Finite Group Databasebeta

← C2×#79760 #11675689

Subgroups — C2×#79760 #11675689

Order 768.

2006 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5569C211yesmaximal, characteristic, complemented
2C2×D4×Dic6C211yesmaximal, characteristic
3C2×C3×#440C211yesmaximal, characteristic
4C2×#5164C211yesmaximal, characteristic
5C2×Dic3×SD16C211yesmaximal, characteristic
6C2×#5021C211yesmaximal, characteristic, complemented
7C2×#5009C211yesmaximal, characteristic
8#79760C2116yesmaximal, direct product factor
9C2×#4876C211yesmaximal, characteristic, complemented
10C2×#4874C211yesmaximal, characteristic, complemented
11C2×#4793C211yesmaximal, characteristic, complemented
12C2×#4791C211yesmaximal, characteristic, complemented
13C2×#4763C211yesmaximal, characteristic
14C2×#4759C211yesmaximal, characteristic
15C2×#4702C211yesmaximal, characteristic, complemented
16C2×#4701C211yesmaximal, characteristic, complemented
17C2×#3386—31nomaximal, Sylow
18C23×Dic6—21no—
19C22×C3×SD16C2211yescharacteristic
20C2×C3×C4×Q8C2211yescharacteristic
21C2×C3×C4×D4C2211yescharacteristic
22C2×Q8×Dic3C2211yescharacteristic
23C2×Q8×Dic3C2211yescharacteristic
24C2×D4×Dic3C2211yescharacteristic
25C2×D4×Dic3C2211yescharacteristic
26C2×#924—21no—
27#5569—24no—
28#5569C2218yescomplemented
29D4×Dic6—24no—
30D4×Dic6C2218yes—
31C2×#890—21no—
32C2×#890C2211yescharacteristic
33C2×#888—21no—
34C2×#888C2211yescharacteristic
35C2×#888C2211yescharacteristic
36C2×#888C2211yescharacteristic
37C2×#878—21no—
38C2×#878—21no—
39C2×#870—21no—
40C2×#870C2211yescharacteristic
41C2×#869C2211yescharacteristic
42C2×C4×Dic6—21no—
43C2×C4×Dic6C2211yescharacteristic
44C3×#440C2218yes—
45C2×C3×#107C2211yescharacteristic
46C2×C3×#103C2211yescharacteristic
47C2×C3×#102C2211yescharacteristic
48C2×C3×#97C2211yescharacteristic
49C2×#835C2211yescharacteristic
50C2×#835C2211yescharacteristic
51C2×#832C2211yescharacteristic
52C2×#832C2211yescharacteristic
53#5164C2218yes—
54Dic3×SD16C2218yes—
55C2×#818C2211yescharacteristic
56C2×#818C2211yescharacteristic
57C2×#817C2211yescharacteristic
58C2×#817C2211yescharacteristic
59C2×#815C2211yescharacteristic
60C2×Dic3⋊C8C2211yescharacteristic
61C2×Dic3⋊C8C2211yescharacteristic
62C2×C8×Dic3C2211yescharacteristic
63#5021C2218yescomplemented
64#5009C2218yes—
65C2×#808C2211yescharacteristic
66C2×#807C2211yescharacteristic
67C2×#807C2211yescharacteristic
68C2×#807C2211yescharacteristic
69C2×C4⋊(C3⋊C8)C2211yescharacteristic
70#4876C2218yescomplemented
71#4874C2218yescomplemented
72#4793C2218yescomplemented
73#4791C2218yescomplemented
74#4763C2218yes—
75#4759C2218yes—
