Finite Group Databasebeta

← #6374578

Subgroups — #6374578

Order 512.

3454 conjugacy classes of subgroups.

The subgroup lattice has 1420 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3444C211yesmaximal, characteristic
2#34012C211yesmaximal, characteristic, complemented
3C2×#2283C211yesmaximal, characteristic, complemented
4#21875C214yesmaximal, complemented
5#21874C214yesmaximal, complemented
6#21826C212yesmaximal, complemented
7#21794C212yesmaximal, complemented
8#21748C214yesmaximal, complemented
9#21421C214yesmaximal, complemented
10#21420C214yesmaximal, complemented
11#20723C214yesmaximal, complemented
12#3444—21no—
13#3444—21no—
14#3444—21no—
15#3444—21no—
16#3444—21no—
17#3444—21no—
18#3444—21no—
19#3444—21no—
20#3444—21no—
21#3444—21no—
22#3444—21no—
23#3444—21no—
24#3444—21no—
25#3444—21no—
26#3444—21no—
27#3444—21no—
28C2×#533C411yescharacteristic, complemented
29C2×#533C411yescharacteristic, complemented
30C2×#533C2211yescharacteristic
31C2×#532C411yescharacteristic, complemented
32C2×#532C411yescharacteristic, complemented
33C2×#532C2211yescharacteristic
34C2×#529C412yescomplemented
35C2×#529C412yescomplemented
36C2×#529C412yescomplemented
37C2×#529C412yescomplemented
38C2×#529C2212yes—
39C2×#529C2212yes—
40C2×#525C2212yes—
41C2×#525C2212yes—
42C2×#525C2212yes—
43C2×C4×#41C412yescomplemented
44C2×C4×#41C412yescomplemented
45C2×C4×#41C2212yes—
46C23×C42C2211yescharacteristic
47#2285—21no—
48#2285—21no—
49#2285C2212yes—
50#2283—21no—
51#2283—21no—
52#2283—21no—
53#2283—21no—
54#2283—21no—
55#2283—21no—
56#2283—21no—
57#2283—21no—
58#2283C2212yes—
59#2283C2212yes—
60#2283C2212yes—
61#2283C2212yes—
62#2283C2212yes—
63#2283C2212yes—
64C2×#383—21no—
65C2×#382—21no—
66#2280C2212yes—
67#2280C2212yes—
68#2280C2212yes—
69C2×#381C2212yes—
70C2×#380C2212yes—
71C4×#117—21no—
72C4×#117—21no—
73C4×#117C2212yes—
74C2×C4×C4⋊C4—21no—
75C2×C4×C22⋊C4C2212yes—
76C2×#376—21no—
77#1996C2218yes—
78#1996C2218yes—
79#1964C2218yes—
80#1964C2218yes—
81#1899C22116yes—
82#1898C22116yes—
83#1820C2218yes—
84#1799C22116yes—
85#1782C2218yes—
86C4×#99C22116yes—
87C22×#41C2×C412yes—
88C22×#41C2×C412yes—
89C22×#41C2312yes—
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93#533—21no—
94#533—21no—
95#533—21no—
96#533—21no—
97#533—21no—
98#533—21no—
99#533—21no—
100#533—21no—
101#533—21no—
102#533—21no—
103#533—21no—
104#533—21no—
105#533—21no—
106#533—21no—
107#533—21no—
108#533—21no—
109#533—21no—
110#533—21no—
111#533—21no—
112#533—21no—
113#533—21no—
114#533—21no—
115#533—21no—
116#533—21no—
117#532—21no—
118#532—21no—
119#532—21no—
120#532—21no—
121#532—21no—
122#532—21no—
123#532—21no—
124#532—21no—
125#532—21no—
126#532—21no—
127#532—21no—
128#532—21no—
129#532—21no—
130#532—21no—
131#532—21no—
132#532—21no—
133#532—21no—
134#532—21no—
135#532—21no—
136#532—21no—
137#532—21no—
138#532—21no—
139#532—21no—
140#532—21no—
141C2×C4⋊Q8C2×C411yescharacteristic, complemented
142C2×C4⋊Q8C2×C411yescharacteristic, complemented
143C2×C4⋊Q8C2×C411yescharacteristic, complemented
144C2×#127C2×C411yescharacteristic, complemented
145#529—22no—
146#529—22no—
147#529—22no—
148#529—22no—
149#529—22no—
150#529—22no—
151#529—22no—
152#529—22no—
153#529—22no—
154#529—22no—
155#529—22no—
156#529—22no—
157#529—22no—
158#529—22no—
159#529—22no—
160#529—22no—
161#529—22no—
162#529—22no—
163#529—22no—
164#529—22no—
165#529—22no—
166#529—22no—
167#529—22no—
168#529—22no—
169#529—22no—
170#529—22no—
171#529—22no—
172#529—22no—
173#529—22no—
174#529—22no—
175#529—22no—
176#529—22no—
177#529—22no—
178#529—22no—
179#529—22no—
180#529—22no—
181#529—22no—
182#529—22no—
183#529—22no—
184#529—22no—
185#529—22no—
186#529—22no—
187#529—22no—
188#529—22no—
189#529—22no—
190#529—22no—
191#529—22no—
192#529—22no—
193C2×#126C2×C414yescomplemented
194C2×#126C2×C414yescomplemented
195C2×#125C2×C412yescomplemented
196C2×#125C2×C412yescomplemented
197C2×#125C2×C412yescomplemented
198C2×#124C2×C412yescomplemented
199C2×#124C2×C412yescomplemented
200C2×#124C2×C412yescomplemented
201#525—22no—
202#525—22no—
