Finite Group Databasebeta

← #33966715

Subgroups — #33966715

Order 18688.

1742 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623736C211yesmaximal, characteristic, complemented
2#22623732C211yesmaximal, characteristic
3#22622875C214yesmaximal, complemented
4#22622871C214yesmaximal, complemented
5#22622849C214yesmaximal, complemented
6#22622838C214yesmaximal, complemented
7#22620471C212yesmaximal, complemented
8#22619776C212yesmaximal, complemented
9#22619765C212yesmaximal
10#22619732C211yesmaximal, characteristic, complemented
11#22619724C211yesmaximal, characteristic
12#22618871C211yesmaximal, characteristic, complemented
13#22618789C212yesmaximal
14C2×#17988689C211yesmaximal, characteristic
15C73×#3162C211yesmaximal, characteristic, complemented
16C22×#11924017C2211yescharacteristic
17Q8×Dic146—21no—
18#17989317C2212yescomplemented
19#17989315—21no—
20#17989315—22no—
21#17989314C2214yescomplemented
22#17989312C2212yescomplemented
23#17989298C2212yes—
24#17989297—21no—
25#17989297—22no—
26#17989293C2214yes—
27Q8×D292—21no—
28#17989252C2212yes—
29#17989216—22no—
30#17989215C2212yes—
31#17989215C2212yes—
32#17989212—22no—
33#17989144C2211yescharacteristic
34#17989139—22no—
35C22⋊Q8×D73—22no—
36#17989064C2212yes—
37#17989061C2212yes—
38C2×C4×Dic146C2211yescharacteristic
39C2×C4×D292C2211yescharacteristic
40#17988994C2214yescomplemented
41#17988994C2214yescomplemented
42#17988991C2214yescomplemented
43#17988988C2214yescomplemented
44#17988897C2214yescomplemented
45#17988893C2214yescomplemented
46#17988891C2214yescomplemented
47#17988890C2214yes—
48#17988886C2214yes—
49#17988884C2214yes—
50#17988881C2214yescomplemented
51#17988879C2212yescomplemented
52#17988876C2214yes—
53#17988874C2212yes—
54#17988871C2214yescomplemented
55#17988869C2212yescomplemented
56#17988866C2214yes—
57#17988864C2212yes—
58#17988715C2214yescomplemented
59#17988715C2214yescomplemented
60#17988689C2214yes—
61#17988689C2214yes—
62#17988686C2214yes—
63#17988686C2214yes—
64#17988674C2214yes—
65#17988674C2214yes—
66#17988630C2212yes—
67#17988630C2212yes—
68C2×#14556525C2211yescharacteristic
69#17988613C2212yes—
70#17988611C2211yescharacteristic
71#17988595C2212yes—
72#17988591C2212yes—
73C2×#14556516C2211yescharacteristic
74C2×#14556513C2211yescharacteristic
75#17988542C2212yes—
76#533×C73C2211yescharacteristic
77#533×C73C2211yescharacteristic
78#501×C73C2212yescomplemented
79#501×C73C2212yescomplemented
80#501×C73C2212yescomplemented
81#501×C73C2212yescomplemented
82#427×C73C2212yes—
83#427×C73C2212yes—
84C2×#97×C73C2211yescharacteristic
85C22×Dic146C2311yescharacteristic
86C2×Q8×D73—22no—
87C22×D292C2311yescharacteristic
88C22×C4×D73—21no—
89C2×#11924017Q818yescomplemented
90C2×#11924017C2314yes—
91C2×#11924012C2312yes—
92#14556591—22no—
93#14556591—22no—
