Finite Group Databasebeta

← #6344485

Subgroups — #6344485

Order 512.

1610 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60263C211yesmaximal, characteristic
2C2×#2989C211yesmaximal, characteristic
3#60127C211yesmaximal, characteristic
4#17825C218yesmaximal, complemented
5#17822C212yesmaximal, complemented
6#17820C212yesmaximal, complemented
7#17816C212yesmaximal, complemented
8#17814C212yesmaximal, complemented
9#17812C214yesmaximal, complemented
10#17809C211yesmaximal, characteristic, complemented
11#17807C211yesmaximal, characteristic, complemented
12#17803C211yesmaximal, characteristic, complemented
13C2×#1571C211yesmaximal, characteristic, complemented
14#17799C214yesmaximal, complemented
15C2×C4×#41C2211yescharacteristic
16#2991—21no—
17#2990—22no—
18#2990—21no—
19#2989—22no—
20#2989—21no—
21#2989—21no—
22#2989C2212yes—
23#2989C2212yes—
24#2989C2214yes—
25#2989C2212yes—
26#2989C2214yes—
27#2988C2212yes—
28Q8×M16—21no—
29C2×#446—21no—
30D4×M16—22no—
31D4×M16—21no—
32C2×#436—21no—
33C2×#435—22no—
34#2925C412yes—
35#2925C414yes—
36#2924C412yes—
37#2924C414yes—
38#2922C2212yes—
39#2922C2214yes—
40#2920C2211yescharacteristic
41#2920C2212yes—
42#2920C2211yescharacteristic
43#2920C2212yes—
44C2×#432C2212yes—
45C2×#431C2211yescharacteristic
46C2×#431C2211yescharacteristic
47C2×#431C2212yes—
48#2906C412yes—
49C2×#423C2212yes—
50C2×#423C2211yescharacteristic
51C2×#423C2212yes—
52C22×C4⋊C8C2211yescharacteristic
53#2880C412yes—
54C4×#131C2212yes—
55#1574C2214yescomplemented
56#1574C2218yescomplemented
57#1573C2214yescomplemented
58#1573C2218yescomplemented
59#1572C2214yescomplemented
60#1572C2218yescomplemented
61#1571C2212yes—
62#1571C2212yes—
63#1571C2211yescharacteristic
64#1571C2211yescharacteristic
65#1571C2212yes—
66#1571C2212yes—
67#1571C2214yescomplemented
68#1571C2218yescomplemented
69#1570C2211yescharacteristic
70#1570C2211yescharacteristic
71#1570C2212yes—
72#1570C2212yes—
73#1569C2218yescomplemented
74#1569C2218yescomplemented
75#1568C2218yescomplemented
76#1567C2218yescomplemented
77#1565C2214yescomplemented
78#1565C2214yescomplemented
79#1564C2214yescomplemented
80C2×#335C2214yescomplemented
81C22×#41C2×C411yescharacteristic
82C2×#131C2×C414yes—
83C22×M16—22no—
84C22×M16—21no—
85C22×M16—22no—
86C23×C8—21no—
87C4×#41C2×C411yescharacteristic
88C4×#41C2×C411yescharacteristic
89C4×#41C2×C412yes—
90C4×#41D412yes—
91C4×#41D411yescharacteristic
92C4×#41D411yescharacteristic
93C4×#41Q811yescharacteristic
94C4×#41Q812yes—
95C4×#41Q811yescharacteristic
96C4×#41C2311yescharacteristic
97C4×#41C2311yescharacteristic
98C4×#41C2312yes—
