Finite Group Databasebeta

← #28318554

Subgroups — #28318554

Order 13568.

1122 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811655C211yesmaximal, characteristic
2C2×#16811652C211yesmaximal, characteristic
3C2×#16811588C211yesmaximal, characteristic, complemented
4C2×#16811587C211yesmaximal, characteristic, complemented
5#20290514C211yesmaximal, characteristic, complemented
6#20290514C211yesmaximal, characteristic, complemented
7C4×C4⋊#88324C211yesmaximal, characteristic, complemented
8#20290457C211yesmaximal, characteristic, complemented
9#20290456C211yesmaximal, characteristic, complemented
10#20290449C211yesmaximal, characteristic, complemented
11C22⋊C4×#88324C211yesmaximal, characteristic, complemented
12#20290445C211yesmaximal, characteristic, complemented
13#20290444C211yesmaximal, characteristic, complemented
14C4×#13133272C211yesmaximal, characteristic, complemented
15#20277175C211yesmaximal, characteristic
16C22×#11719936C2211yescharacteristic
17C22×#11719940C2211yescharacteristic
18C22×D53⋊C8C2211yescharacteristic
19C23×#88324C2211yescharacteristic
20#16811655C418yescomplemented
21#16811652C418yescomplemented
22C2×C4⋊#88324C2211yescharacteristic
23C2×C4⋊#88324C2211yescharacteristic
24C2×#13133274C2211yescharacteristic
25C2×#13133274C2211yescharacteristic
26C2×C22⋊#88324C2211yescharacteristic
27C2×C22⋊#88324C2211yescharacteristic
28#16811588—24no—
29#16811587—24no—
30C2×#13133272C2211yescharacteristic
31C2×#13133272C2211yescharacteristic
32C2×#13133272C2211yescharacteristic
33C2×#13133272C2211yescharacteristic
34C2×#13133272C2211yescharacteristic
35C2×#13133272C2211yescharacteristic
36C2×C4×#88324C2211yescharacteristic
37C2×C4×#88324C2211yescharacteristic
38C2×C4×#88324C2211yescharacteristic
39C2×C4×#88324C2211yescharacteristic
40C2×C4×#88324C2211yescharacteristic
41C2×C4×#88324C2211yescharacteristic
42#16811489C2211yescharacteristic
43#16811489C2211yescharacteristic
44#16811489C2211yescharacteristic
45#16811489C2211yescharacteristic
46#16811489C2211yescharacteristic
47#16811489C2211yescharacteristic
48C2×#13133177C2211yescharacteristic
49C2×#13133175C2211yescharacteristic
50C2×#13133173C2211yescharacteristic
51#16810523C411yescharacteristic
52#16810523C411yescharacteristic
53#16810520C411yescharacteristic
54#16810518C411yescharacteristic
55#16810516C411yescharacteristic
56#16810514C411yescharacteristic
57#16810512C411yescharacteristic
58#16810474C2211yescharacteristic
59C22⋊C4×Dic53C2211yescharacteristic
60#16810470C2211yescharacteristic
61C42×Dic53C2211yescharacteristic
62C53×#388C411yescharacteristic
63C2×#11719936—22no—
64C2×#11719936—22no—
65C2×#11719936C2×C414yes—
66C2×#11719940—22no—
67C2×#11719940—22no—
68C2×#11719940C2×C414yes—
69C2×D53⋊C8—22no—
70C2×D53⋊C8—22no—
