Finite Group Databasebeta

← C73×#26427 #32935831

Subgroups — C73×#26427 #32935831

Order 18688.

840 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#2440C211yesmaximal, characteristic, complemented
2C73×#2363C211yesmaximal, characteristic
3C73×#2099C211yesmaximal, characteristic, complemented
4C73×#2088C211yesmaximal, characteristic, complemented
5C73×#2065C211yesmaximal, characteristic, complemented
6C73×#2023C211yesmaximal, characteristic, complemented
7C73×#1987C211yesmaximal, characteristic, complemented
8C73×#1921C211yesmaximal, characteristic, complemented
9C73×#1895C211yesmaximal, characteristic
10C73×#1874C211yesmaximal, characteristic
11C73×#1862C211yesmaximal, characteristic, complemented
12C73×#1854C211yesmaximal, characteristic, complemented
13C73×#1851C211yesmaximal, characteristic, complemented
14C73×#1802C211yesmaximal, characteristic, complemented
15C73×#1736C211yesmaximal, characteristic, complemented
16C22×M16×C73C2211yescharacteristic
17C2×C4⋊Q8×C73C2211yescharacteristic
18C2×C22⋊Q8×C73—21no—
19C2×#121×C73C2211yescharacteristic
20C2×C4×D4×C73C2211yescharacteristic
21C2×#117×C73C2211yescharacteristic
22C22×C4⋊C4×C73C2211yescharacteristic
23C2×#107×C73C2211yescharacteristic
24C2×#106×C73C2211yescharacteristic
25C2×C4⋊C8×C73C2211yescharacteristic
26C2×C4⋊C8×C73C2211yescharacteristic
27C2×#102×C73C2211yescharacteristic
28C2×#102×C73C2211yescharacteristic
29C2×#102×C73C2211yescharacteristic
30C2×#102×C73C2211yescharacteristic
31C2×C22⋊C8×C73C2211yescharacteristic
32#398×C73—21no—
33#395×C73—21no—
34#390×C73—21no—
35#390×C73C2211yescharacteristic
36#389×C73C2211yescharacteristic
37#389×C73C2211yescharacteristic
38#389×C73C2211yescharacteristic
39#388×C73—21no—
40#386×C73—21no—
41#385×C73—21no—
42#384×C73C2211yescharacteristic
43#380×C73C2211yescharacteristic
44C4×C4⋊C4×C73C2211yescharacteristic
45C4×C22⋊C4×C73—21no—
46C4×C22⋊C4×C73C2211yescharacteristic
47#340×C73C2211yescharacteristic
48#340×C73C2211yescharacteristic
49#340×C73C2211yescharacteristic
50#340×C73C2211yescharacteristic
51#340×C73C2211yescharacteristic
52#340×C73C2211yescharacteristic
53#340×C73C2211yescharacteristic
54#340×C73C2211yescharacteristic
55#340×C73C2211yescharacteristic
56#340×C73C2211yescharacteristic
57#336×C73C2211yescharacteristic
58#336×C73C2211yescharacteristic
59C22×Q8×C73—21no—
60C22×D4×C73—21no—
61C22×D4×C73C2311yescharacteristic
62C23×C4×C73—21no—
63C23×C4×C73—21no—
64C23×C4×C73C2311yescharacteristic
65C2×M16×C73—22no—
66C2×M16×C73—41no—
67C2×M16×C73—41no—
68C22×C8×C73C2311yescharacteristic
69C22×C8×C73C2311yescharacteristic
70C22×C8×C73C2311yescharacteristic
71C22×C8×C73C2311yescharacteristic
72C4⋊Q8×C73—22no—
73C4⋊Q8×C73—41no—
74C22⋊Q8×C73—44no—
75#121×C73—22no—
76#121×C73Q814yescomplemented
77C4×D4×C73—22no—
78C4×D4×C73—41no—
79#117×C73—22no—
80#117×C73—41no—
81C2×C4⋊C4×C73—22no—
82C2×C4⋊C4×C73—21no—
83C2×C4⋊C4×C73—21no—
84C2×C4⋊C4×C73—21no—
85C2×C4⋊C4×C73—21no—
86C2×C4⋊C4×C73—21no—
87C2×C4⋊C4×C73—21no—
88C2×C4⋊C4×C73—21no—
89C2×C4⋊C4×C73—41no—
90C2×C4⋊C4×C73C2311yescharacteristic
