Finite Group Databasebeta

← #11803636

Subgroups — #11803636

Order 1152.

2088 conjugacy classes of subgroups.

The subgroup lattice has 681 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×C4×D4C211yesmaximal, characteristic, complemented
2C2×#64148C211yesmaximal, characteristic
3C2×C4×#638C211yesmaximal, characteristic, complemented
4#10592919C211yesmaximal, characteristic, complemented
5#10592912C211yesmaximal, characteristic, complemented
6#10592909C211yesmaximal, characteristic, complemented
7C2×#63658C211yesmaximal, characteristic, complemented
8#10592688C211yesmaximal, characteristic, complemented
9#10592677C211yesmaximal, characteristic, complemented
10#10592657C211yesmaximal, characteristic, complemented
11#10592655C211yesmaximal, characteristic, complemented
12#10592643C211yesmaximal, characteristic, complemented
13#10592641C211yesmaximal, characteristic, complemented
14#10592639C211yesmaximal, characteristic, complemented
15#10592632C211yesmaximal, characteristic, complemented
16#82327—34nomaximal
17C22×C32×D4C2211yescharacteristic
18C23×C32×C4C2211yescharacteristic
19C23×C32×C4C2211yescharacteristic
20C22×#638C2211yescharacteristic
21C22×#638C2211yescharacteristic
22C23×C3⋊Dic3C2211yescharacteristic
23C23×C3⋊Dic3C2211yescharacteristic
24C22×C4×C3⋊D3C2211yescharacteristic
25C32×C4×D4—24no—
26C2×C32×C4⋊C4C2211yescharacteristic
27C2×C32×C22⋊C4C2211yescharacteristic
28C2×C32×C22⋊C4C2211yescharacteristic
29C2×C32×C42C2211yescharacteristic
30C2×#3757C2211yescharacteristic
31C2×#3757C2211yescharacteristic
32C2×#3757C2211yescharacteristic
33C2×#3757C2211yescharacteristic
34#64148C418yescomplemented
35C4×#638—24no—
36C2×#3752C2211yescharacteristic
37C2×#3752C2211yescharacteristic
38C2×#3752C2211yescharacteristic
39C2×#3752C2211yescharacteristic
40C2×#3750C2211yescharacteristic
41C2×#3750C2211yescharacteristic
42C2×#3750C2211yescharacteristic
43C2×#3750C2211yescharacteristic
44C2×C4×C3⋊Dic3C2211yescharacteristic
45#63658C2211yescharacteristic
46#63658C2211yescharacteristic
47#63658C2211yescharacteristic
48#63658C2211yescharacteristic
49#63658C2211yescharacteristic
50#63658C2211yescharacteristic
51#63658C2211yescharacteristic
52#63658C2211yescharacteristic
53#63658C2211yescharacteristic
54#63658C2211yescharacteristic
55C2×C3×C4×D4D314yescomplemented
56C2×#939—34no—
57C2×C4×#67—34no—
58#5220—34no—
59#5213—34no—
60#5210—34no—
61C2×C3⋊#95—34no—
62#4989—34no—
63#4978—34no—
64#4958—34no—
65#4956—34no—
66#4944—34no—
67#4942—34no—
68#4940—34no—
69#4933—34no—
70C24×C32C2311yescharacteristic
71C24×C32C2311yescharacteristic
