Finite Group Databasebeta

← #72271581

Subgroups — #72271581

Order 2048.

Only the 2370 normal subgroups are shown; non-normal subgroups are omitted.

The subgroup lattice has 618 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#72271575C212yesmaximal, complemented
2#72271570C212yesmaximal, complemented
3#72271566C212yesmaximal, complemented
4#72271563C214yesmaximal, complemented
5#72271558C212yesmaximal, complemented
6#72271523C211yesmaximal, characteristic, complemented
7#72271446C211yesmaximal, characteristic, complemented
8#72271341C211yesmaximal, characteristic, complemented
9#72268191C211yesmaximal, characteristic, complemented
10#72268191C211yesmaximal, characteristic, complemented
11#72268190C211yesmaximal, characteristic, complemented
12#72268188C212yesmaximal, complemented
13#72268188C212yesmaximal, complemented
142−1+42C211yesmaximal, characteristic
15#72268184C214yesmaximal, complemented
16#72268183C212yesmaximal, complemented
17#72268183C212yesmaximal, complemented
18#10586558C2214yes—
19#10586520C2212yes—
20#10586520C2212yes—
21#10586518C2211yescharacteristic
22#41×2−1+4C2212yes—
23#41×2−1+4C2212yes—
24C2×Q8×2−1+4C2211yescharacteristic
25C2×Q8×2−1+4C2211yescharacteristic
26C2×#32970C2211yescharacteristic
27C2×#32923C2211yescharacteristic
28#6524713C2212yescomplemented
29C2×#25919C2211yescharacteristic, complemented
30C2×#25923C2212yescomplemented
31#6447696C2212yescomplemented
32C2×#25826C2211yescharacteristic, complemented
33C2×#25829C2212yescomplemented
34#6445755C2212yescomplemented
35#6351649C2214yescomplemented
36#6348999C2214yescomplemented
37#6348397C2214yescomplemented
38#6348389C2214yescomplemented
39#6347328C2212yescomplemented
40#6347327C2212yescomplemented
41#676700C2211yescharacteristic, complemented
42#362786C2212yescomplemented
43#362786C2212yescomplemented
44#362773C2212yescomplemented
45#362773C2212yescomplemented
46#362756C2211yescharacteristic, complemented
47#362756C2211yescharacteristic, complemented
48#362734C2211yescharacteristic, complemented
49#362734C2211yescharacteristic, complemented
50C4×#1793C2211yescharacteristic
51C4×#1793C2211yescharacteristic
52#188161C2211yescharacteristic, complemented
53#187920C2214yescomplemented
54#187689C2214yescomplemented
55#187689C2214yescomplemented
56#187076C2214yescomplemented
57#187050C2214yescomplemented
58#187050C2214yescomplemented
59#186867C2212yescomplemented
60#186867C2212yescomplemented
61#186832C2212yescomplemented
62#186571C2214yescomplemented
63#186571C2214yescomplemented
64#186562C2214yescomplemented
65#186496C2214yescomplemented
66#186496C2214yescomplemented
67#186318C2214yescomplemented
68#186318C2214yescomplemented
69#186191C2214yescomplemented
70#186191C2214yescomplemented
71#185891C2212yescomplemented
72#185891C2212yescomplemented
73#185778C2212yescomplemented
74#185778C2212yescomplemented
75#185540C2212yescomplemented
76#185540C2212yescomplemented
