharacteristic
85C2×C3×C4×D3C2311yescharacteristic
86C2×C3×C4×D3C2311yescharacteristic
87C2×C3×Dic6—21no—
88C2×C3×Dic6—24no—
89C2×C3×Dic6—21no—
90C2×C3×Dic6C2311yescharacteristic
91C2×C3×Dic6C2312yes—
92C2×#627—28no—
93C2×#627—22no—
94C2×#627—22no—
95C2×D3×Dic3—28no—
96C2×D3×Dic3—22no—
97C2×D3×Dic3—22no—
98D3×Dic6—28no—
99D3×Dic6—28no—
100D3×Dic6—24no—
101D3×Dic6—24no—
102D3×Dic6—24no—
103D3×Dic6D418yes—
104C32×C4⋊C4—21no—
105C32×C4⋊C4C2311yescharacteristic
106C32×C22⋊C4—21no—
107#3756—24no—
108C2×C3⋊(C3⋊C8)C2312yes—
109C3×#217—21no—
110C3×#216—24no—
111C3×(C2×D3)⋊C4—21no—
112C3×(C2×D3)⋊C4—21no—
113C3×C4⋊Dic3—21no—
114C3×C4⋊Dic3C2311yescharacteristic
115C3×Dic3⋊C4—21no—
116C3×Dic3⋊C4—21no—
117C3×Dic3⋊C4—21no—
118C2×C3×C3⋊C8C2312yes—
119#3719—24no—
120#3718—24no—
121D3×C3⋊C8—24no—
122C2×#451—91noSylow
123C22×C3×Q8—31no—
124C22×C3×Q8—31no—
125C23×C3×C4—31no—
126C23×Dic3—61no—
127C2×D3×Q8—32no—
128C2×D3×Q8—32no—
129C2×D3×Q8—68no—
130C2×D3×Q8—61no—
131C2×D3×Q8—61no—
132C2×D3×Q8C2×D311yescharacteristic
133C22×C4×D3—61no—
134C22×C4×D3C2×D311yescharacteristic
135C22×Dic6—32no—
136C22×Dic6—31no—
137C22×Dic6—31no—
138C22×Dic6—32no—
139C22×Dic6—61no—
140C22×Dic6—68no—
141C22×Dic6—61no—
142C22×Dic6—61no—
143C22×Dic6—61no—
144C22×Dic6—61no—
145C22×Dic6C2×D311yescharacteristic
146C2×C3×Q16—32no—
147C3×C22⋊Q8—21no—
148C3×C22⋊Q8—31no—
149C3×C22⋊Q8—31no—
150C3×C22⋊Q8—31no—
151C3×C22⋊Q8—61no—
152C3×C22⋊Q8—61no—
153C3×C22⋊Q8C2×D311yescharacteristic
154C3×C22⋊Q8C2×D311yescharacteristic
155C2×C3×C4⋊C4—31no—
156C2×C3×C4⋊C4—61no—
157C2×C3×C22⋊C4—61no—
158#946C2×D311yescharacteristic
159C2×#216—32no—
160C2×#216—32no—
161C2×#216—32no—
162C2×#216—32no—
163C2×#216—32no—
164C2×#216—62no—
165C2×#216—68no—
166C2×#216C2×D312yescomplemented
167#924C2×D311yescharacteristic
168C22×C3⋊C8—32no—
169D3×Q16—68no—
170C2×Dic12—32no—
171C2×D3×C8—32no—
172#897C2×D311yescharacteristic
173#896—21no—
174D3×C4⋊C4—21no—
175D3×C4⋊C4C2×D311yescharacteristic
176D3×C22⋊C4—21no—
177#878—21no—
178C3×#103—32no—
179C3×C22⋊C8—31no—
180#835—32no—
181#830—31no—
182#830—31no—
183#830—32no—
184#830—61no—
185#830C2×D311yescharacteristic
186(C2×D3)⋊C8—32no—
187#816—32no—
188#810—32no—
189#810—32no—
190#810—32no—
191#810—32no—
192#810—62no—
193#810C2×D312yescomplemented
194C23×C32C2×D411yescharacteristic
195C22×C3×D3—22no—
196C22×C3×D3—22no—
197C22×C3×D3Q1614yescomplemented
198C22×C3×D3C2×D411yescharacteristic
199C22×C3×D3C2×D411yescharacteristic
200C32×Q8—22no—
201C2×C32×C4—22no—
202C2×C32×C4—21no—
203C2×C32×C4—21no—
204C2×C32×C4C2×D411yescharacteristic
205C2×C32×C4C2411yescharacteristic
206C2×C3⋊Dic3—24no—
207C2×C3⋊Dic3—22no—
208#634—24no—
209#634—22no—
