Finite Group Databasebeta

← C2×#79856 #11675729

Subgroups — C2×#79856 #11675729

Order 768.

1898 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5539C211yesmaximal, characteristic, complemented
2C2×#5543C211yesmaximal, characteristic, complemented
3C2×C3×#442C211yesmaximal, characteristic
4C2×#5152C211yesmaximal, characteristic
5C2×Dic3×D8C211yesmaximal, characteristic
6C2×#5009C211yesmaximal, characteristic, complemented
7C2×#5007C211yesmaximal, characteristic, complemented
8#79856C2116yesmaximal, direct product factor
9C2×#4856C211yesmaximal, characteristic, complemented
10C2×#4858C211yesmaximal, characteristic, complemented
11C2×#4763C211yesmaximal, characteristic, complemented
12C2×#4763C211yesmaximal, characteristic, complemented
13C2×#4766C211yesmaximal, characteristic, complemented
14C2×#4759C211yesmaximal, characteristic, complemented
15C2×#4702C211yesmaximal, characteristic, complemented
16C2×#4701C211yesmaximal, characteristic, complemented
17C2×#3389—31nomaximal, Sylow
18C22×C3×D8C2211yescharacteristic
19C2×C3×C4×D4C2211yescharacteristic
20C2×C3×C4×D4C2211yescharacteristic
21C2×D4×Dic3C2211yescharacteristic
22C2×D4×Dic3C2211yescharacteristic
23C2×D4×Dic3C2211yescharacteristic
24C2×D4×Dic3C2211yescharacteristic
25C22×C4⋊Dic3—21no—
26C2×#924—21no—
27C2×#924—21no—
28C22×Dic3⋊C4—21no—
29#5543—24no—
30#5543C2218yescomplemented
31#5539—24no—
32#5539C2218yescomplemented
33C2×#890C2211yescharacteristic
34C2×#890C2211yescharacteristic
35C2×#890C2211yescharacteristic
36C2×#888C2211yescharacteristic
37C2×#878—21no—
38C2×#878—21no—
39C2×#878—21no—
40C2×#878—21no—
41C2×#870C2211yescharacteristic
42C2×#869C2211yescharacteristic
43C2×C4×Dic6C2211yescharacteristic
44C3×#442C2218yes—
45C2×C3×#106C2211yescharacteristic
46C2×C3×#102C2211yescharacteristic
47C2×C3×#102C2211yescharacteristic
48C2×C3×#97C2211yescharacteristic
49C2×#832C2211yescharacteristic
50C2×#832C2211yescharacteristic
51C2×#832C2211yescharacteristic
52C2×#832C2211yescharacteristic
53#5152C2218yes—
54Dic3×D8C2218yes—
55C2×#818C2211yescharacteristic
56C2×#818C2211yescharacteristic
57C2×#817C2211yescharacteristic
58C2×#817C2211yescharacteristic
59C2×#815C2211yescharacteristic
60C2×Dic3⋊C8C2211yescharacteristic
61C2×Dic3⋊C8C2211yescharacteristic
62C2×C8×Dic3C2211yescharacteristic
63#5009C2218yescomplemented
64#5007C2218yescomplemented
65C2×#808C2211yescharacteristic
66C2×#807C2211yescharacteristic
67C2×#807C2211yescharacteristic
68C2×#807C2211yescharacteristic
69C2×C4⋊(C3⋊C8)C2211yescharacteristic
70#4858C2218yescomplemented
71#4856C2218yescomplemented
72#4766C2218yescomplemented