94#14556591D411yescharacteristic
95#14556591D411yescharacteristic
96#14556590—24no—
97#14556590—22no—
98#14556590C2314yes—
99#14556590C2314yes—
100#14556589—22no—
101#14556589—24no—
102#14556583—22no—
103#14556583—22no—
104#14556583D412yes—
105#14556582C2314yes—
106#14556582C2314yes—
107#14556581—24no—
108#14556581—24no—
109#14556581—24no—
110#14556571—22no—
111#14556571—24no—
112#14556570D412yes—
113#14556570D412yes—
114#14556569—24no—
115#14556569—24no—
116#14556569—24no—
117#14556568—24no—
118#14556568—24no—
119#14556567—22no—
120#14556567—24no—
121Q8×Dic73—22no—
122C4×Dic146—22no—
123C4×Dic146—22no—
124C4×Dic146—21no—
125C4×Dic146—21no—
126C4×Dic146C2312yes—
127C4×Dic146C2312yes—
128C4×Dic146C2312yes—
129C4×Dic146C2312yes—
130#14556556—22no—
131#14556556—24no—
132#14556556C2314yes—
133#14556556C2314yes—
134C4×D292—22no—
135C4×D292—22no—
136C4×D292—21no—
137C4×D292—21no—
138C4×D292C2312yes—
139C4×D292C2312yes—
140#14556553C2314yes—
141#14556553C2314yes—
142#14556550C2312yes—
143#14556547—24no—
144C2×C4⋊Dic73C2311yescharacteristic
145C2×C4⋊Dic73C2311yescharacteristic
146C2×#11924007—21no—
147C4⋊C4×D73—22no—
148C4⋊C4×D73—24no—
149C2×#11924005—21no—
150C22⋊C4×D73—24no—
151C2×C4×Dic73—21no—
152#14556525C2314yes—
153#14556524C2314yes—
154#14556524C2314yes—
155#14556522C2314yes—
156#14556522C2314yes—
157C4⋊#10596831C2312yes—
158C4⋊#10596831C2312yes—
159#14556520C2314yes—
160#14556520C2314yes—
161#14556516C2314yes—
162#14556514C2314yes—
163#14556514C2314yes—
164#14556513C2314yes—
165#14556511C2314yes—
166#14556511C2314yes—
167#14556501C2314yes—
168C8×Dic73C2314yes—
169C22×C8×C73C2311yescharacteristic
170C22×C8×C73C2311yescharacteristic
171C4⋊Q8×C73C2311yescharacteristic
172C4⋊Q8×C73C2311yescharacteristic
173C4⋊Q8×C73C2311yescharacteristic
174C4⋊Q8×C73C2311yescharacteristic
175#125×C73C2312yes—
176#125×C73C2312yes—
177C22⋊Q8×C73—21no—
178C22⋊Q8×C73—21no—
179C22⋊Q8×C73—21no—
180C22⋊Q8×C73—21no—
181C4×Q8×C73—21no—
182C4×Q8×C73—21no—
183C4×Q8×C73—21no—
184C4×Q8×C73—21no—
185#117×C73C2312yes—
186#117×C73C2312yes—
187C2×C42×C73C2311yescharacteristic
188#107×C73C2312yes—
189#107×C73C2312yes—
190#107×C73C2312yes—
191#107×C73C2312yes—
192#106×C73C2312yes—
193#106×C73C2312yes—
194#106×C73C2312yes—
195#106×C73C2312yes—
196#97×C73C2312yes—
197#97×C73C2312yes—
198C23×D73—21no—
199C2×Dic146—21no—
200C2×Dic146—22no—
201C2×Dic146—24no—
202C2×Dic146—24no—
203C2×Dic146C2×D412yes—
204C2×Dic146C2×D412yes—
205C2×Dic146C2×Q814yescomplemented
206C2×Dic146C2412yes—
207Q8×D73—84no—
208C2×D292—21no—
209C2×D292—22no—
210C2×D292C2×Q814yes—
211C2×D292C2412yes—
212C22×Dic73—21no—
213C22×Dic73—21no—
214C22×Dic73—21no—
215C2×C4×D73—22no—
216C2×C4×D73—22no—
217C2×C4×D73—24no—
218C2×C4×D73—24no—
219C2×C4×D73—82no—
220#11924017C2×Q8116yescomplemented
221#11924012—24no—
