Finite Group Databasebeta

← #25116934

Subgroups — #25116934

Order 11008.

1086 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
1C2×#14583057C211yesmaximal, characteristic
2C2×#14583007C211yesmaximal, characteristic, complemented
3C22×#13063250C211yesmaximal, characteristic
4#19137598C211yesmaximal, characteristic
5C22⋊C4×Dic86C211yesmaximal, characteristic
6#19135466C211yesmaximal, characteristic, complemented
7#19135285C211yesmaximal, characteristic, complemented
8#19135230C211yesmaximal, characteristic, complemented
9#19135018C211yesmaximal, characteristic
10#19134935C211yesmaximal, characteristic, complemented
11#19134935C211yesmaximal, characteristic, complemented
12#19134866C211yesmaximal, characteristic, complemented
13#19134790C211yesmaximal, characteristic
14#19134426C211yesmaximal, characteristic, complemented
15C43×#1752C211yesmaximal, characteristic
16C23×Dic86C2211yescharacteristic
17C22×Dic172C2211yescharacteristic
18C22×Dic172C2211yescharacteristic
19C2×#13063304C2211yescharacteristic
20C2×C4×Dic86C2211yescharacteristic
21C2×C4×Dic86C2211yescharacteristic
22C2×C4×Dic86C2211yescharacteristic
23C22×C4⋊Dic43C2211yescharacteristic
24#14583057C418yescomplemented
25#14583007—24no—
26C2×#13063257C2211yescharacteristic
27C2×#13063257C2211yescharacteristic
28C2×#13063250—24no—
29C2×#13063250C2211yescharacteristic
30C2×#13063250C2211yescharacteristic
31C2×#13063250C2211yescharacteristic
32C2×#13063250C2211yescharacteristic
33C2×#13063250C2211yescharacteristic
34C2×#13063250C2211yescharacteristic
35C2×#13063250C2211yescharacteristic
36C2×#13063250C2211yescharacteristic
37#14582805C2211yescharacteristic
38#14582805C2211yescharacteristic
39#14582805C2211yescharacteristic
40#14582803—21no—
41#14582803—21no—
42#14582797C2211yescharacteristic
43#14582796—21no—
44#14582786—21no—
45#14582771—21no—
46#14582759C2211yescharacteristic
47#14582757—21no—
48C4×C4⋊Dic43C2211yescharacteristic
49C22⋊C4×Dic43—21no—
50C22⋊C4×Dic43—21no—
51#14582662C2211yescharacteristic
52#14582662C2211yescharacteristic
53#14582662C2211yescharacteristic
54#14582662C2211yescharacteristic
55C23×C8×C43C2211yescharacteristic
56C2×C22⋊C8×C43C2211yescharacteristic
57C2×#97×C43C2211yescharacteristic
58C2×#97×C43C2211yescharacteristic
59C4×C22⋊C4×C43C2211yescharacteristic
60C43×#336C2211yescharacteristic
61C43×#336C2211yescharacteristic
62C22×Dic86—22no—
63C22×Dic86—22no—
64C22×Dic86—21no—
65C22×Dic86—22no—
66C22×Dic86—41no—
67C22×Dic86—41no—
68C22×Dic86C2×C414yes—
69C22×Dic86C2311yescharacteristic
70C22×Dic86C2311yescharacteristic
71C22×Dic86C2311yescharacteristic
72C23×Dic43—21no—
73C23×Dic43—21no—
74C2×Dic172—22no—
75C2×Dic172—22no—
76C2×Dic172—41no—
77C2×Dic172—41no—
78C2×Dic172C2×C414yescomplemented
79C2×Dic172C2×C414yescomplemented
80#13063304—22no—
81#13063304C2×C414yes—
82C4×Dic86—22no—
83C4×Dic86—22no—
84C4×Dic86—22no—
85C4×Dic86—41no—
86C4×Dic86—41no—
87C4×Dic86—41no—
88C2×C4⋊Dic43—22no—
89C2×C4⋊Dic43—21no—
90C2×C4⋊Dic43—41no—
91C2×C4⋊Dic43C2311yescharacteristic
92C2×C4⋊Dic43C2311yescharacteristic
93C2×C4⋊Dic43C2311yescharacteristic