73#4763C2218yescomplemented
74#4763C2218yescomplemented
75#4759C2218yescomplemented
76#4702C2218yescomplemented
77#4701C2218yescomplemented
78C2×#554—31no—
79C2×#554—31no—
80#3389—316no—
81C2×#501—31no—
82C2×#501—31no—
83C2×#499—31no—
84C2×#478—31no—
85C2×#478—31no—
86C2×#478—31no—
87C2×#478—31no—
88C2×#474—31no—
89C2×#474—31no—
90C2×#446—31no—
91C2×#442—31no—
92C2×#442D311yescharacteristic
93C2×C4×D8—31no—
94C22×C3×D4C2311yescharacteristic
95C22×C3×D4C2311yescharacteristic
96C23×C3×C4—21no—
97C23×C3×C4—21no—
98C23×Dic3—21no—
99C23×Dic3—21no—
100C23×Dic3—21no—
101C23×Dic3—21no—
102C22×Dic6—21no—
103C22×Dic6—21no—
104C22×Dic6D411yescharacteristic
105C2×C3×D8Q818yescomplemented
106C2×C3×D8C2314yes—
107C22×C3×C8C2311yescharacteristic
108C22×C3×C8C2311yescharacteristic
109C3×C4×D4—22no—
110C3×C4×D4—22no—
111C3×C4×D4C2314yes—
112C3×C4×D4C2314yes—
113C2×C3×C4⋊C4C2311yescharacteristic
114C2×C3×C4⋊C4C2311yescharacteristic
115C2×C3×C22⋊C4—21no—
116C2×C3×C22⋊C4—21no—
117C2×C3×C42C2311yescharacteristic
118C2×#217—21no—
119C2×#217—21no—
120C2×#217—21no—
121C2×#217—21no—
122D4×Dic3—22no—
123D4×Dic3—22no—
124D4×Dic3—22no—
125D4×Dic3—22no—
126D4×Dic3C2314yes—
127D4×Dic3C2314yes—
128D4×Dic3C2314yes—
129D4×Dic3C2314yes—
130C2×C4⋊Dic3—21no—
131C2×C4⋊Dic3—21no—
132C2×C4⋊Dic3—21no—
133C2×C4⋊Dic3—21no—
134C2×C4⋊Dic3—28no—
135C2×C4⋊Dic3D411yescharacteristic
136C2×C4⋊Dic3C2311yescharacteristic
137C2×C4⋊Dic3C2311yescharacteristic
138C2×C4⋊Dic3C2311yescharacteristic
139C2×C4⋊Dic3C2311yescharacteristic
140#924—28no—
141#924—28no—
142C2×Dic3⋊C4—21no—
143C2×Dic3⋊C4—21no—
144C2×Dic3⋊C4—21no—
145C2×Dic3⋊C4—21no—
146C2×Dic3⋊C4—21no—
147C2×Dic3⋊C4—21no—
148C2×Dic3⋊C4—28no—
149C2×Dic3⋊C4D411yescharacteristic
150C2×Dic3⋊C4D411yescharacteristic
151C2×C4×Dic3C2311yescharacteristic
152C2×C4×Dic3C2311yescharacteristic
153C22×C3⋊C8C2311yescharacteristic
154C22×C3⋊C8C2311yescharacteristic
155#890—22no—
156#890—22no—
157#890—22no—
158#890C2314yes—
159#890C2314yes—
160#890C2314yes—
161#888—22no—
162#888C2314yes—
163#878—28no—
164#878—28no—
165#878—28no—
166#878—28no—
167#870—22no—
168#870C2314yes—
169#869—22no—
170#869C2314yes—
171C4×Dic6D414yes—
172C4×Dic6C2314yes—
173C3×#106C2314yes—
174C3×#102C2314yes—
175C3×#102C2314yes—
176C3×#97C2314yes—
177#832C2314yes—
178#832C2314yes—
179#832C2314yes—
180#832C2314yes—
181#818C2314yes—
182#818C2314yes—
183#817C2314yes—
184#817C2314yes—
185#815C2314yes—
186Dic3⋊C8C2314yes—
187Dic3⋊C8C2314yes—
188C8×Dic3C2314yes—
189#808C2314yes—
190#807C2314yes—
191#807C2314yes—
192#807C2314yes—
193C4⋊(C3⋊C8)C2314yes—
194C22×D8C2×D311yescharacteristic
195#554—38no—
196#554—38no—
