Finite Group Databasebeta

← C73×#22920 #32932324

Subgroups — C73×#22920 #32932324

Order 18688.

886 conjugacy classes of subgroups.

The subgroup lattice has 624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#483×C73C211yesmaximal, characteristic
2C73×#2360C211yesmaximal, characteristic
3C73×#2344C211yesmaximal, characteristic
4C73×#1941C211yesmaximal, characteristic, complemented
5C73×#1933C211yesmaximal, characteristic, complemented
6C73×#1927C211yesmaximal, characteristic, complemented
7C73×#1920C211yesmaximal, characteristic, complemented
8C73×#1919C211yesmaximal, characteristic, complemented
9C73×#1892C211yesmaximal, characteristic
10C73×#1865C211yesmaximal, characteristic, complemented
11C73×#1853C211yesmaximal, characteristic
12C4×#106×C73C211yesmaximal, characteristic, complemented
13C4×#103×C73C211yesmaximal, characteristic, complemented
14C8×C22⋊C4×C73C211yesmaximal, characteristic
15C2×#340×C73C211yesmaximal, characteristic
16C23×C8×C73C2211yescharacteristic
17C2×C22⋊Q8×C73C2211yescharacteristic
18C2×C4×Q8×C73C2211yescharacteristic
19C2×#117×C73—21no—
20C22×C4⋊C4×C73C2211yescharacteristic
21C22×C4⋊C4×C73C2211yescharacteristic
22#483×C73C418yescomplemented
23C2×#106×C73C2211yescharacteristic
24C2×#106×C73C2211yescharacteristic
25C2×#106×C73C2211yescharacteristic
26C2×#106×C73C2211yescharacteristic
27C2×#103×C73C2211yescharacteristic
28C2×#103×C73C2211yescharacteristic
29C2×#103×C73C2211yescharacteristic
30C2×#103×C73C2211yescharacteristic
31C2×C22⋊C8×C73C2211yescharacteristic
32C2×C4×C8×C73C2211yescharacteristic
33C2×C4×C8×C73C2211yescharacteristic
34#391×C73C2211yescharacteristic
35#389×C73—21no—
36#389×C73C2211yescharacteristic
37#389×C73C2211yescharacteristic
38#389×C73C2211yescharacteristic
39#387×C73—21no—
40#387×C73—21no—
41#387×C73—21no—
42#385×C73—21no—
43#381×C73—21no—
44#380×C73C2211yescharacteristic
45C4×C4⋊C4×C73C2211yescharacteristic
46C4×C4⋊C4×C73C2211yescharacteristic
47C4×C4⋊C4×C73C2211yescharacteristic
48C4×C22⋊C4×C73—21no—
49C4×C22⋊C4×C73C2211yescharacteristic
50#340×C73C2211yescharacteristic
51#340×C73C2211yescharacteristic
52#340×C73C2211yescharacteristic
53#340×C73C2211yescharacteristic
54#340×C73C2211yescharacteristic
55#340×C73C2211yescharacteristic
56#340×C73C2211yescharacteristic
57#340×C73C2211yescharacteristic
58#336×C73C2211yescharacteristic
59#336×C73C2211yescharacteristic
60C22×Q8×C73C2311yescharacteristic
61C23×C4×C73—21no—
62C23×C4×C73—21no—
63C23×C4×C73C2311yescharacteristic
64C22×C8×C73—22no—
65C22×C8×C73—22no—
66C22×C8×C73—41no—
67C22×C8×C73C2311yescharacteristic
68C22×C8×C73C2311yescharacteristic
69C22×C8×C73C2311yescharacteristic
70C22×C8×C73C2311yescharacteristic
71C22⋊Q8×C73—22no—
72C22⋊Q8×C73C2×C414yes—
73C4×Q8×C73—22no—
74C4×Q8×C73—41no—
75#117×C73—44no—
76C2×C4⋊C4×C73—21no—
77C2×C4⋊C4×C73—21no—
78C2×C4⋊C4×C73—22no—
79C2×C4⋊C4×C73—22no—
80C2×C4⋊C4×C73—21no—
81C2×C4⋊C4×C73—21no—
82C2×C4⋊C4×C73—21no—
83C2×C4⋊C4×C73—21no—
84C2×C4⋊C4×C73—21no—
85C2×C4⋊C4×C73—41no—
86C2×C4⋊C4×C73C2×C414yes—
87C2×C4⋊C4×C73C2311yescharacteristic
