Finite Group Databasebeta

← C2×#79603 #11670284

Subgroups — C2×#79603 #11670284

Order 768.

3226 conjugacy classes of subgroups.

The subgroup lattice has 652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#911C212yesmaximal, complemented
2C2×D4×D12C211yesmaximal, characteristic, complemented
3C2×#5555C211yesmaximal, characteristic, complemented
4C2×C3×C4×D8C211yesmaximal, characteristic, complemented
5C2×#5019C211yesmaximal, characteristic, complemented
6C2×#5015C211yesmaximal, characteristic, complemented
7#79603C2116yesmaximal, direct product factor
8C2×#4886C212yesmaximal, complemented
9C2×#4781C212yesmaximal, complemented
10C2×#4776C212yesmaximal, complemented
11C2×#4693C211yesmaximal, characteristic, complemented
12C2×#4688C211yesmaximal, characteristic, complemented
13C2×#3272—31nomaximal, Sylow
14C22×#237C2212yescomplemented
15C22×D3×D4C2212yes—
16C23×D12—21no—
17C22×C3×D8C2211yescharacteristic
18C2×C3×C4×D4C2211yescharacteristic
19C2×C3×C4×D4C2211yescharacteristic, complemented
20C22×#214C2212yes—
21C22×#213C2212yescomplemented
22C2×#930—21no—
23C2×#930—21no—
24C22×C4⋊Dic3—21no—
25C2×#911—216no—
26C2×#911C22116yescomplemented
27C22×#204C2212yescomplemented
28C22×#204C2212yescomplemented
29C22×ΓL(1,𝔽25)C2212yescomplemented
30#5555—24no—
31#5555C2218yescomplemented
32D4×D12—24no—
33D4×D12C2218yescomplemented
34C2×#897C2212yescomplemented
35C2×#895C2212yes—
36C2×#886—22no—
37C2×#882—22no—
38C2×#874C2211yescharacteristic
39C2×C4×D12C2211yescharacteristic
40C2×#869C2211yescharacteristic, complemented
41C3×C4×D8C2218yescomplemented
42C2×C3×#107C2211yescharacteristic, complemented
43C2×C3×#102C2211yescharacteristic
44C2×C3×#102C2211yescharacteristic, complemented
45C2×C3×C4×C8C2211yescharacteristic, complemented
46C2×(C2×D3)⋊C8C2212yescomplemented
47#5019C2218yescomplemented
48#5015C2218yescomplemented
49C2×#810C2212yescomplemented
50C2×#809C2212yescomplemented
51C2×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
52#4886C22116yescomplemented
53#4781C22116yescomplemented
54#4776C22116yescomplemented
55#4693C2218yescomplemented
56#4688C2218yescomplemented
57C22×AGL(1,ℤ/8)—32no—
58C2×#547—31no—
59C2×D42—31no—
60#3272—316no—
61C2×#492—31no—
62C2×#468—32no—
63C2×#461—31no—
64C2×#459—31no—
65C2×#449—32no—
66C2×#450—32no—
67C2×C4×D8D311yescharacteristic, complemented
68C2×#436—31no—
69C24×D3—22no—
70C22×C3×D4C2311yescharacteristic
71C22×C3×D4C2311yescharacteristic
72C23×C3×C4—21no—
73C23×C3×C4—21no—
74C22×#67—22no—
75C22×#67—22no—
76C23×Dic3—22no—
77C2×#237—28no—
78C2×#237—24no—
79C2×#237—44no—
80C2×#237C2318yescomplemented
81C2×D3×D4—28no—
82C2×D3×D4—24no—
83C2×D3×D4—44no—
84C2×D3×D4C2318yes—
85C22×D12—22no—
