Finite Group Databasebeta

← #34031394

Subgroups — #34031394

Order 18688.

2814 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14556679C211yesmaximal, characteristic, complemented
2C2×D73⋊#131C211yesmaximal, characteristic, complemented
3#22626676C213yesmaximal, complemented
4#22626670C213yesmaximal, complemented
5#22626666C213yesmaximal, complemented
6#22626661C213yesmaximal, complemented
7#22626655C213yesmaximal, complemented
8#22626647C213yesmaximal, complemented
9#22626645C213yesmaximal, complemented
10D4×#11924036C213yesmaximal, complemented
11#22626579C211yesmaximal, characteristic, complemented
12#22626522C211yesmaximal, characteristic, complemented
13#22626520C211yesmaximal, characteristic, complemented
14C4×#14556679C211yesmaximal, characteristic, complemented
15#22623420C211yesmaximal, characteristic
16C2×#14556679—28no—
17C2×#14556679C2211yescharacteristic
18C2×#14556679C2211yescharacteristic
19C2×#14556679C2211yescharacteristic
20C2×#14556679C2211yescharacteristic
21C2×#14556679C2213yescomplemented
22C2×#14556679C2213yescomplemented
23D73⋊#131—28no—
24C2×#14556678C2213yescomplemented
25C2×#14556678C2213yescomplemented
26C22×#11924038C2213yescomplemented
27C2×D73⋊M16C2213yescomplemented
28C22×#11924036C2213yescomplemented
29C22×#11924036C2213yescomplemented
30#17989620C2216yescomplemented
31#17989620C2216yescomplemented
32#17989619C2216yescomplemented
33#17989618C2216yescomplemented
34#17989617C2216yescomplemented
35#17989616C2216yescomplemented
36#17989615C2213yescomplemented
37#17989615C2213yescomplemented
38#17989614C2211yescharacteristic
39#17989614C2213yes—
40#17989614C2213yescomplemented
41#17989614C2213yescomplemented
42#17989614C2216yescomplemented
43D4×#10596833C2213yescomplemented
44D4×#10596833C2213yescomplemented
45#17989594C2213yescomplemented
46#17989594C2213yescomplemented
47#17989592C2213yescomplemented
48#17989588C2213yescomplemented
49#17989562C2213yescomplemented
50#17989562C2213yescomplemented
51#17989561C2213yescomplemented
52#17989561C2213yescomplemented
53#17989558C2213yescomplemented
54#17989558C2213yescomplemented
55#17989555C2213yescomplemented
56#17989555C2213yescomplemented
57#17989552C2213yescomplemented
58#17989552C2213yescomplemented
59C4×#11924038C2213yescomplemented
60C4×#11924036C2213yescomplemented
61C22×#11924029C2211yescharacteristic
62C2×#41×D73C2211yescharacteristic
63#17989256C411yescharacteristic
64Q8×C22⋊D73C411yescharacteristic
65#17989249C411yescharacteristic
66#17989239C413yes—
67#17989233C413yes—
68#17989230C413yes—
69#17989221C413yes—
70#17989136C2213yes—
71#17989100C2213yes—
72#17989097C2213yes—
73C4×#11924029C2211yescharacteristic
