Finite Group Databasebeta

← #27291055

Subgroups — #27291055

Order 13568.

1238 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
1C22×#13133139C211yesmaximal, characteristic
2C22×#13133137C211yesmaximal, characteristic
3C2×#16810524C211yesmaximal, characteristic
4C2×#16810488C211yesmaximal, characteristic, complemented
5C2×#16810385C211yesmaximal, characteristic, complemented
6C2×#16810377C211yesmaximal, characteristic, complemented
7C2×C53×#340C211yesmaximal, characteristic, complemented
8C23×D212C2211yescharacteristic
9C23×#88322C2211yescharacteristic
10C22×C4⋊Dic53C2211yescharacteristic
11C22×#11719921—22no—
12C22×C4×Dic53C2211yescharacteristic
13C2×#13133139—22no—
14C2×#13133139—22no—
15C2×#13133139—22no—
16C2×#13133137—22no—
17C2×#13133137—22no—
18C2×#13133137—22no—
19#16810524—22no—
20#16810524C414yescomplemented
21#16810488—22no—
22#16810488—22no—
23C2×#13133124—22no—
24#16810385—22no—
25#16810377—22no—
26C23×C8×C53C2211yescharacteristic
27C22×C4⋊C4×C53C2211yescharacteristic
28C22×C4⋊C4×C53C2211yescharacteristic
29C53×#340—22no—
30C24×D53—21no—
31C22×D212—21no—
32C22×D212—21no—
33C22×D212—21no—
34C22×D212—21no—
35C22×D212—21no—
36C22×D212—21no—
37C22×D212—21no—
38C22×D212—21no—
39C22×D212—21no—
40C22×D212—21no—
41C22×D212—21no—
42C22×D212C2×C412yes—
43C22×D212D412yes—
44C22×D212Q812yes—
45C23×Dic53—21no—
46C23×Dic53D412yes—
47C22×#88322—21no—
48C22×#88322—21no—
49C22×#88322—21no—
50C22×#88322—21no—
51C22×#88322—21no—
52C22×#88322—21no—
53C22×#88322D412yes—
54C2×C4⋊Dic53—21no—
55C2×C4⋊Dic53—21no—
56C2×C4⋊Dic53—21no—
57C2×C4⋊Dic53—21no—
58C2×C4⋊Dic53—21no—
59C2×C4⋊Dic53D412yes—
60C2×#11719921—28no—
61C2×#11719921—44no—
62C2×#11719921—44no—
63C2×C4×Dic53—21no—
64C2×C4×Dic53—21no—
65C2×C4×Dic53—21no—
66C2×C4×Dic53—21no—
67C2×C4×Dic53C2×C412yes—
68C2×C4×Dic53D412yes—
69#13133139—28no—
70#13133137—28no—
71#13133124—28no—
72C23×C4×C53—21no—
73C23×C4×C53—21no—
74C23×C4×C53C2311yescharacteristic
75C22×C8×C53—21no—
76C22×C8×C53—21no—
77C22×C8×C53—21no—
78C22×C8×C53—21no—
79C22×C8×C53—21no—
80C22×C8×C53—21no—
81C22×C8×C53D412yes—
82C2×C4⋊C4×C53—21no—
83C2×C4⋊C4×C53—21no—
84C2×C4⋊C4×C53—21no—
85C2×C4⋊C4×C53—21no—
86C2×C4⋊C4×C53—21no—
87C2×C4⋊C4×C53—21no—
88C2×C4⋊C4×C53—21no—
89C2×C4⋊C4×C53—21no—
90C2×C4⋊C4×C53—21no—
91C2×C4⋊C4×C53—21no—
92C2×C4⋊C4×C53C2×C412yes—
93C2×C4⋊C4×C53D412yes—
94C24×C53C2×D411yescharacteristic
95C23×D53—22no—
96C23×D53—22no—
97C23×D53—22no—
98C23×D53—41no—
99C23×D53—41no—
100C23×D53—41no—
101C23×D53—41no—
102C23×D53—42no—
103C23×D53—42no—
104C23×D53—42no—
105C23×D53—42no—
106C22×C4×C53—22no—
107C22×C4×C53—22no—
108C22×C4×C53—41no—
109C22×C4×C53—41no—
110C22×C4×C53—41no—
111C22×C4×C53—41no—
112C22×C4×C53—42no—
113C22×C4×C53—42no—
114C22×C4×C53—42no—
115C22×C4×C53—42no—