77#185422C2212yescomplemented
78#185422C2212yescomplemented
79#185248C2212yescomplemented
80#185248C2212yescomplemented
81#184940C2212yes—
82#184940C2212yes—
83#63037D418yes—
84#63032D418yes—
85#63032D418yes—
86#63016D418yes—
87#63001D414yes—
88#63001D414yes—
89#63000D414yes—
90#63000D414yes—
91#62999D412yes—
92#62999D412yes—
93#62998D412yes—
94#62998D412yes—
95Q8×2−1+4D412yes—
96Q8×2−1+4D412yes—
97D4×2−1+4D412yes—
98D4×2−1+4D412yes—
99#62947D418yes—
100#62947D418yes—
101#62945D418yes—
102#62945D418yes—
103#62837C2314yes—
104#62833D418yes—
105#62833C2312yes—
106#62805C2314yes—
107#62805C2314yes—
108C2×#3503D414yes—
109C2×#3503D414yes—
110C2×#3503C2312yes—
111C2×#3503C2312yes—
112#62788C2312yes—
113#62788C2312yes—
114C2×#3502D412yes—
115C2×#3502D412yes—
116C2×#3502C2311yescharacteristic
117C2×#3502C2311yescharacteristic
118#412C2314yes—
119C2×Q8×#41C2312yes—
120C2×Q8×#41C2312yes—
121C22×Q82C2311yescharacteristic
122C2×C4×2−1+4D412yes—
123C2×C4×2−1+4D412yes—
124C2×C4×2−1+4C2311yescharacteristic
125C2×C4×2−1+4C2311yescharacteristic
126#60860C2314yes—
127C2×#3165C2312yes—
128C2×#3139C2312yes—
129C2×#3079C2312yes—
130C2×#3039C2312yes—
131C2×#2862C2311yescharacteristic
132C2×#2568C2311yescharacteristic
133C2×#2546C2311yescharacteristic
134#21799C2312yes—
135#21415C2314yes—
136C2×#1997C2312yes—
137C2×#1997C2312yes—
138C2×#1994C2312yes—
139C2×#1994C2312yes—
140#21312C2312yes—
141#21312C2312yes—
142C2×#1986C2312yes—
143C2×#1986C2312yes—
144#21303C2312yes—
145#21303C2312yes—
146C2×#1806C2312yes—
147C2×#1806C2312yes—
148C2×#1801C2311yescharacteristic
149C2×#1801C2311yescharacteristic
150C4×#417C2312yes—
151C4×#417C2312yes—
152C2×C4×#104C2312yes—
153C2×C4×#104C2312yes—
154C2×C4×#101C2311yescharacteristic
155C2×C4×#101C2311yescharacteristic
156#17752C2314yes—
157#17751C2314yes—
158#17751C2314yes—
159#17648C2314yes—
160#17648C2314yes—
161#17638C2314yes—
162#17546C2314yes—
163#17546C2314yes—
164#17504C2314yes—
165#17504C2314yes—
166#17451C2314yes—
167#17451C2314yes—
168#17447C2314yes—
169#17447C2314yes—
170#17365C2312yes—
171#17365C2312yes—
172#14161C2311yescharacteristic
173C4×#391C2311yescharacteristic
174C4×#391C2311yescharacteristic
175C22×2−1+4C2×D411yescharacteristic
176C22×2−1+4C2×D411yescharacteristic
177#3563C2×D4116yes—
178#3563C2×D4116yes—
179#3556C2×D418yes—
180#3550C2×D418yes—
181#3523C2×D418yes—
182#3523C2×D418yes—
183#3520C2×D418yes—
184#3520C2×D418yes—
185#3511C2×D414yes—
186#3511C2×D414yes—
187#3509C2×D418yes—
188#3509C2×D414yes—
189#3509C2×D414yes—
190#3507C2×D414yes—
191#3507C2×D414yes—
192#3503C2×D418yes—
193#3503C2×D418yes—
194#3503C2×D418yes—
195#3503C2×D418yes—
196#3503C2×D414yes—
197#3503C2×D414yes—
198#3502C2×D418yes—
199#3502C2×D418yes—
200#3502C2×D412yes—
201#3502C2×D412yes—
202#3499C2×D418yes—
203#3499C2×D414yes—
204#3499C2×D414yes—
205#3497C2×D412yes—
206#3497C2×D412yes—
207#3492C2×D418yes—
208#3492C2×D418yes—