74C4×D4×D73C2213yes—
75#548×C73C411yescharacteristic
76#14556679—212no—
77#14556679—212no—
78#14556679—24no—
79#14556679—24no—
80#14556679—24no—
81#14556679D418yescomplemented
82#14556678—212no—
83#14556678—212no—
84C2×#11924038—212no—
85C2×#11924038C2313yes—
86C2×#11924038C2313yes—
87C2×#11924038C2316yes—
88C2×#11924038C2313yes—
89C2×#11924038C2313yes—
90D73⋊M16—212no—
91C2×#11924037C2316yes—
92C2×#11924036—212no—
93C2×#11924036—212no—
94C2×#11924036C2311yescharacteristic
95C2×#11924036C2313yes—
96C2×#11924036C2313yes—
97C2×#11924036C2313yes—
98C2×#11924036C2313yes—
99C2×#11924036C2313yes—
100C2×#11924036C2313yes—
101C2×#11924036C2313yes—
102C22×#10596833C2311yescharacteristic
103C22×#10596833C2313yes—
104C22×#10596833C2313yes—
105C22×#10596833C2313yes—
106#14556658C2311yescharacteristic
107#14556658C2313yes—
108#14556658C2316yes—
109C4⋊#10596833C2313yes—
110C4⋊#10596833C2313yes—
111#14556648C2311yescharacteristic
112#14556648C2313yes—
113#14556648C2313yes—
114#14556648C2313yes—
115#14556648C2316yes—
116C22⋊#10596833C2311yescharacteristic
117C22⋊#10596833C2313yes—
118C22⋊#10596833C2313yes—
119C22⋊#10596833C2313yes—
120C22⋊#10596833C2316yes—
121#14556646C2316yes—
122C4×#10596833C2311yescharacteristic
123C4×#10596833C2313yes—
124C4×#10596833C2313yes—
125C4×#10596833C2313yes—
126C2×#11924029—24no—
127C2×#11924029—24no—
128C2×#11924029C2×C413yes—
129C2×#11924029C2×C411yescharacteristic
130C2×#11924029C2313yes—
131C2×#11924029C2311yescharacteristic
132C2×#11924028C2×C413yes—
133C2×#11924027C2313yes—
134#41×D73—24no—
135#41×D73—24no—
136C2×Q8×D73C2×C411yescharacteristic
137C22×D292C2×C413yes—
138C2×D4×D73C2×C413yes—
139C2×D4×D73C2×C413yes—
140C22×C4×D73C2313yes—
141C22×C4×D73C2313yes—
142#14556589C2×C413yes—
143#14556587C2×C413yes—
144#14556579C2×C413yes—
145#14556576C2×C416yes—
146#14556573C2×C416yes—
147#14556571C2×C413yes—
148#14556570C2×C413yes—
149#14556567C2×C413yes—
150#14556566C2×C413yes—
151#14556565C2×C413yes—
152#14556564C2×C416yes—
153#14556564C2×C416yes—
154#14556562C2×C413yes—
155#14556561C2×C416yes—
156#14556559C2×C416yes—
157Q8×Dic73C2×C411yescharacteristic
158C4×D292C2×C413yes—
159C4×D292C2×C413yes—
160D4×Dic73C2313yes—
161#14556553C2×C413yes—
162#14556553C2313yes—
163C4×C22⋊D73C2×C413yes—
164C4×C22⋊D73C2×C413yes—
165#14556551C2313yes—
166#14556551C2316yes—
167#14556551C2311yescharacteristic
168#14556549C2313yes—
169C4⋊C4×D73C2×C413yes—
170C22⋊C4×D73C2×C413yes—
171C22⋊C4×D73C2×C413yes—
172C42×D73C2313yes—
173C2×#41×C73C2×C411yescharacteristic
174C22×Q8×C73C2×C411yescharacteristic
175#124×C73C2×C413yes—
176C22⋊Q8×C73C2×C413yes—
177#121×C73C2×C413yes—
