Finite Group Databasebeta

← C2×#81970 #11675725

Subgroups — C2×#81970 #11675725

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×#5730C211yesmaximal, characteristic, complemented
2C2×#5690C211yesmaximal, characteristic, complemented
3C2×C3×#501C211yesmaximal, characteristic, complemented
4C2×#5087C211yesmaximal, characteristic, complemented
5C2×#5066C211yesmaximal, characteristic, complemented
6#81970C2116yesmaximal, direct product factor
7C2×#4891C211yesmaximal, characteristic, complemented
8C2×#4890C211yesmaximal, characteristic, complemented
9C2×#4876C211yesmaximal, characteristic, complemented
10C2×#4872C211yesmaximal, characteristic
11C2×#4871C211yesmaximal, characteristic, complemented
12C2×#4871C211yesmaximal, characteristic, complemented
13C2×#4858C211yesmaximal, characteristic, complemented
14C2×#4869C211yesmaximal, characteristic
15C2×#4711C211yesmaximal, characteristic
16C2×#4701C211yesmaximal, characteristic, complemented
17C2×#3389—31nomaximal, Sylow
18C2×C3×C4⋊Q8C2211yescharacteristic
19C2×C3×#125C2211yescharacteristic
20C2×#946—21no—
21C2×#946—21no—
22C22×D24C2211yescharacteristic
23#5730—24no—
24#5730C2218yescomplemented
25#5690—24no—
26#5690C2218yescomplemented
27C2×#897—21no—
28C2×#897—21no—
29C2×#896—21no—
30C2×#896—21no—
31C2×#893C2211yescharacteristic
32C2×#893C2211yescharacteristic
33C2×#893C2211yescharacteristic
34C2×#893C2211yescharacteristic
35C2×D3×C4⋊C4—21no—
36C2×D3×C4⋊C4—21no—
37C2×#890C2211yescharacteristic
38C2×#890C2211yescharacteristic
39C2×#890C2211yescharacteristic
40C2×#888C2211yescharacteristic
41C2×C4×D12C2211yescharacteristic
42C2×C4×D12C2211yescharacteristic
43C2×C4×Dic6C2211yescharacteristic
44C3×#501C2218yescomplemented
45C2×C3×#107C2211yescharacteristic
46C2×C3×#107C2211yescharacteristic
47C2×C3×#106C2211yescharacteristic
48C2×C3×#106C2211yescharacteristic
49C2×C3×#97C2211yescharacteristic
50C2×#821C2211yescharacteristic
51C2×#821C2211yescharacteristic
52C2×#817C2211yescharacteristic
53C2×#815C2211yescharacteristic
54C2×Dic3⋊C8C2211yescharacteristic
55C2×Dic3⋊C8C2211yescharacteristic
56C2×C8×Dic3C2211yescharacteristic
57#5087C2218yescomplemented
58#5066C2218yescomplemented
59C2×#809C2211yescharacteristic
60C2×#809C2211yescharacteristic
61C2×#809C2211yescharacteristic
62C2×#809C2211yescharacteristic
63C2×#808C2211yescharacteristic
64C2×#807C2211yescharacteristic
65C2×#807C2211yescharacteristic
66C2×#807C2211yescharacteristic
67C2×C4⋊(C3⋊C8)C2211yescharacteristic
68#4891C2218yescomplemented
69#4890C2218yescomplemented
70#4876C2218yescomplemented
71#4872C2218yes—
72#4871C2218yescomplemented
73#4871C2218yescomplemented
74#4869C2218yes—
75#4858C2218yescomplemented
76#4711C2218yes—
77#4701C2218yescomplemented
78C2×#554—31no—
79C2×#554—31no—
80#3389—316no—
81C2×#501—31no—
82C2×#501D311yescharacteristic, complemented
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×#442—31no—