76#4702C2218yescomplemented
77#4701C2218yescomplemented
78C2×#557—31no—
79C2×D4×Q8—31no—
80#3386—316no—
81C2×#501—31no—
82C2×#501—31no—
83C2×#500—31no—
84C2×#477—31no—
85C2×#477—31no—
86C2×#475—31no—
87C2×#478—31no—
88C2×#478—31no—
89C2×#474—31no—
90C2×#446—31no—
91C2×#440—31no—
92C2×#440D311yescharacteristic
93C2×C4×SD16—31no—
94C22×C3×Q8C2311yescharacteristic
95C22×C3×D4C2311yescharacteristic
96C23×C3×C4—21no—
97C23×Dic3—21no—
98C23×Dic3—21no—
99C22×Dic6—21no—
100C22×Dic6—21no—
101C22×Dic6—21no—
102C22×Dic6—21no—
103C22×Dic6—28no—
104C22×Dic6—48no—
105C22×Dic6D411yescharacteristic
106C2×C3×SD16Q818yescomplemented
107C2×C3×SD16C2314yes—
108C22×C3×C8C2311yescharacteristic
109C22×C3×C8C2311yescharacteristic
110C3×C4×Q8—22no—
111C3×C4×Q8C2314yes—
112C3×C4×D4—22no—
113C3×C4×D4C2314yes—
114C2×C3×C4⋊C4—21no—
115C2×C3×C4⋊C4C2311yescharacteristic
116C2×C3×C4⋊C4C2311yescharacteristic
117C2×C3×C22⋊C4—21no—
118C2×C3×C42—21no—
119C2×C3×C42C2311yescharacteristic
120C2×#217—21no—
121C2×#217—21no—
122Q8×Dic3—22no—
123Q8×Dic3—22no—
124Q8×Dic3C2314yes—
125Q8×Dic3C2314yes—
126D4×Dic3—22no—
127D4×Dic3—22no—
128D4×Dic3C2314yes—
129D4×Dic3C2314yes—
130C2×C4⋊Dic3—21no—
131C2×C4⋊Dic3—21no—
132C2×C4⋊Dic3—21no—
133C2×C4⋊Dic3—21no—
134C2×C4⋊Dic3D411yescharacteristic
135C2×C4⋊Dic3C2311yescharacteristic
136C2×C4⋊Dic3C2311yescharacteristic
137C2×C4⋊Dic3C2311yescharacteristic
138C2×C4⋊Dic3C2311yescharacteristic
139#924—28no—
140C2×Dic3⋊C4—21no—
141C2×Dic3⋊C4—21no—
142C2×Dic3⋊C4—21no—
143C2×Dic3⋊C4—21no—
144C2×Dic3⋊C4—21no—
145C2×Dic3⋊C4—21no—
146C2×Dic3⋊C4D411yescharacteristic
147C2×Dic3⋊C4D411yescharacteristic
148C2×C4×Dic3—21no—
149C2×C4×Dic3—21no—
150C2×C4×Dic3C2311yescharacteristic
151C2×C4×Dic3C2311yescharacteristic
152C22×C3⋊C8C2311yescharacteristic
153C22×C3⋊C8C2311yescharacteristic
154#890—28no—
155#890—22no—
156#890C2314yes—
157#888—28no—
158#888—22no—
159#888—22no—
160#888—22no—
161#888C2314yes—
162#888C2314yes—
163#888C2314yes—
164#878—28no—
165#878—28no—
166#870—22no—
167#870—28no—
168#870C2314yes—
169#869—22no—
170#869C2314yes—
171C4×Dic6—28no—
172C4×Dic6D414yes—
173C4×Dic6C2314yes—
174C3×#107C2314yes—
175C3×#103C2314yes—
176C3×#102C2314yes—
177C3×#97C2314yes—
178#835C2314yes—
179#835C2314yes—
180#832C2314yes—
181#832C2314yes—
182#818C2314yes—
183#818C2314yes—
184#817C2314yes—
185#817C2314yes—
186#815C2314yes—
187Dic3⋊C8C2314yes—
188Dic3⋊C8C2314yes—
189C8×Dic3C2314yes—
190#808C2314yes—
191#807C2314yes—
192#807C2314yes—
193#807C2314yes—
194C4⋊(C3⋊C8)C2314yes—
195C23×Q8—61no—
196C22×SD16C2×D311yescharacteristic
197#557—38no—
198#557—64no—
199D4×Q8—38no—
200D4×Q8—64no—
201C2×C4⋊Q8—31no—
