Finite Group Databasebeta

← C73×#28937 #32938341

Subgroups — C73×#28937 #32938341

Order 18688.

770 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#3137C211yesmaximal, characteristic, complemented
2C73×#3136C211yesmaximal, characteristic, complemented
3C73×#3063C211yesmaximal, characteristic, complemented
4C73×#3062C211yesmaximal, characteristic
5C73×#2061C211yesmaximal, characteristic, complemented
6C73×#2040C211yesmaximal, characteristic, complemented
7C73×#2004C211yesmaximal, characteristic, complemented
8C73×#2003C211yesmaximal, characteristic, complemented
9C73×#1958C211yesmaximal, characteristic, complemented
10C73×#1931C211yesmaximal, characteristic, complemented
11C73×#1930C211yesmaximal, characteristic, complemented
12C73×#1908C211yesmaximal, characteristic, complemented
13C73×#1907C211yesmaximal, characteristic, complemented
14C73×#1764C211yesmaximal, characteristic, complemented
15C73×#1764C211yesmaximal, characteristic, complemented
16C2×#137×C73C2211yescharacteristic
17C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
18C2×#131×C73C2211yescharacteristic
19C2×#131×C73C2211yescharacteristic
20#544×C73C2211yescharacteristic
21#537×C73C2211yescharacteristic
22#536×C73C2211yescharacteristic
23#535×C73C2211yescharacteristic
24C2×#124×C73C2211yescharacteristic
25#491×C73—21no—
26#490×C73—21no—
27#489×C73—21no—
28#489×C73—21no—
29#488×C73—21no—
30#488×C73—21no—
31#487×C73—21no—
32#486×C73—21no—
33#470×C73—21no—
34#469×C73—21no—
35#468×C73—21no—
36#468×C73—21no—
37#467×C73—21no—
38#466×C73—21no—
39#465×C73—21no—
40#465×C73—21no—
41#428×C73C2211yescharacteristic
42#428×C73C2211yescharacteristic
43C2×#104×C73C2211yescharacteristic
44C2×#104×C73C2211yescharacteristic
45#419×C73C2211yescharacteristic
46#418×C73C2211yescharacteristic
47#417×C73C2211yescharacteristic
48#417×C73C2211yescharacteristic
49#416×C73C2211yescharacteristic
50#416×C73C2211yescharacteristic
51C2×#103×C73C2211yescharacteristic
52C2×#103×C73C2211yescharacteristic
53C2×#102×C73C2211yescharacteristic
54C2×#102×C73C2211yescharacteristic
55C2×#101×C73C2211yescharacteristic
56C2×#100×C73C2211yescharacteristic
57#405×C73C2211yescharacteristic
58#405×C73C2211yescharacteristic
59C2×C4×C8×C73C2211yescharacteristic
60#382×C73C2211yescharacteristic
61#343×C73C2211yescharacteristic
62#343×C73C2211yescharacteristic
63#341×C73C2211yescharacteristic
64#341×C73C2211yescharacteristic
65#339×C73C2211yescharacteristic
66#339×C73C2211yescharacteristic
67C2×#41×C73C2311yescharacteristic
68C2×#41×C73C2311yescharacteristic
69C22×Q8×C73C2311yescharacteristic
70C22×D4×C73C2311yescharacteristic
71#137×C73—22no—
72#137×C73—41no—
73AGL(1,ℤ/8)×C73—22no—
74AGL(1,ℤ/8)×C73—41no—
75C2×Q16×C73—21no—
76C2×SD16×C73—21no—
77C2×SD16×C73—21no—
78C2×D8×C73—21no—
79#131×C73—22no—
80#131×C73—22no—
81#131×C73—41no—
82#131×C73—41no—
