Finite Group Databasebeta

← #11808301

Subgroups — #11808301

Order 1152.

1977 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×C22⋊C4×C3⋊D3C211yesmaximal, characteristic
2C2×#63974C211yesmaximal, characteristic
3C2×#63974C211yesmaximal, characteristic
4C2×#63883C211yesmaximal, characteristic, complemented
5C3×#4952C212yesmaximal, complemented
6#10591717C212yesmaximal, complemented
7#10591370C211yesmaximal, characteristic, complemented
8#10591370C211yesmaximal, characteristic, complemented
9#10591370C211yesmaximal, characteristic, complemented
10#10591208C212yesmaximal, complemented
11#10591204C212yesmaximal, complemented
12D3×#397—32nomaximal
13C24×C3⋊D3C2211yescharacteristic
14C22×C4×C3⋊D3C2211yescharacteristic
15C22×C4×C3⋊D3C2211yescharacteristic
16C22×#624C2211yescharacteristic
17C22×#624C2211yescharacteristic
18C22×#624C2211yescharacteristic
19C22×#624C2211yescharacteristic
20C2×C32×C22⋊C4C2211yescharacteristic
21C2×#3757C2211yescharacteristic
22C2×#3752C2211yescharacteristic
23C2×#3752C2211yescharacteristic
24C22⋊C4×C3⋊D3—24no—
25C2×C3×#217C2212yes—
26C2×C3×#217C2212yes—
27C2×C3×Dic3⋊C4C2212yescomplemented
28#63974—24no—
29#63974—24no—
30C2×Dic3⋊Dic3C2212yescomplemented
31C2×#3722C2212yes—
32C2×#3722C2212yes—
33#63883—24no—
34C3×C3⋊#95C2212yescomplemented
35C3×C3⋊#95C2212yescomplemented
36C3×C3⋊#95C2212yescomplemented
37#63579C2212yescomplemented
38#63579C2212yescomplemented
39#63579C2212yescomplemented
40C2×D3×C4⋊C4—32no—
41C2×D3×C22⋊C4—32no—
42C2×D3×C22⋊C4—32no—
43C2×D3×C22⋊C4—32no—
44C2×D3×C22⋊C4—61no—
45C3×#397—32no—
46#4992—32no—
47#4953—32no—
48#4952—32no—
49#4952D312yescomplemented
50#4675—32no—
51#4675—32no—
52#4674—32no—
53D3×#95—32no—
54D3×#95—32no—
55D3×#95—32no—
56C24×C32C2311yescharacteristic
57C23×C3⋊D3—22no—
58C23×C3⋊D3—22no—
59C23×C3⋊D3—22no—
60C23×C3⋊D3—22no—
61C23×C3⋊D3—22no—
62C23×C3⋊D3—22no—
63C23×C3⋊D3D414yes—
64C23×C3⋊D3C2311yescharacteristic
65C23×C3⋊D3C2311yescharacteristic
66C22×C32×C4C2311yescharacteristic
67C22×C32×C4C2311yescharacteristic
68C22×C3⋊Dic3C2311yescharacteristic
69C22×C3⋊Dic3C2311yescharacteristic
70C2×C4×C3⋊D3—22no—
71C2×C4×C3⋊D3—22no—
72C2×C4×C3⋊D3—22no—
73C2×C4×C3⋊D3—22no—
74C2×C4×C3⋊D3—22no—
75C2×C4×C3⋊D3—22no—
76C22×C3×Dic3C2312yes—
77C22×C3×Dic3C2312yes—
78C22×C3×Dic3C2312yes—
79C22×C3×Dic3C2312yes—
80C2×#624—22no—
81C2×#624—22no—
82C2×#624—22no—
83C2×#624—22no—
84C2×#624—22no—
85C2×#624—22no—
86C2×#624—22no—
87C2×#624—22no—
88C2×#624—22no—
89C2×#624—22no—
90C2×#624—22no—
91C2×#624D414yes—
92C32×C22⋊C4—22no—