88C2×C4⋊C4×C73C2311yescharacteristic
89C2×C4⋊C4×C73C2311yescharacteristic
90C2×C4⋊C4×C73C2311yescharacteristic
91C2×C4⋊C4×C73C2311yescharacteristic
92C2×C4⋊C4×C73C2311yescharacteristic
93C2×C4⋊C4×C73C2311yescharacteristic
94C2×C22⋊C4×C73—21no—
95C2×C22⋊C4×C73—21no—
96C2×C22⋊C4×C73D411yescharacteristic
97C2×C22⋊C4×C73D411yescharacteristic
98C2×C42×C73—21no—
99C2×C42×C73—21no—
100C2×C42×C73—21no—
101C2×C42×C73—21no—
102C2×C42×C73C2311yescharacteristic
103C2×C42×C73C2311yescharacteristic
104#106×C73—22no—
105#106×C73—41no—
106#106×C73C2×C414yescomplemented
107#106×C73C2×C414yescomplemented
108#103×C73—22no—
109#103×C73—41no—
110#103×C73C2×C414yescomplemented
111#103×C73C2×C414yescomplemented
112C22⋊C8×C73C2×C414yes—
113C4×C8×C73—22no—
114C4×C8×C73—41no—
115#95×C73—21no—
116#95×C73—21no—
117#95×C73—21no—
118#95×C73—21no—
119#95×C73—21no—
120#95×C73—21no—
121#95×C73—21no—
122#95×C73—21no—
123#95×C73—21no—
124#95×C73D411yescharacteristic
125#95×C73D411yescharacteristic
126C24×C73C2×D411yescharacteristic
127C2×Q8×C73—21no—
128C2×Q8×C73—21no—
129C2×Q8×C73—21no—
130C2×Q8×C73—21no—
131C2×Q8×C73—21no—
132C2×Q8×C73C22×C412yes—
133C22×C4×C73—21no—
134C22×C4×C73—21no—
135C22×C4×C73—21no—
136C22×C4×C73—21no—
137C22×C4×C73—24no—
138C22×C4×C73—21no—
139C22×C4×C73—21no—
140C22×C4×C73—21no—
141C22×C4×C73—21no—
142C22×C4×C73—21no—
143C22×C4×C73—21no—
144C22×C4×C73—21no—
145C22×C4×C73—21no—
146C22×C4×C73—42no—
147C22×C4×C73—42no—
148C22×C4×C73—42no—
149C22×C4×C73—42no—
150C22×C4×C73—81no—
151C22×C4×C73C22×C412yes—
152C22×C4×C73C2×D411yescharacteristic
153C22×C4×C73C2×D411yescharacteristic
154C22×C4×C73C2×D411yescharacteristic
155C22×C4×C73C2×D411yescharacteristic
156C22×C4×C73C2×D411yescharacteristic
157C22×C4×C73#4112yes—
158C22×C4×C73C2411yescharacteristic
159C2×C8×C73—21no—
160C2×C8×C73—21no—
161C2×C8×C73—21no—
162C2×C8×C73—21no—
163C2×C8×C73—21no—
164C2×C8×C73—21no—
165C2×C8×C73—21no—
166C2×C8×C73—21no—
167C2×C8×C73—21no—
168C2×C8×C73—44no—
169C2×C8×C73C22×C412yes—
170C2×C8×C73C22×C412yes—
171C2×C8×C73#4112yes—
172C4⋊C4×C73—24no—
173C4⋊C4×C73—24no—
174C4⋊C4×C73—21no—
175C4⋊C4×C73—21no—
176C4⋊C4×C73—21no—
177C4⋊C4×C73—21no—
178C4⋊C4×C73—21no—
179C4⋊C4×C73—21no—
180C4⋊C4×C73—21no—
181C4⋊C4×C73—21no—
182C4⋊C4×C73—21no—
183C4⋊C4×C73—21no—
184C4⋊C4×C73—42no—
185C4⋊C4×C73—42no—
186C4⋊C4×C73—42no—
187C4⋊C4×C73—42no—
188C4⋊C4×C73—81no—
189C4⋊C4×C73C22×C412yes—
190C4⋊C4×C73C22×C412yes—
191C4⋊C4×C73C22×C412yes—
192C4⋊C4×C73#4112yes—
193C22⋊C4×C73—24no—
194C22⋊C4×C73—22no—
195C22⋊C4×C73—42no—
196C22⋊C4×C73SD1614yes—
197C42×C73—21no—
198C42×C73—21no—
199C42×C73—21no—
200C42×C73—21no—
201C42×C73—42no—
202C42×C73—42no—
203C42×C73—42no—
204C42×C73—81no—
205C23×C73—21no—
206C23×C73—21no—
207C23×C73—21no—
208C23×C73—21no—
209C23×C73C4×D412yes—
210C23×C73C2×SD1612yes—
211C23×C73#13512yes—
212C23×C73C22×D411yescharacteristic
213Q8×C73—22no—
214Q8×C73—22no—
215Q8×C73—41no—
216Q8×C73—41no—
217C2×C4×C73—21no—
218C2×C4×C73—21no—
219C2×C4×C73—21no—
220C2×C4×C73—21no—
221C2×C4×C73—21no—
222C2×C4×C73—21no—
223C2×C4×C73—22no—