71C2×D53⋊C8C2×C414yes—
72C22×#88324—22no—
73C22×#88324—22no—
74C22×#88324C2×C414yes—
75C22×#88324C2311yescharacteristic
76C22×#88324C2311yescharacteristic
77C22×#88324C2311yescharacteristic
78C22×#88324C2311yescharacteristic
79C22×#88324C2311yescharacteristic
80C22×#88324C2311yescharacteristic
81C22×#88324C2311yescharacteristic
82C22×#88324C2311yescharacteristic
83C4⋊#88324C2×C414yes—
84C4⋊#88324C2×C414yes—
85#13133274C2×C414yes—
86#13133274C2×C414yes—
87C22⋊#88324C2×C414yes—
88C22⋊#88324C2×C414yes—
89#13133272—22no—
90#13133272—22no—
91#13133272—22no—
92#13133272C2×C414yes—
93#13133272C2×C414yes—
94#13133272D414yescomplemented
95C4×#88324—22no—
96C4×#88324—22no—
97C4×#88324—22no—
98C4×#88324—22no—
99C4×#88324—22no—
100C4×#88324—22no—
101C22×C22⋊D53C2×C411yescharacteristic
102C23×Dic53C2311yescharacteristic
103C22×C4×D53C2311yescharacteristic
104#13133177C2×C414yes—
105#13133177C2×C414yes—
106#13133175—22no—
107#13133175—22no—
108#13133173—22no—
109#13133173—22no—
110C2×C4⋊Dic53C2×C411yescharacteristic
111C2×#11719919C2×C411yescharacteristic
112C2×#11719919C2×C411yescharacteristic
113C2×#11719919C2×C411yescharacteristic
114C2×#11719919C2×C411yescharacteristic
115C2×#11719919C2×C411yescharacteristic
116C2×C22⋊Dic53C2×C411yescharacteristic
117C2×C22⋊Dic53C2×C411yescharacteristic
118C2×#11719921C2×C411yescharacteristic
119C2×#11719921C2×C411yescharacteristic
120C2×#11719921C2×C411yescharacteristic
121C2×#11719921C2×C411yescharacteristic
122C2×#11719921C2×C411yescharacteristic
123C2×C4×Dic53C2×C411yescharacteristic
124C2×C4×Dic53C2×C411yescharacteristic
125C2×C4×Dic53C2×C411yescharacteristic
126C2×C4×Dic53C2311yescharacteristic
127C2×C4×Dic53C2311yescharacteristic
128C2×C4×Dic53C2311yescharacteristic
129C2×C4×Dic53C2311yescharacteristic
130C2×C4×Dic53C2311yescharacteristic
131#13133124C2×C411yescharacteristic
132#13133124C2×C411yescharacteristic
133#13133124C2×C411yescharacteristic
134#13133124C2×C411yescharacteristic
135C2×C4⋊C4×C53C2×C411yescharacteristic
136C2×C22⋊C4×C53C2×C411yescharacteristic
137C2×C22⋊C4×C53C2×C411yescharacteristic
138C2×C22⋊C4×C53C2×C411yescharacteristic
139C2×C42×C53C2×C411yescharacteristic
140#95×C53C2×C411yescharacteristic
141#95×C53C2×C411yescharacteristic
142C24×C53C22×C411yescharacteristic
143C23×D53C22×C411yescharacteristic
144C22×C4×C53C22×C411yescharacteristic
145C22×C4×C53C22×C411yescharacteristic
146C22×C4×C53C22×C411yescharacteristic
147C22×C4×C53C22×C411yescharacteristic
148C22×C4×C53C22×C411yescharacteristic
149C22×C4×C53C22×C411yescharacteristic
150C2×C22⋊D53—41no—
151C2×C22⋊D53—41no—
152C2×C22⋊D53C4214yes—
153C22×Dic53—21no—
154C22×Dic53—21no—
155C22×Dic53—21no—
156C22×Dic53—21no—
157C22×Dic53C22×C411yescharacteristic
158C22×Dic53C22×C411yescharacteristic
