Finite Group Databasebeta

← #28318831

Subgroups — #28318831

Order 13568.

1010 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811654C211yesmaximal, characteristic
2C2×D4×#88324C211yesmaximal, characteristic
3#20290514C211yesmaximal, characteristic, complemented
4#20290510C211yesmaximal, characteristic, complemented
5#20290503C211yesmaximal, characteristic, complemented
6#20290457C211yesmaximal, characteristic, complemented
7#20290452C211yesmaximal, characteristic, complemented
8#20290452C211yesmaximal, characteristic, complemented
9C22⋊C4×#88324C211yesmaximal, characteristic, complemented
10#20290445C211yesmaximal, characteristic, complemented
11#20290441C211yesmaximal, characteristic, complemented
12#20290434C211yesmaximal, characteristic, complemented
13#20290381C211yesmaximal, characteristic, complemented
14C2×#16811489C211yesmaximal, characteristic, complemented
15#20277155C211yesmaximal, characteristic
16C22×#11719940C2211yescharacteristic
17C23×#88324C2211yescharacteristic
18C23×#88324C2211yescharacteristic
19C23×#88324C2211yescharacteristic
20#16811654C418yescomplemented
21D4×#88324C418yescomplemented
22C2×#13133284C2211yescharacteristic
23C2×C4⋊#88324C2211yescharacteristic
24C2×C22⋊#88324C2211yescharacteristic
25C2×C22⋊#88324C2211yescharacteristic
26C2×C22⋊#88324C2211yescharacteristic
27C2×C22⋊#88324C2211yescharacteristic
28C2×#13133272C2211yescharacteristic
29C2×#13133272C2211yescharacteristic
30C2×#13133272C2211yescharacteristic
31C2×#13133272C2211yescharacteristic
32C2×#13133272C2211yescharacteristic
33C2×C4×#88324C2211yescharacteristic
34C2×C4×#88324C2211yescharacteristic
35C2×C4×#88324C2211yescharacteristic
36#16811489C2211yescharacteristic
37#16811489C2211yescharacteristic
38#16811489C2211yescharacteristic
39#16811489C2211yescharacteristic
40#16811489C2211yescharacteristic
41#16811489C2211yescharacteristic
42#16811489C2211yescharacteristic
43#16811489C2211yescharacteristic
44#16811489C2211yescharacteristic
45#16811489C2211yescharacteristic
46C2×D4×Dic53C2211yescharacteristic
47C2×#13133173C2211yescharacteristic
48C22×C4×Dic53C2211yescharacteristic
49#16810517C411yescharacteristic
50#16810511C411yescharacteristic
51#16810508C411yescharacteristic
52#16810506C411yescharacteristic
53#16810503C411yescharacteristic
54#16810496C411yescharacteristic
55#16810495C411yescharacteristic
56#16810474C2211yescharacteristic
57C22⋊C4×Dic53C2211yescharacteristic
58C22⋊C4×Dic53C2211yescharacteristic
59#16810468C2211yescharacteristic
60C53×#386C411yescharacteristic
61C2×#11719940—41no—
62C2×#11719940—41no—
63C2×#11719940C2×C414yescomplemented
64C22×#88324—41no—
65C22×#88324—41no—
66C22×#88324—41no—
67C22×#88324—41no—
68C22×#88324—41no—
69C22×#88324—41no—
70C22×#88324C2×C414yes—
71C22×#88324C2×C414yes—
72C22×#88324C2×C414yescomplemented
