Finite Group Databasebeta

← #11808989

Subgroups — #11808989

Order 1152.

4692 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D4×C3⋊D3C211yesmaximal, characteristic, complemented
2C23×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
3C2×#64146C211yesmaximal, characteristic, complemented
4C2×#64091C212yesmaximal, complemented
5C2×#64091C211yesmaximal, characteristic, complemented
6C32×#386C211yesmaximal, characteristic, complemented
7#10592912C211yesmaximal, characteristic, complemented
8#10592659C212yesmaximal, complemented
9#10592654C211yesmaximal, characteristic, complemented
10#10592370C212yesmaximal, complemented
11#10592364C212yesmaximal, complemented
12#74884—34nomaximal
13C24×C3⋊D3C2211yescharacteristic
14C24×C3⋊D3C2211yescharacteristic, complemented
15C24×C3⋊D3C2211yescharacteristic, complemented
16C22×C32×D4C2211yescharacteristic
17C23×C32×C4C2211yescharacteristic, complemented
18C22×#638C2211yescharacteristic
19C22×#638C2211yescharacteristic, complemented
20C22×#638C2212yescomplemented
21C2×D4×C3⋊D3—24no—
22C2×D4×C3⋊D3—24no—
23C2×D4×C3⋊D3—24no—
24C22×C4⋊(C3⋊D3)—28no—
25C22×C4⋊(C3⋊D3)—24no—
26C22×C4⋊(C3⋊D3)C2212yes—
27C22×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
28C22×C4⋊(C3⋊D3)C2212yescomplemented
29C22×C4⋊(C3⋊D3)C2212yescomplemented
30C22×C4×C3⋊D3C2211yescharacteristic, complemented
31C2×C32×C22⋊C4C2211yescharacteristic, complemented
32C2×C32×C22⋊C4C2212yescomplemented
33C2×#3757C2211yescharacteristic, complemented
34#64146—24no—
35C2×#3752C2212yescomplemented
36C2×#3752C2212yescomplemented
37C2×#3752C2212yescomplemented
38C2×#3752C2212yescomplemented
39C2×#3752C2212yescomplemented
40#64091—24no—
41#64091—28no—
42C32×#95C2212yescomplemented
43#63658C2212yescomplemented
44C22×D3×D4—34no—
45C23×D12—34no—
46C2×#937—34no—
47C2×#882—38no—
48C2×#882—34no—
49C3×#386D314yescomplemented
50#5213—34no—
51#4960—38no—
52#4955—34no—
53#4671—38no—
54#4665—38no—
55C24×C32C2311yescharacteristic
56C24×C32C2311yescharacteristic
57C23×C3⋊D3—22no—
58C23×C3⋊D3—22no—
59C23×C3⋊D3—22no—
60C23×C3⋊D3—22no—
61C23×C3⋊D3—24no—
62C23×C3⋊D3—22no—
63C23×C3⋊D3—24no—
64C23×C3⋊D3—22no—
65C23×C3⋊D3—22no—
66C23×C3⋊D3—22no—
67C23×C3⋊D3—24no—
68C23×C3⋊D3—42no—
69C23×C3⋊D3—42no—
70C23×C3⋊D3—42no—
71C23×C3⋊D3D414yescomplemented
72C23×C3⋊D3C2311yescharacteristic
73C23×C3⋊D3C2312yes—