178C4×Q8×C73C2×C411yescharacteristic
179C4×D4×C73C2×C413yes—
180#11924038—26no—
181#11924038—26no—
182#11924038—26no—
183#11924038—212no—
184#11924038C2×D4112yescomplemented
185#11924037—212no—
186#11924036—26no—
187#11924036—26no—
188#11924036—26no—
189#11924036—22no—
190#11924036—26no—
191#11924036—26no—
192#11924036—26no—
193#11924036C2×D4112yescomplemented
194C2×#10596833—22no—
195C2×#10596833—26no—
196C2×#10596833—26no—
197C2×#10596833—26no—
198C2×#10596833C2411yescharacteristic
199C2×#10596833C2411yescharacteristic
200C2×#10596833C2413yes—
201C2×#10596833C2413yes—
202C2×#10596833C2411yescharacteristic
203C2×#10596833C2413yes—
204C2×#10596833C2411yescharacteristic
205C2×#10596833C2413yes—
206C23×D73C22×C413yes—
207C23×D73C22×C413yes—
208#11924029—24no—
209#11924029—212no—
210#11924029—26no—
211#11924029—26no—
212#11924029C2×D414yes—
213#11924029#4114yes—
214#11924028—212no—
215#11924027—26no—
216#11924027—26no—
217C2×Dic146C22×C413yes—
218Q8×D73—24no—
219C2×D292—212no—
220C2×D292C22×C413yes—
221C2×D292C22×C416yes—
222C2×D292C22×C413yes—
223C2×D292C22×C413yes—
224C2×C22⋊D73C22×C413yes—
225C2×C22⋊D73C22×C416yes—
226C2×C22⋊D73C22×C416yes—
227C2×C22⋊D73C22×C411yescharacteristic
228D4×D73—212no—
229D4×D73—212no—
230C22×Dic73C2411yescharacteristic
231C22×Dic73C2413yes—
232C2×C4×D73—26no—
233C2×C4×D73—26no—
234C2×C4×D73—26no—
235C2×C4×D73—26no—
236C2×C4×D73C22×C413yes—
237C2×C4×D73C22×C413yes—
238C2×C4×D73C22×C413yes—
239C2×C4×D73C22×C413yes—
240C2×C4×D73C22×C413yes—
241C2×C4×D73C22×C413yes—
242C2×C4×D73C2411yescharacteristic
243C2×C4×D73C2413yes—
244C2×C4×D73C2413yes—
245C4⋊Dic73C22×C413yes—
246C4⋊Dic73C22×C413yes—
247#11924007C22×C411yescharacteristic
248#11924007C22×C413yes—
249#11924007C22×C416yes—
250C22⋊Dic73C22×C413yes—
251C22⋊Dic73C22×C413yes—
252#11924005C22×C411yescharacteristic
253#11924005C22×C413yes—
254#11924005C22×C413yes—
255#11924005C22×C413yes—
256#11924005C22×C416yes—
257#11924005C22×C416yes—
258C4×Dic73C22×C413yes—
259C4×Dic73C2411yescharacteristic
260C4×Dic73C2413yes—
261#41×C73—24no—
262C2×Q8×C73—24no—
263C2×Q8×C73C22×C413yes—
264C2×Q8×C73C22×C411yescharacteristic
265C2×D4×C73C22×C413yes—
266C2×D4×C73C22×C413yes—
267C22×C4×C73C22×C413yes—
268C22×C4×C73C22×C413yes—
269C4⋊C4×C73C22×C413yes—
270C4⋊C4×C73C22×C413yes—
271C22⋊C4×C73C22×C411yescharacteristic
272C22⋊C4×C73C22×C413yes—
273C22⋊C4×C73C22×C416yes—
274C42×C73C22×C413yes—
275C23×C73C23×C413yes—
276C23×C73C23×C411yescharacteristic
277C22×D73—26no—
278C22×D73—26no—
279C22×D73—26no—
280C22×D73—26no—
281C22×D73—43no—
282C22×D73—43no—
283C22×D73C23×C413yes—
284C22×D73C23×C413yes—
285C22×D73C23×C411yescharacteristic