222C2×#10596831C2414yes—
223C4⋊Dic73—21no—
224C4⋊Dic73—21no—
225C4⋊Dic73—24no—
226C4⋊Dic73—24no—
227C4⋊Dic73C2×D412yes—
228C4⋊Dic73C2×D412yes—
229C4⋊Dic73C2×D412yes—
230C4⋊Dic73C2×D412yes—
231C4⋊Dic73C2412yes—
232C4⋊Dic73C2412yes—
233#11924007—22no—
234#11924007—22no—
235#11924007—24no—
236#11924007—24no—
237#11924007—24no—
238#11924007—24no—
239#11924007—24no—
240#11924007—24no—
241#11924007C2×D414yes—
242#11924007C2×D414yes—
243C22⋊Dic73C2×D414yes—
244#11924005—22no—
245#11924005—22no—
246#11924005—24no—
247#11924005—24no—
248C4×Dic73—22no—
249C4×Dic73—22no—
250C4×Dic73—24no—
251C4×Dic73—24no—
252C4×Dic73C2414yes—
253C2×Q8×C73—21no—
254C2×Q8×C73—21no—
255C2×Q8×C73—21no—
256C2×Q8×C73—21no—
257C22×C4×C73C2×D411yescharacteristic
258C22×C4×C73C2×D411yescharacteristic
259C22×C4×C73C2411yescharacteristic
260C2×C8×C73—22no—
261C2×C8×C73C2×Q814yescomplemented
262C2×C8×C73C2412yes—
263C2×C8×C73C2412yes—
264C4⋊C4×C73—22no—
265C4⋊C4×C73—22no—
266C4⋊C4×C73—22no—
267C4⋊C4×C73—22no—
268C4⋊C4×C73—21no—
269C4⋊C4×C73—21no—
270C4⋊C4×C73—21no—
271C4⋊C4×C73—21no—
272C4⋊C4×C73C2412yes—
273C4⋊C4×C73C2412yes—
274C4⋊C4×C73C2412yes—
275C4⋊C4×C73C2412yes—
276C22⋊C4×C73—22no—
277C22⋊C4×C73—22no—
278C42×C73—22no—
279C42×C73—22no—
280C42×C73C2×D411yescharacteristic
281C42×C73C2×D411yescharacteristic
282C42×C73C2411yescharacteristic
283C42×C73C2411yescharacteristic
284C23×C73C22×D411yescharacteristic
285C22×D73—22no—
286C22×D73—24no—
287C22×D73—81no—
288C22×D73—81no—
289Q8×C73—42no—
290Q8×C73—42no—
291Q8×C73—81no—
292Q8×C73—81no—
293C2×C4×C73—22no—
294C2×C4×C73—22no—
295C2×C4×C73—22no—
296C2×C4×C73—22no—
297C2×C4×C73—41no—
298C2×C4×C73—41no—
299C2×C4×C73C22×D411yescharacteristic
300C2×C4×C73C22×D411yescharacteristic
301C2×C4×C73C22×D411yescharacteristic
302C2×C4×C73C22×D411yescharacteristic
303C2×C4×C73C22×D411yescharacteristic
304C2×C4×C73C22×Q812yes—
305C2×C4×C732−1+412yes—
306C2×C4×C73C2511yescharacteristic
307C2×Dic73—24no—
308C2×Dic73—22no—
309C2×Dic73—22no—
310C2×Dic73—22no—
311C2×Dic73—81no—
312C2×Dic73—81no—
313C2×Dic73C22×D414yes—
314C2×Dic73C22×D414yes—
315D292—24no—
316D292—22no—
317D292C22×Q814yes—
318C4×D73—44no—
319C4×D73—84no—
320C4×D73—84no—
321C4×D73—82no—
322Dic146—24no—
323Dic146—22no—
324Dic146—42no—
325Dic146—42no—
326Dic146—84no—
327Dic146—84no—
328Dic146C22×Q814yes—
329C8×C73—22no—
330C8×C73C22×Q814yes—
331#10596831—24no—
332C22×C73—21no—
333C22×C73—21no—
334C22×C73D4×Q812yes—
335C22×C73C23×D411yescharacteristic
336C2×D73—24no—
337C2×D73—42no—
338C2×D73—42no—
339C2×D73—84no—
340C4×C73—21no—
341C4×C73—21no—
342C4×C73—21no—
343C4×C73—21no—
344C4×C73—42no—
345C4×C73—42no—
346C4×C73—42no—
347C4×C73—42no—
348C4×C73D4×Q812yes—
349C4×C73C23×Q811yescharacteristic
350C4×C73C2×2−1+411yescharacteristic
351Dic73—24no—
352Dic73—24no—
353Dic73—24no—
354Dic73—42no—