73C22×#88324C2311yescharacteristic
74C22×#88324C2311yescharacteristic
75C22×#88324C2311yescharacteristic
76C22×#88324C2311yescharacteristic
77C22×#88324C2311yescharacteristic
78C22×#88324C2311yescharacteristic
79C22×#88324C2311yescharacteristic
80C22×#88324C2311yescharacteristic
81#13133284C2×C414yescomplemented
82C4⋊#88324C2×C414yescomplemented
83C22⋊#88324C2×C414yes—
84C22⋊#88324C2×C414yes—
85C22⋊#88324C2×C414yescomplemented
86C22⋊#88324C2×C414yescomplemented
87#13133272—41no—
88#13133272—41no—
89#13133272—41no—
90#13133272—41no—
91#13133272C2×C414yescomplemented
92C4×#88324—41no—
93C4×#88324—41no—
94C4×#88324C2×C414yescomplemented
95C23×Dic53C2×C411yescharacteristic
96C23×Dic53C2311yescharacteristic
97C23×Dic53C2311yescharacteristic
98D4×Dic53C2×C414yes—
99D4×Dic53C2×C414yes—
100#13133173—41no—
101#13133173—41no—
102C2×C4⋊Dic53C2×C411yescharacteristic
103C2×#11719919C2×C411yescharacteristic
104C2×#11719919C2×C411yescharacteristic
105C2×#11719919C2×C411yescharacteristic
106C2×#11719919C2×C411yescharacteristic
107C2×C22⋊Dic53C2×C411yescharacteristic
108C2×C22⋊Dic53C2×C411yescharacteristic
109C2×C22⋊Dic53C2×C411yescharacteristic
110C2×C22⋊Dic53C2×C411yescharacteristic
111C2×C22⋊Dic53C2×C411yescharacteristic
112C2×C4×Dic53—41no—
113C2×C4×Dic53—41no—
114C2×C4×Dic53C2×C411yescharacteristic
115C2×C4×Dic53C2×C411yescharacteristic
116C2×C4×Dic53C2311yescharacteristic
117C2×C4×Dic53C2311yescharacteristic
118C2×C4×Dic53C2311yescharacteristic
119C2×C4×Dic53C2311yescharacteristic
120C2×C4×Dic53C2311yescharacteristic
121#13133124C2×C411yescharacteristic
122#13133124C2×C411yescharacteristic
123#13133124C2×C411yescharacteristic
124#13133124C2×C411yescharacteristic
125#13133124C2×C411yescharacteristic
126#13133124C2×C411yescharacteristic
127#13133124C2×C411yescharacteristic
128#13133124C2×C411yescharacteristic
129C22×D4×C53C2×C411yescharacteristic
130C23×C4×C53C2×C411yescharacteristic
131C2×C22⋊C4×C53C2×C411yescharacteristic
132C2×C22⋊C4×C53C2×C411yescharacteristic
133C2×C22⋊C4×C53C2×C411yescharacteristic
134#95×C53C2×C411yescharacteristic
135#95×C53C2×C411yescharacteristic
136C24×C53C22×C411yescharacteristic
137C24×C53C22×C411yescharacteristic
138C2×D4×C53—22no—
139C2×D4×C53—22no—
140C2×D4×C53C4214yes—
141C22×C4×C53—22no—
142C22×C4×C53—41no—
143C22×C4×C53—41no—
144C22×C4×C53C22×C411yescharacteristic
145C22×C4×C53C22×C411yescharacteristic
146C22×C4×C53C22×C411yescharacteristic
147C22×C4×C53C22×C411yescharacteristic
148C22×C4×C53C22×C411yescharacteristic
149C22×Dic53—21no—
150C22×Dic53—21no—
151C22×Dic53—21no—
152C22×Dic53—21no—
153C22×Dic53—21no—
154C22×Dic53—21no—
155C22×Dic53—21no—
156C22×Dic53—21no—
157C22×Dic53—22no—
158C22×Dic53—41no—
159C22×Dic53—41no—
160C22×Dic53C22×C411yescharacteristic
161C22×Dic53C22×C411yescharacteristic
162C22×Dic53C22×C411yescharacteristic
