Finite Group Databasebeta

← #33084503

Subgroups — #33084503

Order 18688.

1130 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988688C211yesmaximal, characteristic
2C2×SD16×Dic73C211yesmaximal, characteristic
3#22612296C211yesmaximal, characteristic, complemented
4#22612292C211yesmaximal, characteristic
5#22609830C211yesmaximal, characteristic, complemented
6#22609828C211yesmaximal, characteristic, complemented
7#107×Dic73C211yesmaximal, characteristic, complemented
8#22609763C211yesmaximal, characteristic, complemented
9#22609758C211yesmaximal, characteristic
10#103×Dic73C211yesmaximal, characteristic, complemented
11C4×#14556515C211yesmaximal, characteristic, complemented
12#102×Dic73C211yesmaximal, characteristic
13C4×#14556512C211yesmaximal, characteristic
14#22609619C211yesmaximal, characteristic, complemented
15C2×#440×C73C211yesmaximal, characteristic
16C2×Q8×Dic73C2211yescharacteristic
17C2×Q8×Dic73C2211yescharacteristic
18C2×D4×Dic73C2211yescharacteristic
19C2×D4×Dic73C2211yescharacteristic
20#17988688C418yescomplemented
21SD16×Dic73C418yescomplemented
22C2×#14556525C2211yescharacteristic
23C2×#14556523C2211yescharacteristic
24C2×#14556515C2211yescharacteristic
25C2×#14556515C2211yescharacteristic
26C2×#14556512C2211yescharacteristic
27C2×#14556512C2211yescharacteristic
28C2×#14556501C2211yescharacteristic
29C2×#14556501C2211yescharacteristic
30C2×C4×#10596831C2211yescharacteristic
31C2×C8×Dic73C2211yescharacteristic
32C2×C8×Dic73C2211yescharacteristic
33C4⋊C4×Dic73—21no—
34C4⋊C4×Dic73—21no—
35C4⋊C4×Dic73C2211yescharacteristic
36C4⋊C4×Dic73C2211yescharacteristic
37C4⋊C4×Dic73C2211yescharacteristic
38C4⋊C4×Dic73C2211yescharacteristic
39C4×C4⋊Dic73—21no—
40C4×C4⋊Dic73C2211yescharacteristic
41C4×C4⋊Dic73C2211yescharacteristic
42C22⋊C4×Dic73—21no—
43C22⋊C4×Dic73—21no—
44C4×C22⋊Dic73—21no—
45#17988433—21no—
46#17988433C2211yescharacteristic
47C2×#14556498—21no—
48#17988350C2211yescharacteristic
49#17988350C2211yescharacteristic
50#17988349C2211yescharacteristic
51#17988349C2211yescharacteristic
52#17988349C2211yescharacteristic
53#17988349C2211yescharacteristic
54C22×SD16×C73C2211yescharacteristic
55C2×C4×Q8×C73C2211yescharacteristic
56C2×C4×D4×C73C2211yescharacteristic
57#440×C73C418yescomplemented
58C2×#107×C73C2211yescharacteristic
59C2×#103×C73C2211yescharacteristic
60C2×#102×C73C2211yescharacteristic
61C2×#97×C73C2211yescharacteristic
62C23×Dic73—21no—
63C23×Dic73—21no—
64C22×#10596831C2311yescharacteristic
65C22×#10596831C2311yescharacteristic
66Q8×Dic73—22no—
67Q8×Dic73—22no—
68Q8×Dic73C2×C414yescomplemented
69Q8×Dic73C2×C414yescomplemented
70D4×Dic73—22no—
71D4×Dic73—22no—
72D4×Dic73C2×C414yes—
73D4×Dic73C2×C414yes—
74C2×C4⋊Dic73—21no—