202C2×C4⋊Q8—31no—
203C2×C4⋊Q8—31no—
204C2×C4⋊Q8—31no—
205C2×C4⋊Q8—61no—
206C2×#125—31no—
207C2×#125—31no—
208C2×#125—61no—
209C2×#125—61no—
210C2×C22⋊Q8—61no—
211C2×C22⋊Q8—61no—
212C2×C22⋊Q8—61no—
213C2×C4×Q8—31no—
214C2×C4×Q8—31no—
215C2×C4×Q8—31no—
216C2×C4×Q8—61no—
217C2×C4×Q8C2×D311yescharacteristic
218C2×C4×D4—31no—
219C2×C4×D4—31no—
220C2×C4×D4C2×D311yescharacteristic
221#501—38no—
222#501—38no—
223#500—38no—
224#478—38no—
225#478—38no—
226#477—38no—
227#477—38no—
228#475—38no—
229#474—38no—
230#446—38no—
231#440—38no—
232#440C2×D318yes—
233C4×SD16—38no—
234C2×#107—31no—
235C2×#107—31no—
236C2×#107—31no—
237C2×#107—31no—
238C2×#107—31no—
239C2×#107C2×D311yescharacteristic
240C2×#106—31no—
241C2×#106—31no—
242C2×#106—31no—
243C2×C4⋊C8—31no—
244C2×C4⋊C8—31no—
245C2×C4⋊C8—31no—
246C2×#103—31no—
247C2×#103—31no—
248C2×#103C2×D311yescharacteristic
249C2×#102—31no—
250C2×#102—31no—
251C2×#102C2×D311yescharacteristic
252C2×#97—31no—
253C2×#97C2×D311yescharacteristic
254C2×C4×C8—31no—
255C24×C3—21no—
256C2×C3×Q8—21no—
257C2×C3×Q8—22no—
258C2×C3×Q8C2×Q814yescomplemented
259C2×C3×Q8C2412yes—
260C2×C3×D4—21no—
261C2×C3×D4—22no—
262C2×C3×D4C2×Q814yes—
263C2×C3×D4C2412yes—
264C22×C3×C4—21no—
265C22×C3×C4—21no—
266C22×C3×C4—21no—
267C22×C3×C4—24no—
268C22×C3×C4—44no—
269C22×C3×C4C2×D411yescharacteristic
270C22×C3×C4C2×D411yescharacteristic
271C22×C3×C4C2411yescharacteristic
272C22×Dic3—21no—
273C22×Dic3—21no—
274C22×Dic3—21no—
275C22×Dic3—21no—
276C22×Dic3—24no—
277C22×Dic3—24no—
278C22×Dic3—44no—
279C22×Dic3—44no—
280C22×Dic3C2×D411yescharacteristic
281C22×Dic3C2×D411yescharacteristic
282C22×Dic3C2×D411yescharacteristic
283C22×Dic3C2×D411yescharacteristic
284C2×Dic6—24no—
285C2×Dic6—24no—
286C2×Dic6—24no—
287C2×Dic6—24no—
288C2×Dic6—24no—
289C2×Dic6—432no—
290C2×Dic6—44no—
291C2×Dic6—44no—
292C2×Dic6—44no—
293C2×Dic6—44no—
294C2×Dic6C2×D414yes—
295C3×SD16C2×Q8116yescomplemented
296C2×C3×C8—22no—
297C2×C3×C8C2×Q814yescomplemented
298C2×C3×C8C2412yes—
299C2×C3×C8C2412yes—
300C3×C4⋊C4—21no—
301C3×C4⋊C4—24no—
302C3×C4⋊C4—21no—
303C3×C4⋊C4C2412yes—
304C3×C4⋊C4C2412yes—
305C3×C22⋊C4—24no—
306C3×C42—24no—
307C3×C42C2×D412yes—
308C3×C42C2412yes—
309#217—24no—
310#217—24no—
311C4⋊Dic3—21no—
312C4⋊Dic3—21no—
313C4⋊Dic3—24no—
314C4⋊Dic3—21no—
315C4⋊Dic3—21no—
316C4⋊Dic3—24no—
317C4⋊Dic3—24no—
318C4⋊Dic3—24no—
319C4⋊Dic3C2×D414yes—
320C4⋊Dic3C2412yes—
321C4⋊Dic3C2412yes—
322C4⋊Dic3C2412yes—
323C4⋊Dic3C2412yes—
324Dic3⋊C4—24no—
325Dic3⋊C4—24no—
326Dic3⋊C4—24no—
327Dic3⋊C4—24no—
328Dic3⋊C4—24no—
329Dic3⋊C4—24no—
330Dic3⋊C4C2×D414yes—
331Dic3⋊C4C2×D414yes—