94C2×C4⋊Dic43C2311yescharacteristic
95C2×C4⋊Dic43C2311yescharacteristic
96C2×Dic43⋊C4—21no—
97C2×Dic43⋊C4—21no—
98C2×Dic43⋊C4—21no—
99C2×Dic43⋊C4—21no—
100C2×Dic43⋊C4—21no—
101C2×C22⋊Dic43—21no—
102C2×C22⋊Dic43—21no—
103C2×C4×Dic43—21no—
104C2×C4×Dic43—21no—
105C2×C4×Dic43—21no—
106C2×C4×Dic43—21no—
107#13063257—22no—
108#13063257—41no—
109#13063250—22no—
110#13063250—22no—
111#13063250—22no—
112#13063250—22no—
113#13063250—41no—
114#13063250C2×C414yescomplemented
115#13063250C2×C414yescomplemented
116#13063250D414yes—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95—21no—
123C43⋊#95—21no—
124C43⋊#95—21no—
125C43⋊#95—21no—
126C23×C4×C43C2311yescharacteristic
127C22×C8×C43—22no—
128C22×C8×C43—22no—
129C22×C8×C43—41no—
130C22×C8×C43C2311yescharacteristic
131C22×C8×C43C2311yescharacteristic
132C22×C8×C43C2311yescharacteristic
133C22×C8×C43C2311yescharacteristic
134C2×C22⋊C4×C43D411yescharacteristic
135C2×C22⋊C4×C43D411yescharacteristic
136C2×C42×C43C2311yescharacteristic
137C2×C42×C43C2311yescharacteristic
138C22⋊C8×C43C2×C414yes—
139#97×C43—22no—
140#97×C43—41no—
141#95×C43D411yescharacteristic
142#95×C43D411yescharacteristic
143C24×C43C2×D411yescharacteristic
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43C22×C412yes—
149C22×C4×C43C2×D411yescharacteristic
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43C2×D411yescharacteristic
152C22×C4×C43C2×D411yescharacteristic
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43#4112yes—
155C22×C4×C43C2411yescharacteristic
156C22×Dic43—24no—
157C22×Dic43—21no—
158C22×Dic43—21no—
159C22×Dic43—21no—
160C22×Dic43—21no—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43—42no—
166C22×Dic43—42no—
167C22×Dic43—42no—
168C22×Dic43—42no—
169C22×Dic43—81no—
170C2×Dic86—21no—
171C2×Dic86—21no—
172C2×Dic86—21no—
173C2×Dic86—21no—
174C2×Dic86—21no—
175C2×Dic86—21no—
176C2×Dic86—21no—
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86—21no—
180C2×Dic86—21no—
181C2×Dic86—28no—
182C2×Dic86—24no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—44no—
186C2×Dic86—44no—
187C2×Dic86—44no—
188C2×Dic86—42no—
189C2×Dic86—42no—
190C2×Dic86C22×C412yes—
191C2×Dic86C22×C412yes—
192C2×Dic86C22×C412yes—
193C2×Dic86C2×D412yes—
194C2×Dic86#4112yes—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43—21no—
201C2×C8×C43—21no—
202C2×C8×C43—21no—
203C2×C8×C43—21no—
204C2×C8×C43—44no—
205C2×C8×C43C22×C412yes—
206C2×C8×C43C22×C412yes—
207C2×C8×C43C2×D412yes—
208C22⋊C4×C43—22no—
209C22⋊C4×C43—22no—
210C42×C43—21no—
211C42×C43—21no—
212C42×C43—21no—
213C42×C43—21no—
214C22⋊Dic43—24no—
215C22⋊Dic43—42no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—21no—
223C4⋊Dic43—21no—
224C4⋊Dic43—42no—
225C4⋊Dic43C22×C412yes—
226C4⋊Dic43C2×D412yes—
227Dic43⋊C4—24no—
228Dic43⋊C4—42no—
229Dic43⋊C4—42no—
230Dic43⋊C4—42no—
231Dic43⋊C4—81no—
232C4×Dic43—42no—
233C4×Dic43—42no—
234C4×Dic43—42no—
235C4×Dic43—81no—
236Dic172—28no—
237Dic172—44no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43—21no—
242C23×C43C4×D412yes—
243C23×C43#13712yes—
244C23×C43#13712yes—
