Finite Group Databasebeta

← #481518

Subgroups — #481518

Order 512.

1184 conjugacy classes of subgroups.

The subgroup lattice has 785 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#34593C211yesmaximal, characteristic
2C2×C4×#99C211yesmaximal, characteristic, complemented
3C2×#1459C211yesmaximal, characteristic, complemented
4#11732C212yesmaximal, complemented
5#11730C212yesmaximal, complemented
6#11728C212yesmaximal, complemented
7#11726C212yesmaximal, complemented
8#11716C212yesmaximal, complemented
9#11692C212yesmaximal, complemented
10C2×#529C411yescharacteristic, complemented
11C22×C4×D4C2211yescharacteristic
12C22×#99—21no—
13C22×C22⋊C8—21no—
14#2636—21no—
15#2636—21no—
16#2633C411yescharacteristic, complemented
17#2633C2211yescharacteristic
18#2631C411yescharacteristic, complemented
19#2631C2211yescharacteristic
20#2626C411yescharacteristic, complemented
21#2626C2211yescharacteristic
22#2623—21no—
23#2617C411yescharacteristic, complemented
24#2617C2211yescharacteristic
25#2613—21no—
26#2398C411yescharacteristic, complemented
27#2398C2211yescharacteristic
28#2397C411yescharacteristic, complemented
29#2397C2211yescharacteristic
30#2392—21no—
31#2392—21no—
32C4×#120—21no—
33C4×#120—21no—
34#2283C411yescharacteristic, complemented
35C2×C4×C22⋊C4—21no—
36C4×#99—21no—
37C4×#99—21no—
38C4×#99C2212yes—
39C4×#99C2212yes—
40C2×#342C2212yes—
41#1459—21no—
42#1459—21no—
43#1459C2212yes—
44#1459C2212yes—
45C2×#324—21no—
46C2×#323C2212yes—
47#1352C2214yescomplemented
48#1351C2214yescomplemented
49#1344C2214yescomplemented
50#1343C2214yescomplemented
51C23×D4D411yescharacteristic
52C24×C4D411yescharacteristic
53C24×C4D411yescharacteristic
54C23×C8—41no—
55#529—41no—
56#529—41no—
57#529—41no—
58#529—41no—
59C2×#126—21no—
60C2×#125C2×C411yescharacteristic, complemented
61C2×#124C2×C411yescharacteristic, complemented
62C2×#123—21no—
63C2×C22⋊Q8C2×C411yescharacteristic
64C2×#121C2×C411yescharacteristic
65C2×#120—21no—
66C2×#120—21no—
67C2×C4×Q8C2×C411yescharacteristic, complemented
68C2×C4×D4—21no—
69C2×C4×D4—21no—
70C2×C4×D4—21no—
71C2×C4×D4—21no—
72C2×C4×D4—21no—
73C2×C4×D4—41no—
74C2×C4×D4—41no—
75C2×C4×D4—41no—
76C2×C4×D4—41no—
77C2×C4×D4C2×C411yescharacteristic
78C2×C4×D4C2×C411yescharacteristic
79C2×C4×D4C2×C411yescharacteristic, complemented
80C2×C4×D4D411yescharacteristic
81C2×C4×D4D411yescharacteristic
82C2×C4×D4D411yescharacteristic
83C2×C4×D4D411yescharacteristic
84C2×C4×D4C2311yescharacteristic
85C2×C4×D4C2311yescharacteristic
86C2×#117—21no—
87C22×C4⋊C4D411yescharacteristic
88C22×C22⋊C4—22no—
89C22×C22⋊C4C2×C411yescharacteristic
90C22×C22⋊C4C2311yescharacteristic
91C22×C42—41no—
92C22×C42C2×C411yescharacteristic
93C2×#99—28no—
94C2×#99—22no—
95C2×#99—22no—
96C2×C22⋊C8—22no—
97C2×C22⋊C8—22no—
98C2×C22⋊C8—22no—
99C2×C22⋊C8—41no—
100C2×C22⋊C8—41no—
101C2×C22⋊C8—41no—
102#400—21no—
103#400—21no—
104#399—21no—
105#399—21no—
106#399C2×C411yescharacteristic
107#399C2×C411yescharacteristic, complemented