91C2×C4⋊C4×C73C2311yescharacteristic
92C2×C4⋊C4×C73C2311yescharacteristic
93C2×C4⋊C4×C73C2311yescharacteristic
94C2×C4⋊C4×C73C2311yescharacteristic
95C2×C4⋊C4×C73C2311yescharacteristic
96C2×C4⋊C4×C73C2311yescharacteristic
97C2×C22⋊C4×C73—21no—
98C2×C22⋊C4×C73—21no—
99C2×C22⋊C4×C73—21no—
100C2×C22⋊C4×C73—21no—
101C2×C22⋊C4×C73—21no—
102C2×C22⋊C4×C73—21no—
103C2×C22⋊C4×C73D411yescharacteristic
104C2×C22⋊C4×C73D411yescharacteristic
105C2×C42×C73—21no—
106C2×C42×C73—21no—
107C2×C42×C73C2311yescharacteristic
108C2×C42×C73C2311yescharacteristic
109#107×C73—22no—
110#106×C73—41no—
111C4⋊C8×C73—41no—
112C4⋊C8×C73—41no—
113#102×C73—22no—
114#102×C73—41no—
115#102×C73—41no—
116#102×C73—41no—
117C22⋊C8×C73—22no—
118#95×C73—21no—
119#95×C73—21no—
120#95×C73—21no—
121#95×C73—21no—
122#95×C73—21no—
123#95×C73D411yescharacteristic
124#95×C73D411yescharacteristic
125C24×C73—21no—
126C24×C73C2×D411yescharacteristic
127C2×Q8×C73—42no—
128C2×Q8×C73—42no—
129C2×Q8×C73—81no—
130C2×D4×C73—24no—
131C2×D4×C73—21no—
132C2×D4×C73—21no—
133C2×D4×C73—21no—
134C2×D4×C73—21no—
135C2×D4×C73—21no—
136C2×D4×C73—81no—
137C2×D4×C73—81no—
138C2×D4×C73C2×Q812yes—
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—21no—
147C22×C4×C73—21no—
148C22×C4×C73—21no—
149C22×C4×C73—21no—
150C22×C4×C73—42no—
151C22×C4×C73—42no—
152C22×C4×C73—42no—
153C22×C4×C73—42no—
154C22×C4×C73—81no—
155C22×C4×C73—81no—
156C22×C4×C73C2×D411yescharacteristic
157C22×C4×C73C2×D411yescharacteristic
158C22×C4×C73C2×D411yescharacteristic
159C22×C4×C73C2×D411yescharacteristic
160C22×C4×C73C2×D411yescharacteristic
161C22×C4×C73C2×Q812yes—
162C22×C4×C73#4112yes—
163C22×C4×C73C2411yescharacteristic
164M16×C73—44no—
165C2×C8×C73—21no—
166C2×C8×C73—21no—
167C2×C8×C73—21no—
168C2×C8×C73—21no—
169C2×C8×C73—21no—
170C2×C8×C73—21no—
171C2×C8×C73—21no—
172C2×C8×C73—21no—
173C2×C8×C73—21no—
174C2×C8×C73—21no—
175C2×C8×C73—21no—
176C2×C8×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—21no—
185C4⋊C4×C73—21no—
186C4⋊C4×C73—21no—
187C4⋊C4×C73—21no—
188C4⋊C4×C73—42no—
189C4⋊C4×C73—42no—
190C4⋊C4×C73—42no—
191C4⋊C4×C73—42no—
192C4⋊C4×C73—42no—
193C4⋊C4×C73—81no—
194C4⋊C4×C73—81no—
195C4⋊C4×C73C2×Q812yes—
196C4⋊C4×C73#4112yes—
197C4⋊C4×C73#4112yes—
198C22⋊C4×C73—24no—
199C22⋊C4×C73—22no—
200C22⋊C4×C73—22no—
201C22⋊C4×C73—42no—
202C22⋊C4×C73—42no—
203C22⋊C4×C73—42no—
204C22⋊C4×C73—42no—
205C22⋊C4×C73—81no—
206C42×C73—21no—
207C42×C73—21no—
208C42×C73—21no—
209C42×C73—21no—
210C42×C73—42no—
211C42×C73—81no—
212C23×C73—21no—
213C23×C73—21no—
214C23×C73—21no—
215C23×C73—21no—
216C23×C73—21no—
217C23×C73—21no—
218C23×C73—22no—
219C23×C73—41no—
220C23×C73—41no—
221C23×C73—41no—
222C23×C73—41no—
223C23×C73—41no—
224C23×C73—41no—
225C23×C73C22⋊Q812yes—
226C23×C73C22×D411yescharacteristic
227Q8×C73—84no—
228D4×C73—22no—
229D4×C73—22no—
230D4×C73—41no—
231D4×C73—41no—
232D4×C73—84no—
233C2×C4×C73—21no—
234C2×C4×C73—21no—
235C2×C4×C73—21no—
236C2×C4×C73—21no—
237C2×C4×C73—21no—
238C2×C4×C73—21no—
239C2×C4×C73—22no—
240C2×C4×C73—22no—
241C2×C4×C73—22no—