332C4×Dic3—24no—
333C4×Dic3—24no—
334C4×Dic3C2×D412yes—
335C4×Dic3C2×D412yes—
336C4×Dic3C2412yes—
337C4×Dic3C2412yes—
338C2×C3⋊C8—22no—
339C2×C3⋊C8—22no—
340C2×C3⋊C8C2412yes—
341C2×C3⋊C8C2412yes—
342C22×Q8—31no—
343C22×Q8—61no—
344C22×Q8—61no—
345C22×Q8—61no—
346C22×Q8—68no—
347C22×Q8—61no—
348C22×Q8—128no—
349C22×Q8C22×D311yescharacteristic
350C22×D4C22×D311yescharacteristic
351C23×C4—21no—
352C23×C4—61no—
353C23×C4—61no—
354C2×SD16Dic618yescomplemented
355C2×SD16C22×D314yes—
356C22×C8—31no—
357C22×C8—31no—
358C22×C8C22×D311yescharacteristic
359C22×C8C22×D311yescharacteristic
360C4⋊Q8—34no—
361C4⋊Q8—34no—
362C4⋊Q8—34no—
363C4⋊Q8—34no—
364C4⋊Q8—62no—
365C4⋊Q8—62no—
366C4⋊Q8—62no—
367C4⋊Q8—68no—
368C4⋊Q8—62no—
369#125—34no—
370#125—34no—
371#125—68no—
372#125—62no—
373#125—68no—
374#125—62no—
375C22⋊Q8—68no—
376C22⋊Q8—68no—
377C22⋊Q8—68no—
378C4×Q8—22no—
379C4×Q8—34no—
380C4×Q8—34no—
381C4×Q8—34no—
382C4×Q8—34no—
383C4×Q8—68no—
384C4×Q8—62no—
385C4×Q8—62no—
386C4×Q8C22×D314yes—
387C4×D4—22no—
388C4×D4—34no—
389C4×D4—34no—
390C4×D4—62no—
391C4×D4—62no—
392C4×D4C22×D314yes—
393C2×C4⋊C4—21no—
394C2×C4⋊C4—31no—
395C2×C4⋊C4—31no—
396C2×C4⋊C4—31no—
397C2×C4⋊C4—31no—
398C2×C4⋊C4—31no—
399C2×C4⋊C4—31no—
400C2×C4⋊C4—31no—
401C2×C4⋊C4—61no—
402C2×C4⋊C4—61no—
403C2×C4⋊C4—61no—
404C2×C4⋊C4—61no—
405C2×C4⋊C4—61no—
406C2×C4⋊C4—61no—
407C2×C4⋊C4—61no—
408C2×C4⋊C4—61no—
409C2×C4⋊C4—61no—
410C2×C4⋊C4—61no—
411C2×C4⋊C4C22×D311yescharacteristic
412C2×C4⋊C4C22×D311yescharacteristic
413C2×C22⋊C4—21no—
414C2×C22⋊C4—61no—
415C2×C22⋊C4—61no—
416C2×C42—21no—
417C2×C42—31no—
418C2×C42—31no—
419C2×C42—61no—
420C2×C42—61no—
421C2×C42C22×D311yescharacteristic
422#107—34no—
423#107—34no—
424#107—34no—
425#107—34no—
426#107—34no—
427#107C22×D314yes—
428#106—34no—
429#106—34no—
430#106—34no—
431C4⋊C8—34no—
432C4⋊C8—34no—
433C4⋊C8—34no—
434#103—34no—
435#103—34no—
436#103C22×D314yes—
437#102—34no—
438#102—34no—
439#102C22×D314yes—
440#97—34no—
441#97C22×D314yes—
442C4×C8—34no—
443C23×C3—24no—
444C23×C3—22no—
445C23×C3—42no—
446C23×C3—42no—
447C23×C3C22×D411yescharacteristic
448C3×Q8—24no—
449C3×Q8—22no—
450C3×Q8C22×Q814yescomplemented
451C3×D4—24no—
452C3×D4—22no—
453C3×D4C22×Q814yes—
454C2×C3×C4—24no—
455C2×C3×C4—22no—
456C2×C3×C4—22no—
457C2×C3×C4—22no—
458C2×C3×C4—22no—
459C2×C3×C4—22no—
460C2×C3×C4—48no—
461C2×C3×C4—42no—
462C2×C3×C4—42no—
463C2×C3×C4C22×D412yes—
464C2×C3×C4C22×D412yes—
465C2×C3×C4C22×D411yescharacteristic
466C2×C3×C4C22×Q812yes—
467C2×C3×C42−1+412yes—
468C2×C3×C4C2511yescharacteristic
469C2×Dic3—22no—
470C2×Dic3—22no—
471C2×Dic3—22no—
472C2×Dic3—22no—
473C2×Dic3—22no—