75C2×C4⋊Dic73—21no—
76C2×C4⋊Dic73C2311yescharacteristic
77C2×C4⋊Dic73C2311yescharacteristic
78C2×C4⋊Dic73C2311yescharacteristic
79C2×C4⋊Dic73C2311yescharacteristic
80C2×C22⋊Dic73—21no—
81C2×C22⋊Dic73—21no—
82C2×C4×Dic73—21no—
83C2×C4×Dic73—21no—
84C2×C4×Dic73—21no—
85C2×C4×Dic73—21no—
86C2×C4×Dic73—21no—
87C2×C4×Dic73—21no—
88C2×C4×Dic73—21no—
89C2×C4×Dic73—21no—
90C2×C4×Dic73C2311yescharacteristic
91C2×C4×Dic73C2311yescharacteristic
92#14556525C2×C414yescomplemented
93#14556523C2×C414yescomplemented
94#14556515C2×C414yescomplemented
95#14556515C2×C414yescomplemented
96#14556512C2×C414yes—
97#14556512C2×C414yes—
98#14556501—22no—
99#14556501C2×C414yescomplemented
100C4×#10596831—22no—
101C8×Dic73—22no—
102C8×Dic73C2×C414yescomplemented
103#14556498—21no—
104#14556498—21no—
105#14556498—21no—
106#14556498—21no—
107#14556498—21no—
108#14556498—21no—
109#14556498D411yescharacteristic
110#14556498D411yescharacteristic
111#14556498D411yescharacteristic
112#14556498D411yescharacteristic
113C22×Q8×C73C2311yescharacteristic
114C22×D4×C73C2311yescharacteristic
115C23×C4×C73—21no—
116C2×SD16×C73C2×C414yes—
117C2×SD16×C73C2×C414yes—
118C2×SD16×C73C2×C414yes—
119C22×C8×C73C2311yescharacteristic
120C22×C8×C73C2311yescharacteristic
121C4×Q8×C73—22no—
122C4×Q8×C73C2×C414yescomplemented
123C4×D4×C73—22no—
124C4×D4×C73C2×C414yes—
125C2×C4⋊C4×C73—21no—
126C2×C4⋊C4×C73C2311yescharacteristic
127C2×C4⋊C4×C73C2311yescharacteristic
128C2×C22⋊C4×C73—21no—
129C2×C42×C73—21no—
130C2×C42×C73C2311yescharacteristic
131#107×C73C2×C414yescomplemented
132#103×C73C2×C414yescomplemented
133#102×C73C2×C414yes—
134#97×C73C2×C414yescomplemented
135C22×Dic73—21no—
136C22×Dic73—21no—
137C22×Dic73—21no—
138C22×Dic73—21no—
139C22×Dic73—24no—
140C22×Dic73—24no—
141C22×Dic73—81no—
142C22×Dic73—81no—
143C22×Dic73—81no—
144C22×Dic73—81no—
145C22×Dic73C2×D411yescharacteristic
146C22×Dic73C2×D411yescharacteristic
147C22×Dic73C2×D411yescharacteristic
148C22×Dic73C2×D411yescharacteristic
149C2×#10596831—21no—
150C2×#10596831—21no—
151C2×#10596831—21no—
152C2×#10596831—21no—
153C2×#10596831C22×C412yes—
154C2×#10596831C22×C412yes—
155C4⋊Dic73—21no—
156C4⋊Dic73—21no—
157C4⋊Dic73—21no—
158C4⋊Dic73—21no—
159C4⋊Dic73—24no—
160C4⋊Dic73—24no—
161C4⋊Dic73C22×C412yes—
162C4⋊Dic73C22×C412yes—
163C4⋊Dic73C22×C412yes—
164C4⋊Dic73C22×C412yes—
165C22⋊Dic73—24no—
166C22⋊Dic73—24no—
167C4×Dic73—24no—
168C4×Dic73—24no—
169C4×Dic73—81no—
170C4×Dic73—81no—
171C4×Dic73—81no—
172C4×Dic73—81no—
173C4×Dic73—81no—
174C4×Dic73—81no—
175C4×Dic73C22×C412yes—
176C4×Dic73C22×C412yes—
177C4×Dic73#4112yes—
178C4×Dic73#4112yes—
179C24×C73—21no—
180C2×Q8×C73—21no—
181C2×Q8×C73—21no—
182C2×Q8×C73—21no—
183C2×Q8×C73C22×C412yes—