203#525—22no—
204#525—22no—
205#525—22no—
206#525—22no—
207#525—22no—
208#525—22no—
209#525—22no—
210#525—22no—
211#525—22no—
212#525—22no—
213#525—22no—
214#525—22no—
215#525—22no—
216#525—22no—
217#525—22no—
218#525—22no—
219#525—22no—
220#525—22no—
221#525—22no—
222#525—22no—
223#525—22no—
224#525—22no—
225C2×#123C2×C414yes—
226C2×#123C2×C414yes—
227C2×#123C2314yes—
228C2×C22⋊Q8C2×C412yes—
229C2×C22⋊Q8C2×C412yes—
230C2×C22⋊Q8C2×C412yes—
231C2×C22⋊Q8C2×C412yes—
232C2×C22⋊Q8C2312yes—
233C2×C22⋊Q8C2312yes—
234C2×#121C2×C412yes—
235C2×#121C2×C412yes—
236C2×#121C2×C412yes—
237C2×#121C2×C412yes—
238C2×#121C2312yes—
239C2×#121C2312yes—
240C2×#120C2314yes—
241C4×#41—22no—
242C4×#41—22no—
243C4×#41—22no—
244C4×#41—22no—
245C4×#41—22no—
246C4×#41—22no—
247C4×#41—22no—
248C4×#41—22no—
249C4×#41—22no—
250C4×#41—22no—
251C4×#41—22no—
252C4×#41—22no—
253C4×#41—22no—
254C4×#41—22no—
255C4×#41—22no—
256C4×#41—22no—
257C4×#41—22no—
258C4×#41—22no—
259C4×#41—22no—
260C4×#41—22no—
261C4×#41—22no—
262C4×#41—22no—
263C4×#41—22no—
264C4×#41—22no—
265C2×C4×Q8C2×C412yescomplemented
266C2×C4×Q8C2×C412yescomplemented
267C2×C4×Q8C2×C412yescomplemented
268C2×C4×Q8C2×C412yescomplemented
269C2×C4×Q8C2×C412yescomplemented
270C2×C4×Q8C2×C412yescomplemented
271C2×C4×D4C2×C414yes—
272C2×C4×D4C2×C414yes—
273C2×C4×D4C2×C414yes—
274C2×C4×D4C2×C414yes—
275C2×C4×D4C2×C412yescomplemented
276C2×C4×D4C2×C412yescomplemented
277C2×C4×D4C2×C412yescomplemented
278C2×C4×D4C2×C412yescomplemented
279C2×C4×D4C2×C412yescomplemented
280C2×C4×D4C2×C412yescomplemented
281C2×C4×D4C2314yes—
282C2×C4×D4C2314yes—
283C2×#117—22no—
284C2×#117—22no—
285C2×#117C2×C412yes—
286C2×#117C2×C412yes—
287C2×#117C2×C414yescomplemented
288C2×#117C2×C414yescomplemented
289C2×#117C2×C414yescomplemented
290C2×#117C2314yes—
291C2×#117C2312yes—
292C22×C4⋊C4—22no—
293C22×C22⋊C4C2314yes—
294C22×C42—22no—
295C22×C42C2×C411yescharacteristic
296C22×C42C2×C411yescharacteristic
297C22×C42C2×C411yescharacteristic
298C22×C42C2×C411yescharacteristic
299C22×C42C2×C411yescharacteristic
300C22×C42C2×C411yescharacteristic
301C22×C42C2×C411yescharacteristic
302C22×C42C2×C411yescharacteristic
303C22×C42C2×C414yescomplemented
304C22×C42D411yescharacteristic
305C22×C42D411yescharacteristic
306C22×C42D411yescharacteristic
307C22×C42D411yescharacteristic
308C22×C42D411yescharacteristic
309C22×C42D411yescharacteristic
310C22×C42D411yescharacteristic
311C22×C42D411yescharacteristic
312C22×C42D411yescharacteristic
313C22×C42D411yescharacteristic
314C22×C42D411yescharacteristic
315C22×C42D411yescharacteristic
316C22×C42D411yescharacteristic
317C22×C42D411yescharacteristic
318C22×C42D411yescharacteristic
319C22×C42D411yescharacteristic
320C22×C42C2311yescharacteristic
321C22×C42C2311yescharacteristic
322C22×C42C2311yescharacteristic
323C22×C42C2311yescharacteristic
324C2×#99C23132yes—
325#384—22no—
326#383—22no—
327#383—22no—
328#383—22no—
329#383—22no—
330#383—22no—
331#383—22no—
332#382—22no—
333#382—22no—
334#382—22no—
335#382—22no—
336#382—22no—
337#382—22no—
338#382—22no—
339#381—22no—
340#381—22no—
341#381—22no—
342#381—22no—
343#381C2314yes—
344#381C2314yes—
345#381C2314yes—
346#380—22no—
347#380—22no—
348#380—22no—
349#380—22no—
350#380—22no—
351#380—22no—
352#380C2314yes—
353#380C2314yes—
354#380C2314yes—
355#380C2314yes—
356#379C2314yes—
357C4×C4⋊C4—22no—
358C4×C4⋊C4—22no—
359C4×C4⋊C4—22no—
360C4×C4⋊C4—22no—
361C4×C4⋊C4—22no—
362C4×C4⋊C4—22no—
363C4×C4⋊C4—22no—
364C4×C4⋊C4—22no—
365C4×C4⋊C4—22no—
366C4×C4⋊C4—22no—
367C4×C22⋊C4—22no—
368C4×C22⋊C4—22no—
369C4×C22⋊C4—22no—
370C4×C22⋊C4—22no—
371C4×C22⋊C4—22no—
372C4×C22⋊C4—22no—
373C4×C22⋊C4C2314yes—
374C4×C22⋊C4C2314yes—
375C4×C22⋊C4C2314yes—
376C4×C22⋊C4C2314yes—
377#376—22no—
378#376—22no—
379#376—22no—
380#376—22no—
381#376—22no—
382#376—22no—
383#376—22no—
384C2×#95—22no—
385C2×#95—22no—
386C2×#95—22no—
387C2×#95—22no—
388C43—22no—
389#342C23132yes—
390C25C2411yescharacteristic
391C2×#41—22no—
392C2×#41—22no—
393C2×#41—22no—
394C2×#41—22no—
395C2×#41—22no—
396C2×#41—22no—
397C2×#41—22no—
398C2×#41—22no—