474C2×Dic3—22no—
475C2×Dic3—22no—
476C2×Dic3—48no—
477C2×Dic3—42no—
478C2×Dic3—42no—
479C2×Dic3—42no—
480C2×Dic3—42no—
481C2×Dic3—48no—
482C2×Dic3AGL(1,ℤ/8)14yes—
483C2×Dic3C22×D412yes—
484C2×Dic3C22×D412yes—
485C2×Dic3C22×D412yes—
486C2×Dic3C22×D412yes—
487Dic6—28no—
488Dic6—48no—
489Dic6—48no—
490Dic6—48no—
491Dic6—48no—
492C3×C8—22no—
493C3×C8C22×Q814yescomplemented
494C3⋊C8—22no—
495C3⋊C8—22no—
496C24—21no—
497C2×Q8—21no—
498C2×Q8—22no—
499C2×Q8—34no—
500C2×Q8—64no—
501C2×Q8—64no—
502C2×Q8—64no—
503C2×Q8—64no—
504C2×Q8—64no—
505C2×Q8—124no—
506C2×Q8—124no—
507C2×Q8—124no—
508C2×Q8—124no—
509C2×Q8—1232no—
510C2×Q8C2×Dic614yescomplemented
511C2×Q8C23×D312yes—
512C2×D4—21no—
513C2×D4—22no—
514C2×D4C2×Dic614yes—
515C2×D4C23×D312yes—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—24no—
520C22×C4—31no—
521C22×C4—31no—
522C22×C4—31no—
523C22×C4—31no—
524C22×C4—44no—
525C22×C4—64no—
526C22×C4—64no—
527C22×C4—61no—
528C22×C4—61no—
529C22×C4—61no—
530C22×C4—61no—
531C22×C4—124no—
532C22×C4—124no—
533C22×C4D3×D411yescharacteristic
534C22×C4D3×D411yescharacteristic
535C22×C4C23×D311yescharacteristic
536SD16C2×Dic6116yescomplemented
537C2×C8—22no—
538C2×C8—32no—
539C2×C8—32no—
540C2×C8—62no—
541C2×C8—62no—
542C2×C8C2×Dic614yescomplemented
543C2×C8C23×D312yes—
544C2×C8C23×D312yes—
545C4⋊C4—24no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—34no—
549C4⋊C4—34no—
550C4⋊C4—34no—
551C4⋊C4—32no—
552C4⋊C4—32no—
553C4⋊C4—32no—
554C4⋊C4—32no—
555C4⋊C4—64no—
556C4⋊C4—64no—
557C4⋊C4—64no—
558C4⋊C4—64no—
559C4⋊C4—64no—
560C4⋊C4—64no—
561C4⋊C4—64no—
562C4⋊C4—61no—
563C4⋊C4—61no—
564C4⋊C4—61no—
565C4⋊C4—61no—
566C4⋊C4—64no—
567C4⋊C4—64no—
568C4⋊C4—64no—
569C4⋊C4C23×D312yes—
570C4⋊C4C23×D312yes—
571C22⋊C4—24no—
572C22⋊C4—64no—
573C22⋊C4—64no—
574C42—24no—
575C42—32no—
576C42—32no—
577C42—32no—
578C42—32no—
579C42—64no—
580C42—64no—
581C42D3×D412yes—
582C42C23×D312yes—
583C22×C3—24no—
584C22×C3—48no—
585C22×C3—42no—
586C22×C3—42no—
587C22×C3D4×Q812yes—
588C22×C3C2×AGL(1,ℤ/8)12yes—
589C22×C3#57812yes—
590C22×C3C23×D411yescharacteristic
591C3×C4—24no—
592C3×C4—22no—
593C3×C4—22no—
594C3×C4—42no—
595C3×C4—42no—
596C3×C4D4×Q812yes—
597C3×C4C23×Q811yescharacteristic
598C3×C4C2×2−1+411yescharacteristic
599Dic3—22no—
600Dic3—22no—
601Dic3—22no—
602Dic3—42no—
603Dic3—42no—
604Dic3—42no—
605Dic3—42no—
606Dic3C2×AGL(1,ℤ/8)14yes—
607C23—22no—
608C23—24no—
609C23—42no—
610C23—42no—
611C23C2×D3×D411yescharacteristic
612Q8—22no—
613Q8—24no—
614Q8—68no—
615Q8—128no—
616Q8—128no—
617Q8—128no—
618Q8—128no—
619Q8C22×Dic614yescomplemented
620D4—22no—
621D4—24no—
