Finite Group Databasebeta

← #26221552

Subgroups — #26221552

Order 12032.

1134 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689746C211yesmaximal, characteristic
2C2×#15689081C211yesmaximal, characteristic, complemented
3#20245995C211yesmaximal, characteristic, complemented
4#20244359C211yesmaximal, characteristic, complemented
5#20244347C211yesmaximal, characteristic, complemented
6#20244201C211yesmaximal, characteristic, complemented
7#20244196C211yesmaximal, characteristic, complemented
8#20243826C211yesmaximal, characteristic
9#20243814C211yesmaximal, characteristic
10#20243812C211yesmaximal, characteristic, complemented
11#20243220C211yesmaximal, characteristic, complemented
12#20243212C211yesmaximal, characteristic, complemented
13#103×Dic47C211yesmaximal, characteristic, complemented
14#20243202C211yesmaximal, characteristic, complemented
15C47×#1894C211yesmaximal, characteristic, complemented
16C23×C47⋊C8C2211yescharacteristic
17#15689746—24no—
18#15689746C418yescomplemented
19C2×#13094023C2211yescharacteristic
20C2×#13094019—21no—
21C2×#13094013C2211yescharacteristic
22C2×#13094010—21no—
23C2×#13094006—21no—
24C2×#13094004—21no—
25C2×#13093998C2211yescharacteristic
26C2×Q8×Dic47C2211yescharacteristic
27C2×#13093986C2211yescharacteristic
28C2×#13093983C2211yescharacteristic
29C2×#13093948C2211yescharacteristic
30C2×#13093948C2211yescharacteristic
31C2×#13093946C2211yescharacteristic
32C2×#13093946C2211yescharacteristic
33C2×#13093944C2211yescharacteristic
34C2×#13093944C2211yescharacteristic
35#15689081—24no—
36C2×#13093934C2211yescharacteristic
37C2×#13093934C2211yescharacteristic
38C2×C8×Dic47C2211yescharacteristic
39C2×C8×Dic47C2211yescharacteristic
40#15689017—21no—
41#15689011—21no—
42#15689008—21no—
43#15689006—21no—
44#15688992C2211yescharacteristic
45#15688988C2211yescharacteristic
46#15688983C2211yescharacteristic
47C4⋊C4×Dic47C2211yescharacteristic
48C4⋊C4×Dic47C2211yescharacteristic
49#15688886C2211yescharacteristic
50#15688886C2211yescharacteristic
51#15688885C2211yescharacteristic
52#15688885C2211yescharacteristic
53#15688885C2211yescharacteristic
54#15688885C2211yescharacteristic
55C22×M16×C47C2211yescharacteristic
56C2×C22⋊Q8×C47C2211yescharacteristic
57C2×#103×C47C2211yescharacteristic
58C2×#103×C47C2211yescharacteristic
59C47×#380C2211yescharacteristic
60C47×#340C2211yescharacteristic
61C47×#340C2211yescharacteristic
62C22×Dic94—21no—
63C22×D188C2311yescharacteristic
64C22×C22⋊D47—21no—
65C22×C4×D47—21no—
66C22×C47⋊C8—22no—
67C22×C47⋊C8—22no—
68C22×C47⋊C8—22no—
69C22×C47⋊C8C2311yescharacteristic
70C22×C47⋊C8C2311yescharacteristic
71#13094023—22no—
72#13094023C2×C414yes—