108#399C2×C411yescharacteristic, complemented
109#399C2311yescharacteristic
110#398—21no—
111#398—21no—
112#397—21no—
113#397—21no—
114#397C2×C411yescharacteristic
115#397C2×C411yescharacteristic, complemented
116#397C2×C411yescharacteristic, complemented
117#397C2311yescharacteristic
118#396—21no—
119#396—21no—
120#396—21no—
121#396—21no—
122#394—21no—
123#394—21no—
124#394—21no—
125#394—21no—
126#394—21no—
127#394—21no—
128#394—21no—
129#394—21no—
130#393C2×C411yescharacteristic
131#393C2×C411yescharacteristic, complemented
132#393C2×C411yescharacteristic, complemented
133#393C2311yescharacteristic
134#392—21no—
135#392—21no—
136#392—21no—
137#392—21no—
138#392C2×C411yescharacteristic
139#392C2×C411yescharacteristic, complemented
140#392C2×C411yescharacteristic, complemented
141#392C2311yescharacteristic
142#386—21no—
143#386—21no—
144#386—21no—
145#386—21no—
146#386—21no—
147#386—21no—
148#385—21no—
149#385—21no—
150#385—21no—
151#385—21no—
152#385—21no—
153#385—21no—
154#383C2×C411yescharacteristic, complemented
155#383C2×C411yescharacteristic, complemented
156#382—21no—
157#381—21no—
158#380C2×C411yescharacteristic
159#380C2×C411yescharacteristic
160#379—21no—
161#379—21no—
162C4×C4⋊C4—21no—
163C4×C22⋊C4—21no—
164C4×C22⋊C4—21no—
165C4×C22⋊C4—21no—
166C4×C22⋊C4—21no—
167C4×C22⋊C4—21no—
168C4×C22⋊C4—22no—
169C4×C22⋊C4—22no—
170C4×C22⋊C4—41no—
171C4×C22⋊C4—41no—
172#376C2×C411yescharacteristic, complemented
173#376C2×C411yescharacteristic, complemented
174C2×#95—41no—
175#342—22no—
176#342C2314yes—
177#324—22no—
178#324—22no—
179#323—22no—
180#323C2314yes—
181C25C22⋊C411yescharacteristic
182C25C2×D411yescharacteristic
183C22×Q8C22×C411yescharacteristic
184C22×D4—24no—
185C22×D4—24no—
186C22×D4—21no—
187C22×D4—21no—
188C22×D4—21no—
189C22×D4—21no—
190C22×D4—21no—
191C22×D4—41no—
192C22×D4—41no—
193C22×D4C22⋊C411yescharacteristic
194C22×D4C22⋊C411yescharacteristic
195C22×D4C22×C411yescharacteristic
196C22×D4C2×D411yescharacteristic
197C22×D4C2×D411yescharacteristic
198C23×C4—21no—
199C23×C4—21no—
200C23×C4—21no—
201C23×C4—21no—
202C23×C4—21no—
203C23×C4—21no—
204C23×C4—21no—
205C23×C4—21no—
206C23×C4—21no—
207C23×C4—42no—
208C23×C4—82no—
209C23×C4—82no—
210C23×C4C22⋊C411yescharacteristic
211C23×C4C22⋊C411yescharacteristic
212C23×C4C22⋊C411yescharacteristic
213C23×C4C22⋊C411yescharacteristic
214C23×C4C22⋊C411yescharacteristic
215C23×C4C22⋊C411yescharacteristic
216C23×C4C22⋊C411yescharacteristic
217C23×C4C22×C411yescharacteristic
218C23×C4C2×D411yescharacteristic
219C23×C4C2×D411yescharacteristic
220C23×C4C2×D411yescharacteristic
221C23×C4C2×D411yescharacteristic
222C23×C4C2×D411yescharacteristic
223C22×C8—42no—
224C22×C8—42no—
225C22×C8—42no—
226C22×C8—84no—
227#126—42no—
228#126—42no—
229#125—41no—
230#125—41no—
231#124—41no—
232#124—41no—
233#123—42no—
234#123—42no—
235C22⋊Q8—41no—
236C22⋊Q8—41no—
237#121—41no—
238#121—41no—
239#120—44no—
240#120—44no—
241C4×Q8—41no—
242C4×Q8—41no—