116C22×C4×C53C22×C411yescharacteristic
117C22×C4×C53C2×D411yescharacteristic
118C22×C4×C53C2×D411yescharacteristic
119C22×C4×C53C2×D411yescharacteristic
120C22×C4×C53C2×D411yescharacteristic
121C22×C4×C53C2×D411yescharacteristic
122C22×C4×C53C2×D411yescharacteristic
123C22×C4×C53C2×Q811yescharacteristic
124C22×C4×C53#4111yescharacteristic
125C22×C4×C53#4111yescharacteristic
126C22×C4×C53#4111yescharacteristic
127C22×C4×C53#4111yescharacteristic
128C22×C4×C53#4111yescharacteristic
129C22×C4×C53#4111yescharacteristic
130C22×Dic53—22no—
131C22×Dic53—22no—
132C22×Dic53—22no—
133C22×Dic53—22no—
134C22×Dic53—22no—
135C22×Dic53—22no—
136C22×Dic53—22no—
137C22×Dic53—41no—
138C22×Dic53—41no—
139C22×Dic53—42no—
140C22×Dic53—42no—
141C22×Dic53C22⋊C414yes—
142C2×D212—22no—
143C2×D212—22no—
144C2×D212—22no—
145C2×D212—22no—
146C2×D212—22no—
147C2×D212—22no—
148C2×D212—22no—
149C2×D212—22no—
150C2×D212—22no—
151C2×D212—22no—
152C2×D212—22no—
153C2×D212—22no—
154C2×D212—22no—
155C2×D212—22no—
156C2×D212—22no—
157C2×D212—41no—
158C2×D212—41no—
159C2×D212—41no—
160C2×D212—41no—
161C2×D212—41no—
162C2×D212—41no—
163C2×D212—41no—
164C2×D212—41no—
165C2×D212—41no—
166C2×D212—41no—
167C2×D212—41no—
168C2×D212—41no—
169C2×D212C4⋊C414yes—
170C2×C8×C53—22no—
171C2×C8×C53—22no—
172C2×C8×C53—22no—
173C2×C8×C53—41no—
174C2×C8×C53—41no—
175C2×C8×C53—41no—
176C2×C8×C53—41no—
177C4⋊C4×C53—22no—
178C4⋊C4×C53—22no—
179C4⋊C4×C53—22no—
180C4⋊C4×C53—22no—
181C4⋊C4×C53—41no—
182C4⋊C4×C53—41no—
183C4⋊C4×C53—41no—
184C4⋊C4×C53—41no—
185#11719921—416no—
186C4⋊Dic53—22no—
187C4⋊Dic53—22no—
188C4⋊Dic53—41no—
189C4⋊Dic53—41no—
190C4×Dic53—22no—
191C4×Dic53—22no—
192C4×Dic53—22no—
193C4×Dic53—22no—
194C2×#88322—22no—
195C2×#88322—22no—
196C2×#88322—22no—
197C2×#88322—41no—
198C2×#88322—41no—
199C2×#88322—41no—
200C2×#88322—41no—
201C23×C53C2×C22⋊C411yescharacteristic
202C23×C53#12011yescharacteristic
203C23×C53#12111yescharacteristic
204C23×C53C22⋊Q811yescharacteristic
205C23×C53#12311yescharacteristic
206C23×C53#12411yescharacteristic
207C23×C53#12711yescharacteristic
208C23×C53#13512yes—
209C23×C53#13512yes—
210C23×C53AGL(1,ℤ/8)12yes—
211C23×C53AGL(1,ℤ/8)12yes—
212C22×D53—24no—
213C22×D53—42no—
214C22×D53—42no—
215C22×D53—42no—
216C22×D53—42no—
217C22×D53—42no—
218C22×D53—42no—
219C22×D53—44no—
220C22×D53—44no—
221C22×D53—44no—
222C22×D53—44no—
223C22×D53—44no—
224C22×D53—44no—
225C22×D53—82no—
226C22×D53—82no—
227C22×D53—82no—
228C22×D53—82no—
229C22×D53—82no—
230C22×D53—82no—
231C22×D53—81no—
232C22×D53—81no—
233C22×D53—81no—
234C22×D53—81no—
235C2×C4×C53—42no—
236C2×C4×C53—42no—
237C2×C4×C53—44no—
238C2×C4×C53—44no—
239C2×C4×C53—82no—
240C2×C4×C53—82no—
241C2×C4×C53—81no—
242C2×C4×C53—81no—
243C2×C4×C53—81no—
244C2×C4×C53—81no—
245C2×C4×C53C2×C4⋊C411yescharacteristic