245C23×C43C22×D411yescharacteristic
246C2×C4×C43—21no—
247C2×C4×C43—21no—
248C2×C4×C43—22no—
249C2×C4×C43—22no—
250C2×C4×C43—22no—
251C2×C4×C43—22no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43C4×D412yes—
265C2×C4×C43C23×C411yescharacteristic
266C2×C4×C43C22×D411yescharacteristic
267C2×C4×C43C2×#4111yescharacteristic
268C2×C4×C43C2×#4111yescharacteristic
269C2×C4×C43H(5,𝔽2)11yescharacteristic
270C2×C4×C43H(5,𝔽2)11yescharacteristic
271C2×Dic43—22no—
272C2×Dic43—22no—
273C2×Dic43—22no—
274C2×Dic43—22no—
275C2×Dic43—22no—
276C2×Dic43—22no—
277C2×Dic43—22no—
278C2×Dic43—48no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—84no—
297Dic86—22no—
298Dic86—22no—
299Dic86—22no—
300Dic86—22no—
301Dic86—22no—
302Dic86—22no—
303Dic86—22no—
304Dic86—48no—
305Dic86—41no—
306Dic86—41no—
307Dic86—41no—
308Dic86—41no—
309Dic86C4×D414yes—
310C8×C43—22no—
311C8×C43—22no—
312C8×C43—22no—
313C8×C43—41no—
314#22859—431nomaximal, Sylow
315C22×C43—22no—
316C22×C43—22no—
317C22×C43—22no—
318C22×C43—22no—
319C22×C43—22no—
320C22×C43—22no—
321C22×C43#44114yescomplemented
322C22×C43C2×C4×D411yescharacteristic
323C22×C43D4211yescharacteristic
324C22×C43#54611yescharacteristic
325C22×C43C2×#13711yescharacteristic
326C22×C43C2×#13711yescharacteristic
327C22×C43#57711yescharacteristic
328C22×C43#57811yescharacteristic
329C4×C43—22no—
330C4×C43—41no—
331C4×C43—41no—
332C4×C43—41no—
333C4×C43—41no—
334C4×C43C2×C4×D411yescharacteristic
335C4×C43#51811yescharacteristic
336C4×C43#54611yescharacteristic
337C4×C43#55111yescharacteristic
338Dic43—24no—
339Dic43—42no—
340Dic43—42no—
341Dic43—42no—
342Dic43—42no—
343Dic43—81no—
344Dic43—81no—
345Dic43—81no—
346C2×#451—431no—
347C2×#441—431no—
348C22×#103—431no—
349#2360—431no—
350Q8×C22⋊C4—431no—
351#1971—431no—
352#1935—431no—
353#1927—431no—
354#1892—431no—
355#1878—431no—
356#1878—431no—
357#1865—431no—
358#1853—431no—
359#1763—431no—
360#1752D4311yescharacteristic
361C2×C43—24no—
362C2×C43#235811yescharacteristic
363C2×C43C2×#44111yescharacteristic
364C2×C43#294711yescharacteristic
365C2×C43#326611yescharacteristic
366C2×C43#327011yescharacteristic
367C2×C43#331211yescharacteristic
368C2×C43#331611yescharacteristic
369C23×Q8—431no—
370C22×Q16—431no—
371C22×Q16—431no—
372C23×C8C2×D4311yescharacteristic
373C2×C22⋊Q8—431no—
374C2×C4×Q8—431no—
375C2×C4×Q8—431no—
376C2×C4×Q8—431no—
377C22×C4⋊C4—431no—
378#451—438no—
379#441—864no—
380C2×#106—431no—
381C2×#106—431no—
382C2×#103—431no—
383C2×#103—431no—
384C2×#103—431no—
385C2×#103—431no—
386C2×#103—431no—
387C2×#103—431no—
388C2×#103—431no—
389C2×#103—431no—
390C2×#103—864no—
391C2×C22⋊C8C2×D4311yescharacteristic
392C2×#97C2×D4311yescharacteristic
393C2×#97C2×D4311yescharacteristic
394#391—431no—
395#391—431no—
396#391—431no—
397#391—861no—
398#391—861no—
399#389—431no—
400#389—861no—
401#387—861no—
402#385—861no—
403#380—431no—
404#380—861no—
405C4×C4⋊C4—431no—
406C4×C22⋊C4—861no—
407C4×C22⋊C4—861no—
408C4×C22⋊C4C2×D4311yescharacteristic
409#340—431no—
410#340—431no—
411#340—431no—
412#340—431no—
413#336C2×D4311yescharacteristic