73#13094019—28no—
74#13094013—22no—
75#13094013C2×C414yes—
76#13094010—28no—
77#13094006—28no—
78#13094004—28no—
79#13093998—22no—
80#13093998C2×C414yes—
81Q8×Dic47—22no—
82Q8×Dic47C2×C414yes—
83#13093986—22no—
84#13093986C2×C414yes—
85#13093983C2×C414yes—
86#13093983D414yes—
87C2×C4⋊Dic47—21no—
88C2×C4⋊Dic47D411yescharacteristic
89C2×C4⋊Dic47D411yescharacteristic
90C2×C4⋊Dic47C2311yescharacteristic
91C2×C4⋊Dic47C2311yescharacteristic
92C2×C4⋊Dic47C2311yescharacteristic
93C2×Dic47⋊C4—21no—
94C2×Dic47⋊C4—21no—
95C2×Dic47⋊C4—21no—
96C2×C22⋊Dic47—21no—
97C2×C22⋊Dic47D411yescharacteristic
98C2×C22⋊Dic47D411yescharacteristic
99C2×(C2×D47)⋊C4—21no—
100C2×(C2×D47)⋊C4—21no—
101C2×(C2×D47)⋊C4—21no—
102C2×(C2×D47)⋊C4—21no—
103C2×C4×Dic47—21no—
104C2×C4×Dic47—21no—
105C2×C4×Dic47—21no—
106C2×C4×Dic47C2311yescharacteristic
107C2×C4×Dic47C2311yescharacteristic
108#13093948—22no—
109#13093948—22no—
110#13093946—22no—
111#13093946—22no—
112#13093944—22no—
113#13093944—22no—
114#13093934—22no—
115#13093934—22no—
116C8×Dic47—22no—
117C8×Dic47—22no—
118C47⋊#95—21no—
119C47⋊#95—21no—
120C47⋊#95—21no—
121C47⋊#95—21no—
122C47⋊#95—21no—
123C22×Q8×C47C2311yescharacteristic
124C23×C4×C47C2311yescharacteristic
125C2×M16×C47—22no—
126C2×M16×C47—22no—
127C2×M16×C47—22no—
128C22×C8×C47C2311yescharacteristic
129C22×C8×C47C2311yescharacteristic
130C22⋊Q8×C47—22no—
131C22⋊Q8×C47C2×C414yes—
132C2×C4⋊C4×C47—21no—
133C2×C4⋊C4×C47C2311yescharacteristic
134C2×C4⋊C4×C47C2311yescharacteristic
135C2×C4⋊C4×C47C2311yescharacteristic
136C2×C22⋊C4×C47—21no—
137C2×C22⋊C4×C47—21no—
138#103×C47—22no—
139#103×C47—22no—
140#95×C47—21no—
141C24×C47C2×D411yescharacteristic
142C23×D47—21no—
143C2×Q8×C47—21no—
144C2×Q8×C47—21no—
145C2×Q8×C47—21no—
146C2×Q8×C47—21no—
147C2×Q8×C47—21no—
148C2×Q8×C47C22×C412yes—
149C22×C4×C47—21no—
150C22×C4×C47—21no—
151C22×C4×C47—21no—
152C22×C4×C47—21no—
153C22×C4×C47—21no—
154C22×C4×C47—21no—
155C22×C4×C47—21no—
156C22×C4×C47—21no—
157C22×C4×C47C22×C412yes—
158C22×C4×C47C2×D411yescharacteristic
159C22×C4×C47C2×D412yes—
160C22×C4×C47C2411yescharacteristic
161C2×C22⋊D47—24no—
162C2×C22⋊D47—81no—
163C2×C22⋊D47—81no—
164C22×Dic47—21no—
165C22×Dic47—21no—
166C22×Dic47—21no—
167C22×Dic47C2×D411yescharacteristic
168C22×Dic47C2×D411yescharacteristic
169C22×Dic47C2×D411yescharacteristic
170C22×Dic47C2×D411yescharacteristic
171C2×D188—21no—
172C2×D188—21no—
173C2×D188—21no—
174C2×D188—21no—
175C2×D188—21no—
176C2×D188C22×C412yes—
177C2×C4×D47—24no—
178C2×C4×D47—81no—
179C2×C4×D47—81no—
180C2×Dic94—24no—
181C2×Dic94—81no—
182C2×Dic94—81no—
183M16×C47—28no—
184C2×C8×C47—21no—
185C2×C8×C47—21no—
186C2×C8×C47—21no—