246C2×C4×C53#11711yescharacteristic
247C2×C4×C53C4×D411yescharacteristic
248C2×C4×C53C4×D411yescharacteristic
249C2×C4×C53C4×D411yescharacteristic
250C2×C4×C53C4×D411yescharacteristic
251C2×C4×C53#12011yescharacteristic
252C2×C4×C53#12011yescharacteristic
253C2×C4×C53#12111yescharacteristic
254C2×C4×C53#12111yescharacteristic
255C2×C4×C53#12111yescharacteristic
256C2×C4×C53#12111yescharacteristic
257C2×C4×C53#12111yescharacteristic
258C2×C4×C53#12111yescharacteristic
259C2×C4×C53#12111yescharacteristic
260C2×C4×C53C22⋊Q811yescharacteristic
261C2×C4×C53C22⋊Q811yescharacteristic
262C2×C4×C53C22⋊Q811yescharacteristic
263C2×C4×C53C22⋊Q811yescharacteristic
264C2×C4×C53C22⋊Q811yescharacteristic
265C2×C4×C53#12311yescharacteristic
266C2×C4×C53#12311yescharacteristic
267C2×C4×C53#12311yescharacteristic
268C2×C4×C53#12311yescharacteristic
269C2×C4×C53#12411yescharacteristic
270C2×C4×C53#12411yescharacteristic
271C2×C4×C53#12611yescharacteristic
272C2×C4×C53#12611yescharacteristic
273C2×Dic53—24no—
274C2×Dic53—24no—
275C2×Dic53—24no—
276C2×Dic53—42no—
277C2×Dic53—42no—
278C2×Dic53—42no—
279C2×Dic53—42no—
280C2×Dic53—42no—
281C2×Dic53—44no—
282C2×Dic53—82no—
283C2×Dic53—81no—
284C2×Dic53—81no—
285D212—24no—
286D212—24no—
287D212—42no—
288D212—42no—
289D212—42no—
290D212—42no—
291D212—42no—
292D212—42no—
293C8×C53—42no—
294#88322—42no—
295#11051—531nomaximal, Sylow
296C22×C53#38011yescharacteristic
297C22×C53#38611yescharacteristic
298C22×C53#39011yescharacteristic
299C22×C53#39211yescharacteristic
300C22×C53#39311yescharacteristic
301C22×C53#39711yescharacteristic
302C22×C53#39911yescharacteristic
303C22×C53#41612yes—
304C22×C53#41812yes—
305C22×C53#44912yes—
306C22×C53#44912yes—
307C22×C53#46312yes—
308C22×C53#46312yes—
309C22×C53#47812yes—
310C22×C53#47812yes—
311C22×C53#48212yes—
312C22×C53#48212yes—
313C22×C53#48812yes—
314C22×C53#49012yes—
315C22×C53#49511yescharacteristic
316C22×C53#49511yescharacteristic
317C22×C53#49611yescharacteristic
318C22×C53#49611yescharacteristic
319C2×D53—48no—
320C2×D53—44no—
321C2×D53—84no—
322C2×D53—82no—
323C2×D53—82no—
324C2×D53—84no—
325C2×D53—82no—
326C2×D53—82no—
327C2×D53—82no—
328C2×D53—82no—
329C2×D53—84no—
330C4×C53—82no—
331C4×C53—82no—
332C4×C53#38511yescharacteristic
333C4×C53#38511yescharacteristic
334C4×C53#38811yescharacteristic
335C4×C53#38811yescharacteristic
336C4×C53#39411yescharacteristic
337C4×C53#39411yescharacteristic
338C4×C53#39611yescharacteristic
339C4×C53#39611yescharacteristic
340Dic53—44no—
341Dic53—82no—
342C22×#102—531no—
343C22×#102—531no—
344C2×#390—531no—
345C2×#382—531no—
346C2×#340—531no—
347C2×#340D5311yescharacteristic, complemented
348C2×#336—531no—
349C2×C53#143911yescharacteristic
350C2×C53#180412yes—
351C2×C53#187512yes—
