Finite Group Databasebeta

← #493702

Subgroups — #493702

Order 512.

1365 conjugacy classes of subgroups.

The subgroup lattice has 784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#34264C211yesmaximal, characteristic
2C2×#2121C212yesmaximal
3#20638C211yesmaximal, characteristic, complemented
4#20633C211yesmaximal, characteristic, complemented
5#12796C212yesmaximal, complemented
6#12795C212yesmaximal, complemented
7#12794C212yesmaximal, complemented
8#12793C212yesmaximal, complemented
9C2×#1390C212yesmaximal, complemented
10C2×#534C2211yescharacteristic
11C2×#518C2211yescharacteristic
12C22×C4×D4C411yescharacteristic, complemented
13#2905—21no—
14C22×#100C2212yes—
15C22×#99C2212yes—
16#2364—21no—
17#2364—21no—
18#2361—21no—
19#2361—21no—
20#2359—21no—
21#2359—21no—
22#2358—21no—
23#2358—21no—
24#2322C411yescharacteristic, complemented
25#2322C2211yescharacteristic
26#2321C411yescharacteristic, complemented
27#2321C2211yescharacteristic
28#2315—21no—
29#2308C411yescharacteristic, complemented
30C4×#123C411yescharacteristic, complemented
31C4×#123C2211yescharacteristic
32C4×#120C411yescharacteristic, complemented
33C4×#120C2211yescharacteristic
34C2×#386C2211yescharacteristic
35C2×#385C411yescharacteristic, complemented
36#2273C411yescharacteristic, complemented
37#2121—28no—
38C2×#352C2214yes—
39C2×AΣL(1,𝔽16)C2214yes—
40#1800—21no—
41#1800—21no—
42#1800C2212yes—
43#1800C2212yes—
44#1799—21no—
45#1799—21no—
46#1799C2212yes—
47#1799C2212yes—
48#1742—21no—
49C2×#342—21no—
50#1390C2214yes—
51#1390C2214yes—
52C23×D4C2×C411yescharacteristic
53C23×D4C2311yescharacteristic
54C24×C4C2×C411yescharacteristic
55C24×C4C2×C411yescharacteristic, complemented
56C22×M16—22no—
57#534—22no—
58#534—22no—
59#534D414yes—
60#534Q814yes—
61C2×#123—21no—
62C2×#123C2×C411yescharacteristic
63C2×#123C2311yescharacteristic
64C2×#121—21no—
65C2×#121—21no—
66C2×#120—21no—
67C2×#120C2×C411yescharacteristic
68C2×#120C2311yescharacteristic
69#518—44no—
70C2×C4×D4—21no—
71C2×C4×D4—21no—
72C2×C4×D4—21no—
73C2×C4×D4—21no—
74C2×C4×D4—21no—
75C2×C4×D4—21no—
76C2×C4×D4—44no—
77C2×C4×D4C2×C411yescharacteristic
78C2×C4×D4C2×C411yescharacteristic
79C2×C4×D4D411yescharacteristic
80C2×C4×D4D411yescharacteristic
81C2×C4×D4D411yescharacteristic
82C2×C4×D4D411yescharacteristic
83C2×C4×D4C2311yescharacteristic
84C2×C4×D4C2311yescharacteristic
85C2×#117D411yescharacteristic
86C2×#117D411yescharacteristic
87C22×C4⋊C4—21no—
88C22×C4⋊C4C2×C411yescharacteristic, complemented
89C22×C22⋊C4—21no—
90C22×C22⋊C4—22no—
91C22×C22⋊C4C2×C411yescharacteristic
92C22×C22⋊C4C2×C411yescharacteristic