187C2×C8×C47—21no—
188C2×C8×C47#4112yes—
189C2×C8×C47#4112yes—
190C4⋊C4×C47—24no—
191C4⋊C4×C47—21no—
192C4⋊C4×C47—21no—
193C4⋊C4×C47—21no—
194C4⋊C4×C47—21no—
195C4⋊C4×C47—21no—
196C4⋊C4×C47C22×C412yes—
197C22⋊C4×C47—24no—
198C22⋊C4×C47—81no—
199C22⋊Dic47—81no—
200C22⋊Dic47C22⋊C414yes—
201C22⋊Dic47C22⋊C414yes—
202(C2×D47)⋊C4—24no—
203(C2×D47)⋊C4—24no—
204(C2×D47)⋊C4—24no—
205(C2×D47)⋊C4—24no—
206C4⋊Dic47—21no—
207C4⋊Dic47—24no—
208C4⋊Dic47—21no—
209C4⋊Dic47—21no—
210C4⋊Dic47—21no—
211C4⋊Dic47—21no—
212C4⋊Dic47C22⋊C414yes—
213C4⋊Dic47C22⋊C414yes—
214C4⋊Dic47C22×C412yes—
215Dic47⋊C4—24no—
216Dic47⋊C4—81no—
217Dic47⋊C4—81no—
218C4×Dic47—24no—
219C4×Dic47—81no—
220C4×Dic47—81no—
221C4×Dic47C22×C412yes—
222C4×Dic47C22×C412yes—
223C4×Dic47C2×D412yes—
224C4×Dic47C2×D412yes—
225C2×C47⋊C8—28no—
226C2×C47⋊C8—21no—
227C2×C47⋊C8—21no—
228C2×C47⋊C8—21no—
229C2×C47⋊C8—21no—
230C2×C47⋊C8#4112yes—
231C2×C47⋊C8#4112yes—
232C23×C47—21no—
233C23×C47—21no—
234C23×C47—21no—
235C23×C47—21no—
236C23×C47—21no—
237C23×C47—21no—
238C23×C47C2×C22⋊C412yes—
239C23×C47C22×D411yescharacteristic
240C22×D47—22no—
241C22×D47—41no—
242C22×D47—41no—
243C22×D47—41no—
244C22×D47—41no—
245C22×D47—41no—
246C22×D47—41no—
247Q8×C47—22no—
248Q8×C47—22no—
249Q8×C47—41no—
250Q8×C47—41no—
251C2×C4×C47—21no—
252C2×C4×C47—21no—
253C2×C4×C47—22no—
254C2×C4×C47—22no—
255C2×C4×C47—22no—
256C2×C4×C47—22no—
257C2×C4×C47—22no—
258C2×C4×C47—22no—
259C2×C4×C47—41no—
260C2×C4×C47—41no—
261C2×C4×C47—41no—
262C2×C4×C47—41no—
263C2×C4×C47—41no—
264C2×C4×C47—41no—
265C2×C4×C47—41no—
266C2×C4×C47—41no—
267C2×C4×C47—41no—
268C2×C4×C47—41no—
269C2×C4×C47C2×C22⋊C412yes—
270C2×C4×C47C23×C411yescharacteristic
271C2×C4×C47C22×D411yescharacteristic
272C2×C4×C47C2×#4111yescharacteristic
273C2×C4×C47C2×#4111yescharacteristic
274C2×C4×C47C2×#4111yescharacteristic
275C2×C4×C47C2×#4111yescharacteristic
276C22⋊D47—84no—
277C2×Dic47—21no—
278C2×Dic47—21no—
279C2×Dic47—21no—
280C2×Dic47—21no—
281C2×Dic47—21no—
282C2×Dic47—21no—
283C2×Dic47—21no—
284C2×Dic47—21no—
285C2×Dic47—22no—
286C2×Dic47—41no—
287C2×Dic47—41no—
288C2×Dic47—41no—
289C2×Dic47—41no—
290C2×Dic47—41no—
291C2×Dic47—41no—
292C2×Dic47—41no—
293C2×Dic47—41no—
294C2×Dic47C2×C22⋊C412yes—
295C2×Dic47C2×C22⋊C412yes—
296C2×Dic47C2×C22⋊C412yes—
297C2×Dic47C2×C22⋊C412yes—
298D188—22no—
299D188—22no—
300D188—41no—
301D188—41no—
302C4×D47—84no—
303Dic94—84no—
304C8×C47—22no—
305C8×C47—22no—
306C47⋊C8—22no—
307C47⋊C8—22no—
308#21412—471nomaximal, Sylow
309C22×C47—22no—
310C22×C47—22no—
311C22×C47—22no—
312C22×C47—41no—
313C22×C47—41no—
314C22×C47—41no—
315C22×C47—41no—
316C22×C47C22×C22⋊C411yescharacteristic
317C22×C47#53211yescharacteristic
