Finite Group Databasebeta

← #11808266

Subgroups — #11808266

Order 1152.

2025 conjugacy classes of subgroups.

The subgroup lattice has 705 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4⋊C4×C3⋊D3C211yesmaximal, characteristic, complemented
2C2×#63921C211yesmaximal, characteristic
3C2×#63921C211yesmaximal, characteristic
4C2×#63921C211yesmaximal, characteristic
5C2×#63900C211yesmaximal, characteristic, complemented
6C2×#63883C211yesmaximal, characteristic, complemented
7C3×#4994C212yesmaximal, complemented
8#10591370C211yesmaximal, characteristic, complemented
9#10591319C212yesmaximal, complemented
10#10591309C212yesmaximal, complemented
11#10591308C212yesmaximal, complemented
12D3×#396—32nomaximal
13C23×D32C2211yescharacteristic
14C22×C4×C3⋊D3C2211yescharacteristic
15C22×C4×C3⋊D3C2211yescharacteristic
16C22×C4×C3⋊D3C2211yescharacteristic
17C22×#624C2211yescharacteristic
18C22×#624C2211yescharacteristic
19C22×#624C2211yescharacteristic
20C2×C32×C4⋊C4C2211yescharacteristic, complemented
21C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
22C2×#3750C2211yescharacteristic, complemented
23C2×#3750C2211yescharacteristic, complemented
24C4⋊C4×C3⋊D3—24no—
25C2×C3×(C2×D3)⋊C4C2212yes—
26C2×C3×(C2×D3)⋊C4C2212yes—
27C2×C3×(C2×D3)⋊C4C2212yes—
28C2×C3×C4⋊Dic3C2212yescomplemented
29C2×C3×Dic3⋊C4C2212yescomplemented
30C2×#3724C2212yescomplemented
31C2×Dic3⋊Dic3C2212yescomplemented
32C2×(C2×D3)⋊Dic3C2212yes—
33C2×(C2×D3)⋊Dic3C2212yes—
34C2×(C2×D3)⋊Dic3C2212yes—
35#63921—24no—
36#63921—24no—
37#63921—24no—
38#63900—24no—
39#63883—24no—
40C3×C3⋊#95C2212yescomplemented
41#63579C2212yescomplemented
42C2×D3×C4⋊C4—32no—
43C2×D3×C4⋊C4—32no—
44C2×D3×C4⋊C4—32no—
45C2×D3×C4⋊C4—61no—
46C2×D3×C22⋊C4—32no—
47C2×D3×C22⋊C4—32no—
48C2×D3×C22⋊C4—32no—
49C3×#396—32no—
50#4994—32no—
51#4994—32no—
52#4994D312yescomplemented
53#4948—32no—
54#4948—32no—
55#4948—32no—
56#4676—32no—
57D3×#95—32no—
58C23×C3⋊D3C2311yescharacteristic
59C23×C3×D3C2312yes—
60C22×D32—22no—
61C22×D32—22no—
62C22×D32—22no—
63C22×D32—22no—
64C22×D32—22no—
65C22×D32—22no—
66C22×D32Q814yes—
67C22×C32×C4C2311yescharacteristic
68C22×C32×C4C2311yescharacteristic
69C22×C32×C4C2311yescharacteristic
70C22×C3⋊Dic3C2311yescharacteristic
71C22×C3⋊Dic3C2311yescharacteristic
72C22×C3⋊Dic3C2311yescharacteristic
73C2×C4×C3⋊D3—22no—
74C2×C4×C3⋊D3—22no—
75C2×C4×C3⋊D3—22no—
76C2×C4×C3⋊D3—22no—
77C2×C4×C3⋊D3—22no—
78C2×C4×C3⋊D3—22no—
79C2×C4×C3⋊D3—22no—
80C2×C4×C3⋊D3D414yes—