159C22×Dic53C22×C411yescharacteristic
160C22×Dic53C22×C411yescharacteristic
161C22×Dic53C22×C412yes—
162C22×Dic53C22×C412yes—
163C22×Dic53C22×C411yescharacteristic
164C22×Dic53C22×C411yescharacteristic
165C22×Dic53C2411yescharacteristic
166C2×C4×D53—21no—
167C2×C4×D53—21no—
168C2×C4×D53—21no—
169C2×C4×D53—21no—
170C2×C4×D53C22×C412yes—
171C2×C4×D53C22×C412yes—
172#11719940—28no—
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—28no—
186C2×#88324C22×C412yes—
187C2×#88324C22×C412yes—
188C2×#88324C22×C412yes—
189C2×#88324C22×C412yes—
190C2×#88324C22×C412yes—
191C2×#88324C22×C412yes—
192C2×#88324C22×C412yes—
193C2×#88324C22×C412yes—
194C2×#88324C2×D412yes—
195C2×#88324C2×D412yes—
196C2×#88324#4112yes—
197C2×#88324#4112yes—
198#11719936—28no—
199D53⋊C8—28no—
200C4⋊C4×C53—22no—
201C22⋊C4×C53—22no—
202C22⋊C4×C53—22no—
203C22⋊C4×C53C4214yes—
204C42×C53—22no—
205C22⋊Dic53—22no—
206C22⋊Dic53—22no—
207#11719921—22no—
208#11719921—22no—
209#11719921—22no—
210#11719921—22no—
211#11719921C4214yes—
212C4⋊Dic53—22no—
213#11719919—22no—
214#11719919—22no—
215#11719919—41no—
216#11719919—41no—
217#11719919C4214yes—
218C4×Dic53—22no—
219C4×Dic53—21no—
220C4×Dic53—21no—
221C4×Dic53—21no—
222C4×Dic53—21no—
223C4×Dic53—21no—
224C4×Dic53—21no—
225C4×Dic53—41no—
226C4×Dic53—41no—
227C4×Dic53C22×C412yes—
228C4×Dic53C22×C412yes—
229C4×Dic53C2×D412yes—
230C4×Dic53#4112yes—
231C23×C53—21no—
232C23×C53—21no—
233C23×C53—21no—
234C23×C53—21no—
235C23×C53—21no—
236C23×C53—21no—
237C23×C53C2×C4212yes—
238C23×C53C23×C411yescharacteristic
239C22×D53—21no—
240C22×D53—21no—
241C22×D53—21no—
242C22×D53—21no—
243C22×D53—21no—
244C22×D53—21no—
245C22×D53C2×C4212yes—
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—21no—
256C2×C4×C53—21no—
257C2×C4×C53—21no—
258C2×C4×C53—21no—
259C2×C4×C53—21no—
260C2×C4×C53C2×C4212yes—
261C2×C4×C53C2×C4212yes—
262C2×C4×C53C4×D412yes—
263C2×C4×C53#13112yes—
264C22⋊D53—44no—
265C2×Dic53—21no—
266C2×Dic53—21no—
267C2×Dic53—21no—
268C2×Dic53—21no—
269C2×Dic53—21no—
270C2×Dic53—21no—
271C2×Dic53—21no—
272C2×Dic53—21no—
273C2×Dic53—22no—
274C2×Dic53—22no—
275C2×Dic53—22no—
276C2×Dic53—22no—
277C2×Dic53—21no—
278C2×Dic53—21no—
279C2×Dic53—21no—
280C2×Dic53—21no—
281C2×Dic53—21no—
282C2×Dic53—21no—
283C2×Dic53C2×C4212yes—
284C2×Dic53C2×C4212yes—
285C2×Dic53C4×D412yes—
286C2×Dic53#13112yes—
287C2×Dic53C23×C411yescharacteristic
288C2×Dic53C23×C411yescharacteristic
289C2×Dic53C22×D411yescharacteristic
290C2×Dic53C2×#4111yescharacteristic
291C2×Dic53C2×#4111yescharacteristic
292C2×Dic53C2×#4111yescharacteristic
293C4×D53—22no—
294C4×D53—22no—
295C4×D53—22no—
296C4×D53—22no—
297#88324—22no—
298#88324—22no—
299#88324—22no—
300#88324—22no—
301#88324—22no—
302#88324—22no—
303#88324C4×D414yes—
304#88324C4×D414yes—