86C22×D12—21no—
87C22×D12—21no—
88C22×D12—28no—
89C22×D12—48no—
90C22×D12D411yescharacteristic
91C22×D12C2312yes—
92C22×C4×D3C2312yes—
93C22×Dic6C2312yes—
94C2×C3×D8D418yescomplemented
95C2×C3×D8C2314yes—
96C22×C3×C8C2311yescharacteristic
97C22×C3×C8C2311yescharacteristic
98C3×C4×D4—22no—
99C3×C4×D4—22no—
100C3×C4×D4C2314yes—
101C3×C4×D4C2314yescomplemented
102C2×C3×C4⋊C4C2311yescharacteristic
103C2×C3×C4⋊C4C2311yescharacteristic
104C2×C3×C22⋊C4—21no—
105C2×C3×C22⋊C4—21no—
106C2×C3×C42C2311yescharacteristic
107C2×#214—28no—
108C2×#214C2318yes—
109C2×#213—28no—
110C2×#213C2318yescomplemented
111#930—28no—
112#930—28no—
113C2×(C2×D3)⋊C4—22no—
114C2×(C2×D3)⋊C4—22no—
115C2×(C2×D3)⋊C4D412yes—
116C2×C4⋊Dic3—21no—
117C2×C4⋊Dic3—21no—
118C2×C4⋊Dic3—22no—
119C2×C4⋊Dic3—28no—
120C2×C4⋊Dic3D411yescharacteristic
121C22×C3⋊C8C2312yes—
122#911—264no—
123C2×#204—28no—
124C2×#204—44no—
125C2×#204C2318yescomplemented
126C2×#204C2318yescomplemented
127C2×ΓL(1,𝔽25)—28no—
128C2×ΓL(1,𝔽25)C2318yescomplemented
129#897—24no—
130#897C2318yescomplemented
131#895—24no—
132#895C2318yes—
133#886—216no—
134#882—216no—
135#874—22no—
136#874C2314yes—
137C4×D12D414yes—
138C4×D12C2314yes—
139#869—22no—
140#869C2314yescomplemented
141C3×#107C2314yescomplemented
142C3×#102C2314yes—
143C3×#102C2314yescomplemented
144C3×C4×C8C2314yescomplemented
145(C2×D3)⋊C8C2318yescomplemented
146#810C2318yescomplemented
147#809C2318yescomplemented
148C4⋊(C3⋊C8)C2314yescomplemented
149C22×#41—32no—
150C23×D4—32no—
151C23×D4—61no—
152C2×AGL(1,ℤ/8)—316no—
153C2×AGL(1,ℤ/8)—616no—
154C22×SD16—32no—
155C22×SD16—32no—
156C22×SD16—32no—
157C22×D8—32no—
158C22×D8C2×D311yescharacteristic
159C22×M16—32no—
160#547—38no—
161#547—64no—
162D42—38no—
163D42—64no—
164C2×C4⋊Q8—31no—
165C2×#127—31no—
166C2×#123—62no—
167C2×C22⋊Q8—32no—
168C2×#121—32no—
169C2×#121—61no—
170C2×#121—61no—
171C2×#120—62no—
172C2×C4×D4—31no—
173C2×C4×D4C2×D311yescharacteristic
174C2×C4×D4C2×D311yescharacteristic, complemented
175C22×C4⋊C4—61no—
176#492—38no—
177#468—316no—
178#461—38no—
179#459—38no—
180#450—316no—
181#449—316no—
182C4×D8C2×D318yescomplemented
183#436—38no—
184C2×#107C2×D311yescharacteristic, complemented
185C2×C4⋊C8—31no—
186C2×#103—32no—
187C2×#102—32no—
188C2×#102C2×D311yescharacteristic
189C2×#102C2×D311yescharacteristic, complemented
190C2×C22⋊C8—32no—
191C2×C4×C8C2×D311yescharacteristic, complemented
192C24×C3—21no—
193C24×C3—21no—
194C23×D3—22no—
195C23×D3—28no—
196C23×D3—48no—
197C23×D3—48no—
198C23×D3—84no—
199C23×D3C2×D412yes—
200C2×C3×D4—21no—
201C2×C3×D4—21no—
202C2×C3×D4—22no—
203C2×C3×D4—22no—
204C2×C3×D4C2×D414yes—
205C2×C3×D4C2×D414yescomplemented
206C2×C3×D4C2412yes—