414#336C2×D4311yescharacteristic
415C43#2285911yescharacteristic, complemented, Sylow
416C22×Q8—434no—
417C22×Q8—431no—
418C22×Q8—431no—
419C22×Q8—431no—
420C22×Q8—862no—
421C22×Q8—862no—
422C22×Q8—861no—
423C22×Q8—862no—
424C22×Q8—1721no—
425C22×Q8—1721no—
426C23×C4—861no—
427C23×C4—861no—
428C23×C4C22×D4311yescharacteristic
429C2×Q16—434no—
430C2×Q16—434no—
431C2×Q16—862no—
432C2×Q16—862no—
433C2×Q16—1721no—
434C2×Q16—1721no—
435C22×C8—22no—
436C22×C8—22no—
437C22×C8—41no—
438C22×C8C22×D4311yescharacteristic
439C22×C8C22×D4311yescharacteristic
440C22×C8C22×D4311yescharacteristic
441C22×C8C22×D4311yescharacteristic
442C22⋊Q8—434no—
443C22⋊Q8—862no—
444C4×Q8—862no—
445C4×Q8—862no—
446C4×Q8—862no—
447C4×Q8—1721no—
448C4×Q8—1721no—
449C4×Q8—1721no—
450C2×C4⋊C4—431no—
451C2×C4⋊C4—431no—
452C2×C4⋊C4—431no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—862no—
456C2×C4⋊C4—861no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4—861no—
459C2×C4⋊C4—861no—
460C2×C4⋊C4—861no—
461C2×C4⋊C4—861no—
462C2×C4⋊C4—1721no—
463C2×C22⋊C4—861no—
464C2×C22⋊C4—861no—
465C2×C22⋊C4D17211yescharacteristic
466C2×C22⋊C4D17211yescharacteristic
467C2×C42—861no—
468C2×C42—861no—
469C2×C42—861no—
470C2×C42—861no—
471C2×C42C22×D4311yescharacteristic
472C2×C42C22×D4311yescharacteristic
473#106—862no—
474#106—1721no—
475#103—434no—
476#103—434no—
477#103—434no—
478#103—862no—
479#103—862no—
480#103—862no—
481#103—862no—
482#103—1721no—
483C22⋊C8C4×D4314yes—
484#97—22no—
485#97—41no—
486#95—861no—
487#95—861no—
488#95—861no—
489#95—861no—
490#95—861no—
491#95—861no—
492#95—861no—
493#95—861no—
494#95—861no—
495#95D17211yescharacteristic
496#95D17211yescharacteristic
497C24C2×D17211yescharacteristic
498C2×Q8—432no—
499C2×Q8—432no—
500C2×Q8—432no—
501C2×Q8—432no—
502C2×Q8—432no—
503C2×Q8—868no—
504C2×Q8—864no—
505C2×Q8—861no—
506C2×Q8—861no—
507C2×Q8—861no—
508C2×Q8—861no—
509C2×Q8—861no—
510C2×Q8—861no—
511C2×Q8—861no—
512C2×Q8—861no—
513C2×Q8—861no—
514C2×Q8—861no—
515C2×Q8—861no—
516C2×Q8—861no—
517C2×Q8—861no—
518C2×Q8—1722no—
519C2×Q8—1722no—
520C2×Q8—1724no—
521C2×Q8—1724no—
522C2×Q8—1724no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—861no—
528C22×C4—864no—
529C22×C4—861no—
530C22×C4—861no—
531C22×C4—861no—
532C22×C4—861no—
533C22×C4—861no—
534C22×C4—861no—
535C22×C4—861no—
536C22×C4—3441no—
537C22×C4—1722no—
538C22×C4—1722no—
539C22×C4—1722no—
540C22×C4—1722no—
541C22×C4C2×C4×D4312yes—
542C22×C4C2×D17211yescharacteristic
543C22×C4C2×D17211yescharacteristic
544C22×C4C2×D17211yescharacteristic
545C22×C4C2×D17211yescharacteristic
546C22×C4C2×D17211yescharacteristic
547C22×C4#1062189812yes—
548C22×C4C23×D4311yescharacteristic
549Q16—868no—
550Q16—1724no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—44no—
561C2×C8C2×C4×D4312yes—
562C2×C8C2×C4×D4312yes—
563C2×C8D4×D4312yes—
564C4⋊C4—432no—
565C4⋊C4—432no—
566C4⋊C4—864no—
567C4⋊C4—861no—
568C4⋊C4—861no—
569C4⋊C4—861no—
570C4⋊C4—861no—
571C4⋊C4—861no—
572C4⋊C4—861no—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—3441no—
576C4⋊C4—1722no—
577C4⋊C4—1722no—