305#20492—531nomaximal, Sylow
306C22×C53—22no—
307C22×C53—22no—
308C22×C53—22no—
309C22×C53—41no—
310C22×C53—41no—
311C22×C53—41no—
312C22×C53—41no—
313C22×C53C22×C4211yescharacteristic
314C22×C53C2×C4×D411yescharacteristic
315C22×C53C4×#4111yescharacteristic
316C22×C53C2×#13111yescharacteristic
317C22×C53C2×#13111yescharacteristic
318C22×C53#56811yescharacteristic
319C22×C53#56811yescharacteristic
320C2×D53—22no—
321C2×D53—22no—
322C2×D53—22no—
323C2×D53—41no—
324C2×D53—41no—
325C2×D53—41no—
326C2×D53—41no—
327C4×C53—22no—
328C4×C53—22no—
329C4×C53—22no—
330C4×C53—22no—
331C4×C53—41no—
332C4×C53—41no—
333Dic53—22no—
334Dic53—22no—
335Dic53—22no—
336Dic53—22no—
337Dic53—41no—
338Dic53—41no—
339Dic53C2×C4×D411yescharacteristic
340Dic53C2×C4×D411yescharacteristic
341Dic53C4×#4111yescharacteristic
342Dic53C4×#4111yescharacteristic
343C2×#435—531no—
344C2×#435—531no—
345C2×#405—531no—
346C2×#405—531no—
347#2293—531no—
348#1771—531no—
349#1771—531no—
350C4×C4⋊C8—531no—
351#1753—531no—
352#1753—531no—
353C8×C22⋊C4—531no—
354C8×C22⋊C4—531no—
355#1750—531no—
356#1750—531no—
357C4×#97—531no—
358C2×C53—42no—
359C2×C53C42×D411yescharacteristic
360C2×C53#287311yescharacteristic
361C2×C53C4×#13111yescharacteristic
362C2×C53#293511yescharacteristic
363C2×C53#293511yescharacteristic
364C2×C53#296811yescharacteristic
365C2×C53#296811yescharacteristic
366D53—42no—
367C22×M16—531no—
368C22×M16—531no—
369C23×C8—531no—
370C23×C8—531no—
371C2×C4×D4—531no—
372C2×#117—531no—
373C2×#117—531no—
374#435—538no—
375#435—538no—
376C2×C4⋊C8—531no—
377C2×C4⋊C8—531no—
378C2×C22⋊C8—531no—
379C2×C22⋊C8—531no—
380C2×C22⋊C8—531no—
381C2×C22⋊C8—531no—
382#405—1064no—
383#405—1064no—
384C2×#97—531no—
385C2×#97—531no—
386C2×#97—531no—
387C2×#97—531no—
388C2×#97—531no—
389C2×#97—531no—
390C2×C4×C8—531no—
391C2×C4×C8—531no—
392C2×C4×C8—531no—
393C2×C4×C8—531no—
394C2×C4×C8—531no—
395C2×C4×C8—531no—
396#390—531no—
397#390—531no—
398#389—531no—
399#389—531no—
400#388—531no—
401#388—531no—
402#388—531no—
403#388#615711yescharacteristic
404C4×C4⋊C4—531no—
405C4×C22⋊C4—531no—
406C4×C22⋊C4—531no—
407C43—531no—
408#336—531no—
409#336—531no—
410#336—531no—
411#336—531no—
412#336—531no—
413#336—531no—
414C53#2049211yescharacteristic, complemented, Sylow
415C22×D4—531no—
416C23×C4—531no—
417C23×C4—531no—
418C2×M16—534no—
419C2×M16—534no—
420C2×M16—1062no—
421C2×M16—1062no—
422C2×M16—1062no—
423C2×M16—1062no—
424C22×C8—531no—
425C22×C8—531no—
426C22×C8—531no—
427C22×C8—531no—
428C22×C8—534no—
429C22×C8—534no—
430C22×C8—531no—
431C22×C8—531no—
432C22×C8—531no—
433C22×C8—531no—
434C22×C8—1062no—
435C22×C8—1062no—
436C22×C8—1062no—
437C22×C8—1062no—
438C4×D4—534no—
439C4×D4—534no—
440#117—1062no—
441#117—1062no—
442#117—1062no—
443#117—1062no—
444C2×C4⋊C4—531no—