224C2×C4×C73—22no—
225C2×C4×C73—22no—
226C2×C4×C73—22no—
227C2×C4×C73—22no—
228C2×C4×C73—22no—
229C2×C4×C73—22no—
230C2×C4×C73—22no—
231C2×C4×C73—21no—
232C2×C4×C73—22no—
233C2×C4×C73—21no—
234C2×C4×C73—21no—
235C2×C4×C73—21no—
236C2×C4×C73—21no—
237C2×C4×C73—21no—
238C2×C4×C73—41no—
239C2×C4×C73—41no—
240C2×C4×C73—41no—
241C2×C4×C73—41no—
242C2×C4×C73—41no—
243C2×C4×C73—41no—
244C2×C4×C73—41no—
245C2×C4×C73—41no—
246C2×C4×C73—41no—
247C2×C4×C73—41no—
248C2×C4×C73—48no—
249C2×C4×C73—41no—
250C2×C4×C73—41no—
251C2×C4×C73—41no—
252C2×C4×C73—41no—
253C2×C4×C73—41no—
254C2×C4×C73—41no—
255C2×C4×C73—41no—
256C2×C4×C73—41no—
257C2×C4×C73—41no—
258C2×C4×C73—84no—
259C2×C4×C73C4×D412yes—
260C2×C4×C73C2×SD1612yes—
261C2×C4×C73C2×SD1612yes—
262C2×C4×C73C23×C411yescharacteristic
263C2×C4×C73C2×#4111yescharacteristic
264C2×C4×C73C2×#4111yescharacteristic
265C2×C4×C73C2×#4111yescharacteristic
266C2×C4×C73H(5,𝔽2)11yescharacteristic
267C2×C4×C732−1+411yescharacteristic
268C8×C73—22no—
269C8×C73—22no—
270C8×C73—22no—
271C8×C73—41no—
272C22×C73—22no—
273C22×C73—22no—
274C22×C73—22no—
275C22×C73—22no—
276C22×C73—22no—
277C22×C73—22no—
278C22×C73C4×SD1614yes—
279C22×C73C2×C4×D411yescharacteristic
280C22×C73#54611yescharacteristic
281C22×C73#54711yescharacteristic
282C22×C73C22×SD1611yescharacteristic
283C22×C73C2×#13511yescharacteristic
284C22×C73#57711yescharacteristic
285C22×C73#57811yescharacteristic
286C4×C73—22no—
287C4×C73—22no—
288C4×C73—22no—
289C4×C73—41no—
290C4×C73—42no—
291C4×C73—42no—
292C4×C73—42no—
293C4×C73—42no—
294C4×C73—41no—
295C4×C73—42no—
296C4×C73—81no—
297C4×C73—81no—
298C4×C73—81no—
299C4×C73C4×#4111yescharacteristic
300C4×C73#52011yescharacteristic
301C4×C73#55111yescharacteristic
302C4×C73#55211yescharacteristic
303#22920C7311yesmaximal, characteristic, direct product factor, Sylow
304C2×C73—24no—
305C2×C73#235911yescharacteristic
306C2×C73C2×C4×SD1611yescharacteristic
307C2×C73#294711yescharacteristic
308C2×C73#329611yescharacteristic
309C2×C73#329811yescharacteristic
310C2×C73#333511yescharacteristic
311C2×C73#333611yescharacteristic
312C2×#483C2×C7311yescharacteristic
313#2360C2×C7311yescharacteristic
314#2344C2×C7311yescharacteristic
315#1941C2×C7311yescharacteristic, complemented
316#1933C2×C7311yescharacteristic, complemented
317#1927C2×C7311yescharacteristic, complemented
318#1920C2×C7311yescharacteristic, complemented
319#1919C2×C7311yescharacteristic, complemented
320#1892C2×C7311yescharacteristic
321#1865C2×C7311yescharacteristic, complemented
322#1853C2×C7311yescharacteristic
323C4×#106C2×C7311yescharacteristic, complemented
324C4×#103C2×C7311yescharacteristic, complemented
325C8×C22⋊C4C2×C7311yescharacteristic
326C2×#340C2×C7311yescharacteristic
327C73#2292011yescharacteristic, direct product factor, Sylow
328C23×C8C22×C7311yescharacteristic
329C2×C22⋊Q8C22×C7311yescharacteristic
330C2×C4×Q8C22×C7311yescharacteristic
331C2×#117—21no—
332C22×C4⋊C4C22×C7311yescharacteristic
333C22×C4⋊C4C22×C7311yescharacteristic
334#483C4×C7318yescomplemented
335C2×#106C22×C7311yescharacteristic