352C2×C53#195811yescharacteristic
353C2×C53#196111yescharacteristic
354C2×C53#201211yescharacteristic
355C2×C53#201211yescharacteristic
356C2×C53#202512yes—
357C2×C53#207312yes—
358C2×C53#209211yescharacteristic
359C2×C53#209211yescharacteristic
360D53—84no—
361C23×D4—531no—
362C23×C8—531no—
363C23×C8C2×D5311yescharacteristic
364C22×C4⋊C4—531no—
365C22×C4⋊C4C2×D5311yescharacteristic
366C22×C4⋊C4C2×D5311yescharacteristic
367C22×C22⋊C4—1062no—
368C22×C42—531no—
369C2×#102—1062no—
370C2×#102—1062no—
371C2×#102—1062no—
372C2×#102—1062no—
373C2×#102—1062no—
374C2×#102—1062no—
375#390—534no—
376#390—1062no—
377#382—1062no—
378#382—1062no—
379C2×#95—1062no—
380#340—22no—
381#340—1062no—
382#336—1062no—
383C53#1105111yescharacteristic, complemented, Sylow
384C25—1061no—
385C22×D4—532no—
386C22×D4—532no—
387C22×D4—532no—
388C22×D4—1061no—
389C22×D4—1061no—
390C22×D4—1061no—
391C22×D4—1061no—
392C22×D4—1061no—
393C22×D4—1061no—
394C22×D4—1061no—
395C22×D4—1061no—
396C22×D4—1061no—
397C22×D4—1061no—
398C22×D4—1061no—
399C23×C4—21no—
400C23×C4—21no—
401C23×C4—532no—
402C23×C4—1061no—
403C23×C4C22×D5311yescharacteristic
404C22×C8—21no—
405C22×C8—21no—
406C22×C8—21no—
407C22×C8—21no—
408C22×C8—21no—
409C22×C8—21no—
410C22×C8—532no—
411C22×C8—1061no—
412C22×C8—1061no—
413C22×C8—1061no—
414C22×C8—1061no—
415C22×C8—1061no—
416C22×C8—1061no—
417C22×C8C22⋊D5312yes—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—532no—
429C2×C4⋊C4—1061no—
430C2×C4⋊C4—1061no—
431C2×C4⋊C4—1061no—
432C2×C4⋊C4—1061no—
433C2×C4⋊C4—1061no—
434C2×C4⋊C4C4×D5312yes—
435C2×C4⋊C4D21212yes—
436C2×C22⋊C4—1068no—
437C2×C22⋊C4—2124no—
438C2×C22⋊C4—2124no—
439C2×C42—532no—
440C2×C42—532no—
441C2×C42—1061no—
442C2×C42—1061no—
443C2×C42—1061no—
444C2×C42—1061no—
445#102—1068no—
446#102—1068no—
447#95—1068no—
448C24—1062no—
449C24—1062no—
450C24—1062no—
451C24—2121no—
452C24—2121no—
453C24—2121no—
454C24—2121no—
455C24—2122no—
456C24—2122no—
457C24—2122no—
458C24—2122no—
459C24D4×D5311yescharacteristic
460C2×D4—534no—
461C2×D4—1062no—
462C2×D4—1062no—
463C2×D4—1062no—
464C2×D4—1062no—
465C2×D4—1062no—
466C2×D4—1062no—
467C2×D4—1062no—
468C2×D4—1062no—
469C2×D4—1062no—
470C2×D4—1062no—
471C2×D4—1062no—
472C2×D4—1062no—
473C2×D4—1062no—
474C2×D4—1062no—
475C2×D4—1062no—
476C2×D4—2121no—
477C2×D4—2121no—
478C2×D4—2121no—
479C2×D4—2121no—
480C2×D4—2121no—
481C2×D4—2121no—
482C2×D4—2121no—
483C2×D4—2121no—
484C2×D4—2121no—
485C2×D4—2121no—
486C2×D4—2121no—
487C2×D4—2121no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—41no—
491C22×C4—41no—
492C22×C4—41no—
493C22×C4—41no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—534no—
499C22×C4—1062no—
500C22×C4—1062no—
501C22×C4—1062no—
502C22×C4—1062no—
503C22×C4—1062no—
504C22×C4—1062no—
505C22×C4—1062no—