99C2×C4×Q8D411yescharacteristic
100C2×C4×Q8Q811yescharacteristic
101C2×C4×D4D412yes—
102C2×C4×D4D411yescharacteristic
103C2×C4×D4Q811yescharacteristic
104C2×C4×D4Q812yes—
105C2×#117C2×C411yescharacteristic
106C2×#117C2×C412yes—
107C22×C42C2311yescharacteristic
108C22×C42C2312yes—
109#446—22no—
110#446—22no—
111#446—24no—
112#446—22no—
113#446—24no—
114C8×Q8—22no—
115#436—22no—
116#436—24no—
117#436—22no—
118#436—24no—
119#436—22no—
120#435—24no—
121#435—24no—
122#435—24no—
123#435—24no—
124#435—24no—
125#435—24no—
126#435—24no—
127C8×D4—24no—
128C8×D4—22no—
129#433C2×C418yes—
130#433C2×C418yes—
131#433C2×C418yes—
132#432—22no—
133#432—22no—
134#432—21no—
135#432—22no—
136#432C2×C412yes—
137#432C2×C414yes—
138#432C2×C412yes—
139#432C2×C414yes—
140#432C2314yes—
141#432C2314yes—
142#432C2314yes—
143#432C2312yes—
144#431—21no—
145#431—21no—
146#431—21no—
147#431—22no—
148#431C2×C412yes—
149#431C2×C414yes—
150#431C2×C412yes—
151#431C2×C414yes—
152#431C2312yes—
153#431C2312yes—
154#431C2312yes—
155#431C2314yes—
156#431C2311yescharacteristic
157#431C2312yes—
158#431C2311yescharacteristic
159#431C2312yes—
160#431C2314yes—
161#431C2312yes—
162#431C2314yes—
163#424C2×C414yes—
164#424C2×C418yes—
165#423—21no—
166#423—22no—
167#423—22no—
168#423—22no—
169#423—21no—
170#423—22no—
171#423C2×C412yes—
172#423C2×C414yes—
173#423C2314yes—
174#423C2314yes—
175#423C2311yescharacteristic
176#423C2311yescharacteristic
177#423C2312yes—
178#423C2314yes—
179#423C2312yes—
180C2×C4⋊C8—21no—
181C2×C4⋊C8—21no—
182C2×C4⋊C8—21no—
183C2×C4⋊C8—22no—
184C2×C4⋊C8—21no—
185C2×C4⋊C8—22no—
186C2×C4⋊C8C2×C412yes—
187C2×C4⋊C8C2×C414yes—
188C2×C4⋊C8C2312yes—
189C2×C4⋊C8C2312yes—
190C2×C4⋊C8C2311yescharacteristic
191C2×C4⋊C8C2312yes—
192C2×C4⋊C8C2311yescharacteristic
193C2×C4⋊C8C2312yes—
194C2×C4⋊C8C2314yes—
195#408C2×C414yes—
196#408C2×C418yes—
197#407—21no—
198#407—22no—
199#407C2×C412yes—
200#407C2×C414yes—
201C2×C22⋊C8—21no—
202C2×C22⋊C8—22no—
203C2×C22⋊C8C2×C412yes—
204C2×C22⋊C8C2×C414yes—
205#405C2×C414yes—
206#405C2×C418yes—
207C4×M16—21no—
208C4×M16—22no—
209C4×M16C2312yes—
210C4×M16C2314yes—
211C2×#97—22no—
212C2×C4×C8—21no—
213C2×C4×C8C2312yes—
214C2×C4×C8C2314yes—
215#335C2318yes—
216#335C2318yes—
217#335C2314yes—
218#335C2314yes—
219#335C2318yes—
220#335C2318yes—
221#334C2314yes—
222#334C2314yes—
223#334C2318yes—
224#334C2318yes—
225C2×#41—44no—
226C2×#41C4⋊C412yes—
227C2×#41C4⋊C411yescharacteristic
228C2×#41C4⋊C411yescharacteristic
229C2×#41C22×C411yescharacteristic
230C2×#41C22×C411yescharacteristic
231C2×#41C22×C412yes—
232C22×Q8C4⋊C411yescharacteristic
233C22×D4C4⋊C411yescharacteristic