318C22×C47#53211yescharacteristic
319C22×C47#57611yescharacteristic
320C22×C47#57711yescharacteristic
321C22×C47#57711yescharacteristic
322C22×C47#57811yescharacteristic
323C2×D47—42no—
324C2×D47—42no—
325C2×D47—42no—
326C2×D47—81no—
327C2×D47—81no—
328C2×D47—81no—
329C2×D47—81no—
330C4×C47—22no—
331C4×C47—42no—
332C4×C47—42no—
333C4×C47—81no—
334C4×C47—81no—
335C4×C47C4×#4111yescharacteristic
336C4×C47C4×#4111yescharacteristic
337C4×C47#52511yescharacteristic
338C4×C47#52511yescharacteristic
339Dic47—22no—
340Dic47—22no—
341Dic47—22no—
342Dic47—22no—
343Dic47—42no—
344Dic47—81no—
345Dic47—81no—
346C2×#542—471no—
347C2×#405—471no—
348#2314—471no—
349#1993—471no—
350#1990—471no—
351#1959—471no—
352#1958—471no—
353#1895—471no—
354#1894D4711yescharacteristic, complemented
355#1893—471no—
356#1892—471no—
357#1763—471no—
358#1762—471no—
359C4×#103—471no—
360C4×#102—471no—
361C2×C47—42no—
362C2×C47#229711yescharacteristic
363C2×C47#289711yescharacteristic
364C2×C47#289811yescharacteristic
365C2×C47#317311yescharacteristic
366C2×C47#317511yescharacteristic
367C2×C47#317811yescharacteristic
368C2×C47#317911yescharacteristic
369D47—82no—
370C22×M16C2×D4711yescharacteristic
371C23×C8—471no—
372#542—478no—
373#542—944no—
374C2×C4⋊Q8—471no—
375C2×#126—941no—
376C2×#124—471no—
377C2×#124—941no—
378C2×#123—941no—
379C2×C22⋊Q8—941no—
380C2×C22⋊Q8C2×D4711yescharacteristic
381C2×#121—471no—
382C2×C4×Q8—471no—
383C2×C4×D4—471no—
384C2×#117—471no—
385C2×#103—471no—
386C2×#103—471no—
387C2×#103C2×D4711yescharacteristic
388C2×#103C2×D4711yescharacteristic
389C2×#102—471no—
390C2×#102—471no—
391C2×#102—471no—
392C2×#102—471no—
393#405—944no—
394C2×#97—471no—
395C2×#97—471no—
396C2×C4×C8—471no—
397C2×C4×C8—471no—
398#388—941no—
399#388—941no—
400#387—941no—
401#387—941no—
402#384—471no—
403#382—471no—
404#380—471no—
405#380C2×D4711yescharacteristic
406C4×C4⋊C4—471no—
407C4×C4⋊C4—471no—
408#340—471no—
409#340—471no—
410#340—471no—
411#340—471no—
412#340—471no—
413#340—471no—
414#340C2×D4711yescharacteristic
415#340C2×D4711yescharacteristic
416C47#2141211yescharacteristic, complemented, Sylow
417C22×Q8—941no—
418C22×Q8C22×D4711yescharacteristic
419C22×D4—471no—
420C22×D4—941no—
421C23×C4—941no—
422C23×C4C22×D4711yescharacteristic
423C2×M16—22no—
424C2×M16—22no—
425C2×M16—22no—
426C22×C8—471no—
427C22×C8—471no—
428C22×C8—942no—
429C22×C8—942no—
430C22×C8—942no—
431C22×C8C22×D4711yescharacteristic
432C22×C8C22×D4711yescharacteristic
433C4⋊Q8—474no—
434C4⋊Q8—942no—
435#126—948no—
436#124—474no—
437#124—942no—
438#124—948no—
439#123—948no—
440C22⋊Q8—22no—
441C22⋊Q8—948no—
442C22⋊Q8C4×D4714yes—
443#121—474no—