355Dic73—42no—
356#61377—731nomaximal, Sylow
357C2×C73—22no—
358C2×C73C2×D4×Q811yescharacteristic
359C2×C73#358511yescharacteristic
360C2×C73#358611yescharacteristic
361D73—44no—
362#3502—731no—
363#3501—731no—
364#3388—734no—
365#3388—734no—
366#3386—734no—
367#3385—734no—
368#3164—732no—
369#3162D7311yescharacteristic, complemented
370#3082—732no—
371#3081—732no—
372#3078—731no—
373#3077—731no—
374#2961—731no—
375#2949—732no—
376C2×#440—731no—
377C73#6137711yescharacteristic, complemented, Sylow
378C22×SD16—731no—
379Q82—732no—
380Q82—1461no—
381#557—732no—
382#557—734no—
383#557—1462no—
384#557—1461no—
385#554—732no—
386#554—734no—
387#554—1462no—
388#554—1461no—
389D4×Q8—732no—
390D4×Q8—1461no—
391#544—732no—
392#544—732no—
393#544—1462no—
394#543—1462no—
395#533—731no—
396#533—1462no—
397#533C2×D7311yescharacteristic
398#533C2×D7311yescharacteristic
399C2×C22⋊Q8—1462no—
400#519—732no—
401#518—732no—
402C2×C4×Q8—731no—
403C2×C4×D4—731no—
404#501—734no—
405#501—734no—
406#501C2×D7312yescomplemented
407#501C2×D7312yescomplemented
408#501C2×D7312yescomplemented
409#501C2×D7312yescomplemented
410#500—734no—
411#499—734no—
412#479—734no—
413#479—734no—
414#479—734no—
415#478—734no—
416#478—734no—
417#478—734no—
418#477—732no—
419#477—734no—
420#476—732no—
421#476—734no—
422#475—732no—
423#475—734no—
424#474—732no—
425#474—734no—
426#446—734no—
427#446—734no—
428#440—734no—
429#440—734no—
430#440—734no—
431#440—734no—
432C4×SD16—734no—
433C4×SD16—734no—
434#428—732no—
435#428—732no—
436#427C2×D7312yes—
437#427C2×D7312yes—
438C2×#107—731no—
439#424—732no—
440#423—731no—
441#419—732no—
442#418—732no—
443C2×#103—731no—
444C2×#102—731no—
445#405—732no—
446C2×#97C2×D7311yescharacteristic
447C22×Q8—731no—
448C22×Q8—1462no—
449C22×D4—731no—
450C23×C4—1461no—
451C2×SD16—738no—
452C2×SD16—734no—
453C2×M16—732no—
454C22×C8C22×D7311yescharacteristic
455C22×C8C22×D7311yescharacteristic
456C4⋊Q8—734no—
457C4⋊Q8—734no—
458C4⋊Q8—731no—
459C4⋊Q8—731no—
460C4⋊Q8—1462no—
461C4⋊Q8—1462no—
462C4⋊Q8—1462no—
463C4⋊Q8—1464no—
464C4⋊Q8—1464no—
465C4⋊Q8—1462no—
466C4⋊Q8C22×D7311yescharacteristic
467C4⋊Q8C22×D7311yescharacteristic
468C4⋊Q8C22×D7311yescharacteristic
469C4⋊Q8C22×D7311yescharacteristic
470#125—734no—
471#125—734no—
472#125—732no—
473#125—1462no—
474#125—1462no—
475#125—1464no—
476#125—1464no—
477#125—1464no—
478#125C22×D7312yes—
479#125C22×D7312yes—
480C22⋊Q8—21no—
481C22⋊Q8—21no—
482C22⋊Q8—21no—
483C22⋊Q8—21no—
484C22⋊Q8—732no—
485C22⋊Q8—732no—
486C22⋊Q8—1464no—
487C22⋊Q8—1464no—
488C22⋊Q8—1464no—
489C22⋊Q8—1464no—
490C22⋊Q8—1464no—
491C22⋊Q8—1462no—
492C22⋊Q8—1464no—
493C22⋊Q8—1462no—
494C22⋊Q8—1464no—
495C4×Q8—21no—
496C4×Q8—21no—
497C4×Q8—21no—
498C4×Q8—21no—
499C4×Q8—732no—
500C4×Q8—732no—
501C4×Q8—734no—
502C4×Q8—734no—
503C4×Q8—732no—