93C22×C22⋊C4C2×C411yescharacteristic
94C22×C22⋊C4C2×C411yescharacteristic
95C22×C22⋊C4C2×C411yescharacteristic, complemented
96C22×C22⋊C4D411yescharacteristic
97C22×C22⋊C4D411yescharacteristic
98C22×C42C2×C411yescharacteristic, complemented
99#424—44no—
100#423—22no—
101#423—22no—
102C2×#100—24no—
103C2×#100—24no—
104C2×#100—22no—
105C2×#100C2314yes—
106C2×#99—24no—
107C2×#99—24no—
108C2×#99—22no—
109C2×#99C2314yes—
110#390—21no—
111#390—21no—
112#389—21no—
113#389—21no—
114#388—21no—
115#388—21no—
116#388—21no—
117#388—21no—
118#388—21no—
119#388—21no—
120#388—21no—
121#388—21no—
122#387—21no—
123#387—21no—
124#387—21no—
125#387—21no—
126#386—21no—
127#386—21no—
128#386—21no—
129#386—21no—
130#386—21no—
131#386—21no—
132#386—21no—
133#386—21no—
134#386—21no—
135#386—21no—
136#386C2×C411yescharacteristic
137#386C2×C411yescharacteristic
138#386C2311yescharacteristic
139#386C2311yescharacteristic
140#385—21no—
141#385—21no—
142#385—21no—
143#385—21no—
144#385—21no—
145#385—21no—
146#385—44no—
147#385C2×C411yescharacteristic, complemented
148#385C2×C411yescharacteristic, complemented
149#385C2×C411yescharacteristic, complemented
150#385C2×C411yescharacteristic, complemented
151#381C2×C411yescharacteristic, complemented
152#381C2×C411yescharacteristic, complemented
153#380—22no—
154#380—22no—
155#379C2×C411yescharacteristic, complemented
156#379C2×C411yescharacteristic, complemented
157C4×C4⋊C4—21no—
158C4×C4⋊C4—21no—
159C4×C22⋊C4—21no—
160C4×C22⋊C4—21no—
161C4×C22⋊C4—21no—
162C4×C22⋊C4—21no—
163C4×C22⋊C4—21no—
164C4×C22⋊C4—21no—
165C4×C22⋊C4—21no—
166C4×C22⋊C4—21no—
167C4×C22⋊C4C2×C411yescharacteristic, complemented
168C4×C22⋊C4C2×C411yescharacteristic, complemented
169C4×C22⋊C4C2×C411yescharacteristic, complemented
170C4×C22⋊C4C2×C411yescharacteristic, complemented
171C2×#95—21no—
172C2×#95—21no—
173#352—28no—
174AΣL(1,𝔽16)—28no—
175#343—22no—
176#343—22no—
177#342—22no—
178#342—22no—
179C25C22×C411yescharacteristic
180C25C22×C411yescharacteristic
181C25C2×D411yescharacteristic
182C22×D4—21no—
183C22×D4—21no—
184C22×D4—22no—
185C22×D4—21no—
186C22×D4—21no—
187C22×D4—42no—
188C22×D4—42no—
189C22×D4—42no—
190C22×D4—42no—
191C22×D4C4⋊C414yescomplemented
192C22×D4C22×C411yescharacteristic
193C22×D4C2×D411yescharacteristic
194C22×D4C2×D412yes—
195C22×D4C2×D411yescharacteristic
196C22×D4C2×Q812yes—
197C22×D4#4112yes—
198C22×D4#4112yes—
199C22×D4C2411yescharacteristic
200C23×C4—21no—
201C23×C4—21no—
202C23×C4—21no—
203C23×C4—21no—
204C23×C4—21no—
205C23×C4—21no—
206C23×C4—42no—
207C23×C4—42no—
208C23×C4—42no—
209C23×C4—82no—
210C23×C4—82no—