197#554—64no—
198#554—64no—
199C2×C4⋊Q8—31no—
200C2×C4⋊Q8—31no—
201C2×#125—31no—
202C2×#125—31no—
203C2×#125—31no—
204C2×#125—31no—
205C2×C22⋊Q8—61no—
206C2×C22⋊Q8—61no—
207C2×C22⋊Q8—61no—
208C2×C22⋊Q8—61no—
209C2×C22⋊Q8—61no—
210C2×C22⋊Q8—61no—
211C2×C4×Q8—31no—
212C2×C4×D4—31no—
213C2×C4×D4—31no—
214C2×C4×D4—31no—
215C2×C4×D4—31no—
216C2×C4×D4C2×D311yescharacteristic
217C2×C4×D4C2×D311yescharacteristic
218C22×C4⋊C4—61no—
219C22×C4⋊C4—61no—
220#501—38no—
221#501—38no—
222#499—38no—
223#478—38no—
224#478—38no—
225#478—38no—
226#478—38no—
227#474—38no—
228#474—38no—
229#446—38no—
230#442—38no—
231#442C2×D318yes—
232C4×D8—38no—
233C2×#107—31no—
234C2×#107—31no—
235C2×#107—31no—
236C2×#107—31no—
237C2×#107—31no—
238C2×#106—31no—
239C2×#106—31no—
240C2×#106—31no—
241C2×#106C2×D311yescharacteristic
242C2×C4⋊C8—31no—
243C2×C4⋊C8—31no—
244C2×C4⋊C8—31no—
245C2×#102—31no—
246C2×#102—31no—
247C2×#102—31no—
248C2×#102—31no—
249C2×#102C2×D311yescharacteristic
250C2×#102C2×D311yescharacteristic
251C2×#97—31no—
252C2×#97C2×D311yescharacteristic
253C2×C4×C8—31no—
254C24×C3—21no—
255C24×C3—21no—
256C2×C3×D4—21no—
257C2×C3×D4—21no—
258C2×C3×D4—22no—
259C2×C3×D4—22no—
260C2×C3×D4C2×Q814yes—
261C2×C3×D4C2×Q814yes—
262C2×C3×D4C2412yes—
263C2×C3×D4C2412yes—
264C22×C3×C4—21no—
265C22×C3×C4—21no—
266C22×C3×C4—24no—
267C22×C3×C4—24no—
268C22×C3×C4—44no—
269C22×C3×C4—82no—
270C22×C3×C4C2×D411yescharacteristic
271C22×C3×C4C2×D411yescharacteristic
272C22×C3×C4C2411yescharacteristic
273C22×Dic3—21no—
274C22×Dic3—21no—
275C22×Dic3—21no—
276C22×Dic3—21no—
277C22×Dic3—24no—
278C22×Dic3—24no—
279C22×Dic3—24no—
280C22×Dic3—24no—
281C22×Dic3—44no—
282C22×Dic3—82no—
283C22×Dic3—82no—
284C22×Dic3—82no—
285C22×Dic3C2×D411yescharacteristic
286C22×Dic3C2×D411yescharacteristic
287C22×Dic3C2×D411yescharacteristic
288C22×Dic3C2×D411yescharacteristic
289C2×Dic6—24no—
290C2×Dic6—24no—
291C2×Dic6—42no—
292C2×Dic6—82no—
293C2×Dic6—82no—
294C2×Dic6C2×D414yes—
295C3×D8C2×Q8116yescomplemented
296C2×C3×C8—22no—
297C2×C3×C8C2×Q814yes—
298C2×C3×C8C2412yes—
299C2×C3×C8C2412yes—
300C3×C4⋊C4—21no—
301C3×C4⋊C4—21no—
302C3×C4⋊C4C2412yes—
303C3×C4⋊C4C2412yes—
304C3×C22⋊C4—24no—
305C3×C22⋊C4—24no—
306C3×C42C2×D412yes—
307C3×C42C2412yes—
308#217—24no—
309#217—24no—
310#217—24no—
311#217—24no—
312C4⋊Dic3—21no—
313C4⋊Dic3—21no—
314C4⋊Dic3—24no—
315C4⋊Dic3—21no—
316C4⋊Dic3—21no—
317C4⋊Dic3—24no—
318C4⋊Dic3—24no—
319C4⋊Dic3—24no—
320C4⋊Dic3C2×D414yes—
321C4⋊Dic3C2412yes—
322C4⋊Dic3C2412yes—
323C4⋊Dic3C2412yes—
324C4⋊Dic3C2412yes—
325Dic3⋊C4—24no—
326Dic3⋊C4—24no—
327Dic3⋊C4—24no—
328Dic3⋊C4—24no—
329Dic3⋊C4—24no—