184C2×Q8×C73C22×C412yes—
185C2×Q8×C73C22×C412yes—
186C2×D4×C73—21no—
187C2×D4×C73—21no—
188C2×D4×C73—21no—
189C2×D4×C73C22×C412yes—
190C2×D4×C73C22×C412yes—
191C2×D4×C73C22×C412yes—
192C22×C4×C73—21no—
193C22×C4×C73—21no—
194C22×C4×C73—21no—
195C22×C4×C73—24no—
196C22×C4×C73—81no—
197C22×C4×C73—81no—
198C22×C4×C73C2×D411yescharacteristic
199C22×C4×C73C2×D411yescharacteristic
200C22×C4×C73C2411yescharacteristic
201SD16×C73C42116yescomplemented
202C2×C8×C73—21no—
203C2×C8×C73—21no—
204C2×C8×C73C22×C412yes—
205C2×C8×C73C22×C412yes—
206C2×C8×C73C22×C412yes—
207C2×C8×C73C22×C412yes—
208C4⋊C4×C73—24no—
209C4⋊C4×C73—21no—
210C4⋊C4×C73—21no—
211C4⋊C4×C73C22×C412yes—
212C4⋊C4×C73C22×C412yes—
213C22⋊C4×C73—24no—
214C42×C73—24no—
215C42×C73C22×C412yes—
216C42×C73#4112yes—
217C23×C73—22no—
218C23×C73—22no—
219C23×C73—22no—
220C23×C73—41no—
221C23×C73—41no—
222C23×C73—41no—
223C23×C73—41no—
224C23×C73C22×D411yescharacteristic
225Q8×C73—22no—
226Q8×C73—22no—
227Q8×C73—22no—
228Q8×C73C2×C4214yes—
229D4×C73—22no—
230D4×C73—22no—
231D4×C73—22no—
232D4×C73C2×C4214yes—
233C2×C4×C73—22no—
234C2×C4×C73—22no—
235C2×C4×C73—22no—
236C2×C4×C73—21no—
237C2×C4×C73—21no—
238C2×C4×C73—21no—
239C2×C4×C73—21no—
240C2×C4×C73—22no—
241C2×C4×C73—22no—
242C2×C4×C73—41no—
243C2×C4×C73—41no—
244C2×C4×C73—41no—
245C2×C4×C73—41no—
246C2×C4×C73—84no—
247C2×C4×C73C4×D412yes—
248C2×C4×C73C4×D412yes—
249C2×C4×C73C23×C411yescharacteristic
250C2×C4×C73C23×C411yescharacteristic
251C2×C4×C73C23×C411yescharacteristic
252C2×C4×C73C2×#4111yescharacteristic
253C2×C4×C73C2×#4111yescharacteristic
254C2×C4×C73C2×#4111yescharacteristic
255C2×Dic73—21no—
256C2×Dic73—21no—
257C2×Dic73—21no—
258C2×Dic73—21no—
259C2×Dic73—21no—
260C2×Dic73—21no—
261C2×Dic73—21no—
262C2×Dic73—21no—
263C2×Dic73—22no—
264C2×Dic73—22no—
265C2×Dic73—22no—
266C2×Dic73—22no—
267C2×Dic73—41no—
268C2×Dic73—41no—
269C2×Dic73—41no—
270C2×Dic73—41no—
271C2×Dic73—41no—
272C2×Dic73—41no—
273C2×Dic73—41no—
274C2×Dic73—41no—
275C2×Dic73—84no—
276C2×Dic73—84no—
277C2×Dic73C4×D412yes—
278C2×Dic73C4×D412yes—
279C2×Dic73C4×D412yes—
280C2×Dic73C4×D412yes—
281C8×C73—22no—
282C8×C73C2×C4214yes—
283#10596831—22no—
284#10596831—22no—
285C22×C73—24no—
286C22×C73—42no—
287C22×C73—42no—
288C22×C73—42no—
289C22×C73—42no—
290C22×C73—42no—
291C22×C73—42no—
292C22×C73C2×C4×D411yescharacteristic
293C22×C73C2×C4×D411yescharacteristic
294C22×C73C2×C4×D411yescharacteristic
295C22×C73#57611yescharacteristic
296C22×C73#57711yescharacteristic
297C22×C73#57711yescharacteristic
298C22×C73#57811yescharacteristic
299C4×C73—22no—
300C4×C73—22no—
301C4×C73—24no—
302C4×C73—42no—
303C4×C73—42no—
304C4×C73C22×C4211yescharacteristic
305C4×C73C4×#4111yescharacteristic
306C4×C73C4×#4111yescharacteristic