336C2×#106C22×C7311yescharacteristic
337C2×#106C22×C7311yescharacteristic
338C2×#106C22×C7311yescharacteristic
339C2×#103C22×C7311yescharacteristic
340C2×#103C22×C7311yescharacteristic
341C2×#103C22×C7311yescharacteristic
342C2×#103C22×C7311yescharacteristic
343C2×C22⋊C8C22×C7311yescharacteristic
344C2×C4×C8C22×C7311yescharacteristic
345C2×C4×C8C22×C7311yescharacteristic
346#391C22×C7311yescharacteristic
347#389—21no—
348#389C22×C7311yescharacteristic
349#389C22×C7311yescharacteristic
350#389C22×C7311yescharacteristic
351#387—21no—
352#387—21no—
353#387—21no—
354#385—21no—
355#381—21no—
356#380C22×C7311yescharacteristic
357C4×C4⋊C4C22×C7311yescharacteristic
358C4×C4⋊C4C22×C7311yescharacteristic
359C4×C4⋊C4C22×C7311yescharacteristic
360C4×C22⋊C4—21no—
361C4×C22⋊C4C22×C7311yescharacteristic
362#340C22×C7311yescharacteristic
363#340C22×C7311yescharacteristic
364#340C22×C7311yescharacteristic
365#340C22×C7311yescharacteristic
366#340C22×C7311yescharacteristic
367#340C22×C7311yescharacteristic
368#340C22×C7311yescharacteristic
369#340C22×C7311yescharacteristic
370#336C22×C7311yescharacteristic
371#336C22×C7311yescharacteristic
372C22×Q8C23×C7311yescharacteristic
373C23×C4—21no—
374C23×C4—21no—
375C23×C4C23×C7311yescharacteristic
376C22×C8—22no—
377C22×C8—22no—
378C22×C8—41no—
379C22×C8C23×C7311yescharacteristic
380C22×C8C23×C7311yescharacteristic
381C22×C8C23×C7311yescharacteristic
382C22×C8C23×C7311yescharacteristic
383C22⋊Q8—22no—
384C22⋊Q8C2×C4×C7314yes—
385C4×Q8—22no—
386C4×Q8—41no—
387#117—44no—
388C2×C4⋊C4—21no—
389C2×C4⋊C4—21no—
390C2×C4⋊C4—22no—
391C2×C4⋊C4—22no—
392C2×C4⋊C4—21no—
393C2×C4⋊C4—21no—
394C2×C4⋊C4—21no—
395C2×C4⋊C4—21no—
396C2×C4⋊C4—21no—
397C2×C4⋊C4—41no—
398C2×C4⋊C4C2×C4×C7314yes—
399C2×C4⋊C4C23×C7311yescharacteristic
400C2×C4⋊C4C23×C7311yescharacteristic
401C2×C4⋊C4C23×C7311yescharacteristic
402C2×C4⋊C4C23×C7311yescharacteristic
403C2×C4⋊C4C23×C7311yescharacteristic
404C2×C4⋊C4C23×C7311yescharacteristic
405C2×C4⋊C4C23×C7311yescharacteristic
406C2×C22⋊C4—21no—
407C2×C22⋊C4—21no—
408C2×C22⋊C4D4×C7311yescharacteristic
409C2×C22⋊C4D4×C7311yescharacteristic
410C2×C42—21no—
411C2×C42—21no—
412C2×C42—21no—
413C2×C42—21no—
414C2×C42C23×C7311yescharacteristic
415C2×C42C23×C7311yescharacteristic
416#106—22no—
417#106—41no—
418#106C2×C4×C7314yescomplemented
419#106C2×C4×C7314yescomplemented
420#103—22no—
421#103—41no—
422#103C2×C4×C7314yescomplemented
423#103C2×C4×C7314yescomplemented
424C22⋊C8C2×C4×C7314yes—
425C4×C8—22no—
426C4×C8—41no—
427#95—21no—
428#95—21no—
429#95—21no—
430#95—21no—
431#95—21no—
432#95—21no—
433#95—21no—
434#95—21no—
435#95—21no—
436#95D4×C7311yescharacteristic
437#95D4×C7311yescharacteristic
438C24C2×D4×C7311yescharacteristic
439C2×Q8—21no—
440C2×Q8—21no—
441C2×Q8—21no—
442C2×Q8—21no—
443C2×Q8—21no—
444C2×Q8C22×C4×C7312yes—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—24no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—42no—
459C22×C4—42no—
460C22×C4—42no—
461C22×C4—42no—
462C22×C4—81no—
463C22×C4C22×C4×C7312yes—
464C22×C4C2×D4×C7311yescharacteristic