209#3486C2×D418yes—
210#3483C2×D414yes—
211#3482C2×D418yes—
212#3482C2×D418yes—
213#3482C2×D414yes—
214#3482C2×D414yes—
215#3482C2×D418yes—
216#3482C2×D418yes—
217#3481C2×D414yes—
218#3480C2×D414yes—
219#3480C2×D414yes—
220Q8×#41C2×D414yes—
221Q8×#41C2×D414yes—
222C2×Q82C2×D412yes—
223C2×Q82C2×D412yes—
224C2×#557C2×D412yes—
225C2×#557C2×D412yes—
226C2×#557C2×D414yes—
227C2×#557C2×D414yes—
228#3475C2×D414yes—
229#3475C2×D414yes—
230C2×#554C2×D412yes—
231C2×#554C2×D412yes—
232C2×#554C2×D414yes—
233C2×#554C2×D414yes—
234D4×#41C2×D414yes—
235D4×#41C2×D414yes—
236C2×D4×Q8C2×D412yes—
237C2×D4×Q8C2×D412yes—
238#3461C2×D418yes—
239#3461C2×D418yes—
240C2×#544C2×D414yes—
241C2×#544C2×D414yes—
242C2×#544C2×D412yes—
243C2×#544C2×D412yes—
244#3444C2414yes—
245C2×#533C2×D414yes—
246C2×#533C2×D414yes—
247C2×#533C2412yes—
248C2×#533C2412yes—
249C22×C4⋊Q8C2×D412yes—
250C22×C4⋊Q8C2×D412yes—
251C22×C4⋊Q8C2×D414yes—
252C22×C4⋊Q8C2411yescharacteristic
253C22×C4⋊Q8C2411yescharacteristic
254C4×2−1+4C2×D412yes—
255C4×2−1+4C2×D412yes—
256C4×2−1+4C2×D412yes—
257C4×2−1+4C2×D412yes—
258C4×2−1+4C2×D414yes—
259C4×2−1+4C2×D414yes—
260C2×#520C2×D412yes—
261C2×#520C2×D412yes—
262C2×#520C2×D414yes—
263C2×#520C2×D414yes—
264C2×#519C2×D411yescharacteristic
265C2×#519C2×D411yescharacteristic
266C2×#519C2×D412yes—
267C2×#519C2×D412yes—
268C2×C4×#41C2×D414yes—
269C2×C4×#41C2×D414yes—
270C2×C4×#41C2412yes—
271C2×C4×#41C2412yes—
272C22×C4×Q8C2×D412yes—
273C22×C4×Q8C2×D412yes—
274C22×C4×Q8C2411yescharacteristic
275C22×C4×Q8C2411yescharacteristic
276#2920C2414yes—
277C2×#423C2412yes—
278C2×#423C2412yes—
279C2×C4×M16C2412yes—
280C2×C4×M16C2412yes—
281C2×C4×C4⋊C4C2411yescharacteristic
282C2×C4×C4⋊C4C2411yescharacteristic
283C2×C43C2411yescharacteristic
284C2×2−1+4#12012yes—
285C2×2−1+4#12012yes—
286C2×2−1+4#12011yescharacteristic
287C2×2−1+4#12011yescharacteristic
288C2×2−1+4#12018yes—
289C2×2−1+4#12011yescharacteristic
290C2×2−1+4#12011yescharacteristic
291C22×#41C22×D412yes—
292C22×#41C22×D412yes—
293C23×Q8#12014yes—
294C23×Q8C22×D411yescharacteristic
295C23×Q8C22×D411yescharacteristic
296C23×Q8C22×D412yes—
297#564#120132yes—
298#563#120132yes—
299#559#12014yes—
300Q82#12014yes—
301#557#12014yes—
302#557#12014yes—
303#557#12018yes—
304#557#12018yes—
305#557#12018yes—
306#557#12018yes—
307#556#12014yes—
308#556#12014yes—
309#556#12018yes—
310#556#12018yes—
311#556#12018yes—
312#556#12018yes—
313#555#12014yes—
314#554#12014yes—
315#554#12014yes—
316#550#12014yes—
317#550#12014yes—
318D4×Q8#12014yes—
319D4×Q8#12014yes—
320D4×Q8#12018yes—
321D4×Q8#12018yes—
322D4×Q8#12018yes—
323D4×Q8#12018yes—
324#547#12014yes—
325#547#12014yes—
326#547#12018yes—
327#547#12018yes—
328#547#12018yes—
329#547#12018yes—
330D42#12014yes—
331#544#12018yes—
332#544#12018yes—
333#544#120116yes—
334#544#120116yes—
335#544#12018yes—
336#544#12018yes—
337#539#120116yes—
338#539#120116yes—
339#537#12018yes—
