Finite Group Databasebeta

← C2×#70392 #10822142

Subgroups — C2×#70392 #10822142

Order 768.

2254 conjugacy classes of subgroups.

The subgroup lattice has 804 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5833C211yesmaximal, characteristic, complemented
2C22×#949C211yesmaximal, characteristic, complemented
3C22×#908C211yesmaximal, characteristic, complemented
4C22×C3×#104C211yesmaximal, characteristic, complemented
5C2×#4939C211yesmaximal, characteristic, complemented
6C22×#805C211yesmaximal, characteristic, complemented
7C2×#4554C211yesmaximal, characteristic, complemented
8#70392C218yesmaximal, direct product factor
9C2×#2006—31nomaximal, Sylow
10C22×C3×#41C2211yescharacteristic
11C22×#235C2211yescharacteristic
12C23×D12C2211yescharacteristic
13C22×C3×M16C2211yescharacteristic
14C22×C3×C42C2211yescharacteristic
15#5833—22no—
16#5833—22no—
17#5833—22no—
18#5833C2214yescomplemented
19C2×#949—22no—
20C2×#949—24no—
21C2×#949—24no—
22C2×#949C2214yescomplemented
23C2×#946—21no—
24C22×#215—21no—
25C2×#939—22no—
26C2×#938—21no—
27C22×#213—21no—
28C2×#930—21no—
29C22×(C2×D3)⋊C4—22no—
30C22×C4⋊Dic3C2211yescharacteristic
31C2×#924—21no—
32C22×#208C2211yescharacteristic
33C2×#908—22no—
34C2×#908—24no—
35C2×#908—24no—
36C2×#908C2214yescomplemented
37C22×D24—21no—
38C22×#204—21no—
39C2×C3×#104—24no—
40C2×C3×#104C2214yescomplemented
41#4939—22no—
42#4939C2214yescomplemented
43C2×#805—24no—
44C2×#805C2214yescomplemented
45#4554C2214yescomplemented
46C22×AGL(1,ℤ/8)—31no—
47C22×AGL(1,ℤ/8)—31no—
48C2×#537—31no—
49C22×#104—31no—
50C22×#104D311yescharacteristic, complemented
51C2×#390—31no—
52#2006—38no—
53C2×#343—31no—
54C24×D3—21no—
55C2×C3×#41—21no—
56C2×C3×#41—21no—
57C2×C3×#41—22no—
58C2×C3×#41—22no—
59C2×C3×#41—22no—
60C2×C3×#41—22no—
61C2×C3×#41D412yes—
62C2×C3×#41C2312yes—
63C22×C3×Q8D411yescharacteristic
64C22×C3×D4—21no—
65C22×C3×D4D411yescharacteristic
66C23×C3×C4—21no—
67C23×C3×C4—21no—
68C23×C3×C4C2311yescharacteristic
69C22×#67—21no—
70C22×#67—22no—
71C23×Dic3D412yes—
72C2×#235—21no—
73C2×#235—21no—
74C2×#235—22no—
75C2×#235—22no—
76C2×#235—22no—
77C2×#235—22no—
78C2×#235D412yes—
79C2×#235C2312yes—
80C22×D12—21no—
81C22×D12—21no—
82C22×D12—22no—
83C22×D12—21no—
84C22×D12—21no—
85C22×D12—22no—
86C22×D12—21no—
87C22×D12—22no—
88C22×D12D411yescharacteristic
89C22×D12D414yescomplemented
90C22×D12C2312yes—
91C22×C4×D3—21no—
92C22×Dic6D411yescharacteristic
93C2×C3×M16—22no—
94C2×C3×M16—21no—
95C2×C3×M16D414yescomplemented
96C2×C3×M16C2312yes—
97C22×C3×C8—21no—
98C2×C3×C42—22no—
99C2×C3×C42—22no—
100C2×C3×C42—21no—
101C2×C3×C42C2312yes—
102C2×#217—22no—
103#949—216no—
104#949—28no—
105#949—28no—
106#946—24no—
107#946—24no—
108C2×#215—28no—
109C2×#215—24no—