445C2×C4⋊C4—531no—
446C2×C4⋊C4—531no—
447C2×C4⋊C4—531no—
448C2×C4⋊C4—531no—
449C2×C4⋊C4—531no—
450C2×C4⋊C4C2×#615711yescharacteristic
451C2×C22⋊C4—531no—
452C2×C22⋊C4—531no—
453C2×C22⋊C4—531no—
454C2×C22⋊C4—531no—
455C2×C22⋊C4—531no—
456C2×C22⋊C4—531no—
457C2×C22⋊C4—531no—
458C2×C22⋊C4C2×#615711yescharacteristic
459C2×C22⋊C4C2×#615711yescharacteristic
460C2×C22⋊C4C2×#615711yescharacteristic
461C2×C42—531no—
462C2×C42—531no—
463C2×C42—531no—
464C2×C42—531no—
465C2×C42—531no—
466C2×C42—531no—
467C2×C42—531no—
468C2×C42—531no—
469C2×C42C2×#615711yescharacteristic
470C4⋊C8—534no—
471C4⋊C8—534no—
472C22⋊C8—534no—
473C22⋊C8—534no—
474C22⋊C8—534no—
475C22⋊C8—534no—
476#97—534no—
477#97—534no—
478#97—534no—
479#97—1062no—
480#97—1062no—
481#97—1062no—
482C4×C8—1062no—
483C4×C8—1062no—
484C4×C8—1062no—
485C4×C8—1062no—
486C4×C8—1062no—
487C4×C8—1062no—
488#95—531no—
489#95—531no—
490#95—531no—
491#95—531no—
492#95C2×#615711yescharacteristic
493#95C2×#615711yescharacteristic
494C24—531no—
495C24C22×#615711yescharacteristic
496C2×D4—534no—
497C2×D4—2121no—
498C2×D4—2121no—
499C22×C4—531no—
500C22×C4—532no—
501C22×C4—532no—
502C22×C4—531no—
503C22×C4—531no—
504C22×C4—531no—
505C22×C4—531no—
506C22×C4—532no—
507C22×C4—532no—
508C22×C4—531no—
509C22×C4—531no—
510C22×C4—1061no—
511C22×C4—1061no—
512C22×C4—1061no—
513C22×C4—1061no—
514C22×C4—1061no—
515C22×C4—1061no—
516C22×C4—1061no—
517C22×C4—1061no—
518C22×C4C22×#615711yescharacteristic
519C22×C4C22×#615711yescharacteristic
520C22×C4C22×#615711yescharacteristic
521C22×C4C22×#615711yescharacteristic
522C22×C4C22×#615711yescharacteristic
523C22×C4C22×#615711yescharacteristic
524M16—1068no—
525M16—1068no—
526C2×C8—532no—
527C2×C8—532no—
528C2×C8—532no—
529C2×C8—532no—
530C2×C8—532no—
531C2×C8—532no—
532C2×C8—532no—
533C2×C8—532no—
534C2×C8—532no—
535C2×C8—532no—
536C2×C8—532no—
537C2×C8—532no—
538C2×C8—1068no—
539C2×C8—1068no—
540C2×C8—1061no—
541C2×C8—1061no—
542C2×C8—1061no—
543C2×C8—1061no—
544C2×C8—1061no—
545C2×C8—1061no—
546C2×C8—1061no—
547C2×C8—1061no—
548C2×C8—1061no—
549C2×C8—1061no—
550C2×C8—1061no—
551C2×C8—1061no—
552C4⋊C4—22no—
553C4⋊C4—534no—
554C4⋊C4—1062no—
555C4⋊C4—1062no—
556C4⋊C4—1062no—
557C4⋊C4—2121no—
558C4⋊C4—2121no—
559C22⋊C4—22no—
560C22⋊C4—22no—
561C22⋊C4—534no—
562C22⋊C4—1062no—
563C22⋊C4—1062no—
564C22⋊C4—1062no—
565C22⋊C4—1062no—
566C22⋊C4—1062no—
567C22⋊C4—1062no—
568C22⋊C4C4×#615714yes—
569C42—22no—
570C42—532no—
571C42—532no—
572C42—532no—
573C42—532no—
574C42—1061no—
575C42—1061no—
576C42—1061no—
577C42—1061no—
578C42—1061no—
579C42—1061no—
580C42—1062no—
581C42—2121no—
582C42—2121no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—532no—
590C23—1061no—
591C23—1061no—
592C23—1061no—
593C23—1061no—
594C23—1061no—