234C22×D4C4⋊C412yes—
235C23×C4C22×C411yescharacteristic
236C23×C4C22×C412yes—
237C23×C4C2×D411yescharacteristic
238C23×C4C2×D412yes—
239C23×C4C2×Q811yescharacteristic
240C23×C4C2×Q812yes—
241#131—48no—
242C2×M16—22no—
243C2×M16—21no—
244C2×M16—21no—
245C2×M16—24no—
246C2×M16—24no—
247C2×M16—22no—
248C2×M16—24no—
249C2×M16—84no—
250C2×M16—82no—
251C2×M16—84no—
252C2×M16C22×C414yes—
253C2×M16C22×C418yes—
254C22×C8—22no—
255C22×C8—21no—
256C22×C8—21no—
257C22×C8—22no—
258C22×C8—22no—
259C22×C8—22no—
260C22×C8—24no—
261C22×C8—82no—
262C22×C8C22×C414yes—
263C22×C8C22×C418yes—
264C4×Q8C4⋊C411yescharacteristic
265C4×Q8C4⋊C411yescharacteristic
266C4×Q8C4⋊C412yes—
267C4×Q8C4⋊C411yescharacteristic
268C4×Q8C4⋊C411yescharacteristic
269C4×Q8C4⋊C412yes—
270C4×Q8C2×D411yescharacteristic
271C4×Q8C2×D411yescharacteristic
272C4×Q8C2×D412yes—
273C4×Q8C2×Q811yescharacteristic
274C4×Q8C2×Q811yescharacteristic
275C4×Q8C2×Q812yes—
276C4×D4C4⋊C412yes—
277C4×D4C4⋊C412yes—
278C4×D4C4⋊C411yescharacteristic
279C4×D4C4⋊C411yescharacteristic
280C4×D4C4⋊C412yes—
281C4×D4C4⋊C412yes—
282C4×D4C4⋊C412yes—
283C4×D4C4⋊C412yes—
284C4×D4C4⋊C411yescharacteristic
285C4×D4C4⋊C412yes—
286C4×D4C4⋊C411yescharacteristic
287C4×D4C4⋊C412yes—
288C4×D4C4⋊C412yes—
289C4×D4C4⋊C412yes—
290C4×D4C2×D412yes—
291C4×D4C2×D411yescharacteristic
292C4×D4C2×D412yes—
293C4×D4C2×D412yes—
294C4×D4C2×D412yes—
295C4×D4C2×D412yes—
296C4×D4C2×D411yescharacteristic
297C4×D4C2×Q812yes—
298C4×D4C2×Q811yescharacteristic
299C4×D4C2×Q812yes—
300C4×D4C2×Q811yescharacteristic
301C4×D4C2×Q812yes—
302C4×D4C2×Q812yes—
303C4×D4C2×Q812yes—
304#117C4⋊C411yescharacteristic
305#117C4⋊C412yes—
306#117C4⋊C411yescharacteristic
307#117C4⋊C412yes—
308#117C4⋊C412yes—
309#117C4⋊C412yes—
310#117C4⋊C412yes—
311#117C22×C412yes—
312#117C22×C411yescharacteristic
313#117C22×C412yes—
314#117C22×C411yescharacteristic
315#117C22×C412yes—
316#117C22×C412yes—
317#117C22×C412yes—
318C2×C4⋊C4C4⋊C411yescharacteristic
319C2×C4⋊C4C4⋊C412yes—
320C2×C4⋊C4C4⋊C411yescharacteristic
321C2×C4⋊C4C4⋊C412yes—
322C2×C22⋊C4C4⋊C412yes—
323C2×C22⋊C4C4⋊C412yes—
324C2×C22⋊C4C4⋊C412yes—
325C2×C42C22×C411yescharacteristic
326C2×C42C22×C412yes—
327C2×C42C22×C412yes—
328C2×C42C22×C411yescharacteristic
329C2×C42C22×C411yescharacteristic
330C2×C42C22×C412yes—
331C2×C42C2×D411yescharacteristic
332C2×C42C2×D412yes—
333C2×C42C2×D411yescharacteristic
334C2×C42C2×D411yescharacteristic
335C2×C42C2×D412yes—
336C2×C42C2×D412yes—
337C2×C42C2×Q811yescharacteristic
338C2×C42C2×Q812yes—
339C2×C42C2×Q811yescharacteristic
340C2×C42C2×Q811yescharacteristic
341C2×C42C2×Q812yes—
342C2×C42C2×Q812yes—