578C4⋊C4—1722no—
579C4⋊C4—1722no—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—864no—
583C22⋊C4—1722no—
584C42—21no—
585C42—21no—
586C42—21no—
587C42—21no—
588C42—3441no—
589C42—1722no—
590C42—1722no—
591C42—1722no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23C4×D17212yes—
597C23#1306335812yes—
598C23#1306335812yes—
599C23C22×D17211yescharacteristic
600Q8—434no—
601Q8—862no—
602Q8—862no—
603Q8—862no—
604Q8—862no—
605Q8—862no—
606Q8—862no—
607Q8—862no—
608Q8—1728no—
609Q8—1721no—
610Q8—1721no—
611Q8—1721no—
612Q8—1721no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—862no—
632C2×C4—862no—
633C2×C4—862no—
634C2×C4—862no—
635C2×C4—862no—
636C2×C4—862no—
637C2×C4—862no—
638C2×C4—3444no—
639C2×C4—1728no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4—1721no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4C4×D17212yes—
658C2×C4C22×C4×D4311yescharacteristic
659C2×C4C2×D4×D4311yescharacteristic
660C2×C4#41×D4311yescharacteristic
661C2×C4C2×#1062189811yescharacteristic
662C2×C4#1306337011yescharacteristic
663C2×C4#1306337111yescharacteristic
664C8—22no—
665C8—22no—
666C8—22no—
667C8—41no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22#1458300714yescomplemented
675C22C2×C4×D17211yescharacteristic
676C22D4×D17211yescharacteristic
677C22#1458354411yescharacteristic
678C22C2×#1306335811yescharacteristic
679C22C2×#1306335811yescharacteristic
680C22#1458371111yescharacteristic
681C22#1458371611yescharacteristic
682C4—22no—
683C4—41no—
684C4—41no—
685C4—41no—
686C4—41no—
687C4—864no—
688C4—3441no—
689C4—3441no—
690C4—3441no—
691C4—1722no—
692C4—1722no—
693C4—1722no—
694C4—1722no—
695C4C4×D4×D4311yescharacteristic
696C4#1458337111yescharacteristic
697C4#1458353911yescharacteristic
698C4#1458357311yescharacteristic
699C2—24no—
700C2#1913757711yescharacteristic
701C2C2×#1458300711yescharacteristic
702C2#1914344011yescharacteristic
703C2#1914611011yescharacteristic
704C2#1914617011yescharacteristic
705C2#1914664811yescharacteristic
706C2#1914670811yescharacteristic
subgroupG/H
centerC23C22×D172
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1752C2
socleC23×C43C22×D4
prime radicalC24×C43C2×D4
cosocleC22×C4×C43C24
hypercenter#1752D43
hypocenterC43#22859
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #1752

Complements

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

NH ≅ G/Ntype
2. C2×#14583007C2semidirect
6. #19135466C2semidirect
7. #19135285C2semidirect
8. #19135230C2semidirect
10. #19134935C2semidirect
11. #19134935C2semidirect
12. #19134866C2semidirect
14. #19134426C2semidirect
24. #14583057C4semidirect
78. C2×Dic172C2×C4semidirect
79. C2×Dic172C2×C4semidirect
114. #13063250C2×C4semidirect
115. #13063250C2×C4semidirect
321. C22×C43#441semidirect
415. C43#22859semidirect
674. C22#14583007semidirect

Maximal subgroups

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

subgroupindex
C2×#145830572
C2×#145830072
C22×#130632502
#191375982
C22⋊C4×Dic862
#191354662
#191352852
#191352302
#191350182
#191349352
#191348662
#191347902
#191344262
C43×#17522
#2285943