72C23×C3⋊D3C2311yescharacteristic
73C2×C32×D4—22no—
74C2×C32×D4—22no—
75C2×C32×D4C2×C414yescomplemented
76C22×C32×C4—22no—
77C22×C32×C4—41no—
78C22×C32×C4—41no—
79C22×C32×C4—41no—
80C22×C32×C4—41no—
81C22×C32×C4D414yescomplemented
82C22×C32×C4C2311yescharacteristic
83C22×C32×C4C2311yescharacteristic
84C22×C32×C4C2311yescharacteristic
85C22×C32×C4C2311yescharacteristic
86C22×C32×C4C2311yescharacteristic
87C2×#638—22no—
88C2×#638—22no—
89C2×#638—41no—
90C2×#638—41no—
91C2×#638C2×C414yescomplemented
92C2×#638C2×C414yescomplemented
93C22×C3⋊Dic3—22no—
94C22×C3⋊Dic3—41no—
95C22×C3⋊Dic3—41no—
96C22×C3⋊Dic3—41no—
97C22×C3⋊Dic3—41no—
98C22×C3⋊Dic3C2×C414yescomplemented
99C22×C3⋊Dic3C2311yescharacteristic
100C22×C3⋊Dic3C2311yescharacteristic
101C22×C3⋊Dic3C2311yescharacteristic
102C22×C3⋊Dic3C2311yescharacteristic
103C22×C3⋊Dic3C2311yescharacteristic
104C22×C3⋊Dic3C2311yescharacteristic
105C22×C3⋊Dic3C2311yescharacteristic
106C2×C4×C3⋊D3—22no—
107C2×C4×C3⋊D3—41no—
108C2×C4×C3⋊D3—41no—
109C32×C4⋊C4—22no—
110C32×C22⋊C4—22no—
111C32×C22⋊C4—22no—
112C32×C42—22no—
113#3757—22no—
114#3757—41no—
115#3757—41no—
116#3757C2×C414yescomplemented
117#3752—22no—
118#3752—41no—
119#3752—41no—
120#3752C2×C414yescomplemented
121#3750—22no—
122#3750—41no—
123#3750—41no—
124#3750C2×C414yescomplemented
125C4×C3⋊Dic3—22no—
126#2325—91noSylow
127C22×C3×D4C2×D314yes—
128C23×C3×C4C2×D314yes—
129C23×C3×C4C2×D314yes—
130C22×#67—34no—
131C22×#67—34no—
132C23×Dic3—34no—
133C23×Dic3—34no—
134C22×C4×D3—34no—
135C3×C4×D4—216no—
136C2×C3×C4⋊C4C2×D314yes—
137C2×C3×C22⋊C4C2×D314yes—
138C2×C3×C22⋊C4C2×D314yes—
139C2×C3×C42C2×D314yes—
140C2×#217—34no—
141C2×#217—34no—
142C2×#217—34no—
143C2×#217—34no—
144#939—332no—
145C4×#67—616no—
146C2×(C2×D3)⋊C4—34no—
147C2×(C2×D3)⋊C4—34no—
148C2×(C2×D3)⋊C4—34no—
149C2×(C2×D3)⋊C4—34no—
150C2×Dic3⋊C4—34no—
151C2×Dic3⋊C4—34no—
152C2×Dic3⋊C4—34no—
153C2×Dic3⋊C4—34no—
154C2×C4×Dic3—34no—
155C3⋊#95—34no—
156C3⋊#95—34no—
157C3⋊#95—34no—
158C3⋊#95—34no—
159C3⋊#95—34no—
160C3⋊#95—34no—
161C3⋊#95—34no—
162C3⋊#95—34no—
163C3⋊#95—34no—
164C3⋊#95—34no—
165C23×C32—21no—
166C23×C32—21no—
167C23×C32—21no—
168C23×C32—21no—
169C23×C32—21no—
170C23×C32—21no—
171C23×C32—21no—
172C23×C32—21no—
173C23×C32—21no—
174C23×C32—21no—
175C23×C32C22×C412yes—
176C23×C32C22×C412yes—
177C23×C32C2×D412yes—
178C23×C32#4112yes—
179C23×C32C2411yescharacteristic
180C22×C3⋊D3—21no—
181C22×C3⋊D3—21no—
182C22×C3⋊D3—21no—
183C22×C3⋊D3—21no—
184C22×C3⋊D3—21no—
185C22×C3⋊D3—21no—
186C22×C3⋊D3C22×C412yes—
187C32×D4—28no—
188C2×C32×C4—21no—
189C2×C32×C4—21no—