307C4×C73C4×#4111yescharacteristic
308Dic73—22no—
309Dic73—22no—
310Dic73—22no—
311Dic73—22no—
312Dic73—42no—
313Dic73—42no—
314Dic73—42no—
315Dic73—42no—
316#20504—731nomaximal, Sylow
317C2×C73—44no—
318C2×C73C42×D411yescharacteristic
319C2×C73#294611yescharacteristic
320C2×C73#294611yescharacteristic
321C2×C73#294711yescharacteristic
322C2×C73#294711yescharacteristic
323C2×C73#294911yescharacteristic
324C2×C73#295111yescharacteristic
325C2×#440—731no—
326C2×#440D7311yescharacteristic
327C2×C4×SD16—731no—
328#2276—731no—
329#2275—731no—
330#1776—731no—
331#1776—731no—
332C4×#107—731no—
333#1763—731no—
334#1762—731no—
335C4×#103—731no—
336C4×#103—731no—
337C4×#102—731no—
338C4×#102—731no—
339#1726—731no—
340C73#2050411yescharacteristic, complemented, Sylow
341C22×SD16C2×D7311yescharacteristic
342C2×C4×Q8—731no—
343C2×C4×Q8—731no—
344C2×C4×Q8C2×D7311yescharacteristic
345C2×C4×D4—731no—
346C2×C4×D4—731no—
347C2×C4×D4C2×D7311yescharacteristic
348#440—738no—
349#440Dic7318yescomplemented
350C4×SD16—738no—
351C2×#107—731no—
352C2×#107C2×D7311yescharacteristic
353C2×#106—731no—
354C2×#103—731no—
355C2×#103—731no—
356C2×#103C2×D7311yescharacteristic
357C2×#102—731no—
358C2×#102—731no—
359C2×#102C2×D7311yescharacteristic
360C2×#97—731no—
361C2×#97—731no—
362C2×#97C2×D7311yescharacteristic
363C2×C4×C8—731no—
364C2×C4×C8—731no—
365C2×C4×C8—731no—
366C4×C4⋊C4—731no—
367C4×C4⋊C4—731no—
368C4×C4⋊C4—731no—
369C4×C4⋊C4—731no—
370C4×C4⋊C4—731no—
371C4×C4⋊C4—731no—
372C4×C4⋊C4—1461no—
373C4×C4⋊C4—1461no—
374C4×C4⋊C4—1461no—
375C4×C22⋊C4—1461no—
376C4×C22⋊C4—1461no—
377C4×C22⋊C4—1461no—
378#376—731no—
379#376—1461no—
380C2×#95—1461no—
381#340—731no—
382#340—731no—
383#340—731no—
384#340—731no—
385#340—731no—
386#340—731no—
387C22×Q8C22×D7311yescharacteristic
388C22×D4C22×D7311yescharacteristic
389C23×C4—21no—
390C23×C4—1461no—
391C23×C4—1461no—
392C2×SD16C4×D7314yes—
393C2×SD16C4×D7314yes—
394C2×SD16C2×Dic7314yes—
395C22×C8—731no—
396C22×C8—731no—
397C22×C8C22×D7311yescharacteristic
398C22×C8C22×D7311yescharacteristic
399C4×Q8—22no—
400C4×Q8—734no—
401C4×Q8—734no—
402C4×Q8—1462no—
403C4×Q8—1462no—
404C4×Q8C2×Dic7314yescomplemented
405C4×D4—22no—
406C4×D4—734no—
407C4×D4—734no—
408C4×D4—1462no—
409C4×D4—1462no—
410C4×D4C2×Dic7314yes—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—731no—
413C2×C4⋊C4—731no—
414C2×C4⋊C4—731no—
415C2×C4⋊C4—731no—
416C2×C4⋊C4—1461no—
417C2×C4⋊C4—1461no—
418C2×C4⋊C4C22×D7311yescharacteristic
419C2×C4⋊C4C22×D7311yescharacteristic
420C2×C22⋊C4—21no—
421C2×C22⋊C4—1461no—
422C2×C22⋊C4—1461no—
423C2×C42—21no—
424C2×C42—731no—
425C2×C42—731no—
426C2×C42—1461no—
427C2×C42—1461no—
428C2×C42—1461no—
429C2×C42—1461no—
430C2×C42—1461no—