399C2×#41—22no—
400C2×#41—22no—
401C2×#41—22no—
402C2×#41—22no—
403C2×#41—48no—
404C2×#41—48no—
405C2×#41—48no—
406C22×Q8C22×C412yes—
407C22×Q8C22×C412yes—
408C22×Q8C22×C412yes—
409C22×D4C22×C414yes—
410C22×D4C22×C414yes—
411C22×D4C22×C412yes—
412C22×D4C22×C412yes—
413C22×D4C22×C412yes—
414C22×D4C2414yes—
415C23×C4—24no—
416C23×C4—44no—
417C23×C4—44no—
418C23×C4—44no—
419C23×C4C22×C411yescharacteristic
420C23×C4C22×C411yescharacteristic
421C23×C4C22×C414yes—
422C23×C4C22×C414yes—
423C23×C4C22×C414yes—
424C23×C4C22×C411yescharacteristic
425C23×C4C22×C411yescharacteristic
426C23×C4C22×C411yescharacteristic
427C23×C4C22×C411yescharacteristic
428C23×C4C22×C411yescharacteristic
429C23×C4C22×C411yescharacteristic
430C23×C4C22×C411yescharacteristic
431C23×C4C22×C411yescharacteristic
432C23×C4C22×C411yescharacteristic
433C23×C4C22×C411yescharacteristic
434C23×C4C2×D411yescharacteristic
435C23×C4C2×D411yescharacteristic
436C23×C4C2×D411yescharacteristic
437C23×C4C2×D411yescharacteristic
438C23×C4C2×D411yescharacteristic
439C23×C4C2×D411yescharacteristic
440C23×C4C2×D411yescharacteristic
441C23×C4C2×D411yescharacteristic
442C23×C4C2×D411yescharacteristic
443C23×C4C2×D411yescharacteristic
444C23×C4C2×D411yescharacteristic
445C23×C4C2×D411yescharacteristic
446C23×C4C2×D411yescharacteristic
447C23×C4C2×D411yescharacteristic
448C23×C4C2×D411yescharacteristic
449C23×C4C2×D411yescharacteristic
450C23×C4C2×D411yescharacteristic
451C23×C4C2×D411yescharacteristic
452C23×C4C2×D411yescharacteristic
453C23×C4C2×D411yescharacteristic
454C23×C4C2×D411yescharacteristic
455C23×C4C2×D411yescharacteristic
456C23×C4C2×D411yescharacteristic
457C23×C4C2×D411yescharacteristic
458C23×C4C2411yescharacteristic
459C23×C4C2411yescharacteristic
460C23×C4C2411yescharacteristic
461C23×C4C2411yescharacteristic
462C23×C4C2411yescharacteristic
463C23×C4C2411yescharacteristic
464C4⋊Q8—21no—
465C4⋊Q8—21no—
466C4⋊Q8—21no—
467C4⋊Q8—21no—
468C4⋊Q8—21no—
469C4⋊Q8—21no—
470C4⋊Q8—21no—
471C4⋊Q8—21no—
472C4⋊Q8—21no—
473C4⋊Q8—21no—
474C4⋊Q8—21no—
475C4⋊Q8—21no—
476#127—21no—
477#127—21no—
478#127—21no—
479#127—21no—
480#126—24no—
481#126—24no—
482#126—24no—
483#126—24no—
484#126—24no—
485#126—24no—
486#126—24no—
487#126—24no—
488#125—22no—
489#125—22no—
490#125—22no—
491#125—22no—
492#125—22no—
493#125—22no—
494#125—22no—
495#125—22no—
496#125—22no—
497#125—22no—
498#125—22no—
499#125—22no—
500#124—22no—
501#124—22no—
502#124—22no—
503#124—22no—
504#124—22no—
505#124—22no—
506#124—22no—
507#124—22no—
508#124—22no—
509#124—22no—
510#124—22no—
511#124—22no—
512#123—24no—
513#123—24no—
514#123—24no—
515#123—24no—
516#123—24no—
517#123—24no—
518#123—24no—
519#123—24no—
520#123—24no—
521#123—24no—
522#123—24no—
523#123—24no—
524C22⋊Q8—22no—
525C22⋊Q8—22no—
526C22⋊Q8—22no—
527C22⋊Q8—22no—
528C22⋊Q8—22no—
529C22⋊Q8—22no—
530C22⋊Q8—22no—
531C22⋊Q8—22no—
532C22⋊Q8—22no—
533C22⋊Q8—22no—
534C22⋊Q8—22no—
535C22⋊Q8—22no—
536C22⋊Q8—22no—
537C22⋊Q8—22no—
538C22⋊Q8—22no—
539C22⋊Q8—22no—
540C22⋊Q8—22no—
541C22⋊Q8—22no—
542C22⋊Q8—22no—
543C22⋊Q8—22no—
544C22⋊Q8—22no—
545C22⋊Q8—22no—
546C22⋊Q8—22no—
547C22⋊Q8—22no—
548#121—22no—
549#121—22no—
550#121—22no—
551#121—22no—
552#121—22no—
553#121—22no—
554#121—22no—
555#121—22no—
556#121—22no—
557#121—22no—
558#121—22no—
559#121—22no—
560#121—22no—
561#121—22no—
562#121—22no—
563#121—22no—
564#121—22no—
565#121—22no—
566#121—22no—
567#121—22no—
568#121—22no—
569#121—22no—
570#121—22no—
571#121—22no—
572#120—24no—
573#120—24no—
574#120—24no—
575#120—24no—
576C4×Q8—22no—
577C4×Q8—22no—
578C4×Q8—22no—
579C4×Q8—22no—
580C4×Q8—22no—
581C4×Q8—22no—
582C4×Q8—22no—
583C4×Q8—22no—
584C4×Q8—22no—
585C4×Q8—22no—
586C4×Q8—22no—
587C4×Q8—22no—
588C4×Q8—22no—
589C4×Q8—22no—
590C4×Q8—22no—
591C4×Q8—22no—
592C4×Q8—22no—
593C4×Q8—22no—
594C4×Q8—22no—
595C4×Q8—22no—
596C4×Q8—22no—
597C4×Q8—22no—
598C4×Q8—22no—
599C4×Q8—22no—
600C4×D4—24no—
601C4×D4—24no—
602C4×D4—24no—
603C4×D4—24no—
604C4×D4—24no—
605C4×D4—24no—
606C4×D4—24no—
607C4×D4—24no—
608C4×D4—24no—
609C4×D4—24no—
610C4×D4—24no—