343C2×C42C2411yescharacteristic
344C2×C42C2412yes—
345C2×C42C2412yes—
346C2×C42C2411yescharacteristic
347C2×C42C2411yescharacteristic
348C4⋊C8—22no—
349C4⋊C8—22no—
350C4⋊C8—22no—
351C4⋊C8—22no—
352C4⋊C8—21no—
353C4⋊C8—24no—
354C4⋊C8—22no—
355C4⋊C8—24no—
356C4⋊C8—24no—
357C4⋊C8—21no—
358C4⋊C8—22no—
359C4⋊C8—24no—
360C4⋊C8—21no—
361C4⋊C8—21no—
362C4⋊C8C22×C412yes—
363C4⋊C8C22×C412yes—
364C4⋊C8C22×C414yes—
365C4⋊C8C22×C414yes—
366C4⋊C8C22×C418yes—
367C4⋊C8C22×C418yes—
368C4⋊C8C22×C414yes—
369C4⋊C8C2412yes—
370C4⋊C8C2412yes—
371C4⋊C8C2414yes—
372C4⋊C8C2412yes—
373C4⋊C8C2414yes—
374C4⋊C8C2412yes—
375C22⋊C8—22no—
376C22⋊C8—22no—
377C22⋊C8—24no—
378C22⋊C8—24no—
379C22⋊C8—22no—
380C22⋊C8—24no—
381C22⋊C8—22no—
382C22⋊C8—24no—
383C22⋊C8C22×C412yes—
384C22⋊C8C22×C412yes—
385C22⋊C8C22×C414yes—
386C22⋊C8C22×C414yes—
387C22⋊C8C22×C418yes—
388C22⋊C8C22×C418yes—
389C22⋊C8C22×C414yes—
390#97—24no—
391#97—24no—
392#97—22no—
393#97—24no—
394#97C22×C414yes—
395#97C22×C418yes—
396C4×C8—22no—
397C4×C8—22no—
398C4×C8—22no—
399C4×C8—24no—
400C4×C8C22×C414yes—
401C4×C8C22×C418yes—
402C4×C8C2412yes—
403C4×C8C2414yes—
404C4×C8C2412yes—
405C24C2×C4⋊C411yescharacteristic
406C24C2×C4⋊C412yes—
407#41—24no—
408#41—24no—
409#41—44no—
410#41—44no—
411#41—42no—
412#41—42no—
413C2×Q8—42no—
414C2×Q8C2×C4⋊C411yescharacteristic
415C2×Q8C2×C4⋊C411yescharacteristic
416C2×Q8C2×C4⋊C412yes—
417C2×D4—42no—
418C2×D4—44no—
419C2×D4C2×C4⋊C412yes—
420C2×D4C2×C4⋊C412yes—
421C2×D4C2×C4⋊C411yescharacteristic
422C2×D4C2×C4⋊C411yescharacteristic
423C2×D4C2×C4⋊C412yes—
424C2×D4C2×C4⋊C412yes—
425C2×D4C2×C4⋊C412yes—
426C22×C4—24no—
427C22×C4—22no—
428C22×C4—24no—
429C22×C4—22no—
430C22×C4—24no—
431C22×C4—44no—
432C22×C4—81no—
433C22×C4—82no—
434C22×C4C2×C4⋊C411yescharacteristic
435C22×C4C2×C4⋊C412yes—
436C22×C4C2×C4⋊C412yes—
437C22×C4C2×C4⋊C411yescharacteristic
438C22×C4C2×C4⋊C412yes—
439C22×C4C2×C4⋊C411yescharacteristic
440C22×C4C2×C4⋊C411yescharacteristic
441C22×C4C2×C4⋊C411yescharacteristic
442C22×C4C2×C4⋊C411yescharacteristic
443C22×C4C2×C4⋊C411yescharacteristic
444C22×C4C2×C4⋊C412yes—
445C22×C4C2×C4⋊C412yes—
446C22×C4C2×C4⋊C411yescharacteristic
447C22×C4C2×C4⋊C412yes—
448C22×C4C2×C4⋊C411yescharacteristic
449C22×C4C2×C4⋊C412yes—
450C22×C4C2×C4⋊C412yes—
451C22×C4C2×C4⋊C412yes—
452C22×C4C23×C411yescharacteristic
453C22×C4C23×C411yescharacteristic
454C22×C4C23×C412yes—
455C22×C4C23×C412yes—
456C22×C4C23×C411yescharacteristic
457C22×C4C22×D411yescharacteristic
458C22×C4C22×D411yescharacteristic
459C22×C4C22×D412yes—
460C22×C4C22×D412yes—
461C22×C4C22×D411yescharacteristic
462C22×C4C22×Q811yescharacteristic