286Q8×C73—26no—
287Q8×C73C4×D414yes—
288D4×C73—26no—
289D4×C73—26no—
290C2×C4×C73—26no—
291C2×C4×C73—26no—
292C2×C4×C73C23×C411yescharacteristic
293C2×C4×C73C23×C413yes—
294C2×C4×C73C23×C413yes—
295C2×C4×C73C23×C411yescharacteristic
296C2×C4×C73C23×C413yes—
297C22⋊D73—212no—
298C22⋊D73—26no—
299C22⋊D73—46no—
300C22⋊D73#13114yescomplemented
301C2×Dic73—21no—
302C2×Dic73—23no—
303C2×Dic73—21no—
304C2×Dic73—23no—
305C2×Dic73C23×C413yes—
306C2×Dic73C23×C413yes—
307C2×Dic73C23×C411yescharacteristic
308C2×Dic73C23×C411yescharacteristic
309C2×Dic73C2511yescharacteristic
310D292—212no—
311D292—26no—
312D292—26no—
313D292C4×D4112yes—
314C4×D73—26no—
315C4×D73—26no—
316C4×D73—26no—
317C4×D73—26no—
318C4×D73—26no—
319C4×D73—21no—
320C4×D73—23no—
321C4×D73—21no—
322C4×D73—23no—
323C4×D73—43no—
324C4×D73C22×D416yes—
325C4×D73C2×#4116yes—
326Dic146—26no—
327#10596833—21no—
328#10596833—21no—
329#10596833—23no—
330#10596833—23no—
331#10596833—21no—
332#10596833—23no—
333#10596833C22×D412yes—
334#10596833C22×D416yes—
335C22×C73—21no—
336C22×C73—21no—
337C22×C73—23no—
338C22×C73—23no—
339C22×C73—23no—
340C22×C73C2×#13112yescomplemented
341C22×C73C24×C411yescharacteristic
342C2×D73—21no—
343C2×D73—23no—
344C2×D73—23no—
345C2×D73—21no—
346C2×D73—23no—
347C2×D73—23no—
348C2×D73—23no—
349C2×D73—412no—
350C2×D73—412no—
351C2×D73C2×C4×D416yes—
352C2×D73C2×#13112yescomplemented
353C4×C73—21no—
354C4×C73—23no—
355C4×C73—23no—
356C4×C73—21no—
357C4×C73C2×C4×D416yes—
358Dic73—23no—
359Dic73—21no—
360Dic73—23no—
361Dic73C2×#13112yescomplemented
362Dic73C23×D411yescharacteristic
363Dic73C22×#4111yescharacteristic
364D4×#131—731nomaximal, Sylow
365C2×C73—22no—
366C2×C73—43no—
367C2×C73C22×C4×D411yescharacteristic
368C2×C73C22×#13111yescharacteristic
369C2×C73#357311yescharacteristic
370D73—22no—
371D73—26no—
372D73—43no—
373C22×#131—731no—
374C22×#131—731no—
375D4×#41—731no—
376#2935—733no—
377D4×M16—733no—
378#2933—733no—
379#2933—733no—
380#2931—733no—
381#2929—733no—
382#2929—733no—
383C2×C8×D4—733no—
384#2906—731no—
385#2880—731no—
386#2880—731no—
387C4×#131—731no—
388C73D4×#13111yescharacteristic, complemented, Sylow
389C22×#41—731no—
390C22×#41—731no—
391C2×#131—731no—
392C2×#131—733no—
393C2×#131—733no—
394C2×#131—731no—
395C2×#131—731no—
396C2×#131—731no—
397C2×#131—733no—
398C2×#131—733no—
399C2×#131—1468no—
400C2×#131—1468no—
401C22×M16—733no—
402C22×M16—733no—
403C23×C8—733no—
404C23×C8—733no—
405#550—731no—
406D4×Q8—731no—
407#548—731no—
408#548#6440811yescharacteristic
409#547—733no—
410#546—733no—
411#546—733no—
412D42—733no—
413#532—733no—
414#525—733no—
415#525—733no—
416C4×#41—731no—
417C2×C4×D4—733no—