211C23×C4C22⋊C411yescharacteristic
212C23×C4C22⋊C411yescharacteristic
213C23×C4C22⋊C411yescharacteristic
214C23×C4C22⋊C411yescharacteristic
215C23×C4C22×C411yescharacteristic
216C23×C4C22×C411yescharacteristic
217C23×C4C22×C411yescharacteristic
218C23×C4C22×C411yescharacteristic
219C23×C4C22×C411yescharacteristic
220C23×C4C2×D411yescharacteristic
221C23×C4C2×D411yescharacteristic
222C23×C4C2×D411yescharacteristic
223C2×M16—24no—
224C2×M16—42no—
225C2×M16—44no—
226C2×M16—44no—
227C22×C8—42no—
228#123—22no—
229#123—21no—
230#123—21no—
231#123—24no—
232#123—24no—
233#123C4⋊C414yescomplemented
234#123C2×D412yes—
235#123C2×Q812yes—
236#121—24no—
237#121—24no—
238#121—24no—
239#121—24no—
240#120—24no—
241#120—24no—
242#120—22no—
243#120—21no—
244#120—21no—
245#120C4⋊C414yescomplemented
246#120C2×D412yes—
247#120C2×Q812yes—
248C4×D4—42no—
249C4×D4—42no—
250C4×D4—42no—
251C4×D4—42no—
252C4×D4—42no—
253C4×D4—42no—
254C4×D4—42no—
255C4×D4—42no—
256C4×D4—44no—
257C4×D4—44no—
258C4×D4—44no—
259C4×D4—44no—
260C4×D4—82no—
261C4×D4—82no—
262#117—24no—
263#117—42no—
264C2×C4⋊C4—21no—
265C2×C4⋊C4—21no—
266C2×C4⋊C4—21no—
267C2×C4⋊C4—21no—
268C2×C4⋊C4—21no—
269C2×C4⋊C4—21no—
270C2×C4⋊C4—21no—
271C2×C4⋊C4—21no—
272C2×C4⋊C4—42no—
273C2×C4⋊C4—42no—
274C2×C4⋊C4—42no—
275C2×C4⋊C4—82no—
276C2×C4⋊C4C22⋊C411yescharacteristic
277C2×C4⋊C4C22⋊C411yescharacteristic
278C2×C4⋊C4C2×D411yescharacteristic
279C2×C4⋊C4C2×D411yescharacteristic
280C2×C22⋊C4—21no—
281C2×C22⋊C4—21no—
282C2×C22⋊C4—22no—
283C2×C22⋊C4—21no—
284C2×C22⋊C4—21no—
285C2×C22⋊C4—21no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—21no—
289C2×C22⋊C4—21no—
290C2×C22⋊C4—21no—
291C2×C22⋊C4—21no—
292C2×C22⋊C4—21no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—21no—
295C2×C22⋊C4—21no—
296C2×C22⋊C4—21no—
297C2×C22⋊C4—21no—
298C2×C22⋊C4—21no—
299C2×C22⋊C4—21no—
300C2×C22⋊C4—42no—
301C2×C22⋊C4—42no—
302C2×C22⋊C4—42no—
303C2×C22⋊C4—42no—
304C2×C22⋊C4—44no—
305C2×C22⋊C4—44no—
306C2×C22⋊C4—42no—
307C2×C22⋊C4—82no—
308C2×C22⋊C4C22⋊C411yescharacteristic
309C2×C22⋊C4C22⋊C411yescharacteristic
310C2×C22⋊C4C22⋊C411yescharacteristic
311C2×C22⋊C4C22⋊C411yescharacteristic
312C2×C22⋊C4C22⋊C411yescharacteristic
313C2×C22⋊C4C22⋊C411yescharacteristic
314C2×C22⋊C4C22⋊C411yescharacteristic
315C2×C22⋊C4C22⋊C411yescharacteristic
316C2×C22⋊C4C4⋊C414yescomplemented
317C2×C22⋊C4C22×C411yescharacteristic
318C2×C22⋊C4C22×C411yescharacteristic
319C2×C22⋊C4C22×C411yescharacteristic
320C2×C22⋊C4C22×C411yescharacteristic
321C2×C22⋊C4C22×C411yescharacteristic
322C2×C22⋊C4C22×C411yescharacteristic
323C2×C22⋊C4C2×D411yescharacteristic