463C22×C4C22×Q812yes—
464C22×C4C22×Q811yescharacteristic
465C22×C4C22×Q812yes—
466C22×C4C22×Q811yescharacteristic
467M16—28no—
468M16—48no—
469M16—44no—
470M16—42no—
471M16—42no—
472M16—84no—
473M16—84no—
474M16—82no—
475M16—84no—
476C2×C8—28no—
477C2×C8—22no—
478C2×C8—22no—
479C2×C8—22no—
480C2×C8—22no—
481C2×C8—24no—
482C2×C8—24no—
483C2×C8—48no—
484C2×C8—44no—
485C2×C8—42no—
486C2×C8—42no—
487C2×C8—82no—
488C2×C8—82no—
489C2×C8—82no—
490C2×C8—84no—
491C2×C8C23×C414yes—
492C2×C8C23×C414yes—
493C2×C8C23×C418yes—
494C4⋊C4C2×C4⋊C412yes—
495C4⋊C4C2×C4⋊C412yes—
496C4⋊C4C2×C4⋊C412yes—
497C4⋊C4C2×C4⋊C412yes—
498C4⋊C4C2×C4⋊C412yes—
499C4⋊C4C2×C4⋊C411yescharacteristic
500C4⋊C4C2×C4⋊C411yescharacteristic
501C4⋊C4C2×C4⋊C412yes—
502C4⋊C4C2×C4⋊C412yes—
503C4⋊C4C2×C4⋊C412yes—
504C4⋊C4C2×C4⋊C412yes—
505C4⋊C4C2×C4⋊C412yes—
506C4⋊C4C2×C4⋊C411yescharacteristic
507C4⋊C4C2×C4⋊C411yescharacteristic
508C22⋊C4C2×C4⋊C412yes—
509C22⋊C4C2×C4⋊C412yes—
510C22⋊C4C2×C4⋊C412yes—
511C22⋊C4C2×C4⋊C412yes—
512C22⋊C4C2×C4⋊C412yes—
513C22⋊C4C2×C4⋊C412yes—
514C22⋊C4C2×C4⋊C412yes—
515C22⋊C4C2×C4⋊C412yes—
516C22⋊C4C2×C4⋊C412yes—
517C22⋊C4C2×C4⋊C412yes—
518C22⋊C4C2×C4⋊C412yes—
519C22⋊C4C2×C4⋊C412yes—
520C42C2×C4⋊C411yescharacteristic
521C42C2×C4⋊C411yescharacteristic
522C42C2×C4⋊C412yes—
523C42C2×C4⋊C412yes—
524C42C2×C4⋊C412yes—
525C42C2×C4⋊C411yescharacteristic
526C42C2×C4⋊C412yes—
527C42C2×C4⋊C411yescharacteristic
528C42C2×C4⋊C412yes—
529C42C2×C4⋊C411yescharacteristic
530C42C2×C4⋊C412yes—
531C42C2×C4⋊C411yescharacteristic
532C42C23×C411yescharacteristic
533C42C23×C412yes—
534C42C23×C411yescharacteristic
535C42C23×C411yescharacteristic
536C42C23×C412yes—
537C42C22×D411yescharacteristic
538C42C22×D411yescharacteristic
539C42C22×D412yes—
540C42C22×D412yes—
541C42C22×D411yescharacteristic
542C42C22×Q811yescharacteristic
543C42C22×Q812yes—
544C42C22×Q811yescharacteristic
545C42C22×Q812yes—
546C42C22×Q811yescharacteristic
547C42C2511yescharacteristic
548C23—22no—
549C23—22no—
550C23—24no—
551C23—41no—
552C23—42no—
553C23—42no—
554C23C22×C4⋊C411yescharacteristic
555C23C22×C4⋊C412yes—
556C23C22×C4⋊C412yes—
557C23C22×C4⋊C411yescharacteristic
558C23C22×C4⋊C411yescharacteristic
559Q8—22no—
560Q8—22no—
561Q8—42no—
562D4—24no—
563D4—24no—
564D4—22no—
565D4—22no—
566D4—42no—
567D4—42no—
568D4—42no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—24no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—24no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—24no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—42no—
591C2×C4—42no—
592C2×C4—42no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—41no—