431C2×C42—1461no—
432C2×C42—1461no—
433C2×C42—1461no—
434C2×C42C22×D7311yescharacteristic
435#107—734no—
436#107C2×Dic7314yescomplemented
437#106—734no—
438#103—734no—
439#103—734no—
440#103C2×Dic7314yescomplemented
441#102—734no—
442#102—734no—
443#102C2×Dic7314yes—
444#97—734no—
445#97—1462no—
446#97C2×Dic7314yescomplemented
447C4×C8—734no—
448C4×C8—1462no—
449C4×C8—1462no—
450#95—731no—
451#95—731no—
452#95—731no—
453#95—731no—
454#95—1461no—
455#95—1461no—
456#95—1461no—
457#95—1461no—
458#95—1461no—
459#95—1461no—
460C24—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8C2×C4×D7312yes—
465C2×Q8C2×C4×D7312yes—
466C2×Q8C22×Dic7312yes—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4C2×C4×D7312yes—
471C2×D4C2×C4×D7312yes—
472C2×D4C22×Dic7312yes—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—24no—
477C22×C4—81no—
478C22×C4—81no—
479C22×C4—5841no—
480C22×C4—5841no—
481C22×C4—5841no—
482C22×C4—5841no—
483C22×C4—731no—
484C22×C4—731no—
485C22×C4—731no—
486C22×C4—731no—
487C22×C4—1461no—
488C22×C4—1461no—
489C22×C4—1461no—
490C22×C4—1461no—
491C22×C4—1464no—
492C22×C4—1464no—
493C22×C4D4×D7311yescharacteristic
494C22×C4D4×D7311yescharacteristic
495C22×C4C23×D7311yescharacteristic
496SD16C4×Dic73116yescomplemented
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—732no—
500C2×C8—732no—
501C2×C8—1461no—
502C2×C8—1461no—
503C2×C8—1461no—
504C2×C8—1461no—
505C2×C8C2×C4×D7312yes—
506C2×C8C2×C4×D7312yes—
507C2×C8C22×Dic7312yes—
508C2×C8C22×Dic7312yes—
509C4⋊C4—24no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—732no—
513C4⋊C4—732no—
514C4⋊C4—732no—
515C4⋊C4—732no—
516C4⋊C4—1464no—
517C4⋊C4—1464no—
518C4⋊C4—1461no—
519C4⋊C4—1461no—
520C4⋊C4—1461no—
521C4⋊C4—1461no—
522C4⋊C4C22×Dic7312yes—
523C4⋊C4C22×Dic7312yes—
524C22⋊C4—24no—
525C22⋊C4—1464no—
526C22⋊C4—1464no—
527C42—24no—
528C42—5841no—
529C42—5841no—
530C42—5841no—
531C42—5841no—
532C42—5841no—
533C42—5841no—
534C42—732no—
535C42—732no—
536C42—732no—
537C42—732no—
538C42—1464no—
539C42—1464no—
540C42C22×Dic7312yes—
541C42#1192402712yes—
542C23—22no—
543C23—22no—
544C23—22no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23C2×D4×D7311yescharacteristic
550Q8—22no—
551Q8—22no—
552Q8—22no—
553Q8C2×C4×Dic7314yes—
554D4—22no—
555D4—22no—
556D4—22no—
557D4C2×C4×Dic7314yes—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—84no—
572C2×C4—2921no—
573C2×C4—2921no—
574C2×C4—2921no—
575C2×C4—2921no—
576C2×C4—2921no—
577C2×C4—2921no—
578C2×C4—2921no—
579C2×C4—2921no—
580C2×C4—5844no—
581C2×C4—5844no—
582C2×C4—732no—
583C2×C4—732no—
584C2×C4—732no—
585C2×C4—732no—
586C2×C4—1462no—
587C2×C4—1462no—
588C2×C4—1462no—
589C2×C4—1462no—
590C2×C4—1461no—
591C2×C4—1461no—
592C2×C4—1461no—
593C2×C4—1461no—