210#634C2×D414yes—
211C2×C3×Dic3—24no—
212C2×C3×Dic3—22no—
213C2×C3×Dic3—22no—
214C2×C3×Dic3—21no—
215C2×C3×Dic3—21no—
216C2×C3×Dic3C2×D411yescharacteristic
217C2×C3×Dic3C2×D411yescharacteristic
218C3×C4×D3—22no—
219C3×C4×D3—22no—
220C3×C4×D3—22no—
221C3×C4×D3—42no—
222C3×C4×D3—42no—
223C3×C4×D3C2×D414yes—
224C3×Dic6—24no—
225C3×Dic6—22no—
226C3×Dic6—22no—
227C3×Dic6—42no—
228C3×Dic6C2×D414yes—
229#627—28no—
230#627—28no—
231D3×Dic3—28no—
232D3×Dic3—28no—
233C3⋊(C3⋊C8)—22no—
234C3×C3⋊C8—22no—
235C23×Q8—91no—
236C22×Q16—92no—
237C2×C22⋊Q8—31no—
238#451—31no—
239#451—91no—
240#451—92no—
241#451—92no—
242#451—91no—
243#451—91no—
244C2×#103—92no—
245C2×C22⋊C8—91no—
246C24×C3—31no—
247C23×D3#6711yescharacteristic
248C2×C3×Q8—21no—
249C2×C3×Q8—32no—
250C2×C3×Q8—31no—
251C2×C3×Q8—61no—
252C2×C3×Q8—64no—
253C2×C3×Q8—64no—
254C2×C3×Q8—61no—
255C2×C3×Q8C22×D311yescharacteristic
256C2×C3×Q8C22×D311yescharacteristic
257C22×C3×C4—21no—
258C22×C3×C4—31no—
259C22×C3×C4—31no—
260C22×C3×C4—31no—
261C22×C3×C4—31no—
262C22×C3×C4—31no—
263C22×C3×C4—64no—
264C22×C3×C4—61no—
265C22×C3×C4—61no—
266C22×C3×C4—61no—
267C22×C3×C4C22×D311yescharacteristic
268C22×C3×C4C22×D311yescharacteristic
269C22×Dic3—21no—
270C22×Dic3—62no—
271C22×Dic3—62no—
272C22×Dic3—68no—
273C22×Dic3—61no—
274C22×Dic3—61no—
275C22×Dic3—121no—
276C22×Dic3#6711yescharacteristic
277D3×Q8—24no—
278D3×Q8—38no—
279D3×Q8—64no—
280D3×Q8—64no—
281D3×Q8—68no—
282D3×Q8—68no—
283D3×Q8—64no—
284C2×C4×D3—24no—
285C2×C4×D3—21no—
286C2×C4×D3—21no—
287C2×C4×D3—68no—
288C2×C4×D3—62no—
289C2×C4×D3—62no—
290C2×C4×D3#6711yescharacteristic
291C2×C4×D3#6711yescharacteristic
292C2×C4×D3C22×D311yescharacteristic
293C2×C4×D3C22×D311yescharacteristic
294C2×Dic6—21no—
295C2×Dic6—24no—
296C2×Dic6—21no—
297C2×Dic6—32no—
298C2×Dic6—32no—
299C2×Dic6—38no—
300C2×Dic6—62no—
301C2×Dic6—64no—
302C2×Dic6—64no—
303C2×Dic6—68no—
304C2×Dic6—68no—
305C2×Dic6—64no—
306C2×Dic6—64no—
307C2×Dic6—62no—
308C2×Dic6—62no—
309C2×Dic6—68no—
310C2×Dic6—68no—
311C2×Dic6—61no—
312C2×Dic6—61no—
313C2×Dic6—62no—
314C2×Dic6—62no—
315C2×Dic6—64no—
316C2×Dic6—124no—
317C2×Dic6—121no—
318C2×Dic6C22×D311yescharacteristic
319C2×Dic6C22×D312yes—
320C3×Q16—64no—
321C2×C3×C8—32no—
322C3×C4⋊C4—21no—
323C3×C4⋊C4—21no—
324C3×C4⋊C4—21no—
325C3×C4⋊C4—31no—
326C3×C4⋊C4—41no—
327C3×C4⋊C4—61no—
328C3×C4⋊C4—61no—
329C3×C4⋊C4—61no—
330C3×C4⋊C4—61no—
331C3×C4⋊C4C22×D311yescharacteristic
332C3×C4⋊C4C22×D311yescharacteristic
333C3×C22⋊C4—21no—
334C3×C22⋊C4—21no—
335C3×C22⋊C4—41no—
336C3×C22⋊C4—61no—
337C3×C22⋊C4—61no—
338C3×C22⋊C4—61no—
339#217—21no—
340#216—24no—
341#216—64no—
342#216—64no—
343#216—64no—
344#216—64no—
345#216—64no—