190C2×C32×C4—21no—
191C2×C32×C4—21no—
192C2×C32×C4—21no—
193C2×C32×C4—21no—
194C2×C32×C4—21no—
195C2×C32×C4—21no—
196C2×C32×C4—21no—
197C2×C32×C4—21no—
198C2×C32×C4—21no—
199C2×C32×C4—21no—
200C2×C32×C4—44no—
201C2×C32×C4—44no—
202C2×C32×C4C22×C412yes—
203C2×C32×C4C2×D412yes—
204C2×C32×C4C2×D412yes—
205#638—28no—
206#638—44no—
207C2×C3⋊Dic3—21no—
208C2×C3⋊Dic3—21no—
209C2×C3⋊Dic3—21no—
210C2×C3⋊Dic3—21no—
211C2×C3⋊Dic3—21no—
212C2×C3⋊Dic3—21no—
213C2×C3⋊Dic3—21no—
214C2×C3⋊Dic3—21no—
215C2×C3⋊Dic3—21no—
216C2×C3⋊Dic3—21no—
217C2×C3⋊Dic3—21no—
218C2×C3⋊Dic3—21no—
219C2×C3⋊Dic3—21no—
220C2×C3⋊Dic3—21no—
221C2×C3⋊Dic3—21no—
222C2×C3⋊Dic3—21no—
223C2×C3⋊Dic3—21no—
224C2×C3⋊Dic3—21no—
225C2×C3⋊Dic3—44no—
226C2×C3⋊Dic3—44no—
227C2×C3⋊Dic3C22×C412yes—
228C2×C3⋊Dic3C22×C412yes—
229C2×C3⋊Dic3C22×C412yes—
230C4×C3⋊D3—44no—
231C2×#121—91no—
232C2×C4×D4—91no—
233C2×C4×D4C3⋊D311yescharacteristic, complemented
234#388—91no—
235#388—91no—
236#387—91no—
237#387—91no—
238#386—91no—
239#386—91no—
240#386—91no—
241#386—91no—
242#385—91no—
243#385—91no—
244#380—91no—
245C2×#95—91no—
246C24×C3C22×D314yes—
247C24×C3C22×D314yes—
248C23×D3—34no—
249C2×C3×D4—28no—
250C2×C3×D4—28no—
251C2×C3×D4C4×D3116yescomplemented
252C22×C3×C4—28no—
253C22×C3×C4—44no—
254C22×C3×C4—44no—
255C22×C3×C4—44no—
256C22×C3×C4—44no—
257C22×C3×C4#67116yescomplemented
258C22×C3×C4C22×D314yes—
259C22×C3×C4C22×D314yes—
260C22×C3×C4C22×D314yes—
261C22×C3×C4C22×D314yes—
262C22×C3×C4C22×D314yes—
263C2×#67—316no—
264C2×#67—316no—
265C2×#67—68no—
266C2×#67—68no—
267C2×#67—124no—
268C2×#67—124no—
269C22×Dic3—34no—
270C22×Dic3—34no—
271C22×Dic3—34no—
272C22×Dic3—316no—
273C22×Dic3—34no—
274C22×Dic3—34no—
275C22×Dic3—34no—
276C22×Dic3—34no—
277C22×Dic3—68no—
278C22×Dic3—124no—
279C22×Dic3—124no—
280C22×Dic3—124no—
281C22×Dic3—124no—
282C2×C4×D3—68no—
283C2×C4×D3—124no—
284C2×C4×D3—124no—
285C3×C4⋊C4—28no—
286C3×C22⋊C4—28no—
287C3×C22⋊C4—28no—
288C3×C42—28no—
289#217—316no—
290#217—68no—
291#217—124no—
292#217—124no—
293(C2×D3)⋊C4—316no—
294(C2×D3)⋊C4—68no—
295(C2×D3)⋊C4—124no—
296(C2×D3)⋊C4—124no—
297Dic3⋊C4—316no—
298Dic3⋊C4—68no—
299Dic3⋊C4—124no—
300Dic3⋊C4—124no—
301C4×Dic3—68no—
302C22×C32—22no—
303C22×C32—22no—
304C22×C32—22no—
305C22×C32—22no—
306C22×C32—22no—
307C22×C32—22no—
308C22×C32—22no—
309C22×C32—22no—
310C22×C32—22no—
311C22×C32—41no—
312C22×C32—41no—
313C22×C32—41no—
314C22×C32—41no—
315C22×C32C4×D414yes—
316C22×C32C23×C411yescharacteristic
317C22×C32C22×D411yescharacteristic
318C22×C32C2×#4111yescharacteristic
319C22×C32H(5,𝔽2)11yescharacteristic