611C4×D4—24no—
612C4×D4—24no—
613C4×D4—24no—
614C4×D4—24no—
615C4×D4—24no—
616C4×D4—24no—
617C4×D4—24no—
618C4×D4—24no—
619C4×D4—24no—
620C4×D4—24no—
621C4×D4—24no—
622C4×D4—24no—
623C4×D4—24no—
624C4×D4—22no—
625C4×D4—22no—
626C4×D4—22no—
627C4×D4—22no—
628C4×D4—22no—
629C4×D4—22no—
630C4×D4—22no—
631C4×D4—22no—
632C4×D4—22no—
633C4×D4—22no—
634C4×D4—22no—
635C4×D4—22no—
636C4×D4—22no—
637C4×D4—22no—
638C4×D4—22no—
639C4×D4—22no—
640C4×D4—22no—
641C4×D4—22no—
642C4×D4—22no—
643C4×D4—22no—
644C4×D4—22no—
645C4×D4—22no—
646C4×D4—22no—
647C4×D4—22no—
648#117—22no—
649#117—22no—
650#117—22no—
651#117—22no—
652#117—22no—
653#117—22no—
654#117—22no—
655#117—22no—
656#117—22no—
657#117—22no—
658#117—22no—
659#117—22no—
660#117—24no—
661#117—24no—
662#117—24no—
663#117—24no—
664#117—24no—
665#117—24no—
666#117—24no—
667#117—24no—
668#117—24no—
669#117—24no—
670#117—24no—
671#117—24no—
672#117—48no—
673#117—48no—
674#117—48no—
675C2×C4⋊C4—24no—
676C2×C4⋊C4—24no—
677C2×C4⋊C4—24no—
678C2×C4⋊C4—24no—
679C2×C4⋊C4—24no—
680C2×C4⋊C4—48no—
681C2×C4⋊C4C22×C412yes—
682C2×C4⋊C4C22×C412yes—
683C2×C4⋊C4C22×C412yes—
684C2×C4⋊C4C22×C412yes—
685C2×C4⋊C4C22×C414yes—
686C2×C4⋊C4C22×C414yes—
687C2×C4⋊C4C22×C414yes—
688C2×C4⋊C4C22×C414yes—
689C2×C4⋊C4C22×C414yes—
690C2×C4⋊C4C22×C414yes—
691C2×C4⋊C4C22×C412yes—
692C2×C4⋊C4C22×C412yes—
693C2×C22⋊C4—24no—
694C2×C22⋊C4—24no—
695C2×C22⋊C4—24no—
696C2×C22⋊C4—48no—
697C2×C22⋊C4C22×C414yes—
698C2×C22⋊C4C22×C414yes—
699C2×C22⋊C4C22×C414yes—
700C2×C22⋊C4C22×C414yes—
701C2×C22⋊C4C22×C414yes—
702C2×C22⋊C4C22×C414yes—
703C2×C22⋊C4C22×C414yes—
704C2×C22⋊C4C22×C414yes—
705C2×C22⋊C4C2418yes—
706C2×C22⋊C4C2418yes—
707C2×C22⋊C4C2414yes—
708C2×C42—24no—
709C2×C42—24no—
710C2×C42—24no—
711C2×C42—24no—
712C2×C42—24no—
713C2×C42—24no—
714C2×C42—24no—
715C2×C42—24no—
716C2×C42—24no—
717C2×C42—48no—
718C2×C42C22⋊C411yescharacteristic
719C2×C42C22⋊C411yescharacteristic
720C2×C42C22⋊C411yescharacteristic
721C2×C42C22⋊C411yescharacteristic
722C2×C42C22⋊C411yescharacteristic
723C2×C42C22⋊C411yescharacteristic
724C2×C42C22⋊C411yescharacteristic
725C2×C42C22⋊C411yescharacteristic
726C2×C42C22⋊C411yescharacteristic
727C2×C42C22⋊C411yescharacteristic
728C2×C42C22⋊C411yescharacteristic
729C2×C42C22⋊C411yescharacteristic
730C2×C42C22⋊C411yescharacteristic
731C2×C42C22⋊C411yescharacteristic
732C2×C42C22⋊C411yescharacteristic
733C2×C42C22⋊C411yescharacteristic
734C2×C42C22⋊C411yescharacteristic
735C2×C42C22⋊C411yescharacteristic
736C2×C42C22⋊C411yescharacteristic
737C2×C42C22⋊C411yescharacteristic
738C2×C42C22⋊C411yescharacteristic
739C2×C42C22⋊C411yescharacteristic
740C2×C42C22⋊C411yescharacteristic
741C2×C42C22⋊C411yescharacteristic
742C2×C42C22⋊C411yescharacteristic
743C2×C42C22⋊C411yescharacteristic
744C2×C42C22⋊C411yescharacteristic
745C2×C42C22⋊C411yescharacteristic
746C2×C42C22⋊C411yescharacteristic
747C2×C42C22⋊C411yescharacteristic
748C2×C42C22⋊C411yescharacteristic
749C2×C42C22⋊C411yescharacteristic
750C2×C42C22⋊C411yescharacteristic
751C2×C42C22⋊C411yescharacteristic
752C2×C42C22⋊C411yescharacteristic
753C2×C42C22⋊C411yescharacteristic
754C2×C42C22⋊C411yescharacteristic
755C2×C42C22⋊C411yescharacteristic
756C2×C42C22⋊C411yescharacteristic
757C2×C42C22⋊C411yescharacteristic
758C2×C42C22⋊C411yescharacteristic
759C2×C42C22⋊C411yescharacteristic
760C2×C42C22⋊C411yescharacteristic
761C2×C42C22⋊C411yescharacteristic
762C2×C42C22⋊C411yescharacteristic
763C2×C42C22⋊C411yescharacteristic
764C2×C42C22⋊C411yescharacteristic
765C2×C42C22⋊C411yescharacteristic
766C2×C42C22⋊C411yescharacteristic
767C2×C42C22⋊C411yescharacteristic
768C2×C42C22⋊C411yescharacteristic
769C2×C42C22⋊C411yescharacteristic
770C2×C42C22⋊C411yescharacteristic
771C2×C42C22⋊C411yescharacteristic
772C2×C42C22⋊C411yescharacteristic
773C2×C42C22⋊C411yescharacteristic
774C2×C42C22⋊C411yescharacteristic
775C2×C42C22⋊C411yescharacteristic
776C2×C42C22⋊C411yescharacteristic
777C2×C42C22⋊C411yescharacteristic
778C2×C42C22⋊C411yescharacteristic
779C2×C42C22⋊C411yescharacteristic
780C2×C42C22⋊C411yescharacteristic