74C23×C3⋊D3C2311yescharacteristic
75C23×C3⋊D3C2311yescharacteristic
76C2×C32×D4—22no—
77C2×C32×D4—22no—
78C2×C32×D4D414yescomplemented
79C22×C32×C4—22no—
80C22×C32×C4—24no—
81C22×C32×C4C2312yes—
82C22×C32×C4C2311yescharacteristic
83C22×C32×C4C2312yes—
84C2×#638—22no—
85C2×#638—22no—
86C2×#638—22no—
87C2×#638—22no—
88C2×#638—24no—
89C2×#638—24no—
90C2×#638—22no—
91C2×#638—42no—
92C2×#638D414yescomplemented
93C22×C3⋊Dic3C2312yes—
94C22×C3⋊Dic3C2311yescharacteristic
95D4×C3⋊D3—232no—
96C2×C4⋊(C3⋊D3)—232no—
97C2×C4⋊(C3⋊D3)—24no—
98C2×C4⋊(C3⋊D3)—24no—
99C2×C4⋊(C3⋊D3)—24no—
100C2×C4⋊(C3⋊D3)—22no—
101C2×C4⋊(C3⋊D3)—24no—
102C2×C4⋊(C3⋊D3)—22no—
103C2×C4⋊(C3⋊D3)—24no—
104C2×C4⋊(C3⋊D3)—22no—
105C2×C4⋊(C3⋊D3)—24no—
106C2×C4⋊(C3⋊D3)—24no—
107C2×C4⋊(C3⋊D3)—42no—
108C2×C4⋊(C3⋊D3)D418yescomplemented
109C2×C4×C3⋊D3—22no—
110C2×C4×C3⋊D3—22no—
111C2×C4×C3⋊D3—22no—
112C32×C22⋊C4—22no—
113C32×C22⋊C4—24no—
114#3757—22no—
115#3752—24no—
116#3752—24no—
117#3752—24no—
118#3752—24no—
119#3752—42no—
120#2403—91noSylow
121C24×D3—34no—
122C24×D3—34no—
123C24×D3—34no—
124C22×C3×D4C2×D314yes—
125C23×C3×C4C2×D314yescomplemented
126C22×#67—34no—
127C22×#67—34no—
128C22×#67—38no—
129C2×D3×D4—616no—
130C2×D3×D4—616no—
131C2×D3×D4—616no—
132C22×D12—38no—
133C22×D12—34no—
134C22×D12—38no—
135C22×D12—38no—
136C22×D12—632no—
137C22×D12—616no—
138C22×C4×D3—34no—
139C2×C3×C22⋊C4C2×D314yescomplemented
140C2×C3×C22⋊C4C2×D318yescomplemented
141C2×#217—34no—
142#937—616no—
143C2×(C2×D3)⋊C4—38no—
144C2×(C2×D3)⋊C4—38no—
145C2×(C2×D3)⋊C4—38no—
146C2×(C2×D3)⋊C4—38no—
147C2×(C2×D3)⋊C4—38no—
148#882—632no—
149#882—616no—
150C3×#95C2×D318yescomplemented
151C3⋊#95—38no—
152C23×C32—22no—
153C23×C32—22no—
154C23×C32—22no—
155C23×C32—21no—
156C23×C32—21no—
157C23×C32—22no—
158C23×C32C2×D412yes—
159C23×C32C2×D412yes—
160C23×C32C2×D412yes—
161C23×C32C2×D412yescomplemented
162C23×C32C2411yescharacteristic
163C22×C3⋊D3—21no—
164C22×C3⋊D3—21no—
165C22×C3⋊D3—22no—
166C22×C3⋊D3—28no—
167C22×C3⋊D3—28no—
168C22×C3⋊D3—28no—
169C22×C3⋊D3—22no—
170C22×C3⋊D3—22no—
171C22×C3⋊D3—22no—
172C22×C3⋊D3—22no—
173C22×C3⋊D3—22no—
174C22×C3⋊D3—22no—
175C22×C3⋊D3—21no—
176C22×C3⋊D3—21no—
177C22×C3⋊D3—21no—
178C22×C3⋊D3—21no—
179C22×C3⋊D3—22no—
180C22×C3⋊D3—22no—
181C22×C3⋊D3—22no—
182C22×C3⋊D3—22no—
183C22×C3⋊D3—28no—
184C22×C3⋊D3—44no—
185C22×C3⋊D3—48no—
186C22×C3⋊D3—48no—