207C2×C3×D4C2412yes—
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4—24no—
211C22×C3×C4—24no—
212C22×C3×C4—44no—
213C22×C3×C4—44no—
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4C2×D411yescharacteristic
216C22×C3×C4C2411yescharacteristic
217C2×#67—28no—
218C2×#67—28no—
219C2×#67—48no—
220C2×#67—48no—
221C22×Dic3—22no—
222C22×Dic3—28no—
223C22×Dic3—48no—
224C22×Dic3C2×D412yes—
225#237—216no—
226#237—48no—
227#237—416no—
228D3×D4—216no—
229D3×D4—48no—
230D3×D4—416no—
231C2×D12—24no—
232C2×D12—24no—
233C2×D12—24no—
234C2×D12—28no—
235C2×D12—22no—
236C2×D12—24no—
237C2×D12—24no—
238C2×D12—432no—
239C2×D12—48no—
240C2×D12—44no—
241C2×D12—82no—
242C2×D12C2×D414yes—
243C2×D12C2414yes—
244C2×C4×D3—24no—
245C2×C4×D3—24no—
246C2×C4×D3C2×D414yes—
247C2×C4×D3C2414yes—
248C2×Dic6—24no—
249C2×Dic6—24no—
250C2×Dic6—22no—
251C2×Dic6C2414yes—
252C3×D8C2×D4116yescomplemented
253C2×C3×C8—22no—
254C2×C3×C8C2×D414yescomplemented
255C2×C3×C8C2412yes—
256C2×C3×C8C2412yes—
257C3×C4⋊C4—21no—
258C3×C4⋊C4—21no—
259C3×C4⋊C4C2412yes—
260C3×C4⋊C4C2412yes—
261C3×C22⋊C4—24no—
262C3×C22⋊C4—24no—
263C3×C42C2×D412yes—
264C3×C42C2412yes—
265#214—216no—
266#213—216no—
267(C2×D3)⋊C4—28no—
268(C2×D3)⋊C4—28no—
269(C2×D3)⋊C4C2×D418yes—
270C4⋊Dic3—24no—
271C4⋊Dic3—24no—
272C4⋊Dic3—28no—
273C4⋊Dic3C2×D414yes—
274C2×C3⋊C8—24no—
275C2×C3⋊C8C2414yes—
276#204—216no—
277#204—48no—
278ΓL(1,𝔽25)—216no—
279C25—62no—
280C2×#41—38no—
281C2×#41—64no—
282C2×#41—68no—
283C2×#41—124no—
284C22×Q8—32no—
285C22×D4—38no—
286C22×D4—31no—
287C22×D4—32no—
288C22×D4—68no—
289C22×D4—62no—
290C22×D4—64no—
291C22×D4—62no—
292C22×D4—68no—
293C22×D4—62no—
294C22×D4—61no—
295C22×D4—61no—
296C22×D4—128no—
297C22×D4—124no—
298C22×D4C22×D311yescharacteristic
299C22×D4C22×D311yescharacteristic
300C23×C4—21no—
301C23×C4—21no—
302C23×C4—32no—
303C23×C4—62no—
304AGL(1,ℤ/8)—664no—
305C2×SD16—38no—
306C2×SD16—38no—
307C2×SD16—38no—
308C2×SD16—68no—
309C2×SD16—68no—
310C2×SD16—124no—
311C2×D8—38no—
312C2×D8—68no—
313C2×D8D1218yescomplemented
314C2×D8C22×D314yes—
315C2×M16—38no—
316C2×M16—68no—
317C22×C8—32no—
318C22×C8C22×D311yescharacteristic
319C22×C8C22×D311yescharacteristic
320C4⋊Q8—34no—
321C4⋊Q8—62no—
322#127—34no—
323#127—62no—
324#123—616no—
325C22⋊Q8—38no—
326C22⋊Q8—64no—
327#121—38no—
328#121—64no—
329#121—68no—
330#121—68no—
331#120—616no—
332C4×D4—22no—
333C4×D4—22no—
334C4×D4—34no—
335C4×D4—34no—
336C4×D4C22×D314yes—
337C4×D4C22×D314yescomplemented
338C2×C4⋊C4—31no—
339C2×C4⋊C4—68no—
340C2×C4⋊C4—62no—
341C2×C4⋊C4—61no—
342C2×C4⋊C4—61no—
343C2×C4⋊C4C22×D311yescharacteristic
344C2×C4⋊C4C22×D311yescharacteristic
345C2×C22⋊C4—21no—
346C2×C22⋊C4—21no—
347C2×C22⋊C4—32no—