83C2×M16×C73—21no—
84C2×M16×C73—21no—
85C2×M16×C73C2311yescharacteristic
86C2×M16×C73C2311yescharacteristic
87C2×M16×C73C2311yescharacteristic
88C2×M16×C73C2311yescharacteristic
89C22×C8×C73—21no—
90C22×C8×C73—21no—
91C22×C8×C73C2311yescharacteristic
92C22×C8×C73C2311yescharacteristic
93C4⋊Q8×C73—21no—
94C4⋊Q8×C73—21no—
95C4⋊Q8×C73—21no—
96#127×C73—21no—
97#125×C73—21no—
98#125×C73—21no—
99#124×C73—21no—
100#124×C73—21no—
101#124×C73—22no—
102#124×C73—41no—
103#123×C73—41no—
104C22⋊Q8×C73—21no—
105C22⋊Q8×C73—21no—
106C22⋊Q8×C73—21no—
107C22⋊Q8×C73—21no—
108C22⋊Q8×C73—41no—
109#121×C73—21no—
110#121×C73—21no—
111#121×C73—21no—
112#121×C73—21no—
113#121×C73—41no—
114#120×C73—41no—
115#117×C73C2311yescharacteristic
116#117×C73C2311yescharacteristic
117C2×C4⋊C4×C73C2311yescharacteristic
118C2×C4⋊C4×C73C2311yescharacteristic
119C2×C22⋊C4×C73—41no—
120C2×C42×C73C2311yescharacteristic
121#107×C73—21no—
122#107×C73—21no—
123#106×C73—21no—
124#106×C73—21no—
125#104×C73—22no—
126#104×C73—22no—
127#103×C73—21no—
128#103×C73—21no—
129#103×C73—21no—
130#103×C73—21no—
131#103×C73—21no—
132#103×C73—21no—
133#103×C73—21no—
134#103×C73—21no—
135#103×C73D411yescharacteristic
136#103×C73D411yescharacteristic
137#103×C73D411yescharacteristic
138#103×C73D411yescharacteristic
139#102×C73—21no—
140#102×C73—21no—
141#102×C73—21no—
142#102×C73—21no—
143#102×C73—21no—
144#102×C73—21no—
145#102×C73—21no—
146#102×C73—21no—
147#102×C73D411yescharacteristic
148#102×C73D411yescharacteristic
149#102×C73D411yescharacteristic
150#102×C73D411yescharacteristic
151#101×C73—22no—
152#100×C73—22no—
153#97×C73—21no—
154#97×C73—21no—
155C4×C8×C73—21no—
156C4×C8×C73—21no—
157C4×C8×C73—41no—
158#95×C73—41no—
159C24×C73—21no—
160#41×C73—21no—
161#41×C73—21no—
162#41×C73—21no—
163#41×C73—21no—
164#41×C73—21no—
165#41×C73—21no—
166#41×C73—21no—
167#41×C73—21no—
168C2×Q8×C73—21no—
169C2×Q8×C73—21no—
170C2×Q8×C73—21no—
171C2×Q8×C73—21no—
172C2×Q8×C73—21no—
173C2×Q8×C73—21no—
174C2×Q8×C73—41no—
175C2×Q8×C73C2×D411yescharacteristic
176C2×Q8×C73C2×D411yescharacteristic
177C2×D4×C73—21no—
178C2×D4×C73—21no—
179C2×D4×C73—21no—
180C2×D4×C73—21no—
181C2×D4×C73—21no—
182C2×D4×C73—21no—
183C2×D4×C73—21no—
184C2×D4×C73—21no—
185C2×D4×C73—41no—
186C2×D4×C73—41no—
187C2×D4×C73—41no—
188C2×D4×C73C2×D411yescharacteristic
189C2×D4×C73C2×D411yescharacteristic
190C22×C4×C73—21no—
191C22×C4×C73—21no—
192C22×C4×C73—21no—
193C22×C4×C73—21no—
194C22×C4×C73—21no—
195C22×C4×C73—21no—
196C22×C4×C73C2411yescharacteristic
197Q16×C73—42no—
198SD16×C73—42no—
199SD16×C73—42no—
200D8×C73—42no—
201M16×C73—21no—
202M16×C73—21no—
203M16×C73—21no—
204M16×C73—21no—
205M16×C73—21no—
206M16×C73—21no—
207M16×C73—42no—
208M16×C73—42no—
209M16×C73#4112yes—
210M16×C73#4112yes—
211C2×C8×C73—21no—
212C2×C8×C73—21no—
213C2×C8×C73—21no—
214C2×C8×C73—21no—
215C2×C8×C73—21no—
