Finite Group Databasebeta

← #29587342

Subgroups — #29587342

Order 15616.

1006 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519703C211yesmaximal, characteristic
2C2×#16839761C211yesmaximal, characteristic
3#21448407C211yesmaximal, characteristic
4C2×#16839530C211yesmaximal, characteristic, complemented
5C2×#16839521C211yesmaximal, characteristic, complemented
6#21444048C211yesmaximal, characteristic, complemented
7C2×C61×#428C211yesmaximal, characteristic, complemented
8C22×#11758222C2211yescharacteristic
9C22×#11758194C2211yescharacteristic
10C22×C4⋊Dic61C2211yescharacteristic
11C22×C4×Dic61C2211yescharacteristic
12C2×#14519703—22no—
13C2×#14519703—22no—
14C2×#14519703C414yescomplemented
15#16839761—22no—
16#16839761—22no—
17C2×#14519700—21no—
18C2×#14519697—21no—
19#16839668—21no—
20#16839664—21no—
21#16839639—22no—
22#16839619—21no—
23#16839619—21no—
24C2×#14519684—22no—
25#16839530—22no—
26#16839521—22no—
27C22×M16×C61C2211yescharacteristic
28C2×#117×C61C2211yescharacteristic
29C22×C4⋊C4×C61C2211yescharacteristic
30C61×#428—22no—
31C61×#428—22no—
32C2×#107×C61—21no—
33C2×#106×C61—21no—
34C2×#11758222—21no—
35C2×#11758222—21no—
36C2×#11758222—21no—
37C2×#11758222—21no—
38C2×#11758222—21no—
39C2×#11758222—21no—
40C2×#11758222—21no—
41C2×#11758222—21no—
42C2×#11758222—21no—
43C2×#11758222—21no—
44C2×#11758222C2×C412yes—
45C2×#11758222Q812yes—
46C22×Dic122D411yescharacteristic
47C22×D244D411yescharacteristic
48C22×C22⋊D61—21no—
49C23×Dic61—21no—
50C23×Dic61D412yes—
51C22×C4×D61—21no—
52C2×#11758194—21no—
53C2×#11758194—21no—
54C2×#11758194—21no—
55C2×#11758194—21no—
56C2×#11758194—21no—
57C2×#11758194D412yes—
58C22×#92418—21no—
59C2×C4⋊Dic61—21no—
60C2×C4⋊Dic61—21no—
61C2×C4⋊Dic61—21no—
62C2×C4⋊Dic61—21no—
63C2×C4⋊Dic61—21no—
64C2×C4⋊Dic61—21no—
65C2×#11758198—22no—
66C2×#11758198—22no—
67C2×C4×Dic61—21no—
68C2×C4×Dic61—21no—
69C2×C4×Dic61—21no—
70C2×C4×Dic61—21no—
71C2×C4×Dic61—21no—
72C2×C4×Dic61C2×C412yes—
73#14519703—28no—
74#14519700—24no—
75#14519697—24no—
76#14519684—22no—
77#14519684—22no—
78#14519684—44no—
79C23×C4×C61—21no—
80C23×C4×C61C2311yescharacteristic
81C2×M16×C61—21no—
82C2×M16×C61—21no—
83C2×M16×C61—21no—
84C2×M16×C61C2×C412yes—
85C2×M16×C61D412yes—
86C2×M16×C61D412yes—
87C22×C8×C61—21no—
88#117×C61—21no—
89#117×C61—21no—
90#117×C61—21no—
91#117×C61—21no—
92C2×C4⋊C4×C61—21no—
93C2×C4⋊C4×C61—21no—
94C2×C4⋊C4×C61—21no—
95C2×C4⋊C4×C61—21no—
96C2×C4⋊C4×C61—21no—
97C2×C4⋊C4×C61D412yes—
98C2×C4⋊C4×C61D411yescharacteristic
99C2×C4⋊C4×C61D411yescharacteristic
100C2×C22⋊C4×C61—21no—
101C2×C42×C61—21no—
102#107×C61—24no—
103#106×C61—24no—
104C24×C61C2×D411yescharacteristic
105C23×D61—21no—
106C22×C4×C61—21no—
107C22×C4×C61—21no—
108C22×C4×C61—22no—
109C22×C4×C61—42no—
110C22×C4×C61—42no—
111C22×C4×C61—41no—
112C22×C4×C61—41no—