340#537#12018yes—
341#536#120116yes—
342#533C22×D418yes—
343#533C22×D418yes—
344#533C22×D418yes—
345#533C22×D418yes—
346#533C22×D414yes—
347#533C22×D414yes—
348#533C22×D414yes—
349#532C22×D414yes—
350#532C22×D414yes—
351#532C22×D414yes—
352C2×C4⋊Q8#12014yes—
353C2×C4⋊Q8#12014yes—
354C2×C4⋊Q8#12014yes—
355C2×C4⋊Q8#12014yes—
356C2×C4⋊Q8C22×D418yes—
357C2×C4⋊Q8C22×D412yes—
358C2×C4⋊Q8C22×D412yes—
359C2×C4⋊Q8C22×D412yes—
360C2×C4⋊Q8C22×D412yes—
361#529C22×D418yes—
362#529C22×D418yes—
363C2×#125#12014yes—
364C2×#125#12014yes—
365C2×#125#12014yes—
366C2×#125#12014yes—
367C2×#125C22×D414yes—
368C2×#125C22×D414yes—
369#525C22×D418yes—
370#520#12014yes—
371#520#12014yes—
372#520#12014yes—
373#520#12014yes—
374#520#12018yes—
375#520#12018yes—
376#520#12018yes—
377#520#12018yes—
378#519#12012yes—
379#519#12012yes—
380#519#12012yes—
381#519#12012yes—
382#519#12018yes—
383#519#12018yes—
384#519#12018yes—
385C4×#41C22×D414yes—
386C4×#41C22×D414yes—
387C4×#41C22×D414yes—
388C4×#41C22×D414yes—
389C4×#41C22×D414yes—
390C4×#41C22×D414yes—
391C4×#41C22×D414yes—
392C4×#41C22×D414yes—
393C4×#41C22×D418yes—
394C2×C4×Q8#12014yes—
395C2×C4×Q8#12014yes—
396C2×C4×Q8#12014yes—
397C2×C4×Q8#12014yes—
398C2×C4×Q8C22×D412yes—
399C2×C4×Q8C22×D412yes—
400C2×C4×Q8C22×D412yes—
401C2×C4×Q8C22×D412yes—
402C2×C4×Q8C22×D414yes—
403C2×C4×Q8C22×D414yes—
404C2×C4×Q8C22×D412yes—
405C2×C4×Q8C22×D412yes—
406C2×C4×Q8C22×D412yes—
407C2×C4×Q8C22×D412yes—
408C2×C4×D4#12014yes—
409C2×C4×D4#12014yes—
410C2×C4×D4#12014yes—
411C2×C4×D4#12014yes—
412C2×C4×D4C22×D412yes—
413C2×C4×D4C22×D412yes—
414C2×C4×D4C22×D412yes—
415C2×C4×D4C22×D412yes—
416C2×#117C22×D414yes—
417C2×#117C22×D414yes—
418C2×#117C22×D412yes—
419C2×#117C22×D412yes—
420C22×C4⋊C4#12014yes—
421C22×C4⋊C4#12014yes—
422C22×C4⋊C4C22×D412yes—
423C22×C4⋊C4C22×D412yes—
424C22×C4⋊C4C22×D411yescharacteristic
425C22×C4⋊C4C22×D411yescharacteristic
426C22×C4⋊C4C22×D412yes—
427C22×C4⋊C4C22×D412yes—
428C22×C42#12014yes—
429C22×C42C22×D412yes—
430C22×C42C22×D412yes—
431C22×C42C2511yescharacteristic
4322−1+4#45414yes—
4332−1+4#45614yescomplemented
434C2×#41C2×#12012yes—
435C2×#41C2×#12012yes—
436C2×#41C2×#12012yes—
437C2×#41C2×#12012yes—
438C2×#41C2×#12012yes—
439C2×#41C2×#12012yes—
440C2×#41C2×#12018yes—
441C2×#41C2×#12012yes—
442C2×#41C2×#12012yes—
443C22×Q8C2×#12012yes—
444C22×Q8C2×#12012yes—
445C22×Q8C2×#12011yescharacteristic
446C22×Q8C2×#12011yescharacteristic
447C22×Q8C2×#12018yes—
448C22×Q8C2×#12011yescharacteristic
449C22×Q8C2×#12011yescharacteristic
450C22×Q8C2×#12012yes—
451C22×Q8C2×#12012yes—
452C22×D4C2×#12012yes—
453C22×D4C2×#12012yes—
454C23×C4C2×#12012yes—
455C23×C4C2×#12012yes—
456C23×C4C2×#12014yes—
457C23×C4C2×#12012yes—
458C23×C4C2×#12012yes—
459C23×C4C23×D411yescharacteristic
460C23×C4C23×D411yescharacteristic
461C23×C4C23×D411yescharacteristic
462C4⋊Q8C2×#12018yes—
463C4⋊Q8C2×#12018yes—
464C4⋊Q8C2×#12018yes—
465C4⋊Q8C2×#12018yes—