324C2×C22⋊C4C2×D411yescharacteristic
325C2×C42—21no—
326C2×C42—21no—
327C2×C42—21no—
328C2×C42—21no—
329C2×C42—21no—
330C2×C42—21no—
331C2×C42—42no—
332C2×C42C22⋊C411yescharacteristic
333C2×C42C22⋊C411yescharacteristic
334C2×C42C2×D411yescharacteristic
335C2×C42C2×D411yescharacteristic
336C4⋊C8—44no—
337C4⋊C8—44no—
338#100—24no—
339#100—24no—
340#100—44no—
341#99—24no—
342#99—24no—
343#99—44no—
344#95—21no—
345#95—21no—
346#95—21no—
347#95—21no—
348#95—21no—
349#95—21no—
350#95—21no—
351#95—21no—
352#95—21no—
353#95—21no—
354#95—21no—
355#95—21no—
356#95—21no—
357#95—21no—
358#95—21no—
359#95—21no—
360#95—42no—
361#95—42no—
362C24—22no—
363C24—22no—
364C24—22no—
365C24—22no—
366C24—21no—
367C24—21no—
368C24—41no—
369C24—41no—
370C24—81no—
371C24—81no—
372C24—81no—
373C24—81no—
374C24—81no—
375C24—81no—
376C24C2×C22⋊C411yescharacteristic
377C24C2×C22⋊C411yescharacteristic
378C24C2×C22⋊C411yescharacteristic
379C24C2×C4⋊C412yes—
380C24C2×C4⋊C412yes—
381C24#11712yes—
382C24#12112yes—
383C24C22⋊Q812yes—
384C24C23×C411yescharacteristic
385C24C22×D411yescharacteristic
386C2×D4—24no—
387C2×D4—24no—
388C2×D4—22no—
389C2×D4—22no—
390C2×D4—24no—
391C2×D4—41no—
392C2×D4—41no—
393C2×D4—41no—
394C2×D4—41no—
395C2×D4—41no—
396C2×D4—44no—
397C2×D4—41no—
398C2×D4—41no—
399C2×D4—44no—
400C2×D4—44no—
401C2×D4—44no—
402C2×D4—41no—
403C2×D4—42no—
404C2×D4—48no—
405C2×D4—42no—
406C2×D4—42no—
407C2×D4—42no—
408C2×D4—48no—
409C2×D4—81no—
410C2×D4—81no—
411C2×D4—81no—
412C2×D4—81no—
413C2×D4C2×C4⋊C412yes—
414C2×D4#11712yes—
415C2×D4#12112yes—
416C2×D4#12112yes—
417C2×D4C22⋊Q812yes—
418C2×D4C22⋊Q812yes—
419C2×D4C22×D411yescharacteristic
420C2×D4C22×Q811yescharacteristic
421C2×D4C2×#4111yescharacteristic
422C2×D4C2×#4111yescharacteristic
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—24no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—41no—
439C22×C4—41no—
440C22×C4—41no—
441C22×C4—41no—
442C22×C4—42no—
443C22×C4—42no—
444C22×C4—42no—
445C22×C4—42no—
446C22×C4—42no—
447C22×C4—42no—
448C22×C4—41no—
449C22×C4—41no—
450C22×C4—41no—
451C22×C4—42no—
452C22×C4—42no—
453C22×C4—42no—
454C22×C4—42no—
455C22×C4—41no—
456C22×C4—44no—
457C22×C4—81no—
458C22×C4—81no—
459C22×C4—81no—
460C22×C4—81no—
461C22×C4—81no—
462C22×C4—81no—
463C22×C4—81no—
464C22×C4—81no—
465C22×C4—81no—
466C22×C4—81no—
467C22×C4—81no—
468C22×C4—81no—
469C22×C4—81no—
470C22×C4—81no—
471C22×C4—81no—
472C22×C4—81no—
473C22×C4—81no—
474C22×C4—84no—
475C22×C4—84no—
476C22×C4—84no—
477C22×C4—84no—
478C22×C4—84no—
479C22×C4—162no—
480C22×C4—162no—
481C22×C4C2×C22⋊C411yescharacteristic