444#121—942no—
445C4×Q8—474no—
446C4×Q8—942no—
447C4×D4—474no—
448C4×D4—942no—
449#117—474no—
450#117—474no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—471no—
453C2×C4⋊C4—471no—
454C2×C4⋊C4—471no—
455C2×C4⋊C4—471no—
456C2×C4⋊C4—471no—
457C2×C4⋊C4—941no—
458C2×C4⋊C4—941no—
459C2×C4⋊C4—941no—
460C2×C4⋊C4—941no—
461C2×C4⋊C4C22×D4711yescharacteristic
462C2×C4⋊C4C22×D4711yescharacteristic
463C2×C4⋊C4C22×D4711yescharacteristic
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—471no—
467C2×C22⋊C4—471no—
468C2×C22⋊C4—941no—
469C2×C22⋊C4—941no—
470C2×C22⋊C4—941no—
471C2×C22⋊C4—941no—
472C2×C22⋊C4—941no—
473C2×C42—471no—
474C2×C42—471no—
475C2×C42—941no—
476C2×C42—941no—
477C2×C42—941no—
478#103—22no—
479#103—22no—
480#103—942no—
481#103—942no—
482#102—942no—
483#102—942no—
484#102—942no—
485#102—942no—
486#97—942no—
487#97—942no—
488C4×C8—942no—
489C4×C8—942no—
490#95—21no—
491#95—941no—
492#95—941no—
493#95—941no—
494#95—941no—
495#95—941no—
496C24—941no—
497C24D4×D4711yescharacteristic
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—944no—
504C2×Q8—3761no—
505C2×Q8—3761no—
506C2×Q8C2×C4×D4712yes—
507C2×D4—472no—
508C2×D4—944no—
509C2×D4—941no—
510C2×D4—941no—
511C2×D4—941no—
512C2×D4—941no—
513C2×D4—941no—
514C2×D4—3761no—
515C2×D4—3761no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—471no—
525C22×C4—471no—
526C22×C4—471no—
527C22×C4—471no—
528C22×C4—944no—
529C22×C4—941no—
530C22×C4—941no—
531C22×C4—941no—
532C22×C4—3761no—
533C22×C4—3761no—
534C22×C4C2×C4×D4712yes—
535C22×C4D4×D4711yescharacteristic
536C22×C4D4×D4712yes—
537C22×C4C23×D4711yescharacteristic
538M16—28no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—472no—
544C2×C8—472no—
545C2×C8—948no—
546C2×C8—941no—
547C2×C8—941no—
548C2×C8—941no—
549C2×C8—941no—
550C2×C8#1062535212yes—
551C2×C8#1062535212yes—
552C4⋊C4—24no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—474no—
559C4⋊C4—474no—
560C4⋊C4—472no—
561C4⋊C4—944no—
562C4⋊C4—944no—
563C4⋊C4—941no—
564C4⋊C4—941no—
565C4⋊C4—941no—
566C4⋊C4—941no—
567C4⋊C4—941no—
568C4⋊C4—3761no—
569C4⋊C4—3761no—
570C4⋊C4C2×C4×D4712yes—
571C22⋊C4—24no—
572C22⋊C4—81no—
573C22⋊C4—474no—
574C22⋊C4—474no—
575C22⋊C4—944no—
576C22⋊C4—944no—
577C22⋊C4—944no—
578C22⋊C4—944no—
579C22⋊C4—3761no—
580C42—472no—
581C42—472no—
582C42—472no—
583C42—472no—
584C42—944no—
585C42—3761no—
586C42—3761no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—942no—
594C23—1881no—
595C23—1881no—
596C23—1881no—
597C23—1881no—
598C23—1881no—
599C23—1881no—
600C23C22⋊C4×D4712yes—
601C23C2×D4×D4711yescharacteristic
602Q8—22no—
603Q8—22no—
604Q8—41no—
605Q8—41no—
606Q8—3764no—
607D4—942no—
608D4—942no—