348C2×C22⋊C4—62no—
349C2×C22⋊C4—62no—
350C2×C42C22×D311yescharacteristic
351#107C22×D314yescomplemented
352C4⋊C8—34no—
353#103—38no—
354#102—38no—
355#102C22×D314yes—
356#102C22×D314yescomplemented
357C22⋊C8—38no—
358C4×C8C22×D314yescomplemented
359C23×C3—24no—
360C23×C3—24no—
361C23×C3—22no—
362C23×C3—22no—
363C23×C3—42no—
364C23×C3—42no—
365C23×C3—42no—
366C23×C3—42no—
367C23×C3C22×D411yescharacteristic
368C22×D3—24no—
369C22×D3—24no—
370C22×D3—24no—
371C22×D3—24no—
372C22×D3—416no—
373C22×D3—416no—
374C22×D3—44no—
375C22×D3—44no—
376C22×D3—44no—
377C22×D3—88no—
378C22×D3—832no—
379C22×D3C22×D414yes—
380C3×D4—24no—
381C3×D4—24no—
382C3×D4—22no—
383C3×D4—22no—
384C3×D4C22×D414yes—
385C3×D4C22×D414yescomplemented
386C2×C3×C4—22no—
387C2×C3×C4—22no—
388C2×C3×C4—22no—
389C2×C3×C4—42no—
390C2×C3×C4—42no—
391C2×C3×C4—48no—
392C2×C3×C4—48no—
393C2×C3×C4AGL(1,ℤ/8)14yescomplemented
394C2×C3×C4C22×D412yes—
395C2×C3×C4C22×D412yes—
396C2×C3×C4C22×D411yescharacteristic
397C2×C3×C4C22×D412yes—
398C2×C3×C4H(5,𝔽2)12yes—
399C2×C3×C4C2511yescharacteristic
400#67—416no—
401#67—416no—
402C2×Dic3—24no—
403C2×Dic3—24no—
404C2×Dic3—416no—
405C2×Dic3—44no—
406C2×Dic3C22×D414yes—
407D12—28no—
408D12—24no—
409D12—24no—
410D12—416no—
411D12—44no—
412D12—48no—
413D12—84no—
414C4×D3—28no—
415C4×D3—24no—
416C4×D3—24no—
417Dic6—24no—
418Dic6—24no—
419Dic6—44no—
420C3×C8—22no—
421C3×C8C22×D414yescomplemented
422C3⋊C8—24no—
423C24—21no—
424C24—21no—
425C24—32no—
426C24—68no—
427C24—62no—
428C24—128no—
429C24—128no—
430C24—244no—
431#41—616no—
432#41—128no—
433#41—1216no—
434C2×Q8—34no—
435C2×Q8—62no—
436C2×Q8—64no—
437C2×Q8—64no—
438C2×D4—21no—
439C2×D4—21no—
440C2×D4—22no—
441C2×D4—22no—
442C2×D4—34no—
443C2×D4—34no—
444C2×D4—68no—
445C2×D4—68no—
446C2×D4—616no—
447C2×D4—68no—
448C2×D4—64no—
449C2×D4—64no—
450C2×D4—64no—
451C2×D4—62no—
452C2×D4—64no—
453C2×D4—64no—
454C2×D4—1232no—
455C2×D4—128no—
456C2×D4—128no—
457C2×D4—1216no—
458C2×D4—128no—
459C2×D4—128no—
460C2×D4—124no—
461C2×D4—242no—
462C2×D4C2×D1214yes—
463C2×D4C2×D1214yescomplemented
464C2×D4C23×D312yes—
465C2×D4C23×D312yes—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—32no—
471C22×C4—34no—
472C22×C4—34no—
473C22×C4—44no—
474C22×C4—44no—
475C22×C4—68no—
476C22×C4—64no—
477C22×C4—64no—
478C22×C4—62no—
479C22×C4—128no—
480C22×C4D3×D411yescharacteristic
481C22×C4D3×D411yescharacteristic
482C22×C4C23×D311yescharacteristic
483SD16—616no—
484SD16—616no—
485SD16—128no—
486D8—616no—
487D8C2×D12116yescomplemented
488M16—616no—
489C2×C8—22no—
490C2×C8—34no—
491C2×C8—64no—
492C2×C8C2×D1214yescomplemented
493C2×C8C23×D312yes—
494C2×C8C23×D312yes—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—34no—