216C2×C8×C73—21no—
217C2×C8×C73—21no—
218C2×C8×C73—21no—
219C2×C8×C73—42no—
220C2×C8×C73—42no—
221C2×C8×C73C2×D411yescharacteristic
222C2×C8×C73C2×D411yescharacteristic
223C2×C8×C73C2×D411yescharacteristic
224C2×C8×C73C2×D411yescharacteristic
225C4⋊C4×C73—21no—
226C4⋊C4×C73—21no—
227C4⋊C4×C73—21no—
228C4⋊C4×C73—21no—
229C4⋊C4×C73—41no—
230C4⋊C4×C73—41no—
231C4⋊C4×C73—41no—
232C4⋊C4×C73—41no—
233C4⋊C4×C73—41no—
234C4⋊C4×C73—41no—
235C4⋊C4×C73C2×D411yescharacteristic
236C4⋊C4×C73C2×D411yescharacteristic
237C4⋊C4×C73C2×D411yescharacteristic
238C4⋊C4×C73C2×D411yescharacteristic
239C22⋊C4×C73—21no—
240C22⋊C4×C73—21no—
241C22⋊C4×C73—41no—
242C22⋊C4×C73—41no—
243C22⋊C4×C73—41no—
244C22⋊C4×C73—41no—
245C22⋊C4×C73—41no—
246C22⋊C4×C73—41no—
247C22⋊C4×C73—44no—
248C42×C73—21no—
249C42×C73—21no—
250C42×C73—21no—
251C42×C73#4112yes—
252C23×C73—21no—
253C23×C73—21no—
254C23×C73—41no—
255C23×C73—41no—
256C23×C73—41no—
257C23×C73—81no—
258C23×C73—81no—
259C23×C73H(5,𝔽2)11yescharacteristic
260Q8×C73—21no—
261Q8×C73—21no—
262Q8×C73—21no—
263Q8×C73—21no—
264Q8×C73—41no—
265Q8×C73—41no—
266Q8×C73—41no—
267Q8×C73—41no—
268Q8×C73—161no—
269D4×C73—21no—
270D4×C73—21no—
271D4×C73—21no—
272D4×C73—21no—
273D4×C73—41no—
274D4×C73—41no—
275D4×C73—41no—
276D4×C73—41no—
277D4×C73—41no—
278D4×C73—41no—
279D4×C73—41no—
280D4×C73—41no—
281D4×C73—161no—
282D4×C73—161no—
283D4×C73—161no—
284C2×C4×C73—22no—
285C2×C4×C73—21no—
286C2×C4×C73—21no—
287C2×C4×C73—21no—
288C2×C4×C73—21no—
289C2×C4×C73—21no—
290C2×C4×C73—21no—
291C2×C4×C73—41no—
292C2×C4×C73—41no—
293C2×C4×C73—41no—
294C2×C4×C73—41no—
295C2×C4×C73—41no—
296C2×C4×C73—41no—
297C2×C4×C73—41no—
298C2×C4×C73—41no—
299C2×C4×C73—41no—
300C2×C4×C73—41no—
301C2×C4×C73—41no—
302C2×C4×C73—81no—
303C2×C4×C73—81no—
304C2×C4×C73C22×D411yescharacteristic
305C2×C4×C73C22×D411yescharacteristic
306C2×C4×C73C2×#4111yescharacteristic
307C2×C4×C73C2×#4111yescharacteristic
308C2×C4×C73C2×#4111yescharacteristic
309C2×C4×C73H(5,𝔽2)11yescharacteristic
310C8×C73—21no—
311C8×C73—21no—
312C8×C73—21no—
313C8×C73—21no—
314C8×C73—22no—
315C8×C73—22no—
316C8×C73—41no—
317C8×C73—41no—
318C22×C73—21no—
319C22×C73—21no—
320C22×C73—41no—
321C22×C73—41no—
322C22×C73—41no—
323C22×C73—41no—
324C22×C73—41no—
325C22×C73—41no—
326C22×C73—82no—
327C22×C73—81no—
328C22×C73—81no—
329C22×C73—81no—
330C22×C73—161no—
331C22×C73#53811yescharacteristic
332C22×C73D4211yescharacteristic
333C22×C73#55511yescharacteristic
334C4×C73—42no—
335C4×C73—41no—
336C4×C73—41no—
337C4×C73—41no—
338C4×C73—41no—
339C4×C73—41no—
340C4×C73—41no—
341C4×C73—81no—
342C4×C73—81no—
343C4×C73—81no—
344C4×C73#53211yescharacteristic
345C4×C73#53211yescharacteristic
346C4×C73#54611yescharacteristic
347C4×C73#54611yescharacteristic
348#28937C7311yesmaximal, characteristic, direct product factor, Sylow
349C2×C73—21no—