93#3757—22no—
94#3752—22no—
95#3752—22no—
96C3×#217—24no—
97C3×#217—24no—
98C3×Dic3⋊C4—24no—
99Dic3⋊Dic3—24no—
100#3722—24no—
101#3722—24no—
102C2×#397—91noSylow
103C24×D3—32no—
104C24×D3—61no—
105C22×C4×D3—32no—
106C22×C4×D3—32no—
107C22×C4×D3—32no—
108C22×C4×D3—32no—
109C22×C4×D3—32no—
110C22×C4×D3—32no—
111C22×C4×D3—61no—
112C22×C4×D3—61no—
113C2×C3×C4⋊C4—32no—
114C2×C3×C22⋊C4—21no—
115C2×C3×C22⋊C4—32no—
116C2×C3×C22⋊C4—32no—
117C2×C3×C22⋊C4C2×D312yes—
118C2×#217—32no—
119C2×#217—61no—
120C2×#217C2×D312yes—
121C2×#217C2×D312yes—
122C2×(C2×D3)⋊C4—32no—
123C2×(C2×D3)⋊C4—32no—
124C2×(C2×D3)⋊C4—32no—
125C2×(C2×D3)⋊C4—32no—
126C2×(C2×D3)⋊C4—32no—
127C2×(C2×D3)⋊C4—32no—
128C2×(C2×D3)⋊C4—61no—
129C2×(C2×D3)⋊C4—61no—
130C2×C4⋊Dic3—32no—
131C2×Dic3⋊C4—32no—
132C2×Dic3⋊C4C2×D312yescomplemented
133D3×C4⋊C4—68no—
134D3×C22⋊C4—68no—
135D3×C22⋊C4—68no—
136D3×C22⋊C4—68no—
137D3×C22⋊C4—68no—
138C3×#95—32no—
139C3×#95—32no—
140C3×#95—32no—
141C3⋊#95—32no—
142C3⋊#95—32no—
143C3⋊#95—32no—
144C3⋊#95—32no—
145C3⋊#95—32no—
146C3⋊#95—32no—
147C3⋊#95C2×D312yescomplemented
148C3⋊#95C2×D312yescomplemented
149C3⋊#95C2×D312yescomplemented
150C23×C32—21no—
151C23×C32—21no—
152C23×C32—21no—
153C23×C32—21no—
154C23×C32—21no—
155C23×C32—21no—
156C23×C32C2×D412yes—
157C23×C32C2411yescharacteristic
158C22×C3⋊D3—21no—
159C22×C3⋊D3—21no—
160C22×C3⋊D3—28no—
161C22×C3⋊D3—21no—
162C22×C3⋊D3—21no—
163C22×C3⋊D3—21no—
164C22×C3⋊D3—21no—
165C22×C3⋊D3—28no—
166C22×C3⋊D3—28no—
167C22×C3⋊D3—44no—
168C22×C3⋊D3—44no—
169C22×C3⋊D3—44no—
170C22×C3⋊D3—44no—
171C22×C3⋊D3C2×D412yes—
172C22×C3⋊D3C2×D412yes—
173C22×C3⋊D3C2×D412yes—
174C22×C3⋊D3#4112yes—
175C22×C3⋊D3#4112yes—
176C22×C3⋊D3#4112yes—
177C22×C3⋊D3#4112yes—
178C22×C3⋊D3#4112yes—
179C2×C32×C4—21no—
180C2×C32×C4—21no—
181C2×C32×C4—21no—
182C2×C32×C4—21no—
183C2×C32×C4—21no—
184C2×C32×C4—21no—
185C2×C3⋊Dic3—21no—
186C2×C3⋊Dic3—21no—
187C2×C3⋊Dic3—21no—
188C2×C3⋊Dic3—21no—
189C2×C3⋊Dic3—21no—
190C2×C3⋊Dic3—21no—
191C4×C3⋊D3—44no—
192C4×C3⋊D3—44no—
193C2×C3×Dic3—22no—
194C2×C3×Dic3—22no—
195C2×C3×Dic3—22no—
196C2×C3×Dic3—22no—
197C2×C3×Dic3—22no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3—22no—
201C2×C3×Dic3—22no—
202C2×C3×Dic3—22no—
203C2×C3×Dic3—22no—
204C2×C3×Dic3C2×D414yes—
205#624—28no—
206#624—44no—
207#624—44no—
208#624—44no—
209C22×C4⋊C4—91no—
210C22×C22⋊C4—91no—
211C22×C22⋊C4—91no—
212C22×C22⋊C4—91no—
213#397—32no—
214#397—92no—
215#397—92no—
216#397—92no—
217C2×#95—91no—
218C2×#95—91no—
219C2×#95—91no—
220C24×C3—21no—
221C24×C3C22×D312yes—