113C22×C4×C61C22×C411yescharacteristic
114C22×C4×C61C2×D411yescharacteristic
115C22×C4×C61C2×D411yescharacteristic
116C22×C4×C61C2×D411yescharacteristic
117C22×C4×C61C2×D411yescharacteristic
118C22×C4×C61C2×D411yescharacteristic
119C22×C4×C61C2×D411yescharacteristic
120C22×C4×C61C2×Q811yescharacteristic
121C22×C4×C61#4111yescharacteristic
122C22×C4×C61#4111yescharacteristic
123C22×C4×C61#4111yescharacteristic
124C22×C4×C61#4111yescharacteristic
125C22×C4×C61#4111yescharacteristic
126C22×C4×C61#4111yescharacteristic
127C2×C22⋊D61—22no—
128C2×C22⋊D61—22no—
129C2×C22⋊D61—41no—
130C2×C22⋊D61—41no—
131C2×C22⋊D61—41no—
132C2×C22⋊D61—41no—
133C22×Dic61—22no—
134C22×Dic61—22no—
135C22×Dic61—22no—
136C22×Dic61—21no—
137C22×Dic61—22no—
138C22×Dic61—22no—
139C22×Dic61—22no—
140C22×Dic61—41no—
141C22×Dic61—41no—
142C22×Dic61—41no—
143C22×Dic61—41no—
144C22×Dic61—42no—
145C22×Dic61—42no—
146#11758222—22no—
147#11758222—22no—
148#11758222—22no—
149#11758222—22no—
150#11758222—22no—
151#11758222—22no—
152#11758222—22no—
153#11758222—22no—
154#11758222—41no—
155#11758222—41no—
156#11758222—41no—
157#11758222—41no—
158#11758222—41no—
159#11758222—41no—
160#11758222—41no—
161#11758222—41no—
162C2×D244—21no—
163C2×D244—21no—
164C2×D244—21no—
165C2×D244—21no—
166C2×D244—21no—
167C2×D244C4⋊C412yes—
168C2×C4×D61—22no—
169C2×C4×D61—22no—
170C2×C4×D61—41no—
171C2×C4×D61—41no—
172C2×C4×D61—41no—
173C2×C4×D61—41no—
174C2×Dic122—21no—
175C2×Dic122—21no—
176C2×Dic122—21no—
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122C4⋊C412yes—
180M16×C61—22no—
181M16×C61—22no—
182M16×C61—22no—
183M16×C61C22⋊C414yescomplemented
184C2×C8×C61—22no—
185C2×C8×C61—22no—
186C2×C8×C61—22no—
187C4⋊C4×C61—21no—
188C4⋊C4×C61—22no—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—22no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—41no—
194C4⋊C4×C61—41no—
195C22⋊C4×C61—41no—
196C22⋊C4×C61—41no—
197C42×C61—41no—
198C42×C61—41no—
199#11758198—82no—
200#11758198—82no—
201C4⋊Dic61—41no—
202C4⋊Dic61—41no—
203C4⋊Dic61—41no—
204C4⋊Dic61—41no—
205C4×Dic61—22no—
206C4×Dic61—22no—
207C4×Dic61—41no—
208C4×Dic61—41no—
209#11758194—22no—
210#11758194—22no—
211#11758194—41no—
212#11758194—41no—
213C2×#92418—22no—
214C2×#92418—41no—
215C2×#92418—41no—
216C23×C61—21no—
217C23×C61—21no—
218C23×C61—21no—
219C23×C61—21no—
220C23×C61C4×D411yescharacteristic
221C23×C61#12011yescharacteristic
222C23×C61#12111yescharacteristic
223C23×C61#12111yescharacteristic
224C23×C61C22⋊Q811yescharacteristic
225C23×C61#12311yescharacteristic
226C23×C61#12711yescharacteristic
227C22×D61—22no—
228C22×D61—41no—
229C22×D61—41no—
230C22×D61—41no—
231C22×D61—41no—
232C22×D61—41no—
233C22×D61—41no—
234C2×C4×C61—44no—
235C2×C4×C61—41no—
236C2×C4×C61—41no—
237C2×C4×C61—42no—
238C2×C4×C61—41no—
239C2×C4×C61—41no—
240C2×C4×C61—41no—
241C2×C4×C61—41no—
