Finite Group Databasebeta

← #25003930

Subgroups — #25003930

Order 11008.

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
1C2×#14582941C211yesmaximal, characteristic, complemented
2C22×#13063251C211yesmaximal, characteristic
3C2×#14582901C211yesmaximal, characteristic
4#19137188C211yesmaximal, characteristic
5C2×#14582660C211yesmaximal, characteristic, complemented
6#19132824C211yesmaximal, characteristic, complemented
7C2×C43×#343C211yesmaximal, characteristic, complemented
8C22×#10621898C2211yescharacteristic
9C2×#13063284C2211yescharacteristic
10C22×C4⋊Dic43C2211yescharacteristic
11C22×C4×Dic43C2211yescharacteristic
12#14582941—22no—
13#14582941—22no—
14C2×#13063259—21no—
15C2×#13063257—21no—
16C2×#13063251—22no—
17C2×#13063251—22no—
18C2×#13063251C414yescomplemented
19#14582901—22no—
20#14582901—22no—
21C2×#13063250—21no—
22C2×#13063247—21no—
23#14582804—21no—
24#14582800—21no—
25#14582778—22no—
26#14582756—21no—
27#14582756—21no—
28C2×C43⋊#95—22no—
29#14582660—22no—
30C22×M16×C43C2211yescharacteristic
31C22×M16×C43C2211yescharacteristic
32C22×C4⋊C4×C43C2211yescharacteristic
33C43×#343—22no—
34C2×#10621898—21no—
35C2×#10621898—21no—
36C2×#10621898—21no—
37C2×#10621898—21no—
38C2×#10621898—21no—
39C2×#10621898—21no—
40C2×#10621898—21no—
41C2×#10621898—21no—
42C2×#10621898—21no—
43C2×#10621898—21no—
44C2×#10621898C2×C412yes—
45C2×#10621898Q812yes—
46C22×Dic86D411yescharacteristic
47C22×D172D411yescharacteristic
48C22×C22⋊D43—21no—
49C23×Dic43—21no—
50C23×Dic43—21no—
51C22×C4×D43—21no—
52#13063284—21no—
53#13063284—21no—
54#13063284—21no—
55#13063284—21no—
56C2×C4⋊Dic43—21no—
57C2×C4⋊Dic43—21no—
58C2×C4⋊Dic43—21no—
59C2×C4⋊Dic43—21no—
60C2×C4⋊Dic43—21no—
61C2×C4⋊Dic43D412yes—
62C2×C4⋊Dic43D411yescharacteristic
63C2×C4⋊Dic43D411yescharacteristic
64C2×C22⋊Dic43—21no—
65C2×(C2×D43)⋊C4—22no—
66C2×(C2×D43)⋊C4—22no—
67C2×C4×Dic43—21no—
68C2×C4×Dic43—21no—
69C2×C4×Dic43—21no—
70C2×C4×Dic43—21no—
71C2×C4×Dic43—21no—
72C2×C4×Dic43—21no—
73C2×C4×Dic43C2×C412yes—
74#13063259—24no—
75#13063257—24no—
76#13063251—28no—
77#13063250—24no—
78#13063247—24no—
79C43⋊#95—22no—
80C43⋊#95—22no—
81C43⋊#95—44no—
82C23×C4×C43D412yes—
83C23×C4×C43C2311yescharacteristic
84C2×M16×C43—21no—
85C2×M16×C43—21no—
86C2×M16×C43—21no—
87C2×M16×C43—21no—
88C2×M16×C43—21no—
89C2×M16×C43—21no—
90C2×M16×C43—21no—
91C2×M16×C43—21no—
92C2×M16×C43C2×C412yes—
93C2×M16×C43D412yes—
94C2×M16×C43D412yes—
95C2×M16×C43D412yes—
96C22×C8×C43—21no—
97C22×C8×C43—21no—
98C2×C4⋊C4×C43—21no—
99C2×C4⋊C4×C43—21no—
100C2×C4⋊C4×C43—21no—
101C2×C4⋊C4×C43—21no—
102C2×C4⋊C4×C43—21no—
103C2×C4⋊C4×C43—21no—
104C24×C43C2×D411yescharacteristic
105C23×D43—21no—
106C22×C4×C43—22no—
107C22×C4×C43—22no—
108C22×C4×C43—22no—
109C22×C4×C43—42no—
110C22×C4×C43—42no—