242C2×C4×C73—22no—
243C2×C4×C73—22no—
244C2×C4×C73—21no—
245C2×C4×C73—21no—
246C2×C4×C73—22no—
247C2×C4×C73—22no—
248C2×C4×C73—21no—
249C2×C4×C73—21no—
250C2×C4×C73—21no—
251C2×C4×C73—21no—
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—41no—
259C2×C4×C73—41no—
260C2×C4×C73—41no—
261C2×C4×C73—41no—
262C2×C4×C73—41no—
263C2×C4×C73—41no—
264C2×C4×C73—41no—
265C2×C4×C73—41no—
266C2×C4×C73—41no—
267C2×C4×C73—41no—
268C2×C4×C73—41no—
269C2×C4×C73—41no—
270C2×C4×C73—84no—
271C2×C4×C73—84no—
272C2×C4×C73C22⋊Q812yes—
273C2×C4×C73AGL(1,ℤ/8)12yes—
274C2×C4×C73#13712yes—
275C2×C4×C73C22×Q811yescharacteristic
276C2×C4×C73C2×#4111yescharacteristic
277C2×C4×C73C2×#4111yescharacteristic
278C2×C4×C73C2×#4111yescharacteristic
279C2×C4×C73H(5,𝔽2)11yescharacteristic
280C2×C4×C73H(5,𝔽2)11yescharacteristic
281C8×C73—41no—
282C8×C73—41no—
283C8×C73—41no—
284C8×C73—41no—
285C22×C73—22no—
286C22×C73—22no—
287C22×C73—22no—
288C22×C73—41no—
289C22×C73—41no—
290C22×C73—41no—
291C22×C73—41no—
292C22×C73—42no—
293C22×C73—42no—
294C22×C73—42no—
295C22×C73—81no—
296C22×C73—81no—
297C22×C73—81no—
298C22×C73—81no—
299C22×C73C2×C22⋊Q811yescharacteristic
300C22×C73#54611yescharacteristic
301C22×C73#54611yescharacteristic
302C22×C73C2×AGL(1,ℤ/8)11yescharacteristic
303C22×C73C2×#13711yescharacteristic
304C22×C73#57611yescharacteristic
305C22×C73#57711yescharacteristic
306C4×C73—22no—
307C4×C73—22no—
308C4×C73—22no—
309C4×C73—41no—
310C4×C73—42no—
311C4×C73—42no—
312C4×C73—41no—
313C4×C73—42no—
314C4×C73—81no—
315C4×C73—81no—
316C4×C73—81no—
317C4×C73—81no—
318C4×C73#52911yescharacteristic
319C4×C73#53811yescharacteristic
320C4×C73#55411yescharacteristic
321C4×C73#55411yescharacteristic
322#26427C7311yesmaximal, characteristic, direct product factor, Sylow
323C2×C73—42no—
324C2×C73—82no—
325C2×C73#245011yescharacteristic
326C2×C73#307911yescharacteristic
327C2×C73#308111yescharacteristic
328C2×C73#330611yescharacteristic
329C2×C73#332011yescharacteristic
330C2×C73#332511yescharacteristic
331C2×C73#333311yescharacteristic
332#2440C2×C7311yescharacteristic, complemented
333#2363C2×C7311yescharacteristic
334#2099C2×C7311yescharacteristic, complemented
335#2088C2×C7311yescharacteristic, complemented
336#2065C2×C7311yescharacteristic, complemented
337#2023C2×C7311yescharacteristic, complemented
338#1987C2×C7311yescharacteristic, complemented
339#1921C2×C7311yescharacteristic, complemented
340#1895C2×C7311yescharacteristic
341#1874C2×C7311yescharacteristic
342#1862C2×C7311yescharacteristic, complemented
343#1854C2×C7311yescharacteristic, complemented
344#1851C2×C7311yescharacteristic, complemented
345#1802C2×C7311yescharacteristic, complemented
346#1736C2×C7311yescharacteristic, complemented
347C73#2642711yescharacteristic, direct product factor, Sylow
348C22×M16C22×C7311yescharacteristic
349C2×C4⋊Q8C22×C7311yescharacteristic
350C2×C22⋊Q8—21no—
351C2×#121C22×C7311yescharacteristic
352C2×C4×D4C22×C7311yescharacteristic
353C2×#117C22×C7311yescharacteristic
354C22×C4⋊C4C22×C7311yescharacteristic
355C2×#107C22×C7311yescharacteristic