81C2×C4×C3⋊D3D414yes—
82C22×C3×Dic3C2312yes—
83C22×C3×Dic3C2312yes—
84C22×C3×Dic3C2312yes—
85C2×#624—22no—
86C2×#624—22no—
87C2×#624—22no—
88C2×#624—22no—
89C2×#624—22no—
90C2×#624—22no—
91C2×#624—22no—
92C2×#624—22no—
93C2×#624D414yes—
94C32×C4⋊C4—22no—
95C4⋊(C3⋊Dic3)—22no—
96#3750—22no—
97#3750—22no—
98C3×(C2×D3)⋊C4—24no—
99C3×(C2×D3)⋊C4—24no—
100C3×(C2×D3)⋊C4—24no—
101C3×C4⋊Dic3—24no—
102C3×Dic3⋊C4—24no—
103#3724—24no—
104Dic3⋊Dic3—24no—
105(C2×D3)⋊Dic3—24no—
106(C2×D3)⋊Dic3—24no—
107(C2×D3)⋊Dic3—24no—
108C2×#396—91noSylow
109C24×D3—32no—
110C22×C4×D3—32no—
111C22×C4×D3—32no—
112C22×C4×D3—32no—
113C22×C4×D3—32no—
114C22×C4×D3—32no—
115C22×C4×D3—32no—
116C22×C4×D3—61no—
117C22×C4×D3—61no—
118C22×C4×D3—61no—
119C2×C3×C4⋊C4—21no—
120C2×C3×C4⋊C4—32no—
121C2×C3×C4⋊C4—32no—
122C2×C3×C4⋊C4C2×D312yescomplemented
123C2×C3×C22⋊C4—32no—
124C2×C3×C22⋊C4—32no—
125C2×C3×C22⋊C4—32no—
126C2×#217—32no—
127C2×#217—32no—
128C2×#217—32no—
129C2×(C2×D3)⋊C4—32no—
130C2×(C2×D3)⋊C4—32no—
131C2×(C2×D3)⋊C4—32no—
132C2×(C2×D3)⋊C4C2×D312yes—
133C2×(C2×D3)⋊C4C2×D312yes—
134C2×(C2×D3)⋊C4C2×D312yes—
135C2×C4⋊Dic3—32no—
136C2×C4⋊Dic3—32no—
137C2×C4⋊Dic3—61no—
138C2×C4⋊Dic3C2×D312yescomplemented
139C2×Dic3⋊C4—32no—
140C2×Dic3⋊C4—32no—
141C2×Dic3⋊C4—32no—
142C2×Dic3⋊C4—32no—
143C2×Dic3⋊C4—32no—
144C2×Dic3⋊C4—61no—
145C2×Dic3⋊C4—61no—
146C2×Dic3⋊C4C2×D312yescomplemented
147D3×C4⋊C4—68no—
148D3×C4⋊C4—68no—
149D3×C4⋊C4—68no—
150D3×C4⋊C4—68no—
151D3×C22⋊C4—68no—
152D3×C22⋊C4—68no—
153D3×C22⋊C4—68no—
154C3×#95—32no—
155C3⋊#95—32no—
156C3⋊#95—32no—
157C3⋊#95C2×D312yescomplemented
158C23×C32C2411yescharacteristic
159C22×C3⋊D3C2×D412yes—
160C22×C3⋊D3C2×D412yes—
161C22×C3⋊D3C2×D412yes—
162C22×C3⋊D3C2×Q812yes—
163C22×C3⋊D3#4112yes—
164C22×C3⋊D3#4112yes—
165C22×C3⋊D3#4112yes—
166C22×C3×D3—22no—
167C22×C3×D3—22no—
168C22×C3×D3—22no—
169C22×C3×D3—22no—
170C22×C3×D3—22no—
171C22×C3×D3—22no—
172C22×C3×D3C2×Q814yes—
173C2×D32—28no—
174C2×D32—28no—
175C2×D32—28no—
176C2×D32—44no—
177C2×D32—44no—
178C2×D32—44no—
179C2×D32—44no—
180C2×C32×C4—21no—
181C2×C32×C4—21no—
182C2×C32×C4—21no—
183C2×C32×C4—21no—
184C2×C32×C4—21no—
185C2×C32×C4—21no—
186C2×C32×C4—21no—
187C2×C32×C4C2×D412yes—
188C2×C32×C4C2×D412yes—
189C2×C3⋊Dic3—21no—
190C2×C3⋊Dic3—21no—
191C2×C3⋊Dic3—21no—
192C2×C3⋊Dic3—21no—
193C2×C3⋊Dic3—21no—
194C2×C3⋊Dic3—21no—
195C2×C3⋊Dic3—21no—
196C2×C3⋊Dic3C2×D412yes—
197C2×C3⋊Dic3C2×D412yes—
198C4×C3⋊D3—28no—
199C4×C3⋊D3—28no—
200C4×C3⋊D3—44no—
201C2×C3×Dic3—22no—