465C22×C4C2×D4×C7311yescharacteristic
466C22×C4C2×D4×C7311yescharacteristic
467C22×C4C2×D4×C7311yescharacteristic
468C22×C4C2×D4×C7311yescharacteristic
469C22×C4#41×C7312yes—
470C22×C4C24×C7311yescharacteristic
471C2×C8—21no—
472C2×C8—21no—
473C2×C8—21no—
474C2×C8—21no—
475C2×C8—21no—
476C2×C8—21no—
477C2×C8—21no—
478C2×C8—21no—
479C2×C8—21no—
480C2×C8—44no—
481C2×C8C22×C4×C7312yes—
482C2×C8C22×C4×C7312yes—
483C2×C8#41×C7312yes—
484C4⋊C4—24no—
485C4⋊C4—24no—
486C4⋊C4—21no—
487C4⋊C4—21no—
488C4⋊C4—21no—
489C4⋊C4—21no—
490C4⋊C4—21no—
491C4⋊C4—21no—
492C4⋊C4—21no—
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—42no—
497C4⋊C4—42no—
498C4⋊C4—42no—
499C4⋊C4—42no—
500C4⋊C4—81no—
501C4⋊C4C22×C4×C7312yes—
502C4⋊C4C22×C4×C7312yes—
503C4⋊C4C22×C4×C7312yes—
504C4⋊C4#41×C7312yes—
505C22⋊C4—24no—
506C22⋊C4—22no—
507C22⋊C4—42no—
508C22⋊C4SD16×C7314yes—
509C42—21no—
510C42—21no—
511C42—21no—
512C42—21no—
513C42—42no—
514C42—42no—
515C42—42no—
516C42—81no—
517C23—21no—
518C23—21no—
519C23—21no—
520C23—21no—
521C23C4×D4×C7312yes—
522C23C2×SD16×C7312yes—
523C23#135×C7312yes—
524C23C22×D4×C7311yescharacteristic
525Q8—22no—
526Q8—22no—
527Q8—41no—
528Q8—41no—
529C2×C4—21no—
530C2×C4—21no—
531C2×C4—21no—
532C2×C4—21no—
533C2×C4—21no—
534C2×C4—21no—
535C2×C4—22no—
536C2×C4—22no—
537C2×C4—22no—
538C2×C4—22no—
539C2×C4—22no—
540C2×C4—22no—
541C2×C4—22no—
542C2×C4—22no—
543C2×C4—21no—
544C2×C4—22no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—48no—
551C2×C4—41no—
552C2×C4—41no—
553C2×C4—41no—
554C2×C4—41no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—84no—
571C2×C4C4×D4×C7312yes—
572C2×C4C2×SD16×C7312yes—
573C2×C4C2×SD16×C7312yes—
574C2×C4C23×C4×C7311yescharacteristic
575C2×C4C2×#41×C7311yescharacteristic
576C2×C4C2×#41×C7311yescharacteristic
577C2×C4C2×#41×C7311yescharacteristic
578C2×C4H(5,𝔽2)×C7311yescharacteristic
579C2×C42−1+4×C7311yescharacteristic
580C8—22no—
581C8—22no—
582C8—22no—
583C8—41no—
584C22—22no—
585C22—22no—
586C22—22no—
587C22—22no—
588C22—22no—
589C22—22no—
590C22C4×SD16×C7314yes—
591C22C2×C4×D4×C7311yescharacteristic
592C22#546×C7311yescharacteristic
593C22#547×C7311yescharacteristic
594C22C22×SD16×C7311yescharacteristic
595C22C2×#135×C7311yescharacteristic
596C22#577×C7311yescharacteristic
597C22#578×C7311yescharacteristic
598C4—22no—
599C4—22no—
600C4—22no—
601C4—41no—
602C4—42no—
603C4—41no—
604C4—42no—
605C4—42no—
606C4—42no—
607C4—42no—
608C4—81no—
609C4—81no—
610C4—81no—
611C4C4×#41×C7311yescharacteristic
612C4#520×C7311yescharacteristic
613C4#551×C7311yescharacteristic
614C4#552×C7311yescharacteristic
615C2—24no—
616C2C73×#235911yescharacteristic
617C2C2×C4×SD16×C7311yescharacteristic
618C2C73×#294711yescharacteristic
619C2C73×#329611yescharacteristic
620C2C73×#329811yescharacteristic
621C2C73×#333511yescharacteristic
622C2C73×#333611yescharacteristic
subgroupG/H
center, socleC23×C73C22×D4
commutatorC2×C4C23×C4×C73
Frattini, cosocleC22×C4C24×C73
prime radicalC24×C73C2×D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C73 ◁ C4×C22⋊C4×C73 ◁ G

