Finite Group Databasebeta

← C2×#83695 #11675708

Subgroups — C2×#83695 #11675708

Order 768.

1822 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#557C211yesmaximal, characteristic, complemented
2C2×#5579C211yesmaximal, characteristic
3#83695C2116yesmaximal, direct product factor
4C2×#5084C211yesmaximal, characteristic
5C2×#5081C211yesmaximal, characteristic, complemented
6C2×#5066C211yesmaximal, characteristic
7C2×#5066C211yesmaximal, characteristic
8C2×#5064C211yesmaximal, characteristic, complemented
9C2×#5065C211yesmaximal, characteristic, complemented
10C2×#5026C211yesmaximal, characteristic
11C2×#5026C211yesmaximal, characteristic
12C2×#5024C211yesmaximal, characteristic, complemented
13C2×#5022C211yesmaximal, characteristic, complemented
14C2×#5022C211yesmaximal, characteristic, complemented
15C2×#5020C211yesmaximal, characteristic, complemented
16C2×C4×#215C211yesmaximal, characteristic
17C2×#3388—31nomaximal, Sylow
18C3×#557—24no—
19C3×#557C2218yescomplemented
20C2×C3×C4⋊Q8—21no—
21C2×C3×C4⋊Q8C2211yescharacteristic
22C2×C3×#125—21no—
23C2×C3×#125—21no—
24C2×C3×#125C2211yescharacteristic
25C2×C3×#125C2211yescharacteristic
26C2×C3×C4×Q8—21no—
27C2×C3×C4×Q8C2211yescharacteristic
28C2×C3×C4×Q8C2211yescharacteristic
29C2×C3×C4×Q8C2211yescharacteristic
30C2×C3×C4×Q8C2211yescharacteristic
31C2×#946—21no—
32C22×#215C2211yescharacteristic
33#5579—24no—
34#5579C2218yes—
35C2×#896—21no—
36C2×#896—21no—
37C2×D3×C4⋊C4—21no—
38C2×C4×D12C2211yescharacteristic
39C2×C4×D12C2211yescharacteristic
40C2×C4×D12C2211yescharacteristic
41C2×#870C2211yescharacteristic
42C2×#870C2211yescharacteristic
43C2×#869C2211yescharacteristic
44C2×#835C2211yescharacteristic
45C2×#835C2211yescharacteristic
46C2×#835C2211yescharacteristic
47#5084C2218yes—
48#5081C2218yescomplemented
49#5066C2218yes—
50#5066C2218yes—
51#5065C2218yescomplemented
52#5064C2218yescomplemented
53#5026C2218yes—
54#5026C2218yes—
55C4×#215C2218yes—
56#5024C2218yescomplemented
57#5022C2218yescomplemented
58#5022C2218yescomplemented
59#5020C2218yescomplemented
60C2×#809C2211yescharacteristic
61C2×#809C2211yescharacteristic
62C2×#809C2211yescharacteristic
63C2×#808C2211yescharacteristic
64C2×#808C2211yescharacteristic
65C2×#808C2211yescharacteristic
66C2×#808C2211yescharacteristic
67C2×#808C2211yescharacteristic
68C2×#807C2211yescharacteristic
69C2×#807C2211yescharacteristic
70C2×#807C2211yescharacteristic
71C2×#807C2211yescharacteristic
72C2×C4⋊(C3⋊C8)C2211yescharacteristic
73C2×C4⋊(C3⋊C8)C2211yescharacteristic
74C2×C4⋊(C3⋊C8)C2211yescharacteristic