594C2×C4—1461no—
595C2×C4—1461no—
596C2×C4—1461no—
597C2×C4—1461no—
598C2×C4D4×Dic7312yes—
599C2×C4D4×Dic7312yes—
600C2×C4C22×C4×D7311yescharacteristic
601C2×C4C22×C4×D7311yescharacteristic
602C2×C4C23×Dic7311yescharacteristic
603C2×C4#41×D7311yescharacteristic
604C2×C4#41×D7311yescharacteristic
605C2×C4C2×#1192402711yescharacteristic
606C8—22no—
607C8—1462no—
608C8—1462no—
609C8C2×C4×Dic7314yes—
610C22—24no—
611C22—42no—
612C22—42no—
613C22—42no—
614C22—42no—
615C22—42no—
616C22—42no—
617C22C4×D4×D7311yescharacteristic
618C22C4×D4×D7311yescharacteristic
619C22C2×D4×Dic7311yescharacteristic
620C22#1798939111yescharacteristic
621C22#1798939611yescharacteristic
622C22#1798939711yescharacteristic
623C22#1798940311yescharacteristic
624C4—24no—
625C4—22no—
626C4—22no—
627C4—42no—
628C4—42no—
629C4—2922no—
630C4—2922no—
631C4—2922no—
632C4—2922no—
633C4—1462no—
634C4—1462no—
635C4—1462no—
636C4—1462no—
637C4C22×C4×Dic7311yescharacteristic
638C4C4×#1192402711yescharacteristic
639C4C4×#1192402711yescharacteristic
640C4#41×Dic7311yescharacteristic
641C2—44no—
642C2C4×D4×Dic7311yescharacteristic
643C2#2261876211yescharacteristic
644C2#2261876411yescharacteristic
645C2#2261877111yescharacteristic
646C2#2261877511yescharacteristic
647C2#2261878711yescharacteristic
648C2#2261880311yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutatorC4×C73C22×C42
FrattiniC22×C4C23×D73
FittingC2×#440×C73C2
socleC23×C73C22×D4
prime radicalC22×D4×C73C23
cosocleC22×C4×C73C24
hypercenterC2×#440D73
hypocenterC73#20504
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
3. #22612296C2semidirect
5. #22609830C2semidirect
6. #22609828C2semidirect
7. #107×Dic73C2semidirect
8. #22609763C2semidirect
10. #103×Dic73C2semidirect
11. C4×#14556515C2semidirect
14. #22609619C2semidirect
20. #17988688C4semidirect
21. SD16×Dic73C4semidirect
57. #440×C73C4semidirect
68. Q8×Dic73C2×C4semidirect
69. Q8×Dic73C2×C4semidirect
92. #14556525C2×C4semidirect
93. #14556523C2×C4semidirect
94. #14556515C2×C4semidirect
95. #14556515C2×C4semidirect
99. #14556501C2×C4semidirect
102. C8×Dic73C2×C4semidirect
122. C4×Q8×C73C2×C4semidirect
131. #107×C73C2×C4semidirect
132. #103×C73C2×C4semidirect
134. #97×C73C2×C4semidirect
201. SD16×C73C42semidirect
340. C73#20504semidirect
349. #440Dic73semidirect
404. C4×Q8C2×Dic73semidirect
436. #107C2×Dic73semidirect
440. #103C2×Dic73semidirect
446. #97C2×Dic73semidirect
496. SD16C4×Dic73semidirect

Maximal subgroups

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

subgroupindex
C2×#179886882
C2×SD16×Dic732
#226122962
#226122922
#226098302
#226098282
#107×Dic732
#226097632
#226097582
#103×Dic732
C4×#145565152
#102×Dic732
C4×#145565122
#226096192
C2×#440×C732
#2050473