599C2×C4—42no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4C22×C4⋊C411yescharacteristic
605C2×C4C22×C4⋊C411yescharacteristic
606C2×C4C22×C4⋊C411yescharacteristic
607C2×C4C22×C4⋊C412yes—
608C2×C4C22×C4⋊C411yescharacteristic
609C2×C4C22×C4⋊C412yes—
610C2×C4C22×C4⋊C411yescharacteristic
611C2×C4C22×C4⋊C412yes—
612C2×C4C22×C4⋊C411yescharacteristic
613C2×C4C22×C4⋊C412yes—
614C2×C4C22×C4⋊C411yescharacteristic
615C2×C4C22×C4⋊C412yes—
616C2×C4C22×C4⋊C412yes—
617C2×C4C22×C4⋊C411yescharacteristic
618C2×C4C22×C4⋊C411yescharacteristic
619C2×C4#56814yes—
620C2×C4#57612yes—
621C2×C4#57812yes—
622C2×C4C24×C411yescharacteristic
623C2×C4C23×D411yescharacteristic
624C2×C4C23×Q811yescharacteristic
625C8—24no—
626C8—24no—
627C8—28no—
628C8—44no—
629C8—42no—
630C8—44no—
631C8—42no—
632C8—42no—
633C8—42no—
634C22—21no—
635C22—21no—
636C22—21no—
637C22—21no—
638C22—21no—
639C22—22no—
640C22—22no—
641C22—21no—
642C22—22no—
643C22—22no—
644C22—21no—
645C22—22no—
646C22—22no—
647C22—44no—
648C22—84no—
649C22#290512yes—
650C22#291312yes—
651C22C23×C4⋊C411yescharacteristic
652C4—21no—
653C4—21no—
654C4—22no—
655C4—22no—
656C4—21no—
657C4—21no—
658C4—22no—
659C4—22no—
660C4—21no—
661C4—21no—
662C4—21no—
663C4—21no—
664C4—22no—
665C4—22no—
666C4#290512yes—
667C4#291312yes—
668C4C2×#56812yes—
669C4C2×#57611yescharacteristic
670C4C2×#57811yescharacteristic
671C2—22no—
672C2—22no—
673C2—41no—
674C2—42no—
675C2—42no—
676C2C2×#290511yescharacteristic
677C2C2×#291311yescharacteristic
678C2#6011311yescharacteristic
subgroupG/H
centerC2×C4C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC42C25
socleC22C23×C4⋊C4
prime radicalC22×#41C2×C4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ C2×C4×#41 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
4. #17825C2semidirect
5. #17822C2semidirect
6. #17820C2semidirect
7. #17816C2semidirect
8. #17814C2semidirect
9. #17812C2semidirect
10. #17809C2semidirect
11. #17807C2semidirect
12. #17803C2semidirect
13. C2×#1571C2semidirect
14. #17799C2semidirect
55. #1574C22semidirect
56. #1574C22semidirect
57. #1573C22semidirect
58. #1573C22semidirect
59. #1572C22semidirect
60. #1572C22semidirect
67. #1571C22semidirect
68. #1571C22semidirect
73. #1569C22semidirect
74. #1569C22semidirect
75. #1568C22semidirect
76. #1567C22semidirect
77. #1565C22semidirect
78. #1565C22semidirect
79. #1564C22semidirect
80. C2×#335C22semidirect

Maximal subgroups

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

subgroupindex
#602632
C2×#29892
#601272
#178252
#178222
#178202
#178162
#178142
#178122
#178092
#178072
#178032
C2×#15712
#177992