75C2×#803C2211yescharacteristic
76C2×#803C2211yescharacteristic
77C2×C4×C3⋊C8C2211yescharacteristic
78C2×#557D311yescharacteristic, complemented
79C2×#554—31no—
80#3388—316no—
81C2×#501—31no—
82C2×#501—31no—
83C2×#499—31no—
84C2×#479—31no—
85C2×#479—31no—
86C2×#475—31no—
87C2×#478—31no—
88C2×#478—31no—
89C2×#476—31no—
90C2×#446—31no—
91C2×#440—31no—
92C2×#440—31no—
93C2×C4×SD16—31no—
94C22×C3×Q8—21no—
95C22×C3×Q8D411yescharacteristic
96C22×C3×Q8C2311yescharacteristic
97C22×D12C2311yescharacteristic
98C22×C4×D3—21no—
99C22×C4×D3—21no—
100C22×C4×D3—21no—
101C22×Dic6—21no—
102C3×C4⋊Q8—28no—
103C3×C4⋊Q8—22no—
104C3×C4⋊Q8C2314yes—
105C3×#125—28no—
106C3×#125—28no—
107C3×#125—22no—
108C3×#125—22no—
109C3×#125C2314yes—
110C3×#125C2314yes—
111C3×C4×Q8—28no—
112C3×C4×Q8—22no—
113C3×C4×Q8—22no—
114C3×C4×Q8—22no—
115C3×C4×Q8D414yes—
116C3×C4×Q8C2314yes—
117C3×C4×Q8C2314yes—
118C3×C4×Q8C2314yes—
119C3×C4×Q8C2314yes—
120C2×C3×C4⋊C4—21no—
121C2×C3×C4⋊C4—21no—
122C2×C3×C4⋊C4—21no—
123C2×C3×C4⋊C4—21no—
124C2×C3×C4⋊C4—21no—
125C2×C3×C4⋊C4—21no—
126C2×C3×C4⋊C4—21no—
127C2×C3×C4⋊C4—21no—
128C2×C3×C4⋊C4D411yescharacteristic
129C2×C3×C4⋊C4D411yescharacteristic
130C2×C3×C4⋊C4D411yescharacteristic
131C2×C3×C4⋊C4C2311yescharacteristic
132C2×C3×C4⋊C4C2311yescharacteristic
133C2×C3×C4⋊C4C2311yescharacteristic
134C2×C3×C42—21no—
135C2×C3×C42—21no—
136C2×C3×C42—21no—
137C2×C3×C42C2311yescharacteristic
138C2×C3×C42C2311yescharacteristic
139C2×C3×C42C2311yescharacteristic
140#946—28no—
141C2×#215Q818yescomplemented
142C2×#215C2314yes—
143C2×(C2×D3)⋊C4—21no—
144C2×(C2×D3)⋊C4—21no—
145C2×(C2×D3)⋊C4—21no—
146C2×C4⋊Dic3—21no—
147C2×C4⋊Dic3C2311yescharacteristic
148C2×C4⋊Dic3C2311yescharacteristic
149C2×C4⋊Dic3C2311yescharacteristic
150C2×Dic3⋊C4—21no—
151C2×Dic3⋊C4—21no—
152C2×Dic3⋊C4—21no—
153C2×Dic3⋊C4—21no—
154C22×C3⋊C8C2311yescharacteristic
155C22×C3⋊C8C2311yescharacteristic
156C22×C3⋊C8C2311yescharacteristic
157C22×C3⋊C8C2311yescharacteristic
158#896—28no—
159#896—28no—
160D3×C4⋊C4—28no—
161C4×D12—22no—
162C4×D12—22no—
163C4×D12—22no—
164C4×D12C2314yes—
165C4×D12C2314yes—
166C4×D12C2314yes—
167#870—22no—
168#870—22no—
169#870C2314yes—
170#870C2314yes—
171#869—22no—
172#869C2314yes—
173#835C2314yes—
174#835C2314yes—
175#835C2314yes—
176#809C2314yes—
177#809C2314yes—
178#809C2314yes—
179#808C2314yes—
180#808C2314yes—
181#808C2314yes—
182#808C2314yes—
183#808C2314yes—
184#807C2314yes—
185#807C2314yes—
186#807C2314yes—
187#807C2314yes—
188C4⋊(C3⋊C8)C2314yes—
189C4⋊(C3⋊C8)C2314yes—
190C4⋊(C3⋊C8)C2314yes—