482C22×C4C2×C22⋊C411yescharacteristic
483C22×C4C2×C22⋊C411yescharacteristic
484C22×C4C2×C22⋊C411yescharacteristic
485C22×C4C2×C22⋊C411yescharacteristic
486C22×C4C2×C22⋊C411yescharacteristic
487C22×C4C2×C22⋊C411yescharacteristic
488C22×C4C2×C22⋊C411yescharacteristic
489C22×C4C2×C22⋊C411yescharacteristic
490C22×C4C2×C4⋊C412yes—
491C22×C4#12112yes—
492C22×C4C22⋊Q812yes—
493C22×C4C22×D411yescharacteristic
494M16—44no—
495M16—44no—
496M16—84no—
497C2×C8—44no—
498C2×C8—84no—
499C4⋊C4—22no—
500C4⋊C4—22no—
501C4⋊C4—24no—
502C4⋊C4—22no—
503C4⋊C4—22no—
504C4⋊C4—41no—
505C4⋊C4—41no—
506C4⋊C4—42no—
507C4⋊C4—42no—
508C4⋊C4—42no—
509C4⋊C4—42no—
510C4⋊C4—81no—
511C4⋊C4—81no—
512C4⋊C4—162no—
513C4⋊C4—162no—
514C22⋊C4—21no—
515C22⋊C4—21no—
516C22⋊C4—22no—
517C22⋊C4—22no—
518C22⋊C4—24no—
519C22⋊C4—24no—
520C22⋊C4—22no—
521C22⋊C4—22no—
522C22⋊C4—22no—
523C22⋊C4—22no—
524C22⋊C4—22no—
525C22⋊C4—24no—
526C22⋊C4—22no—
527C22⋊C4—22no—
528C22⋊C4—22no—
529C22⋊C4—22no—
530C22⋊C4—41no—
531C22⋊C4—41no—
532C22⋊C4—41no—
533C22⋊C4—41no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—41no—
540C22⋊C4—41no—
541C22⋊C4—44no—
542C22⋊C4—44no—
543C22⋊C4—81no—
544C22⋊C4—81no—
545C22⋊C4—81no—
546C22⋊C4—81no—
547C22⋊C4—81no—
548C22⋊C4—81no—
549C22⋊C4—84no—
550C22⋊C4#9914yes—
551C22⋊C4C2×C4⋊C412yes—
552C22⋊C4C2×C4⋊C412yes—
553C42—22no—
554C42—22no—
555C42—41no—
556C42—41no—
557C42—42no—
558C42—42no—
559C42—81no—
560C42—81no—
561C42—81no—
562C42—81no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—21no—
574C23—21no—
575C23—22no—
576C23—41no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—42no—
591C23—42no—
592C23—41no—
593C23—41no—
594C23—82no—
595C23—82no—
596C23—82no—
597C23—82no—
598C23—82no—
599C23—82no—
600C23—82no—
601C23—82no—
602C23—82no—
603C23—84no—
604C23—82no—
605C23—82no—
606C23—82no—
607C23—84no—
608C23—162no—
609C23#38012yes—
610C23#38012yes—
611C23#38012yes—
612C23C2×#9912yes—
613C23#41012yes—
614C23C22×C22⋊C411yescharacteristic
615C23C22×C4⋊C411yescharacteristic
616C23C2×#11711yescharacteristic
617C23C2×#12111yescharacteristic
618C23C2×C22⋊Q811yescharacteristic
619D4—42no—
620D4—42no—
621D4—42no—
622D4—42no—
623D4—42no—
624D4—42no—
625D4—41no—
626D4—41no—
627D4—41no—
628D4—41no—
629D4—48no—
630D4—48no—
631D4—82no—
632D4—82no—
633D4—84no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—82no—
680C2×C4—82no—
681C2×C4—82no—
682C2×C4—82no—
683C2×C4—84no—
684C2×C4—84no—
685C2×C4—84no—
686C2×C4—84no—
687C2×C4—84no—
688C2×C4—82no—
689C2×C4—84no—
690C2×C4—84no—
691C2×C4—84no—
692C2×C4—161no—
693C2×C4—161no—
694C2×C4—161no—
695C2×C4—161no—
696C2×C4—162no—
697C2×C4—168no—