504C4×Q8—732no—
505C4×Q8—1462no—
506C4×Q8—1462no—
507C4×Q8—1464no—
508C4×Q8—1462no—
509C4×Q8—1462no—
510C4×Q8—1461no—
511C4×Q8—1461no—
512C4×D4—734no—
513C4×D4—734no—
514C4×D4—732no—
515C4×D4—732no—
516C4×D4—1462no—
517C4×D4—1462no—
518C4×D4—1461no—
519C4×D4—1461no—
520#117—732no—
521#117—1464no—
522#117C22×D7312yes—
523#117C22×D7312yes—
524C2×C4⋊C4—731no—
525C2×C4⋊C4—731no—
526C2×C4⋊C4—1464no—
527C2×C4⋊C4—1462no—
528C2×C4⋊C4—1461no—
529C2×C22⋊C4—1464no—
530C2×C22⋊C4—1461no—
531C2×C42—1461no—
532C2×C42C22×D7311yescharacteristic
533#107—734no—
534#107—734no—
535#107—734no—
536#107C22×D7312yes—
537#107C22×D7312yes—
538#107C22×D7312yes—
539#107C22×D7312yes—
540#106—734no—
541#106—734no—
542#106C22×D7312yes—
543#106C22×D7312yes—
544#106C22×D7312yes—
545#106C22×D7312yes—
546C4⋊C8—734no—
547C4⋊C8—734no—
548C4⋊C8—732no—
549C4⋊C8—732no—
550#103—734no—
551#103—734no—
552#103—734no—
553#102—734no—
554#102—734no—
555#102—734no—
556#97—734no—
557#97C22×D7312yes—
558#97C22×D7312yes—
559C4×C8—734no—
560C24—1461no—
561C2×Q8—21no—
562C2×Q8—21no—
563C2×Q8—21no—
564C2×Q8—21no—
565C2×Q8—5844no—
566C2×Q8—732no—
567C2×Q8—732no—
568C2×Q8—734no—
569C2×Q8—732no—
570C2×Q8—1464no—
571C2×Q8—1464no—
572C2×Q8—1461no—
573C2×Q8—1462no—
574C2×D4—734no—
575C2×D4—732no—
576C2×D4—1461no—
577C2×D4—1462no—
578C22×C4—5842no—
579C22×C4—1464no—
580C22×C4—1464no—
581C22×C4—1462no—
582C22×C4—1461no—
583C22×C4—1461no—
584C22×C4—1462no—
585C22×C4—1461no—
586C22×C4D4×D7311yescharacteristic
587C22×C4D4×D7311yescharacteristic
588C22×C4C23×D7311yescharacteristic
589SD16—7316no—
590M16—1464no—
591C2×C8—22no—
592C2×C8—734no—
593C2×C8Q8×D7314yescomplemented
594C2×C8C23×D7312yes—
595C2×C8C23×D7312yes—
596C4⋊C4—22no—
597C4⋊C4—21no—
598C4⋊C4—22no—
599C4⋊C4—21no—
600C4⋊C4—22no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—22no—
604C4⋊C4—734no—
605C4⋊C4—734no—
606C4⋊C4—732no—
607C4⋊C4—732no—
608C4⋊C4—732no—
609C4⋊C4—732no—
610C4⋊C4—732no—
611C4⋊C4—732no—
612C4⋊C4—1464no—
613C4⋊C4—1464no—
614C4⋊C4—1464no—
615C4⋊C4—1464no—
616C4⋊C4—1464no—
617C4⋊C4—1464no—
618C4⋊C4—1464no—
619C4⋊C4—1464no—
620C4⋊C4—1462no—
621C4⋊C4—1462no—
622C4⋊C4—1461no—
623C4⋊C4—1461no—
624C4⋊C4C23×D7312yes—
625C4⋊C4C23×D7312yes—
626C4⋊C4C23×D7312yes—
627C4⋊C4C23×D7312yes—
628C22⋊C4—22no—
629C22⋊C4—22no—
630C22⋊C4—734no—
631C22⋊C4—1464no—
632C22⋊C4—1464no—
633C22⋊C4—1462no—
634C22⋊C4—1462no—
635C42—22no—
636C42—22no—
637C42—734no—
638C42—1464no—
639C42—1464no—
640C42—1462no—
641C42—1462no—
642C42D4×D7311yescharacteristic
643C42D4×D7311yescharacteristic
644C42C23×D7311yescharacteristic
645C42C23×D7311yescharacteristic
646C23—5841no—
647C23—5841no—
648C23—1462no—
649C23—1464no—
650C23C2×D4×D7311yescharacteristic
651Q8—42no—
652Q8—42no—
653Q8—81no—
654Q8—81no—
655Q8—2922no—
656Q8—2922no—
657Q8—5844no—
658Q8—5844no—
659Q8—734no—