191#803C2314yes—
192#803C2314yes—
193C4×C3⋊C8C2314yes—
194C22×SD16—31no—
195#557—24no—
196#557C2×D318yescomplemented
197#554—38no—
198#554—64no—
199C2×C4⋊Q8—21no—
200C2×C4⋊Q8—31no—
201C2×C4⋊Q8C2×D311yescharacteristic
202C2×#125—21no—
203C2×#125—21no—
204C2×#125—31no—
205C2×#125—31no—
206C2×#125C2×D311yescharacteristic
207C2×#125C2×D311yescharacteristic
208C2×C22⋊Q8—61no—
209C2×C22⋊Q8—61no—
210C2×C22⋊Q8—61no—
211C2×C4×Q8—21no—
212C2×C4×Q8C2×D311yescharacteristic
213C2×C4×Q8C2×D311yescharacteristic
214C2×C4×Q8C2×D311yescharacteristic
215C2×C4×Q8C2×D311yescharacteristic
216C2×C4×D4—31no—
217C2×C4×D4—31no—
218C2×C4×D4—31no—
219C22×C4⋊C4—61no—
220#501—38no—
221#501—38no—
222#499—38no—
223#479—38no—
224#479—38no—
225#478—38no—
226#478—38no—
227#476—38no—
228#475—38no—
229#446—38no—
230#440—38no—
231#440—38no—
232C4×SD16—38no—
233C2×#107—31no—
234C2×#107—31no—
235C2×#107—31no—
236C2×#107—31no—
237C2×#106—31no—
238C2×#106—31no—
239C2×#106—31no—
240C2×#106—31no—
241C2×#106—31no—
242C2×C4⋊C8—31no—
243C2×C4⋊C8—31no—
244C2×C4⋊C8—31no—
245C2×#103—31no—
246C2×#103—31no—
247C2×#103—31no—
248C2×#102—31no—
249C2×#102—31no—
250C2×#102—31no—
251C2×#97—31no—
252C2×#97—31no—
253C2×C4×C8—31no—
254C23×D3—21no—
255C2×C3×Q8—21no—
256C2×C3×Q8—24no—
257C2×C3×Q8—22no—
258C2×C3×Q8—42no—
259C2×C3×Q8—44no—
260C2×C3×Q8C2×D414yes—
261C2×C3×Q8C2×Q814yes—
262C2×C3×Q8C2412yes—
263C22×C3×C4—21no—
264C22×C3×C4—21no—
265C22×C3×C4—21no—
266C22×C3×C4—21no—
267C22×C3×C4C2×D411yescharacteristic
268C22×C3×C4C2×D411yescharacteristic
269C22×C3×C4C2×D411yescharacteristic
270C22×C3×C4C2×D411yescharacteristic
271C22×C3×C4C2×D411yescharacteristic
272C22×C3×C4C2×D411yescharacteristic
273C22×C3×C4C2411yescharacteristic
274C22×Dic3—21no—
275C22×Dic3—21no—
276C22×Dic3—21no—
277C2×D12—21no—
278C2×D12—22no—
279C2×D12C2×Q814yes—
280C2×D12C2412yes—
281C2×C4×D3—24no—
282C2×C4×D3—24no—
283C2×C4×D3—24no—
284C2×C4×D3—44no—
285C2×C4×D3—82no—
286C2×C4×D3—82no—
287C2×Dic6—24no—
288C2×Dic6—82no—
289C3×C4⋊C4—24no—
290C3×C4⋊C4—24no—
291C3×C4⋊C4—24no—
292C3×C4⋊C4—24no—
293C3×C4⋊C4—24no—
294C3×C4⋊C4—24no—
295C3×C4⋊C4—24no—
296C3×C4⋊C4—24no—
297C3×C4⋊C4—21no—
298C3×C4⋊C4—21no—
299C3×C4⋊C4—21no—
300C3×C4⋊C4C2×D414yes—
301C3×C4⋊C4C2×D414yes—
302C3×C4⋊C4C2×D414yes—
303C3×C4⋊C4C2412yes—
304C3×C4⋊C4C2412yes—
305C3×C4⋊C4C2412yes—
306C3×C42—24no—
307C3×C42—24no—
308C3×C42—24no—
309C3×C42C2×D412yes—
310C3×C42C2×D412yes—
311C3×C42C2×D412yes—
312C3×C42C2412yes—
313C3×C42C2412yes—
314C3×C42C2412yes—
315#215C2×Q8116yescomplemented
316(C2×D3)⋊C4—24no—