93C2×C4×D8—31no—
94C22×C3×Q8—21no—
95C22×D12C2311yescharacteristic
96C22×D12C2311yescharacteristic
97C22×C4×D3—21no—
98C22×C4×D3—21no—
99C22×C4×D3—21no—
100C22×C4×D3—21no—
101C22×C4×D3—21no—
102C22×C4×D3—21no—
103C22×Dic6—21no—
104C22×Dic6D411yescharacteristic
105C22×C3×C8C2311yescharacteristic
106C22×C3×C8C2311yescharacteristic
107C3×C4⋊Q8—22no—
108C3×C4⋊Q8C2314yes—
109C3×#125—22no—
110C3×#125C2314yes—
111C2×C3×C4⋊C4—21no—
112C2×C3×C4⋊C4—21no—
113C2×C3×C4⋊C4—21no—
114C2×C3×C4⋊C4C2311yescharacteristic
115C2×C3×C4⋊C4C2311yescharacteristic
116C2×C3×C4⋊C4C2311yescharacteristic
117C2×C3×C4⋊C4C2311yescharacteristic
118C2×C3×C42C2311yescharacteristic
119#946—28no—
120#946—28no—
121C2×(C2×D3)⋊C4—21no—
122C2×(C2×D3)⋊C4—21no—
123C2×(C2×D3)⋊C4—21no—
124C2×(C2×D3)⋊C4—21no—
125C2×(C2×D3)⋊C4—21no—
126C2×(C2×D3)⋊C4—21no—
127C2×C4⋊Dic3—21no—
128C2×C4⋊Dic3—21no—
129C2×C4⋊Dic3—21no—
130C2×C4⋊Dic3D411yescharacteristic
131C2×C4⋊Dic3C2311yescharacteristic
132C2×C4⋊Dic3C2311yescharacteristic
133C2×Dic3⋊C4—21no—
134C2×Dic3⋊C4—21no—
135C2×Dic3⋊C4—21no—
136C2×Dic3⋊C4—21no—
137C2×Dic3⋊C4D411yescharacteristic
138C2×Dic3⋊C4D411yescharacteristic
139C2×C4×Dic3C2311yescharacteristic
140C2×C4×Dic3C2311yescharacteristic
141C22×C3⋊C8C2311yescharacteristic
142C22×C3⋊C8C2311yescharacteristic
143C2×D24Q818yescomplemented
144C2×D24C2314yes—
145#897—28no—
146#897—28no—
147#896—28no—
148#896—28no—
149#893—22no—
150#893—22no—
151#893—22no—
152#893—22no—
153#893C2314yes—
154#893C2314yes—
155#893C2314yes—
156#893C2314yes—
157D3×C4⋊C4—28no—
158D3×C4⋊C4—28no—
159#890—22no—
160#890—22no—
161#890—22no—
162#890C2314yes—
163#890C2314yes—
164#890C2314yes—
165#888—22no—
166#888C2314yes—
167C4×D12—22no—
168C4×D12—22no—
169C4×D12C2314yes—
170C4×D12C2314yes—
171C4×Dic6D414yes—
172C4×Dic6C2314yes—
173C3×#107C2314yes—
174C3×#107C2314yes—
175C3×#106C2314yes—
176C3×#106C2314yes—
177C3×#97C2314yes—
178#821C2314yes—
179#821C2314yes—
180#817C2314yes—
181#815C2314yes—
182Dic3⋊C8C2314yes—
183Dic3⋊C8C2314yes—
184C8×Dic3C2314yes—
185#809C2314yes—
186#809C2314yes—
187#809C2314yes—
188#809C2314yes—
189#808C2314yes—
190#807C2314yes—
191#807C2314yes—
192#807C2314yes—
193C4⋊(C3⋊C8)C2314yes—
194C22×D8—31no—
195#554—38no—
196#554—38no—
197#554—64no—
198#554—64no—
199C2×C4⋊Q8—31no—
200C2×C4⋊Q8C2×D311yescharacteristic
201C2×#125—31no—
202C2×#125—31no—
203C2×#125—31no—
204C2×#125C2×D311yescharacteristic
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×D4—31no—
217C2×C4×D4—31no—
218C22×C4⋊C4—61no—
219C22×C4⋊C4—61no—
220#501—38no—
221#501C2×D318yescomplemented
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#442—38no—
232C4×D8—38no—
233C2×#107—31no—
234C2×#107—31no—
235C2×#107—31no—
236C2×#107C2×D311yescharacteristic
237C2×#107C2×D311yescharacteristic
238C2×#106—31no—
239C2×#106—31no—
240C2×#106C2×D311yescharacteristic
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×#102—31no—