111C22×C4×C43C22×C411yescharacteristic
112C22×C4×C43C2×D411yescharacteristic
113C22×C4×C43C2×D411yescharacteristic
114C22×C4×C43C2×D411yescharacteristic
115C22×C4×C43C2×D411yescharacteristic
116C22×C4×C43C2×D411yescharacteristic
117C22×C4×C43C2×D411yescharacteristic
118C22×C4×C43C2×Q811yescharacteristic
119C22×C4×C43#4111yescharacteristic
120C22×C4×C43#4111yescharacteristic
121C22×C4×C43#4111yescharacteristic
122C22×C4×C43#4111yescharacteristic
123C22×C4×C43#4111yescharacteristic
124C22×C4×C43#4111yescharacteristic
125C2×C22⋊D43—22no—
126C2×C22⋊D43—22no—
127C2×C22⋊D43—41no—
128C2×C22⋊D43—41no—
129C2×C22⋊D43—41no—
130C2×C22⋊D43—41no—
131C22×Dic43—22no—
132C22×Dic43—22no—
133C22×Dic43—22no—
134C22×Dic43—21no—
135C22×Dic43—21no—
136C22×Dic43—21no—
137C22×Dic43—22no—
138C22×Dic43—41no—
139C22×Dic43—41no—
140C22×Dic43—42no—
141C22×Dic43—42no—
142C22×Dic43—41no—
143C22×Dic43—41no—
144C22×Dic43—41no—
145C22×Dic43—41no—
146#10621898—22no—
147#10621898—22no—
148#10621898—22no—
149#10621898—22no—
150#10621898—22no—
151#10621898—22no—
152#10621898—22no—
153#10621898—22no—
154#10621898—41no—
155#10621898—41no—
156#10621898—41no—
157#10621898—41no—
158#10621898—41no—
159#10621898—41no—
160#10621898—41no—
161#10621898—41no—
162C2×D172—21no—
163C2×D172—21no—
164C2×D172—21no—
165C2×D172—21no—
166C2×D172—21no—
167C2×D172C4⋊C412yes—
168C2×C4×D43—22no—
169C2×C4×D43—22no—
170C2×C4×D43—41no—
171C2×C4×D43—41no—
172C2×C4×D43—41no—
173C2×C4×D43—41no—
174C2×Dic86—21no—
175C2×Dic86—21no—
176C2×Dic86—21no—
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86C4⋊C412yes—
180M16×C43—22no—
181M16×C43—22no—
182M16×C43—22no—
183M16×C43—22no—
184M16×C43—22no—
185M16×C43—41no—
186M16×C43—41no—
187M16×C43C22⋊C414yescomplemented
188C2×C8×C43—22no—
189C2×C8×C43—22no—
190C2×C8×C43—22no—
191C2×C8×C43—22no—
192C2×C8×C43—41no—
193C2×C8×C43—41no—
194C4⋊C4×C43—41no—
195C4⋊C4×C43—41no—
196C4⋊C4×C43—41no—
197C4⋊C4×C43—41no—
198C22⋊Dic43—41no—
199C22⋊Dic43—41no—
200(C2×D43)⋊C4—82no—
201(C2×D43)⋊C4—82no—
202C4⋊Dic43—22no—
203C4⋊Dic43—21no—
204C4⋊Dic43—22no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—41no—
209C4⋊Dic43—41no—
210C4×Dic43—22no—
211C4×Dic43—22no—
212C4×Dic43—41no—
213C4×Dic43—41no—
214C4×Dic43—41no—
215C4×Dic43—41no—
216C23×C43—21no—
217C23×C43—21no—
218C23×C43—21no—
219C23×C43—21no—
220C23×C43C4×D411yescharacteristic
221C23×C43#12011yescharacteristic
222C23×C43#12111yescharacteristic
223C23×C43#12111yescharacteristic
224C23×C43C22⋊Q811yescharacteristic
225C23×C43#12311yescharacteristic
226C23×C43#12711yescharacteristic
227C22×D43—22no—
228C22×D43—41no—
229C22×D43—41no—
230C22×D43—41no—
231C22×D43—41no—
232C22×D43—41no—
233C22×D43—41no—
234C2×C4×C43—44no—
235C2×C4×C43—42no—
236C2×C4×C43—42no—
237C2×C4×C43—42no—
238C2×C4×C43—82no—