320C22×C32H(5,𝔽2)11yescharacteristic
321C22×C32H(5,𝔽2)11yescharacteristic
322C22×C322−1+411yescharacteristic
323C2×C3⋊D3—22no—
324C2×C3⋊D3—22no—
325C2×C3⋊D3—22no—
326C2×C3⋊D3—41no—
327C2×C3⋊D3—41no—
328C2×C3⋊D3—41no—
329C2×C3⋊D3—41no—
330C32×C4—22no—
331C32×C4—22no—
332C32×C4—22no—
333C32×C4—41no—
334C32×C4—41no—
335C3⋊Dic3—22no—
336C3⋊Dic3—22no—
337C3⋊Dic3—22no—
338C3⋊Dic3—41no—
339C3⋊Dic3—41no—
340C3⋊Dic3—41no—
341C3⋊Dic3—41no—
342C22×D4—91no—
343C22×D4—91no—
344C22×D4C2×C3⋊D311yescharacteristic
345C23×C4—91no—
346C23×C4—91no—
347C23×C4—91no—
348C23×C4C2×C3⋊D311yescharacteristic
349C23×C4C2×C3⋊D311yescharacteristic
350#121—98no—
351C4×D4—24no—
352C4×D4—184no—
353C2×C4⋊C4—91no—
354C2×C4⋊C4—91no—
355C2×C4⋊C4—91no—
356C2×C4⋊C4—91no—
357C2×C4⋊C4C2×C3⋊D311yescharacteristic
358C2×C22⋊C4—91no—
359C2×C22⋊C4—91no—
360C2×C22⋊C4—91no—
361C2×C22⋊C4—91no—
362C2×C22⋊C4—91no—
363C2×C22⋊C4—91no—
364C2×C22⋊C4—91no—
365C2×C22⋊C4—91no—
366C2×C22⋊C4C2×C3⋊D311yescharacteristic
367C2×C22⋊C4C2×C3⋊D311yescharacteristic
368C2×C42—91no—
369C2×C42C2×C3⋊D311yescharacteristic
370#95—91no—
371#95—91no—
372#95—91no—
373#95—91no—
374#95—91no—
375#95—91no—
376#95—91no—
377#95—91no—
378#95—91no—
379#95—91no—
380C23×C3—24no—
381C23×C3—24no—
382C23×C3—24no—
383C23×C3—24no—
384C23×C3—24no—
385C23×C3—24no—
386C23×C3—24no—
387C23×C3—24no—
388C23×C3—24no—
389C23×C3—24no—
390C23×C3C2×C4×D318yes—
391C23×C3C2×C4×D318yes—
392C23×C3#23518yes—
393C23×C3C2×#6718yes—
394C23×C3C23×D314yes—
395C22×D3—38no—
396C22×D3—64no—
397C22×D3—64no—
398C22×D3—64no—
399C22×D3—64no—
400C22×D3—64no—
401C22×D3—64no—
402C3×D4—232no—
403C2×C3×C4—24no—
404C2×C3×C4—24no—
405C2×C3×C4—24no—
406C2×C3×C4—24no—
407C2×C3×C4—24no—
408C2×C3×C4—24no—
409C2×C3×C4—24no—
410C2×C3×C4—24no—
411C2×C3×C4—24no—
412C2×C3×C4—24no—
413C2×C3×C4—24no—
414C2×C3×C4—24no—
415C2×C3×C4—416no—
416C2×C3×C4—416no—
417C2×C3×C4C2×C4×D318yes—
418C2×C3×C4C2×#6718yes—
419C2×C3×C4C2×#6718yes—
420#67—632no—
421#67—1216no—
422C2×Dic3—38no—
423C2×Dic3—38no—
424C2×Dic3—38no—
425C2×Dic3—64no—
426C2×Dic3—64no—
427C2×Dic3—64no—
428C2×Dic3—64no—
429C2×Dic3—64no—
430C2×Dic3—64no—
431C2×Dic3—64no—
432C2×Dic3—64no—
433C2×Dic3—64no—
434C2×Dic3—64no—
435C2×Dic3—64no—
436C2×Dic3—64no—
437C2×Dic3—64no—
438C2×Dic3—64no—
439C2×Dic3—64no—
440C2×Dic3—64no—
441C2×Dic3—64no—
442C2×Dic3—64no—
443C2×Dic3—1216no—
444C2×Dic3—1216no—
445C4×D3—1216no—
446C2×C32—24no—
447C2×C32—42no—
448C2×C32C2×C4×D411yescharacteristic
449C2×C32#51811yescharacteristic
450C2×C32#52011yescharacteristic
451C2×C32#53411yescharacteristic
452C2×C32#53711yescharacteristic