418#436—736no—
419#436—736no—
420#435—736no—
421#435—736no—
422#435—736no—
423#435—736no—
424C8×D4—731no—
425C8×D4—733no—
426C8×D4—733no—
427C8×D4—733no—
428C8×D4—733no—
429C8×D4—733no—
430C8×D4—733no—
431C8×D4—733no—
432C8×D4—736no—
433#424—733no—
434#424—733no—
435#423—733no—
436C2×C4⋊C8—733no—
437#408—733no—
438#408—733no—
439#408—733no—
440#408—733no—
441#407—733no—
442#407—733no—
443C2×C22⋊C8—733no—
444C2×C22⋊C8—733no—
445#405—733no—
446#405—733no—
447C4×M16—733no—
448C2×C4×C8—733no—
449C2×#41—731no—
450C2×#41—733no—
451C2×#41—733no—
452C2×#41—731no—
453C2×#41—733no—
454C2×#41—733no—
455C2×#41—1464no—
456C2×#41—1464no—
457C2×#41—1464no—
458C2×#41—1464no—
459C2×#41C2×#6440811yescharacteristic
460C22×Q8—731no—
461C22×Q8C2×#6440811yescharacteristic
462C22×D4—733no—
463C22×D4—733no—
464C22×D4—733no—
465C23×C4—733no—
466C23×C4—733no—
467#131—738no—
468#131—14612no—
469#131—14612no—
470#131—14612no—
471#131—14612no—
472#131—1464no—
473#131—1464no—
474#131—1464no—
475C2×M16—733no—
476C2×M16—736no—
477C2×M16—733no—
478C2×M16—733no—
479C2×M16—736no—
480C2×M16—733no—
481C2×M16—14612no—
482C2×M16—14612no—
483C22×C8—733no—
484C22×C8—731no—
485C22×C8—733no—
486C22×C8—733no—
487C22×C8—733no—
488C22×C8—731no—
489C22×C8—733no—
490C22×C8—733no—
491C22×C8—733no—
492C22×C8—733no—
493C22×C8—733no—
494C22×C8—733no—
495C22×C8—14612no—
496C22×C8—14612no—
497C4⋊Q8—733no—
498#127—733no—
499#124—733no—
500#124C2×#6440813yes—
501#123—736no—
502#123—736no—
503C22⋊Q8—733no—
504C22⋊Q8—733no—
505C22⋊Q8—733no—
506C22⋊Q8C2×#6440813yes—
507#121—733no—
508#121—733no—
509#121—733no—
510#121—736no—
511#121—736no—
512#121C2×#6440813yes—
513#120—736no—
514#120—736no—
515C4×Q8—731no—
516C4×Q8C2×#6440811yescharacteristic
517C4×D4—733no—
518C4×D4—733no—
519C4×D4—733no—
520C4×D4—733no—
521C4×D4—733no—
522C4×D4—731no—
523C4×D4—733no—
524C4×D4—736no—
525C4×D4—733no—
526C4×D4—733no—
527C4×D4C2×#6440813yes—
528#117—733no—
529C2×C4⋊C4—733no—
530C2×C22⋊C4—733no—
531C2×C22⋊C4—733no—
532C2×C42—733no—
533C4⋊C8—731no—
534C4⋊C8—733no—
535C4⋊C8—733no—
536C4⋊C8—733no—
537C4⋊C8—736no—
538C22⋊C8—731no—
539C22⋊C8—731no—
540C22⋊C8—733no—
541C22⋊C8—733no—
542C22⋊C8—733no—
543C22⋊C8—733no—
544C22⋊C8—733no—
545C22⋊C8—733no—
546C22⋊C8—736no—
547C22⋊C8—736no—
548#97—736no—
549C4×C8—731no—
550C4×C8—733no—
551C4×C8—733no—
552C4×C8—733no—
553C24—733no—
554C24—733no—
555#41—24no—
556#41—734no—
557#41—734no—
558#41—14612no—
559#41—1466no—
560#41—1466no—
561#41—1466no—
562#41—1466no—
563#41—14612no—
564#41—1464no—
565C2×Q8—24no—
566C2×Q8—733no—
567C2×Q8—1464no—
568C2×Q8C22×#6440813yes—
569C2×Q8C22×#6440811yescharacteristic
570C2×D4—736no—