110#939—28no—
111#939—28no—
112#938—24no—
113#938—24no—
114C2×#213—28no—
115C2×#213—24no—
116#930—24no—
117#930—24no—
118C2×(C2×D3)⋊C4—22no—
119C2×(C2×D3)⋊C4—28no—
120C2×(C2×D3)⋊C4—48no—
121C2×C4⋊Dic3—21no—
122C2×C4⋊Dic3—21no—
123C2×C4⋊Dic3—21no—
124C2×C4⋊Dic3—21no—
125C2×C4⋊Dic3D412yes—
126C2×C4⋊Dic3C2312yes—
127#924—24no—
128#924—24no—
129C2×Dic3⋊C4—22no—
130C2×#208—21no—
131C2×#208—22no—
132C2×#208D414yescomplemented
133C2×#208C2312yes—
134C22×C3⋊C8—21no—
135#908—216no—
136#908—28no—
137#908—28no—
138C2×D24—28no—
139C2×D24—24no—
140C2×#204—28no—
141C2×#204—24no—
142C3×#104—28no—
143#805—28no—
144C22×#41—31no—
145C22×#41C2×D311yescharacteristic
146C23×D4—31no—
147C2×AGL(1,ℤ/8)—34no—
148C2×AGL(1,ℤ/8)—34no—
149C2×AGL(1,ℤ/8)—64no—
150C2×AGL(1,ℤ/8)—62no—
151C2×AGL(1,ℤ/8)—64no—
152C2×AGL(1,ℤ/8)—64no—
153C2×AGL(1,ℤ/8)—62no—
154C2×AGL(1,ℤ/8)—64no—
155C22×SD16—61no—
156C22×SD16—61no—
157C22×D8—61no—
158C22×D8—61no—
159C22×M16—31no—
160C22×M16C2×D311yescharacteristic
161#537—34no—
162#537—62no—
163#537—62no—
164#537—62no—
165C2×C22⋊Q8—61no—
166C2×C22⋊Q8—61no—
167C2×#121—61no—
168C2×#121—62no—
169C2×#121—61no—
170C22×C4⋊C4—31no—
171C22×C22⋊C4—62no—
172C22×C42C2×D311yescharacteristic
173C2×#104—24no—
174C2×#104—34no—
175C2×#104—64no—
176C2×#104C2×D314yescomplemented
177#390—34no—
178#390—62no—
179#343—34no—
180C24×C3—21no—
181C24×C3C2×D411yescharacteristic
182C23×D3—21no—
183C23×D3—24no—
184C23×D3—22no—
185C23×D3—44no—
186C23×D3—44no—
187C23×D3—41no—
188C23×D3—41no—
189C23×D3—42no—
190C3×#41—24no—
191C3×#41—24no—
192C3×#41—22no—
193C3×#41—22no—
194C3×#41—22no—
195C3×#41—22no—
196C3×#41—42no—
197C3×#41—42no—
198C3×#41—42no—
199C3×#41—42no—
200C2×C3×Q8—21no—
201C2×C3×Q8—22no—
202C2×C3×Q8—22no—
203C2×C3×Q8C2×D412yes—
204C2×C3×D4—22no—
205C2×C3×D4—22no—
206C2×C3×D4—22no—
207C2×C3×D4—21no—
208C2×C3×D4—22no—
209C2×C3×D4—42no—
210C2×C3×D4—42no—
211C2×C3×D4C2×D412yes—
212C22×C3×C4—24no—
213C22×C3×C4—21no—
214C22×C3×C4—22no—
215C22×C3×C4—22no—
216C22×C3×C4—22no—
217C22×C3×C4—42no—
218C22×C3×C4—42no—
219C22×C3×C4—42no—
220C22×C3×C4—42no—
221C22×C3×C4C2×D411yescharacteristic
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2×D412yes—
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2×D411yescharacteristic
227C22×C3×C4C2×D412yes—
228C22×C3×C4C2×D412yes—
229C22×C3×C4#4112yes—
230C22×C3×C4C2411yescharacteristic
231C2×#67—22no—
232C2×#67—22no—
233C2×#67—28no—
234C2×#67—42no—
235C2×#67—42no—
236C2×#67—84no—
237C22×Dic3—21no—
238C22×Dic3—22no—
239C22×Dic3—22no—
240C22×Dic3—44no—
241C22×Dic3C2×D414yes—
242#235—24no—
243#235—24no—
244#235—22no—
245#235—22no—
246#235—22no—
247#235—22no—
248#235—42no—
249#235—42no—
250#235—42no—
251#235—42no—
252C2×D12—24no—
253C2×D12—22no—
254C2×D12—24no—