698C2×C4#38012yes—
699C2×C4C2×#9912yes—
700C2×C4C2×#9912yes—
701C2×C4C2×#12111yescharacteristic
702C2×C4C2×C22⋊Q811yescharacteristic
703C8—84no—
704C22—21no—
705C22—22no—
706C22—21no—
707C22—22no—
708C22—21no—
709C22—21no—
710C22—21no—
711C22—22no—
712C22—21no—
713C22—22no—
714C22—42no—
715C22—42no—
716C22—42no—
717C22—41no—
718C22—41no—
719C22—42no—
720C22—41no—
721C22—41no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—42no—
726C22—41no—
727C22—41no—
728C22—41no—
729C22—41no—
730C22—41no—
731C22—41no—
732C22—41no—
733C22—41no—
734C22—42no—
735C22—84no—
736C22—81no—
737C22—81no—
738C22—84no—
739C22—84no—
740C22—84no—
741C22—81no—
742C22—81no—
743C22—84no—
744C22—84no—
745C22—81no—
746C22—81no—
747C22#179914yes—
748C22C2×#38011yescharacteristic
749C22C22×#9911yescharacteristic
750C22C2×#41011yescharacteristic
751C4—22no—
752C4—22no—
753C4—21no—
754C4—21no—
755C4—22no—
756C4—42no—
757C4—42no—
758C4—42no—
759C4—41no—
760C4—41no—
761C4—41no—
762C4—41no—
763C4—41no—
764C4—41no—
765C4—42no—
766C4—81no—
767C4—81no—
768C4—81no—
769C4—164no—
770C2—21no—
771C2—21no—
772C2—24no—
773C2—41no—
774C2—42no—
775C2—41no—
776C2—41no—
777C2—41no—
778C2—42no—
779C2—82no—
780C2C2×#179911yescharacteristic
781C2#3334811yescharacteristic
782C2#3335011yescharacteristic
subgroupG/H
center, socleC22C22×#99
commutatorC24C23×C4
Frattini, cosocleC22×D4C24
prime radicalC2×#534C22
LCSG ▷ C24 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C2×C22⋊C4 ◁ C2×#518 ◁ G
LECSG ▷ C22×D4 ▷ C22 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #20638C2semidirect
4. #20633C2semidirect
5. #12796C2semidirect
6. #12795C2semidirect
7. #12794C2semidirect
8. #12793C2semidirect
9. C2×#1390C2semidirect
12. C22×C4×D4C4semidirect
24. #2322C4semidirect
26. #2321C4semidirect
29. #2308C4semidirect
30. C4×#123C4semidirect
32. C4×#120C4semidirect
35. C2×#385C4semidirect
36. #2273C4semidirect
55. C24×C4C2×C4semidirect
88. C22×C4⋊C4C2×C4semidirect
95. C22×C22⋊C4C2×C4semidirect
98. C22×C42C2×C4semidirect
147. #385C2×C4semidirect
148. #385C2×C4semidirect
149. #385C2×C4semidirect
150. #385C2×C4semidirect
151. #381C2×C4semidirect
152. #381C2×C4semidirect
155. #379C2×C4semidirect
156. #379C2×C4semidirect
167. C4×C22⋊C4C2×C4semidirect
168. C4×C22⋊C4C2×C4semidirect
169. C4×C22⋊C4C2×C4semidirect
170. C4×C22⋊C4C2×C4semidirect
191. C22×D4C4⋊C4semidirect
233. #123C4⋊C4semidirect
245. #120C4⋊C4semidirect
316. C2×C22⋊C4C4⋊C4semidirect

Maximal subgroups

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

subgroupindex
#342642
C2×#21212
#206382
#206332
#127962
#127952
#127942
#127932
C2×#13902