498C4⋊C4—68no—
499C4⋊C4—64no—
500C4⋊C4—64no—
501C4⋊C4C23×D312yes—
502C4⋊C4C23×D312yes—
503C22⋊C4—24no—
504C22⋊C4—24no—
505C22⋊C4—38no—
506C22⋊C4—68no—
507C22⋊C4—68no—
508C42D3×D412yes—
509C42C23×D312yes—
510C22×C3—24no—
511C22×C3—24no—
512C22×C3—48no—
513C22×C3—48no—
514C22×C3—42no—
515C22×C3—42no—
516C22×C3—42no—
517C22×C3—42no—
518C22×C3D4212yes—
519C22×C3C2×AGL(1,ℤ/8)12yes—
520C22×C3#57712yes—
521C22×C3C23×D411yescharacteristic
522C2×D3—24no—
523C2×D3—24no—
524C2×D3—24no—
525C2×D3—48no—
526C2×D3—44no—
527C2×D3—44no—
528C2×D3—44no—
529C2×D3—832no—
530C2×D3—88no—
531C3×C4—22no—
532C3×C4—42no—
533C3×C4—42no—
534C3×C4D4212yes—
535C3×C4C2×AGL(1,ℤ/8)14yescomplemented
536C3×C4C23×D411yescharacteristic
537C3×C4C2×H(5,𝔽2)11yescharacteristic
538Dic3—24no—
539Dic3—44no—
540C23—22no—
541C23—22no—
542C23—24no—
543C23—24no—
544C23—34no—
545C23—42no—
546C23—42no—
547C23—42no—
548C23—42no—
549C23—64no—
550C23—64no—
551C23—64no—
552C23—64no—
553C23—1216no—
554C23—1216no—
555C23—124no—
556C23—124no—
557C23—124no—
558C23—248no—
559C23—2432no—
560C23C2×D3×D411yescharacteristic
561Q8—64no—
562Q8—64no—
563Q8—124no—
564D4—22no—
565D4—22no—
566D4—24no—
567D4—24no—
568D4—64no—
569D4—64no—
570D4—68no—
571D4—1216no—
572D4—1216no—
573D4—1216no—
574D4—128no—
575D4—124no—
576D4—244no—
577D4C22×D1214yes—
578D4C22×D1214yescomplemented
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—34no—
583C2×C4—42no—
584C2×C4—42no—
585C2×C4—48no—
586C2×C4—48no—
587C2×C4—64no—
588C2×C4—64no—
589C2×C4—64no—
590C2×C4—68no—
591C2×C4—64no—
592C2×C4—1216no—
593C2×C4—124no—
594C2×C4#91114yescomplemented
595C2×C4C22×D1212yes—
596C2×C4C2×D3×D412yes—
597C2×C4C2×D3×D412yes—
598C2×C4C2×D3×D411yescharacteristic
599C2×C4#100912yes—
600C2×C4C24×D311yescharacteristic
601C8—22no—
602C8—64no—
603C8C22×D1214yescomplemented
604C2×C3—44no—
605C2×C3—44no—
606C2×C3#327214yescomplemented
607C2×C3C2×D4211yescharacteristic
608C2×C3C22×AGL(1,ℤ/8)11yescharacteristic
609C2×C3C2×#57711yescharacteristic
610D3—44no—
611D3—84no—
612C22—24no—
613C22—24no—
614C22—42no—
615C22—42no—
616C22—42no—
617C22—42no—
618C22—48no—
619C22—48no—
620C22—64no—
621C22—64no—
622C22—64no—
623C22—128no—
624C22—124no—
625C22—124no—
626C22—124no—
627C22—2432no—
628C22—248no—
629C22D4×D1212yes—
630C22C2×#91112yes—
631C22#577012yes—
632C22C22×D3×D411yescharacteristic
633C4—22no—
634C4—42no—
635C4—42no—
636C4—64no—
637C4—124no—
638C4D4×D1212yes—
639C4C2×#91114yescomplemented
640C4C23×D1211yescharacteristic
641C4C2×#100911yescharacteristic
642C3C2×#327211yescharacteristic, complemented, Sylow
643C2—44no—
644C2—44no—
645C2—124no—
646C2—244no—
647C2#7960314yesdirect product factor