350C2×C73—21no—
351C2×C73—81no—
352C2×C73—81no—
353C2×C73—161no—
354C2×C73#255511yescharacteristic
355C2×C73#329011yescharacteristic
356C2×C73#329011yescharacteristic
357#3137C2×C7311yescharacteristic, complemented
358#3136C2×C7311yescharacteristic, complemented
359#3063C2×C7311yescharacteristic, complemented
360#3062C2×C7311yescharacteristic
361#2061C2×C7311yescharacteristic, complemented
362#2040C2×C7311yescharacteristic, complemented
363#2004C2×C7311yescharacteristic, complemented
364#2003C2×C7311yescharacteristic, complemented
365#1958C2×C7311yescharacteristic, complemented
366#1931C2×C7311yescharacteristic, complemented
367#1930C2×C7311yescharacteristic, complemented
368#1908C2×C7311yescharacteristic, complemented
369#1907C2×C7311yescharacteristic, complemented
370#1764C2×C7311yescharacteristic, complemented
371#1764C2×C7311yescharacteristic, complemented
372C73#2893711yescharacteristic, direct product factor, Sylow
373C2×#137C22×C7311yescharacteristic
374C2×AGL(1,ℤ/8)C22×C7311yescharacteristic
375C2×#131C22×C7311yescharacteristic
376C2×#131C22×C7311yescharacteristic
377#544C22×C7311yescharacteristic
378#537C22×C7311yescharacteristic
379#536C22×C7311yescharacteristic
380#535C22×C7311yescharacteristic
381C2×#124C22×C7311yescharacteristic
382#491—21no—
383#490—21no—
384#489—21no—
385#489—21no—
386#488—21no—
387#488—21no—
388#487—21no—
389#486—21no—
390#470—21no—
391#469—21no—
392#468—21no—
393#468—21no—
394#467—21no—
395#466—21no—
396#465—21no—
397#465—21no—
398#428C22×C7311yescharacteristic
399#428C22×C7311yescharacteristic
400C2×#104C22×C7311yescharacteristic
401C2×#104C22×C7311yescharacteristic
402#419C22×C7311yescharacteristic
403#418C22×C7311yescharacteristic
404#417C22×C7311yescharacteristic
405#417C22×C7311yescharacteristic
406#416C22×C7311yescharacteristic
407#416C22×C7311yescharacteristic
408C2×#103C22×C7311yescharacteristic
409C2×#103C22×C7311yescharacteristic
410C2×#102C22×C7311yescharacteristic
411C2×#102C22×C7311yescharacteristic
412C2×#101C22×C7311yescharacteristic
413C2×#100C22×C7311yescharacteristic
414#405C22×C7311yescharacteristic
415#405C22×C7311yescharacteristic
416C2×C4×C8C22×C7311yescharacteristic
417#382C22×C7311yescharacteristic
418#343C22×C7311yescharacteristic
419#343C22×C7311yescharacteristic
420#341C22×C7311yescharacteristic
421#341C22×C7311yescharacteristic
422#339C22×C7311yescharacteristic
423#339C22×C7311yescharacteristic
424C2×#41C23×C7311yescharacteristic
425C2×#41C23×C7311yescharacteristic
426C22×Q8C23×C7311yescharacteristic
427C22×D4C23×C7311yescharacteristic
428#137—22no—
429#137—41no—
430AGL(1,ℤ/8)—22no—
431AGL(1,ℤ/8)—41no—
432C2×Q16—21no—
433C2×SD16—21no—
434C2×SD16—21no—
435C2×D8—21no—
436#131—22no—
437#131—22no—
438#131—41no—
439#131—41no—
440C2×M16—21no—
441C2×M16—21no—
442C2×M16C23×C7311yescharacteristic
443C2×M16C23×C7311yescharacteristic