250C2×#102—31no—
251C2×#97—31no—
252C2×#97C2×D311yescharacteristic
253C2×C4×C8—31no—
254C23×D3—21no—
255C23×D3—21no—
256C2×C3×Q8—24no—
257C2×C3×Q8—82no—
258C22×C3×C4—21no—
259C22×C3×C4—21no—
260C22×C3×C4—21no—
261C22×C3×C4—21no—
262C22×C3×C4C2×D411yescharacteristic
263C22×C3×C4C2×D411yescharacteristic
264C22×C3×C4C2411yescharacteristic
265C22×Dic3—21no—
266C22×Dic3—21no—
267C22×Dic3C2×D411yescharacteristic
268C22×Dic3C2×D411yescharacteristic
269C22×Dic3C2×D411yescharacteristic
270C22×Dic3C2×D411yescharacteristic
271C2×D12—21no—
272C2×D12—21no—
273C2×D12—22no—
274C2×D12—22no—
275C2×D12C2×Q814yes—
276C2×D12C2×Q814yes—
277C2×D12C2412yes—
278C2×D12C2412yes—
279C2×C4×D3—24no—
280C2×C4×D3—24no—
281C2×C4×D3—24no—
282C2×C4×D3—24no—
283C2×C4×D3—24no—
284C2×C4×D3—24no—
285C2×C4×D3—44no—
286C2×C4×D3—44no—
287C2×C4×D3—82no—
288C2×C4×D3—82no—
289C2×C4×D3—82no—
290C2×C4×D3—82no—
291C2×Dic6—24no—
292C2×Dic6—42no—
293C2×Dic6—82no—
294C2×Dic6C2×D414yes—
295C2×C3×C8—22no—
296C2×C3×C8C2×Q814yes—
297C2×C3×C8C2412yes—
298C2×C3×C8C2412yes—
299C3×C4⋊C4—21no—
300C3×C4⋊C4—21no—
301C3×C4⋊C4—21no—
302C3×C4⋊C4—21no—
303C3×C4⋊C4—24no—
304C3×C4⋊C4—24no—
305C3×C4⋊C4—24no—
306C3×C4⋊C4C2412yes—
307C3×C4⋊C4C2412yes—
308C3×C4⋊C4C2412yes—
309C3×C4⋊C4C2412yes—
310C3×C42C2×D412yes—
311C3×C42C2412yes—
312(C2×D3)⋊C4—24no—
313(C2×D3)⋊C4—24no—
314(C2×D3)⋊C4—24no—
315(C2×D3)⋊C4—24no—
316(C2×D3)⋊C4—24no—
317(C2×D3)⋊C4—24no—
318C4⋊Dic3—21no—
319C4⋊Dic3—21no—
320C4⋊Dic3—24no—
321C4⋊Dic3—24no—
322C4⋊Dic3—24no—
323C4⋊Dic3C2×D414yes—
324C4⋊Dic3C2412yes—
325C4⋊Dic3C2412yes—
326Dic3⋊C4—24no—
327Dic3⋊C4—24no—
328Dic3⋊C4—24no—
329Dic3⋊C4—24no—
330Dic3⋊C4C2×D414yes—
331Dic3⋊C4C2×D414yes—
332C4×Dic3C2×D412yes—
333C4×Dic3C2×D412yes—
334C4×Dic3C2412yes—
335C4×Dic3C2412yes—
336C2×C3⋊C8—22no—
337C2×C3⋊C8—22no—
338C2×C3⋊C8C2412yes—
339C2×C3⋊C8C2412yes—
340D24C2×Q8116yescomplemented
341C22×Q8—21no—
342C22×Q8—31no—
343C22×Q8—61no—
344C22×D4—31no—
345C22×D4—31no—
346C23×C4—61no—
347C23×C4—61no—
348C23×C4—61no—
349C23×C4—61no—
350C23×C4—61no—
351C23×C4—61no—
352C2×D8—38no—
353C2×D8—34no—
354C22×C8—31no—
355C22×C8—31no—
356C22×C8C22×D311yescharacteristic
357C22×C8C22×D311yescharacteristic
358C4⋊Q8—22no—
359C4⋊Q8—34no—
360C4⋊Q8—62no—
361C4⋊Q8C22×D314yes—
362#125—22no—
363#125—34no—
364#125—34no—
365#125—34no—
366#125—62no—
367#125—62no—
368#125—62no—
369#125C22×D314yes—
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—34no—
379C4×D4—34no—
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×D4—62no—
389C4×D4—62no—
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—31no—
397C2×C4⋊C4—31no—
398C2×C4⋊C4—68no—
399C2×C4⋊C4—68no—
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⋊C4C22×D311yescharacteristic
408C2×C4⋊C4C22×D311yescharacteristic
409C2×C4⋊C4C22×D311yescharacteristic
410C2×C4⋊C4C22×D311yescharacteristic
411C2×C22⋊C4—61no—
412C2×C22⋊C4—61no—