466C4⋊Q8C2×#12014yes—
467C4⋊Q8C2×#12014yes—
468C4⋊Q8C2×#12014yes—
469#127C2×#12014yes—
470#125C2×#120116yes—
471#125C2×#120116yes—
472#125C2×#12018yes—
473#124C2×#12018yes—
474C22⋊Q8C2×#12018yes—
475C22⋊Q8C2×#12018yes—
476#121C2×#12018yes—
477#121C2×#12018yes—
478C4×Q8C2×#12014yes—
479C4×Q8C2×#12014yes—
480C4×Q8C2×#12014yes—
481C4×Q8C2×#12014yes—
482C4×Q8C2×#12014yes—
483C4×Q8C2×#12014yes—
484C4×Q8C2×#12014yes—
485C4×Q8C2×#12014yes—
486C4×Q8C2×#12018yes—
487C4×Q8C2×#12018yes—
488C4×D4C2×#12014yes—
489C4×D4C2×#12014yes—
490C4×D4C2×#12014yes—
491C4×D4C2×#12014yes—
492C4×D4C2×#12014yes—
493C4×D4C2×#12014yes—
494C4×D4C2×#12014yes—
495C4×D4C2×#12014yes—
496C4×D4C2×#12018yes—
497C4×D4C2×#12018yes—
498#117C2×#12014yes—
499#117C2×#12014yes—
500#117C2×#12014yes—
501#117C2×#12014yes—
502#117C2×#12018yes—
503#117C2×#12018yes—
504#117C2×#12018yes—
505#117C2×#12018yes—
506#117C2×#12018yes—
507C2×C4⋊C4C2×#12014yes—
508C2×C4⋊C4C2×#12014yes—
509C2×C4⋊C4C2×#12014yes—
510C2×C4⋊C4C2×#12014yes—
511C2×C4⋊C4C2×#12012yes—
512C2×C4⋊C4C2×#12012yes—
513C2×C4⋊C4C2×#12012yes—
514C2×C4⋊C4C2×#12012yes—
515C2×C4⋊C4C2×#12012yes—
516C2×C4⋊C4C2×#12012yes—
517C2×C4⋊C4C2×#12014yes—
518C2×C4⋊C4C2×#12014yes—
519C2×C4⋊C4C2×#12014yes—
520C2×C4⋊C4C2×#12014yes—
521C2×C4⋊C4C2×#12012yes—
522C2×C4⋊C4C2×#12012yes—
523C2×C4⋊C4C2×#12018yes—
524C2×C4⋊C4C2×#12018yes—
525C2×C42C2×#12014yes—
526C2×C42C2×#12014yes—
527C2×C42C2×#12014yes—
528C2×C42C2×#12014yes—
529C2×C42C23×D412yes—
530C2×C42C23×D412yes—
531C2×C42C23×D412yes—
532C2×C42C23×D412yes—
533C2×C42C23×D414yes—
534C24C22×#12011yescharacteristic
535#41C2×#45414yes—
536#41C2×#45614yes—
537#41#302014yes—
538#41#302014yes—
539C2×Q8#284612yes—
540C2×Q8#284612yes—
541C2×Q8#284618yes—
542C2×Q8#284612yes—
543C2×Q8#284612yes—
544C2×Q8C2×#45412yes—
545C2×Q8C2×#45612yes—
546C2×Q8#302012yes—
547C2×Q8#302012yes—
548C2×D4#284612yes—
549C2×D4#284612yes—
550C2×D4#284618yes—
551C2×D4#284612yes—
552C2×D4#284612yes—
553C22×C4#284612yes—
554C22×C4#284612yes—
555C22×C4#284614yes—
556C22×C4#284614yes—
557C22×C4#284612yes—
558C22×C4#284612yes—
559C22×C4#284618yes—
560C22×C4C22×#12011yescharacteristic
561C22×C4C22×#12011yescharacteristic
562C22×C4C22×#12012yes—
563C22×C4C22×#12012yes—
564C22×C4C22×#12012yes—
565C22×C4C22×#12012yes—
566C22×C4C22×#12012yes—
567C22×C4C22×#12012yes—
568C22×C4C22×#12011yescharacteristic
569C22×C4C22×#12011yescharacteristic
570C22×C4C22×#12012yes—
571C4⋊C4#284614yes—
572C4⋊C4#284614yes—
573C4⋊C4#284614yes—
574C4⋊C4#284614yes—
575C4⋊C4#284618yes—
576C4⋊C4#284618yes—
577C4⋊C4#284618yes—
578C4⋊C4#284618yes—
579C4⋊C4#284618yes—
580C4⋊C4#284618yes—
581C42C22×#12014yes—
582C42C22×#12014yes—
583C42C22×#12014yes—
584C42C22×#12014yes—
585C23C2×#284611yescharacteristic
586C23C2×#284611yescharacteristic
587C23C2×#284611yescharacteristic
588Q8#3288914yes—
589Q8#3289214yes—
590D4#3288914yes—
591D4#3289214yes—
592C2×C4#3288914yes—