444C2×M16C23×C7311yescharacteristic
445C2×M16C23×C7311yescharacteristic
446C22×C8—21no—
447C22×C8—21no—
448C22×C8C23×C7311yescharacteristic
449C22×C8C23×C7311yescharacteristic
450C4⋊Q8—21no—
451C4⋊Q8—21no—
452C4⋊Q8—21no—
453#127—21no—
454#125—21no—
455#125—21no—
456#124—21no—
457#124—21no—
458#124—22no—
459#124—41no—
460#123—41no—
461C22⋊Q8—21no—
462C22⋊Q8—21no—
463C22⋊Q8—21no—
464C22⋊Q8—21no—
465C22⋊Q8—41no—
466#121—21no—
467#121—21no—
468#121—21no—
469#121—21no—
470#121—41no—
471#120—41no—
472#117C23×C7311yescharacteristic
473#117C23×C7311yescharacteristic
474C2×C4⋊C4C23×C7311yescharacteristic
475C2×C4⋊C4C23×C7311yescharacteristic
476C2×C22⋊C4—41no—
477C2×C42C23×C7311yescharacteristic
478#107—21no—
479#107—21no—
480#106—21no—
481#106—21no—
482#104—22no—
483#104—22no—
484#103—21no—
485#103—21no—
486#103—21no—
487#103—21no—
488#103—21no—
489#103—21no—
490#103—21no—
491#103—21no—
492#103D4×C7311yescharacteristic
493#103D4×C7311yescharacteristic
494#103D4×C7311yescharacteristic
495#103D4×C7311yescharacteristic
496#102—21no—
497#102—21no—
498#102—21no—
499#102—21no—
500#102—21no—
501#102—21no—
502#102—21no—
503#102—21no—
504#102D4×C7311yescharacteristic
505#102D4×C7311yescharacteristic
506#102D4×C7311yescharacteristic
507#102D4×C7311yescharacteristic
508#101—22no—
509#100—22no—
510#97—21no—
511#97—21no—
512C4×C8—21no—
513C4×C8—21no—
514C4×C8—41no—
515#95—41no—
516C24—21no—
517#41—21no—
518#41—21no—
519#41—21no—
520#41—21no—
521#41—21no—
522#41—21no—
523#41—21no—
524#41—21no—
525C2×Q8—21no—
526C2×Q8—21no—
527C2×Q8—21no—
528C2×Q8—21no—
529C2×Q8—21no—
530C2×Q8—21no—
531C2×Q8—41no—
532C2×Q8C2×D4×C7311yescharacteristic
533C2×Q8C2×D4×C7311yescharacteristic
534C2×D4—21no—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—41no—
543C2×D4—41no—
544C2×D4—41no—
545C2×D4C2×D4×C7311yescharacteristic
546C2×D4C2×D4×C7311yescharacteristic
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4C24×C7311yescharacteristic
554Q16—42no—
555SD16—42no—
556SD16—42no—
557D8—42no—
558M16—21no—
559M16—21no—
560M16—21no—
561M16—21no—
562M16—21no—
563M16—21no—
564M16—42no—
565M16—42no—
566M16#41×C7312yes—
567M16#41×C7312yes—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—21no—
574C2×C8—21no—
575C2×C8—21no—
576C2×C8—42no—
577C2×C8—42no—
578C2×C8C2×D4×C7311yescharacteristic
579C2×C8C2×D4×C7311yescharacteristic
580C2×C8C2×D4×C7311yescharacteristic
581C2×C8C2×D4×C7311yescharacteristic
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—41no—
587C4⋊C4—41no—
588C4⋊C4—41no—
589C4⋊C4—41no—
590C4⋊C4—41no—
591C4⋊C4—41no—
592C4⋊C4C2×D4×C7311yescharacteristic
593C4⋊C4C2×D4×C7311yescharacteristic
594C4⋊C4C2×D4×C7311yescharacteristic
595C4⋊C4C2×D4×C7311yescharacteristic
596C22⋊C4—21no—
597C22⋊C4—21no—
598C22⋊C4—41no—
599C22⋊C4—41no—
600C22⋊C4—41no—
601C22⋊C4—41no—
602C22⋊C4—41no—
603C22⋊C4—41no—