781C2×C42C22⋊C411yescharacteristic
782C2×C42C22×C414yes—
783C2×C42C22×C414yes—
784C2×C42C22×C414yes—
785C2×C42C22×C411yescharacteristic
786C2×C42C22×C411yescharacteristic
787C2×C42C22×C411yescharacteristic
788C2×C42C22×C411yescharacteristic
789C2×C42C22×C411yescharacteristic
790C2×C42C22×C411yescharacteristic
791C2×C42C22×C411yescharacteristic
792C2×C42C22×C411yescharacteristic
793C2×C42C22×C411yescharacteristic
794C2×C42C22×C411yescharacteristic
795C2×C42C22×C411yescharacteristic
796C2×C42C22×C411yescharacteristic
797C2×C42C22×C411yescharacteristic
798C2×C42C22×C411yescharacteristic
799C2×C42C22×C411yescharacteristic
800C2×C42C22×C411yescharacteristic
801C2×C42C2×D411yescharacteristic
802C2×C42C2×D411yescharacteristic
803C2×C42C2×D411yescharacteristic
804C2×C42C2×D411yescharacteristic
805C2×C42C2×D411yescharacteristic
806C2×C42C2×D411yescharacteristic
807C2×C42C2×D411yescharacteristic
808C2×C42C2×D411yescharacteristic
809C2×C42C2×D411yescharacteristic
810C2×C42C2×D411yescharacteristic
811C2×C42C2×D411yescharacteristic
812C2×C42C2×D411yescharacteristic
813C2×C42C2×D411yescharacteristic
814C2×C42C2×D411yescharacteristic
815C2×C42C2×D411yescharacteristic
816C2×C42C2×D411yescharacteristic
817C2×C42C2×D411yescharacteristic
818C2×C42C2×D411yescharacteristic
819C2×C42C2×D411yescharacteristic
820C2×C42C2×D411yescharacteristic
821C2×C42C2×D411yescharacteristic
822C2×C42C2×D411yescharacteristic
823C2×C42C2×D411yescharacteristic
824C2×C42C2×D411yescharacteristic
825C2×C42C2×D411yescharacteristic
826C2×C42C2×D411yescharacteristic
827C2×C42C2×D411yescharacteristic
828C2×C42C2×D411yescharacteristic
829C2×C42C2×D411yescharacteristic
830C2×C42C2×D411yescharacteristic
831C2×C42C2×D411yescharacteristic
832C2×C42C2×D411yescharacteristic
833#99—432no—
834#95—24no—
835#95—24no—
836#95—24no—
837#95—24no—
838#95—24no—
839#95—24no—
840#95—24no—
841#95—24no—
842#95—24no—
843#95—24no—
844#95—24no—
845#95—24no—
846#95—24no—
847#95—24no—
848C24—24no—
849C24—42no—
850C24—42no—
851C24C23×C411yescharacteristic
852C24C23×C411yescharacteristic
853C24C23×C414yes—
854C24C22×D411yescharacteristic
855C24C22×D411yescharacteristic
856C24C22×D411yescharacteristic
857C24C22×D411yescharacteristic
858C24C2511yescharacteristic
859#41—48no—
860#41—48no—
861#41—48no—
862#41—48no—
863#41—48no—
864#41—48no—
865#41—48no—
866#41—48no—
867#41—48no—
868#41—48no—
869#41—48no—
870#41—48no—
871C2×Q8—22no—
872C2×Q8—22no—
873C2×Q8—22no—
874C2×Q8—22no—
875C2×Q8—22no—
876C2×Q8—22no—
877C2×Q8—44no—
878C2×Q8—44no—
879C2×Q8—44no—
880C2×D4—24no—
881C2×D4—24no—
882C2×D4—24no—
883C2×D4—24no—
884C2×D4—24no—
885C2×D4—24no—
886C2×D4—216no—
887C2×D4—22no—
888C2×D4—22no—
889C2×D4—22no—
890C2×D4—22no—
891C2×D4—22no—
892C2×D4—22no—
893C2×D4—44no—
894C2×D4—44no—
895C2×D4—44no—
896C2×D4—48no—
897C2×D4—48no—
898C22×C4—24no—
899C22×C4—24no—
900C22×C4—24no—
901C22×C4—24no—
902C22×C4—24no—
903C22×C4—24no—
904C22×C4—24no—
905C22×C4—24no—
906C22×C4—24no—
907C22×C4—24no—
908C22×C4—24no—
909C22×C4—24no—
910C22×C4—24no—
911C22×C4—24no—
912C22×C4—28no—
913C22×C4—28no—
914C22×C4—42no—
915C22×C4—42no—
916C22×C4—42no—
917C22×C4—42no—
918C22×C4—42no—
919C22×C4—42no—
920C22×C4—42no—
921C22×C4—42no—
922C22×C4—42no—
923C22×C4—42no—
924C22×C4—42no—
925C22×C4—42no—
926C22×C4—42no—
927C22×C4—42no—
928C22×C4—42no—
929C22×C4—42no—
930C22×C4—42no—
931C22×C4—42no—
932C22×C4—42no—
933C22×C4—42no—
934C22×C4—42no—
935C22×C4—42no—
936C22×C4—42no—
937C22×C4—42no—
938C22×C4—42no—
939C22×C4—42no—
940C22×C4—42no—
941C22×C4—42no—
942C22×C4—42no—
943C22×C4—42no—
944C22×C4—42no—
945C22×C4—42no—
946C22×C4—42no—
947C22×C4—42no—
948C22×C4—48no—
949C22×C4—48no—
950C22×C4—48no—
951C22×C4—48no—
952C22×C4—48no—
953C22×C4—48no—
954C22×C4C2×C22⋊C411yescharacteristic
955C22×C4C2×C22⋊C411yescharacteristic
956C22×C4C2×C22⋊C411yescharacteristic
957C22×C4C2×C22⋊C411yescharacteristic
958C22×C4C2×C22⋊C411yescharacteristic
959C22×C4C2×C22⋊C411yescharacteristic
960C22×C4C2×C22⋊C411yescharacteristic
961C22×C4C2×C22⋊C411yescharacteristic
962C22×C4C2×C22⋊C411yescharacteristic