243C4×D4—41no—
244C4×D4—41no—
245C4×D4—41no—
246C4×D4—41no—
247C4×D4—41no—
248C4×D4—41no—
249C4×D4—41no—
250C4×D4—41no—
251C4×D4—41no—
252C4×D4—41no—
253C4×D4—41no—
254C4×D4—41no—
255C4×D4—41no—
256C4×D4—41no—
257C4×D4—41no—
258C4×D4—41no—
259C4×D4—41no—
260C4×D4—41no—
261C4×D4—41no—
262C4×D4—41no—
263C4×D4—41no—
264C4×D4—41no—
265C4×D4—82no—
266C4×D4—82no—
267C4×D4—82no—
268C4×D4—82no—
269#117—42no—
270#117—42no—
271C2×C4⋊C4—21no—
272C2×C4⋊C4—21no—
273C2×C4⋊C4—21no—
274C2×C4⋊C4—21no—
275C2×C4⋊C4—21no—
276C2×C4⋊C4—21no—
277C2×C4⋊C4—21no—
278C2×C4⋊C4—21no—
279C2×C4⋊C4—21no—
280C2×C4⋊C4—21no—
281C2×C4⋊C4—41no—
282C2×C4⋊C4—41no—
283C2×C4⋊C4C22⋊C411yescharacteristic
284C2×C4⋊C4C22⋊C411yescharacteristic
285C2×C4⋊C4C22×C411yescharacteristic
286C2×C4⋊C4C22×C411yescharacteristic
287C2×C4⋊C4C2×D411yescharacteristic
288C2×C4⋊C4C2×D411yescharacteristic
289C2×C22⋊C4—28no—
290C2×C22⋊C4—24no—
291C2×C22⋊C4—21no—
292C2×C22⋊C4—21no—
293C2×C22⋊C4—21no—
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—21no—
301C2×C22⋊C4—21no—
302C2×C22⋊C4—21no—
303C2×C22⋊C4—21no—
304C2×C22⋊C4—21no—
305C2×C22⋊C4—21no—
306C2×C22⋊C4—21no—
307C2×C22⋊C4—21no—
308C2×C22⋊C4—21no—
309C2×C22⋊C4—21no—
310C2×C22⋊C4—21no—
311C2×C22⋊C4—21no—
312C2×C22⋊C4—21no—
313C2×C22⋊C4—21no—
314C2×C22⋊C4—41no—
315C2×C22⋊C4—41no—
316C2×C22⋊C4—41no—
317C2×C22⋊C4—41no—
318C2×C22⋊C4—42no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4C22⋊C411yescharacteristic
321C2×C22⋊C4C22⋊C411yescharacteristic
322C2×C22⋊C4C22×C411yescharacteristic
323C2×C22⋊C4C22×C411yescharacteristic
324C2×C22⋊C4C22×C411yescharacteristic
325C2×C22⋊C4C2×D411yescharacteristic
326C2×C22⋊C4C2×D411yescharacteristic
327C2×C22⋊C4C2411yescharacteristic
328C2×C42—21no—
329C2×C42—21no—
330C2×C42—21no—
331C2×C42—21no—
332C2×C42—21no—
333C2×C42—21no—
334C2×C42—21no—
335C2×C42—42no—
336C2×C42—42no—
337C2×C42—84no—
338C2×C42C22⋊C411yescharacteristic
339C2×C42C22⋊C411yescharacteristic
340C2×C42C22×C411yescharacteristic
341C2×C42C22×C411yescharacteristic
342#99—28no—
343#99—28no—
344C22⋊C8—24no—
345C22⋊C8—42no—
346C22⋊C8—42no—
347C22⋊C8—42no—
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—21no—
361#95—21no—
362#95—42no—
363#95—42no—
364#95C22×C411yescharacteristic
365#95C22×C411yescharacteristic
366#95C22×C411yescharacteristic
367#95C22×C411yescharacteristic
368C24—21no—
369C24—21no—
370C24—21no—
371C24—21no—
372C24—22no—
373C24—22no—
374C24—21no—
375C24—81no—
376C24—81no—
377C24—81no—
378C24—81no—
379C24#10414yes—
380C24C2×C22⋊C411yescharacteristic
381C24C2×C22⋊C411yescharacteristic
382C24C2×C22⋊C411yescharacteristic
383C24C2×C22⋊C411yescharacteristic
384C24#13514yes—
385C24C22×D411yescharacteristic
386C2×Q8—41no—
387C2×Q8—81no—
388C2×D4—22no—
389C2×D4—22no—
390C2×D4—22no—
391C2×D4—22no—
392C2×D4—22no—
393C2×D4—22no—
394C2×D4—22no—
395C2×D4—22no—
396C2×D4—41no—
397C2×D4—41no—
398C2×D4—41no—
399C2×D4—41no—
400C2×D4—41no—
401C2×D4—48no—
402C2×D4—48no—
403C2×D4—42no—
404C2×D4—41no—