593C2×C4#3289214yes—
594C2×C4C2×#284612yes—
595C2×C4C2×#284612yes—
596C2×C4C2×#284612yes—
597C2×C4C2×#284612yes—
598C2×C4C2×#284614yes—
599C2×C4C22×#45411yescharacteristic
600C2×C4C22×#45611yescharacteristic
601C2×C4C2×#302011yescharacteristic
602C2×C4C2×#302011yescharacteristic
603C2×C4C2×#302012yes—
604C2×C4C2×#302012yes—
605C22#634237111yescharacteristic
606C22C2×#3288911yescharacteristic
607C22C2×#3289211yescharacteristic
608C22#662886811yescharacteristic
609C22#662886811yescharacteristic
610C4C2×#3288912yes—
611C4C2×#3289212yes—
612C4#662886812yes—
613C4#662886812yes—
614C2#7221033311yescharacteristic
615C2#7221220511yescharacteristic
616C2#7222773111yescharacteristic
subgroupG/H
center, socleC22#6342371
commutator, Frattini, cosocleC22×C42C25
prime radical2−1+42C2
LCSG ▷ C22×C42 ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ C22×C42 ◁ G
LECSG ▷ C22×C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #72271575C2semidirect
2. #72271570C2semidirect
3. #72271566C2semidirect
4. #72271563C2semidirect
5. #72271558C2semidirect
6. #72271523C2semidirect
7. #72271446C2semidirect
8. #72271341C2semidirect
9. #72268191C2semidirect
10. #72268191C2semidirect
11. #72268190C2semidirect
12. #72268188C2semidirect
13. #72268188C2semidirect
15. #72268184C2semidirect
16. #72268183C2semidirect
17. #72268183C2semidirect
28. #6524713C22semidirect
29. C2×#25919C22semidirect
30. C2×#25923C22semidirect
31. #6447696C22semidirect
32. C2×#25826C22semidirect
33. C2×#25829C22semidirect
34. #6445755C22semidirect
35. #6351649C22semidirect
36. #6348999C22semidirect
37. #6348397C22semidirect
38. #6348389C22semidirect
39. #6347328C22semidirect
40. #6347327C22semidirect
41. #676700C22semidirect
42. #362786C22semidirect
43. #362786C22semidirect
44. #362773C22semidirect
45. #362773C22semidirect
46. #362756C22semidirect
47. #362756C22semidirect
48. #362734C22semidirect
49. #362734C22semidirect
52. #188161C22semidirect
53. #187920C22semidirect
54. #187689C22semidirect
55. #187689C22semidirect
56. #187076C22semidirect
57. #187050C22semidirect
58. #187050C22semidirect
59. #186867C22semidirect
60. #186867C22semidirect
61. #186832C22semidirect
62. #186571C22semidirect
63. #186571C22semidirect
64. #186562C22semidirect
65. #186496C22semidirect
66. #186496C22semidirect
67. #186318C22semidirect
68. #186318C22semidirect
69. #186191C22semidirect
70. #186191C22semidirect
71. #185891C22semidirect
72. #185891C22semidirect
73. #185778C22semidirect
74. #185778C22semidirect
75. #185540C22semidirect
76. #185540C22semidirect
77. #185422C22semidirect
78. #185422C22semidirect
79. #185248C22semidirect
80. #185248C22semidirect
433. 2−1+4#456semidirect

Maximal subgroups

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

subgroupindex
#722715752
#722715702
#722715662
#722715632
#722715582
#722715232
#722714462
#722713412
#722681912
#722681902
#722681882
2−1+422
#722681842
#722681832