239C2×C4×C43C2×C22⋊C411yescharacteristic
240C2×C4×C43C2×C4⋊C411yescharacteristic
241C2×C4×C43#11711yescharacteristic
242C2×C4×C43C4×D411yescharacteristic
243C2×C4×C43C4×D411yescharacteristic
244C2×C4×C43C4×D411yescharacteristic
245C2×C4×C43#12011yescharacteristic
246C2×C4×C43#12011yescharacteristic
247C2×C4×C43#12111yescharacteristic
248C2×C4×C43#12111yescharacteristic
249C2×C4×C43#12111yescharacteristic
250C2×C4×C43#12111yescharacteristic
251C2×C4×C43#12111yescharacteristic
252C2×C4×C43#12111yescharacteristic
253C2×C4×C43C22⋊Q811yescharacteristic
254C2×C4×C43C22⋊Q811yescharacteristic
255C2×C4×C43C22⋊Q811yescharacteristic
256C2×C4×C43C22⋊Q811yescharacteristic
257C2×C4×C43C22⋊Q811yescharacteristic
258C2×C4×C43#12311yescharacteristic
259C2×C4×C43#12311yescharacteristic
260C2×C4×C43#12311yescharacteristic
261C2×C4×C43#12311yescharacteristic
262C2×C4×C43#12411yescharacteristic
263C2×C4×C43#12411yescharacteristic
264C2×C4×C43#12411yescharacteristic
265C2×C4×C43#12611yescharacteristic
266C2×C4×C43#12611yescharacteristic
267C22⋊D43—42no—
268C22⋊D43—42no—
269C22⋊D43—42no—
270C22⋊D43—42no—
271C2×Dic43—24no—
272C2×Dic43—22no—
273C2×Dic43—42no—
274C2×Dic43—42no—
275C2×Dic43—42no—
276C2×Dic43—42no—
277C2×Dic43—42no—
278C2×Dic43—42no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43—44no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—42no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—82no—
290C2×Dic43—81no—
291C2×Dic43—81no—
292D172—22no—
293D172—22no—
294D172—41no—
295D172—41no—
296C4×D43—42no—
297C4×D43—42no—
298C4×D43—42no—
299C4×D43—42no—
300Dic86—22no—
301Dic86—22no—
302Dic86—41no—
303Dic86—41no—
304C8×C43—24no—
305C8×C43—42no—
306#11113—431nomaximal, Sylow
307C22×C43—21no—
308C22×C43—21no—
309C22×C43—21no—
310C22×C43—21no—
311C22×C43—21no—
312C22×C43—21no—
313C22×C43—21no—
314C22×C43—21no—
315C22×C43—21no—
316C22×C43—21no—
317C22×C43—21no—
318C22×C43—21no—
319C22×C43#38511yescharacteristic
320C22×C43#38811yescharacteristic
321C22×C43#39011yescharacteristic
322C22×C43#39211yescharacteristic
323C22×C43#39411yescharacteristic
324C22×C43#39611yescharacteristic
325C22×C43#39911yescharacteristic
326C22×C43#45311yescharacteristic
327C22×C43#45411yescharacteristic
328C22×C43#45511yescharacteristic
329C22×C43#45611yescharacteristic
330C2×D43—42no—
331C2×D43—42no—
332C2×D43—42no—
333C2×D43—81no—
334C2×D43—81no—
335C2×D43—81no—
336C2×D43—81no—
337C4×C43—82no—
338C4×C43#38011yescharacteristic
339C4×C43#38511yescharacteristic
340C4×C43#38611yescharacteristic
341C4×C43#38811yescharacteristic
342C4×C43#39311yescharacteristic
343C4×C43#39411yescharacteristic
344C4×C43#39611yescharacteristic
345C4×C43#39711yescharacteristic
346Dic43—44no—
347Dic43—42no—
348Dic43—81no—
349Dic43—82no—
350Dic43—81no—
351C2×#428—431no—