506C22×C4—2121no—
507C22×C4—2121no—
508C22×C4—2122no—
509C22×C4—2122no—
510C22×C4C2×C4×D5311yescharacteristic
511C22×C4C2×D21211yescharacteristic
512C22×C4#1171994511yescharacteristic
513C22×C4#1171994511yescharacteristic
514C22×C4#1171994511yescharacteristic
515C22×C4#1171994511yescharacteristic
516C22×C4D4×D5311yescharacteristic
517C22×C4D4×D5311yescharacteristic
518C22×C4D4×D5311yescharacteristic
519C22×C4D4×D5311yescharacteristic
520C22×C4#1171994711yescharacteristic
521C22×C4Q8×D5311yescharacteristic
522C22×C4#1171994911yescharacteristic
523C22×C4C2×C22⋊D5311yescharacteristic
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—41no—
528C2×C8—41no—
529C2×C8—41no—
530C2×C8—41no—
531C2×C8—1062no—
532C2×C8—1062no—
533C2×C8—1062no—
534C2×C8—2121no—
535C2×C8—2121no—
536C2×C8—2121no—
537C2×C8—2121no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—41no—
543C4⋊C4—41no—
544C4⋊C4—41no—
545C4⋊C4—41no—
546C4⋊C4—1062no—
547C4⋊C4—1062no—
548C4⋊C4—2121no—
549C4⋊C4—2121no—
550C22⋊C4—21216no—
551C42—1062no—
552C42—1062no—
553C42—1062no—
554C42—1062no—
555C23—1064no—
556C23—4241no—
557C23—4241no—
558C23—4241no—
559C23—4242no—
560C23—4242no—
561C23—4242no—
562C23—4242no—
563C23—4242no—
564C23—4242no—
565C23—4241no—
566C23—2122no—
567C23—2122no—
568C23—2122no—
569C23—2122no—
570C23—2122no—
571C23—2122no—
572C23—2124no—
573C23—2124no—
574C23—2124no—
575C23—2124no—
576C23—2124no—
577C23—2124no—
578C23C22⋊C4×D5311yescharacteristic
579C23#1313318711yescharacteristic
580C23#1313319011yescharacteristic
581C23#1313319511yescharacteristic
582C23#1313320211yescharacteristic
583C23#1313320311yescharacteristic
584C23#1313321311yescharacteristic
585C23#1313323812yes—
586C23#1313324012yes—
587C23#1313324112yes—
588C23#1313324412yes—
589D4—1064no—
590D4—1064no—
591D4—2122no—
592D4—2122no—
593D4—2122no—
594D4—2122no—
595D4—2122no—
596D4—2122no—
597C2×C4—44no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—44no—
601C2×C4—81no—
602C2×C4—81no—
603C2×C4—81no—
604C2×C4—82no—
605C2×C4—82no—
606C2×C4—81no—
607C2×C4—1064no—
608C2×C4—1064no—
609C2×C4—1064no—
610C2×C4—4241no—
611C2×C4—4241no—
612C2×C4—4242no—
613C2×C4—2124no—
614C2×C4—2122no—
615C2×C4—2122no—
616C2×C4—2122no—
617C2×C4—2122no—
618C2×C4—2122no—
619C2×C4C4⋊C4×D5311yescharacteristic
620C2×C4#1313317411yescharacteristic
621C2×C4#1313317711yescharacteristic
622C2×C4C4×C22⋊D5311yescharacteristic
623C2×C4#1313317911yescharacteristic
624C2×C4C4×D21211yescharacteristic
625C2×C4#1313318511yescharacteristic
626C2×C4#1313318711yescharacteristic
627C2×C4#1313318911yescharacteristic
628C2×C4#1313319011yescharacteristic
629C2×C4#1313319011yescharacteristic
630C2×C4#1313319011yescharacteristic
631C2×C4#1313319011yescharacteristic
632C2×C4#1313319111yescharacteristic
633C2×C4#1313319211yescharacteristic