Complements

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

NH ≅ G/Ntype
4. C73×#1941C2semidirect
5. C73×#1933C2semidirect
6. C73×#1927C2semidirect
7. C73×#1920C2semidirect
8. C73×#1919C2semidirect
10. C73×#1865C2semidirect
12. C4×#106×C73C2semidirect
13. C4×#103×C73C2semidirect
22. #483×C73C4semidirect
106. #106×C73C2×C4semidirect
107. #106×C73C2×C4semidirect
110. #103×C73C2×C4semidirect
111. #103×C73C2×C4semidirect
303. #22920C73direct (N × H)
315. #1941C2×C73semidirect
316. #1933C2×C73semidirect
317. #1927C2×C73semidirect
318. #1920C2×C73semidirect
319. #1919C2×C73semidirect
321. #1865C2×C73semidirect
323. C4×#106C2×C73semidirect
324. C4×#103C2×C73semidirect
327. C73#22920direct (N × H)
334. #483C4×C73semidirect
418. #106C2×C4×C73semidirect
419. #106C2×C4×C73semidirect
422. #103C2×C4×C73semidirect
423. #103C2×C4×C73semidirect

Maximal subgroups

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

subgroupindex
C2×#483×C732
C73×#23602
C73×#23442
C73×#19412
C73×#19332
C73×#19272
C73×#19202
C73×#19192
C73×#18922
C73×#18652
C73×#18532
C4×#106×C732
C4×#103×C732
C8×C22⋊C4×C732
C2×#340×C732
#2292073