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#107C22×D314yes—
424#107C22×D314yes—
425#106—34no—
426#106—34no—
427#106C22×D314yes—
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#102—34no—
437#102—34no—
438#97—34no—
439#97C22×D314yes—
440C4×C8—34no—
441C23×C3C22×D411yescharacteristic
442C22×D3—24no—
443C22×D3—24no—
444C22×D3—22no—
445C22×D3—22no—
446C22×D3—42no—
447C22×D3—42no—
448C22×D3—42no—
449C22×D3—42no—
450C3×Q8—84no—
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—42no—
458C2×C3×C4—42no—
459C2×C3×C4—42no—
460C2×C3×C4—42no—
461C2×C3×C4C22×D412yes—
462C2×C3×C4C22×D412yes—
463C2×C3×C4C22×D411yescharacteristic
464C2×C3×C4C22×Q812yes—
465C2×C3×C42−1+412yes—
466C2×C3×C4C2511yescharacteristic
467C2×Dic3—22no—
468C2×Dic3—22no—
469C2×Dic3—22no—
470C2×Dic3—22no—
471C2×Dic3—22no—
472C2×Dic3—22no—
473C2×Dic3—42no—
474C2×Dic3—42no—
475C2×Dic3C22×D412yes—
476C2×Dic3C22×D412yes—
477C2×Dic3C22×D412yes—
478C2×Dic3C22×D412yes—
479D12—24no—
480D12—24no—
481D12—22no—
482D12—22no—
483D12C22×Q814yes—
484D12C22×Q814yes—
485C4×D3—48no—
486C4×D3—48no—
487C4×D3—84no—
488C4×D3—84no—
489C4×D3—84no—
490C4×D3—84no—
491Dic6—44no—
492Dic6—84no—
493C3×C8—22no—
494C3×C8C22×Q814yes—
495C3⋊C8—22no—
496C3⋊C8—22no—
497C24—61no—
498C24—61no—
499C2×Q8—24no—
500C2×Q8—34no—
501C2×Q8—64no—
502C2×Q8—82no—
503C2×Q8—122no—
504C2×Q8—242no—
505C2×D4—34no—
506C2×D4—34no—
507C2×D4—32no—
508C2×D4—32no—
509C2×D4—61no—
510C2×D4—61no—
511C2×D4—62no—
512C2×D4—62no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—31no—
518C22×C4—31no—
519C22×C4—31no—
520C22×C4—31no—
521C22×C4—64no—
522C22×C4—64no—
523C22×C4—64no—
524C22×C4—64no—
525C22×C4—61no—
526C22×C4—61no—
527C22×C4—64no—
528C22×C4—64no—
529C22×C4—124no—
530C22×C4—124no—
531C22×C4—242no—
532C22×C4—242no—
533C22×C4—242no—
534C22×C4—242no—
535C22×C4D3×D411yescharacteristic
536C22×C4D3×D411yescharacteristic
537C22×C4C23×D311yescharacteristic
538D8—316no—
539C2×C8—22no—
540C2×C8—32no—
541C2×C8—32no—
542C2×C8—62no—
543C2×C8—62no—
544C2×C8D3×Q814yes—
545C2×C8C23×D312yes—
546C2×C8C23×D312yes—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—34no—
555C4⋊C4—34no—
556C4⋊C4—34no—
557C4⋊C4—32no—
558C4⋊C4—32no—
559C4⋊C4—64no—
560C4⋊C4—64no—
561C4⋊C4—64no—
562C4⋊C4—64no—
563C4⋊C4—64no—
564C4⋊C4—64no—
565C4⋊C4—64no—
566C4⋊C4—61no—
567C4⋊C4—61no—
568C4⋊C4C23×D312yes—
569C4⋊C4C23×D312yes—
570C4⋊C4C23×D312yes—
571C4⋊C4C23×D312yes—
572C22⋊C4—64no—
573C22⋊C4—64no—
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×C3D4×Q812yes—
585C22×C3#57512yes—
586C22×C3#57612yes—
587C22×C3C23×D411yescharacteristic
588C2×D3—24no—
589C2×D3—24no—
590C2×D3—48no—
591C2×D3—48no—
592C2×D3—42no—
593C2×D3—42no—
594C2×D3—42no—
595C2×D3—42no—
596C3×C4—22no—
597C3×C4—22no—
598C3×C4—42no—
599C3×C4—42no—
600C3×C4—42no—
601C3×C4—42no—
602C3×C4D4×Q812yes—
603C3×C4C23×Q811yescharacteristic
604C3×C4C2×2−1+411yescharacteristic
605Dic3—22no—