317(C2×D3)⋊C4—24no—
318(C2×D3)⋊C4—24no—
319C4⋊Dic3—21no—
320C4⋊Dic3—21no—
321C4⋊Dic3—24no—
322C4⋊Dic3—21no—
323C4⋊Dic3C2412yes—
324C4⋊Dic3C2412yes—
325C4⋊Dic3C2412yes—
326Dic3⋊C4—24no—
327Dic3⋊C4—24no—
328Dic3⋊C4—24no—
329Dic3⋊C4—24no—
330C2×C3⋊C8—22no—
331C2×C3⋊C8—22no—
332C2×C3⋊C8—22no—
333C2×C3⋊C8C2×Q814yes—
334C2×C3⋊C8C2412yes—
335C2×C3⋊C8C2412yes—
336C2×C3⋊C8C2412yes—
337C2×C3⋊C8C2412yes—
338C22×Q8—21no—
339C22×Q8—61no—
340C22×Q8#6711yescharacteristic
341C22×Q8C22×D311yescharacteristic
342C22×D4—31no—
343C23×C4—61no—
344C23×C4—61no—
345C23×C4—61no—
346C2×SD16—38no—
347C2×SD16—34no—
348C22×C8—31no—
349C22×C8—31no—
350C22×C8—31no—
351C22×C8—31no—
352C4⋊Q8—28no—
353C4⋊Q8—22no—
354C4⋊Q8—34no—
355C4⋊Q8—62no—
356C4⋊Q8C22×D314yes—
357#125—28no—
358#125—28no—
359#125—22no—
360#125—22no—
361#125—34no—
362#125—34no—
363#125—62no—
364#125—62no—
365#125C22×D314yes—
366#125C22×D314yes—
367C22⋊Q8—68no—
368C22⋊Q8—68no—
369C22⋊Q8—68no—
370C4×Q8—28no—
371C4×Q8—22no—
372C4×Q8—22no—
373C4×Q8—22no—
374C4×Q8#6714yes—
375C4×Q8C22×D314yes—
376C4×Q8C22×D314yes—
377C4×Q8C22×D314yes—
378C4×Q8C22×D314yes—
379C4×D4—34no—
380C4×D4—34no—
381C4×D4—34no—
382C4×D4—62no—
383C4×D4—62no—
384C4×D4—62no—
385C2×C4⋊C4—21no—
386C2×C4⋊C4—21no—
387C2×C4⋊C4—21no—
388C2×C4⋊C4—21no—
389C2×C4⋊C4—21no—
390C2×C4⋊C4—21no—
391C2×C4⋊C4—21no—
392C2×C4⋊C4—21no—
393C2×C4⋊C4—31no—
394C2×C4⋊C4—31no—
395C2×C4⋊C4—31no—
396C2×C4⋊C4—61no—
397C2×C4⋊C4—61no—
398C2×C4⋊C4—61no—
399C2×C4⋊C4—61no—
400C2×C4⋊C4—61no—
401C2×C4⋊C4—68no—
402C2×C4⋊C4#6711yescharacteristic
403C2×C4⋊C4#6711yescharacteristic
404C2×C4⋊C4#6711yescharacteristic
405C2×C4⋊C4C22×D311yescharacteristic
406C2×C4⋊C4C22×D311yescharacteristic
407C2×C4⋊C4C22×D311yescharacteristic
408C2×C22⋊C4—61no—
409C2×C22⋊C4—61no—
410C2×C22⋊C4—61no—
411C2×C42—21no—
412C2×C42—21no—
413C2×C42—21no—
414C2×C42C22×D311yescharacteristic
415C2×C42C22×D311yescharacteristic
416C2×C42C22×D311yescharacteristic
417#107—34no—
418#107—34no—
419#107—34no—
420#107—34no—
421#106—34no—
422#106—34no—
423#106—34no—
424#106—34no—
425#106—34no—
426C4⋊C8—34no—
427C4⋊C8—34no—
428C4⋊C8—34no—
429#103—34no—
430#103—34no—
431#103—34no—
432#102—34no—
433#102—34no—
434#102—34no—
435#97—34no—
436#97—34no—
437C4×C8—34no—
438C23×C3C22×D411yescharacteristic
439C22×D3—24no—
440C22×D3—22no—
441C22×D3—42no—
442C22×D3—42no—
443C3×Q8—24no—
444C3×Q8—22no—
445C3×Q8—44no—
446C3×Q8—48no—
447C3×Q8C22×Q814yes—
448C2×C3×C4—24no—
449C2×C3×C4—22no—
450C2×C3×C4—22no—
451C2×C3×C4—22no—
452C2×C3×C4—22no—
453C2×C3×C4—22no—
454C2×C3×C4—22no—
455C2×C3×C4—22no—