255C2×D12—24no—
256C2×D12—24no—
257C2×D12—22no—
258C2×D12—22no—
259C2×D12—22no—
260C2×D12—22no—
261C2×D12—22no—
262C2×D12—21no—
263C2×D12—24no—
264C2×D12—22no—
265C2×D12—41no—
266C2×D12—41no—
267C2×D12—42no—
268C2×D12—42no—
269C2×D12—42no—
270C2×D12—42no—
271C2×D12—42no—
272C2×D12C2×D412yes—
273C2×D12C2×D414yescomplemented
274C2×C4×D3—22no—
275C2×C4×D3—22no—
276C2×C4×D3—42no—
277C2×C4×D3—42no—
278C2×Dic6—22no—
279C2×Dic6—22no—
280C2×Dic6—21no—
281C2×Dic6C2×D412yes—
282C3×M16—24no—
283C3×M16—22no—
284C3×M16C2×D414yescomplemented
285C2×C3×C8—24no—
286C2×C3×C8—22no—
287C3×C42—22no—
288C3×C42—22no—
289C3×C42—42no—
290#217—28no—
291#215—216no—
292#213—216no—
293(C2×D3)⋊C4—28no—
294(C2×D3)⋊C4—416no—
295C4⋊Dic3—22no—
296C4⋊Dic3—22no—
297C4⋊Dic3—22no—
298C4⋊Dic3—22no—
299Dic3⋊C4—28no—
300#208—24no—
301#208—22no—
302#208C2×D414yescomplemented
303C2×C3⋊C8—24no—
304C2×C3⋊C8—22no—
305D24—216no—
306#204—216no—
307C25—61no—
308C2×#41—21no—
309C2×#41—21no—
310C2×#41—22no—
311C2×#41—22no—
312C2×#41—22no—
313C2×#41—22no—
314C2×#41—32no—
315C2×#41—32no—
316C2×#41—61no—
317C2×#41—61no—
318C2×#41—62no—
319C2×#41—62no—
320C2×#41—62no—
321C2×#41—62no—
322C2×#41D1212yes—
323C2×#41C22×D312yes—
324C22×Q8—31no—
325C22×Q8D1211yescharacteristic
326C22×D4—21no—
327C22×D4—31no—
328C22×D4—34no—
329C22×D4—32no—
330C22×D4—61no—
331C22×D4—62no—
332C22×D4—61no—
333C22×D4—61no—
334C22×D4—62no—
335C22×D4—61no—
336C22×D4—62no—
337C22×D4—61no—
338C22×D4—61no—
339C22×D4—62no—
340C22×D4D1211yescharacteristic
341C23×C4—21no—
342C23×C4—21no—
343C23×C4—32no—
344C23×C4—61no—
345C23×C4C22×D311yescharacteristic
346AGL(1,ℤ/8)—68no—
347AGL(1,ℤ/8)—616no—
348AGL(1,ℤ/8)—68no—
349AGL(1,ℤ/8)—68no—
350AGL(1,ℤ/8)—616no—
351AGL(1,ℤ/8)—68no—
352C2×SD16—64no—
353C2×SD16—68no—
354C2×SD16—68no—
355C2×SD16—64no—
356C2×D8—64no—
357C2×D8—68no—
358C2×D8—68no—
359C2×D8—64no—
360C2×M16—22no—
361C2×M16—21no—
362C2×M16—34no—
363C2×M16—32no—
364C2×M16—61no—
365C2×M16—62no—
366C2×M16#6714yescomplemented
367C2×M16C22×D312yes—
368C22×C8—21no—
369C22×C8—61no—
370C22⋊Q8—64no—
371C22⋊Q8—64no—
372C22⋊Q8—64no—
373C22⋊Q8—64no—
374#121—64no—
375#121—64no—
376#121—68no—
377#121—64no—
378#121—68no—
379#121—64no—
380C2×C4⋊C4—32no—
381C2×C4⋊C4—32no—
382C2×C4⋊C4—62no—
383C2×C4⋊C4—61no—
384C2×C4⋊C4—61no—
385C2×C4⋊C4—61no—
386C2×C4⋊C4—61no—
387C2×C22⋊C4—62no—
388C2×C22⋊C4—62no—
389C2×C22⋊C4—68no—
390C2×C22⋊C4—128no—
391C2×C42—22no—
392C2×C42—22no—
393C2×C42—21no—
394C2×C42C22×D312yes—
395#104—28no—
396#104—68no—
397C23×C3—22no—
398C23×C3—22no—
399C23×C3—22no—
400C23×C3—42no—
401C23×C3—42no—
402C23×C3—42no—
403C23×C3#12011yescharacteristic
404C23×C3#12011yescharacteristic
405C23×C3#12112yes—
406C23×C3#12712yes—
407C23×C3C22×D411yescharacteristic