405C2×D4—41no—
406C2×D4—42no—
407C2×D4—42no—
408C2×D4—42no—
409C2×D4—42no—
410C2×D4—42no—
411C2×D4—81no—
412C2×D4—81no—
413C2×D4—81no—
414C2×D4—81no—
415C2×D4—81no—
416C2×D4—81no—
417C2×D4—81no—
418C2×D4—81no—
419C2×D4—81no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—42no—
454C22×C4—44no—
455C22×C4—44no—
456C22×C4—42no—
457C22×C4—42no—
458C22×C4—42no—
459C22×C4—42no—
460C22×C4—42no—
461C22×C4—42no—
462C22×C4—44no—
463C22×C4—48no—
464C22×C4—41no—
465C22×C4—41no—
466C22×C4—82no—
467C22×C4—82no—
468C22×C4—81no—
469C22×C4—81no—
470C22×C4—81no—
471C22×C4—81no—
472C22×C4—81no—
473C22×C4—81no—
474C22×C4—82no—
475C22×C4—82no—
476C22×C4—82no—
477C22×C4—82no—
478C22×C4—81no—
479C22×C4—84no—
480C22×C4—84no—
481C22×C4#9911yescharacteristic
482C22×C4#9911yescharacteristic
483C22×C4#9911yescharacteristic
484C22×C4#9911yescharacteristic
485C22×C4C2×C22⋊C411yescharacteristic
486C22×C4C2×C22⋊C411yescharacteristic
487C22×C4C2×C22⋊C411yescharacteristic
488C22×C4C2×C22⋊C411yescharacteristic
489C22×C4C2×C22⋊C411yescharacteristic
490C22×C4C2×C22⋊C411yescharacteristic
491C22×C4C2×C22⋊C411yescharacteristic
492C22×C4C2×C22⋊C411yescharacteristic
493C22×C4C23×C411yescharacteristic
494C22×C4C22×D411yescharacteristic
495C2×C8—44no—
496C2×C8—84no—
497C2×C8—84no—
498C2×C8—84no—
499C4⋊C4—41no—
500C4⋊C4—41no—
501C4⋊C4—41no—
502C4⋊C4—41no—
503C4⋊C4—41no—
504C4⋊C4—41no—
505C4⋊C4—42no—
506C4⋊C4—42no—
507C4⋊C4—42no—
508C4⋊C4—41no—
509C4⋊C4—41no—
510C4⋊C4—81no—
511C4⋊C4—81no—
512C4⋊C4—81no—
513C4⋊C4—81no—
514C4⋊C4—81no—
515C4⋊C4—81no—
516C22⋊C4—28no—
517C22⋊C4—41no—
518C22⋊C4—41no—
519C22⋊C4—41no—
520C22⋊C4—41no—
521C22⋊C4—41no—
522C22⋊C4—41no—
523C22⋊C4—41no—
524C22⋊C4—41no—
525C22⋊C4—42no—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—48no—
529C22⋊C4—44no—
530C22⋊C4—42no—
531C22⋊C4—41no—
532C22⋊C4—41no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—41no—
539C22⋊C4—41no—
540C22⋊C4—81no—
541C22⋊C4—81no—
542C22⋊C4—81no—
543C22⋊C4—81no—
544C22⋊C4—81no—
545C22⋊C4—81no—
546C22⋊C4—81no—
547C22⋊C4—81no—
548C22⋊C4—81no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C42—21no—
553C42—21no—
554C42—21no—
555C42—21no—
556C42—21no—
557C42—21no—
558C42—21no—
559C42—21no—
560C42—42no—
561C42—42no—
562C42—41no—
563C42—41no—
564C42—84no—
565C42—84no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—24no—
571C23—24no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—24no—
577C23—24no—
578C23—41no—
579C23—41no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—81no—
600C23—81no—
601C23—81no—
602C23—81no—
603C23—84no—
604C23—84no—
605C23—84no—
606C23—84no—
607C23C2×#9911yescharacteristic
608C23C2×#9911yescharacteristic
609C23#41612yes—
610C23#41612yes—
611C23C2×#10412yes—
612C23C2×#10412yes—
613C23C2×#10412yes—
614C23C22×C22⋊C411yescharacteristic
615C23C2×#13512yes—
616Q8—82no—
617D4—44no—
618D4—44no—
619D4—44no—
620D4—44no—
621D4—82no—
622D4—84no—
623D4—84no—
624D4—84no—
625D4—84no—
626D4—82no—