202C2×C3×Dic3—22no—
203C2×C3×Dic3—22no—
204C2×C3×Dic3—22no—
205C2×C3×Dic3—22no—
206C2×C3×Dic3—22no—
207C2×C3×Dic3—22no—
208C2×C3×Dic3—22no—
209C2×C3×Dic3C2×D414yes—
210#624—28no—
211#624—44no—
212#624—44no—
213C22×C4⋊C4—91no—
214C22×C4⋊C4—91no—
215C22×C4⋊C4—91no—
216C22×C22⋊C4—91no—
217C22×C22⋊C4—91no—
218C22×C22⋊C4—91no—
219#396—32no—
220#396—92no—
221#396—92no—
222#396—92no—
223C2×#95—91no—
224C24×C3—32no—
225C23×D3—32no—
226C23×D3—38no—
227C23×D3—61no—
228C23×D3—64no—
229C23×D3—64no—
230C23×D3—64no—
231C23×D3—64no—
232C23×D3—64no—
233C23×D3—64no—
234C23×D3C22×D312yes—
235C22×C3×C4—21no—
236C22×C3×C4—21no—
237C22×C3×C4—21no—
238C22×C3×C4—32no—
239C22×C3×C4—32no—
240C22×C3×C4—32no—
241C22×C3×C4C22×D312yes—
242C22×C3×C4C22×D312yes—
243C22×C3×C4C22×D312yes—
244C22×Dic3—32no—
245C22×Dic3—32no—
246C22×Dic3—32no—
247C22×Dic3—61no—
248C22×Dic3—61no—
249C22×Dic3—61no—
250C22×Dic3C22×D312yes—
251C22×Dic3C22×D312yes—
252C22×Dic3C22×D312yes—
253C2×C4×D3—38no—
254C2×C4×D3—38no—
255C2×C4×D3—38no—
256C2×C4×D3—64no—
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—24no—
281C3×C4⋊C4—24no—
282C3×C4⋊C4—64no—
283C3×C4⋊C4—64no—
284C3×C22⋊C4—64no—
285C3×C22⋊C4—64no—
286C3×C22⋊C4—64no—
287#217—64no—
288#217—64no—
289#217—64no—
290(C2×D3)⋊C4—24no—
291(C2×D3)⋊C4—24no—
292(C2×D3)⋊C4—24no—
293(C2×D3)⋊C4—64no—
294(C2×D3)⋊C4—64no—
295(C2×D3)⋊C4—64no—
296C4⋊Dic3—24no—
297C4⋊Dic3—64no—
298C4⋊Dic3—64no—
299C4⋊Dic3—64no—
300Dic3⋊C4—24no—
301Dic3⋊C4—64no—
302Dic3⋊C4—64no—
303Dic3⋊C4—64no—
304Dic3⋊C4—64no—
305Dic3⋊C4—64no—
306Dic3⋊C4—64no—
307Dic3⋊C4—64no—
308C22×C32C22×D411yescharacteristic
309C22×C32C22×D411yescharacteristic
310C22×C32C22×D411yescharacteristic
311C22×C32C22×Q811yescharacteristic
312C22×C32C2×#4111yescharacteristic
313C22×C32C2×#4111yescharacteristic
314C22×C32C2×#4111yescharacteristic
315C2×C3⋊D3#12114yes—
316C2×C3⋊D3#12114yes—
317C2×C3⋊D3#12114yes—
318C2×C3⋊D3C22⋊Q814yes—
319C2×C3⋊D3C22⋊Q814yes—
320C2×C3⋊D3C22⋊Q814yes—
321C2×C3⋊D3#12614yes—
322C2×C3×D3—24no—
323C2×C3×D3—24no—
324C2×C3×D3—24no—
325C2×C3×D3—42no—
326C2×C3×D3—42no—
327C2×C3×D3—42no—
328C2×C3×D3—42no—
329D32—416no—
330C32×C4—22no—
331C32×C4—22no—
332C32×C4—41no—
333C3⋊Dic3—22no—
334C3⋊Dic3—22no—
335C3⋊Dic3—41no—
336C3×Dic3—24no—
337C3×Dic3—42no—
338C3×Dic3—42no—
339C25—91no—
340C23×C4—91no—
341C23×C4—91no—
342C23×C4—91no—
343C23×C4—91no—
344C23×C4—91no—
345C23×C4—91no—
346C2×C4⋊C4—32no—
347C2×C4⋊C4—32no—
348C2×C4⋊C4—92no—
349C2×C4⋊C4—92no—