408C22×D3—22no—
409C22×D3—24no—
410C22×D3—44no—
411C22×D3—44no—
412C22×D3—416no—
413C22×D3—42no—
414C22×D3—42no—
415C22×D3—42no—
416C22×D3—44no—
417C22×D3—44no—
418C22×D3—42no—
419C22×D3—42no—
420C22×D3—82no—
421C22×D3—82no—
422C22×D3—88no—
423C22×D3—82no—
424C22×D3—82no—
425C3×Q8—22no—
426C3×Q8—22no—
427C3×Q8—42no—
428C3×D4—22no—
429C3×D4—22no—
430C3×D4—42no—
431C3×D4—42no—
432C3×D4—44no—
433C3×D4—42no—
434C2×C3×C4—24no—
435C2×C3×C4—22no—
436C2×C3×C4—42no—
437C2×C3×C4—48no—
438C2×C3×C4—42no—
439C2×C3×C4—42no—
440C2×C3×C4—42no—
441C2×C3×C4—42no—
442C2×C3×C4—44no—
443C2×C3×C4#12012yes—
444C2×C3×C4#12012yes—
445C2×C3×C4#12011yescharacteristic
446C2×C3×C4#12011yescharacteristic
447C2×C3×C4#12012yes—
448C2×C3×C4#12012yes—
449C2×C3×C4#12112yes—
450C2×C3×C4#12112yes—
451C2×C3×C4#12112yes—
452C2×C3×C4#12112yes—
453C2×C3×C4#12112yes—
454C2×C3×C4#12712yes—
455C2×C3×C4C22×D411yescharacteristic
456C2×C3×C4C22×D411yescharacteristic
457C2×C3×C4C22×D411yescharacteristic
458C2×C3×C4C22×D411yescharacteristic
459C2×C3×C4C22×D411yescharacteristic
460C2×C3×C4C2×#4111yescharacteristic
461#67—42no—
462#67—42no—
463#67—44no—
464#67—88no—
465C2×Dic3—22no—
466C2×Dic3—24no—
467C2×Dic3—42no—
468C2×Dic3—44no—
469C2×Dic3—44no—
470C2×Dic3—82no—
471D12—24no—
472D12—22no—
473D12—24no—
474D12—22no—
475D12—42no—
476D12—42no—
477D12—44no—
478D12—44no—
479D12—42no—
480C4×D3—42no—
481C4×D3—42no—
482C4×D3—44no—
483Dic6—22no—
484Dic6—22no—
485Dic6—42no—
486C3×C8—24no—
487C3⋊C8—24no—
488C24—21no—
489C24—61no—
490C24—64no—
491C24—62no—
492C24—124no—
493C24—124no—
494C24—121no—
495C24—121no—
496C24—122no—
497C24D3×D411yescharacteristic
498#41—24no—
499#41—24no—
500#41—22no—
501#41—22no—
502#41—22no—
503#41—22no—
504#41—42no—
505#41—42no—
506#41—42no—
507#41—42no—
508#41—64no—
509#41—64no—
510#41—62no—
511#41—62no—
512#41—62no—
513#41—62no—
514#41—122no—
515#41—122no—
516#41—122no—
517#41—122no—
518C2×Q8—21no—
519C2×Q8—22no—
520C2×Q8—22no—
521C2×Q8—32no—
522C2×Q8—61no—
523C2×Q8—62no—
524C2×Q8—62no—
525C2×Q8C2×D1212yes—
526C2×D4—22no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—21no—
530C2×D4—22no—
531C2×D4—32no—
532C2×D4—34no—
533C2×D4—42no—
534C2×D4—42no—
535C2×D4—62no—
536C2×D4—62no—
537C2×D4—68no—
538C2×D4—64no—
539C2×D4—64no—
540C2×D4—61no—
541C2×D4—62no—
542C2×D4—64no—
543C2×D4—62no—
544C2×D4—64no—
545C2×D4—64no—
546C2×D4—62no—
547C2×D4—62no—
548C2×D4—62no—
549C2×D4—62no—
550C2×D4—62no—
551C2×D4—122no—
552C2×D4—122no—
553C2×D4—121no—
554C2×D4—121no—
555C2×D4—122no—
556C2×D4—122no—
557C2×D4—122no—
558C2×D4—122no—
559C2×D4—122no—
560C2×D4—244no—
561C2×D4C2×D1212yes—
562C22×C4—24no—
563C22×C4—21no—
564C22×C4—22no—
565C22×C4—22no—
566C22×C4—22no—
567C22×C4—34no—
568C22×C4—42no—