352C22×#104—431no—
353C2×#417—431no—
354#2311—431no—
355C2×#343D4311yescharacteristic, complemented
356C2×#339—431no—
357C4⋊#95—431no—
358C2×C43—21no—
359C2×C43—21no—
360C2×C43—21no—
361C2×C43—21no—
362C2×C43#143911yescharacteristic
363C2×C43#185911yescharacteristic
364C2×C43#186011yescharacteristic
365C2×C43#200611yescharacteristic
366C2×C43#200711yescharacteristic
367C2×C43#203711yescharacteristic
368C2×C43#203811yescharacteristic
369D43—82no—
370C22×#41—431no—
371C22×M16C2×D4311yescharacteristic
372C22×M16C2×D4311yescharacteristic
373C2×#117—431no—
374C22×C4⋊C4—431no—
375C22×C4⋊C4C2×D4311yescharacteristic
376C22×C42—431no—
377#428—862no—
378#428—862no—
379C2×#107—861no—
380C2×#106—861no—
381C2×#104—434no—
382C2×#104—862no—
383C2×#104—862no—
384#417—862no—
385#417—862no—
386C2×#103—861no—
387C2×#102—861no—
388#391—861no—
389#390—861no—
390#386—862no—
391#380—861no—
392#380—861no—
393C2×#95—862no—
394#343—22no—
395#339—862no—
396C43#1111311yescharacteristic, complemented, Sylow
397C2×#41—432no—
398C2×#41—432no—
399C2×#41—861no—
400C2×#41—861no—
401C2×#41—861no—
402C2×#41—861no—
403C2×#41—861no—
404C2×#41—861no—
405C2×#41—861no—
406C2×#41—861no—
407C2×#41—861no—
408C2×#41—861no—
409C22×Q8—431no—
410C22×D4—431no—
411C22×D4—861no—
412C23×C4—861no—
413C23×C4—861no—
414C23×C4—861no—
415C23×C4D17212yes—
416C23×C4C22×D4311yescharacteristic
417C2×M16—21no—
418C2×M16—21no—
419C2×M16—21no—
420C2×M16—21no—
421C2×M16—21no—
422C2×M16—21no—
423C2×M16—21no—
424C2×M16—21no—
425C2×M16C4×D4312yes—
426C2×M16D17212yes—
427C2×M16D17212yes—
428C2×M16C22⋊D4312yes—
429C22×C8—21no—
430C22×C8—21no—
431#117—861no—
432#117—861no—
433#117—861no—
434#117—861no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—432no—
442C2×C4⋊C4—431no—
443C2×C4⋊C4—431no—
444C2×C4⋊C4—861no—
445C2×C4⋊C4—861no—
446C2×C4⋊C4—861no—
447C2×C4⋊C4—861no—
448C2×C4⋊C4—861no—
449C2×C22⋊C4—862no—
450C2×C22⋊C4—862no—
451C2×C22⋊C4—861no—
452C2×C42—432no—
453C2×C42—861no—
454C2×C42—861no—
455C2×C42—861no—
456C2×C42—861no—
457C2×C42—861no—
458C2×C42—861no—
459#107—864no—
460#106—864no—
461#104—868no—
462#103—864no—
463#102—864no—
464#95—862no—
465#95—862no—
466#95—1724no—
467C24—861no—
468C24C2×D17211yescharacteristic
469#41—862no—
470#41—862no—
471#41—862no—
472#41—862no—
473#41—862no—
474#41—862no—
475#41—862no—
476#41—862no—
477#41—1721no—
478#41—1721no—
479#41—1721no—
480#41—1721no—
481#41—1721no—
482#41—1721no—
483#41—1721no—
484#41—1721no—
485C2×Q8—432no—
486C2×Q8—861no—
487C2×Q8—861no—
488C2×Q8—861no—
489C2×Q8—861no—
490C2×Q8—861no—
491C2×D4—432no—
492C2×D4—862no—
493C2×D4—862no—
494C2×D4—861no—
495C2×D4—861no—
496C2×D4—861no—
497C2×D4—861no—
498C2×D4—861no—
499C2×D4—1721no—
500C2×D4—1721no—
501C2×D4—1721no—
502C2×D4—1721no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—862no—