604C22⋊C4—44no—
605C42—21no—
606C42—21no—
607C42—21no—
608C42#41×C7312yes—
609C23—21no—
610C23—21no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—81no—
615C23—81no—
616C23H(5,𝔽2)×C7311yescharacteristic
617Q8—21no—
618Q8—21no—
619Q8—21no—
620Q8—21no—
621Q8—41no—
622Q8—41no—
623Q8—41no—
624Q8—41no—
625Q8—161no—
626D4—21no—
627D4—21no—
628D4—21no—
629D4—21no—
630D4—41no—
631D4—41no—
632D4—41no—
633D4—41no—
634D4—41no—
635D4—41no—
636D4—41no—
637D4—41no—
638D4—161no—
639D4—161no—
640D4—161no—
641C2×C4—22no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—81no—
660C2×C4—81no—
661C2×C4C22×D4×C7311yescharacteristic
662C2×C4C22×D4×C7311yescharacteristic
663C2×C4C2×#41×C7311yescharacteristic
664C2×C4C2×#41×C7311yescharacteristic
665C2×C4C2×#41×C7311yescharacteristic
666C2×C4H(5,𝔽2)×C7311yescharacteristic
667C8—21no—
668C8—21no—
669C8—21no—
670C8—21no—
671C8—22no—
672C8—22no—
673C8—41no—
674C8—41no—
675C22—21no—
676C22—21no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—82no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22—161no—
688C22#538×C7311yescharacteristic
689C22D42×C7311yescharacteristic
690C22#555×C7311yescharacteristic
691C4—42no—
692C4—41no—
693C4—41no—
694C4—41no—
695C4—41no—
696C4—41no—
697C4—41no—
698C4—81no—
699C4—81no—
700C4—81no—
701C4#532×C7311yescharacteristic
702C4#532×C7311yescharacteristic
703C4#546×C7311yescharacteristic
704C4#546×C7311yescharacteristic
705C2—21no—
706C2—21no—
707C2—81no—
708C2—81no—
709C2—161no—
710C2C73×#255511yescharacteristic
711C2C73×#329011yescharacteristic
712C2C73×#329011yescharacteristic
subgroupG/H
center, socleC22×C73D42
commutator, Frattini, cosocleC22×C4C24×C73
prime radicalC73×#3062C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C73 ◁ C22×C4×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#3137C2semidirect
2. C73×#3136C2semidirect
3. C73×#3063C2semidirect
5. C73×#2061C2semidirect
6. C73×#2040C2semidirect
7. C73×#2004C2semidirect
8. C73×#2003C2semidirect
9. C73×#1958C2semidirect
10. C73×#1931C2semidirect
11. C73×#1930C2semidirect
12. C73×#1908C2semidirect
13. C73×#1907C2semidirect
14. C73×#1764C2semidirect
15. C73×#1764C2semidirect
348. #28937C73direct (N × H)
357. #3137C2×C73semidirect
358. #3136C2×C73semidirect
359. #3063C2×C73semidirect
361. #2061C2×C73semidirect
362. #2040C2×C73semidirect
363. #2004C2×C73semidirect
364. #2003C2×C73semidirect
365. #1958C2×C73semidirect
366. #1931C2×C73semidirect
367. #1930C2×C73semidirect
368. #1908C2×C73semidirect
369. #1907C2×C73semidirect
370. #1764C2×C73semidirect
371. #1764C2×C73semidirect
372. C73#28937direct (N × H)

Maximal subgroups

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

subgroupindex
C73×#31372
C73×#31362
C73×#30632
C73×#30622
C73×#20612
C73×#20402
C73×#20042
C73×#20032
C73×#19582
C73×#19312
C73×#19302
C73×#19082
C73×#19072
C73×#17642
#2893773