222C23×D3—32no—
223C23×D3—38no—
224C23×D3—32no—
225C23×D3—61no—
226C23×D3—64no—
227C23×D3—61no—
228C23×D3—64no—
229C23×D3—64no—
230C23×D3—64no—
231C23×D3—64no—
232C23×D3—64no—
233C23×D3—64no—
234C23×D3—64no—
235C23×D3—64no—
236C23×D3—122no—
237C23×D3—122no—
238C23×D3—122no—
239C23×D3—122no—
240C22×C3×C4—21no—
241C22×C3×C4—21no—
242C22×C3×C4—32no—
243C22×C3×C4—32no—
244C22×C3×C4—32no—
245C22×C3×C4—32no—
246C22×C3×C4C22×D312yes—
247C22×C3×C4C22×D312yes—
248C22×Dic3—32no—
249C22×Dic3—32no—
250C22×Dic3—61no—
251C22×Dic3—61no—
252C22×Dic3C22×D312yes—
253C22×Dic3C22×D312yes—
254C22×Dic3C22×D312yes—
255C22×Dic3C22×D312yes—
256C2×C4×D3—38no—
257C2×C4×D3—64no—
258C2×C4×D3—64no—
259C2×C4×D3—64no—
260C2×C4×D3—64no—
261C2×C4×D3—64no—
262C2×C4×D3—64no—
263C2×C4×D3—64no—
264C2×C4×D3—64no—
265C2×C4×D3—64no—
266C2×C4×D3—64no—
267C2×C4×D3—64no—
268C2×C4×D3—64no—
269C2×C4×D3—64no—
270C2×C4×D3—64no—
271C2×C4×D3—64no—
272C2×C4×D3—64no—
273C2×C4×D3—64no—
274C2×C4×D3—64no—
275C2×C4×D3—64no—
276C2×C4×D3—122no—
277C2×C4×D3—122no—
278C2×C4×D3—122no—
279C2×C4×D3—122no—
280C3×C4⋊C4—64no—
281C3×C22⋊C4—24no—
282C3×C22⋊C4—24no—
283C3×C22⋊C4—64no—
284C3×C22⋊C4—64no—
285#217—24no—
286#217—24no—
287#217—64no—
288#217—64no—
289(C2×D3)⋊C4—64no—
290(C2×D3)⋊C4—64no—
291(C2×D3)⋊C4—64no—
292(C2×D3)⋊C4—64no—
293(C2×D3)⋊C4—64no—
294(C2×D3)⋊C4—64no—
295(C2×D3)⋊C4—64no—
296(C2×D3)⋊C4—64no—
297C4⋊Dic3—64no—
298Dic3⋊C4—24no—
299Dic3⋊C4—64no—
300C22×C32—22no—
301C22×C32—22no—
302C22×C32—22no—
303C22×C32—41no—
304C22×C32—41no—
305C22×C32—41no—
306C22×C32—41no—
307C22×C32C22×D411yescharacteristic
308C22×C32C22×D411yescharacteristic
309C22×C32C2×#4111yescharacteristic
310C22×C32C2×#4111yescharacteristic
311C22×C32C2×#4111yescharacteristic
312C22×C32C2×#4111yescharacteristic
313C22×C32C2×#4111yescharacteristic
314C2×C3⋊D3—22no—
315C2×C3⋊D3—22no—
316C2×C3⋊D3—22no—
317C2×C3⋊D3—41no—
318C2×C3⋊D3—41no—
319C2×C3⋊D3—41no—
320C2×C3⋊D3—41no—
321C2×C3⋊D3—416no—
322C2×C3⋊D3#12114yes—
323C2×C3⋊D3#12314yes—
324C2×C3⋊D3#12314yes—
325C2×C3⋊D3#12314yes—
326C2×C3⋊D3#12414yes—
327C2×C3⋊D3#12614yes—
328C2×C3⋊D3#12614yes—
329C32×C4—41no—
330C32×C4—41no—
331C3⋊Dic3—41no—
332C3⋊Dic3—41no—
333C3×Dic3—24no—
334C3×Dic3—42no—
335C3×Dic3—42no—
336C3×Dic3—42no—
337C25—91no—
338C23×C4—91no—
339C23×C4—91no—
340C23×C4—91no—
341C23×C4—91no—
342C23×C4—91no—
343C23×C4—91no—
344C2×C4⋊C4—32no—
345C2×C4⋊C4—92no—
346C2×C4⋊C4—184no—
347C2×C22⋊C4—32no—
348C2×C22⋊C4—32no—
349C2×C22⋊C4—92no—
350C2×C22⋊C4—92no—
351C2×C22⋊C4—91no—
352C2×C22⋊C4—91no—