622D4C22×Dic614yes—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—32no—
630C2×C4—34no—
631C2×C4—32no—
632C2×C4—32no—
633C2×C4—32no—
634C2×C4—48no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—62no—
638C2×C4—62no—
639C2×C4—62no—
640C2×C4—62no—
641C2×C4—62no—
642C2×C4—62no—
643C2×C4—62no—
644C2×C4—128no—
645C2×C4—128no—
646C2×C4—122no—
647C2×C4—122no—
648C2×C4—122no—
649C2×C4—122no—
650C2×C4C22×Dic612yes—
651C2×C4C2×D3×D412yes—
652C2×C4C2×D3×D412yes—
653C2×C4C2×D3×D411yescharacteristic
654C2×C4#101012yes—
655C2×C4C24×D311yescharacteristic
656C8—22no—
657C8—62no—
658C8—62no—
659C8C22×Dic614yescomplemented
660C2×C3—44no—
661C2×C3#338614yescomplemented
662C2×C3C2×D4×Q811yescharacteristic
663C2×C3C22×AGL(1,ℤ/8)11yescharacteristic
664C2×C3C2×#57811yescharacteristic
665C22—24no—
666C22—48no—
667C22—42no—
668C22—42no—
669C22D4×Dic612yes—
670C22D3×AGL(1,ℤ/8)12yes—
671C22#577912yes—
672C22C22×D3×D411yescharacteristic
673C4—22no—
674C4—22no—
675C4—24no—
676C4—34no—
677C4—42no—
678C4—42no—
679C4—62no—
680C4—62no—
681C4—62no—
682C4—122no—
683C4—122no—
684C4—122no—
685C4—122no—
686C4D4×Dic612yes—
687C4C23×Dic611yescharacteristic
688C4C2×#101011yescharacteristic
689C3C2×#338611yescharacteristic, complemented, Sylow
690C2—44no—
691C2#7976014yesdirect product factor
692C2C2×D4×Dic611yescharacteristic
693C2C2×D3×AGL(1,ℤ/8)11yescharacteristic
694C2C2×#577911yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC2×C3×#440C2
socleC23×C3C22×D4
prime radicalC22×C3×D4C23
hypercenterC2×#440D3
hypocenterC3C2×#3386
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
1. C2×#5569C2semidirect
6. C2×#5021C2semidirect
8. #79760C2direct (N × H)
9. C2×#4876C2semidirect
10. C2×#4874C2semidirect
11. C2×#4793C2semidirect
12. C2×#4791C2semidirect
15. C2×#4702C2semidirect
16. C2×#4701C2semidirect
28. #5569C22semidirect
63. #5021C22semidirect
70. #4876C22semidirect
71. #4874C22semidirect
72. #4793C22semidirect
73. #4791C22semidirect
76. #4702C22semidirect
77. #4701C22semidirect
106. C2×C3×SD16Q8semidirect
258. C2×C3×Q8C2×Q8semidirect
295. C3×SD16C2×Q8semidirect
297. C2×C3×C8C2×Q8semidirect
354. C2×SD16Dic6semidirect
450. C3×Q8C22×Q8semidirect
493. C3×C8C22×Q8semidirect
510. C2×Q8C2×Dic6semidirect
536. SD16C2×Dic6semidirect
542. C2×C8C2×Dic6semidirect
619. Q8C22×Dic6semidirect
659. C8C22×Dic6semidirect
661. C2×C3#3386semidirect
689. C3C2×#3386semidirect
691. C2#79760direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#55692
C2×D4×Dic62
C2×C3×#4402
C2×#51642
C2×Dic3×SD162
C2×#50212
C2×#50092
#797602
C2×#48762
C2×#48742
C2×#47932
C2×#47912
C2×#47632
C2×#47592
C2×#47022
C2×#47012
C2×#33863