509C22×C4—862no—
510C22×C4—862no—
511C22×C4—861no—
512C22×C4—862no—
513C22×C4—862no—
514C22×C4—861no—
515C22×C4—861no—
516C22×C4—862no—
517C22×C4—1722no—
518C22×C4—1722no—
519C22×C4—1721no—
520C22×C4—1721no—
521C22×C4—1721no—
522C22×C4—1721no—
523C22×C4—1721no—
524C22×C4—1721no—
525C22×C4—1721no—
526C22×C4—1721no—
527C22×C4—1721no—
528C22×C4—1721no—
529C22×C4C2×C4×D4311yescharacteristic
530C22×C4C2×D17211yescharacteristic
531C22×C4C2×D17211yescharacteristic
532C22×C4#1062189811yescharacteristic
533C22×C4#1062189811yescharacteristic
534C22×C4D4×D4311yescharacteristic
535C22×C4D4×D4311yescharacteristic
536C22×C4D4×D4311yescharacteristic
537C22×C4#1062190011yescharacteristic
538C22×C4#1062190011yescharacteristic
539C22×C4#1062190011yescharacteristic
540C22×C4Q8×D4311yescharacteristic
541C22×C4#1062190211yescharacteristic
542C22×C4C2×C22⋊D4311yescharacteristic
543M16—22no—
544M16—22no—
545M16—22no—
546M16—22no—
547M16—22no—
548M16—41no—
549M16—41no—
550M16(C2×D43)⋊C414yescomplemented
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—41no—
556C2×C8—41no—
557C4⋊C4—41no—
558C4⋊C4—41no—
559C4⋊C4—41no—
560C4⋊C4—41no—
561C4⋊C4—862no—
562C4⋊C4—861no—
563C4⋊C4—862no—
564C4⋊C4—861no—
565C4⋊C4—861no—
566C4⋊C4—861no—
567C4⋊C4—1721no—
568C4⋊C4—1721no—
569C22⋊C4—3442no—
570C22⋊C4—3442no—
571C22⋊C4—1721no—
572C22⋊C4—1721no—
573C42—862no—
574C42—862no—
575C42—1721no—
576C42—1721no—
577C42—1721no—
578C42—1721no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—862no—
584C23—1721no—
585C23—1721no—
586C23—1721no—
587C23—1721no—
588C23—1721no—
589C23—1721no—
590C23C4×D17211yescharacteristic
591C23#1306329511yescharacteristic
592C23#1306329911yescharacteristic
593C23#1306330011yescharacteristic
594C23#1306330511yescharacteristic
595C23#1306330911yescharacteristic
596C23#1306332211yescharacteristic
597Q8—862no—
598Q8—862no—
599Q8—1721no—
600Q8—1721no—
601D4—862no—
602D4—862no—
603D4—1722no—
604D4—1722no—
605D4—1722no—
606D4—1722no—
607D4—1721no—
608D4—1721no—
609C2×C4—44no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—82no—
614C2×C4—864no—
615C2×C4—862no—
616C2×C4—3442no—
617C2×C4—3441no—
618C2×C4—3441no—
619C2×C4—1724no—
620C2×C4—1721no—
621C2×C4—1721no—
622C2×C4—1722no—
623C2×C4—1721no—
624C2×C4—1721no—
625C2×C4—1721no—
626C2×C4—1721no—
627C2×C4—1722no—
628C2×C4—1722no—
629C2×C4—1722no—
630C2×C4—1722no—
631C2×C4—1722no—
632C2×C4—1722no—
633C2×C4—1721no—
634C2×C4—1721no—
635C2×C4—1722no—
636C2×C4—1722no—
637C2×C4—1722no—
638C2×C4—1722no—
639C2×C4C2×(C2×D43)⋊C411yescharacteristic
640C2×C4C4⋊C4×D4311yescharacteristic
641C2×C4#1306328311yescharacteristic
642C2×C4(C22⋊D43)⋊C411yescharacteristic
643C2×C4(C22⋊D43)⋊C411yescharacteristic
644C2×C4C4×D17211yescharacteristic