634C2×C4#1313319311yescharacteristic
635C2×C4#1313319511yescharacteristic
636C2×C4#1313319511yescharacteristic
637C2×C4#1313319511yescharacteristic
638C2×C4#1313319711yescharacteristic
639C2×C4#1313319911yescharacteristic
640C2×C4#1313320011yescharacteristic
641C2×C4#1313320211yescharacteristic
642C2×C4#1313320211yescharacteristic
643C2×C4#1313320311yescharacteristic
644C2×C4#1313320511yescharacteristic
645C2×C4#1313321111yescharacteristic
646C2×C4#1313321211yescharacteristic
647C8—42no—
648C8—2122no—
649C22—4242no—
650C22—4242no—
651C22—4242no—
652C22—4242no—
653C22—4242no—
654C22—4242no—
655C22—4244no—
656C22—4244no—
657C22—4244no—
658C22—2128no—
659C22—2124no—
660C22#1681048211yescharacteristic
661C22#1681050111yescharacteristic
662C22#1681052311yescharacteristic
663C22#1681053211yescharacteristic
664C22#1681053611yescharacteristic
665C22#1681055211yescharacteristic
666C22#1681055811yescharacteristic
667C22#1681061812yes—
668C22#1681062612yes—
669C22#1681076912yes—
670C22#1681077112yes—
671C22#1681083712yes—
672C22#1681084112yes—
673C22#1681092212yes—
674C22#1681092612yes—
675C22#1681094912yes—
676C22#1681095012yes—
677C22#1681097912yes—
678C22#1681098612yes—
679C22#1681100411yescharacteristic
680C22#1681100811yescharacteristic
681C22#1681100911yescharacteristic
682C22#1681101111yescharacteristic
683C4—82no—
684C4—82no—
685C4—4242no—
686C4—2124no—
687C4#1681049411yescharacteristic
688C4#1681049711yescharacteristic
689C4#1681051211yescharacteristic
690C4#1681051411yescharacteristic
691C4#1681053811yescharacteristic
692C4#1681054111yescharacteristic
693C4#1681054511yescharacteristic
694C4#1681054711yescharacteristic
695C2—4244no—
696C2#2027295911yescharacteristic
697C2#2027472412yes—
698C2#2027503612yes—
699C2#2027552311yescharacteristic
700C2#2027553711yescharacteristic
701C2#2027579311yescharacteristic
702C2#2027579411yescharacteristic
703C2#2027586012yes—
704C2#2027613212yes—
705C2#2027623311yescharacteristic
706C2#2027623711yescharacteristic
subgroupG/H
centerC24D4×D53
commutatorC22×C4×C53C22×C4
FrattiniC23×C4C22×D53
FittingC2×C53×#340C2
socleC24×C53C2×D4
prime radicalC23×D212C22
cosocleC23×C4×C53C23
hypercenterC2×#340D53
hypocenterC53#11051
LCSG ▷ C22×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C24 ◁ C23×C4 ◁ C2×#340

Complements

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

NH ≅ G/Ntype
4. C2×#16810488C2semidirect
5. C2×#16810385C2semidirect
6. C2×#16810377C2semidirect
7. C2×C53×#340C2semidirect
20. #16810524C4semidirect
347. C2×#340D53semidirect
383. C53#11051semidirect

Maximal subgroups

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

subgroupindex
C22×#131331392
C22×#131331372
C2×#168105242
C2×#168104882
C2×#168103852
C2×#168103772
C2×C53×#3402
#1105153