660Q8—1462no—
661Q8—1464no—
662D4—734no—
663D4—1462no—
664D4—1464no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—2924no—
672C2×C4—5842no—
673C2×C4—5844no—
674C2×C4—5844no—
675C2×C4—5841no—
676C2×C4—5841no—
677C2×C4—734no—
678C2×C4—734no—
679C2×C4—1462no—
680C2×C4—1462no—
681C2×C4—1462no—
682C2×C4—1464no—
683C2×C4C2×D4×D7311yescharacteristic
684C2×C4C2×D4×D7311yescharacteristic
685C2×C4C2×D4×D7311yescharacteristic
686C2×C4C2×D4×D7311yescharacteristic
687C2×C4C2×D4×D7311yescharacteristic
688C2×C4C2×Q8×D7312yes—
689C2×C4#1455663912yes—
690C2×C4C24×D7311yescharacteristic
691C8—22no—
692C8—1464no—
693C8C2×Q8×D7314yes—
694C22—21no—
695C22—21no—
696C22—2922no—
697C22—2922no—
698C22—5844no—
699C22—1464no—
700C22#1798925212yes—
701C22C22×D4×D7311yescharacteristic
702C4—21no—
703C4—21no—
704C4—21no—
705C4—21no—
706C4—42no—
707C4—42no—
708C4—42no—
709C4—42no—
710C4—2922no—
711C4—2922no—
712C4—1464no—
713C4—1464no—
714C4—1464no—
715C4#1798925212yes—
716C4C22×Q8×D7311yescharacteristic
717C4C2×#1455663911yescharacteristic
718C2—22no—
719C2—2924no—
720C2C2×#1798925211yescharacteristic
721C2#2262470811yescharacteristic
722C2#2262471511yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3162C2
socleC22×C73C23×D4
prime radicalC22×D292C23
hypercenter#3162D73
hypocenterC73#61377
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3162

Complements

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

NH ≅ G/Ntype
1. #22623736C2semidirect
3. #22622875C2semidirect
4. #22622871C2semidirect
5. #22622849C2semidirect
6. #22622838C2semidirect
7. #22620471C2semidirect
8. #22619776C2semidirect
10. #22619732C2semidirect
12. #22618871C2semidirect
15. C73×#3162C2semidirect
18. #17989317C22semidirect
21. #17989314C22semidirect
22. #17989312C22semidirect
40. #17988994C22semidirect
41. #17988994C22semidirect
42. #17988991C22semidirect
43. #17988988C22semidirect
44. #17988897C22semidirect
45. #17988893C22semidirect
46. #17988891C22semidirect
50. #17988881C22semidirect
51. #17988879C22semidirect
54. #17988871C22semidirect
55. #17988869C22semidirect
58. #17988715C22semidirect
59. #17988715C22semidirect
78. #501×C73C22semidirect
79. #501×C73C22semidirect
80. #501×C73C22semidirect
81. #501×C73C22semidirect
89. C2×#11924017Q8semidirect
205. C2×Dic146C2×Q8semidirect
220. #11924017C2×Q8semidirect
261. C2×C8×C73C2×Q8semidirect
369. #3162D73semidirect
377. C73#61377semidirect
406. #501C2×D73semidirect
407. #501C2×D73semidirect
408. #501C2×D73semidirect
409. #501C2×D73semidirect
593. C2×C8Q8×D73semidirect

Maximal subgroups

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

subgroupindex
#226237362
#226237322
#226228752
#226228712
#226228492
#226228382
#226204712
#226197762
#226197652
#226197322
#226197242
#226188712
#226187892
C2×#179886892
C73×#31622
#6137773