346#216—124no—
347(C2×D3)⋊C4—21no—
348(C2×D3)⋊C4—21no—
349C4⋊Dic3—21no—
350C4⋊Dic3C22×D311yescharacteristic
351Dic3⋊C4—21no—
352Dic3⋊C4—21no—
353Dic3⋊C4—21no—
354C2×C3⋊C8—32no—
355C2×C3⋊C8—32no—
356C2×C3⋊C8—62no—
357C2×C3⋊C8—64no—
358C2×C3⋊C8C22×D312yes—
359Dic12—64no—
360D3×C8—64no—
361C22×C32—21no—
362C22×C32—21no—
363C22×C32C2×Q1612yescomplemented
364C22×C32C22×D411yescharacteristic
365C2×C3×D3—21no—
366C2×C3×D3—21no—
367C2×C3×D3—28no—
368C2×C3×D3#12012yes—
369C2×C3×D3C2×Q1612yes—
370C2×C3×D3C2×Q1612yescomplemented
371C2×C3×D3#13712yes—
372C32×C4—21no—
373C32×C4—41no—
374C32×C4—41no—
375C32×C4C22×D412yes—
376C3⋊Dic3—24no—
377C3×Dic3—24no—
378C3×Dic3—21no—
379C3×Dic3—41no—
380C3×Dic3—41no—
381C3×Dic3#12012yes—
382C22×Q8—31no—
383C22×Q8—31no—
384C22×Q8—92no—
385C22×Q8—92no—
386C22×Q8—91no—
387C22×Q8—181no—
388C22×Q8—181no—
389C22×Q8—181no—
390C22×Q8—188no—
391C23×C4—31no—
392C23×C4—181no—
393C2×Q16—32no—
394C2×Q16—92no—
395C2×Q16—92no—
396C2×Q16—92no—
397C2×Q16—188no—
398C22×C8—92no—
399C22⋊Q8—31no—
400C22⋊Q8—31no—
401C22⋊Q8—31no—
402C22⋊Q8—61no—
403C22⋊Q8—61no—
404C22⋊Q8D3211yescharacteristic
405C2×C4⋊C4—31no—
406C2×C4⋊C4—61no—
407C2×C22⋊C4—61no—
408#103—32no—
409#103—92no—
410#103—92no—
411#103—92no—
412C22⋊C8—31no—
413C22⋊C8—92no—
414C22⋊C8—91no—
415C23×C3—21no—
416C23×C3—31no—
417C23×C3—34no—
418C23×C3—31no—
419C23×C3—62no—
420C23×C3—62no—
421C23×C3D3×D411yescharacteristic
422C23×C3C2×#6711yescharacteristic
423C22×D3—22no—
424C22×D3—22no—
425C22×D3#21614yescomplemented
426C22×D3C2×#6711yescharacteristic
427C22×D3C2×#6711yescharacteristic
428C3×Q8—22no—
429C3×Q8—22no—
430C3×Q8—34no—
431C3×Q8—42no—
432C3×Q8—64no—
433C3×Q8—62no—
434C3×Q8—62no—
435C3×Q8—122no—
436C2×C3×C4—22no—
437C2×C3×C4—22no—
438C2×C3×C4—21no—
439C2×C3×C4—21no—
440C2×C3×C4—21no—
441C2×C3×C4—21no—
442C2×C3×C4—21no—
443C2×C3×C4—21no—
444C2×C3×C4—31no—
445C2×C3×C4—34no—
446C2×C3×C4—31no—
447C2×C3×C4—42no—
448C2×C3×C4—41no—
449C2×C3×C4—41no—
450C2×C3×C4—62no—
451C2×C3×C4—62no—
452C2×C3×C4—62no—
453C2×C3×C4—64no—
454C2×C3×C4—62no—
455C2×C3×C4—62no—
456C2×C3×C4—61no—
457C2×C3×C4—61no—
458C2×C3×C4—122no—
459C2×C3×C4—122no—
460C2×C3×C4D3×D411yescharacteristic
461C2×C3×C4C2×#6711yescharacteristic
462C2×C3×C4C23×D311yescharacteristic
463C2×C3×C4C23×D311yescharacteristic
464C2×Dic3—24no—
465C2×Dic3—22no—
466C2×Dic3—22no—
467C2×Dic3—21no—
468C2×Dic3—21no—
469C2×Dic3—68no—
470C2×Dic3—68no—
471C2×Dic3—64no—
472C2×Dic3—64no—
473C2×Dic3—62no—
474C2×Dic3—62no—
475C2×Dic3—122no—
476C2×Dic3—124no—
477C2×Dic3C2×#6711yescharacteristic
478C2×Dic3C2×#6711yescharacteristic
479C4×D3—22no—
480C4×D3—22no—
481C4×D3—22no—
482C4×D3—42no—
483C4×D3—42no—