963C22×C4C2×C22⋊C411yescharacteristic
964C22×C4C2×C22⋊C411yescharacteristic
965C22×C4C2×C22⋊C411yescharacteristic
966C22×C4C2×C22⋊C411yescharacteristic
967C22×C4C2×C22⋊C411yescharacteristic
968C22×C4C2×C22⋊C411yescharacteristic
969C22×C4C2×C22⋊C411yescharacteristic
970C22×C4C2×C22⋊C411yescharacteristic
971C22×C4C2×C22⋊C411yescharacteristic
972C22×C4C2×C22⋊C411yescharacteristic
973C22×C4C2×C22⋊C411yescharacteristic
974C22×C4C2×C22⋊C411yescharacteristic
975C22×C4C2×C22⋊C411yescharacteristic
976C22×C4C2×C22⋊C411yescharacteristic
977C22×C4C2×C22⋊C411yescharacteristic
978C22×C4C2×C22⋊C411yescharacteristic
979C22×C4C2×C22⋊C411yescharacteristic
980C22×C4C2×C22⋊C411yescharacteristic
981C22×C4C2×C22⋊C411yescharacteristic
982C22×C4C2×C22⋊C411yescharacteristic
983C22×C4C2×C22⋊C411yescharacteristic
984C22×C4C2×C22⋊C411yescharacteristic
985C22×C4C2×C22⋊C411yescharacteristic
986C22×C4C2×C22⋊C411yescharacteristic
987C22×C4C2×C22⋊C411yescharacteristic
988C22×C4C2×C22⋊C411yescharacteristic
989C22×C4C2×C22⋊C411yescharacteristic
990C22×C4C2×C22⋊C411yescharacteristic
991C22×C4C2×C22⋊C411yescharacteristic
992C22×C4C2×C22⋊C411yescharacteristic
993C22×C4C2×C22⋊C411yescharacteristic
994C22×C4C2×C22⋊C411yescharacteristic
995C22×C4C2×C22⋊C411yescharacteristic
996C22×C4C2×C22⋊C411yescharacteristic
997C22×C4C2×C22⋊C411yescharacteristic
998C22×C4C2×C22⋊C411yescharacteristic
999C22×C4C2×C22⋊C411yescharacteristic
1000C22×C4C2×C22⋊C411yescharacteristic
1001C22×C4C2×C22⋊C411yescharacteristic
1002C22×C4C23×C414yes—
1003C22×C4C23×C411yescharacteristic
1004C22×C4C23×C411yescharacteristic
1005C22×C4C23×C411yescharacteristic
1006C22×C4C23×C411yescharacteristic
1007C22×C4C23×C411yescharacteristic
1008C22×C4C23×C411yescharacteristic
1009C22×C4C23×C411yescharacteristic
1010C22×C4C23×C411yescharacteristic
1011C22×C4C23×C414yes—
1012C22×C4C23×C414yes—
1013C22×C4C23×C411yescharacteristic
1014C22×C4C23×C411yescharacteristic
1015C22×C4C23×C411yescharacteristic
1016C22×C4C23×C411yescharacteristic
1017C22×C4C22×D411yescharacteristic
1018C22×C4C22×D411yescharacteristic
1019C22×C4C22×D411yescharacteristic
1020C22×C4C22×D411yescharacteristic
1021C22×C4C22×D411yescharacteristic
1022C22×C4C22×D411yescharacteristic
1023C22×C4C22×D411yescharacteristic
1024C22×C4C22×D411yescharacteristic
1025C22×C4C22×D411yescharacteristic
1026C22×C4C22×D411yescharacteristic
1027C22×C4C22×D411yescharacteristic
1028C22×C4C22×D411yescharacteristic
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4C22×D411yescharacteristic
1034C22×C4C22×D411yescharacteristic
1035C22×C4C22×D411yescharacteristic
1036C22×C4C22×D411yescharacteristic
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D411yescharacteristic
1040C22×C4C22×D411yescharacteristic
1041C4⋊C4—22no—
1042C4⋊C4—22no—
1043C4⋊C4—22no—
1044C4⋊C4—22no—
1045C4⋊C4—22no—
1046C4⋊C4—22no—
1047C4⋊C4—22no—
1048C4⋊C4—22no—
1049C4⋊C4—22no—
1050C4⋊C4—22no—
1051C4⋊C4—22no—
1052C4⋊C4—22no—
1053C4⋊C4—24no—
1054C4⋊C4—24no—
1055C4⋊C4—24no—
1056C4⋊C4—24no—
1057C4⋊C4—24no—
1058C4⋊C4—24no—
1059C4⋊C4—24no—
1060C4⋊C4—24no—
1061C4⋊C4—24no—
1062C4⋊C4—24no—
1063C4⋊C4—24no—
1064C4⋊C4—24no—
1065C4⋊C4—48no—
1066C4⋊C4—48no—
1067C4⋊C4—48no—
1068C4⋊C4—48no—
1069C4⋊C4—48no—
1070C22⋊C4—24no—
1071C22⋊C4—24no—
1072C22⋊C4—24no—
1073C22⋊C4—24no—
1074C22⋊C4—24no—
1075C22⋊C4—24no—
1076C22⋊C4—24no—
1077C22⋊C4—24no—
1078C22⋊C4—24no—
1079C22⋊C4—24no—
1080C22⋊C4—24no—
1081C22⋊C4—24no—
1082C22⋊C4—24no—
1083C22⋊C4—24no—
1084C22⋊C4—24no—
1085C22⋊C4—24no—
1086C22⋊C4—24no—
1087C22⋊C4—24no—
1088C22⋊C4—216no—
1089C22⋊C4—216no—
1090C22⋊C4—48no—
1091C22⋊C4—48no—
1092C22⋊C4—48no—
1093C42—24no—
1094C42—24no—
1095C42—24no—
1096C42—24no—
1097C42—24no—
1098C42—24no—
1099C42—48no—
1100C42—48no—
1101C42—48no—
1102C42—48no—
1103C42—48no—
1104C42C2×C22⋊C411yescharacteristic
1105C42C2×C22⋊C411yescharacteristic
1106C42C2×C22⋊C411yescharacteristic
1107C42C2×C22⋊C411yescharacteristic
1108C42C2×C22⋊C411yescharacteristic
1109C42C2×C22⋊C411yescharacteristic
1110C42C2×C22⋊C411yescharacteristic
1111C42C2×C22⋊C411yescharacteristic
1112C42C2×C22⋊C411yescharacteristic