456C2×C3×C4—22no—
457C2×C3×C4—22no—
458C2×C3×C4—22no—
459C2×C3×C4—42no—
460C2×C3×C4—42no—
461C2×C3×C4—42no—
462C2×C3×C4C22×D412yes—
463C2×C3×C4C22×D412yes—
464C2×C3×C4C22×D412yes—
465C2×C3×C4C22×D412yes—
466C2×C3×C4C22×D412yes—
467C2×C3×C4C22×D412yes—
468C2×C3×C4C22×D411yescharacteristic
469C2×C3×C4C22×Q812yes—
470C2×C3×C42−1+412yes—
471C2×C3×C4C2511yescharacteristic
472C2×Dic3—22no—
473C2×Dic3—22no—
474C2×Dic3—22no—
475C2×Dic3—42no—
476C2×Dic3—42no—
477C2×Dic3—42no—
478D12—24no—
479D12—22no—
480D12C22×Q814yes—
481C4×D3—48no—
482C4×D3—84no—
483C4×D3—84no—
484Dic6—84no—
485C3⋊C8—22no—
486C3⋊C8—22no—
487C3⋊C8—22no—
488C3⋊C8C22×Q814yes—
489C24—61no—
490C2×Q8—22no—
491C2×Q8—21no—
492C2×Q8—24no—
493C2×Q8—42no—
494C2×Q8—44no—
495C2×Q8—64no—
496C2×Q8—242no—
497C2×Q8D3×Q814yes—
498C2×Q8C2×#6714yes—
499C2×Q8C23×D312yes—
500C2×D4—34no—
501C2×D4—32no—
502C2×D4—62no—
503C2×D4—61no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—61no—
509C22×C4—61no—
510C22×C4—61no—
511C22×C4—64no—
512C22×C4—64no—
513C22×C4—64no—
514C22×C4—124no—
515C22×C4—242no—
516C22×C4—242no—
517C22×C4C2×#6711yescharacteristic
518C22×C4C2×#6711yescharacteristic
519C22×C4C2×#6711yescharacteristic
520C22×C4C2×#6711yescharacteristic
521C22×C4C2×#6711yescharacteristic
522C22×C4C2×#6711yescharacteristic
523C22×C4C23×D311yescharacteristic
524SD16—316no—
525C2×C8—34no—
526C2×C8—32no—
527C2×C8—32no—
528C2×C8—32no—
529C2×C8—32no—
530C2×C8—62no—
531C2×C8—62no—
532C2×C8—62no—
533C4⋊C4—24no—
534C4⋊C4—24no—
535C4⋊C4—24no—
536C4⋊C4—24no—
537C4⋊C4—24no—
538C4⋊C4—24no—
539C4⋊C4—24no—
540C4⋊C4—24no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—32no—
545C4⋊C4—32no—
546C4⋊C4—32no—
547C4⋊C4—61no—
548C4⋊C4—61no—
549C4⋊C4—61no—
550C4⋊C4—64no—
551C4⋊C4—64no—
552C4⋊C4—64no—
553C4⋊C4—64no—
554C4⋊C4—64no—
555C4⋊C4C2×#6714yes—
556C4⋊C4C2×#6714yes—
557C4⋊C4C2×#6714yes—
558C4⋊C4C23×D312yes—
559C4⋊C4C23×D312yes—
560C4⋊C4C23×D312yes—
561C22⋊C4—64no—
562C22⋊C4—64no—
563C22⋊C4—64no—
564C42—24no—
565C42—24no—
566C42—24no—
567C42C2×#6712yes—
568C42C2×#6712yes—
569C42C2×#6712yes—
570C42C23×D312yes—
571C42C23×D312yes—
572C42C23×D312yes—
573C22×C3D4×Q812yes—
574C22×C3#57512yes—
575C22×C3#57712yes—
576C22×C3C23×D411yescharacteristic
577C2×D3—24no—
578C2×D3—48no—
579C2×D3—42no—
580C2×D3—42no—
581C3×C4—24no—
582C3×C4—22no—
583C3×C4—22no—
584C3×C4—22no—
585C3×C4—22no—
586C3×C4—22no—
587C3×C4—22no—
588C3×C4—42no—
589C3×C4—42no—
590C3×C4—42no—
591C3×C4D4×Q812yes—
592C3×C4C23×Q811yescharacteristic
593C3×C4C2×2−1+411yescharacteristic
594Dic3—42no—