484C4×D3—68no—
485C4×D3—68no—
486C4×D3D3×D414yes—
487Dic6—24no—
488Dic6—22no—
489Dic6—22no—
490Dic6—34no—
491Dic6—34no—
492Dic6—42no—
493Dic6—64no—
494Dic6—68no—
495Dic6—68no—
496Dic6—68no—
497Dic6—64no—
498Dic6—64no—
499Dic6—62no—
500Dic6—62no—
501Dic6—68no—
502Dic6—122no—
503Dic6—124no—
504Dic6D3×D414yes—
505C3×C8—62no—
506C3⋊C8—22no—
507C3⋊C8—62no—
508C3⋊C8—62no—
509C3⋊C8—122no—
510C2×C32—22no—
511C2×C32C2×#12011yescharacteristic
512C2×C32C22×Q1611yescharacteristic
513C2×C32C2×#13711yescharacteristic
514C3×D3—22no—
515C3×D3#45114yescomplemented
516C24—31no—
517C2×Q8—32no—
518C2×Q8—31no—
519C2×Q8—61no—
520C2×Q8—64no—
521C2×Q8—64no—
522C2×Q8—61no—
523C2×Q8—98no—
524C2×Q8—92no—
525C2×Q8—184no—
526C2×Q8—182no—
527C2×Q8—182no—
528C2×Q8—184no—
529C2×Q8—188no—
530C2×Q8—184no—
531C2×Q8—184no—
532C2×Q8—188no—
533C2×Q8—188no—
534C2×Q8—181no—
535C2×Q8C2×D3211yescharacteristic
536C22×C4—31no—
537C22×C4—31no—
538C22×C4—31no—
539C22×C4—31no—
540C22×C4—31no—
541C22×C4—64no—
542C22×C4—61no—
543C22×C4—61no—
544C22×C4—61no—
545C22×C4—182no—
546C22×C4—182no—
547C22×C4—188no—
548C22×C4—181no—
549C22×C4C2×D3211yescharacteristic
550Q16—64no—
551Q16—184no—
552Q16—184no—
553Q16—184no—
554C2×C8—32no—
555C2×C8—92no—
556C2×C8—184no—
557C4⋊C4—21no—
558C4⋊C4—31no—
559C4⋊C4—61no—
560C4⋊C4—61no—
561C4⋊C4—61no—
562C4⋊C4—61no—
563C4⋊C4C2×D3211yescharacteristic
564C22⋊C4—21no—
565C22⋊C4—61no—
566C22⋊C4—61no—
567C22⋊C4—61no—
568C22×C3—21no—
569C22×C3—21no—
570C22×C3—21no—
571C22×C3—21no—
572C22×C3—21no—
573C22×C3—22no—
574C22×C3—32no—
575C22×C3—32no—
576C22×C3—32no—
577C22×C3—32no—
578C22×C3—41no—
579C22×C3—41no—
580C22×C3—68no—
581C22×C3—61no—
582C22×C3—61no—
583C22×C3D3×Q1612yescomplemented
584C22×C3C2×#21612yescomplemented
585C22×C3C2×D3×D411yescharacteristic
586C22×C3C22×#6711yescharacteristic
587C2×D3—21no—
588C2×D3—21no—
589C2×D3—28no—
590C2×D3#93712yes—
591C2×D3C2×#21612yes—
592C2×D3C2×#21612yescomplemented
593C2×D3#95112yes—
594C3×C4—21no—
595C3×C4—21no—
596C3×C4—22no—
597C3×C4—32no—
598C3×C4—41no—
599C3×C4—41no—
600C3×C4—41no—
601C3×C4—41no—
602C3×C4—41no—
603C3×C4—64no—
604C3×C4—61no—
605C3×C4—81no—
606C3×C4—81no—
607C3×C4—121no—
608C3×C4—121no—
609C3×C4C2×D3×D412yes—
610C3×C4C2×D3×D412yes—
611Dic3—21no—
612Dic3—24no—
613Dic3—41no—
614Dic3—41no—
615Dic3—64no—
616Dic3—64no—
617Dic3—124no—
618Dic3#93712yes—
619C32C2×#45111yescharacteristic, complemented, Sylow
620C23—31no—
621C23—31no—
622C23—34no—
623C23—62no—
624C23—62no—
625C23D3×#6711yescharacteristic
626Q8—22no—
627Q8—34no—
628Q8—64no—
629Q8—62no—
630Q8—62no—
631Q8—94no—
632Q8—122no—
633Q8—184no—
634Q8—188no—
635Q8—188no—
636Q8—182no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—31no—