187C22×C3⋊D3—48no—
188C22×C3⋊D3—48no—
189C22×C3⋊D3—48no—
190C22×C3⋊D3—48no—
191C22×C3⋊D3—44no—
192C22×C3⋊D3—44no—
193C22×C3⋊D3—44no—
194C22×C3⋊D3—44no—
195C22×C3⋊D3C2×D412yes—
196C22×C3⋊D3C2×D414yes—
197C22×C3⋊D3C2×D412yes—
198C22×C3⋊D3C2×D412yescomplemented
199C22×C3⋊D3C2×D414yescomplemented
200C32×D4—28no—
201C2×C32×C4—28no—
202C2×C32×C4—21no—
203C2×C32×C4—21no—
204C2×C32×C4—22no—
205C2×C32×C4—22no—
206C2×C32×C4—22no—
207C2×C32×C4—22no—
208C2×C32×C4—22no—
209C2×C32×C4C2×D412yescomplemented
210C2×C32×C4C2×D414yescomplemented
211#638—28no—
212#638—28no—
213#638—48no—
214C2×C3⋊Dic3—21no—
215C2×C3⋊Dic3—21no—
216C2×C3⋊Dic3—22no—
217C2×C3⋊Dic3—22no—
218C2×C3⋊Dic3—22no—
219C2×C3⋊Dic3C2×D412yescomplemented
220C4⋊(C3⋊D3)—216no—
221C4⋊(C3⋊D3)—28no—
222C4⋊(C3⋊D3)—216no—
223C4⋊(C3⋊D3)—48no—
224C4×C3⋊D3—28no—
225C23×D4—91no—
226C23×D4—91no—
227C2×#120—91no—
228C2×#120—92no—
229C2×#120—91no—
230#392—92no—
231#392—92no—
232#386—91no—
233#386—92no—
234#386C3⋊D311yescharacteristic, complemented
235#379—91no—
236C24×C3C22×D314yes—
237C24×C3C22×D314yes—
238C23×D3—34no—
239C23×D3—34no—
240C23×D3—38no—
241C23×D3—34no—
242C23×D3—316no—
243C23×D3—616no—
244C23×D3—616no—
245C23×D3—68no—
246C23×D3—68no—
247C23×D3—616no—
248C23×D3—68no—
249C23×D3—68no—
250C23×D3—68no—
251C23×D3—68no—
252C23×D3—68no—
253C23×D3—68no—
254C23×D3—128no—
255C23×D3—128no—
256C23×D3—128no—
257C2×C3×D4—28no—
258C2×C3×D4—28no—
259C2×C3×D4D12116yescomplemented
260C22×C3×C4—28no—
261C22×C3×C4—216no—
262C22×C3×C4C22×D318yes—
263C22×C3×C4C22×D314yes—
264C22×C3×C4C22×D318yes—
265C2×#67—316no—
266C2×#67—68no—
267C2×#67—68no—
268C2×#67—68no—
269C2×#67—68no—
270C2×#67—68no—
271C2×#67—616no—
272C2×#67—616no—
273C2×#67—128no—
274C22×Dic3—34no—
275C22×Dic3—38no—
276D3×D4—6128no—
277C2×D12—332no—
278C2×D12—616no—
279C2×D12—616no—
280C2×D12—616no—
281C2×D12—616no—
282C2×D12—68no—
283C2×D12—68no—
284C2×D12—6128no—
285C2×D12—68no—
286C2×D12—616no—
287C2×D12—616no—
288C2×D12—616no—
289C2×D12—128no—
290C2×C4×D3—68no—
291C2×C4×D3—68no—
292C2×C4×D3—68no—
293C3×C22⋊C4—28no—
294C3×C22⋊C4—216no—
295#217—68no—
296(C2×D3)⋊C4—616no—
297(C2×D3)⋊C4—616no—
298(C2×D3)⋊C4—616no—
299(C2×D3)⋊C4—616no—
300(C2×D3)⋊C4—128no—
301C22×C32—22no—
302C22×C32—22no—
303C22×C32—24no—
304C22×C32—24no—
305C22×C32—22no—
306C22×C32—24no—
307C22×C32—41no—
308C22×C32—41no—
309C22×C32—42no—