595Dic3—42no—
596Dic3—42no—
597C23—62no—
598C23—64no—
599C23—122no—
600C23—122no—
601C23C22×#6711yescharacteristic
602Q8—22no—
603Q8—24no—
604Q8—44no—
605Q8—48no—
606Q8—244no—
607Q8C2×D3×Q814yes—
608D4—34no—
609D4—62no—
610D4—64no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—62no—
626C2×C4—62no—
627C2×C4—62no—
628C2×C4—128no—
629C2×C4—122no—
630C2×C4—122no—
631C2×C4—122no—
632C2×C4—244no—
633C2×C4—244no—
634C2×C4C2×D3×Q812yes—
635C2×C4#100712yes—
636C2×C4C22×#6712yes—
637C2×C4C22×#6712yes—
638C2×C4C22×#6712yes—
639C2×C4C22×#6712yes—
640C2×C4C22×#6712yes—
641C2×C4C22×#6712yes—
642C2×C4C22×#6711yescharacteristic
643C2×C4C24×D311yescharacteristic
644C8—34no—
645C8—62no—
646C8—62no—
647C8—62no—
648C2×C3#338814yescomplemented
649C2×C3C2×D4×Q811yescharacteristic
650C2×C3C2×#57511yescharacteristic
651C2×C3C2×#57711yescharacteristic
652D3—44no—
653C22—64no—
654C22—122no—
655C22—128no—
656C22—122no—
657C22Q8×#6712yes—
658C22#582212yes—
659C22#583712yes—
660C22C23×#6711yescharacteristic
661C4—24no—
662C4—22no—
663C4—22no—
664C4—22no—
665C4—22no—
666C4—22no—
667C4—22no—
668C4—42no—
669C4—42no—
670C4—42no—
671C4—122no—
672C4—122no—
673C4—122no—
674C4Q8×#6712yes—
675C4C22×D3×Q811yescharacteristic
676C4C2×#100711yescharacteristic
677C3C2×#338811yescharacteristic, complemented, Sylow
678C2—124no—
679C2#8369514yesdirect product factor
680C2C2×Q8×#6711yescharacteristic
681C2C2×#582211yescharacteristic
682C2C2×#583711yescharacteristic
subgroupG/H
centerC23C22×#67
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC2×C3×#557C2
socleC23×C3C22×D4
prime radicalC22×D12C23
hypercenterC2×#557D3
hypocenterC3C2×#3388
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#557

Complements

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

NH ≅ G/Ntype
1. C2×C3×#557C2semidirect
3. #83695C2direct (N × H)
5. C2×#5081C2semidirect
8. C2×#5064C2semidirect
9. C2×#5065C2semidirect
12. C2×#5024C2semidirect
13. C2×#5022C2semidirect
14. C2×#5022C2semidirect
15. C2×#5020C2semidirect
19. C3×#557C22semidirect
48. #5081C22semidirect
51. #5065C22semidirect
52. #5064C22semidirect
56. #5024C22semidirect
57. #5022C22semidirect
58. #5022C22semidirect
59. #5020C22semidirect
78. C2×#557D3semidirect
141. C2×#215Q8semidirect
196. #557C2×D3semidirect
315. #215C2×Q8semidirect
648. C2×C3#3388semidirect
677. C3C2×#3388semidirect
679. C2#83695direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#5572
C2×#55792
#836952
C2×#50842
C2×#50812
C2×#50662
C2×#50642
C2×#50652
C2×#50262
C2×#50242
C2×#50222
C2×#50202
C2×C4×#2152
C2×#33883