163C22×Dic53C22×C411yescharacteristic
164C22×Dic53C22×C411yescharacteristic
165C22×Dic53C22×C411yescharacteristic
166C22×Dic53C22×C411yescharacteristic
167C22×Dic53C22×C412yes—
168C22×Dic53C22×C412yes—
169C22×Dic53C22×C412yes—
170C22×Dic53C22×C412yes—
171C22×Dic53C2411yescharacteristic
172#11719940—44no—
173C2×#88324—21no—
174C2×#88324—21no—
175C2×#88324—21no—
176C2×#88324—21no—
177C2×#88324—21no—
178C2×#88324—21no—
179C2×#88324—21no—
180C2×#88324—21no—
181C2×#88324—21no—
182C2×#88324—21no—
183C2×#88324—21no—
184C2×#88324—21no—
185C2×#88324—21no—
186C2×#88324—21no—
187C2×#88324—21no—
188C2×#88324—21no—
189C2×#88324—44no—
190C2×#88324—44no—
191C2×#88324—44no—
192C2×#88324C22×C412yes—
193C2×#88324C22×C412yes—
194C2×#88324C22×C412yes—
195C2×#88324C22×C412yes—
196C2×#88324C22×C412yes—
197C2×#88324C22×C412yes—
198C2×#88324C22×C412yes—
199C2×#88324C22×C412yes—
200C22⋊C4×C53—22no—
201C22⋊C4×C53—41no—
202C22⋊C4×C53—41no—
203C22⋊Dic53—22no—
204C22⋊Dic53—41no—
205C22⋊Dic53—41no—
206C22⋊Dic53C4214yes—
207C22⋊Dic53C4214yes—
208C4⋊Dic53C4214yes—
209#11719919—41no—
210#11719919—41no—
211#11719919—41no—
212#11719919—41no—
213C4×Dic53—21no—
214C4×Dic53—21no—
215C4×Dic53—21no—
216C4×Dic53—21no—
217C4×Dic53—21no—
218C4×Dic53—21no—
219C4×Dic53—21no—
220C4×Dic53—21no—
221C4×Dic53—41no—
222C4×Dic53—41no—
223C4×Dic53C22×C412yes—
224C4×Dic53C22×C412yes—
225C23×C53—21no—
226C23×C53—21no—
227C23×C53—21no—
228C23×C53—21no—
229C23×C53—21no—
230C23×C53—21no—
231C23×C53—21no—
232C23×C53—21no—
233C23×C53—21no—
234C23×C53—21no—
235C23×C53C2×C4212yes—
236C23×C53C2×C4212yes—
237C23×C53#13112yes—
238C23×C53#13112yes—
239C23×C53C23×C411yescharacteristic
240D4×C53—28no—
241C2×C4×C53—21no—
242C2×C4×C53—21no—
243C2×C4×C53—21no—
244C2×C4×C53—21no—
245C2×C4×C53—21no—
246C2×C4×C53—21no—
247C2×C4×C53—21no—
248C2×C4×C53—21no—
249C2×C4×C53—21no—
250C2×C4×C53—21no—
251C2×C4×C53—21no—
252C2×C4×C53—21no—
253C2×C4×C53—21no—
254C2×C4×C53—21no—
255C2×C4×C53—44no—
256C2×C4×C53C2×C4212yes—
257C2×Dic53—21no—
258C2×Dic53—21no—
259C2×Dic53—21no—
260C2×Dic53—21no—
261C2×Dic53—21no—
262C2×Dic53—21no—
263C2×Dic53—22no—
264C2×Dic53—22no—
265C2×Dic53—22no—
266C2×Dic53—22no—
267C2×Dic53—22no—
268C2×Dic53—22no—
269C2×Dic53—22no—
270C2×Dic53—22no—
271C2×Dic53—21no—
272C2×Dic53—21no—
273C2×Dic53—21no—
274C2×Dic53—21no—
275C2×Dic53—21no—
276C2×Dic53—21no—
277C2×Dic53—21no—
278C2×Dic53—21no—
279C2×Dic53—21no—
280C2×Dic53—21no—
281C2×Dic53—21no—
282C2×Dic53—21no—
283C2×Dic53—44no—
284C2×Dic53C2×C4212yes—
285C2×Dic53C2×C4212yes—
286C2×Dic53C2×C4212yes—
287C2×Dic53C23×C411yescharacteristic
288C2×Dic53C23×C411yescharacteristic
289C2×Dic53H(5,𝔽2)11yescharacteristic
290C2×Dic53H(5,𝔽2)11yescharacteristic
291C2×Dic53H(5,𝔽2)11yescharacteristic
292C2×Dic532−1+411yescharacteristic
293#88324—22no—
294#88324—22no—
295#88324—22no—