356C2×#106C22×C7311yescharacteristic
357C2×C4⋊C8C22×C7311yescharacteristic
358C2×C4⋊C8C22×C7311yescharacteristic
359C2×#102C22×C7311yescharacteristic
360C2×#102C22×C7311yescharacteristic
361C2×#102C22×C7311yescharacteristic
362C2×#102C22×C7311yescharacteristic
363C2×C22⋊C8C22×C7311yescharacteristic
364#398—21no—
365#395—21no—
366#390—21no—
367#390C22×C7311yescharacteristic
368#389C22×C7311yescharacteristic
369#389C22×C7311yescharacteristic
370#389C22×C7311yescharacteristic
371#388—21no—
372#386—21no—
373#385—21no—
374#384C22×C7311yescharacteristic
375#380C22×C7311yescharacteristic
376C4×C4⋊C4C22×C7311yescharacteristic
377C4×C22⋊C4—21no—
378C4×C22⋊C4C22×C7311yescharacteristic
379#340C22×C7311yescharacteristic
380#340C22×C7311yescharacteristic
381#340C22×C7311yescharacteristic
382#340C22×C7311yescharacteristic
383#340C22×C7311yescharacteristic
384#340C22×C7311yescharacteristic
385#340C22×C7311yescharacteristic
386#340C22×C7311yescharacteristic
387#340C22×C7311yescharacteristic
388#340C22×C7311yescharacteristic
389#336C22×C7311yescharacteristic
390#336C22×C7311yescharacteristic
391C22×Q8—21no—
392C22×D4—21no—
393C22×D4C23×C7311yescharacteristic
394C23×C4—21no—
395C23×C4—21no—
396C23×C4C23×C7311yescharacteristic
397C2×M16—22no—
398C2×M16—41no—
399C2×M16—41no—
400C22×C8C23×C7311yescharacteristic
401C22×C8C23×C7311yescharacteristic
402C22×C8C23×C7311yescharacteristic
403C22×C8C23×C7311yescharacteristic
404C4⋊Q8—22no—
405C4⋊Q8—41no—
406C22⋊Q8—44no—
407#121—22no—
408#121Q8×C7314yescomplemented
409C4×D4—22no—
410C4×D4—41no—
411#117—22no—
412#117—41no—
413C2×C4⋊C4—22no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—41no—
422C2×C4⋊C4C23×C7311yescharacteristic
423C2×C4⋊C4C23×C7311yescharacteristic
424C2×C4⋊C4C23×C7311yescharacteristic
425C2×C4⋊C4C23×C7311yescharacteristic
426C2×C4⋊C4C23×C7311yescharacteristic
427C2×C4⋊C4C23×C7311yescharacteristic
428C2×C4⋊C4C23×C7311yescharacteristic
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4D4×C7311yescharacteristic
436C2×C22⋊C4D4×C7311yescharacteristic
437C2×C42—21no—
438C2×C42—21no—
439C2×C42C23×C7311yescharacteristic
440C2×C42C23×C7311yescharacteristic
441#107—22no—
442#106—41no—
443C4⋊C8—41no—
444C4⋊C8—41no—
445#102—22no—
446#102—41no—
447#102—41no—
448#102—41no—
449C22⋊C8—22no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95D4×C7311yescharacteristic
456#95D4×C7311yescharacteristic
457C24—21no—
458C24C2×D4×C7311yescharacteristic
459C2×Q8—42no—
460C2×Q8—42no—
461C2×Q8—81no—
462C2×D4—24no—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—81no—
469C2×D4—81no—
470C2×D4C2×Q8×C7312yes—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—81no—
487C22×C4—81no—
488C22×C4C2×D4×C7311yescharacteristic
489C22×C4C2×D4×C7311yescharacteristic
490C22×C4C2×D4×C7311yescharacteristic
491C22×C4C2×D4×C7311yescharacteristic
492C22×C4C2×D4×C7311yescharacteristic
493C22×C4C2×Q8×C7312yes—
494C22×C4#41×C7312yes—
495C22×C4C24×C7311yescharacteristic
496M16—44no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—42no—
521C4⋊C4—42no—
522C4⋊C4—42no—