606Dic3—22no—
607Dic3—22no—
608Dic3—22no—
609Dic3—42no—
610Dic3—42no—
611C23—62no—
612C23—62no—
613C23—64no—
614C23—64no—
615C23—122no—
616C23—122no—
617C23—122no—
618C23—122no—
619C23C2×D3×D411yescharacteristic
620Q8—84no—
621Q8—124no—
622Q8—244no—
623D4—34no—
624D4—34no—
625D4—62no—
626D4—62no—
627D4—64no—
628D4—64no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—32no—
636C2×C4—32no—
637C2×C4—32no—
638C2×C4—32no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—62no—
644C2×C4—62no—
645C2×C4—62no—
646C2×C4—62no—
647C2×C4—62no—
648C2×C4—62no—
649C2×C4—128no—
650C2×C4—128no—
651C2×C4—122no—
652C2×C4—122no—
653C2×C4—244no—
654C2×C4—244no—
655C2×C4—244no—
656C2×C4—244no—
657C2×C4C2×D3×D412yes—
658C2×C4C2×D3×D412yes—
659C2×C4C2×D3×D411yescharacteristic
660C2×C4C2×D3×Q812yes—
661C2×C4#100712yes—
662C2×C4C24×D311yescharacteristic
663C8—22no—
664C8—62no—
665C8—62no—
666C8C2×D3×Q814yes—
667C2×C3#338914yescomplemented
668C2×C3C2×D4×Q811yescharacteristic
669C2×C3C2×#57511yescharacteristic
670C2×C3C2×#57611yescharacteristic
671D3—44no—
672D3—44no—
673C22—64no—
674C22—64no—
675C22—128no—
676C22—128no—
677C22—122no—
678C22—122no—
679C22—122no—
680C22—122no—
681C22#572712yes—
682C22#577412yes—
683C22#577712yes—
684C22C22×D3×D411yescharacteristic
685C4—22no—
686C4—22no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—62no—
692C4—62no—
693C4—62no—
694C4—62no—
695C4—122no—
696C4—122no—
697C4#572712yes—
698C4C22×D3×Q811yescharacteristic
699C4C2×#100711yescharacteristic
700C3C2×#338911yescharacteristic, complemented, Sylow
701C2—124no—
702C2—124no—
703C2#8197014yesdirect product factor
704C2C2×#572711yescharacteristic
705C2C2×#577411yescharacteristic
706C2C2×#577711yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC2×C3×#501C2
socleC23×C3C22×D4
prime radicalC22×D24C22
hypercenterC2×#501D3
hypocenterC3C2×#3389
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
1. C2×#5730C2semidirect
2. C2×#5690C2semidirect
3. C2×C3×#501C2semidirect
4. C2×#5087C2semidirect
5. C2×#5066C2semidirect
6. #81970C2direct (N × H)
7. C2×#4891C2semidirect
8. C2×#4890C2semidirect
9. C2×#4876C2semidirect
11. C2×#4871C2semidirect
12. C2×#4871C2semidirect
13. C2×#4858C2semidirect
16. C2×#4701C2semidirect
24. #5730C22semidirect
26. #5690C22semidirect
44. C3×#501C22semidirect
57. #5087C22semidirect
58. #5066C22semidirect
68. #4891C22semidirect
69. #4890C22semidirect
70. #4876C22semidirect
72. #4871C22semidirect
73. #4871C22semidirect
75. #4858C22semidirect
77. #4701C22semidirect
82. C2×#501D3semidirect
143. C2×D24Q8semidirect
221. #501C2×D3semidirect
340. D24C2×Q8semidirect
667. C2×C3#3389semidirect
700. C3C2×#3389semidirect
703. C2#81970direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#57302
C2×#56902
C2×C3×#5012
C2×#50872
C2×#50662
#819702
C2×#48912
C2×#48902
C2×#48762
C2×#48722
C2×#48712
C2×#48582
C2×#48692
C2×#47112
C2×#47012
C2×#33893