350C2×C4⋊C4—91no—
351C2×C4⋊C4—91no—
352C2×C4⋊C4—91no—
353C2×C4⋊C4—184no—
354C2×C4⋊C4—184no—
355C2×C4⋊C4—184no—
356C2×C4⋊C4D3211yescharacteristic, complemented
357C2×C22⋊C4—32no—
358C2×C22⋊C4—32no—
359C2×C22⋊C4—32no—
360C2×C22⋊C4—92no—
361C2×C22⋊C4—92no—
362C2×C22⋊C4—92no—
363C2×C22⋊C4—184no—
364C2×C22⋊C4—184no—
365C2×C22⋊C4—184no—
366#95—32no—
367#95—92no—
368C23×C3—21no—
369C23×C3—34no—
370C23×C3—62no—
371C23×C3—62no—
372C23×C3—62no—
373C23×C3—62no—
374C23×C3—62no—
375C23×C3—62no—
376C23×C3C23×D312yes—
377C22×D3—22no—
378C22×D3—22no—
379C22×D3—22no—
380C22×D3—22no—
381C22×D3—22no—
382C22×D3—22no—
383C22×D3—34no—
384C22×D3—34no—
385C22×D3—34no—
386C22×D3—34no—
387C22×D3—34no—
388C22×D3—34no—
389C22×D3—34no—
390C22×D3—62no—
391C22×D3—62no—
392C22×D3—62no—
393C22×D3—62no—
394C22×D3—62no—
395C22×D3—62no—
396C22×D3—62no—
397C22×D3—616no—
398C22×D3—616no—
399C22×D3—616no—
400C22×D3—128no—
401C22×D3—128no—
402C22×D3—128no—
403C22×D3—128no—
404C22×D3D3×Q814yes—
405C2×C3×C4—22no—
406C2×C3×C4—22no—
407C2×C3×C4—22no—
408C2×C3×C4—22no—
409C2×C3×C4—22no—
410C2×C3×C4—22no—
411C2×C3×C4—22no—
412C2×C3×C4—22no—
413C2×C3×C4—22no—
414C2×C3×C4—22no—
415C2×C3×C4—22no—
416C2×C3×C4—22no—
417C2×C3×C4—34no—
418C2×C3×C4—41no—
419C2×C3×C4—41no—
420C2×C3×C4—41no—
421C2×C3×C4—41no—
422C2×C3×C4—62no—
423C2×C3×C4—62no—
424C2×C3×C4—62no—
425C2×C3×C4—62no—
426C2×C3×C4—62no—
427C2×C3×C4—62no—
428C2×C3×C4—62no—
429C2×C3×C4—62no—
430C2×C3×C4D3×D414yes—
431C2×C3×C4D3×D414yes—
432C2×Dic3—22no—
433C2×Dic3—22no—
434C2×Dic3—22no—
435C2×Dic3—22no—
436C2×Dic3—22no—
437C2×Dic3—22no—
438C2×Dic3—22no—
439C2×Dic3—22no—
440C2×Dic3—34no—
441C2×Dic3—34no—
442C2×Dic3—62no—
443C2×Dic3—62no—
444C2×Dic3—62no—
445C2×Dic3—62no—
446C2×Dic3—62no—
447C2×Dic3—62no—
448C2×Dic3—62no—
449C2×Dic3—62no—
450C2×Dic3—62no—
451C2×Dic3—62no—
452C2×Dic3—62no—
453C2×Dic3—62no—
454C2×Dic3—121no—
455C2×Dic3—121no—
456C2×Dic3—121no—
457C2×Dic3—121no—
458C2×Dic3D3×D414yes—
459C4×D3—616no—
460C4×D3—616no—
461C4×D3—616no—
462C4×D3—616no—
463C4×D3—128no—
464C4×D3—128no—
465C4×D3—128no—
466C4×D3—128no—
467C4×D3—128no—
468C2×C32C2×#12111yescharacteristic
469C2×C32C2×#12111yescharacteristic
470C2×C32C2×#12111yescharacteristic
471C2×C32C2×C22⋊Q811yescharacteristic
472C2×C32C2×C22⋊Q811yescharacteristic
473C2×C32C2×C22⋊Q811yescharacteristic
474C2×C32C2×#12611yescharacteristic
475C3⋊D3#39618yescomplemented
476C3×D3—44no—
477C24—32no—
478C24—94no—
479C24—91no—
480C24—182no—
481C24—182no—