242C2×C4×C61—82no—
243C2×C4×C61—81no—
244C2×C4×C61—81no—
245C2×C4×C61C2×C22⋊C411yescharacteristic
246C2×C4×C61C2×C4⋊C411yescharacteristic
247C2×C4×C61#11711yescharacteristic
248C2×C4×C61C4×D411yescharacteristic
249C2×C4×C61C4×D411yescharacteristic
250C2×C4×C61C4×D411yescharacteristic
251C2×C4×C61#12011yescharacteristic
252C2×C4×C61#12011yescharacteristic
253C2×C4×C61#12111yescharacteristic
254C2×C4×C61#12111yescharacteristic
255C2×C4×C61#12111yescharacteristic
256C2×C4×C61#12111yescharacteristic
257C2×C4×C61#12111yescharacteristic
258C2×C4×C61#12111yescharacteristic
259C2×C4×C61C22⋊Q811yescharacteristic
260C2×C4×C61C22⋊Q811yescharacteristic
261C2×C4×C61C22⋊Q811yescharacteristic
262C2×C4×C61C22⋊Q811yescharacteristic
263C2×C4×C61C22⋊Q811yescharacteristic
264C2×C4×C61#12311yescharacteristic
265C2×C4×C61#12311yescharacteristic
266C2×C4×C61#12311yescharacteristic
267C2×C4×C61#12311yescharacteristic
268C2×C4×C61#12411yescharacteristic
269C2×C4×C61#12411yescharacteristic
270C2×C4×C61#12411yescharacteristic
271C2×C4×C61#12611yescharacteristic
272C2×C4×C61#12611yescharacteristic
273C22⋊D61—42no—
274C22⋊D61—42no—
275C22⋊D61—42no—
276C22⋊D61—42no—
277C2×Dic61—24no—
278C2×Dic61—22no—
279C2×Dic61—42no—
280C2×Dic61—42no—
281C2×Dic61—42no—
282C2×Dic61—42no—
283C2×Dic61—42no—
284C2×Dic61—42no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—44no—
288C2×Dic61—42no—
289C2×Dic61—42no—
290C2×Dic61—42no—
291C2×Dic61—82no—
292D244—22no—
293D244—22no—
294D244—41no—
295D244—41no—
296C4×D61—42no—
297C4×D61—42no—
298C4×D61—42no—
299C4×D61—42no—
300Dic122—22no—
301Dic122—22no—
302Dic122—41no—
303Dic122—41no—
304C8×C61—24no—
305#92418—42no—
306#11113—611nomaximal, Sylow
307C22×C61—21no—
308C22×C61—21no—
309C22×C61—21no—
310C22×C61—21no—
311C22×C61—21no—
312C22×C61—21no—
313C22×C61—21no—
314C22×C61—21no—
315C22×C61—21no—
316C22×C61—21no—
317C22×C61—21no—
318C22×C61—21no—
319C22×C61#38511yescharacteristic
320C22×C61#38811yescharacteristic
321C22×C61#39011yescharacteristic
322C22×C61#39211yescharacteristic
323C22×C61#39411yescharacteristic
324C22×C61#39611yescharacteristic
325C22×C61#39911yescharacteristic
326C22×C61#45311yescharacteristic
327C22×C61#45411yescharacteristic
328C22×C61#45511yescharacteristic
329C22×C61#45611yescharacteristic
330C2×D61—42no—
331C2×D61—42no—
332C2×D61—42no—
333C2×D61—81no—
334C2×D61—81no—
335C2×D61—81no—
336C2×D61—81no—
337C4×C61—81no—
338C4×C61—82no—
339C4×C61—81no—
340C4×C61#38011yescharacteristic
341C4×C61#38511yescharacteristic
342C4×C61#38611yescharacteristic
343C4×C61#38811yescharacteristic
344C4×C61#39311yescharacteristic
345C4×C61#39411yescharacteristic
346C4×C61#39611yescharacteristic
347C4×C61#39711yescharacteristic
348Dic61—44no—
349Dic61—42no—
350Dic61—82no—
351C2×#428D6111yescharacteristic, complemented
352C22×#104—611no—
353C2×#417—611no—