330Dic3⋊C4—24no—
331Dic3⋊C4C2×D414yes—
332Dic3⋊C4C2×D414yes—
333C4×Dic3C2×D412yes—
334C4×Dic3C2×D412yes—
335C4×Dic3C2412yes—
336C4×Dic3C2412yes—
337C2×C3⋊C8—22no—
338C2×C3⋊C8—22no—
339C2×C3⋊C8C2412yes—
340C2×C3⋊C8C2412yes—
341C22×Q8—31no—
342C22×Q8—61no—
343C22×Q8—61no—
344C22×D4C22×D311yescharacteristic
345C22×D4C22×D311yescharacteristic
346C23×C4—21no—
347C23×C4—21no—
348C23×C4—61no—
349C23×C4—61no—
350C23×C4—61no—
351C23×C4—61no—
352C2×D8Dic618yescomplemented
353C2×D8C22×D314yes—
354C22×C8—31no—
355C22×C8—31no—
356C22×C8C22×D311yescharacteristic
357C22×C8C22×D311yescharacteristic
358C4⋊Q8—34no—
359C4⋊Q8—34no—
360C4⋊Q8—62no—
361C4⋊Q8—62no—
362#125—34no—
363#125—34no—
364#125—34no—
365#125—34no—
366#125—62no—
367#125—62no—
368#125—62no—
369#125—62no—
370C22⋊Q8—68no—
371C22⋊Q8—68no—
372C22⋊Q8—68no—
373C22⋊Q8—68no—
374C22⋊Q8—68no—
375C22⋊Q8—68no—
376C4×Q8—34no—
377C4×Q8—34no—
378C4×D4—22no—
379C4×D4—22no—
380C4×D4—34no—
381C4×D4—34no—
382C4×D4—34no—
383C4×D4—34no—
384C4×D4—62no—
385C4×D4—62no—
386C4×D4—62no—
387C4×D4—62no—
388C4×D4C22×D314yes—
389C4×D4C22×D314yes—
390C2×C4⋊C4—31no—
391C2×C4⋊C4—31no—
392C2×C4⋊C4—31no—
393C2×C4⋊C4—31no—
394C2×C4⋊C4—31no—
395C2×C4⋊C4—31no—
396C2×C4⋊C4—31no—
397C2×C4⋊C4—68no—
398C2×C4⋊C4—68no—
399C2×C4⋊C4—61no—
400C2×C4⋊C4—61no—
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⋊C4C22×D311yescharacteristic
410C2×C4⋊C4C22×D311yescharacteristic
411C2×C22⋊C4—21no—
412C2×C22⋊C4—21no—
413C2×C22⋊C4—61no—
414C2×C22⋊C4—61no—
415C2×C22⋊C4—61no—
416C2×C22⋊C4—61no—
417C2×C42—31no—
418C2×C42—31no—
419C2×C42C22×D311yescharacteristic
420#107—34no—
421#107—34no—
422#107—34no—
423#107—34no—
424#107—34no—
425#106—34no—
426#106—34no—
427#106—34no—
428#106C22×D314yes—
429C4⋊C8—34no—
430C4⋊C8—34no—
431C4⋊C8—34no—
432#102—34no—
433#102—34no—
434#102—34no—
435#102—34no—
436#102C22×D314yes—
437#102C22×D314yes—
438#97—34no—
439#97C22×D314yes—
440C4×C8—34no—
441C23×C3—24no—
442C23×C3—24no—
443C23×C3—22no—
444C23×C3—22no—
445C23×C3—42no—
446C23×C3—42no—
447C23×C3—42no—
448C23×C3—42no—
449C23×C3C22×D411yescharacteristic
450C3×D4—24no—
451C3×D4—24no—
452C3×D4—22no—
453C3×D4—22no—
454C3×D4C22×Q814yes—
455C3×D4C22×Q814yes—
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×C4—84no—
464C2×C3×C4C22×D412yes—
465C2×C3×C4C22×D412yes—
466C2×C3×C4C22×D411yescharacteristic
467C2×C3×C4C22×Q812yes—
468C2×C3×C42−1+412yes—
469C2×C3×C4C2511yescharacteristic
470C2×Dic3—22no—
471C2×Dic3—22no—
472C2×Dic3—22no—
473C2×Dic3—22no—
474C2×Dic3—22no—
475C2×Dic3—22no—
476C2×Dic3—22no—
477C2×Dic3—22no—
478C2×Dic3—48no—
479C2×Dic3—42no—
480C2×Dic3—42no—
481C2×Dic3—42no—