310C22×C32#12014yescomplemented
311C22×C32C22×D411yescharacteristic
312C22×C32C22×D411yescharacteristic
313C22×C32C22×D412yes—
314C22×C32C22×D411yescharacteristic
315C22×C32H(5,𝔽2)12yes—
316C2×C3⋊D3—22no—
317C2×C3⋊D3—22no—
318C2×C3⋊D3—24no—
319C2×C3⋊D3—24no—
320C2×C3⋊D3—22no—
321C2×C3⋊D3—24no—
322C2×C3⋊D3—22no—
323C2×C3⋊D3—22no—
324C2×C3⋊D3—22no—
325C2×C3⋊D3—24no—
326C2×C3⋊D3—24no—
327C2×C3⋊D3—24no—
328C2×C3⋊D3—416no—
329C2×C3⋊D3—416no—
330C2×C3⋊D3—416no—
331C2×C3⋊D3—42no—
332C2×C3⋊D3—41no—
333C2×C3⋊D3—42no—
334C2×C3⋊D3—41no—
335C2×C3⋊D3—42no—
336C2×C3⋊D3—42no—
337C2×C3⋊D3—42no—
338C2×C3⋊D3—42no—
339C2×C3⋊D3—42no—
340C2×C3⋊D3#12014yescomplemented
341C32×C4—22no—
342C32×C4—24no—
343C32×C4—42no—
344C3⋊Dic3—22no—
345C3⋊Dic3—42no—
346C25—91no—
347C25—91no—
348C25—91no—
349C22×D4—91no—
350C22×D4—91no—
351C22×D4—92no—
352C22×D4—92no—
353C22×D4—91no—
354C22×D4—92no—
355C22×D4—92no—
356C22×D4—188no—
357C22×D4—184no—
358C22×D4—184no—
359C22×D4—184no—
360C22×D4—184no—
361C22×D4C2×C3⋊D311yescharacteristic
362C23×C4—91no—
363C23×C4C2×C3⋊D311yescharacteristic, complemented
364#120—184no—
365#120—188no—
366#120—184no—
367C2×C22⋊C4—91no—
368C2×C22⋊C4—92no—
369C2×C22⋊C4—92no—
370C2×C22⋊C4—92no—
371C2×C22⋊C4—92no—
372C2×C22⋊C4—92no—
373C2×C22⋊C4C2×C3⋊D311yescharacteristic, complemented
374C2×C22⋊C4C2×C3⋊D312yescomplemented
375#95—92no—
376#95C2×C3⋊D312yescomplemented
377C23×C3—28no—
378C23×C3—28no—
379C23×C3—28no—
380C23×C3—24no—
381C23×C3—24no—
382C23×C3—28no—
383C23×C3C2×D1218yes—
384C23×C3C2×D1218yescomplemented
385C23×C3D3×D418yes—
386C23×C3D3×D418yes—
387C23×C3C23×D314yes—
388C22×D3—316no—
389C22×D3—38no—
390C22×D3—38no—
391C22×D3—316no—
392C22×D3—38no—
393C22×D3—632no—
394C22×D3—64no—
395C22×D3—64no—
396C22×D3—68no—
397C22×D3—632no—
398C22×D3—632no—
399C22×D3—632no—
400C22×D3—68no—
401C22×D3—64no—
402C22×D3—64no—
403C22×D3—68no—
404C22×D3—68no—
405C22×D3—68no—
406C22×D3—68no—
407C22×D3—68no—
408C22×D3—64no—
409C22×D3—64no—
410C22×D3—68no—
411C22×D3—68no—
412C22×D3—68no—
413C22×D3—68no—
414C22×D3—1216no—
415C22×D3—1216no—
416C22×D3—1232no—
417C22×D3—1232no—
418C22×D3—1232no—
419C22×D3—1232no—
420C22×D3—1232no—
421C22×D3—1232no—
422C22×D3—1216no—
423C22×D3—1216no—
424C22×D3—1216no—
425C3×D4—232no—
426C2×C3×C4—232no—
427C2×C3×C4—24no—
428C2×C3×C4—24no—
429C2×C3×C4—28no—
430C2×C3×C4—28no—
431C2×C3×C4—28no—