453C2×C32#53811yescharacteristic
454C2×C32#53911yescharacteristic
455C3⋊D3—42no—
456C24—91no—
457C24C22×C3⋊D311yescharacteristic
458C24C22×C3⋊D311yescharacteristic
459C2×D4—22no—
460C2×D4—22no—
461C2×D4—94no—
462C2×D4—94no—
463C2×D4—182no—
464C2×D4—182no—
465C2×D4—361no—
466C2×D4—361no—
467C2×D4C4×C3⋊D314yescomplemented
468C22×C4—22no—
469C22×C4—41no—
470C22×C4—41no—
471C22×C4—41no—
472C22×C4—41no—
473C22×C4—91no—
474C22×C4—91no—
475C22×C4—91no—
476C22×C4—94no—
477C22×C4—91no—
478C22×C4—91no—
479C22×C4—91no—
480C22×C4—91no—
481C22×C4—182no—
482C22×C4—182no—
483C22×C4—361no—
484C22×C4—361no—
485C22×C4—361no—
486C22×C4—361no—
487C22×C4—361no—
488C22×C4—361no—
489C22×C4#63814yescomplemented
490C22×C4C22×C3⋊D311yescharacteristic
491C22×C4C22×C3⋊D311yescharacteristic
492C22×C4C22×C3⋊D311yescharacteristic
493C22×C4C22×C3⋊D311yescharacteristic
494C22×C4C22×C3⋊D311yescharacteristic
495C4⋊C4—22no—
496C4⋊C4—94no—
497C4⋊C4—182no—
498C4⋊C4—361no—
499C4⋊C4—361no—
500C22⋊C4—22no—
501C22⋊C4—22no—
502C22⋊C4—94no—
503C22⋊C4—94no—
504C22⋊C4—182no—
505C22⋊C4—182no—
506C22⋊C4—361no—
507C22⋊C4—361no—
508C22⋊C4—361no—
509C22⋊C4—361no—
510C42—22no—
511C42—182no—
512C22×C3—28no—
513C22×C3—28no—
514C22×C3—28no—
515C22×C3—28no—
516C22×C3—28no—
517C22×C3—28no—
518C22×C3—28no—
519C22×C3—28no—
520C22×C3—28no—
521C22×C3—44no—
522C22×C3—44no—
523C22×C3—44no—
524C22×C3—44no—
525C22×C3C4×#67116yes—
526C22×C3C22×C4×D314yes—
527C22×C3C2×#23514yes—
528C22×C3#100414yes—
529C22×C3#100414yes—
530C22×C3#100914yes—
531C22×C3#101014yes—
532C22×C3C22×#6714yes—
533C2×D3—68no—
534C2×D3—68no—
535C2×D3—68no—
536C2×D3—124no—
537C2×D3—124no—
538C2×D3—124no—
539C2×D3—124no—
540C3×C4—28no—
541C3×C4—28no—
542C3×C4—28no—
543C3×C4—44no—
544C3×C4—44no—
545Dic3—68no—
546Dic3—68no—
547Dic3—68no—
548Dic3—124no—
549Dic3—124no—
550Dic3—124no—
551Dic3—124no—
552C32#232511yescharacteristic, complemented, Sylow
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—92no—
564C23—181no—
565C23—181no—
566C23—181no—
567C23—181no—
568C23—181no—
569C23—181no—
570C23C2×C4×C3⋊D312yes—
571C23C2×C4×C3⋊D312yes—
572C23#382812yes—
573C23C2×#63812yes—
574C23C23×C3⋊D311yescharacteristic
575D4—28no—
576D4—188no—
577D4—364no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—44no—
591C2×C4—44no—
592C2×C4—92no—
593C2×C4—92no—
594C2×C4—92no—
595C2×C4—181no—
596C2×C4—181no—
597C2×C4—181no—
598C2×C4—181no—
599C2×C4—181no—
600C2×C4—181no—
601C2×C4—181no—
602C2×C4—181no—
603C2×C4—181no—
604C2×C4—181no—
605C2×C4—181no—
606C2×C4—181no—
607C2×C4—181no—
608C2×C4—181no—
609C2×C4—181no—
610C2×C4—181no—
611C2×C4—181no—