641C2×C4—34no—
642C2×C4—31no—
643C2×C4—62no—
644C2×C4—62no—
645C2×C4—62no—
646C2×C4—64no—
647C2×C4—62no—
648C2×C4—62no—
649C2×C4—61no—
650C2×C4—61no—
651C2×C4—122no—
652C2×C4—122no—
653C2×C4—188no—
654C2×C4—188no—
655C2×C4—184no—
656C2×C4—182no—
657C2×C4D3×#6711yescharacteristic
658C2×C4C22×D3211yescharacteristic
659C8—62no—
660C8—182no—
661C2×C3—22no—
662C2×C3—22no—
663C2×C3—21no—
664C2×C3—21no—
665C2×C3—21no—
666C2×C3—34no—
667C2×C3—42no—
668C2×C3—62no—
669C2×C3D3×#12011yescharacteristic
670C2×C3C2×D3×Q1611yescharacteristic
671C2×C3D3×#13711yescharacteristic
672C2×C3C2×#93711yescharacteristic
673C2×C3C22×#21611yescharacteristic
674C2×C3C2×#95111yescharacteristic
675D3—22no—
676D3#505014yesdirect product factor
677C22—21no—
678C22—21no—
679C22—32no—
680C22—32no—
681C22—32no—
682C22—32no—
683C22—68no—
684C22—61no—
685C22—61no—
686C22D3×#21612yescomplemented
687C22C2×D3×#6711yescharacteristic
688C4—21no—
689C4—32no—
690C4—41no—
691C4—41no—
692C4—61no—
693C4—64no—
694C4—121no—
695C4—121no—
696C4—184no—
697C4D32×D412yes—
698C3—21no—
699C3D3×#45111yescharacteristic, complemented
700C3C2×#505011yescharacteristic, complemented
701C2—22no—
702C2—34no—
703C2—62no—
704C2D3×#93711yescharacteristic
705C2C2×D3×#21611yescharacteristic
706C2D3×#95111yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C22⋊Q8C22
socleC22×C32C22×D4
prime radicalC23×C3×D3D4
hypercenterC22⋊Q8D32
hypocenterC32C2×#451
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22⋊Q8

Complements

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

NH ≅ G/Ntype
3. C2×D3×#216C2semidirect
4. #10592749C2semidirect
5. C3×#5050C2semidirect
6. #10591653C2semidirect
7. #10591190C2semidirect
8. #10591185C2semidirect
10. #10590604C2semidirect
11. D3×#810C2semidirect
26. C2×#3756C22semidirect
28. C2×C3×#216C22semidirect
37. C2×#3719C22semidirect
38. C2×#3718C22semidirect
41. #63637C22semidirect
43. C3×#810C22semidirect
44. #63567C22semidirect
45. #63565C22semidirect
64. #5050D3direct (N × H)
166. C2×#216C2×D3semidirect
193. #810C2×D3semidirect
197. C22×C3×D3Q16semidirect
363. C22×C32C2×Q16semidirect
370. C2×C3×D3C2×Q16semidirect
425. C22×D3#216semidirect
515. C3×D3#451semidirect
583. C22×C3D3×Q16semidirect
584. C22×C3C2×#216semidirect
592. C2×D3C2×#216semidirect
619. C32C2×#451semidirect
676. D3#5050direct (N × H)
686. C22D3×#216semidirect
699. C3D3×#451semidirect
700. C3C2×#5050semidirect

Maximal subgroups

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

subgroupindex
C22×D3×Dic62
C3×D3×C22⋊Q82
C2×D3×#2162
#105927492
C3×#50502
#105916532
#105911902
#105911852
D3×#8302
#105906042
D3×#8102
C2×#50503
D3×#4513