432C2×C3×C4—28no—
433C2×C3×C4—28no—
434C2×C3×C4C2×D1218yescomplemented
435C2×C3×C4D3×D4116yescomplemented
436#67—632no—
437#67—632no—
438#67—1232no—
439C2×Dic3—38no—
440C2×Dic3—64no—
441C2×Dic3—64no—
442C2×Dic3—68no—
443C2×Dic3—68no—
444C2×Dic3—68no—
445D12—664no—
446D12—664no—
447D12—632no—
448D12—1232no—
449C4×D3—632no—
450C2×C32—24no—
451C2×C32—42no—
452C2×C32C2×#12011yescharacteristic
453C2×C32C2×#12011yescharacteristic
454C2×C32#53411yescharacteristic
455C2×C32D4212yes—
456C2×C32D4212yes—
457C3⋊D3—24no—
458C3⋊D3—42no—
459C3⋊D3—44no—
460C3⋊D3—42no—
461C24—91no—
462C24—92no—
463C24—91no—
464C24—91no—
465C24—94no—
466C24—184no—
467C24—184no—
468C24—182no—
469C24—182no—
470C24—184no—
471C24—182no—
472C24—182no—
473C24—182no—
474C24—182no—
475C24—182no—
476C24—182no—
477C24—362no—
478C24—362no—
479C24—362no—
480C24C22×C3⋊D311yescharacteristic
481C24C22×C3⋊D311yescharacteristic
482C2×D4—22no—
483C2×D4—22no—
484C2×D4—94no—
485C2×D4—98no—
486C2×D4—184no—
487C2×D4—184no—
488C2×D4—184no—
489C2×D4—184no—
490C2×D4—182no—
491C2×D4—182no—
492C2×D4—1832no—
493C2×D4—184no—
494C2×D4—184no—
495C2×D4—182no—
496C2×D4—1832no—
497C2×D4—182no—
498C2×D4—182no—
499C2×D4—182no—
500C2×D4—182no—
501C2×D4—184no—
502C2×D4—184no—
503C2×D4—182no—
504C2×D4—184no—
505C2×D4—362no—
506C2×D4—362no—
507C2×D4C4⋊(C3⋊D3)14yescomplemented
508C22×C4—22no—
509C22×C4—24no—
510C22×C4—91no—
511C22×C4—92no—
512C22×C4—182no—
513C22×C4—182no—
514C22×C4—182no—
515C22×C4C22×C3⋊D312yes—
516C22×C4C22×C3⋊D311yescharacteristic
517C22×C4C22×C3⋊D312yes—
518C22⋊C4—22no—
519C22⋊C4—24no—
520C22⋊C4—184no—
521C22⋊C4—184no—
522C22⋊C4—182no—
523C22⋊C4—184no—
524C22⋊C4—184no—
525C22⋊C4—362no—
526C22×C3—28no—
527C22×C3—216no—
528C22×C3—28no—
529C22×C3—216no—
530C22×C3—28no—
531C22×C3—216no—
532C22×C3—44no—
533C22×C3—44no—
534C22×C3—48no—
535C22×C3#882116yescomplemented
536C22×C3C22×D1214yes—
537C22×C3C2×D3×D414yes—
538C22×C3C2×D3×D414yes—
539C22×C3C2×D3×D418yes—
540C22×C3#100918yes—
541C2×D3—316no—
542C2×D3—68no—
543C2×D3—68no—
544C2×D3—616no—
545C2×D3—616no—
546C2×D3—68no—
547C2×D3—68no—
548C2×D3—68no—
549C2×D3—616no—
550C2×D3—616no—
551C2×D3—68no—
552C2×D3—616no—
553C2×D3—616no—
554C2×D3—1264no—
555C2×D3—1264no—
556C2×D3—1264no—
557C2×D3—128no—
558C2×D3—124no—
559C2×D3—128no—
560C2×D3—128no—
561C2×D3—128no—
562C2×D3—128no—
563C2×D3—124no—
564C2×D3—128no—