648C2C2×D4×D1211yescharacteristic
649C2C22×#91111yescharacteristic
650C2C2×#577011yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC2×C3×C4×D8C2
socleC23×C3C22×D4
hypercenterC2×C4×D8D3
hypocenterC3C2×#3272
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×D8

Complements

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

NH ≅ G/Ntype
1. C22×#911C2semidirect
2. C2×D4×D12C2semidirect
3. C2×#5555C2semidirect
4. C2×C3×C4×D8C2semidirect
5. C2×#5019C2semidirect
6. C2×#5015C2semidirect
7. #79603C2direct (N × H)
8. C2×#4886C2semidirect
9. C2×#4781C2semidirect
10. C2×#4776C2semidirect
11. C2×#4693C2semidirect
12. C2×#4688C2semidirect
14. C22×#237C22semidirect
19. C2×C3×C4×D4C22semidirect
21. C22×#213C22semidirect
26. C2×#911C22semidirect
27. C22×#204C22semidirect
28. C22×#204C22semidirect
29. C22×ΓL(1,𝔽25)C22semidirect
31. #5555C22semidirect
33. D4×D12C22semidirect
34. C2×#897C22semidirect
40. C2×#869C22semidirect
41. C3×C4×D8C22semidirect
42. C2×C3×#107C22semidirect
44. C2×C3×#102C22semidirect
45. C2×C3×C4×C8C22semidirect
46. C2×(C2×D3)⋊C8C22semidirect
47. #5019C22semidirect
48. #5015C22semidirect
49. C2×#810C22semidirect
50. C2×#809C22semidirect
51. C2×C4⋊(C3⋊C8)C22semidirect
52. #4886C22semidirect
53. #4781C22semidirect
54. #4776C22semidirect
55. #4693C22semidirect
56. #4688C22semidirect
67. C2×C4×D8D3semidirect
80. C2×#237C23semidirect
94. C2×C3×D8D4semidirect
101. C3×C4×D4C23semidirect
110. C2×#213C23semidirect
125. C2×#204C23semidirect
126. C2×#204C23semidirect
128. C2×ΓL(1,𝔽25)C23semidirect
130. #897C23semidirect
140. #869C23semidirect
141. C3×#107C23semidirect
143. C3×#102C23semidirect
144. C3×C4×C8C23semidirect
145. (C2×D3)⋊C8C23semidirect
146. #810C23semidirect
147. #809C23semidirect
148. C4⋊(C3⋊C8)C23semidirect
174. C2×C4×D4C2×D3semidirect
182. C4×D8C2×D3semidirect
184. C2×#107C2×D3semidirect
189. C2×#102C2×D3semidirect
191. C2×C4×C8C2×D3semidirect
205. C2×C3×D4C2×D4semidirect
252. C3×D8C2×D4semidirect
254. C2×C3×C8C2×D4semidirect
313. C2×D8D12semidirect
337. C4×D4C22×D3semidirect
351. #107C22×D3semidirect
356. #102C22×D3semidirect
358. C4×C8C22×D3semidirect
385. C3×D4C22×D4semidirect
393. C2×C3×C4AGL(1,ℤ/8)semidirect
421. C3×C8C22×D4semidirect
463. C2×D4C2×D12semidirect
487. D8C2×D12semidirect
492. C2×C8C2×D12semidirect
535. C3×C4C2×AGL(1,ℤ/8)semidirect
578. D4C22×D12semidirect
594. C2×C4#911semidirect
603. C8C22×D12semidirect
606. C2×C3#3272semidirect
639. C4C2×#911semidirect
642. C3C2×#3272semidirect
647. C2#79603direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#9112
C2×D4×D122
C2×#55552
C2×C3×C4×D82
C2×#50192
C2×#50152
#796032
C2×#48862
C2×#47812
C2×#47762
C2×#46932
C2×#46882
C2×#32723