569C22×C4—42no—
570C22×C4—42no—
571C22×C4—42no—
572C22×C4—62no—
573C22×C4—61no—
574C22×C4—62no—
575C22×C4—62no—
576C22×C4—62no—
577C22×C4—122no—
578C22×C4—122no—
579C22×C4—124no—
580C22×C4C2×D1211yescharacteristic
581C22×C4C2×D1211yescharacteristic
582C22×C4#23512yes—
583C22×C4D3×D411yescharacteristic
584C22×C4D3×D412yes—
585C22×C4D3×D412yes—
586C22×C4D3×D411yescharacteristic
587C22×C4D3×D411yescharacteristic
588C22×C4C2×#6712yes—
589C22×C4C23×D311yescharacteristic
590SD16—616no—
591SD16—616no—
592D8—616no—
593D8—616no—
594M16—24no—
595M16—22no—
596M16—34no—
597M16—64no—
598M16—62no—
599M16C2×#6714yescomplemented
600C2×C8—24no—
601C2×C8—22no—
602C2×C8—64no—
603C2×C8—62no—
604C4⋊C4—68no—
605C4⋊C4—62no—
606C4⋊C4—62no—
607C4⋊C4—62no—
608C4⋊C4—62no—
609C22⋊C4—68no—
610C22⋊C4—68no—
611C22⋊C4—1216no—
612C42—22no—
613C42—22no—
614C42—42no—
615C22×C3—21no—
616C22×C3—21no—
617C22×C3—21no—
618C22×C3—21no—
619C22×C3—24no—
620C22×C3—24no—
621C22×C3—42no—
622C22×C3—42no—
623C22×C3—42no—
624C22×C3—84no—
625C22×C3#39212yes—
626C22×C3#39212yes—
627C22×C3#45312yes—
628C22×C3#45412yes—
629C22×C3C2×#12011yescharacteristic
630C22×C3C2×#12111yescharacteristic
631C22×C3C2×#12711yescharacteristic
632C2×D3—48no—
633C2×D3—42no—
634C2×D3—44no—
635C2×D3—42no—
636C2×D3—42no—
637C2×D3—84no—
638C2×D3—88no—
639C2×D3—82no—
640C2×D3—82no—
641C2×D3—84no—
642C2×D3—88no—
643C3×C4—44no—
644C3×C4—42no—
645C3×C4#39212yes—
646C3×C4#39212yes—
647C3×C4C2×#12011yescharacteristic
648C3×C4C2×#12011yescharacteristic
649C3×C4C2×#12111yescharacteristic
650C3×C4C2×#12111yescharacteristic
651Dic3—42no—
652Dic3—44no—
653C23—22no—
654C23—22no—
655C23—22no—
656C23—42no—
657C23—42no—
658C23—42no—
659C23—62no—
660C23—64no—
661C23—124no—
662C23—124no—
663C23—1216no—
664C23—122no—
665C23—124no—
666C23—124no—
667C23—122no—
668C23—122no—
669C23—122no—
670C23—122no—
671C23—242no—
672C23—242no—
673C23—248no—
674C23—242no—
675C23—242no—
676C23#88211yescharacteristic
677C23#88211yescharacteristic
678C23#88412yes—
679C23#94012yes—
680C23C2×D3×D411yescharacteristic
681Q8—22no—
682Q8—22no—
683Q8—42no—
684Q8—62no—
685Q8—62no—
686Q8—122no—
687D4—22no—
688D4—22no—
689D4—44no—
690D4—42no—
691D4—42no—
692D4—42no—
693D4—64no—
694D4—62no—
695D4—62no—
696D4—64no—
697D4—124no—
698D4—122no—
699D4—122no—
700D4—124no—
701D4—124no—
702D4—122no—
703D4—122no—
704D4—122no—
705D4—248no—
706C2×C4—24no—
707C2×C4—22no—
708C2×C4—42no—
709C2×C4—48no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—44no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—64no—
716C2×C4—62no—
717C2×C4—122no—
718C2×C4—124no—
719C2×C4—124no—
720C2×C4—122no—
721C2×C4—122no—
722C2×C4—124no—
723C2×C4—242no—
724C2×C4#88211yescharacteristic
725C2×C4#88211yescharacteristic