565C2×D3—128no—
566C3×C4—28no—
567C3×C4—216no—
568C3×C4—48no—
569Dic3—68no—
570Dic3—128no—
571C32#240311yescharacteristic, complemented, Sylow
572C23—22no—
573C23—22no—
574C23—22no—
575C23—21no—
576C23—21no—
577C23—22no—
578C23—94no—
579C23—92no—
580C23—92no—
581C23—94no—
582C23—92no—
583C23—188no—
584C23—188no—
585C23—188no—
586C23—181no—
587C23—181no—
588C23—182no—
589C23—188no—
590C23—182no—
591C23—181no—
592C23—181no—
593C23—182no—
594C23—182no—
595C23—181no—
596C23—181no—
597C23—182no—
598C23—182no—
599C23—182no—
600C23—182no—
601C23—182no—
602C23—182no—
603C23—182no—
604C23—364no—
605C23—368no—
606C23—368no—
607C23—368no—
608C23—368no—
609C23—368no—
610C23—364no—
611C23—364no—
612C23—368no—
613C23—364no—
614C23—364no—
615C23C2×C4⋊(C3⋊D3)12yes—
616C23C2×C4⋊(C3⋊D3)12yescomplemented
617C23D4×C3⋊D312yes—
618C23D4×C3⋊D312yes—
619C23C23×C3⋊D311yescharacteristic
620D4—28no—
621D4—1816no—
622D4—188no—
623D4—1816no—
624D4—188no—
625D4—188no—
626D4—368no—
627D4—368no—
628C2×C4—28no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—92no—
637C2×C4—188no—
638C2×C4—181no—
639C2×C4—181no—
640C2×C4—182no—
641C2×C4—182no—
642C2×C4—182no—
643C2×C4C2×C4⋊(C3⋊D3)12yescomplemented
644C2×C4D4×C3⋊D314yescomplemented
645C2×C3—216no—
646C2×C3—48no—
647C2×C3C2×#88214yes—
648C2×C3D4×D1218yes—
649C2×C3D3×#12014yes—
650C2×C3#560918yes—
651C2×C3#565314yes—
652D3—616no—
653D3—128no—
654D3—128no—
655D3—1216no—
656C22—22no—
657C22—24no—
658C22—22no—
659C22—24no—
660C22—22no—
661C22—24no—
662C22—41no—
663C22—41no—
664C22—42no—
665C22—94no—
666C22—182no—
667C22—182no—
668C22—184no—
669C22—184no—
670C22—182no—
671C22—182no—
672C22—182no—
673C22—184no—
674C22—184no—
675C22—182no—
676C22—184no—
677C22—184no—
678C22—3616no—
679C22—3616no—
680C22—3616no—
681C22—362no—
682C22—361no—
683C22—362no—
684C22—362no—
685C22—362no—
686C22—362no—
687C22—361no—
688C22—362no—
689C22—362no—
690C22#6409114yescomplemented
691C22C22×C4⋊(C3⋊D3)11yescharacteristic
692C22C2×D4×C3⋊D311yescharacteristic
693C22C2×D4×C3⋊D311yescharacteristic
694C22C2×D4×C3⋊D312yes—
695C22#6436612yes—
696C4—22no—
697C4—24no—
698C4—42no—
699C4—182no—
700C4—362no—
701C3#7488414yescomplemented
702C2—24no—
703C2—42no—
704C2—184no—
705C2—362no—
706C2—362no—
707C2—364no—
708C2C2×#6409111yescharacteristic
709C2D4×C4⋊(C3⋊D3)12yes—
710C2C3⋊D3×#12011yescharacteristic