571C2×D4—731no—
572C2×D4—733no—
573C2×D4—736no—
574C2×D4—733no—
575C2×D4—733no—
576C2×D4—736no—
577C2×D4—733no—
578C2×D4—14612no—
579C2×D4—14612no—
580C2×D4—14612no—
581C2×D4C22×#6440813yes—
582C2×D4C22×#6440813yes—
583C22×C4—733no—
584C22×C4—733no—
585C22×C4—731no—
586C22×C4—733no—
587C22×C4—733no—
588C22×C4—733no—
589C22×C4—733no—
590C22×C4—733no—
591C22×C4—733no—
592C22×C4—731no—
593C22×C4—733no—
594C22×C4—1466no—
595C22×C4—1466no—
596C22×C4—1466no—
597C22×C4—1466no—
598C22×C4C22×#6440813yes—
599C22×C4C22×#6440813yes—
600M16—7312no—
601M16—14612no—
602M16—14612no—
603M16—1466no—
604M16—1466no—
605M16—1466no—
606C2×C8—731no—
607C2×C8—733no—
608C2×C8—7312no—
609C2×C8—731no—
610C2×C8—733no—
611C2×C8—731no—
612C2×C8—731no—
613C2×C8—733no—
614C2×C8—733no—
615C2×C8—1462no—
616C2×C8—1466no—
617C2×C8—1466no—
618C2×C8—1466no—
619C2×C8—1462no—
620C2×C8—1466no—
621C2×C8—1466no—
622C2×C8—1466no—
623C2×C8—1466no—
624C2×C8—1466no—
625C2×C8—1466no—
626C4⋊C4—731no—
627C4⋊C4—733no—
628C4⋊C4—736no—
629C4⋊C4—733no—
630C4⋊C4—733no—
631C4⋊C4C22×#6440813yes—
632C4⋊C4C22×#6440813yes—
633C22⋊C4—733no—
634C22⋊C4—733no—
635C22⋊C4—731no—
636C22⋊C4—733no—
637C22⋊C4—733no—
638C22⋊C4—733no—
639C22⋊C4—736no—
640C22⋊C4—736no—
641C22⋊C4C22×#6440811yescharacteristic
642C22⋊C4C22×#6440813yes—
643C22⋊C4C22×#6440816yes—
644C42—733no—
645C42—731no—
646C42—733no—
647C42C22×#6440813yes—
648C23—2923no—
649C23—2923no—
650C23—731no—
651C23—733no—
652C23—733no—
653C23—1466no—
654C23—1466no—
655C23—1466no—
656C23—1466no—
657C23C23×#6440813yes—
658C23C23×#6440811yescharacteristic
659Q8—26no—
660Q8—1466no—
661Q8D4×#6440814yes—
662D4—26no—
663D4—26no—
664D4—2926no—
665D4—734no—
666D4—7312no—
667D4—14612no—
668D4—1466no—
669D4—1466no—
670D4—14612no—
671D4—1466no—
672C2×C4—26no—
673C2×C4—26no—
674C2×C4—2923no—
675C2×C4—731no—
676C2×C4—731no—
677C2×C4—736no—
678C2×C4—736no—
679C2×C4—733no—
680C2×C4—731no—
681C2×C4—733no—
682C2×C4—1461no—
683C2×C4—1463no—
684C2×C4—1461no—
685C2×C4—1463no—
686C2×C4—1466no—
687C2×C4—1466no—
688C2×C4—1466no—
689C2×C4—1461no—
690C2×C4—1463no—
691C2×C4—1461no—
692C2×C4—1463no—
693C2×C4—1466no—
694C2×C4—1466no—
695C2×C4C23×#6440811yescharacteristic
696C2×C4C23×#6440813yes—
697C2×C4C23×#6440811yescharacteristic
698C2×C4C23×#6440813yes—
699C2×C4C23×#6440813yes—
700C8—732no—
701C8—736no—
702C8—1461no—
703C8—1461no—
704C8—1463no—
705C8—1463no—
706C8—1461no—
707C8—1463no—
708C22—21no—
709C22—21no—
710C22—23no—
711C22—23no—
712C22—23no—
713C22—29212no—
714C22—29212no—
715C22—736no—
716C22—732no—
717C22—1463no—
718C22—1463no—
719C22—1463no—
720C22—1461no—
721C22—1463no—
722C22—1463no—
723C22—1461no—