612C2×C4—181no—
613C2×C4—364no—
614C2×C4—364no—
615C2×C4—364no—
616C2×C4C2×C4×C3⋊D312yes—
617C2×C4C2×#63812yes—
618C2×C4C2×#63812yes—
619C2×C3—216no—
620C2×C3—48no—
621C2×C3#554514yes—
622C2×C3#554614yes—
623C2×C3#556014yes—
624C2×C3#556414yes—
625C2×C3C2×C4×#6714yes—
626C2×C3#580414yes—
627C2×C3#583314yes—
628D3—128no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—22no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—41no—
642C22—182no—
643C22—182no—
644C22—182no—
645C22—361no—
646C22—361no—
647C22—361no—
648C22—361no—
649C22C4×#63814yes—
650C22C22×C4×C3⋊D311yescharacteristic
651C22C2×#382811yescharacteristic
652C22#6436111yescharacteristic
653C22#6436111yescharacteristic
654C22#6436611yescharacteristic
655C22#6436711yescharacteristic
656C22C22×#63811yescharacteristic
657C4—22no—
658C4—22no—
659C4—22no—
660C4—41no—
661C4—41no—
662C4—182no—
663C4—182no—
664C4—182no—
665C4—361no—
666C4—361no—
667C4—361no—
668C4—361no—
669C3#8232714yescomplemented
670C2—24no—
671C2—42no—
672C2—362no—
673C2#1059601611yescharacteristic
674C2#1059601711yescharacteristic
675C2#1059603111yescharacteristic
676C2#1059603511yescharacteristic
677C2C2×C4×#63811yescharacteristic
678C2#1059627511yescharacteristic
679C2#1059630411yescharacteristic
subgroupG/H
center, FrattiniC23C23×C3⋊D3
commutatorC22×C32C23×C4
FittingC2×C32×C4×D4C2
socle, cosocleC23×C32C24
prime radicalC2×#64148C2
hypercenterC2×C4×D4C3⋊D3
hypocenterC32#2325
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×C32×C4×D4C2semidirect
3. C2×C4×#638C2semidirect
4. #10592919C2semidirect
5. #10592912C2semidirect
6. #10592909C2semidirect
7. C2×#63658C2semidirect
8. #10592688C2semidirect
9. #10592677C2semidirect
10. #10592657C2semidirect
11. #10592655C2semidirect
12. #10592643C2semidirect
13. #10592641C2semidirect
14. #10592639C2semidirect
15. #10592632C2semidirect
34. #64148C4semidirect
55. C2×C3×C4×D4D3semidirect
75. C2×C32×D4C2×C4semidirect
81. C22×C32×C4D4semidirect
91. C2×#638C2×C4semidirect
92. C2×#638C2×C4semidirect
98. C22×C3⋊Dic3C2×C4semidirect
116. #3757C2×C4semidirect
120. #3752C2×C4semidirect
124. #3750C2×C4semidirect
233. C2×C4×D4C3⋊D3semidirect
251. C2×C3×D4C4×D3semidirect
257. C22×C3×C4#67semidirect
467. C2×D4C4×C3⋊D3semidirect
489. C22×C4#638semidirect
552. C32#2325semidirect
669. C3#82327semidirect

Maximal subgroups

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

subgroupindex
C2×C32×C4×D42
C2×#641482
C2×C4×#6382
#105929192
#105929122
#105929092
C2×#636582
#105926882
#105926772
#105926572
#105926552
#105926432
#105926412
#105926392
#105926322
#823273