711C2#1059608012yes—
712C2#1059612411yescharacteristic
subgroupG/H
center, FrattiniC23C23×C3⋊D3
commutator, socle, cosocleC23×C32C24
FittingC32×#386C2
hypercenter#386C3⋊D3
hypocenterC32#2403
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ #386

Complements

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

NH ≅ G/Ntype
1. C22×D4×C3⋊D3C2semidirect
2. C23×C4⋊(C3⋊D3)C2semidirect
3. C2×#64146C2semidirect
4. C2×#64091C2semidirect
5. C2×#64091C2semidirect
6. C32×#386C2semidirect
7. #10592912C2semidirect
8. #10592659C2semidirect
9. #10592654C2semidirect
10. #10592370C2semidirect
11. #10592364C2semidirect
14. C24×C3⋊D3C22semidirect
15. C24×C3⋊D3C22semidirect
17. C23×C32×C4C22semidirect
19. C22×#638C22semidirect
20. C22×#638C22semidirect
27. C22×C4⋊(C3⋊D3)C22semidirect
28. C22×C4⋊(C3⋊D3)C22semidirect
29. C22×C4⋊(C3⋊D3)C22semidirect
30. C22×C4×C3⋊D3C22semidirect
31. C2×C32×C22⋊C4C22semidirect
32. C2×C32×C22⋊C4C22semidirect
33. C2×#3757C22semidirect
35. C2×#3752C22semidirect
36. C2×#3752C22semidirect
37. C2×#3752C22semidirect
38. C2×#3752C22semidirect
39. C2×#3752C22semidirect
42. C32×#95C22semidirect
43. #63658C22semidirect
49. C3×#386D3semidirect
71. C23×C3⋊D3D4semidirect
78. C2×C32×D4D4semidirect
92. C2×#638D4semidirect
108. C2×C4⋊(C3⋊D3)D4semidirect
125. C23×C3×C4C2×D3semidirect
139. C2×C3×C22⋊C4C2×D3semidirect
140. C2×C3×C22⋊C4C2×D3semidirect
150. C3×#95C2×D3semidirect
161. C23×C32C2×D4semidirect
198. C22×C3⋊D3C2×D4semidirect
199. C22×C3⋊D3C2×D4semidirect
209. C2×C32×C4C2×D4semidirect
210. C2×C32×C4C2×D4semidirect
219. C2×C3⋊Dic3C2×D4semidirect
234. #386C3⋊D3semidirect
259. C2×C3×D4D12semidirect
310. C22×C32#120semidirect
340. C2×C3⋊D3#120semidirect
363. C23×C4C2×C3⋊D3semidirect
373. C2×C22⋊C4C2×C3⋊D3semidirect
374. C2×C22⋊C4C2×C3⋊D3semidirect
376. #95C2×C3⋊D3semidirect
384. C23×C3C2×D12semidirect
434. C2×C3×C4C2×D12semidirect
435. C2×C3×C4D3×D4semidirect
507. C2×D4C4⋊(C3⋊D3)semidirect
535. C22×C3#882semidirect
571. C32#2403semidirect
616. C23C2×C4⋊(C3⋊D3)semidirect
643. C2×C4C2×C4⋊(C3⋊D3)semidirect
644. C2×C4D4×C3⋊D3semidirect
690. C22#64091semidirect
701. C3#74884semidirect

Maximal subgroups

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

subgroupindex
C22×D4×C3⋊D32
C23×C4⋊(C3⋊D3)2
C2×#641462
C2×#640912
C32×#3862
#105929122
#105926592
#105926542
#105923702
#105923642
#748843