296#88324—22no—
297#88324—22no—
298#88324—22no—
299#88324—22no—
300#88324—22no—
301#20560—531nomaximal, Sylow
302C22×C53—22no—
303C22×C53—22no—
304C22×C53—22no—
305C22×C53—22no—
306C22×C53—22no—
307C22×C53—22no—
308C22×C53—22no—
309C22×C53—22no—
310C22×C53—22no—
311C22×C53—41no—
312C22×C53—41no—
313C22×C53—41no—
314C22×C53—41no—
315C22×C53#40514yes—
316C22×C53C22×C4211yescharacteristic
317C22×C53#51811yescharacteristic
318C22×C53#52011yescharacteristic
319C22×C53C2×#13111yescharacteristic
320C22×C53C2×#13111yescharacteristic
321C22×C53#56811yescharacteristic
322C22×C53#56811yescharacteristic
323C4×C53—22no—
324C4×C53—41no—
325C4×C53—41no—
326C4×C53—41no—
327C4×C53—41no—
328Dic53—22no—
329Dic53—22no—
330Dic53—22no—
331Dic53—41no—
332Dic53—41no—
333Dic53—41no—
334Dic53—41no—
335Dic53#51811yescharacteristic
336Dic53#51811yescharacteristic
337Dic53#52011yescharacteristic
338Dic53#52011yescharacteristic
339C2×#435—531no—
340C2×C8×D4—531no—
341#2290—531no—
342#1771—531no—
343#1770—531no—
344#1768—531no—
345#1753—531no—
346#1752—531no—
347#1752—531no—
348C8×C22⋊C4—531no—
349#1750—531no—
350#1749—531no—
351#1746—531no—
352#1729—531no—
353C2×#336—531no—
354C2×C53—24no—
355C2×C53—42no—
356C2×C53#227511yescharacteristic
357C2×C53C2×#40511yescharacteristic
358C2×C53#287511yescharacteristic
359C2×C53#297611yescharacteristic
360C2×C53#297611yescharacteristic
361C2×C53#299211yescharacteristic
362C2×C53#299211yescharacteristic
363C22×M16—531no—
364C23×C8—531no—
365C23×C8—531no—
366C23×C8—531no—
367C2×C4×D4—531no—
368C2×#117—531no—
369C22×C42—531no—
370#435—538no—
371C8×D4—538no—
372C2×C4⋊C8—531no—
373C2×C4⋊C8—531no—
374C2×C22⋊C8—531no—
375C2×C22⋊C8—531no—
376C2×C22⋊C8—531no—
377C2×C22⋊C8—531no—
378C2×#97—531no—
379C2×#97—531no—
380C2×#97—531no—
381C2×#97—531no—
382C2×#97—531no—
383C2×C4×C8—531no—
384C2×C4×C8—531no—
385C2×C4×C8—531no—
386#388—531no—
387#388—531no—
388#387—531no—
389#387—531no—
390#386—531no—
391#386#615711yescharacteristic
392#385—531no—
393#385—531no—
394C4×C4⋊C4—531no—
395C4×C22⋊C4—531no—
396C4×C22⋊C4—531no—
397#376—531no—
398#336—531no—
399#336—531no—
400#336—531no—
401#336—531no—
402#336—531no—
403#336—531no—
404#336—531no—
405#336—531no—
406#336—531no—
407#336—531no—
408C53#2056011yescharacteristic, complemented, Sylow
409C22×D4C2×#615711yescharacteristic
410C23×C4—531no—
411C23×C4—531no—
412C23×C4—531no—
413C23×C4C2×#615711yescharacteristic
414C2×M16—534no—
415C2×M16—2121no—
416C2×M16—2121no—
417C22×C8—531no—
418C22×C8—531no—
419C22×C8—531no—
420C22×C8—531no—
421C22×C8—531no—
422C22×C8—531no—
423C22×C8—531no—
424C22×C8—531no—
425C22×C8—534no—
426C22×C8—534no—
427C22×C8—534no—
428C22×C8—2121no—
429C22×C8—2121no—
430C22×C8—2121no—
431C22×C8—2121no—
432C22×C8—2121no—
433C22×C8—2121no—
434C4×D4—534no—
435C4×D4—534no—
436#117—2121no—
437#117—2121no—