627D4—82no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—41no—
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—48no—
669C2×C4—41no—
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—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—81no—
687C2×C4—81no—
688C2×C4—81no—
689C2×C4—81no—
690C2×C4—81no—
691C2×C4—81no—
692C2×C4—81no—
693C2×C4—81no—
694C2×C4—82no—
695C2×C4—81no—
696C2×C4—81no—
697C2×C4—81no—
698C2×C4—81no—
699C2×C4—84no—
700C2×C4—816no—
701C2×C4—84no—
702C2×C4—82no—
703C2×C4C2×#9911yescharacteristic
704C2×C4C2×#9911yescharacteristic
705C2×C4C2×#9911yescharacteristic
706C2×C4C2×#9911yescharacteristic
707C8—84no—
708C22—21no—
709C22—21no—
710C22—21no—
711C22—21no—
712C22—21no—
713C22—21no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—48no—
725C22—48no—
726C22—41no—
727C22—41no—
728C22—41no—
729C22—41no—
730C22—41no—
731C22—41no—
732C22—41no—
733C22—41no—
734C22—81no—
735C22—81no—
736C22—81no—
737C22—81no—
738C22—84no—
739C22—84no—
740C22—81no—
741C22—81no—
742C22—81no—
743C22—81no—
744C22—81no—
745C22—81no—
746C22—81no—
747C22#150112yes—
748C22#150112yes—
749C22C22×#9911yescharacteristic
750C22C2×#41611yescharacteristic
751C22C22×#10411yescharacteristic
752C4—21no—
753C4—21no—
754C4—21no—
755C4—41no—
756C4—41no—
757C4—41no—
758C4—41no—
759C4—41no—
760C4—41no—
761C4—41no—
762C4—41no—
763C4—81no—
764C4—81no—
765C4—81no—
766C4—81no—
767C4—88no—
768C4—81no—
769C4—81no—
770C4—81no—
771C4#212712yes—
772C2—21no—
773C2—21no—
774C2—22no—
775C2—22no—
776C2—42no—
777C2—42no—
778C2—42no—
779C2—42no—
780C2—161no—
781C2C2×#150111yescharacteristic
782C2#3334711yescharacteristic
783C2C2×#212711yescharacteristic
subgroupG/H
centerC2×C4C2×#99
commutatorC22×C4C23×C4
Frattini, cosocleC2×C22⋊C4C24
socleC22C22×#99
prime radical#34593C2
LCSG ▷ C22×C4 ▷ C23 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C22×C4×D4 ◁ G
LECSG ▷ C2×C22⋊C4 ▷ C23 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×C4×#99C2semidirect
3. C2×#1459C2semidirect
4. #11732C2semidirect
5. #11730C2semidirect
6. #11728C2semidirect
7. #11726C2semidirect
8. #11716C2semidirect
9. #11692C2semidirect
10. C2×#529C4semidirect
16. #2633C4semidirect
18. #2631C4semidirect
20. #2626C4semidirect
23. #2617C4semidirect
26. #2398C4semidirect
28. #2397C4semidirect
34. #2283C4semidirect
47. #1352C22semidirect
48. #1351C22semidirect
49. #1344C22semidirect
50. #1343C22semidirect
60. C2×#125C2×C4semidirect
61. C2×#124C2×C4semidirect
67. C2×C4×Q8C2×C4semidirect
79. C2×C4×D4C2×C4semidirect
107. #399C2×C4semidirect
108. #399C2×C4semidirect
115. #397C2×C4semidirect
116. #397C2×C4semidirect
131. #393C2×C4semidirect
132. #393C2×C4semidirect
139. #392C2×C4semidirect
140. #392C2×C4semidirect
154. #383C2×C4semidirect
155. #383C2×C4semidirect
172. #376C2×C4semidirect
173. #376C2×C4semidirect

Maximal subgroups

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

subgroupindex
#345932
C2×C4×#992
C2×#14592
#117322
#117302
#117282
#117262
#117162
#116922