482C24—182no—
483C24—182no—
484C24—182no—
485C24—182no—
486C22×C4—32no—
487C22×C4—32no—
488C22×C4—32no—
489C22×C4—94no—
490C22×C4—91no—
491C22×C4—91no—
492C22×C4—94no—
493C22×C4—94no—
494C22×C4—91no—
495C22×C4—182no—
496C22×C4—182no—
497C22×C4—182no—
498C22×C4—182no—
499C22×C4—182no—
500C22×C4—182no—
501C22×C4—182no—
502C22×C4—182no—
503C22×C4—182no—
504C22×C4—182no—
505C22×C4—182no—
506C22×C4—182no—
507C22×C4—182no—
508C22×C4—182no—
509C22×C4—182no—
510C22×C4C2×D3211yescharacteristic
511C22×C4C2×D3211yescharacteristic
512C22×C4C2×D3211yescharacteristic
513C4⋊C4—22no—
514C4⋊C4—64no—
515C4⋊C4—64no—
516C4⋊C4—182no—
517C4⋊C4—182no—
518C4⋊C4—184no—
519C4⋊C4—184no—
520C4⋊C4—182no—
521C22⋊C4—64no—
522C22⋊C4—64no—
523C22⋊C4—64no—
524C22⋊C4—184no—
525C22⋊C4—184no—
526C22⋊C4—184no—
527C22×C3—21no—
528C22×C3—21no—
529C22×C3—21no—
530C22×C3—21no—
531C22×C3—21no—
532C22×C3—21no—
533C22×C3—21no—
534C22×C3—64no—
535C22×C3—64no—
536C22×C3—64no—
537C22×C3—122no—
538C22×C3—122no—
539C22×C3—122no—
540C22×C3—122no—
541C22×C3C2×D3×D412yes—
542C22×C3C2×D3×D412yes—
543C22×C3C2×D3×D412yes—
544C22×C3C2×D3×Q812yes—
545C22×C3D3×#4112yes—
546C22×C3D3×#4112yes—
547C22×C3D3×#4112yes—
548C2×D3—24no—
549C2×D3—24no—
550C2×D3—24no—
551C2×D3—38no—
552C2×D3—38no—
553C2×D3—38no—
554C2×D3—38no—
555C2×D3—38no—
556C2×D3—38no—
557C2×D3—38no—
558C2×D3—42no—
559C2×D3—42no—
560C2×D3—42no—
561C2×D3—42no—
562C2×D3—64no—
563C2×D3—64no—
564C2×D3—64no—
565C2×D3—64no—
566C2×D3—64no—
567C2×D3—64no—
568C2×D3—64no—
569C2×D3—1232no—
570C3×C4—24no—
571C3×C4—24no—
572C3×C4—24no—
573C3×C4—42no—
574C3×C4—42no—
575C3×C4—42no—
576C3×C4—64no—
577C3×C4—122no—
578C3×C4—122no—
579Dic3—24no—
580Dic3—42no—
581Dic3—42no—
582Dic3—64no—
583Dic3—64no—
584Dic3—64no—
585Dic3—122no—
586Dic3—122no—
587Dic3—122no—
588C32C2×#39611yescharacteristic, complemented, Sylow
589C23—34no—
590C23—62no—
591C23—62no—
592C23—62no—
593C23—62no—
594C23—62no—
595C23—62no—
596C23—92no—
597C23—92no—
598C23—92no—
599C23—92no—
600C23—92no—
601C23—92no—
602C23—92no—
603C23—188no—
604C23—188no—
605C23—188no—
606C23—364no—
607C23—364no—
608C23—364no—
609C23—364no—
610C23C22×D3211yescharacteristic
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—34no—
619C2×C4—62no—
620C2×C4—62no—
621C2×C4—62no—
622C2×C4—62no—
623C2×C4—62no—
624C2×C4—62no—
625C2×C4—62no—
626C2×C4—62no—
627C2×C4—92no—
628C2×C4—92no—
629C2×C4—188no—
630C2×C4—188no—
631C2×C4—188no—
632C2×C4—181no—
633C2×C4—181no—
634C2×C4—181no—
635C2×C4—181no—