482C2×Dic3—42no—
483C2×Dic3—84no—
484C2×Dic3—84no—
485C2×Dic3—84no—
486C2×Dic3C22×D412yes—
487C2×Dic3C22×D412yes—
488C2×Dic3C22×D412yes—
489C2×Dic3C22×D412yes—
490Dic6—44no—
491Dic6—84no—
492Dic6—84no—
493C3×C8—22no—
494C3×C8C22×Q814yes—
495C3⋊C8—22no—
496C3⋊C8—22no—
497C24—21no—
498C24—21no—
499C2×Q8—34no—
500C2×Q8—64no—
501C2×Q8—64no—
502C2×Q8—122no—
503C2×Q8—242no—
504C2×Q8—242no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—22no—
508C2×D4—22no—
509C2×D4C2×Dic614yes—
510C2×D4C2×Dic614yes—
511C2×D4C23×D312yes—
512C2×D4C23×D312yes—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—31no—
518C22×C4—31no—
519C22×C4—31no—
520C22×C4—31no—
521C22×C4—44no—
522C22×C4—64no—
523C22×C4—64no—
524C22×C4—64no—
525C22×C4—64no—
526C22×C4—61no—
527C22×C4—61no—
528C22×C4—61no—
529C22×C4—61no—
530C22×C4—82no—
531C22×C4—124no—
532C22×C4—242no—
533C22×C4—242no—
534C22×C4—242no—
535C22×C4D3×D411yescharacteristic
536C22×C4D3×D411yescharacteristic
537C22×C4C23×D311yescharacteristic
538D8C2×Dic6116yescomplemented
539C2×C8—22no—
540C2×C8—32no—
541C2×C8—32no—
542C2×C8—62no—
543C2×C8—62no—
544C2×C8C2×Dic614yes—
545C2×C8C23×D312yes—
546C2×C8C23×D312yes—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—34no—
550C4⋊C4—34no—
551C4⋊C4—34no—
552C4⋊C4—32no—
553C4⋊C4—32no—
554C4⋊C4—32no—
555C4⋊C4—32no—
556C4⋊C4—64no—
557C4⋊C4—64no—
558C4⋊C4—64no—
559C4⋊C4—64no—
560C4⋊C4—64no—
561C4⋊C4—64no—
562C4⋊C4—64no—
563C4⋊C4—61no—
564C4⋊C4—61no—
565C4⋊C4—61no—
566C4⋊C4—61no—
567C4⋊C4—64no—
568C4⋊C4—64no—
569C4⋊C4—64no—
570C4⋊C4C23×D312yes—
571C4⋊C4C23×D312yes—
572C22⋊C4—24no—
573C22⋊C4—24no—
574C22⋊C4—64no—
575C22⋊C4—64no—
576C22⋊C4—64no—
577C22⋊C4—64no—
578C42—32no—
579C42—32no—
580C42—32no—
581C42—32no—
582C42D3×D412yes—
583C42C23×D312yes—
584C22×C3—24no—
585C22×C3—24no—
586C22×C3—48no—
587C22×C3—48no—
588C22×C3—42no—
589C22×C3—42no—
590C22×C3—42no—
591C22×C3—42no—
592C22×C3D4×Q812yes—
593C22×C3#57512yes—
594C22×C3#57612yes—
595C22×C3C23×D411yescharacteristic
596C3×C4—22no—
597C3×C4—22no—
598C3×C4—42no—
599C3×C4—42no—
600C3×C4D4×Q812yes—
601C3×C4C23×Q811yescharacteristic
602C3×C4C2×2−1+411yescharacteristic
603Dic3—22no—
604Dic3—22no—
605Dic3—22no—
606Dic3—22no—
607Dic3—42no—
608Dic3—42no—
609Dic3—42no—
610Dic3—42no—
611C23—22no—
612C23—22no—
613C23—24no—
614C23—24no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23C2×D3×D411yescharacteristic
620Q8—124no—
621Q8—244no—
622Q8—244no—
623D4—22no—
624D4—22no—
625D4—24no—
626D4—24no—
627D4C22×Dic614yes—
628D4C22×Dic614yes—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—32no—
634C2×C4—32no—
635C2×C4—32no—
636C2×C4—32no—