645C2×C4#1306329511yescharacteristic
646C2×C4#1306329511yescharacteristic
647C2×C4#1306329611yescharacteristic
648C2×C4#1306329711yescharacteristic
649C2×C4#1306329711yescharacteristic
650C2×C4#1306329911yescharacteristic
651C2×C4#1306330011yescharacteristic
652C2×C4#1306330011yescharacteristic
653C2×C4#1306330111yescharacteristic
654C2×C4#1306330311yescharacteristic
655C2×C4#1306330311yescharacteristic
656C2×C4#1306330511yescharacteristic
657C2×C4#1306330511yescharacteristic
658C2×C4#1306330711yescharacteristic
659C2×C4#1306330711yescharacteristic
660C2×C4#1306330911yescharacteristic
661C2×C4#1306330911yescharacteristic
662C2×C4#1306331111yescharacteristic
663C2×C4#1306331111yescharacteristic
664C2×C4#1306331311yescharacteristic
665C2×C4#1306332011yescharacteristic
666C2×C4#1306332011yescharacteristic
667C8—24no—
668C8—42no—
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—3441no—
682C22—3441no—
683C22—3441no—
684C22—3441no—
685C22—1722no—
686C22—1722no—
687C22—1722no—
688C22#1458277311yescharacteristic
689C22#1458279111yescharacteristic
690C22#1458280111yescharacteristic
691C22#1458280911yescharacteristic
692C22#1458281511yescharacteristic
693C22#1458282111yescharacteristic
694C22#1458283611yescharacteristic
695C22#1458306911yescharacteristic
696C22#1458307411yescharacteristic
697C22#1458307911yescharacteristic
698C22#1458308411yescharacteristic
699C4—82no—
700C4—3442no—
701C4—3441no—
702C4—3441no—
703C4—1724no—
704C4—1722no—
705C4#1458275611yescharacteristic
706C4#1458277311yescharacteristic
707C4#1458277611yescharacteristic
708C4#1458279111yescharacteristic
709C4#1458281211yescharacteristic
710C4#1458281511yescharacteristic
711C4#1458282111yescharacteristic
712C4#1458282611yescharacteristic
713C2—21no—
714C2—21no—
715C2—21no—
716C2—21no—
717C2—3442no—
718C2#1913284111yescharacteristic
719C2#1913482411yescharacteristic
720C2#1913483111yescharacteristic
721C2#1913563911yescharacteristic
722C2#1913564411yescharacteristic
723C2#1913580611yescharacteristic
724C2#1913581311yescharacteristic
subgroupG/H
centerC23#13063295
commutatorC22×C4×C43C22×C4
FrattiniC23×C4C22×D43
FittingC2×C43×#343C2
socleC23×C43#120
prime radicalC22×#10621898C22
cosocleC23×C4×C43C23
hypercenterC2×#343D43
hypocenterC43#11113
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#343

Complements

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

NH ≅ G/Ntype
1. C2×#14582941C2semidirect
5. C2×#14582660C2semidirect
6. #19132824C2semidirect
7. C2×C43×#343C2semidirect
18. C2×#13063251C4semidirect
187. M16×C43C22⋊C4semidirect
355. C2×#343D43semidirect
396. C43#11113semidirect
550. M16(C2×D43)⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×#145829412
C22×#130632512
C2×#145829012
#191371882
C2×#145826602
#191328242
C2×C43×#3432
#1111343