636C2×C4—181no—
637C2×C4—181no—
638C2×C4—181no—
639C2×C4—364no—
640C2×C4—364no—
641C2×C4—364no—
642C2×C4#380212yes—
643C2×C4#381112yes—
644C2×C3—21no—
645C2×C3—21no—
646C2×C3—21no—
647C2×C3—21no—
648C2×C3—21no—
649C2×C3—21no—
650C2×C3—21no—
651C2×C3—124no—
652C2×C3D3×#12112yes—
653C2×C3D3×#12112yes—
654C2×C3D3×#12112yes—
655C2×C3D3×C22⋊Q812yes—
656C2×C3D3×C22⋊Q812yes—
657C2×C3D3×C22⋊Q812yes—
658C2×C3D3×#12612yes—
659D3—316no—
660D3—44no—
661D3—68no—
662C22—64no—
663C22—64no—
664C22—64no—
665C22—94no—
666C22—94no—
667C22—94no—
668C22—94no—
669C22—94no—
670C22—94no—
671C22—94no—
672C22—122no—
673C22—122no—
674C22—122no—
675C22—122no—
676C22—3616no—
677C22C2×#380211yescharacteristic
678C22#6430611yescharacteristic
679C22D32×D411yescharacteristic
680C22#6431211yescharacteristic
681C22D32×Q811yescharacteristic
682C22#6431911yescharacteristic
683C22C2×#381111yescharacteristic
684C4—22no—
685C4—22no—
686C4—41no—
687C4—64no—
688C4—122no—
689C4—122no—
690C4—182no—
691C4—182no—
692C4—361no—
693C3—21no—
694C3D3×#39612yescomplemented
695C2—98no—
696C2—124no—
697C2#1059461211yescharacteristic
698C2#1059462411yescharacteristic
699C2#1059463111yescharacteristic
700C2#1059465611yescharacteristic
701C2#1059508111yescharacteristic
702C2#1059529811yescharacteristic
703C2#1059542911yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutator, socle, cosocleC23×C32C24
FittingC2×C32×C4⋊C4C22
prime radicalC23×D32C22
hypercenterC2×C4⋊C4D32
hypocenterC32C2×#396
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×C4⋊C4×C3⋊D3C2semidirect
5. C2×#63900C2semidirect
6. C2×#63883C2semidirect
7. C3×#4994C2semidirect
8. #10591370C2semidirect
9. #10591319C2semidirect
10. #10591309C2semidirect
11. #10591308C2semidirect
20. C2×C32×C4⋊C4C22semidirect
21. C2×C4⋊(C3⋊Dic3)C22semidirect
22. C2×#3750C22semidirect
23. C2×#3750C22semidirect
28. C2×C3×C4⋊Dic3C22semidirect
29. C2×C3×Dic3⋊C4C22semidirect
30. C2×#3724C22semidirect
31. C2×Dic3⋊Dic3C22semidirect
40. C3×C3⋊#95C22semidirect
41. #63579C22semidirect
52. #4994D3semidirect
122. C2×C3×C4⋊C4C2×D3semidirect
138. C2×C4⋊Dic3C2×D3semidirect
146. C2×Dic3⋊C4C2×D3semidirect
157. C3⋊#95C2×D3semidirect
356. C2×C4⋊C4D32semidirect
475. C3⋊D3#396semidirect
588. C32C2×#396semidirect
694. C3D3×#396semidirect

Maximal subgroups

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

subgroupindex
C2×C4⋊C4×C3⋊D32
C2×#639212
C2×#639002
C2×#638832
C3×#49942
#105913702
#105913192
#105913092
#105913082
D3×#3963