354#2311—611no—
355C2×#343—611no—
356C2×#339—611no—
357C4⋊#95—611no—
358C2×C61—21no—
359C2×C61—21no—
360C2×C61—21no—
361C2×C61—21no—
362C2×C61#143911yescharacteristic
363C2×C61#185911yescharacteristic
364C2×C61#186011yescharacteristic
365C2×C61#200611yescharacteristic
366C2×C61#200711yescharacteristic
367C2×C61#203711yescharacteristic
368C2×C61#203811yescharacteristic
369D61—82no—
370C22×#41—611no—
371C22×M16—611no—
372C22×M16C2×D6111yescharacteristic
373C2×#117C2×D6111yescharacteristic
374C22×C4⋊C4—611no—
375C22×C4⋊C4C2×D6111yescharacteristic
376C22×C42—611no—
377#428—22no—
378#428—22no—
379C2×#107—21no—
380C2×#106—21no—
381C2×#104—614no—
382C2×#104—1222no—
383C2×#104—1222no—
384#417—1222no—
385#417—1222no—
386C2×#103—1221no—
387C2×#102—1221no—
388#391—1221no—
389#390—1221no—
390#386—1222no—
391#380—1221no—
392#380—1221no—
393C2×#95—1222no—
394#343—1222no—
395#339—1222no—
396C61#1111311yescharacteristic, complemented, Sylow
397C2×#41—612no—
398C2×#41—612no—
399C2×#41—1221no—
400C2×#41—1221no—
401C2×#41—1221no—
402C2×#41—1221no—
403C2×#41—1221no—
404C2×#41—1221no—
405C2×#41—1221no—
406C2×#41—1221no—
407C2×#41—1221no—
408C2×#41—1221no—
409C22×Q8—611no—
410C22×D4—611no—
411C22×D4—1221no—
412C23×C4—21no—
413C23×C4—612no—
414C23×C4—1221no—
415C23×C4—1221no—
416C23×C4C22×D6111yescharacteristic
417C2×M16—21no—
418C2×M16—21no—
419C2×M16—21no—
420C2×M16—612no—
421C2×M16—1221no—
422C2×M16—1221no—
423C2×M16—1221no—
424C2×M16—1221no—
425C2×M16—1221no—
426C2×M16C4×D6112yes—
427C2×M16D24412yes—
428C2×M16C22⋊D6112yes—
429C22×C8—21no—
430C22×C8—1221no—
431#117—21no—
432#117—21no—
433#117—21no—
434#117—21no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—1221no—
441C2×C4⋊C4—1221no—
442C2×C4⋊C4—1221no—
443C2×C4⋊C4—1221no—
444C2×C4⋊C4—1221no—
445C2×C4⋊C4—1221no—
446C2×C4⋊C4C22⋊D6112yes—
447C2×C4⋊C4C22⋊D6111yescharacteristic
448C2×C4⋊C4C22⋊D6111yescharacteristic
449C2×C22⋊C4—21no—
450C2×C22⋊C4—1222no—
451C2×C22⋊C4—1222no—
452C2×C42—21no—
453C2×C42—612no—
454C2×C42—1221no—
455C2×C42—1221no—
456C2×C42—1221no—
457C2×C42—1221no—
458C2×C42—1221no—
459#107—24no—
460#106—24no—
461#104—1228no—
462#103—1224no—
463#102—1224no—
464#95—1222no—
465#95—1222no—
466#95—2444no—
467C24—1221no—
468C24D4×D6111yescharacteristic
469#41—1222no—
470#41—1222no—
471#41—1222no—
472#41—1222no—
473#41—1222no—
474#41—1222no—
475#41—1222no—
476#41—1222no—
477#41—2441no—
478#41—2441no—
479#41—2441no—
480#41—2441no—
481#41—2441no—
482#41—2441no—
483#41—2441no—
484#41—2441no—
485C2×Q8—612no—
486C2×Q8—1221no—
487C2×Q8—1221no—
488C2×Q8—1221no—
489C2×Q8—1221no—
490C2×Q8—1221no—
491C2×D4—612no—
492C2×D4—1222no—
493C2×D4—1222no—
494C2×D4—1221no—
495C2×D4—1221no—
496C2×D4—1221no—
497C2×D4—1221no—
498C2×D4—1221no—
499C2×D4—2441no—
500C2×D4—2441no—
501C2×D4—2441no—