438C2×C4⋊C4—531no—
439C2×C4⋊C4—531no—
440C2×C4⋊C4—531no—
441C2×C4⋊C4—531no—
442C2×C4⋊C4—531no—
443C2×C22⋊C4—531no—
444C2×C22⋊C4—531no—
445C2×C22⋊C4—531no—
446C2×C22⋊C4—531no—
447C2×C22⋊C4—531no—
448C2×C22⋊C4C2×#615711yescharacteristic
449C2×C22⋊C4C2×#615711yescharacteristic
450C2×C22⋊C4C2×#615711yescharacteristic
451C2×C42—531no—
452C2×C42—531no—
453C2×C42—531no—
454C2×C42—531no—
455C2×C42—531no—
456C2×C42—531no—
457C2×C42—531no—
458C2×C42—2121no—
459C2×C42—2121no—
460C4⋊C8—534no—
461C4⋊C8—534no—
462C22⋊C8—534no—
463C22⋊C8—534no—
464C22⋊C8—534no—
465C22⋊C8—534no—
466#97—534no—
467#97—2121no—
468#97—2121no—
469#97—2121no—
470#97—2121no—
471C4×C8—534no—
472C4×C8—2121no—
473C4×C8—2121no—
474#95—531no—
475#95—531no—
476#95—531no—
477#95—531no—
478#95—531no—
479#95—531no—
480#95—531no—
481#95—531no—
482#95C2×#615711yescharacteristic
483#95C2×#615711yescharacteristic
484C24C22×#615711yescharacteristic
485C24C22×#615711yescharacteristic
486C2×D4—22no—
487C2×D4—22no—
488C2×D4C4×#615714yes—
489C22×C4—22no—
490C22×C4—41no—
491C22×C4—41no—
492C22×C4—531no—
493C22×C4—532no—
494C22×C4—532no—
495C22×C4—532no—
496C22×C4—532no—
497C22×C4—531no—
498C22×C4—531no—
499C22×C4—531no—
500C22×C4—531no—
501C22×C4—531no—
502C22×C4—531no—
503C22×C4—531no—
504C22×C4—1061no—
505C22×C4—1061no—
506C22×C4—1061no—
507C22×C4—1061no—
508C22×C4—1061no—
509C22×C4—1061no—
510C22×C4—1061no—
511C22×C4—1061no—
512C22×C4—1062no—
513C22×C4—2121no—
514C22×C4—2121no—
515C22×C4C22×#615711yescharacteristic
516C22×C4C22×#615711yescharacteristic
517C22×C4C22×#615711yescharacteristic
518C22×C4C22×#615711yescharacteristic
519C22×C4C22×#615711yescharacteristic
520M16—2124no—
521C2×C8—532no—
522C2×C8—532no—
523C2×C8—532no—
524C2×C8—532no—
525C2×C8—532no—
526C2×C8—532no—
527C2×C8—532no—
528C2×C8—532no—
529C2×C8—1061no—
530C2×C8—1061no—
531C2×C8—1061no—
532C2×C8—1061no—
533C2×C8—1061no—
534C2×C8—1061no—
535C2×C8—1061no—
536C2×C8—1061no—
537C2×C8—1061no—
538C2×C8—1061no—
539C2×C8—1061no—
540C2×C8—1061no—
541C2×C8—1061no—
542C2×C8—1061no—
543C2×C8—1061no—
544C2×C8—1061no—
545C2×C8—2124no—
546C2×C8—2124no—
547C2×C8—2124no—
548C4⋊C4—534no—
549C4⋊C4—2121no—
550C4⋊C4—2121no—
551C4⋊C4—2121no—
552C4⋊C4—2121no—
553C22⋊C4—22no—
554C22⋊C4—41no—
555C22⋊C4—41no—
556C22⋊C4—534no—
557C22⋊C4—534no—
558C22⋊C4—1062no—
559C22⋊C4—2121no—
560C22⋊C4—2121no—
561C42—532no—
562C42—532no—
563C42—1061no—
564C42—1061no—
565C42—1061no—
566C42—1061no—
567C42—1061no—
568C42—1061no—
569C42—1061no—
570C42—1061no—
571C42—2121no—
572C42—2121no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23C2×C4×#615712yes—
584C23C2×C4×#615712yes—
585C23#1313330412yes—
586C23#1313330412yes—
587C23C23×#615711yescharacteristic
588D4—28no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—44no—
604C2×C4—531no—
605C2×C4—531no—
606C2×C4—531no—
607C2×C4—531no—