637C2×C4—48no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—62no—
641C2×C4—62no—
642C2×C4—62no—
643C2×C4—62no—
644C2×C4—62no—
645C2×C4—62no—
646C2×C4—62no—
647C2×C4—62no—
648C2×C4—84no—
649C2×C4—128no—
650C2×C4—122no—
651C2×C4—122no—
652C2×C4—122no—
653C2×C4—122no—
654C2×C4—244no—
655C2×C4—244no—
656C2×C4—244no—
657C2×C4C22×Dic612yes—
658C2×C4C2×D3×D412yes—
659C2×C4C2×D3×D412yes—
660C2×C4C2×D3×D411yescharacteristic
661C2×C4#101012yes—
662C2×C4C24×D311yescharacteristic
663C8—22no—
664C8—62no—
665C8—62no—
666C8C22×Dic614yes—
667C2×C3—44no—
668C2×C3—44no—
669C2×C3#338914yescomplemented
670C2×C3C2×D4×Q811yescharacteristic
671C2×C3C2×#57511yescharacteristic
672C2×C3C2×#57611yescharacteristic
673C22—24no—
674C22—24no—
675C22—42no—
676C22—42no—
677C22—42no—
678C22—42no—
679C22—48no—
680C22—48no—
681C22D4×Dic612yes—
682C22#577312yes—
683C22#577412yes—
684C22C22×D3×D411yescharacteristic
685C4—22no—
686C4—22no—
687C4—42no—
688C4—42no—
689C4—62no—
690C4—62no—
691C4—62no—
692C4—62no—
693C4—122no—
694C4—122no—
695C4—122no—
696C4—122no—
697C4D4×Dic612yes—
698C4C23×Dic611yescharacteristic
699C4C2×#101011yescharacteristic
700C3C2×#338911yescharacteristic, complemented, Sylow
701C2—44no—
702C2—44no—
703C2#7985614yesdirect product factor
704C2C2×D4×Dic611yescharacteristic
705C2C2×#577311yescharacteristic
706C2C2×#577411yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC2×C3×#442C2
socleC23×C3C22×D4
prime radicalC22×C3×D8C22
hypercenterC2×#442D3
hypocenterC3C2×#3389
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#442

Complements

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

NH ≅ G/Ntype
1. C2×#5539C2semidirect
2. C2×#5543C2semidirect
6. C2×#5009C2semidirect
7. C2×#5007C2semidirect
8. #79856C2direct (N × H)
9. C2×#4856C2semidirect
10. C2×#4858C2semidirect
11. C2×#4763C2semidirect
12. C2×#4763C2semidirect
13. C2×#4766C2semidirect
14. C2×#4759C2semidirect
15. C2×#4702C2semidirect
16. C2×#4701C2semidirect
30. #5543C22semidirect
32. #5539C22semidirect
63. #5009C22semidirect
64. #5007C22semidirect
70. #4858C22semidirect
71. #4856C22semidirect
72. #4766C22semidirect
73. #4763C22semidirect
74. #4763C22semidirect
75. #4759C22semidirect
76. #4702C22semidirect
77. #4701C22semidirect
105. C2×C3×D8Q8semidirect
295. C3×D8C2×Q8semidirect
352. C2×D8Dic6semidirect
538. D8C2×Dic6semidirect
669. C2×C3#3389semidirect
700. C3C2×#3389semidirect
703. C2#79856direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#55392
C2×#55432
C2×C3×#4422
C2×#51522
C2×Dic3×D82
C2×#50092
C2×#50072
#798562
C2×#48562
C2×#48582
C2×#47632
C2×#47662
C2×#47592
C2×#47022
C2×#47012
C2×#33893