609D4—3764no—
610D4—1881no—
611D4—1881no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—472no—
631C2×C4—472no—
632C2×C4—472no—
633C2×C4—472no—
634C2×C4—941no—
635C2×C4—941no—
636C2×C4—941no—
637C2×C4—941no—
638C2×C4—941no—
639C2×C4—941no—
640C2×C4—941no—
641C2×C4—941no—
642C2×C4—942no—
643C2×C4—3764no—
644C2×C4—1881no—
645C2×C4—1881no—
646C2×C4—1881no—
647C2×C4—1881no—
648C2×C4—1881no—
649C2×C4—1881no—
650C2×C4—1881no—
651C2×C4—1881no—
652C2×C4C22⋊C4×D4712yes—
653C2×C4C22×C4×D4711yescharacteristic
654C2×C4C2×D4×D4711yescharacteristic
655C2×C4#41×D4711yescharacteristic
656C2×C4#41×D4711yescharacteristic
657C2×C4C2×#1062535211yescharacteristic
658C2×C4C2×#1062535211yescharacteristic
659C8—22no—
660C8—22no—
661C8—942no—
662C8—942no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—3761no—
671C22—3761no—
672C22—3761no—
673C22—3761no—
674C22—1882no—
675C22—1882no—
676C22—1882no—
677C22C2×C22⋊C4×D4711yescharacteristic
678C22#1568966811yescharacteristic
679C22#1568966811yescharacteristic
680C22#1568992711yescharacteristic
681C22#1568993211yescharacteristic
682C22#1568993211yescharacteristic
683C22#1568993911yescharacteristic
684C4—22no—
685C4—42no—
686C4—42no—
687C4—81no—
688C4—81no—
689C4—942no—
690C4—942no—
691C4—942no—
692C4—942no—
693C4—3761no—
694C4—3761no—
695C4—1882no—
696C4C4×#1062535211yescharacteristic
697C4C4×#1062535211yescharacteristic
698C4#1568962911yescharacteristic
699C4#1568963111yescharacteristic
700C2—42no—
701C2—3762no—
702C2#2024587311yescharacteristic
703C2#2025191211yescharacteristic
704C2#2025192011yescharacteristic
705C2#2025400611yescharacteristic
706C2#2025402211yescharacteristic
707C2#2025405711yescharacteristic
708C2#2025406411yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#1894C2
socleC23×C47C22×D4
prime radicalC2×#13093998C22
cosocleC22×C4×C47C24
hypercenter#1894D47
hypocenterC47#21412
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1894

Complements

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

NH ≅ G/Ntype
2. C2×#15689081C2semidirect
3. #20245995C2semidirect
4. #20244359C2semidirect
5. #20244347C2semidirect
6. #20244201C2semidirect
7. #20244196C2semidirect
10. #20243812C2semidirect
11. #20243220C2semidirect
12. #20243212C2semidirect
13. #103×Dic47C2semidirect
14. #20243202C2semidirect
15. C47×#1894C2semidirect
18. #15689746C4semidirect
354. #1894D47semidirect
416. C47#21412semidirect

Maximal subgroups

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

subgroupindex
C2×#156897462
C2×#156890812
#202459952
#202443592
#202443472
#202442012
#202441962
#202438262
#202438142
#202438122
#202432202
#202432122
#103×Dic472
#202432022
C47×#18942
#2141247