1113C42C2×C22⋊C411yescharacteristic
1114C42C2×C22⋊C411yescharacteristic
1115C42C2×C22⋊C411yescharacteristic
1116C42C2×C22⋊C411yescharacteristic
1117C42C2×C22⋊C411yescharacteristic
1118C42C2×C22⋊C411yescharacteristic
1119C42C2×C22⋊C411yescharacteristic
1120C42C2×C22⋊C411yescharacteristic
1121C42C2×C22⋊C411yescharacteristic
1122C42C2×C22⋊C411yescharacteristic
1123C42C2×C22⋊C411yescharacteristic
1124C42C2×C22⋊C411yescharacteristic
1125C42C2×C22⋊C411yescharacteristic
1126C42C2×C22⋊C411yescharacteristic
1127C42C2×C22⋊C411yescharacteristic
1128C42C2×C22⋊C411yescharacteristic
1129C42C2×C22⋊C411yescharacteristic
1130C42C2×C22⋊C411yescharacteristic
1131C42C2×C22⋊C411yescharacteristic
1132C42C2×C22⋊C411yescharacteristic
1133C42C2×C22⋊C411yescharacteristic
1134C42C2×C22⋊C411yescharacteristic
1135C42C2×C22⋊C411yescharacteristic
1136C42C2×C22⋊C411yescharacteristic
1137C42C2×C22⋊C411yescharacteristic
1138C42C2×C22⋊C411yescharacteristic
1139C42C2×C22⋊C411yescharacteristic
1140C42C2×C22⋊C411yescharacteristic
1141C42C2×C22⋊C411yescharacteristic
1142C42C2×C22⋊C411yescharacteristic
1143C42C2×C22⋊C411yescharacteristic
1144C42C2×C22⋊C411yescharacteristic
1145C42C2×C22⋊C411yescharacteristic
1146C42C2×C22⋊C411yescharacteristic
1147C42C2×C22⋊C411yescharacteristic
1148C42C2×C22⋊C411yescharacteristic
1149C42C2×C22⋊C411yescharacteristic
1150C42C2×C22⋊C411yescharacteristic
1151C42C2×C22⋊C411yescharacteristic
1152C42C2×C22⋊C411yescharacteristic
1153C42C2×C22⋊C411yescharacteristic
1154C42C2×C22⋊C411yescharacteristic
1155C42C2×C22⋊C411yescharacteristic
1156C42C2×C22⋊C411yescharacteristic
1157C42C2×C22⋊C411yescharacteristic
1158C42C2×C22⋊C411yescharacteristic
1159C42C2×C22⋊C411yescharacteristic
1160C42C2×C22⋊C411yescharacteristic
1161C42C2×C22⋊C411yescharacteristic
1162C42C2×C22⋊C411yescharacteristic
1163C42C2×C22⋊C411yescharacteristic
1164C42C2×C22⋊C411yescharacteristic
1165C42C2×C22⋊C411yescharacteristic
1166C42C2×C22⋊C411yescharacteristic
1167C42C2×C22⋊C411yescharacteristic
1168C23—22no—
1169C23—22no—
1170C23—22no—
1171C23—22no—
1172C23—22no—
1173C23—22no—
1174C23—22no—
1175C23—22no—
1176C23—22no—
1177C23—22no—
1178C23—22no—
1179C23—22no—
1180C23—24no—
1181C23—28no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—416no—
1191C23—44no—
1192C23—44no—
1193C23C22×C22⋊C411yescharacteristic
1194C23C22×C22⋊C411yescharacteristic
1195C23C22×C22⋊C411yescharacteristic
1196C23C22×C22⋊C411yescharacteristic
1197C23C24×C411yescharacteristic
1198C23C23×D411yescharacteristic
1199C23C23×D411yescharacteristic
1200C23#58514yes—
1201Q8—44no—
1202Q8—44no—
1203Q8—44no—
1204Q8—44no—
1205Q8—44no—
1206Q8—44no—
1207D4—44no—
1208D4—44no—
1209D4—44no—
1210D4—44no—
1211D4—48no—
1212D4—48no—
1213D4—48no—
1214D4—48no—
1215D4—48no—
1216D4—48no—
1217D4—44no—
1218D4—44no—
1219C2×C4—22no—
1220C2×C4—22no—
1221C2×C4—22no—
1222C2×C4—22no—
1223C2×C4—22no—
1224C2×C4—22no—
1225C2×C4—22no—
1226C2×C4—22no—
1227C2×C4—22no—
1228C2×C4—22no—
1229C2×C4—22no—
1230C2×C4—22no—
1231C2×C4—22no—
1232C2×C4—22no—
1233C2×C4—22no—
1234C2×C4—22no—
1235C2×C4—22no—
1236C2×C4—22no—
1237C2×C4—22no—
1238C2×C4—22no—
1239C2×C4—22no—
1240C2×C4—22no—
1241C2×C4—22no—
1242C2×C4—22no—
1243C2×C4—22no—
1244C2×C4—22no—
1245C2×C4—22no—
1246C2×C4—22no—
1247C2×C4—22no—
1248C2×C4—22no—
1249C2×C4—22no—
1250C2×C4—22no—
1251C2×C4—22no—
1252C2×C4—22no—
1253C2×C4—22no—
1254C2×C4—22no—
1255C2×C4—22no—
1256C2×C4—22no—
1257C2×C4—22no—
1258C2×C4—22no—
1259C2×C4—22no—
1260C2×C4—22no—
1261C2×C4—24no—
1262C2×C4—24no—
1263C2×C4—24no—
1264C2×C4—28no—
1265C2×C4—41no—
1266C2×C4—41no—
1267C2×C4—41no—
1268C2×C4—41no—
1269C2×C4—41no—
1270C2×C4—41no—
1271C2×C4—41no—
1272C2×C4—41no—
1273C2×C4—41no—
1274C2×C4—41no—
1275C2×C4—41no—
1276C2×C4—41no—
1277C2×C4—41no—
1278C2×C4—41no—
1279C2×C4—41no—
1280C2×C4—41no—
1281C2×C4—41no—
1282C2×C4—41no—
1283C2×C4—41no—
1284C2×C4—41no—
1285C2×C4—41no—
1286C2×C4—41no—
1287C2×C4—41no—
1288C2×C4—41no—
1289C2×C4—41no—
1290C2×C4—41no—
1291C2×C4—41no—
1292C2×C4—41no—
1293C2×C4—41no—
1294C2×C4—41no—
1295C2×C4—41no—