353C2×C22⋊C4—91no—
354C2×C22⋊C4—184no—
355C2×C22⋊C4—184no—
356C2×C22⋊C4—184no—
357C2×C22⋊C4D3211yescharacteristic
358#95—32no—
359#95—32no—
360#95—32no—
361#95—92no—
362#95—92no—
363#95—92no—
364C23×C3—22no—
365C23×C3—22no—
366C23×C3—22no—
367C23×C3—22no—
368C23×C3—22no—
369C23×C3—22no—
370C23×C3—22no—
371C23×C3—22no—
372C23×C3—21no—
373C23×C3—22no—
374C23×C3—41no—
375C23×C3—41no—
376C23×C3—41no—
377C23×C3—41no—
378C23×C3D3×D414yes—
379C23×C3C23×D312yes—
380C22×D3—34no—
381C22×D3—34no—
382C22×D3—34no—
383C22×D3—34no—
384C22×D3—34no—
385C22×D3—34no—
386C22×D3—34no—
387C22×D3—34no—
388C22×D3—62no—
389C22×D3—62no—
390C22×D3—62no—
391C22×D3—62no—
392C22×D3—62no—
393C22×D3—62no—
394C22×D3—62no—
395C22×D3—62no—
396C22×D3—616no—
397C22×D3—616no—
398C22×D3—616no—
399C22×D3—616no—
400C22×D3—62no—
401C22×D3—62no—
402C22×D3—62no—
403C22×D3—62no—
404C22×D3—62no—
405C22×D3—62no—
406C22×D3—62no—
407C22×D3—62no—
408C22×D3—128no—
409C22×D3—128no—
410C22×D3—121no—
411C22×D3—121no—
412C22×D3—121no—
413C22×D3—121no—
414C22×D3—128no—
415C22×D3—128no—
416C22×D3—128no—
417C22×D3—128no—
418C22×D3—128no—
419C22×D3—128no—
420C22×D3—128no—
421C22×D3—128no—
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—22no—
425C2×C3×C4—22no—
426C2×C3×C4—22no—
427C2×C3×C4—22no—
428C2×C3×C4—22no—
429C2×C3×C4—22no—
430C2×C3×C4—34no—
431C2×C3×C4—41no—
432C2×C3×C4—41no—
433C2×C3×C4—41no—
434C2×C3×C4—41no—
435C2×C3×C4—62no—
436C2×C3×C4—62no—
437C2×C3×C4—62no—
438C2×C3×C4—62no—
439C2×C3×C4—62no—
440C2×C3×C4—62no—
441C2×C3×C4—62no—
442C2×C3×C4—62no—
443C2×C3×C4—62no—
444C2×C3×C4—62no—
445C2×C3×C4—62no—
446C2×Dic3—22no—
447C2×Dic3—22no—
448C2×Dic3—22no—
449C2×Dic3—22no—
450C2×Dic3—22no—
451C2×Dic3—22no—
452C2×Dic3—22no—
453C2×Dic3—22no—
454C2×Dic3—22no—
455C2×Dic3—22no—
456C2×Dic3—22no—
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—121no—
466C2×Dic3—121no—
467C2×Dic3—121no—
468C2×Dic3—121no—
469C2×Dic3D3×D414yes—
470C4×D3—616no—
471C4×D3—128no—
472C4×D3—128no—
473C4×D3—128no—
474C4×D3—128no—
475C4×D3—128no—
476C4×D3—128no—
477C4×D3—128no—
478C2×C32—42no—
479C2×C32C2×#12111yescharacteristic
480C2×C32C2×#12311yescharacteristic
481C2×C32C2×#12311yescharacteristic
482C2×C32C2×#12311yescharacteristic
483C2×C32C2×#12411yescharacteristic
484C2×C32C2×#12611yescharacteristic
485C2×C32C2×#12611yescharacteristic
486C3⋊D3—42no—
487C3⋊D3#39718yescomplemented
488C24—91no—
489C24—91no—
490C24—94no—
491C24—182no—
492C24—182no—
493C24—182no—
494C24—182no—
495C24—182no—
496C24—182no—
497C24C2×D3211yescharacteristic