595C23—1061no—
596C23C2×C4×#615712yes—
597C23C23×#615711yescharacteristic
598D4—2124no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—531no—
614C2×C4—531no—
615C2×C4—531no—
616C2×C4—531no—
617C2×C4—531no—
618C2×C4—531no—
619C2×C4—532no—
620C2×C4—532no—
621C2×C4—532no—
622C2×C4—532no—
623C2×C4—1062no—
624C2×C4—1062no—
625C2×C4—1062no—
626C2×C4—1062no—
627C2×C4—1062no—
628C2×C4—1062no—
629C2×C4—1062no—
630C2×C4—1062no—
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—1061no—
640C2×C4—1061no—
641C2×C4—1061no—
642C2×C4—1061no—
643C2×C4—1061no—
644C2×C4—1061no—
645C2×C4C2×C4×#615712yes—
646C2×C4C2×C4×#615712yes—
647C2×C4D4×#615712yes—
648C2×C4#1313330412yes—
649C8—534no—
650C8—534no—
651C8—1062no—
652C8—1062no—
653C8—1062no—
654C8—1062no—
655C8—1062no—
656C8—1062no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—41no—
661C22—41no—
662C22—41no—
663C22—41no—
664C22—1062no—
665C22—1062no—
666C22—1062no—
667C22—2121no—
668C22—2121no—
669C22—2121no—
670C22—2121no—
671C22C22×C4×#615711yescharacteristic
672C22C2×D4×#615711yescharacteristic
673C22#41×#615711yescharacteristic
674C22C2×#1313330411yescharacteristic
675C22D53⋊#13111yescharacteristic
676C22#1681170211yescharacteristic
677C22#1681170211yescharacteristic
678C4—22no—
679C4—22no—
680C4—22no—
681C4—22no—
682C4—41no—
683C4—41no—
684C4—531no—
685C4—531no—
686C4—531no—
687C4—531no—
688C4—1062no—
689C4—1062no—
690C4—1062no—
691C4—1062no—
692C4—2121no—
693C4—2121no—
694C2—42no—
695C2—2122no—
696C2C4×D4×#615711yescharacteristic
697C2#2029128011yescharacteristic
698C2C4×#1313330411yescharacteristic
699C2#2029145711yescharacteristic
700C2#2029146011yescharacteristic
701C2#2029154211yescharacteristic
702C2#2029154511yescharacteristic
subgroupG/H
center, FrattiniC23C23×#6157
commutatorC22×C53C22×C42
FittingC53×#388C4
socleC23×C53C23×C4
prime radicalC22×C22⋊D53C2×C4
cosocleC22×Dic53C24
hypercenter#388#6157
hypocenterC53#20492
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C23 ◁ #388

Complements

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

NH ≅ G/Ntype
3. C2×#16811588C2semidirect
4. C2×#16811587C2semidirect
5. #20290514C2semidirect
6. #20290514C2semidirect
7. C4×C4⋊#88324C2semidirect
8. #20290457C2semidirect
9. #20290456C2semidirect
10. #20290449C2semidirect
11. C22⋊C4×#88324C2semidirect
12. #20290445C2semidirect
13. #20290444C2semidirect
14. C4×#13133272C2semidirect
20. #16811655C4semidirect
21. #16811652C4semidirect
94. #13133272D4semidirect
414. C53#20492semidirect

Maximal subgroups

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

subgroupindex
C2×#168116552
C2×#168116522
C2×#168115882
C2×#168115872
#202905142
C4×C4⋊#883242
#202904572
#202904562
#202904492
C22⋊C4×#883242
#202904452
#202904442
C4×#131332722
#202771752
#2049253