502C2×D4—2441no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—22no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—41no—
509C22×C4—41no—
510C22×C4—1222no—
511C22×C4—1222no—
512C22×C4—1222no—
513C22×C4—1221no—
514C22×C4—1222no—
515C22×C4—1222no—
516C22×C4—1222no—
517C22×C4—1222no—
518C22×C4—1222no—
519C22×C4—2442no—
520C22×C4—2442no—
521C22×C4—2441no—
522C22×C4—2441no—
523C22×C4—2441no—
524C22×C4—2441no—
525C22×C4—2441no—
526C22×C4—2441no—
527C22×C4—2441no—
528C22×C4—2441no—
529C22×C4C2×C4×D6111yescharacteristic
530C22×C4C2×D24411yescharacteristic
531C22×C4#1175822211yescharacteristic
532C22×C4#1175822211yescharacteristic
533C22×C4D4×D6111yescharacteristic
534C22×C4D4×D6111yescharacteristic
535C22×C4#1175822411yescharacteristic
536C22×C4Q8×D6111yescharacteristic
537C22×C4#1175822611yescharacteristic
538C22×C4#1175822611yescharacteristic
539C22×C4#1175822611yescharacteristic
540C22×C4C2×C22⋊D6111yescharacteristic
541C22×C4C2×C22⋊D6111yescharacteristic
542C22×C4C2×C22⋊D6111yescharacteristic
543M16—22no—
544M16—22no—
545M16—22no—
546M16—1222no—
547M16—1222no—
548M16—2441no—
549M16—2441no—
550M16#1175819814yescomplemented
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—1222no—
555C2×C8—2441no—
556C2×C8—2441no—
557C4⋊C4—22no—
558C4⋊C4—21no—
559C4⋊C4—22no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—41no—
564C4⋊C4—41no—
565C4⋊C4—2441no—
566C4⋊C4—2441no—
567C4⋊C4—2441no—
568C4⋊C4—2441no—
569C22⋊C4—41no—
570C22⋊C4—41no—
571C22⋊C4—4882no—
572C22⋊C4—4882no—
573C42—41no—
574C42—41no—
575C42—1222no—
576C42—1222no—
577C42—2441no—
578C42—2441no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—1222no—
584C23—2441no—
585C23—2441no—
586C23—2441no—
587C23—2441no—
588C23—2441no—
589C23—2441no—
590C23#1451973911yescharacteristic
591C23#1451974511yescharacteristic
592C23#1451974911yescharacteristic
593C23#1451975211yescharacteristic
594C23#1451975511yescharacteristic
595C23#1451976211yescharacteristic
596C23#1451977311yescharacteristic
597Q8—1222no—
598Q8—1222no—
599Q8—2441no—
600Q8—2441no—
601D4—1222no—
602D4—1222no—
603D4—2442no—
604D4—2442no—
605D4—2442no—
606D4—2442no—
607D4—2441no—
608D4—2441no—
609C2×C4—44no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—42no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—82no—
618C2×C4—81no—
619C2×C4—81no—
620C2×C4—1224no—
621C2×C4—1222no—
622C2×C4—4882no—
623C2×C4—2444no—
624C2×C4—2442no—
625C2×C4—2442no—
626C2×C4—2442no—
627C2×C4—2442no—
628C2×C4—2442no—
629C2×C4—2442no—
630C2×C4—2442no—
631C2×C4—2442no—
632C2×C4—2442no—
633C2×C4—2441no—
634C2×C4—2441no—
635C2×C4—2442no—
636C2×C4—2442no—
637C2×C4—2442no—
638C2×C4—2442no—
639C2×C4C2×#1175819811yescharacteristic
640C2×C4C4⋊C4×D6111yescharacteristic
641C2×C4#1451973511yescharacteristic
642C2×C4C4×C22⋊D6111yescharacteristic
643C2×C4C4×C22⋊D6111yescharacteristic
644C2×C4#1451973911yescharacteristic