498C22×C4—32no—
499C22×C4—32no—
500C22×C4—32no—
501C22×C4—32no—
502C22×C4—94no—
503C22×C4—91no—
504C22×C4—91no—
505C22×C4—182no—
506C22×C4—182no—
507C22×C4—182no—
508C22×C4—182no—
509C22×C4—182no—
510C22×C4—182no—
511C22×C4—182no—
512C22×C4—182no—
513C22×C4—182no—
514C22×C4—182no—
515C22×C4—182no—
516C22×C4—182no—
517C22×C4—182no—
518C22×C4—182no—
519C22×C4—182no—
520C22×C4—182no—
521C22×C4—182no—
522C22×C4C2×D3211yescharacteristic
523C22×C4C2×D3211yescharacteristic
524C4⋊C4—64no—
525C4⋊C4—184no—
526C22⋊C4—22no—
527C22⋊C4—64no—
528C22⋊C4—64no—
529C22⋊C4—182no—
530C22⋊C4—182no—
531C22⋊C4—184no—
532C22⋊C4—184no—
533C22⋊C4—182no—
534C22×C3—24no—
535C22×C3—24no—
536C22×C3—24no—
537C22×C3—24no—
538C22×C3—21no—
539C22×C3—21no—
540C22×C3—21no—
541C22×C3—21no—
542C22×C3—21no—
543C22×C3—21no—
544C22×C3—21no—
545C22×C3—42no—
546C22×C3—42no—
547C22×C3—42no—
548C22×C3—42no—
549C22×C3—42no—
550C22×C3—42no—
551C22×C3—42no—
552C22×C3—42no—
553C22×C3—42no—
554C22×C3—42no—
555C22×C3C2×D3×D412yes—
556C22×C3C2×D3×D412yes—
557C22×C3D3×#4112yes—
558C22×C3D3×#4112yes—
559C22×C3D3×#4112yes—
560C22×C3D3×#4112yes—
561C22×C3D3×#4112yes—
562C2×D3—38no—
563C2×D3—38no—
564C2×D3—38no—
565C2×D3—38no—
566C2×D3—38no—
567C2×D3—38no—
568C2×D3—38no—
569C2×D3—64no—
570C2×D3—64no—
571C2×D3—64no—
572C2×D3—64no—
573C2×D3—64no—
574C2×D3—64no—
575C2×D3—64no—
576C2×D3—64no—
577C2×D3—64no—
578C2×D3—64no—
579C2×D3—64no—
580C2×D3—122no—
581C2×D3—122no—
582C2×D3—1232no—
583C2×D3—1232no—
584C2×D3—122no—
585C2×D3—122no—
586C2×D3—122no—
587C2×D3—122no—
588C2×D3—122no—
589C2×D3—122no—
590C2×D3—122no—
591C2×D3—122no—
592C3×C4—42no—
593C3×C4—42no—
594C3×C4—42no—
595C3×C4—42no—
596C3×C4—64no—
597C3×C4—122no—
598C3×C4—122no—
599C3×C4—122no—
600Dic3—24no—
601Dic3—42no—
602Dic3—42no—
603Dic3—42no—
604Dic3—122no—
605Dic3—122no—
606Dic3—122no—
607Dic3—122no—
608C32C2×#39711yescharacteristic, complemented, Sylow
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—92no—
616C23—92no—
617C23—92no—
618C23—92no—
619C23—92no—
620C23—92no—
621C23—92no—
622C23—92no—
623C23—188no—
624C23—188no—
625C23—188no—
626C23—181no—
627C23—181no—
628C23—181no—
629C23—181no—
630C23—181no—
631C23—181no—
632C23—364no—
633C23—364no—
634C23—364no—
635C23—364no—
636C23#381112yes—
637C23C22×D3211yescharacteristic
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—34no—
645C2×C4—62no—
646C2×C4—62no—
647C2×C4—62no—
648C2×C4—62no—
649C2×C4—62no—
650C2×C4—62no—
651C2×C4—62no—
652C2×C4—62no—
653C2×C4—62no—
654C2×C4—62no—
655C2×C4—62no—