726C2×C4#88212yes—
727C2×C4#88212yes—
728C2×C4#88412yes—
729C2×C4#88412yes—
730C2×C4#88412yes—
731C2×C4#93012yes—
732C2×C4#93012yes—
733C2×C4#93712yes—
734C2×C4#93712yes—
735C2×C4#94012yes—
736C2×C4C22×D1211yescharacteristic
737C2×C4C2×#23511yescharacteristic
738C2×C4C2×D3×D411yescharacteristic
739C2×C4C2×D3×D411yescharacteristic
740C2×C4C2×D3×D411yescharacteristic
741C2×C4C22×#6711yescharacteristic
742C8—24no—
743C8—64no—
744C2×C3—21no—
745C2×C3—21no—
746C2×C3—22no—
747C2×C3—82no—
748C2×C3#200614yescomplemented
749C2×C3C2×#39211yescharacteristic
750C2×C3C2×#45311yescharacteristic
751C2×C3C2×#45411yescharacteristic
752D3—82no—
753D3—84no—
754C22—21no—
755C22—21no—
756C22—21no—
757C22—21no—
758C22—24no—
759C22—24no—
760C22—42no—
761C22—42no—
762C22—42no—
763C22—84no—
764C22—128no—
765C22—122no—
766C22—122no—
767C22—122no—
768C22—124no—
769C22—244no—
770C22—248no—
771C22—242no—
772C22—242no—
773C22—248no—
774C22—244no—
775C22#482212yes—
776C22#482712yes—
777C22#496012yes—
778C22#496012yes—
779C22C2×#88211yescharacteristic
780C22C2×#88411yescharacteristic
781C22C2×#94011yescharacteristic
782C4—44no—
783C4—42no—
784C4—124no—
785C4—122no—
786C4#496012yes—
787C4#496012yes—
788C4C2×#88211yescharacteristic
789C4C2×#88411yescharacteristic
790C4C2×#93011yescharacteristic
791C4C2×#93711yescharacteristic
792C3C2×#200611yescharacteristic, complemented, Sylow
793C2—21no—
794C2—21no—
795C2—22no—
796C2—82no—
797C2—244no—
798C2—242no—
799C2#7039214yesdirect product factor
800C2C2×#482211yescharacteristic
801C2C2×#482711yescharacteristic
802C2C2×#496011yescharacteristic
subgroupG/H
centerC23#882
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC22×C3×#104C2
socleC23×C3#120
hypercenterC22×#104D3
hypocenterC3C2×#2006
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#104

Complements

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

NH ≅ G/Ntype
1. C2×#5833C2semidirect
2. C22×#949C2semidirect
3. C22×#908C2semidirect
4. C22×C3×#104C2semidirect
5. C2×#4939C2semidirect
6. C22×#805C2semidirect
7. C2×#4554C2semidirect
8. #70392C2direct (N × H)
18. #5833C22semidirect
22. C2×#949C22semidirect
36. C2×#908C22semidirect
40. C2×C3×#104C22semidirect
42. #4939C22semidirect
44. C2×#805C22semidirect
45. #4554C22semidirect
50. C22×#104D3semidirect
89. C22×D12D4semidirect
95. C2×C3×M16D4semidirect
132. C2×#208D4semidirect
176. C2×#104C2×D3semidirect
273. C2×D12C2×D4semidirect
284. C3×M16C2×D4semidirect
302. #208C2×D4semidirect
366. C2×M16#67semidirect
599. M16C2×#67semidirect
748. C2×C3#2006semidirect
792. C3C2×#2006semidirect
799. C2#70392direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#58332
C22×#9492
C22×#9082
C22×C3×#1042
C2×#49392
C22×#8052
C2×#45542
#703922
C2×#20063