1296C2×C4—41no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—48no—
1306C2×C4—48no—
1307C2×C4—48no—
1308C2×C4—48no—
1309C2×C4—48no—
1310C2×C4—48no—
1311C2×C4—44no—
1312C2×C4—44no—
1313C2×C4—48no—
1314C2×C4—48no—
1315C2×C4—48no—
1316C2×C4—48no—
1317C2×C4—48no—
1318C2×C4—48no—
1319C2×C4—816no—
1320C2×C4#41014yes—
1321C2×C4#41014yes—
1322C2×C4C22×C22⋊C411yescharacteristic
1323C2×C4C22×C22⋊C411yescharacteristic
1324C2×C4C22×C22⋊C411yescharacteristic
1325C2×C4C22×C22⋊C411yescharacteristic
1326C2×C4C22×C22⋊C411yescharacteristic
1327C2×C4C22×C22⋊C411yescharacteristic
1328C2×C4C22×C22⋊C411yescharacteristic
1329C2×C4C22×C22⋊C411yescharacteristic
1330C2×C4C22×C22⋊C411yescharacteristic
1331C2×C4C22×C22⋊C411yescharacteristic
1332C2×C4C22×C22⋊C411yescharacteristic
1333C2×C4C22×C22⋊C411yescharacteristic
1334C2×C4C22×C22⋊C411yescharacteristic
1335C2×C4C22×C22⋊C411yescharacteristic
1336C2×C4C22×C22⋊C411yescharacteristic
1337C2×C4C22×C22⋊C411yescharacteristic
1338C2×C4C22×C22⋊C411yescharacteristic
1339C2×C4C22×C22⋊C411yescharacteristic
1340C2×C4C22×C22⋊C411yescharacteristic
1341C2×C4C22×C22⋊C411yescharacteristic
1342C2×C4C22×C22⋊C411yescharacteristic
1343C2×C4C22×C22⋊C411yescharacteristic
1344C2×C4C22×C22⋊C411yescharacteristic
1345C2×C4C22×C22⋊C411yescharacteristic
1346C22—28no—
1347C22—21no—
1348C22—21no—
1349C22—21no—
1350C22—21no—
1351C22—21no—
1352C22—21no—
1353C22—21no—
1354C22—21no—
1355C22—21no—
1356C22—21no—
1357C22—21no—
1358C22—21no—
1359C22—21no—
1360C22—21no—
1361C22—21no—
1362C22—21no—
1363C22—44no—
1364C22—44no—
1365C22—44no—
1366C22—44no—
1367C22—44no—
1368C22—44no—
1369C22—44no—
1370C22—44no—
1371C22—44no—
1372C22—88no—
1373C22C2×#41012yes—
1374C22C2×#41012yes—
1375C22C23×C22⋊C411yescharacteristic
1376C22#342812yes—
1377C22#344912yes—
1378C22#344912yes—
1379C4—21no—
1380C4—21no—
1381C4—21no—
1382C4—21no—
1383C4—21no—
1384C4—21no—
1385C4—21no—
1386C4—21no—
1387C4—21no—
1388C4—21no—
1389C4—21no—
1390C4—21no—
1391C4—21no—
1392C4—21no—
1393C4—21no—
1394C4—21no—
1395C4—21no—
1396C4—21no—
1397C4—21no—
1398C4—21no—
1399C4—44no—
1400C4—44no—
1401C4—44no—
1402C4—88no—
1403C4—88no—
1404C4C2×#41012yes—
1405C4C2×#41012yes—
1406C4C2×#41012yes—
1407C4C2×#41012yes—
1408C2—22no—
1409C2—22no—
1410C2—22no—
1411C2—22no—
1412C2—22no—
1413C2—41no—
1414C2—41no—
1415C2—84no—
1416C2#3404411yescharacteristic
1417C2C22×#41011yescharacteristic
1418C2C22×#41011yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊C4
commutatorC23C24×C4
Frattini, cosocleC24C25
socleC22C23×C22⋊C4
prime radicalC2×#3444C2
LCSG ▷ C23 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ C23×C42 ◁ G
LECSG ▷ C24 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34012C2semidirect
3. C2×#2283C2semidirect
4. #21875C2semidirect
5. #21874C2semidirect
6. #21826C2semidirect
7. #21794C2semidirect
8. #21748C2semidirect
9. #21421C2semidirect
10. #21420C2semidirect
11. #20723C2semidirect
28. C2×#533C4semidirect
29. C2×#533C4semidirect
31. C2×#532C4semidirect
32. C2×#532C4semidirect
34. C2×#529C4semidirect
35. C2×#529C4semidirect
36. C2×#529C4semidirect
37. C2×#529C4semidirect
43. C2×C4×#41C4semidirect
44. C2×C4×#41C4semidirect
141. C2×C4⋊Q8C2×C4semidirect
142. C2×C4⋊Q8C2×C4semidirect
143. C2×C4⋊Q8C2×C4semidirect
144. C2×#127C2×C4semidirect
193. C2×#126C2×C4semidirect
194. C2×#126C2×C4semidirect
195. C2×#125C2×C4semidirect
196. C2×#125C2×C4semidirect
197. C2×#125C2×C4semidirect
198. C2×#124C2×C4semidirect
199. C2×#124C2×C4semidirect
200. C2×#124C2×C4semidirect
265. C2×C4×Q8C2×C4semidirect
266. C2×C4×Q8C2×C4semidirect
267. C2×C4×Q8C2×C4semidirect
268. C2×C4×Q8C2×C4semidirect
269. C2×C4×Q8C2×C4semidirect
270. C2×C4×Q8C2×C4semidirect
275. C2×C4×D4C2×C4semidirect
276. C2×C4×D4C2×C4semidirect
277. C2×C4×D4C2×C4semidirect
278. C2×C4×D4C2×C4semidirect
279. C2×C4×D4C2×C4semidirect
280. C2×C4×D4C2×C4semidirect
287. C2×#117C2×C4semidirect
288. C2×#117C2×C4semidirect
289. C2×#117C2×C4semidirect
303. C22×C42C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#34442
#340122
C2×#22832
#218752
#218742
#218262
#217942
#217482
#214212
#214202
#207232