656C2×C4—188no—
657C2×C4—181no—
658C2×C4—181no—
659C2×C4—181no—
660C2×C4—181no—
661C2×C4—181no—
662C2×C4—181no—
663C2×C4—364no—
664C2×C4—364no—
665C2×C4—364no—
666C2×C4—364no—
667C2×C4—364no—
668C2×C3—21no—
669C2×C3—21no—
670C2×C3—21no—
671C2×C3—21no—
672C2×C3—21no—
673C2×C3—21no—
674C2×C3—21no—
675C2×C3—44no—
676C2×C3—44no—
677C2×C3D3×#12112yes—
678C2×C3D3×#12312yes—
679C2×C3D3×#12312yes—
680C2×C3D3×#12312yes—
681C2×C3D3×#12412yes—
682C2×C3D3×#12612yes—
683C2×C3D3×#12612yes—
684D3—316no—
685D3—68no—
686D3—124no—
687D3—124no—
688C22—22no—
689C22—22no—
690C22—22no—
691C22—41no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—94no—
696C22—94no—
697C22—94no—
698C22—94no—
699C22—94no—
700C22—94no—
701C22—94no—
702C22—182no—
703C22—182no—
704C22—182no—
705C22—3616no—
706C22—361no—
707C22—361no—
708C22—361no—
709C22—361no—
710C22#6430611yescharacteristic
711C22#6430611yescharacteristic
712C22D32×D411yescharacteristic
713C22#6431211yescharacteristic
714C22#6431211yescharacteristic
715C22#6431211yescharacteristic
716C22C2×#381111yescharacteristic
717C4—41no—
718C4—41no—
719C4—64no—
720C4—122no—
721C4—122no—
722C4—122no—
723C4—361no—
724C4—361no—
725C3—21no—
726C3D3×#39712yescomplemented
727C2—42no—
728C2—98no—
729C2—362no—
730C2#1059415411yescharacteristic
731C2#1059415411yescharacteristic
732C2#1059426011yescharacteristic
733C2#1059428811yescharacteristic
734C2#1059507911yescharacteristic
735C2#1059516911yescharacteristic
736C2#1059529811yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutator, socle, cosocleC23×C32C24
FittingC2×C32×C22⋊C4C22
prime radicalC24×C3⋊D3C22
hypercenterC2×C22⋊C4D32
hypocenterC32C2×#397
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
4. C2×#63883C2semidirect
5. C3×#4952C2semidirect
6. #10591717C2semidirect
7. #10591370C2semidirect
8. #10591370C2semidirect
9. #10591370C2semidirect
10. #10591208C2semidirect
11. #10591204C2semidirect
27. C2×C3×Dic3⋊C4C22semidirect
30. C2×Dic3⋊Dic3C22semidirect
34. C3×C3⋊#95C22semidirect
35. C3×C3⋊#95C22semidirect
36. C3×C3⋊#95C22semidirect
37. #63579C22semidirect
38. #63579C22semidirect
39. #63579C22semidirect
49. #4952D3semidirect
132. C2×Dic3⋊C4C2×D3semidirect
147. C3⋊#95C2×D3semidirect
148. C3⋊#95C2×D3semidirect
149. C3⋊#95C2×D3semidirect
487. C3⋊D3#397semidirect
608. C32C2×#397semidirect
726. C3D3×#397semidirect

Maximal subgroups

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

subgroupindex
C2×C22⋊C4×C3⋊D32
C2×#639742
C2×#638832
C3×#49522
#105917172
#105913702
#105912082
#105912042
D3×#3973