523C4⋊C4—42no—
524C4⋊C4—42no—
525C4⋊C4—81no—
526C4⋊C4—81no—
527C4⋊C4C2×Q8×C7312yes—
528C4⋊C4#41×C7312yes—
529C4⋊C4#41×C7312yes—
530C22⋊C4—24no—
531C22⋊C4—22no—
532C22⋊C4—22no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—81no—
538C42—21no—
539C42—21no—
540C42—21no—
541C42—21no—
542C42—42no—
543C42—81no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—22no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23C22⋊Q8×C7312yes—
558C23C22×D4×C7311yescharacteristic
559Q8—84no—
560D4—22no—
561D4—22no—
562D4—41no—
563D4—41no—
564D4—84no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—84no—
603C2×C4—84no—
604C2×C4C22⋊Q8×C7312yes—
605C2×C4AGL(1,ℤ/8)×C7312yes—
606C2×C4#137×C7312yes—
607C2×C4C22×Q8×C7311yescharacteristic
608C2×C4C2×#41×C7311yescharacteristic
609C2×C4C2×#41×C7311yescharacteristic
610C2×C4C2×#41×C7311yescharacteristic
611C2×C4H(5,𝔽2)×C7311yescharacteristic
612C2×C4H(5,𝔽2)×C7311yescharacteristic
613C8—41no—
614C8—41no—
615C8—41no—
616C8—41no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—42no—
625C22—42no—
626C22—42no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22C2×C22⋊Q8×C7311yescharacteristic
632C22#546×C7311yescharacteristic
633C22#546×C7311yescharacteristic
634C22C2×AGL(1,ℤ/8)×C7311yescharacteristic
635C22C2×#137×C7311yescharacteristic
636C22#576×C7311yescharacteristic
637C22#577×C7311yescharacteristic
638C4—22no—
639C4—22no—
640C4—22no—
641C4—42no—
642C4—41no—
643C4—42no—
644C4—41no—
645C4—42no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4—81no—
650C4#529×C7311yescharacteristic
651C4#538×C7311yescharacteristic
652C4#554×C7311yescharacteristic
653C4#554×C7311yescharacteristic
654C2—42no—
655C2—82no—
656C2C73×#245011yescharacteristic
657C2C73×#307911yescharacteristic
658C2C73×#308111yescharacteristic
659C2C73×#330611yescharacteristic
660C2C73×#332011yescharacteristic
661C2C73×#332511yescharacteristic
662C2C73×#333311yescharacteristic
subgroupG/H
center, socleC23×C73C22×D4
commutator, Frattini, cosocleC22×C4C24×C73
prime radicalC2×#121×C73C22
LCSG ▷ C22×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
1. C73×#2440C2semidirect
3. C73×#2099C2semidirect
4. C73×#2088C2semidirect
5. C73×#2065C2semidirect
6. C73×#2023C2semidirect
7. C73×#1987C2semidirect
8. C73×#1921C2semidirect
11. C73×#1862C2semidirect
12. C73×#1854C2semidirect
13. C73×#1851C2semidirect
14. C73×#1802C2semidirect
15. C73×#1736C2semidirect
76. #121×C73Q8semidirect
322. #26427C73direct (N × H)
332. #2440C2×C73semidirect
334. #2099C2×C73semidirect
335. #2088C2×C73semidirect
336. #2065C2×C73semidirect
337. #2023C2×C73semidirect
338. #1987C2×C73semidirect
339. #1921C2×C73semidirect
342. #1862C2×C73semidirect
343. #1854C2×C73semidirect
344. #1851C2×C73semidirect
345. #1802C2×C73semidirect
346. #1736C2×C73semidirect
347. C73#26427direct (N × H)
408. #121Q8×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#24402
C73×#23632
C73×#20992
C73×#20882
C73×#20652
C73×#20232
C73×#19872
C73×#19212
C73×#18952
C73×#18742
C73×#18622
C73×#18542
C73×#18512
C73×#18022
C73×#17362
#2642773