724C22D73⋊#13112yescomplemented
725C22C24×#6440811yescharacteristic
726C4—21no—
727C4—23no—
728C4—23no—
729C4—21no—
730C4—731no—
731C4—731no—
732C4—732no—
733C4—1461no—
734C4—1463no—
735C4—1463no—
736C4C2×D4×#6440816yes—
737C2—22no—
738C2—43no—
739C2—2923no—
740C2—1462no—
741C2—1466no—
742C2C22×D4×#6440811yescharacteristic
743C2C2×D73⋊#13111yescharacteristic
744C2#2262692711yescharacteristic
subgroupG/H
center, FrattiniC22C24×#64408
commutator, socleC22×C73C24×C4
Fitting#548×C73C4
prime radical#22623420C2
cosocleC2×Dic73C25
hypercenter#548#64408
hypocenterC73D4×#131
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #548

Complements

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

NH ≅ G/Ntype
1. C22×#14556679C2semidirect
2. C2×D73⋊#131C2semidirect
3. #22626676C2semidirect
4. #22626670C2semidirect
5. #22626666C2semidirect
6. #22626661C2semidirect
7. #22626655C2semidirect
8. #22626647C2semidirect
9. #22626645C2semidirect
10. D4×#11924036C2semidirect
11. #22626579C2semidirect
12. #22626522C2semidirect
13. #22626520C2semidirect
14. C4×#14556679C2semidirect
21. C2×#14556679C22semidirect
22. C2×#14556679C22semidirect
24. C2×#14556678C22semidirect
25. C2×#14556678C22semidirect
26. C22×#11924038C22semidirect
27. C2×D73⋊M16C22semidirect
28. C22×#11924036C22semidirect
29. C22×#11924036C22semidirect
30. #17989620C22semidirect
31. #17989620C22semidirect
32. #17989619C22semidirect
33. #17989618C22semidirect
34. #17989617C22semidirect
35. #17989616C22semidirect
36. #17989615C22semidirect
37. #17989615C22semidirect
40. #17989614C22semidirect
41. #17989614C22semidirect
42. #17989614C22semidirect
43. D4×#10596833C22semidirect
44. D4×#10596833C22semidirect
45. #17989594C22semidirect
46. #17989594C22semidirect
47. #17989592C22semidirect
48. #17989588C22semidirect
49. #17989562C22semidirect
50. #17989562C22semidirect
51. #17989561C22semidirect
52. #17989561C22semidirect
53. #17989558C22semidirect
54. #17989558C22semidirect
55. #17989555C22semidirect
56. #17989555C22semidirect
57. #17989552C22semidirect
58. #17989552C22semidirect
59. C4×#11924038C22semidirect
60. C4×#11924036C22semidirect
81. #14556679D4semidirect
184. #11924038C2×D4semidirect
193. #11924036C2×D4semidirect
300. C22⋊D73#131semidirect
340. C22×C73C2×#131semidirect
352. C2×D73C2×#131semidirect
361. Dic73C2×#131semidirect
388. C73D4×#131semidirect
724. C22D73⋊#131semidirect

Maximal subgroups

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

subgroupindex
C22×#145566792
C2×D73⋊#1312
#226266762
#226266702
#226266662
#226266612
#226266552
#226266472
#226266452
D4×#119240362
#226265792
#226265222
#226265202
C4×#145566792
#226234202
D4×#13173