645C2×C4#1451974511yescharacteristic
646C2×C4#1451974611yescharacteristic
647C2×C4#1451974811yescharacteristic
648C2×C4#1451974911yescharacteristic
649C2×C4#1451975111yescharacteristic
650C2×C4#1451975111yescharacteristic
651C2×C4#1451975211yescharacteristic
652C2×C4#1451975211yescharacteristic
653C2×C4#1451975311yescharacteristic
654C2×C4#1451975311yescharacteristic
655C2×C4#1451975311yescharacteristic
656C2×C4#1451975511yescharacteristic
657C2×C4#1451975711yescharacteristic
658C2×C4#1451976011yescharacteristic
659C2×C4#1451976211yescharacteristic
660C2×C4#1451976211yescharacteristic
661C2×C4#1451976211yescharacteristic
662C2×C4#1451976611yescharacteristic
663C2×C4#1451976611yescharacteristic
664C2×C4#1451976611yescharacteristic
665C2×C4#1451977211yescharacteristic
666C2×C4#1451977211yescharacteristic
667C8—24no—
668C8—2442no—
669C22—21no—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—21no—
677C22—21no—
678C22—21no—
679C22—21no—
680C22—21no—
681C22—4881no—
682C22—4881no—
683C22—4881no—
684C22—4881no—
685C22—2442no—
686C22—2442no—
687C22—2442no—
688C22#1683963311yescharacteristic
689C22#1683965211yescharacteristic
690C22#1683966311yescharacteristic
691C22#1683967011yescharacteristic
692C22#1683967911yescharacteristic
693C22#1683968411yescharacteristic
694C22#1683969711yescharacteristic
695C22#1683992811yescharacteristic
696C22#1683993311yescharacteristic
697C22#1683993811yescharacteristic
698C22#1683994311yescharacteristic
699C4—81no—
700C4—82no—
701C4—81no—
702C4—4882no—
703C4—2444no—
704C4—2442no—
705C4#1683961911yescharacteristic
706C4#1683963311yescharacteristic
707C4#1683964111yescharacteristic
708C4#1683965211yescharacteristic
709C4#1683967311yescharacteristic
710C4#1683967911yescharacteristic
711C4#1683968411yescharacteristic
712C4#1683968811yescharacteristic
713C2—21no—
714C2—21no—
715C2—21no—
716C2—21no—
717C2—4882no—
718C2#2144406111yescharacteristic
719C2#2144604211yescharacteristic
720C2#2144604911yescharacteristic
721C2#2144685911yescharacteristic
722C2#2144686411yescharacteristic
723C2#2144703111yescharacteristic
724C2#2144703811yescharacteristic
subgroupG/H
centerC23#14519745
commutatorC22×C4×C61C22×C4
FrattiniC23×C4C22×D61
FittingC2×C61×#428C2
socleC23×C61#120
prime radicalC22×#11758222C22
cosocleC23×C4×C61C23
hypercenterC2×#428D61
hypocenterC61#11113
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
4. C2×#16839530C2semidirect
5. C2×#16839521C2semidirect
6. #21444048C2semidirect
7. C2×C61×#428C2semidirect
14. C2×#14519703C4semidirect
183. M16×C61C22⋊C4semidirect
351. C2×#428D61semidirect
396. C61#11113semidirect
550. M16#11758198semidirect

Maximal subgroups

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

subgroupindex
C22×#145197032
C2×#168397612
#214484072
C2×#168395302
C2×#168395212
#214440482
C2×C61×#4282
#1111361