608C2×C4—531no—
609C2×C4—531no—
610C2×C4—532no—
611C2×C4—532no—
612C2×C4—532no—
613C2×C4—1062no—
614C2×C4—1062no—
615C2×C4—1062no—
616C2×C4—1062no—
617C2×C4—1062no—
618C2×C4—1062no—
619C2×C4—1062no—
620C2×C4—1062no—
621C2×C4—1061no—
622C2×C4—1061no—
623C2×C4—1061no—
624C2×C4—1061no—
625C2×C4—1061no—
626C2×C4—1061no—
627C2×C4—1061no—
628C2×C4—1061no—
629C2×C4—1061no—
630C2×C4—1061no—
631C2×C4—1061no—
632C2×C4—1061no—
633C2×C4—1061no—
634C2×C4—1061no—
635C2×C4—1061no—
636C2×C4—1061no—
637C2×C4—1061no—
638C2×C4—1061no—
639C2×C4—2124no—
640C2×C4C2×C4×#615712yes—
641C8—1062no—
642C8—1062no—
643C8—1062no—
644C8—1062no—
645C8—1062no—
646C8—1062no—
647C8—1062no—
648C8—1062no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—22no—
656C22—22no—
657C22—22no—
658C22—41no—
659C22—41no—
660C22—41no—
661C22—41no—
662C22#1681158714yes—
663C22C22×C4×#615711yescharacteristic
664C22#1681169011yescharacteristic
665C22#1681169211yescharacteristic
666C22C2×#1313330411yescharacteristic
667C22C2×#1313330411yescharacteristic
668C22#1681170111yescharacteristic
669C22#1681170211yescharacteristic
670C4—22no—
671C4—41no—
672C4—41no—
673C4—41no—
674C4—41no—
675C4—531no—
676C4—531no—
677C4—531no—
678C4—531no—
679C4—1062no—
680C4—1062no—
681C4—1062no—
682C4—2121no—
683C4—2121no—
684C4—2121no—
685C4—2121no—
686C2—24no—
687C2—42no—
688C2#2029115411yescharacteristic
689C2C2×#1681158711yescharacteristic
690C2#2029128611yescharacteristic
691C2#2029158111yescharacteristic
692C2#2029158211yescharacteristic
693C2#2029165011yescharacteristic
694C2#2029165111yescharacteristic
subgroupG/H
center, FrattiniC23C23×#6157
commutatorC22×C53C22×C42
FittingC53×#386C4
socleC23×C53C23×C4
prime radicalC22×D4×C53C2×C4
cosocleC22×Dic53C24
hypercenter#386#6157
hypocenterC53#20560
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C23 ◁ #386

Complements

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

NH ≅ G/Ntype
3. #20290514C2semidirect
4. #20290510C2semidirect
5. #20290503C2semidirect
6. #20290457C2semidirect
7. #20290452C2semidirect
8. #20290452C2semidirect
9. C22⋊C4×#88324C2semidirect
10. #20290445C2semidirect
11. #20290441C2semidirect
12. #20290434C2semidirect
13. #20290381C2semidirect
14. C2×#16811489C2semidirect
20. #16811654C4semidirect
21. D4×#88324C4semidirect
63. C2×#11719940C2×C4semidirect
72. C22×#88324C2×C4semidirect
81. #13133284C2×C4semidirect
82. C4⋊#88324C2×C4semidirect
85. C22⋊#88324C2×C4semidirect
86. C22⋊#88324C2×C4semidirect
91. #13133272C2×C4semidirect
94. C4×#88324C2×C4semidirect
408. C53#20560semidirect

Maximal subgroups

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

subgroupindex
C2×#168116542
C2×D4×#883242
#202905142
#202905102
#202905032
#202904572
#202904522
C22⋊C4×#883242
#202904452
#202904412
#202904342
#202903812
C2×#168114892
#202771552
#2056053